From 1337009f910ba48f0a84f24144bc558101ad1be1 Mon Sep 17 00:00:00 2001 From: Salvatore Filippone Date: Tue, 1 Feb 2022 10:56:06 +0100 Subject: [PATCH 01/28] Infrastructure for non-local matrix build --- base/modules/desc/psb_hash_map_mod.f90 | 3 ++- base/modules/psb_const_mod.F90 | 3 +++ base/modules/serial/psb_c_mat_mod.F90 | 2 ++ base/modules/serial/psb_d_mat_mod.F90 | 2 ++ base/modules/serial/psb_s_mat_mod.F90 | 2 ++ base/modules/serial/psb_z_mat_mod.F90 | 2 ++ base/modules/tools/psb_c_tools_mod.F90 | 4 +-- base/modules/tools/psb_d_tools_mod.F90 | 4 +-- base/modules/tools/psb_s_tools_mod.F90 | 4 +-- base/modules/tools/psb_z_tools_mod.F90 | 4 +-- base/serial/impl/psb_c_coo_impl.F90 | 1 - base/serial/impl/psb_c_mat_impl.F90 | 7 +++++- base/serial/impl/psb_d_coo_impl.F90 | 1 - base/serial/impl/psb_d_mat_impl.F90 | 7 +++++- base/serial/impl/psb_s_coo_impl.F90 | 1 - base/serial/impl/psb_s_mat_impl.F90 | 7 +++++- base/serial/impl/psb_z_coo_impl.F90 | 1 - base/serial/impl/psb_z_mat_impl.F90 | 7 +++++- base/tools/psb_cspalloc.f90 | 34 ++++++++++++++++++++++---- base/tools/psb_cspasb.f90 | 10 +++++++- base/tools/psb_cspins.F90 | 28 +++++++++++++++++++++ base/tools/psb_dspalloc.f90 | 34 ++++++++++++++++++++++---- base/tools/psb_dspasb.f90 | 10 +++++++- base/tools/psb_dspins.F90 | 28 +++++++++++++++++++++ base/tools/psb_sspalloc.f90 | 34 ++++++++++++++++++++++---- base/tools/psb_sspasb.f90 | 10 +++++++- base/tools/psb_sspins.F90 | 28 +++++++++++++++++++++ base/tools/psb_zspalloc.f90 | 34 ++++++++++++++++++++++---- base/tools/psb_zspasb.f90 | 10 +++++++- base/tools/psb_zspins.F90 | 28 +++++++++++++++++++++ cbind/base/psb_c_serial_cbind_mod.F90 | 33 ------------------------- test/pargen/psb_d_pde3d.F90 | 3 ++- test/pargen/psb_s_pde3d.F90 | 3 ++- 33 files changed, 313 insertions(+), 76 deletions(-) diff --git a/base/modules/desc/psb_hash_map_mod.f90 b/base/modules/desc/psb_hash_map_mod.f90 index 3cfd33a4..5fe7b75b 100644 --- a/base/modules/desc/psb_hash_map_mod.f90 +++ b/base/modules/desc/psb_hash_map_mod.f90 @@ -746,7 +746,8 @@ contains if (info >=0) then if (nxt == lip) then ncol = max(nxt,ncol) - call psb_ensure_size(ncol,idxmap%loc_to_glob,info,pad=-1_psb_lpk_,addsz=laddsz) + call psb_ensure_size(ncol,idxmap%loc_to_glob,info,& + & pad=-1_psb_lpk_,addsz=laddsz) if (info /= psb_success_) then info=1 call psb_errpush(psb_err_from_subroutine_ai_,name,& diff --git a/base/modules/psb_const_mod.F90 b/base/modules/psb_const_mod.F90 index c2277da0..85833a49 100644 --- a/base/modules/psb_const_mod.F90 +++ b/base/modules/psb_const_mod.F90 @@ -204,6 +204,9 @@ module psb_const_mod integer(psb_ipk_), parameter :: psb_spmat_null_=0, psb_spmat_bld_=1 integer(psb_ipk_), parameter :: psb_spmat_asb_=2, psb_spmat_upd_=4 + integer(psb_ipk_), parameter :: psb_matbld_noremote_=0, psb_matbld_remote_=1 + + integer(psb_ipk_), parameter :: psb_ireg_flgs_=10, psb_ip2_=0 integer(psb_ipk_), parameter :: psb_iflag_=2, psb_ichk_=3 integer(psb_ipk_), parameter :: psb_nnzt_=4, psb_zero_=5,psb_ipc_=6 diff --git a/base/modules/serial/psb_c_mat_mod.F90 b/base/modules/serial/psb_c_mat_mod.F90 index 75699249..2ba77fcf 100644 --- a/base/modules/serial/psb_c_mat_mod.F90 +++ b/base/modules/serial/psb_c_mat_mod.F90 @@ -85,6 +85,8 @@ module psb_c_mat_mod type :: psb_cspmat_type class(psb_c_base_sparse_mat), allocatable :: a + integer(psb_ipk_) :: remote_build=psb_matbld_noremote_ + class(psb_lc_base_sparse_mat), allocatable :: rmta contains ! Getters diff --git a/base/modules/serial/psb_d_mat_mod.F90 b/base/modules/serial/psb_d_mat_mod.F90 index ff51d1cb..d03818e7 100644 --- a/base/modules/serial/psb_d_mat_mod.F90 +++ b/base/modules/serial/psb_d_mat_mod.F90 @@ -85,6 +85,8 @@ module psb_d_mat_mod type :: psb_dspmat_type class(psb_d_base_sparse_mat), allocatable :: a + integer(psb_ipk_) :: remote_build=psb_matbld_noremote_ + class(psb_ld_base_sparse_mat), allocatable :: rmta contains ! Getters diff --git a/base/modules/serial/psb_s_mat_mod.F90 b/base/modules/serial/psb_s_mat_mod.F90 index 849c64c3..d748667a 100644 --- a/base/modules/serial/psb_s_mat_mod.F90 +++ b/base/modules/serial/psb_s_mat_mod.F90 @@ -85,6 +85,8 @@ module psb_s_mat_mod type :: psb_sspmat_type class(psb_s_base_sparse_mat), allocatable :: a + integer(psb_ipk_) :: remote_build=psb_matbld_noremote_ + class(psb_ls_base_sparse_mat), allocatable :: rmta contains ! Getters diff --git a/base/modules/serial/psb_z_mat_mod.F90 b/base/modules/serial/psb_z_mat_mod.F90 index fc16ca80..b81a5126 100644 --- a/base/modules/serial/psb_z_mat_mod.F90 +++ b/base/modules/serial/psb_z_mat_mod.F90 @@ -85,6 +85,8 @@ module psb_z_mat_mod type :: psb_zspmat_type class(psb_z_base_sparse_mat), allocatable :: a + integer(psb_ipk_) :: remote_build=psb_matbld_noremote_ + class(psb_lz_base_sparse_mat), allocatable :: rmta contains ! Getters diff --git a/base/modules/tools/psb_c_tools_mod.F90 b/base/modules/tools/psb_c_tools_mod.F90 index 378e146b..91a629e1 100644 --- a/base/modules/tools/psb_c_tools_mod.F90 +++ b/base/modules/tools/psb_c_tools_mod.F90 @@ -239,13 +239,13 @@ Module psb_c_tools_mod interface psb_spall - subroutine psb_cspalloc(a, desc_a, info, nnz) + subroutine psb_cspalloc(a, desc_a, info, nnz, bldmode) import implicit none type(psb_desc_type), intent(in) :: desc_a type(psb_cspmat_type), intent(inout) :: a integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_), optional, intent(in) :: nnz + integer(psb_ipk_), optional, intent(in) :: nnz, bldmode end subroutine psb_cspalloc end interface diff --git a/base/modules/tools/psb_d_tools_mod.F90 b/base/modules/tools/psb_d_tools_mod.F90 index 81c75ece..f76a31eb 100644 --- a/base/modules/tools/psb_d_tools_mod.F90 +++ b/base/modules/tools/psb_d_tools_mod.F90 @@ -239,13 +239,13 @@ Module psb_d_tools_mod interface psb_spall - subroutine psb_dspalloc(a, desc_a, info, nnz) + subroutine psb_dspalloc(a, desc_a, info, nnz, bldmode) import implicit none type(psb_desc_type), intent(in) :: desc_a type(psb_dspmat_type), intent(inout) :: a integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_), optional, intent(in) :: nnz + integer(psb_ipk_), optional, intent(in) :: nnz, bldmode end subroutine psb_dspalloc end interface diff --git a/base/modules/tools/psb_s_tools_mod.F90 b/base/modules/tools/psb_s_tools_mod.F90 index fa82a53e..aa2e6990 100644 --- a/base/modules/tools/psb_s_tools_mod.F90 +++ b/base/modules/tools/psb_s_tools_mod.F90 @@ -239,13 +239,13 @@ Module psb_s_tools_mod interface psb_spall - subroutine psb_sspalloc(a, desc_a, info, nnz) + subroutine psb_sspalloc(a, desc_a, info, nnz, bldmode) import implicit none type(psb_desc_type), intent(in) :: desc_a type(psb_sspmat_type), intent(inout) :: a integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_), optional, intent(in) :: nnz + integer(psb_ipk_), optional, intent(in) :: nnz, bldmode end subroutine psb_sspalloc end interface diff --git a/base/modules/tools/psb_z_tools_mod.F90 b/base/modules/tools/psb_z_tools_mod.F90 index 233f2c20..bdb91e98 100644 --- a/base/modules/tools/psb_z_tools_mod.F90 +++ b/base/modules/tools/psb_z_tools_mod.F90 @@ -239,13 +239,13 @@ Module psb_z_tools_mod interface psb_spall - subroutine psb_zspalloc(a, desc_a, info, nnz) + subroutine psb_zspalloc(a, desc_a, info, nnz, bldmode) import implicit none type(psb_desc_type), intent(in) :: desc_a type(psb_zspmat_type), intent(inout) :: a integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_), optional, intent(in) :: nnz + integer(psb_ipk_), optional, intent(in) :: nnz, bldmode end subroutine psb_zspalloc end interface diff --git a/base/serial/impl/psb_c_coo_impl.F90 b/base/serial/impl/psb_c_coo_impl.F90 index bd03b1b8..0127d00f 100644 --- a/base/serial/impl/psb_c_coo_impl.F90 +++ b/base/serial/impl/psb_c_coo_impl.F90 @@ -6121,7 +6121,6 @@ subroutine psb_lc_coo_csput_a(nz,ia,ja,val,a,imin,imax,jmin,jmax,info) if (nz == 0) return - nza = a%get_nzeros() isza = a%get_size() if (a%is_bld()) then diff --git a/base/serial/impl/psb_c_mat_impl.F90 b/base/serial/impl/psb_c_mat_impl.F90 index 088b012d..df5c4cd9 100644 --- a/base/serial/impl/psb_c_mat_impl.F90 +++ b/base/serial/impl/psb_c_mat_impl.F90 @@ -675,7 +675,12 @@ subroutine psb_c_free(a) call a%a%free() deallocate(a%a) endif - + if (allocated(a%rmta)) then + call a%rmta%free() + deallocate(a%rmta) + end if + a%remote_build = psb_matbld_noremote_ + end subroutine psb_c_free diff --git a/base/serial/impl/psb_d_coo_impl.F90 b/base/serial/impl/psb_d_coo_impl.F90 index d4d88027..7e835261 100644 --- a/base/serial/impl/psb_d_coo_impl.F90 +++ b/base/serial/impl/psb_d_coo_impl.F90 @@ -6121,7 +6121,6 @@ subroutine psb_ld_coo_csput_a(nz,ia,ja,val,a,imin,imax,jmin,jmax,info) if (nz == 0) return - nza = a%get_nzeros() isza = a%get_size() if (a%is_bld()) then diff --git a/base/serial/impl/psb_d_mat_impl.F90 b/base/serial/impl/psb_d_mat_impl.F90 index b21fa40f..2a6fb9a5 100644 --- a/base/serial/impl/psb_d_mat_impl.F90 +++ b/base/serial/impl/psb_d_mat_impl.F90 @@ -675,7 +675,12 @@ subroutine psb_d_free(a) call a%a%free() deallocate(a%a) endif - + if (allocated(a%rmta)) then + call a%rmta%free() + deallocate(a%rmta) + end if + a%remote_build = psb_matbld_noremote_ + end subroutine psb_d_free diff --git a/base/serial/impl/psb_s_coo_impl.F90 b/base/serial/impl/psb_s_coo_impl.F90 index 5ae9dd96..67725ffb 100644 --- a/base/serial/impl/psb_s_coo_impl.F90 +++ b/base/serial/impl/psb_s_coo_impl.F90 @@ -6121,7 +6121,6 @@ subroutine psb_ls_coo_csput_a(nz,ia,ja,val,a,imin,imax,jmin,jmax,info) if (nz == 0) return - nza = a%get_nzeros() isza = a%get_size() if (a%is_bld()) then diff --git a/base/serial/impl/psb_s_mat_impl.F90 b/base/serial/impl/psb_s_mat_impl.F90 index c624dc2f..ce7ce653 100644 --- a/base/serial/impl/psb_s_mat_impl.F90 +++ b/base/serial/impl/psb_s_mat_impl.F90 @@ -675,7 +675,12 @@ subroutine psb_s_free(a) call a%a%free() deallocate(a%a) endif - + if (allocated(a%rmta)) then + call a%rmta%free() + deallocate(a%rmta) + end if + a%remote_build = psb_matbld_noremote_ + end subroutine psb_s_free diff --git a/base/serial/impl/psb_z_coo_impl.F90 b/base/serial/impl/psb_z_coo_impl.F90 index 49e6c7fe..158f1ffe 100644 --- a/base/serial/impl/psb_z_coo_impl.F90 +++ b/base/serial/impl/psb_z_coo_impl.F90 @@ -6121,7 +6121,6 @@ subroutine psb_lz_coo_csput_a(nz,ia,ja,val,a,imin,imax,jmin,jmax,info) if (nz == 0) return - nza = a%get_nzeros() isza = a%get_size() if (a%is_bld()) then diff --git a/base/serial/impl/psb_z_mat_impl.F90 b/base/serial/impl/psb_z_mat_impl.F90 index e008dfdb..2cebf9e7 100644 --- a/base/serial/impl/psb_z_mat_impl.F90 +++ b/base/serial/impl/psb_z_mat_impl.F90 @@ -675,7 +675,12 @@ subroutine psb_z_free(a) call a%a%free() deallocate(a%a) endif - + if (allocated(a%rmta)) then + call a%rmta%free() + deallocate(a%rmta) + end if + a%remote_build = psb_matbld_noremote_ + end subroutine psb_z_free diff --git a/base/tools/psb_cspalloc.f90 b/base/tools/psb_cspalloc.f90 index 69b9e1c2..d5a56609 100644 --- a/base/tools/psb_cspalloc.f90 +++ b/base/tools/psb_cspalloc.f90 @@ -41,7 +41,7 @@ ! nnz - integer(optional). The number of nonzeroes in the matrix. ! (local, user estimate) ! -subroutine psb_cspalloc(a, desc_a, info, nnz) +subroutine psb_cspalloc(a, desc_a, info, nnz, bldmode) use psb_base_mod, psb_protect_name => psb_cspalloc implicit none @@ -49,13 +49,13 @@ subroutine psb_cspalloc(a, desc_a, info, nnz) type(psb_desc_type), intent(in) :: desc_a type(psb_cspmat_type), intent(inout) :: a integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_), optional, intent(in) :: nnz + integer(psb_ipk_), optional, intent(in) :: nnz, bldmode !locals type(psb_ctxt_type) :: ctxt integer(psb_ipk_) :: np, me, err_act - integer(psb_ipk_) :: loc_row,loc_col, nnz_, dectype - integer(psb_lpk_) :: m, n + integer(psb_ipk_) :: loc_row,loc_col, nnz_, dectype, bldmode_ + integer(psb_lpk_) :: m, n, nnzrmt_ integer(psb_ipk_) :: debug_level, debug_unit character(len=20) :: name @@ -96,7 +96,12 @@ subroutine psb_cspalloc(a, desc_a, info, nnz) else nnz_ = max(1,5*loc_row) endif - + if (present(bldmode)) then + bldmode_ = bldmode + else + bldmode_ = psb_matbld_noremote_ + end if + if (debug_level >= psb_debug_ext_) & & write(debug_unit,*) me,' ',trim(name), & & ':allocating size:',loc_row,loc_col,nnz_ @@ -109,6 +114,25 @@ subroutine psb_cspalloc(a, desc_a, info, nnz) goto 9999 end if + write(0,*) name,'Setting a%remote_build ',& + & bldmode_,psb_matbld_noremote_,psb_matbld_remote_ + a%remote_build = bldmode_ + + select case(a%remote_build) + case (psb_matbld_noremote_) + ! nothing needed + write(0,*) name,' matbld_noremote_ nothing needed' + case (psb_matbld_remote_) + write(0,*) name,' matbld_remote_ start ' + allocate(psb_lc_coo_sparse_mat :: a%rmta) + nnzrmt_ = max(100,(nnz_/100)) + call a%rmta%allocate(m,n,nnzrmt_) + + case default + write(0,*) name,'Invalid value for remote_build ' + a%remote_build = psb_matbld_noremote_ + end select + if (debug_level >= psb_debug_ext_) & & write(debug_unit,*) me,' ',trim(name),': ', & & desc_a%get_dectype(),psb_desc_bld_ diff --git a/base/tools/psb_cspasb.f90 b/base/tools/psb_cspasb.f90 index 96ed7fe7..0c2ade2d 100644 --- a/base/tools/psb_cspasb.f90 +++ b/base/tools/psb_cspasb.f90 @@ -111,7 +111,15 @@ subroutine psb_cspasb(a,desc_a, info, afmt, upd, dupl, mold) call a%set_ncols(n_col) end if - if (a%is_bld()) then + if (a%is_bld()) then + + select case(a%remote_build) + case (psb_matbld_noremote_) + ! nothing needed + case (psb_matbld_remote_) + write(0,*) 'Need to implement data movement! ' + end select + call a%cscnv(info,type=afmt,dupl=dupl, mold=mold) else if (a%is_upd()) then call a%asb(mold=mold) diff --git a/base/tools/psb_cspins.F90 b/base/tools/psb_cspins.F90 index 15ea556f..0084aa7d 100644 --- a/base/tools/psb_cspins.F90 +++ b/base/tools/psb_cspins.F90 @@ -70,6 +70,10 @@ subroutine psb_cspins(nz,ia,ja,val,a,desc_a,info,rebuild,local) integer(psb_ipk_), parameter :: relocsz=200 logical :: rebuild_, local_ integer(psb_ipk_), allocatable :: ila(:),jla(:) + integer(psb_ipk_) :: i,k + integer(psb_lpk_) :: nnl + integer(psb_lpk_), allocatable :: lila(:),ljla(:) + complex(psb_spk_), allocatable :: lval(:) character(len=20) :: name info = psb_success_ @@ -147,6 +151,30 @@ subroutine psb_cspins(nz,ia,ja,val,a,desc_a,info,rebuild,local) call psb_errpush(info,name,a_err='a%csput') goto 9999 end if + + select case(a%remote_build) + case (psb_matbld_noremote_) + ! Do nothing + case (psb_matbld_remote_) + nnl = count(ila(1:nz)<0) + allocate(lila(nnl),ljla(nnl),lval(nnl)) + k = 0 + do i=1,nz + if (ila(i)<0) then + k=k+1 + lila(k) = ia(k) + ljla(k) = ja(k) + lval(k) = val(k) + end if + end do + if (k /= nnl) write(0,*) name,' Wrong conversion?',k,nnl + call a%rmta%csput(nnl,lila,ljla,lval,1_psb_lpk_,desc_a%get_global_rows(),& + & 1_psb_lpk_,desc_a%get_global_rows(),info) + + case default + write(0,*) name,' Ignoring wrong value for %remote_build' + end select + else info = psb_err_invalid_a_and_cd_state_ call psb_errpush(info,name) diff --git a/base/tools/psb_dspalloc.f90 b/base/tools/psb_dspalloc.f90 index 56ad6c93..088d5129 100644 --- a/base/tools/psb_dspalloc.f90 +++ b/base/tools/psb_dspalloc.f90 @@ -41,7 +41,7 @@ ! nnz - integer(optional). The number of nonzeroes in the matrix. ! (local, user estimate) ! -subroutine psb_dspalloc(a, desc_a, info, nnz) +subroutine psb_dspalloc(a, desc_a, info, nnz, bldmode) use psb_base_mod, psb_protect_name => psb_dspalloc implicit none @@ -49,13 +49,13 @@ subroutine psb_dspalloc(a, desc_a, info, nnz) type(psb_desc_type), intent(in) :: desc_a type(psb_dspmat_type), intent(inout) :: a integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_), optional, intent(in) :: nnz + integer(psb_ipk_), optional, intent(in) :: nnz, bldmode !locals type(psb_ctxt_type) :: ctxt integer(psb_ipk_) :: np, me, err_act - integer(psb_ipk_) :: loc_row,loc_col, nnz_, dectype - integer(psb_lpk_) :: m, n + integer(psb_ipk_) :: loc_row,loc_col, nnz_, dectype, bldmode_ + integer(psb_lpk_) :: m, n, nnzrmt_ integer(psb_ipk_) :: debug_level, debug_unit character(len=20) :: name @@ -96,7 +96,12 @@ subroutine psb_dspalloc(a, desc_a, info, nnz) else nnz_ = max(1,5*loc_row) endif - + if (present(bldmode)) then + bldmode_ = bldmode + else + bldmode_ = psb_matbld_noremote_ + end if + if (debug_level >= psb_debug_ext_) & & write(debug_unit,*) me,' ',trim(name), & & ':allocating size:',loc_row,loc_col,nnz_ @@ -109,6 +114,25 @@ subroutine psb_dspalloc(a, desc_a, info, nnz) goto 9999 end if + write(0,*) name,'Setting a%remote_build ',& + & bldmode_,psb_matbld_noremote_,psb_matbld_remote_ + a%remote_build = bldmode_ + + select case(a%remote_build) + case (psb_matbld_noremote_) + ! nothing needed + write(0,*) name,' matbld_noremote_ nothing needed' + case (psb_matbld_remote_) + write(0,*) name,' matbld_remote_ start ' + allocate(psb_ld_coo_sparse_mat :: a%rmta) + nnzrmt_ = max(100,(nnz_/100)) + call a%rmta%allocate(m,n,nnzrmt_) + + case default + write(0,*) name,'Invalid value for remote_build ' + a%remote_build = psb_matbld_noremote_ + end select + if (debug_level >= psb_debug_ext_) & & write(debug_unit,*) me,' ',trim(name),': ', & & desc_a%get_dectype(),psb_desc_bld_ diff --git a/base/tools/psb_dspasb.f90 b/base/tools/psb_dspasb.f90 index 457553f7..293c5edd 100644 --- a/base/tools/psb_dspasb.f90 +++ b/base/tools/psb_dspasb.f90 @@ -111,7 +111,15 @@ subroutine psb_dspasb(a,desc_a, info, afmt, upd, dupl, mold) call a%set_ncols(n_col) end if - if (a%is_bld()) then + if (a%is_bld()) then + + select case(a%remote_build) + case (psb_matbld_noremote_) + ! nothing needed + case (psb_matbld_remote_) + write(0,*) 'Need to implement data movement! ' + end select + call a%cscnv(info,type=afmt,dupl=dupl, mold=mold) else if (a%is_upd()) then call a%asb(mold=mold) diff --git a/base/tools/psb_dspins.F90 b/base/tools/psb_dspins.F90 index 3e9ef0cc..1bd113dc 100644 --- a/base/tools/psb_dspins.F90 +++ b/base/tools/psb_dspins.F90 @@ -70,6 +70,10 @@ subroutine psb_dspins(nz,ia,ja,val,a,desc_a,info,rebuild,local) integer(psb_ipk_), parameter :: relocsz=200 logical :: rebuild_, local_ integer(psb_ipk_), allocatable :: ila(:),jla(:) + integer(psb_ipk_) :: i,k + integer(psb_lpk_) :: nnl + integer(psb_lpk_), allocatable :: lila(:),ljla(:) + real(psb_dpk_), allocatable :: lval(:) character(len=20) :: name info = psb_success_ @@ -147,6 +151,30 @@ subroutine psb_dspins(nz,ia,ja,val,a,desc_a,info,rebuild,local) call psb_errpush(info,name,a_err='a%csput') goto 9999 end if + + select case(a%remote_build) + case (psb_matbld_noremote_) + ! Do nothing + case (psb_matbld_remote_) + nnl = count(ila(1:nz)<0) + allocate(lila(nnl),ljla(nnl),lval(nnl)) + k = 0 + do i=1,nz + if (ila(i)<0) then + k=k+1 + lila(k) = ia(k) + ljla(k) = ja(k) + lval(k) = val(k) + end if + end do + if (k /= nnl) write(0,*) name,' Wrong conversion?',k,nnl + call a%rmta%csput(nnl,lila,ljla,lval,1_psb_lpk_,desc_a%get_global_rows(),& + & 1_psb_lpk_,desc_a%get_global_rows(),info) + + case default + write(0,*) name,' Ignoring wrong value for %remote_build' + end select + else info = psb_err_invalid_a_and_cd_state_ call psb_errpush(info,name) diff --git a/base/tools/psb_sspalloc.f90 b/base/tools/psb_sspalloc.f90 index 15c3c538..1a418f2a 100644 --- a/base/tools/psb_sspalloc.f90 +++ b/base/tools/psb_sspalloc.f90 @@ -41,7 +41,7 @@ ! nnz - integer(optional). The number of nonzeroes in the matrix. ! (local, user estimate) ! -subroutine psb_sspalloc(a, desc_a, info, nnz) +subroutine psb_sspalloc(a, desc_a, info, nnz, bldmode) use psb_base_mod, psb_protect_name => psb_sspalloc implicit none @@ -49,13 +49,13 @@ subroutine psb_sspalloc(a, desc_a, info, nnz) type(psb_desc_type), intent(in) :: desc_a type(psb_sspmat_type), intent(inout) :: a integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_), optional, intent(in) :: nnz + integer(psb_ipk_), optional, intent(in) :: nnz, bldmode !locals type(psb_ctxt_type) :: ctxt integer(psb_ipk_) :: np, me, err_act - integer(psb_ipk_) :: loc_row,loc_col, nnz_, dectype - integer(psb_lpk_) :: m, n + integer(psb_ipk_) :: loc_row,loc_col, nnz_, dectype, bldmode_ + integer(psb_lpk_) :: m, n, nnzrmt_ integer(psb_ipk_) :: debug_level, debug_unit character(len=20) :: name @@ -96,7 +96,12 @@ subroutine psb_sspalloc(a, desc_a, info, nnz) else nnz_ = max(1,5*loc_row) endif - + if (present(bldmode)) then + bldmode_ = bldmode + else + bldmode_ = psb_matbld_noremote_ + end if + if (debug_level >= psb_debug_ext_) & & write(debug_unit,*) me,' ',trim(name), & & ':allocating size:',loc_row,loc_col,nnz_ @@ -109,6 +114,25 @@ subroutine psb_sspalloc(a, desc_a, info, nnz) goto 9999 end if + write(0,*) name,'Setting a%remote_build ',& + & bldmode_,psb_matbld_noremote_,psb_matbld_remote_ + a%remote_build = bldmode_ + + select case(a%remote_build) + case (psb_matbld_noremote_) + ! nothing needed + write(0,*) name,' matbld_noremote_ nothing needed' + case (psb_matbld_remote_) + write(0,*) name,' matbld_remote_ start ' + allocate(psb_ls_coo_sparse_mat :: a%rmta) + nnzrmt_ = max(100,(nnz_/100)) + call a%rmta%allocate(m,n,nnzrmt_) + + case default + write(0,*) name,'Invalid value for remote_build ' + a%remote_build = psb_matbld_noremote_ + end select + if (debug_level >= psb_debug_ext_) & & write(debug_unit,*) me,' ',trim(name),': ', & & desc_a%get_dectype(),psb_desc_bld_ diff --git a/base/tools/psb_sspasb.f90 b/base/tools/psb_sspasb.f90 index f4e6169d..e27724b2 100644 --- a/base/tools/psb_sspasb.f90 +++ b/base/tools/psb_sspasb.f90 @@ -111,7 +111,15 @@ subroutine psb_sspasb(a,desc_a, info, afmt, upd, dupl, mold) call a%set_ncols(n_col) end if - if (a%is_bld()) then + if (a%is_bld()) then + + select case(a%remote_build) + case (psb_matbld_noremote_) + ! nothing needed + case (psb_matbld_remote_) + write(0,*) 'Need to implement data movement! ' + end select + call a%cscnv(info,type=afmt,dupl=dupl, mold=mold) else if (a%is_upd()) then call a%asb(mold=mold) diff --git a/base/tools/psb_sspins.F90 b/base/tools/psb_sspins.F90 index 1fd6eed0..2ae3d8df 100644 --- a/base/tools/psb_sspins.F90 +++ b/base/tools/psb_sspins.F90 @@ -70,6 +70,10 @@ subroutine psb_sspins(nz,ia,ja,val,a,desc_a,info,rebuild,local) integer(psb_ipk_), parameter :: relocsz=200 logical :: rebuild_, local_ integer(psb_ipk_), allocatable :: ila(:),jla(:) + integer(psb_ipk_) :: i,k + integer(psb_lpk_) :: nnl + integer(psb_lpk_), allocatable :: lila(:),ljla(:) + real(psb_spk_), allocatable :: lval(:) character(len=20) :: name info = psb_success_ @@ -147,6 +151,30 @@ subroutine psb_sspins(nz,ia,ja,val,a,desc_a,info,rebuild,local) call psb_errpush(info,name,a_err='a%csput') goto 9999 end if + + select case(a%remote_build) + case (psb_matbld_noremote_) + ! Do nothing + case (psb_matbld_remote_) + nnl = count(ila(1:nz)<0) + allocate(lila(nnl),ljla(nnl),lval(nnl)) + k = 0 + do i=1,nz + if (ila(i)<0) then + k=k+1 + lila(k) = ia(k) + ljla(k) = ja(k) + lval(k) = val(k) + end if + end do + if (k /= nnl) write(0,*) name,' Wrong conversion?',k,nnl + call a%rmta%csput(nnl,lila,ljla,lval,1_psb_lpk_,desc_a%get_global_rows(),& + & 1_psb_lpk_,desc_a%get_global_rows(),info) + + case default + write(0,*) name,' Ignoring wrong value for %remote_build' + end select + else info = psb_err_invalid_a_and_cd_state_ call psb_errpush(info,name) diff --git a/base/tools/psb_zspalloc.f90 b/base/tools/psb_zspalloc.f90 index 16d48734..6d95f179 100644 --- a/base/tools/psb_zspalloc.f90 +++ b/base/tools/psb_zspalloc.f90 @@ -41,7 +41,7 @@ ! nnz - integer(optional). The number of nonzeroes in the matrix. ! (local, user estimate) ! -subroutine psb_zspalloc(a, desc_a, info, nnz) +subroutine psb_zspalloc(a, desc_a, info, nnz, bldmode) use psb_base_mod, psb_protect_name => psb_zspalloc implicit none @@ -49,13 +49,13 @@ subroutine psb_zspalloc(a, desc_a, info, nnz) type(psb_desc_type), intent(in) :: desc_a type(psb_zspmat_type), intent(inout) :: a integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_), optional, intent(in) :: nnz + integer(psb_ipk_), optional, intent(in) :: nnz, bldmode !locals type(psb_ctxt_type) :: ctxt integer(psb_ipk_) :: np, me, err_act - integer(psb_ipk_) :: loc_row,loc_col, nnz_, dectype - integer(psb_lpk_) :: m, n + integer(psb_ipk_) :: loc_row,loc_col, nnz_, dectype, bldmode_ + integer(psb_lpk_) :: m, n, nnzrmt_ integer(psb_ipk_) :: debug_level, debug_unit character(len=20) :: name @@ -96,7 +96,12 @@ subroutine psb_zspalloc(a, desc_a, info, nnz) else nnz_ = max(1,5*loc_row) endif - + if (present(bldmode)) then + bldmode_ = bldmode + else + bldmode_ = psb_matbld_noremote_ + end if + if (debug_level >= psb_debug_ext_) & & write(debug_unit,*) me,' ',trim(name), & & ':allocating size:',loc_row,loc_col,nnz_ @@ -109,6 +114,25 @@ subroutine psb_zspalloc(a, desc_a, info, nnz) goto 9999 end if + write(0,*) name,'Setting a%remote_build ',& + & bldmode_,psb_matbld_noremote_,psb_matbld_remote_ + a%remote_build = bldmode_ + + select case(a%remote_build) + case (psb_matbld_noremote_) + ! nothing needed + write(0,*) name,' matbld_noremote_ nothing needed' + case (psb_matbld_remote_) + write(0,*) name,' matbld_remote_ start ' + allocate(psb_lz_coo_sparse_mat :: a%rmta) + nnzrmt_ = max(100,(nnz_/100)) + call a%rmta%allocate(m,n,nnzrmt_) + + case default + write(0,*) name,'Invalid value for remote_build ' + a%remote_build = psb_matbld_noremote_ + end select + if (debug_level >= psb_debug_ext_) & & write(debug_unit,*) me,' ',trim(name),': ', & & desc_a%get_dectype(),psb_desc_bld_ diff --git a/base/tools/psb_zspasb.f90 b/base/tools/psb_zspasb.f90 index b5966110..7021bbaa 100644 --- a/base/tools/psb_zspasb.f90 +++ b/base/tools/psb_zspasb.f90 @@ -111,7 +111,15 @@ subroutine psb_zspasb(a,desc_a, info, afmt, upd, dupl, mold) call a%set_ncols(n_col) end if - if (a%is_bld()) then + if (a%is_bld()) then + + select case(a%remote_build) + case (psb_matbld_noremote_) + ! nothing needed + case (psb_matbld_remote_) + write(0,*) 'Need to implement data movement! ' + end select + call a%cscnv(info,type=afmt,dupl=dupl, mold=mold) else if (a%is_upd()) then call a%asb(mold=mold) diff --git a/base/tools/psb_zspins.F90 b/base/tools/psb_zspins.F90 index 525ed415..d76450e3 100644 --- a/base/tools/psb_zspins.F90 +++ b/base/tools/psb_zspins.F90 @@ -70,6 +70,10 @@ subroutine psb_zspins(nz,ia,ja,val,a,desc_a,info,rebuild,local) integer(psb_ipk_), parameter :: relocsz=200 logical :: rebuild_, local_ integer(psb_ipk_), allocatable :: ila(:),jla(:) + integer(psb_ipk_) :: i,k + integer(psb_lpk_) :: nnl + integer(psb_lpk_), allocatable :: lila(:),ljla(:) + complex(psb_dpk_), allocatable :: lval(:) character(len=20) :: name info = psb_success_ @@ -147,6 +151,30 @@ subroutine psb_zspins(nz,ia,ja,val,a,desc_a,info,rebuild,local) call psb_errpush(info,name,a_err='a%csput') goto 9999 end if + + select case(a%remote_build) + case (psb_matbld_noremote_) + ! Do nothing + case (psb_matbld_remote_) + nnl = count(ila(1:nz)<0) + allocate(lila(nnl),ljla(nnl),lval(nnl)) + k = 0 + do i=1,nz + if (ila(i)<0) then + k=k+1 + lila(k) = ia(k) + ljla(k) = ja(k) + lval(k) = val(k) + end if + end do + if (k /= nnl) write(0,*) name,' Wrong conversion?',k,nnl + call a%rmta%csput(nnl,lila,ljla,lval,1_psb_lpk_,desc_a%get_global_rows(),& + & 1_psb_lpk_,desc_a%get_global_rows(),info) + + case default + write(0,*) name,' Ignoring wrong value for %remote_build' + end select + else info = psb_err_invalid_a_and_cd_state_ call psb_errpush(info,name) diff --git a/cbind/base/psb_c_serial_cbind_mod.F90 b/cbind/base/psb_c_serial_cbind_mod.F90 index dba41b67..b298d84a 100644 --- a/cbind/base/psb_c_serial_cbind_mod.F90 +++ b/cbind/base/psb_c_serial_cbind_mod.F90 @@ -204,38 +204,5 @@ contains end function psb_c_cvect_set_vect - function psb_c_g2l(cdh,gindex,cowned) bind(c) result(lindex) - use psb_base_mod - implicit none - - integer(psb_c_lpk_), value :: gindex - logical(c_bool), value :: cowned - type(psb_c_descriptor) :: cdh - integer(psb_c_ipk_) :: lindex - - type(psb_desc_type), pointer :: descp - integer(psb_ipk_) :: info, localindex, ixb, iam, np - logical :: owned - - ixb = psb_c_get_index_base() - owned = cowned - lindex = -1 - if (c_associated(cdh%item)) then - call c_f_pointer(cdh%item,descp) - else - return - end if - - call psb_info(descp%get_context(),iam,np) - if (ixb == 1) then - call descp%indxmap%g2l(gindex,localindex,info,owned=owned) - lindex = localindex - else - call descp%indxmap%g2l(gindex+(1-ixb),localindex,info,owned=owned) - lindex = localindex-(1-ixb) - endif - - end function psb_c_g2l - end module psb_c_serial_cbind_mod diff --git a/test/pargen/psb_d_pde3d.F90 b/test/pargen/psb_d_pde3d.F90 index def2ea37..2e3976ce 100644 --- a/test/pargen/psb_d_pde3d.F90 +++ b/test/pargen/psb_d_pde3d.F90 @@ -429,7 +429,8 @@ contains end select - if (info == psb_success_) call psb_spall(a,desc_a,info,nnz=nnz) + if (info == psb_success_) call psb_spall(a,desc_a,info,nnz=nnz, & + & bldmode=psb_matbld_remote_) ! define rhs from boundary conditions; also build initial guess if (info == psb_success_) call psb_geall(xv,desc_a,info) if (info == psb_success_) call psb_geall(bv,desc_a,info) diff --git a/test/pargen/psb_s_pde3d.F90 b/test/pargen/psb_s_pde3d.F90 index 619a7f75..a4788338 100644 --- a/test/pargen/psb_s_pde3d.F90 +++ b/test/pargen/psb_s_pde3d.F90 @@ -429,7 +429,8 @@ contains end select - if (info == psb_success_) call psb_spall(a,desc_a,info,nnz=nnz) + if (info == psb_success_) call psb_spall(a,desc_a,info,nnz=nnz, & + & bldmode=psb_matbld_remote_) ! define rhs from boundary conditions; also build initial guess if (info == psb_success_) call psb_geall(xv,desc_a,info) if (info == psb_success_) call psb_geall(bv,desc_a,info) From 0e676d2903c8f57ef6247a88ddf8db1826a1542e Mon Sep 17 00:00:00 2001 From: Salvatore Filippone Date: Tue, 1 Feb 2022 13:15:48 +0100 Subject: [PATCH 02/28] Infrastructure for remote builds --- base/tools/psb_cspasb.f90 | 2 +- base/tools/psb_cspins.F90 | 30 +++++++++++++------------- base/tools/psb_dspasb.f90 | 2 +- base/tools/psb_dspins.F90 | 31 ++++++++++++++------------- base/tools/psb_sspasb.f90 | 2 +- base/tools/psb_sspins.F90 | 30 +++++++++++++------------- base/tools/psb_zspasb.f90 | 2 +- base/tools/psb_zspins.F90 | 30 +++++++++++++------------- test/pargen/psb_d_pde3d.F90 | 42 ++++++++++++++++++++++++++++++++----- 9 files changed, 106 insertions(+), 65 deletions(-) diff --git a/base/tools/psb_cspasb.f90 b/base/tools/psb_cspasb.f90 index 0c2ade2d..747d1427 100644 --- a/base/tools/psb_cspasb.f90 +++ b/base/tools/psb_cspasb.f90 @@ -117,7 +117,7 @@ subroutine psb_cspasb(a,desc_a, info, afmt, upd, dupl, mold) case (psb_matbld_noremote_) ! nothing needed case (psb_matbld_remote_) - write(0,*) 'Need to implement data movement! ' + write(0,*) me,' Size of rmta:',a%rmta%get_nzeros() end select call a%cscnv(info,type=afmt,dupl=dupl, mold=mold) diff --git a/base/tools/psb_cspins.F90 b/base/tools/psb_cspins.F90 index 0084aa7d..2961c646 100644 --- a/base/tools/psb_cspins.F90 +++ b/base/tools/psb_cspins.F90 @@ -157,20 +157,22 @@ subroutine psb_cspins(nz,ia,ja,val,a,desc_a,info,rebuild,local) ! Do nothing case (psb_matbld_remote_) nnl = count(ila(1:nz)<0) - allocate(lila(nnl),ljla(nnl),lval(nnl)) - k = 0 - do i=1,nz - if (ila(i)<0) then - k=k+1 - lila(k) = ia(k) - ljla(k) = ja(k) - lval(k) = val(k) - end if - end do - if (k /= nnl) write(0,*) name,' Wrong conversion?',k,nnl - call a%rmta%csput(nnl,lila,ljla,lval,1_psb_lpk_,desc_a%get_global_rows(),& - & 1_psb_lpk_,desc_a%get_global_rows(),info) - + if (nnl > 0) then + write(0,*) 'Check on insert ',nnl + allocate(lila(nnl),ljla(nnl),lval(nnl)) + k = 0 + do i=1,nz + if (ila(i)<0) then + k=k+1 + lila(k) = ia(k) + ljla(k) = ja(k) + lval(k) = val(k) + end if + end do + if (k /= nnl) write(0,*) name,' Wrong conversion?',k,nnl + call a%rmta%csput(nnl,lila,ljla,lval,1_psb_lpk_,desc_a%get_global_rows(),& + & 1_psb_lpk_,desc_a%get_global_rows(),info) + end if case default write(0,*) name,' Ignoring wrong value for %remote_build' end select diff --git a/base/tools/psb_dspasb.f90 b/base/tools/psb_dspasb.f90 index 293c5edd..14204ad9 100644 --- a/base/tools/psb_dspasb.f90 +++ b/base/tools/psb_dspasb.f90 @@ -117,7 +117,7 @@ subroutine psb_dspasb(a,desc_a, info, afmt, upd, dupl, mold) case (psb_matbld_noremote_) ! nothing needed case (psb_matbld_remote_) - write(0,*) 'Need to implement data movement! ' + write(0,*) me,' Size of rmta:',a%rmta%get_nzeros() end select call a%cscnv(info,type=afmt,dupl=dupl, mold=mold) diff --git a/base/tools/psb_dspins.F90 b/base/tools/psb_dspins.F90 index 1bd113dc..ac074487 100644 --- a/base/tools/psb_dspins.F90 +++ b/base/tools/psb_dspins.F90 @@ -156,21 +156,24 @@ subroutine psb_dspins(nz,ia,ja,val,a,desc_a,info,rebuild,local) case (psb_matbld_noremote_) ! Do nothing case (psb_matbld_remote_) - nnl = count(ila(1:nz)<0) - allocate(lila(nnl),ljla(nnl),lval(nnl)) - k = 0 - do i=1,nz - if (ila(i)<0) then - k=k+1 - lila(k) = ia(k) - ljla(k) = ja(k) - lval(k) = val(k) - end if - end do - if (k /= nnl) write(0,*) name,' Wrong conversion?',k,nnl - call a%rmta%csput(nnl,lila,ljla,lval,1_psb_lpk_,desc_a%get_global_rows(),& - & 1_psb_lpk_,desc_a%get_global_rows(),info) + nnl = count(ila(1:nz)<0) + if (nnl > 0) then + write(0,*) 'Check on insert ',nnl + allocate(lila(nnl),ljla(nnl),lval(nnl)) + k = 0 + do i=1,nz + if (ila(i)<0) then + k=k+1 + lila(k) = ia(k) + ljla(k) = ja(k) + lval(k) = val(k) + end if + end do + if (k /= nnl) write(0,*) name,' Wrong conversion?',k,nnl + call a%rmta%csput(nnl,lila,ljla,lval,1_psb_lpk_,desc_a%get_global_rows(),& + & 1_psb_lpk_,desc_a%get_global_rows(),info) + end if case default write(0,*) name,' Ignoring wrong value for %remote_build' end select diff --git a/base/tools/psb_sspasb.f90 b/base/tools/psb_sspasb.f90 index e27724b2..4c019622 100644 --- a/base/tools/psb_sspasb.f90 +++ b/base/tools/psb_sspasb.f90 @@ -117,7 +117,7 @@ subroutine psb_sspasb(a,desc_a, info, afmt, upd, dupl, mold) case (psb_matbld_noremote_) ! nothing needed case (psb_matbld_remote_) - write(0,*) 'Need to implement data movement! ' + write(0,*) me,' Size of rmta:',a%rmta%get_nzeros() end select call a%cscnv(info,type=afmt,dupl=dupl, mold=mold) diff --git a/base/tools/psb_sspins.F90 b/base/tools/psb_sspins.F90 index 2ae3d8df..f8971ce2 100644 --- a/base/tools/psb_sspins.F90 +++ b/base/tools/psb_sspins.F90 @@ -157,20 +157,22 @@ subroutine psb_sspins(nz,ia,ja,val,a,desc_a,info,rebuild,local) ! Do nothing case (psb_matbld_remote_) nnl = count(ila(1:nz)<0) - allocate(lila(nnl),ljla(nnl),lval(nnl)) - k = 0 - do i=1,nz - if (ila(i)<0) then - k=k+1 - lila(k) = ia(k) - ljla(k) = ja(k) - lval(k) = val(k) - end if - end do - if (k /= nnl) write(0,*) name,' Wrong conversion?',k,nnl - call a%rmta%csput(nnl,lila,ljla,lval,1_psb_lpk_,desc_a%get_global_rows(),& - & 1_psb_lpk_,desc_a%get_global_rows(),info) - + if (nnl > 0) then + write(0,*) 'Check on insert ',nnl + allocate(lila(nnl),ljla(nnl),lval(nnl)) + k = 0 + do i=1,nz + if (ila(i)<0) then + k=k+1 + lila(k) = ia(k) + ljla(k) = ja(k) + lval(k) = val(k) + end if + end do + if (k /= nnl) write(0,*) name,' Wrong conversion?',k,nnl + call a%rmta%csput(nnl,lila,ljla,lval,1_psb_lpk_,desc_a%get_global_rows(),& + & 1_psb_lpk_,desc_a%get_global_rows(),info) + end if case default write(0,*) name,' Ignoring wrong value for %remote_build' end select diff --git a/base/tools/psb_zspasb.f90 b/base/tools/psb_zspasb.f90 index 7021bbaa..6c9fc76f 100644 --- a/base/tools/psb_zspasb.f90 +++ b/base/tools/psb_zspasb.f90 @@ -117,7 +117,7 @@ subroutine psb_zspasb(a,desc_a, info, afmt, upd, dupl, mold) case (psb_matbld_noremote_) ! nothing needed case (psb_matbld_remote_) - write(0,*) 'Need to implement data movement! ' + write(0,*) me,' Size of rmta:',a%rmta%get_nzeros() end select call a%cscnv(info,type=afmt,dupl=dupl, mold=mold) diff --git a/base/tools/psb_zspins.F90 b/base/tools/psb_zspins.F90 index d76450e3..bfe61a17 100644 --- a/base/tools/psb_zspins.F90 +++ b/base/tools/psb_zspins.F90 @@ -157,20 +157,22 @@ subroutine psb_zspins(nz,ia,ja,val,a,desc_a,info,rebuild,local) ! Do nothing case (psb_matbld_remote_) nnl = count(ila(1:nz)<0) - allocate(lila(nnl),ljla(nnl),lval(nnl)) - k = 0 - do i=1,nz - if (ila(i)<0) then - k=k+1 - lila(k) = ia(k) - ljla(k) = ja(k) - lval(k) = val(k) - end if - end do - if (k /= nnl) write(0,*) name,' Wrong conversion?',k,nnl - call a%rmta%csput(nnl,lila,ljla,lval,1_psb_lpk_,desc_a%get_global_rows(),& - & 1_psb_lpk_,desc_a%get_global_rows(),info) - + if (nnl > 0) then + write(0,*) 'Check on insert ',nnl + allocate(lila(nnl),ljla(nnl),lval(nnl)) + k = 0 + do i=1,nz + if (ila(i)<0) then + k=k+1 + lila(k) = ia(k) + ljla(k) = ja(k) + lval(k) = val(k) + end if + end do + if (k /= nnl) write(0,*) name,' Wrong conversion?',k,nnl + call a%rmta%csput(nnl,lila,ljla,lval,1_psb_lpk_,desc_a%get_global_rows(),& + & 1_psb_lpk_,desc_a%get_global_rows(),info) + end if case default write(0,*) name,' Ignoring wrong value for %remote_build' end select diff --git a/test/pargen/psb_d_pde3d.F90 b/test/pargen/psb_d_pde3d.F90 index 2e3976ce..bbef8645 100644 --- a/test/pargen/psb_d_pde3d.F90 +++ b/test/pargen/psb_d_pde3d.F90 @@ -208,7 +208,7 @@ contains type(psb_d_coo_sparse_mat) :: acoo type(psb_d_csr_sparse_mat) :: acsr real(psb_dpk_) :: zt(nb),x,y,z - integer(psb_ipk_) :: nnz,nr,nlr,i,j,ii,ib,k, partition_ + integer(psb_ipk_) :: nnz,nr,nlr,i,j,ii,ib,k, partition_, mysz integer(psb_lpk_) :: m,n,glob_row,nt integer(psb_ipk_) :: ix,iy,iz,ia,indx_owner ! For 3D partition @@ -377,6 +377,30 @@ contains ! call psb_cdall(ctxt,desc_a,info,vl=myidx) + ! + ! Add extra rows + ! + block + integer(psb_ipk_) :: ks + mysz = nlr + if (m>nlr) mysz = mysz + m/nlr + call psb_realloc(mysz,myidx,info) + ks = nlr + outer: do i=1,idim + do j=1,idim + do k=1,idim + if (outside(i,j,k,bndx,bndy,bndz,iamx,iamy,iamz)) then + ks = ks + 1 + if (ks > mysz) exit outer + call ijk2idx(myidx(ks),i,j,k,idim,idim,idim) + end if + end do + end do + end do outer + write(0,*) iam,' Check on extra nodes ',nlr,mysz,':',myidx(nlr+1:mysz) + + end block + ! ! Specify process topology ! @@ -463,8 +487,9 @@ contains call psb_barrier(ctxt) t1 = psb_wtime() - do ii=1, nlr,nb - ib = min(nb,nlr-ii+1) + do ii=1, mysz, nb + !ib = min(nb,nlr-ii+1) + ib = min(nb,mysz-ii+1) icoeff = 1 do k=1,ib i=ii+k-1 @@ -616,8 +641,15 @@ contains return end subroutine psb_d_gen_pde3d - - + function outside(i,j,k,bndx,bndy,bndz,iamx,iamy,iamz) result(res) + logical :: res + integer(psb_ipk_), intent(in) :: i,j,k,iamx,iamy,iamz + integer(psb_ipk_), intent(in) :: bndx(0:),bndy(0:),bndz(0:) + + res = (i=bndx(iamx+1)) & + & .or.(j=bndy(iamy+1)) & + & .or.(k=bndz(iamz+1)) + end function outside end module psb_d_pde3d_mod program psb_d_pde3d From 6d0b26ecf13e8c468bb57526d2cb739c0511aeeb Mon Sep 17 00:00:00 2001 From: Salvatore Filippone Date: Thu, 3 Feb 2022 13:25:51 +0100 Subject: [PATCH 03/28] Further changes for remote build, new method --- base/internals/psi_graph_fnd_owner.F90 | 12 +- base/internals/psi_indx_map_fnd_owner.F90 | 10 +- base/modules/desc/psb_indx_map_mod.f90 | 3 +- base/modules/serial/psb_c_mat_mod.F90 | 2 +- base/modules/serial/psb_d_mat_mod.F90 | 2 +- base/modules/serial/psb_s_mat_mod.F90 | 2 +- base/modules/serial/psb_z_mat_mod.F90 | 2 +- base/modules/tools/psb_c_tools_mod.F90 | 13 +- base/modules/tools/psb_d_tools_mod.F90 | 13 +- base/modules/tools/psb_s_tools_mod.F90 | 13 +- base/modules/tools/psb_z_tools_mod.F90 | 13 +- base/tools/Makefile | 3 +- base/tools/psb_c_remote_mat.F90 | 259 ++++++++++++++++++++++ base/tools/psb_cspalloc.f90 | 2 +- base/tools/psb_cspasb.f90 | 12 +- base/tools/psb_cspins.F90 | 32 ++- base/tools/psb_d_remote_mat.F90 | 259 ++++++++++++++++++++++ base/tools/psb_dspalloc.f90 | 2 +- base/tools/psb_dspasb.f90 | 12 +- base/tools/psb_dspins.F90 | 33 ++- base/tools/psb_s_remote_mat.F90 | 259 ++++++++++++++++++++++ base/tools/psb_sspalloc.f90 | 2 +- base/tools/psb_sspasb.f90 | 12 +- base/tools/psb_sspins.F90 | 32 ++- base/tools/psb_z_remote_mat.F90 | 259 ++++++++++++++++++++++ base/tools/psb_zspalloc.f90 | 2 +- base/tools/psb_zspasb.f90 | 12 +- base/tools/psb_zspins.F90 | 32 ++- test/pargen/psb_d_pde3d.F90 | 141 +++++++++--- test/pargen/psb_s_pde3d.F90 | 127 ++++++++++- 30 files changed, 1499 insertions(+), 78 deletions(-) create mode 100644 base/tools/psb_c_remote_mat.F90 create mode 100644 base/tools/psb_d_remote_mat.F90 create mode 100644 base/tools/psb_s_remote_mat.F90 create mode 100644 base/tools/psb_z_remote_mat.F90 diff --git a/base/internals/psi_graph_fnd_owner.F90 b/base/internals/psi_graph_fnd_owner.F90 index 966af403..e3e7ec4f 100644 --- a/base/internals/psi_graph_fnd_owner.F90 +++ b/base/internals/psi_graph_fnd_owner.F90 @@ -41,6 +41,8 @@ ! ! iprc(:) - integer(psb_ipk_), allocatable Output: process identifiers ! for the corresponding indices +! ladj(:) - integer(psb_ipk_), allocatable Output: A list of adjacent processes +! ! idxmap - class(psb_indx_map). The index map ! info - integer. return code. ! @@ -76,7 +78,7 @@ ! thereby limiting the memory footprint to a predefined maximum ! (that the user can force with psb_cd_set_maxspace()). ! -subroutine psi_graph_fnd_owner(idx,iprc,idxmap,info) +subroutine psi_graph_fnd_owner(idx,iprc,ladj,idxmap,info) use psb_serial_mod use psb_const_mod use psb_error_mod @@ -93,13 +95,13 @@ subroutine psi_graph_fnd_owner(idx,iprc,idxmap,info) include 'mpif.h' #endif integer(psb_lpk_), intent(in) :: idx(:) - integer(psb_ipk_), allocatable, intent(out) :: iprc(:) + integer(psb_ipk_), allocatable, intent(out) :: iprc(:), ladj(:) class(psb_indx_map), intent(inout) :: idxmap integer(psb_ipk_), intent(out) :: info integer(psb_lpk_), allocatable :: tidx(:) - integer(psb_ipk_), allocatable :: tprc(:), tsmpl(:), ladj(:) + integer(psb_ipk_), allocatable :: tprc(:), tsmpl(:) integer(psb_mpk_) :: icomm, minfo integer(psb_ipk_) :: i,n_row,n_col,err_act,ip,j, nsampl_out,& & nv, n_answers, nqries, nsampl_in, locr_max, ist, iend,& @@ -208,7 +210,7 @@ subroutine psi_graph_fnd_owner(idx,iprc,idxmap,info) if (trace.and.(me == 0)) write(0,*) ' Initial sweep on user-defined topology',& & nsampl_in call psi_adj_fnd_sweep(idx,iprc,ladj,idxmap,nsampl_in,n_answers) - call idxmap%xtnd_p_adjcncy(ladj) + !call idxmap%xtnd_p_adjcncy(ladj) nqries = nv - n_answers nqries_max = nqries call psb_max(ctxt,nqries_max) @@ -259,7 +261,7 @@ subroutine psi_graph_fnd_owner(idx,iprc,idxmap,info) ladj = tprc(1:nlansw) call psb_msort_unique(ladj,nadj) call psb_realloc(nadj,ladj,info) - call idxmap%xtnd_p_adjcncy(ladj) + ! call idxmap%xtnd_p_adjcncy(ladj) if (do_timings) call psb_toc(idx_loop_a2a) if (do_timings) call psb_tic(idx_loop_neigh) ! diff --git a/base/internals/psi_indx_map_fnd_owner.F90 b/base/internals/psi_indx_map_fnd_owner.F90 index 0ecade3d..3efcbe59 100644 --- a/base/internals/psi_indx_map_fnd_owner.F90 +++ b/base/internals/psi_indx_map_fnd_owner.F90 @@ -72,7 +72,7 @@ subroutine psi_indx_map_fnd_owner(idx,iprc,idxmap,info) integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_), allocatable :: hhidx(:) + integer(psb_ipk_), allocatable :: hhidx(:), ladj(:) integer(psb_mpk_) :: icomm, minfo integer(psb_ipk_) :: i, err_act, hsize integer(psb_lpk_) :: nv @@ -183,7 +183,7 @@ subroutine psi_indx_map_fnd_owner(idx,iprc,idxmap,info) tidx(k2) = idx(k1) end if end do - call psi_graph_fnd_owner(tidx,tprc,idxmap,info) + call psi_graph_fnd_owner(tidx,tprc,ladj,idxmap,info) k2 = 0 do k1 = 1, nv if (iprc(k1) < 0) then @@ -198,10 +198,10 @@ subroutine psi_indx_map_fnd_owner(idx,iprc,idxmap,info) end do end block else - call psi_graph_fnd_owner(idx,iprc,idxmap,info) + call psi_graph_fnd_owner(idx,iprc,ladj,idxmap,info) end if - - + call idxmap%xtnd_p_adjcncy(ladj) + end if if (gettime) then diff --git a/base/modules/desc/psb_indx_map_mod.f90 b/base/modules/desc/psb_indx_map_mod.f90 index 79526d59..d4ce78f1 100644 --- a/base/modules/desc/psb_indx_map_mod.f90 +++ b/base/modules/desc/psb_indx_map_mod.f90 @@ -303,11 +303,12 @@ module psb_indx_map_mod end interface interface - subroutine psi_graph_fnd_owner(idx,iprc,idxmap,info) + subroutine psi_graph_fnd_owner(idx,iprc,ladj,idxmap,info) import :: psb_indx_map, psb_ipk_, psb_lpk_ implicit none integer(psb_lpk_), intent(in) :: idx(:) integer(psb_ipk_), allocatable, intent(out) :: iprc(:) + integer(psb_ipk_), allocatable, intent(out) :: ladj(:) class(psb_indx_map), intent(inout) :: idxmap integer(psb_ipk_), intent(out) :: info end subroutine psi_graph_fnd_owner diff --git a/base/modules/serial/psb_c_mat_mod.F90 b/base/modules/serial/psb_c_mat_mod.F90 index 2ba77fcf..e3e8ab69 100644 --- a/base/modules/serial/psb_c_mat_mod.F90 +++ b/base/modules/serial/psb_c_mat_mod.F90 @@ -86,7 +86,7 @@ module psb_c_mat_mod class(psb_c_base_sparse_mat), allocatable :: a integer(psb_ipk_) :: remote_build=psb_matbld_noremote_ - class(psb_lc_base_sparse_mat), allocatable :: rmta + type(psb_lc_coo_sparse_mat), allocatable :: rmta contains ! Getters diff --git a/base/modules/serial/psb_d_mat_mod.F90 b/base/modules/serial/psb_d_mat_mod.F90 index d03818e7..a072197e 100644 --- a/base/modules/serial/psb_d_mat_mod.F90 +++ b/base/modules/serial/psb_d_mat_mod.F90 @@ -86,7 +86,7 @@ module psb_d_mat_mod class(psb_d_base_sparse_mat), allocatable :: a integer(psb_ipk_) :: remote_build=psb_matbld_noremote_ - class(psb_ld_base_sparse_mat), allocatable :: rmta + type(psb_ld_coo_sparse_mat), allocatable :: rmta contains ! Getters diff --git a/base/modules/serial/psb_s_mat_mod.F90 b/base/modules/serial/psb_s_mat_mod.F90 index d748667a..20bf3249 100644 --- a/base/modules/serial/psb_s_mat_mod.F90 +++ b/base/modules/serial/psb_s_mat_mod.F90 @@ -86,7 +86,7 @@ module psb_s_mat_mod class(psb_s_base_sparse_mat), allocatable :: a integer(psb_ipk_) :: remote_build=psb_matbld_noremote_ - class(psb_ls_base_sparse_mat), allocatable :: rmta + type(psb_ls_coo_sparse_mat), allocatable :: rmta contains ! Getters diff --git a/base/modules/serial/psb_z_mat_mod.F90 b/base/modules/serial/psb_z_mat_mod.F90 index b81a5126..1ca6941b 100644 --- a/base/modules/serial/psb_z_mat_mod.F90 +++ b/base/modules/serial/psb_z_mat_mod.F90 @@ -86,7 +86,7 @@ module psb_z_mat_mod class(psb_z_base_sparse_mat), allocatable :: a integer(psb_ipk_) :: remote_build=psb_matbld_noremote_ - class(psb_lz_base_sparse_mat), allocatable :: rmta + type(psb_lz_coo_sparse_mat), allocatable :: rmta contains ! Getters diff --git a/base/modules/tools/psb_c_tools_mod.F90 b/base/modules/tools/psb_c_tools_mod.F90 index 91a629e1..1aa2bcbb 100644 --- a/base/modules/tools/psb_c_tools_mod.F90 +++ b/base/modules/tools/psb_c_tools_mod.F90 @@ -254,7 +254,7 @@ Module psb_c_tools_mod import implicit none type(psb_cspmat_type), intent (inout) :: a - type(psb_desc_type), intent(in) :: desc_a + type(psb_desc_type), intent(inout) :: desc_a integer(psb_ipk_), intent(out) :: info integer(psb_ipk_),optional, intent(in) :: dupl, upd character(len=*), optional, intent(in) :: afmt @@ -262,6 +262,17 @@ Module psb_c_tools_mod end subroutine psb_cspasb end interface + interface psb_remote_mat + subroutine psb_lc_remote_mat(a,desc_a,b, info) + import + implicit none + type(psb_lc_coo_sparse_mat),Intent(inout) :: a + type(psb_desc_type),intent(inout) :: desc_a + type(psb_lc_coo_sparse_mat),Intent(inout) :: b + integer(psb_ipk_), intent(out) :: info + end subroutine psb_lc_remote_mat + end interface psb_remote_mat + interface psb_spfree subroutine psb_cspfree(a, desc_a,info) import diff --git a/base/modules/tools/psb_d_tools_mod.F90 b/base/modules/tools/psb_d_tools_mod.F90 index f76a31eb..b73fcb74 100644 --- a/base/modules/tools/psb_d_tools_mod.F90 +++ b/base/modules/tools/psb_d_tools_mod.F90 @@ -254,7 +254,7 @@ Module psb_d_tools_mod import implicit none type(psb_dspmat_type), intent (inout) :: a - type(psb_desc_type), intent(in) :: desc_a + type(psb_desc_type), intent(inout) :: desc_a integer(psb_ipk_), intent(out) :: info integer(psb_ipk_),optional, intent(in) :: dupl, upd character(len=*), optional, intent(in) :: afmt @@ -262,6 +262,17 @@ Module psb_d_tools_mod end subroutine psb_dspasb end interface + interface psb_remote_mat + subroutine psb_ld_remote_mat(a,desc_a,b, info) + import + implicit none + type(psb_ld_coo_sparse_mat),Intent(inout) :: a + type(psb_desc_type),intent(inout) :: desc_a + type(psb_ld_coo_sparse_mat),Intent(inout) :: b + integer(psb_ipk_), intent(out) :: info + end subroutine psb_ld_remote_mat + end interface psb_remote_mat + interface psb_spfree subroutine psb_dspfree(a, desc_a,info) import diff --git a/base/modules/tools/psb_s_tools_mod.F90 b/base/modules/tools/psb_s_tools_mod.F90 index aa2e6990..dfa18e92 100644 --- a/base/modules/tools/psb_s_tools_mod.F90 +++ b/base/modules/tools/psb_s_tools_mod.F90 @@ -254,7 +254,7 @@ Module psb_s_tools_mod import implicit none type(psb_sspmat_type), intent (inout) :: a - type(psb_desc_type), intent(in) :: desc_a + type(psb_desc_type), intent(inout) :: desc_a integer(psb_ipk_), intent(out) :: info integer(psb_ipk_),optional, intent(in) :: dupl, upd character(len=*), optional, intent(in) :: afmt @@ -262,6 +262,17 @@ Module psb_s_tools_mod end subroutine psb_sspasb end interface + interface psb_remote_mat + subroutine psb_ls_remote_mat(a,desc_a,b, info) + import + implicit none + type(psb_ls_coo_sparse_mat),Intent(inout) :: a + type(psb_desc_type),intent(inout) :: desc_a + type(psb_ls_coo_sparse_mat),Intent(inout) :: b + integer(psb_ipk_), intent(out) :: info + end subroutine psb_ls_remote_mat + end interface psb_remote_mat + interface psb_spfree subroutine psb_sspfree(a, desc_a,info) import diff --git a/base/modules/tools/psb_z_tools_mod.F90 b/base/modules/tools/psb_z_tools_mod.F90 index bdb91e98..b76893c7 100644 --- a/base/modules/tools/psb_z_tools_mod.F90 +++ b/base/modules/tools/psb_z_tools_mod.F90 @@ -254,7 +254,7 @@ Module psb_z_tools_mod import implicit none type(psb_zspmat_type), intent (inout) :: a - type(psb_desc_type), intent(in) :: desc_a + type(psb_desc_type), intent(inout) :: desc_a integer(psb_ipk_), intent(out) :: info integer(psb_ipk_),optional, intent(in) :: dupl, upd character(len=*), optional, intent(in) :: afmt @@ -262,6 +262,17 @@ Module psb_z_tools_mod end subroutine psb_zspasb end interface + interface psb_remote_mat + subroutine psb_lz_remote_mat(a,desc_a,b, info) + import + implicit none + type(psb_lz_coo_sparse_mat),Intent(inout) :: a + type(psb_desc_type),intent(inout) :: desc_a + type(psb_lz_coo_sparse_mat),Intent(inout) :: b + integer(psb_ipk_), intent(out) :: info + end subroutine psb_lz_remote_mat + end interface psb_remote_mat + interface psb_spfree subroutine psb_zspfree(a, desc_a,info) import diff --git a/base/tools/Makefile b/base/tools/Makefile index 2c160616..ce13caed 100644 --- a/base/tools/Makefile +++ b/base/tools/Makefile @@ -30,7 +30,8 @@ FOBJS = psb_cdall.o psb_cdals.o psb_cdalv.o psb_cd_inloc.o psb_cdins.o psb_cdprt psb_cgetelem.o psb_dgetelem.o psb_sgetelem.o psb_zgetelem.o MPFOBJS = psb_icdasb.o psb_ssphalo.o psb_dsphalo.o psb_csphalo.o psb_zsphalo.o \ - psb_dcdbldext.o psb_zcdbldext.o psb_scdbldext.o psb_ccdbldext.o + psb_dcdbldext.o psb_zcdbldext.o psb_scdbldext.o psb_ccdbldext.o \ + psb_s_remote_mat.o psb_d_remote_mat.o psb_c_remote_mat.o psb_z_remote_mat.o LIBDIR=.. INCDIR=.. diff --git a/base/tools/psb_c_remote_mat.F90 b/base/tools/psb_c_remote_mat.F90 new file mode 100644 index 00000000..acd2ba6e --- /dev/null +++ b/base/tools/psb_c_remote_mat.F90 @@ -0,0 +1,259 @@ +! +! Parallel Sparse BLAS version 3.5 +! (C) Copyright 2006-2018 +! Salvatore Filippone +! Alfredo Buttari +! +! Redistribution and use in source and binary forms, with or without +! modification, are permitted provided that the following conditions +! are met: +! 1. Redistributions of source code must retain the above copyright +! notice, this list of conditions and the following disclaimer. +! 2. Redistributions in binary form must reproduce the above copyright +! notice, this list of conditions, and the following disclaimer in the +! documentation and/or other materials provided with the distribution. +! 3. The name of the PSBLAS group or the names of its contributors may +! not be used to endorse or promote products derived from this +! software without specific written permission. +! +! THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +! ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED +! TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR +! PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE PSBLAS GROUP OR ITS CONTRIBUTORS +! BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR +! CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF +! SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS +! INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN +! CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) +! ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +! POSSIBILITY OF SUCH DAMAGE. +! +! +! File: psb_csphalo.f90 +! +! Subroutine: psb_csphalo psb_lcsphalo +! This routine does the retrieval of remote matrix rows. +! Retrieval is done through GETROW, therefore it should work +! for any matrix format in A; as for the output, default is CSR. +! +! There is also a specialized version lc_CSR whose interface +! is adapted for the needs of c_par_csr_spspmm. +! +! There are three possible exchange algorithms: +! 1. Use MPI_Alltoallv +! 2. Use psb_simple_a2av +! 3. Use psb_simple_triad_a2av +! Default choice is 3. The MPI variant has proved to be inefficient; +! that is because it is not persistent, therefore you pay the initialization price +! every time, and it is not optimized for a sparse communication pattern, +! most MPI implementations assume that all communications are non-empty. +! The PSB_SIMPLE variants reuse the same communicator, and go for a simplistic +! sequence of sends/receive that is quite efficient for a sparse communication +! pattern. To be refined/reviewed in the future to compare with neighbour +! persistent collectives. +! +! Arguments: +! a - type(psb_cspmat_type) The local part of input matrix A +! desc_a - type(psb_desc_type). The communication descriptor. +! blck - type(psb_cspmat_type) The local part of output matrix BLCK +! info - integer. Return code +! rowcnv - logical Should row/col indices be converted +! colcnv - logical to/from global numbering when sent/received? +! default is .TRUE. +! rowscale - logical Should row/col indices on output be remapped +! colscale - logical from MIN:MAX to 1:(MAX-MIN+1) ? +! default is .FALSE. +! (commmon use is ROWSCALE=.TRUE., COLSCALE=.FALSE.) +! data - integer Which index list in desc_a should be used to retrieve +! rows, default psb_comm_halo_ +! psb_comm_halo_ use halo_index +! psb_comm_ext_ use ext_index +! psb_comm_ovrl_ DISABLED for this routine. +! +Subroutine psb_lc_remote_mat(a,desc_a,b,info) + use psb_base_mod, psb_protect_name => psb_lc_remote_mat + +#ifdef MPI_MOD + use mpi +#endif + Implicit None +#ifdef MPI_H + include 'mpif.h' +#endif + + Type(psb_lc_coo_sparse_mat),Intent(inout) :: a + Type(psb_lc_coo_sparse_mat),Intent(inout) :: b + Type(psb_desc_type), Intent(inout) :: desc_a + integer(psb_ipk_), intent(out) :: info + + ! ...local scalars.... + type(psb_ctxt_type) :: ctxt + integer(psb_ipk_) :: np,me + integer(psb_ipk_) :: counter, proc, i, n_el_send,n_el_recv, & + & n_elem, j, ipx,mat_recv, idxs,idxr,& + & data_,totxch,nxs, nxr, ncg + integer(psb_lpk_) :: r, k, irmin, irmax, icmin, icmax, iszs, iszr, & + & lidx, l1, lnr, lnc, lnnz, idx, ngtz, tot_elem + integer(psb_lpk_) :: nz,nouth + integer(psb_ipk_) :: nnp, nrcvs, nsnds + integer(psb_mpk_) :: icomm, minfo + integer(psb_mpk_), allocatable :: brvindx(:), & + & rvsz(:), bsdindx(:),sdsz(:) + integer(psb_lpk_), allocatable :: iasnd(:), jasnd(:) + complex(psb_spk_), allocatable :: valsnd(:) + type(psb_lc_coo_sparse_mat), allocatable :: acoo + integer(psb_ipk_), pointer :: idxv(:) + class(psb_i_base_vect_type), pointer :: pdxv + integer(psb_ipk_), allocatable :: ipdxv(:), ladj(:), ila(:), iprc(:) + logical :: rowcnv_,colcnv_,rowscale_,colscale_ + character(len=5) :: outfmt_ + integer(psb_ipk_) :: debug_level, debug_unit, err_act + character(len=20) :: name, ch_err + + info=psb_success_ + name='psb_csphalo' + call psb_erractionsave(err_act) + if (psb_errstatus_fatal()) then + info = psb_err_internal_error_ ; goto 9999 + end if + debug_unit = psb_get_debug_unit() + debug_level = psb_get_debug_level() + + ctxt = desc_a%get_context() + icomm = desc_a%get_mpic() + + Call psb_info(ctxt, me, np) + + if (debug_level >= psb_debug_outer_) & + & write(debug_unit,*) me,' ',trim(name),': Start' + + + call b%free() + + Allocate(brvindx(np+1),& + & rvsz(np),sdsz(np),bsdindx(np+1), acoo,stat=info) + + if (info /= psb_success_) then + info=psb_err_alloc_dealloc_ + call psb_errpush(info,name) + goto 9999 + end if + + + nz = a%get_nzeros() + allocate(ila(nz)) + write(0,*) me,name,' size :',nz,size(ila) + call desc_a%g2l(a%ia(1:nz),ila(1:nz),info,owned=.false.) + nouth = count(ila(1:nz)<0) + write(0,*) me,name,' Count out of halo :',nouth + call psb_max(ctxt,nouth) + if ((nouth/=0).and.(me==0)) & + & write(0,*) 'Warning: would require reinit of DESC_A' + + call psi_graph_fnd_owner(a%ia(1:nz),iprc,ladj,desc_a%indxmap,info) + call psb_msort_unique(ladj,nnp) + write(0,*) me,name,' Processes:',ladj(1:nnp) + + icomm = desc_a%get_mpic() + Allocate(brvindx(np+1),& + & rvsz(np),sdsz(np),bsdindx(np+1), stat=info) + sdsz(:)=0 + rvsz(:)=0 + ipx = 1 + brvindx(ipx) = 0 + bsdindx(ipx) = 0 + counter=1 + idx = 0 + idxs = 0 + idxr = 0 + do i=1,nz + if (iprc(i) >=0) then + sdsz(iprc(i)+1) = sdsz(iprc(i)+1) +1 + else + write(0,*)me,name,' Error from fnd_owner: ',iprc(i) + end if + end do + call mpi_alltoall(sdsz,1,psb_mpi_mpk_,& + & rvsz,1,psb_mpi_mpk_,icomm,minfo) + if (minfo /= psb_success_) then + info=psb_err_from_subroutine_ + call psb_errpush(info,name,a_err='mpi_alltoall') + goto 9999 + end if + write(0,*)me,name,' sdsz ',sdsz(:),' rvsz:',rvsz(:) + nsnds = count(sdsz /= 0) + nrcvs = count(rvsz /= 0) + idxs = 0 + idxr = 0 + counter = 1 + + + + + lnnz = max(iszr,iszs,lone) + lnc = a%get_ncols() + call acoo%allocate(lnr,lnc,lnnz) + if (debug_level >= psb_debug_outer_)& + & write(debug_unit,*) me,' ',trim(name),': Sizes:',acoo%get_size(),& + & ' Send:',sdsz(:),' Receive:',rvsz(:) + + if (info == psb_success_) call psb_ensure_size(max(iszs,1),iasnd,info) + if (info == psb_success_) call psb_ensure_size(max(iszs,1),jasnd,info) + if (info == psb_success_) call psb_ensure_size(max(iszs,1),valsnd,info) + if (info /= psb_success_) then + info=psb_err_from_subroutine_ + call psb_errpush(info,name,a_err='ensure_size') + goto 9999 + end if + + select case(psb_get_sp_a2av_alg()) + case(psb_sp_a2av_smpl_triad_) + call psb_simple_triad_a2av(valsnd,iasnd,jasnd,sdsz,bsdindx,& + & acoo%val,acoo%ia,acoo%ja,rvsz,brvindx,ctxt,info) + case(psb_sp_a2av_smpl_v_) + call psb_simple_a2av(valsnd,sdsz,bsdindx,& + & acoo%val,rvsz,brvindx,ctxt,info) + if (info == psb_success_) call psb_simple_a2av(iasnd,sdsz,bsdindx,& + & acoo%ia,rvsz,brvindx,ctxt,info) + if (info == psb_success_) call psb_simple_a2av(jasnd,sdsz,bsdindx,& + & acoo%ja,rvsz,brvindx,ctxt,info) + case(psb_sp_a2av_mpi_) + + call mpi_alltoallv(valsnd,sdsz,bsdindx,psb_mpi_c_spk_,& + & acoo%val,rvsz,brvindx,psb_mpi_c_spk_,icomm,minfo) + if (minfo == mpi_success) & + & call mpi_alltoallv(iasnd,sdsz,bsdindx,psb_mpi_lpk_,& + & acoo%ia,rvsz,brvindx,psb_mpi_lpk_,icomm,minfo) + if (minfo == mpi_success) & + & call mpi_alltoallv(jasnd,sdsz,bsdindx,psb_mpi_lpk_,& + & acoo%ja,rvsz,brvindx,psb_mpi_lpk_,icomm,minfo) + if (minfo /= mpi_success) info = minfo + case default + info = psb_err_internal_error_ + call psb_errpush(info,name,a_err='wrong A2AV alg selector') + goto 9999 + end select + + if (info /= psb_success_) then + info=psb_err_from_subroutine_ + call psb_errpush(info,name,a_err='alltoallv') + goto 9999 + end if + + call acoo%mv_to_coo(b,info) + + + Deallocate(brvindx,bsdindx,rvsz,sdsz,& + & iasnd,jasnd,valsnd,stat=info) + if (debug_level >= psb_debug_outer_)& + & write(debug_unit,*) me,' ',trim(name),': Done' + + call psb_erractionrestore(err_act) + return + +9999 call psb_error_handler(ctxt,err_act) + + return + +End Subroutine psb_lc_remote_mat + diff --git a/base/tools/psb_cspalloc.f90 b/base/tools/psb_cspalloc.f90 index d5a56609..379cb935 100644 --- a/base/tools/psb_cspalloc.f90 +++ b/base/tools/psb_cspalloc.f90 @@ -124,7 +124,7 @@ subroutine psb_cspalloc(a, desc_a, info, nnz, bldmode) write(0,*) name,' matbld_noremote_ nothing needed' case (psb_matbld_remote_) write(0,*) name,' matbld_remote_ start ' - allocate(psb_lc_coo_sparse_mat :: a%rmta) + allocate(a%rmta) nnzrmt_ = max(100,(nnz_/100)) call a%rmta%allocate(m,n,nnzrmt_) diff --git a/base/tools/psb_cspasb.f90 b/base/tools/psb_cspasb.f90 index 747d1427..4904d336 100644 --- a/base/tools/psb_cspasb.f90 +++ b/base/tools/psb_cspasb.f90 @@ -50,13 +50,14 @@ ! subroutine psb_cspasb(a,desc_a, info, afmt, upd, dupl, mold) use psb_base_mod, psb_protect_name => psb_cspasb + use psb_sort_mod use psi_mod implicit none !...Parameters.... type(psb_cspmat_type), intent (inout) :: a - type(psb_desc_type), intent(in) :: desc_a + type(psb_desc_type), intent(inout) :: desc_a integer(psb_ipk_), intent(out) :: info integer(psb_ipk_),optional, intent(in) :: dupl, upd character(len=*), optional, intent(in) :: afmt @@ -117,7 +118,14 @@ subroutine psb_cspasb(a,desc_a, info, afmt, upd, dupl, mold) case (psb_matbld_noremote_) ! nothing needed case (psb_matbld_remote_) - write(0,*) me,' Size of rmta:',a%rmta%get_nzeros() + write(0,*) me,name,' Size of rmta:',a%rmta%get_nzeros() + block + type(psb_lc_coo_sparse_mat) :: a_add + + call psb_remote_mat(a%rmta,desc_a,a_add,info) + + end block + end select call a%cscnv(info,type=afmt,dupl=dupl, mold=mold) diff --git a/base/tools/psb_cspins.F90 b/base/tools/psb_cspins.F90 index 2961c646..6c050b0c 100644 --- a/base/tools/psb_cspins.F90 +++ b/base/tools/psb_cspins.F90 @@ -158,7 +158,7 @@ subroutine psb_cspins(nz,ia,ja,val,a,desc_a,info,rebuild,local) case (psb_matbld_remote_) nnl = count(ila(1:nz)<0) if (nnl > 0) then - write(0,*) 'Check on insert ',nnl + !write(0,*) 'Check on insert ',nnl allocate(lila(nnl),ljla(nnl),lval(nnl)) k = 0 do i=1,nz @@ -198,8 +198,9 @@ subroutine psb_cspins(nz,ia,ja,val,a,desc_a,info,rebuild,local) ila(1:nz) = ia(1:nz) jla(1:nz) = ja(1:nz) else - call desc_a%indxmap%g2l(ia(1:nz),ila(1:nz),info) - if (info == 0) call desc_a%indxmap%g2l(ja(1:nz),jla(1:nz),info) + call desc_a%indxmap%g2l(ia(1:nz),ila(1:nz),info,owned=.true.) + if (info == 0) call desc_a%indxmap%g2l(ja(1:nz),jla(1:nz),info,& + & mask=(ila(1:nz)>0)) end if call a%csput(nz,ila,jla,val,ione,nrow,ione,ncol,info) if (info /= psb_success_) then @@ -207,6 +208,31 @@ subroutine psb_cspins(nz,ia,ja,val,a,desc_a,info,rebuild,local) call psb_errpush(info,name,a_err='a%csput') goto 9999 end if + select case(a%remote_build) + case (psb_matbld_noremote_) + ! Do nothing + case (psb_matbld_remote_) + nnl = count(ila(1:nz)<0) + if (nnl > 0) then + !write(0,*) 'Check on insert ',nnl + allocate(lila(nnl),ljla(nnl),lval(nnl)) + k = 0 + do i=1,nz + if (ila(i)<0) then + k=k+1 + lila(k) = ia(k) + ljla(k) = ja(k) + lval(k) = val(k) + end if + end do + if (k /= nnl) write(0,*) name,' Wrong conversion?',k,nnl + call a%rmta%csput(nnl,lila,ljla,lval,1_psb_lpk_,desc_a%get_global_rows(),& + & 1_psb_lpk_,desc_a%get_global_rows(),info) + end if + case default + write(0,*) name,' Ignoring wrong value for %remote_build' + end select + else info = psb_err_invalid_cd_state_ call psb_errpush(info,name) diff --git a/base/tools/psb_d_remote_mat.F90 b/base/tools/psb_d_remote_mat.F90 new file mode 100644 index 00000000..3e35970a --- /dev/null +++ b/base/tools/psb_d_remote_mat.F90 @@ -0,0 +1,259 @@ +! +! Parallel Sparse BLAS version 3.5 +! (C) Copyright 2006-2018 +! Salvatore Filippone +! Alfredo Buttari +! +! Redistribution and use in source and binary forms, with or without +! modification, are permitted provided that the following conditions +! are met: +! 1. Redistributions of source code must retain the above copyright +! notice, this list of conditions and the following disclaimer. +! 2. Redistributions in binary form must reproduce the above copyright +! notice, this list of conditions, and the following disclaimer in the +! documentation and/or other materials provided with the distribution. +! 3. The name of the PSBLAS group or the names of its contributors may +! not be used to endorse or promote products derived from this +! software without specific written permission. +! +! THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +! ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED +! TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR +! PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE PSBLAS GROUP OR ITS CONTRIBUTORS +! BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR +! CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF +! SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS +! INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN +! CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) +! ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +! POSSIBILITY OF SUCH DAMAGE. +! +! +! File: psb_dsphalo.f90 +! +! Subroutine: psb_dsphalo psb_ldsphalo +! This routine does the retrieval of remote matrix rows. +! Retrieval is done through GETROW, therefore it should work +! for any matrix format in A; as for the output, default is CSR. +! +! There is also a specialized version ld_CSR whose interface +! is adapted for the needs of d_par_csr_spspmm. +! +! There are three possible exchange algorithms: +! 1. Use MPI_Alltoallv +! 2. Use psb_simple_a2av +! 3. Use psb_simple_triad_a2av +! Default choice is 3. The MPI variant has proved to be inefficient; +! that is because it is not persistent, therefore you pay the initialization price +! every time, and it is not optimized for a sparse communication pattern, +! most MPI implementations assume that all communications are non-empty. +! The PSB_SIMPLE variants reuse the same communicator, and go for a simplistic +! sequence of sends/receive that is quite efficient for a sparse communication +! pattern. To be refined/reviewed in the future to compare with neighbour +! persistent collectives. +! +! Arguments: +! a - type(psb_dspmat_type) The local part of input matrix A +! desc_a - type(psb_desc_type). The communication descriptor. +! blck - type(psb_dspmat_type) The local part of output matrix BLCK +! info - integer. Return code +! rowcnv - logical Should row/col indices be converted +! colcnv - logical to/from global numbering when sent/received? +! default is .TRUE. +! rowscale - logical Should row/col indices on output be remapped +! colscale - logical from MIN:MAX to 1:(MAX-MIN+1) ? +! default is .FALSE. +! (commmon use is ROWSCALE=.TRUE., COLSCALE=.FALSE.) +! data - integer Which index list in desc_a should be used to retrieve +! rows, default psb_comm_halo_ +! psb_comm_halo_ use halo_index +! psb_comm_ext_ use ext_index +! psb_comm_ovrl_ DISABLED for this routine. +! +Subroutine psb_ld_remote_mat(a,desc_a,b,info) + use psb_base_mod, psb_protect_name => psb_ld_remote_mat + +#ifdef MPI_MOD + use mpi +#endif + Implicit None +#ifdef MPI_H + include 'mpif.h' +#endif + + Type(psb_ld_coo_sparse_mat),Intent(inout) :: a + Type(psb_ld_coo_sparse_mat),Intent(inout) :: b + Type(psb_desc_type), Intent(inout) :: desc_a + integer(psb_ipk_), intent(out) :: info + + ! ...local scalars.... + type(psb_ctxt_type) :: ctxt + integer(psb_ipk_) :: np,me + integer(psb_ipk_) :: counter, proc, i, n_el_send,n_el_recv, & + & n_elem, j, ipx,mat_recv, idxs,idxr,& + & data_,totxch,nxs, nxr, ncg + integer(psb_lpk_) :: r, k, irmin, irmax, icmin, icmax, iszs, iszr, & + & lidx, l1, lnr, lnc, lnnz, idx, ngtz, tot_elem + integer(psb_lpk_) :: nz,nouth + integer(psb_ipk_) :: nnp, nrcvs, nsnds + integer(psb_mpk_) :: icomm, minfo + integer(psb_mpk_), allocatable :: brvindx(:), & + & rvsz(:), bsdindx(:),sdsz(:) + integer(psb_lpk_), allocatable :: iasnd(:), jasnd(:) + real(psb_dpk_), allocatable :: valsnd(:) + type(psb_ld_coo_sparse_mat), allocatable :: acoo + integer(psb_ipk_), pointer :: idxv(:) + class(psb_i_base_vect_type), pointer :: pdxv + integer(psb_ipk_), allocatable :: ipdxv(:), ladj(:), ila(:), iprc(:) + logical :: rowcnv_,colcnv_,rowscale_,colscale_ + character(len=5) :: outfmt_ + integer(psb_ipk_) :: debug_level, debug_unit, err_act + character(len=20) :: name, ch_err + + info=psb_success_ + name='psb_dsphalo' + call psb_erractionsave(err_act) + if (psb_errstatus_fatal()) then + info = psb_err_internal_error_ ; goto 9999 + end if + debug_unit = psb_get_debug_unit() + debug_level = psb_get_debug_level() + + ctxt = desc_a%get_context() + icomm = desc_a%get_mpic() + + Call psb_info(ctxt, me, np) + + if (debug_level >= psb_debug_outer_) & + & write(debug_unit,*) me,' ',trim(name),': Start' + + + call b%free() + + Allocate(brvindx(np+1),& + & rvsz(np),sdsz(np),bsdindx(np+1), acoo,stat=info) + + if (info /= psb_success_) then + info=psb_err_alloc_dealloc_ + call psb_errpush(info,name) + goto 9999 + end if + + + nz = a%get_nzeros() + allocate(ila(nz)) + write(0,*) me,name,' size :',nz,size(ila) + call desc_a%g2l(a%ia(1:nz),ila(1:nz),info,owned=.false.) + nouth = count(ila(1:nz)<0) + write(0,*) me,name,' Count out of halo :',nouth + call psb_max(ctxt,nouth) + if ((nouth/=0).and.(me==0)) & + & write(0,*) 'Warning: would require reinit of DESC_A' + + call psi_graph_fnd_owner(a%ia(1:nz),iprc,ladj,desc_a%indxmap,info) + call psb_msort_unique(ladj,nnp) + write(0,*) me,name,' Processes:',ladj(1:nnp) + + icomm = desc_a%get_mpic() + Allocate(brvindx(np+1),& + & rvsz(np),sdsz(np),bsdindx(np+1), stat=info) + sdsz(:)=0 + rvsz(:)=0 + ipx = 1 + brvindx(ipx) = 0 + bsdindx(ipx) = 0 + counter=1 + idx = 0 + idxs = 0 + idxr = 0 + do i=1,nz + if (iprc(i) >=0) then + sdsz(iprc(i)+1) = sdsz(iprc(i)+1) +1 + else + write(0,*)me,name,' Error from fnd_owner: ',iprc(i) + end if + end do + call mpi_alltoall(sdsz,1,psb_mpi_mpk_,& + & rvsz,1,psb_mpi_mpk_,icomm,minfo) + if (minfo /= psb_success_) then + info=psb_err_from_subroutine_ + call psb_errpush(info,name,a_err='mpi_alltoall') + goto 9999 + end if + write(0,*)me,name,' sdsz ',sdsz(:),' rvsz:',rvsz(:) + nsnds = count(sdsz /= 0) + nrcvs = count(rvsz /= 0) + idxs = 0 + idxr = 0 + counter = 1 + + + + + lnnz = max(iszr,iszs,lone) + lnc = a%get_ncols() + call acoo%allocate(lnr,lnc,lnnz) + if (debug_level >= psb_debug_outer_)& + & write(debug_unit,*) me,' ',trim(name),': Sizes:',acoo%get_size(),& + & ' Send:',sdsz(:),' Receive:',rvsz(:) + + if (info == psb_success_) call psb_ensure_size(max(iszs,1),iasnd,info) + if (info == psb_success_) call psb_ensure_size(max(iszs,1),jasnd,info) + if (info == psb_success_) call psb_ensure_size(max(iszs,1),valsnd,info) + if (info /= psb_success_) then + info=psb_err_from_subroutine_ + call psb_errpush(info,name,a_err='ensure_size') + goto 9999 + end if + + select case(psb_get_sp_a2av_alg()) + case(psb_sp_a2av_smpl_triad_) + call psb_simple_triad_a2av(valsnd,iasnd,jasnd,sdsz,bsdindx,& + & acoo%val,acoo%ia,acoo%ja,rvsz,brvindx,ctxt,info) + case(psb_sp_a2av_smpl_v_) + call psb_simple_a2av(valsnd,sdsz,bsdindx,& + & acoo%val,rvsz,brvindx,ctxt,info) + if (info == psb_success_) call psb_simple_a2av(iasnd,sdsz,bsdindx,& + & acoo%ia,rvsz,brvindx,ctxt,info) + if (info == psb_success_) call psb_simple_a2av(jasnd,sdsz,bsdindx,& + & acoo%ja,rvsz,brvindx,ctxt,info) + case(psb_sp_a2av_mpi_) + + call mpi_alltoallv(valsnd,sdsz,bsdindx,psb_mpi_r_dpk_,& + & acoo%val,rvsz,brvindx,psb_mpi_r_dpk_,icomm,minfo) + if (minfo == mpi_success) & + & call mpi_alltoallv(iasnd,sdsz,bsdindx,psb_mpi_lpk_,& + & acoo%ia,rvsz,brvindx,psb_mpi_lpk_,icomm,minfo) + if (minfo == mpi_success) & + & call mpi_alltoallv(jasnd,sdsz,bsdindx,psb_mpi_lpk_,& + & acoo%ja,rvsz,brvindx,psb_mpi_lpk_,icomm,minfo) + if (minfo /= mpi_success) info = minfo + case default + info = psb_err_internal_error_ + call psb_errpush(info,name,a_err='wrong A2AV alg selector') + goto 9999 + end select + + if (info /= psb_success_) then + info=psb_err_from_subroutine_ + call psb_errpush(info,name,a_err='alltoallv') + goto 9999 + end if + + call acoo%mv_to_coo(b,info) + + + Deallocate(brvindx,bsdindx,rvsz,sdsz,& + & iasnd,jasnd,valsnd,stat=info) + if (debug_level >= psb_debug_outer_)& + & write(debug_unit,*) me,' ',trim(name),': Done' + + call psb_erractionrestore(err_act) + return + +9999 call psb_error_handler(ctxt,err_act) + + return + +End Subroutine psb_ld_remote_mat + diff --git a/base/tools/psb_dspalloc.f90 b/base/tools/psb_dspalloc.f90 index 088d5129..3d945274 100644 --- a/base/tools/psb_dspalloc.f90 +++ b/base/tools/psb_dspalloc.f90 @@ -124,7 +124,7 @@ subroutine psb_dspalloc(a, desc_a, info, nnz, bldmode) write(0,*) name,' matbld_noremote_ nothing needed' case (psb_matbld_remote_) write(0,*) name,' matbld_remote_ start ' - allocate(psb_ld_coo_sparse_mat :: a%rmta) + allocate(a%rmta) nnzrmt_ = max(100,(nnz_/100)) call a%rmta%allocate(m,n,nnzrmt_) diff --git a/base/tools/psb_dspasb.f90 b/base/tools/psb_dspasb.f90 index 14204ad9..bc66eb11 100644 --- a/base/tools/psb_dspasb.f90 +++ b/base/tools/psb_dspasb.f90 @@ -50,13 +50,14 @@ ! subroutine psb_dspasb(a,desc_a, info, afmt, upd, dupl, mold) use psb_base_mod, psb_protect_name => psb_dspasb + use psb_sort_mod use psi_mod implicit none !...Parameters.... type(psb_dspmat_type), intent (inout) :: a - type(psb_desc_type), intent(in) :: desc_a + type(psb_desc_type), intent(inout) :: desc_a integer(psb_ipk_), intent(out) :: info integer(psb_ipk_),optional, intent(in) :: dupl, upd character(len=*), optional, intent(in) :: afmt @@ -117,7 +118,14 @@ subroutine psb_dspasb(a,desc_a, info, afmt, upd, dupl, mold) case (psb_matbld_noremote_) ! nothing needed case (psb_matbld_remote_) - write(0,*) me,' Size of rmta:',a%rmta%get_nzeros() + write(0,*) me,name,' Size of rmta:',a%rmta%get_nzeros() + block + type(psb_ld_coo_sparse_mat) :: a_add + + call psb_remote_mat(a%rmta,desc_a,a_add,info) + + end block + end select call a%cscnv(info,type=afmt,dupl=dupl, mold=mold) diff --git a/base/tools/psb_dspins.F90 b/base/tools/psb_dspins.F90 index ac074487..06276fa8 100644 --- a/base/tools/psb_dspins.F90 +++ b/base/tools/psb_dspins.F90 @@ -156,10 +156,9 @@ subroutine psb_dspins(nz,ia,ja,val,a,desc_a,info,rebuild,local) case (psb_matbld_noremote_) ! Do nothing case (psb_matbld_remote_) - nnl = count(ila(1:nz)<0) if (nnl > 0) then - write(0,*) 'Check on insert ',nnl + !write(0,*) 'Check on insert ',nnl allocate(lila(nnl),ljla(nnl),lval(nnl)) k = 0 do i=1,nz @@ -199,8 +198,9 @@ subroutine psb_dspins(nz,ia,ja,val,a,desc_a,info,rebuild,local) ila(1:nz) = ia(1:nz) jla(1:nz) = ja(1:nz) else - call desc_a%indxmap%g2l(ia(1:nz),ila(1:nz),info) - if (info == 0) call desc_a%indxmap%g2l(ja(1:nz),jla(1:nz),info) + call desc_a%indxmap%g2l(ia(1:nz),ila(1:nz),info,owned=.true.) + if (info == 0) call desc_a%indxmap%g2l(ja(1:nz),jla(1:nz),info,& + & mask=(ila(1:nz)>0)) end if call a%csput(nz,ila,jla,val,ione,nrow,ione,ncol,info) if (info /= psb_success_) then @@ -208,6 +208,31 @@ subroutine psb_dspins(nz,ia,ja,val,a,desc_a,info,rebuild,local) call psb_errpush(info,name,a_err='a%csput') goto 9999 end if + select case(a%remote_build) + case (psb_matbld_noremote_) + ! Do nothing + case (psb_matbld_remote_) + nnl = count(ila(1:nz)<0) + if (nnl > 0) then + !write(0,*) 'Check on insert ',nnl + allocate(lila(nnl),ljla(nnl),lval(nnl)) + k = 0 + do i=1,nz + if (ila(i)<0) then + k=k+1 + lila(k) = ia(k) + ljla(k) = ja(k) + lval(k) = val(k) + end if + end do + if (k /= nnl) write(0,*) name,' Wrong conversion?',k,nnl + call a%rmta%csput(nnl,lila,ljla,lval,1_psb_lpk_,desc_a%get_global_rows(),& + & 1_psb_lpk_,desc_a%get_global_rows(),info) + end if + case default + write(0,*) name,' Ignoring wrong value for %remote_build' + end select + else info = psb_err_invalid_cd_state_ call psb_errpush(info,name) diff --git a/base/tools/psb_s_remote_mat.F90 b/base/tools/psb_s_remote_mat.F90 new file mode 100644 index 00000000..0a78d2b6 --- /dev/null +++ b/base/tools/psb_s_remote_mat.F90 @@ -0,0 +1,259 @@ +! +! Parallel Sparse BLAS version 3.5 +! (C) Copyright 2006-2018 +! Salvatore Filippone +! Alfredo Buttari +! +! Redistribution and use in source and binary forms, with or without +! modification, are permitted provided that the following conditions +! are met: +! 1. Redistributions of source code must retain the above copyright +! notice, this list of conditions and the following disclaimer. +! 2. Redistributions in binary form must reproduce the above copyright +! notice, this list of conditions, and the following disclaimer in the +! documentation and/or other materials provided with the distribution. +! 3. The name of the PSBLAS group or the names of its contributors may +! not be used to endorse or promote products derived from this +! software without specific written permission. +! +! THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +! ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED +! TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR +! PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE PSBLAS GROUP OR ITS CONTRIBUTORS +! BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR +! CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF +! SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS +! INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN +! CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) +! ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +! POSSIBILITY OF SUCH DAMAGE. +! +! +! File: psb_ssphalo.f90 +! +! Subroutine: psb_ssphalo psb_lssphalo +! This routine does the retrieval of remote matrix rows. +! Retrieval is done through GETROW, therefore it should work +! for any matrix format in A; as for the output, default is CSR. +! +! There is also a specialized version ls_CSR whose interface +! is adapted for the needs of s_par_csr_spspmm. +! +! There are three possible exchange algorithms: +! 1. Use MPI_Alltoallv +! 2. Use psb_simple_a2av +! 3. Use psb_simple_triad_a2av +! Default choice is 3. The MPI variant has proved to be inefficient; +! that is because it is not persistent, therefore you pay the initialization price +! every time, and it is not optimized for a sparse communication pattern, +! most MPI implementations assume that all communications are non-empty. +! The PSB_SIMPLE variants reuse the same communicator, and go for a simplistic +! sequence of sends/receive that is quite efficient for a sparse communication +! pattern. To be refined/reviewed in the future to compare with neighbour +! persistent collectives. +! +! Arguments: +! a - type(psb_sspmat_type) The local part of input matrix A +! desc_a - type(psb_desc_type). The communication descriptor. +! blck - type(psb_sspmat_type) The local part of output matrix BLCK +! info - integer. Return code +! rowcnv - logical Should row/col indices be converted +! colcnv - logical to/from global numbering when sent/received? +! default is .TRUE. +! rowscale - logical Should row/col indices on output be remapped +! colscale - logical from MIN:MAX to 1:(MAX-MIN+1) ? +! default is .FALSE. +! (commmon use is ROWSCALE=.TRUE., COLSCALE=.FALSE.) +! data - integer Which index list in desc_a should be used to retrieve +! rows, default psb_comm_halo_ +! psb_comm_halo_ use halo_index +! psb_comm_ext_ use ext_index +! psb_comm_ovrl_ DISABLED for this routine. +! +Subroutine psb_ls_remote_mat(a,desc_a,b,info) + use psb_base_mod, psb_protect_name => psb_ls_remote_mat + +#ifdef MPI_MOD + use mpi +#endif + Implicit None +#ifdef MPI_H + include 'mpif.h' +#endif + + Type(psb_ls_coo_sparse_mat),Intent(inout) :: a + Type(psb_ls_coo_sparse_mat),Intent(inout) :: b + Type(psb_desc_type), Intent(inout) :: desc_a + integer(psb_ipk_), intent(out) :: info + + ! ...local scalars.... + type(psb_ctxt_type) :: ctxt + integer(psb_ipk_) :: np,me + integer(psb_ipk_) :: counter, proc, i, n_el_send,n_el_recv, & + & n_elem, j, ipx,mat_recv, idxs,idxr,& + & data_,totxch,nxs, nxr, ncg + integer(psb_lpk_) :: r, k, irmin, irmax, icmin, icmax, iszs, iszr, & + & lidx, l1, lnr, lnc, lnnz, idx, ngtz, tot_elem + integer(psb_lpk_) :: nz,nouth + integer(psb_ipk_) :: nnp, nrcvs, nsnds + integer(psb_mpk_) :: icomm, minfo + integer(psb_mpk_), allocatable :: brvindx(:), & + & rvsz(:), bsdindx(:),sdsz(:) + integer(psb_lpk_), allocatable :: iasnd(:), jasnd(:) + real(psb_spk_), allocatable :: valsnd(:) + type(psb_ls_coo_sparse_mat), allocatable :: acoo + integer(psb_ipk_), pointer :: idxv(:) + class(psb_i_base_vect_type), pointer :: pdxv + integer(psb_ipk_), allocatable :: ipdxv(:), ladj(:), ila(:), iprc(:) + logical :: rowcnv_,colcnv_,rowscale_,colscale_ + character(len=5) :: outfmt_ + integer(psb_ipk_) :: debug_level, debug_unit, err_act + character(len=20) :: name, ch_err + + info=psb_success_ + name='psb_ssphalo' + call psb_erractionsave(err_act) + if (psb_errstatus_fatal()) then + info = psb_err_internal_error_ ; goto 9999 + end if + debug_unit = psb_get_debug_unit() + debug_level = psb_get_debug_level() + + ctxt = desc_a%get_context() + icomm = desc_a%get_mpic() + + Call psb_info(ctxt, me, np) + + if (debug_level >= psb_debug_outer_) & + & write(debug_unit,*) me,' ',trim(name),': Start' + + + call b%free() + + Allocate(brvindx(np+1),& + & rvsz(np),sdsz(np),bsdindx(np+1), acoo,stat=info) + + if (info /= psb_success_) then + info=psb_err_alloc_dealloc_ + call psb_errpush(info,name) + goto 9999 + end if + + + nz = a%get_nzeros() + allocate(ila(nz)) + write(0,*) me,name,' size :',nz,size(ila) + call desc_a%g2l(a%ia(1:nz),ila(1:nz),info,owned=.false.) + nouth = count(ila(1:nz)<0) + write(0,*) me,name,' Count out of halo :',nouth + call psb_max(ctxt,nouth) + if ((nouth/=0).and.(me==0)) & + & write(0,*) 'Warning: would require reinit of DESC_A' + + call psi_graph_fnd_owner(a%ia(1:nz),iprc,ladj,desc_a%indxmap,info) + call psb_msort_unique(ladj,nnp) + write(0,*) me,name,' Processes:',ladj(1:nnp) + + icomm = desc_a%get_mpic() + Allocate(brvindx(np+1),& + & rvsz(np),sdsz(np),bsdindx(np+1), stat=info) + sdsz(:)=0 + rvsz(:)=0 + ipx = 1 + brvindx(ipx) = 0 + bsdindx(ipx) = 0 + counter=1 + idx = 0 + idxs = 0 + idxr = 0 + do i=1,nz + if (iprc(i) >=0) then + sdsz(iprc(i)+1) = sdsz(iprc(i)+1) +1 + else + write(0,*)me,name,' Error from fnd_owner: ',iprc(i) + end if + end do + call mpi_alltoall(sdsz,1,psb_mpi_mpk_,& + & rvsz,1,psb_mpi_mpk_,icomm,minfo) + if (minfo /= psb_success_) then + info=psb_err_from_subroutine_ + call psb_errpush(info,name,a_err='mpi_alltoall') + goto 9999 + end if + write(0,*)me,name,' sdsz ',sdsz(:),' rvsz:',rvsz(:) + nsnds = count(sdsz /= 0) + nrcvs = count(rvsz /= 0) + idxs = 0 + idxr = 0 + counter = 1 + + + + + lnnz = max(iszr,iszs,lone) + lnc = a%get_ncols() + call acoo%allocate(lnr,lnc,lnnz) + if (debug_level >= psb_debug_outer_)& + & write(debug_unit,*) me,' ',trim(name),': Sizes:',acoo%get_size(),& + & ' Send:',sdsz(:),' Receive:',rvsz(:) + + if (info == psb_success_) call psb_ensure_size(max(iszs,1),iasnd,info) + if (info == psb_success_) call psb_ensure_size(max(iszs,1),jasnd,info) + if (info == psb_success_) call psb_ensure_size(max(iszs,1),valsnd,info) + if (info /= psb_success_) then + info=psb_err_from_subroutine_ + call psb_errpush(info,name,a_err='ensure_size') + goto 9999 + end if + + select case(psb_get_sp_a2av_alg()) + case(psb_sp_a2av_smpl_triad_) + call psb_simple_triad_a2av(valsnd,iasnd,jasnd,sdsz,bsdindx,& + & acoo%val,acoo%ia,acoo%ja,rvsz,brvindx,ctxt,info) + case(psb_sp_a2av_smpl_v_) + call psb_simple_a2av(valsnd,sdsz,bsdindx,& + & acoo%val,rvsz,brvindx,ctxt,info) + if (info == psb_success_) call psb_simple_a2av(iasnd,sdsz,bsdindx,& + & acoo%ia,rvsz,brvindx,ctxt,info) + if (info == psb_success_) call psb_simple_a2av(jasnd,sdsz,bsdindx,& + & acoo%ja,rvsz,brvindx,ctxt,info) + case(psb_sp_a2av_mpi_) + + call mpi_alltoallv(valsnd,sdsz,bsdindx,psb_mpi_r_spk_,& + & acoo%val,rvsz,brvindx,psb_mpi_r_spk_,icomm,minfo) + if (minfo == mpi_success) & + & call mpi_alltoallv(iasnd,sdsz,bsdindx,psb_mpi_lpk_,& + & acoo%ia,rvsz,brvindx,psb_mpi_lpk_,icomm,minfo) + if (minfo == mpi_success) & + & call mpi_alltoallv(jasnd,sdsz,bsdindx,psb_mpi_lpk_,& + & acoo%ja,rvsz,brvindx,psb_mpi_lpk_,icomm,minfo) + if (minfo /= mpi_success) info = minfo + case default + info = psb_err_internal_error_ + call psb_errpush(info,name,a_err='wrong A2AV alg selector') + goto 9999 + end select + + if (info /= psb_success_) then + info=psb_err_from_subroutine_ + call psb_errpush(info,name,a_err='alltoallv') + goto 9999 + end if + + call acoo%mv_to_coo(b,info) + + + Deallocate(brvindx,bsdindx,rvsz,sdsz,& + & iasnd,jasnd,valsnd,stat=info) + if (debug_level >= psb_debug_outer_)& + & write(debug_unit,*) me,' ',trim(name),': Done' + + call psb_erractionrestore(err_act) + return + +9999 call psb_error_handler(ctxt,err_act) + + return + +End Subroutine psb_ls_remote_mat + diff --git a/base/tools/psb_sspalloc.f90 b/base/tools/psb_sspalloc.f90 index 1a418f2a..2d79b0ba 100644 --- a/base/tools/psb_sspalloc.f90 +++ b/base/tools/psb_sspalloc.f90 @@ -124,7 +124,7 @@ subroutine psb_sspalloc(a, desc_a, info, nnz, bldmode) write(0,*) name,' matbld_noremote_ nothing needed' case (psb_matbld_remote_) write(0,*) name,' matbld_remote_ start ' - allocate(psb_ls_coo_sparse_mat :: a%rmta) + allocate(a%rmta) nnzrmt_ = max(100,(nnz_/100)) call a%rmta%allocate(m,n,nnzrmt_) diff --git a/base/tools/psb_sspasb.f90 b/base/tools/psb_sspasb.f90 index 4c019622..fa9a2a49 100644 --- a/base/tools/psb_sspasb.f90 +++ b/base/tools/psb_sspasb.f90 @@ -50,13 +50,14 @@ ! subroutine psb_sspasb(a,desc_a, info, afmt, upd, dupl, mold) use psb_base_mod, psb_protect_name => psb_sspasb + use psb_sort_mod use psi_mod implicit none !...Parameters.... type(psb_sspmat_type), intent (inout) :: a - type(psb_desc_type), intent(in) :: desc_a + type(psb_desc_type), intent(inout) :: desc_a integer(psb_ipk_), intent(out) :: info integer(psb_ipk_),optional, intent(in) :: dupl, upd character(len=*), optional, intent(in) :: afmt @@ -117,7 +118,14 @@ subroutine psb_sspasb(a,desc_a, info, afmt, upd, dupl, mold) case (psb_matbld_noremote_) ! nothing needed case (psb_matbld_remote_) - write(0,*) me,' Size of rmta:',a%rmta%get_nzeros() + write(0,*) me,name,' Size of rmta:',a%rmta%get_nzeros() + block + type(psb_ls_coo_sparse_mat) :: a_add + + call psb_remote_mat(a%rmta,desc_a,a_add,info) + + end block + end select call a%cscnv(info,type=afmt,dupl=dupl, mold=mold) diff --git a/base/tools/psb_sspins.F90 b/base/tools/psb_sspins.F90 index f8971ce2..c4abb9f6 100644 --- a/base/tools/psb_sspins.F90 +++ b/base/tools/psb_sspins.F90 @@ -158,7 +158,7 @@ subroutine psb_sspins(nz,ia,ja,val,a,desc_a,info,rebuild,local) case (psb_matbld_remote_) nnl = count(ila(1:nz)<0) if (nnl > 0) then - write(0,*) 'Check on insert ',nnl + !write(0,*) 'Check on insert ',nnl allocate(lila(nnl),ljla(nnl),lval(nnl)) k = 0 do i=1,nz @@ -198,8 +198,9 @@ subroutine psb_sspins(nz,ia,ja,val,a,desc_a,info,rebuild,local) ila(1:nz) = ia(1:nz) jla(1:nz) = ja(1:nz) else - call desc_a%indxmap%g2l(ia(1:nz),ila(1:nz),info) - if (info == 0) call desc_a%indxmap%g2l(ja(1:nz),jla(1:nz),info) + call desc_a%indxmap%g2l(ia(1:nz),ila(1:nz),info,owned=.true.) + if (info == 0) call desc_a%indxmap%g2l(ja(1:nz),jla(1:nz),info,& + & mask=(ila(1:nz)>0)) end if call a%csput(nz,ila,jla,val,ione,nrow,ione,ncol,info) if (info /= psb_success_) then @@ -207,6 +208,31 @@ subroutine psb_sspins(nz,ia,ja,val,a,desc_a,info,rebuild,local) call psb_errpush(info,name,a_err='a%csput') goto 9999 end if + select case(a%remote_build) + case (psb_matbld_noremote_) + ! Do nothing + case (psb_matbld_remote_) + nnl = count(ila(1:nz)<0) + if (nnl > 0) then + !write(0,*) 'Check on insert ',nnl + allocate(lila(nnl),ljla(nnl),lval(nnl)) + k = 0 + do i=1,nz + if (ila(i)<0) then + k=k+1 + lila(k) = ia(k) + ljla(k) = ja(k) + lval(k) = val(k) + end if + end do + if (k /= nnl) write(0,*) name,' Wrong conversion?',k,nnl + call a%rmta%csput(nnl,lila,ljla,lval,1_psb_lpk_,desc_a%get_global_rows(),& + & 1_psb_lpk_,desc_a%get_global_rows(),info) + end if + case default + write(0,*) name,' Ignoring wrong value for %remote_build' + end select + else info = psb_err_invalid_cd_state_ call psb_errpush(info,name) diff --git a/base/tools/psb_z_remote_mat.F90 b/base/tools/psb_z_remote_mat.F90 new file mode 100644 index 00000000..1acc57b2 --- /dev/null +++ b/base/tools/psb_z_remote_mat.F90 @@ -0,0 +1,259 @@ +! +! Parallel Sparse BLAS version 3.5 +! (C) Copyright 2006-2018 +! Salvatore Filippone +! Alfredo Buttari +! +! Redistribution and use in source and binary forms, with or without +! modification, are permitted provided that the following conditions +! are met: +! 1. Redistributions of source code must retain the above copyright +! notice, this list of conditions and the following disclaimer. +! 2. Redistributions in binary form must reproduce the above copyright +! notice, this list of conditions, and the following disclaimer in the +! documentation and/or other materials provided with the distribution. +! 3. The name of the PSBLAS group or the names of its contributors may +! not be used to endorse or promote products derived from this +! software without specific written permission. +! +! THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +! ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED +! TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR +! PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE PSBLAS GROUP OR ITS CONTRIBUTORS +! BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR +! CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF +! SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS +! INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN +! CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) +! ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +! POSSIBILITY OF SUCH DAMAGE. +! +! +! File: psb_zsphalo.f90 +! +! Subroutine: psb_zsphalo psb_lzsphalo +! This routine does the retrieval of remote matrix rows. +! Retrieval is done through GETROW, therefore it should work +! for any matrix format in A; as for the output, default is CSR. +! +! There is also a specialized version lz_CSR whose interface +! is adapted for the needs of z_par_csr_spspmm. +! +! There are three possible exchange algorithms: +! 1. Use MPI_Alltoallv +! 2. Use psb_simple_a2av +! 3. Use psb_simple_triad_a2av +! Default choice is 3. The MPI variant has proved to be inefficient; +! that is because it is not persistent, therefore you pay the initialization price +! every time, and it is not optimized for a sparse communication pattern, +! most MPI implementations assume that all communications are non-empty. +! The PSB_SIMPLE variants reuse the same communicator, and go for a simplistic +! sequence of sends/receive that is quite efficient for a sparse communication +! pattern. To be refined/reviewed in the future to compare with neighbour +! persistent collectives. +! +! Arguments: +! a - type(psb_zspmat_type) The local part of input matrix A +! desc_a - type(psb_desc_type). The communication descriptor. +! blck - type(psb_zspmat_type) The local part of output matrix BLCK +! info - integer. Return code +! rowcnv - logical Should row/col indices be converted +! colcnv - logical to/from global numbering when sent/received? +! default is .TRUE. +! rowscale - logical Should row/col indices on output be remapped +! colscale - logical from MIN:MAX to 1:(MAX-MIN+1) ? +! default is .FALSE. +! (commmon use is ROWSCALE=.TRUE., COLSCALE=.FALSE.) +! data - integer Which index list in desc_a should be used to retrieve +! rows, default psb_comm_halo_ +! psb_comm_halo_ use halo_index +! psb_comm_ext_ use ext_index +! psb_comm_ovrl_ DISABLED for this routine. +! +Subroutine psb_lz_remote_mat(a,desc_a,b,info) + use psb_base_mod, psb_protect_name => psb_lz_remote_mat + +#ifdef MPI_MOD + use mpi +#endif + Implicit None +#ifdef MPI_H + include 'mpif.h' +#endif + + Type(psb_lz_coo_sparse_mat),Intent(inout) :: a + Type(psb_lz_coo_sparse_mat),Intent(inout) :: b + Type(psb_desc_type), Intent(inout) :: desc_a + integer(psb_ipk_), intent(out) :: info + + ! ...local scalars.... + type(psb_ctxt_type) :: ctxt + integer(psb_ipk_) :: np,me + integer(psb_ipk_) :: counter, proc, i, n_el_send,n_el_recv, & + & n_elem, j, ipx,mat_recv, idxs,idxr,& + & data_,totxch,nxs, nxr, ncg + integer(psb_lpk_) :: r, k, irmin, irmax, icmin, icmax, iszs, iszr, & + & lidx, l1, lnr, lnc, lnnz, idx, ngtz, tot_elem + integer(psb_lpk_) :: nz,nouth + integer(psb_ipk_) :: nnp, nrcvs, nsnds + integer(psb_mpk_) :: icomm, minfo + integer(psb_mpk_), allocatable :: brvindx(:), & + & rvsz(:), bsdindx(:),sdsz(:) + integer(psb_lpk_), allocatable :: iasnd(:), jasnd(:) + complex(psb_dpk_), allocatable :: valsnd(:) + type(psb_lz_coo_sparse_mat), allocatable :: acoo + integer(psb_ipk_), pointer :: idxv(:) + class(psb_i_base_vect_type), pointer :: pdxv + integer(psb_ipk_), allocatable :: ipdxv(:), ladj(:), ila(:), iprc(:) + logical :: rowcnv_,colcnv_,rowscale_,colscale_ + character(len=5) :: outfmt_ + integer(psb_ipk_) :: debug_level, debug_unit, err_act + character(len=20) :: name, ch_err + + info=psb_success_ + name='psb_zsphalo' + call psb_erractionsave(err_act) + if (psb_errstatus_fatal()) then + info = psb_err_internal_error_ ; goto 9999 + end if + debug_unit = psb_get_debug_unit() + debug_level = psb_get_debug_level() + + ctxt = desc_a%get_context() + icomm = desc_a%get_mpic() + + Call psb_info(ctxt, me, np) + + if (debug_level >= psb_debug_outer_) & + & write(debug_unit,*) me,' ',trim(name),': Start' + + + call b%free() + + Allocate(brvindx(np+1),& + & rvsz(np),sdsz(np),bsdindx(np+1), acoo,stat=info) + + if (info /= psb_success_) then + info=psb_err_alloc_dealloc_ + call psb_errpush(info,name) + goto 9999 + end if + + + nz = a%get_nzeros() + allocate(ila(nz)) + write(0,*) me,name,' size :',nz,size(ila) + call desc_a%g2l(a%ia(1:nz),ila(1:nz),info,owned=.false.) + nouth = count(ila(1:nz)<0) + write(0,*) me,name,' Count out of halo :',nouth + call psb_max(ctxt,nouth) + if ((nouth/=0).and.(me==0)) & + & write(0,*) 'Warning: would require reinit of DESC_A' + + call psi_graph_fnd_owner(a%ia(1:nz),iprc,ladj,desc_a%indxmap,info) + call psb_msort_unique(ladj,nnp) + write(0,*) me,name,' Processes:',ladj(1:nnp) + + icomm = desc_a%get_mpic() + Allocate(brvindx(np+1),& + & rvsz(np),sdsz(np),bsdindx(np+1), stat=info) + sdsz(:)=0 + rvsz(:)=0 + ipx = 1 + brvindx(ipx) = 0 + bsdindx(ipx) = 0 + counter=1 + idx = 0 + idxs = 0 + idxr = 0 + do i=1,nz + if (iprc(i) >=0) then + sdsz(iprc(i)+1) = sdsz(iprc(i)+1) +1 + else + write(0,*)me,name,' Error from fnd_owner: ',iprc(i) + end if + end do + call mpi_alltoall(sdsz,1,psb_mpi_mpk_,& + & rvsz,1,psb_mpi_mpk_,icomm,minfo) + if (minfo /= psb_success_) then + info=psb_err_from_subroutine_ + call psb_errpush(info,name,a_err='mpi_alltoall') + goto 9999 + end if + write(0,*)me,name,' sdsz ',sdsz(:),' rvsz:',rvsz(:) + nsnds = count(sdsz /= 0) + nrcvs = count(rvsz /= 0) + idxs = 0 + idxr = 0 + counter = 1 + + + + + lnnz = max(iszr,iszs,lone) + lnc = a%get_ncols() + call acoo%allocate(lnr,lnc,lnnz) + if (debug_level >= psb_debug_outer_)& + & write(debug_unit,*) me,' ',trim(name),': Sizes:',acoo%get_size(),& + & ' Send:',sdsz(:),' Receive:',rvsz(:) + + if (info == psb_success_) call psb_ensure_size(max(iszs,1),iasnd,info) + if (info == psb_success_) call psb_ensure_size(max(iszs,1),jasnd,info) + if (info == psb_success_) call psb_ensure_size(max(iszs,1),valsnd,info) + if (info /= psb_success_) then + info=psb_err_from_subroutine_ + call psb_errpush(info,name,a_err='ensure_size') + goto 9999 + end if + + select case(psb_get_sp_a2av_alg()) + case(psb_sp_a2av_smpl_triad_) + call psb_simple_triad_a2av(valsnd,iasnd,jasnd,sdsz,bsdindx,& + & acoo%val,acoo%ia,acoo%ja,rvsz,brvindx,ctxt,info) + case(psb_sp_a2av_smpl_v_) + call psb_simple_a2av(valsnd,sdsz,bsdindx,& + & acoo%val,rvsz,brvindx,ctxt,info) + if (info == psb_success_) call psb_simple_a2av(iasnd,sdsz,bsdindx,& + & acoo%ia,rvsz,brvindx,ctxt,info) + if (info == psb_success_) call psb_simple_a2av(jasnd,sdsz,bsdindx,& + & acoo%ja,rvsz,brvindx,ctxt,info) + case(psb_sp_a2av_mpi_) + + call mpi_alltoallv(valsnd,sdsz,bsdindx,psb_mpi_c_dpk_,& + & acoo%val,rvsz,brvindx,psb_mpi_c_dpk_,icomm,minfo) + if (minfo == mpi_success) & + & call mpi_alltoallv(iasnd,sdsz,bsdindx,psb_mpi_lpk_,& + & acoo%ia,rvsz,brvindx,psb_mpi_lpk_,icomm,minfo) + if (minfo == mpi_success) & + & call mpi_alltoallv(jasnd,sdsz,bsdindx,psb_mpi_lpk_,& + & acoo%ja,rvsz,brvindx,psb_mpi_lpk_,icomm,minfo) + if (minfo /= mpi_success) info = minfo + case default + info = psb_err_internal_error_ + call psb_errpush(info,name,a_err='wrong A2AV alg selector') + goto 9999 + end select + + if (info /= psb_success_) then + info=psb_err_from_subroutine_ + call psb_errpush(info,name,a_err='alltoallv') + goto 9999 + end if + + call acoo%mv_to_coo(b,info) + + + Deallocate(brvindx,bsdindx,rvsz,sdsz,& + & iasnd,jasnd,valsnd,stat=info) + if (debug_level >= psb_debug_outer_)& + & write(debug_unit,*) me,' ',trim(name),': Done' + + call psb_erractionrestore(err_act) + return + +9999 call psb_error_handler(ctxt,err_act) + + return + +End Subroutine psb_lz_remote_mat + diff --git a/base/tools/psb_zspalloc.f90 b/base/tools/psb_zspalloc.f90 index 6d95f179..1d76d66c 100644 --- a/base/tools/psb_zspalloc.f90 +++ b/base/tools/psb_zspalloc.f90 @@ -124,7 +124,7 @@ subroutine psb_zspalloc(a, desc_a, info, nnz, bldmode) write(0,*) name,' matbld_noremote_ nothing needed' case (psb_matbld_remote_) write(0,*) name,' matbld_remote_ start ' - allocate(psb_lz_coo_sparse_mat :: a%rmta) + allocate(a%rmta) nnzrmt_ = max(100,(nnz_/100)) call a%rmta%allocate(m,n,nnzrmt_) diff --git a/base/tools/psb_zspasb.f90 b/base/tools/psb_zspasb.f90 index 6c9fc76f..67353739 100644 --- a/base/tools/psb_zspasb.f90 +++ b/base/tools/psb_zspasb.f90 @@ -50,13 +50,14 @@ ! subroutine psb_zspasb(a,desc_a, info, afmt, upd, dupl, mold) use psb_base_mod, psb_protect_name => psb_zspasb + use psb_sort_mod use psi_mod implicit none !...Parameters.... type(psb_zspmat_type), intent (inout) :: a - type(psb_desc_type), intent(in) :: desc_a + type(psb_desc_type), intent(inout) :: desc_a integer(psb_ipk_), intent(out) :: info integer(psb_ipk_),optional, intent(in) :: dupl, upd character(len=*), optional, intent(in) :: afmt @@ -117,7 +118,14 @@ subroutine psb_zspasb(a,desc_a, info, afmt, upd, dupl, mold) case (psb_matbld_noremote_) ! nothing needed case (psb_matbld_remote_) - write(0,*) me,' Size of rmta:',a%rmta%get_nzeros() + write(0,*) me,name,' Size of rmta:',a%rmta%get_nzeros() + block + type(psb_lz_coo_sparse_mat) :: a_add + + call psb_remote_mat(a%rmta,desc_a,a_add,info) + + end block + end select call a%cscnv(info,type=afmt,dupl=dupl, mold=mold) diff --git a/base/tools/psb_zspins.F90 b/base/tools/psb_zspins.F90 index bfe61a17..2a654e14 100644 --- a/base/tools/psb_zspins.F90 +++ b/base/tools/psb_zspins.F90 @@ -158,7 +158,7 @@ subroutine psb_zspins(nz,ia,ja,val,a,desc_a,info,rebuild,local) case (psb_matbld_remote_) nnl = count(ila(1:nz)<0) if (nnl > 0) then - write(0,*) 'Check on insert ',nnl + !write(0,*) 'Check on insert ',nnl allocate(lila(nnl),ljla(nnl),lval(nnl)) k = 0 do i=1,nz @@ -198,8 +198,9 @@ subroutine psb_zspins(nz,ia,ja,val,a,desc_a,info,rebuild,local) ila(1:nz) = ia(1:nz) jla(1:nz) = ja(1:nz) else - call desc_a%indxmap%g2l(ia(1:nz),ila(1:nz),info) - if (info == 0) call desc_a%indxmap%g2l(ja(1:nz),jla(1:nz),info) + call desc_a%indxmap%g2l(ia(1:nz),ila(1:nz),info,owned=.true.) + if (info == 0) call desc_a%indxmap%g2l(ja(1:nz),jla(1:nz),info,& + & mask=(ila(1:nz)>0)) end if call a%csput(nz,ila,jla,val,ione,nrow,ione,ncol,info) if (info /= psb_success_) then @@ -207,6 +208,31 @@ subroutine psb_zspins(nz,ia,ja,val,a,desc_a,info,rebuild,local) call psb_errpush(info,name,a_err='a%csput') goto 9999 end if + select case(a%remote_build) + case (psb_matbld_noremote_) + ! Do nothing + case (psb_matbld_remote_) + nnl = count(ila(1:nz)<0) + if (nnl > 0) then + !write(0,*) 'Check on insert ',nnl + allocate(lila(nnl),ljla(nnl),lval(nnl)) + k = 0 + do i=1,nz + if (ila(i)<0) then + k=k+1 + lila(k) = ia(k) + ljla(k) = ja(k) + lval(k) = val(k) + end if + end do + if (k /= nnl) write(0,*) name,' Wrong conversion?',k,nnl + call a%rmta%csput(nnl,lila,ljla,lval,1_psb_lpk_,desc_a%get_global_rows(),& + & 1_psb_lpk_,desc_a%get_global_rows(),info) + end if + case default + write(0,*) name,' Ignoring wrong value for %remote_build' + end select + else info = psb_err_invalid_cd_state_ call psb_errpush(info,name) diff --git a/test/pargen/psb_d_pde3d.F90 b/test/pargen/psb_d_pde3d.F90 index bbef8645..483e6d9c 100644 --- a/test/pargen/psb_d_pde3d.F90 +++ b/test/pargen/psb_d_pde3d.F90 @@ -377,30 +377,7 @@ contains ! call psb_cdall(ctxt,desc_a,info,vl=myidx) - ! - ! Add extra rows - ! - block - integer(psb_ipk_) :: ks - mysz = nlr - if (m>nlr) mysz = mysz + m/nlr - call psb_realloc(mysz,myidx,info) - ks = nlr - outer: do i=1,idim - do j=1,idim - do k=1,idim - if (outside(i,j,k,bndx,bndy,bndz,iamx,iamy,iamz)) then - ks = ks + 1 - if (ks > mysz) exit outer - call ijk2idx(myidx(ks),i,j,k,idim,idim,idim) - end if - end do - end do - end do outer - write(0,*) iam,' Check on extra nodes ',nlr,mysz,':',myidx(nlr+1:mysz) - - end block - + ! ! Specify process topology ! @@ -487,9 +464,9 @@ contains call psb_barrier(ctxt) t1 = psb_wtime() - do ii=1, mysz, nb - !ib = min(nb,nlr-ii+1) - ib = min(nb,mysz-ii+1) + do ii=1, nlr, nb + ib = min(nb,nlr-ii+1) + !ib = min(nb,mysz-ii+1) icoeff = 1 do k=1,ib i=ii+k-1 @@ -585,12 +562,119 @@ contains goto 9999 end if - deallocate(val,irow,icol) call psb_barrier(ctxt) t1 = psb_wtime() call psb_cdasb(desc_a,info,mold=imold) tcdasb = psb_wtime()-t1 + + ! + ! Add extra rows + ! + block + integer(psb_ipk_) :: ks, i + ks = desc_a%get_local_cols()-desc_a%get_local_rows() + if (ks > 0) ks = max(1,ks / 10) + mysz = nlr+ks + call psb_realloc(mysz,myidx,info) + do i=nlr+1, mysz + myidx(i) = i + end do + call desc_a%l2gv1(myidx(nlr+1:mysz),info) + !write(0,*) iam,' Check on extra nodes ',nlr,mysz,':',myidx(nlr+1:mysz) + do ii= nlr+1, mysz, nb + ib = min(nb,mysz-ii+1) + icoeff = 1 + do k=1,ib + i=ii+k-1 + ! local matrix pointer + glob_row=myidx(i) + ! compute gridpoint coordinates + call idx2ijk(ix,iy,iz,glob_row,idim,idim,idim) + ! x, y, z coordinates + x = (ix-1)*deltah + y = (iy-1)*deltah + z = (iz-1)*deltah + zt(k) = f_(x,y,z) + ! internal point: build discretization + ! + ! term depending on (x-1,y,z) + ! + val(icoeff) = -a1(x,y,z)/sqdeltah-b1(x,y,z)/deltah2 + if (ix == 1) then + zt(k) = g(dzero,y,z)*(-val(icoeff)) + zt(k) + else + call ijk2idx(icol(icoeff),ix-1,iy,iz,idim,idim,idim) + irow(icoeff) = glob_row + icoeff = icoeff+1 + endif + ! term depending on (x,y-1,z) + val(icoeff) = -a2(x,y,z)/sqdeltah-b2(x,y,z)/deltah2 + if (iy == 1) then + zt(k) = g(x,dzero,z)*(-val(icoeff)) + zt(k) + else + call ijk2idx(icol(icoeff),ix,iy-1,iz,idim,idim,idim) + irow(icoeff) = glob_row + icoeff = icoeff+1 + endif + ! term depending on (x,y,z-1) + val(icoeff)=-a3(x,y,z)/sqdeltah-b3(x,y,z)/deltah2 + if (iz == 1) then + zt(k) = g(x,y,dzero)*(-val(icoeff)) + zt(k) + else + call ijk2idx(icol(icoeff),ix,iy,iz-1,idim,idim,idim) + irow(icoeff) = glob_row + icoeff = icoeff+1 + endif + + ! term depending on (x,y,z) + val(icoeff)=(2*done)*(a1(x,y,z)+a2(x,y,z)+a3(x,y,z))/sqdeltah & + & + c(x,y,z) + call ijk2idx(icol(icoeff),ix,iy,iz,idim,idim,idim) + irow(icoeff) = glob_row + icoeff = icoeff+1 + ! term depending on (x,y,z+1) + val(icoeff)=-a3(x,y,z)/sqdeltah+b3(x,y,z)/deltah2 + if (iz == idim) then + zt(k) = g(x,y,done)*(-val(icoeff)) + zt(k) + else + call ijk2idx(icol(icoeff),ix,iy,iz+1,idim,idim,idim) + irow(icoeff) = glob_row + icoeff = icoeff+1 + endif + ! term depending on (x,y+1,z) + val(icoeff)=-a2(x,y,z)/sqdeltah+b2(x,y,z)/deltah2 + if (iy == idim) then + zt(k) = g(x,done,z)*(-val(icoeff)) + zt(k) + else + call ijk2idx(icol(icoeff),ix,iy+1,iz,idim,idim,idim) + irow(icoeff) = glob_row + icoeff = icoeff+1 + endif + ! term depending on (x+1,y,z) + val(icoeff)=-a1(x,y,z)/sqdeltah+b1(x,y,z)/deltah2 + if (ix==idim) then + zt(k) = g(done,y,z)*(-val(icoeff)) + zt(k) + else + call ijk2idx(icol(icoeff),ix+1,iy,iz,idim,idim,idim) + irow(icoeff) = glob_row + icoeff = icoeff+1 + endif + + end do + call psb_spins(icoeff-1,irow,icol,val,a,desc_a,info) + if(info /= psb_success_) exit + call psb_geins(ib,myidx(ii:ii+ib-1),zt(1:ib),bv,desc_a,info) + if(info /= psb_success_) exit + zt(:)=dzero + call psb_geins(ib,myidx(ii:ii+ib-1),zt(1:ib),xv,desc_a,info) + if(info /= psb_success_) exit + end do + + end block + + + call psb_barrier(ctxt) t1 = psb_wtime() if (info == psb_success_) then @@ -634,6 +718,7 @@ contains write(psb_out_unit,'("-total time : ",es12.5)') ttot end if + deallocate(val,irow,icol) call psb_erractionrestore(err_act) return diff --git a/test/pargen/psb_s_pde3d.F90 b/test/pargen/psb_s_pde3d.F90 index a4788338..b27f8818 100644 --- a/test/pargen/psb_s_pde3d.F90 +++ b/test/pargen/psb_s_pde3d.F90 @@ -208,7 +208,7 @@ contains type(psb_s_coo_sparse_mat) :: acoo type(psb_s_csr_sparse_mat) :: acsr real(psb_spk_) :: zt(nb),x,y,z - integer(psb_ipk_) :: nnz,nr,nlr,i,j,ii,ib,k, partition_ + integer(psb_ipk_) :: nnz,nr,nlr,i,j,ii,ib,k, partition_, mysz integer(psb_lpk_) :: m,n,glob_row,nt integer(psb_ipk_) :: ix,iy,iz,ia,indx_owner ! For 3D partition @@ -377,6 +377,7 @@ contains ! call psb_cdall(ctxt,desc_a,info,vl=myidx) + ! ! Specify process topology ! @@ -463,8 +464,9 @@ contains call psb_barrier(ctxt) t1 = psb_wtime() - do ii=1, nlr,nb + do ii=1, nlr, nb ib = min(nb,nlr-ii+1) + !ib = min(nb,mysz-ii+1) icoeff = 1 do k=1,ib i=ii+k-1 @@ -560,12 +562,119 @@ contains goto 9999 end if - deallocate(val,irow,icol) call psb_barrier(ctxt) t1 = psb_wtime() call psb_cdasb(desc_a,info,mold=imold) tcdasb = psb_wtime()-t1 + + ! + ! Add extra rows + ! + block + integer(psb_ipk_) :: ks, i + ks = desc_a%get_local_cols()-desc_a%get_local_rows() + if (ks > 0) ks = max(1,ks / 10) + mysz = nlr+ks + call psb_realloc(mysz,myidx,info) + do i=nlr+1, mysz + myidx(i) = i + end do + call desc_a%l2gv1(myidx(nlr+1:mysz),info) + !write(0,*) iam,' Check on extra nodes ',nlr,mysz,':',myidx(nlr+1:mysz) + do ii= nlr+1, mysz, nb + ib = min(nb,mysz-ii+1) + icoeff = 1 + do k=1,ib + i=ii+k-1 + ! local matrix pointer + glob_row=myidx(i) + ! compute gridpoint coordinates + call idx2ijk(ix,iy,iz,glob_row,idim,idim,idim) + ! x, y, z coordinates + x = (ix-1)*deltah + y = (iy-1)*deltah + z = (iz-1)*deltah + zt(k) = f_(x,y,z) + ! internal point: build discretization + ! + ! term depending on (x-1,y,z) + ! + val(icoeff) = -a1(x,y,z)/sqdeltah-b1(x,y,z)/deltah2 + if (ix == 1) then + zt(k) = g(szero,y,z)*(-val(icoeff)) + zt(k) + else + call ijk2idx(icol(icoeff),ix-1,iy,iz,idim,idim,idim) + irow(icoeff) = glob_row + icoeff = icoeff+1 + endif + ! term depending on (x,y-1,z) + val(icoeff) = -a2(x,y,z)/sqdeltah-b2(x,y,z)/deltah2 + if (iy == 1) then + zt(k) = g(x,szero,z)*(-val(icoeff)) + zt(k) + else + call ijk2idx(icol(icoeff),ix,iy-1,iz,idim,idim,idim) + irow(icoeff) = glob_row + icoeff = icoeff+1 + endif + ! term depending on (x,y,z-1) + val(icoeff)=-a3(x,y,z)/sqdeltah-b3(x,y,z)/deltah2 + if (iz == 1) then + zt(k) = g(x,y,szero)*(-val(icoeff)) + zt(k) + else + call ijk2idx(icol(icoeff),ix,iy,iz-1,idim,idim,idim) + irow(icoeff) = glob_row + icoeff = icoeff+1 + endif + + ! term depending on (x,y,z) + val(icoeff)=(2*sone)*(a1(x,y,z)+a2(x,y,z)+a3(x,y,z))/sqdeltah & + & + c(x,y,z) + call ijk2idx(icol(icoeff),ix,iy,iz,idim,idim,idim) + irow(icoeff) = glob_row + icoeff = icoeff+1 + ! term depending on (x,y,z+1) + val(icoeff)=-a3(x,y,z)/sqdeltah+b3(x,y,z)/deltah2 + if (iz == idim) then + zt(k) = g(x,y,sone)*(-val(icoeff)) + zt(k) + else + call ijk2idx(icol(icoeff),ix,iy,iz+1,idim,idim,idim) + irow(icoeff) = glob_row + icoeff = icoeff+1 + endif + ! term depending on (x,y+1,z) + val(icoeff)=-a2(x,y,z)/sqdeltah+b2(x,y,z)/deltah2 + if (iy == idim) then + zt(k) = g(x,sone,z)*(-val(icoeff)) + zt(k) + else + call ijk2idx(icol(icoeff),ix,iy+1,iz,idim,idim,idim) + irow(icoeff) = glob_row + icoeff = icoeff+1 + endif + ! term depending on (x+1,y,z) + val(icoeff)=-a1(x,y,z)/sqdeltah+b1(x,y,z)/deltah2 + if (ix==idim) then + zt(k) = g(sone,y,z)*(-val(icoeff)) + zt(k) + else + call ijk2idx(icol(icoeff),ix+1,iy,iz,idim,idim,idim) + irow(icoeff) = glob_row + icoeff = icoeff+1 + endif + + end do + call psb_spins(icoeff-1,irow,icol,val,a,desc_a,info) + if(info /= psb_success_) exit + call psb_geins(ib,myidx(ii:ii+ib-1),zt(1:ib),bv,desc_a,info) + if(info /= psb_success_) exit + zt(:)=szero + call psb_geins(ib,myidx(ii:ii+ib-1),zt(1:ib),xv,desc_a,info) + if(info /= psb_success_) exit + end do + + end block + + + call psb_barrier(ctxt) t1 = psb_wtime() if (info == psb_success_) then @@ -609,6 +718,7 @@ contains write(psb_out_unit,'("-total time : ",es12.5)') ttot end if + deallocate(val,irow,icol) call psb_erractionrestore(err_act) return @@ -616,8 +726,15 @@ contains return end subroutine psb_s_gen_pde3d - - + function outside(i,j,k,bndx,bndy,bndz,iamx,iamy,iamz) result(res) + logical :: res + integer(psb_ipk_), intent(in) :: i,j,k,iamx,iamy,iamz + integer(psb_ipk_), intent(in) :: bndx(0:),bndy(0:),bndz(0:) + + res = (i=bndx(iamx+1)) & + & .or.(j=bndy(iamy+1)) & + & .or.(k=bndz(iamz+1)) + end function outside end module psb_s_pde3d_mod program psb_s_pde3d From 0b19adab3c242d3d85614e0d2a27fafa8f283a17 Mon Sep 17 00:00:00 2001 From: Salvatore Filippone Date: Fri, 4 Feb 2022 19:12:32 +0100 Subject: [PATCH 04/28] Round of fixes for matrix remote build. Something still wrong. --- base/tools/psb_c_remote_mat.F90 | 147 ++++++++++++++++++-------------- base/tools/psb_cspalloc.f90 | 8 +- base/tools/psb_cspasb.f90 | 36 +++++--- base/tools/psb_cspins.F90 | 6 +- base/tools/psb_d_remote_mat.F90 | 147 ++++++++++++++++++-------------- base/tools/psb_dspalloc.f90 | 8 +- base/tools/psb_dspasb.f90 | 36 +++++--- base/tools/psb_dspins.F90 | 6 +- base/tools/psb_s_remote_mat.F90 | 147 ++++++++++++++++++-------------- base/tools/psb_sspalloc.f90 | 8 +- base/tools/psb_sspasb.f90 | 36 +++++--- base/tools/psb_sspins.F90 | 6 +- base/tools/psb_z_remote_mat.F90 | 147 ++++++++++++++++++-------------- base/tools/psb_zspalloc.f90 | 8 +- base/tools/psb_zspasb.f90 | 36 +++++--- base/tools/psb_zspins.F90 | 6 +- test/pargen/psb_d_pde3d.F90 | 4 +- test/pargen/psb_s_pde3d.F90 | 4 +- 18 files changed, 464 insertions(+), 332 deletions(-) diff --git a/base/tools/psb_c_remote_mat.F90 b/base/tools/psb_c_remote_mat.F90 index acd2ba6e..fcccd26d 100644 --- a/base/tools/psb_c_remote_mat.F90 +++ b/base/tools/psb_c_remote_mat.F90 @@ -98,20 +98,19 @@ Subroutine psb_lc_remote_mat(a,desc_a,b,info) integer(psb_ipk_) :: nnp, nrcvs, nsnds integer(psb_mpk_) :: icomm, minfo integer(psb_mpk_), allocatable :: brvindx(:), & - & rvsz(:), bsdindx(:),sdsz(:) + & rvsz(:), bsdindx(:),sdsz(:), sdsi(:), rvsi(:) integer(psb_lpk_), allocatable :: iasnd(:), jasnd(:) complex(psb_spk_), allocatable :: valsnd(:) type(psb_lc_coo_sparse_mat), allocatable :: acoo - integer(psb_ipk_), pointer :: idxv(:) class(psb_i_base_vect_type), pointer :: pdxv - integer(psb_ipk_), allocatable :: ipdxv(:), ladj(:), ila(:), iprc(:) + integer(psb_ipk_), allocatable :: ladj(:), ila(:), iprc(:) logical :: rowcnv_,colcnv_,rowscale_,colscale_ character(len=5) :: outfmt_ integer(psb_ipk_) :: debug_level, debug_unit, err_act character(len=20) :: name, ch_err info=psb_success_ - name='psb_csphalo' + name='psb_c_remote_mat' call psb_erractionsave(err_act) if (psb_errstatus_fatal()) then info = psb_err_internal_error_ ; goto 9999 @@ -129,9 +128,9 @@ Subroutine psb_lc_remote_mat(a,desc_a,b,info) call b%free() - - Allocate(brvindx(np+1),& - & rvsz(np),sdsz(np),bsdindx(np+1), acoo,stat=info) + + Allocate(rvsz(np),sdsz(np),sdsi(np),rvsi(np),brvindx(np+1),& + & bsdindx(np+1), acoo,stat=info) if (info /= psb_success_) then info=psb_err_alloc_dealloc_ @@ -140,71 +139,94 @@ Subroutine psb_lc_remote_mat(a,desc_a,b,info) end if - nz = a%get_nzeros() - allocate(ila(nz)) - write(0,*) me,name,' size :',nz,size(ila) - call desc_a%g2l(a%ia(1:nz),ila(1:nz),info,owned=.false.) - nouth = count(ila(1:nz)<0) - write(0,*) me,name,' Count out of halo :',nouth - call psb_max(ctxt,nouth) - if ((nouth/=0).and.(me==0)) & - & write(0,*) 'Warning: would require reinit of DESC_A' - - call psi_graph_fnd_owner(a%ia(1:nz),iprc,ladj,desc_a%indxmap,info) - call psb_msort_unique(ladj,nnp) - write(0,*) me,name,' Processes:',ladj(1:nnp) + nz = a%get_nzeros() + allocate(ila(nz)) + !write(0,*) me,name,' size :',nz,size(ila) + call desc_a%g2l(a%ia(1:nz),ila(1:nz),info,owned=.false.) + nouth = count(ila(1:nz)<0) + !write(0,*) me,name,' Count out of halo :',nouth + call psb_max(ctxt,nouth) + if ((nouth/=0).and.(me==0)) & + & write(0,*) 'Warning: would require reinit of DESC_A' - icomm = desc_a%get_mpic() - Allocate(brvindx(np+1),& - & rvsz(np),sdsz(np),bsdindx(np+1), stat=info) - sdsz(:)=0 - rvsz(:)=0 - ipx = 1 - brvindx(ipx) = 0 - bsdindx(ipx) = 0 - counter=1 - idx = 0 - idxs = 0 - idxr = 0 - do i=1,nz - if (iprc(i) >=0) then - sdsz(iprc(i)+1) = sdsz(iprc(i)+1) +1 - else - write(0,*)me,name,' Error from fnd_owner: ',iprc(i) - end if - end do - call mpi_alltoall(sdsz,1,psb_mpi_mpk_,& - & rvsz,1,psb_mpi_mpk_,icomm,minfo) - if (minfo /= psb_success_) then - info=psb_err_from_subroutine_ - call psb_errpush(info,name,a_err='mpi_alltoall') - goto 9999 - end if - write(0,*)me,name,' sdsz ',sdsz(:),' rvsz:',rvsz(:) - nsnds = count(sdsz /= 0) - nrcvs = count(rvsz /= 0) - idxs = 0 - idxr = 0 - counter = 1 - + call psi_graph_fnd_owner(a%ia(1:nz),iprc,ladj,desc_a%indxmap,info) + call psb_msort_unique(ladj,nnp) + !write(0,*) me,name,' Processes:',ladj(1:nnp) - - - lnnz = max(iszr,iszs,lone) - lnc = a%get_ncols() - call acoo%allocate(lnr,lnc,lnnz) + icomm = desc_a%get_mpic() + sdsz(:)=0 + rvsz(:)=0 + sdsi(:)=0 + rvsi(:)=0 + ipx = 1 + brvindx(:) = 0 + bsdindx(:) = 0 + counter=1 + idx = 0 + idxs = 0 + idxr = 0 + do i=1,nz + if (iprc(i) >=0) then + sdsz(iprc(i)+1) = sdsz(iprc(i)+1) +1 + else + write(0,*)me,name,' Error from fnd_owner: ',iprc(i) + end if + end do + call mpi_alltoall(sdsz,1,psb_mpi_mpk_,& + & rvsz,1,psb_mpi_mpk_,icomm,minfo) + if (minfo /= psb_success_) then + info=psb_err_from_subroutine_ + call psb_errpush(info,name,a_err='mpi_alltoall') + goto 9999 + end if + !write(0,*)me,name,' sdsz ',sdsz(:),' rvsz:',rvsz(:) + nsnds = count(sdsz /= 0) + nrcvs = count(rvsz /= 0) + idxs = 0 + idxr = 0 + counter = 1 + Do proc=0,np-1 + bsdindx(proc+1) = idxs + idxs = idxs + sdsz(proc+1) + brvindx(proc+1) = idxr + idxr = idxr + rvsz(proc+1) + Enddo + + iszs = sum(sdsz) + iszr = sum(rvsz) + call acoo%allocate(desc_a%get_global_rows(),desc_a%get_global_cols(),iszr) + if (psb_errstatus_fatal()) then + write(0,*) 'Error from acoo%allocate ' + info = 4010 + goto 9999 + end if if (debug_level >= psb_debug_outer_)& & write(debug_unit,*) me,' ',trim(name),': Sizes:',acoo%get_size(),& & ' Send:',sdsz(:),' Receive:',rvsz(:) - + !write(debug_unit,*) me,' ',trim(name),': ',info if (info == psb_success_) call psb_ensure_size(max(iszs,1),iasnd,info) + !write(debug_unit,*) me,' ',trim(name),' iasnd: ',info if (info == psb_success_) call psb_ensure_size(max(iszs,1),jasnd,info) + !write(debug_unit,*) me,' ',trim(name),' jasnd: ',info if (info == psb_success_) call psb_ensure_size(max(iszs,1),valsnd,info) + !write(debug_unit,*) me,' ',trim(name),' valsnd: ',info if (info /= psb_success_) then info=psb_err_from_subroutine_ call psb_errpush(info,name,a_err='ensure_size') goto 9999 end if + do k=1, nz + proc = iprc(k) + sdsi(proc+1) = sdsi(proc+1) + 1 + !rvsi(proc) = rvsi(proc) + 1 + iasnd(bsdindx(proc+1)+sdsi(proc+1)) = a%ia(k) + jasnd(bsdindx(proc+1)+sdsi(proc+1)) = a%ja(k) + valsnd(bsdindx(proc+1)+sdsi(proc+1)) = a%val(k) + end do + do proc=0,np-1 + if (sdsi(proc+1) /= sdsz(proc+1)) & + & write(0,*) me,name,'Send mismacth ',sdsi(proc+1),sdsz(proc+1) + end do select case(psb_get_sp_a2av_alg()) case(psb_sp_a2av_smpl_triad_) @@ -218,7 +240,7 @@ Subroutine psb_lc_remote_mat(a,desc_a,b,info) if (info == psb_success_) call psb_simple_a2av(jasnd,sdsz,bsdindx,& & acoo%ja,rvsz,brvindx,ctxt,info) case(psb_sp_a2av_mpi_) - + call mpi_alltoallv(valsnd,sdsz,bsdindx,psb_mpi_c_spk_,& & acoo%val,rvsz,brvindx,psb_mpi_c_spk_,icomm,minfo) if (minfo == mpi_success) & @@ -239,10 +261,9 @@ Subroutine psb_lc_remote_mat(a,desc_a,b,info) call psb_errpush(info,name,a_err='alltoallv') goto 9999 end if - + call acoo%set_nzeros(iszr) call acoo%mv_to_coo(b,info) - - + Deallocate(brvindx,bsdindx,rvsz,sdsz,& & iasnd,jasnd,valsnd,stat=info) if (debug_level >= psb_debug_outer_)& diff --git a/base/tools/psb_cspalloc.f90 b/base/tools/psb_cspalloc.f90 index 379cb935..286bb4a0 100644 --- a/base/tools/psb_cspalloc.f90 +++ b/base/tools/psb_cspalloc.f90 @@ -114,16 +114,16 @@ subroutine psb_cspalloc(a, desc_a, info, nnz, bldmode) goto 9999 end if - write(0,*) name,'Setting a%remote_build ',& - & bldmode_,psb_matbld_noremote_,psb_matbld_remote_ +!!$ write(0,*) name,'Setting a%remote_build ',& +!!$ & bldmode_,psb_matbld_noremote_,psb_matbld_remote_ a%remote_build = bldmode_ select case(a%remote_build) case (psb_matbld_noremote_) ! nothing needed - write(0,*) name,' matbld_noremote_ nothing needed' + !write(0,*) name,' matbld_noremote_ nothing needed' case (psb_matbld_remote_) - write(0,*) name,' matbld_remote_ start ' + !write(0,*) name,' matbld_remote_ start ' allocate(a%rmta) nnzrmt_ = max(100,(nnz_/100)) call a%rmta%allocate(m,n,nnzrmt_) diff --git a/base/tools/psb_cspasb.f90 b/base/tools/psb_cspasb.f90 index 4904d336..99c8990e 100644 --- a/base/tools/psb_cspasb.f90 +++ b/base/tools/psb_cspasb.f90 @@ -106,26 +106,38 @@ subroutine psb_cspasb(a,desc_a, info, afmt, upd, dupl, mold) ! First case: we come from a fresh build. ! - n_row = desc_a%get_local_rows() - n_col = desc_a%get_local_cols() - call a%set_nrows(n_row) - call a%set_ncols(n_col) - end if - - if (a%is_bld()) then - select case(a%remote_build) case (psb_matbld_noremote_) ! nothing needed case (psb_matbld_remote_) - write(0,*) me,name,' Size of rmta:',a%rmta%get_nzeros() + !write(0,*) me,name,' Size of rmta:',a%rmta%get_nzeros() block type(psb_lc_coo_sparse_mat) :: a_add - + integer(psb_ipk_), allocatable :: ila(:), jla(:) + integer(psb_ipk_) :: nz, nzt,k call psb_remote_mat(a%rmta,desc_a,a_add,info) - - end block + nz = a_add%get_nzeros() +!!$ write(0,*) me,name,' Nz to be added',nz + nzt = nz + call psb_sum(ctxt,nzt) + if (nzt>0) call psb_cd_reinit(desc_a, info) + if (nz > 0) then + ! + ! Should we check for new indices here? + ! + call psb_realloc(nz,ila,info) + call psb_realloc(nz,jla,info) + call desc_a%indxmap%g2l(a_add%ia(1:nz),ila(1:nz),info,owned=.true.) + if (info == 0) call desc_a%indxmap%g2l_ins(a_add%ja(1:nz),jla(1:nz),info) + !write(0,*) me,name,' Check before insert',a%get_nzeros() + n_row = desc_a%get_local_rows() + n_col = desc_a%get_local_cols() + call a%csput(nz,ila,jla,a_add%val,ione,n_row,ione,n_col,info) + !write(0,*) me,name,' Check after insert',a%get_nzeros(),nz + end if + if (nzt > 0) call psb_cdasb(desc_a,info) + end block end select call a%cscnv(info,type=afmt,dupl=dupl, mold=mold) diff --git a/base/tools/psb_cspins.F90 b/base/tools/psb_cspins.F90 index 6c050b0c..553e3e3d 100644 --- a/base/tools/psb_cspins.F90 +++ b/base/tools/psb_cspins.F90 @@ -164,9 +164,9 @@ subroutine psb_cspins(nz,ia,ja,val,a,desc_a,info,rebuild,local) do i=1,nz if (ila(i)<0) then k=k+1 - lila(k) = ia(k) - ljla(k) = ja(k) - lval(k) = val(k) + lila(k) = ia(i) + ljla(k) = ja(i) + lval(k) = val(i) end if end do if (k /= nnl) write(0,*) name,' Wrong conversion?',k,nnl diff --git a/base/tools/psb_d_remote_mat.F90 b/base/tools/psb_d_remote_mat.F90 index 3e35970a..290a6f3d 100644 --- a/base/tools/psb_d_remote_mat.F90 +++ b/base/tools/psb_d_remote_mat.F90 @@ -98,20 +98,19 @@ Subroutine psb_ld_remote_mat(a,desc_a,b,info) integer(psb_ipk_) :: nnp, nrcvs, nsnds integer(psb_mpk_) :: icomm, minfo integer(psb_mpk_), allocatable :: brvindx(:), & - & rvsz(:), bsdindx(:),sdsz(:) + & rvsz(:), bsdindx(:),sdsz(:), sdsi(:), rvsi(:) integer(psb_lpk_), allocatable :: iasnd(:), jasnd(:) real(psb_dpk_), allocatable :: valsnd(:) type(psb_ld_coo_sparse_mat), allocatable :: acoo - integer(psb_ipk_), pointer :: idxv(:) class(psb_i_base_vect_type), pointer :: pdxv - integer(psb_ipk_), allocatable :: ipdxv(:), ladj(:), ila(:), iprc(:) + integer(psb_ipk_), allocatable :: ladj(:), ila(:), iprc(:) logical :: rowcnv_,colcnv_,rowscale_,colscale_ character(len=5) :: outfmt_ integer(psb_ipk_) :: debug_level, debug_unit, err_act character(len=20) :: name, ch_err info=psb_success_ - name='psb_dsphalo' + name='psb_d_remote_mat' call psb_erractionsave(err_act) if (psb_errstatus_fatal()) then info = psb_err_internal_error_ ; goto 9999 @@ -129,9 +128,9 @@ Subroutine psb_ld_remote_mat(a,desc_a,b,info) call b%free() - - Allocate(brvindx(np+1),& - & rvsz(np),sdsz(np),bsdindx(np+1), acoo,stat=info) + + Allocate(rvsz(np),sdsz(np),sdsi(np),rvsi(np),brvindx(np+1),& + & bsdindx(np+1), acoo,stat=info) if (info /= psb_success_) then info=psb_err_alloc_dealloc_ @@ -140,71 +139,94 @@ Subroutine psb_ld_remote_mat(a,desc_a,b,info) end if - nz = a%get_nzeros() - allocate(ila(nz)) - write(0,*) me,name,' size :',nz,size(ila) - call desc_a%g2l(a%ia(1:nz),ila(1:nz),info,owned=.false.) - nouth = count(ila(1:nz)<0) - write(0,*) me,name,' Count out of halo :',nouth - call psb_max(ctxt,nouth) - if ((nouth/=0).and.(me==0)) & - & write(0,*) 'Warning: would require reinit of DESC_A' - - call psi_graph_fnd_owner(a%ia(1:nz),iprc,ladj,desc_a%indxmap,info) - call psb_msort_unique(ladj,nnp) - write(0,*) me,name,' Processes:',ladj(1:nnp) + nz = a%get_nzeros() + allocate(ila(nz)) + !write(0,*) me,name,' size :',nz,size(ila) + call desc_a%g2l(a%ia(1:nz),ila(1:nz),info,owned=.false.) + nouth = count(ila(1:nz)<0) + !write(0,*) me,name,' Count out of halo :',nouth + call psb_max(ctxt,nouth) + if ((nouth/=0).and.(me==0)) & + & write(0,*) 'Warning: would require reinit of DESC_A' - icomm = desc_a%get_mpic() - Allocate(brvindx(np+1),& - & rvsz(np),sdsz(np),bsdindx(np+1), stat=info) - sdsz(:)=0 - rvsz(:)=0 - ipx = 1 - brvindx(ipx) = 0 - bsdindx(ipx) = 0 - counter=1 - idx = 0 - idxs = 0 - idxr = 0 - do i=1,nz - if (iprc(i) >=0) then - sdsz(iprc(i)+1) = sdsz(iprc(i)+1) +1 - else - write(0,*)me,name,' Error from fnd_owner: ',iprc(i) - end if - end do - call mpi_alltoall(sdsz,1,psb_mpi_mpk_,& - & rvsz,1,psb_mpi_mpk_,icomm,minfo) - if (minfo /= psb_success_) then - info=psb_err_from_subroutine_ - call psb_errpush(info,name,a_err='mpi_alltoall') - goto 9999 - end if - write(0,*)me,name,' sdsz ',sdsz(:),' rvsz:',rvsz(:) - nsnds = count(sdsz /= 0) - nrcvs = count(rvsz /= 0) - idxs = 0 - idxr = 0 - counter = 1 - + call psi_graph_fnd_owner(a%ia(1:nz),iprc,ladj,desc_a%indxmap,info) + call psb_msort_unique(ladj,nnp) + !write(0,*) me,name,' Processes:',ladj(1:nnp) - - - lnnz = max(iszr,iszs,lone) - lnc = a%get_ncols() - call acoo%allocate(lnr,lnc,lnnz) + icomm = desc_a%get_mpic() + sdsz(:)=0 + rvsz(:)=0 + sdsi(:)=0 + rvsi(:)=0 + ipx = 1 + brvindx(:) = 0 + bsdindx(:) = 0 + counter=1 + idx = 0 + idxs = 0 + idxr = 0 + do i=1,nz + if (iprc(i) >=0) then + sdsz(iprc(i)+1) = sdsz(iprc(i)+1) +1 + else + write(0,*)me,name,' Error from fnd_owner: ',iprc(i) + end if + end do + call mpi_alltoall(sdsz,1,psb_mpi_mpk_,& + & rvsz,1,psb_mpi_mpk_,icomm,minfo) + if (minfo /= psb_success_) then + info=psb_err_from_subroutine_ + call psb_errpush(info,name,a_err='mpi_alltoall') + goto 9999 + end if + !write(0,*)me,name,' sdsz ',sdsz(:),' rvsz:',rvsz(:) + nsnds = count(sdsz /= 0) + nrcvs = count(rvsz /= 0) + idxs = 0 + idxr = 0 + counter = 1 + Do proc=0,np-1 + bsdindx(proc+1) = idxs + idxs = idxs + sdsz(proc+1) + brvindx(proc+1) = idxr + idxr = idxr + rvsz(proc+1) + Enddo + + iszs = sum(sdsz) + iszr = sum(rvsz) + call acoo%allocate(desc_a%get_global_rows(),desc_a%get_global_cols(),iszr) + if (psb_errstatus_fatal()) then + write(0,*) 'Error from acoo%allocate ' + info = 4010 + goto 9999 + end if if (debug_level >= psb_debug_outer_)& & write(debug_unit,*) me,' ',trim(name),': Sizes:',acoo%get_size(),& & ' Send:',sdsz(:),' Receive:',rvsz(:) - + !write(debug_unit,*) me,' ',trim(name),': ',info if (info == psb_success_) call psb_ensure_size(max(iszs,1),iasnd,info) + !write(debug_unit,*) me,' ',trim(name),' iasnd: ',info if (info == psb_success_) call psb_ensure_size(max(iszs,1),jasnd,info) + !write(debug_unit,*) me,' ',trim(name),' jasnd: ',info if (info == psb_success_) call psb_ensure_size(max(iszs,1),valsnd,info) + !write(debug_unit,*) me,' ',trim(name),' valsnd: ',info if (info /= psb_success_) then info=psb_err_from_subroutine_ call psb_errpush(info,name,a_err='ensure_size') goto 9999 end if + do k=1, nz + proc = iprc(k) + sdsi(proc+1) = sdsi(proc+1) + 1 + !rvsi(proc) = rvsi(proc) + 1 + iasnd(bsdindx(proc+1)+sdsi(proc+1)) = a%ia(k) + jasnd(bsdindx(proc+1)+sdsi(proc+1)) = a%ja(k) + valsnd(bsdindx(proc+1)+sdsi(proc+1)) = a%val(k) + end do + do proc=0,np-1 + if (sdsi(proc+1) /= sdsz(proc+1)) & + & write(0,*) me,name,'Send mismacth ',sdsi(proc+1),sdsz(proc+1) + end do select case(psb_get_sp_a2av_alg()) case(psb_sp_a2av_smpl_triad_) @@ -218,7 +240,7 @@ Subroutine psb_ld_remote_mat(a,desc_a,b,info) if (info == psb_success_) call psb_simple_a2av(jasnd,sdsz,bsdindx,& & acoo%ja,rvsz,brvindx,ctxt,info) case(psb_sp_a2av_mpi_) - + call mpi_alltoallv(valsnd,sdsz,bsdindx,psb_mpi_r_dpk_,& & acoo%val,rvsz,brvindx,psb_mpi_r_dpk_,icomm,minfo) if (minfo == mpi_success) & @@ -239,10 +261,9 @@ Subroutine psb_ld_remote_mat(a,desc_a,b,info) call psb_errpush(info,name,a_err='alltoallv') goto 9999 end if - + call acoo%set_nzeros(iszr) call acoo%mv_to_coo(b,info) - - + Deallocate(brvindx,bsdindx,rvsz,sdsz,& & iasnd,jasnd,valsnd,stat=info) if (debug_level >= psb_debug_outer_)& diff --git a/base/tools/psb_dspalloc.f90 b/base/tools/psb_dspalloc.f90 index 3d945274..781a3abf 100644 --- a/base/tools/psb_dspalloc.f90 +++ b/base/tools/psb_dspalloc.f90 @@ -114,16 +114,16 @@ subroutine psb_dspalloc(a, desc_a, info, nnz, bldmode) goto 9999 end if - write(0,*) name,'Setting a%remote_build ',& - & bldmode_,psb_matbld_noremote_,psb_matbld_remote_ +!!$ write(0,*) name,'Setting a%remote_build ',& +!!$ & bldmode_,psb_matbld_noremote_,psb_matbld_remote_ a%remote_build = bldmode_ select case(a%remote_build) case (psb_matbld_noremote_) ! nothing needed - write(0,*) name,' matbld_noremote_ nothing needed' + !write(0,*) name,' matbld_noremote_ nothing needed' case (psb_matbld_remote_) - write(0,*) name,' matbld_remote_ start ' + !write(0,*) name,' matbld_remote_ start ' allocate(a%rmta) nnzrmt_ = max(100,(nnz_/100)) call a%rmta%allocate(m,n,nnzrmt_) diff --git a/base/tools/psb_dspasb.f90 b/base/tools/psb_dspasb.f90 index bc66eb11..c9d3cd08 100644 --- a/base/tools/psb_dspasb.f90 +++ b/base/tools/psb_dspasb.f90 @@ -106,26 +106,38 @@ subroutine psb_dspasb(a,desc_a, info, afmt, upd, dupl, mold) ! First case: we come from a fresh build. ! - n_row = desc_a%get_local_rows() - n_col = desc_a%get_local_cols() - call a%set_nrows(n_row) - call a%set_ncols(n_col) - end if - - if (a%is_bld()) then - select case(a%remote_build) case (psb_matbld_noremote_) ! nothing needed case (psb_matbld_remote_) - write(0,*) me,name,' Size of rmta:',a%rmta%get_nzeros() + !write(0,*) me,name,' Size of rmta:',a%rmta%get_nzeros() block type(psb_ld_coo_sparse_mat) :: a_add - + integer(psb_ipk_), allocatable :: ila(:), jla(:) + integer(psb_ipk_) :: nz, nzt,k call psb_remote_mat(a%rmta,desc_a,a_add,info) - - end block + nz = a_add%get_nzeros() +!!$ write(0,*) me,name,' Nz to be added',nz + nzt = nz + call psb_sum(ctxt,nzt) + if (nzt>0) call psb_cd_reinit(desc_a, info) + if (nz > 0) then + ! + ! Should we check for new indices here? + ! + call psb_realloc(nz,ila,info) + call psb_realloc(nz,jla,info) + call desc_a%indxmap%g2l(a_add%ia(1:nz),ila(1:nz),info,owned=.true.) + if (info == 0) call desc_a%indxmap%g2l_ins(a_add%ja(1:nz),jla(1:nz),info) + !write(0,*) me,name,' Check before insert',a%get_nzeros() + n_row = desc_a%get_local_rows() + n_col = desc_a%get_local_cols() + call a%csput(nz,ila,jla,a_add%val,ione,n_row,ione,n_col,info) + !write(0,*) me,name,' Check after insert',a%get_nzeros(),nz + end if + if (nzt > 0) call psb_cdasb(desc_a,info) + end block end select call a%cscnv(info,type=afmt,dupl=dupl, mold=mold) diff --git a/base/tools/psb_dspins.F90 b/base/tools/psb_dspins.F90 index 06276fa8..064b816c 100644 --- a/base/tools/psb_dspins.F90 +++ b/base/tools/psb_dspins.F90 @@ -164,9 +164,9 @@ subroutine psb_dspins(nz,ia,ja,val,a,desc_a,info,rebuild,local) do i=1,nz if (ila(i)<0) then k=k+1 - lila(k) = ia(k) - ljla(k) = ja(k) - lval(k) = val(k) + lila(k) = ia(i) + ljla(k) = ja(i) + lval(k) = val(i) end if end do if (k /= nnl) write(0,*) name,' Wrong conversion?',k,nnl diff --git a/base/tools/psb_s_remote_mat.F90 b/base/tools/psb_s_remote_mat.F90 index 0a78d2b6..26b12652 100644 --- a/base/tools/psb_s_remote_mat.F90 +++ b/base/tools/psb_s_remote_mat.F90 @@ -98,20 +98,19 @@ Subroutine psb_ls_remote_mat(a,desc_a,b,info) integer(psb_ipk_) :: nnp, nrcvs, nsnds integer(psb_mpk_) :: icomm, minfo integer(psb_mpk_), allocatable :: brvindx(:), & - & rvsz(:), bsdindx(:),sdsz(:) + & rvsz(:), bsdindx(:),sdsz(:), sdsi(:), rvsi(:) integer(psb_lpk_), allocatable :: iasnd(:), jasnd(:) real(psb_spk_), allocatable :: valsnd(:) type(psb_ls_coo_sparse_mat), allocatable :: acoo - integer(psb_ipk_), pointer :: idxv(:) class(psb_i_base_vect_type), pointer :: pdxv - integer(psb_ipk_), allocatable :: ipdxv(:), ladj(:), ila(:), iprc(:) + integer(psb_ipk_), allocatable :: ladj(:), ila(:), iprc(:) logical :: rowcnv_,colcnv_,rowscale_,colscale_ character(len=5) :: outfmt_ integer(psb_ipk_) :: debug_level, debug_unit, err_act character(len=20) :: name, ch_err info=psb_success_ - name='psb_ssphalo' + name='psb_s_remote_mat' call psb_erractionsave(err_act) if (psb_errstatus_fatal()) then info = psb_err_internal_error_ ; goto 9999 @@ -129,9 +128,9 @@ Subroutine psb_ls_remote_mat(a,desc_a,b,info) call b%free() - - Allocate(brvindx(np+1),& - & rvsz(np),sdsz(np),bsdindx(np+1), acoo,stat=info) + + Allocate(rvsz(np),sdsz(np),sdsi(np),rvsi(np),brvindx(np+1),& + & bsdindx(np+1), acoo,stat=info) if (info /= psb_success_) then info=psb_err_alloc_dealloc_ @@ -140,71 +139,94 @@ Subroutine psb_ls_remote_mat(a,desc_a,b,info) end if - nz = a%get_nzeros() - allocate(ila(nz)) - write(0,*) me,name,' size :',nz,size(ila) - call desc_a%g2l(a%ia(1:nz),ila(1:nz),info,owned=.false.) - nouth = count(ila(1:nz)<0) - write(0,*) me,name,' Count out of halo :',nouth - call psb_max(ctxt,nouth) - if ((nouth/=0).and.(me==0)) & - & write(0,*) 'Warning: would require reinit of DESC_A' - - call psi_graph_fnd_owner(a%ia(1:nz),iprc,ladj,desc_a%indxmap,info) - call psb_msort_unique(ladj,nnp) - write(0,*) me,name,' Processes:',ladj(1:nnp) + nz = a%get_nzeros() + allocate(ila(nz)) + !write(0,*) me,name,' size :',nz,size(ila) + call desc_a%g2l(a%ia(1:nz),ila(1:nz),info,owned=.false.) + nouth = count(ila(1:nz)<0) + !write(0,*) me,name,' Count out of halo :',nouth + call psb_max(ctxt,nouth) + if ((nouth/=0).and.(me==0)) & + & write(0,*) 'Warning: would require reinit of DESC_A' - icomm = desc_a%get_mpic() - Allocate(brvindx(np+1),& - & rvsz(np),sdsz(np),bsdindx(np+1), stat=info) - sdsz(:)=0 - rvsz(:)=0 - ipx = 1 - brvindx(ipx) = 0 - bsdindx(ipx) = 0 - counter=1 - idx = 0 - idxs = 0 - idxr = 0 - do i=1,nz - if (iprc(i) >=0) then - sdsz(iprc(i)+1) = sdsz(iprc(i)+1) +1 - else - write(0,*)me,name,' Error from fnd_owner: ',iprc(i) - end if - end do - call mpi_alltoall(sdsz,1,psb_mpi_mpk_,& - & rvsz,1,psb_mpi_mpk_,icomm,minfo) - if (minfo /= psb_success_) then - info=psb_err_from_subroutine_ - call psb_errpush(info,name,a_err='mpi_alltoall') - goto 9999 - end if - write(0,*)me,name,' sdsz ',sdsz(:),' rvsz:',rvsz(:) - nsnds = count(sdsz /= 0) - nrcvs = count(rvsz /= 0) - idxs = 0 - idxr = 0 - counter = 1 - + call psi_graph_fnd_owner(a%ia(1:nz),iprc,ladj,desc_a%indxmap,info) + call psb_msort_unique(ladj,nnp) + !write(0,*) me,name,' Processes:',ladj(1:nnp) - - - lnnz = max(iszr,iszs,lone) - lnc = a%get_ncols() - call acoo%allocate(lnr,lnc,lnnz) + icomm = desc_a%get_mpic() + sdsz(:)=0 + rvsz(:)=0 + sdsi(:)=0 + rvsi(:)=0 + ipx = 1 + brvindx(:) = 0 + bsdindx(:) = 0 + counter=1 + idx = 0 + idxs = 0 + idxr = 0 + do i=1,nz + if (iprc(i) >=0) then + sdsz(iprc(i)+1) = sdsz(iprc(i)+1) +1 + else + write(0,*)me,name,' Error from fnd_owner: ',iprc(i) + end if + end do + call mpi_alltoall(sdsz,1,psb_mpi_mpk_,& + & rvsz,1,psb_mpi_mpk_,icomm,minfo) + if (minfo /= psb_success_) then + info=psb_err_from_subroutine_ + call psb_errpush(info,name,a_err='mpi_alltoall') + goto 9999 + end if + !write(0,*)me,name,' sdsz ',sdsz(:),' rvsz:',rvsz(:) + nsnds = count(sdsz /= 0) + nrcvs = count(rvsz /= 0) + idxs = 0 + idxr = 0 + counter = 1 + Do proc=0,np-1 + bsdindx(proc+1) = idxs + idxs = idxs + sdsz(proc+1) + brvindx(proc+1) = idxr + idxr = idxr + rvsz(proc+1) + Enddo + + iszs = sum(sdsz) + iszr = sum(rvsz) + call acoo%allocate(desc_a%get_global_rows(),desc_a%get_global_cols(),iszr) + if (psb_errstatus_fatal()) then + write(0,*) 'Error from acoo%allocate ' + info = 4010 + goto 9999 + end if if (debug_level >= psb_debug_outer_)& & write(debug_unit,*) me,' ',trim(name),': Sizes:',acoo%get_size(),& & ' Send:',sdsz(:),' Receive:',rvsz(:) - + !write(debug_unit,*) me,' ',trim(name),': ',info if (info == psb_success_) call psb_ensure_size(max(iszs,1),iasnd,info) + !write(debug_unit,*) me,' ',trim(name),' iasnd: ',info if (info == psb_success_) call psb_ensure_size(max(iszs,1),jasnd,info) + !write(debug_unit,*) me,' ',trim(name),' jasnd: ',info if (info == psb_success_) call psb_ensure_size(max(iszs,1),valsnd,info) + !write(debug_unit,*) me,' ',trim(name),' valsnd: ',info if (info /= psb_success_) then info=psb_err_from_subroutine_ call psb_errpush(info,name,a_err='ensure_size') goto 9999 end if + do k=1, nz + proc = iprc(k) + sdsi(proc+1) = sdsi(proc+1) + 1 + !rvsi(proc) = rvsi(proc) + 1 + iasnd(bsdindx(proc+1)+sdsi(proc+1)) = a%ia(k) + jasnd(bsdindx(proc+1)+sdsi(proc+1)) = a%ja(k) + valsnd(bsdindx(proc+1)+sdsi(proc+1)) = a%val(k) + end do + do proc=0,np-1 + if (sdsi(proc+1) /= sdsz(proc+1)) & + & write(0,*) me,name,'Send mismacth ',sdsi(proc+1),sdsz(proc+1) + end do select case(psb_get_sp_a2av_alg()) case(psb_sp_a2av_smpl_triad_) @@ -218,7 +240,7 @@ Subroutine psb_ls_remote_mat(a,desc_a,b,info) if (info == psb_success_) call psb_simple_a2av(jasnd,sdsz,bsdindx,& & acoo%ja,rvsz,brvindx,ctxt,info) case(psb_sp_a2av_mpi_) - + call mpi_alltoallv(valsnd,sdsz,bsdindx,psb_mpi_r_spk_,& & acoo%val,rvsz,brvindx,psb_mpi_r_spk_,icomm,minfo) if (minfo == mpi_success) & @@ -239,10 +261,9 @@ Subroutine psb_ls_remote_mat(a,desc_a,b,info) call psb_errpush(info,name,a_err='alltoallv') goto 9999 end if - + call acoo%set_nzeros(iszr) call acoo%mv_to_coo(b,info) - - + Deallocate(brvindx,bsdindx,rvsz,sdsz,& & iasnd,jasnd,valsnd,stat=info) if (debug_level >= psb_debug_outer_)& diff --git a/base/tools/psb_sspalloc.f90 b/base/tools/psb_sspalloc.f90 index 2d79b0ba..14e784da 100644 --- a/base/tools/psb_sspalloc.f90 +++ b/base/tools/psb_sspalloc.f90 @@ -114,16 +114,16 @@ subroutine psb_sspalloc(a, desc_a, info, nnz, bldmode) goto 9999 end if - write(0,*) name,'Setting a%remote_build ',& - & bldmode_,psb_matbld_noremote_,psb_matbld_remote_ +!!$ write(0,*) name,'Setting a%remote_build ',& +!!$ & bldmode_,psb_matbld_noremote_,psb_matbld_remote_ a%remote_build = bldmode_ select case(a%remote_build) case (psb_matbld_noremote_) ! nothing needed - write(0,*) name,' matbld_noremote_ nothing needed' + !write(0,*) name,' matbld_noremote_ nothing needed' case (psb_matbld_remote_) - write(0,*) name,' matbld_remote_ start ' + !write(0,*) name,' matbld_remote_ start ' allocate(a%rmta) nnzrmt_ = max(100,(nnz_/100)) call a%rmta%allocate(m,n,nnzrmt_) diff --git a/base/tools/psb_sspasb.f90 b/base/tools/psb_sspasb.f90 index fa9a2a49..9249c59c 100644 --- a/base/tools/psb_sspasb.f90 +++ b/base/tools/psb_sspasb.f90 @@ -106,26 +106,38 @@ subroutine psb_sspasb(a,desc_a, info, afmt, upd, dupl, mold) ! First case: we come from a fresh build. ! - n_row = desc_a%get_local_rows() - n_col = desc_a%get_local_cols() - call a%set_nrows(n_row) - call a%set_ncols(n_col) - end if - - if (a%is_bld()) then - select case(a%remote_build) case (psb_matbld_noremote_) ! nothing needed case (psb_matbld_remote_) - write(0,*) me,name,' Size of rmta:',a%rmta%get_nzeros() + !write(0,*) me,name,' Size of rmta:',a%rmta%get_nzeros() block type(psb_ls_coo_sparse_mat) :: a_add - + integer(psb_ipk_), allocatable :: ila(:), jla(:) + integer(psb_ipk_) :: nz, nzt,k call psb_remote_mat(a%rmta,desc_a,a_add,info) - - end block + nz = a_add%get_nzeros() +!!$ write(0,*) me,name,' Nz to be added',nz + nzt = nz + call psb_sum(ctxt,nzt) + if (nzt>0) call psb_cd_reinit(desc_a, info) + if (nz > 0) then + ! + ! Should we check for new indices here? + ! + call psb_realloc(nz,ila,info) + call psb_realloc(nz,jla,info) + call desc_a%indxmap%g2l(a_add%ia(1:nz),ila(1:nz),info,owned=.true.) + if (info == 0) call desc_a%indxmap%g2l_ins(a_add%ja(1:nz),jla(1:nz),info) + !write(0,*) me,name,' Check before insert',a%get_nzeros() + n_row = desc_a%get_local_rows() + n_col = desc_a%get_local_cols() + call a%csput(nz,ila,jla,a_add%val,ione,n_row,ione,n_col,info) + !write(0,*) me,name,' Check after insert',a%get_nzeros(),nz + end if + if (nzt > 0) call psb_cdasb(desc_a,info) + end block end select call a%cscnv(info,type=afmt,dupl=dupl, mold=mold) diff --git a/base/tools/psb_sspins.F90 b/base/tools/psb_sspins.F90 index c4abb9f6..e49e7423 100644 --- a/base/tools/psb_sspins.F90 +++ b/base/tools/psb_sspins.F90 @@ -164,9 +164,9 @@ subroutine psb_sspins(nz,ia,ja,val,a,desc_a,info,rebuild,local) do i=1,nz if (ila(i)<0) then k=k+1 - lila(k) = ia(k) - ljla(k) = ja(k) - lval(k) = val(k) + lila(k) = ia(i) + ljla(k) = ja(i) + lval(k) = val(i) end if end do if (k /= nnl) write(0,*) name,' Wrong conversion?',k,nnl diff --git a/base/tools/psb_z_remote_mat.F90 b/base/tools/psb_z_remote_mat.F90 index 1acc57b2..7b2ade7c 100644 --- a/base/tools/psb_z_remote_mat.F90 +++ b/base/tools/psb_z_remote_mat.F90 @@ -98,20 +98,19 @@ Subroutine psb_lz_remote_mat(a,desc_a,b,info) integer(psb_ipk_) :: nnp, nrcvs, nsnds integer(psb_mpk_) :: icomm, minfo integer(psb_mpk_), allocatable :: brvindx(:), & - & rvsz(:), bsdindx(:),sdsz(:) + & rvsz(:), bsdindx(:),sdsz(:), sdsi(:), rvsi(:) integer(psb_lpk_), allocatable :: iasnd(:), jasnd(:) complex(psb_dpk_), allocatable :: valsnd(:) type(psb_lz_coo_sparse_mat), allocatable :: acoo - integer(psb_ipk_), pointer :: idxv(:) class(psb_i_base_vect_type), pointer :: pdxv - integer(psb_ipk_), allocatable :: ipdxv(:), ladj(:), ila(:), iprc(:) + integer(psb_ipk_), allocatable :: ladj(:), ila(:), iprc(:) logical :: rowcnv_,colcnv_,rowscale_,colscale_ character(len=5) :: outfmt_ integer(psb_ipk_) :: debug_level, debug_unit, err_act character(len=20) :: name, ch_err info=psb_success_ - name='psb_zsphalo' + name='psb_z_remote_mat' call psb_erractionsave(err_act) if (psb_errstatus_fatal()) then info = psb_err_internal_error_ ; goto 9999 @@ -129,9 +128,9 @@ Subroutine psb_lz_remote_mat(a,desc_a,b,info) call b%free() - - Allocate(brvindx(np+1),& - & rvsz(np),sdsz(np),bsdindx(np+1), acoo,stat=info) + + Allocate(rvsz(np),sdsz(np),sdsi(np),rvsi(np),brvindx(np+1),& + & bsdindx(np+1), acoo,stat=info) if (info /= psb_success_) then info=psb_err_alloc_dealloc_ @@ -140,71 +139,94 @@ Subroutine psb_lz_remote_mat(a,desc_a,b,info) end if - nz = a%get_nzeros() - allocate(ila(nz)) - write(0,*) me,name,' size :',nz,size(ila) - call desc_a%g2l(a%ia(1:nz),ila(1:nz),info,owned=.false.) - nouth = count(ila(1:nz)<0) - write(0,*) me,name,' Count out of halo :',nouth - call psb_max(ctxt,nouth) - if ((nouth/=0).and.(me==0)) & - & write(0,*) 'Warning: would require reinit of DESC_A' - - call psi_graph_fnd_owner(a%ia(1:nz),iprc,ladj,desc_a%indxmap,info) - call psb_msort_unique(ladj,nnp) - write(0,*) me,name,' Processes:',ladj(1:nnp) + nz = a%get_nzeros() + allocate(ila(nz)) + !write(0,*) me,name,' size :',nz,size(ila) + call desc_a%g2l(a%ia(1:nz),ila(1:nz),info,owned=.false.) + nouth = count(ila(1:nz)<0) + !write(0,*) me,name,' Count out of halo :',nouth + call psb_max(ctxt,nouth) + if ((nouth/=0).and.(me==0)) & + & write(0,*) 'Warning: would require reinit of DESC_A' - icomm = desc_a%get_mpic() - Allocate(brvindx(np+1),& - & rvsz(np),sdsz(np),bsdindx(np+1), stat=info) - sdsz(:)=0 - rvsz(:)=0 - ipx = 1 - brvindx(ipx) = 0 - bsdindx(ipx) = 0 - counter=1 - idx = 0 - idxs = 0 - idxr = 0 - do i=1,nz - if (iprc(i) >=0) then - sdsz(iprc(i)+1) = sdsz(iprc(i)+1) +1 - else - write(0,*)me,name,' Error from fnd_owner: ',iprc(i) - end if - end do - call mpi_alltoall(sdsz,1,psb_mpi_mpk_,& - & rvsz,1,psb_mpi_mpk_,icomm,minfo) - if (minfo /= psb_success_) then - info=psb_err_from_subroutine_ - call psb_errpush(info,name,a_err='mpi_alltoall') - goto 9999 - end if - write(0,*)me,name,' sdsz ',sdsz(:),' rvsz:',rvsz(:) - nsnds = count(sdsz /= 0) - nrcvs = count(rvsz /= 0) - idxs = 0 - idxr = 0 - counter = 1 - + call psi_graph_fnd_owner(a%ia(1:nz),iprc,ladj,desc_a%indxmap,info) + call psb_msort_unique(ladj,nnp) + !write(0,*) me,name,' Processes:',ladj(1:nnp) - - - lnnz = max(iszr,iszs,lone) - lnc = a%get_ncols() - call acoo%allocate(lnr,lnc,lnnz) + icomm = desc_a%get_mpic() + sdsz(:)=0 + rvsz(:)=0 + sdsi(:)=0 + rvsi(:)=0 + ipx = 1 + brvindx(:) = 0 + bsdindx(:) = 0 + counter=1 + idx = 0 + idxs = 0 + idxr = 0 + do i=1,nz + if (iprc(i) >=0) then + sdsz(iprc(i)+1) = sdsz(iprc(i)+1) +1 + else + write(0,*)me,name,' Error from fnd_owner: ',iprc(i) + end if + end do + call mpi_alltoall(sdsz,1,psb_mpi_mpk_,& + & rvsz,1,psb_mpi_mpk_,icomm,minfo) + if (minfo /= psb_success_) then + info=psb_err_from_subroutine_ + call psb_errpush(info,name,a_err='mpi_alltoall') + goto 9999 + end if + !write(0,*)me,name,' sdsz ',sdsz(:),' rvsz:',rvsz(:) + nsnds = count(sdsz /= 0) + nrcvs = count(rvsz /= 0) + idxs = 0 + idxr = 0 + counter = 1 + Do proc=0,np-1 + bsdindx(proc+1) = idxs + idxs = idxs + sdsz(proc+1) + brvindx(proc+1) = idxr + idxr = idxr + rvsz(proc+1) + Enddo + + iszs = sum(sdsz) + iszr = sum(rvsz) + call acoo%allocate(desc_a%get_global_rows(),desc_a%get_global_cols(),iszr) + if (psb_errstatus_fatal()) then + write(0,*) 'Error from acoo%allocate ' + info = 4010 + goto 9999 + end if if (debug_level >= psb_debug_outer_)& & write(debug_unit,*) me,' ',trim(name),': Sizes:',acoo%get_size(),& & ' Send:',sdsz(:),' Receive:',rvsz(:) - + !write(debug_unit,*) me,' ',trim(name),': ',info if (info == psb_success_) call psb_ensure_size(max(iszs,1),iasnd,info) + !write(debug_unit,*) me,' ',trim(name),' iasnd: ',info if (info == psb_success_) call psb_ensure_size(max(iszs,1),jasnd,info) + !write(debug_unit,*) me,' ',trim(name),' jasnd: ',info if (info == psb_success_) call psb_ensure_size(max(iszs,1),valsnd,info) + !write(debug_unit,*) me,' ',trim(name),' valsnd: ',info if (info /= psb_success_) then info=psb_err_from_subroutine_ call psb_errpush(info,name,a_err='ensure_size') goto 9999 end if + do k=1, nz + proc = iprc(k) + sdsi(proc+1) = sdsi(proc+1) + 1 + !rvsi(proc) = rvsi(proc) + 1 + iasnd(bsdindx(proc+1)+sdsi(proc+1)) = a%ia(k) + jasnd(bsdindx(proc+1)+sdsi(proc+1)) = a%ja(k) + valsnd(bsdindx(proc+1)+sdsi(proc+1)) = a%val(k) + end do + do proc=0,np-1 + if (sdsi(proc+1) /= sdsz(proc+1)) & + & write(0,*) me,name,'Send mismacth ',sdsi(proc+1),sdsz(proc+1) + end do select case(psb_get_sp_a2av_alg()) case(psb_sp_a2av_smpl_triad_) @@ -218,7 +240,7 @@ Subroutine psb_lz_remote_mat(a,desc_a,b,info) if (info == psb_success_) call psb_simple_a2av(jasnd,sdsz,bsdindx,& & acoo%ja,rvsz,brvindx,ctxt,info) case(psb_sp_a2av_mpi_) - + call mpi_alltoallv(valsnd,sdsz,bsdindx,psb_mpi_c_dpk_,& & acoo%val,rvsz,brvindx,psb_mpi_c_dpk_,icomm,minfo) if (minfo == mpi_success) & @@ -239,10 +261,9 @@ Subroutine psb_lz_remote_mat(a,desc_a,b,info) call psb_errpush(info,name,a_err='alltoallv') goto 9999 end if - + call acoo%set_nzeros(iszr) call acoo%mv_to_coo(b,info) - - + Deallocate(brvindx,bsdindx,rvsz,sdsz,& & iasnd,jasnd,valsnd,stat=info) if (debug_level >= psb_debug_outer_)& diff --git a/base/tools/psb_zspalloc.f90 b/base/tools/psb_zspalloc.f90 index 1d76d66c..3b0fc7d2 100644 --- a/base/tools/psb_zspalloc.f90 +++ b/base/tools/psb_zspalloc.f90 @@ -114,16 +114,16 @@ subroutine psb_zspalloc(a, desc_a, info, nnz, bldmode) goto 9999 end if - write(0,*) name,'Setting a%remote_build ',& - & bldmode_,psb_matbld_noremote_,psb_matbld_remote_ +!!$ write(0,*) name,'Setting a%remote_build ',& +!!$ & bldmode_,psb_matbld_noremote_,psb_matbld_remote_ a%remote_build = bldmode_ select case(a%remote_build) case (psb_matbld_noremote_) ! nothing needed - write(0,*) name,' matbld_noremote_ nothing needed' + !write(0,*) name,' matbld_noremote_ nothing needed' case (psb_matbld_remote_) - write(0,*) name,' matbld_remote_ start ' + !write(0,*) name,' matbld_remote_ start ' allocate(a%rmta) nnzrmt_ = max(100,(nnz_/100)) call a%rmta%allocate(m,n,nnzrmt_) diff --git a/base/tools/psb_zspasb.f90 b/base/tools/psb_zspasb.f90 index 67353739..d92daa2c 100644 --- a/base/tools/psb_zspasb.f90 +++ b/base/tools/psb_zspasb.f90 @@ -106,26 +106,38 @@ subroutine psb_zspasb(a,desc_a, info, afmt, upd, dupl, mold) ! First case: we come from a fresh build. ! - n_row = desc_a%get_local_rows() - n_col = desc_a%get_local_cols() - call a%set_nrows(n_row) - call a%set_ncols(n_col) - end if - - if (a%is_bld()) then - select case(a%remote_build) case (psb_matbld_noremote_) ! nothing needed case (psb_matbld_remote_) - write(0,*) me,name,' Size of rmta:',a%rmta%get_nzeros() + !write(0,*) me,name,' Size of rmta:',a%rmta%get_nzeros() block type(psb_lz_coo_sparse_mat) :: a_add - + integer(psb_ipk_), allocatable :: ila(:), jla(:) + integer(psb_ipk_) :: nz, nzt,k call psb_remote_mat(a%rmta,desc_a,a_add,info) - - end block + nz = a_add%get_nzeros() +!!$ write(0,*) me,name,' Nz to be added',nz + nzt = nz + call psb_sum(ctxt,nzt) + if (nzt>0) call psb_cd_reinit(desc_a, info) + if (nz > 0) then + ! + ! Should we check for new indices here? + ! + call psb_realloc(nz,ila,info) + call psb_realloc(nz,jla,info) + call desc_a%indxmap%g2l(a_add%ia(1:nz),ila(1:nz),info,owned=.true.) + if (info == 0) call desc_a%indxmap%g2l_ins(a_add%ja(1:nz),jla(1:nz),info) + !write(0,*) me,name,' Check before insert',a%get_nzeros() + n_row = desc_a%get_local_rows() + n_col = desc_a%get_local_cols() + call a%csput(nz,ila,jla,a_add%val,ione,n_row,ione,n_col,info) + !write(0,*) me,name,' Check after insert',a%get_nzeros(),nz + end if + if (nzt > 0) call psb_cdasb(desc_a,info) + end block end select call a%cscnv(info,type=afmt,dupl=dupl, mold=mold) diff --git a/base/tools/psb_zspins.F90 b/base/tools/psb_zspins.F90 index 2a654e14..835a4d04 100644 --- a/base/tools/psb_zspins.F90 +++ b/base/tools/psb_zspins.F90 @@ -164,9 +164,9 @@ subroutine psb_zspins(nz,ia,ja,val,a,desc_a,info,rebuild,local) do i=1,nz if (ila(i)<0) then k=k+1 - lila(k) = ia(k) - ljla(k) = ja(k) - lval(k) = val(k) + lila(k) = ia(i) + ljla(k) = ja(i) + lval(k) = val(i) end if end do if (k /= nnl) write(0,*) name,' Wrong conversion?',k,nnl diff --git a/test/pargen/psb_d_pde3d.F90 b/test/pargen/psb_d_pde3d.F90 index 483e6d9c..2384d410 100644 --- a/test/pargen/psb_d_pde3d.F90 +++ b/test/pargen/psb_d_pde3d.F90 @@ -679,9 +679,9 @@ contains t1 = psb_wtime() if (info == psb_success_) then if (present(amold)) then - call psb_spasb(a,desc_a,info,dupl=psb_dupl_err_,mold=amold) + call psb_spasb(a,desc_a,info,dupl=psb_dupl_add_,mold=amold) else - call psb_spasb(a,desc_a,info,dupl=psb_dupl_err_,afmt=afmt) + call psb_spasb(a,desc_a,info,dupl=psb_dupl_add_,afmt=afmt) end if end if call psb_barrier(ctxt) diff --git a/test/pargen/psb_s_pde3d.F90 b/test/pargen/psb_s_pde3d.F90 index b27f8818..96dbd5db 100644 --- a/test/pargen/psb_s_pde3d.F90 +++ b/test/pargen/psb_s_pde3d.F90 @@ -679,9 +679,9 @@ contains t1 = psb_wtime() if (info == psb_success_) then if (present(amold)) then - call psb_spasb(a,desc_a,info,dupl=psb_dupl_err_,mold=amold) + call psb_spasb(a,desc_a,info,dupl=psb_dupl_add_,mold=amold) else - call psb_spasb(a,desc_a,info,dupl=psb_dupl_err_,afmt=afmt) + call psb_spasb(a,desc_a,info,dupl=psb_dupl_add_,afmt=afmt) end if end if call psb_barrier(ctxt) From 7d150e2eca2eea0cfabea3757eb3cfa4f7b453d8 Mon Sep 17 00:00:00 2001 From: Salvatore Filippone Date: Sun, 6 Feb 2022 18:34:43 +0100 Subject: [PATCH 05/28] Fix assembly procedure for remote build --- base/tools/psb_cspasb.f90 | 1 + base/tools/psb_dspasb.f90 | 1 + base/tools/psb_sspasb.f90 | 1 + base/tools/psb_zspasb.f90 | 1 + 4 files changed, 4 insertions(+) diff --git a/base/tools/psb_cspasb.f90 b/base/tools/psb_cspasb.f90 index 99c8990e..6cec5fa7 100644 --- a/base/tools/psb_cspasb.f90 +++ b/base/tools/psb_cspasb.f90 @@ -139,6 +139,7 @@ subroutine psb_cspasb(a,desc_a, info, afmt, upd, dupl, mold) end block end select + call a%set_ncols(desc_a%get_local_cols()) call a%cscnv(info,type=afmt,dupl=dupl, mold=mold) else if (a%is_upd()) then diff --git a/base/tools/psb_dspasb.f90 b/base/tools/psb_dspasb.f90 index c9d3cd08..422a8661 100644 --- a/base/tools/psb_dspasb.f90 +++ b/base/tools/psb_dspasb.f90 @@ -139,6 +139,7 @@ subroutine psb_dspasb(a,desc_a, info, afmt, upd, dupl, mold) end block end select + call a%set_ncols(desc_a%get_local_cols()) call a%cscnv(info,type=afmt,dupl=dupl, mold=mold) else if (a%is_upd()) then diff --git a/base/tools/psb_sspasb.f90 b/base/tools/psb_sspasb.f90 index 9249c59c..d6de2136 100644 --- a/base/tools/psb_sspasb.f90 +++ b/base/tools/psb_sspasb.f90 @@ -139,6 +139,7 @@ subroutine psb_sspasb(a,desc_a, info, afmt, upd, dupl, mold) end block end select + call a%set_ncols(desc_a%get_local_cols()) call a%cscnv(info,type=afmt,dupl=dupl, mold=mold) else if (a%is_upd()) then diff --git a/base/tools/psb_zspasb.f90 b/base/tools/psb_zspasb.f90 index d92daa2c..b343426d 100644 --- a/base/tools/psb_zspasb.f90 +++ b/base/tools/psb_zspasb.f90 @@ -139,6 +139,7 @@ subroutine psb_zspasb(a,desc_a, info, afmt, upd, dupl, mold) end block end select + call a%set_ncols(desc_a%get_local_cols()) call a%cscnv(info,type=afmt,dupl=dupl, mold=mold) else if (a%is_upd()) then From 4a7f9d786d60746547e2249bd1f8409b6b818ac8 Mon Sep 17 00:00:00 2001 From: Salvatore Filippone Date: Mon, 7 Feb 2022 09:10:30 +0100 Subject: [PATCH 06/28] Keep track of inner integer class for descriptor reassembly --- base/tools/psb_cspasb.f90 | 9 +++++++-- base/tools/psb_dspasb.f90 | 9 +++++++-- base/tools/psb_sspasb.f90 | 9 +++++++-- base/tools/psb_zspasb.f90 | 9 +++++++-- 4 files changed, 28 insertions(+), 8 deletions(-) diff --git a/base/tools/psb_cspasb.f90 b/base/tools/psb_cspasb.f90 index 6cec5fa7..390bdcaf 100644 --- a/base/tools/psb_cspasb.f90 +++ b/base/tools/psb_cspasb.f90 @@ -68,6 +68,7 @@ subroutine psb_cspasb(a,desc_a, info, afmt, upd, dupl, mold) integer(psb_ipk_) :: n_row,n_col integer(psb_ipk_) :: debug_level, debug_unit character(len=20) :: name, ch_err + class(psb_i_base_vect_type), allocatable :: ivm info = psb_success_ name = 'psb_spasb' @@ -120,7 +121,10 @@ subroutine psb_cspasb(a,desc_a, info, afmt, upd, dupl, mold) !!$ write(0,*) me,name,' Nz to be added',nz nzt = nz call psb_sum(ctxt,nzt) - if (nzt>0) call psb_cd_reinit(desc_a, info) + if (nzt>0) then + allocate(ivm, mold=desc_a%v_halo_index%v) + call psb_cd_reinit(desc_a, info) + end if if (nz > 0) then ! ! Should we check for new indices here? @@ -132,10 +136,11 @@ subroutine psb_cspasb(a,desc_a, info, afmt, upd, dupl, mold) !write(0,*) me,name,' Check before insert',a%get_nzeros() n_row = desc_a%get_local_rows() n_col = desc_a%get_local_cols() + call a%set_ncols(desc_a%get_local_cols()) call a%csput(nz,ila,jla,a_add%val,ione,n_row,ione,n_col,info) !write(0,*) me,name,' Check after insert',a%get_nzeros(),nz end if - if (nzt > 0) call psb_cdasb(desc_a,info) + if (nzt > 0) call psb_cdasb(desc_a,info,mold=ivm) end block end select diff --git a/base/tools/psb_dspasb.f90 b/base/tools/psb_dspasb.f90 index 422a8661..d82f5efe 100644 --- a/base/tools/psb_dspasb.f90 +++ b/base/tools/psb_dspasb.f90 @@ -68,6 +68,7 @@ subroutine psb_dspasb(a,desc_a, info, afmt, upd, dupl, mold) integer(psb_ipk_) :: n_row,n_col integer(psb_ipk_) :: debug_level, debug_unit character(len=20) :: name, ch_err + class(psb_i_base_vect_type), allocatable :: ivm info = psb_success_ name = 'psb_spasb' @@ -120,7 +121,10 @@ subroutine psb_dspasb(a,desc_a, info, afmt, upd, dupl, mold) !!$ write(0,*) me,name,' Nz to be added',nz nzt = nz call psb_sum(ctxt,nzt) - if (nzt>0) call psb_cd_reinit(desc_a, info) + if (nzt>0) then + allocate(ivm, mold=desc_a%v_halo_index%v) + call psb_cd_reinit(desc_a, info) + end if if (nz > 0) then ! ! Should we check for new indices here? @@ -132,10 +136,11 @@ subroutine psb_dspasb(a,desc_a, info, afmt, upd, dupl, mold) !write(0,*) me,name,' Check before insert',a%get_nzeros() n_row = desc_a%get_local_rows() n_col = desc_a%get_local_cols() + call a%set_ncols(desc_a%get_local_cols()) call a%csput(nz,ila,jla,a_add%val,ione,n_row,ione,n_col,info) !write(0,*) me,name,' Check after insert',a%get_nzeros(),nz end if - if (nzt > 0) call psb_cdasb(desc_a,info) + if (nzt > 0) call psb_cdasb(desc_a,info,mold=ivm) end block end select diff --git a/base/tools/psb_sspasb.f90 b/base/tools/psb_sspasb.f90 index d6de2136..87372d01 100644 --- a/base/tools/psb_sspasb.f90 +++ b/base/tools/psb_sspasb.f90 @@ -68,6 +68,7 @@ subroutine psb_sspasb(a,desc_a, info, afmt, upd, dupl, mold) integer(psb_ipk_) :: n_row,n_col integer(psb_ipk_) :: debug_level, debug_unit character(len=20) :: name, ch_err + class(psb_i_base_vect_type), allocatable :: ivm info = psb_success_ name = 'psb_spasb' @@ -120,7 +121,10 @@ subroutine psb_sspasb(a,desc_a, info, afmt, upd, dupl, mold) !!$ write(0,*) me,name,' Nz to be added',nz nzt = nz call psb_sum(ctxt,nzt) - if (nzt>0) call psb_cd_reinit(desc_a, info) + if (nzt>0) then + allocate(ivm, mold=desc_a%v_halo_index%v) + call psb_cd_reinit(desc_a, info) + end if if (nz > 0) then ! ! Should we check for new indices here? @@ -132,10 +136,11 @@ subroutine psb_sspasb(a,desc_a, info, afmt, upd, dupl, mold) !write(0,*) me,name,' Check before insert',a%get_nzeros() n_row = desc_a%get_local_rows() n_col = desc_a%get_local_cols() + call a%set_ncols(desc_a%get_local_cols()) call a%csput(nz,ila,jla,a_add%val,ione,n_row,ione,n_col,info) !write(0,*) me,name,' Check after insert',a%get_nzeros(),nz end if - if (nzt > 0) call psb_cdasb(desc_a,info) + if (nzt > 0) call psb_cdasb(desc_a,info,mold=ivm) end block end select diff --git a/base/tools/psb_zspasb.f90 b/base/tools/psb_zspasb.f90 index b343426d..9c42ae85 100644 --- a/base/tools/psb_zspasb.f90 +++ b/base/tools/psb_zspasb.f90 @@ -68,6 +68,7 @@ subroutine psb_zspasb(a,desc_a, info, afmt, upd, dupl, mold) integer(psb_ipk_) :: n_row,n_col integer(psb_ipk_) :: debug_level, debug_unit character(len=20) :: name, ch_err + class(psb_i_base_vect_type), allocatable :: ivm info = psb_success_ name = 'psb_spasb' @@ -120,7 +121,10 @@ subroutine psb_zspasb(a,desc_a, info, afmt, upd, dupl, mold) !!$ write(0,*) me,name,' Nz to be added',nz nzt = nz call psb_sum(ctxt,nzt) - if (nzt>0) call psb_cd_reinit(desc_a, info) + if (nzt>0) then + allocate(ivm, mold=desc_a%v_halo_index%v) + call psb_cd_reinit(desc_a, info) + end if if (nz > 0) then ! ! Should we check for new indices here? @@ -132,10 +136,11 @@ subroutine psb_zspasb(a,desc_a, info, afmt, upd, dupl, mold) !write(0,*) me,name,' Check before insert',a%get_nzeros() n_row = desc_a%get_local_rows() n_col = desc_a%get_local_cols() + call a%set_ncols(desc_a%get_local_cols()) call a%csput(nz,ila,jla,a_add%val,ione,n_row,ione,n_col,info) !write(0,*) me,name,' Check after insert',a%get_nzeros(),nz end if - if (nzt > 0) call psb_cdasb(desc_a,info) + if (nzt > 0) call psb_cdasb(desc_a,info,mold=ivm) end block end select From fef69bf799088d1ad42e1eac44b845ebc3f735ef Mon Sep 17 00:00:00 2001 From: Salvatore Filippone Date: Mon, 7 Feb 2022 16:54:37 +0100 Subject: [PATCH 07/28] Update docs for remote build. --- docs/html/index.html | 2 +- docs/html/userhtml.html | 2 +- docs/html/userhtmlsu36.html | 35 +- docs/html/userhtmlsu37.html | 14 +- docs/html/userhtmlsu38.html | 27 +- docs/html/userhtmlsu39.html | 12 +- docs/html/userhtmlsu40.html | 14 +- docs/html/userhtmlsu41.html | 12 +- docs/html/userhtmlsu42.html | 14 +- docs/html/userhtmlsu43.html | 12 +- docs/html/userhtmlsu44.html | 12 +- docs/html/userhtmlsu45.html | 12 +- docs/html/userhtmlsu46.html | 14 +- docs/html/userhtmlsu47.html | 12 +- docs/html/userhtmlsu48.html | 14 +- docs/html/userhtmlsu49.html | 14 +- docs/html/userhtmlsu50.html | 14 +- docs/html/userhtmlsu51.html | 14 +- docs/html/userhtmlsu52.html | 14 +- docs/html/userhtmlsu53.html | 14 +- docs/html/userhtmlsu54.html | 14 +- docs/html/userhtmlsu55.html | 12 +- docs/html/userhtmlsu56.html | 16 +- docs/psblas-3.7.pdf | 3101 ++++++++++++++++++----------------- docs/src/toolsrout.tex | 19 +- docs/src/userguide.tex | 4 +- docs/src/userhtml.tex | 2 +- 27 files changed, 1753 insertions(+), 1693 deletions(-) diff --git a/docs/html/index.html b/docs/html/index.html index 2906d9ce..ece52ac5 100644 --- a/docs/html/index.html +++ b/docs/html/index.html @@ -21,7 +21,7 @@ class="cmbx-10">Salvatore Filippone
Alfredo Buttari
Software version: 3.7.0.1
May 11th, 2021 +class="newline" />Feb 14th, 2022 diff --git a/docs/html/userhtml.html b/docs/html/userhtml.html index 2906d9ce..ece52ac5 100644 --- a/docs/html/userhtml.html +++ b/docs/html/userhtml.html @@ -21,7 +21,7 @@ class="cmbx-10">Salvatore Filippone
Alfredo Buttari
Software version: 3.7.0.1
May 11th, 2021 +class="newline" />Feb 14th, 2022 diff --git a/docs/html/userhtmlsu36.html b/docs/html/userhtmlsu36.html index 9616adcb..dfb56550 100644 --- a/docs/html/userhtmlsu36.html +++ b/docs/html/userhtmlsu36.html @@ -22,7 +22,7 @@ href="userhtmlsu32.html#userhtmlsu39.html" >up] 

-call psb_spall(a, desc_a, info, nnz)
+call psb_spall(a, desc_a, info, nnz, buildmode)

@@ -61,8 +61,25 @@ class="newline" />Type: optional.
Intent: in.
Specified as: an integer value. -

+class="newline" />Specified as: an integer value. +

+buildmode
Whether to keep track of matrix entries that do not belong to the + current process.
Scope: global.
Type: optional.
Intent: in.
Specified as: + an integer value psb_matbld_noremote_, psb_matbld_remote_. Default: + psb_matbld_noremote_.
+

On Return
psb_Tspmat_type. + + +
info
required
Intent: out.
An integer value; 0 means no error has been detected.
-

Notes

  1. On exit from this routine the sparse matrix is in the build state. - - -
  2. The descriptor may be in either the build or assembled state. @@ -117,12 +134,12 @@ class="cmmi-10">nnz in the -

    [

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    -

    diff --git a/docs/html/userhtmlsu37.html b/docs/html/userhtmlsu37.html index 709c8830..fb699ebb 100644 --- a/docs/html/userhtmlsu37.html +++ b/docs/html/userhtmlsu37.html @@ -10,7 +10,7 @@ -

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    call psb_spins(nz, ia, ja, val, a, desc_a, info [,local]) call psb_spins(nr, irw, irp, ja, val, a, desc_a, info [,local]) -

    -

    +

    +

    Type:
    optional.
    Specified as: a logical value; default: .false..
    -

    +

    On Return
    required
    Intent: out.
    An integer value; 0 means no error has been detected.
    -

    Notes

    1. -1 should be one of the local indices, but are otherwise -

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      -

      diff --git a/docs/html/userhtmlsu38.html b/docs/html/userhtmlsu38.html index c254d15a..f7e618aa 100644 --- a/docs/html/userhtmlsu38.html +++ b/docs/html/userhtmlsu38.html @@ -10,7 +10,7 @@ -

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       call psb_spasb(a, desc_a, info, afmt, upd, dupl, mold)
      -

      -

      +

      +

      Type:
      local.
      Type:required.
      Intent: in.
      in/out.
      Specified as: a structured data of type psb_T_base_sparse_mat.
      -

      +

      @@ -140,7 +140,7 @@ class="cmbx-10">required
      Intent: out.
      An integer value; 0 means no error has been detected. -

      Notes

      1. psb_spins
      2. On exit from this routine the matrix is in the assembled state, and thus - is suitable for the computational routines.
      + is suitable for the computational routines; +
      2. +
    2. If the buildmode=psb_matbld_remote_ value was specified at allocation + time, contributions defined on the current process but belonging to a + remote process will be handled accordingly. This is most likely to occur + in finite element applications, with dupl=psb_dupl_add_; note that the + descriptor will be updated, and there will be a runtime overhead.
    -

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    -

    diff --git a/docs/html/userhtmlsu39.html b/docs/html/userhtmlsu39.html index db1b8f75..61e3d279 100644 --- a/docs/html/userhtmlsu39.html +++ b/docs/html/userhtmlsu39.html @@ -10,7 +10,7 @@ -

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     call psb_spfree(a, desc_a, info)
    -

    -

    +

    +

    Type:
    psb_desc_type.
    -

    +

    On Return
    An integer value; 0 means no error has been detected.

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    -

    diff --git a/docs/html/userhtmlsu40.html b/docs/html/userhtmlsu40.html index 1cff4439..22c71a9e 100644 --- a/docs/html/userhtmlsu40.html +++ b/docs/html/userhtmlsu40.html @@ -10,7 +10,7 @@ -

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     call psb_sprn(a, decsc_a, info, clear)
    -

    -

    +

    +

    Type:
    optional.
    Intent: in.
    Default: true.
    -

    +

    On Return
    required
    Intent: out.
    An integer value; 0 means no error has been detected.
    -

    Notes

    1. Notes -

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      -

      diff --git a/docs/html/userhtmlsu41.html b/docs/html/userhtmlsu41.html index b0478a11..2916d855 100644 --- a/docs/html/userhtmlsu41.html +++ b/docs/html/userhtmlsu41.html @@ -10,7 +10,7 @@ -

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       call psb_geall(x, desc_a, info, n, lb)
      -

      -

      +

      +

      Type:
      in.
      Specified as: Integer scalar, default 1. It is not a valid argument if x is a rank-1 array.
      -

      +

      On Return
      An integer value; 0 means no error has been detected.

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      -

      diff --git a/docs/html/userhtmlsu42.html b/docs/html/userhtmlsu42.html index d99372bc..da55f0ec 100644 --- a/docs/html/userhtmlsu42.html +++ b/docs/html/userhtmlsu42.html @@ -10,7 +10,7 @@ -

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       call psb_geins(m, irw, val, x, desc_a, info [,dupl,local])
      -

      -

      +

      +

      Type:
      optional.
      Specified as: a logical value; default: .false..
      -

      +

      On Return
      required
      Intent: out.
      An integer value; 0 means no error has been detected.
      -

      Notes

      1. Notes -

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        -

        diff --git a/docs/html/userhtmlsu43.html b/docs/html/userhtmlsu43.html index 084b019a..7d0747a5 100644 --- a/docs/html/userhtmlsu43.html +++ b/docs/html/userhtmlsu43.html @@ -10,7 +10,7 @@ -

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         call psb_geasb(x, desc_a, info, mold)
        -

        -

        +

        +

        Type:
        psb_T_vect_type.
        -

        +

        On Return
        An integer value; 0 means no error has been detected.

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        -

        diff --git a/docs/html/userhtmlsu44.html b/docs/html/userhtmlsu44.html index de7bf716..b051f688 100644 --- a/docs/html/userhtmlsu44.html +++ b/docs/html/userhtmlsu44.html @@ -10,7 +10,7 @@ -

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         call psb_gefree(x, desc_a, info)
        -

        -

        +

        +

        Type:
        psb_desc_type.
        -

        +

        On Return
        An integer value; 0 means no error has been detected.

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        -

        diff --git a/docs/html/userhtmlsu45.html b/docs/html/userhtmlsu45.html index 19d5c86b..e22552f7 100644 --- a/docs/html/userhtmlsu45.html +++ b/docs/html/userhtmlsu45.html @@ -10,7 +10,7 @@ -

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         call psb_gelp(trans, iperm, x, info)
        -

        -

        +

        +

        Type:
        Intent: inout.
        Specified as: a one or two dimensional array.
        -

        +

        On Return
        An integer value; 0 means no error has been detected.

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        -

        diff --git a/docs/html/userhtmlsu46.html b/docs/html/userhtmlsu46.html index 00068b93..93539c7f 100644 --- a/docs/html/userhtmlsu46.html +++ b/docs/html/userhtmlsu46.html @@ -10,7 +10,7 @@ -

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        call psb_glob_to_loc(x, y, desc_a, info, iact,owned) call psb_glob_to_loc(x, desc_a, info, iact,owned) -

        -

        +

        +

        Type:
        Intent: in.
        If true, then only indices strictly owned by the current process are considered valid, if false then halo indices are also accepted. Default: false.
        -

        +

        On Return
        required
        Intent: out.
        An integer value; 0 means no error has been detected.
        -

        Notes

        1. Ignore means that the negative output is th -

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          -

          diff --git a/docs/html/userhtmlsu47.html b/docs/html/userhtmlsu47.html index 1d89e7a0..b4d86706 100644 --- a/docs/html/userhtmlsu47.html +++ b/docs/html/userhtmlsu47.html @@ -10,7 +10,7 @@ -

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          call psb_loc_to_glob(x, y, desc_a, info, iact) call psb_loc_to_glob(x, desc_a, info, iact) -

          -

          +

          +

          Type:
          Ignore, Warning or Abort, default Ignore.
          -

          +

          On Return
          An integer value; 0 means no error has been detected.

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          -

          diff --git a/docs/html/userhtmlsu48.html b/docs/html/userhtmlsu48.html index fc243c86..d1214918 100644 --- a/docs/html/userhtmlsu48.html +++ b/docs/html/userhtmlsu48.html @@ -10,7 +10,7 @@ -

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           call psb_is_owned(x, desc_a)
          -

          -

          +

          +

          Type:
          psb_desc_type.
          -

          +

          On Return
          required
          Intent: out.
          -

          Notes

          1. .true. value for an index that is strictly -

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            -

            diff --git a/docs/html/userhtmlsu49.html b/docs/html/userhtmlsu49.html index e29e9031..4fc676ed 100644 --- a/docs/html/userhtmlsu49.html +++ b/docs/html/userhtmlsu49.html @@ -10,7 +10,7 @@ -

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             call psb_owned_index(y, x, desc_a, info)
            -

            -

            +

            +

            Type:
            Ignore, Warning or Abort, default Ignore.
            -

            +

            On Return
            An integer value; 0 means no error has been detected.

            Notes

            1. .true. value for those indices that are str -

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              -

              diff --git a/docs/html/userhtmlsu50.html b/docs/html/userhtmlsu50.html index 93432b3f..463564d6 100644 --- a/docs/html/userhtmlsu50.html +++ b/docs/html/userhtmlsu50.html @@ -10,7 +10,7 @@ -

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               call psb_is_local(x, desc_a)
              -

              -

              +

              +

              Type:
              psb_desc_type.
              -

              +

              On Return
              required
              Intent: out.
              -

              Notes

              1. .true. value for an index that is local to -

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                -

                diff --git a/docs/html/userhtmlsu51.html b/docs/html/userhtmlsu51.html index 5ff3fcfb..d05f3354 100644 --- a/docs/html/userhtmlsu51.html +++ b/docs/html/userhtmlsu51.html @@ -10,7 +10,7 @@ -

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                 call psb_local_index(y, x, desc_a, info)
                -

                -

                +

                +

                Type:
                Ignore, Warning or Abort, default Ignore.
                -

                +

                On Return
                An integer value; 0 means no error has been detected.

                Notes

                1. .true. value for those indices that are loc -

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                  -

                  diff --git a/docs/html/userhtmlsu52.html b/docs/html/userhtmlsu52.html index 2b85296f..3764b5d4 100644 --- a/docs/html/userhtmlsu52.html +++ b/docs/html/userhtmlsu52.html @@ -10,7 +10,7 @@ -

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                   call psb_get_boundary(bndel, desc, info)
                  -

                  -

                  +

                  +

                  Type:
                  psb_desc_type.
                  -

                  +

                  On Return
                  required
                  Intent: out.
                  An integer value; 0 means no error has been detected.
                  -

                  Notes

                  1. bndel will be exactly equal to the nu -

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                    -

                    diff --git a/docs/html/userhtmlsu53.html b/docs/html/userhtmlsu53.html index 49860a9c..4667f4b7 100644 --- a/docs/html/userhtmlsu53.html +++ b/docs/html/userhtmlsu53.html @@ -10,7 +10,7 @@ -

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                     call psb_get_overlap(ovrel, desc, info)
                    -

                    -

                    +

                    +

                    Type:
                    psb_desc_type.
                    -

                    +

                    On Return
                    required
                    Intent: out.
                    An integer value; 0 means no error has been detected.
                    -

                    Notes

                    1. ovrel will be exactly equal to the number o -

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                      -

                      diff --git a/docs/html/userhtmlsu54.html b/docs/html/userhtmlsu54.html index 394b708f..9a3dd799 100644 --- a/docs/html/userhtmlsu54.html +++ b/docs/html/userhtmlsu54.html @@ -10,7 +10,7 @@ -

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                      call psb_sp_getrow(row, a, nz, ia, ja, val, info, &               & append, nzin, lrw) -

                      -

                      +

                      +

                      Type:
                      row. -

                      +

                      On Return
                      required
                      Intent: out.
                      An integer value; 0 means no error has been detected.
                      -

                      Notes

                      1. psb_loc_to_glob routine on the output.
                        2. -

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                        -

                        diff --git a/docs/html/userhtmlsu55.html b/docs/html/userhtmlsu55.html index ddeb9e95..dc484592 100644 --- a/docs/html/userhtmlsu55.html +++ b/docs/html/userhtmlsu55.html @@ -10,7 +10,7 @@ -

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                        6.26 psb_sizeof — Memory occupation

                        -

                        This function computes the memory occupation of a PSBLAS object. +

                        This function computes the memory occupation of a PSBLAS object. @@ -27,8 +27,8 @@ isz = psb_sizeof(a) isz = psb_sizeof(desc_a) isz = psb_sizeof(prec) -

                        -

                        +

                        +

                        Type:
                        integer(psb_long_int_k_) number.
                        -

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                        -

                        diff --git a/docs/html/userhtmlsu56.html b/docs/html/userhtmlsu56.html index f6f2f2a7..993b5ba8 100644 --- a/docs/html/userhtmlsu56.html +++ b/docs/html/userhtmlsu56.html @@ -10,20 +10,20 @@ -

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                        6.27 Sorting utilities —

                        -

                        psb_msort — Sorting by the Merge-sort algorithm -

                        psb_qsort — Sorting by the Quicksort algorithm -

                        psb_hsort — Sorting by the Heapsort algorithm @@ -34,8 +34,8 @@ call psb_msort(x,ix,dir,flag) call psb_qsort(x,ix,dir,flag) call psb_hsort(x,ix,dir,flag) -

                        -

                        These serial routines sort a sequence

                        +

                        These serial routines sort a sequence X into ascending or descending order. The argument meaning is identical for the three calls; the only difference is the algorithm used to accomplish the task (see Usage Notes below). @@ -102,7 +102,7 @@ class="cmtt-10">psb_sort_keep_idx_; default psb_sort_ovw_idx_.

                      -

                      +

                      On Return
                      Optional
                      An integer array of rank 1, whose entries are moved to the same position as the corresponding entries in x.
                      -

                      Notes

                      1. > stream 0 g 0 G @@ -16974,7 +16974,7 @@ BT /F51 11.9552 Tf 151.016 706.129 Td [(spall)-250(\227)-250(Allocates)-250(a)-250(sparse)-250(matrix)]TJ 0 g 0 G 0 g 0 G -/F59 9.9626 Tf -51.121 -18.964 Td [(call)-525(psb_spall\050a,)-525(desc_a,)-525(info,)-525(nnz\051)]TJ +/F59 9.9626 Tf -51.121 -18.964 Td [(call)-525(psb_spall\050a,)-525(desc_a,)-525(info,)-525(nnz,)-525(buildmode\051)]TJ 0 g 0 G /F51 9.9626 Tf 0 -21.918 Td [(T)90(ype:)]TJ 0 g 0 G @@ -17016,34 +17016,38 @@ BT 0 g 0 G /F54 9.9626 Tf 22.137 0 Td [(An)-230(estimate)-230(of)-230(the)-230(number)-230(of)-231(nonzer)18(oes)-230(in)-230(the)-230(local)-230(part)-230(of)-230(the)-230(assembled)]TJ 2.77 -11.955 Td [(matrix.)]TJ 0 -11.956 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(global)]TJ/F54 9.9626 Tf 28.782 0 Td [(.)]TJ -60.214 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(optional)]TJ/F54 9.9626 Tf 38.187 0 Td [(.)]TJ -65.275 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(value.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.907 -21.918 Td [(On)-250(Return)]TJ +/F51 9.9626 Tf -24.907 -19.925 Td [(buildmode)]TJ 0 g 0 G +/F54 9.9626 Tf 55.343 0 Td [(Whether)-293(to)-293(keep)-293(track)-293(of)-293(matrix)-294(entries)-293(that)-293(do)-293(not)-293(belong)-293(to)-293(the)]TJ -30.436 -11.956 Td [(curr)18(ent)-250(pr)18(ocess.)]TJ 0 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(global)]TJ/F54 9.9626 Tf 28.782 0 Td [(.)]TJ -60.214 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(optional)]TJ/F54 9.9626 Tf 38.187 0 Td [(.)]TJ -65.275 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-190(as:)-280(an)-190(integer)-190(value)]TJ/F59 9.9626 Tf 128.287 0 Td [(psb_matbld_noremote_)]TJ/F54 9.9626 Tf 104.607 0 Td [(,)]TJ/F59 9.9626 Tf 4.503 0 Td [(psb_matbld_remote_)]TJ/F54 9.9626 Tf 94.146 0 Td [(.)]TJ -331.543 -11.955 Td [(Default:)]TJ/F59 9.9626 Tf 38.515 0 Td [(psb_matbld_noremote_)]TJ/F54 9.9626 Tf 104.607 0 Td [(.)]TJ +0 g 0 G +/F51 9.9626 Tf -168.029 -21.918 Td [(On)-250(Return)]TJ 0 g 0 G - 0 -19.925 Td [(a)]TJ 0 g 0 G -/F54 9.9626 Tf 9.963 0 Td [(the)-250(matrix)-250(to)-250(be)-250(allocated.)]TJ 14.944 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 28.343 0 Td [(local)]TJ/F54 9.9626 Tf -28.343 -11.956 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 24 0 Td [(required)]TJ/F54 9.9626 Tf -24 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ + 0 -19.926 Td [(a)]TJ +0 g 0 G +/F54 9.9626 Tf 9.963 0 Td [(the)-250(matrix)-250(to)-250(be)-250(allocated.)]TJ 14.944 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 28.343 0 Td [(local)]TJ/F54 9.9626 Tf -28.343 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 24 0 Td [(required)]TJ/F54 9.9626 Tf -24 -11.955 Td [(Intent:)]TJ/F51 9.9626 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[(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ/F51 11.9552 Tf -24.907 -21.918 Td [(Notes)]TJ +/F54 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.956 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ/F51 11.9552 Tf -24.907 -21.918 Td [(Notes)]TJ 0 g 0 G /F54 9.9626 Tf 12.454 -19.925 Td [(1.)]TJ 0 g 0 G @@ -17053,11 +17057,11 @@ BT 0 g 0 G [-500(The)-250(descriptor)-250(may)-250(be)-250(in)-250(either)-250(the)-250(build)-250(or)-250(assembled)-250(state.)]TJ 0 g 0 G - 0 -19.925 Td [(3.)]TJ + 0 -19.926 Td [(3.)]TJ 0 g 0 G 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=äñ= +=== øl= =========+=)=b======= =!="=#=$=%=&='=(]5]>=,=6=*6Ú=-=/=0=1=2=3=4=8===7S=9=<=?=@=A=H=>sR=B=C=D=E=F=G=J=K=V=I‹D=L=M=N=O=P=Q=R=S=T]6=U=X=Y=_=W¢ä=Z =`¶}=a]?   ë¢     +þp       ´  ]    2ì   &  N  ! $ , ']ð (]@ 1 -nQ . 6 2‚¤ 3 < 7”] 8 @ =¦! > B C J A¾† D I M Q KÜ… L]A S T W RíÈ Uó Y a _ Xü› Z ^ có `H bVôóóAMóóóó ó +ó ó óóóB(ó ]8óóóó^hó]Bóóóóóó óh óóó"ó%ó!…]ó#ó$ó'ó(ó)ó*ó+ó,ó0ó&”ó-ó/ó3ó1µó2ó5ó6ó7ó;ó4· ó8ó:ó?ó<Õó=ó>]CóAóBóCóGó@ßwóDóFóIóJóKóOóHøóLóNóSóPóQóRóUóVóWó[óTwóXóZó^ó\;@ó]ó`óaóbbó_=Äócb]D–ºb b†Šbbbbbb b +b bbbb —©bbbbbb¯ˆbbbbb!bÄÎb]7b b#b$b%b&b/b-b"Ú&b'b)b*b+b,b0b1b2b3b4b5b6b8b.ö¥b7]Eb:b@b>b9fb;b=bAbBbCbDbEbFbHb?,•bGbJbKbMbIIQbLbObPbQbRbSbTbUbYbN[KbVbXb\bZxpb[b^b_b`babbÑÑÑb]yçbcÑ]F©·ÑÑǤÑÑ Ñ +Ñ Ñ Ñ ÑÑÌéÑÑÑÑÑéhÑÑÑÑÑ&ÑÑìÑÑ1Ñ'Ñ*ÑÑ(Ñ)Ñ Ñ!Ñ"Ñ#Ñ$Ñ%ŒRûÑ-Ñ+€“Ñ,]GÑ/Ñ0Ñ1Ñ5Ñ.Œ¸Ñ2Ñ4Ñ7ÏrÑ8Ñ9Ñ>Ñ6ªTÑ:Ñ;Ñ<Ñ=ÑJÑAÑ?¿ØÑ@ÑKÑBÍôÑIÑCÑDÑEÑFÑGÑHÞÑMÑNÑOÑSÑL?ÑPÑRÑVÑT^ñÑU]HÑXÑ^Ñ\ÑWd·ÑYÑ[Ñ_Ñ`ÑbÑ]€þÑaDÑcËDSDDDÛ•DDD +D D ô“D ]1D DDÑDDDDDD]IDDD& DDD!DA¤DDDD D#D$D(D"M D%D'D*D+D.D)e.D,D0D3D/qËD1D5D6D9D4zD7]JD>D:‘ +D;D<D=D@DADGD?—DBDDDEDFDMDKDH­XDIDNDODVDL¨DPDQDRDSDTDUD_DWß4DXDYDZD[D\D]D^DaDb²D`ï-Dc]K5ʲ ²1²²²²²²² ² +² ²²² =6²²²²²I²²²²²²Xn²² ²!²$²k›²"²)²%…k²&²'²(]L²+²,²-²0²*‰Æ².²2²3²6²1™²4²:²7ªn²8²<²?²;·=²=²D²@ÏزA²B²C²F²I²EÒµ²G]M²K²O²JèD²L²N²Q²U²Pôá²R²T²W²[²VزX²Z²]²a²\`²^²`²c²b'NkÝ _Š  +]N  mI‚îô! Ì-"·#$%&'()*+,1.ÓÄ/]O72Ô¬356=8êo9;<D>ü?ABCHE ¦FLIJPM#ÕN]PTQ(•RXU.>V\Y3~Zb]D®^`a‰cXY‰‰‰ ˜÷‰ +‰Õ‰‰‰ ]Q‰‰ ¤\‰ ‰‰‰‰¸N‰‰‰‰‰Ì;‰‰‰]/‰‰"‰ä‰‰!‰'‰#ù'‰$‰&‰)‰*‰-‰( R‰+]R‰0‰1‰2‰. &ä‰/]0‰8‰3 A‰4‰6‰7‰>‰9 OG‰:‰<‰=‰D‰? T¶‰@‰B‰C‰J‰E Zè‰F‰H‰I‰N‰K c‰L]S‰P‰U‰O e>‰Q‰S‰T‰W‰\‰V wJ‰X‰Z‰[‰^‰c‰] Š×‰_‰a‰bööö ½vööö!ÆÌöö ö Í×ö ö ö ööö ÝÄööö]Töö î¸ööööö óJööö!ö"ö#ö$ö'ö !ö%ö*ö(!$ðö)ö,ö-ö.ö/ö2ö+!)*ö0ö4ö7ö3!?ö5]Uö;ö8!Mö9ö=ö>öAö<!Qö?öEöB![ÞöCöGöHöQöOöF!^?öIöKöLöMöNöRöSöTöVöP!~²öUöXöZöW!š}öY]Vö]ö[!¬Cö\] ö^!¬Ñö_ö`öb]]$D‚]] +!ñ™] ]]]]]]]]]]]].]]] !ý•]!"t]""%Ø]#"Ch]$"aÞ]%"ˆQ]&"פ]'"çÙ](#ù])#(V]*#8]+#”³],#÷¥]-]W]X]Y]Z][]\]]$†ð$­]“%“&“'“(“)“*“+“,“-“.“/“0“1“2“3“4“5“6“7“8“9“:“;“<“=“>“?“@“A“B“C“D“E“F“G“H“I“J“K“L“M“N“O“P“Q“R“S“T“U“V“W“X“Y“Z“[“\“]“^“_“`“a“b“cÔ$ì{ÔÔÔÔÔÔÔÔÔ Ô +Ô Ô Ô ÔÔÔÔÔÔÔÔÔÔÔÔÔÔÔÔÔÔÔ Ô!Ô"Ô#Ô$Ô%Ô&Ô'Ô(Ô)Ô*Ô+Ô,Ô-$ê[% ¾ endstream endobj startxref -2426125 +2428350 %%EOF diff --git a/docs/src/toolsrout.tex b/docs/src/toolsrout.tex index 95639b84..c2ec51ed 100644 --- a/docs/src/toolsrout.tex +++ b/docs/src/toolsrout.tex @@ -547,7 +547,7 @@ An integer value; 0 means no error has been detected. \clearpage\subsection{psb\_spall --- Allocates a sparse matrix} \begin{verbatim} -call psb_spall(a, desc_a, info, nnz) +call psb_spall(a, desc_a, info, nnz, buildmode) \end{verbatim} \begin{description} @@ -564,6 +564,13 @@ Scope: {\bf global}.\\ Type: {\bf optional}.\\ Intent: {\bf in}.\\ Specified as: an integer value. +\item[buildmode] Whether to keep track of matrix entries that do not + belong to the current process.\\ +Scope: {\bf global}.\\ +Type: {\bf optional}.\\ +Intent: {\bf in}.\\ +Specified as: an integer value \verb|psb_matbld_noremote_|, +\verb|psb_matbld_remote_|. Default: \verb|psb_matbld_noremote_|. \end{description} \begin{description} @@ -733,7 +740,7 @@ call psb_spasb(a, desc_a, info, afmt, upd, dupl, mold) \item[desc\_a] the communication descriptor.\\ Scope:{\bf local}.\\ Type:{\bf required}.\\ -Intent: {\bf in}.\\ +Intent: {\bf in/out}.\\ Specified as: a structured data of type \descdata. \item[afmt] the storage format for the sparse matrix.\\ Scope: {\bf local}.\\ @@ -787,7 +794,13 @@ An integer value; 0 means no error has been detected. \item The output storage format need not be the same on all processes; \item On exit from this routine the matrix is in the assembled state, - and thus is suitable for the computational routines. + and thus is suitable for the computational routines; +\item If the \verb|buildmode=psb_matbld_remote_| value was specified + at allocation time, contributions defined on the current process but + belonging to a remote process will be handled accordingly. This is + most likely to occur in finite element applications, with + \verb|dupl=psb_dupl_add_|; note that the descriptor will be updated, + and there will be a runtime overhead. \end{enumerate} diff --git a/docs/src/userguide.tex b/docs/src/userguide.tex index c95ddab6..c9e67456 100644 --- a/docs/src/userguide.tex +++ b/docs/src/userguide.tex @@ -109,7 +109,7 @@ \vspace*{\stretch{1}} \noindent\hspace*{\centeroffset}\makebox[0pt][l]{\begin{minipage}{\textwidth} \flushright -{\Huge\bfseries PSBLAS 3.7.0.1 User's guide +{\Huge\bfseries PSBLAS 3.7.0.2 User's guide } \noindent\rule[-1ex]{\textwidth}{5pt}\\[2.5ex] \hfill\emph{\Large A reference guide for the Parallel Sparse BLAS library} @@ -130,7 +130,7 @@ {\bfseries by Salvatore Filippone\\ and Alfredo Buttari}\\ -May 11th, 2021 +Feb 14th, 2022 \end{minipage}} } %\addtolength{\textwidth}{\centeroffset} diff --git a/docs/src/userhtml.tex b/docs/src/userhtml.tex index 09141e99..1d83d934 100644 --- a/docs/src/userhtml.tex +++ b/docs/src/userhtml.tex @@ -96,7 +96,7 @@ %\today Software version: 3.7.0.1\\ %\today -May 11th, 2021 +Feb 14th, 2022 \cleardoublepage \begingroup \renewcommand*{\thepage}{toc} From 3637c8f78a956ded46c4849e6d59df384e6739ac Mon Sep 17 00:00:00 2001 From: Salvatore Filippone Date: Wed, 9 Mar 2022 15:44:10 +0100 Subject: [PATCH 08/28] Take out update of adjacency list, doing it outside is more flexible --- base/internals/psi_graph_fnd_owner.F90 | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/base/internals/psi_graph_fnd_owner.F90 b/base/internals/psi_graph_fnd_owner.F90 index e3e7ec4f..c565498c 100644 --- a/base/internals/psi_graph_fnd_owner.F90 +++ b/base/internals/psi_graph_fnd_owner.F90 @@ -210,7 +210,7 @@ subroutine psi_graph_fnd_owner(idx,iprc,ladj,idxmap,info) if (trace.and.(me == 0)) write(0,*) ' Initial sweep on user-defined topology',& & nsampl_in call psi_adj_fnd_sweep(idx,iprc,ladj,idxmap,nsampl_in,n_answers) - !call idxmap%xtnd_p_adjcncy(ladj) + nqries = nv - n_answers nqries_max = nqries call psb_max(ctxt,nqries_max) From 1d3fa7c07dfd64678d660eff43734fe85af1e6b0 Mon Sep 17 00:00:00 2001 From: Salvatore Filippone Date: Wed, 9 Mar 2022 15:44:50 +0100 Subject: [PATCH 09/28] Docs update. --- docs/html/userhtmlsu36.html | 10 +- docs/html/userhtmlsu37.html | 14 +- docs/html/userhtmlsu38.html | 36 +- docs/html/userhtmlsu39.html | 12 +- docs/html/userhtmlsu40.html | 14 +- docs/html/userhtmlsu41.html | 12 +- docs/html/userhtmlsu42.html | 14 +- docs/html/userhtmlsu43.html | 12 +- docs/html/userhtmlsu44.html | 12 +- docs/html/userhtmlsu45.html | 12 +- docs/html/userhtmlsu46.html | 14 +- docs/html/userhtmlsu47.html | 12 +- docs/html/userhtmlsu48.html | 14 +- docs/html/userhtmlsu49.html | 14 +- docs/html/userhtmlsu50.html | 14 +- docs/html/userhtmlsu51.html | 14 +- docs/html/userhtmlsu52.html | 14 +- docs/html/userhtmlsu53.html | 14 +- docs/html/userhtmlsu54.html | 14 +- docs/html/userhtmlsu55.html | 12 +- docs/html/userhtmlsu56.html | 16 +- docs/html/userhtmlsu90.html | 4 + docs/psblas-3.7.pdf | 3449 ++++++++++++++++++----------------- docs/src/toolsrout.tex | 11 +- 24 files changed, 1924 insertions(+), 1840 deletions(-) diff --git a/docs/html/userhtmlsu36.html b/docs/html/userhtmlsu36.html index dfb56550..b02ac19c 100644 --- a/docs/html/userhtmlsu36.html +++ b/docs/html/userhtmlsu36.html @@ -127,19 +127,23 @@ class="cmbx-12">Notes class="cmmi-10">nnz in the assembled matrix may substantially improve performance in the matrix build phase, as it will reduce or eliminate the need for (potentially - multiple) data reallocations.
                      + multiple) data reallocations; +
                      2. +
                    2. Using psb_matbld_remote_ will cause an overhead at assembly time;
                    -

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                    -

                    diff --git a/docs/html/userhtmlsu37.html b/docs/html/userhtmlsu37.html index fb699ebb..85b08e29 100644 --- a/docs/html/userhtmlsu37.html +++ b/docs/html/userhtmlsu37.html @@ -10,7 +10,7 @@ -

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                    call psb_spins(nz, ia, ja, val, a, desc_a, info [,local]) call psb_spins(nr, irw, irp, ja, val, a, desc_a, info [,local]) -

                    -

                    +

                    +

                    Type:
                    optional.
                    Specified as: a logical value; default: .false..
                    -

                    +

                    On Return
                    required
                    Intent: out.
                    An integer value; 0 means no error has been detected.
                    -

                    Notes

                    1. -1 should be one of the local indices, but are otherwise -

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                      -

                      diff --git a/docs/html/userhtmlsu38.html b/docs/html/userhtmlsu38.html index f7e618aa..73e5bee4 100644 --- a/docs/html/userhtmlsu38.html +++ b/docs/html/userhtmlsu38.html @@ -10,7 +10,7 @@ -

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                       call psb_spasb(a, desc_a, info, afmt, upd, dupl, mold)
                      -

                      -

                      +

                      +

                      Type:
                      _T_base_sparse_mat.
                      -

                      +

                      @@ -131,6 +131,25 @@ class="cmtt-10">_Tspmat_type.

                      desc_a
                      the communication descriptor.
                      Scope:local.
                      Type:required.
                      Intent: in/out.
                      Specified as: a structured data of type psb_desc_type. If the matrix was + allocated with buildmode=psb_matbld_remote_, then the descriptor will + be reassembled. +
                      +info
                      Error code.
                      Scope: required
                      Intent: out.
                      An integer value; 0 means no error has been detected.
                      -

                      Notes

                      1. psb_spins
                      2. On exit from this routine the matrix is in the assembled state, and thus is suitable for the computational routines; + + +
                      3. If the dupl=psb_dupl_add_; note that the -

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                        diff --git a/docs/html/userhtmlsu39.html b/docs/html/userhtmlsu39.html index 61e3d279..158ffce3 100644 --- a/docs/html/userhtmlsu39.html +++ b/docs/html/userhtmlsu39.html @@ -10,7 +10,7 @@ -

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                         call psb_spfree(a, desc_a, info)
                        -

                        -

                        +

                        +

                        Type:
                        psb_desc_type.
                        -

                        +

                        On Return
                        An integer value; 0 means no error has been detected.

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                        -

                        diff --git a/docs/html/userhtmlsu40.html b/docs/html/userhtmlsu40.html index 22c71a9e..f66b2654 100644 --- a/docs/html/userhtmlsu40.html +++ b/docs/html/userhtmlsu40.html @@ -10,7 +10,7 @@ -

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                         call psb_sprn(a, decsc_a, info, clear)
                        -

                        -

                        +

                        +

                        Type:
                        optional.
                        Intent: in.
                        Default: true.
                        -

                        +

                        On Return
                        required
                        Intent: out.
                        An integer value; 0 means no error has been detected.
                        -

                        Notes

                        1. Notes -

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                          diff --git a/docs/html/userhtmlsu41.html b/docs/html/userhtmlsu41.html index 2916d855..f0fd4128 100644 --- a/docs/html/userhtmlsu41.html +++ b/docs/html/userhtmlsu41.html @@ -10,7 +10,7 @@ -

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                           call psb_geall(x, desc_a, info, n, lb)
                          -

                          -

                          +

                          +

                          Type:
                          in.
                          Specified as: Integer scalar, default 1. It is not a valid argument if x is a rank-1 array.
                          -

                          +

                          On Return
                          An integer value; 0 means no error has been detected.

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                          diff --git a/docs/html/userhtmlsu42.html b/docs/html/userhtmlsu42.html index da55f0ec..759e37dd 100644 --- a/docs/html/userhtmlsu42.html +++ b/docs/html/userhtmlsu42.html @@ -10,7 +10,7 @@ -

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                           call psb_geins(m, irw, val, x, desc_a, info [,dupl,local])
                          -

                          -

                          +

                          +

                          Type:
                          optional.
                          Specified as: a logical value; default: .false..
                          -

                          +

                          On Return
                          required
                          Intent: out.
                          An integer value; 0 means no error has been detected.
                          -

                          Notes

                          1. Notes -

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                            diff --git a/docs/html/userhtmlsu43.html b/docs/html/userhtmlsu43.html index 7d0747a5..ddfdcf58 100644 --- a/docs/html/userhtmlsu43.html +++ b/docs/html/userhtmlsu43.html @@ -10,7 +10,7 @@ -

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                             call psb_geasb(x, desc_a, info, mold)
                            -

                            -

                            +

                            +

                            Type:
                            psb_T_vect_type.
                            -

                            +

                            On Return
                            An integer value; 0 means no error has been detected.

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                            -

                            diff --git a/docs/html/userhtmlsu44.html b/docs/html/userhtmlsu44.html index b051f688..42ba0c96 100644 --- a/docs/html/userhtmlsu44.html +++ b/docs/html/userhtmlsu44.html @@ -10,7 +10,7 @@ -

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                             call psb_gefree(x, desc_a, info)
                            -

                            -

                            +

                            +

                            Type:
                            psb_desc_type.
                            -

                            +

                            On Return
                            An integer value; 0 means no error has been detected.

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                            [next] [prev] [prev-tail] [front] [up]

                            -

                            diff --git a/docs/html/userhtmlsu45.html b/docs/html/userhtmlsu45.html index e22552f7..68feb5de 100644 --- a/docs/html/userhtmlsu45.html +++ b/docs/html/userhtmlsu45.html @@ -10,7 +10,7 @@ -

                            [

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                             call psb_gelp(trans, iperm, x, info)
                            -

                            -

                            +

                            +

                            Type:
                            Intent: inout.
                            Specified as: a one or two dimensional array.
                            -

                            +

                            On Return
                            An integer value; 0 means no error has been detected.

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                            -

                            diff --git a/docs/html/userhtmlsu46.html b/docs/html/userhtmlsu46.html index 93539c7f..830ce937 100644 --- a/docs/html/userhtmlsu46.html +++ b/docs/html/userhtmlsu46.html @@ -10,7 +10,7 @@ -

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                            call psb_glob_to_loc(x, y, desc_a, info, iact,owned) call psb_glob_to_loc(x, desc_a, info, iact,owned) -

                            -

                            +

                            +

                            Type:
                            Intent: in.
                            If true, then only indices strictly owned by the current process are considered valid, if false then halo indices are also accepted. Default: false.
                            -

                            +

                            On Return
                            required
                            Intent: out.
                            An integer value; 0 means no error has been detected.
                            -

                            Notes

                            1. Ignore means that the negative output is th -

                              [

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                              -

                              diff --git a/docs/html/userhtmlsu47.html b/docs/html/userhtmlsu47.html index b4d86706..e6fad428 100644 --- a/docs/html/userhtmlsu47.html +++ b/docs/html/userhtmlsu47.html @@ -10,7 +10,7 @@ -

                              [

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                              call psb_loc_to_glob(x, y, desc_a, info, iact) call psb_loc_to_glob(x, desc_a, info, iact) -

                              -

                              +

                              +

                              Type:
                              Ignore, Warning or Abort, default Ignore.
                              -

                              +

                              On Return
                              An integer value; 0 means no error has been detected.

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                              -

                              diff --git a/docs/html/userhtmlsu48.html b/docs/html/userhtmlsu48.html index d1214918..c6d48e0f 100644 --- a/docs/html/userhtmlsu48.html +++ b/docs/html/userhtmlsu48.html @@ -10,7 +10,7 @@ -

                              [

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                               call psb_is_owned(x, desc_a)
                              -

                              -

                              +

                              +

                              Type:
                              psb_desc_type.
                              -

                              +

                              On Return
                              required
                              Intent: out.
                              -

                              Notes

                              1. .true. value for an index that is strictly -

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                                -

                                diff --git a/docs/html/userhtmlsu49.html b/docs/html/userhtmlsu49.html index 4fc676ed..d6f483ca 100644 --- a/docs/html/userhtmlsu49.html +++ b/docs/html/userhtmlsu49.html @@ -10,7 +10,7 @@ -

                                [

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                                 call psb_owned_index(y, x, desc_a, info)
                                -

                                -

                                +

                                +

                                Type:
                                Ignore, Warning or Abort, default Ignore.
                                -

                                +

                                On Return
                                An integer value; 0 means no error has been detected.

                                Notes

                                1. .true. value for those indices that are str -

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                                  -

                                  diff --git a/docs/html/userhtmlsu50.html b/docs/html/userhtmlsu50.html index 463564d6..459d7843 100644 --- a/docs/html/userhtmlsu50.html +++ b/docs/html/userhtmlsu50.html @@ -10,7 +10,7 @@ -

                                  [

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                                   call psb_is_local(x, desc_a)
                                  -

                                  -

                                  +

                                  +

                                  Type:
                                  psb_desc_type.
                                  -

                                  +

                                  On Return
                                  required
                                  Intent: out.
                                  -

                                  Notes

                                  1. .true. value for an index that is local to -

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                                    -

                                    diff --git a/docs/html/userhtmlsu51.html b/docs/html/userhtmlsu51.html index d05f3354..49bc9faf 100644 --- a/docs/html/userhtmlsu51.html +++ b/docs/html/userhtmlsu51.html @@ -10,7 +10,7 @@ -

                                    [

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                                     call psb_local_index(y, x, desc_a, info)
                                    -

                                    -

                                    +

                                    +

                                    Type:
                                    Ignore, Warning or Abort, default Ignore.
                                    -

                                    +

                                    On Return
                                    An integer value; 0 means no error has been detected.

                                    Notes

                                    1. .true. value for those indices that are loc -

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                                      -

                                      diff --git a/docs/html/userhtmlsu52.html b/docs/html/userhtmlsu52.html index 3764b5d4..c55b1619 100644 --- a/docs/html/userhtmlsu52.html +++ b/docs/html/userhtmlsu52.html @@ -10,7 +10,7 @@ -

                                      [

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                                       call psb_get_boundary(bndel, desc, info)
                                      -

                                      -

                                      +

                                      +

                                      Type:
                                      psb_desc_type.
                                      -

                                      +

                                      On Return
                                      required
                                      Intent: out.
                                      An integer value; 0 means no error has been detected.
                                      -

                                      Notes

                                      1. bndel will be exactly equal to the nu -

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                                        -

                                        diff --git a/docs/html/userhtmlsu53.html b/docs/html/userhtmlsu53.html index 4667f4b7..281c6a44 100644 --- a/docs/html/userhtmlsu53.html +++ b/docs/html/userhtmlsu53.html @@ -10,7 +10,7 @@ -

                                        [

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                                         call psb_get_overlap(ovrel, desc, info)
                                        -

                                        -

                                        +

                                        +

                                        Type:
                                        psb_desc_type.
                                        -

                                        +

                                        On Return
                                        required
                                        Intent: out.
                                        An integer value; 0 means no error has been detected.
                                        -

                                        Notes

                                        1. ovrel will be exactly equal to the number o -

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                                          -

                                          diff --git a/docs/html/userhtmlsu54.html b/docs/html/userhtmlsu54.html index 9a3dd799..9da5b49f 100644 --- a/docs/html/userhtmlsu54.html +++ b/docs/html/userhtmlsu54.html @@ -10,7 +10,7 @@ -

                                          [

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                                          call psb_sp_getrow(row, a, nz, ia, ja, val, info, &               & append, nzin, lrw) -

                                          -

                                          +

                                          +

                                          Type:
                                          row. -

                                          +

                                          On Return
                                          required
                                          Intent: out.
                                          An integer value; 0 means no error has been detected.
                                          -

                                          Notes

                                          1. psb_loc_to_glob routine on the output.
                                            2. -

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                                            -

                                            diff --git a/docs/html/userhtmlsu55.html b/docs/html/userhtmlsu55.html index dc484592..2a2351f5 100644 --- a/docs/html/userhtmlsu55.html +++ b/docs/html/userhtmlsu55.html @@ -10,7 +10,7 @@ -

                                            [

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                                            6.26 psb_sizeof — Memory occupation

                                            -

                                            This function computes the memory occupation of a PSBLAS object. +

                                            This function computes the memory occupation of a PSBLAS object. @@ -27,8 +27,8 @@ isz = psb_sizeof(a) isz = psb_sizeof(desc_a) isz = psb_sizeof(prec) -

                                            -

                                            +

                                            +

                                            Type:
                                            integer(psb_long_int_k_) number.
                                            -

                                            [

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                                            -

                                            diff --git a/docs/html/userhtmlsu56.html b/docs/html/userhtmlsu56.html index 993b5ba8..0bf25c0e 100644 --- a/docs/html/userhtmlsu56.html +++ b/docs/html/userhtmlsu56.html @@ -10,20 +10,20 @@ -

                                            [

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                                            6.27 Sorting utilities —

                                            -

                                            psb_msort — Sorting by the Merge-sort algorithm -

                                            psb_qsort — Sorting by the Quicksort algorithm -

                                            psb_hsort — Sorting by the Heapsort algorithm @@ -34,8 +34,8 @@ call psb_msort(x,ix,dir,flag) call psb_qsort(x,ix,dir,flag) call psb_hsort(x,ix,dir,flag) -

                                            -

                                            These serial routines sort a sequence

                                            +

                                            These serial routines sort a sequence X into ascending or descending order. The argument meaning is identical for the three calls; the only difference is the algorithm used to accomplish the task (see Usage Notes below). @@ -102,7 +102,7 @@ class="cmtt-10">psb_sort_keep_idx_; default psb_sort_ovw_idx_.

                                          -

                                          +

                                          On Return
                                          Optional
                                          An integer array of rank 1, whose entries are moved to the same position as the corresponding entries in x.
                                          -

                                          Notes

                                          1. An integer value; 0 means no error has been detected.

                                            + + +

                                            [front] [up]

                                            diff --git a/docs/psblas-3.7.pdf b/docs/psblas-3.7.pdf index 7d56f07e..50b8c12c 100644 --- a/docs/psblas-3.7.pdf +++ b/docs/psblas-3.7.pdf @@ -16958,7 +16958,7 @@ endstream endobj 1420 0 obj << -/Length 5640 +/Length 5859 >> stream 0 g 0 G @@ -16976,98 +16976,102 @@ BT 0 g 0 G /F59 9.9626 Tf -51.121 -18.964 Td [(call)-525(psb_spall\050a,)-525(desc_a,)-525(info,)-525(nnz,)-525(buildmode\051)]TJ 0 g 0 G -/F51 9.9626 Tf 0 -21.918 Td [(T)90(ype:)]TJ +/F51 9.9626 Tf 0 -19.848 Td [(T)90(ype:)]TJ 0 g 0 G /F54 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ 0 g 0 G -/F51 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ +/F51 9.9626 Tf -29.828 -19.097 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G - 0 -19.925 Td [(desc)]TJ + 0 -19.098 Td [(desc)]TJ ET q -1 0 0 1 120.408 625.596 cm +1 0 0 1 120.408 629.321 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 123.397 625.397 Td [(a)]TJ +/F51 9.9626 Tf 123.397 629.122 Td [(a)]TJ 0 g 0 G -/F54 9.9626 Tf 9.963 0 Td [(the)-250(communication)-250(descriptor)74(.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 28.343 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -49.922 -11.956 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 24 0 Td [(required)]TJ/F54 9.9626 Tf 39.292 0 Td [(.)]TJ -63.292 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ +/F54 9.9626 Tf 9.963 0 Td [(the)-250(communication)-250(descriptor)74(.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 28.343 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -49.922 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 24 0 Td [(required)]TJ/F54 9.9626 Tf 39.292 0 Td [(.)]TJ -63.292 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.956 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG /F59 9.9626 Tf 168.138 0 Td [(psb)]TJ ET q -1 0 0 1 309.258 577.775 cm +1 0 0 1 309.258 581.501 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 312.397 577.576 Td [(desc)]TJ +/F59 9.9626 Tf 312.397 581.301 Td [(desc)]TJ ET q -1 0 0 1 333.945 577.775 cm +1 0 0 1 333.945 581.501 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 337.084 577.576 Td [(type)]TJ +/F59 9.9626 Tf 337.084 581.301 Td [(type)]TJ 0 g 0 G /F54 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -258.11 -19.925 Td [(nnz)]TJ +/F51 9.9626 Tf -258.11 -19.097 Td [(nnz)]TJ 0 g 0 G -/F54 9.9626 Tf 22.137 0 Td [(An)-230(estimate)-230(of)-230(the)-230(number)-230(of)-231(nonzer)18(oes)-230(in)-230(the)-230(local)-230(part)-230(of)-230(the)-230(assembled)]TJ 2.77 -11.955 Td [(matrix.)]TJ 0 -11.956 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(global)]TJ/F54 9.9626 Tf 28.782 0 Td [(.)]TJ -60.214 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(optional)]TJ/F54 9.9626 Tf 38.187 0 Td [(.)]TJ -65.275 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(value.)]TJ +/F54 9.9626 Tf 22.137 0 Td [(An)-230(estimate)-230(of)-230(the)-230(number)-230(of)-231(nonzer)18(oes)-230(in)-230(the)-230(local)-230(part)-230(of)-230(the)-230(assembled)]TJ 2.77 -11.955 Td [(matrix.)]TJ 0 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(global)]TJ/F54 9.9626 Tf 28.782 0 Td [(.)]TJ -60.214 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(optional)]TJ/F54 9.9626 Tf 38.187 0 Td [(.)]TJ -65.275 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(value.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.907 -19.925 Td [(buildmode)]TJ +/F51 9.9626 Tf -24.907 -19.097 Td [(buildmode)]TJ 0 g 0 G -/F54 9.9626 Tf 55.343 0 Td [(Whether)-293(to)-293(keep)-293(track)-293(of)-293(matrix)-294(entries)-293(that)-293(do)-293(not)-293(belong)-293(to)-293(the)]TJ -30.436 -11.956 Td [(curr)18(ent)-250(pr)18(ocess.)]TJ 0 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(global)]TJ/F54 9.9626 Tf 28.782 0 Td [(.)]TJ -60.214 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(optional)]TJ/F54 9.9626 Tf 38.187 0 Td [(.)]TJ -65.275 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-190(as:)-280(an)-190(integer)-190(value)]TJ/F59 9.9626 Tf 128.287 0 Td [(psb_matbld_noremote_)]TJ/F54 9.9626 Tf 104.607 0 Td [(,)]TJ/F59 9.9626 Tf 4.503 0 Td [(psb_matbld_remote_)]TJ/F54 9.9626 Tf 94.146 0 Td [(.)]TJ -331.543 -11.955 Td [(Default:)]TJ/F59 9.9626 Tf 38.515 0 Td [(psb_matbld_noremote_)]TJ/F54 9.9626 Tf 104.607 0 Td [(.)]TJ +/F54 9.9626 Tf 55.343 0 Td [(Whether)-293(to)-293(keep)-293(track)-293(of)-293(matrix)-294(entries)-293(that)-293(do)-293(not)-293(belong)-293(to)-293(the)]TJ -30.436 -11.955 Td [(curr)18(ent)-250(pr)18(ocess.)]TJ 0 -11.956 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(global)]TJ/F54 9.9626 Tf 28.782 0 Td [(.)]TJ -60.214 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(optional)]TJ/F54 9.9626 Tf 38.187 0 Td [(.)]TJ -65.275 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-190(as:)-280(an)-190(integer)-190(value)]TJ/F59 9.9626 Tf 128.287 0 Td [(psb_matbld_noremote_)]TJ/F54 9.9626 Tf 104.607 0 Td [(,)]TJ/F59 9.9626 Tf 4.503 0 Td [(psb_matbld_remote_)]TJ/F54 9.9626 Tf 94.146 0 Td [(.)]TJ -331.543 -11.955 Td [(Default:)]TJ/F59 9.9626 Tf 38.515 0 Td [(psb_matbld_noremote_)]TJ/F54 9.9626 Tf 104.607 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -168.029 -21.918 Td [(On)-250(Return)]TJ +/F51 9.9626 Tf -168.029 -19.848 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G - 0 -19.926 Td [(a)]TJ + 0 -19.098 Td [(a)]TJ 0 g 0 G -/F54 9.9626 Tf 9.963 0 Td [(the)-250(matrix)-250(to)-250(be)-250(allocated.)]TJ 14.944 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 28.343 0 Td [(local)]TJ/F54 9.9626 Tf -28.343 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 24 0 Td [(required)]TJ/F54 9.9626 Tf -24 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ +/F54 9.9626 Tf 9.963 0 Td [(the)-250(matrix)-250(to)-250(be)-250(allocated.)]TJ 14.944 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 28.343 0 Td [(local)]TJ/F54 9.9626 Tf -28.343 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 24 0 Td [(required)]TJ/F54 9.9626 Tf -24 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.956 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG /F59 9.9626 Tf 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If the matrix was +allocated with \verb|buildmode=psb_matbld_remote_|, then the +descriptor will be reassembled. \item[info] Error code.\\ Scope: {\bf local} \\ Type: {\bf required} \\ From 13153e03dc2e3452464e9adac7a84b6e3d4b058b Mon Sep 17 00:00:00 2001 From: Cirdans-Home Date: Tue, 29 Mar 2022 18:03:22 +0200 Subject: [PATCH 10/28] Added c interface for remotebuild --- cbind/base/psb_base_tools_cbind_mod.F90 | 41 +++++++++++++++++++++++++ cbind/base/psb_c_cbase.h | 1 + cbind/base/psb_c_dbase.h | 1 + cbind/base/psb_c_sbase.h | 1 + cbind/base/psb_c_tools_cbind_mod.F90 | 28 ++++++++++++++++- cbind/base/psb_c_zbase.h | 1 + cbind/base/psb_d_tools_cbind_mod.F90 | 28 ++++++++++++++++- cbind/base/psb_s_tools_cbind_mod.F90 | 28 ++++++++++++++++- cbind/base/psb_z_tools_cbind_mod.F90 | 28 ++++++++++++++++- 9 files changed, 153 insertions(+), 4 deletions(-) diff --git a/cbind/base/psb_base_tools_cbind_mod.F90 b/cbind/base/psb_base_tools_cbind_mod.F90 index dc05fd66..7126ced8 100644 --- a/cbind/base/psb_base_tools_cbind_mod.F90 +++ b/cbind/base/psb_base_tools_cbind_mod.F90 @@ -100,6 +100,47 @@ contains end function psb_c_cdall_vl + function psb_c_cdall_vl_opt(nl,vl,cctxt,cdh) bind(c,name='psb_c_cdall_vl_opt') result(res) + implicit none + + integer(psb_c_ipk_) :: res + type(psb_c_object_type), value :: cctxt + integer(psb_c_ipk_), value :: nl + integer(psb_c_lpk_) :: vl(*) + type(psb_c_object_type) :: cdh + type(psb_desc_type), pointer :: descp + integer(psb_c_ipk_) :: info, ixb + type(psb_ctxt_type) :: ctxt + ctxt = psb_c2f_ctxt(cctxt) + + res = -1 + if (nl <=0) then + write(0,*) 'Invalid size' + return + end if + + if (c_associated(cdh%item)) then + call c_f_pointer(cdh%item,descp) + call descp%free(info) + if (info == 0) deallocate(descp,stat=info) + if (info /= 0) return + end if + + allocate(descp,stat=info) + if (info < 0) return + + ixb = psb_c_get_index_base() + + if (ixb == 1) then + call psb_cdall(ctxt,descp,info,vl=vl(1:nl),globalcheck=.true.) + else + call psb_cdall(ctxt,descp,info,vl=(vl(1:nl)+(1-ixb)),globalcheck=.true.) + end if + cdh%item = c_loc(descp) + res = info + + end function psb_c_cdall_vl_opt + function psb_c_cdall_nl(nl,cctxt,cdh) bind(c,name='psb_c_cdall_nl') result(res) implicit none diff --git a/cbind/base/psb_c_cbase.h b/cbind/base/psb_c_cbase.h index dd64d6e2..83b51b8b 100644 --- a/cbind/base/psb_c_cbase.h +++ b/cbind/base/psb_c_cbase.h @@ -35,6 +35,7 @@ psb_c_t psb_c_cgetelem(psb_c_cvector *xh,psb_l_t index,psb_c_descriptor *cd); /* sparse matrices*/ psb_c_cspmat* psb_c_new_cspmat(); psb_i_t psb_c_cspall(psb_c_cspmat *mh, psb_c_descriptor *cdh); +psb_i_t psb_c_cspall_remote(psb_c_cspmat *mh, psb_c_descriptor *cdh); psb_i_t psb_c_cspasb(psb_c_cspmat *mh, psb_c_descriptor *cdh); psb_i_t psb_c_cspfree(psb_c_cspmat *mh, psb_c_descriptor *cdh); psb_i_t psb_c_cspins(psb_i_t nz, const psb_l_t *irw, const psb_l_t *icl, diff --git a/cbind/base/psb_c_dbase.h b/cbind/base/psb_c_dbase.h index 8c2c6a61..8733dd46 100644 --- a/cbind/base/psb_c_dbase.h +++ b/cbind/base/psb_c_dbase.h @@ -35,6 +35,7 @@ psb_d_t psb_c_dgetelem(psb_c_dvector *xh,psb_l_t index,psb_c_descriptor *cd); /* sparse matrices*/ psb_c_dspmat* psb_c_new_dspmat(); psb_i_t psb_c_dspall(psb_c_dspmat *mh, psb_c_descriptor *cdh); +psb_i_t psb_c_dspall_remote(psb_c_dspmat *mh, psb_c_descriptor *cdh); psb_i_t psb_c_dspasb(psb_c_dspmat *mh, psb_c_descriptor *cdh); psb_i_t psb_c_dspfree(psb_c_dspmat *mh, psb_c_descriptor *cdh); psb_i_t psb_c_dspins(psb_i_t nz, const psb_l_t *irw, const psb_l_t *icl, diff --git a/cbind/base/psb_c_sbase.h b/cbind/base/psb_c_sbase.h index b2e18ba5..d3a88044 100644 --- a/cbind/base/psb_c_sbase.h +++ b/cbind/base/psb_c_sbase.h @@ -35,6 +35,7 @@ psb_s_t psb_c_sgetelem(psb_c_svector *xh,psb_l_t index,psb_c_descriptor *cd); /* sparse matrices*/ psb_c_sspmat* psb_c_new_sspmat(); psb_i_t psb_c_sspall(psb_c_sspmat *mh, psb_c_descriptor *cdh); +psb_i_t psb_c_sspall_remote(psb_c_sspmat *mh, psb_c_descriptor *cdh); psb_i_t psb_c_sspasb(psb_c_sspmat *mh, psb_c_descriptor *cdh); psb_i_t psb_c_sspfree(psb_c_sspmat *mh, psb_c_descriptor *cdh); psb_i_t psb_c_sspins(psb_i_t nz, const psb_l_t *irw, const psb_l_t *icl, diff --git a/cbind/base/psb_c_tools_cbind_mod.F90 b/cbind/base/psb_c_tools_cbind_mod.F90 index 84fea6d7..4eb23742 100644 --- a/cbind/base/psb_c_tools_cbind_mod.F90 +++ b/cbind/base/psb_c_tools_cbind_mod.F90 @@ -212,6 +212,33 @@ contains end function psb_c_cspall + function psb_c_cspall_remote(mh,cdh) bind(c) result(res) + + implicit none + integer(psb_c_ipk_) :: res + type(psb_c_cspmat) :: mh + type(psb_c_descriptor) :: cdh + + type(psb_desc_type), pointer :: descp + type(psb_cspmat_type), pointer :: ap + integer(psb_c_ipk_) :: info,n + + res = -1 + if (c_associated(cdh%item)) then + call c_f_pointer(cdh%item,descp) + else + return + end if + if (c_associated(mh%item)) then + return + end if + allocate(ap) + call psb_spall(ap,descp,info,bldmode=psb_matbld_remote_) + mh%item = c_loc(ap) + res = min(0,info) + + return + end function psb_c_cspall_remote function psb_c_cspasb(mh,cdh) bind(c) result(res) @@ -241,7 +268,6 @@ contains return end function psb_c_cspasb - function psb_c_cspfree(mh,cdh) bind(c) result(res) implicit none diff --git a/cbind/base/psb_c_zbase.h b/cbind/base/psb_c_zbase.h index 16ee1ac4..ce2c5d3e 100644 --- a/cbind/base/psb_c_zbase.h +++ b/cbind/base/psb_c_zbase.h @@ -35,6 +35,7 @@ psb_z_t psb_c_zgetelem(psb_c_zvector *xh,psb_l_t index,psb_c_descriptor *cd); /* sparse matrices*/ psb_c_zspmat* psb_c_new_zspmat(); psb_i_t psb_c_zspall(psb_c_zspmat *mh, psb_c_descriptor *cdh); +psb_i_t psb_c_zspall_remote(psb_c_zspmat *mh, psb_c_descriptor *cdh); psb_i_t psb_c_zspasb(psb_c_zspmat *mh, psb_c_descriptor *cdh); psb_i_t psb_c_zspfree(psb_c_zspmat *mh, psb_c_descriptor *cdh); psb_i_t psb_c_zspins(psb_i_t nz, const psb_l_t *irw, const psb_l_t *icl, diff --git a/cbind/base/psb_d_tools_cbind_mod.F90 b/cbind/base/psb_d_tools_cbind_mod.F90 index 08e214a5..009e7b17 100644 --- a/cbind/base/psb_d_tools_cbind_mod.F90 +++ b/cbind/base/psb_d_tools_cbind_mod.F90 @@ -212,6 +212,33 @@ contains end function psb_c_dspall + function psb_c_dspall_remote(mh,cdh) bind(c) result(res) + + implicit none + integer(psb_c_ipk_) :: res + type(psb_c_dspmat) :: mh + type(psb_c_descriptor) :: cdh + + type(psb_desc_type), pointer :: descp + type(psb_dspmat_type), pointer :: ap + integer(psb_c_ipk_) :: info,n + + res = -1 + if (c_associated(cdh%item)) then + call c_f_pointer(cdh%item,descp) + else + return + end if + if (c_associated(mh%item)) then + return + end if + allocate(ap) + call psb_spall(ap,descp,info,bldmode=psb_matbld_remote_) + mh%item = c_loc(ap) + res = min(0,info) + + return + end function psb_c_dspall_remote function psb_c_dspasb(mh,cdh) bind(c) result(res) @@ -241,7 +268,6 @@ contains return end function psb_c_dspasb - function psb_c_dspfree(mh,cdh) bind(c) result(res) implicit none diff --git a/cbind/base/psb_s_tools_cbind_mod.F90 b/cbind/base/psb_s_tools_cbind_mod.F90 index d9584338..f6cef638 100644 --- a/cbind/base/psb_s_tools_cbind_mod.F90 +++ b/cbind/base/psb_s_tools_cbind_mod.F90 @@ -212,6 +212,33 @@ contains end function psb_c_sspall + function psb_c_sspall_remote(mh,cdh) bind(c) result(res) + + implicit none + integer(psb_c_ipk_) :: res + type(psb_c_sspmat) :: mh + type(psb_c_descriptor) :: cdh + + type(psb_desc_type), pointer :: descp + type(psb_sspmat_type), pointer :: ap + integer(psb_c_ipk_) :: info,n + + res = -1 + if (c_associated(cdh%item)) then + call c_f_pointer(cdh%item,descp) + else + return + end if + if (c_associated(mh%item)) then + return + end if + allocate(ap) + call psb_spall(ap,descp,info,bldmode=psb_matbld_remote_) + mh%item = c_loc(ap) + res = min(0,info) + + return + end function psb_c_sspall_remote function psb_c_sspasb(mh,cdh) bind(c) result(res) @@ -241,7 +268,6 @@ contains return end function psb_c_sspasb - function psb_c_sspfree(mh,cdh) bind(c) result(res) implicit none diff --git a/cbind/base/psb_z_tools_cbind_mod.F90 b/cbind/base/psb_z_tools_cbind_mod.F90 index 572eeb95..03827a3f 100644 --- a/cbind/base/psb_z_tools_cbind_mod.F90 +++ b/cbind/base/psb_z_tools_cbind_mod.F90 @@ -212,6 +212,33 @@ contains end function psb_c_zspall + function psb_c_zspall_remote(mh,cdh) bind(c) result(res) + + implicit none + integer(psb_c_ipk_) :: res + type(psb_c_zspmat) :: mh + type(psb_c_descriptor) :: cdh + + type(psb_desc_type), pointer :: descp + type(psb_zspmat_type), pointer :: ap + integer(psb_c_ipk_) :: info,n + + res = -1 + if (c_associated(cdh%item)) then + call c_f_pointer(cdh%item,descp) + else + return + end if + if (c_associated(mh%item)) then + return + end if + allocate(ap) + call psb_spall(ap,descp,info,bldmode=psb_matbld_remote_) + mh%item = c_loc(ap) + res = min(0,info) + + return + end function psb_c_zspall_remote function psb_c_zspasb(mh,cdh) bind(c) result(res) @@ -241,7 +268,6 @@ contains return end function psb_c_zspasb - function psb_c_zspfree(mh,cdh) bind(c) result(res) implicit none From 78b4b0ddc5068d1398999827a3fd769abc0b8af5 Mon Sep 17 00:00:00 2001 From: cirdans-home Date: Wed, 30 Mar 2022 03:08:44 -0400 Subject: [PATCH 11/28] Added utility to dump global matrix --- cbind/util/psb_c_cutil.h | 1 + cbind/util/psb_c_dutil.h | 1 + cbind/util/psb_c_sutil.h | 1 + cbind/util/psb_c_util_cbind_mod.f90 | 44 +++++++++++++++++++++++++++++ cbind/util/psb_c_zutil.h | 1 + cbind/util/psb_d_util_cbind_mod.f90 | 44 +++++++++++++++++++++++++++++ cbind/util/psb_s_util_cbind_mod.f90 | 44 +++++++++++++++++++++++++++++ cbind/util/psb_z_util_cbind_mod.f90 | 44 +++++++++++++++++++++++++++++ 8 files changed, 180 insertions(+) diff --git a/cbind/util/psb_c_cutil.h b/cbind/util/psb_c_cutil.h index 4d2755d6..c9ca4211 100644 --- a/cbind/util/psb_c_cutil.h +++ b/cbind/util/psb_c_cutil.h @@ -8,6 +8,7 @@ extern "C" { /* I/O Routine */ psb_i_t psb_c_cmm_mat_write(psb_c_cspmat *ah, char *matrixtitle, char *filename); +psb_i_t psb_c_cglobal_mat_write(psb_c_cspmat *ah,psb_c_descriptor *cdh); #ifdef __cplusplus } diff --git a/cbind/util/psb_c_dutil.h b/cbind/util/psb_c_dutil.h index 306d7310..2931e530 100644 --- a/cbind/util/psb_c_dutil.h +++ b/cbind/util/psb_c_dutil.h @@ -8,6 +8,7 @@ extern "C" { /* I/O Routine */ psb_i_t psb_c_dmm_mat_write(psb_c_dspmat *ah, char *matrixtitle, char *filename); +psb_i_t psb_c_dglobal_mat_write(psb_c_dspmat *ah,psb_c_descriptor *cdh); #ifdef __cplusplus } diff --git a/cbind/util/psb_c_sutil.h b/cbind/util/psb_c_sutil.h index 9dd1ed54..3fd9f0ca 100644 --- a/cbind/util/psb_c_sutil.h +++ b/cbind/util/psb_c_sutil.h @@ -8,6 +8,7 @@ extern "C" { /* I/O Routine */ psb_i_t psb_c_smm_mat_write(psb_c_sspmat *ah, char *matrixtitle, char *filename); +psb_i_t psb_c_sglobal_mat_write(psb_c_sspmat *ah,psb_c_descriptor *cdh); #ifdef __cplusplus } diff --git a/cbind/util/psb_c_util_cbind_mod.f90 b/cbind/util/psb_c_util_cbind_mod.f90 index 3761cd08..cd322b56 100644 --- a/cbind/util/psb_c_util_cbind_mod.f90 +++ b/cbind/util/psb_c_util_cbind_mod.f90 @@ -41,4 +41,48 @@ contains end function psb_c_cmm_mat_write + function psb_c_cglobal_mat_write(ah,cdh) bind(c) result(res) + use psb_base_mod + use psb_util_mod + use psb_base_string_cbind_mod + implicit none + integer(psb_c_ipk_) :: res + + type(psb_c_cspmat) :: ah + type(psb_c_descriptor) :: cdh + + type(psb_cspmat_type), pointer :: ap + type(psb_desc_type), pointer :: descp + ! Local variables + type(psb_cspmat_type) :: aglobal + integer(psb_ipk_) :: info, iam, np + type(psb_ctxt_type) :: ctxt + character(len=40) :: matrixname + + res = -1 + if (c_associated(cdh%item)) then + call c_f_pointer(cdh%item,descp) + else + return + end if + if (c_associated(ah%item)) then + call c_f_pointer(ah%item,ap) + else + return + end if + + ctxt = descp%get_ctxt() + call psb_info(ctxt,iam,np) + call psb_gather(aglobal,ap,descp,info) + if (iam == psb_root_) then + write(matrixname,'("A-np-",I1,".mtx")') np + call mm_mat_write(aglobal,"Global matrix",info,filename=trim(matrixname)) + end if + + call psb_spfree(aglobal,descp,info) + res = info + + end function psb_c_cglobal_mat_write + + end module psb_cutil_cbind_mod diff --git a/cbind/util/psb_c_zutil.h b/cbind/util/psb_c_zutil.h index f5d0f225..b1b47e35 100644 --- a/cbind/util/psb_c_zutil.h +++ b/cbind/util/psb_c_zutil.h @@ -8,6 +8,7 @@ extern "C" { /* I/O Routine */ psb_i_t psb_c_zmm_mat_write(psb_c_zspmat *ah, char *matrixtitle, char *filename); +psb_i_t psb_c_zglobal_mat_write(psb_c_zspmat *ah,psb_c_descriptor *cdh); #ifdef __cplusplus } diff --git a/cbind/util/psb_d_util_cbind_mod.f90 b/cbind/util/psb_d_util_cbind_mod.f90 index 245cff5e..60e282a3 100644 --- a/cbind/util/psb_d_util_cbind_mod.f90 +++ b/cbind/util/psb_d_util_cbind_mod.f90 @@ -41,4 +41,48 @@ contains end function psb_c_dmm_mat_write + function psb_c_dglobal_mat_write(ah,cdh) bind(c) result(res) + use psb_base_mod + use psb_util_mod + use psb_base_string_cbind_mod + implicit none + integer(psb_c_ipk_) :: res + + type(psb_c_dspmat) :: ah + type(psb_c_descriptor) :: cdh + + type(psb_dspmat_type), pointer :: ap + type(psb_desc_type), pointer :: descp + ! Local variables + type(psb_dspmat_type) :: aglobal + integer(psb_ipk_) :: info, iam, np + type(psb_ctxt_type) :: ctxt + character(len=40) :: matrixname + + res = -1 + if (c_associated(cdh%item)) then + call c_f_pointer(cdh%item,descp) + else + return + end if + if (c_associated(ah%item)) then + call c_f_pointer(ah%item,ap) + else + return + end if + + ctxt = descp%get_ctxt() + call psb_info(ctxt,iam,np) + call psb_gather(aglobal,ap,descp,info) + if (iam == psb_root_) then + write(matrixname,'("A-np-",I1,".mtx")') np + call mm_mat_write(aglobal,"Global matrix",info,filename=trim(matrixname)) + end if + + call psb_spfree(aglobal,descp,info) + res = info + + end function psb_c_dglobal_mat_write + + end module psb_dutil_cbind_mod diff --git a/cbind/util/psb_s_util_cbind_mod.f90 b/cbind/util/psb_s_util_cbind_mod.f90 index e857cde9..947f88d9 100644 --- a/cbind/util/psb_s_util_cbind_mod.f90 +++ b/cbind/util/psb_s_util_cbind_mod.f90 @@ -41,4 +41,48 @@ contains end function psb_c_smm_mat_write + function psb_c_sglobal_mat_write(ah,cdh) bind(c) result(res) + use psb_base_mod + use psb_util_mod + use psb_base_string_cbind_mod + implicit none + integer(psb_c_ipk_) :: res + + type(psb_c_sspmat) :: ah + type(psb_c_descriptor) :: cdh + + type(psb_sspmat_type), pointer :: ap + type(psb_desc_type), pointer :: descp + ! Local variables + type(psb_sspmat_type) :: aglobal + integer(psb_ipk_) :: info, iam, np + type(psb_ctxt_type) :: ctxt + character(len=40) :: matrixname + + res = -1 + if (c_associated(cdh%item)) then + call c_f_pointer(cdh%item,descp) + else + return + end if + if (c_associated(ah%item)) then + call c_f_pointer(ah%item,ap) + else + return + end if + + ctxt = descp%get_ctxt() + call psb_info(ctxt,iam,np) + call psb_gather(aglobal,ap,descp,info) + if (iam == psb_root_) then + write(matrixname,'("A-np-",I1,".mtx")') np + call mm_mat_write(aglobal,"Global matrix",info,filename=trim(matrixname)) + end if + + call psb_spfree(aglobal,descp,info) + res = info + + end function psb_c_sglobal_mat_write + + end module psb_sutil_cbind_mod diff --git a/cbind/util/psb_z_util_cbind_mod.f90 b/cbind/util/psb_z_util_cbind_mod.f90 index e0b60005..46412550 100644 --- a/cbind/util/psb_z_util_cbind_mod.f90 +++ b/cbind/util/psb_z_util_cbind_mod.f90 @@ -41,4 +41,48 @@ contains end function psb_c_zmm_mat_write + function psb_c_zglobal_mat_write(ah,cdh) bind(c) result(res) + use psb_base_mod + use psb_util_mod + use psb_base_string_cbind_mod + implicit none + integer(psb_c_ipk_) :: res + + type(psb_c_zspmat) :: ah + type(psb_c_descriptor) :: cdh + + type(psb_zspmat_type), pointer :: ap + type(psb_desc_type), pointer :: descp + ! Local variables + type(psb_zspmat_type) :: aglobal + integer(psb_ipk_) :: info, iam, np + type(psb_ctxt_type) :: ctxt + character(len=40) :: matrixname + + res = -1 + if (c_associated(cdh%item)) then + call c_f_pointer(cdh%item,descp) + else + return + end if + if (c_associated(ah%item)) then + call c_f_pointer(ah%item,ap) + else + return + end if + + ctxt = descp%get_ctxt() + call psb_info(ctxt,iam,np) + call psb_gather(aglobal,ap,descp,info) + if (iam == psb_root_) then + write(matrixname,'("A-np-",I1,".mtx")') np + call mm_mat_write(aglobal,"Global matrix",info,filename=trim(matrixname)) + end if + + call psb_spfree(aglobal,descp,info) + res = info + + end function psb_c_zglobal_mat_write + + end module psb_zutil_cbind_mod From c7761ca834d0e0f44eedaaa250f6b0a906794113 Mon Sep 17 00:00:00 2001 From: Cirdans-Home Date: Wed, 30 Mar 2022 11:20:36 +0200 Subject: [PATCH 12/28] Added info on new mm_mat_write interface --- docs/psblas-3.7.pdf | 9035 +++++++++++++++++++++++++------------------ docs/src/util.tex | 48 + 2 files changed, 5272 insertions(+), 3811 deletions(-) diff --git a/docs/psblas-3.7.pdf b/docs/psblas-3.7.pdf index 50b8c12c..1ecfe162 100644 --- a/docs/psblas-3.7.pdf +++ b/docs/psblas-3.7.pdf @@ -4,220 +4,220 @@ << /Type /ObjStm /N 100 -/First 819 -/Length 6377 +/First 865 +/Length 16060 >> stream -1 0 5 38 6 77 9 117 10 144 13 185 14 217 17 263 18 299 21 345 -22 379 25 425 26 464 29 515 30 562 33 608 34 643 37 684 38 727 41 773 -42 816 45 867 46 905 49 956 50 1026 53 1077 54 1147 57 1198 58 1270 61 1321 -62 1393 65 1444 66 1522 69 1573 70 1638 73 1689 74 1740 77 1791 78 1851 81 1903 -82 2006 85 2058 86 2161 89 2213 90 2285 93 2337 94 2409 97 2461 98 2542 101 2594 -102 2631 105 2678 106 2716 109 2768 110 2810 113 2862 114 2938 117 2990 118 3069 121 3121 -122 3211 125 3263 126 3358 129 3410 130 3492 133 3544 134 3618 137 3670 138 3740 141 3792 -142 3883 145 3936 146 4006 149 4059 150 4114 153 4167 154 4236 157 4289 158 4345 161 4398 -162 4459 165 4512 166 4569 169 4622 170 4679 173 4732 174 4814 177 4867 178 4920 181 4973 -182 5010 185 5057 186 5103 189 5155 190 5190 193 5242 194 5317 197 5369 198 5450 201 5502 +1 0 5 38 6 195 9 235 10 329 13 370 14 488 17 534 18 672 21 718 +22 846 25 892 26 1045 29 1096 30 1292 33 1338 34 1471 37 1512 38 1691 41 1737 +42 1913 45 1964 46 2112 49 2163 50 2450 53 2501 54 2788 57 2839 58 3136 61 3187 +62 3484 65 3535 66 3862 69 3913 70 4181 73 4232 74 4442 77 4493 78 4751 81 4803 +82 5234 85 5286 86 5717 89 5769 90 6063 93 6115 94 6409 97 6461 98 6827 101 6879 +102 7018 105 7065 106 7212 109 7264 110 7431 113 7483 114 7817 117 7869 118 8218 121 8270 +122 8677 125 8729 126 9164 129 9216 130 9595 133 9647 134 9965 137 10017 138 10285 141 10337 +142 10701 145 10754 146 11064 149 11117 150 11346 153 11399 154 11683 157 11736 158 11955 161 12008 +162 12255 165 12308 166 12547 169 12600 170 12839 173 12892 174 13220 177 13273 178 13489 181 13542 +182 13681 185 13728 186 13918 189 13970 190 14099 193 14151 194 14480 197 14532 198 14906 201 14958 % 1 0 obj << /S /GoTo /D (title.0) >> % 5 0 obj -(PSBLAS-v3.7.0 User's Guide) +(\376\377\000P\000S\000B\000L\000A\000S\000-\000v\0003\000.\0007\000.\0000\000\040\000U\000s\000e\000r\000'\000s\000\040\000G\000u\000i\000d\000e) % 6 0 obj << /S /GoTo /D (section.1) >> % 9 0 obj -(1 Introduction) +(\376\377\0001\000\040\000I\000n\000t\000r\000o\000d\000u\000c\000t\000i\000o\000n) % 10 0 obj << /S /GoTo /D (section.2) >> % 13 0 obj -(2 General overview) +(\376\377\0002\000\040\000G\000e\000n\000e\000r\000a\000l\000\040\000o\000v\000e\000r\000v\000i\000e\000w) % 14 0 obj << /S /GoTo /D (subsection.2.1) >> % 17 0 obj -(2.1 Basic Nomenclature) +(\376\377\0002\000.\0001\000\040\000B\000a\000s\000i\000c\000\040\000N\000o\000m\000e\000n\000c\000l\000a\000t\000u\000r\000e) % 18 0 obj << /S /GoTo /D (subsection.2.2) >> % 21 0 obj -(2.2 Library contents) 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0 obj << /S /GoTo /D (subsubsection.3.1.9) >> % 77 0 obj -(3.1.9 CNV \204 convert internal storage format) +(\376\377\0003\000.\0001\000.\0009\000\040\000C\000N\000V\000\040\040\024\000\040\000c\000o\000n\000v\000e\000r\000t\000\040\000i\000n\000t\000e\000r\000n\000a\000l\000\040\000s\000t\000o\000r\000a\000g\000e\000\040\000f\000o\000r\000m\000a\000t) % 78 0 obj << /S /GoTo /D (subsubsection.3.1.10) >> % 81 0 obj -(3.1.10 psb\137cd\137get\137large\137threshold \204 Get threshold for index mapping switch) +(\376\377\0003\000.\0001\000.\0001\0000\000\040\000p\000s\000b\000\137\000c\000d\000\137\000g\000e\000t\000\137\000l\000a\000r\000g\000e\000\137\000t\000h\000r\000e\000s\000h\000o\000l\000d\000\040\040\024\000\040\000G\000e\000t\000\040\000t\000h\000r\000e\000s\000h\000o\000l\000d\000\040\000f\000o\000r\000\040\000i\000n\000d\000e\000x\000\040\000m\000a\000p\000p\000i\000n\000g\000\040\000s\000w\000i\000t\000c\000h) % 82 0 obj << /S /GoTo /D (subsubsection.3.1.11) >> % 85 0 obj 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(subsubsection.3.2.6) >> % 129 0 obj -(3.2.6 sizeof \204 Get memory occupation in bytes of a sparse matrix) +(\376\377\0003\000.\0002\000.\0006\000\040\000s\000i\000z\000e\000o\000f\000\040\040\024\000\040\000G\000e\000t\000\040\000m\000e\000m\000o\000r\000y\000\040\000o\000c\000c\000u\000p\000a\000t\000i\000o\000n\000\040\000i\000n\000\040\000b\000y\000t\000e\000s\000\040\000o\000f\000\040\000a\000\040\000s\000p\000a\000r\000s\000e\000\040\000m\000a\000t\000r\000i\000x) % 130 0 obj << /S /GoTo /D (subsubsection.3.2.7) >> % 133 0 obj -(3.2.7 get\137fmt \204 Short description of the dynamic type) +(\376\377\0003\000.\0002\000.\0007\000\040\000g\000e\000t\000\137\000f\000m\000t\000\040\040\024\000\040\000S\000h\000o\000r\000t\000\040\000d\000e\000s\000c\000r\000i\000p\000t\000i\000o\000n\000\040\000o\000f\000\040\000t\000h\000e\000\040\000d\000y\000n\000a\000m\000i\000c\000\040\000t\000y\000p\000e) % 134 0 obj << /S /GoTo /D (subsubsection.3.2.8) >> % 137 0 obj -(3.2.8 is\137bld, 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(subsection.4.3) >> % 234 0 obj -(4.3 psb\137gedots \204 Generalized Dot Product) +(\376\377\0004\000.\0003\000\040\000p\000s\000b\000\137\000g\000e\000d\000o\000t\000s\000\040\040\024\000\040\000G\000e\000n\000e\000r\000a\000l\000i\000z\000e\000d\000\040\000D\000o\000t\000\040\000P\000r\000o\000d\000u\000c\000t) % 235 0 obj << /S /GoTo /D (subsection.4.4) >> % 238 0 obj -(4.4 psb\137normi \204 Infinity-Norm of Vector) +(\376\377\0004\000.\0004\000\040\000p\000s\000b\000\137\000n\000o\000r\000m\000i\000\040\040\024\000\040\000I\000n\000f\000i\000n\000i\000t\000y\000-\000N\000o\000r\000m\000\040\000o\000f\000\040\000V\000e\000c\000t\000o\000r) % 239 0 obj << /S /GoTo /D (subsection.4.5) >> % 242 0 obj -(4.5 psb\137geamaxs \204 Generalized Infinity Norm) 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obj -(4.11 psb\137normi \204 Infinity Norm of Sparse Matrix) +(\376\377\0004\000.\0001\0001\000\040\000p\000s\000b\000\137\000n\000o\000r\000m\000i\000\040\040\024\000\040\000I\000n\000f\000i\000n\000i\000t\000y\000\040\000N\000o\000r\000m\000\040\000o\000f\000\040\000S\000p\000a\000r\000s\000e\000\040\000M\000a\000t\000r\000i\000x) % 267 0 obj << /S /GoTo /D (subsection.4.12) >> % 270 0 obj -(4.12 psb\137spmm \204 Sparse Matrix by Dense Matrix Product) +(\376\377\0004\000.\0001\0002\000\040\000p\000s\000b\000\137\000s\000p\000m\000m\000\040\040\024\000\040\000S\000p\000a\000r\000s\000e\000\040\000M\000a\000t\000r\000i\000x\000\040\000b\000y\000\040\000D\000e\000n\000s\000e\000\040\000M\000a\000t\000r\000i\000x\000\040\000P\000r\000o\000d\000u\000c\000t) % 271 0 obj << /S /GoTo /D (subsection.4.13) >> % 274 0 obj -(4.13 psb\137spsm \204 Triangular System Solve) 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/D (subsection.6.15) >> % 370 0 obj -(6.15 psb\137gefree \204 Frees a dense matrix) +(\376\377\0006\000.\0001\0005\000\040\000p\000s\000b\000\137\000g\000e\000f\000r\000e\000e\000\040\040\024\000\040\000F\000r\000e\000e\000s\000\040\000a\000\040\000d\000e\000n\000s\000e\000\040\000m\000a\000t\000r\000i\000x) % 371 0 obj << /S /GoTo /D (subsection.6.16) >> % 374 0 obj -(6.16 psb\137gelp \204 Applies a left permutation to a dense matrix) +(\376\377\0006\000.\0001\0006\000\040\000p\000s\000b\000\137\000g\000e\000l\000p\000\040\040\024\000\040\000A\000p\000p\000l\000i\000e\000s\000\040\000a\000\040\000l\000e\000f\000t\000\040\000p\000e\000r\000m\000u\000t\000a\000t\000i\000o\000n\000\040\000t\000o\000\040\000a\000\040\000d\000e\000n\000s\000e\000\040\000m\000a\000t\000r\000i\000x) % 375 0 obj << /S /GoTo /D (subsection.6.17) >> % 378 0 obj -(6.17 psb\137glob\137to\137loc \204 Global to local indices convertion) 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-344.532 cm BT -/F51 9.9626 Tf 365.51 263.211 Td [(by)-250(Salvatore)-250(Filippone)]TJ 14.396 -11.955 Td [(and)-250(Alfredo)-250(Buttari)]TJ/F54 9.9626 Tf 26.879 -11.955 Td [(Feb)-250(14th,)-250(2022)]TJ +/F54 9.9626 Tf 365.51 263.211 Td [(by)-250(Salvatore)-250(Filippone)]TJ 14.396 -11.955 Td [(and)-250(Alfredo)-250(Buttari)]TJ/F57 9.9626 Tf 26.879 -11.955 Td [(Feb)-250(14th,)-250(2022)]TJ 0 g 0 G 0 g 0 G ET @@ -547,7 +547,7 @@ stream 0 g 0 G 0 g 0 G BT -/F54 9.9626 Tf 320.07 90.438 Td [(2)]TJ +/F57 9.9626 Tf 320.07 90.438 Td [(2)]TJ 0 g 0 G ET @@ -561,9 +561,9 @@ stream 0 g 0 G 0 g 0 G BT -/F51 14.3462 Tf 99.895 706.042 Td [(Contents)]TJ +/F54 14.3462 Tf 99.895 706.042 Td [(Contents)]TJ 0 0 1 rg 0 0 1 RG -/F51 9.9626 Tf 0 -22.894 Td [(1)-1000(Introduction)]TJ +/F54 9.9626 Tf 0 -22.894 Td [(1)-1000(Introduction)]TJ 0 g 0 G [-26723(1)]TJ 0 0 1 rg 0 0 1 RG @@ -571,7 +571,7 @@ BT 0 g 0 G [-24361(2)]TJ 0 0 1 rg 0 0 1 RG -/F54 9.9626 Tf 14.944 -12.074 Td [(2.1)-1050(Basic)-250(Nomenclatur)18(e)]TJ +/F57 9.9626 Tf 14.944 -12.074 Td [(2.1)-1050(Basic)-250(Nomenclatur)18(e)]TJ 0 g 0 G [-339(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G @@ -606,11 +606,11 @@ BT [-2000(8)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -/F51 9.9626 Tf -14.944 -22.116 Td [(3)-1000(Data)-250(Structures)-250(and)-250(Classes)]TJ +/F54 9.9626 Tf -14.944 -22.116 Td [(3)-1000(Data)-250(Structures)-250(and)-250(Classes)]TJ 0 g 0 G [-19810(9)]TJ 0 0 1 rg 0 0 1 RG -/F54 9.9626 Tf 14.944 -12.074 Td [(3.1)-1050(Descriptor)-250(data)-250(str)8(uctur)18(e)]TJ +/F57 9.9626 Tf 14.944 -12.074 Td [(3.1)-1050(Descriptor)-250(data)-250(str)8(uctur)18(e)]TJ 0 g 0 G [-369(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G @@ -631,14 +631,14 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[(thr)18(eshold)-190(\227)-190(Set)-190(thr)18(eshold)-190(for)-190(index)-190(map-)]TJ -74.769 -11.955 Td [(ping)-250(switch)]TJ 0 g 0 G [-819(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G @@ -834,14 +834,14 @@ q []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 186.779 397.673 Td [(p)]TJ +/F57 9.9626 Tf 186.779 397.673 Td [(p)]TJ ET q 1 0 0 1 193.364 397.872 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 196.353 397.673 Td [(adjcncy)-250(\227)-250(Get)-250(pr)18(ocess)-250(adjacency)-250(list)]TJ +/F57 9.9626 Tf 196.353 397.673 Td [(adjcncy)-250(\227)-250(Get)-250(pr)18(ocess)-250(adjacency)-250(list)]TJ 0 g 0 G [-652(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G @@ -855,14 +855,14 @@ q []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 185.464 385.599 Td [(p)]TJ +/F57 9.9626 Tf 185.464 385.599 Td [(p)]TJ ET q 1 0 0 1 192.049 385.798 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 195.038 385.599 Td [(adjcncy)-250(\227)-250(Set)-250(pr)18(ocess)-250(adjacency)-250(list)]TJ +/F57 9.9626 Tf 195.038 385.599 Td [(adjcncy)-250(\227)-250(Set)-250(pr)18(ocess)-250(adjacency)-250(list)]TJ 0 g 0 G [-272(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G @@ -876,7 +876,7 @@ q []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 188.423 373.524 Td [(owner)-250(\227)-250(Find)-250(the)-250(owner)-250(pr)18(ocess)-250(of)-250(a)-250(set)-250(of)-250(indices)]TJ +/F57 9.9626 Tf 188.423 373.524 Td [(owner)-250(\227)-250(Find)-250(the)-250(owner)-250(pr)18(ocess)-250(of)-250(a)-250(set)-250(of)-250(indices)]TJ 0 g 0 G [-361(.)]TJ 0 g 0 G @@ -911,7 +911,7 @@ q []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 186.779 325.228 Td [(nr)18(ows)-250(\227)-250(Get)-250(number)-250(of)-250(r)18(ows)-250(in)-250(a)-250(sparse)-250(matrix)]TJ +/F57 9.9626 Tf 186.779 325.228 Td [(nr)18(ows)-250(\227)-250(Get)-250(number)-250(of)-250(r)18(ows)-250(in)-250(a)-250(sparse)-250(matrix)]TJ 0 g 0 G [-286(.)-500(.)-500(.)]TJ 0 g 0 G @@ -925,7 +925,7 @@ q []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 186.779 313.154 Td [(ncols)-250(\227)-250(Get)-250(number)-250(of)-250(columns)-250(in)-250(a)-250(sparse)-250(matrix)]TJ +/F57 9.9626 Tf 186.779 313.154 Td [(ncols)-250(\227)-250(Get)-250(number)-250(of)-250(columns)-250(in)-250(a)-250(sparse)-250(matrix)]TJ 0 g 0 G [-670(.)]TJ 0 g 0 G @@ -939,7 +939,7 @@ q []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 186.779 301.08 Td [(nnzer)18(os)-190(\227)-190(Get)-190(number)-190(of)-190(nonzer)18(o)-190(elements)-190(in)-190(a)-190(sparse)]TJ -17.145 -11.955 Td [(matrix)]TJ +/F57 9.9626 Tf 186.779 301.08 Td [(nnzer)18(os)-190(\227)-190(Get)-190(number)-190(of)-190(nonzer)18(o)-190(elements)-190(in)-190(a)-190(sparse)]TJ -17.145 -11.955 Td [(matrix)]TJ 0 g 0 G 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m 2.989 0 l S Q BT -/F54 9.9626 Tf 180.344 204.844 Td [(lower)74(,)-250(is)]TJ +/F57 9.9626 Tf 180.344 204.844 Td [(lower)74(,)-250(is)]TJ ET q 1 0 0 1 217.663 205.043 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 220.652 204.844 Td [(upper)74(,)-250(is)]TJ +/F57 9.9626 Tf 220.652 204.844 Td [(upper)74(,)-250(is)]TJ ET q 1 0 0 1 259.306 205.043 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 262.295 204.844 Td [(triangle,)-250(is)]TJ +/F57 9.9626 Tf 262.295 204.844 Td [(triangle,)-250(is)]TJ ET q 1 0 0 1 309.069 205.043 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 312.058 204.844 Td [(unit)-250(\227)-250(Format)-250(check)]TJ +/F57 9.9626 Tf 312.058 204.844 Td [(unit)-250(\227)-250(Format)-250(check)]TJ 0 g 0 G [-441(.)-500(.)]TJ 0 g 0 G @@ -1065,7 +1065,7 @@ q []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 196.094 168.622 Td [(zer)18(os)-250(\227)-250(Eliminate)-250(zer)18(o)-250(coef)18(\002cients)]TJ +/F57 9.9626 Tf 196.094 168.622 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(section.9) >> % 515 0 obj -(9 Utilities) +(\376\377\0009\000\040\000U\000t\000i\000l\000i\000t\000i\000e\000s) % 516 0 obj << /S /GoTo /D (subsection.9.1) >> % 519 0 obj -(9.1 \040hb\137read \204 Read a sparse matrix from a file in the Harwell\205Boeing format) +(\376\377\0009\000.\0001\000\040\000\040\000h\000b\000\137\000r\000e\000a\000d\000\040\040\024\000\040\000R\000e\000a\000d\000\040\000a\000\040\000s\000p\000a\000r\000s\000e\000\040\000m\000a\000t\000r\000i\000x\000\040\000f\000r\000o\000m\000\040\000a\000\040\000f\000i\000l\000e\000\040\000i\000n\000\040\000t\000h\000e\000\040\000H\000a\000r\000w\000e\000l\000l\040\023\000B\000o\000e\000i\000n\000g\000\040\000f\000o\000r\000m\000a\000t) % 520 0 obj << /S /GoTo /D (subsection.9.2) >> % 523 0 obj -(9.2 hb\137write \204 Write a sparse matrix to a file in the Harwell\205Boeing format) 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[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 207.87 514.888 Td [(gedots)-250(\227)-250(Generalized)-250(Dot)-250(Pr)18(oduct)]TJ +/F57 9.9626 Tf 207.87 514.888 Td [(gedots)-250(\227)-250(Generalized)-250(Dot)-250(Pr)18(oduct)]TJ 0 g 0 G [-793(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G @@ -1575,7 +1575,7 @@ q []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 207.87 502.808 Td [(normi)-250(\227)-250(In\002nity-Norm)-250(of)-250(V)111(ector)]TJ +/F57 9.9626 Tf 207.87 502.808 Td [(normi)-250(\227)-250(In\002nity-Norm)-250(of)-250(V)111(ector)]TJ 0 g 0 G [-868(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G @@ -1589,7 +1589,7 @@ q []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 207.87 490.728 Td [(geamaxs)-250(\227)-250(Generalized)-250(In\002nity)-250(Norm)]TJ +/F57 9.9626 Tf 207.87 490.728 Td [(geamaxs)-250(\227)-250(Generalized)-250(In\002nity)-250(Norm)]TJ 0 g 0 G [-600(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G @@ -1603,7 +1603,7 @@ q []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 207.87 478.649 Td [(norm1)-250(\227)-250(1-Norm)-250(of)-250(V)111(ector)]TJ +/F57 9.9626 Tf 207.87 478.649 Td [(norm1)-250(\227)-250(1-Norm)-250(of)-250(V)111(ector)]TJ 0 g 0 G [-438(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G @@ -1617,7 +1617,7 @@ q []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 207.87 466.569 Td [(geasums)-250(\227)-250(Generalized)-250(1-Norm)-250(of)-250(V)111(ector)]TJ +/F57 9.9626 Tf 207.87 466.569 Td [(geasums)-250(\227)-250(Generalized)-250(1-Norm)-250(of)-250(V)111(ector)]TJ 0 g 0 G [-605(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G @@ -1631,7 +1631,7 @@ q []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 207.87 454.489 Td [(norm2)-250(\227)-250(2-Norm)-250(of)-250(V)111(ector)]TJ +/F57 9.9626 Tf 207.87 454.489 Td [(norm2)-250(\227)-250(2-Norm)-250(of)-250(V)111(ector)]TJ 0 g 0 G [-438(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G @@ -1645,7 +1645,7 @@ q []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 207.87 442.409 Td [(genrm2s)-250(\227)-250(Generalized)-250(2-Norm)-250(of)-250(V)111(ector)]TJ +/F57 9.9626 Tf 207.87 442.409 Td [(genrm2s)-250(\227)-250(Generalized)-250(2-Norm)-250(of)-250(V)111(ector)]TJ 0 g 0 G [-655(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G @@ -1659,7 +1659,7 @@ q []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 207.87 430.33 Td [(norm1)-250(\227)-250(1-Norm)-250(of)-250(Sparse)-250(Matrix)]TJ +/F57 9.9626 Tf 207.87 430.33 Td [(norm1)-250(\227)-250(1-Norm)-250(of)-250(Sparse)-250(Matrix)]TJ 0 g 0 G [-841(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G @@ -1673,7 +1673,7 @@ q []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 207.87 418.25 Td [(normi)-250(\227)-250(In\002nity)-250(Norm)-250(of)-250(Sparse)-250(Matrix)]TJ +/F57 9.9626 Tf 207.87 418.25 Td [(normi)-250(\227)-250(In\002nity)-250(Norm)-250(of)-250(Sparse)-250(Matrix)]TJ 0 g 0 G [-604(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G @@ -1687,7 +1687,7 @@ q []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 207.87 406.17 Td [(spmm)-250(\227)-250(Sparse)-250(Matrix)-250(by)-250(Dense)-250(Matrix)-250(Pr)18(oduct)]TJ +/F57 9.9626 Tf 207.87 406.17 Td [(spmm)-250(\227)-250(Sparse)-250(Matrix)-250(by)-250(Dense)-250(Matrix)-250(Pr)18(oduct)]TJ 0 g 0 G [-491(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G @@ -1701,7 +1701,7 @@ q []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 207.87 394.091 Td [(spsm)-250(\227)-250(T)90(riangular)-250(System)-250(Solve)]TJ +/F57 9.9626 Tf 207.87 394.091 Td [(spsm)-250(\227)-250(T)90(riangular)-250(System)-250(Solve)]TJ 0 g 0 G [-945(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G @@ -1715,7 +1715,7 @@ q []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 207.87 382.011 Td [(gemlt)-250(\227)-250(Entrywise)-250(Pr)18(oduct)]TJ +/F57 9.9626 Tf 207.87 382.011 Td [(gemlt)-250(\227)-250(Entrywise)-250(Pr)18(oduct)]TJ 0 g 0 G [-968(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G @@ -1729,7 +1729,7 @@ q []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 207.87 369.931 Td [(gediv)-250(\227)-250(Entrywise)-250(Division)]TJ +/F57 9.9626 Tf 207.87 369.931 Td [(gediv)-250(\227)-250(Entrywise)-250(Division)]TJ 0 g 0 G [-748(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G @@ -1743,25 +1743,25 @@ q []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 207.87 357.852 Td [(geinv)-250(\227)-250(Entrywise)-250(Inversion)]TJ +/F57 9.9626 Tf 207.87 357.852 Td [(geinv)-250(\227)-250(Entrywise)-250(Inversion)]TJ 0 g 0 G [-340(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G [-1500(57)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -/F51 9.9626 Tf -57.165 -22.126 Td [(5)-1000(Communication)-250(routines)]TJ +/F54 9.9626 Tf -57.165 -22.126 Td [(5)-1000(Communication)-250(routines)]TJ 0 g 0 G [-20585(58)]TJ 0 0 1 rg 0 0 1 RG -/F54 9.9626 Tf 14.944 -12.079 Td [(5.1)-1050(psb)]TJ +/F57 9.9626 Tf 14.944 -12.079 Td [(5.1)-1050(psb)]TJ ET q 1 0 0 1 204.881 323.846 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 207.87 323.647 Td [(halo)-250(\227)-250(Halo)-250(Data)-250(Communication)]TJ +/F57 9.9626 Tf 207.87 323.647 Td [(halo)-250(\227)-250(Halo)-250(Data)-250(Communication)]TJ 0 g 0 G [-888(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G @@ -1775,7 +1775,7 @@ q []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 207.87 311.567 Td [(ovrl)-250(\227)-250(Overlap)-250(Update)]TJ +/F57 9.9626 Tf 207.87 311.567 Td [(ovrl)-250(\227)-250(Overlap)-250(Update)]TJ 0 g 0 G [-553(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G @@ -1789,7 +1789,7 @@ q []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 207.87 299.487 Td [(gather)-250(\227)-250(Gather)-250(Global)-250(Dense)-250(Matrix)]TJ +/F57 9.9626 Tf 207.87 299.487 Td [(gather)-250(\227)-250(Gather)-250(Global)-250(Dense)-250(Matrix)]TJ 0 g 0 G [-973(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G @@ -1803,25 +1803,25 @@ q []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 207.87 287.407 Td [(scatter)-250(\227)-250(Scatter)-250(Global)-250(Dense)-250(Matrix)]TJ +/F57 9.9626 Tf 207.87 287.407 Td [(scatter)-250(\227)-250(Scatter)-250(Global)-250(Dense)-250(Matrix)]TJ 0 g 0 G [-967(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G [-1500(68)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -/F51 9.9626 Tf -57.165 -22.125 Td [(6)-1000(Data)-250(management)-250(routines)]TJ +/F54 9.9626 Tf -57.165 -22.125 Td [(6)-1000(Data)-250(management)-250(routines)]TJ 0 g 0 G [-19668(70)]TJ 0 0 1 rg 0 0 1 RG -/F54 9.9626 Tf 14.944 -12.08 Td [(6.1)-1050(psb)]TJ +/F57 9.9626 Tf 14.944 -12.08 Td [(6.1)-1050(psb)]TJ ET q 1 0 0 1 204.881 253.402 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 207.87 253.202 Td [(cdall)-250(\227)-250(Allocates)-250(a)-250(communication)-250(descriptor)]TJ +/F57 9.9626 Tf 207.87 253.202 Td [(cdall)-250(\227)-250(Allocates)-250(a)-250(communication)-250(descriptor)]TJ 0 g 0 G [-363(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G @@ -1835,7 +1835,7 @@ q []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 207.87 241.123 Td [(cdins)-250(\227)-250(Communication)-250(descriptor)-250(insert)-250(r)18(outine)]TJ +/F57 9.9626 Tf 207.87 241.123 Td [(cdins)-250(\227)-250(Communication)-250(descriptor)-250(insert)-250(r)18(outine)]TJ 0 g 0 G [-261(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G @@ -1849,7 +1849,7 @@ q []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 207.87 229.043 Td [(cdasb)-250(\227)-250(Communication)-250(descriptor)-250(assembly)-250(r)18(outine)]TJ +/F57 9.9626 Tf 207.87 229.043 Td [(cdasb)-250(\227)-250(Communication)-250(descriptor)-250(assembly)-250(r)18(outine)]TJ 0 g 0 G [-718(.)-500(.)-500(.)]TJ 0 g 0 G @@ -1863,7 +1863,7 @@ q []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 207.87 216.963 Td [(cdcpy)-250(\227)-250(Copies)-250(a)-250(communication)-250(descriptor)]TJ +/F57 9.9626 Tf 207.87 216.963 Td [(cdcpy)-250(\227)-250(Copies)-250(a)-250(communication)-250(descriptor)]TJ 0 g 0 G [-873(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G @@ -1877,7 +1877,7 @@ q []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 207.87 204.884 Td [(cdfr)18(ee)-250(\227)-250(Fr)18(ees)-250(a)-250(communication)-250(descriptor)]TJ +/F57 9.9626 Tf 207.87 204.884 Td [(cdfr)18(ee)-250(\227)-250(Fr)18(ees)-250(a)-250(communication)-250(descriptor)]TJ 0 g 0 G [-791(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G @@ -1891,7 +1891,7 @@ q []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 207.87 192.804 Td [(cdbldext)-250(\227)-250(Build)-250(an)-250(extended)-250(communication)-250(descriptor)]TJ +/F57 9.9626 Tf 207.87 192.804 Td [(cdbldext)-250(\227)-250(Build)-250(an)-250(extended)-250(communication)-250(descriptor)]TJ 0 g 0 G [-676(.)]TJ 0 g 0 G @@ -1905,7 +1905,7 @@ q []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 207.87 180.724 Td [(spall)-250(\227)-250(Allocates)-250(a)-250(sparse)-250(matrix)]TJ +/F57 9.9626 Tf 207.87 180.724 Td [(spall)-250(\227)-250(Allocates)-250(a)-250(sparse)-250(matrix)]TJ 0 g 0 G [-842(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G @@ -1919,7 +1919,7 @@ q []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 207.87 168.644 Td [(spins)-250(\227)-250(Insert)-250(a)-250(set)-250(of)-250(coef)18(\002cients)-250(into)-250(a)-250(sparse)-250(matrix)]TJ +/F57 9.9626 Tf 207.87 168.644 Td [(spins)-250(\227)-250(Insert)-250(a)-250(set)-250(of)-250(coef)18(\002cients)-250(into)-250(a)-250(sparse)-250(matrix)]TJ 0 g 0 G [-625(.)-500(.)-500(.)]TJ 0 g 0 G @@ -1933,7 +1933,7 @@ q []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 207.87 156.565 Td [(spasb)-250(\227)-250(Sparse)-250(matrix)-250(assembly)-250(r)18(outine)]TJ +/F57 9.9626 Tf 207.87 156.565 Td [(spasb)-250(\227)-250(Sparse)-250(matrix)-250(assembly)-250(r)18(outine)]TJ 0 g 0 G [-611(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G @@ -1947,7 +1947,7 @@ q []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 207.87 144.485 Td [(spfr)18(ee)-250(\227)-250(Fr)18(ees)-250(a)-250(sparse)-250(matrix)]TJ +/F57 9.9626 Tf 207.87 144.485 Td [(spfr)18(ee)-250(\227)-250(Fr)18(ees)-250(a)-250(sparse)-250(matrix)]TJ 0 g 0 G [-520(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G @@ -1961,7 +1961,7 @@ q []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 207.87 132.405 Td [(sprn)-250(\227)-250(Reinit)-250(sparse)-250(matrix)-250(str)8(uctur)18(e)-250(for)-250(psblas)-250(r)18(outines.)]TJ +/F57 9.9626 Tf 207.87 132.405 Td [(sprn)-250(\227)-250(Reinit)-250(sparse)-250(matrix)-250(str)8(uctur)18(e)-250(for)-250(psblas)-250(r)18(outines.)]TJ 0 g 0 G [-725(.)]TJ 0 g 0 G @@ -1975,7 +1975,7 @@ q []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 207.87 120.326 Td [(geall)-250(\227)-250(Allocates)-250(a)-250(dense)-250(matrix)]TJ +/F57 9.9626 Tf 207.87 120.326 Td [(geall)-250(\227)-250(Allocates)-250(a)-250(dense)-250(matrix)]TJ 0 g 0 G [-330(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G @@ -1997,14 +1997,14 @@ stream 0 g 0 G 0 0 1 rg 0 0 1 RG BT -/F54 9.9626 Tf 114.839 706.129 Td [(6.13)-550(psb)]TJ +/F57 9.9626 Tf 114.839 706.129 Td [(6.13)-550(psb)]TJ ET q 1 0 0 1 154.072 706.328 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 157.061 706.129 Td [(geins)-250(\227)-250(Dense)-250(matrix)-250(insertion)-250(r)18(outine)]TJ +/F57 9.9626 Tf 157.061 706.129 Td [(geins)-250(\227)-250(Dense)-250(matrix)-250(insertion)-250(r)18(outine)]TJ 0 g 0 G [-411(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G @@ -2018,7 +2018,7 @@ q []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 157.061 694.035 Td [(geasb)-250(\227)-250(Assembly)-250(a)-250(dense)-250(matrix)]TJ +/F57 9.9626 Tf 157.061 694.035 Td [(geasb)-250(\227)-250(Assembly)-250(a)-250(dense)-250(matrix)]TJ 0 g 0 G [-376(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G @@ -2032,7 +2032,7 @@ q []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 157.061 681.941 Td [(gefr)18(ee)-250(\227)-250(Fr)18(ees)-250(a)-250(dense)-250(matrix)]TJ +/F57 9.9626 Tf 157.061 681.941 Td [(gefr)18(ee)-250(\227)-250(Fr)18(ees)-250(a)-250(dense)-250(matrix)]TJ 0 g 0 G [-758(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G @@ -2046,7 +2046,7 @@ q []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 157.061 669.846 Td [(gelp)-250(\227)-250(Applies)-250(a)-250(left)-250(permutation)-250(to)-250(a)-250(dense)-250(matrix)]TJ +/F57 9.9626 Tf 157.061 669.846 Td [(gelp)-250(\227)-250(Applies)-250(a)-250(left)-250(permutation)-250(to)-250(a)-250(dense)-250(matrix)]TJ 0 g 0 G [-801(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G @@ -2060,21 +2060,21 @@ q []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 157.061 657.752 Td [(glob)]TJ +/F57 9.9626 Tf 157.061 657.752 Td [(glob)]TJ ET q 1 0 0 1 177.046 657.951 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 180.034 657.752 Td [(to)]TJ +/F57 9.9626 Tf 180.034 657.752 Td [(to)]TJ ET q 1 0 0 1 189.319 657.951 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 192.308 657.752 Td [(loc)-250(\227)-250(Global)-250(to)-250(local)-250(indices)-250(convertion)]TJ +/F57 9.9626 Tf 192.308 657.752 Td [(loc)-250(\227)-250(Global)-250(to)-250(local)-250(indices)-250(convertion)]TJ 0 g 0 G [-427(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G @@ -2088,21 +2088,21 @@ q []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 157.061 645.658 Td [(loc)]TJ +/F57 9.9626 Tf 157.061 645.658 Td [(loc)]TJ ET q 1 0 0 1 170.42 645.857 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 173.409 645.658 Td [(to)]TJ +/F57 9.9626 Tf 173.409 645.658 Td [(to)]TJ ET q 1 0 0 1 182.694 645.857 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 185.683 645.658 Td [(glob)-250(\227)-250(Local)-250(to)-250(global)-250(indices)-250(conversion)]TJ +/F57 9.9626 Tf 185.683 645.658 Td [(glob)-250(\227)-250(Local)-250(to)-250(global)-250(indices)-250(conversion)]TJ 0 g 0 G [-966(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G @@ -2116,14 +2116,14 @@ q []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 157.061 633.564 Td [(is)]TJ +/F57 9.9626 Tf 157.061 633.564 Td [(is)]TJ ET q 1 0 0 1 164.782 633.763 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 167.771 633.564 Td [(owned)-250(\227)]TJ +/F57 9.9626 Tf 167.771 633.564 Td [(owned)-250(\227)]TJ 0 g 0 G [-1135(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G @@ -2137,14 +2137,14 @@ q []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 157.061 621.47 Td [(owned)]TJ +/F57 9.9626 Tf 157.061 621.47 Td [(owned)]TJ ET q 1 0 0 1 188.064 621.669 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 191.053 621.47 Td [(index)-250(\227)]TJ +/F57 9.9626 Tf 191.053 621.47 Td [(index)-250(\227)]TJ 0 g 0 G [-871(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G @@ -2158,14 +2158,14 @@ q []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 157.061 609.375 Td [(is)]TJ +/F57 9.9626 Tf 157.061 609.375 Td [(is)]TJ ET q 1 0 0 1 164.782 609.575 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 167.771 609.375 Td [(local)-250(\227)]TJ +/F57 9.9626 Tf 167.771 609.375 Td [(local)-250(\227)]TJ 0 g 0 G [-615(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G @@ -2179,14 +2179,14 @@ q []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 157.061 597.281 Td [(local)]TJ +/F57 9.9626 Tf 157.061 597.281 Td [(local)]TJ ET q 1 0 0 1 178.301 597.481 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 181.29 597.281 Td [(index)-250(\227)]TJ +/F57 9.9626 Tf 181.29 597.281 Td [(index)-250(\227)]TJ 0 g 0 G [-1101(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G @@ -2200,14 +2200,14 @@ q []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 157.061 585.187 Td [(get)]TJ +/F57 9.9626 Tf 157.061 585.187 Td [(get)]TJ ET q 1 0 0 1 171.217 585.386 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 174.206 585.187 Td [(boundary)-250(\227)-250(Extract)-250(list)-250(of)-250(boundary)-250(elements)]TJ +/F57 9.9626 Tf 174.206 585.187 Td [(boundary)-250(\227)-250(Extract)-250(list)-250(of)-250(boundary)-250(elements)]TJ 0 g 0 G [-827(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G @@ -2221,14 +2221,14 @@ q []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 157.061 573.093 Td [(get)]TJ +/F57 9.9626 Tf 157.061 573.093 Td [(get)]TJ ET q 1 0 0 1 171.217 573.292 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 174.206 573.093 Td [(overlap)-250(\227)-250(Extract)-250(list)-250(of)-250(overlap)-250(elements)]TJ +/F57 9.9626 Tf 174.206 573.093 Td [(overlap)-250(\227)-250(Extract)-250(list)-250(of)-250(overlap)-250(elements)]TJ 0 g 0 G [-515(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G @@ -2242,14 +2242,14 @@ q []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 157.061 560.999 Td [(sp)]TJ +/F57 9.9626 Tf 157.061 560.999 Td [(sp)]TJ ET q 1 0 0 1 167.87 561.198 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 170.859 560.999 Td [(getr)18(ow)-250(\227)-250(Extract)-250(r)18(ow\050s\051)-250(fr)18(om)-250(a)-250(sparse)-250(matrix)]TJ +/F57 9.9626 Tf 170.859 560.999 Td [(getr)18(ow)-250(\227)-250(Extract)-250(r)18(ow\050s\051)-250(fr)18(om)-250(a)-250(sparse)-250(matrix)]TJ 0 g 0 G [-671(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G @@ -2263,7 +2263,7 @@ q []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 157.061 548.905 Td [(sizeof)-250(\227)-250(Memory)-250(occupation)]TJ +/F57 9.9626 Tf 157.061 548.905 Td [(sizeof)-250(\227)-250(Memory)-250(occupation)]TJ 0 g 0 G [-251(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G @@ -2277,18 +2277,18 @@ BT [-1000(107)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -/F51 9.9626 Tf -14.944 -22.149 Td [(7)-1000(Parallel)-250(environment)-250(routines)]TJ +/F54 9.9626 Tf -14.944 -22.149 Td [(7)-1000(Parallel)-250(environment)-250(routines)]TJ 0 g 0 G [-17835(109)]TJ 0 0 1 rg 0 0 1 RG -/F54 9.9626 Tf 14.944 -12.094 Td [(7.1)-1050(psb)]TJ +/F57 9.9626 Tf 14.944 -12.094 Td [(7.1)-1050(psb)]TJ ET q 1 0 0 1 154.072 502.766 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 157.061 502.567 Td [(init)-250(\227)-250(Initializes)-250(PSBLAS)-250(parallel)-250(envir)18(onment)]TJ +/F57 9.9626 Tf 157.061 502.567 Td [(init)-250(\227)-250(Initializes)-250(PSBLAS)-250(parallel)-250(envir)18(onment)]TJ 0 g 0 G [-766(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G @@ -2302,7 +2302,7 @@ q []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 157.061 490.472 Td [(info)-264(\227)-264(Return)-264(information)-264(abou)1(t)-264(PSBLAS)-264(parallel)-264(envir)18(on-)]TJ -19.308 -11.955 Td [(ment)]TJ +/F57 9.9626 Tf 157.061 490.472 Td [(info)-264(\227)-264(Return)-264(information)-264(abou)1(t)-264(PSBLAS)-264(parallel)-264(envir)18(on-)]TJ -19.308 -11.955 Td [(ment)]TJ 0 g 0 G [-930(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G @@ -2316,7 +2316,7 @@ q []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 157.061 466.423 Td [(exit)-250(\227)-250(Exit)-250(fr)18(om)-250(PSBLAS)-250(parallel)-250(envir)18(onment)]TJ +/F57 9.9626 Tf 157.061 466.423 Td [(exit)-250(\227)-250(Exit)-250(fr)18(om)-250(PSBLAS)-250(parallel)-250(envir)18(onment)]TJ 0 g 0 G [-823(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G @@ -2330,21 +2330,21 @@ q []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 157.061 454.329 Td [(get)]TJ +/F57 9.9626 Tf 157.061 454.329 Td [(get)]TJ ET q 1 0 0 1 171.217 454.528 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 174.206 454.329 Td [(mpi)]TJ +/F57 9.9626 Tf 174.206 454.329 Td [(mpi)]TJ ET q 1 0 0 1 192.487 454.528 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 195.476 454.329 Td [(comm)-250(\227)-250(Get)-250(the)-250(MPI)-250(communicator)]TJ +/F57 9.9626 Tf 195.476 454.329 Td [(comm)-250(\227)-250(Get)-250(the)-250(MPI)-250(communicator)]TJ 0 g 0 G [-615(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G @@ -2358,21 +2358,21 @@ q []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 157.061 442.235 Td [(get)]TJ +/F57 9.9626 Tf 157.061 442.235 Td [(get)]TJ ET q 1 0 0 1 171.217 442.434 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 174.206 442.235 Td [(mpi)]TJ +/F57 9.9626 Tf 174.206 442.235 Td [(mpi)]TJ ET q 1 0 0 1 192.487 442.434 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 195.476 442.235 Td [(rank)-250(\227)-250(Get)-250(the)-250(MPI)-250(rank)]TJ +/F57 9.9626 Tf 195.476 442.235 Td [(rank)-250(\227)-250(Get)-250(the)-250(MPI)-250(rank)]TJ 0 g 0 G [-498(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G @@ -2386,7 +2386,7 @@ q []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 157.061 430.141 Td [(wtime)-250(\227)-250(W)92(all)-250(clock)-250(timing)]TJ +/F57 9.9626 Tf 157.061 430.141 Td [(wtime)-250(\227)-250(W)92(all)-250(clock)-250(timing)]TJ 0 g 0 G [-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G @@ -2400,7 +2400,7 @@ q []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 157.061 418.046 Td [(barrier)-250(\227)-250(Sinchr)18(onization)-250(point)-250(parallel)-250(envir)18(onment)]TJ +/F57 9.9626 Tf 157.061 418.046 Td [(barrier)-250(\227)-250(Sinchr)18(onization)-250(point)-250(parallel)-250(envir)18(onment)]TJ 0 g 0 G [-903(.)-500(.)-500(.)]TJ 0 g 0 G @@ -2414,7 +2414,7 @@ q []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 157.061 405.952 Td [(abort)-250(\227)-250(Abort)-250(a)-250(computation)]TJ +/F57 9.9626 Tf 157.061 405.952 Td [(abort)-250(\227)-250(Abort)-250(a)-250(computation)]TJ 0 g 0 G [-946(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G @@ -2428,7 +2428,7 @@ q []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 157.061 393.858 Td [(bcast)-250(\227)-250(Br)18(oadcast)-250(data)]TJ +/F57 9.9626 Tf 157.061 393.858 Td [(bcast)-250(\227)-250(Br)18(oadcast)-250(data)]TJ 0 g 0 G [-739(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G @@ -2442,7 +2442,7 @@ q []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 157.061 381.764 Td [(sum)-250(\227)-250(Global)-250(sum)]TJ +/F57 9.9626 Tf 157.061 381.764 Td [(sum)-250(\227)-250(Global)-250(sum)]TJ 0 g 0 G [-998(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G @@ -2456,7 +2456,7 @@ q []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 157.061 369.67 Td [(max)-250(\227)-250(Global)-250(maximum)]TJ +/F57 9.9626 Tf 157.061 369.67 Td [(max)-250(\227)-250(Global)-250(maximum)]TJ 0 g 0 G [-610(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G @@ -2470,7 +2470,7 @@ q []0 d 0 J 0.398 w 0 0 m 2.989 0 l 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Td [(of)-356(the)-356(r)18(est)-356(of)-357(the)-356(solver)74(.)-628(Finding)-356(the)-357(o)1(ptimal)-357(trade-of)18(f)-356(may)-356(be)-356(very)-356(dif)18(\002cult)]TJ 0 -11.955 Td [(because)-292(it)-291(is)-292(application)-291(dependent.)-435(Possible)-292(solutions)-291(to)-292(these)-292(pr)18(oblems)-291(and)]TJ 0 -11.956 Td [(other)-342(important)-342(inputs)-342(to)-342(the)-342(development)-342(of)-341(the)-342(PSBLAS)-342(softwar)18(e)-342(package)]TJ 0 g 0 G 169.365 -29.887 Td [(1)]TJ 0 g 0 G @@ -3690,7 +3690,7 @@ stream 0 g 0 G 0 g 0 G BT -/F54 9.9626 Tf 150.705 706.129 Td [(have)-292(come)-291(fr)18(om)-292(an)-292(established)-291(experience)-292(in)-292(applying)-291(the)-292(PSBLAS)-291(solvers)-292(to)]TJ 0 -11.955 Td [(computational)-250(\003uid)-250(dynamics)-250(applications.)]TJ/F51 14.3462 Tf 0 -33.474 Td [(2)-1000(General)-250(overview)]TJ/F54 9.9626 Tf 0 -22.702 Td 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[(The)-190(PSBLAS)-190(library)-190(is)-190(designed)-190(to)-190(handle)-190(the)-190(implementation)-190(of)-190(iterative)-190(solvers)]TJ 0 -11.955 Td [(for)-275(sparse)-275(linear)-275(systems)-275(on)-275(distributed)-275(memory)-274(parallel)-275(computers.)-385(The)-275(sys-)]TJ 0 -11.955 Td [(tem)-307(coef)18(\002cient)-308(matrix)]TJ/F55 9.9626 Tf 100.571 0 Td [(A)]TJ/F57 9.9626 Tf 10.381 0 Td [(must)-307(be)-308(squar)18(e;)-336(it)-308(may)-307(be)-308(r)18(eal)-307(or)-307(complex,)-322(nonsym-)]TJ -110.952 -11.955 Td [(metric,)-301(and)-291(its)-291(sparsity)-291(pattern)-291(needs)-291(not)-291(to)-291(be)-291(symmetric.)-433(The)-291(serial)-291(compu-)]TJ 0 -11.955 Td [(tation)-240(parts)-239(ar)18(e)-240(based)-240(on)-239(the)-240(serial)-240(sparse)-239(BLAS,)-240(so)-240(that)-239(any)-240(extension)-239(made)-240(to)]TJ 0 -11.956 Td [(the)-258(data)-258(str)8(uctur)18(es)-259(of)-258(the)-258(serial)-258(kernels)-258(is)-259(available)-258(to)-258(the)-258(parallel)-258(version.)-335(The)]TJ 0 -11.955 Td [(overall)-294(design)-294(and)-294(parallelization)-294(strategy)-294(have)-294(been)-294(in\003uenced)-294(by)-294(the)-294(str)8(uc-)]TJ 0 -11.955 Td [(tur)18(e)-306(of)-307(the)-306(ScaLAP)92(ACK)-306(parallel)-307(library)111(.)-479(The)-306(layer)18(ed)-306(str)8(uctur)18(e)-306(of)-307(the)-306(PSBLAS)]TJ 0 -11.955 Td [(library)-349(is)-349(shown)-348(in)-349(\002gur)18(e)]TJ 0 0 1 rg 0 0 1 RG [-349(1)]TJ 0 g 0 G @@ -3718,7 +3718,7 @@ Q 0 g 0 G 1 0 0 1 -258.536 -281.98 cm BT -/F54 9.9626 Tf 216.385 250.1 Td [(Figur)18(e)-250(1:)-310(PSBLAS)-250(library)-250(components)-250(hierar)18(chy)111(.)]TJ +/F57 9.9626 Tf 216.385 250.1 Td [(Figur)18(e)-250(1:)-310(PSBLAS)-250(library)-250(components)-250(hierar)18(chy)111(.)]TJ 0 g 0 G 0 g 0 G -50.736 -22.178 Td 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[(matrices,)-257(that)-255(is,)-257(the)-255(entries)-255(of)-256(a)-255(vector)-255(follow)-256(the)-255(same)-255(distribution)-256(of)-255(the)-255(ma-)]TJ 0 -11.955 Td [(trix)-250(r)18(ows.)]TJ 14.944 -12.648 Td [(W)92(e)-343(assume)-344(that)-343(the)-344(sparse)-343(matrix)-343(is)-344(built)-343(in)-344(parallel,)-366(wher)18(e)-344(each)-343(pr)18(ocess)]TJ -14.944 -11.955 Td [(generates)-254(its)-254(own)-255(portion.)-322(W)92(e)-255(never)-254(r)18(equir)18(e)-254(that)-254(the)-255(entir)18(e)-254(matrix)-254(be)-254(available)]TJ 0 -11.955 Td [(on)-288(a)-288(single)-288(node.)-423(However)74(,)-298(it)-287(is)-288(possible)-288(to)-288(hold)-288(the)-288(entir)18(e)-288(matrix)-287(in)-288(one)-288(pr)18(o-)]TJ 0 -11.955 Td [(cess)-241(and)-242(distribute)-241(it)-241(explicitly)]TJ 0 0 1 rg 0 0 1 RG -/F54 7.5716 Tf 133.807 3.616 Td [(1)]TJ +/F57 7.5716 Tf 133.807 3.616 Td [(1)]TJ 0 g 0 G -/F54 9.9626 Tf 4.284 -3.616 Td [(,)-243(even)-241(though)-242(the)-241(r)18(esulting)-241(memory)-241(bottleneck)]TJ -138.091 -11.955 Td [(would)-250(make)-250(this)-250(option)-250(unattractive)-250(in)-250(most)-250(cases.)]TJ/F51 11.9552 Tf 0 -33.074 Td [(2.1)-1000(Basic)-250(Nomenclature)]TJ/F54 9.9626 Tf 0 -20.306 Td [(Our)-301(computational)-301(model)-301(implies)-301(that)-301(the)-301(data)-301(al)1(location)-301(on)-301(the)-301(parallel)-301(dis-)]TJ 0 -11.955 Td [(tributed)-370(memory)-369(machine)-370(is)-370(guided)-370(by)-369(the)-370(str)8(uctur)18(e)-370(of)-370(the)-369(physical)-370(model,)]TJ 0 -11.955 Td [(and)-250(speci\002cally)-250(by)-250(the)-250(discr)18(etization)-250(mesh)-250(of)-250(the)-250(PDE.)]TJ 14.944 -12.648 Td [(Each)-400(point)-400(of)-400(the)-399(discr)18(etization)-400(mesh)-400(will)-400(have)-400(\050at)-400(least)1(\051)-400(one)-400(associated)]TJ -14.944 -11.955 Td [(equation/variable,)-416(and)-384(ther)18(efor)18(e)-383(one)-383(index.)-710(W)92(e)-383(say)-383(that)-384(point)]TJ/F52 9.9626 Tf 289.765 0 Td [(i)-403(depends)]TJ/F54 9.9626 Tf 42.709 0 Td [(on)]TJ -332.474 -11.955 Td [(point)]TJ/F52 9.9626 Tf 26.955 0 Td [(j)]TJ/F54 9.9626 Tf 6.004 0 Td [(if)-312(the)-312(equation)-312(for)-312(a)-312(variable)-313(associated)-312(with)]TJ/F52 9.9626 Tf 202.502 0 Td [(i)]TJ/F54 9.9626 Tf 6.074 0 Td [(contains)-312(a)-312(term)-312(in)]TJ/F52 9.9626 Tf 84.153 0 Td [(j)]TJ/F54 9.9626 Tf 2.894 0 Td [(,)-328(or)]TJ -328.582 -11.955 Td [(equivalently)-291(if)]TJ/F52 9.9626 Tf 67.321 0 Td [(a)]TJ/F52 7.5716 Tf 4.59 -1.96 Td [(i)-67(j)]TJ/F83 10.3811 Tf 8.967 1.96 Td [(6)]TJ/F85 10.3811 Tf 0.249 0 Td [(=)]TJ/F54 9.9626 Tf 11.726 0 Td [(0.)-434(After)-292(the)-291(partition)-292(of)-291(the)-292(discr)18(etization)-291(mesh)-292(into)]TJ/F52 9.9626 Tf 233.514 0 Td [(sub-)]TJ -326.367 -11.955 Td [(domains)]TJ/F54 9.9626 Tf 37.559 0 Td [(assigned)-381(to)-381(the)-381(parallel)-381(pr)18(ocesses,)-413(we)-381(classify)-381(the)-381(points)-381(of)-381(a)-381(given)]TJ -37.559 -11.955 Td [(sub-domain)-250(as)-250(following.)]TJ +/F57 9.9626 Tf 4.284 -3.616 Td [(,)-243(even)-241(though)-242(the)-241(r)18(esulting)-241(memory)-241(bottleneck)]TJ -138.091 -11.955 Td [(would)-250(make)-250(this)-250(option)-250(unattractive)-250(in)-250(most)-250(cases.)]TJ/F54 11.9552 Tf 0 -33.074 Td [(2.1)-1000(Basic)-250(Nomenclature)]TJ/F57 9.9626 Tf 0 -20.306 Td [(Our)-301(computational)-301(model)-301(implies)-301(that)-301(the)-301(data)-301(al)1(location)-301(on)-301(the)-301(parallel)-301(dis-)]TJ 0 -11.955 Td [(tributed)-370(memory)-369(machine)-370(is)-370(guided)-370(by)-369(the)-370(str)8(uctur)18(e)-370(of)-370(the)-369(physical)-370(model,)]TJ 0 -11.955 Td [(and)-250(speci\002cally)-250(by)-250(the)-250(discr)18(etization)-250(mesh)-250(of)-250(the)-250(PDE.)]TJ 14.944 -12.648 Td [(Each)-400(point)-400(of)-400(the)-399(discr)18(etization)-400(mesh)-400(will)-400(have)-400(\050at)-400(least)1(\051)-400(one)-400(associated)]TJ -14.944 -11.955 Td [(equation/variable,)-416(and)-384(ther)18(efor)18(e)-383(one)-383(index.)-710(W)92(e)-383(say)-383(that)-384(point)]TJ/F55 9.9626 Tf 289.765 0 Td [(i)-403(depends)]TJ/F57 9.9626 Tf 42.709 0 Td [(on)]TJ -332.474 -11.955 Td [(point)]TJ/F55 9.9626 Tf 26.955 0 Td [(j)]TJ/F57 9.9626 Tf 6.004 0 Td [(if)-312(the)-312(equation)-312(for)-312(a)-312(variable)-313(associated)-312(with)]TJ/F55 9.9626 Tf 202.502 0 Td [(i)]TJ/F57 9.9626 Tf 6.074 0 Td [(contains)-312(a)-312(term)-312(in)]TJ/F55 9.9626 Tf 84.153 0 Td [(j)]TJ/F57 9.9626 Tf 2.894 0 Td [(,)-328(or)]TJ -328.582 -11.955 Td [(equivalently)-291(if)]TJ/F55 9.9626 Tf 67.321 0 Td [(a)]TJ/F55 7.5716 Tf 4.59 -1.96 Td [(i)-67(j)]TJ/F86 10.3811 Tf 8.967 1.96 Td [(6)]TJ/F88 10.3811 Tf 0.249 0 Td [(=)]TJ/F57 9.9626 Tf 11.726 0 Td [(0.)-434(After)-292(the)-291(partition)-292(of)-291(the)-292(discr)18(etization)-291(mesh)-292(into)]TJ/F55 9.9626 Tf 233.514 0 Td [(sub-)]TJ -326.367 -11.955 Td [(domains)]TJ/F57 9.9626 Tf 37.559 0 Td [(assigned)-381(to)-381(the)-381(parallel)-381(pr)18(ocesses,)-413(we)-381(classify)-381(the)-381(points)-381(of)-381(a)-381(given)]TJ -37.559 -11.955 Td [(sub-domain)-250(as)-250(following.)]TJ 0 g 0 G -/F51 9.9626 Tf 0 -22.003 Td [(Internal.)]TJ +/F54 9.9626 Tf 0 -22.003 Td [(Internal.)]TJ 0 g 0 G -/F54 9.9626 Tf 43.995 0 Td [(An)-359(internal)-359(poi)1(nt)-359(of)-359(a)-359(given)-359(domain)]TJ/F52 9.9626 Tf 168.65 0 Td [(depends)]TJ/F54 9.9626 Tf 35.684 0 Td [(only)-359(on)-359(points)-358(of)-359(the)]TJ -223.422 -11.955 Td [(same)-264(domain.)-351(If)-264(all)-264(points)-264(of)-264(a)-264(domain)-263(ar)18(e)-264(assigned)-264(to)-264(one)-264(pr)18(ocess,)-267(then)]TJ 0 -11.956 Td [(a)-196(computational)-196(step)-195(\050e.g.,)-207(a)-196(matrix-vector)-196(pr)18(oduct\051)-196(of)-195(the)-196(equations)-196(asso-)]TJ 0 -11.955 Td [(ciated)-214(with)-213(the)-214(internal)-214(points)-214(r)18(equir)18(es)-213(no)-214(data)-214(items)-214(fr)18(om)-213(other)-214(domains)]TJ 0 -11.955 Td [(and)-250(no)-250(communications.)]TJ +/F57 9.9626 Tf 43.995 0 Td [(An)-359(internal)-359(poi)1(nt)-359(of)-359(a)-359(given)-359(domain)]TJ/F55 9.9626 Tf 168.65 0 Td [(depends)]TJ/F57 9.9626 Tf 35.684 0 Td [(only)-359(on)-359(points)-358(of)-359(the)]TJ -223.422 -11.955 Td [(same)-264(domain.)-351(If)-264(all)-264(points)-264(of)-264(a)-264(domain)-263(ar)18(e)-264(assigned)-264(to)-264(one)-264(pr)18(ocess,)-267(then)]TJ 0 -11.956 Td [(a)-196(computational)-196(step)-195(\050e.g.,)-207(a)-196(matrix-vector)-196(pr)18(oduct\051)-196(of)-195(the)-196(equations)-196(asso-)]TJ 0 -11.955 Td [(ciated)-214(with)-213(the)-214(internal)-214(points)-214(r)18(equir)18(es)-213(no)-214(data)-214(items)-214(fr)18(om)-213(other)-214(domains)]TJ 0 -11.955 Td [(and)-250(no)-250(communications.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.907 -22.695 Td [(Boundary)92(.)]TJ +/F54 9.9626 Tf -24.907 -22.695 Td [(Boundary)92(.)]TJ 0 g 0 G -/F54 9.9626 Tf 51.397 0 Td [(A)-192(point)-191(of)-192(a)-192(given)-191(domain)-192(is)-192(a)-191(boundary)-192(point)-192(if)-191(it)]TJ/F52 9.9626 Tf 217.552 0 Td [(depends)]TJ/F54 9.9626 Tf 34.019 0 Td [(on)-192(points)]TJ -278.061 -11.955 Td [(belonging)-250(to)-250(other)-250(domains.)]TJ +/F57 9.9626 Tf 51.397 0 Td [(A)-192(point)-191(of)-192(a)-192(given)-191(domain)-192(is)-192(a)-191(boundary)-192(point)-192(if)-191(it)]TJ/F55 9.9626 Tf 217.552 0 Td [(depends)]TJ/F57 9.9626 Tf 34.019 0 Td [(on)-192(points)]TJ -278.061 -11.955 Td [(belonging)-250(to)-250(other)-250(domains.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.907 -22.696 Td [(Halo.)]TJ +/F54 9.9626 Tf -24.907 -22.696 Td [(Halo.)]TJ 0 g 0 G -/F54 9.9626 Tf 29.609 0 Td [(A)-389(halo)-389(point)-389(for)-389(a)-389(given)-389(domain)-389(i)1(s)-389(a)-389(point)-389(belonging)-389(to)-389(another)-389(do-)]TJ -4.702 -11.955 Td [(main)-267(such)-267(that)-266(ther)18(e)-267(is)-267(a)-267(boundary)-267(point)-266(which)]TJ/F52 9.9626 Tf 212.474 0 Td [(depends)]TJ/F54 9.9626 Tf 34.767 0 Td [(on)-267(it.)-360(Whenever)]TJ -247.241 -11.955 Td [(performing)-360(a)-361(computational)-360(step,)-388(such)-361(as)-360(a)-361(matrix-vector)-360(pr)18(oduct,)-388(the)]TJ 0 -11.955 Td [(values)-274(associated)-273(with)-274(halo)-274(points)-274(ar)18(e)-274(r)18(equested)-273(fr)18(om)-274(other)-274(domains.)-381(A)]TJ 0 -11.955 Td [(boundary)-259(point)-258(of)-259(a)-258(given)-259(domain)-258(is)-259(usually)-258(a)-259(halo)-258(point)-259(for)-259(some)-258(other)]TJ 0 -11.956 Td [(domain)]TJ +/F57 9.9626 Tf 29.609 0 Td [(A)-389(halo)-389(point)-389(for)-389(a)-389(given)-389(domain)-389(i)1(s)-389(a)-389(point)-389(belonging)-389(to)-389(another)-389(do-)]TJ -4.702 -11.955 Td [(main)-267(such)-267(that)-266(ther)18(e)-267(is)-267(a)-267(boundary)-267(point)-266(which)]TJ/F55 9.9626 Tf 212.474 0 Td [(depends)]TJ/F57 9.9626 Tf 34.767 0 Td [(on)-267(it.)-360(Whenever)]TJ -247.241 -11.955 Td [(performing)-360(a)-361(computational)-360(step,)-388(such)-361(as)-360(a)-361(matrix-vector)-360(pr)18(oduct,)-388(the)]TJ 0 -11.955 Td [(values)-274(associated)-273(with)-274(halo)-274(points)-274(ar)18(e)-274(r)18(equested)-273(fr)18(om)-274(other)-274(domains.)-381(A)]TJ 0 -11.955 Td [(boundary)-259(point)-258(of)-259(a)-258(given)-259(domain)-258(is)-259(usually)-258(a)-259(halo)-258(point)-259(for)-259(some)-258(other)]TJ 0 -11.956 Td [(domain)]TJ 0 0 1 rg 0 0 1 RG -/F54 7.5716 Tf 34.002 3.617 Td [(2)]TJ +/F57 7.5716 Tf 34.002 3.617 Td [(2)]TJ 0 g 0 G -/F54 9.9626 Tf 4.284 -3.617 Td [(;)-238(ther)18(efor)18(e)-232(the)-233(car)18(dinality)-232(of)-232(the)-232(boundary)-233(p)1(oints)-233(set)-232(denotes)-232(the)]TJ -38.286 -11.955 Td [(amount)-250(of)-250(data)-250(sent)-250(to)-250(other)-250(domains.)]TJ +/F57 9.9626 Tf 4.284 -3.617 Td [(;)-238(ther)18(efor)18(e)-232(the)-233(car)18(dinality)-232(of)-232(the)-232(boundary)-233(p)1(oints)-233(set)-232(denotes)-232(the)]TJ -38.286 -11.955 Td [(amount)-250(of)-250(data)-250(sent)-250(to)-250(other)-250(domains.)]TJ 0 g 0 G ET q @@ -3823,10 +3823,10 @@ q []0 d 0 J 0.398 w 0 0 m 137.482 0 l S Q BT -/F54 5.9776 Tf 110.755 161.427 Td [(1)]TJ/F54 7.9701 Tf 3.487 -2.893 Td [(In)-250(our)-250(pr)18(ototype)-250(implementation)-250(we)-250(pr)18(ovide)-250(sample)-250(scatter/gather)-250(r)18(outines.)]TJ/F54 5.9776 Tf -3.487 -6.922 Td [(2)]TJ/F54 7.9701 Tf 3.487 -2.893 Td [(This)-401(is)-402(the)-401(normal)-402(situation)-401(when)-402(the)-401(pattern)-402(of)-401(the)-402(sparse)-401(matrix)-402(is)-401(symmetric,)-440(which)-401(is)]TJ -14.347 -9.464 Td [(equivalent)-358(to)-358(say)-358(that)-358(the)-357(interaction)-358(between)-358(two)-358(variables)-358(is)-358(r)18(ecipr)18(ocal.)-634(If)-357(the)-358(matrix)-358(pattern)]TJ 0 -9.465 Td [(is)-241(non-symmetric)-241(we)-242(may)-241(have)-241(one-way)-241(interactions,)-243(and)-241(these)-241(could)-241(cause)-242(a)-241(situation)-241(in)-241(which)-241(a)]TJ 0 -9.464 Td [(boundary)-250(point)-250(is)-250(not)-250(a)-250(halo)-250(point)-250(for)-250(its)-250(neighbour)74(.)]TJ +/F57 5.9776 Tf 110.755 161.427 Td [(1)]TJ/F57 7.9701 Tf 3.487 -2.893 Td [(In)-250(our)-250(pr)18(ototype)-250(implementation)-250(we)-250(pr)18(ovide)-250(sample)-250(scatter/gather)-250(r)18(outines.)]TJ/F57 5.9776 Tf -3.487 -6.922 Td [(2)]TJ/F57 7.9701 Tf 3.487 -2.893 Td [(This)-401(is)-402(the)-401(normal)-402(situation)-401(when)-402(the)-401(pattern)-402(of)-401(the)-402(sparse)-401(matrix)-402(is)-401(symmetric,)-440(which)-401(is)]TJ -14.347 -9.464 Td [(equivalent)-358(to)-358(say)-358(that)-358(the)-357(interaction)-358(between)-358(two)-358(variables)-358(is)-358(r)18(ecipr)18(ocal.)-634(If)-357(the)-358(matrix)-358(pattern)]TJ 0 -9.465 Td [(is)-241(non-symmetric)-241(we)-242(may)-241(have)-241(one-way)-241(interactions,)-243(and)-241(these)-241(could)-241(cause)-242(a)-241(situation)-241(in)-241(which)-241(a)]TJ 0 -9.464 Td [(boundary)-250(point)-250(is)-250(not)-250(a)-250(halo)-250(point)-250(for)-250(its)-250(neighbour)74(.)]TJ 0 g 0 G 0 g 0 G -/F54 9.9626 Tf 169.365 -29.888 Td [(3)]TJ +/F57 9.9626 Tf 169.365 -29.888 Td [(3)]TJ 0 g 0 G ET @@ -3841,9 +3841,9 @@ stream 0 g 0 G 0 g 0 G BT -/F51 9.9626 Tf 150.705 706.129 Td [(Overlap.)]TJ +/F54 9.9626 Tf 150.705 706.129 Td [(Overlap.)]TJ 0 g 0 G -/F54 9.9626 Tf 44.553 0 Td [(An)-245(overlap)-244(point)-245(is)-245(a)-245(boundary)-244(point)-245(assigned)-245(to)-244(multiple)-245(domains.)]TJ -19.647 -11.955 Td [(Any)-204(operation)-204(that)-204(involves)-204(an)-204(overlap)-204(point)-204(has)-204(to)-204(be)-204(r)18(eplicated)-204(for)-204(each)]TJ 0 -11.955 Td [(assignment.)]TJ -24.906 -18.943 Td [(Overlap)-358(points)-359(do)-358(not)-358(usually)-359(exist)-358(in)-359(the)-358(basic)-358(data)-359(distributions;)-412(however)]TJ 0 -11.955 Td [(they)-325(ar)18(e)-326(a)-325(featur)18(e)-326(of)-325(Domain)-326(Decomposition)-325(Schwarz)-326(pr)18(econditioners)-325(which)]TJ 0 -11.956 Td [(ar)18(e)-250(the)-250(subject)-250(of)-250(r)18(elated)-250(r)18(esear)18(ch)-250(work)-250([)]TJ +/F57 9.9626 Tf 44.553 0 Td [(An)-245(overlap)-244(point)-245(is)-245(a)-245(boundary)-244(point)-245(assigned)-245(to)-244(multiple)-245(domains.)]TJ -19.647 -11.955 Td [(Any)-204(operation)-204(that)-204(involves)-204(an)-204(overlap)-204(point)-204(has)-204(to)-204(be)-204(r)18(eplicated)-204(for)-204(each)]TJ 0 -11.955 Td [(assignment.)]TJ -24.906 -18.943 Td [(Overlap)-358(points)-359(do)-358(not)-358(usually)-359(exist)-358(in)-359(the)-358(basic)-358(data)-359(distributions;)-412(however)]TJ 0 -11.955 Td [(they)-325(ar)18(e)-326(a)-325(featur)18(e)-326(of)-325(Domain)-326(Decomposition)-325(Schwarz)-326(pr)18(econditioners)-325(which)]TJ 0 -11.956 Td [(ar)18(e)-250(the)-250(subject)-250(of)-250(r)18(elated)-250(r)18(esear)18(ch)-250(work)-250([)]TJ 1 0 0 rg 1 0 0 RG [(4)]TJ 0 g 0 G @@ -3851,7 +3851,7 @@ BT 1 0 0 rg 1 0 0 RG [-250(3)]TJ 0 g 0 G - [(].)]TJ 14.944 -11.955 Td [(W)92(e)-225(denote)-225(the)-225(sets)-225(of)-225(internal,)-230(boundary)-225(and)-225(halo)-225(points)-225(for)-225(a)-225(given)-225(subdo-)]TJ -14.944 -11.955 Td [(main)-251(by)]TJ/F83 10.3811 Tf 38.66 0 Td [(I)]TJ/F54 9.9626 Tf 6.53 0 Td [(,)]TJ/F83 10.3811 Tf 5.125 0 Td [(B)]TJ/F54 9.9626 Tf 9.753 0 Td [(and)]TJ/F83 10.3811 Tf 19.497 0 Td [(H)]TJ/F54 9.9626 Tf 8.972 0 Td [(.)-314(Each)-252(subdomain)-251(is)-252(assigned)-251(to)-252(one)-251(pr)18(ocess;)-253(each)-251(pr)18(ocess)]TJ -88.537 -11.955 Td [(usually)-346(owns)-346(one)-346(su)1(bdomain,)-370(although)-346(the)-346(user)-346(may)-346(choose)-345(to)-346(assign)-346(mor)18(e)]TJ 0 -11.955 Td [(than)-302(one)-301(subdomain)-302(to)-301(a)-302(pr)18(ocess.)-465(If)-302(each)-301(pr)18(ocess)]TJ/F52 9.9626 Tf 222.767 0 Td [(i)]TJ/F54 9.9626 Tf 5.968 0 Td [(owns)-302(one)-301(subdomain,)-315(the)]TJ -228.735 -11.956 Td [(number)-221(of)-221(r)18(ows)-221(in)-221(the)-221(local)-221(sparse)-221(matrix)-221(is)]TJ/F83 10.3811 Tf 192.655 0 Td [(j)-24(I)]TJ/F52 7.5716 Tf 8.943 -1.96 Td [(i)]TJ/F83 10.3811 Tf 2.875 1.96 Td [(j)]TJ/F85 10.3811 Tf 4.799 0 Td [(+)]TJ/F83 10.3811 Tf 9.989 0 Td [(j)-24(B)]TJ/F52 7.5716 Tf 10.108 -1.96 Td [(i)]TJ/F83 10.3811 Tf 2.876 1.96 Td [(j)]TJ/F54 9.9626 Tf 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9.9626 Tf 176.584 0 Td [(n)]TJ/F54 9.9626 Tf 8.659 0 Td [(to)-301(a)-300(numbering)-301(\223local\224)-301(to)-301(each)-300(pr)18(o-)]TJ -185.243 -11.955 Td [(cess;)-230(each)-221(pr)18(ocess)]TJ/F52 9.9626 Tf 79.682 0 Td [(i)]TJ/F54 9.9626 Tf 5.162 0 Td [(will)-221(own)-220(a)-221(certain)-220(subset)-221(1)-179(.)-192(.)-192(.)]TJ/F52 9.9626 Tf 130.532 0 Td [(n)]TJ/F54 9.9626 Tf 5.664 -1.494 Td [(r)18(ow)]TJ/F52 5.9776 Tf 17.537 -1.649 Td [(i)]TJ/F54 9.9626 Tf 2.775 3.143 Td [(,)-226(each)-221(element)-221(of)-220(which)]TJ -241.352 -11.955 Td [(corr)18(esponds)-258(to)-259(a)-258(certain)-258(element)-258(of)-259(1)-179(.)-192(.)-191(.)]TJ/F52 9.9626 Tf 177.035 0 Td [(n)]TJ/F54 9.9626 Tf 5.664 0 Td [(.)-335(The)-258(user)-259(doe)1(s)-259(not)-258(set)-258(explicitly)-259(this)]TJ -182.699 -11.955 Td [(mapping;)-225(when)-212(the)-212(application)-212(needs)-213(to)-212(indicate)-212(to)-212(which)-213(el)1(ement)-213(of)-212(the)-212(index)]TJ 0 -11.955 Td [(space)-305(a)-306(certain)-305(item)-306(is)-305(r)18(elated,)-320(such)-305(as)-306(the)-305(r)18(ow)-306(and)-305(column)-306(index)-305(of)-306(a)-305(matrix)]TJ 0 -11.956 Td [(coef)18(\002cient,)-283(it)-276(does)-277(so)-276(in)-277(the)-276(\223global\224)-277(numb)1(ering,)-284(and)-276(the)-276(library)-277(will)-276(translate)]TJ 0 -11.955 Td [(into)-250(the)-250(appr)18(opriate)-250(\223local\224)-250(numbering.)]TJ 14.944 -12.17 Td [(For)-324(a)-325(given)-324(index)-324(space)-325(1)-179(.)-191(.)-192(.)]TJ/F52 9.9626 Tf 129.74 0 Td [(n)]TJ/F54 9.9626 Tf 8.895 0 Td [(ther)18(e)-324(ar)18(e)-325(many)-324(possible)-324(associated)-325(topolo-)]TJ -153.579 -11.956 Td [(gies,)-213(i.e.)-295(many)-204(dif)18(fer)18(ent)-204(discr)18(etization)-204(stencils;)-220(thus)-204(the)-204(description)-204(of)-204(the)-204(index)]TJ 0 -11.955 Td [(space)-277(is)-278(not)-277(completed)-278(until)-277(the)-277(user)-278(has)-277(de\002ned)-278(a)-277(sparsity)-278(p)1(attern,)-285(either)-277(ex-)]TJ 0 -11.955 Td [(plicitly)-263(thr)18(ough)]TJ/F59 9.9626 Tf 71.63 0 Td [(psb_cdins)]TJ/F54 9.9626 Tf 49.698 0 Td [(or)-264(im)1(plicitly)-264(thr)18(ough)]TJ/F59 9.9626 Tf 95.326 0 Td [(psb_spins)]TJ/F54 9.9626 Tf 47.073 0 Td [(.)-351(T)1(he)-264(descriptor)-263(is)]TJ -263.727 -11.955 Td [(\002nalized)-225(with)-225(a)-225(call)-226(to)]TJ/F59 9.9626 Tf 98.787 0 Td [(psb_cdasb)]TJ/F54 9.9626 Tf 49.316 0 Td [(and)-225(a)-225(sparse)-225(matrix)-226(with)-225(a)-225(call)-225(to)]TJ/F59 9.9626 Tf 146.044 0 Td [(psb_spasb)]TJ/F54 9.9626 Tf 47.073 0 Td [(.)]TJ -341.22 -11.955 Td [(After)]TJ/F59 9.9626 Tf 26.16 0 Td [(psb_cdasb)]TJ/F54 9.9626 Tf 50.21 0 Td [(each)-315(pr)18(ocess)]TJ/F52 9.9626 Tf 59.13 0 Td [(i)]TJ/F54 9.9626 Tf 6.101 0 Td [(will)-315(have)-315(de\002ned)-315(a)-314(set)-315(of)-315(\223halo\224)-315(\050or)-315(\223ghost\224\051)]TJ -141.601 -11.955 Td [(indices)]TJ/F52 9.9626 Tf 34.731 0 Td [(n)]TJ/F54 9.9626 Tf 5.663 -1.495 Td [(r)18(ow)]TJ/F52 5.9776 Tf 17.538 -1.648 Td [(i)]TJ/F85 10.3811 Tf 5.211 3.143 Td [(+)]TJ/F54 9.9626 Tf 10.506 0 Td [(1)-179(.)-192(.)-192(.)]TJ/F52 9.9626 Tf 19.967 0 Td [(n)]TJ/F54 9.9626 Tf 5.664 -3.831 Td [(col)]TJ/F52 5.9776 Tf 12.794 -1.648 Td [(i)]TJ/F54 9.9626 Tf 2.775 5.479 Td [(,)-377(denoting)-352(elements)-351(of)-352(the)-352(index)-351(space)-352(that)-351(ar)18(e)]TJ/F52 9.9626 Tf 215.582 0 Td [(not)]TJ/F54 9.9626 Tf -330.431 -13.79 Td [(assigned)-289(to)-290(pr)18(ocess)]TJ/F52 9.9626 Tf 88.744 0 Td [(i)]TJ/F54 9.9626 Tf 2.964 0 Td [(;)-309(however)-290(t)1(he)-290(variables)-289(associated)-290(with)-289(them)-290(ar)18(e)-289(needed)]TJ -91.708 -11.955 Td [(to)-289(complete)-289(computations)-289(associated)-289(with)-290(the)-289(sparse)-289(matrix)]TJ/F52 9.9626 Tf 269.662 0 Td [(A)]TJ/F54 9.9626 Tf 7.318 0 Td [(,)-299(and)-289(thus)-289(they)]TJ -276.98 -11.955 Td [(have)-266(to)-266(be)-266(fetched)-265(fr)18(om)-266(\050neighbouring\051)-266(pr)18(ocesses.)-358(The)-266(descriptor)-265(of)-266(the)-266(index)]TJ 0 -11.956 Td [(space)-294(is)-293(built)-294(exactly)-294(for)-293(the)-294(purpose)-294(of)-293(pr)18(operly)-294(sequencing)-294(the)-293(communica-)]TJ 0 -11.955 Td [(tion)-250(steps)-250(r)18(equir)18(ed)-250(to)-250(achieve)-250(this)-250(objective.)]TJ 14.944 -12.17 Td [(A)-197(simple)-197(application)-197(str)8(uctur)18(e)-197(will)-197(walk)-197(thr)18(ough)-197(the)-197(index)-197(space)-197(allocation,)]TJ -14.944 -11.956 Td [(matrix/vector)-250(cr)18(eation)-250(and)-250(linear)-250(system)-250(solution)-250(as)-250(follows:)]TJ +/F54 11.9552 Tf 150.705 706.129 Td [(2.3)-1000(Application)-250(structure)]TJ/F57 9.9626 Tf 0 -19.381 Td [(The)-244(main)-244(underlyi)1(ng)-244(principle)-244(of)-244(the)-244(PSBLAS)-243(library)-244(is)-244(that)-244(the)-243(library)-244(objects)]TJ 0 -11.956 Td [(ar)18(e)-236(cr)18(eated)-235(and)-236(exist)-235(with)-236(r)18(efer)18(ence)-235(to)-236(a)-235(discr)18(etized)-236(space)-236(t)1(o)-236(which)-236(ther)18(e)-235(corr)18(e-)]TJ 0 -11.955 Td [(sponds)-258(an)-257(index)-258(space)-257(and)-258(a)-258(matrix)-257(sparsity)-258(pattern.)-332(As)-258(an)-258(example,)-259(consider)]TJ 0 -11.955 Td [(a)-310(cell-center)18(ed)-309(\002nite-volume)-310(discr)18(etization)-310(of)-309(the)-310(Navier)18(-Stokes)-310(e)1(quations)-310(on)]TJ 0 -11.955 Td [(a)-234(simulation)-235(domain;)-239(the)-234(index)-235(space)-234(1)-179(.)-192(.)-192(.)]TJ/F55 9.9626 Tf 185.595 0 Td [(n)]TJ/F57 9.9626 Tf 7.998 0 Td [(is)-234(isomorphic)-235(to)-234(the)-234(set)-235(of)-234(cell)-234(cen-)]TJ -193.593 -11.955 Td [(ters,)-210(wher)18(eas)-200(the)-201(pattern)-200(of)-200(the)-201(associated)-200(linear)-200(system)-200(matrix)-201(is)-200(isomorphic)-200(to)]TJ 0 -11.956 Td [(the)-294(adjacency)-294(graph)-294(imposed)-294(on)-294(the)-294(discr)18(et)1(ization)-294(mesh)-294(by)-294(the)-294(discr)18(etization)]TJ 0 -11.955 Td [(stencil.)]TJ 14.944 -12.17 Td [(Thus)-343(the)-343(\002rst)-343(or)18(der)-344(of)-343(business)-343(is)-343(to)-343(establish)-343(an)-343(index)-343(space,)-367(and)-343(this)-343(is)]TJ -14.944 -11.955 Td [(done)-287(with)-287(a)-287(call)-287(to)]TJ/F62 9.9626 Tf 85.52 0 Td [(psb_cdall)]TJ/F57 9.9626 Tf 49.932 0 Td [(in)-287(which)-287(we)-287(specify)-287(the)-287(size)-287(of)-287(the)-287(index)-287(space)]TJ/F55 9.9626 Tf -135.328 -11.956 Td [(n)]TJ/F57 9.9626 Tf 8.041 0 Td [(and)-238(the)-239(allocation)-238(of)-239(the)-239(ele)1(ments)-239(of)-239(the)-238(index)-239(space)-238(to)-239(the)-238(various)-239(pr)18(ocesses)]TJ -8.165 -11.955 Td [(making)-250(up)-250(the)-250(MPI)-250(\050virtual\051)-250(parallel)-250(machine.)]TJ 14.944 -12.17 Td [(The)-366(index)-367(space)-366(is)-366(partitioned)-367(among)-366(pr)18(ocesses,)-396(and)-366(this)-366(cr)18(eates)-367(a)-366(map-)]TJ -14.944 -11.956 Td [(ping)-301(fr)18(om)-300(the)-301(\223global\224)-301(numbering)-300(1)-180(.)-191(.)-192(.)]TJ/F55 9.9626 Tf 176.584 0 Td [(n)]TJ/F57 9.9626 Tf 8.659 0 Td [(to)-301(a)-300(numbering)-301(\223local\224)-301(to)-301(each)-300(pr)18(o-)]TJ -185.243 -11.955 Td [(cess;)-230(each)-221(pr)18(ocess)]TJ/F55 9.9626 Tf 79.682 0 Td [(i)]TJ/F57 9.9626 Tf 5.162 0 Td [(will)-221(own)-220(a)-221(certain)-220(subset)-221(1)-179(.)-192(.)-192(.)]TJ/F55 9.9626 Tf 130.532 0 Td [(n)]TJ/F57 9.9626 Tf 5.664 -1.494 Td [(r)18(ow)]TJ/F55 5.9776 Tf 17.537 -1.649 Td [(i)]TJ/F57 9.9626 Tf 2.775 3.143 Td [(,)-226(each)-221(element)-221(of)-220(which)]TJ -241.352 -11.955 Td [(corr)18(esponds)-258(to)-259(a)-258(certain)-258(element)-258(of)-259(1)-179(.)-192(.)-191(.)]TJ/F55 9.9626 Tf 177.035 0 Td [(n)]TJ/F57 9.9626 Tf 5.664 0 Td [(.)-335(The)-258(user)-259(doe)1(s)-259(not)-258(set)-258(explicitly)-259(this)]TJ -182.699 -11.955 Td [(mapping;)-225(when)-212(the)-212(application)-212(needs)-213(to)-212(indicate)-212(to)-212(which)-213(el)1(ement)-213(of)-212(the)-212(index)]TJ 0 -11.955 Td [(space)-305(a)-306(certain)-305(item)-306(is)-305(r)18(elated,)-320(such)-305(as)-306(the)-305(r)18(ow)-306(and)-305(column)-306(index)-305(of)-306(a)-305(matrix)]TJ 0 -11.956 Td [(coef)18(\002cient,)-283(it)-276(does)-277(so)-276(in)-277(the)-276(\223global\224)-277(numb)1(ering,)-284(and)-276(the)-276(library)-277(will)-276(translate)]TJ 0 -11.955 Td [(into)-250(the)-250(appr)18(opriate)-250(\223local\224)-250(numbering.)]TJ 14.944 -12.17 Td [(For)-324(a)-325(given)-324(index)-324(space)-325(1)-179(.)-191(.)-192(.)]TJ/F55 9.9626 Tf 129.74 0 Td [(n)]TJ/F57 9.9626 Tf 8.895 0 Td [(ther)18(e)-324(ar)18(e)-325(many)-324(possible)-324(associated)-325(topolo-)]TJ -153.579 -11.956 Td [(gies,)-213(i.e.)-295(many)-204(dif)18(fer)18(ent)-204(discr)18(etization)-204(stencils;)-220(thus)-204(the)-204(description)-204(of)-204(the)-204(index)]TJ 0 -11.955 Td [(space)-277(is)-278(not)-277(completed)-278(until)-277(the)-277(user)-278(has)-277(de\002ned)-278(a)-277(sparsity)-278(p)1(attern,)-285(either)-277(ex-)]TJ 0 -11.955 Td [(plicitly)-263(thr)18(ough)]TJ/F62 9.9626 Tf 71.63 0 Td [(psb_cdins)]TJ/F57 9.9626 Tf 49.698 0 Td [(or)-264(im)1(plicitly)-264(thr)18(ough)]TJ/F62 9.9626 Tf 95.326 0 Td [(psb_spins)]TJ/F57 9.9626 Tf 47.073 0 Td [(.)-351(T)1(he)-264(descriptor)-263(is)]TJ -263.727 -11.955 Td [(\002nalized)-225(with)-225(a)-225(call)-226(to)]TJ/F62 9.9626 Tf 98.787 0 Td [(psb_cdasb)]TJ/F57 9.9626 Tf 49.316 0 Td [(and)-225(a)-225(sparse)-225(matrix)-226(with)-225(a)-225(call)-225(to)]TJ/F62 9.9626 Tf 146.044 0 Td [(psb_spasb)]TJ/F57 9.9626 Tf 47.073 0 Td [(.)]TJ -341.22 -11.955 Td [(After)]TJ/F62 9.9626 Tf 26.16 0 Td [(psb_cdasb)]TJ/F57 9.9626 Tf 50.21 0 Td [(each)-315(pr)18(ocess)]TJ/F55 9.9626 Tf 59.13 0 Td [(i)]TJ/F57 9.9626 Tf 6.101 0 Td [(will)-315(have)-315(de\002ned)-315(a)-314(set)-315(of)-315(\223halo\224)-315(\050or)-315(\223ghost\224\051)]TJ -141.601 -11.955 Td [(indices)]TJ/F55 9.9626 Tf 34.731 0 Td [(n)]TJ/F57 9.9626 Tf 5.663 -1.495 Td [(r)18(ow)]TJ/F55 5.9776 Tf 17.538 -1.648 Td [(i)]TJ/F88 10.3811 Tf 5.211 3.143 Td [(+)]TJ/F57 9.9626 Tf 10.506 0 Td [(1)-179(.)-192(.)-192(.)]TJ/F55 9.9626 Tf 19.967 0 Td [(n)]TJ/F57 9.9626 Tf 5.664 -3.831 Td [(col)]TJ/F55 5.9776 Tf 12.794 -1.648 Td [(i)]TJ/F57 9.9626 Tf 2.775 5.479 Td [(,)-377(denoting)-352(elements)-351(of)-352(the)-352(index)-351(space)-352(that)-351(ar)18(e)]TJ/F55 9.9626 Tf 215.582 0 Td [(not)]TJ/F57 9.9626 Tf -330.431 -13.79 Td [(assigned)-289(to)-290(pr)18(ocess)]TJ/F55 9.9626 Tf 88.744 0 Td [(i)]TJ/F57 9.9626 Tf 2.964 0 Td [(;)-309(however)-290(t)1(he)-290(variables)-289(associated)-290(with)-289(them)-290(ar)18(e)-289(needed)]TJ -91.708 -11.955 Td [(to)-289(complete)-289(computations)-289(associated)-289(with)-290(the)-289(sparse)-289(matrix)]TJ/F55 9.9626 Tf 269.662 0 Td [(A)]TJ/F57 9.9626 Tf 7.318 0 Td [(,)-299(and)-289(thus)-289(they)]TJ -276.98 -11.955 Td [(have)-266(to)-266(be)-266(fetched)-265(fr)18(om)-266(\050neighbouring\051)-266(pr)18(ocesses.)-358(The)-266(descriptor)-265(of)-266(the)-266(index)]TJ 0 -11.956 Td [(space)-294(is)-293(built)-294(exactly)-294(for)-293(the)-294(purpose)-294(of)-293(pr)18(operly)-294(sequencing)-294(the)-293(communica-)]TJ 0 -11.955 Td [(tion)-250(steps)-250(r)18(equir)18(ed)-250(to)-250(achieve)-250(this)-250(objective.)]TJ 14.944 -12.17 Td [(A)-197(simple)-197(application)-197(str)8(uctur)18(e)-197(will)-197(walk)-197(thr)18(ough)-197(the)-197(index)-197(space)-197(allocation,)]TJ -14.944 -11.956 Td [(matrix/vector)-250(cr)18(eation)-250(and)-250(linear)-250(system)-250(solution)-250(as)-250(follows:)]TJ 0 g 0 G 12.453 -20.571 Td [(1.)]TJ 0 g 0 G - [-500(Initialize)-250(parallel)-250(envir)18(onment)-250(with)]TJ/F59 9.9626 Tf 171.465 0 Td [(psb_init)]TJ + [-500(Initialize)-250(parallel)-250(envir)18(onment)-250(with)]TJ/F62 9.9626 Tf 171.465 0 Td [(psb_init)]TJ 0 g 0 G -/F54 9.9626 Tf -171.465 -20.787 Td [(2.)]TJ +/F57 9.9626 Tf -171.465 -20.787 Td [(2.)]TJ 0 g 0 G - [-500(Initialize)-250(index)-250(space)-250(with)]TJ/F59 9.9626 Tf 130.489 0 Td [(psb_cdall)]TJ + [-500(Initialize)-250(index)-250(space)-250(with)]TJ/F62 9.9626 Tf 130.489 0 Td [(psb_cdall)]TJ 0 g 0 G -/F54 9.9626 Tf -130.489 -20.788 Td [(3.)]TJ +/F57 9.9626 Tf -130.489 -20.788 Td [(3.)]TJ 0 g 0 G - [-500(Allocate)-221(sparse)-221(matrix)-221(and)-221(dense)-221(vectors)-220(with)]TJ/F59 9.9626 Tf 215.843 0 Td [(psb_spall)]TJ/F54 9.9626 Tf 49.274 0 Td [(and)]TJ/F59 9.9626 Tf 19.068 0 Td [(psb_geall)]TJ + [-500(Allocate)-221(sparse)-221(matrix)-221(and)-221(dense)-221(vectors)-220(with)]TJ/F62 9.9626 Tf 215.843 0 Td [(psb_spall)]TJ/F57 9.9626 Tf 49.274 0 Td [(and)]TJ/F62 9.9626 Tf 19.068 0 Td [(psb_geall)]TJ 0 g 0 G -/F54 9.9626 Tf -284.185 -20.787 Td [(4.)]TJ +/F57 9.9626 Tf -284.185 -20.787 Td [(4.)]TJ 0 g 0 G - [-500(Loop)-320(over)-320(all)-320(local)-320(r)18(ows,)-338(generate)-320(matrix)-320(and)-320(vector)-320(entries,)-337(and)-320(insert)]TJ 12.454 -11.955 Td [(them)-250(with)]TJ/F59 9.9626 Tf 47.849 0 Td [(psb_spins)]TJ/F54 9.9626 Tf 49.564 0 Td [(and)]TJ/F59 9.9626 Tf 19.358 0 Td [(psb_geins)]TJ + [-500(Loop)-320(over)-320(all)-320(local)-320(r)18(ows,)-338(generate)-320(matrix)-320(and)-320(vector)-320(entries,)-337(and)-320(insert)]TJ 12.454 -11.955 Td [(them)-250(with)]TJ/F62 9.9626 Tf 47.849 0 Td [(psb_spins)]TJ/F57 9.9626 Tf 49.564 0 Td [(and)]TJ/F62 9.9626 Tf 19.358 0 Td [(psb_geins)]TJ 0 g 0 G -/F54 9.9626 Tf -129.225 -20.787 Td [(5.)]TJ +/F57 9.9626 Tf -129.225 -20.787 Td [(5.)]TJ 0 g 0 G [-500(Assemble)-250(the)-250(various)-250(entities:)]TJ 0 g 0 G 17.774 -20.787 Td [(\050a\051)]TJ 0 g 0 G -/F59 9.9626 Tf 16.597 0 Td [(psb_cdasb)]TJ +/F62 9.9626 Tf 16.597 0 Td [(psb_cdasb)]TJ 0 g 0 G -/F54 9.9626 Tf -17.125 -16.371 Td [(\050b\051)]TJ +/F57 9.9626 Tf -17.125 -16.371 Td [(\050b\051)]TJ 0 g 0 G -/F59 9.9626 Tf 17.125 0 Td [(psb_spasb)]TJ +/F62 9.9626 Tf 17.125 0 Td [(psb_spasb)]TJ 0 g 0 G -/F54 9.9626 Tf -16.039 -16.371 Td [(\050c\051)]TJ +/F57 9.9626 Tf -16.039 -16.371 Td [(\050c\051)]TJ 0 g 0 G -/F59 9.9626 Tf 16.039 0 Td [(psb_geasb)]TJ +/F62 9.9626 Tf 16.039 0 Td [(psb_geasb)]TJ 0 g 0 G -/F54 9.9626 Tf 122.541 -29.888 Td [(6)]TJ +/F57 9.9626 Tf 122.541 -29.888 Td [(6)]TJ 0 g 0 G ET @@ -4859,61 +4859,61 @@ stream 0 g 0 G 0 g 0 G BT -/F54 9.9626 Tf 112.349 706.129 Td [(6.)]TJ +/F57 9.9626 Tf 112.349 706.129 Td [(6.)]TJ 0 g 0 G - [-500(Choose)-301(the)-300(pr)18(econditioner)-301(to)-300(be)-301(used)-300(with)]TJ/F59 9.9626 Tf 205.537 0 Td [(prec%init)]TJ/F54 9.9626 Tf 50.068 0 Td [(and)-301(build)-300(it)-301(with)]TJ/F59 9.9626 Tf -243.152 -11.955 Td [(prec%build)]TJ + [-500(Choose)-301(the)-300(pr)18(econditioner)-301(to)-300(be)-301(used)-300(with)]TJ/F62 9.9626 Tf 205.537 0 Td [(prec%init)]TJ/F57 9.9626 Tf 50.068 0 Td [(and)-301(build)-300(it)-301(with)]TJ/F62 9.9626 Tf -243.152 -11.955 Td [(prec%build)]TJ 0 0 1 rg 0 0 1 RG -/F54 7.5716 Tf 52.303 3.616 Td [(3)]TJ +/F57 7.5716 Tf 52.303 3.616 Td [(3)]TJ 0 g 0 G -/F54 9.9626 Tf 4.284 -3.616 Td [(.)]TJ +/F57 9.9626 Tf 4.284 -3.616 Td [(.)]TJ 0 g 0 G -69.04 -22.307 Td [(7.)]TJ 0 g 0 G - [-500(Call)-190(the)-190(iterative)-190(driver)]TJ/F59 9.9626 Tf 115.326 0 Td [(psb_krylov)]TJ/F54 9.9626 Tf 54.196 0 Td [(with)-190(the)-190(method)-190(of)-190(choice,)-202(e.g.)]TJ/F59 9.9626 Tf 134.982 0 Td [(bicgstab)]TJ/F54 9.9626 Tf 41.843 0 Td [(.)]TJ -358.801 -21.712 Td [(This)-250(is)-250(the)-250(str)8(uctur)18(e)-250(of)-250(the)-250(sample)-250(pr)18(ograms)-250(in)-250(the)-250(dir)18(ectory)]TJ/F59 9.9626 Tf 266.418 0 Td [(test/pargen/)]TJ/F54 9.9626 Tf 62.764 0 Td [(.)]TJ -314.238 -12.551 Td [(For)-257(a)-258(simulation)-257(in)-257(which)-257(the)-258(same)-257(discr)18(etization)-257(mesh)-257(is)-258(used)-257(over)-257(multi-)]TJ -14.944 -11.955 Td [(ple)-250(time)-250(steps,)-250(the)-250(following)-250(str)8(uctur)18(e)-250(may)-250(be)-250(mor)18(e)-250(appr)18(opriate:)]TJ + [-500(Call)-190(the)-190(iterative)-190(driver)]TJ/F62 9.9626 Tf 115.326 0 Td [(psb_krylov)]TJ/F57 9.9626 Tf 54.196 0 Td [(with)-190(the)-190(method)-190(of)-190(choice,)-202(e.g.)]TJ/F62 9.9626 Tf 134.982 0 Td [(bicgstab)]TJ/F57 9.9626 Tf 41.843 0 Td [(.)]TJ -358.801 -21.712 Td [(This)-250(is)-250(the)-250(str)8(uctur)18(e)-250(of)-250(the)-250(sample)-250(pr)18(ograms)-250(in)-250(the)-250(dir)18(ectory)]TJ/F62 9.9626 Tf 266.418 0 Td [(test/pargen/)]TJ/F57 9.9626 Tf 62.764 0 Td [(.)]TJ -314.238 -12.551 Td [(For)-257(a)-258(simulation)-257(in)-257(which)-257(the)-258(same)-257(discr)18(etization)-257(mesh)-257(is)-258(used)-257(over)-257(multi-)]TJ -14.944 -11.955 Td [(ple)-250(time)-250(steps,)-250(the)-250(following)-250(str)8(uctur)18(e)-250(may)-250(be)-250(mor)18(e)-250(appr)18(opriate:)]TJ 0 g 0 G 12.454 -21.712 Td [(1.)]TJ 0 g 0 G - [-500(Initialize)-250(parallel)-250(envir)18(onment)-250(with)]TJ/F59 9.9626 Tf 171.464 0 Td [(psb_init)]TJ + [-500(Initialize)-250(parallel)-250(envir)18(onment)-250(with)]TJ/F62 9.9626 Tf 171.464 0 Td [(psb_init)]TJ 0 g 0 G -/F54 9.9626 Tf -171.464 -22.307 Td [(2.)]TJ +/F57 9.9626 Tf -171.464 -22.307 Td [(2.)]TJ 0 g 0 G - [-500(Initialize)-250(index)-250(space)-250(with)]TJ/F59 9.9626 Tf 130.489 0 Td [(psb_cdall)]TJ + [-500(Initialize)-250(index)-250(space)-250(with)]TJ/F62 9.9626 Tf 130.489 0 Td [(psb_cdall)]TJ 0 g 0 G -/F54 9.9626 Tf -130.489 -22.307 Td [(3.)]TJ +/F57 9.9626 Tf -130.489 -22.307 Td [(3.)]TJ 0 g 0 G - [-500(Loop)-248(over)-248(the)-248(topology)-248(of)-248(the)-248(discr)18(eti)1(zation)-248(mesh)-248(and)-248(build)-248(the)-248(descrip-)]TJ 12.453 -11.955 Td [(tor)-250(with)]TJ/F59 9.9626 Tf 37.857 0 Td [(psb_cdins)]TJ + [-500(Loop)-248(over)-248(the)-248(topology)-248(of)-248(the)-248(discr)18(eti)1(zation)-248(mesh)-248(and)-248(build)-248(the)-248(descrip-)]TJ 12.453 -11.955 Td [(tor)-250(with)]TJ/F62 9.9626 Tf 37.857 0 Td [(psb_cdins)]TJ 0 g 0 G -/F54 9.9626 Tf -50.31 -22.307 Td [(4.)]TJ +/F57 9.9626 Tf -50.31 -22.307 Td [(4.)]TJ 0 g 0 G - [-500(Assemble)-250(the)-250(descriptor)-250(with)]TJ/F59 9.9626 Tf 144.386 0 Td [(psb_cdasb)]TJ + [-500(Assemble)-250(the)-250(descriptor)-250(with)]TJ/F62 9.9626 Tf 144.386 0 Td [(psb_cdasb)]TJ 0 g 0 G -/F54 9.9626 Tf -144.386 -22.307 Td [(5.)]TJ +/F57 9.9626 Tf -144.386 -22.307 Td [(5.)]TJ 0 g 0 G - [-500(Allocate)-190(the)-190(sparse)-190(matrices)-190(and)-190(dense)-190(vectors)-190(with)]TJ/F59 9.9626 Tf 237.676 0 Td [(psb_spall)]TJ/F54 9.9626 Tf 48.966 0 Td [(and)]TJ/F59 9.9626 Tf 18.759 0 Td [(psb_geall)]TJ + [-500(Allocate)-190(the)-190(sparse)-190(matrices)-190(and)-190(dense)-190(vectors)-190(with)]TJ/F62 9.9626 Tf 237.676 0 Td [(psb_spall)]TJ/F57 9.9626 Tf 48.966 0 Td [(and)]TJ/F62 9.9626 Tf 18.759 0 Td [(psb_geall)]TJ 0 g 0 G -/F54 9.9626 Tf -305.401 -22.308 Td [(6.)]TJ +/F57 9.9626 Tf -305.401 -22.308 Td [(6.)]TJ 0 g 0 G [-500(Loop)-250(over)-250(the)-250(time)-250(steps:)]TJ 0 g 0 G 17.773 -22.307 Td [(\050a\051)]TJ 0 g 0 G - [-500(If)-297(after)-298(\002rst)-297(time)-298(step,)-309(r)18(einitialize)-297(the)-298(sparse)-297(matrix)-298(with)]TJ/F59 9.9626 Tf 269.151 0 Td [(psb_sprn)]TJ/F54 9.9626 Tf 41.843 0 Td [(;)]TJ -294.396 -11.955 Td [(also)-250(zer)18(o)-250(out)-250(the)-250(dense)-250(vectors;)]TJ + [-500(If)-297(after)-298(\002rst)-297(time)-298(step,)-309(r)18(einitialize)-297(the)-298(sparse)-297(matrix)-298(with)]TJ/F62 9.9626 Tf 269.151 0 Td [(psb_sprn)]TJ/F57 9.9626 Tf 41.843 0 Td [(;)]TJ -294.396 -11.955 Td [(also)-250(zer)18(o)-250(out)-250(the)-250(dense)-250(vectors;)]TJ 0 g 0 G -17.126 -17.131 Td [(\050b\051)]TJ 0 g 0 G - [-500(Loop)-428(over)-429(the)-428(mesh,)-473(generate)-429(the)-428(coef)18(\002cients)-429(and)-428(insert/update)]TJ 17.126 -11.955 Td [(them)-250(with)]TJ/F59 9.9626 Tf 47.85 0 Td [(psb_spins)]TJ/F54 9.9626 Tf 49.563 0 Td [(and)]TJ/F59 9.9626 Tf 19.358 0 Td [(psb_geins)]TJ + [-500(Loop)-428(over)-429(the)-428(mesh,)-473(generate)-429(the)-428(coef)18(\002cients)-429(and)-428(insert/update)]TJ 17.126 -11.955 Td [(them)-250(with)]TJ/F62 9.9626 Tf 47.85 0 Td [(psb_spins)]TJ/F57 9.9626 Tf 49.563 0 Td [(and)]TJ/F62 9.9626 Tf 19.358 0 Td [(psb_geins)]TJ 0 g 0 G -/F54 9.9626 Tf -132.811 -17.131 Td [(\050c\051)]TJ +/F57 9.9626 Tf -132.811 -17.131 Td [(\050c\051)]TJ 0 g 0 G - [-500(Assemble)-250(with)]TJ/F59 9.9626 Tf 84.223 0 Td [(psb_spasb)]TJ/F54 9.9626 Tf 49.564 0 Td [(and)]TJ/F59 9.9626 Tf 19.357 0 Td [(psb_geasb)]TJ + [-500(Assemble)-250(with)]TJ/F62 9.9626 Tf 84.223 0 Td [(psb_spasb)]TJ/F57 9.9626 Tf 49.564 0 Td [(and)]TJ/F62 9.9626 Tf 19.357 0 Td [(psb_geasb)]TJ 0 g 0 G -/F54 9.9626 Tf -154.808 -17.132 Td [(\050d\051)]TJ +/F57 9.9626 Tf -154.808 -17.132 Td [(\050d\051)]TJ 0 g 0 G - [-500(Choose)-250(and)-250(build)-250(pr)18(econditioner)-250(with)]TJ/F59 9.9626 Tf 188.671 0 Td [(prec%init)]TJ/F54 9.9626 Tf 49.563 0 Td [(and)]TJ/F59 9.9626 Tf 19.358 0 Td [(prec%build)]TJ + [-500(Choose)-250(and)-250(build)-250(pr)18(econditioner)-250(with)]TJ/F62 9.9626 Tf 188.671 0 Td [(prec%init)]TJ/F57 9.9626 Tf 49.563 0 Td [(and)]TJ/F62 9.9626 Tf 19.358 0 Td [(prec%build)]TJ 0 g 0 G -/F54 9.9626 Tf -256.277 -17.131 Td [(\050e\051)]TJ +/F57 9.9626 Tf -256.277 -17.131 Td [(\050e\051)]TJ 0 g 0 G - [-500(Call)-250(the)-250(iterative)-250(method)-250(of)-250(choice,)-250(e.g.)]TJ/F59 9.9626 Tf 190.902 0 Td [(psb_bicgstab)]TJ/F54 9.9626 Tf -221.338 -22.307 Td [(The)-276(insertion)-275(r)18(outines)-276(will)-275(be)-276(called)-275(as)-276(many)-276(times)-275(as)-276(needed;)-288(they)-276(only)-275(need)]TJ 0 -11.955 Td [(to)-214(be)-213(called)-214(on)-213(the)-214(data)-214(t)1(hat)-214(is)-214(actually)-213(allocated)-214(to)-213(the)-214(curr)18(ent)-213(pr)18(ocess,)-221(i.e.)-298(each)]TJ 0 -11.955 Td [(pr)18(ocess)-250(generates)-250(its)-250(own)-250(data.)]TJ 14.944 -12.551 Td [(In)-219(principle)-218(ther)18(e)-219(is)-219(no)-218(speci\002c)-219(or)18(der)-219(in)-218(the)-219(calls)-219(to)]TJ/F59 9.9626 Tf 220.804 0 Td [(psb_spins)]TJ/F54 9.9626 Tf 47.073 0 Td [(,)-225(nor)-219(is)-218(ther)18(e)-219(a)]TJ -282.821 -11.955 Td [(r)18(equir)18(ement)-243(to)-243(build)-243(a)-242(matrix)-243(r)18(ow)-243(in)-243(its)-243(entir)18(ety)-243(befor)18(e)-242(calling)-243(the)-243(r)18(outine;)-245(this)]TJ 0 -11.955 Td [(allows)-364(t)1(he)-364(application)-363(pr)18(ogrammer)-364(to)-363(walk)-364(thr)18(ough)-363(the)-364(discr)18(etization)-363(mesh)]TJ 0 -11.955 Td [(element)-316(by)-317(element,)-333(generating)-316(the)-316(main)-317(part)-316(of)-316(a)-317(given)-316(matrix)-316(r)18(ow)-317(but)-316(also)]TJ 0 -11.956 Td [(contributions)-250(to)-250(the)-250(r)18(ows)-250(corr)18(esponding)-250(to)-250(neighbouring)-250(elements.)]TJ 14.944 -12.55 Td [(Fr)18(om)-328(a)-329(func)1(tional)-329(point)-328(of)-328(view)-328(it)-329(is)-328(even)-328(possible)-328(to)-329(exe)1(cute)-329(one)-328(call)-328(for)]TJ -14.944 -11.955 Td [(each)-204(nonzer)18(o)-204(coef)18(\002cient;)-219(however)-203(this)-204(would)-204(have)-204(a)-204(subst)1(antial)-204(computational)]TJ 0 -11.955 Td [(over)18(head.)-457(It)-299(is)-299(ther)18(efor)18(e)-299(advisable)-299(to)-299(pack)-299(a)-299(certain)-299(amount)-299(of)-299(data)-299(into)-299(each)]TJ 0 -11.956 Td [(call)-303(to)-303(the)-302(insertion)-303(r)18(outine,)-316(say)-303(touching)-303(on)-302(a)-303(few)-303(tens)-303(of)-302(r)18(ows;)-330(the)-302(best)-303(per)18(-)]TJ 0 -11.955 Td [(formng)-342(value)-343(would)-342(depend)-342(on)-342(both)-343(the)-342(ar)18(chitectur)18(e)-342(of)-343(the)-342(computer)-342(being)]TJ 0 -11.955 Td [(used)-223(and)-223(on)-222(the)-223(pr)18(oblem)-223(str)8(uctur)18(e.)-301(At)-222(the)-223(opposite)-223(extr)18(eme,)-228(it)-223(would)-222(be)-223(possi-)]TJ 0 -11.955 Td [(ble)-267(to)-267(generate)-267(the)-267(entir)18(e)-267(part)-267(of)-267(a)-267(coef)18(\002cient)-267(matrix)-267(r)18(esiding)-267(on)-267(a)-267(pr)18(ocess)-267(and)]TJ 0 -11.955 Td [(pass)-275(it)-274(in)-275(a)-275(single)-274(call)-275(to)]TJ/F59 9.9626 Tf 108.421 0 Td [(psb_spins)]TJ/F54 9.9626 Tf 47.073 0 Td [(;)-287(this,)-281(however)74(,)-281(would)-274(entail)-275(a)-275(doubling)-274(of)]TJ -155.494 -11.956 Td [(memory)-250(occupation,)-250(and)-250(thus)-250(would)-250(be)-250(almost)-250(always)-250(far)-250(fr)18(om)-250(optimal.)]TJ + [-500(Call)-250(the)-250(iterative)-250(method)-250(of)-250(choice,)-250(e.g.)]TJ/F62 9.9626 Tf 190.902 0 Td [(psb_bicgstab)]TJ/F57 9.9626 Tf -221.338 -22.307 Td [(The)-276(insertion)-275(r)18(outines)-276(will)-275(be)-276(called)-275(as)-276(many)-276(times)-275(as)-276(needed;)-288(they)-276(only)-275(need)]TJ 0 -11.955 Td [(to)-214(be)-213(called)-214(on)-213(the)-214(data)-214(t)1(hat)-214(is)-214(actually)-213(allocated)-214(to)-213(the)-214(curr)18(ent)-213(pr)18(ocess,)-221(i.e.)-298(each)]TJ 0 -11.955 Td [(pr)18(ocess)-250(generates)-250(its)-250(own)-250(data.)]TJ 14.944 -12.551 Td [(In)-219(principle)-218(ther)18(e)-219(is)-219(no)-218(speci\002c)-219(or)18(der)-219(in)-218(the)-219(calls)-219(to)]TJ/F62 9.9626 Tf 220.804 0 Td [(psb_spins)]TJ/F57 9.9626 Tf 47.073 0 Td [(,)-225(nor)-219(is)-218(ther)18(e)-219(a)]TJ -282.821 -11.955 Td [(r)18(equir)18(ement)-243(to)-243(build)-243(a)-242(matrix)-243(r)18(ow)-243(in)-243(its)-243(entir)18(ety)-243(befor)18(e)-242(calling)-243(the)-243(r)18(outine;)-245(this)]TJ 0 -11.955 Td [(allows)-364(t)1(he)-364(application)-363(pr)18(ogrammer)-364(to)-363(walk)-364(thr)18(ough)-363(the)-364(discr)18(etization)-363(mesh)]TJ 0 -11.955 Td [(element)-316(by)-317(element,)-333(generating)-316(the)-316(main)-317(part)-316(of)-316(a)-317(given)-316(matrix)-316(r)18(ow)-317(but)-316(also)]TJ 0 -11.956 Td [(contributions)-250(to)-250(the)-250(r)18(ows)-250(corr)18(esponding)-250(to)-250(neighbouring)-250(elements.)]TJ 14.944 -12.55 Td [(Fr)18(om)-328(a)-329(func)1(tional)-329(point)-328(of)-328(view)-328(it)-329(is)-328(even)-328(possible)-328(to)-329(exe)1(cute)-329(one)-328(call)-328(for)]TJ -14.944 -11.955 Td [(each)-204(nonzer)18(o)-204(coef)18(\002cient;)-219(however)-203(this)-204(would)-204(have)-204(a)-204(subst)1(antial)-204(computational)]TJ 0 -11.955 Td [(over)18(head.)-457(It)-299(is)-299(ther)18(efor)18(e)-299(advisable)-299(to)-299(pack)-299(a)-299(certain)-299(amount)-299(of)-299(data)-299(into)-299(each)]TJ 0 -11.956 Td [(call)-303(to)-303(the)-302(insertion)-303(r)18(outine,)-316(say)-303(touching)-303(on)-302(a)-303(few)-303(tens)-303(of)-302(r)18(ows;)-330(the)-302(best)-303(per)18(-)]TJ 0 -11.955 Td [(formng)-342(value)-343(would)-342(depend)-342(on)-342(both)-343(the)-342(ar)18(chitectur)18(e)-342(of)-343(the)-342(computer)-342(being)]TJ 0 -11.955 Td [(used)-223(and)-223(on)-222(the)-223(pr)18(oblem)-223(str)8(uctur)18(e.)-301(At)-222(the)-223(opposite)-223(extr)18(eme,)-228(it)-223(would)-222(be)-223(possi-)]TJ 0 -11.955 Td [(ble)-267(to)-267(generate)-267(the)-267(entir)18(e)-267(part)-267(of)-267(a)-267(coef)18(\002cient)-267(matrix)-267(r)18(esiding)-267(on)-267(a)-267(pr)18(ocess)-267(and)]TJ 0 -11.955 Td [(pass)-275(it)-274(in)-275(a)-275(single)-274(call)-275(to)]TJ/F62 9.9626 Tf 108.421 0 Td [(psb_spins)]TJ/F57 9.9626 Tf 47.073 0 Td [(;)-287(this,)-281(however)74(,)-281(would)-274(entail)-275(a)-275(doubling)-274(of)]TJ -155.494 -11.956 Td [(memory)-250(occupation,)-250(and)-250(thus)-250(would)-250(be)-250(almost)-250(always)-250(far)-250(fr)18(om)-250(optimal.)]TJ 0 g 0 G ET q @@ -4921,24 +4921,24 @@ q []0 d 0 J 0.398 w 0 0 m 137.482 0 l S Q BT -/F54 5.9776 Tf 110.755 132.683 Td [(3)]TJ/F54 7.9701 Tf 3.487 -2.893 Td [(The)-260(subr)18(outine)-260(style)]TJ/F89 7.9701 Tf 74.235 0 Td [(psb)]TJ +/F57 5.9776 Tf 110.755 132.683 Td [(3)]TJ/F57 7.9701 Tf 3.487 -2.893 Td [(The)-260(subr)18(outine)-260(style)]TJ/F92 7.9701 Tf 74.235 0 Td [(psb)]TJ ET q 1 0 0 1 201.687 129.989 cm []0 d 0 J 0.398 w 0 0 m 2.541 0 l S Q BT -/F89 7.9701 Tf 204.228 129.79 Td [(precinit)]TJ/F54 7.9701 Tf 35.946 0 Td [(and)]TJ/F89 7.9701 Tf 15.567 0 Td [(psb)]TJ +/F92 7.9701 Tf 204.228 129.79 Td [(precinit)]TJ/F57 7.9701 Tf 35.946 0 Td [(and)]TJ/F92 7.9701 Tf 15.567 0 Td [(psb)]TJ ET q 1 0 0 1 268.951 129.989 cm []0 d 0 J 0.398 w 0 0 m 2.541 0 l S Q BT -/F89 7.9701 Tf 271.492 129.79 Td [(precbl)]TJ/F54 7.9701 Tf 27.478 0 Td [(ar)18(e)-260(still)-260(supported)-260(for)-260(backwar)18(d)-260(compat-)]TJ -199.075 -9.464 Td [(ibility)]TJ +/F92 7.9701 Tf 271.492 129.79 Td [(precbl)]TJ/F57 7.9701 Tf 27.478 0 Td [(ar)18(e)-260(still)-260(supported)-260(for)-260(backwar)18(d)-260(compat-)]TJ -199.075 -9.464 Td [(ibility)]TJ 0 g 0 G 0 g 0 G -/F54 9.9626 Tf 169.365 -29.888 Td [(7)]TJ +/F57 9.9626 Tf 169.365 -29.888 Td [(7)]TJ 0 g 0 G ET @@ -4952,7 +4952,7 @@ stream 0 g 0 G 0 g 0 G BT -/F51 9.9626 Tf 150.705 706.129 Td [(2.3.1)-1000(User)18(-de\002ned)-250(index)-250(mappings)]TJ/F54 9.9626 Tf 0 -18.964 Td [(PSBLAS)-316(supports)-315(user)18(-de\002ned)-316(global)-316(to)-315(local)-316(index)-316(mappings,)-332(subject)-315(to)-316(the)]TJ 0 -11.955 Td [(constraints)-250(outlined)-250(in)-250(sec.)]TJ +/F54 9.9626 Tf 150.705 706.129 Td [(2.3.1)-1000(User)18(-de\002ned)-250(index)-250(mappings)]TJ/F57 9.9626 Tf 0 -18.964 Td [(PSBLAS)-316(supports)-315(user)18(-de\002ned)-316(global)-316(to)-315(local)-316(index)-316(mappings,)-332(subject)-315(to)-316(the)]TJ 0 -11.955 Td [(constraints)-250(outlined)-250(in)-250(sec.)]TJ 0 0 1 rg 0 0 1 RG [-250(2.3)]TJ 0 g 0 G @@ -4960,39 +4960,39 @@ BT 0 g 0 G 12.453 -19.925 Td [(1.)]TJ 0 g 0 G - [-500(The)-250(set)-250(of)-250(indices)-250(owned)-250(locally)-250(must)-250(be)-250(mapped)-250(to)-250(the)-250(set)-250(1)-179(.)-192(.)-191(.)]TJ/F52 9.9626 Tf 294.494 0 Td [(n)]TJ/F54 9.9626 Tf 5.664 -1.495 Td [(r)18(ow)]TJ/F52 5.9776 Tf 17.537 -1.648 Td [(i)]TJ/F54 9.9626 Tf 2.775 3.143 Td [(;)]TJ + [-500(The)-250(set)-250(of)-250(indices)-250(owned)-250(locally)-250(must)-250(be)-250(mapped)-250(to)-250(the)-250(set)-250(1)-179(.)-192(.)-191(.)]TJ/F55 9.9626 Tf 294.494 0 Td [(n)]TJ/F57 9.9626 Tf 5.664 -1.495 Td [(r)18(ow)]TJ/F55 5.9776 Tf 17.537 -1.648 Td [(i)]TJ/F57 9.9626 Tf 2.775 3.143 Td [(;)]TJ 0 g 0 G -320.47 -19.926 Td [(2.)]TJ 0 g 0 G - [-500(The)-250(set)-250(of)-250(halo)-250(points)-250(must)-250(be)-250(mapped)-250(to)-250(the)-250(set)]TJ/F52 9.9626 Tf 228.286 0 Td [(n)]TJ/F54 9.9626 Tf 5.664 -1.494 Td [(r)18(ow)]TJ/F52 5.9776 Tf 17.537 -1.648 Td [(i)]TJ/F85 10.3811 Tf 4.836 3.142 Td [(+)]TJ/F54 9.9626 Tf 10.132 0 Td [(1)-179(.)-192(.)-191(.)]TJ/F52 9.9626 Tf 19.966 0 Td [(n)]TJ/F54 9.9626 Tf 5.664 -3.83 Td [(col)]TJ/F52 5.9776 Tf 12.795 -1.649 Td [(i)]TJ/F54 9.9626 Tf 2.774 5.479 Td [(;)]TJ -320.107 -21.759 Td [(but)-289(otherwise)-289(the)-288(mapping)-289(is)-289(arbitrary)111(.)-426(The)-289(user)-289(application)-289(is)-288(r)18(esponsible)-289(to)]TJ 0 -11.956 Td [(ensur)18(e)-262(consistency)-261(of)-262(this)-262(mapping;)-267(some)-262(err)18(ors)-262(may)-261(be)-262(caught)-262(by)-261(the)-262(library)111(,)]TJ 0 -11.955 Td [(but)-236(this)-236(is)-236(not)-236(guaranteed.)-305(The)-236(application)-236(str)8(uctur)18(e)-236(to)-236(support)-236(this)-236(usage)-236(is)-236(as)]TJ 0 -11.955 Td [(follows:)]TJ + [-500(The)-250(set)-250(of)-250(halo)-250(points)-250(must)-250(be)-250(mapped)-250(to)-250(the)-250(set)]TJ/F55 9.9626 Tf 228.286 0 Td [(n)]TJ/F57 9.9626 Tf 5.664 -1.494 Td [(r)18(ow)]TJ/F55 5.9776 Tf 17.537 -1.648 Td [(i)]TJ/F88 10.3811 Tf 4.836 3.142 Td [(+)]TJ/F57 9.9626 Tf 10.132 0 Td [(1)-179(.)-192(.)-191(.)]TJ/F55 9.9626 Tf 19.966 0 Td [(n)]TJ/F57 9.9626 Tf 5.664 -3.83 Td [(col)]TJ/F55 5.9776 Tf 12.795 -1.649 Td [(i)]TJ/F57 9.9626 Tf 2.774 5.479 Td [(;)]TJ -320.107 -21.759 Td [(but)-289(otherwise)-289(the)-288(mapping)-289(is)-289(arbitrary)111(.)-426(The)-289(user)-289(application)-289(is)-288(r)18(esponsible)-289(to)]TJ 0 -11.956 Td [(ensur)18(e)-262(consistency)-261(of)-262(this)-262(mapping;)-267(some)-262(err)18(ors)-262(may)-261(be)-262(caught)-262(by)-261(the)-262(library)111(,)]TJ 0 -11.955 Td [(but)-236(this)-236(is)-236(not)-236(guaranteed.)-305(The)-236(application)-236(str)8(uctur)18(e)-236(to)-236(support)-236(this)-236(usage)-236(is)-236(as)]TJ 0 -11.955 Td [(follows:)]TJ 0 g 0 G 12.453 -19.925 Td [(1.)]TJ 0 g 0 G - [-500(Initialize)-190(index)-190(space)-190(with)]TJ/F59 9.9626 Tf 128.098 0 Td [(psb_cdall\050ictx,desc,info,vl=vl,lidx=lidx\051)]TJ/F54 9.9626 Tf -115.645 -11.955 Td [(passing)-292(the)-293(vectors)]TJ/F59 9.9626 Tf 87.882 0 Td [(vl\050:\051)]TJ/F54 9.9626 Tf 29.064 0 Td [(containing)-292(the)-293(set)-292(of)-293(global)-292(indices)-292(owned)-293(by)]TJ -116.946 -11.956 Td [(the)-327(curr)18(ent)-328(pr)18(ocess)-327(and)]TJ/F59 9.9626 Tf 108.493 0 Td [(lidx\050:\051)]TJ/F54 9.9626 Tf 39.873 0 Td [(containing)-327(the)-327(corr)18(esponding)-328(local)-327(in-)]TJ -148.366 -11.955 Td [(dices;)]TJ + [-500(Initialize)-190(index)-190(space)-190(with)]TJ/F62 9.9626 Tf 128.098 0 Td [(psb_cdall\050ictx,desc,info,vl=vl,lidx=lidx\051)]TJ/F57 9.9626 Tf -115.645 -11.955 Td [(passing)-292(the)-293(vectors)]TJ/F62 9.9626 Tf 87.882 0 Td [(vl\050:\051)]TJ/F57 9.9626 Tf 29.064 0 Td [(containing)-292(the)-293(set)-292(of)-293(global)-292(indices)-292(owned)-293(by)]TJ -116.946 -11.956 Td [(the)-327(curr)18(ent)-328(pr)18(ocess)-327(and)]TJ/F62 9.9626 Tf 108.493 0 Td [(lidx\050:\051)]TJ/F57 9.9626 Tf 39.873 0 Td [(containing)-327(the)-327(corr)18(esponding)-328(local)-327(in-)]TJ -148.366 -11.955 Td [(dices;)]TJ 0 g 0 G -12.453 -19.925 Td [(2.)]TJ 0 g 0 G - [-500(Add)-412(the)-412(halo)-412(points)]TJ/F59 9.9626 Tf 109.326 0 Td [(ja\050:\051)]TJ/F54 9.9626 Tf 30.256 0 Td [(and)-412(their)-412(associated)-412(local)-412(indices)]TJ/F59 9.9626 Tf 155.064 0 Td [(lidx\050:\051)]TJ/F54 9.9626 Tf -282.193 -11.955 Td [(with)-250(a\050some\051)-250(call\050s\051)-250(to)]TJ/F59 9.9626 Tf 99.815 0 Td [(psb_cdins\050nz,ja,desc,info,lidx=lidx\051)]TJ/F54 9.9626 Tf 188.292 0 Td [(;)]TJ + [-500(Add)-412(the)-412(halo)-412(points)]TJ/F62 9.9626 Tf 109.326 0 Td [(ja\050:\051)]TJ/F57 9.9626 Tf 30.256 0 Td [(and)-412(their)-412(associated)-412(local)-412(indices)]TJ/F62 9.9626 Tf 155.064 0 Td [(lidx\050:\051)]TJ/F57 9.9626 Tf -282.193 -11.955 Td [(with)-250(a\050some\051)-250(call\050s\051)-250(to)]TJ/F62 9.9626 Tf 99.815 0 Td [(psb_cdins\050nz,ja,desc,info,lidx=lidx\051)]TJ/F57 9.9626 Tf 188.292 0 Td [(;)]TJ 0 g 0 G -300.56 -19.926 Td [(3.)]TJ 0 g 0 G - [-500(Assemble)-250(the)-250(descriptor)-250(with)]TJ/F59 9.9626 Tf 144.387 0 Td [(psb_cdasb)]TJ/F54 9.9626 Tf 47.073 0 Td [(;)]TJ + [-500(Assemble)-250(the)-250(descriptor)-250(with)]TJ/F62 9.9626 Tf 144.387 0 Td [(psb_cdasb)]TJ/F57 9.9626 Tf 47.073 0 Td [(;)]TJ 0 g 0 G -191.46 -19.925 Td [(4.)]TJ 0 g 0 G - [-500(Build)-190(the)-190(sparse)-190(matrices)-190(and)-190(vectors,)-202(optionally)-190(making)-190(use)-190(in)]TJ/F59 9.9626 Tf 288.117 0 Td [(psb_spins)]TJ/F54 9.9626 Tf -275.664 -11.955 Td [(and)]TJ/F59 9.9626 Tf 19.958 0 Td [(psb_geins)]TJ/F54 9.9626 Tf 50.163 0 Td [(of)-310(the)]TJ/F59 9.9626 Tf 28.756 0 Td [(local)]TJ/F54 9.9626 Tf 29.243 0 Td [(ar)18(gument)-310(specifying)-310(that)-310(the)-311(indices)-310(in)]TJ/F59 9.9626 Tf 177.734 0 Td [(ia)]TJ/F54 9.9626 Tf 10.46 0 Td [(,)]TJ/F59 9.9626 Tf -316.314 -11.955 Td [(ja)]TJ/F54 9.9626 Tf 12.952 0 Td [(and)]TJ/F59 9.9626 Tf 19.357 0 Td [(irw)]TJ/F54 9.9626 Tf 15.691 0 Td [(,)-250(r)18(espectively)111(,)-250(ar)18(e)-250(alr)18(eady)-250(local)-250(indices.)]TJ/F51 11.9552 Tf -72.906 -29.133 Td [(2.4)-1000(Programming)-250(model)]TJ/F54 9.9626 Tf 0 -18.964 Td [(The)-316(PSBLAS)-315(librarary)-316(is)-315(based)-316(on)-315(the)-316(Single)-315(Pr)18(ogram)-316(Multiple)-316(Data)-315(\050SPMD\051)]TJ 0 -11.955 Td [(pr)18(ogramming)-277(model:)-364(each)-277(pr)18(ocess)-277(participatin)1(g)-277(in)-277(the)-277(computation)-277(performs)]TJ 0 -11.955 Td [(the)-250(same)-250(actions)-250(on)-250(a)-250(chunk)-250(of)-250(data.)-310(Parallelism)-250(is)-250(thus)-250(data-driven.)]TJ 14.944 -11.956 Td [(Because)-313(of)-313(this)-312(str)8(uctur)18(e,)-329(many)-313(subr)18(outines)-313(coor)18(dinate)-312(their)-313(action)-313(acr)18(oss)]TJ -14.944 -11.955 Td [(the)-336(various)-336(pr)18(ocesses,)-358(thus)-336(pr)18(oviding)-336(an)-336(implicit)-336(synchr)18(onization)-336(point,)-358(and)]TJ 0 -11.955 Td [(ther)18(efor)18(e)]TJ/F52 9.9626 Tf 43.283 0 Td [(must)]TJ/F54 9.9626 Tf 24.136 0 Td [(be)-367(called)-366(simultaneously)-367(by)-366(all)-367(pr)18(ocesses)-367(participating)-366(in)-367(the)]TJ -67.419 -11.955 Td [(computation.)-525(This)-321(is)-322(certainly)-322(tr)8(ue)-321(for)-322(the)-322(data)-321(allocation)-322(and)-322(assembl)1(y)-322(r)18(ou-)]TJ 0 -11.955 Td [(tines,)-250(for)-250(all)-250(the)-250(computational)-250(r)18(outines)-250(and)-250(for)-250(some)-250(of)-250(the)-250(tools)-250(r)18(outines.)]TJ 14.944 -11.955 Td [(However)-333(ther)18(e)-332(ar)18(e)-333(many)-333(cases)-332(wher)18(e)-333(no)-333(synchr)18(onizati)1(on,)-354(and)-332(indeed)-333(no)]TJ -14.944 -11.956 Td [(communication)-344(among)-343(pr)18(ocesses,)-367(is)-344(implied;)-390(for)-344(instance,)-367(all)-344(the)-343(r)18(outines)-344(in)]TJ 0 -11.955 Td [(sec.)]TJ + [-500(Build)-190(the)-190(sparse)-190(matrices)-190(and)-190(vectors,)-202(optionally)-190(making)-190(use)-190(in)]TJ/F62 9.9626 Tf 288.117 0 Td [(psb_spins)]TJ/F57 9.9626 Tf -275.664 -11.955 Td [(and)]TJ/F62 9.9626 Tf 19.958 0 Td [(psb_geins)]TJ/F57 9.9626 Tf 50.163 0 Td [(of)-310(the)]TJ/F62 9.9626 Tf 28.756 0 Td [(local)]TJ/F57 9.9626 Tf 29.243 0 Td [(ar)18(gument)-310(specifying)-310(that)-310(the)-311(indices)-310(in)]TJ/F62 9.9626 Tf 177.734 0 Td [(ia)]TJ/F57 9.9626 Tf 10.46 0 Td [(,)]TJ/F62 9.9626 Tf -316.314 -11.955 Td [(ja)]TJ/F57 9.9626 Tf 12.952 0 Td [(and)]TJ/F62 9.9626 Tf 19.357 0 Td [(irw)]TJ/F57 9.9626 Tf 15.691 0 Td [(,)-250(r)18(espectively)111(,)-250(ar)18(e)-250(alr)18(eady)-250(local)-250(indices.)]TJ/F54 11.9552 Tf -72.906 -29.133 Td [(2.4)-1000(Programming)-250(model)]TJ/F57 9.9626 Tf 0 -18.964 Td [(The)-316(PSBLAS)-315(librarary)-316(is)-315(based)-316(on)-315(the)-316(Single)-315(Pr)18(ogram)-316(Multiple)-316(Data)-315(\050SPMD\051)]TJ 0 -11.955 Td [(pr)18(ogramming)-277(model:)-364(each)-277(pr)18(ocess)-277(participatin)1(g)-277(in)-277(the)-277(computation)-277(performs)]TJ 0 -11.955 Td [(the)-250(same)-250(actions)-250(on)-250(a)-250(chunk)-250(of)-250(data.)-310(Parallelism)-250(is)-250(thus)-250(data-driven.)]TJ 14.944 -11.956 Td [(Because)-313(of)-313(this)-312(str)8(uctur)18(e,)-329(many)-313(subr)18(outines)-313(coor)18(dinate)-312(their)-313(action)-313(acr)18(oss)]TJ -14.944 -11.955 Td [(the)-336(various)-336(pr)18(ocesses,)-358(thus)-336(pr)18(oviding)-336(an)-336(implicit)-336(synchr)18(onization)-336(point,)-358(and)]TJ 0 -11.955 Td [(ther)18(efor)18(e)]TJ/F55 9.9626 Tf 43.283 0 Td [(must)]TJ/F57 9.9626 Tf 24.136 0 Td [(be)-367(called)-366(simultaneously)-367(by)-366(all)-367(pr)18(ocesses)-367(participating)-366(in)-367(the)]TJ -67.419 -11.955 Td [(computation.)-525(This)-321(is)-322(certainly)-322(tr)8(ue)-321(for)-322(the)-322(data)-321(allocation)-322(and)-322(assembl)1(y)-322(r)18(ou-)]TJ 0 -11.955 Td [(tines,)-250(for)-250(all)-250(the)-250(computational)-250(r)18(outines)-250(and)-250(for)-250(some)-250(of)-250(the)-250(tools)-250(r)18(outines.)]TJ 14.944 -11.955 Td [(However)-333(ther)18(e)-332(ar)18(e)-333(many)-333(cases)-332(wher)18(e)-333(no)-333(synchr)18(onizati)1(on,)-354(and)-332(indeed)-333(no)]TJ -14.944 -11.956 Td [(communication)-344(among)-343(pr)18(ocesses,)-367(is)-344(implied;)-390(for)-344(instance,)-367(all)-344(the)-343(r)18(outines)-344(in)]TJ 0 -11.955 Td [(sec.)]TJ 0 0 1 rg 0 0 1 RG [-246(3)]TJ 0 g 0 G [-247(ar)18(e)-246(only)-246(acting)-246(on)-247(the)-246(local)-246(data)-247(str)8(uctur)18(es,)-247(and)-246(thus)-246(may)-247(be)-246(called)-246(inde-)]TJ 0 -11.955 Td [(pendently)111(.)-306(The)-238(most)-238(important)-237(case)-238(is)-238(that)-238(of)-238(the)-238(coef)18(\002cient)-237(insertion)-238(r)18(outines:)]TJ 0 -11.955 Td [(since)-231(the)-231(number)-231(of)-230(coef)18(\002cients)-231(in)-231(the)-231(sparse)-231(and)-231(dense)-230(matrices)-231(varies)-231(among)]TJ 0 -11.955 Td [(the)-248(pr)18(ocessors,)-249(and)-249(since)-248(the)-249(user)-248(is)-249(fr)18(ee)-248(to)-249(choose)-248(an)-249(arbitrary)-248(or)18(der)-249(in)-248(builid-)]TJ 0 -11.955 Td [(ing)-250(the)-250(matrix)-250(entries,)-250(these)-250(r)18(outines)-250(cannot)-250(imply)-250(a)-250(synchr)18(onization.)]TJ 14.944 -11.956 Td [(Thr)18(oughout)-250(this)-250(user)-74('s)-250(guide)-250(each)-250(subr)18(outine)-250(will)-250(be)-250(clearly)-250(indicated)-250(as:)]TJ 0 g 0 G -/F51 9.9626 Tf -14.944 -19.925 Td [(Synchronous:)]TJ +/F54 9.9626 Tf -14.944 -19.925 Td [(Synchronous:)]TJ 0 g 0 G -/F54 9.9626 Tf 67.247 0 Td [(must)-307(be)-307(called)-308(simultaneously)-307(by)-307(all)-307(the)-308(pr)18(ocesses)-307(in)-307(the)-307(r)18(ele-)]TJ -42.341 -11.955 Td [(vant)-250(communication)-250(context;)]TJ +/F57 9.9626 Tf 67.247 0 Td [(must)-307(be)-307(called)-308(simultaneously)-307(by)-307(all)-307(the)-308(pr)18(ocesses)-307(in)-307(the)-307(r)18(ele-)]TJ -42.341 -11.955 Td [(vant)-250(communication)-250(context;)]TJ 0 g 0 G -/F51 9.9626 Tf -24.906 -19.925 Td [(Asynchronous:)]TJ +/F54 9.9626 Tf -24.906 -19.925 Td [(Asynchronous:)]TJ 0 g 0 G -/F54 9.9626 Tf 73.334 0 Td [(may)-250(be)-250(called)-250(in)-250(a)-250(totally)-250(independent)-250(manner)74(.)]TJ +/F57 9.9626 Tf 73.334 0 Td [(may)-250(be)-250(called)-250(in)-250(a)-250(totally)-250(independent)-250(manner)74(.)]TJ 0 g 0 G 96.031 -56.634 Td [(8)]TJ 0 g 0 G @@ -5008,16 +5008,16 @@ stream 0 g 0 G 0 g 0 G BT -/F51 14.3462 Tf 99.895 705.784 Td [(3)-1000(Data)-250(Structures)-250(and)-250(Classes)]TJ/F54 9.9626 Tf 0 -23.091 Td [(In)-289(this)-288(chapter)-289(we)-289(illustrate)-288(the)-289(data)-289(str)8(uctur)18(es)-288(used)-289(for)-289(de\002nition)-289(of)-288(r)18(outines)]TJ 0 -11.956 Td [(interfaces.)-622(They)-354(include)-354(data)-354(str)8(uctur)18(es)-354(for)-354(sparse)-354(matrices,)-380(communication)]TJ 0 -11.955 Td [(descriptors)-250(and)-250(pr)18(econditioners.)]TJ 14.944 -12.156 Td [(All)-248(the)-248(data)-249(types)-248(and)-248(the)-248(basic)-248(subr)18(outine)-249(interfaces)-248(r)18(elated)-248(to)-248(descriptors)]TJ -14.944 -11.955 Td [(and)-345(sparse)-345(matrices)-344(ar)18(e)-345(de\002ned)-345(in)-345(the)-345(module)]TJ/F59 9.9626 Tf 213.323 0 Td [(psb_base_mod)]TJ/F54 9.9626 Tf 62.764 0 Td [(;)-392(this)-345(will)-345(have)]TJ -276.087 -11.955 Td [(to)-381(be)-381(included)-381(by)-381(every)-381(user)-381(subr)18(outine)-381(that)-381(makes)-381(u)1(se)-381(of)-381(the)-381(library)111(.)-703(The)]TJ 0 -11.956 Td [(pr)18(econditioners)-250(ar)18(e)-250(de\002ned)-250(in)-250(the)-250(module)]TJ/F59 9.9626 Tf 187.993 0 Td [(psb_prec_mod)]TJ/F54 9.9626 Tf -173.049 -12.156 Td [(Integer)74(,)-433(r)18(eal)-396(and)-397(complex)-396(data)-396(types)-397(ar)18(e)-396(parametrized)-396(with)-397(a)-396(kind)-396(type)]TJ -14.944 -11.955 Td [(de\002ned)-250(in)-250(the)-250(library)-250(as)-250(follows:)]TJ +/F54 14.3462 Tf 99.895 705.784 Td [(3)-1000(Data)-250(Structures)-250(and)-250(Classes)]TJ/F57 9.9626 Tf 0 -23.091 Td [(In)-289(this)-288(chapter)-289(we)-289(illustrate)-288(the)-289(data)-289(str)8(uctur)18(es)-288(used)-289(for)-289(de\002nition)-289(of)-288(r)18(outines)]TJ 0 -11.956 Td [(interfaces.)-622(They)-354(include)-354(data)-354(str)8(uctur)18(es)-354(for)-354(sparse)-354(matrices,)-380(communication)]TJ 0 -11.955 Td [(descriptors)-250(and)-250(pr)18(econditioners.)]TJ 14.944 -12.156 Td [(All)-248(the)-248(data)-249(types)-248(and)-248(the)-248(basic)-248(subr)18(outine)-249(interfaces)-248(r)18(elated)-248(to)-248(descriptors)]TJ -14.944 -11.955 Td [(and)-345(sparse)-345(matrices)-344(ar)18(e)-345(de\002ned)-345(in)-345(the)-345(module)]TJ/F62 9.9626 Tf 213.323 0 Td [(psb_base_mod)]TJ/F57 9.9626 Tf 62.764 0 Td [(;)-392(this)-345(will)-345(have)]TJ -276.087 -11.955 Td [(to)-381(be)-381(included)-381(by)-381(every)-381(user)-381(subr)18(outine)-381(that)-381(makes)-381(u)1(se)-381(of)-381(the)-381(library)111(.)-703(The)]TJ 0 -11.956 Td [(pr)18(econditioners)-250(ar)18(e)-250(de\002ned)-250(in)-250(the)-250(module)]TJ/F62 9.9626 Tf 187.993 0 Td [(psb_prec_mod)]TJ/F57 9.9626 Tf -173.049 -12.156 Td [(Integer)74(,)-433(r)18(eal)-396(and)-397(complex)-396(data)-396(types)-397(ar)18(e)-396(parametrized)-396(with)-397(a)-396(kind)-396(type)]TJ -14.944 -11.955 Td 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[(declaration)-250(and)-250(is)-250(normally)-250(4)-250(bytes;)]TJ +/F57 9.9626 Tf 23.412 0 Td [(declaration)-250(and)-250(is)-250(normally)-250(4)-250(bytes;)]TJ 0 g 0 G -/F51 9.9626 Tf -101.22 -20.73 Td [(psb)]TJ +/F54 9.9626 Tf -101.22 -20.73 Td [(psb)]TJ ET q 1 0 0 1 117.091 533.635 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 120.08 533.436 Td [(dpk)]TJ +/F54 9.9626 Tf 120.08 533.436 Td [(dpk)]TJ ET q 1 0 0 1 138.939 533.635 cm @@ -5046,20 +5046,20 @@ q Q 0 g 0 G BT -/F54 9.9626 Tf 146.909 533.436 Td [(Kind)-420(parameter)-421(for)-420(long)-420(pr)18(ecision)-421(r)18(eal)-420(and)-420(complex)-421(data;)-505(corr)18(e-)]TJ -22.107 -11.955 Td [(sponds)-250(to)-250(a)]TJ +/F57 9.9626 Tf 146.909 533.436 Td [(Kind)-420(parameter)-421(for)-420(long)-420(pr)18(ecision)-421(r)18(eal)-420(and)-420(complex)-421(data;)-505(corr)18(e-)]TJ -22.107 -11.955 Td [(sponds)-250(to)-250(a)]TJ 0.56 0.13 0.00 rg 0.56 0.13 0.00 RG -/F59 9.9626 Tf 52.901 0 Td [(DOUBLE)-525(PRECISION)]TJ +/F62 9.9626 Tf 52.901 0 Td [(DOUBLE)-525(PRECISION)]TJ 0 g 0 G -/F54 9.9626 Tf 86.176 0 Td [(declaration)-250(and)-250(is)-250(normally)-250(8)-250(bytes;)]TJ +/F57 9.9626 Tf 86.176 0 Td [(declaration)-250(and)-250(is)-250(normally)-250(8)-250(bytes;)]TJ 0 g 0 G -/F51 9.9626 Tf -163.984 -20.73 Td [(psb)]TJ +/F54 9.9626 Tf -163.984 -20.73 Td [(psb)]TJ ET q 1 0 0 1 117.091 500.951 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 120.08 500.751 Td [(mpk)]TJ +/F54 9.9626 Tf 120.08 500.751 Td [(mpk)]TJ ET q 1 0 0 1 141.708 500.951 cm @@ -5067,16 +5067,16 @@ q Q 0 g 0 G BT -/F54 9.9626 Tf 149.678 500.751 Td [(Kind)-250(parameter)-250(for)-250(4-bytes)-250(integer)-250(data,)-250(as)-250(is)-250(always)-250(used)-250(by)-250(MPI;)]TJ +/F57 9.9626 Tf 149.678 500.751 Td [(Kind)-250(parameter)-250(for)-250(4-bytes)-250(integer)-250(data,)-250(as)-250(is)-250(always)-250(used)-250(by)-250(MPI;)]TJ 0 g 0 G -/F51 9.9626 Tf -49.783 -20.729 Td [(psb)]TJ +/F54 9.9626 Tf -49.783 -20.729 Td [(psb)]TJ ET q 1 0 0 1 117.091 480.221 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 120.08 480.022 Td [(epk)]TJ +/F54 9.9626 Tf 120.08 480.022 Td [(epk)]TJ ET q 1 0 0 1 137.833 480.221 cm @@ -5084,16 +5084,16 @@ q Q 0 g 0 G BT -/F54 9.9626 Tf 145.803 480.022 Td [(Kind)-364(parameter)-363(for)-364(8-bytes)-363(integer)-364(data,)-391(a)-1(s)-363(is)-364(always)-363(used)-364(by)-363(the)]TJ/F59 9.9626 Tf -21.001 -11.955 Td [(sizeof)]TJ/F54 9.9626 Tf 33.873 0 Td [(methods;)]TJ +/F57 9.9626 Tf 145.803 480.022 Td [(Kind)-364(parameter)-363(for)-364(8-bytes)-363(integer)-364(data,)-391(a)-1(s)-363(is)-364(always)-363(used)-364(by)-363(the)]TJ/F62 9.9626 Tf -21.001 -11.955 Td [(sizeof)]TJ/F57 9.9626 Tf 33.873 0 Td [(methods;)]TJ 0 g 0 G -/F51 9.9626 Tf -58.78 -20.73 Td [(psb)]TJ +/F54 9.9626 Tf -58.78 -20.73 Td [(psb)]TJ ET q 1 0 0 1 117.091 447.537 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 120.08 447.337 Td [(ipk)]TJ +/F54 9.9626 Tf 120.08 447.337 Td [(ipk)]TJ ET q 1 0 0 1 136.169 447.537 cm @@ -5101,16 +5101,16 @@ q Q 0 g 0 G BT -/F54 9.9626 Tf 144.139 447.337 Td [(Kind)-398(parameter)-399(for)-398(\223local\224)-398(integer)-399(indices)-398(and)-398(data;)-473(with)-398(default)]TJ -19.337 -11.955 Td [(build)-250(options)-250(this)-250(is)-250(a)-250(4)-250(bytes)-250(integer;)]TJ +/F57 9.9626 Tf 144.139 447.337 Td [(Kind)-398(parameter)-399(for)-398(\223local\224)-398(integer)-399(indices)-398(and)-398(data;)-473(with)-398(default)]TJ -19.337 -11.955 Td [(build)-250(options)-250(this)-250(is)-250(a)-250(4)-250(bytes)-250(integer;)]TJ 0 g 0 G -/F51 9.9626 Tf -24.907 -20.729 Td [(psb)]TJ +/F54 9.9626 Tf -24.907 -20.729 Td [(psb)]TJ ET q 1 0 0 1 117.091 414.852 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 120.08 414.653 Td [(lpk)]TJ +/F54 9.9626 Tf 120.08 414.653 Td [(lpk)]TJ ET q 1 0 0 1 136.169 414.852 cm @@ -5118,25 +5118,25 @@ q Q 0 g 0 G BT -/F54 9.9626 Tf 144.139 414.653 Td 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358.788 237.097 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 361.927 236.897 Td [(desc)]TJ +/F62 9.9626 Tf 361.927 236.897 Td [(desc)]TJ ET q 1 0 0 1 383.476 237.097 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 386.614 236.897 Td [(type)]TJ/F54 9.9626 Tf 20.921 0 Td [(.)-765(Every)]TJ -307.64 -11.955 Td [(str)8(uctur)18(e)-371(of)-370(this)-371(type)-370(is)-371(associated)-370(with)-371(a)-371(discr)18(etization)-370(pattern)-371(and)-370(enables)]TJ 0 -11.955 Td [(data)-301(communications)-302(and)-301(other)-301(operations)-302(that)-301(ar)18(e)-302(nece)1(ssa)-1(r)1(y)-302(for)-301(implement-)]TJ 0 -11.955 Td [(ing)-250(the)-250(various)-250(algorithms)-250(of)-250(inter)18(est)-250(to)-250(us.)]TJ 14.944 -12.156 Td [(The)-265(data)-266(str)8(uctur)18(e)-265(itself)]TJ/F59 9.9626 Tf 107.448 0 Td [(psb_desc_type)]TJ/F54 9.9626 Tf 70.638 0 Td [(can)-265(be)-266(tr)18(eated)-265(as)-265(an)-265(opaque)-266(object)]TJ -193.03 -11.955 Td 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[(type.)-303(This)-228(is)-229(a)-228(data)-229(str)8(uctur)18(e)-228(that)-229(keeps)]TJ -172.457 -11.955 Td [(track)-250(of)-250(a)-250(certain)-250(number)-250(of)-250(basic)-250(issues)-250(such)-250(as:)]TJ 0 g 0 G 13.888 -20.528 Td [(\225)]TJ 0 g 0 G @@ -5157,7 +5157,7 @@ stream 0 g 0 G 0 g 0 G BT -/F54 9.9626 Tf 164.593 706.129 Td [(\225)]TJ +/F57 9.9626 Tf 164.593 706.129 Td [(\225)]TJ 0 g 0 G [-500(The)-236(number)-236(of)-235(indices)-236(in)-236(the)-236(index)-236(space,)-238(i.e.)-306(global)-236(number)-235(of)-236(r)18(ows)-236(and)]TJ 11.018 -11.955 Td [(columns)-250(of)-250(a)-250(sparse)-250(matrix;)]TJ 0 g 0 G @@ -5165,17 +5165,17 @@ BT 0 g 0 G [-500(The)-250(local)-250(set)-250(of)-250(indices,)-250(including:)]TJ 0 g 0 G -/F51 9.9626 Tf 22.974 -20.408 Td [(\226)]TJ +/F54 9.9626 Tf 22.974 -20.408 Td [(\226)]TJ 0 g 0 G -/F54 9.9626 Tf 9.962 0 Td [(The)-250(number)-250(of)-250(local)-250(indices)-250(\050and)-250(local)-250(r)18(ows\051;)]TJ +/F57 9.9626 Tf 9.962 0 Td 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[(polymorphic)-212(object)-213(whose)-212(dynamic)-212(type)-213(can)-212(be)-212(any)-213(of)-212(the)-212(extended)-213(types.)-297(The)]TJ 0 -11.955 Td [(methods)-250(associated)-250(with)-250(this)-250(data)-250(type)-250(answer)-250(the)-250(following)-250(queries:)]TJ 0 g 0 G 13.888 -20.288 Td [(\225)]TJ 0 g 0 G @@ -5197,27 +5197,27 @@ BT 0 g 0 G [(\051.)]TJ 14.944 -12.076 Td [(The)-250(descriptor)-250(contents)-250(ar)18(e)-250(as)-250(follows:)]TJ 0 g 0 G -/F51 9.9626 Tf -14.944 -20.288 Td [(indxmap)]TJ +/F54 9.9626 Tf -14.944 -20.288 Td [(indxmap)]TJ 0 g 0 G -/F54 9.9626 Tf 45.38 0 Td [(A)-190(polymorphic)-190(variable)-190(of)-190(a)-190(type)-190(that)-190(is)-190(any)-190(extension)-190(of)-190(the)-190(indx)]TJ +/F57 9.9626 Tf 45.38 0 Td [(A)-190(polymorphic)-190(variable)-190(of)-190(a)-190(type)-190(that)-190(is)-190(any)-190(extension)-190(of)-190(the)-190(indx)]TJ ET q 1 0 0 1 478.491 370.98 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 481.48 370.78 Td [(map)]TJ -305.869 -11.955 Td [(type)-250(described)-250(above.)]TJ +/F57 9.9626 Tf 481.48 370.78 Td [(map)]TJ -305.869 -11.955 Td [(type)-250(described)-250(above.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.906 -32.363 Td [(halo)]TJ +/F54 9.9626 Tf -24.906 -32.363 Td [(halo)]TJ ET q 1 0 0 1 171.228 326.661 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 174.217 326.462 Td [(index)]TJ +/F54 9.9626 Tf 174.217 326.462 Td [(index)]TJ 0 g 0 G -/F54 9.9626 Tf 30.435 0 Td [(A)-331(list)-332(of)-331(the)-332(halo)-331(and)-332(boundary)-331(elements)-332(for)-331(the)-332(curr)18(ent)-331(pr)18(ocess)]TJ -29.041 -11.955 Td [(to)-247(be)-247(exchanged)-247(with)-246(other)-247(pr)18(ocesses;)-248(for)-247(each)-247(pr)18(ocesses)-247(with)-247(whic)1(h)-247(it)-247(is)]TJ 0 -11.956 Td [(necessary)-250(to)-250(communicate:)]TJ +/F57 9.9626 Tf 30.435 0 Td [(A)-331(list)-332(of)-331(the)-332(halo)-331(and)-332(boundary)-331(elements)-332(for)-331(the)-332(curr)18(ent)-331(pr)18(ocess)]TJ -29.041 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[(A)-216(list)-217(of)-216(element)-217(indices)-216(to)-217(be)-216(exchanged)-217(to)-216(implement)-217(the)-216(mapping)]TJ -22.396 -11.955 Td [(between)-250(a)-250(base)-250(descriptor)-250(and)-250(a)-250(descriptor)-250(with)-250(overlap.)]TJ 0 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(vector)-250(of)-250(integer)-250(type,)-250(see)]TJ 0 0 1 rg 0 0 1 RG [-250(3.3)]TJ 0 g 0 G [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.906 -20.408 Td [(ovrlap)]TJ +/F54 9.9626 Tf -24.906 -20.408 Td [(ovrlap)]TJ ET q 1 0 0 1 180.642 132.48 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 183.631 132.281 Td [(index)]TJ +/F54 9.9626 Tf 183.631 132.281 Td [(index)]TJ 0 g 0 G -/F54 9.9626 Tf 30.436 0 Td [(A)-259(list)-259(of)-258(the)-259(overlap)-259(elements)-259(for)-259(the)-258(curr)18(ent)-259(pr)18(ocess,)-261(or)18(ganized)]TJ -38.456 -11.955 Td [(in)-250(gr)18(oups)-250(like)-250(the)-250(pr)18(evious)-250(vector:)]TJ +/F57 9.9626 Tf 30.436 0 Td 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[(A)-331(list)-332(to)-331(r)18(etrieve)-331(the)-332(value)-331(of)-331(each)-332(overlap)-331(element)-331(fr)18(om)-332(the)-331(r)18(e-)]TJ -33.185 -11.956 Td [(spective)-250(master)-250(pr)18(ocess.)]TJ 0 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(vector)-250(of)-250(integer)-250(type,)-250(see)]TJ +/F57 9.9626 Tf 19.367 0 Td [(A)-331(list)-332(to)-331(r)18(etrieve)-331(the)-332(value)-331(of)-331(each)-332(overlap)-331(element)-331(fr)18(om)-332(the)-331(r)18(e-)]TJ -33.185 -11.956 Td [(spective)-250(master)-250(pr)18(ocess.)]TJ 0 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(vector)-250(of)-250(integer)-250(type,)-250(see)]TJ 0 0 1 rg 0 0 1 RG [-250(3.3)]TJ 0 g 0 G [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.907 -21.431 Td [(ovrlap)]TJ +/F54 9.9626 Tf -24.907 -21.431 Td [(ovrlap)]TJ ET q 1 0 0 1 129.833 551.351 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 132.822 551.152 Td [(elem)]TJ +/F54 9.9626 Tf 132.822 551.152 Td [(elem)]TJ 0 g 0 G -/F54 9.9626 Tf 27.118 0 Td [(For)-250(all)-250(overlap)-250(points)-250(belonging)-250(to)-250(th)-250(ecurr)18(ent)-250(pr)18(ocess:)]TJ +/F57 9.9626 Tf 27.118 0 Td [(For)-250(all)-250(overlap)-250(points)-250(belonging)-250(to)-250(th)-250(ecurr)18(ent)-250(pr)18(ocess:)]TJ 0 g 0 G -25.673 -21.431 Td [(1.)]TJ 0 g 0 G @@ -5353,16 +5353,16 @@ BT 0 g 0 G [-500(Index)-250(of)-250(a)-250(\223master)-74(\224)-250(pr)18(ocess:)]TJ -9.465 -21.431 Td [(Speci\002ed)-250(as:)-310(an)-250(allocatable)-250(integer)-250(array)-250(of)-250(rank)-250(two.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.907 -21.431 Td [(bnd)]TJ +/F54 9.9626 Tf -24.907 -21.431 Td [(bnd)]TJ ET q 1 0 0 1 118.755 453.671 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 121.743 453.472 Td [(elem)]TJ +/F54 9.9626 Tf 121.743 453.472 Td [(elem)]TJ 0 g 0 G -/F54 9.9626 Tf 27.119 0 Td [(A)-235(list)-235(of)-235(all)-235(boundary)-235(points,)-238(i.e.)-305(points)-235(that)-235(have)-235(a)-235(connection)-235(with)]TJ -24.06 -11.955 Td 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+5450,15 @@ BT 0.95 0.95 0.95 rg 0.95 0.95 0.95 RG 0 g 0 G 0 g 0 G -/F54 9.9626 Tf -2.989 -41.43 Td [(Listing)-259(1:)-327(The)-259(PSBLAS)-259(de\002ned)-259(data)-258(type)-259(that)-259(contains)-259(the)-258(communication)-259(de-)]TJ 0 -11.955 Td [(scriptor)74(.)]TJ 0 -25.259 Td [(communication)-319(descriptor)-320(associated)-319(with)-319(a)-320(sparse)-319(matrix)-320(has)-319(a)-319(state,)-337(which)]TJ 0 -11.955 Td [(can)-250(take)-250(the)-250(following)-250(values:)]TJ +/F57 9.9626 Tf -2.989 -41.43 Td [(Listing)-259(1:)-327(The)-259(PSBLAS)-259(de\002ned)-259(data)-258(type)-259(that)-259(contains)-259(the)-258(communication)-259(de-)]TJ 0 -11.955 Td [(scriptor)74(.)]TJ 0 -25.259 Td [(communication)-319(descriptor)-320(associated)-319(with)-319(a)-320(sparse)-319(matrix)-320(has)-319(a)-319(state,)-337(which)]TJ 0 -11.955 Td [(can)-250(take)-250(the)-250(following)-250(values:)]TJ 0 g 0 G -/F51 9.9626 Tf 0 -21.054 Td [(Build:)]TJ +/F54 9.9626 Tf 0 -21.054 Td [(Build:)]TJ 0 g 0 G -/F54 9.9626 Tf 32.927 0 Td [(State)-283(enter)18(ed)-283(after)-283(the)-283(\002rst)-284(allocation,)-291(and)-283(befor)18(e)-283(the)-283(\002rst)-283(assembly;)-300(in)]TJ -8.02 -11.956 Td [(this)-220(state)-220(it)-220(is)-220(possible)-220(to)-220(add)-220(communication)-220(r)18(equir)18(ements)-220(among)-220(dif)18(fer)18(-)]TJ 0 -11.955 Td [(ent)-250(pr)18(ocesses.)]TJ +/F57 9.9626 Tf 32.927 0 Td [(State)-283(enter)18(ed)-283(after)-283(the)-283(\002rst)-284(allocation,)-291(and)-283(befor)18(e)-283(the)-283(\002rst)-283(assembly;)-300(in)]TJ -8.02 -11.956 Td [(this)-220(state)-220(it)-220(is)-220(possible)-220(to)-220(add)-220(communication)-220(r)18(equir)18(ements)-220(among)-220(dif)18(fer)18(-)]TJ 0 -11.955 Td [(ent)-250(pr)18(ocesses.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.907 -21.431 Td [(Assembled:)]TJ +/F54 9.9626 Tf -24.907 -21.431 Td [(Assembled:)]TJ 0 g 0 G -/F54 9.9626 Tf 58.381 0 Td [(State)-308(enter)18(ed)-308(after)-308(the)-309(assembly;)-337(computations)-308(using)-308(the)-308(associ-)]TJ -33.474 -11.955 Td [(ated)-310(sparse)-310(matrix,)-325(such)-310(as)-310(matrix-vector)-309(pr)18(oducts,)-325(ar)18(e)-310(only)-310(possible)-310(in)]TJ 0 -11.955 Td [(this)-250(state.)]TJ +/F57 9.9626 Tf 58.381 0 Td [(State)-308(enter)18(ed)-308(after)-308(the)-309(assembly;)-337(computations)-308(using)-308(the)-308(associ-)]TJ -33.474 -11.955 Td [(ated)-310(sparse)-310(matrix,)-325(such)-310(as)-310(matrix-vector)-309(pr)18(oducts,)-325(ar)18(e)-310(only)-310(possible)-310(in)]TJ 0 -11.955 Td [(this)-250(state.)]TJ 0 g 0 G 141.968 -29.888 Td [(11)]TJ 0 g 0 G @@ -5474,120 +5474,120 @@ stream 0 g 0 G 0 g 0 G BT -/F51 9.9626 Tf 150.705 706.129 Td [(3.1.1)-1000(Descriptor)-250(Methods)]TJ 0 -19 Td [(3.1.2)-1000(get)]TJ +/F54 9.9626 Tf 150.705 706.129 Td [(3.1.1)-1000(Descriptor)-250(Methods)]TJ 0 -19 Td [(3.1.2)-1000(get)]TJ ET q 1 0 0 1 195.029 687.328 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 198.017 687.129 Td [(local)]TJ +/F54 9.9626 Tf 198.017 687.129 Td [(local)]TJ ET q 1 0 0 1 220.194 687.328 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 223.183 687.129 Td [(rows)-250(\227)-250(Get)-250(number)-250(of)-250(local)-250(rows)]TJ +/F54 9.9626 Tf 223.183 687.129 Td [(rows)-250(\227)-250(Get)-250(number)-250(of)-250(local)-250(rows)]TJ 0 g 0 G 0 g 0 G -/F59 9.9626 Tf -72.478 -19 Td [(nr)-525(=)-525(desc%get_local_rows\050\051)]TJ +/F62 9.9626 Tf -72.478 -19 Td [(nr)-525(=)-525(desc%get_local_rows\050\051)]TJ 0 g 0 G -/F51 9.9626 Tf 0 -21.974 Td [(T)90(ype:)]TJ +/F54 9.9626 Tf 0 -21.974 Td [(T)90(ype:)]TJ 0 g 0 G -/F54 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ +/F57 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ 0 g 0 G -/F51 9.9626 Tf -29.828 -20.001 Td [(On)-250(Entry)]TJ +/F54 9.9626 Tf -29.828 -20.001 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -20 Td [(desc)]TJ 0 g 0 G -/F54 9.9626 Tf 24.896 0 Td [(the)-250(communication)-250(descriptor)74(.)]TJ 0.011 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.431 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ +/F57 9.9626 Tf 24.896 0 Td [(the)-250(communication)-250(descriptor)74(.)]TJ 0.011 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.431 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -77.917 -33.929 Td [(On)-250(Return)]TJ +/F54 9.9626 Tf -77.917 -33.929 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -20 Td [(Function)-250(value)]TJ 0 g 0 G -/F54 9.9626 Tf 72.777 0 Td [(The)-399(number)-398(of)-399(local)-398(r)18(ows,)-436(i.e.)-756(the)-398(number)-399(of)-399(r)18(ows)-398(owned)]TJ -47.87 -11.956 Td [(by)-350(the)-349(curr)18(ent)-350(pr)18(ocess;)-399(as)-350(explained)-350(in)]TJ +/F57 9.9626 Tf 72.777 0 Td [(The)-399(number)-398(of)-399(local)-398(r)18(ows,)-436(i.e.)-756(the)-398(number)-399(of)-399(r)18(ows)-398(owned)]TJ -47.87 -11.956 Td 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3.004 0 Td [(.)-413(The)-285(r)18(eturned)-284(value)-285(is)-284(speci\002c)-285(to)-284(the)]TJ -153.464 -11.955 Td [(calling)-250(pr)18(ocess.)]TJ/F51 9.9626 Tf -24.907 -27.247 Td [(3.1.4)-1000(get)]TJ + [(,)-294(i)1(t)-285(is)-284(equal)-285(to)]TJ/F86 10.3811 Tf 79.58 0 Td [(j)-24(I)]TJ/F55 7.5716 Tf 8.943 -1.96 Td [(i)]TJ/F86 10.3811 Tf 2.875 1.96 Td [(j)]TJ/F88 10.3811 Tf 5.193 0 Td [(+)]TJ/F86 10.3811 Tf 10.383 0 Td [(j)-24(B)]TJ/F55 7.5716 Tf 10.109 -1.96 Td [(i)]TJ/F86 10.3811 Tf 2.875 1.96 Td [(j)]TJ/F88 10.3811 Tf 5.192 0 Td [(+)]TJ/F86 10.3811 Tf 10.383 0 Td [(j)-24(H)]TJ/F55 7.5716 Tf 12.052 -1.96 Td [(i)]TJ/F86 10.3811 Tf 2.875 1.96 Td [(j)]TJ/F57 9.9626 Tf 3.004 0 Td [(.)-413(The)-285(r)18(eturned)-284(value)-285(is)-284(speci\002c)-285(to)-284(the)]TJ -153.464 -11.955 Td [(calling)-250(pr)18(ocess.)]TJ/F54 9.9626 Tf -24.907 -27.247 Td [(3.1.4)-1000(get)]TJ ET q 1 0 0 1 195.029 279.339 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 198.017 279.14 Td [(global)]TJ +/F54 9.9626 Tf 198.017 279.14 Td [(global)]TJ ET q 1 0 0 1 227.397 279.339 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 230.386 279.14 Td [(rows)-250(\227)-250(Get)-250(number)-250(of)-250(global)-250(rows)]TJ +/F54 9.9626 Tf 230.386 279.14 Td [(rows)-250(\227)-250(Get)-250(number)-250(of)-250(global)-250(rows)]TJ 0 g 0 G 0 g 0 G -/F59 9.9626 Tf -79.681 -19 Td [(nr)-525(=)-525(desc%get_global_rows\050\051)]TJ +/F62 9.9626 Tf -79.681 -19 Td [(nr)-525(=)-525(desc%get_global_rows\050\051)]TJ 0 g 0 G -/F51 9.9626 Tf 0 -21.974 Td [(T)90(ype:)]TJ +/F54 9.9626 Tf 0 -21.974 Td [(T)90(ype:)]TJ 0 g 0 G -/F54 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ +/F57 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ 0 g 0 G -/F51 9.9626 Tf -29.828 -20 Td [(On)-250(Entry)]TJ +/F54 9.9626 Tf -29.828 -20 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -20.001 Td [(desc)]TJ 0 g 0 G -/F54 9.9626 Tf 24.896 0 Td [(the)-250(communication)-250(descriptor)74(.)]TJ 0.011 -11.955 Td 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0 g 0 G 0 -19.947 Td [(desc)]TJ 0 g 0 G -/F54 9.9626 Tf 24.897 0 Td [(the)-250(communication)-250(descriptor)74(.)]TJ 0.01 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ +/F57 9.9626 Tf 24.897 0 Td [(the)-250(communication)-250(descriptor)74(.)]TJ 0.01 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -77.918 -33.889 Td [(On)-250(Return)]TJ +/F54 9.9626 Tf -77.918 -33.889 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -19.947 Td [(Function)-250(value)]TJ 0 g 0 G -/F54 9.9626 Tf 72.777 0 Td [(The)-242(number)-242(of)-241(global)-242(cols;)-245(usually)-241(this)-242(is)-242(equal)-242(to)-241(the)-242(number)]TJ -47.87 -11.955 Td [(of)-250(global)-250(r)18(ows.)]TJ/F51 9.9626 Tf -24.907 -27.172 Td [(3.1.6)-1000(get)]TJ +/F57 9.9626 Tf 72.777 0 Td [(The)-242(number)-242(of)-241(global)-242(cols;)-245(usually)-241(this)-242(is)-242(equal)-242(to)-241(the)-242(number)]TJ -47.87 -11.955 Td [(of)-250(global)-250(r)18(ows.)]TJ/F54 9.9626 Tf -24.907 -27.172 Td [(3.1.6)-1000(get)]TJ ET q 1 0 0 1 144.219 520.607 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 147.208 520.408 Td [(global)]TJ +/F54 9.9626 Tf 147.208 520.408 Td [(global)]TJ ET q 1 0 0 1 176.587 520.607 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 179.576 520.408 Td [(indices)-250(\227)-250(Get)-250(vector)-250(of)-250(global)-250(indices)]TJ +/F54 9.9626 Tf 179.576 520.408 Td [(indices)-250(\227)-250(Get)-250(vector)-250(of)-250(global)-250(indices)]TJ 0 g 0 G 0 g 0 G -/F59 9.9626 Tf -79.681 -18.974 Td [(myidx)-525(=)-525(desc%get_global_indices\050[owned]\051)]TJ +/F62 9.9626 Tf -79.681 -18.974 Td [(myidx)-525(=)-525(desc%get_global_indices\050[owned]\051)]TJ 0 g 0 G -/F51 9.9626 Tf 0 -21.934 Td [(T)90(ype:)]TJ +/F54 9.9626 Tf 0 -21.934 Td [(T)90(ype:)]TJ 0 g 0 G -/F54 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ +/F57 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ 0 g 0 G 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+/F57 9.9626 Tf 35.975 0 Td [(Choose)-330(if)-329(you)-330(only)-329(want)-330(owned)-330(indices)-329(\050)]TJ/F62 9.9626 Tf 185.766 0 Td [(owned)]TJ 0.40 0.40 0.40 rg 0.40 0.40 0.40 RG [(=)]TJ 0 g 0 G - [(.true.)]TJ/F54 9.9626 Tf 62.764 0 Td [(\051)-330(or)-329(also)-330(halo)]TJ -259.598 -11.955 Td [(indices)-250(\050)]TJ/F59 9.9626 Tf 36.911 0 Td [(owned)]TJ + [(.true.)]TJ/F57 9.9626 Tf 62.764 0 Td [(\051)-330(or)-329(also)-330(halo)]TJ -259.598 -11.955 Td [(indices)-250(\050)]TJ/F62 9.9626 Tf 36.911 0 Td [(owned)]TJ 0.40 0.40 0.40 rg 0.40 0.40 0.40 RG [(=)]TJ 0 g 0 G - [(.false.)]TJ/F54 9.9626 Tf 67.995 0 Td [(\051.)-310(Scope:)]TJ/F51 9.9626 Tf 40.328 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -166.813 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(optional)]TJ/F54 9.9626 Tf 38.187 0 Td [(;)-250(default:)]TJ/F59 9.9626 Tf 41.872 0 Td [(.true.)]TJ/F54 9.9626 Tf 31.382 0 Td [(.)]TJ + [(.false.)]TJ/F57 9.9626 Tf 67.995 0 Td [(\051.)-310(Scope:)]TJ/F54 9.9626 Tf 40.328 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ -166.813 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(optional)]TJ/F57 9.9626 Tf 38.187 0 Td [(;)-250(default:)]TJ/F62 9.9626 Tf 41.872 0 Td [(.true.)]TJ/F57 9.9626 Tf 31.382 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -163.436 -33.89 Td [(On)-250(Return)]TJ +/F54 9.9626 Tf -163.436 -33.89 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -19.947 Td [(Function)-250(value)]TJ 0 g 0 G -/F54 9.9626 Tf 72.777 0 Td [(The)-277(global)-277(indices,)-284(r)18(eturned)-277(as)-277(an)-277(allocatable)-277(integer)-277(array)-277(of)]TJ -47.87 -11.955 Td [(kind)]TJ/F59 9.9626 Tf 22.814 0 Td [(psb_lpk_)]TJ/F54 9.9626 Tf 44.334 0 Td [(and)-250(rank)-250(1.)]TJ/F51 9.9626 Tf -92.055 -27.171 Td [(3.1.7)-1000(get)]TJ +/F57 9.9626 Tf 72.777 0 Td [(The)-277(global)-277(indices,)-284(r)18(eturned)-277(as)-277(an)-277(allocatable)-277(integer)-277(array)-277(of)]TJ -47.87 -11.955 Td [(kind)]TJ/F62 9.9626 Tf 22.814 0 Td [(psb_lpk_)]TJ/F57 9.9626 Tf 44.334 0 Td [(and)-250(rank)-250(1.)]TJ/F54 9.9626 Tf -92.055 -27.171 Td [(3.1.7)-1000(get)]TJ ET q 1 0 0 1 144.219 267.119 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 147.208 266.92 Td [(context)-250(\227)-250(Get)-250(communication)-250(context)]TJ +/F54 9.9626 Tf 147.208 266.92 Td [(context)-250(\227)-250(Get)-250(communication)-250(context)]TJ 0 g 0 G 0 g 0 G -/F59 9.9626 Tf -47.313 -18.975 Td [(ctxt)-525(=)-525(desc%get_context\050\051)]TJ +/F62 9.9626 Tf -47.313 -18.975 Td [(ctxt)-525(=)-525(desc%get_context\050\051)]TJ 0 g 0 G -/F51 9.9626 Tf 0 -21.934 Td [(T)90(ype:)]TJ +/F54 9.9626 Tf 0 -21.934 Td [(T)90(ype:)]TJ 0 g 0 G -/F54 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ +/F57 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ 0 g 0 G -/F51 9.9626 Tf -29.828 -19.947 Td [(On)-250(Entry)]TJ +/F54 9.9626 Tf -29.828 -19.947 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -19.947 Td [(desc)]TJ 0 g 0 G -/F54 9.9626 Tf 24.897 0 Td 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[(call)-525(desc%set_p_adjcncy\050list\051)]TJ +/F62 9.9626 Tf -60.852 -18.964 Td [(call)-525(desc%set_p_adjcncy\050list\051)]TJ 0 g 0 G -/F51 9.9626 Tf 0 -20.813 Td [(T)90(ype:)]TJ +/F54 9.9626 Tf 0 -20.813 Td [(T)90(ype:)]TJ 0 g 0 G -/F54 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ +/F57 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ 0 g 0 G -/F51 9.9626 Tf -29.828 -19.483 Td [(On)-250(Entry)]TJ +/F54 9.9626 Tf -29.828 -19.483 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -19.483 Td [(list)]TJ 0 g 0 G -/F54 9.9626 Tf 19.358 0 Td [(the)-250(list)-250(of)-250(adjacent)-250(pr)18(ocesses.)]TJ 5.549 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -53.011 -11.956 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf 39.292 0 Td [(.)]TJ -66.38 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(one-dimensional)-250(array)-250(of)-250(integers)-250(of)-250(kind)]TJ/F59 9.9626 Tf 250.209 0 Td [(psb_ipk_)]TJ/F54 9.9626 Tf 41.843 0 Td [(.)]TJ -316.959 -20.813 Td [(Note:)-596(this)-392(method)-393(can)-393(be)-393(called)-393(after)-392(a)-393(call)-393(to)]TJ/F59 9.9626 Tf 216.367 0 Td [(psb_cdall)]TJ/F54 9.9626 Tf 50.987 0 Td [(and)-393(befor)18(e)-393(a)-392(call)]TJ -267.354 -11.955 Td [(to)]TJ/F59 9.9626 Tf 11.711 0 Td [(psb_cdasb)]TJ/F54 9.9626 Tf 47.073 0 Td [(.)-470(The)-304(user)-303(is)-304(specifying)-303(her)18(e)-304(some)-303(knowledge)-304(about)-303(which)-304(pr)18(o-)]TJ -58.784 -11.955 Td [(cesses)-208(ar)18(e)-208(topol)1(ogical)-208(neighbours)-208(of)-208(the)-207(curr)18(ent)-208(pr)18(ocess.)-296(The)-208(availability)-207(of)-208(this)]TJ 0 -11.955 Td [(information)-250(may)-250(speed)-250(up)-250(the)-250(execution)-250(of)-250(the)-250(assembly)-250(call)]TJ/F59 9.9626 Tf 269.656 0 Td [(psb_cdasb)]TJ/F54 9.9626 Tf 47.073 0 Td [(.)]TJ/F51 9.9626 Tf -316.729 -26.934 Td [(3.1.14)-1000(fnd)]TJ +/F57 9.9626 Tf 19.358 0 Td [(the)-250(list)-250(of)-250(adjacent)-250(pr)18(ocesses.)]TJ 5.549 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ -53.011 -11.956 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf 39.292 0 Td [(.)]TJ -66.38 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(one-dimensional)-250(array)-250(of)-250(integers)-250(of)-250(kind)]TJ/F62 9.9626 Tf 250.209 0 Td [(psb_ipk_)]TJ/F57 9.9626 Tf 41.843 0 Td [(.)]TJ -316.959 -20.813 Td [(Note:)-596(this)-392(method)-393(can)-393(be)-393(called)-393(after)-392(a)-393(call)-393(to)]TJ/F62 9.9626 Tf 216.367 0 Td [(psb_cdall)]TJ/F57 9.9626 Tf 50.987 0 Td [(and)-393(befor)18(e)-393(a)-392(call)]TJ -267.354 -11.955 Td [(to)]TJ/F62 9.9626 Tf 11.711 0 Td [(psb_cdasb)]TJ/F57 9.9626 Tf 47.073 0 Td [(.)-470(The)-304(user)-303(is)-304(specifying)-303(her)18(e)-304(some)-303(knowledge)-304(about)-303(which)-304(pr)18(o-)]TJ -58.784 -11.955 Td [(cesses)-208(ar)18(e)-208(topol)1(ogical)-208(neighbours)-208(of)-208(the)-207(curr)18(ent)-208(pr)18(ocess.)-296(The)-208(availability)-207(of)-208(this)]TJ 0 -11.955 Td [(information)-250(may)-250(speed)-250(up)-250(the)-250(execution)-250(of)-250(the)-250(assembly)-250(call)]TJ/F62 9.9626 Tf 269.656 0 Td [(psb_cdasb)]TJ/F57 9.9626 Tf 47.073 0 Td [(.)]TJ/F54 9.9626 Tf -316.729 -26.934 Td [(3.1.14)-1000(fnd)]TJ ET q 1 0 0 1 151.412 247.089 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 154.401 246.89 Td [(owner)-250(\227)-250(Find)-250(the)-250(owner)-250(process)-250(of)-250(a)-250(set)-250(of)-250(indices)]TJ +/F54 9.9626 Tf 154.401 246.89 Td [(owner)-250(\227)-250(Find)-250(the)-250(owner)-250(process)-250(of)-250(a)-250(set)-250(of)-250(indices)]TJ 0 g 0 G 0 g 0 G -/F59 9.9626 Tf -54.506 -18.964 Td [(call)-525(desc%fnd_owner\050idx,iprc,info\051)]TJ +/F62 9.9626 Tf -54.506 -18.964 Td [(call)-525(desc%fnd_owner\050idx,iprc,info\051)]TJ 0 g 0 G -/F51 9.9626 Tf 0 -20.813 Td [(T)90(ype:)]TJ +/F54 9.9626 Tf 0 -20.813 Td [(T)90(ype:)]TJ 0 g 0 G -/F54 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ +/F57 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ 0 g 0 G -/F51 9.9626 Tf -29.828 -19.483 Td [(On)-250(Entry)]TJ +/F54 9.9626 Tf -29.828 -19.483 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -19.484 Td [(idx)]TJ 0 g 0 G -/F54 9.9626 Tf 19.368 0 Td [(the)-250(list)-250(of)-250(global)-250(indices)-250(for)-250(which)-250(we)-250(need)-250(the)-250(owning)-250(pr)18(ocesses.)]TJ 5.539 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -53.011 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf 39.292 0 Td [(.)]TJ -66.38 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(one-dimensional)-250(array)-250(of)-250(integers)-250(of)-250(kind)]TJ/F59 9.9626 Tf 250.209 0 Td [(psb_lpk_)]TJ/F54 9.9626 Tf 41.843 0 Td [(.)]TJ +/F57 9.9626 Tf 19.368 0 Td [(the)-250(list)-250(of)-250(global)-250(indices)-250(for)-250(which)-250(we)-250(need)-250(the)-250(owning)-250(pr)18(ocesses.)]TJ 5.539 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ -53.011 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf 39.292 0 Td [(.)]TJ -66.38 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(one-dimensional)-250(array)-250(of)-250(integers)-250(of)-250(kind)]TJ/F62 9.9626 Tf 250.209 0 Td [(psb_lpk_)]TJ/F57 9.9626 Tf 41.843 0 Td [(.)]TJ 0 g 0 G -150.084 -29.888 Td [(15)]TJ 0 g 0 G @@ -6529,12 +6529,12 @@ stream 0 g 0 G 0 g 0 G BT -/F51 9.9626 Tf 150.705 706.129 Td [(On)-250(Return)]TJ +/F54 9.9626 Tf 150.705 706.129 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -21.934 Td [(iprc)]TJ 0 g 0 G -/F54 9.9626 Tf 22.685 0 Td [(the)-250(list)-250(of)-250(pr)18(ocesses)-250(owning)-250(the)-250(indices)-250(in)]TJ/F59 9.9626 Tf 184.993 0 Td [(idx)]TJ/F54 9.9626 Tf 15.691 0 Td [(.)]TJ -198.463 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -53.011 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(required)]TJ/F54 9.9626 Tf 39.292 0 Td [(.)]TJ -66.381 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(in)]TJ/F54 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-408(as:)-627(an)-408(allocatable)-408(one-dimensional)-408(array)-409(of)-408(integers)-408(of)-408(kind)]TJ/F59 9.9626 Tf 0 -11.955 Td [(psb_ipk_)]TJ/F54 9.9626 Tf 41.843 0 Td [(.)]TJ -66.749 -23.926 Td [(Note:)-349(this)-269(method)-269(may)-270(or)-269(may)-269(not)-269(actually)-270(r)18(equir)18(e)-269(communications,)-274(depend-)]TJ 0 -11.956 Td [(ing)-283(on)-283(the)-283(ex)1(a)-1(c)1(t)-283(internal)-283(data)-283(storage;)-299(given)-283(that)-283(the)-283(choice)-283(of)-282(storage)-283(may)-283(be)]TJ 0 -11.955 Td [(alter)18(ed)-376(by)-375(r)8(untime)-376(parameters,)-407(it)-376(is)-375(necessary)-376(for)-376(safety)-375(that)-376(this)-375(method)-376(is)]TJ 0 -11.955 Td [(called)-250(by)-250(all)-250(pr)18(ocesses.)]TJ/F51 9.9626 Tf 0 -29.998 Td [(3.1.15)-1000(Named)-250(Constants)]TJ +/F57 9.9626 Tf 22.685 0 Td [(the)-250(list)-250(of)-250(pr)18(ocesses)-250(owning)-250(the)-250(indices)-250(in)]TJ/F62 9.9626 Tf 184.993 0 Td [(idx)]TJ/F57 9.9626 Tf 15.691 0 Td [(.)]TJ -198.463 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ -53.011 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.089 0 Td [(required)]TJ/F57 9.9626 Tf 39.292 0 Td [(.)]TJ -66.381 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(in)]TJ/F57 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-408(as:)-627(an)-408(allocatable)-408(one-dimensional)-408(array)-409(of)-408(integers)-408(of)-408(kind)]TJ/F62 9.9626 Tf 0 -11.955 Td [(psb_ipk_)]TJ/F57 9.9626 Tf 41.843 0 Td [(.)]TJ -66.749 -23.926 Td [(Note:)-349(this)-269(method)-269(may)-270(or)-269(may)-269(not)-269(actually)-270(r)18(equir)18(e)-269(communications,)-274(depend-)]TJ 0 -11.956 Td [(ing)-283(on)-283(the)-283(ex)1(a)-1(c)1(t)-283(internal)-283(data)-283(storage;)-299(given)-283(that)-283(the)-283(choice)-283(of)-282(storage)-283(may)-283(be)]TJ 0 -11.955 Td [(alter)18(ed)-376(by)-375(r)8(untime)-376(parameters,)-407(it)-376(is)-375(necessary)-376(for)-376(safety)-375(that)-376(this)-375(method)-376(is)]TJ 0 -11.955 Td [(called)-250(by)-250(all)-250(pr)18(ocesses.)]TJ/F54 9.9626 Tf 0 -29.998 Td [(3.1.15)-1000(Named)-250(Constants)]TJ 0 g 0 G 0 -19.937 Td [(psb)]TJ ET @@ -6543,7 +6543,7 @@ q []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 170.889 514.692 Td [(none)]TJ +/F54 9.9626 Tf 170.889 514.692 Td [(none)]TJ ET q 1 0 0 1 194.182 514.891 cm @@ -6551,16 +6551,16 @@ q Q 0 g 0 G BT -/F54 9.9626 Tf 202.152 514.692 Td [(Generic)-250(no-op;)]TJ +/F57 9.9626 Tf 202.152 514.692 Td [(Generic)-250(no-op;)]TJ 0 g 0 G -/F51 9.9626 Tf -51.447 -21.934 Td [(psb)]TJ +/F54 9.9626 Tf -51.447 -21.934 Td [(psb)]TJ ET q 1 0 0 1 167.9 492.957 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 170.889 492.758 Td [(root)]TJ +/F54 9.9626 Tf 170.889 492.758 Td [(root)]TJ ET q 1 0 0 1 189.758 492.957 cm @@ -6568,16 +6568,16 @@ q Q 0 g 0 G BT -/F54 9.9626 Tf 197.728 492.758 Td [(Default)-250(r)18(oot)-250(pr)18(ocess)-250(for)-250(br)18(oadcast)-250(and)-250(scatter)-250(operations;)]TJ +/F57 9.9626 Tf 197.728 492.758 Td [(Default)-250(r)18(oot)-250(pr)18(ocess)-250(for)-250(br)18(oadcast)-250(and)-250(scatter)-250(operations;)]TJ 0 g 0 G -/F51 9.9626 Tf -47.023 -21.934 Td [(psb)]TJ +/F54 9.9626 Tf -47.023 -21.934 Td [(psb)]TJ ET q 1 0 0 1 167.9 471.023 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 170.889 470.824 Td [(nohalo)]TJ +/F54 9.9626 Tf 170.889 470.824 Td [(nohalo)]TJ ET q 1 0 0 1 203.038 471.023 cm @@ -6585,16 +6585,16 @@ q Q 0 g 0 G BT -/F54 9.9626 Tf 211.008 470.824 Td [(Do)-250(not)-250(fetch)-250(halo)-250(elements;)]TJ +/F57 9.9626 Tf 211.008 470.824 Td [(Do)-250(not)-250(fetch)-250(halo)-250(elements;)]TJ 0 g 0 G -/F51 9.9626 Tf -60.303 -21.934 Td [(psb)]TJ +/F54 9.9626 Tf -60.303 -21.934 Td [(psb)]TJ ET q 1 0 0 1 167.9 449.089 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 170.889 448.89 Td [(halo)]TJ +/F54 9.9626 Tf 170.889 448.89 Td [(halo)]TJ ET q 1 0 0 1 191.412 449.089 cm @@ -6602,16 +6602,16 @@ q Q 0 g 0 G BT -/F54 9.9626 Tf 199.382 448.89 Td [(Fetch)-250(halo)-250(elements)-250(fr)18(om)-250(neighbouring)-250(pr)18(ocesses;)]TJ +/F57 9.9626 Tf 199.382 448.89 Td [(Fetch)-250(halo)-250(elements)-250(fr)18(om)-250(neighbouring)-250(pr)18(ocesses;)]TJ 0 g 0 G -/F51 9.9626 Tf -48.677 -21.934 Td [(psb)]TJ +/F54 9.9626 Tf -48.677 -21.934 Td [(psb)]TJ ET q 1 0 0 1 167.9 427.155 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 170.889 426.956 Td [(sum)]TJ +/F54 9.9626 Tf 170.889 426.956 Td [(sum)]TJ ET q 1 0 0 1 190.854 427.155 cm @@ -6619,16 +6619,16 @@ q Q 0 g 0 G BT -/F54 9.9626 Tf 198.824 426.956 Td [(Sum)-250(overlapped)-250(elements)]TJ +/F57 9.9626 Tf 198.824 426.956 Td [(Sum)-250(overlapped)-250(elements)]TJ 0 g 0 G -/F51 9.9626 Tf -48.119 -21.934 Td [(psb)]TJ +/F54 9.9626 Tf -48.119 -21.934 Td [(psb)]TJ ET q 1 0 0 1 167.9 405.221 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 170.889 405.022 Td [(avg)]TJ +/F54 9.9626 Tf 170.889 405.022 Td [(avg)]TJ ET q 1 0 0 1 187.546 405.221 cm @@ -6636,23 +6636,23 @@ q Q 0 g 0 G BT -/F54 9.9626 Tf 195.517 405.022 Td [(A)92(verage)-250(overlapped)-250(elements)]TJ +/F57 9.9626 Tf 195.517 405.022 Td [(A)92(verage)-250(overlapped)-250(elements)]TJ 0 g 0 G -/F51 9.9626 Tf -44.812 -21.934 Td [(psb)]TJ +/F54 9.9626 Tf -44.812 -21.934 Td [(psb)]TJ ET q 1 0 0 1 167.9 383.288 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 170.889 383.088 Td [(comm)]TJ +/F54 9.9626 Tf 170.889 383.088 Td [(comm)]TJ ET q 1 0 0 1 199.163 383.288 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 202.152 383.088 Td [(halo)]TJ +/F54 9.9626 Tf 202.152 383.088 Td [(halo)]TJ ET q 1 0 0 1 222.674 383.288 cm @@ -6660,23 +6660,23 @@ q Q 0 g 0 G BT -/F54 9.9626 Tf 230.645 383.088 Td [(Exchange)-250(data)-250(based)-250(on)-250(the)]TJ/F59 9.9626 Tf 124.92 0 Td [(halo_index)]TJ/F54 9.9626 Tf 54.794 0 Td [(list;)]TJ +/F57 9.9626 Tf 230.645 383.088 Td [(Exchange)-250(data)-250(based)-250(on)-250(the)]TJ/F62 9.9626 Tf 124.92 0 Td [(halo_index)]TJ/F57 9.9626 Tf 54.794 0 Td [(list;)]TJ 0 g 0 G -/F51 9.9626 Tf -259.654 -21.934 Td [(psb)]TJ +/F54 9.9626 Tf -259.654 -21.934 Td [(psb)]TJ ET q 1 0 0 1 167.9 361.354 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 170.889 361.154 Td [(comm)]TJ +/F54 9.9626 Tf 170.889 361.154 Td [(comm)]TJ ET q 1 0 0 1 199.163 361.354 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 202.152 361.154 Td [(ext)]TJ +/F54 9.9626 Tf 202.152 361.154 Td [(ext)]TJ ET q 1 0 0 1 216.029 361.354 cm @@ -6684,23 +6684,23 @@ q Q 0 g 0 G BT -/F54 9.9626 Tf 224 361.154 Td [(Exchange)-250(data)-250(based)-250(on)-250(the)]TJ/F59 9.9626 Tf 124.92 0 Td [(ext_index)]TJ/F54 9.9626 Tf 49.564 0 Td [(list;)]TJ +/F57 9.9626 Tf 224 361.154 Td [(Exchange)-250(data)-250(based)-250(on)-250(the)]TJ/F62 9.9626 Tf 124.92 0 Td [(ext_index)]TJ/F57 9.9626 Tf 49.564 0 Td [(list;)]TJ 0 g 0 G -/F51 9.9626 Tf -247.779 -21.934 Td [(psb)]TJ +/F54 9.9626 Tf -247.779 -21.934 Td [(psb)]TJ ET q 1 0 0 1 167.9 339.42 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 170.889 339.22 Td [(comm)]TJ +/F54 9.9626 Tf 170.889 339.22 Td [(comm)]TJ ET q 1 0 0 1 199.163 339.42 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 202.152 339.22 Td [(ovr)]TJ +/F54 9.9626 Tf 202.152 339.22 Td [(ovr)]TJ ET q 1 0 0 1 217.703 339.42 cm @@ -6708,23 +6708,23 @@ q Q 0 g 0 G BT -/F54 9.9626 Tf 225.673 339.22 Td [(Exchange)-250(data)-250(based)-250(on)-250(the)]TJ/F59 9.9626 Tf 124.92 0 Td [(ovrlap_index)]TJ/F54 9.9626 Tf 65.255 0 Td [(list;)]TJ +/F57 9.9626 Tf 225.673 339.22 Td [(Exchange)-250(data)-250(based)-250(on)-250(the)]TJ/F62 9.9626 Tf 124.92 0 Td [(ovrlap_index)]TJ/F57 9.9626 Tf 65.255 0 Td [(list;)]TJ 0 g 0 G -/F51 9.9626 Tf -265.143 -21.934 Td [(psb)]TJ +/F54 9.9626 Tf -265.143 -21.934 Td [(psb)]TJ ET q 1 0 0 1 167.9 317.486 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 170.889 317.286 Td [(comm)]TJ +/F54 9.9626 Tf 170.889 317.286 Td [(comm)]TJ ET q 1 0 0 1 199.163 317.486 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 202.152 317.286 Td [(mov)]TJ +/F54 9.9626 Tf 202.152 317.286 Td [(mov)]TJ ET q 1 0 0 1 222.684 317.486 cm @@ -6732,21 +6732,21 @@ q Q 0 g 0 G BT -/F54 9.9626 Tf 230.654 317.286 Td [(Exchange)-250(data)-250(based)-250(on)-250(the)]TJ/F59 9.9626 Tf 124.921 0 Td [(ovr_mst_idx)]TJ/F54 9.9626 Tf 60.024 0 Td [(list;)]TJ/F51 11.9552 Tf -264.894 -31.99 Td [(3.2)-1000(Sparse)-250(Matrix)-250(class)]TJ/F54 9.9626 Tf 0 -19.937 Td [(The)]TJ/F59 9.9626 Tf 19.623 0 Td [(psb)]TJ +/F57 9.9626 Tf 230.654 317.286 Td [(Exchange)-250(data)-250(based)-250(on)-250(the)]TJ/F62 9.9626 Tf 124.921 0 Td [(ovr_mst_idx)]TJ/F57 9.9626 Tf 60.024 0 Td [(list;)]TJ/F54 11.9552 Tf -264.894 -31.99 Td [(3.2)-1000(Sparse)-250(Matrix)-250(class)]TJ/F57 9.9626 Tf 0 -19.937 Td [(The)]TJ/F62 9.9626 Tf 19.623 0 Td [(psb)]TJ ET q 1 0 0 1 186.647 265.558 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 189.785 265.359 Td [(Tspmat)]TJ +/F62 9.9626 Tf 189.785 265.359 Td [(Tspmat)]TJ ET q 1 0 0 1 221.795 265.558 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 224.933 265.359 Td [(type)]TJ/F54 9.9626 Tf 23.868 0 Td [(class)-296(contains)-295(all)-296(information)-296(about)-296(the)-295(local)-296(portion)-296(of)]TJ -98.096 -11.955 Td [(the)-200(sparse)-199(matrix)-200(and)-199(its)-200(storage)-200(mode.)-293(Its)-199(design)-200(is)-200(based)-199(on)-200(the)-200(ST)74(A)74(TE)-199(design)]TJ 0 -11.955 Td [(pattern)-256([)]TJ +/F62 9.9626 Tf 224.933 265.359 Td [(type)]TJ/F57 9.9626 Tf 23.868 0 Td [(class)-296(contains)-295(all)-296(information)-296(about)-296(the)-295(local)-296(portion)-296(of)]TJ -98.096 -11.955 Td [(the)-200(sparse)-199(matrix)-200(and)-199(its)-200(storage)-200(mode.)-293(Its)-199(design)-200(is)-200(based)-199(on)-200(the)-200(ST)74(A)74(TE)-199(design)]TJ 0 -11.955 Td [(pattern)-256([)]TJ 1 0 0 rg 1 0 0 RG [(13)]TJ 0 g 0 G @@ -6758,27 +6758,27 @@ BT 0 0 1 rg 0 0 1 RG [-255(2)]TJ 0 g 0 G - [-256(wher)18(e)]TJ/F59 9.9626 Tf 0 -11.956 Td [(T)]TJ/F54 9.9626 Tf 7.721 0 Td [(is)-250(a)-250(placeholder)-250(for)-250(the)-250(data)-250(type)-250(and)-250(pr)18(ecision)-250(variants)]TJ + [-256(wher)18(e)]TJ/F62 9.9626 Tf 0 -11.956 Td [(T)]TJ/F57 9.9626 Tf 7.721 0 Td [(is)-250(a)-250(placeholder)-250(for)-250(the)-250(data)-250(type)-250(and)-250(pr)18(ecision)-250(variants)]TJ 0 g 0 G -/F51 9.9626 Tf -7.721 -21.431 Td [(S)]TJ +/F54 9.9626 Tf -7.721 -21.431 Td [(S)]TJ 0 g 0 G -/F54 9.9626 Tf 11.068 0 Td [(Single)-250(pr)18(ecision)-250(r)18(eal;)]TJ +/F57 9.9626 Tf 11.068 0 Td [(Single)-250(pr)18(ecision)-250(r)18(eal;)]TJ 0 g 0 G -/F51 9.9626 Tf -11.068 -21.934 Td [(D)]TJ +/F54 9.9626 Tf -11.068 -21.934 Td [(D)]TJ 0 g 0 G -/F54 9.9626 Tf 13.28 0 Td [(Double)-250(pr)18(ecision)-250(r)18(eal;)]TJ +/F57 9.9626 Tf 13.28 0 Td [(Double)-250(pr)18(ecision)-250(r)18(eal;)]TJ 0 g 0 G -/F51 9.9626 Tf -13.28 -21.934 Td [(C)]TJ +/F54 9.9626 Tf -13.28 -21.934 Td [(C)]TJ 0 g 0 G -/F54 9.9626 Tf 12.174 0 Td [(Single)-250(pr)18(ecision)-250(complex;)]TJ +/F57 9.9626 Tf 12.174 0 Td [(Single)-250(pr)18(ecision)-250(complex;)]TJ 0 g 0 G -/F51 9.9626 Tf -12.174 -21.934 Td [(Z)]TJ +/F54 9.9626 Tf -12.174 -21.934 Td [(Z)]TJ 0 g 0 G -/F54 9.9626 Tf 11.626 0 Td [(Double)-250(pr)18(ecision)-250(complex;)]TJ +/F57 9.9626 Tf 11.626 0 Td [(Double)-250(pr)18(ecision)-250(complex;)]TJ 0 g 0 G -/F51 9.9626 Tf -11.626 -21.934 Td [(LS,LD,LC,LZ)]TJ +/F54 9.9626 Tf -11.626 -21.934 Td [(LS,LD,LC,LZ)]TJ 0 g 0 G -/F54 9.9626 Tf 65.026 0 Td [(Same)-214(numeric)-214(type)-215(as)-214(above,)-221(but)-214(with)]TJ/F59 9.9626 Tf 168.016 0 Td [(psb_lpk_)]TJ/F54 9.9626 Tf 43.978 0 Td [(integer)-214(indices.)]TJ +/F57 9.9626 Tf 65.026 0 Td [(Same)-214(numeric)-214(type)-215(as)-214(above,)-221(but)-214(with)]TJ/F62 9.9626 Tf 168.016 0 Td [(psb_lpk_)]TJ/F57 9.9626 Tf 43.978 0 Td [(integer)-214(indices.)]TJ 0 g 0 G -110.146 -29.888 Td [(16)]TJ 0 g 0 G @@ -6804,7 +6804,7 @@ Q 0 g 0 G 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG BT -/F94 8.9664 Tf 112.299 699.454 Td [(type)]TJ +/F97 8.9664 Tf 112.299 699.454 Td [(type)]TJ 0 g 0 G 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG [-525(::)]TJ @@ -6828,171 +6828,171 @@ BT 0.95 0.95 0.95 rg 0.95 0.95 0.95 RG 0 g 0 G 0 g 0 G -/F54 9.9626 Tf 4.295 -41.429 Td [(Listing)-250(2:)-310(The)-250(PSBLAS)-250(de\002ned)-250(data)-250(type)-250(that)-250(contains)-250(a)-250(sparse)-250(matrix.)]TJ -16.699 -32.661 Td [(The)-190(actual)-190(data)-190(is)-190(contained)-190(in)-190(the)-190(polymorphic)-190(component)]TJ/F59 9.9626 Tf 259.484 0 Td [(a%a)]TJ/F54 9.9626 Tf 17.584 0 Td [(of)-190(type)]TJ/F59 9.9626 Tf 32.089 0 Td [(psb)]TJ +/F57 9.9626 Tf 4.295 -41.429 Td [(Listing)-250(2:)-310(The)-250(PSBLAS)-250(de\002ned)-250(data)-250(type)-250(that)-250(contains)-250(a)-250(sparse)-250(matrix.)]TJ -16.699 -32.661 Td [(The)-190(actual)-190(data)-190(is)-190(contained)-190(in)-190(the)-190(polymorphic)-190(component)]TJ/F62 9.9626 Tf 259.484 0 Td [(a%a)]TJ/F57 9.9626 Tf 17.584 0 Td [(of)-190(type)]TJ/F62 9.9626 Tf 32.089 0 Td [(psb)]TJ ET q 1 0 0 1 425.371 603.645 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 428.509 603.446 Td [(T)]TJ +/F62 9.9626 Tf 428.509 603.446 Td [(T)]TJ ET q 1 0 0 1 434.367 603.645 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 437.505 603.446 Td [(base)]TJ +/F62 9.9626 Tf 437.505 603.446 Td [(base)]TJ ET q 1 0 0 1 459.054 603.645 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 462.193 603.446 Td [(sparse)]TJ +/F62 9.9626 Tf 462.193 603.446 Td [(sparse)]TJ ET q 1 0 0 1 494.202 603.645 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 497.341 603.446 Td [(mat)]TJ/F54 9.9626 Tf 15.691 0 Td [(;)]TJ -413.137 -11.955 Td [(its)-306(speci)1(\002c)-306(layout)-305(can)-306(be)-305(chosen)-306(dynamically)-305(among)-306(the)-305(pr)18(ede\002ned)-306(types,)-319(or)]TJ 0 -11.955 Td [(an)-305(entir)18(ely)-305(new)-305(storage)-305(layout)-305(can)-305(be)-305(implemented)-304(and)-305(passed)-305(to)-305(the)-305(library)]TJ 0 -11.955 Td [(at)-231(r)8(untime)-231(via)-231(the)]TJ/F59 9.9626 Tf 80.145 0 Td [(psb_spasb)]TJ/F54 9.9626 Tf 49.377 0 Td [(r)18(outine.)-304(The)-231(following)-231(very)-231(common)-231(formats)-231(ar)18(e)]TJ -129.522 -11.955 Td [(pr)18(ecompiled)-250(in)-250(PSBLAS)-250(and)-250(thus)-250(ar)18(e)-250(always)-250(available:)]TJ +/F62 9.9626 Tf 497.341 603.446 Td [(mat)]TJ/F57 9.9626 Tf 15.691 0 Td [(;)]TJ -413.137 -11.955 Td [(its)-306(speci)1(\002c)-306(layout)-305(can)-306(be)-305(chosen)-306(dynamically)-305(among)-306(the)-305(pr)18(ede\002ned)-306(types,)-319(or)]TJ 0 -11.955 Td [(an)-305(entir)18(ely)-305(new)-305(storage)-305(layout)-305(can)-305(be)-305(implemented)-304(and)-305(passed)-305(to)-305(the)-305(library)]TJ 0 -11.955 Td [(at)-231(r)8(untime)-231(via)-231(the)]TJ/F62 9.9626 Tf 80.145 0 Td [(psb_spasb)]TJ/F57 9.9626 Tf 49.377 0 Td [(r)18(outine.)-304(The)-231(following)-231(very)-231(common)-231(formats)-231(ar)18(e)]TJ -129.522 -11.955 Td [(pr)18(ecompiled)-250(in)-250(PSBLAS)-250(and)-250(thus)-250(ar)18(e)-250(always)-250(available:)]TJ 0 g 0 G -/F51 9.9626 Tf 0 -19.889 Td [(psb)]TJ +/F54 9.9626 Tf 0 -19.889 Td [(psb)]TJ ET q 1 0 0 1 117.091 535.936 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 120.08 535.737 Td [(T)]TJ +/F54 9.9626 Tf 120.08 535.737 Td [(T)]TJ ET q 1 0 0 1 127.322 535.936 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 130.311 535.737 Td [(coo)]TJ +/F54 9.9626 Tf 130.311 535.737 Td [(coo)]TJ ET q 1 0 0 1 146.411 535.936 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 149.399 535.737 Td [(sparse)]TJ +/F54 9.9626 Tf 149.399 535.737 Td [(sparse)]TJ ET q 1 0 0 1 178.769 535.936 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 181.758 535.737 Td [(mat)]TJ +/F54 9.9626 Tf 181.758 535.737 Td [(mat)]TJ 0 g 0 G -/F54 9.9626 Tf 22.137 0 Td [(Coor)18(dinate)-250(storage;)]TJ +/F57 9.9626 Tf 22.137 0 Td [(Coor)18(dinate)-250(storage;)]TJ 0 g 0 G -/F51 9.9626 Tf -104 -19.907 Td [(psb)]TJ +/F54 9.9626 Tf -104 -19.907 Td [(psb)]TJ ET q 1 0 0 1 117.091 516.03 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 120.08 515.83 Td [(T)]TJ +/F54 9.9626 Tf 120.08 515.83 Td [(T)]TJ ET q 1 0 0 1 127.322 516.03 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 130.311 515.83 Td [(csr)]TJ +/F54 9.9626 Tf 130.311 515.83 Td [(csr)]TJ ET q 1 0 0 1 143.631 516.03 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 146.62 515.83 Td [(sparse)]TJ +/F54 9.9626 Tf 146.62 515.83 Td [(sparse)]TJ ET q 1 0 0 1 175.989 516.03 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 178.978 515.83 Td [(mat)]TJ +/F54 9.9626 Tf 178.978 515.83 Td [(mat)]TJ 0 g 0 G -/F54 9.9626 Tf 22.137 0 Td [(Compr)18(essed)-250(storage)-250(by)-250(r)18(ows;)]TJ +/F57 9.9626 Tf 22.137 0 Td [(Compr)18(essed)-250(storage)-250(by)-250(r)18(ows;)]TJ 0 g 0 G -/F51 9.9626 Tf -101.22 -19.906 Td [(psb)]TJ +/F54 9.9626 Tf -101.22 -19.906 Td [(psb)]TJ ET q 1 0 0 1 117.091 496.123 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 120.08 495.924 Td [(T)]TJ +/F54 9.9626 Tf 120.08 495.924 Td [(T)]TJ ET q 1 0 0 1 127.322 496.123 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 130.311 495.924 Td [(csc)]TJ +/F54 9.9626 Tf 130.311 495.924 Td [(csc)]TJ ET q 1 0 0 1 144.179 496.123 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 147.168 495.924 Td [(sparse)]TJ +/F54 9.9626 Tf 147.168 495.924 Td [(sparse)]TJ ET q 1 0 0 1 176.537 496.123 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 179.526 495.924 Td [(mat)]TJ +/F54 9.9626 Tf 179.526 495.924 Td [(mat)]TJ 0 g 0 G -/F54 9.9626 Tf 22.137 0 Td [(Compr)18(essed)-250(storage)-250(by)-250(columns;)]TJ -101.768 -19.889 Td [(The)-295(inner)-295(sparse)-294(matrix)-295(has)-295(an)-295(associated)-294(state,)-306(which)-295(can)-295(take)-294(the)-295(following)]TJ 0 -11.955 Td [(values:)]TJ +/F57 9.9626 Tf 22.137 0 Td [(Compr)18(essed)-250(storage)-250(by)-250(columns;)]TJ -101.768 -19.889 Td [(The)-295(inner)-295(sparse)-294(matrix)-295(has)-295(an)-295(associated)-294(state,)-306(which)-295(can)-295(take)-294(the)-295(following)]TJ 0 -11.955 Td [(values:)]TJ 0 g 0 G -/F51 9.9626 Tf 0 -19.888 Td [(Build:)]TJ +/F54 9.9626 Tf 0 -19.888 Td [(Build:)]TJ 0 g 0 G -/F54 9.9626 Tf 32.927 0 Td [(State)-283(enter)18(ed)-283(after)-283(the)-283(\002rst)-284(allocation,)-291(and)-283(befor)18(e)-283(the)-283(\002rst)-283(assembly;)-300(in)]TJ -8.02 -11.955 Td [(this)-250(state)-250(it)-250(is)-250(possible)-250(to)-250(add)-250(nonzer)18(o)-250(entries.)]TJ +/F57 9.9626 Tf 32.927 0 Td [(State)-283(enter)18(ed)-283(after)-283(the)-283(\002rst)-284(allocation,)-291(and)-283(befor)18(e)-283(the)-283(\002rst)-283(assembly;)-300(in)]TJ -8.02 -11.955 Td [(this)-250(state)-250(it)-250(is)-250(possible)-250(to)-250(add)-250(nonzer)18(o)-250(entries.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.907 -19.907 Td [(Assembled:)]TJ +/F54 9.9626 Tf -24.907 -19.907 Td [(Assembled:)]TJ 0 g 0 G -/F54 9.9626 Tf 58.381 0 Td [(State)-324(enter)18(ed)-325(after)-324(the)-325(assembly;)-362(computations)-324(using)-325(the)-324(sparse)]TJ -33.474 -11.955 Td [(matrix,)-250(such)-250(as)-250(matrix-vector)-250(pr)18(oducts,)-250(ar)18(e)-250(only)-250(possible)-250(in)-250(this)-250(state;)]TJ +/F57 9.9626 Tf 58.381 0 Td [(State)-324(enter)18(ed)-325(after)-324(the)-325(assembly;)-362(computations)-324(using)-325(the)-324(sparse)]TJ -33.474 -11.955 Td [(matrix,)-250(such)-250(as)-250(matrix-vector)-250(pr)18(oducts,)-250(ar)18(e)-250(only)-250(possible)-250(in)-250(this)-250(state;)]TJ 0 g 0 G -/F51 9.9626 Tf -24.907 -19.907 Td [(Update:)]TJ +/F54 9.9626 Tf -24.907 -19.907 Td [(Update:)]TJ 0 g 0 G -/F54 9.9626 Tf 40.678 0 Td [(State)-219(enter)18(ed)-220(after)-219(a)-219(r)18(einitalization;)-230(this)-219(is)-219(used)-220(to)-219(handle)-219(applications)]TJ -15.771 -11.955 Td [(in)-288(which)-288(the)-288(same)-288(sparsity)-289(pattern)-288(is)-288(used)-288(multiple)-288(times)-288(with)-288(dif)18(fer)18(ent)]TJ 0 -11.955 Td [(coef)18(\002cients.)-298(In)-213(this)-214(state)-213(it)-214(is)-213(only)-214(possible)-213(to)-214(enter)-213(coef)18(\002cients)-214(for)-213(alr)18(eady)]TJ 0 -11.956 Td [(existing)-250(nonzer)18(o)-250(entries.)]TJ -24.907 -19.888 Td [(The)-293(only)-292(storage)-293(variant)-292(supporting)-293(the)-293(build)-292(state)-293(is)-292(COO;)-293(all)-293(other)-292(variants)]TJ 0 -11.955 Td [(ar)18(e)-250(obtained)-250(by)-250(conversion)-250(to/fr)18(om)-250(it.)]TJ/F51 9.9626 Tf 0 -27.132 Td [(3.2.1)-1000(Sparse)-250(Matrix)-250(Methods)]TJ 0 -18.964 Td [(3.2.2)-1000(get)]TJ +/F57 9.9626 Tf 40.678 0 Td [(State)-219(enter)18(ed)-220(after)-219(a)-219(r)18(einitalization;)-230(this)-219(is)-219(used)-220(to)-219(handle)-219(applications)]TJ -15.771 -11.955 Td [(in)-288(which)-288(the)-288(same)-288(sparsity)-289(pattern)-288(is)-288(used)-288(multiple)-288(times)-288(with)-288(dif)18(fer)18(ent)]TJ 0 -11.955 Td [(coef)18(\002cients.)-298(In)-213(this)-214(state)-213(it)-214(is)-213(only)-214(possible)-213(to)-214(enter)-213(coef)18(\002cients)-214(for)-213(alr)18(eady)]TJ 0 -11.956 Td [(existing)-250(nonzer)18(o)-250(entries.)]TJ -24.907 -19.888 Td [(The)-293(only)-292(storage)-293(variant)-292(supporting)-293(the)-293(build)-292(state)-293(is)-292(COO;)-293(all)-293(other)-292(variants)]TJ 0 -11.955 Td [(ar)18(e)-250(obtained)-250(by)-250(conversion)-250(to/fr)18(om)-250(it.)]TJ/F54 9.9626 Tf 0 -27.132 Td [(3.2.1)-1000(Sparse)-250(Matrix)-250(Methods)]TJ 0 -18.964 Td [(3.2.2)-1000(get)]TJ ET q 1 0 0 1 144.219 266.863 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 147.208 266.663 Td [(nrows)-250(\227)-250(Get)-250(number)-250(of)-250(rows)-250(in)-250(a)-250(sparse)-250(matrix)]TJ +/F54 9.9626 Tf 147.208 266.663 Td [(nrows)-250(\227)-250(Get)-250(number)-250(of)-250(rows)-250(in)-250(a)-250(sparse)-250(matrix)]TJ 0 g 0 G 0 g 0 G -/F59 9.9626 Tf -47.313 -18.963 Td [(nr)-525(=)-525(a%get_nrows\050\051)]TJ +/F62 9.9626 Tf -47.313 -18.963 Td [(nr)-525(=)-525(a%get_nrows\050\051)]TJ 0 g 0 G -/F51 9.9626 Tf 0 -21.872 Td [(T)90(ype:)]TJ +/F54 9.9626 Tf 0 -21.872 Td [(T)90(ype:)]TJ 0 g 0 G -/F54 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ +/F57 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ 0 g 0 G -/F51 9.9626 Tf -29.828 -19.907 Td [(On)-250(Entry)]TJ +/F54 9.9626 Tf -29.828 -19.907 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -19.907 Td [(a)]TJ 0 g 0 G -/F54 9.9626 Tf 9.963 0 Td [(the)-250(sparse)-250(matrix)]TJ 14.944 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ +/F57 9.9626 Tf 9.963 0 Td [(the)-250(sparse)-250(matrix)]TJ 14.944 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ 0 g 0 G -56.339 -33.827 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -19.906 Td [(Function)-250(value)]TJ 0 g 0 G -/F54 9.9626 Tf 72.777 0 Td [(The)-250(number)-250(of)-250(r)18(ows)-250(of)-250(sparse)-250(matrix)]TJ/F59 9.9626 Tf 165.298 0 Td [(a)]TJ/F54 9.9626 Tf 5.231 0 Td [(.)]TJ +/F57 9.9626 Tf 72.777 0 Td [(The)-250(number)-250(of)-250(r)18(ows)-250(of)-250(sparse)-250(matrix)]TJ/F62 9.9626 Tf 165.298 0 Td [(a)]TJ/F57 9.9626 Tf 5.231 0 Td [(.)]TJ 0 g 0 G -76.431 -29.888 Td [(17)]TJ 0 g 0 G @@ -7008,95 +7008,95 @@ stream 0 g 0 G 0 g 0 G BT -/F51 9.9626 Tf 150.705 706.129 Td [(3.2.3)-1000(get)]TJ +/F54 9.9626 Tf 150.705 706.129 Td [(3.2.3)-1000(get)]TJ ET q 1 0 0 1 195.029 706.328 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 198.017 706.129 Td [(ncols)-250(\227)-250(Get)-250(number)-250(of)-250(columns)-250(in)-250(a)-250(sparse)-250(matrix)]TJ +/F54 9.9626 Tf 198.017 706.129 Td [(ncols)-250(\227)-250(Get)-250(number)-250(of)-250(columns)-250(in)-250(a)-250(sparse)-250(matrix)]TJ 0 g 0 G 0 g 0 G -/F59 9.9626 Tf -47.312 -19.023 Td [(nc)-525(=)-525(a%get_ncols\050\051)]TJ +/F62 9.9626 Tf -47.312 -19.023 Td [(nc)-525(=)-525(a%get_ncols\050\051)]TJ 0 g 0 G -/F51 9.9626 Tf 0 -22.01 Td [(T)90(ype:)]TJ +/F54 9.9626 Tf 0 -22.01 Td [(T)90(ype:)]TJ 0 g 0 G -/F54 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ +/F57 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ 0 g 0 G -/F51 9.9626 Tf -29.828 -20.049 Td [(On)-250(Entry)]TJ +/F54 9.9626 Tf -29.828 -20.049 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -20.048 Td [(a)]TJ 0 g 0 G -/F54 9.9626 Tf 9.963 0 Td [(the)-250(sparse)-250(matrix)]TJ 14.944 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.431 0 Td [(local)]TJ +/F57 9.9626 Tf 9.963 0 Td [(the)-250(sparse)-250(matrix)]TJ 14.944 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.431 0 Td [(local)]TJ 0 g 0 G -56.338 -33.965 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -20.048 Td [(Function)-250(value)]TJ 0 g 0 G -/F54 9.9626 Tf 72.777 0 Td [(The)-250(number)-250(of)-250(columns)-250(of)-250(sparse)-250(matrix)]TJ/F59 9.9626 Tf 181.158 0 Td [(a)]TJ/F54 9.9626 Tf 5.23 0 Td [(.)]TJ/F51 9.9626 Tf -259.165 -27.315 Td [(3.2.4)-1000(get)]TJ +/F57 9.9626 Tf 72.777 0 Td [(The)-250(number)-250(of)-250(columns)-250(of)-250(sparse)-250(matrix)]TJ/F62 9.9626 Tf 181.158 0 Td [(a)]TJ/F57 9.9626 Tf 5.23 0 Td [(.)]TJ/F54 9.9626 Tf -259.165 -27.315 Td [(3.2.4)-1000(get)]TJ ET q 1 0 0 1 195.029 531.915 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 198.017 531.716 Td [(nnzeros)-250(\227)-250(Get)-250(number)-250(of)-250(nonzero)-250(elements)-250(in)-250(a)-250(sparse)-250(matrix)]TJ +/F54 9.9626 Tf 198.017 531.716 Td [(nnzeros)-250(\227)-250(Get)-250(number)-250(of)-250(nonzero)-250(elements)-250(in)-250(a)-250(sparse)-250(matrix)]TJ 0 g 0 G 0 g 0 G -/F59 9.9626 Tf -47.312 -19.024 Td [(nz)-525(=)-525(a%get_nnzeros\050\051)]TJ +/F62 9.9626 Tf -47.312 -19.024 Td [(nz)-525(=)-525(a%get_nnzeros\050\051)]TJ 0 g 0 G -/F51 9.9626 Tf 0 -22.01 Td [(T)90(ype:)]TJ +/F54 9.9626 Tf 0 -22.01 Td [(T)90(ype:)]TJ 0 g 0 G -/F54 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ +/F57 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ 0 g 0 G -/F51 9.9626 Tf -29.828 -20.048 Td [(On)-250(Entry)]TJ +/F54 9.9626 Tf -29.828 -20.048 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -20.048 Td [(a)]TJ 0 g 0 G -/F54 9.9626 Tf 9.963 0 Td [(the)-250(sparse)-250(matrix)]TJ 14.944 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.431 0 Td [(local)]TJ +/F57 9.9626 Tf 9.963 0 Td [(the)-250(sparse)-250(matrix)]TJ 14.944 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.431 0 Td [(local)]TJ 0 g 0 G -56.338 -33.965 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -20.048 Td [(Function)-250(value)]TJ 0 g 0 G -/F54 9.9626 Tf 72.777 0 Td [(The)-250(number)-250(of)-250(nonzer)18(o)-250(elements)-250(stor)18(ed)-250(in)-250(sparse)-250(matrix)]TJ/F59 9.9626 Tf 251.284 0 Td [(a)]TJ/F54 9.9626 Tf 5.231 0 Td [(.)]TJ/F51 9.9626 Tf -329.292 -22.041 Td [(Notes)]TJ +/F57 9.9626 Tf 72.777 0 Td [(The)-250(number)-250(of)-250(nonzer)18(o)-250(elements)-250(stor)18(ed)-250(in)-250(sparse)-250(matrix)]TJ/F62 9.9626 Tf 251.284 0 Td [(a)]TJ/F57 9.9626 Tf 5.231 0 Td [(.)]TJ/F54 9.9626 Tf -329.292 -22.041 Td [(Notes)]TJ 0 g 0 G -/F54 9.9626 Tf 12.453 -20.017 Td [(1.)]TJ +/F57 9.9626 Tf 12.453 -20.017 Td [(1.)]TJ 0 g 0 G - [-500(The)-395(function)-395(value)-395(is)-395(speci\002c)-395(to)-395(the)-395(storage)-395(format)-395(of)-396(matri)1(x)]TJ/F59 9.9626 Tf 295.646 0 Td [(a)]TJ/F54 9.9626 Tf 5.23 0 Td [(;)-468(some)]TJ -288.422 -11.956 Td [(storage)-343(formats)-342(employ)-343(padding,)-366(thus)-343(the)-342(r)18(eturned)-343(value)-343(for)-342(the)-343(same)]TJ 0 -11.955 Td [(matrix)-250(may)-250(be)-250(dif)18(fer)18(ent)-250(for)-250(dif)18(fer)18(ent)-250(storage)-250(choices.)]TJ/F51 9.9626 Tf -24.907 -27.315 Td [(3.2.5)-1000(get)]TJ + [-500(The)-395(function)-395(value)-395(is)-395(speci\002c)-395(to)-395(the)-395(storage)-395(format)-395(of)-396(matri)1(x)]TJ/F62 9.9626 Tf 295.646 0 Td [(a)]TJ/F57 9.9626 Tf 5.23 0 Td [(;)-468(some)]TJ -288.422 -11.956 Td [(storage)-343(formats)-342(employ)-343(padding,)-366(thus)-343(the)-342(r)18(eturned)-343(value)-343(for)-342(the)-343(same)]TJ 0 -11.955 Td [(matrix)-250(may)-250(be)-250(dif)18(fer)18(ent)-250(for)-250(dif)18(fer)18(ent)-250(storage)-250(choices.)]TJ/F54 9.9626 Tf -24.907 -27.315 Td [(3.2.5)-1000(get)]TJ ET q 1 0 0 1 195.029 291.533 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 198.017 291.334 Td [(size)-398(\227)-397(Get)-398(maximum)-397(number)-398(of)-398(nonzero)-397(elements)-398(in)-398(a)-397(sparse)]TJ -17.424 -11.955 Td [(matrix)]TJ +/F54 9.9626 Tf 198.017 291.334 Td [(size)-398(\227)-397(Get)-398(maximum)-397(number)-398(of)-398(nonzero)-397(elements)-398(in)-398(a)-397(sparse)]TJ -17.424 -11.955 Td [(matrix)]TJ 0 g 0 G 0 g 0 G -/F59 9.9626 Tf -29.888 -19.024 Td [(maxnz)-525(=)-525(a%get_size\050\051)]TJ +/F62 9.9626 Tf -29.888 -19.024 Td [(maxnz)-525(=)-525(a%get_size\050\051)]TJ 0 g 0 G -/F51 9.9626 Tf 0 -22.01 Td [(T)90(ype:)]TJ +/F54 9.9626 Tf 0 -22.01 Td [(T)90(ype:)]TJ 0 g 0 G -/F54 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ +/F57 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ 0 g 0 G -/F51 9.9626 Tf -29.828 -20.048 Td [(On)-250(Entry)]TJ +/F54 9.9626 Tf -29.828 -20.048 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -20.048 Td [(a)]TJ 0 g 0 G -/F54 9.9626 Tf 9.963 0 Td [(the)-250(sparse)-250(matrix)]TJ 14.944 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.431 0 Td [(local)]TJ +/F57 9.9626 Tf 9.963 0 Td [(the)-250(sparse)-250(matrix)]TJ 14.944 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.431 0 Td [(local)]TJ 0 g 0 G -56.338 -33.965 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -20.048 Td [(Function)-250(value)]TJ 0 g 0 G -/F54 9.9626 Tf 72.777 0 Td [(The)-220(maximum)-220(number)-219(of)-220(nonzer)18(o)-220(elements)-220(that)-220(can)-219(be)-220(stor)18(ed)]TJ -47.87 -11.955 Td [(in)-250(sparse)-250(matrix)]TJ/F59 9.9626 Tf 73.294 0 Td [(a)]TJ/F54 9.9626 Tf 7.721 0 Td [(using)-250(its)-250(curr)18(ent)-250(memory)-250(allocation.)]TJ +/F57 9.9626 Tf 72.777 0 Td [(The)-220(maximum)-220(number)-219(of)-220(nonzer)18(o)-220(elements)-220(that)-220(can)-219(be)-220(stor)18(ed)]TJ -47.87 -11.955 Td [(in)-250(sparse)-250(matrix)]TJ/F62 9.9626 Tf 73.294 0 Td [(a)]TJ/F57 9.9626 Tf 7.721 0 Td [(using)-250(its)-250(curr)18(ent)-250(memory)-250(allocation.)]TJ 0 g 0 G 60.952 -29.888 Td [(18)]TJ 0 g 0 G @@ -7112,37 +7112,37 @@ stream 0 g 0 G 0 g 0 G BT -/F51 9.9626 Tf 99.895 706.129 Td [(3.2.6)-1000(sizeof)-250(\227)-250(Get)-250(memory)-250(occupation)-250(in)-250(bytes)-250(of)-250(a)-250(sparse)-250(matrix)]TJ +/F54 9.9626 Tf 99.895 706.129 Td [(3.2.6)-1000(sizeof)-250(\227)-250(Get)-250(memory)-250(occupation)-250(in)-250(bytes)-250(of)-250(a)-250(sparse)-250(matrix)]TJ 0 g 0 G 0 g 0 G -/F59 9.9626 Tf 0 -20.135 Td [(memory_size)-525(=)-525(a%sizeof\050\051)]TJ +/F62 9.9626 Tf 0 -20.135 Td [(memory_size)-525(=)-525(a%sizeof\050\051)]TJ 0 g 0 G -/F51 9.9626 Tf 0 -23.732 Td [(T)90(ype:)]TJ +/F54 9.9626 Tf 0 -23.732 Td [(T)90(ype:)]TJ 0 g 0 G -/F54 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ +/F57 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ 0 g 0 G -/F51 9.9626 Tf -29.828 -22.343 Td [(On)-250(Entry)]TJ +/F54 9.9626 Tf -29.828 -22.343 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -22.343 Td [(a)]TJ 0 g 0 G -/F54 9.9626 Tf 9.963 0 Td [(the)-250(sparse)-250(matrix)]TJ 14.944 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ +/F57 9.9626 Tf 9.963 0 Td [(the)-250(sparse)-250(matrix)]TJ 14.944 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ 0 g 0 G -56.339 -35.687 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -22.343 Td [(Function)-250(value)]TJ 0 g 0 G -/F54 9.9626 Tf 72.777 0 Td [(The)-250(memory)-250(occupation)-250(in)-250(bytes.)]TJ/F51 9.9626 Tf -72.777 -30.58 Td [(3.2.7)-1000(get)]TJ +/F57 9.9626 Tf 72.777 0 Td [(The)-250(memory)-250(occupation)-250(in)-250(bytes.)]TJ/F54 9.9626 Tf -72.777 -30.58 Td [(3.2.7)-1000(get)]TJ ET q 1 0 0 1 144.219 517.21 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 147.208 517.011 Td [(fmt)-250(\227)-250(Short)-250(description)-250(of)-250(the)-250(dynamic)-250(type)]TJ +/F54 9.9626 Tf 147.208 517.011 Td [(fmt)-250(\227)-250(Short)-250(description)-250(of)-250(the)-250(dynamic)-250(type)]TJ 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG -/F59 9.9626 Tf -47.313 -20.135 Td [(write)]TJ +/F62 9.9626 Tf -47.313 -20.135 Td [(write)]TJ 0 g 0 G [(\050)]TJ 0.40 0.40 0.40 rg 0.40 0.40 0.40 RG @@ -7154,50 +7154,50 @@ BT 0 g 0 G [(\051)-525(a%get_fmt\050\051)]TJ 0 g 0 G -/F51 9.9626 Tf 0 -24.336 Td [(T)90(ype:)]TJ +/F54 9.9626 Tf 0 -24.336 Td [(T)90(ype:)]TJ 0 g 0 G -/F54 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ +/F57 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ 0 g 0 G -/F51 9.9626 Tf -29.828 -22.343 Td [(On)-250(Entry)]TJ +/F54 9.9626 Tf -29.828 -22.343 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -22.343 Td [(a)]TJ 0 g 0 G -/F54 9.9626 Tf 9.963 0 Td [(the)-250(sparse)-250(matrix)]TJ 14.944 -11.956 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ +/F57 9.9626 Tf 9.963 0 Td [(the)-250(sparse)-250(matrix)]TJ 14.944 -11.956 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ 0 g 0 G -56.339 -35.686 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -22.343 Td [(Function)-250(value)]TJ 0 g 0 G -/F54 9.9626 Tf 72.777 0 Td [(A)-244(short)-245(string)-244(describing)-245(the)-244(dynamic)-245(type)-244(of)-245(the)-244(matrix.)-308(Pr)18(e-)]TJ -47.87 -11.955 Td [(de\002ned)-250(values)-250(include)]TJ +/F57 9.9626 Tf 72.777 0 Td [(A)-244(short)-245(string)-244(describing)-245(the)-244(dynamic)-245(type)-244(of)-245(the)-244(matrix.)-308(Pr)18(e-)]TJ -47.87 -11.955 Td [(de\002ned)-250(values)-250(include)]TJ 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG -/F59 9.9626 Tf 102.415 0 Td [(NULL)]TJ +/F62 9.9626 Tf 102.415 0 Td [(NULL)]TJ 0 g 0 G -/F54 9.9626 Tf 20.921 0 Td [(,)]TJ/F59 9.9626 Tf 4.981 0 Td [(COO)]TJ/F54 9.9626 Tf 15.691 0 Td [(,)]TJ/F59 9.9626 Tf 4.982 0 Td [(CSR)]TJ/F54 9.9626 Tf 18.181 0 Td [(and)]TJ/F59 9.9626 Tf 19.358 0 Td [(CSC)]TJ/F54 9.9626 Tf 15.691 0 Td [(.)]TJ/F51 9.9626 Tf -227.127 -30.581 Td [(3.2.8)-1000(is)]TJ +/F57 9.9626 Tf 20.921 0 Td [(,)]TJ/F62 9.9626 Tf 4.981 0 Td [(COO)]TJ/F57 9.9626 Tf 15.691 0 Td [(,)]TJ/F62 9.9626 Tf 4.982 0 Td [(CSR)]TJ/F57 9.9626 Tf 18.181 0 Td [(and)]TJ/F62 9.9626 Tf 19.358 0 Td [(CSC)]TJ/F57 9.9626 Tf 15.691 0 Td [(.)]TJ/F54 9.9626 Tf -227.127 -30.581 Td [(3.2.8)-1000(is)]TJ ET q 1 0 0 1 138.122 315.533 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 141.111 315.333 Td [(bld,)-250(is)]TJ +/F54 9.9626 Tf 141.111 315.333 Td [(bld,)-250(is)]TJ ET q 1 0 0 1 169.922 315.533 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 172.911 315.333 Td [(upd,)-250(is)]TJ +/F54 9.9626 Tf 172.911 315.333 Td [(upd,)-250(is)]TJ ET q 1 0 0 1 204.493 315.533 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 207.482 315.333 Td [(asb)-250(\227)-250(Status)-250(check)]TJ +/F54 9.9626 Tf 207.482 315.333 Td [(asb)-250(\227)-250(Status)-250(check)]TJ 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG -/F59 9.9626 Tf -107.587 -20.135 Td [(if)]TJ +/F62 9.9626 Tf -107.587 -20.135 Td [(if)]TJ 0 g 0 G [-525(\050a%is_bld\050\051\051)]TJ 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG @@ -7218,27 +7218,27 @@ BT [-525(then)]TJ 0 g 0 G 0 g 0 G -/F51 9.9626 Tf 0 -24.336 Td [(T)90(ype:)]TJ +/F54 9.9626 Tf 0 -24.336 Td [(T)90(ype:)]TJ 0 g 0 G -/F54 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ +/F57 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ 0 g 0 G -/F51 9.9626 Tf -29.828 -22.343 Td [(On)-250(Entry)]TJ +/F54 9.9626 Tf -29.828 -22.343 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -22.343 Td [(a)]TJ 0 g 0 G -/F54 9.9626 Tf 9.963 0 Td [(the)-250(sparse)-250(matrix)]TJ 14.944 -11.956 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ +/F57 9.9626 Tf 9.963 0 Td [(the)-250(sparse)-250(matrix)]TJ 14.944 -11.956 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ 0 g 0 G -56.339 -35.686 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -22.343 Td [(Function)-250(value)]TJ 0 g 0 G -/F54 9.9626 Tf 72.777 0 Td [(A)]TJ +/F57 9.9626 Tf 72.777 0 Td [(A)]TJ 0.56 0.13 0.00 rg 0.56 0.13 0.00 RG -/F59 9.9626 Tf 9.966 0 Td [(logical)]TJ +/F62 9.9626 Tf 9.966 0 Td [(logical)]TJ 0 g 0 G -/F54 9.9626 Tf 38.827 0 Td [(value)-222(indicating)-223(whether)-222(the)-222(matrix)-223(is)-222(in)-222(the)-223(Build,)]TJ -96.663 -11.955 Td [(Update)-250(or)-250(Assembled)-250(state,)-250(r)18(espectively)111(.)]TJ +/F57 9.9626 Tf 38.827 0 Td [(value)-222(indicating)-223(whether)-222(the)-222(matrix)-223(is)-222(in)-222(the)-223(Build,)]TJ -96.663 -11.955 Td [(Update)-250(or)-250(Assembled)-250(state,)-250(r)18(espectively)111(.)]TJ 0 g 0 G 141.968 -29.888 Td [(19)]TJ 0 g 0 G @@ -7254,37 +7254,37 @@ stream 0 g 0 G 0 g 0 G BT -/F51 9.9626 Tf 150.705 706.129 Td [(3.2.9)-1000(is)]TJ +/F54 9.9626 Tf 150.705 706.129 Td [(3.2.9)-1000(is)]TJ ET q 1 0 0 1 188.931 706.328 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 191.92 706.129 Td [(lower)55(,)-250(is)]TJ +/F54 9.9626 Tf 191.92 706.129 Td [(lower)55(,)-250(is)]TJ ET q 1 0 0 1 230.704 706.328 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 233.693 706.129 Td [(upper)55(,)-250(is)]TJ +/F54 9.9626 Tf 233.693 706.129 Td [(upper)55(,)-250(is)]TJ ET q 1 0 0 1 273.583 706.328 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 276.572 706.129 Td [(triangle,)-250(is)]TJ +/F54 9.9626 Tf 276.572 706.129 Td [(triangle,)-250(is)]TJ ET q 1 0 0 1 325.309 706.328 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 328.298 706.129 Td [(unit)-250(\227)-250(Format)-250(check)]TJ +/F54 9.9626 Tf 328.298 706.129 Td [(unit)-250(\227)-250(Format)-250(check)]TJ 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG -/F59 9.9626 Tf -177.593 -19.573 Td [(if)]TJ +/F62 9.9626 Tf -177.593 -19.573 Td [(if)]TJ 0 g 0 G [-525(\050a%is_triangle\050\051\051)]TJ 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG @@ -7312,29 +7312,29 @@ BT [-525(then)]TJ 0 g 0 G 0 g 0 G -/F51 9.9626 Tf 0 -22.86 Td [(T)90(ype:)]TJ +/F54 9.9626 Tf 0 -22.86 Td [(T)90(ype:)]TJ 0 g 0 G -/F54 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ +/F57 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ 0 g 0 G -/F51 9.9626 Tf -29.828 -21.183 Td [(On)-250(Entry)]TJ +/F54 9.9626 Tf -29.828 -21.183 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -21.183 Td [(a)]TJ 0 g 0 G -/F54 9.9626 Tf 9.963 0 Td [(the)-250(sparse)-250(matrix)]TJ 14.944 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.431 0 Td [(local)]TJ +/F57 9.9626 Tf 9.963 0 Td [(the)-250(sparse)-250(matrix)]TJ 14.944 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.431 0 Td [(local)]TJ 0 g 0 G -56.338 -34.816 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -21.183 Td [(Function)-250(value)]TJ 0 g 0 G -/F54 9.9626 Tf 72.777 0 Td [(A)]TJ +/F57 9.9626 Tf 72.777 0 Td [(A)]TJ 0.56 0.13 0.00 rg 0.56 0.13 0.00 RG -/F59 9.9626 Tf 10.803 0 Td [(logical)]TJ +/F62 9.9626 Tf 10.803 0 Td [(logical)]TJ 0 g 0 G -/F54 9.9626 Tf 39.665 0 Td [(value)-306(indicating)-307(whether)-306(the)-307(matrix)-306(is)-306(triangular;)]TJ -98.338 -11.955 Td [(if)]TJ/F59 9.9626 Tf 8.595 0 Td [(is_triangle\050\051)]TJ/F54 9.9626 Tf 70.373 0 Td [(r)18(eturns)]TJ/F59 9.9626 Tf 34.119 0 Td [(.true.)]TJ/F54 9.9626 Tf 33.761 0 Td [(check)-239(also)-238(if)-239(it)-239(is)-239(lower)74(,)-241(upper)-238(and)-239(with)]TJ -146.848 -11.955 Td [(a)-250(unit)-250(\050i.e.)-310(assumed\051)-250(diagonal.)]TJ/F51 9.9626 Tf -24.907 -28.929 Td [(3.2.10)-1000(cscnv)-250(\227)-250(Convert)-250(to)-250(a)-250(dif)18(ferent)-250(storage)-250(format)]TJ +/F57 9.9626 Tf 39.665 0 Td [(value)-306(indicating)-307(whether)-306(the)-307(matrix)-306(is)-306(triangular;)]TJ -98.338 -11.955 Td [(if)]TJ/F62 9.9626 Tf 8.595 0 Td [(is_triangle\050\051)]TJ/F57 9.9626 Tf 70.373 0 Td [(r)18(eturns)]TJ/F62 9.9626 Tf 34.119 0 Td [(.true.)]TJ/F57 9.9626 Tf 33.761 0 Td [(check)-239(also)-238(if)-239(it)-239(is)-239(lower)74(,)-241(upper)-238(and)-239(with)]TJ -146.848 -11.955 Td [(a)-250(unit)-250(\050i.e.)-310(assumed\051)-250(diagonal.)]TJ/F54 9.9626 Tf -24.907 -28.929 Td [(3.2.10)-1000(cscnv)-250(\227)-250(Convert)-250(to)-250(a)-250(dif)18(ferent)-250(storage)-250(format)]TJ 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG -/F59 9.9626 Tf 0 -19.573 Td [(call)]TJ +/F62 9.9626 Tf 0 -19.573 Td [(call)]TJ 0 g 0 G [-1050(a%cscnv\050b,info)-525([,)]TJ 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG @@ -7350,43 +7350,43 @@ BT 0 g 0 G [(,)-525(mold,)-525(dupl]\051)]TJ 0 g 0 G -/F51 9.9626 Tf 0 -22.861 Td [(T)90(ype:)]TJ +/F54 9.9626 Tf 0 -22.861 Td [(T)90(ype:)]TJ 0 g 0 G -/F54 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ +/F57 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ 0 g 0 G -/F51 9.9626 Tf -29.828 -21.183 Td [(On)-250(Entry)]TJ +/F54 9.9626 Tf -29.828 -21.183 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -21.183 Td [(a)]TJ 0 g 0 G -/F54 9.9626 Tf 9.963 0 Td [(the)-250(sparse)-250(matrix.)]TJ 14.944 -11.955 Td [(A)-250(variable)-250(of)-250(type)]TJ/F59 9.9626 Tf 81.622 0 Td [(psb_Tspmat_type)]TJ/F54 9.9626 Tf 78.455 0 Td [(.)]TJ -160.077 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.431 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ +/F57 9.9626 Tf 9.963 0 Td [(the)-250(sparse)-250(matrix.)]TJ 14.944 -11.955 Td [(A)-250(variable)-250(of)-250(type)]TJ/F62 9.9626 Tf 81.622 0 Td [(psb_Tspmat_type)]TJ/F57 9.9626 Tf 78.455 0 Td [(.)]TJ -160.077 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.431 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -77.917 -33.138 Td [(type)]TJ +/F54 9.9626 Tf -77.917 -33.138 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf 24.906 0 Td [(a)-250(string)-250(r)18(equesting)-250(a)-250(new)-250(format.)]TJ 0.001 -11.955 Td [(T)90(ype:)-310(optional.)]TJ +/F57 9.9626 Tf 24.906 0 Td [(a)-250(string)-250(r)18(equesting)-250(a)-250(new)-250(format.)]TJ 0.001 -11.955 Td [(T)90(ype:)-310(optional.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.907 -21.183 Td [(mold)]TJ +/F54 9.9626 Tf -24.907 -21.183 Td [(mold)]TJ 0 g 0 G -/F54 9.9626 Tf 28.782 0 Td [(a)-236(variable)-236(of)]TJ +/F57 9.9626 Tf 28.782 0 Td [(a)-236(variable)-236(of)]TJ 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG -/F59 9.9626 Tf 56.403 0 Td [(class)]TJ +/F62 9.9626 Tf 56.403 0 Td [(class)]TJ 0 g 0 G - [(\050psb_T_base_sparse_mat\051)]TJ/F54 9.9626 Tf 148.803 0 Td [(r)18(equesting)-236(a)-236(new)-237(format)1(.)]TJ -209.081 -11.955 Td [(T)90(ype:)-310(optional.)]TJ + [(\050psb_T_base_sparse_mat\051)]TJ/F57 9.9626 Tf 148.803 0 Td [(r)18(equesting)-236(a)-236(new)-237(format)1(.)]TJ -209.081 -11.955 Td [(T)90(ype:)-310(optional.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.907 -21.182 Td [(dupl)]TJ +/F54 9.9626 Tf -24.907 -21.182 Td [(dupl)]TJ 0 g 0 G -/F54 9.9626 Tf 26.56 0 Td [(an)-359(integer)-358(value)-359(speci\002ng)-358(how)-359(to)-359(handle)-358(duplicates)-359(\050see)-359(Named)-358(Con-)]TJ -1.653 -11.956 Td [(stants)-250(below\051)]TJ +/F57 9.9626 Tf 26.56 0 Td [(an)-359(integer)-358(value)-359(speci\002ng)-358(how)-359(to)-359(handle)-358(duplicates)-359(\050see)-359(Named)-358(Con-)]TJ -1.653 -11.956 Td [(stants)-250(below\051)]TJ 0 g 0 G -/F51 9.9626 Tf -24.907 -22.861 Td [(On)-250(Return)]TJ +/F54 9.9626 Tf -24.907 -22.861 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -21.182 Td [(b,a)]TJ 0 g 0 G -/F54 9.9626 Tf 18.54 0 Td [(A)-250(copy)-250(of)]TJ/F59 9.9626 Tf 45.37 0 Td [(a)]TJ/F54 9.9626 Tf 7.721 0 Td [(with)-250(a)-250(new)-250(storage)-250(format.)]TJ -46.724 -11.955 Td [(A)-250(variable)-250(of)-250(type)]TJ/F59 9.9626 Tf 81.622 0 Td [(psb_Tspmat_type)]TJ/F54 9.9626 Tf 78.456 0 Td [(.)]TJ +/F57 9.9626 Tf 18.54 0 Td [(A)-250(copy)-250(of)]TJ/F62 9.9626 Tf 45.37 0 Td [(a)]TJ/F57 9.9626 Tf 7.721 0 Td [(with)-250(a)-250(new)-250(storage)-250(format.)]TJ -46.724 -11.955 Td [(A)-250(variable)-250(of)-250(type)]TJ/F62 9.9626 Tf 81.622 0 Td [(psb_Tspmat_type)]TJ/F57 9.9626 Tf 78.456 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -184.985 -21.183 Td [(info)]TJ +/F54 9.9626 Tf -184.985 -21.183 Td [(info)]TJ 0 g 0 G -/F54 9.9626 Tf 23.801 0 Td [(Return)-250(code.)]TJ -23.801 -23.175 Td [(The)]TJ/F59 9.9626 Tf 19.584 0 Td [(mold)]TJ/F54 9.9626 Tf 23.827 0 Td [(ar)18(guments)-292(may)-291(be)-292(employed)-292(to)-292(interface)-291(with)-292(special)-292(devices,)-302(such)]TJ -43.411 -11.955 Td [(as)-250(GPUs)-250(and)-250(other)-250(accelerators.)]TJ +/F57 9.9626 Tf 23.801 0 Td [(Return)-250(code.)]TJ -23.801 -23.175 Td [(The)]TJ/F62 9.9626 Tf 19.584 0 Td [(mold)]TJ/F57 9.9626 Tf 23.827 0 Td [(ar)18(guments)-292(may)-291(be)-292(employed)-292(to)-292(interface)-291(with)-292(special)-292(devices,)-302(such)]TJ -43.411 -11.955 Td [(as)-250(GPUs)-250(and)-250(other)-250(accelerators.)]TJ 0 g 0 G 166.874 -29.888 Td [(20)]TJ 0 g 0 G @@ -7402,13 +7402,13 @@ stream 0 g 0 G 0 g 0 G BT -/F51 9.9626 Tf 99.895 706.129 Td [(3.2.11)-1000(csclip)-250(\227)-250(Reduce)-250(to)-250(a)-250(submatrix)]TJ +/F54 9.9626 Tf 99.895 706.129 Td [(3.2.11)-1000(csclip)-250(\227)-250(Reduce)-250(to)-250(a)-250(submatrix)]TJ 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG -/F59 9.9626 Tf 20.922 -20.279 Td [(call)]TJ +/F62 9.9626 Tf 20.922 -20.279 Td [(call)]TJ 0 g 0 G - [-525(a%csclip\050b,info[,&)]TJ 15.691 -11.955 Td [(&)-525(imin,imax,jmin,jmax,rscale,cscale]\051)]TJ/F54 9.9626 Tf -21.669 -24.631 Td [(Returns)-190(the)-190(submatrix)]TJ/F59 9.9626 Tf 98.878 0 Td [(A\050imin:imax,jmin:jmax\051)]TJ/F54 9.9626 Tf 115.068 0 Td [(,)-202(optionally)-190(r)18(escaling)-190(r)18(ow/-)]TJ -228.89 -11.955 Td [(col)-250(indices)-250(to)-250(the)-250(range)]TJ + [-525(a%csclip\050b,info[,&)]TJ 15.691 -11.955 Td [(&)-525(imin,imax,jmin,jmax,rscale,cscale]\051)]TJ/F57 9.9626 Tf -21.669 -24.631 Td [(Returns)-190(the)-190(submatrix)]TJ/F62 9.9626 Tf 98.878 0 Td [(A\050imin:imax,jmin:jmax\051)]TJ/F57 9.9626 Tf 115.068 0 Td [(,)-202(optionally)-190(r)18(escaling)-190(r)18(ow/-)]TJ -228.89 -11.955 Td [(col)-250(indices)-250(to)-250(the)-250(range)]TJ 0.25 0.63 0.44 rg 0.25 0.63 0.44 RG -/F59 9.9626 Tf 103.85 0 Td [(1)]TJ +/F62 9.9626 Tf 103.85 0 Td [(1)]TJ 0 g 0 G [(:imax)]TJ 0.40 0.40 0.40 rg 0.40 0.40 0.40 RG @@ -7436,70 +7436,70 @@ BT 0.25 0.63 0.44 rg 0.25 0.63 0.44 RG [(1)]TJ 0 g 0 G -/F54 9.9626 Tf 141.219 0 Td [(.)]TJ +/F57 9.9626 Tf 141.219 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -245.069 -21.961 Td [(T)90(ype:)]TJ +/F54 9.9626 Tf -245.069 -21.961 Td [(T)90(ype:)]TJ 0 g 0 G -/F54 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ +/F57 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ 0 g 0 G -/F51 9.9626 Tf -29.828 -22.638 Td [(On)-250(Entry)]TJ +/F54 9.9626 Tf -29.828 -22.638 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -22.639 Td [(a)]TJ 0 g 0 G -/F54 9.9626 Tf 9.963 0 Td [(the)-250(sparse)-250(matrix.)]TJ 14.944 -11.955 Td [(A)-250(variable)-250(of)-250(type)]TJ/F59 9.9626 Tf 81.623 0 Td [(psb_Tspmat_type)]TJ/F54 9.9626 Tf 78.455 0 Td [(.)]TJ -160.078 -11.956 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ +/F57 9.9626 Tf 9.963 0 Td [(the)-250(sparse)-250(matrix.)]TJ 14.944 -11.955 Td [(A)-250(variable)-250(of)-250(type)]TJ/F62 9.9626 Tf 81.623 0 Td [(psb_Tspmat_type)]TJ/F57 9.9626 Tf 78.455 0 Td [(.)]TJ -160.078 -11.956 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -77.918 -34.594 Td [(imin,imax,jmin,jmax)]TJ +/F54 9.9626 Tf -77.918 -34.594 Td [(imin,imax,jmin,jmax)]TJ 0 g 0 G -/F54 9.9626 Tf 99.885 0 Td [(Minimum)-250(and)-250(maximum)-250(r)18(ow)-250(and)-250(column)-250(indices.)]TJ -74.978 -11.955 Td [(T)90(ype:)-310(optional.)]TJ +/F57 9.9626 Tf 99.885 0 Td [(Minimum)-250(and)-250(maximum)-250(r)18(ow)-250(and)-250(column)-250(indices.)]TJ -74.978 -11.955 Td [(T)90(ype:)-310(optional.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.907 -22.638 Td [(rscale,cscale)]TJ +/F54 9.9626 Tf -24.907 -22.638 Td [(rscale,cscale)]TJ 0 g 0 G -/F54 9.9626 Tf 60.025 0 Td [(Whether)-250(to)-250(r)18(escale)-250(r)18(ow/column)-250(indices.)-310(T)90(ype:)-310(optional.)]TJ +/F57 9.9626 Tf 60.025 0 Td [(Whether)-250(to)-250(r)18(escale)-250(r)18(ow/column)-250(indices.)-310(T)90(ype:)-310(optional.)]TJ 0 g 0 G -/F51 9.9626 Tf -60.025 -24.632 Td [(On)-250(Return)]TJ +/F54 9.9626 Tf -60.025 -24.632 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -22.639 Td [(b)]TJ 0 g 0 G -/F54 9.9626 Tf 11.069 0 Td [(A)-250(copy)-250(of)-250(a)-250(submatrix)-250(of)]TJ/F59 9.9626 Tf 111.321 0 Td [(a)]TJ/F54 9.9626 Tf 5.23 0 Td [(.)]TJ -102.713 -11.955 Td [(A)-250(variable)-250(of)-250(type)]TJ/F59 9.9626 Tf 81.623 0 Td [(psb_Tspmat_type)]TJ/F54 9.9626 Tf 78.455 0 Td [(.)]TJ +/F57 9.9626 Tf 11.069 0 Td [(A)-250(copy)-250(of)-250(a)-250(submatrix)-250(of)]TJ/F62 9.9626 Tf 111.321 0 Td [(a)]TJ/F57 9.9626 Tf 5.23 0 Td [(.)]TJ -102.713 -11.955 Td [(A)-250(variable)-250(of)-250(type)]TJ/F62 9.9626 Tf 81.623 0 Td [(psb_Tspmat_type)]TJ/F57 9.9626 Tf 78.455 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -184.985 -22.639 Td [(info)]TJ +/F54 9.9626 Tf -184.985 -22.639 Td [(info)]TJ 0 g 0 G -/F54 9.9626 Tf 23.801 0 Td [(Return)-250(code.)]TJ/F51 9.9626 Tf -23.801 -31 Td [(3.2.12)-1000(clean)]TJ +/F57 9.9626 Tf 23.801 0 Td [(Return)-250(code.)]TJ/F54 9.9626 Tf -23.801 -31 Td [(3.2.12)-1000(clean)]TJ ET q 1 0 0 1 159.153 364.307 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 162.142 364.108 Td [(zeros)-250(\227)-250(Eliminate)-250(zero)-250(coef)18(\002cients)]TJ +/F54 9.9626 Tf 162.142 364.108 Td [(zeros)-250(\227)-250(Eliminate)-250(zero)-250(coef)18(\002cients)]TJ 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG -/F59 9.9626 Tf -62.247 -20.278 Td [(call)]TJ +/F62 9.9626 Tf -62.247 -20.278 Td [(call)]TJ 0 g 0 G - [-525(a%clean_zeros\050info\051)]TJ/F54 9.9626 Tf 14.944 -12.634 Td [(Eliminates)-214(zer)18(o)-214(coef)18(\002cients)-214(in)-214(the)-214(input)-214(matrix.)-298(Note)-214(that)-214(depending)-214(on)-214(the)]TJ -14.944 -11.955 Td [(internal)-246(storage)-245(format,)-247(ther)18(e)-245(may)-246(still)-245(be)-246(some)-245(amount)-246(of)-246(ze)1(r)18(o)-246(padding)-246(in)-245(the)]TJ 0 -11.955 Td [(output.)]TJ + [-525(a%clean_zeros\050info\051)]TJ/F57 9.9626 Tf 14.944 -12.634 Td [(Eliminates)-214(zer)18(o)-214(coef)18(\002cients)-214(in)-214(the)-214(input)-214(matrix.)-298(Note)-214(that)-214(depending)-214(on)-214(the)]TJ -14.944 -11.955 Td [(internal)-246(storage)-245(format,)-247(ther)18(e)-245(may)-246(still)-245(be)-246(some)-245(amount)-246(of)-246(ze)1(r)18(o)-246(padding)-246(in)-245(the)]TJ 0 -11.955 Td [(output.)]TJ 0 g 0 G -/F51 9.9626 Tf 0 -24.632 Td [(T)90(ype:)]TJ +/F54 9.9626 Tf 0 -24.632 Td [(T)90(ype:)]TJ 0 g 0 G -/F54 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ +/F57 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ 0 g 0 G -/F51 9.9626 Tf -29.828 -22.638 Td [(On)-250(Entry)]TJ +/F54 9.9626 Tf -29.828 -22.638 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -22.639 Td [(a)]TJ 0 g 0 G -/F54 9.9626 Tf 9.963 0 Td [(the)-250(sparse)-250(matrix.)]TJ 14.944 -11.955 Td [(A)-250(variable)-250(of)-250(type)]TJ/F59 9.9626 Tf 81.623 0 Td [(psb_Tspmat_type)]TJ/F54 9.9626 Tf 78.455 0 Td [(.)]TJ -160.078 -11.956 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ +/F57 9.9626 Tf 9.963 0 Td [(the)-250(sparse)-250(matrix.)]TJ 14.944 -11.955 Td [(A)-250(variable)-250(of)-250(type)]TJ/F62 9.9626 Tf 81.623 0 Td [(psb_Tspmat_type)]TJ/F57 9.9626 Tf 78.455 0 Td [(.)]TJ -160.078 -11.956 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -77.918 -35.908 Td [(On)-250(Return)]TJ +/F54 9.9626 Tf -77.918 -35.908 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -22.638 Td [(a)]TJ 0 g 0 G -/F54 9.9626 Tf 9.963 0 Td [(The)-250(matrix)]TJ/F59 9.9626 Tf 50.659 0 Td [(a)]TJ/F54 9.9626 Tf 7.721 0 Td [(without)-250(zer)18(o)-250(coef)18(\002cients.)]TJ -43.436 -11.956 Td [(A)-250(variable)-250(of)-250(type)]TJ/F59 9.9626 Tf 81.623 0 Td [(psb_Tspmat_type)]TJ/F54 9.9626 Tf 78.455 0 Td [(.)]TJ +/F57 9.9626 Tf 9.963 0 Td [(The)-250(matrix)]TJ/F62 9.9626 Tf 50.659 0 Td [(a)]TJ/F57 9.9626 Tf 7.721 0 Td [(without)-250(zer)18(o)-250(coef)18(\002cients.)]TJ -43.436 -11.956 Td [(A)-250(variable)-250(of)-250(type)]TJ/F62 9.9626 Tf 81.623 0 Td [(psb_Tspmat_type)]TJ/F57 9.9626 Tf 78.455 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -184.985 -22.638 Td [(info)]TJ +/F54 9.9626 Tf -184.985 -22.638 Td [(info)]TJ 0 g 0 G -/F54 9.9626 Tf 23.801 0 Td [(Return)-250(code.)]TJ +/F57 9.9626 Tf 23.801 0 Td [(Return)-250(code.)]TJ 0 g 0 G 143.074 -29.888 Td [(21)]TJ 0 g 0 G @@ -7515,79 +7515,79 @@ stream 0 g 0 G 0 g 0 G BT -/F51 9.9626 Tf 150.705 706.129 Td [(3.2.13)-1000(get)]TJ +/F54 9.9626 Tf 150.705 706.129 Td [(3.2.13)-1000(get)]TJ ET q 1 0 0 1 200.01 706.328 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 202.999 706.129 Td [(diag)-250(\227)-250(Get)-250(main)-250(diagonal)]TJ +/F54 9.9626 Tf 202.999 706.129 Td [(diag)-250(\227)-250(Get)-250(main)-250(diagonal)]TJ 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG -/F59 9.9626 Tf -52.294 -19.329 Td [(call)]TJ +/F62 9.9626 Tf -52.294 -19.329 Td [(call)]TJ 0 g 0 G - [-525(a%get_diag\050d,info\051)]TJ/F54 9.9626 Tf 14.944 -12.144 Td [(Returns)-250(a)-250(copy)-250(of)-250(the)-250(main)-250(diagonal.)]TJ + [-525(a%get_diag\050d,info\051)]TJ/F57 9.9626 Tf 14.944 -12.144 Td [(Returns)-250(a)-250(copy)-250(of)-250(the)-250(main)-250(diagonal.)]TJ 0 g 0 G -/F51 9.9626 Tf -14.944 -20.49 Td [(T)90(ype:)]TJ +/F54 9.9626 Tf -14.944 -20.49 Td [(T)90(ype:)]TJ 0 g 0 G -/F54 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ +/F57 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ 0 g 0 G -/F51 9.9626 Tf -29.828 -20.679 Td [(On)-250(Entry)]TJ +/F54 9.9626 Tf -29.828 -20.679 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -20.679 Td [(a)]TJ 0 g 0 G -/F54 9.9626 Tf 9.963 0 Td [(the)-250(sparse)-250(matrix.)]TJ 14.944 -11.955 Td [(A)-250(variable)-250(of)-250(type)]TJ/F59 9.9626 Tf 81.622 0 Td [(psb_Tspmat_type)]TJ/F54 9.9626 Tf 78.455 0 Td [(.)]TJ -160.077 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.431 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ +/F57 9.9626 Tf 9.963 0 Td [(the)-250(sparse)-250(matrix.)]TJ 14.944 -11.955 Td [(A)-250(variable)-250(of)-250(type)]TJ/F62 9.9626 Tf 81.622 0 Td [(psb_Tspmat_type)]TJ/F57 9.9626 Tf 78.455 0 Td [(.)]TJ -160.077 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.431 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -77.917 -34.627 Td [(On)-250(Return)]TJ +/F54 9.9626 Tf -77.917 -34.627 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -20.679 Td [(d)]TJ 0 g 0 G -/F54 9.9626 Tf 11.068 0 Td [(A)-250(copy)-250(of)-250(the)-250(main)-250(diagonal.)]TJ 13.839 -11.955 Td [(A)-250(one-dimensional)-250(array)-250(of)-250(the)-250(appr)18(opriate)-250(type.)]TJ +/F57 9.9626 Tf 11.068 0 Td [(A)-250(copy)-250(of)-250(the)-250(main)-250(diagonal.)]TJ 13.839 -11.955 Td [(A)-250(one-dimensional)-250(array)-250(of)-250(the)-250(appr)18(opriate)-250(type.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.907 -20.679 Td [(info)]TJ +/F54 9.9626 Tf -24.907 -20.679 Td [(info)]TJ 0 g 0 G -/F54 9.9626 Tf 23.8 0 Td [(Return)-250(code.)]TJ/F51 9.9626 Tf -23.8 -28.213 Td [(3.2.14)-1000(clip)]TJ +/F57 9.9626 Tf 23.8 0 Td [(Return)-250(code.)]TJ/F54 9.9626 Tf -23.8 -28.213 Td [(3.2.14)-1000(clip)]TJ ET q 1 0 0 1 203.317 472.944 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 206.306 472.745 Td [(diag)-250(\227)-250(Cut)-250(out)-250(main)-250(diagonal)]TJ +/F54 9.9626 Tf 206.306 472.745 Td [(diag)-250(\227)-250(Cut)-250(out)-250(main)-250(diagonal)]TJ 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG -/F59 9.9626 Tf -55.601 -19.329 Td [(call)]TJ +/F62 9.9626 Tf -55.601 -19.329 Td [(call)]TJ 0 g 0 G - [-525(a%clip_diag\050b,info\051)]TJ/F54 9.9626 Tf 14.944 -12.144 Td [(Returns)-250(a)-250(copy)-250(of)]TJ/F59 9.9626 Tf 79.73 0 Td [(a)]TJ/F54 9.9626 Tf 7.721 0 Td [(without)-250(the)-250(main)-250(diagonal.)]TJ + [-525(a%clip_diag\050b,info\051)]TJ/F57 9.9626 Tf 14.944 -12.144 Td [(Returns)-250(a)-250(copy)-250(of)]TJ/F62 9.9626 Tf 79.73 0 Td [(a)]TJ/F57 9.9626 Tf 7.721 0 Td [(without)-250(the)-250(main)-250(diagonal.)]TJ 0 g 0 G -/F51 9.9626 Tf -102.395 -20.49 Td [(T)90(ype:)]TJ +/F54 9.9626 Tf -102.395 -20.49 Td [(T)90(ype:)]TJ 0 g 0 G -/F54 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ +/F57 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ 0 g 0 G -/F51 9.9626 Tf -29.828 -20.679 Td [(On)-250(Entry)]TJ +/F54 9.9626 Tf -29.828 -20.679 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -20.679 Td [(a)]TJ 0 g 0 G -/F54 9.9626 Tf 9.963 0 Td [(the)-250(sparse)-250(matrix.)]TJ 14.944 -11.955 Td [(A)-250(variable)-250(of)-250(type)]TJ/F59 9.9626 Tf 81.622 0 Td [(psb_Tspmat_type)]TJ/F54 9.9626 Tf 78.455 0 Td [(.)]TJ -160.077 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.431 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ +/F57 9.9626 Tf 9.963 0 Td [(the)-250(sparse)-250(matrix.)]TJ 14.944 -11.955 Td [(A)-250(variable)-250(of)-250(type)]TJ/F62 9.9626 Tf 81.622 0 Td [(psb_Tspmat_type)]TJ/F57 9.9626 Tf 78.455 0 Td [(.)]TJ -160.077 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.431 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -77.917 -34.627 Td [(On)-250(Return)]TJ +/F54 9.9626 Tf -77.917 -34.627 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -20.679 Td [(b)]TJ 0 g 0 G -/F54 9.9626 Tf 11.068 0 Td [(A)-250(copy)-250(of)]TJ/F59 9.9626 Tf 45.37 0 Td [(a)]TJ/F54 9.9626 Tf 7.721 0 Td [(without)-250(the)-250(main)-250(diagonal.)]TJ -39.252 -11.955 Td [(A)-250(variable)-250(of)-250(type)]TJ/F59 9.9626 Tf 81.622 0 Td [(psb_Tspmat_type)]TJ/F54 9.9626 Tf 78.455 0 Td [(.)]TJ +/F57 9.9626 Tf 11.068 0 Td [(A)-250(copy)-250(of)]TJ/F62 9.9626 Tf 45.37 0 Td [(a)]TJ/F57 9.9626 Tf 7.721 0 Td [(without)-250(the)-250(main)-250(diagonal.)]TJ -39.252 -11.955 Td [(A)-250(variable)-250(of)-250(type)]TJ/F62 9.9626 Tf 81.622 0 Td [(psb_Tspmat_type)]TJ/F57 9.9626 Tf 78.455 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -184.984 -20.679 Td [(info)]TJ +/F54 9.9626 Tf -184.984 -20.679 Td [(info)]TJ 0 g 0 G -/F54 9.9626 Tf 23.8 0 Td [(Return)-250(code.)]TJ/F51 9.9626 Tf -23.8 -28.213 Td [(3.2.15)-1000(tril)-250(\227)-250(Return)-250(the)-250(lower)-250(triangle)]TJ +/F57 9.9626 Tf 23.8 0 Td [(Return)-250(code.)]TJ/F54 9.9626 Tf -23.8 -28.213 Td [(3.2.15)-1000(tril)-250(\227)-250(Return)-250(the)-250(lower)-250(triangle)]TJ 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG -/F59 9.9626 Tf 20.921 -19.329 Td [(call)]TJ +/F62 9.9626 Tf 20.921 -19.329 Td [(call)]TJ 0 g 0 G - [-525(a%tril\050l,info[,&)]TJ 15.691 -11.955 Td [(&)-525(diag,imin,imax,jmin,jmax,rscale,cscale,u]\051)]TJ/F54 9.9626 Tf -21.668 -22.671 Td [(Returns)-309(the)-308(lower)-309(triangular)-308(part)-309(of)-309(submatrix)]TJ/F59 9.9626 Tf 211.209 0 Td [(A\050imin:imax,jmin:jmax\051)]TJ/F54 9.9626 Tf 115.067 0 Td [(,)]TJ -341.22 -11.956 Td [(optionally)-190(r)18(escaling)-190(r)18(ow/col)-190(indices)-190(to)-190(the)-190(range)]TJ + [-525(a%tril\050l,info[,&)]TJ 15.691 -11.955 Td [(&)-525(diag,imin,imax,jmin,jmax,rscale,cscale,u]\051)]TJ/F57 9.9626 Tf -21.668 -22.671 Td [(Returns)-309(the)-308(lower)-309(triangular)-308(part)-309(of)-309(submatrix)]TJ/F62 9.9626 Tf 211.209 0 Td [(A\050imin:imax,jmin:jmax\051)]TJ/F57 9.9626 Tf 115.067 0 Td [(,)]TJ -341.22 -11.956 Td [(optionally)-190(r)18(escaling)-190(r)18(ow/col)-190(indices)-190(to)-190(the)-190(range)]TJ 0.25 0.63 0.44 rg 0.25 0.63 0.44 RG -/F59 9.9626 Tf 212.61 0 Td [(1)]TJ +/F62 9.9626 Tf 212.61 0 Td [(1)]TJ 0 g 0 G [(:imax)]TJ 0.40 0.40 0.40 rg 0.40 0.40 0.40 RG @@ -7615,16 +7615,16 @@ BT 0.25 0.63 0.44 rg 0.25 0.63 0.44 RG [(1)]TJ 0 g 0 G -/F54 9.9626 Tf -212.61 -11.955 Td [(and)-250(r)18(eturing)-250(the)-250(complementary)-250(upper)-250(triangle.)]TJ +/F57 9.9626 Tf -212.61 -11.955 Td [(and)-250(r)18(eturing)-250(the)-250(complementary)-250(upper)-250(triangle.)]TJ 0 g 0 G -/F51 9.9626 Tf 0 -20.49 Td [(T)90(ype:)]TJ +/F54 9.9626 Tf 0 -20.49 Td [(T)90(ype:)]TJ 0 g 0 G -/F54 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ +/F57 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ 0 g 0 G -/F51 9.9626 Tf -29.828 -20.679 Td [(On)-250(Entry)]TJ +/F54 9.9626 Tf -29.828 -20.679 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G -/F54 9.9626 Tf 166.874 -29.888 Td [(22)]TJ +/F57 9.9626 Tf 166.874 -29.888 Td [(22)]TJ 0 g 0 G ET @@ -7639,56 +7639,56 @@ stream 0 g 0 G 0 g 0 G BT -/F51 9.9626 Tf 99.895 706.129 Td [(a)]TJ +/F54 9.9626 Tf 99.895 706.129 Td [(a)]TJ 0 g 0 G -/F54 9.9626 Tf 9.963 0 Td [(the)-250(sparse)-250(matrix.)]TJ 14.944 -11.955 Td [(A)-250(variable)-250(of)-250(type)]TJ/F59 9.9626 Tf 81.623 0 Td [(psb_Tspmat_type)]TJ/F54 9.9626 Tf 78.455 0 Td [(.)]TJ -160.078 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ +/F57 9.9626 Tf 9.963 0 Td [(the)-250(sparse)-250(matrix.)]TJ 14.944 -11.955 Td [(A)-250(variable)-250(of)-250(type)]TJ/F62 9.9626 Tf 81.623 0 Td [(psb_Tspmat_type)]TJ/F57 9.9626 Tf 78.455 0 Td [(.)]TJ -160.078 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -77.918 -30.706 Td [(diag)]TJ +/F54 9.9626 Tf -77.918 -30.706 Td [(diag)]TJ 0 g 0 G -/F54 9.9626 Tf 24.907 0 Td [(Include)-300(diagonals)-301(up)-300(to)-301(this)-300(one;)]TJ/F59 9.9626 Tf 149.76 0 Td [(diag)]TJ +/F57 9.9626 Tf 24.907 0 Td [(Include)-300(diagonals)-301(up)-300(to)-301(this)-300(one;)]TJ/F62 9.9626 Tf 149.76 0 Td [(diag)]TJ 0.40 0.40 0.40 rg 0.40 0.40 0.40 RG [(=)]TJ 0 g 0 G 0.25 0.63 0.44 rg 0.25 0.63 0.44 RG [(1)]TJ 0 g 0 G -/F54 9.9626 Tf 34.376 0 Td [(means)-300(the)-301(\002rst)-300(super)18(diagonal,)]TJ/F59 9.9626 Tf -184.136 -11.955 Td [(diag)]TJ +/F57 9.9626 Tf 34.376 0 Td [(means)-300(the)-301(\002rst)-300(super)18(diagonal,)]TJ/F62 9.9626 Tf -184.136 -11.955 Td [(diag)]TJ 0.40 0.40 0.40 rg 0.40 0.40 0.40 RG [(=-)]TJ 0 g 0 G 0.25 0.63 0.44 rg 0.25 0.63 0.44 RG [(1)]TJ 0 g 0 G -/F54 9.9626 Tf 39.103 0 Td [(means)-250(the)-250(\002rst)-250(subdiagonal.)-310(Default)-250(0.)]TJ +/F57 9.9626 Tf 39.103 0 Td [(means)-250(the)-250(\002rst)-250(subdiagonal.)-310(Default)-250(0.)]TJ 0 g 0 G -/F51 9.9626 Tf -64.01 -18.75 Td [(imin,imax,jmin,jmax)]TJ +/F54 9.9626 Tf -64.01 -18.75 Td [(imin,imax,jmin,jmax)]TJ 0 g 0 G -/F54 9.9626 Tf 99.885 0 Td [(Minimum)-250(and)-250(maximum)-250(r)18(ow)-250(and)-250(column)-250(indices.)]TJ -74.978 -11.955 Td [(T)90(ype:)-310(optional.)]TJ +/F57 9.9626 Tf 99.885 0 Td [(Minimum)-250(and)-250(maximum)-250(r)18(ow)-250(and)-250(column)-250(indices.)]TJ -74.978 -11.955 Td [(T)90(ype:)-310(optional.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.907 -18.75 Td [(rscale,cscale)]TJ +/F54 9.9626 Tf -24.907 -18.75 Td [(rscale,cscale)]TJ 0 g 0 G -/F54 9.9626 Tf 60.025 0 Td [(Whether)-250(to)-250(r)18(escale)-250(r)18(ow/column)-250(indices.)-310(T)90(ype:)-310(optional.)]TJ +/F57 9.9626 Tf 60.025 0 Td [(Whether)-250(to)-250(r)18(escale)-250(r)18(ow/column)-250(indices.)-310(T)90(ype:)-310(optional.)]TJ 0 g 0 G -/F51 9.9626 Tf -60.025 -18.979 Td [(On)-250(Return)]TJ +/F54 9.9626 Tf -60.025 -18.979 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -18.75 Td [(l)]TJ 0 g 0 G -/F54 9.9626 Tf 8.299 0 Td [(A)-250(copy)-250(of)-250(the)-250(lower)-250(triangle)-250(of)]TJ/F59 9.9626 Tf 137.333 0 Td [(a)]TJ/F54 9.9626 Tf 5.231 0 Td [(.)]TJ -125.956 -11.955 Td [(A)-250(variable)-250(of)-250(type)]TJ/F59 9.9626 Tf 81.623 0 Td [(psb_Tspmat_type)]TJ/F54 9.9626 Tf 78.455 0 Td [(.)]TJ +/F57 9.9626 Tf 8.299 0 Td [(A)-250(copy)-250(of)-250(the)-250(lower)-250(triangle)-250(of)]TJ/F62 9.9626 Tf 137.333 0 Td [(a)]TJ/F57 9.9626 Tf 5.231 0 Td [(.)]TJ -125.956 -11.955 Td [(A)-250(variable)-250(of)-250(type)]TJ/F62 9.9626 Tf 81.623 0 Td [(psb_Tspmat_type)]TJ/F57 9.9626 Tf 78.455 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -184.985 -18.75 Td [(u)]TJ +/F54 9.9626 Tf -184.985 -18.75 Td [(u)]TJ 0 g 0 G -/F54 9.9626 Tf 11.069 0 Td [(\050optional\051)-250(A)-250(copy)-250(of)-250(the)-250(upper)-250(triangle)-250(of)]TJ/F59 9.9626 Tf 184.485 0 Td [(a)]TJ/F54 9.9626 Tf 5.231 0 Td [(.)]TJ -175.878 -11.956 Td [(A)-250(variable)-250(of)-250(type)]TJ/F59 9.9626 Tf 81.623 0 Td [(psb_Tspmat_type)]TJ/F54 9.9626 Tf 78.455 0 Td [(.)]TJ +/F57 9.9626 Tf 11.069 0 Td [(\050optional\051)-250(A)-250(copy)-250(of)-250(the)-250(upper)-250(triangle)-250(of)]TJ/F62 9.9626 Tf 184.485 0 Td [(a)]TJ/F57 9.9626 Tf 5.231 0 Td [(.)]TJ -175.878 -11.956 Td [(A)-250(variable)-250(of)-250(type)]TJ/F62 9.9626 Tf 81.623 0 Td [(psb_Tspmat_type)]TJ/F57 9.9626 Tf 78.455 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -184.985 -18.749 Td [(info)]TJ +/F54 9.9626 Tf -184.985 -18.749 Td [(info)]TJ 0 g 0 G -/F54 9.9626 Tf 23.801 0 Td [(Return)-250(code.)]TJ/F51 9.9626 Tf -23.801 -26.59 Td [(3.2.16)-1000(triu)-250(\227)-250(Return)-250(the)-250(upper)-250(triangle)]TJ +/F57 9.9626 Tf 23.801 0 Td [(Return)-250(code.)]TJ/F54 9.9626 Tf -23.801 -26.59 Td [(3.2.16)-1000(triu)-250(\227)-250(Return)-250(the)-250(upper)-250(triangle)]TJ 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG -/F59 9.9626 Tf 20.922 -18.964 Td [(call)]TJ +/F62 9.9626 Tf 20.922 -18.964 Td [(call)]TJ 0 g 0 G - [-525(a%triu\050u,info[,&)]TJ 15.691 -11.955 Td [(&)-525(diag,imin,imax,jmin,jmax,rscale,cscale,l]\051)]TJ/F54 9.9626 Tf -21.669 -18.979 Td [(Returns)-289(the)-290(upper)-289(triangular)-290(part)-289(of)-290(submatrix)]TJ/F59 9.9626 Tf 211.209 0 Td [(A\050imin:imax,jmin:jmax\051)]TJ/F54 9.9626 Tf 115.068 0 Td [(,)]TJ -341.221 -11.955 Td [(optionally)-190(r)18(escaling)-190(r)18(ow/col)-190(indices)-190(to)-190(the)-190(range)]TJ + [-525(a%triu\050u,info[,&)]TJ 15.691 -11.955 Td [(&)-525(diag,imin,imax,jmin,jmax,rscale,cscale,l]\051)]TJ/F57 9.9626 Tf -21.669 -18.979 Td [(Returns)-289(the)-290(upper)-289(triangular)-290(part)-289(of)-290(submatrix)]TJ/F62 9.9626 Tf 211.209 0 Td [(A\050imin:imax,jmin:jmax\051)]TJ/F57 9.9626 Tf 115.068 0 Td [(,)]TJ -341.221 -11.955 Td [(optionally)-190(r)18(escaling)-190(r)18(ow/col)-190(indices)-190(to)-190(the)-190(range)]TJ 0.25 0.63 0.44 rg 0.25 0.63 0.44 RG -/F59 9.9626 Tf 212.611 0 Td [(1)]TJ +/F62 9.9626 Tf 212.611 0 Td [(1)]TJ 0 g 0 G [(:imax)]TJ 0.40 0.40 0.40 rg 0.40 0.40 0.40 RG @@ -7716,59 +7716,59 @@ BT 0.25 0.63 0.44 rg 0.25 0.63 0.44 RG [(1)]TJ 0 g 0 G -/F54 9.9626 Tf 141.219 0 Td [(,)]TJ -353.83 -11.956 Td [(and)-250(r)18(eturing)-250(the)-250(complementary)-250(lower)-250(triangle.)]TJ +/F57 9.9626 Tf 141.219 0 Td [(,)]TJ -353.83 -11.956 Td [(and)-250(r)18(eturing)-250(the)-250(complementary)-250(lower)-250(triangle.)]TJ 0 g 0 G -/F51 9.9626 Tf 0 -17.574 Td [(T)90(ype:)]TJ +/F54 9.9626 Tf 0 -17.574 Td [(T)90(ype:)]TJ 0 g 0 G -/F54 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ +/F57 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ 0 g 0 G -/F51 9.9626 Tf -29.828 -18.75 Td [(On)-250(Entry)]TJ +/F54 9.9626 Tf -29.828 -18.75 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -18.75 Td [(a)]TJ 0 g 0 G -/F54 9.9626 Tf 9.963 0 Td [(the)-250(sparse)-250(matrix.)]TJ 14.944 -11.955 Td [(A)-250(variable)-250(of)-250(type)]TJ/F59 9.9626 Tf 81.623 0 Td [(psb_Tspmat_type)]TJ/F54 9.9626 Tf 78.455 0 Td [(.)]TJ -160.078 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ +/F57 9.9626 Tf 9.963 0 Td [(the)-250(sparse)-250(matrix.)]TJ 14.944 -11.955 Td [(A)-250(variable)-250(of)-250(type)]TJ/F62 9.9626 Tf 81.623 0 Td [(psb_Tspmat_type)]TJ/F57 9.9626 Tf 78.455 0 Td [(.)]TJ -160.078 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -77.918 -30.706 Td [(diag)]TJ +/F54 9.9626 Tf -77.918 -30.706 Td [(diag)]TJ 0 g 0 G -/F54 9.9626 Tf 24.907 0 Td [(Include)-300(diagonals)-301(up)-300(to)-301(this)-300(one;)]TJ/F59 9.9626 Tf 149.76 0 Td [(diag)]TJ +/F57 9.9626 Tf 24.907 0 Td [(Include)-300(diagonals)-301(up)-300(to)-301(this)-300(one;)]TJ/F62 9.9626 Tf 149.76 0 Td [(diag)]TJ 0.40 0.40 0.40 rg 0.40 0.40 0.40 RG [(=)]TJ 0 g 0 G 0.25 0.63 0.44 rg 0.25 0.63 0.44 RG [(1)]TJ 0 g 0 G -/F54 9.9626 Tf 34.376 0 Td [(means)-300(the)-301(\002rst)-300(super)18(diagonal,)]TJ/F59 9.9626 Tf -184.136 -11.955 Td [(diag)]TJ +/F57 9.9626 Tf 34.376 0 Td [(means)-300(the)-301(\002rst)-300(super)18(diagonal,)]TJ/F62 9.9626 Tf -184.136 -11.955 Td [(diag)]TJ 0.40 0.40 0.40 rg 0.40 0.40 0.40 RG [(=-)]TJ 0 g 0 G 0.25 0.63 0.44 rg 0.25 0.63 0.44 RG [(1)]TJ 0 g 0 G -/F54 9.9626 Tf 39.103 0 Td [(means)-250(the)-250(\002rst)-250(subdiagonal.)-310(Default)-250(0.)]TJ +/F57 9.9626 Tf 39.103 0 Td [(means)-250(the)-250(\002rst)-250(subdiagonal.)-310(Default)-250(0.)]TJ 0 g 0 G -/F51 9.9626 Tf -64.01 -18.75 Td [(imin,imax,jmin,jmax)]TJ +/F54 9.9626 Tf -64.01 -18.75 Td [(imin,imax,jmin,jmax)]TJ 0 g 0 G -/F54 9.9626 Tf 99.885 0 Td [(Minimum)-250(and)-250(maximum)-250(r)18(ow)-250(and)-250(column)-250(indices.)]TJ -74.978 -11.955 Td [(T)90(ype:)-310(optional.)]TJ +/F57 9.9626 Tf 99.885 0 Td [(Minimum)-250(and)-250(maximum)-250(r)18(ow)-250(and)-250(column)-250(indices.)]TJ -74.978 -11.955 Td [(T)90(ype:)-310(optional.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.907 -18.75 Td [(rscale,cscale)]TJ +/F54 9.9626 Tf -24.907 -18.75 Td [(rscale,cscale)]TJ 0 g 0 G -/F54 9.9626 Tf 60.025 0 Td [(Whether)-250(to)-250(r)18(escale)-250(r)18(ow/column)-250(indices.)-310(T)90(ype:)-310(optional.)]TJ +/F57 9.9626 Tf 60.025 0 Td [(Whether)-250(to)-250(r)18(escale)-250(r)18(ow/column)-250(indices.)-310(T)90(ype:)-310(optional.)]TJ 0 g 0 G -/F51 9.9626 Tf -60.025 -18.979 Td [(On)-250(Return)]TJ +/F54 9.9626 Tf -60.025 -18.979 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -18.75 Td [(u)]TJ 0 g 0 G -/F54 9.9626 Tf 11.069 0 Td [(A)-250(copy)-250(of)-250(the)-250(upper)-250(triangle)-250(of)]TJ/F59 9.9626 Tf 138.668 0 Td [(a)]TJ/F54 9.9626 Tf 5.23 0 Td [(.)]TJ -130.06 -11.955 Td [(A)-250(variable)-250(of)-250(type)]TJ/F59 9.9626 Tf 81.623 0 Td [(psb_Tspmat_type)]TJ/F54 9.9626 Tf 78.455 0 Td [(.)]TJ +/F57 9.9626 Tf 11.069 0 Td [(A)-250(copy)-250(of)-250(the)-250(upper)-250(triangle)-250(of)]TJ/F62 9.9626 Tf 138.668 0 Td [(a)]TJ/F57 9.9626 Tf 5.23 0 Td [(.)]TJ -130.06 -11.955 Td [(A)-250(variable)-250(of)-250(type)]TJ/F62 9.9626 Tf 81.623 0 Td [(psb_Tspmat_type)]TJ/F57 9.9626 Tf 78.455 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -184.985 -18.75 Td [(l)]TJ +/F54 9.9626 Tf -184.985 -18.75 Td [(l)]TJ 0 g 0 G -/F54 9.9626 Tf 8.299 0 Td [(\050optional\051)-250(A)-250(copy)-250(of)-250(the)-250(lower)-250(triangle)-250(of)]TJ/F59 9.9626 Tf 183.151 0 Td [(a)]TJ/F54 9.9626 Tf 5.23 0 Td [(.)]TJ -171.773 -11.955 Td [(A)-250(variable)-250(of)-250(type)]TJ/F59 9.9626 Tf 81.623 0 Td [(psb_Tspmat_type)]TJ/F54 9.9626 Tf 78.455 0 Td [(.)]TJ +/F57 9.9626 Tf 8.299 0 Td [(\050optional\051)-250(A)-250(copy)-250(of)-250(the)-250(lower)-250(triangle)-250(of)]TJ/F62 9.9626 Tf 183.151 0 Td [(a)]TJ/F57 9.9626 Tf 5.23 0 Td [(.)]TJ -171.773 -11.955 Td [(A)-250(variable)-250(of)-250(type)]TJ/F62 9.9626 Tf 81.623 0 Td [(psb_Tspmat_type)]TJ/F57 9.9626 Tf 78.455 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -184.985 -18.75 Td [(info)]TJ +/F54 9.9626 Tf -184.985 -18.75 Td [(info)]TJ 0 g 0 G -/F54 9.9626 Tf 23.801 0 Td [(Return)-250(code.)]TJ +/F57 9.9626 Tf 23.801 0 Td [(Return)-250(code.)]TJ 0 g 0 G 143.074 -29.888 Td [(23)]TJ 0 g 0 G @@ -7784,73 +7784,73 @@ stream 0 g 0 G 0 g 0 G BT -/F51 9.9626 Tf 150.705 706.129 Td [(3.2.17)-1000(psb)]TJ +/F54 9.9626 Tf 150.705 706.129 Td [(3.2.17)-1000(psb)]TJ ET q 1 0 0 1 202.769 706.328 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 205.758 706.129 Td [(set)]TJ +/F54 9.9626 Tf 205.758 706.129 Td [(set)]TJ ET q 1 0 0 1 219.078 706.328 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 222.067 706.129 Td [(mat)]TJ +/F54 9.9626 Tf 222.067 706.129 Td [(mat)]TJ ET q 1 0 0 1 239.82 706.328 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 242.809 706.129 Td [(default)-250(\227)-250(Set)-250(default)-250(storage)-250(format)]TJ +/F54 9.9626 Tf 242.809 706.129 Td [(default)-250(\227)-250(Set)-250(default)-250(storage)-250(format)]TJ 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG -/F59 9.9626 Tf -92.104 -18.964 Td [(call)]TJ +/F62 9.9626 Tf -92.104 -18.964 Td [(call)]TJ 0 g 0 G [-1050(psb_set_mat_default\050a\051)]TJ 0 g 0 G -/F51 9.9626 Tf 0 -20.183 Td [(T)90(ype:)]TJ +/F54 9.9626 Tf 0 -20.183 Td [(T)90(ype:)]TJ 0 g 0 G -/F54 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ +/F57 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ 0 g 0 G -/F51 9.9626 Tf -29.828 -19.231 Td [(On)-250(Entry)]TJ +/F54 9.9626 Tf -29.828 -19.231 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -19.231 Td [(a)]TJ 0 g 0 G -/F54 9.9626 Tf 9.963 0 Td [(a)-203(variable)-203(of)]TJ +/F57 9.9626 Tf 9.963 0 Td [(a)-203(variable)-203(of)]TJ 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG -/F59 9.9626 Tf 55.42 0 Td [(class)]TJ +/F62 9.9626 Tf 55.42 0 Td [(class)]TJ 0 g 0 G - [(\050psb_T_base_sparse_mat\051)]TJ/F54 9.9626 Tf 148.475 0 Td [(r)18(equesting)-203(a)-204(new)-203(default)-203(stor)18(-)]TJ -188.951 -11.956 Td [(age)-250(format.)]TJ 0 -11.955 Td [(T)90(ype:)-310(r)18(equir)18(ed.)]TJ/F51 9.9626 Tf -24.907 -26.815 Td [(3.2.18)-1000(clone)-250(\227)-250(Clone)-250(current)-250(object)]TJ + [(\050psb_T_base_sparse_mat\051)]TJ/F57 9.9626 Tf 148.475 0 Td [(r)18(equesting)-203(a)-204(new)-203(default)-203(stor)18(-)]TJ -188.951 -11.956 Td [(age)-250(format.)]TJ 0 -11.955 Td [(T)90(ype:)-310(r)18(equir)18(ed.)]TJ/F54 9.9626 Tf -24.907 -26.815 Td [(3.2.18)-1000(clone)-250(\227)-250(Clone)-250(current)-250(object)]TJ 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG -/F59 9.9626 Tf 0 -18.964 Td [(call)]TJ +/F62 9.9626 Tf 0 -18.964 Td [(call)]TJ 0 g 0 G [-1050(a%clone\050b,info\051)]TJ 0 g 0 G -/F51 9.9626 Tf 0 -20.183 Td [(T)90(ype:)]TJ +/F54 9.9626 Tf 0 -20.183 Td [(T)90(ype:)]TJ 0 g 0 G -/F54 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ +/F57 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ 0 g 0 G -/F51 9.9626 Tf -29.828 -19.231 Td [(On)-250(Entry)]TJ +/F54 9.9626 Tf -29.828 -19.231 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -19.231 Td [(a)]TJ 0 g 0 G -/F54 9.9626 Tf 9.963 0 Td [(the)-250(sparse)-250(matrix.)]TJ 14.944 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.431 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ +/F57 9.9626 Tf 9.963 0 Td [(the)-250(sparse)-250(matrix.)]TJ 14.944 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.431 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -77.917 -32.138 Td [(On)-250(Return)]TJ +/F54 9.9626 Tf -77.917 -32.138 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -19.232 Td [(b)]TJ 0 g 0 G -/F54 9.9626 Tf 11.068 0 Td [(A)-250(copy)-250(of)-250(the)-250(input)-250(object.)]TJ +/F57 9.9626 Tf 11.068 0 Td [(A)-250(copy)-250(of)-250(the)-250(input)-250(object.)]TJ 0 g 0 G -/F51 9.9626 Tf -11.068 -19.231 Td [(info)]TJ +/F54 9.9626 Tf -11.068 -19.231 Td [(info)]TJ 0 g 0 G -/F54 9.9626 Tf 23.8 0 Td [(Return)-250(code.)]TJ/F51 9.9626 Tf -23.8 -26.815 Td [(3.2.19)-1000(Named)-250(Constants)]TJ +/F57 9.9626 Tf 23.8 0 Td [(Return)-250(code.)]TJ/F54 9.9626 Tf -23.8 -26.815 Td [(3.2.19)-1000(Named)-250(Constants)]TJ 0 g 0 G 0 -18.964 Td [(psb)]TJ ET @@ -7859,14 +7859,14 @@ q []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 170.889 371.85 Td [(dupl)]TJ +/F54 9.9626 Tf 170.889 371.85 Td [(dupl)]TJ ET q 1 0 0 1 193.066 372.049 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 196.055 371.85 Td [(ovwrt)]TJ +/F54 9.9626 Tf 196.055 371.85 Td [(ovwrt)]TJ ET q 1 0 0 1 223.222 372.049 cm @@ -7874,23 +7874,23 @@ q Q 0 g 0 G BT -/F54 9.9626 Tf 231.193 371.85 Td [(Duplicate)-259(coef)18(\002cients)-259(shou)1(ld)-259(be)-259(overwritten)-259(\050i.e.)-336(ignor)18(e)-259(du-)]TJ -55.582 -11.955 Td [(plications\051)]TJ +/F57 9.9626 Tf 231.193 371.85 Td [(Duplicate)-259(coef)18(\002cients)-259(shou)1(ld)-259(be)-259(overwritten)-259(\050i.e.)-336(ignor)18(e)-259(du-)]TJ -55.582 -11.955 Td [(plications\051)]TJ 0 g 0 G -/F51 9.9626 Tf -24.906 -19.231 Td [(psb)]TJ +/F54 9.9626 Tf -24.906 -19.231 Td [(psb)]TJ ET q 1 0 0 1 167.9 340.863 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 170.889 340.664 Td [(dupl)]TJ +/F54 9.9626 Tf 170.889 340.664 Td [(dupl)]TJ ET q 1 0 0 1 193.066 340.863 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 196.055 340.664 Td [(add)]TJ +/F54 9.9626 Tf 196.055 340.664 Td [(add)]TJ ET q 1 0 0 1 213.808 340.863 cm @@ -7898,23 +7898,23 @@ q Q 0 g 0 G BT -/F54 9.9626 Tf 221.778 340.664 Td [(Duplicate)-250(coef)18(\002cients)-250(should)-250(be)-250(added;)]TJ +/F57 9.9626 Tf 221.778 340.664 Td [(Duplicate)-250(coef)18(\002cients)-250(should)-250(be)-250(added;)]TJ 0 g 0 G -/F51 9.9626 Tf -71.073 -19.232 Td [(psb)]TJ +/F54 9.9626 Tf -71.073 -19.232 Td [(psb)]TJ ET q 1 0 0 1 167.9 321.632 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 170.889 321.432 Td [(dupl)]TJ +/F54 9.9626 Tf 170.889 321.432 Td [(dupl)]TJ ET q 1 0 0 1 193.066 321.632 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 196.055 321.432 Td [(err)]TJ +/F54 9.9626 Tf 196.055 321.432 Td [(err)]TJ ET q 1 0 0 1 209.384 321.632 cm @@ -7922,23 +7922,23 @@ q Q 0 g 0 G BT -/F54 9.9626 Tf 217.355 321.432 Td [(Duplicate)-250(coef)18(\002cients)-250(should)-250(trigger)-250(an)-250(err)18(or)-250(conditino)]TJ +/F57 9.9626 Tf 217.355 321.432 Td [(Duplicate)-250(coef)18(\002cients)-250(should)-250(trigger)-250(an)-250(err)18(or)-250(conditino)]TJ 0 g 0 G -/F51 9.9626 Tf -66.65 -19.231 Td [(psb)]TJ +/F54 9.9626 Tf -66.65 -19.231 Td [(psb)]TJ ET q 1 0 0 1 167.9 302.4 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 170.889 302.201 Td [(upd)]TJ +/F54 9.9626 Tf 170.889 302.201 Td [(upd)]TJ ET q 1 0 0 1 189.748 302.4 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 192.737 302.201 Td [(d\003t)]TJ +/F54 9.9626 Tf 192.737 302.201 Td [(d\003t)]TJ ET q 1 0 0 1 208.827 302.4 cm @@ -7946,23 +7946,23 @@ q Q 0 g 0 G BT -/F54 9.9626 Tf 216.797 302.201 Td [(Default)-250(update)-250(strategy)-250(for)-250(matrix)-250(coef)18(\002cients;)]TJ +/F57 9.9626 Tf 216.797 302.201 Td [(Default)-250(update)-250(strategy)-250(for)-250(matrix)-250(coef)18(\002cients;)]TJ 0 g 0 G -/F51 9.9626 Tf -66.092 -19.231 Td [(psb)]TJ +/F54 9.9626 Tf -66.092 -19.231 Td [(psb)]TJ ET q 1 0 0 1 167.9 283.169 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 170.889 282.97 Td [(upd)]TJ +/F54 9.9626 Tf 170.889 282.97 Td [(upd)]TJ ET q 1 0 0 1 189.748 283.169 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 192.737 282.97 Td [(srch)]TJ +/F54 9.9626 Tf 192.737 282.97 Td [(srch)]TJ ET q 1 0 0 1 212.144 283.169 cm @@ -7970,23 +7970,23 @@ q Q 0 g 0 G BT -/F54 9.9626 Tf 220.114 282.97 Td [(Update)-250(strategy)-250(based)-250(on)-250(sear)18(ch)-250(into)-250(the)-250(data)-250(str)8(uctur)18(e;)]TJ +/F57 9.9626 Tf 220.114 282.97 Td [(Update)-250(strategy)-250(based)-250(on)-250(sear)18(ch)-250(into)-250(the)-250(data)-250(str)8(uctur)18(e;)]TJ 0 g 0 G -/F51 9.9626 Tf -69.409 -19.232 Td [(psb)]TJ +/F54 9.9626 Tf -69.409 -19.232 Td [(psb)]TJ ET q 1 0 0 1 167.9 263.938 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 170.889 263.738 Td [(upd)]TJ +/F54 9.9626 Tf 170.889 263.738 Td [(upd)]TJ ET q 1 0 0 1 189.748 263.938 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 192.737 263.738 Td [(perm)]TJ +/F54 9.9626 Tf 192.737 263.738 Td [(perm)]TJ ET q 1 0 0 1 217.135 263.938 cm @@ -7994,56 +7994,56 @@ q Q 0 g 0 G BT -/F54 9.9626 Tf 225.106 263.738 Td [(Update)-392(strategy)-393(based)-392(on)-393(additional)-392(permutation)-393(data)-392(\050see)]TJ -49.495 -11.955 Td [(tools)-250(r)18(outine)-250(description\051.)]TJ/F51 11.9552 Tf -24.906 -28.807 Td [(3.3)-1000(Dense)-250(V)111(ector)-250(Data)-250(Structure)]TJ/F54 9.9626 Tf 0 -18.964 Td [(The)]TJ/F59 9.9626 Tf 20.094 0 Td [(psb)]TJ +/F57 9.9626 Tf 225.106 263.738 Td [(Update)-392(strategy)-393(based)-392(on)-393(additional)-392(permutation)-393(data)-392(\050see)]TJ -49.495 -11.955 Td [(tools)-250(r)18(outine)-250(description\051.)]TJ/F54 11.9552 Tf -24.906 -28.807 Td [(3.3)-1000(Dense)-250(V)111(ector)-250(Data)-250(Structure)]TJ/F57 9.9626 Tf 0 -18.964 Td [(The)]TJ/F62 9.9626 Tf 20.094 0 Td [(psb)]TJ ET q 1 0 0 1 187.117 204.211 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 190.255 204.012 Td [(T)]TJ +/F62 9.9626 Tf 190.255 204.012 Td [(T)]TJ ET q 1 0 0 1 196.113 204.211 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 199.252 204.012 Td [(vect)]TJ +/F62 9.9626 Tf 199.252 204.012 Td [(vect)]TJ ET q 1 0 0 1 220.801 204.211 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 223.939 204.012 Td [(type)]TJ/F54 9.9626 Tf 24.338 0 Td [(data)-343(str)8(uctur)18(e)-343(encapsulates)-343(the)-343(dense)-343(vectors)-342(in)-343(a)-343(way)]TJ -97.572 -11.955 Td [(similar)-368(to)-368(sparse)-368(matrices,)-397(i.e.)-664(including)-368(a)-368(base)-368(type)]TJ/F59 9.9626 Tf 242.472 0 Td [(psb)]TJ +/F62 9.9626 Tf 223.939 204.012 Td [(type)]TJ/F57 9.9626 Tf 24.338 0 Td [(data)-343(str)8(uctur)18(e)-343(encapsulates)-343(the)-343(dense)-343(vectors)-342(in)-343(a)-343(way)]TJ -97.572 -11.955 Td [(similar)-368(to)-368(sparse)-368(matrices,)-397(i.e.)-664(including)-368(a)-368(base)-368(type)]TJ/F62 9.9626 Tf 242.472 0 Td [(psb)]TJ ET q 1 0 0 1 409.495 192.256 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 412.633 192.057 Td [(T)]TJ +/F62 9.9626 Tf 412.633 192.057 Td [(T)]TJ ET q 1 0 0 1 418.491 192.256 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 421.63 192.057 Td [(base)]TJ +/F62 9.9626 Tf 421.63 192.057 Td [(base)]TJ ET q 1 0 0 1 443.178 192.256 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 446.317 192.057 Td [(vect)]TJ +/F62 9.9626 Tf 446.317 192.057 Td [(vect)]TJ ET q 1 0 0 1 467.866 192.256 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 471.004 192.057 Td [(type)]TJ/F54 9.9626 Tf 20.921 0 Td [(.)]TJ -341.22 -11.956 Td [(The)-263(user)-263(will)-263(not,)-266(in)-263(general,)-267(access)-263(the)-263(vector)-263(components)-263(dir)18(ectly)111(,)-266(but)-263(rather)]TJ 0 -11.955 Td [(via)-222(the)-222(r)18(out)1(ines)-222(of)-222(sec.)]TJ +/F62 9.9626 Tf 471.004 192.057 Td [(type)]TJ/F57 9.9626 Tf 20.921 0 Td [(.)]TJ -341.22 -11.956 Td [(The)-263(user)-263(will)-263(not,)-266(in)-263(general,)-267(access)-263(the)-263(vector)-263(components)-263(dir)18(ectly)111(,)-266(but)-263(rather)]TJ 0 -11.955 Td [(via)-222(the)-222(r)18(out)1(ines)-222(of)-222(sec.)]TJ 0 0 1 rg 0 0 1 RG [-222(6)]TJ 0 g 0 G @@ -8051,7 +8051,7 @@ BT 0 0 1 rg 0 0 1 RG [-311(3)]TJ 0 g 0 G - [-311(wher)18(e)]TJ/F59 9.9626 Tf 217.442 0 Td [(T)]TJ/F54 9.9626 Tf 8.327 0 Td [(is)-311(a)-311(placeholder)-311(for)-310(the)]TJ -240.713 -11.955 Td [(data)-250(type)-250(and)-250(pr)18(ecision)-250(variants)]TJ + [-311(wher)18(e)]TJ/F62 9.9626 Tf 217.442 0 Td [(T)]TJ/F57 9.9626 Tf 8.327 0 Td [(is)-311(a)-311(placeholder)-311(for)-310(the)]TJ -240.713 -11.955 Td [(data)-250(type)-250(and)-250(pr)18(ecision)-250(variants)]TJ 0 g 0 G 166.874 -29.888 Td [(24)]TJ 0 g 0 G @@ -8068,25 +8068,25 @@ stream 0 g 0 G 0 g 0 G BT -/F51 9.9626 Tf 99.895 706.129 Td [(I)]TJ +/F54 9.9626 Tf 99.895 706.129 Td [(I)]TJ 0 g 0 G -/F54 9.9626 Tf 8.857 0 Td [(Integer;)]TJ +/F57 9.9626 Tf 8.857 0 Td [(Integer;)]TJ 0 g 0 G -/F51 9.9626 Tf -8.857 -20.359 Td [(S)]TJ +/F54 9.9626 Tf -8.857 -20.359 Td [(S)]TJ 0 g 0 G -/F54 9.9626 Tf 11.069 0 Td [(Single)-250(pr)18(ecision)-250(r)18(eal;)]TJ +/F57 9.9626 Tf 11.069 0 Td [(Single)-250(pr)18(ecision)-250(r)18(eal;)]TJ 0 g 0 G -/F51 9.9626 Tf -11.069 -20.358 Td [(D)]TJ +/F54 9.9626 Tf -11.069 -20.358 Td [(D)]TJ 0 g 0 G -/F54 9.9626 Tf 13.281 0 Td [(Double)-250(pr)18(ecision)-250(r)18(eal;)]TJ +/F57 9.9626 Tf 13.281 0 Td [(Double)-250(pr)18(ecision)-250(r)18(eal;)]TJ 0 g 0 G -/F51 9.9626 Tf -13.281 -20.359 Td [(C)]TJ +/F54 9.9626 Tf -13.281 -20.359 Td [(C)]TJ 0 g 0 G -/F54 9.9626 Tf 12.175 0 Td [(Single)-250(pr)18(ecision)-250(complex;)]TJ +/F57 9.9626 Tf 12.175 0 Td [(Single)-250(pr)18(ecision)-250(complex;)]TJ 0 g 0 G -/F51 9.9626 Tf -12.175 -20.358 Td [(Z)]TJ +/F54 9.9626 Tf -12.175 -20.358 Td [(Z)]TJ 0 g 0 G -/F54 9.9626 Tf 11.627 0 Td [(Double)-250(pr)18(ecision)-250(complex.)]TJ -11.627 -20.251 Td [(The)-209(actual)-208(data)-209(is)-208(contained)-209(in)-209(the)-208(polymorphic)-209(component)]TJ/F59 9.9626 Tf 261.152 0 Td [(v%v)]TJ/F54 9.9626 Tf 15.691 0 Td [(;)-222(the)-209(separation)]TJ -276.843 -11.955 Td [(between)-353(the)-353(application)-353(and)-353(the)-353(actual)-353(data)-353(is)-353(esse)1(ntial)-353(for)-353(cases)-353(wher)18(e)-353(it)-353(is)]TJ 0 -11.955 Td [(necessary)-321(to)-321(link)-320(to)-321(data)-321(storage)-321(made)-320(available)-321(elsewher)18(e)-321(outside)-320(the)-321(dir)18(ect)]TJ 0 -11.955 Td [(contr)18(ol)-231(of)-231(the)-231(compiler/application,)-235(e.g.)-304(data)-231(stor)18(ed)-231(in)-231(a)-231(graphics)-231(accelerator)-74('s)]TJ 0 -11.955 Td [(private)-250(memory)111(.)]TJ +/F57 9.9626 Tf 11.627 0 Td [(Double)-250(pr)18(ecision)-250(complex.)]TJ -11.627 -20.251 Td [(The)-209(actual)-208(data)-209(is)-208(contained)-209(in)-209(the)-208(polymorphic)-209(component)]TJ/F62 9.9626 Tf 261.152 0 Td [(v%v)]TJ/F57 9.9626 Tf 15.691 0 Td [(;)-222(the)-209(separation)]TJ -276.843 -11.955 Td [(between)-353(the)-353(application)-353(and)-353(the)-353(actual)-353(data)-353(is)-353(esse)1(ntial)-353(for)-353(cases)-353(wher)18(e)-353(it)-353(is)]TJ 0 -11.955 Td [(necessary)-321(to)-321(link)-320(to)-321(data)-321(storage)-321(made)-320(available)-321(elsewher)18(e)-321(outside)-320(the)-321(dir)18(ect)]TJ 0 -11.955 Td [(contr)18(ol)-231(of)-231(the)-231(compiler/application,)-235(e.g.)-304(data)-231(stor)18(ed)-231(in)-231(a)-231(graphics)-231(accelerator)-74('s)]TJ 0 -11.955 Td [(private)-250(memory)111(.)]TJ 0 g 0 G 0.95 0.95 0.95 rg 0.95 0.95 0.95 RG 0.95 0.95 0.95 rg 0.95 0.95 0.95 RG @@ -8099,7 +8099,7 @@ Q 0 g 0 G 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG BT -/F94 8.9664 Tf 112.299 525.005 Td [(type)]TJ +/F97 8.9664 Tf 112.299 525.005 Td [(type)]TJ 0 g 0 G [-525(psb_T_base_vect_type)]TJ 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG @@ -8139,49 +8139,49 @@ BT 0.95 0.95 0.95 rg 0.95 0.95 0.95 RG 0 g 0 G 0 g 0 G -/F54 9.9626 Tf 6.677 -41.429 Td [(Listing)-250(3:)-310(The)-250(PSBLAS)-250(de\002ned)-250(data)-250(type)-250(that)-250(contains)-250(a)-250(dense)-250(vector)74(.)]TJ/F51 9.9626 Tf -19.081 -39.929 Td [(3.3.1)-1000(V)111(ector)-250(Methods)]TJ 0 -19.174 Td [(3.3.2)-1000(get)]TJ +/F57 9.9626 Tf 6.677 -41.429 Td [(Listing)-250(3:)-310(The)-250(PSBLAS)-250(de\002ned)-250(data)-250(type)-250(that)-250(contains)-250(a)-250(dense)-250(vector)74(.)]TJ/F54 9.9626 Tf -19.081 -39.929 Td [(3.3.1)-1000(V)111(ector)-250(Methods)]TJ 0 -19.174 Td [(3.3.2)-1000(get)]TJ ET q 1 0 0 1 144.219 358.919 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 147.208 358.719 Td [(nrows)-250(\227)-250(Get)-250(number)-250(of)-250(rows)-250(in)-250(a)-250(dense)-250(vector)]TJ/F59 9.9626 Tf -47.313 -19.173 Td [(nr)]TJ +/F54 9.9626 Tf 147.208 358.719 Td [(nrows)-250(\227)-250(Get)-250(number)-250(of)-250(rows)-250(in)-250(a)-250(dense)-250(vector)]TJ/F62 9.9626 Tf -47.313 -19.173 Td [(nr)]TJ 0.40 0.40 0.40 rg 0.40 0.40 0.40 RG [-525(=)]TJ 0 g 0 G [-525(v%get_nrows\050\051)]TJ 0 g 0 G -/F51 9.9626 Tf 0 -22.351 Td [(T)90(ype:)]TJ +/F54 9.9626 Tf 0 -22.351 Td [(T)90(ype:)]TJ 0 g 0 G -/F54 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ +/F57 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ 0 g 0 G -/F51 9.9626 Tf -29.828 -20.359 Td [(On)-250(Entry)]TJ +/F54 9.9626 Tf -29.828 -20.359 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -20.358 Td [(v)]TJ 0 g 0 G -/F54 9.9626 Tf 10.521 0 Td [(the)-250(dense)-250(vector)]TJ 14.386 -11.956 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ +/F57 9.9626 Tf 10.521 0 Td [(the)-250(dense)-250(vector)]TJ 14.386 -11.956 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ 0 g 0 G -56.339 -34.198 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -20.358 Td [(Function)-250(value)]TJ 0 g 0 G -/F54 9.9626 Tf 72.777 0 Td [(The)-250(number)-250(of)-250(r)18(ows)-250(of)-250(dense)-250(vector)]TJ/F59 9.9626 Tf 161.273 0 Td [(v)]TJ/F54 9.9626 Tf 5.231 0 Td [(.)]TJ/F51 9.9626 Tf -239.281 -27.757 Td [(3.3.3)-1000(sizeof)-250(\227)-250(Get)-250(memory)-250(occupation)-250(in)-250(bytes)-250(of)-250(a)-250(dense)-250(vector)]TJ/F59 9.9626 Tf 0 -19.174 Td [(memory_size)]TJ +/F57 9.9626 Tf 72.777 0 Td [(The)-250(number)-250(of)-250(r)18(ows)-250(of)-250(dense)-250(vector)]TJ/F62 9.9626 Tf 161.273 0 Td [(v)]TJ/F57 9.9626 Tf 5.231 0 Td [(.)]TJ/F54 9.9626 Tf -239.281 -27.757 Td [(3.3.3)-1000(sizeof)-250(\227)-250(Get)-250(memory)-250(occupation)-250(in)-250(bytes)-250(of)-250(a)-250(dense)-250(vector)]TJ/F62 9.9626 Tf 0 -19.174 Td [(memory_size)]TJ 0.40 0.40 0.40 rg 0.40 0.40 0.40 RG [-525(=)]TJ 0 g 0 G [-525(v%sizeof\050\051)]TJ 0 g 0 G -/F51 9.9626 Tf 0 -22.351 Td [(T)90(ype:)]TJ +/F54 9.9626 Tf 0 -22.351 Td [(T)90(ype:)]TJ 0 g 0 G -/F54 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ +/F57 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ 0 g 0 G -/F51 9.9626 Tf -29.828 -20.358 Td [(On)-250(Entry)]TJ +/F54 9.9626 Tf -29.828 -20.358 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G -/F54 9.9626 Tf 166.875 -29.888 Td [(25)]TJ +/F57 9.9626 Tf 166.875 -29.888 Td [(25)]TJ 0 g 0 G ET @@ -8196,18 +8196,18 @@ stream 0 g 0 G 0 g 0 G BT -/F51 9.9626 Tf 150.705 706.129 Td [(v)]TJ +/F54 9.9626 Tf 150.705 706.129 Td [(v)]TJ 0 g 0 G -/F54 9.9626 Tf 10.52 0 Td [(the)-250(dense)-250(vector)]TJ 14.386 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ +/F57 9.9626 Tf 10.52 0 Td [(the)-250(dense)-250(vector)]TJ 14.386 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ 0 g 0 G -56.338 -36.868 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -23.918 Td [(Function)-250(value)]TJ 0 g 0 G -/F54 9.9626 Tf 72.776 0 Td [(The)-250(memory)-250(occupation)-250(in)-250(bytes.)]TJ/F51 9.9626 Tf -72.776 -32.82 Td [(3.3.4)-1000(set)-250(\227)-250(Set)-250(contents)-250(of)-250(the)-250(vector)]TJ +/F57 9.9626 Tf 72.776 0 Td [(The)-250(memory)-250(occupation)-250(in)-250(bytes.)]TJ/F54 9.9626 Tf -72.776 -32.82 Td [(3.3.4)-1000(set)-250(\227)-250(Set)-250(contents)-250(of)-250(the)-250(vector)]TJ 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG -/F59 9.9626 Tf 5.23 -20.898 Td [(call)]TJ +/F62 9.9626 Tf 5.23 -20.898 Td [(call)]TJ 0 g 0 G [-1050(v%set\050alpha[,first,last]\051)]TJ 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG @@ -8219,45 +8219,45 @@ BT 0 g 0 G [-1050(v%zero\050\051)]TJ 0 g 0 G -/F51 9.9626 Tf -5.23 -24.913 Td [(T)90(ype:)]TJ +/F54 9.9626 Tf -5.23 -24.913 Td [(T)90(ype:)]TJ 0 g 0 G -/F54 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ +/F57 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ 0 g 0 G -/F51 9.9626 Tf -29.828 -23.918 Td [(On)-250(Entry)]TJ +/F54 9.9626 Tf -29.828 -23.918 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -23.918 Td [(v)]TJ 0 g 0 G -/F54 9.9626 Tf 10.52 0 Td [(the)-250(dense)-250(vector)]TJ 14.386 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ +/F57 9.9626 Tf 10.52 0 Td [(the)-250(dense)-250(vector)]TJ 14.386 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ 0 g 0 G -56.338 -35.873 Td [(alpha)]TJ 0 g 0 G -/F54 9.9626 Tf 30.436 0 Td [(A)-250(scalar)-250(value.)]TJ -5.53 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(required)]TJ/F54 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(in)]TJ/F54 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.956 Td [(Speci\002ed)-250(as:)-310(a)-250(number)-250(of)-250(the)-250(data)-250(type)-250(indicated)-250(in)-250(T)92(able)]TJ +/F57 9.9626 Tf 30.436 0 Td [(A)-250(scalar)-250(value.)]TJ -5.53 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.089 0 Td [(required)]TJ/F57 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(in)]TJ/F57 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.956 Td [(Speci\002ed)-250(as:)-310(a)-250(number)-250(of)-250(the)-250(data)-250(type)-250(indicated)-250(in)-250(T)92(able)]TJ 0 0 1 rg 0 0 1 RG [-250(1)]TJ 0 g 0 G [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.906 -23.918 Td [(\002rst,last)]TJ +/F54 9.9626 Tf -24.906 -23.918 Td [(\002rst,last)]TJ 0 g 0 G -/F54 9.9626 Tf 41.215 0 Td [(Boundaries)-250(for)-250(setting)-250(in)-250(the)-250(vector)74(.)]TJ -16.309 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(optional)]TJ/F54 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(in)]TJ/F54 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(integers.)]TJ +/F57 9.9626 Tf 41.215 0 Td [(Boundaries)-250(for)-250(setting)-250(in)-250(the)-250(vector)74(.)]TJ -16.309 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.089 0 Td [(optional)]TJ/F57 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(in)]TJ/F57 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(integers.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.906 -23.918 Td [(vect)]TJ +/F54 9.9626 Tf -24.906 -23.918 Td [(vect)]TJ 0 g 0 G -/F54 9.9626 Tf 23.242 0 Td [(An)-250(array)]TJ 1.664 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.956 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(required)]TJ/F54 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(in)]TJ/F54 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(number)-250(of)-250(the)-250(data)-250(type)-250(indicated)-250(in)-250(T)92(able)]TJ +/F57 9.9626 Tf 23.242 0 Td [(An)-250(array)]TJ 1.664 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.956 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.089 0 Td [(required)]TJ/F57 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(in)]TJ/F57 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(number)-250(of)-250(the)-250(data)-250(type)-250(indicated)-250(in)-250(T)92(able)]TJ 0 0 1 rg 0 0 1 RG [-250(1)]TJ 0 g 0 G - [(.)]TJ -24.906 -25.91 Td [(Note)-336(that)-336(a)-335(call)-336(to)]TJ/F59 9.9626 Tf 84.614 0 Td [(v%zero\050\051)]TJ/F54 9.9626 Tf 45.189 0 Td [(is)-336(pr)18(ovided)-336(as)-335(a)-336(shorthand,)-358(but)-335(is)-336(equivalent)-336(to)]TJ -129.803 -11.956 Td [(a)-270(call)-270(to)]TJ/F59 9.9626 Tf 36.947 0 Td [(v%set\050zero\051)]TJ/F54 9.9626 Tf 60.225 0 Td [(with)-270(the)]TJ/F59 9.9626 Tf 39.456 0 Td [(zero)]TJ/F54 9.9626 Tf 23.613 0 Td [(constant)-270(having)-270(the)-271(appr)18(opriat)1(e)-271(type)-270(and)]TJ -160.241 -11.955 Td [(kind.)]TJ + [(.)]TJ -24.906 -25.91 Td [(Note)-336(that)-336(a)-335(call)-336(to)]TJ/F62 9.9626 Tf 84.614 0 Td [(v%zero\050\051)]TJ/F57 9.9626 Tf 45.189 0 Td [(is)-336(pr)18(ovided)-336(as)-335(a)-336(shorthand,)-358(but)-335(is)-336(equivalent)-336(to)]TJ -129.803 -11.956 Td [(a)-270(call)-270(to)]TJ/F62 9.9626 Tf 36.947 0 Td [(v%set\050zero\051)]TJ/F57 9.9626 Tf 60.225 0 Td [(with)-270(the)]TJ/F62 9.9626 Tf 39.456 0 Td [(zero)]TJ/F57 9.9626 Tf 23.613 0 Td [(constant)-270(having)-270(the)-271(appr)18(opriat)1(e)-271(type)-270(and)]TJ -160.241 -11.955 Td [(kind.)]TJ 0 g 0 G -/F51 9.9626 Tf 0 -25.91 Td [(On)-250(Return)]TJ +/F54 9.9626 Tf 0 -25.91 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -23.918 Td [(v)]TJ 0 g 0 G -/F54 9.9626 Tf 10.52 0 Td [(the)-250(dense)-250(vector)74(,)-250(with)-250(updated)-250(entries)]TJ 14.386 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ +/F57 9.9626 Tf 10.52 0 Td [(the)-250(dense)-250(vector)74(,)-250(with)-250(updated)-250(entries)]TJ 14.386 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ 0 g 0 G -/F54 9.9626 Tf 110.536 -41.843 Td [(26)]TJ +/F57 9.9626 Tf 110.536 -41.843 Td [(26)]TJ 0 g 0 G ET @@ -8271,82 +8271,82 @@ stream 0 g 0 G 0 g 0 G BT -/F51 9.9626 Tf 99.895 706.129 Td [(3.3.5)-1000(get)]TJ +/F54 9.9626 Tf 99.895 706.129 Td [(3.3.5)-1000(get)]TJ ET q 1 0 0 1 144.219 706.328 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 147.208 706.129 Td [(vect)-250(\227)-250(Get)-250(a)-250(copy)-250(of)-250(the)-250(vector)-250(contents)]TJ +/F54 9.9626 Tf 147.208 706.129 Td [(vect)-250(\227)-250(Get)-250(a)-250(copy)-250(of)-250(the)-250(vector)-250(contents)]TJ 0 g 0 G 0 g 0 G -/F59 9.9626 Tf -47.313 -19.66 Td [(extv)-525(=)-525(v%get_vect\050[n]\051)]TJ +/F62 9.9626 Tf -47.313 -19.66 Td [(extv)-525(=)-525(v%get_vect\050[n]\051)]TJ 0 g 0 G -/F51 9.9626 Tf 0 -22.994 Td [(T)90(ype:)]TJ +/F54 9.9626 Tf 0 -22.994 Td [(T)90(ype:)]TJ 0 g 0 G -/F54 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ +/F57 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ 0 g 0 G -/F51 9.9626 Tf -29.828 -21.362 Td [(On)-250(Entry)]TJ +/F54 9.9626 Tf -29.828 -21.362 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -21.361 Td [(v)]TJ 0 g 0 G -/F54 9.9626 Tf 10.521 0 Td [(the)-250(dense)-250(vector)]TJ 14.386 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ +/F57 9.9626 Tf 10.521 0 Td [(the)-250(dense)-250(vector)]TJ 14.386 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ 0 g 0 G -56.339 -33.316 Td [(n)]TJ 0 g 0 G -/F54 9.9626 Tf 11.069 0 Td [(Size)-250(to)-250(be)-250(r)18(eturned)]TJ 13.838 -11.956 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -53.011 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(optional)]TJ/F54 9.9626 Tf 38.187 0 Td [(;)-250(default:)-310(entir)18(e)-250(vector)74(.)]TJ +/F57 9.9626 Tf 11.069 0 Td [(Size)-250(to)-250(be)-250(r)18(eturned)]TJ 13.838 -11.956 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ -53.011 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(optional)]TJ/F57 9.9626 Tf 38.187 0 Td [(;)-250(default:)-310(entir)18(e)-250(vector)74(.)]TJ 0 g 0 G -/F51 9.9626 Tf -90.182 -34.95 Td [(On)-250(Return)]TJ +/F54 9.9626 Tf -90.182 -34.95 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -21.361 Td [(Function)-250(value)]TJ 0 g 0 G -/F54 9.9626 Tf 72.777 0 Td [(An)-316(allocatable)-316(array)-316(holding)-316(a)-317(copy)-316(of)-316(the)-316(dense)-316(vector)-316(con-)]TJ -47.87 -11.955 Td [(tents.)-321(If)-254(the)-254(ar)18(gument)]TJ/F52 9.9626 Tf 98.086 0 Td [(n)]TJ/F54 9.9626 Tf 8.192 0 Td [(is)-254(speci\002ed,)-255(the)-253(size)-254(of)-254(the)-254(r)18(eturned)-254(array)-253(equals)]TJ -106.278 -11.955 Td [(the)-339(minimum)-339(between)]TJ/F52 9.9626 Tf 105.247 0 Td [(n)]TJ/F54 9.9626 Tf 9.041 0 Td [(and)-339(the)-339(internal)-339(size)-339(of)-339(the)-339(vector)74(,)-361(or)-339(0)-339(if)]TJ/F52 9.9626 Tf 188.353 0 Td [(n)]TJ/F54 9.9626 Tf 9.04 0 Td [(is)]TJ -311.681 -11.956 Td [(negative;)-314(otherwise,)-303(the)-292(size)-293(of)-292(the)-293(array)-292(is)-293(the)-292(same)-293(as)-292(the)-293(internal)-292(size)]TJ 0 -11.955 Td [(of)-250(the)-250(vector)74(.)]TJ/F51 9.9626 Tf -24.907 -29.183 Td [(3.3.6)-1000(clone)-250(\227)-250(Clone)-250(current)-250(object)]TJ +/F57 9.9626 Tf 72.777 0 Td [(An)-316(allocatable)-316(array)-316(holding)-316(a)-317(copy)-316(of)-316(the)-316(dense)-316(vector)-316(con-)]TJ -47.87 -11.955 Td [(tents.)-321(If)-254(the)-254(ar)18(gument)]TJ/F55 9.9626 Tf 98.086 0 Td [(n)]TJ/F57 9.9626 Tf 8.192 0 Td [(is)-254(speci\002ed,)-255(the)-253(size)-254(of)-254(the)-254(r)18(eturned)-254(array)-253(equals)]TJ -106.278 -11.955 Td [(the)-339(minimum)-339(between)]TJ/F55 9.9626 Tf 105.247 0 Td [(n)]TJ/F57 9.9626 Tf 9.041 0 Td [(and)-339(the)-339(internal)-339(size)-339(of)-339(the)-339(vector)74(,)-361(or)-339(0)-339(if)]TJ/F55 9.9626 Tf 188.353 0 Td [(n)]TJ/F57 9.9626 Tf 9.04 0 Td [(is)]TJ -311.681 -11.956 Td [(negative;)-314(otherwise,)-303(the)-292(size)-293(of)-292(the)-293(array)-292(is)-293(the)-292(same)-293(as)-292(the)-293(internal)-292(size)]TJ 0 -11.955 Td [(of)-250(the)-250(vector)74(.)]TJ/F54 9.9626 Tf -24.907 -29.183 Td [(3.3.6)-1000(clone)-250(\227)-250(Clone)-250(current)-250(object)]TJ 0 g 0 G 0 g 0 G -/F59 9.9626 Tf 0 -19.659 Td [(call)-1050(x%clone\050y,info\051)]TJ +/F62 9.9626 Tf 0 -19.659 Td [(call)-1050(x%clone\050y,info\051)]TJ 0 g 0 G -/F51 9.9626 Tf 0 -22.995 Td [(T)90(ype:)]TJ +/F54 9.9626 Tf 0 -22.995 Td [(T)90(ype:)]TJ 0 g 0 G -/F54 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ +/F57 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ 0 g 0 G -/F51 9.9626 Tf -29.828 -21.361 Td [(On)-250(Entry)]TJ +/F54 9.9626 Tf -29.828 -21.361 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -21.362 Td [(x)]TJ 0 g 0 G -/F54 9.9626 Tf 9.963 0 Td [(the)-250(dense)-250(vector)74(.)]TJ 14.944 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ +/F57 9.9626 Tf 9.963 0 Td [(the)-250(dense)-250(vector)74(.)]TJ 14.944 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -77.918 -34.95 Td [(On)-250(Return)]TJ +/F54 9.9626 Tf -77.918 -34.95 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -21.361 Td [(y)]TJ 0 g 0 G -/F54 9.9626 Tf 10.521 0 Td [(A)-250(copy)-250(of)-250(the)-250(input)-250(object.)]TJ +/F57 9.9626 Tf 10.521 0 Td [(A)-250(copy)-250(of)-250(the)-250(input)-250(object.)]TJ 0 g 0 G -/F51 9.9626 Tf -10.521 -21.361 Td [(info)]TJ +/F54 9.9626 Tf -10.521 -21.361 Td [(info)]TJ 0 g 0 G -/F54 9.9626 Tf 23.801 0 Td [(Return)-250(code.)]TJ/F51 11.9552 Tf -23.801 -31.176 Td [(3.4)-1000(Preconditioner)-250(data)-250(structure)]TJ/F54 9.9626 Tf 0 -19.659 Td [(Our)-396(base)-397(l)1(ibrary)-397(of)18(fers)-396(support)-396(for)-396(simple)-397(well)-396(known)-396(pr)18(econditioners)-396(like)]TJ 0 -11.956 Td [(Diagonal)-250(Scaling)-250(or)-250(Block)-250(Jacobi)-250(with)-250(incomplete)-250(factorization)-250(ILU\0500\051.)]TJ 14.944 -12.314 Td [(A)-361(pr)18(econditioner)-361(is)-361(held)-361(in)-361(the)]TJ/F59 9.9626 Tf 143.781 0 Td [(psb)]TJ +/F57 9.9626 Tf 23.801 0 Td [(Return)-250(code.)]TJ/F54 11.9552 Tf -23.801 -31.176 Td [(3.4)-1000(Preconditioner)-250(data)-250(structure)]TJ/F57 9.9626 Tf 0 -19.659 Td [(Our)-396(base)-397(l)1(ibrary)-397(of)18(fers)-396(support)-396(for)-396(simple)-397(well)-396(known)-396(pr)18(econditioners)-396(like)]TJ 0 -11.956 Td [(Diagonal)-250(Scaling)-250(or)-250(Block)-250(Jacobi)-250(with)-250(incomplete)-250(factorization)-250(ILU\0500\051.)]TJ 14.944 -12.314 Td [(A)-361(pr)18(econditioner)-361(is)-361(held)-361(in)-361(the)]TJ/F62 9.9626 Tf 143.781 0 Td [(psb)]TJ ET q 1 0 0 1 274.939 168.346 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 278.077 168.146 Td [(prec)]TJ +/F62 9.9626 Tf 278.077 168.146 Td [(prec)]TJ ET q 1 0 0 1 299.626 168.346 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 302.764 168.146 Td [(type)]TJ/F54 9.9626 Tf 24.519 0 Td [(data)-361(str)8(uctur)18(e)-361(r)18(eported)-361(in)]TJ -227.388 -11.955 Td [(\002gur)18(e)]TJ +/F62 9.9626 Tf 302.764 168.146 Td [(type)]TJ/F57 9.9626 Tf 24.519 0 Td [(data)-361(str)8(uctur)18(e)-361(r)18(eported)-361(in)]TJ -227.388 -11.955 Td [(\002gur)18(e)]TJ 0 0 1 rg 0 0 1 RG [-282(4)]TJ 0 g 0 G - [(.)-407(The)]TJ/F59 9.9626 Tf 59.933 0 Td [(psb_prec_type)]TJ/F54 9.9626 Tf 70.808 0 Td 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-29.888 Td [(27)]TJ 0 g 0 G @@ -8372,7 +8372,7 @@ Q 0 g 0 G 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG BT -/F94 8.9664 Tf 163.108 699.454 Td [(type)]TJ +/F97 8.9664 Tf 163.108 699.454 Td [(type)]TJ 0 g 0 G [-525(psb_Tprec_type)]TJ 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG @@ -8393,85 +8393,85 @@ BT 0.95 0.95 0.95 rg 0.95 0.95 0.95 RG 0 g 0 G 0 g 0 G -/F54 9.9626 Tf 1.845 -41.429 Td [(Listing)-250(4:)-310(The)-250(PSBLAS)-250(de\002ned)-250(data)-250(type)-250(that)-250(contains)-250(a)-250(pr)18(econditioner)74(.)]TJ/F51 11.9552 Tf -14.248 -32.698 Td [(3.5)-1000(Heap)-250(data)-250(structure)]TJ/F54 9.9626 Tf 0 -18.964 Td [(Among)-310(the)-311(tools)-310(r)18(outines)-310(of)-310(sec.)]TJ +/F57 9.9626 Tf 1.845 -41.429 Td [(Listing)-250(4:)-310(The)-250(PSBLAS)-250(de\002ned)-250(data)-250(type)-250(that)-250(contains)-250(a)-250(pr)18(econditioner)74(.)]TJ/F54 11.9552 Tf -14.248 -32.698 Td [(3.5)-1000(Heap)-250(data)-250(structure)]TJ/F57 9.9626 Tf 0 -18.964 Td 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[(Scope:)]TJ/F51 9.9626 Tf 31.431 0 Td [(local)]TJ/F54 9.9626 Tf -31.431 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-207(as:)-289(a)-208(rank)-207(one)-208(o)1(r)-208(two)-207(array)-208(or)-207(an)-208(object)-207(of)-208(type)]TJ +/F57 9.9626 Tf 9.963 0 Td [(the)-250(local)-250(portion)-250(of)-250(global)-250(dense)-250(matrix)]TJ/F55 9.9626 Tf 175.614 0 Td [(x)]TJ/F57 9.9626 Tf 5.205 0 Td [(.)]TJ -165.875 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.431 0 Td [(local)]TJ/F57 9.9626 Tf -31.431 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-207(as:)-289(a)-208(rank)-207(one)-208(o)1(r)-208(two)-207(array)-208(or)-207(an)-208(object)-207(of)-208(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 244.743 0 Td [(psb)]TJ +/F62 9.9626 Tf 244.743 0 Td [(psb)]TJ ET q 1 0 0 1 436.673 349.068 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 439.811 348.869 Td [(T)]TJ +/F62 9.9626 Tf 439.811 348.869 Td [(T)]TJ ET q 1 0 0 1 445.669 349.068 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 448.807 348.869 Td [(vect)]TJ +/F62 9.9626 Tf 448.807 348.869 Td [(vect)]TJ ET q 1 0 0 1 470.356 349.068 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 473.495 348.869 Td [(type)]TJ +/F62 9.9626 Tf 473.495 348.869 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf -297.884 -11.955 Td [(containing)-312(numbers)-311(of)-312(type)-311(speci\002ed)-312(in)-311(T)92(able)]TJ +/F57 9.9626 Tf -297.884 -11.955 Td [(containing)-312(numbers)-311(of)-312(type)-311(speci\002ed)-312(in)-311(T)92(able)]TJ 0 0 1 rg 0 0 1 RG [-312(1)]TJ 0 g 0 G - [(.)-494(The)-312(rank)-312(of)]TJ/F52 9.9626 Tf 274.834 0 Td [(x)]TJ/F54 9.9626 Tf 8.31 0 Td [(must)-311(be)]TJ -283.144 -11.955 Td [(the)-250(same)-250(of)]TJ/F52 9.9626 Tf 52.946 0 Td [(y)]TJ/F54 9.9626 Tf 5.106 0 Td [(.)]TJ + [(.)-494(The)-312(rank)-312(of)]TJ/F55 9.9626 Tf 274.834 0 Td [(x)]TJ/F57 9.9626 Tf 8.31 0 Td [(must)-311(be)]TJ -283.144 -11.955 Td [(the)-250(same)-250(of)]TJ/F55 9.9626 Tf 52.946 0 Td [(y)]TJ/F57 9.9626 Tf 5.106 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -82.958 -20.391 Td [(beta)]TJ +/F54 9.9626 Tf -82.958 -20.391 Td [(beta)]TJ 0 g 0 G -/F54 9.9626 Tf 24.348 0 Td [(the)-250(scalar)]TJ/F60 9.9626 Tf 44.618 0 Td [(b)]TJ/F54 9.9626 Tf 5.524 0 Td [(.)]TJ -49.584 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(global)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(required)]TJ/F54 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(in)]TJ/F54 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(number)-250(of)-250(the)-250(data)-250(type)-250(indicated)-250(in)-250(T)92(able)]TJ +/F57 9.9626 Tf 24.348 0 Td [(the)-250(scalar)]TJ/F63 9.9626 Tf 44.618 0 Td [(b)]TJ/F57 9.9626 Tf 5.524 0 Td [(.)]TJ -49.584 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(global)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.089 0 Td [(required)]TJ/F57 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(in)]TJ/F57 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(number)-250(of)-250(the)-250(data)-250(type)-250(indicated)-250(in)-250(T)92(able)]TJ 0 0 1 rg 0 0 1 RG [-250(1)]TJ 0 g 0 G [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.906 -20.391 Td [(y)]TJ +/F54 9.9626 Tf -24.906 -20.391 Td [(y)]TJ 0 g 0 G -/F54 9.9626 Tf 10.52 0 Td [(the)-250(local)-250(portion)-250(of)-250(the)-250(global)-250(dense)-250(matrix)]TJ/F52 9.9626 Tf 191.754 0 Td [(y)]TJ/F54 9.9626 Tf 5.105 0 Td [(.)]TJ -182.473 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(required)]TJ/F54 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(inout)]TJ/F54 9.9626 Tf 24.348 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-207(as:)-289(a)-208(rank)-207(one)-208(or)-207(two)-207(array)-208(or)-207(an)-208(object)-207(of)-208(type)]TJ +/F57 9.9626 Tf 10.52 0 Td [(the)-250(local)-250(portion)-250(of)-250(the)-250(global)-250(dense)-250(matrix)]TJ/F55 9.9626 Tf 191.754 0 Td [(y)]TJ/F57 9.9626 Tf 5.105 0 Td [(.)]TJ -182.473 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.089 0 Td [(required)]TJ/F57 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(inout)]TJ/F57 9.9626 Tf 24.348 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-207(as:)-289(a)-208(rank)-207(one)-208(or)-207(two)-207(array)-208(or)-207(an)-208(object)-207(of)-208(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 244.743 0 Td [(psb)]TJ +/F62 9.9626 Tf 244.743 0 Td [(psb)]TJ ET q 1 0 0 1 436.673 188.736 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 439.811 188.537 Td [(T)]TJ +/F62 9.9626 Tf 439.811 188.537 Td [(T)]TJ ET q 1 0 0 1 445.669 188.736 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 448.807 188.537 Td [(vect)]TJ +/F62 9.9626 Tf 448.807 188.537 Td [(vect)]TJ ET q 1 0 0 1 470.356 188.736 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 473.495 188.537 Td [(type)]TJ +/F62 9.9626 Tf 473.495 188.537 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf -297.884 -11.956 Td [(containing)-276(numbers)-277(of)-276(the)-276(type)-276(indicated)-277(in)-276(T)92(able)]TJ +/F57 9.9626 Tf -297.884 -11.956 Td [(containing)-276(numbers)-277(of)-276(the)-276(type)-276(indicated)-277(in)-276(T)92(able)]TJ 0 0 1 rg 0 0 1 RG [-276(1)]TJ 0 g 0 G - [(.)-389(The)-276(rank)-277(of)]TJ/F52 9.9626 Tf 288.67 0 Td [(y)]TJ/F54 9.9626 Tf 7.859 0 Td [(must)]TJ -296.529 -11.955 Td [(be)-250(the)-250(same)-250(of)]TJ/F52 9.9626 Tf 65.888 0 Td [(x)]TJ/F54 9.9626 Tf 5.205 0 Td [(.)]TJ + [(.)-389(The)-276(rank)-277(of)]TJ/F55 9.9626 Tf 288.67 0 Td [(y)]TJ/F57 9.9626 Tf 7.859 0 Td [(must)]TJ -296.529 -11.955 Td [(be)-250(the)-250(same)-250(of)]TJ/F55 9.9626 Tf 65.888 0 Td [(x)]TJ/F57 9.9626 Tf 5.205 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -95.999 -20.39 Td [(desc)]TJ +/F54 9.9626 Tf -95.999 -20.39 Td [(desc)]TJ ET q 1 0 0 1 171.218 144.435 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 174.207 144.236 Td [(a)]TJ +/F54 9.9626 Tf 174.207 144.236 Td [(a)]TJ 0 g 0 G -/F54 9.9626 Tf 9.962 0 Td [(contains)-250(data)-250(str)8(uctur)18(es)-250(for)-250(communications.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(required)]TJ +/F57 9.9626 Tf 9.962 0 Td [(contains)-250(data)-250(str)8(uctur)18(es)-250(for)-250(communications.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.089 0 Td [(required)]TJ 0 g 0 G -/F54 9.9626 Tf 114.879 -29.888 Td [(30)]TJ +/F57 9.9626 Tf 114.879 -29.888 Td [(30)]TJ 0 g 0 G ET @@ -9222,65 +9222,65 @@ stream 0 g 0 G 0 g 0 G BT -/F54 9.9626 Tf 124.802 706.129 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(object)-250(of)-250(type)]TJ +/F57 9.9626 Tf 124.802 706.129 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(object)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 132.243 0 Td [(psb)]TJ +/F62 9.9626 Tf 132.243 0 Td [(psb)]TJ ET q 1 0 0 1 273.363 694.373 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 276.501 694.174 Td [(desc)]TJ +/F62 9.9626 Tf 276.501 694.174 Td [(desc)]TJ ET q 1 0 0 1 298.05 694.373 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 301.189 694.174 Td [(type)]TJ +/F62 9.9626 Tf 301.189 694.174 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf 20.921 0 Td [(.)]TJ +/F57 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -222.215 -21.918 Td [(On)-250(Return)]TJ +/F54 9.9626 Tf -222.215 -21.918 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -19.925 Td [(y)]TJ 0 g 0 G -/F54 9.9626 Tf 10.521 0 Td [(the)-250(local)-250(portion)-250(of)-250(r)18(esult)-250(submatrix)]TJ/F52 9.9626 Tf 160.68 0 Td [(y)]TJ/F54 9.9626 Tf 5.106 0 Td [(.)]TJ -151.4 -11.956 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(inout)]TJ/F54 9.9626 Tf 24.349 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-207(as:)-289(a)-208(rank)-207(one)-208(or)-207(two)-207(array)-208(or)-207(an)-208(object)-207(of)-208(type)]TJ +/F57 9.9626 Tf 10.521 0 Td [(the)-250(local)-250(portion)-250(of)-250(r)18(esult)-250(submatrix)]TJ/F55 9.9626 Tf 160.68 0 Td [(y)]TJ/F57 9.9626 Tf 5.106 0 Td [(.)]TJ -151.4 -11.956 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(inout)]TJ/F57 9.9626 Tf 24.349 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-207(as:)-289(a)-208(rank)-207(one)-208(or)-207(two)-207(array)-208(or)-207(an)-208(object)-207(of)-208(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 244.743 0 Td [(psb)]TJ +/F62 9.9626 Tf 244.743 0 Td [(psb)]TJ ET q 1 0 0 1 385.864 604.709 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 389.002 604.51 Td [(T)]TJ +/F62 9.9626 Tf 389.002 604.51 Td [(T)]TJ ET q 1 0 0 1 394.86 604.709 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 397.998 604.51 Td [(vect)]TJ +/F62 9.9626 Tf 397.998 604.51 Td [(vect)]TJ ET q 1 0 0 1 419.547 604.709 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 422.685 604.51 Td [(type)]TJ +/F62 9.9626 Tf 422.685 604.51 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf -297.883 -11.955 Td [(containing)-250(numbers)-250(of)-250(the)-250(type)-250(indicated)-250(in)-250(T)92(able)]TJ +/F57 9.9626 Tf -297.883 -11.955 Td [(containing)-250(numbers)-250(of)-250(the)-250(type)-250(indicated)-250(in)-250(T)92(able)]TJ 0 0 1 rg 0 0 1 RG [-250(1)]TJ 0 g 0 G [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.907 -19.925 Td [(info)]TJ +/F54 9.9626 Tf -24.907 -19.925 Td [(info)]TJ 0 g 0 G -/F54 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.956 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ +/F57 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.956 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(out)]TJ/F57 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ 0 g 0 G 141.968 -434.371 Td [(31)]TJ 0 g 0 G @@ -9296,14 +9296,14 @@ stream 0 g 0 G 0 g 0 G BT -/F51 11.9552 Tf 150.705 706.129 Td [(4.2)-1000(psb)]TJ +/F54 11.9552 Tf 150.705 706.129 Td [(4.2)-1000(psb)]TJ ET q 1 0 0 1 198.238 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F51 11.9552 Tf 201.825 706.129 Td [(gedot)-250(\227)-250(Dot)-250(Product)]TJ/F54 9.9626 Tf -51.12 -18.976 Td [(This)-250(function)-250(computes)-250(dot)-250(pr)18(oduct)-250(between)-250(two)-250(vectors)]TJ/F52 9.9626 Tf 254.647 0 Td [(x)]TJ/F54 9.9626 Tf 7.696 0 Td [(and)]TJ/F52 9.9626 Tf 19.481 0 Td [(y)]TJ/F54 9.9626 Tf 5.106 0 Td [(.)]TJ -286.93 -11.955 Td [(If)]TJ/F52 9.9626 Tf 9.459 0 Td [(x)]TJ/F54 9.9626 Tf 7.696 0 Td [(and)]TJ/F52 9.9626 Tf 19.482 0 Td [(y)]TJ/F54 9.9626 Tf 7.597 0 Td [(ar)18(e)-250(r)18(eal)-250(vectors)-250(it)-250(computes)-250(dot-pr)18(oduct)-250(as:)]TJ/F52 9.9626 Tf 104.717 -23.132 Td [(d)-25(o)-35(t)]TJ/F83 10.3811 Tf 16.337 0 Td [(\040)]TJ/F52 9.9626 Tf 13.566 0 Td [(x)]TJ/F52 7.5716 Tf 5.399 4.115 Td [(T)]TJ/F52 9.9626 Tf 5.525 -4.115 Td [(y)]TJ/F54 9.9626 Tf -189.778 -21.93 Td [(Else)-250(if)]TJ/F52 9.9626 Tf 29.474 0 Td [(x)]TJ/F54 9.9626 Tf 7.696 0 Td [(and)]TJ/F52 9.9626 Tf 19.482 0 Td [(y)]TJ/F54 9.9626 Tf 7.596 0 Td [(ar)18(e)-250(complex)-250(vectors)-250(then)-250(it)-250(computes)-250(dot-pr)18(oduct)-250(as:)]TJ/F52 9.9626 Tf 83.965 -23.132 Td [(d)-25(o)-35(t)]TJ/F83 10.3811 Tf 16.336 0 Td [(\040)]TJ/F52 9.9626 Tf 13.567 0 Td [(x)]TJ/F52 7.5716 Tf 5.588 4.115 Td [(H)]TJ/F52 9.9626 Tf 6.812 -4.115 Td [(y)]TJ/F59 9.9626 Tf -175.572 -21.937 Td [(psb_gedot\050x,)-525(y,)-525(desc_a,)-525(info)-525([,global]\051)]TJ +/F54 11.9552 Tf 201.825 706.129 Td [(gedot)-250(\227)-250(Dot)-250(Product)]TJ/F57 9.9626 Tf -51.12 -18.976 Td [(This)-250(function)-250(computes)-250(dot)-250(pr)18(oduct)-250(between)-250(two)-250(vectors)]TJ/F55 9.9626 Tf 254.647 0 Td [(x)]TJ/F57 9.9626 Tf 7.696 0 Td [(and)]TJ/F55 9.9626 Tf 19.481 0 Td [(y)]TJ/F57 9.9626 Tf 5.106 0 Td [(.)]TJ -286.93 -11.955 Td [(If)]TJ/F55 9.9626 Tf 9.459 0 Td [(x)]TJ/F57 9.9626 Tf 7.696 0 Td [(and)]TJ/F55 9.9626 Tf 19.482 0 Td [(y)]TJ/F57 9.9626 Tf 7.597 0 Td [(ar)18(e)-250(r)18(eal)-250(vectors)-250(it)-250(computes)-250(dot-pr)18(oduct)-250(as:)]TJ/F55 9.9626 Tf 104.717 -23.132 Td [(d)-25(o)-35(t)]TJ/F86 10.3811 Tf 16.337 0 Td [(\040)]TJ/F55 9.9626 Tf 13.566 0 Td [(x)]TJ/F55 7.5716 Tf 5.399 4.115 Td [(T)]TJ/F55 9.9626 Tf 5.525 -4.115 Td [(y)]TJ/F57 9.9626 Tf -189.778 -21.93 Td [(Else)-250(if)]TJ/F55 9.9626 Tf 29.474 0 Td [(x)]TJ/F57 9.9626 Tf 7.696 0 Td [(and)]TJ/F55 9.9626 Tf 19.482 0 Td [(y)]TJ/F57 9.9626 Tf 7.596 0 Td [(ar)18(e)-250(complex)-250(vectors)-250(then)-250(it)-250(computes)-250(dot-pr)18(oduct)-250(as:)]TJ/F55 9.9626 Tf 83.965 -23.132 Td [(d)-25(o)-35(t)]TJ/F86 10.3811 Tf 16.336 0 Td [(\040)]TJ/F55 9.9626 Tf 13.567 0 Td [(x)]TJ/F55 7.5716 Tf 5.588 4.115 Td [(H)]TJ/F55 9.9626 Tf 6.812 -4.115 Td [(y)]TJ/F62 9.9626 Tf -175.572 -21.937 Td [(psb_gedot\050x,)-525(y,)-525(desc_a,)-525(info)-525([,global]\051)]TJ 0 g 0 G 0 g 0 G 0 g 0 G @@ -9313,42 +9313,42 @@ q []0 d 0 J 0.398 w 0 0 m 177.263 0 l S Q BT -/F52 9.9626 Tf 240.031 562.118 Td [(d)-25(o)-35(t)]TJ/F54 9.9626 Tf 13.444 0 Td [(,)]TJ/F52 9.9626 Tf 5.276 0 Td [(x)]TJ/F54 9.9626 Tf 5.205 0 Td [(,)]TJ/F52 9.9626 Tf 5.106 0 Td [(y)]TJ/F51 9.9626 Tf 91.76 0 Td [(Function)]TJ +/F55 9.9626 Tf 240.031 562.118 Td [(d)-25(o)-35(t)]TJ/F57 9.9626 Tf 13.444 0 Td [(,)]TJ/F55 9.9626 Tf 5.276 0 Td [(x)]TJ/F57 9.9626 Tf 5.205 0 Td [(,)]TJ/F55 9.9626 Tf 5.106 0 Td [(y)]TJ/F54 9.9626 Tf 91.76 0 Td [(Function)]TJ ET q 1 0 0 1 233.929 558.332 cm []0 d 0 J 0.398 w 0 0 m 177.263 0 l S Q BT -/F54 9.9626 Tf 239.906 549.765 Td [(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ +/F57 9.9626 Tf 239.906 549.765 Td [(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ ET q 1 0 0 1 377.14 549.964 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 380.129 549.765 Td [(gedot)]TJ -140.223 -11.956 Td [(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ +/F57 9.9626 Tf 380.129 549.765 Td [(gedot)]TJ -140.223 -11.956 Td [(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ ET q 1 0 0 1 377.14 538.009 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 380.129 537.809 Td [(gedot)]TJ -140.223 -11.955 Td [(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ +/F57 9.9626 Tf 380.129 537.809 Td [(gedot)]TJ -140.223 -11.955 Td [(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ ET q 1 0 0 1 377.14 526.053 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 380.129 525.854 Td [(gedot)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ +/F57 9.9626 Tf 380.129 525.854 Td [(gedot)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ ET q 1 0 0 1 377.14 514.098 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 380.129 513.899 Td [(gedot)]TJ +/F57 9.9626 Tf 380.129 513.899 Td [(gedot)]TJ ET q 1 0 0 1 233.929 510.113 cm @@ -9356,115 +9356,115 @@ q Q 0 g 0 G BT -/F54 9.9626 Tf 280.768 481.735 Td [(T)92(able)-250(2:)-310(Data)-250(types)]TJ +/F57 9.9626 Tf 280.768 481.735 Td [(T)92(able)-250(2:)-310(Data)-250(types)]TJ 0 g 0 G 0 g 0 G 0 g 0 G -/F51 9.9626 Tf -130.063 -34.507 Td [(T)90(ype:)]TJ +/F54 9.9626 Tf -130.063 -34.507 Td [(T)90(ype:)]TJ 0 g 0 G -/F54 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ +/F57 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ 0 g 0 G -/F51 9.9626 Tf -29.828 -19.951 Td [(On)-250(Entry)]TJ +/F54 9.9626 Tf -29.828 -19.951 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -19.951 Td [(x)]TJ 0 g 0 G -/F54 9.9626 Tf 9.963 0 Td [(the)-250(local)-250(portion)-250(of)-250(global)-250(dense)-250(matrix)]TJ/F52 9.9626 Tf 175.614 0 Td [(x)]TJ/F54 9.9626 Tf 5.205 0 Td [(.)]TJ -165.875 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.431 0 Td [(local)]TJ/F54 9.9626 Tf -31.431 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-207(as:)-289(a)-208(rank)-207(one)-207(or)-208(two)-207(array)-208(or)-207(an)-208(object)-207(of)-208(type)]TJ +/F57 9.9626 Tf 9.963 0 Td [(the)-250(local)-250(portion)-250(of)-250(global)-250(dense)-250(matrix)]TJ/F55 9.9626 Tf 175.614 0 Td [(x)]TJ/F57 9.9626 Tf 5.205 0 Td [(.)]TJ -165.875 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.431 0 Td [(local)]TJ/F57 9.9626 Tf -31.431 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-207(as:)-289(a)-208(rank)-207(one)-207(or)-208(two)-207(array)-208(or)-207(an)-208(object)-207(of)-208(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 244.742 0 Td [(psb)]TJ +/F62 9.9626 Tf 244.742 0 Td [(psb)]TJ ET q 1 0 0 1 436.673 359.705 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 439.811 359.506 Td [(T)]TJ +/F62 9.9626 Tf 439.811 359.506 Td [(T)]TJ ET q 1 0 0 1 445.669 359.705 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 448.807 359.506 Td [(vect)]TJ +/F62 9.9626 Tf 448.807 359.506 Td [(vect)]TJ ET q 1 0 0 1 470.356 359.705 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 473.495 359.506 Td [(type)]TJ +/F62 9.9626 Tf 473.495 359.506 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf -297.884 -11.956 Td [(containing)-312(numbers)-311(of)-312(type)-311(speci\002ed)-312(in)-311(T)92(able)]TJ +/F57 9.9626 Tf -297.884 -11.956 Td [(containing)-312(numbers)-311(of)-312(type)-311(speci\002ed)-312(in)-311(T)92(able)]TJ 0 0 1 rg 0 0 1 RG [-312(2)]TJ 0 g 0 G - [(.)-494(The)-312(rank)-312(of)]TJ/F52 9.9626 Tf 274.834 0 Td [(x)]TJ/F54 9.9626 Tf 8.31 0 Td [(must)-311(be)]TJ -283.144 -11.955 Td [(the)-250(same)-250(of)]TJ/F52 9.9626 Tf 52.946 0 Td [(y)]TJ/F54 9.9626 Tf 5.106 0 Td [(.)]TJ + [(.)-494(The)-312(rank)-312(of)]TJ/F55 9.9626 Tf 274.834 0 Td [(x)]TJ/F57 9.9626 Tf 8.31 0 Td [(must)-311(be)]TJ -283.144 -11.955 Td [(the)-250(same)-250(of)]TJ/F55 9.9626 Tf 52.946 0 Td [(y)]TJ/F57 9.9626 Tf 5.106 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -82.958 -19.951 Td [(y)]TJ +/F54 9.9626 Tf -82.958 -19.951 Td [(y)]TJ 0 g 0 G -/F54 9.9626 Tf 10.52 0 Td [(the)-250(local)-250(portion)-250(of)-250(global)-250(dense)-250(matrix)]TJ/F52 9.9626 Tf 175.445 0 Td [(y)]TJ/F54 9.9626 Tf 5.106 0 Td [(.)]TJ -166.165 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(required)]TJ/F54 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(in)]TJ/F54 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-207(as:)-289(a)-208(rank)-207(one)-208(or)-207(two)-207(array)-208(or)-207(an)-208(object)-207(of)-208(type)]TJ +/F57 9.9626 Tf 10.52 0 Td [(the)-250(local)-250(portion)-250(of)-250(global)-250(dense)-250(matrix)]TJ/F55 9.9626 Tf 175.445 0 Td [(y)]TJ/F57 9.9626 Tf 5.106 0 Td [(.)]TJ -166.165 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.089 0 Td [(required)]TJ/F57 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(in)]TJ/F57 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-207(as:)-289(a)-208(rank)-207(one)-208(or)-207(two)-207(array)-208(or)-207(an)-208(object)-207(of)-208(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 244.743 0 Td [(psb)]TJ +/F62 9.9626 Tf 244.743 0 Td [(psb)]TJ ET q 1 0 0 1 436.673 268.023 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 439.811 267.824 Td [(T)]TJ +/F62 9.9626 Tf 439.811 267.824 Td [(T)]TJ ET q 1 0 0 1 445.669 268.023 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 448.807 267.824 Td [(vect)]TJ +/F62 9.9626 Tf 448.807 267.824 Td [(vect)]TJ ET q 1 0 0 1 470.356 268.023 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 473.495 267.824 Td [(type)]TJ +/F62 9.9626 Tf 473.495 267.824 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf -297.884 -11.955 Td [(containing)-313(numbers)-314(of)-313(type)-313(speci\002ed)-314(in)-313(T)92(able)]TJ +/F57 9.9626 Tf -297.884 -11.955 Td [(containing)-313(numbers)-314(of)-313(type)-313(speci\002ed)-314(in)-313(T)92(able)]TJ 0 0 1 rg 0 0 1 RG [-313(2)]TJ 0 g 0 G - [(.)-500(The)-314(rank)-313(of)]TJ/F52 9.9626 Tf 274.898 0 Td [(y)]TJ/F54 9.9626 Tf 8.228 0 Td [(must)-313(be)]TJ -283.126 -11.956 Td [(the)-250(same)-250(of)]TJ/F52 9.9626 Tf 53.116 0 Td [(x)]TJ/F54 9.9626 Tf 5.205 0 Td [(.)]TJ + [(.)-500(The)-314(rank)-313(of)]TJ/F55 9.9626 Tf 274.898 0 Td [(y)]TJ/F57 9.9626 Tf 8.228 0 Td [(must)-313(be)]TJ -283.126 -11.956 Td [(the)-250(same)-250(of)]TJ/F55 9.9626 Tf 53.116 0 Td [(x)]TJ/F57 9.9626 Tf 5.205 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -83.227 -19.95 Td [(desc)]TJ +/F54 9.9626 Tf -83.227 -19.95 Td [(desc)]TJ ET q 1 0 0 1 171.218 224.162 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 174.207 223.963 Td [(a)]TJ +/F54 9.9626 Tf 174.207 223.963 Td [(a)]TJ 0 g 0 G -/F54 9.9626 Tf 9.962 0 Td [(contains)-250(data)-250(str)8(uctur)18(es)-250(for)-250(communications.)]TJ -8.558 -11.956 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(required)]TJ/F54 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(in)]TJ/F54 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(object)-250(of)-250(type)]TJ +/F57 9.9626 Tf 9.962 0 Td [(contains)-250(data)-250(str)8(uctur)18(es)-250(for)-250(communications.)]TJ -8.558 -11.956 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.089 0 Td [(required)]TJ/F57 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(in)]TJ/F57 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(object)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 132.243 0 Td [(psb)]TJ +/F62 9.9626 Tf 132.243 0 Td [(psb)]TJ ET q 1 0 0 1 324.173 176.341 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 327.311 176.142 Td [(desc)]TJ +/F62 9.9626 Tf 327.311 176.142 Td [(desc)]TJ ET q 1 0 0 1 348.86 176.341 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 351.998 176.142 Td [(type)]TJ +/F62 9.9626 Tf 351.998 176.142 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf 20.921 0 Td [(.)]TJ +/F57 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -222.214 -19.951 Td [(global)]TJ +/F54 9.9626 Tf -222.214 -19.951 Td [(global)]TJ 0 g 0 G -/F54 9.9626 Tf 33.763 0 Td [(Speci\002es)-226(whether)-227(the)-226(computation)-226(should)-226(include)-227(the)-226(global)-226(r)18(eduction)]TJ -8.857 -11.955 Td [(acr)18(oss)-250(all)-250(pr)18(ocesses.)]TJ 0 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(global)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(optional)]TJ/F54 9.9626 Tf 38.186 0 Td [(.)]TJ +/F57 9.9626 Tf 33.763 0 Td [(Speci\002es)-226(whether)-227(the)-226(computation)-226(should)-226(include)-227(the)-226(global)-226(r)18(eduction)]TJ -8.857 -11.955 Td [(acr)18(oss)-250(all)-250(pr)18(ocesses.)]TJ 0 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(global)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.089 0 Td [(optional)]TJ/F57 9.9626 Tf 38.186 0 Td [(.)]TJ 0 g 0 G 76.693 -29.888 Td [(32)]TJ 0 g 0 G @@ -9480,34 +9480,34 @@ stream 0 g 0 G 0 g 0 G BT -/F54 9.9626 Tf 124.802 706.129 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(logical)-250(scalar)74(.)-310(Default:)]TJ/F59 9.9626 Tf 165.318 0 Td [(global)]TJ +/F57 9.9626 Tf 124.802 706.129 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(logical)-250(scalar)74(.)-310(Default:)]TJ/F62 9.9626 Tf 165.318 0 Td [(global)]TJ 0.40 0.40 0.40 rg 0.40 0.40 0.40 RG [(=)]TJ 0 g 0 G [(.true.)]TJ 0 g 0 G -/F51 9.9626 Tf -190.225 -31.881 Td [(On)-250(Return)]TJ +/F54 9.9626 Tf -190.225 -31.881 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -19.925 Td [(Function)-250(value)]TJ 0 g 0 G -/F54 9.9626 Tf 72.777 0 Td [(is)-250(the)-250(dot)-250(pr)18(oduct)-250(of)-250(vectors)]TJ/F52 9.9626 Tf 126.33 0 Td [(x)]TJ/F54 9.9626 Tf 7.696 0 Td [(and)]TJ/F52 9.9626 Tf 19.482 0 Td [(y)]TJ/F54 9.9626 Tf 5.105 0 Td [(.)]TJ -206.483 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.133 0 Td [(global)]TJ/F54 9.9626 Tf 30.675 0 Td [(unless)-190(the)-190(optional)-190(variable)]TJ/F59 9.9626 Tf 121.612 0 Td [(global)]TJ +/F57 9.9626 Tf 72.777 0 Td [(is)-250(the)-250(dot)-250(pr)18(oduct)-250(of)-250(vectors)]TJ/F55 9.9626 Tf 126.33 0 Td [(x)]TJ/F57 9.9626 Tf 7.696 0 Td [(and)]TJ/F55 9.9626 Tf 19.482 0 Td [(y)]TJ/F57 9.9626 Tf 5.105 0 Td [(.)]TJ -206.483 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.133 0 Td [(global)]TJ/F57 9.9626 Tf 30.675 0 Td [(unless)-190(the)-190(optional)-190(variable)]TJ/F62 9.9626 Tf 121.612 0 Td [(global)]TJ 0.40 0.40 0.40 rg 0.40 0.40 0.40 RG [(=)]TJ 0 g 0 G - [(.false.)]TJ/F54 9.9626 Tf 75.118 0 Td [(has)-190(been)-190(spec-)]TJ -258.538 -11.955 Td [(i\002ed)]TJ 0 -11.956 Td [(Speci\002ed)-250(as:)-310(a)-250(number)-250(of)-250(the)-250(data)-250(type)-250(indicated)-250(in)-250(T)92(able)]TJ + [(.false.)]TJ/F57 9.9626 Tf 75.118 0 Td [(has)-190(been)-190(spec-)]TJ -258.538 -11.955 Td [(i\002ed)]TJ 0 -11.956 Td [(Speci\002ed)-250(as:)-310(a)-250(number)-250(of)-250(the)-250(data)-250(type)-250(indicated)-250(in)-250(T)92(able)]TJ 0 0 1 rg 0 0 1 RG [-250(2)]TJ 0 g 0 G [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.907 -19.925 Td [(info)]TJ +/F54 9.9626 Tf -24.907 -19.925 Td [(info)]TJ 0 g 0 G -/F54 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.956 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ/F51 11.9552 Tf -24.907 -21.917 Td [(Notes)]TJ +/F57 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(out)]TJ/F57 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.956 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ/F54 11.9552 Tf -24.907 -21.917 Td [(Notes)]TJ 0 g 0 G -/F54 9.9626 Tf 12.454 -19.926 Td [(1.)]TJ +/F57 9.9626 Tf 12.454 -19.926 Td [(1.)]TJ 0 g 0 G - [-500(The)-190(computation)-190(of)-190(a)-190(global)-190(r)18(esult)-190(r)18(equir)18(es)-190(a)-190(global)-190(communication,)-202(which)]TJ 12.453 -11.955 Td [(entails)-318(a)-318(signi\002cant)-318(ove)1(r)18(head.)-514(It)-318(may)-318(be)-318(necessary)-317(and/or)-318(advisable)-318(to)]TJ 0 -11.955 Td [(compute)-204(multiple)-204(dot)-204(pr)18(oducts)-204(at)-204(the)-204(same)-204(time;)-219(in)-204(this)-204(case,)-213(it)-204(is)-204(possible)]TJ 0 -11.955 Td [(to)-250(impr)18(ove)-250(the)-250(r)8(untime)-250(ef)18(\002ciency)-250(by)-250(using)-250(the)-250(following)-250(scheme:)]TJ/F59 9.9626 Tf 52.303 -19.925 Td [(vres\050)]TJ + [-500(The)-190(computation)-190(of)-190(a)-190(global)-190(r)18(esult)-190(r)18(equir)18(es)-190(a)-190(global)-190(communication,)-202(which)]TJ 12.453 -11.955 Td [(entails)-318(a)-318(signi\002cant)-318(ove)1(r)18(head.)-514(It)-318(may)-318(be)-318(necessary)-317(and/or)-318(advisable)-318(to)]TJ 0 -11.955 Td [(compute)-204(multiple)-204(dot)-204(pr)18(oducts)-204(at)-204(the)-204(same)-204(time;)-219(in)-204(this)-204(case,)-213(it)-204(is)-204(possible)]TJ 0 -11.955 Td [(to)-250(impr)18(ove)-250(the)-250(r)8(untime)-250(ef)18(\002ciency)-250(by)-250(using)-250(the)-250(following)-250(scheme:)]TJ/F62 9.9626 Tf 52.303 -19.925 Td [(vres\050)]TJ 0.25 0.63 0.44 rg 0.25 0.63 0.44 RG [(1)]TJ 0 g 0 G @@ -9555,7 +9555,7 @@ BT 0.25 0.63 0.44 rg 0.25 0.63 0.44 RG [(3)]TJ 0 g 0 G - [(\051\051)]TJ/F54 9.9626 Tf -52.303 -19.925 Td [(In)-253(this)-252(way)-253(the)-253(global)-253(communicati)1(on,)-254(which)-253(for)-252(small)-253(sizes)-253(is)-252(a)-253(latency-)]TJ 0 -11.955 Td [(bound)-250(operation,)-250(is)-250(invoked)-250(only)-250(once.)]TJ + [(\051\051)]TJ/F57 9.9626 Tf -52.303 -19.925 Td [(In)-253(this)-252(way)-253(the)-253(global)-253(communicati)1(on,)-254(which)-253(for)-252(small)-253(sizes)-253(is)-252(a)-253(latency-)]TJ 0 -11.955 Td [(bound)-250(operation,)-250(is)-250(invoked)-250(only)-250(once.)]TJ 0 g 0 G 141.968 -282.939 Td [(33)]TJ 0 g 0 G @@ -9571,16 +9571,16 @@ stream 0 g 0 G 0 g 0 G BT -/F51 11.9552 Tf 150.705 706.129 Td [(4.3)-1000(psb)]TJ +/F54 11.9552 Tf 150.705 706.129 Td [(4.3)-1000(psb)]TJ ET q 1 0 0 1 198.238 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F51 11.9552 Tf 201.825 706.129 Td [(gedots)-250(\227)-250(Generalized)-250(Dot)-250(Product)]TJ/F54 9.9626 Tf -51.12 -18.964 Td [(This)-283(subr)18(outine)-284(computes)-283(a)-284(series)-284(of)-283(dot)-284(pr)18(oducts)-283(among)-284(the)-283(columns)-284(of)-283(two)]TJ 0 -11.955 Td [(dense)-250(matrices)]TJ/F52 9.9626 Tf 68.208 0 Td [(x)]TJ/F54 9.9626 Tf 7.696 0 Td [(and)]TJ/F52 9.9626 Tf 19.482 0 Td [(y)]TJ/F54 9.9626 Tf 5.106 0 Td [(:)]TJ/F52 9.9626 Tf 24.807 -13.101 Td [(r)-17(e)-25(s)]TJ/F85 10.3811 Tf 12.293 0 Td [(\050)]TJ/F52 9.9626 Tf 4.205 0 Td [(i)]TJ/F85 10.3811 Tf 3.088 0 Td [(\051)]TJ/F83 10.3811 Tf 7.041 0 Td [(\040)]TJ/F52 9.9626 Tf 13.567 0 Td [(x)]TJ/F85 10.3811 Tf 5.33 0 Td [(\050)]TJ/F54 9.9626 Tf 4.274 0 Td [(:)-12(,)]TJ/F52 9.9626 Tf 6.821 0 Td [(i)]TJ/F85 10.3811 Tf 3.088 0 Td [(\051)]TJ/F52 7.5716 Tf 4.343 4.114 Td [(T)]TJ/F52 9.9626 Tf 5.525 -4.114 Td [(y)]TJ/F85 10.3811 Tf 5.23 0 Td [(\050)]TJ/F54 9.9626 Tf 4.274 0 Td [(:)-13(,)]TJ/F52 9.9626 Tf 6.821 0 Td [(i)]TJ/F85 10.3811 Tf 3.089 0 Td [(\051)]TJ/F54 9.9626 Tf -214.288 -16.876 Td [(If)-300(the)-299(matrices)-300(ar)18(e)-299(complex,)-312(then)-300(the)-300(usual)-299(convention)-300(applies,)-312(i.e.)-459(the)-299(conju-)]TJ 0 -11.955 Td [(gate)-239(transpose)-239(of)]TJ/F52 9.9626 Tf 77.351 0 Td [(x)]TJ/F54 9.9626 Tf 7.589 0 Td [(is)-239(used.)-307(If)]TJ/F52 9.9626 Tf 45.493 0 Td [(x)]TJ/F54 9.9626 Tf 7.589 0 Td [(and)]TJ/F52 9.9626 Tf 19.375 0 Td [(y)]TJ/F54 9.9626 Tf 7.489 0 Td [(ar)18(e)-239(of)-239(rank)-240(one,)-241(then)]TJ/F52 9.9626 Tf 92.601 0 Td [(r)-17(e)-25(s)]TJ/F54 9.9626 Tf 14.552 0 Td [(is)-239(a)-240(scalar)75(,)-242(else)-239(it)]TJ -272.039 -11.955 Td [(is)-250(a)-250(rank)-250(one)-250(array)111(.)]TJ +/F54 11.9552 Tf 201.825 706.129 Td [(gedots)-250(\227)-250(Generalized)-250(Dot)-250(Product)]TJ/F57 9.9626 Tf -51.12 -18.964 Td [(This)-283(subr)18(outine)-284(computes)-283(a)-284(series)-284(of)-283(dot)-284(pr)18(oducts)-283(among)-284(the)-283(columns)-284(of)-283(two)]TJ 0 -11.955 Td [(dense)-250(matrices)]TJ/F55 9.9626 Tf 68.208 0 Td [(x)]TJ/F57 9.9626 Tf 7.696 0 Td [(and)]TJ/F55 9.9626 Tf 19.482 0 Td [(y)]TJ/F57 9.9626 Tf 5.106 0 Td [(:)]TJ/F55 9.9626 Tf 24.807 -13.101 Td [(r)-17(e)-25(s)]TJ/F88 10.3811 Tf 12.293 0 Td [(\050)]TJ/F55 9.9626 Tf 4.205 0 Td [(i)]TJ/F88 10.3811 Tf 3.088 0 Td [(\051)]TJ/F86 10.3811 Tf 7.041 0 Td [(\040)]TJ/F55 9.9626 Tf 13.567 0 Td [(x)]TJ/F88 10.3811 Tf 5.33 0 Td [(\050)]TJ/F57 9.9626 Tf 4.274 0 Td [(:)-12(,)]TJ/F55 9.9626 Tf 6.821 0 Td [(i)]TJ/F88 10.3811 Tf 3.088 0 Td [(\051)]TJ/F55 7.5716 Tf 4.343 4.114 Td [(T)]TJ/F55 9.9626 Tf 5.525 -4.114 Td [(y)]TJ/F88 10.3811 Tf 5.23 0 Td [(\050)]TJ/F57 9.9626 Tf 4.274 0 Td [(:)-13(,)]TJ/F55 9.9626 Tf 6.821 0 Td [(i)]TJ/F88 10.3811 Tf 3.089 0 Td [(\051)]TJ/F57 9.9626 Tf -214.288 -16.876 Td [(If)-300(the)-299(matrices)-300(ar)18(e)-299(complex,)-312(then)-300(the)-300(usual)-299(convention)-300(applies,)-312(i.e.)-459(the)-299(conju-)]TJ 0 -11.955 Td [(gate)-239(transpose)-239(of)]TJ/F55 9.9626 Tf 77.351 0 Td [(x)]TJ/F57 9.9626 Tf 7.589 0 Td [(is)-239(used.)-307(If)]TJ/F55 9.9626 Tf 45.493 0 Td [(x)]TJ/F57 9.9626 Tf 7.589 0 Td [(and)]TJ/F55 9.9626 Tf 19.375 0 Td [(y)]TJ/F57 9.9626 Tf 7.489 0 Td [(ar)18(e)-239(of)-239(rank)-240(one,)-241(then)]TJ/F55 9.9626 Tf 92.601 0 Td [(r)-17(e)-25(s)]TJ/F57 9.9626 Tf 14.552 0 Td [(is)-239(a)-240(scalar)75(,)-242(else)-239(it)]TJ -272.039 -11.955 Td [(is)-250(a)-250(rank)-250(one)-250(array)111(.)]TJ 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG -/F59 9.9626 Tf 20.174 -11.955 Td [(call)]TJ +/F62 9.9626 Tf 20.174 -11.955 Td [(call)]TJ 0 g 0 G [-525(psb_gedots\050res,)-525(x,)-525(y,)-525(desc_a,)-525(info\051)]TJ 0 g 0 G @@ -9592,42 +9592,42 @@ q []0 d 0 J 0.398 w 0 0 m 184.337 0 l S Q BT -/F52 9.9626 Tf 236.394 587.136 Td [(r)-17(e)-25(s)]TJ/F54 9.9626 Tf 12.17 0 Td [(,)]TJ/F52 9.9626 Tf 5.275 0 Td [(x)]TJ/F54 9.9626 Tf 5.205 0 Td [(,)]TJ/F52 9.9626 Tf 5.106 0 Td [(y)]TJ/F51 9.9626 Tf 93.135 0 Td [(Subroutine)]TJ +/F55 9.9626 Tf 236.394 587.136 Td [(r)-17(e)-25(s)]TJ/F57 9.9626 Tf 12.17 0 Td [(,)]TJ/F55 9.9626 Tf 5.275 0 Td [(x)]TJ/F57 9.9626 Tf 5.205 0 Td [(,)]TJ/F55 9.9626 Tf 5.106 0 Td [(y)]TJ/F54 9.9626 Tf 93.135 0 Td [(Subroutine)]TJ ET q 1 0 0 1 230.392 583.351 cm []0 d 0 J 0.398 w 0 0 m 184.337 0 l S Q BT -/F54 9.9626 Tf 236.369 574.783 Td [(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ +/F57 9.9626 Tf 236.369 574.783 Td [(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ ET q 1 0 0 1 373.603 574.982 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 376.592 574.783 Td [(gedots)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ +/F57 9.9626 Tf 376.592 574.783 Td [(gedots)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ ET q 1 0 0 1 373.603 563.027 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 376.592 562.828 Td [(gedots)]TJ -140.223 -11.956 Td [(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ +/F57 9.9626 Tf 376.592 562.828 Td [(gedots)]TJ -140.223 -11.956 Td [(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ ET q 1 0 0 1 373.603 551.072 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 376.592 550.872 Td [(gedots)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ +/F57 9.9626 Tf 376.592 550.872 Td [(gedots)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ ET q 1 0 0 1 373.603 539.116 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 376.592 538.917 Td [(gedots)]TJ +/F57 9.9626 Tf 376.592 538.917 Td [(gedots)]TJ ET q 1 0 0 1 230.392 535.131 cm @@ -9635,118 +9635,118 @@ q Q 0 g 0 G BT -/F54 9.9626 Tf 280.768 506.753 Td [(T)92(able)-250(3:)-310(Data)-250(types)]TJ +/F57 9.9626 Tf 280.768 506.753 Td [(T)92(able)-250(3:)-310(Data)-250(types)]TJ 0 g 0 G 0 g 0 G 0 g 0 G -/F51 9.9626 Tf -130.063 -32.002 Td [(T)90(ype:)]TJ +/F54 9.9626 Tf -130.063 -32.002 Td [(T)90(ype:)]TJ 0 g 0 G -/F54 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ +/F57 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ 0 g 0 G -/F51 9.9626 Tf -29.828 -19.22 Td [(On)-250(Entry)]TJ +/F54 9.9626 Tf -29.828 -19.22 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -19.22 Td [(x)]TJ 0 g 0 G -/F54 9.9626 Tf 9.963 0 Td [(the)-250(local)-250(portion)-250(of)-250(global)-250(dense)-250(matrix)]TJ/F52 9.9626 Tf 175.614 0 Td [(x)]TJ/F54 9.9626 Tf 5.205 0 Td [(.)]TJ -165.875 -11.956 Td [(Scope:)]TJ/F51 9.9626 Tf 31.431 0 Td [(local)]TJ/F54 9.9626 Tf -31.431 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-207(as:)-289(a)-208(rank)-207(one)-207(or)-208(two)-207(array)-208(or)-207(an)-208(object)-207(of)-208(type)]TJ +/F57 9.9626 Tf 9.963 0 Td [(the)-250(local)-250(portion)-250(of)-250(global)-250(dense)-250(matrix)]TJ/F55 9.9626 Tf 175.614 0 Td [(x)]TJ/F57 9.9626 Tf 5.205 0 Td [(.)]TJ -165.875 -11.956 Td [(Scope:)]TJ/F54 9.9626 Tf 31.431 0 Td [(local)]TJ/F57 9.9626 Tf -31.431 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-207(as:)-289(a)-208(rank)-207(one)-207(or)-208(two)-207(array)-208(or)-207(an)-208(object)-207(of)-208(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 244.742 0 Td [(psb)]TJ +/F62 9.9626 Tf 244.742 0 Td [(psb)]TJ ET q 1 0 0 1 436.673 388.689 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 439.811 388.49 Td [(T)]TJ +/F62 9.9626 Tf 439.811 388.49 Td [(T)]TJ ET q 1 0 0 1 445.669 388.689 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 448.807 388.49 Td [(vect)]TJ +/F62 9.9626 Tf 448.807 388.49 Td [(vect)]TJ ET q 1 0 0 1 470.356 388.689 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 473.495 388.49 Td [(type)]TJ +/F62 9.9626 Tf 473.495 388.49 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf -297.884 -11.955 Td [(containing)-312(numbers)-311(of)-312(type)-311(speci\002ed)-312(in)-311(T)92(able)]TJ +/F57 9.9626 Tf -297.884 -11.955 Td [(containing)-312(numbers)-311(of)-312(type)-311(speci\002ed)-312(in)-311(T)92(able)]TJ 0 0 1 rg 0 0 1 RG [-312(3)]TJ 0 g 0 G - [(.)-494(The)-312(rank)-312(of)]TJ/F52 9.9626 Tf 274.834 0 Td [(x)]TJ/F54 9.9626 Tf 8.31 0 Td [(must)-311(be)]TJ -283.144 -11.955 Td [(the)-250(same)-250(of)]TJ/F52 9.9626 Tf 52.946 0 Td [(y)]TJ/F54 9.9626 Tf 5.106 0 Td [(.)]TJ + [(.)-494(The)-312(rank)-312(of)]TJ/F55 9.9626 Tf 274.834 0 Td [(x)]TJ/F57 9.9626 Tf 8.31 0 Td [(must)-311(be)]TJ -283.144 -11.955 Td [(the)-250(same)-250(of)]TJ/F55 9.9626 Tf 52.946 0 Td [(y)]TJ/F57 9.9626 Tf 5.106 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -82.958 -19.221 Td [(y)]TJ +/F54 9.9626 Tf -82.958 -19.221 Td [(y)]TJ 0 g 0 G -/F54 9.9626 Tf 10.52 0 Td [(the)-250(local)-250(portion)-250(of)-250(global)-250(dense)-250(matrix)]TJ/F52 9.9626 Tf 175.445 0 Td [(y)]TJ/F54 9.9626 Tf 5.106 0 Td [(.)]TJ -166.165 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(required)]TJ/F54 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(in)]TJ/F54 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-207(as:)-289(a)-208(rank)-207(one)-208(or)-207(two)-207(array)-208(or)-207(an)-208(object)-207(of)-208(type)]TJ +/F57 9.9626 Tf 10.52 0 Td [(the)-250(local)-250(portion)-250(of)-250(global)-250(dense)-250(matrix)]TJ/F55 9.9626 Tf 175.445 0 Td [(y)]TJ/F57 9.9626 Tf 5.106 0 Td [(.)]TJ -166.165 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.089 0 Td [(required)]TJ/F57 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(in)]TJ/F57 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-207(as:)-289(a)-208(rank)-207(one)-208(or)-207(two)-207(array)-208(or)-207(an)-208(object)-207(of)-208(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 244.743 0 Td [(psb)]TJ +/F62 9.9626 Tf 244.743 0 Td [(psb)]TJ ET q 1 0 0 1 436.673 297.738 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 439.811 297.539 Td [(T)]TJ +/F62 9.9626 Tf 439.811 297.539 Td [(T)]TJ ET q 1 0 0 1 445.669 297.738 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 448.807 297.539 Td [(vect)]TJ +/F62 9.9626 Tf 448.807 297.539 Td [(vect)]TJ ET q 1 0 0 1 470.356 297.738 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 473.495 297.539 Td [(type)]TJ +/F62 9.9626 Tf 473.495 297.539 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf -297.884 -11.956 Td [(containing)-313(numbers)-314(of)-313(type)-313(speci\002ed)-314(in)-313(T)92(able)]TJ +/F57 9.9626 Tf -297.884 -11.956 Td [(containing)-313(numbers)-314(of)-313(type)-313(speci\002ed)-314(in)-313(T)92(able)]TJ 0 0 1 rg 0 0 1 RG [-313(3)]TJ 0 g 0 G - [(.)-500(The)-314(rank)-313(of)]TJ/F52 9.9626 Tf 274.898 0 Td [(y)]TJ/F54 9.9626 Tf 8.228 0 Td [(must)-313(be)]TJ -283.126 -11.955 Td [(the)-250(same)-250(of)]TJ/F52 9.9626 Tf 53.116 0 Td [(x)]TJ/F54 9.9626 Tf 5.205 0 Td [(.)]TJ + [(.)-500(The)-314(rank)-313(of)]TJ/F55 9.9626 Tf 274.898 0 Td [(y)]TJ/F57 9.9626 Tf 8.228 0 Td [(must)-313(be)]TJ -283.126 -11.955 Td [(the)-250(same)-250(of)]TJ/F55 9.9626 Tf 53.116 0 Td [(x)]TJ/F57 9.9626 Tf 5.205 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -83.227 -19.22 Td [(desc)]TJ +/F54 9.9626 Tf -83.227 -19.22 Td [(desc)]TJ ET q 1 0 0 1 171.218 254.607 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 174.207 254.408 Td [(a)]TJ +/F54 9.9626 Tf 174.207 254.408 Td [(a)]TJ 0 g 0 G -/F54 9.9626 Tf 9.962 0 Td [(contains)-250(data)-250(str)8(uctur)18(es)-250(for)-250(communications.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.956 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(required)]TJ/F54 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(in)]TJ/F54 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(object)-250(of)-250(type)]TJ +/F57 9.9626 Tf 9.962 0 Td [(contains)-250(data)-250(str)8(uctur)18(es)-250(for)-250(communications.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.956 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.089 0 Td [(required)]TJ/F57 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(in)]TJ/F57 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(object)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 132.243 0 Td [(psb)]TJ +/F62 9.9626 Tf 132.243 0 Td [(psb)]TJ ET q 1 0 0 1 324.173 206.786 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 327.311 206.587 Td [(desc)]TJ +/F62 9.9626 Tf 327.311 206.587 Td [(desc)]TJ ET q 1 0 0 1 348.86 206.786 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 351.998 206.587 Td [(type)]TJ +/F62 9.9626 Tf 351.998 206.587 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf 20.921 0 Td [(.)]TJ +/F57 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -222.214 -19.22 Td [(On)-250(Return)]TJ +/F54 9.9626 Tf -222.214 -19.22 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -19.221 Td [(res)]TJ 0 g 0 G -/F54 9.9626 Tf 18.261 0 Td [(is)-250(the)-250(dot)-250(pr)18(oduct)-250(of)-250(vectors)]TJ/F52 9.9626 Tf 126.33 0 Td [(x)]TJ/F54 9.9626 Tf 7.696 0 Td [(and)]TJ/F52 9.9626 Tf 19.482 0 Td [(y)]TJ/F54 9.9626 Tf 5.106 0 Td [(.)]TJ -151.968 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.431 0 Td [(global)]TJ/F54 9.9626 Tf -31.431 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(Speci\002ed)-289(as:)-389(a)-290(number)-290(or)-289(a)-290(rank-one)-289(array)-290(of)-289(the)-290(data)-289(type)-290(indicated)-289(in)]TJ 0 -11.955 Td [(T)92(able)]TJ +/F57 9.9626 Tf 18.261 0 Td [(is)-250(the)-250(dot)-250(pr)18(oduct)-250(of)-250(vectors)]TJ/F55 9.9626 Tf 126.33 0 Td [(x)]TJ/F57 9.9626 Tf 7.696 0 Td [(and)]TJ/F55 9.9626 Tf 19.482 0 Td [(y)]TJ/F57 9.9626 Tf 5.106 0 Td [(.)]TJ -151.968 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.431 0 Td [(global)]TJ/F57 9.9626 Tf -31.431 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(out)]TJ/F57 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(Speci\002ed)-289(as:)-389(a)-290(number)-290(or)-289(a)-290(rank-one)-289(array)-290(of)-289(the)-290(data)-289(type)-290(indicated)-289(in)]TJ 0 -11.955 Td [(T)92(able)]TJ 0 0 1 rg 0 0 1 RG [-250(2)]TJ 0 g 0 G @@ -9767,9 +9767,9 @@ stream 0 g 0 G 0 g 0 G BT -/F51 9.9626 Tf 99.895 706.129 Td [(info)]TJ +/F54 9.9626 Tf 99.895 706.129 Td [(info)]TJ 0 g 0 G -/F54 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ +/F57 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(out)]TJ/F57 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ 0 g 0 G 141.968 -567.87 Td [(35)]TJ 0 g 0 G @@ -9785,14 +9785,14 @@ stream 0 g 0 G 0 g 0 G BT -/F51 11.9552 Tf 150.705 706.129 Td [(4.4)-1000(psb)]TJ +/F54 11.9552 Tf 150.705 706.129 Td [(4.4)-1000(psb)]TJ ET q 1 0 0 1 198.238 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F51 11.9552 Tf 201.825 706.129 Td [(normi)-250(\227)-250(In\002nity-Norm)-250(of)-250(V)111(ector)]TJ/F54 9.9626 Tf -51.12 -18.964 Td [(This)-250(function)-250(computes)-250(the)-250(in\002nity-norm)-250(of)-250(a)-250(vector)]TJ/F52 9.9626 Tf 233.576 0 Td [(x)]TJ/F54 9.9626 Tf 5.205 0 Td [(.)]TJ -238.781 -11.955 Td [(If)]TJ/F52 9.9626 Tf 9.459 0 Td [(x)]TJ/F54 9.9626 Tf 7.696 0 Td [(is)-250(a)-250(r)18(eal)-250(vector)-250(it)-250(computes)-250(in\002nity)-250(norm)-250(as:)]TJ/F52 9.9626 Tf 117.807 -18.736 Td [(a)-25(m)-40(a)-42(x)]TJ/F83 10.3811 Tf 25.761 0 Td [(\040)]TJ/F54 9.9626 Tf 13.272 0 Td [(max)]TJ/F52 7.5716 Tf 8.355 -7.21 Td [(i)]TJ/F83 10.3811 Tf 12.349 7.21 Td [(j)]TJ/F52 9.9626 Tf 3.298 0 Td [(x)]TJ/F52 7.5716 Tf 5.147 -1.96 Td [(i)]TJ/F83 10.3811 Tf 2.875 1.96 Td [(j)]TJ/F54 9.9626 Tf -206.019 -23.313 Td [(else)-250(if)]TJ/F52 9.9626 Tf 28.159 0 Td [(x)]TJ/F54 9.9626 Tf 7.696 0 Td [(is)-250(a)-250(complex)-250(vector)-250(then)-250(it)-250(computes)-250(the)-250(in\002nity-norm)-250(as:)]TJ/F52 9.9626 Tf 63.42 -18.737 Td [(a)-25(m)-40(a)-42(x)]TJ/F83 10.3811 Tf 25.761 0 Td [(\040)]TJ/F54 9.9626 Tf 13.273 0 Td [(max)]TJ/F52 7.5716 Tf 8.354 -7.21 Td [(i)]TJ/F85 10.3811 Tf 12.35 7.21 Td [(\050)]TJ/F83 10.3811 Tf 4.274 0 Td [(j)]TJ/F52 9.9626 Tf 3.028 0 Td [(r)-17(e)]TJ/F85 10.3811 Tf 8.17 0 Td [(\050)]TJ/F52 9.9626 Tf 4.443 0 Td [(x)]TJ/F52 7.5716 Tf 5.147 -1.96 Td [(i)]TJ/F85 10.3811 Tf 2.875 1.96 Td [(\051)]TJ/F83 10.3811 Tf 4.274 0 Td [(j)]TJ/F85 10.3811 Tf 5.066 0 Td [(+)]TJ/F83 10.3811 Tf 10.256 0 Td [(j)]TJ/F52 9.9626 Tf 3.058 0 Td [(i)-32(m)]TJ/F85 10.3811 Tf 11.088 0 Td [(\050)]TJ/F52 9.9626 Tf 4.444 0 Td [(x)]TJ/F52 7.5716 Tf 5.147 -1.96 Td [(i)]TJ/F85 10.3811 Tf 2.875 1.96 Td [(\051)]TJ/F83 10.3811 Tf 4.274 0 Td [(j)]TJ/F85 10.3811 Tf 3.128 0 Td [(\051)]TJ/F59 9.9626 Tf -225.616 -22.974 Td [(psb_geamax\050x,)-525(desc_a,)-525(info)-525([,global]\051)]TJ -14.944 -11.955 Td [(psb_normi\050x,)-525(desc_a,)-525(info)-525([,global]\051)]TJ +/F54 11.9552 Tf 201.825 706.129 Td [(normi)-250(\227)-250(In\002nity-Norm)-250(of)-250(V)111(ector)]TJ/F57 9.9626 Tf -51.12 -18.964 Td [(This)-250(function)-250(computes)-250(the)-250(in\002nity-norm)-250(of)-250(a)-250(vector)]TJ/F55 9.9626 Tf 233.576 0 Td [(x)]TJ/F57 9.9626 Tf 5.205 0 Td [(.)]TJ -238.781 -11.955 Td [(If)]TJ/F55 9.9626 Tf 9.459 0 Td [(x)]TJ/F57 9.9626 Tf 7.696 0 Td [(is)-250(a)-250(r)18(eal)-250(vector)-250(it)-250(computes)-250(in\002nity)-250(norm)-250(as:)]TJ/F55 9.9626 Tf 117.807 -18.736 Td [(a)-25(m)-40(a)-42(x)]TJ/F86 10.3811 Tf 25.761 0 Td [(\040)]TJ/F57 9.9626 Tf 13.272 0 Td [(max)]TJ/F55 7.5716 Tf 8.355 -7.21 Td [(i)]TJ/F86 10.3811 Tf 12.349 7.21 Td [(j)]TJ/F55 9.9626 Tf 3.298 0 Td [(x)]TJ/F55 7.5716 Tf 5.147 -1.96 Td [(i)]TJ/F86 10.3811 Tf 2.875 1.96 Td [(j)]TJ/F57 9.9626 Tf -206.019 -23.313 Td [(else)-250(if)]TJ/F55 9.9626 Tf 28.159 0 Td [(x)]TJ/F57 9.9626 Tf 7.696 0 Td [(is)-250(a)-250(complex)-250(vector)-250(then)-250(it)-250(computes)-250(the)-250(in\002nity-norm)-250(as:)]TJ/F55 9.9626 Tf 63.42 -18.737 Td [(a)-25(m)-40(a)-42(x)]TJ/F86 10.3811 Tf 25.761 0 Td [(\040)]TJ/F57 9.9626 Tf 13.273 0 Td [(max)]TJ/F55 7.5716 Tf 8.354 -7.21 Td [(i)]TJ/F88 10.3811 Tf 12.35 7.21 Td [(\050)]TJ/F86 10.3811 Tf 4.274 0 Td [(j)]TJ/F55 9.9626 Tf 3.028 0 Td [(r)-17(e)]TJ/F88 10.3811 Tf 8.17 0 Td [(\050)]TJ/F55 9.9626 Tf 4.443 0 Td [(x)]TJ/F55 7.5716 Tf 5.147 -1.96 Td [(i)]TJ/F88 10.3811 Tf 2.875 1.96 Td [(\051)]TJ/F86 10.3811 Tf 4.274 0 Td [(j)]TJ/F88 10.3811 Tf 5.066 0 Td [(+)]TJ/F86 10.3811 Tf 10.256 0 Td [(j)]TJ/F55 9.9626 Tf 3.058 0 Td [(i)-32(m)]TJ/F88 10.3811 Tf 11.088 0 Td [(\050)]TJ/F55 9.9626 Tf 4.444 0 Td [(x)]TJ/F55 7.5716 Tf 5.147 -1.96 Td [(i)]TJ/F88 10.3811 Tf 2.875 1.96 Td [(\051)]TJ/F86 10.3811 Tf 4.274 0 Td [(j)]TJ/F88 10.3811 Tf 3.128 0 Td [(\051)]TJ/F62 9.9626 Tf -225.616 -22.974 Td [(psb_geamax\050x,)-525(desc_a,)-525(info)-525([,global]\051)]TJ -14.944 -11.955 Td [(psb_normi\050x,)-525(desc_a,)-525(info)-525([,global]\051)]TJ 0 g 0 G 0 g 0 G 0 g 0 G @@ -9802,42 +9802,42 @@ q []0 d 0 J 0.398 w 0 0 m 286.513 0 l S Q BT -/F52 9.9626 Tf 185.556 557.832 Td [(a)-25(m)-40(a)-42(x)-7779(x)]TJ/F51 9.9626 Tf 220.764 0 Td [(Function)]TJ +/F55 9.9626 Tf 185.556 557.832 Td [(a)-25(m)-40(a)-42(x)-7779(x)]TJ/F54 9.9626 Tf 220.764 0 Td [(Function)]TJ ET q 1 0 0 1 179.304 554.046 cm []0 d 0 J 0.398 w 0 0 m 286.513 0 l S Q BT -/F54 9.9626 Tf 185.282 545.478 Td [(Short)-250(Pr)18(ecision)-250(Real)-1200(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ +/F57 9.9626 Tf 185.282 545.478 Td [(Short)-250(Pr)18(ecision)-250(Real)-1200(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ ET q 1 0 0 1 422.639 545.677 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 425.628 545.478 Td [(geamax)]TJ -240.346 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-1279(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ +/F57 9.9626 Tf 425.628 545.478 Td [(geamax)]TJ -240.346 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-1279(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ ET q 1 0 0 1 422.639 533.722 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 425.628 533.523 Td [(geamax)]TJ -240.346 -11.955 Td [(Short)-250(Pr)18(ecision)-250(Real)-1200(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ +/F57 9.9626 Tf 425.628 533.523 Td [(geamax)]TJ -240.346 -11.955 Td [(Short)-250(Pr)18(ecision)-250(Real)-1200(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ ET q 1 0 0 1 422.639 521.767 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 425.628 521.568 Td [(geamax)]TJ -240.346 -11.956 Td [(Long)-250(Pr)18(ecision)-250(Real)-1279(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ +/F57 9.9626 Tf 425.628 521.568 Td [(geamax)]TJ -240.346 -11.956 Td [(Long)-250(Pr)18(ecision)-250(Real)-1279(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ ET q 1 0 0 1 422.639 509.812 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 425.628 509.612 Td [(geamax)]TJ +/F57 9.9626 Tf 425.628 509.612 Td [(geamax)]TJ ET q 1 0 0 1 179.304 505.827 cm @@ -9845,97 +9845,97 @@ q Q 0 g 0 G BT -/F54 9.9626 Tf 280.768 477.448 Td [(T)92(able)-250(4:)-310(Data)-250(types)]TJ +/F57 9.9626 Tf 280.768 477.448 Td [(T)92(able)-250(4:)-310(Data)-250(types)]TJ 0 g 0 G 0 g 0 G 0 g 0 G -/F51 9.9626 Tf -130.063 -30.014 Td [(T)90(ype:)]TJ +/F54 9.9626 Tf -130.063 -30.014 Td [(T)90(ype:)]TJ 0 g 0 G -/F54 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ +/F57 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ 0 g 0 G -/F51 9.9626 Tf -29.828 -18.652 Td [(On)-250(Entry)]TJ +/F54 9.9626 Tf -29.828 -18.652 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -18.653 Td [(x)]TJ 0 g 0 G -/F54 9.9626 Tf 9.963 0 Td [(the)-250(local)-250(portion)-250(of)-250(global)-250(dense)-250(matrix)]TJ/F52 9.9626 Tf 175.614 0 Td [(x)]TJ/F54 9.9626 Tf 5.205 0 Td [(.)]TJ -165.875 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.431 0 Td [(local)]TJ/F54 9.9626 Tf -31.431 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-207(as:)-289(a)-208(rank)-207(one)-207(or)-208(two)-207(array)-208(or)-207(an)-208(object)-207(of)-208(type)]TJ +/F57 9.9626 Tf 9.963 0 Td [(the)-250(local)-250(portion)-250(of)-250(global)-250(dense)-250(matrix)]TJ/F55 9.9626 Tf 175.614 0 Td [(x)]TJ/F57 9.9626 Tf 5.205 0 Td [(.)]TJ -165.875 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.431 0 Td [(local)]TJ/F57 9.9626 Tf -31.431 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-207(as:)-289(a)-208(rank)-207(one)-207(or)-208(two)-207(array)-208(or)-207(an)-208(object)-207(of)-208(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 244.742 0 Td [(psb)]TJ +/F62 9.9626 Tf 244.742 0 Td [(psb)]TJ ET q 1 0 0 1 436.673 362.508 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 439.811 362.308 Td [(T)]TJ +/F62 9.9626 Tf 439.811 362.308 Td [(T)]TJ ET q 1 0 0 1 445.669 362.508 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 448.807 362.308 Td [(vect)]TJ +/F62 9.9626 Tf 448.807 362.308 Td [(vect)]TJ ET q 1 0 0 1 470.356 362.508 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 473.495 362.308 Td [(type)]TJ +/F62 9.9626 Tf 473.495 362.308 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf -297.884 -11.955 Td [(containing)-250(numbers)-250(of)-250(type)-250(speci\002ed)-250(in)-250(T)92(able)]TJ +/F57 9.9626 Tf -297.884 -11.955 Td [(containing)-250(numbers)-250(of)-250(type)-250(speci\002ed)-250(in)-250(T)92(able)]TJ 0 0 1 rg 0 0 1 RG [-250(4)]TJ 0 g 0 G [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.906 -18.652 Td [(desc)]TJ +/F54 9.9626 Tf -24.906 -18.652 Td [(desc)]TJ ET q 1 0 0 1 171.218 331.9 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 174.207 331.701 Td [(a)]TJ +/F54 9.9626 Tf 174.207 331.701 Td [(a)]TJ 0 g 0 G -/F54 9.9626 Tf 9.962 0 Td [(contains)-250(data)-250(str)8(uctur)18(es)-250(for)-250(communications.)]TJ -8.558 -11.956 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(required)]TJ/F54 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(in)]TJ/F54 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(object)-250(of)-250(type)]TJ +/F57 9.9626 Tf 9.962 0 Td [(contains)-250(data)-250(str)8(uctur)18(es)-250(for)-250(communications.)]TJ -8.558 -11.956 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.089 0 Td [(required)]TJ/F57 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(in)]TJ/F57 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(object)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 132.243 0 Td [(psb)]TJ +/F62 9.9626 Tf 132.243 0 Td [(psb)]TJ ET q 1 0 0 1 324.173 284.079 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 327.311 283.88 Td [(desc)]TJ +/F62 9.9626 Tf 327.311 283.88 Td [(desc)]TJ ET q 1 0 0 1 348.86 284.079 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 351.998 283.88 Td [(type)]TJ +/F62 9.9626 Tf 351.998 283.88 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf 20.921 0 Td [(.)]TJ +/F57 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -222.214 -18.653 Td [(global)]TJ +/F54 9.9626 Tf -222.214 -18.653 Td [(global)]TJ 0 g 0 G -/F54 9.9626 Tf 33.763 0 Td [(Speci\002es)-226(whether)-227(the)-226(computation)-226(should)-226(include)-227(the)-226(global)-226(r)18(eduction)]TJ -8.857 -11.955 Td [(acr)18(oss)-250(all)-250(pr)18(ocesses.)]TJ 0 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(global)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(optional)]TJ/F54 9.9626 Tf 38.186 0 Td [(.)]TJ -65.275 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(in)]TJ/F54 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.956 Td [(Speci\002ed)-250(as:)-310(a)-250(logical)-250(scalar)74(.)-310(Default:)]TJ/F59 9.9626 Tf 165.319 0 Td [(global)]TJ +/F57 9.9626 Tf 33.763 0 Td [(Speci\002es)-226(whether)-227(the)-226(computation)-226(should)-226(include)-227(the)-226(global)-226(r)18(eduction)]TJ -8.857 -11.955 Td [(acr)18(oss)-250(all)-250(pr)18(ocesses.)]TJ 0 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(global)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.089 0 Td [(optional)]TJ/F57 9.9626 Tf 38.186 0 Td [(.)]TJ -65.275 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(in)]TJ/F57 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.956 Td [(Speci\002ed)-250(as:)-310(a)-250(logical)-250(scalar)74(.)-310(Default:)]TJ/F62 9.9626 Tf 165.319 0 Td [(global)]TJ 0.40 0.40 0.40 rg 0.40 0.40 0.40 RG [(=)]TJ 0 g 0 G [(.true.)]TJ 0 g 0 G -/F51 9.9626 Tf -190.225 -30.607 Td [(On)-250(Return)]TJ +/F54 9.9626 Tf -190.225 -30.607 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -18.653 Td [(Function)-250(value)]TJ 0 g 0 G -/F54 9.9626 Tf 72.776 0 Td [(is)-250(the)-250(in\002nity)-250(norm)-250(of)-250(vector)]TJ/F52 9.9626 Tf 128.562 0 Td [(x)]TJ/F54 9.9626 Tf 5.205 0 Td [(.)]TJ -181.637 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.133 0 Td [(global)]TJ/F54 9.9626 Tf 30.675 0 Td [(unless)-190(the)-190(optional)-190(variable)]TJ/F59 9.9626 Tf 121.612 0 Td [(global)]TJ +/F57 9.9626 Tf 72.776 0 Td [(is)-250(the)-250(in\002nity)-250(norm)-250(of)-250(vector)]TJ/F55 9.9626 Tf 128.562 0 Td [(x)]TJ/F57 9.9626 Tf 5.205 0 Td [(.)]TJ -181.637 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.133 0 Td [(global)]TJ/F57 9.9626 Tf 30.675 0 Td [(unless)-190(the)-190(optional)-190(variable)]TJ/F62 9.9626 Tf 121.612 0 Td [(global)]TJ 0.40 0.40 0.40 rg 0.40 0.40 0.40 RG [(=)]TJ 0 g 0 G - [(.false.)]TJ/F54 9.9626 Tf 75.118 0 Td [(has)-190(been)-190(spec-)]TJ -258.538 -11.955 Td [(i\002ed)]TJ 0 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(long)-250(pr)18(ecision)-250(r)18(eal)-250(number)74(.)]TJ + [(.false.)]TJ/F57 9.9626 Tf 75.118 0 Td [(has)-190(been)-190(spec-)]TJ -258.538 -11.955 Td [(i\002ed)]TJ 0 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(long)-250(pr)18(ecision)-250(r)18(eal)-250(number)74(.)]TJ 0 g 0 G 141.968 -29.888 Td [(36)]TJ 0 g 0 G @@ -9952,13 +9952,13 @@ stream 0 g 0 G 0 g 0 G BT -/F51 9.9626 Tf 99.895 706.129 Td [(info)]TJ +/F54 9.9626 Tf 99.895 706.129 Td [(info)]TJ 0 g 0 G -/F54 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ/F51 11.9552 Tf -24.907 -21.918 Td [(Notes)]TJ +/F57 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(out)]TJ/F57 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ/F54 11.9552 Tf -24.907 -21.918 Td [(Notes)]TJ 0 g 0 G -/F54 9.9626 Tf 12.454 -19.925 Td [(1.)]TJ +/F57 9.9626 Tf 12.454 -19.925 Td [(1.)]TJ 0 g 0 G - [-500(The)-190(computation)-190(of)-190(a)-190(global)-190(r)18(esult)-190(r)18(equir)18(es)-190(a)-190(global)-190(communication,)-202(which)]TJ 12.453 -11.955 Td [(entails)-318(a)-318(signi\002cant)-318(ove)1(r)18(head.)-514(It)-318(may)-318(be)-318(necessary)-317(and/or)-318(advisable)-318(to)]TJ 0 -11.955 Td [(compute)-333(multiple)-333(norms)-332(at)-333(the)-333(same)-333(time;)-374(in)-333(this)-333(case,)-354(it)-332(is)-333(possible)-333(to)]TJ 0 -11.955 Td [(impr)18(ove)-250(the)-250(r)8(untime)-250(ef)18(\002ciency)-250(by)-250(using)-250(the)-250(following)-250(scheme:)]TJ/F59 9.9626 Tf 52.303 -19.926 Td [(vres\050)]TJ + [-500(The)-190(computation)-190(of)-190(a)-190(global)-190(r)18(esult)-190(r)18(equir)18(es)-190(a)-190(global)-190(communication,)-202(which)]TJ 12.453 -11.955 Td [(entails)-318(a)-318(signi\002cant)-318(ove)1(r)18(head.)-514(It)-318(may)-318(be)-318(necessary)-317(and/or)-318(advisable)-318(to)]TJ 0 -11.955 Td [(compute)-333(multiple)-333(norms)-332(at)-333(the)-333(same)-333(time;)-374(in)-333(this)-333(case,)-354(it)-332(is)-333(possible)-333(to)]TJ 0 -11.955 Td [(impr)18(ove)-250(the)-250(r)8(untime)-250(ef)18(\002ciency)-250(by)-250(using)-250(the)-250(following)-250(scheme:)]TJ/F62 9.9626 Tf 52.303 -19.926 Td [(vres\050)]TJ 0.25 0.63 0.44 rg 0.25 0.63 0.44 RG [(1)]TJ 0 g 0 G @@ -10006,7 +10006,7 @@ BT 0.25 0.63 0.44 rg 0.25 0.63 0.44 RG [(3)]TJ 0 g 0 G - [(\051\051)]TJ/F54 9.9626 Tf -52.303 -19.926 Td [(In)-253(this)-252(way)-253(the)-253(global)-253(communicati)1(on,)-254(which)-253(for)-252(small)-253(sizes)-253(is)-252(a)-253(latency-)]TJ 0 -11.955 Td [(bound)-250(operation,)-250(is)-250(invoked)-250(only)-250(once.)]TJ + [(\051\051)]TJ/F57 9.9626 Tf -52.303 -19.926 Td [(In)-253(this)-252(way)-253(the)-253(global)-253(communicati)1(on,)-254(which)-253(for)-252(small)-253(sizes)-253(is)-252(a)-253(latency-)]TJ 0 -11.955 Td [(bound)-250(operation,)-250(is)-250(invoked)-250(only)-250(once.)]TJ 0 g 0 G 141.968 -402.49 Td [(37)]TJ 0 g 0 G @@ -10022,16 +10022,16 @@ stream 0 g 0 G 0 g 0 G BT -/F51 11.9552 Tf 150.705 706.129 Td [(4.5)-1000(psb)]TJ +/F54 11.9552 Tf 150.705 706.129 Td [(4.5)-1000(psb)]TJ ET q 1 0 0 1 198.238 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F51 11.9552 Tf 201.825 706.129 Td [(geamaxs)-250(\227)-250(Generalized)-250(In\002nity)-250(Norm)]TJ/F54 9.9626 Tf -51.12 -18.964 Td [(This)-256(subr)18(outine)-255(computes)-256(a)-256(series)-255(of)-256(in\002nity)-256(norms)-256(on)-255(the)-256(columns)-256(of)-255(a)-256(dense)]TJ 0 -11.955 Td [(matrix)]TJ/F52 9.9626 Tf 31.785 0 Td [(x)]TJ/F54 9.9626 Tf 5.206 0 Td [(:)]TJ/F52 9.9626 Tf 88.539 -11.955 Td [(r)-17(e)-25(s)]TJ/F85 10.3811 Tf 12.294 0 Td [(\050)]TJ/F52 9.9626 Tf 4.204 0 Td [(i)]TJ/F85 10.3811 Tf 3.088 0 Td [(\051)]TJ/F83 10.3811 Tf 7.042 0 Td [(\040)]TJ/F54 9.9626 Tf 13.273 0 Td [(max)]TJ/F52 7.5716 Tf 7.759 -7.336 Td [(k)]TJ/F83 10.3811 Tf 12.944 7.336 Td [(j)]TJ/F52 9.9626 Tf 3.298 0 Td [(x)]TJ/F85 10.3811 Tf 5.33 0 Td [(\050)]TJ/F52 9.9626 Tf 4.274 0 Td [(k)]TJ/F54 9.9626 Tf 4.598 0 Td [(,)]TJ/F52 9.9626 Tf 4.206 0 Td [(i)]TJ/F85 10.3811 Tf 3.088 0 Td [(\051)]TJ/F83 10.3811 Tf 4.274 0 Td [(j)]TJ +/F54 11.9552 Tf 201.825 706.129 Td [(geamaxs)-250(\227)-250(Generalized)-250(In\002nity)-250(Norm)]TJ/F57 9.9626 Tf -51.12 -18.964 Td [(This)-256(subr)18(outine)-255(computes)-256(a)-256(series)-255(of)-256(in\002nity)-256(norms)-256(on)-255(the)-256(columns)-256(of)-255(a)-256(dense)]TJ 0 -11.955 Td [(matrix)]TJ/F55 9.9626 Tf 31.785 0 Td [(x)]TJ/F57 9.9626 Tf 5.206 0 Td [(:)]TJ/F55 9.9626 Tf 88.539 -11.955 Td [(r)-17(e)-25(s)]TJ/F88 10.3811 Tf 12.294 0 Td [(\050)]TJ/F55 9.9626 Tf 4.204 0 Td [(i)]TJ/F88 10.3811 Tf 3.088 0 Td [(\051)]TJ/F86 10.3811 Tf 7.042 0 Td [(\040)]TJ/F57 9.9626 Tf 13.273 0 Td [(max)]TJ/F55 7.5716 Tf 7.759 -7.336 Td [(k)]TJ/F86 10.3811 Tf 12.944 7.336 Td [(j)]TJ/F55 9.9626 Tf 3.298 0 Td [(x)]TJ/F88 10.3811 Tf 5.33 0 Td [(\050)]TJ/F55 9.9626 Tf 4.274 0 Td [(k)]TJ/F57 9.9626 Tf 4.598 0 Td [(,)]TJ/F55 9.9626 Tf 4.206 0 Td [(i)]TJ/F88 10.3811 Tf 3.088 0 Td [(\051)]TJ/F86 10.3811 Tf 4.274 0 Td [(j)]TJ 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG -/F59 9.9626 Tf -195.028 -22.296 Td [(call)]TJ +/F62 9.9626 Tf -195.028 -22.296 Td [(call)]TJ 0 g 0 G [-525(psb_geamaxs\050res,)-525(x,)-525(desc_a,)-525(info\051)]TJ 0 g 0 G @@ -10043,42 +10043,42 @@ q []0 d 0 J 0.398 w 0 0 m 290.737 0 l S Q BT -/F52 9.9626 Tf 183.195 618.023 Td [(r)-17(e)-25(s)-8868(x)]TJ/F51 9.9626 Tf 221.013 0 Td [(Subroutine)]TJ +/F55 9.9626 Tf 183.195 618.023 Td [(r)-17(e)-25(s)-8868(x)]TJ/F54 9.9626 Tf 221.013 0 Td [(Subroutine)]TJ ET q 1 0 0 1 177.192 614.237 cm []0 d 0 J 0.398 w 0 0 m 290.737 0 l S Q BT -/F54 9.9626 Tf 183.17 605.669 Td [(Short)-250(Pr)18(ecision)-250(Real)-1200(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ +/F57 9.9626 Tf 183.17 605.669 Td [(Short)-250(Pr)18(ecision)-250(Real)-1200(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ ET q 1 0 0 1 420.527 605.868 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 423.516 605.669 Td [(geamaxs)]TJ -240.346 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-1279(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ +/F57 9.9626 Tf 423.516 605.669 Td [(geamaxs)]TJ -240.346 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-1279(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ ET q 1 0 0 1 420.527 593.913 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 423.516 593.714 Td [(geamaxs)]TJ -240.346 -11.955 Td [(Short)-250(Pr)18(ecision)-250(Real)-1200(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ +/F57 9.9626 Tf 423.516 593.714 Td [(geamaxs)]TJ -240.346 -11.955 Td [(Short)-250(Pr)18(ecision)-250(Real)-1200(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ ET q 1 0 0 1 420.527 581.958 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 423.516 581.759 Td [(geamaxs)]TJ -240.346 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-1279(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ +/F57 9.9626 Tf 423.516 581.759 Td [(geamaxs)]TJ -240.346 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-1279(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ ET q 1 0 0 1 420.527 570.003 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 423.516 569.804 Td [(geamaxs)]TJ +/F57 9.9626 Tf 423.516 569.804 Td [(geamaxs)]TJ ET q 1 0 0 1 177.192 566.018 cm @@ -10086,89 +10086,89 @@ q Q 0 g 0 G BT -/F54 9.9626 Tf 280.768 537.639 Td [(T)92(able)-250(5:)-310(Data)-250(types)]TJ +/F57 9.9626 Tf 280.768 537.639 Td [(T)92(able)-250(5:)-310(Data)-250(types)]TJ 0 g 0 G 0 g 0 G 0 g 0 G -/F51 9.9626 Tf -130.063 -34.468 Td [(T)90(ype:)]TJ +/F54 9.9626 Tf -130.063 -34.468 Td [(T)90(ype:)]TJ 0 g 0 G -/F54 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ +/F57 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ 0 g 0 G -/F51 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ +/F54 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -19.926 Td [(x)]TJ 0 g 0 G -/F54 9.9626 Tf 9.963 0 Td [(the)-250(local)-250(portion)-250(of)-250(global)-250(dense)-250(matrix)]TJ/F52 9.9626 Tf 175.614 0 Td [(x)]TJ/F54 9.9626 Tf 5.205 0 Td [(.)]TJ -165.875 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.431 0 Td [(local)]TJ/F54 9.9626 Tf -31.431 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-207(as:)-289(a)-208(rank)-207(one)-207(or)-208(two)-207(array)-208(or)-207(an)-208(object)-207(of)-208(type)]TJ +/F57 9.9626 Tf 9.963 0 Td [(the)-250(local)-250(portion)-250(of)-250(global)-250(dense)-250(matrix)]TJ/F55 9.9626 Tf 175.614 0 Td [(x)]TJ/F57 9.9626 Tf 5.205 0 Td [(.)]TJ -165.875 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.431 0 Td [(local)]TJ/F57 9.9626 Tf -31.431 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-207(as:)-289(a)-208(rank)-207(one)-207(or)-208(two)-207(array)-208(or)-207(an)-208(object)-207(of)-208(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 244.742 0 Td [(psb)]TJ +/F62 9.9626 Tf 244.742 0 Td [(psb)]TJ ET q 1 0 0 1 436.673 415.699 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 439.811 415.5 Td [(T)]TJ +/F62 9.9626 Tf 439.811 415.5 Td [(T)]TJ ET q 1 0 0 1 445.669 415.699 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 448.807 415.5 Td [(vect)]TJ +/F62 9.9626 Tf 448.807 415.5 Td [(vect)]TJ ET q 1 0 0 1 470.356 415.699 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 473.495 415.5 Td [(type)]TJ +/F62 9.9626 Tf 473.495 415.5 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf -297.884 -11.956 Td [(containing)-250(numbers)-250(of)-250(type)-250(speci\002ed)-250(in)-250(T)92(able)]TJ +/F57 9.9626 Tf -297.884 -11.956 Td [(containing)-250(numbers)-250(of)-250(type)-250(speci\002ed)-250(in)-250(T)92(able)]TJ 0 0 1 rg 0 0 1 RG [-250(5)]TJ 0 g 0 G [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.906 -19.925 Td [(desc)]TJ +/F54 9.9626 Tf -24.906 -19.925 Td [(desc)]TJ ET q 1 0 0 1 171.218 383.818 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 174.207 383.619 Td [(a)]TJ +/F54 9.9626 Tf 174.207 383.619 Td [(a)]TJ 0 g 0 G -/F54 9.9626 Tf 9.962 0 Td [(contains)-250(data)-250(str)8(uctur)18(es)-250(for)-250(communications.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(required)]TJ/F54 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(in)]TJ/F54 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.956 Td [(Speci\002ed)-250(as:)-310(an)-250(object)-250(of)-250(type)]TJ +/F57 9.9626 Tf 9.962 0 Td [(contains)-250(data)-250(str)8(uctur)18(es)-250(for)-250(communications.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.089 0 Td [(required)]TJ/F57 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(in)]TJ/F57 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.956 Td [(Speci\002ed)-250(as:)-310(an)-250(object)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 132.243 0 Td [(psb)]TJ +/F62 9.9626 Tf 132.243 0 Td [(psb)]TJ ET q 1 0 0 1 324.173 335.998 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 327.311 335.798 Td [(desc)]TJ +/F62 9.9626 Tf 327.311 335.798 Td [(desc)]TJ ET q 1 0 0 1 348.86 335.998 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 351.998 335.798 Td [(type)]TJ +/F62 9.9626 Tf 351.998 335.798 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf 20.921 0 Td [(.)]TJ +/F57 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -222.214 -19.925 Td [(On)-250(Return)]TJ +/F54 9.9626 Tf -222.214 -19.925 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -19.925 Td [(res)]TJ 0 g 0 G -/F54 9.9626 Tf 18.261 0 Td [(is)-250(the)-250(in\002nity)-250(norm)-250(of)-250(the)-250(columns)-250(of)]TJ/F52 9.9626 Tf 166.26 0 Td [(x)]TJ/F54 9.9626 Tf 5.205 0 Td [(.)]TJ -164.82 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(global)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.745 -11.956 Td [(Speci\002ed)-330(as:)-470(a)-330(number)-330(or)-330(a)-330(rank-one)-330(array)-329(of)-330(long)-330(pr)18(ecision)-330(r)18(eal)-330(num-)]TJ 0 -11.955 Td [(bers.)]TJ +/F57 9.9626 Tf 18.261 0 Td [(is)-250(the)-250(in\002nity)-250(norm)-250(of)-250(the)-250(columns)-250(of)]TJ/F55 9.9626 Tf 166.26 0 Td [(x)]TJ/F57 9.9626 Tf 5.205 0 Td [(.)]TJ -164.82 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(global)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(out)]TJ/F57 9.9626 Tf 14.944 0 Td [(.)]TJ -46.745 -11.956 Td [(Speci\002ed)-330(as:)-470(a)-330(number)-330(or)-330(a)-330(rank-one)-330(array)-329(of)-330(long)-330(pr)18(ecision)-330(r)18(eal)-330(num-)]TJ 0 -11.955 Td [(bers.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.906 -19.925 Td [(info)]TJ +/F54 9.9626 Tf -24.906 -19.925 Td [(info)]TJ 0 g 0 G -/F54 9.9626 Tf 23.8 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(required)]TJ/F54 9.9626 Tf -27.089 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.745 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ +/F57 9.9626 Tf 23.8 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.089 0 Td [(required)]TJ/F57 9.9626 Tf -27.089 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(out)]TJ/F57 9.9626 Tf 14.944 0 Td [(.)]TJ -46.745 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ 0 g 0 G 141.968 -89.943 Td [(38)]TJ 0 g 0 G @@ -10184,14 +10184,14 @@ stream 0 g 0 G 0 g 0 G BT -/F51 11.9552 Tf 99.895 706.129 Td [(4.6)-1000(psb)]TJ +/F54 11.9552 Tf 99.895 706.129 Td [(4.6)-1000(psb)]TJ ET q 1 0 0 1 147.429 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F51 11.9552 Tf 151.016 706.129 Td [(norm1)-250(\227)-250(1-Norm)-250(of)-250(V)111(ector)]TJ/F54 9.9626 Tf -51.121 -18.964 Td [(This)-250(function)-250(computes)-250(the)-250(1-norm)-250(of)-250(a)-250(vector)]TJ/F52 9.9626 Tf 206.349 0 Td [(x)]TJ/F54 9.9626 Tf 5.205 0 Td [(.)]TJ -211.554 -11.955 Td [(If)]TJ/F52 9.9626 Tf 9.46 0 Td [(x)]TJ/F54 9.9626 Tf 7.696 0 Td [(is)-250(a)-250(r)18(eal)-250(vector)-250(it)-250(computes)-250(1-norm)-250(as:)]TJ/F52 9.9626 Tf 125.989 -21.269 Td [(a)-25(s)-25(u)-25(m)]TJ/F83 10.3811 Tf 25.352 0 Td [(\040)-291(k)]TJ/F52 9.9626 Tf 19.007 0 Td [(x)]TJ/F52 7.5716 Tf 5.147 -1.96 Td [(i)]TJ/F83 10.3811 Tf 2.875 1.96 Td [(k)]TJ/F54 9.9626 Tf -195.526 -21.269 Td [(else)-250(if)]TJ/F52 9.9626 Tf 28.159 0 Td [(x)]TJ/F54 9.9626 Tf 7.696 0 Td [(is)-250(a)-250(complex)-250(vector)-250(then)-250(it)-250(computes)-250(1-norm)-250(as:)]TJ/F52 9.9626 Tf 71.974 -21.269 Td [(a)-25(s)-25(u)-25(m)]TJ/F83 10.3811 Tf 25.353 0 Td [(\040)-291(k)]TJ/F52 9.9626 Tf 18.737 0 Td [(r)-17(e)]TJ/F85 10.3811 Tf 8.17 0 Td [(\050)]TJ/F52 9.9626 Tf 4.443 0 Td [(x)]TJ/F85 10.3811 Tf 5.33 0 Td [(\051)]TJ/F83 10.3811 Tf 4.274 0 Td [(k)]TJ/F54 7.5716 Tf 5.315 -1.858 Td [(1)]TJ/F85 10.3811 Tf 6.345 1.858 Td [(+)]TJ/F83 10.3811 Tf 10.256 0 Td [(k)]TJ/F52 9.9626 Tf 5.37 0 Td [(i)-32(m)]TJ/F85 10.3811 Tf 11.088 0 Td [(\050)]TJ/F52 9.9626 Tf 4.444 0 Td [(x)]TJ/F85 10.3811 Tf 5.329 0 Td [(\051)]TJ/F83 10.3811 Tf 4.274 0 Td [(k)]TJ/F54 7.5716 Tf 5.315 -1.858 Td [(1)]TJ/F59 9.9626 Tf -216.928 -19.411 Td [(psb_geasum\050x,)-525(desc_a,)-525(info)-525([,global]\051)-190(psb_norm1\050x,)-525(desc_a,)-525(info)-525([,global]\051)]TJ +/F54 11.9552 Tf 151.016 706.129 Td [(norm1)-250(\227)-250(1-Norm)-250(of)-250(V)111(ector)]TJ/F57 9.9626 Tf -51.121 -18.964 Td [(This)-250(function)-250(computes)-250(the)-250(1-norm)-250(of)-250(a)-250(vector)]TJ/F55 9.9626 Tf 206.349 0 Td [(x)]TJ/F57 9.9626 Tf 5.205 0 Td [(.)]TJ -211.554 -11.955 Td [(If)]TJ/F55 9.9626 Tf 9.46 0 Td [(x)]TJ/F57 9.9626 Tf 7.696 0 Td [(is)-250(a)-250(r)18(eal)-250(vector)-250(it)-250(computes)-250(1-norm)-250(as:)]TJ/F55 9.9626 Tf 125.989 -21.269 Td [(a)-25(s)-25(u)-25(m)]TJ/F86 10.3811 Tf 25.352 0 Td [(\040)-291(k)]TJ/F55 9.9626 Tf 19.007 0 Td [(x)]TJ/F55 7.5716 Tf 5.147 -1.96 Td [(i)]TJ/F86 10.3811 Tf 2.875 1.96 Td [(k)]TJ/F57 9.9626 Tf -195.526 -21.269 Td [(else)-250(if)]TJ/F55 9.9626 Tf 28.159 0 Td [(x)]TJ/F57 9.9626 Tf 7.696 0 Td [(is)-250(a)-250(complex)-250(vector)-250(then)-250(it)-250(computes)-250(1-norm)-250(as:)]TJ/F55 9.9626 Tf 71.974 -21.269 Td [(a)-25(s)-25(u)-25(m)]TJ/F86 10.3811 Tf 25.353 0 Td [(\040)-291(k)]TJ/F55 9.9626 Tf 18.737 0 Td [(r)-17(e)]TJ/F88 10.3811 Tf 8.17 0 Td [(\050)]TJ/F55 9.9626 Tf 4.443 0 Td [(x)]TJ/F88 10.3811 Tf 5.33 0 Td [(\051)]TJ/F86 10.3811 Tf 4.274 0 Td [(k)]TJ/F57 7.5716 Tf 5.315 -1.858 Td [(1)]TJ/F88 10.3811 Tf 6.345 1.858 Td [(+)]TJ/F86 10.3811 Tf 10.256 0 Td [(k)]TJ/F55 9.9626 Tf 5.37 0 Td [(i)-32(m)]TJ/F88 10.3811 Tf 11.088 0 Td [(\050)]TJ/F55 9.9626 Tf 4.444 0 Td [(x)]TJ/F88 10.3811 Tf 5.329 0 Td [(\051)]TJ/F86 10.3811 Tf 4.274 0 Td [(k)]TJ/F57 7.5716 Tf 5.315 -1.858 Td [(1)]TJ/F62 9.9626 Tf -216.928 -19.411 Td [(psb_geasum\050x,)-525(desc_a,)-525(info)-525([,global]\051)-190(psb_norm1\050x,)-525(desc_a,)-525(info)-525([,global]\051)]TJ 0 g 0 G 0 g 0 G 0 g 0 G @@ -10201,42 +10201,42 @@ q []0 d 0 J 0.398 w 0 0 m 286.622 0 l S Q BT -/F52 9.9626 Tf 134.691 567.457 Td [(a)-25(s)-25(u)-25(m)-7810(x)]TJ/F51 9.9626 Tf 220.765 0 Td [(Function)]TJ +/F55 9.9626 Tf 134.691 567.457 Td [(a)-25(s)-25(u)-25(m)-7810(x)]TJ/F54 9.9626 Tf 220.765 0 Td [(Function)]TJ ET q 1 0 0 1 128.44 563.671 cm []0 d 0 J 0.398 w 0 0 m 286.622 0 l S Q BT -/F54 9.9626 Tf 134.417 555.103 Td [(Short)-250(Pr)18(ecision)-250(Real)-1200(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ +/F57 9.9626 Tf 134.417 555.103 Td [(Short)-250(Pr)18(ecision)-250(Real)-1200(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ ET q 1 0 0 1 371.775 555.303 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 374.763 555.103 Td [(geasum)]TJ -240.346 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-1279(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ +/F57 9.9626 Tf 374.763 555.103 Td [(geasum)]TJ -240.346 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-1279(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ ET q 1 0 0 1 371.775 543.347 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 374.763 543.148 Td [(geasum)]TJ -240.346 -11.955 Td [(Short)-250(Pr)18(ecision)-250(Real)-1200(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ +/F57 9.9626 Tf 374.763 543.148 Td [(geasum)]TJ -240.346 -11.955 Td [(Short)-250(Pr)18(ecision)-250(Real)-1200(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ ET q 1 0 0 1 371.775 531.392 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 374.763 531.193 Td [(geasum)]TJ -240.346 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-1279(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ +/F57 9.9626 Tf 374.763 531.193 Td [(geasum)]TJ -240.346 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-1279(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ ET q 1 0 0 1 371.775 519.437 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 374.763 519.238 Td [(geasum)]TJ +/F57 9.9626 Tf 374.763 519.238 Td [(geasum)]TJ ET q 1 0 0 1 128.44 515.452 cm @@ -10244,97 +10244,97 @@ q Q 0 g 0 G BT -/F54 9.9626 Tf 229.958 487.074 Td [(T)92(able)-250(6:)-310(Data)-250(types)]TJ +/F57 9.9626 Tf 229.958 487.074 Td [(T)92(able)-250(6:)-310(Data)-250(types)]TJ 0 g 0 G 0 g 0 G 0 g 0 G -/F51 9.9626 Tf -130.063 -33.561 Td [(T)90(ype:)]TJ +/F54 9.9626 Tf -130.063 -33.561 Td [(T)90(ype:)]TJ 0 g 0 G -/F54 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ +/F57 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ 0 g 0 G -/F51 9.9626 Tf -29.828 -19.665 Td [(On)-250(Entry)]TJ +/F54 9.9626 Tf -29.828 -19.665 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -19.666 Td [(x)]TJ 0 g 0 G -/F54 9.9626 Tf 9.963 0 Td [(the)-250(local)-250(portion)-250(of)-250(global)-250(dense)-250(matrix)]TJ/F52 9.9626 Tf 175.614 0 Td [(x)]TJ/F54 9.9626 Tf 5.205 0 Td [(.)]TJ -165.875 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.956 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-207(as:)-289(a)-208(rank)-207(one)-208(or)-207(two)-207(array)-208(or)-207(an)-208(object)-207(of)-208(type)]TJ +/F57 9.9626 Tf 9.963 0 Td [(the)-250(local)-250(portion)-250(of)-250(global)-250(dense)-250(matrix)]TJ/F55 9.9626 Tf 175.614 0 Td [(x)]TJ/F57 9.9626 Tf 5.205 0 Td [(.)]TJ -165.875 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.956 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-207(as:)-289(a)-208(rank)-207(one)-208(or)-207(two)-207(array)-208(or)-207(an)-208(object)-207(of)-208(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 244.743 0 Td [(psb)]TJ +/F62 9.9626 Tf 244.743 0 Td [(psb)]TJ ET q 1 0 0 1 385.864 366.56 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 389.002 366.361 Td [(T)]TJ +/F62 9.9626 Tf 389.002 366.361 Td [(T)]TJ ET q 1 0 0 1 394.86 366.56 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 397.998 366.361 Td [(vect)]TJ +/F62 9.9626 Tf 397.998 366.361 Td [(vect)]TJ ET q 1 0 0 1 419.547 366.56 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 422.685 366.361 Td [(type)]TJ +/F62 9.9626 Tf 422.685 366.361 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf -297.883 -11.955 Td [(containing)-250(numbers)-250(of)-250(type)-250(speci\002ed)-250(in)-250(T)92(able)]TJ +/F57 9.9626 Tf -297.883 -11.955 Td [(containing)-250(numbers)-250(of)-250(type)-250(speci\002ed)-250(in)-250(T)92(able)]TJ 0 0 1 rg 0 0 1 RG [-250(6)]TJ 0 g 0 G [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.907 -19.666 Td [(desc)]TJ +/F54 9.9626 Tf -24.907 -19.666 Td [(desc)]TJ ET q 1 0 0 1 120.408 334.939 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 123.397 334.74 Td [(a)]TJ +/F54 9.9626 Tf 123.397 334.74 Td [(a)]TJ 0 g 0 G -/F54 9.9626 Tf 9.963 0 Td [(contains)-250(data)-250(str)8(uctur)18(es)-250(for)-250(communications.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.956 Td [(Speci\002ed)-250(as:)-310(an)-250(object)-250(of)-250(type)]TJ +/F57 9.9626 Tf 9.963 0 Td [(contains)-250(data)-250(str)8(uctur)18(es)-250(for)-250(communications.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.956 Td [(Speci\002ed)-250(as:)-310(an)-250(object)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 132.243 0 Td [(psb)]TJ +/F62 9.9626 Tf 132.243 0 Td [(psb)]TJ ET q 1 0 0 1 273.363 287.119 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 276.501 286.919 Td [(desc)]TJ +/F62 9.9626 Tf 276.501 286.919 Td [(desc)]TJ ET q 1 0 0 1 298.05 287.119 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 301.189 286.919 Td [(type)]TJ +/F62 9.9626 Tf 301.189 286.919 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf 20.921 0 Td [(.)]TJ +/F57 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -222.215 -19.665 Td [(global)]TJ +/F54 9.9626 Tf -222.215 -19.665 Td [(global)]TJ 0 g 0 G -/F54 9.9626 Tf 33.764 0 Td [(Speci\002es)-226(whether)-226(the)-227(computation)-226(should)-226(include)-227(the)-226(global)-226(r)18(eduction)]TJ -8.857 -11.955 Td [(acr)18(oss)-250(all)-250(pr)18(ocesses.)]TJ 0 -11.956 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(global)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(optional)]TJ/F54 9.9626 Tf 38.187 0 Td [(.)]TJ -65.275 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(logical)-250(scalar)74(.)-310(Default:)]TJ/F59 9.9626 Tf 165.318 0 Td [(global)]TJ +/F57 9.9626 Tf 33.764 0 Td [(Speci\002es)-226(whether)-226(the)-227(computation)-226(should)-226(include)-227(the)-226(global)-226(r)18(eduction)]TJ -8.857 -11.955 Td [(acr)18(oss)-250(all)-250(pr)18(ocesses.)]TJ 0 -11.956 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(global)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(optional)]TJ/F57 9.9626 Tf 38.187 0 Td [(.)]TJ -65.275 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(logical)-250(scalar)74(.)-310(Default:)]TJ/F62 9.9626 Tf 165.318 0 Td [(global)]TJ 0.40 0.40 0.40 rg 0.40 0.40 0.40 RG [(=)]TJ 0 g 0 G [(.true.)]TJ 0 g 0 G -/F51 9.9626 Tf -190.225 -31.621 Td [(On)-250(Return)]TJ +/F54 9.9626 Tf -190.225 -31.621 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -19.666 Td [(Function)-250(value)]TJ 0 g 0 G -/F54 9.9626 Tf 72.777 0 Td [(is)-250(the)-250(1-norm)-250(of)-250(vector)]TJ/F52 9.9626 Tf 102.161 0 Td [(x)]TJ/F54 9.9626 Tf 5.205 0 Td [(.)]TJ -155.236 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.133 0 Td [(global)]TJ/F54 9.9626 Tf 30.675 0 Td [(unless)-190(the)-190(optional)-190(variable)]TJ/F59 9.9626 Tf 121.612 0 Td [(global)]TJ +/F57 9.9626 Tf 72.777 0 Td [(is)-250(the)-250(1-norm)-250(of)-250(vector)]TJ/F55 9.9626 Tf 102.161 0 Td [(x)]TJ/F57 9.9626 Tf 5.205 0 Td [(.)]TJ -155.236 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.133 0 Td [(global)]TJ/F57 9.9626 Tf 30.675 0 Td [(unless)-190(the)-190(optional)-190(variable)]TJ/F62 9.9626 Tf 121.612 0 Td [(global)]TJ 0.40 0.40 0.40 rg 0.40 0.40 0.40 RG [(=)]TJ 0 g 0 G - [(.false.)]TJ/F54 9.9626 Tf 75.118 0 Td [(has)-190(been)-190(spec-)]TJ -258.538 -11.955 Td [(i\002ed)]TJ 0 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(long)-250(pr)18(ecision)-250(r)18(eal)-250(number)74(.)]TJ + [(.false.)]TJ/F57 9.9626 Tf 75.118 0 Td [(has)-190(been)-190(spec-)]TJ -258.538 -11.955 Td [(i\002ed)]TJ 0 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(long)-250(pr)18(ecision)-250(r)18(eal)-250(number)74(.)]TJ 0 g 0 G 141.968 -29.888 Td [(39)]TJ 0 g 0 G @@ -10351,13 +10351,13 @@ stream 0 g 0 G 0 g 0 G BT -/F51 9.9626 Tf 150.705 706.129 Td [(info)]TJ +/F54 9.9626 Tf 150.705 706.129 Td [(info)]TJ 0 g 0 G -/F54 9.9626 Tf 23.8 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(required)]TJ/F54 9.9626 Tf -27.089 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.745 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ/F51 11.9552 Tf -24.906 -21.918 Td [(Notes)]TJ +/F57 9.9626 Tf 23.8 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.089 0 Td [(required)]TJ/F57 9.9626 Tf -27.089 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(out)]TJ/F57 9.9626 Tf 14.944 0 Td [(.)]TJ -46.745 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ/F54 11.9552 Tf -24.906 -21.918 Td [(Notes)]TJ 0 g 0 G -/F54 9.9626 Tf 12.453 -19.925 Td [(1.)]TJ +/F57 9.9626 Tf 12.453 -19.925 Td [(1.)]TJ 0 g 0 G - [-500(The)-190(computation)-190(of)-190(a)-190(global)-190(r)18(esult)-190(r)18(equir)18(es)-190(a)-190(global)-190(communication,)-202(which)]TJ 12.453 -11.955 Td [(entails)-318(a)-318(signi\002cant)-318(over)18(head.)-513(It)-318(may)-318(be)-318(necessary)-318(and/or)-317(advisable)-318(to)]TJ 0 -11.955 Td [(compute)-333(multiple)-333(norms)-333(at)-332(the)-333(same)-333(time;)-374(in)-333(this)-333(case,)-354(it)-333(i)1(s)-333(possible)-333(to)]TJ 0 -11.955 Td [(impr)18(ove)-250(the)-250(r)8(untime)-250(ef)18(\002ciency)-250(by)-250(using)-250(the)-250(following)-250(scheme:)]TJ/F59 9.9626 Tf 20.922 -19.926 Td [(vres\050)]TJ + [-500(The)-190(computation)-190(of)-190(a)-190(global)-190(r)18(esult)-190(r)18(equir)18(es)-190(a)-190(global)-190(communication,)-202(which)]TJ 12.453 -11.955 Td [(entails)-318(a)-318(signi\002cant)-318(over)18(head.)-513(It)-318(may)-318(be)-318(necessary)-318(and/or)-317(advisable)-318(to)]TJ 0 -11.955 Td [(compute)-333(multiple)-333(norms)-333(at)-332(the)-333(same)-333(time;)-374(in)-333(this)-333(case,)-354(it)-333(i)1(s)-333(possible)-333(to)]TJ 0 -11.955 Td [(impr)18(ove)-250(the)-250(r)8(untime)-250(ef)18(\002ciency)-250(by)-250(using)-250(the)-250(following)-250(scheme:)]TJ/F62 9.9626 Tf 20.922 -19.926 Td [(vres\050)]TJ 0.25 0.63 0.44 rg 0.25 0.63 0.44 RG [(1)]TJ 0 g 0 G @@ -10405,7 +10405,7 @@ BT 0.25 0.63 0.44 rg 0.25 0.63 0.44 RG [(3)]TJ 0 g 0 G - [(\051\051)]TJ/F54 9.9626 Tf -52.304 -19.926 Td [(In)-253(this)-252(way)-253(the)-253(global)-253(communication,)-253(which)-253(for)-252(small)-253(sizes)-253(is)-252(a)-253(latency-)]TJ 0 -11.955 Td [(bound)-250(operation,)-250(is)-250(invoked)-250(only)-250(once.)]TJ + [(\051\051)]TJ/F57 9.9626 Tf -52.304 -19.926 Td [(In)-253(this)-252(way)-253(the)-253(global)-253(communication,)-253(which)-253(for)-252(small)-253(sizes)-253(is)-252(a)-253(latency-)]TJ 0 -11.955 Td [(bound)-250(operation,)-250(is)-250(invoked)-250(only)-250(once.)]TJ 0 g 0 G 141.968 -402.49 Td [(40)]TJ 0 g 0 G @@ -10421,16 +10421,16 @@ stream 0 g 0 G 0 g 0 G BT -/F51 11.9552 Tf 99.895 706.129 Td [(4.7)-1000(psb)]TJ +/F54 11.9552 Tf 99.895 706.129 Td [(4.7)-1000(psb)]TJ ET q 1 0 0 1 147.429 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F51 11.9552 Tf 151.016 706.129 Td [(geasums)-250(\227)-250(Generalized)-250(1-Norm)-250(of)-250(V)111(ector)]TJ/F54 9.9626 Tf -51.121 -20.192 Td [(This)-216(subr)18(outine)-217(computes)-216(a)-217(series)-216(of)-216(1-norms)-217(on)-216(the)-217(columns)-216(of)-216(a)-217(dense)-216(matrix)]TJ/F52 9.9626 Tf 0.294 -11.955 Td [(x)]TJ/F54 9.9626 Tf 5.206 0 Td [(:)]TJ/F52 9.9626 Tf 120.031 -13.856 Td [(r)-17(e)-25(s)]TJ/F85 10.3811 Tf 12.293 0 Td [(\050)]TJ/F52 9.9626 Tf 4.205 0 Td [(i)]TJ/F85 10.3811 Tf 3.088 0 Td [(\051)]TJ/F83 10.3811 Tf 7.041 0 Td [(\040)]TJ/F54 9.9626 Tf 13.273 0 Td [(max)]TJ/F52 7.5716 Tf 7.76 -7.335 Td [(k)]TJ/F83 10.3811 Tf 12.944 7.335 Td [(j)]TJ/F52 9.9626 Tf 3.298 0 Td [(x)]TJ/F85 10.3811 Tf 5.33 0 Td [(\050)]TJ/F52 9.9626 Tf 4.273 0 Td [(k)]TJ/F54 9.9626 Tf 4.598 0 Td [(,)]TJ/F52 9.9626 Tf 4.206 0 Td [(i)]TJ/F85 10.3811 Tf 3.088 0 Td [(\051)]TJ/F83 10.3811 Tf 4.274 0 Td [(j)]TJ/F54 9.9626 Tf -215.202 -24.535 Td [(This)-250(function)-250(computes)-250(the)-250(1-norm)-250(of)-250(a)-250(vector)]TJ/F52 9.9626 Tf 206.349 0 Td [(x)]TJ/F54 9.9626 Tf 5.205 0 Td [(.)]TJ -211.554 -11.955 Td [(If)]TJ/F52 9.9626 Tf 9.46 0 Td [(x)]TJ/F54 9.9626 Tf 7.696 0 Td [(is)-250(a)-250(r)18(eal)-250(vector)-250(it)-250(computes)-250(1-norm)-250(as:)]TJ/F52 9.9626 Tf 125.227 -23.185 Td [(r)-17(e)-25(s)]TJ/F85 10.3811 Tf 12.293 0 Td [(\050)]TJ/F52 9.9626 Tf 4.205 0 Td [(i)]TJ/F85 10.3811 Tf 3.088 0 Td [(\051)]TJ/F83 10.3811 Tf 7.041 0 Td [(\040)-291(k)]TJ/F52 9.9626 Tf 19.007 0 Td [(x)]TJ/F52 7.5716 Tf 5.147 -1.96 Td [(i)]TJ/F83 10.3811 Tf 2.875 1.96 Td [(k)]TJ/F54 9.9626 Tf -196.039 -23.185 Td [(else)-250(if)]TJ/F52 9.9626 Tf 28.159 0 Td [(x)]TJ/F54 9.9626 Tf 7.696 0 Td [(is)-250(a)-250(complex)-250(vector)-250(then)-250(it)-250(computes)-250(1-norm)-250(as:)]TJ/F52 9.9626 Tf 71.212 -23.185 Td [(r)-17(e)-25(s)]TJ/F85 10.3811 Tf 12.294 0 Td [(\050)]TJ/F52 9.9626 Tf 4.204 0 Td [(i)]TJ/F85 10.3811 Tf 3.089 0 Td [(\051)]TJ/F83 10.3811 Tf 7.041 0 Td [(\040)-291(k)]TJ/F52 9.9626 Tf 18.737 0 Td [(r)-17(e)]TJ/F85 10.3811 Tf 8.169 0 Td [(\050)]TJ/F52 9.9626 Tf 4.444 0 Td [(x)]TJ/F85 10.3811 Tf 5.33 0 Td [(\051)]TJ/F83 10.3811 Tf 4.274 0 Td [(k)]TJ/F54 7.5716 Tf 5.315 -1.858 Td [(1)]TJ/F85 10.3811 Tf 6.345 1.858 Td [(+)]TJ/F83 10.3811 Tf 10.256 0 Td [(k)]TJ/F52 9.9626 Tf 5.37 0 Td [(i)-32(m)]TJ/F85 10.3811 Tf 11.088 0 Td [(\050)]TJ/F52 9.9626 Tf 4.443 0 Td [(x)]TJ/F85 10.3811 Tf 5.33 0 Td [(\051)]TJ/F83 10.3811 Tf 4.274 0 Td [(k)]TJ/F54 7.5716 Tf 5.315 -1.858 Td [(1)]TJ +/F54 11.9552 Tf 151.016 706.129 Td [(geasums)-250(\227)-250(Generalized)-250(1-Norm)-250(of)-250(V)111(ector)]TJ/F57 9.9626 Tf -51.121 -20.192 Td [(This)-216(subr)18(outine)-217(computes)-216(a)-217(series)-216(of)-216(1-norms)-217(on)-216(the)-217(columns)-216(of)-216(a)-217(dense)-216(matrix)]TJ/F55 9.9626 Tf 0.294 -11.955 Td [(x)]TJ/F57 9.9626 Tf 5.206 0 Td [(:)]TJ/F55 9.9626 Tf 120.031 -13.856 Td [(r)-17(e)-25(s)]TJ/F88 10.3811 Tf 12.293 0 Td [(\050)]TJ/F55 9.9626 Tf 4.205 0 Td [(i)]TJ/F88 10.3811 Tf 3.088 0 Td [(\051)]TJ/F86 10.3811 Tf 7.041 0 Td [(\040)]TJ/F57 9.9626 Tf 13.273 0 Td [(max)]TJ/F55 7.5716 Tf 7.76 -7.335 Td [(k)]TJ/F86 10.3811 Tf 12.944 7.335 Td [(j)]TJ/F55 9.9626 Tf 3.298 0 Td [(x)]TJ/F88 10.3811 Tf 5.33 0 Td [(\050)]TJ/F55 9.9626 Tf 4.273 0 Td [(k)]TJ/F57 9.9626 Tf 4.598 0 Td [(,)]TJ/F55 9.9626 Tf 4.206 0 Td [(i)]TJ/F88 10.3811 Tf 3.088 0 Td [(\051)]TJ/F86 10.3811 Tf 4.274 0 Td [(j)]TJ/F57 9.9626 Tf -215.202 -24.535 Td [(This)-250(function)-250(computes)-250(the)-250(1-norm)-250(of)-250(a)-250(vector)]TJ/F55 9.9626 Tf 206.349 0 Td [(x)]TJ/F57 9.9626 Tf 5.205 0 Td [(.)]TJ -211.554 -11.955 Td [(If)]TJ/F55 9.9626 Tf 9.46 0 Td [(x)]TJ/F57 9.9626 Tf 7.696 0 Td [(is)-250(a)-250(r)18(eal)-250(vector)-250(it)-250(computes)-250(1-norm)-250(as:)]TJ/F55 9.9626 Tf 125.227 -23.185 Td [(r)-17(e)-25(s)]TJ/F88 10.3811 Tf 12.293 0 Td [(\050)]TJ/F55 9.9626 Tf 4.205 0 Td [(i)]TJ/F88 10.3811 Tf 3.088 0 Td [(\051)]TJ/F86 10.3811 Tf 7.041 0 Td [(\040)-291(k)]TJ/F55 9.9626 Tf 19.007 0 Td [(x)]TJ/F55 7.5716 Tf 5.147 -1.96 Td [(i)]TJ/F86 10.3811 Tf 2.875 1.96 Td [(k)]TJ/F57 9.9626 Tf -196.039 -23.185 Td [(else)-250(if)]TJ/F55 9.9626 Tf 28.159 0 Td [(x)]TJ/F57 9.9626 Tf 7.696 0 Td [(is)-250(a)-250(complex)-250(vector)-250(then)-250(it)-250(computes)-250(1-norm)-250(as:)]TJ/F55 9.9626 Tf 71.212 -23.185 Td [(r)-17(e)-25(s)]TJ/F88 10.3811 Tf 12.294 0 Td [(\050)]TJ/F55 9.9626 Tf 4.204 0 Td [(i)]TJ/F88 10.3811 Tf 3.089 0 Td [(\051)]TJ/F86 10.3811 Tf 7.041 0 Td [(\040)-291(k)]TJ/F55 9.9626 Tf 18.737 0 Td [(r)-17(e)]TJ/F88 10.3811 Tf 8.169 0 Td [(\050)]TJ/F55 9.9626 Tf 4.444 0 Td [(x)]TJ/F88 10.3811 Tf 5.33 0 Td [(\051)]TJ/F86 10.3811 Tf 4.274 0 Td [(k)]TJ/F57 7.5716 Tf 5.315 -1.858 Td [(1)]TJ/F88 10.3811 Tf 6.345 1.858 Td [(+)]TJ/F86 10.3811 Tf 10.256 0 Td [(k)]TJ/F55 9.9626 Tf 5.37 0 Td [(i)-32(m)]TJ/F88 10.3811 Tf 11.088 0 Td [(\050)]TJ/F55 9.9626 Tf 4.443 0 Td [(x)]TJ/F88 10.3811 Tf 5.33 0 Td [(\051)]TJ/F86 10.3811 Tf 4.274 0 Td [(k)]TJ/F57 7.5716 Tf 5.315 -1.858 Td [(1)]TJ 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG -/F59 9.9626 Tf -212.21 -21.96 Td [(call)]TJ +/F62 9.9626 Tf -212.21 -21.96 Td [(call)]TJ 0 g 0 G [-525(psb_geasums\050res,)-525(x,)-525(desc_a,)-525(info\051)]TJ 0 g 0 G @@ -10442,42 +10442,42 @@ q []0 d 0 J 0.398 w 0 0 m 290.846 0 l S Q BT -/F52 9.9626 Tf 132.33 506.059 Td [(r)-17(e)-25(s)-8868(x)]TJ/F51 9.9626 Tf 221.014 0 Td [(Subroutine)]TJ +/F55 9.9626 Tf 132.33 506.059 Td [(r)-17(e)-25(s)-8868(x)]TJ/F54 9.9626 Tf 221.014 0 Td [(Subroutine)]TJ ET q 1 0 0 1 126.328 502.274 cm []0 d 0 J 0.398 w 0 0 m 290.846 0 l S Q BT -/F54 9.9626 Tf 132.305 493.706 Td [(Short)-250(Pr)18(ecision)-250(Real)-1200(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ +/F57 9.9626 Tf 132.305 493.706 Td [(Short)-250(Pr)18(ecision)-250(Real)-1200(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ ET q 1 0 0 1 369.663 493.905 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 372.651 493.706 Td [(geasums)]TJ -240.346 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-1279(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ +/F57 9.9626 Tf 372.651 493.706 Td [(geasums)]TJ -240.346 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-1279(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ ET q 1 0 0 1 369.663 481.95 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 372.651 481.751 Td [(geasums)]TJ -240.346 -11.956 Td [(Short)-250(Pr)18(ecision)-250(Real)-1200(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ +/F57 9.9626 Tf 372.651 481.751 Td [(geasums)]TJ -240.346 -11.956 Td [(Short)-250(Pr)18(ecision)-250(Real)-1200(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ ET q 1 0 0 1 369.663 469.995 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 372.651 469.795 Td [(geasums)]TJ -240.346 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-1279(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ +/F57 9.9626 Tf 372.651 469.795 Td [(geasums)]TJ -240.346 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-1279(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ ET q 1 0 0 1 369.663 458.04 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 372.651 457.84 Td [(geasums)]TJ +/F57 9.9626 Tf 372.651 457.84 Td [(geasums)]TJ ET q 1 0 0 1 126.328 454.054 cm @@ -10485,85 +10485,85 @@ q Q 0 g 0 G BT -/F54 9.9626 Tf 229.958 425.676 Td [(T)92(able)-250(7:)-310(Data)-250(types)]TJ +/F57 9.9626 Tf 229.958 425.676 Td [(T)92(able)-250(7:)-310(Data)-250(types)]TJ 0 g 0 G 0 g 0 G 0 g 0 G -/F51 9.9626 Tf -130.063 -37.636 Td [(T)90(ype:)]TJ +/F54 9.9626 Tf -130.063 -37.636 Td [(T)90(ype:)]TJ 0 g 0 G -/F54 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ +/F57 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ 0 g 0 G -/F51 9.9626 Tf -29.828 -22.46 Td [(On)-250(Entry)]TJ +/F54 9.9626 Tf -29.828 -22.46 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -22.459 Td [(x)]TJ 0 g 0 G -/F54 9.9626 Tf 9.963 0 Td [(the)-250(local)-250(portion)-250(of)-250(global)-250(dense)-250(matrix)]TJ/F52 9.9626 Tf 175.614 0 Td [(x)]TJ/F54 9.9626 Tf 5.205 0 Td [(.)]TJ -165.875 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.956 Td [(Speci\002ed)-207(as:)-289(a)-208(rank)-207(one)-208(or)-207(two)-207(array)-208(or)-207(an)-208(object)-207(of)-208(type)]TJ +/F57 9.9626 Tf 9.963 0 Td [(the)-250(local)-250(portion)-250(of)-250(global)-250(dense)-250(matrix)]TJ/F55 9.9626 Tf 175.614 0 Td [(x)]TJ/F57 9.9626 Tf 5.205 0 Td [(.)]TJ -165.875 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.956 Td [(Speci\002ed)-207(as:)-289(a)-208(rank)-207(one)-208(or)-207(two)-207(array)-208(or)-207(an)-208(object)-207(of)-208(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 244.743 0 Td [(psb)]TJ +/F62 9.9626 Tf 244.743 0 Td [(psb)]TJ ET q 1 0 0 1 385.864 295.5 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 389.002 295.3 Td [(T)]TJ +/F62 9.9626 Tf 389.002 295.3 Td [(T)]TJ ET q 1 0 0 1 394.86 295.5 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 397.998 295.3 Td [(vect)]TJ +/F62 9.9626 Tf 397.998 295.3 Td [(vect)]TJ ET q 1 0 0 1 419.547 295.5 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 422.685 295.3 Td [(type)]TJ +/F62 9.9626 Tf 422.685 295.3 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf -297.883 -11.955 Td [(containing)-250(numbers)-250(of)-250(type)-250(speci\002ed)-250(in)-250(T)92(able)]TJ +/F57 9.9626 Tf -297.883 -11.955 Td [(containing)-250(numbers)-250(of)-250(type)-250(speci\002ed)-250(in)-250(T)92(able)]TJ 0 0 1 rg 0 0 1 RG [-250(7)]TJ 0 g 0 G [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.907 -22.459 Td [(desc)]TJ +/F54 9.9626 Tf -24.907 -22.459 Td [(desc)]TJ ET q 1 0 0 1 120.408 261.085 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 123.397 260.886 Td [(a)]TJ +/F54 9.9626 Tf 123.397 260.886 Td [(a)]TJ 0 g 0 G -/F54 9.9626 Tf 9.963 0 Td [(contains)-250(data)-250(str)8(uctur)18(es)-250(for)-250(communications.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.956 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(object)-250(of)-250(type)]TJ +/F57 9.9626 Tf 9.963 0 Td [(contains)-250(data)-250(str)8(uctur)18(es)-250(for)-250(communications.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.956 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(object)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 132.243 0 Td [(psb)]TJ +/F62 9.9626 Tf 132.243 0 Td [(psb)]TJ ET q 1 0 0 1 273.363 213.264 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 276.501 213.065 Td [(desc)]TJ +/F62 9.9626 Tf 276.501 213.065 Td [(desc)]TJ ET q 1 0 0 1 298.05 213.264 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 301.189 213.065 Td [(type)]TJ +/F62 9.9626 Tf 301.189 213.065 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf 20.921 0 Td [(.)]TJ +/F57 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -222.215 -22.459 Td [(On)-250(Return)]TJ +/F54 9.9626 Tf -222.215 -22.459 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -22.46 Td [(res)]TJ 0 g 0 G -/F54 9.9626 Tf 18.262 0 Td [(contains)-250(the)-250(1-norm)-250(of)-250(\050the)-250(columns)-250(of\051)]TJ/F52 9.9626 Tf 176.182 0 Td [(x)]TJ/F54 9.9626 Tf 5.205 0 Td [(.)]TJ -174.742 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(global)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(Short)-255(as:)-320(a)-255(long)-254(pr)18(ecision)-255(r)18(eal)-255(number)74(.)-325(Speci\002ed)-255(as:)-320(a)-254(long)-255(pr)18(ecision)-255(r)18(eal)]TJ 0 -11.955 Td [(number)74(.)]TJ +/F57 9.9626 Tf 18.262 0 Td [(contains)-250(the)-250(1-norm)-250(of)-250(\050the)-250(columns)-250(of\051)]TJ/F55 9.9626 Tf 176.182 0 Td [(x)]TJ/F57 9.9626 Tf 5.205 0 Td [(.)]TJ -174.742 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(global)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(out)]TJ/F57 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(Short)-255(as:)-320(a)-255(long)-254(pr)18(ecision)-255(r)18(eal)-255(number)74(.)-325(Speci\002ed)-255(as:)-320(a)-254(long)-255(pr)18(ecision)-255(r)18(eal)]TJ 0 -11.955 Td [(number)74(.)]TJ 0 g 0 G 141.968 -29.888 Td [(41)]TJ 0 g 0 G @@ -10580,9 +10580,9 @@ stream 0 g 0 G 0 g 0 G BT -/F51 9.9626 Tf 150.705 706.129 Td [(info)]TJ +/F54 9.9626 Tf 150.705 706.129 Td [(info)]TJ 0 g 0 G -/F54 9.9626 Tf 23.8 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(required)]TJ/F54 9.9626 Tf -27.089 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.745 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ +/F57 9.9626 Tf 23.8 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.089 0 Td [(required)]TJ/F57 9.9626 Tf -27.089 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(out)]TJ/F57 9.9626 Tf 14.944 0 Td [(.)]TJ -46.745 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ 0 g 0 G 141.968 -567.87 Td [(42)]TJ 0 g 0 G @@ -10598,28 +10598,28 @@ stream 0 g 0 G 0 g 0 G BT -/F51 11.9552 Tf 99.895 706.129 Td [(4.8)-1000(psb)]TJ +/F54 11.9552 Tf 99.895 706.129 Td [(4.8)-1000(psb)]TJ ET q 1 0 0 1 147.429 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F51 11.9552 Tf 151.016 706.129 Td [(norm2)-250(\227)-250(2-Norm)-250(of)-250(V)111(ector)]TJ/F54 9.9626 Tf -51.121 -20.076 Td [(This)-250(function)-250(computes)-250(the)-250(2-norm)-250(of)-250(a)-250(vector)]TJ/F52 9.9626 Tf 206.349 0 Td [(x)]TJ/F54 9.9626 Tf 5.205 0 Td [(.)]TJ -211.554 -11.955 Td [(If)]TJ/F52 9.9626 Tf 9.46 0 Td [(x)]TJ/F54 9.9626 Tf 7.696 0 Td [(is)-250(a)-250(r)18(eal)-250(vector)-250(it)-250(computes)-250(2-norm)-250(as:)]TJ/F52 9.9626 Tf 122.551 -25.46 Td [(n)-15(r)-35(m)]TJ/F54 9.9626 Tf 17.788 0 Td [(2)]TJ/F83 10.3811 Tf 7.873 0 Td [(\040)]TJ 13.397 9.727 Td [(p)]TJ +/F54 11.9552 Tf 151.016 706.129 Td [(norm2)-250(\227)-250(2-Norm)-250(of)-250(V)111(ector)]TJ/F57 9.9626 Tf -51.121 -20.076 Td [(This)-250(function)-250(computes)-250(the)-250(2-norm)-250(of)-250(a)-250(vector)]TJ/F55 9.9626 Tf 206.349 0 Td [(x)]TJ/F57 9.9626 Tf 5.205 0 Td [(.)]TJ -211.554 -11.955 Td [(If)]TJ/F55 9.9626 Tf 9.46 0 Td [(x)]TJ/F57 9.9626 Tf 7.696 0 Td 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[(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.956 Td [(Speci\002ed)-250(as:)-310(an)-250(object)-250(of)-250(type)]TJ +/F57 9.9626 Tf 9.963 0 Td [(contains)-250(data)-250(str)8(uctur)18(es)-250(for)-250(communications.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.956 Td [(Speci\002ed)-250(as:)-310(an)-250(object)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 132.243 0 Td [(psb)]TJ +/F62 9.9626 Tf 132.243 0 Td [(psb)]TJ ET q 1 0 0 1 273.363 340.361 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 276.501 340.161 Td [(desc)]TJ +/F62 9.9626 Tf 276.501 340.161 Td [(desc)]TJ ET q 1 0 0 1 298.05 340.361 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 301.189 340.161 Td [(type)]TJ +/F62 9.9626 Tf 301.189 340.161 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf 20.921 0 Td [(.)]TJ +/F57 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -222.215 -19.925 Td [(On)-250(Return)]TJ +/F54 9.9626 Tf -222.215 -19.925 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -19.925 Td [(res)]TJ 0 g 0 G -/F54 9.9626 Tf 18.262 0 Td [(contains)-250(the)-250(1-norm)-250(of)-250(\050the)-250(columns)-250(of\051)]TJ/F52 9.9626 Tf 176.182 0 Td [(x)]TJ/F54 9.9626 Tf 5.205 0 Td [(.)]TJ -174.742 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(global)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.956 Td [(Speci\002ed)-250(as:)-310(a)-250(long)-250(pr)18(ecision)-250(r)18(eal)-250(number)74(.)]TJ +/F57 9.9626 Tf 18.262 0 Td [(contains)-250(the)-250(1-norm)-250(of)-250(\050the)-250(columns)-250(of\051)]TJ/F55 9.9626 Tf 176.182 0 Td [(x)]TJ/F57 9.9626 Tf 5.205 0 Td [(.)]TJ -174.742 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(global)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(out)]TJ/F57 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.956 Td [(Speci\002ed)-250(as:)-310(a)-250(long)-250(pr)18(ecision)-250(r)18(eal)-250(number)74(.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.907 -19.925 Td [(info)]TJ +/F54 9.9626 Tf -24.907 -19.925 Td [(info)]TJ 0 g 0 G -/F54 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.956 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ +/F57 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(out)]TJ/F57 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.956 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ 0 g 0 G 141.968 -106.261 Td [(45)]TJ 0 g 0 G @@ -11666,18 +11666,18 @@ stream 0 g 0 G 0 g 0 G BT -/F51 11.9552 Tf 150.705 706.129 Td [(4.10)-1000(psb)]TJ +/F54 11.9552 Tf 150.705 706.129 Td [(4.10)-1000(psb)]TJ ET q 1 0 0 1 204.216 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F51 11.9552 Tf 207.803 706.129 Td [(norm1)-250(\227)-250(1-Norm)-250(of)-250(Sparse)-250(Matrix)]TJ/F54 9.9626 Tf -57.098 -18.964 Td [(This)-250(function)-250(computes)-250(the)-250(1-norm)-250(of)-250(a)-250(matrix)]TJ/F52 9.9626 Tf 208.231 0 Td [(A)]TJ/F54 9.9626 Tf 7.318 0 Td [(:)]TJ/F52 9.9626 Tf -74.65 -33.873 Td [(n)-15(r)-35(m)]TJ/F54 9.9626 Tf 17.788 0 Td [(1)]TJ/F83 10.3811 Tf 7.873 0 Td [(\040)-291(k)]TJ/F52 9.9626 Tf 19.335 0 Td [(A)]TJ/F83 10.3811 Tf 7.442 0 Td [(k)]TJ/F54 7.5716 Tf 5.315 -1.858 Td [(1)]TJ/F54 9.9626 Tf -198.652 -20.06 Td [(wher)18(e:)]TJ +/F54 11.9552 Tf 207.803 706.129 Td [(norm1)-250(\227)-250(1-Norm)-250(of)-250(Sparse)-250(Matrix)]TJ/F57 9.9626 Tf -57.098 -18.964 Td [(This)-250(function)-250(computes)-250(the)-250(1-norm)-250(of)-250(a)-250(matrix)]TJ/F55 9.9626 Tf 208.231 0 Td [(A)]TJ/F57 9.9626 Tf 7.318 0 Td [(:)]TJ/F55 9.9626 Tf -74.65 -33.873 Td [(n)-15(r)-35(m)]TJ/F57 9.9626 Tf 17.788 0 Td [(1)]TJ/F86 10.3811 Tf 7.873 0 Td [(\040)-291(k)]TJ/F55 9.9626 Tf 19.335 0 Td [(A)]TJ/F86 10.3811 Tf 7.442 0 Td [(k)]TJ/F57 7.5716 Tf 5.315 -1.858 Td [(1)]TJ/F57 9.9626 Tf -198.652 -20.06 Td [(wher)18(e:)]TJ 0 g 0 G -/F52 9.9626 Tf 0.622 -19.925 Td [(A)]TJ +/F55 9.9626 Tf 0.622 -19.925 Td [(A)]TJ 0 g 0 G -/F54 9.9626 Tf 12.299 0 Td [(r)18(epr)18(esents)-250(the)-250(global)-250(matrix)]TJ/F52 9.9626 Tf 125.981 0 Td [(A)]TJ +/F57 9.9626 Tf 12.299 0 Td [(r)18(epr)18(esents)-250(the)-250(global)-250(matrix)]TJ/F55 9.9626 Tf 125.981 0 Td [(A)]TJ 0 g 0 G 0 g 0 G 0 g 0 G @@ -11687,42 +11687,42 @@ q []0 d 0 J 0.398 w 0 0 m 185.901 0 l S Q BT -/F52 9.9626 Tf 236.21 579.947 Td [(A)]TJ/F51 9.9626 Tf 120.293 0 Td [(Function)]TJ +/F55 9.9626 Tf 236.21 579.947 Td [(A)]TJ/F54 9.9626 Tf 120.293 0 Td [(Function)]TJ ET q 1 0 0 1 229.61 576.161 cm []0 d 0 J 0.398 w 0 0 m 185.901 0 l S Q BT -/F54 9.9626 Tf 235.587 567.594 Td [(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ +/F57 9.9626 Tf 235.587 567.594 Td [(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ ET q 1 0 0 1 372.821 567.793 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 375.81 567.594 Td [(spnrm1)]TJ -140.223 -11.956 Td [(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ +/F57 9.9626 Tf 375.81 567.594 Td [(spnrm1)]TJ -140.223 -11.956 Td [(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ ET q 1 0 0 1 372.821 555.838 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 375.81 555.638 Td [(spnrm1)]TJ -140.223 -11.955 Td [(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ +/F57 9.9626 Tf 375.81 555.638 Td [(spnrm1)]TJ -140.223 -11.955 Td [(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ ET q 1 0 0 1 372.821 543.882 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 375.81 543.683 Td [(spnrm1)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ +/F57 9.9626 Tf 375.81 543.683 Td [(spnrm1)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ ET q 1 0 0 1 372.821 531.927 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 375.81 531.728 Td [(spnrm1)]TJ +/F57 9.9626 Tf 375.81 531.728 Td [(spnrm1)]TJ ET q 1 0 0 1 229.61 527.942 cm @@ -11730,81 +11730,81 @@ q Q 0 g 0 G BT -/F54 9.9626 Tf 278.277 499.564 Td [(T)92(able)-250(10:)-310(Data)-250(types)]TJ +/F57 9.9626 Tf 278.277 499.564 Td [(T)92(able)-250(10:)-310(Data)-250(types)]TJ 0 g 0 G 0 g 0 G 0 g 0 G 0 g 0 G -/F59 9.9626 Tf -127.572 -33.873 Td [(psb_spnrm1\050A,)-525(desc_a,)-525(info\051)]TJ 0 -11.955 Td [(psb_norm1\050A,)-525(desc_a,)-525(info\051)]TJ +/F62 9.9626 Tf -127.572 -33.873 Td [(psb_spnrm1\050A,)-525(desc_a,)-525(info\051)]TJ 0 -11.955 Td [(psb_norm1\050A,)-525(desc_a,)-525(info\051)]TJ 0 g 0 G -/F51 9.9626 Tf 0 -21.918 Td [(T)90(ype:)]TJ +/F54 9.9626 Tf 0 -21.918 Td [(T)90(ype:)]TJ 0 g 0 G -/F54 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ +/F57 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ 0 g 0 G -/F51 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ +/F54 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -19.926 Td [(a)]TJ 0 g 0 G -/F54 9.9626 Tf 9.963 0 Td [(the)-250(local)-250(portion)-250(of)-250(the)-250(global)-250(sparse)-250(matrix)]TJ/F52 9.9626 Tf 194.722 0 Td [(A)]TJ/F54 9.9626 Tf 7.317 0 Td [(.)]TJ -187.095 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.431 0 Td [(local)]TJ/F54 9.9626 Tf -31.431 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(object)-250(of)-250(type)]TJ +/F57 9.9626 Tf 9.963 0 Td [(the)-250(local)-250(portion)-250(of)-250(the)-250(global)-250(sparse)-250(matrix)]TJ/F55 9.9626 Tf 194.722 0 Td [(A)]TJ/F57 9.9626 Tf 7.317 0 Td [(.)]TJ -187.095 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.431 0 Td [(local)]TJ/F57 9.9626 Tf -31.431 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(object)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 132.242 0 Td [(psb)]TJ +/F62 9.9626 Tf 132.242 0 Td [(psb)]TJ ET q 1 0 0 1 324.173 344.346 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 327.311 344.147 Td [(Tspmat)]TJ +/F62 9.9626 Tf 327.311 344.147 Td [(Tspmat)]TJ ET q 1 0 0 1 359.321 344.346 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 362.459 344.147 Td [(type)]TJ +/F62 9.9626 Tf 362.459 344.147 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf 20.921 0 Td [(.)]TJ +/F57 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -232.675 -19.926 Td [(desc)]TJ +/F54 9.9626 Tf -232.675 -19.926 Td [(desc)]TJ ET q 1 0 0 1 171.218 324.421 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 174.207 324.221 Td [(a)]TJ +/F54 9.9626 Tf 174.207 324.221 Td [(a)]TJ 0 g 0 G -/F54 9.9626 Tf 9.962 0 Td [(contains)-250(data)-250(str)8(uctur)18(es)-250(for)-250(communications.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(required)]TJ/F54 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(in)]TJ/F54 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(object)-250(of)-250(type)]TJ +/F57 9.9626 Tf 9.962 0 Td [(contains)-250(data)-250(str)8(uctur)18(es)-250(for)-250(communications.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.089 0 Td [(required)]TJ/F57 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(in)]TJ/F57 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(object)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 132.243 0 Td [(psb)]TJ +/F62 9.9626 Tf 132.243 0 Td [(psb)]TJ ET q 1 0 0 1 324.173 276.6 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 327.311 276.401 Td [(desc)]TJ +/F62 9.9626 Tf 327.311 276.401 Td [(desc)]TJ ET q 1 0 0 1 348.86 276.6 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 351.998 276.401 Td [(type)]TJ +/F62 9.9626 Tf 351.998 276.401 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf 20.921 0 Td [(.)]TJ +/F57 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -222.214 -19.926 Td [(On)-250(Return)]TJ +/F54 9.9626 Tf -222.214 -19.926 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -19.925 Td [(Function)-250(value)]TJ 0 g 0 G -/F54 9.9626 Tf 72.776 0 Td [(is)-250(the)-250(1-norm)-250(of)-250(sparse)-250(submatrix)]TJ/F52 9.9626 Tf 150.4 0 Td [(A)]TJ/F54 9.9626 Tf 7.317 0 Td [(.)]TJ -205.587 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(global)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(long)-250(pr)18(ecision)-250(r)18(eal)-250(number)74(.)]TJ +/F57 9.9626 Tf 72.776 0 Td [(is)-250(the)-250(1-norm)-250(of)-250(sparse)-250(submatrix)]TJ/F55 9.9626 Tf 150.4 0 Td [(A)]TJ/F57 9.9626 Tf 7.317 0 Td [(.)]TJ -205.587 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(global)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(long)-250(pr)18(ecision)-250(r)18(eal)-250(number)74(.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.906 -19.926 Td [(info)]TJ +/F54 9.9626 Tf -24.906 -19.926 Td [(info)]TJ 0 g 0 G -/F54 9.9626 Tf 23.8 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(required)]TJ/F54 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.745 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ +/F57 9.9626 Tf 23.8 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.089 0 Td [(required)]TJ/F57 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(out)]TJ/F57 9.9626 Tf 14.944 0 Td [(.)]TJ -46.745 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ 0 g 0 G 141.968 -54.456 Td [(46)]TJ 0 g 0 G @@ -11820,18 +11820,18 @@ stream 0 g 0 G 0 g 0 G BT -/F51 11.9552 Tf 99.895 706.129 Td [(4.11)-1000(psb)]TJ +/F54 11.9552 Tf 99.895 706.129 Td [(4.11)-1000(psb)]TJ ET q 1 0 0 1 153.407 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F51 11.9552 Tf 156.993 706.129 Td [(normi)-250(\227)-250(In\002nity)-250(Norm)-250(of)-250(Sparse)-250(Matrix)]TJ/F54 9.9626 Tf -57.098 -18.964 Td [(This)-250(function)-250(computes)-250(the)-250(in\002nity-norm)-250(of)-250(a)-250(matrix)]TJ/F52 9.9626 Tf 235.459 0 Td [(A)]TJ/F54 9.9626 Tf 7.318 0 Td [(:)]TJ/F52 9.9626 Tf -102.327 -33.873 Td [(n)-15(r)-35(m)-18(i)]TJ/F83 10.3811 Tf 23.698 0 Td [(\040)-291(k)]TJ/F52 9.9626 Tf 19.336 0 Td [(A)]TJ/F83 10.3811 Tf 7.442 0 Td [(k)]TJ/F96 7.5716 Tf 5.409 -1.494 Td [(\245)]TJ/F54 9.9626 Tf -196.335 -20.424 Td [(wher)18(e:)]TJ +/F54 11.9552 Tf 156.993 706.129 Td [(normi)-250(\227)-250(In\002nity)-250(Norm)-250(of)-250(Sparse)-250(Matrix)]TJ/F57 9.9626 Tf -57.098 -18.964 Td [(This)-250(function)-250(computes)-250(the)-250(in\002nity-norm)-250(of)-250(a)-250(matrix)]TJ/F55 9.9626 Tf 235.459 0 Td [(A)]TJ/F57 9.9626 Tf 7.318 0 Td [(:)]TJ/F55 9.9626 Tf -102.327 -33.873 Td [(n)-15(r)-35(m)-18(i)]TJ/F86 10.3811 Tf 23.698 0 Td [(\040)-291(k)]TJ/F55 9.9626 Tf 19.336 0 Td [(A)]TJ/F86 10.3811 Tf 7.442 0 Td [(k)]TJ/F99 7.5716 Tf 5.409 -1.494 Td [(\245)]TJ/F57 9.9626 Tf -196.335 -20.424 Td [(wher)18(e:)]TJ 0 g 0 G -/F52 9.9626 Tf 0.623 -19.925 Td [(A)]TJ +/F55 9.9626 Tf 0.623 -19.925 Td [(A)]TJ 0 g 0 G -/F54 9.9626 Tf 12.299 0 Td [(r)18(epr)18(esents)-250(the)-250(global)-250(matrix)]TJ/F52 9.9626 Tf 125.981 0 Td [(A)]TJ +/F57 9.9626 Tf 12.299 0 Td [(r)18(epr)18(esents)-250(the)-250(global)-250(matrix)]TJ/F55 9.9626 Tf 125.981 0 Td [(A)]TJ 0 g 0 G 0 g 0 G 0 g 0 G @@ -11841,42 +11841,42 @@ q []0 d 0 J 0.398 w 0 0 m 183.819 0 l S Q BT -/F52 9.9626 Tf 186.442 579.947 Td [(A)]TJ/F51 9.9626 Tf 120.292 0 Td [(Function)]TJ +/F55 9.9626 Tf 186.442 579.947 Td [(A)]TJ/F54 9.9626 Tf 120.292 0 Td [(Function)]TJ ET q 1 0 0 1 179.842 576.161 cm []0 d 0 J 0.398 w 0 0 m 183.819 0 l S Q BT -/F54 9.9626 Tf 185.819 567.594 Td [(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ +/F57 9.9626 Tf 185.819 567.594 Td [(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ ET q 1 0 0 1 323.053 567.793 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 326.042 567.594 Td [(spnrmi)]TJ -140.223 -11.956 Td [(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ +/F57 9.9626 Tf 326.042 567.594 Td [(spnrmi)]TJ -140.223 -11.956 Td [(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ ET q 1 0 0 1 323.053 555.838 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 326.042 555.638 Td [(spnrmi)]TJ -140.223 -11.955 Td [(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ +/F57 9.9626 Tf 326.042 555.638 Td [(spnrmi)]TJ -140.223 -11.955 Td [(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ ET q 1 0 0 1 323.053 543.882 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 326.042 543.683 Td [(spnrmi)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ +/F57 9.9626 Tf 326.042 543.683 Td [(spnrmi)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ ET q 1 0 0 1 323.053 531.927 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 326.042 531.728 Td [(spnrmi)]TJ +/F57 9.9626 Tf 326.042 531.728 Td [(spnrmi)]TJ ET q 1 0 0 1 179.842 527.942 cm @@ -11884,81 +11884,81 @@ q Q 0 g 0 G BT -/F54 9.9626 Tf 227.467 499.564 Td [(T)92(able)-250(11:)-310(Data)-250(types)]TJ +/F57 9.9626 Tf 227.467 499.564 Td [(T)92(able)-250(11:)-310(Data)-250(types)]TJ 0 g 0 G 0 g 0 G 0 g 0 G 0 g 0 G -/F59 9.9626 Tf -127.572 -33.873 Td [(psb_spnrmi\050A,)-525(desc_a,)-525(info\051)]TJ 0 -11.955 Td [(psb_normi\050A,)-525(desc_a,)-525(info\051)]TJ +/F62 9.9626 Tf -127.572 -33.873 Td [(psb_spnrmi\050A,)-525(desc_a,)-525(info\051)]TJ 0 -11.955 Td [(psb_normi\050A,)-525(desc_a,)-525(info\051)]TJ 0 g 0 G -/F51 9.9626 Tf 0 -21.918 Td [(T)90(ype:)]TJ +/F54 9.9626 Tf 0 -21.918 Td [(T)90(ype:)]TJ 0 g 0 G -/F54 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ +/F57 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ 0 g 0 G -/F51 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ +/F54 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -19.926 Td [(a)]TJ 0 g 0 G -/F54 9.9626 Tf 9.963 0 Td [(the)-250(local)-250(portion)-250(of)-250(the)-250(global)-250(sparse)-250(matrix)]TJ/F52 9.9626 Tf 194.722 0 Td [(A)]TJ/F54 9.9626 Tf 7.318 0 Td [(.)]TJ -187.096 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(object)-250(of)-250(type)]TJ +/F57 9.9626 Tf 9.963 0 Td [(the)-250(local)-250(portion)-250(of)-250(the)-250(global)-250(sparse)-250(matrix)]TJ/F55 9.9626 Tf 194.722 0 Td [(A)]TJ/F57 9.9626 Tf 7.318 0 Td [(.)]TJ -187.096 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(object)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 132.243 0 Td [(psb)]TJ +/F62 9.9626 Tf 132.243 0 Td [(psb)]TJ ET q 1 0 0 1 273.363 344.346 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 276.501 344.147 Td [(Tspmat)]TJ +/F62 9.9626 Tf 276.501 344.147 Td [(Tspmat)]TJ ET q 1 0 0 1 308.511 344.346 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 311.649 344.147 Td [(type)]TJ +/F62 9.9626 Tf 311.649 344.147 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf 20.922 0 Td [(.)]TJ +/F57 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -232.676 -19.926 Td [(desc)]TJ +/F54 9.9626 Tf -232.676 -19.926 Td [(desc)]TJ ET q 1 0 0 1 120.408 324.421 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 123.397 324.221 Td [(a)]TJ +/F54 9.9626 Tf 123.397 324.221 Td [(a)]TJ 0 g 0 G -/F54 9.9626 Tf 9.963 0 Td [(contains)-250(data)-250(str)8(uctur)18(es)-250(for)-250(communications.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(object)-250(of)-250(type)]TJ +/F57 9.9626 Tf 9.963 0 Td [(contains)-250(data)-250(str)8(uctur)18(es)-250(for)-250(communications.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(object)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 132.243 0 Td [(psb)]TJ +/F62 9.9626 Tf 132.243 0 Td [(psb)]TJ ET q 1 0 0 1 273.363 276.6 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 276.501 276.401 Td [(desc)]TJ +/F62 9.9626 Tf 276.501 276.401 Td [(desc)]TJ ET q 1 0 0 1 298.05 276.6 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 301.189 276.401 Td [(type)]TJ +/F62 9.9626 Tf 301.189 276.401 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf 20.921 0 Td [(.)]TJ +/F57 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -222.215 -19.926 Td [(On)-250(Return)]TJ +/F54 9.9626 Tf -222.215 -19.926 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -19.925 Td [(Function)-250(value)]TJ 0 g 0 G -/F54 9.9626 Tf 72.777 0 Td [(is)-250(the)-250(in\002nity-norm)-250(of)-250(sparse)-250(submatrix)]TJ/F52 9.9626 Tf 177.627 0 Td [(A)]TJ/F54 9.9626 Tf 7.317 0 Td [(.)]TJ -232.814 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(global)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(long)-250(pr)18(ecision)-250(r)18(eal)-250(number)74(.)]TJ +/F57 9.9626 Tf 72.777 0 Td [(is)-250(the)-250(in\002nity-norm)-250(of)-250(sparse)-250(submatrix)]TJ/F55 9.9626 Tf 177.627 0 Td [(A)]TJ/F57 9.9626 Tf 7.317 0 Td [(.)]TJ -232.814 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(global)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(long)-250(pr)18(ecision)-250(r)18(eal)-250(number)74(.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.907 -19.926 Td [(info)]TJ +/F54 9.9626 Tf -24.907 -19.926 Td [(info)]TJ 0 g 0 G -/F54 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ +/F57 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(out)]TJ/F57 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ 0 g 0 G 141.968 -54.456 Td [(47)]TJ 0 g 0 G @@ -11974,38 +11974,38 @@ stream 0 g 0 G 0 g 0 G BT -/F51 11.9552 Tf 150.705 706.129 Td [(4.12)-1000(psb)]TJ +/F54 11.9552 Tf 150.705 706.129 Td [(4.12)-1000(psb)]TJ ET q 1 0 0 1 204.216 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F51 11.9552 Tf 207.803 706.129 Td [(spmm)-250(\227)-250(Sparse)-250(Matrix)-250(by)-250(Dense)-250(Matrix)-250(Product)]TJ/F54 9.9626 Tf -57.098 -19.303 Td [(This)-250(subr)18(outine)-250(computes)-250(the)-250(Sparse)-250(Matrix)-250(by)-250(Dense)-250(Matrix)-250(Pr)18(oduct:)]TJ/F52 9.9626 Tf 140.147 -24.611 Td [(y)]TJ/F83 10.3811 Tf 7.998 0 Td [(\040)]TJ/F60 9.9626 Tf 13.397 0 Td [(a)]TJ/F52 9.9626 Tf 6.008 0 Td [(A)-42(x)]TJ/F85 10.3811 Tf 14.878 0 Td [(+)]TJ/F60 9.9626 Tf 10.505 0 Td [(b)]TJ/F52 9.9626 Tf 5.649 0 Td [(y)]TJ +/F54 11.9552 Tf 207.803 706.129 Td [(spmm)-250(\227)-250(Sparse)-250(Matrix)-250(by)-250(Dense)-250(Matrix)-250(Product)]TJ/F57 9.9626 Tf -57.098 -19.303 Td [(This)-250(subr)18(outine)-250(computes)-250(the)-250(Sparse)-250(Matrix)-250(by)-250(Dense)-250(Matrix)-250(Pr)18(oduct:)]TJ/F55 9.9626 Tf 140.147 -24.611 Td [(y)]TJ/F86 10.3811 Tf 7.998 0 Td [(\040)]TJ/F63 9.9626 Tf 13.397 0 Td [(a)]TJ/F55 9.9626 Tf 6.008 0 Td [(A)-42(x)]TJ/F88 10.3811 Tf 14.878 0 Td [(+)]TJ/F63 9.9626 Tf 10.505 0 Td [(b)]TJ/F55 9.9626 Tf 5.649 0 Td [(y)]TJ 0 g 0 G -/F54 9.9626 Tf 133.513 0 Td [(\0501\051)]TJ +/F57 9.9626 Tf 133.513 0 Td [(\0501\051)]TJ 0 g 0 G -/F52 9.9626 Tf -194.745 -20.13 Td [(y)]TJ/F83 10.3811 Tf 7.998 0 Td [(\040)]TJ/F60 9.9626 Tf 13.398 0 Td [(a)]TJ/F52 9.9626 Tf 6.007 0 Td [(A)]TJ/F52 7.5716 Tf 7.511 4.115 Td [(T)]TJ/F52 9.9626 Tf 5.694 -4.115 Td [(x)]TJ/F85 10.3811 Tf 7.267 0 Td [(+)]TJ/F60 9.9626 Tf 10.505 0 Td [(b)]TJ/F52 9.9626 Tf 5.649 0 Td [(y)]TJ +/F55 9.9626 Tf -194.745 -20.13 Td [(y)]TJ/F86 10.3811 Tf 7.998 0 Td [(\040)]TJ/F63 9.9626 Tf 13.398 0 Td [(a)]TJ/F55 9.9626 Tf 6.007 0 Td [(A)]TJ/F55 7.5716 Tf 7.511 4.115 Td [(T)]TJ/F55 9.9626 Tf 5.694 -4.115 Td [(x)]TJ/F88 10.3811 Tf 7.267 0 Td [(+)]TJ/F63 9.9626 Tf 10.505 0 Td [(b)]TJ/F55 9.9626 Tf 5.649 0 Td [(y)]TJ 0 g 0 G -/F54 9.9626 Tf 130.715 0 Td [(\0502\051)]TJ +/F57 9.9626 Tf 130.715 0 Td [(\0502\051)]TJ 0 g 0 G -/F52 9.9626 Tf -195.482 -20.129 Td [(y)]TJ/F83 10.3811 Tf 7.998 0 Td [(\040)]TJ/F60 9.9626 Tf 13.397 0 Td [(a)]TJ/F52 9.9626 Tf 6.008 0 Td [(A)]TJ/F52 7.5716 Tf 7.7 4.114 Td [(H)]TJ/F52 9.9626 Tf 6.981 -4.114 Td [(x)]TJ/F85 10.3811 Tf 7.267 0 Td [(+)]TJ/F60 9.9626 Tf 10.505 0 Td [(b)]TJ/F52 9.9626 Tf 5.649 0 Td [(y)]TJ +/F55 9.9626 Tf -195.482 -20.129 Td [(y)]TJ/F86 10.3811 Tf 7.998 0 Td [(\040)]TJ/F63 9.9626 Tf 13.397 0 Td [(a)]TJ/F55 9.9626 Tf 6.008 0 Td [(A)]TJ/F55 7.5716 Tf 7.7 4.114 Td [(H)]TJ/F55 9.9626 Tf 6.981 -4.114 Td [(x)]TJ/F88 10.3811 Tf 7.267 0 Td [(+)]TJ/F63 9.9626 Tf 10.505 0 Td [(b)]TJ/F55 9.9626 Tf 5.649 0 Td [(y)]TJ 0 g 0 G -/F54 9.9626 Tf 129.977 0 Td [(\0503\051)]TJ +/F57 9.9626 Tf 129.977 0 Td [(\0503\051)]TJ 0 g 0 G -317.15 -18.633 Td [(wher)18(e:)]TJ 0 g 0 G -/F52 9.9626 Tf -14.65 -20.451 Td [(x)]TJ +/F55 9.9626 Tf -14.65 -20.451 Td [(x)]TJ 0 g 0 G -/F54 9.9626 Tf 10.186 0 Td [(is)-250(the)-250(global)-250(dense)-250(matrix)]TJ/F52 9.9626 Tf 115.61 0 Td [(x)]TJ/F54 7.5716 Tf 5.201 -1.494 Td [(:)-12(,)-13(:)]TJ +/F57 9.9626 Tf 10.186 0 Td [(is)-250(the)-250(global)-250(dense)-250(matrix)]TJ/F55 9.9626 Tf 115.61 0 Td [(x)]TJ/F57 7.5716 Tf 5.201 -1.494 Td [(:)-12(,)-13(:)]TJ 0 g 0 G -/F52 9.9626 Tf -131.167 -19.132 Td [(y)]TJ +/F55 9.9626 Tf -131.167 -19.132 Td [(y)]TJ 0 g 0 G -/F54 9.9626 Tf 10.087 0 Td [(is)-250(the)-250(global)-250(dense)-250(matrix)]TJ/F52 9.9626 Tf 115.441 0 Td [(y)]TJ/F54 7.5716 Tf 5.2 -1.494 Td [(:)-13(,)-12(:)]TJ +/F57 9.9626 Tf 10.087 0 Td [(is)-250(the)-250(global)-250(dense)-250(matrix)]TJ/F55 9.9626 Tf 115.441 0 Td [(y)]TJ/F57 7.5716 Tf 5.2 -1.494 Td [(:)-13(,)-12(:)]TJ 0 g 0 G -/F52 9.9626 Tf -130.23 -19.131 Td [(A)]TJ +/F55 9.9626 Tf -130.23 -19.131 Td [(A)]TJ 0 g 0 G -/F54 9.9626 Tf 12.299 0 Td [(is)-250(the)-250(global)-250(sparse)-250(matrix)]TJ/F52 9.9626 Tf 118.41 0 Td [(A)]TJ +/F57 9.9626 Tf 12.299 0 Td [(is)-250(the)-250(global)-250(sparse)-250(matrix)]TJ/F55 9.9626 Tf 118.41 0 Td [(A)]TJ 0 g 0 G 0 g 0 G 0 g 0 G @@ -12015,42 +12015,42 @@ q []0 d 0 J 0.398 w 0 0 m 184.337 0 l S Q BT -/F52 9.9626 Tf 236.992 509.418 Td [(A)]TJ/F54 9.9626 Tf 7.318 0 Td [(,)]TJ/F52 9.9626 Tf 5.275 0 Td [(x)]TJ/F54 9.9626 Tf 5.205 0 Td [(,)]TJ/F52 9.9626 Tf 5.106 0 Td [(y)]TJ/F54 9.9626 Tf 5.106 0 Td [(,)]TJ/F60 9.9626 Tf 5.106 0 Td [(a)]TJ/F54 9.9626 Tf 5.385 0 Td [(,)]TJ/F60 9.9626 Tf 5.355 0 Td [(b)]TJ/F51 9.9626 Tf 76.437 0 Td [(Subroutine)]TJ +/F55 9.9626 Tf 236.992 509.418 Td [(A)]TJ/F57 9.9626 Tf 7.318 0 Td [(,)]TJ/F55 9.9626 Tf 5.275 0 Td [(x)]TJ/F57 9.9626 Tf 5.205 0 Td [(,)]TJ/F55 9.9626 Tf 5.106 0 Td [(y)]TJ/F57 9.9626 Tf 5.106 0 Td [(,)]TJ/F63 9.9626 Tf 5.106 0 Td [(a)]TJ/F57 9.9626 Tf 5.385 0 Td [(,)]TJ/F63 9.9626 Tf 5.355 0 Td [(b)]TJ/F54 9.9626 Tf 76.437 0 Td [(Subroutine)]TJ ET q 1 0 0 1 230.392 505.633 cm []0 d 0 J 0.398 w 0 0 m 184.337 0 l S Q BT -/F54 9.9626 Tf 236.369 497.065 Td [(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ +/F57 9.9626 Tf 236.369 497.065 Td [(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ ET q 1 0 0 1 373.603 497.264 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 376.592 497.065 Td [(spmm)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ +/F57 9.9626 Tf 376.592 497.065 Td [(spmm)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ ET q 1 0 0 1 373.603 485.309 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 376.592 485.11 Td [(spmm)]TJ -140.223 -11.956 Td [(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ +/F57 9.9626 Tf 376.592 485.11 Td [(spmm)]TJ -140.223 -11.956 Td [(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ ET q 1 0 0 1 373.603 473.354 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 376.592 473.154 Td [(spmm)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ +/F57 9.9626 Tf 376.592 473.154 Td [(spmm)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ ET q 1 0 0 1 373.603 461.398 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 376.592 461.199 Td [(spmm)]TJ +/F57 9.9626 Tf 376.592 461.199 Td [(spmm)]TJ ET q 1 0 0 1 230.392 457.413 cm @@ -12058,11 +12058,11 @@ q Q 0 g 0 G BT -/F54 9.9626 Tf 278.277 429.035 Td [(T)92(able)-250(12:)-310(Data)-250(types)]TJ +/F57 9.9626 Tf 278.277 429.035 Td [(T)92(able)-250(12:)-310(Data)-250(types)]TJ 0 g 0 G 0 g 0 G 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG -/F59 9.9626 Tf -107.398 -24.261 Td [(call)]TJ +/F62 9.9626 Tf -107.398 -24.261 Td [(call)]TJ 0 g 0 G [-525(psb_spmm\050alpha,)-525(a,)-525(x,)-525(beta,)-525(y,)-525(desc_a,)-525(info\051)]TJ 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG @@ -12070,75 +12070,75 @@ BT 0 g 0 G [-525(psb_spmm\050alpha,)-525(a,)-525(x,)-525(beta,)-525(y,desc_a,)-525(info,)-525(trans,)-525(work\051)]TJ 0 g 0 G -/F51 9.9626 Tf -5.23 -22.618 Td [(T)90(ype:)]TJ +/F54 9.9626 Tf -5.23 -22.618 Td [(T)90(ype:)]TJ 0 g 0 G -/F54 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ +/F57 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ 0 g 0 G -/F51 9.9626 Tf -29.828 -20.626 Td [(On)-250(Entry)]TJ +/F54 9.9626 Tf -29.828 -20.626 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -20.626 Td [(alpha)]TJ 0 g 0 G -/F54 9.9626 Tf 30.436 0 Td [(the)-250(scalar)]TJ/F60 9.9626 Tf 44.368 0 Td [(a)]TJ/F54 9.9626 Tf 5.385 0 Td [(.)]TJ -55.282 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.431 0 Td [(global)]TJ/F54 9.9626 Tf -31.431 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(number)-250(of)-250(the)-250(data)-250(type)-250(indicated)-250(in)-250(T)92(able)]TJ +/F57 9.9626 Tf 30.436 0 Td [(the)-250(scalar)]TJ/F63 9.9626 Tf 44.368 0 Td [(a)]TJ/F57 9.9626 Tf 5.385 0 Td [(.)]TJ -55.282 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.431 0 Td [(global)]TJ/F57 9.9626 Tf -31.431 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(number)-250(of)-250(the)-250(data)-250(type)-250(indicated)-250(in)-250(T)92(able)]TJ 0 0 1 rg 0 0 1 RG [-250(12)]TJ 0 g 0 G [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.907 -20.626 Td [(a)]TJ +/F54 9.9626 Tf -24.907 -20.626 Td [(a)]TJ 0 g 0 G -/F54 9.9626 Tf 9.963 0 Td [(the)-250(local)-250(portion)-250(of)-250(the)-250(sparse)-250(matrix)]TJ/F52 9.9626 Tf 164.964 0 Td [(A)]TJ/F54 9.9626 Tf 7.317 0 Td [(.)]TJ -157.337 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.431 0 Td [(local)]TJ/F54 9.9626 Tf -31.431 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(object)-250(of)-250(type)]TJ +/F57 9.9626 Tf 9.963 0 Td [(the)-250(local)-250(portion)-250(of)-250(the)-250(sparse)-250(matrix)]TJ/F55 9.9626 Tf 164.964 0 Td [(A)]TJ/F57 9.9626 Tf 7.317 0 Td [(.)]TJ -157.337 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.431 0 Td [(local)]TJ/F57 9.9626 Tf -31.431 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(object)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 132.242 0 Td [(psb)]TJ +/F62 9.9626 Tf 132.242 0 Td [(psb)]TJ ET q 1 0 0 1 324.173 212.882 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 327.311 212.682 Td [(Tspmat)]TJ +/F62 9.9626 Tf 327.311 212.682 Td [(Tspmat)]TJ ET q 1 0 0 1 359.321 212.882 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 362.459 212.682 Td [(type)]TJ +/F62 9.9626 Tf 362.459 212.682 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf 20.921 0 Td [(.)]TJ +/F57 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -232.675 -20.625 Td [(x)]TJ +/F54 9.9626 Tf -232.675 -20.625 Td [(x)]TJ 0 g 0 G -/F54 9.9626 Tf 9.963 0 Td [(the)-250(local)-250(portion)-250(of)-250(global)-250(dense)-250(matrix)]TJ/F52 9.9626 Tf 175.614 0 Td [(x)]TJ/F54 9.9626 Tf 5.205 0 Td [(.)]TJ -165.875 -11.956 Td [(Scope:)]TJ/F51 9.9626 Tf 31.431 0 Td [(local)]TJ/F54 9.9626 Tf -31.431 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-207(as:)-289(a)-208(rank)-207(one)-207(or)-208(two)-207(array)-208(or)-207(an)-208(object)-207(of)-208(type)]TJ +/F57 9.9626 Tf 9.963 0 Td [(the)-250(local)-250(portion)-250(of)-250(global)-250(dense)-250(matrix)]TJ/F55 9.9626 Tf 175.614 0 Td [(x)]TJ/F57 9.9626 Tf 5.205 0 Td [(.)]TJ -165.875 -11.956 Td [(Scope:)]TJ/F54 9.9626 Tf 31.431 0 Td [(local)]TJ/F57 9.9626 Tf -31.431 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-207(as:)-289(a)-208(rank)-207(one)-207(or)-208(two)-207(array)-208(or)-207(an)-208(object)-207(of)-208(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 244.742 0 Td [(psb)]TJ +/F62 9.9626 Tf 244.742 0 Td [(psb)]TJ ET q 1 0 0 1 436.673 144.435 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 439.811 144.236 Td [(T)]TJ +/F62 9.9626 Tf 439.811 144.236 Td [(T)]TJ ET q 1 0 0 1 445.669 144.435 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 448.807 144.236 Td [(vect)]TJ +/F62 9.9626 Tf 448.807 144.236 Td [(vect)]TJ ET q 1 0 0 1 470.356 144.435 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 473.495 144.236 Td [(type)]TJ +/F62 9.9626 Tf 473.495 144.236 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf -297.884 -11.955 Td [(containing)-278(numbers)-278(of)-279(type)-278(speci\002ed)-278(in)-278(T)92(able)]TJ +/F57 9.9626 Tf -297.884 -11.955 Td [(containing)-278(numbers)-278(of)-279(type)-278(speci\002ed)-278(in)-278(T)92(able)]TJ 0 0 1 rg 0 0 1 RG [-278(12)]TJ 0 g 0 G - [(.)-395(The)-278(rank)-279(of)]TJ/F52 9.9626 Tf 275.498 0 Td [(x)]TJ/F54 9.9626 Tf 7.978 0 Td [(must)-278(be)]TJ -283.476 -11.955 Td [(the)-250(same)-250(of)]TJ/F52 9.9626 Tf 52.946 0 Td [(y)]TJ/F54 9.9626 Tf 5.106 0 Td [(.)]TJ + [(.)-395(The)-278(rank)-279(of)]TJ/F55 9.9626 Tf 275.498 0 Td [(x)]TJ/F57 9.9626 Tf 7.978 0 Td [(must)-278(be)]TJ -283.476 -11.955 Td [(the)-250(same)-250(of)]TJ/F55 9.9626 Tf 52.946 0 Td [(y)]TJ/F57 9.9626 Tf 5.106 0 Td [(.)]TJ 0 g 0 G 83.916 -29.888 Td [(48)]TJ 0 g 0 G @@ -12155,120 +12155,120 @@ stream 0 g 0 G 0 g 0 G BT -/F51 9.9626 Tf 99.895 706.129 Td [(beta)]TJ +/F54 9.9626 Tf 99.895 706.129 Td [(beta)]TJ 0 g 0 G -/F54 9.9626 Tf 24.349 0 Td [(the)-250(scalar)]TJ/F60 9.9626 Tf 44.617 0 Td [(b)]TJ/F54 9.9626 Tf 5.524 0 Td [(.)]TJ -49.583 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(global)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(number)-250(of)-250(the)-250(data)-250(type)-250(indicated)-250(in)-250(T)92(able)]TJ +/F57 9.9626 Tf 24.349 0 Td [(the)-250(scalar)]TJ/F63 9.9626 Tf 44.617 0 Td [(b)]TJ/F57 9.9626 Tf 5.524 0 Td [(.)]TJ -49.583 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(global)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(number)-250(of)-250(the)-250(data)-250(type)-250(indicated)-250(in)-250(T)92(able)]TJ 0 0 1 rg 0 0 1 RG [-250(12)]TJ 0 g 0 G [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.907 -18.597 Td [(y)]TJ +/F54 9.9626 Tf -24.907 -18.597 Td [(y)]TJ 0 g 0 G -/F54 9.9626 Tf 10.521 0 Td [(the)-250(local)-250(portion)-250(of)-250(global)-250(dense)-250(matrix)]TJ/F52 9.9626 Tf 175.445 0 Td [(y)]TJ/F54 9.9626 Tf 5.105 0 Td [(.)]TJ -166.164 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(inout)]TJ/F54 9.9626 Tf 24.349 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-207(as:)-289(a)-208(rank)-207(one)-208(or)-207(two)-207(array)-208(or)-207(an)-208(object)-207(of)-208(type)]TJ +/F57 9.9626 Tf 10.521 0 Td [(the)-250(local)-250(portion)-250(of)-250(global)-250(dense)-250(matrix)]TJ/F55 9.9626 Tf 175.445 0 Td [(y)]TJ/F57 9.9626 Tf 5.105 0 Td [(.)]TJ -166.164 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(inout)]TJ/F57 9.9626 Tf 24.349 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-207(as:)-289(a)-208(rank)-207(one)-208(or)-207(two)-207(array)-208(or)-207(an)-208(object)-207(of)-208(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 244.743 0 Td [(psb)]TJ +/F62 9.9626 Tf 244.743 0 Td [(psb)]TJ ET q 1 0 0 1 385.864 592.09 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 389.002 591.891 Td [(T)]TJ +/F62 9.9626 Tf 389.002 591.891 Td [(T)]TJ ET q 1 0 0 1 394.86 592.09 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 397.998 591.891 Td [(vect)]TJ +/F62 9.9626 Tf 397.998 591.891 Td [(vect)]TJ ET q 1 0 0 1 419.547 592.09 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 422.685 591.891 Td [(type)]TJ +/F62 9.9626 Tf 422.685 591.891 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf -297.883 -11.956 Td [(containing)-280(numbers)-280(of)-280(type)-280(speci\002ed)-280(in)-280(T)92(able)]TJ +/F57 9.9626 Tf -297.883 -11.956 Td [(containing)-280(numbers)-280(of)-280(type)-280(speci\002ed)-280(in)-280(T)92(able)]TJ 0 0 1 rg 0 0 1 RG [-280(12)]TJ 0 g 0 G - [(.)-400(The)-280(rank)-280(of)]TJ/F52 9.9626 Tf 275.562 0 Td [(y)]TJ/F54 9.9626 Tf 7.895 0 Td [(must)-280(be)]TJ -283.457 -11.955 Td [(the)-250(same)-250(of)]TJ/F52 9.9626 Tf 53.115 0 Td [(x)]TJ/F54 9.9626 Tf 5.206 0 Td [(.)]TJ + [(.)-400(The)-280(rank)-280(of)]TJ/F55 9.9626 Tf 275.562 0 Td [(y)]TJ/F57 9.9626 Tf 7.895 0 Td [(must)-280(be)]TJ -283.457 -11.955 Td [(the)-250(same)-250(of)]TJ/F55 9.9626 Tf 53.115 0 Td [(x)]TJ/F57 9.9626 Tf 5.206 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -83.228 -18.597 Td [(desc)]TJ +/F54 9.9626 Tf -83.228 -18.597 Td [(desc)]TJ ET q 1 0 0 1 120.408 549.583 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 123.397 549.383 Td [(a)]TJ +/F54 9.9626 Tf 123.397 549.383 Td [(a)]TJ 0 g 0 G -/F54 9.9626 Tf 9.963 0 Td [(contains)-250(data)-250(str)8(uctur)18(es)-250(for)-250(communications.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(object)-250(of)-250(type)]TJ +/F57 9.9626 Tf 9.963 0 Td [(contains)-250(data)-250(str)8(uctur)18(es)-250(for)-250(communications.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(object)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 132.243 0 Td [(psb)]TJ +/F62 9.9626 Tf 132.243 0 Td [(psb)]TJ ET q 1 0 0 1 273.363 501.762 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 276.501 501.563 Td [(desc)]TJ +/F62 9.9626 Tf 276.501 501.563 Td [(desc)]TJ ET q 1 0 0 1 298.05 501.762 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 301.189 501.563 Td [(type)]TJ +/F62 9.9626 Tf 301.189 501.563 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf 20.921 0 Td [(.)]TJ +/F57 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -222.215 -18.597 Td [(trans)]TJ +/F54 9.9626 Tf -222.215 -18.597 Td [(trans)]TJ 0 g 0 G -/F54 9.9626 Tf 27.666 0 Td [(indicates)-250(what)-250(kind)-250(of)-250(operation)-250(to)-250(perform.)]TJ +/F57 9.9626 Tf 27.666 0 Td [(indicates)-250(what)-250(kind)-250(of)-250(operation)-250(to)-250(perform.)]TJ 0 g 0 G -/F51 9.9626 Tf -2.759 -18.597 Td [(trans)-250(=)-250(N)]TJ +/F54 9.9626 Tf -2.759 -18.597 Td [(trans)-250(=)-250(N)]TJ 0 g 0 G -/F54 9.9626 Tf 46.983 0 Td [(the)-250(operation)-250(is)-250(speci\002ed)-250(by)-250(equation)]TJ +/F57 9.9626 Tf 46.983 0 Td [(the)-250(operation)-250(is)-250(speci\002ed)-250(by)-250(equation)]TJ 0 0 1 rg 0 0 1 RG [-250(1)]TJ 0 g 0 G 0 g 0 G -/F51 9.9626 Tf -46.983 -14.612 Td [(trans)-250(=)-250(T)]TJ +/F54 9.9626 Tf -46.983 -14.612 Td [(trans)-250(=)-250(T)]TJ 0 g 0 G -/F54 9.9626 Tf 45.33 0 Td [(the)-250(operation)-250(is)-250(speci\002ed)-250(by)-250(equation)]TJ +/F57 9.9626 Tf 45.33 0 Td [(the)-250(operation)-250(is)-250(speci\002ed)-250(by)-250(equation)]TJ 0 0 1 rg 0 0 1 RG [-250(2)]TJ 0 g 0 G 0 g 0 G -/F51 9.9626 Tf -45.33 -14.612 Td [(trans)-250(=)-250(C)]TJ +/F54 9.9626 Tf -45.33 -14.612 Td [(trans)-250(=)-250(C)]TJ 0 g 0 G -/F54 9.9626 Tf 45.878 0 Td [(the)-250(operation)-250(is)-250(speci\002ed)-250(by)-250(equation)]TJ +/F57 9.9626 Tf 45.878 0 Td [(the)-250(operation)-250(is)-250(speci\002ed)-250(by)-250(equation)]TJ 0 0 1 rg 0 0 1 RG [-250(3)]TJ 0 g 0 G - -45.878 -18.597 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(global)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(optional)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Default:)]TJ/F52 9.9626 Tf 38.64 0 Td [(t)-15(r)-50(a)-25(n)-25(s)]TJ/F85 10.3811 Tf 25.193 0 Td [(=)]TJ/F52 9.9626 Tf 11.434 0 Td [(N)]TJ/F54 9.9626 Tf -75.267 -11.956 Td [(Speci\002ed)-250(as:)-310(a)-250(character)-250(variable.)]TJ + -45.878 -18.597 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(global)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(optional)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Default:)]TJ/F55 9.9626 Tf 38.64 0 Td [(t)-15(r)-50(a)-25(n)-25(s)]TJ/F88 10.3811 Tf 25.193 0 Td [(=)]TJ/F55 9.9626 Tf 11.434 0 Td [(N)]TJ/F57 9.9626 Tf -75.267 -11.956 Td [(Speci\002ed)-250(as:)-310(a)-250(character)-250(variable.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.907 -18.596 Td [(work)]TJ +/F54 9.9626 Tf -24.907 -18.596 Td [(work)]TJ 0 g 0 G -/F54 9.9626 Tf 28.782 0 Td [(work)-250(array)111(.)]TJ -3.875 -11.956 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(optional)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(inout)]TJ/F54 9.9626 Tf 24.349 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-270(as:)-351(a)-270(rank)-270(one)-270(array)-271(of)-270(the)-270(same)-270(type)-271(of)]TJ/F52 9.9626 Tf 220.875 0 Td [(x)]TJ/F54 9.9626 Tf 7.898 0 Td [(and)]TJ/F52 9.9626 Tf 19.684 0 Td [(y)]TJ/F54 9.9626 Tf 7.798 0 Td [(with)-270(the)-270(T)74(AR-)]TJ -256.255 -11.955 Td [(GET)-250(attribute.)]TJ +/F57 9.9626 Tf 28.782 0 Td [(work)-250(array)111(.)]TJ -3.875 -11.956 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(optional)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(inout)]TJ/F57 9.9626 Tf 24.349 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-270(as:)-351(a)-270(rank)-270(one)-270(array)-271(of)-270(the)-270(same)-270(type)-271(of)]TJ/F55 9.9626 Tf 220.875 0 Td [(x)]TJ/F57 9.9626 Tf 7.898 0 Td [(and)]TJ/F55 9.9626 Tf 19.684 0 Td [(y)]TJ/F57 9.9626 Tf 7.798 0 Td [(with)-270(the)-270(T)74(AR-)]TJ -256.255 -11.955 Td [(GET)-250(attribute.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.907 -18.597 Td [(On)-250(Return)]TJ +/F54 9.9626 Tf -24.907 -18.597 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -18.597 Td [(y)]TJ 0 g 0 G -/F54 9.9626 Tf 10.521 0 Td [(the)-250(local)-250(portion)-250(of)-250(r)18(esult)-250(matrix)]TJ/F52 9.9626 Tf 144.939 0 Td [(y)]TJ/F54 9.9626 Tf 5.106 0 Td [(.)]TJ -135.659 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(inout)]TJ/F54 9.9626 Tf 24.349 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-379(as:)-568(an)-379(array)-379(of)-379(rank)-379(one)-379(or)-379(two)-379(containing)-379(numbers)-379(of)-379(type)]TJ 0 -11.955 Td [(speci\002ed)-250(in)-250(T)92(able)]TJ +/F57 9.9626 Tf 10.521 0 Td [(the)-250(local)-250(portion)-250(of)-250(r)18(esult)-250(matrix)]TJ/F55 9.9626 Tf 144.939 0 Td [(y)]TJ/F57 9.9626 Tf 5.106 0 Td [(.)]TJ -135.659 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(inout)]TJ/F57 9.9626 Tf 24.349 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-379(as:)-568(an)-379(array)-379(of)-379(rank)-379(one)-379(or)-379(two)-379(containing)-379(numbers)-379(of)-379(type)]TJ 0 -11.955 Td [(speci\002ed)-250(in)-250(T)92(able)]TJ 0 0 1 rg 0 0 1 RG [-250(12)]TJ 0 g 0 G [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.907 -18.597 Td [(info)]TJ +/F54 9.9626 Tf -24.907 -18.597 Td [(info)]TJ 0 g 0 G -/F54 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.956 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ +/F57 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(out)]TJ/F57 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.956 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ 0 g 0 G 141.968 -36.529 Td [(49)]TJ 0 g 0 G @@ -12284,32 +12284,32 @@ stream 0 g 0 G 0 g 0 G BT -/F51 11.9552 Tf 150.705 706.129 Td [(4.13)-1000(psb)]TJ +/F54 11.9552 Tf 150.705 706.129 Td [(4.13)-1000(psb)]TJ ET q 1 0 0 1 204.216 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F51 11.9552 Tf 207.803 706.129 Td [(spsm)-250(\227)-250(T)111(riangular)-250(System)-250(Solve)]TJ/F54 9.9626 Tf -57.098 -19.83 Td [(This)-250(subr)18(outine)-250(computes)-250(the)-250(T)90(riangular)-250(System)-250(Solve:)]TJ/F52 9.9626 Tf 122.724 -35.213 Td [(y)]TJ/F83 10.3811 Tf 15.193 0 Td [(\040)]TJ/F60 9.9626 Tf 20.593 0 Td [(a)]TJ/F52 9.9626 Tf 5.639 0 Td [(T)]TJ/F83 7.8896 Tf 6.545 4.115 Td [(\000)]TJ/F54 7.5716 Tf 6.228 0 Td [(1)]TJ/F52 9.9626 Tf 4.577 -4.115 Td [(x)]TJ/F85 10.3811 Tf 7.267 0 Td [(+)]TJ/F60 9.9626 Tf 10.505 0 Td [(b)]TJ/F52 9.9626 Tf 5.649 0 Td [(y)]TJ -82.196 -16.139 Td [(y)]TJ/F83 10.3811 Tf 15.193 0 Td [(\040)]TJ/F60 9.9626 Tf 20.593 0 Td [(a)]TJ/F52 9.9626 Tf 5.708 0 Td [(D)-48(T)]TJ/F83 7.8896 Tf 14.775 4.114 Td [(\000)]TJ/F54 7.5716 Tf 6.227 0 Td [(1)]TJ/F52 9.9626 Tf 4.578 -4.114 Td [(x)]TJ/F85 10.3811 Tf 7.267 0 Td [(+)]TJ/F60 9.9626 Tf 10.505 0 Td [(b)]TJ/F52 9.9626 Tf 5.649 0 Td [(y)]TJ -90.495 -16.139 Td [(y)]TJ/F83 10.3811 Tf 15.193 0 Td [(\040)]TJ/F60 9.9626 Tf 20.593 0 Td [(a)]TJ/F52 9.9626 Tf 5.639 0 Td [(T)]TJ/F83 7.8896 Tf 6.545 4.114 Td [(\000)]TJ/F54 7.5716 Tf 6.228 0 Td [(1)]TJ/F52 9.9626 Tf 4.607 -4.114 Td [(D)-52(x)]TJ/F85 10.3811 Tf 15.536 0 Td [(+)]TJ/F60 9.9626 Tf 10.505 0 Td [(b)]TJ/F52 9.9626 Tf 5.649 0 Td [(y)]TJ -90.495 -16.09 Td [(y)]TJ/F83 10.3811 Tf 15.193 0 Td [(\040)]TJ/F60 9.9626 Tf 20.593 0 Td [(a)]TJ/F52 9.9626 Tf 5.639 0 Td [(T)]TJ/F83 7.8896 Tf 6.545 4.114 Td [(\000)]TJ/F52 7.5716 Tf 6.421 0 Td [(T)]TJ/F52 9.9626 Tf 5.694 -4.114 Td [(x)]TJ/F85 10.3811 Tf 7.267 0 Td [(+)]TJ/F60 9.9626 Tf 10.505 0 Td [(b)]TJ/F52 9.9626 Tf 5.649 0 Td [(y)]TJ -83.506 -16.09 Td [(y)]TJ/F83 10.3811 Tf 15.193 0 Td [(\040)]TJ/F60 9.9626 Tf 20.593 0 Td [(a)]TJ/F52 9.9626 Tf 5.708 0 Td [(D)-48(T)]TJ/F83 7.8896 Tf 14.775 4.114 Td [(\000)]TJ/F52 7.5716 Tf 6.42 0 Td [(T)]TJ/F52 9.9626 Tf 5.695 -4.114 Td [(x)]TJ/F85 10.3811 Tf 7.267 0 Td [(+)]TJ/F60 9.9626 Tf 10.505 0 Td [(b)]TJ/F52 9.9626 Tf 5.649 0 Td [(y)]TJ -91.805 -16.09 Td [(y)]TJ/F83 10.3811 Tf 15.193 0 Td [(\040)]TJ/F60 9.9626 Tf 20.593 0 Td [(a)]TJ/F52 9.9626 Tf 5.639 0 Td [(T)]TJ/F83 7.8896 Tf 6.545 4.114 Td [(\000)]TJ/F52 7.5716 Tf 6.421 0 Td [(T)]TJ/F52 9.9626 Tf 5.724 -4.114 Td [(D)-52(x)]TJ/F85 10.3811 Tf 15.536 0 Td [(+)]TJ/F60 9.9626 Tf 10.505 0 Td [(b)]TJ/F52 9.9626 Tf 5.649 0 Td [(y)]TJ -91.805 -16.091 Td [(y)]TJ/F83 10.3811 Tf 15.193 0 Td [(\040)]TJ/F60 9.9626 Tf 20.593 0 Td [(a)]TJ/F52 9.9626 Tf 5.639 0 Td [(T)]TJ/F83 7.8896 Tf 6.545 4.115 Td [(\000)]TJ/F52 7.5716 Tf 6.61 0 Td [(H)]TJ/F52 9.9626 Tf 6.982 -4.115 Td [(x)]TJ/F85 10.3811 Tf 7.267 0 Td [(+)]TJ/F60 9.9626 Tf 10.505 0 Td [(b)]TJ/F52 9.9626 Tf 5.648 0 Td [(y)]TJ -84.982 -16.09 Td [(y)]TJ/F83 10.3811 Tf 15.193 0 Td [(\040)]TJ/F60 9.9626 Tf 20.593 0 Td [(a)]TJ/F52 9.9626 Tf 5.708 0 Td [(D)-48(T)]TJ/F83 7.8896 Tf 14.775 4.115 Td [(\000)]TJ/F52 7.5716 Tf 6.61 0 Td [(H)]TJ/F52 9.9626 Tf 6.982 -4.115 Td [(x)]TJ/F85 10.3811 Tf 7.267 0 Td [(+)]TJ/F60 9.9626 Tf 10.504 0 Td [(b)]TJ/F52 9.9626 Tf 5.649 0 Td [(y)]TJ -93.281 -16.09 Td [(y)]TJ/F83 10.3811 Tf 15.193 0 Td [(\040)]TJ/F60 9.9626 Tf 20.593 0 Td [(a)]TJ/F52 9.9626 Tf 5.639 0 Td [(T)]TJ/F83 7.8896 Tf 6.545 4.115 Td [(\000)]TJ/F52 7.5716 Tf 6.61 0 Td [(H)]TJ/F52 9.9626 Tf 7.012 -4.115 Td [(D)-52(x)]TJ/F85 10.3811 Tf 15.536 0 Td [(+)]TJ/F60 9.9626 Tf 10.505 0 Td [(b)]TJ/F52 9.9626 Tf 5.648 0 Td [(y)]TJ/F54 9.9626 Tf -201.061 -38.202 Td [(wher)18(e:)]TJ +/F54 11.9552 Tf 207.803 706.129 Td [(spsm)-250(\227)-250(T)111(riangular)-250(System)-250(Solve)]TJ/F57 9.9626 Tf -57.098 -19.83 Td [(This)-250(subr)18(outine)-250(computes)-250(the)-250(T)90(riangular)-250(System)-250(Solve:)]TJ/F55 9.9626 Tf 122.724 -35.213 Td [(y)]TJ/F86 10.3811 Tf 15.193 0 Td [(\040)]TJ/F63 9.9626 Tf 20.593 0 Td [(a)]TJ/F55 9.9626 Tf 5.639 0 Td [(T)]TJ/F86 7.8896 Tf 6.545 4.115 Td [(\000)]TJ/F57 7.5716 Tf 6.228 0 Td [(1)]TJ/F55 9.9626 Tf 4.577 -4.115 Td [(x)]TJ/F88 10.3811 Tf 7.267 0 Td [(+)]TJ/F63 9.9626 Tf 10.505 0 Td [(b)]TJ/F55 9.9626 Tf 5.649 0 Td [(y)]TJ -82.196 -16.139 Td [(y)]TJ/F86 10.3811 Tf 15.193 0 Td [(\040)]TJ/F63 9.9626 Tf 20.593 0 Td [(a)]TJ/F55 9.9626 Tf 5.708 0 Td [(D)-48(T)]TJ/F86 7.8896 Tf 14.775 4.114 Td [(\000)]TJ/F57 7.5716 Tf 6.227 0 Td [(1)]TJ/F55 9.9626 Tf 4.578 -4.114 Td [(x)]TJ/F88 10.3811 Tf 7.267 0 Td [(+)]TJ/F63 9.9626 Tf 10.505 0 Td [(b)]TJ/F55 9.9626 Tf 5.649 0 Td [(y)]TJ -90.495 -16.139 Td [(y)]TJ/F86 10.3811 Tf 15.193 0 Td [(\040)]TJ/F63 9.9626 Tf 20.593 0 Td [(a)]TJ/F55 9.9626 Tf 5.639 0 Td [(T)]TJ/F86 7.8896 Tf 6.545 4.114 Td [(\000)]TJ/F57 7.5716 Tf 6.228 0 Td [(1)]TJ/F55 9.9626 Tf 4.607 -4.114 Td [(D)-52(x)]TJ/F88 10.3811 Tf 15.536 0 Td [(+)]TJ/F63 9.9626 Tf 10.505 0 Td [(b)]TJ/F55 9.9626 Tf 5.649 0 Td [(y)]TJ -90.495 -16.09 Td [(y)]TJ/F86 10.3811 Tf 15.193 0 Td [(\040)]TJ/F63 9.9626 Tf 20.593 0 Td [(a)]TJ/F55 9.9626 Tf 5.639 0 Td [(T)]TJ/F86 7.8896 Tf 6.545 4.114 Td [(\000)]TJ/F55 7.5716 Tf 6.421 0 Td [(T)]TJ/F55 9.9626 Tf 5.694 -4.114 Td [(x)]TJ/F88 10.3811 Tf 7.267 0 Td [(+)]TJ/F63 9.9626 Tf 10.505 0 Td [(b)]TJ/F55 9.9626 Tf 5.649 0 Td [(y)]TJ -83.506 -16.09 Td [(y)]TJ/F86 10.3811 Tf 15.193 0 Td [(\040)]TJ/F63 9.9626 Tf 20.593 0 Td [(a)]TJ/F55 9.9626 Tf 5.708 0 Td [(D)-48(T)]TJ/F86 7.8896 Tf 14.775 4.114 Td [(\000)]TJ/F55 7.5716 Tf 6.42 0 Td [(T)]TJ/F55 9.9626 Tf 5.695 -4.114 Td [(x)]TJ/F88 10.3811 Tf 7.267 0 Td [(+)]TJ/F63 9.9626 Tf 10.505 0 Td [(b)]TJ/F55 9.9626 Tf 5.649 0 Td [(y)]TJ -91.805 -16.09 Td [(y)]TJ/F86 10.3811 Tf 15.193 0 Td [(\040)]TJ/F63 9.9626 Tf 20.593 0 Td [(a)]TJ/F55 9.9626 Tf 5.639 0 Td [(T)]TJ/F86 7.8896 Tf 6.545 4.114 Td [(\000)]TJ/F55 7.5716 Tf 6.421 0 Td [(T)]TJ/F55 9.9626 Tf 5.724 -4.114 Td [(D)-52(x)]TJ/F88 10.3811 Tf 15.536 0 Td [(+)]TJ/F63 9.9626 Tf 10.505 0 Td [(b)]TJ/F55 9.9626 Tf 5.649 0 Td [(y)]TJ -91.805 -16.091 Td [(y)]TJ/F86 10.3811 Tf 15.193 0 Td [(\040)]TJ/F63 9.9626 Tf 20.593 0 Td [(a)]TJ/F55 9.9626 Tf 5.639 0 Td [(T)]TJ/F86 7.8896 Tf 6.545 4.115 Td [(\000)]TJ/F55 7.5716 Tf 6.61 0 Td [(H)]TJ/F55 9.9626 Tf 6.982 -4.115 Td [(x)]TJ/F88 10.3811 Tf 7.267 0 Td [(+)]TJ/F63 9.9626 Tf 10.505 0 Td [(b)]TJ/F55 9.9626 Tf 5.648 0 Td [(y)]TJ -84.982 -16.09 Td [(y)]TJ/F86 10.3811 Tf 15.193 0 Td [(\040)]TJ/F63 9.9626 Tf 20.593 0 Td [(a)]TJ/F55 9.9626 Tf 5.708 0 Td [(D)-48(T)]TJ/F86 7.8896 Tf 14.775 4.115 Td [(\000)]TJ/F55 7.5716 Tf 6.61 0 Td [(H)]TJ/F55 9.9626 Tf 6.982 -4.115 Td [(x)]TJ/F88 10.3811 Tf 7.267 0 Td [(+)]TJ/F63 9.9626 Tf 10.504 0 Td [(b)]TJ/F55 9.9626 Tf 5.649 0 Td [(y)]TJ -93.281 -16.09 Td [(y)]TJ/F86 10.3811 Tf 15.193 0 Td [(\040)]TJ/F63 9.9626 Tf 20.593 0 Td [(a)]TJ/F55 9.9626 Tf 5.639 0 Td [(T)]TJ/F86 7.8896 Tf 6.545 4.115 Td [(\000)]TJ/F55 7.5716 Tf 6.61 0 Td [(H)]TJ/F55 9.9626 Tf 7.012 -4.115 Td [(D)-52(x)]TJ/F88 10.3811 Tf 15.536 0 Td [(+)]TJ/F63 9.9626 Tf 10.505 0 Td [(b)]TJ/F55 9.9626 Tf 5.648 0 Td [(y)]TJ/F57 9.9626 Tf -201.061 -38.202 Td [(wher)18(e:)]TJ 0 g 0 G -/F52 9.9626 Tf -14.65 -21.265 Td [(x)]TJ +/F55 9.9626 Tf -14.65 -21.265 Td [(x)]TJ 0 g 0 G -/F54 9.9626 Tf 10.186 0 Td [(is)-250(the)-250(global)-250(dense)-250(matrix)]TJ/F52 9.9626 Tf 115.61 0 Td [(x)]TJ/F54 7.5716 Tf 5.201 -1.495 Td [(:)-12(,)-13(:)]TJ +/F57 9.9626 Tf 10.186 0 Td [(is)-250(the)-250(global)-250(dense)-250(matrix)]TJ/F55 9.9626 Tf 115.61 0 Td [(x)]TJ/F57 7.5716 Tf 5.201 -1.495 Td [(:)-12(,)-13(:)]TJ 0 g 0 G -/F52 9.9626 Tf -131.167 -20.218 Td [(y)]TJ +/F55 9.9626 Tf -131.167 -20.218 Td [(y)]TJ 0 g 0 G -/F54 9.9626 Tf 10.087 0 Td [(is)-250(the)-250(global)-250(dense)-250(matrix)]TJ/F52 9.9626 Tf 115.441 0 Td [(y)]TJ/F54 7.5716 Tf 5.201 -1.494 Td [(:)-12(,)-13(:)]TJ +/F57 9.9626 Tf 10.087 0 Td [(is)-250(the)-250(global)-250(dense)-250(matrix)]TJ/F55 9.9626 Tf 115.441 0 Td [(y)]TJ/F57 7.5716 Tf 5.201 -1.494 Td [(:)-12(,)-13(:)]TJ 0 g 0 G -/F52 9.9626 Tf -130.599 -20.218 Td [(T)]TJ +/F55 9.9626 Tf -130.599 -20.218 Td [(T)]TJ 0 g 0 G -/F54 9.9626 Tf 11.432 0 Td [(is)-250(the)-250(global)-250(sparse)-250(block)-250(triangular)-250(submatrix)]TJ/F52 9.9626 Tf 206.797 0 Td [(T)]TJ +/F57 9.9626 Tf 11.432 0 Td [(is)-250(the)-250(global)-250(sparse)-250(block)-250(triangular)-250(submatrix)]TJ/F55 9.9626 Tf 206.797 0 Td [(T)]TJ 0 g 0 G -218.159 -21.712 Td [(D)]TJ 0 g 0 G -/F54 9.9626 Tf 12.956 0 Td [(is)-250(the)-250(scaling)-250(diagonal)-250(matrix.)]TJ +/F57 9.9626 Tf 12.956 0 Td [(is)-250(the)-250(scaling)-250(diagonal)-250(matrix.)]TJ 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG -/F59 9.9626 Tf 6.894 -21.266 Td [(call)]TJ +/F62 9.9626 Tf 6.894 -21.266 Td [(call)]TJ 0 g 0 G [-525(psb_spsm\050alpha,)-525(t,)-525(x,)-525(beta,)-525(y,)-525(desc_a,)-525(info\051)]TJ 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG @@ -12325,42 +12325,42 @@ q []0 d 0 J 0.398 w 0 0 m 184.337 0 l S Q BT -/F52 9.9626 Tf 236.623 330.871 Td [(T)]TJ/F54 9.9626 Tf 6.451 0 Td [(,)]TJ/F52 9.9626 Tf 5.275 0 Td [(x)]TJ/F54 9.9626 Tf 5.206 0 Td [(,)]TJ/F52 9.9626 Tf 5.106 0 Td [(y)]TJ/F54 9.9626 Tf 5.105 0 Td [(,)]TJ/F52 9.9626 Tf 5.306 0 Td [(D)]TJ/F54 9.9626 Tf 7.975 0 Td [(,)]TJ/F60 9.9626 Tf 5.105 0 Td [(a)]TJ/F54 9.9626 Tf 5.385 0 Td [(,)]TJ/F60 9.9626 Tf 5.355 0 Td [(b)]TJ/F51 9.9626 Tf 64.393 0 Td [(Subroutine)]TJ +/F55 9.9626 Tf 236.623 330.871 Td [(T)]TJ/F57 9.9626 Tf 6.451 0 Td [(,)]TJ/F55 9.9626 Tf 5.275 0 Td [(x)]TJ/F57 9.9626 Tf 5.206 0 Td [(,)]TJ/F55 9.9626 Tf 5.106 0 Td [(y)]TJ/F57 9.9626 Tf 5.105 0 Td [(,)]TJ/F55 9.9626 Tf 5.306 0 Td [(D)]TJ/F57 9.9626 Tf 7.975 0 Td [(,)]TJ/F63 9.9626 Tf 5.105 0 Td [(a)]TJ/F57 9.9626 Tf 5.385 0 Td [(,)]TJ/F63 9.9626 Tf 5.355 0 Td [(b)]TJ/F54 9.9626 Tf 64.393 0 Td [(Subroutine)]TJ ET q 1 0 0 1 230.392 327.085 cm []0 d 0 J 0.398 w 0 0 m 184.337 0 l S Q BT -/F54 9.9626 Tf 236.369 318.517 Td [(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ +/F57 9.9626 Tf 236.369 318.517 Td [(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ ET q 1 0 0 1 373.603 318.716 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 376.592 318.517 Td [(spsm)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ +/F57 9.9626 Tf 376.592 318.517 Td [(spsm)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ ET q 1 0 0 1 373.603 306.761 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 376.592 306.562 Td [(spsm)]TJ -140.223 -11.955 Td [(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ +/F57 9.9626 Tf 376.592 306.562 Td [(spsm)]TJ -140.223 -11.955 Td [(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ ET q 1 0 0 1 373.603 294.806 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 376.592 294.607 Td [(spsm)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ +/F57 9.9626 Tf 376.592 294.607 Td [(spsm)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ ET q 1 0 0 1 373.603 282.851 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 376.592 282.652 Td [(spsm)]TJ +/F57 9.9626 Tf 376.592 282.652 Td [(spsm)]TJ ET q 1 0 0 1 230.392 278.866 cm @@ -12368,20 +12368,20 @@ q Q 0 g 0 G BT -/F54 9.9626 Tf 278.277 250.487 Td [(T)92(able)-250(13:)-310(Data)-250(types)]TJ +/F57 9.9626 Tf 278.277 250.487 Td [(T)92(able)-250(13:)-310(Data)-250(types)]TJ 0 g 0 G 0 g 0 G 0 g 0 G -/F51 9.9626 Tf -127.572 -38.916 Td [(T)90(ype:)]TJ +/F54 9.9626 Tf -127.572 -38.916 Td [(T)90(ype:)]TJ 0 g 0 G -/F54 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ +/F57 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ 0 g 0 G -/F51 9.9626 Tf -29.828 -21.712 Td [(On)-250(Entry)]TJ +/F54 9.9626 Tf -29.828 -21.712 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -21.713 Td [(alpha)]TJ 0 g 0 G -/F54 9.9626 Tf 30.436 0 Td [(the)-250(scalar)]TJ/F60 9.9626 Tf 44.368 0 Td [(a)]TJ/F54 9.9626 Tf 5.385 0 Td [(.)]TJ -55.282 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.431 0 Td [(global)]TJ/F54 9.9626 Tf -31.431 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(number)-250(of)-250(the)-250(data)-250(type)-250(indicated)-250(in)-250(T)92(able)]TJ +/F57 9.9626 Tf 30.436 0 Td [(the)-250(scalar)]TJ/F63 9.9626 Tf 44.368 0 Td [(a)]TJ/F57 9.9626 Tf 5.385 0 Td [(.)]TJ -55.282 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.431 0 Td [(global)]TJ/F57 9.9626 Tf -31.431 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(number)-250(of)-250(the)-250(data)-250(type)-250(indicated)-250(in)-250(T)92(able)]TJ 0 0 1 rg 0 0 1 RG [-250(13)]TJ 0 g 0 G @@ -12402,148 +12402,148 @@ stream 0 g 0 G 0 g 0 G BT -/F51 9.9626 Tf 99.895 706.129 Td [(t)]TJ +/F54 9.9626 Tf 99.895 706.129 Td [(t)]TJ 0 g 0 G -/F54 9.9626 Tf 8.299 0 Td [(the)-250(global)-250(portion)-250(of)-250(the)-250(sparse)-250(matrix)]TJ/F52 9.9626 Tf 171.221 0 Td [(T)]TJ/F54 9.9626 Tf 6.451 0 Td [(.)]TJ -161.064 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(object)-250(type)-250(speci\002ed)-250(in)-250(\247)]TJ +/F57 9.9626 Tf 8.299 0 Td [(the)-250(global)-250(portion)-250(of)-250(the)-250(sparse)-250(matrix)]TJ/F55 9.9626 Tf 171.221 0 Td [(T)]TJ/F57 9.9626 Tf 6.451 0 Td [(.)]TJ -161.064 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(object)-250(type)-250(speci\002ed)-250(in)-250(\247)]TJ 0 0 1 rg 0 0 1 RG [-250(3)]TJ 0 g 0 G [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.907 -20.65 Td [(x)]TJ +/F54 9.9626 Tf -24.907 -20.65 Td [(x)]TJ 0 g 0 G -/F54 9.9626 Tf 9.963 0 Td [(the)-250(local)-250(portion)-250(of)-250(global)-250(dense)-250(matrix)]TJ/F52 9.9626 Tf 175.614 0 Td [(x)]TJ/F54 9.9626 Tf 5.205 0 Td [(.)]TJ -165.875 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-207(as:)-289(a)-208(rank)-207(one)-208(or)-207(two)-207(array)-208(or)-207(an)-208(object)-207(of)-208(type)]TJ +/F57 9.9626 Tf 9.963 0 Td [(the)-250(local)-250(portion)-250(of)-250(global)-250(dense)-250(matrix)]TJ/F55 9.9626 Tf 175.614 0 Td [(x)]TJ/F57 9.9626 Tf 5.205 0 Td [(.)]TJ -165.875 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-207(as:)-289(a)-208(rank)-207(one)-208(or)-207(two)-207(array)-208(or)-207(an)-208(object)-207(of)-208(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 244.743 0 Td [(psb)]TJ +/F62 9.9626 Tf 244.743 0 Td [(psb)]TJ ET q 1 0 0 1 385.864 590.037 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 389.002 589.838 Td [(T)]TJ +/F62 9.9626 Tf 389.002 589.838 Td [(T)]TJ ET q 1 0 0 1 394.86 590.037 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 397.998 589.838 Td [(vect)]TJ +/F62 9.9626 Tf 397.998 589.838 Td [(vect)]TJ ET q 1 0 0 1 419.547 590.037 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 422.685 589.838 Td [(type)]TJ +/F62 9.9626 Tf 422.685 589.838 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf -297.883 -11.955 Td [(containing)-278(numbers)-278(of)-279(type)-278(speci\002ed)-278(in)-278(T)92(able)]TJ +/F57 9.9626 Tf -297.883 -11.955 Td [(containing)-278(numbers)-278(of)-279(type)-278(speci\002ed)-278(in)-278(T)92(able)]TJ 0 0 1 rg 0 0 1 RG [-278(13)]TJ 0 g 0 G - [(.)-395(The)-278(rank)-278(of)]TJ/F52 9.9626 Tf 275.498 0 Td [(x)]TJ/F54 9.9626 Tf 7.977 0 Td [(must)-278(be)]TJ -283.475 -11.956 Td [(the)-250(same)-250(of)]TJ/F52 9.9626 Tf 52.946 0 Td [(y)]TJ/F54 9.9626 Tf 5.106 0 Td [(.)]TJ + [(.)-395(The)-278(rank)-278(of)]TJ/F55 9.9626 Tf 275.498 0 Td [(x)]TJ/F57 9.9626 Tf 7.977 0 Td [(must)-278(be)]TJ -283.475 -11.956 Td [(the)-250(same)-250(of)]TJ/F55 9.9626 Tf 52.946 0 Td [(y)]TJ/F57 9.9626 Tf 5.106 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -82.959 -20.649 Td [(beta)]TJ +/F54 9.9626 Tf -82.959 -20.649 Td [(beta)]TJ 0 g 0 G -/F54 9.9626 Tf 24.349 0 Td [(the)-250(scalar)]TJ/F60 9.9626 Tf 44.617 0 Td [(b)]TJ/F54 9.9626 Tf 5.524 0 Td [(.)]TJ -49.583 -11.956 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(global)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(number)-250(of)-250(the)-250(data)-250(type)-250(indicated)-250(in)-250(T)92(able)]TJ +/F57 9.9626 Tf 24.349 0 Td [(the)-250(scalar)]TJ/F63 9.9626 Tf 44.617 0 Td [(b)]TJ/F57 9.9626 Tf 5.524 0 Td [(.)]TJ -49.583 -11.956 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(global)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(number)-250(of)-250(the)-250(data)-250(type)-250(indicated)-250(in)-250(T)92(able)]TJ 0 0 1 rg 0 0 1 RG [-250(13)]TJ 0 g 0 G [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.907 -20.65 Td [(y)]TJ +/F54 9.9626 Tf -24.907 -20.65 Td [(y)]TJ 0 g 0 G -/F54 9.9626 Tf 10.521 0 Td [(the)-250(local)-250(portion)-250(of)-250(global)-250(dense)-250(matrix)]TJ/F52 9.9626 Tf 175.445 0 Td [(y)]TJ/F54 9.9626 Tf 5.105 0 Td [(.)]TJ -166.164 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(inout)]TJ/F54 9.9626 Tf 24.349 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-207(as:)-289(a)-208(rank)-207(one)-208(or)-207(two)-207(array)-208(or)-207(an)-208(object)-207(of)-208(type)]TJ +/F57 9.9626 Tf 10.521 0 Td [(the)-250(local)-250(portion)-250(of)-250(global)-250(dense)-250(matrix)]TJ/F55 9.9626 Tf 175.445 0 Td [(y)]TJ/F57 9.9626 Tf 5.105 0 Td [(.)]TJ -166.164 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(inout)]TJ/F57 9.9626 Tf 24.349 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-207(as:)-289(a)-208(rank)-207(one)-208(or)-207(two)-207(array)-208(or)-207(an)-208(object)-207(of)-208(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 244.743 0 Td [(psb)]TJ +/F62 9.9626 Tf 244.743 0 Td [(psb)]TJ ET q 1 0 0 1 385.864 429.186 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 389.002 428.986 Td [(T)]TJ +/F62 9.9626 Tf 389.002 428.986 Td [(T)]TJ ET q 1 0 0 1 394.86 429.186 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 397.998 428.986 Td [(vect)]TJ +/F62 9.9626 Tf 397.998 428.986 Td [(vect)]TJ ET q 1 0 0 1 419.547 429.186 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 422.685 428.986 Td [(type)]TJ +/F62 9.9626 Tf 422.685 428.986 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf -297.883 -11.955 Td [(containing)-280(numbers)-280(of)-280(type)-280(speci\002ed)-280(in)-280(T)92(able)]TJ +/F57 9.9626 Tf -297.883 -11.955 Td [(containing)-280(numbers)-280(of)-280(type)-280(speci\002ed)-280(in)-280(T)92(able)]TJ 0 0 1 rg 0 0 1 RG [-280(13)]TJ 0 g 0 G - [(.)-400(The)-280(rank)-280(of)]TJ/F52 9.9626 Tf 275.562 0 Td [(y)]TJ/F54 9.9626 Tf 7.895 0 Td [(must)-280(be)]TJ -283.457 -11.955 Td [(the)-250(same)-250(of)]TJ/F52 9.9626 Tf 53.115 0 Td [(x)]TJ/F54 9.9626 Tf 5.206 0 Td [(.)]TJ + [(.)-400(The)-280(rank)-280(of)]TJ/F55 9.9626 Tf 275.562 0 Td [(y)]TJ/F57 9.9626 Tf 7.895 0 Td [(must)-280(be)]TJ -283.457 -11.955 Td [(the)-250(same)-250(of)]TJ/F55 9.9626 Tf 53.115 0 Td [(x)]TJ/F57 9.9626 Tf 5.206 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -83.228 -20.65 Td [(desc)]TJ +/F54 9.9626 Tf -83.228 -20.65 Td [(desc)]TJ ET q 1 0 0 1 120.408 384.625 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 123.397 384.426 Td [(a)]TJ +/F54 9.9626 Tf 123.397 384.426 Td [(a)]TJ 0 g 0 G -/F54 9.9626 Tf 9.963 0 Td [(contains)-250(data)-250(str)8(uctur)18(es)-250(for)-250(communications.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.956 Td [(Speci\002ed)-250(as:)-310(an)-250(object)-250(of)-250(type)]TJ +/F57 9.9626 Tf 9.963 0 Td [(contains)-250(data)-250(str)8(uctur)18(es)-250(for)-250(communications.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.956 Td [(Speci\002ed)-250(as:)-310(an)-250(object)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 132.243 0 Td [(psb)]TJ +/F62 9.9626 Tf 132.243 0 Td [(psb)]TJ ET q 1 0 0 1 273.363 336.805 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 276.501 336.605 Td [(desc)]TJ +/F62 9.9626 Tf 276.501 336.605 Td [(desc)]TJ ET q 1 0 0 1 298.05 336.805 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 301.189 336.605 Td [(type)]TJ +/F62 9.9626 Tf 301.189 336.605 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf 20.921 0 Td [(.)]TJ +/F57 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -222.215 -20.649 Td [(trans)]TJ +/F54 9.9626 Tf -222.215 -20.649 Td [(trans)]TJ 0 g 0 G -/F54 9.9626 Tf 27.666 0 Td [(specify)-250(with)]TJ/F52 9.9626 Tf 56.398 0 Td [(unitd)]TJ/F54 9.9626 Tf 24.637 0 Td [(the)-250(operation)-250(to)-250(perform.)]TJ +/F57 9.9626 Tf 27.666 0 Td [(specify)-250(with)]TJ/F55 9.9626 Tf 56.398 0 Td [(unitd)]TJ/F57 9.9626 Tf 24.637 0 Td [(the)-250(operation)-250(to)-250(perform.)]TJ 0 g 0 G -/F51 9.9626 Tf -83.794 -20.65 Td [(trans)-250(=)-250('N')]TJ +/F54 9.9626 Tf -83.794 -20.65 Td [(trans)-250(=)-250('N')]TJ 0 g 0 G -/F54 9.9626 Tf 52.522 0 Td [(the)-250(operation)-250(is)-250(with)-250(no)-250(transposed)-250(matrix)]TJ +/F57 9.9626 Tf 52.522 0 Td [(the)-250(operation)-250(is)-250(with)-250(no)-250(transposed)-250(matrix)]TJ 0 g 0 G -/F51 9.9626 Tf -52.522 -16.303 Td [(trans)-250(=)-250('T')]TJ +/F54 9.9626 Tf -52.522 -16.303 Td [(trans)-250(=)-250('T')]TJ 0 g 0 G -/F54 9.9626 Tf 50.869 0 Td [(the)-250(operation)-250(is)-250(with)-250(transposed)-250(matrix.)]TJ +/F57 9.9626 Tf 50.869 0 Td [(the)-250(operation)-250(is)-250(with)-250(transposed)-250(matrix.)]TJ 0 g 0 G -/F51 9.9626 Tf -50.869 -16.302 Td [(trans)-250(=)-250('C')]TJ +/F54 9.9626 Tf -50.869 -16.302 Td [(trans)-250(=)-250('C')]TJ 0 g 0 G -/F54 9.9626 Tf 51.417 0 Td [(the)-250(operation)-250(is)-250(with)-250(conjugate)-250(transposed)-250(matrix.)]TJ -51.417 -20.65 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(global)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(optional)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.956 Td [(Default:)]TJ/F52 9.9626 Tf 38.64 0 Td [(t)-15(r)-50(a)-25(n)-25(s)]TJ/F85 10.3811 Tf 25.193 0 Td [(=)]TJ/F52 9.9626 Tf 11.434 0 Td [(N)]TJ/F54 9.9626 Tf -75.267 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(character)-250(variable.)]TJ +/F57 9.9626 Tf 51.417 0 Td [(the)-250(operation)-250(is)-250(with)-250(conjugate)-250(transposed)-250(matrix.)]TJ -51.417 -20.65 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(global)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(optional)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.956 Td [(Default:)]TJ/F55 9.9626 Tf 38.64 0 Td [(t)-15(r)-50(a)-25(n)-25(s)]TJ/F88 10.3811 Tf 25.193 0 Td [(=)]TJ/F55 9.9626 Tf 11.434 0 Td [(N)]TJ/F57 9.9626 Tf -75.267 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(character)-250(variable.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.907 -20.65 Td [(unitd)]TJ +/F54 9.9626 Tf -24.907 -20.65 Td [(unitd)]TJ 0 g 0 G -/F54 9.9626 Tf 29.878 0 Td [(specify)-250(with)]TJ/F52 9.9626 Tf 56.398 0 Td [(trans)]TJ/F54 9.9626 Tf 23.521 0 Td [(the)-250(operation)-250(to)-250(perform.)]TJ +/F57 9.9626 Tf 29.878 0 Td [(specify)-250(with)]TJ/F55 9.9626 Tf 56.398 0 Td [(trans)]TJ/F57 9.9626 Tf 23.521 0 Td [(the)-250(operation)-250(to)-250(perform.)]TJ 0 g 0 G -/F51 9.9626 Tf -84.89 -20.649 Td [(unitd)-250(=)-250('U')]TJ +/F54 9.9626 Tf -84.89 -20.649 Td [(unitd)-250(=)-250('U')]TJ 0 g 0 G -/F54 9.9626 Tf 54.186 0 Td [(the)-250(operation)-250(is)-250(with)-250(no)-250(scaling)]TJ +/F57 9.9626 Tf 54.186 0 Td [(the)-250(operation)-250(is)-250(with)-250(no)-250(scaling)]TJ 0 g 0 G -/F51 9.9626 Tf -54.186 -16.303 Td [(unitd)-250(=)-250('L)74(')]TJ +/F54 9.9626 Tf -54.186 -16.303 Td [(unitd)-250(=)-250('L)74(')]TJ 0 g 0 G -/F54 9.9626 Tf 51.785 0 Td [(the)-250(operation)-250(is)-250(with)-250(left)-250(scaling)]TJ +/F57 9.9626 Tf 51.785 0 Td [(the)-250(operation)-250(is)-250(with)-250(left)-250(scaling)]TJ 0 g 0 G -/F51 9.9626 Tf -51.785 -16.302 Td [(unitd)-250(=)-250('R')]TJ +/F54 9.9626 Tf -51.785 -16.302 Td [(unitd)-250(=)-250('R')]TJ 0 g 0 G -/F54 9.9626 Tf 53.628 0 Td [(the)-250(operation)-250(is)-250(with)-250(right)-250(scaling.)]TJ +/F57 9.9626 Tf 53.628 0 Td [(the)-250(operation)-250(is)-250(with)-250(right)-250(scaling.)]TJ 0 g 0 G 88.34 -29.888 Td [(51)]TJ 0 g 0 G @@ -12559,14 +12559,14 @@ stream 0 g 0 G 0 g 0 G BT -/F54 9.9626 Tf 175.611 706.129 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(global)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(optional)]TJ/F54 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(in)]TJ/F54 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.956 Td [(Default:)]TJ/F52 9.9626 Tf 38.64 0 Td [(u)-25(n)-18(i)-32(t)-25(d)]TJ/F85 10.3811 Tf 26.159 0 Td [(=)]TJ/F52 9.9626 Tf 10.927 0 Td [(U)]TJ/F54 9.9626 Tf -75.726 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(character)-250(variable.)]TJ +/F57 9.9626 Tf 175.611 706.129 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(global)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.089 0 Td [(optional)]TJ/F57 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(in)]TJ/F57 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.956 Td [(Default:)]TJ/F55 9.9626 Tf 38.64 0 Td [(u)-25(n)-18(i)-32(t)-25(d)]TJ/F88 10.3811 Tf 26.159 0 Td [(=)]TJ/F55 9.9626 Tf 10.927 0 Td [(U)]TJ/F57 9.9626 Tf -75.726 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(character)-250(variable.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.906 -19.925 Td [(choice)]TJ +/F54 9.9626 Tf -24.906 -19.925 Td [(choice)]TJ 0 g 0 G -/F54 9.9626 Tf 33.753 0 Td [(speci\002es)-250(the)-250(update)-250(of)-250(overlap)-250(elements)-250(to)-250(be)-250(performed)-250(on)-250(exit:)]TJ +/F57 9.9626 Tf 33.753 0 Td [(speci\002es)-250(the)-250(update)-250(of)-250(overlap)-250(elements)-250(to)-250(be)-250(performed)-250(on)-250(exit:)]TJ 0 g 0 G 0 g 0 G -/F59 9.9626 Tf -3.865 -19.925 Td [(psb_none_)]TJ +/F62 9.9626 Tf -3.865 -19.925 Td [(psb_none_)]TJ 0 g 0 G 0 g 0 G 0 -15.941 Td [(psb_sum_)]TJ @@ -12575,34 +12575,34 @@ BT 0 -15.94 Td [(psb_avg_)]TJ 0 g 0 G 0 g 0 G - 0 -15.94 Td [(psb_square_root_)]TJ/F54 9.9626 Tf -4.982 -19.925 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(global)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(optional)]TJ/F54 9.9626 Tf -27.089 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(in)]TJ/F54 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Default:)]TJ/F59 9.9626 Tf 38.515 0 Td [(psb_avg_)]TJ/F54 9.9626 Tf -38.515 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(variable.)]TJ + 0 -15.94 Td [(psb_square_root_)]TJ/F57 9.9626 Tf -4.982 -19.925 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(global)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.089 0 Td [(optional)]TJ/F57 9.9626 Tf -27.089 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(in)]TJ/F57 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Default:)]TJ/F62 9.9626 Tf 38.515 0 Td [(psb_avg_)]TJ/F57 9.9626 Tf -38.515 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(variable.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.906 -19.925 Td [(diag)]TJ +/F54 9.9626 Tf -24.906 -19.925 Td [(diag)]TJ 0 g 0 G -/F54 9.9626 Tf 24.906 0 Td [(the)-250(diagonal)-250(scaling)-250(matrix.)]TJ 0 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.956 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(optional)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(in)]TJ/F54 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Default:)]TJ/F52 9.9626 Tf 38.64 0 Td [(d)-18(i)-47(a)-47(g)]TJ/F85 10.3811 Tf 18.52 0 Td [(\050)]TJ/F54 9.9626 Tf 4.15 0 Td [(1)]TJ/F85 10.3811 Tf 5.106 0 Td [(\051)-289(=)]TJ/F54 9.9626 Tf 18.002 0 Td [(1)]TJ/F85 10.3811 Tf 5.106 0 Td [(\050)]TJ/F52 9.9626 Tf 4.274 0 Td [(n)-25(o)-35(s)-25(c)-40(a)-25(l)-48(i)-32(n)-47(g)]TJ/F85 10.3811 Tf 41.384 0 Td [(\051)]TJ/F54 9.9626 Tf -135.182 -11.955 Td [(Speci\002ed)-293(as:)-395(a)-293(rank)-293(one)-293(array)-292(containing)-293(numbers)-293(of)-293(the)-292(type)-293(indicated)]TJ 0 -11.955 Td [(in)-250(T)92(able)]TJ +/F57 9.9626 Tf 24.906 0 Td [(the)-250(diagonal)-250(scaling)-250(matrix.)]TJ 0 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.956 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(optional)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(in)]TJ/F57 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Default:)]TJ/F55 9.9626 Tf 38.64 0 Td [(d)-18(i)-47(a)-47(g)]TJ/F88 10.3811 Tf 18.52 0 Td [(\050)]TJ/F57 9.9626 Tf 4.15 0 Td [(1)]TJ/F88 10.3811 Tf 5.106 0 Td [(\051)-289(=)]TJ/F57 9.9626 Tf 18.002 0 Td [(1)]TJ/F88 10.3811 Tf 5.106 0 Td [(\050)]TJ/F55 9.9626 Tf 4.274 0 Td [(n)-25(o)-35(s)-25(c)-40(a)-25(l)-48(i)-32(n)-47(g)]TJ/F88 10.3811 Tf 41.384 0 Td [(\051)]TJ/F57 9.9626 Tf -135.182 -11.955 Td [(Speci\002ed)-293(as:)-395(a)-293(rank)-293(one)-293(array)-292(containing)-293(numbers)-293(of)-293(the)-292(type)-293(indicated)]TJ 0 -11.955 Td [(in)-250(T)92(able)]TJ 0 0 1 rg 0 0 1 RG [-250(13)]TJ 0 g 0 G [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.906 -19.926 Td [(work)]TJ +/F54 9.9626 Tf -24.906 -19.926 Td [(work)]TJ 0 g 0 G -/F54 9.9626 Tf 28.782 0 Td [(a)-250(work)-250(array)111(.)]TJ -3.876 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(optional)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(inout)]TJ/F54 9.9626 Tf 24.348 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-344(as:)-498(a)-344(rank)-343(one)-344(array)-344(of)-344(the)-344(same)-344(type)-344(of)]TJ/F52 9.9626 Tf 229.679 0 Td [(x)]TJ/F54 9.9626 Tf 8.631 0 Td [(with)-344(the)-344(T)74(ARGET)]TJ -238.31 -11.955 Td [(attribute.)]TJ +/F57 9.9626 Tf 28.782 0 Td [(a)-250(work)-250(array)111(.)]TJ -3.876 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(optional)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(inout)]TJ/F57 9.9626 Tf 24.348 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-344(as:)-498(a)-344(rank)-343(one)-344(array)-344(of)-344(the)-344(same)-344(type)-344(of)]TJ/F55 9.9626 Tf 229.679 0 Td [(x)]TJ/F57 9.9626 Tf 8.631 0 Td [(with)-344(the)-344(T)74(ARGET)]TJ -238.31 -11.955 Td [(attribute.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.906 -19.926 Td [(On)-250(Return)]TJ +/F54 9.9626 Tf -24.906 -19.926 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -19.925 Td [(y)]TJ 0 g 0 G -/F54 9.9626 Tf 10.52 0 Td [(the)-250(local)-250(portion)-250(of)-250(global)-250(dense)-250(matrix)]TJ/F52 9.9626 Tf 175.445 0 Td [(y)]TJ/F54 9.9626 Tf 5.106 0 Td [(.)]TJ -166.165 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(inout)]TJ/F54 9.9626 Tf 24.348 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-379(as:)-568(an)-379(array)-379(of)-379(rank)-379(one)-379(or)-379(two)-379(containing)-379(numbers)-379(of)-379(type)]TJ 0 -11.955 Td [(speci\002ed)-250(in)-250(T)92(able)]TJ +/F57 9.9626 Tf 10.52 0 Td [(the)-250(local)-250(portion)-250(of)-250(global)-250(dense)-250(matrix)]TJ/F55 9.9626 Tf 175.445 0 Td [(y)]TJ/F57 9.9626 Tf 5.106 0 Td [(.)]TJ -166.165 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(inout)]TJ/F57 9.9626 Tf 24.348 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-379(as:)-568(an)-379(array)-379(of)-379(rank)-379(one)-379(or)-379(two)-379(containing)-379(numbers)-379(of)-379(type)]TJ 0 -11.955 Td [(speci\002ed)-250(in)-250(T)92(able)]TJ 0 0 1 rg 0 0 1 RG [-250(13)]TJ 0 g 0 G [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.906 -19.925 Td [(info)]TJ +/F54 9.9626 Tf -24.906 -19.925 Td [(info)]TJ 0 g 0 G -/F54 9.9626 Tf 23.8 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.956 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(out)]TJ/F54 9.9626 Tf 14.943 0 Td [(.)]TJ -46.744 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ +/F57 9.9626 Tf 23.8 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.956 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(out)]TJ/F57 9.9626 Tf 14.943 0 Td [(.)]TJ -46.744 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ 0 g 0 G 141.968 -73.723 Td [(52)]TJ 0 g 0 G @@ -12618,14 +12618,14 @@ stream 0 g 0 G 0 g 0 G BT -/F51 11.9552 Tf 99.895 706.129 Td [(4.14)-1000(psb)]TJ +/F54 11.9552 Tf 99.895 706.129 Td [(4.14)-1000(psb)]TJ ET q 1 0 0 1 153.407 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F51 11.9552 Tf 156.993 706.129 Td [(gemlt)-250(\227)-250(Entrywise)-250(Product)]TJ/F54 9.9626 Tf -57.098 -18.964 Td [(This)-250(function)-250(computes)-250(the)-250(entrywise)-250(pr)18(oduct)-250(between)-250(two)-250(vectors)]TJ/F52 9.9626 Tf 299.677 0 Td [(x)]TJ/F54 9.9626 Tf 7.697 0 Td [(and)]TJ/F52 9.9626 Tf 19.481 0 Td [(y)]TJ -187.918 -21.112 Td [(d)-25(o)-35(t)]TJ/F83 10.3811 Tf 16.336 0 Td [(\040)]TJ/F52 9.9626 Tf 13.567 0 Td [(x)]TJ/F85 10.3811 Tf 5.33 0 Td [(\050)]TJ/F52 9.9626 Tf 4.204 0 Td [(i)]TJ/F85 10.3811 Tf 3.088 0 Td [(\051)]TJ/F52 9.9626 Tf 4.274 0 Td [(y)]TJ/F85 10.3811 Tf 5.231 0 Td [(\050)]TJ/F52 9.9626 Tf 4.204 0 Td [(i)]TJ/F85 10.3811 Tf 3.088 0 Td [(\051)]TJ/F54 9.9626 Tf 4.15 0 Td [(.)]TJ/F59 9.9626 Tf -187.465 -21.111 Td [(psb_gemlt\050x,)-525(y,)-525(desc_a,)-525(info\051)]TJ +/F54 11.9552 Tf 156.993 706.129 Td [(gemlt)-250(\227)-250(Entrywise)-250(Product)]TJ/F57 9.9626 Tf -57.098 -18.964 Td [(This)-250(function)-250(computes)-250(the)-250(entrywise)-250(pr)18(oduct)-250(between)-250(two)-250(vectors)]TJ/F55 9.9626 Tf 299.677 0 Td [(x)]TJ/F57 9.9626 Tf 7.697 0 Td [(and)]TJ/F55 9.9626 Tf 19.481 0 Td [(y)]TJ -187.918 -21.112 Td [(d)-25(o)-35(t)]TJ/F86 10.3811 Tf 16.336 0 Td [(\040)]TJ/F55 9.9626 Tf 13.567 0 Td [(x)]TJ/F88 10.3811 Tf 5.33 0 Td [(\050)]TJ/F55 9.9626 Tf 4.204 0 Td [(i)]TJ/F88 10.3811 Tf 3.088 0 Td [(\051)]TJ/F55 9.9626 Tf 4.274 0 Td [(y)]TJ/F88 10.3811 Tf 5.231 0 Td [(\050)]TJ/F55 9.9626 Tf 4.204 0 Td [(i)]TJ/F88 10.3811 Tf 3.088 0 Td [(\051)]TJ/F57 9.9626 Tf 4.15 0 Td [(.)]TJ/F62 9.9626 Tf -187.465 -21.111 Td [(psb_gemlt\050x,)-525(y,)-525(desc_a,)-525(info\051)]TJ 0 g 0 G 0 g 0 G 0 g 0 G @@ -12635,42 +12635,42 @@ q []0 d 0 J 0.398 w 0 0 m 177.433 0 l S Q BT -/F52 9.9626 Tf 189.137 622.328 Td [(d)-25(o)-35(t)]TJ/F54 9.9626 Tf 13.444 0 Td [(,)]TJ/F52 9.9626 Tf 5.275 0 Td [(x)]TJ/F54 9.9626 Tf 5.206 0 Td [(,)]TJ/F52 9.9626 Tf 5.106 0 Td [(y)]TJ/F51 9.9626 Tf 91.759 0 Td [(Function)]TJ +/F55 9.9626 Tf 189.137 622.328 Td [(d)-25(o)-35(t)]TJ/F57 9.9626 Tf 13.444 0 Td [(,)]TJ/F55 9.9626 Tf 5.275 0 Td [(x)]TJ/F57 9.9626 Tf 5.206 0 Td [(,)]TJ/F55 9.9626 Tf 5.106 0 Td [(y)]TJ/F54 9.9626 Tf 91.759 0 Td [(Function)]TJ ET q 1 0 0 1 183.035 618.542 cm []0 d 0 J 0.398 w 0 0 m 177.433 0 l S Q BT -/F54 9.9626 Tf 189.012 609.974 Td [(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ +/F57 9.9626 Tf 189.012 609.974 Td [(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ ET q 1 0 0 1 326.246 610.173 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 329.235 609.974 Td [(gemlt)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ +/F57 9.9626 Tf 329.235 609.974 Td [(gemlt)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ ET q 1 0 0 1 326.246 598.218 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 329.235 598.019 Td [(gemlt)]TJ -140.223 -11.955 Td [(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ +/F57 9.9626 Tf 329.235 598.019 Td [(gemlt)]TJ -140.223 -11.955 Td [(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ ET q 1 0 0 1 326.246 586.263 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 329.235 586.064 Td [(gemlt)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ +/F57 9.9626 Tf 329.235 586.064 Td [(gemlt)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ ET q 1 0 0 1 326.246 574.308 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 329.235 574.109 Td [(gemlt)]TJ +/F57 9.9626 Tf 329.235 574.109 Td [(gemlt)]TJ ET q 1 0 0 1 183.035 570.323 cm @@ -12678,153 +12678,153 @@ q Q 0 g 0 G BT -/F54 9.9626 Tf 227.467 541.944 Td [(T)92(able)-250(14:)-310(Data)-250(types)]TJ +/F57 9.9626 Tf 227.467 541.944 Td [(T)92(able)-250(14:)-310(Data)-250(types)]TJ 0 g 0 G 0 g 0 G 0 g 0 G -/F51 9.9626 Tf -127.572 -33.34 Td [(T)90(ype:)]TJ +/F54 9.9626 Tf -127.572 -33.34 Td [(T)90(ype:)]TJ 0 g 0 G -/F54 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ +/F57 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ 0 g 0 G -/F51 9.9626 Tf -29.828 -19.603 Td [(On)-250(Entry)]TJ +/F54 9.9626 Tf -29.828 -19.603 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -19.603 Td [(x)]TJ 0 g 0 G -/F54 9.9626 Tf 9.963 0 Td [(the)-250(local)-250(portion)-250(of)-250(global)-250(dense)-250(vector)]TJ/F52 9.9626 Tf 174.06 0 Td [(x)]TJ/F54 9.9626 Tf 5.205 0 Td [(.)]TJ -164.321 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-354(as:)-519(an)-355(object)-354(of)-355(type)]TJ +/F57 9.9626 Tf 9.963 0 Td [(the)-250(local)-250(portion)-250(of)-250(global)-250(dense)-250(vector)]TJ/F55 9.9626 Tf 174.06 0 Td [(x)]TJ/F57 9.9626 Tf 5.205 0 Td [(.)]TJ -164.321 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-354(as:)-519(an)-355(object)-354(of)-355(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 139.526 0 Td [(psb)]TJ +/F62 9.9626 Tf 139.526 0 Td [(psb)]TJ ET q 1 0 0 1 280.646 421.777 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 283.785 421.578 Td [(T)]TJ +/F62 9.9626 Tf 283.785 421.578 Td [(T)]TJ ET q 1 0 0 1 289.642 421.777 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 292.781 421.578 Td [(vect)]TJ +/F62 9.9626 Tf 292.781 421.578 Td [(vect)]TJ ET q 1 0 0 1 314.33 421.777 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 317.468 421.578 Td [(type)]TJ +/F62 9.9626 Tf 317.468 421.578 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf 24.452 0 Td [(containing)-354(numbers)-355(of)]TJ -217.118 -11.955 Td [(type)-250(speci\002ed)-250(in)-250(T)92(able)]TJ +/F57 9.9626 Tf 24.452 0 Td [(containing)-354(numbers)-355(of)]TJ -217.118 -11.955 Td [(type)-250(speci\002ed)-250(in)-250(T)92(able)]TJ 0 0 1 rg 0 0 1 RG [-250(2)]TJ 0 g 0 G [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.907 -19.603 Td [(y)]TJ +/F54 9.9626 Tf -24.907 -19.603 Td [(y)]TJ 0 g 0 G -/F54 9.9626 Tf 10.521 0 Td [(the)-250(local)-250(portion)-250(of)-250(global)-250(dense)-250(vector)]TJ/F52 9.9626 Tf 173.89 0 Td [(y)]TJ/F54 9.9626 Tf 5.106 0 Td [(.)]TJ -164.61 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.956 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-354(as:)-519(an)-355(object)-354(of)-355(type)]TJ +/F57 9.9626 Tf 10.521 0 Td [(the)-250(local)-250(portion)-250(of)-250(global)-250(dense)-250(vector)]TJ/F55 9.9626 Tf 173.89 0 Td [(y)]TJ/F57 9.9626 Tf 5.106 0 Td [(.)]TJ -164.61 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.956 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-354(as:)-519(an)-355(object)-354(of)-355(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 139.526 0 Td [(psb)]TJ +/F62 9.9626 Tf 139.526 0 Td [(psb)]TJ ET q 1 0 0 1 280.646 342.398 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 283.785 342.199 Td [(T)]TJ +/F62 9.9626 Tf 283.785 342.199 Td [(T)]TJ ET q 1 0 0 1 289.642 342.398 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 292.781 342.199 Td [(vect)]TJ +/F62 9.9626 Tf 292.781 342.199 Td [(vect)]TJ ET q 1 0 0 1 314.33 342.398 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 317.468 342.199 Td [(type)]TJ +/F62 9.9626 Tf 317.468 342.199 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf 24.452 0 Td [(containing)-354(numbers)-355(of)]TJ -217.118 -11.955 Td [(type)-250(speci\002ed)-250(in)-250(T)92(able)]TJ +/F57 9.9626 Tf 24.452 0 Td [(containing)-354(numbers)-355(of)]TJ -217.118 -11.955 Td [(type)-250(speci\002ed)-250(in)-250(T)92(able)]TJ 0 0 1 rg 0 0 1 RG [-250(2)]TJ 0 g 0 G [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.907 -19.603 Td [(desc)]TJ +/F54 9.9626 Tf -24.907 -19.603 Td [(desc)]TJ ET q 1 0 0 1 120.408 310.84 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 123.397 310.641 Td [(a)]TJ +/F54 9.9626 Tf 123.397 310.641 Td [(a)]TJ 0 g 0 G -/F54 9.9626 Tf 9.963 0 Td [(contains)-250(data)-250(str)8(uctur)18(es)-250(for)-250(communications.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.956 Td [(Speci\002ed)-250(as:)-310(an)-250(object)-250(of)-250(type)]TJ +/F57 9.9626 Tf 9.963 0 Td [(contains)-250(data)-250(str)8(uctur)18(es)-250(for)-250(communications.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.956 Td [(Speci\002ed)-250(as:)-310(an)-250(object)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 132.243 0 Td [(psb)]TJ +/F62 9.9626 Tf 132.243 0 Td [(psb)]TJ ET q 1 0 0 1 273.363 263.02 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 276.501 262.82 Td [(desc)]TJ +/F62 9.9626 Tf 276.501 262.82 Td [(desc)]TJ ET q 1 0 0 1 298.05 263.02 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 301.189 262.82 Td [(type)]TJ +/F62 9.9626 Tf 301.189 262.82 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf 20.921 0 Td [(.)]TJ +/F57 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -222.215 -19.602 Td [(On)-250(Return)]TJ +/F54 9.9626 Tf -222.215 -19.602 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -19.603 Td [(y)]TJ 0 g 0 G -/F54 9.9626 Tf 10.521 0 Td [(the)-250(local)-250(portion)-250(of)-250(r)18(esult)-250(submatrix)]TJ/F52 9.9626 Tf 160.68 0 Td [(y)]TJ/F54 9.9626 Tf 5.106 0 Td [(.)]TJ -151.4 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.956 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(inout)]TJ/F54 9.9626 Tf 24.349 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-354(as:)-519(an)-355(object)-354(of)-355(type)]TJ +/F57 9.9626 Tf 10.521 0 Td [(the)-250(local)-250(portion)-250(of)-250(r)18(esult)-250(submatrix)]TJ/F55 9.9626 Tf 160.68 0 Td [(y)]TJ/F57 9.9626 Tf 5.106 0 Td [(.)]TJ -151.4 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.956 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(inout)]TJ/F57 9.9626 Tf 24.349 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-354(as:)-519(an)-355(object)-354(of)-355(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 139.526 0 Td [(psb)]TJ +/F62 9.9626 Tf 139.526 0 Td [(psb)]TJ ET q 1 0 0 1 280.646 175.993 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 283.785 175.794 Td [(T)]TJ +/F62 9.9626 Tf 283.785 175.794 Td [(T)]TJ ET q 1 0 0 1 289.642 175.993 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 292.781 175.794 Td [(vect)]TJ +/F62 9.9626 Tf 292.781 175.794 Td [(vect)]TJ ET q 1 0 0 1 314.33 175.993 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 317.468 175.794 Td [(type)]TJ +/F62 9.9626 Tf 317.468 175.794 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf 24.452 0 Td [(containing)-354(numbers)-355(of)]TJ -217.118 -11.955 Td [(the)-250(type)-250(indicated)-250(in)-250(T)92(able)]TJ +/F57 9.9626 Tf 24.452 0 Td [(containing)-354(numbers)-355(of)]TJ -217.118 -11.955 Td [(the)-250(type)-250(indicated)-250(in)-250(T)92(able)]TJ 0 0 1 rg 0 0 1 RG [-250(14)]TJ 0 g 0 G [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.907 -19.603 Td [(info)]TJ +/F54 9.9626 Tf -24.907 -19.603 Td [(info)]TJ 0 g 0 G -/F54 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ +/F57 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ 0 g 0 G -/F54 9.9626 Tf 114.88 -29.888 Td [(53)]TJ +/F57 9.9626 Tf 114.88 -29.888 Td [(53)]TJ 0 g 0 G ET @@ -12838,7 +12838,7 @@ stream 0 g 0 G 0 g 0 G BT -/F54 9.9626 Tf 175.611 706.129 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.745 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ +/F57 9.9626 Tf 175.611 706.129 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(out)]TJ/F57 9.9626 Tf 14.944 0 Td [(.)]TJ -46.745 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ 0 g 0 G 141.968 -603.736 Td [(54)]TJ 0 g 0 G @@ -12854,14 +12854,14 @@ stream 0 g 0 G 0 g 0 G BT -/F51 11.9552 Tf 99.895 706.129 Td [(4.15)-1000(psb)]TJ +/F54 11.9552 Tf 99.895 706.129 Td [(4.15)-1000(psb)]TJ ET q 1 0 0 1 153.407 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F51 11.9552 Tf 156.993 706.129 Td [(gediv)-250(\227)-250(Entrywise)-250(Division)]TJ/F54 9.9626 Tf -57.098 -18.964 Td [(This)-250(function)-250(computes)-250(the)-250(entrywise)-250(division)-250(between)-250(two)-250(vectors)]TJ/F52 9.9626 Tf 300.604 0 Td [(x)]TJ/F54 9.9626 Tf 7.696 0 Td [(and)]TJ/F52 9.9626 Tf 19.482 0 Td [(y)]TJ/F54 9.9626 Tf -188.347 -21.112 Td [(/)]TJ/F83 10.3811 Tf 9.054 0 Td [(\040)]TJ/F52 9.9626 Tf 13.567 0 Td [(x)]TJ/F85 10.3811 Tf 5.329 0 Td [(\050)]TJ/F52 9.9626 Tf 4.205 0 Td [(i)]TJ/F85 10.3811 Tf 3.088 0 Td [(\051)]TJ/F54 9.9626 Tf 4.274 0 Td [(/)]TJ/F52 9.9626 Tf 6.286 0 Td [(y)]TJ/F85 10.3811 Tf 5.231 0 Td [(\050)]TJ/F52 9.9626 Tf 4.204 0 Td [(i)]TJ/F85 10.3811 Tf 3.088 0 Td [(\051)]TJ/F54 9.9626 Tf 4.15 0 Td [(.)]TJ/F59 9.9626 Tf -186.967 -21.111 Td [(psb_gediv\050x,)-525(y,)-525(desc_a,)-525(info,)-525([flag\051)]TJ +/F54 11.9552 Tf 156.993 706.129 Td [(gediv)-250(\227)-250(Entrywise)-250(Division)]TJ/F57 9.9626 Tf -57.098 -18.964 Td [(This)-250(function)-250(computes)-250(the)-250(entrywise)-250(division)-250(between)-250(two)-250(vectors)]TJ/F55 9.9626 Tf 300.604 0 Td [(x)]TJ/F57 9.9626 Tf 7.696 0 Td [(and)]TJ/F55 9.9626 Tf 19.482 0 Td [(y)]TJ/F57 9.9626 Tf -188.347 -21.112 Td [(/)]TJ/F86 10.3811 Tf 9.054 0 Td [(\040)]TJ/F55 9.9626 Tf 13.567 0 Td [(x)]TJ/F88 10.3811 Tf 5.329 0 Td [(\050)]TJ/F55 9.9626 Tf 4.205 0 Td [(i)]TJ/F88 10.3811 Tf 3.088 0 Td [(\051)]TJ/F57 9.9626 Tf 4.274 0 Td [(/)]TJ/F55 9.9626 Tf 6.286 0 Td [(y)]TJ/F88 10.3811 Tf 5.231 0 Td [(\050)]TJ/F55 9.9626 Tf 4.204 0 Td [(i)]TJ/F88 10.3811 Tf 3.088 0 Td [(\051)]TJ/F57 9.9626 Tf 4.15 0 Td [(.)]TJ/F62 9.9626 Tf -186.967 -21.111 Td [(psb_gediv\050x,)-525(y,)-525(desc_a,)-525(info,)-525([flag\051)]TJ 0 g 0 G 0 g 0 G 0 g 0 G @@ -12871,42 +12871,42 @@ q []0 d 0 J 0.398 w 0 0 m 177.104 0 l S Q BT -/F54 9.9626 Tf 189.301 622.328 Td [(/)-13(,)]TJ/F52 9.9626 Tf 11.437 0 Td [(x)]TJ/F54 9.9626 Tf 5.206 0 Td [(,)]TJ/F52 9.9626 Tf 5.105 0 Td [(y)]TJ/F51 9.9626 Tf 99.043 0 Td [(Function)]TJ +/F57 9.9626 Tf 189.301 622.328 Td [(/)-13(,)]TJ/F55 9.9626 Tf 11.437 0 Td [(x)]TJ/F57 9.9626 Tf 5.206 0 Td [(,)]TJ/F55 9.9626 Tf 5.105 0 Td [(y)]TJ/F54 9.9626 Tf 99.043 0 Td [(Function)]TJ ET q 1 0 0 1 183.199 618.542 cm []0 d 0 J 0.398 w 0 0 m 177.104 0 l S Q BT -/F54 9.9626 Tf 189.177 609.974 Td [(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ +/F57 9.9626 Tf 189.177 609.974 Td [(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ ET q 1 0 0 1 326.41 610.173 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 329.399 609.974 Td [(gediv)]TJ -140.222 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ +/F57 9.9626 Tf 329.399 609.974 Td [(gediv)]TJ -140.222 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ ET q 1 0 0 1 326.41 598.218 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 329.399 598.019 Td [(gediv)]TJ -140.222 -11.955 Td [(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ +/F57 9.9626 Tf 329.399 598.019 Td [(gediv)]TJ -140.222 -11.955 Td [(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ ET q 1 0 0 1 326.41 586.263 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 329.399 586.064 Td [(gediv)]TJ -140.222 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ +/F57 9.9626 Tf 329.399 586.064 Td [(gediv)]TJ -140.222 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ ET q 1 0 0 1 326.41 574.308 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 329.399 574.109 Td [(gediv)]TJ +/F57 9.9626 Tf 329.399 574.109 Td [(gediv)]TJ ET q 1 0 0 1 183.199 570.323 cm @@ -12914,126 +12914,126 @@ q Q 0 g 0 G BT -/F54 9.9626 Tf 227.467 541.944 Td [(T)92(able)-250(15:)-310(Data)-250(types)]TJ +/F57 9.9626 Tf 227.467 541.944 Td [(T)92(able)-250(15:)-310(Data)-250(types)]TJ 0 g 0 G 0 g 0 G 0 g 0 G -/F51 9.9626 Tf -127.572 -33.34 Td [(T)90(ype:)]TJ +/F54 9.9626 Tf -127.572 -33.34 Td [(T)90(ype:)]TJ 0 g 0 G -/F54 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ +/F57 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ 0 g 0 G -/F51 9.9626 Tf -29.828 -19.603 Td [(On)-250(Entry)]TJ +/F54 9.9626 Tf -29.828 -19.603 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -19.603 Td [(x)]TJ 0 g 0 G -/F54 9.9626 Tf 9.963 0 Td [(the)-250(local)-250(portion)-250(of)-250(global)-250(dense)-250(vector)]TJ/F52 9.9626 Tf 174.06 0 Td [(x)]TJ/F54 9.9626 Tf 5.205 0 Td [(.)]TJ -164.321 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-354(as:)-519(an)-355(object)-354(of)-355(type)]TJ +/F57 9.9626 Tf 9.963 0 Td [(the)-250(local)-250(portion)-250(of)-250(global)-250(dense)-250(vector)]TJ/F55 9.9626 Tf 174.06 0 Td [(x)]TJ/F57 9.9626 Tf 5.205 0 Td [(.)]TJ -164.321 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-354(as:)-519(an)-355(object)-354(of)-355(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 139.526 0 Td [(psb)]TJ +/F62 9.9626 Tf 139.526 0 Td [(psb)]TJ ET q 1 0 0 1 280.646 421.777 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 283.785 421.578 Td [(T)]TJ +/F62 9.9626 Tf 283.785 421.578 Td [(T)]TJ ET q 1 0 0 1 289.642 421.777 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 292.781 421.578 Td [(vect)]TJ +/F62 9.9626 Tf 292.781 421.578 Td [(vect)]TJ ET q 1 0 0 1 314.33 421.777 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 317.468 421.578 Td [(type)]TJ +/F62 9.9626 Tf 317.468 421.578 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf 24.452 0 Td [(containing)-354(numbers)-355(of)]TJ -217.118 -11.955 Td [(type)-250(speci\002ed)-250(in)-250(T)92(able)]TJ +/F57 9.9626 Tf 24.452 0 Td [(containing)-354(numbers)-355(of)]TJ -217.118 -11.955 Td [(type)-250(speci\002ed)-250(in)-250(T)92(able)]TJ 0 0 1 rg 0 0 1 RG [-250(2)]TJ 0 g 0 G [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.907 -19.603 Td [(y)]TJ +/F54 9.9626 Tf -24.907 -19.603 Td [(y)]TJ 0 g 0 G -/F54 9.9626 Tf 10.521 0 Td [(the)-250(local)-250(portion)-250(of)-250(global)-250(dense)-250(vector)]TJ/F52 9.9626 Tf 173.89 0 Td [(y)]TJ/F54 9.9626 Tf 5.106 0 Td [(.)]TJ -164.61 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.956 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-354(as:)-519(an)-355(object)-354(of)-355(type)]TJ +/F57 9.9626 Tf 10.521 0 Td [(the)-250(local)-250(portion)-250(of)-250(global)-250(dense)-250(vector)]TJ/F55 9.9626 Tf 173.89 0 Td [(y)]TJ/F57 9.9626 Tf 5.106 0 Td [(.)]TJ -164.61 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.956 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-354(as:)-519(an)-355(object)-354(of)-355(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 139.526 0 Td [(psb)]TJ +/F62 9.9626 Tf 139.526 0 Td [(psb)]TJ ET q 1 0 0 1 280.646 342.398 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 283.785 342.199 Td [(T)]TJ +/F62 9.9626 Tf 283.785 342.199 Td [(T)]TJ ET q 1 0 0 1 289.642 342.398 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 292.781 342.199 Td [(vect)]TJ +/F62 9.9626 Tf 292.781 342.199 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9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.956 Td [(Speci\002ed)-250(as:)-310(an)-250(object)-250(of)-250(type)]TJ +/F57 9.9626 Tf 9.963 0 Td [(contains)-250(data)-250(str)8(uctur)18(es)-250(for)-250(communications.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.956 Td [(Speci\002ed)-250(as:)-310(an)-250(object)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 132.243 0 Td [(psb)]TJ +/F62 9.9626 Tf 132.243 0 Td [(psb)]TJ ET q 1 0 0 1 273.363 263.02 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 276.501 262.82 Td [(desc)]TJ +/F62 9.9626 Tf 276.501 262.82 Td [(desc)]TJ ET q 1 0 0 1 298.05 263.02 cm []0 d 0 J 0.398 w 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Tf 292.781 434.356 Td [(vect)]TJ +/F62 9.9626 Tf 292.781 434.356 Td [(vect)]TJ ET q 1 0 0 1 314.33 434.555 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 317.468 434.356 Td [(type)]TJ +/F62 9.9626 Tf 317.468 434.356 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf 24.452 0 Td [(containing)-354(numbers)-355(of)]TJ -217.118 -11.955 Td [(type)-250(speci\002ed)-250(in)-250(T)92(able)]TJ +/F57 9.9626 Tf 24.452 0 Td [(containing)-354(numbers)-355(of)]TJ -217.118 -11.955 Td [(type)-250(speci\002ed)-250(in)-250(T)92(able)]TJ 0 0 1 rg 0 0 1 RG [-250(2)]TJ 0 g 0 G [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.907 -18.492 Td [(desc)]TJ +/F54 9.9626 Tf -24.907 -18.492 Td [(desc)]TJ ET q 1 0 0 1 120.408 404.108 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 123.397 403.909 Td [(a)]TJ +/F54 9.9626 Tf 123.397 403.909 Td [(a)]TJ 0 g 0 G -/F54 9.9626 Tf 9.963 0 Td [(contains)-250(data)-250(str)8(uctur)18(es)-250(for)-250(communications.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.956 Td [(Speci\002ed)-250(as:)-310(an)-250(object)-250(of)-250(type)]TJ +/F57 9.9626 Tf 9.963 0 Td [(contains)-250(data)-250(str)8(uctur)18(es)-250(for)-250(communications.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.956 Td [(Speci\002ed)-250(as:)-310(an)-250(object)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 132.243 0 Td [(psb)]TJ +/F62 9.9626 Tf 132.243 0 Td [(psb)]TJ ET q 1 0 0 1 273.363 356.288 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 276.501 356.088 Td [(desc)]TJ +/F62 9.9626 Tf 276.501 356.088 Td [(desc)]TJ ET q 1 0 0 1 298.05 356.288 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 301.189 356.088 Td [(type)]TJ +/F62 9.9626 Tf 301.189 356.088 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf 20.921 0 Td [(.)]TJ +/F57 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -222.215 -18.491 Td [(\003ag)]TJ +/F54 9.9626 Tf -222.215 -18.491 Td [(\003ag)]TJ 0 g 0 G -/F54 9.9626 Tf 21.589 0 Td [(check)-278(if)-279(any)-278(of)-278(the)]TJ/F52 9.9626 Tf 84.227 0 Td [(x)]TJ/F85 10.3811 Tf 5.329 0 Td [(\050)]TJ/F52 9.9626 Tf 4.205 0 Td [(i)]TJ/F85 10.3811 Tf 3.088 0 Td [(\051)-340(=)]TJ/F54 9.9626 Tf 19.049 0 Td [(0,)-285(and)-279(in)-278(case)-279(r)18(eturns)-278(err)18(or)-278(halting)-279(the)-278(compu-)]TJ -112.58 -11.955 Td [(tation.)]TJ 0 -11.956 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(optional)]TJ/F54 9.9626 Tf 40.677 0 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(in)]TJ/F54 9.9626 Tf 9.404 0 Td [(.)]TJ -108.97 -11.955 Td [(Speci\002ed)-250(as:)-310(the)-250(logical)-250(value)]TJ/F59 9.9626 Tf 132.133 0 Td [(flag)]TJ +/F57 9.9626 Tf 21.589 0 Td [(check)-278(if)-279(any)-278(of)-278(the)]TJ/F55 9.9626 Tf 84.227 0 Td [(x)]TJ/F88 10.3811 Tf 5.329 0 Td [(\050)]TJ/F55 9.9626 Tf 4.205 0 Td [(i)]TJ/F88 10.3811 Tf 3.088 0 Td [(\051)-340(=)]TJ/F57 9.9626 Tf 19.049 0 Td [(0,)-285(and)-279(in)-278(case)-279(r)18(eturns)-278(err)18(or)-278(halting)-279(the)-278(compu-)]TJ -112.58 -11.955 Td [(tation.)]TJ 0 -11.956 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(optional)]TJ/F57 9.9626 Tf 40.677 0 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(in)]TJ/F57 9.9626 Tf 9.404 0 Td [(.)]TJ -108.97 -11.955 Td [(Speci\002ed)-250(as:)-310(the)-250(logical)-250(value)]TJ/F62 9.9626 Tf 132.133 0 Td [(flag)]TJ 0.40 0.40 0.40 rg 0.40 0.40 0.40 RG [(=)]TJ 0 g 0 G [(.true.)]TJ 0 g 0 G -/F51 9.9626 Tf -157.04 -18.492 Td [(On)-250(Return)]TJ +/F54 9.9626 Tf -157.04 -18.492 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -18.491 Td [(y)]TJ 0 g 0 G -/F54 9.9626 Tf 10.521 0 Td [(the)-250(local)-250(portion)-250(of)-250(r)18(esult)-250(submatrix)]TJ/F52 9.9626 Tf 160.849 0 Td [(x)]TJ/F54 9.9626 Tf 5.206 0 Td [(.)]TJ -151.669 -11.956 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(Speci\002ed)-354(as:)-519(an)-355(object)-354(of)-355(type)]TJ +/F57 9.9626 Tf 10.521 0 Td [(the)-250(local)-250(portion)-250(of)-250(r)18(esult)-250(submatrix)]TJ/F55 9.9626 Tf 160.849 0 Td [(x)]TJ/F57 9.9626 Tf 5.206 0 Td [(.)]TJ -151.669 -11.956 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(out)]TJ/F57 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(Speci\002ed)-354(as:)-519(an)-355(object)-354(of)-355(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 139.526 0 Td [(psb)]TJ +/F62 9.9626 Tf 139.526 0 Td [(psb)]TJ ET q 1 0 0 1 280.646 205.171 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 283.785 204.972 Td [(T)]TJ +/F62 9.9626 Tf 283.785 204.972 Td [(T)]TJ ET q 1 0 0 1 289.642 205.171 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 292.781 204.972 Td [(vect)]TJ +/F62 9.9626 Tf 292.781 204.972 Td [(vect)]TJ ET q 1 0 0 1 314.33 205.171 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 317.468 204.972 Td [(type)]TJ +/F62 9.9626 Tf 317.468 204.972 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf 24.452 0 Td [(containing)-354(numbers)-355(of)]TJ -217.118 -11.955 Td [(the)-250(type)-250(indicated)-250(in)-250(T)92(able)]TJ +/F57 9.9626 Tf 24.452 0 Td [(containing)-354(numbers)-355(of)]TJ -217.118 -11.955 Td [(the)-250(type)-250(indicated)-250(in)-250(T)92(able)]TJ 0 0 1 rg 0 0 1 RG [-250(16)]TJ 0 g 0 G [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.907 -18.492 Td [(info)]TJ +/F54 9.9626 Tf -24.907 -18.492 Td [(info)]TJ 0 g 0 G -/F54 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.956 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ +/F57 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(out)]TJ/F57 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.956 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ 0 g 0 G 141.968 -36.266 Td [(57)]TJ 0 g 0 G @@ -13948,7 +13948,7 @@ stream 0 g 0 G 0 g 0 G BT -/F51 14.3462 Tf 150.705 706.042 Td [(5)-1000(Communication)-250(routines)]TJ/F54 9.9626 Tf 0 -22.702 Td [(The)-303(r)18(outines)-302(in)-303(this)-303(chapter)-302(implement)-303(various)-303(global)-302(communication)-303(opera-)]TJ 0 -11.955 Td [(tors)-271(on)-271(vectors)-271(associated)-271(with)-271(a)-272(discr)18(etization)-271(mesh.)-373(For)-271(auxiliary)-271(communi-)]TJ 0 -11.955 Td [(cation)-250(r)18(outines)-250(not)-250(tied)-250(to)-250(a)-250(discr)18(etization)-250(space)-250(see)]TJ +/F54 14.3462 Tf 150.705 706.042 Td [(5)-1000(Communication)-250(routines)]TJ/F57 9.9626 Tf 0 -22.702 Td [(The)-303(r)18(outines)-302(in)-303(this)-303(chapter)-302(implement)-303(various)-303(global)-302(communication)-303(opera-)]TJ 0 -11.955 Td [(tors)-271(on)-271(vectors)-271(associated)-271(with)-271(a)-272(discr)18(etization)-271(mesh.)-373(For)-271(auxiliary)-271(communi-)]TJ 0 -11.955 Td [(cation)-250(r)18(outines)-250(not)-250(tied)-250(to)-250(a)-250(discr)18(etization)-250(space)-250(see)]TJ 0 0 1 rg 0 0 1 RG [-250(6)]TJ 0 g 0 G @@ -13968,18 +13968,18 @@ stream 0 g 0 G 0 g 0 G BT -/F51 11.9552 Tf 99.895 706.129 Td [(5.1)-1000(psb)]TJ +/F54 11.9552 Tf 99.895 706.129 Td [(5.1)-1000(psb)]TJ ET q 1 0 0 1 147.429 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F51 11.9552 Tf 151.016 706.129 Td [(halo)-250(\227)-250(Halo)-250(Data)-250(Communication)]TJ/F54 9.9626 Tf -51.121 -19.15 Td [(These)-250(subr)18(outines)-250(gathers)-250(the)-250(values)-250(of)-250(the)-250(halo)-250(elements:)]TJ/F52 9.9626 Tf 158.568 -25.014 Td [(x)]TJ/F83 10.3811 Tf 8.097 0 Td [(\040)]TJ/F52 9.9626 Tf 13.567 0 Td [(x)]TJ/F54 9.9626 Tf -180.232 -22.11 Td [(wher)18(e:)]TJ +/F54 11.9552 Tf 151.016 706.129 Td [(halo)-250(\227)-250(Halo)-250(Data)-250(Communication)]TJ/F57 9.9626 Tf -51.121 -19.15 Td [(These)-250(subr)18(outines)-250(gathers)-250(the)-250(values)-250(of)-250(the)-250(halo)-250(elements:)]TJ/F55 9.9626 Tf 158.568 -25.014 Td [(x)]TJ/F86 10.3811 Tf 8.097 0 Td [(\040)]TJ/F55 9.9626 Tf 13.567 0 Td [(x)]TJ/F57 9.9626 Tf -180.232 -22.11 Td [(wher)18(e:)]TJ 0 g 0 G -/F52 9.9626 Tf 0.294 -20.212 Td [(x)]TJ +/F55 9.9626 Tf 0.294 -20.212 Td [(x)]TJ 0 g 0 G -/F54 9.9626 Tf 10.187 0 Td [(is)-250(a)-250(global)-250(dense)-250(submatrix.)]TJ +/F57 9.9626 Tf 10.187 0 Td [(is)-250(a)-250(global)-250(dense)-250(submatrix.)]TJ 0 g 0 G 0 g 0 G 0 g 0 G @@ -13989,49 +13989,49 @@ q []0 d 0 J 0.398 w 0 0 m 184.337 0 l S Q BT -/F60 9.9626 Tf 185.685 587.758 Td [(a)]TJ/F54 9.9626 Tf 5.384 0 Td [(,)]TJ/F52 9.9626 Tf 5.276 0 Td [(x)]TJ/F51 9.9626 Tf 110.13 0 Td [(Subroutine)]TJ +/F63 9.9626 Tf 185.685 587.758 Td [(a)]TJ/F57 9.9626 Tf 5.384 0 Td [(,)]TJ/F55 9.9626 Tf 5.276 0 Td [(x)]TJ/F54 9.9626 Tf 110.13 0 Td [(Subroutine)]TJ ET q 1 0 0 1 179.582 583.972 cm []0 d 0 J 0.398 w 0 0 m 184.337 0 l S Q BT -/F54 9.9626 Tf 185.56 575.404 Td [(Integer)-8983(psb)]TJ +/F57 9.9626 Tf 185.56 575.404 Td [(Integer)-8983(psb)]TJ ET q 1 0 0 1 322.794 575.603 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 325.783 575.404 Td [(halo)]TJ -140.223 -11.955 Td [(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ +/F57 9.9626 Tf 325.783 575.404 Td [(halo)]TJ -140.223 -11.955 Td [(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ ET q 1 0 0 1 322.794 563.648 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 325.783 563.449 Td [(halo)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ +/F57 9.9626 Tf 325.783 563.449 Td [(halo)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ ET q 1 0 0 1 322.794 551.693 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 325.783 551.494 Td [(halo)]TJ -140.223 -11.955 Td [(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ +/F57 9.9626 Tf 325.783 551.494 Td [(halo)]TJ -140.223 -11.955 Td [(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ ET q 1 0 0 1 322.794 539.738 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 325.783 539.539 Td [(halo)]TJ -140.223 -11.956 Td [(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ +/F57 9.9626 Tf 325.783 539.539 Td [(halo)]TJ -140.223 -11.956 Td [(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ ET q 1 0 0 1 322.794 527.783 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 325.783 527.583 Td [(halo)]TJ +/F57 9.9626 Tf 325.783 527.583 Td [(halo)]TJ ET q 1 0 0 1 179.582 523.798 cm @@ -14039,11 +14039,11 @@ q Q 0 g 0 G BT -/F54 9.9626 Tf 227.467 495.419 Td [(T)92(able)-250(17:)-310(Data)-250(types)]TJ +/F57 9.9626 Tf 227.467 495.419 Td [(T)92(able)-250(17:)-310(Data)-250(types)]TJ 0 g 0 G 0 g 0 G 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG -/F59 9.9626 Tf -127.572 -24.102 Td [(call)]TJ +/F62 9.9626 Tf -127.572 -24.102 Td [(call)]TJ 0 g 0 G [-525(psb_halo\050x,)-525(desc_a,)-525(info\051)]TJ 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG @@ -14055,82 +14055,82 @@ BT 0 g 0 G [(\051)]TJ 0 g 0 G -/F51 9.9626 Tf 0 -22.301 Td [(T)90(ype:)]TJ +/F54 9.9626 Tf 0 -22.301 Td [(T)90(ype:)]TJ 0 g 0 G -/F54 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ +/F57 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ 0 g 0 G -/F51 9.9626 Tf -29.828 -20.308 Td [(On)-250(Entry)]TJ +/F54 9.9626 Tf -29.828 -20.308 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -20.309 Td [(x)]TJ 0 g 0 G -/F54 9.9626 Tf 9.963 0 Td [(global)-250(dense)-250(matrix)]TJ/F52 9.9626 Tf 89.688 0 Td [(x)]TJ/F54 9.9626 Tf 5.205 0 Td [(.)]TJ -79.949 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(inout)]TJ/F54 9.9626 Tf 24.349 0 Td [(.)]TJ -56.149 -11.956 Td [(Speci\002ed)-207(as:)-289(a)-208(rank)-207(one)-208(or)-207(two)-207(array)-208(or)-207(an)-208(object)-207(of)-208(type)]TJ +/F57 9.9626 Tf 9.963 0 Td [(global)-250(dense)-250(matrix)]TJ/F55 9.9626 Tf 89.688 0 Td [(x)]TJ/F57 9.9626 Tf 5.205 0 Td [(.)]TJ -79.949 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(inout)]TJ/F57 9.9626 Tf 24.349 0 Td [(.)]TJ -56.149 -11.956 Td [(Speci\002ed)-207(as:)-289(a)-208(rank)-207(one)-208(or)-207(two)-207(array)-208(or)-207(an)-208(object)-207(of)-208(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 244.743 0 Td [(psb)]TJ +/F62 9.9626 Tf 244.743 0 Td [(psb)]TJ ET q 1 0 0 1 385.864 348.823 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 389.002 348.623 Td [(T)]TJ +/F62 9.9626 Tf 389.002 348.623 Td [(T)]TJ ET q 1 0 0 1 394.86 348.823 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 397.998 348.623 Td [(vect)]TJ +/F62 9.9626 Tf 397.998 348.623 Td [(vect)]TJ ET q 1 0 0 1 419.547 348.823 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 422.685 348.623 Td [(type)]TJ +/F62 9.9626 Tf 422.685 348.623 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf -297.883 -11.955 Td [(containing)-250(numbers)-250(of)-250(type)-250(speci\002ed)-250(in)-250(T)92(able)]TJ +/F57 9.9626 Tf -297.883 -11.955 Td [(containing)-250(numbers)-250(of)-250(type)-250(speci\002ed)-250(in)-250(T)92(able)]TJ 0 0 1 rg 0 0 1 RG [-250(17)]TJ 0 g 0 G [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.907 -20.308 Td [(desc)]TJ +/F54 9.9626 Tf -24.907 -20.308 Td [(desc)]TJ ET q 1 0 0 1 120.408 316.559 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 123.397 316.36 Td [(a)]TJ +/F54 9.9626 Tf 123.397 316.36 Td [(a)]TJ 0 g 0 G -/F54 9.9626 Tf 9.963 0 Td [(contains)-250(data)-250(str)8(uctur)18(es)-250(for)-250(communications.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.956 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ +/F57 9.9626 Tf 9.963 0 Td [(contains)-250(data)-250(str)8(uctur)18(es)-250(for)-250(communications.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.956 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 168.138 0 Td [(psb)]TJ +/F62 9.9626 Tf 168.138 0 Td [(psb)]TJ ET q 1 0 0 1 309.258 268.738 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 312.397 268.539 Td [(desc)]TJ +/F62 9.9626 Tf 312.397 268.539 Td [(desc)]TJ ET q 1 0 0 1 333.945 268.738 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 337.084 268.539 Td [(type)]TJ +/F62 9.9626 Tf 337.084 268.539 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf 20.921 0 Td [(.)]TJ +/F57 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -258.11 -20.308 Td [(work)]TJ +/F54 9.9626 Tf -258.11 -20.308 Td [(work)]TJ 0 g 0 G -/F54 9.9626 Tf 28.782 0 Td [(the)-250(work)-250(array)111(.)]TJ -3.875 -11.956 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(optional)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(inout)]TJ/F54 9.9626 Tf 24.349 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(rank)-250(one)-250(array)-250(of)-250(the)-250(same)-250(type)-250(of)]TJ/F52 9.9626 Tf 218.454 0 Td [(x)]TJ/F54 9.9626 Tf 5.205 0 Td [(.)]TJ +/F57 9.9626 Tf 28.782 0 Td [(the)-250(work)-250(array)111(.)]TJ -3.875 -11.956 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(optional)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(inout)]TJ/F57 9.9626 Tf 24.349 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(rank)-250(one)-250(array)-250(of)-250(the)-250(same)-250(type)-250(of)]TJ/F55 9.9626 Tf 218.454 0 Td [(x)]TJ/F57 9.9626 Tf 5.205 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -248.566 -20.309 Td [(data)]TJ +/F54 9.9626 Tf -248.566 -20.309 Td [(data)]TJ 0 g 0 G -/F54 9.9626 Tf 24.349 0 Td [(index)-250(list)-250(selector)74(.)]TJ 0.558 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(global)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(optional)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Speci\002ed)-190(as:)-280(an)-190(integer)74(.)-290(V)92(alues:)]TJ/F59 9.9626 Tf 136.507 0 Td [(psb_comm_halo_)]TJ/F54 9.9626 Tf 73.224 0 Td [(,)]TJ/F59 9.9626 Tf 2.491 0 Td [(psb_comm_mov_)]TJ/F54 9.9626 Tf 67.995 0 Td [(,)]TJ/F59 9.9626 Tf 4.503 0 Td [(psb_comm_ext_)]TJ/F54 9.9626 Tf 67.994 0 Td [(,)]TJ -352.714 -11.955 Td [(default:)]TJ/F59 9.9626 Tf 39.042 0 Td [(psb_comm_halo_)]TJ/F54 9.9626 Tf 73.225 0 Td [(.)-634(Chooses)-358(the)-358(index)-358(list)-358(on)-357(which)-358(to)-358(base)-358(the)]TJ -112.267 -11.955 Td [(data)-250(exchange.)]TJ +/F57 9.9626 Tf 24.349 0 Td [(index)-250(list)-250(selector)74(.)]TJ 0.558 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(global)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(optional)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Speci\002ed)-190(as:)-280(an)-190(integer)74(.)-290(V)92(alues:)]TJ/F62 9.9626 Tf 136.507 0 Td [(psb_comm_halo_)]TJ/F57 9.9626 Tf 73.224 0 Td [(,)]TJ/F62 9.9626 Tf 2.491 0 Td [(psb_comm_mov_)]TJ/F57 9.9626 Tf 67.995 0 Td [(,)]TJ/F62 9.9626 Tf 4.503 0 Td [(psb_comm_ext_)]TJ/F57 9.9626 Tf 67.994 0 Td [(,)]TJ -352.714 -11.955 Td [(default:)]TJ/F62 9.9626 Tf 39.042 0 Td [(psb_comm_halo_)]TJ/F57 9.9626 Tf 73.225 0 Td [(.)-634(Chooses)-358(the)-358(index)-358(list)-358(on)-357(which)-358(to)-358(base)-358(the)]TJ -112.267 -11.955 Td [(data)-250(exchange.)]TJ 0 g 0 G 141.968 -29.888 Td [(59)]TJ 0 g 0 G @@ -14147,20 +14147,20 @@ stream 0 g 0 G 0 g 0 G BT -/F51 9.9626 Tf 150.705 706.129 Td [(On)-250(Return)]TJ +/F54 9.9626 Tf 150.705 706.129 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -19.925 Td [(x)]TJ 0 g 0 G -/F54 9.9626 Tf 9.962 0 Td [(global)-250(dense)-250(r)18(esult)-250(matrix)]TJ/F52 9.9626 Tf 117.085 0 Td [(x)]TJ/F54 9.9626 Tf 5.205 0 Td [(.)]TJ -107.346 -11.956 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(required)]TJ/F54 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(inout)]TJ/F54 9.9626 Tf 24.348 0 Td [(.)]TJ -56.149 -11.955 Td [(Returned)-285(as:)-381(a)-285(rank)-285(one)-286(or)-285(two)-285(array)-285(containing)-285(numbers)-286(of)-285(type)-285(speci-)]TJ 0 -11.955 Td [(\002ed)-250(in)-250(T)92(able)]TJ +/F57 9.9626 Tf 9.962 0 Td [(global)-250(dense)-250(r)18(esult)-250(matrix)]TJ/F55 9.9626 Tf 117.085 0 Td [(x)]TJ/F57 9.9626 Tf 5.205 0 Td [(.)]TJ -107.346 -11.956 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.089 0 Td [(required)]TJ/F57 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(inout)]TJ/F57 9.9626 Tf 24.348 0 Td [(.)]TJ -56.149 -11.955 Td [(Returned)-285(as:)-381(a)-285(rank)-285(one)-286(or)-285(two)-285(array)-285(containing)-285(numbers)-286(of)-285(type)-285(speci-)]TJ 0 -11.955 Td [(\002ed)-250(in)-250(T)92(able)]TJ 0 0 1 rg 0 0 1 RG [-250(17)]TJ 0 g 0 G [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.906 -19.926 Td [(info)]TJ +/F54 9.9626 Tf -24.906 -19.926 Td [(info)]TJ 0 g 0 G -/F54 9.9626 Tf 23.8 0 Td [(the)-250(local)-250(portion)-250(of)-250(r)18(esult)-250(submatrix)]TJ/F52 9.9626 Tf 160.68 0 Td [(y)]TJ/F54 9.9626 Tf 5.106 0 Td [(.)]TJ -164.68 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(required)]TJ/F54 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.745 -11.955 Td [(An)-250(integer)-250(value)-250(that)-250(contains)-250(an)-250(err)18(or)-250(code.)]TJ +/F57 9.9626 Tf 23.8 0 Td [(the)-250(local)-250(portion)-250(of)-250(r)18(esult)-250(submatrix)]TJ/F55 9.9626 Tf 160.68 0 Td [(y)]TJ/F57 9.9626 Tf 5.106 0 Td [(.)]TJ -164.68 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.089 0 Td [(required)]TJ/F57 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(out)]TJ/F57 9.9626 Tf 14.944 0 Td [(.)]TJ -46.745 -11.955 Td [(An)-250(integer)-250(value)-250(that)-250(contains)-250(an)-250(err)18(or)-250(code.)]TJ 0 g 0 G 0 g 0 G 0 g 0 G @@ -14176,14 +14176,14 @@ Q 0 g 0 G 1 0 0 1 -210.511 -336.406 cm BT -/F54 9.9626 Tf 240.086 304.526 Td [(Figur)18(e)-250(3:)-310(Sample)-250(discr)18(etization)-250(mesh.)]TJ +/F57 9.9626 Tf 240.086 304.526 Td [(Figur)18(e)-250(3:)-310(Sample)-250(discr)18(etization)-250(mesh.)]TJ 0 g 0 G 0 g 0 G -/F51 11.9552 Tf -89.381 -23.91 Td [(Usage)-325(Example)]TJ/F54 9.9626 Tf 87.482 0 Td [(Consider)-325(the)-325(discr)18(etization)-324(mesh)-325(depicted)-325(in)-325(\002g.)]TJ +/F54 11.9552 Tf -89.381 -23.91 Td [(Usage)-325(Example)]TJ/F57 9.9626 Tf 87.482 0 Td [(Consider)-325(the)-325(discr)18(etization)-324(mesh)-325(depicted)-325(in)-325(\002g.)]TJ 0 0 1 rg 0 0 1 RG [-325(3)]TJ 0 g 0 G - [(,)-343(parti-)]TJ -87.482 -11.956 Td [(tioned)-219(among)-220(two)-219(pr)18(ocesses)-220(as)-219(shown)-220(b)1(y)-220(the)-219(dashed)-220(line;)-229(the)-220(data)-219(distribution)]TJ 0 -11.955 Td [(is)-343(such)-342(that)-343(each)-343(pr)18(ocess)-343(will)-342(own)-343(32)-343(entries)-343(in)-342(the)-343(index)-343(space,)-366(with)-342(a)-343(halo)]TJ 0 -11.955 Td [(made)-355(of)-355(8)-355(entries)-355(place)1(d)-355(at)-355(local)-355(indices)-355(33)-355(thr)18(ough)-355(40.)-624(If)-355(pr)18(ocess)-355(0)-355(assigns)]TJ 0 -11.955 Td [(an)-280(initial)-280(value)-280(of)-281(1)-280(to)-280(its)-280(entries)-280(in)-280(the)]TJ/F52 9.9626 Tf 173.857 0 Td [(x)]TJ/F54 9.9626 Tf 7.997 0 Td [(vector)74(,)-288(and)-280(pr)18(ocess)-280(1)-280(assigns)-280(a)-280(value)]TJ -181.854 -11.955 Td [(of)-314(2,)-329(then)-313(after)-314(a)-314(c)1(a)-1(l)1(l)-314(to)]TJ/F59 9.9626 Tf 106.994 0 Td [(psb_halo)]TJ/F54 9.9626 Tf 44.966 0 Td [(the)-314(conten)1(ts)-314(of)-314(the)-313(local)-314(vectors)-313(will)-314(be)-313(the)]TJ -151.96 -11.955 Td [(following:)]TJ + [(,)-343(parti-)]TJ -87.482 -11.956 Td [(tioned)-219(among)-220(two)-219(pr)18(ocesses)-220(as)-219(shown)-220(b)1(y)-220(the)-219(dashed)-220(line;)-229(the)-220(data)-219(distribution)]TJ 0 -11.955 Td [(is)-343(such)-342(that)-343(each)-343(pr)18(ocess)-343(will)-342(own)-343(32)-343(entries)-343(in)-342(the)-343(index)-343(space,)-366(with)-342(a)-343(halo)]TJ 0 -11.955 Td [(made)-355(of)-355(8)-355(entries)-355(place)1(d)-355(at)-355(local)-355(indices)-355(33)-355(thr)18(ough)-355(40.)-624(If)-355(pr)18(ocess)-355(0)-355(assigns)]TJ 0 -11.955 Td [(an)-280(initial)-280(value)-280(of)-281(1)-280(to)-280(its)-280(entries)-280(in)-280(the)]TJ/F55 9.9626 Tf 173.857 0 Td [(x)]TJ/F57 9.9626 Tf 7.997 0 Td [(vector)74(,)-288(and)-280(pr)18(ocess)-280(1)-280(assigns)-280(a)-280(value)]TJ -181.854 -11.955 Td [(of)-314(2,)-329(then)-313(after)-314(a)-314(c)1(a)-1(l)1(l)-314(to)]TJ/F62 9.9626 Tf 106.994 0 Td [(psb_halo)]TJ/F57 9.9626 Tf 44.966 0 Td [(the)-314(conten)1(ts)-314(of)-314(the)-313(local)-314(vectors)-313(will)-314(be)-313(the)]TJ -151.96 -11.955 Td [(following:)]TJ 0 g 0 G 166.874 -118.447 Td [(60)]TJ 0 g 0 G @@ -14359,10 +14359,10 @@ stream 0 g 0 G 0 g 0 G BT -/F54 8.9664 Tf 209.77 645.656 Td [(Pr)18(ocess)-250(0)-7729(Pr)18(ocess)-250(1)]TJ -31.696 -10.959 Td [(I)-1333(GLOB\050I\051)-1334(X\050I\051)-4663(I)-1333(GLOB\050I\051)-1333(X\050I\051)]TJ -1.462 -10.959 Td [(1)-4607(1)-1754(1.0)-4500(1)-4107(33)-1753(2.0)]TJ 0 -10.959 Td [(2)-4607(2)-1754(1.0)-4500(2)-4107(34)-1753(2.0)]TJ 0 -10.959 Td [(3)-4607(3)-1754(1.0)-4500(3)-4107(35)-1753(2.0)]TJ 0 -10.959 Td [(4)-4607(4)-1754(1.0)-4500(4)-4107(36)-1753(2.0)]TJ 0 -10.959 Td [(5)-4607(5)-1754(1.0)-4500(5)-4107(37)-1753(2.0)]TJ 0 -10.959 Td [(6)-4607(6)-1754(1.0)-4500(6)-4107(38)-1753(2.0)]TJ 0 -10.959 Td [(7)-4607(7)-1754(1.0)-4500(7)-4107(39)-1753(2.0)]TJ 0 -10.958 Td [(8)-4607(8)-1754(1.0)-4500(8)-4107(40)-1753(2.0)]TJ 0 -10.959 Td [(9)-4607(9)-1754(1.0)-4500(9)-4107(41)-1753(2.0)]TJ -4.483 -10.959 Td [(10)-4107(10)-1754(1.0)-4000(10)-4107(42)-1753(2.0)]TJ 0 -10.959 Td [(11)-4107(11)-1754(1.0)-4000(11)-4107(43)-1753(2.0)]TJ 0 -10.959 Td [(12)-4107(12)-1754(1.0)-4000(12)-4107(44)-1753(2.0)]TJ 0 -10.959 Td [(13)-4107(13)-1754(1.0)-4000(13)-4107(45)-1753(2.0)]TJ 0 -10.959 Td [(14)-4107(14)-1754(1.0)-4000(14)-4107(46)-1753(2.0)]TJ 0 -10.959 Td [(15)-4107(15)-1754(1.0)-4000(15)-4107(47)-1753(2.0)]TJ 0 -10.959 Td [(16)-4107(16)-1754(1.0)-4000(16)-4107(48)-1753(2.0)]TJ 0 -10.959 Td [(17)-4107(17)-1754(1.0)-4000(17)-4107(49)-1753(2.0)]TJ 0 -10.958 Td [(18)-4107(18)-1754(1.0)-4000(18)-4107(50)-1753(2.0)]TJ 0 -10.959 Td [(19)-4107(19)-1754(1.0)-4000(19)-4107(51)-1753(2.0)]TJ 0 -10.959 Td [(20)-4107(20)-1754(1.0)-4000(20)-4107(52)-1753(2.0)]TJ 0 -10.959 Td [(21)-4107(21)-1754(1.0)-4000(21)-4107(53)-1753(2.0)]TJ 0 -10.959 Td [(22)-4107(22)-1754(1.0)-4000(22)-4107(54)-1753(2.0)]TJ 0 -10.959 Td [(23)-4107(23)-1754(1.0)-4000(23)-4107(55)-1753(2.0)]TJ 0 -10.959 Td [(24)-4107(24)-1754(1.0)-4000(24)-4107(56)-1753(2.0)]TJ 0 -10.959 Td [(25)-4107(25)-1754(1.0)-4000(25)-4107(57)-1753(2.0)]TJ 0 -10.959 Td [(26)-4107(26)-1754(1.0)-4000(26)-4107(58)-1753(2.0)]TJ 0 -10.959 Td [(27)-4107(27)-1754(1.0)-4000(27)-4107(59)-1753(2.0)]TJ 0 -10.958 Td [(28)-4107(28)-1754(1.0)-4000(28)-4107(60)-1753(2.0)]TJ 0 -10.959 Td [(29)-4107(29)-1754(1.0)-4000(29)-4107(61)-1753(2.0)]TJ 0 -10.959 Td [(30)-4107(30)-1754(1.0)-4000(30)-4107(62)-1753(2.0)]TJ 0 -10.959 Td [(31)-4107(31)-1754(1.0)-4000(31)-4107(63)-1753(2.0)]TJ 0 -10.959 Td [(32)-4107(32)-1754(1.0)-4000(32)-4107(64)-1753(2.0)]TJ 0 -10.959 Td [(33)-4107(33)-1754(2.0)-4000(33)-4107(25)-1753(1.0)]TJ 0 -10.959 Td [(34)-4107(34)-1754(2.0)-4000(34)-4107(26)-1753(1.0)]TJ 0 -10.959 Td [(35)-4107(35)-1754(2.0)-4000(35)-4107(27)-1753(1.0)]TJ 0 -10.959 Td [(36)-4107(36)-1754(2.0)-4000(36)-4107(28)-1753(1.0)]TJ 0 -10.959 Td [(37)-4107(37)-1754(2.0)-4000(37)-4107(29)-1753(1.0)]TJ 0 -10.958 Td [(38)-4107(38)-1754(2.0)-4000(38)-4107(30)-1753(1.0)]TJ 0 -10.959 Td [(39)-4107(39)-1754(2.0)-4000(39)-4107(31)-1753(1.0)]TJ 0 -10.959 Td [(40)-4107(40)-1754(2.0)-4000(40)-4107(32)-1753(1.0)]TJ +/F57 8.9664 Tf 209.77 645.656 Td [(Pr)18(ocess)-250(0)-7729(Pr)18(ocess)-250(1)]TJ -31.696 -10.959 Td [(I)-1333(GLOB\050I\051)-1334(X\050I\051)-4663(I)-1333(GLOB\050I\051)-1333(X\050I\051)]TJ -1.462 -10.959 Td [(1)-4607(1)-1754(1.0)-4500(1)-4107(33)-1753(2.0)]TJ 0 -10.959 Td [(2)-4607(2)-1754(1.0)-4500(2)-4107(34)-1753(2.0)]TJ 0 -10.959 Td [(3)-4607(3)-1754(1.0)-4500(3)-4107(35)-1753(2.0)]TJ 0 -10.959 Td [(4)-4607(4)-1754(1.0)-4500(4)-4107(36)-1753(2.0)]TJ 0 -10.959 Td [(5)-4607(5)-1754(1.0)-4500(5)-4107(37)-1753(2.0)]TJ 0 -10.959 Td [(6)-4607(6)-1754(1.0)-4500(6)-4107(38)-1753(2.0)]TJ 0 -10.959 Td [(7)-4607(7)-1754(1.0)-4500(7)-4107(39)-1753(2.0)]TJ 0 -10.958 Td [(8)-4607(8)-1754(1.0)-4500(8)-4107(40)-1753(2.0)]TJ 0 -10.959 Td [(9)-4607(9)-1754(1.0)-4500(9)-4107(41)-1753(2.0)]TJ -4.483 -10.959 Td [(10)-4107(10)-1754(1.0)-4000(10)-4107(42)-1753(2.0)]TJ 0 -10.959 Td [(11)-4107(11)-1754(1.0)-4000(11)-4107(43)-1753(2.0)]TJ 0 -10.959 Td [(12)-4107(12)-1754(1.0)-4000(12)-4107(44)-1753(2.0)]TJ 0 -10.959 Td [(13)-4107(13)-1754(1.0)-4000(13)-4107(45)-1753(2.0)]TJ 0 -10.959 Td [(14)-4107(14)-1754(1.0)-4000(14)-4107(46)-1753(2.0)]TJ 0 -10.959 Td [(15)-4107(15)-1754(1.0)-4000(15)-4107(47)-1753(2.0)]TJ 0 -10.959 Td [(16)-4107(16)-1754(1.0)-4000(16)-4107(48)-1753(2.0)]TJ 0 -10.959 Td [(17)-4107(17)-1754(1.0)-4000(17)-4107(49)-1753(2.0)]TJ 0 -10.958 Td [(18)-4107(18)-1754(1.0)-4000(18)-4107(50)-1753(2.0)]TJ 0 -10.959 Td [(19)-4107(19)-1754(1.0)-4000(19)-4107(51)-1753(2.0)]TJ 0 -10.959 Td [(20)-4107(20)-1754(1.0)-4000(20)-4107(52)-1753(2.0)]TJ 0 -10.959 Td [(21)-4107(21)-1754(1.0)-4000(21)-4107(53)-1753(2.0)]TJ 0 -10.959 Td [(22)-4107(22)-1754(1.0)-4000(22)-4107(54)-1753(2.0)]TJ 0 -10.959 Td [(23)-4107(23)-1754(1.0)-4000(23)-4107(55)-1753(2.0)]TJ 0 -10.959 Td [(24)-4107(24)-1754(1.0)-4000(24)-4107(56)-1753(2.0)]TJ 0 -10.959 Td [(25)-4107(25)-1754(1.0)-4000(25)-4107(57)-1753(2.0)]TJ 0 -10.959 Td [(26)-4107(26)-1754(1.0)-4000(26)-4107(58)-1753(2.0)]TJ 0 -10.959 Td [(27)-4107(27)-1754(1.0)-4000(27)-4107(59)-1753(2.0)]TJ 0 -10.958 Td [(28)-4107(28)-1754(1.0)-4000(28)-4107(60)-1753(2.0)]TJ 0 -10.959 Td [(29)-4107(29)-1754(1.0)-4000(29)-4107(61)-1753(2.0)]TJ 0 -10.959 Td [(30)-4107(30)-1754(1.0)-4000(30)-4107(62)-1753(2.0)]TJ 0 -10.959 Td [(31)-4107(31)-1754(1.0)-4000(31)-4107(63)-1753(2.0)]TJ 0 -10.959 Td [(32)-4107(32)-1754(1.0)-4000(32)-4107(64)-1753(2.0)]TJ 0 -10.959 Td [(33)-4107(33)-1754(2.0)-4000(33)-4107(25)-1753(1.0)]TJ 0 -10.959 Td [(34)-4107(34)-1754(2.0)-4000(34)-4107(26)-1753(1.0)]TJ 0 -10.959 Td [(35)-4107(35)-1754(2.0)-4000(35)-4107(27)-1753(1.0)]TJ 0 -10.959 Td [(36)-4107(36)-1754(2.0)-4000(36)-4107(28)-1753(1.0)]TJ 0 -10.959 Td [(37)-4107(37)-1754(2.0)-4000(37)-4107(29)-1753(1.0)]TJ 0 -10.958 Td [(38)-4107(38)-1754(2.0)-4000(38)-4107(30)-1753(1.0)]TJ 0 -10.959 Td [(39)-4107(39)-1754(2.0)-4000(39)-4107(31)-1753(1.0)]TJ 0 -10.959 Td [(40)-4107(40)-1754(2.0)-4000(40)-4107(32)-1753(1.0)]TJ 0 g 0 G 0 g 0 G -/F54 9.9626 Tf 94.641 -105.903 Td [(61)]TJ +/F57 9.9626 Tf 94.641 -105.903 Td [(61)]TJ 0 g 0 G ET @@ -14376,22 +14376,22 @@ stream 0 g 0 G 0 g 0 G BT -/F51 11.9552 Tf 150.705 706.129 Td [(5.2)-1000(psb)]TJ +/F54 11.9552 Tf 150.705 706.129 Td [(5.2)-1000(psb)]TJ ET q 1 0 0 1 198.238 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F51 11.9552 Tf 201.825 706.129 Td [(ovrl)-250(\227)-250(Overlap)-250(Update)]TJ/F54 9.9626 Tf -51.12 -18.964 Td [(These)-250(subr)18(outines)-250(applies)-250(an)-250(overlap)-250(operator)-250(to)-250(the)-250(input)-250(vector:)]TJ/F52 9.9626 Tf 154.518 -23.824 Td [(x)]TJ/F83 10.3811 Tf 8.097 0 Td [(\040)]TJ/F52 9.9626 Tf 13.497 0 Td [(Q)-42(x)]TJ/F54 9.9626 Tf -176.112 -21.014 Td [(wher)18(e:)]TJ +/F54 11.9552 Tf 201.825 706.129 Td [(ovrl)-250(\227)-250(Overlap)-250(Update)]TJ/F57 9.9626 Tf -51.12 -18.964 Td [(These)-250(subr)18(outines)-250(applies)-250(an)-250(overlap)-250(operator)-250(to)-250(the)-250(input)-250(vector:)]TJ/F55 9.9626 Tf 154.518 -23.824 Td [(x)]TJ/F86 10.3811 Tf 8.097 0 Td [(\040)]TJ/F55 9.9626 Tf 13.497 0 Td [(Q)-42(x)]TJ/F57 9.9626 Tf -176.112 -21.014 Td [(wher)18(e:)]TJ 0 g 0 G -/F52 9.9626 Tf 0.294 -19.203 Td [(x)]TJ +/F55 9.9626 Tf 0.294 -19.203 Td [(x)]TJ 0 g 0 G -/F54 9.9626 Tf 10.186 0 Td [(is)-250(the)-250(global)-250(dense)-250(submatrix)]TJ/F52 9.9626 Tf 131.351 0 Td [(x)]TJ +/F57 9.9626 Tf 10.186 0 Td [(is)-250(the)-250(global)-250(dense)-250(submatrix)]TJ/F55 9.9626 Tf 131.351 0 Td [(x)]TJ 0 g 0 G -141.607 -19.564 Td [(Q)]TJ 0 g 0 G -/F54 9.9626 Tf 12.857 0 Td [(is)-250(the)-250(overlap)-250(operator;)-250(it)-250(is)-250(the)-250(composition)-250(of)-250(two)-250(operators)]TJ/F52 9.9626 Tf 271.931 0 Td [(P)]TJ/F52 7.5716 Tf 5.424 -1.494 Td [(a)]TJ/F54 9.9626 Tf 6.445 1.494 Td [(and)]TJ/F52 9.9626 Tf 19.681 0 Td [(P)]TJ/F52 7.5716 Tf 6.405 3.616 Td [(T)]TJ/F54 9.9626 Tf 5.401 -3.616 Td [(.)]TJ +/F57 9.9626 Tf 12.857 0 Td [(is)-250(the)-250(overlap)-250(operator;)-250(it)-250(is)-250(the)-250(composition)-250(of)-250(two)-250(operators)]TJ/F55 9.9626 Tf 271.931 0 Td [(P)]TJ/F55 7.5716 Tf 5.424 -1.494 Td [(a)]TJ/F57 9.9626 Tf 6.445 1.494 Td [(and)]TJ/F55 9.9626 Tf 19.681 0 Td [(P)]TJ/F55 7.5716 Tf 6.405 3.616 Td [(T)]TJ/F57 9.9626 Tf 5.401 -3.616 Td [(.)]TJ 0 g 0 G 0 g 0 G 0 g 0 G @@ -14401,42 +14401,42 @@ q []0 d 0 J 0.398 w 0 0 m 184.337 0 l S Q BT -/F52 9.9626 Tf 236.663 573.142 Td [(x)]TJ/F51 9.9626 Tf 120.622 0 Td [(Subroutine)]TJ +/F55 9.9626 Tf 236.663 573.142 Td [(x)]TJ/F54 9.9626 Tf 120.622 0 Td [(Subroutine)]TJ ET q 1 0 0 1 230.392 569.356 cm []0 d 0 J 0.398 w 0 0 m 184.337 0 l S Q BT -/F54 9.9626 Tf 236.369 560.788 Td [(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ +/F57 9.9626 Tf 236.369 560.788 Td [(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ ET q 1 0 0 1 373.603 560.988 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 376.592 560.788 Td [(ovrl)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ +/F57 9.9626 Tf 376.592 560.788 Td [(ovrl)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ ET q 1 0 0 1 373.603 549.032 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 376.592 548.833 Td [(ovrl)]TJ -140.223 -11.955 Td [(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ +/F57 9.9626 Tf 376.592 548.833 Td [(ovrl)]TJ -140.223 -11.955 Td [(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ ET q 1 0 0 1 373.603 537.077 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 376.592 536.878 Td [(ovrl)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ +/F57 9.9626 Tf 376.592 536.878 Td [(ovrl)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ ET q 1 0 0 1 373.603 525.122 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 376.592 524.923 Td [(ovrl)]TJ +/F57 9.9626 Tf 376.592 524.923 Td [(ovrl)]TJ ET q 1 0 0 1 230.392 521.137 cm @@ -14444,11 +14444,11 @@ q Q 0 g 0 G BT -/F54 9.9626 Tf 278.277 492.758 Td [(T)92(able)-250(18:)-310(Data)-250(types)]TJ +/F57 9.9626 Tf 278.277 492.758 Td [(T)92(able)-250(18:)-310(Data)-250(types)]TJ 0 g 0 G 0 g 0 G 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG -/F59 9.9626 Tf -127.572 -23.549 Td [(call)]TJ +/F62 9.9626 Tf -127.572 -23.549 Td [(call)]TJ 0 g 0 G [-525(psb_ovrl\050x,)-525(desc_a,)-525(info\051)]TJ 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG @@ -14464,87 +14464,87 @@ BT 0 g 0 G [(work\051)]TJ 0 g 0 G -/F51 9.9626 Tf 0 -21.014 Td [(T)90(ype:)]TJ +/F54 9.9626 Tf 0 -21.014 Td [(T)90(ype:)]TJ 0 g 0 G -/F54 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ +/F57 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ 0 g 0 G -/F51 9.9626 Tf -29.828 -19.564 Td [(On)-250(Entry)]TJ +/F54 9.9626 Tf -29.828 -19.564 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -19.564 Td [(x)]TJ 0 g 0 G -/F54 9.9626 Tf 9.963 0 Td [(global)-250(dense)-250(matrix)]TJ/F52 9.9626 Tf 89.687 0 Td [(x)]TJ/F54 9.9626 Tf 5.205 0 Td [(.)]TJ -79.948 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.431 0 Td [(local)]TJ/F54 9.9626 Tf -31.431 -11.956 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(inout)]TJ/F54 9.9626 Tf 24.348 0 Td [(.)]TJ -56.148 -11.955 Td [(Speci\002ed)-207(as:)-289(a)-208(rank)-207(one)-207(or)-208(two)-207(array)-208(or)-207(an)-208(object)-207(of)-208(type)]TJ +/F57 9.9626 Tf 9.963 0 Td [(global)-250(dense)-250(matrix)]TJ/F55 9.9626 Tf 89.687 0 Td [(x)]TJ/F57 9.9626 Tf 5.205 0 Td [(.)]TJ -79.948 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.431 0 Td [(local)]TJ/F57 9.9626 Tf -31.431 -11.956 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(inout)]TJ/F57 9.9626 Tf 24.348 0 Td [(.)]TJ -56.148 -11.955 Td [(Speci\002ed)-207(as:)-289(a)-208(rank)-207(one)-207(or)-208(two)-207(array)-208(or)-207(an)-208(object)-207(of)-208(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 244.742 0 Td [(psb)]TJ +/F62 9.9626 Tf 244.742 0 Td [(psb)]TJ ET q 1 0 0 1 436.673 349.49 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 439.811 349.291 Td [(T)]TJ +/F62 9.9626 Tf 439.811 349.291 Td [(T)]TJ ET q 1 0 0 1 445.669 349.49 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 448.807 349.291 Td [(vect)]TJ +/F62 9.9626 Tf 448.807 349.291 Td [(vect)]TJ ET q 1 0 0 1 470.356 349.49 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 473.495 349.291 Td [(type)]TJ +/F62 9.9626 Tf 473.495 349.291 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf -297.884 -11.955 Td [(containing)-250(numbers)-250(of)-250(type)-250(speci\002ed)-250(in)-250(T)92(able)]TJ +/F57 9.9626 Tf -297.884 -11.955 Td [(containing)-250(numbers)-250(of)-250(type)-250(speci\002ed)-250(in)-250(T)92(able)]TJ 0 0 1 rg 0 0 1 RG [-250(18)]TJ 0 g 0 G [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.906 -19.564 Td [(desc)]TJ +/F54 9.9626 Tf -24.906 -19.564 Td [(desc)]TJ ET q 1 0 0 1 171.218 317.971 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 174.207 317.772 Td [(a)]TJ +/F54 9.9626 Tf 174.207 317.772 Td [(a)]TJ 0 g 0 G -/F54 9.9626 Tf 9.962 0 Td [(contains)-250(data)-250(str)8(uctur)18(es)-250(for)-250(communications.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(required)]TJ/F54 9.9626 Tf -27.089 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(in)]TJ/F54 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ +/F57 9.9626 Tf 9.962 0 Td [(contains)-250(data)-250(str)8(uctur)18(es)-250(for)-250(communications.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.089 0 Td [(required)]TJ/F57 9.9626 Tf -27.089 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(in)]TJ/F57 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 168.138 0 Td [(psb)]TJ +/F62 9.9626 Tf 168.138 0 Td [(psb)]TJ ET q 1 0 0 1 360.068 270.151 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 363.206 269.951 Td [(desc)]TJ +/F62 9.9626 Tf 363.206 269.951 Td [(desc)]TJ ET q 1 0 0 1 384.755 270.151 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 387.893 269.951 Td [(type)]TJ +/F62 9.9626 Tf 387.893 269.951 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf 20.922 0 Td [(.)]TJ +/F57 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -258.11 -19.564 Td [(update)]TJ +/F54 9.9626 Tf -258.11 -19.564 Td [(update)]TJ 0 g 0 G -/F54 9.9626 Tf 36.523 0 Td [(Update)-250(operator)74(.)]TJ +/F57 9.9626 Tf 36.523 0 Td [(Update)-250(operator)74(.)]TJ 0 g 0 G -/F51 9.9626 Tf -11.617 -31.519 Td [(update)-250(=)-250(psb)]TJ +/F54 9.9626 Tf -11.617 -31.519 Td [(update)-250(=)-250(psb)]TJ ET q 1 0 0 1 235.367 219.067 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 238.356 218.868 Td [(none)]TJ +/F54 9.9626 Tf 238.356 218.868 Td [(none)]TJ ET q 1 0 0 1 261.648 219.067 cm @@ -14552,16 +14552,16 @@ q Q 0 g 0 G BT -/F54 9.9626 Tf 269.619 218.868 Td [(Do)-250(nothing;)]TJ +/F57 9.9626 Tf 269.619 218.868 Td [(Do)-250(nothing;)]TJ 0 g 0 G -/F51 9.9626 Tf -94.008 -15.579 Td [(update)-250(=)-250(psb)]TJ +/F54 9.9626 Tf -94.008 -15.579 Td [(update)-250(=)-250(psb)]TJ ET q 1 0 0 1 235.367 203.488 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 238.356 203.289 Td [(add)]TJ +/F54 9.9626 Tf 238.356 203.289 Td [(add)]TJ ET q 1 0 0 1 256.109 203.488 cm @@ -14569,16 +14569,16 @@ q Q 0 g 0 G BT -/F54 9.9626 Tf 264.079 203.289 Td [(Sum)-250(overlap)-250(entries,)-250(i.e.)-310(apply)]TJ/F52 9.9626 Tf 137.239 0 Td [(P)]TJ/F52 7.5716 Tf 6.405 3.617 Td [(T)]TJ/F54 9.9626 Tf 5.4 -3.617 Td [(;)]TJ +/F57 9.9626 Tf 264.079 203.289 Td [(Sum)-250(overlap)-250(entries,)-250(i.e.)-310(apply)]TJ/F55 9.9626 Tf 137.239 0 Td [(P)]TJ/F55 7.5716 Tf 6.405 3.617 Td [(T)]TJ/F57 9.9626 Tf 5.4 -3.617 Td [(;)]TJ 0 g 0 G -/F51 9.9626 Tf -237.512 -15.579 Td [(update)-250(=)-250(psb)]TJ +/F54 9.9626 Tf -237.512 -15.579 Td [(update)-250(=)-250(psb)]TJ ET q 1 0 0 1 235.367 187.91 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 238.356 187.71 Td [(avg)]TJ +/F54 9.9626 Tf 238.356 187.71 Td [(avg)]TJ ET q 1 0 0 1 255.013 187.91 cm @@ -14586,28 +14586,28 @@ q Q 0 g 0 G BT -/F54 9.9626 Tf 262.983 187.71 Td [(A)92(verage)-250(overlap)-250(entries,)-250(i.e.)-310(apply)]TJ/F52 9.9626 Tf 153.667 0 Td [(P)]TJ/F52 7.5716 Tf 5.424 -1.494 Td [(a)]TJ/F52 9.9626 Tf 4.278 1.494 Td [(P)]TJ/F52 7.5716 Tf 6.405 3.617 Td [(T)]TJ/F54 9.9626 Tf 5.401 -3.617 Td [(;)]TJ -262.547 -19.564 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(global)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(in)]TJ/F54 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Default:)]TJ/F52 9.9626 Tf 38.64 0 Td [(u)-80(p)-25(d)-40(a)-25(t)-25(e)]TJ +/F57 9.9626 Tf 262.983 187.71 Td [(A)92(verage)-250(overlap)-250(entries,)-250(i.e.)-310(apply)]TJ/F55 9.9626 Tf 153.667 0 Td [(P)]TJ/F55 7.5716 Tf 5.424 -1.494 Td [(a)]TJ/F55 9.9626 Tf 4.278 1.494 Td [(P)]TJ/F55 7.5716 Tf 6.405 3.617 Td [(T)]TJ/F57 9.9626 Tf 5.401 -3.617 Td [(;)]TJ -262.547 -19.564 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(global)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(in)]TJ/F57 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Default:)]TJ/F55 9.9626 Tf 38.64 0 Td [(u)-80(p)-25(d)-40(a)-25(t)-25(e)]TJ ET q 1 0 0 1 244.034 144.435 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F52 9.9626 Tf 247.147 144.236 Td [(t)-25(y)-80(p)-25(e)]TJ/F85 10.3811 Tf 21.467 0 Td [(=)]TJ/F52 9.9626 Tf 11.634 0 Td [(p)-25(s)-25(b)]TJ +/F55 9.9626 Tf 247.147 144.236 Td [(t)-25(y)-80(p)-25(e)]TJ/F88 10.3811 Tf 21.467 0 Td [(=)]TJ/F55 9.9626 Tf 11.634 0 Td [(p)-25(s)-25(b)]TJ ET q 1 0 0 1 294.938 144.435 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F52 9.9626 Tf 298.201 144.236 Td [(a)-25(v)-47(g)]TJ +/F55 9.9626 Tf 298.201 144.236 Td [(a)-25(v)-47(g)]TJ ET q 1 0 0 1 314.026 144.435 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 175.611 132.281 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(global)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(integer)-250(variable.)]TJ +/F57 9.9626 Tf 175.611 132.281 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(global)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(integer)-250(variable.)]TJ 0 g 0 G 141.968 -29.888 Td [(62)]TJ 0 g 0 G @@ -14624,36 +14624,36 @@ stream 0 g 0 G 0 g 0 G BT -/F51 9.9626 Tf 99.895 706.129 Td [(work)]TJ +/F54 9.9626 Tf 99.895 706.129 Td [(work)]TJ 0 g 0 G -/F54 9.9626 Tf 28.782 0 Td [(the)-250(work)-250(array)111(.)]TJ -3.875 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(optional)]TJ/F54 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(inout)]TJ/F54 9.9626 Tf 24.349 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(one)-250(dimensional)-250(array)-250(of)-250(the)-250(same)-250(type)-250(of)]TJ/F52 9.9626 Tf 252.794 0 Td [(x)]TJ/F54 9.9626 Tf 5.206 0 Td [(.)]TJ +/F57 9.9626 Tf 28.782 0 Td [(the)-250(work)-250(array)111(.)]TJ -3.875 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(optional)]TJ/F57 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(inout)]TJ/F57 9.9626 Tf 24.349 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(one)-250(dimensional)-250(array)-250(of)-250(the)-250(same)-250(type)-250(of)]TJ/F55 9.9626 Tf 252.794 0 Td [(x)]TJ/F57 9.9626 Tf 5.206 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -282.907 -19.925 Td [(On)-250(Return)]TJ +/F54 9.9626 Tf -282.907 -19.925 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -19.925 Td [(x)]TJ 0 g 0 G -/F54 9.9626 Tf 9.963 0 Td [(global)-250(dense)-250(r)18(esult)-250(matrix)]TJ/F52 9.9626 Tf 117.084 0 Td [(x)]TJ/F54 9.9626 Tf 5.206 0 Td [(.)]TJ -107.346 -11.956 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(inout)]TJ/F54 9.9626 Tf 24.349 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-379(as:)-568(an)-379(array)-379(of)-379(rank)-379(one)-379(or)-379(two)-379(containing)-379(numbers)-379(of)-379(type)]TJ 0 -11.955 Td [(speci\002ed)-250(in)-250(T)92(able)]TJ +/F57 9.9626 Tf 9.963 0 Td [(global)-250(dense)-250(r)18(esult)-250(matrix)]TJ/F55 9.9626 Tf 117.084 0 Td [(x)]TJ/F57 9.9626 Tf 5.206 0 Td [(.)]TJ -107.346 -11.956 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(inout)]TJ/F57 9.9626 Tf 24.349 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-379(as:)-568(an)-379(array)-379(of)-379(rank)-379(one)-379(or)-379(two)-379(containing)-379(numbers)-379(of)-379(type)]TJ 0 -11.955 Td [(speci\002ed)-250(in)-250(T)92(able)]TJ 0 0 1 rg 0 0 1 RG [-250(18)]TJ 0 g 0 G [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.907 -19.926 Td [(info)]TJ +/F54 9.9626 Tf -24.907 -19.926 Td [(info)]TJ 0 g 0 G -/F54 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ/F51 11.9552 Tf -24.907 -21.918 Td [(Notes)]TJ +/F57 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(out)]TJ/F57 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ/F54 11.9552 Tf -24.907 -21.918 Td [(Notes)]TJ 0 g 0 G -/F54 9.9626 Tf 12.454 -19.925 Td [(1.)]TJ +/F57 9.9626 Tf 12.454 -19.925 Td [(1.)]TJ 0 g 0 G [-500(If)-241(ther)18(e)-240(is)-241(no)-241(overlap)-240(in)-241(the)-241(data)-240(distribution)-241(associated)-241(with)-240(the)-241(descrip-)]TJ 12.453 -11.955 Td [(tor)74(,)-250(no)-250(operations)-250(ar)18(e)-250(performed;)]TJ 0 g 0 G -12.453 -19.926 Td [(2.)]TJ 0 g 0 G - [-500(The)-284(operator)]TJ/F52 9.9626 Tf 72.855 0 Td [(P)]TJ/F52 7.5716 Tf 6.405 3.617 Td [(T)]TJ/F54 9.9626 Tf 8.232 -3.617 Td [(performs)-284(the)-284(r)18(eduction)-285(sum)-284(of)-284(overlap)-284(elements;)-302(it)-284(is)-284(a)]TJ -75.039 -11.955 Td [(\223pr)18(olongation\224)-265(operator)]TJ/F52 9.9626 Tf 110.535 0 Td [(P)]TJ/F52 7.5716 Tf 6.405 3.616 Td [(T)]TJ/F54 9.9626 Tf 8.044 -3.616 Td [(that)-265(r)18(eplicates)-266(ov)1(erlap)-266(elements,)-269(accounting)]TJ -124.984 -11.955 Td [(for)-250(the)-250(physical)-250(r)18(eplication)-250(of)-250(data;)]TJ + [-500(The)-284(operator)]TJ/F55 9.9626 Tf 72.855 0 Td [(P)]TJ/F55 7.5716 Tf 6.405 3.617 Td [(T)]TJ/F57 9.9626 Tf 8.232 -3.617 Td [(performs)-284(the)-284(r)18(eduction)-285(sum)-284(of)-284(overlap)-284(elements;)-302(it)-284(is)-284(a)]TJ -75.039 -11.955 Td [(\223pr)18(olongation\224)-265(operator)]TJ/F55 9.9626 Tf 110.535 0 Td [(P)]TJ/F55 7.5716 Tf 6.405 3.616 Td [(T)]TJ/F57 9.9626 Tf 8.044 -3.616 Td [(that)-265(r)18(eplicates)-266(ov)1(erlap)-266(elements,)-269(accounting)]TJ -124.984 -11.955 Td [(for)-250(the)-250(physical)-250(r)18(eplication)-250(of)-250(data;)]TJ 0 g 0 G -12.453 -19.925 Td [(3.)]TJ 0 g 0 G - [-500(The)-190(operator)]TJ/F52 9.9626 Tf 70.978 0 Td [(P)]TJ/F52 7.5716 Tf 5.423 -1.495 Td [(a)]TJ/F54 9.9626 Tf 5.848 1.495 Td [(performs)-190(a)-190(scaling)-190(on)-190(the)-190(overlap)-190(elements)-190(by)-190(the)-190(amount)]TJ -69.796 -11.956 Td [(of)-325(r)18(eplication;)-363(thus,)-343(when)-325(combined)-325(with)-325(the)-325(r)18(eduction)-325(operator)74(,)-344(it)-325(im-)]TJ 0 -11.955 Td [(plements)-250(the)-250(average)-250(of)-250(r)18(eplicated)-250(elements)-250(over)-250(all)-250(of)-250(their)-250(instances.)]TJ/F51 11.9552 Tf -24.907 -19.925 Td [(Example)-320(of)-320(use)]TJ/F54 9.9626 Tf 87.879 0 Td [(Consider)-320(the)-320(discr)18(etization)-320(mesh)-320(depicted)-320(in)-320(\002g.)]TJ + [-500(The)-190(operator)]TJ/F55 9.9626 Tf 70.978 0 Td [(P)]TJ/F55 7.5716 Tf 5.423 -1.495 Td [(a)]TJ/F57 9.9626 Tf 5.848 1.495 Td [(performs)-190(a)-190(scaling)-190(on)-190(the)-190(overlap)-190(elements)-190(by)-190(the)-190(amount)]TJ -69.796 -11.956 Td [(of)-325(r)18(eplication;)-363(thus,)-343(when)-325(combined)-325(with)-325(the)-325(r)18(eduction)-325(operator)74(,)-344(it)-325(im-)]TJ 0 -11.955 Td [(plements)-250(the)-250(average)-250(of)-250(r)18(eplicated)-250(elements)-250(over)-250(all)-250(of)-250(their)-250(instances.)]TJ/F54 11.9552 Tf -24.907 -19.925 Td [(Example)-320(of)-320(use)]TJ/F57 9.9626 Tf 87.879 0 Td [(Consider)-320(the)-320(discr)18(etization)-320(mesh)-320(depicted)-320(in)-320(\002g.)]TJ 0 0 1 rg 0 0 1 RG [-320(4)]TJ 0 g 0 G @@ -14661,7 +14661,7 @@ BT 0 0 1 rg 0 0 1 RG [-261(3)]TJ 0 g 0 G - [(;)-265(the)-261(data)-260(distribution)-261(is)-260(such)]TJ 0 -11.956 Td [(that)-267(each)-268(pr)18(ocess)-267(will)-267(own)-267(40)-268(entries)-267(in)-267(the)-267(index)-268(space,)-271(with)-267(an)-268(overlap)-267(of)-267(16)]TJ 0 -11.955 Td [(entries)-249(placed)-248(at)-249(local)-249(i)1(ndices)-249(25)-249(thr)18(ough)-248(40;)-249(the)-249(halo)-249(will)-248(r)8(un)-249(fr)18(om)-249(local)-248(index)]TJ 0 -11.955 Td [(41)-236(thr)18(ough)-237(local)-236(index)-237(48..)-305(If)-236(pr)18(ocess)-237(0)-236(assigns)-237(an)-236(initial)-236(value)-237(of)-236(1)-236(to)-237(its)-236(entries)]TJ 0 -11.955 Td [(in)-259(the)]TJ/F52 9.9626 Tf 27.963 0 Td [(x)]TJ/F54 9.9626 Tf 7.782 0 Td [(vector)74(,)-261(and)-258(pr)18(ocess)-259(1)-259(assigns)-258(a)-259(value)-259(of)-258(2,)-261(then)-259(after)-258(a)-259(call)-259(to)]TJ/F59 9.9626 Tf 266.124 0 Td [(psb_ovrl)]TJ/F54 9.9626 Tf -301.869 -11.955 Td [(with)]TJ/F59 9.9626 Tf 22.816 0 Td [(psb_avg_)]TJ/F54 9.9626 Tf 44.404 0 Td [(and)-257(a)-257(call)-257(to)]TJ/F59 9.9626 Tf 55.983 0 Td [(psb_halo_)]TJ/F54 9.9626 Tf 49.635 0 Td [(the)-257(contents)-257(of)-257(the)-257(local)-257(vectors)-257(will)-258(b)1(e)]TJ -172.838 -11.955 Td [(the)-250(following)-250(\050showing)-250(a)-250(transition)-250(among)-250(the)-250(two)-250(subdomains\051)]TJ + [(;)-265(the)-261(data)-260(distribution)-261(is)-260(such)]TJ 0 -11.956 Td [(that)-267(each)-268(pr)18(ocess)-267(will)-267(own)-267(40)-268(entries)-267(in)-267(the)-267(index)-268(space,)-271(with)-267(an)-268(overlap)-267(of)-267(16)]TJ 0 -11.955 Td [(entries)-249(placed)-248(at)-249(local)-249(i)1(ndices)-249(25)-249(thr)18(ough)-248(40;)-249(the)-249(halo)-249(will)-248(r)8(un)-249(fr)18(om)-249(local)-248(index)]TJ 0 -11.955 Td [(41)-236(thr)18(ough)-237(local)-236(index)-237(48..)-305(If)-236(pr)18(ocess)-237(0)-236(assigns)-237(an)-236(initial)-236(value)-237(of)-236(1)-236(to)-237(its)-236(entries)]TJ 0 -11.955 Td [(in)-259(the)]TJ/F55 9.9626 Tf 27.963 0 Td [(x)]TJ/F57 9.9626 Tf 7.782 0 Td [(vector)74(,)-261(and)-258(pr)18(ocess)-259(1)-259(assigns)-258(a)-259(value)-259(of)-258(2,)-261(then)-259(after)-258(a)-259(call)-259(to)]TJ/F62 9.9626 Tf 266.124 0 Td [(psb_ovrl)]TJ/F57 9.9626 Tf -301.869 -11.955 Td [(with)]TJ/F62 9.9626 Tf 22.816 0 Td [(psb_avg_)]TJ/F57 9.9626 Tf 44.404 0 Td [(and)-257(a)-257(call)-257(to)]TJ/F62 9.9626 Tf 55.983 0 Td [(psb_halo_)]TJ/F57 9.9626 Tf 49.635 0 Td [(the)-257(contents)-257(of)-257(the)-257(local)-257(vectors)-257(will)-258(b)1(e)]TJ -172.838 -11.955 Td [(the)-250(following)-250(\050showing)-250(a)-250(transition)-250(among)-250(the)-250(two)-250(subdomains\051)]TJ 0 g 0 G 166.875 -143.462 Td [(63)]TJ 0 g 0 G @@ -14680,10 +14680,10 @@ stream 0 g 0 G 0 g 0 G BT -/F54 7.9701 Tf 265.805 653.177 Td [(Pr)18(ocess)-250(0)-8396(Pr)18(ocess)-250(1)]TJ -31.163 -9.464 Td [(I)-1500(GLOB\050I\051)-1500(X\050I\051)-5163(I)-1500(GLOB\050I\051)-1500(X\050I\051)]TJ -1.299 -9.465 Td [(1)-4774(1)-1920(1.0)-5000(1)-4274(33)-1920(1.5)]TJ 0 -9.464 Td [(2)-4774(2)-1920(1.0)-5000(2)-4274(34)-1920(1.5)]TJ 0 -9.465 Td [(3)-4774(3)-1920(1.0)-5000(3)-4274(35)-1920(1.5)]TJ 0 -9.464 Td [(4)-4774(4)-1920(1.0)-5000(4)-4274(36)-1920(1.5)]TJ 0 -9.465 Td [(5)-4774(5)-1920(1.0)-5000(5)-4274(37)-1920(1.5)]TJ 0 -9.464 Td [(6)-4774(6)-1920(1.0)-5000(6)-4274(38)-1920(1.5)]TJ 0 -9.465 Td [(7)-4774(7)-1920(1.0)-5000(7)-4274(39)-1920(1.5)]TJ 0 -9.464 Td [(8)-4774(8)-1920(1.0)-5000(8)-4274(40)-1920(1.5)]TJ 0 -9.465 Td [(9)-4774(9)-1920(1.0)-5000(9)-4274(41)-1920(2.0)]TJ -3.985 -9.464 Td [(10)-4274(10)-1920(1.0)-4500(10)-4274(42)-1920(2.0)]TJ 0 -9.465 Td [(11)-4274(11)-1920(1.0)-4500(11)-4274(43)-1920(2.0)]TJ 0 -9.464 Td [(12)-4274(12)-1920(1.0)-4500(12)-4274(44)-1920(2.0)]TJ 0 -9.465 Td [(13)-4274(13)-1920(1.0)-4500(13)-4274(45)-1920(2.0)]TJ 0 -9.464 Td [(14)-4274(14)-1920(1.0)-4500(14)-4274(46)-1920(2.0)]TJ 0 -9.465 Td [(15)-4274(15)-1920(1.0)-4500(15)-4274(47)-1920(2.0)]TJ 0 -9.464 Td [(16)-4274(16)-1920(1.0)-4500(16)-4274(48)-1920(2.0)]TJ 0 -9.465 Td [(17)-4274(17)-1920(1.0)-4500(17)-4274(49)-1920(2.0)]TJ 0 -9.464 Td [(18)-4274(18)-1920(1.0)-4500(18)-4274(50)-1920(2.0)]TJ 0 -9.465 Td [(19)-4274(19)-1920(1.0)-4500(19)-4274(51)-1920(2.0)]TJ 0 -9.464 Td [(20)-4274(20)-1920(1.0)-4500(20)-4274(52)-1920(2.0)]TJ 0 -9.465 Td [(21)-4274(21)-1920(1.0)-4500(21)-4274(53)-1920(2.0)]TJ 0 -9.464 Td [(22)-4274(22)-1920(1.0)-4500(22)-4274(54)-1920(2.0)]TJ 0 -9.465 Td [(23)-4274(23)-1920(1.0)-4500(23)-4274(55)-1920(2.0)]TJ 0 -9.464 Td [(24)-4274(24)-1920(1.0)-4500(24)-4274(56)-1920(2.0)]TJ 0 -9.465 Td [(25)-4274(25)-1920(1.5)-4500(25)-4274(57)-1920(2.0)]TJ 0 -9.464 Td [(26)-4274(26)-1920(1.5)-4500(26)-4274(58)-1920(2.0)]TJ 0 -9.465 Td [(27)-4274(27)-1920(1.5)-4500(27)-4274(59)-1920(2.0)]TJ 0 -9.464 Td [(28)-4274(28)-1920(1.5)-4500(28)-4274(60)-1920(2.0)]TJ 0 -9.465 Td [(29)-4274(29)-1920(1.5)-4500(29)-4274(61)-1920(2.0)]TJ 0 -9.464 Td [(30)-4274(30)-1920(1.5)-4500(30)-4274(62)-1920(2.0)]TJ 0 -9.465 Td [(31)-4274(31)-1920(1.5)-4500(31)-4274(63)-1920(2.0)]TJ 0 -9.464 Td [(32)-4274(32)-1920(1.5)-4500(32)-4274(64)-1920(2.0)]TJ 0 -9.465 Td [(33)-4274(33)-1920(1.5)-4500(33)-4274(25)-1920(1.5)]TJ 0 -9.464 Td [(34)-4274(34)-1920(1.5)-4500(34)-4274(26)-1920(1.5)]TJ 0 -9.465 Td [(35)-4274(35)-1920(1.5)-4500(35)-4274(27)-1920(1.5)]TJ 0 -9.464 Td [(36)-4274(36)-1920(1.5)-4500(36)-4274(28)-1920(1.5)]TJ 0 -9.465 Td [(37)-4274(37)-1920(1.5)-4500(37)-4274(29)-1920(1.5)]TJ 0 -9.464 Td [(38)-4274(38)-1920(1.5)-4500(38)-4274(30)-1920(1.5)]TJ 0 -9.465 Td [(39)-4274(39)-1920(1.5)-4500(39)-4274(31)-1920(1.5)]TJ 0 -9.464 Td [(40)-4274(40)-1920(1.5)-4500(40)-4274(32)-1920(1.5)]TJ 0 -9.465 Td [(41)-4274(41)-1920(2.0)-4500(41)-4274(17)-1920(1.0)]TJ 0 -9.464 Td [(42)-4274(42)-1920(2.0)-4500(42)-4274(18)-1920(1.0)]TJ 0 -9.465 Td [(43)-4274(43)-1920(2.0)-4500(43)-4274(19)-1920(1.0)]TJ 0 -9.464 Td [(44)-4274(44)-1920(2.0)-4500(44)-4274(20)-1920(1.0)]TJ 0 -9.465 Td [(45)-4274(45)-1920(2.0)-4500(45)-4274(21)-1920(1.0)]TJ 0 -9.464 Td [(46)-4274(46)-1920(2.0)-4500(46)-4274(22)-1920(1.0)]TJ 0 -9.465 Td [(47)-4274(47)-1920(2.0)-4500(47)-4274(23)-1920(1.0)]TJ 0 -9.464 Td [(48)-4274(48)-1920(2.0)-4500(48)-4274(24)-1920(1.0)]TJ +/F57 7.9701 Tf 265.805 653.177 Td [(Pr)18(ocess)-250(0)-8396(Pr)18(ocess)-250(1)]TJ -31.163 -9.464 Td [(I)-1500(GLOB\050I\051)-1500(X\050I\051)-5163(I)-1500(GLOB\050I\051)-1500(X\050I\051)]TJ -1.299 -9.465 Td [(1)-4774(1)-1920(1.0)-5000(1)-4274(33)-1920(1.5)]TJ 0 -9.464 Td [(2)-4774(2)-1920(1.0)-5000(2)-4274(34)-1920(1.5)]TJ 0 -9.465 Td [(3)-4774(3)-1920(1.0)-5000(3)-4274(35)-1920(1.5)]TJ 0 -9.464 Td [(4)-4774(4)-1920(1.0)-5000(4)-4274(36)-1920(1.5)]TJ 0 -9.465 Td [(5)-4774(5)-1920(1.0)-5000(5)-4274(37)-1920(1.5)]TJ 0 -9.464 Td [(6)-4774(6)-1920(1.0)-5000(6)-4274(38)-1920(1.5)]TJ 0 -9.465 Td [(7)-4774(7)-1920(1.0)-5000(7)-4274(39)-1920(1.5)]TJ 0 -9.464 Td [(8)-4774(8)-1920(1.0)-5000(8)-4274(40)-1920(1.5)]TJ 0 -9.465 Td [(9)-4774(9)-1920(1.0)-5000(9)-4274(41)-1920(2.0)]TJ -3.985 -9.464 Td [(10)-4274(10)-1920(1.0)-4500(10)-4274(42)-1920(2.0)]TJ 0 -9.465 Td [(11)-4274(11)-1920(1.0)-4500(11)-4274(43)-1920(2.0)]TJ 0 -9.464 Td [(12)-4274(12)-1920(1.0)-4500(12)-4274(44)-1920(2.0)]TJ 0 -9.465 Td [(13)-4274(13)-1920(1.0)-4500(13)-4274(45)-1920(2.0)]TJ 0 -9.464 Td [(14)-4274(14)-1920(1.0)-4500(14)-4274(46)-1920(2.0)]TJ 0 -9.465 Td [(15)-4274(15)-1920(1.0)-4500(15)-4274(47)-1920(2.0)]TJ 0 -9.464 Td [(16)-4274(16)-1920(1.0)-4500(16)-4274(48)-1920(2.0)]TJ 0 -9.465 Td [(17)-4274(17)-1920(1.0)-4500(17)-4274(49)-1920(2.0)]TJ 0 -9.464 Td [(18)-4274(18)-1920(1.0)-4500(18)-4274(50)-1920(2.0)]TJ 0 -9.465 Td [(19)-4274(19)-1920(1.0)-4500(19)-4274(51)-1920(2.0)]TJ 0 -9.464 Td [(20)-4274(20)-1920(1.0)-4500(20)-4274(52)-1920(2.0)]TJ 0 -9.465 Td [(21)-4274(21)-1920(1.0)-4500(21)-4274(53)-1920(2.0)]TJ 0 -9.464 Td [(22)-4274(22)-1920(1.0)-4500(22)-4274(54)-1920(2.0)]TJ 0 -9.465 Td [(23)-4274(23)-1920(1.0)-4500(23)-4274(55)-1920(2.0)]TJ 0 -9.464 Td [(24)-4274(24)-1920(1.0)-4500(24)-4274(56)-1920(2.0)]TJ 0 -9.465 Td [(25)-4274(25)-1920(1.5)-4500(25)-4274(57)-1920(2.0)]TJ 0 -9.464 Td [(26)-4274(26)-1920(1.5)-4500(26)-4274(58)-1920(2.0)]TJ 0 -9.465 Td [(27)-4274(27)-1920(1.5)-4500(27)-4274(59)-1920(2.0)]TJ 0 -9.464 Td [(28)-4274(28)-1920(1.5)-4500(28)-4274(60)-1920(2.0)]TJ 0 -9.465 Td [(29)-4274(29)-1920(1.5)-4500(29)-4274(61)-1920(2.0)]TJ 0 -9.464 Td [(30)-4274(30)-1920(1.5)-4500(30)-4274(62)-1920(2.0)]TJ 0 -9.465 Td [(31)-4274(31)-1920(1.5)-4500(31)-4274(63)-1920(2.0)]TJ 0 -9.464 Td [(32)-4274(32)-1920(1.5)-4500(32)-4274(64)-1920(2.0)]TJ 0 -9.465 Td [(33)-4274(33)-1920(1.5)-4500(33)-4274(25)-1920(1.5)]TJ 0 -9.464 Td [(34)-4274(34)-1920(1.5)-4500(34)-4274(26)-1920(1.5)]TJ 0 -9.465 Td [(35)-4274(35)-1920(1.5)-4500(35)-4274(27)-1920(1.5)]TJ 0 -9.464 Td [(36)-4274(36)-1920(1.5)-4500(36)-4274(28)-1920(1.5)]TJ 0 -9.465 Td [(37)-4274(37)-1920(1.5)-4500(37)-4274(29)-1920(1.5)]TJ 0 -9.464 Td [(38)-4274(38)-1920(1.5)-4500(38)-4274(30)-1920(1.5)]TJ 0 -9.465 Td [(39)-4274(39)-1920(1.5)-4500(39)-4274(31)-1920(1.5)]TJ 0 -9.464 Td [(40)-4274(40)-1920(1.5)-4500(40)-4274(32)-1920(1.5)]TJ 0 -9.465 Td [(41)-4274(41)-1920(2.0)-4500(41)-4274(17)-1920(1.0)]TJ 0 -9.464 Td [(42)-4274(42)-1920(2.0)-4500(42)-4274(18)-1920(1.0)]TJ 0 -9.465 Td [(43)-4274(43)-1920(2.0)-4500(43)-4274(19)-1920(1.0)]TJ 0 -9.464 Td [(44)-4274(44)-1920(2.0)-4500(44)-4274(20)-1920(1.0)]TJ 0 -9.465 Td [(45)-4274(45)-1920(2.0)-4500(45)-4274(21)-1920(1.0)]TJ 0 -9.464 Td [(46)-4274(46)-1920(2.0)-4500(46)-4274(22)-1920(1.0)]TJ 0 -9.465 Td [(47)-4274(47)-1920(2.0)-4500(47)-4274(23)-1920(1.0)]TJ 0 -9.464 Td [(48)-4274(48)-1920(2.0)-4500(48)-4274(24)-1920(1.0)]TJ 0 g 0 G 0 g 0 G -/F54 9.9626 Tf 88.221 -98.979 Td [(64)]TJ +/F57 9.9626 Tf 88.221 -98.979 Td [(64)]TJ 0 g 0 G ET @@ -14710,7 +14710,7 @@ Q 0 g 0 G 1 0 0 1 -104.053 -292.88 cm BT -/F54 9.9626 Tf 189.276 261 Td [(Figur)18(e)-250(4:)-310(Sample)-250(discr)18(etization)-250(mesh.)]TJ +/F57 9.9626 Tf 189.276 261 Td [(Figur)18(e)-250(4:)-310(Sample)-250(discr)18(etization)-250(mesh.)]TJ 0 g 0 G 0 g 0 G 0 g 0 G @@ -14887,61 +14887,61 @@ stream 0 g 0 G 0 g 0 G BT -/F51 11.9552 Tf 150.705 706.129 Td [(5.3)-1000(psb)]TJ +/F54 11.9552 Tf 150.705 706.129 Td [(5.3)-1000(psb)]TJ ET q 1 0 0 1 198.238 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F51 11.9552 Tf 201.825 706.129 Td [(gather)-250(\227)-250(Gather)-250(Global)-250(Dense)-250(Matrix)]TJ/F54 9.9626 Tf -51.12 -19.441 Td [(These)-280(subr)18(outines)-280(collect)-280(the)-280(portions)-280(of)-280(g)1(lobal)-280(dense)-280(matrix)-280(distributed)-280(over)]TJ 0 -11.955 Td [(all)-250(pr)18(ocess)-250(into)-250(one)-250(single)-250(array)-250(stor)18(ed)-250(on)-250(one)-250(pr)18(ocess.)]TJ/F52 9.9626 Tf 120.161 -25.465 Td [(g)-25(l)-55(o)-35(b)]TJ +/F54 11.9552 Tf 201.825 706.129 Td [(gather)-250(\227)-250(Gather)-250(Global)-250(Dense)-250(Matrix)]TJ/F57 9.9626 Tf -51.12 -19.441 Td [(These)-280(subr)18(outines)-280(collect)-280(the)-280(portions)-280(of)-280(g)1(lobal)-280(dense)-280(matrix)-280(distributed)-280(over)]TJ 0 -11.955 Td [(all)-250(pr)18(ocess)-250(into)-250(one)-250(single)-250(array)-250(stor)18(ed)-250(on)-250(one)-250(pr)18(ocess.)]TJ/F55 9.9626 Tf 120.161 -25.465 Td [(g)-25(l)-55(o)-35(b)]TJ ET q 1 0 0 1 289.521 649.467 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F52 9.9626 Tf 292.803 649.268 Td [(x)]TJ/F83 10.3811 Tf 8.097 0 Td [(\040)]TJ/F52 9.9626 Tf 13.398 0 Td [(c)-25(o)-35(l)-55(l)-55(e)-25(c)-25(t)]TJ/F85 10.3811 Tf 27.705 0 Td [(\050)]TJ/F52 9.9626 Tf 4.274 0 Td [(l)-55(o)-35(c)]TJ +/F55 9.9626 Tf 292.803 649.268 Td [(x)]TJ/F86 10.3811 Tf 8.097 0 Td [(\040)]TJ/F55 9.9626 Tf 13.398 0 Td [(c)-25(o)-35(l)-55(l)-55(e)-25(c)-25(t)]TJ/F88 10.3811 Tf 27.705 0 Td [(\050)]TJ/F55 9.9626 Tf 4.274 0 Td [(l)-55(o)-35(c)]TJ ET q 1 0 0 1 359.144 649.467 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F52 9.9626 Tf 362.427 649.268 Td [(x)]TJ/F52 7.5716 Tf 5.147 -1.96 Td [(i)]TJ/F85 10.3811 Tf 2.875 1.96 Td [(\051)]TJ/F54 9.9626 Tf -219.744 -22.41 Td [(wher)18(e:)]TJ +/F55 9.9626 Tf 362.427 649.268 Td [(x)]TJ/F55 7.5716 Tf 5.147 -1.96 Td [(i)]TJ/F88 10.3811 Tf 2.875 1.96 Td [(\051)]TJ/F57 9.9626 Tf -219.744 -22.41 Td [(wher)18(e:)]TJ 0 g 0 G -/F52 9.9626 Tf 0.344 -20.664 Td [(g)-25(l)-55(o)-35(b)]TJ +/F55 9.9626 Tf 0.344 -20.664 Td [(g)-25(l)-55(o)-35(b)]TJ ET q 1 0 0 1 169.703 606.393 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F52 9.9626 Tf 172.986 606.194 Td [(x)]TJ +/F55 9.9626 Tf 172.986 606.194 Td [(x)]TJ 0 g 0 G -/F54 9.9626 Tf 10.187 0 Td [(is)-250(the)-250(global)-250(submatrix)]TJ/F52 9.9626 Tf 103.256 0 Td [(g)-25(l)-55(o)-35(b)]TJ +/F57 9.9626 Tf 10.187 0 Td [(is)-250(the)-250(global)-250(submatrix)]TJ/F55 9.9626 Tf 103.256 0 Td [(g)-25(l)-55(o)-35(b)]TJ ET q 1 0 0 1 305.084 606.393 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F52 9.9626 Tf 308.366 606.194 Td [(x)]TJ/F54 7.5716 Tf 5.106 -1.858 Td [(1)-13(:)]TJ/F52 7.5716 Tf 5.963 0 Td [(m)]TJ/F54 7.5716 Tf 5.985 0 Td [(,1)-13(:)]TJ/F52 7.5716 Tf 7.856 0 Td [(n)]TJ +/F55 9.9626 Tf 308.366 606.194 Td [(x)]TJ/F57 7.5716 Tf 5.106 -1.858 Td [(1)-13(:)]TJ/F55 7.5716 Tf 5.963 0 Td [(m)]TJ/F57 7.5716 Tf 5.985 0 Td [(,1)-13(:)]TJ/F55 7.5716 Tf 7.856 0 Td [(n)]TJ 0 g 0 G -/F52 9.9626 Tf -182.447 -19.051 Td [(l)-55(o)-35(c)]TJ +/F55 9.9626 Tf -182.447 -19.051 Td [(l)-55(o)-35(c)]TJ ET q 1 0 0 1 163.696 585.484 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F52 9.9626 Tf 166.979 585.285 Td [(x)]TJ/F52 7.5716 Tf 5.147 -1.96 Td [(i)]TJ +/F55 9.9626 Tf 166.979 585.285 Td [(x)]TJ/F55 7.5716 Tf 5.147 -1.96 Td [(i)]TJ 0 g 0 G -/F54 9.9626 Tf 7.732 1.96 Td [(is)-250(the)-250(local)-250(portion)-250(of)-250(global)-250(dense)-250(matrix)-250(on)-250(pr)18(ocess)]TJ/F52 9.9626 Tf 234.034 0 Td [(i)]TJ/F54 9.9626 Tf 2.964 0 Td [(.)]TJ +/F57 9.9626 Tf 7.732 1.96 Td [(is)-250(the)-250(local)-250(portion)-250(of)-250(global)-250(dense)-250(matrix)-250(on)-250(pr)18(ocess)]TJ/F55 9.9626 Tf 234.034 0 Td [(i)]TJ/F57 9.9626 Tf 2.964 0 Td [(.)]TJ 0 g 0 G -/F52 9.9626 Tf -266.027 -20.91 Td [(c)-25(o)-35(l)-55(l)-55(e)-25(c)-25(t)]TJ +/F55 9.9626 Tf -266.027 -20.91 Td [(c)-25(o)-35(l)-55(l)-55(e)-25(c)-25(t)]TJ 0 g 0 G -/F54 9.9626 Tf 32.563 0 Td [(is)-250(the)-250(collect)-250(function.)]TJ +/F57 9.9626 Tf 32.563 0 Td [(is)-250(the)-250(collect)-250(function.)]TJ 0 g 0 G 0 g 0 G 0 g 0 G @@ -14951,49 +14951,49 @@ q []0 d 0 J 0.398 w 0 0 m 184.337 0 l S Q BT -/F52 9.9626 Tf 236.663 534.539 Td [(x)]TJ/F52 7.5716 Tf 5.148 -1.96 Td [(i)]TJ/F54 9.9626 Tf 2.75 1.96 Td [(,)]TJ/F52 9.9626 Tf 4.276 0 Td [(y)]TJ/F51 9.9626 Tf 108.448 0 Td [(Subroutine)]TJ +/F55 9.9626 Tf 236.663 534.539 Td [(x)]TJ/F55 7.5716 Tf 5.148 -1.96 Td [(i)]TJ/F57 9.9626 Tf 2.75 1.96 Td [(,)]TJ/F55 9.9626 Tf 4.276 0 Td [(y)]TJ/F54 9.9626 Tf 108.448 0 Td [(Subroutine)]TJ ET q 1 0 0 1 230.392 530.753 cm []0 d 0 J 0.398 w 0 0 m 184.337 0 l S Q BT -/F54 9.9626 Tf 236.369 522.185 Td [(Integer)-8983(psb)]TJ +/F57 9.9626 Tf 236.369 522.185 Td [(Integer)-8983(psb)]TJ ET q 1 0 0 1 373.603 522.385 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 376.592 522.185 Td [(gather)]TJ -140.223 -11.955 Td [(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ +/F57 9.9626 Tf 376.592 522.185 Td [(gather)]TJ -140.223 -11.955 Td [(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ ET q 1 0 0 1 373.603 510.429 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 376.592 510.23 Td [(gather)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ +/F57 9.9626 Tf 376.592 510.23 Td [(gather)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ ET q 1 0 0 1 373.603 498.474 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 376.592 498.275 Td [(gather)]TJ -140.223 -11.955 Td [(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ +/F57 9.9626 Tf 376.592 498.275 Td [(gather)]TJ -140.223 -11.955 Td [(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ ET q 1 0 0 1 373.603 486.519 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 376.592 486.32 Td [(gather)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ +/F57 9.9626 Tf 376.592 486.32 Td [(gather)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ ET q 1 0 0 1 373.603 474.564 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 376.592 474.365 Td [(gather)]TJ +/F57 9.9626 Tf 376.592 474.365 Td [(gather)]TJ ET q 1 0 0 1 230.392 470.579 cm @@ -15001,11 +15001,11 @@ q Q 0 g 0 G BT -/F54 9.9626 Tf 278.277 442.2 Td [(T)92(able)-250(19:)-310(Data)-250(types)]TJ +/F57 9.9626 Tf 278.277 442.2 Td [(T)92(able)-250(19:)-310(Data)-250(types)]TJ 0 g 0 G 0 g 0 G 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG -/F59 9.9626 Tf -127.572 -27.052 Td [(call)]TJ +/F62 9.9626 Tf -127.572 -27.052 Td [(call)]TJ 0 g 0 G [-525(psb_gather\050glob_x,)-525(loc_x,)-525(desc_a,)-525(info,)-525(root\051)]TJ 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG @@ -15013,11 +15013,11 @@ BT 0 g 0 G [-525(psb_gather\050glob_x,)-525(loc_x,)-525(desc_a,)-525(info,)-525(root\051)]TJ 0 g 0 G -/F51 9.9626 Tf 0 -22.902 Td [(T)90(ype:)]TJ +/F54 9.9626 Tf 0 -22.902 Td [(T)90(ype:)]TJ 0 g 0 G -/F54 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ +/F57 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ 0 g 0 G -/F51 9.9626 Tf -29.828 -20.91 Td [(On)-250(Entry)]TJ +/F54 9.9626 Tf -29.828 -20.91 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -20.909 Td [(loc)]TJ @@ -15027,83 +15027,83 @@ q []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 167.571 350.427 Td [(x)]TJ +/F54 9.9626 Tf 167.571 350.427 Td [(x)]TJ 0 g 0 G -/F54 9.9626 Tf 9.963 0 Td [(the)-250(local)-250(portion)-250(of)-250(global)-250(dense)-250(matrix)]TJ/F52 9.9626 Tf 175.664 0 Td [(g)-25(l)-55(o)-35(b)]TJ +/F57 9.9626 Tf 9.963 0 Td [(the)-250(local)-250(portion)-250(of)-250(global)-250(dense)-250(matrix)]TJ/F55 9.9626 Tf 175.664 0 Td [(g)-25(l)-55(o)-35(b)]TJ ET q 1 0 0 1 371.853 350.626 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F52 9.9626 Tf 375.135 350.427 Td [(x)]TJ/F54 9.9626 Tf 5.206 0 Td [(.)]TJ -204.73 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.956 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(required)]TJ/F54 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(in)]TJ/F54 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-207(as:)-289(a)-208(rank)-207(one)-208(or)-207(two)-207(array)-208(or)-207(an)-208(object)-207(of)-208(type)]TJ +/F55 9.9626 Tf 375.135 350.427 Td [(x)]TJ/F57 9.9626 Tf 5.206 0 Td [(.)]TJ -204.73 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.956 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.089 0 Td [(required)]TJ/F57 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(in)]TJ/F57 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-207(as:)-289(a)-208(rank)-207(one)-208(or)-207(two)-207(array)-208(or)-207(an)-208(object)-207(of)-208(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 244.743 0 Td [(psb)]TJ +/F62 9.9626 Tf 244.743 0 Td [(psb)]TJ ET q 1 0 0 1 436.673 302.805 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 439.811 302.606 Td [(T)]TJ +/F62 9.9626 Tf 439.811 302.606 Td [(T)]TJ ET q 1 0 0 1 445.669 302.805 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 448.807 302.606 Td [(vect)]TJ +/F62 9.9626 Tf 448.807 302.606 Td [(vect)]TJ ET q 1 0 0 1 470.356 302.805 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 473.495 302.606 Td [(type)]TJ +/F62 9.9626 Tf 473.495 302.606 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf -297.884 -11.955 Td [(indicated)-250(in)-250(T)92(able)]TJ +/F57 9.9626 Tf -297.884 -11.955 Td [(indicated)-250(in)-250(T)92(able)]TJ 0 0 1 rg 0 0 1 RG [-250(19)]TJ 0 g 0 G [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.906 -20.91 Td [(desc)]TJ +/F54 9.9626 Tf -24.906 -20.91 Td [(desc)]TJ ET q 1 0 0 1 171.218 269.941 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 174.207 269.741 Td [(a)]TJ +/F54 9.9626 Tf 174.207 269.741 Td [(a)]TJ 0 g 0 G -/F54 9.9626 Tf 9.962 0 Td [(contains)-250(data)-250(str)8(uctur)18(es)-250(for)-250(communications.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(required)]TJ/F54 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(in)]TJ/F54 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ +/F57 9.9626 Tf 9.962 0 Td [(contains)-250(data)-250(str)8(uctur)18(es)-250(for)-250(communications.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.089 0 Td [(required)]TJ/F57 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(in)]TJ/F57 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 168.138 0 Td [(psb)]TJ +/F62 9.9626 Tf 168.138 0 Td [(psb)]TJ ET q 1 0 0 1 360.068 222.12 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 363.206 221.921 Td [(desc)]TJ +/F62 9.9626 Tf 363.206 221.921 Td [(desc)]TJ ET q 1 0 0 1 384.755 222.12 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 387.893 221.921 Td [(type)]TJ +/F62 9.9626 Tf 387.893 221.921 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf 20.922 0 Td [(.)]TJ +/F57 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -258.11 -20.91 Td [(root)]TJ +/F54 9.9626 Tf -258.11 -20.91 Td [(root)]TJ 0 g 0 G -/F54 9.9626 Tf 23.252 0 Td [(The)-253(pr)18(ocess)-254(that)-253(holds)-253(the)-253(global)-254(copy)111(.)-319(If)]TJ/F52 9.9626 Tf 182.635 0 Td [(r)-17(o)-35(o)-35(t)]TJ/F85 10.3811 Tf 19.983 0 Td [(=)]TJ/F83 10.3811 Tf 11.147 0 Td [(\000)]TJ/F54 9.9626 Tf 8.194 0 Td [(1)-253(all)-254(t)1(he)-254(pr)18(ocesses)-253(will)]TJ -220.305 -11.955 Td [(have)-250(a)-250(copy)-250(of)-250(the)-250(global)-250(vector)74(.)]TJ 0 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(global)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(optional)]TJ/F54 9.9626 Tf -27.089 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(in)]TJ/F54 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(variable)]TJ/F83 10.3811 Tf 142.42 0 Td [(\000)]TJ/F54 9.9626 Tf 8.194 0 Td [(1)]TJ/F83 10.3811 Tf 7.873 0 Td [(\024)]TJ/F52 9.9626 Tf 10.986 0 Td [(r)-17(o)-35(o)-35(t)]TJ/F83 10.3811 Tf 19.923 0 Td [(\024)]TJ/F52 9.9626 Tf 11.086 0 Td [(n)-80(p)]TJ/F83 10.3811 Tf 13.504 0 Td [(\000)]TJ/F54 9.9626 Tf 10.131 0 Td [(1,)-250(default)]TJ/F83 10.3811 Tf 43.89 0 Td [(\000)]TJ/F54 9.9626 Tf 8.194 0 Td [(1.)]TJ +/F57 9.9626 Tf 23.252 0 Td [(The)-253(pr)18(ocess)-254(that)-253(holds)-253(the)-253(global)-254(copy)111(.)-319(If)]TJ/F55 9.9626 Tf 182.635 0 Td [(r)-17(o)-35(o)-35(t)]TJ/F88 10.3811 Tf 19.983 0 Td [(=)]TJ/F86 10.3811 Tf 11.147 0 Td [(\000)]TJ/F57 9.9626 Tf 8.194 0 Td [(1)-253(all)-254(t)1(he)-254(pr)18(ocesses)-253(will)]TJ -220.305 -11.955 Td [(have)-250(a)-250(copy)-250(of)-250(the)-250(global)-250(vector)74(.)]TJ 0 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(global)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.089 0 Td [(optional)]TJ/F57 9.9626 Tf -27.089 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(in)]TJ/F57 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(variable)]TJ/F86 10.3811 Tf 142.42 0 Td [(\000)]TJ/F57 9.9626 Tf 8.194 0 Td [(1)]TJ/F86 10.3811 Tf 7.873 0 Td [(\024)]TJ/F55 9.9626 Tf 10.986 0 Td [(r)-17(o)-35(o)-35(t)]TJ/F86 10.3811 Tf 19.923 0 Td [(\024)]TJ/F55 9.9626 Tf 11.086 0 Td [(n)-80(p)]TJ/F86 10.3811 Tf 13.504 0 Td [(\000)]TJ/F57 9.9626 Tf 10.131 0 Td [(1,)-250(default)]TJ/F86 10.3811 Tf 43.89 0 Td [(\000)]TJ/F57 9.9626 Tf 8.194 0 Td [(1.)]TJ 0 g 0 G -/F51 9.9626 Tf -301.107 -20.909 Td [(On)-250(Return)]TJ +/F54 9.9626 Tf -301.107 -20.909 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G -/F54 9.9626 Tf 166.874 -29.888 Td [(66)]TJ +/F57 9.9626 Tf 166.874 -29.888 Td [(66)]TJ 0 g 0 G ET @@ -15118,24 +15118,24 @@ stream 0 g 0 G 0 g 0 G BT -/F51 9.9626 Tf 99.895 706.129 Td [(glob)]TJ +/F54 9.9626 Tf 99.895 706.129 Td [(glob)]TJ ET q 1 0 0 1 120.976 706.328 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 123.965 706.129 Td [(x)]TJ +/F54 9.9626 Tf 123.965 706.129 Td [(x)]TJ 0 g 0 G -/F54 9.9626 Tf 9.963 0 Td [(The)-250(array)-250(wher)18(e)-250(the)-250(local)-250(parts)-250(must)-250(be)-250(gather)18(ed.)]TJ -9.126 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(global)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(rank)-250(one)-250(or)-250(two)-250(array)-250(with)-250(the)]TJ +/F57 9.9626 Tf 9.963 0 Td [(The)-250(array)-250(wher)18(e)-250(the)-250(local)-250(parts)-250(must)-250(be)-250(gather)18(ed.)]TJ -9.126 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(global)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(out)]TJ/F57 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(rank)-250(one)-250(or)-250(two)-250(array)-250(with)-250(the)]TJ 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG -/F59 9.9626 Tf 202.459 0 Td [(ALLOCATABLE)]TJ +/F62 9.9626 Tf 202.459 0 Td [(ALLOCATABLE)]TJ 0 g 0 G -/F54 9.9626 Tf 60.024 0 Td [(attribute.)]TJ +/F57 9.9626 Tf 60.024 0 Td [(attribute.)]TJ 0 g 0 G -/F51 9.9626 Tf -287.39 -19.925 Td [(info)]TJ +/F54 9.9626 Tf -287.39 -19.925 Td [(info)]TJ 0 g 0 G -/F54 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ +/F57 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(out)]TJ/F57 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ 0 g 0 G 141.968 -500.124 Td [(67)]TJ 0 g 0 G @@ -15151,61 +15151,61 @@ stream 0 g 0 G 0 g 0 G BT -/F51 11.9552 Tf 150.705 706.129 Td [(5.4)-1000(psb)]TJ +/F54 11.9552 Tf 150.705 706.129 Td [(5.4)-1000(psb)]TJ ET q 1 0 0 1 198.238 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F51 11.9552 Tf 201.825 706.129 Td [(scatter)-250(\227)-250(Scatter)-250(Global)-250(Dense)-250(Matrix)]TJ/F54 9.9626 Tf -51.12 -20.363 Td [(These)-223(subr)18(outines)-223(scatters)-224(the)-223(portions)-223(of)-224(global)-223(dense)-223(matrix)-223(owned)-224(by)-223(a)-223(pr)18(o-)]TJ 0 -11.955 Td [(cess)-250(to)-250(all)-250(the)-250(pr)18(ocesses)-250(in)-250(the)-250(pr)18(ocesses)-250(grid.)]TJ/F52 9.9626 Tf 119.478 -26.893 Td [(l)-55(o)-35(c)]TJ +/F54 11.9552 Tf 201.825 706.129 Td [(scatter)-250(\227)-250(Scatter)-250(Global)-250(Dense)-250(Matrix)]TJ/F57 9.9626 Tf -51.12 -20.363 Td [(These)-223(subr)18(outines)-223(scatters)-224(the)-223(portions)-223(of)-224(global)-223(dense)-223(matrix)-223(owned)-224(by)-223(a)-223(pr)18(o-)]TJ 0 -11.955 Td [(cess)-250(to)-250(all)-250(the)-250(pr)18(ocesses)-250(in)-250(the)-250(pr)18(ocesses)-250(grid.)]TJ/F55 9.9626 Tf 119.478 -26.893 Td [(l)-55(o)-35(c)]TJ ET q 1 0 0 1 283.05 647.117 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F52 9.9626 Tf 286.333 646.918 Td [(x)]TJ/F52 7.5716 Tf 5.147 -1.96 Td [(i)]TJ/F83 10.3811 Tf 5.642 1.96 Td [(\040)]TJ/F52 9.9626 Tf 13.398 0 Td [(s)-25(c)-40(a)-25(t)-25(t)-25(e)-15(r)]TJ/F85 10.3811 Tf 28.632 0 Td [(\050)]TJ/F52 9.9626 Tf 4.493 0 Td [(g)-25(l)-55(o)-35(b)]TJ +/F55 9.9626 Tf 286.333 646.918 Td [(x)]TJ/F55 7.5716 Tf 5.147 -1.96 Td [(i)]TJ/F86 10.3811 Tf 5.642 1.96 Td [(\040)]TJ/F55 9.9626 Tf 13.398 0 Td [(s)-25(c)-40(a)-25(t)-25(t)-25(e)-15(r)]TJ/F88 10.3811 Tf 28.632 0 Td [(\050)]TJ/F55 9.9626 Tf 4.493 0 Td [(g)-25(l)-55(o)-35(b)]TJ ET q 1 0 0 1 362.3 647.117 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F52 9.9626 Tf 365.583 646.918 Td [(x)]TJ/F85 10.3811 Tf 5.329 0 Td [(\051)]TJ/F54 9.9626 Tf -220.207 -23.362 Td [(wher)18(e:)]TJ +/F55 9.9626 Tf 365.583 646.918 Td [(x)]TJ/F88 10.3811 Tf 5.329 0 Td [(\051)]TJ/F57 9.9626 Tf -220.207 -23.362 Td [(wher)18(e:)]TJ 0 g 0 G -/F52 9.9626 Tf 0.344 -22.091 Td [(g)-25(l)-55(o)-35(b)]TJ +/F55 9.9626 Tf 0.344 -22.091 Td [(g)-25(l)-55(o)-35(b)]TJ ET q 1 0 0 1 169.703 601.664 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F52 9.9626 Tf 172.986 601.465 Td [(x)]TJ +/F55 9.9626 Tf 172.986 601.465 Td [(x)]TJ 0 g 0 G -/F54 9.9626 Tf 10.187 0 Td [(is)-250(the)-250(global)-250(matrix)]TJ/F52 9.9626 Tf 87.515 0 Td [(g)-25(l)-55(o)-35(b)]TJ +/F57 9.9626 Tf 10.187 0 Td [(is)-250(the)-250(global)-250(matrix)]TJ/F55 9.9626 Tf 87.515 0 Td [(g)-25(l)-55(o)-35(b)]TJ ET q 1 0 0 1 289.343 601.664 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F52 9.9626 Tf 292.626 601.465 Td [(x)]TJ/F54 7.5716 Tf 5.105 -1.858 Td [(1)-13(:)]TJ/F52 7.5716 Tf 5.963 0 Td [(m)]TJ/F54 7.5716 Tf 5.985 0 Td [(,1)-13(:)]TJ/F52 7.5716 Tf 7.856 0 Td [(n)]TJ +/F55 9.9626 Tf 292.626 601.465 Td [(x)]TJ/F57 7.5716 Tf 5.105 -1.858 Td [(1)-13(:)]TJ/F55 7.5716 Tf 5.963 0 Td [(m)]TJ/F57 7.5716 Tf 5.985 0 Td [(,1)-13(:)]TJ/F55 7.5716 Tf 7.856 0 Td [(n)]TJ 0 g 0 G -/F52 9.9626 Tf -166.706 -20.955 Td [(l)-55(o)-35(c)]TJ +/F55 9.9626 Tf -166.706 -20.955 Td [(l)-55(o)-35(c)]TJ ET q 1 0 0 1 163.696 578.851 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F52 9.9626 Tf 166.979 578.652 Td [(x)]TJ/F52 7.5716 Tf 5.147 -1.96 Td [(i)]TJ +/F55 9.9626 Tf 166.979 578.652 Td [(x)]TJ/F55 7.5716 Tf 5.147 -1.96 Td [(i)]TJ 0 g 0 G -/F54 9.9626 Tf 7.732 1.96 Td [(is)-250(the)-250(local)-250(portion)-250(of)-250(global)-250(dense)-250(matrix)-250(on)-250(pr)18(ocess)]TJ/F52 9.9626 Tf 234.034 0 Td [(i)]TJ/F54 9.9626 Tf 2.964 0 Td [(.)]TJ +/F57 9.9626 Tf 7.732 1.96 Td [(is)-250(the)-250(local)-250(portion)-250(of)-250(global)-250(dense)-250(matrix)-250(on)-250(pr)18(ocess)]TJ/F55 9.9626 Tf 234.034 0 Td [(i)]TJ/F57 9.9626 Tf 2.964 0 Td [(.)]TJ 0 g 0 G -/F52 9.9626 Tf -266.027 -22.813 Td [(s)-25(c)-40(a)-25(t)-25(t)-25(e)-15(r)]TJ +/F55 9.9626 Tf -266.027 -22.813 Td [(s)-25(c)-40(a)-25(t)-25(t)-25(e)-15(r)]TJ 0 g 0 G -/F54 9.9626 Tf 33.489 0 Td [(is)-250(the)-250(scatter)-250(function.)]TJ +/F57 9.9626 Tf 33.489 0 Td [(is)-250(the)-250(scatter)-250(function.)]TJ 0 g 0 G 0 g 0 G 0 g 0 G @@ -15215,49 +15215,49 @@ q []0 d 0 J 0.398 w 0 0 m 184.337 0 l S Q BT -/F52 9.9626 Tf 236.663 524.099 Td [(x)]TJ/F52 7.5716 Tf 5.148 -1.96 Td [(i)]TJ/F54 9.9626 Tf 2.75 1.96 Td [(,)]TJ/F52 9.9626 Tf 4.276 0 Td [(y)]TJ/F51 9.9626 Tf 108.448 0 Td [(Subroutine)]TJ +/F55 9.9626 Tf 236.663 524.099 Td [(x)]TJ/F55 7.5716 Tf 5.148 -1.96 Td [(i)]TJ/F57 9.9626 Tf 2.75 1.96 Td [(,)]TJ/F55 9.9626 Tf 4.276 0 Td [(y)]TJ/F54 9.9626 Tf 108.448 0 Td [(Subroutine)]TJ ET q 1 0 0 1 230.392 520.313 cm []0 d 0 J 0.398 w 0 0 m 184.337 0 l S Q BT -/F54 9.9626 Tf 236.369 511.745 Td [(Integer)-8983(psb)]TJ +/F57 9.9626 Tf 236.369 511.745 Td [(Integer)-8983(psb)]TJ ET q 1 0 0 1 373.603 511.945 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 376.592 511.745 Td [(scatter)]TJ -140.223 -11.955 Td [(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ +/F57 9.9626 Tf 376.592 511.745 Td [(scatter)]TJ -140.223 -11.955 Td [(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ ET q 1 0 0 1 373.603 499.989 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 376.592 499.79 Td [(scatter)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ +/F57 9.9626 Tf 376.592 499.79 Td [(scatter)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ ET q 1 0 0 1 373.603 488.034 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 376.592 487.835 Td [(scatter)]TJ -140.223 -11.955 Td [(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ +/F57 9.9626 Tf 376.592 487.835 Td [(scatter)]TJ -140.223 -11.955 Td [(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ ET q 1 0 0 1 373.603 476.079 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 376.592 475.88 Td [(scatter)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ +/F57 9.9626 Tf 376.592 475.88 Td [(scatter)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ ET q 1 0 0 1 373.603 464.124 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 376.592 463.925 Td [(scatter)]TJ +/F57 9.9626 Tf 376.592 463.925 Td [(scatter)]TJ ET q 1 0 0 1 230.392 460.139 cm @@ -15265,19 +15265,19 @@ q Q 0 g 0 G BT -/F54 9.9626 Tf 278.277 431.76 Td [(T)92(able)-250(20:)-310(Data)-250(types)]TJ +/F57 9.9626 Tf 278.277 431.76 Td [(T)92(able)-250(20:)-310(Data)-250(types)]TJ 0 g 0 G 0 g 0 G 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG -/F59 9.9626 Tf -112.628 -28.004 Td [(call)]TJ +/F62 9.9626 Tf -112.628 -28.004 Td [(call)]TJ 0 g 0 G [-525(psb_scatter\050glob_x,)-525(loc_x,)-525(desc_a,)-525(info,)-525(root,)-525(mold\051)]TJ 0 g 0 G -/F51 9.9626 Tf -14.944 -24.806 Td [(T)90(ype:)]TJ +/F54 9.9626 Tf -14.944 -24.806 Td [(T)90(ype:)]TJ 0 g 0 G -/F54 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ +/F57 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ 0 g 0 G -/F51 9.9626 Tf -29.828 -22.813 Td [(On)-250(Entry)]TJ +/F54 9.9626 Tf -29.828 -22.813 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -22.813 Td [(glob)]TJ @@ -15287,42 +15287,42 @@ q []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 174.774 333.324 Td [(x)]TJ +/F54 9.9626 Tf 174.774 333.324 Td [(x)]TJ 0 g 0 G -/F54 9.9626 Tf 9.963 0 Td [(The)-250(array)-250(that)-250(must)-250(be)-250(scatter)18(ed)-250(into)-250(local)-250(pieces.)]TJ -9.126 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(global)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(required)]TJ/F54 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(in)]TJ/F54 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(rank)-250(one)-250(or)-250(two)-250(array)111(.)]TJ +/F57 9.9626 Tf 9.963 0 Td [(The)-250(array)-250(that)-250(must)-250(be)-250(scatter)18(ed)-250(into)-250(local)-250(pieces.)]TJ -9.126 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(global)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.089 0 Td [(required)]TJ/F57 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(in)]TJ/F57 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(rank)-250(one)-250(or)-250(two)-250(array)111(.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.906 -22.814 Td [(desc)]TJ +/F54 9.9626 Tf -24.906 -22.814 Td [(desc)]TJ ET q 1 0 0 1 171.218 262.89 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 174.207 262.69 Td [(a)]TJ +/F54 9.9626 Tf 174.207 262.69 Td [(a)]TJ 0 g 0 G -/F54 9.9626 Tf 9.962 0 Td [(contains)-250(data)-250(str)8(uctur)18(es)-250(for)-250(communications.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(required)]TJ/F54 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(in)]TJ/F54 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ +/F57 9.9626 Tf 9.962 0 Td [(contains)-250(data)-250(str)8(uctur)18(es)-250(for)-250(communications.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.089 0 Td [(required)]TJ/F57 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(in)]TJ/F57 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 168.138 0 Td [(psb)]TJ +/F62 9.9626 Tf 168.138 0 Td [(psb)]TJ ET q 1 0 0 1 360.068 215.069 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 363.206 214.87 Td [(desc)]TJ +/F62 9.9626 Tf 363.206 214.87 Td [(desc)]TJ ET q 1 0 0 1 384.755 215.069 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 387.893 214.87 Td [(type)]TJ +/F62 9.9626 Tf 387.893 214.87 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf 20.922 0 Td [(.)]TJ +/F57 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -258.11 -22.813 Td [(root)]TJ +/F54 9.9626 Tf -258.11 -22.813 Td [(root)]TJ 0 g 0 G -/F54 9.9626 Tf 23.252 0 Td [(The)-218(pr)18(ocess)-218(that)-218(holds)-219(t)1(he)-219(global)-218(copy)111(.)-299(If)]TJ/F52 9.9626 Tf 179.982 0 Td [(r)-17(o)-35(o)-35(t)]TJ/F85 10.3811 Tf 19.922 0 Td [(=)]TJ/F83 10.3811 Tf 11.086 0 Td [(\000)]TJ/F54 9.9626 Tf 8.194 0 Td [(1)-218(all)-218(the)-218(pr)18(ocesses)-219(have)]TJ -217.53 -11.956 Td [(a)-250(copy)-250(of)-250(the)-250(global)-250(vector)74(.)]TJ 0 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(global)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(optional)]TJ/F54 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(in)]TJ/F54 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-258(as:)-327(an)-258(integer)-259(variable)]TJ/F83 10.3811 Tf 142.917 0 Td [(\000)]TJ/F54 9.9626 Tf 8.194 0 Td [(1)]TJ/F83 10.3811 Tf 8.027 0 Td [(\024)]TJ/F52 9.9626 Tf 11.139 0 Td [(r)-17(o)-35(o)-35(t)]TJ/F83 10.3811 Tf 20.077 0 Td [(\024)]TJ/F52 9.9626 Tf 11.239 0 Td [(n)-80(p)]TJ/F83 10.3811 Tf 13.534 0 Td [(\000)]TJ/F54 9.9626 Tf 10.162 0 Td [(1,)-260(default)]TJ/F59 9.9626 Tf 43.952 0 Td [(psb_root_)]TJ/F54 9.9626 Tf 47.073 0 Td [(,)]TJ -316.314 -11.955 Td [(i.e.)-310(pr)18(ocess)-250(0.)]TJ +/F57 9.9626 Tf 23.252 0 Td [(The)-218(pr)18(ocess)-218(that)-218(holds)-219(t)1(he)-219(global)-218(copy)111(.)-299(If)]TJ/F55 9.9626 Tf 179.982 0 Td [(r)-17(o)-35(o)-35(t)]TJ/F88 10.3811 Tf 19.922 0 Td [(=)]TJ/F86 10.3811 Tf 11.086 0 Td [(\000)]TJ/F57 9.9626 Tf 8.194 0 Td [(1)-218(all)-218(the)-218(pr)18(ocesses)-219(have)]TJ -217.53 -11.956 Td [(a)-250(copy)-250(of)-250(the)-250(global)-250(vector)74(.)]TJ 0 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(global)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.089 0 Td [(optional)]TJ/F57 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(in)]TJ/F57 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-258(as:)-327(an)-258(integer)-259(variable)]TJ/F86 10.3811 Tf 142.917 0 Td [(\000)]TJ/F57 9.9626 Tf 8.194 0 Td [(1)]TJ/F86 10.3811 Tf 8.027 0 Td [(\024)]TJ/F55 9.9626 Tf 11.139 0 Td [(r)-17(o)-35(o)-35(t)]TJ/F86 10.3811 Tf 20.077 0 Td [(\024)]TJ/F55 9.9626 Tf 11.239 0 Td [(n)-80(p)]TJ/F86 10.3811 Tf 13.534 0 Td [(\000)]TJ/F57 9.9626 Tf 10.162 0 Td [(1,)-260(default)]TJ/F62 9.9626 Tf 43.952 0 Td [(psb_root_)]TJ/F57 9.9626 Tf 47.073 0 Td [(,)]TJ -316.314 -11.955 Td [(i.e.)-310(pr)18(ocess)-250(0.)]TJ 0 g 0 G 141.968 -29.888 Td [(68)]TJ 0 g 0 G @@ -15339,71 +15339,71 @@ stream 0 g 0 G 0 g 0 G BT -/F51 9.9626 Tf 99.895 706.129 Td [(mold)]TJ +/F54 9.9626 Tf 99.895 706.129 Td [(mold)]TJ 0 g 0 G -/F54 9.9626 Tf 28.782 0 Td [(The)-250(desir)18(ed)-250(dynamic)-250(type)-250(for)-250(the)-250(internal)-250(vector)-250(storage.)]TJ -3.875 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -53.011 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(optional)]TJ/F54 9.9626 Tf 38.187 0 Td [(.)]TJ -65.275 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-223(as:)-296(an)-223(object)-223(of)-222(a)-223(class)-223(derived)-223(fr)18(om)]TJ/F59 9.9626 Tf 199.086 0 Td [(psb)]TJ +/F57 9.9626 Tf 28.782 0 Td [(The)-250(desir)18(ed)-250(dynamic)-250(type)-250(for)-250(the)-250(internal)-250(vector)-250(storage.)]TJ -3.875 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ -53.011 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(optional)]TJ/F57 9.9626 Tf 38.187 0 Td [(.)]TJ -65.275 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-223(as:)-296(an)-223(object)-223(of)-222(a)-223(class)-223(derived)-223(fr)18(om)]TJ/F62 9.9626 Tf 199.086 0 Td [(psb)]TJ ET q 1 0 0 1 340.207 658.507 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 343.345 658.308 Td [(T)]TJ +/F62 9.9626 Tf 343.345 658.308 Td [(T)]TJ ET q 1 0 0 1 349.203 658.507 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 352.341 658.308 Td [(base)]TJ +/F62 9.9626 Tf 352.341 658.308 Td [(base)]TJ ET q 1 0 0 1 373.89 658.507 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 377.028 658.308 Td [(vect)]TJ +/F62 9.9626 Tf 377.028 658.308 Td [(vect)]TJ ET q 1 0 0 1 398.577 658.507 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 401.716 658.308 Td [(type)]TJ/F54 9.9626 Tf 20.921 0 Td [(;)-232(this)]TJ -297.835 -11.955 Td [(is)-250(only)-250(allowed)-250(when)-250(loc)]TJ +/F62 9.9626 Tf 401.716 658.308 Td [(type)]TJ/F57 9.9626 Tf 20.921 0 Td [(;)-232(this)]TJ -297.835 -11.955 Td [(is)-250(only)-250(allowed)-250(when)-250(loc)]TJ ET q 1 0 0 1 234.988 646.552 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 237.976 646.353 Td [(x)-250(is)-250(of)-250(type)]TJ +/F57 9.9626 Tf 237.976 646.353 Td [(x)-250(is)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 50.53 0 Td [(psb)]TJ +/F62 9.9626 Tf 50.53 0 Td [(psb)]TJ ET q 1 0 0 1 304.825 646.552 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 307.963 646.353 Td [(T)]TJ +/F62 9.9626 Tf 307.963 646.353 Td [(T)]TJ ET q 1 0 0 1 313.821 646.552 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 316.959 646.353 Td [(vect)]TJ +/F62 9.9626 Tf 316.959 646.353 Td [(vect)]TJ ET q 1 0 0 1 338.508 646.552 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 341.646 646.353 Td [(type)]TJ +/F62 9.9626 Tf 341.646 646.353 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf 20.922 0 Td [(.)]TJ +/F57 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -262.673 -19.925 Td [(On)-250(Return)]TJ +/F54 9.9626 Tf -262.673 -19.925 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -19.926 Td [(loc)]TJ @@ -15413,49 +15413,49 @@ q []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 116.762 606.502 Td [(x)]TJ +/F54 9.9626 Tf 116.762 606.502 Td [(x)]TJ 0 g 0 G -/F54 9.9626 Tf 9.963 0 Td [(the)-250(local)-250(portion)-250(of)-250(global)-250(dense)-250(matrix)]TJ/F52 9.9626 Tf 175.664 0 Td [(g)-25(l)-55(o)-35(b)]TJ +/F57 9.9626 Tf 9.963 0 Td [(the)-250(local)-250(portion)-250(of)-250(global)-250(dense)-250(matrix)]TJ/F55 9.9626 Tf 175.664 0 Td [(g)-25(l)-55(o)-35(b)]TJ ET q 1 0 0 1 321.043 606.702 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F52 9.9626 Tf 324.326 606.502 Td [(x)]TJ/F54 9.9626 Tf 5.205 0 Td [(.)]TJ -204.729 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(Speci\002ed)-214(as:)-292(a)-215(rank)-214(one)-214(or)-214(two)-215(ALLOCA)74(T)74(ABLE)-214(array)-214(or)-214(an)-215(object)-214(of)-214(type)]TJ +/F55 9.9626 Tf 324.326 606.502 Td [(x)]TJ/F57 9.9626 Tf 5.205 0 Td [(.)]TJ -204.729 -11.955 Td [(Scope:)]TJ/F54 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-31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(out)]TJ/F57 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ 0 g 0 G 141.968 -388.543 Td [(69)]TJ 0 g 0 G @@ -15471,48 +15471,48 @@ stream 0 g 0 G 0 g 0 G BT -/F51 14.3462 Tf 150.705 706.042 Td [(6)-1000(Data)-250(management)-250(routines)]TJ/F51 11.9552 Tf 0 -24.694 Td [(6.1)-1000(psb)]TJ +/F54 14.3462 Tf 150.705 706.042 Td [(6)-1000(Data)-250(management)-250(routines)]TJ/F54 11.9552 Tf 0 -24.694 Td [(6.1)-1000(psb)]TJ ET q 1 0 0 1 198.238 681.547 cm []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F51 11.9552 Tf 201.825 681.348 Td [(cdall)-250(\227)-250(Allocates)-250(a)-250(communication)-250(descriptor)]TJ +/F54 11.9552 Tf 201.825 681.348 Td [(cdall)-250(\227)-250(Allocates)-250(a)-250(communication)-250(descriptor)]TJ 0 g 0 G 0 g 0 G -/F59 9.9626 Tf -51.12 -18.964 Td [(call)-525(psb_cdall\050icontxt,)-525(desc_a,)-525(info,mg=mg,parts=parts\051)]TJ 0 -11.955 Td [(call)-525(psb_cdall\050icontxt,)-525(desc_a,)-525(info,vg=vg,[mg=mg,flag=flag]\051)]TJ 0 -11.955 Td [(call)-525(psb_cdall\050icontxt,)-525(desc_a,)-525(info,vl=vl,[nl=nl,globalcheck=.false.,lidx=lidx]\051)]TJ 0 -11.955 Td [(call)-525(psb_cdall\050icontxt,)-525(desc_a,)-525(info,nl=nl\051)]TJ 0 -11.956 Td [(call)-525(psb_cdall\050icontxt,)-525(desc_a,)-525(info,mg=mg,repl=.true.\051)]TJ/F54 9.9626 Tf 14.944 -19.771 Td [(This)-377(subr)18(outine)-378(initializes)-377(the)-378(communication)-377(descriptor)-378(associated)-377(with)]TJ -14.944 -11.956 Td [(an)-271(index)-271(space.)-373(One)-272(o)1(f)-272(the)-271(optional)-271(ar)18(guments)]TJ/F59 9.9626 Tf 209.77 0 Td [(parts)]TJ/F54 9.9626 Tf 26.152 0 Td [(,)]TJ/F59 9.9626 Tf 5.244 0 Td [(vg)]TJ/F54 9.9626 Tf 10.461 0 Td [(,)]TJ/F59 9.9626 Tf 5.244 0 Td [(vl)]TJ/F54 9.9626 Tf 10.461 0 Td [(,)]TJ/F59 9.9626 Tf 5.244 0 Td [(nl)]TJ/F54 9.9626 Tf 13.161 0 Td [(or)]TJ/F59 9.9626 Tf 12.076 0 Td [(repl)]TJ/F54 9.9626 Tf 23.622 0 Td [(must)]TJ -321.435 -11.955 Td [(be)-250(speci\002ed,)-250(ther)18(eby)-250(choosing)-250(the)-250(speci\002c)-250(initialization)-250(strategy)111(.)]TJ +/F62 9.9626 Tf -51.12 -18.964 Td [(call)-525(psb_cdall\050icontxt,)-525(desc_a,)-525(info,mg=mg,parts=parts\051)]TJ 0 -11.955 Td [(call)-525(psb_cdall\050icontxt,)-525(desc_a,)-525(info,vg=vg,[mg=mg,flag=flag]\051)]TJ 0 -11.955 Td [(call)-525(psb_cdall\050icontxt,)-525(desc_a,)-525(info,vl=vl,[nl=nl,globalcheck=.false.,lidx=lidx]\051)]TJ 0 -11.955 Td [(call)-525(psb_cdall\050icontxt,)-525(desc_a,)-525(info,nl=nl\051)]TJ 0 -11.956 Td [(call)-525(psb_cdall\050icontxt,)-525(desc_a,)-525(info,mg=mg,repl=.true.\051)]TJ/F57 9.9626 Tf 14.944 -19.771 Td [(This)-377(subr)18(outine)-378(initializes)-377(the)-378(communication)-377(descriptor)-378(associated)-377(with)]TJ -14.944 -11.956 Td 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0 G -/F54 9.9626 Tf 16.06 0 Td [(Data)-250(allocation:)-310(each)-250(index)]TJ/F52 9.9626 Tf 121.707 0 Td [(i)]TJ/F83 10.3811 Tf 5.856 0 Td [(2)-290(f)]TJ/F54 9.9626 Tf 15.245 0 Td [(1)-179(.)-192(.)-191(.)]TJ/F52 9.9626 Tf 19.967 0 Td [(m)-47(g)]TJ/F83 10.3811 Tf 13.449 0 Td [(g)]TJ/F54 9.9626 Tf 7.806 0 Td [(is)-250(allocated)-250(to)-250(pr)18(ocess)]TJ/F52 9.9626 Tf 98.454 0 Td [(v)-47(g)]TJ/F85 10.3811 Tf 10.68 0 Td [(\050)]TJ/F52 9.9626 Tf 4.204 0 Td [(i)]TJ/F85 10.3811 Tf 3.089 0 Td [(\051)]TJ/F54 9.9626 Tf 4.149 0 Td [(.)]TJ -295.759 -11.956 Td [(Scope:)]TJ/F51 9.9626 Tf 28.343 0 Td [(global)]TJ/F54 9.9626 Tf 28.782 0 Td [(.)]TJ -57.125 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 23.999 0 Td [(optional)]TJ/F54 9.9626 Tf 38.187 0 Td [(.)]TJ -62.186 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(array)111(.)]TJ +/F57 9.9626 Tf 16.06 0 Td [(Data)-250(allocation:)-310(each)-250(index)]TJ/F55 9.9626 Tf 121.707 0 Td [(i)]TJ/F86 10.3811 Tf 5.856 0 Td [(2)-290(f)]TJ/F57 9.9626 Tf 15.245 0 Td [(1)-179(.)-192(.)-191(.)]TJ/F55 9.9626 Tf 19.967 0 Td [(m)-47(g)]TJ/F86 10.3811 Tf 13.449 0 Td [(g)]TJ/F57 9.9626 Tf 7.806 0 Td [(is)-250(allocated)-250(to)-250(pr)18(ocess)]TJ/F55 9.9626 Tf 98.454 0 Td [(v)-47(g)]TJ/F88 10.3811 Tf 10.68 0 Td [(\050)]TJ/F55 9.9626 Tf 4.204 0 Td [(i)]TJ/F88 10.3811 Tf 3.089 0 Td [(\051)]TJ/F57 9.9626 Tf 4.149 0 Td [(.)]TJ -295.759 -11.956 Td [(Scope:)]TJ/F54 9.9626 Tf 28.343 0 Td [(global)]TJ/F57 9.9626 Tf 28.782 0 Td [(.)]TJ -57.125 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 23.999 0 Td [(optional)]TJ/F57 9.9626 Tf 38.187 0 Td [(.)]TJ -62.186 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(array)111(.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.907 -19.067 Td [(\003ag)]TJ +/F54 9.9626 Tf -24.907 -19.067 Td 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[(1)-397(:)]TJ/F55 9.9626 Tf 15.505 0 Td [(n)-25(l)]TJ/F88 10.3811 Tf 9.105 0 Td [(\051)]TJ/F57 9.9626 Tf 7.214 0 Td [(to)-308(be)-307(assigned)-308(to)-307(the)]TJ -226.548 -11.955 Td [(global)-250(indices)]TJ/F55 9.9626 Tf 63.476 0 Td [(v)-25(l)]TJ/F57 9.9626 Tf 8.423 0 Td [(.)]TJ -71.899 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 28.343 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ -49.922 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 24 0 Td [(optional)]TJ/F57 9.9626 Tf 38.186 0 Td [(.)]TJ -62.186 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.956 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(array)111(.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.907 -22.127 Td [(On)-250(Return)]TJ +/F54 9.9626 Tf -24.907 -22.127 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -20.135 Td [(desc)]TJ @@ -16245,44 +16245,44 @@ q []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 123.397 376.313 Td [(a)]TJ +/F54 9.9626 Tf 123.397 376.313 Td [(a)]TJ 0 g 0 G -/F54 9.9626 Tf 9.963 0 Td [(the)-250(communication)-250(descriptor)74(.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 28.343 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -49.922 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 24 0 Td [(required)]TJ/F54 9.9626 Tf 39.292 0 Td [(.)]TJ -63.292 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.956 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ +/F57 9.9626 Tf 9.963 0 Td [(the)-250(communication)-250(descriptor)74(.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 28.343 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ -49.922 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 24 0 Td [(required)]TJ/F57 9.9626 Tf 39.292 0 Td [(.)]TJ -63.292 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(out)]TJ/F57 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.956 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 168.138 0 Td [(psb)]TJ +/F62 9.9626 Tf 168.138 0 Td [(psb)]TJ ET q 1 0 0 1 309.258 328.692 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 312.397 328.492 Td [(desc)]TJ +/F62 9.9626 Tf 312.397 328.492 Td [(desc)]TJ ET q 1 0 0 1 333.945 328.692 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 337.084 328.492 Td [(type)]TJ +/F62 9.9626 Tf 337.084 328.492 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf 20.921 0 Td [(.)]TJ +/F57 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -258.11 -20.135 Td [(info)]TJ +/F54 9.9626 Tf -258.11 -20.135 Td [(info)]TJ 0 g 0 G -/F54 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ/F51 11.9552 Tf -24.907 -22.128 Td [(Notes)]TJ +/F57 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(out)]TJ/F57 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ/F54 11.9552 Tf -24.907 -22.128 Td [(Notes)]TJ 0 g 0 G -/F54 9.9626 Tf 12.454 -20.082 Td [(1.)]TJ +/F57 9.9626 Tf 12.454 -20.082 Td [(1.)]TJ 0 g 0 G - [-500(One)-309(of)-310(the)-309(optional)-310(ar)18(guments)]TJ/F59 9.9626 Tf 152.661 0 Td [(parts)]TJ/F54 9.9626 Tf 26.152 0 Td [(,)]TJ/F59 9.9626 Tf 5.723 0 Td [(vg)]TJ/F54 9.9626 Tf 10.46 0 Td [(,)]TJ/F59 9.9626 Tf 5.723 0 Td [(vl)]TJ/F54 9.9626 Tf 10.46 0 Td [(,)]TJ/F59 9.9626 Tf 5.723 0 Td [(nl)]TJ/F54 9.9626 Tf 13.544 0 Td [(or)]TJ/F59 9.9626 Tf 12.458 0 Td [(repl)]TJ/F54 9.9626 Tf 24.005 0 Td [(must)-310(be)-309(speci-)]TJ -254.456 -11.956 Td [(\002ed,)-250(ther)18(eby)-250(choosing)-250(the)-250(initialization)-250(strategy)-250(as)-250(follows:)]TJ + [-500(One)-309(of)-310(the)-309(optional)-310(ar)18(guments)]TJ/F62 9.9626 Tf 152.661 0 Td [(parts)]TJ/F57 9.9626 Tf 26.152 0 Td [(,)]TJ/F62 9.9626 Tf 5.723 0 Td [(vg)]TJ/F57 9.9626 Tf 10.46 0 Td [(,)]TJ/F62 9.9626 Tf 5.723 0 Td [(vl)]TJ/F57 9.9626 Tf 10.46 0 Td [(,)]TJ/F62 9.9626 Tf 5.723 0 Td [(nl)]TJ/F57 9.9626 Tf 13.544 0 Td [(or)]TJ/F62 9.9626 Tf 12.458 0 Td [(repl)]TJ/F57 9.9626 Tf 24.005 0 Td [(must)-310(be)-309(speci-)]TJ -254.456 -11.956 Td [(\002ed,)-250(ther)18(eby)-250(choosing)-250(the)-250(initialization)-250(strategy)-250(as)-250(follows:)]TJ 0 g 0 G -/F51 9.9626 Tf 0 -20.135 Td [(parts)]TJ +/F54 9.9626 Tf 0 -20.135 Td [(parts)]TJ 0 g 0 G -/F54 9.9626 Tf 27.666 0 Td [(In)-242(this)-242(case)-242(we)-243(have)-242(a)-242(subr)18(outine)-242(specifying)-242(the)-242(mapping)-242(between)]TJ -5.748 -11.955 Td [(global)-312(indices)-312(and)-311(pr)18(ocess/local)-312(index)-312(pairs.)-496(If)-311(this)-312(optional)-312(ar)18(gu-)]TJ 0 -11.955 Td [(ment)-230(is)-230(speci\002ed,)-234(then)-230(it)-230(is)-230(mandatory)-230(to)-230(specify)-230(the)-230(ar)18(gument)]TJ/F59 9.9626 Tf 274.929 0 Td [(mg)]TJ/F54 9.9626 Tf 12.752 0 Td [(as)]TJ -287.681 -11.955 Td [(well.)-310(The)-250(subr)18(outine)-250(must)-250(conform)-250(to)-250(the)-250(following)-250(interface:)]TJ +/F57 9.9626 Tf 27.666 0 Td [(In)-242(this)-242(case)-242(we)-243(have)-242(a)-242(subr)18(outine)-242(specifying)-242(the)-242(mapping)-242(between)]TJ -5.748 -11.955 Td [(global)-312(indices)-312(and)-311(pr)18(ocess/local)-312(index)-312(pairs.)-496(If)-311(this)-312(optional)-312(ar)18(gu-)]TJ 0 -11.955 Td [(ment)-230(is)-230(speci\002ed,)-234(then)-230(it)-230(is)-230(mandatory)-230(to)-230(specify)-230(the)-230(ar)18(gument)]TJ/F62 9.9626 Tf 274.929 0 Td [(mg)]TJ/F57 9.9626 Tf 12.752 0 Td [(as)]TJ -287.681 -11.955 Td [(well.)-310(The)-250(subr)18(outine)-250(must)-250(conform)-250(to)-250(the)-250(following)-250(interface:)]TJ 0 g 0 G 0 g 0 G -/F59 9.9626 Tf 10.46 -18.09 Td [(interface)]TJ 15.691 -11.955 Td [(subroutine)-525(psb_parts\050glob_index,mg,np,pv,nv\051)]TJ +/F62 9.9626 Tf 10.46 -18.09 Td [(interface)]TJ 15.691 -11.955 Td [(subroutine)-525(psb_parts\050glob_index,mg,np,pv,nv\051)]TJ 0 g 0 G -/F54 9.9626 Tf 93.899 -29.888 Td [(71)]TJ +/F57 9.9626 Tf 93.899 -29.888 Td [(71)]TJ 0 g 0 G ET @@ -16296,58 +16296,58 @@ stream 0 g 0 G 0 g 0 G BT -/F59 9.9626 Tf 234.142 706.129 Td [(integer,)-525(intent)-525(\050in\051)-1050(::)-525(glob_index,np,mg)]TJ 0 -11.955 Td [(integer,)-525(intent)-525(\050out\051)-525(::)-525(nv,)-525(pv\050*\051)]TJ -10.461 -11.955 Td [(end)-525(subroutine)-525(psb_parts)]TJ -15.691 -11.956 Td [(end)-525(interface)]TJ/F54 9.9626 Tf -10.461 -17.586 Td [(The)-250(input)-250(ar)18(guments)-250(ar)18(e:)]TJ +/F62 9.9626 Tf 234.142 706.129 Td [(integer,)-525(intent)-525(\050in\051)-1050(::)-525(glob_index,np,mg)]TJ 0 -11.955 Td [(integer,)-525(intent)-525(\050out\051)-525(::)-525(nv,)-525(pv\050*\051)]TJ -10.461 -11.955 Td [(end)-525(subroutine)-525(psb_parts)]TJ -15.691 -11.956 Td [(end)-525(interface)]TJ/F57 9.9626 Tf -10.461 -17.586 Td [(The)-250(input)-250(ar)18(guments)-250(ar)18(e:)]TJ 0 g 0 G -/F51 9.9626 Tf 0 -15.594 Td [(glob)]TJ +/F54 9.9626 Tf 0 -15.594 Td [(glob)]TJ ET q 1 0 0 1 218.61 637.283 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 221.599 637.083 Td [(index)]TJ +/F54 9.9626 Tf 221.599 637.083 Td [(index)]TJ 0 g 0 G -/F54 9.9626 Tf 30.436 0 Td [(The)-250(global)-250(index)-250(to)-250(be)-250(mapped;)]TJ +/F57 9.9626 Tf 30.436 0 Td [(The)-250(global)-250(index)-250(to)-250(be)-250(mapped;)]TJ 0 g 0 G -/F51 9.9626 Tf -54.506 -13.774 Td [(np)]TJ +/F54 9.9626 Tf -54.506 -13.774 Td [(np)]TJ 0 g 0 G -/F54 9.9626 Tf 17.156 0 Td [(The)-250(number)-250(of)-250(pr)18(ocesses)-250(in)-250(the)-250(mapping;)]TJ +/F57 9.9626 Tf 17.156 0 Td [(The)-250(number)-250(of)-250(pr)18(ocesses)-250(in)-250(the)-250(mapping;)]TJ 0 g 0 G -/F51 9.9626 Tf -17.156 -13.774 Td [(mg)]TJ +/F54 9.9626 Tf -17.156 -13.774 Td [(mg)]TJ 0 g 0 G -/F54 9.9626 Tf 19.377 0 Td [(The)-250(total)-250(number)-250(of)-250(global)-250(r)18(ows)-250(in)-250(the)-250(mapping;)]TJ -19.377 -15.594 Td [(The)-250(output)-250(ar)18(guments)-250(ar)18(e:)]TJ +/F57 9.9626 Tf 19.377 0 Td [(The)-250(total)-250(number)-250(of)-250(global)-250(r)18(ows)-250(in)-250(the)-250(mapping;)]TJ -19.377 -15.594 Td [(The)-250(output)-250(ar)18(guments)-250(ar)18(e:)]TJ 0 g 0 G -/F51 9.9626 Tf 0 -15.594 Td [(nv)]TJ +/F54 9.9626 Tf 0 -15.594 Td [(nv)]TJ 0 g 0 G -/F54 9.9626 Tf 16.608 0 Td [(The)-250(number)-250(of)-250(entries)-250(in)]TJ/F59 9.9626 Tf 111.052 0 Td [(pv)]TJ/F54 9.9626 Tf 10.461 0 Td [(;)]TJ +/F57 9.9626 Tf 16.608 0 Td [(The)-250(number)-250(of)-250(entries)-250(in)]TJ/F62 9.9626 Tf 111.052 0 Td [(pv)]TJ/F57 9.9626 Tf 10.461 0 Td [(;)]TJ 0 g 0 G -/F51 9.9626 Tf -138.121 -13.774 Td [(pv)]TJ +/F54 9.9626 Tf -138.121 -13.774 Td [(pv)]TJ 0 g 0 G -/F54 9.9626 Tf 16.608 0 Td [(A)-393(vector)-394(containing)-393(the)-394(indices)-393(of)-394(the)-394(pr)18(ocesses)-393(to)-394(which)-393(the)]TJ 2.022 -11.955 Td [(global)-357(index)-357(should)-356(be)-357(assigend;)-410(each)-357(entry)-357(must)-357(satisfy)-357(0)]TJ/F83 10.3811 Tf 270.063 0 Td [(\024)]TJ/F52 9.9626 Tf -269.39 -11.956 Td [(p)-25(v)]TJ/F85 10.3811 Tf 10.461 0 Td [(\050)]TJ/F52 9.9626 Tf 4.204 0 Td [(i)]TJ/F85 10.3811 Tf 3.088 0 Td [(\051)]TJ/F61 10.3811 Tf 8.665 0 Td [(<)]TJ/F52 9.9626 Tf 12.71 0 Td [(n)-80(p)]TJ/F54 9.9626 Tf 11.442 0 Td [(;)-382(if)]TJ/F52 9.9626 Tf 16.006 0 Td [(n)-25(v)]TJ/F61 10.3811 Tf 15.409 0 Td [(>)]TJ/F54 9.9626 Tf 12.586 0 Td [(1)-338(we)-338(have)-338(an)-338(index)-338(assigned)-338(to)-338(multiple)]TJ -95.244 -11.955 Td [(pr)18(ocesses,)-250(i.e.)-310(we)-250(have)-250(an)-250(overlap)-250(among)-250(the)-250(subdomains.)]TJ +/F57 9.9626 Tf 16.608 0 Td [(A)-393(vector)-394(containing)-393(the)-394(indices)-393(of)-394(the)-394(pr)18(ocesses)-393(to)-394(which)-393(the)]TJ 2.022 -11.955 Td [(global)-357(index)-357(should)-356(be)-357(assigend;)-410(each)-357(entry)-357(must)-357(satisfy)-357(0)]TJ/F86 10.3811 Tf 270.063 0 Td [(\024)]TJ/F55 9.9626 Tf -269.39 -11.956 Td [(p)-25(v)]TJ/F88 10.3811 Tf 10.461 0 Td [(\050)]TJ/F55 9.9626 Tf 4.204 0 Td [(i)]TJ/F88 10.3811 Tf 3.088 0 Td [(\051)]TJ/F64 10.3811 Tf 8.665 0 Td [(<)]TJ/F55 9.9626 Tf 12.71 0 Td [(n)-80(p)]TJ/F57 9.9626 Tf 11.442 0 Td [(;)-382(if)]TJ/F55 9.9626 Tf 16.006 0 Td [(n)-25(v)]TJ/F64 10.3811 Tf 15.409 0 Td [(>)]TJ/F57 9.9626 Tf 12.586 0 Td [(1)-338(we)-338(have)-338(an)-338(index)-338(assigned)-338(to)-338(multiple)]TJ -95.244 -11.955 Td [(pr)18(ocesses,)-250(i.e.)-310(we)-250(have)-250(an)-250(overlap)-250(among)-250(the)-250(subdomains.)]TJ 0 g 0 G -/F51 9.9626 Tf -40.548 -15.594 Td [(vg)]TJ +/F54 9.9626 Tf -40.548 -15.594 Td [(vg)]TJ 0 g 0 G -/F54 9.9626 Tf 16.06 0 Td [(In)-330(this)-330(case)-330(the)-330(association)-330(between)-331(an)-330(index)-330(and)-330(a)-330(pr)18(ocess)-330(is)-330(spec-)]TJ 5.858 -11.955 Td [(i\002ed)-371(via)-372(an)-371(integer)-372(vector)]TJ/F59 9.9626 Tf 120.986 0 Td [(vg\0501:mg\051)]TJ/F54 9.9626 Tf 41.842 0 Td [(;)-432(each)-372(index)]TJ/F52 9.9626 Tf 58.923 0 Td [(i)]TJ/F83 10.3811 Tf 8.096 0 Td [(2)-506(f)]TJ/F54 9.9626 Tf 17.485 0 Td [(1)-179(.)-192(.)-192(.)]TJ/F52 9.9626 Tf 19.967 0 Td [(m)-47(g)]TJ/F83 10.3811 Tf 13.449 0 Td [(g)]TJ/F54 9.9626 Tf 9.016 0 Td [(is)]TJ -289.764 -11.955 Td [(assigned)-381(to)-381(pr)18(ocess)]TJ/F52 9.9626 Tf 91.547 0 Td [(v)-47(g)]TJ/F85 10.3811 Tf 10.68 0 Td [(\050)]TJ/F52 9.9626 Tf 4.204 0 Td [(i)]TJ/F85 10.3811 Tf 3.089 0 Td [(\051)]TJ/F54 9.9626 Tf 4.149 0 Td [(.)-703(The)-380(vector)]TJ/F59 9.9626 Tf 61.203 0 Td [(vg)]TJ/F54 9.9626 Tf 14.255 0 Td [(must)-381(be)-381(identical)-381(on)-380(all)]TJ -189.127 -11.955 Td [(calling)-354(pr)18(ocesses;)-406(its)-355(entri)1(es)-355(may)-354(have)-354(the)-354(ranges)]TJ/F85 10.3811 Tf 226.209 0 Td [(\050)]TJ/F54 9.9626 Tf 4.149 0 Td [(0)-179(.)-192(.)-191(.)]TJ/F52 9.9626 Tf 19.967 0 Td [(n)-80(p)]TJ/F83 10.3811 Tf 13.888 0 Td [(\000)]TJ/F54 9.9626 Tf 10.515 0 Td [(1)]TJ/F85 10.3811 Tf 5.106 0 Td [(\051)]TJ/F54 9.9626 Tf 7.678 0 Td [(or)]TJ/F85 10.3811 Tf -287.387 -11.955 Td [(\050)]TJ/F54 9.9626 Tf 4.149 0 Td [(1)-179(.)-192(.)-191(.)]TJ/F52 9.9626 Tf 19.967 0 Td [(n)-80(p)]TJ/F85 10.3811 Tf 11.566 0 Td [(\051)]TJ/F54 9.9626 Tf 6.984 0 Td [(accor)18(ding)-284(to)-285(the)-284(value)-285(of)]TJ/F59 9.9626 Tf 113.068 0 Td [(flag)]TJ/F54 9.9626 Tf 20.922 0 Td [(.)-413(The)-285(size)]TJ/F52 9.9626 Tf 45.955 0 Td [(m)-47(g)]TJ/F54 9.9626 Tf 16.159 0 Td [(may)-285(be)-284(spec-)]TJ -238.895 -11.955 Td [(i\002ed)-349(via)-349(the)-349(optional)-349(ar)18(gument)]TJ/F59 9.9626 Tf 144.092 0 Td [(mg)]TJ/F54 9.9626 Tf 10.46 0 Td [(;)-399(the)-349(default)-349(is)-349(to)-349(use)-349(the)-349(entir)18(e)]TJ -154.552 -11.956 Td [(vector)]TJ/F59 9.9626 Tf 29.937 0 Td [(vg)]TJ/F54 9.9626 Tf 10.461 0 Td [(,)-250(thus)-250(having)]TJ/F59 9.9626 Tf 59.885 0 Td [(mg=size\050vg\051)]TJ/F54 9.9626 Tf 57.534 0 Td [(.)]TJ +/F57 9.9626 Tf 16.06 0 Td [(In)-330(this)-330(case)-330(the)-330(association)-330(between)-331(an)-330(index)-330(and)-330(a)-330(pr)18(ocess)-330(is)-330(spec-)]TJ 5.858 -11.955 Td [(i\002ed)-371(via)-372(an)-371(integer)-372(vector)]TJ/F62 9.9626 Tf 120.986 0 Td [(vg\0501:mg\051)]TJ/F57 9.9626 Tf 41.842 0 Td [(;)-432(each)-372(index)]TJ/F55 9.9626 Tf 58.923 0 Td [(i)]TJ/F86 10.3811 Tf 8.096 0 Td [(2)-506(f)]TJ/F57 9.9626 Tf 17.485 0 Td [(1)-179(.)-192(.)-192(.)]TJ/F55 9.9626 Tf 19.967 0 Td [(m)-47(g)]TJ/F86 10.3811 Tf 13.449 0 Td [(g)]TJ/F57 9.9626 Tf 9.016 0 Td [(is)]TJ -289.764 -11.955 Td [(assigned)-381(to)-381(pr)18(ocess)]TJ/F55 9.9626 Tf 91.547 0 Td [(v)-47(g)]TJ/F88 10.3811 Tf 10.68 0 Td [(\050)]TJ/F55 9.9626 Tf 4.204 0 Td [(i)]TJ/F88 10.3811 Tf 3.089 0 Td [(\051)]TJ/F57 9.9626 Tf 4.149 0 Td [(.)-703(The)-380(vector)]TJ/F62 9.9626 Tf 61.203 0 Td [(vg)]TJ/F57 9.9626 Tf 14.255 0 Td [(must)-381(be)-381(identical)-381(on)-380(all)]TJ -189.127 -11.955 Td [(calling)-354(pr)18(ocesses;)-406(its)-355(entri)1(es)-355(may)-354(have)-354(the)-354(ranges)]TJ/F88 10.3811 Tf 226.209 0 Td [(\050)]TJ/F57 9.9626 Tf 4.149 0 Td [(0)-179(.)-192(.)-191(.)]TJ/F55 9.9626 Tf 19.967 0 Td [(n)-80(p)]TJ/F86 10.3811 Tf 13.888 0 Td [(\000)]TJ/F57 9.9626 Tf 10.515 0 Td [(1)]TJ/F88 10.3811 Tf 5.106 0 Td [(\051)]TJ/F57 9.9626 Tf 7.678 0 Td [(or)]TJ/F88 10.3811 Tf -287.387 -11.955 Td [(\050)]TJ/F57 9.9626 Tf 4.149 0 Td [(1)-179(.)-192(.)-191(.)]TJ/F55 9.9626 Tf 19.967 0 Td [(n)-80(p)]TJ/F88 10.3811 Tf 11.566 0 Td [(\051)]TJ/F57 9.9626 Tf 6.984 0 Td [(accor)18(ding)-284(to)-285(the)-284(value)-285(of)]TJ/F62 9.9626 Tf 113.068 0 Td [(flag)]TJ/F57 9.9626 Tf 20.922 0 Td [(.)-413(The)-285(size)]TJ/F55 9.9626 Tf 45.955 0 Td [(m)-47(g)]TJ/F57 9.9626 Tf 16.159 0 Td [(may)-285(be)-284(spec-)]TJ -238.895 -11.955 Td [(i\002ed)-349(via)-349(the)-349(optional)-349(ar)18(gument)]TJ/F62 9.9626 Tf 144.092 0 Td [(mg)]TJ/F57 9.9626 Tf 10.46 0 Td [(;)-399(the)-349(default)-349(is)-349(to)-349(use)-349(the)-349(entir)18(e)]TJ -154.552 -11.956 Td [(vector)]TJ/F62 9.9626 Tf 29.937 0 Td [(vg)]TJ/F57 9.9626 Tf 10.461 0 Td [(,)-250(thus)-250(having)]TJ/F62 9.9626 Tf 59.885 0 Td [(mg=size\050vg\051)]TJ/F57 9.9626 Tf 57.534 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -179.735 -15.593 Td [(vl)]TJ +/F54 9.9626 Tf -179.735 -15.593 Td [(vl)]TJ 0 g 0 G -/F54 9.9626 Tf 13.838 0 Td [(In)-383(this)-382(case)-383(we)-383(ar)18(e)-382(specifying)-383(the)-383(list)-382(of)-383(indices)]TJ/F59 9.9626 Tf 220.787 0 Td [(vl\0501:nl\051)]TJ/F54 9.9626 Tf 45.655 0 Td [(assigned)]TJ -258.362 -11.955 Td [(to)-401(the)-400(curr)18(ent)-401(pr)18(ocess;)-476(thus,)-438(the)-400(global)-401(pr)18(oblem)-400(size)]TJ/F52 9.9626 Tf 243.82 0 Td [(m)-47(g)]TJ/F54 9.9626 Tf 17.316 0 Td [(is)-401(given)]TJ -261.136 -11.956 Td [(by)-435(the)-435(range)-435(of)-435(the)-435(aggr)18(egate)-435(of)-435(the)-435(individual)-435(vectors)]TJ/F59 9.9626 Tf 259.368 0 Td [(vl)]TJ/F54 9.9626 Tf 14.794 0 Td [(spec-)]TJ -274.162 -11.955 Td [(i\002ed)-429(in)-429(the)-429(calling)-428(pr)18(ocesses.)-847(The)-429(size)-429(may)-429(be)-428(speci\002ed)-429(via)-429(the)]TJ 0 -11.955 Td [(optional)-438(ar)18(gument)]TJ/F59 9.9626 Tf 88.319 0 Td [(nl)]TJ/F54 9.9626 Tf 10.46 0 Td [(;)-532(the)-438(default)-438(is)-438(to)-438(use)-438(the)-438(entir)18(e)-438(vector)]TJ/F59 9.9626 Tf 185.156 0 Td [(vl)]TJ/F54 9.9626 Tf 10.461 0 Td [(,)]TJ -294.396 -11.955 Td [(thus)-364(having)]TJ/F59 9.9626 Tf 57.178 0 Td [(nl=size\050vl\051)]TJ/F54 9.9626 Tf 57.534 0 Td [(.)-652(If)]TJ/F59 9.9626 Tf 19.294 0 Td [(globalcheck=.true.)]TJ/F54 9.9626 Tf 97.774 0 Td [(the)-364(subr)18(outine)]TJ -231.78 -11.955 Td [(will)-403(check)-403(how)-404(many)-403(times)-403(each)-403(entry)-403(in)-404(the)-403(global)-403(index)-403(space)]TJ/F85 10.3811 Tf 0.125 -11.955 Td [(\050)]TJ/F54 9.9626 Tf 4.149 0 Td [(1)-179(.)-192(.)-191(.)]TJ/F52 9.9626 Tf 19.967 0 Td [(m)-47(g)]TJ/F85 10.3811 Tf 13.449 0 Td [(\051)]TJ/F54 9.9626 Tf 6.245 0 Td [(is)-210(speci\002ed)-211(in)-210(the)-210(input)-210(lists)]TJ/F59 9.9626 Tf 122.836 0 Td [(vl)]TJ/F54 9.9626 Tf 10.461 0 Td [(,)-218(thus)-211(allowin)1(g)-211(for)-210(the)-210(pr)18(es-)]TJ -177.232 -11.956 Td [(ence)-302(of)-302(overlap)-302(in)-302(the)-302(input,)-315(and)-302(checki)1(ng)-302(for)-302(\223orphan\224)-302(indices.)-466(If)]TJ/F59 9.9626 Tf 0 -11.955 Td [(globalcheck=.false.)]TJ/F54 9.9626 Tf 99.377 0 Td [(,)-437(the)-400(subr)18(outine)-400(will)-400(not)-400(check)-400(for)-400(overlap,)]TJ -99.377 -11.955 Td [(and)-255(may)-255(be)-255(signi\002cantly)-255(faster)74(,)-257(but)-255(the)-255(user)-255(is)-255(implicitly)-255(guarantee-)]TJ 0 -11.955 Td [(ing)-250(that)-250(ther)18(e)-250(ar)18(e)-250(neither)-250(orphan)-250(nor)-250(overlap)-250(indices.)]TJ +/F57 9.9626 Tf 13.838 0 Td [(In)-383(this)-382(case)-383(we)-383(ar)18(e)-382(specifying)-383(the)-383(list)-382(of)-383(indices)]TJ/F62 9.9626 Tf 220.787 0 Td [(vl\0501:nl\051)]TJ/F57 9.9626 Tf 45.655 0 Td [(assigned)]TJ -258.362 -11.955 Td [(to)-401(the)-400(curr)18(ent)-401(pr)18(ocess;)-476(thus,)-438(the)-400(global)-401(pr)18(oblem)-400(size)]TJ/F55 9.9626 Tf 243.82 0 Td [(m)-47(g)]TJ/F57 9.9626 Tf 17.316 0 Td [(is)-401(given)]TJ -261.136 -11.956 Td [(by)-435(the)-435(range)-435(of)-435(the)-435(aggr)18(egate)-435(of)-435(the)-435(individual)-435(vectors)]TJ/F62 9.9626 Tf 259.368 0 Td [(vl)]TJ/F57 9.9626 Tf 14.794 0 Td [(spec-)]TJ -274.162 -11.955 Td [(i\002ed)-429(in)-429(the)-429(calling)-428(pr)18(ocesses.)-847(The)-429(size)-429(may)-429(be)-428(speci\002ed)-429(via)-429(the)]TJ 0 -11.955 Td [(optional)-438(ar)18(gument)]TJ/F62 9.9626 Tf 88.319 0 Td [(nl)]TJ/F57 9.9626 Tf 10.46 0 Td [(;)-532(the)-438(default)-438(is)-438(to)-438(use)-438(the)-438(entir)18(e)-438(vector)]TJ/F62 9.9626 Tf 185.156 0 Td [(vl)]TJ/F57 9.9626 Tf 10.461 0 Td [(,)]TJ -294.396 -11.955 Td [(thus)-364(having)]TJ/F62 9.9626 Tf 57.178 0 Td [(nl=size\050vl\051)]TJ/F57 9.9626 Tf 57.534 0 Td [(.)-652(If)]TJ/F62 9.9626 Tf 19.294 0 Td [(globalcheck=.true.)]TJ/F57 9.9626 Tf 97.774 0 Td [(the)-364(subr)18(outine)]TJ -231.78 -11.955 Td [(will)-403(check)-403(how)-404(many)-403(times)-403(each)-403(entry)-403(in)-404(the)-403(global)-403(index)-403(space)]TJ/F88 10.3811 Tf 0.125 -11.955 Td [(\050)]TJ/F57 9.9626 Tf 4.149 0 Td [(1)-179(.)-192(.)-191(.)]TJ/F55 9.9626 Tf 19.967 0 Td [(m)-47(g)]TJ/F88 10.3811 Tf 13.449 0 Td [(\051)]TJ/F57 9.9626 Tf 6.245 0 Td [(is)-210(speci\002ed)-211(in)-210(the)-210(input)-210(lists)]TJ/F62 9.9626 Tf 122.836 0 Td [(vl)]TJ/F57 9.9626 Tf 10.461 0 Td [(,)-218(thus)-211(allowin)1(g)-211(for)-210(the)-210(pr)18(es-)]TJ -177.232 -11.956 Td [(ence)-302(of)-302(overlap)-302(in)-302(the)-302(input,)-315(and)-302(checki)1(ng)-302(for)-302(\223orphan\224)-302(indices.)-466(If)]TJ/F62 9.9626 Tf 0 -11.955 Td [(globalcheck=.false.)]TJ/F57 9.9626 Tf 99.377 0 Td [(,)-437(the)-400(subr)18(outine)-400(will)-400(not)-400(check)-400(for)-400(overlap,)]TJ -99.377 -11.955 Td [(and)-255(may)-255(be)-255(signi\002cantly)-255(faster)74(,)-257(but)-255(the)-255(user)-255(is)-255(implicitly)-255(guarantee-)]TJ 0 -11.955 Td [(ing)-250(that)-250(ther)18(e)-250(ar)18(e)-250(neither)-250(orphan)-250(nor)-250(overlap)-250(indices.)]TJ 0 g 0 G -/F51 9.9626 Tf -21.918 -15.594 Td [(lidx)]TJ +/F54 9.9626 Tf -21.918 -15.594 Td [(lidx)]TJ 0 g 0 G -/F54 9.9626 Tf 22.685 0 Td [(The)-377(optional)-376(ar)18(gument)]TJ/F59 9.9626 Tf 107.528 0 Td [(lidx)]TJ/F54 9.9626 Tf 24.674 0 Td [(is)-377(available)-376(for)-377(those)-377(cases)-377(in)-376(which)]TJ -132.969 -11.955 Td [(the)-361(user)-361(has)-361(alr)18(eady)-361(established)-361(a)-361(global-to-local)-361(mapping;)-416(if)-361(it)-361(is)]TJ 0 -11.955 Td [(speci\002ed,)-253(each)-253(index)-253(in)]TJ/F59 9.9626 Tf 105.128 0 Td [(vl\050i\051)]TJ/F54 9.9626 Tf 28.669 0 Td [(will)-253(be)-252(mapped)-253(to)-253(the)-252(corr)18(esponding)]TJ -133.797 -11.955 Td [(local)-317(index)]TJ/F59 9.9626 Tf 51.649 0 Td [(lidx\050i\051)]TJ/F54 9.9626 Tf 36.612 0 Td [(.)-510(When)-317(specifying)-316(the)-317(ar)18(gument)]TJ/F59 9.9626 Tf 148.638 0 Td [(lidx)]TJ/F54 9.9626 Tf 24.076 0 Td [(the)-317(user)]TJ -260.975 -11.956 Td [(would)-329(also)-330(likely)-329(employ)]TJ/F59 9.9626 Tf 117.394 0 Td [(lidx)]TJ/F54 9.9626 Tf 24.203 0 Td [(in)-329(calls)-330(to)]TJ/F59 9.9626 Tf 46.656 0 Td [(psb_cdins)]TJ/F54 9.9626 Tf 50.355 0 Td [(and)]TJ/F59 9.9626 Tf 20.148 0 Td [(local)]TJ/F54 9.9626 Tf 29.433 0 Td [(in)]TJ -288.189 -11.955 Td [(calls)-250(to)]TJ/F59 9.9626 Tf 33.095 0 Td [(psb_spins)]TJ/F54 9.9626 Tf 49.564 0 Td [(and)]TJ/F59 9.9626 Tf 19.358 0 Td [(psb_geins)]TJ/F54 9.9626 Tf 47.073 0 Td [(;)-250(see)-250(also)-250(sec.)]TJ +/F57 9.9626 Tf 22.685 0 Td [(The)-377(optional)-376(ar)18(gument)]TJ/F62 9.9626 Tf 107.528 0 Td [(lidx)]TJ/F57 9.9626 Tf 24.674 0 Td [(is)-377(available)-376(for)-377(those)-377(cases)-377(in)-376(which)]TJ -132.969 -11.955 Td [(the)-361(user)-361(has)-361(alr)18(eady)-361(established)-361(a)-361(global-to-local)-361(mapping;)-416(if)-361(it)-361(is)]TJ 0 -11.955 Td [(speci\002ed,)-253(each)-253(index)-253(in)]TJ/F62 9.9626 Tf 105.128 0 Td [(vl\050i\051)]TJ/F57 9.9626 Tf 28.669 0 Td [(will)-253(be)-252(mapped)-253(to)-253(the)-252(corr)18(esponding)]TJ -133.797 -11.955 Td [(local)-317(index)]TJ/F62 9.9626 Tf 51.649 0 Td [(lidx\050i\051)]TJ/F57 9.9626 Tf 36.612 0 Td [(.)-510(When)-317(specifying)-316(the)-317(ar)18(gument)]TJ/F62 9.9626 Tf 148.638 0 Td [(lidx)]TJ/F57 9.9626 Tf 24.076 0 Td [(the)-317(user)]TJ -260.975 -11.956 Td [(would)-329(also)-330(likely)-329(employ)]TJ/F62 9.9626 Tf 117.394 0 Td [(lidx)]TJ/F57 9.9626 Tf 24.203 0 Td [(in)-329(calls)-330(to)]TJ/F62 9.9626 Tf 46.656 0 Td [(psb_cdins)]TJ/F57 9.9626 Tf 50.355 0 Td [(and)]TJ/F62 9.9626 Tf 20.148 0 Td [(local)]TJ/F57 9.9626 Tf 29.433 0 Td [(in)]TJ -288.189 -11.955 Td [(calls)-250(to)]TJ/F62 9.9626 Tf 33.095 0 Td [(psb_spins)]TJ/F57 9.9626 Tf 49.564 0 Td [(and)]TJ/F62 9.9626 Tf 19.358 0 Td [(psb_geins)]TJ/F57 9.9626 Tf 47.073 0 Td [(;)-250(see)-250(also)-250(sec.)]TJ 0 0 1 rg 0 0 1 RG [-250(2.3.1)]TJ 0 g 0 G [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -171.008 -15.593 Td [(nl)]TJ +/F54 9.9626 Tf -171.008 -15.593 Td [(nl)]TJ 0 g 0 G -/F54 9.9626 Tf 14.386 0 Td [(If)-411(this)-411(ar)18(gument)-411(is)-411(speci\002ed)-411(alone)-411(\050i.e.)-793(without)]TJ/F59 9.9626 Tf 223.432 0 Td [(vl)]TJ/F54 9.9626 Tf 10.461 0 Td [(\051)-411(the)-411(r)18(esult)-411(is)-411(a)]TJ -226.361 -11.956 Td [(generalized)-280(r)18(ow-block)-280(distribution)-280(in)-280(which)-281(each)-280(pr)18(ocess)]TJ/F52 9.9626 Tf 257.148 0 Td [(I)]TJ/F54 9.9626 Tf 6.642 0 Td [(gets)-280(as-)]TJ -263.79 -11.955 Td [(signed)-250(a)-250(consecutive)-250(chunk)-250(of)]TJ/F52 9.9626 Tf 135.186 0 Td [(N)]TJ/F52 7.5716 Tf 7.851 -1.808 Td [(I)]TJ/F85 10.3811 Tf 6.316 1.808 Td [(=)]TJ/F52 9.9626 Tf 11.086 0 Td [(n)-25(l)]TJ/F54 9.9626 Tf 11.472 0 Td [(global)-250(indices.)]TJ +/F57 9.9626 Tf 14.386 0 Td [(If)-411(this)-411(ar)18(gument)-411(is)-411(speci\002ed)-411(alone)-411(\050i.e.)-793(without)]TJ/F62 9.9626 Tf 223.432 0 Td [(vl)]TJ/F57 9.9626 Tf 10.461 0 Td [(\051)-411(the)-411(r)18(esult)-411(is)-411(a)]TJ -226.361 -11.956 Td [(generalized)-280(r)18(ow-block)-280(distribution)-280(in)-280(which)-281(each)-280(pr)18(ocess)]TJ/F55 9.9626 Tf 257.148 0 Td [(I)]TJ/F57 9.9626 Tf 6.642 0 Td [(gets)-280(as-)]TJ -263.79 -11.955 Td [(signed)-250(a)-250(consecutive)-250(chunk)-250(of)]TJ/F55 9.9626 Tf 135.186 0 Td [(N)]TJ/F55 7.5716 Tf 7.851 -1.808 Td [(I)]TJ/F88 10.3811 Tf 6.316 1.808 Td [(=)]TJ/F55 9.9626 Tf 11.086 0 Td [(n)-25(l)]TJ/F57 9.9626 Tf 11.472 0 Td [(global)-250(indices.)]TJ 0 g 0 G -/F51 9.9626 Tf -193.829 -15.593 Td [(repl)]TJ +/F54 9.9626 Tf -193.829 -15.593 Td [(repl)]TJ 0 g 0 G -/F54 9.9626 Tf 23.243 0 Td [(This)-418(ar)18(guments)-417(speci\002es)-418(to)-417(r)18(eplicate)-418(all)-417(indices)-418(on)-418(all)-417(pr)18(ocesses.)]TJ -1.325 -11.956 Td [(This)-366(is)-367(a)-366(special)-366(purpose)-366(data)-367(allocation)-366(that)-366(is)-366(useful)-367(in)-366(the)-366(con-)]TJ 0 -11.955 Td [(str)8(uction)-250(of)-250(some)-250(multilevel)-250(pr)18(econditioners.)]TJ +/F57 9.9626 Tf 23.243 0 Td [(This)-418(ar)18(guments)-417(speci\002es)-418(to)-417(r)18(eplicate)-418(all)-417(indices)-418(on)-418(all)-417(pr)18(ocesses.)]TJ -1.325 -11.956 Td [(This)-366(is)-367(a)-366(special)-366(purpose)-366(data)-367(allocation)-366(that)-366(is)-366(useful)-367(in)-366(the)-366(con-)]TJ 0 -11.955 Td [(str)8(uction)-250(of)-250(some)-250(multilevel)-250(pr)18(econditioners.)]TJ 0 g 0 G -34.371 -19.579 Td [(2.)]TJ 0 g 0 G @@ -16368,25 +16368,25 @@ stream 0 g 0 G 0 g 0 G BT -/F54 9.9626 Tf 112.349 706.129 Td [(3.)]TJ +/F57 9.9626 Tf 112.349 706.129 Td [(3.)]TJ 0 g 0 G - [-500(Calling)-260(the)-260(r)18(outine)-260(with)]TJ/F59 9.9626 Tf 120.886 0 Td [(vg)]TJ/F54 9.9626 Tf 13.052 0 Td [(or)]TJ/F59 9.9626 Tf 11.965 0 Td [(parts)]TJ/F54 9.9626 Tf 28.742 0 Td [(implies)-260(that)-260(every)-260(pr)18(ocess)-260(will)-260(scan)]TJ -162.192 -11.955 Td [(the)-250(entir)18(e)-250(index)-250(space)-250(to)-250(\002gur)18(e)-250(out)-250(the)-250(local)-250(indices.)]TJ + [-500(Calling)-260(the)-260(r)18(outine)-260(with)]TJ/F62 9.9626 Tf 120.886 0 Td [(vg)]TJ/F57 9.9626 Tf 13.052 0 Td [(or)]TJ/F62 9.9626 Tf 11.965 0 Td [(parts)]TJ/F57 9.9626 Tf 28.742 0 Td [(implies)-260(that)-260(every)-260(pr)18(ocess)-260(will)-260(scan)]TJ -162.192 -11.955 Td [(the)-250(entir)18(e)-250(index)-250(space)-250(to)-250(\002gur)18(e)-250(out)-250(the)-250(local)-250(indices.)]TJ 0 g 0 G -12.453 -19.926 Td [(4.)]TJ 0 g 0 G - [-500(Overlapped)-250(indices)-250(ar)18(e)-250(possible)-250(with)-250(both)]TJ/F59 9.9626 Tf 201.093 0 Td [(parts)]TJ/F54 9.9626 Tf 28.643 0 Td [(and)]TJ/F59 9.9626 Tf 19.357 0 Td [(vl)]TJ/F54 9.9626 Tf 12.951 0 Td [(invocations.)]TJ + [-500(Overlapped)-250(indices)-250(ar)18(e)-250(possible)-250(with)-250(both)]TJ/F62 9.9626 Tf 201.093 0 Td [(parts)]TJ/F57 9.9626 Tf 28.643 0 Td [(and)]TJ/F62 9.9626 Tf 19.357 0 Td [(vl)]TJ/F57 9.9626 Tf 12.951 0 Td [(invocations.)]TJ 0 g 0 G -262.044 -19.925 Td [(5.)]TJ 0 g 0 G - [-500(When)-190(the)-190(subr)18(outine)-190(is)-190(invoked)-190(with)]TJ/F59 9.9626 Tf 175.161 0 Td [(vl)]TJ/F54 9.9626 Tf 12.354 0 Td [(in)-190(conjunction)-190(with)]TJ/F59 9.9626 Tf 86.235 0 Td [(globalcheck=.true.)]TJ/F54 9.9626 Tf 94.146 0 Td [(,)]TJ -355.443 -11.955 Td [(it)-280(will)-281(perform)-280(a)-280(scan)-281(of)-280(the)-281(index)-280(space)-280(to)-281(sear)18(ch)-280(for)-280(overlap)-281(or)-280(orphan)]TJ 0 -11.955 Td [(indices.)]TJ + [-500(When)-190(the)-190(subr)18(outine)-190(is)-190(invoked)-190(with)]TJ/F62 9.9626 Tf 175.161 0 Td [(vl)]TJ/F57 9.9626 Tf 12.354 0 Td [(in)-190(conjunction)-190(with)]TJ/F62 9.9626 Tf 86.235 0 Td [(globalcheck=.true.)]TJ/F57 9.9626 Tf 94.146 0 Td [(,)]TJ -355.443 -11.955 Td [(it)-280(will)-281(perform)-280(a)-280(scan)-281(of)-280(the)-281(index)-280(space)-280(to)-281(sear)18(ch)-280(for)-280(overlap)-281(or)-280(orphan)]TJ 0 -11.955 Td [(indices.)]TJ 0 g 0 G -12.453 -19.925 Td [(6.)]TJ 0 g 0 G - [-500(When)-190(the)-190(subr)18(outine)-190(is)-190(invoked)-190(with)]TJ/F59 9.9626 Tf 175.161 0 Td [(vl)]TJ/F54 9.9626 Tf 12.354 0 Td [(in)-190(conjunction)-190(with)]TJ/F59 9.9626 Tf 86.235 0 Td [(globalcheck=.false.)]TJ/F54 9.9626 Tf 99.377 0 Td [(,)]TJ -360.674 -11.956 Td [(no)-338(index)-337(space)-338(scan)-337(will)-338(take)-337(place.)-573(Thus)-337(it)-338(is)-338(the)-337(r)18(esponsibility)-338(of)-337(the)]TJ 0 -11.955 Td [(user)-328(to)-328(make)-328(sur)18(e)-328(that)-328(the)-328(indices)-328(speci\002ed)-328(in)]TJ/F59 9.9626 Tf 209.973 0 Td [(vl)]TJ/F54 9.9626 Tf 13.729 0 Td [(have)-328(neither)-328(orphans)]TJ -223.702 -11.955 Td [(nor)-250(overlaps;)-250(if)-250(this)-250(assumption)-250(fails,)-250(r)18(esults)-250(will)-250(be)-250(unpr)18(edictable.)]TJ + [-500(When)-190(the)-190(subr)18(outine)-190(is)-190(invoked)-190(with)]TJ/F62 9.9626 Tf 175.161 0 Td [(vl)]TJ/F57 9.9626 Tf 12.354 0 Td [(in)-190(conjunction)-190(with)]TJ/F62 9.9626 Tf 86.235 0 Td [(globalcheck=.false.)]TJ/F57 9.9626 Tf 99.377 0 Td [(,)]TJ -360.674 -11.956 Td [(no)-338(index)-337(space)-338(scan)-337(will)-338(take)-337(place.)-573(Thus)-337(it)-338(is)-338(the)-337(r)18(esponsibility)-338(of)-337(the)]TJ 0 -11.955 Td [(user)-328(to)-328(make)-328(sur)18(e)-328(that)-328(the)-328(indices)-328(speci\002ed)-328(in)]TJ/F62 9.9626 Tf 209.973 0 Td [(vl)]TJ/F57 9.9626 Tf 13.729 0 Td [(have)-328(neither)-328(orphans)]TJ -223.702 -11.955 Td [(nor)-250(overlaps;)-250(if)-250(this)-250(assumption)-250(fails,)-250(r)18(esults)-250(will)-250(be)-250(unpr)18(edictable.)]TJ 0 g 0 G -12.453 -19.925 Td [(7.)]TJ 0 g 0 G - [-500(Orphan)-417(and)-416(overlap)-417(indices)-416(ar)18(e)-417(impossible)-416(by)-417(constr)8(uction)-417(when)-416(the)]TJ 12.453 -11.955 Td [(subr)18(outine)-250(is)-250(invoked)-250(with)]TJ/F59 9.9626 Tf 121.164 0 Td [(nl)]TJ/F54 9.9626 Tf 12.951 0 Td [(\050alone\051,)-250(or)]TJ/F59 9.9626 Tf 47.372 0 Td [(vg)]TJ/F54 9.9626 Tf 10.461 0 Td [(.)]TJ + [-500(Orphan)-417(and)-416(overlap)-417(indices)-416(ar)18(e)-417(impossible)-416(by)-417(constr)8(uction)-417(when)-416(the)]TJ 12.453 -11.955 Td [(subr)18(outine)-250(is)-250(invoked)-250(with)]TJ/F62 9.9626 Tf 121.164 0 Td [(nl)]TJ/F57 9.9626 Tf 12.951 0 Td [(\050alone\051,)-250(or)]TJ/F62 9.9626 Tf 47.372 0 Td [(vg)]TJ/F57 9.9626 Tf 10.461 0 Td [(.)]TJ 0 g 0 G -49.98 -452.304 Td [(73)]TJ 0 g 0 G @@ -16402,46 +16402,46 @@ stream 0 g 0 G 0 g 0 G BT -/F51 11.9552 Tf 150.705 706.129 Td [(6.2)-1000(psb)]TJ +/F54 11.9552 Tf 150.705 706.129 Td [(6.2)-1000(psb)]TJ ET q 1 0 0 1 198.238 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F51 11.9552 Tf 201.825 706.129 Td [(cdins)-250(\227)-250(Communication)-250(descriptor)-250(insert)-250(routine)]TJ +/F54 11.9552 Tf 201.825 706.129 Td [(cdins)-250(\227)-250(Communication)-250(descriptor)-250(insert)-250(routine)]TJ 0 g 0 G 0 g 0 G -/F59 9.9626 Tf -51.12 -18.964 Td [(call)-525(psb_cdins\050nz,)-525(ia,)-525(ja,)-525(desc_a,)-525(info)-525([,ila,jla]\051)]TJ 0 -11.955 Td [(call)-525(psb_cdins\050nz,ja,desc,info[,jla,mask,lidx]\051)]TJ/F54 9.9626 Tf 14.944 -20.366 Td [(This)-336(subr)18(outine)-335(examines)-336(the)-336(edges)-335(of)-336(the)-336(graph)-335(associated)-336(with)-335(the)-336(dis-)]TJ -14.944 -11.955 Td [(cr)18(etization)-260(mesh)-261(\050and)-260(isomorphic)-260(to)-261(the)-260(sparsity)-260(pattern)-261(of)-260(a)-260(linear)-261(system)-260(co-)]TJ 0 -11.955 Td [(ef)18(\002cient)-238(matrix\051,)-241(storing)-238(them)-239(as)-238(necessary)-238(into)-239(the)-238(communication)-238(descriptor)74(.)]TJ 0 -11.955 Td [(In)-259(the)-260(\002rst)-259(form)-260(the)-259(edges)-259(ar)18(e)-260(speci\002ed)-259(as)-260(pairs)-259(of)-260(indices)]TJ/F52 9.9626 Tf 255.974 0 Td [(i)-47(a)]TJ/F85 10.3811 Tf 7.91 0 Td [(\050)]TJ/F52 9.9626 Tf 4.204 0 Td [(i)]TJ/F85 10.3811 Tf 3.088 0 Td [(\051)]TJ/F54 9.9626 Tf 4.15 0 Td [(,)]TJ/F52 9.9626 Tf 4.624 0 Td [(j)-40(a)]TJ/F85 10.3811 Tf 7.841 0 Td [(\050)]TJ/F52 9.9626 Tf 4.204 0 Td [(i)]TJ/F85 10.3811 Tf 3.088 0 Td [(\051)]TJ/F54 9.9626 Tf 4.15 0 Td [(;)-264(the)-260(start)1(-)]TJ -299.233 -11.956 Td [(ing)-299(index)]TJ/F52 9.9626 Tf 44.948 0 Td [(i)-47(a)]TJ/F85 10.3811 Tf 7.91 0 Td [(\050)]TJ/F52 9.9626 Tf 4.204 0 Td [(i)]TJ/F85 10.3811 Tf 3.088 0 Td [(\051)]TJ/F54 9.9626 Tf 7.13 0 Td [(should)-299(belong)-299(to)-299(the)-299(curr)18(ent)-299(pr)18(ocess.)-458(In)-299(the)-299(second)-299(form)-299(only)]TJ -67.28 -11.955 Td [(the)-250(r)18(emote)-250(indices)]TJ/F52 9.9626 Tf 83.65 0 Td [(j)-40(a)]TJ/F85 10.3811 Tf 7.841 0 Td [(\050)]TJ/F52 9.9626 Tf 4.204 0 Td [(i)]TJ/F85 10.3811 Tf 3.088 0 Td [(\051)]TJ/F54 9.9626 Tf 6.64 0 Td [(ar)18(e)-250(speci\002ed.)]TJ +/F62 9.9626 Tf -51.12 -18.964 Td [(call)-525(psb_cdins\050nz,)-525(ia,)-525(ja,)-525(desc_a,)-525(info)-525([,ila,jla]\051)]TJ 0 -11.955 Td [(call)-525(psb_cdins\050nz,ja,desc,info[,jla,mask,lidx]\051)]TJ/F57 9.9626 Tf 14.944 -20.366 Td [(This)-336(subr)18(outine)-335(examines)-336(the)-336(edges)-335(of)-336(the)-336(graph)-335(associated)-336(with)-335(the)-336(dis-)]TJ -14.944 -11.955 Td [(cr)18(etization)-260(mesh)-261(\050and)-260(isomorphic)-260(to)-261(the)-260(sparsity)-260(pattern)-261(of)-260(a)-260(linear)-261(system)-260(co-)]TJ 0 -11.955 Td [(ef)18(\002cient)-238(matrix\051,)-241(storing)-238(them)-239(as)-238(necessary)-238(into)-239(the)-238(communication)-238(descriptor)74(.)]TJ 0 -11.955 Td [(In)-259(the)-260(\002rst)-259(form)-260(the)-259(edges)-259(ar)18(e)-260(speci\002ed)-259(as)-260(pairs)-259(of)-260(indices)]TJ/F55 9.9626 Tf 255.974 0 Td [(i)-47(a)]TJ/F88 10.3811 Tf 7.91 0 Td [(\050)]TJ/F55 9.9626 Tf 4.204 0 Td [(i)]TJ/F88 10.3811 Tf 3.088 0 Td [(\051)]TJ/F57 9.9626 Tf 4.15 0 Td [(,)]TJ/F55 9.9626 Tf 4.624 0 Td [(j)-40(a)]TJ/F88 10.3811 Tf 7.841 0 Td [(\050)]TJ/F55 9.9626 Tf 4.204 0 Td [(i)]TJ/F88 10.3811 Tf 3.088 0 Td [(\051)]TJ/F57 9.9626 Tf 4.15 0 Td [(;)-264(the)-260(start)1(-)]TJ -299.233 -11.956 Td [(ing)-299(index)]TJ/F55 9.9626 Tf 44.948 0 Td [(i)-47(a)]TJ/F88 10.3811 Tf 7.91 0 Td [(\050)]TJ/F55 9.9626 Tf 4.204 0 Td [(i)]TJ/F88 10.3811 Tf 3.088 0 Td [(\051)]TJ/F57 9.9626 Tf 7.13 0 Td [(should)-299(belong)-299(to)-299(the)-299(curr)18(ent)-299(pr)18(ocess.)-458(In)-299(the)-299(second)-299(form)-299(only)]TJ -67.28 -11.955 Td [(the)-250(r)18(emote)-250(indices)]TJ/F55 9.9626 Tf 83.65 0 Td [(j)-40(a)]TJ/F88 10.3811 Tf 7.841 0 Td [(\050)]TJ/F55 9.9626 Tf 4.204 0 Td [(i)]TJ/F88 10.3811 Tf 3.088 0 Td [(\051)]TJ/F57 9.9626 Tf 6.64 0 Td [(ar)18(e)-250(speci\002ed.)]TJ 0 g 0 G -/F51 9.9626 Tf -105.423 -20.366 Td [(T)90(ype:)]TJ +/F54 9.9626 Tf -105.423 -20.366 Td [(T)90(ype:)]TJ 0 g 0 G -/F54 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ +/F57 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ 0 g 0 G -/F51 9.9626 Tf -29.828 -19.304 Td [(On)-250(Entry)]TJ +/F54 9.9626 Tf -29.828 -19.304 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -19.305 Td [(nz)]TJ 0 g 0 G -/F54 9.9626 Tf 16.05 0 Td [(the)-250(number)-250(of)-250(points)-250(being)-250(inserted.)]TJ 8.857 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.431 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -53.01 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf 39.292 0 Td [(.)]TJ -66.38 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(value.)]TJ +/F57 9.9626 Tf 16.05 0 Td [(the)-250(number)-250(of)-250(points)-250(being)-250(inserted.)]TJ 8.857 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.431 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ -53.01 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf 39.292 0 Td [(.)]TJ -66.38 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(value.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.907 -19.305 Td [(ia)]TJ +/F54 9.9626 Tf -24.907 -19.305 Td [(ia)]TJ 0 g 0 G -/F54 9.9626 Tf 13.28 0 Td [(the)-250(indices)-250(of)-250(the)-250(starting)-250(vertex)-250(of)-250(the)-250(edges)-250(being)-250(inserted.)]TJ 11.627 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.431 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -53.01 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf 39.292 0 Td [(.)]TJ -66.38 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.956 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(array)-250(of)-250(length)]TJ/F52 9.9626 Tf 171.978 0 Td [(n)-25(z)]TJ/F54 9.9626 Tf 10.336 0 Td [(.)]TJ +/F57 9.9626 Tf 13.28 0 Td [(the)-250(indices)-250(of)-250(the)-250(starting)-250(vertex)-250(of)-250(the)-250(edges)-250(being)-250(inserted.)]TJ 11.627 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.431 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ -53.01 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf 39.292 0 Td [(.)]TJ -66.38 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.956 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(array)-250(of)-250(length)]TJ/F55 9.9626 Tf 171.978 0 Td [(n)-25(z)]TJ/F57 9.9626 Tf 10.336 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -207.221 -19.304 Td [(ja)]TJ +/F54 9.9626 Tf -207.221 -19.304 Td [(ja)]TJ 0 g 0 G -/F54 9.9626 Tf 13.28 0 Td [(the)-250(indices)-250(of)-250(the)-250(end)-250(vertex)-250(of)-250(the)-250(edges)-250(being)-250(inserted.)]TJ 11.627 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.431 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -53.01 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf 39.292 0 Td [(.)]TJ -66.38 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(array)-250(of)-250(length)]TJ/F52 9.9626 Tf 171.978 0 Td [(n)-25(z)]TJ/F54 9.9626 Tf 10.336 0 Td [(.)]TJ +/F57 9.9626 Tf 13.28 0 Td [(the)-250(indices)-250(of)-250(the)-250(end)-250(vertex)-250(of)-250(the)-250(edges)-250(being)-250(inserted.)]TJ 11.627 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.431 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ -53.01 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf 39.292 0 Td [(.)]TJ -66.38 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(array)-250(of)-250(length)]TJ/F55 9.9626 Tf 171.978 0 Td [(n)-25(z)]TJ/F57 9.9626 Tf 10.336 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -207.221 -19.304 Td [(mask)]TJ +/F54 9.9626 Tf -207.221 -19.304 Td [(mask)]TJ 0 g 0 G -/F54 9.9626 Tf 29.33 0 Td [(Mask)-247(entries)-248(in)]TJ/F59 9.9626 Tf 69.91 0 Td [(ja)]TJ/F54 9.9626 Tf 10.461 0 Td [(,)-248(they)-247(ar)18(e)-248(inserted)-247(only)-248(when)-247(the)-247(corr)18(esponding)]TJ/F59 9.9626 Tf 213.089 0 Td [(mask)]TJ/F54 9.9626 Tf -297.883 -11.956 Td [(entries)-250(ar)18(e)]TJ/F59 9.9626 Tf 48.139 0 Td [(.true.)]TJ/F54 9.9626 Tf -48.139 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf 21.578 0 Td [(.)]TJ -53.01 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(optional)]TJ/F54 9.9626 Tf 38.186 0 Td [(.)]TJ -65.274 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(logical)-250(array)-250(of)-250(length)]TJ/F52 9.9626 Tf 164.297 0 Td [(n)-25(z)]TJ/F54 9.9626 Tf 10.336 0 Td [(,)-250(default)]TJ/F59 9.9626 Tf 38.784 0 Td [(.true.)]TJ/F54 9.9626 Tf 31.382 0 Td [(.)]TJ +/F57 9.9626 Tf 29.33 0 Td [(Mask)-247(entries)-248(in)]TJ/F62 9.9626 Tf 69.91 0 Td [(ja)]TJ/F57 9.9626 Tf 10.461 0 Td [(,)-248(they)-247(ar)18(e)-248(inserted)-247(only)-248(when)-247(the)-247(corr)18(esponding)]TJ/F62 9.9626 Tf 213.089 0 Td [(mask)]TJ/F57 9.9626 Tf -297.883 -11.956 Td [(entries)-250(ar)18(e)]TJ/F62 9.9626 Tf 48.139 0 Td [(.true.)]TJ/F57 9.9626 Tf -48.139 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf 21.578 0 Td [(.)]TJ -53.01 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(optional)]TJ/F57 9.9626 Tf 38.186 0 Td [(.)]TJ -65.274 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(logical)-250(array)-250(of)-250(length)]TJ/F55 9.9626 Tf 164.297 0 Td [(n)-25(z)]TJ/F57 9.9626 Tf 10.336 0 Td [(,)-250(default)]TJ/F62 9.9626 Tf 38.784 0 Td [(.true.)]TJ/F57 9.9626 Tf 31.382 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -269.706 -19.305 Td [(lidx)]TJ +/F54 9.9626 Tf -269.706 -19.305 Td [(lidx)]TJ 0 g 0 G -/F54 9.9626 Tf 22.685 0 Td [(User)-250(de\002ned)-250(local)-250(indices)-250(for)]TJ/F59 9.9626 Tf 131.117 0 Td [(ja)]TJ/F54 9.9626 Tf 10.46 0 Td [(.)]TJ -139.355 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf 21.578 0 Td [(.)]TJ -53.01 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(optional)]TJ/F54 9.9626 Tf 38.186 0 Td [(.)]TJ -65.274 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(array)-250(of)-250(length)]TJ/F52 9.9626 Tf 171.978 0 Td [(n)-25(z)]TJ/F54 9.9626 Tf 10.336 0 Td [(.)]TJ +/F57 9.9626 Tf 22.685 0 Td [(User)-250(de\002ned)-250(local)-250(indices)-250(for)]TJ/F62 9.9626 Tf 131.117 0 Td [(ja)]TJ/F57 9.9626 Tf 10.46 0 Td [(.)]TJ -139.355 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf 21.578 0 Td [(.)]TJ -53.01 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(optional)]TJ/F57 9.9626 Tf 38.186 0 Td [(.)]TJ -65.274 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(array)-250(of)-250(length)]TJ/F55 9.9626 Tf 171.978 0 Td [(n)-25(z)]TJ/F57 9.9626 Tf 10.336 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -207.221 -20.366 Td [(On)-250(Return)]TJ +/F54 9.9626 Tf -207.221 -20.366 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -19.305 Td [(desc)]TJ @@ -16451,27 +16451,27 @@ q []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 174.207 168.146 Td [(a)]TJ +/F54 9.9626 Tf 174.207 168.146 Td [(a)]TJ 0 g 0 G -/F54 9.9626 Tf 9.962 0 Td [(the)-250(updated)-250(communication)-250(descriptor)74(.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 28.344 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -49.923 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 24 0 Td [(required)]TJ/F54 9.9626 Tf 39.293 0 Td [(.)]TJ -63.293 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(inout)]TJ/F54 9.9626 Tf 24.348 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ +/F57 9.9626 Tf 9.962 0 Td [(the)-250(updated)-250(communication)-250(descriptor)74(.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 28.344 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ -49.923 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 24 0 Td [(required)]TJ/F57 9.9626 Tf 39.293 0 Td [(.)]TJ -63.293 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(inout)]TJ/F57 9.9626 Tf 24.348 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 168.138 0 Td [(psb)]TJ +/F62 9.9626 Tf 168.138 0 Td [(psb)]TJ ET q 1 0 0 1 360.068 120.525 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 363.206 120.326 Td [(desc)]TJ +/F62 9.9626 Tf 363.206 120.326 Td [(desc)]TJ ET q 1 0 0 1 384.755 120.525 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 387.893 120.326 Td [(type)]TJ +/F62 9.9626 Tf 387.893 120.326 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf 20.922 0 Td [(.)]TJ +/F57 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G -91.236 -29.888 Td [(74)]TJ 0 g 0 G @@ -16488,19 +16488,19 @@ stream 0 g 0 G 0 g 0 G BT -/F51 9.9626 Tf 99.895 706.129 Td [(info)]TJ +/F54 9.9626 Tf 99.895 706.129 Td [(info)]TJ 0 g 0 G -/F54 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ +/F57 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(out)]TJ/F57 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.907 -19.925 Td [(ila)]TJ +/F54 9.9626 Tf -24.907 -19.925 Td [(ila)]TJ 0 g 0 G -/F54 9.9626 Tf 16.598 0 Td [(the)-250(local)-250(indices)-250(of)-250(the)-250(starting)-250(vertex)-250(of)-250(the)-250(edges)-250(being)-250(inserted.)]TJ 8.309 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -53.011 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(optional)]TJ/F54 9.9626 Tf 38.187 0 Td [(.)]TJ -65.275 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(array)-250(of)-250(length)]TJ/F52 9.9626 Tf 171.978 0 Td [(n)-25(z)]TJ/F54 9.9626 Tf 10.336 0 Td [(.)]TJ +/F57 9.9626 Tf 16.598 0 Td [(the)-250(local)-250(indices)-250(of)-250(the)-250(starting)-250(vertex)-250(of)-250(the)-250(edges)-250(being)-250(inserted.)]TJ 8.309 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ -53.011 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(optional)]TJ/F57 9.9626 Tf 38.187 0 Td [(.)]TJ -65.275 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(out)]TJ/F57 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(array)-250(of)-250(length)]TJ/F55 9.9626 Tf 171.978 0 Td [(n)-25(z)]TJ/F57 9.9626 Tf 10.336 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -207.221 -19.925 Td [(jla)]TJ +/F54 9.9626 Tf -207.221 -19.925 Td [(jla)]TJ 0 g 0 G -/F54 9.9626 Tf 16.598 0 Td [(the)-250(local)-250(indices)-250(of)-250(the)-250(end)-250(vertex)-250(of)-250(the)-250(edges)-250(being)-250(inserted.)]TJ 8.309 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -53.011 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(optional)]TJ/F54 9.9626 Tf 38.187 0 Td [(.)]TJ -65.275 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(array)-250(of)-250(length)]TJ/F52 9.9626 Tf 171.978 0 Td [(n)-25(z)]TJ/F54 9.9626 Tf 10.336 0 Td [(.)]TJ/F51 11.9552 Tf -207.221 -21.918 Td [(Notes)]TJ +/F57 9.9626 Tf 16.598 0 Td [(the)-250(local)-250(indices)-250(of)-250(the)-250(end)-250(vertex)-250(of)-250(the)-250(edges)-250(being)-250(inserted.)]TJ 8.309 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ -53.011 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(optional)]TJ/F57 9.9626 Tf 38.187 0 Td [(.)]TJ -65.275 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(out)]TJ/F57 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(array)-250(of)-250(length)]TJ/F55 9.9626 Tf 171.978 0 Td [(n)-25(z)]TJ/F57 9.9626 Tf 10.336 0 Td [(.)]TJ/F54 11.9552 Tf -207.221 -21.918 Td [(Notes)]TJ 0 g 0 G -/F54 9.9626 Tf 12.454 -19.925 Td [(1.)]TJ +/F57 9.9626 Tf 12.454 -19.925 Td [(1.)]TJ 0 g 0 G [-500(This)-250(r)18(outine)-250(may)-250(only)-250(be)-250(called)-250(if)-250(the)-250(descriptor)-250(is)-250(in)-250(the)-250(build)-250(state;)]TJ 0 g 0 G @@ -16530,23 +16530,23 @@ stream 0 g 0 G 0 g 0 G BT -/F51 11.9552 Tf 150.705 706.129 Td [(6.3)-1000(psb)]TJ +/F54 11.9552 Tf 150.705 706.129 Td [(6.3)-1000(psb)]TJ ET q 1 0 0 1 198.238 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F51 11.9552 Tf 201.825 706.129 Td [(cdasb)-250(\227)-250(Communication)-250(descriptor)-250(assembly)-250(routine)]TJ +/F54 11.9552 Tf 201.825 706.129 Td [(cdasb)-250(\227)-250(Communication)-250(descriptor)-250(assembly)-250(routine)]TJ 0 g 0 G 0 g 0 G -/F59 9.9626 Tf -51.12 -18.964 Td [(call)-525(psb_cdasb\050desc_a,)-525(info)-525([,)-525(mold]\051)]TJ +/F62 9.9626 Tf -51.12 -18.964 Td [(call)-525(psb_cdasb\050desc_a,)-525(info)-525([,)-525(mold]\051)]TJ 0 g 0 G -/F51 9.9626 Tf 0 -21.918 Td [(T)90(ype:)]TJ +/F54 9.9626 Tf 0 -21.918 Td [(T)90(ype:)]TJ 0 g 0 G -/F54 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ +/F57 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ 0 g 0 G -/F51 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ +/F54 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -19.925 Td [(desc)]TJ @@ -16556,61 +16556,61 @@ q []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 174.207 625.397 Td [(a)]TJ +/F54 9.9626 Tf 174.207 625.397 Td [(a)]TJ 0 g 0 G -/F54 9.9626 Tf 9.962 0 Td [(the)-250(communication)-250(descriptor)74(.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 28.344 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -49.923 -11.956 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 24 0 Td [(required)]TJ/F54 9.9626 Tf 39.293 0 Td [(.)]TJ -63.293 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(inout)]TJ/F54 9.9626 Tf 24.348 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ +/F57 9.9626 Tf 9.962 0 Td [(the)-250(communication)-250(descriptor)74(.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 28.344 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ -49.923 -11.956 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 24 0 Td [(required)]TJ/F57 9.9626 Tf 39.293 0 Td [(.)]TJ -63.293 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(inout)]TJ/F57 9.9626 Tf 24.348 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 168.138 0 Td [(psb)]TJ +/F62 9.9626 Tf 168.138 0 Td [(psb)]TJ ET q 1 0 0 1 360.068 577.775 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 363.206 577.576 Td [(desc)]TJ +/F62 9.9626 Tf 363.206 577.576 Td [(desc)]TJ ET q 1 0 0 1 384.755 577.775 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 387.893 577.576 Td [(type)]TJ +/F62 9.9626 Tf 387.893 577.576 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf 20.922 0 Td [(.)]TJ +/F57 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -258.11 -19.925 Td [(mold)]TJ +/F54 9.9626 Tf -258.11 -19.925 Td [(mold)]TJ 0 g 0 G -/F54 9.9626 Tf 28.782 0 Td [(The)-250(desir)18(ed)-250(dynamic)-250(type)-250(for)-250(the)-250(internal)-250(index)-250(storage.)]TJ -3.875 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.431 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -53.011 -11.956 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(optional)]TJ/F54 9.9626 Tf 38.186 0 Td [(.)]TJ -65.275 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(in)]TJ/F54 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-190(as:)-280(a)-190(object)-190(of)-190(type)-190(derived)-190(fr)18(om)-190(\050integer\051)]TJ/F59 9.9626 Tf 221.926 0 Td [(psb)]TJ +/F57 9.9626 Tf 28.782 0 Td [(The)-250(desir)18(ed)-250(dynamic)-250(type)-250(for)-250(the)-250(internal)-250(index)-250(storage.)]TJ -3.875 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.431 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ -53.011 -11.956 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.089 0 Td [(optional)]TJ/F57 9.9626 Tf 38.186 0 Td [(.)]TJ -65.275 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(in)]TJ/F57 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-190(as:)-280(a)-190(object)-190(of)-190(type)-190(derived)-190(fr)18(om)-190(\050integer\051)]TJ/F62 9.9626 Tf 221.926 0 Td [(psb)]TJ ET q 1 0 0 1 413.855 510.029 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 416.994 509.83 Td [(T)]TJ +/F62 9.9626 Tf 416.994 509.83 Td [(T)]TJ ET q 1 0 0 1 422.851 510.029 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 425.99 509.83 Td [(base)]TJ +/F62 9.9626 Tf 425.99 509.83 Td [(base)]TJ ET q 1 0 0 1 447.539 510.029 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 450.677 509.83 Td [(vect)]TJ +/F62 9.9626 Tf 450.677 509.83 Td [(vect)]TJ ET q 1 0 0 1 472.226 510.029 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 475.364 509.83 Td [(type)]TJ/F54 9.9626 Tf 20.921 0 Td [(.)]TJ +/F62 9.9626 Tf 475.364 509.83 Td [(type)]TJ/F57 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -345.58 -21.918 Td [(On)-250(Return)]TJ +/F54 9.9626 Tf -345.58 -21.918 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -19.925 Td [(desc)]TJ @@ -16620,35 +16620,35 @@ q []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 174.207 467.987 Td [(a)]TJ +/F54 9.9626 Tf 174.207 467.987 Td [(a)]TJ 0 g 0 G -/F54 9.9626 Tf 9.962 0 Td [(the)-250(communication)-250(descriptor)74(.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 28.344 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -49.923 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 24 0 Td [(required)]TJ/F54 9.9626 Tf 39.293 0 Td [(.)]TJ -63.293 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(inout)]TJ/F54 9.9626 Tf 24.348 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ +/F57 9.9626 Tf 9.962 0 Td [(the)-250(communication)-250(descriptor)74(.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 28.344 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ -49.923 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 24 0 Td [(required)]TJ/F57 9.9626 Tf 39.293 0 Td [(.)]TJ -63.293 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(inout)]TJ/F57 9.9626 Tf 24.348 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 168.138 0 Td [(psb)]TJ +/F62 9.9626 Tf 168.138 0 Td [(psb)]TJ ET q 1 0 0 1 360.068 420.366 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 363.206 420.166 Td [(desc)]TJ +/F62 9.9626 Tf 363.206 420.166 Td [(desc)]TJ ET q 1 0 0 1 384.755 420.366 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 387.893 420.166 Td [(type)]TJ +/F62 9.9626 Tf 387.893 420.166 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf 20.922 0 Td [(.)]TJ +/F57 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -258.11 -19.925 Td [(info)]TJ +/F54 9.9626 Tf -258.11 -19.925 Td [(info)]TJ 0 g 0 G -/F54 9.9626 Tf 23.8 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(required)]TJ/F54 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.745 -11.956 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ/F51 11.9552 Tf -24.906 -21.917 Td [(Notes)]TJ +/F57 9.9626 Tf 23.8 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.089 0 Td [(required)]TJ/F57 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(out)]TJ/F57 9.9626 Tf 14.944 0 Td [(.)]TJ -46.745 -11.956 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ/F54 11.9552 Tf -24.906 -21.917 Td [(Notes)]TJ 0 g 0 G -/F54 9.9626 Tf 12.453 -19.926 Td [(1.)]TJ +/F57 9.9626 Tf 12.453 -19.926 Td [(1.)]TJ 0 g 0 G - [-500(On)-250(exit)-250(fr)18(om)-250(this)-250(r)18(outine)-250(the)-250(descriptor)-250(is)-250(in)-250(the)-250(assembled)-250(state.)]TJ -12.453 -19.925 Td [(This)-274(call)-275(will)-274(set)-275(up)-274(all)-275(the)-274(necessary)-275(information)-274(for)-275(the)-274(halo)-275(data)-274(exchanges.)]TJ 0 -11.955 Td [(In)-337(doing)-337(so,)-358(the)-337(library)-337(will)-337(need)-336(to)-337(identify)-337(the)-337(set)-337(of)-337(pr)18(ocesse)1(s)-337(owning)-337(the)]TJ 0 -11.955 Td [(halo)-381(indices)-381(thr)18(ough)-380(the)-381(use)-381(of)-381(the)]TJ/F59 9.9626 Tf 163.76 0 Td [(desc%fnd_owner\050\051)]TJ/F54 9.9626 Tf 87.479 0 Td [(method;)-446(the)-381(owning)]TJ -251.239 -11.956 Td [(pr)18(ocesses)-273(ar)18(e)-273(the)-273(topological)-272(neighbours)-273(of)-273(the)-273(calling)-273(pr)18(ocess.)-379(If)-272(the)-273(user)-273(has)]TJ 0 -11.955 Td [(some)-248(backgr)18(ound)-248(information)-248(on)-248(the)-248(pr)18(ocesses)-248(that)-248(ar)18(e)-248(neighbours)-248(of)-248(the)-248(cur)18(-)]TJ 0 -11.955 Td [(r)18(ent)-274(one,)-281(it)-274(is)-275(possible)-274(to)-274(specify)-275(explicitly)-274(the)-274(list)-275(of)-274(adjacent)-274(pr)18(ocesses)-275(with)-274(a)]TJ 0 -11.955 Td [(call)-327(to)]TJ/F59 9.9626 Tf 30.401 0 Td [(desc%set_p_adjcncy\050list\051)]TJ/F54 9.9626 Tf 125.529 0 Td [(;)-365(this)-327(will)-327(speed)-327(u)1(p)-327(the)-327(subsequent)-327(call)-327(to)]TJ/F59 9.9626 Tf -155.93 -11.955 Td [(psb_cdasb)]TJ/F54 9.9626 Tf 47.073 0 Td [(.)]TJ + [-500(On)-250(exit)-250(fr)18(om)-250(this)-250(r)18(outine)-250(the)-250(descriptor)-250(is)-250(in)-250(the)-250(assembled)-250(state.)]TJ -12.453 -19.925 Td [(This)-274(call)-275(will)-274(set)-275(up)-274(all)-275(the)-274(necessary)-275(information)-274(for)-275(the)-274(halo)-275(data)-274(exchanges.)]TJ 0 -11.955 Td [(In)-337(doing)-337(so,)-358(the)-337(library)-337(will)-337(need)-336(to)-337(identify)-337(the)-337(set)-337(of)-337(pr)18(ocesse)1(s)-337(owning)-337(the)]TJ 0 -11.955 Td [(halo)-381(indices)-381(thr)18(ough)-380(the)-381(use)-381(of)-381(the)]TJ/F62 9.9626 Tf 163.76 0 Td [(desc%fnd_owner\050\051)]TJ/F57 9.9626 Tf 87.479 0 Td [(method;)-446(the)-381(owning)]TJ -251.239 -11.956 Td [(pr)18(ocesses)-273(ar)18(e)-273(the)-273(topological)-272(neighbours)-273(of)-273(the)-273(calling)-273(pr)18(ocess.)-379(If)-272(the)-273(user)-273(has)]TJ 0 -11.955 Td [(some)-248(backgr)18(ound)-248(information)-248(on)-248(the)-248(pr)18(ocesses)-248(that)-248(ar)18(e)-248(neighbours)-248(of)-248(the)-248(cur)18(-)]TJ 0 -11.955 Td [(r)18(ent)-274(one,)-281(it)-274(is)-275(possible)-274(to)-274(specify)-275(explicitly)-274(the)-274(list)-275(of)-274(adjacent)-274(pr)18(ocesses)-275(with)-274(a)]TJ 0 -11.955 Td [(call)-327(to)]TJ/F62 9.9626 Tf 30.401 0 Td [(desc%set_p_adjcncy\050list\051)]TJ/F57 9.9626 Tf 125.529 0 Td [(;)-365(this)-327(will)-327(speed)-327(u)1(p)-327(the)-327(subsequent)-327(call)-327(to)]TJ/F62 9.9626 Tf -155.93 -11.955 Td [(psb_cdasb)]TJ/F57 9.9626 Tf 47.073 0 Td [(.)]TJ 0 g 0 G 119.801 -116.528 Td [(76)]TJ 0 g 0 G @@ -16664,23 +16664,23 @@ stream 0 g 0 G 0 g 0 G BT -/F51 11.9552 Tf 99.895 706.129 Td [(6.4)-1000(psb)]TJ +/F54 11.9552 Tf 99.895 706.129 Td [(6.4)-1000(psb)]TJ ET q 1 0 0 1 147.429 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F51 11.9552 Tf 151.016 706.129 Td [(cdcpy)-250(\227)-250(Copies)-250(a)-250(communication)-250(descriptor)]TJ +/F54 11.9552 Tf 151.016 706.129 Td [(cdcpy)-250(\227)-250(Copies)-250(a)-250(communication)-250(descriptor)]TJ 0 g 0 G 0 g 0 G -/F59 9.9626 Tf -51.121 -18.964 Td [(call)-525(psb_cdcpy\050desc_in,)-525(desc_out,)-525(info\051)]TJ +/F62 9.9626 Tf -51.121 -18.964 Td [(call)-525(psb_cdcpy\050desc_in,)-525(desc_out,)-525(info\051)]TJ 0 g 0 G -/F51 9.9626 Tf 0 -21.918 Td [(T)90(ype:)]TJ +/F54 9.9626 Tf 0 -21.918 Td [(T)90(ype:)]TJ 0 g 0 G -/F54 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ +/F57 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ 0 g 0 G -/F51 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ +/F54 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -19.925 Td [(desc)]TJ @@ -16690,29 +16690,29 @@ q []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 123.397 625.397 Td [(in)]TJ +/F54 9.9626 Tf 123.397 625.397 Td [(in)]TJ 0 g 0 G -/F54 9.9626 Tf 14.386 0 Td [(the)-250(communication)-250(descriptor)74(.)]TJ -12.981 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 28.343 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -49.922 -11.956 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 24 0 Td [(required)]TJ/F54 9.9626 Tf 39.292 0 Td [(.)]TJ -63.292 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ +/F57 9.9626 Tf 14.386 0 Td [(the)-250(communication)-250(descriptor)74(.)]TJ -12.981 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 28.343 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ -49.922 -11.956 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 24 0 Td [(required)]TJ/F57 9.9626 Tf 39.292 0 Td [(.)]TJ -63.292 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 168.138 0 Td [(psb)]TJ +/F62 9.9626 Tf 168.138 0 Td [(psb)]TJ ET q 1 0 0 1 309.258 577.775 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 312.397 577.576 Td [(desc)]TJ +/F62 9.9626 Tf 312.397 577.576 Td [(desc)]TJ ET q 1 0 0 1 333.945 577.775 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 337.084 577.576 Td [(type)]TJ +/F62 9.9626 Tf 337.084 577.576 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf 20.921 0 Td [(.)]TJ +/F57 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -258.11 -21.918 Td [(On)-250(Return)]TJ +/F54 9.9626 Tf -258.11 -21.918 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -19.925 Td [(desc)]TJ @@ -16722,31 +16722,31 @@ q []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 123.397 535.733 Td [(out)]TJ +/F54 9.9626 Tf 123.397 535.733 Td [(out)]TJ 0 g 0 G -/F54 9.9626 Tf 19.925 0 Td [(the)-250(communication)-250(descriptor)-250(copy)111(.)]TJ -18.52 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 28.343 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -49.922 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 24 0 Td [(required)]TJ/F54 9.9626 Tf 39.292 0 Td [(.)]TJ -63.292 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ +/F57 9.9626 Tf 19.925 0 Td [(the)-250(communication)-250(descriptor)-250(copy)111(.)]TJ -18.52 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 28.343 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ -49.922 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 24 0 Td [(required)]TJ/F57 9.9626 Tf 39.292 0 Td [(.)]TJ -63.292 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(out)]TJ/F57 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 168.138 0 Td [(psb)]TJ +/F62 9.9626 Tf 168.138 0 Td [(psb)]TJ ET q 1 0 0 1 309.258 488.112 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 312.397 487.912 Td [(desc)]TJ +/F62 9.9626 Tf 312.397 487.912 Td [(desc)]TJ ET q 1 0 0 1 333.945 488.112 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 337.084 487.912 Td [(type)]TJ +/F62 9.9626 Tf 337.084 487.912 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf 20.921 0 Td [(.)]TJ +/F57 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -258.11 -19.925 Td [(info)]TJ +/F54 9.9626 Tf -258.11 -19.925 Td [(info)]TJ 0 g 0 G -/F54 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ +/F57 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(out)]TJ/F57 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ 0 g 0 G 141.968 -329.728 Td [(77)]TJ 0 g 0 G @@ -16762,23 +16762,23 @@ stream 0 g 0 G 0 g 0 G BT -/F51 11.9552 Tf 150.705 706.129 Td [(6.5)-1000(psb)]TJ +/F54 11.9552 Tf 150.705 706.129 Td [(6.5)-1000(psb)]TJ ET q 1 0 0 1 198.238 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F51 11.9552 Tf 201.825 706.129 Td [(cdfree)-250(\227)-250(Frees)-250(a)-250(communication)-250(descriptor)]TJ +/F54 11.9552 Tf 201.825 706.129 Td [(cdfree)-250(\227)-250(Frees)-250(a)-250(communication)-250(descriptor)]TJ 0 g 0 G 0 g 0 G -/F59 9.9626 Tf -51.12 -18.964 Td [(call)-525(psb_cdfree\050desc_a,)-525(info\051)]TJ +/F62 9.9626 Tf -51.12 -18.964 Td [(call)-525(psb_cdfree\050desc_a,)-525(info\051)]TJ 0 g 0 G -/F51 9.9626 Tf 0 -21.918 Td [(T)90(ype:)]TJ +/F54 9.9626 Tf 0 -21.918 Td [(T)90(ype:)]TJ 0 g 0 G -/F54 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ +/F57 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ 0 g 0 G -/F51 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ +/F54 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -19.925 Td [(desc)]TJ @@ -16788,34 +16788,34 @@ q []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 174.207 625.397 Td [(a)]TJ +/F54 9.9626 Tf 174.207 625.397 Td [(a)]TJ 0 g 0 G -/F54 9.9626 Tf 9.962 0 Td [(the)-250(communication)-250(descriptor)-250(to)-250(be)-250(fr)18(eed.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 28.344 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -49.923 -11.956 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 24 0 Td [(required)]TJ/F54 9.9626 Tf 39.293 0 Td [(.)]TJ -63.293 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(inout)]TJ/F54 9.9626 Tf 24.348 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ +/F57 9.9626 Tf 9.962 0 Td [(the)-250(communication)-250(descriptor)-250(to)-250(be)-250(fr)18(eed.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 28.344 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ -49.923 -11.956 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 24 0 Td [(required)]TJ/F57 9.9626 Tf 39.293 0 Td [(.)]TJ -63.293 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(inout)]TJ/F57 9.9626 Tf 24.348 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 168.138 0 Td [(psb)]TJ +/F62 9.9626 Tf 168.138 0 Td [(psb)]TJ ET q 1 0 0 1 360.068 577.775 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 363.206 577.576 Td [(desc)]TJ +/F62 9.9626 Tf 363.206 577.576 Td [(desc)]TJ ET q 1 0 0 1 384.755 577.775 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 387.893 577.576 Td [(type)]TJ +/F62 9.9626 Tf 387.893 577.576 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf 20.922 0 Td [(.)]TJ +/F57 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -258.11 -21.918 Td [(On)-250(Return)]TJ +/F54 9.9626 Tf -258.11 -21.918 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -19.925 Td [(info)]TJ 0 g 0 G -/F54 9.9626 Tf 23.8 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(required)]TJ/F54 9.9626 Tf -27.089 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.745 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ +/F57 9.9626 Tf 23.8 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.089 0 Td [(required)]TJ/F57 9.9626 Tf -27.089 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(out)]TJ/F57 9.9626 Tf 14.944 0 Td [(.)]TJ -46.745 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ 0 g 0 G 141.968 -397.474 Td [(78)]TJ 0 g 0 G @@ -16831,67 +16831,67 @@ stream 0 g 0 G 0 g 0 G BT -/F51 11.9552 Tf 99.895 706.129 Td [(6.6)-1000(psb)]TJ +/F54 11.9552 Tf 99.895 706.129 Td [(6.6)-1000(psb)]TJ ET q 1 0 0 1 147.429 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F51 11.9552 Tf 151.016 706.129 Td [(cdbldext)-190(\227)-190(Build)-190(an)-190(extended)-190(communication)-190(descrip-)]TJ -24.221 -13.948 Td [(tor)]TJ +/F54 11.9552 Tf 151.016 706.129 Td [(cdbldext)-190(\227)-190(Build)-190(an)-190(extended)-190(communication)-190(descrip-)]TJ -24.221 -13.948 Td [(tor)]TJ 0 g 0 G 0 g 0 G -/F59 9.9626 Tf -26.9 -19.693 Td [(call)-525(psb_cdbldext\050a,desc_a,nl,desc_out,)-525(info,)-525(extype\051)]TJ/F54 9.9626 Tf 14.944 -23.422 Td [(This)-379(subr)18(outine)-379(builds)-379(an)-379(extended)-379(communication)-379(descriptor)74(,)-411(based)-379(on)]TJ -14.944 -11.955 Td [(the)-428(input)-428(descriptor)]TJ/F59 9.9626 Tf 95.499 0 Td [(desc_a)]TJ/F54 9.9626 Tf 35.646 0 Td [(and)-428(on)-428(the)-428(stencil)-428(speci\002ed)-428(thr)18(ough)-428(the)-427(input)]TJ -131.145 -11.955 Td [(sparse)-250(matrix)]TJ/F59 9.9626 Tf 62.107 0 Td [(a)]TJ/F54 9.9626 Tf 5.23 0 Td [(.)]TJ +/F62 9.9626 Tf -26.9 -19.693 Td [(call)-525(psb_cdbldext\050a,desc_a,nl,desc_out,)-525(info,)-525(extype\051)]TJ/F57 9.9626 Tf 14.944 -23.422 Td [(This)-379(subr)18(outine)-379(builds)-379(an)-379(extended)-379(communication)-379(descriptor)74(,)-411(based)-379(on)]TJ -14.944 -11.955 Td [(the)-428(input)-428(descriptor)]TJ/F62 9.9626 Tf 95.499 0 Td [(desc_a)]TJ/F57 9.9626 Tf 35.646 0 Td [(and)-428(on)-428(the)-428(stencil)-428(speci\002ed)-428(thr)18(ough)-428(the)-427(input)]TJ -131.145 -11.955 Td [(sparse)-250(matrix)]TJ/F62 9.9626 Tf 62.107 0 Td [(a)]TJ/F57 9.9626 Tf 5.23 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -67.337 -21.054 Td [(T)90(ype:)]TJ +/F54 9.9626 Tf -67.337 -21.054 Td [(T)90(ype:)]TJ 0 g 0 G -/F54 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ +/F57 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ 0 g 0 G -/F51 9.9626 Tf -29.828 -21.429 Td [(On)-250(Entry)]TJ +/F54 9.9626 Tf -29.828 -21.429 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -21.43 Td [(a)]TJ 0 g 0 G -/F54 9.9626 Tf 9.963 0 Td [(A)-250(sparse)-250(matrix)-250(Scope:)]TJ/F51 9.9626 Tf 100.691 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -107.326 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 24 0 Td [(required)]TJ/F54 9.9626 Tf 39.292 0 Td [(.)]TJ -63.292 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(type.)]TJ +/F57 9.9626 Tf 9.963 0 Td [(A)-250(sparse)-250(matrix)-250(Scope:)]TJ/F54 9.9626 Tf 100.691 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ -107.326 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 24 0 Td [(required)]TJ/F57 9.9626 Tf 39.292 0 Td [(.)]TJ -63.292 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(type.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.907 -21.429 Td [(desc)]TJ +/F54 9.9626 Tf -24.907 -21.429 Td [(desc)]TJ ET q 1 0 0 1 120.408 504.147 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 123.397 503.948 Td [(a)]TJ +/F54 9.9626 Tf 123.397 503.948 Td [(a)]TJ 0 g 0 G -/F54 9.9626 Tf 9.963 0 Td [(the)-250(communication)-250(descriptor)74(.)]TJ -8.558 -11.956 Td [(Scope:)]TJ/F51 9.9626 Tf 28.343 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -49.922 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 24 0 Td [(required)]TJ/F54 9.9626 Tf 39.292 0 Td [(.)]TJ -63.292 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ +/F57 9.9626 Tf 9.963 0 Td [(the)-250(communication)-250(descriptor)74(.)]TJ -8.558 -11.956 Td [(Scope:)]TJ/F54 9.9626 Tf 28.343 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ -49.922 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 24 0 Td [(required)]TJ/F57 9.9626 Tf 39.292 0 Td [(.)]TJ -63.292 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 168.138 0 Td [(psb)]TJ +/F62 9.9626 Tf 168.138 0 Td [(psb)]TJ ET q 1 0 0 1 309.258 456.326 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 312.397 456.127 Td [(Tspmat)]TJ +/F62 9.9626 Tf 312.397 456.127 Td [(Tspmat)]TJ ET q 1 0 0 1 344.406 456.326 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 347.544 456.127 Td [(type)]TJ +/F62 9.9626 Tf 347.544 456.127 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf 20.922 0 Td [(.)]TJ +/F57 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -268.571 -21.43 Td [(nl)]TJ +/F54 9.9626 Tf -268.571 -21.43 Td [(nl)]TJ 0 g 0 G -/F54 9.9626 Tf 14.386 0 Td [(the)-250(number)-250(of)-250(additional)-250(layers)-250(desir)18(ed.)]TJ 10.521 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 28.343 0 Td [(global)]TJ/F54 9.9626 Tf 28.782 0 Td [(.)]TJ -57.125 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 24 0 Td [(required)]TJ/F54 9.9626 Tf 39.292 0 Td [(.)]TJ -63.292 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(value)]TJ/F52 9.9626 Tf 131.102 0 Td [(n)-25(l)]TJ/F83 10.3811 Tf 11.873 0 Td [(\025)]TJ/F54 9.9626 Tf 10.961 0 Td [(0.)]TJ +/F57 9.9626 Tf 14.386 0 Td [(the)-250(number)-250(of)-250(additional)-250(layers)-250(desir)18(ed.)]TJ 10.521 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 28.343 0 Td [(global)]TJ/F57 9.9626 Tf 28.782 0 Td [(.)]TJ -57.125 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 24 0 Td [(required)]TJ/F57 9.9626 Tf 39.292 0 Td [(.)]TJ -63.292 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(value)]TJ/F55 9.9626 Tf 131.102 0 Td [(n)-25(l)]TJ/F86 10.3811 Tf 11.873 0 Td [(\025)]TJ/F57 9.9626 Tf 10.961 0 Td [(0.)]TJ 0 g 0 G -/F51 9.9626 Tf -178.843 -21.43 Td [(extype)]TJ +/F54 9.9626 Tf -178.843 -21.43 Td [(extype)]TJ 0 g 0 G -/F54 9.9626 Tf 34.869 0 Td [(the)-250(kind)-250(of)-250(estension)-250(r)18(equir)18(ed.)]TJ -9.962 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 28.343 0 Td [(global)]TJ/F54 9.9626 Tf 28.782 0 Td [(.)]TJ -57.125 -11.956 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 24 0 Td [(optional)]TJ/F54 9.9626 Tf 40.677 0 Td [(.)]TJ -64.677 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-345(as:)-501(an)-345(integer)-346(value)]TJ/F59 9.9626 Tf 136.676 0 Td [(psb_ovt_xhal_)]TJ/F54 9.9626 Tf 67.994 0 Td [(,)]TJ/F59 9.9626 Tf 6.169 0 Td [(psb_ovt_asov_)]TJ/F54 9.9626 Tf 67.994 0 Td [(,)-369(default:)]TJ/F59 9.9626 Tf -278.833 -11.955 Td [(psb_ovt_xhal_)]TJ +/F57 9.9626 Tf 34.869 0 Td [(the)-250(kind)-250(of)-250(estension)-250(r)18(equir)18(ed.)]TJ -9.962 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 28.343 0 Td [(global)]TJ/F57 9.9626 Tf 28.782 0 Td [(.)]TJ -57.125 -11.956 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 24 0 Td [(optional)]TJ/F57 9.9626 Tf 40.677 0 Td [(.)]TJ -64.677 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-345(as:)-501(an)-345(integer)-346(value)]TJ/F62 9.9626 Tf 136.676 0 Td [(psb_ovt_xhal_)]TJ/F57 9.9626 Tf 67.994 0 Td [(,)]TJ/F62 9.9626 Tf 6.169 0 Td [(psb_ovt_asov_)]TJ/F57 9.9626 Tf 67.994 0 Td [(,)-369(default:)]TJ/F62 9.9626 Tf -278.833 -11.955 Td [(psb_ovt_xhal_)]TJ 0 g 0 G -/F51 9.9626 Tf -24.907 -23.422 Td [(On)-250(Return)]TJ +/F54 9.9626 Tf -24.907 -23.422 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -21.43 Td [(desc)]TJ @@ -16901,33 +16901,33 @@ q []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 123.397 260.819 Td [(out)]TJ +/F54 9.9626 Tf 123.397 260.819 Td [(out)]TJ 0 g 0 G -/F54 9.9626 Tf 19.925 0 Td [(the)-250(extended)-250(communication)-250(descriptor)74(.)]TJ -18.52 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 28.343 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -49.922 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 24 0 Td [(required)]TJ/F54 9.9626 Tf 39.292 0 Td [(.)]TJ -63.292 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(inout)]TJ/F54 9.9626 Tf 24.349 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ +/F57 9.9626 Tf 19.925 0 Td [(the)-250(extended)-250(communication)-250(descriptor)74(.)]TJ -18.52 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 28.343 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ -49.922 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 24 0 Td [(required)]TJ/F57 9.9626 Tf 39.292 0 Td [(.)]TJ -63.292 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(inout)]TJ/F57 9.9626 Tf 24.349 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 168.138 0 Td [(psb)]TJ +/F62 9.9626 Tf 168.138 0 Td [(psb)]TJ ET q 1 0 0 1 309.258 213.198 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 312.397 212.998 Td [(desc)]TJ +/F62 9.9626 Tf 312.397 212.998 Td [(desc)]TJ ET q 1 0 0 1 333.945 213.198 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 337.084 212.998 Td [(type)]TJ +/F62 9.9626 Tf 337.084 212.998 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf 20.921 0 Td [(.)]TJ +/F57 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -258.11 -21.429 Td [(info)]TJ +/F54 9.9626 Tf -258.11 -21.429 Td [(info)]TJ 0 g 0 G -/F54 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.956 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ/F51 11.9552 Tf -24.907 -23.422 Td [(Notes)]TJ +/F57 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.956 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(out)]TJ/F57 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ/F54 11.9552 Tf -24.907 -23.422 Td [(Notes)]TJ 0 g 0 G -/F54 9.9626 Tf 166.875 -29.888 Td [(79)]TJ +/F57 9.9626 Tf 166.875 -29.888 Td [(79)]TJ 0 g 0 G ET @@ -16942,13 +16942,13 @@ stream 0 g 0 G 0 g 0 G BT -/F54 9.9626 Tf 163.158 706.129 Td [(1.)]TJ +/F57 9.9626 Tf 163.158 706.129 Td [(1.)]TJ 0 g 0 G - [-500(Specifying)]TJ/F59 9.9626 Tf 61.745 0 Td [(psb_ovt_xhal_)]TJ/F54 9.9626 Tf 70.881 0 Td [(for)-290(the)]TJ/F59 9.9626 Tf 32.282 0 Td [(extype)]TJ/F54 9.9626 Tf 34.269 0 Td [(ar)18(gument)-290(the)-289(user)-290(will)-290(obtain)]TJ -186.724 -11.955 Td [(a)-400(descriptor)-400(for)-400(a)-400(domain)-400(partition)-400(in)-400(which)-400(the)-400(additional)-400(layers)-400(ar)18(e)]TJ 0 -11.955 Td [(fetched)-222(as)-221(part)-222(of)-221(an)-222(\050extended\051)-221(halo;)-232(however)-221(the)-222(index-to-pr)18(ocess)-221(map-)]TJ 0 -11.956 Td [(ping)-250(is)-250(identical)-250(to)-250(that)-250(of)-250(the)-250(base)-250(descriptor;)]TJ + [-500(Specifying)]TJ/F62 9.9626 Tf 61.745 0 Td [(psb_ovt_xhal_)]TJ/F57 9.9626 Tf 70.881 0 Td [(for)-290(the)]TJ/F62 9.9626 Tf 32.282 0 Td [(extype)]TJ/F57 9.9626 Tf 34.269 0 Td [(ar)18(gument)-290(the)-289(user)-290(will)-290(obtain)]TJ -186.724 -11.955 Td [(a)-400(descriptor)-400(for)-400(a)-400(domain)-400(partition)-400(in)-400(which)-400(the)-400(additional)-400(layers)-400(ar)18(e)]TJ 0 -11.955 Td [(fetched)-222(as)-221(part)-222(of)-221(an)-222(\050extended\051)-221(halo;)-232(however)-221(the)-222(index-to-pr)18(ocess)-221(map-)]TJ 0 -11.956 Td [(ping)-250(is)-250(identical)-250(to)-250(that)-250(of)-250(the)-250(base)-250(descriptor;)]TJ 0 g 0 G -12.453 -19.925 Td [(2.)]TJ 0 g 0 G - [-500(Specifying)]TJ/F59 9.9626 Tf 61.745 0 Td [(psb_ovt_asov_)]TJ/F54 9.9626 Tf 70.881 0 Td [(for)-290(the)]TJ/F59 9.9626 Tf 32.282 0 Td [(extype)]TJ/F54 9.9626 Tf 34.269 0 Td [(ar)18(gument)-290(the)-289(user)-290(will)-290(obtain)]TJ -186.724 -11.955 Td [(a)-330(descriptor)-331(with)-330(an)-330(overlapped)-331(decomposition:)-470(the)-331(additional)-330(layer)-330(is)]TJ 0 -11.955 Td [(aggr)18(egated)-326(to)-326(the)-326(local)-326(subdomain)-326(\050and)-326(thus)-326(is)-325(an)-326(overlap\051,)-345(and)-326(a)-326(new)]TJ 0 -11.955 Td [(halo)-250(extending)-250(beyond)-250(the)-250(last)-250(additional)-250(layer)-250(is)-250(formed.)]TJ + [-500(Specifying)]TJ/F62 9.9626 Tf 61.745 0 Td [(psb_ovt_asov_)]TJ/F57 9.9626 Tf 70.881 0 Td [(for)-290(the)]TJ/F62 9.9626 Tf 32.282 0 Td [(extype)]TJ/F57 9.9626 Tf 34.269 0 Td [(ar)18(gument)-290(the)-289(user)-290(will)-290(obtain)]TJ -186.724 -11.955 Td [(a)-330(descriptor)-331(with)-330(an)-330(overlapped)-331(decomposition:)-470(the)-331(additional)-330(layer)-330(is)]TJ 0 -11.955 Td [(aggr)18(egated)-326(to)-326(the)-326(local)-326(subdomain)-326(\050and)-326(thus)-326(is)-325(an)-326(overlap\051,)-345(and)-326(a)-326(new)]TJ 0 -11.955 Td [(halo)-250(extending)-250(beyond)-250(the)-250(last)-250(additional)-250(layer)-250(is)-250(formed.)]TJ 0 g 0 G 141.968 -524.035 Td [(80)]TJ 0 g 0 G @@ -16964,23 +16964,23 @@ stream 0 g 0 G 0 g 0 G BT -/F51 11.9552 Tf 99.895 706.129 Td [(6.7)-1000(psb)]TJ +/F54 11.9552 Tf 99.895 706.129 Td [(6.7)-1000(psb)]TJ ET q 1 0 0 1 147.429 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F51 11.9552 Tf 151.016 706.129 Td [(spall)-250(\227)-250(Allocates)-250(a)-250(sparse)-250(matrix)]TJ +/F54 11.9552 Tf 151.016 706.129 Td [(spall)-250(\227)-250(Allocates)-250(a)-250(sparse)-250(matrix)]TJ 0 g 0 G 0 g 0 G -/F59 9.9626 Tf -51.121 -18.964 Td [(call)-525(psb_spall\050a,)-525(desc_a,)-525(info,)-525(nnz,)-525(buildmode\051)]TJ +/F62 9.9626 Tf -51.121 -18.964 Td [(call)-525(psb_spall\050a,)-525(desc_a,)-525(info,)-525(nnz,)-525(buildmode\051)]TJ 0 g 0 G -/F51 9.9626 Tf 0 -19.848 Td [(T)90(ype:)]TJ +/F54 9.9626 Tf 0 -19.848 Td [(T)90(ype:)]TJ 0 g 0 G -/F54 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ +/F57 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ 0 g 0 G -/F51 9.9626 Tf -29.828 -19.097 Td [(On)-250(Entry)]TJ +/F54 9.9626 Tf -29.828 -19.097 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -19.098 Td [(desc)]TJ @@ -16990,66 +16990,66 @@ q []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 123.397 629.122 Td [(a)]TJ +/F54 9.9626 Tf 123.397 629.122 Td [(a)]TJ 0 g 0 G -/F54 9.9626 Tf 9.963 0 Td [(the)-250(communication)-250(descriptor)74(.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 28.343 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -49.922 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 24 0 Td [(required)]TJ/F54 9.9626 Tf 39.292 0 Td [(.)]TJ -63.292 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.956 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ +/F57 9.9626 Tf 9.963 0 Td [(the)-250(communication)-250(descriptor)74(.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 28.343 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ -49.922 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 24 0 Td [(required)]TJ/F57 9.9626 Tf 39.292 0 Td [(.)]TJ -63.292 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.956 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 168.138 0 Td [(psb)]TJ +/F62 9.9626 Tf 168.138 0 Td [(psb)]TJ ET q 1 0 0 1 309.258 581.501 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 312.397 581.301 Td [(desc)]TJ +/F62 9.9626 Tf 312.397 581.301 Td [(desc)]TJ ET q 1 0 0 1 333.945 581.501 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 337.084 581.301 Td [(type)]TJ +/F62 9.9626 Tf 337.084 581.301 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf 20.921 0 Td [(.)]TJ +/F57 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -258.11 -19.097 Td [(nnz)]TJ +/F54 9.9626 Tf -258.11 -19.097 Td [(nnz)]TJ 0 g 0 G -/F54 9.9626 Tf 22.137 0 Td [(An)-230(estimate)-230(of)-230(the)-230(number)-230(of)-231(nonzer)18(oes)-230(in)-230(the)-230(local)-230(part)-230(of)-230(the)-230(assembled)]TJ 2.77 -11.955 Td [(matrix.)]TJ 0 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(global)]TJ/F54 9.9626 Tf 28.782 0 Td [(.)]TJ -60.214 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(optional)]TJ/F54 9.9626 Tf 38.187 0 Td [(.)]TJ -65.275 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(value.)]TJ +/F57 9.9626 Tf 22.137 0 Td [(An)-230(estimate)-230(of)-230(the)-230(number)-230(of)-231(nonzer)18(oes)-230(in)-230(the)-230(local)-230(part)-230(of)-230(the)-230(assembled)]TJ 2.77 -11.955 Td [(matrix.)]TJ 0 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(global)]TJ/F57 9.9626 Tf 28.782 0 Td [(.)]TJ -60.214 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(optional)]TJ/F57 9.9626 Tf 38.187 0 Td [(.)]TJ -65.275 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(value.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.907 -19.097 Td [(buildmode)]TJ +/F54 9.9626 Tf -24.907 -19.097 Td [(buildmode)]TJ 0 g 0 G -/F54 9.9626 Tf 55.343 0 Td [(Whether)-293(to)-293(keep)-293(track)-293(of)-293(matrix)-294(entries)-293(that)-293(do)-293(not)-293(belong)-293(to)-293(the)]TJ -30.436 -11.955 Td [(curr)18(ent)-250(pr)18(ocess.)]TJ 0 -11.956 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(global)]TJ/F54 9.9626 Tf 28.782 0 Td [(.)]TJ -60.214 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(optional)]TJ/F54 9.9626 Tf 38.187 0 Td [(.)]TJ -65.275 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-190(as:)-280(an)-190(integer)-190(value)]TJ/F59 9.9626 Tf 128.287 0 Td [(psb_matbld_noremote_)]TJ/F54 9.9626 Tf 104.607 0 Td [(,)]TJ/F59 9.9626 Tf 4.503 0 Td [(psb_matbld_remote_)]TJ/F54 9.9626 Tf 94.146 0 Td [(.)]TJ -331.543 -11.955 Td [(Default:)]TJ/F59 9.9626 Tf 38.515 0 Td [(psb_matbld_noremote_)]TJ/F54 9.9626 Tf 104.607 0 Td [(.)]TJ +/F57 9.9626 Tf 55.343 0 Td [(Whether)-293(to)-293(keep)-293(track)-293(of)-293(matrix)-294(entries)-293(that)-293(do)-293(not)-293(belong)-293(to)-293(the)]TJ -30.436 -11.955 Td [(curr)18(ent)-250(pr)18(ocess.)]TJ 0 -11.956 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(global)]TJ/F57 9.9626 Tf 28.782 0 Td [(.)]TJ -60.214 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(optional)]TJ/F57 9.9626 Tf 38.187 0 Td [(.)]TJ -65.275 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-190(as:)-280(an)-190(integer)-190(value)]TJ/F62 9.9626 Tf 128.287 0 Td [(psb_matbld_noremote_)]TJ/F57 9.9626 Tf 104.607 0 Td [(,)]TJ/F62 9.9626 Tf 4.503 0 Td [(psb_matbld_remote_)]TJ/F57 9.9626 Tf 94.146 0 Td [(.)]TJ -331.543 -11.955 Td [(Default:)]TJ/F62 9.9626 Tf 38.515 0 Td [(psb_matbld_noremote_)]TJ/F57 9.9626 Tf 104.607 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -168.029 -19.848 Td [(On)-250(Return)]TJ +/F54 9.9626 Tf -168.029 -19.848 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -19.098 Td [(a)]TJ 0 g 0 G -/F54 9.9626 Tf 9.963 0 Td [(the)-250(matrix)-250(to)-250(be)-250(allocated.)]TJ 14.944 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 28.343 0 Td [(local)]TJ/F54 9.9626 Tf -28.343 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 24 0 Td [(required)]TJ/F54 9.9626 Tf -24 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.956 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ +/F57 9.9626 Tf 9.963 0 Td [(the)-250(matrix)-250(to)-250(be)-250(allocated.)]TJ 14.944 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 28.343 0 Td [(local)]TJ/F57 9.9626 Tf -28.343 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 24 0 Td [(required)]TJ/F57 9.9626 Tf -24 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(out)]TJ/F57 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.956 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 168.138 0 Td [(psb)]TJ +/F62 9.9626 Tf 168.138 0 Td [(psb)]TJ ET q 1 0 0 1 309.258 325.033 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 312.397 324.834 Td [(Tspmat)]TJ +/F62 9.9626 Tf 312.397 324.834 Td [(Tspmat)]TJ ET q 1 0 0 1 344.406 325.033 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 347.544 324.834 Td [(type)]TJ +/F62 9.9626 Tf 347.544 324.834 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf 20.922 0 Td [(.)]TJ +/F57 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -268.571 -19.098 Td [(info)]TJ +/F54 9.9626 Tf -268.571 -19.098 Td [(info)]TJ 0 g 0 G -/F54 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.956 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ/F51 11.9552 Tf -24.907 -19.848 Td [(Notes)]TJ +/F57 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(out)]TJ/F57 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.956 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ/F54 11.9552 Tf -24.907 -19.848 Td [(Notes)]TJ 0 g 0 G -/F54 9.9626 Tf 12.454 -18.269 Td [(1.)]TJ +/F57 9.9626 Tf 12.454 -18.269 Td [(1.)]TJ 0 g 0 G [-500(On)-250(exit)-250(fr)18(om)-250(this)-250(r)18(outine)-250(the)-250(sparse)-250(matrix)-250(is)-250(in)-250(the)-250(build)-250(state.)]TJ 0 g 0 G @@ -17059,11 +17059,11 @@ BT 0 g 0 G 0 -19.097 Td [(3.)]TJ 0 g 0 G - [-500(Pr)18(oviding)-219(a)-219(good)-219(est)1(imate)-219(for)-219(the)-219(number)-219(of)-219(nonzer)18(oes)]TJ/F52 9.9626 Tf 255.76 0 Td [(n)-25(n)-25(z)]TJ/F54 9.9626 Tf 18.305 0 Td [(in)-219(the)-219(assem-)]TJ -261.612 -11.955 Td [(bled)-294(matrix)-295(may)-294(substantially)-295(impr)18(ove)-294(performance)-295(in)-294(the)-295(matrix)-294(build)]TJ 0 -11.955 Td [(phase,)-370(as)-346(it)-346(will)-345(r)18(educe)-346(or)-346(eliminate)-346(the)-346(need)-346(for)-345(\050potentially)-346(multiple\051)]TJ 0 -11.956 Td [(data)-250(r)18(eallocations;)]TJ + [-500(Pr)18(oviding)-219(a)-219(good)-219(est)1(imate)-219(for)-219(the)-219(number)-219(of)-219(nonzer)18(oes)]TJ/F55 9.9626 Tf 255.76 0 Td [(n)-25(n)-25(z)]TJ/F57 9.9626 Tf 18.305 0 Td [(in)-219(the)-219(assem-)]TJ -261.612 -11.955 Td [(bled)-294(matrix)-295(may)-294(substantially)-295(impr)18(ove)-294(performance)-295(in)-294(the)-295(matrix)-294(build)]TJ 0 -11.955 Td [(phase,)-370(as)-346(it)-346(will)-345(r)18(educe)-346(or)-346(eliminate)-346(the)-346(need)-346(for)-345(\050potentially)-346(multiple\051)]TJ 0 -11.956 Td [(data)-250(r)18(eallocations;)]TJ 0 g 0 G -12.453 -19.097 Td [(4.)]TJ 0 g 0 G - [-500(Using)]TJ/F59 9.9626 Tf 41.155 0 Td [(psb_matbld_remote_)]TJ/F54 9.9626 Tf 96.637 0 Td [(will)-250(cause)-250(an)-250(over)18(head)-250(at)-250(assembly)-250(time;)]TJ + [-500(Using)]TJ/F62 9.9626 Tf 41.155 0 Td [(psb_matbld_remote_)]TJ/F57 9.9626 Tf 96.637 0 Td [(will)-250(cause)-250(an)-250(over)18(head)-250(at)-250(assembly)-250(time;)]TJ 0 g 0 G 16.629 -36.202 Td [(81)]TJ 0 g 0 G @@ -17079,52 +17079,52 @@ stream 0 g 0 G 0 g 0 G BT -/F51 11.9552 Tf 150.705 706.129 Td [(6.8)-1000(psb)]TJ +/F54 11.9552 Tf 150.705 706.129 Td [(6.8)-1000(psb)]TJ ET q 1 0 0 1 198.238 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F51 11.9552 Tf 201.825 706.129 Td [(spins)-233(\227)-233(Insert)-233(a)-233(set)-234(of)-233(coef)18(\002cients)-233(into)-233(a)-233(sparse)-233(matrix)]TJ +/F54 11.9552 Tf 201.825 706.129 Td [(spins)-233(\227)-233(Insert)-233(a)-233(set)-234(of)-233(coef)18(\002cients)-233(into)-233(a)-233(sparse)-233(matrix)]TJ 0 g 0 G 0 g 0 G -/F59 9.9626 Tf -51.12 -20.373 Td [(call)-525(psb_spins\050nz,)-525(ia,)-525(ja,)-525(val,)-525(a,)-525(desc_a,)-525(info)-525([,local]\051)]TJ 0 -11.956 Td [(call)-525(psb_spins\050nr,)-525(irw,)-525(irp,)-525(ja,)-525(val,)-525(a,)-525(desc_a,)-525(info)-525([,local]\051)]TJ +/F62 9.9626 Tf -51.12 -20.373 Td [(call)-525(psb_spins\050nz,)-525(ia,)-525(ja,)-525(val,)-525(a,)-525(desc_a,)-525(info)-525([,local]\051)]TJ 0 -11.956 Td [(call)-525(psb_spins\050nr,)-525(irw,)-525(irp,)-525(ja,)-525(val,)-525(a,)-525(desc_a,)-525(info)-525([,local]\051)]TJ 0 g 0 G -/F51 9.9626 Tf 0 -24.099 Td [(T)90(ype:)]TJ +/F54 9.9626 Tf 0 -24.099 Td [(T)90(ype:)]TJ 0 g 0 G -/F54 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ +/F57 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ 0 g 0 G -/F51 9.9626 Tf -29.828 -22.835 Td [(On)-250(Entry)]TJ +/F54 9.9626 Tf -29.828 -22.835 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -22.834 Td [(nz)]TJ 0 g 0 G -/F54 9.9626 Tf 16.05 0 Td [(the)-250(number)-250(of)-250(coef)18(\002cients)-250(to)-250(be)-250(inserted.)]TJ 8.856 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 28.344 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -49.923 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 24 0 Td [(required)]TJ/F54 9.9626 Tf 39.293 0 Td [(.)]TJ -63.293 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(in)]TJ/F54 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(scalar)74(.)]TJ +/F57 9.9626 Tf 16.05 0 Td [(the)-250(number)-250(of)-250(coef)18(\002cients)-250(to)-250(be)-250(inserted.)]TJ 8.856 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 28.344 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ -49.923 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 24 0 Td [(required)]TJ/F57 9.9626 Tf 39.293 0 Td [(.)]TJ -63.293 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(in)]TJ/F57 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(scalar)74(.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.906 -22.834 Td [(nr)]TJ +/F54 9.9626 Tf -24.906 -22.834 Td [(nr)]TJ 0 g 0 G -/F54 9.9626 Tf 14.944 0 Td [(the)-250(number)-250(of)-250(r)18(ows)-250(to)-250(be)-250(inserted.)]TJ 9.962 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 28.344 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -49.923 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 24 0 Td [(required)]TJ/F54 9.9626 Tf 39.293 0 Td [(.)]TJ -63.293 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(in)]TJ/F54 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(scalar)74(.)]TJ +/F57 9.9626 Tf 14.944 0 Td [(the)-250(number)-250(of)-250(r)18(ows)-250(to)-250(be)-250(inserted.)]TJ 9.962 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 28.344 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ -49.923 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 24 0 Td [(required)]TJ/F57 9.9626 Tf 39.293 0 Td [(.)]TJ -63.293 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(in)]TJ/F57 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(scalar)74(.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.906 -22.834 Td [(irw)]TJ +/F54 9.9626 Tf -24.906 -22.834 Td [(irw)]TJ 0 g 0 G -/F54 9.9626 Tf 20.473 0 Td [(the)-250(\002rst)-250(r)18(ow)-250(to)-250(be)-250(inserted.)]TJ 4.433 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 28.344 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -49.923 -11.956 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 24 0 Td [(required)]TJ/F54 9.9626 Tf 39.293 0 Td [(.)]TJ -63.293 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(in)]TJ/F54 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(scalar)74(.)]TJ +/F57 9.9626 Tf 20.473 0 Td [(the)-250(\002rst)-250(r)18(ow)-250(to)-250(be)-250(inserted.)]TJ 4.433 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 28.344 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ -49.923 -11.956 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 24 0 Td [(required)]TJ/F57 9.9626 Tf 39.293 0 Td [(.)]TJ -63.293 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(in)]TJ/F57 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(scalar)74(.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.906 -22.834 Td [(ia)]TJ +/F54 9.9626 Tf -24.906 -22.834 Td [(ia)]TJ 0 g 0 G -/F54 9.9626 Tf 13.28 0 Td [(the)-250(r)18(ow)-250(indices)-250(of)-250(the)-250(coef)18(\002cients)-250(to)-250(be)-250(inserted.)]TJ 11.626 -11.956 Td [(Scope:)]TJ/F51 9.9626 Tf 28.344 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -49.923 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 24 0 Td [(required)]TJ/F54 9.9626 Tf 39.293 0 Td [(.)]TJ -63.293 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(in)]TJ/F54 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(array)-250(of)-250(size)]TJ/F52 9.9626 Tf 160.801 0 Td [(n)-25(z)]TJ/F54 9.9626 Tf 10.336 0 Td [(.)]TJ +/F57 9.9626 Tf 13.28 0 Td [(the)-250(r)18(ow)-250(indices)-250(of)-250(the)-250(coef)18(\002cients)-250(to)-250(be)-250(inserted.)]TJ 11.626 -11.956 Td [(Scope:)]TJ/F54 9.9626 Tf 28.344 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ -49.923 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 24 0 Td [(required)]TJ/F57 9.9626 Tf 39.293 0 Td [(.)]TJ -63.293 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(in)]TJ/F57 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(array)-250(of)-250(size)]TJ/F55 9.9626 Tf 160.801 0 Td [(n)-25(z)]TJ/F57 9.9626 Tf 10.336 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -196.043 -22.834 Td [(irp)]TJ +/F54 9.9626 Tf -196.043 -22.834 Td [(irp)]TJ 0 g 0 G -/F54 9.9626 Tf 18.261 0 Td [(the)-250(r)18(ow)-250(pointers)-250(of)-250(the)-250(coef)18(\002cients)-250(to)-250(be)-250(inserted.)]TJ 6.645 -11.956 Td [(Scope:)]TJ/F51 9.9626 Tf 28.344 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -49.923 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 24 0 Td [(required)]TJ/F54 9.9626 Tf 39.293 0 Td [(.)]TJ -63.293 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(in)]TJ/F54 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(array)-250(of)-250(size)]TJ/F52 9.9626 Tf 160.801 0 Td [(n)-15(r)]TJ/F85 10.3811 Tf 11.85 0 Td [(+)]TJ/F54 9.9626 Tf 10.131 0 Td [(1.)]TJ +/F57 9.9626 Tf 18.261 0 Td [(the)-250(r)18(ow)-250(pointers)-250(of)-250(the)-250(coef)18(\002cients)-250(to)-250(be)-250(inserted.)]TJ 6.645 -11.956 Td [(Scope:)]TJ/F54 9.9626 Tf 28.344 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ -49.923 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 24 0 Td [(required)]TJ/F57 9.9626 Tf 39.293 0 Td [(.)]TJ -63.293 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(in)]TJ/F57 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(array)-250(of)-250(size)]TJ/F55 9.9626 Tf 160.801 0 Td [(n)-15(r)]TJ/F88 10.3811 Tf 11.85 0 Td [(+)]TJ/F57 9.9626 Tf 10.131 0 Td [(1.)]TJ 0 g 0 G -/F51 9.9626 Tf -207.688 -22.835 Td [(ja)]TJ +/F54 9.9626 Tf -207.688 -22.835 Td [(ja)]TJ 0 g 0 G -/F54 9.9626 Tf 13.28 0 Td [(the)-250(column)-250(indices)-250(of)-250(the)-250(coef)18(\002cients)-250(to)-250(be)-250(inserted.)]TJ 11.626 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 28.344 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -49.923 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 24 0 Td [(required)]TJ/F54 9.9626 Tf 39.293 0 Td [(.)]TJ -63.293 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(in)]TJ/F54 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(array)-250(of)-250(size)]TJ/F52 9.9626 Tf 160.801 0 Td [(n)-25(z)]TJ/F54 9.9626 Tf 10.336 0 Td [(.)]TJ +/F57 9.9626 Tf 13.28 0 Td [(the)-250(column)-250(indices)-250(of)-250(the)-250(coef)18(\002cients)-250(to)-250(be)-250(inserted.)]TJ 11.626 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 28.344 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ -49.923 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 24 0 Td [(required)]TJ/F57 9.9626 Tf 39.293 0 Td [(.)]TJ -63.293 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(in)]TJ/F57 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(array)-250(of)-250(size)]TJ/F55 9.9626 Tf 160.801 0 Td [(n)-25(z)]TJ/F57 9.9626 Tf 10.336 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -196.043 -22.835 Td [(val)]TJ +/F54 9.9626 Tf -196.043 -22.835 Td [(val)]TJ 0 g 0 G -/F54 9.9626 Tf 18.819 0 Td [(the)-250(coef)18(\002cients)-250(to)-250(be)-250(inserted.)]TJ 6.087 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 28.344 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -49.923 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 24 0 Td [(required)]TJ/F54 9.9626 Tf 39.293 0 Td [(.)]TJ -63.293 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(in)]TJ/F54 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-315(as:)-439(an)-315(array)-314(of)-315(size)]TJ/F52 9.9626 Tf 131.854 0 Td [(n)-25(z)]TJ/F54 9.9626 Tf 10.336 0 Td [(.)-504(Must)-314(be)-315(of)-315(the)-314(same)-315(type)-315(and)-314(kind)-315(of)]TJ -142.19 -11.956 Td [(the)-250(coef)18(\002cients)-250(of)-250(the)-250(sparse)-250(matrix)]TJ/F52 9.9626 Tf 157.901 0 Td [(a)]TJ/F54 9.9626 Tf 4.548 0 Td [(.)]TJ +/F57 9.9626 Tf 18.819 0 Td [(the)-250(coef)18(\002cients)-250(to)-250(be)-250(inserted.)]TJ 6.087 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 28.344 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ -49.923 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 24 0 Td [(required)]TJ/F57 9.9626 Tf 39.293 0 Td [(.)]TJ -63.293 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(in)]TJ/F57 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-315(as:)-439(an)-315(array)-314(of)-315(size)]TJ/F55 9.9626 Tf 131.854 0 Td [(n)-25(z)]TJ/F57 9.9626 Tf 10.336 0 Td [(.)-504(Must)-314(be)-315(of)-315(the)-314(same)-315(type)-315(and)-314(kind)-315(of)]TJ -142.19 -11.956 Td [(the)-250(coef)18(\002cients)-250(of)-250(the)-250(sparse)-250(matrix)]TJ/F55 9.9626 Tf 157.901 0 Td [(a)]TJ/F57 9.9626 Tf 4.548 0 Td [(.)]TJ 0 g 0 G -20.481 -29.887 Td [(82)]TJ 0 g 0 G @@ -17141,98 +17141,98 @@ stream 0 g 0 G 0 g 0 G BT -/F51 9.9626 Tf 99.895 706.129 Td [(desc)]TJ +/F54 9.9626 Tf 99.895 706.129 Td [(desc)]TJ ET q 1 0 0 1 120.408 706.328 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 123.397 706.129 Td [(a)]TJ +/F54 9.9626 Tf 123.397 706.129 Td [(a)]TJ 0 g 0 G -/F54 9.9626 Tf 9.963 0 Td [(The)-250(communication)-250(descriptor)74(.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -53.011 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf 39.292 0 Td [(.)]TJ -66.38 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(inout)]TJ/F54 9.9626 Tf 24.349 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(variable)-250(of)-250(type)]TJ +/F57 9.9626 Tf 9.963 0 Td [(The)-250(communication)-250(descriptor)74(.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ -53.011 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf 39.292 0 Td [(.)]TJ -66.38 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(inout)]TJ/F57 9.9626 Tf 24.349 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(variable)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 136.327 0 Td [(psb)]TJ +/F62 9.9626 Tf 136.327 0 Td [(psb)]TJ ET q 1 0 0 1 277.448 658.507 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 280.586 658.308 Td [(desc)]TJ +/F62 9.9626 Tf 280.586 658.308 Td [(desc)]TJ ET q 1 0 0 1 302.135 658.507 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 305.273 658.308 Td [(type)]TJ +/F62 9.9626 Tf 305.273 658.308 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf 20.922 0 Td [(.)]TJ +/F57 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -226.3 -31.349 Td [(local)]TJ +/F54 9.9626 Tf -226.3 -31.349 Td [(local)]TJ 0 g 0 G -/F54 9.9626 Tf 26.561 0 Td [(Whether)-207(the)-207(entries)-207(in)-207(the)-208(indices)-207(vectors)]TJ/F59 9.9626 Tf 181.486 0 Td [(ia)]TJ/F54 9.9626 Tf 10.461 0 Td [(,)]TJ/F59 9.9626 Tf 4.64 0 Td [(ja)]TJ/F54 9.9626 Tf 12.524 0 Td [(ar)18(e)-207(alr)18(eady)-207(in)-207(local)-208(num-)]TJ -210.765 -11.955 Td [(bering.)]TJ 0 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 28.343 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -49.922 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 24 0 Td [(optional)]TJ/F54 9.9626 Tf 38.186 0 Td [(.)]TJ -62.186 -11.956 Td [(Speci\002ed)-250(as:)-310(a)-250(logical)-250(value;)-250(default:)]TJ/F59 9.9626 Tf 162.678 0 Td [(.false.)]TJ/F54 9.9626 Tf 36.612 0 Td [(.)]TJ +/F57 9.9626 Tf 26.561 0 Td [(Whether)-207(the)-207(entries)-207(in)-207(the)-208(indices)-207(vectors)]TJ/F62 9.9626 Tf 181.486 0 Td [(ia)]TJ/F57 9.9626 Tf 10.461 0 Td [(,)]TJ/F62 9.9626 Tf 4.64 0 Td [(ja)]TJ/F57 9.9626 Tf 12.524 0 Td [(ar)18(e)-207(alr)18(eady)-207(in)-207(local)-208(num-)]TJ -210.765 -11.955 Td [(bering.)]TJ 0 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 28.343 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ -49.922 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 24 0 Td [(optional)]TJ/F57 9.9626 Tf 38.186 0 Td [(.)]TJ -62.186 -11.956 Td [(Speci\002ed)-250(as:)-310(a)-250(logical)-250(value;)-250(default:)]TJ/F62 9.9626 Tf 162.678 0 Td [(.false.)]TJ/F57 9.9626 Tf 36.612 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -224.197 -20.589 Td [(On)-250(Return)]TJ +/F54 9.9626 Tf -224.197 -20.589 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -19.394 Td [(a)]TJ 0 g 0 G -/F54 9.9626 Tf 9.963 0 Td [(the)-250(matrix)-250(into)-250(which)-250(coef)18(\002cients)-250(will)-250(be)-250(inserted.)]TJ 14.944 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 28.343 0 Td [(local)]TJ/F54 9.9626 Tf -28.343 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 24 0 Td [(required)]TJ/F54 9.9626 Tf -24 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(inout)]TJ/F54 9.9626 Tf 24.349 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ +/F57 9.9626 Tf 9.963 0 Td [(the)-250(matrix)-250(into)-250(which)-250(coef)18(\002cients)-250(will)-250(be)-250(inserted.)]TJ 14.944 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 28.343 0 Td [(local)]TJ/F57 9.9626 Tf -28.343 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 24 0 Td [(required)]TJ/F57 9.9626 Tf -24 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(inout)]TJ/F57 9.9626 Tf 24.349 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 168.138 0 Td [(psb)]TJ +/F62 9.9626 Tf 168.138 0 Td [(psb)]TJ ET q 1 0 0 1 309.258 491.534 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 312.397 491.334 Td [(Tspmat)]TJ +/F62 9.9626 Tf 312.397 491.334 Td [(Tspmat)]TJ ET q 1 0 0 1 344.406 491.534 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 347.544 491.334 Td [(type)]TJ +/F62 9.9626 Tf 347.544 491.334 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf 20.922 0 Td [(.)]TJ +/F57 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -268.571 -19.394 Td [(desc)]TJ +/F54 9.9626 Tf -268.571 -19.394 Td [(desc)]TJ ET q 1 0 0 1 120.408 472.14 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 123.397 471.94 Td [(a)]TJ +/F54 9.9626 Tf 123.397 471.94 Td [(a)]TJ 0 g 0 G -/F54 9.9626 Tf 9.963 0 Td [(The)-250(communication)-250(descriptor)74(.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -53.011 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf 39.292 0 Td [(.)]TJ -66.38 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(inout)]TJ/F54 9.9626 Tf 24.349 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(variable)-250(of)-250(type)]TJ +/F57 9.9626 Tf 9.963 0 Td [(The)-250(communication)-250(descriptor)74(.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ -53.011 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf 39.292 0 Td [(.)]TJ -66.38 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(inout)]TJ/F57 9.9626 Tf 24.349 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(variable)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 136.327 0 Td [(psb)]TJ +/F62 9.9626 Tf 136.327 0 Td [(psb)]TJ ET q 1 0 0 1 277.448 424.319 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 280.586 424.12 Td [(desc)]TJ +/F62 9.9626 Tf 280.586 424.12 Td [(desc)]TJ ET q 1 0 0 1 302.135 424.319 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 305.273 424.12 Td [(type)]TJ +/F62 9.9626 Tf 305.273 424.12 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf 20.922 0 Td [(.)]TJ +/F57 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -226.3 -31.349 Td [(info)]TJ +/F54 9.9626 Tf -226.3 -31.349 Td [(info)]TJ 0 g 0 G -/F54 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.956 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ/F51 11.9552 Tf -24.907 -20.59 Td [(Notes)]TJ +/F57 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.956 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(out)]TJ/F57 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ/F54 11.9552 Tf -24.907 -20.59 Td [(Notes)]TJ 0 g 0 G -/F54 9.9626 Tf 12.454 -18.862 Td [(1.)]TJ +/F57 9.9626 Tf 12.454 -18.862 Td [(1.)]TJ 0 g 0 G [-500(On)-312(entry)-312(to)-312(this)-311(r)18(outine)-312(the)-312(descriptor)-312(may)-312(be)-312(in)-312(either)-312(t)1(he)-312(build)-312(or)-312(as-)]TJ 12.453 -11.955 Td [(sembled)-250(state.)]TJ 0 g 0 G @@ -17242,7 +17242,7 @@ BT 0 g 0 G -12.453 -19.394 Td [(3.)]TJ 0 g 0 G - [-500(If)-263(the)-263(descriptor)-263(is)-262(in)-263(the)-263(build)-263(state,)-266(then)-263(the)-263(sparse)-263(matrix)-262(must)-263(also)-263(be)]TJ 12.453 -11.955 Td [(in)-212(the)-212(build)-213(state;)-224(the)-213(action)-212(of)-212(the)-212(r)18(outine)-212(is)-213(to)-212(\050implicitly\051)-212(call)]TJ/F59 9.9626 Tf 271.731 0 Td [(psb_cdins)]TJ/F54 9.9626 Tf -271.731 -11.956 Td [(to)-259(add)-259(entries)-259(to)-259(the)-259(sparsity)-259(pattern;)-263(each)-259(sparse)-259(matrix)-259(entry)-259(implicitly)]TJ 0 -11.955 Td [(de\002nes)-288(a)-288(graph)-288(edge,)-297(that)-288(is)-288(passed)-288(to)-288(the)-288(descriptor)-288(r)18(outine)-288(for)-288(the)-288(ap-)]TJ 0 -11.955 Td [(pr)18(opriate)-250(pr)18(ocessing;)]TJ + [-500(If)-263(the)-263(descriptor)-263(is)-262(in)-263(the)-263(build)-263(state,)-266(then)-263(the)-263(sparse)-263(matrix)-262(must)-263(also)-263(be)]TJ 12.453 -11.955 Td [(in)-212(the)-212(build)-213(state;)-224(the)-213(action)-212(of)-212(the)-212(r)18(outine)-212(is)-213(to)-212(\050implicitly\051)-212(call)]TJ/F62 9.9626 Tf 271.731 0 Td [(psb_cdins)]TJ/F57 9.9626 Tf -271.731 -11.956 Td [(to)-259(add)-259(entries)-259(to)-259(the)-259(sparsity)-259(pattern;)-263(each)-259(sparse)-259(matrix)-259(entry)-259(implicitly)]TJ 0 -11.955 Td [(de\002nes)-288(a)-288(graph)-288(edge,)-297(that)-288(is)-288(passed)-288(to)-288(the)-288(descriptor)-288(r)18(outine)-288(for)-288(the)-288(ap-)]TJ 0 -11.955 Td [(pr)18(opriate)-250(pr)18(ocessing;)]TJ 0 g 0 G -12.453 -19.394 Td [(4.)]TJ 0 g 0 G @@ -17250,7 +17250,7 @@ BT 0 g 0 G 0 -19.394 Td [(5.)]TJ 0 g 0 G - [-500(In)-307(COO)-307(format)-307(t)1(he)-307(coef)18(\002cients)-307(to)-307(be)-307(inserted)-307(ar)18(e)-307(r)18(epr)18(esented)-306(by)-307(the)-307(or)18(-)]TJ 12.453 -11.955 Td [(der)18(ed)-304(triples)]TJ/F52 9.9626 Tf 59.554 0 Td [(i)-47(a)]TJ/F85 10.3811 Tf 7.91 0 Td [(\050)]TJ/F52 9.9626 Tf 4.204 0 Td [(i)]TJ/F85 10.3811 Tf 3.088 0 Td [(\051)]TJ/F54 9.9626 Tf 4.15 0 Td [(,)]TJ/F52 9.9626 Tf 4.624 0 Td [(j)-40(a)]TJ/F85 10.3811 Tf 7.841 0 Td [(\050)]TJ/F52 9.9626 Tf 4.204 0 Td [(i)]TJ/F85 10.3811 Tf 3.088 0 Td [(\051)]TJ/F54 9.9626 Tf 4.15 0 Td [(,)]TJ/F52 9.9626 Tf 4.275 0 Td [(v)-40(a)-25(l)]TJ/F85 10.3811 Tf 13.37 0 Td [(\050)]TJ/F52 9.9626 Tf 4.204 0 Td [(i)]TJ/F85 10.3811 Tf 3.088 0 Td [(\051)]TJ/F54 9.9626 Tf 4.15 0 Td [(,)-318(for)]TJ/F52 9.9626 Tf 21.432 0 Td [(i)]TJ/F85 10.3811 Tf 6.855 0 Td [(=)]TJ/F54 9.9626 Tf 11.96 0 Td [(1,)-179(.)-192(.)-191(.)-180(,)]TJ/F52 9.9626 Tf 26.608 0 Td [(n)-25(z)]TJ/F54 9.9626 Tf 10.336 0 Td [(;)-331(these)-304(triples)-304(should)-305(be-)]TJ -209.091 -11.955 Td [(long)-321(to)-321(the)-321(curr)18(ent)-321(pr)18(ocess,)-338(i.e.)]TJ/F52 9.9626 Tf 143.515 0 Td [(i)-47(a)]TJ/F85 10.3811 Tf 7.91 0 Td [(\050)]TJ/F52 9.9626 Tf 4.205 0 Td [(i)]TJ/F85 10.3811 Tf 3.088 0 Td [(\051)]TJ/F54 9.9626 Tf 7.346 0 Td [(should)-321(be)-321(one)-321(of)-321(the)-321(local)-320(indices,)]TJ -166.064 -11.955 Td [(but)-250(ar)18(e)-250(otherwise)-250(arbitrary;)]TJ + [-500(In)-307(COO)-307(format)-307(t)1(he)-307(coef)18(\002cients)-307(to)-307(be)-307(inserted)-307(ar)18(e)-307(r)18(epr)18(esented)-306(by)-307(the)-307(or)18(-)]TJ 12.453 -11.955 Td [(der)18(ed)-304(triples)]TJ/F55 9.9626 Tf 59.554 0 Td [(i)-47(a)]TJ/F88 10.3811 Tf 7.91 0 Td [(\050)]TJ/F55 9.9626 Tf 4.204 0 Td [(i)]TJ/F88 10.3811 Tf 3.088 0 Td [(\051)]TJ/F57 9.9626 Tf 4.15 0 Td [(,)]TJ/F55 9.9626 Tf 4.624 0 Td [(j)-40(a)]TJ/F88 10.3811 Tf 7.841 0 Td [(\050)]TJ/F55 9.9626 Tf 4.204 0 Td [(i)]TJ/F88 10.3811 Tf 3.088 0 Td [(\051)]TJ/F57 9.9626 Tf 4.15 0 Td [(,)]TJ/F55 9.9626 Tf 4.275 0 Td [(v)-40(a)-25(l)]TJ/F88 10.3811 Tf 13.37 0 Td [(\050)]TJ/F55 9.9626 Tf 4.204 0 Td [(i)]TJ/F88 10.3811 Tf 3.088 0 Td [(\051)]TJ/F57 9.9626 Tf 4.15 0 Td [(,)-318(for)]TJ/F55 9.9626 Tf 21.432 0 Td [(i)]TJ/F88 10.3811 Tf 6.855 0 Td [(=)]TJ/F57 9.9626 Tf 11.96 0 Td [(1,)-179(.)-192(.)-191(.)-180(,)]TJ/F55 9.9626 Tf 26.608 0 Td [(n)-25(z)]TJ/F57 9.9626 Tf 10.336 0 Td [(;)-331(these)-304(triples)-304(should)-305(be-)]TJ -209.091 -11.955 Td [(long)-321(to)-321(the)-321(curr)18(ent)-321(pr)18(ocess,)-338(i.e.)]TJ/F55 9.9626 Tf 143.515 0 Td [(i)-47(a)]TJ/F88 10.3811 Tf 7.91 0 Td [(\050)]TJ/F55 9.9626 Tf 4.205 0 Td [(i)]TJ/F88 10.3811 Tf 3.088 0 Td [(\051)]TJ/F57 9.9626 Tf 7.346 0 Td [(should)-321(be)-321(one)-321(of)-321(the)-321(local)-320(indices,)]TJ -166.064 -11.955 Td [(but)-250(ar)18(e)-250(otherwise)-250(arbitrary;)]TJ 0 g 0 G 141.968 -29.888 Td [(83)]TJ 0 g 0 G @@ -17267,9 +17267,9 @@ stream 0 g 0 G 0 g 0 G BT -/F54 9.9626 Tf 163.158 706.129 Td [(6.)]TJ +/F57 9.9626 Tf 163.158 706.129 Td [(6.)]TJ 0 g 0 G - [-500(In)-272(CSR)-271(format)-272(the)-271(coef)18(\002cients)-272(to)-271(be)-272(inserted)-272(for)-271(each)-272(input)-271(r)18(ow)]TJ/F52 9.9626 Tf 294.599 0 Td [(i)]TJ/F85 10.3811 Tf 6.254 0 Td [(=)]TJ/F54 9.9626 Tf 11.36 0 Td [(1,)]TJ/F52 9.9626 Tf 9.257 0 Td [(n)-15(r)]TJ/F54 9.9626 Tf -309.016 -11.955 Td [(ar)18(e)-311(r)18(epr)18(esented)-312(by)-311(the)-311(or)18(der)18(ed)-312(triples)]TJ/F85 10.3811 Tf 171.689 0 Td [(\050)]TJ/F52 9.9626 Tf 4.204 0 Td [(i)]TJ/F85 10.3811 Tf 5.252 0 Td [(+)]TJ/F52 9.9626 Tf 10.412 0 Td [(i)-22(r)-35(w)]TJ/F83 10.3811 Tf 16.819 0 Td [(\000)]TJ/F54 9.9626 Tf 10.357 0 Td [(1)]TJ/F85 10.3811 Tf 5.106 0 Td [(\051)]TJ/F54 9.9626 Tf 4.149 0 Td [(,)]TJ/F52 9.9626 Tf 4.625 0 Td [(j)-40(a)]TJ/F85 10.3811 Tf 7.84 0 Td [(\050)]TJ/F52 9.9626 Tf 4.623 0 Td [(j)]TJ/F85 10.3811 Tf 3.018 0 Td [(\051)]TJ/F54 9.9626 Tf 4.15 0 Td [(,)]TJ/F52 9.9626 Tf 4.275 0 Td [(v)-40(a)-25(l)]TJ/F85 10.3811 Tf 13.37 0 Td [(\050)]TJ/F52 9.9626 Tf 4.623 0 Td [(j)]TJ/F85 10.3811 Tf 3.018 0 Td [(\051)]TJ/F54 9.9626 Tf 4.15 0 Td [(,)-327(for)]TJ/F52 9.9626 Tf 22.012 0 Td [(j)]TJ/F85 10.3811 Tf 6.918 0 Td [(=)]TJ/F52 9.9626 Tf -310.556 -11.955 Td [(i)-22(r)-90(p)]TJ/F85 10.3811 Tf 12.991 0 Td [(\050)]TJ/F52 9.9626 Tf 4.204 0 Td [(i)]TJ/F85 10.3811 Tf 3.089 0 Td [(\051)]TJ/F54 9.9626 Tf 4.149 0 Td [(,)-179(.)-192(.)-192(.)-179(,)]TJ/F52 9.9626 Tf 21.557 0 Td [(i)-22(r)-90(p)]TJ/F85 10.3811 Tf 12.991 0 Td [(\050)]TJ/F52 9.9626 Tf 4.205 0 Td [(i)]TJ/F85 10.3811 Tf 5.301 0 Td [(+)]TJ/F54 9.9626 Tf 10.406 0 Td [(1)]TJ/F85 10.3811 Tf 5.106 0 Td [(\051)]TJ/F83 10.3811 Tf 6.487 0 Td [(\000)]TJ/F54 9.9626 Tf 10.407 0 Td [(1;)-362(these)-325(triples)-324(should)-325(belong)-325(to)-324(the)-325(curr)18(ent)-324(pr)18(o-)]TJ -100.948 -11.956 Td [(cess,)-276(i.e.)]TJ/F52 9.9626 Tf 39.308 0 Td [(i)]TJ/F85 10.3811 Tf 5.102 0 Td [(+)]TJ/F52 9.9626 Tf 10.264 0 Td [(i)-22(r)-35(w)]TJ/F83 10.3811 Tf 16.669 0 Td [(\000)]TJ/F54 9.9626 Tf 10.208 0 Td [(1)-271(should)-271(be)-271(one)-271(of)-271(the)-271(local)-271(i)1(ndices,)-277(but)-271(ar)18(e)-271(ot)1(herwise)]TJ -81.551 -11.955 Td [(arbitrary;)]TJ + [-500(In)-272(CSR)-271(format)-272(the)-271(coef)18(\002cients)-272(to)-271(be)-272(inserted)-272(for)-271(each)-272(input)-271(r)18(ow)]TJ/F55 9.9626 Tf 294.599 0 Td [(i)]TJ/F88 10.3811 Tf 6.254 0 Td [(=)]TJ/F57 9.9626 Tf 11.36 0 Td [(1,)]TJ/F55 9.9626 Tf 9.257 0 Td [(n)-15(r)]TJ/F57 9.9626 Tf -309.016 -11.955 Td [(ar)18(e)-311(r)18(epr)18(esented)-312(by)-311(the)-311(or)18(der)18(ed)-312(triples)]TJ/F88 10.3811 Tf 171.689 0 Td [(\050)]TJ/F55 9.9626 Tf 4.204 0 Td [(i)]TJ/F88 10.3811 Tf 5.252 0 Td [(+)]TJ/F55 9.9626 Tf 10.412 0 Td [(i)-22(r)-35(w)]TJ/F86 10.3811 Tf 16.819 0 Td [(\000)]TJ/F57 9.9626 Tf 10.357 0 Td [(1)]TJ/F88 10.3811 Tf 5.106 0 Td [(\051)]TJ/F57 9.9626 Tf 4.149 0 Td [(,)]TJ/F55 9.9626 Tf 4.625 0 Td [(j)-40(a)]TJ/F88 10.3811 Tf 7.84 0 Td [(\050)]TJ/F55 9.9626 Tf 4.623 0 Td [(j)]TJ/F88 10.3811 Tf 3.018 0 Td [(\051)]TJ/F57 9.9626 Tf 4.15 0 Td [(,)]TJ/F55 9.9626 Tf 4.275 0 Td [(v)-40(a)-25(l)]TJ/F88 10.3811 Tf 13.37 0 Td [(\050)]TJ/F55 9.9626 Tf 4.623 0 Td [(j)]TJ/F88 10.3811 Tf 3.018 0 Td [(\051)]TJ/F57 9.9626 Tf 4.15 0 Td [(,)-327(for)]TJ/F55 9.9626 Tf 22.012 0 Td [(j)]TJ/F88 10.3811 Tf 6.918 0 Td [(=)]TJ/F55 9.9626 Tf -310.556 -11.955 Td [(i)-22(r)-90(p)]TJ/F88 10.3811 Tf 12.991 0 Td [(\050)]TJ/F55 9.9626 Tf 4.204 0 Td [(i)]TJ/F88 10.3811 Tf 3.089 0 Td [(\051)]TJ/F57 9.9626 Tf 4.149 0 Td [(,)-179(.)-192(.)-192(.)-179(,)]TJ/F55 9.9626 Tf 21.557 0 Td [(i)-22(r)-90(p)]TJ/F88 10.3811 Tf 12.991 0 Td [(\050)]TJ/F55 9.9626 Tf 4.205 0 Td [(i)]TJ/F88 10.3811 Tf 5.301 0 Td [(+)]TJ/F57 9.9626 Tf 10.406 0 Td [(1)]TJ/F88 10.3811 Tf 5.106 0 Td [(\051)]TJ/F86 10.3811 Tf 6.487 0 Td [(\000)]TJ/F57 9.9626 Tf 10.407 0 Td [(1;)-362(these)-325(triples)-324(should)-325(belong)-325(to)-324(the)-325(curr)18(ent)-324(pr)18(o-)]TJ -100.948 -11.956 Td [(cess,)-276(i.e.)]TJ/F55 9.9626 Tf 39.308 0 Td [(i)]TJ/F88 10.3811 Tf 5.102 0 Td [(+)]TJ/F55 9.9626 Tf 10.264 0 Td [(i)-22(r)-35(w)]TJ/F86 10.3811 Tf 16.669 0 Td [(\000)]TJ/F57 9.9626 Tf 10.208 0 Td [(1)-271(should)-271(be)-271(one)-271(of)-271(the)-271(local)-271(i)1(ndices,)-277(but)-271(ar)18(e)-271(ot)1(herwise)]TJ -81.551 -11.955 Td [(arbitrary;)]TJ 0 g 0 G -12.453 -19.925 Td [(7.)]TJ 0 g 0 G @@ -17305,23 +17305,23 @@ stream 0 g 0 G 0 g 0 G BT -/F51 11.9552 Tf 99.895 706.129 Td [(6.9)-1000(psb)]TJ +/F54 11.9552 Tf 99.895 706.129 Td [(6.9)-1000(psb)]TJ ET q 1 0 0 1 147.429 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F51 11.9552 Tf 151.016 706.129 Td [(spasb)-250(\227)-250(Sparse)-250(matrix)-250(assembly)-250(routine)]TJ +/F54 11.9552 Tf 151.016 706.129 Td [(spasb)-250(\227)-250(Sparse)-250(matrix)-250(assembly)-250(routine)]TJ 0 g 0 G 0 g 0 G -/F59 9.9626 Tf -51.121 -18.964 Td [(call)-525(psb_spasb\050a,)-525(desc_a,)-525(info,)-525(afmt,)-525(upd,)-525(dupl,)-525(mold\051)]TJ +/F62 9.9626 Tf -51.121 -18.964 Td [(call)-525(psb_spasb\050a,)-525(desc_a,)-525(info,)-525(afmt,)-525(upd,)-525(dupl,)-525(mold\051)]TJ 0 g 0 G -/F51 9.9626 Tf 0 -20.57 Td [(T)90(ype:)]TJ +/F54 9.9626 Tf 0 -20.57 Td [(T)90(ype:)]TJ 0 g 0 G -/F54 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ +/F57 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ 0 g 0 G -/F51 9.9626 Tf -29.828 -19.386 Td 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[(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ +/F57 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(out)]TJ/F57 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ 0 g 0 G 141.968 -329.728 Td [(87)]TJ 0 g 0 G @@ -18182,88 +18182,88 @@ stream 0 g 0 G 0 g 0 G BT -/F51 11.9552 Tf 150.705 706.129 Td [(6.11)-1000(psb)]TJ +/F54 11.9552 Tf 150.705 706.129 Td [(6.11)-1000(psb)]TJ ET q 1 0 0 1 204.216 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F51 11.9552 Tf 207.803 706.129 Td [(sprn)-254(\227)-255(Reinit)-254(sparse)-254(matrix)-255(structure)-254(for)-255(psblas)-254(rou-)]TJ -24.221 -13.948 Td [(tines.)]TJ +/F54 11.9552 Tf 207.803 706.129 Td [(sprn)-254(\227)-255(Reinit)-254(sparse)-254(matrix)-255(structure)-254(for)-255(psblas)-254(rou-)]TJ -24.221 -13.948 Td [(tines.)]TJ 0 g 0 G 0 g 0 G -/F59 9.9626 Tf -32.877 -18.964 Td [(call)-525(psb_sprn\050a,)-525(decsc_a,)-525(info,)-525(clear\051)]TJ +/F62 9.9626 Tf -32.877 -18.964 Td [(call)-525(psb_sprn\050a,)-525(decsc_a,)-525(info,)-525(clear\051)]TJ 0 g 0 G -/F51 9.9626 Tf 0 -21.917 Td [(T)90(ype:)]TJ +/F54 9.9626 Tf 0 -21.917 Td [(T)90(ype:)]TJ 0 g 0 G -/F54 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ +/F57 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ 0 g 0 G -/F51 9.9626 Tf -29.828 -19.926 Td [(On)-250(Entry)]TJ +/F54 9.9626 Tf -29.828 -19.926 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -19.925 Td [(a)]TJ 0 g 0 G -/F54 9.9626 Tf 9.963 0 Td [(the)-250(matrix)-250(to)-250(be)-250(r)18(einitialized.)]TJ 14.944 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 28.343 0 Td [(local)]TJ/F54 9.9626 Tf -28.343 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 23.999 0 Td [(required)]TJ/F54 9.9626 Tf -23.999 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(inout)]TJ/F54 9.9626 Tf 24.348 0 Td [(.)]TJ -56.148 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ +/F57 9.9626 Tf 9.963 0 Td [(the)-250(matrix)-250(to)-250(be)-250(r)18(einitialized.)]TJ 14.944 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 28.343 0 Td [(local)]TJ/F57 9.9626 Tf -28.343 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 23.999 0 Td [(required)]TJ/F57 9.9626 Tf -23.999 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(inout)]TJ/F57 9.9626 Tf 24.348 0 Td [(.)]TJ -56.148 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 168.137 0 Td [(psb)]TJ +/F62 9.9626 Tf 168.137 0 Td [(psb)]TJ ET q 1 0 0 1 360.068 563.828 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 363.206 563.628 Td [(Tspmat)]TJ +/F62 9.9626 Tf 363.206 563.628 Td [(Tspmat)]TJ ET q 1 0 0 1 395.216 563.828 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 398.354 563.628 Td [(type)]TJ +/F62 9.9626 Tf 398.354 563.628 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf 20.921 0 Td [(.)]TJ +/F57 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -268.57 -19.925 Td [(desc)]TJ +/F54 9.9626 Tf -268.57 -19.925 Td [(desc)]TJ ET q 1 0 0 1 171.218 543.902 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 174.207 543.703 Td [(a)]TJ +/F54 9.9626 Tf 174.207 543.703 Td [(a)]TJ 0 g 0 G -/F54 9.9626 Tf 9.962 0 Td [(the)-250(communication)-250(descriptor)74(.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 28.344 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -49.923 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 24 0 Td [(required)]TJ/F54 9.9626 Tf 39.293 0 Td [(.)]TJ -63.293 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(in)]TJ/F54 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.956 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ +/F57 9.9626 Tf 9.962 0 Td [(the)-250(communication)-250(descriptor)74(.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 28.344 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ -49.923 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 24 0 Td [(required)]TJ/F57 9.9626 Tf 39.293 0 Td [(.)]TJ -63.293 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(in)]TJ/F57 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.956 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 168.138 0 Td [(psb)]TJ +/F62 9.9626 Tf 168.138 0 Td [(psb)]TJ ET q 1 0 0 1 360.068 496.082 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 363.206 495.882 Td [(desc)]TJ +/F62 9.9626 Tf 363.206 495.882 Td [(desc)]TJ ET q 1 0 0 1 384.755 496.082 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 387.893 495.882 Td [(type)]TJ +/F62 9.9626 Tf 387.893 495.882 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf 20.922 0 Td [(.)]TJ +/F57 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -258.11 -19.925 Td [(clear)]TJ +/F54 9.9626 Tf -258.11 -19.925 Td [(clear)]TJ 0 g 0 G -/F54 9.9626 Tf 26.56 0 Td [(Choose)-250(whether)-250(to)-250(zer)18(o)-250(out)-250(matrix)-250(coef)18(\002cients)]TJ -1.654 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 28.344 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -49.923 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 24 0 Td [(optional)]TJ/F54 9.9626 Tf 38.187 0 Td [(.)]TJ -62.187 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(in)]TJ/F54 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.956 Td [(Default:)-310(tr)8(ue.)]TJ +/F57 9.9626 Tf 26.56 0 Td [(Choose)-250(whether)-250(to)-250(zer)18(o)-250(out)-250(matrix)-250(coef)18(\002cients)]TJ -1.654 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 28.344 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ -49.923 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 24 0 Td [(optional)]TJ/F57 9.9626 Tf 38.187 0 Td [(.)]TJ -62.187 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(in)]TJ/F57 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.956 Td [(Default:)-310(tr)8(ue.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.906 -21.917 Td [(On)-250(Return)]TJ +/F54 9.9626 Tf -24.906 -21.917 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -19.926 Td [(info)]TJ 0 g 0 G -/F54 9.9626 Tf 23.8 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(required)]TJ/F54 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.745 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ/F51 11.9552 Tf -24.906 -21.918 Td [(Notes)]TJ +/F57 9.9626 Tf 23.8 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.089 0 Td [(required)]TJ/F57 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(out)]TJ/F57 9.9626 Tf 14.944 0 Td [(.)]TJ -46.745 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ/F54 11.9552 Tf -24.906 -21.918 Td [(Notes)]TJ 0 g 0 G -/F54 9.9626 Tf 12.453 -19.925 Td [(1.)]TJ +/F57 9.9626 Tf 12.453 -19.925 Td [(1.)]TJ 0 g 0 G [-500(On)-250(exit)-250(fr)18(om)-250(this)-250(r)18(outine)-250(the)-250(sparse)-250(matrix)-250(is)-250(in)-250(the)-250(update)-250(state.)]TJ 0 g 0 G @@ -18281,23 +18281,23 @@ stream 0 g 0 G 0 g 0 G BT -/F51 11.9552 Tf 99.895 706.129 Td [(6.12)-1000(psb)]TJ +/F54 11.9552 Tf 99.895 706.129 Td [(6.12)-1000(psb)]TJ ET q 1 0 0 1 153.407 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F51 11.9552 Tf 156.993 706.129 Td [(geall)-250(\227)-250(Allocates)-250(a)-250(dense)-250(matrix)]TJ +/F54 11.9552 Tf 156.993 706.129 Td [(geall)-250(\227)-250(Allocates)-250(a)-250(dense)-250(matrix)]TJ 0 g 0 G 0 g 0 G -/F59 9.9626 Tf -57.098 -18.964 Td [(call)-525(psb_geall\050x,)-525(desc_a,)-525(info,)-525(n,)-525(lb\051)]TJ +/F62 9.9626 Tf -57.098 -18.964 Td [(call)-525(psb_geall\050x,)-525(desc_a,)-525(info,)-525(n,)-525(lb\051)]TJ 0 g 0 G -/F51 9.9626 Tf 0 -21.918 Td [(T)90(ype:)]TJ +/F54 9.9626 Tf 0 -21.918 Td [(T)90(ype:)]TJ 0 g 0 G -/F54 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ +/F57 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ 0 g 0 G -/F51 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ +/F54 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -19.925 Td [(desc)]TJ @@ -18307,71 +18307,71 @@ q []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 123.397 625.397 Td [(a)]TJ +/F54 9.9626 Tf 123.397 625.397 Td [(a)]TJ 0 g 0 G -/F54 9.9626 Tf 9.963 0 Td [(The)-250(communication)-250(descriptor)74(.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.956 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(variable)-250(of)-250(type)]TJ +/F57 9.9626 Tf 9.963 0 Td [(The)-250(communication)-250(descriptor)74(.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.956 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(variable)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 136.327 0 Td [(psb)]TJ +/F62 9.9626 Tf 136.327 0 Td [(psb)]TJ ET q 1 0 0 1 277.448 577.775 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 280.586 577.576 Td [(desc)]TJ +/F62 9.9626 Tf 280.586 577.576 Td [(desc)]TJ ET q 1 0 0 1 302.135 577.775 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 305.273 577.576 Td [(type)]TJ +/F62 9.9626 Tf 305.273 577.576 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf 20.922 0 Td [(.)]TJ +/F57 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -226.3 -31.88 Td [(n)]TJ +/F54 9.9626 Tf -226.3 -31.88 Td [(n)]TJ 0 g 0 G -/F54 9.9626 Tf 11.069 0 Td [(The)-250(number)-250(of)-250(columns)-250(of)-250(the)-250(dense)-250(matrix)-250(to)-250(be)-250(allocated.)]TJ 13.838 -11.956 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(optional)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-297(as:)-404(Integer)-297(scalar)74(,)-309(default)-296(1.)-451(It)-297(is)-297(not)-297(a)-297(valid)-297(ar)18(gument)-297(if)]TJ/F52 9.9626 Tf 295.577 0 Td [(x)]TJ/F54 9.9626 Tf 8.164 0 Td [(is)-297(a)]TJ -303.741 -11.955 Td [(rank-1)-250(array)111(.)]TJ +/F57 9.9626 Tf 11.069 0 Td [(The)-250(number)-250(of)-250(columns)-250(of)-250(the)-250(dense)-250(matrix)-250(to)-250(be)-250(allocated.)]TJ 13.838 -11.956 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(optional)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-297(as:)-404(Integer)-297(scalar)74(,)-309(default)-296(1.)-451(It)-297(is)-297(not)-297(a)-297(valid)-297(ar)18(gument)-297(if)]TJ/F55 9.9626 Tf 295.577 0 Td [(x)]TJ/F57 9.9626 Tf 8.164 0 Td [(is)-297(a)]TJ -303.741 -11.955 Td [(rank-1)-250(array)111(.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.907 -19.926 Td [(lb)]TJ +/F54 9.9626 Tf -24.907 -19.926 Td [(lb)]TJ 0 g 0 G -/F54 9.9626 Tf 14.386 0 Td [(The)-237(lower)-238(bound)-237(for)-238(the)-237(column)-238(index)-237(range)-238(of)-237(the)-237(dense)-238(matrix)-237(to)-238(be)-237(allo-)]TJ 10.521 -11.955 Td [(cated.)]TJ 0 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(optional)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-297(as:)-404(Integer)-297(scalar)74(,)-309(default)-296(1.)-451(It)-297(is)-297(not)-297(a)-297(valid)-297(ar)18(gument)-297(if)]TJ/F52 9.9626 Tf 295.577 0 Td [(x)]TJ/F54 9.9626 Tf 8.164 0 Td [(is)-297(a)]TJ -303.741 -11.956 Td [(rank-1)-250(array)111(.)]TJ +/F57 9.9626 Tf 14.386 0 Td [(The)-237(lower)-238(bound)-237(for)-238(the)-237(column)-238(index)-237(range)-238(of)-237(the)-237(dense)-238(matrix)-237(to)-238(be)-237(allo-)]TJ 10.521 -11.955 Td [(cated.)]TJ 0 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(optional)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-297(as:)-404(Integer)-297(scalar)74(,)-309(default)-296(1.)-451(It)-297(is)-297(not)-297(a)-297(valid)-297(ar)18(gument)-297(if)]TJ/F55 9.9626 Tf 295.577 0 Td [(x)]TJ/F57 9.9626 Tf 8.164 0 Td [(is)-297(a)]TJ -303.741 -11.956 Td [(rank-1)-250(array)111(.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.907 -21.917 Td [(On)-250(Return)]TJ +/F54 9.9626 Tf -24.907 -21.917 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -19.926 Td [(x)]TJ 0 g 0 G -/F54 9.9626 Tf 9.963 0 Td [(The)-250(dense)-250(matrix)-250(to)-250(be)-250(allocated.)]TJ 14.944 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(Speci\002ed)-273(as:)-357(a)-273(rank)-274(one)-273(or)-273(two)-274(array)-273(with)-274(the)-273(ALLOCA)74(T)74(ABLE)-273(attribute)]TJ 0 -11.956 Td [(or)-250(an)-250(object)-250(of)-250(type)]TJ +/F57 9.9626 Tf 9.963 0 Td [(The)-250(dense)-250(matrix)-250(to)-250(be)-250(allocated.)]TJ 14.944 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(out)]TJ/F57 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(Speci\002ed)-273(as:)-357(a)-273(rank)-274(one)-273(or)-273(two)-274(array)-273(with)-274(the)-273(ALLOCA)74(T)74(ABLE)-273(attribute)]TJ 0 -11.956 Td [(or)-250(an)-250(object)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 86.634 0 Td [(psb)]TJ +/F62 9.9626 Tf 86.634 0 Td [(psb)]TJ ET q 1 0 0 1 227.755 292.844 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 230.893 292.645 Td [(T)]TJ +/F62 9.9626 Tf 230.893 292.645 Td [(T)]TJ ET q 1 0 0 1 236.751 292.844 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 239.889 292.645 Td [(vect)]TJ +/F62 9.9626 Tf 239.889 292.645 Td [(vect)]TJ ET q 1 0 0 1 261.438 292.844 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 264.576 292.645 Td [(type)]TJ +/F62 9.9626 Tf 264.576 292.645 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf 20.922 0 Td [(,)-250(of)-250(type)-250(r)18(eal,)-250(complex)-250(or)-250(integer)74(.)]TJ +/F57 9.9626 Tf 20.922 0 Td [(,)-250(of)-250(type)-250(r)18(eal,)-250(complex)-250(or)-250(integer)74(.)]TJ 0 g 0 G -/F51 9.9626 Tf -185.603 -31.881 Td [(info)]TJ +/F54 9.9626 Tf -185.603 -31.881 Td [(info)]TJ 0 g 0 G -/F54 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.956 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ +/F57 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(out)]TJ/F57 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.956 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ 0 g 0 G 141.968 -122.505 Td [(89)]TJ 0 g 0 G @@ -18387,105 +18387,105 @@ stream 0 g 0 G 0 g 0 G BT -/F51 11.9552 Tf 150.705 706.129 Td [(6.13)-1000(psb)]TJ +/F54 11.9552 Tf 150.705 706.129 Td [(6.13)-1000(psb)]TJ ET q 1 0 0 1 204.216 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F51 11.9552 Tf 207.803 706.129 Td [(geins)-250(\227)-250(Dense)-250(matrix)-250(insertion)-250(routine)]TJ +/F54 11.9552 Tf 207.803 706.129 Td [(geins)-250(\227)-250(Dense)-250(matrix)-250(insertion)-250(routine)]TJ 0 g 0 G 0 g 0 G -/F59 9.9626 Tf -57.098 -18.964 Td [(call)-525(psb_geins\050m,)-525(irw,)-525(val,)-525(x,)-525(desc_a,)-525(info)-525([,dupl,local]\051)]TJ +/F62 9.9626 Tf -57.098 -18.964 Td [(call)-525(psb_geins\050m,)-525(irw,)-525(val,)-525(x,)-525(desc_a,)-525(info)-525([,dupl,local]\051)]TJ 0 g 0 G -/F51 9.9626 Tf 0 -20.57 Td [(T)90(ype:)]TJ +/F54 9.9626 Tf 0 -20.57 Td [(T)90(ype:)]TJ 0 g 0 G -/F54 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ +/F57 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ 0 g 0 G -/F51 9.9626 Tf -29.828 -19.386 Td [(On)-250(Entry)]TJ +/F54 9.9626 Tf -29.828 -19.386 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -19.386 Td [(m)]TJ 0 g 0 G -/F54 9.9626 Tf 13.838 0 Td [(Number)-250(of)-250(r)18(ows)-250(in)]TJ/F52 9.9626 Tf 86.569 0 Td [(v)-40(a)-25(l)]TJ/F54 9.9626 Tf 15.736 0 Td [(to)-250(be)-250(inserted.)]TJ -91.237 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 28.344 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -49.923 -11.956 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 24 0 Td [(required)]TJ/F54 9.9626 Tf 39.293 0 Td [(.)]TJ -63.293 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(in)]TJ/F54 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(value.)]TJ +/F57 9.9626 Tf 13.838 0 Td [(Number)-250(of)-250(r)18(ows)-250(in)]TJ/F55 9.9626 Tf 86.569 0 Td [(v)-40(a)-25(l)]TJ/F57 9.9626 Tf 15.736 0 Td [(to)-250(be)-250(inserted.)]TJ -91.237 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 28.344 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ -49.923 -11.956 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 24 0 Td [(required)]TJ/F57 9.9626 Tf 39.293 0 Td [(.)]TJ -63.293 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(in)]TJ/F57 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(value.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.906 -19.386 Td [(irw)]TJ +/F54 9.9626 Tf -24.906 -19.386 Td [(irw)]TJ 0 g 0 G -/F54 9.9626 Tf 20.473 0 Td [(Indices)-381(of)-382(the)-382(r)18(ows)-381(to)-382(be)-381(inserted.)-705(Speci\002cally)111(,)-414(r)18(ow)]TJ/F52 9.9626 Tf 239.84 0 Td [(i)]TJ/F54 9.9626 Tf 6.765 0 Td [(of)]TJ/F52 9.9626 Tf 12.683 0 Td [(v)-40(a)-25(l)]TJ/F54 9.9626 Tf 17.046 0 Td [(will)-381(be)-382(in-)]TJ -271.901 -11.955 Td [(serted)-344(into)-344(the)-344(local)-344(r)18(ow)-344(corr)18(esponding)-344(to)-344(the)-344(global)-344(r)18(ow)-344(index)]TJ/F52 9.9626 Tf 290.218 0 Td [(i)-22(r)-35(w)]TJ/F85 10.3811 Tf 14.654 0 Td [(\050)]TJ/F52 9.9626 Tf 4.205 0 Td [(i)]TJ/F85 10.3811 Tf 3.088 0 Td [(\051)]TJ/F54 9.9626 Tf 4.149 0 Td [(.)]TJ -316.314 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 28.344 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -49.923 -11.956 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 24 0 Td [(required)]TJ/F54 9.9626 Tf 39.293 0 Td [(.)]TJ -63.293 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(in)]TJ/F54 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(array)111(.)]TJ +/F57 9.9626 Tf 20.473 0 Td [(Indices)-381(of)-382(the)-382(r)18(ows)-381(to)-382(be)-381(inserted.)-705(Speci\002cally)111(,)-414(r)18(ow)]TJ/F55 9.9626 Tf 239.84 0 Td [(i)]TJ/F57 9.9626 Tf 6.765 0 Td [(of)]TJ/F55 9.9626 Tf 12.683 0 Td [(v)-40(a)-25(l)]TJ/F57 9.9626 Tf 17.046 0 Td [(will)-381(be)-382(in-)]TJ -271.901 -11.955 Td [(serted)-344(into)-344(the)-344(local)-344(r)18(ow)-344(corr)18(esponding)-344(to)-344(the)-344(global)-344(r)18(ow)-344(index)]TJ/F55 9.9626 Tf 290.218 0 Td [(i)-22(r)-35(w)]TJ/F88 10.3811 Tf 14.654 0 Td [(\050)]TJ/F55 9.9626 Tf 4.205 0 Td [(i)]TJ/F88 10.3811 Tf 3.088 0 Td [(\051)]TJ/F57 9.9626 Tf 4.149 0 Td [(.)]TJ -316.314 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 28.344 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ -49.923 -11.956 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 24 0 Td [(required)]TJ/F57 9.9626 Tf 39.293 0 Td [(.)]TJ -63.293 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(in)]TJ/F57 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(array)111(.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.906 -19.386 Td [(val)]TJ +/F54 9.9626 Tf -24.906 -19.386 Td [(val)]TJ 0 g 0 G -/F54 9.9626 Tf 18.819 0 Td [(the)-250(dense)-250(submatrix)-250(to)-250(be)-250(inserted.)]TJ 6.087 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 28.344 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -49.923 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 24 0 Td [(required)]TJ/F54 9.9626 Tf 39.293 0 Td [(.)]TJ -63.293 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(in)]TJ/F54 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(rank)-250(1)-250(or)-250(2)-250(array)111(.)-310(Speci\002ed)-250(as:)-310(an)-250(integer)-250(value.)]TJ +/F57 9.9626 Tf 18.819 0 Td [(the)-250(dense)-250(submatrix)-250(to)-250(be)-250(inserted.)]TJ 6.087 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 28.344 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ -49.923 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 24 0 Td [(required)]TJ/F57 9.9626 Tf 39.293 0 Td [(.)]TJ -63.293 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(in)]TJ/F57 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(rank)-250(1)-250(or)-250(2)-250(array)111(.)-310(Speci\002ed)-250(as:)-310(an)-250(integer)-250(value.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.906 -19.386 Td [(desc)]TJ +/F54 9.9626 Tf -24.906 -19.386 Td [(desc)]TJ ET q 1 0 0 1 171.218 414.446 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 174.207 414.247 Td [(a)]TJ +/F54 9.9626 Tf 174.207 414.247 Td [(a)]TJ 0 g 0 G -/F54 9.9626 Tf 9.962 0 Td [(the)-250(communication)-250(descriptor)74(.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 28.344 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -49.923 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 24 0 Td [(required)]TJ/F54 9.9626 Tf 39.293 0 Td [(.)]TJ -63.293 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(in)]TJ/F54 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.956 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ +/F57 9.9626 Tf 9.962 0 Td [(the)-250(communication)-250(descriptor)74(.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 28.344 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ -49.923 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 24 0 Td [(required)]TJ/F57 9.9626 Tf 39.293 0 Td [(.)]TJ -63.293 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(in)]TJ/F57 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.956 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 168.138 0 Td [(psb)]TJ +/F62 9.9626 Tf 168.138 0 Td [(psb)]TJ ET q 1 0 0 1 360.068 366.626 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 363.206 366.426 Td [(desc)]TJ +/F62 9.9626 Tf 363.206 366.426 Td [(desc)]TJ ET q 1 0 0 1 384.755 366.626 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 387.893 366.426 Td [(type)]TJ +/F62 9.9626 Tf 387.893 366.426 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf 20.922 0 Td [(.)]TJ +/F57 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -258.11 -19.386 Td [(dupl)]TJ +/F54 9.9626 Tf -258.11 -19.386 Td [(dupl)]TJ 0 g 0 G -/F54 9.9626 Tf 26.56 0 Td [(How)-250(to)-250(handle)-250(duplicate)-250(coef)18(\002cients.)]TJ -1.654 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(global)]TJ/F54 9.9626 Tf 28.782 0 Td [(.)]TJ -60.214 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(optional)]TJ/F54 9.9626 Tf 38.186 0 Td [(.)]TJ -65.275 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(in)]TJ/F54 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-243(as:)-306(integer)74(,)-244(possible)-243(values:)]TJ/F59 9.9626 Tf 164.942 0 Td [(psb_dupl_ovwrt_)]TJ/F54 9.9626 Tf 78.455 0 Td [(,)]TJ/F59 9.9626 Tf 4.923 0 Td [(psb_dupl_add_)]TJ/F54 9.9626 Tf 67.994 0 Td [(.)]TJ +/F57 9.9626 Tf 26.56 0 Td [(How)-250(to)-250(handle)-250(duplicate)-250(coef)18(\002cients.)]TJ -1.654 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(global)]TJ/F57 9.9626 Tf 28.782 0 Td [(.)]TJ -60.214 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.089 0 Td [(optional)]TJ/F57 9.9626 Tf 38.186 0 Td [(.)]TJ -65.275 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(in)]TJ/F57 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-243(as:)-306(integer)74(,)-244(possible)-243(values:)]TJ/F62 9.9626 Tf 164.942 0 Td [(psb_dupl_ovwrt_)]TJ/F57 9.9626 Tf 78.455 0 Td [(,)]TJ/F62 9.9626 Tf 4.923 0 Td [(psb_dupl_add_)]TJ/F57 9.9626 Tf 67.994 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -341.22 -19.387 Td [(local)]TJ +/F54 9.9626 Tf -341.22 -19.387 Td [(local)]TJ 0 g 0 G -/F54 9.9626 Tf 26.56 0 Td [(Whether)-240(the)-240(entries)-241(in)-240(the)-240(index)-240(vector)]TJ/F59 9.9626 Tf 173.162 0 Td [(irw)]TJ/F54 9.9626 Tf 15.691 0 Td [(,)-242(ar)18(e)-240(alr)18(eady)-241(in)-240(local)-240(number)18(-)]TJ -190.507 -11.955 Td [(ing.)]TJ 0 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 28.344 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -49.923 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 24 0 Td [(optional)]TJ/F54 9.9626 Tf 38.187 0 Td [(.)]TJ -62.187 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(logical)-250(value;)-250(default:)]TJ/F59 9.9626 Tf 162.678 0 Td [(.false.)]TJ/F54 9.9626 Tf 36.613 0 Td [(.)]TJ +/F57 9.9626 Tf 26.56 0 Td [(Whether)-240(the)-240(entries)-241(in)-240(the)-240(index)-240(vector)]TJ/F62 9.9626 Tf 173.162 0 Td [(irw)]TJ/F57 9.9626 Tf 15.691 0 Td [(,)-242(ar)18(e)-240(alr)18(eady)-241(in)-240(local)-240(number)18(-)]TJ -190.507 -11.955 Td [(ing.)]TJ 0 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 28.344 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ -49.923 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 24 0 Td [(optional)]TJ/F57 9.9626 Tf 38.187 0 Td [(.)]TJ -62.187 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(logical)-250(value;)-250(default:)]TJ/F62 9.9626 Tf 162.678 0 Td [(.false.)]TJ/F57 9.9626 Tf 36.613 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -224.197 -20.57 Td [(On)-250(Return)]TJ +/F54 9.9626 Tf -224.197 -20.57 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -19.386 Td [(x)]TJ 0 g 0 G -/F54 9.9626 Tf 9.962 0 Td [(the)-250(output)-250(dense)-250(matrix.)]TJ 14.944 -11.956 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(required)]TJ/F54 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(inout)]TJ/F54 9.9626 Tf 24.348 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-190(as:)-280(a)-190(rank)-190(one)-190(or)-190(two)-190(array)-190(or)-190(an)-190(object)-190(of)-190(type)]TJ +/F57 9.9626 Tf 9.962 0 Td [(the)-250(output)-250(dense)-250(matrix.)]TJ 14.944 -11.956 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.089 0 Td [(required)]TJ/F57 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(inout)]TJ/F57 9.9626 Tf 24.348 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-190(as:)-280(a)-190(rank)-190(one)-190(or)-190(two)-190(array)-190(or)-190(an)-190(object)-190(of)-190(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 242.569 0 Td [(psb)]TJ +/F62 9.9626 Tf 242.569 0 Td [(psb)]TJ ET q 1 0 0 1 434.498 144.435 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 437.636 144.236 Td [(T)]TJ +/F62 9.9626 Tf 437.636 144.236 Td [(T)]TJ ET q 1 0 0 1 443.494 144.435 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 446.633 144.236 Td [(vect)]TJ +/F62 9.9626 Tf 446.633 144.236 Td [(vect)]TJ ET q 1 0 0 1 468.182 144.435 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 471.32 144.236 Td [(type)]TJ +/F62 9.9626 Tf 471.32 144.236 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf 20.921 0 Td [(,)]TJ -316.63 -11.955 Td [(of)-250(type)-250(r)18(eal,)-250(complex)-250(or)-250(integer)74(.)]TJ +/F57 9.9626 Tf 20.921 0 Td [(,)]TJ -316.63 -11.955 Td [(of)-250(type)-250(r)18(eal,)-250(complex)-250(or)-250(integer)74(.)]TJ 0 g 0 G 141.968 -41.843 Td [(90)]TJ 0 g 0 G @@ -18502,11 +18502,11 @@ stream 0 g 0 G 0 g 0 G BT -/F51 9.9626 Tf 99.895 706.129 Td [(info)]TJ +/F54 9.9626 Tf 99.895 706.129 Td [(info)]TJ 0 g 0 G -/F54 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ/F51 11.9552 Tf -24.907 -21.918 Td [(Notes)]TJ +/F57 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(out)]TJ/F57 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ/F54 11.9552 Tf -24.907 -21.918 Td [(Notes)]TJ 0 g 0 G -/F54 9.9626 Tf 12.454 -19.925 Td [(1.)]TJ +/F57 9.9626 Tf 12.454 -19.925 Td [(1.)]TJ 0 g 0 G [-500(Dense)-250(vectors/matrices)-250(do)-250(not)-250(have)-250(an)-250(associated)-250(state;)]TJ 0 g 0 G @@ -18528,23 +18528,23 @@ stream 0 g 0 G 0 g 0 G BT -/F51 11.9552 Tf 150.705 706.129 Td [(6.14)-1000(psb)]TJ +/F54 11.9552 Tf 150.705 706.129 Td [(6.14)-1000(psb)]TJ ET q 1 0 0 1 204.216 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F51 11.9552 Tf 207.803 706.129 Td [(geasb)-250(\227)-250(Assembly)-250(a)-250(dense)-250(matrix)]TJ +/F54 11.9552 Tf 207.803 706.129 Td [(geasb)-250(\227)-250(Assembly)-250(a)-250(dense)-250(matrix)]TJ 0 g 0 G 0 g 0 G -/F59 9.9626 Tf -57.098 -18.964 Td [(call)-525(psb_geasb\050x,)-525(desc_a,)-525(info,)-525(mold\051)]TJ +/F62 9.9626 Tf -57.098 -18.964 Td [(call)-525(psb_geasb\050x,)-525(desc_a,)-525(info,)-525(mold\051)]TJ 0 g 0 G -/F51 9.9626 Tf 0 -21.918 Td [(T)90(ype:)]TJ +/F54 9.9626 Tf 0 -21.918 Td [(T)90(ype:)]TJ 0 g 0 G -/F54 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ +/F57 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ 0 g 0 G -/F51 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ +/F54 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -19.925 Td [(desc)]TJ @@ -18554,120 +18554,120 @@ q []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 174.207 625.397 Td [(a)]TJ +/F54 9.9626 Tf 174.207 625.397 Td [(a)]TJ 0 g 0 G -/F54 9.9626 Tf 9.962 0 Td [(The)-250(communication)-250(descriptor)74(.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.956 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(required)]TJ/F54 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(in)]TJ/F54 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(variable)-250(of)-250(type)]TJ +/F57 9.9626 Tf 9.962 0 Td [(The)-250(communication)-250(descriptor)74(.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.956 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.089 0 Td [(required)]TJ/F57 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(in)]TJ/F57 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(variable)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 136.328 0 Td [(psb)]TJ +/F62 9.9626 Tf 136.328 0 Td [(psb)]TJ ET q 1 0 0 1 328.257 577.775 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 331.395 577.576 Td [(desc)]TJ +/F62 9.9626 Tf 331.395 577.576 Td [(desc)]TJ ET q 1 0 0 1 352.944 577.775 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 356.083 577.576 Td [(type)]TJ +/F62 9.9626 Tf 356.083 577.576 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf 20.921 0 Td [(.)]TJ +/F57 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -226.299 -31.88 Td [(mold)]TJ +/F54 9.9626 Tf -226.299 -31.88 Td [(mold)]TJ 0 g 0 G -/F54 9.9626 Tf 28.782 0 Td [(The)-250(desir)18(ed)-250(dynamic)-250(type)-250(for)-250(the)-250(internal)-250(vector)-250(storage.)]TJ -3.876 -11.956 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -53.011 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(optional)]TJ/F54 9.9626 Tf 38.186 0 Td [(.)]TJ -65.275 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(in)]TJ/F54 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-223(as:)-296(an)-223(object)-223(of)-222(a)-223(class)-223(derived)-223(fr)18(om)]TJ/F59 9.9626 Tf 199.087 0 Td [(psb)]TJ +/F57 9.9626 Tf 28.782 0 Td [(The)-250(desir)18(ed)-250(dynamic)-250(type)-250(for)-250(the)-250(internal)-250(vector)-250(storage.)]TJ -3.876 -11.956 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ -53.011 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.089 0 Td [(optional)]TJ/F57 9.9626 Tf 38.186 0 Td [(.)]TJ -65.275 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(in)]TJ/F57 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-223(as:)-296(an)-223(object)-223(of)-222(a)-223(class)-223(derived)-223(fr)18(om)]TJ/F62 9.9626 Tf 199.087 0 Td [(psb)]TJ ET q 1 0 0 1 391.016 498.074 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 394.155 497.875 Td [(T)]TJ +/F62 9.9626 Tf 394.155 497.875 Td [(T)]TJ ET q 1 0 0 1 400.012 498.074 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 403.151 497.875 Td [(base)]TJ +/F62 9.9626 Tf 403.151 497.875 Td [(base)]TJ ET q 1 0 0 1 424.7 498.074 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 427.838 497.875 Td [(vect)]TJ +/F62 9.9626 Tf 427.838 497.875 Td [(vect)]TJ ET q 1 0 0 1 449.387 498.074 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 452.525 497.875 Td [(type)]TJ/F54 9.9626 Tf 20.921 0 Td [(;)-232(this)]TJ -297.835 -11.955 Td [(is)-250(only)-250(allowed)-250(when)]TJ/F52 9.9626 Tf 97.12 0 Td [(x)]TJ/F54 9.9626 Tf 7.696 0 Td [(is)-250(of)-250(type)]TJ +/F62 9.9626 Tf 452.525 497.875 Td [(type)]TJ/F57 9.9626 Tf 20.921 0 Td [(;)-232(this)]TJ -297.835 -11.955 Td [(is)-250(only)-250(allowed)-250(when)]TJ/F55 9.9626 Tf 97.12 0 Td [(x)]TJ/F57 9.9626 Tf 7.696 0 Td [(is)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 42.899 0 Td [(psb)]TJ +/F62 9.9626 Tf 42.899 0 Td [(psb)]TJ ET q 1 0 0 1 339.644 486.119 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 342.783 485.92 Td [(T)]TJ +/F62 9.9626 Tf 342.783 485.92 Td [(T)]TJ ET q 1 0 0 1 348.641 486.119 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 351.779 485.92 Td [(vect)]TJ +/F62 9.9626 Tf 351.779 485.92 Td [(vect)]TJ ET q 1 0 0 1 373.328 486.119 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 376.466 485.92 Td [(type)]TJ +/F62 9.9626 Tf 376.466 485.92 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf 20.921 0 Td [(.)]TJ +/F57 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -246.682 -21.918 Td [(On)-250(Return)]TJ +/F54 9.9626 Tf -246.682 -21.918 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -19.925 Td [(x)]TJ 0 g 0 G -/F54 9.9626 Tf 9.962 0 Td [(The)-250(dense)-250(matrix)-250(to)-250(be)-250(assembled.)]TJ 14.944 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.956 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(required)]TJ/F54 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(inout)]TJ/F54 9.9626 Tf 24.348 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-259(as:)-328(a)-259(rank)-258(one)-259(or)-259(two)-259(array)-259(with)-259(the)-259(ALLOCA)74(T)74(ABLE)-258(or)-259(an)-259(ob-)]TJ 0 -11.955 Td [(ject)-250(of)-250(type)]TJ +/F57 9.9626 Tf 9.962 0 Td [(The)-250(dense)-250(matrix)-250(to)-250(be)-250(assembled.)]TJ 14.944 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.956 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.089 0 Td [(required)]TJ/F57 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(inout)]TJ/F57 9.9626 Tf 24.348 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-259(as:)-328(a)-259(rank)-258(one)-259(or)-259(two)-259(array)-259(with)-259(the)-259(ALLOCA)74(T)74(ABLE)-258(or)-259(an)-259(ob-)]TJ 0 -11.955 Td [(ject)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 50.55 0 Td [(psb)]TJ +/F62 9.9626 Tf 50.55 0 Td [(psb)]TJ ET q 1 0 0 1 242.48 384.5 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 245.618 384.301 Td [(T)]TJ +/F62 9.9626 Tf 245.618 384.301 Td [(T)]TJ ET q 1 0 0 1 251.476 384.5 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 254.614 384.301 Td [(vect)]TJ +/F62 9.9626 Tf 254.614 384.301 Td [(vect)]TJ ET q 1 0 0 1 276.163 384.5 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 279.301 384.301 Td [(type)]TJ +/F62 9.9626 Tf 279.301 384.301 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf 20.922 0 Td [(,)-250(of)-250(type)-250(r)18(eal,)-250(complex)-250(or)-250(integer)74(.)]TJ +/F57 9.9626 Tf 20.922 0 Td [(,)-250(of)-250(type)-250(r)18(eal,)-250(complex)-250(or)-250(integer)74(.)]TJ 0 g 0 G -/F51 9.9626 Tf -149.518 -31.881 Td [(info)]TJ +/F54 9.9626 Tf -149.518 -31.881 Td [(info)]TJ 0 g 0 G -/F54 9.9626 Tf 23.8 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(required)]TJ/F54 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.745 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ +/F57 9.9626 Tf 23.8 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.089 0 Td [(required)]TJ/F57 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(out)]TJ/F57 9.9626 Tf 14.944 0 Td [(.)]TJ -46.745 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ 0 g 0 G 141.968 -214.162 Td [(92)]TJ 0 g 0 G @@ -18683,89 +18683,89 @@ stream 0 g 0 G 0 g 0 G BT -/F51 11.9552 Tf 99.895 706.129 Td [(6.15)-1000(psb)]TJ +/F54 11.9552 Tf 99.895 706.129 Td [(6.15)-1000(psb)]TJ ET q 1 0 0 1 153.407 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F51 11.9552 Tf 156.993 706.129 Td [(gefree)-250(\227)-250(Frees)-250(a)-250(dense)-250(matrix)]TJ +/F54 11.9552 Tf 156.993 706.129 Td [(gefree)-250(\227)-250(Frees)-250(a)-250(dense)-250(matrix)]TJ 0 g 0 G 0 g 0 G -/F59 9.9626 Tf -57.098 -18.964 Td [(call)-525(psb_gefree\050x,)-525(desc_a,)-525(info\051)]TJ +/F62 9.9626 Tf -57.098 -18.964 Td [(call)-525(psb_gefree\050x,)-525(desc_a,)-525(info\051)]TJ 0 g 0 G -/F51 9.9626 Tf 0 -21.918 Td [(T)90(ype:)]TJ +/F54 9.9626 Tf 0 -21.918 Td [(T)90(ype:)]TJ 0 g 0 G -/F54 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ +/F57 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ 0 g 0 G -/F51 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ +/F54 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -19.925 Td [(x)]TJ 0 g 0 G -/F54 9.9626 Tf 9.963 0 Td [(The)-250(dense)-250(matrix)-250(to)-250(be)-250(fr)18(eed.)]TJ 14.944 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.956 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(inout)]TJ/F54 9.9626 Tf 24.349 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-259(as:)-328(a)-258(rank)-259(one)-259(or)-259(two)-259(array)-259(with)-259(the)-259(ALLOCA)74(T)74(ABLE)-258(or)-259(an)-259(ob-)]TJ 0 -11.955 Td [(ject)-250(of)-250(type)]TJ +/F57 9.9626 Tf 9.963 0 Td [(The)-250(dense)-250(matrix)-250(to)-250(be)-250(fr)18(eed.)]TJ 14.944 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.956 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(inout)]TJ/F57 9.9626 Tf 24.349 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-259(as:)-328(a)-258(rank)-259(one)-259(or)-259(two)-259(array)-259(with)-259(the)-259(ALLOCA)74(T)74(ABLE)-258(or)-259(an)-259(ob-)]TJ 0 -11.955 Td [(ject)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 50.55 0 Td [(psb)]TJ +/F62 9.9626 Tf 50.55 0 Td [(psb)]TJ ET q 1 0 0 1 191.67 565.82 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 194.809 565.621 Td [(T)]TJ +/F62 9.9626 Tf 194.809 565.621 Td [(T)]TJ ET q 1 0 0 1 200.666 565.82 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 203.805 565.621 Td [(vect)]TJ +/F62 9.9626 Tf 203.805 565.621 Td [(vect)]TJ ET q 1 0 0 1 225.354 565.82 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 228.492 565.621 Td [(type)]TJ +/F62 9.9626 Tf 228.492 565.621 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf 20.921 0 Td [(,)-250(of)-250(type)-250(r)18(eal,)-250(complex)-250(or)-250(integer)74(.)]TJ +/F57 9.9626 Tf 20.921 0 Td [(,)-250(of)-250(type)-250(r)18(eal,)-250(complex)-250(or)-250(integer)74(.)]TJ 0 g 0 G -/F51 9.9626 Tf -149.518 -31.881 Td [(desc)]TJ +/F54 9.9626 Tf -149.518 -31.881 Td [(desc)]TJ ET q 1 0 0 1 120.408 533.94 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 123.397 533.74 Td [(a)]TJ +/F54 9.9626 Tf 123.397 533.74 Td [(a)]TJ 0 g 0 G -/F54 9.9626 Tf 9.963 0 Td [(The)-250(communication)-250(descriptor)74(.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(variable)-250(of)-250(type)]TJ +/F57 9.9626 Tf 9.963 0 Td [(The)-250(communication)-250(descriptor)74(.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(variable)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 136.327 0 Td [(psb)]TJ +/F62 9.9626 Tf 136.327 0 Td [(psb)]TJ ET q 1 0 0 1 277.448 486.119 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 280.586 485.92 Td [(desc)]TJ +/F62 9.9626 Tf 280.586 485.92 Td [(desc)]TJ ET q 1 0 0 1 302.135 486.119 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 305.273 485.92 Td [(type)]TJ +/F62 9.9626 Tf 305.273 485.92 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf 20.922 0 Td [(.)]TJ +/F57 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -226.3 -33.873 Td [(On)-250(Return)]TJ +/F54 9.9626 Tf -226.3 -33.873 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -19.925 Td [(info)]TJ 0 g 0 G -/F54 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.956 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ +/F57 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.956 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(out)]TJ/F57 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ 0 g 0 G 141.968 -293.863 Td [(93)]TJ 0 g 0 G @@ -18781,43 +18781,43 @@ stream 0 g 0 G 0 g 0 G BT -/F51 11.9552 Tf 150.705 706.129 Td [(6.16)-1000(psb)]TJ +/F54 11.9552 Tf 150.705 706.129 Td [(6.16)-1000(psb)]TJ ET q 1 0 0 1 204.216 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F51 11.9552 Tf 207.803 706.129 Td [(gelp)-250(\227)-250(Applies)-250(a)-250(left)-250(permutation)-250(to)-250(a)-250(dense)-250(matrix)]TJ +/F54 11.9552 Tf 207.803 706.129 Td [(gelp)-250(\227)-250(Applies)-250(a)-250(left)-250(permutation)-250(to)-250(a)-250(dense)-250(matrix)]TJ 0 g 0 G 0 g 0 G -/F59 9.9626 Tf -57.098 -18.964 Td [(call)-525(psb_gelp\050trans,)-525(iperm,)-525(x,)-525(info\051)]TJ +/F62 9.9626 Tf -57.098 -18.964 Td [(call)-525(psb_gelp\050trans,)-525(iperm,)-525(x,)-525(info\051)]TJ 0 g 0 G -/F51 9.9626 Tf 0 -21.918 Td [(T)90(ype:)]TJ +/F54 9.9626 Tf 0 -21.918 Td [(T)90(ype:)]TJ 0 g 0 G -/F54 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ +/F57 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ 0 g 0 G -/F51 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ +/F54 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -19.925 Td [(trans)]TJ 0 g 0 G -/F54 9.9626 Tf 27.666 0 Td [(A)-250(character)-250(that)-250(speci\002es)-250(whether)-250(to)-250(permute)]TJ/F52 9.9626 Tf 203.748 0 Td [(A)]TJ/F54 9.9626 Tf 9.808 0 Td [(or)]TJ/F52 9.9626 Tf 12.488 0 Td [(A)]TJ/F52 7.5716 Tf 7.511 3.616 Td [(T)]TJ/F54 9.9626 Tf 5.401 -3.616 Td [(.)]TJ -241.716 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.956 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(required)]TJ/F54 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(in)]TJ/F54 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(single)-250(character)-250(with)-250(value)-250('N')-250(for)]TJ/F52 9.9626 Tf 218.195 0 Td [(A)]TJ/F54 9.9626 Tf 9.808 0 Td [(or)-250('T')-250(for)]TJ/F52 9.9626 Tf 41.807 0 Td [(A)]TJ/F52 7.5716 Tf 7.511 3.616 Td [(T)]TJ/F54 9.9626 Tf 5.401 -3.616 Td [(.)]TJ +/F57 9.9626 Tf 27.666 0 Td [(A)-250(character)-250(that)-250(speci\002es)-250(whether)-250(to)-250(permute)]TJ/F55 9.9626 Tf 203.748 0 Td [(A)]TJ/F57 9.9626 Tf 9.808 0 Td [(or)]TJ/F55 9.9626 Tf 12.488 0 Td [(A)]TJ/F55 7.5716 Tf 7.511 3.616 Td [(T)]TJ/F57 9.9626 Tf 5.401 -3.616 Td [(.)]TJ -241.716 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.956 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.089 0 Td [(required)]TJ/F57 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(in)]TJ/F57 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(single)-250(character)-250(with)-250(value)-250('N')-250(for)]TJ/F55 9.9626 Tf 218.195 0 Td [(A)]TJ/F57 9.9626 Tf 9.808 0 Td [(or)-250('T')-250(for)]TJ/F55 9.9626 Tf 41.807 0 Td [(A)]TJ/F55 7.5716 Tf 7.511 3.616 Td [(T)]TJ/F57 9.9626 Tf 5.401 -3.616 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -307.628 -31.88 Td [(iperm)]TJ +/F54 9.9626 Tf -307.628 -31.88 Td [(iperm)]TJ 0 g 0 G -/F54 9.9626 Tf 32.099 0 Td [(An)-250(integer)-250(array)-250(containing)-250(permutation)-250(information.)]TJ -7.193 -11.956 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(required)]TJ/F54 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(in)]TJ/F54 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(one-dimensional)-250(array)111(.)]TJ +/F57 9.9626 Tf 32.099 0 Td [(An)-250(integer)-250(array)-250(containing)-250(permutation)-250(information.)]TJ -7.193 -11.956 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.089 0 Td [(required)]TJ/F57 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(in)]TJ/F57 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(one-dimensional)-250(array)111(.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.906 -31.881 Td [(x)]TJ +/F54 9.9626 Tf -24.906 -31.881 Td [(x)]TJ 0 g 0 G -/F54 9.9626 Tf 9.962 0 Td [(The)-250(dense)-250(matrix)-250(to)-250(be)-250(permuted.)]TJ 14.944 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(required)]TJ/F54 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(inout)]TJ/F54 9.9626 Tf 24.348 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(one)-250(or)-250(two)-250(dimensional)-250(array)111(.)]TJ +/F57 9.9626 Tf 9.962 0 Td [(The)-250(dense)-250(matrix)-250(to)-250(be)-250(permuted.)]TJ 14.944 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.089 0 Td [(required)]TJ/F57 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(inout)]TJ/F57 9.9626 Tf 24.348 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(one)-250(or)-250(two)-250(dimensional)-250(array)111(.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.906 -33.873 Td [(On)-250(Return)]TJ +/F54 9.9626 Tf -24.906 -33.873 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -19.926 Td [(info)]TJ 0 g 0 G -/F54 9.9626 Tf 23.8 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(required)]TJ/F54 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.745 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ +/F57 9.9626 Tf 23.8 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.089 0 Td [(required)]TJ/F57 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(out)]TJ/F57 9.9626 Tf 14.944 0 Td [(.)]TJ -46.745 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ 0 g 0 G 141.968 -226.117 Td [(94)]TJ 0 g 0 G @@ -18833,96 +18833,96 @@ stream 0 g 0 G 0 g 0 G BT -/F51 11.9552 Tf 99.895 706.129 Td [(6.17)-1000(psb)]TJ +/F54 11.9552 Tf 99.895 706.129 Td [(6.17)-1000(psb)]TJ ET q 1 0 0 1 153.407 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F51 11.9552 Tf 156.993 706.129 Td [(glob)]TJ +/F54 11.9552 Tf 156.993 706.129 Td [(glob)]TJ ET q 1 0 0 1 182.29 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F51 11.9552 Tf 185.877 706.129 Td [(to)]TJ +/F54 11.9552 Tf 185.877 706.129 Td [(to)]TJ ET q 1 0 0 1 197.222 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F51 11.9552 Tf 200.809 706.129 Td [(loc)-250(\227)-250(Global)-250(to)-250(local)-250(indices)-250(convertion)]TJ +/F54 11.9552 Tf 200.809 706.129 Td [(loc)-250(\227)-250(Global)-250(to)-250(local)-250(indices)-250(convertion)]TJ 0 g 0 G 0 g 0 G -/F59 9.9626 Tf -100.914 -18.964 Td [(call)-525(psb_glob_to_loc\050x,)-525(y,)-525(desc_a,)-525(info,)-525(iact,owned\051)]TJ 0 -11.955 Td [(call)-525(psb_glob_to_loc\050x,)-525(desc_a,)-525(info,)-525(iact,owned\051)]TJ +/F62 9.9626 Tf -100.914 -18.964 Td [(call)-525(psb_glob_to_loc\050x,)-525(y,)-525(desc_a,)-525(info,)-525(iact,owned\051)]TJ 0 -11.955 Td [(call)-525(psb_glob_to_loc\050x,)-525(desc_a,)-525(info,)-525(iact,owned\051)]TJ 0 g 0 G -/F51 9.9626 Tf 0 -21.109 Td [(T)90(ype:)]TJ +/F54 9.9626 Tf 0 -21.109 Td [(T)90(ype:)]TJ 0 g 0 G -/F54 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ +/F57 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ 0 g 0 G -/F51 9.9626 Tf -29.828 -19.602 Td [(On)-250(Entry)]TJ +/F54 9.9626 Tf -29.828 -19.602 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -19.601 Td [(x)]TJ 0 g 0 G -/F54 9.9626 Tf 9.963 0 Td [(An)-250(integer)-250(vector)-250(of)-250(indices)-250(to)-250(be)-250(converted.)]TJ 14.944 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.956 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in,)-250(inout)]TJ/F54 9.9626 Tf 38.735 0 Td [(.)]TJ -70.535 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(rank)-250(one)-250(integer)-250(array)111(.)]TJ +/F57 9.9626 Tf 9.963 0 Td [(An)-250(integer)-250(vector)-250(of)-250(indices)-250(to)-250(be)-250(converted.)]TJ 14.944 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.956 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in,)-250(inout)]TJ/F57 9.9626 Tf 38.735 0 Td [(.)]TJ -70.535 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(rank)-250(one)-250(integer)-250(array)111(.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.907 -31.557 Td [(desc)]TJ +/F54 9.9626 Tf -24.907 -31.557 Td [(desc)]TJ ET q 1 0 0 1 120.408 535.72 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 123.397 535.52 Td [(a)]TJ +/F54 9.9626 Tf 123.397 535.52 Td [(a)]TJ 0 g 0 G -/F54 9.9626 Tf 9.963 0 Td [(the)-250(communication)-250(descriptor)74(.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 28.343 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -49.922 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 24 0 Td [(required)]TJ/F54 9.9626 Tf 39.292 0 Td [(.)]TJ -63.292 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ +/F57 9.9626 Tf 9.963 0 Td [(the)-250(communication)-250(descriptor)74(.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 28.343 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ -49.922 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 24 0 Td [(required)]TJ/F57 9.9626 Tf 39.292 0 Td [(.)]TJ -63.292 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 168.138 0 Td [(psb)]TJ +/F62 9.9626 Tf 168.138 0 Td [(psb)]TJ ET q 1 0 0 1 309.258 487.899 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 312.397 487.7 Td [(desc)]TJ +/F62 9.9626 Tf 312.397 487.7 Td [(desc)]TJ ET q 1 0 0 1 333.945 487.899 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 337.084 487.7 Td [(type)]TJ +/F62 9.9626 Tf 337.084 487.7 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf 20.921 0 Td [(.)]TJ +/F57 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -258.11 -19.602 Td [(iact)]TJ +/F54 9.9626 Tf -258.11 -19.602 Td [(iact)]TJ 0 g 0 G -/F54 9.9626 Tf 21.021 0 Td [(speci\002es)-250(action)-250(to)-250(be)-250(taken)-250(in)-250(case)-250(of)-250(range)-250(err)18(ors.)-310(Scope:)]TJ/F51 9.9626 Tf 253.796 0 Td [(global)]TJ/F54 9.9626 Tf -249.91 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(optional)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.956 Td [(Speci\002ed)-190(as:)-280(a)-190(character)-190(variable)]TJ/F59 9.9626 Tf 143.341 0 Td [(I)]TJ/F54 9.9626 Tf 5.23 0 Td [(gnor)18(e,)]TJ/F59 9.9626 Tf 29.808 0 Td [(W)]TJ/F54 9.9626 Tf 5.231 0 Td [(arning)-190(or)]TJ/F59 9.9626 Tf 42.111 0 Td [(A)]TJ/F54 9.9626 Tf 5.231 0 Td [(bort,)-202(default)]TJ/F59 9.9626 Tf 55.839 0 Td [(I)]TJ/F54 9.9626 Tf 5.231 0 Td [(gnor)18(e.)]TJ +/F57 9.9626 Tf 21.021 0 Td [(speci\002es)-250(action)-250(to)-250(be)-250(taken)-250(in)-250(case)-250(of)-250(range)-250(err)18(ors.)-310(Scope:)]TJ/F54 9.9626 Tf 253.796 0 Td [(global)]TJ/F57 9.9626 Tf -249.91 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(optional)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.956 Td [(Speci\002ed)-190(as:)-280(a)-190(character)-190(variable)]TJ/F62 9.9626 Tf 143.341 0 Td [(I)]TJ/F57 9.9626 Tf 5.23 0 Td [(gnor)18(e,)]TJ/F62 9.9626 Tf 29.808 0 Td [(W)]TJ/F57 9.9626 Tf 5.231 0 Td [(arning)-190(or)]TJ/F62 9.9626 Tf 42.111 0 Td [(A)]TJ/F57 9.9626 Tf 5.231 0 Td [(bort,)-202(default)]TJ/F62 9.9626 Tf 55.839 0 Td [(I)]TJ/F57 9.9626 Tf 5.231 0 Td [(gnor)18(e.)]TJ 0 g 0 G -/F51 9.9626 Tf -316.929 -19.601 Td [(owned)]TJ +/F54 9.9626 Tf -316.929 -19.601 Td [(owned)]TJ 0 g 0 G -/F54 9.9626 Tf 35.975 0 Td [(Spec\002es)-250(valid)-250(range)-250(of)-250(input)-250(Scope:)]TJ/F51 9.9626 Tf 159.54 0 Td [(global)]TJ/F54 9.9626 Tf -170.608 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(optional)]TJ/F54 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(If)-320(tr)8(ue,)-337(then)-320(only)-320(indices)-320(strictly)-320(owned)-320(by)-320(the)-319(curr)18(ent)-320(pr)18(ocess)-320(ar)18(e)-320(con-)]TJ 0 -11.955 Td [(sider)18(ed)-250(valid,)-250(if)-250(false)-250(then)-250(halo)-250(indices)-250(ar)18(e)-250(also)-250(accepted.)-310(Default:)-310(false.)]TJ +/F57 9.9626 Tf 35.975 0 Td [(Spec\002es)-250(valid)-250(range)-250(of)-250(input)-250(Scope:)]TJ/F54 9.9626 Tf 159.54 0 Td [(global)]TJ/F57 9.9626 Tf -170.608 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(optional)]TJ/F57 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(If)-320(tr)8(ue,)-337(then)-320(only)-320(indices)-320(strictly)-320(owned)-320(by)-320(the)-319(curr)18(ent)-320(pr)18(ocess)-320(ar)18(e)-320(con-)]TJ 0 -11.955 Td [(sider)18(ed)-250(valid,)-250(if)-250(false)-250(then)-250(halo)-250(indices)-250(ar)18(e)-250(also)-250(accepted.)-310(Default:)-310(false.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.907 -21.109 Td [(On)-250(Return)]TJ +/F54 9.9626 Tf -24.907 -21.109 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -19.601 Td [(x)]TJ 0 g 0 G -/F54 9.9626 Tf 9.963 0 Td [(If)]TJ/F52 9.9626 Tf 9.727 0 Td [(y)]TJ/F54 9.9626 Tf 8.032 0 Td [(is)-294(not)-294(pr)18(esent,)-304(then)]TJ/F52 9.9626 Tf 88.385 0 Td [(x)]TJ/F54 9.9626 Tf 8.132 0 Td [(is)-294(overwritten)-294(with)-293(the)-294(translated)-294(integer)-294(indices.)]TJ -99.332 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(global)]TJ/F54 9.9626 Tf -31.432 -11.956 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(inout)]TJ/F54 9.9626 Tf 24.349 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(rank)-250(one)-250(integer)-250(array)111(.)]TJ +/F57 9.9626 Tf 9.963 0 Td [(If)]TJ/F55 9.9626 Tf 9.727 0 Td [(y)]TJ/F57 9.9626 Tf 8.032 0 Td [(is)-294(not)-294(pr)18(esent,)-304(then)]TJ/F55 9.9626 Tf 88.385 0 Td [(x)]TJ/F57 9.9626 Tf 8.132 0 Td [(is)-294(overwritten)-294(with)-293(the)-294(translated)-294(integer)-294(indices.)]TJ -99.332 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(global)]TJ/F57 9.9626 Tf -31.432 -11.956 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(inout)]TJ/F57 9.9626 Tf 24.349 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(rank)-250(one)-250(integer)-250(array)111(.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.907 -19.602 Td [(y)]TJ +/F54 9.9626 Tf -24.907 -19.602 Td [(y)]TJ 0 g 0 G -/F54 9.9626 Tf 10.521 0 Td [(If)]TJ/F52 9.9626 Tf 9.521 0 Td [(y)]TJ/F54 9.9626 Tf 7.827 0 Td [(is)-273(pr)18(esent,)-279(then)]TJ/F52 9.9626 Tf 70.133 0 Td [(y)]TJ/F54 9.9626 Tf 7.827 0 Td [(is)-273(overwritten)-273(with)-273(the)-273(translated)-274(integer)-273(indices,)-279(and)]TJ/F52 9.9626 Tf -80.628 -11.955 Td [(x)]TJ/F54 9.9626 Tf 7.696 0 Td [(is)-250(left)-250(unchanged.)-310(Scope:)]TJ/F51 9.9626 Tf 112.557 0 Td [(global)]TJ/F54 9.9626 Tf -120.547 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(optional)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(rank)-250(one)-250(integer)-250(array)111(.)]TJ +/F57 9.9626 Tf 10.521 0 Td [(If)]TJ/F55 9.9626 Tf 9.521 0 Td [(y)]TJ/F57 9.9626 Tf 7.827 0 Td [(is)-273(pr)18(esent,)-279(then)]TJ/F55 9.9626 Tf 70.133 0 Td [(y)]TJ/F57 9.9626 Tf 7.827 0 Td [(is)-273(overwritten)-273(with)-273(the)-273(translated)-274(integer)-273(indices,)-279(and)]TJ/F55 9.9626 Tf -80.628 -11.955 Td [(x)]TJ/F57 9.9626 Tf 7.696 0 Td [(is)-250(left)-250(unchanged.)-310(Scope:)]TJ/F54 9.9626 Tf 112.557 0 Td [(global)]TJ/F57 9.9626 Tf -120.547 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(optional)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(out)]TJ/F57 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(rank)-250(one)-250(integer)-250(array)111(.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.907 -19.602 Td [(info)]TJ +/F54 9.9626 Tf -24.907 -19.602 Td [(info)]TJ 0 g 0 G -/F54 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ/F51 11.9552 Tf -24.907 -21.108 Td [(Notes)]TJ +/F57 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(out)]TJ/F57 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ/F54 11.9552 Tf -24.907 -21.108 Td [(Notes)]TJ 0 g 0 G -/F54 9.9626 Tf 166.875 -29.888 Td [(95)]TJ +/F57 9.9626 Tf 166.875 -29.888 Td [(95)]TJ 0 g 0 G ET @@ -18937,13 +18937,13 @@ stream 0 g 0 G 0 g 0 G BT -/F54 9.9626 Tf 163.158 706.129 Td [(1.)]TJ +/F57 9.9626 Tf 163.158 706.129 Td [(1.)]TJ 0 g 0 G [-500(If)-272(an)-273(input)-272(index)-272(is)-273(out)-272(of)-273(range)1(,)-278(then)-273(the)-272(corr)18(esponding)-272(output)-273(index)-272(is)]TJ 12.453 -11.955 Td [(set)-250(to)-250(a)-250(negative)-250(number;)]TJ 0 g 0 G -12.453 -19.926 Td [(2.)]TJ 0 g 0 G - [-500(The)-416(default)]TJ/F59 9.9626 Tf 68.74 0 Td [(I)]TJ/F54 9.9626 Tf 5.23 0 Td [(gnor)18(e)-416(means)-417(that)-416(the)-417(negative)-416(output)-416(is)-417(the)-416(only)-416(action)]TJ -61.517 -11.955 Td [(taken)-250(on)-250(an)-250(out-of-range)-250(input.)]TJ + [-500(The)-416(default)]TJ/F62 9.9626 Tf 68.74 0 Td [(I)]TJ/F57 9.9626 Tf 5.23 0 Td [(gnor)18(e)-416(means)-417(that)-416(the)-417(negative)-416(output)-416(is)-417(the)-416(only)-416(action)]TJ -61.517 -11.955 Td [(taken)-250(on)-250(an)-250(out-of-range)-250(input.)]TJ 0 g 0 G 141.968 -571.855 Td [(96)]TJ 0 g 0 G @@ -18959,90 +18959,90 @@ stream 0 g 0 G 0 g 0 G BT -/F51 11.9552 Tf 99.895 706.129 Td [(6.18)-1000(psb)]TJ +/F54 11.9552 Tf 99.895 706.129 Td [(6.18)-1000(psb)]TJ ET q 1 0 0 1 153.407 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F51 11.9552 Tf 156.993 706.129 Td [(loc)]TJ +/F54 11.9552 Tf 156.993 706.129 Td [(loc)]TJ ET q 1 0 0 1 173.646 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F51 11.9552 Tf 177.233 706.129 Td [(to)]TJ +/F54 11.9552 Tf 177.233 706.129 Td [(to)]TJ ET q 1 0 0 1 188.578 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F51 11.9552 Tf 192.165 706.129 Td [(glob)-250(\227)-250(Local)-250(to)-250(global)-250(indices)-250(conversion)]TJ +/F54 11.9552 Tf 192.165 706.129 Td [(glob)-250(\227)-250(Local)-250(to)-250(global)-250(indices)-250(conversion)]TJ 0 g 0 G 0 g 0 G -/F59 9.9626 Tf -92.27 -18.964 Td [(call)-525(psb_loc_to_glob\050x,)-525(y,)-525(desc_a,)-525(info,)-525(iact\051)]TJ 0 -11.955 Td [(call)-525(psb_loc_to_glob\050x,)-525(desc_a,)-525(info,)-525(iact\051)]TJ +/F62 9.9626 Tf -92.27 -18.964 Td [(call)-525(psb_loc_to_glob\050x,)-525(y,)-525(desc_a,)-525(info,)-525(iact\051)]TJ 0 -11.955 Td [(call)-525(psb_loc_to_glob\050x,)-525(desc_a,)-525(info,)-525(iact\051)]TJ 0 g 0 G -/F51 9.9626 Tf 0 -21.918 Td [(T)90(ype:)]TJ +/F54 9.9626 Tf 0 -21.918 Td [(T)90(ype:)]TJ 0 g 0 G -/F54 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ +/F57 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ 0 g 0 G -/F51 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ +/F54 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -19.925 Td [(x)]TJ 0 g 0 G -/F54 9.9626 Tf 9.963 0 Td [(An)-250(integer)-250(vector)-250(of)-250(indices)-250(to)-250(be)-250(converted.)]TJ 14.944 -11.956 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in,)-250(inout)]TJ/F54 9.9626 Tf 38.735 0 Td [(.)]TJ -70.535 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(rank)-250(one)-250(integer)-250(array)111(.)]TJ +/F57 9.9626 Tf 9.963 0 Td [(An)-250(integer)-250(vector)-250(of)-250(indices)-250(to)-250(be)-250(converted.)]TJ 14.944 -11.956 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in,)-250(inout)]TJ/F57 9.9626 Tf 38.735 0 Td [(.)]TJ -70.535 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(rank)-250(one)-250(integer)-250(array)111(.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.907 -31.881 Td [(desc)]TJ +/F54 9.9626 Tf -24.907 -31.881 Td [(desc)]TJ ET q 1 0 0 1 120.408 533.94 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 123.397 533.74 Td [(a)]TJ +/F54 9.9626 Tf 123.397 533.74 Td [(a)]TJ 0 g 0 G -/F54 9.9626 Tf 9.963 0 Td [(the)-250(communication)-250(descriptor)74(.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 28.343 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -49.922 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 24 0 Td [(required)]TJ/F54 9.9626 Tf 39.292 0 Td [(.)]TJ -63.292 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ +/F57 9.9626 Tf 9.963 0 Td [(the)-250(communication)-250(descriptor)74(.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 28.343 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ -49.922 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 24 0 Td [(required)]TJ/F57 9.9626 Tf 39.292 0 Td [(.)]TJ -63.292 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 168.138 0 Td [(psb)]TJ +/F62 9.9626 Tf 168.138 0 Td [(psb)]TJ ET q 1 0 0 1 309.258 486.119 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 312.397 485.92 Td [(desc)]TJ +/F62 9.9626 Tf 312.397 485.92 Td [(desc)]TJ ET q 1 0 0 1 333.945 486.119 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 337.084 485.92 Td [(type)]TJ +/F62 9.9626 Tf 337.084 485.92 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf 20.921 0 Td [(.)]TJ +/F57 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -258.11 -19.926 Td [(iact)]TJ +/F54 9.9626 Tf -258.11 -19.926 Td [(iact)]TJ 0 g 0 G -/F54 9.9626 Tf 21.021 0 Td [(speci\002es)-250(action)-250(to)-250(be)-250(taken)-250(in)-250(case)-250(of)-250(range)-250(err)18(ors.)-310(Scope:)]TJ/F51 9.9626 Tf 253.796 0 Td [(global)]TJ/F54 9.9626 Tf -249.91 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(optional)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-190(as:)-280(a)-190(character)-190(variable)]TJ/F59 9.9626 Tf 143.341 0 Td [(I)]TJ/F54 9.9626 Tf 5.23 0 Td [(gnor)18(e,)]TJ/F59 9.9626 Tf 29.808 0 Td [(W)]TJ/F54 9.9626 Tf 5.231 0 Td [(arning)-190(or)]TJ/F59 9.9626 Tf 42.111 0 Td [(A)]TJ/F54 9.9626 Tf 5.231 0 Td [(bort,)-202(default)]TJ/F59 9.9626 Tf 55.839 0 Td [(I)]TJ/F54 9.9626 Tf 5.231 0 Td [(gnor)18(e.)]TJ +/F57 9.9626 Tf 21.021 0 Td [(speci\002es)-250(action)-250(to)-250(be)-250(taken)-250(in)-250(case)-250(of)-250(range)-250(err)18(ors.)-310(Scope:)]TJ/F54 9.9626 Tf 253.796 0 Td [(global)]TJ/F57 9.9626 Tf -249.91 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(optional)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-190(as:)-280(a)-190(character)-190(variable)]TJ/F62 9.9626 Tf 143.341 0 Td [(I)]TJ/F57 9.9626 Tf 5.23 0 Td [(gnor)18(e,)]TJ/F62 9.9626 Tf 29.808 0 Td [(W)]TJ/F57 9.9626 Tf 5.231 0 Td [(arning)-190(or)]TJ/F62 9.9626 Tf 42.111 0 Td [(A)]TJ/F57 9.9626 Tf 5.231 0 Td [(bort,)-202(default)]TJ/F62 9.9626 Tf 55.839 0 Td [(I)]TJ/F57 9.9626 Tf 5.231 0 Td [(gnor)18(e.)]TJ 0 g 0 G -/F51 9.9626 Tf -316.929 -21.918 Td [(On)-250(Return)]TJ +/F54 9.9626 Tf -316.929 -21.918 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -19.925 Td [(x)]TJ 0 g 0 G -/F54 9.9626 Tf 9.963 0 Td [(If)]TJ/F52 9.9626 Tf 9.727 0 Td [(y)]TJ/F54 9.9626 Tf 8.032 0 Td [(is)-294(not)-294(pr)18(esent,)-304(then)]TJ/F52 9.9626 Tf 88.385 0 Td [(x)]TJ/F54 9.9626 Tf 8.132 0 Td [(is)-294(overwritten)-294(with)-293(the)-294(translated)-294(integer)-294(indices.)]TJ -99.332 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(global)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(inout)]TJ/F54 9.9626 Tf 24.349 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(rank)-250(one)-250(integer)-250(array)111(.)]TJ +/F57 9.9626 Tf 9.963 0 Td [(If)]TJ/F55 9.9626 Tf 9.727 0 Td [(y)]TJ/F57 9.9626 Tf 8.032 0 Td [(is)-294(not)-294(pr)18(esent,)-304(then)]TJ/F55 9.9626 Tf 88.385 0 Td [(x)]TJ/F57 9.9626 Tf 8.132 0 Td [(is)-294(overwritten)-294(with)-293(the)-294(translated)-294(integer)-294(indices.)]TJ -99.332 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(global)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(inout)]TJ/F57 9.9626 Tf 24.349 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(rank)-250(one)-250(integer)-250(array)111(.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.907 -19.925 Td [(y)]TJ +/F54 9.9626 Tf -24.907 -19.925 Td [(y)]TJ 0 g 0 G -/F54 9.9626 Tf 10.521 0 Td [(If)]TJ/F52 9.9626 Tf 9.705 0 Td [(y)]TJ/F54 9.9626 Tf 8.011 0 Td [(is)-292(not)-291(pr)18(esent,)-302(then)]TJ/F52 9.9626 Tf 88.122 0 Td [(y)]TJ/F54 9.9626 Tf 8.011 0 Td [(is)-292(overwritten)-291(with)-292(the)-291(translated)-292(integer)-292(indice)1(s,)]TJ -99.463 -11.955 Td [(and)]TJ/F52 9.9626 Tf 19.651 0 Td [(x)]TJ/F54 9.9626 Tf 7.696 0 Td [(is)-250(left)-250(unchanged.)-310(Scope:)]TJ/F51 9.9626 Tf 112.557 0 Td [(global)]TJ/F54 9.9626 Tf -139.904 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(optional)]TJ/F54 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(rank)-250(one)-250(integer)-250(array)111(.)]TJ +/F57 9.9626 Tf 10.521 0 Td [(If)]TJ/F55 9.9626 Tf 9.705 0 Td [(y)]TJ/F57 9.9626 Tf 8.011 0 Td [(is)-292(not)-291(pr)18(esent,)-302(then)]TJ/F55 9.9626 Tf 88.122 0 Td [(y)]TJ/F57 9.9626 Tf 8.011 0 Td [(is)-292(overwritten)-291(with)-292(the)-291(translated)-292(integer)-292(indice)1(s,)]TJ -99.463 -11.955 Td [(and)]TJ/F55 9.9626 Tf 19.651 0 Td [(x)]TJ/F57 9.9626 Tf 7.696 0 Td [(is)-250(left)-250(unchanged.)-310(Scope:)]TJ/F54 9.9626 Tf 112.557 0 Td [(global)]TJ/F57 9.9626 Tf -139.904 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(optional)]TJ/F57 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(out)]TJ/F57 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(rank)-250(one)-250(integer)-250(array)111(.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.907 -19.925 Td [(info)]TJ +/F54 9.9626 Tf -24.907 -19.925 Td [(info)]TJ 0 g 0 G -/F54 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ +/F57 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(out)]TJ/F57 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ 0 g 0 G 141.968 -114.535 Td [(97)]TJ 0 g 0 G @@ -19058,75 +19058,75 @@ stream 0 g 0 G 0 g 0 G BT -/F51 11.9552 Tf 150.705 706.129 Td [(6.19)-1000(psb)]TJ +/F54 11.9552 Tf 150.705 706.129 Td [(6.19)-1000(psb)]TJ ET q 1 0 0 1 204.216 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F51 11.9552 Tf 207.803 706.129 Td [(is)]TJ +/F54 11.9552 Tf 207.803 706.129 Td [(is)]TJ ET q 1 0 0 1 217.809 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F51 11.9552 Tf 221.396 706.129 Td [(owned)-250(\227)]TJ +/F54 11.9552 Tf 221.396 706.129 Td [(owned)-250(\227)]TJ 0 g 0 G 0 g 0 G -/F59 9.9626 Tf -70.691 -18.964 Td [(call)-525(psb_is_owned\050x,)-525(desc_a\051)]TJ +/F62 9.9626 Tf -70.691 -18.964 Td [(call)-525(psb_is_owned\050x,)-525(desc_a\051)]TJ 0 g 0 G -/F51 9.9626 Tf 0 -21.918 Td [(T)90(ype:)]TJ +/F54 9.9626 Tf 0 -21.918 Td [(T)90(ype:)]TJ 0 g 0 G -/F54 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ +/F57 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ 0 g 0 G -/F51 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ +/F54 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -19.925 Td [(x)]TJ 0 g 0 G -/F54 9.9626 Tf 9.963 0 Td [(Integer)-250(index.)]TJ 14.944 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.431 0 Td [(local)]TJ/F54 9.9626 Tf -31.431 -11.956 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(scalar)-250(integer)74(.)]TJ +/F57 9.9626 Tf 9.963 0 Td [(Integer)-250(index.)]TJ 14.944 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.431 0 Td [(local)]TJ/F57 9.9626 Tf -31.431 -11.956 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(scalar)-250(integer)74(.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.907 -31.88 Td [(desc)]TJ +/F54 9.9626 Tf -24.907 -31.88 Td [(desc)]TJ ET q 1 0 0 1 171.218 545.895 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 174.207 545.696 Td [(a)]TJ +/F54 9.9626 Tf 174.207 545.696 Td [(a)]TJ 0 g 0 G -/F54 9.9626 Tf 9.962 0 Td [(the)-250(communication)-250(descriptor)74(.)]TJ -8.558 -11.956 Td [(Scope:)]TJ/F51 9.9626 Tf 28.344 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -49.923 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 24 0 Td [(required)]TJ/F54 9.9626 Tf 39.293 0 Td [(.)]TJ -63.293 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(in)]TJ/F54 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ +/F57 9.9626 Tf 9.962 0 Td [(the)-250(communication)-250(descriptor)74(.)]TJ -8.558 -11.956 Td [(Scope:)]TJ/F54 9.9626 Tf 28.344 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ -49.923 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 24 0 Td [(required)]TJ/F57 9.9626 Tf 39.293 0 Td [(.)]TJ -63.293 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(in)]TJ/F57 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 168.138 0 Td [(psb)]TJ +/F62 9.9626 Tf 168.138 0 Td [(psb)]TJ ET q 1 0 0 1 360.068 498.074 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 363.206 497.875 Td [(desc)]TJ +/F62 9.9626 Tf 363.206 497.875 Td [(desc)]TJ ET q 1 0 0 1 384.755 498.074 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 387.893 497.875 Td [(type)]TJ +/F62 9.9626 Tf 387.893 497.875 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf 20.922 0 Td [(.)]TJ +/F57 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -258.11 -21.918 Td [(On)-250(Return)]TJ +/F54 9.9626 Tf -258.11 -21.918 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -19.925 Td [(Function)-250(value)]TJ 0 g 0 G -/F54 9.9626 Tf 72.777 0 Td [(A)-261(logical)-260(mask)-261(which)-261(is)-261(tr)8(ue)-261(if)]TJ/F52 9.9626 Tf 137.304 0 Td [(x)]TJ/F54 9.9626 Tf 7.803 0 Td [(is)-261(owned)-261(by)-260(the)-261(curr)18(ent)-261(pr)18(o-)]TJ -192.978 -11.955 Td [(cess)-250(Scope:)]TJ/F51 9.9626 Tf 51.567 0 Td [(local)]TJ/F54 9.9626 Tf -51.567 -11.956 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(required)]TJ/F54 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ/F51 11.9552 Tf -71.651 -33.873 Td [(Notes)]TJ +/F57 9.9626 Tf 72.777 0 Td [(A)-261(logical)-260(mask)-261(which)-261(is)-261(tr)8(ue)-261(if)]TJ/F55 9.9626 Tf 137.304 0 Td [(x)]TJ/F57 9.9626 Tf 7.803 0 Td [(is)-261(owned)-261(by)-260(the)-261(curr)18(ent)-261(pr)18(o-)]TJ -192.978 -11.955 Td [(cess)-250(Scope:)]TJ/F54 9.9626 Tf 51.567 0 Td [(local)]TJ/F57 9.9626 Tf -51.567 -11.956 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.089 0 Td [(required)]TJ/F57 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(out)]TJ/F57 9.9626 Tf 14.944 0 Td [(.)]TJ/F54 11.9552 Tf -71.651 -33.873 Td [(Notes)]TJ 0 g 0 G -/F54 9.9626 Tf 12.453 -19.925 Td [(1.)]TJ +/F57 9.9626 Tf 12.453 -19.925 Td [(1.)]TJ 0 g 0 G - [-500(This)-240(r)18(outine)-239(r)18(eturns)-240(a)]TJ/F59 9.9626 Tf 109.67 0 Td [(.true.)]TJ/F54 9.9626 Tf 33.769 0 Td [(value)-240(for)-239(an)-240(index)-239(that)-240(is)-239(strictly)-240(owned)-239(by)]TJ -130.986 -11.955 Td [(the)-250(curr)18(ent)-250(pr)18(ocess,)-250(excluding)-250(the)-250(halo)-250(indices)]TJ + [-500(This)-240(r)18(outine)-239(r)18(eturns)-240(a)]TJ/F62 9.9626 Tf 109.67 0 Td [(.true.)]TJ/F57 9.9626 Tf 33.769 0 Td [(value)-240(for)-239(an)-240(index)-239(that)-240(is)-239(strictly)-240(owned)-239(by)]TJ -130.986 -11.955 Td [(the)-250(curr)18(ent)-250(pr)18(ocess,)-250(excluding)-250(the)-250(halo)-250(indices)]TJ 0 g 0 G 141.968 -263.975 Td [(98)]TJ 0 g 0 G @@ -19142,83 +19142,83 @@ stream 0 g 0 G 0 g 0 G BT -/F51 11.9552 Tf 99.895 706.129 Td [(6.20)-1000(psb)]TJ +/F54 11.9552 Tf 99.895 706.129 Td [(6.20)-1000(psb)]TJ ET q 1 0 0 1 153.407 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F51 11.9552 Tf 156.993 706.129 Td [(owned)]TJ +/F54 11.9552 Tf 156.993 706.129 Td [(owned)]TJ ET q 1 0 0 1 194.903 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F51 11.9552 Tf 198.489 706.129 Td [(index)-250(\227)]TJ +/F54 11.9552 Tf 198.489 706.129 Td [(index)-250(\227)]TJ 0 g 0 G 0 g 0 G -/F59 9.9626 Tf -98.594 -18.964 Td [(call)-525(psb_owned_index\050y,)-525(x,)-525(desc_a,)-525(info\051)]TJ +/F62 9.9626 Tf -98.594 -18.964 Td [(call)-525(psb_owned_index\050y,)-525(x,)-525(desc_a,)-525(info\051)]TJ 0 g 0 G -/F51 9.9626 Tf 0 -21.918 Td [(T)90(ype:)]TJ +/F54 9.9626 Tf 0 -21.918 Td [(T)90(ype:)]TJ 0 g 0 G -/F54 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ +/F57 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ 0 g 0 G -/F51 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ +/F54 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -19.925 Td [(x)]TJ 0 g 0 G -/F54 9.9626 Tf 9.963 0 Td [(Integer)-250(indices.)]TJ 14.944 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.956 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in,)-250(inout)]TJ/F54 9.9626 Tf 38.735 0 Td [(.)]TJ -70.535 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(scalar)-250(or)-250(a)-250(rank)-250(one)-250(integer)-250(array)111(.)]TJ +/F57 9.9626 Tf 9.963 0 Td [(Integer)-250(indices.)]TJ 14.944 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.956 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in,)-250(inout)]TJ/F57 9.9626 Tf 38.735 0 Td [(.)]TJ -70.535 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(scalar)-250(or)-250(a)-250(rank)-250(one)-250(integer)-250(array)111(.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.907 -31.88 Td [(desc)]TJ +/F54 9.9626 Tf -24.907 -31.88 Td [(desc)]TJ ET q 1 0 0 1 120.408 545.895 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 123.397 545.696 Td [(a)]TJ +/F54 9.9626 Tf 123.397 545.696 Td [(a)]TJ 0 g 0 G -/F54 9.9626 Tf 9.963 0 Td [(the)-250(communication)-250(descriptor)74(.)]TJ -8.558 -11.956 Td [(Scope:)]TJ/F51 9.9626 Tf 28.343 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -49.922 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 24 0 Td [(required)]TJ/F54 9.9626 Tf 39.292 0 Td [(.)]TJ -63.292 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ +/F57 9.9626 Tf 9.963 0 Td [(the)-250(communication)-250(descriptor)74(.)]TJ -8.558 -11.956 Td [(Scope:)]TJ/F54 9.9626 Tf 28.343 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ -49.922 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 24 0 Td [(required)]TJ/F57 9.9626 Tf 39.292 0 Td [(.)]TJ -63.292 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 168.138 0 Td [(psb)]TJ +/F62 9.9626 Tf 168.138 0 Td [(psb)]TJ ET q 1 0 0 1 309.258 498.074 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 312.397 497.875 Td [(desc)]TJ +/F62 9.9626 Tf 312.397 497.875 Td [(desc)]TJ ET q 1 0 0 1 333.945 498.074 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 337.084 497.875 Td [(type)]TJ +/F62 9.9626 Tf 337.084 497.875 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf 20.921 0 Td [(.)]TJ +/F57 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -258.11 -19.925 Td [(iact)]TJ +/F54 9.9626 Tf -258.11 -19.925 Td [(iact)]TJ 0 g 0 G -/F54 9.9626 Tf 21.021 0 Td [(speci\002es)-250(action)-250(to)-250(be)-250(taken)-250(in)-250(case)-250(of)-250(range)-250(err)18(ors.)-310(Scope:)]TJ/F51 9.9626 Tf 253.796 0 Td [(global)]TJ/F54 9.9626 Tf -249.91 -11.956 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(optional)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-190(as:)-280(a)-190(character)-190(variable)]TJ/F59 9.9626 Tf 143.341 0 Td [(I)]TJ/F54 9.9626 Tf 5.23 0 Td [(gnor)18(e,)]TJ/F59 9.9626 Tf 29.808 0 Td [(W)]TJ/F54 9.9626 Tf 5.231 0 Td [(arning)-190(or)]TJ/F59 9.9626 Tf 42.111 0 Td [(A)]TJ/F54 9.9626 Tf 5.231 0 Td [(bort,)-202(default)]TJ/F59 9.9626 Tf 55.839 0 Td [(I)]TJ/F54 9.9626 Tf 5.231 0 Td [(gnor)18(e.)]TJ +/F57 9.9626 Tf 21.021 0 Td [(speci\002es)-250(action)-250(to)-250(be)-250(taken)-250(in)-250(case)-250(of)-250(range)-250(err)18(ors.)-310(Scope:)]TJ/F54 9.9626 Tf 253.796 0 Td [(global)]TJ/F57 9.9626 Tf -249.91 -11.956 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(optional)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-190(as:)-280(a)-190(character)-190(variable)]TJ/F62 9.9626 Tf 143.341 0 Td [(I)]TJ/F57 9.9626 Tf 5.23 0 Td [(gnor)18(e,)]TJ/F62 9.9626 Tf 29.808 0 Td [(W)]TJ/F57 9.9626 Tf 5.231 0 Td [(arning)-190(or)]TJ/F62 9.9626 Tf 42.111 0 Td [(A)]TJ/F57 9.9626 Tf 5.231 0 Td [(bort,)-202(default)]TJ/F62 9.9626 Tf 55.839 0 Td [(I)]TJ/F57 9.9626 Tf 5.231 0 Td [(gnor)18(e.)]TJ 0 g 0 G -/F51 9.9626 Tf -316.929 -21.918 Td [(On)-250(Return)]TJ +/F54 9.9626 Tf -316.929 -21.918 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -19.925 Td [(y)]TJ 0 g 0 G -/F54 9.9626 Tf 10.521 0 Td [(A)-200(logical)-200(mask)-200(which)-201(is)-200(tr)8(ue)-200(for)-200(all)-200(corr)18(esponding)-200(entries)-200(of)]TJ/F52 9.9626 Tf 260.812 0 Td [(x)]TJ/F54 9.9626 Tf 7.2 0 Td [(that)-200(ar)18(e)-200(owned)]TJ -253.626 -11.955 Td [(by)-250(the)-250(curr)18(ent)-250(pr)18(ocess)-250(Scope:)]TJ/F51 9.9626 Tf 131.027 0 Td [(local)]TJ/F54 9.9626 Tf -131.027 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(scalar)-250(or)-250(rank)-250(one)-250(logical)-250(array)111(.)]TJ +/F57 9.9626 Tf 10.521 0 Td [(A)-200(logical)-200(mask)-200(which)-201(is)-200(tr)8(ue)-200(for)-200(all)-200(corr)18(esponding)-200(entries)-200(of)]TJ/F55 9.9626 Tf 260.812 0 Td [(x)]TJ/F57 9.9626 Tf 7.2 0 Td [(that)-200(ar)18(e)-200(owned)]TJ -253.626 -11.955 Td [(by)-250(the)-250(curr)18(ent)-250(pr)18(ocess)-250(Scope:)]TJ/F54 9.9626 Tf 131.027 0 Td [(local)]TJ/F57 9.9626 Tf -131.027 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(out)]TJ/F57 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(scalar)-250(or)-250(rank)-250(one)-250(logical)-250(array)111(.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.907 -19.925 Td [(info)]TJ +/F54 9.9626 Tf -24.907 -19.925 Td [(info)]TJ 0 g 0 G -/F54 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.956 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ/F51 11.9552 Tf -24.907 -21.917 Td [(Notes)]TJ +/F57 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(out)]TJ/F57 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.956 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ/F54 11.9552 Tf -24.907 -21.917 Td [(Notes)]TJ 0 g 0 G -/F54 9.9626 Tf 12.454 -19.926 Td [(1.)]TJ +/F57 9.9626 Tf 12.454 -19.926 Td [(1.)]TJ 0 g 0 G - [-500(This)-429(r)18(outine)-428(r)18(eturns)-429(a)]TJ/F59 9.9626 Tf 117.209 0 Td [(.true.)]TJ/F54 9.9626 Tf 35.654 0 Td [(value)-429(for)-428(those)-429(indices)-429(that)-429(ar)18(e)-428(strictly)]TJ -140.41 -11.955 Td [(owned)-250(by)-250(the)-250(curr)18(ent)-250(pr)18(ocess,)-250(excluding)-250(the)-250(halo)-250(indices)]TJ + [-500(This)-429(r)18(outine)-428(r)18(eturns)-429(a)]TJ/F62 9.9626 Tf 117.209 0 Td [(.true.)]TJ/F57 9.9626 Tf 35.654 0 Td [(value)-429(for)-428(those)-429(indices)-429(that)-429(ar)18(e)-428(strictly)]TJ -140.41 -11.955 Td [(owned)-250(by)-250(the)-250(curr)18(ent)-250(pr)18(ocess,)-250(excluding)-250(the)-250(halo)-250(indices)]TJ 0 g 0 G 141.968 -140.438 Td [(99)]TJ 0 g 0 G @@ -19234,75 +19234,75 @@ stream 0 g 0 G 0 g 0 G BT -/F51 11.9552 Tf 150.705 706.129 Td [(6.21)-1000(psb)]TJ +/F54 11.9552 Tf 150.705 706.129 Td [(6.21)-1000(psb)]TJ ET q 1 0 0 1 204.216 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F51 11.9552 Tf 207.803 706.129 Td [(is)]TJ +/F54 11.9552 Tf 207.803 706.129 Td [(is)]TJ ET q 1 0 0 1 217.809 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F51 11.9552 Tf 221.396 706.129 Td [(local)-250(\227)]TJ +/F54 11.9552 Tf 221.396 706.129 Td [(local)-250(\227)]TJ 0 g 0 G 0 g 0 G -/F59 9.9626 Tf -70.691 -18.964 Td [(call)-525(psb_is_local\050x,)-525(desc_a\051)]TJ +/F62 9.9626 Tf -70.691 -18.964 Td [(call)-525(psb_is_local\050x,)-525(desc_a\051)]TJ 0 g 0 G -/F51 9.9626 Tf 0 -21.918 Td [(T)90(ype:)]TJ +/F54 9.9626 Tf 0 -21.918 Td [(T)90(ype:)]TJ 0 g 0 G -/F54 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ +/F57 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ 0 g 0 G -/F51 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ +/F54 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -19.925 Td [(x)]TJ 0 g 0 G -/F54 9.9626 Tf 9.963 0 Td [(Integer)-250(index.)]TJ 14.944 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.431 0 Td [(local)]TJ/F54 9.9626 Tf -31.431 -11.956 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(scalar)-250(integer)74(.)]TJ +/F57 9.9626 Tf 9.963 0 Td [(Integer)-250(index.)]TJ 14.944 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.431 0 Td [(local)]TJ/F57 9.9626 Tf -31.431 -11.956 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(scalar)-250(integer)74(.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.907 -31.88 Td [(desc)]TJ +/F54 9.9626 Tf -24.907 -31.88 Td [(desc)]TJ ET q 1 0 0 1 171.218 545.895 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 174.207 545.696 Td [(a)]TJ +/F54 9.9626 Tf 174.207 545.696 Td [(a)]TJ 0 g 0 G -/F54 9.9626 Tf 9.962 0 Td [(the)-250(communication)-250(descriptor)74(.)]TJ -8.558 -11.956 Td [(Scope:)]TJ/F51 9.9626 Tf 28.344 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -49.923 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 24 0 Td [(required)]TJ/F54 9.9626 Tf 39.293 0 Td [(.)]TJ -63.293 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(in)]TJ/F54 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ +/F57 9.9626 Tf 9.962 0 Td [(the)-250(communication)-250(descriptor)74(.)]TJ -8.558 -11.956 Td [(Scope:)]TJ/F54 9.9626 Tf 28.344 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ -49.923 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 24 0 Td [(required)]TJ/F57 9.9626 Tf 39.293 0 Td [(.)]TJ -63.293 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(in)]TJ/F57 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 168.138 0 Td [(psb)]TJ +/F62 9.9626 Tf 168.138 0 Td [(psb)]TJ ET q 1 0 0 1 360.068 498.074 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 363.206 497.875 Td [(desc)]TJ +/F62 9.9626 Tf 363.206 497.875 Td [(desc)]TJ ET q 1 0 0 1 384.755 498.074 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 387.893 497.875 Td [(type)]TJ +/F62 9.9626 Tf 387.893 497.875 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf 20.922 0 Td [(.)]TJ +/F57 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -258.11 -21.918 Td [(On)-250(Return)]TJ +/F54 9.9626 Tf -258.11 -21.918 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -19.925 Td [(Function)-250(value)]TJ 0 g 0 G -/F54 9.9626 Tf 72.777 0 Td [(A)-244(logical)-244(mask)-243(which)-244(is)-244(tr)8(ue)-244(if)]TJ/F52 9.9626 Tf 136.118 0 Td [(x)]TJ/F54 9.9626 Tf 7.635 0 Td [(is)-244(local)-244(to)-243(the)-244(curr)18(ent)-244(pr)18(ocess)]TJ -191.623 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.431 0 Td [(local)]TJ/F54 9.9626 Tf -31.431 -11.956 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ/F51 11.9552 Tf -71.651 -33.873 Td [(Notes)]TJ +/F57 9.9626 Tf 72.777 0 Td [(A)-244(logical)-244(mask)-243(which)-244(is)-244(tr)8(ue)-244(if)]TJ/F55 9.9626 Tf 136.118 0 Td [(x)]TJ/F57 9.9626 Tf 7.635 0 Td [(is)-244(local)-244(to)-243(the)-244(curr)18(ent)-244(pr)18(ocess)]TJ -191.623 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.431 0 Td [(local)]TJ/F57 9.9626 Tf -31.431 -11.956 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(out)]TJ/F57 9.9626 Tf 14.944 0 Td [(.)]TJ/F54 11.9552 Tf -71.651 -33.873 Td [(Notes)]TJ 0 g 0 G -/F54 9.9626 Tf 12.453 -19.925 Td [(1.)]TJ +/F57 9.9626 Tf 12.453 -19.925 Td [(1.)]TJ 0 g 0 G - [-500(This)-199(r)18(outine)-200(r)18(eturns)-199(a)]TJ/F59 9.9626 Tf 108.069 0 Td [(.true.)]TJ/F54 9.9626 Tf 33.369 0 Td [(value)-199(for)-200(an)-199(index)-199(that)-200(is)-199(local)-200(to)-199(the)-199(curr)18(ent)]TJ -128.984 -11.955 Td [(pr)18(ocess,)-250(including)-250(the)-250(halo)-250(indices)]TJ + [-500(This)-199(r)18(outine)-200(r)18(eturns)-199(a)]TJ/F62 9.9626 Tf 108.069 0 Td [(.true.)]TJ/F57 9.9626 Tf 33.369 0 Td [(value)-199(for)-200(an)-199(index)-199(that)-200(is)-199(local)-200(to)-199(the)-199(curr)18(ent)]TJ -128.984 -11.955 Td [(pr)18(ocess,)-250(including)-250(the)-250(halo)-250(indices)]TJ 0 g 0 G 139.476 -263.975 Td [(100)]TJ 0 g 0 G @@ -19318,83 +19318,83 @@ stream 0 g 0 G 0 g 0 G BT -/F51 11.9552 Tf 99.895 706.129 Td [(6.22)-1000(psb)]TJ +/F54 11.9552 Tf 99.895 706.129 Td [(6.22)-1000(psb)]TJ ET q 1 0 0 1 153.407 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F51 11.9552 Tf 156.993 706.129 Td [(local)]TJ +/F54 11.9552 Tf 156.993 706.129 Td [(local)]TJ ET q 1 0 0 1 183.605 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F51 11.9552 Tf 187.192 706.129 Td 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[(the)-250(matrix)-250(fr)18(om)-250(which)-250(to)-250(get)-250(r)18(ows.)]TJ 14.944 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 28.343 0 Td [(local)]TJ/F57 9.9626 Tf -28.343 -11.956 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 23.999 0 Td [(required)]TJ/F57 9.9626 Tf -23.999 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 168.137 0 Td [(psb)]TJ +/F62 9.9626 Tf 168.137 0 Td [(psb)]TJ ET q 1 0 0 1 360.068 495.976 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 363.206 495.777 Td [(Tspmat)]TJ +/F62 9.9626 Tf 363.206 495.777 Td [(Tspmat)]TJ ET q 1 0 0 1 395.216 495.976 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 398.354 495.777 Td [(type)]TJ +/F62 9.9626 Tf 398.354 495.777 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf 20.921 0 Td [(.)]TJ +/F57 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -268.57 -20.421 Td [(append)]TJ +/F54 9.9626 Tf -268.57 -20.421 Td [(append)]TJ 0 g 0 G -/F54 9.9626 Tf 39.292 0 Td [(Whether)-250(to)-250(append)-250(or)-250(overwrite)-250(existing)-250(output.)]TJ -14.386 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 28.344 0 Td [(local)]TJ/F54 9.9626 Tf -28.344 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 24 0 Td [(optional)]TJ/F54 9.9626 Tf -24 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(in)]TJ/F54 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(logical)-250(value)-250(default:)-310(false)-250(\050overwrite\051.)]TJ +/F57 9.9626 Tf 39.292 0 Td [(Whether)-250(to)-250(append)-250(or)-250(overwrite)-250(existing)-250(output.)]TJ -14.386 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 28.344 0 Td [(local)]TJ/F57 9.9626 Tf -28.344 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 24 0 Td [(optional)]TJ/F57 9.9626 Tf -24 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(in)]TJ/F57 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(logical)-250(value)-250(default:)-310(false)-250(\050overwrite\051.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.906 -20.421 Td [(nzin)]TJ +/F54 9.9626 Tf -24.906 -20.421 Td [(nzin)]TJ 0 g 0 G -/F54 9.9626 Tf 25.454 0 Td [(Input)-250(size)-250(to)-250(be)-250(appended)-250(to.)]TJ -0.548 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 28.344 0 Td [(local)]TJ/F54 9.9626 Tf -28.344 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 24 0 Td [(optional)]TJ/F54 9.9626 Tf -24 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(in)]TJ/F54 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-304(as:)-417(an)-303(integer)]TJ/F61 10.3811 Tf 106.988 0 Td [(>)]TJ/F54 9.9626 Tf 11.949 0 Td [(0.)-471(When)-303(append)-303(is)-304(tr)8(ue,)-317(speci\002es)-303(how)-304(many)]TJ -118.937 -11.955 Td [(entries)-250(in)-250(the)-250(output)-250(vectors)-250(ar)18(e)-250(alr)18(eady)-250(\002lled.)]TJ +/F57 9.9626 Tf 25.454 0 Td [(Input)-250(size)-250(to)-250(be)-250(appended)-250(to.)]TJ -0.548 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 28.344 0 Td [(local)]TJ/F57 9.9626 Tf -28.344 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 24 0 Td [(optional)]TJ/F57 9.9626 Tf -24 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(in)]TJ/F57 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-304(as:)-417(an)-303(integer)]TJ/F64 10.3811 Tf 106.988 0 Td [(>)]TJ/F57 9.9626 Tf 11.949 0 Td [(0.)-471(When)-303(append)-303(is)-304(tr)8(ue,)-317(speci\002es)-303(how)-304(many)]TJ -118.937 -11.955 Td [(entries)-250(in)-250(the)-250(output)-250(vectors)-250(ar)18(e)-250(alr)18(eady)-250(\002lled.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.906 -20.421 Td [(lrw)]TJ +/F54 9.9626 Tf -24.906 -20.421 Td [(lrw)]TJ 0 g 0 G -/F54 9.9626 Tf 20.473 0 Td [(The)-250(last)-250(r)18(ow)-250(to)-250(be)-250(extracted.)]TJ 4.433 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 28.344 0 Td [(local)]TJ/F54 9.9626 Tf -28.344 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 24 0 Td [(optional)]TJ/F54 9.9626 Tf -24 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(in)]TJ/F54 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)]TJ/F61 10.3811 Tf 104.323 0 Td [(>)]TJ/F54 9.9626 Tf 10.962 0 Td [(0,)-250(default:)]TJ/F52 9.9626 Tf 46.878 0 Td [(r)-17(o)-35(w)]TJ/F54 9.9626 Tf 16.134 0 Td [(.)]TJ +/F57 9.9626 Tf 20.473 0 Td [(The)-250(last)-250(r)18(ow)-250(to)-250(be)-250(extracted.)]TJ 4.433 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 28.344 0 Td [(local)]TJ/F57 9.9626 Tf -28.344 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 24 0 Td [(optional)]TJ/F57 9.9626 Tf -24 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(in)]TJ/F57 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)]TJ/F64 10.3811 Tf 104.323 0 Td [(>)]TJ/F57 9.9626 Tf 10.962 0 Td [(0,)-250(default:)]TJ/F55 9.9626 Tf 46.878 0 Td [(r)-17(o)-35(w)]TJ/F57 9.9626 Tf 16.134 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -203.203 -22.29 Td [(On)-250(Return)]TJ +/F54 9.9626 Tf -203.203 -22.29 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -20.42 Td [(nz)]TJ 0 g 0 G -/F54 9.9626 Tf 16.05 0 Td [(the)-250(number)-250(of)-250(elements)-250(r)18(eturned)-250(by)-250(this)-250(call.)]TJ 8.856 -11.956 Td [(Scope:)]TJ/F51 9.9626 Tf 28.344 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -49.923 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 24 0 Td [(required)]TJ/F54 9.9626 Tf 39.292 0 Td [(.)]TJ -63.292 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.745 -11.955 Td [(Returned)-250(as:)-310(an)-250(integer)-250(scalar)74(.)]TJ +/F57 9.9626 Tf 16.05 0 Td [(the)-250(number)-250(of)-250(elements)-250(r)18(eturned)-250(by)-250(this)-250(call.)]TJ 8.856 -11.956 Td [(Scope:)]TJ/F54 9.9626 Tf 28.344 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ -49.923 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 24 0 Td [(required)]TJ/F57 9.9626 Tf 39.292 0 Td [(.)]TJ -63.292 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(out)]TJ/F57 9.9626 Tf 14.944 0 Td [(.)]TJ -46.745 -11.955 Td [(Returned)-250(as:)-310(an)-250(integer)-250(scalar)74(.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.906 -20.421 Td [(ia)]TJ +/F54 9.9626 Tf -24.906 -20.421 Td [(ia)]TJ 0 g 0 G -/F54 9.9626 Tf 13.28 0 Td [(the)-250(r)18(ow)-250(indices.)]TJ 11.626 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 28.344 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -49.923 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 24 0 Td [(required)]TJ/F54 9.9626 Tf 39.293 0 Td [(.)]TJ -63.293 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(inout)]TJ/F54 9.9626 Tf 24.348 0 Td [(.)]TJ -56.149 -11.956 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(array)-250(with)-250(the)]TJ/F59 9.9626 Tf 169.114 0 Td [(ALLOCATABLE)]TJ/F54 9.9626 Tf 60.025 0 Td [(attribute.)]TJ +/F57 9.9626 Tf 13.28 0 Td [(the)-250(r)18(ow)-250(indices.)]TJ 11.626 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 28.344 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ -49.923 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 24 0 Td [(required)]TJ/F57 9.9626 Tf 39.293 0 Td [(.)]TJ -63.293 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(inout)]TJ/F57 9.9626 Tf 24.348 0 Td [(.)]TJ -56.149 -11.956 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(array)-250(with)-250(the)]TJ/F62 9.9626 Tf 169.114 0 Td [(ALLOCATABLE)]TJ/F57 9.9626 Tf 60.025 0 Td [(attribute.)]TJ 0 g 0 G -89.662 -29.887 Td [(104)]TJ 0 g 0 G @@ -20256,29 +20256,29 @@ stream 0 g 0 G 0 g 0 G BT -/F51 9.9626 Tf 99.895 706.129 Td [(ja)]TJ +/F54 9.9626 Tf 99.895 706.129 Td [(ja)]TJ 0 g 0 G -/F54 9.9626 Tf 13.281 0 Td [(the)-250(column)-250(indices)-250(of)-250(the)-250(elements)-250(to)-250(be)-250(inserted.)]TJ 11.626 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 28.343 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -49.922 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 24 0 Td [(required)]TJ/F54 9.9626 Tf 39.292 0 Td [(.)]TJ -63.292 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(inout)]TJ/F54 9.9626 Tf 24.349 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(array)-250(with)-250(the)]TJ/F59 9.9626 Tf 169.114 0 Td [(ALLOCATABLE)]TJ/F54 9.9626 Tf 60.024 0 Td [(attribute.)]TJ +/F57 9.9626 Tf 13.281 0 Td [(the)-250(column)-250(indices)-250(of)-250(the)-250(elements)-250(to)-250(be)-250(inserted.)]TJ 11.626 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 28.343 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ -49.922 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 24 0 Td [(required)]TJ/F57 9.9626 Tf 39.292 0 Td [(.)]TJ -63.292 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(inout)]TJ/F57 9.9626 Tf 24.349 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(array)-250(with)-250(the)]TJ/F62 9.9626 Tf 169.114 0 Td [(ALLOCATABLE)]TJ/F57 9.9626 Tf 60.024 0 Td [(attribute.)]TJ 0 g 0 G -/F51 9.9626 Tf -254.045 -19.925 Td [(val)]TJ +/F54 9.9626 Tf -254.045 -19.925 Td [(val)]TJ 0 g 0 G -/F54 9.9626 Tf 18.82 0 Td [(the)-250(elements)-250(to)-250(be)-250(inserted.)]TJ 6.087 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 28.343 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -49.922 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 24 0 Td [(required)]TJ/F54 9.9626 Tf 39.292 0 Td [(.)]TJ -63.292 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(inout)]TJ/F54 9.9626 Tf 24.349 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(r)18(eal)-250(array)-250(with)-250(the)]TJ/F59 9.9626 Tf 148.761 0 Td [(ALLOCATABLE)]TJ/F54 9.9626 Tf 60.024 0 Td [(attribute.)]TJ +/F57 9.9626 Tf 18.82 0 Td [(the)-250(elements)-250(to)-250(be)-250(inserted.)]TJ 6.087 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 28.343 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ -49.922 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 24 0 Td [(required)]TJ/F57 9.9626 Tf 39.292 0 Td [(.)]TJ -63.292 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(inout)]TJ/F57 9.9626 Tf 24.349 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(r)18(eal)-250(array)-250(with)-250(the)]TJ/F62 9.9626 Tf 148.761 0 Td [(ALLOCATABLE)]TJ/F57 9.9626 Tf 60.024 0 Td [(attribute.)]TJ 0 g 0 G -/F51 9.9626 Tf -233.692 -19.925 Td [(info)]TJ +/F54 9.9626 Tf -233.692 -19.925 Td [(info)]TJ 0 g 0 G -/F54 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ/F51 11.9552 Tf -24.907 -21.918 Td [(Notes)]TJ +/F57 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(out)]TJ/F57 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ/F54 11.9552 Tf -24.907 -21.918 Td [(Notes)]TJ 0 g 0 G -/F54 9.9626 Tf 12.454 -19.925 Td [(1.)]TJ +/F57 9.9626 Tf 12.454 -19.925 Td [(1.)]TJ 0 g 0 G - [-500(The)-307(output)]TJ/F52 9.9626 Tf 65.308 0 Td [(n)-25(z)]TJ/F54 9.9626 Tf 13.394 0 Td [(is)-307(always)-307(the)-307(size)-307(of)-307(the)-307(output)-307(generated)-307(by)-306(the)-307(curr)18(ent)]TJ -66.249 -11.955 Td [(call;)-283(thus,)-277(if)]TJ/F59 9.9626 Tf 53.971 0 Td [(append=.true.)]TJ/F54 9.9626 Tf 67.994 0 Td [(,)-278(the)-271(total)-272(output)-272(size)-272(will)-272(be)]TJ/F52 9.9626 Tf 129.372 0 Td [(n)-25(z)-18(i)-32(n)]TJ/F85 10.3811 Tf 21.286 0 Td [(+)]TJ/F52 9.9626 Tf 10.336 0 Td [(n)-25(z)]TJ/F54 9.9626 Tf 10.337 0 Td [(,)-277(with)]TJ -293.296 -11.955 Td [(the)-292(newly)-293(extracted)-292(coef)18(\002cients)-293(stor)18(ed)-292(in)-293(entries)]TJ/F59 9.9626 Tf 217.177 0 Td [(nzin+1:nzin+nz)]TJ/F54 9.9626 Tf 76.139 0 Td [(of)-292(the)]TJ -293.316 -11.955 Td [(array)-250(ar)18(guments;)]TJ + [-500(The)-307(output)]TJ/F55 9.9626 Tf 65.308 0 Td [(n)-25(z)]TJ/F57 9.9626 Tf 13.394 0 Td [(is)-307(always)-307(the)-307(size)-307(of)-307(the)-307(output)-307(generated)-307(by)-306(the)-307(curr)18(ent)]TJ -66.249 -11.955 Td [(call;)-283(thus,)-277(if)]TJ/F62 9.9626 Tf 53.971 0 Td [(append=.true.)]TJ/F57 9.9626 Tf 67.994 0 Td [(,)-278(the)-271(total)-272(output)-272(size)-272(will)-272(be)]TJ/F55 9.9626 Tf 129.372 0 Td [(n)-25(z)-18(i)-32(n)]TJ/F88 10.3811 Tf 21.286 0 Td [(+)]TJ/F55 9.9626 Tf 10.336 0 Td [(n)-25(z)]TJ/F57 9.9626 Tf 10.337 0 Td [(,)-277(with)]TJ -293.296 -11.955 Td [(the)-292(newly)-293(extracted)-292(coef)18(\002cients)-293(stor)18(ed)-292(in)-293(entries)]TJ/F62 9.9626 Tf 217.177 0 Td [(nzin+1:nzin+nz)]TJ/F57 9.9626 Tf 76.139 0 Td [(of)-292(the)]TJ -293.316 -11.955 Td [(array)-250(ar)18(guments;)]TJ 0 g 0 G -12.453 -19.926 Td [(2.)]TJ 0 g 0 G - [-500(When)]TJ/F59 9.9626 Tf 41.275 0 Td [(append=.true.)]TJ/F54 9.9626 Tf 70.485 0 Td [(the)-250(output)-250(arrays)-250(ar)18(e)-250(r)18(eallocated)-250(as)-250(necessary;)]TJ + [-500(When)]TJ/F62 9.9626 Tf 41.275 0 Td [(append=.true.)]TJ/F57 9.9626 Tf 70.485 0 Td [(the)-250(output)-250(arrays)-250(ar)18(e)-250(r)18(eallocated)-250(as)-250(necessary;)]TJ 0 g 0 G -111.76 -19.925 Td [(3.)]TJ 0 g 0 G - [-500(The)-218(r)18(ow)-218(and)-219(column)-218(indices)-218(ar)18(e)-218(r)18(eturned)-218(in)-219(the)-218(local)-218(numbering)-218(scheme;)]TJ 12.453 -11.955 Td [(if)-190(the)-190(global)-190(numbering)-190(is)-190(desir)18(ed,)-202(the)-190(user)-190(may)-190(employ)-190(the)]TJ/F59 9.9626 Tf 258.836 0 Td [(psb_loc_to_glob)]TJ/F54 9.9626 Tf -258.836 -11.955 Td [(r)18(outine)-250(on)-250(the)-250(output.)]TJ + [-500(The)-218(r)18(ow)-218(and)-219(column)-218(indices)-218(ar)18(e)-218(r)18(eturned)-218(in)-219(the)-218(local)-218(numbering)-218(scheme;)]TJ 12.453 -11.955 Td [(if)-190(the)-190(global)-190(numbering)-190(is)-190(desir)18(ed,)-202(the)-190(user)-190(may)-190(employ)-190(the)]TJ/F62 9.9626 Tf 258.836 0 Td [(psb_loc_to_glob)]TJ/F57 9.9626 Tf -258.836 -11.955 Td [(r)18(outine)-250(on)-250(the)-250(output.)]TJ 0 g 0 G 139.477 -290.909 Td [(105)]TJ 0 g 0 G @@ -20294,104 +20294,104 @@ stream 0 g 0 G 0 g 0 G BT -/F51 11.9552 Tf 150.705 706.129 Td [(6.26)-1000(psb)]TJ +/F54 11.9552 Tf 150.705 706.129 Td [(6.26)-1000(psb)]TJ ET q 1 0 0 1 204.216 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F51 11.9552 Tf 207.803 706.129 Td [(sizeof)-250(\227)-250(Memory)-250(occupation)]TJ/F54 9.9626 Tf -57.098 -18.964 Td [(This)-250(function)-250(computes)-250(the)-250(memory)-250(occupation)-250(of)-250(a)-250(PSBLAS)-250(object.)]TJ +/F54 11.9552 Tf 207.803 706.129 Td [(sizeof)-250(\227)-250(Memory)-250(occupation)]TJ/F57 9.9626 Tf -57.098 -18.964 Td [(This)-250(function)-250(computes)-250(the)-250(memory)-250(occupation)-250(of)-250(a)-250(PSBLAS)-250(object.)]TJ 0 g 0 G 0 g 0 G -/F59 9.9626 Tf 0 -21.918 Td [(isz)-525(=)-525(psb_sizeof\050a\051)]TJ 0 -11.955 Td [(isz)-525(=)-525(psb_sizeof\050desc_a\051)]TJ 0 -11.955 Td [(isz)-525(=)-525(psb_sizeof\050prec\051)]TJ +/F62 9.9626 Tf 0 -21.918 Td [(isz)-525(=)-525(psb_sizeof\050a\051)]TJ 0 -11.955 Td [(isz)-525(=)-525(psb_sizeof\050desc_a\051)]TJ 0 -11.955 Td [(isz)-525(=)-525(psb_sizeof\050prec\051)]TJ 0 g 0 G -/F51 9.9626 Tf 0 -21.918 Td [(T)90(ype:)]TJ +/F54 9.9626 Tf 0 -21.918 Td [(T)90(ype:)]TJ 0 g 0 G -/F54 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ +/F57 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ 0 g 0 G -/F51 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ +/F54 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -19.925 Td [(a)]TJ 0 g 0 G -/F54 9.9626 Tf 9.963 0 Td [(A)-250(sparse)-250(matrix)]TJ/F52 9.9626 Tf 72.97 0 Td [(A)]TJ/F54 9.9626 Tf 7.318 0 Td [(.)]TJ -65.344 -11.956 Td [(Scope:)]TJ/F51 9.9626 Tf 31.431 0 Td [(local)]TJ/F54 9.9626 Tf -31.431 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ +/F57 9.9626 Tf 9.963 0 Td [(A)-250(sparse)-250(matrix)]TJ/F55 9.9626 Tf 72.97 0 Td [(A)]TJ/F57 9.9626 Tf 7.318 0 Td [(.)]TJ -65.344 -11.956 Td [(Scope:)]TJ/F54 9.9626 Tf 31.431 0 Td [(local)]TJ/F57 9.9626 Tf -31.431 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 168.137 0 Td [(psb)]TJ +/F62 9.9626 Tf 168.137 0 Td [(psb)]TJ ET q 1 0 0 1 360.068 531.947 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 363.206 531.748 Td [(Tspmat)]TJ +/F62 9.9626 Tf 363.206 531.748 Td [(Tspmat)]TJ ET q 1 0 0 1 395.216 531.947 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 398.354 531.748 Td [(type)]TJ +/F62 9.9626 Tf 398.354 531.748 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf 20.921 0 Td [(.)]TJ +/F57 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -268.57 -19.925 Td [(desc)]TJ +/F54 9.9626 Tf -268.57 -19.925 Td [(desc)]TJ ET q 1 0 0 1 171.218 512.022 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 174.207 511.823 Td [(a)]TJ +/F54 9.9626 Tf 174.207 511.823 Td [(a)]TJ 0 g 0 G -/F54 9.9626 Tf 9.962 0 Td [(Communication)-250(descriptor)74(.)]TJ -8.558 -11.956 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(required)]TJ/F54 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(in)]TJ/F54 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ +/F57 9.9626 Tf 9.962 0 Td [(Communication)-250(descriptor)74(.)]TJ -8.558 -11.956 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.089 0 Td [(required)]TJ/F57 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(in)]TJ/F57 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 168.138 0 Td [(psb)]TJ +/F62 9.9626 Tf 168.138 0 Td [(psb)]TJ ET q 1 0 0 1 360.068 464.201 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 363.206 464.002 Td [(desc)]TJ +/F62 9.9626 Tf 363.206 464.002 Td [(desc)]TJ ET q 1 0 0 1 384.755 464.201 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 387.893 464.002 Td [(type)]TJ +/F62 9.9626 Tf 387.893 464.002 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf 20.922 0 Td [(.)]TJ +/F57 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -258.11 -19.925 Td [(prec)]TJ +/F54 9.9626 Tf -258.11 -19.925 Td [(prec)]TJ 0 g 0 G -/F54 9.9626 Tf 24.348 0 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -30.874 -11.956 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(required)]TJ/F54 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(in)]TJ/F54 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(pr)18(econditioner)-250(data)-250(str)8(uctur)18(e)]TJ +/F57 9.9626 Tf 24.348 0 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -30.874 -11.956 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.089 0 Td [(required)]TJ/F57 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(in)]TJ/F57 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(pr)18(econditioner)-250(data)-250(str)8(uctur)18(e)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 196.511 0 Td [(psb)]TJ +/F62 9.9626 Tf 196.511 0 Td [(psb)]TJ ET q 1 0 0 1 388.441 408.41 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 391.579 408.211 Td [(prec)]TJ +/F62 9.9626 Tf 391.579 408.211 Td [(prec)]TJ ET q 1 0 0 1 413.128 408.41 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 416.266 408.211 Td [(type)]TJ +/F62 9.9626 Tf 416.266 408.211 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf 20.922 0 Td [(.)]TJ +/F57 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -286.483 -19.925 Td [(On)-250(Return)]TJ +/F54 9.9626 Tf -286.483 -19.925 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -19.925 Td [(Function)-250(value)]TJ 0 g 0 G -/F54 9.9626 Tf 72.776 0 Td [(The)-322(memory)-322(occupation)-322(of)-323(the)-322(object)-322(speci\002ed)-322(in)-322(the)-322(calling)]TJ -47.87 -11.956 Td [(sequence,)-250(in)-250(bytes.)]TJ 0 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(Returned)-250(as:)-310(an)]TJ/F59 9.9626 Tf 71.82 0 Td [(integer\050psb_long_int_k_\051)]TJ/F54 9.9626 Tf 128.019 0 Td [(number)74(.)]TJ +/F57 9.9626 Tf 72.776 0 Td [(The)-322(memory)-322(occupation)-322(of)-323(the)-322(object)-322(speci\002ed)-322(in)-322(the)-322(calling)]TJ -47.87 -11.956 Td [(sequence,)-250(in)-250(bytes.)]TJ 0 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(Returned)-250(as:)-310(an)]TJ/F62 9.9626 Tf 71.82 0 Td [(integer\050psb_long_int_k_\051)]TJ/F57 9.9626 Tf 128.019 0 Td [(number)74(.)]TJ 0 g 0 G -60.362 -242.057 Td [(106)]TJ 0 g 0 G @@ -20407,73 +20407,73 @@ stream 0 g 0 G 0 g 0 G BT -/F51 11.9552 Tf 99.895 706.129 Td [(6.27)-1000(Sorting)-250(utilities)-250(\227)]TJ 0 -20.164 Td [(psb)]TJ +/F54 11.9552 Tf 99.895 706.129 Td [(6.27)-1000(Sorting)-250(utilities)-250(\227)]TJ 0 -20.164 Td [(psb)]TJ ET q 1 0 0 1 120.53 686.164 cm []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F51 11.9552 Tf 124.116 685.965 Td [(msort)-250(\227)-250(Sorting)-250(by)-250(the)-250(Merge-sort)-250(algorithm)]TJ -24.221 -12.574 Td [(psb)]TJ +/F54 11.9552 Tf 124.116 685.965 Td [(msort)-250(\227)-250(Sorting)-250(by)-250(the)-250(Merge-sort)-250(algorithm)]TJ -24.221 -12.574 Td [(psb)]TJ ET q 1 0 0 1 120.53 673.59 cm []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F51 11.9552 Tf 124.116 673.391 Td [(qsort)-250(\227)-250(Sorting)-250(by)-250(the)-250(Quicksort)-250(algorithm)]TJ -24.221 -12.575 Td [(psb)]TJ +/F54 11.9552 Tf 124.116 673.391 Td [(qsort)-250(\227)-250(Sorting)-250(by)-250(the)-250(Quicksort)-250(algorithm)]TJ -24.221 -12.575 Td [(psb)]TJ ET q 1 0 0 1 120.53 661.016 cm []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F51 11.9552 Tf 124.116 660.816 Td [(hsort)-250(\227)-250(Sorting)-250(by)-250(the)-250(Heapsort)-250(algorithm)]TJ +/F54 11.9552 Tf 124.116 660.816 Td [(hsort)-250(\227)-250(Sorting)-250(by)-250(the)-250(Heapsort)-250(algorithm)]TJ 0 g 0 G 0 g 0 G -/F59 9.9626 Tf -24.221 -22.402 Td [(call)-525(psb_msort\050x,ix,dir,flag\051)]TJ 0 -11.955 Td [(call)-525(psb_qsort\050x,ix,dir,flag\051)]TJ 0 -11.955 Td [(call)-525(psb_hsort\050x,ix,dir,flag\051)]TJ/F54 9.9626 Tf 14.944 -21.783 Td [(These)-236(serial)-235(r)18(outines)-236(sort)-236(a)-235(sequence)]TJ/F52 9.9626 Tf 162.066 0 Td [(X)]TJ/F54 9.9626 Tf 9.884 0 Td [(into)-236(ascending)-235(or)-236(descending)-236(or)18(der)74(.)]TJ -186.894 -11.955 Td [(The)-243(ar)18(gument)-243(meaning)-243(is)-242(identical)-243(for)-243(the)-243(thr)18(ee)-243(calls;)-245(the)-243(only)-243(dif)18(fer)18(ence)-242(is)-243(the)]TJ 0 -11.955 Td [(algorithm)-250(used)-250(to)-250(accomplish)-250(the)-250(task)-250(\050see)-250(Usage)-250(Notes)-250(below\051.)]TJ +/F62 9.9626 Tf -24.221 -22.402 Td [(call)-525(psb_msort\050x,ix,dir,flag\051)]TJ 0 -11.955 Td [(call)-525(psb_qsort\050x,ix,dir,flag\051)]TJ 0 -11.955 Td [(call)-525(psb_hsort\050x,ix,dir,flag\051)]TJ/F57 9.9626 Tf 14.944 -21.783 Td [(These)-236(serial)-235(r)18(outines)-236(sort)-236(a)-235(sequence)]TJ/F55 9.9626 Tf 162.066 0 Td [(X)]TJ/F57 9.9626 Tf 9.884 0 Td [(into)-236(ascending)-235(or)-236(descending)-236(or)18(der)74(.)]TJ -186.894 -11.955 Td [(The)-243(ar)18(gument)-243(meaning)-243(is)-242(identical)-243(for)-243(the)-243(thr)18(ee)-243(calls;)-245(the)-243(only)-243(dif)18(fer)18(ence)-242(is)-243(the)]TJ 0 -11.955 Td [(algorithm)-250(used)-250(to)-250(accomplish)-250(the)-250(task)-250(\050see)-250(Usage)-250(Notes)-250(below\051.)]TJ 0 g 0 G -/F51 9.9626 Tf 0 -21.783 Td [(T)90(ype:)]TJ +/F54 9.9626 Tf 0 -21.783 Td [(T)90(ype:)]TJ 0 g 0 G -/F54 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ +/F57 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ 0 g 0 G -/F51 9.9626 Tf -29.828 -22.402 Td [(On)-250(Entry)]TJ +/F54 9.9626 Tf -29.828 -22.402 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -22.402 Td [(x)]TJ 0 g 0 G -/F54 9.9626 Tf 9.963 0 Td [(The)-250(sequence)-250(to)-250(be)-250(sorted.)]TJ 14.944 -11.956 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 24 0 Td [(required)]TJ/F54 9.9626 Tf 39.292 0 Td [(.)]TJ -63.292 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)74(,)-250(r)18(eal)-250(or)-250(complex)-250(array)-250(of)-250(rank)-250(1.)]TJ +/F57 9.9626 Tf 9.963 0 Td [(The)-250(sequence)-250(to)-250(be)-250(sorted.)]TJ 14.944 -11.956 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 24 0 Td [(required)]TJ/F57 9.9626 Tf 39.292 0 Td [(.)]TJ -63.292 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)74(,)-250(r)18(eal)-250(or)-250(complex)-250(array)-250(of)-250(rank)-250(1.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.907 -22.402 Td [(ix)]TJ +/F54 9.9626 Tf -24.907 -22.402 Td [(ix)]TJ 0 g 0 G -/F54 9.9626 Tf 13.281 0 Td [(A)-250(vector)-250(of)-250(indices.)]TJ 11.626 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 24 0 Td [(optional)]TJ/F54 9.9626 Tf 38.186 0 Td [(.)]TJ -62.186 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(array)-250(of)-250(\050at)-250(least\051)-250(the)-250(same)-250(size)-250(as)]TJ/F52 9.9626 Tf 254.189 0 Td [(X)]TJ/F54 9.9626 Tf 7.537 0 Td [(.)]TJ +/F57 9.9626 Tf 13.281 0 Td [(A)-250(vector)-250(of)-250(indices.)]TJ 11.626 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 24 0 Td [(optional)]TJ/F57 9.9626 Tf 38.186 0 Td [(.)]TJ -62.186 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(array)-250(of)-250(\050at)-250(least\051)-250(the)-250(same)-250(size)-250(as)]TJ/F55 9.9626 Tf 254.189 0 Td [(X)]TJ/F57 9.9626 Tf 7.537 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -286.633 -22.402 Td [(dir)]TJ +/F54 9.9626 Tf -286.633 -22.402 Td [(dir)]TJ 0 g 0 G -/F54 9.9626 Tf 18.262 0 Td [(The)-250(desir)18(ed)-250(or)18(dering.)]TJ 6.645 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 24 0 Td [(optional)]TJ/F54 9.9626 Tf 38.186 0 Td [(.)]TJ -62.186 -11.956 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(value:)]TJ +/F57 9.9626 Tf 18.262 0 Td [(The)-250(desir)18(ed)-250(or)18(dering.)]TJ 6.645 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 24 0 Td [(optional)]TJ/F57 9.9626 Tf 38.186 0 Td [(.)]TJ -62.186 -11.956 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(value:)]TJ 0 g 0 G -/F51 9.9626 Tf 0 -22.402 Td [(Integer)-250(and)-250(real)-250(data:)]TJ +/F54 9.9626 Tf 0 -22.402 Td [(Integer)-250(and)-250(real)-250(data:)]TJ 0 g 0 G -/F59 9.9626 Tf 101.28 0 Td [(psb_sort_up_)]TJ/F54 9.9626 Tf 62.764 0 Td [(,)]TJ/F59 9.9626 Tf 5.525 0 Td [(psb_sort_down_)]TJ/F54 9.9626 Tf 73.225 0 Td [(,)]TJ/F59 9.9626 Tf 5.525 0 Td [(psb_asort_up_)]TJ/F54 9.9626 Tf 67.995 0 Td [(,)]TJ/F59 9.9626 Tf -294.396 -11.955 Td [(psb_asort_down_)]TJ/F54 9.9626 Tf 78.455 0 Td [(;)-250(default)]TJ/F59 9.9626 Tf 38.784 0 Td [(psb_sort_up_)]TJ/F54 9.9626 Tf 62.764 0 Td [(.)]TJ +/F62 9.9626 Tf 101.28 0 Td [(psb_sort_up_)]TJ/F57 9.9626 Tf 62.764 0 Td [(,)]TJ/F62 9.9626 Tf 5.525 0 Td [(psb_sort_down_)]TJ/F57 9.9626 Tf 73.225 0 Td [(,)]TJ/F62 9.9626 Tf 5.525 0 Td [(psb_asort_up_)]TJ/F57 9.9626 Tf 67.995 0 Td [(,)]TJ/F62 9.9626 Tf -294.396 -11.955 Td [(psb_asort_down_)]TJ/F57 9.9626 Tf 78.455 0 Td [(;)-250(default)]TJ/F62 9.9626 Tf 38.784 0 Td [(psb_sort_up_)]TJ/F57 9.9626 Tf 62.764 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -201.921 -17.178 Td [(Complex)-250(data:)]TJ +/F54 9.9626 Tf -201.921 -17.178 Td [(Complex)-250(data:)]TJ 0 g 0 G -/F59 9.9626 Tf 70.286 0 Td [(psb_lsort_up_)]TJ/F54 9.9626 Tf 67.995 0 Td [(,)]TJ/F59 9.9626 Tf 4.503 0 Td [(psb_lsort_down_)]TJ/F54 9.9626 Tf 78.455 0 Td [(,)]TJ/F59 9.9626 Tf 4.503 0 Td [(psb_asort_up_)]TJ/F54 9.9626 Tf 67.994 0 Td [(,)]TJ/F59 9.9626 Tf 4.504 0 Td [(psb_asort_down_)]TJ/F54 9.9626 Tf 78.455 0 Td [(;)]TJ -354.777 -11.956 Td [(default)]TJ/F59 9.9626 Tf 33.803 0 Td [(psb_lsort_up_)]TJ/F54 9.9626 Tf 67.994 0 Td [(.)]TJ +/F62 9.9626 Tf 70.286 0 Td [(psb_lsort_up_)]TJ/F57 9.9626 Tf 67.995 0 Td [(,)]TJ/F62 9.9626 Tf 4.503 0 Td [(psb_lsort_down_)]TJ/F57 9.9626 Tf 78.455 0 Td [(,)]TJ/F62 9.9626 Tf 4.503 0 Td [(psb_asort_up_)]TJ/F57 9.9626 Tf 67.994 0 Td [(,)]TJ/F62 9.9626 Tf 4.504 0 Td [(psb_asort_down_)]TJ/F57 9.9626 Tf 78.455 0 Td [(;)]TJ -354.777 -11.956 Td [(default)]TJ/F62 9.9626 Tf 33.803 0 Td [(psb_lsort_up_)]TJ/F57 9.9626 Tf 67.994 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -148.622 -22.402 Td [(\003ag)]TJ +/F54 9.9626 Tf -148.622 -22.402 Td [(\003ag)]TJ 0 g 0 G -/F54 9.9626 Tf 21.589 0 Td [(Whether)-250(to)-250(keep)-250(the)-250(original)-250(values)-250(in)]TJ/F52 9.9626 Tf 171.52 0 Td [(I)-81(X)]TJ/F54 9.9626 Tf 11.661 0 Td [(.)]TJ -179.863 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 24 0 Td [(optional)]TJ/F54 9.9626 Tf 38.186 0 Td [(.)]TJ -62.186 -11.955 Td [(Speci\002ed)-190(as:)-280(an)-190(integer)-190(value)]TJ/F59 9.9626 Tf 128.287 0 Td [(psb_sort_ovw_idx_)]TJ/F54 9.9626 Tf 90.809 0 Td [(or)]TJ/F59 9.9626 Tf 11.268 0 Td [(psb_sort_keep_idx_)]TJ/F54 9.9626 Tf 94.146 0 Td [(;)]TJ -324.51 -11.955 Td [(default)]TJ/F59 9.9626 Tf 33.803 0 Td [(psb_sort_ovw_idx_)]TJ/F54 9.9626 Tf 88.916 0 Td [(.)]TJ +/F57 9.9626 Tf 21.589 0 Td [(Whether)-250(to)-250(keep)-250(the)-250(original)-250(values)-250(in)]TJ/F55 9.9626 Tf 171.52 0 Td [(I)-81(X)]TJ/F57 9.9626 Tf 11.661 0 Td [(.)]TJ -179.863 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 24 0 Td [(optional)]TJ/F57 9.9626 Tf 38.186 0 Td [(.)]TJ -62.186 -11.955 Td [(Speci\002ed)-190(as:)-280(an)-190(integer)-190(value)]TJ/F62 9.9626 Tf 128.287 0 Td [(psb_sort_ovw_idx_)]TJ/F57 9.9626 Tf 90.809 0 Td [(or)]TJ/F62 9.9626 Tf 11.268 0 Td [(psb_sort_keep_idx_)]TJ/F57 9.9626 Tf 94.146 0 Td [(;)]TJ -324.51 -11.955 Td [(default)]TJ/F62 9.9626 Tf 33.803 0 Td [(psb_sort_ovw_idx_)]TJ/F57 9.9626 Tf 88.916 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -147.626 -24.395 Td [(On)-250(Return)]TJ +/F54 9.9626 Tf -147.626 -24.395 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -22.402 Td [(x)]TJ 0 g 0 G -/F54 9.9626 Tf 9.963 0 Td [(The)-250(sequence)-250(of)-250(values,)-250(in)-250(the)-250(chosen)-250(or)18(dering.)]TJ 14.944 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 24 0 Td [(required)]TJ/F54 9.9626 Tf 39.292 0 Td [(.)]TJ -63.292 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)74(,)-250(r)18(eal)-250(or)-250(complex)-250(array)-250(of)-250(rank)-250(1.)]TJ +/F57 9.9626 Tf 9.963 0 Td [(The)-250(sequence)-250(of)-250(values,)-250(in)-250(the)-250(chosen)-250(or)18(dering.)]TJ 14.944 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 24 0 Td [(required)]TJ/F57 9.9626 Tf 39.292 0 Td [(.)]TJ -63.292 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)74(,)-250(r)18(eal)-250(or)-250(complex)-250(array)-250(of)-250(rank)-250(1.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.907 -22.402 Td [(ix)]TJ +/F54 9.9626 Tf -24.907 -22.402 Td [(ix)]TJ 0 g 0 G -/F54 9.9626 Tf 13.281 0 Td [(A)-250(vector)-250(of)-250(indices.)]TJ 11.626 -11.956 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(Optional)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(An)-238(integer)-237(array)-238(of)-237(rank)-238(1,)-240(whose)-238(entries)-237(ar)18(e)-238(moved)-237(to)-238(the)-238(same)-237(position)]TJ 0 -11.955 Td [(as)-250(the)-250(corr)18(esponding)-250(entries)-250(in)]TJ/F52 9.9626 Tf 138.215 0 Td [(x)]TJ/F54 9.9626 Tf 5.205 0 Td [(.)]TJ +/F57 9.9626 Tf 13.281 0 Td [(A)-250(vector)-250(of)-250(indices.)]TJ 11.626 -11.956 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(Optional)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(An)-238(integer)-237(array)-238(of)-237(rank)-238(1,)-240(whose)-238(entries)-237(ar)18(e)-238(moved)-237(to)-238(the)-238(same)-237(position)]TJ 0 -11.955 Td [(as)-250(the)-250(corr)18(esponding)-250(entries)-250(in)]TJ/F55 9.9626 Tf 138.215 0 Td [(x)]TJ/F57 9.9626 Tf 5.205 0 Td [(.)]TJ 0 g 0 G -3.943 -44.517 Td [(107)]TJ 0 g 0 G @@ -20489,9 +20489,9 @@ stream 0 g 0 G 0 g 0 G BT -/F51 11.9552 Tf 150.705 706.129 Td [(Notes)]TJ +/F54 11.9552 Tf 150.705 706.129 Td [(Notes)]TJ 0 g 0 G -/F54 9.9626 Tf 12.453 -19.925 Td [(1.)]TJ +/F57 9.9626 Tf 12.453 -19.925 Td [(1.)]TJ 0 g 0 G [-500(For)-370(integer)-370(or)-370(r)18(eal)-370(data)-370(the)-370(sorting)-370(can)-370(be)-370(performed)-370(in)-370(the)-370(up/down)]TJ 12.453 -11.956 Td [(dir)18(ection,)-250(on)-250(the)-250(natural)-250(or)-250(absolute)-250(values;)]TJ 0 g 0 G @@ -20505,79 +20505,79 @@ BT 0 g 0 G -12.453 -19.925 Td [(4.)]TJ 0 g 0 G - [-500(If)]TJ/F52 9.9626 Tf 22.66 0 Td [(f)-160(l)-70(a)-47(g)]TJ/F85 10.3811 Tf 20.72 0 Td [(=)]TJ/F52 9.9626 Tf 11.634 0 Td [(p)-25(s)-25(b)]TJ + [-500(If)]TJ/F55 9.9626 Tf 22.66 0 Td [(f)-160(l)-70(a)-47(g)]TJ/F88 10.3811 Tf 20.72 0 Td [(=)]TJ/F55 9.9626 Tf 11.634 0 Td [(p)-25(s)-25(b)]TJ ET q 1 0 0 1 232.862 542.941 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F52 9.9626 Tf 235.975 542.742 Td [(s)-25(o)-25(r)-35(t)]TJ +/F55 9.9626 Tf 235.975 542.742 Td [(s)-25(o)-25(r)-35(t)]TJ ET q 1 0 0 1 253.036 542.941 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F52 9.9626 Tf 256.149 542.742 Td [(o)-35(v)-25(w)]TJ +/F55 9.9626 Tf 256.149 542.742 Td [(o)-35(v)-25(w)]TJ ET q 1 0 0 1 274.067 542.941 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F52 9.9626 Tf 277.11 542.742 Td [(i)-32(d)-42(x)]TJ +/F55 9.9626 Tf 277.11 542.742 Td [(i)-32(d)-42(x)]TJ ET q 1 0 0 1 291.402 542.941 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 296.503 542.742 Td [(then)-212(the)-212(entries)-212(in)]TJ/F52 9.9626 Tf 80.283 0 Td [(i)-49(x)]TJ/F85 10.3811 Tf 8.588 0 Td [(\050)]TJ/F54 9.9626 Tf 4.149 0 Td [(1)-290(:)]TJ/F52 9.9626 Tf 13.381 0 Td [(n)]TJ/F85 10.3811 Tf 5.788 0 Td [(\051)]TJ/F54 9.9626 Tf 6.262 0 Td [(wher)18(e)]TJ/F52 9.9626 Tf 29.644 0 Td [(n)]TJ/F54 9.9626 Tf 7.776 0 Td [(is)-212(the)-212(size)]TJ -276.762 -11.956 Td [(of)]TJ/F52 9.9626 Tf 12.255 0 Td [(x)]TJ/F54 9.9626 Tf 8.411 0 Td [(ar)18(e)-322(initialized)-321(to)]TJ/F52 9.9626 Tf 76.228 0 Td [(i)-49(x)]TJ/F85 10.3811 Tf 8.588 0 Td [(\050)]TJ/F52 9.9626 Tf 4.204 0 Td [(i)]TJ/F85 10.3811 Tf 3.088 0 Td [(\051)]TJ/F83 10.3811 Tf 8.364 0 Td [(\040)]TJ/F52 9.9626 Tf 14.651 0 Td [(i)]TJ/F54 9.9626 Tf 2.963 0 Td [(;)-358(thus,)-339(upon)-322(r)18(eturn)-321(fr)18(om)-322(the)-322(subr)18(outine,)]TJ -138.753 -11.955 Td [(for)-270(each)-271(index)]TJ/F52 9.9626 Tf 65.501 0 Td [(i)]TJ/F54 9.9626 Tf 5.657 0 Td [(we)-270(have)-271(in)]TJ/F52 9.9626 Tf 51.095 0 Td [(i)-49(x)]TJ/F85 10.3811 Tf 8.587 0 Td [(\050)]TJ/F52 9.9626 Tf 4.205 0 Td [(i)]TJ/F85 10.3811 Tf 3.088 0 Td [(\051)]TJ/F54 9.9626 Tf 6.843 0 Td [(the)-270(position)-271(that)-270(the)-270(item)]TJ/F52 9.9626 Tf 114.324 0 Td [(x)]TJ/F85 10.3811 Tf 5.33 0 Td [(\050)]TJ/F52 9.9626 Tf 4.204 0 Td [(i)]TJ/F85 10.3811 Tf 3.088 0 Td [(\051)]TJ/F54 9.9626 Tf 6.844 0 Td [(occupied)]TJ -278.766 -11.955 Td [(in)-250(the)-250(original)-250(data)-250(sequence;)]TJ +/F57 9.9626 Tf 296.503 542.742 Td [(then)-212(the)-212(entries)-212(in)]TJ/F55 9.9626 Tf 80.283 0 Td [(i)-49(x)]TJ/F88 10.3811 Tf 8.588 0 Td [(\050)]TJ/F57 9.9626 Tf 4.149 0 Td [(1)-290(:)]TJ/F55 9.9626 Tf 13.381 0 Td [(n)]TJ/F88 10.3811 Tf 5.788 0 Td [(\051)]TJ/F57 9.9626 Tf 6.262 0 Td [(wher)18(e)]TJ/F55 9.9626 Tf 29.644 0 Td [(n)]TJ/F57 9.9626 Tf 7.776 0 Td [(is)-212(the)-212(size)]TJ -276.762 -11.956 Td [(of)]TJ/F55 9.9626 Tf 12.255 0 Td [(x)]TJ/F57 9.9626 Tf 8.411 0 Td [(ar)18(e)-322(initialized)-321(to)]TJ/F55 9.9626 Tf 76.228 0 Td [(i)-49(x)]TJ/F88 10.3811 Tf 8.588 0 Td [(\050)]TJ/F55 9.9626 Tf 4.204 0 Td [(i)]TJ/F88 10.3811 Tf 3.088 0 Td [(\051)]TJ/F86 10.3811 Tf 8.364 0 Td [(\040)]TJ/F55 9.9626 Tf 14.651 0 Td [(i)]TJ/F57 9.9626 Tf 2.963 0 Td [(;)-358(thus,)-339(upon)-322(r)18(eturn)-321(fr)18(om)-322(the)-322(subr)18(outine,)]TJ -138.753 -11.955 Td [(for)-270(each)-271(index)]TJ/F55 9.9626 Tf 65.501 0 Td [(i)]TJ/F57 9.9626 Tf 5.657 0 Td [(we)-270(have)-271(in)]TJ/F55 9.9626 Tf 51.095 0 Td [(i)-49(x)]TJ/F88 10.3811 Tf 8.587 0 Td [(\050)]TJ/F55 9.9626 Tf 4.205 0 Td [(i)]TJ/F88 10.3811 Tf 3.088 0 Td [(\051)]TJ/F57 9.9626 Tf 6.843 0 Td [(the)-270(position)-271(that)-270(the)-270(item)]TJ/F55 9.9626 Tf 114.324 0 Td [(x)]TJ/F88 10.3811 Tf 5.33 0 Td [(\050)]TJ/F55 9.9626 Tf 4.204 0 Td [(i)]TJ/F88 10.3811 Tf 3.088 0 Td [(\051)]TJ/F57 9.9626 Tf 6.844 0 Td [(occupied)]TJ -278.766 -11.955 Td [(in)-250(the)-250(original)-250(data)-250(sequence;)]TJ 0 g 0 G -12.453 -19.925 Td [(5.)]TJ 0 g 0 G - [-500(If)]TJ/F52 9.9626 Tf 24.08 0 Td [(f)-160(l)-70(a)-47(g)]TJ/F85 10.3811 Tf 22.648 0 Td [(=)]TJ/F52 9.9626 Tf 13.563 0 Td [(p)-25(s)-25(b)]TJ + [-500(If)]TJ/F55 9.9626 Tf 24.08 0 Td [(f)-160(l)-70(a)-47(g)]TJ/F88 10.3811 Tf 22.648 0 Td [(=)]TJ/F55 9.9626 Tf 13.563 0 Td [(p)-25(s)-25(b)]TJ ET q 1 0 0 1 238.138 487.15 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F52 9.9626 Tf 241.252 486.951 Td [(s)-25(o)-25(r)-35(t)]TJ +/F55 9.9626 Tf 241.252 486.951 Td [(s)-25(o)-25(r)-35(t)]TJ ET q 1 0 0 1 258.312 487.15 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F52 9.9626 Tf 261.426 486.951 Td [(k)-30(e)-25(e)-80(p)]TJ +/F55 9.9626 Tf 261.426 486.951 Td [(k)-30(e)-25(e)-80(p)]TJ ET q 1 0 0 1 280.648 487.15 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F52 9.9626 Tf 283.692 486.951 Td [(i)-32(d)-42(x)]TJ +/F55 9.9626 Tf 283.692 486.951 Td [(i)-32(d)-42(x)]TJ ET q 1 0 0 1 297.983 487.15 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 304.504 486.951 Td [(the)-355(r)18(ou)1(tine)-355(will)-354(assume)-355(that)-355(th)1(e)-355(entries)-355(i)1(n)]TJ/F52 9.9626 Tf -128.838 -11.955 Td [(i)-49(x)]TJ/F85 10.3811 Tf 8.588 0 Td [(\050)]TJ/F54 9.9626 Tf 4.274 0 Td [(:)]TJ/F85 10.3811 Tf 2.74 0 Td [(\051)]TJ/F54 9.9626 Tf 6.64 0 Td [(have)-250(alr)18(eady)-250(been)-250(initialized)-250(by)-250(the)-250(user;)]TJ +/F57 9.9626 Tf 304.504 486.951 Td [(the)-355(r)18(ou)1(tine)-355(will)-354(assume)-355(that)-355(th)1(e)-355(entries)-355(i)1(n)]TJ/F55 9.9626 Tf -128.838 -11.955 Td [(i)-49(x)]TJ/F88 10.3811 Tf 8.588 0 Td [(\050)]TJ/F57 9.9626 Tf 4.274 0 Td [(:)]TJ/F88 10.3811 Tf 2.74 0 Td [(\051)]TJ/F57 9.9626 Tf 6.64 0 Td [(have)-250(alr)18(eady)-250(been)-250(initialized)-250(by)-250(the)-250(user;)]TJ 0 g 0 G -34.75 -19.926 Td [(6.)]TJ 0 g 0 G - [-500(The)-270(thr)18(ee)-269(sorting)-270(algorithms)-269(have)-270(a)-269(similar)]TJ/F52 9.9626 Tf 205.79 0 Td [(O)]TJ/F85 10.3811 Tf 8 0 Td [(\050)]TJ/F52 9.9626 Tf 4.274 0 Td [(n)]TJ/F54 9.9626 Tf 7.324 0 Td [(log)]TJ/F52 9.9626 Tf 15.663 0 Td [(n)]TJ/F85 10.3811 Tf 5.788 0 Td [(\051)]TJ/F54 9.9626 Tf 6.835 0 Td [(expected)-270(r)8(unning)]TJ -241.221 -11.955 Td [(time;)-278(in)-268(the)-268(average)-269(case)-268(quicksort)-268(will)-269(be)-268(the)-268(fastest)-269(and)-268(mer)18(ge-sort)-268(the)]TJ 0 -11.955 Td [(slowest.)-310(However)-250(note)-250(that:)]TJ + [-500(The)-270(thr)18(ee)-269(sorting)-270(algorithms)-269(have)-270(a)-269(similar)]TJ/F55 9.9626 Tf 205.79 0 Td [(O)]TJ/F88 10.3811 Tf 8 0 Td [(\050)]TJ/F55 9.9626 Tf 4.274 0 Td [(n)]TJ/F57 9.9626 Tf 7.324 0 Td [(log)]TJ/F55 9.9626 Tf 15.663 0 Td [(n)]TJ/F88 10.3811 Tf 5.788 0 Td [(\051)]TJ/F57 9.9626 Tf 6.835 0 Td [(expected)-270(r)8(unning)]TJ -241.221 -11.955 Td 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Td [(\050)]TJ/F55 9.9626 Tf 4.274 0 Td [(n)]TJ/F57 9.9626 Tf 7.324 0 Td [(log)]TJ/F55 9.9626 Tf 15.663 0 Td [(n)]TJ/F88 10.3811 Tf 5.788 0 Td [(\051)]TJ/F57 9.9626 Tf -301.684 -11.955 Td [(as)-250(the)-250(average)-250(case;)]TJ 0 g 0 G -16.04 -15.94 Td [(\050c\051)]TJ 0 g 0 G @@ -20597,9 +20597,9 @@ stream 0 g 0 G 0 g 0 G BT -/F51 14.3462 Tf 99.895 705.784 Td [(7)-1000(Parallel)-250(environment)-250(routines)]TJ +/F54 14.3462 Tf 99.895 705.784 Td [(7)-1000(Parallel)-250(environment)-250(routines)]TJ 0 g 0 G -/F54 9.9626 Tf 164.384 -615.346 Td [(109)]TJ +/F57 9.9626 Tf 164.384 -615.346 Td [(109)]TJ 0 g 0 G ET @@ -20613,65 +20613,65 @@ stream 0 g 0 G 0 g 0 G BT -/F51 11.9552 Tf 150.705 706.129 Td [(7.1)-1000(psb)]TJ +/F54 11.9552 Tf 150.705 706.129 Td [(7.1)-1000(psb)]TJ ET q 1 0 0 1 198.238 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F51 11.9552 Tf 201.825 706.129 Td [(init)-250(\227)-250(Initializes)-250(PSBLAS)-250(parallel)-250(environment)]TJ +/F54 11.9552 Tf 201.825 706.129 Td [(init)-250(\227)-250(Initializes)-250(PSBLAS)-250(parallel)-250(environment)]TJ 0 g 0 G 0 g 0 G -/F59 9.9626 Tf -51.12 -18.964 Td [(call)-525(psb_init\050ctxt,)-525(np,)-525(basectxt,)-525(ids\051)]TJ/F54 9.9626 Tf 14.944 -21.918 Td [(This)-214(subr)18(outine)-215(initializes)-214(the)-215(PSBLAS)-214(parallel)-215(envir)18(onment,)-221(de\002ning)-215(a)-214(vir)18(-)]TJ -14.944 -11.955 Td [(tual)-250(parallel)-250(machine.)]TJ +/F62 9.9626 Tf -51.12 -18.964 Td [(call)-525(psb_init\050ctxt,)-525(np,)-525(basectxt,)-525(ids\051)]TJ/F57 9.9626 Tf 14.944 -21.918 Td [(This)-214(subr)18(outine)-215(initializes)-214(the)-215(PSBLAS)-214(parallel)-215(envir)18(onment,)-221(de\002ning)-215(a)-214(vir)18(-)]TJ -14.944 -11.955 Td [(tual)-250(parallel)-250(machine.)]TJ 0 g 0 G -/F51 9.9626 Tf 0 -19.925 Td [(T)90(ype:)]TJ +/F54 9.9626 Tf 0 -19.925 Td [(T)90(ype:)]TJ 0 g 0 G -/F54 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ +/F57 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ 0 g 0 G 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[(COMM)]TJ ET q 1 0 0 1 424.904 466.194 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 427.893 465.994 Td [(WORLD.)]TJ +/F57 9.9626 Tf 427.893 465.994 Td [(WORLD.)]TJ 0 g 0 G -/F51 9.9626 Tf -277.188 -19.925 Td [(ids)]TJ +/F54 9.9626 Tf -277.188 -19.925 Td [(ids)]TJ 0 g 0 G -/F54 9.9626 Tf 18.809 0 Td [(Identities)-306(of)-307(the)-306(pr)18(ocesses)-307(to)-306(use)-306(for)-307(the)-306(new)-306(context;)-335(the)-306(ar)18(gument)-307(is)-306(ig-)]TJ 6.097 -11.955 Td [(nor)18(ed)-388(when)]TJ/F59 9.9626 Tf 58.258 0 Td [(np)]TJ/F54 9.9626 Tf 14.324 0 Td [(is)-388(not)-388(speci\002ed.)-723(This)-388(allows)-388(the)-387(pr)18(ocesses)-388(in)-388(the)-388(new)]TJ -72.582 -11.955 Td [(envir)18(onment)-250(to)-250(be)-250(in)-250(an)-250(or)18(der)-250(dif)18(fer)18(ent)-250(fr)18(om)-250(the)-250(original)-250(one.)]TJ 0 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(global)]TJ/F54 9.9626 Tf 28.782 0 Td [(.)]TJ -60.214 -11.956 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(optional)]TJ/F54 9.9626 Tf 38.186 0 Td [(.)]TJ -65.275 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(in)]TJ/F54 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(array)111(.)-560(Default:)-310(use)-250(the)-250(indices)]TJ/F85 10.3811 Tf 240.57 0 Td [(\050)]TJ/F54 9.9626 Tf 4.15 0 Td [(0)-179(.)-192(.)-191(.)]TJ/F52 9.9626 Tf 19.966 0 Td [(n)-80(p)]TJ/F83 10.3811 Tf 13.504 0 Td [(\000)]TJ/F54 9.9626 Tf 10.131 0 Td [(1)]TJ/F85 10.3811 Tf 5.106 0 Td [(\051)]TJ/F54 9.9626 Tf 4.15 0 Td [(.)]TJ +/F57 9.9626 Tf 18.809 0 Td [(Identities)-306(of)-307(the)-306(pr)18(ocesses)-307(to)-306(use)-306(for)-307(the)-306(new)-306(context;)-335(the)-306(ar)18(gument)-307(is)-306(ig-)]TJ 6.097 -11.955 Td [(nor)18(ed)-388(when)]TJ/F62 9.9626 Tf 58.258 0 Td [(np)]TJ/F57 9.9626 Tf 14.324 0 Td [(is)-388(not)-388(speci\002ed.)-723(This)-388(allows)-388(the)-387(pr)18(ocesses)-388(in)-388(the)-388(new)]TJ -72.582 -11.955 Td 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[(.)]TJ -46.745 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(variable.)]TJ/F54 11.9552 Tf -24.906 -21.918 Td [(Notes)]TJ 0 g 0 G -/F54 9.9626 Tf 12.453 -19.925 Td [(1.)]TJ +/F57 9.9626 Tf 12.453 -19.925 Td [(1.)]TJ 0 g 0 G [-500(A)-250(call)-250(to)-250(this)-250(r)18(outine)-250(must)-250(pr)18(ecede)-250(any)-250(other)-250(PSBLAS)-250(call.)]TJ 0 g 0 G 0 -19.926 Td [(2.)]TJ 0 g 0 G - [-500(It)-194(is)-195(an)-194(err)18(or)-194(to)-194(specify)-195(a)-194(value)-194(for)]TJ/F52 9.9626 Tf 158.156 0 Td [(n)-80(p)]TJ/F54 9.9626 Tf 13.378 0 Td [(gr)18(eater)-194(than)-195(the)-194(number)-194(of)-194(pr)18(ocesses)]TJ -159.081 -11.955 Td [(available)-250(in)-250(the)-250(underlying)-250(base)-250(parallel)-250(envir)18(onment.)]TJ + [-500(It)-194(is)-195(an)-194(err)18(or)-194(to)-194(specify)-195(a)-194(value)-194(for)]TJ/F55 9.9626 Tf 158.156 0 Td [(n)-80(p)]TJ/F57 9.9626 Tf 13.378 0 Td [(gr)18(eater)-194(than)-195(the)-194(number)-194(of)-194(pr)18(ocesses)]TJ -159.081 -11.955 Td [(available)-250(in)-250(the)-250(underlying)-250(base)-250(parallel)-250(envir)18(onment.)]TJ 0 g 0 G 139.477 -84.647 Td [(110)]TJ 0 g 0 G @@ -20687,47 +20687,47 @@ stream 0 g 0 G 0 g 0 G BT -/F51 11.9552 Tf 99.895 706.129 Td [(7.2)-1000(psb)]TJ +/F54 11.9552 Tf 99.895 706.129 Td [(7.2)-1000(psb)]TJ ET q 1 0 0 1 147.429 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F51 11.9552 Tf 151.016 706.129 Td [(info)-211(\227)-211(Return)-211(information)-210(about)-211(PSBLAS)-211(parallel)-211(en-)]TJ -24.221 -13.948 Td [(vironment)]TJ +/F54 11.9552 Tf 151.016 706.129 Td [(info)-211(\227)-211(Return)-211(information)-210(about)-211(PSBLAS)-211(parallel)-211(en-)]TJ -24.221 -13.948 Td [(vironment)]TJ 0 g 0 G 0 g 0 G -/F59 9.9626 Tf -26.9 -18.964 Td [(call)-525(psb_info\050ctxt,)-525(iam,)-525(np\051)]TJ/F54 9.9626 Tf 14.944 -21.917 Td [(This)-397(subr)18(outine)-396(r)18(eturns)-397(information)-397(about)-396(the)-397(PSBLAS)-397(parallel)-396(envir)18(on-)]TJ -14.944 -11.956 Td [(ment,)-250(de\002ning)-250(a)-250(virtual)-250(parallel)-250(machine.)]TJ +/F62 9.9626 Tf -26.9 -18.964 Td [(call)-525(psb_info\050ctxt,)-525(iam,)-525(np\051)]TJ/F57 9.9626 Tf 14.944 -21.917 Td [(This)-397(subr)18(outine)-396(r)18(eturns)-397(information)-397(about)-396(the)-397(PSBLAS)-397(parallel)-396(envir)18(on-)]TJ -14.944 -11.956 Td [(ment,)-250(de\002ning)-250(a)-250(virtual)-250(parallel)-250(machine.)]TJ 0 g 0 G -/F51 9.9626 Tf 0 -19.925 Td [(T)90(ype:)]TJ +/F54 9.9626 Tf 0 -19.925 Td [(T)90(ype:)]TJ 0 g 0 G -/F54 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ +/F57 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ 0 g 0 G -/F51 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ +/F54 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -19.925 Td [(ctxt)]TJ 0 g 0 G -/F54 9.9626 Tf 21.021 0 Td [(the)-250(communication)-250(context)-250(identifying)-250(the)-250(virtual)-250(parallel)-250(machine.)]TJ 3.886 -11.956 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(global)]TJ/F54 9.9626 Tf 28.782 0 Td [(.)]TJ -60.214 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf 39.292 0 Td [(.)]TJ -66.38 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(variable.)]TJ +/F57 9.9626 Tf 21.021 0 Td [(the)-250(communication)-250(context)-250(identifying)-250(the)-250(virtual)-250(parallel)-250(machine.)]TJ 3.886 -11.956 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(global)]TJ/F57 9.9626 Tf 28.782 0 Td [(.)]TJ -60.214 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf 39.292 0 Td [(.)]TJ -66.38 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(variable.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.907 -21.918 Td [(On)-250(Return)]TJ +/F54 9.9626 Tf -24.907 -21.918 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -19.925 Td [(iam)]TJ 0 g 0 G -/F54 9.9626 Tf 22.137 0 Td [(Identi\002er)-250(of)-250(curr)18(ent)-250(pr)18(ocess)-250(in)-250(the)-250(PSBLAS)-250(virtual)-250(parallel)-250(machine.)]TJ 2.77 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -53.011 -11.956 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf 39.292 0 Td [(.)]TJ -66.38 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(value.)]TJ/F83 10.3811 Tf 134.19 0 Td [(\000)]TJ/F54 9.9626 Tf 8.194 0 Td [(1)]TJ/F83 10.3811 Tf 7.873 0 Td [(\024)]TJ/F52 9.9626 Tf 11.017 0 Td [(i)-47(a)-25(m)]TJ/F83 10.3811 Tf 18.677 0 Td [(\024)]TJ/F52 9.9626 Tf 11.086 0 Td [(n)-80(p)]TJ/F83 10.3811 Tf 13.504 0 Td [(\000)]TJ/F54 9.9626 Tf 10.131 0 Td [(1)]TJ +/F57 9.9626 Tf 22.137 0 Td [(Identi\002er)-250(of)-250(curr)18(ent)-250(pr)18(ocess)-250(in)-250(the)-250(PSBLAS)-250(virtual)-250(parallel)-250(machine.)]TJ 2.77 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ -53.011 -11.956 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf 39.292 0 Td [(.)]TJ -66.38 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(out)]TJ/F57 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(value.)]TJ/F86 10.3811 Tf 134.19 0 Td [(\000)]TJ/F57 9.9626 Tf 8.194 0 Td [(1)]TJ/F86 10.3811 Tf 7.873 0 Td [(\024)]TJ/F55 9.9626 Tf 11.017 0 Td [(i)-47(a)-25(m)]TJ/F86 10.3811 Tf 18.677 0 Td [(\024)]TJ/F55 9.9626 Tf 11.086 0 Td [(n)-80(p)]TJ/F86 10.3811 Tf 13.504 0 Td [(\000)]TJ/F57 9.9626 Tf 10.131 0 Td [(1)]TJ 0 g 0 G -/F51 9.9626 Tf -239.579 -19.925 Td [(np)]TJ +/F54 9.9626 Tf -239.579 -19.925 Td [(np)]TJ 0 g 0 G -/F54 9.9626 Tf 17.156 0 Td [(Number)-250(of)-250(pr)18(ocesses)-250(in)-250(the)-250(PSBLAS)-250(virtual)-250(parallel)-250(machine.)]TJ 7.751 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(global)]TJ/F54 9.9626 Tf 28.782 0 Td [(.)]TJ -60.214 -11.956 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf 39.292 0 Td [(.)]TJ -66.38 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(variable.)]TJ/F51 11.9552 Tf -24.907 -21.918 Td [(Notes)]TJ +/F57 9.9626 Tf 17.156 0 Td [(Number)-250(of)-250(pr)18(ocesses)-250(in)-250(the)-250(PSBLAS)-250(virtual)-250(parallel)-250(machine.)]TJ 7.751 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(global)]TJ/F57 9.9626 Tf 28.782 0 Td [(.)]TJ -60.214 -11.956 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf 39.292 0 Td [(.)]TJ -66.38 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(out)]TJ/F57 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(variable.)]TJ/F54 11.9552 Tf -24.907 -21.918 Td [(Notes)]TJ 0 g 0 G -/F54 9.9626 Tf 12.454 -19.925 Td [(1.)]TJ +/F57 9.9626 Tf 12.454 -19.925 Td [(1.)]TJ 0 g 0 G - [-500(For)-396(pr)18(ocesses)-396(in)-395(the)-396(virtual)-396(parallel)-396(machine)-396(the)-396(ident)1(i\002er)-396(will)-396(satisfy)]TJ 12.453 -11.955 Td [(0)]TJ/F83 10.3811 Tf 7.873 0 Td [(\024)]TJ/F52 9.9626 Tf 11.016 0 Td [(i)-47(a)-25(m)]TJ/F83 10.3811 Tf 18.678 0 Td [(\024)]TJ/F52 9.9626 Tf 11.086 0 Td [(n)-80(p)]TJ/F83 10.3811 Tf 13.504 0 Td [(\000)]TJ/F54 9.9626 Tf 10.131 0 Td [(1;)]TJ + [-500(For)-396(pr)18(ocesses)-396(in)-395(the)-396(virtual)-396(parallel)-396(machine)-396(the)-396(ident)1(i\002er)-396(will)-396(satisfy)]TJ 12.453 -11.955 Td [(0)]TJ/F86 10.3811 Tf 7.873 0 Td [(\024)]TJ/F55 9.9626 Tf 11.016 0 Td [(i)-47(a)-25(m)]TJ/F86 10.3811 Tf 18.678 0 Td [(\024)]TJ/F55 9.9626 Tf 11.086 0 Td [(n)-80(p)]TJ/F86 10.3811 Tf 13.504 0 Td [(\000)]TJ/F57 9.9626 Tf 10.131 0 Td [(1;)]TJ 0 g 0 G -84.741 -19.925 Td [(2.)]TJ 0 g 0 G - [-500(If)-349(the)-349(user)-350(has)-349(r)18(equested)-349(on)]TJ/F59 9.9626 Tf 142.217 0 Td [(psb_init)]TJ/F54 9.9626 Tf 45.321 0 Td [(a)-349(number)-349(of)-350(pr)18(ocesses)-349(less)-349(than)]TJ -175.085 -11.956 Td [(the)-321(total)-322(available)-321(in)-321(the)-322(parallel)-321(execution)-322(envir)18(onment,)-339(the)-321(r)18(emaining)]TJ 0 -11.955 Td [(pr)18(ocesses)-229(will)-228(have)-229(on)-229(r)18(eturn)]TJ/F52 9.9626 Tf 130.21 0 Td [(i)-47(a)-25(m)]TJ/F85 10.3811 Tf 18.678 0 Td [(=)]TJ/F83 10.3811 Tf 11.086 0 Td [(\000)]TJ/F54 9.9626 Tf 8.194 0 Td [(1;)-236(the)-229(on)1(ly)-229(call)-229(involving)]TJ/F59 9.9626 Tf 110.162 0 Td [(ctxt)]TJ/F54 9.9626 Tf 23.2 0 Td [(that)]TJ -301.53 -11.955 Td [(any)-250(such)-250(pr)18(ocess)-250(may)-250(execute)-250(is)-250(to)]TJ/F59 9.9626 Tf 155.296 0 Td [(psb_exit)]TJ/F54 9.9626 Tf 41.843 0 Td [(.)]TJ + [-500(If)-349(the)-349(user)-350(has)-349(r)18(equested)-349(on)]TJ/F62 9.9626 Tf 142.217 0 Td [(psb_init)]TJ/F57 9.9626 Tf 45.321 0 Td [(a)-349(number)-349(of)-350(pr)18(ocesses)-349(less)-349(than)]TJ -175.085 -11.956 Td [(the)-321(total)-322(available)-321(in)-321(the)-322(parallel)-321(execution)-322(envir)18(onment,)-339(the)-321(r)18(emaining)]TJ 0 -11.955 Td [(pr)18(ocesses)-229(will)-228(have)-229(on)-229(r)18(eturn)]TJ/F55 9.9626 Tf 130.21 0 Td [(i)-47(a)-25(m)]TJ/F88 10.3811 Tf 18.678 0 Td [(=)]TJ/F86 10.3811 Tf 11.086 0 Td [(\000)]TJ/F57 9.9626 Tf 8.194 0 Td [(1;)-236(the)-229(on)1(ly)-229(call)-229(involving)]TJ/F62 9.9626 Tf 110.162 0 Td [(ctxt)]TJ/F57 9.9626 Tf 23.2 0 Td [(that)]TJ -301.53 -11.955 Td [(any)-250(such)-250(pr)18(ocess)-250(may)-250(execute)-250(is)-250(to)]TJ/F62 9.9626 Tf 155.296 0 Td [(psb_exit)]TJ/F57 9.9626 Tf 41.843 0 Td [(.)]TJ 0 g 0 G -57.662 -174.311 Td [(111)]TJ 0 g 0 G @@ -20743,44 +20743,44 @@ stream 0 g 0 G 0 g 0 G BT -/F51 11.9552 Tf 150.705 706.129 Td [(7.3)-1000(psb)]TJ +/F54 11.9552 Tf 150.705 706.129 Td [(7.3)-1000(psb)]TJ ET q 1 0 0 1 198.238 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F51 11.9552 Tf 201.825 706.129 Td [(exit)-250(\227)-250(Exit)-250(from)-250(PSBLAS)-250(parallel)-250(environment)]TJ +/F54 11.9552 Tf 201.825 706.129 Td [(exit)-250(\227)-250(Exit)-250(from)-250(PSBLAS)-250(parallel)-250(environment)]TJ 0 g 0 G 0 g 0 G -/F59 9.9626 Tf -51.12 -18.964 Td [(call)-525(psb_exit\050ctxt\051)]TJ 0 -11.955 Td [(call)-525(psb_exit\050ctxt,close\051)]TJ/F54 9.9626 Tf 14.944 -21.918 Td [(This)-250(subr)18(outine)-250(exits)-250(fr)18(om)-250(the)-250(PSBLAS)-250(parallel)-250(virtual)-250(machine.)]TJ +/F62 9.9626 Tf -51.12 -18.964 Td [(call)-525(psb_exit\050ctxt\051)]TJ 0 -11.955 Td [(call)-525(psb_exit\050ctxt,close\051)]TJ/F57 9.9626 Tf 14.944 -21.918 Td [(This)-250(subr)18(outine)-250(exits)-250(fr)18(om)-250(the)-250(PSBLAS)-250(parallel)-250(virtual)-250(machine.)]TJ 0 g 0 G -/F51 9.9626 Tf -14.944 -19.925 Td [(T)90(ype:)]TJ +/F54 9.9626 Tf -14.944 -19.925 Td [(T)90(ype:)]TJ 0 g 0 G -/F54 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ +/F57 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ 0 g 0 G -/F51 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ +/F54 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -19.926 Td [(ctxt)]TJ 0 g 0 G -/F54 9.9626 Tf 21.021 0 Td [(the)-250(communication)-250(context)-250(identifying)-250(the)-250(virtual)-250(parallel)-250(machine.)]TJ 3.886 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.431 0 Td [(global)]TJ/F54 9.9626 Tf 28.782 0 Td [(.)]TJ -60.213 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf 39.292 0 Td [(.)]TJ -66.38 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(variable.)]TJ +/F57 9.9626 Tf 21.021 0 Td [(the)-250(communication)-250(context)-250(identifying)-250(the)-250(virtual)-250(parallel)-250(machine.)]TJ 3.886 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.431 0 Td [(global)]TJ/F57 9.9626 Tf 28.782 0 Td [(.)]TJ -60.213 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf 39.292 0 Td [(.)]TJ -66.38 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(variable.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.907 -19.926 Td [(close)]TJ +/F54 9.9626 Tf -24.907 -19.926 Td [(close)]TJ 0 g 0 G -/F54 9.9626 Tf 27.666 0 Td [(Whether)-369(to)-368(close)-369(all)-369(data)-368(str)8(uctur)18(es)-369(r)18(elated)-369(to)-368(the)-369(virtual)-369(parall)1(el)-369(ma-)]TJ -2.759 -11.955 Td [(chine,)-250(besides)-250(those)-250(associated)-250(with)-250(ctxt.)]TJ 0 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.431 0 Td [(global)]TJ/F54 9.9626 Tf 28.782 0 Td [(.)]TJ -60.213 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(optional)]TJ/F54 9.9626 Tf 38.186 0 Td [(.)]TJ -65.274 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.956 Td [(Speci\002ed)-250(as:)-310(a)-250(logical)-250(variable,)-250(default)-250(value:)-310(tr)8(ue.)]TJ/F51 11.9552 Tf -24.907 -19.925 Td [(Notes)]TJ +/F57 9.9626 Tf 27.666 0 Td [(Whether)-369(to)-368(close)-369(all)-369(data)-368(str)8(uctur)18(es)-369(r)18(elated)-369(to)-368(the)-369(virtual)-369(parall)1(el)-369(ma-)]TJ -2.759 -11.955 Td [(chine,)-250(besides)-250(those)-250(associated)-250(with)-250(ctxt.)]TJ 0 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.431 0 Td [(global)]TJ/F57 9.9626 Tf 28.782 0 Td [(.)]TJ -60.213 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(optional)]TJ/F57 9.9626 Tf 38.186 0 Td [(.)]TJ -65.274 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.956 Td [(Speci\002ed)-250(as:)-310(a)-250(logical)-250(variable,)-250(default)-250(value:)-310(tr)8(ue.)]TJ/F54 11.9552 Tf -24.907 -19.925 Td [(Notes)]TJ 0 g 0 G -/F54 9.9626 Tf 12.453 -19.925 Td [(1.)]TJ +/F57 9.9626 Tf 12.453 -19.925 Td [(1.)]TJ 0 g 0 G - [-500(This)-376(r)18(outine)-376(may)-377(be)-376(called)-376(even)-376(if)-377(a)-376(pr)18(evious)-376(call)-376(to)]TJ/F59 9.9626 Tf 255.069 0 Td [(psb_info)]TJ/F54 9.9626 Tf 45.591 0 Td [(has)-376(r)18(e-)]TJ -288.206 -11.955 Td [(turned)-251(with)]TJ/F52 9.9626 Tf 55.156 0 Td [(i)-47(a)-25(m)]TJ/F85 10.3811 Tf 18.696 0 Td [(=)]TJ/F83 10.3811 Tf 11.104 0 Td [(\000)]TJ/F54 9.9626 Tf 8.194 0 Td [(1;)-251(indeed,)-252(it)-251(it)-251(i)1(s)-251(the)-251(only)-251(r)18(outine)-251(that)-251(may)-251(be)-251(called)]TJ -93.15 -11.955 Td [(with)-250(ar)18(gument)]TJ/F59 9.9626 Tf 68.133 0 Td [(ctxt)]TJ/F54 9.9626 Tf 23.412 0 Td [(in)-250(this)-250(situation.)]TJ + [-500(This)-376(r)18(outine)-376(may)-377(be)-376(called)-376(even)-376(if)-377(a)-376(pr)18(evious)-376(call)-376(to)]TJ/F62 9.9626 Tf 255.069 0 Td [(psb_info)]TJ/F57 9.9626 Tf 45.591 0 Td [(has)-376(r)18(e-)]TJ -288.206 -11.955 Td [(turned)-251(with)]TJ/F55 9.9626 Tf 55.156 0 Td [(i)-47(a)-25(m)]TJ/F88 10.3811 Tf 18.696 0 Td [(=)]TJ/F86 10.3811 Tf 11.104 0 Td [(\000)]TJ/F57 9.9626 Tf 8.194 0 Td [(1;)-251(indeed,)-252(it)-251(it)-251(i)1(s)-251(the)-251(only)-251(r)18(outine)-251(that)-251(may)-251(be)-251(called)]TJ -93.15 -11.955 Td [(with)-250(ar)18(gument)]TJ/F62 9.9626 Tf 68.133 0 Td [(ctxt)]TJ/F57 9.9626 Tf 23.412 0 Td [(in)-250(this)-250(situation.)]TJ 0 g 0 G -103.999 -19.926 Td [(2.)]TJ 0 g 0 G - [-500(A)-269(call)-269(to)-268(this)-269(r)18(outine)-269(with)]TJ/F59 9.9626 Tf 128.502 0 Td [(close=.true.)]TJ/F54 9.9626 Tf 65.442 0 Td [(implies)-269(a)-268(call)-269(to)]TJ/F59 9.9626 Tf 72.059 0 Td [(MPI_Finalize)]TJ/F54 9.9626 Tf 62.764 0 Td [(,)]TJ -316.313 -11.955 Td [(after)-250(which)-250(no)-250(parallel)-250(r)18(outine)-250(may)-250(be)-250(called.)]TJ + [-500(A)-269(call)-269(to)-268(this)-269(r)18(outine)-269(with)]TJ/F62 9.9626 Tf 128.502 0 Td [(close=.true.)]TJ/F57 9.9626 Tf 65.442 0 Td [(implies)-269(a)-268(call)-269(to)]TJ/F62 9.9626 Tf 72.059 0 Td [(MPI_Finalize)]TJ/F57 9.9626 Tf 62.764 0 Td [(,)]TJ -316.313 -11.955 Td [(after)-250(which)-250(no)-250(parallel)-250(r)18(outine)-250(may)-250(be)-250(called.)]TJ 0 g 0 G -12.454 -19.925 Td [(3.)]TJ 0 g 0 G - [-500(If)-289(the)-288(user)-288(whishes)-289(to)-288(use)-289(multiple)-288(communication)-289(contexts)-288(in)-289(the)-288(same)]TJ 12.454 -11.955 Td [(pr)18(ogram,)-401(or)-371(to)-371(enter)-371(and)-371(exit)-371(multiple)-371(times)-370(into)-371(the)-371(parallel)-371(envir)18(on-)]TJ 0 -11.956 Td [(ment,)-425(this)-389(r)18(outine)-390(may)-390(be)-390(called)-389(to)-390(selectively)-390(close)-390(the)-389(contexts)-390(with)]TJ/F59 9.9626 Tf 0 -11.955 Td [(close=.false.)]TJ/F54 9.9626 Tf 67.994 0 Td [(,)-202(while)-190(on)-190(the)-190(last)-190(call)-190(it)-190(should)-190(be)-190(called)-190(with)]TJ/F59 9.9626 Tf 196.919 0 Td [(close=.true.)]TJ/F54 9.9626 Tf -264.913 -11.955 Td [(to)-250(shutdown)-250(in)-250(a)-250(clean)-250(way)-250(the)-250(entir)18(e)-250(parallel)-250(envir)18(onment.)]TJ + [-500(If)-289(the)-288(user)-288(whishes)-289(to)-288(use)-289(multiple)-288(communication)-289(contexts)-288(in)-289(the)-288(same)]TJ 12.454 -11.955 Td [(pr)18(ogram,)-401(or)-371(to)-371(enter)-371(and)-371(exit)-371(multiple)-371(times)-370(into)-371(the)-371(parallel)-371(envir)18(on-)]TJ 0 -11.956 Td [(ment,)-425(this)-389(r)18(outine)-390(may)-390(be)-390(called)-389(to)-390(selectively)-390(close)-390(the)-389(contexts)-390(with)]TJ/F62 9.9626 Tf 0 -11.955 Td [(close=.false.)]TJ/F57 9.9626 Tf 67.994 0 Td [(,)-202(while)-190(on)-190(the)-190(last)-190(call)-190(it)-190(should)-190(be)-190(called)-190(with)]TJ/F62 9.9626 Tf 196.919 0 Td [(close=.true.)]TJ/F57 9.9626 Tf -264.913 -11.955 Td [(to)-250(shutdown)-250(in)-250(a)-250(clean)-250(way)-250(the)-250(entir)18(e)-250(parallel)-250(envir)18(onment.)]TJ 0 g 0 G 139.477 -212.169 Td [(112)]TJ 0 g 0 G @@ -20796,49 +20796,49 @@ stream 0 g 0 G 0 g 0 G BT -/F51 11.9552 Tf 99.895 706.129 Td [(7.4)-1000(psb)]TJ +/F54 11.9552 Tf 99.895 706.129 Td [(7.4)-1000(psb)]TJ ET q 1 0 0 1 147.429 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F51 11.9552 Tf 151.016 706.129 Td [(get)]TJ +/F54 11.9552 Tf 151.016 706.129 Td [(get)]TJ ET q 1 0 0 1 168.338 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F51 11.9552 Tf 171.925 706.129 Td [(mpi)]TJ +/F54 11.9552 Tf 171.925 706.129 Td [(mpi)]TJ ET q 1 0 0 1 194.556 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F51 11.9552 Tf 198.143 706.129 Td [(comm)-250(\227)-250(Get)-250(the)-250(MPI)-250(communicator)]TJ +/F54 11.9552 Tf 198.143 706.129 Td [(comm)-250(\227)-250(Get)-250(the)-250(MPI)-250(communicator)]TJ 0 g 0 G 0 g 0 G -/F59 9.9626 Tf -98.248 -18.964 Td [(icomm)-525(=)-525(psb_get_mpi_comm\050ctxt\051)]TJ/F54 9.9626 Tf 14.944 -21.918 Td [(This)-417(func)1(tion)-417(r)18(eturns)-416(the)-417(MPI)-416(communicator)-417(associated)-416(with)-417(a)-416(PSBLAS)]TJ -14.944 -11.955 Td [(context)]TJ +/F62 9.9626 Tf -98.248 -18.964 Td [(icomm)-525(=)-525(psb_get_mpi_comm\050ctxt\051)]TJ/F57 9.9626 Tf 14.944 -21.918 Td [(This)-417(func)1(tion)-417(r)18(eturns)-416(the)-417(MPI)-416(communicator)-417(associated)-416(with)-417(a)-416(PSBLAS)]TJ -14.944 -11.955 Td [(context)]TJ 0 g 0 G -/F51 9.9626 Tf 0 -19.925 Td [(T)90(ype:)]TJ +/F54 9.9626 Tf 0 -19.925 Td [(T)90(ype:)]TJ 0 g 0 G -/F54 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ +/F57 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ 0 g 0 G -/F51 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ +/F54 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -19.926 Td [(ctxt)]TJ 0 g 0 G -/F54 9.9626 Tf 21.021 0 Td [(the)-250(communication)-250(context)-250(identifying)-250(the)-250(virtual)-250(parallel)-250(machine.)]TJ 3.886 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(global)]TJ/F54 9.9626 Tf 28.782 0 Td [(.)]TJ -60.214 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf 39.292 0 Td [(.)]TJ -66.38 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(variable.)]TJ +/F57 9.9626 Tf 21.021 0 Td [(the)-250(communication)-250(context)-250(identifying)-250(the)-250(virtual)-250(parallel)-250(machine.)]TJ 3.886 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(global)]TJ/F57 9.9626 Tf 28.782 0 Td [(.)]TJ -60.214 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf 39.292 0 Td [(.)]TJ -66.38 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(variable.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.907 -21.918 Td [(On)-250(Return)]TJ +/F54 9.9626 Tf -24.907 -21.918 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -19.926 Td [(Function)-250(value)]TJ 0 g 0 G -/F54 9.9626 Tf 72.777 0 Td [(The)-372(MPI)-371(communicator)-372(associated)-371(with)-372(the)-372(PSBLAS)-371(virtual)]TJ -47.87 -11.955 Td [(parallel)-250(machine.)]TJ 0 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(global)]TJ/F54 9.9626 Tf 28.782 0 Td [(.)]TJ -60.214 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf 39.292 0 Td [(.)]TJ -66.38 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ/F51 11.9552 Tf -71.651 -33.873 Td [(Notes)]TJ/F54 9.9626 Tf 34.165 0 Td [(The)-230(subr)18(outine)-230(version)]TJ/F59 9.9626 Tf 103.913 0 Td [(psb_get_mpicomm)]TJ/F54 9.9626 Tf 80.748 0 Td [(is)-230(still)-230(available)-230(but)-230(is)-230(depr)18(e-)]TJ -218.826 -11.955 Td [(cated.)]TJ +/F57 9.9626 Tf 72.777 0 Td [(The)-372(MPI)-371(communicator)-372(associated)-371(with)-372(the)-372(PSBLAS)-371(virtual)]TJ -47.87 -11.955 Td [(parallel)-250(machine.)]TJ 0 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(global)]TJ/F57 9.9626 Tf 28.782 0 Td [(.)]TJ -60.214 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf 39.292 0 Td [(.)]TJ -66.38 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(out)]TJ/F57 9.9626 Tf 14.944 0 Td [(.)]TJ/F54 11.9552 Tf -71.651 -33.873 Td [(Notes)]TJ/F57 9.9626 Tf 34.165 0 Td [(The)-230(subr)18(outine)-230(version)]TJ/F62 9.9626 Tf 103.913 0 Td [(psb_get_mpicomm)]TJ/F57 9.9626 Tf 80.748 0 Td [(is)-230(still)-230(available)-230(but)-230(is)-230(depr)18(e-)]TJ -218.826 -11.955 Td [(cated.)]TJ 0 g 0 G 164.384 -319.766 Td [(113)]TJ 0 g 0 G @@ -20854,53 +20854,53 @@ stream 0 g 0 G 0 g 0 G BT -/F51 11.9552 Tf 150.705 706.129 Td [(7.5)-1000(psb)]TJ +/F54 11.9552 Tf 150.705 706.129 Td [(7.5)-1000(psb)]TJ ET q 1 0 0 1 198.238 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F51 11.9552 Tf 201.825 706.129 Td [(get)]TJ +/F54 11.9552 Tf 201.825 706.129 Td [(get)]TJ ET q 1 0 0 1 219.148 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F51 11.9552 Tf 222.735 706.129 Td [(mpi)]TJ +/F54 11.9552 Tf 222.735 706.129 Td [(mpi)]TJ ET q 1 0 0 1 245.365 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F51 11.9552 Tf 248.952 706.129 Td [(rank)-250(\227)-250(Get)-250(the)-250(MPI)-250(rank)]TJ +/F54 11.9552 Tf 248.952 706.129 Td [(rank)-250(\227)-250(Get)-250(the)-250(MPI)-250(rank)]TJ 0 g 0 G 0 g 0 G -/F59 9.9626 Tf -98.247 -18.964 Td [(rank)-525(=)-525(psb_get_mpi_rank\050ctxt,)-525(id\051)]TJ/F54 9.9626 Tf 14.944 -21.918 Td [(This)-250(function)-250(r)18(eturns)-250(the)-250(MPI)-250(rank)-250(of)-250(the)-250(PSBLAS)-250(pr)18(ocess)]TJ/F52 9.9626 Tf 257.337 0 Td [(i)-32(d)]TJ +/F62 9.9626 Tf -98.247 -18.964 Td [(rank)-525(=)-525(psb_get_mpi_rank\050ctxt,)-525(id\051)]TJ/F57 9.9626 Tf 14.944 -21.918 Td [(This)-250(function)-250(r)18(eturns)-250(the)-250(MPI)-250(rank)-250(of)-250(the)-250(PSBLAS)-250(pr)18(ocess)]TJ/F55 9.9626 Tf 257.337 0 Td [(i)-32(d)]TJ 0 g 0 G -/F51 9.9626 Tf -272.281 -19.925 Td [(T)90(ype:)]TJ +/F54 9.9626 Tf -272.281 -19.925 Td [(T)90(ype:)]TJ 0 g 0 G -/F54 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ +/F57 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ 0 g 0 G -/F51 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ +/F54 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -19.926 Td [(ctxt)]TJ 0 g 0 G -/F54 9.9626 Tf 21.021 0 Td [(the)-250(communication)-250(context)-250(identifying)-250(the)-250(virtual)-250(parallel)-250(machine.)]TJ 3.886 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.431 0 Td [(global)]TJ/F54 9.9626 Tf 28.782 0 Td [(.)]TJ -60.213 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf 39.292 0 Td [(.)]TJ -66.38 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(variable.)]TJ +/F57 9.9626 Tf 21.021 0 Td [(the)-250(communication)-250(context)-250(identifying)-250(the)-250(virtual)-250(parallel)-250(machine.)]TJ 3.886 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.431 0 Td [(global)]TJ/F57 9.9626 Tf 28.782 0 Td [(.)]TJ -60.213 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf 39.292 0 Td [(.)]TJ -66.38 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(variable.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.907 -19.926 Td [(id)]TJ +/F54 9.9626 Tf -24.907 -19.926 Td [(id)]TJ 0 g 0 G -/F54 9.9626 Tf 14.386 0 Td [(Identi\002er)-250(of)-250(a)-250(pr)18(ocess)-250(in)-250(the)-250(PSBLAS)-250(virtual)-250(parallel)-250(machine.)]TJ 10.521 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.431 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -53.01 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf 39.292 0 Td [(.)]TJ -66.38 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(value.)-310(0)]TJ/F83 10.3811 Tf 141.938 0 Td [(\024)]TJ/F52 9.9626 Tf 11.017 0 Td [(i)-32(d)]TJ/F83 10.3811 Tf 11.086 0 Td [(\024)]TJ/F52 9.9626 Tf 11.086 0 Td [(n)-80(p)]TJ/F83 10.3811 Tf 13.503 0 Td [(\000)]TJ/F54 9.9626 Tf 10.132 0 Td [(1)]TJ +/F57 9.9626 Tf 14.386 0 Td [(Identi\002er)-250(of)-250(a)-250(pr)18(ocess)-250(in)-250(the)-250(PSBLAS)-250(virtual)-250(parallel)-250(machine.)]TJ 10.521 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.431 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ -53.01 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf 39.292 0 Td [(.)]TJ -66.38 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(value.)-310(0)]TJ/F86 10.3811 Tf 141.938 0 Td [(\024)]TJ/F55 9.9626 Tf 11.017 0 Td [(i)-32(d)]TJ/F86 10.3811 Tf 11.086 0 Td [(\024)]TJ/F55 9.9626 Tf 11.086 0 Td [(n)-80(p)]TJ/F86 10.3811 Tf 13.503 0 Td [(\000)]TJ/F57 9.9626 Tf 10.132 0 Td [(1)]TJ 0 g 0 G -/F51 9.9626 Tf -223.669 -21.918 Td [(On)-250(Return)]TJ +/F54 9.9626 Tf -223.669 -21.918 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -19.925 Td [(Funciton)-250(value)]TJ 0 g 0 G -/F54 9.9626 Tf 72.777 0 Td [(The)-250(MPI)-250(rank)-250(associated)-250(with)-250(the)-250(PSBLAS)-250(pr)18(ocess)]TJ/F52 9.9626 Tf 224.291 0 Td [(i)-32(d)]TJ/F54 9.9626 Tf 8.195 0 Td [(.)]TJ -280.356 -11.956 Td [(Scope:)]TJ/F51 9.9626 Tf 31.431 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -53.01 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf 39.292 0 Td [(.)]TJ -66.38 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ/F51 11.9552 Tf -71.651 -33.873 Td [(Notes)]TJ/F54 9.9626 Tf 35.734 0 Td [(The)-388(subr)18(outine)-387(version)]TJ/F59 9.9626 Tf 108.62 0 Td [(psb_get_rank)]TJ/F54 9.9626 Tf 66.626 0 Td [(is)-388(still)-387(available)-388(but)-387(is)-388(depr)18(e-)]TJ -210.98 -11.955 Td [(cated.)]TJ +/F57 9.9626 Tf 72.777 0 Td [(The)-250(MPI)-250(rank)-250(associated)-250(with)-250(the)-250(PSBLAS)-250(pr)18(ocess)]TJ/F55 9.9626 Tf 224.291 0 Td [(i)-32(d)]TJ/F57 9.9626 Tf 8.195 0 Td [(.)]TJ -280.356 -11.956 Td [(Scope:)]TJ/F54 9.9626 Tf 31.431 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ -53.01 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf 39.292 0 Td [(.)]TJ -66.38 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(out)]TJ/F57 9.9626 Tf 14.944 0 Td [(.)]TJ/F54 11.9552 Tf -71.651 -33.873 Td [(Notes)]TJ/F57 9.9626 Tf 35.734 0 Td [(The)-388(subr)18(outine)-387(version)]TJ/F62 9.9626 Tf 108.62 0 Td [(psb_get_rank)]TJ/F57 9.9626 Tf 66.626 0 Td [(is)-388(still)-387(available)-388(but)-387(is)-388(depr)18(e-)]TJ -210.98 -11.955 Td [(cated.)]TJ 0 g 0 G 164.384 -275.93 Td [(114)]TJ 0 g 0 G @@ -20916,28 +20916,28 @@ stream 0 g 0 G 0 g 0 G BT -/F51 11.9552 Tf 99.895 706.129 Td [(7.6)-1000(psb)]TJ +/F54 11.9552 Tf 99.895 706.129 Td [(7.6)-1000(psb)]TJ ET q 1 0 0 1 147.429 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F51 11.9552 Tf 151.016 706.129 Td [(wtime)-250(\227)-250(W)74(all)-250(clock)-250(timing)]TJ +/F54 11.9552 Tf 151.016 706.129 Td [(wtime)-250(\227)-250(W)74(all)-250(clock)-250(timing)]TJ 0 g 0 G 0 g 0 G -/F59 9.9626 Tf -51.121 -18.964 Td [(time)-525(=)-525(psb_wtime\050\051)]TJ/F54 9.9626 Tf 14.944 -21.918 Td [(This)-298(function)-298(r)18(eturns)-299(a)-298(wall)-298(clock)-298(timer)74(.)-455(The)-298(r)18(esolution)-298(of)-299(the)-298(timer)-298(is)-298(de-)]TJ -14.944 -11.955 Td 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11.9552 Tf -24.907 -21.918 Td [(Notes)]TJ 0 g 0 G -/F54 9.9626 Tf 12.454 -19.925 Td [(1.)]TJ +/F57 9.9626 Tf 12.454 -19.925 Td [(1.)]TJ 0 g 0 G - [-500(The)]TJ/F59 9.9626 Tf 31.023 0 Td [(dat)]TJ/F54 9.9626 Tf 17.584 0 Td [(ar)18(gument)-190(is)-190(both)-190(input)-190(and)-190(output,)-202(and)-190(its)-190(value)-190(may)-190(be)-190(changed)]TJ -36.154 -11.955 Td [(even)-250(on)-250(pr)18(ocesses)-250(dif)18(fer)18(ent)-250(fr)18(om)-250(the)-250(\002nal)-250(r)18(esult)-250(destination.)]TJ + [-500(The)]TJ/F62 9.9626 Tf 31.023 0 Td [(dat)]TJ/F57 9.9626 Tf 17.584 0 Td [(ar)18(gument)-190(is)-190(both)-190(input)-190(and)-190(output,)-202(and)-190(its)-190(value)-190(may)-190(be)-190(changed)]TJ -36.154 -11.955 Td [(even)-250(on)-250(pr)18(ocesses)-250(dif)18(fer)18(ent)-250(fr)18(om)-250(the)-250(\002nal)-250(r)18(esult)-250(destination.)]TJ 0 g 0 G -12.453 -19.925 Td [(2.)]TJ 0 g 0 G - [-500(The)]TJ/F59 9.9626 Tf 31.621 0 Td [(dat)]TJ/F54 9.9626 Tf 18.182 0 Td [(ar)18(gument)-250(may)-250(also)-250(be)-250(a)-250(long)-250(integer)-250(scalar)74(.)]TJ + [-500(The)]TJ/F62 9.9626 Tf 31.621 0 Td [(dat)]TJ/F57 9.9626 Tf 18.182 0 Td [(ar)18(gument)-250(may)-250(also)-250(be)-250(a)-250(long)-250(integer)-250(scalar)74(.)]TJ 0 g 0 G 102.127 -108.558 Td [(121)]TJ 0 g 0 G @@ -21797,51 +21797,51 @@ stream 0 g 0 G 0 g 0 G BT -/F51 11.9552 Tf 150.705 706.129 Td [(7.13)-1000(psb)]TJ +/F54 11.9552 Tf 150.705 706.129 Td [(7.13)-1000(psb)]TJ ET q 1 0 0 1 204.216 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F51 11.9552 Tf 207.803 706.129 Td [(amx)-250(\227)-250(Global)-250(maximum)-250(absolute)-250(value)]TJ +/F54 11.9552 Tf 207.803 706.129 Td [(amx)-250(\227)-250(Global)-250(maximum)-250(absolute)-250(value)]TJ 0 g 0 G 0 g 0 G -/F59 9.9626 Tf -57.098 -18.964 Td [(call)-525(psb_amx\050ctxt,)-525(dat,)-525(root\051)]TJ/F54 9.9626 Tf 14.944 -21.918 Td [(This)-342(subr)18(outine)-342(implements)-342(a)-342(maximum)-341(absolute)-342(value)-342(r)18(eduction)-342(opera-)]TJ -14.944 -11.955 Td [(tion)-250(based)-250(on)-250(the)-250(underlying)-250(communication)-250(library)111(.)]TJ +/F62 9.9626 Tf -57.098 -18.964 Td [(call)-525(psb_amx\050ctxt,)-525(dat,)-525(root\051)]TJ/F57 9.9626 Tf 14.944 -21.918 Td [(This)-342(subr)18(outine)-342(implements)-342(a)-342(maximum)-341(absolute)-342(value)-342(r)18(eduction)-342(opera-)]TJ -14.944 -11.955 Td [(tion)-250(based)-250(on)-250(the)-250(underlying)-250(communication)-250(library)111(.)]TJ 0 g 0 G -/F51 9.9626 Tf 0 -19.925 Td [(T)90(ype:)]TJ +/F54 9.9626 Tf 0 -19.925 Td [(T)90(ype:)]TJ 0 g 0 G -/F54 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ +/F57 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ 0 g 0 G -/F51 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ +/F54 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -19.926 Td [(ctxt)]TJ 0 g 0 G -/F54 9.9626 Tf 21.021 0 Td 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[(must)-215(agr)18(ee)-216(on)-215(sender)-215(and)-216(r)18(eceiver)-215(pr)18(ocess;)-227(if)]TJ/F52 9.9626 Tf 197.687 0 Td [(m)]TJ/F54 9.9626 Tf 10.021 0 Td [(is)-215(not)-216(speci\002ed,)-222(size)-215(must)]TJ -207.708 -11.955 Td [(agr)18(ee)-250(as)-250(well.)]TJ +/F57 9.9626 Tf 19.368 0 Td [(The)-250(data)-250(to)-250(be)-250(sent.)]TJ 5.539 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ -53.011 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf 39.292 0 Td [(.)]TJ -66.38 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-269(as:)-349(an)-269(integer)74(,)-274(r)18(eal)-269(or)-269(complex)-269(variable,)-274(which)-270(may)-269(be)-269(a)-269(scalar)74(,)]TJ 0 -11.955 Td [(or)-220(a)-220(rank)-219(1)-220(or)-220(2)-220(array)111(,)-226(or)-220(a)-219(character)-220(or)-220(logical)-220(scalar)74(.)-520(T)90(ype,)-225(kind)-220(and)-220(rank)]TJ 0 -11.956 Td [(must)-215(agr)18(ee)-216(on)-215(sender)-215(and)-216(r)18(eceiver)-215(pr)18(ocess;)-227(if)]TJ/F55 9.9626 Tf 197.687 0 Td [(m)]TJ/F57 9.9626 Tf 10.021 0 Td [(is)-215(not)-216(speci\002ed,)-222(size)-215(must)]TJ -207.708 -11.955 Td [(agr)18(ee)-250(as)-250(well.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.907 -19.925 Td [(dst)]TJ +/F54 9.9626 Tf -24.907 -19.925 Td [(dst)]TJ 0 g 0 G -/F54 9.9626 Tf 18.81 0 Td [(Destination)-250(pr)18(ocess.)]TJ 6.097 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(global)]TJ/F54 9.9626 Tf 28.782 0 Td [(.)]TJ -60.214 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf 39.292 0 Td [(.)]TJ -66.38 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(value)-250(0)]TJ/F61 10.3811 Tf 138.85 0 Td [(<)]TJ/F85 10.3811 Tf 8.319 0 Td [(=)]TJ/F52 9.9626 Tf 11.086 0 Td [(d)-25(s)-25(t)]TJ/F61 10.3811 Tf 15.689 0 Td [(<)]TJ/F85 10.3811 Tf 8.319 0 Td [(=)]TJ/F52 9.9626 Tf 11.086 0 Td [(n)-80(p)]TJ/F83 10.3811 Tf 13.503 0 Td [(\000)]TJ/F54 9.9626 Tf 10.131 0 Td [(1.)]TJ +/F57 9.9626 Tf 18.81 0 Td [(Destination)-250(pr)18(ocess.)]TJ 6.097 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(global)]TJ/F57 9.9626 Tf 28.782 0 Td [(.)]TJ -60.214 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf 39.292 0 Td [(.)]TJ -66.38 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(value)-250(0)]TJ/F64 10.3811 Tf 138.85 0 Td [(<)]TJ/F88 10.3811 Tf 8.319 0 Td [(=)]TJ/F55 9.9626 Tf 11.086 0 Td [(d)-25(s)-25(t)]TJ/F64 10.3811 Tf 15.689 0 Td [(<)]TJ/F88 10.3811 Tf 8.319 0 Td [(=)]TJ/F55 9.9626 Tf 11.086 0 Td [(n)-80(p)]TJ/F86 10.3811 Tf 13.503 0 Td [(\000)]TJ/F57 9.9626 Tf 10.131 0 Td [(1.)]TJ 0 g 0 G -/F51 9.9626 Tf -241.89 -31.88 Td [(m)]TJ +/F54 9.9626 Tf -241.89 -31.88 Td [(m)]TJ 0 g 0 G -/F54 9.9626 Tf 13.838 0 Td [(Number)-250(of)-250(r)18(ows.)]TJ 11.069 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(global)]TJ/F54 9.9626 Tf 28.782 0 Td [(.)]TJ -60.214 -11.956 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(Optional)]TJ/F54 9.9626 Tf 40.946 0 Td [(.)]TJ -68.034 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(value)-250(0)]TJ/F61 10.3811 Tf 138.85 0 Td [(<)]TJ/F85 10.3811 Tf 8.319 0 Td [(=)]TJ/F52 9.9626 Tf 11.086 0 Td [(m)]TJ/F61 10.3811 Tf 10.767 0 Td [(<)]TJ/F85 10.3811 Tf 8.319 0 Td [(=)]TJ/F52 9.9626 Tf 11.086 0 Td [(s)-18(i)-32(z)-25(e)]TJ/F85 10.3811 Tf 15.94 0 Td [(\050)]TJ/F52 9.9626 Tf 4.274 0 Td [(d)-40(a)-25(t)]TJ/F54 9.9626 Tf 13.494 0 Td [(,)-167(1)]TJ/F85 10.3811 Tf 9.257 0 Td [(\051)]TJ/F54 9.9626 Tf 4.15 0 Td [(.)]TJ -235.542 -11.955 Td [(When)]TJ/F52 9.9626 Tf 29.859 0 Td [(d)-40(a)-25(t)]TJ/F54 9.9626 Tf 16.898 0 Td [(is)-342(a)-341(rank)-342(2)-341(array)111(,)-365(speci\002es)-342(the)-341(number)-342(of)-341(r)18(ows)-342(to)-342(be)-341(sent)-342(in-)]TJ -46.757 -11.955 Td [(dependently)-341(of)-340(the)-341(leading)-341(dimension)]TJ/F52 9.9626 Tf 175.121 0 Td [(s)-18(i)-32(z)-25(e)]TJ/F85 10.3811 Tf 15.94 0 Td [(\050)]TJ/F52 9.9626 Tf 4.274 0 Td [(d)-40(a)-25(t)]TJ/F54 9.9626 Tf 13.494 0 Td [(,)-167(1)]TJ/F85 10.3811 Tf 9.257 0 Td [(\051)]TJ/F54 9.9626 Tf 4.15 0 Td [(;)-386(must)-341(have)-340(the)-341(same)]TJ -222.236 -11.955 Td [(value)-250(on)-250(sending)-250(and)-250(r)18(eceiving)-250(pr)18(ocesses.)]TJ +/F57 9.9626 Tf 13.838 0 Td [(Number)-250(of)-250(r)18(ows.)]TJ 11.069 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(global)]TJ/F57 9.9626 Tf 28.782 0 Td [(.)]TJ -60.214 -11.956 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(Optional)]TJ/F57 9.9626 Tf 40.946 0 Td [(.)]TJ -68.034 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(value)-250(0)]TJ/F64 10.3811 Tf 138.85 0 Td [(<)]TJ/F88 10.3811 Tf 8.319 0 Td [(=)]TJ/F55 9.9626 Tf 11.086 0 Td [(m)]TJ/F64 10.3811 Tf 10.767 0 Td [(<)]TJ/F88 10.3811 Tf 8.319 0 Td [(=)]TJ/F55 9.9626 Tf 11.086 0 Td [(s)-18(i)-32(z)-25(e)]TJ/F88 10.3811 Tf 15.94 0 Td [(\050)]TJ/F55 9.9626 Tf 4.274 0 Td [(d)-40(a)-25(t)]TJ/F57 9.9626 Tf 13.494 0 Td [(,)-167(1)]TJ/F88 10.3811 Tf 9.257 0 Td [(\051)]TJ/F57 9.9626 Tf 4.15 0 Td [(.)]TJ -235.542 -11.955 Td [(When)]TJ/F55 9.9626 Tf 29.859 0 Td [(d)-40(a)-25(t)]TJ/F57 9.9626 Tf 16.898 0 Td [(is)-342(a)-341(rank)-342(2)-341(array)111(,)-365(speci\002es)-342(the)-341(number)-342(of)-341(r)18(ows)-342(to)-342(be)-341(sent)-342(in-)]TJ -46.757 -11.955 Td [(dependently)-341(of)-340(the)-341(leading)-341(dimension)]TJ/F55 9.9626 Tf 175.121 0 Td [(s)-18(i)-32(z)-25(e)]TJ/F88 10.3811 Tf 15.94 0 Td [(\050)]TJ/F55 9.9626 Tf 4.274 0 Td [(d)-40(a)-25(t)]TJ/F57 9.9626 Tf 13.494 0 Td [(,)-167(1)]TJ/F88 10.3811 Tf 9.257 0 Td [(\051)]TJ/F57 9.9626 Tf 4.15 0 Td [(;)-386(must)-341(have)-340(the)-341(same)]TJ -222.236 -11.955 Td [(value)-250(on)-250(sending)-250(and)-250(r)18(eceiving)-250(pr)18(ocesses.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.907 -21.918 Td [(On)-250(Return)]TJ +/F54 9.9626 Tf -24.907 -21.918 Td [(On)-250(Return)]TJ 0 g 0 G -/F51 11.9552 Tf 0 -21.918 Td [(Notes)]TJ +/F54 11.9552 Tf 0 -21.918 Td [(Notes)]TJ 0 g 0 G -/F54 9.9626 Tf 12.454 -19.925 Td [(1.)]TJ +/F57 9.9626 Tf 12.454 -19.925 Td [(1.)]TJ 0 g 0 G - [-500(This)-292(subr)18(outine)-291(implies)-292(a)-292(synchr)18(onization,)-302(but)-292(only)-292(between)-291(the)-292(calling)]TJ 12.453 -11.955 Td [(pr)18(ocess)-250(and)-250(the)-250(destination)-250(pr)18(ocess)]TJ/F52 9.9626 Tf 158.309 0 Td [(d)-25(s)-25(t)]TJ/F54 9.9626 Tf 12.797 0 Td [(.)]TJ + [-500(This)-292(subr)18(outine)-291(implies)-292(a)-292(synchr)18(onization,)-302(but)-292(only)-292(between)-291(the)-292(calling)]TJ 12.453 -11.955 Td [(pr)18(ocess)-250(and)-250(the)-250(destination)-250(pr)18(ocess)]TJ/F55 9.9626 Tf 158.309 0 Td [(d)-25(s)-25(t)]TJ/F57 9.9626 Tf 12.797 0 Td [(.)]TJ 0 g 0 G -31.629 -104.573 Td [(125)]TJ 0 g 0 G @@ -22045,47 +22045,47 @@ stream 0 g 0 G 0 g 0 G BT -/F51 11.9552 Tf 150.705 706.129 Td [(7.17)-1000(psb)]TJ +/F54 11.9552 Tf 150.705 706.129 Td [(7.17)-1000(psb)]TJ ET q 1 0 0 1 204.216 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F51 11.9552 Tf 207.803 706.129 Td [(rcv)-250(\227)-250(Receive)-250(data)]TJ +/F54 11.9552 Tf 207.803 706.129 Td [(rcv)-250(\227)-250(Receive)-250(data)]TJ 0 g 0 G 0 g 0 G -/F59 9.9626 Tf -57.098 -18.964 Td [(call)-525(psb_rcv\050ctxt,)-525(dat,)-525(src,)-525(m\051)]TJ/F54 9.9626 Tf 14.944 -21.918 Td [(This)-250(subr)18(outine)-250(r)18(eceives)-250(a)-250(packet)-250(of)-250(data)-250(to)-250(a)-250(destination.)]TJ +/F62 9.9626 Tf -57.098 -18.964 Td [(call)-525(psb_rcv\050ctxt,)-525(dat,)-525(src,)-525(m\051)]TJ/F57 9.9626 Tf 14.944 -21.918 Td [(This)-250(subr)18(outine)-250(r)18(eceives)-250(a)-250(packet)-250(of)-250(data)-250(to)-250(a)-250(destination.)]TJ 0 g 0 G -/F51 9.9626 Tf -14.944 -19.925 Td [(T)90(ype:)]TJ +/F54 9.9626 Tf -14.944 -19.925 Td [(T)90(ype:)]TJ 0 g 0 G -/F54 9.9626 Tf 29.828 0 Td [(Synchr)18(onous:)-310(see)-250(usage)-250(notes.)]TJ +/F57 9.9626 Tf 29.828 0 Td [(Synchr)18(onous:)-310(see)-250(usage)-250(notes.)]TJ 0 g 0 G -/F51 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ +/F54 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -19.926 Td [(ctxt)]TJ 0 g 0 G -/F54 9.9626 Tf 21.021 0 Td [(the)-250(communication)-250(context)-250(identifying)-250(the)-250(virtual)-250(parallel)-250(machine.)]TJ 3.886 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.431 0 Td [(global)]TJ/F54 9.9626 Tf 28.782 0 Td [(.)]TJ -60.213 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf 39.292 0 Td [(.)]TJ -66.38 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(variable.)]TJ +/F57 9.9626 Tf 21.021 0 Td [(the)-250(communication)-250(context)-250(identifying)-250(the)-250(virtual)-250(parallel)-250(machine.)]TJ 3.886 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.431 0 Td [(global)]TJ/F57 9.9626 Tf 28.782 0 Td [(.)]TJ -60.213 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf 39.292 0 Td [(.)]TJ -66.38 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(variable.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.907 -19.926 Td [(src)]TJ +/F54 9.9626 Tf -24.907 -19.926 Td [(src)]TJ 0 g 0 G -/F54 9.9626 Tf 17.703 0 Td [(Sour)18(ce)-250(pr)18(ocess.)]TJ 7.204 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.431 0 Td [(global)]TJ/F54 9.9626 Tf 28.782 0 Td [(.)]TJ -60.213 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf 39.292 0 Td [(.)]TJ -66.38 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(value)-250(0)]TJ/F61 10.3811 Tf 138.85 0 Td [(<)]TJ/F85 10.3811 Tf 8.319 0 Td [(=)]TJ/F52 9.9626 Tf 11.086 0 Td [(s)-15(r)-17(c)]TJ/F61 10.3811 Tf 15.14 0 Td [(<)]TJ/F85 10.3811 Tf 8.319 0 Td [(=)]TJ/F52 9.9626 Tf 11.086 0 Td [(n)-80(p)]TJ/F83 10.3811 Tf 13.504 0 Td [(\000)]TJ/F54 9.9626 Tf 10.131 0 Td [(1.)]TJ +/F57 9.9626 Tf 17.703 0 Td [(Sour)18(ce)-250(pr)18(ocess.)]TJ 7.204 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.431 0 Td [(global)]TJ/F57 9.9626 Tf 28.782 0 Td [(.)]TJ -60.213 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf 39.292 0 Td [(.)]TJ -66.38 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(value)-250(0)]TJ/F64 10.3811 Tf 138.85 0 Td [(<)]TJ/F88 10.3811 Tf 8.319 0 Td [(=)]TJ/F55 9.9626 Tf 11.086 0 Td [(s)-15(r)-17(c)]TJ/F64 10.3811 Tf 15.14 0 Td [(<)]TJ/F88 10.3811 Tf 8.319 0 Td [(=)]TJ/F55 9.9626 Tf 11.086 0 Td [(n)-80(p)]TJ/F86 10.3811 Tf 13.504 0 Td [(\000)]TJ/F57 9.9626 Tf 10.131 0 Td [(1.)]TJ 0 g 0 G -/F51 9.9626 Tf -241.342 -31.881 Td [(m)]TJ +/F54 9.9626 Tf -241.342 -31.881 Td [(m)]TJ 0 g 0 G -/F54 9.9626 Tf 13.838 0 Td [(Number)-250(of)-250(r)18(ows.)]TJ 11.069 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.431 0 Td [(global)]TJ/F54 9.9626 Tf 28.782 0 Td [(.)]TJ -60.213 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(Optional)]TJ/F54 9.9626 Tf 40.946 0 Td [(.)]TJ -68.034 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(value)-250(0)]TJ/F61 10.3811 Tf 138.85 0 Td [(<)]TJ/F85 10.3811 Tf 8.319 0 Td [(=)]TJ/F52 9.9626 Tf 11.086 0 Td [(m)]TJ/F61 10.3811 Tf 10.767 0 Td [(<)]TJ/F85 10.3811 Tf 8.319 0 Td [(=)]TJ/F52 9.9626 Tf 11.086 0 Td [(s)-18(i)-32(z)-25(e)]TJ/F85 10.3811 Tf 15.94 0 Td [(\050)]TJ/F52 9.9626 Tf 4.274 0 Td [(d)-40(a)-25(t)]TJ/F54 9.9626 Tf 13.494 0 Td [(,)-167(1)]TJ/F85 10.3811 Tf 9.257 0 Td [(\051)]TJ/F54 9.9626 Tf 4.15 0 Td [(.)]TJ -235.542 -11.956 Td [(When)]TJ/F52 9.9626 Tf 29.859 0 Td [(d)-40(a)-25(t)]TJ/F54 9.9626 Tf 16.898 0 Td [(is)-342(a)-341(rank)-342(2)-341(array)111(,)-365(speci\002es)-342(the)-341(number)-342(of)-341(r)18(ows)-342(to)-342(be)-341(sent)-342(in-)]TJ -46.757 -11.955 Td [(dependently)-341(of)-340(the)-341(leading)-341(dimension)]TJ/F52 9.9626 Tf 175.121 0 Td [(s)-18(i)-32(z)-25(e)]TJ/F85 10.3811 Tf 15.94 0 Td [(\050)]TJ/F52 9.9626 Tf 4.274 0 Td [(d)-40(a)-25(t)]TJ/F54 9.9626 Tf 13.494 0 Td [(,)-167(1)]TJ/F85 10.3811 Tf 9.257 0 Td [(\051)]TJ/F54 9.9626 Tf 4.15 0 Td [(;)-386(must)-341(have)-340(the)-341(same)]TJ -222.236 -11.955 Td [(value)-250(on)-250(sending)-250(and)-250(r)18(eceiving)-250(pr)18(ocesses.)]TJ +/F57 9.9626 Tf 13.838 0 Td [(Number)-250(of)-250(r)18(ows.)]TJ 11.069 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.431 0 Td [(global)]TJ/F57 9.9626 Tf 28.782 0 Td [(.)]TJ -60.213 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(Optional)]TJ/F57 9.9626 Tf 40.946 0 Td [(.)]TJ -68.034 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(value)-250(0)]TJ/F64 10.3811 Tf 138.85 0 Td [(<)]TJ/F88 10.3811 Tf 8.319 0 Td [(=)]TJ/F55 9.9626 Tf 11.086 0 Td [(m)]TJ/F64 10.3811 Tf 10.767 0 Td [(<)]TJ/F88 10.3811 Tf 8.319 0 Td [(=)]TJ/F55 9.9626 Tf 11.086 0 Td [(s)-18(i)-32(z)-25(e)]TJ/F88 10.3811 Tf 15.94 0 Td [(\050)]TJ/F55 9.9626 Tf 4.274 0 Td [(d)-40(a)-25(t)]TJ/F57 9.9626 Tf 13.494 0 Td [(,)-167(1)]TJ/F88 10.3811 Tf 9.257 0 Td [(\051)]TJ/F57 9.9626 Tf 4.15 0 Td [(.)]TJ -235.542 -11.956 Td [(When)]TJ/F55 9.9626 Tf 29.859 0 Td [(d)-40(a)-25(t)]TJ/F57 9.9626 Tf 16.898 0 Td [(is)-342(a)-341(rank)-342(2)-341(array)111(,)-365(speci\002es)-342(the)-341(number)-342(of)-341(r)18(ows)-342(to)-342(be)-341(sent)-342(in-)]TJ -46.757 -11.955 Td [(dependently)-341(of)-340(the)-341(leading)-341(dimension)]TJ/F55 9.9626 Tf 175.121 0 Td [(s)-18(i)-32(z)-25(e)]TJ/F88 10.3811 Tf 15.94 0 Td [(\050)]TJ/F55 9.9626 Tf 4.274 0 Td [(d)-40(a)-25(t)]TJ/F57 9.9626 Tf 13.494 0 Td [(,)-167(1)]TJ/F88 10.3811 Tf 9.257 0 Td [(\051)]TJ/F57 9.9626 Tf 4.15 0 Td [(;)-386(must)-341(have)-340(the)-341(same)]TJ -222.236 -11.955 Td [(value)-250(on)-250(sending)-250(and)-250(r)18(eceiving)-250(pr)18(ocesses.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.907 -21.918 Td [(On)-250(Return)]TJ +/F54 9.9626 Tf -24.907 -21.918 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -19.925 Td [(dat)]TJ 0 g 0 G -/F54 9.9626 Tf 19.367 0 Td [(The)-250(data)-250(to)-250(be)-250(r)18(eceived.)]TJ 5.54 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.431 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -53.01 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf 39.292 0 Td [(.)]TJ -66.38 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(inout)]TJ/F54 9.9626 Tf 24.349 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-269(as:)-349(an)-269(integer)74(,)-274(r)18(eal)-269(or)-269(complex)-269(variable,)-274(which)-269(may)-270(be)-269(a)-269(scalar)74(,)]TJ 0 -11.955 Td [(or)-220(a)-220(rank)-219(1)-220(or)-220(2)-220(array)111(,)-226(or)-220(a)-219(character)-220(or)-220(logical)-220(scalar)74(.)-520(T)90(ype,)-225(kind)-220(and)-220(rank)]TJ 0 -11.955 Td [(must)-215(agr)18(ee)-216(on)-215(sender)-215(and)-216(r)18(eceiver)-215(pr)18(ocess;)-227(if)]TJ/F52 9.9626 Tf 197.687 0 Td [(m)]TJ/F54 9.9626 Tf 10.021 0 Td [(is)-215(not)-216(speci\002ed,)-222(size)-215(must)]TJ -207.708 -11.955 Td [(agr)18(ee)-250(as)-250(well.)]TJ/F51 11.9552 Tf -24.907 -21.918 Td [(Notes)]TJ +/F57 9.9626 Tf 19.367 0 Td [(The)-250(data)-250(to)-250(be)-250(r)18(eceived.)]TJ 5.54 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.431 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ -53.01 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf 39.292 0 Td [(.)]TJ -66.38 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(inout)]TJ/F57 9.9626 Tf 24.349 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-269(as:)-349(an)-269(integer)74(,)-274(r)18(eal)-269(or)-269(complex)-269(variable,)-274(which)-269(may)-270(be)-269(a)-269(scalar)74(,)]TJ 0 -11.955 Td [(or)-220(a)-220(rank)-219(1)-220(or)-220(2)-220(array)111(,)-226(or)-220(a)-219(character)-220(or)-220(logical)-220(scalar)74(.)-520(T)90(ype,)-225(kind)-220(and)-220(rank)]TJ 0 -11.955 Td [(must)-215(agr)18(ee)-216(on)-215(sender)-215(and)-216(r)18(eceiver)-215(pr)18(ocess;)-227(if)]TJ/F55 9.9626 Tf 197.687 0 Td [(m)]TJ/F57 9.9626 Tf 10.021 0 Td [(is)-215(not)-216(speci\002ed,)-222(size)-215(must)]TJ -207.708 -11.955 Td [(agr)18(ee)-250(as)-250(well.)]TJ/F54 11.9552 Tf -24.907 -21.918 Td [(Notes)]TJ 0 g 0 G -/F54 9.9626 Tf 12.453 -19.925 Td [(1.)]TJ +/F57 9.9626 Tf 12.453 -19.925 Td [(1.)]TJ 0 g 0 G - [-500(This)-292(subr)18(outine)-292(impli)1(es)-292(a)-292(synchr)18(onization,)-302(but)-292(only)-292(between)-291(the)-292(calling)]TJ 12.454 -11.955 Td [(pr)18(ocess)-250(and)-250(the)-250(sour)18(ce)-250(pr)18(ocess)]TJ/F52 9.9626 Tf 137.538 0 Td [(s)-15(r)-17(c)]TJ/F54 9.9626 Tf 12.248 0 Td [(.)]TJ + [-500(This)-292(subr)18(outine)-292(impli)1(es)-292(a)-292(synchr)18(onization,)-302(but)-292(only)-292(between)-291(the)-292(calling)]TJ 12.454 -11.955 Td [(pr)18(ocess)-250(and)-250(the)-250(sour)18(ce)-250(pr)18(ocess)]TJ/F55 9.9626 Tf 137.538 0 Td [(s)-15(r)-17(c)]TJ/F57 9.9626 Tf 12.248 0 Td [(.)]TJ 0 g 0 G -10.309 -104.573 Td [(126)]TJ 0 g 0 G @@ -22101,15 +22101,15 @@ stream 0 g 0 G 0 g 0 G BT -/F51 14.3462 Tf 99.895 705.784 Td [(8)-1000(Error)-250(handling)]TJ/F54 9.9626 Tf 0 -22.702 Td [(The)-382(PSBLAS)-382(library)-381(err)18(or)-382(handling)-382(policy)-382(has)-382(been)-382(completely)-381(r)18(ewritten)-382(in)]TJ 0 -11.955 Td [(version)-359(2.0.)-638(The)-359(idea)-359(behind)-360(the)-359(design)-359(of)-359(this)-360(new)-359(err)18(or)-359(handling)-359(strategy)]TJ 0 -11.955 Td [(is)-303(to)-303(keep)-303(err)18(or)-303(messages)-303(on)-303(a)-303(stack)-303(allowing)-303(the)-303(user)-303(to)-303(trace)-303(back)-303(up)-303(to)-303(the)]TJ 0 -11.955 Td [(point)-317(wher)18(e)-318(the)-317(\002rst)-318(e)1(rr)18(or)-318(message)-317(has)-318(been)-317(generated.)-512(Every)-317(r)18(outine)-318(in)-317(the)]TJ 0 -11.956 Td [(PSBLAS-2.0)-336(library)-336(has,)-358(as)-336(last)-337(non-optional)-336(ar)18(gument,)-358(an)-336(integer)]TJ/F59 9.9626 Tf 298.679 0 Td [(info)]TJ/F54 9.9626 Tf 24.271 0 Td [(vari-)]TJ -322.95 -11.955 Td [(able;)-364(whenever)74(,)-344(inside)-326(the)-326(r)18(outine,)-345(an)-326(err)18(or)-325(is)-326(detected,)-345(this)-326(variable)-326(is)-325(set)-326(to)]TJ 0 -11.955 Td [(a)-384(value)-384(corr)18(esponding)-384(to)-384(a)-384(speci\002c)-384(err)18(or)-384(code.)-711(Then)-384(this)-384(err)18(or)-384(code)-384(is)-384(also)]TJ 0 -11.955 Td [(pushed)-274(on)-273(the)-274(err)18(or)-274(stack)-274(and)-273(then)-274(either)-274(contr)18(ol)-274(is)-273(r)18(eturned)-274(to)-274(the)-273(caller)-274(r)18(ou-)]TJ 0 -11.955 Td [(tine)-342(or)-342(the)-342(execution)-343(is)-342(aborted,)-365(depending)-342(on)-342(the)-342(users)-342(choice.)-587(At)-342(the)-342(time)]TJ 0 -11.955 Td [(when)-243(the)-242(execution)-243(is)-242(aborted,)-244(an)-243(err)18(or)-242(message)-243(is)-243(printed)-242(on)-243(standar)18(d)-242(output)]TJ 0 -11.956 Td [(with)-257(a)-256(level)-257(of)-256(verbosity)-257(than)-256(can)-257(be)-257(chosen)-256(by)-257(the)-256(user)74(.)-330(If)-257(the)-256(execution)-257(is)-256(not)]TJ 0 -11.955 Td [(aborted,)-259(then,)-259(the)-257(caller)-258(r)18(ou)1(tine)-258(checks)-257(the)-257(value)-257(r)18(eturned)-258(in)-257(the)]TJ/F59 9.9626 Tf 284.621 0 Td [(info)]TJ/F54 9.9626 Tf 23.485 0 Td [(variable)]TJ -308.106 -11.955 Td [(and,)-290(if)-282(not)-282(zer)18(o,)-291(an)-282(err)18(or)-282(condition)-282(is)-282(raised.)-407(This)-282(pr)18(ocess)-282(continues)-282(on)-282(all)-282(the)]TJ 0 -11.955 Td [(levels)-203(of)-203(nested)-203(calls)-203(until)-203(the)-203(level)-203(wher)18(e)-203(the)-202(user)-203(decides)-203(to)-203(abort)-203(the)-203(pr)18(ogram)]TJ 0 -11.955 Td [(execution.)]TJ 14.944 -11.955 Td [(Figur)18(e)]TJ +/F54 14.3462 Tf 99.895 705.784 Td [(8)-1000(Error)-250(handling)]TJ/F57 9.9626 Tf 0 -22.702 Td [(The)-382(PSBLAS)-382(library)-381(err)18(or)-382(handling)-382(policy)-382(has)-382(been)-382(completely)-381(r)18(ewritten)-382(in)]TJ 0 -11.955 Td [(version)-359(2.0.)-638(The)-359(idea)-359(behind)-360(the)-359(design)-359(of)-359(this)-360(new)-359(err)18(or)-359(handling)-359(strategy)]TJ 0 -11.955 Td [(is)-303(to)-303(keep)-303(err)18(or)-303(messages)-303(on)-303(a)-303(stack)-303(allowing)-303(the)-303(user)-303(to)-303(trace)-303(back)-303(up)-303(to)-303(the)]TJ 0 -11.955 Td [(point)-317(wher)18(e)-318(the)-317(\002rst)-318(e)1(rr)18(or)-318(message)-317(has)-318(been)-317(generated.)-512(Every)-317(r)18(outine)-318(in)-317(the)]TJ 0 -11.956 Td [(PSBLAS-2.0)-336(library)-336(has,)-358(as)-336(last)-337(non-optional)-336(ar)18(gument,)-358(an)-336(integer)]TJ/F62 9.9626 Tf 298.679 0 Td [(info)]TJ/F57 9.9626 Tf 24.271 0 Td [(vari-)]TJ -322.95 -11.955 Td [(able;)-364(whenever)74(,)-344(inside)-326(the)-326(r)18(outine,)-345(an)-326(err)18(or)-325(is)-326(detected,)-345(this)-326(variable)-326(is)-325(set)-326(to)]TJ 0 -11.955 Td [(a)-384(value)-384(corr)18(esponding)-384(to)-384(a)-384(speci\002c)-384(err)18(or)-384(code.)-711(Then)-384(this)-384(err)18(or)-384(code)-384(is)-384(also)]TJ 0 -11.955 Td [(pushed)-274(on)-273(the)-274(err)18(or)-274(stack)-274(and)-273(then)-274(either)-274(contr)18(ol)-274(is)-273(r)18(eturned)-274(to)-274(the)-273(caller)-274(r)18(ou-)]TJ 0 -11.955 Td [(tine)-342(or)-342(the)-342(execution)-343(is)-342(aborted,)-365(depending)-342(on)-342(the)-342(users)-342(choice.)-587(At)-342(the)-342(time)]TJ 0 -11.955 Td [(when)-243(the)-242(execution)-243(is)-242(aborted,)-244(an)-243(err)18(or)-242(message)-243(is)-243(printed)-242(on)-243(standar)18(d)-242(output)]TJ 0 -11.956 Td [(with)-257(a)-256(level)-257(of)-256(verbosity)-257(than)-256(can)-257(be)-257(chosen)-256(by)-257(the)-256(user)74(.)-330(If)-257(the)-256(execution)-257(is)-256(not)]TJ 0 -11.955 Td [(aborted,)-259(then,)-259(the)-257(caller)-258(r)18(ou)1(tine)-258(checks)-257(the)-257(value)-257(r)18(eturned)-258(in)-257(the)]TJ/F62 9.9626 Tf 284.621 0 Td [(info)]TJ/F57 9.9626 Tf 23.485 0 Td [(variable)]TJ -308.106 -11.955 Td [(and,)-290(if)-282(not)-282(zer)18(o,)-291(an)-282(err)18(or)-282(condition)-282(is)-282(raised.)-407(This)-282(pr)18(ocess)-282(continues)-282(on)-282(all)-282(the)]TJ 0 -11.955 Td [(levels)-203(of)-203(nested)-203(calls)-203(until)-203(the)-203(level)-203(wher)18(e)-203(the)-202(user)-203(decides)-203(to)-203(abort)-203(the)-203(pr)18(ogram)]TJ 0 -11.955 Td [(execution.)]TJ 14.944 -11.955 Td [(Figur)18(e)]TJ 0 0 1 rg 0 0 1 RG [-286(5)]TJ 0 g 0 G - [-285(shows)-286(the)-286(layout)-285(of)-286(a)-285(generic)]TJ/F59 9.9626 Tf 172.065 0 Td [(psb_foo)]TJ/F54 9.9626 Tf 39.458 0 Td [(r)18(outine)-286(with)-285(r)18(espect)-286(to)-285(the)]TJ -226.467 -11.956 Td [(PSBLAS-2.0)-258(err)18(or)-259(handling)-258(policy)111(.)-335(It)-258(is)-258(possible)-259(to)-258(see)-258(how)92(,)-261(whenever)-258(an)-258(err)18(or)]TJ 0 -11.955 Td [(condition)-298(is)-299(detected,)-310(the)]TJ/F59 9.9626 Tf 114.88 0 Td [(info)]TJ/F54 9.9626 Tf 23.893 0 Td [(variable)-298(is)-299(se)1(t)-299(to)-298(the)-298(corr)18(esponding)-299(err)18(or)-298(code)]TJ -138.773 -11.955 Td [(which)-309(is,)-324(then,)-325(pushe)1(d)-310(on)-309(top)-309(of)-310(the)-309(stack)-309(by)-309(means)-310(of)-309(the)]TJ/F59 9.9626 Tf 265.277 0 Td [(psb_errpush)]TJ/F54 9.9626 Tf 57.534 0 Td [(.)-488(An)]TJ -322.811 -11.955 Td [(err)18(or)-325(condition)-326(may)-325(be)-326(dir)18(ectly)-325(detected)-325(inside)-326(a)-325(r)18(outine)-325(or)-326(indir)18(ectly)-325(check-)]TJ 0 -11.955 Td [(ing)-331(the)-331(err)18(or)-331(code)-331(r)18(eturned)-331(r)18(eturned)-331(by)-331(a)-331(called)-331(r)18(outine.)-553(Whenever)-331(an)-331(err)18(or)]TJ 0 -11.956 Td [(is)-254(e)1(ncounter)18(ed,)-255(after)-253(it)-254(has)-253(been)-254(pushed)-253(on)-254(stack,)-254(the)-253(pr)18(ogram)-254(execution)-253(skips)]TJ 0 -11.955 Td [(to)-264(a)-265(point)-264(wher)18(e)-264(the)-265(err)18(or)-264(condition)-264(is)-265(handl)1(ed;)-272(the)-264(err)18(or)-265(condition)-264(is)-264(handled)]TJ 0 -11.955 Td [(either)-336(by)-336(r)18(eturning)-336(contr)18(ol)-336(to)-336(the)-336(caller)-336(r)18(outine)-335(or)-336(by)-336(calling)-336(the)]TJ/F59 9.9626 Tf 291.408 0 Td [(psb\134_error)]TJ/F54 9.9626 Tf -291.408 -11.955 Td [(r)18(outine)-273(which)-274(prints)-273(the)-274(content)-273(of)-273(the)-274(err)18(or)-273(stack)-274(and)-273(aborts)-273(the)-274(pr)18(ogram)-273(ex-)]TJ 0 -11.955 Td [(ecution,)-373(accor)18(ding)-348(to)-348(the)-348(choice)-348(made)-348(by)-348(the)-348(user)-348(with)]TJ/F59 9.9626 Tf 252.305 0 Td [(psb_set_erraction)]TJ/F54 9.9626 Tf 88.916 0 Td [(.)]TJ -341.221 -11.955 Td [(The)-297(default)-296(is)-297(to)-296(print)-297(the)-297(err)18(or)-296(and)-297(terminate)-296(the)-297(pr)18(ogram,)-308(but)-297(the)-297(user)-296(may)]TJ 0 -11.956 Td [(choose)-250(to)-250(handle)-250(the)-250(err)18(or)-250(explicitly)111(.)]TJ 14.944 -11.955 Td [(Figur)18(e)]TJ + [-285(shows)-286(the)-286(layout)-285(of)-286(a)-285(generic)]TJ/F62 9.9626 Tf 172.065 0 Td [(psb_foo)]TJ/F57 9.9626 Tf 39.458 0 Td [(r)18(outine)-286(with)-285(r)18(espect)-286(to)-285(the)]TJ -226.467 -11.956 Td [(PSBLAS-2.0)-258(err)18(or)-259(handling)-258(policy)111(.)-335(It)-258(is)-258(possible)-259(to)-258(see)-258(how)92(,)-261(whenever)-258(an)-258(err)18(or)]TJ 0 -11.955 Td [(condition)-298(is)-299(detected,)-310(the)]TJ/F62 9.9626 Tf 114.88 0 Td [(info)]TJ/F57 9.9626 Tf 23.893 0 Td [(variable)-298(is)-299(se)1(t)-299(to)-298(the)-298(corr)18(esponding)-299(err)18(or)-298(code)]TJ -138.773 -11.955 Td [(which)-309(is,)-324(then,)-325(pushe)1(d)-310(on)-309(top)-309(of)-310(the)-309(stack)-309(by)-309(means)-310(of)-309(the)]TJ/F62 9.9626 Tf 265.277 0 Td [(psb_errpush)]TJ/F57 9.9626 Tf 57.534 0 Td [(.)-488(An)]TJ -322.811 -11.955 Td [(err)18(or)-325(condition)-326(may)-325(be)-326(dir)18(ectly)-325(detected)-325(inside)-326(a)-325(r)18(outine)-325(or)-326(indir)18(ectly)-325(check-)]TJ 0 -11.955 Td [(ing)-331(the)-331(err)18(or)-331(code)-331(r)18(eturned)-331(r)18(eturned)-331(by)-331(a)-331(called)-331(r)18(outine.)-553(Whenever)-331(an)-331(err)18(or)]TJ 0 -11.956 Td [(is)-254(e)1(ncounter)18(ed,)-255(after)-253(it)-254(has)-253(been)-254(pushed)-253(on)-254(stack,)-254(the)-253(pr)18(ogram)-254(execution)-253(skips)]TJ 0 -11.955 Td [(to)-264(a)-265(point)-264(wher)18(e)-264(the)-265(err)18(or)-264(condition)-264(is)-265(handl)1(ed;)-272(the)-264(err)18(or)-265(condition)-264(is)-264(handled)]TJ 0 -11.955 Td [(either)-336(by)-336(r)18(eturning)-336(contr)18(ol)-336(to)-336(the)-336(caller)-336(r)18(outine)-335(or)-336(by)-336(calling)-336(the)]TJ/F62 9.9626 Tf 291.408 0 Td [(psb\134_error)]TJ/F57 9.9626 Tf -291.408 -11.955 Td [(r)18(outine)-273(which)-274(prints)-273(the)-274(content)-273(of)-273(the)-274(err)18(or)-273(stack)-274(and)-273(aborts)-273(the)-274(pr)18(ogram)-273(ex-)]TJ 0 -11.955 Td [(ecution,)-373(accor)18(ding)-348(to)-348(the)-348(choice)-348(made)-348(by)-348(the)-348(user)-348(with)]TJ/F62 9.9626 Tf 252.305 0 Td [(psb_set_erraction)]TJ/F57 9.9626 Tf 88.916 0 Td [(.)]TJ -341.221 -11.955 Td [(The)-297(default)-296(is)-297(to)-296(print)-297(the)-297(err)18(or)-296(and)-297(terminate)-296(the)-297(pr)18(ogram,)-308(but)-297(the)-297(user)-296(may)]TJ 0 -11.956 Td [(choose)-250(to)-250(handle)-250(the)-250(err)18(or)-250(explicitly)111(.)]TJ 14.944 -11.955 Td [(Figur)18(e)]TJ 0 0 1 rg 0 0 1 RG [-347(6)]TJ 0 g 0 G - [-348(r)18(eports)-347(a)-347(sample)-347(err)18(or)-348(message)-347(generated)-347(by)-348(the)-347(PSBLAS-2.0)-347(li-)]TJ -14.944 -11.955 Td [(brary)111(.)-539(This)-327(err)18(or)-326(has)-327(been)-326(generated)-327(by)-326(the)-327(fact)-326(that)-326(the)-327(user)-326(has)-327(chosen)-326(the)]TJ 0 -11.955 Td [(invalid)-379(\223FOO\224)-380(storage)-379(format)-379(to)-380(r)18(epr)18(esent)-379(the)-379(sparse)-380(mat)1(rix.)-699(Fr)18(om)-379(this)-379(er)18(-)]TJ 0 -11.955 Td [(r)18(or)-394(message)-393(it)-394(is)-393(possible)-394(to)-394(see)-393(that)-394(the)-393(err)18(or)-394(has)-393(been)-394(detected)-394(inside)-393(the)]TJ/F59 9.9626 Tf 0 -11.955 Td [(psb_cest)]TJ/F54 9.9626 Tf 45.361 0 Td [(subr)18(outine)-353(called)-353(by)]TJ/F59 9.9626 Tf 95.326 0 Td [(psb_spasb)]TJ/F54 9.9626 Tf 50.591 0 Td [(...)-619(by)-354(pr)18(ocess)-353(0)-353(\050i.e.)-619(the)-353(r)18(oot)-354(pr)18(o-)]TJ -191.278 -11.956 Td [(cess\051.)]TJ + [-348(r)18(eports)-347(a)-347(sample)-347(err)18(or)-348(message)-347(generated)-347(by)-348(the)-347(PSBLAS-2.0)-347(li-)]TJ -14.944 -11.955 Td [(brary)111(.)-539(This)-327(err)18(or)-326(has)-327(been)-326(generated)-327(by)-326(the)-327(fact)-326(that)-326(the)-327(user)-326(has)-327(chosen)-326(the)]TJ 0 -11.955 Td [(invalid)-379(\223FOO\224)-380(storage)-379(format)-379(to)-380(r)18(epr)18(esent)-379(the)-379(sparse)-380(mat)1(rix.)-699(Fr)18(om)-379(this)-379(er)18(-)]TJ 0 -11.955 Td [(r)18(or)-394(message)-393(it)-394(is)-393(possible)-394(to)-394(see)-393(that)-394(the)-393(err)18(or)-394(has)-393(been)-394(detected)-394(inside)-393(the)]TJ/F62 9.9626 Tf 0 -11.955 Td [(psb_cest)]TJ/F57 9.9626 Tf 45.361 0 Td [(subr)18(outine)-353(called)-353(by)]TJ/F62 9.9626 Tf 95.326 0 Td [(psb_spasb)]TJ/F57 9.9626 Tf 50.591 0 Td [(...)-619(by)-354(pr)18(ocess)-353(0)-353(\050i.e.)-619(the)-353(r)18(oot)-354(pr)18(o-)]TJ -191.278 -11.956 Td [(cess\051.)]TJ 0 g 0 G 164.384 -198.123 Td [(127)]TJ 0 g 0 G @@ -22135,14 +22135,14 @@ Q 0 g 0 G 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG BT -/F59 9.9626 Tf 153.694 698.757 Td [(subroutine)]TJ +/F62 9.9626 Tf 153.694 698.757 Td [(subroutine)]TJ 0 g 0 G [-525(psb_foo\050some)-525(args,)-525(info\051)]TJ 0.38 0.63 0.69 rg 0.38 0.63 0.69 RG -/F115 9.9626 Tf 15.691 -11.956 Td [(!...)]TJ +/F118 9.9626 Tf 15.691 -11.956 Td [(!...)]TJ 0 g 0 G 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG -/F59 9.9626 Tf 0 -11.955 Td [(if)]TJ +/F62 9.9626 Tf 0 -11.955 Td [(if)]TJ 0 g 0 G [(\050error)-525(detected\051)]TJ 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG @@ -22173,10 +22173,10 @@ BT -15.691 -11.955 Td [(end)-525(if)]TJ 0 g 0 G 0.38 0.63 0.69 rg 0.38 0.63 0.69 RG -/F115 9.9626 Tf 0 -11.956 Td [(!...)]TJ +/F118 9.9626 Tf 0 -11.956 Td [(!...)]TJ 0 g 0 G 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG -/F59 9.9626 Tf 0 -11.955 Td [(call)]TJ +/F62 9.9626 Tf 0 -11.955 Td [(call)]TJ 0 g 0 G [-525(psb_bar\050some)-525(args,)-525(info\051)]TJ 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG @@ -22211,10 +22211,10 @@ BT -15.691 -11.955 Td [(end)-525(if)]TJ 0 g 0 G 0.38 0.63 0.69 rg 0.38 0.63 0.69 RG -/F115 9.9626 Tf 0 -11.955 Td [(!...)]TJ +/F118 9.9626 Tf 0 -11.955 Td [(!...)]TJ 0 g 0 G 0.25 0.63 0.44 rg 0.25 0.63 0.44 RG -/F59 9.9626 Tf -15.691 -11.955 Td [(9999)]TJ +/F62 9.9626 Tf -15.691 -11.955 Td [(9999)]TJ 0 g 0 G 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG [-525(continue)]TJ @@ -22249,17 +22249,17 @@ BT 0.95 0.95 0.95 rg 0.95 0.95 0.95 RG 0 g 0 G 0 g 0 G -/F54 9.9626 Tf -2.989 -41.729 Td [(Listing)-289(5:)-387(The)-289(layout)-289(of)-289(a)-289(g)1(eneric)]TJ/F59 9.9626 Tf 149.96 0 Td [(psb)]TJ +/F57 9.9626 Tf -2.989 -41.729 Td [(Listing)-289(5:)-387(The)-289(layout)-289(of)-289(a)-289(g)1(eneric)]TJ/F62 9.9626 Tf 149.96 0 Td [(psb)]TJ ET q 1 0 0 1 316.983 382.258 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 320.121 382.059 Td [(foo)]TJ/F54 9.9626 Tf 18.569 0 Td [(r)18(outine)-289(with)-289(r)18(espe)1(ct)-289(to)-289(PSBLAS-2.0)]TJ -187.985 -11.955 Td [(err)18(or)-250(handling)-250(policy)111(.)]TJ +/F62 9.9626 Tf 320.121 382.059 Td [(foo)]TJ/F57 9.9626 Tf 18.569 0 Td [(r)18(outine)-289(with)-289(r)18(espe)1(ct)-289(to)-289(PSBLAS-2.0)]TJ -187.985 -11.955 Td [(err)18(or)-250(handling)-250(policy)111(.)]TJ 0 g 0 G 0.40 0.40 0.40 rg 0.40 0.40 0.40 RG -/F59 9.9626 Tf 0 -19.609 Td [(==========================================================)]TJ +/F62 9.9626 Tf 0 -19.609 Td [(==========================================================)]TJ 0 g 0 G 0 -11.955 Td [(Process:)]TJ 0.25 0.63 0.44 rg 0.25 0.63 0.44 RG @@ -22359,14 +22359,14 @@ BT 0 g 0 G 0 -11.955 Td [(Aborting...)]TJ 0 g 0 G -/F54 9.9626 Tf 0 -29.397 Td [(Listing)-364(6:)-537(A)-364(sample)-364(PSBLAS-3.0)-363(err)18(or)-364(message.)-651(Pr)18(ocess)-364(0)-364(detected)-363(an)-364(err)18(or)]TJ 0 -11.955 Td [(condition)-250(inside)-250(the)-250(psb)]TJ +/F57 9.9626 Tf 0 -29.397 Td [(Listing)-364(6:)-537(A)-364(sample)-364(PSBLAS-3.0)-363(err)18(or)-364(message.)-651(Pr)18(ocess)-364(0)-364(detected)-363(an)-364(err)18(or)]TJ 0 -11.955 Td [(condition)-250(inside)-250(the)-250(psb)]TJ ET q 1 0 0 1 257.025 153.925 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 260.013 153.726 Td [(cest)-250(subr)18(outine)]TJ +/F57 9.9626 Tf 260.013 153.726 Td [(cest)-250(subr)18(outine)]TJ 0 g 0 G 55.075 -63.288 Td [(128)]TJ 0 g 0 G @@ -22382,57 +22382,57 @@ stream 0 g 0 G 0 g 0 G BT -/F51 11.9552 Tf 99.895 706.129 Td [(8.1)-1000(psb)]TJ +/F54 11.9552 Tf 99.895 706.129 Td [(8.1)-1000(psb)]TJ ET q 1 0 0 1 147.429 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F51 11.9552 Tf 151.016 706.129 Td [(errpush)-250(\227)-250(Pushes)-250(an)-250(error)-250(code)-250(onto)-250(the)-250(error)-250(stack)]TJ/F54 9.9626 Tf -49.379 -24.942 Td [(c)-175(a)-175(l)-174(l)-874(p)-98(s)-99(b)]TJ +/F54 11.9552 Tf 151.016 706.129 Td [(errpush)-250(\227)-250(Pushes)-250(an)-250(error)-250(code)-250(onto)-250(the)-250(error)-250(stack)]TJ/F57 9.9626 Tf -49.379 -24.942 Td [(c)-175(a)-175(l)-174(l)-874(p)-98(s)-99(b)]TJ ET q 1 0 0 1 150.031 681.387 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 154.002 681.187 Td [(e)-99(r)-98(r)-99(p)-98(u)-99(s)-99(h)-232(\050)-266(e)-132(r)-132(r)]TJ +/F57 9.9626 Tf 154.002 681.187 Td [(e)-99(r)-98(r)-99(p)-98(u)-99(s)-99(h)-232(\050)-266(e)-132(r)-132(r)]TJ ET q 1 0 0 1 220.033 681.387 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 224.341 681.187 Td [(c)-440(,)-825(r)]TJ +/F57 9.9626 Tf 224.341 681.187 Td [(c)-440(,)-825(r)]TJ ET q 1 0 0 1 248.891 681.387 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 252.379 681.187 Td [(n)-50(a)-50(m)-50(e)-276(,)-929(i)]TJ +/F57 9.9626 Tf 252.379 681.187 Td [(n)-50(a)-50(m)-50(e)-276(,)-929(i)]TJ ET q 1 0 0 1 297.751 681.387 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 302.277 681.187 Td [(e)-154(r)-155(r)-483(,)-920(a)]TJ +/F57 9.9626 Tf 302.277 681.187 Td [(e)-154(r)-155(r)-483(,)-920(a)]TJ ET q 1 0 0 1 341.495 681.387 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 345.93 681.187 Td [(e)-145(r)-145(r)-279(\051)]TJ +/F57 9.9626 Tf 345.93 681.187 Td [(e)-145(r)-145(r)-279(\051)]TJ 0 g 0 G 0 g 0 G 0 g 0 G -/F51 9.9626 Tf -246.035 -27.895 Td [(T)90(ype:)]TJ +/F54 9.9626 Tf -246.035 -27.895 Td [(T)90(ype:)]TJ 0 g 0 G -/F54 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ +/F57 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ 0 g 0 G -/F51 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ +/F54 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -19.925 Td [(err)]TJ @@ -22442,42 +22442,42 @@ q []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 116.214 613.442 Td [(c)]TJ +/F54 9.9626 Tf 116.214 613.442 Td [(c)]TJ 0 g 0 G -/F54 9.9626 Tf 9.405 0 Td [(the)-250(err)18(or)-250(code)]TJ -0.817 -11.956 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)74(.)]TJ +/F57 9.9626 Tf 9.405 0 Td [(the)-250(err)18(or)-250(code)]TJ -0.817 -11.956 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)74(.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.907 -19.925 Td [(r)]TJ +/F54 9.9626 Tf -24.907 -19.925 Td [(r)]TJ ET q 1 0 0 1 104.368 545.895 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 107.357 545.696 Td [(name)]TJ +/F54 9.9626 Tf 107.357 545.696 Td [(name)]TJ 0 g 0 G -/F54 9.9626 Tf 29.888 0 Td [(the)-250(soutine)-250(wher)18(e)-250(the)-250(err)18(or)-250(has)-250(been)-250(caught.)]TJ -12.443 -11.956 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(string.)]TJ +/F57 9.9626 Tf 29.888 0 Td [(the)-250(soutine)-250(wher)18(e)-250(the)-250(err)18(or)-250(has)-250(been)-250(caught.)]TJ -12.443 -11.956 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(string.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.907 -31.881 Td [(i)]TJ +/F54 9.9626 Tf -24.907 -31.881 Td [(i)]TJ ET q 1 0 0 1 103.811 466.194 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 106.799 465.994 Td [(err)]TJ +/F54 9.9626 Tf 106.799 465.994 Td [(err)]TJ 0 g 0 G -/F54 9.9626 Tf 17.714 0 Td [(addional)-250(info)-250(for)-250(err)18(or)-250(code)]TJ 0.289 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(optional)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(array)]TJ +/F57 9.9626 Tf 17.714 0 Td [(addional)-250(info)-250(for)-250(err)18(or)-250(code)]TJ 0.289 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(optional)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(array)]TJ 0 g 0 G -/F51 9.9626 Tf -24.907 -31.881 Td [(a)]TJ +/F54 9.9626 Tf -24.907 -31.881 Td [(a)]TJ ET q 1 0 0 1 105.474 398.448 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 108.463 398.249 Td [(err)]TJ +/F54 9.9626 Tf 108.463 398.249 Td [(err)]TJ 0 g 0 G -/F54 9.9626 Tf 17.714 0 Td [(addional)-250(info)-250(for)-250(err)18(or)-250(code)]TJ -1.375 -11.956 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(optional)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(string.)]TJ +/F57 9.9626 Tf 17.714 0 Td [(addional)-250(info)-250(for)-250(err)18(or)-250(code)]TJ -1.375 -11.956 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(optional)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(string.)]TJ 0 g 0 G 139.477 -271.945 Td [(129)]TJ 0 g 0 G @@ -22493,34 +22493,34 @@ stream 0 g 0 G 0 g 0 G BT -/F51 11.9552 Tf 150.705 706.129 Td [(8.2)-1000(psb)]TJ +/F54 11.9552 Tf 150.705 706.129 Td [(8.2)-1000(psb)]TJ ET q 1 0 0 1 198.238 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F51 11.9552 Tf 201.825 706.129 Td [(error)-306(\227)-306(Prints)-306(the)-306(error)-307(stack)-306(content)-306(and)-306(aborts)-306(exe-)]TJ -24.221 -13.948 Td [(cution)]TJ/F54 9.9626 Tf -25.158 -24.941 Td [(c)-175(a)-175(l)-174(l)-900(p)-126(s)-125(b)]TJ +/F54 11.9552 Tf 201.825 706.129 Td [(error)-306(\227)-306(Prints)-306(the)-306(error)-307(stack)-306(content)-306(and)-306(aborts)-306(exe-)]TJ -24.221 -13.948 Td [(cution)]TJ/F57 9.9626 Tf -25.158 -24.941 Td [(c)-175(a)-175(l)-174(l)-900(p)-126(s)-125(b)]TJ ET q 1 0 0 1 201.901 667.439 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 206.138 667.24 Td [(e)-125(r)-125(r)-126(o)-125(r)-259(\050)-279(i)-146(c)-146(o)-147(n)-146(t)-146(x)-146(t)-280(\051)]TJ +/F57 9.9626 Tf 206.138 667.24 Td [(e)-125(r)-125(r)-126(o)-125(r)-259(\050)-279(i)-146(c)-146(o)-147(n)-146(t)-146(x)-146(t)-280(\051)]TJ 0 g 0 G 0 g 0 G 0 g 0 G -/F51 9.9626 Tf -55.433 -27.896 Td [(T)90(ype:)]TJ +/F54 9.9626 Tf -55.433 -27.896 Td [(T)90(ype:)]TJ 0 g 0 G -/F54 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ +/F57 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ 0 g 0 G -/F51 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ +/F54 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -19.925 Td [(icontxt)]TJ 0 g 0 G -/F54 9.9626 Tf 35.965 0 Td [(the)-250(communication)-250(context.)]TJ -11.058 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.431 0 Td [(global)]TJ/F54 9.9626 Tf -31.431 -11.956 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(optional)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)74(.)]TJ +/F57 9.9626 Tf 35.965 0 Td [(the)-250(communication)-250(context.)]TJ -11.058 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.431 0 Td [(global)]TJ/F57 9.9626 Tf -31.431 -11.956 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(optional)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)74(.)]TJ 0 g 0 G 139.477 -461.235 Td [(130)]TJ 0 g 0 G @@ -22536,48 +22536,48 @@ stream 0 g 0 G 0 g 0 G BT -/F51 11.9552 Tf 99.895 706.129 Td [(8.3)-1000(psb)]TJ +/F54 11.9552 Tf 99.895 706.129 Td [(8.3)-1000(psb)]TJ ET q 1 0 0 1 147.429 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F51 11.9552 Tf 151.016 706.129 Td [(set)]TJ +/F54 11.9552 Tf 151.016 706.129 Td [(set)]TJ ET q 1 0 0 1 166.999 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F51 11.9552 Tf 170.586 706.129 Td [(errverbosity)-190(\227)-190(Sets)-190(the)-190(verbosity)-190(of)-190(error)-190(messages)]TJ/F54 9.9626 Tf -68.949 -24.942 Td [(c)-175(a)-175(l)-174(l)-921(p)-147(s)-146(b)]TJ +/F54 11.9552 Tf 170.586 706.129 Td [(errverbosity)-190(\227)-190(Sets)-190(the)-190(verbosity)-190(of)-190(error)-190(messages)]TJ/F57 9.9626 Tf -68.949 -24.942 Td [(c)-175(a)-175(l)-174(l)-921(p)-147(s)-146(b)]TJ ET q 1 0 0 1 151.927 681.387 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 156.371 681.187 Td [(s)-146(e)-146(t)]TJ +/F57 9.9626 Tf 156.371 681.187 Td [(s)-146(e)-146(t)]TJ ET q 1 0 0 1 173.581 681.387 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 178.026 681.187 Td [(e)-146(r)-146(r)-146(v)-147(e)-146(r)-146(b)-146(o)-146(s)-146(i)-147(t)-146(y)-279(\050)-151(v)-151(\051)]TJ +/F57 9.9626 Tf 178.026 681.187 Td [(e)-146(r)-146(r)-146(v)-147(e)-146(r)-146(b)-146(o)-146(s)-146(i)-147(t)-146(y)-279(\050)-151(v)-151(\051)]TJ 0 g 0 G 0 g 0 G 0 g 0 G -/F51 9.9626 Tf -78.131 -27.895 Td [(T)90(ype:)]TJ +/F54 9.9626 Tf -78.131 -27.895 Td [(T)90(ype:)]TJ 0 g 0 G -/F54 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ +/F57 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ 0 g 0 G -/F51 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ +/F54 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -19.925 Td [(v)]TJ 0 g 0 G -/F54 9.9626 Tf 10.521 0 Td [(the)-250(verbosity)-250(level)]TJ 14.386 -11.956 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(global)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)74(.)]TJ +/F57 9.9626 Tf 10.521 0 Td [(the)-250(verbosity)-250(level)]TJ 14.386 -11.956 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(global)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)74(.)]TJ 0 g 0 G 139.477 -475.183 Td [(131)]TJ 0 g 0 G @@ -22593,50 +22593,50 @@ stream 0 g 0 G 0 g 0 G BT -/F51 11.9552 Tf 150.705 706.129 Td [(8.4)-1000(psb)]TJ +/F54 11.9552 Tf 150.705 706.129 Td [(8.4)-1000(psb)]TJ ET q 1 0 0 1 198.238 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F51 11.9552 Tf 201.825 706.129 Td [(set)]TJ +/F54 11.9552 Tf 201.825 706.129 Td [(set)]TJ ET q 1 0 0 1 217.809 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F51 11.9552 Tf 221.396 706.129 Td [(erraction)-223(\227)-223(Set)-222(the)-223(type)-223(of)-223(action)-223(to)-222(be)-223(taken)-223(upon)]TJ -43.792 -13.948 Td [(error)-250(condition)]TJ/F54 9.9626 Tf -25.158 -24.941 Td [(c)-175(a)-175(l)-174(l)-926(p)-151(s)-151(b)]TJ +/F54 11.9552 Tf 221.396 706.129 Td [(erraction)-223(\227)-223(Set)-222(the)-223(type)-223(of)-223(action)-223(to)-222(be)-223(taken)-223(upon)]TJ -43.792 -13.948 Td [(error)-250(condition)]TJ/F57 9.9626 Tf -25.158 -24.941 Td [(c)-175(a)-175(l)-174(l)-926(p)-151(s)-151(b)]TJ ET q 1 0 0 1 202.923 667.439 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 207.415 667.24 Td [(s)-151(e)-151(t)]TJ +/F57 9.9626 Tf 207.415 667.24 Td [(s)-151(e)-151(t)]TJ ET q 1 0 0 1 224.765 667.439 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 229.256 667.24 Td [(e)-151(r)-151(r)-151(a)-150(c)-151(t)-151(i)-151(o)-151(n)-284(\050)-296(e)-163(r)-162(r)]TJ +/F57 9.9626 Tf 229.256 667.24 Td [(e)-151(r)-151(r)-151(a)-150(c)-151(t)-151(i)-151(o)-151(n)-284(\050)-296(e)-163(r)-162(r)]TJ ET q 1 0 0 1 307.912 667.439 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 312.521 667.24 Td [(a)-163(c)-162(t)-296(\051)]TJ +/F57 9.9626 Tf 312.521 667.24 Td [(a)-163(c)-162(t)-296(\051)]TJ 0 g 0 G 0 g 0 G 0 g 0 G -/F51 9.9626 Tf -161.816 -27.896 Td [(T)90(ype:)]TJ +/F54 9.9626 Tf -161.816 -27.896 Td [(T)90(ype:)]TJ 0 g 0 G -/F54 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ +/F57 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ 0 g 0 G -/F51 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ +/F54 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -19.925 Td [(err)]TJ @@ -22646,9 +22646,9 @@ q []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 167.023 599.494 Td [(act)]TJ +/F54 9.9626 Tf 167.023 599.494 Td [(act)]TJ 0 g 0 G -/F54 9.9626 Tf 17.704 0 Td [(the)-250(type)-250(of)-250(action.)]TJ -9.116 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(global)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(required)]TJ/F54 9.9626 Tf -27.089 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(in)]TJ/F54 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)74(.)-310(Possible)-250(values:)]TJ/F59 9.9626 Tf 179.116 0 Td [(psb_act_ret)]TJ/F54 9.9626 Tf 57.534 0 Td [(,)]TJ/F59 9.9626 Tf 4.982 0 Td [(psb_act_abort)]TJ/F54 9.9626 Tf 67.994 0 Td [(.)]TJ +/F57 9.9626 Tf 17.704 0 Td [(the)-250(type)-250(of)-250(action.)]TJ -9.116 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(global)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.089 0 Td [(required)]TJ/F57 9.9626 Tf -27.089 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(in)]TJ/F57 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)74(.)-310(Possible)-250(values:)]TJ/F62 9.9626 Tf 179.116 0 Td [(psb_act_ret)]TJ/F57 9.9626 Tf 57.534 0 Td [(,)]TJ/F62 9.9626 Tf 4.982 0 Td [(psb_act_abort)]TJ/F57 9.9626 Tf 67.994 0 Td [(.)]TJ 0 g 0 G -170.149 -461.235 Td [(132)]TJ 0 g 0 G @@ -22664,7 +22664,7 @@ stream 0 g 0 G 0 g 0 G BT -/F51 14.3462 Tf 99.895 705.784 Td [(9)-1000(Utilities)]TJ/F54 9.9626 Tf 0 -22.702 Td [(W)92(e)-323(have)-322(some)-323(utilities)-322(available)-323(for)-322(input)-323(and)-323(output)-322(of)-323(sparse)-322(matrices;)-359(the)]TJ 0 -11.955 Td [(interfaces)-250(to)-250(these)-250(r)18(outines)-250(ar)18(e)-250(available)-250(in)-250(the)-250(module)]TJ/F59 9.9626 Tf 242.01 0 Td [(psb_util_mod)]TJ/F54 9.9626 Tf 62.764 0 Td [(.)]TJ +/F54 14.3462 Tf 99.895 705.784 Td [(9)-1000(Utilities)]TJ/F57 9.9626 Tf 0 -22.702 Td [(W)92(e)-323(have)-322(some)-323(utilities)-322(available)-323(for)-322(input)-323(and)-323(output)-322(of)-323(sparse)-322(matrices;)-359(the)]TJ 0 -11.955 Td [(interfaces)-250(to)-250(these)-250(r)18(outines)-250(ar)18(e)-250(available)-250(in)-250(the)-250(module)]TJ/F62 9.9626 Tf 242.01 0 Td [(psb_util_mod)]TJ/F57 9.9626 Tf 62.764 0 Td [(.)]TJ 0 g 0 G -140.39 -580.689 Td [(133)]TJ 0 g 0 G @@ -22680,75 +22680,75 @@ stream 0 g 0 G 0 g 0 G BT -/F51 11.9552 Tf 150.705 706.129 Td [(9.1)-1206(hb)]TJ +/F54 11.9552 Tf 150.705 706.129 Td [(9.1)-1206(hb)]TJ ET q 1 0 0 1 195.398 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F51 11.9552 Tf 198.985 706.129 Td [(read)-206(\227)-207(Read)-206(a)-207(sparse)-206(matrix)-206(from)-207(a)-206(\002le)-207(in)-206(the)-207(Harwell\226)]TJ -21.381 -13.948 Td [(Boeing)-250(format)]TJ/F54 9.9626 Tf -25.158 -24.941 Td [(c)-175(a)-175(l)-174(l)-865(h)-90(b)]TJ +/F54 11.9552 Tf 198.985 706.129 Td [(read)-206(\227)-207(Read)-206(a)-207(sparse)-206(matrix)-206(from)-207(a)-206(\002le)-207(in)-206(the)-207(Harwell\226)]TJ -21.381 -13.948 Td [(Boeing)-250(format)]TJ/F57 9.9626 Tf -25.158 -24.941 Td [(c)-175(a)-175(l)-174(l)-865(h)-90(b)]TJ ET q 1 0 0 1 195.188 667.439 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 199.074 667.24 Td [(r)-90(e)-90(a)-90(d)-224(\050)-166(a)-242(,)-927(i)-151(r)-152(e)-151(t)-478(,)-905(i)-129(u)-130(n)-129(i)-130(t)-434(,)-871(f)-97(i)-96(l)-96(e)-96(n)-96(a)-97(m)-96(e)-367(,)-791(b)-206(,)-919(m)-143(t)-144(i)-143(t)-143(l)-144(e)-277(\051)]TJ +/F57 9.9626 Tf 199.074 667.24 Td [(r)-90(e)-90(a)-90(d)-224(\050)-166(a)-242(,)-927(i)-151(r)-152(e)-151(t)-478(,)-905(i)-129(u)-130(n)-129(i)-130(t)-434(,)-871(f)-97(i)-96(l)-96(e)-96(n)-96(a)-97(m)-96(e)-367(,)-791(b)-206(,)-919(m)-143(t)-144(i)-143(t)-143(l)-144(e)-277(\051)]TJ 0 g 0 G 0 g 0 G 0 g 0 G -/F51 9.9626 Tf -48.369 -27.896 Td [(T)90(ype:)]TJ +/F54 9.9626 Tf -48.369 -27.896 Td [(T)90(ype:)]TJ 0 g 0 G -/F54 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ +/F57 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ 0 g 0 G -/F51 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ +/F54 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -19.925 Td [(\002lename)]TJ 0 g 0 G -/F54 9.9626 Tf 44.274 0 Td [(The)-250(name)-250(of)-250(the)-250(\002le)-250(to)-250(be)-250(r)18(ead.)]TJ -19.367 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 23.999 0 Td [(optional)]TJ/F54 9.9626 Tf 38.187 0 Td [(.)]TJ -62.186 -11.956 Td [(Speci\002ed)-359(as:)-529(a)-359(character)-360(variable)-359(containing)-359(a)-360(valid)-359(\002le)-359(name,)-387(or)]TJ/F59 9.9626 Tf 298.533 0 Td [(-)]TJ/F54 9.9626 Tf 5.231 0 Td [(,)-387(in)]TJ -303.764 -11.955 Td [(which)-254(case)-253(the)-254(default)-254(input)-253(unit)-254(5)-254(\050i.e.)-321(standar)18(d)-253(input)-254(in)-254(Unix)-253(jar)18(gon\051)-254(is)]TJ 0 -11.955 Td [(used.)-310(Default:)]TJ/F59 9.9626 Tf 65.184 0 Td [(-)]TJ/F54 9.9626 Tf 5.231 0 Td [(.)]TJ +/F57 9.9626 Tf 44.274 0 Td [(The)-250(name)-250(of)-250(the)-250(\002le)-250(to)-250(be)-250(r)18(ead.)]TJ -19.367 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 23.999 0 Td [(optional)]TJ/F57 9.9626 Tf 38.187 0 Td [(.)]TJ -62.186 -11.956 Td [(Speci\002ed)-359(as:)-529(a)-359(character)-360(variable)-359(containing)-359(a)-360(valid)-359(\002le)-359(name,)-387(or)]TJ/F62 9.9626 Tf 298.533 0 Td [(-)]TJ/F57 9.9626 Tf 5.231 0 Td [(,)-387(in)]TJ -303.764 -11.955 Td [(which)-254(case)-253(the)-254(default)-254(input)-253(unit)-254(5)-254(\050i.e.)-321(standar)18(d)-253(input)-254(in)-254(Unix)-253(jar)18(gon\051)-254(is)]TJ 0 -11.955 Td [(used.)-310(Default:)]TJ/F62 9.9626 Tf 65.184 0 Td [(-)]TJ/F57 9.9626 Tf 5.231 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -95.322 -19.925 Td [(iunit)]TJ +/F54 9.9626 Tf -95.322 -19.925 Td [(iunit)]TJ 0 g 0 G -/F54 9.9626 Tf 27.108 0 Td [(The)-250(Fortran)-250(\002le)-250(unit)-250(number)74(.)]TJ -2.201 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 23.999 0 Td [(optional)]TJ/F54 9.9626 Tf 38.187 0 Td [(.)]TJ -62.186 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(value.)-310(Only)-250(meaningful)-250(if)-250(\002lename)-250(is)-250(not)]TJ/F59 9.9626 Tf 287.757 0 Td [(-)]TJ/F54 9.9626 Tf 5.23 0 Td [(.)]TJ +/F57 9.9626 Tf 27.108 0 Td [(The)-250(Fortran)-250(\002le)-250(unit)-250(number)74(.)]TJ -2.201 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 23.999 0 Td [(optional)]TJ/F57 9.9626 Tf 38.187 0 Td [(.)]TJ -62.186 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(value.)-310(Only)-250(meaningful)-250(if)-250(\002lename)-250(is)-250(not)]TJ/F62 9.9626 Tf 287.757 0 Td [(-)]TJ/F57 9.9626 Tf 5.23 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -317.894 -21.918 Td [(On)-250(Return)]TJ +/F54 9.9626 Tf -317.894 -21.918 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -19.926 Td [(a)]TJ 0 g 0 G -/F54 9.9626 Tf 9.963 0 Td [(the)-250(sparse)-250(matrix)-250(r)18(ead)-250(fr)18(om)-250(\002le.)]TJ 14.944 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 23.999 0 Td [(required)]TJ/F54 9.9626 Tf 39.293 0 Td [(.)]TJ -63.292 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ +/F57 9.9626 Tf 9.963 0 Td [(the)-250(sparse)-250(matrix)-250(r)18(ead)-250(fr)18(om)-250(\002le.)]TJ 14.944 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 23.999 0 Td [(required)]TJ/F57 9.9626 Tf 39.293 0 Td [(.)]TJ -63.292 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 168.137 0 Td [(psb)]TJ +/F62 9.9626 Tf 168.137 0 Td [(psb)]TJ ET q 1 0 0 1 360.068 442.283 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 363.206 442.084 Td [(Tspmat)]TJ +/F62 9.9626 Tf 363.206 442.084 Td [(Tspmat)]TJ ET q 1 0 0 1 395.216 442.283 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 398.354 442.084 Td [(type)]TJ +/F62 9.9626 Tf 398.354 442.084 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf 20.921 0 Td [(.)]TJ +/F57 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -268.57 -19.925 Td [(b)]TJ +/F54 9.9626 Tf -268.57 -19.925 Td [(b)]TJ 0 g 0 G -/F54 9.9626 Tf 11.068 0 Td [(Rigth)-250(hand)-250(side\050s\051.)]TJ 13.838 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(Optional)]TJ/F54 9.9626 Tf -27.089 -11.955 Td [(An)-235(array)-234(of)-235(type)-234(r)18(eal)-235(or)-234(complex,)-238(rank)-234(2)-235(and)-234(having)-235(the)-234(ALLOCA)74(T)74(ABLE)]TJ 0 -11.956 Td [(attribute;)-361(will)-324(be)-324(allocated)-323(and)-324(\002lled)-324(in)-324(if)-324(the)-324(input)-324(\002le)-323(contains)-324(a)-324(right)]TJ 0 -11.955 Td [(hand)-250(side,)-250(otherwise)-250(will)-250(be)-250(left)-250(in)-250(the)-250(UNALLOCA)74(TED)-250(state.)]TJ +/F57 9.9626 Tf 11.068 0 Td [(Rigth)-250(hand)-250(side\050s\051.)]TJ 13.838 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.089 0 Td [(Optional)]TJ/F57 9.9626 Tf -27.089 -11.955 Td [(An)-235(array)-234(of)-235(type)-234(r)18(eal)-235(or)-234(complex,)-238(rank)-234(2)-235(and)-234(having)-235(the)-234(ALLOCA)74(T)74(ABLE)]TJ 0 -11.956 Td [(attribute;)-361(will)-324(be)-324(allocated)-323(and)-324(\002lled)-324(in)-324(if)-324(the)-324(input)-324(\002le)-323(contains)-324(a)-324(right)]TJ 0 -11.955 Td [(hand)-250(side,)-250(otherwise)-250(will)-250(be)-250(left)-250(in)-250(the)-250(UNALLOCA)74(TED)-250(state.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.906 -19.925 Td [(mtitle)]TJ +/F54 9.9626 Tf -24.906 -19.925 Td [(mtitle)]TJ 0 g 0 G -/F54 9.9626 Tf 32.089 0 Td [(Matrix)-250(title.)]TJ -7.183 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(Optional)]TJ/F54 9.9626 Tf -27.089 -11.955 Td [(A)-337(charachter)-338(variable)-337(of)-338(length)-337(72)-337(holding)-338(a)-337(copy)-338(of)-337(the)-337(matrix)-338(title)-337(as)]TJ 0 -11.956 Td [(speci\002ed)-250(by)-250(the)-250(Harwell-Boeing)-250(format)-250(and)-250(contained)-250(in)-250(the)-250(input)-250(\002le.)]TJ +/F57 9.9626 Tf 32.089 0 Td [(Matrix)-250(title.)]TJ -7.183 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.089 0 Td [(Optional)]TJ/F57 9.9626 Tf -27.089 -11.955 Td [(A)-337(charachter)-338(variable)-337(of)-338(length)-337(72)-337(holding)-338(a)-337(copy)-338(of)-337(the)-337(matrix)-338(title)-337(as)]TJ 0 -11.956 Td [(speci\002ed)-250(by)-250(the)-250(Harwell-Boeing)-250(format)-250(and)-250(contained)-250(in)-250(the)-250(input)-250(\002le.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.906 -19.925 Td [(iret)]TJ +/F54 9.9626 Tf -24.906 -19.925 Td [(iret)]TJ 0 g 0 G -/F54 9.9626 Tf 20.473 0 Td [(Err)18(or)-250(code.)]TJ 4.433 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(required)]TJ/F54 9.9626 Tf -27.089 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ +/F57 9.9626 Tf 20.473 0 Td [(Err)18(or)-250(code.)]TJ 4.433 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.089 0 Td [(required)]TJ/F57 9.9626 Tf -27.089 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ 0 g 0 G 139.477 -184.274 Td [(134)]TJ 0 g 0 G @@ -22764,79 +22764,79 @@ stream 0 g 0 G 0 g 0 G BT -/F51 11.9552 Tf 99.895 706.129 Td [(9.2)-1000(hb)]TJ +/F54 11.9552 Tf 99.895 706.129 Td [(9.2)-1000(hb)]TJ ET q 1 0 0 1 142.121 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F51 11.9552 Tf 145.708 706.129 Td [(write)-298(\227)-297(W)74(rite)-298(a)-298(sparse)-298(matrix)-297(to)-298(a)-298(\002le)-297(in)-298(the)-298(Harwell\226)]TJ -18.913 -13.948 Td [(Boeing)-250(format)]TJ/F54 9.9626 Tf -25.158 -24.941 Td [(c)-175(a)-175(l)-174(l)-884(h)-109(b)]TJ +/F54 11.9552 Tf 145.708 706.129 Td [(write)-298(\227)-297(W)74(rite)-298(a)-298(sparse)-298(matrix)-297(to)-298(a)-298(\002le)-297(in)-298(the)-298(Harwell\226)]TJ -18.913 -13.948 Td [(Boeing)-250(format)]TJ/F57 9.9626 Tf -25.158 -24.941 Td [(c)-175(a)-175(l)-174(l)-884(h)-109(b)]TJ ET q 1 0 0 1 144.944 667.439 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 149.017 667.24 Td [(w)-109(r)-109(i)-109(t)-109(e)-242(\050)-167(a)-242(,)-926(i)-152(r)-151(e)-152(t)-478(,)-904(i)-130(u)-129(n)-130(i)-129(t)-435(,)-871(f)-96(i)-96(l)-96(e)-97(n)-96(a)-96(m)-96(e)-368(,)-817(k)-41(e)-42(y)-259(,)-855(r)-79(h)-80(s)-335(,)-918(m)-144(t)-143(i)-144(t)-143(l)-143(e)-277(\051)]TJ +/F57 9.9626 Tf 149.017 667.24 Td [(w)-109(r)-109(i)-109(t)-109(e)-242(\050)-167(a)-242(,)-926(i)-152(r)-151(e)-152(t)-478(,)-904(i)-130(u)-129(n)-130(i)-129(t)-435(,)-871(f)-96(i)-96(l)-96(e)-97(n)-96(a)-96(m)-96(e)-368(,)-817(k)-41(e)-42(y)-259(,)-855(r)-79(h)-80(s)-335(,)-918(m)-144(t)-143(i)-144(t)-143(l)-143(e)-277(\051)]TJ 0 g 0 G 0 g 0 G 0 g 0 G -/F51 9.9626 Tf -49.122 -27.896 Td [(T)90(ype:)]TJ +/F54 9.9626 Tf -49.122 -27.896 Td [(T)90(ype:)]TJ 0 g 0 G -/F54 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ +/F57 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ 0 g 0 G -/F51 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ +/F54 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -19.925 Td [(a)]TJ 0 g 0 G -/F54 9.9626 Tf 9.963 0 Td [(the)-250(sparse)-250(matrix)-250(to)-250(be)-250(written.)]TJ 14.944 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 24 0 Td [(required)]TJ/F54 9.9626 Tf 39.292 0 Td [(.)]TJ -63.292 -11.956 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ +/F57 9.9626 Tf 9.963 0 Td [(the)-250(sparse)-250(matrix)-250(to)-250(be)-250(written.)]TJ 14.944 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 24 0 Td [(required)]TJ/F57 9.9626 Tf 39.292 0 Td [(.)]TJ -63.292 -11.956 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 168.138 0 Td [(psb)]TJ +/F62 9.9626 Tf 168.138 0 Td [(psb)]TJ ET q 1 0 0 1 309.258 575.783 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 312.397 575.584 Td [(Tspmat)]TJ +/F62 9.9626 Tf 312.397 575.584 Td [(Tspmat)]TJ ET q 1 0 0 1 344.406 575.783 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 347.544 575.584 Td [(type)]TJ +/F62 9.9626 Tf 347.544 575.584 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf 20.922 0 Td [(.)]TJ +/F57 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -268.571 -19.926 Td [(b)]TJ +/F54 9.9626 Tf -268.571 -19.926 Td [(b)]TJ 0 g 0 G -/F54 9.9626 Tf 11.069 0 Td [(Rigth)-250(hand)-250(side.)]TJ 13.838 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(Optional)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(An)-235(array)-234(of)-235(type)-234(r)18(eal)-235(or)-234(complex,)-238(rank)-234(1)-235(and)-234(having)-235(the)-234(ALLOCA)74(T)74(ABLE)]TJ 0 -11.955 Td [(attribute;)-361(will)-324(be)-324(al)1(located)-324(and)-324(\002lled)-324(in)-324(if)-324(the)-324(input)-324(\002le)-323(contains)-324(a)-324(right)]TJ 0 -11.955 Td [(hand)-250(side.)]TJ +/F57 9.9626 Tf 11.069 0 Td [(Rigth)-250(hand)-250(side.)]TJ 13.838 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(Optional)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(An)-235(array)-234(of)-235(type)-234(r)18(eal)-235(or)-234(complex,)-238(rank)-234(1)-235(and)-234(having)-235(the)-234(ALLOCA)74(T)74(ABLE)]TJ 0 -11.955 Td [(attribute;)-361(will)-324(be)-324(al)1(located)-324(and)-324(\002lled)-324(in)-324(if)-324(the)-324(input)-324(\002le)-323(contains)-324(a)-324(right)]TJ 0 -11.955 Td [(hand)-250(side.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.907 -19.926 Td [(\002lename)]TJ +/F54 9.9626 Tf -24.907 -19.926 Td [(\002lename)]TJ 0 g 0 G -/F54 9.9626 Tf 44.274 0 Td [(The)-250(name)-250(of)-250(the)-250(\002le)-250(to)-250(be)-250(written)-250(to.)]TJ -19.367 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 24 0 Td [(optional)]TJ/F54 9.9626 Tf 38.186 0 Td [(.)]TJ -62.186 -11.955 Td [(Speci\002ed)-359(as:)-529(a)-359(character)-360(variable)-359(containing)-359(a)-360(valid)-359(\002le)-359(name,)-387(or)]TJ/F59 9.9626 Tf 298.534 0 Td [(-)]TJ/F54 9.9626 Tf 5.23 0 Td [(,)-387(in)]TJ -303.764 -11.955 Td [(which)-234(case)-234(the)-233(default)-234(output)-234(unit)-234(6)-233(\050i.e.)-305(standar)18(d)-234(output)-234(in)-233(Unix)-234(jar)18(gon\051)]TJ 0 -11.955 Td [(is)-250(used.)-310(Default:)]TJ/F59 9.9626 Tf 74.799 0 Td [(-)]TJ/F54 9.9626 Tf 5.23 0 Td [(.)]TJ +/F57 9.9626 Tf 44.274 0 Td [(The)-250(name)-250(of)-250(the)-250(\002le)-250(to)-250(be)-250(written)-250(to.)]TJ -19.367 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 24 0 Td [(optional)]TJ/F57 9.9626 Tf 38.186 0 Td [(.)]TJ -62.186 -11.955 Td [(Speci\002ed)-359(as:)-529(a)-359(character)-360(variable)-359(containing)-359(a)-360(valid)-359(\002le)-359(name,)-387(or)]TJ/F62 9.9626 Tf 298.534 0 Td [(-)]TJ/F57 9.9626 Tf 5.23 0 Td [(,)-387(in)]TJ -303.764 -11.955 Td [(which)-234(case)-234(the)-233(default)-234(output)-234(unit)-234(6)-233(\050i.e.)-305(standar)18(d)-234(output)-234(in)-233(Unix)-234(jar)18(gon\051)]TJ 0 -11.955 Td [(is)-250(used.)-310(Default:)]TJ/F62 9.9626 Tf 74.799 0 Td [(-)]TJ/F57 9.9626 Tf 5.23 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -104.936 -19.926 Td [(iunit)]TJ +/F54 9.9626 Tf -104.936 -19.926 Td [(iunit)]TJ 0 g 0 G -/F54 9.9626 Tf 27.109 0 Td [(The)-250(Fortran)-250(\002le)-250(unit)-250(number)74(.)]TJ -2.202 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 24 0 Td [(optional)]TJ/F54 9.9626 Tf 38.186 0 Td [(.)]TJ -62.186 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(value.)-310(Only)-250(meaningful)-250(if)-250(\002lename)-250(is)-250(not)]TJ/F59 9.9626 Tf 287.757 0 Td [(-)]TJ/F54 9.9626 Tf 5.231 0 Td [(.)]TJ +/F57 9.9626 Tf 27.109 0 Td [(The)-250(Fortran)-250(\002le)-250(unit)-250(number)74(.)]TJ -2.202 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 24 0 Td [(optional)]TJ/F57 9.9626 Tf 38.186 0 Td [(.)]TJ -62.186 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(value.)-310(Only)-250(meaningful)-250(if)-250(\002lename)-250(is)-250(not)]TJ/F62 9.9626 Tf 287.757 0 Td [(-)]TJ/F57 9.9626 Tf 5.231 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -317.895 -19.925 Td [(key)]TJ +/F54 9.9626 Tf -317.895 -19.925 Td [(key)]TJ 0 g 0 G -/F54 9.9626 Tf 21.589 0 Td [(Matrix)-250(key)111(.)]TJ 3.318 -11.956 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(Optional)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(A)-291(charachter)-291(variable)-291(of)-291(length)-291(8)-291(holding)-290(the)-291(matrix)-291(key)-291(as)-291(speci\002ed)-291(by)]TJ 0 -11.955 Td [(the)-250(Harwell-Boeing)-250(format)-250(and)-250(to)-250(be)-250(written)-250(to)-250(\002le.)]TJ +/F57 9.9626 Tf 21.589 0 Td [(Matrix)-250(key)111(.)]TJ 3.318 -11.956 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(Optional)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(A)-291(charachter)-291(variable)-291(of)-291(length)-291(8)-291(holding)-290(the)-291(matrix)-291(key)-291(as)-291(speci\002ed)-291(by)]TJ 0 -11.955 Td [(the)-250(Harwell-Boeing)-250(format)-250(and)-250(to)-250(be)-250(written)-250(to)-250(\002le.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.907 -19.925 Td [(mtitle)]TJ +/F54 9.9626 Tf -24.907 -19.925 Td [(mtitle)]TJ 0 g 0 G -/F54 9.9626 Tf 32.09 0 Td [(Matrix)-250(title.)]TJ -7.183 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(Optional)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(A)-239(charachter)-239(variable)-239(of)-239(length)-239(72)-240(holding)-239(the)-239(matrix)-239(title)-239(as)-239(speci\002ed)-239(by)]TJ 0 -11.956 Td [(the)-250(Harwell-Boeing)-250(format)-250(and)-250(to)-250(be)-250(written)-250(to)-250(\002le.)]TJ +/F57 9.9626 Tf 32.09 0 Td [(Matrix)-250(title.)]TJ -7.183 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(Optional)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(A)-239(charachter)-239(variable)-239(of)-239(length)-239(72)-240(holding)-239(the)-239(matrix)-239(title)-239(as)-239(speci\002ed)-239(by)]TJ 0 -11.956 Td [(the)-250(Harwell-Boeing)-250(format)-250(and)-250(to)-250(be)-250(written)-250(to)-250(\002le.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.907 -21.917 Td [(On)-250(Return)]TJ +/F54 9.9626 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[-525(mm_mat_write\050aglobal,mtitle,info,filename\051)]TJ +0.00 0.44 0.13 rg 0.00 0.44 0.13 RG + -37.658 -10.959 Td [(end)-525(if)]TJ +0 g 0 G +0.00 0.44 0.13 rg 0.00 0.44 0.13 RG + 0 -10.959 Td [(call)]TJ +0 g 0 G + [-525(psb_spfree\050aglobal,)-525(desc_a,)-525(info\051)]TJ +0.95 0.95 0.95 rg 0.95 0.95 0.95 RG +0 g 0 G +/F57 9.9626 Tf -2.989 -23.747 Td [(T)92(o)-250(simplify)-250(this)-250(pr)18(ocedur)18(e)-250(in)]TJ/F62 9.9626 Tf 129.513 0 Td [(C)]TJ/F57 9.9626 Tf 5.23 0 Td [(,)-250(ther)18(e)-250(is)-250(a)-250(utility)-250(function)]TJ +0.95 0.95 0.95 rg 0.95 0.95 0.95 RG +0.95 0.95 0.95 rg 0.95 0.95 0.95 RG +ET +q +1 0 0 1 150.705 137.797 cm +0 0 343.711 16.936 re f +Q +0.95 0.95 0.95 rg 0.95 0.95 0.95 RG +0 g 0 G +BT +/F97 8.9664 Tf 153.694 144.073 Td [(psb_i_t)-525(psb_c_)]TJ +0.40 0.40 0.40 rg 0.40 0.40 0.40 RG + [(<)]TJ +0 g 0 G + [(s,d,c,z)]TJ +0.40 0.40 0.40 rg 0.40 0.40 0.40 RG + [(>)]TJ 0 g 0 G -/F54 9.9626 Tf 20.473 0 Td [(Err)18(or)-250(code.)]TJ 4.433 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(required)]TJ/F54 9.9626 Tf -27.089 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ + [(global_mat_write\050ah,cdh\051;)]TJ +0.95 0.95 0.95 rg 0.95 0.95 0.95 RG +0 g 0 G +/F57 9.9626 Tf -2.989 -23.747 Td [(that)-250(pr)18(oduces)-250(exactly)-250(this)-250(r)18(esult.)]TJ 0 g 0 G - 139.477 -252.02 Td [(138)]TJ + 164.383 -29.888 Td [(138)]TJ 0 g 0 G ET @@ -23663,92 +23735,92 @@ stream 0 g 0 G 0 g 0 G BT -/F51 11.9552 Tf 99.895 706.129 Td [(9.6)-1000(mm)]TJ +/F54 11.9552 Tf 99.895 706.129 Td [(9.6)-1000(mm)]TJ ET q 1 0 0 1 148.768 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F51 11.9552 Tf 152.354 706.129 Td [(array)]TJ +/F54 11.9552 Tf 152.354 706.129 Td [(array)]TJ ET q 1 0 0 1 180.975 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F51 11.9552 Tf 184.561 706.129 Td [(write)-374(\227)-375(W)74(rite)-374(a)-375(dense)-374(array)-374(from)-375(a)-374(\002le)-375(in)-374(the)]TJ -57.766 -13.948 Td [(MatrixMarket)-250(format)]TJ/F54 9.9626 Tf -25.158 -24.941 Td [(c)-175(a)-175(l)-174(l)-858(m)-83(m)]TJ +/F54 11.9552 Tf 184.561 706.129 Td [(write)-374(\227)-375(W)74(rite)-374(a)-375(dense)-374(array)-374(from)-375(a)-374(\002le)-375(in)-374(the)]TJ -57.766 -13.948 Td [(MatrixMarket)-250(format)]TJ/F57 9.9626 Tf -25.158 -24.941 Td [(c)-175(a)-175(l)-174(l)-858(m)-83(m)]TJ ET q 1 0 0 1 150.452 667.439 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 154.267 667.24 Td [(a)-83(r)-83(r)-83(a)-82(y)]TJ +/F57 9.9626 Tf 154.267 667.24 Td [(a)-83(r)-83(r)-83(a)-82(y)]TJ ET q 1 0 0 1 182.365 667.439 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 186.18 667.24 Td [(w)-83(r)-83(i)-83(t)-82(e)-217(\050)-149(b)-206(,)-941(v)-165(t)-165(i)-165(t)-166(l)-165(e)-505(,)-927(i)-151(r)-152(e)-151(t)-478(,)-905(i)-130(u)-129(n)-130(i)-129(t)-435(,)-881(f)-107(i)-107(l)-107(e)-107(n)-107(a)-107(m)-107(e)-240(\051)]TJ +/F57 9.9626 Tf 186.18 667.24 Td [(w)-83(r)-83(i)-83(t)-82(e)-217(\050)-149(b)-206(,)-941(v)-165(t)-165(i)-165(t)-166(l)-165(e)-505(,)-927(i)-151(r)-152(e)-151(t)-478(,)-905(i)-130(u)-129(n)-130(i)-129(t)-435(,)-881(f)-107(i)-107(l)-107(e)-107(n)-107(a)-107(m)-107(e)-240(\051)]TJ 0 g 0 G 0 g 0 G 0 g 0 G -/F51 9.9626 Tf -86.285 -27.896 Td [(T)90(ype:)]TJ +/F54 9.9626 Tf -86.285 -27.896 Td [(T)90(ype:)]TJ 0 g 0 G -/F54 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ +/F57 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ 0 g 0 G -/F51 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ +/F54 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -19.925 Td [(b)]TJ 0 g 0 G -/F54 9.9626 Tf 11.069 0 Td [(Rigth)-250(hand)-250(side\050s\051.)]TJ 13.838 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.956 Td [(An)-190(array)-190(of)-190(type)-190(r)18(eal)-190(or)-190(complex,)-202(rank)-190(1)-190(or)-190(2,)-202(or)-190(an)-190(object)-190(of)-190(type)]TJ +/F57 9.9626 Tf 11.069 0 Td [(Rigth)-250(hand)-250(side\050s\051.)]TJ 13.838 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.956 Td [(An)-190(array)-190(of)-190(type)-190(r)18(eal)-190(or)-190(complex,)-202(rank)-190(1)-190(or)-190(2,)-202(or)-190(an)-190(object)-190(of)-190(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 277.746 0 Td [(psb)]TJ +/F62 9.9626 Tf 277.746 0 Td [(psb)]TJ ET q 1 0 0 1 418.866 575.783 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 422.005 575.584 Td [(T)]TJ +/F62 9.9626 Tf 422.005 575.584 Td [(T)]TJ ET q 1 0 0 1 427.863 575.783 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 431.001 575.584 Td [(vect)]TJ +/F62 9.9626 Tf 431.001 575.584 Td [(vect)]TJ ET q 1 0 0 1 452.55 575.783 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 455.688 575.584 Td [(type)]TJ +/F62 9.9626 Tf 455.688 575.584 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf 20.921 0 Td [(,)]TJ -351.807 -11.956 Td [(of)-250(type)-250(r)18(eal)-250(or)-250(complex;)-250(its)-250(contents)-250(will)-250(be)-250(written)-250(to)-250(disk.)]TJ +/F57 9.9626 Tf 20.921 0 Td [(,)]TJ -351.807 -11.956 Td [(of)-250(type)-250(r)18(eal)-250(or)-250(complex;)-250(its)-250(contents)-250(will)-250(be)-250(written)-250(to)-250(disk.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.907 -31.88 Td [(\002lename)]TJ +/F54 9.9626 Tf -24.907 -31.88 Td [(\002lename)]TJ 0 g 0 G -/F54 9.9626 Tf 44.274 0 Td [(The)-250(name)-250(of)-250(the)-250(\002le)-250(to)-250(be)-250(written.)]TJ +/F57 9.9626 Tf 44.274 0 Td [(The)-250(name)-250(of)-250(the)-250(\002le)-250(to)-250(be)-250(written.)]TJ 0 g 0 G -/F51 9.9626 Tf -44.274 -31.881 Td [(vtitle)]TJ +/F54 9.9626 Tf -44.274 -31.881 Td [(vtitle)]TJ 0 g 0 G -/F54 9.9626 Tf 28.772 0 Td [(Matrix)-250(title.)]TJ -3.865 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(A)-244(charachter)-243(variable)-244(holding)-244(a)-243(descriptive)-244(title)-244(for)-243(the)-244(vector)-244(to)-243(be)-244(writ-)]TJ 0 -11.955 Td [(ten)-250(to)-250(\002le.)-310(T)90(ype:)]TJ/F51 9.9626 Tf 70.764 0 Td [(optional)]TJ/F54 9.9626 Tf 38.186 0 Td [(.)]TJ -108.95 -11.955 Td [(Speci\002ed)-359(as:)-529(a)-359(character)-360(variable)-359(containing)-359(a)-360(valid)-359(\002le)-359(name,)-387(or)]TJ/F59 9.9626 Tf 298.534 0 Td [(-)]TJ/F54 9.9626 Tf 5.23 0 Td [(,)-387(in)]TJ -303.764 -11.955 Td [(which)-254(case)-253(the)-254(default)-254(input)-253(unit)-254(5)-254(\050i.e.)-321(standar)18(d)-253(input)-254(in)-254(Unix)-253(jar)18(gon\051)-254(is)]TJ 0 -11.956 Td [(used.)-310(Default:)]TJ/F59 9.9626 Tf 65.185 0 Td [(-)]TJ/F54 9.9626 Tf 5.23 0 Td [(.)]TJ +/F57 9.9626 Tf 28.772 0 Td [(Matrix)-250(title.)]TJ -3.865 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(A)-244(charachter)-243(variable)-244(holding)-244(a)-243(descriptive)-244(title)-244(for)-243(the)-244(vector)-244(to)-243(be)-244(writ-)]TJ 0 -11.955 Td [(ten)-250(to)-250(\002le.)-310(T)90(ype:)]TJ/F54 9.9626 Tf 70.764 0 Td [(optional)]TJ/F57 9.9626 Tf 38.186 0 Td [(.)]TJ -108.95 -11.955 Td [(Speci\002ed)-359(as:)-529(a)-359(character)-360(variable)-359(containing)-359(a)-360(valid)-359(\002le)-359(name,)-387(or)]TJ/F62 9.9626 Tf 298.534 0 Td [(-)]TJ/F57 9.9626 Tf 5.23 0 Td [(,)-387(in)]TJ -303.764 -11.955 Td [(which)-254(case)-253(the)-254(default)-254(input)-253(unit)-254(5)-254(\050i.e.)-321(standar)18(d)-253(input)-254(in)-254(Unix)-253(jar)18(gon\051)-254(is)]TJ 0 -11.956 Td [(used.)-310(Default:)]TJ/F62 9.9626 Tf 65.185 0 Td [(-)]TJ/F57 9.9626 Tf 5.23 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -95.322 -19.925 Td [(iunit)]TJ +/F54 9.9626 Tf -95.322 -19.925 Td [(iunit)]TJ 0 g 0 G -/F54 9.9626 Tf 27.109 0 Td [(The)-250(Fortran)-250(\002le)-250(unit)-250(number)74(.)]TJ -2.202 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 24 0 Td [(optional)]TJ/F54 9.9626 Tf 38.186 0 Td [(.)]TJ -62.186 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(value.)-310(Only)-250(meaningful)-250(if)-250(\002lename)-250(is)-250(not)]TJ/F59 9.9626 Tf 287.757 0 Td [(-)]TJ/F54 9.9626 Tf 5.231 0 Td [(.)]TJ +/F57 9.9626 Tf 27.109 0 Td [(The)-250(Fortran)-250(\002le)-250(unit)-250(number)74(.)]TJ -2.202 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 24 0 Td [(optional)]TJ/F57 9.9626 Tf 38.186 0 Td [(.)]TJ -62.186 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(value.)-310(Only)-250(meaningful)-250(if)-250(\002lename)-250(is)-250(not)]TJ/F62 9.9626 Tf 287.757 0 Td [(-)]TJ/F57 9.9626 Tf 5.231 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -317.895 -21.918 Td [(On)-250(Return)]TJ +/F54 9.9626 Tf -317.895 -21.918 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -19.925 Td [(iret)]TJ 0 g 0 G -/F54 9.9626 Tf 20.473 0 Td [(Err)18(or)-250(code.)]TJ 4.434 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.956 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ +/F57 9.9626 Tf 20.473 0 Td [(Err)18(or)-250(code.)]TJ 4.434 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.956 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ 0 g 0 G 139.477 -228.109 Td [(139)]TJ 0 g 0 G @@ -23764,7 +23836,7 @@ stream 0 g 0 G 0 g 0 G BT -/F51 14.3462 Tf 150.705 705.784 Td [(10)-1000(Preconditioner)-250(routines)]TJ/F54 9.9626 Tf 0 -22.702 Td [(The)-228(base)-227(PSBLAS)-228(library)-227(contains)-228(the)-227(implementation)-228(of)-227(two)-228(simple)-227(pr)18(econdi-)]TJ 0 -11.955 Td [(tioning)-250(techniques:)]TJ +/F54 14.3462 Tf 150.705 705.784 Td [(10)-1000(Preconditioner)-250(routines)]TJ/F57 9.9626 Tf 0 -22.702 Td [(The)-228(base)-227(PSBLAS)-228(library)-227(contains)-228(the)-227(implementation)-228(of)-227(two)-228(simple)-227(pr)18(econdi-)]TJ 0 -11.955 Td [(tioning)-250(techniques:)]TJ 0 g 0 G 13.888 -19.925 Td [(\225)]TJ 0 g 0 G @@ -23772,7 +23844,7 @@ BT 0 g 0 G 0 -19.926 Td [(\225)]TJ 0 g 0 G - [-500(Block)-250(Jacobi)-250(with)-250(ILU\0500\051)-250(factorization)]TJ -13.888 -19.925 Td [(The)-356(supporting)-356(data)-356(type)-356(and)-356(subr)18(outine)-356(interfaces)-356(ar)18(e)-356(de\002ned)-356(in)-356(the)-356(mod-)]TJ 0 -11.955 Td [(ule)]TJ/F59 9.9626 Tf 16.301 0 Td [(psb_prec_mod)]TJ/F54 9.9626 Tf 62.764 0 Td [(.)-350(The)-263(old)-263(interfaces)]TJ/F59 9.9626 Tf 87.314 0 Td [(psb_precinit)]TJ/F54 9.9626 Tf 65.386 0 Td [(and)]TJ/F59 9.9626 Tf 19.489 0 Td [(psb_precbld)]TJ/F54 9.9626 Tf 60.156 0 Td [(ar)18(e)-263(still)]TJ -311.41 -11.955 Td [(supported)-250(for)-250(backwar)18(d)-250(compatibility)]TJ + [-500(Block)-250(Jacobi)-250(with)-250(ILU\0500\051)-250(factorization)]TJ -13.888 -19.925 Td [(The)-356(supporting)-356(data)-356(type)-356(and)-356(subr)18(outine)-356(interfaces)-356(ar)18(e)-356(de\002ned)-356(in)-356(the)-356(mod-)]TJ 0 -11.955 Td [(ule)]TJ/F62 9.9626 Tf 16.301 0 Td [(psb_prec_mod)]TJ/F57 9.9626 Tf 62.764 0 Td [(.)-350(The)-263(old)-263(interfaces)]TJ/F62 9.9626 Tf 87.314 0 Td [(psb_precinit)]TJ/F57 9.9626 Tf 65.386 0 Td [(and)]TJ/F62 9.9626 Tf 19.489 0 Td [(psb_precbld)]TJ/F57 9.9626 Tf 60.156 0 Td [(ar)18(e)-263(still)]TJ -311.41 -11.955 Td [(supported)-250(for)-250(backwar)18(d)-250(compatibility)]TJ 0 g 0 G 164.383 -497.003 Td [(140)]TJ 0 g 0 G @@ -23788,70 +23860,70 @@ stream 0 g 0 G 0 g 0 G BT -/F51 11.9552 Tf 99.895 706.129 Td [(10.1)-1000(init)-250(\227)-250(Initialize)-250(a)-250(preconditioner)]TJ +/F54 11.9552 Tf 99.895 706.129 Td [(10.1)-1000(init)-250(\227)-250(Initialize)-250(a)-250(preconditioner)]TJ 0 g 0 G 0 g 0 G -/F59 9.9626 Tf 0 -18.964 Td [(call)-525(prec%init\050icontxt,ptype,)-525(info\051)]TJ +/F62 9.9626 Tf 0 -18.964 Td [(call)-525(prec%init\050icontxt,ptype,)-525(info\051)]TJ 0 g 0 G -/F51 9.9626 Tf 0 -21.918 Td [(T)90(ype:)]TJ +/F54 9.9626 Tf 0 -21.918 Td [(T)90(ype:)]TJ 0 g 0 G -/F54 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ +/F57 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ 0 g 0 G -/F51 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ +/F54 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -19.925 Td [(icontxt)]TJ 0 g 0 G -/F54 9.9626 Tf 35.965 0 Td [(the)-250(communication)-250(context.)]TJ -11.058 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 28.343 0 Td [(global)]TJ/F54 9.9626 Tf 28.782 0 Td [(.)]TJ -57.125 -11.956 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 24 0 Td [(required)]TJ/F54 9.9626 Tf 39.292 0 Td [(.)]TJ -63.292 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(value.)]TJ +/F57 9.9626 Tf 35.965 0 Td [(the)-250(communication)-250(context.)]TJ -11.058 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 28.343 0 Td [(global)]TJ/F57 9.9626 Tf 28.782 0 Td [(.)]TJ -57.125 -11.956 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 24 0 Td [(required)]TJ/F57 9.9626 Tf 39.292 0 Td [(.)]TJ -63.292 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(value.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.907 -19.925 Td [(ptype)]TJ +/F54 9.9626 Tf -24.907 -19.925 Td [(ptype)]TJ 0 g 0 G -/F54 9.9626 Tf 30.994 0 Td [(the)-250(type)-250(of)-250(pr)18(econditioner)74(.)-310(Scope:)]TJ/F51 9.9626 Tf 151.121 0 Td [(global)]TJ/F54 9.9626 Tf -157.208 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(character)-250(string,)-250(see)-250(usage)-250(notes.)]TJ +/F57 9.9626 Tf 30.994 0 Td [(the)-250(type)-250(of)-250(pr)18(econditioner)74(.)-310(Scope:)]TJ/F54 9.9626 Tf 151.121 0 Td [(global)]TJ/F57 9.9626 Tf -157.208 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(character)-250(string,)-250(see)-250(usage)-250(notes.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.907 -19.925 Td [(On)-250(Exit)]TJ +/F54 9.9626 Tf -24.907 -19.925 Td [(On)-250(Exit)]TJ 0 g 0 G 0 g 0 G 0 -19.925 Td [(prec)]TJ 0 g 0 G -/F54 9.9626 Tf 24.349 0 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -30.874 -11.956 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(inout)]TJ/F54 9.9626 Tf 24.349 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(pr)18(econditioner)-250(data)-250(str)8(uctur)18(e)]TJ +/F57 9.9626 Tf 24.349 0 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -30.874 -11.956 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(inout)]TJ/F57 9.9626 Tf 24.349 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(pr)18(econditioner)-250(data)-250(str)8(uctur)18(e)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 196.511 0 Td [(psb)]TJ +/F62 9.9626 Tf 196.511 0 Td [(psb)]TJ ET q 1 0 0 1 337.631 446.268 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 340.77 446.069 Td [(prec)]TJ +/F62 9.9626 Tf 340.77 446.069 Td [(prec)]TJ ET q 1 0 0 1 362.319 446.268 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 365.457 446.069 Td [(type)]TJ +/F62 9.9626 Tf 365.457 446.069 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf 20.921 0 Td [(.)]TJ +/F57 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -286.483 -19.925 Td [(info)]TJ +/F54 9.9626 Tf -286.483 -19.925 Td [(info)]TJ 0 g 0 G -/F54 9.9626 Tf 23.801 0 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(global)]TJ/F54 9.9626 Tf -30.326 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.956 Td [(Err)18(or)-250(code:)-310(if)-250(no)-250(err)18(or)74(,)-250(0)-250(is)-250(r)18(eturned.)]TJ/F51 11.9552 Tf -24.907 -21.917 Td [(Notes)]TJ/F54 9.9626 Tf 34.311 0 Td [(Legal)-245(inputs)-244(to)-245(this)-245(subr)18(outine)-245(ar)18(e)-244(interpr)18(eted)-245(depending)-245(on)-244(the)]TJ/F52 9.9626 Tf 285.595 0 Td [(p)-25(t)-25(y)-80(p)-25(e)]TJ/F54 9.9626 Tf -319.906 -11.956 Td [(string)-250(as)-250(follows)]TJ +/F57 9.9626 Tf 23.801 0 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(global)]TJ/F57 9.9626 Tf -30.326 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(out)]TJ/F57 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.956 Td [(Err)18(or)-250(code:)-310(if)-250(no)-250(err)18(or)74(,)-250(0)-250(is)-250(r)18(eturned.)]TJ/F54 11.9552 Tf -24.907 -21.917 Td [(Notes)]TJ/F57 9.9626 Tf 34.311 0 Td [(Legal)-245(inputs)-244(to)-245(this)-245(subr)18(outine)-245(ar)18(e)-244(interpr)18(eted)-245(depending)-245(on)-244(the)]TJ/F55 9.9626 Tf 285.595 0 Td [(p)-25(t)-25(y)-80(p)-25(e)]TJ/F57 9.9626 Tf -319.906 -11.956 Td [(string)-250(as)-250(follows)]TJ 0 0 1 rg 0 0 1 RG -/F54 7.5716 Tf 72.358 3.617 Td [(4)]TJ +/F57 7.5716 Tf 72.358 3.617 Td [(4)]TJ 0 g 0 G -/F54 9.9626 Tf 4.284 -3.617 Td [(:)]TJ +/F57 9.9626 Tf 4.284 -3.617 Td [(:)]TJ 0 g 0 G -/F51 9.9626 Tf -76.642 -19.925 Td [(NONE)]TJ +/F54 9.9626 Tf -76.642 -19.925 Td [(NONE)]TJ 0 g 0 G -/F54 9.9626 Tf 35.965 0 Td [(No)-250(pr)18(econditioning,)-250(i.e.)-310(the)-250(pr)18(econditioner)-250(is)-250(just)-250(a)-250(copy)-250(operator)74(.)]TJ +/F57 9.9626 Tf 35.965 0 Td [(No)-250(pr)18(econditioning,)-250(i.e.)-310(the)-250(pr)18(econditioner)-250(is)-250(just)-250(a)-250(copy)-250(operator)74(.)]TJ 0 g 0 G -/F51 9.9626 Tf -35.965 -19.925 Td [(DIAG)]TJ +/F54 9.9626 Tf -35.965 -19.925 Td [(DIAG)]TJ 0 g 0 G -/F54 9.9626 Tf 33.205 0 Td [(Diagonal)-371(scaling;)-432(each)-371(entry)-372(of)-371(the)-371(input)-371(vector)-372(is)-371(multiplied)-371(by)-371(the)]TJ -8.298 -11.955 Td [(r)18(ecipr)18(ocal)-266(of)-267(the)-266(sum)-267(of)-266(the)-266(absolute)-267(values)-266(of)-267(the)-266(coef)18(\002cients)-266(in)-267(the)-266(cor)18(-)]TJ 0 -11.955 Td [(r)18(esponding)-250(r)18(ow)-250(of)-250(matrix)]TJ/F52 9.9626 Tf 116.148 0 Td [(A)]TJ/F54 9.9626 Tf 7.318 0 Td [(;)]TJ +/F57 9.9626 Tf 33.205 0 Td [(Diagonal)-371(scaling;)-432(each)-371(entry)-372(of)-371(the)-371(input)-371(vector)-372(is)-371(multiplied)-371(by)-371(the)]TJ -8.298 -11.955 Td [(r)18(ecipr)18(ocal)-266(of)-267(the)-266(sum)-267(of)-266(the)-266(absolute)-267(values)-266(of)-267(the)-266(coef)18(\002cients)-266(in)-267(the)-266(cor)18(-)]TJ 0 -11.955 Td [(r)18(esponding)-250(r)18(ow)-250(of)-250(matrix)]TJ/F55 9.9626 Tf 116.148 0 Td [(A)]TJ/F57 9.9626 Tf 7.318 0 Td [(;)]TJ 0 g 0 G -/F51 9.9626 Tf -148.373 -19.926 Td [(BJAC)]TJ +/F54 9.9626 Tf -148.373 -19.926 Td [(BJAC)]TJ 0 g 0 G -/F54 9.9626 Tf 30.446 0 Td [(Pr)18(econdition)-211(by)-212(a)-211(factorization)-212(of)-211(the)-212(block-diagonal)-211(of)-212(matrix)]TJ/F52 9.9626 Tf 273.867 0 Td [(A)]TJ/F54 9.9626 Tf 7.317 0 Td [(,)-219(wher)18(e)]TJ -286.723 -11.955 Td [(block)-347(boundaries)-348(ar)18(e)-347(determined)-347(by)-348(the)-347(data)-347(allocation)-348(boundaries)-347(for)]TJ 0 -11.955 Td [(each)-223(pr)18(ocess;)-232(r)18(equir)18(es)-222(no)-223(communication.)-301(Only)-223(the)-222(incomplete)-223(factoriza-)]TJ 0 -11.955 Td [(tion)]TJ/F52 9.9626 Tf 20.498 0 Td [(I)-96(L)-9(U)]TJ/F85 10.3811 Tf 18.202 0 Td [(\050)]TJ/F54 9.9626 Tf 4.149 0 Td [(0)]TJ/F85 10.3811 Tf 5.106 0 Td [(\051)]TJ/F54 9.9626 Tf 6.64 0 Td [(is)-250(curr)18(ently)-250(implemented.)]TJ +/F57 9.9626 Tf 30.446 0 Td [(Pr)18(econdition)-211(by)-212(a)-211(factorization)-212(of)-211(the)-212(block-diagonal)-211(of)-212(matrix)]TJ/F55 9.9626 Tf 273.867 0 Td [(A)]TJ/F57 9.9626 Tf 7.317 0 Td [(,)-219(wher)18(e)]TJ -286.723 -11.955 Td [(block)-347(boundaries)-348(ar)18(e)-347(determined)-347(by)-348(the)-347(data)-347(allocation)-348(boundaries)-347(for)]TJ 0 -11.955 Td [(each)-223(pr)18(ocess;)-232(r)18(equir)18(es)-222(no)-223(communication.)-301(Only)-223(the)-222(incomplete)-223(factoriza-)]TJ 0 -11.955 Td [(tion)]TJ/F55 9.9626 Tf 20.498 0 Td [(I)-96(L)-9(U)]TJ/F88 10.3811 Tf 18.202 0 Td [(\050)]TJ/F57 9.9626 Tf 4.149 0 Td [(0)]TJ/F88 10.3811 Tf 5.106 0 Td [(\051)]TJ/F57 9.9626 Tf 6.64 0 Td [(is)-250(curr)18(ently)-250(implemented.)]TJ 0 g 0 G ET q @@ -23859,10 +23931,10 @@ q []0 d 0 J 0.398 w 0 0 m 137.482 0 l S Q BT -/F54 5.9776 Tf 110.755 123.219 Td [(4)]TJ/F54 7.9701 Tf 3.487 -2.893 Td [(The)-250(string)-250(is)-250(case-insensitive)]TJ +/F57 5.9776 Tf 110.755 123.219 Td [(4)]TJ/F57 7.9701 Tf 3.487 -2.893 Td [(The)-250(string)-250(is)-250(case-insensitive)]TJ 0 g 0 G 0 g 0 G -/F54 9.9626 Tf 150.037 -29.888 Td [(141)]TJ +/F57 9.9626 Tf 150.037 -29.888 Td [(141)]TJ 0 g 0 G ET @@ -23876,211 +23948,211 @@ stream 0 g 0 G 0 g 0 G BT -/F51 11.9552 Tf 150.705 706.129 Td [(10.2)-1000(build)-250(\227)-250(Builds)-250(a)-250(preconditioner)]TJ +/F54 11.9552 Tf 150.705 706.129 Td [(10.2)-1000(build)-250(\227)-250(Builds)-250(a)-250(preconditioner)]TJ 0 g 0 G 0 g 0 G -/F59 9.9626 Tf 0 -20.364 Td [(call)-525(prec%build\050a,)-525(desc_a,)-525(info[,amold,vmold,imold]\051)]TJ +/F62 9.9626 Tf 0 -20.364 Td [(call)-525(prec%build\050a,)-525(desc_a,)-525(info[,amold,vmold,imold]\051)]TJ 0 g 0 G -/F51 9.9626 Tf 0 -24.086 Td [(T)90(ype:)]TJ +/F54 9.9626 Tf 0 -24.086 Td [(T)90(ype:)]TJ 0 g 0 G -/F54 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ +/F57 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ 0 g 0 G -/F51 9.9626 Tf -29.828 -22.815 Td [(On)-250(Entry)]TJ +/F54 9.9626 Tf -29.828 -22.815 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -22.816 Td [(a)]TJ 0 g 0 G -/F54 9.9626 Tf 9.963 0 Td [(the)-250(system)-250(sparse)-250(matrix.)-310(Scope:)]TJ/F51 9.9626 Tf 146.229 0 Td [(local)]TJ/F54 9.9626 Tf -131.285 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(,)-250(tar)18(get.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(sparse)-250(matrix)-250(data)-250(str)8(uctur)18(e)]TJ +/F57 9.9626 Tf 9.963 0 Td [(the)-250(system)-250(sparse)-250(matrix.)-310(Scope:)]TJ/F54 9.9626 Tf 146.229 0 Td [(local)]TJ/F57 9.9626 Tf -131.285 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(,)-250(tar)18(get.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(sparse)-250(matrix)-250(data)-250(str)8(uctur)18(e)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 190.872 0 Td [(psb)]TJ +/F62 9.9626 Tf 190.872 0 Td [(psb)]TJ ET q 1 0 0 1 382.802 580.382 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 385.94 580.183 Td [(Tspmat)]TJ +/F62 9.9626 Tf 385.94 580.183 Td [(Tspmat)]TJ ET q 1 0 0 1 417.95 580.382 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 421.088 580.183 Td [(type)]TJ +/F62 9.9626 Tf 421.088 580.183 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf 20.922 0 Td [(.)]TJ +/F57 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -291.305 -22.815 Td [(prec)]TJ +/F54 9.9626 Tf -291.305 -22.815 Td [(prec)]TJ 0 g 0 G -/F54 9.9626 Tf 24.348 0 Td [(the)-250(pr)18(econditioner)74(.)]TJ 0.558 -11.956 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(required)]TJ/F54 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(inout)]TJ/F54 9.9626 Tf 24.348 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-190(as:)-280(an)-190(alr)18(eady)-190(initialized)-190(pr)18(econdtioner)-190(data)-190(str)8(uctur)18(e)]TJ +/F57 9.9626 Tf 24.348 0 Td [(the)-250(pr)18(econditioner)74(.)]TJ 0.558 -11.956 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.089 0 Td [(required)]TJ/F57 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(inout)]TJ/F57 9.9626 Tf 24.348 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-190(as:)-280(an)-190(alr)18(eady)-190(initialized)-190(pr)18(econdtioner)-190(data)-190(str)8(uctur)18(e)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 277.288 0 Td [(psb)]TJ +/F62 9.9626 Tf 277.288 0 Td [(psb)]TJ ET q 1 0 0 1 469.217 509.746 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 472.355 509.547 Td [(prec)]TJ +/F62 9.9626 Tf 472.355 509.547 Td [(prec)]TJ ET q 1 0 0 1 493.904 509.746 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 497.043 509.547 Td [(type)]TJ +/F62 9.9626 Tf 497.043 509.547 Td [(type)]TJ 0 g 0 G 0 g 0 G -/F51 9.9626 Tf -346.338 -34.771 Td [(desc)]TJ +/F54 9.9626 Tf -346.338 -34.771 Td [(desc)]TJ ET q 1 0 0 1 171.218 474.975 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 174.207 474.776 Td [(a)]TJ +/F54 9.9626 Tf 174.207 474.776 Td [(a)]TJ 0 g 0 G -/F54 9.9626 Tf 9.962 0 Td [(the)-250(pr)18(oblem)-250(communication)-250(descriptor)74(.)-310(Scope:)]TJ/F51 9.9626 Tf 208.625 0 Td [(local)]TJ/F54 9.9626 Tf -217.183 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(required)]TJ/F54 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(in)]TJ/F54 9.9626 Tf 9.404 0 Td [(,)-250(tar)18(get.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(communication)-250(descriptor)-250(data)-250(str)8(uctur)18(e)]TJ +/F57 9.9626 Tf 9.962 0 Td [(the)-250(pr)18(oblem)-250(communication)-250(descriptor)74(.)-310(Scope:)]TJ/F54 9.9626 Tf 208.625 0 Td [(local)]TJ/F57 9.9626 Tf -217.183 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.089 0 Td [(required)]TJ/F57 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(in)]TJ/F57 9.9626 Tf 9.404 0 Td [(,)-250(tar)18(get.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(communication)-250(descriptor)-250(data)-250(str)8(uctur)18(e)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 247.649 0 Td [(psb)]TJ +/F62 9.9626 Tf 247.649 0 Td [(psb)]TJ ET q 1 0 0 1 439.579 439.11 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 442.717 438.911 Td [(desc)]TJ +/F62 9.9626 Tf 442.717 438.911 Td [(desc)]TJ ET q 1 0 0 1 464.266 439.11 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 467.404 438.911 Td [(type)]TJ +/F62 9.9626 Tf 467.404 438.911 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf 20.921 0 Td [(.)]TJ +/F57 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -337.62 -22.816 Td [(amold)]TJ +/F54 9.9626 Tf -337.62 -22.816 Td [(amold)]TJ 0 g 0 G -/F54 9.9626 Tf 33.763 0 Td [(The)-250(desir)18(ed)-250(dynamic)-250(type)-250(for)-250(the)-250(internal)-250(matrix)-250(storage.)]TJ -8.857 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -53.011 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(optional)]TJ/F54 9.9626 Tf 38.186 0 Td [(.)]TJ -65.275 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(in)]TJ/F54 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(object)-250(of)-250(a)-250(class)-250(derived)-250(fr)18(om)]TJ/F59 9.9626 Tf 201.393 0 Td [(psb)]TJ +/F57 9.9626 Tf 33.763 0 Td [(The)-250(desir)18(ed)-250(dynamic)-250(type)-250(for)-250(the)-250(internal)-250(matrix)-250(storage.)]TJ -8.857 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ -53.011 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.089 0 Td [(optional)]TJ/F57 9.9626 Tf 38.186 0 Td [(.)]TJ -65.275 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(in)]TJ/F57 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(object)-250(of)-250(a)-250(class)-250(derived)-250(fr)18(om)]TJ/F62 9.9626 Tf 201.393 0 Td [(psb)]TJ ET q 1 0 0 1 393.323 368.474 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 396.461 368.275 Td [(T)]TJ +/F62 9.9626 Tf 396.461 368.275 Td [(T)]TJ ET q 1 0 0 1 402.319 368.474 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 405.457 368.275 Td [(base)]TJ +/F62 9.9626 Tf 405.457 368.275 Td [(base)]TJ ET q 1 0 0 1 427.006 368.474 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 430.144 368.275 Td [(sparse)]TJ +/F62 9.9626 Tf 430.144 368.275 Td [(sparse)]TJ ET q 1 0 0 1 462.154 368.474 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 465.292 368.275 Td [(mat)]TJ/F54 9.9626 Tf 15.691 0 Td [(.)]TJ +/F62 9.9626 Tf 465.292 368.275 Td [(mat)]TJ/F57 9.9626 Tf 15.691 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -330.278 -22.816 Td [(vmold)]TJ +/F54 9.9626 Tf -330.278 -22.816 Td [(vmold)]TJ 0 g 0 G -/F54 9.9626 Tf 34.321 0 Td [(The)-250(desir)18(ed)-250(dynamic)-250(type)-250(for)-250(the)-250(internal)-250(vector)-250(storage.)]TJ -9.415 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -53.011 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(optional)]TJ/F54 9.9626 Tf 38.186 0 Td [(.)]TJ -65.275 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(in)]TJ/F54 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.956 Td [(Speci\002ed)-250(as:)-310(an)-250(object)-250(of)-250(a)-250(class)-250(derived)-250(fr)18(om)]TJ/F59 9.9626 Tf 201.393 0 Td [(psb)]TJ +/F57 9.9626 Tf 34.321 0 Td [(The)-250(desir)18(ed)-250(dynamic)-250(type)-250(for)-250(the)-250(internal)-250(vector)-250(storage.)]TJ -9.415 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ -53.011 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.089 0 Td [(optional)]TJ/F57 9.9626 Tf 38.186 0 Td [(.)]TJ -65.275 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(in)]TJ/F57 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.956 Td [(Speci\002ed)-250(as:)-310(an)-250(object)-250(of)-250(a)-250(class)-250(derived)-250(fr)18(om)]TJ/F62 9.9626 Tf 201.393 0 Td [(psb)]TJ ET q 1 0 0 1 393.323 297.838 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 396.461 297.638 Td [(T)]TJ +/F62 9.9626 Tf 396.461 297.638 Td [(T)]TJ ET q 1 0 0 1 402.319 297.838 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 405.457 297.638 Td [(base)]TJ +/F62 9.9626 Tf 405.457 297.638 Td [(base)]TJ ET q 1 0 0 1 427.006 297.838 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 430.144 297.638 Td [(vect)]TJ +/F62 9.9626 Tf 430.144 297.638 Td [(vect)]TJ ET q 1 0 0 1 451.693 297.838 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 454.832 297.638 Td [(type)]TJ/F54 9.9626 Tf 20.921 0 Td [(.)]TJ +/F62 9.9626 Tf 454.832 297.638 Td [(type)]TJ/F57 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -325.048 -22.815 Td [(imold)]TJ +/F54 9.9626 Tf -325.048 -22.815 Td [(imold)]TJ 0 g 0 G -/F54 9.9626 Tf 32.099 0 Td [(The)-250(desir)18(ed)-250(dynamic)-250(type)-250(for)-250(the)-250(internal)-250(integer)-250(vector)-250(storage.)]TJ -7.193 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -53.011 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(optional)]TJ/F54 9.9626 Tf 38.186 0 Td [(.)]TJ -65.275 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(in)]TJ/F54 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.956 Td [(Speci\002ed)-190(as:)-280(an)-190(object)-190(of)-190(a)-190(class)-190(derived)-190(fr)18(om)-190(\050integer\051)]TJ/F59 9.9626 Tf 235.804 0 Td [(psb)]TJ +/F57 9.9626 Tf 32.099 0 Td [(The)-250(desir)18(ed)-250(dynamic)-250(type)-250(for)-250(the)-250(internal)-250(integer)-250(vector)-250(storage.)]TJ -7.193 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ -53.011 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.089 0 Td [(optional)]TJ/F57 9.9626 Tf 38.186 0 Td [(.)]TJ -65.275 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(in)]TJ/F57 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.956 Td [(Speci\002ed)-190(as:)-280(an)-190(object)-190(of)-190(a)-190(class)-190(derived)-190(fr)18(om)-190(\050integer\051)]TJ/F62 9.9626 Tf 235.804 0 Td [(psb)]TJ ET q 1 0 0 1 427.733 227.202 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 430.872 227.002 Td [(T)]TJ +/F62 9.9626 Tf 430.872 227.002 Td [(T)]TJ ET q 1 0 0 1 436.73 227.202 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 439.868 227.002 Td [(base)]TJ +/F62 9.9626 Tf 439.868 227.002 Td [(base)]TJ ET q 1 0 0 1 461.417 227.202 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 464.555 227.002 Td [(vect)]TJ +/F62 9.9626 Tf 464.555 227.002 Td [(vect)]TJ ET q 1 0 0 1 486.104 227.202 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 489.242 227.002 Td [(type)]TJ/F54 9.9626 Tf 20.922 0 Td [(.)]TJ +/F62 9.9626 Tf 489.242 227.002 Td [(type)]TJ/F57 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -359.459 -24.085 Td [(On)-250(Return)]TJ +/F54 9.9626 Tf -359.459 -24.085 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -22.816 Td [(prec)]TJ 0 g 0 G -/F54 9.9626 Tf 24.348 0 Td [(the)-250(pr)18(econditioner)74(.)]TJ 0.558 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(required)]TJ/F54 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(inout)]TJ/F54 9.9626 Tf 24.348 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(pr)18(econdtioner)-250(data)-250(str)8(uctur)18(e)]TJ +/F57 9.9626 Tf 24.348 0 Td [(the)-250(pr)18(econditioner)74(.)]TJ 0.558 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.089 0 Td [(required)]TJ/F57 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(inout)]TJ/F57 9.9626 Tf 24.348 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(pr)18(econdtioner)-250(data)-250(str)8(uctur)18(e)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 193.612 0 Td [(psb)]TJ +/F62 9.9626 Tf 193.612 0 Td [(psb)]TJ ET q 1 0 0 1 385.542 132.48 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 388.68 132.281 Td [(prec)]TJ +/F62 9.9626 Tf 388.68 132.281 Td [(prec)]TJ ET q 1 0 0 1 410.229 132.48 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 413.367 132.281 Td [(type)]TJ +/F62 9.9626 Tf 413.367 132.281 Td [(type)]TJ 0 g 0 G 0 g 0 G -/F54 9.9626 Tf -98.279 -41.843 Td [(142)]TJ +/F57 9.9626 Tf -98.279 -41.843 Td [(142)]TJ 0 g 0 G ET @@ -24095,9 +24167,9 @@ stream 0 g 0 G 0 g 0 G BT -/F51 9.9626 Tf 99.895 706.129 Td [(info)]TJ +/F54 9.9626 Tf 99.895 706.129 Td [(info)]TJ 0 g 0 G -/F54 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ -24.907 -21.918 Td [(The)]TJ/F59 9.9626 Tf 20.388 0 Td [(amold)]TJ/F54 9.9626 Tf 26.152 0 Td [(,)]TJ/F59 9.9626 Tf 6.506 0 Td [(vmold)]TJ/F54 9.9626 Tf 29.862 0 Td [(and)]TJ/F59 9.9626 Tf 20.577 0 Td [(imold)]TJ/F54 9.9626 Tf 29.862 0 Td [(ar)18(guments)-372(may)-373(be)-372(employed)-373(to)-372(interface)-372(with)]TJ -133.347 -11.955 Td [(special)-250(devices,)-250(such)-250(as)-250(GPUs)-250(and)-250(other)-250(accelerators.)]TJ +/F57 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(out)]TJ/F57 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ -24.907 -21.918 Td [(The)]TJ/F62 9.9626 Tf 20.388 0 Td [(amold)]TJ/F57 9.9626 Tf 26.152 0 Td [(,)]TJ/F62 9.9626 Tf 6.506 0 Td [(vmold)]TJ/F57 9.9626 Tf 29.862 0 Td [(and)]TJ/F62 9.9626 Tf 20.577 0 Td [(imold)]TJ/F57 9.9626 Tf 29.862 0 Td [(ar)18(guments)-372(may)-373(be)-372(employed)-373(to)-372(interface)-372(with)]TJ -133.347 -11.955 Td [(special)-250(devices,)-250(such)-250(as)-250(GPUs)-250(and)-250(other)-250(accelerators.)]TJ 0 g 0 G 164.384 -533.997 Td [(143)]TJ 0 g 0 G @@ -24113,141 +24185,141 @@ stream 0 g 0 G 0 g 0 G BT -/F51 11.9552 Tf 150.705 706.129 Td [(10.3)-1000(apply)-250(\227)-250(Preconditioner)-250(application)-250(routine)]TJ +/F54 11.9552 Tf 150.705 706.129 Td [(10.3)-1000(apply)-250(\227)-250(Preconditioner)-250(application)-250(routine)]TJ 0 g 0 G 0 g 0 G -/F59 9.9626 Tf 0 -18.964 Td [(call)-525(prec%apply\050x,y,desc_a,info,trans,work\051)]TJ 0 -11.955 Td [(call)-525(prec%apply\050x,desc_a,info,trans\051)]TJ +/F62 9.9626 Tf 0 -18.964 Td [(call)-525(prec%apply\050x,y,desc_a,info,trans,work\051)]TJ 0 -11.955 Td [(call)-525(prec%apply\050x,desc_a,info,trans\051)]TJ 0 g 0 G -/F51 9.9626 Tf 0 -21.918 Td [(T)90(ype:)]TJ +/F54 9.9626 Tf 0 -21.918 Td [(T)90(ype:)]TJ 0 g 0 G -/F54 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ +/F57 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ 0 g 0 G -/F51 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ +/F54 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -19.925 Td [(prec)]TJ 0 g 0 G -/F54 9.9626 Tf 24.348 0 Td [(the)-250(pr)18(econditioner)74(.)-310(Scope:)]TJ/F51 9.9626 Tf 117.837 0 Td [(local)]TJ/F54 9.9626 Tf -117.279 -11.956 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(required)]TJ/F54 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(in)]TJ/F54 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(pr)18(econditioner)-250(data)-250(str)8(uctur)18(e)]TJ +/F57 9.9626 Tf 24.348 0 Td [(the)-250(pr)18(econditioner)74(.)-310(Scope:)]TJ/F54 9.9626 Tf 117.837 0 Td [(local)]TJ/F57 9.9626 Tf -117.279 -11.956 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.089 0 Td [(required)]TJ/F57 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(in)]TJ/F57 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(pr)18(econditioner)-250(data)-250(str)8(uctur)18(e)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 196.511 0 Td [(psb)]TJ +/F62 9.9626 Tf 196.511 0 Td [(psb)]TJ ET q 1 0 0 1 388.441 577.775 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 391.579 577.576 Td [(prec)]TJ +/F62 9.9626 Tf 391.579 577.576 Td [(prec)]TJ ET q 1 0 0 1 413.128 577.775 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 416.266 577.576 Td [(type)]TJ +/F62 9.9626 Tf 416.266 577.576 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf 20.922 0 Td [(.)]TJ +/F57 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -286.483 -19.925 Td [(x)]TJ +/F54 9.9626 Tf -286.483 -19.925 Td [(x)]TJ 0 g 0 G -/F54 9.9626 Tf 9.962 0 Td [(the)-250(sour)18(ce)-250(vector)74(.)-310(Scope:)]TJ/F51 9.9626 Tf 111.142 0 Td [(local)]TJ/F54 9.9626 Tf -96.198 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(required)]TJ/F54 9.9626 Tf -27.089 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(inout)]TJ/F54 9.9626 Tf 24.348 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(rank)-250(one)-250(array)-250(or)-250(an)-250(object)-250(of)-250(type)]TJ +/F57 9.9626 Tf 9.962 0 Td [(the)-250(sour)18(ce)-250(vector)74(.)-310(Scope:)]TJ/F54 9.9626 Tf 111.142 0 Td [(local)]TJ/F57 9.9626 Tf -96.198 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.089 0 Td [(required)]TJ/F57 9.9626 Tf -27.089 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(inout)]TJ/F57 9.9626 Tf 24.348 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(rank)-250(one)-250(array)-250(or)-250(an)-250(object)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 218.688 0 Td [(psb)]TJ +/F62 9.9626 Tf 218.688 0 Td [(psb)]TJ ET q 1 0 0 1 410.618 521.985 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 413.756 521.785 Td [(T)]TJ +/F62 9.9626 Tf 413.756 521.785 Td [(T)]TJ ET q 1 0 0 1 419.614 521.985 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 422.752 521.785 Td [(vect)]TJ +/F62 9.9626 Tf 422.752 521.785 Td [(vect)]TJ ET q 1 0 0 1 444.301 521.985 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 447.439 521.785 Td [(type)]TJ +/F62 9.9626 Tf 447.439 521.785 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf 20.922 0 Td [(.)]TJ +/F57 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -317.656 -19.925 Td [(desc)]TJ +/F54 9.9626 Tf -317.656 -19.925 Td [(desc)]TJ ET q 1 0 0 1 171.218 502.059 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 174.207 501.86 Td [(a)]TJ +/F54 9.9626 Tf 174.207 501.86 Td [(a)]TJ 0 g 0 G -/F54 9.9626 Tf 9.962 0 Td [(the)-250(pr)18(oblem)-250(communication)-250(descriptor)74(.)-310(Scope:)]TJ/F51 9.9626 Tf 208.625 0 Td [(local)]TJ/F54 9.9626 Tf -217.183 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(required)]TJ/F54 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(in)]TJ/F54 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.956 Td [(Speci\002ed)-250(as:)-310(a)-250(communication)-250(data)-250(str)8(uctur)18(e)]TJ +/F57 9.9626 Tf 9.962 0 Td [(the)-250(pr)18(oblem)-250(communication)-250(descriptor)74(.)-310(Scope:)]TJ/F54 9.9626 Tf 208.625 0 Td [(local)]TJ/F57 9.9626 Tf -217.183 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.089 0 Td [(required)]TJ/F57 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(in)]TJ/F57 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.956 Td [(Speci\002ed)-250(as:)-310(a)-250(communication)-250(data)-250(str)8(uctur)18(e)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 200.207 0 Td [(psb)]TJ +/F62 9.9626 Tf 200.207 0 Td [(psb)]TJ ET q 1 0 0 1 392.137 466.194 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 395.275 465.994 Td [(desc)]TJ +/F62 9.9626 Tf 395.275 465.994 Td [(desc)]TJ ET q 1 0 0 1 416.824 466.194 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 419.963 465.994 Td [(type)]TJ +/F62 9.9626 Tf 419.963 465.994 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf 20.921 0 Td [(.)]TJ +/F57 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -290.179 -19.925 Td [(trans)]TJ +/F54 9.9626 Tf -290.179 -19.925 Td [(trans)]TJ 0 g 0 G -/F54 9.9626 Tf 27.666 0 Td [(Scope:)]TJ -2.76 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(optional)]TJ/F54 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(in)]TJ/F54 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(character)74(.)]TJ +/F57 9.9626 Tf 27.666 0 Td [(Scope:)]TJ -2.76 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.089 0 Td [(optional)]TJ/F57 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(in)]TJ/F57 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(character)74(.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.906 -19.926 Td [(work)]TJ +/F54 9.9626 Tf -24.906 -19.926 Td [(work)]TJ 0 g 0 G -/F54 9.9626 Tf 28.782 0 Td [(an)-250(optional)-250(work)-250(space)-250(Scope:)]TJ/F51 9.9626 Tf 136.476 0 Td [(local)]TJ/F54 9.9626 Tf -140.352 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(optional)]TJ/F54 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(inout)]TJ/F54 9.9626 Tf 24.348 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(double)-250(pr)18(ecision)-250(array)111(.)]TJ +/F57 9.9626 Tf 28.782 0 Td [(an)-250(optional)-250(work)-250(space)-250(Scope:)]TJ/F54 9.9626 Tf 136.476 0 Td [(local)]TJ/F57 9.9626 Tf -140.352 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.089 0 Td [(optional)]TJ/F57 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(inout)]TJ/F57 9.9626 Tf 24.348 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(double)-250(pr)18(ecision)-250(array)111(.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.906 -21.918 Td [(On)-250(Return)]TJ +/F54 9.9626 Tf -24.906 -21.918 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -19.925 Td [(y)]TJ 0 g 0 G -/F54 9.9626 Tf 10.52 0 Td [(the)-250(destination)-250(vector)74(.)-310(Scope:)]TJ/F51 9.9626 Tf 131.914 0 Td [(local)]TJ/F54 9.9626 Tf -117.528 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(required)]TJ/F54 9.9626 Tf -27.089 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(inout)]TJ/F54 9.9626 Tf 24.348 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(rank)-250(one)-250(array)-250(or)-250(an)-250(object)-250(of)-250(type)]TJ +/F57 9.9626 Tf 10.52 0 Td [(the)-250(destination)-250(vector)74(.)-310(Scope:)]TJ/F54 9.9626 Tf 131.914 0 Td [(local)]TJ/F57 9.9626 Tf -117.528 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.089 0 Td [(required)]TJ/F57 9.9626 Tf -27.089 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(inout)]TJ/F57 9.9626 Tf 24.348 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(rank)-250(one)-250(array)-250(or)-250(an)-250(object)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 218.688 0 Td [(psb)]TJ +/F62 9.9626 Tf 218.688 0 Td [(psb)]TJ ET q 1 0 0 1 410.618 276.904 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 413.756 276.704 Td [(T)]TJ +/F62 9.9626 Tf 413.756 276.704 Td [(T)]TJ ET q 1 0 0 1 419.614 276.904 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 422.752 276.704 Td [(vect)]TJ +/F62 9.9626 Tf 422.752 276.704 Td [(vect)]TJ ET q 1 0 0 1 444.301 276.904 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 447.439 276.704 Td [(type)]TJ +/F62 9.9626 Tf 447.439 276.704 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf 20.922 0 Td [(.)]TJ +/F57 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -317.656 -19.925 Td [(info)]TJ +/F54 9.9626 Tf -317.656 -19.925 Td [(info)]TJ 0 g 0 G -/F54 9.9626 Tf 23.8 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(required)]TJ/F54 9.9626 Tf -27.089 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.745 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ +/F57 9.9626 Tf 23.8 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.089 0 Td [(required)]TJ/F57 9.9626 Tf -27.089 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(out)]TJ/F57 9.9626 Tf 14.944 0 Td [(.)]TJ -46.745 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ 0 g 0 G 139.477 -118.52 Td [(144)]TJ 0 g 0 G @@ -24263,54 +24335,54 @@ stream 0 g 0 G 0 g 0 G BT -/F51 11.9552 Tf 99.895 706.129 Td [(10.4)-1000(descr)-250(\227)-250(Prints)-250(a)-250(description)-250(of)-250(current)-250(preconditioner)]TJ +/F54 11.9552 Tf 99.895 706.129 Td [(10.4)-1000(descr)-250(\227)-250(Prints)-250(a)-250(description)-250(of)-250(current)-250(preconditioner)]TJ 0 g 0 G 0 g 0 G -/F59 9.9626 Tf 0 -18.964 Td [(call)-525(prec%descr\050info\051)]TJ 0 -11.955 Td [(call)-525(prec%descr\050info,iout,)-525(root\051)]TJ +/F62 9.9626 Tf 0 -18.964 Td [(call)-525(prec%descr\050info\051)]TJ 0 -11.955 Td [(call)-525(prec%descr\050info,iout,)-525(root\051)]TJ 0 g 0 G -/F51 9.9626 Tf 0 -21.918 Td [(T)90(ype:)]TJ +/F54 9.9626 Tf 0 -21.918 Td [(T)90(ype:)]TJ 0 g 0 G -/F54 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ +/F57 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ 0 g 0 G -/F51 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ +/F54 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -19.925 Td [(prec)]TJ 0 g 0 G -/F54 9.9626 Tf 24.349 0 Td [(the)-250(pr)18(econditioner)74(.)-310(Scope:)]TJ/F51 9.9626 Tf 117.836 0 Td [(local)]TJ/F54 9.9626 Tf -117.278 -11.956 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(pr)18(econditioner)-250(data)-250(str)8(uctur)18(e)]TJ +/F57 9.9626 Tf 24.349 0 Td [(the)-250(pr)18(econditioner)74(.)-310(Scope:)]TJ/F54 9.9626 Tf 117.836 0 Td [(local)]TJ/F57 9.9626 Tf -117.278 -11.956 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(pr)18(econditioner)-250(data)-250(str)8(uctur)18(e)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 196.511 0 Td [(psb)]TJ +/F62 9.9626 Tf 196.511 0 Td [(psb)]TJ ET q 1 0 0 1 337.631 577.775 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 340.77 577.576 Td [(prec)]TJ +/F62 9.9626 Tf 340.77 577.576 Td [(prec)]TJ ET q 1 0 0 1 362.319 577.775 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 365.457 577.576 Td [(type)]TJ +/F62 9.9626 Tf 365.457 577.576 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf 20.921 0 Td [(.)]TJ +/F57 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -286.483 -19.925 Td [(iout)]TJ +/F54 9.9626 Tf -286.483 -19.925 Td [(iout)]TJ 0 g 0 G -/F54 9.9626 Tf 23.243 0 Td [(output)-250(unit.)-310(Scope:)]TJ/F51 9.9626 Tf 87.391 0 Td [(local)]TJ/F54 9.9626 Tf -85.727 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(optional)]TJ/F54 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(number)74(.)-310(Default:)-310(default)-250(output)-250(unit.)]TJ +/F57 9.9626 Tf 23.243 0 Td [(output)-250(unit.)-310(Scope:)]TJ/F54 9.9626 Tf 87.391 0 Td [(local)]TJ/F57 9.9626 Tf -85.727 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(optional)]TJ/F57 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(number)74(.)-310(Default:)-310(default)-250(output)-250(unit.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.907 -19.925 Td [(root)]TJ +/F54 9.9626 Tf -24.907 -19.925 Td [(root)]TJ 0 g 0 G -/F54 9.9626 Tf 23.253 0 Td [(Pr)18(ocess)-250(fr)18(om)-250(which)-250(to)-250(print)-250(Scope:)]TJ/F51 9.9626 Tf 155.834 0 Td [(local)]TJ/F54 9.9626 Tf -154.18 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(optional)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.956 Td [(Speci\002ed)-387(as:)-585(an)-387(integer)-387(number)-388(between)-387(0)-387(and)]TJ/F52 9.9626 Tf 220.442 0 Td [(n)-80(p)]TJ/F83 10.3811 Tf 14.01 0 Td [(\000)]TJ/F54 9.9626 Tf 10.638 0 Td [(1,)-422(in)-387(which)-387(case)]TJ -245.09 -11.955 Td [(the)-314(speci\002e)1(d)-314(pr)18(ocess)-314(will)-313(print)-314(the)-313(description,)-330(or)]TJ/F83 10.3811 Tf 225.38 0 Td [(\000)]TJ/F54 9.9626 Tf 8.194 0 Td [(1,)-329(in)-314(which)-314(case)-313(all)]TJ -233.574 -11.955 Td [(pr)18(ocesses)-250(will)-250(print.)-310(Default:)-310(0.)]TJ +/F57 9.9626 Tf 23.253 0 Td [(Pr)18(ocess)-250(fr)18(om)-250(which)-250(to)-250(print)-250(Scope:)]TJ/F54 9.9626 Tf 155.834 0 Td [(local)]TJ/F57 9.9626 Tf -154.18 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(optional)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.956 Td [(Speci\002ed)-387(as:)-585(an)-387(integer)-387(number)-388(between)-387(0)-387(and)]TJ/F55 9.9626 Tf 220.442 0 Td [(n)-80(p)]TJ/F86 10.3811 Tf 14.01 0 Td [(\000)]TJ/F57 9.9626 Tf 10.638 0 Td [(1,)-422(in)-387(which)-387(case)]TJ -245.09 -11.955 Td [(the)-314(speci\002e)1(d)-314(pr)18(ocess)-314(will)-313(print)-314(the)-313(description,)-330(or)]TJ/F86 10.3811 Tf 225.38 0 Td [(\000)]TJ/F57 9.9626 Tf 8.194 0 Td [(1,)-329(in)-314(which)-314(case)-313(all)]TJ -233.574 -11.955 Td [(pr)18(ocesses)-250(will)-250(print.)-310(Default:)-310(0.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.907 -19.925 Td [(On)-250(Return)]TJ +/F54 9.9626 Tf -24.907 -19.925 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -19.925 Td [(info)]TJ 0 g 0 G -/F54 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.956 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ +/F57 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.956 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(out)]TJ/F57 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ 0 g 0 G 139.477 -263.975 Td [(145)]TJ 0 g 0 G @@ -24326,32 +24398,32 @@ stream 0 g 0 G 0 g 0 G BT -/F51 11.9552 Tf 150.705 706.129 Td [(10.5)-1000(clone)-250(\227)-250(clone)-250(current)-250(preconditioner)]TJ +/F54 11.9552 Tf 150.705 706.129 Td [(10.5)-1000(clone)-250(\227)-250(clone)-250(current)-250(preconditioner)]TJ 0 g 0 G 0 g 0 G -/F59 9.9626 Tf 0 -18.964 Td [(call)-1050(prec%clone\050precout,info\051)]TJ +/F62 9.9626 Tf 0 -18.964 Td [(call)-1050(prec%clone\050precout,info\051)]TJ 0 g 0 G -/F51 9.9626 Tf 0 -21.918 Td [(T)90(ype:)]TJ +/F54 9.9626 Tf 0 -21.918 Td [(T)90(ype:)]TJ 0 g 0 G -/F54 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ +/F57 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ 0 g 0 G -/F51 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ +/F54 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -19.925 Td [(prec)]TJ 0 g 0 G -/F54 9.9626 Tf 24.348 0 Td [(the)-250(pr)18(econditioner)74(.)]TJ 0.558 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ +/F57 9.9626 Tf 24.348 0 Td [(the)-250(pr)18(econditioner)74(.)]TJ 0.558 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -77.917 -33.873 Td [(On)-250(Return)]TJ +/F54 9.9626 Tf -77.917 -33.873 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -19.926 Td [(precout)]TJ 0 g 0 G -/F54 9.9626 Tf 39.292 0 Td [(A)-250(copy)-250(of)-250(the)-250(input)-250(object.)]TJ +/F57 9.9626 Tf 39.292 0 Td [(A)-250(copy)-250(of)-250(the)-250(input)-250(object.)]TJ 0 g 0 G -/F51 9.9626 Tf -39.292 -19.925 Td [(info)]TJ +/F54 9.9626 Tf -39.292 -19.925 Td [(info)]TJ 0 g 0 G -/F54 9.9626 Tf 23.8 0 Td [(Return)-250(code.)]TJ +/F57 9.9626 Tf 23.8 0 Td [(Return)-250(code.)]TJ 0 g 0 G 140.583 -449.28 Td [(146)]TJ 0 g 0 G @@ -24367,68 +24439,68 @@ stream 0 g 0 G 0 g 0 G BT -/F51 11.9552 Tf 99.895 706.129 Td [(10.6)-1000(free)-250(\227)-250(Free)-250(a)-250(preconditioner)]TJ +/F54 11.9552 Tf 99.895 706.129 Td [(10.6)-1000(free)-250(\227)-250(Free)-250(a)-250(preconditioner)]TJ 0 g 0 G 0 g 0 G -/F59 9.9626 Tf 0 -18.964 Td [(call)-525(prec%free\050info\051)]TJ +/F62 9.9626 Tf 0 -18.964 Td [(call)-525(prec%free\050info\051)]TJ 0 g 0 G -/F51 9.9626 Tf 0 -21.918 Td [(T)90(ype:)]TJ +/F54 9.9626 Tf 0 -21.918 Td [(T)90(ype:)]TJ 0 g 0 G -/F54 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ +/F57 9.9626 Tf 29.828 0 Td [(Asynchr)18(onous.)]TJ 0 g 0 G -/F51 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ +/F54 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -19.925 Td [(prec)]TJ 0 g 0 G -/F54 9.9626 Tf 24.349 0 Td [(the)-250(pr)18(econditioner)74(.)]TJ 0.558 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -53.011 -11.956 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(inout)]TJ/F54 9.9626 Tf 24.349 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(pr)18(econditioner)-250(data)-250(str)8(uctur)18(e)]TJ +/F57 9.9626 Tf 24.349 0 Td [(the)-250(pr)18(econditioner)74(.)]TJ 0.558 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ -53.011 -11.956 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(inout)]TJ/F57 9.9626 Tf 24.349 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(pr)18(econditioner)-250(data)-250(str)8(uctur)18(e)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 196.511 0 Td [(psb)]TJ +/F62 9.9626 Tf 196.511 0 Td [(psb)]TJ ET q 1 0 0 1 337.631 577.775 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 340.77 577.576 Td [(prec)]TJ +/F62 9.9626 Tf 340.77 577.576 Td [(prec)]TJ ET q 1 0 0 1 362.319 577.775 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 365.457 577.576 Td [(type)]TJ +/F62 9.9626 Tf 365.457 577.576 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf 20.921 0 Td [(.)]TJ +/F57 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -286.483 -19.925 Td [(On)-250(Exit)]TJ +/F54 9.9626 Tf -286.483 -19.925 Td [(On)-250(Exit)]TJ 0 g 0 G 0 g 0 G 0 -19.926 Td [(prec)]TJ 0 g 0 G -/F54 9.9626 Tf 24.349 0 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -30.874 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(inout)]TJ/F54 9.9626 Tf 24.349 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(pr)18(econditioner)-250(data)-250(str)8(uctur)18(e)]TJ +/F57 9.9626 Tf 24.349 0 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -30.874 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(inout)]TJ/F57 9.9626 Tf 24.349 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(pr)18(econditioner)-250(data)-250(str)8(uctur)18(e)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 196.511 0 Td [(psb)]TJ +/F62 9.9626 Tf 196.511 0 Td [(psb)]TJ ET q 1 0 0 1 337.631 502.059 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 340.77 501.86 Td [(prec)]TJ +/F62 9.9626 Tf 340.77 501.86 Td [(prec)]TJ ET q 1 0 0 1 362.319 502.059 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 365.457 501.86 Td [(type)]TJ +/F62 9.9626 Tf 365.457 501.86 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf 20.921 0 Td [(.)]TJ +/F57 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -286.483 -19.925 Td [(info)]TJ +/F54 9.9626 Tf -286.483 -19.925 Td [(info)]TJ 0 g 0 G -/F54 9.9626 Tf 23.801 0 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(global)]TJ/F54 9.9626 Tf -30.326 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(Err)18(or)-250(code:)-310(if)-250(no)-250(err)18(or)74(,)-250(0)-250(is)-250(r)18(eturned.)]TJ/F51 11.9552 Tf -24.907 -21.918 Td [(Notes)]TJ/F54 9.9626 Tf 34.363 0 Td [(Releases)-250(all)-250(internal)-250(storage.)]TJ +/F57 9.9626 Tf 23.801 0 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(global)]TJ/F57 9.9626 Tf -30.326 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(out)]TJ/F57 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(Err)18(or)-250(code:)-310(if)-250(no)-250(err)18(or)74(,)-250(0)-250(is)-250(r)18(eturned.)]TJ/F54 11.9552 Tf -24.907 -21.918 Td [(Notes)]TJ/F57 9.9626 Tf 34.363 0 Td [(Releases)-250(all)-250(internal)-250(storage.)]TJ 0 g 0 G 130.021 -333.713 Td [(147)]TJ 0 g 0 G @@ -24444,7 +24516,7 @@ stream 0 g 0 G 0 g 0 G BT -/F51 14.3462 Tf 150.705 705.784 Td [(11)-1000(Iterative)-250(Methods)]TJ/F54 9.9626 Tf 0 -22.702 Td [(In)-402(this)-403(chapter)-402(we)-403(pr)18(ovide)-402(r)18(outines)-403(for)-402(pr)18(econditioners)-402(and)-403(iterative)-402(meth-)]TJ 0 -11.955 Td [(ods.)-472(The)-304(interfaces)-304(for)-304(Krylov)-304(subspace)-303(methods)-304(ar)18(e)-304(available)-304(in)-304(the)-304(module)]TJ/F59 9.9626 Tf 0 -11.955 Td [(psb_krylov_mod)]TJ/F54 9.9626 Tf 73.225 0 Td [(.)]TJ +/F54 14.3462 Tf 150.705 705.784 Td [(11)-1000(Iterative)-250(Methods)]TJ/F57 9.9626 Tf 0 -22.702 Td [(In)-402(this)-403(chapter)-402(we)-403(pr)18(ovide)-402(r)18(outines)-403(for)-402(pr)18(econditioners)-402(and)-403(iterative)-402(meth-)]TJ 0 -11.955 Td [(ods.)-472(The)-304(interfaces)-304(for)-304(Krylov)-304(subspace)-303(methods)-304(ar)18(e)-304(available)-304(in)-304(the)-304(module)]TJ/F62 9.9626 Tf 0 -11.955 Td [(psb_krylov_mod)]TJ/F57 9.9626 Tf 73.225 0 Td [(.)]TJ 0 g 0 G 91.158 -568.734 Td [(148)]TJ 0 g 0 G @@ -24460,132 +24532,132 @@ stream 0 g 0 G 0 g 0 G BT -/F51 11.9552 Tf 99.895 706.129 Td [(11.1)-1000(psb)]TJ +/F54 11.9552 Tf 99.895 706.129 Td [(11.1)-1000(psb)]TJ ET q 1 0 0 1 153.407 706.328 cm []0 d 0 J 0.398 w 0 0 m 3.587 0 l S Q BT -/F51 11.9552 Tf 156.993 706.129 Td [(krylov)-250(\227)-250(Krylov)-250(Methods)-250(Driver)-250(Routine)]TJ/F54 9.9626 Tf -57.098 -18.964 Td [(This)-266(subr)18(outine)-266(is)-267(a)-266(driver)-266(that)-267(p)1(r)18(ovides)-267(a)-266(general)-266(interface)-266(for)-267(all)-266(the)-266(Krylov-)]TJ 0 -11.955 Td [(Subspace)-250(family)-250(methods)-250(implemented)-250(in)-250(PSBLAS)-250(version)-250(2.)]TJ 14.944 -11.955 Td [(The)-250(stopping)-250(criterion)-250(can)-250(take)-250(the)-250(following)-250(values:)]TJ +/F54 11.9552 Tf 156.993 706.129 Td [(krylov)-250(\227)-250(Krylov)-250(Methods)-250(Driver)-250(Routine)]TJ/F57 9.9626 Tf -57.098 -18.964 Td [(This)-266(subr)18(outine)-266(is)-267(a)-266(driver)-266(that)-267(p)1(r)18(ovides)-267(a)-266(general)-266(interface)-266(for)-267(all)-266(the)-266(Krylov-)]TJ 0 -11.955 Td [(Subspace)-250(family)-250(methods)-250(implemented)-250(in)-250(PSBLAS)-250(version)-250(2.)]TJ 14.944 -11.955 Td [(The)-250(stopping)-250(criterion)-250(can)-250(take)-250(the)-250(following)-250(values:)]TJ 0 g 0 G -/F51 9.9626 Tf -14.944 -18.774 Td [(1)]TJ +/F54 9.9626 Tf -14.944 -18.774 Td [(1)]TJ 0 g 0 G -/F54 9.9626 Tf 9.963 0 Td [(normwise)-222(backwar)18(d)-221(err)18(or)-222(in)-221(the)-222(in\002nity)-222(norm;)-231(the)-221(iteration)-222(is)-222(stopped)-221(when)]TJ/F52 9.9626 Tf 109.036 -26.864 Td [(e)-15(r)-25(r)]TJ/F85 10.3811 Tf 15.14 0 Td [(=)]TJ/F83 10.3811 Tf 40.62 6.745 Td [(k)]TJ/F52 9.9626 Tf 5.34 0 Td [(r)]TJ/F52 7.5716 Tf 4.041 -1.96 Td [(i)]TJ/F83 10.3811 Tf 2.875 1.96 Td [(k)]TJ +/F57 9.9626 Tf 9.963 0 Td [(normwise)-222(backwar)18(d)-221(err)18(or)-222(in)-221(the)-222(in\002nity)-222(norm;)-231(the)-221(iteration)-222(is)-222(stopped)-221(when)]TJ/F55 9.9626 Tf 109.036 -26.864 Td [(e)-15(r)-25(r)]TJ/F88 10.3811 Tf 15.14 0 Td [(=)]TJ/F86 10.3811 Tf 40.62 6.745 Td [(k)]TJ/F55 9.9626 Tf 5.34 0 Td [(r)]TJ/F55 7.5716 Tf 4.041 -1.96 Td [(i)]TJ/F86 10.3811 Tf 2.875 1.96 Td [(k)]TJ ET q 1 0 0 1 246.191 620.108 cm []0 d 0 J 0.398 w 0 0 m 74.372 0 l S Q BT -/F85 10.3811 Tf 246.316 610.783 Td [(\050)]TJ/F83 10.3811 Tf 4.274 0 Td [(k)]TJ/F52 9.9626 Tf 5.938 0 Td [(A)]TJ/F83 10.3811 Tf 7.442 0 Td [(k)-24(k)]TJ/F52 9.9626 Tf 11.048 0 Td [(x)]TJ/F52 7.5716 Tf 5.147 -1.96 Td [(i)]TJ/F83 10.3811 Tf 2.876 1.96 Td [(k)]TJ/F85 10.3811 Tf 7.376 0 Td [(+)]TJ/F83 10.3811 Tf 10.256 0 Td [(k)]TJ/F52 9.9626 Tf 5.44 0 Td [(b)]TJ/F83 10.3811 Tf 4.861 0 Td [(k)]TJ/F85 10.3811 Tf 5.44 0 Td [(\051)]TJ/F61 10.3811 Tf 8.236 6.834 Td [(<)]TJ/F52 9.9626 Tf 11.087 0 Td [(e)-80(p)-25(s)]TJ +/F88 10.3811 Tf 246.316 610.783 Td [(\050)]TJ/F86 10.3811 Tf 4.274 0 Td [(k)]TJ/F55 9.9626 Tf 5.938 0 Td [(A)]TJ/F86 10.3811 Tf 7.442 0 Td [(k)-24(k)]TJ/F55 9.9626 Tf 11.048 0 Td [(x)]TJ/F55 7.5716 Tf 5.147 -1.96 Td [(i)]TJ/F86 10.3811 Tf 2.876 1.96 Td [(k)]TJ/F88 10.3811 Tf 7.376 0 Td [(+)]TJ/F86 10.3811 Tf 10.256 0 Td [(k)]TJ/F55 9.9626 Tf 5.44 0 Td [(b)]TJ/F86 10.3811 Tf 4.861 0 Td [(k)]TJ/F88 10.3811 Tf 5.44 0 Td [(\051)]TJ/F64 10.3811 Tf 8.236 6.834 Td [(<)]TJ/F55 9.9626 Tf 11.087 0 Td [(e)-80(p)-25(s)]TJ 0 g 0 G -/F51 9.9626 Tf -235.842 -29.908 Td [(2)]TJ +/F54 9.9626 Tf -235.842 -29.908 Td [(2)]TJ 0 g 0 G -/F54 9.9626 Tf 9.963 0 Td [(Relative)-250(r)18(esidual)-250(in)-250(the)-250(2-norm;)-250(the)-250(iteration)-250(is)-250(stopped)-250(when)]TJ/F52 9.9626 Tf 136.209 -26.865 Td [(e)-15(r)-25(r)]TJ/F85 10.3811 Tf 15.141 0 Td [(=)]TJ/F83 10.3811 Tf 13.446 6.745 Td [(k)]TJ/F52 9.9626 Tf 5.34 0 Td [(r)]TJ/F52 7.5716 Tf 4.041 -1.96 Td [(i)]TJ/F83 10.3811 Tf 2.875 1.96 Td [(k)]TJ +/F57 9.9626 Tf 9.963 0 Td [(Relative)-250(r)18(esidual)-250(in)-250(the)-250(2-norm;)-250(the)-250(iteration)-250(is)-250(stopped)-250(when)]TJ/F55 9.9626 Tf 136.209 -26.865 Td [(e)-15(r)-25(r)]TJ/F88 10.3811 Tf 15.141 0 Td [(=)]TJ/F86 10.3811 Tf 13.446 6.745 Td [(k)]TJ/F55 9.9626 Tf 5.34 0 Td [(r)]TJ/F55 7.5716 Tf 4.041 -1.96 Td [(i)]TJ/F86 10.3811 Tf 2.875 1.96 Td [(k)]TJ ET q 1 0 0 1 273.365 563.335 cm []0 d 0 J 0.398 w 0 0 m 20.025 0 l S Q BT -/F83 10.3811 Tf 273.49 554.01 Td [(k)]TJ/F52 9.9626 Tf 5.439 0 Td [(b)]TJ/F83 10.3811 Tf 4.862 0 Td [(k)]TJ/F54 7.5716 Tf 5.315 -1.744 Td [(2)]TJ/F61 10.3811 Tf 8.371 8.578 Td [(<)]TJ/F52 9.9626 Tf 11.086 0 Td [(e)-80(p)-25(s)]TJ +/F86 10.3811 Tf 273.49 554.01 Td [(k)]TJ/F55 9.9626 Tf 5.439 0 Td [(b)]TJ/F86 10.3811 Tf 4.862 0 Td [(k)]TJ/F57 7.5716 Tf 5.315 -1.744 Td [(2)]TJ/F64 10.3811 Tf 8.371 8.578 Td [(<)]TJ/F55 9.9626 Tf 11.086 0 Td [(e)-80(p)-25(s)]TJ 0 g 0 G -/F51 9.9626 Tf -208.668 -29.848 Td [(3)]TJ +/F54 9.9626 Tf -208.668 -29.848 Td [(3)]TJ 0 g 0 G -/F54 9.9626 Tf 9.963 0 Td [(Relative)-250(r)18(esidual)-250(r)18(eduction)-250(in)-250(the)-250(2-norm;)-250(the)-250(iteration)-250(is)-250(stopped)-250(when)]TJ/F52 9.9626 Tf 134.486 -26.865 Td [(e)-15(r)-25(r)]TJ/F85 10.3811 Tf 15.14 0 Td [(=)]TJ/F83 10.3811 Tf 15.17 6.745 Td [(k)]TJ/F52 9.9626 Tf 5.34 0 Td [(r)]TJ/F52 7.5716 Tf 4.041 -1.96 Td [(i)]TJ/F83 10.3811 Tf 2.875 1.96 Td [(k)]TJ +/F57 9.9626 Tf 9.963 0 Td [(Relative)-250(r)18(esidual)-250(r)18(eduction)-250(in)-250(the)-250(2-norm;)-250(the)-250(iteration)-250(is)-250(stopped)-250(when)]TJ/F55 9.9626 Tf 134.486 -26.865 Td [(e)-15(r)-25(r)]TJ/F88 10.3811 Tf 15.14 0 Td [(=)]TJ/F86 10.3811 Tf 15.17 6.745 Td [(k)]TJ/F55 9.9626 Tf 5.34 0 Td [(r)]TJ/F55 7.5716 Tf 4.041 -1.96 Td [(i)]TJ/F86 10.3811 Tf 2.875 1.96 Td [(k)]TJ ET q 1 0 0 1 271.641 506.622 cm []0 d 0 J 0.398 w 0 0 m 23.472 0 l S Q BT -/F83 10.3811 Tf 271.766 497.297 Td [(k)]TJ/F52 9.9626 Tf 5.34 0 Td [(r)]TJ/F54 7.5716 Tf 4 -1.744 Td [(0)]TJ/F83 10.3811 Tf 4.408 1.744 Td [(k)]TJ/F54 7.5716 Tf 5.315 -1.744 Td [(2)]TJ/F61 10.3811 Tf 8.371 8.578 Td [(<)]TJ/F52 9.9626 Tf 11.086 0 Td [(e)-80(p)-25(s)]TJ/F54 9.9626 Tf -210.391 -29.848 Td [(The)-248(behaviour)-248(is)-248(contr)18(olled)-249(by)-248(the)-248(istop)-248(ar)18(gument)-248(\050see)-248(later\051.)-310(In)-248(the)-248(above)-248(for)18(-)]TJ 0 -11.956 Td [(mulae,)]TJ/F52 9.9626 Tf 32.81 0 Td [(x)]TJ/F52 7.5716 Tf 5.147 -1.96 Td [(i)]TJ/F54 9.9626 Tf 5.303 1.96 Td [(is)-256(the)-256(tentative)-257(soluti)1(on)-257(and)]TJ/F52 9.9626 Tf 125.144 0 Td [(r)]TJ/F52 7.5716 Tf 4.042 -1.96 Td [(i)]TJ/F85 10.3811 Tf 5.757 1.96 Td [(=)]TJ/F52 9.9626 Tf 11.2 0 Td [(b)]TJ/F83 10.3811 Tf 6.822 0 Td [(\000)]TJ/F52 9.9626 Tf 10.777 0 Td [(A)-42(x)]TJ/F52 7.5716 Tf 12.759 -1.96 Td [(i)]TJ/F54 9.9626 Tf 5.303 1.96 Td [(the)-256(corr)18(esponding)-256(r)18(esidual)]TJ -225.064 -11.955 Td [(at)-250(the)]TJ/F52 9.9626 Tf 27.083 0 Td [(i)]TJ/F54 9.9626 Tf 2.964 0 Td [(-th)-250(iteration.)]TJ -28.305 -17.357 Td [(c)-175(a)-175(l)-174(l)-880(p)-105(s)-105(b)]TJ +/F86 10.3811 Tf 271.766 497.297 Td [(k)]TJ/F55 9.9626 Tf 5.34 0 Td [(r)]TJ/F57 7.5716 Tf 4 -1.744 Td [(0)]TJ/F86 10.3811 Tf 4.408 1.744 Td [(k)]TJ/F57 7.5716 Tf 5.315 -1.744 Td [(2)]TJ/F64 10.3811 Tf 8.371 8.578 Td [(<)]TJ/F55 9.9626 Tf 11.086 0 Td [(e)-80(p)-25(s)]TJ/F57 9.9626 Tf -210.391 -29.848 Td [(The)-248(behaviour)-248(is)-248(contr)18(olled)-249(by)-248(the)-248(istop)-248(ar)18(gument)-248(\050see)-248(later\051.)-310(In)-248(the)-248(above)-248(for)18(-)]TJ 0 -11.956 Td [(mulae,)]TJ/F55 9.9626 Tf 32.81 0 Td [(x)]TJ/F55 7.5716 Tf 5.147 -1.96 Td [(i)]TJ/F57 9.9626 Tf 5.303 1.96 Td [(is)-256(the)-256(tentative)-257(soluti)1(on)-257(and)]TJ/F55 9.9626 Tf 125.144 0 Td [(r)]TJ/F55 7.5716 Tf 4.042 -1.96 Td [(i)]TJ/F88 10.3811 Tf 5.757 1.96 Td [(=)]TJ/F55 9.9626 Tf 11.2 0 Td [(b)]TJ/F86 10.3811 Tf 6.822 0 Td [(\000)]TJ/F55 9.9626 Tf 10.777 0 Td [(A)-42(x)]TJ/F55 7.5716 Tf 12.759 -1.96 Td [(i)]TJ/F57 9.9626 Tf 5.303 1.96 Td [(the)-256(corr)18(esponding)-256(r)18(esidual)]TJ -225.064 -11.955 Td [(at)-250(the)]TJ/F55 9.9626 Tf 27.083 0 Td [(i)]TJ/F57 9.9626 Tf 2.964 0 Td [(-th)-250(iteration.)]TJ -28.305 -17.357 Td [(c)-175(a)-175(l)-174(l)-880(p)-105(s)-105(b)]TJ ET q 1 0 0 1 150.28 433.215 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 154.313 433.015 Td [(k)-105(r)-105(y)-104(l)-105(o)-105(v)-238(\050)-156(m)-21(e)-22(t)-21(h)-22(o)-22(d)-218(,)-208(a)-242(,)-255(p)-80(r)-81(e)-80(c)-335(,)-191(b)-206(,)-203(x)-231(,)-234(e)-60(p)-59(s)-293(,)-273(d)-98(e)-97(s)-98(c)]TJ +/F57 9.9626 Tf 154.313 433.015 Td [(k)-105(r)-105(y)-104(l)-105(o)-105(v)-238(\050)-156(m)-21(e)-22(t)-21(h)-22(o)-22(d)-218(,)-208(a)-242(,)-255(p)-80(r)-81(e)-80(c)-335(,)-191(b)-206(,)-203(x)-231(,)-234(e)-60(p)-59(s)-293(,)-273(d)-98(e)-97(s)-98(c)]TJ ET q 1 0 0 1 352.02 433.215 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F54 9.9626 Tf 355.983 433.015 Td [(a)-370(,)-283(i)-108(n)-108(f)-108(o)-274(,)-57(&)]TJ -227.086 -11.955 Td [(&)-580(i)-69(t)-69(m)-70(a)-69(x)-313(,)-327(i)-151(t)-152(e)-151(r)-478(,)-281(e)-107(r)-106(r)-387(,)-321(i)-145(t)-146(r)-146(a)-145(c)-146(e)-466(,)-336(i)-161(r)-160(s)-161(t)-496(,)-291(i)-116(s)-116(t)-116(o)-116(p)-407(,)-219(c)-43(o)-43(n)-44(d)-177(\051)]TJ +/F57 9.9626 Tf 355.983 433.015 Td [(a)-370(,)-283(i)-108(n)-108(f)-108(o)-274(,)-57(&)]TJ -227.086 -11.955 Td [(&)-580(i)-69(t)-69(m)-70(a)-69(x)-313(,)-327(i)-151(t)-152(e)-151(r)-478(,)-281(e)-107(r)-106(r)-387(,)-321(i)-145(t)-146(r)-146(a)-145(c)-146(e)-466(,)-336(i)-161(r)-160(s)-161(t)-496(,)-291(i)-116(s)-116(t)-116(o)-116(p)-407(,)-219(c)-43(o)-43(n)-44(d)-177(\051)]TJ 0 g 0 G 0 g 0 G 0 g 0 G -/F51 9.9626 Tf -29.002 -25.88 Td [(T)90(ype:)]TJ +/F54 9.9626 Tf -29.002 -25.88 Td [(T)90(ype:)]TJ 0 g 0 G -/F54 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ +/F57 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ 0 g 0 G -/F51 9.9626 Tf -29.828 -19.349 Td [(On)-250(Entry)]TJ +/F54 9.9626 Tf -29.828 -19.349 Td [(On)-250(Entry)]TJ 0 g 0 G 0 g 0 G 0 -19.349 Td [(method)]TJ 0 g 0 G -/F54 9.9626 Tf 39.851 0 Td [(a)-193(string)-194(that)-193(de\002nes)-194(the)-194(it)1(erative)-194(method)-193(to)-194(be)-194(use)1(d.)-292(Supported)-193(values)]TJ -14.944 -11.956 Td [(ar)18(e:)]TJ +/F57 9.9626 Tf 39.851 0 Td [(a)-193(string)-194(that)-193(de\002nes)-194(the)-194(it)1(erative)-194(method)-193(to)-194(be)-194(use)1(d.)-292(Supported)-193(values)]TJ -14.944 -11.956 Td [(ar)18(e:)]TJ 0 g 0 G -/F51 9.9626 Tf 0 -19.349 Td [(CG:)]TJ +/F54 9.9626 Tf 0 -19.349 Td [(CG:)]TJ 0 g 0 G -/F54 9.9626 Tf 22.964 0 Td [(the)-250(Conjugate)-250(Gradient)-250(method;)]TJ +/F57 9.9626 Tf 22.964 0 Td [(the)-250(Conjugate)-250(Gradient)-250(method;)]TJ 0 g 0 G -/F51 9.9626 Tf -22.964 -15.364 Td [(CGS:)]TJ +/F54 9.9626 Tf -22.964 -15.364 Td [(CGS:)]TJ 0 g 0 G -/F54 9.9626 Tf 29.051 0 Td [(the)-250(Conjugate)-250(Gradient)-250(Stabilized)-250(method;)]TJ +/F57 9.9626 Tf 29.051 0 Td [(the)-250(Conjugate)-250(Gradient)-250(Stabilized)-250(method;)]TJ 0 g 0 G -/F51 9.9626 Tf -29.051 -15.365 Td [(GCR:)]TJ +/F54 9.9626 Tf -29.051 -15.365 Td [(GCR:)]TJ 0 g 0 G -/F54 9.9626 Tf 30.157 0 Td [(the)-250(Generalized)-250(Conjugate)-250(Residual)-250(method;)]TJ +/F57 9.9626 Tf 30.157 0 Td [(the)-250(Generalized)-250(Conjugate)-250(Residual)-250(method;)]TJ 0 g 0 G -/F51 9.9626 Tf -30.157 -15.364 Td [(FCG:)]TJ +/F54 9.9626 Tf -30.157 -15.364 Td [(FCG:)]TJ 0 g 0 G -/F54 9.9626 Tf 28.503 0 Td [(the)-250(Flexible)-250(Conjugate)-250(Gradient)-250(method)]TJ +/F57 9.9626 Tf 28.503 0 Td [(the)-250(Flexible)-250(Conjugate)-250(Gradient)-250(method)]TJ 0 0 1 rg 0 0 1 RG -/F54 7.5716 Tf 176.854 3.616 Td [(5)]TJ +/F57 7.5716 Tf 176.854 3.616 Td [(5)]TJ 0 g 0 G -/F54 9.9626 Tf 4.284 -3.616 Td [(;)]TJ +/F57 9.9626 Tf 4.284 -3.616 Td [(;)]TJ 0 g 0 G -/F51 9.9626 Tf -209.641 -15.364 Td [(BICG:)]TJ +/F54 9.9626 Tf -209.641 -15.364 Td [(BICG:)]TJ 0 g 0 G -/F54 9.9626 Tf 33.484 0 Td [(the)-250(Bi-Conjugate)-250(Gradient)-250(method;)]TJ +/F57 9.9626 Tf 33.484 0 Td [(the)-250(Bi-Conjugate)-250(Gradient)-250(method;)]TJ 0 g 0 G -/F51 9.9626 Tf -33.484 -15.365 Td [(BICGST)92(AB:)]TJ +/F54 9.9626 Tf -33.484 -15.365 Td [(BICGST)92(AB:)]TJ 0 g 0 G -/F54 9.9626 Tf 59.696 0 Td [(the)-250(Bi-Conjugate)-250(Gradient)-250(Stabilized)-250(method;)]TJ +/F57 9.9626 Tf 59.696 0 Td [(the)-250(Bi-Conjugate)-250(Gradient)-250(Stabilized)-250(method;)]TJ 0 g 0 G -/F51 9.9626 Tf -59.696 -15.364 Td [(BICGST)92(ABL:)]TJ +/F54 9.9626 Tf -59.696 -15.364 Td [(BICGST)92(ABL:)]TJ 0 g 0 G -/F54 9.9626 Tf 65.783 0 Td [(the)-218(Bi-Conjugate)-217(Gradient)-218(Stabilized)-218(method)-217(with)-218(r)18(estart-)]TJ -43.865 -11.955 Td [(ing;)]TJ +/F57 9.9626 Tf 65.783 0 Td [(the)-218(Bi-Conjugate)-217(Gradient)-218(Stabilized)-218(method)-217(with)-218(r)18(estart-)]TJ -43.865 -11.955 Td [(ing;)]TJ 0 g 0 G -/F51 9.9626 Tf -21.918 -15.365 Td [(RGMRES:)]TJ +/F54 9.9626 Tf -21.918 -15.365 Td [(RGMRES:)]TJ 0 g 0 G -/F54 9.9626 Tf 52.294 0 Td [(the)-250(Generalized)-250(Minimal)-250(Residual)-250(method)-250(with)-250(r)18(estarting.)]TJ +/F57 9.9626 Tf 52.294 0 Td [(the)-250(Generalized)-250(Minimal)-250(Residual)-250(method)-250(with)-250(r)18(estarting.)]TJ 0 g 0 G -/F51 9.9626 Tf -77.201 -19.349 Td [(a)]TJ +/F54 9.9626 Tf -77.201 -19.349 Td [(a)]TJ 0 g 0 G -/F54 9.9626 Tf 9.963 0 Td [(the)-250(local)-250(portion)-250(of)-250(global)-250(sparse)-250(matrix)]TJ/F52 9.9626 Tf 178.414 0 Td [(A)]TJ/F54 9.9626 Tf 7.317 0 Td [(.)]TJ -170.787 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ +/F57 9.9626 Tf 9.963 0 Td [(the)-250(local)-250(portion)-250(of)-250(global)-250(sparse)-250(matrix)]TJ/F55 9.9626 Tf 178.414 0 Td [(A)]TJ/F57 9.9626 Tf 7.317 0 Td [(.)]TJ -170.787 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 168.138 0 Td [(psb)]TJ +/F62 9.9626 Tf 168.138 0 Td [(psb)]TJ ET q 1 0 0 1 309.258 138.701 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 312.397 138.501 Td [(Tspmat)]TJ +/F62 9.9626 Tf 312.397 138.501 Td [(Tspmat)]TJ ET q 1 0 0 1 344.406 138.701 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 347.544 138.501 Td [(type)]TJ +/F62 9.9626 Tf 347.544 138.501 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf 20.922 0 Td [(.)]TJ +/F57 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G ET q @@ -24593,10 +24665,10 @@ q []0 d 0 J 0.398 w 0 0 m 137.482 0 l S Q BT -/F54 5.9776 Tf 110.755 123.219 Td [(5)]TJ/F54 7.9701 Tf 3.487 -2.893 Td [(Note:)-310(the)-250(implementation)-250(is)-250(for)]TJ/F52 7.9701 Tf 113.297 0 Td [(F)-31(C)-45(G)]TJ/F85 8.3049 Tf 16.387 0 Td [(\050)]TJ/F54 7.9701 Tf 3.319 0 Td [(1)]TJ/F85 8.3049 Tf 4.085 0 Td [(\051)]TJ/F54 7.9701 Tf 3.32 0 Td [(.)]TJ +/F57 5.9776 Tf 110.755 123.219 Td [(5)]TJ/F57 7.9701 Tf 3.487 -2.893 Td [(Note:)-310(the)-250(implementation)-250(is)-250(for)]TJ/F55 7.9701 Tf 113.297 0 Td [(F)-31(C)-45(G)]TJ/F88 8.3049 Tf 16.387 0 Td [(\050)]TJ/F57 7.9701 Tf 3.319 0 Td [(1)]TJ/F88 8.3049 Tf 4.085 0 Td [(\051)]TJ/F57 7.9701 Tf 3.32 0 Td [(.)]TJ 0 g 0 G 0 g 0 G -/F54 9.9626 Tf 9.629 -29.888 Td [(149)]TJ +/F57 9.9626 Tf 9.629 -29.888 Td [(149)]TJ 0 g 0 G ET @@ -24611,130 +24683,130 @@ stream 0 g 0 G 0 g 0 G BT -/F51 9.9626 Tf 150.705 706.129 Td [(prec)]TJ +/F54 9.9626 Tf 150.705 706.129 Td [(prec)]TJ 0 g 0 G -/F54 9.9626 Tf 24.348 0 Td [(The)-250(data)-250(str)8(uctur)18(e)-250(containing)-250(the)-250(pr)18(econditioner)74(.)]TJ 0.558 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(required)]TJ/F54 9.9626 Tf -27.089 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(in)]TJ/F54 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ +/F57 9.9626 Tf 24.348 0 Td [(The)-250(data)-250(str)8(uctur)18(e)-250(containing)-250(the)-250(pr)18(econditioner)74(.)]TJ 0.558 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.089 0 Td [(required)]TJ/F57 9.9626 Tf -27.089 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(in)]TJ/F57 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 168.138 0 Td [(psb)]TJ +/F62 9.9626 Tf 168.138 0 Td [(psb)]TJ ET q 1 0 0 1 360.068 658.507 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 363.206 658.308 Td [(prec)]TJ +/F62 9.9626 Tf 363.206 658.308 Td [(prec)]TJ ET q 1 0 0 1 384.755 658.507 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 387.893 658.308 Td [(type)]TJ +/F62 9.9626 Tf 387.893 658.308 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf 20.922 0 Td [(.)]TJ +/F57 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -258.11 -22.202 Td [(b)]TJ +/F54 9.9626 Tf -258.11 -22.202 Td [(b)]TJ 0 g 0 G -/F54 9.9626 Tf 11.068 0 Td [(The)-250(RHS)-250(vector)74(.)]TJ 13.838 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.956 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(required)]TJ/F54 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(in)]TJ/F54 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(rank)-250(one)-250(array)-250(or)-250(an)-250(object)-250(of)-250(type)]TJ +/F57 9.9626 Tf 11.068 0 Td [(The)-250(RHS)-250(vector)74(.)]TJ 13.838 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.956 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.089 0 Td [(required)]TJ/F57 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(in)]TJ/F57 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(rank)-250(one)-250(array)-250(or)-250(an)-250(object)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 218.688 0 Td [(psb)]TJ +/F62 9.9626 Tf 218.688 0 Td [(psb)]TJ ET q 1 0 0 1 410.618 588.484 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 413.756 588.285 Td [(T)]TJ +/F62 9.9626 Tf 413.756 588.285 Td [(T)]TJ ET q 1 0 0 1 419.614 588.484 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 422.752 588.285 Td [(vect)]TJ +/F62 9.9626 Tf 422.752 588.285 Td [(vect)]TJ ET q 1 0 0 1 444.301 588.484 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 447.439 588.285 Td [(type)]TJ +/F62 9.9626 Tf 447.439 588.285 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf 20.922 0 Td [(.)]TJ +/F57 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -317.656 -22.202 Td [(x)]TJ +/F54 9.9626 Tf -317.656 -22.202 Td [(x)]TJ 0 g 0 G -/F54 9.9626 Tf 9.963 0 Td [(The)-250(initial)-250(guess.)]TJ 14.944 -11.956 Td [(Scope:)]TJ/F51 9.9626 Tf 31.431 0 Td [(local)]TJ/F54 9.9626 Tf -31.431 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(inout)]TJ/F54 9.9626 Tf 24.348 0 Td [(.)]TJ -56.148 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(rank)-250(one)-250(array)-250(or)-250(an)-250(object)-250(of)-250(type)]TJ +/F57 9.9626 Tf 9.963 0 Td [(The)-250(initial)-250(guess.)]TJ 14.944 -11.956 Td [(Scope:)]TJ/F54 9.9626 Tf 31.431 0 Td [(local)]TJ/F57 9.9626 Tf -31.431 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(inout)]TJ/F57 9.9626 Tf 24.348 0 Td [(.)]TJ -56.148 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(rank)-250(one)-250(array)-250(or)-250(an)-250(object)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 218.687 0 Td [(psb)]TJ +/F62 9.9626 Tf 218.687 0 Td [(psb)]TJ ET q 1 0 0 1 410.618 518.461 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 413.756 518.262 Td [(T)]TJ +/F62 9.9626 Tf 413.756 518.262 Td [(T)]TJ ET q 1 0 0 1 419.614 518.461 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 422.752 518.262 Td [(vect)]TJ +/F62 9.9626 Tf 422.752 518.262 Td [(vect)]TJ ET q 1 0 0 1 444.301 518.461 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 447.439 518.262 Td [(type)]TJ +/F62 9.9626 Tf 447.439 518.262 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf 20.922 0 Td [(.)]TJ +/F57 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -317.656 -22.203 Td [(eps)]TJ +/F54 9.9626 Tf -317.656 -22.203 Td [(eps)]TJ 0 g 0 G -/F54 9.9626 Tf 20.473 0 Td [(The)-250(stopping)-250(tolerance.)]TJ 4.433 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(global)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(required)]TJ/F54 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(in)]TJ/F54 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(r)18(eal)-250(number)74(.)]TJ +/F57 9.9626 Tf 20.473 0 Td [(The)-250(stopping)-250(tolerance.)]TJ 4.433 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(global)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.089 0 Td [(required)]TJ/F57 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(in)]TJ/F57 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(r)18(eal)-250(number)74(.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.906 -22.203 Td [(desc)]TJ +/F54 9.9626 Tf -24.906 -22.203 Td [(desc)]TJ ET q 1 0 0 1 171.218 426.236 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F51 9.9626 Tf 174.207 426.036 Td [(a)]TJ +/F54 9.9626 Tf 174.207 426.036 Td [(a)]TJ 0 g 0 G -/F54 9.9626 Tf 9.962 0 Td [(contains)-250(data)-250(str)8(uctur)18(es)-250(for)-250(communications.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(required)]TJ/F54 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(in)]TJ/F54 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ +/F57 9.9626 Tf 9.962 0 Td [(contains)-250(data)-250(str)8(uctur)18(es)-250(for)-250(communications.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.089 0 Td [(required)]TJ/F57 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(in)]TJ/F57 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 168.138 0 Td [(psb)]TJ +/F62 9.9626 Tf 168.138 0 Td [(psb)]TJ ET q 1 0 0 1 360.068 378.415 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 363.206 378.216 Td [(desc)]TJ +/F62 9.9626 Tf 363.206 378.216 Td [(desc)]TJ ET q 1 0 0 1 384.755 378.415 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 387.893 378.216 Td [(type)]TJ +/F62 9.9626 Tf 387.893 378.216 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf 20.922 0 Td [(.)]TJ +/F57 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -258.11 -22.203 Td [(itmax)]TJ +/F54 9.9626 Tf -258.11 -22.203 Td [(itmax)]TJ 0 g 0 G -/F54 9.9626 Tf 30.436 0 Td [(The)-250(maximum)-250(number)-250(of)-250(iterations)-250(to)-250(perform.)]TJ -5.529 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.431 0 Td [(global)]TJ/F54 9.9626 Tf -31.431 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(optional)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Default:)]TJ/F52 9.9626 Tf 38.569 0 Td [(i)-32(t)-25(m)-40(a)-42(x)]TJ/F85 10.3811 Tf 27.744 0 Td [(=)]TJ/F54 9.9626 Tf 10.961 0 Td [(1000.)]TJ -77.274 -11.956 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(variable)]TJ/F52 9.9626 Tf 142.349 0 Td [(i)-32(t)-25(m)-40(a)-42(x)]TJ/F83 10.3811 Tf 27.743 0 Td [(\025)]TJ/F54 9.9626 Tf 10.962 0 Td [(1.)]TJ +/F57 9.9626 Tf 30.436 0 Td [(The)-250(maximum)-250(number)-250(of)-250(iterations)-250(to)-250(perform.)]TJ -5.529 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.431 0 Td [(global)]TJ/F57 9.9626 Tf -31.431 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(optional)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Default:)]TJ/F55 9.9626 Tf 38.569 0 Td [(i)-32(t)-25(m)-40(a)-42(x)]TJ/F88 10.3811 Tf 27.744 0 Td [(=)]TJ/F57 9.9626 Tf 10.961 0 Td [(1000.)]TJ -77.274 -11.956 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(variable)]TJ/F55 9.9626 Tf 142.349 0 Td [(i)-32(t)-25(m)-40(a)-42(x)]TJ/F86 10.3811 Tf 27.743 0 Td [(\025)]TJ/F57 9.9626 Tf 10.962 0 Td [(1.)]TJ 0 g 0 G -/F51 9.9626 Tf -205.961 -22.202 Td [(itrace)]TJ +/F54 9.9626 Tf -205.961 -22.202 Td [(itrace)]TJ 0 g 0 G -/F54 9.9626 Tf 29.878 0 Td [(If)]TJ/F61 10.3811 Tf 11.007 0 Td [(>)]TJ/F54 9.9626 Tf 14.142 0 Td [(0)-422(print)-423(out)-422(an)-422(informational)-423(message)-422(about)-422(conver)18(gence)-423(every)]TJ/F52 9.9626 Tf -30.066 -11.955 Td [(i)-32(t)-15(r)-50(a)-25(c)-25(e)]TJ/F54 9.9626 Tf 26.396 0 Td [(iterations.)-310(If)]TJ/F85 10.3811 Tf 56.313 0 Td [(=)]TJ/F54 9.9626 Tf 10.961 0 Td [(0)-250(print)-250(a)-250(message)-250(in)-250(case)-250(of)-250(conver)18(gence)-250(failur)18(e.)]TJ -93.724 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.431 0 Td [(global)]TJ/F54 9.9626 Tf -31.431 -11.956 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(optional)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Default:)]TJ/F52 9.9626 Tf 38.57 0 Td [(i)-32(t)-15(r)-50(a)-25(c)-25(e)]TJ/F85 10.3811 Tf 26.796 0 Td [(=)]TJ/F83 10.3811 Tf 11.086 0 Td [(\000)]TJ/F54 9.9626 Tf 8.194 0 Td [(1.)]TJ +/F57 9.9626 Tf 29.878 0 Td [(If)]TJ/F64 10.3811 Tf 11.007 0 Td [(>)]TJ/F57 9.9626 Tf 14.142 0 Td [(0)-422(print)-423(out)-422(an)-422(informational)-423(message)-422(about)-422(conver)18(gence)-423(every)]TJ/F55 9.9626 Tf -30.066 -11.955 Td [(i)-32(t)-15(r)-50(a)-25(c)-25(e)]TJ/F57 9.9626 Tf 26.396 0 Td [(iterations.)-310(If)]TJ/F88 10.3811 Tf 56.313 0 Td [(=)]TJ/F57 9.9626 Tf 10.961 0 Td [(0)-250(print)-250(a)-250(message)-250(in)-250(case)-250(of)-250(conver)18(gence)-250(failur)18(e.)]TJ -93.724 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.431 0 Td [(global)]TJ/F57 9.9626 Tf -31.431 -11.956 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(optional)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Default:)]TJ/F55 9.9626 Tf 38.57 0 Td [(i)-32(t)-15(r)-50(a)-25(c)-25(e)]TJ/F88 10.3811 Tf 26.796 0 Td [(=)]TJ/F86 10.3811 Tf 11.086 0 Td [(\000)]TJ/F57 9.9626 Tf 8.194 0 Td [(1.)]TJ 0 g 0 G -/F51 9.9626 Tf -109.553 -34.158 Td [(irst)]TJ +/F54 9.9626 Tf -109.553 -34.158 Td [(irst)]TJ 0 g 0 G -/F54 9.9626 Tf 19.915 0 Td [(An)-250(integer)-250(specifying)-250(the)-250(r)18(estart)-250(parameter)74(.)]TJ 4.992 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.431 0 Td [(global)]TJ/F54 9.9626 Tf -31.431 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(optional)]TJ/F54 9.9626 Tf 38.186 0 Td [(.)]TJ -65.274 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(V)92(alues:)]TJ/F52 9.9626 Tf 34.613 0 Td [(i)-22(r)-35(s)-25(t)]TJ/F61 10.3811 Tf 17.671 0 Td [(>)]TJ/F54 9.9626 Tf 10.961 0 Td [(0.)-298(This)-214(is)-213(employed)-214(for)-213(the)-214(BiCGST)74(ABL)-214(or)-213(RGMRES)-214(meth-)]TJ -63.245 -11.955 Td [(ods,)-250(otherwise)-250(it)-250(is)-250(ignor)18(ed.)]TJ +/F57 9.9626 Tf 19.915 0 Td [(An)-250(integer)-250(specifying)-250(the)-250(r)18(estart)-250(parameter)74(.)]TJ 4.992 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.431 0 Td [(global)]TJ/F57 9.9626 Tf -31.431 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(optional)]TJ/F57 9.9626 Tf 38.186 0 Td [(.)]TJ -65.274 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(V)92(alues:)]TJ/F55 9.9626 Tf 34.613 0 Td [(i)-22(r)-35(s)-25(t)]TJ/F64 10.3811 Tf 17.671 0 Td [(>)]TJ/F57 9.9626 Tf 10.961 0 Td [(0.)-298(This)-214(is)-213(employed)-214(for)-213(the)-214(BiCGST)74(ABL)-214(or)-213(RGMRES)-214(meth-)]TJ -63.245 -11.955 Td [(ods,)-250(otherwise)-250(it)-250(is)-250(ignor)18(ed.)]TJ 0 g 0 G 139.477 -29.888 Td [(150)]TJ 0 g 0 G @@ -24751,57 +24823,57 @@ stream 0 g 0 G 0 g 0 G BT -/F51 9.9626 Tf 99.895 706.129 Td [(istop)]TJ +/F54 9.9626 Tf 99.895 706.129 Td [(istop)]TJ 0 g 0 G -/F54 9.9626 Tf 27.666 0 Td [(An)-250(integer)-250(specifying)-250(the)-250(stopping)-250(criterion.)]TJ -2.759 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(global)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(optional)]TJ/F54 9.9626 Tf 38.187 0 Td [(.)]TJ -65.275 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(V)92(alues:)-351(1:)-351(use)-271(the)-270(normwise)-271(backwar)18(d)-270(err)18(or)74(,)-276(2:)-351(use)-271(the)-270(scaled)-271(2-norm)-270(of)]TJ 0 -11.955 Td [(the)-250(r)18(esidual,)-250(3:)-310(use)-250(the)-250(r)18(esidual)-250(r)18(eduction)-250(in)-250(the)-250(2-norm.)-310(Default:)-310(2.)]TJ +/F57 9.9626 Tf 27.666 0 Td [(An)-250(integer)-250(specifying)-250(the)-250(stopping)-250(criterion.)]TJ -2.759 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(global)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(optional)]TJ/F57 9.9626 Tf 38.187 0 Td [(.)]TJ -65.275 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(V)92(alues:)-351(1:)-351(use)-271(the)-270(normwise)-271(backwar)18(d)-270(err)18(or)74(,)-276(2:)-351(use)-271(the)-270(scaled)-271(2-norm)-270(of)]TJ 0 -11.955 Td [(the)-250(r)18(esidual,)-250(3:)-310(use)-250(the)-250(r)18(esidual)-250(r)18(eduction)-250(in)-250(the)-250(2-norm.)-310(Default:)-310(2.)]TJ 0 g 0 G -/F51 9.9626 Tf -24.907 -19.925 Td [(On)-250(Return)]TJ +/F54 9.9626 Tf -24.907 -19.925 Td [(On)-250(Return)]TJ 0 g 0 G 0 g 0 G 0 -19.926 Td [(x)]TJ 0 g 0 G -/F54 9.9626 Tf 9.963 0 Td [(The)-250(computed)-250(solution.)]TJ 14.944 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(inout)]TJ/F54 9.9626 Tf 24.349 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(rank)-250(one)-250(array)-250(or)-250(an)-250(object)-250(of)-250(type)]TJ +/F57 9.9626 Tf 9.963 0 Td [(The)-250(computed)-250(solution.)]TJ 14.944 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(inout)]TJ/F57 9.9626 Tf 24.349 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(rank)-250(one)-250(array)-250(or)-250(an)-250(object)-250(of)-250(type)]TJ 0 0 1 rg 0 0 1 RG -/F59 9.9626 Tf 218.688 0 Td [(psb)]TJ +/F62 9.9626 Tf 218.688 0 Td [(psb)]TJ ET q 1 0 0 1 359.808 558.881 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 362.947 558.682 Td [(T)]TJ +/F62 9.9626 Tf 362.947 558.682 Td [(T)]TJ ET q 1 0 0 1 368.804 558.881 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 371.943 558.682 Td [(vect)]TJ +/F62 9.9626 Tf 371.943 558.682 Td [(vect)]TJ ET q 1 0 0 1 393.492 558.881 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F59 9.9626 Tf 396.63 558.682 Td [(type)]TJ +/F62 9.9626 Tf 396.63 558.682 Td [(type)]TJ 0 g 0 G -/F54 9.9626 Tf 20.921 0 Td [(.)]TJ +/F57 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F51 9.9626 Tf -317.656 -19.925 Td [(iter)]TJ +/F54 9.9626 Tf -317.656 -19.925 Td [(iter)]TJ 0 g 0 G -/F54 9.9626 Tf 20.473 0 Td [(The)-250(number)-250(of)-250(iterations)-250(performed.)]TJ 4.434 -11.956 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(global)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(optional)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td 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1982 0 R 1983 0 R] +/Kids [1991 0 R 1992 0 R 1993 0 R 1994 0 R 1995 0 R 1996 0 R] /Limits [(page.116) (page.148)] >> -% 2038 0 obj +% 2051 0 obj << -/Kids [1984 0 R 1985 0 R 1986 0 R 1987 0 R 1988 0 R 1989 0 R] +/Kids [1997 0 R 1998 0 R 1999 0 R 2000 0 R 2001 0 R 2002 0 R] /Limits [(page.149) (page.41)] >> -% 2039 0 obj +% 2052 0 obj << -/Kids [1990 0 R 1991 0 R 1992 0 R 1993 0 R 1994 0 R 1995 0 R] +/Kids [2003 0 R 2004 0 R 2005 0 R 2006 0 R 2007 0 R 2008 0 R] /Limits [(page.42) (page.74)] >> -% 2040 0 obj +% 2053 0 obj << -/Kids [1996 0 R 1997 0 R 1998 0 R 1999 0 R 2000 0 R 2001 0 R] +/Kids [2009 0 R 2010 0 R 2011 0 R 2012 0 R 2013 0 R 2014 0 R] /Limits [(page.75) (section.10)] >> -% 2041 0 obj +% 2054 0 obj << -/Kids [2002 0 R 2003 0 R 2005 0 R 2006 0 R 2007 0 R 2008 0 R] +/Kids [2015 0 R 2016 0 R 2018 0 R 2019 0 R 2020 0 R 2021 0 R] /Limits [(section.11) (subsection.4.2)] >> -% 2042 0 obj +% 2055 0 obj << -/Kids [2009 0 R 2010 0 R 2011 0 R 2012 0 R 2013 0 R 2014 0 R] +/Kids [2022 0 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_*#›ý_+#¬Z_,#¼_-$·_.${©_/$Ȇ$̲$Ó$ÙT$àM$èŒ$îÐ$õ$ûN$þà%v% (%Ú_Y_Z_[_\_]_^__%Wî%~[¢'¢(¢)¢*¢+¢,¢-¢.¢/¢0¢1¢2¢3¢4¢5¢6¢7¢8¢9¢:¢;¢<¢=¢>¢?¢@¢A¢B¢C¢D¢E¢F¢G¢H¢I¢J¢K¢L¢M¢N¢O¢P¢Q¢R¢S¢T¢U¢V¢W¢X¢Y¢Z¢[¢\¢]¢^¢_¢`¢a¢b¢cá%¼ááááááááá á +á á á ááááááááááááááááááá á!á"á#á$á%á&á'á(á)á*á+á,á-á.á/%º^%ß endstream endobj startxref -2430103 +2482077 %%EOF diff --git a/docs/src/util.tex b/docs/src/util.tex index a321f796..8428438a 100644 --- a/docs/src/util.tex +++ b/docs/src/util.tex @@ -206,6 +206,54 @@ Type: {\bf required} \\ An integer value; 0 means no error has been detected. \end{description} +{\par\noindent\large\bfseries Notes} + +If this function is called on a matrix \lstinline|a| on a distributed communicator +only the local part is written in output. To get a single MatrixMarket file with +the whole matrix when appropriate, e.g. for debugging purposes, one could \emph{gather} +the whole matrix on a single rank and then write it. Consider the following example +for a \emph{double} precision matrix\vspace{-0.5em} +\ifpdf +\begin{minted}[breaklines=true,bgcolor=bg,fontsize=\small]{fortran} +type(psb_ldspmat_type) :: aglobal + +call psb_gather(aglobal,a,desc_a,info) +if (iam == psb_root_) then + call mm_mat_write(aglobal,mtitle,info,filename) +end if +call psb_spfree(aglobal, desc_a, info) +\end{minted} +\else +\begin{center} +\begin{minipage}[tl]{0.9\textwidth} +\begin{verbatim} +type(psb_ldspmat_type) :: aglobal + +call psb_gather(aglobal,a,desc_a,info) +if (iam == psb_root_) then +call mm_mat_write(aglobal,mtitle,info,filename) +end if +call psb_spfree(aglobal, desc_a, info) +\end{verbatim} +\end{minipage} +\end{center} +\fi +To simplify this procedure in \verb|C|, there is a utility function\vspace{-0.5em} +\ifpdf +\begin{minted}[breaklines=true,bgcolor=bg,fontsize=\small]{c} +psb_i_t psb_c_global_mat_write(ah,cdh); +\end{minted} +\else +\begin{center} +\begin{minipage}[tl]{0.9\textwidth} +\begin{verbatim} +psb_i_t psb_c_global_mat_write(ah,cdh); +\end{verbatim} +\end{minipage} +\end{center} +\fi +that produces exactly this result. + \clearpage\subsection{mm\_array\_write --- Write a dense array from a file in the MatrixMarket format} From 3a2a29c9156f37a5f7652eb8c837a21183b121eb Mon Sep 17 00:00:00 2001 From: Salvatore Filippone Date: Wed, 30 Mar 2022 09:47:56 -0400 Subject: [PATCH 13/28] First round of changes for remote vector --- base/modules/serial/psb_c_mat_mod.F90 | 21 +++ base/modules/serial/psb_c_vect_mod.F90 | 44 ++++- base/modules/serial/psb_d_mat_mod.F90 | 21 +++ base/modules/serial/psb_d_vect_mod.F90 | 44 ++++- base/modules/serial/psb_i_vect_mod.F90 | 44 ++++- base/modules/serial/psb_l_vect_mod.F90 | 44 ++++- base/modules/serial/psb_s_mat_mod.F90 | 21 +++ base/modules/serial/psb_s_vect_mod.F90 | 44 ++++- base/modules/serial/psb_z_mat_mod.F90 | 21 +++ base/modules/serial/psb_z_vect_mod.F90 | 44 ++++- base/modules/tools/psb_c_tools_mod.F90 | 20 ++- base/modules/tools/psb_d_tools_mod.F90 | 20 ++- base/modules/tools/psb_i_tools_mod.F90 | 3 +- base/modules/tools/psb_l_tools_mod.F90 | 3 +- base/modules/tools/psb_s_tools_mod.F90 | 20 ++- base/modules/tools/psb_z_tools_mod.F90 | 20 ++- base/tools/psb_c_remote_mat.F90 | 222 ++++++++++++++++++++++++- base/tools/psb_casb.f90 | 11 +- base/tools/psb_cins.f90 | 1 - base/tools/psb_cspalloc.f90 | 32 ++-- base/tools/psb_cspasb.f90 | 43 ++++- base/tools/psb_cspins.F90 | 21 +-- base/tools/psb_d_remote_mat.F90 | 222 ++++++++++++++++++++++++- base/tools/psb_dasb.f90 | 11 +- base/tools/psb_dins.f90 | 1 - base/tools/psb_dspalloc.f90 | 32 ++-- base/tools/psb_dspasb.f90 | 43 ++++- base/tools/psb_dspins.F90 | 21 +-- base/tools/psb_iasb.f90 | 11 +- base/tools/psb_iins.f90 | 1 - base/tools/psb_lasb.f90 | 11 +- base/tools/psb_lins.f90 | 1 - base/tools/psb_s_remote_mat.F90 | 222 ++++++++++++++++++++++++- base/tools/psb_sasb.f90 | 11 +- base/tools/psb_sins.f90 | 1 - base/tools/psb_sspalloc.f90 | 32 ++-- base/tools/psb_sspasb.f90 | 43 ++++- base/tools/psb_sspins.F90 | 21 +-- base/tools/psb_z_remote_mat.F90 | 222 ++++++++++++++++++++++++- base/tools/psb_zasb.f90 | 11 +- base/tools/psb_zins.f90 | 1 - base/tools/psb_zspalloc.f90 | 32 ++-- base/tools/psb_zspasb.f90 | 43 ++++- base/tools/psb_zspins.F90 | 21 +-- 44 files changed, 1538 insertions(+), 240 deletions(-) diff --git a/base/modules/serial/psb_c_mat_mod.F90 b/base/modules/serial/psb_c_mat_mod.F90 index e3e8ab69..5375ab18 100644 --- a/base/modules/serial/psb_c_mat_mod.F90 +++ b/base/modules/serial/psb_c_mat_mod.F90 @@ -111,6 +111,8 @@ module psb_c_mat_mod procedure, pass(a) :: is_repeatable_updates => psb_c_is_repeatable_updates procedure, pass(a) :: get_fmt => psb_c_get_fmt procedure, pass(a) :: sizeof => psb_c_sizeof + procedure, pass(a) :: is_remote_build => psb_c_is_remote_build + ! Setters procedure, pass(a) :: set_nrows => psb_c_set_nrows @@ -127,6 +129,7 @@ module psb_c_mat_mod procedure, pass(a) :: set_symmetric => psb_c_set_symmetric procedure, pass(a) :: set_unit => psb_c_set_unit procedure, pass(a) :: set_repeatable_updates => psb_c_set_repeatable_updates + procedure, pass(a) :: set_remote_build => psb_c_set_remote_build ! Memory/data management procedure, pass(a) :: csall => psb_c_csall @@ -2294,7 +2297,25 @@ contains end function c_mat_is_sync + function psb_c_is_remote_build(a) result(res) + implicit none + class(psb_cspmat_type), intent(in) :: a + logical :: res + res = (a%remote_build == psb_matbld_remote_) + end function psb_c_is_remote_build + subroutine psb_c_set_remote_build(a,val) + implicit none + class(psb_cspmat_type), intent(inout) :: a + integer(psb_ipk_), intent(in), optional :: val + + if (present(val)) then + a%remote_build = val + else + a%remote_build = psb_matbld_remote_ + end if + end subroutine psb_c_set_remote_build + function psb_c_is_repeatable_updates(a) result(res) implicit none class(psb_cspmat_type), intent(in) :: a diff --git a/base/modules/serial/psb_c_vect_mod.F90 b/base/modules/serial/psb_c_vect_mod.F90 index 0edb7245..2166cf13 100644 --- a/base/modules/serial/psb_c_vect_mod.F90 +++ b/base/modules/serial/psb_c_vect_mod.F90 @@ -44,10 +44,16 @@ module psb_c_vect_mod type psb_c_vect_type class(psb_c_base_vect_type), allocatable :: v + integer(psb_ipk_) :: nrmv = 0 + integer(psb_ipk_) :: remote_build=psb_matbld_noremote_ + complex(psb_spk_), allocatable :: rmtv(:) + integer(psb_lpk_), allocatable :: rmidx(:) contains procedure, pass(x) :: get_nrows => c_vect_get_nrows procedure, pass(x) :: sizeof => c_vect_sizeof procedure, pass(x) :: get_fmt => c_vect_get_fmt + procedure, pass(x) :: is_remote_build => psb_c_is_remote_build + procedure, pass(x) :: set_remote_build => psb_c_set_remote_build procedure, pass(x) :: all => c_vect_all procedure, pass(x) :: reall => c_vect_reall procedure, pass(x) :: zero => c_vect_zero @@ -168,6 +174,25 @@ module psb_c_vect_mod contains + function psb_c_is_remote_build(x) result(res) + implicit none + class(psb_c_vect_type), intent(in) :: x + logical :: res + res = (x%remote_build == psb_matbld_remote_) + end function psb_c_is_remote_build + + subroutine psb_c_set_remote_build(x,val) + implicit none + class(psb_c_vect_type), intent(inout) :: x + integer(psb_ipk_), intent(in), optional :: val + + if (present(val)) then + x%remote_build = val + else + x%remote_build = psb_matbld_remote_ + end if + end subroutine psb_c_set_remote_build + subroutine psb_c_set_vect_default(v) implicit none class(psb_c_base_vect_type), intent(in) :: v @@ -360,13 +385,14 @@ contains if (allocated(x%v)) res = x%v%get_fmt() end function c_vect_get_fmt - subroutine c_vect_all(n, x, info, mold) + subroutine c_vect_all(n, x, info, mold,mode) implicit none integer(psb_ipk_), intent(in) :: n class(psb_c_vect_type), intent(inout) :: x - class(psb_c_base_vect_type), intent(in), optional :: mold integer(psb_ipk_), intent(out) :: info + class(psb_c_base_vect_type), intent(in), optional :: mold + integer(psb_ipk_), intent(in), optional :: mode if (allocated(x%v)) & & call x%free(info) @@ -381,7 +407,9 @@ contains else info = psb_err_alloc_dealloc_ end if - + x%nrmv = 0 + x%remote_build = psb_matbld_noremote_ + if (present(mode)) call x%set_remote_build(mode) end subroutine c_vect_all subroutine c_vect_reall(n, x, info) @@ -412,13 +440,13 @@ contains use psi_serial_mod use psb_realloc_mod implicit none - integer(psb_ipk_), intent(in) :: n + integer(psb_ipk_), intent(in) :: n class(psb_c_vect_type), intent(inout) :: x - integer(psb_ipk_), intent(out) :: info - - if (allocated(x%v)) & - & call x%v%asb(n,info) + integer(psb_ipk_), intent(out) :: info + if (allocated(x%v)) then + call x%v%asb(n,info) + end if end subroutine c_vect_asb subroutine c_vect_gthab(n,idx,alpha,x,beta,y) diff --git a/base/modules/serial/psb_d_mat_mod.F90 b/base/modules/serial/psb_d_mat_mod.F90 index a072197e..f9a70a66 100644 --- a/base/modules/serial/psb_d_mat_mod.F90 +++ b/base/modules/serial/psb_d_mat_mod.F90 @@ -111,6 +111,8 @@ module psb_d_mat_mod procedure, pass(a) :: is_repeatable_updates => psb_d_is_repeatable_updates procedure, pass(a) :: get_fmt => psb_d_get_fmt procedure, pass(a) :: sizeof => psb_d_sizeof + procedure, pass(a) :: is_remote_build => psb_d_is_remote_build + ! Setters procedure, pass(a) :: set_nrows => psb_d_set_nrows @@ -127,6 +129,7 @@ module psb_d_mat_mod procedure, pass(a) :: set_symmetric => psb_d_set_symmetric procedure, pass(a) :: set_unit => psb_d_set_unit procedure, pass(a) :: set_repeatable_updates => psb_d_set_repeatable_updates + procedure, pass(a) :: set_remote_build => psb_d_set_remote_build ! Memory/data management procedure, pass(a) :: csall => psb_d_csall @@ -2294,7 +2297,25 @@ contains end function d_mat_is_sync + function psb_d_is_remote_build(a) result(res) + implicit none + class(psb_dspmat_type), intent(in) :: a + logical :: res + res = (a%remote_build == psb_matbld_remote_) + end function psb_d_is_remote_build + subroutine psb_d_set_remote_build(a,val) + implicit none + class(psb_dspmat_type), intent(inout) :: a + integer(psb_ipk_), intent(in), optional :: val + + if (present(val)) then + a%remote_build = val + else + a%remote_build = psb_matbld_remote_ + end if + end subroutine psb_d_set_remote_build + function psb_d_is_repeatable_updates(a) result(res) implicit none class(psb_dspmat_type), intent(in) :: a diff --git a/base/modules/serial/psb_d_vect_mod.F90 b/base/modules/serial/psb_d_vect_mod.F90 index ec928584..b419ae6a 100644 --- a/base/modules/serial/psb_d_vect_mod.F90 +++ b/base/modules/serial/psb_d_vect_mod.F90 @@ -44,10 +44,16 @@ module psb_d_vect_mod type psb_d_vect_type class(psb_d_base_vect_type), allocatable :: v + integer(psb_ipk_) :: nrmv = 0 + integer(psb_ipk_) :: remote_build=psb_matbld_noremote_ + real(psb_dpk_), allocatable :: rmtv(:) + integer(psb_lpk_), allocatable :: rmidx(:) contains procedure, pass(x) :: get_nrows => d_vect_get_nrows procedure, pass(x) :: sizeof => d_vect_sizeof procedure, pass(x) :: get_fmt => d_vect_get_fmt + procedure, pass(x) :: is_remote_build => psb_d_is_remote_build + procedure, pass(x) :: set_remote_build => psb_d_set_remote_build procedure, pass(x) :: all => d_vect_all procedure, pass(x) :: reall => d_vect_reall procedure, pass(x) :: zero => d_vect_zero @@ -175,6 +181,25 @@ module psb_d_vect_mod contains + function psb_d_is_remote_build(x) result(res) + implicit none + class(psb_d_vect_type), intent(in) :: x + logical :: res + res = (x%remote_build == psb_matbld_remote_) + end function psb_d_is_remote_build + + subroutine psb_d_set_remote_build(x,val) + implicit none + class(psb_d_vect_type), intent(inout) :: x + integer(psb_ipk_), intent(in), optional :: val + + if (present(val)) then + x%remote_build = val + else + x%remote_build = psb_matbld_remote_ + end if + end subroutine psb_d_set_remote_build + subroutine psb_d_set_vect_default(v) implicit none class(psb_d_base_vect_type), intent(in) :: v @@ -367,13 +392,14 @@ contains if (allocated(x%v)) res = x%v%get_fmt() end function d_vect_get_fmt - subroutine d_vect_all(n, x, info, mold) + subroutine d_vect_all(n, x, info, mold,mode) implicit none integer(psb_ipk_), intent(in) :: n class(psb_d_vect_type), intent(inout) :: x - class(psb_d_base_vect_type), intent(in), optional :: mold integer(psb_ipk_), intent(out) :: info + class(psb_d_base_vect_type), intent(in), optional :: mold + integer(psb_ipk_), intent(in), optional :: mode if (allocated(x%v)) & & call x%free(info) @@ -388,7 +414,9 @@ contains else info = psb_err_alloc_dealloc_ end if - + x%nrmv = 0 + x%remote_build = psb_matbld_noremote_ + if (present(mode)) call x%set_remote_build(mode) end subroutine d_vect_all subroutine d_vect_reall(n, x, info) @@ -419,13 +447,13 @@ contains use psi_serial_mod use psb_realloc_mod implicit none - integer(psb_ipk_), intent(in) :: n + integer(psb_ipk_), intent(in) :: n class(psb_d_vect_type), intent(inout) :: x - integer(psb_ipk_), intent(out) :: info - - if (allocated(x%v)) & - & call x%v%asb(n,info) + integer(psb_ipk_), intent(out) :: info + if (allocated(x%v)) then + call x%v%asb(n,info) + end if end subroutine d_vect_asb subroutine d_vect_gthab(n,idx,alpha,x,beta,y) diff --git a/base/modules/serial/psb_i_vect_mod.F90 b/base/modules/serial/psb_i_vect_mod.F90 index 75064b81..6cebf62a 100644 --- a/base/modules/serial/psb_i_vect_mod.F90 +++ b/base/modules/serial/psb_i_vect_mod.F90 @@ -43,10 +43,16 @@ module psb_i_vect_mod type psb_i_vect_type class(psb_i_base_vect_type), allocatable :: v + integer(psb_ipk_) :: nrmv = 0 + integer(psb_ipk_) :: remote_build=psb_matbld_noremote_ + integer(psb_ipk_), allocatable :: rmtv(:) + integer(psb_lpk_), allocatable :: rmidx(:) contains procedure, pass(x) :: get_nrows => i_vect_get_nrows procedure, pass(x) :: sizeof => i_vect_sizeof procedure, pass(x) :: get_fmt => i_vect_get_fmt + procedure, pass(x) :: is_remote_build => psb_i_is_remote_build + procedure, pass(x) :: set_remote_build => psb_i_set_remote_build procedure, pass(x) :: all => i_vect_all procedure, pass(x) :: reall => i_vect_reall procedure, pass(x) :: zero => i_vect_zero @@ -115,6 +121,25 @@ module psb_i_vect_mod contains + function psb_i_is_remote_build(x) result(res) + implicit none + class(psb_i_vect_type), intent(in) :: x + logical :: res + res = (x%remote_build == psb_matbld_remote_) + end function psb_i_is_remote_build + + subroutine psb_i_set_remote_build(x,val) + implicit none + class(psb_i_vect_type), intent(inout) :: x + integer(psb_ipk_), intent(in), optional :: val + + if (present(val)) then + x%remote_build = val + else + x%remote_build = psb_matbld_remote_ + end if + end subroutine psb_i_set_remote_build + subroutine psb_i_set_vect_default(v) implicit none class(psb_i_base_vect_type), intent(in) :: v @@ -307,13 +332,14 @@ contains if (allocated(x%v)) res = x%v%get_fmt() end function i_vect_get_fmt - subroutine i_vect_all(n, x, info, mold) + subroutine i_vect_all(n, x, info, mold,mode) implicit none integer(psb_ipk_), intent(in) :: n class(psb_i_vect_type), intent(inout) :: x - class(psb_i_base_vect_type), intent(in), optional :: mold integer(psb_ipk_), intent(out) :: info + class(psb_i_base_vect_type), intent(in), optional :: mold + integer(psb_ipk_), intent(in), optional :: mode if (allocated(x%v)) & & call x%free(info) @@ -328,7 +354,9 @@ contains else info = psb_err_alloc_dealloc_ end if - + x%nrmv = 0 + x%remote_build = psb_matbld_noremote_ + if (present(mode)) call x%set_remote_build(mode) end subroutine i_vect_all subroutine i_vect_reall(n, x, info) @@ -359,13 +387,13 @@ contains use psi_serial_mod use psb_realloc_mod implicit none - integer(psb_ipk_), intent(in) :: n + integer(psb_ipk_), intent(in) :: n class(psb_i_vect_type), intent(inout) :: x - integer(psb_ipk_), intent(out) :: info - - if (allocated(x%v)) & - & call x%v%asb(n,info) + integer(psb_ipk_), intent(out) :: info + if (allocated(x%v)) then + call x%v%asb(n,info) + end if end subroutine i_vect_asb subroutine i_vect_gthab(n,idx,alpha,x,beta,y) diff --git a/base/modules/serial/psb_l_vect_mod.F90 b/base/modules/serial/psb_l_vect_mod.F90 index 3c86f8a2..df5691f4 100644 --- a/base/modules/serial/psb_l_vect_mod.F90 +++ b/base/modules/serial/psb_l_vect_mod.F90 @@ -44,10 +44,16 @@ module psb_l_vect_mod type psb_l_vect_type class(psb_l_base_vect_type), allocatable :: v + integer(psb_ipk_) :: nrmv = 0 + integer(psb_ipk_) :: remote_build=psb_matbld_noremote_ + integer(psb_lpk_), allocatable :: rmtv(:) + integer(psb_lpk_), allocatable :: rmidx(:) contains procedure, pass(x) :: get_nrows => l_vect_get_nrows procedure, pass(x) :: sizeof => l_vect_sizeof procedure, pass(x) :: get_fmt => l_vect_get_fmt + procedure, pass(x) :: is_remote_build => psb_l_is_remote_build + procedure, pass(x) :: set_remote_build => psb_l_set_remote_build procedure, pass(x) :: all => l_vect_all procedure, pass(x) :: reall => l_vect_reall procedure, pass(x) :: zero => l_vect_zero @@ -116,6 +122,25 @@ module psb_l_vect_mod contains + function psb_l_is_remote_build(x) result(res) + implicit none + class(psb_l_vect_type), intent(in) :: x + logical :: res + res = (x%remote_build == psb_matbld_remote_) + end function psb_l_is_remote_build + + subroutine psb_l_set_remote_build(x,val) + implicit none + class(psb_l_vect_type), intent(inout) :: x + integer(psb_ipk_), intent(in), optional :: val + + if (present(val)) then + x%remote_build = val + else + x%remote_build = psb_matbld_remote_ + end if + end subroutine psb_l_set_remote_build + subroutine psb_l_set_vect_default(v) implicit none class(psb_l_base_vect_type), intent(in) :: v @@ -308,13 +333,14 @@ contains if (allocated(x%v)) res = x%v%get_fmt() end function l_vect_get_fmt - subroutine l_vect_all(n, x, info, mold) + subroutine l_vect_all(n, x, info, mold,mode) implicit none integer(psb_ipk_), intent(in) :: n class(psb_l_vect_type), intent(inout) :: x - class(psb_l_base_vect_type), intent(in), optional :: mold integer(psb_ipk_), intent(out) :: info + class(psb_l_base_vect_type), intent(in), optional :: mold + integer(psb_ipk_), intent(in), optional :: mode if (allocated(x%v)) & & call x%free(info) @@ -329,7 +355,9 @@ contains else info = psb_err_alloc_dealloc_ end if - + x%nrmv = 0 + x%remote_build = psb_matbld_noremote_ + if (present(mode)) call x%set_remote_build(mode) end subroutine l_vect_all subroutine l_vect_reall(n, x, info) @@ -360,13 +388,13 @@ contains use psi_serial_mod use psb_realloc_mod implicit none - integer(psb_ipk_), intent(in) :: n + integer(psb_ipk_), intent(in) :: n class(psb_l_vect_type), intent(inout) :: x - integer(psb_ipk_), intent(out) :: info - - if (allocated(x%v)) & - & call x%v%asb(n,info) + integer(psb_ipk_), intent(out) :: info + if (allocated(x%v)) then + call x%v%asb(n,info) + end if end subroutine l_vect_asb subroutine l_vect_gthab(n,idx,alpha,x,beta,y) diff --git a/base/modules/serial/psb_s_mat_mod.F90 b/base/modules/serial/psb_s_mat_mod.F90 index 20bf3249..c1639ad5 100644 --- a/base/modules/serial/psb_s_mat_mod.F90 +++ b/base/modules/serial/psb_s_mat_mod.F90 @@ -111,6 +111,8 @@ module psb_s_mat_mod procedure, pass(a) :: is_repeatable_updates => psb_s_is_repeatable_updates procedure, pass(a) :: get_fmt => psb_s_get_fmt procedure, pass(a) :: sizeof => psb_s_sizeof + procedure, pass(a) :: is_remote_build => psb_s_is_remote_build + ! Setters procedure, pass(a) :: set_nrows => psb_s_set_nrows @@ -127,6 +129,7 @@ module psb_s_mat_mod procedure, pass(a) :: set_symmetric => psb_s_set_symmetric procedure, pass(a) :: set_unit => psb_s_set_unit procedure, pass(a) :: set_repeatable_updates => psb_s_set_repeatable_updates + procedure, pass(a) :: set_remote_build => psb_s_set_remote_build ! Memory/data management procedure, pass(a) :: csall => psb_s_csall @@ -2294,7 +2297,25 @@ contains end function s_mat_is_sync + function psb_s_is_remote_build(a) result(res) + implicit none + class(psb_sspmat_type), intent(in) :: a + logical :: res + res = (a%remote_build == psb_matbld_remote_) + end function psb_s_is_remote_build + subroutine psb_s_set_remote_build(a,val) + implicit none + class(psb_sspmat_type), intent(inout) :: a + integer(psb_ipk_), intent(in), optional :: val + + if (present(val)) then + a%remote_build = val + else + a%remote_build = psb_matbld_remote_ + end if + end subroutine psb_s_set_remote_build + function psb_s_is_repeatable_updates(a) result(res) implicit none class(psb_sspmat_type), intent(in) :: a diff --git a/base/modules/serial/psb_s_vect_mod.F90 b/base/modules/serial/psb_s_vect_mod.F90 index 8f378c6d..52380007 100644 --- a/base/modules/serial/psb_s_vect_mod.F90 +++ b/base/modules/serial/psb_s_vect_mod.F90 @@ -44,10 +44,16 @@ module psb_s_vect_mod type psb_s_vect_type class(psb_s_base_vect_type), allocatable :: v + integer(psb_ipk_) :: nrmv = 0 + integer(psb_ipk_) :: remote_build=psb_matbld_noremote_ + real(psb_spk_), allocatable :: rmtv(:) + integer(psb_lpk_), allocatable :: rmidx(:) contains procedure, pass(x) :: get_nrows => s_vect_get_nrows procedure, pass(x) :: sizeof => s_vect_sizeof procedure, pass(x) :: get_fmt => s_vect_get_fmt + procedure, pass(x) :: is_remote_build => psb_s_is_remote_build + procedure, pass(x) :: set_remote_build => psb_s_set_remote_build procedure, pass(x) :: all => s_vect_all procedure, pass(x) :: reall => s_vect_reall procedure, pass(x) :: zero => s_vect_zero @@ -175,6 +181,25 @@ module psb_s_vect_mod contains + function psb_s_is_remote_build(x) result(res) + implicit none + class(psb_s_vect_type), intent(in) :: x + logical :: res + res = (x%remote_build == psb_matbld_remote_) + end function psb_s_is_remote_build + + subroutine psb_s_set_remote_build(x,val) + implicit none + class(psb_s_vect_type), intent(inout) :: x + integer(psb_ipk_), intent(in), optional :: val + + if (present(val)) then + x%remote_build = val + else + x%remote_build = psb_matbld_remote_ + end if + end subroutine psb_s_set_remote_build + subroutine psb_s_set_vect_default(v) implicit none class(psb_s_base_vect_type), intent(in) :: v @@ -367,13 +392,14 @@ contains if (allocated(x%v)) res = x%v%get_fmt() end function s_vect_get_fmt - subroutine s_vect_all(n, x, info, mold) + subroutine s_vect_all(n, x, info, mold,mode) implicit none integer(psb_ipk_), intent(in) :: n class(psb_s_vect_type), intent(inout) :: x - class(psb_s_base_vect_type), intent(in), optional :: mold integer(psb_ipk_), intent(out) :: info + class(psb_s_base_vect_type), intent(in), optional :: mold + integer(psb_ipk_), intent(in), optional :: mode if (allocated(x%v)) & & call x%free(info) @@ -388,7 +414,9 @@ contains else info = psb_err_alloc_dealloc_ end if - + x%nrmv = 0 + x%remote_build = psb_matbld_noremote_ + if (present(mode)) call x%set_remote_build(mode) end subroutine s_vect_all subroutine s_vect_reall(n, x, info) @@ -419,13 +447,13 @@ contains use psi_serial_mod use psb_realloc_mod implicit none - integer(psb_ipk_), intent(in) :: n + integer(psb_ipk_), intent(in) :: n class(psb_s_vect_type), intent(inout) :: x - integer(psb_ipk_), intent(out) :: info - - if (allocated(x%v)) & - & call x%v%asb(n,info) + integer(psb_ipk_), intent(out) :: info + if (allocated(x%v)) then + call x%v%asb(n,info) + end if end subroutine s_vect_asb subroutine s_vect_gthab(n,idx,alpha,x,beta,y) diff --git a/base/modules/serial/psb_z_mat_mod.F90 b/base/modules/serial/psb_z_mat_mod.F90 index 1ca6941b..b84cd610 100644 --- a/base/modules/serial/psb_z_mat_mod.F90 +++ b/base/modules/serial/psb_z_mat_mod.F90 @@ -111,6 +111,8 @@ module psb_z_mat_mod procedure, pass(a) :: is_repeatable_updates => psb_z_is_repeatable_updates procedure, pass(a) :: get_fmt => psb_z_get_fmt procedure, pass(a) :: sizeof => psb_z_sizeof + procedure, pass(a) :: is_remote_build => psb_z_is_remote_build + ! Setters procedure, pass(a) :: set_nrows => psb_z_set_nrows @@ -127,6 +129,7 @@ module psb_z_mat_mod procedure, pass(a) :: set_symmetric => psb_z_set_symmetric procedure, pass(a) :: set_unit => psb_z_set_unit procedure, pass(a) :: set_repeatable_updates => psb_z_set_repeatable_updates + procedure, pass(a) :: set_remote_build => psb_z_set_remote_build ! Memory/data management procedure, pass(a) :: csall => psb_z_csall @@ -2294,7 +2297,25 @@ contains end function z_mat_is_sync + function psb_z_is_remote_build(a) result(res) + implicit none + class(psb_zspmat_type), intent(in) :: a + logical :: res + res = (a%remote_build == psb_matbld_remote_) + end function psb_z_is_remote_build + subroutine psb_z_set_remote_build(a,val) + implicit none + class(psb_zspmat_type), intent(inout) :: a + integer(psb_ipk_), intent(in), optional :: val + + if (present(val)) then + a%remote_build = val + else + a%remote_build = psb_matbld_remote_ + end if + end subroutine psb_z_set_remote_build + function psb_z_is_repeatable_updates(a) result(res) implicit none class(psb_zspmat_type), intent(in) :: a diff --git a/base/modules/serial/psb_z_vect_mod.F90 b/base/modules/serial/psb_z_vect_mod.F90 index 60c5b6f0..bd02ed62 100644 --- a/base/modules/serial/psb_z_vect_mod.F90 +++ b/base/modules/serial/psb_z_vect_mod.F90 @@ -44,10 +44,16 @@ module psb_z_vect_mod type psb_z_vect_type class(psb_z_base_vect_type), allocatable :: v + integer(psb_ipk_) :: nrmv = 0 + integer(psb_ipk_) :: remote_build=psb_matbld_noremote_ + complex(psb_dpk_), allocatable :: rmtv(:) + integer(psb_lpk_), allocatable :: rmidx(:) contains procedure, pass(x) :: get_nrows => z_vect_get_nrows procedure, pass(x) :: sizeof => z_vect_sizeof procedure, pass(x) :: get_fmt => z_vect_get_fmt + procedure, pass(x) :: is_remote_build => psb_z_is_remote_build + procedure, pass(x) :: set_remote_build => psb_z_set_remote_build procedure, pass(x) :: all => z_vect_all procedure, pass(x) :: reall => z_vect_reall procedure, pass(x) :: zero => z_vect_zero @@ -168,6 +174,25 @@ module psb_z_vect_mod contains + function psb_z_is_remote_build(x) result(res) + implicit none + class(psb_z_vect_type), intent(in) :: x + logical :: res + res = (x%remote_build == psb_matbld_remote_) + end function psb_z_is_remote_build + + subroutine psb_z_set_remote_build(x,val) + implicit none + class(psb_z_vect_type), intent(inout) :: x + integer(psb_ipk_), intent(in), optional :: val + + if (present(val)) then + x%remote_build = val + else + x%remote_build = psb_matbld_remote_ + end if + end subroutine psb_z_set_remote_build + subroutine psb_z_set_vect_default(v) implicit none class(psb_z_base_vect_type), intent(in) :: v @@ -360,13 +385,14 @@ contains if (allocated(x%v)) res = x%v%get_fmt() end function z_vect_get_fmt - subroutine z_vect_all(n, x, info, mold) + subroutine z_vect_all(n, x, info, mold,mode) implicit none integer(psb_ipk_), intent(in) :: n class(psb_z_vect_type), intent(inout) :: x - class(psb_z_base_vect_type), intent(in), optional :: mold integer(psb_ipk_), intent(out) :: info + class(psb_z_base_vect_type), intent(in), optional :: mold + integer(psb_ipk_), intent(in), optional :: mode if (allocated(x%v)) & & call x%free(info) @@ -381,7 +407,9 @@ contains else info = psb_err_alloc_dealloc_ end if - + x%nrmv = 0 + x%remote_build = psb_matbld_noremote_ + if (present(mode)) call x%set_remote_build(mode) end subroutine z_vect_all subroutine z_vect_reall(n, x, info) @@ -412,13 +440,13 @@ contains use psi_serial_mod use psb_realloc_mod implicit none - integer(psb_ipk_), intent(in) :: n + integer(psb_ipk_), intent(in) :: n class(psb_z_vect_type), intent(inout) :: x - integer(psb_ipk_), intent(out) :: info - - if (allocated(x%v)) & - & call x%v%asb(n,info) + integer(psb_ipk_), intent(out) :: info + if (allocated(x%v)) then + call x%v%asb(n,info) + end if end subroutine z_vect_asb subroutine z_vect_gthab(n,idx,alpha,x,beta,y) diff --git a/base/modules/tools/psb_c_tools_mod.F90 b/base/modules/tools/psb_c_tools_mod.F90 index 1aa2bcbb..3ccd5e69 100644 --- a/base/modules/tools/psb_c_tools_mod.F90 +++ b/base/modules/tools/psb_c_tools_mod.F90 @@ -67,13 +67,14 @@ Module psb_c_tools_mod interface psb_geasb - subroutine psb_casb_vect(x, desc_a, info,mold, scratch) + subroutine psb_casb_vect(x, desc_a, info,mold, dupl,scratch) import implicit none type(psb_desc_type), intent(in) :: desc_a type(psb_c_vect_type), intent(inout) :: x integer(psb_ipk_), intent(out) :: info class(psb_c_base_vect_type), intent(in), optional :: mold + integer(psb_ipk_), optional, intent(in) :: dupl logical, intent(in), optional :: scratch end subroutine psb_casb_vect subroutine psb_casb_vect_r2(x, desc_a, info,mold, scratch) @@ -262,14 +263,25 @@ Module psb_c_tools_mod end subroutine psb_cspasb end interface + interface psb_remote_vect + subroutine psb_c_remote_vect(v,desc_a, dupl, info) + import + implicit none + type(psb_c_vect_type),Intent(inout) :: v + type(psb_desc_type),intent(in) :: desc_a + integer(psb_ipk_), intent(in) :: dupl + integer(psb_ipk_), intent(out) :: info + end subroutine psb_c_remote_vect + end interface psb_remote_vect + interface psb_remote_mat subroutine psb_lc_remote_mat(a,desc_a,b, info) import implicit none - type(psb_lc_coo_sparse_mat),Intent(inout) :: a + type(psb_lc_coo_sparse_mat),Intent(inout) :: a type(psb_desc_type),intent(inout) :: desc_a - type(psb_lc_coo_sparse_mat),Intent(inout) :: b - integer(psb_ipk_), intent(out) :: info + type(psb_lc_coo_sparse_mat),Intent(inout) :: b + integer(psb_ipk_), intent(out) :: info end subroutine psb_lc_remote_mat end interface psb_remote_mat diff --git a/base/modules/tools/psb_d_tools_mod.F90 b/base/modules/tools/psb_d_tools_mod.F90 index b73fcb74..8756b874 100644 --- a/base/modules/tools/psb_d_tools_mod.F90 +++ b/base/modules/tools/psb_d_tools_mod.F90 @@ -67,13 +67,14 @@ Module psb_d_tools_mod interface psb_geasb - subroutine psb_dasb_vect(x, desc_a, info,mold, scratch) + subroutine psb_dasb_vect(x, desc_a, info,mold, dupl,scratch) import implicit none type(psb_desc_type), intent(in) :: desc_a type(psb_d_vect_type), intent(inout) :: x integer(psb_ipk_), intent(out) :: info class(psb_d_base_vect_type), intent(in), optional :: mold + integer(psb_ipk_), optional, intent(in) :: dupl logical, intent(in), optional :: scratch end subroutine psb_dasb_vect subroutine psb_dasb_vect_r2(x, desc_a, info,mold, scratch) @@ -262,14 +263,25 @@ Module psb_d_tools_mod end subroutine psb_dspasb end interface + interface psb_remote_vect + subroutine psb_d_remote_vect(v,desc_a, dupl, info) + import + implicit none + type(psb_d_vect_type),Intent(inout) :: v + type(psb_desc_type),intent(in) :: desc_a + integer(psb_ipk_), intent(in) :: dupl + integer(psb_ipk_), intent(out) :: info + end subroutine psb_d_remote_vect + end interface psb_remote_vect + interface psb_remote_mat subroutine psb_ld_remote_mat(a,desc_a,b, info) import implicit none - type(psb_ld_coo_sparse_mat),Intent(inout) :: a + type(psb_ld_coo_sparse_mat),Intent(inout) :: a type(psb_desc_type),intent(inout) :: desc_a - type(psb_ld_coo_sparse_mat),Intent(inout) :: b - integer(psb_ipk_), intent(out) :: info + type(psb_ld_coo_sparse_mat),Intent(inout) :: b + integer(psb_ipk_), intent(out) :: info end subroutine psb_ld_remote_mat end interface psb_remote_mat diff --git a/base/modules/tools/psb_i_tools_mod.F90 b/base/modules/tools/psb_i_tools_mod.F90 index 5cc6e836..ff4f1504 100644 --- a/base/modules/tools/psb_i_tools_mod.F90 +++ b/base/modules/tools/psb_i_tools_mod.F90 @@ -64,13 +64,14 @@ Module psb_i_tools_mod interface psb_geasb - subroutine psb_iasb_vect(x, desc_a, info,mold, scratch) + subroutine psb_iasb_vect(x, desc_a, info,mold, dupl,scratch) import implicit none type(psb_desc_type), intent(in) :: desc_a type(psb_i_vect_type), intent(inout) :: x integer(psb_ipk_), intent(out) :: info class(psb_i_base_vect_type), intent(in), optional :: mold + integer(psb_ipk_), optional, intent(in) :: dupl logical, intent(in), optional :: scratch end subroutine psb_iasb_vect subroutine psb_iasb_vect_r2(x, desc_a, info,mold, scratch) diff --git a/base/modules/tools/psb_l_tools_mod.F90 b/base/modules/tools/psb_l_tools_mod.F90 index 56617798..3b15ffd3 100644 --- a/base/modules/tools/psb_l_tools_mod.F90 +++ b/base/modules/tools/psb_l_tools_mod.F90 @@ -64,13 +64,14 @@ Module psb_l_tools_mod interface psb_geasb - subroutine psb_lasb_vect(x, desc_a, info,mold, scratch) + subroutine psb_lasb_vect(x, desc_a, info,mold, dupl,scratch) import implicit none type(psb_desc_type), intent(in) :: desc_a type(psb_l_vect_type), intent(inout) :: x integer(psb_ipk_), intent(out) :: info class(psb_l_base_vect_type), intent(in), optional :: mold + integer(psb_ipk_), optional, intent(in) :: dupl logical, intent(in), optional :: scratch end subroutine psb_lasb_vect subroutine psb_lasb_vect_r2(x, desc_a, info,mold, scratch) diff --git a/base/modules/tools/psb_s_tools_mod.F90 b/base/modules/tools/psb_s_tools_mod.F90 index dfa18e92..df22e689 100644 --- a/base/modules/tools/psb_s_tools_mod.F90 +++ b/base/modules/tools/psb_s_tools_mod.F90 @@ -67,13 +67,14 @@ Module psb_s_tools_mod interface psb_geasb - subroutine psb_sasb_vect(x, desc_a, info,mold, scratch) + subroutine psb_sasb_vect(x, desc_a, info,mold, dupl,scratch) import implicit none type(psb_desc_type), intent(in) :: desc_a type(psb_s_vect_type), intent(inout) :: x integer(psb_ipk_), intent(out) :: info class(psb_s_base_vect_type), intent(in), optional :: mold + integer(psb_ipk_), optional, intent(in) :: dupl logical, intent(in), optional :: scratch end subroutine psb_sasb_vect subroutine psb_sasb_vect_r2(x, desc_a, info,mold, scratch) @@ -262,14 +263,25 @@ Module psb_s_tools_mod end subroutine psb_sspasb end interface + interface psb_remote_vect + subroutine psb_s_remote_vect(v,desc_a, dupl, info) + import + implicit none + type(psb_s_vect_type),Intent(inout) :: v + type(psb_desc_type),intent(in) :: desc_a + integer(psb_ipk_), intent(in) :: dupl + integer(psb_ipk_), intent(out) :: info + end subroutine psb_s_remote_vect + end interface psb_remote_vect + interface psb_remote_mat subroutine psb_ls_remote_mat(a,desc_a,b, info) import implicit none - type(psb_ls_coo_sparse_mat),Intent(inout) :: a + type(psb_ls_coo_sparse_mat),Intent(inout) :: a type(psb_desc_type),intent(inout) :: desc_a - type(psb_ls_coo_sparse_mat),Intent(inout) :: b - integer(psb_ipk_), intent(out) :: info + type(psb_ls_coo_sparse_mat),Intent(inout) :: b + integer(psb_ipk_), intent(out) :: info end subroutine psb_ls_remote_mat end interface psb_remote_mat diff --git a/base/modules/tools/psb_z_tools_mod.F90 b/base/modules/tools/psb_z_tools_mod.F90 index b76893c7..8635b24b 100644 --- a/base/modules/tools/psb_z_tools_mod.F90 +++ b/base/modules/tools/psb_z_tools_mod.F90 @@ -67,13 +67,14 @@ Module psb_z_tools_mod interface psb_geasb - subroutine psb_zasb_vect(x, desc_a, info,mold, scratch) + subroutine psb_zasb_vect(x, desc_a, info,mold, dupl,scratch) import implicit none type(psb_desc_type), intent(in) :: desc_a type(psb_z_vect_type), intent(inout) :: x integer(psb_ipk_), intent(out) :: info class(psb_z_base_vect_type), intent(in), optional :: mold + integer(psb_ipk_), optional, intent(in) :: dupl logical, intent(in), optional :: scratch end subroutine psb_zasb_vect subroutine psb_zasb_vect_r2(x, desc_a, info,mold, scratch) @@ -262,14 +263,25 @@ Module psb_z_tools_mod end subroutine psb_zspasb end interface + interface psb_remote_vect + subroutine psb_z_remote_vect(v,desc_a, dupl, info) + import + implicit none + type(psb_z_vect_type),Intent(inout) :: v + type(psb_desc_type),intent(in) :: desc_a + integer(psb_ipk_), intent(in) :: dupl + integer(psb_ipk_), intent(out) :: info + end subroutine psb_z_remote_vect + end interface psb_remote_vect + interface psb_remote_mat subroutine psb_lz_remote_mat(a,desc_a,b, info) import implicit none - type(psb_lz_coo_sparse_mat),Intent(inout) :: a + type(psb_lz_coo_sparse_mat),Intent(inout) :: a type(psb_desc_type),intent(inout) :: desc_a - type(psb_lz_coo_sparse_mat),Intent(inout) :: b - integer(psb_ipk_), intent(out) :: info + type(psb_lz_coo_sparse_mat),Intent(inout) :: b + integer(psb_ipk_), intent(out) :: info end subroutine psb_lz_remote_mat end interface psb_remote_mat diff --git a/base/tools/psb_c_remote_mat.F90 b/base/tools/psb_c_remote_mat.F90 index fcccd26d..52a06480 100644 --- a/base/tools/psb_c_remote_mat.F90 +++ b/base/tools/psb_c_remote_mat.F90 @@ -29,9 +29,9 @@ ! POSSIBILITY OF SUCH DAMAGE. ! ! -! File: psb_csphalo.f90 +! File: psb_c_remote_mat.f90 ! -! Subroutine: psb_csphalo psb_lcsphalo +! Subroutine: ! This routine does the retrieval of remote matrix rows. ! Retrieval is done through GETROW, therefore it should work ! for any matrix format in A; as for the output, default is CSR. @@ -278,3 +278,221 @@ Subroutine psb_lc_remote_mat(a,desc_a,b,info) End Subroutine psb_lc_remote_mat + +subroutine psb_c_remote_vect(v,desc_a, info, dupl) + use psb_base_mod, psb_protect_name => psb_c_remote_vect + +#ifdef MPI_MOD + use mpi +#endif + Implicit None +#ifdef MPI_H + include 'mpif.h' +#endif + + type(psb_c_vect_type),Intent(inout) :: v + type(psb_desc_type),intent(in) :: desc_a + integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_),optional, intent(in) :: dupl + + ! ...local scalars.... + type(psb_ctxt_type) :: ctxt + integer(psb_ipk_) :: np,me + integer(psb_ipk_) :: counter, proc, i, n_el_send,n_el_recv, & + & n_elem, j, ipx,mat_recv, idxs,idxr,& + & data_,totxch,nxs, nxr, ncg, dupl_ + integer(psb_lpk_) :: r, k, irmin, irmax, icmin, icmax, iszs, iszr, & + & lidx, l1, lnr, lnc, lnnz, idx, ngtz, tot_elem + integer(psb_lpk_) :: nz,nouth + integer(psb_ipk_) :: nnp, nrcvs, nsnds + integer(psb_mpk_) :: icomm, minfo + integer(psb_mpk_), allocatable :: brvindx(:), & + & rvsz(:), bsdindx(:),sdsz(:), sdsi(:), rvsi(:) + integer(psb_lpk_), allocatable :: iasnd(:), jasnd(:) + complex(psb_spk_), allocatable :: valsnd(:) + integer(psb_ipk_), allocatable :: ladj(:), ila(:), iprc(:) + logical :: rowcnv_,colcnv_,rowscale_,colscale_ + character(len=5) :: outfmt_ + integer(psb_ipk_) :: debug_level, debug_unit, err_act + character(len=20) :: name, ch_err + + info=psb_success_ + name='psb_c_remote_vect' + call psb_erractionsave(err_act) + if (psb_errstatus_fatal()) then + info = psb_err_internal_error_ ; goto 9999 + end if + debug_unit = psb_get_debug_unit() + debug_level = psb_get_debug_level() + + if (present(dupl)) then + dupl_ = dupl + else + if (v%is_remote_build()) then + dupl_ = psb_dupl_add_ + else + dupl_ = psb_dupl_ovwrt_ + end if + endif + + ctxt = desc_a%get_context() + icomm = desc_a%get_mpic() + + Call psb_info(ctxt, me, np) + + if (debug_level >= psb_debug_outer_) & + & write(debug_unit,*) me,' ',trim(name),': Start' + write(0,*) me, 'X_remote_vect implementation to be completed ' + +!!$ call b%free() +!!$ +!!$ Allocate(rvsz(np),sdsz(np),sdsi(np),rvsi(np),brvindx(np+1),& +!!$ & bsdindx(np+1), acoo,stat=info) +!!$ +!!$ if (info /= psb_success_) then +!!$ info=psb_err_alloc_dealloc_ +!!$ call psb_errpush(info,name) +!!$ goto 9999 +!!$ end if +!!$ +!!$ +!!$ nz = a%get_nzeros() +!!$ allocate(ila(nz)) +!!$ !write(0,*) me,name,' size :',nz,size(ila) +!!$ call desc_a%g2l(a%ia(1:nz),ila(1:nz),info,owned=.false.) +!!$ nouth = count(ila(1:nz)<0) +!!$ !write(0,*) me,name,' Count out of halo :',nouth +!!$ call psb_max(ctxt,nouth) +!!$ if ((nouth/=0).and.(me==0)) & +!!$ & write(0,*) 'Warning: would require reinit of DESC_A' +!!$ +!!$ call psi_graph_fnd_owner(a%ia(1:nz),iprc,ladj,desc_a%indxmap,info) +!!$ call psb_msort_unique(ladj,nnp) +!!$ !write(0,*) me,name,' Processes:',ladj(1:nnp) +!!$ +!!$ icomm = desc_a%get_mpic() +!!$ sdsz(:)=0 +!!$ rvsz(:)=0 +!!$ sdsi(:)=0 +!!$ rvsi(:)=0 +!!$ ipx = 1 +!!$ brvindx(:) = 0 +!!$ bsdindx(:) = 0 +!!$ counter=1 +!!$ idx = 0 +!!$ idxs = 0 +!!$ idxr = 0 +!!$ do i=1,nz +!!$ if (iprc(i) >=0) then +!!$ sdsz(iprc(i)+1) = sdsz(iprc(i)+1) +1 +!!$ else +!!$ write(0,*)me,name,' Error from fnd_owner: ',iprc(i) +!!$ end if +!!$ end do +!!$ call mpi_alltoall(sdsz,1,psb_mpi_mpk_,& +!!$ & rvsz,1,psb_mpi_mpk_,icomm,minfo) +!!$ if (minfo /= psb_success_) then +!!$ info=psb_err_from_subroutine_ +!!$ call psb_errpush(info,name,a_err='mpi_alltoall') +!!$ goto 9999 +!!$ end if +!!$ !write(0,*)me,name,' sdsz ',sdsz(:),' rvsz:',rvsz(:) +!!$ nsnds = count(sdsz /= 0) +!!$ nrcvs = count(rvsz /= 0) +!!$ idxs = 0 +!!$ idxr = 0 +!!$ counter = 1 +!!$ Do proc=0,np-1 +!!$ bsdindx(proc+1) = idxs +!!$ idxs = idxs + sdsz(proc+1) +!!$ brvindx(proc+1) = idxr +!!$ idxr = idxr + rvsz(proc+1) +!!$ Enddo +!!$ +!!$ iszs = sum(sdsz) +!!$ iszr = sum(rvsz) +!!$ call acoo%allocate(desc_a%get_global_rows(),desc_a%get_global_cols(),iszr) +!!$ if (psb_errstatus_fatal()) then +!!$ write(0,*) 'Error from acoo%allocate ' +!!$ info = 4010 +!!$ goto 9999 +!!$ end if +!!$ if (debug_level >= psb_debug_outer_)& +!!$ & write(debug_unit,*) me,' ',trim(name),': Sizes:',acoo%get_size(),& +!!$ & ' Send:',sdsz(:),' Receive:',rvsz(:) +!!$ !write(debug_unit,*) me,' ',trim(name),': ',info +!!$ if (info == psb_success_) call psb_ensure_size(max(iszs,1),iasnd,info) +!!$ !write(debug_unit,*) me,' ',trim(name),' iasnd: ',info +!!$ if (info == psb_success_) call psb_ensure_size(max(iszs,1),jasnd,info) +!!$ !write(debug_unit,*) me,' ',trim(name),' jasnd: ',info +!!$ if (info == psb_success_) call psb_ensure_size(max(iszs,1),valsnd,info) +!!$ !write(debug_unit,*) me,' ',trim(name),' valsnd: ',info +!!$ if (info /= psb_success_) then +!!$ info=psb_err_from_subroutine_ +!!$ call psb_errpush(info,name,a_err='ensure_size') +!!$ goto 9999 +!!$ end if +!!$ do k=1, nz +!!$ proc = iprc(k) +!!$ sdsi(proc+1) = sdsi(proc+1) + 1 +!!$ !rvsi(proc) = rvsi(proc) + 1 +!!$ iasnd(bsdindx(proc+1)+sdsi(proc+1)) = a%ia(k) +!!$ jasnd(bsdindx(proc+1)+sdsi(proc+1)) = a%ja(k) +!!$ valsnd(bsdindx(proc+1)+sdsi(proc+1)) = a%val(k) +!!$ end do +!!$ do proc=0,np-1 +!!$ if (sdsi(proc+1) /= sdsz(proc+1)) & +!!$ & write(0,*) me,name,'Send mismacth ',sdsi(proc+1),sdsz(proc+1) +!!$ end do +!!$ +!!$ select case(psb_get_sp_a2av_alg()) +!!$ case(psb_sp_a2av_smpl_triad_) +!!$ call psb_simple_triad_a2av(valsnd,iasnd,jasnd,sdsz,bsdindx,& +!!$ & acoo%val,acoo%ia,acoo%ja,rvsz,brvindx,ctxt,info) +!!$ case(psb_sp_a2av_smpl_v_) +!!$ call psb_simple_a2av(valsnd,sdsz,bsdindx,& +!!$ & acoo%val,rvsz,brvindx,ctxt,info) +!!$ if (info == psb_success_) call psb_simple_a2av(iasnd,sdsz,bsdindx,& +!!$ & acoo%ia,rvsz,brvindx,ctxt,info) +!!$ if (info == psb_success_) call psb_simple_a2av(jasnd,sdsz,bsdindx,& +!!$ & acoo%ja,rvsz,brvindx,ctxt,info) +!!$ case(psb_sp_a2av_mpi_) +!!$ +!!$ call mpi_alltoallv(valsnd,sdsz,bsdindx,psb_mpi_c_spk_,& +!!$ & acoo%val,rvsz,brvindx,psb_mpi_c_spk_,icomm,minfo) +!!$ if (minfo == mpi_success) & +!!$ & call mpi_alltoallv(iasnd,sdsz,bsdindx,psb_mpi_lpk_,& +!!$ & acoo%ia,rvsz,brvindx,psb_mpi_lpk_,icomm,minfo) +!!$ if (minfo == mpi_success) & +!!$ & call mpi_alltoallv(jasnd,sdsz,bsdindx,psb_mpi_lpk_,& +!!$ & acoo%ja,rvsz,brvindx,psb_mpi_lpk_,icomm,minfo) +!!$ if (minfo /= mpi_success) info = minfo +!!$ case default +!!$ info = psb_err_internal_error_ +!!$ call psb_errpush(info,name,a_err='wrong A2AV alg selector') +!!$ goto 9999 +!!$ end select +!!$ +!!$ if (info /= psb_success_) then +!!$ info=psb_err_from_subroutine_ +!!$ call psb_errpush(info,name,a_err='alltoallv') +!!$ goto 9999 +!!$ end if +!!$ call acoo%set_nzeros(iszr) +!!$ call acoo%mv_to_coo(b,info) +!!$ +!!$ Deallocate(brvindx,bsdindx,rvsz,sdsz,& +!!$ & iasnd,jasnd,valsnd,stat=info) +!!$ if (debug_level >= psb_debug_outer_)& +!!$ & write(debug_unit,*) me,' ',trim(name),': Done' + + call psb_erractionrestore(err_act) + return + +9999 call psb_error_handler(ctxt,err_act) + + return + +End Subroutine psb_c_remote_vect + + diff --git a/base/tools/psb_casb.f90 b/base/tools/psb_casb.f90 index de2e3890..6eba0696 100644 --- a/base/tools/psb_casb.f90 +++ b/base/tools/psb_casb.f90 @@ -51,7 +51,7 @@ ! scratch - logical, optional If true, allocate without checking/zeroing contents. ! default: .false. ! -subroutine psb_casb_vect(x, desc_a, info, mold, scratch) +subroutine psb_casb_vect(x, desc_a, info, mold, dupl,scratch) use psb_base_mod, psb_protect_name => psb_casb_vect implicit none @@ -59,12 +59,13 @@ subroutine psb_casb_vect(x, desc_a, info, mold, scratch) type(psb_c_vect_type), intent(inout) :: x integer(psb_ipk_), intent(out) :: info class(psb_c_base_vect_type), intent(in), optional :: mold + integer(psb_ipk_), optional, intent(in) :: dupl logical, intent(in), optional :: scratch ! local variables type(psb_ctxt_type) :: ctxt integer(psb_ipk_) :: np,me - integer(psb_ipk_) :: i1sz,nrow,ncol, err_act + integer(psb_ipk_) :: i1sz,nrow,ncol, err_act, dupl_ logical :: scratch_ integer(psb_ipk_) :: debug_level, debug_unit character(len=20) :: name,ch_err @@ -82,6 +83,11 @@ subroutine psb_casb_vect(x, desc_a, info, mold, scratch) scratch_ = .false. if (present(scratch)) scratch_ = scratch + if (present(dupl)) then + dupl_ = dupl + else + dupl_ = psb_dupl_ovwrt_ + endif call psb_info(ctxt, me, np) ! ....verify blacs grid correctness.. @@ -104,6 +110,7 @@ subroutine psb_casb_vect(x, desc_a, info, mold, scratch) call x%free(info) call x%bld(ncol,mold=mold) else + if (x%is_remote_build()) call psb_c_remote_vect(x,desc_a,dupl_, info) call x%asb(ncol,info) ! ..update halo elements.. call psb_halo(x,desc_a,info) diff --git a/base/tools/psb_cins.f90 b/base/tools/psb_cins.f90 index e874c315..948a596a 100644 --- a/base/tools/psb_cins.f90 +++ b/base/tools/psb_cins.f90 @@ -112,7 +112,6 @@ subroutine psb_cins_vect(m, irw, val, x, desc_a, info, dupl,local) endif - allocate(irl(m),stat=info) if (info /= psb_success_) then info = psb_err_alloc_dealloc_ diff --git a/base/tools/psb_cspalloc.f90 b/base/tools/psb_cspalloc.f90 index 286bb4a0..5d5a1f34 100644 --- a/base/tools/psb_cspalloc.f90 +++ b/base/tools/psb_cspalloc.f90 @@ -116,22 +116,28 @@ subroutine psb_cspalloc(a, desc_a, info, nnz, bldmode) !!$ write(0,*) name,'Setting a%remote_build ',& !!$ & bldmode_,psb_matbld_noremote_,psb_matbld_remote_ - a%remote_build = bldmode_ - - select case(a%remote_build) - case (psb_matbld_noremote_) - ! nothing needed - !write(0,*) name,' matbld_noremote_ nothing needed' - case (psb_matbld_remote_) - !write(0,*) name,' matbld_remote_ start ' + call a%set_remote_build(bldmode_) + if (a%is_remote_build()) then allocate(a%rmta) nnzrmt_ = max(100,(nnz_/100)) call a%rmta%allocate(m,n,nnzrmt_) - - case default - write(0,*) name,'Invalid value for remote_build ' - a%remote_build = psb_matbld_noremote_ - end select + end if + +!!$ a%remote_build = bldmode_ +!!$ select case(a%remote_build) +!!$ case (psb_matbld_noremote_) +!!$ ! nothing needed +!!$ !write(0,*) name,' matbld_noremote_ nothing needed' +!!$ case (psb_matbld_remote_) +!!$ !write(0,*) name,' matbld_remote_ start ' +!!$ allocate(a%rmta) +!!$ nnzrmt_ = max(100,(nnz_/100)) +!!$ call a%rmta%allocate(m,n,nnzrmt_) +!!$ +!!$ case default +!!$ write(0,*) name,'Invalid value for remote_build ' +!!$ a%remote_build = psb_matbld_noremote_ +!!$ end select if (debug_level >= psb_debug_ext_) & & write(debug_unit,*) me,' ',trim(name),': ', & diff --git a/base/tools/psb_cspasb.f90 b/base/tools/psb_cspasb.f90 index 390bdcaf..95f3cf37 100644 --- a/base/tools/psb_cspasb.f90 +++ b/base/tools/psb_cspasb.f90 @@ -106,11 +106,7 @@ subroutine psb_cspasb(a,desc_a, info, afmt, upd, dupl, mold) ! ! First case: we come from a fresh build. ! - - select case(a%remote_build) - case (psb_matbld_noremote_) - ! nothing needed - case (psb_matbld_remote_) + if (a%is_remote_build()) then !write(0,*) me,name,' Size of rmta:',a%rmta%get_nzeros() block type(psb_lc_coo_sparse_mat) :: a_add @@ -143,11 +139,42 @@ subroutine psb_cspasb(a,desc_a, info, afmt, upd, dupl, mold) if (nzt > 0) call psb_cdasb(desc_a,info,mold=ivm) end block - end select - call a%set_ncols(desc_a%get_local_cols()) - + end if + call a%set_ncols(desc_a%get_local_cols()) call a%cscnv(info,type=afmt,dupl=dupl, mold=mold) else if (a%is_upd()) then + if (a%is_remote_build()) then + !write(0,*) me,name,' Size of rmta:',a%rmta%get_nzeros() + block + type(psb_lc_coo_sparse_mat) :: a_add + integer(psb_ipk_), allocatable :: ila(:), jla(:) + integer(psb_ipk_) :: nz, nzt,k + call psb_remote_mat(a%rmta,desc_a,a_add,info) + nz = a_add%get_nzeros() +!!$ write(0,*) me,name,' Nz to be added',nz + nzt = nz + call psb_sum(ctxt,nzt) + if (nzt>0) then + allocate(ivm, mold=desc_a%v_halo_index%v) + call psb_cd_reinit(desc_a, info) + end if + if (nz > 0) then + ! + ! Should we check for new indices here? + ! + call psb_realloc(nz,ila,info) + call psb_realloc(nz,jla,info) + call desc_a%indxmap%g2l(a_add%ia(1:nz),ila(1:nz),info,owned=.true.) + if (info == 0) call desc_a%indxmap%g2l_ins(a_add%ja(1:nz),jla(1:nz),info) + !write(0,*) me,name,' Check before insert',a%get_nzeros() + n_row = desc_a%get_local_rows() + n_col = desc_a%get_local_cols() + call a%set_ncols(desc_a%get_local_cols()) + call a%csput(nz,ila,jla,a_add%val,ione,n_row,ione,n_col,info) + !write(0,*) me,name,' Check after insert',a%get_nzeros(),nz + end if + end block + end if call a%asb(mold=mold) else info = psb_err_invalid_mat_state_ diff --git a/base/tools/psb_cspins.F90 b/base/tools/psb_cspins.F90 index 553e3e3d..27cfbd8e 100644 --- a/base/tools/psb_cspins.F90 +++ b/base/tools/psb_cspins.F90 @@ -151,11 +151,8 @@ subroutine psb_cspins(nz,ia,ja,val,a,desc_a,info,rebuild,local) call psb_errpush(info,name,a_err='a%csput') goto 9999 end if - - select case(a%remote_build) - case (psb_matbld_noremote_) - ! Do nothing - case (psb_matbld_remote_) + + if (a%is_remote_build()) then nnl = count(ila(1:nz)<0) if (nnl > 0) then !write(0,*) 'Check on insert ',nnl @@ -173,9 +170,7 @@ subroutine psb_cspins(nz,ia,ja,val,a,desc_a,info,rebuild,local) call a%rmta%csput(nnl,lila,ljla,lval,1_psb_lpk_,desc_a%get_global_rows(),& & 1_psb_lpk_,desc_a%get_global_rows(),info) end if - case default - write(0,*) name,' Ignoring wrong value for %remote_build' - end select + end if else info = psb_err_invalid_a_and_cd_state_ @@ -208,10 +203,7 @@ subroutine psb_cspins(nz,ia,ja,val,a,desc_a,info,rebuild,local) call psb_errpush(info,name,a_err='a%csput') goto 9999 end if - select case(a%remote_build) - case (psb_matbld_noremote_) - ! Do nothing - case (psb_matbld_remote_) + if (a%is_remote_build()) then nnl = count(ila(1:nz)<0) if (nnl > 0) then !write(0,*) 'Check on insert ',nnl @@ -229,10 +221,7 @@ subroutine psb_cspins(nz,ia,ja,val,a,desc_a,info,rebuild,local) call a%rmta%csput(nnl,lila,ljla,lval,1_psb_lpk_,desc_a%get_global_rows(),& & 1_psb_lpk_,desc_a%get_global_rows(),info) end if - case default - write(0,*) name,' Ignoring wrong value for %remote_build' - end select - + end if else info = psb_err_invalid_cd_state_ call psb_errpush(info,name) diff --git a/base/tools/psb_d_remote_mat.F90 b/base/tools/psb_d_remote_mat.F90 index 290a6f3d..8d67dfbb 100644 --- a/base/tools/psb_d_remote_mat.F90 +++ b/base/tools/psb_d_remote_mat.F90 @@ -29,9 +29,9 @@ ! POSSIBILITY OF SUCH DAMAGE. ! ! -! File: psb_dsphalo.f90 +! File: psb_d_remote_mat.f90 ! -! Subroutine: psb_dsphalo psb_ldsphalo +! Subroutine: ! This routine does the retrieval of remote matrix rows. ! Retrieval is done through GETROW, therefore it should work ! for any matrix format in A; as for the output, default is CSR. @@ -278,3 +278,221 @@ Subroutine psb_ld_remote_mat(a,desc_a,b,info) End Subroutine psb_ld_remote_mat + +subroutine psb_d_remote_vect(v,desc_a, info, dupl) + use psb_base_mod, psb_protect_name => psb_d_remote_vect + +#ifdef MPI_MOD + use mpi +#endif + Implicit None +#ifdef MPI_H + include 'mpif.h' +#endif + + type(psb_d_vect_type),Intent(inout) :: v + type(psb_desc_type),intent(in) :: desc_a + integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_),optional, intent(in) :: dupl + + ! ...local scalars.... + type(psb_ctxt_type) :: ctxt + integer(psb_ipk_) :: np,me + integer(psb_ipk_) :: counter, proc, i, n_el_send,n_el_recv, & + & n_elem, j, ipx,mat_recv, idxs,idxr,& + & data_,totxch,nxs, nxr, ncg, dupl_ + integer(psb_lpk_) :: r, k, irmin, irmax, icmin, icmax, iszs, iszr, & + & lidx, l1, lnr, lnc, lnnz, idx, ngtz, tot_elem + integer(psb_lpk_) :: nz,nouth + integer(psb_ipk_) :: nnp, nrcvs, nsnds + integer(psb_mpk_) :: icomm, minfo + integer(psb_mpk_), allocatable :: brvindx(:), & + & rvsz(:), bsdindx(:),sdsz(:), sdsi(:), rvsi(:) + integer(psb_lpk_), allocatable :: iasnd(:), jasnd(:) + real(psb_dpk_), allocatable :: valsnd(:) + integer(psb_ipk_), allocatable :: ladj(:), ila(:), iprc(:) + logical :: rowcnv_,colcnv_,rowscale_,colscale_ + character(len=5) :: outfmt_ + integer(psb_ipk_) :: debug_level, debug_unit, err_act + character(len=20) :: name, ch_err + + info=psb_success_ + name='psb_d_remote_vect' + call psb_erractionsave(err_act) + if (psb_errstatus_fatal()) then + info = psb_err_internal_error_ ; goto 9999 + end if + debug_unit = psb_get_debug_unit() + debug_level = psb_get_debug_level() + + if (present(dupl)) then + dupl_ = dupl + else + if (v%is_remote_build()) then + dupl_ = psb_dupl_add_ + else + dupl_ = psb_dupl_ovwrt_ + end if + endif + + ctxt = desc_a%get_context() + icomm = desc_a%get_mpic() + + Call psb_info(ctxt, me, np) + + if (debug_level >= psb_debug_outer_) & + & write(debug_unit,*) me,' ',trim(name),': Start' + write(0,*) me, 'X_remote_vect implementation to be completed ' + +!!$ call b%free() +!!$ +!!$ Allocate(rvsz(np),sdsz(np),sdsi(np),rvsi(np),brvindx(np+1),& +!!$ & bsdindx(np+1), acoo,stat=info) +!!$ +!!$ if (info /= psb_success_) then +!!$ info=psb_err_alloc_dealloc_ +!!$ call psb_errpush(info,name) +!!$ goto 9999 +!!$ end if +!!$ +!!$ +!!$ nz = a%get_nzeros() +!!$ allocate(ila(nz)) +!!$ !write(0,*) me,name,' size :',nz,size(ila) +!!$ call desc_a%g2l(a%ia(1:nz),ila(1:nz),info,owned=.false.) +!!$ nouth = count(ila(1:nz)<0) +!!$ !write(0,*) me,name,' Count out of halo :',nouth +!!$ call psb_max(ctxt,nouth) +!!$ if ((nouth/=0).and.(me==0)) & +!!$ & write(0,*) 'Warning: would require reinit of DESC_A' +!!$ +!!$ call psi_graph_fnd_owner(a%ia(1:nz),iprc,ladj,desc_a%indxmap,info) +!!$ call psb_msort_unique(ladj,nnp) +!!$ !write(0,*) me,name,' Processes:',ladj(1:nnp) +!!$ +!!$ icomm = desc_a%get_mpic() +!!$ sdsz(:)=0 +!!$ rvsz(:)=0 +!!$ sdsi(:)=0 +!!$ rvsi(:)=0 +!!$ ipx = 1 +!!$ brvindx(:) = 0 +!!$ bsdindx(:) = 0 +!!$ counter=1 +!!$ idx = 0 +!!$ idxs = 0 +!!$ idxr = 0 +!!$ do i=1,nz +!!$ if (iprc(i) >=0) then +!!$ sdsz(iprc(i)+1) = sdsz(iprc(i)+1) +1 +!!$ else +!!$ write(0,*)me,name,' Error from fnd_owner: ',iprc(i) +!!$ end if +!!$ end do +!!$ call mpi_alltoall(sdsz,1,psb_mpi_mpk_,& +!!$ & rvsz,1,psb_mpi_mpk_,icomm,minfo) +!!$ if (minfo /= psb_success_) then +!!$ info=psb_err_from_subroutine_ +!!$ call psb_errpush(info,name,a_err='mpi_alltoall') +!!$ goto 9999 +!!$ end if +!!$ !write(0,*)me,name,' sdsz ',sdsz(:),' rvsz:',rvsz(:) +!!$ nsnds = count(sdsz /= 0) +!!$ nrcvs = count(rvsz /= 0) +!!$ idxs = 0 +!!$ idxr = 0 +!!$ counter = 1 +!!$ Do proc=0,np-1 +!!$ bsdindx(proc+1) = idxs +!!$ idxs = idxs + sdsz(proc+1) +!!$ brvindx(proc+1) = idxr +!!$ idxr = idxr + rvsz(proc+1) +!!$ Enddo +!!$ +!!$ iszs = sum(sdsz) +!!$ iszr = sum(rvsz) +!!$ call acoo%allocate(desc_a%get_global_rows(),desc_a%get_global_cols(),iszr) +!!$ if (psb_errstatus_fatal()) then +!!$ write(0,*) 'Error from acoo%allocate ' +!!$ info = 4010 +!!$ goto 9999 +!!$ end if +!!$ if (debug_level >= psb_debug_outer_)& +!!$ & write(debug_unit,*) me,' ',trim(name),': Sizes:',acoo%get_size(),& +!!$ & ' Send:',sdsz(:),' Receive:',rvsz(:) +!!$ !write(debug_unit,*) me,' ',trim(name),': ',info +!!$ if (info == psb_success_) call psb_ensure_size(max(iszs,1),iasnd,info) +!!$ !write(debug_unit,*) me,' ',trim(name),' iasnd: ',info +!!$ if (info == psb_success_) call psb_ensure_size(max(iszs,1),jasnd,info) +!!$ !write(debug_unit,*) me,' ',trim(name),' jasnd: ',info +!!$ if (info == psb_success_) call psb_ensure_size(max(iszs,1),valsnd,info) +!!$ !write(debug_unit,*) me,' ',trim(name),' valsnd: ',info +!!$ if (info /= psb_success_) then +!!$ info=psb_err_from_subroutine_ +!!$ call psb_errpush(info,name,a_err='ensure_size') +!!$ goto 9999 +!!$ end if +!!$ do k=1, nz +!!$ proc = iprc(k) +!!$ sdsi(proc+1) = sdsi(proc+1) + 1 +!!$ !rvsi(proc) = rvsi(proc) + 1 +!!$ iasnd(bsdindx(proc+1)+sdsi(proc+1)) = a%ia(k) +!!$ jasnd(bsdindx(proc+1)+sdsi(proc+1)) = a%ja(k) +!!$ valsnd(bsdindx(proc+1)+sdsi(proc+1)) = a%val(k) +!!$ end do +!!$ do proc=0,np-1 +!!$ if (sdsi(proc+1) /= sdsz(proc+1)) & +!!$ & write(0,*) me,name,'Send mismacth ',sdsi(proc+1),sdsz(proc+1) +!!$ end do +!!$ +!!$ select case(psb_get_sp_a2av_alg()) +!!$ case(psb_sp_a2av_smpl_triad_) +!!$ call psb_simple_triad_a2av(valsnd,iasnd,jasnd,sdsz,bsdindx,& +!!$ & acoo%val,acoo%ia,acoo%ja,rvsz,brvindx,ctxt,info) +!!$ case(psb_sp_a2av_smpl_v_) +!!$ call psb_simple_a2av(valsnd,sdsz,bsdindx,& +!!$ & acoo%val,rvsz,brvindx,ctxt,info) +!!$ if (info == psb_success_) call psb_simple_a2av(iasnd,sdsz,bsdindx,& +!!$ & acoo%ia,rvsz,brvindx,ctxt,info) +!!$ if (info == psb_success_) call psb_simple_a2av(jasnd,sdsz,bsdindx,& +!!$ & acoo%ja,rvsz,brvindx,ctxt,info) +!!$ case(psb_sp_a2av_mpi_) +!!$ +!!$ call mpi_alltoallv(valsnd,sdsz,bsdindx,psb_mpi_r_dpk_,& +!!$ & acoo%val,rvsz,brvindx,psb_mpi_r_dpk_,icomm,minfo) +!!$ if (minfo == mpi_success) & +!!$ & call mpi_alltoallv(iasnd,sdsz,bsdindx,psb_mpi_lpk_,& +!!$ & acoo%ia,rvsz,brvindx,psb_mpi_lpk_,icomm,minfo) +!!$ if (minfo == mpi_success) & +!!$ & call mpi_alltoallv(jasnd,sdsz,bsdindx,psb_mpi_lpk_,& +!!$ & acoo%ja,rvsz,brvindx,psb_mpi_lpk_,icomm,minfo) +!!$ if (minfo /= mpi_success) info = minfo +!!$ case default +!!$ info = psb_err_internal_error_ +!!$ call psb_errpush(info,name,a_err='wrong A2AV alg selector') +!!$ goto 9999 +!!$ end select +!!$ +!!$ if (info /= psb_success_) then +!!$ info=psb_err_from_subroutine_ +!!$ call psb_errpush(info,name,a_err='alltoallv') +!!$ goto 9999 +!!$ end if +!!$ call acoo%set_nzeros(iszr) +!!$ call acoo%mv_to_coo(b,info) +!!$ +!!$ Deallocate(brvindx,bsdindx,rvsz,sdsz,& +!!$ & iasnd,jasnd,valsnd,stat=info) +!!$ if (debug_level >= psb_debug_outer_)& +!!$ & write(debug_unit,*) me,' ',trim(name),': Done' + + call psb_erractionrestore(err_act) + return + +9999 call psb_error_handler(ctxt,err_act) + + return + +End Subroutine psb_d_remote_vect + + diff --git a/base/tools/psb_dasb.f90 b/base/tools/psb_dasb.f90 index 5ebee093..34bd345b 100644 --- a/base/tools/psb_dasb.f90 +++ b/base/tools/psb_dasb.f90 @@ -51,7 +51,7 @@ ! scratch - logical, optional If true, allocate without checking/zeroing contents. ! default: .false. ! -subroutine psb_dasb_vect(x, desc_a, info, mold, scratch) +subroutine psb_dasb_vect(x, desc_a, info, mold, dupl,scratch) use psb_base_mod, psb_protect_name => psb_dasb_vect implicit none @@ -59,12 +59,13 @@ subroutine psb_dasb_vect(x, desc_a, info, mold, scratch) type(psb_d_vect_type), intent(inout) :: x integer(psb_ipk_), intent(out) :: info class(psb_d_base_vect_type), intent(in), optional :: mold + integer(psb_ipk_), optional, intent(in) :: dupl logical, intent(in), optional :: scratch ! local variables type(psb_ctxt_type) :: ctxt integer(psb_ipk_) :: np,me - integer(psb_ipk_) :: i1sz,nrow,ncol, err_act + integer(psb_ipk_) :: i1sz,nrow,ncol, err_act, dupl_ logical :: scratch_ integer(psb_ipk_) :: debug_level, debug_unit character(len=20) :: name,ch_err @@ -82,6 +83,11 @@ subroutine psb_dasb_vect(x, desc_a, info, mold, scratch) scratch_ = .false. if (present(scratch)) scratch_ = scratch + if (present(dupl)) then + dupl_ = dupl + else + dupl_ = psb_dupl_ovwrt_ + endif call psb_info(ctxt, me, np) ! ....verify blacs grid correctness.. @@ -104,6 +110,7 @@ subroutine psb_dasb_vect(x, desc_a, info, mold, scratch) call x%free(info) call x%bld(ncol,mold=mold) else + if (x%is_remote_build()) call psb_d_remote_vect(x,desc_a,dupl_, info) call x%asb(ncol,info) ! ..update halo elements.. call psb_halo(x,desc_a,info) diff --git a/base/tools/psb_dins.f90 b/base/tools/psb_dins.f90 index 3e873ded..5aaceec1 100644 --- a/base/tools/psb_dins.f90 +++ b/base/tools/psb_dins.f90 @@ -112,7 +112,6 @@ subroutine psb_dins_vect(m, irw, val, x, desc_a, info, dupl,local) endif - allocate(irl(m),stat=info) if (info /= psb_success_) then info = psb_err_alloc_dealloc_ diff --git a/base/tools/psb_dspalloc.f90 b/base/tools/psb_dspalloc.f90 index 781a3abf..31381bca 100644 --- a/base/tools/psb_dspalloc.f90 +++ b/base/tools/psb_dspalloc.f90 @@ -116,22 +116,28 @@ subroutine psb_dspalloc(a, desc_a, info, nnz, bldmode) !!$ write(0,*) name,'Setting a%remote_build ',& !!$ & bldmode_,psb_matbld_noremote_,psb_matbld_remote_ - a%remote_build = bldmode_ - - select case(a%remote_build) - case (psb_matbld_noremote_) - ! nothing needed - !write(0,*) name,' matbld_noremote_ nothing needed' - case (psb_matbld_remote_) - !write(0,*) name,' matbld_remote_ start ' + call a%set_remote_build(bldmode_) + if (a%is_remote_build()) then allocate(a%rmta) nnzrmt_ = max(100,(nnz_/100)) call a%rmta%allocate(m,n,nnzrmt_) - - case default - write(0,*) name,'Invalid value for remote_build ' - a%remote_build = psb_matbld_noremote_ - end select + end if + +!!$ a%remote_build = bldmode_ +!!$ select case(a%remote_build) +!!$ case (psb_matbld_noremote_) +!!$ ! nothing needed +!!$ !write(0,*) name,' matbld_noremote_ nothing needed' +!!$ case (psb_matbld_remote_) +!!$ !write(0,*) name,' matbld_remote_ start ' +!!$ allocate(a%rmta) +!!$ nnzrmt_ = max(100,(nnz_/100)) +!!$ call a%rmta%allocate(m,n,nnzrmt_) +!!$ +!!$ case default +!!$ write(0,*) name,'Invalid value for remote_build ' +!!$ a%remote_build = psb_matbld_noremote_ +!!$ end select if (debug_level >= psb_debug_ext_) & & write(debug_unit,*) me,' ',trim(name),': ', & diff --git a/base/tools/psb_dspasb.f90 b/base/tools/psb_dspasb.f90 index d82f5efe..fdf1d16c 100644 --- a/base/tools/psb_dspasb.f90 +++ b/base/tools/psb_dspasb.f90 @@ -106,11 +106,7 @@ subroutine psb_dspasb(a,desc_a, info, afmt, upd, dupl, mold) ! ! First case: we come from a fresh build. ! - - select case(a%remote_build) - case (psb_matbld_noremote_) - ! nothing needed - case (psb_matbld_remote_) + if (a%is_remote_build()) then !write(0,*) me,name,' Size of rmta:',a%rmta%get_nzeros() block type(psb_ld_coo_sparse_mat) :: a_add @@ -143,11 +139,42 @@ subroutine psb_dspasb(a,desc_a, info, afmt, upd, dupl, mold) if (nzt > 0) call psb_cdasb(desc_a,info,mold=ivm) end block - end select - call a%set_ncols(desc_a%get_local_cols()) - + end if + call a%set_ncols(desc_a%get_local_cols()) call a%cscnv(info,type=afmt,dupl=dupl, mold=mold) else if (a%is_upd()) then + if (a%is_remote_build()) then + !write(0,*) me,name,' Size of rmta:',a%rmta%get_nzeros() + block + type(psb_ld_coo_sparse_mat) :: a_add + integer(psb_ipk_), allocatable :: ila(:), jla(:) + integer(psb_ipk_) :: nz, nzt,k + call psb_remote_mat(a%rmta,desc_a,a_add,info) + nz = a_add%get_nzeros() +!!$ write(0,*) me,name,' Nz to be added',nz + nzt = nz + call psb_sum(ctxt,nzt) + if (nzt>0) then + allocate(ivm, mold=desc_a%v_halo_index%v) + call psb_cd_reinit(desc_a, info) + end if + if (nz > 0) then + ! + ! Should we check for new indices here? + ! + call psb_realloc(nz,ila,info) + call psb_realloc(nz,jla,info) + call desc_a%indxmap%g2l(a_add%ia(1:nz),ila(1:nz),info,owned=.true.) + if (info == 0) call desc_a%indxmap%g2l_ins(a_add%ja(1:nz),jla(1:nz),info) + !write(0,*) me,name,' Check before insert',a%get_nzeros() + n_row = desc_a%get_local_rows() + n_col = desc_a%get_local_cols() + call a%set_ncols(desc_a%get_local_cols()) + call a%csput(nz,ila,jla,a_add%val,ione,n_row,ione,n_col,info) + !write(0,*) me,name,' Check after insert',a%get_nzeros(),nz + end if + end block + end if call a%asb(mold=mold) else info = psb_err_invalid_mat_state_ diff --git a/base/tools/psb_dspins.F90 b/base/tools/psb_dspins.F90 index 064b816c..2a70ab83 100644 --- a/base/tools/psb_dspins.F90 +++ b/base/tools/psb_dspins.F90 @@ -151,11 +151,8 @@ subroutine psb_dspins(nz,ia,ja,val,a,desc_a,info,rebuild,local) call psb_errpush(info,name,a_err='a%csput') goto 9999 end if - - select case(a%remote_build) - case (psb_matbld_noremote_) - ! Do nothing - case (psb_matbld_remote_) + + if (a%is_remote_build()) then nnl = count(ila(1:nz)<0) if (nnl > 0) then !write(0,*) 'Check on insert ',nnl @@ -173,9 +170,7 @@ subroutine psb_dspins(nz,ia,ja,val,a,desc_a,info,rebuild,local) call a%rmta%csput(nnl,lila,ljla,lval,1_psb_lpk_,desc_a%get_global_rows(),& & 1_psb_lpk_,desc_a%get_global_rows(),info) end if - case default - write(0,*) name,' Ignoring wrong value for %remote_build' - end select + end if else info = psb_err_invalid_a_and_cd_state_ @@ -208,10 +203,7 @@ subroutine psb_dspins(nz,ia,ja,val,a,desc_a,info,rebuild,local) call psb_errpush(info,name,a_err='a%csput') goto 9999 end if - select case(a%remote_build) - case (psb_matbld_noremote_) - ! Do nothing - case (psb_matbld_remote_) + if (a%is_remote_build()) then nnl = count(ila(1:nz)<0) if (nnl > 0) then !write(0,*) 'Check on insert ',nnl @@ -229,10 +221,7 @@ subroutine psb_dspins(nz,ia,ja,val,a,desc_a,info,rebuild,local) call a%rmta%csput(nnl,lila,ljla,lval,1_psb_lpk_,desc_a%get_global_rows(),& & 1_psb_lpk_,desc_a%get_global_rows(),info) end if - case default - write(0,*) name,' Ignoring wrong value for %remote_build' - end select - + end if else info = psb_err_invalid_cd_state_ call psb_errpush(info,name) diff --git a/base/tools/psb_iasb.f90 b/base/tools/psb_iasb.f90 index d0cf2d83..8c3db6d6 100644 --- a/base/tools/psb_iasb.f90 +++ b/base/tools/psb_iasb.f90 @@ -51,7 +51,7 @@ ! scratch - logical, optional If true, allocate without checking/zeroing contents. ! default: .false. ! -subroutine psb_iasb_vect(x, desc_a, info, mold, scratch) +subroutine psb_iasb_vect(x, desc_a, info, mold, dupl,scratch) use psb_base_mod, psb_protect_name => psb_iasb_vect implicit none @@ -59,12 +59,13 @@ subroutine psb_iasb_vect(x, desc_a, info, mold, scratch) type(psb_i_vect_type), intent(inout) :: x integer(psb_ipk_), intent(out) :: info class(psb_i_base_vect_type), intent(in), optional :: mold + integer(psb_ipk_), optional, intent(in) :: dupl logical, intent(in), optional :: scratch ! local variables type(psb_ctxt_type) :: ctxt integer(psb_ipk_) :: np,me - integer(psb_ipk_) :: i1sz,nrow,ncol, err_act + integer(psb_ipk_) :: i1sz,nrow,ncol, err_act, dupl_ logical :: scratch_ integer(psb_ipk_) :: debug_level, debug_unit character(len=20) :: name,ch_err @@ -82,6 +83,11 @@ subroutine psb_iasb_vect(x, desc_a, info, mold, scratch) scratch_ = .false. if (present(scratch)) scratch_ = scratch + if (present(dupl)) then + dupl_ = dupl + else + dupl_ = psb_dupl_ovwrt_ + endif call psb_info(ctxt, me, np) ! ....verify blacs grid correctness.. @@ -104,6 +110,7 @@ subroutine psb_iasb_vect(x, desc_a, info, mold, scratch) call x%free(info) call x%bld(ncol,mold=mold) else + if (x%is_remote_build()) call psb_i_remote_vect(x,desc_a,dupl_, info) call x%asb(ncol,info) ! ..update halo elements.. call psb_halo(x,desc_a,info) diff --git a/base/tools/psb_iins.f90 b/base/tools/psb_iins.f90 index c9c0ed9b..3f72494e 100644 --- a/base/tools/psb_iins.f90 +++ b/base/tools/psb_iins.f90 @@ -112,7 +112,6 @@ subroutine psb_iins_vect(m, irw, val, x, desc_a, info, dupl,local) endif - allocate(irl(m),stat=info) if (info /= psb_success_) then info = psb_err_alloc_dealloc_ diff --git a/base/tools/psb_lasb.f90 b/base/tools/psb_lasb.f90 index 1618abdb..529dbe44 100644 --- a/base/tools/psb_lasb.f90 +++ b/base/tools/psb_lasb.f90 @@ -51,7 +51,7 @@ ! scratch - logical, optional If true, allocate without checking/zeroing contents. ! default: .false. ! -subroutine psb_lasb_vect(x, desc_a, info, mold, scratch) +subroutine psb_lasb_vect(x, desc_a, info, mold, dupl,scratch) use psb_base_mod, psb_protect_name => psb_lasb_vect implicit none @@ -59,12 +59,13 @@ subroutine psb_lasb_vect(x, desc_a, info, mold, scratch) type(psb_l_vect_type), intent(inout) :: x integer(psb_ipk_), intent(out) :: info class(psb_l_base_vect_type), intent(in), optional :: mold + integer(psb_ipk_), optional, intent(in) :: dupl logical, intent(in), optional :: scratch ! local variables type(psb_ctxt_type) :: ctxt integer(psb_ipk_) :: np,me - integer(psb_ipk_) :: i1sz,nrow,ncol, err_act + integer(psb_ipk_) :: i1sz,nrow,ncol, err_act, dupl_ logical :: scratch_ integer(psb_ipk_) :: debug_level, debug_unit character(len=20) :: name,ch_err @@ -82,6 +83,11 @@ subroutine psb_lasb_vect(x, desc_a, info, mold, scratch) scratch_ = .false. if (present(scratch)) scratch_ = scratch + if (present(dupl)) then + dupl_ = dupl + else + dupl_ = psb_dupl_ovwrt_ + endif call psb_info(ctxt, me, np) ! ....verify blacs grid correctness.. @@ -104,6 +110,7 @@ subroutine psb_lasb_vect(x, desc_a, info, mold, scratch) call x%free(info) call x%bld(ncol,mold=mold) else + if (x%is_remote_build()) call psb_l_remote_vect(x,desc_a,dupl_, info) call x%asb(ncol,info) ! ..update halo elements.. call psb_halo(x,desc_a,info) diff --git a/base/tools/psb_lins.f90 b/base/tools/psb_lins.f90 index 42559a94..27478f0a 100644 --- a/base/tools/psb_lins.f90 +++ b/base/tools/psb_lins.f90 @@ -112,7 +112,6 @@ subroutine psb_lins_vect(m, irw, val, x, desc_a, info, dupl,local) endif - allocate(irl(m),stat=info) if (info /= psb_success_) then info = psb_err_alloc_dealloc_ diff --git a/base/tools/psb_s_remote_mat.F90 b/base/tools/psb_s_remote_mat.F90 index 26b12652..0c9e0307 100644 --- a/base/tools/psb_s_remote_mat.F90 +++ b/base/tools/psb_s_remote_mat.F90 @@ -29,9 +29,9 @@ ! POSSIBILITY OF SUCH DAMAGE. ! ! -! File: psb_ssphalo.f90 +! File: psb_s_remote_mat.f90 ! -! Subroutine: psb_ssphalo psb_lssphalo +! Subroutine: ! This routine does the retrieval of remote matrix rows. ! Retrieval is done through GETROW, therefore it should work ! for any matrix format in A; as for the output, default is CSR. @@ -278,3 +278,221 @@ Subroutine psb_ls_remote_mat(a,desc_a,b,info) End Subroutine psb_ls_remote_mat + +subroutine psb_s_remote_vect(v,desc_a, info, dupl) + use psb_base_mod, psb_protect_name => psb_s_remote_vect + +#ifdef MPI_MOD + use mpi +#endif + Implicit None +#ifdef MPI_H + include 'mpif.h' +#endif + + type(psb_s_vect_type),Intent(inout) :: v + type(psb_desc_type),intent(in) :: desc_a + integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_),optional, intent(in) :: dupl + + ! ...local scalars.... + type(psb_ctxt_type) :: ctxt + integer(psb_ipk_) :: np,me + integer(psb_ipk_) :: counter, proc, i, n_el_send,n_el_recv, & + & n_elem, j, ipx,mat_recv, idxs,idxr,& + & data_,totxch,nxs, nxr, ncg, dupl_ + integer(psb_lpk_) :: r, k, irmin, irmax, icmin, icmax, iszs, iszr, & + & lidx, l1, lnr, lnc, lnnz, idx, ngtz, tot_elem + integer(psb_lpk_) :: nz,nouth + integer(psb_ipk_) :: nnp, nrcvs, nsnds + integer(psb_mpk_) :: icomm, minfo + integer(psb_mpk_), allocatable :: brvindx(:), & + & rvsz(:), bsdindx(:),sdsz(:), sdsi(:), rvsi(:) + integer(psb_lpk_), allocatable :: iasnd(:), jasnd(:) + real(psb_spk_), allocatable :: valsnd(:) + integer(psb_ipk_), allocatable :: ladj(:), ila(:), iprc(:) + logical :: rowcnv_,colcnv_,rowscale_,colscale_ + character(len=5) :: outfmt_ + integer(psb_ipk_) :: debug_level, debug_unit, err_act + character(len=20) :: name, ch_err + + info=psb_success_ + name='psb_s_remote_vect' + call psb_erractionsave(err_act) + if (psb_errstatus_fatal()) then + info = psb_err_internal_error_ ; goto 9999 + end if + debug_unit = psb_get_debug_unit() + debug_level = psb_get_debug_level() + + if (present(dupl)) then + dupl_ = dupl + else + if (v%is_remote_build()) then + dupl_ = psb_dupl_add_ + else + dupl_ = psb_dupl_ovwrt_ + end if + endif + + ctxt = desc_a%get_context() + icomm = desc_a%get_mpic() + + Call psb_info(ctxt, me, np) + + if (debug_level >= psb_debug_outer_) & + & write(debug_unit,*) me,' ',trim(name),': Start' + write(0,*) me, 'X_remote_vect implementation to be completed ' + +!!$ call b%free() +!!$ +!!$ Allocate(rvsz(np),sdsz(np),sdsi(np),rvsi(np),brvindx(np+1),& +!!$ & bsdindx(np+1), acoo,stat=info) +!!$ +!!$ if (info /= psb_success_) then +!!$ info=psb_err_alloc_dealloc_ +!!$ call psb_errpush(info,name) +!!$ goto 9999 +!!$ end if +!!$ +!!$ +!!$ nz = a%get_nzeros() +!!$ allocate(ila(nz)) +!!$ !write(0,*) me,name,' size :',nz,size(ila) +!!$ call desc_a%g2l(a%ia(1:nz),ila(1:nz),info,owned=.false.) +!!$ nouth = count(ila(1:nz)<0) +!!$ !write(0,*) me,name,' Count out of halo :',nouth +!!$ call psb_max(ctxt,nouth) +!!$ if ((nouth/=0).and.(me==0)) & +!!$ & write(0,*) 'Warning: would require reinit of DESC_A' +!!$ +!!$ call psi_graph_fnd_owner(a%ia(1:nz),iprc,ladj,desc_a%indxmap,info) +!!$ call psb_msort_unique(ladj,nnp) +!!$ !write(0,*) me,name,' Processes:',ladj(1:nnp) +!!$ +!!$ icomm = desc_a%get_mpic() +!!$ sdsz(:)=0 +!!$ rvsz(:)=0 +!!$ sdsi(:)=0 +!!$ rvsi(:)=0 +!!$ ipx = 1 +!!$ brvindx(:) = 0 +!!$ bsdindx(:) = 0 +!!$ counter=1 +!!$ idx = 0 +!!$ idxs = 0 +!!$ idxr = 0 +!!$ do i=1,nz +!!$ if (iprc(i) >=0) then +!!$ sdsz(iprc(i)+1) = sdsz(iprc(i)+1) +1 +!!$ else +!!$ write(0,*)me,name,' Error from fnd_owner: ',iprc(i) +!!$ end if +!!$ end do +!!$ call mpi_alltoall(sdsz,1,psb_mpi_mpk_,& +!!$ & rvsz,1,psb_mpi_mpk_,icomm,minfo) +!!$ if (minfo /= psb_success_) then +!!$ info=psb_err_from_subroutine_ +!!$ call psb_errpush(info,name,a_err='mpi_alltoall') +!!$ goto 9999 +!!$ end if +!!$ !write(0,*)me,name,' sdsz ',sdsz(:),' rvsz:',rvsz(:) +!!$ nsnds = count(sdsz /= 0) +!!$ nrcvs = count(rvsz /= 0) +!!$ idxs = 0 +!!$ idxr = 0 +!!$ counter = 1 +!!$ Do proc=0,np-1 +!!$ bsdindx(proc+1) = idxs +!!$ idxs = idxs + sdsz(proc+1) +!!$ brvindx(proc+1) = idxr +!!$ idxr = idxr + rvsz(proc+1) +!!$ Enddo +!!$ +!!$ iszs = sum(sdsz) +!!$ iszr = sum(rvsz) +!!$ call acoo%allocate(desc_a%get_global_rows(),desc_a%get_global_cols(),iszr) +!!$ if (psb_errstatus_fatal()) then +!!$ write(0,*) 'Error from acoo%allocate ' +!!$ info = 4010 +!!$ goto 9999 +!!$ end if +!!$ if (debug_level >= psb_debug_outer_)& +!!$ & write(debug_unit,*) me,' ',trim(name),': Sizes:',acoo%get_size(),& +!!$ & ' Send:',sdsz(:),' Receive:',rvsz(:) +!!$ !write(debug_unit,*) me,' ',trim(name),': ',info +!!$ if (info == psb_success_) call psb_ensure_size(max(iszs,1),iasnd,info) +!!$ !write(debug_unit,*) me,' ',trim(name),' iasnd: ',info +!!$ if (info == psb_success_) call psb_ensure_size(max(iszs,1),jasnd,info) +!!$ !write(debug_unit,*) me,' ',trim(name),' jasnd: ',info +!!$ if (info == psb_success_) call psb_ensure_size(max(iszs,1),valsnd,info) +!!$ !write(debug_unit,*) me,' ',trim(name),' valsnd: ',info +!!$ if (info /= psb_success_) then +!!$ info=psb_err_from_subroutine_ +!!$ call psb_errpush(info,name,a_err='ensure_size') +!!$ goto 9999 +!!$ end if +!!$ do k=1, nz +!!$ proc = iprc(k) +!!$ sdsi(proc+1) = sdsi(proc+1) + 1 +!!$ !rvsi(proc) = rvsi(proc) + 1 +!!$ iasnd(bsdindx(proc+1)+sdsi(proc+1)) = a%ia(k) +!!$ jasnd(bsdindx(proc+1)+sdsi(proc+1)) = a%ja(k) +!!$ valsnd(bsdindx(proc+1)+sdsi(proc+1)) = a%val(k) +!!$ end do +!!$ do proc=0,np-1 +!!$ if (sdsi(proc+1) /= sdsz(proc+1)) & +!!$ & write(0,*) me,name,'Send mismacth ',sdsi(proc+1),sdsz(proc+1) +!!$ end do +!!$ +!!$ select case(psb_get_sp_a2av_alg()) +!!$ case(psb_sp_a2av_smpl_triad_) +!!$ call psb_simple_triad_a2av(valsnd,iasnd,jasnd,sdsz,bsdindx,& +!!$ & acoo%val,acoo%ia,acoo%ja,rvsz,brvindx,ctxt,info) +!!$ case(psb_sp_a2av_smpl_v_) +!!$ call psb_simple_a2av(valsnd,sdsz,bsdindx,& +!!$ & acoo%val,rvsz,brvindx,ctxt,info) +!!$ if (info == psb_success_) call psb_simple_a2av(iasnd,sdsz,bsdindx,& +!!$ & acoo%ia,rvsz,brvindx,ctxt,info) +!!$ if (info == psb_success_) call psb_simple_a2av(jasnd,sdsz,bsdindx,& +!!$ & acoo%ja,rvsz,brvindx,ctxt,info) +!!$ case(psb_sp_a2av_mpi_) +!!$ +!!$ call mpi_alltoallv(valsnd,sdsz,bsdindx,psb_mpi_r_spk_,& +!!$ & acoo%val,rvsz,brvindx,psb_mpi_r_spk_,icomm,minfo) +!!$ if (minfo == mpi_success) & +!!$ & call mpi_alltoallv(iasnd,sdsz,bsdindx,psb_mpi_lpk_,& +!!$ & acoo%ia,rvsz,brvindx,psb_mpi_lpk_,icomm,minfo) +!!$ if (minfo == mpi_success) & +!!$ & call mpi_alltoallv(jasnd,sdsz,bsdindx,psb_mpi_lpk_,& +!!$ & acoo%ja,rvsz,brvindx,psb_mpi_lpk_,icomm,minfo) +!!$ if (minfo /= mpi_success) info = minfo +!!$ case default +!!$ info = psb_err_internal_error_ +!!$ call psb_errpush(info,name,a_err='wrong A2AV alg selector') +!!$ goto 9999 +!!$ end select +!!$ +!!$ if (info /= psb_success_) then +!!$ info=psb_err_from_subroutine_ +!!$ call psb_errpush(info,name,a_err='alltoallv') +!!$ goto 9999 +!!$ end if +!!$ call acoo%set_nzeros(iszr) +!!$ call acoo%mv_to_coo(b,info) +!!$ +!!$ Deallocate(brvindx,bsdindx,rvsz,sdsz,& +!!$ & iasnd,jasnd,valsnd,stat=info) +!!$ if (debug_level >= psb_debug_outer_)& +!!$ & write(debug_unit,*) me,' ',trim(name),': Done' + + call psb_erractionrestore(err_act) + return + +9999 call psb_error_handler(ctxt,err_act) + + return + +End Subroutine psb_s_remote_vect + + diff --git a/base/tools/psb_sasb.f90 b/base/tools/psb_sasb.f90 index ac3a0684..b13f095a 100644 --- a/base/tools/psb_sasb.f90 +++ b/base/tools/psb_sasb.f90 @@ -51,7 +51,7 @@ ! scratch - logical, optional If true, allocate without checking/zeroing contents. ! default: .false. ! -subroutine psb_sasb_vect(x, desc_a, info, mold, scratch) +subroutine psb_sasb_vect(x, desc_a, info, mold, dupl,scratch) use psb_base_mod, psb_protect_name => psb_sasb_vect implicit none @@ -59,12 +59,13 @@ subroutine psb_sasb_vect(x, desc_a, info, mold, scratch) type(psb_s_vect_type), intent(inout) :: x integer(psb_ipk_), intent(out) :: info class(psb_s_base_vect_type), intent(in), optional :: mold + integer(psb_ipk_), optional, intent(in) :: dupl logical, intent(in), optional :: scratch ! local variables type(psb_ctxt_type) :: ctxt integer(psb_ipk_) :: np,me - integer(psb_ipk_) :: i1sz,nrow,ncol, err_act + integer(psb_ipk_) :: i1sz,nrow,ncol, err_act, dupl_ logical :: scratch_ integer(psb_ipk_) :: debug_level, debug_unit character(len=20) :: name,ch_err @@ -82,6 +83,11 @@ subroutine psb_sasb_vect(x, desc_a, info, mold, scratch) scratch_ = .false. if (present(scratch)) scratch_ = scratch + if (present(dupl)) then + dupl_ = dupl + else + dupl_ = psb_dupl_ovwrt_ + endif call psb_info(ctxt, me, np) ! ....verify blacs grid correctness.. @@ -104,6 +110,7 @@ subroutine psb_sasb_vect(x, desc_a, info, mold, scratch) call x%free(info) call x%bld(ncol,mold=mold) else + if (x%is_remote_build()) call psb_s_remote_vect(x,desc_a,dupl_, info) call x%asb(ncol,info) ! ..update halo elements.. call psb_halo(x,desc_a,info) diff --git a/base/tools/psb_sins.f90 b/base/tools/psb_sins.f90 index cb878c64..2ef44c85 100644 --- a/base/tools/psb_sins.f90 +++ b/base/tools/psb_sins.f90 @@ -112,7 +112,6 @@ subroutine psb_sins_vect(m, irw, val, x, desc_a, info, dupl,local) endif - allocate(irl(m),stat=info) if (info /= psb_success_) then info = psb_err_alloc_dealloc_ diff --git a/base/tools/psb_sspalloc.f90 b/base/tools/psb_sspalloc.f90 index 14e784da..bcaee92b 100644 --- a/base/tools/psb_sspalloc.f90 +++ b/base/tools/psb_sspalloc.f90 @@ -116,22 +116,28 @@ subroutine psb_sspalloc(a, desc_a, info, nnz, bldmode) !!$ write(0,*) name,'Setting a%remote_build ',& !!$ & bldmode_,psb_matbld_noremote_,psb_matbld_remote_ - a%remote_build = bldmode_ - - select case(a%remote_build) - case (psb_matbld_noremote_) - ! nothing needed - !write(0,*) name,' matbld_noremote_ nothing needed' - case (psb_matbld_remote_) - !write(0,*) name,' matbld_remote_ start ' + call a%set_remote_build(bldmode_) + if (a%is_remote_build()) then allocate(a%rmta) nnzrmt_ = max(100,(nnz_/100)) call a%rmta%allocate(m,n,nnzrmt_) - - case default - write(0,*) name,'Invalid value for remote_build ' - a%remote_build = psb_matbld_noremote_ - end select + end if + +!!$ a%remote_build = bldmode_ +!!$ select case(a%remote_build) +!!$ case (psb_matbld_noremote_) +!!$ ! nothing needed +!!$ !write(0,*) name,' matbld_noremote_ nothing needed' +!!$ case (psb_matbld_remote_) +!!$ !write(0,*) name,' matbld_remote_ start ' +!!$ allocate(a%rmta) +!!$ nnzrmt_ = max(100,(nnz_/100)) +!!$ call a%rmta%allocate(m,n,nnzrmt_) +!!$ +!!$ case default +!!$ write(0,*) name,'Invalid value for remote_build ' +!!$ a%remote_build = psb_matbld_noremote_ +!!$ end select if (debug_level >= psb_debug_ext_) & & write(debug_unit,*) me,' ',trim(name),': ', & diff --git a/base/tools/psb_sspasb.f90 b/base/tools/psb_sspasb.f90 index 87372d01..cd2cdfa9 100644 --- a/base/tools/psb_sspasb.f90 +++ b/base/tools/psb_sspasb.f90 @@ -106,11 +106,7 @@ subroutine psb_sspasb(a,desc_a, info, afmt, upd, dupl, mold) ! ! First case: we come from a fresh build. ! - - select case(a%remote_build) - case (psb_matbld_noremote_) - ! nothing needed - case (psb_matbld_remote_) + if (a%is_remote_build()) then !write(0,*) me,name,' Size of rmta:',a%rmta%get_nzeros() block type(psb_ls_coo_sparse_mat) :: a_add @@ -143,11 +139,42 @@ subroutine psb_sspasb(a,desc_a, info, afmt, upd, dupl, mold) if (nzt > 0) call psb_cdasb(desc_a,info,mold=ivm) end block - end select - call a%set_ncols(desc_a%get_local_cols()) - + end if + call a%set_ncols(desc_a%get_local_cols()) call a%cscnv(info,type=afmt,dupl=dupl, mold=mold) else if (a%is_upd()) then + if (a%is_remote_build()) then + !write(0,*) me,name,' Size of rmta:',a%rmta%get_nzeros() + block + type(psb_ls_coo_sparse_mat) :: a_add + integer(psb_ipk_), allocatable :: ila(:), jla(:) + integer(psb_ipk_) :: nz, nzt,k + call psb_remote_mat(a%rmta,desc_a,a_add,info) + nz = a_add%get_nzeros() +!!$ write(0,*) me,name,' Nz to be added',nz + nzt = nz + call psb_sum(ctxt,nzt) + if (nzt>0) then + allocate(ivm, mold=desc_a%v_halo_index%v) + call psb_cd_reinit(desc_a, info) + end if + if (nz > 0) then + ! + ! Should we check for new indices here? + ! + call psb_realloc(nz,ila,info) + call psb_realloc(nz,jla,info) + call desc_a%indxmap%g2l(a_add%ia(1:nz),ila(1:nz),info,owned=.true.) + if (info == 0) call desc_a%indxmap%g2l_ins(a_add%ja(1:nz),jla(1:nz),info) + !write(0,*) me,name,' Check before insert',a%get_nzeros() + n_row = desc_a%get_local_rows() + n_col = desc_a%get_local_cols() + call a%set_ncols(desc_a%get_local_cols()) + call a%csput(nz,ila,jla,a_add%val,ione,n_row,ione,n_col,info) + !write(0,*) me,name,' Check after insert',a%get_nzeros(),nz + end if + end block + end if call a%asb(mold=mold) else info = psb_err_invalid_mat_state_ diff --git a/base/tools/psb_sspins.F90 b/base/tools/psb_sspins.F90 index e49e7423..aee7a900 100644 --- a/base/tools/psb_sspins.F90 +++ b/base/tools/psb_sspins.F90 @@ -151,11 +151,8 @@ subroutine psb_sspins(nz,ia,ja,val,a,desc_a,info,rebuild,local) call psb_errpush(info,name,a_err='a%csput') goto 9999 end if - - select case(a%remote_build) - case (psb_matbld_noremote_) - ! Do nothing - case (psb_matbld_remote_) + + if (a%is_remote_build()) then nnl = count(ila(1:nz)<0) if (nnl > 0) then !write(0,*) 'Check on insert ',nnl @@ -173,9 +170,7 @@ subroutine psb_sspins(nz,ia,ja,val,a,desc_a,info,rebuild,local) call a%rmta%csput(nnl,lila,ljla,lval,1_psb_lpk_,desc_a%get_global_rows(),& & 1_psb_lpk_,desc_a%get_global_rows(),info) end if - case default - write(0,*) name,' Ignoring wrong value for %remote_build' - end select + end if else info = psb_err_invalid_a_and_cd_state_ @@ -208,10 +203,7 @@ subroutine psb_sspins(nz,ia,ja,val,a,desc_a,info,rebuild,local) call psb_errpush(info,name,a_err='a%csput') goto 9999 end if - select case(a%remote_build) - case (psb_matbld_noremote_) - ! Do nothing - case (psb_matbld_remote_) + if (a%is_remote_build()) then nnl = count(ila(1:nz)<0) if (nnl > 0) then !write(0,*) 'Check on insert ',nnl @@ -229,10 +221,7 @@ subroutine psb_sspins(nz,ia,ja,val,a,desc_a,info,rebuild,local) call a%rmta%csput(nnl,lila,ljla,lval,1_psb_lpk_,desc_a%get_global_rows(),& & 1_psb_lpk_,desc_a%get_global_rows(),info) end if - case default - write(0,*) name,' Ignoring wrong value for %remote_build' - end select - + end if else info = psb_err_invalid_cd_state_ call psb_errpush(info,name) diff --git a/base/tools/psb_z_remote_mat.F90 b/base/tools/psb_z_remote_mat.F90 index 7b2ade7c..2f5c05a7 100644 --- a/base/tools/psb_z_remote_mat.F90 +++ b/base/tools/psb_z_remote_mat.F90 @@ -29,9 +29,9 @@ ! POSSIBILITY OF SUCH DAMAGE. ! ! -! File: psb_zsphalo.f90 +! File: psb_z_remote_mat.f90 ! -! Subroutine: psb_zsphalo psb_lzsphalo +! Subroutine: ! This routine does the retrieval of remote matrix rows. ! Retrieval is done through GETROW, therefore it should work ! for any matrix format in A; as for the output, default is CSR. @@ -278,3 +278,221 @@ Subroutine psb_lz_remote_mat(a,desc_a,b,info) End Subroutine psb_lz_remote_mat + +subroutine psb_z_remote_vect(v,desc_a, info, dupl) + use psb_base_mod, psb_protect_name => psb_z_remote_vect + +#ifdef MPI_MOD + use mpi +#endif + Implicit None +#ifdef MPI_H + include 'mpif.h' +#endif + + type(psb_z_vect_type),Intent(inout) :: v + type(psb_desc_type),intent(in) :: desc_a + integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_),optional, intent(in) :: dupl + + ! ...local scalars.... + type(psb_ctxt_type) :: ctxt + integer(psb_ipk_) :: np,me + integer(psb_ipk_) :: counter, proc, i, n_el_send,n_el_recv, & + & n_elem, j, ipx,mat_recv, idxs,idxr,& + & data_,totxch,nxs, nxr, ncg, dupl_ + integer(psb_lpk_) :: r, k, irmin, irmax, icmin, icmax, iszs, iszr, & + & lidx, l1, lnr, lnc, lnnz, idx, ngtz, tot_elem + integer(psb_lpk_) :: nz,nouth + integer(psb_ipk_) :: nnp, nrcvs, nsnds + integer(psb_mpk_) :: icomm, minfo + integer(psb_mpk_), allocatable :: brvindx(:), & + & rvsz(:), bsdindx(:),sdsz(:), sdsi(:), rvsi(:) + integer(psb_lpk_), allocatable :: iasnd(:), jasnd(:) + complex(psb_dpk_), allocatable :: valsnd(:) + integer(psb_ipk_), allocatable :: ladj(:), ila(:), iprc(:) + logical :: rowcnv_,colcnv_,rowscale_,colscale_ + character(len=5) :: outfmt_ + integer(psb_ipk_) :: debug_level, debug_unit, err_act + character(len=20) :: name, ch_err + + info=psb_success_ + name='psb_z_remote_vect' + call psb_erractionsave(err_act) + if (psb_errstatus_fatal()) then + info = psb_err_internal_error_ ; goto 9999 + end if + debug_unit = psb_get_debug_unit() + debug_level = psb_get_debug_level() + + if (present(dupl)) then + dupl_ = dupl + else + if (v%is_remote_build()) then + dupl_ = psb_dupl_add_ + else + dupl_ = psb_dupl_ovwrt_ + end if + endif + + ctxt = desc_a%get_context() + icomm = desc_a%get_mpic() + + Call psb_info(ctxt, me, np) + + if (debug_level >= psb_debug_outer_) & + & write(debug_unit,*) me,' ',trim(name),': Start' + write(0,*) me, 'X_remote_vect implementation to be completed ' + +!!$ call b%free() +!!$ +!!$ Allocate(rvsz(np),sdsz(np),sdsi(np),rvsi(np),brvindx(np+1),& +!!$ & bsdindx(np+1), acoo,stat=info) +!!$ +!!$ if (info /= psb_success_) then +!!$ info=psb_err_alloc_dealloc_ +!!$ call psb_errpush(info,name) +!!$ goto 9999 +!!$ end if +!!$ +!!$ +!!$ nz = a%get_nzeros() +!!$ allocate(ila(nz)) +!!$ !write(0,*) me,name,' size :',nz,size(ila) +!!$ call desc_a%g2l(a%ia(1:nz),ila(1:nz),info,owned=.false.) +!!$ nouth = count(ila(1:nz)<0) +!!$ !write(0,*) me,name,' Count out of halo :',nouth +!!$ call psb_max(ctxt,nouth) +!!$ if ((nouth/=0).and.(me==0)) & +!!$ & write(0,*) 'Warning: would require reinit of DESC_A' +!!$ +!!$ call psi_graph_fnd_owner(a%ia(1:nz),iprc,ladj,desc_a%indxmap,info) +!!$ call psb_msort_unique(ladj,nnp) +!!$ !write(0,*) me,name,' Processes:',ladj(1:nnp) +!!$ +!!$ icomm = desc_a%get_mpic() +!!$ sdsz(:)=0 +!!$ rvsz(:)=0 +!!$ sdsi(:)=0 +!!$ rvsi(:)=0 +!!$ ipx = 1 +!!$ brvindx(:) = 0 +!!$ bsdindx(:) = 0 +!!$ counter=1 +!!$ idx = 0 +!!$ idxs = 0 +!!$ idxr = 0 +!!$ do i=1,nz +!!$ if (iprc(i) >=0) then +!!$ sdsz(iprc(i)+1) = sdsz(iprc(i)+1) +1 +!!$ else +!!$ write(0,*)me,name,' Error from fnd_owner: ',iprc(i) +!!$ end if +!!$ end do +!!$ call mpi_alltoall(sdsz,1,psb_mpi_mpk_,& +!!$ & rvsz,1,psb_mpi_mpk_,icomm,minfo) +!!$ if (minfo /= psb_success_) then +!!$ info=psb_err_from_subroutine_ +!!$ call psb_errpush(info,name,a_err='mpi_alltoall') +!!$ goto 9999 +!!$ end if +!!$ !write(0,*)me,name,' sdsz ',sdsz(:),' rvsz:',rvsz(:) +!!$ nsnds = count(sdsz /= 0) +!!$ nrcvs = count(rvsz /= 0) +!!$ idxs = 0 +!!$ idxr = 0 +!!$ counter = 1 +!!$ Do proc=0,np-1 +!!$ bsdindx(proc+1) = idxs +!!$ idxs = idxs + sdsz(proc+1) +!!$ brvindx(proc+1) = idxr +!!$ idxr = idxr + rvsz(proc+1) +!!$ Enddo +!!$ +!!$ iszs = sum(sdsz) +!!$ iszr = sum(rvsz) +!!$ call acoo%allocate(desc_a%get_global_rows(),desc_a%get_global_cols(),iszr) +!!$ if (psb_errstatus_fatal()) then +!!$ write(0,*) 'Error from acoo%allocate ' +!!$ info = 4010 +!!$ goto 9999 +!!$ end if +!!$ if (debug_level >= psb_debug_outer_)& +!!$ & write(debug_unit,*) me,' ',trim(name),': Sizes:',acoo%get_size(),& +!!$ & ' Send:',sdsz(:),' Receive:',rvsz(:) +!!$ !write(debug_unit,*) me,' ',trim(name),': ',info +!!$ if (info == psb_success_) call psb_ensure_size(max(iszs,1),iasnd,info) +!!$ !write(debug_unit,*) me,' ',trim(name),' iasnd: ',info +!!$ if (info == psb_success_) call psb_ensure_size(max(iszs,1),jasnd,info) +!!$ !write(debug_unit,*) me,' ',trim(name),' jasnd: ',info +!!$ if (info == psb_success_) call psb_ensure_size(max(iszs,1),valsnd,info) +!!$ !write(debug_unit,*) me,' ',trim(name),' valsnd: ',info +!!$ if (info /= psb_success_) then +!!$ info=psb_err_from_subroutine_ +!!$ call psb_errpush(info,name,a_err='ensure_size') +!!$ goto 9999 +!!$ end if +!!$ do k=1, nz +!!$ proc = iprc(k) +!!$ sdsi(proc+1) = sdsi(proc+1) + 1 +!!$ !rvsi(proc) = rvsi(proc) + 1 +!!$ iasnd(bsdindx(proc+1)+sdsi(proc+1)) = a%ia(k) +!!$ jasnd(bsdindx(proc+1)+sdsi(proc+1)) = a%ja(k) +!!$ valsnd(bsdindx(proc+1)+sdsi(proc+1)) = a%val(k) +!!$ end do +!!$ do proc=0,np-1 +!!$ if (sdsi(proc+1) /= sdsz(proc+1)) & +!!$ & write(0,*) me,name,'Send mismacth ',sdsi(proc+1),sdsz(proc+1) +!!$ end do +!!$ +!!$ select case(psb_get_sp_a2av_alg()) +!!$ case(psb_sp_a2av_smpl_triad_) +!!$ call psb_simple_triad_a2av(valsnd,iasnd,jasnd,sdsz,bsdindx,& +!!$ & acoo%val,acoo%ia,acoo%ja,rvsz,brvindx,ctxt,info) +!!$ case(psb_sp_a2av_smpl_v_) +!!$ call psb_simple_a2av(valsnd,sdsz,bsdindx,& +!!$ & acoo%val,rvsz,brvindx,ctxt,info) +!!$ if (info == psb_success_) call psb_simple_a2av(iasnd,sdsz,bsdindx,& +!!$ & acoo%ia,rvsz,brvindx,ctxt,info) +!!$ if (info == psb_success_) call psb_simple_a2av(jasnd,sdsz,bsdindx,& +!!$ & acoo%ja,rvsz,brvindx,ctxt,info) +!!$ case(psb_sp_a2av_mpi_) +!!$ +!!$ call mpi_alltoallv(valsnd,sdsz,bsdindx,psb_mpi_c_dpk_,& +!!$ & acoo%val,rvsz,brvindx,psb_mpi_c_dpk_,icomm,minfo) +!!$ if (minfo == mpi_success) & +!!$ & call mpi_alltoallv(iasnd,sdsz,bsdindx,psb_mpi_lpk_,& +!!$ & acoo%ia,rvsz,brvindx,psb_mpi_lpk_,icomm,minfo) +!!$ if (minfo == mpi_success) & +!!$ & call mpi_alltoallv(jasnd,sdsz,bsdindx,psb_mpi_lpk_,& +!!$ & acoo%ja,rvsz,brvindx,psb_mpi_lpk_,icomm,minfo) +!!$ if (minfo /= mpi_success) info = minfo +!!$ case default +!!$ info = psb_err_internal_error_ +!!$ call psb_errpush(info,name,a_err='wrong A2AV alg selector') +!!$ goto 9999 +!!$ end select +!!$ +!!$ if (info /= psb_success_) then +!!$ info=psb_err_from_subroutine_ +!!$ call psb_errpush(info,name,a_err='alltoallv') +!!$ goto 9999 +!!$ end if +!!$ call acoo%set_nzeros(iszr) +!!$ call acoo%mv_to_coo(b,info) +!!$ +!!$ Deallocate(brvindx,bsdindx,rvsz,sdsz,& +!!$ & iasnd,jasnd,valsnd,stat=info) +!!$ if (debug_level >= psb_debug_outer_)& +!!$ & write(debug_unit,*) me,' ',trim(name),': Done' + + call psb_erractionrestore(err_act) + return + +9999 call psb_error_handler(ctxt,err_act) + + return + +End Subroutine psb_z_remote_vect + + diff --git a/base/tools/psb_zasb.f90 b/base/tools/psb_zasb.f90 index 34706841..050558ac 100644 --- a/base/tools/psb_zasb.f90 +++ b/base/tools/psb_zasb.f90 @@ -51,7 +51,7 @@ ! scratch - logical, optional If true, allocate without checking/zeroing contents. ! default: .false. ! -subroutine psb_zasb_vect(x, desc_a, info, mold, scratch) +subroutine psb_zasb_vect(x, desc_a, info, mold, dupl,scratch) use psb_base_mod, psb_protect_name => psb_zasb_vect implicit none @@ -59,12 +59,13 @@ subroutine psb_zasb_vect(x, desc_a, info, mold, scratch) type(psb_z_vect_type), intent(inout) :: x integer(psb_ipk_), intent(out) :: info class(psb_z_base_vect_type), intent(in), optional :: mold + integer(psb_ipk_), optional, intent(in) :: dupl logical, intent(in), optional :: scratch ! local variables type(psb_ctxt_type) :: ctxt integer(psb_ipk_) :: np,me - integer(psb_ipk_) :: i1sz,nrow,ncol, err_act + integer(psb_ipk_) :: i1sz,nrow,ncol, err_act, dupl_ logical :: scratch_ integer(psb_ipk_) :: debug_level, debug_unit character(len=20) :: name,ch_err @@ -82,6 +83,11 @@ subroutine psb_zasb_vect(x, desc_a, info, mold, scratch) scratch_ = .false. if (present(scratch)) scratch_ = scratch + if (present(dupl)) then + dupl_ = dupl + else + dupl_ = psb_dupl_ovwrt_ + endif call psb_info(ctxt, me, np) ! ....verify blacs grid correctness.. @@ -104,6 +110,7 @@ subroutine psb_zasb_vect(x, desc_a, info, mold, scratch) call x%free(info) call x%bld(ncol,mold=mold) else + if (x%is_remote_build()) call psb_z_remote_vect(x,desc_a,dupl_, info) call x%asb(ncol,info) ! ..update halo elements.. call psb_halo(x,desc_a,info) diff --git a/base/tools/psb_zins.f90 b/base/tools/psb_zins.f90 index 19020379..089a1da7 100644 --- a/base/tools/psb_zins.f90 +++ b/base/tools/psb_zins.f90 @@ -112,7 +112,6 @@ subroutine psb_zins_vect(m, irw, val, x, desc_a, info, dupl,local) endif - allocate(irl(m),stat=info) if (info /= psb_success_) then info = psb_err_alloc_dealloc_ diff --git a/base/tools/psb_zspalloc.f90 b/base/tools/psb_zspalloc.f90 index 3b0fc7d2..741b3fb7 100644 --- a/base/tools/psb_zspalloc.f90 +++ b/base/tools/psb_zspalloc.f90 @@ -116,22 +116,28 @@ subroutine psb_zspalloc(a, desc_a, info, nnz, bldmode) !!$ write(0,*) name,'Setting a%remote_build ',& !!$ & bldmode_,psb_matbld_noremote_,psb_matbld_remote_ - a%remote_build = bldmode_ - - select case(a%remote_build) - case (psb_matbld_noremote_) - ! nothing needed - !write(0,*) name,' matbld_noremote_ nothing needed' - case (psb_matbld_remote_) - !write(0,*) name,' matbld_remote_ start ' + call a%set_remote_build(bldmode_) + if (a%is_remote_build()) then allocate(a%rmta) nnzrmt_ = max(100,(nnz_/100)) call a%rmta%allocate(m,n,nnzrmt_) - - case default - write(0,*) name,'Invalid value for remote_build ' - a%remote_build = psb_matbld_noremote_ - end select + end if + +!!$ a%remote_build = bldmode_ +!!$ select case(a%remote_build) +!!$ case (psb_matbld_noremote_) +!!$ ! nothing needed +!!$ !write(0,*) name,' matbld_noremote_ nothing needed' +!!$ case (psb_matbld_remote_) +!!$ !write(0,*) name,' matbld_remote_ start ' +!!$ allocate(a%rmta) +!!$ nnzrmt_ = max(100,(nnz_/100)) +!!$ call a%rmta%allocate(m,n,nnzrmt_) +!!$ +!!$ case default +!!$ write(0,*) name,'Invalid value for remote_build ' +!!$ a%remote_build = psb_matbld_noremote_ +!!$ end select if (debug_level >= psb_debug_ext_) & & write(debug_unit,*) me,' ',trim(name),': ', & diff --git a/base/tools/psb_zspasb.f90 b/base/tools/psb_zspasb.f90 index 9c42ae85..a7fc5019 100644 --- a/base/tools/psb_zspasb.f90 +++ b/base/tools/psb_zspasb.f90 @@ -106,11 +106,7 @@ subroutine psb_zspasb(a,desc_a, info, afmt, upd, dupl, mold) ! ! First case: we come from a fresh build. ! - - select case(a%remote_build) - case (psb_matbld_noremote_) - ! nothing needed - case (psb_matbld_remote_) + if (a%is_remote_build()) then !write(0,*) me,name,' Size of rmta:',a%rmta%get_nzeros() block type(psb_lz_coo_sparse_mat) :: a_add @@ -143,11 +139,42 @@ subroutine psb_zspasb(a,desc_a, info, afmt, upd, dupl, mold) if (nzt > 0) call psb_cdasb(desc_a,info,mold=ivm) end block - end select - call a%set_ncols(desc_a%get_local_cols()) - + end if + call a%set_ncols(desc_a%get_local_cols()) call a%cscnv(info,type=afmt,dupl=dupl, mold=mold) else if (a%is_upd()) then + if (a%is_remote_build()) then + !write(0,*) me,name,' Size of rmta:',a%rmta%get_nzeros() + block + type(psb_lz_coo_sparse_mat) :: a_add + integer(psb_ipk_), allocatable :: ila(:), jla(:) + integer(psb_ipk_) :: nz, nzt,k + call psb_remote_mat(a%rmta,desc_a,a_add,info) + nz = a_add%get_nzeros() +!!$ write(0,*) me,name,' Nz to be added',nz + nzt = nz + call psb_sum(ctxt,nzt) + if (nzt>0) then + allocate(ivm, mold=desc_a%v_halo_index%v) + call psb_cd_reinit(desc_a, info) + end if + if (nz > 0) then + ! + ! Should we check for new indices here? + ! + call psb_realloc(nz,ila,info) + call psb_realloc(nz,jla,info) + call desc_a%indxmap%g2l(a_add%ia(1:nz),ila(1:nz),info,owned=.true.) + if (info == 0) call desc_a%indxmap%g2l_ins(a_add%ja(1:nz),jla(1:nz),info) + !write(0,*) me,name,' Check before insert',a%get_nzeros() + n_row = desc_a%get_local_rows() + n_col = desc_a%get_local_cols() + call a%set_ncols(desc_a%get_local_cols()) + call a%csput(nz,ila,jla,a_add%val,ione,n_row,ione,n_col,info) + !write(0,*) me,name,' Check after insert',a%get_nzeros(),nz + end if + end block + end if call a%asb(mold=mold) else info = psb_err_invalid_mat_state_ diff --git a/base/tools/psb_zspins.F90 b/base/tools/psb_zspins.F90 index 835a4d04..abe64251 100644 --- a/base/tools/psb_zspins.F90 +++ b/base/tools/psb_zspins.F90 @@ -151,11 +151,8 @@ subroutine psb_zspins(nz,ia,ja,val,a,desc_a,info,rebuild,local) call psb_errpush(info,name,a_err='a%csput') goto 9999 end if - - select case(a%remote_build) - case (psb_matbld_noremote_) - ! Do nothing - case (psb_matbld_remote_) + + if (a%is_remote_build()) then nnl = count(ila(1:nz)<0) if (nnl > 0) then !write(0,*) 'Check on insert ',nnl @@ -173,9 +170,7 @@ subroutine psb_zspins(nz,ia,ja,val,a,desc_a,info,rebuild,local) call a%rmta%csput(nnl,lila,ljla,lval,1_psb_lpk_,desc_a%get_global_rows(),& & 1_psb_lpk_,desc_a%get_global_rows(),info) end if - case default - write(0,*) name,' Ignoring wrong value for %remote_build' - end select + end if else info = psb_err_invalid_a_and_cd_state_ @@ -208,10 +203,7 @@ subroutine psb_zspins(nz,ia,ja,val,a,desc_a,info,rebuild,local) call psb_errpush(info,name,a_err='a%csput') goto 9999 end if - select case(a%remote_build) - case (psb_matbld_noremote_) - ! Do nothing - case (psb_matbld_remote_) + if (a%is_remote_build()) then nnl = count(ila(1:nz)<0) if (nnl > 0) then !write(0,*) 'Check on insert ',nnl @@ -229,10 +221,7 @@ subroutine psb_zspins(nz,ia,ja,val,a,desc_a,info,rebuild,local) call a%rmta%csput(nnl,lila,ljla,lval,1_psb_lpk_,desc_a%get_global_rows(),& & 1_psb_lpk_,desc_a%get_global_rows(),info) end if - case default - write(0,*) name,' Ignoring wrong value for %remote_build' - end select - + end if else info = psb_err_invalid_cd_state_ call psb_errpush(info,name) From 6bc5f0a05c72b6905cfcc2b8e4121a295bc8f577 Mon Sep 17 00:00:00 2001 From: Salvatore Filippone Date: Thu, 31 Mar 2022 08:54:43 +0200 Subject: [PATCH 14/28] Minor changes to halo_fnd_owner --- base/internals/psi_graph_fnd_owner.F90 | 3 +-- base/internals/psi_indx_map_fnd_owner.F90 | 1 - base/modules/desc/psb_indx_map_mod.f90 | 5 +++++ 3 files changed, 6 insertions(+), 3 deletions(-) diff --git a/base/internals/psi_graph_fnd_owner.F90 b/base/internals/psi_graph_fnd_owner.F90 index c565498c..ee7bece3 100644 --- a/base/internals/psi_graph_fnd_owner.F90 +++ b/base/internals/psi_graph_fnd_owner.F90 @@ -255,8 +255,7 @@ subroutine psi_graph_fnd_owner(idx,iprc,ladj,idxmap,info) n_answers = n_answers + nlansw nqries = nv - n_answers ! - ! 3. Extract the resulting adjacency list and add it to the - ! indxmap; + ! 3. Extract the resulting adjacency list ? AND ADD IT TO THE EXISTING ONE ? ! ladj = tprc(1:nlansw) call psb_msort_unique(ladj,nadj) diff --git a/base/internals/psi_indx_map_fnd_owner.F90 b/base/internals/psi_indx_map_fnd_owner.F90 index 3efcbe59..31c4d51f 100644 --- a/base/internals/psi_indx_map_fnd_owner.F90 +++ b/base/internals/psi_indx_map_fnd_owner.F90 @@ -200,7 +200,6 @@ subroutine psi_indx_map_fnd_owner(idx,iprc,idxmap,info) else call psi_graph_fnd_owner(idx,iprc,ladj,idxmap,info) end if - call idxmap%xtnd_p_adjcncy(ladj) end if diff --git a/base/modules/desc/psb_indx_map_mod.f90 b/base/modules/desc/psb_indx_map_mod.f90 index d4ce78f1..5c8785ac 100644 --- a/base/modules/desc/psb_indx_map_mod.f90 +++ b/base/modules/desc/psb_indx_map_mod.f90 @@ -1558,6 +1558,11 @@ contains nr = idxmap%local_rows nc = min(idxmap%local_cols, (nr+psb_size(idxmap%halo_owner))) sz = min(size(xin),size(xout)) + if (.not.allocated(idxmap%halo_owner)) then + xout = -1 + return + end if + do i = 1, sz xout(i) = -1 if ((nr Date: Thu, 31 Mar 2022 09:39:10 +0200 Subject: [PATCH 15/28] Change interface to fnd_owner --- base/internals/psi_indx_map_fnd_owner.F90 | 13 ++++++++----- base/modules/desc/psb_gen_block_map_mod.F90 | 11 ++++++++--- base/modules/desc/psb_glist_map_mod.f90 | 12 +++++++++++- base/modules/desc/psb_indx_map_mod.f90 | 3 ++- base/modules/desc/psb_repl_map_mod.f90 | 6 +++++- 5 files changed, 34 insertions(+), 11 deletions(-) diff --git a/base/internals/psi_indx_map_fnd_owner.F90 b/base/internals/psi_indx_map_fnd_owner.F90 index 31c4d51f..dc9ab7f1 100644 --- a/base/internals/psi_indx_map_fnd_owner.F90 +++ b/base/internals/psi_indx_map_fnd_owner.F90 @@ -51,7 +51,7 @@ ! 2. Check if TEMPVG(:) is allocated, and use it; or ! 3. Call the general method PSI_GRAPH_FND_OWNER. ! -subroutine psi_indx_map_fnd_owner(idx,iprc,idxmap,info) +subroutine psi_indx_map_fnd_owner(idx,iprc,idxmap,info,adj) use psb_serial_mod use psb_const_mod use psb_error_mod @@ -70,11 +70,11 @@ subroutine psi_indx_map_fnd_owner(idx,iprc,idxmap,info) integer(psb_ipk_), allocatable, intent(out) :: iprc(:) class(psb_indx_map), intent(inout) :: idxmap integer(psb_ipk_), intent(out) :: info - + integer(psb_ipk_), optional, allocatable, intent(out) :: adj(:) integer(psb_ipk_), allocatable :: hhidx(:), ladj(:) integer(psb_mpk_) :: icomm, minfo - integer(psb_ipk_) :: i, err_act, hsize + integer(psb_ipk_) :: i, err_act, hsize, nadj integer(psb_lpk_) :: nv integer(psb_lpk_) :: mglob type(psb_ctxt_type) :: ctxt @@ -131,7 +131,6 @@ subroutine psi_indx_map_fnd_owner(idx,iprc,idxmap,info) iprc(i) = -1 end if end do - else if (allocated(idxmap%tempvg)) then !!$ write(0,*) me,trim(name),' indxmap%tempvg shortcut' ! Use temporary vector @@ -202,7 +201,11 @@ subroutine psi_indx_map_fnd_owner(idx,iprc,idxmap,info) end if end if - + if (present(adj)) then + adj = iprc + call psb_msort_unique(adj,nadj) + call psb_realloc(nadj,adj,info) + end if if (gettime) then call psb_barrier(ctxt) t1 = psb_wtime() diff --git a/base/modules/desc/psb_gen_block_map_mod.F90 b/base/modules/desc/psb_gen_block_map_mod.F90 index 8daa038f..68871cb1 100644 --- a/base/modules/desc/psb_gen_block_map_mod.F90 +++ b/base/modules/desc/psb_gen_block_map_mod.F90 @@ -1050,15 +1050,16 @@ contains end subroutine block_lg2lv2_ins - subroutine block_fnd_owner(idx,iprc,idxmap,info) + subroutine block_fnd_owner(idx,iprc,idxmap,info,adj) use psb_penv_mod implicit none integer(psb_lpk_), intent(in) :: idx(:) integer(psb_ipk_), allocatable, intent(out) :: iprc(:) class(psb_gen_block_map), intent(inout) :: idxmap integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), optional, allocatable, intent(out) :: adj(:) type(psb_ctxt_type) :: ctxt - integer(psb_ipk_) :: iam, np, nv, ip, i + integer(psb_ipk_) :: iam, np, nv, ip, i, nadj integer(psb_lpk_) :: tidx ctxt = idxmap%get_ctxt() @@ -1073,7 +1074,11 @@ contains ip = gen_block_search(tidx-1,np+1,idxmap%vnl) iprc(i) = ip - 1 end do - + if (present(adj)) then + adj = iprc + call psb_msort_unique(adj,nadj) + call psb_realloc(nadj,adj,info) + end if end subroutine block_fnd_owner diff --git a/base/modules/desc/psb_glist_map_mod.f90 b/base/modules/desc/psb_glist_map_mod.f90 index c8ac8f99..5f260d7e 100644 --- a/base/modules/desc/psb_glist_map_mod.f90 +++ b/base/modules/desc/psb_glist_map_mod.f90 @@ -150,16 +150,20 @@ contains end subroutine glist_initvg - subroutine glist_fnd_owner(idx,iprc,idxmap,info) + subroutine glist_fnd_owner(idx,iprc,idxmap,info,adj) use psb_penv_mod use psb_sort_mod + use psb_realloc_mod implicit none integer(psb_lpk_), intent(in) :: idx(:) integer(psb_ipk_), allocatable, intent(out) :: iprc(:) class(psb_glist_map), intent(inout) :: idxmap integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), optional, allocatable, intent(out) :: adj(:) + type(psb_ctxt_type) :: ctxt integer(psb_mpk_) :: iam, np + integer(psb_ipk_) :: nadj integer(psb_lpk_) :: nv, i, ngp ctxt = idxmap%get_ctxt() @@ -180,6 +184,12 @@ contains end if end do + if (present(adj)) then + adj = iprc + call psb_msort_unique(adj,nadj) + call psb_realloc(nadj,adj,info) + end if + end subroutine glist_fnd_owner function glist_get_fmt() result(res) diff --git a/base/modules/desc/psb_indx_map_mod.f90 b/base/modules/desc/psb_indx_map_mod.f90 index 5c8785ac..046a7f1f 100644 --- a/base/modules/desc/psb_indx_map_mod.f90 +++ b/base/modules/desc/psb_indx_map_mod.f90 @@ -268,13 +268,14 @@ module psb_indx_map_mod !! interface - subroutine psi_indx_map_fnd_owner(idx,iprc,idxmap,info) + subroutine psi_indx_map_fnd_owner(idx,iprc,idxmap,info,adj) import :: psb_indx_map, psb_ipk_, psb_lpk_ implicit none integer(psb_lpk_), intent(in) :: idx(:) integer(psb_ipk_), allocatable, intent(out) :: iprc(:) class(psb_indx_map), intent(inout) :: idxmap integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), optional, allocatable, intent(out) :: adj(:) end subroutine psi_indx_map_fnd_owner end interface diff --git a/base/modules/desc/psb_repl_map_mod.f90 b/base/modules/desc/psb_repl_map_mod.f90 index e0d352e2..f360f6c3 100644 --- a/base/modules/desc/psb_repl_map_mod.f90 +++ b/base/modules/desc/psb_repl_map_mod.f90 @@ -696,13 +696,14 @@ contains end subroutine repl_g2lv2_ins - subroutine repl_fnd_owner(idx,iprc,idxmap,info) + subroutine repl_fnd_owner(idx,iprc,idxmap,info,adj) use psb_penv_mod implicit none integer(psb_lpk_), intent(in) :: idx(:) integer(psb_ipk_), allocatable, intent(out) :: iprc(:) class(psb_repl_map), intent(inout) :: idxmap integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), optional, allocatable, intent(out) :: adj(:) integer(psb_ipk_) :: nv type(psb_ctxt_type) :: ctxt integer(psb_mpk_) :: iam, np @@ -717,6 +718,9 @@ contains return end if iprc(1:nv) = iam + if (present(adj)) then + adj = (/ iam /) + end if end subroutine repl_fnd_owner From 9593bfc2c96f508ce244ca859110c52e1ea983ae Mon Sep 17 00:00:00 2001 From: Salvatore Filippone Date: Thu, 31 Mar 2022 09:40:46 +0200 Subject: [PATCH 16/28] Changed interface fnd_owner --- base/modules/desc/psb_gen_block_map_mod.F90 | 1 + 1 file changed, 1 insertion(+) diff --git a/base/modules/desc/psb_gen_block_map_mod.F90 b/base/modules/desc/psb_gen_block_map_mod.F90 index 68871cb1..260e1176 100644 --- a/base/modules/desc/psb_gen_block_map_mod.F90 +++ b/base/modules/desc/psb_gen_block_map_mod.F90 @@ -1052,6 +1052,7 @@ contains subroutine block_fnd_owner(idx,iprc,idxmap,info,adj) use psb_penv_mod + use psb_realloc_mod implicit none integer(psb_lpk_), intent(in) :: idx(:) integer(psb_ipk_), allocatable, intent(out) :: iprc(:) From ee3f63ae3d4038486f625fe07c187a0d8987529a Mon Sep 17 00:00:00 2001 From: Salvatore Filippone Date: Thu, 31 Mar 2022 16:13:32 +0200 Subject: [PATCH 17/28] Fix compilation of gen_block_map_mod --- base/modules/desc/psb_gen_block_map_mod.F90 | 1 + 1 file changed, 1 insertion(+) diff --git a/base/modules/desc/psb_gen_block_map_mod.F90 b/base/modules/desc/psb_gen_block_map_mod.F90 index 260e1176..795a9d8f 100644 --- a/base/modules/desc/psb_gen_block_map_mod.F90 +++ b/base/modules/desc/psb_gen_block_map_mod.F90 @@ -1053,6 +1053,7 @@ contains subroutine block_fnd_owner(idx,iprc,idxmap,info,adj) use psb_penv_mod use psb_realloc_mod + use psb_sort_mod implicit none integer(psb_lpk_), intent(in) :: idx(:) integer(psb_ipk_), allocatable, intent(out) :: iprc(:) From d6c232c676847b4b67af17c9e407174a79030a6c Mon Sep 17 00:00:00 2001 From: Salvatore Filippone Date: Thu, 31 Mar 2022 16:14:26 +0200 Subject: [PATCH 18/28] Default to psb_dupl_add_ in vector --- base/modules/serial/psb_c_vect_mod.F90 | 1 + base/modules/serial/psb_d_vect_mod.F90 | 1 + base/modules/serial/psb_i_vect_mod.F90 | 1 + base/modules/serial/psb_l_vect_mod.F90 | 1 + base/modules/serial/psb_s_vect_mod.F90 | 1 + base/modules/serial/psb_z_vect_mod.F90 | 1 + 6 files changed, 6 insertions(+) diff --git a/base/modules/serial/psb_c_vect_mod.F90 b/base/modules/serial/psb_c_vect_mod.F90 index 2166cf13..6cb54e60 100644 --- a/base/modules/serial/psb_c_vect_mod.F90 +++ b/base/modules/serial/psb_c_vect_mod.F90 @@ -46,6 +46,7 @@ module psb_c_vect_mod class(psb_c_base_vect_type), allocatable :: v integer(psb_ipk_) :: nrmv = 0 integer(psb_ipk_) :: remote_build=psb_matbld_noremote_ + integer(psb_ipk_) :: dupl = psb_dupl_add_ complex(psb_spk_), allocatable :: rmtv(:) integer(psb_lpk_), allocatable :: rmidx(:) contains diff --git a/base/modules/serial/psb_d_vect_mod.F90 b/base/modules/serial/psb_d_vect_mod.F90 index b419ae6a..ec96a8e1 100644 --- a/base/modules/serial/psb_d_vect_mod.F90 +++ b/base/modules/serial/psb_d_vect_mod.F90 @@ -46,6 +46,7 @@ module psb_d_vect_mod class(psb_d_base_vect_type), allocatable :: v integer(psb_ipk_) :: nrmv = 0 integer(psb_ipk_) :: remote_build=psb_matbld_noremote_ + integer(psb_ipk_) :: dupl = psb_dupl_add_ real(psb_dpk_), allocatable :: rmtv(:) integer(psb_lpk_), allocatable :: rmidx(:) contains diff --git a/base/modules/serial/psb_i_vect_mod.F90 b/base/modules/serial/psb_i_vect_mod.F90 index 6cebf62a..b3700203 100644 --- a/base/modules/serial/psb_i_vect_mod.F90 +++ b/base/modules/serial/psb_i_vect_mod.F90 @@ -45,6 +45,7 @@ module psb_i_vect_mod class(psb_i_base_vect_type), allocatable :: v integer(psb_ipk_) :: nrmv = 0 integer(psb_ipk_) :: remote_build=psb_matbld_noremote_ + integer(psb_ipk_) :: dupl = psb_dupl_add_ integer(psb_ipk_), allocatable :: rmtv(:) integer(psb_lpk_), allocatable :: rmidx(:) contains diff --git a/base/modules/serial/psb_l_vect_mod.F90 b/base/modules/serial/psb_l_vect_mod.F90 index df5691f4..03436d48 100644 --- a/base/modules/serial/psb_l_vect_mod.F90 +++ b/base/modules/serial/psb_l_vect_mod.F90 @@ -46,6 +46,7 @@ module psb_l_vect_mod class(psb_l_base_vect_type), allocatable :: v integer(psb_ipk_) :: nrmv = 0 integer(psb_ipk_) :: remote_build=psb_matbld_noremote_ + integer(psb_ipk_) :: dupl = psb_dupl_add_ integer(psb_lpk_), allocatable :: rmtv(:) integer(psb_lpk_), allocatable :: rmidx(:) contains diff --git a/base/modules/serial/psb_s_vect_mod.F90 b/base/modules/serial/psb_s_vect_mod.F90 index 52380007..a62d3234 100644 --- a/base/modules/serial/psb_s_vect_mod.F90 +++ b/base/modules/serial/psb_s_vect_mod.F90 @@ -46,6 +46,7 @@ module psb_s_vect_mod class(psb_s_base_vect_type), allocatable :: v integer(psb_ipk_) :: nrmv = 0 integer(psb_ipk_) :: remote_build=psb_matbld_noremote_ + integer(psb_ipk_) :: dupl = psb_dupl_add_ real(psb_spk_), allocatable :: rmtv(:) integer(psb_lpk_), allocatable :: rmidx(:) contains diff --git a/base/modules/serial/psb_z_vect_mod.F90 b/base/modules/serial/psb_z_vect_mod.F90 index bd02ed62..2789e58b 100644 --- a/base/modules/serial/psb_z_vect_mod.F90 +++ b/base/modules/serial/psb_z_vect_mod.F90 @@ -46,6 +46,7 @@ module psb_z_vect_mod class(psb_z_base_vect_type), allocatable :: v integer(psb_ipk_) :: nrmv = 0 integer(psb_ipk_) :: remote_build=psb_matbld_noremote_ + integer(psb_ipk_) :: dupl = psb_dupl_add_ complex(psb_dpk_), allocatable :: rmtv(:) integer(psb_lpk_), allocatable :: rmidx(:) contains From b4c27ec4eb82cea6589eaaa3ec946e993b7b5b55 Mon Sep 17 00:00:00 2001 From: Salvatore Filippone Date: Thu, 31 Mar 2022 17:16:08 +0200 Subject: [PATCH 19/28] New fnd_owner. --- base/tools/psb_c_remote_mat.F90 | 18 +++++++----------- base/tools/psb_cspasb.f90 | 1 - base/tools/psb_d_remote_mat.F90 | 18 +++++++----------- base/tools/psb_dspasb.f90 | 1 - base/tools/psb_s_remote_mat.F90 | 18 +++++++----------- base/tools/psb_sspasb.f90 | 1 - base/tools/psb_z_remote_mat.F90 | 18 +++++++----------- base/tools/psb_zspasb.f90 | 1 - 8 files changed, 28 insertions(+), 48 deletions(-) diff --git a/base/tools/psb_c_remote_mat.F90 b/base/tools/psb_c_remote_mat.F90 index 52a06480..bab703a5 100644 --- a/base/tools/psb_c_remote_mat.F90 +++ b/base/tools/psb_c_remote_mat.F90 @@ -95,7 +95,7 @@ Subroutine psb_lc_remote_mat(a,desc_a,b,info) integer(psb_lpk_) :: r, k, irmin, irmax, icmin, icmax, iszs, iszr, & & lidx, l1, lnr, lnc, lnnz, idx, ngtz, tot_elem integer(psb_lpk_) :: nz,nouth - integer(psb_ipk_) :: nnp, nrcvs, nsnds + integer(psb_ipk_) :: nrcvs, nsnds integer(psb_mpk_) :: icomm, minfo integer(psb_mpk_), allocatable :: brvindx(:), & & rvsz(:), bsdindx(:),sdsz(:), sdsi(:), rvsi(:) @@ -103,7 +103,7 @@ Subroutine psb_lc_remote_mat(a,desc_a,b,info) complex(psb_spk_), allocatable :: valsnd(:) type(psb_lc_coo_sparse_mat), allocatable :: acoo class(psb_i_base_vect_type), pointer :: pdxv - integer(psb_ipk_), allocatable :: ladj(:), ila(:), iprc(:) + integer(psb_ipk_), allocatable :: ila(:), iprc(:) logical :: rowcnv_,colcnv_,rowscale_,colscale_ character(len=5) :: outfmt_ integer(psb_ipk_) :: debug_level, debug_unit, err_act @@ -149,9 +149,7 @@ Subroutine psb_lc_remote_mat(a,desc_a,b,info) if ((nouth/=0).and.(me==0)) & & write(0,*) 'Warning: would require reinit of DESC_A' - call psi_graph_fnd_owner(a%ia(1:nz),iprc,ladj,desc_a%indxmap,info) - call psb_msort_unique(ladj,nnp) - !write(0,*) me,name,' Processes:',ladj(1:nnp) + call desc_a%indxmap%fnd_owner(a%ia(1:nz),iprc,info) icomm = desc_a%get_mpic() sdsz(:)=0 @@ -304,13 +302,13 @@ subroutine psb_c_remote_vect(v,desc_a, info, dupl) integer(psb_lpk_) :: r, k, irmin, irmax, icmin, icmax, iszs, iszr, & & lidx, l1, lnr, lnc, lnnz, idx, ngtz, tot_elem integer(psb_lpk_) :: nz,nouth - integer(psb_ipk_) :: nnp, nrcvs, nsnds + integer(psb_ipk_) :: nrcvs, nsnds integer(psb_mpk_) :: icomm, minfo integer(psb_mpk_), allocatable :: brvindx(:), & & rvsz(:), bsdindx(:),sdsz(:), sdsi(:), rvsi(:) integer(psb_lpk_), allocatable :: iasnd(:), jasnd(:) complex(psb_spk_), allocatable :: valsnd(:) - integer(psb_ipk_), allocatable :: ladj(:), ila(:), iprc(:) + integer(psb_ipk_), allocatable :: ila(:), iprc(:) logical :: rowcnv_,colcnv_,rowscale_,colscale_ character(len=5) :: outfmt_ integer(psb_ipk_) :: debug_level, debug_unit, err_act @@ -331,7 +329,7 @@ subroutine psb_c_remote_vect(v,desc_a, info, dupl) if (v%is_remote_build()) then dupl_ = psb_dupl_add_ else - dupl_ = psb_dupl_ovwrt_ + dupl_ = psb_dupl_def_ end if endif @@ -366,9 +364,7 @@ subroutine psb_c_remote_vect(v,desc_a, info, dupl) !!$ if ((nouth/=0).and.(me==0)) & !!$ & write(0,*) 'Warning: would require reinit of DESC_A' !!$ -!!$ call psi_graph_fnd_owner(a%ia(1:nz),iprc,ladj,desc_a%indxmap,info) -!!$ call psb_msort_unique(ladj,nnp) -!!$ !write(0,*) me,name,' Processes:',ladj(1:nnp) +!!$ call desc_a%indxmap%fnd_owner(a%ia(1:nz),iprc,info) !!$ !!$ icomm = desc_a%get_mpic() !!$ sdsz(:)=0 diff --git a/base/tools/psb_cspasb.f90 b/base/tools/psb_cspasb.f90 index 95f3cf37..f7866eca 100644 --- a/base/tools/psb_cspasb.f90 +++ b/base/tools/psb_cspasb.f90 @@ -94,7 +94,6 @@ subroutine psb_cspasb(a,desc_a, info, afmt, upd, dupl, mold) goto 9999 end if - if (debug_level >= psb_debug_ext_)& & write(debug_unit, *) me,' ',trim(name),& & ' Begin matrix assembly...' diff --git a/base/tools/psb_d_remote_mat.F90 b/base/tools/psb_d_remote_mat.F90 index 8d67dfbb..dd5fd161 100644 --- a/base/tools/psb_d_remote_mat.F90 +++ b/base/tools/psb_d_remote_mat.F90 @@ -95,7 +95,7 @@ Subroutine psb_ld_remote_mat(a,desc_a,b,info) integer(psb_lpk_) :: r, k, irmin, irmax, icmin, icmax, iszs, iszr, & & lidx, l1, lnr, lnc, lnnz, idx, ngtz, tot_elem integer(psb_lpk_) :: nz,nouth - integer(psb_ipk_) :: nnp, nrcvs, nsnds + integer(psb_ipk_) :: nrcvs, nsnds integer(psb_mpk_) :: icomm, minfo integer(psb_mpk_), allocatable :: brvindx(:), & & rvsz(:), bsdindx(:),sdsz(:), sdsi(:), rvsi(:) @@ -103,7 +103,7 @@ Subroutine psb_ld_remote_mat(a,desc_a,b,info) real(psb_dpk_), allocatable :: valsnd(:) type(psb_ld_coo_sparse_mat), allocatable :: acoo class(psb_i_base_vect_type), pointer :: pdxv - integer(psb_ipk_), allocatable :: ladj(:), ila(:), iprc(:) + integer(psb_ipk_), allocatable :: ila(:), iprc(:) logical :: rowcnv_,colcnv_,rowscale_,colscale_ character(len=5) :: outfmt_ integer(psb_ipk_) :: debug_level, debug_unit, err_act @@ -149,9 +149,7 @@ Subroutine psb_ld_remote_mat(a,desc_a,b,info) if ((nouth/=0).and.(me==0)) & & write(0,*) 'Warning: would require reinit of DESC_A' - call psi_graph_fnd_owner(a%ia(1:nz),iprc,ladj,desc_a%indxmap,info) - call psb_msort_unique(ladj,nnp) - !write(0,*) me,name,' Processes:',ladj(1:nnp) + call desc_a%indxmap%fnd_owner(a%ia(1:nz),iprc,info) icomm = desc_a%get_mpic() sdsz(:)=0 @@ -304,13 +302,13 @@ subroutine psb_d_remote_vect(v,desc_a, info, dupl) integer(psb_lpk_) :: r, k, irmin, irmax, icmin, icmax, iszs, iszr, & & lidx, l1, lnr, lnc, lnnz, idx, ngtz, tot_elem integer(psb_lpk_) :: nz,nouth - integer(psb_ipk_) :: nnp, nrcvs, nsnds + integer(psb_ipk_) :: nrcvs, nsnds integer(psb_mpk_) :: icomm, minfo integer(psb_mpk_), allocatable :: brvindx(:), & & rvsz(:), bsdindx(:),sdsz(:), sdsi(:), rvsi(:) integer(psb_lpk_), allocatable :: iasnd(:), jasnd(:) real(psb_dpk_), allocatable :: valsnd(:) - integer(psb_ipk_), allocatable :: ladj(:), ila(:), iprc(:) + integer(psb_ipk_), allocatable :: ila(:), iprc(:) logical :: rowcnv_,colcnv_,rowscale_,colscale_ character(len=5) :: outfmt_ integer(psb_ipk_) :: debug_level, debug_unit, err_act @@ -331,7 +329,7 @@ subroutine psb_d_remote_vect(v,desc_a, info, dupl) if (v%is_remote_build()) then dupl_ = psb_dupl_add_ else - dupl_ = psb_dupl_ovwrt_ + dupl_ = psb_dupl_def_ end if endif @@ -366,9 +364,7 @@ subroutine psb_d_remote_vect(v,desc_a, info, dupl) !!$ if ((nouth/=0).and.(me==0)) & !!$ & write(0,*) 'Warning: would require reinit of DESC_A' !!$ -!!$ call psi_graph_fnd_owner(a%ia(1:nz),iprc,ladj,desc_a%indxmap,info) -!!$ call psb_msort_unique(ladj,nnp) -!!$ !write(0,*) me,name,' Processes:',ladj(1:nnp) +!!$ call desc_a%indxmap%fnd_owner(a%ia(1:nz),iprc,info) !!$ !!$ icomm = desc_a%get_mpic() !!$ sdsz(:)=0 diff --git a/base/tools/psb_dspasb.f90 b/base/tools/psb_dspasb.f90 index fdf1d16c..2d855472 100644 --- a/base/tools/psb_dspasb.f90 +++ b/base/tools/psb_dspasb.f90 @@ -94,7 +94,6 @@ subroutine psb_dspasb(a,desc_a, info, afmt, upd, dupl, mold) goto 9999 end if - if (debug_level >= psb_debug_ext_)& & write(debug_unit, *) me,' ',trim(name),& & ' Begin matrix assembly...' diff --git a/base/tools/psb_s_remote_mat.F90 b/base/tools/psb_s_remote_mat.F90 index 0c9e0307..176410f4 100644 --- a/base/tools/psb_s_remote_mat.F90 +++ b/base/tools/psb_s_remote_mat.F90 @@ -95,7 +95,7 @@ Subroutine psb_ls_remote_mat(a,desc_a,b,info) integer(psb_lpk_) :: r, k, irmin, irmax, icmin, icmax, iszs, iszr, & & lidx, l1, lnr, lnc, lnnz, idx, ngtz, tot_elem integer(psb_lpk_) :: nz,nouth - integer(psb_ipk_) :: nnp, nrcvs, nsnds + integer(psb_ipk_) :: nrcvs, nsnds integer(psb_mpk_) :: icomm, minfo integer(psb_mpk_), allocatable :: brvindx(:), & & rvsz(:), bsdindx(:),sdsz(:), sdsi(:), rvsi(:) @@ -103,7 +103,7 @@ Subroutine psb_ls_remote_mat(a,desc_a,b,info) real(psb_spk_), allocatable :: valsnd(:) type(psb_ls_coo_sparse_mat), allocatable :: acoo class(psb_i_base_vect_type), pointer :: pdxv - integer(psb_ipk_), allocatable :: ladj(:), ila(:), iprc(:) + integer(psb_ipk_), allocatable :: ila(:), iprc(:) logical :: rowcnv_,colcnv_,rowscale_,colscale_ character(len=5) :: outfmt_ integer(psb_ipk_) :: debug_level, debug_unit, err_act @@ -149,9 +149,7 @@ Subroutine psb_ls_remote_mat(a,desc_a,b,info) if ((nouth/=0).and.(me==0)) & & write(0,*) 'Warning: would require reinit of DESC_A' - call psi_graph_fnd_owner(a%ia(1:nz),iprc,ladj,desc_a%indxmap,info) - call psb_msort_unique(ladj,nnp) - !write(0,*) me,name,' Processes:',ladj(1:nnp) + call desc_a%indxmap%fnd_owner(a%ia(1:nz),iprc,info) icomm = desc_a%get_mpic() sdsz(:)=0 @@ -304,13 +302,13 @@ subroutine psb_s_remote_vect(v,desc_a, info, dupl) integer(psb_lpk_) :: r, k, irmin, irmax, icmin, icmax, iszs, iszr, & & lidx, l1, lnr, lnc, lnnz, idx, ngtz, tot_elem integer(psb_lpk_) :: nz,nouth - integer(psb_ipk_) :: nnp, nrcvs, nsnds + integer(psb_ipk_) :: nrcvs, nsnds integer(psb_mpk_) :: icomm, minfo integer(psb_mpk_), allocatable :: brvindx(:), & & rvsz(:), bsdindx(:),sdsz(:), sdsi(:), rvsi(:) integer(psb_lpk_), allocatable :: iasnd(:), jasnd(:) real(psb_spk_), allocatable :: valsnd(:) - integer(psb_ipk_), allocatable :: ladj(:), ila(:), iprc(:) + integer(psb_ipk_), allocatable :: ila(:), iprc(:) logical :: rowcnv_,colcnv_,rowscale_,colscale_ character(len=5) :: outfmt_ integer(psb_ipk_) :: debug_level, debug_unit, err_act @@ -331,7 +329,7 @@ subroutine psb_s_remote_vect(v,desc_a, info, dupl) if (v%is_remote_build()) then dupl_ = psb_dupl_add_ else - dupl_ = psb_dupl_ovwrt_ + dupl_ = psb_dupl_def_ end if endif @@ -366,9 +364,7 @@ subroutine psb_s_remote_vect(v,desc_a, info, dupl) !!$ if ((nouth/=0).and.(me==0)) & !!$ & write(0,*) 'Warning: would require reinit of DESC_A' !!$ -!!$ call psi_graph_fnd_owner(a%ia(1:nz),iprc,ladj,desc_a%indxmap,info) -!!$ call psb_msort_unique(ladj,nnp) -!!$ !write(0,*) me,name,' Processes:',ladj(1:nnp) +!!$ call desc_a%indxmap%fnd_owner(a%ia(1:nz),iprc,info) !!$ !!$ icomm = desc_a%get_mpic() !!$ sdsz(:)=0 diff --git a/base/tools/psb_sspasb.f90 b/base/tools/psb_sspasb.f90 index cd2cdfa9..d4bf923f 100644 --- a/base/tools/psb_sspasb.f90 +++ b/base/tools/psb_sspasb.f90 @@ -94,7 +94,6 @@ subroutine psb_sspasb(a,desc_a, info, afmt, upd, dupl, mold) goto 9999 end if - if (debug_level >= psb_debug_ext_)& & write(debug_unit, *) me,' ',trim(name),& & ' Begin matrix assembly...' diff --git a/base/tools/psb_z_remote_mat.F90 b/base/tools/psb_z_remote_mat.F90 index 2f5c05a7..4603580c 100644 --- a/base/tools/psb_z_remote_mat.F90 +++ b/base/tools/psb_z_remote_mat.F90 @@ -95,7 +95,7 @@ Subroutine psb_lz_remote_mat(a,desc_a,b,info) integer(psb_lpk_) :: r, k, irmin, irmax, icmin, icmax, iszs, iszr, & & lidx, l1, lnr, lnc, lnnz, idx, ngtz, tot_elem integer(psb_lpk_) :: nz,nouth - integer(psb_ipk_) :: nnp, nrcvs, nsnds + integer(psb_ipk_) :: nrcvs, nsnds integer(psb_mpk_) :: icomm, minfo integer(psb_mpk_), allocatable :: brvindx(:), & & rvsz(:), bsdindx(:),sdsz(:), sdsi(:), rvsi(:) @@ -103,7 +103,7 @@ Subroutine psb_lz_remote_mat(a,desc_a,b,info) complex(psb_dpk_), allocatable :: valsnd(:) type(psb_lz_coo_sparse_mat), allocatable :: acoo class(psb_i_base_vect_type), pointer :: pdxv - integer(psb_ipk_), allocatable :: ladj(:), ila(:), iprc(:) + integer(psb_ipk_), allocatable :: ila(:), iprc(:) logical :: rowcnv_,colcnv_,rowscale_,colscale_ character(len=5) :: outfmt_ integer(psb_ipk_) :: debug_level, debug_unit, err_act @@ -149,9 +149,7 @@ Subroutine psb_lz_remote_mat(a,desc_a,b,info) if ((nouth/=0).and.(me==0)) & & write(0,*) 'Warning: would require reinit of DESC_A' - call psi_graph_fnd_owner(a%ia(1:nz),iprc,ladj,desc_a%indxmap,info) - call psb_msort_unique(ladj,nnp) - !write(0,*) me,name,' Processes:',ladj(1:nnp) + call desc_a%indxmap%fnd_owner(a%ia(1:nz),iprc,info) icomm = desc_a%get_mpic() sdsz(:)=0 @@ -304,13 +302,13 @@ subroutine psb_z_remote_vect(v,desc_a, info, dupl) integer(psb_lpk_) :: r, k, irmin, irmax, icmin, icmax, iszs, iszr, & & lidx, l1, lnr, lnc, lnnz, idx, ngtz, tot_elem integer(psb_lpk_) :: nz,nouth - integer(psb_ipk_) :: nnp, nrcvs, nsnds + integer(psb_ipk_) :: nrcvs, nsnds integer(psb_mpk_) :: icomm, minfo integer(psb_mpk_), allocatable :: brvindx(:), & & rvsz(:), bsdindx(:),sdsz(:), sdsi(:), rvsi(:) integer(psb_lpk_), allocatable :: iasnd(:), jasnd(:) complex(psb_dpk_), allocatable :: valsnd(:) - integer(psb_ipk_), allocatable :: ladj(:), ila(:), iprc(:) + integer(psb_ipk_), allocatable :: ila(:), iprc(:) logical :: rowcnv_,colcnv_,rowscale_,colscale_ character(len=5) :: outfmt_ integer(psb_ipk_) :: debug_level, debug_unit, err_act @@ -331,7 +329,7 @@ subroutine psb_z_remote_vect(v,desc_a, info, dupl) if (v%is_remote_build()) then dupl_ = psb_dupl_add_ else - dupl_ = psb_dupl_ovwrt_ + dupl_ = psb_dupl_def_ end if endif @@ -366,9 +364,7 @@ subroutine psb_z_remote_vect(v,desc_a, info, dupl) !!$ if ((nouth/=0).and.(me==0)) & !!$ & write(0,*) 'Warning: would require reinit of DESC_A' !!$ -!!$ call psi_graph_fnd_owner(a%ia(1:nz),iprc,ladj,desc_a%indxmap,info) -!!$ call psb_msort_unique(ladj,nnp) -!!$ !write(0,*) me,name,' Processes:',ladj(1:nnp) +!!$ call desc_a%indxmap%fnd_owner(a%ia(1:nz),iprc,info) !!$ !!$ icomm = desc_a%get_mpic() !!$ sdsz(:)=0 diff --git a/base/tools/psb_zspasb.f90 b/base/tools/psb_zspasb.f90 index a7fc5019..f1af9661 100644 --- a/base/tools/psb_zspasb.f90 +++ b/base/tools/psb_zspasb.f90 @@ -94,7 +94,6 @@ subroutine psb_zspasb(a,desc_a, info, afmt, upd, dupl, mold) goto 9999 end if - if (debug_level >= psb_debug_ext_)& & write(debug_unit, *) me,' ',trim(name),& & ' Begin matrix assembly...' From fc81367fefaff259acc4c65e58d9bb49e835d941 Mon Sep 17 00:00:00 2001 From: Salvatore Filippone Date: Fri, 1 Apr 2022 11:38:40 +0200 Subject: [PATCH 20/28] Changes for remote build interfaces. Implementation to be completed. --- base/modules/serial/psb_c_mat_mod.F90 | 2 +- base/modules/serial/psb_c_vect_mod.F90 | 87 +++++++++++++++++++++++--- base/modules/serial/psb_d_mat_mod.F90 | 2 +- base/modules/serial/psb_d_vect_mod.F90 | 87 +++++++++++++++++++++++--- base/modules/serial/psb_i_vect_mod.F90 | 87 +++++++++++++++++++++++--- base/modules/serial/psb_l_vect_mod.F90 | 87 +++++++++++++++++++++++--- base/modules/serial/psb_s_mat_mod.F90 | 2 +- base/modules/serial/psb_s_vect_mod.F90 | 87 +++++++++++++++++++++++--- base/modules/serial/psb_z_mat_mod.F90 | 2 +- base/modules/serial/psb_z_vect_mod.F90 | 87 +++++++++++++++++++++++--- base/modules/tools/psb_c_tools_mod.F90 | 42 ++++++------- base/modules/tools/psb_d_tools_mod.F90 | 42 ++++++------- base/modules/tools/psb_i_tools_mod.F90 | 24 ++++--- base/modules/tools/psb_l_tools_mod.F90 | 24 ++++--- base/modules/tools/psb_s_tools_mod.F90 | 42 ++++++------- base/modules/tools/psb_z_tools_mod.F90 | 42 ++++++------- base/tools/psb_c_remote_mat.F90 | 14 +---- base/tools/psb_callc.f90 | 66 ++++++++++++++++++- base/tools/psb_casb.f90 | 19 +++--- base/tools/psb_cins.f90 | 52 ++++----------- base/tools/psb_cspalloc.f90 | 48 ++++++-------- base/tools/psb_cspasb.f90 | 22 +++---- base/tools/psb_d_remote_mat.F90 | 14 +---- base/tools/psb_dallc.f90 | 66 ++++++++++++++++++- base/tools/psb_dasb.f90 | 19 +++--- base/tools/psb_dins.f90 | 52 ++++----------- base/tools/psb_dspalloc.f90 | 48 ++++++-------- base/tools/psb_dspasb.f90 | 22 +++---- base/tools/psb_iallc.f90 | 66 ++++++++++++++++++- base/tools/psb_iasb.f90 | 19 +++--- base/tools/psb_iins.f90 | 52 ++++----------- base/tools/psb_lallc.f90 | 66 ++++++++++++++++++- base/tools/psb_lasb.f90 | 19 +++--- base/tools/psb_lins.f90 | 52 ++++----------- base/tools/psb_s_remote_mat.F90 | 14 +---- base/tools/psb_sallc.f90 | 66 ++++++++++++++++++- base/tools/psb_sasb.f90 | 19 +++--- base/tools/psb_sins.f90 | 52 ++++----------- base/tools/psb_sspalloc.f90 | 48 ++++++-------- base/tools/psb_sspasb.f90 | 22 +++---- base/tools/psb_z_remote_mat.F90 | 14 +---- base/tools/psb_zallc.f90 | 66 ++++++++++++++++++- base/tools/psb_zasb.f90 | 19 +++--- base/tools/psb_zins.f90 | 52 ++++----------- base/tools/psb_zspalloc.f90 | 48 ++++++-------- base/tools/psb_zspasb.f90 | 22 +++---- cbind/base/psb_c_tools_cbind_mod.F90 | 60 +++--------------- cbind/base/psb_d_tools_cbind_mod.F90 | 60 +++--------------- cbind/base/psb_s_tools_cbind_mod.F90 | 60 +++--------------- cbind/base/psb_z_tools_cbind_mod.F90 | 60 +++--------------- test/pargen/psb_d_pde2d.F90 | 10 +-- test/pargen/psb_d_pde3d.F90 | 9 +-- test/pargen/psb_s_pde2d.F90 | 10 +-- test/pargen/psb_s_pde3d.F90 | 9 +-- util/psb_c_mat_dist_impl.f90 | 8 +-- util/psb_d_mat_dist_impl.f90 | 8 +-- util/psb_s_mat_dist_impl.f90 | 8 +-- util/psb_z_mat_dist_impl.f90 | 8 +-- 58 files changed, 1276 insertions(+), 938 deletions(-) diff --git a/base/modules/serial/psb_c_mat_mod.F90 b/base/modules/serial/psb_c_mat_mod.F90 index 5375ab18..fd423de3 100644 --- a/base/modules/serial/psb_c_mat_mod.F90 +++ b/base/modules/serial/psb_c_mat_mod.F90 @@ -84,7 +84,7 @@ module psb_c_mat_mod type :: psb_cspmat_type - class(psb_c_base_sparse_mat), allocatable :: a + class(psb_c_base_sparse_mat), allocatable :: a integer(psb_ipk_) :: remote_build=psb_matbld_noremote_ type(psb_lc_coo_sparse_mat), allocatable :: rmta diff --git a/base/modules/serial/psb_c_vect_mod.F90 b/base/modules/serial/psb_c_vect_mod.F90 index 6cb54e60..a2620af5 100644 --- a/base/modules/serial/psb_c_vect_mod.F90 +++ b/base/modules/serial/psb_c_vect_mod.F90 @@ -53,8 +53,10 @@ module psb_c_vect_mod procedure, pass(x) :: get_nrows => c_vect_get_nrows procedure, pass(x) :: sizeof => c_vect_sizeof procedure, pass(x) :: get_fmt => c_vect_get_fmt - procedure, pass(x) :: is_remote_build => psb_c_is_remote_build - procedure, pass(x) :: set_remote_build => psb_c_set_remote_build + procedure, pass(x) :: is_remote_build => c_vect_is_remote_build + procedure, pass(x) :: set_remote_build => c_vect_set_remote_build + procedure, pass(x) :: get_dupl => c_vect_get_dupl + procedure, pass(x) :: set_dupl => c_vect_set_dupl procedure, pass(x) :: all => c_vect_all procedure, pass(x) :: reall => c_vect_reall procedure, pass(x) :: zero => c_vect_zero @@ -152,7 +154,9 @@ module psb_c_vect_mod & c_vect_cnv, c_vect_set_scal, & & c_vect_set_vect, c_vect_clone, c_vect_sync, c_vect_is_host, & & c_vect_is_dev, c_vect_is_sync, c_vect_set_host, & - & c_vect_set_dev, c_vect_set_sync + & c_vect_set_dev, c_vect_set_sync, & + & c_vect_set_remote_build, c_is_remote_build, & + & c_vect_set_dupl, c_get_dupl private :: c_vect_dot_v, c_vect_dot_a, c_vect_axpby_v, c_vect_axpby_a, & & c_vect_mlt_v, c_vect_mlt_a, c_vect_mlt_a_2, c_vect_mlt_v_2, & @@ -175,14 +179,34 @@ module psb_c_vect_mod contains - function psb_c_is_remote_build(x) result(res) + function c_vect_get_dupl(x) result(res) + implicit none + class(psb_c_vect_type), intent(in) :: x + integer(psb_ipk_) :: res + res = x%dupl + end function c_vect_get_dupl + + subroutine c_vect_set_dupl(x,val) + implicit none + class(psb_c_vect_type), intent(inout) :: x + integer(psb_ipk_), intent(in), optional :: val + + if (present(val)) then + x%dupl = val + else + x%dupl = psb_dupl_def_ + end if + end subroutine c_vect_set_dupl + + + function c_vect_is_remote_build(x) result(res) implicit none class(psb_c_vect_type), intent(in) :: x logical :: res res = (x%remote_build == psb_matbld_remote_) - end function psb_c_is_remote_build + end function c_vect_is_remote_build - subroutine psb_c_set_remote_build(x,val) + subroutine c_vect_set_remote_build(x,val) implicit none class(psb_c_vect_type), intent(inout) :: x integer(psb_ipk_), intent(in), optional :: val @@ -192,7 +216,7 @@ contains else x%remote_build = psb_matbld_remote_ end if - end subroutine psb_c_set_remote_build + end subroutine c_vect_set_remote_build subroutine psb_c_set_vect_default(v) implicit none @@ -1211,7 +1235,6 @@ contains end module psb_c_vect_mod - module psb_c_multivect_mod use psb_c_base_multivect_mod @@ -1223,11 +1246,19 @@ module psb_c_multivect_mod type psb_c_multivect_type class(psb_c_base_multivect_type), allocatable :: v + integer(psb_ipk_) :: nrmv = 0 + integer(psb_ipk_) :: remote_build=psb_matbld_noremote_ + integer(psb_ipk_) :: dupl = psb_dupl_add_ + complex(psb_spk_), allocatable :: rmtv(:,:) contains procedure, pass(x) :: get_nrows => c_vect_get_nrows procedure, pass(x) :: get_ncols => c_vect_get_ncols procedure, pass(x) :: sizeof => c_vect_sizeof procedure, pass(x) :: get_fmt => c_vect_get_fmt + procedure, pass(x) :: is_remote_build => c_mvect_is_remote_build + procedure, pass(x) :: set_remote_build => c_mvect_set_remote_build + procedure, pass(x) :: get_dupl => c_mvect_get_dupl + procedure, pass(x) :: set_dupl => c_mvect_set_dupl procedure, pass(x) :: all => c_vect_all procedure, pass(x) :: reall => c_vect_reall @@ -1295,6 +1326,46 @@ module psb_c_multivect_mod contains + + function c_mvect_get_dupl(x) result(res) + implicit none + class(psb_c_multivect_type), intent(in) :: x + integer(psb_ipk_) :: res + res = x%dupl + end function c_mvect_get_dupl + + subroutine c_mvect_set_dupl(x,val) + implicit none + class(psb_c_multivect_type), intent(inout) :: x + integer(psb_ipk_), intent(in), optional :: val + + if (present(val)) then + x%dupl = val + else + x%dupl = psb_dupl_def_ + end if + end subroutine c_mvect_set_dupl + + + function c_mvect_is_remote_build(x) result(res) + implicit none + class(psb_c_multivect_type), intent(in) :: x + logical :: res + res = (x%remote_build == psb_matbld_remote_) + end function c_mvect_is_remote_build + + subroutine c_mvect_set_remote_build(x,val) + implicit none + class(psb_c_multivect_type), intent(inout) :: x + integer(psb_ipk_), intent(in), optional :: val + + if (present(val)) then + x%remote_build = val + else + x%remote_build = psb_matbld_remote_ + end if + end subroutine c_mvect_set_remote_build + subroutine psb_c_set_multivect_default(v) implicit none diff --git a/base/modules/serial/psb_d_mat_mod.F90 b/base/modules/serial/psb_d_mat_mod.F90 index f9a70a66..8f967ce1 100644 --- a/base/modules/serial/psb_d_mat_mod.F90 +++ b/base/modules/serial/psb_d_mat_mod.F90 @@ -84,7 +84,7 @@ module psb_d_mat_mod type :: psb_dspmat_type - class(psb_d_base_sparse_mat), allocatable :: a + class(psb_d_base_sparse_mat), allocatable :: a integer(psb_ipk_) :: remote_build=psb_matbld_noremote_ type(psb_ld_coo_sparse_mat), allocatable :: rmta diff --git a/base/modules/serial/psb_d_vect_mod.F90 b/base/modules/serial/psb_d_vect_mod.F90 index ec96a8e1..68aba8aa 100644 --- a/base/modules/serial/psb_d_vect_mod.F90 +++ b/base/modules/serial/psb_d_vect_mod.F90 @@ -53,8 +53,10 @@ module psb_d_vect_mod procedure, pass(x) :: get_nrows => d_vect_get_nrows procedure, pass(x) :: sizeof => d_vect_sizeof procedure, pass(x) :: get_fmt => d_vect_get_fmt - procedure, pass(x) :: is_remote_build => psb_d_is_remote_build - procedure, pass(x) :: set_remote_build => psb_d_set_remote_build + procedure, pass(x) :: is_remote_build => d_vect_is_remote_build + procedure, pass(x) :: set_remote_build => d_vect_set_remote_build + procedure, pass(x) :: get_dupl => d_vect_get_dupl + procedure, pass(x) :: set_dupl => d_vect_set_dupl procedure, pass(x) :: all => d_vect_all procedure, pass(x) :: reall => d_vect_reall procedure, pass(x) :: zero => d_vect_zero @@ -159,7 +161,9 @@ module psb_d_vect_mod & d_vect_cnv, d_vect_set_scal, & & d_vect_set_vect, d_vect_clone, d_vect_sync, d_vect_is_host, & & d_vect_is_dev, d_vect_is_sync, d_vect_set_host, & - & d_vect_set_dev, d_vect_set_sync + & d_vect_set_dev, d_vect_set_sync, & + & d_vect_set_remote_build, d_is_remote_build, & + & d_vect_set_dupl, d_get_dupl private :: d_vect_dot_v, d_vect_dot_a, d_vect_axpby_v, d_vect_axpby_a, & & d_vect_mlt_v, d_vect_mlt_a, d_vect_mlt_a_2, d_vect_mlt_v_2, & @@ -182,14 +186,34 @@ module psb_d_vect_mod contains - function psb_d_is_remote_build(x) result(res) + function d_vect_get_dupl(x) result(res) + implicit none + class(psb_d_vect_type), intent(in) :: x + integer(psb_ipk_) :: res + res = x%dupl + end function d_vect_get_dupl + + subroutine d_vect_set_dupl(x,val) + implicit none + class(psb_d_vect_type), intent(inout) :: x + integer(psb_ipk_), intent(in), optional :: val + + if (present(val)) then + x%dupl = val + else + x%dupl = psb_dupl_def_ + end if + end subroutine d_vect_set_dupl + + + function d_vect_is_remote_build(x) result(res) implicit none class(psb_d_vect_type), intent(in) :: x logical :: res res = (x%remote_build == psb_matbld_remote_) - end function psb_d_is_remote_build + end function d_vect_is_remote_build - subroutine psb_d_set_remote_build(x,val) + subroutine d_vect_set_remote_build(x,val) implicit none class(psb_d_vect_type), intent(inout) :: x integer(psb_ipk_), intent(in), optional :: val @@ -199,7 +223,7 @@ contains else x%remote_build = psb_matbld_remote_ end if - end subroutine psb_d_set_remote_build + end subroutine d_vect_set_remote_build subroutine psb_d_set_vect_default(v) implicit none @@ -1290,7 +1314,6 @@ contains end module psb_d_vect_mod - module psb_d_multivect_mod use psb_d_base_multivect_mod @@ -1302,11 +1325,19 @@ module psb_d_multivect_mod type psb_d_multivect_type class(psb_d_base_multivect_type), allocatable :: v + integer(psb_ipk_) :: nrmv = 0 + integer(psb_ipk_) :: remote_build=psb_matbld_noremote_ + integer(psb_ipk_) :: dupl = psb_dupl_add_ + real(psb_dpk_), allocatable :: rmtv(:,:) contains procedure, pass(x) :: get_nrows => d_vect_get_nrows procedure, pass(x) :: get_ncols => d_vect_get_ncols procedure, pass(x) :: sizeof => d_vect_sizeof procedure, pass(x) :: get_fmt => d_vect_get_fmt + procedure, pass(x) :: is_remote_build => d_mvect_is_remote_build + procedure, pass(x) :: set_remote_build => d_mvect_set_remote_build + procedure, pass(x) :: get_dupl => d_mvect_get_dupl + procedure, pass(x) :: set_dupl => d_mvect_set_dupl procedure, pass(x) :: all => d_vect_all procedure, pass(x) :: reall => d_vect_reall @@ -1374,6 +1405,46 @@ module psb_d_multivect_mod contains + + function d_mvect_get_dupl(x) result(res) + implicit none + class(psb_d_multivect_type), intent(in) :: x + integer(psb_ipk_) :: res + res = x%dupl + end function d_mvect_get_dupl + + subroutine d_mvect_set_dupl(x,val) + implicit none + class(psb_d_multivect_type), intent(inout) :: x + integer(psb_ipk_), intent(in), optional :: val + + if (present(val)) then + x%dupl = val + else + x%dupl = psb_dupl_def_ + end if + end subroutine d_mvect_set_dupl + + + function d_mvect_is_remote_build(x) result(res) + implicit none + class(psb_d_multivect_type), intent(in) :: x + logical :: res + res = (x%remote_build == psb_matbld_remote_) + end function d_mvect_is_remote_build + + subroutine d_mvect_set_remote_build(x,val) + implicit none + class(psb_d_multivect_type), intent(inout) :: x + integer(psb_ipk_), intent(in), optional :: val + + if (present(val)) then + x%remote_build = val + else + x%remote_build = psb_matbld_remote_ + end if + end subroutine d_mvect_set_remote_build + subroutine psb_d_set_multivect_default(v) implicit none diff --git a/base/modules/serial/psb_i_vect_mod.F90 b/base/modules/serial/psb_i_vect_mod.F90 index b3700203..c4cd3178 100644 --- a/base/modules/serial/psb_i_vect_mod.F90 +++ b/base/modules/serial/psb_i_vect_mod.F90 @@ -52,8 +52,10 @@ module psb_i_vect_mod procedure, pass(x) :: get_nrows => i_vect_get_nrows procedure, pass(x) :: sizeof => i_vect_sizeof procedure, pass(x) :: get_fmt => i_vect_get_fmt - procedure, pass(x) :: is_remote_build => psb_i_is_remote_build - procedure, pass(x) :: set_remote_build => psb_i_set_remote_build + procedure, pass(x) :: is_remote_build => i_vect_is_remote_build + procedure, pass(x) :: set_remote_build => i_vect_set_remote_build + procedure, pass(x) :: get_dupl => i_vect_get_dupl + procedure, pass(x) :: set_dupl => i_vect_set_dupl procedure, pass(x) :: all => i_vect_all procedure, pass(x) :: reall => i_vect_reall procedure, pass(x) :: zero => i_vect_zero @@ -104,7 +106,9 @@ module psb_i_vect_mod & i_vect_cnv, i_vect_set_scal, & & i_vect_set_vect, i_vect_clone, i_vect_sync, i_vect_is_host, & & i_vect_is_dev, i_vect_is_sync, i_vect_set_host, & - & i_vect_set_dev, i_vect_set_sync + & i_vect_set_dev, i_vect_set_sync, & + & i_vect_set_remote_build, i_is_remote_build, & + & i_vect_set_dupl, i_get_dupl class(psb_i_base_vect_type), allocatable, target,& @@ -122,14 +126,34 @@ module psb_i_vect_mod contains - function psb_i_is_remote_build(x) result(res) + function i_vect_get_dupl(x) result(res) + implicit none + class(psb_i_vect_type), intent(in) :: x + integer(psb_ipk_) :: res + res = x%dupl + end function i_vect_get_dupl + + subroutine i_vect_set_dupl(x,val) + implicit none + class(psb_i_vect_type), intent(inout) :: x + integer(psb_ipk_), intent(in), optional :: val + + if (present(val)) then + x%dupl = val + else + x%dupl = psb_dupl_def_ + end if + end subroutine i_vect_set_dupl + + + function i_vect_is_remote_build(x) result(res) implicit none class(psb_i_vect_type), intent(in) :: x logical :: res res = (x%remote_build == psb_matbld_remote_) - end function psb_i_is_remote_build + end function i_vect_is_remote_build - subroutine psb_i_set_remote_build(x,val) + subroutine i_vect_set_remote_build(x,val) implicit none class(psb_i_vect_type), intent(inout) :: x integer(psb_ipk_), intent(in), optional :: val @@ -139,7 +163,7 @@ contains else x%remote_build = psb_matbld_remote_ end if - end subroutine psb_i_set_remote_build + end subroutine i_vect_set_remote_build subroutine psb_i_set_vect_default(v) implicit none @@ -586,7 +610,6 @@ contains end module psb_i_vect_mod - module psb_i_multivect_mod use psb_i_base_multivect_mod @@ -598,11 +621,19 @@ module psb_i_multivect_mod type psb_i_multivect_type class(psb_i_base_multivect_type), allocatable :: v + integer(psb_ipk_) :: nrmv = 0 + integer(psb_ipk_) :: remote_build=psb_matbld_noremote_ + integer(psb_ipk_) :: dupl = psb_dupl_add_ + integer(psb_ipk_), allocatable :: rmtv(:,:) contains procedure, pass(x) :: get_nrows => i_vect_get_nrows procedure, pass(x) :: get_ncols => i_vect_get_ncols procedure, pass(x) :: sizeof => i_vect_sizeof procedure, pass(x) :: get_fmt => i_vect_get_fmt + procedure, pass(x) :: is_remote_build => i_mvect_is_remote_build + procedure, pass(x) :: set_remote_build => i_mvect_set_remote_build + procedure, pass(x) :: get_dupl => i_mvect_get_dupl + procedure, pass(x) :: set_dupl => i_mvect_set_dupl procedure, pass(x) :: all => i_vect_all procedure, pass(x) :: reall => i_vect_reall @@ -652,6 +683,46 @@ module psb_i_multivect_mod contains + + function i_mvect_get_dupl(x) result(res) + implicit none + class(psb_i_multivect_type), intent(in) :: x + integer(psb_ipk_) :: res + res = x%dupl + end function i_mvect_get_dupl + + subroutine i_mvect_set_dupl(x,val) + implicit none + class(psb_i_multivect_type), intent(inout) :: x + integer(psb_ipk_), intent(in), optional :: val + + if (present(val)) then + x%dupl = val + else + x%dupl = psb_dupl_def_ + end if + end subroutine i_mvect_set_dupl + + + function i_mvect_is_remote_build(x) result(res) + implicit none + class(psb_i_multivect_type), intent(in) :: x + logical :: res + res = (x%remote_build == psb_matbld_remote_) + end function i_mvect_is_remote_build + + subroutine i_mvect_set_remote_build(x,val) + implicit none + class(psb_i_multivect_type), intent(inout) :: x + integer(psb_ipk_), intent(in), optional :: val + + if (present(val)) then + x%remote_build = val + else + x%remote_build = psb_matbld_remote_ + end if + end subroutine i_mvect_set_remote_build + subroutine psb_i_set_multivect_default(v) implicit none diff --git a/base/modules/serial/psb_l_vect_mod.F90 b/base/modules/serial/psb_l_vect_mod.F90 index 03436d48..b3579b17 100644 --- a/base/modules/serial/psb_l_vect_mod.F90 +++ b/base/modules/serial/psb_l_vect_mod.F90 @@ -53,8 +53,10 @@ module psb_l_vect_mod procedure, pass(x) :: get_nrows => l_vect_get_nrows procedure, pass(x) :: sizeof => l_vect_sizeof procedure, pass(x) :: get_fmt => l_vect_get_fmt - procedure, pass(x) :: is_remote_build => psb_l_is_remote_build - procedure, pass(x) :: set_remote_build => psb_l_set_remote_build + procedure, pass(x) :: is_remote_build => l_vect_is_remote_build + procedure, pass(x) :: set_remote_build => l_vect_set_remote_build + procedure, pass(x) :: get_dupl => l_vect_get_dupl + procedure, pass(x) :: set_dupl => l_vect_set_dupl procedure, pass(x) :: all => l_vect_all procedure, pass(x) :: reall => l_vect_reall procedure, pass(x) :: zero => l_vect_zero @@ -105,7 +107,9 @@ module psb_l_vect_mod & l_vect_cnv, l_vect_set_scal, & & l_vect_set_vect, l_vect_clone, l_vect_sync, l_vect_is_host, & & l_vect_is_dev, l_vect_is_sync, l_vect_set_host, & - & l_vect_set_dev, l_vect_set_sync + & l_vect_set_dev, l_vect_set_sync, & + & l_vect_set_remote_build, l_is_remote_build, & + & l_vect_set_dupl, l_get_dupl class(psb_l_base_vect_type), allocatable, target,& @@ -123,14 +127,34 @@ module psb_l_vect_mod contains - function psb_l_is_remote_build(x) result(res) + function l_vect_get_dupl(x) result(res) + implicit none + class(psb_l_vect_type), intent(in) :: x + integer(psb_ipk_) :: res + res = x%dupl + end function l_vect_get_dupl + + subroutine l_vect_set_dupl(x,val) + implicit none + class(psb_l_vect_type), intent(inout) :: x + integer(psb_ipk_), intent(in), optional :: val + + if (present(val)) then + x%dupl = val + else + x%dupl = psb_dupl_def_ + end if + end subroutine l_vect_set_dupl + + + function l_vect_is_remote_build(x) result(res) implicit none class(psb_l_vect_type), intent(in) :: x logical :: res res = (x%remote_build == psb_matbld_remote_) - end function psb_l_is_remote_build + end function l_vect_is_remote_build - subroutine psb_l_set_remote_build(x,val) + subroutine l_vect_set_remote_build(x,val) implicit none class(psb_l_vect_type), intent(inout) :: x integer(psb_ipk_), intent(in), optional :: val @@ -140,7 +164,7 @@ contains else x%remote_build = psb_matbld_remote_ end if - end subroutine psb_l_set_remote_build + end subroutine l_vect_set_remote_build subroutine psb_l_set_vect_default(v) implicit none @@ -587,7 +611,6 @@ contains end module psb_l_vect_mod - module psb_l_multivect_mod use psb_l_base_multivect_mod @@ -599,11 +622,19 @@ module psb_l_multivect_mod type psb_l_multivect_type class(psb_l_base_multivect_type), allocatable :: v + integer(psb_ipk_) :: nrmv = 0 + integer(psb_ipk_) :: remote_build=psb_matbld_noremote_ + integer(psb_ipk_) :: dupl = psb_dupl_add_ + integer(psb_lpk_), allocatable :: rmtv(:,:) contains procedure, pass(x) :: get_nrows => l_vect_get_nrows procedure, pass(x) :: get_ncols => l_vect_get_ncols procedure, pass(x) :: sizeof => l_vect_sizeof procedure, pass(x) :: get_fmt => l_vect_get_fmt + procedure, pass(x) :: is_remote_build => l_mvect_is_remote_build + procedure, pass(x) :: set_remote_build => l_mvect_set_remote_build + procedure, pass(x) :: get_dupl => l_mvect_get_dupl + procedure, pass(x) :: set_dupl => l_mvect_set_dupl procedure, pass(x) :: all => l_vect_all procedure, pass(x) :: reall => l_vect_reall @@ -653,6 +684,46 @@ module psb_l_multivect_mod contains + + function l_mvect_get_dupl(x) result(res) + implicit none + class(psb_l_multivect_type), intent(in) :: x + integer(psb_ipk_) :: res + res = x%dupl + end function l_mvect_get_dupl + + subroutine l_mvect_set_dupl(x,val) + implicit none + class(psb_l_multivect_type), intent(inout) :: x + integer(psb_ipk_), intent(in), optional :: val + + if (present(val)) then + x%dupl = val + else + x%dupl = psb_dupl_def_ + end if + end subroutine l_mvect_set_dupl + + + function l_mvect_is_remote_build(x) result(res) + implicit none + class(psb_l_multivect_type), intent(in) :: x + logical :: res + res = (x%remote_build == psb_matbld_remote_) + end function l_mvect_is_remote_build + + subroutine l_mvect_set_remote_build(x,val) + implicit none + class(psb_l_multivect_type), intent(inout) :: x + integer(psb_ipk_), intent(in), optional :: val + + if (present(val)) then + x%remote_build = val + else + x%remote_build = psb_matbld_remote_ + end if + end subroutine l_mvect_set_remote_build + subroutine psb_l_set_multivect_default(v) implicit none diff --git a/base/modules/serial/psb_s_mat_mod.F90 b/base/modules/serial/psb_s_mat_mod.F90 index c1639ad5..43f1c619 100644 --- a/base/modules/serial/psb_s_mat_mod.F90 +++ b/base/modules/serial/psb_s_mat_mod.F90 @@ -84,7 +84,7 @@ module psb_s_mat_mod type :: psb_sspmat_type - class(psb_s_base_sparse_mat), allocatable :: a + class(psb_s_base_sparse_mat), allocatable :: a integer(psb_ipk_) :: remote_build=psb_matbld_noremote_ type(psb_ls_coo_sparse_mat), allocatable :: rmta diff --git a/base/modules/serial/psb_s_vect_mod.F90 b/base/modules/serial/psb_s_vect_mod.F90 index a62d3234..c15c6606 100644 --- a/base/modules/serial/psb_s_vect_mod.F90 +++ b/base/modules/serial/psb_s_vect_mod.F90 @@ -53,8 +53,10 @@ module psb_s_vect_mod procedure, pass(x) :: get_nrows => s_vect_get_nrows procedure, pass(x) :: sizeof => s_vect_sizeof procedure, pass(x) :: get_fmt => s_vect_get_fmt - procedure, pass(x) :: is_remote_build => psb_s_is_remote_build - procedure, pass(x) :: set_remote_build => psb_s_set_remote_build + procedure, pass(x) :: is_remote_build => s_vect_is_remote_build + procedure, pass(x) :: set_remote_build => s_vect_set_remote_build + procedure, pass(x) :: get_dupl => s_vect_get_dupl + procedure, pass(x) :: set_dupl => s_vect_set_dupl procedure, pass(x) :: all => s_vect_all procedure, pass(x) :: reall => s_vect_reall procedure, pass(x) :: zero => s_vect_zero @@ -159,7 +161,9 @@ module psb_s_vect_mod & s_vect_cnv, s_vect_set_scal, & & s_vect_set_vect, s_vect_clone, s_vect_sync, s_vect_is_host, & & s_vect_is_dev, s_vect_is_sync, s_vect_set_host, & - & s_vect_set_dev, s_vect_set_sync + & s_vect_set_dev, s_vect_set_sync, & + & s_vect_set_remote_build, s_is_remote_build, & + & s_vect_set_dupl, s_get_dupl private :: s_vect_dot_v, s_vect_dot_a, s_vect_axpby_v, s_vect_axpby_a, & & s_vect_mlt_v, s_vect_mlt_a, s_vect_mlt_a_2, s_vect_mlt_v_2, & @@ -182,14 +186,34 @@ module psb_s_vect_mod contains - function psb_s_is_remote_build(x) result(res) + function s_vect_get_dupl(x) result(res) + implicit none + class(psb_s_vect_type), intent(in) :: x + integer(psb_ipk_) :: res + res = x%dupl + end function s_vect_get_dupl + + subroutine s_vect_set_dupl(x,val) + implicit none + class(psb_s_vect_type), intent(inout) :: x + integer(psb_ipk_), intent(in), optional :: val + + if (present(val)) then + x%dupl = val + else + x%dupl = psb_dupl_def_ + end if + end subroutine s_vect_set_dupl + + + function s_vect_is_remote_build(x) result(res) implicit none class(psb_s_vect_type), intent(in) :: x logical :: res res = (x%remote_build == psb_matbld_remote_) - end function psb_s_is_remote_build + end function s_vect_is_remote_build - subroutine psb_s_set_remote_build(x,val) + subroutine s_vect_set_remote_build(x,val) implicit none class(psb_s_vect_type), intent(inout) :: x integer(psb_ipk_), intent(in), optional :: val @@ -199,7 +223,7 @@ contains else x%remote_build = psb_matbld_remote_ end if - end subroutine psb_s_set_remote_build + end subroutine s_vect_set_remote_build subroutine psb_s_set_vect_default(v) implicit none @@ -1290,7 +1314,6 @@ contains end module psb_s_vect_mod - module psb_s_multivect_mod use psb_s_base_multivect_mod @@ -1302,11 +1325,19 @@ module psb_s_multivect_mod type psb_s_multivect_type class(psb_s_base_multivect_type), allocatable :: v + integer(psb_ipk_) :: nrmv = 0 + integer(psb_ipk_) :: remote_build=psb_matbld_noremote_ + integer(psb_ipk_) :: dupl = psb_dupl_add_ + real(psb_spk_), allocatable :: rmtv(:,:) contains procedure, pass(x) :: get_nrows => s_vect_get_nrows procedure, pass(x) :: get_ncols => s_vect_get_ncols procedure, pass(x) :: sizeof => s_vect_sizeof procedure, pass(x) :: get_fmt => s_vect_get_fmt + procedure, pass(x) :: is_remote_build => s_mvect_is_remote_build + procedure, pass(x) :: set_remote_build => s_mvect_set_remote_build + procedure, pass(x) :: get_dupl => s_mvect_get_dupl + procedure, pass(x) :: set_dupl => s_mvect_set_dupl procedure, pass(x) :: all => s_vect_all procedure, pass(x) :: reall => s_vect_reall @@ -1374,6 +1405,46 @@ module psb_s_multivect_mod contains + + function s_mvect_get_dupl(x) result(res) + implicit none + class(psb_s_multivect_type), intent(in) :: x + integer(psb_ipk_) :: res + res = x%dupl + end function s_mvect_get_dupl + + subroutine s_mvect_set_dupl(x,val) + implicit none + class(psb_s_multivect_type), intent(inout) :: x + integer(psb_ipk_), intent(in), optional :: val + + if (present(val)) then + x%dupl = val + else + x%dupl = psb_dupl_def_ + end if + end subroutine s_mvect_set_dupl + + + function s_mvect_is_remote_build(x) result(res) + implicit none + class(psb_s_multivect_type), intent(in) :: x + logical :: res + res = (x%remote_build == psb_matbld_remote_) + end function s_mvect_is_remote_build + + subroutine s_mvect_set_remote_build(x,val) + implicit none + class(psb_s_multivect_type), intent(inout) :: x + integer(psb_ipk_), intent(in), optional :: val + + if (present(val)) then + x%remote_build = val + else + x%remote_build = psb_matbld_remote_ + end if + end subroutine s_mvect_set_remote_build + subroutine psb_s_set_multivect_default(v) implicit none diff --git a/base/modules/serial/psb_z_mat_mod.F90 b/base/modules/serial/psb_z_mat_mod.F90 index b84cd610..c534cad5 100644 --- a/base/modules/serial/psb_z_mat_mod.F90 +++ b/base/modules/serial/psb_z_mat_mod.F90 @@ -84,7 +84,7 @@ module psb_z_mat_mod type :: psb_zspmat_type - class(psb_z_base_sparse_mat), allocatable :: a + class(psb_z_base_sparse_mat), allocatable :: a integer(psb_ipk_) :: remote_build=psb_matbld_noremote_ type(psb_lz_coo_sparse_mat), allocatable :: rmta diff --git a/base/modules/serial/psb_z_vect_mod.F90 b/base/modules/serial/psb_z_vect_mod.F90 index 2789e58b..7d2f3b9e 100644 --- a/base/modules/serial/psb_z_vect_mod.F90 +++ b/base/modules/serial/psb_z_vect_mod.F90 @@ -53,8 +53,10 @@ module psb_z_vect_mod procedure, pass(x) :: get_nrows => z_vect_get_nrows procedure, pass(x) :: sizeof => z_vect_sizeof procedure, pass(x) :: get_fmt => z_vect_get_fmt - procedure, pass(x) :: is_remote_build => psb_z_is_remote_build - procedure, pass(x) :: set_remote_build => psb_z_set_remote_build + procedure, pass(x) :: is_remote_build => z_vect_is_remote_build + procedure, pass(x) :: set_remote_build => z_vect_set_remote_build + procedure, pass(x) :: get_dupl => z_vect_get_dupl + procedure, pass(x) :: set_dupl => z_vect_set_dupl procedure, pass(x) :: all => z_vect_all procedure, pass(x) :: reall => z_vect_reall procedure, pass(x) :: zero => z_vect_zero @@ -152,7 +154,9 @@ module psb_z_vect_mod & z_vect_cnv, z_vect_set_scal, & & z_vect_set_vect, z_vect_clone, z_vect_sync, z_vect_is_host, & & z_vect_is_dev, z_vect_is_sync, z_vect_set_host, & - & z_vect_set_dev, z_vect_set_sync + & z_vect_set_dev, z_vect_set_sync, & + & z_vect_set_remote_build, z_is_remote_build, & + & z_vect_set_dupl, z_get_dupl private :: z_vect_dot_v, z_vect_dot_a, z_vect_axpby_v, z_vect_axpby_a, & & z_vect_mlt_v, z_vect_mlt_a, z_vect_mlt_a_2, z_vect_mlt_v_2, & @@ -175,14 +179,34 @@ module psb_z_vect_mod contains - function psb_z_is_remote_build(x) result(res) + function z_vect_get_dupl(x) result(res) + implicit none + class(psb_z_vect_type), intent(in) :: x + integer(psb_ipk_) :: res + res = x%dupl + end function z_vect_get_dupl + + subroutine z_vect_set_dupl(x,val) + implicit none + class(psb_z_vect_type), intent(inout) :: x + integer(psb_ipk_), intent(in), optional :: val + + if (present(val)) then + x%dupl = val + else + x%dupl = psb_dupl_def_ + end if + end subroutine z_vect_set_dupl + + + function z_vect_is_remote_build(x) result(res) implicit none class(psb_z_vect_type), intent(in) :: x logical :: res res = (x%remote_build == psb_matbld_remote_) - end function psb_z_is_remote_build + end function z_vect_is_remote_build - subroutine psb_z_set_remote_build(x,val) + subroutine z_vect_set_remote_build(x,val) implicit none class(psb_z_vect_type), intent(inout) :: x integer(psb_ipk_), intent(in), optional :: val @@ -192,7 +216,7 @@ contains else x%remote_build = psb_matbld_remote_ end if - end subroutine psb_z_set_remote_build + end subroutine z_vect_set_remote_build subroutine psb_z_set_vect_default(v) implicit none @@ -1211,7 +1235,6 @@ contains end module psb_z_vect_mod - module psb_z_multivect_mod use psb_z_base_multivect_mod @@ -1223,11 +1246,19 @@ module psb_z_multivect_mod type psb_z_multivect_type class(psb_z_base_multivect_type), allocatable :: v + integer(psb_ipk_) :: nrmv = 0 + integer(psb_ipk_) :: remote_build=psb_matbld_noremote_ + integer(psb_ipk_) :: dupl = psb_dupl_add_ + complex(psb_dpk_), allocatable :: rmtv(:,:) contains procedure, pass(x) :: get_nrows => z_vect_get_nrows procedure, pass(x) :: get_ncols => z_vect_get_ncols procedure, pass(x) :: sizeof => z_vect_sizeof procedure, pass(x) :: get_fmt => z_vect_get_fmt + procedure, pass(x) :: is_remote_build => z_mvect_is_remote_build + procedure, pass(x) :: set_remote_build => z_mvect_set_remote_build + procedure, pass(x) :: get_dupl => z_mvect_get_dupl + procedure, pass(x) :: set_dupl => z_mvect_set_dupl procedure, pass(x) :: all => z_vect_all procedure, pass(x) :: reall => z_vect_reall @@ -1295,6 +1326,46 @@ module psb_z_multivect_mod contains + + function z_mvect_get_dupl(x) result(res) + implicit none + class(psb_z_multivect_type), intent(in) :: x + integer(psb_ipk_) :: res + res = x%dupl + end function z_mvect_get_dupl + + subroutine z_mvect_set_dupl(x,val) + implicit none + class(psb_z_multivect_type), intent(inout) :: x + integer(psb_ipk_), intent(in), optional :: val + + if (present(val)) then + x%dupl = val + else + x%dupl = psb_dupl_def_ + end if + end subroutine z_mvect_set_dupl + + + function z_mvect_is_remote_build(x) result(res) + implicit none + class(psb_z_multivect_type), intent(in) :: x + logical :: res + res = (x%remote_build == psb_matbld_remote_) + end function z_mvect_is_remote_build + + subroutine z_mvect_set_remote_build(x,val) + implicit none + class(psb_z_multivect_type), intent(inout) :: x + integer(psb_ipk_), intent(in), optional :: val + + if (present(val)) then + x%remote_build = val + else + x%remote_build = psb_matbld_remote_ + end if + end subroutine z_mvect_set_remote_build + subroutine psb_z_set_multivect_default(v) implicit none diff --git a/base/modules/tools/psb_c_tools_mod.F90 b/base/modules/tools/psb_c_tools_mod.F90 index 3ccd5e69..c6e06134 100644 --- a/base/modules/tools/psb_c_tools_mod.F90 +++ b/base/modules/tools/psb_c_tools_mod.F90 @@ -40,41 +40,43 @@ Module psb_c_tools_mod use psi_mod, only : psb_snd, psb_rcv ! Needed only for psb_getelem interface psb_geall - subroutine psb_calloc_vect(x, desc_a,info) + subroutine psb_calloc_vect(x, desc_a,info, dupl, bldmode) import implicit none type(psb_c_vect_type), intent(out) :: x type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_),intent(out) :: info + integer(psb_ipk_), optional, intent(in) :: dupl, bldmode end subroutine psb_calloc_vect - subroutine psb_calloc_vect_r2(x, desc_a,info,n,lb) + subroutine psb_calloc_vect_r2(x, desc_a,info,n,lb, dupl, bldmode) import implicit none type(psb_c_vect_type), allocatable, intent(out) :: x(:) type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_),intent(out) :: info integer(psb_ipk_), optional, intent(in) :: n, lb + integer(psb_ipk_), optional, intent(in) :: dupl, bldmode end subroutine psb_calloc_vect_r2 - subroutine psb_calloc_multivect(x, desc_a,info,n) + subroutine psb_calloc_multivect(x, desc_a,info,n, dupl, bldmode) import implicit none type(psb_c_multivect_type), intent(out) :: x type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_),intent(out) :: info integer(psb_ipk_), optional, intent(in) :: n + integer(psb_ipk_), optional, intent(in) :: dupl, bldmode end subroutine psb_calloc_multivect end interface interface psb_geasb - subroutine psb_casb_vect(x, desc_a, info,mold, dupl,scratch) + subroutine psb_casb_vect(x, desc_a, info,mold, scratch) import implicit none type(psb_desc_type), intent(in) :: desc_a type(psb_c_vect_type), intent(inout) :: x integer(psb_ipk_), intent(out) :: info class(psb_c_base_vect_type), intent(in), optional :: mold - integer(psb_ipk_), optional, intent(in) :: dupl logical, intent(in), optional :: scratch end subroutine psb_casb_vect subroutine psb_casb_vect_r2(x, desc_a, info,mold, scratch) @@ -124,7 +126,7 @@ Module psb_c_tools_mod interface psb_geins - subroutine psb_cins_vect(m,irw,val,x,desc_a,info,dupl,local) + subroutine psb_cins_vect(m,irw,val,x,desc_a,info,local) import implicit none integer(psb_ipk_), intent(in) :: m @@ -133,10 +135,9 @@ Module psb_c_tools_mod integer(psb_lpk_), intent(in) :: irw(:) complex(psb_spk_), intent(in) :: val(:) integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_), optional, intent(in) :: dupl logical, intent(in), optional :: local end subroutine psb_cins_vect - subroutine psb_cins_vect_v(m,irw,val,x,desc_a,info,dupl,local) + subroutine psb_cins_vect_v(m,irw,val,x,desc_a,info,local) import implicit none integer(psb_ipk_), intent(in) :: m @@ -145,10 +146,9 @@ Module psb_c_tools_mod type(psb_l_vect_type), intent(inout) :: irw type(psb_c_vect_type), intent(inout) :: val integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_), optional, intent(in) :: dupl logical, intent(in), optional :: local end subroutine psb_cins_vect_v - subroutine psb_cins_vect_r2(m,irw,val,x,desc_a,info,dupl,local) + subroutine psb_cins_vect_r2(m,irw,val,x,desc_a,info,local) import implicit none integer(psb_ipk_), intent(in) :: m @@ -157,10 +157,9 @@ Module psb_c_tools_mod integer(psb_lpk_), intent(in) :: irw(:) complex(psb_spk_), intent(in) :: val(:,:) integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_), optional, intent(in) :: dupl logical, intent(in), optional :: local end subroutine psb_cins_vect_r2 - subroutine psb_cins_multivect(m,irw,val,x,desc_a,info,dupl,local) + subroutine psb_cins_multivect(m,irw,val,x,desc_a,info,local) import implicit none integer(psb_ipk_), intent(in) :: m @@ -169,7 +168,6 @@ Module psb_c_tools_mod integer(psb_lpk_), intent(in) :: irw(:) complex(psb_spk_), intent(in) :: val(:,:) integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_), optional, intent(in) :: dupl logical, intent(in), optional :: local end subroutine psb_cins_multivect end interface @@ -240,36 +238,36 @@ Module psb_c_tools_mod interface psb_spall - subroutine psb_cspalloc(a, desc_a, info, nnz, bldmode) + subroutine psb_cspalloc(a, desc_a, info, nnz, dupl, bldmode) import implicit none - type(psb_desc_type), intent(in) :: desc_a - type(psb_cspmat_type), intent(inout) :: a - integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_), optional, intent(in) :: nnz, bldmode + type(psb_desc_type), intent(in) :: desc_a + type(psb_cspmat_type), intent(inout) :: a + integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), optional, intent(in) :: nnz, bldmode + integer(psb_ipk_), optional, intent(in) :: dupl end subroutine psb_cspalloc end interface interface psb_spasb - subroutine psb_cspasb(a,desc_a, info, afmt, upd, dupl,mold) + subroutine psb_cspasb(a,desc_a, info, afmt, upd, mold) import implicit none type(psb_cspmat_type), intent (inout) :: a type(psb_desc_type), intent(inout) :: desc_a integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_),optional, intent(in) :: dupl, upd + integer(psb_ipk_),optional, intent(in) :: upd character(len=*), optional, intent(in) :: afmt class(psb_c_base_sparse_mat), intent(in), optional :: mold end subroutine psb_cspasb end interface interface psb_remote_vect - subroutine psb_c_remote_vect(v,desc_a, dupl, info) + subroutine psb_c_remote_vect(v,desc_a, info) import implicit none type(psb_c_vect_type),Intent(inout) :: v type(psb_desc_type),intent(in) :: desc_a - integer(psb_ipk_), intent(in) :: dupl integer(psb_ipk_), intent(out) :: info end subroutine psb_c_remote_vect end interface psb_remote_vect diff --git a/base/modules/tools/psb_d_tools_mod.F90 b/base/modules/tools/psb_d_tools_mod.F90 index 8756b874..2c39bffd 100644 --- a/base/modules/tools/psb_d_tools_mod.F90 +++ b/base/modules/tools/psb_d_tools_mod.F90 @@ -40,41 +40,43 @@ Module psb_d_tools_mod use psi_mod, only : psb_snd, psb_rcv ! Needed only for psb_getelem interface psb_geall - subroutine psb_dalloc_vect(x, desc_a,info) + subroutine psb_dalloc_vect(x, desc_a,info, dupl, bldmode) import implicit none type(psb_d_vect_type), intent(out) :: x type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_),intent(out) :: info + integer(psb_ipk_), optional, intent(in) :: dupl, bldmode end subroutine psb_dalloc_vect - subroutine psb_dalloc_vect_r2(x, desc_a,info,n,lb) + subroutine psb_dalloc_vect_r2(x, desc_a,info,n,lb, dupl, bldmode) import implicit none type(psb_d_vect_type), allocatable, intent(out) :: x(:) type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_),intent(out) :: info integer(psb_ipk_), optional, intent(in) :: n, lb + integer(psb_ipk_), optional, intent(in) :: dupl, bldmode end subroutine psb_dalloc_vect_r2 - subroutine psb_dalloc_multivect(x, desc_a,info,n) + subroutine psb_dalloc_multivect(x, desc_a,info,n, dupl, bldmode) import implicit none type(psb_d_multivect_type), intent(out) :: x type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_),intent(out) :: info integer(psb_ipk_), optional, intent(in) :: n + integer(psb_ipk_), optional, intent(in) :: dupl, bldmode end subroutine psb_dalloc_multivect end interface interface psb_geasb - subroutine psb_dasb_vect(x, desc_a, info,mold, dupl,scratch) + subroutine psb_dasb_vect(x, desc_a, info,mold, scratch) import implicit none type(psb_desc_type), intent(in) :: desc_a type(psb_d_vect_type), intent(inout) :: x integer(psb_ipk_), intent(out) :: info class(psb_d_base_vect_type), intent(in), optional :: mold - integer(psb_ipk_), optional, intent(in) :: dupl logical, intent(in), optional :: scratch end subroutine psb_dasb_vect subroutine psb_dasb_vect_r2(x, desc_a, info,mold, scratch) @@ -124,7 +126,7 @@ Module psb_d_tools_mod interface psb_geins - subroutine psb_dins_vect(m,irw,val,x,desc_a,info,dupl,local) + subroutine psb_dins_vect(m,irw,val,x,desc_a,info,local) import implicit none integer(psb_ipk_), intent(in) :: m @@ -133,10 +135,9 @@ Module psb_d_tools_mod integer(psb_lpk_), intent(in) :: irw(:) real(psb_dpk_), intent(in) :: val(:) integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_), optional, intent(in) :: dupl logical, intent(in), optional :: local end subroutine psb_dins_vect - subroutine psb_dins_vect_v(m,irw,val,x,desc_a,info,dupl,local) + subroutine psb_dins_vect_v(m,irw,val,x,desc_a,info,local) import implicit none integer(psb_ipk_), intent(in) :: m @@ -145,10 +146,9 @@ Module psb_d_tools_mod type(psb_l_vect_type), intent(inout) :: irw type(psb_d_vect_type), intent(inout) :: val integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_), optional, intent(in) :: dupl logical, intent(in), optional :: local end subroutine psb_dins_vect_v - subroutine psb_dins_vect_r2(m,irw,val,x,desc_a,info,dupl,local) + subroutine psb_dins_vect_r2(m,irw,val,x,desc_a,info,local) import implicit none integer(psb_ipk_), intent(in) :: m @@ -157,10 +157,9 @@ Module psb_d_tools_mod integer(psb_lpk_), intent(in) :: irw(:) real(psb_dpk_), intent(in) :: val(:,:) integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_), optional, intent(in) :: dupl logical, intent(in), optional :: local end subroutine psb_dins_vect_r2 - subroutine psb_dins_multivect(m,irw,val,x,desc_a,info,dupl,local) + subroutine psb_dins_multivect(m,irw,val,x,desc_a,info,local) import implicit none integer(psb_ipk_), intent(in) :: m @@ -169,7 +168,6 @@ Module psb_d_tools_mod integer(psb_lpk_), intent(in) :: irw(:) real(psb_dpk_), intent(in) :: val(:,:) integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_), optional, intent(in) :: dupl logical, intent(in), optional :: local end subroutine psb_dins_multivect end interface @@ -240,36 +238,36 @@ Module psb_d_tools_mod interface psb_spall - subroutine psb_dspalloc(a, desc_a, info, nnz, bldmode) + subroutine psb_dspalloc(a, desc_a, info, nnz, dupl, bldmode) import implicit none - type(psb_desc_type), intent(in) :: desc_a - type(psb_dspmat_type), intent(inout) :: a - integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_), optional, intent(in) :: nnz, bldmode + type(psb_desc_type), intent(in) :: desc_a + type(psb_dspmat_type), intent(inout) :: a + integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), optional, intent(in) :: nnz, bldmode + integer(psb_ipk_), optional, intent(in) :: dupl end subroutine psb_dspalloc end interface interface psb_spasb - subroutine psb_dspasb(a,desc_a, info, afmt, upd, dupl,mold) + subroutine psb_dspasb(a,desc_a, info, afmt, upd, mold) import implicit none type(psb_dspmat_type), intent (inout) :: a type(psb_desc_type), intent(inout) :: desc_a integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_),optional, intent(in) :: dupl, upd + integer(psb_ipk_),optional, intent(in) :: upd character(len=*), optional, intent(in) :: afmt class(psb_d_base_sparse_mat), intent(in), optional :: mold end subroutine psb_dspasb end interface interface psb_remote_vect - subroutine psb_d_remote_vect(v,desc_a, dupl, info) + subroutine psb_d_remote_vect(v,desc_a, info) import implicit none type(psb_d_vect_type),Intent(inout) :: v type(psb_desc_type),intent(in) :: desc_a - integer(psb_ipk_), intent(in) :: dupl integer(psb_ipk_), intent(out) :: info end subroutine psb_d_remote_vect end interface psb_remote_vect diff --git a/base/modules/tools/psb_i_tools_mod.F90 b/base/modules/tools/psb_i_tools_mod.F90 index ff4f1504..94fb04bc 100644 --- a/base/modules/tools/psb_i_tools_mod.F90 +++ b/base/modules/tools/psb_i_tools_mod.F90 @@ -37,41 +37,43 @@ Module psb_i_tools_mod use psi_mod, only : psb_snd, psb_rcv ! Needed only for psb_getelem interface psb_geall - subroutine psb_ialloc_vect(x, desc_a,info) + subroutine psb_ialloc_vect(x, desc_a,info, dupl, bldmode) import implicit none type(psb_i_vect_type), intent(out) :: x type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_),intent(out) :: info + integer(psb_ipk_), optional, intent(in) :: dupl, bldmode end subroutine psb_ialloc_vect - subroutine psb_ialloc_vect_r2(x, desc_a,info,n,lb) + subroutine psb_ialloc_vect_r2(x, desc_a,info,n,lb, dupl, bldmode) import implicit none type(psb_i_vect_type), allocatable, intent(out) :: x(:) type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_),intent(out) :: info integer(psb_ipk_), optional, intent(in) :: n, lb + integer(psb_ipk_), optional, intent(in) :: dupl, bldmode end subroutine psb_ialloc_vect_r2 - subroutine psb_ialloc_multivect(x, desc_a,info,n) + subroutine psb_ialloc_multivect(x, desc_a,info,n, dupl, bldmode) import implicit none type(psb_i_multivect_type), intent(out) :: x type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_),intent(out) :: info integer(psb_ipk_), optional, intent(in) :: n + integer(psb_ipk_), optional, intent(in) :: dupl, bldmode end subroutine psb_ialloc_multivect end interface interface psb_geasb - subroutine psb_iasb_vect(x, desc_a, info,mold, dupl,scratch) + subroutine psb_iasb_vect(x, desc_a, info,mold, scratch) import implicit none type(psb_desc_type), intent(in) :: desc_a type(psb_i_vect_type), intent(inout) :: x integer(psb_ipk_), intent(out) :: info class(psb_i_base_vect_type), intent(in), optional :: mold - integer(psb_ipk_), optional, intent(in) :: dupl logical, intent(in), optional :: scratch end subroutine psb_iasb_vect subroutine psb_iasb_vect_r2(x, desc_a, info,mold, scratch) @@ -121,7 +123,7 @@ Module psb_i_tools_mod interface psb_geins - subroutine psb_iins_vect(m,irw,val,x,desc_a,info,dupl,local) + subroutine psb_iins_vect(m,irw,val,x,desc_a,info,local) import implicit none integer(psb_ipk_), intent(in) :: m @@ -130,10 +132,9 @@ Module psb_i_tools_mod integer(psb_lpk_), intent(in) :: irw(:) integer(psb_ipk_), intent(in) :: val(:) integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_), optional, intent(in) :: dupl logical, intent(in), optional :: local end subroutine psb_iins_vect - subroutine psb_iins_vect_v(m,irw,val,x,desc_a,info,dupl,local) + subroutine psb_iins_vect_v(m,irw,val,x,desc_a,info,local) import implicit none integer(psb_ipk_), intent(in) :: m @@ -142,10 +143,9 @@ Module psb_i_tools_mod type(psb_l_vect_type), intent(inout) :: irw type(psb_i_vect_type), intent(inout) :: val integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_), optional, intent(in) :: dupl logical, intent(in), optional :: local end subroutine psb_iins_vect_v - subroutine psb_iins_vect_r2(m,irw,val,x,desc_a,info,dupl,local) + subroutine psb_iins_vect_r2(m,irw,val,x,desc_a,info,local) import implicit none integer(psb_ipk_), intent(in) :: m @@ -154,10 +154,9 @@ Module psb_i_tools_mod integer(psb_lpk_), intent(in) :: irw(:) integer(psb_ipk_), intent(in) :: val(:,:) integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_), optional, intent(in) :: dupl logical, intent(in), optional :: local end subroutine psb_iins_vect_r2 - subroutine psb_iins_multivect(m,irw,val,x,desc_a,info,dupl,local) + subroutine psb_iins_multivect(m,irw,val,x,desc_a,info,local) import implicit none integer(psb_ipk_), intent(in) :: m @@ -166,7 +165,6 @@ Module psb_i_tools_mod integer(psb_lpk_), intent(in) :: irw(:) integer(psb_ipk_), intent(in) :: val(:,:) integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_), optional, intent(in) :: dupl logical, intent(in), optional :: local end subroutine psb_iins_multivect end interface diff --git a/base/modules/tools/psb_l_tools_mod.F90 b/base/modules/tools/psb_l_tools_mod.F90 index 3b15ffd3..61840af6 100644 --- a/base/modules/tools/psb_l_tools_mod.F90 +++ b/base/modules/tools/psb_l_tools_mod.F90 @@ -37,41 +37,43 @@ Module psb_l_tools_mod use psi_mod, only : psb_snd, psb_rcv ! Needed only for psb_getelem interface psb_geall - subroutine psb_lalloc_vect(x, desc_a,info) + subroutine psb_lalloc_vect(x, desc_a,info, dupl, bldmode) import implicit none type(psb_l_vect_type), intent(out) :: x type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_),intent(out) :: info + integer(psb_ipk_), optional, intent(in) :: dupl, bldmode end subroutine psb_lalloc_vect - subroutine psb_lalloc_vect_r2(x, desc_a,info,n,lb) + subroutine psb_lalloc_vect_r2(x, desc_a,info,n,lb, dupl, bldmode) import implicit none type(psb_l_vect_type), allocatable, intent(out) :: x(:) type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_),intent(out) :: info integer(psb_ipk_), optional, intent(in) :: n, lb + integer(psb_ipk_), optional, intent(in) :: dupl, bldmode end subroutine psb_lalloc_vect_r2 - subroutine psb_lalloc_multivect(x, desc_a,info,n) + subroutine psb_lalloc_multivect(x, desc_a,info,n, dupl, bldmode) import implicit none type(psb_l_multivect_type), intent(out) :: x type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_),intent(out) :: info integer(psb_ipk_), optional, intent(in) :: n + integer(psb_ipk_), optional, intent(in) :: dupl, bldmode end subroutine psb_lalloc_multivect end interface interface psb_geasb - subroutine psb_lasb_vect(x, desc_a, info,mold, dupl,scratch) + subroutine psb_lasb_vect(x, desc_a, info,mold, scratch) import implicit none type(psb_desc_type), intent(in) :: desc_a type(psb_l_vect_type), intent(inout) :: x integer(psb_ipk_), intent(out) :: info class(psb_l_base_vect_type), intent(in), optional :: mold - integer(psb_ipk_), optional, intent(in) :: dupl logical, intent(in), optional :: scratch end subroutine psb_lasb_vect subroutine psb_lasb_vect_r2(x, desc_a, info,mold, scratch) @@ -121,7 +123,7 @@ Module psb_l_tools_mod interface psb_geins - subroutine psb_lins_vect(m,irw,val,x,desc_a,info,dupl,local) + subroutine psb_lins_vect(m,irw,val,x,desc_a,info,local) import implicit none integer(psb_ipk_), intent(in) :: m @@ -130,10 +132,9 @@ Module psb_l_tools_mod integer(psb_lpk_), intent(in) :: irw(:) integer(psb_lpk_), intent(in) :: val(:) integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_), optional, intent(in) :: dupl logical, intent(in), optional :: local end subroutine psb_lins_vect - subroutine psb_lins_vect_v(m,irw,val,x,desc_a,info,dupl,local) + subroutine psb_lins_vect_v(m,irw,val,x,desc_a,info,local) import implicit none integer(psb_ipk_), intent(in) :: m @@ -142,10 +143,9 @@ Module psb_l_tools_mod type(psb_l_vect_type), intent(inout) :: irw type(psb_l_vect_type), intent(inout) :: val integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_), optional, intent(in) :: dupl logical, intent(in), optional :: local end subroutine psb_lins_vect_v - subroutine psb_lins_vect_r2(m,irw,val,x,desc_a,info,dupl,local) + subroutine psb_lins_vect_r2(m,irw,val,x,desc_a,info,local) import implicit none integer(psb_ipk_), intent(in) :: m @@ -154,10 +154,9 @@ Module psb_l_tools_mod integer(psb_lpk_), intent(in) :: irw(:) integer(psb_lpk_), intent(in) :: val(:,:) integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_), optional, intent(in) :: dupl logical, intent(in), optional :: local end subroutine psb_lins_vect_r2 - subroutine psb_lins_multivect(m,irw,val,x,desc_a,info,dupl,local) + subroutine psb_lins_multivect(m,irw,val,x,desc_a,info,local) import implicit none integer(psb_ipk_), intent(in) :: m @@ -166,7 +165,6 @@ Module psb_l_tools_mod integer(psb_lpk_), intent(in) :: irw(:) integer(psb_lpk_), intent(in) :: val(:,:) integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_), optional, intent(in) :: dupl logical, intent(in), optional :: local end subroutine psb_lins_multivect end interface diff --git a/base/modules/tools/psb_s_tools_mod.F90 b/base/modules/tools/psb_s_tools_mod.F90 index df22e689..98d8dd8e 100644 --- a/base/modules/tools/psb_s_tools_mod.F90 +++ b/base/modules/tools/psb_s_tools_mod.F90 @@ -40,41 +40,43 @@ Module psb_s_tools_mod use psi_mod, only : psb_snd, psb_rcv ! Needed only for psb_getelem interface psb_geall - subroutine psb_salloc_vect(x, desc_a,info) + subroutine psb_salloc_vect(x, desc_a,info, dupl, bldmode) import implicit none type(psb_s_vect_type), intent(out) :: x type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_),intent(out) :: info + integer(psb_ipk_), optional, intent(in) :: dupl, bldmode end subroutine psb_salloc_vect - subroutine psb_salloc_vect_r2(x, desc_a,info,n,lb) + subroutine psb_salloc_vect_r2(x, desc_a,info,n,lb, dupl, bldmode) import implicit none type(psb_s_vect_type), allocatable, intent(out) :: x(:) type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_),intent(out) :: info integer(psb_ipk_), optional, intent(in) :: n, lb + integer(psb_ipk_), optional, intent(in) :: dupl, bldmode end subroutine psb_salloc_vect_r2 - subroutine psb_salloc_multivect(x, desc_a,info,n) + subroutine psb_salloc_multivect(x, desc_a,info,n, dupl, bldmode) import implicit none type(psb_s_multivect_type), intent(out) :: x type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_),intent(out) :: info integer(psb_ipk_), optional, intent(in) :: n + integer(psb_ipk_), optional, intent(in) :: dupl, bldmode end subroutine psb_salloc_multivect end interface interface psb_geasb - subroutine psb_sasb_vect(x, desc_a, info,mold, dupl,scratch) + subroutine psb_sasb_vect(x, desc_a, info,mold, scratch) import implicit none type(psb_desc_type), intent(in) :: desc_a type(psb_s_vect_type), intent(inout) :: x integer(psb_ipk_), intent(out) :: info class(psb_s_base_vect_type), intent(in), optional :: mold - integer(psb_ipk_), optional, intent(in) :: dupl logical, intent(in), optional :: scratch end subroutine psb_sasb_vect subroutine psb_sasb_vect_r2(x, desc_a, info,mold, scratch) @@ -124,7 +126,7 @@ Module psb_s_tools_mod interface psb_geins - subroutine psb_sins_vect(m,irw,val,x,desc_a,info,dupl,local) + subroutine psb_sins_vect(m,irw,val,x,desc_a,info,local) import implicit none integer(psb_ipk_), intent(in) :: m @@ -133,10 +135,9 @@ Module psb_s_tools_mod integer(psb_lpk_), intent(in) :: irw(:) real(psb_spk_), intent(in) :: val(:) integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_), optional, intent(in) :: dupl logical, intent(in), optional :: local end subroutine psb_sins_vect - subroutine psb_sins_vect_v(m,irw,val,x,desc_a,info,dupl,local) + subroutine psb_sins_vect_v(m,irw,val,x,desc_a,info,local) import implicit none integer(psb_ipk_), intent(in) :: m @@ -145,10 +146,9 @@ Module psb_s_tools_mod type(psb_l_vect_type), intent(inout) :: irw type(psb_s_vect_type), intent(inout) :: val integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_), optional, intent(in) :: dupl logical, intent(in), optional :: local end subroutine psb_sins_vect_v - subroutine psb_sins_vect_r2(m,irw,val,x,desc_a,info,dupl,local) + subroutine psb_sins_vect_r2(m,irw,val,x,desc_a,info,local) import implicit none integer(psb_ipk_), intent(in) :: m @@ -157,10 +157,9 @@ Module psb_s_tools_mod integer(psb_lpk_), intent(in) :: irw(:) real(psb_spk_), intent(in) :: val(:,:) integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_), optional, intent(in) :: dupl logical, intent(in), optional :: local end subroutine psb_sins_vect_r2 - subroutine psb_sins_multivect(m,irw,val,x,desc_a,info,dupl,local) + subroutine psb_sins_multivect(m,irw,val,x,desc_a,info,local) import implicit none integer(psb_ipk_), intent(in) :: m @@ -169,7 +168,6 @@ Module psb_s_tools_mod integer(psb_lpk_), intent(in) :: irw(:) real(psb_spk_), intent(in) :: val(:,:) integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_), optional, intent(in) :: dupl logical, intent(in), optional :: local end subroutine psb_sins_multivect end interface @@ -240,36 +238,36 @@ Module psb_s_tools_mod interface psb_spall - subroutine psb_sspalloc(a, desc_a, info, nnz, bldmode) + subroutine psb_sspalloc(a, desc_a, info, nnz, dupl, bldmode) import implicit none - type(psb_desc_type), intent(in) :: desc_a - type(psb_sspmat_type), intent(inout) :: a - integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_), optional, intent(in) :: nnz, bldmode + type(psb_desc_type), intent(in) :: desc_a + type(psb_sspmat_type), intent(inout) :: a + integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), optional, intent(in) :: nnz, bldmode + integer(psb_ipk_), optional, intent(in) :: dupl end subroutine psb_sspalloc end interface interface psb_spasb - subroutine psb_sspasb(a,desc_a, info, afmt, upd, dupl,mold) + subroutine psb_sspasb(a,desc_a, info, afmt, upd, mold) import implicit none type(psb_sspmat_type), intent (inout) :: a type(psb_desc_type), intent(inout) :: desc_a integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_),optional, intent(in) :: dupl, upd + integer(psb_ipk_),optional, intent(in) :: upd character(len=*), optional, intent(in) :: afmt class(psb_s_base_sparse_mat), intent(in), optional :: mold end subroutine psb_sspasb end interface interface psb_remote_vect - subroutine psb_s_remote_vect(v,desc_a, dupl, info) + subroutine psb_s_remote_vect(v,desc_a, info) import implicit none type(psb_s_vect_type),Intent(inout) :: v type(psb_desc_type),intent(in) :: desc_a - integer(psb_ipk_), intent(in) :: dupl integer(psb_ipk_), intent(out) :: info end subroutine psb_s_remote_vect end interface psb_remote_vect diff --git a/base/modules/tools/psb_z_tools_mod.F90 b/base/modules/tools/psb_z_tools_mod.F90 index 8635b24b..04960560 100644 --- a/base/modules/tools/psb_z_tools_mod.F90 +++ b/base/modules/tools/psb_z_tools_mod.F90 @@ -40,41 +40,43 @@ Module psb_z_tools_mod use psi_mod, only : psb_snd, psb_rcv ! Needed only for psb_getelem interface psb_geall - subroutine psb_zalloc_vect(x, desc_a,info) + subroutine psb_zalloc_vect(x, desc_a,info, dupl, bldmode) import implicit none type(psb_z_vect_type), intent(out) :: x type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_),intent(out) :: info + integer(psb_ipk_), optional, intent(in) :: dupl, bldmode end subroutine psb_zalloc_vect - subroutine psb_zalloc_vect_r2(x, desc_a,info,n,lb) + subroutine psb_zalloc_vect_r2(x, desc_a,info,n,lb, dupl, bldmode) import implicit none type(psb_z_vect_type), allocatable, intent(out) :: x(:) type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_),intent(out) :: info integer(psb_ipk_), optional, intent(in) :: n, lb + integer(psb_ipk_), optional, intent(in) :: dupl, bldmode end subroutine psb_zalloc_vect_r2 - subroutine psb_zalloc_multivect(x, desc_a,info,n) + subroutine psb_zalloc_multivect(x, desc_a,info,n, dupl, bldmode) import implicit none type(psb_z_multivect_type), intent(out) :: x type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_),intent(out) :: info integer(psb_ipk_), optional, intent(in) :: n + integer(psb_ipk_), optional, intent(in) :: dupl, bldmode end subroutine psb_zalloc_multivect end interface interface psb_geasb - subroutine psb_zasb_vect(x, desc_a, info,mold, dupl,scratch) + subroutine psb_zasb_vect(x, desc_a, info,mold, scratch) import implicit none type(psb_desc_type), intent(in) :: desc_a type(psb_z_vect_type), intent(inout) :: x integer(psb_ipk_), intent(out) :: info class(psb_z_base_vect_type), intent(in), optional :: mold - integer(psb_ipk_), optional, intent(in) :: dupl logical, intent(in), optional :: scratch end subroutine psb_zasb_vect subroutine psb_zasb_vect_r2(x, desc_a, info,mold, scratch) @@ -124,7 +126,7 @@ Module psb_z_tools_mod interface psb_geins - subroutine psb_zins_vect(m,irw,val,x,desc_a,info,dupl,local) + subroutine psb_zins_vect(m,irw,val,x,desc_a,info,local) import implicit none integer(psb_ipk_), intent(in) :: m @@ -133,10 +135,9 @@ Module psb_z_tools_mod integer(psb_lpk_), intent(in) :: irw(:) complex(psb_dpk_), intent(in) :: val(:) integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_), optional, intent(in) :: dupl logical, intent(in), optional :: local end subroutine psb_zins_vect - subroutine psb_zins_vect_v(m,irw,val,x,desc_a,info,dupl,local) + subroutine psb_zins_vect_v(m,irw,val,x,desc_a,info,local) import implicit none integer(psb_ipk_), intent(in) :: m @@ -145,10 +146,9 @@ Module psb_z_tools_mod type(psb_l_vect_type), intent(inout) :: irw type(psb_z_vect_type), intent(inout) :: val integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_), optional, intent(in) :: dupl logical, intent(in), optional :: local end subroutine psb_zins_vect_v - subroutine psb_zins_vect_r2(m,irw,val,x,desc_a,info,dupl,local) + subroutine psb_zins_vect_r2(m,irw,val,x,desc_a,info,local) import implicit none integer(psb_ipk_), intent(in) :: m @@ -157,10 +157,9 @@ Module psb_z_tools_mod integer(psb_lpk_), intent(in) :: irw(:) complex(psb_dpk_), intent(in) :: val(:,:) integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_), optional, intent(in) :: dupl logical, intent(in), optional :: local end subroutine psb_zins_vect_r2 - subroutine psb_zins_multivect(m,irw,val,x,desc_a,info,dupl,local) + subroutine psb_zins_multivect(m,irw,val,x,desc_a,info,local) import implicit none integer(psb_ipk_), intent(in) :: m @@ -169,7 +168,6 @@ Module psb_z_tools_mod integer(psb_lpk_), intent(in) :: irw(:) complex(psb_dpk_), intent(in) :: val(:,:) integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_), optional, intent(in) :: dupl logical, intent(in), optional :: local end subroutine psb_zins_multivect end interface @@ -240,36 +238,36 @@ Module psb_z_tools_mod interface psb_spall - subroutine psb_zspalloc(a, desc_a, info, nnz, bldmode) + subroutine psb_zspalloc(a, desc_a, info, nnz, dupl, bldmode) import implicit none - type(psb_desc_type), intent(in) :: desc_a - type(psb_zspmat_type), intent(inout) :: a - integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_), optional, intent(in) :: nnz, bldmode + type(psb_desc_type), intent(in) :: desc_a + type(psb_zspmat_type), intent(inout) :: a + integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), optional, intent(in) :: nnz, bldmode + integer(psb_ipk_), optional, intent(in) :: dupl end subroutine psb_zspalloc end interface interface psb_spasb - subroutine psb_zspasb(a,desc_a, info, afmt, upd, dupl,mold) + subroutine psb_zspasb(a,desc_a, info, afmt, upd, mold) import implicit none type(psb_zspmat_type), intent (inout) :: a type(psb_desc_type), intent(inout) :: desc_a integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_),optional, intent(in) :: dupl, upd + integer(psb_ipk_),optional, intent(in) :: upd character(len=*), optional, intent(in) :: afmt class(psb_z_base_sparse_mat), intent(in), optional :: mold end subroutine psb_zspasb end interface interface psb_remote_vect - subroutine psb_z_remote_vect(v,desc_a, dupl, info) + subroutine psb_z_remote_vect(v,desc_a, info) import implicit none type(psb_z_vect_type),Intent(inout) :: v type(psb_desc_type),intent(in) :: desc_a - integer(psb_ipk_), intent(in) :: dupl integer(psb_ipk_), intent(out) :: info end subroutine psb_z_remote_vect end interface psb_remote_vect diff --git a/base/tools/psb_c_remote_mat.F90 b/base/tools/psb_c_remote_mat.F90 index bab703a5..612c92dc 100644 --- a/base/tools/psb_c_remote_mat.F90 +++ b/base/tools/psb_c_remote_mat.F90 @@ -277,7 +277,7 @@ Subroutine psb_lc_remote_mat(a,desc_a,b,info) End Subroutine psb_lc_remote_mat -subroutine psb_c_remote_vect(v,desc_a, info, dupl) +subroutine psb_c_remote_vect(v,desc_a, info) use psb_base_mod, psb_protect_name => psb_c_remote_vect #ifdef MPI_MOD @@ -291,7 +291,6 @@ subroutine psb_c_remote_vect(v,desc_a, info, dupl) type(psb_c_vect_type),Intent(inout) :: v type(psb_desc_type),intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_),optional, intent(in) :: dupl ! ...local scalars.... type(psb_ctxt_type) :: ctxt @@ -323,21 +322,12 @@ subroutine psb_c_remote_vect(v,desc_a, info, dupl) debug_unit = psb_get_debug_unit() debug_level = psb_get_debug_level() - if (present(dupl)) then - dupl_ = dupl - else - if (v%is_remote_build()) then - dupl_ = psb_dupl_add_ - else - dupl_ = psb_dupl_def_ - end if - endif - ctxt = desc_a%get_context() icomm = desc_a%get_mpic() Call psb_info(ctxt, me, np) + dupl_ = v%get_dupl() if (debug_level >= psb_debug_outer_) & & write(debug_unit,*) me,' ',trim(name),': Start' write(0,*) me, 'X_remote_vect implementation to be completed ' diff --git a/base/tools/psb_callc.f90 b/base/tools/psb_callc.f90 index 530a43a2..0c41be88 100644 --- a/base/tools/psb_callc.f90 +++ b/base/tools/psb_callc.f90 @@ -40,7 +40,7 @@ ! x - the vector to be allocated. ! desc_a - the communication descriptor. ! info - Return code -subroutine psb_calloc_vect(x, desc_a,info) +subroutine psb_calloc_vect(x, desc_a,info, dupl, bldmode) use psb_base_mod, psb_protect_name => psb_calloc_vect use psi_mod implicit none @@ -49,9 +49,11 @@ subroutine psb_calloc_vect(x, desc_a,info) type(psb_c_vect_type), intent(out) :: x type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_),intent(out) :: info + integer(psb_ipk_), optional, intent(in) :: dupl, bldmode !locals integer(psb_ipk_) :: np,me,nr,i,err_act + integer(psb_ipk_) :: dupl_, bldmode_, nrmt_ type(psb_ctxt_type) :: ctxt integer(psb_ipk_) :: debug_level, debug_unit character(len=20) :: name @@ -102,6 +104,23 @@ subroutine psb_calloc_vect(x, desc_a,info) endif call x%zero() + if (present(bldmode)) then + bldmode_ = bldmode + else + bldmode_ = psb_matbld_noremote_ + end if + if (present(dupl)) then + dupl_ = dupl + else + dupl_ = psb_dupl_def_ + end if + call x%set_dupl(dupl_) + call x%set_remote_build(bldmode_) + if (x%is_remote_build()) then + nrmt_ = max(100,(desc_a%get_local_cols()-desc_a%get_local_rows())) + allocate(x%rmtv(nrmt_)) + end if + call psb_erractionrestore(err_act) return @@ -121,7 +140,7 @@ end subroutine psb_calloc_vect ! n - optional number of columns. ! lb - optional lower bound on column indices -subroutine psb_calloc_vect_r2(x, desc_a,info,n,lb) +subroutine psb_calloc_vect_r2(x, desc_a,info,n,lb, dupl, bldmode) use psb_base_mod, psb_protect_name => psb_calloc_vect_r2 use psi_mod implicit none @@ -131,10 +150,12 @@ subroutine psb_calloc_vect_r2(x, desc_a,info,n,lb) type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_),intent(out) :: info integer(psb_ipk_), optional, intent(in) :: n,lb + integer(psb_ipk_), optional, intent(in) :: dupl, bldmode !locals type(psb_ctxt_type) :: ctxt integer(psb_ipk_) :: np,me,nr,i,err_act, n_, lb_ + integer(psb_ipk_) :: dupl_, bldmode_, nrmt_ integer(psb_ipk_) :: exch(1) integer(psb_ipk_) :: debug_level, debug_unit character(len=20) :: name @@ -208,6 +229,26 @@ subroutine psb_calloc_vect_r2(x, desc_a,info,n,lb) if (info /= 0) exit end do end if + + if (present(bldmode)) then + bldmode_ = bldmode + else + bldmode_ = psb_matbld_noremote_ + end if + if (present(dupl)) then + dupl_ = dupl + else + dupl_ = psb_dupl_def_ + end if + + do i=lb_, lb_+n_-1 + call x(i)%set_dupl(dupl_) + call x(i)%set_remote_build(bldmode_) + if (x(i)%is_remote_build()) then + nrmt_ = max(100,(desc_a%get_local_cols()-desc_a%get_local_rows())) + allocate(x(i)%rmtv(nrmt_)) + end if + end do if (psb_errstatus_fatal()) then info=psb_err_alloc_request_ call psb_errpush(info,name,i_err=(/nr/),a_err='real(psb_spk_)') @@ -224,7 +265,7 @@ subroutine psb_calloc_vect_r2(x, desc_a,info,n,lb) end subroutine psb_calloc_vect_r2 -subroutine psb_calloc_multivect(x, desc_a,info,n) +subroutine psb_calloc_multivect(x, desc_a,info,n, dupl, bldmode) use psb_base_mod, psb_protect_name => psb_calloc_multivect use psi_mod implicit none @@ -234,10 +275,12 @@ subroutine psb_calloc_multivect(x, desc_a,info,n) type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_),intent(out) :: info integer(psb_ipk_), optional, intent(in) :: n + integer(psb_ipk_), optional, intent(in) :: dupl, bldmode !locals type(psb_ctxt_type) :: ctxt integer(psb_ipk_) :: np,me,nr,i,err_act, n_, lb_ + integer(psb_ipk_) :: dupl_, bldmode_, nrmt_ integer(psb_ipk_) :: exch(1) integer(psb_ipk_) :: debug_level, debug_unit character(len=20) :: name @@ -306,6 +349,23 @@ subroutine psb_calloc_multivect(x, desc_a,info,n) call psb_errpush(info,name,i_err=(/nr/),a_err='real(psb_spk_)') goto 9999 endif + if (present(bldmode)) then + bldmode_ = bldmode + else + bldmode_ = psb_matbld_noremote_ + end if + if (present(dupl)) then + dupl_ = dupl + else + dupl_ = psb_dupl_def_ + end if + call x%set_dupl(dupl_) + call x%set_remote_build(bldmode_) + if (x%is_remote_build()) then + nrmt_ = max(100,(desc_a%get_local_cols()-desc_a%get_local_rows())) + allocate(x%rmtv(nrmt_,n_)) + end if + call psb_erractionrestore(err_act) return diff --git a/base/tools/psb_casb.f90 b/base/tools/psb_casb.f90 index 6eba0696..c3cbe509 100644 --- a/base/tools/psb_casb.f90 +++ b/base/tools/psb_casb.f90 @@ -51,7 +51,7 @@ ! scratch - logical, optional If true, allocate without checking/zeroing contents. ! default: .false. ! -subroutine psb_casb_vect(x, desc_a, info, mold, dupl,scratch) +subroutine psb_casb_vect(x, desc_a, info, mold, scratch) use psb_base_mod, psb_protect_name => psb_casb_vect implicit none @@ -59,7 +59,6 @@ subroutine psb_casb_vect(x, desc_a, info, mold, dupl,scratch) type(psb_c_vect_type), intent(inout) :: x integer(psb_ipk_), intent(out) :: info class(psb_c_base_vect_type), intent(in), optional :: mold - integer(psb_ipk_), optional, intent(in) :: dupl logical, intent(in), optional :: scratch ! local variables @@ -83,13 +82,8 @@ subroutine psb_casb_vect(x, desc_a, info, mold, dupl,scratch) scratch_ = .false. if (present(scratch)) scratch_ = scratch - if (present(dupl)) then - dupl_ = dupl - else - dupl_ = psb_dupl_ovwrt_ - endif call psb_info(ctxt, me, np) - + dupl_ = x%get_dupl() ! ....verify blacs grid correctness.. if (np == -1) then info = psb_err_context_error_ @@ -110,7 +104,7 @@ subroutine psb_casb_vect(x, desc_a, info, mold, dupl,scratch) call x%free(info) call x%bld(ncol,mold=mold) else - if (x%is_remote_build()) call psb_c_remote_vect(x,desc_a,dupl_, info) + if (x%is_remote_build()) call psb_c_remote_vect(x,desc_a,info) call x%asb(ncol,info) ! ..update halo elements.. call psb_halo(x,desc_a,info) @@ -147,7 +141,7 @@ subroutine psb_casb_vect_r2(x, desc_a, info, mold, scratch) ! local variables type(psb_ctxt_type) :: ctxt integer(psb_ipk_) :: np,me, i, n - integer(psb_ipk_) :: i1sz,nrow,ncol, err_act + integer(psb_ipk_) :: i1sz,nrow,ncol, err_act, dupl_ logical :: scratch_ integer(psb_ipk_) :: debug_level, debug_unit character(len=20) :: name,ch_err @@ -166,7 +160,6 @@ subroutine psb_casb_vect_r2(x, desc_a, info, mold, scratch) scratch_ = .false. if (present(scratch)) scratch_ = scratch call psb_info(ctxt, me, np) - ! ....verify blacs grid correctness.. if (np == -1) then info = psb_err_context_error_ @@ -192,6 +185,7 @@ subroutine psb_casb_vect_r2(x, desc_a, info, mold, scratch) else do i=1, n + dupl_ = x(i)%get_dupl() call x(i)%asb(ncol,info) if (info /= 0) exit ! ..update halo elements.. @@ -232,7 +226,7 @@ subroutine psb_casb_multivect(x, desc_a, info, mold, scratch,n) ! local variables type(psb_ctxt_type) :: ctxt integer(psb_ipk_) :: np,me - integer(psb_ipk_) :: i1sz,nrow,ncol, err_act, n_ + integer(psb_ipk_) :: i1sz,nrow,ncol, err_act, n_, dupl_ logical :: scratch_ integer(psb_ipk_) :: debug_level, debug_unit @@ -278,6 +272,7 @@ subroutine psb_casb_multivect(x, desc_a, info, mold, scratch,n) if (debug_level >= psb_debug_ext_) & & write(debug_unit,*) me,' ',trim(name),': sizes: ',nrow,ncol + dupl_ = x%get_dupl() if (scratch_) then call x%free(info) call x%bld(ncol,n_,mold=mold) diff --git a/base/tools/psb_cins.f90 b/base/tools/psb_cins.f90 index 948a596a..d3f2ea99 100644 --- a/base/tools/psb_cins.f90 +++ b/base/tools/psb_cins.f90 @@ -42,10 +42,7 @@ ! x - type(psb_c_vect_type) The destination vector ! desc_a - type(psb_desc_type). The communication descriptor. ! info - integer. return code -! dupl - integer What to do with duplicates: -! psb_dupl_ovwrt_ overwrite -! psb_dupl_add_ add -subroutine psb_cins_vect(m, irw, val, x, desc_a, info, dupl,local) +subroutine psb_cins_vect(m, irw, val, x, desc_a, info, local) use psb_base_mod, psb_protect_name => psb_cins_vect use psi_mod implicit none @@ -57,14 +54,14 @@ subroutine psb_cins_vect(m, irw, val, x, desc_a, info, dupl,local) type(psb_c_vect_type), intent(inout) :: x type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_), optional, intent(in) :: dupl logical, intent(in), optional :: local !locals..... integer(psb_ipk_) :: i, loc_rows,loc_cols integer(psb_lpk_) :: mglob + integer(psb_ipk_) :: dupl_ type(psb_ctxt_type) :: ctxt - integer(psb_ipk_) :: np, me, dupl_,err_act + integer(psb_ipk_) :: np, me, err_act integer(psb_ipk_), allocatable :: irl(:) logical :: local_ character(len=20) :: name @@ -119,11 +116,7 @@ subroutine psb_cins_vect(m, irw, val, x, desc_a, info, dupl,local) goto 9999 endif - if (present(dupl)) then - dupl_ = dupl - else - dupl_ = psb_dupl_ovwrt_ - endif + dupl_ = x%get_dupl() if (present(local)) then local_ = local else @@ -165,10 +158,7 @@ end subroutine psb_cins_vect ! x - type(psb_c_vect_type) The destination vector ! desc_a - type(psb_desc_type). The communication descriptor. ! info - integer. return code -! dupl - integer What to do with duplicates: -! psb_dupl_ovwrt_ overwrite -! psb_dupl_add_ add -subroutine psb_cins_vect_v(m, irw, val, x, desc_a, info, dupl,local) +subroutine psb_cins_vect_v(m, irw, val, x, desc_a, info, local) use psb_base_mod, psb_protect_name => psb_cins_vect_v use psi_mod implicit none @@ -184,7 +174,6 @@ subroutine psb_cins_vect_v(m, irw, val, x, desc_a, info, dupl,local) type(psb_c_vect_type), intent(inout) :: x type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_), optional, intent(in) :: dupl logical, intent(in), optional :: local !locals..... @@ -238,14 +227,7 @@ subroutine psb_cins_vect_v(m, irw, val, x, desc_a, info, dupl,local) call psb_errpush(info,name) goto 9999 endif - - - - if (present(dupl)) then - dupl_ = dupl - else - dupl_ = psb_dupl_ovwrt_ - endif + dupl_ = x%get_dupl() if (present(local)) then local_ = local else @@ -274,7 +256,7 @@ subroutine psb_cins_vect_v(m, irw, val, x, desc_a, info, dupl,local) end subroutine psb_cins_vect_v -subroutine psb_cins_vect_r2(m, irw, val, x, desc_a, info, dupl,local) +subroutine psb_cins_vect_r2(m, irw, val, x, desc_a, info, local) use psb_base_mod, psb_protect_name => psb_cins_vect_r2 use psi_mod implicit none @@ -290,14 +272,14 @@ subroutine psb_cins_vect_r2(m, irw, val, x, desc_a, info, dupl,local) type(psb_c_vect_type), intent(inout) :: x(:) type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_), optional, intent(in) :: dupl logical, intent(in), optional :: local !locals..... integer(psb_ipk_) :: i, loc_rows,loc_cols, n integer(psb_lpk_) :: mglob + integer(psb_ipk_) :: dupl_ type(psb_ctxt_type) :: ctxt - integer(psb_ipk_) :: np, me, dupl_, err_act + integer(psb_ipk_) :: np, me, err_act integer(psb_ipk_), allocatable :: irl(:) logical :: local_ character(len=20) :: name @@ -352,11 +334,6 @@ subroutine psb_cins_vect_r2(m, irw, val, x, desc_a, info, dupl,local) goto 9999 endif - if (present(dupl)) then - dupl_ = dupl - else - dupl_ = psb_dupl_ovwrt_ - endif if (present(local)) then local_ = local else @@ -370,7 +347,9 @@ subroutine psb_cins_vect_r2(m, irw, val, x, desc_a, info, dupl,local) end if do i=1,n + if (.not.allocated(x(i)%v)) info = psb_err_invalid_vect_state_ + if (info == 0) dupl_ = x(i)%get_dupl() if (info == 0) call x(i)%ins(m,irl,val(:,i),dupl_,info) if (info /= 0) exit end do @@ -389,7 +368,7 @@ subroutine psb_cins_vect_r2(m, irw, val, x, desc_a, info, dupl,local) end subroutine psb_cins_vect_r2 -subroutine psb_cins_multivect(m, irw, val, x, desc_a, info, dupl,local) +subroutine psb_cins_multivect(m, irw, val, x, desc_a, info, local) use psb_base_mod, psb_protect_name => psb_cins_multivect use psi_mod implicit none @@ -405,7 +384,6 @@ subroutine psb_cins_multivect(m, irw, val, x, desc_a, info, dupl,local) type(psb_c_multivect_type), intent(inout) :: x type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_), optional, intent(in) :: dupl logical, intent(in), optional :: local !locals..... @@ -468,11 +446,7 @@ subroutine psb_cins_multivect(m, irw, val, x, desc_a, info, dupl,local) goto 9999 endif - if (present(dupl)) then - dupl_ = dupl - else - dupl_ = psb_dupl_ovwrt_ - endif + dupl_ = x%get_dupl() if (present(local)) then local_ = local else diff --git a/base/tools/psb_cspalloc.f90 b/base/tools/psb_cspalloc.f90 index 5d5a1f34..7bec040c 100644 --- a/base/tools/psb_cspalloc.f90 +++ b/base/tools/psb_cspalloc.f90 @@ -41,20 +41,22 @@ ! nnz - integer(optional). The number of nonzeroes in the matrix. ! (local, user estimate) ! -subroutine psb_cspalloc(a, desc_a, info, nnz, bldmode) +subroutine psb_cspalloc(a, desc_a, info, nnz, dupl, bldmode) use psb_base_mod, psb_protect_name => psb_cspalloc implicit none !....parameters... - type(psb_desc_type), intent(in) :: desc_a - type(psb_cspmat_type), intent(inout) :: a - integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_), optional, intent(in) :: nnz, bldmode + type(psb_desc_type), intent(in) :: desc_a + type(psb_cspmat_type), intent(inout) :: a + integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), optional, intent(in) :: nnz + integer(psb_ipk_), optional, intent(in) :: dupl, bldmode !locals type(psb_ctxt_type) :: ctxt integer(psb_ipk_) :: np, me, err_act - integer(psb_ipk_) :: loc_row,loc_col, nnz_, dectype, bldmode_ + integer(psb_ipk_) :: loc_row,loc_col, nnz_, dectype + integer(psb_ipk_) :: dupl_, bldmode_ integer(psb_lpk_) :: m, n, nnzrmt_ integer(psb_ipk_) :: debug_level, debug_unit character(len=20) :: name @@ -96,11 +98,6 @@ subroutine psb_cspalloc(a, desc_a, info, nnz, bldmode) else nnz_ = max(1,5*loc_row) endif - if (present(bldmode)) then - bldmode_ = bldmode - else - bldmode_ = psb_matbld_noremote_ - end if if (debug_level >= psb_debug_ext_) & & write(debug_unit,*) me,' ',trim(name), & @@ -114,8 +111,17 @@ subroutine psb_cspalloc(a, desc_a, info, nnz, bldmode) goto 9999 end if -!!$ write(0,*) name,'Setting a%remote_build ',& -!!$ & bldmode_,psb_matbld_noremote_,psb_matbld_remote_ + if (present(bldmode)) then + bldmode_ = bldmode + else + bldmode_ = psb_matbld_noremote_ + end if + if (present(dupl)) then + dupl_ = dupl + else + dupl_ = psb_dupl_def_ + end if + call a%set_dupl(dupl_) call a%set_remote_build(bldmode_) if (a%is_remote_build()) then allocate(a%rmta) @@ -123,22 +129,6 @@ subroutine psb_cspalloc(a, desc_a, info, nnz, bldmode) call a%rmta%allocate(m,n,nnzrmt_) end if -!!$ a%remote_build = bldmode_ -!!$ select case(a%remote_build) -!!$ case (psb_matbld_noremote_) -!!$ ! nothing needed -!!$ !write(0,*) name,' matbld_noremote_ nothing needed' -!!$ case (psb_matbld_remote_) -!!$ !write(0,*) name,' matbld_remote_ start ' -!!$ allocate(a%rmta) -!!$ nnzrmt_ = max(100,(nnz_/100)) -!!$ call a%rmta%allocate(m,n,nnzrmt_) -!!$ -!!$ case default -!!$ write(0,*) name,'Invalid value for remote_build ' -!!$ a%remote_build = psb_matbld_noremote_ -!!$ end select - if (debug_level >= psb_debug_ext_) & & write(debug_unit,*) me,' ',trim(name),': ', & & desc_a%get_dectype(),psb_desc_bld_ diff --git a/base/tools/psb_cspasb.f90 b/base/tools/psb_cspasb.f90 index f7866eca..08f18d00 100644 --- a/base/tools/psb_cspasb.f90 +++ b/base/tools/psb_cspasb.f90 @@ -42,13 +42,9 @@ ! upd - character(optional). How will the matrix be updated? ! psb_upd_srch_ Simple strategy ! psb_upd_perm_ Permutation(more memory) -! dupl - integer(optional). Duplicate coefficient handling: -! psb_dupl_ovwrt_ overwrite -! psb_dupl_add_ add -! psb_dupl_err_ raise an error. ! ! -subroutine psb_cspasb(a,desc_a, info, afmt, upd, dupl, mold) +subroutine psb_cspasb(a,desc_a, info, afmt, upd, mold) use psb_base_mod, psb_protect_name => psb_cspasb use psb_sort_mod use psi_mod @@ -56,16 +52,16 @@ subroutine psb_cspasb(a,desc_a, info, afmt, upd, dupl, mold) !...Parameters.... - type(psb_cspmat_type), intent (inout) :: a + type(psb_cspmat_type), intent (inout) :: a type(psb_desc_type), intent(inout) :: desc_a - integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_),optional, intent(in) :: dupl, upd - character(len=*), optional, intent(in) :: afmt + integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), optional, intent(in) :: upd + character(len=*), optional, intent(in) :: afmt class(psb_c_base_sparse_mat), intent(in), optional :: mold !....Locals.... type(psb_ctxt_type) :: ctxt integer(psb_ipk_) :: np,me, err_act - integer(psb_ipk_) :: n_row,n_col + integer(psb_ipk_) :: n_row,n_col, dupl_ integer(psb_ipk_) :: debug_level, debug_unit character(len=20) :: name, ch_err class(psb_i_base_vect_type), allocatable :: ivm @@ -100,8 +96,8 @@ subroutine psb_cspasb(a,desc_a, info, afmt, upd, dupl, mold) !check on errors encountered in psdspins - - if (a%is_bld()) then + if (a%is_bld()) then + dupl_ = a%get_dupl() ! ! First case: we come from a fresh build. ! @@ -140,7 +136,7 @@ subroutine psb_cspasb(a,desc_a, info, afmt, upd, dupl, mold) end block end if call a%set_ncols(desc_a%get_local_cols()) - call a%cscnv(info,type=afmt,dupl=dupl, mold=mold) + call a%cscnv(info,type=afmt,mold=mold,dupl=dupl_) else if (a%is_upd()) then if (a%is_remote_build()) then !write(0,*) me,name,' Size of rmta:',a%rmta%get_nzeros() diff --git a/base/tools/psb_d_remote_mat.F90 b/base/tools/psb_d_remote_mat.F90 index dd5fd161..ad9beba1 100644 --- a/base/tools/psb_d_remote_mat.F90 +++ b/base/tools/psb_d_remote_mat.F90 @@ -277,7 +277,7 @@ Subroutine psb_ld_remote_mat(a,desc_a,b,info) End Subroutine psb_ld_remote_mat -subroutine psb_d_remote_vect(v,desc_a, info, dupl) +subroutine psb_d_remote_vect(v,desc_a, info) use psb_base_mod, psb_protect_name => psb_d_remote_vect #ifdef MPI_MOD @@ -291,7 +291,6 @@ subroutine psb_d_remote_vect(v,desc_a, info, dupl) type(psb_d_vect_type),Intent(inout) :: v type(psb_desc_type),intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_),optional, intent(in) :: dupl ! ...local scalars.... type(psb_ctxt_type) :: ctxt @@ -323,21 +322,12 @@ subroutine psb_d_remote_vect(v,desc_a, info, dupl) debug_unit = psb_get_debug_unit() debug_level = psb_get_debug_level() - if (present(dupl)) then - dupl_ = dupl - else - if (v%is_remote_build()) then - dupl_ = psb_dupl_add_ - else - dupl_ = psb_dupl_def_ - end if - endif - ctxt = desc_a%get_context() icomm = desc_a%get_mpic() Call psb_info(ctxt, me, np) + dupl_ = v%get_dupl() if (debug_level >= psb_debug_outer_) & & write(debug_unit,*) me,' ',trim(name),': Start' write(0,*) me, 'X_remote_vect implementation to be completed ' diff --git a/base/tools/psb_dallc.f90 b/base/tools/psb_dallc.f90 index 7989929b..24aecfe0 100644 --- a/base/tools/psb_dallc.f90 +++ b/base/tools/psb_dallc.f90 @@ -40,7 +40,7 @@ ! x - the vector to be allocated. ! desc_a - the communication descriptor. ! info - Return code -subroutine psb_dalloc_vect(x, desc_a,info) +subroutine psb_dalloc_vect(x, desc_a,info, dupl, bldmode) use psb_base_mod, psb_protect_name => psb_dalloc_vect use psi_mod implicit none @@ -49,9 +49,11 @@ subroutine psb_dalloc_vect(x, desc_a,info) type(psb_d_vect_type), intent(out) :: x type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_),intent(out) :: info + integer(psb_ipk_), optional, intent(in) :: dupl, bldmode !locals integer(psb_ipk_) :: np,me,nr,i,err_act + integer(psb_ipk_) :: dupl_, bldmode_, nrmt_ type(psb_ctxt_type) :: ctxt integer(psb_ipk_) :: debug_level, debug_unit character(len=20) :: name @@ -102,6 +104,23 @@ subroutine psb_dalloc_vect(x, desc_a,info) endif call x%zero() + if (present(bldmode)) then + bldmode_ = bldmode + else + bldmode_ = psb_matbld_noremote_ + end if + if (present(dupl)) then + dupl_ = dupl + else + dupl_ = psb_dupl_def_ + end if + call x%set_dupl(dupl_) + call x%set_remote_build(bldmode_) + if (x%is_remote_build()) then + nrmt_ = max(100,(desc_a%get_local_cols()-desc_a%get_local_rows())) + allocate(x%rmtv(nrmt_)) + end if + call psb_erractionrestore(err_act) return @@ -121,7 +140,7 @@ end subroutine psb_dalloc_vect ! n - optional number of columns. ! lb - optional lower bound on column indices -subroutine psb_dalloc_vect_r2(x, desc_a,info,n,lb) +subroutine psb_dalloc_vect_r2(x, desc_a,info,n,lb, dupl, bldmode) use psb_base_mod, psb_protect_name => psb_dalloc_vect_r2 use psi_mod implicit none @@ -131,10 +150,12 @@ subroutine psb_dalloc_vect_r2(x, desc_a,info,n,lb) type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_),intent(out) :: info integer(psb_ipk_), optional, intent(in) :: n,lb + integer(psb_ipk_), optional, intent(in) :: dupl, bldmode !locals type(psb_ctxt_type) :: ctxt integer(psb_ipk_) :: np,me,nr,i,err_act, n_, lb_ + integer(psb_ipk_) :: dupl_, bldmode_, nrmt_ integer(psb_ipk_) :: exch(1) integer(psb_ipk_) :: debug_level, debug_unit character(len=20) :: name @@ -208,6 +229,26 @@ subroutine psb_dalloc_vect_r2(x, desc_a,info,n,lb) if (info /= 0) exit end do end if + + if (present(bldmode)) then + bldmode_ = bldmode + else + bldmode_ = psb_matbld_noremote_ + end if + if (present(dupl)) then + dupl_ = dupl + else + dupl_ = psb_dupl_def_ + end if + + do i=lb_, lb_+n_-1 + call x(i)%set_dupl(dupl_) + call x(i)%set_remote_build(bldmode_) + if (x(i)%is_remote_build()) then + nrmt_ = max(100,(desc_a%get_local_cols()-desc_a%get_local_rows())) + allocate(x(i)%rmtv(nrmt_)) + end if + end do if (psb_errstatus_fatal()) then info=psb_err_alloc_request_ call psb_errpush(info,name,i_err=(/nr/),a_err='real(psb_spk_)') @@ -224,7 +265,7 @@ subroutine psb_dalloc_vect_r2(x, desc_a,info,n,lb) end subroutine psb_dalloc_vect_r2 -subroutine psb_dalloc_multivect(x, desc_a,info,n) +subroutine psb_dalloc_multivect(x, desc_a,info,n, dupl, bldmode) use psb_base_mod, psb_protect_name => psb_dalloc_multivect use psi_mod implicit none @@ -234,10 +275,12 @@ subroutine psb_dalloc_multivect(x, desc_a,info,n) type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_),intent(out) :: info integer(psb_ipk_), optional, intent(in) :: n + integer(psb_ipk_), optional, intent(in) :: dupl, bldmode !locals type(psb_ctxt_type) :: ctxt integer(psb_ipk_) :: np,me,nr,i,err_act, n_, lb_ + integer(psb_ipk_) :: dupl_, bldmode_, nrmt_ integer(psb_ipk_) :: exch(1) integer(psb_ipk_) :: debug_level, debug_unit character(len=20) :: name @@ -306,6 +349,23 @@ subroutine psb_dalloc_multivect(x, desc_a,info,n) call psb_errpush(info,name,i_err=(/nr/),a_err='real(psb_spk_)') goto 9999 endif + if (present(bldmode)) then + bldmode_ = bldmode + else + bldmode_ = psb_matbld_noremote_ + end if + if (present(dupl)) then + dupl_ = dupl + else + dupl_ = psb_dupl_def_ + end if + call x%set_dupl(dupl_) + call x%set_remote_build(bldmode_) + if (x%is_remote_build()) then + nrmt_ = max(100,(desc_a%get_local_cols()-desc_a%get_local_rows())) + allocate(x%rmtv(nrmt_,n_)) + end if + call psb_erractionrestore(err_act) return diff --git a/base/tools/psb_dasb.f90 b/base/tools/psb_dasb.f90 index 34bd345b..44edbf4b 100644 --- a/base/tools/psb_dasb.f90 +++ b/base/tools/psb_dasb.f90 @@ -51,7 +51,7 @@ ! scratch - logical, optional If true, allocate without checking/zeroing contents. ! default: .false. ! -subroutine psb_dasb_vect(x, desc_a, info, mold, dupl,scratch) +subroutine psb_dasb_vect(x, desc_a, info, mold, scratch) use psb_base_mod, psb_protect_name => psb_dasb_vect implicit none @@ -59,7 +59,6 @@ subroutine psb_dasb_vect(x, desc_a, info, mold, dupl,scratch) type(psb_d_vect_type), intent(inout) :: x integer(psb_ipk_), intent(out) :: info class(psb_d_base_vect_type), intent(in), optional :: mold - integer(psb_ipk_), optional, intent(in) :: dupl logical, intent(in), optional :: scratch ! local variables @@ -83,13 +82,8 @@ subroutine psb_dasb_vect(x, desc_a, info, mold, dupl,scratch) scratch_ = .false. if (present(scratch)) scratch_ = scratch - if (present(dupl)) then - dupl_ = dupl - else - dupl_ = psb_dupl_ovwrt_ - endif call psb_info(ctxt, me, np) - + dupl_ = x%get_dupl() ! ....verify blacs grid correctness.. if (np == -1) then info = psb_err_context_error_ @@ -110,7 +104,7 @@ subroutine psb_dasb_vect(x, desc_a, info, mold, dupl,scratch) call x%free(info) call x%bld(ncol,mold=mold) else - if (x%is_remote_build()) call psb_d_remote_vect(x,desc_a,dupl_, info) + if (x%is_remote_build()) call psb_d_remote_vect(x,desc_a,info) call x%asb(ncol,info) ! ..update halo elements.. call psb_halo(x,desc_a,info) @@ -147,7 +141,7 @@ subroutine psb_dasb_vect_r2(x, desc_a, info, mold, scratch) ! local variables type(psb_ctxt_type) :: ctxt integer(psb_ipk_) :: np,me, i, n - integer(psb_ipk_) :: i1sz,nrow,ncol, err_act + integer(psb_ipk_) :: i1sz,nrow,ncol, err_act, dupl_ logical :: scratch_ integer(psb_ipk_) :: debug_level, debug_unit character(len=20) :: name,ch_err @@ -166,7 +160,6 @@ subroutine psb_dasb_vect_r2(x, desc_a, info, mold, scratch) scratch_ = .false. if (present(scratch)) scratch_ = scratch call psb_info(ctxt, me, np) - ! ....verify blacs grid correctness.. if (np == -1) then info = psb_err_context_error_ @@ -192,6 +185,7 @@ subroutine psb_dasb_vect_r2(x, desc_a, info, mold, scratch) else do i=1, n + dupl_ = x(i)%get_dupl() call x(i)%asb(ncol,info) if (info /= 0) exit ! ..update halo elements.. @@ -232,7 +226,7 @@ subroutine psb_dasb_multivect(x, desc_a, info, mold, scratch,n) ! local variables type(psb_ctxt_type) :: ctxt integer(psb_ipk_) :: np,me - integer(psb_ipk_) :: i1sz,nrow,ncol, err_act, n_ + integer(psb_ipk_) :: i1sz,nrow,ncol, err_act, n_, dupl_ logical :: scratch_ integer(psb_ipk_) :: debug_level, debug_unit @@ -278,6 +272,7 @@ subroutine psb_dasb_multivect(x, desc_a, info, mold, scratch,n) if (debug_level >= psb_debug_ext_) & & write(debug_unit,*) me,' ',trim(name),': sizes: ',nrow,ncol + dupl_ = x%get_dupl() if (scratch_) then call x%free(info) call x%bld(ncol,n_,mold=mold) diff --git a/base/tools/psb_dins.f90 b/base/tools/psb_dins.f90 index 5aaceec1..9a37e6df 100644 --- a/base/tools/psb_dins.f90 +++ b/base/tools/psb_dins.f90 @@ -42,10 +42,7 @@ ! x - type(psb_d_vect_type) The destination vector ! desc_a - type(psb_desc_type). The communication descriptor. ! info - integer. return code -! dupl - integer What to do with duplicates: -! psb_dupl_ovwrt_ overwrite -! psb_dupl_add_ add -subroutine psb_dins_vect(m, irw, val, x, desc_a, info, dupl,local) +subroutine psb_dins_vect(m, irw, val, x, desc_a, info, local) use psb_base_mod, psb_protect_name => psb_dins_vect use psi_mod implicit none @@ -57,14 +54,14 @@ subroutine psb_dins_vect(m, irw, val, x, desc_a, info, dupl,local) type(psb_d_vect_type), intent(inout) :: x type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_), optional, intent(in) :: dupl logical, intent(in), optional :: local !locals..... integer(psb_ipk_) :: i, loc_rows,loc_cols integer(psb_lpk_) :: mglob + integer(psb_ipk_) :: dupl_ type(psb_ctxt_type) :: ctxt - integer(psb_ipk_) :: np, me, dupl_,err_act + integer(psb_ipk_) :: np, me, err_act integer(psb_ipk_), allocatable :: irl(:) logical :: local_ character(len=20) :: name @@ -119,11 +116,7 @@ subroutine psb_dins_vect(m, irw, val, x, desc_a, info, dupl,local) goto 9999 endif - if (present(dupl)) then - dupl_ = dupl - else - dupl_ = psb_dupl_ovwrt_ - endif + dupl_ = x%get_dupl() if (present(local)) then local_ = local else @@ -165,10 +158,7 @@ end subroutine psb_dins_vect ! x - type(psb_d_vect_type) The destination vector ! desc_a - type(psb_desc_type). The communication descriptor. ! info - integer. return code -! dupl - integer What to do with duplicates: -! psb_dupl_ovwrt_ overwrite -! psb_dupl_add_ add -subroutine psb_dins_vect_v(m, irw, val, x, desc_a, info, dupl,local) +subroutine psb_dins_vect_v(m, irw, val, x, desc_a, info, local) use psb_base_mod, psb_protect_name => psb_dins_vect_v use psi_mod implicit none @@ -184,7 +174,6 @@ subroutine psb_dins_vect_v(m, irw, val, x, desc_a, info, dupl,local) type(psb_d_vect_type), intent(inout) :: x type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_), optional, intent(in) :: dupl logical, intent(in), optional :: local !locals..... @@ -238,14 +227,7 @@ subroutine psb_dins_vect_v(m, irw, val, x, desc_a, info, dupl,local) call psb_errpush(info,name) goto 9999 endif - - - - if (present(dupl)) then - dupl_ = dupl - else - dupl_ = psb_dupl_ovwrt_ - endif + dupl_ = x%get_dupl() if (present(local)) then local_ = local else @@ -274,7 +256,7 @@ subroutine psb_dins_vect_v(m, irw, val, x, desc_a, info, dupl,local) end subroutine psb_dins_vect_v -subroutine psb_dins_vect_r2(m, irw, val, x, desc_a, info, dupl,local) +subroutine psb_dins_vect_r2(m, irw, val, x, desc_a, info, local) use psb_base_mod, psb_protect_name => psb_dins_vect_r2 use psi_mod implicit none @@ -290,14 +272,14 @@ subroutine psb_dins_vect_r2(m, irw, val, x, desc_a, info, dupl,local) type(psb_d_vect_type), intent(inout) :: x(:) type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_), optional, intent(in) :: dupl logical, intent(in), optional :: local !locals..... integer(psb_ipk_) :: i, loc_rows,loc_cols, n integer(psb_lpk_) :: mglob + integer(psb_ipk_) :: dupl_ type(psb_ctxt_type) :: ctxt - integer(psb_ipk_) :: np, me, dupl_, err_act + integer(psb_ipk_) :: np, me, err_act integer(psb_ipk_), allocatable :: irl(:) logical :: local_ character(len=20) :: name @@ -352,11 +334,6 @@ subroutine psb_dins_vect_r2(m, irw, val, x, desc_a, info, dupl,local) goto 9999 endif - if (present(dupl)) then - dupl_ = dupl - else - dupl_ = psb_dupl_ovwrt_ - endif if (present(local)) then local_ = local else @@ -370,7 +347,9 @@ subroutine psb_dins_vect_r2(m, irw, val, x, desc_a, info, dupl,local) end if do i=1,n + if (.not.allocated(x(i)%v)) info = psb_err_invalid_vect_state_ + if (info == 0) dupl_ = x(i)%get_dupl() if (info == 0) call x(i)%ins(m,irl,val(:,i),dupl_,info) if (info /= 0) exit end do @@ -389,7 +368,7 @@ subroutine psb_dins_vect_r2(m, irw, val, x, desc_a, info, dupl,local) end subroutine psb_dins_vect_r2 -subroutine psb_dins_multivect(m, irw, val, x, desc_a, info, dupl,local) +subroutine psb_dins_multivect(m, irw, val, x, desc_a, info, local) use psb_base_mod, psb_protect_name => psb_dins_multivect use psi_mod implicit none @@ -405,7 +384,6 @@ subroutine psb_dins_multivect(m, irw, val, x, desc_a, info, dupl,local) type(psb_d_multivect_type), intent(inout) :: x type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_), optional, intent(in) :: dupl logical, intent(in), optional :: local !locals..... @@ -468,11 +446,7 @@ subroutine psb_dins_multivect(m, irw, val, x, desc_a, info, dupl,local) goto 9999 endif - if (present(dupl)) then - dupl_ = dupl - else - dupl_ = psb_dupl_ovwrt_ - endif + dupl_ = x%get_dupl() if (present(local)) then local_ = local else diff --git a/base/tools/psb_dspalloc.f90 b/base/tools/psb_dspalloc.f90 index 31381bca..433d7129 100644 --- a/base/tools/psb_dspalloc.f90 +++ b/base/tools/psb_dspalloc.f90 @@ -41,20 +41,22 @@ ! nnz - integer(optional). The number of nonzeroes in the matrix. ! (local, user estimate) ! -subroutine psb_dspalloc(a, desc_a, info, nnz, bldmode) +subroutine psb_dspalloc(a, desc_a, info, nnz, dupl, bldmode) use psb_base_mod, psb_protect_name => psb_dspalloc implicit none !....parameters... - type(psb_desc_type), intent(in) :: desc_a - type(psb_dspmat_type), intent(inout) :: a - integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_), optional, intent(in) :: nnz, bldmode + type(psb_desc_type), intent(in) :: desc_a + type(psb_dspmat_type), intent(inout) :: a + integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), optional, intent(in) :: nnz + integer(psb_ipk_), optional, intent(in) :: dupl, bldmode !locals type(psb_ctxt_type) :: ctxt integer(psb_ipk_) :: np, me, err_act - integer(psb_ipk_) :: loc_row,loc_col, nnz_, dectype, bldmode_ + integer(psb_ipk_) :: loc_row,loc_col, nnz_, dectype + integer(psb_ipk_) :: dupl_, bldmode_ integer(psb_lpk_) :: m, n, nnzrmt_ integer(psb_ipk_) :: debug_level, debug_unit character(len=20) :: name @@ -96,11 +98,6 @@ subroutine psb_dspalloc(a, desc_a, info, nnz, bldmode) else nnz_ = max(1,5*loc_row) endif - if (present(bldmode)) then - bldmode_ = bldmode - else - bldmode_ = psb_matbld_noremote_ - end if if (debug_level >= psb_debug_ext_) & & write(debug_unit,*) me,' ',trim(name), & @@ -114,8 +111,17 @@ subroutine psb_dspalloc(a, desc_a, info, nnz, bldmode) goto 9999 end if -!!$ write(0,*) name,'Setting a%remote_build ',& -!!$ & bldmode_,psb_matbld_noremote_,psb_matbld_remote_ + if (present(bldmode)) then + bldmode_ = bldmode + else + bldmode_ = psb_matbld_noremote_ + end if + if (present(dupl)) then + dupl_ = dupl + else + dupl_ = psb_dupl_def_ + end if + call a%set_dupl(dupl_) call a%set_remote_build(bldmode_) if (a%is_remote_build()) then allocate(a%rmta) @@ -123,22 +129,6 @@ subroutine psb_dspalloc(a, desc_a, info, nnz, bldmode) call a%rmta%allocate(m,n,nnzrmt_) end if -!!$ a%remote_build = bldmode_ -!!$ select case(a%remote_build) -!!$ case (psb_matbld_noremote_) -!!$ ! nothing needed -!!$ !write(0,*) name,' matbld_noremote_ nothing needed' -!!$ case (psb_matbld_remote_) -!!$ !write(0,*) name,' matbld_remote_ start ' -!!$ allocate(a%rmta) -!!$ nnzrmt_ = max(100,(nnz_/100)) -!!$ call a%rmta%allocate(m,n,nnzrmt_) -!!$ -!!$ case default -!!$ write(0,*) name,'Invalid value for remote_build ' -!!$ a%remote_build = psb_matbld_noremote_ -!!$ end select - if (debug_level >= psb_debug_ext_) & & write(debug_unit,*) me,' ',trim(name),': ', & & desc_a%get_dectype(),psb_desc_bld_ diff --git a/base/tools/psb_dspasb.f90 b/base/tools/psb_dspasb.f90 index 2d855472..f6497aef 100644 --- a/base/tools/psb_dspasb.f90 +++ b/base/tools/psb_dspasb.f90 @@ -42,13 +42,9 @@ ! upd - character(optional). How will the matrix be updated? ! psb_upd_srch_ Simple strategy ! psb_upd_perm_ Permutation(more memory) -! dupl - integer(optional). Duplicate coefficient handling: -! psb_dupl_ovwrt_ overwrite -! psb_dupl_add_ add -! psb_dupl_err_ raise an error. ! ! -subroutine psb_dspasb(a,desc_a, info, afmt, upd, dupl, mold) +subroutine psb_dspasb(a,desc_a, info, afmt, upd, mold) use psb_base_mod, psb_protect_name => psb_dspasb use psb_sort_mod use psi_mod @@ -56,16 +52,16 @@ subroutine psb_dspasb(a,desc_a, info, afmt, upd, dupl, mold) !...Parameters.... - type(psb_dspmat_type), intent (inout) :: a + type(psb_dspmat_type), intent (inout) :: a type(psb_desc_type), intent(inout) :: desc_a - integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_),optional, intent(in) :: dupl, upd - character(len=*), optional, intent(in) :: afmt + integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), optional, intent(in) :: upd + character(len=*), optional, intent(in) :: afmt class(psb_d_base_sparse_mat), intent(in), optional :: mold !....Locals.... type(psb_ctxt_type) :: ctxt integer(psb_ipk_) :: np,me, err_act - integer(psb_ipk_) :: n_row,n_col + integer(psb_ipk_) :: n_row,n_col, dupl_ integer(psb_ipk_) :: debug_level, debug_unit character(len=20) :: name, ch_err class(psb_i_base_vect_type), allocatable :: ivm @@ -100,8 +96,8 @@ subroutine psb_dspasb(a,desc_a, info, afmt, upd, dupl, mold) !check on errors encountered in psdspins - - if (a%is_bld()) then + if (a%is_bld()) then + dupl_ = a%get_dupl() ! ! First case: we come from a fresh build. ! @@ -140,7 +136,7 @@ subroutine psb_dspasb(a,desc_a, info, afmt, upd, dupl, mold) end block end if call a%set_ncols(desc_a%get_local_cols()) - call a%cscnv(info,type=afmt,dupl=dupl, mold=mold) + call a%cscnv(info,type=afmt,mold=mold,dupl=dupl_) else if (a%is_upd()) then if (a%is_remote_build()) then !write(0,*) me,name,' Size of rmta:',a%rmta%get_nzeros() diff --git a/base/tools/psb_iallc.f90 b/base/tools/psb_iallc.f90 index ac4ee840..5d192706 100644 --- a/base/tools/psb_iallc.f90 +++ b/base/tools/psb_iallc.f90 @@ -40,7 +40,7 @@ ! x - the vector to be allocated. ! desc_a - the communication descriptor. ! info - Return code -subroutine psb_ialloc_vect(x, desc_a,info) +subroutine psb_ialloc_vect(x, desc_a,info, dupl, bldmode) use psb_base_mod, psb_protect_name => psb_ialloc_vect use psi_mod implicit none @@ -49,9 +49,11 @@ subroutine psb_ialloc_vect(x, desc_a,info) type(psb_i_vect_type), intent(out) :: x type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_),intent(out) :: info + integer(psb_ipk_), optional, intent(in) :: dupl, bldmode !locals integer(psb_ipk_) :: np,me,nr,i,err_act + integer(psb_ipk_) :: dupl_, bldmode_, nrmt_ type(psb_ctxt_type) :: ctxt integer(psb_ipk_) :: debug_level, debug_unit character(len=20) :: name @@ -102,6 +104,23 @@ subroutine psb_ialloc_vect(x, desc_a,info) endif call x%zero() + if (present(bldmode)) then + bldmode_ = bldmode + else + bldmode_ = psb_matbld_noremote_ + end if + if (present(dupl)) then + dupl_ = dupl + else + dupl_ = psb_dupl_def_ + end if + call x%set_dupl(dupl_) + call x%set_remote_build(bldmode_) + if (x%is_remote_build()) then + nrmt_ = max(100,(desc_a%get_local_cols()-desc_a%get_local_rows())) + allocate(x%rmtv(nrmt_)) + end if + call psb_erractionrestore(err_act) return @@ -121,7 +140,7 @@ end subroutine psb_ialloc_vect ! n - optional number of columns. ! lb - optional lower bound on column indices -subroutine psb_ialloc_vect_r2(x, desc_a,info,n,lb) +subroutine psb_ialloc_vect_r2(x, desc_a,info,n,lb, dupl, bldmode) use psb_base_mod, psb_protect_name => psb_ialloc_vect_r2 use psi_mod implicit none @@ -131,10 +150,12 @@ subroutine psb_ialloc_vect_r2(x, desc_a,info,n,lb) type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_),intent(out) :: info integer(psb_ipk_), optional, intent(in) :: n,lb + integer(psb_ipk_), optional, intent(in) :: dupl, bldmode !locals type(psb_ctxt_type) :: ctxt integer(psb_ipk_) :: np,me,nr,i,err_act, n_, lb_ + integer(psb_ipk_) :: dupl_, bldmode_, nrmt_ integer(psb_ipk_) :: exch(1) integer(psb_ipk_) :: debug_level, debug_unit character(len=20) :: name @@ -208,6 +229,26 @@ subroutine psb_ialloc_vect_r2(x, desc_a,info,n,lb) if (info /= 0) exit end do end if + + if (present(bldmode)) then + bldmode_ = bldmode + else + bldmode_ = psb_matbld_noremote_ + end if + if (present(dupl)) then + dupl_ = dupl + else + dupl_ = psb_dupl_def_ + end if + + do i=lb_, lb_+n_-1 + call x(i)%set_dupl(dupl_) + call x(i)%set_remote_build(bldmode_) + if (x(i)%is_remote_build()) then + nrmt_ = max(100,(desc_a%get_local_cols()-desc_a%get_local_rows())) + allocate(x(i)%rmtv(nrmt_)) + end if + end do if (psb_errstatus_fatal()) then info=psb_err_alloc_request_ call psb_errpush(info,name,i_err=(/nr/),a_err='real(psb_spk_)') @@ -224,7 +265,7 @@ subroutine psb_ialloc_vect_r2(x, desc_a,info,n,lb) end subroutine psb_ialloc_vect_r2 -subroutine psb_ialloc_multivect(x, desc_a,info,n) +subroutine psb_ialloc_multivect(x, desc_a,info,n, dupl, bldmode) use psb_base_mod, psb_protect_name => psb_ialloc_multivect use psi_mod implicit none @@ -234,10 +275,12 @@ subroutine psb_ialloc_multivect(x, desc_a,info,n) type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_),intent(out) :: info integer(psb_ipk_), optional, intent(in) :: n + integer(psb_ipk_), optional, intent(in) :: dupl, bldmode !locals type(psb_ctxt_type) :: ctxt integer(psb_ipk_) :: np,me,nr,i,err_act, n_, lb_ + integer(psb_ipk_) :: dupl_, bldmode_, nrmt_ integer(psb_ipk_) :: exch(1) integer(psb_ipk_) :: debug_level, debug_unit character(len=20) :: name @@ -306,6 +349,23 @@ subroutine psb_ialloc_multivect(x, desc_a,info,n) call psb_errpush(info,name,i_err=(/nr/),a_err='real(psb_spk_)') goto 9999 endif + if (present(bldmode)) then + bldmode_ = bldmode + else + bldmode_ = psb_matbld_noremote_ + end if + if (present(dupl)) then + dupl_ = dupl + else + dupl_ = psb_dupl_def_ + end if + call x%set_dupl(dupl_) + call x%set_remote_build(bldmode_) + if (x%is_remote_build()) then + nrmt_ = max(100,(desc_a%get_local_cols()-desc_a%get_local_rows())) + allocate(x%rmtv(nrmt_,n_)) + end if + call psb_erractionrestore(err_act) return diff --git a/base/tools/psb_iasb.f90 b/base/tools/psb_iasb.f90 index 8c3db6d6..a9244e96 100644 --- a/base/tools/psb_iasb.f90 +++ b/base/tools/psb_iasb.f90 @@ -51,7 +51,7 @@ ! scratch - logical, optional If true, allocate without checking/zeroing contents. ! default: .false. ! -subroutine psb_iasb_vect(x, desc_a, info, mold, dupl,scratch) +subroutine psb_iasb_vect(x, desc_a, info, mold, scratch) use psb_base_mod, psb_protect_name => psb_iasb_vect implicit none @@ -59,7 +59,6 @@ subroutine psb_iasb_vect(x, desc_a, info, mold, dupl,scratch) type(psb_i_vect_type), intent(inout) :: x integer(psb_ipk_), intent(out) :: info class(psb_i_base_vect_type), intent(in), optional :: mold - integer(psb_ipk_), optional, intent(in) :: dupl logical, intent(in), optional :: scratch ! local variables @@ -83,13 +82,8 @@ subroutine psb_iasb_vect(x, desc_a, info, mold, dupl,scratch) scratch_ = .false. if (present(scratch)) scratch_ = scratch - if (present(dupl)) then - dupl_ = dupl - else - dupl_ = psb_dupl_ovwrt_ - endif call psb_info(ctxt, me, np) - + dupl_ = x%get_dupl() ! ....verify blacs grid correctness.. if (np == -1) then info = psb_err_context_error_ @@ -110,7 +104,7 @@ subroutine psb_iasb_vect(x, desc_a, info, mold, dupl,scratch) call x%free(info) call x%bld(ncol,mold=mold) else - if (x%is_remote_build()) call psb_i_remote_vect(x,desc_a,dupl_, info) + if (x%is_remote_build()) call psb_i_remote_vect(x,desc_a,info) call x%asb(ncol,info) ! ..update halo elements.. call psb_halo(x,desc_a,info) @@ -147,7 +141,7 @@ subroutine psb_iasb_vect_r2(x, desc_a, info, mold, scratch) ! local variables type(psb_ctxt_type) :: ctxt integer(psb_ipk_) :: np,me, i, n - integer(psb_ipk_) :: i1sz,nrow,ncol, err_act + integer(psb_ipk_) :: i1sz,nrow,ncol, err_act, dupl_ logical :: scratch_ integer(psb_ipk_) :: debug_level, debug_unit character(len=20) :: name,ch_err @@ -166,7 +160,6 @@ subroutine psb_iasb_vect_r2(x, desc_a, info, mold, scratch) scratch_ = .false. if (present(scratch)) scratch_ = scratch call psb_info(ctxt, me, np) - ! ....verify blacs grid correctness.. if (np == -1) then info = psb_err_context_error_ @@ -192,6 +185,7 @@ subroutine psb_iasb_vect_r2(x, desc_a, info, mold, scratch) else do i=1, n + dupl_ = x(i)%get_dupl() call x(i)%asb(ncol,info) if (info /= 0) exit ! ..update halo elements.. @@ -232,7 +226,7 @@ subroutine psb_iasb_multivect(x, desc_a, info, mold, scratch,n) ! local variables type(psb_ctxt_type) :: ctxt integer(psb_ipk_) :: np,me - integer(psb_ipk_) :: i1sz,nrow,ncol, err_act, n_ + integer(psb_ipk_) :: i1sz,nrow,ncol, err_act, n_, dupl_ logical :: scratch_ integer(psb_ipk_) :: debug_level, debug_unit @@ -278,6 +272,7 @@ subroutine psb_iasb_multivect(x, desc_a, info, mold, scratch,n) if (debug_level >= psb_debug_ext_) & & write(debug_unit,*) me,' ',trim(name),': sizes: ',nrow,ncol + dupl_ = x%get_dupl() if (scratch_) then call x%free(info) call x%bld(ncol,n_,mold=mold) diff --git a/base/tools/psb_iins.f90 b/base/tools/psb_iins.f90 index 3f72494e..92257905 100644 --- a/base/tools/psb_iins.f90 +++ b/base/tools/psb_iins.f90 @@ -42,10 +42,7 @@ ! x - type(psb_i_vect_type) The destination vector ! desc_a - type(psb_desc_type). The communication descriptor. ! info - integer. return code -! dupl - integer What to do with duplicates: -! psb_dupl_ovwrt_ overwrite -! psb_dupl_add_ add -subroutine psb_iins_vect(m, irw, val, x, desc_a, info, dupl,local) +subroutine psb_iins_vect(m, irw, val, x, desc_a, info, local) use psb_base_mod, psb_protect_name => psb_iins_vect use psi_mod implicit none @@ -57,14 +54,14 @@ subroutine psb_iins_vect(m, irw, val, x, desc_a, info, dupl,local) type(psb_i_vect_type), intent(inout) :: x type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_), optional, intent(in) :: dupl logical, intent(in), optional :: local !locals..... integer(psb_ipk_) :: i, loc_rows,loc_cols integer(psb_lpk_) :: mglob + integer(psb_ipk_) :: dupl_ type(psb_ctxt_type) :: ctxt - integer(psb_ipk_) :: np, me, dupl_,err_act + integer(psb_ipk_) :: np, me, err_act integer(psb_ipk_), allocatable :: irl(:) logical :: local_ character(len=20) :: name @@ -119,11 +116,7 @@ subroutine psb_iins_vect(m, irw, val, x, desc_a, info, dupl,local) goto 9999 endif - if (present(dupl)) then - dupl_ = dupl - else - dupl_ = psb_dupl_ovwrt_ - endif + dupl_ = x%get_dupl() if (present(local)) then local_ = local else @@ -165,10 +158,7 @@ end subroutine psb_iins_vect ! x - type(psb_i_vect_type) The destination vector ! desc_a - type(psb_desc_type). The communication descriptor. ! info - integer. return code -! dupl - integer What to do with duplicates: -! psb_dupl_ovwrt_ overwrite -! psb_dupl_add_ add -subroutine psb_iins_vect_v(m, irw, val, x, desc_a, info, dupl,local) +subroutine psb_iins_vect_v(m, irw, val, x, desc_a, info, local) use psb_base_mod, psb_protect_name => psb_iins_vect_v use psi_mod implicit none @@ -184,7 +174,6 @@ subroutine psb_iins_vect_v(m, irw, val, x, desc_a, info, dupl,local) type(psb_i_vect_type), intent(inout) :: x type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_), optional, intent(in) :: dupl logical, intent(in), optional :: local !locals..... @@ -238,14 +227,7 @@ subroutine psb_iins_vect_v(m, irw, val, x, desc_a, info, dupl,local) call psb_errpush(info,name) goto 9999 endif - - - - if (present(dupl)) then - dupl_ = dupl - else - dupl_ = psb_dupl_ovwrt_ - endif + dupl_ = x%get_dupl() if (present(local)) then local_ = local else @@ -274,7 +256,7 @@ subroutine psb_iins_vect_v(m, irw, val, x, desc_a, info, dupl,local) end subroutine psb_iins_vect_v -subroutine psb_iins_vect_r2(m, irw, val, x, desc_a, info, dupl,local) +subroutine psb_iins_vect_r2(m, irw, val, x, desc_a, info, local) use psb_base_mod, psb_protect_name => psb_iins_vect_r2 use psi_mod implicit none @@ -290,14 +272,14 @@ subroutine psb_iins_vect_r2(m, irw, val, x, desc_a, info, dupl,local) type(psb_i_vect_type), intent(inout) :: x(:) type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_), optional, intent(in) :: dupl logical, intent(in), optional :: local !locals..... integer(psb_ipk_) :: i, loc_rows,loc_cols, n integer(psb_lpk_) :: mglob + integer(psb_ipk_) :: dupl_ type(psb_ctxt_type) :: ctxt - integer(psb_ipk_) :: np, me, dupl_, err_act + integer(psb_ipk_) :: np, me, err_act integer(psb_ipk_), allocatable :: irl(:) logical :: local_ character(len=20) :: name @@ -352,11 +334,6 @@ subroutine psb_iins_vect_r2(m, irw, val, x, desc_a, info, dupl,local) goto 9999 endif - if (present(dupl)) then - dupl_ = dupl - else - dupl_ = psb_dupl_ovwrt_ - endif if (present(local)) then local_ = local else @@ -370,7 +347,9 @@ subroutine psb_iins_vect_r2(m, irw, val, x, desc_a, info, dupl,local) end if do i=1,n + if (.not.allocated(x(i)%v)) info = psb_err_invalid_vect_state_ + if (info == 0) dupl_ = x(i)%get_dupl() if (info == 0) call x(i)%ins(m,irl,val(:,i),dupl_,info) if (info /= 0) exit end do @@ -389,7 +368,7 @@ subroutine psb_iins_vect_r2(m, irw, val, x, desc_a, info, dupl,local) end subroutine psb_iins_vect_r2 -subroutine psb_iins_multivect(m, irw, val, x, desc_a, info, dupl,local) +subroutine psb_iins_multivect(m, irw, val, x, desc_a, info, local) use psb_base_mod, psb_protect_name => psb_iins_multivect use psi_mod implicit none @@ -405,7 +384,6 @@ subroutine psb_iins_multivect(m, irw, val, x, desc_a, info, dupl,local) type(psb_i_multivect_type), intent(inout) :: x type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_), optional, intent(in) :: dupl logical, intent(in), optional :: local !locals..... @@ -468,11 +446,7 @@ subroutine psb_iins_multivect(m, irw, val, x, desc_a, info, dupl,local) goto 9999 endif - if (present(dupl)) then - dupl_ = dupl - else - dupl_ = psb_dupl_ovwrt_ - endif + dupl_ = x%get_dupl() if (present(local)) then local_ = local else diff --git a/base/tools/psb_lallc.f90 b/base/tools/psb_lallc.f90 index 85fd67e7..47ba201b 100644 --- a/base/tools/psb_lallc.f90 +++ b/base/tools/psb_lallc.f90 @@ -40,7 +40,7 @@ ! x - the vector to be allocated. ! desc_a - the communication descriptor. ! info - Return code -subroutine psb_lalloc_vect(x, desc_a,info) +subroutine psb_lalloc_vect(x, desc_a,info, dupl, bldmode) use psb_base_mod, psb_protect_name => psb_lalloc_vect use psi_mod implicit none @@ -49,9 +49,11 @@ subroutine psb_lalloc_vect(x, desc_a,info) type(psb_l_vect_type), intent(out) :: x type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_),intent(out) :: info + integer(psb_ipk_), optional, intent(in) :: dupl, bldmode !locals integer(psb_ipk_) :: np,me,nr,i,err_act + integer(psb_ipk_) :: dupl_, bldmode_, nrmt_ type(psb_ctxt_type) :: ctxt integer(psb_ipk_) :: debug_level, debug_unit character(len=20) :: name @@ -102,6 +104,23 @@ subroutine psb_lalloc_vect(x, desc_a,info) endif call x%zero() + if (present(bldmode)) then + bldmode_ = bldmode + else + bldmode_ = psb_matbld_noremote_ + end if + if (present(dupl)) then + dupl_ = dupl + else + dupl_ = psb_dupl_def_ + end if + call x%set_dupl(dupl_) + call x%set_remote_build(bldmode_) + if (x%is_remote_build()) then + nrmt_ = max(100,(desc_a%get_local_cols()-desc_a%get_local_rows())) + allocate(x%rmtv(nrmt_)) + end if + call psb_erractionrestore(err_act) return @@ -121,7 +140,7 @@ end subroutine psb_lalloc_vect ! n - optional number of columns. ! lb - optional lower bound on column indices -subroutine psb_lalloc_vect_r2(x, desc_a,info,n,lb) +subroutine psb_lalloc_vect_r2(x, desc_a,info,n,lb, dupl, bldmode) use psb_base_mod, psb_protect_name => psb_lalloc_vect_r2 use psi_mod implicit none @@ -131,10 +150,12 @@ subroutine psb_lalloc_vect_r2(x, desc_a,info,n,lb) type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_),intent(out) :: info integer(psb_ipk_), optional, intent(in) :: n,lb + integer(psb_ipk_), optional, intent(in) :: dupl, bldmode !locals type(psb_ctxt_type) :: ctxt integer(psb_ipk_) :: np,me,nr,i,err_act, n_, lb_ + integer(psb_ipk_) :: dupl_, bldmode_, nrmt_ integer(psb_ipk_) :: exch(1) integer(psb_ipk_) :: debug_level, debug_unit character(len=20) :: name @@ -208,6 +229,26 @@ subroutine psb_lalloc_vect_r2(x, desc_a,info,n,lb) if (info /= 0) exit end do end if + + if (present(bldmode)) then + bldmode_ = bldmode + else + bldmode_ = psb_matbld_noremote_ + end if + if (present(dupl)) then + dupl_ = dupl + else + dupl_ = psb_dupl_def_ + end if + + do i=lb_, lb_+n_-1 + call x(i)%set_dupl(dupl_) + call x(i)%set_remote_build(bldmode_) + if (x(i)%is_remote_build()) then + nrmt_ = max(100,(desc_a%get_local_cols()-desc_a%get_local_rows())) + allocate(x(i)%rmtv(nrmt_)) + end if + end do if (psb_errstatus_fatal()) then info=psb_err_alloc_request_ call psb_errpush(info,name,i_err=(/nr/),a_err='real(psb_spk_)') @@ -224,7 +265,7 @@ subroutine psb_lalloc_vect_r2(x, desc_a,info,n,lb) end subroutine psb_lalloc_vect_r2 -subroutine psb_lalloc_multivect(x, desc_a,info,n) +subroutine psb_lalloc_multivect(x, desc_a,info,n, dupl, bldmode) use psb_base_mod, psb_protect_name => psb_lalloc_multivect use psi_mod implicit none @@ -234,10 +275,12 @@ subroutine psb_lalloc_multivect(x, desc_a,info,n) type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_),intent(out) :: info integer(psb_ipk_), optional, intent(in) :: n + integer(psb_ipk_), optional, intent(in) :: dupl, bldmode !locals type(psb_ctxt_type) :: ctxt integer(psb_ipk_) :: np,me,nr,i,err_act, n_, lb_ + integer(psb_ipk_) :: dupl_, bldmode_, nrmt_ integer(psb_ipk_) :: exch(1) integer(psb_ipk_) :: debug_level, debug_unit character(len=20) :: name @@ -306,6 +349,23 @@ subroutine psb_lalloc_multivect(x, desc_a,info,n) call psb_errpush(info,name,i_err=(/nr/),a_err='real(psb_spk_)') goto 9999 endif + if (present(bldmode)) then + bldmode_ = bldmode + else + bldmode_ = psb_matbld_noremote_ + end if + if (present(dupl)) then + dupl_ = dupl + else + dupl_ = psb_dupl_def_ + end if + call x%set_dupl(dupl_) + call x%set_remote_build(bldmode_) + if (x%is_remote_build()) then + nrmt_ = max(100,(desc_a%get_local_cols()-desc_a%get_local_rows())) + allocate(x%rmtv(nrmt_,n_)) + end if + call psb_erractionrestore(err_act) return diff --git a/base/tools/psb_lasb.f90 b/base/tools/psb_lasb.f90 index 529dbe44..b7bfb66c 100644 --- a/base/tools/psb_lasb.f90 +++ b/base/tools/psb_lasb.f90 @@ -51,7 +51,7 @@ ! scratch - logical, optional If true, allocate without checking/zeroing contents. ! default: .false. ! -subroutine psb_lasb_vect(x, desc_a, info, mold, dupl,scratch) +subroutine psb_lasb_vect(x, desc_a, info, mold, scratch) use psb_base_mod, psb_protect_name => psb_lasb_vect implicit none @@ -59,7 +59,6 @@ subroutine psb_lasb_vect(x, desc_a, info, mold, dupl,scratch) type(psb_l_vect_type), intent(inout) :: x integer(psb_ipk_), intent(out) :: info class(psb_l_base_vect_type), intent(in), optional :: mold - integer(psb_ipk_), optional, intent(in) :: dupl logical, intent(in), optional :: scratch ! local variables @@ -83,13 +82,8 @@ subroutine psb_lasb_vect(x, desc_a, info, mold, dupl,scratch) scratch_ = .false. if (present(scratch)) scratch_ = scratch - if (present(dupl)) then - dupl_ = dupl - else - dupl_ = psb_dupl_ovwrt_ - endif call psb_info(ctxt, me, np) - + dupl_ = x%get_dupl() ! ....verify blacs grid correctness.. if (np == -1) then info = psb_err_context_error_ @@ -110,7 +104,7 @@ subroutine psb_lasb_vect(x, desc_a, info, mold, dupl,scratch) call x%free(info) call x%bld(ncol,mold=mold) else - if (x%is_remote_build()) call psb_l_remote_vect(x,desc_a,dupl_, info) + if (x%is_remote_build()) call psb_l_remote_vect(x,desc_a,info) call x%asb(ncol,info) ! ..update halo elements.. call psb_halo(x,desc_a,info) @@ -147,7 +141,7 @@ subroutine psb_lasb_vect_r2(x, desc_a, info, mold, scratch) ! local variables type(psb_ctxt_type) :: ctxt integer(psb_ipk_) :: np,me, i, n - integer(psb_ipk_) :: i1sz,nrow,ncol, err_act + integer(psb_ipk_) :: i1sz,nrow,ncol, err_act, dupl_ logical :: scratch_ integer(psb_ipk_) :: debug_level, debug_unit character(len=20) :: name,ch_err @@ -166,7 +160,6 @@ subroutine psb_lasb_vect_r2(x, desc_a, info, mold, scratch) scratch_ = .false. if (present(scratch)) scratch_ = scratch call psb_info(ctxt, me, np) - ! ....verify blacs grid correctness.. if (np == -1) then info = psb_err_context_error_ @@ -192,6 +185,7 @@ subroutine psb_lasb_vect_r2(x, desc_a, info, mold, scratch) else do i=1, n + dupl_ = x(i)%get_dupl() call x(i)%asb(ncol,info) if (info /= 0) exit ! ..update halo elements.. @@ -232,7 +226,7 @@ subroutine psb_lasb_multivect(x, desc_a, info, mold, scratch,n) ! local variables type(psb_ctxt_type) :: ctxt integer(psb_ipk_) :: np,me - integer(psb_ipk_) :: i1sz,nrow,ncol, err_act, n_ + integer(psb_ipk_) :: i1sz,nrow,ncol, err_act, n_, dupl_ logical :: scratch_ integer(psb_ipk_) :: debug_level, debug_unit @@ -278,6 +272,7 @@ subroutine psb_lasb_multivect(x, desc_a, info, mold, scratch,n) if (debug_level >= psb_debug_ext_) & & write(debug_unit,*) me,' ',trim(name),': sizes: ',nrow,ncol + dupl_ = x%get_dupl() if (scratch_) then call x%free(info) call x%bld(ncol,n_,mold=mold) diff --git a/base/tools/psb_lins.f90 b/base/tools/psb_lins.f90 index 27478f0a..224b6f8e 100644 --- a/base/tools/psb_lins.f90 +++ b/base/tools/psb_lins.f90 @@ -42,10 +42,7 @@ ! x - type(psb_l_vect_type) The destination vector ! desc_a - type(psb_desc_type). The communication descriptor. ! info - integer. return code -! dupl - integer What to do with duplicates: -! psb_dupl_ovwrt_ overwrite -! psb_dupl_add_ add -subroutine psb_lins_vect(m, irw, val, x, desc_a, info, dupl,local) +subroutine psb_lins_vect(m, irw, val, x, desc_a, info, local) use psb_base_mod, psb_protect_name => psb_lins_vect use psi_mod implicit none @@ -57,14 +54,14 @@ subroutine psb_lins_vect(m, irw, val, x, desc_a, info, dupl,local) type(psb_l_vect_type), intent(inout) :: x type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_), optional, intent(in) :: dupl logical, intent(in), optional :: local !locals..... integer(psb_ipk_) :: i, loc_rows,loc_cols integer(psb_lpk_) :: mglob + integer(psb_ipk_) :: dupl_ type(psb_ctxt_type) :: ctxt - integer(psb_ipk_) :: np, me, dupl_,err_act + integer(psb_ipk_) :: np, me, err_act integer(psb_ipk_), allocatable :: irl(:) logical :: local_ character(len=20) :: name @@ -119,11 +116,7 @@ subroutine psb_lins_vect(m, irw, val, x, desc_a, info, dupl,local) goto 9999 endif - if (present(dupl)) then - dupl_ = dupl - else - dupl_ = psb_dupl_ovwrt_ - endif + dupl_ = x%get_dupl() if (present(local)) then local_ = local else @@ -165,10 +158,7 @@ end subroutine psb_lins_vect ! x - type(psb_l_vect_type) The destination vector ! desc_a - type(psb_desc_type). The communication descriptor. ! info - integer. return code -! dupl - integer What to do with duplicates: -! psb_dupl_ovwrt_ overwrite -! psb_dupl_add_ add -subroutine psb_lins_vect_v(m, irw, val, x, desc_a, info, dupl,local) +subroutine psb_lins_vect_v(m, irw, val, x, desc_a, info, local) use psb_base_mod, psb_protect_name => psb_lins_vect_v use psi_mod implicit none @@ -184,7 +174,6 @@ subroutine psb_lins_vect_v(m, irw, val, x, desc_a, info, dupl,local) type(psb_l_vect_type), intent(inout) :: x type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_), optional, intent(in) :: dupl logical, intent(in), optional :: local !locals..... @@ -238,14 +227,7 @@ subroutine psb_lins_vect_v(m, irw, val, x, desc_a, info, dupl,local) call psb_errpush(info,name) goto 9999 endif - - - - if (present(dupl)) then - dupl_ = dupl - else - dupl_ = psb_dupl_ovwrt_ - endif + dupl_ = x%get_dupl() if (present(local)) then local_ = local else @@ -274,7 +256,7 @@ subroutine psb_lins_vect_v(m, irw, val, x, desc_a, info, dupl,local) end subroutine psb_lins_vect_v -subroutine psb_lins_vect_r2(m, irw, val, x, desc_a, info, dupl,local) +subroutine psb_lins_vect_r2(m, irw, val, x, desc_a, info, local) use psb_base_mod, psb_protect_name => psb_lins_vect_r2 use psi_mod implicit none @@ -290,14 +272,14 @@ subroutine psb_lins_vect_r2(m, irw, val, x, desc_a, info, dupl,local) type(psb_l_vect_type), intent(inout) :: x(:) type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_), optional, intent(in) :: dupl logical, intent(in), optional :: local !locals..... integer(psb_ipk_) :: i, loc_rows,loc_cols, n integer(psb_lpk_) :: mglob + integer(psb_ipk_) :: dupl_ type(psb_ctxt_type) :: ctxt - integer(psb_ipk_) :: np, me, dupl_, err_act + integer(psb_ipk_) :: np, me, err_act integer(psb_ipk_), allocatable :: irl(:) logical :: local_ character(len=20) :: name @@ -352,11 +334,6 @@ subroutine psb_lins_vect_r2(m, irw, val, x, desc_a, info, dupl,local) goto 9999 endif - if (present(dupl)) then - dupl_ = dupl - else - dupl_ = psb_dupl_ovwrt_ - endif if (present(local)) then local_ = local else @@ -370,7 +347,9 @@ subroutine psb_lins_vect_r2(m, irw, val, x, desc_a, info, dupl,local) end if do i=1,n + if (.not.allocated(x(i)%v)) info = psb_err_invalid_vect_state_ + if (info == 0) dupl_ = x(i)%get_dupl() if (info == 0) call x(i)%ins(m,irl,val(:,i),dupl_,info) if (info /= 0) exit end do @@ -389,7 +368,7 @@ subroutine psb_lins_vect_r2(m, irw, val, x, desc_a, info, dupl,local) end subroutine psb_lins_vect_r2 -subroutine psb_lins_multivect(m, irw, val, x, desc_a, info, dupl,local) +subroutine psb_lins_multivect(m, irw, val, x, desc_a, info, local) use psb_base_mod, psb_protect_name => psb_lins_multivect use psi_mod implicit none @@ -405,7 +384,6 @@ subroutine psb_lins_multivect(m, irw, val, x, desc_a, info, dupl,local) type(psb_l_multivect_type), intent(inout) :: x type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_), optional, intent(in) :: dupl logical, intent(in), optional :: local !locals..... @@ -468,11 +446,7 @@ subroutine psb_lins_multivect(m, irw, val, x, desc_a, info, dupl,local) goto 9999 endif - if (present(dupl)) then - dupl_ = dupl - else - dupl_ = psb_dupl_ovwrt_ - endif + dupl_ = x%get_dupl() if (present(local)) then local_ = local else diff --git a/base/tools/psb_s_remote_mat.F90 b/base/tools/psb_s_remote_mat.F90 index 176410f4..1cccce94 100644 --- a/base/tools/psb_s_remote_mat.F90 +++ b/base/tools/psb_s_remote_mat.F90 @@ -277,7 +277,7 @@ Subroutine psb_ls_remote_mat(a,desc_a,b,info) End Subroutine psb_ls_remote_mat -subroutine psb_s_remote_vect(v,desc_a, info, dupl) +subroutine psb_s_remote_vect(v,desc_a, info) use psb_base_mod, psb_protect_name => psb_s_remote_vect #ifdef MPI_MOD @@ -291,7 +291,6 @@ subroutine psb_s_remote_vect(v,desc_a, info, dupl) type(psb_s_vect_type),Intent(inout) :: v type(psb_desc_type),intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_),optional, intent(in) :: dupl ! ...local scalars.... type(psb_ctxt_type) :: ctxt @@ -323,21 +322,12 @@ subroutine psb_s_remote_vect(v,desc_a, info, dupl) debug_unit = psb_get_debug_unit() debug_level = psb_get_debug_level() - if (present(dupl)) then - dupl_ = dupl - else - if (v%is_remote_build()) then - dupl_ = psb_dupl_add_ - else - dupl_ = psb_dupl_def_ - end if - endif - ctxt = desc_a%get_context() icomm = desc_a%get_mpic() Call psb_info(ctxt, me, np) + dupl_ = v%get_dupl() if (debug_level >= psb_debug_outer_) & & write(debug_unit,*) me,' ',trim(name),': Start' write(0,*) me, 'X_remote_vect implementation to be completed ' diff --git a/base/tools/psb_sallc.f90 b/base/tools/psb_sallc.f90 index 941ce917..13b6368e 100644 --- a/base/tools/psb_sallc.f90 +++ b/base/tools/psb_sallc.f90 @@ -40,7 +40,7 @@ ! x - the vector to be allocated. ! desc_a - the communication descriptor. ! info - Return code -subroutine psb_salloc_vect(x, desc_a,info) +subroutine psb_salloc_vect(x, desc_a,info, dupl, bldmode) use psb_base_mod, psb_protect_name => psb_salloc_vect use psi_mod implicit none @@ -49,9 +49,11 @@ subroutine psb_salloc_vect(x, desc_a,info) type(psb_s_vect_type), intent(out) :: x type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_),intent(out) :: info + integer(psb_ipk_), optional, intent(in) :: dupl, bldmode !locals integer(psb_ipk_) :: np,me,nr,i,err_act + integer(psb_ipk_) :: dupl_, bldmode_, nrmt_ type(psb_ctxt_type) :: ctxt integer(psb_ipk_) :: debug_level, debug_unit character(len=20) :: name @@ -102,6 +104,23 @@ subroutine psb_salloc_vect(x, desc_a,info) endif call x%zero() + if (present(bldmode)) then + bldmode_ = bldmode + else + bldmode_ = psb_matbld_noremote_ + end if + if (present(dupl)) then + dupl_ = dupl + else + dupl_ = psb_dupl_def_ + end if + call x%set_dupl(dupl_) + call x%set_remote_build(bldmode_) + if (x%is_remote_build()) then + nrmt_ = max(100,(desc_a%get_local_cols()-desc_a%get_local_rows())) + allocate(x%rmtv(nrmt_)) + end if + call psb_erractionrestore(err_act) return @@ -121,7 +140,7 @@ end subroutine psb_salloc_vect ! n - optional number of columns. ! lb - optional lower bound on column indices -subroutine psb_salloc_vect_r2(x, desc_a,info,n,lb) +subroutine psb_salloc_vect_r2(x, desc_a,info,n,lb, dupl, bldmode) use psb_base_mod, psb_protect_name => psb_salloc_vect_r2 use psi_mod implicit none @@ -131,10 +150,12 @@ subroutine psb_salloc_vect_r2(x, desc_a,info,n,lb) type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_),intent(out) :: info integer(psb_ipk_), optional, intent(in) :: n,lb + integer(psb_ipk_), optional, intent(in) :: dupl, bldmode !locals type(psb_ctxt_type) :: ctxt integer(psb_ipk_) :: np,me,nr,i,err_act, n_, lb_ + integer(psb_ipk_) :: dupl_, bldmode_, nrmt_ integer(psb_ipk_) :: exch(1) integer(psb_ipk_) :: debug_level, debug_unit character(len=20) :: name @@ -208,6 +229,26 @@ subroutine psb_salloc_vect_r2(x, desc_a,info,n,lb) if (info /= 0) exit end do end if + + if (present(bldmode)) then + bldmode_ = bldmode + else + bldmode_ = psb_matbld_noremote_ + end if + if (present(dupl)) then + dupl_ = dupl + else + dupl_ = psb_dupl_def_ + end if + + do i=lb_, lb_+n_-1 + call x(i)%set_dupl(dupl_) + call x(i)%set_remote_build(bldmode_) + if (x(i)%is_remote_build()) then + nrmt_ = max(100,(desc_a%get_local_cols()-desc_a%get_local_rows())) + allocate(x(i)%rmtv(nrmt_)) + end if + end do if (psb_errstatus_fatal()) then info=psb_err_alloc_request_ call psb_errpush(info,name,i_err=(/nr/),a_err='real(psb_spk_)') @@ -224,7 +265,7 @@ subroutine psb_salloc_vect_r2(x, desc_a,info,n,lb) end subroutine psb_salloc_vect_r2 -subroutine psb_salloc_multivect(x, desc_a,info,n) +subroutine psb_salloc_multivect(x, desc_a,info,n, dupl, bldmode) use psb_base_mod, psb_protect_name => psb_salloc_multivect use psi_mod implicit none @@ -234,10 +275,12 @@ subroutine psb_salloc_multivect(x, desc_a,info,n) type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_),intent(out) :: info integer(psb_ipk_), optional, intent(in) :: n + integer(psb_ipk_), optional, intent(in) :: dupl, bldmode !locals type(psb_ctxt_type) :: ctxt integer(psb_ipk_) :: np,me,nr,i,err_act, n_, lb_ + integer(psb_ipk_) :: dupl_, bldmode_, nrmt_ integer(psb_ipk_) :: exch(1) integer(psb_ipk_) :: debug_level, debug_unit character(len=20) :: name @@ -306,6 +349,23 @@ subroutine psb_salloc_multivect(x, desc_a,info,n) call psb_errpush(info,name,i_err=(/nr/),a_err='real(psb_spk_)') goto 9999 endif + if (present(bldmode)) then + bldmode_ = bldmode + else + bldmode_ = psb_matbld_noremote_ + end if + if (present(dupl)) then + dupl_ = dupl + else + dupl_ = psb_dupl_def_ + end if + call x%set_dupl(dupl_) + call x%set_remote_build(bldmode_) + if (x%is_remote_build()) then + nrmt_ = max(100,(desc_a%get_local_cols()-desc_a%get_local_rows())) + allocate(x%rmtv(nrmt_,n_)) + end if + call psb_erractionrestore(err_act) return diff --git a/base/tools/psb_sasb.f90 b/base/tools/psb_sasb.f90 index b13f095a..69bc10b2 100644 --- a/base/tools/psb_sasb.f90 +++ b/base/tools/psb_sasb.f90 @@ -51,7 +51,7 @@ ! scratch - logical, optional If true, allocate without checking/zeroing contents. ! default: .false. ! -subroutine psb_sasb_vect(x, desc_a, info, mold, dupl,scratch) +subroutine psb_sasb_vect(x, desc_a, info, mold, scratch) use psb_base_mod, psb_protect_name => psb_sasb_vect implicit none @@ -59,7 +59,6 @@ subroutine psb_sasb_vect(x, desc_a, info, mold, dupl,scratch) type(psb_s_vect_type), intent(inout) :: x integer(psb_ipk_), intent(out) :: info class(psb_s_base_vect_type), intent(in), optional :: mold - integer(psb_ipk_), optional, intent(in) :: dupl logical, intent(in), optional :: scratch ! local variables @@ -83,13 +82,8 @@ subroutine psb_sasb_vect(x, desc_a, info, mold, dupl,scratch) scratch_ = .false. if (present(scratch)) scratch_ = scratch - if (present(dupl)) then - dupl_ = dupl - else - dupl_ = psb_dupl_ovwrt_ - endif call psb_info(ctxt, me, np) - + dupl_ = x%get_dupl() ! ....verify blacs grid correctness.. if (np == -1) then info = psb_err_context_error_ @@ -110,7 +104,7 @@ subroutine psb_sasb_vect(x, desc_a, info, mold, dupl,scratch) call x%free(info) call x%bld(ncol,mold=mold) else - if (x%is_remote_build()) call psb_s_remote_vect(x,desc_a,dupl_, info) + if (x%is_remote_build()) call psb_s_remote_vect(x,desc_a,info) call x%asb(ncol,info) ! ..update halo elements.. call psb_halo(x,desc_a,info) @@ -147,7 +141,7 @@ subroutine psb_sasb_vect_r2(x, desc_a, info, mold, scratch) ! local variables type(psb_ctxt_type) :: ctxt integer(psb_ipk_) :: np,me, i, n - integer(psb_ipk_) :: i1sz,nrow,ncol, err_act + integer(psb_ipk_) :: i1sz,nrow,ncol, err_act, dupl_ logical :: scratch_ integer(psb_ipk_) :: debug_level, debug_unit character(len=20) :: name,ch_err @@ -166,7 +160,6 @@ subroutine psb_sasb_vect_r2(x, desc_a, info, mold, scratch) scratch_ = .false. if (present(scratch)) scratch_ = scratch call psb_info(ctxt, me, np) - ! ....verify blacs grid correctness.. if (np == -1) then info = psb_err_context_error_ @@ -192,6 +185,7 @@ subroutine psb_sasb_vect_r2(x, desc_a, info, mold, scratch) else do i=1, n + dupl_ = x(i)%get_dupl() call x(i)%asb(ncol,info) if (info /= 0) exit ! ..update halo elements.. @@ -232,7 +226,7 @@ subroutine psb_sasb_multivect(x, desc_a, info, mold, scratch,n) ! local variables type(psb_ctxt_type) :: ctxt integer(psb_ipk_) :: np,me - integer(psb_ipk_) :: i1sz,nrow,ncol, err_act, n_ + integer(psb_ipk_) :: i1sz,nrow,ncol, err_act, n_, dupl_ logical :: scratch_ integer(psb_ipk_) :: debug_level, debug_unit @@ -278,6 +272,7 @@ subroutine psb_sasb_multivect(x, desc_a, info, mold, scratch,n) if (debug_level >= psb_debug_ext_) & & write(debug_unit,*) me,' ',trim(name),': sizes: ',nrow,ncol + dupl_ = x%get_dupl() if (scratch_) then call x%free(info) call x%bld(ncol,n_,mold=mold) diff --git a/base/tools/psb_sins.f90 b/base/tools/psb_sins.f90 index 2ef44c85..2c41be7d 100644 --- a/base/tools/psb_sins.f90 +++ b/base/tools/psb_sins.f90 @@ -42,10 +42,7 @@ ! x - type(psb_s_vect_type) The destination vector ! desc_a - type(psb_desc_type). The communication descriptor. ! info - integer. return code -! dupl - integer What to do with duplicates: -! psb_dupl_ovwrt_ overwrite -! psb_dupl_add_ add -subroutine psb_sins_vect(m, irw, val, x, desc_a, info, dupl,local) +subroutine psb_sins_vect(m, irw, val, x, desc_a, info, local) use psb_base_mod, psb_protect_name => psb_sins_vect use psi_mod implicit none @@ -57,14 +54,14 @@ subroutine psb_sins_vect(m, irw, val, x, desc_a, info, dupl,local) type(psb_s_vect_type), intent(inout) :: x type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_), optional, intent(in) :: dupl logical, intent(in), optional :: local !locals..... integer(psb_ipk_) :: i, loc_rows,loc_cols integer(psb_lpk_) :: mglob + integer(psb_ipk_) :: dupl_ type(psb_ctxt_type) :: ctxt - integer(psb_ipk_) :: np, me, dupl_,err_act + integer(psb_ipk_) :: np, me, err_act integer(psb_ipk_), allocatable :: irl(:) logical :: local_ character(len=20) :: name @@ -119,11 +116,7 @@ subroutine psb_sins_vect(m, irw, val, x, desc_a, info, dupl,local) goto 9999 endif - if (present(dupl)) then - dupl_ = dupl - else - dupl_ = psb_dupl_ovwrt_ - endif + dupl_ = x%get_dupl() if (present(local)) then local_ = local else @@ -165,10 +158,7 @@ end subroutine psb_sins_vect ! x - type(psb_s_vect_type) The destination vector ! desc_a - type(psb_desc_type). The communication descriptor. ! info - integer. return code -! dupl - integer What to do with duplicates: -! psb_dupl_ovwrt_ overwrite -! psb_dupl_add_ add -subroutine psb_sins_vect_v(m, irw, val, x, desc_a, info, dupl,local) +subroutine psb_sins_vect_v(m, irw, val, x, desc_a, info, local) use psb_base_mod, psb_protect_name => psb_sins_vect_v use psi_mod implicit none @@ -184,7 +174,6 @@ subroutine psb_sins_vect_v(m, irw, val, x, desc_a, info, dupl,local) type(psb_s_vect_type), intent(inout) :: x type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_), optional, intent(in) :: dupl logical, intent(in), optional :: local !locals..... @@ -238,14 +227,7 @@ subroutine psb_sins_vect_v(m, irw, val, x, desc_a, info, dupl,local) call psb_errpush(info,name) goto 9999 endif - - - - if (present(dupl)) then - dupl_ = dupl - else - dupl_ = psb_dupl_ovwrt_ - endif + dupl_ = x%get_dupl() if (present(local)) then local_ = local else @@ -274,7 +256,7 @@ subroutine psb_sins_vect_v(m, irw, val, x, desc_a, info, dupl,local) end subroutine psb_sins_vect_v -subroutine psb_sins_vect_r2(m, irw, val, x, desc_a, info, dupl,local) +subroutine psb_sins_vect_r2(m, irw, val, x, desc_a, info, local) use psb_base_mod, psb_protect_name => psb_sins_vect_r2 use psi_mod implicit none @@ -290,14 +272,14 @@ subroutine psb_sins_vect_r2(m, irw, val, x, desc_a, info, dupl,local) type(psb_s_vect_type), intent(inout) :: x(:) type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_), optional, intent(in) :: dupl logical, intent(in), optional :: local !locals..... integer(psb_ipk_) :: i, loc_rows,loc_cols, n integer(psb_lpk_) :: mglob + integer(psb_ipk_) :: dupl_ type(psb_ctxt_type) :: ctxt - integer(psb_ipk_) :: np, me, dupl_, err_act + integer(psb_ipk_) :: np, me, err_act integer(psb_ipk_), allocatable :: irl(:) logical :: local_ character(len=20) :: name @@ -352,11 +334,6 @@ subroutine psb_sins_vect_r2(m, irw, val, x, desc_a, info, dupl,local) goto 9999 endif - if (present(dupl)) then - dupl_ = dupl - else - dupl_ = psb_dupl_ovwrt_ - endif if (present(local)) then local_ = local else @@ -370,7 +347,9 @@ subroutine psb_sins_vect_r2(m, irw, val, x, desc_a, info, dupl,local) end if do i=1,n + if (.not.allocated(x(i)%v)) info = psb_err_invalid_vect_state_ + if (info == 0) dupl_ = x(i)%get_dupl() if (info == 0) call x(i)%ins(m,irl,val(:,i),dupl_,info) if (info /= 0) exit end do @@ -389,7 +368,7 @@ subroutine psb_sins_vect_r2(m, irw, val, x, desc_a, info, dupl,local) end subroutine psb_sins_vect_r2 -subroutine psb_sins_multivect(m, irw, val, x, desc_a, info, dupl,local) +subroutine psb_sins_multivect(m, irw, val, x, desc_a, info, local) use psb_base_mod, psb_protect_name => psb_sins_multivect use psi_mod implicit none @@ -405,7 +384,6 @@ subroutine psb_sins_multivect(m, irw, val, x, desc_a, info, dupl,local) type(psb_s_multivect_type), intent(inout) :: x type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_), optional, intent(in) :: dupl logical, intent(in), optional :: local !locals..... @@ -468,11 +446,7 @@ subroutine psb_sins_multivect(m, irw, val, x, desc_a, info, dupl,local) goto 9999 endif - if (present(dupl)) then - dupl_ = dupl - else - dupl_ = psb_dupl_ovwrt_ - endif + dupl_ = x%get_dupl() if (present(local)) then local_ = local else diff --git a/base/tools/psb_sspalloc.f90 b/base/tools/psb_sspalloc.f90 index bcaee92b..8004e742 100644 --- a/base/tools/psb_sspalloc.f90 +++ b/base/tools/psb_sspalloc.f90 @@ -41,20 +41,22 @@ ! nnz - integer(optional). The number of nonzeroes in the matrix. ! (local, user estimate) ! -subroutine psb_sspalloc(a, desc_a, info, nnz, bldmode) +subroutine psb_sspalloc(a, desc_a, info, nnz, dupl, bldmode) use psb_base_mod, psb_protect_name => psb_sspalloc implicit none !....parameters... - type(psb_desc_type), intent(in) :: desc_a - type(psb_sspmat_type), intent(inout) :: a - integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_), optional, intent(in) :: nnz, bldmode + type(psb_desc_type), intent(in) :: desc_a + type(psb_sspmat_type), intent(inout) :: a + integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), optional, intent(in) :: nnz + integer(psb_ipk_), optional, intent(in) :: dupl, bldmode !locals type(psb_ctxt_type) :: ctxt integer(psb_ipk_) :: np, me, err_act - integer(psb_ipk_) :: loc_row,loc_col, nnz_, dectype, bldmode_ + integer(psb_ipk_) :: loc_row,loc_col, nnz_, dectype + integer(psb_ipk_) :: dupl_, bldmode_ integer(psb_lpk_) :: m, n, nnzrmt_ integer(psb_ipk_) :: debug_level, debug_unit character(len=20) :: name @@ -96,11 +98,6 @@ subroutine psb_sspalloc(a, desc_a, info, nnz, bldmode) else nnz_ = max(1,5*loc_row) endif - if (present(bldmode)) then - bldmode_ = bldmode - else - bldmode_ = psb_matbld_noremote_ - end if if (debug_level >= psb_debug_ext_) & & write(debug_unit,*) me,' ',trim(name), & @@ -114,8 +111,17 @@ subroutine psb_sspalloc(a, desc_a, info, nnz, bldmode) goto 9999 end if -!!$ write(0,*) name,'Setting a%remote_build ',& -!!$ & bldmode_,psb_matbld_noremote_,psb_matbld_remote_ + if (present(bldmode)) then + bldmode_ = bldmode + else + bldmode_ = psb_matbld_noremote_ + end if + if (present(dupl)) then + dupl_ = dupl + else + dupl_ = psb_dupl_def_ + end if + call a%set_dupl(dupl_) call a%set_remote_build(bldmode_) if (a%is_remote_build()) then allocate(a%rmta) @@ -123,22 +129,6 @@ subroutine psb_sspalloc(a, desc_a, info, nnz, bldmode) call a%rmta%allocate(m,n,nnzrmt_) end if -!!$ a%remote_build = bldmode_ -!!$ select case(a%remote_build) -!!$ case (psb_matbld_noremote_) -!!$ ! nothing needed -!!$ !write(0,*) name,' matbld_noremote_ nothing needed' -!!$ case (psb_matbld_remote_) -!!$ !write(0,*) name,' matbld_remote_ start ' -!!$ allocate(a%rmta) -!!$ nnzrmt_ = max(100,(nnz_/100)) -!!$ call a%rmta%allocate(m,n,nnzrmt_) -!!$ -!!$ case default -!!$ write(0,*) name,'Invalid value for remote_build ' -!!$ a%remote_build = psb_matbld_noremote_ -!!$ end select - if (debug_level >= psb_debug_ext_) & & write(debug_unit,*) me,' ',trim(name),': ', & & desc_a%get_dectype(),psb_desc_bld_ diff --git a/base/tools/psb_sspasb.f90 b/base/tools/psb_sspasb.f90 index d4bf923f..4b0c8ad4 100644 --- a/base/tools/psb_sspasb.f90 +++ b/base/tools/psb_sspasb.f90 @@ -42,13 +42,9 @@ ! upd - character(optional). How will the matrix be updated? ! psb_upd_srch_ Simple strategy ! psb_upd_perm_ Permutation(more memory) -! dupl - integer(optional). Duplicate coefficient handling: -! psb_dupl_ovwrt_ overwrite -! psb_dupl_add_ add -! psb_dupl_err_ raise an error. ! ! -subroutine psb_sspasb(a,desc_a, info, afmt, upd, dupl, mold) +subroutine psb_sspasb(a,desc_a, info, afmt, upd, mold) use psb_base_mod, psb_protect_name => psb_sspasb use psb_sort_mod use psi_mod @@ -56,16 +52,16 @@ subroutine psb_sspasb(a,desc_a, info, afmt, upd, dupl, mold) !...Parameters.... - type(psb_sspmat_type), intent (inout) :: a + type(psb_sspmat_type), intent (inout) :: a type(psb_desc_type), intent(inout) :: desc_a - integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_),optional, intent(in) :: dupl, upd - character(len=*), optional, intent(in) :: afmt + integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), optional, intent(in) :: upd + character(len=*), optional, intent(in) :: afmt class(psb_s_base_sparse_mat), intent(in), optional :: mold !....Locals.... type(psb_ctxt_type) :: ctxt integer(psb_ipk_) :: np,me, err_act - integer(psb_ipk_) :: n_row,n_col + integer(psb_ipk_) :: n_row,n_col, dupl_ integer(psb_ipk_) :: debug_level, debug_unit character(len=20) :: name, ch_err class(psb_i_base_vect_type), allocatable :: ivm @@ -100,8 +96,8 @@ subroutine psb_sspasb(a,desc_a, info, afmt, upd, dupl, mold) !check on errors encountered in psdspins - - if (a%is_bld()) then + if (a%is_bld()) then + dupl_ = a%get_dupl() ! ! First case: we come from a fresh build. ! @@ -140,7 +136,7 @@ subroutine psb_sspasb(a,desc_a, info, afmt, upd, dupl, mold) end block end if call a%set_ncols(desc_a%get_local_cols()) - call a%cscnv(info,type=afmt,dupl=dupl, mold=mold) + call a%cscnv(info,type=afmt,mold=mold,dupl=dupl_) else if (a%is_upd()) then if (a%is_remote_build()) then !write(0,*) me,name,' Size of rmta:',a%rmta%get_nzeros() diff --git a/base/tools/psb_z_remote_mat.F90 b/base/tools/psb_z_remote_mat.F90 index 4603580c..2c921570 100644 --- a/base/tools/psb_z_remote_mat.F90 +++ b/base/tools/psb_z_remote_mat.F90 @@ -277,7 +277,7 @@ Subroutine psb_lz_remote_mat(a,desc_a,b,info) End Subroutine psb_lz_remote_mat -subroutine psb_z_remote_vect(v,desc_a, info, dupl) +subroutine psb_z_remote_vect(v,desc_a, info) use psb_base_mod, psb_protect_name => psb_z_remote_vect #ifdef MPI_MOD @@ -291,7 +291,6 @@ subroutine psb_z_remote_vect(v,desc_a, info, dupl) type(psb_z_vect_type),Intent(inout) :: v type(psb_desc_type),intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_),optional, intent(in) :: dupl ! ...local scalars.... type(psb_ctxt_type) :: ctxt @@ -323,21 +322,12 @@ subroutine psb_z_remote_vect(v,desc_a, info, dupl) debug_unit = psb_get_debug_unit() debug_level = psb_get_debug_level() - if (present(dupl)) then - dupl_ = dupl - else - if (v%is_remote_build()) then - dupl_ = psb_dupl_add_ - else - dupl_ = psb_dupl_def_ - end if - endif - ctxt = desc_a%get_context() icomm = desc_a%get_mpic() Call psb_info(ctxt, me, np) + dupl_ = v%get_dupl() if (debug_level >= psb_debug_outer_) & & write(debug_unit,*) me,' ',trim(name),': Start' write(0,*) me, 'X_remote_vect implementation to be completed ' diff --git a/base/tools/psb_zallc.f90 b/base/tools/psb_zallc.f90 index fa84827e..d40ce62a 100644 --- a/base/tools/psb_zallc.f90 +++ b/base/tools/psb_zallc.f90 @@ -40,7 +40,7 @@ ! x - the vector to be allocated. ! desc_a - the communication descriptor. ! info - Return code -subroutine psb_zalloc_vect(x, desc_a,info) +subroutine psb_zalloc_vect(x, desc_a,info, dupl, bldmode) use psb_base_mod, psb_protect_name => psb_zalloc_vect use psi_mod implicit none @@ -49,9 +49,11 @@ subroutine psb_zalloc_vect(x, desc_a,info) type(psb_z_vect_type), intent(out) :: x type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_),intent(out) :: info + integer(psb_ipk_), optional, intent(in) :: dupl, bldmode !locals integer(psb_ipk_) :: np,me,nr,i,err_act + integer(psb_ipk_) :: dupl_, bldmode_, nrmt_ type(psb_ctxt_type) :: ctxt integer(psb_ipk_) :: debug_level, debug_unit character(len=20) :: name @@ -102,6 +104,23 @@ subroutine psb_zalloc_vect(x, desc_a,info) endif call x%zero() + if (present(bldmode)) then + bldmode_ = bldmode + else + bldmode_ = psb_matbld_noremote_ + end if + if (present(dupl)) then + dupl_ = dupl + else + dupl_ = psb_dupl_def_ + end if + call x%set_dupl(dupl_) + call x%set_remote_build(bldmode_) + if (x%is_remote_build()) then + nrmt_ = max(100,(desc_a%get_local_cols()-desc_a%get_local_rows())) + allocate(x%rmtv(nrmt_)) + end if + call psb_erractionrestore(err_act) return @@ -121,7 +140,7 @@ end subroutine psb_zalloc_vect ! n - optional number of columns. ! lb - optional lower bound on column indices -subroutine psb_zalloc_vect_r2(x, desc_a,info,n,lb) +subroutine psb_zalloc_vect_r2(x, desc_a,info,n,lb, dupl, bldmode) use psb_base_mod, psb_protect_name => psb_zalloc_vect_r2 use psi_mod implicit none @@ -131,10 +150,12 @@ subroutine psb_zalloc_vect_r2(x, desc_a,info,n,lb) type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_),intent(out) :: info integer(psb_ipk_), optional, intent(in) :: n,lb + integer(psb_ipk_), optional, intent(in) :: dupl, bldmode !locals type(psb_ctxt_type) :: ctxt integer(psb_ipk_) :: np,me,nr,i,err_act, n_, lb_ + integer(psb_ipk_) :: dupl_, bldmode_, nrmt_ integer(psb_ipk_) :: exch(1) integer(psb_ipk_) :: debug_level, debug_unit character(len=20) :: name @@ -208,6 +229,26 @@ subroutine psb_zalloc_vect_r2(x, desc_a,info,n,lb) if (info /= 0) exit end do end if + + if (present(bldmode)) then + bldmode_ = bldmode + else + bldmode_ = psb_matbld_noremote_ + end if + if (present(dupl)) then + dupl_ = dupl + else + dupl_ = psb_dupl_def_ + end if + + do i=lb_, lb_+n_-1 + call x(i)%set_dupl(dupl_) + call x(i)%set_remote_build(bldmode_) + if (x(i)%is_remote_build()) then + nrmt_ = max(100,(desc_a%get_local_cols()-desc_a%get_local_rows())) + allocate(x(i)%rmtv(nrmt_)) + end if + end do if (psb_errstatus_fatal()) then info=psb_err_alloc_request_ call psb_errpush(info,name,i_err=(/nr/),a_err='real(psb_spk_)') @@ -224,7 +265,7 @@ subroutine psb_zalloc_vect_r2(x, desc_a,info,n,lb) end subroutine psb_zalloc_vect_r2 -subroutine psb_zalloc_multivect(x, desc_a,info,n) +subroutine psb_zalloc_multivect(x, desc_a,info,n, dupl, bldmode) use psb_base_mod, psb_protect_name => psb_zalloc_multivect use psi_mod implicit none @@ -234,10 +275,12 @@ subroutine psb_zalloc_multivect(x, desc_a,info,n) type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_),intent(out) :: info integer(psb_ipk_), optional, intent(in) :: n + integer(psb_ipk_), optional, intent(in) :: dupl, bldmode !locals type(psb_ctxt_type) :: ctxt integer(psb_ipk_) :: np,me,nr,i,err_act, n_, lb_ + integer(psb_ipk_) :: dupl_, bldmode_, nrmt_ integer(psb_ipk_) :: exch(1) integer(psb_ipk_) :: debug_level, debug_unit character(len=20) :: name @@ -306,6 +349,23 @@ subroutine psb_zalloc_multivect(x, desc_a,info,n) call psb_errpush(info,name,i_err=(/nr/),a_err='real(psb_spk_)') goto 9999 endif + if (present(bldmode)) then + bldmode_ = bldmode + else + bldmode_ = psb_matbld_noremote_ + end if + if (present(dupl)) then + dupl_ = dupl + else + dupl_ = psb_dupl_def_ + end if + call x%set_dupl(dupl_) + call x%set_remote_build(bldmode_) + if (x%is_remote_build()) then + nrmt_ = max(100,(desc_a%get_local_cols()-desc_a%get_local_rows())) + allocate(x%rmtv(nrmt_,n_)) + end if + call psb_erractionrestore(err_act) return diff --git a/base/tools/psb_zasb.f90 b/base/tools/psb_zasb.f90 index 050558ac..1cca7ea2 100644 --- a/base/tools/psb_zasb.f90 +++ b/base/tools/psb_zasb.f90 @@ -51,7 +51,7 @@ ! scratch - logical, optional If true, allocate without checking/zeroing contents. ! default: .false. ! -subroutine psb_zasb_vect(x, desc_a, info, mold, dupl,scratch) +subroutine psb_zasb_vect(x, desc_a, info, mold, scratch) use psb_base_mod, psb_protect_name => psb_zasb_vect implicit none @@ -59,7 +59,6 @@ subroutine psb_zasb_vect(x, desc_a, info, mold, dupl,scratch) type(psb_z_vect_type), intent(inout) :: x integer(psb_ipk_), intent(out) :: info class(psb_z_base_vect_type), intent(in), optional :: mold - integer(psb_ipk_), optional, intent(in) :: dupl logical, intent(in), optional :: scratch ! local variables @@ -83,13 +82,8 @@ subroutine psb_zasb_vect(x, desc_a, info, mold, dupl,scratch) scratch_ = .false. if (present(scratch)) scratch_ = scratch - if (present(dupl)) then - dupl_ = dupl - else - dupl_ = psb_dupl_ovwrt_ - endif call psb_info(ctxt, me, np) - + dupl_ = x%get_dupl() ! ....verify blacs grid correctness.. if (np == -1) then info = psb_err_context_error_ @@ -110,7 +104,7 @@ subroutine psb_zasb_vect(x, desc_a, info, mold, dupl,scratch) call x%free(info) call x%bld(ncol,mold=mold) else - if (x%is_remote_build()) call psb_z_remote_vect(x,desc_a,dupl_, info) + if (x%is_remote_build()) call psb_z_remote_vect(x,desc_a,info) call x%asb(ncol,info) ! ..update halo elements.. call psb_halo(x,desc_a,info) @@ -147,7 +141,7 @@ subroutine psb_zasb_vect_r2(x, desc_a, info, mold, scratch) ! local variables type(psb_ctxt_type) :: ctxt integer(psb_ipk_) :: np,me, i, n - integer(psb_ipk_) :: i1sz,nrow,ncol, err_act + integer(psb_ipk_) :: i1sz,nrow,ncol, err_act, dupl_ logical :: scratch_ integer(psb_ipk_) :: debug_level, debug_unit character(len=20) :: name,ch_err @@ -166,7 +160,6 @@ subroutine psb_zasb_vect_r2(x, desc_a, info, mold, scratch) scratch_ = .false. if (present(scratch)) scratch_ = scratch call psb_info(ctxt, me, np) - ! ....verify blacs grid correctness.. if (np == -1) then info = psb_err_context_error_ @@ -192,6 +185,7 @@ subroutine psb_zasb_vect_r2(x, desc_a, info, mold, scratch) else do i=1, n + dupl_ = x(i)%get_dupl() call x(i)%asb(ncol,info) if (info /= 0) exit ! ..update halo elements.. @@ -232,7 +226,7 @@ subroutine psb_zasb_multivect(x, desc_a, info, mold, scratch,n) ! local variables type(psb_ctxt_type) :: ctxt integer(psb_ipk_) :: np,me - integer(psb_ipk_) :: i1sz,nrow,ncol, err_act, n_ + integer(psb_ipk_) :: i1sz,nrow,ncol, err_act, n_, dupl_ logical :: scratch_ integer(psb_ipk_) :: debug_level, debug_unit @@ -278,6 +272,7 @@ subroutine psb_zasb_multivect(x, desc_a, info, mold, scratch,n) if (debug_level >= psb_debug_ext_) & & write(debug_unit,*) me,' ',trim(name),': sizes: ',nrow,ncol + dupl_ = x%get_dupl() if (scratch_) then call x%free(info) call x%bld(ncol,n_,mold=mold) diff --git a/base/tools/psb_zins.f90 b/base/tools/psb_zins.f90 index 089a1da7..4d000093 100644 --- a/base/tools/psb_zins.f90 +++ b/base/tools/psb_zins.f90 @@ -42,10 +42,7 @@ ! x - type(psb_z_vect_type) The destination vector ! desc_a - type(psb_desc_type). The communication descriptor. ! info - integer. return code -! dupl - integer What to do with duplicates: -! psb_dupl_ovwrt_ overwrite -! psb_dupl_add_ add -subroutine psb_zins_vect(m, irw, val, x, desc_a, info, dupl,local) +subroutine psb_zins_vect(m, irw, val, x, desc_a, info, local) use psb_base_mod, psb_protect_name => psb_zins_vect use psi_mod implicit none @@ -57,14 +54,14 @@ subroutine psb_zins_vect(m, irw, val, x, desc_a, info, dupl,local) type(psb_z_vect_type), intent(inout) :: x type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_), optional, intent(in) :: dupl logical, intent(in), optional :: local !locals..... integer(psb_ipk_) :: i, loc_rows,loc_cols integer(psb_lpk_) :: mglob + integer(psb_ipk_) :: dupl_ type(psb_ctxt_type) :: ctxt - integer(psb_ipk_) :: np, me, dupl_,err_act + integer(psb_ipk_) :: np, me, err_act integer(psb_ipk_), allocatable :: irl(:) logical :: local_ character(len=20) :: name @@ -119,11 +116,7 @@ subroutine psb_zins_vect(m, irw, val, x, desc_a, info, dupl,local) goto 9999 endif - if (present(dupl)) then - dupl_ = dupl - else - dupl_ = psb_dupl_ovwrt_ - endif + dupl_ = x%get_dupl() if (present(local)) then local_ = local else @@ -165,10 +158,7 @@ end subroutine psb_zins_vect ! x - type(psb_z_vect_type) The destination vector ! desc_a - type(psb_desc_type). The communication descriptor. ! info - integer. return code -! dupl - integer What to do with duplicates: -! psb_dupl_ovwrt_ overwrite -! psb_dupl_add_ add -subroutine psb_zins_vect_v(m, irw, val, x, desc_a, info, dupl,local) +subroutine psb_zins_vect_v(m, irw, val, x, desc_a, info, local) use psb_base_mod, psb_protect_name => psb_zins_vect_v use psi_mod implicit none @@ -184,7 +174,6 @@ subroutine psb_zins_vect_v(m, irw, val, x, desc_a, info, dupl,local) type(psb_z_vect_type), intent(inout) :: x type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_), optional, intent(in) :: dupl logical, intent(in), optional :: local !locals..... @@ -238,14 +227,7 @@ subroutine psb_zins_vect_v(m, irw, val, x, desc_a, info, dupl,local) call psb_errpush(info,name) goto 9999 endif - - - - if (present(dupl)) then - dupl_ = dupl - else - dupl_ = psb_dupl_ovwrt_ - endif + dupl_ = x%get_dupl() if (present(local)) then local_ = local else @@ -274,7 +256,7 @@ subroutine psb_zins_vect_v(m, irw, val, x, desc_a, info, dupl,local) end subroutine psb_zins_vect_v -subroutine psb_zins_vect_r2(m, irw, val, x, desc_a, info, dupl,local) +subroutine psb_zins_vect_r2(m, irw, val, x, desc_a, info, local) use psb_base_mod, psb_protect_name => psb_zins_vect_r2 use psi_mod implicit none @@ -290,14 +272,14 @@ subroutine psb_zins_vect_r2(m, irw, val, x, desc_a, info, dupl,local) type(psb_z_vect_type), intent(inout) :: x(:) type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_), optional, intent(in) :: dupl logical, intent(in), optional :: local !locals..... integer(psb_ipk_) :: i, loc_rows,loc_cols, n integer(psb_lpk_) :: mglob + integer(psb_ipk_) :: dupl_ type(psb_ctxt_type) :: ctxt - integer(psb_ipk_) :: np, me, dupl_, err_act + integer(psb_ipk_) :: np, me, err_act integer(psb_ipk_), allocatable :: irl(:) logical :: local_ character(len=20) :: name @@ -352,11 +334,6 @@ subroutine psb_zins_vect_r2(m, irw, val, x, desc_a, info, dupl,local) goto 9999 endif - if (present(dupl)) then - dupl_ = dupl - else - dupl_ = psb_dupl_ovwrt_ - endif if (present(local)) then local_ = local else @@ -370,7 +347,9 @@ subroutine psb_zins_vect_r2(m, irw, val, x, desc_a, info, dupl,local) end if do i=1,n + if (.not.allocated(x(i)%v)) info = psb_err_invalid_vect_state_ + if (info == 0) dupl_ = x(i)%get_dupl() if (info == 0) call x(i)%ins(m,irl,val(:,i),dupl_,info) if (info /= 0) exit end do @@ -389,7 +368,7 @@ subroutine psb_zins_vect_r2(m, irw, val, x, desc_a, info, dupl,local) end subroutine psb_zins_vect_r2 -subroutine psb_zins_multivect(m, irw, val, x, desc_a, info, dupl,local) +subroutine psb_zins_multivect(m, irw, val, x, desc_a, info, local) use psb_base_mod, psb_protect_name => psb_zins_multivect use psi_mod implicit none @@ -405,7 +384,6 @@ subroutine psb_zins_multivect(m, irw, val, x, desc_a, info, dupl,local) type(psb_z_multivect_type), intent(inout) :: x type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_), optional, intent(in) :: dupl logical, intent(in), optional :: local !locals..... @@ -468,11 +446,7 @@ subroutine psb_zins_multivect(m, irw, val, x, desc_a, info, dupl,local) goto 9999 endif - if (present(dupl)) then - dupl_ = dupl - else - dupl_ = psb_dupl_ovwrt_ - endif + dupl_ = x%get_dupl() if (present(local)) then local_ = local else diff --git a/base/tools/psb_zspalloc.f90 b/base/tools/psb_zspalloc.f90 index 741b3fb7..308774ef 100644 --- a/base/tools/psb_zspalloc.f90 +++ b/base/tools/psb_zspalloc.f90 @@ -41,20 +41,22 @@ ! nnz - integer(optional). The number of nonzeroes in the matrix. ! (local, user estimate) ! -subroutine psb_zspalloc(a, desc_a, info, nnz, bldmode) +subroutine psb_zspalloc(a, desc_a, info, nnz, dupl, bldmode) use psb_base_mod, psb_protect_name => psb_zspalloc implicit none !....parameters... - type(psb_desc_type), intent(in) :: desc_a - type(psb_zspmat_type), intent(inout) :: a - integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_), optional, intent(in) :: nnz, bldmode + type(psb_desc_type), intent(in) :: desc_a + type(psb_zspmat_type), intent(inout) :: a + integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), optional, intent(in) :: nnz + integer(psb_ipk_), optional, intent(in) :: dupl, bldmode !locals type(psb_ctxt_type) :: ctxt integer(psb_ipk_) :: np, me, err_act - integer(psb_ipk_) :: loc_row,loc_col, nnz_, dectype, bldmode_ + integer(psb_ipk_) :: loc_row,loc_col, nnz_, dectype + integer(psb_ipk_) :: dupl_, bldmode_ integer(psb_lpk_) :: m, n, nnzrmt_ integer(psb_ipk_) :: debug_level, debug_unit character(len=20) :: name @@ -96,11 +98,6 @@ subroutine psb_zspalloc(a, desc_a, info, nnz, bldmode) else nnz_ = max(1,5*loc_row) endif - if (present(bldmode)) then - bldmode_ = bldmode - else - bldmode_ = psb_matbld_noremote_ - end if if (debug_level >= psb_debug_ext_) & & write(debug_unit,*) me,' ',trim(name), & @@ -114,8 +111,17 @@ subroutine psb_zspalloc(a, desc_a, info, nnz, bldmode) goto 9999 end if -!!$ write(0,*) name,'Setting a%remote_build ',& -!!$ & bldmode_,psb_matbld_noremote_,psb_matbld_remote_ + if (present(bldmode)) then + bldmode_ = bldmode + else + bldmode_ = psb_matbld_noremote_ + end if + if (present(dupl)) then + dupl_ = dupl + else + dupl_ = psb_dupl_def_ + end if + call a%set_dupl(dupl_) call a%set_remote_build(bldmode_) if (a%is_remote_build()) then allocate(a%rmta) @@ -123,22 +129,6 @@ subroutine psb_zspalloc(a, desc_a, info, nnz, bldmode) call a%rmta%allocate(m,n,nnzrmt_) end if -!!$ a%remote_build = bldmode_ -!!$ select case(a%remote_build) -!!$ case (psb_matbld_noremote_) -!!$ ! nothing needed -!!$ !write(0,*) name,' matbld_noremote_ nothing needed' -!!$ case (psb_matbld_remote_) -!!$ !write(0,*) name,' matbld_remote_ start ' -!!$ allocate(a%rmta) -!!$ nnzrmt_ = max(100,(nnz_/100)) -!!$ call a%rmta%allocate(m,n,nnzrmt_) -!!$ -!!$ case default -!!$ write(0,*) name,'Invalid value for remote_build ' -!!$ a%remote_build = psb_matbld_noremote_ -!!$ end select - if (debug_level >= psb_debug_ext_) & & write(debug_unit,*) me,' ',trim(name),': ', & & desc_a%get_dectype(),psb_desc_bld_ diff --git a/base/tools/psb_zspasb.f90 b/base/tools/psb_zspasb.f90 index f1af9661..4f516f74 100644 --- a/base/tools/psb_zspasb.f90 +++ b/base/tools/psb_zspasb.f90 @@ -42,13 +42,9 @@ ! upd - character(optional). How will the matrix be updated? ! psb_upd_srch_ Simple strategy ! psb_upd_perm_ Permutation(more memory) -! dupl - integer(optional). Duplicate coefficient handling: -! psb_dupl_ovwrt_ overwrite -! psb_dupl_add_ add -! psb_dupl_err_ raise an error. ! ! -subroutine psb_zspasb(a,desc_a, info, afmt, upd, dupl, mold) +subroutine psb_zspasb(a,desc_a, info, afmt, upd, mold) use psb_base_mod, psb_protect_name => psb_zspasb use psb_sort_mod use psi_mod @@ -56,16 +52,16 @@ subroutine psb_zspasb(a,desc_a, info, afmt, upd, dupl, mold) !...Parameters.... - type(psb_zspmat_type), intent (inout) :: a + type(psb_zspmat_type), intent (inout) :: a type(psb_desc_type), intent(inout) :: desc_a - integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_),optional, intent(in) :: dupl, upd - character(len=*), optional, intent(in) :: afmt + integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), optional, intent(in) :: upd + character(len=*), optional, intent(in) :: afmt class(psb_z_base_sparse_mat), intent(in), optional :: mold !....Locals.... type(psb_ctxt_type) :: ctxt integer(psb_ipk_) :: np,me, err_act - integer(psb_ipk_) :: n_row,n_col + integer(psb_ipk_) :: n_row,n_col, dupl_ integer(psb_ipk_) :: debug_level, debug_unit character(len=20) :: name, ch_err class(psb_i_base_vect_type), allocatable :: ivm @@ -100,8 +96,8 @@ subroutine psb_zspasb(a,desc_a, info, afmt, upd, dupl, mold) !check on errors encountered in psdspins - - if (a%is_bld()) then + if (a%is_bld()) then + dupl_ = a%get_dupl() ! ! First case: we come from a fresh build. ! @@ -140,7 +136,7 @@ subroutine psb_zspasb(a,desc_a, info, afmt, upd, dupl, mold) end block end if call a%set_ncols(desc_a%get_local_cols()) - call a%cscnv(info,type=afmt,dupl=dupl, mold=mold) + call a%cscnv(info,type=afmt,mold=mold,dupl=dupl_) else if (a%is_upd()) then if (a%is_remote_build()) then !write(0,*) me,name,' Size of rmta:',a%rmta%get_nzeros() diff --git a/cbind/base/psb_c_tools_cbind_mod.F90 b/cbind/base/psb_c_tools_cbind_mod.F90 index 4eb23742..8346dc14 100644 --- a/cbind/base/psb_c_tools_cbind_mod.F90 +++ b/cbind/base/psb_c_tools_cbind_mod.F90 @@ -5,10 +5,11 @@ module psb_c_tools_cbind_mod use psb_objhandle_mod use psb_base_string_cbind_mod use psb_base_tools_cbind_mod - + contains - function psb_c_cgeall(xh,cdh) bind(c) result(res) + ! Should define geall_opt with DUPL argument + function psb_c_cgeall(xh,cdh) bind(c) result(res) implicit none integer(psb_c_ipk_) :: res @@ -101,7 +102,7 @@ contains end function psb_c_cgefree - function psb_c_cgeins(nz,irw,val,xh,cdh) bind(c) result(res) + function psb_c_cgeins(nz,irw,val,xh,cdh) bind(c) result(res) implicit none integer(psb_c_ipk_) :: res @@ -131,10 +132,10 @@ contains ixb = psb_c_get_index_base() if (ixb == 1) then call psb_geins(nz,irw(1:nz),val(1:nz),& - & xp,descp,info, dupl=psb_dupl_ovwrt_) + & xp,descp,info) else call psb_geins(nz,(irw(1:nz)+(1-ixb)),val(1:nz),& - & xp,descp,info, dupl=psb_dupl_ovwrt_) + & xp,descp,info) end if res = min(0,info) @@ -142,47 +143,6 @@ contains return end function psb_c_cgeins - - function psb_c_cgeins_add(nz,irw,val,xh,cdh) bind(c) result(res) - - implicit none - integer(psb_c_ipk_) :: res - integer(psb_c_ipk_), value :: nz - integer(psb_c_lpk_) :: irw(*) - complex(c_float_complex) :: val(*) - type(psb_c_cvector) :: xh - type(psb_c_descriptor) :: cdh - - type(psb_desc_type), pointer :: descp - type(psb_c_vect_type), pointer :: xp - integer(psb_c_ipk_) :: ixb, info - - res = -1 - if (c_associated(cdh%item)) then - call c_f_pointer(cdh%item,descp) - else - return - end if - if (c_associated(xh%item)) then - call c_f_pointer(xh%item,xp) - else - return - end if - - ixb = psb_c_get_index_base() - if (ixb == 1) then - call psb_geins(nz,irw(1:nz),val(1:nz),& - & xp,descp,info, dupl=psb_dupl_add_) - else - call psb_geins(nz,(irw(1:nz)+(1-ixb)),val(1:nz),& - & xp,descp,info, dupl=psb_dupl_add_) - end if - res = min(0,info) - - return - end function psb_c_cgeins_add - - function psb_c_cspall(mh,cdh) bind(c) result(res) implicit none @@ -301,7 +261,7 @@ contains #if 0 - function psb_c_cspasb_opt(mh,cdh,afmt,upd,dupl) bind(c) result(res) + function psb_c_cspasb_opt(mh,cdh,afmt,upd) bind(c) result(res) #ifdef HAVE_LIBRSB use psb_c_rsb_mat_mod @@ -310,7 +270,7 @@ contains integer(psb_c_ipk_) :: res integer(psb_c_ipk_), value :: cdh, mh,upd,dupl character(c_char) :: afmt(*) - integer(psb_c_ipk_) :: info,n, fdupl + integer(psb_c_ipk_) :: info,n character(len=5) :: fafmt #ifdef HAVE_LIBRSB type(psb_c_rsb_sparse_mat) :: arsb @@ -327,11 +287,11 @@ contains #ifdef HAVE_LIBRSB case('RSB') call psb_spasb(double_spmat_pool(mh)%item,descriptor_pool(cdh)%item,info,& - & upd=upd,dupl=dupl,mold=arsb) + & upd=upd,mold=arsb) #endif case default call psb_spasb(double_spmat_pool(mh)%item,descriptor_pool(cdh)%item,info,& - & afmt=fafmt,upd=upd,dupl=dupl) + & afmt=fafmt,upd=upd) end select res = min(0,info) diff --git a/cbind/base/psb_d_tools_cbind_mod.F90 b/cbind/base/psb_d_tools_cbind_mod.F90 index 009e7b17..eb42dcb3 100644 --- a/cbind/base/psb_d_tools_cbind_mod.F90 +++ b/cbind/base/psb_d_tools_cbind_mod.F90 @@ -5,10 +5,11 @@ module psb_d_tools_cbind_mod use psb_objhandle_mod use psb_base_string_cbind_mod use psb_base_tools_cbind_mod - + contains - function psb_c_dgeall(xh,cdh) bind(c) result(res) + ! Should define geall_opt with DUPL argument + function psb_c_dgeall(xh,cdh) bind(c) result(res) implicit none integer(psb_c_ipk_) :: res @@ -101,7 +102,7 @@ contains end function psb_c_dgefree - function psb_c_dgeins(nz,irw,val,xh,cdh) bind(c) result(res) + function psb_c_dgeins(nz,irw,val,xh,cdh) bind(c) result(res) implicit none integer(psb_c_ipk_) :: res @@ -131,10 +132,10 @@ contains ixb = psb_c_get_index_base() if (ixb == 1) then call psb_geins(nz,irw(1:nz),val(1:nz),& - & xp,descp,info, dupl=psb_dupl_ovwrt_) + & xp,descp,info) else call psb_geins(nz,(irw(1:nz)+(1-ixb)),val(1:nz),& - & xp,descp,info, dupl=psb_dupl_ovwrt_) + & xp,descp,info) end if res = min(0,info) @@ -142,47 +143,6 @@ contains return end function psb_c_dgeins - - function psb_c_dgeins_add(nz,irw,val,xh,cdh) bind(c) result(res) - - implicit none - integer(psb_c_ipk_) :: res - integer(psb_c_ipk_), value :: nz - integer(psb_c_lpk_) :: irw(*) - real(c_double) :: val(*) - type(psb_c_dvector) :: xh - type(psb_c_descriptor) :: cdh - - type(psb_desc_type), pointer :: descp - type(psb_d_vect_type), pointer :: xp - integer(psb_c_ipk_) :: ixb, info - - res = -1 - if (c_associated(cdh%item)) then - call c_f_pointer(cdh%item,descp) - else - return - end if - if (c_associated(xh%item)) then - call c_f_pointer(xh%item,xp) - else - return - end if - - ixb = psb_c_get_index_base() - if (ixb == 1) then - call psb_geins(nz,irw(1:nz),val(1:nz),& - & xp,descp,info, dupl=psb_dupl_add_) - else - call psb_geins(nz,(irw(1:nz)+(1-ixb)),val(1:nz),& - & xp,descp,info, dupl=psb_dupl_add_) - end if - res = min(0,info) - - return - end function psb_c_dgeins_add - - function psb_c_dspall(mh,cdh) bind(c) result(res) implicit none @@ -301,7 +261,7 @@ contains #if 0 - function psb_c_dspasb_opt(mh,cdh,afmt,upd,dupl) bind(c) result(res) + function psb_c_dspasb_opt(mh,cdh,afmt,upd) bind(c) result(res) #ifdef HAVE_LIBRSB use psb_d_rsb_mat_mod @@ -310,7 +270,7 @@ contains integer(psb_c_ipk_) :: res integer(psb_c_ipk_), value :: cdh, mh,upd,dupl character(c_char) :: afmt(*) - integer(psb_c_ipk_) :: info,n, fdupl + integer(psb_c_ipk_) :: info,n character(len=5) :: fafmt #ifdef HAVE_LIBRSB type(psb_d_rsb_sparse_mat) :: arsb @@ -327,11 +287,11 @@ contains #ifdef HAVE_LIBRSB case('RSB') call psb_spasb(double_spmat_pool(mh)%item,descriptor_pool(cdh)%item,info,& - & upd=upd,dupl=dupl,mold=arsb) + & upd=upd,mold=arsb) #endif case default call psb_spasb(double_spmat_pool(mh)%item,descriptor_pool(cdh)%item,info,& - & afmt=fafmt,upd=upd,dupl=dupl) + & afmt=fafmt,upd=upd) end select res = min(0,info) diff --git a/cbind/base/psb_s_tools_cbind_mod.F90 b/cbind/base/psb_s_tools_cbind_mod.F90 index f6cef638..fc3e57f0 100644 --- a/cbind/base/psb_s_tools_cbind_mod.F90 +++ b/cbind/base/psb_s_tools_cbind_mod.F90 @@ -5,10 +5,11 @@ module psb_s_tools_cbind_mod use psb_objhandle_mod use psb_base_string_cbind_mod use psb_base_tools_cbind_mod - + contains - function psb_c_sgeall(xh,cdh) bind(c) result(res) + ! Should define geall_opt with DUPL argument + function psb_c_sgeall(xh,cdh) bind(c) result(res) implicit none integer(psb_c_ipk_) :: res @@ -101,7 +102,7 @@ contains end function psb_c_sgefree - function psb_c_sgeins(nz,irw,val,xh,cdh) bind(c) result(res) + function psb_c_sgeins(nz,irw,val,xh,cdh) bind(c) result(res) implicit none integer(psb_c_ipk_) :: res @@ -131,10 +132,10 @@ contains ixb = psb_c_get_index_base() if (ixb == 1) then call psb_geins(nz,irw(1:nz),val(1:nz),& - & xp,descp,info, dupl=psb_dupl_ovwrt_) + & xp,descp,info) else call psb_geins(nz,(irw(1:nz)+(1-ixb)),val(1:nz),& - & xp,descp,info, dupl=psb_dupl_ovwrt_) + & xp,descp,info) end if res = min(0,info) @@ -142,47 +143,6 @@ contains return end function psb_c_sgeins - - function psb_c_sgeins_add(nz,irw,val,xh,cdh) bind(c) result(res) - - implicit none - integer(psb_c_ipk_) :: res - integer(psb_c_ipk_), value :: nz - integer(psb_c_lpk_) :: irw(*) - real(c_float) :: val(*) - type(psb_c_svector) :: xh - type(psb_c_descriptor) :: cdh - - type(psb_desc_type), pointer :: descp - type(psb_s_vect_type), pointer :: xp - integer(psb_c_ipk_) :: ixb, info - - res = -1 - if (c_associated(cdh%item)) then - call c_f_pointer(cdh%item,descp) - else - return - end if - if (c_associated(xh%item)) then - call c_f_pointer(xh%item,xp) - else - return - end if - - ixb = psb_c_get_index_base() - if (ixb == 1) then - call psb_geins(nz,irw(1:nz),val(1:nz),& - & xp,descp,info, dupl=psb_dupl_add_) - else - call psb_geins(nz,(irw(1:nz)+(1-ixb)),val(1:nz),& - & xp,descp,info, dupl=psb_dupl_add_) - end if - res = min(0,info) - - return - end function psb_c_sgeins_add - - function psb_c_sspall(mh,cdh) bind(c) result(res) implicit none @@ -301,7 +261,7 @@ contains #if 0 - function psb_c_sspasb_opt(mh,cdh,afmt,upd,dupl) bind(c) result(res) + function psb_c_sspasb_opt(mh,cdh,afmt,upd) bind(c) result(res) #ifdef HAVE_LIBRSB use psb_s_rsb_mat_mod @@ -310,7 +270,7 @@ contains integer(psb_c_ipk_) :: res integer(psb_c_ipk_), value :: cdh, mh,upd,dupl character(c_char) :: afmt(*) - integer(psb_c_ipk_) :: info,n, fdupl + integer(psb_c_ipk_) :: info,n character(len=5) :: fafmt #ifdef HAVE_LIBRSB type(psb_s_rsb_sparse_mat) :: arsb @@ -327,11 +287,11 @@ contains #ifdef HAVE_LIBRSB case('RSB') call psb_spasb(double_spmat_pool(mh)%item,descriptor_pool(cdh)%item,info,& - & upd=upd,dupl=dupl,mold=arsb) + & upd=upd,mold=arsb) #endif case default call psb_spasb(double_spmat_pool(mh)%item,descriptor_pool(cdh)%item,info,& - & afmt=fafmt,upd=upd,dupl=dupl) + & afmt=fafmt,upd=upd) end select res = min(0,info) diff --git a/cbind/base/psb_z_tools_cbind_mod.F90 b/cbind/base/psb_z_tools_cbind_mod.F90 index 03827a3f..13cdf3c1 100644 --- a/cbind/base/psb_z_tools_cbind_mod.F90 +++ b/cbind/base/psb_z_tools_cbind_mod.F90 @@ -5,10 +5,11 @@ module psb_z_tools_cbind_mod use psb_objhandle_mod use psb_base_string_cbind_mod use psb_base_tools_cbind_mod - + contains - function psb_c_zgeall(xh,cdh) bind(c) result(res) + ! Should define geall_opt with DUPL argument + function psb_c_zgeall(xh,cdh) bind(c) result(res) implicit none integer(psb_c_ipk_) :: res @@ -101,7 +102,7 @@ contains end function psb_c_zgefree - function psb_c_zgeins(nz,irw,val,xh,cdh) bind(c) result(res) + function psb_c_zgeins(nz,irw,val,xh,cdh) bind(c) result(res) implicit none integer(psb_c_ipk_) :: res @@ -131,10 +132,10 @@ contains ixb = psb_c_get_index_base() if (ixb == 1) then call psb_geins(nz,irw(1:nz),val(1:nz),& - & xp,descp,info, dupl=psb_dupl_ovwrt_) + & xp,descp,info) else call psb_geins(nz,(irw(1:nz)+(1-ixb)),val(1:nz),& - & xp,descp,info, dupl=psb_dupl_ovwrt_) + & xp,descp,info) end if res = min(0,info) @@ -142,47 +143,6 @@ contains return end function psb_c_zgeins - - function psb_c_zgeins_add(nz,irw,val,xh,cdh) bind(c) result(res) - - implicit none - integer(psb_c_ipk_) :: res - integer(psb_c_ipk_), value :: nz - integer(psb_c_lpk_) :: irw(*) - complex(c_double_complex) :: val(*) - type(psb_c_zvector) :: xh - type(psb_c_descriptor) :: cdh - - type(psb_desc_type), pointer :: descp - type(psb_z_vect_type), pointer :: xp - integer(psb_c_ipk_) :: ixb, info - - res = -1 - if (c_associated(cdh%item)) then - call c_f_pointer(cdh%item,descp) - else - return - end if - if (c_associated(xh%item)) then - call c_f_pointer(xh%item,xp) - else - return - end if - - ixb = psb_c_get_index_base() - if (ixb == 1) then - call psb_geins(nz,irw(1:nz),val(1:nz),& - & xp,descp,info, dupl=psb_dupl_add_) - else - call psb_geins(nz,(irw(1:nz)+(1-ixb)),val(1:nz),& - & xp,descp,info, dupl=psb_dupl_add_) - end if - res = min(0,info) - - return - end function psb_c_zgeins_add - - function psb_c_zspall(mh,cdh) bind(c) result(res) implicit none @@ -301,7 +261,7 @@ contains #if 0 - function psb_c_zspasb_opt(mh,cdh,afmt,upd,dupl) bind(c) result(res) + function psb_c_zspasb_opt(mh,cdh,afmt,upd) bind(c) result(res) #ifdef HAVE_LIBRSB use psb_z_rsb_mat_mod @@ -310,7 +270,7 @@ contains integer(psb_c_ipk_) :: res integer(psb_c_ipk_), value :: cdh, mh,upd,dupl character(c_char) :: afmt(*) - integer(psb_c_ipk_) :: info,n, fdupl + integer(psb_c_ipk_) :: info,n character(len=5) :: fafmt #ifdef HAVE_LIBRSB type(psb_z_rsb_sparse_mat) :: arsb @@ -327,11 +287,11 @@ contains #ifdef HAVE_LIBRSB case('RSB') call psb_spasb(double_spmat_pool(mh)%item,descriptor_pool(cdh)%item,info,& - & upd=upd,dupl=dupl,mold=arsb) + & upd=upd,mold=arsb) #endif case default call psb_spasb(double_spmat_pool(mh)%item,descriptor_pool(cdh)%item,info,& - & afmt=fafmt,upd=upd,dupl=dupl) + & afmt=fafmt,upd=upd) end select res = min(0,info) diff --git a/test/pargen/psb_d_pde2d.F90 b/test/pargen/psb_d_pde2d.F90 index 5fa77373..6da97828 100644 --- a/test/pargen/psb_d_pde2d.F90 +++ b/test/pargen/psb_d_pde2d.F90 @@ -401,10 +401,12 @@ contains end select - if (info == psb_success_) call psb_spall(a,desc_a,info,nnz=nnz) + if (info == psb_success_) call psb_spall(a,desc_a,info,nnz=nnz,& + & bldmode=psb_matbld_remote_,dupl=psb_dupl_add_) ! define rhs from boundary conditions; also build initial guess if (info == psb_success_) call psb_geall(xv,desc_a,info) - if (info == psb_success_) call psb_geall(bv,desc_a,info) + if (info == psb_success_) call psb_geall(bv,desc_a,info,& + & bldmode=psb_matbld_remote_,dupl=psb_dupl_add_) call psb_barrier(ctxt) talc = psb_wtime()-t0 @@ -522,9 +524,9 @@ contains t1 = psb_wtime() if (info == psb_success_) then if (present(amold)) then - call psb_spasb(a,desc_a,info,dupl=psb_dupl_err_,mold=amold) + call psb_spasb(a,desc_a,info,mold=amold) else - call psb_spasb(a,desc_a,info,dupl=psb_dupl_err_,afmt=afmt) + call psb_spasb(a,desc_a,info,afmt=afmt) end if end if call psb_barrier(ctxt) diff --git a/test/pargen/psb_d_pde3d.F90 b/test/pargen/psb_d_pde3d.F90 index 2384d410..887c08d9 100644 --- a/test/pargen/psb_d_pde3d.F90 +++ b/test/pargen/psb_d_pde3d.F90 @@ -431,10 +431,11 @@ contains if (info == psb_success_) call psb_spall(a,desc_a,info,nnz=nnz, & - & bldmode=psb_matbld_remote_) + & bldmode=psb_matbld_remote_,dupl=psb_dupl_add_) ! define rhs from boundary conditions; also build initial guess if (info == psb_success_) call psb_geall(xv,desc_a,info) - if (info == psb_success_) call psb_geall(bv,desc_a,info) + if (info == psb_success_) call psb_geall(bv,desc_a,info,& + & bldmode=psb_matbld_remote_,dupl=psb_dupl_add_) call psb_barrier(ctxt) talc = psb_wtime()-t0 @@ -679,9 +680,9 @@ contains t1 = psb_wtime() if (info == psb_success_) then if (present(amold)) then - call psb_spasb(a,desc_a,info,dupl=psb_dupl_add_,mold=amold) + call psb_spasb(a,desc_a,info,mold=amold) else - call psb_spasb(a,desc_a,info,dupl=psb_dupl_add_,afmt=afmt) + call psb_spasb(a,desc_a,info,afmt=afmt) end if end if call psb_barrier(ctxt) diff --git a/test/pargen/psb_s_pde2d.F90 b/test/pargen/psb_s_pde2d.F90 index ad6f0d81..664d5d08 100644 --- a/test/pargen/psb_s_pde2d.F90 +++ b/test/pargen/psb_s_pde2d.F90 @@ -401,10 +401,12 @@ contains end select - if (info == psb_success_) call psb_spall(a,desc_a,info,nnz=nnz) + if (info == psb_success_) call psb_spall(a,desc_a,info,nnz=nnz,& + & bldmode=psb_matbld_remote_,dupl=psb_dupl_add_) ! define rhs from boundary conditions; also build initial guess if (info == psb_success_) call psb_geall(xv,desc_a,info) - if (info == psb_success_) call psb_geall(bv,desc_a,info) + if (info == psb_success_) call psb_geall(bv,desc_a,info,& + & bldmode=psb_matbld_remote_,dupl=psb_dupl_add_) call psb_barrier(ctxt) talc = psb_wtime()-t0 @@ -522,9 +524,9 @@ contains t1 = psb_wtime() if (info == psb_success_) then if (present(amold)) then - call psb_spasb(a,desc_a,info,dupl=psb_dupl_err_,mold=amold) + call psb_spasb(a,desc_a,info,mold=amold) else - call psb_spasb(a,desc_a,info,dupl=psb_dupl_err_,afmt=afmt) + call psb_spasb(a,desc_a,info,afmt=afmt) end if end if call psb_barrier(ctxt) diff --git a/test/pargen/psb_s_pde3d.F90 b/test/pargen/psb_s_pde3d.F90 index 96dbd5db..d61aba6d 100644 --- a/test/pargen/psb_s_pde3d.F90 +++ b/test/pargen/psb_s_pde3d.F90 @@ -431,10 +431,11 @@ contains if (info == psb_success_) call psb_spall(a,desc_a,info,nnz=nnz, & - & bldmode=psb_matbld_remote_) + & bldmode=psb_matbld_remote_,dupl=psb_dupl_add_) ! define rhs from boundary conditions; also build initial guess if (info == psb_success_) call psb_geall(xv,desc_a,info) - if (info == psb_success_) call psb_geall(bv,desc_a,info) + if (info == psb_success_) call psb_geall(bv,desc_a,info,& + & bldmode=psb_matbld_remote_,dupl=psb_dupl_add_) call psb_barrier(ctxt) talc = psb_wtime()-t0 @@ -679,9 +680,9 @@ contains t1 = psb_wtime() if (info == psb_success_) then if (present(amold)) then - call psb_spasb(a,desc_a,info,dupl=psb_dupl_add_,mold=amold) + call psb_spasb(a,desc_a,info,mold=amold) else - call psb_spasb(a,desc_a,info,dupl=psb_dupl_add_,afmt=afmt) + call psb_spasb(a,desc_a,info,afmt=afmt) end if end if call psb_barrier(ctxt) diff --git a/util/psb_c_mat_dist_impl.f90 b/util/psb_c_mat_dist_impl.f90 index 970dfc47..e358bf25 100644 --- a/util/psb_c_mat_dist_impl.f90 +++ b/util/psb_c_mat_dist_impl.f90 @@ -170,7 +170,7 @@ subroutine psb_cmatdist(a_glob, a, ctxt, desc_a,& call psb_errpush(info,name,a_err=ch_err) goto 9999 end if - call psb_spall(a,desc_a,info,nnz=((nnzero+np-1)/np)) + call psb_spall(a,desc_a,info,nnz=((nnzero+np-1)/np),dupl=psb_dupl_err_) if(info /= psb_success_) then info=psb_err_from_subroutine_ ch_err='psb_spall' @@ -332,7 +332,7 @@ subroutine psb_cmatdist(a_glob, a, ctxt, desc_a,& call psb_barrier(ctxt) t2 = psb_wtime() - call psb_spasb(a,desc_a,info,dupl=psb_dupl_err_,afmt=fmt,mold=mold) + call psb_spasb(a,desc_a,info,afmt=fmt,mold=mold) t3 = psb_wtime() if(info /= psb_success_)then info=psb_err_from_subroutine_ @@ -507,7 +507,7 @@ subroutine psb_lcmatdist(a_glob, a, ctxt, desc_a,& goto 9999 end if inz = ((nnzero+np-1)/np) - call psb_spall(a,desc_a,info,nnz=inz) + call psb_spall(a,desc_a,info,nnz=inz,dupl=psb_dupl_err_) if(info /= psb_success_) then info=psb_err_from_subroutine_ ch_err='psb_spall' @@ -671,7 +671,7 @@ subroutine psb_lcmatdist(a_glob, a, ctxt, desc_a,& call psb_barrier(ctxt) t2 = psb_wtime() - call psb_spasb(a,desc_a,info,dupl=psb_dupl_err_,afmt=fmt,mold=mold) + call psb_spasb(a,desc_a,info,afmt=fmt,mold=mold) t3 = psb_wtime() if(info /= psb_success_)then info=psb_err_from_subroutine_ diff --git a/util/psb_d_mat_dist_impl.f90 b/util/psb_d_mat_dist_impl.f90 index c71141f0..3c683254 100644 --- a/util/psb_d_mat_dist_impl.f90 +++ b/util/psb_d_mat_dist_impl.f90 @@ -170,7 +170,7 @@ subroutine psb_dmatdist(a_glob, a, ctxt, desc_a,& call psb_errpush(info,name,a_err=ch_err) goto 9999 end if - call psb_spall(a,desc_a,info,nnz=((nnzero+np-1)/np)) + call psb_spall(a,desc_a,info,nnz=((nnzero+np-1)/np),dupl=psb_dupl_err_) if(info /= psb_success_) then info=psb_err_from_subroutine_ ch_err='psb_spall' @@ -332,7 +332,7 @@ subroutine psb_dmatdist(a_glob, a, ctxt, desc_a,& call psb_barrier(ctxt) t2 = psb_wtime() - call psb_spasb(a,desc_a,info,dupl=psb_dupl_err_,afmt=fmt,mold=mold) + call psb_spasb(a,desc_a,info,afmt=fmt,mold=mold) t3 = psb_wtime() if(info /= psb_success_)then info=psb_err_from_subroutine_ @@ -507,7 +507,7 @@ subroutine psb_ldmatdist(a_glob, a, ctxt, desc_a,& goto 9999 end if inz = ((nnzero+np-1)/np) - call psb_spall(a,desc_a,info,nnz=inz) + call psb_spall(a,desc_a,info,nnz=inz,dupl=psb_dupl_err_) if(info /= psb_success_) then info=psb_err_from_subroutine_ ch_err='psb_spall' @@ -671,7 +671,7 @@ subroutine psb_ldmatdist(a_glob, a, ctxt, desc_a,& call psb_barrier(ctxt) t2 = psb_wtime() - call psb_spasb(a,desc_a,info,dupl=psb_dupl_err_,afmt=fmt,mold=mold) + call psb_spasb(a,desc_a,info,afmt=fmt,mold=mold) t3 = psb_wtime() if(info /= psb_success_)then info=psb_err_from_subroutine_ diff --git a/util/psb_s_mat_dist_impl.f90 b/util/psb_s_mat_dist_impl.f90 index 713c3d9c..6c8bd792 100644 --- a/util/psb_s_mat_dist_impl.f90 +++ b/util/psb_s_mat_dist_impl.f90 @@ -170,7 +170,7 @@ subroutine psb_smatdist(a_glob, a, ctxt, desc_a,& call psb_errpush(info,name,a_err=ch_err) goto 9999 end if - call psb_spall(a,desc_a,info,nnz=((nnzero+np-1)/np)) + call psb_spall(a,desc_a,info,nnz=((nnzero+np-1)/np),dupl=psb_dupl_err_) if(info /= psb_success_) then info=psb_err_from_subroutine_ ch_err='psb_spall' @@ -332,7 +332,7 @@ subroutine psb_smatdist(a_glob, a, ctxt, desc_a,& call psb_barrier(ctxt) t2 = psb_wtime() - call psb_spasb(a,desc_a,info,dupl=psb_dupl_err_,afmt=fmt,mold=mold) + call psb_spasb(a,desc_a,info,afmt=fmt,mold=mold) t3 = psb_wtime() if(info /= psb_success_)then info=psb_err_from_subroutine_ @@ -507,7 +507,7 @@ subroutine psb_lsmatdist(a_glob, a, ctxt, desc_a,& goto 9999 end if inz = ((nnzero+np-1)/np) - call psb_spall(a,desc_a,info,nnz=inz) + call psb_spall(a,desc_a,info,nnz=inz,dupl=psb_dupl_err_) if(info /= psb_success_) then info=psb_err_from_subroutine_ ch_err='psb_spall' @@ -671,7 +671,7 @@ subroutine psb_lsmatdist(a_glob, a, ctxt, desc_a,& call psb_barrier(ctxt) t2 = psb_wtime() - call psb_spasb(a,desc_a,info,dupl=psb_dupl_err_,afmt=fmt,mold=mold) + call psb_spasb(a,desc_a,info,afmt=fmt,mold=mold) t3 = psb_wtime() if(info /= psb_success_)then info=psb_err_from_subroutine_ diff --git a/util/psb_z_mat_dist_impl.f90 b/util/psb_z_mat_dist_impl.f90 index 2768b21e..5c83c66c 100644 --- a/util/psb_z_mat_dist_impl.f90 +++ b/util/psb_z_mat_dist_impl.f90 @@ -170,7 +170,7 @@ subroutine psb_zmatdist(a_glob, a, ctxt, desc_a,& call psb_errpush(info,name,a_err=ch_err) goto 9999 end if - call psb_spall(a,desc_a,info,nnz=((nnzero+np-1)/np)) + call psb_spall(a,desc_a,info,nnz=((nnzero+np-1)/np),dupl=psb_dupl_err_) if(info /= psb_success_) then info=psb_err_from_subroutine_ ch_err='psb_spall' @@ -332,7 +332,7 @@ subroutine psb_zmatdist(a_glob, a, ctxt, desc_a,& call psb_barrier(ctxt) t2 = psb_wtime() - call psb_spasb(a,desc_a,info,dupl=psb_dupl_err_,afmt=fmt,mold=mold) + call psb_spasb(a,desc_a,info,afmt=fmt,mold=mold) t3 = psb_wtime() if(info /= psb_success_)then info=psb_err_from_subroutine_ @@ -507,7 +507,7 @@ subroutine psb_lzmatdist(a_glob, a, ctxt, desc_a,& goto 9999 end if inz = ((nnzero+np-1)/np) - call psb_spall(a,desc_a,info,nnz=inz) + call psb_spall(a,desc_a,info,nnz=inz,dupl=psb_dupl_err_) if(info /= psb_success_) then info=psb_err_from_subroutine_ ch_err='psb_spall' @@ -671,7 +671,7 @@ subroutine psb_lzmatdist(a_glob, a, ctxt, desc_a,& call psb_barrier(ctxt) t2 = psb_wtime() - call psb_spasb(a,desc_a,info,dupl=psb_dupl_err_,afmt=fmt,mold=mold) + call psb_spasb(a,desc_a,info,afmt=fmt,mold=mold) t3 = psb_wtime() if(info /= psb_success_)then info=psb_err_from_subroutine_ From fafe1285162b5b46c8fe2f47f3dada0c97228da5 Mon Sep 17 00:00:00 2001 From: Salvatore Filippone Date: Fri, 1 Apr 2022 17:59:54 +0200 Subject: [PATCH 21/28] Finish vector assembly with REMOTE_BUILD. To be tested. --- base/internals/psi_indx_map_fnd_owner.F90 | 4 +- base/modules/desc/psb_gen_block_map_mod.F90 | 4 +- base/modules/desc/psb_glist_map_mod.f90 | 2 +- base/modules/desc/psb_indx_map_mod.f90 | 12 +- base/modules/desc/psb_repl_map_mod.f90 | 4 +- base/modules/serial/psb_c_vect_mod.F90 | 53 ++-- base/modules/serial/psb_d_vect_mod.F90 | 53 ++-- base/modules/serial/psb_i_vect_mod.F90 | 53 ++-- base/modules/serial/psb_l_vect_mod.F90 | 53 ++-- base/modules/serial/psb_s_vect_mod.F90 | 53 ++-- base/modules/serial/psb_z_vect_mod.F90 | 53 ++-- base/modules/tools/psb_c_tools_mod.F90 | 10 +- base/modules/tools/psb_d_tools_mod.F90 | 10 +- base/modules/tools/psb_s_tools_mod.F90 | 10 +- base/modules/tools/psb_z_tools_mod.F90 | 10 +- base/tools/psb_c_remote_mat.F90 | 288 ++++++++------------ base/tools/psb_callc.f90 | 5 +- base/tools/psb_casb.f90 | 18 +- base/tools/psb_cins.f90 | 39 ++- base/tools/psb_cspasb.f90 | 3 +- base/tools/psb_d_remote_mat.F90 | 288 ++++++++------------ base/tools/psb_dallc.f90 | 5 +- base/tools/psb_dasb.f90 | 18 +- base/tools/psb_dins.f90 | 39 ++- base/tools/psb_dspasb.f90 | 3 +- base/tools/psb_iallc.f90 | 5 +- base/tools/psb_iasb.f90 | 18 +- base/tools/psb_iins.f90 | 39 ++- base/tools/psb_lallc.f90 | 5 +- base/tools/psb_lasb.f90 | 18 +- base/tools/psb_lins.f90 | 39 ++- base/tools/psb_s_remote_mat.F90 | 288 ++++++++------------ base/tools/psb_sallc.f90 | 5 +- base/tools/psb_sasb.f90 | 18 +- base/tools/psb_sins.f90 | 39 ++- base/tools/psb_sspasb.f90 | 3 +- base/tools/psb_z_remote_mat.F90 | 288 ++++++++------------ base/tools/psb_zallc.f90 | 5 +- base/tools/psb_zasb.f90 | 18 +- base/tools/psb_zins.f90 | 39 ++- base/tools/psb_zspasb.f90 | 3 +- 41 files changed, 1021 insertions(+), 899 deletions(-) diff --git a/base/internals/psi_indx_map_fnd_owner.F90 b/base/internals/psi_indx_map_fnd_owner.F90 index dc9ab7f1..157b73a1 100644 --- a/base/internals/psi_indx_map_fnd_owner.F90 +++ b/base/internals/psi_indx_map_fnd_owner.F90 @@ -66,9 +66,9 @@ subroutine psi_indx_map_fnd_owner(idx,iprc,idxmap,info,adj) #ifdef MPI_H include 'mpif.h' #endif - integer(psb_lpk_), intent(in) :: idx(:) + integer(psb_lpk_), intent(in) :: idx(:) integer(psb_ipk_), allocatable, intent(out) :: iprc(:) - class(psb_indx_map), intent(inout) :: idxmap + class(psb_indx_map), intent(in) :: idxmap integer(psb_ipk_), intent(out) :: info integer(psb_ipk_), optional, allocatable, intent(out) :: adj(:) diff --git a/base/modules/desc/psb_gen_block_map_mod.F90 b/base/modules/desc/psb_gen_block_map_mod.F90 index 795a9d8f..dfb47b61 100644 --- a/base/modules/desc/psb_gen_block_map_mod.F90 +++ b/base/modules/desc/psb_gen_block_map_mod.F90 @@ -1057,8 +1057,8 @@ contains implicit none integer(psb_lpk_), intent(in) :: idx(:) integer(psb_ipk_), allocatable, intent(out) :: iprc(:) - class(psb_gen_block_map), intent(inout) :: idxmap - integer(psb_ipk_), intent(out) :: info + class(psb_gen_block_map), intent(in) :: idxmap + integer(psb_ipk_), intent(out) :: info integer(psb_ipk_), optional, allocatable, intent(out) :: adj(:) type(psb_ctxt_type) :: ctxt integer(psb_ipk_) :: iam, np, nv, ip, i, nadj diff --git a/base/modules/desc/psb_glist_map_mod.f90 b/base/modules/desc/psb_glist_map_mod.f90 index 5f260d7e..4ddcdaca 100644 --- a/base/modules/desc/psb_glist_map_mod.f90 +++ b/base/modules/desc/psb_glist_map_mod.f90 @@ -157,7 +157,7 @@ contains implicit none integer(psb_lpk_), intent(in) :: idx(:) integer(psb_ipk_), allocatable, intent(out) :: iprc(:) - class(psb_glist_map), intent(inout) :: idxmap + class(psb_glist_map), intent(in) :: idxmap integer(psb_ipk_), intent(out) :: info integer(psb_ipk_), optional, allocatable, intent(out) :: adj(:) diff --git a/base/modules/desc/psb_indx_map_mod.f90 b/base/modules/desc/psb_indx_map_mod.f90 index 046a7f1f..7753db23 100644 --- a/base/modules/desc/psb_indx_map_mod.f90 +++ b/base/modules/desc/psb_indx_map_mod.f90 @@ -273,8 +273,8 @@ module psb_indx_map_mod implicit none integer(psb_lpk_), intent(in) :: idx(:) integer(psb_ipk_), allocatable, intent(out) :: iprc(:) - class(psb_indx_map), intent(inout) :: idxmap - integer(psb_ipk_), intent(out) :: info + class(psb_indx_map), intent(in) :: idxmap + integer(psb_ipk_), intent(out) :: info integer(psb_ipk_), optional, allocatable, intent(out) :: adj(:) end subroutine psi_indx_map_fnd_owner end interface @@ -310,8 +310,8 @@ module psb_indx_map_mod integer(psb_lpk_), intent(in) :: idx(:) integer(psb_ipk_), allocatable, intent(out) :: iprc(:) integer(psb_ipk_), allocatable, intent(out) :: ladj(:) - class(psb_indx_map), intent(inout) :: idxmap - integer(psb_ipk_), intent(out) :: info + class(psb_indx_map), intent(in) :: idxmap + integer(psb_ipk_), intent(out) :: info end subroutine psi_graph_fnd_owner end interface @@ -1521,7 +1521,7 @@ contains use psb_error_mod use psb_realloc_mod implicit none - class(psb_indx_map), intent(inout) :: idxmap + class(psb_indx_map), intent(in) :: idxmap integer(psb_ipk_), intent(in) :: xin integer(psb_ipk_), intent(out) :: xout integer(psb_ipk_), intent(out) :: info @@ -1550,7 +1550,7 @@ contains use psb_error_mod use psb_realloc_mod implicit none - class(psb_indx_map), intent(inout) :: idxmap + class(psb_indx_map), intent(in) :: idxmap integer(psb_ipk_), intent(in) :: xin(:) integer(psb_ipk_), intent(out) :: xout(:) integer(psb_ipk_), intent(out) :: info diff --git a/base/modules/desc/psb_repl_map_mod.f90 b/base/modules/desc/psb_repl_map_mod.f90 index f360f6c3..fe51b7b1 100644 --- a/base/modules/desc/psb_repl_map_mod.f90 +++ b/base/modules/desc/psb_repl_map_mod.f90 @@ -701,8 +701,8 @@ contains implicit none integer(psb_lpk_), intent(in) :: idx(:) integer(psb_ipk_), allocatable, intent(out) :: iprc(:) - class(psb_repl_map), intent(inout) :: idxmap - integer(psb_ipk_), intent(out) :: info + class(psb_repl_map), intent(in) :: idxmap + integer(psb_ipk_), intent(out) :: info integer(psb_ipk_), optional, allocatable, intent(out) :: adj(:) integer(psb_ipk_) :: nv type(psb_ctxt_type) :: ctxt diff --git a/base/modules/serial/psb_c_vect_mod.F90 b/base/modules/serial/psb_c_vect_mod.F90 index a2620af5..3bd6f5ad 100644 --- a/base/modules/serial/psb_c_vect_mod.F90 +++ b/base/modules/serial/psb_c_vect_mod.F90 @@ -39,6 +39,7 @@ ! module psb_c_vect_mod + use psb_realloc_mod use psb_c_base_vect_mod use psb_i_vect_mod @@ -56,7 +57,9 @@ module psb_c_vect_mod procedure, pass(x) :: is_remote_build => c_vect_is_remote_build procedure, pass(x) :: set_remote_build => c_vect_set_remote_build procedure, pass(x) :: get_dupl => c_vect_get_dupl - procedure, pass(x) :: set_dupl => c_vect_set_dupl + procedure, pass(x) :: set_dupl => c_vect_set_dupl + procedure, pass(x) :: get_nrmv => c_vect_get_nrmv + procedure, pass(x) :: set_nrmv => c_vect_set_nrmv procedure, pass(x) :: all => c_vect_all procedure, pass(x) :: reall => c_vect_reall procedure, pass(x) :: zero => c_vect_zero @@ -156,7 +159,7 @@ module psb_c_vect_mod & c_vect_is_dev, c_vect_is_sync, c_vect_set_host, & & c_vect_set_dev, c_vect_set_sync, & & c_vect_set_remote_build, c_is_remote_build, & - & c_vect_set_dupl, c_get_dupl + & c_vect_set_dupl, c_get_dupl, c_vect_set_nrmv, c_get_nrmv private :: c_vect_dot_v, c_vect_dot_a, c_vect_axpby_v, c_vect_axpby_a, & & c_vect_mlt_v, c_vect_mlt_a, c_vect_mlt_a_2, c_vect_mlt_v_2, & @@ -178,7 +181,6 @@ module psb_c_vect_mod contains - function c_vect_get_dupl(x) result(res) implicit none class(psb_c_vect_type), intent(in) :: x @@ -197,6 +199,21 @@ contains x%dupl = psb_dupl_def_ end if end subroutine c_vect_set_dupl + + function c_vect_get_nrmv(x) result(res) + implicit none + class(psb_c_vect_type), intent(in) :: x + integer(psb_ipk_) :: res + res = x%nrmv + end function c_vect_get_nrmv + + subroutine c_vect_set_nrmv(x,val) + implicit none + class(psb_c_vect_type), intent(inout) :: x + integer(psb_ipk_), intent(in) :: val + + x%nrmv = val + end subroutine c_vect_set_nrmv function c_vect_is_remote_build(x) result(res) @@ -410,14 +427,13 @@ contains if (allocated(x%v)) res = x%v%get_fmt() end function c_vect_get_fmt - subroutine c_vect_all(n, x, info, mold,mode) + subroutine c_vect_all(n, x, info, mold) implicit none integer(psb_ipk_), intent(in) :: n class(psb_c_vect_type), intent(inout) :: x integer(psb_ipk_), intent(out) :: info class(psb_c_base_vect_type), intent(in), optional :: mold - integer(psb_ipk_), intent(in), optional :: mode if (allocated(x%v)) & & call x%free(info) @@ -432,9 +448,6 @@ contains else info = psb_err_alloc_dealloc_ end if - x%nrmv = 0 - x%remote_build = psb_matbld_noremote_ - if (present(mode)) call x%set_remote_build(mode) end subroutine c_vect_all subroutine c_vect_reall(n, x, info) @@ -522,44 +535,44 @@ contains end subroutine c_vect_free - subroutine c_vect_ins_a(n,irl,val,dupl,x,info) + subroutine c_vect_ins_a(n,irl,val,x,info) use psi_serial_mod implicit none class(psb_c_vect_type), intent(inout) :: x - integer(psb_ipk_), intent(in) :: n, dupl + integer(psb_ipk_), intent(in) :: n integer(psb_ipk_), intent(in) :: irl(:) complex(psb_spk_), intent(in) :: val(:) integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_) :: i + integer(psb_ipk_) :: i, dupl info = 0 if (.not.allocated(x%v)) then info = psb_err_invalid_vect_state_ return end if - + dupl = x%get_dupl() call x%v%ins(n,irl,val,dupl,info) end subroutine c_vect_ins_a - subroutine c_vect_ins_v(n,irl,val,dupl,x,info) + subroutine c_vect_ins_v(n,irl,val,x,info) use psi_serial_mod implicit none class(psb_c_vect_type), intent(inout) :: x - integer(psb_ipk_), intent(in) :: n, dupl + integer(psb_ipk_), intent(in) :: n class(psb_i_vect_type), intent(inout) :: irl class(psb_c_vect_type), intent(inout) :: val integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_) :: i + integer(psb_ipk_) :: i, dupl info = 0 if (.not.(allocated(x%v).and.allocated(irl%v).and.allocated(val%v))) then info = psb_err_invalid_vect_state_ return end if - + dupl = x%get_dupl() call x%v%ins(n,irl%v,val%v,dupl,info) end subroutine c_vect_ins_v @@ -1670,23 +1683,23 @@ contains end subroutine c_vect_free - subroutine c_vect_ins(n,irl,val,dupl,x,info) + subroutine c_vect_ins(n,irl,val,x,info) use psi_serial_mod implicit none class(psb_c_multivect_type), intent(inout) :: x - integer(psb_ipk_), intent(in) :: n, dupl + integer(psb_ipk_), intent(in) :: n integer(psb_ipk_), intent(in) :: irl(:) complex(psb_spk_), intent(in) :: val(:,:) integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_) :: i + integer(psb_ipk_) :: i, dupl info = 0 if (.not.allocated(x%v)) then info = psb_err_invalid_vect_state_ return end if - + dupl = x%get_dupl() call x%v%ins(n,irl,val,dupl,info) end subroutine c_vect_ins diff --git a/base/modules/serial/psb_d_vect_mod.F90 b/base/modules/serial/psb_d_vect_mod.F90 index 68aba8aa..21f9a7b7 100644 --- a/base/modules/serial/psb_d_vect_mod.F90 +++ b/base/modules/serial/psb_d_vect_mod.F90 @@ -39,6 +39,7 @@ ! module psb_d_vect_mod + use psb_realloc_mod use psb_d_base_vect_mod use psb_i_vect_mod @@ -56,7 +57,9 @@ module psb_d_vect_mod procedure, pass(x) :: is_remote_build => d_vect_is_remote_build procedure, pass(x) :: set_remote_build => d_vect_set_remote_build procedure, pass(x) :: get_dupl => d_vect_get_dupl - procedure, pass(x) :: set_dupl => d_vect_set_dupl + procedure, pass(x) :: set_dupl => d_vect_set_dupl + procedure, pass(x) :: get_nrmv => d_vect_get_nrmv + procedure, pass(x) :: set_nrmv => d_vect_set_nrmv procedure, pass(x) :: all => d_vect_all procedure, pass(x) :: reall => d_vect_reall procedure, pass(x) :: zero => d_vect_zero @@ -163,7 +166,7 @@ module psb_d_vect_mod & d_vect_is_dev, d_vect_is_sync, d_vect_set_host, & & d_vect_set_dev, d_vect_set_sync, & & d_vect_set_remote_build, d_is_remote_build, & - & d_vect_set_dupl, d_get_dupl + & d_vect_set_dupl, d_get_dupl, d_vect_set_nrmv, d_get_nrmv private :: d_vect_dot_v, d_vect_dot_a, d_vect_axpby_v, d_vect_axpby_a, & & d_vect_mlt_v, d_vect_mlt_a, d_vect_mlt_a_2, d_vect_mlt_v_2, & @@ -185,7 +188,6 @@ module psb_d_vect_mod contains - function d_vect_get_dupl(x) result(res) implicit none class(psb_d_vect_type), intent(in) :: x @@ -204,6 +206,21 @@ contains x%dupl = psb_dupl_def_ end if end subroutine d_vect_set_dupl + + function d_vect_get_nrmv(x) result(res) + implicit none + class(psb_d_vect_type), intent(in) :: x + integer(psb_ipk_) :: res + res = x%nrmv + end function d_vect_get_nrmv + + subroutine d_vect_set_nrmv(x,val) + implicit none + class(psb_d_vect_type), intent(inout) :: x + integer(psb_ipk_), intent(in) :: val + + x%nrmv = val + end subroutine d_vect_set_nrmv function d_vect_is_remote_build(x) result(res) @@ -417,14 +434,13 @@ contains if (allocated(x%v)) res = x%v%get_fmt() end function d_vect_get_fmt - subroutine d_vect_all(n, x, info, mold,mode) + subroutine d_vect_all(n, x, info, mold) implicit none integer(psb_ipk_), intent(in) :: n class(psb_d_vect_type), intent(inout) :: x integer(psb_ipk_), intent(out) :: info class(psb_d_base_vect_type), intent(in), optional :: mold - integer(psb_ipk_), intent(in), optional :: mode if (allocated(x%v)) & & call x%free(info) @@ -439,9 +455,6 @@ contains else info = psb_err_alloc_dealloc_ end if - x%nrmv = 0 - x%remote_build = psb_matbld_noremote_ - if (present(mode)) call x%set_remote_build(mode) end subroutine d_vect_all subroutine d_vect_reall(n, x, info) @@ -529,44 +542,44 @@ contains end subroutine d_vect_free - subroutine d_vect_ins_a(n,irl,val,dupl,x,info) + subroutine d_vect_ins_a(n,irl,val,x,info) use psi_serial_mod implicit none class(psb_d_vect_type), intent(inout) :: x - integer(psb_ipk_), intent(in) :: n, dupl + integer(psb_ipk_), intent(in) :: n integer(psb_ipk_), intent(in) :: irl(:) real(psb_dpk_), intent(in) :: val(:) integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_) :: i + integer(psb_ipk_) :: i, dupl info = 0 if (.not.allocated(x%v)) then info = psb_err_invalid_vect_state_ return end if - + dupl = x%get_dupl() call x%v%ins(n,irl,val,dupl,info) end subroutine d_vect_ins_a - subroutine d_vect_ins_v(n,irl,val,dupl,x,info) + subroutine d_vect_ins_v(n,irl,val,x,info) use psi_serial_mod implicit none class(psb_d_vect_type), intent(inout) :: x - integer(psb_ipk_), intent(in) :: n, dupl + integer(psb_ipk_), intent(in) :: n class(psb_i_vect_type), intent(inout) :: irl class(psb_d_vect_type), intent(inout) :: val integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_) :: i + integer(psb_ipk_) :: i, dupl info = 0 if (.not.(allocated(x%v).and.allocated(irl%v).and.allocated(val%v))) then info = psb_err_invalid_vect_state_ return end if - + dupl = x%get_dupl() call x%v%ins(n,irl%v,val%v,dupl,info) end subroutine d_vect_ins_v @@ -1749,23 +1762,23 @@ contains end subroutine d_vect_free - subroutine d_vect_ins(n,irl,val,dupl,x,info) + subroutine d_vect_ins(n,irl,val,x,info) use psi_serial_mod implicit none class(psb_d_multivect_type), intent(inout) :: x - integer(psb_ipk_), intent(in) :: n, dupl + integer(psb_ipk_), intent(in) :: n integer(psb_ipk_), intent(in) :: irl(:) real(psb_dpk_), intent(in) :: val(:,:) integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_) :: i + integer(psb_ipk_) :: i, dupl info = 0 if (.not.allocated(x%v)) then info = psb_err_invalid_vect_state_ return end if - + dupl = x%get_dupl() call x%v%ins(n,irl,val,dupl,info) end subroutine d_vect_ins diff --git a/base/modules/serial/psb_i_vect_mod.F90 b/base/modules/serial/psb_i_vect_mod.F90 index c4cd3178..aa14d903 100644 --- a/base/modules/serial/psb_i_vect_mod.F90 +++ b/base/modules/serial/psb_i_vect_mod.F90 @@ -39,6 +39,7 @@ ! module psb_i_vect_mod + use psb_realloc_mod use psb_i_base_vect_mod type psb_i_vect_type @@ -55,7 +56,9 @@ module psb_i_vect_mod procedure, pass(x) :: is_remote_build => i_vect_is_remote_build procedure, pass(x) :: set_remote_build => i_vect_set_remote_build procedure, pass(x) :: get_dupl => i_vect_get_dupl - procedure, pass(x) :: set_dupl => i_vect_set_dupl + procedure, pass(x) :: set_dupl => i_vect_set_dupl + procedure, pass(x) :: get_nrmv => i_vect_get_nrmv + procedure, pass(x) :: set_nrmv => i_vect_set_nrmv procedure, pass(x) :: all => i_vect_all procedure, pass(x) :: reall => i_vect_reall procedure, pass(x) :: zero => i_vect_zero @@ -108,7 +111,7 @@ module psb_i_vect_mod & i_vect_is_dev, i_vect_is_sync, i_vect_set_host, & & i_vect_set_dev, i_vect_set_sync, & & i_vect_set_remote_build, i_is_remote_build, & - & i_vect_set_dupl, i_get_dupl + & i_vect_set_dupl, i_get_dupl, i_vect_set_nrmv, i_get_nrmv class(psb_i_base_vect_type), allocatable, target,& @@ -125,7 +128,6 @@ module psb_i_vect_mod contains - function i_vect_get_dupl(x) result(res) implicit none class(psb_i_vect_type), intent(in) :: x @@ -144,6 +146,21 @@ contains x%dupl = psb_dupl_def_ end if end subroutine i_vect_set_dupl + + function i_vect_get_nrmv(x) result(res) + implicit none + class(psb_i_vect_type), intent(in) :: x + integer(psb_ipk_) :: res + res = x%nrmv + end function i_vect_get_nrmv + + subroutine i_vect_set_nrmv(x,val) + implicit none + class(psb_i_vect_type), intent(inout) :: x + integer(psb_ipk_), intent(in) :: val + + x%nrmv = val + end subroutine i_vect_set_nrmv function i_vect_is_remote_build(x) result(res) @@ -357,14 +374,13 @@ contains if (allocated(x%v)) res = x%v%get_fmt() end function i_vect_get_fmt - subroutine i_vect_all(n, x, info, mold,mode) + subroutine i_vect_all(n, x, info, mold) implicit none integer(psb_ipk_), intent(in) :: n class(psb_i_vect_type), intent(inout) :: x integer(psb_ipk_), intent(out) :: info class(psb_i_base_vect_type), intent(in), optional :: mold - integer(psb_ipk_), intent(in), optional :: mode if (allocated(x%v)) & & call x%free(info) @@ -379,9 +395,6 @@ contains else info = psb_err_alloc_dealloc_ end if - x%nrmv = 0 - x%remote_build = psb_matbld_noremote_ - if (present(mode)) call x%set_remote_build(mode) end subroutine i_vect_all subroutine i_vect_reall(n, x, info) @@ -469,44 +482,44 @@ contains end subroutine i_vect_free - subroutine i_vect_ins_a(n,irl,val,dupl,x,info) + subroutine i_vect_ins_a(n,irl,val,x,info) use psi_serial_mod implicit none class(psb_i_vect_type), intent(inout) :: x - integer(psb_ipk_), intent(in) :: n, dupl + integer(psb_ipk_), intent(in) :: n integer(psb_ipk_), intent(in) :: irl(:) integer(psb_ipk_), intent(in) :: val(:) integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_) :: i + integer(psb_ipk_) :: i, dupl info = 0 if (.not.allocated(x%v)) then info = psb_err_invalid_vect_state_ return end if - + dupl = x%get_dupl() call x%v%ins(n,irl,val,dupl,info) end subroutine i_vect_ins_a - subroutine i_vect_ins_v(n,irl,val,dupl,x,info) + subroutine i_vect_ins_v(n,irl,val,x,info) use psi_serial_mod implicit none class(psb_i_vect_type), intent(inout) :: x - integer(psb_ipk_), intent(in) :: n, dupl + integer(psb_ipk_), intent(in) :: n class(psb_i_vect_type), intent(inout) :: irl class(psb_i_vect_type), intent(inout) :: val integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_) :: i + integer(psb_ipk_) :: i, dupl info = 0 if (.not.(allocated(x%v).and.allocated(irl%v).and.allocated(val%v))) then info = psb_err_invalid_vect_state_ return end if - + dupl = x%get_dupl() call x%v%ins(n,irl%v,val%v,dupl,info) end subroutine i_vect_ins_v @@ -1027,23 +1040,23 @@ contains end subroutine i_vect_free - subroutine i_vect_ins(n,irl,val,dupl,x,info) + subroutine i_vect_ins(n,irl,val,x,info) use psi_serial_mod implicit none class(psb_i_multivect_type), intent(inout) :: x - integer(psb_ipk_), intent(in) :: n, dupl + integer(psb_ipk_), intent(in) :: n integer(psb_ipk_), intent(in) :: irl(:) integer(psb_ipk_), intent(in) :: val(:,:) integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_) :: i + integer(psb_ipk_) :: i, dupl info = 0 if (.not.allocated(x%v)) then info = psb_err_invalid_vect_state_ return end if - + dupl = x%get_dupl() call x%v%ins(n,irl,val,dupl,info) end subroutine i_vect_ins diff --git a/base/modules/serial/psb_l_vect_mod.F90 b/base/modules/serial/psb_l_vect_mod.F90 index b3579b17..de444e8d 100644 --- a/base/modules/serial/psb_l_vect_mod.F90 +++ b/base/modules/serial/psb_l_vect_mod.F90 @@ -39,6 +39,7 @@ ! module psb_l_vect_mod + use psb_realloc_mod use psb_l_base_vect_mod use psb_i_vect_mod @@ -56,7 +57,9 @@ module psb_l_vect_mod procedure, pass(x) :: is_remote_build => l_vect_is_remote_build procedure, pass(x) :: set_remote_build => l_vect_set_remote_build procedure, pass(x) :: get_dupl => l_vect_get_dupl - procedure, pass(x) :: set_dupl => l_vect_set_dupl + procedure, pass(x) :: set_dupl => l_vect_set_dupl + procedure, pass(x) :: get_nrmv => l_vect_get_nrmv + procedure, pass(x) :: set_nrmv => l_vect_set_nrmv procedure, pass(x) :: all => l_vect_all procedure, pass(x) :: reall => l_vect_reall procedure, pass(x) :: zero => l_vect_zero @@ -109,7 +112,7 @@ module psb_l_vect_mod & l_vect_is_dev, l_vect_is_sync, l_vect_set_host, & & l_vect_set_dev, l_vect_set_sync, & & l_vect_set_remote_build, l_is_remote_build, & - & l_vect_set_dupl, l_get_dupl + & l_vect_set_dupl, l_get_dupl, l_vect_set_nrmv, l_get_nrmv class(psb_l_base_vect_type), allocatable, target,& @@ -126,7 +129,6 @@ module psb_l_vect_mod contains - function l_vect_get_dupl(x) result(res) implicit none class(psb_l_vect_type), intent(in) :: x @@ -145,6 +147,21 @@ contains x%dupl = psb_dupl_def_ end if end subroutine l_vect_set_dupl + + function l_vect_get_nrmv(x) result(res) + implicit none + class(psb_l_vect_type), intent(in) :: x + integer(psb_ipk_) :: res + res = x%nrmv + end function l_vect_get_nrmv + + subroutine l_vect_set_nrmv(x,val) + implicit none + class(psb_l_vect_type), intent(inout) :: x + integer(psb_ipk_), intent(in) :: val + + x%nrmv = val + end subroutine l_vect_set_nrmv function l_vect_is_remote_build(x) result(res) @@ -358,14 +375,13 @@ contains if (allocated(x%v)) res = x%v%get_fmt() end function l_vect_get_fmt - subroutine l_vect_all(n, x, info, mold,mode) + subroutine l_vect_all(n, x, info, mold) implicit none integer(psb_ipk_), intent(in) :: n class(psb_l_vect_type), intent(inout) :: x integer(psb_ipk_), intent(out) :: info class(psb_l_base_vect_type), intent(in), optional :: mold - integer(psb_ipk_), intent(in), optional :: mode if (allocated(x%v)) & & call x%free(info) @@ -380,9 +396,6 @@ contains else info = psb_err_alloc_dealloc_ end if - x%nrmv = 0 - x%remote_build = psb_matbld_noremote_ - if (present(mode)) call x%set_remote_build(mode) end subroutine l_vect_all subroutine l_vect_reall(n, x, info) @@ -470,44 +483,44 @@ contains end subroutine l_vect_free - subroutine l_vect_ins_a(n,irl,val,dupl,x,info) + subroutine l_vect_ins_a(n,irl,val,x,info) use psi_serial_mod implicit none class(psb_l_vect_type), intent(inout) :: x - integer(psb_ipk_), intent(in) :: n, dupl + integer(psb_ipk_), intent(in) :: n integer(psb_ipk_), intent(in) :: irl(:) integer(psb_lpk_), intent(in) :: val(:) integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_) :: i + integer(psb_ipk_) :: i, dupl info = 0 if (.not.allocated(x%v)) then info = psb_err_invalid_vect_state_ return end if - + dupl = x%get_dupl() call x%v%ins(n,irl,val,dupl,info) end subroutine l_vect_ins_a - subroutine l_vect_ins_v(n,irl,val,dupl,x,info) + subroutine l_vect_ins_v(n,irl,val,x,info) use psi_serial_mod implicit none class(psb_l_vect_type), intent(inout) :: x - integer(psb_ipk_), intent(in) :: n, dupl + integer(psb_ipk_), intent(in) :: n class(psb_i_vect_type), intent(inout) :: irl class(psb_l_vect_type), intent(inout) :: val integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_) :: i + integer(psb_ipk_) :: i, dupl info = 0 if (.not.(allocated(x%v).and.allocated(irl%v).and.allocated(val%v))) then info = psb_err_invalid_vect_state_ return end if - + dupl = x%get_dupl() call x%v%ins(n,irl%v,val%v,dupl,info) end subroutine l_vect_ins_v @@ -1028,23 +1041,23 @@ contains end subroutine l_vect_free - subroutine l_vect_ins(n,irl,val,dupl,x,info) + subroutine l_vect_ins(n,irl,val,x,info) use psi_serial_mod implicit none class(psb_l_multivect_type), intent(inout) :: x - integer(psb_ipk_), intent(in) :: n, dupl + integer(psb_ipk_), intent(in) :: n integer(psb_ipk_), intent(in) :: irl(:) integer(psb_lpk_), intent(in) :: val(:,:) integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_) :: i + integer(psb_ipk_) :: i, dupl info = 0 if (.not.allocated(x%v)) then info = psb_err_invalid_vect_state_ return end if - + dupl = x%get_dupl() call x%v%ins(n,irl,val,dupl,info) end subroutine l_vect_ins diff --git a/base/modules/serial/psb_s_vect_mod.F90 b/base/modules/serial/psb_s_vect_mod.F90 index c15c6606..9ad61752 100644 --- a/base/modules/serial/psb_s_vect_mod.F90 +++ b/base/modules/serial/psb_s_vect_mod.F90 @@ -39,6 +39,7 @@ ! module psb_s_vect_mod + use psb_realloc_mod use psb_s_base_vect_mod use psb_i_vect_mod @@ -56,7 +57,9 @@ module psb_s_vect_mod procedure, pass(x) :: is_remote_build => s_vect_is_remote_build procedure, pass(x) :: set_remote_build => s_vect_set_remote_build procedure, pass(x) :: get_dupl => s_vect_get_dupl - procedure, pass(x) :: set_dupl => s_vect_set_dupl + procedure, pass(x) :: set_dupl => s_vect_set_dupl + procedure, pass(x) :: get_nrmv => s_vect_get_nrmv + procedure, pass(x) :: set_nrmv => s_vect_set_nrmv procedure, pass(x) :: all => s_vect_all procedure, pass(x) :: reall => s_vect_reall procedure, pass(x) :: zero => s_vect_zero @@ -163,7 +166,7 @@ module psb_s_vect_mod & s_vect_is_dev, s_vect_is_sync, s_vect_set_host, & & s_vect_set_dev, s_vect_set_sync, & & s_vect_set_remote_build, s_is_remote_build, & - & s_vect_set_dupl, s_get_dupl + & s_vect_set_dupl, s_get_dupl, s_vect_set_nrmv, s_get_nrmv private :: s_vect_dot_v, s_vect_dot_a, s_vect_axpby_v, s_vect_axpby_a, & & s_vect_mlt_v, s_vect_mlt_a, s_vect_mlt_a_2, s_vect_mlt_v_2, & @@ -185,7 +188,6 @@ module psb_s_vect_mod contains - function s_vect_get_dupl(x) result(res) implicit none class(psb_s_vect_type), intent(in) :: x @@ -204,6 +206,21 @@ contains x%dupl = psb_dupl_def_ end if end subroutine s_vect_set_dupl + + function s_vect_get_nrmv(x) result(res) + implicit none + class(psb_s_vect_type), intent(in) :: x + integer(psb_ipk_) :: res + res = x%nrmv + end function s_vect_get_nrmv + + subroutine s_vect_set_nrmv(x,val) + implicit none + class(psb_s_vect_type), intent(inout) :: x + integer(psb_ipk_), intent(in) :: val + + x%nrmv = val + end subroutine s_vect_set_nrmv function s_vect_is_remote_build(x) result(res) @@ -417,14 +434,13 @@ contains if (allocated(x%v)) res = x%v%get_fmt() end function s_vect_get_fmt - subroutine s_vect_all(n, x, info, mold,mode) + subroutine s_vect_all(n, x, info, mold) implicit none integer(psb_ipk_), intent(in) :: n class(psb_s_vect_type), intent(inout) :: x integer(psb_ipk_), intent(out) :: info class(psb_s_base_vect_type), intent(in), optional :: mold - integer(psb_ipk_), intent(in), optional :: mode if (allocated(x%v)) & & call x%free(info) @@ -439,9 +455,6 @@ contains else info = psb_err_alloc_dealloc_ end if - x%nrmv = 0 - x%remote_build = psb_matbld_noremote_ - if (present(mode)) call x%set_remote_build(mode) end subroutine s_vect_all subroutine s_vect_reall(n, x, info) @@ -529,44 +542,44 @@ contains end subroutine s_vect_free - subroutine s_vect_ins_a(n,irl,val,dupl,x,info) + subroutine s_vect_ins_a(n,irl,val,x,info) use psi_serial_mod implicit none class(psb_s_vect_type), intent(inout) :: x - integer(psb_ipk_), intent(in) :: n, dupl + integer(psb_ipk_), intent(in) :: n integer(psb_ipk_), intent(in) :: irl(:) real(psb_spk_), intent(in) :: val(:) integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_) :: i + integer(psb_ipk_) :: i, dupl info = 0 if (.not.allocated(x%v)) then info = psb_err_invalid_vect_state_ return end if - + dupl = x%get_dupl() call x%v%ins(n,irl,val,dupl,info) end subroutine s_vect_ins_a - subroutine s_vect_ins_v(n,irl,val,dupl,x,info) + subroutine s_vect_ins_v(n,irl,val,x,info) use psi_serial_mod implicit none class(psb_s_vect_type), intent(inout) :: x - integer(psb_ipk_), intent(in) :: n, dupl + integer(psb_ipk_), intent(in) :: n class(psb_i_vect_type), intent(inout) :: irl class(psb_s_vect_type), intent(inout) :: val integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_) :: i + integer(psb_ipk_) :: i, dupl info = 0 if (.not.(allocated(x%v).and.allocated(irl%v).and.allocated(val%v))) then info = psb_err_invalid_vect_state_ return end if - + dupl = x%get_dupl() call x%v%ins(n,irl%v,val%v,dupl,info) end subroutine s_vect_ins_v @@ -1749,23 +1762,23 @@ contains end subroutine s_vect_free - subroutine s_vect_ins(n,irl,val,dupl,x,info) + subroutine s_vect_ins(n,irl,val,x,info) use psi_serial_mod implicit none class(psb_s_multivect_type), intent(inout) :: x - integer(psb_ipk_), intent(in) :: n, dupl + integer(psb_ipk_), intent(in) :: n integer(psb_ipk_), intent(in) :: irl(:) real(psb_spk_), intent(in) :: val(:,:) integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_) :: i + integer(psb_ipk_) :: i, dupl info = 0 if (.not.allocated(x%v)) then info = psb_err_invalid_vect_state_ return end if - + dupl = x%get_dupl() call x%v%ins(n,irl,val,dupl,info) end subroutine s_vect_ins diff --git a/base/modules/serial/psb_z_vect_mod.F90 b/base/modules/serial/psb_z_vect_mod.F90 index 7d2f3b9e..a962f5d0 100644 --- a/base/modules/serial/psb_z_vect_mod.F90 +++ b/base/modules/serial/psb_z_vect_mod.F90 @@ -39,6 +39,7 @@ ! module psb_z_vect_mod + use psb_realloc_mod use psb_z_base_vect_mod use psb_i_vect_mod @@ -56,7 +57,9 @@ module psb_z_vect_mod procedure, pass(x) :: is_remote_build => z_vect_is_remote_build procedure, pass(x) :: set_remote_build => z_vect_set_remote_build procedure, pass(x) :: get_dupl => z_vect_get_dupl - procedure, pass(x) :: set_dupl => z_vect_set_dupl + procedure, pass(x) :: set_dupl => z_vect_set_dupl + procedure, pass(x) :: get_nrmv => z_vect_get_nrmv + procedure, pass(x) :: set_nrmv => z_vect_set_nrmv procedure, pass(x) :: all => z_vect_all procedure, pass(x) :: reall => z_vect_reall procedure, pass(x) :: zero => z_vect_zero @@ -156,7 +159,7 @@ module psb_z_vect_mod & z_vect_is_dev, z_vect_is_sync, z_vect_set_host, & & z_vect_set_dev, z_vect_set_sync, & & z_vect_set_remote_build, z_is_remote_build, & - & z_vect_set_dupl, z_get_dupl + & z_vect_set_dupl, z_get_dupl, z_vect_set_nrmv, z_get_nrmv private :: z_vect_dot_v, z_vect_dot_a, z_vect_axpby_v, z_vect_axpby_a, & & z_vect_mlt_v, z_vect_mlt_a, z_vect_mlt_a_2, z_vect_mlt_v_2, & @@ -178,7 +181,6 @@ module psb_z_vect_mod contains - function z_vect_get_dupl(x) result(res) implicit none class(psb_z_vect_type), intent(in) :: x @@ -197,6 +199,21 @@ contains x%dupl = psb_dupl_def_ end if end subroutine z_vect_set_dupl + + function z_vect_get_nrmv(x) result(res) + implicit none + class(psb_z_vect_type), intent(in) :: x + integer(psb_ipk_) :: res + res = x%nrmv + end function z_vect_get_nrmv + + subroutine z_vect_set_nrmv(x,val) + implicit none + class(psb_z_vect_type), intent(inout) :: x + integer(psb_ipk_), intent(in) :: val + + x%nrmv = val + end subroutine z_vect_set_nrmv function z_vect_is_remote_build(x) result(res) @@ -410,14 +427,13 @@ contains if (allocated(x%v)) res = x%v%get_fmt() end function z_vect_get_fmt - subroutine z_vect_all(n, x, info, mold,mode) + subroutine z_vect_all(n, x, info, mold) implicit none integer(psb_ipk_), intent(in) :: n class(psb_z_vect_type), intent(inout) :: x integer(psb_ipk_), intent(out) :: info class(psb_z_base_vect_type), intent(in), optional :: mold - integer(psb_ipk_), intent(in), optional :: mode if (allocated(x%v)) & & call x%free(info) @@ -432,9 +448,6 @@ contains else info = psb_err_alloc_dealloc_ end if - x%nrmv = 0 - x%remote_build = psb_matbld_noremote_ - if (present(mode)) call x%set_remote_build(mode) end subroutine z_vect_all subroutine z_vect_reall(n, x, info) @@ -522,44 +535,44 @@ contains end subroutine z_vect_free - subroutine z_vect_ins_a(n,irl,val,dupl,x,info) + subroutine z_vect_ins_a(n,irl,val,x,info) use psi_serial_mod implicit none class(psb_z_vect_type), intent(inout) :: x - integer(psb_ipk_), intent(in) :: n, dupl + integer(psb_ipk_), intent(in) :: n integer(psb_ipk_), intent(in) :: irl(:) complex(psb_dpk_), intent(in) :: val(:) integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_) :: i + integer(psb_ipk_) :: i, dupl info = 0 if (.not.allocated(x%v)) then info = psb_err_invalid_vect_state_ return end if - + dupl = x%get_dupl() call x%v%ins(n,irl,val,dupl,info) end subroutine z_vect_ins_a - subroutine z_vect_ins_v(n,irl,val,dupl,x,info) + subroutine z_vect_ins_v(n,irl,val,x,info) use psi_serial_mod implicit none class(psb_z_vect_type), intent(inout) :: x - integer(psb_ipk_), intent(in) :: n, dupl + integer(psb_ipk_), intent(in) :: n class(psb_i_vect_type), intent(inout) :: irl class(psb_z_vect_type), intent(inout) :: val integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_) :: i + integer(psb_ipk_) :: i, dupl info = 0 if (.not.(allocated(x%v).and.allocated(irl%v).and.allocated(val%v))) then info = psb_err_invalid_vect_state_ return end if - + dupl = x%get_dupl() call x%v%ins(n,irl%v,val%v,dupl,info) end subroutine z_vect_ins_v @@ -1670,23 +1683,23 @@ contains end subroutine z_vect_free - subroutine z_vect_ins(n,irl,val,dupl,x,info) + subroutine z_vect_ins(n,irl,val,x,info) use psi_serial_mod implicit none class(psb_z_multivect_type), intent(inout) :: x - integer(psb_ipk_), intent(in) :: n, dupl + integer(psb_ipk_), intent(in) :: n integer(psb_ipk_), intent(in) :: irl(:) complex(psb_dpk_), intent(in) :: val(:,:) integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_) :: i + integer(psb_ipk_) :: i, dupl info = 0 if (.not.allocated(x%v)) then info = psb_err_invalid_vect_state_ return end if - + dupl = x%get_dupl() call x%v%ins(n,irl,val,dupl,info) end subroutine z_vect_ins diff --git a/base/modules/tools/psb_c_tools_mod.F90 b/base/modules/tools/psb_c_tools_mod.F90 index c6e06134..78ec8518 100644 --- a/base/modules/tools/psb_c_tools_mod.F90 +++ b/base/modules/tools/psb_c_tools_mod.F90 @@ -263,11 +263,15 @@ Module psb_c_tools_mod end interface interface psb_remote_vect - subroutine psb_c_remote_vect(v,desc_a, info) + subroutine psb_c_remote_vect(n,v,iv,desc_a,x,ix, info) import implicit none - type(psb_c_vect_type),Intent(inout) :: v - type(psb_desc_type),intent(in) :: desc_a + integer(psb_ipk_), intent(in) :: n + complex(psb_spk_), intent(in) :: v(:) + integer(psb_lpk_), intent(in) :: iv(:) + type(psb_desc_type),intent(in) :: desc_a + complex(psb_spk_), allocatable, intent(out) :: x(:) + integer(psb_lpk_), allocatable, intent(out) :: ix(:) integer(psb_ipk_), intent(out) :: info end subroutine psb_c_remote_vect end interface psb_remote_vect diff --git a/base/modules/tools/psb_d_tools_mod.F90 b/base/modules/tools/psb_d_tools_mod.F90 index 2c39bffd..30510123 100644 --- a/base/modules/tools/psb_d_tools_mod.F90 +++ b/base/modules/tools/psb_d_tools_mod.F90 @@ -263,11 +263,15 @@ Module psb_d_tools_mod end interface interface psb_remote_vect - subroutine psb_d_remote_vect(v,desc_a, info) + subroutine psb_d_remote_vect(n,v,iv,desc_a,x,ix, info) import implicit none - type(psb_d_vect_type),Intent(inout) :: v - type(psb_desc_type),intent(in) :: desc_a + integer(psb_ipk_), intent(in) :: n + real(psb_dpk_), intent(in) :: v(:) + integer(psb_lpk_), intent(in) :: iv(:) + type(psb_desc_type),intent(in) :: desc_a + real(psb_dpk_), allocatable, intent(out) :: x(:) + integer(psb_lpk_), allocatable, intent(out) :: ix(:) integer(psb_ipk_), intent(out) :: info end subroutine psb_d_remote_vect end interface psb_remote_vect diff --git a/base/modules/tools/psb_s_tools_mod.F90 b/base/modules/tools/psb_s_tools_mod.F90 index 98d8dd8e..72033781 100644 --- a/base/modules/tools/psb_s_tools_mod.F90 +++ b/base/modules/tools/psb_s_tools_mod.F90 @@ -263,11 +263,15 @@ Module psb_s_tools_mod end interface interface psb_remote_vect - subroutine psb_s_remote_vect(v,desc_a, info) + subroutine psb_s_remote_vect(n,v,iv,desc_a,x,ix, info) import implicit none - type(psb_s_vect_type),Intent(inout) :: v - type(psb_desc_type),intent(in) :: desc_a + integer(psb_ipk_), intent(in) :: n + real(psb_spk_), intent(in) :: v(:) + integer(psb_lpk_), intent(in) :: iv(:) + type(psb_desc_type),intent(in) :: desc_a + real(psb_spk_), allocatable, intent(out) :: x(:) + integer(psb_lpk_), allocatable, intent(out) :: ix(:) integer(psb_ipk_), intent(out) :: info end subroutine psb_s_remote_vect end interface psb_remote_vect diff --git a/base/modules/tools/psb_z_tools_mod.F90 b/base/modules/tools/psb_z_tools_mod.F90 index 04960560..c96737b1 100644 --- a/base/modules/tools/psb_z_tools_mod.F90 +++ b/base/modules/tools/psb_z_tools_mod.F90 @@ -263,11 +263,15 @@ Module psb_z_tools_mod end interface interface psb_remote_vect - subroutine psb_z_remote_vect(v,desc_a, info) + subroutine psb_z_remote_vect(n,v,iv,desc_a,x,ix, info) import implicit none - type(psb_z_vect_type),Intent(inout) :: v - type(psb_desc_type),intent(in) :: desc_a + integer(psb_ipk_), intent(in) :: n + complex(psb_dpk_), intent(in) :: v(:) + integer(psb_lpk_), intent(in) :: iv(:) + type(psb_desc_type),intent(in) :: desc_a + complex(psb_dpk_), allocatable, intent(out) :: x(:) + integer(psb_lpk_), allocatable, intent(out) :: ix(:) integer(psb_ipk_), intent(out) :: info end subroutine psb_z_remote_vect end interface psb_remote_vect diff --git a/base/tools/psb_c_remote_mat.F90 b/base/tools/psb_c_remote_mat.F90 index 612c92dc..b66c615b 100644 --- a/base/tools/psb_c_remote_mat.F90 +++ b/base/tools/psb_c_remote_mat.F90 @@ -90,8 +90,7 @@ Subroutine psb_lc_remote_mat(a,desc_a,b,info) type(psb_ctxt_type) :: ctxt integer(psb_ipk_) :: np,me integer(psb_ipk_) :: counter, proc, i, n_el_send,n_el_recv, & - & n_elem, j, ipx,mat_recv, idxs,idxr,& - & data_,totxch,nxs, nxr, ncg + & n_elem, j, ipx,idxs,idxr integer(psb_lpk_) :: r, k, irmin, irmax, icmin, icmax, iszs, iszr, & & lidx, l1, lnr, lnc, lnnz, idx, ngtz, tot_elem integer(psb_lpk_) :: nz,nouth @@ -140,14 +139,14 @@ Subroutine psb_lc_remote_mat(a,desc_a,b,info) nz = a%get_nzeros() - allocate(ila(nz)) + !allocate(ila(nz)) !write(0,*) me,name,' size :',nz,size(ila) - call desc_a%g2l(a%ia(1:nz),ila(1:nz),info,owned=.false.) - nouth = count(ila(1:nz)<0) + !call desc_a%g2l(a%ia(1:nz),ila(1:nz),info,owned=.false.) + !nouth = count(ila(1:nz)<0) !write(0,*) me,name,' Count out of halo :',nouth - call psb_max(ctxt,nouth) - if ((nouth/=0).and.(me==0)) & - & write(0,*) 'Warning: would require reinit of DESC_A' + !call psb_max(ctxt,nouth) + !if ((nouth/=0).and.(me==0)) & + ! & write(0,*) 'Warning: would require reinit of DESC_A' call desc_a%indxmap%fnd_owner(a%ia(1:nz),iprc,info) @@ -277,7 +276,7 @@ Subroutine psb_lc_remote_mat(a,desc_a,b,info) End Subroutine psb_lc_remote_mat -subroutine psb_c_remote_vect(v,desc_a, info) +subroutine psb_c_remote_vect(n,v,iv,desc_a,x,ix, info) use psb_base_mod, psb_protect_name => psb_c_remote_vect #ifdef MPI_MOD @@ -287,29 +286,25 @@ subroutine psb_c_remote_vect(v,desc_a, info) #ifdef MPI_H include 'mpif.h' #endif - - type(psb_c_vect_type),Intent(inout) :: v - type(psb_desc_type),intent(in) :: desc_a - integer(psb_ipk_), intent(out) :: info - + integer(psb_ipk_), intent(in) :: n + complex(psb_spk_), Intent(in) :: v(:) + integer(psb_lpk_), Intent(in) :: iv(:) + type(psb_desc_type),intent(in) :: desc_a + complex(psb_spk_), allocatable, intent(out) :: x(:) + integer(psb_lpk_), allocatable, intent(out) :: ix(:) + integer(psb_ipk_), intent(out) :: info ! ...local scalars.... type(psb_ctxt_type) :: ctxt integer(psb_ipk_) :: np,me - integer(psb_ipk_) :: counter, proc, i, n_el_send,n_el_recv, & - & n_elem, j, ipx,mat_recv, idxs,idxr,& - & data_,totxch,nxs, nxr, ncg, dupl_ - integer(psb_lpk_) :: r, k, irmin, irmax, icmin, icmax, iszs, iszr, & - & lidx, l1, lnr, lnc, lnnz, idx, ngtz, tot_elem - integer(psb_lpk_) :: nz,nouth + integer(psb_ipk_) :: counter, proc, i, & + & j, idxs,idxr, k, iszs, iszr integer(psb_ipk_) :: nrcvs, nsnds integer(psb_mpk_) :: icomm, minfo integer(psb_mpk_), allocatable :: brvindx(:), & - & rvsz(:), bsdindx(:),sdsz(:), sdsi(:), rvsi(:) - integer(psb_lpk_), allocatable :: iasnd(:), jasnd(:) + & rvsz(:), bsdindx(:), sdsz(:), sdsi(:), rvsi(:) + integer(psb_lpk_), allocatable :: lsnd(:) complex(psb_spk_), allocatable :: valsnd(:) - integer(psb_ipk_), allocatable :: ila(:), iprc(:) - logical :: rowcnv_,colcnv_,rowscale_,colscale_ - character(len=5) :: outfmt_ + integer(psb_ipk_), allocatable :: iprc(:) integer(psb_ipk_) :: debug_level, debug_unit, err_act character(len=20) :: name, ch_err @@ -327,150 +322,111 @@ subroutine psb_c_remote_vect(v,desc_a, info) Call psb_info(ctxt, me, np) - dupl_ = v%get_dupl() if (debug_level >= psb_debug_outer_) & & write(debug_unit,*) me,' ',trim(name),': Start' write(0,*) me, 'X_remote_vect implementation to be completed ' -!!$ call b%free() -!!$ -!!$ Allocate(rvsz(np),sdsz(np),sdsi(np),rvsi(np),brvindx(np+1),& -!!$ & bsdindx(np+1), acoo,stat=info) -!!$ -!!$ if (info /= psb_success_) then -!!$ info=psb_err_alloc_dealloc_ -!!$ call psb_errpush(info,name) -!!$ goto 9999 -!!$ end if -!!$ -!!$ -!!$ nz = a%get_nzeros() -!!$ allocate(ila(nz)) -!!$ !write(0,*) me,name,' size :',nz,size(ila) -!!$ call desc_a%g2l(a%ia(1:nz),ila(1:nz),info,owned=.false.) -!!$ nouth = count(ila(1:nz)<0) -!!$ !write(0,*) me,name,' Count out of halo :',nouth -!!$ call psb_max(ctxt,nouth) -!!$ if ((nouth/=0).and.(me==0)) & -!!$ & write(0,*) 'Warning: would require reinit of DESC_A' -!!$ -!!$ call desc_a%indxmap%fnd_owner(a%ia(1:nz),iprc,info) -!!$ -!!$ icomm = desc_a%get_mpic() -!!$ sdsz(:)=0 -!!$ rvsz(:)=0 -!!$ sdsi(:)=0 -!!$ rvsi(:)=0 -!!$ ipx = 1 -!!$ brvindx(:) = 0 -!!$ bsdindx(:) = 0 -!!$ counter=1 -!!$ idx = 0 -!!$ idxs = 0 -!!$ idxr = 0 -!!$ do i=1,nz -!!$ if (iprc(i) >=0) then -!!$ sdsz(iprc(i)+1) = sdsz(iprc(i)+1) +1 -!!$ else -!!$ write(0,*)me,name,' Error from fnd_owner: ',iprc(i) -!!$ end if -!!$ end do -!!$ call mpi_alltoall(sdsz,1,psb_mpi_mpk_,& -!!$ & rvsz,1,psb_mpi_mpk_,icomm,minfo) -!!$ if (minfo /= psb_success_) then -!!$ info=psb_err_from_subroutine_ -!!$ call psb_errpush(info,name,a_err='mpi_alltoall') -!!$ goto 9999 -!!$ end if -!!$ !write(0,*)me,name,' sdsz ',sdsz(:),' rvsz:',rvsz(:) -!!$ nsnds = count(sdsz /= 0) -!!$ nrcvs = count(rvsz /= 0) -!!$ idxs = 0 -!!$ idxr = 0 -!!$ counter = 1 -!!$ Do proc=0,np-1 -!!$ bsdindx(proc+1) = idxs -!!$ idxs = idxs + sdsz(proc+1) -!!$ brvindx(proc+1) = idxr -!!$ idxr = idxr + rvsz(proc+1) -!!$ Enddo -!!$ -!!$ iszs = sum(sdsz) -!!$ iszr = sum(rvsz) -!!$ call acoo%allocate(desc_a%get_global_rows(),desc_a%get_global_cols(),iszr) -!!$ if (psb_errstatus_fatal()) then -!!$ write(0,*) 'Error from acoo%allocate ' -!!$ info = 4010 -!!$ goto 9999 -!!$ end if -!!$ if (debug_level >= psb_debug_outer_)& -!!$ & write(debug_unit,*) me,' ',trim(name),': Sizes:',acoo%get_size(),& -!!$ & ' Send:',sdsz(:),' Receive:',rvsz(:) -!!$ !write(debug_unit,*) me,' ',trim(name),': ',info -!!$ if (info == psb_success_) call psb_ensure_size(max(iszs,1),iasnd,info) -!!$ !write(debug_unit,*) me,' ',trim(name),' iasnd: ',info -!!$ if (info == psb_success_) call psb_ensure_size(max(iszs,1),jasnd,info) -!!$ !write(debug_unit,*) me,' ',trim(name),' jasnd: ',info -!!$ if (info == psb_success_) call psb_ensure_size(max(iszs,1),valsnd,info) -!!$ !write(debug_unit,*) me,' ',trim(name),' valsnd: ',info -!!$ if (info /= psb_success_) then -!!$ info=psb_err_from_subroutine_ -!!$ call psb_errpush(info,name,a_err='ensure_size') -!!$ goto 9999 -!!$ end if -!!$ do k=1, nz -!!$ proc = iprc(k) -!!$ sdsi(proc+1) = sdsi(proc+1) + 1 -!!$ !rvsi(proc) = rvsi(proc) + 1 -!!$ iasnd(bsdindx(proc+1)+sdsi(proc+1)) = a%ia(k) -!!$ jasnd(bsdindx(proc+1)+sdsi(proc+1)) = a%ja(k) -!!$ valsnd(bsdindx(proc+1)+sdsi(proc+1)) = a%val(k) -!!$ end do -!!$ do proc=0,np-1 -!!$ if (sdsi(proc+1) /= sdsz(proc+1)) & -!!$ & write(0,*) me,name,'Send mismacth ',sdsi(proc+1),sdsz(proc+1) -!!$ end do -!!$ -!!$ select case(psb_get_sp_a2av_alg()) -!!$ case(psb_sp_a2av_smpl_triad_) -!!$ call psb_simple_triad_a2av(valsnd,iasnd,jasnd,sdsz,bsdindx,& -!!$ & acoo%val,acoo%ia,acoo%ja,rvsz,brvindx,ctxt,info) -!!$ case(psb_sp_a2av_smpl_v_) -!!$ call psb_simple_a2av(valsnd,sdsz,bsdindx,& -!!$ & acoo%val,rvsz,brvindx,ctxt,info) -!!$ if (info == psb_success_) call psb_simple_a2av(iasnd,sdsz,bsdindx,& -!!$ & acoo%ia,rvsz,brvindx,ctxt,info) -!!$ if (info == psb_success_) call psb_simple_a2av(jasnd,sdsz,bsdindx,& -!!$ & acoo%ja,rvsz,brvindx,ctxt,info) -!!$ case(psb_sp_a2av_mpi_) -!!$ -!!$ call mpi_alltoallv(valsnd,sdsz,bsdindx,psb_mpi_c_spk_,& -!!$ & acoo%val,rvsz,brvindx,psb_mpi_c_spk_,icomm,minfo) -!!$ if (minfo == mpi_success) & -!!$ & call mpi_alltoallv(iasnd,sdsz,bsdindx,psb_mpi_lpk_,& -!!$ & acoo%ia,rvsz,brvindx,psb_mpi_lpk_,icomm,minfo) -!!$ if (minfo == mpi_success) & -!!$ & call mpi_alltoallv(jasnd,sdsz,bsdindx,psb_mpi_lpk_,& -!!$ & acoo%ja,rvsz,brvindx,psb_mpi_lpk_,icomm,minfo) -!!$ if (minfo /= mpi_success) info = minfo -!!$ case default -!!$ info = psb_err_internal_error_ -!!$ call psb_errpush(info,name,a_err='wrong A2AV alg selector') -!!$ goto 9999 -!!$ end select -!!$ -!!$ if (info /= psb_success_) then -!!$ info=psb_err_from_subroutine_ -!!$ call psb_errpush(info,name,a_err='alltoallv') -!!$ goto 9999 -!!$ end if -!!$ call acoo%set_nzeros(iszr) -!!$ call acoo%mv_to_coo(b,info) -!!$ -!!$ Deallocate(brvindx,bsdindx,rvsz,sdsz,& -!!$ & iasnd,jasnd,valsnd,stat=info) -!!$ if (debug_level >= psb_debug_outer_)& -!!$ & write(debug_unit,*) me,' ',trim(name),': Done' + + Allocate(rvsz(np),sdsz(np),sdsi(np),rvsi(np),brvindx(np+1),& + & bsdindx(np+1), stat=info) + + if (info /= psb_success_) then + info=psb_err_alloc_dealloc_ + call psb_errpush(info,name) + goto 9999 + end if + + call desc_a%indxmap%fnd_owner(iv(1:n),iprc,info) + + icomm = desc_a%get_mpic() + sdsz(:) = 0 + rvsz(:) = 0 + sdsi(:) = 0 + rvsi(:) = 0 + brvindx(:) = 0 + bsdindx(:) = 0 + counter = 1 + idxs = 0 + idxr = 0 + do i=1,n + if (iprc(i) >=0) then + sdsz(iprc(i)+1) = sdsz(iprc(i)+1) +1 + else + write(0,*)me,name,' Error from fnd_owner: ',iprc(i) + end if + end do + call mpi_alltoall(sdsz,1,psb_mpi_mpk_,& + & rvsz,1,psb_mpi_mpk_,icomm,minfo) + if (minfo /= psb_success_) then + info=psb_err_from_subroutine_ + call psb_errpush(info,name,a_err='mpi_alltoall') + goto 9999 + end if + !write(0,*)me,name,' sdsz ',sdsz(:),' rvsz:',rvsz(:) + nsnds = count(sdsz /= 0) + nrcvs = count(rvsz /= 0) + idxs = 0 + idxr = 0 + counter = 1 + Do proc=0,np-1 + bsdindx(proc+1) = idxs + idxs = idxs + sdsz(proc+1) + brvindx(proc+1) = idxr + idxr = idxr + rvsz(proc+1) + Enddo + + iszs = sum(sdsz) + iszr = sum(rvsz) + call psb_realloc(iszs,lsnd,info) + if (info == 0) call psb_realloc(iszs,valsnd,info) + if (info == 0) call psb_realloc(iszr,x,info) + if (info == 0) call psb_realloc(iszr,ix,info) + if (info /= psb_success_) then + info=psb_err_from_subroutine_ + call psb_errpush(info,name,a_err='realloc') + goto 9999 + end if + do k=1, n + proc = iprc(k) + sdsi(proc+1) = sdsi(proc+1) + 1 + lsnd(bsdindx(proc+1)+sdsi(proc+1)) = iv(k) + valsnd(bsdindx(proc+1)+sdsi(proc+1)) = v(k) + end do + do proc=0,np-1 + if (sdsi(proc+1) /= sdsz(proc+1)) & + & write(0,*) me,name,'Send mismacth ',sdsi(proc+1),sdsz(proc+1) + end do + + select case(psb_get_sp_a2av_alg()) + case(psb_sp_a2av_smpl_triad_,psb_sp_a2av_smpl_v_) + call psb_simple_a2av(valsnd,sdsz,bsdindx,& + & x,rvsz,brvindx,ctxt,info) + if (info == psb_success_) call psb_simple_a2av(lsnd,sdsz,bsdindx,& + & ix,rvsz,brvindx,ctxt,info) + case(psb_sp_a2av_mpi_) + + call mpi_alltoallv(valsnd,sdsz,bsdindx,psb_mpi_c_spk_,& + & x,rvsz,brvindx,psb_mpi_c_spk_,icomm,minfo) + if (minfo == mpi_success) & + & call mpi_alltoallv(lsnd,sdsz,bsdindx,psb_mpi_lpk_,& + & ix,rvsz,brvindx,psb_mpi_lpk_,icomm,minfo) + if (minfo /= mpi_success) info = minfo + case default + info = psb_err_internal_error_ + call psb_errpush(info,name,a_err='wrong A2AV alg selector') + goto 9999 + end select + + if (info /= psb_success_) then + info=psb_err_from_subroutine_ + call psb_errpush(info,name,a_err='alltoallv') + goto 9999 + end if + + Deallocate(brvindx,bsdindx,rvsz,sdsz,& + & lsnd,valsnd,stat=info) + if (debug_level >= psb_debug_outer_)& + & write(debug_unit,*) me,' ',trim(name),': Done' call psb_erractionrestore(err_act) return @@ -480,5 +436,3 @@ subroutine psb_c_remote_vect(v,desc_a, info) return End Subroutine psb_c_remote_vect - - diff --git a/base/tools/psb_callc.f90 b/base/tools/psb_callc.f90 index 0c41be88..272ece8b 100644 --- a/base/tools/psb_callc.f90 +++ b/base/tools/psb_callc.f90 @@ -116,9 +116,11 @@ subroutine psb_calloc_vect(x, desc_a,info, dupl, bldmode) end if call x%set_dupl(dupl_) call x%set_remote_build(bldmode_) + call x%set_nrmv(0) if (x%is_remote_build()) then nrmt_ = max(100,(desc_a%get_local_cols()-desc_a%get_local_rows())) - allocate(x%rmtv(nrmt_)) + call psb_ensure_size(nrmt_,x%rmtv,info) + call psb_ensure_size(nrmt_,x%rmidx,info) end if call psb_erractionrestore(err_act) @@ -129,6 +131,7 @@ subroutine psb_calloc_vect(x, desc_a,info, dupl, bldmode) return end subroutine psb_calloc_vect + ! Function: psb_calloc_vect_r2 ! Allocates a vector of dense vectors for PSBLAS routines. ! The descriptor may be in either the build or assembled state. diff --git a/base/tools/psb_casb.f90 b/base/tools/psb_casb.f90 index c3cbe509..d43b062c 100644 --- a/base/tools/psb_casb.f90 +++ b/base/tools/psb_casb.f90 @@ -104,7 +104,23 @@ subroutine psb_casb_vect(x, desc_a, info, mold, scratch) call x%free(info) call x%bld(ncol,mold=mold) else - if (x%is_remote_build()) call psb_c_remote_vect(x,desc_a,info) + + if (x%is_remote_build()) then + block + integer(psb_lpk_), allocatable :: lvx(:) + complex(psb_spk_), allocatable :: vx(:) + integer(psb_ipk_), allocatable :: ivx(:) + integer(psb_ipk_) :: nrmv, nx, i + + nrmv = x%get_nrmv() + call psb_c_remote_vect(nrmv,x%rmtv,x%rmidx,desc_a,vx,lvx,info) + nx = size(vx) + call psb_realloc(nx,ivx,info) + call desc_a%g2l(lvx,ivx,info,owned=.true.) + call x%ins(nx,ivx,vx,info) + end block + end if + call x%asb(ncol,info) ! ..update halo elements.. call psb_halo(x,desc_a,info) diff --git a/base/tools/psb_cins.f90 b/base/tools/psb_cins.f90 index d3f2ea99..180520a3 100644 --- a/base/tools/psb_cins.f90 +++ b/base/tools/psb_cins.f90 @@ -116,7 +116,6 @@ subroutine psb_cins_vect(m, irw, val, x, desc_a, info, local) goto 9999 endif - dupl_ = x%get_dupl() if (present(local)) then local_ = local else @@ -128,11 +127,33 @@ subroutine psb_cins_vect(m, irw, val, x, desc_a, info, local) else call desc_a%indxmap%g2l(irw(1:m),irl(1:m),info,owned=.true.) end if - call x%ins(m,irl,val,dupl_,info) + call x%ins(m,irl,val,info) if (info /= 0) then call psb_errpush(info,name) goto 9999 end if + if (x%is_remote_build()) then + block + integer(psb_ipk_) :: j,k + k = x%get_nrmv() + do j=1,m + if (irl(j) < 0 ) then + k = k + 1 + call psb_ensure_size(k,x%rmtv,info) + if (info == 0) call psb_ensure_size(k,x%rmidx,info) + if (info /= 0) then + info = psb_err_alloc_dealloc_ + call psb_errpush(info,name) + goto 9999 + end if + x%rmtv(k) = val(j) + x%rmidx(k) = irw(j) + call x%set_nrmv(k) + end if + end do + end block + end if + deallocate(irl) call psb_erractionrestore(err_act) @@ -180,7 +201,7 @@ subroutine psb_cins_vect_v(m, irw, val, x, desc_a, info, local) integer(psb_ipk_) :: i, loc_rows,loc_cols,err_act integer(psb_lpk_) :: mglob type(psb_ctxt_type) :: ctxt - integer(psb_ipk_) :: np, me, dupl_ + integer(psb_ipk_) :: np, me integer(psb_ipk_), allocatable :: irl(:) complex(psb_spk_), allocatable :: lval(:) logical :: local_ @@ -227,7 +248,6 @@ subroutine psb_cins_vect_v(m, irw, val, x, desc_a, info, local) call psb_errpush(info,name) goto 9999 endif - dupl_ = x%get_dupl() if (present(local)) then local_ = local else @@ -241,7 +261,7 @@ subroutine psb_cins_vect_v(m, irw, val, x, desc_a, info, local) call desc_a%indxmap%g2l(irw%v%v(1:m),irl(1:m),info,owned=.true.) end if - call x%ins(m,irl,lval,dupl_,info) + call x%ins(m,irl,lval,info) if (info /= 0) then call psb_errpush(info,name) goto 9999 @@ -277,7 +297,6 @@ subroutine psb_cins_vect_r2(m, irw, val, x, desc_a, info, local) !locals..... integer(psb_ipk_) :: i, loc_rows,loc_cols, n integer(psb_lpk_) :: mglob - integer(psb_ipk_) :: dupl_ type(psb_ctxt_type) :: ctxt integer(psb_ipk_) :: np, me, err_act integer(psb_ipk_), allocatable :: irl(:) @@ -349,8 +368,7 @@ subroutine psb_cins_vect_r2(m, irw, val, x, desc_a, info, local) do i=1,n if (.not.allocated(x(i)%v)) info = psb_err_invalid_vect_state_ - if (info == 0) dupl_ = x(i)%get_dupl() - if (info == 0) call x(i)%ins(m,irl,val(:,i),dupl_,info) + if (info == 0) call x(i)%ins(m,irl,val(:,i),info) if (info /= 0) exit end do if (info /= 0) then @@ -390,7 +408,7 @@ subroutine psb_cins_multivect(m, irw, val, x, desc_a, info, local) integer(psb_ipk_) :: i, loc_rows,loc_cols integer(psb_lpk_) :: mglob type(psb_ctxt_type) :: ctxt - integer(psb_ipk_) :: np, me, dupl_, err_act + integer(psb_ipk_) :: np, me, err_act integer(psb_ipk_), allocatable :: irl(:) logical :: local_ character(len=20) :: name @@ -446,7 +464,6 @@ subroutine psb_cins_multivect(m, irw, val, x, desc_a, info, local) goto 9999 endif - dupl_ = x%get_dupl() if (present(local)) then local_ = local else @@ -458,7 +475,7 @@ subroutine psb_cins_multivect(m, irw, val, x, desc_a, info, local) else call desc_a%indxmap%g2l(irw(1:m),irl(1:m),info,owned=.true.) end if - call x%ins(m,irl,val,dupl_,info) + call x%ins(m,irl,val,info) if (info /= 0) then call psb_errpush(info,name) goto 9999 diff --git a/base/tools/psb_cspasb.f90 b/base/tools/psb_cspasb.f90 index 08f18d00..d4a80771 100644 --- a/base/tools/psb_cspasb.f90 +++ b/base/tools/psb_cspasb.f90 @@ -108,8 +108,7 @@ subroutine psb_cspasb(a,desc_a, info, afmt, upd, mold) integer(psb_ipk_), allocatable :: ila(:), jla(:) integer(psb_ipk_) :: nz, nzt,k call psb_remote_mat(a%rmta,desc_a,a_add,info) - nz = a_add%get_nzeros() -!!$ write(0,*) me,name,' Nz to be added',nz + nz = a_add%get_nzeros() nzt = nz call psb_sum(ctxt,nzt) if (nzt>0) then diff --git a/base/tools/psb_d_remote_mat.F90 b/base/tools/psb_d_remote_mat.F90 index ad9beba1..1a50e446 100644 --- a/base/tools/psb_d_remote_mat.F90 +++ b/base/tools/psb_d_remote_mat.F90 @@ -90,8 +90,7 @@ Subroutine psb_ld_remote_mat(a,desc_a,b,info) type(psb_ctxt_type) :: ctxt integer(psb_ipk_) :: np,me integer(psb_ipk_) :: counter, proc, i, n_el_send,n_el_recv, & - & n_elem, j, ipx,mat_recv, idxs,idxr,& - & data_,totxch,nxs, nxr, ncg + & n_elem, j, ipx,idxs,idxr integer(psb_lpk_) :: r, k, irmin, irmax, icmin, icmax, iszs, iszr, & & lidx, l1, lnr, lnc, lnnz, idx, ngtz, tot_elem integer(psb_lpk_) :: nz,nouth @@ -140,14 +139,14 @@ Subroutine psb_ld_remote_mat(a,desc_a,b,info) nz = a%get_nzeros() - allocate(ila(nz)) + !allocate(ila(nz)) !write(0,*) me,name,' size :',nz,size(ila) - call desc_a%g2l(a%ia(1:nz),ila(1:nz),info,owned=.false.) - nouth = count(ila(1:nz)<0) + !call desc_a%g2l(a%ia(1:nz),ila(1:nz),info,owned=.false.) + !nouth = count(ila(1:nz)<0) !write(0,*) me,name,' Count out of halo :',nouth - call psb_max(ctxt,nouth) - if ((nouth/=0).and.(me==0)) & - & write(0,*) 'Warning: would require reinit of DESC_A' + !call psb_max(ctxt,nouth) + !if ((nouth/=0).and.(me==0)) & + ! & write(0,*) 'Warning: would require reinit of DESC_A' call desc_a%indxmap%fnd_owner(a%ia(1:nz),iprc,info) @@ -277,7 +276,7 @@ Subroutine psb_ld_remote_mat(a,desc_a,b,info) End Subroutine psb_ld_remote_mat -subroutine psb_d_remote_vect(v,desc_a, info) +subroutine psb_d_remote_vect(n,v,iv,desc_a,x,ix, info) use psb_base_mod, psb_protect_name => psb_d_remote_vect #ifdef MPI_MOD @@ -287,29 +286,25 @@ subroutine psb_d_remote_vect(v,desc_a, info) #ifdef MPI_H include 'mpif.h' #endif - - type(psb_d_vect_type),Intent(inout) :: v - type(psb_desc_type),intent(in) :: desc_a - integer(psb_ipk_), intent(out) :: info - + integer(psb_ipk_), intent(in) :: n + real(psb_dpk_), Intent(in) :: v(:) + integer(psb_lpk_), Intent(in) :: iv(:) + type(psb_desc_type),intent(in) :: desc_a + real(psb_dpk_), allocatable, intent(out) :: x(:) + integer(psb_lpk_), allocatable, intent(out) :: ix(:) + integer(psb_ipk_), intent(out) :: info ! ...local scalars.... type(psb_ctxt_type) :: ctxt integer(psb_ipk_) :: np,me - integer(psb_ipk_) :: counter, proc, i, n_el_send,n_el_recv, & - & n_elem, j, ipx,mat_recv, idxs,idxr,& - & data_,totxch,nxs, nxr, ncg, dupl_ - integer(psb_lpk_) :: r, k, irmin, irmax, icmin, icmax, iszs, iszr, & - & lidx, l1, lnr, lnc, lnnz, idx, ngtz, tot_elem - integer(psb_lpk_) :: nz,nouth + integer(psb_ipk_) :: counter, proc, i, & + & j, idxs,idxr, k, iszs, iszr integer(psb_ipk_) :: nrcvs, nsnds integer(psb_mpk_) :: icomm, minfo integer(psb_mpk_), allocatable :: brvindx(:), & - & rvsz(:), bsdindx(:),sdsz(:), sdsi(:), rvsi(:) - integer(psb_lpk_), allocatable :: iasnd(:), jasnd(:) + & rvsz(:), bsdindx(:), sdsz(:), sdsi(:), rvsi(:) + integer(psb_lpk_), allocatable :: lsnd(:) real(psb_dpk_), allocatable :: valsnd(:) - integer(psb_ipk_), allocatable :: ila(:), iprc(:) - logical :: rowcnv_,colcnv_,rowscale_,colscale_ - character(len=5) :: outfmt_ + integer(psb_ipk_), allocatable :: iprc(:) integer(psb_ipk_) :: debug_level, debug_unit, err_act character(len=20) :: name, ch_err @@ -327,150 +322,111 @@ subroutine psb_d_remote_vect(v,desc_a, info) Call psb_info(ctxt, me, np) - dupl_ = v%get_dupl() if (debug_level >= psb_debug_outer_) & & write(debug_unit,*) me,' ',trim(name),': Start' write(0,*) me, 'X_remote_vect implementation to be completed ' -!!$ call b%free() -!!$ -!!$ Allocate(rvsz(np),sdsz(np),sdsi(np),rvsi(np),brvindx(np+1),& -!!$ & bsdindx(np+1), acoo,stat=info) -!!$ -!!$ if (info /= psb_success_) then -!!$ info=psb_err_alloc_dealloc_ -!!$ call psb_errpush(info,name) -!!$ goto 9999 -!!$ end if -!!$ -!!$ -!!$ nz = a%get_nzeros() -!!$ allocate(ila(nz)) -!!$ !write(0,*) me,name,' size :',nz,size(ila) -!!$ call desc_a%g2l(a%ia(1:nz),ila(1:nz),info,owned=.false.) -!!$ nouth = count(ila(1:nz)<0) -!!$ !write(0,*) me,name,' Count out of halo :',nouth -!!$ call psb_max(ctxt,nouth) -!!$ if ((nouth/=0).and.(me==0)) & -!!$ & write(0,*) 'Warning: would require reinit of DESC_A' -!!$ -!!$ call desc_a%indxmap%fnd_owner(a%ia(1:nz),iprc,info) -!!$ -!!$ icomm = desc_a%get_mpic() -!!$ sdsz(:)=0 -!!$ rvsz(:)=0 -!!$ sdsi(:)=0 -!!$ rvsi(:)=0 -!!$ ipx = 1 -!!$ brvindx(:) = 0 -!!$ bsdindx(:) = 0 -!!$ counter=1 -!!$ idx = 0 -!!$ idxs = 0 -!!$ idxr = 0 -!!$ do i=1,nz -!!$ if (iprc(i) >=0) then -!!$ sdsz(iprc(i)+1) = sdsz(iprc(i)+1) +1 -!!$ else -!!$ write(0,*)me,name,' Error from fnd_owner: ',iprc(i) -!!$ end if -!!$ end do -!!$ call mpi_alltoall(sdsz,1,psb_mpi_mpk_,& -!!$ & rvsz,1,psb_mpi_mpk_,icomm,minfo) -!!$ if (minfo /= psb_success_) then -!!$ info=psb_err_from_subroutine_ -!!$ call psb_errpush(info,name,a_err='mpi_alltoall') -!!$ goto 9999 -!!$ end if -!!$ !write(0,*)me,name,' sdsz ',sdsz(:),' rvsz:',rvsz(:) -!!$ nsnds = count(sdsz /= 0) -!!$ nrcvs = count(rvsz /= 0) -!!$ idxs = 0 -!!$ idxr = 0 -!!$ counter = 1 -!!$ Do proc=0,np-1 -!!$ bsdindx(proc+1) = idxs -!!$ idxs = idxs + sdsz(proc+1) -!!$ brvindx(proc+1) = idxr -!!$ idxr = idxr + rvsz(proc+1) -!!$ Enddo -!!$ -!!$ iszs = sum(sdsz) -!!$ iszr = sum(rvsz) -!!$ call acoo%allocate(desc_a%get_global_rows(),desc_a%get_global_cols(),iszr) -!!$ if (psb_errstatus_fatal()) then -!!$ write(0,*) 'Error from acoo%allocate ' -!!$ info = 4010 -!!$ goto 9999 -!!$ end if -!!$ if (debug_level >= psb_debug_outer_)& -!!$ & write(debug_unit,*) me,' ',trim(name),': Sizes:',acoo%get_size(),& -!!$ & ' Send:',sdsz(:),' Receive:',rvsz(:) -!!$ !write(debug_unit,*) me,' ',trim(name),': ',info -!!$ if (info == psb_success_) call psb_ensure_size(max(iszs,1),iasnd,info) -!!$ !write(debug_unit,*) me,' ',trim(name),' iasnd: ',info -!!$ if (info == psb_success_) call psb_ensure_size(max(iszs,1),jasnd,info) -!!$ !write(debug_unit,*) me,' ',trim(name),' jasnd: ',info -!!$ if (info == psb_success_) call psb_ensure_size(max(iszs,1),valsnd,info) -!!$ !write(debug_unit,*) me,' ',trim(name),' valsnd: ',info -!!$ if (info /= psb_success_) then -!!$ info=psb_err_from_subroutine_ -!!$ call psb_errpush(info,name,a_err='ensure_size') -!!$ goto 9999 -!!$ end if -!!$ do k=1, nz -!!$ proc = iprc(k) -!!$ sdsi(proc+1) = sdsi(proc+1) + 1 -!!$ !rvsi(proc) = rvsi(proc) + 1 -!!$ iasnd(bsdindx(proc+1)+sdsi(proc+1)) = a%ia(k) -!!$ jasnd(bsdindx(proc+1)+sdsi(proc+1)) = a%ja(k) -!!$ valsnd(bsdindx(proc+1)+sdsi(proc+1)) = a%val(k) -!!$ end do -!!$ do proc=0,np-1 -!!$ if (sdsi(proc+1) /= sdsz(proc+1)) & -!!$ & write(0,*) me,name,'Send mismacth ',sdsi(proc+1),sdsz(proc+1) -!!$ end do -!!$ -!!$ select case(psb_get_sp_a2av_alg()) -!!$ case(psb_sp_a2av_smpl_triad_) -!!$ call psb_simple_triad_a2av(valsnd,iasnd,jasnd,sdsz,bsdindx,& -!!$ & acoo%val,acoo%ia,acoo%ja,rvsz,brvindx,ctxt,info) -!!$ case(psb_sp_a2av_smpl_v_) -!!$ call psb_simple_a2av(valsnd,sdsz,bsdindx,& -!!$ & acoo%val,rvsz,brvindx,ctxt,info) -!!$ if (info == psb_success_) call psb_simple_a2av(iasnd,sdsz,bsdindx,& -!!$ & acoo%ia,rvsz,brvindx,ctxt,info) -!!$ if (info == psb_success_) call psb_simple_a2av(jasnd,sdsz,bsdindx,& -!!$ & acoo%ja,rvsz,brvindx,ctxt,info) -!!$ case(psb_sp_a2av_mpi_) -!!$ -!!$ call mpi_alltoallv(valsnd,sdsz,bsdindx,psb_mpi_r_dpk_,& -!!$ & acoo%val,rvsz,brvindx,psb_mpi_r_dpk_,icomm,minfo) -!!$ if (minfo == mpi_success) & -!!$ & call mpi_alltoallv(iasnd,sdsz,bsdindx,psb_mpi_lpk_,& -!!$ & acoo%ia,rvsz,brvindx,psb_mpi_lpk_,icomm,minfo) -!!$ if (minfo == mpi_success) & -!!$ & call mpi_alltoallv(jasnd,sdsz,bsdindx,psb_mpi_lpk_,& -!!$ & acoo%ja,rvsz,brvindx,psb_mpi_lpk_,icomm,minfo) -!!$ if (minfo /= mpi_success) info = minfo -!!$ case default -!!$ info = psb_err_internal_error_ -!!$ call psb_errpush(info,name,a_err='wrong A2AV alg selector') -!!$ goto 9999 -!!$ end select -!!$ -!!$ if (info /= psb_success_) then -!!$ info=psb_err_from_subroutine_ -!!$ call psb_errpush(info,name,a_err='alltoallv') -!!$ goto 9999 -!!$ end if -!!$ call acoo%set_nzeros(iszr) -!!$ call acoo%mv_to_coo(b,info) -!!$ -!!$ Deallocate(brvindx,bsdindx,rvsz,sdsz,& -!!$ & iasnd,jasnd,valsnd,stat=info) -!!$ if (debug_level >= psb_debug_outer_)& -!!$ & write(debug_unit,*) me,' ',trim(name),': Done' + + Allocate(rvsz(np),sdsz(np),sdsi(np),rvsi(np),brvindx(np+1),& + & bsdindx(np+1), stat=info) + + if (info /= psb_success_) then + info=psb_err_alloc_dealloc_ + call psb_errpush(info,name) + goto 9999 + end if + + call desc_a%indxmap%fnd_owner(iv(1:n),iprc,info) + + icomm = desc_a%get_mpic() + sdsz(:) = 0 + rvsz(:) = 0 + sdsi(:) = 0 + rvsi(:) = 0 + brvindx(:) = 0 + bsdindx(:) = 0 + counter = 1 + idxs = 0 + idxr = 0 + do i=1,n + if (iprc(i) >=0) then + sdsz(iprc(i)+1) = sdsz(iprc(i)+1) +1 + else + write(0,*)me,name,' Error from fnd_owner: ',iprc(i) + end if + end do + call mpi_alltoall(sdsz,1,psb_mpi_mpk_,& + & rvsz,1,psb_mpi_mpk_,icomm,minfo) + if (minfo /= psb_success_) then + info=psb_err_from_subroutine_ + call psb_errpush(info,name,a_err='mpi_alltoall') + goto 9999 + end if + !write(0,*)me,name,' sdsz ',sdsz(:),' rvsz:',rvsz(:) + nsnds = count(sdsz /= 0) + nrcvs = count(rvsz /= 0) + idxs = 0 + idxr = 0 + counter = 1 + Do proc=0,np-1 + bsdindx(proc+1) = idxs + idxs = idxs + sdsz(proc+1) + brvindx(proc+1) = idxr + idxr = idxr + rvsz(proc+1) + Enddo + + iszs = sum(sdsz) + iszr = sum(rvsz) + call psb_realloc(iszs,lsnd,info) + if (info == 0) call psb_realloc(iszs,valsnd,info) + if (info == 0) call psb_realloc(iszr,x,info) + if (info == 0) call psb_realloc(iszr,ix,info) + if (info /= psb_success_) then + info=psb_err_from_subroutine_ + call psb_errpush(info,name,a_err='realloc') + goto 9999 + end if + do k=1, n + proc = iprc(k) + sdsi(proc+1) = sdsi(proc+1) + 1 + lsnd(bsdindx(proc+1)+sdsi(proc+1)) = iv(k) + valsnd(bsdindx(proc+1)+sdsi(proc+1)) = v(k) + end do + do proc=0,np-1 + if (sdsi(proc+1) /= sdsz(proc+1)) & + & write(0,*) me,name,'Send mismacth ',sdsi(proc+1),sdsz(proc+1) + end do + + select case(psb_get_sp_a2av_alg()) + case(psb_sp_a2av_smpl_triad_,psb_sp_a2av_smpl_v_) + call psb_simple_a2av(valsnd,sdsz,bsdindx,& + & x,rvsz,brvindx,ctxt,info) + if (info == psb_success_) call psb_simple_a2av(lsnd,sdsz,bsdindx,& + & ix,rvsz,brvindx,ctxt,info) + case(psb_sp_a2av_mpi_) + + call mpi_alltoallv(valsnd,sdsz,bsdindx,psb_mpi_r_dpk_,& + & x,rvsz,brvindx,psb_mpi_r_dpk_,icomm,minfo) + if (minfo == mpi_success) & + & call mpi_alltoallv(lsnd,sdsz,bsdindx,psb_mpi_lpk_,& + & ix,rvsz,brvindx,psb_mpi_lpk_,icomm,minfo) + if (minfo /= mpi_success) info = minfo + case default + info = psb_err_internal_error_ + call psb_errpush(info,name,a_err='wrong A2AV alg selector') + goto 9999 + end select + + if (info /= psb_success_) then + info=psb_err_from_subroutine_ + call psb_errpush(info,name,a_err='alltoallv') + goto 9999 + end if + + Deallocate(brvindx,bsdindx,rvsz,sdsz,& + & lsnd,valsnd,stat=info) + if (debug_level >= psb_debug_outer_)& + & write(debug_unit,*) me,' ',trim(name),': Done' call psb_erractionrestore(err_act) return @@ -480,5 +436,3 @@ subroutine psb_d_remote_vect(v,desc_a, info) return End Subroutine psb_d_remote_vect - - diff --git a/base/tools/psb_dallc.f90 b/base/tools/psb_dallc.f90 index 24aecfe0..108e2000 100644 --- a/base/tools/psb_dallc.f90 +++ b/base/tools/psb_dallc.f90 @@ -116,9 +116,11 @@ subroutine psb_dalloc_vect(x, desc_a,info, dupl, bldmode) end if call x%set_dupl(dupl_) call x%set_remote_build(bldmode_) + call x%set_nrmv(0) if (x%is_remote_build()) then nrmt_ = max(100,(desc_a%get_local_cols()-desc_a%get_local_rows())) - allocate(x%rmtv(nrmt_)) + call psb_ensure_size(nrmt_,x%rmtv,info) + call psb_ensure_size(nrmt_,x%rmidx,info) end if call psb_erractionrestore(err_act) @@ -129,6 +131,7 @@ subroutine psb_dalloc_vect(x, desc_a,info, dupl, bldmode) return end subroutine psb_dalloc_vect + ! Function: psb_dalloc_vect_r2 ! Allocates a vector of dense vectors for PSBLAS routines. ! The descriptor may be in either the build or assembled state. diff --git a/base/tools/psb_dasb.f90 b/base/tools/psb_dasb.f90 index 44edbf4b..f8225496 100644 --- a/base/tools/psb_dasb.f90 +++ b/base/tools/psb_dasb.f90 @@ -104,7 +104,23 @@ subroutine psb_dasb_vect(x, desc_a, info, mold, scratch) call x%free(info) call x%bld(ncol,mold=mold) else - if (x%is_remote_build()) call psb_d_remote_vect(x,desc_a,info) + + if (x%is_remote_build()) then + block + integer(psb_lpk_), allocatable :: lvx(:) + real(psb_dpk_), allocatable :: vx(:) + integer(psb_ipk_), allocatable :: ivx(:) + integer(psb_ipk_) :: nrmv, nx, i + + nrmv = x%get_nrmv() + call psb_d_remote_vect(nrmv,x%rmtv,x%rmidx,desc_a,vx,lvx,info) + nx = size(vx) + call psb_realloc(nx,ivx,info) + call desc_a%g2l(lvx,ivx,info,owned=.true.) + call x%ins(nx,ivx,vx,info) + end block + end if + call x%asb(ncol,info) ! ..update halo elements.. call psb_halo(x,desc_a,info) diff --git a/base/tools/psb_dins.f90 b/base/tools/psb_dins.f90 index 9a37e6df..d3529229 100644 --- a/base/tools/psb_dins.f90 +++ b/base/tools/psb_dins.f90 @@ -116,7 +116,6 @@ subroutine psb_dins_vect(m, irw, val, x, desc_a, info, local) goto 9999 endif - dupl_ = x%get_dupl() if (present(local)) then local_ = local else @@ -128,11 +127,33 @@ subroutine psb_dins_vect(m, irw, val, x, desc_a, info, local) else call desc_a%indxmap%g2l(irw(1:m),irl(1:m),info,owned=.true.) end if - call x%ins(m,irl,val,dupl_,info) + call x%ins(m,irl,val,info) if (info /= 0) then call psb_errpush(info,name) goto 9999 end if + if (x%is_remote_build()) then + block + integer(psb_ipk_) :: j,k + k = x%get_nrmv() + do j=1,m + if (irl(j) < 0 ) then + k = k + 1 + call psb_ensure_size(k,x%rmtv,info) + if (info == 0) call psb_ensure_size(k,x%rmidx,info) + if (info /= 0) then + info = psb_err_alloc_dealloc_ + call psb_errpush(info,name) + goto 9999 + end if + x%rmtv(k) = val(j) + x%rmidx(k) = irw(j) + call x%set_nrmv(k) + end if + end do + end block + end if + deallocate(irl) call psb_erractionrestore(err_act) @@ -180,7 +201,7 @@ subroutine psb_dins_vect_v(m, irw, val, x, desc_a, info, local) integer(psb_ipk_) :: i, loc_rows,loc_cols,err_act integer(psb_lpk_) :: mglob type(psb_ctxt_type) :: ctxt - integer(psb_ipk_) :: np, me, dupl_ + integer(psb_ipk_) :: np, me integer(psb_ipk_), allocatable :: irl(:) real(psb_dpk_), allocatable :: lval(:) logical :: local_ @@ -227,7 +248,6 @@ subroutine psb_dins_vect_v(m, irw, val, x, desc_a, info, local) call psb_errpush(info,name) goto 9999 endif - dupl_ = x%get_dupl() if (present(local)) then local_ = local else @@ -241,7 +261,7 @@ subroutine psb_dins_vect_v(m, irw, val, x, desc_a, info, local) call desc_a%indxmap%g2l(irw%v%v(1:m),irl(1:m),info,owned=.true.) end if - call x%ins(m,irl,lval,dupl_,info) + call x%ins(m,irl,lval,info) if (info /= 0) then call psb_errpush(info,name) goto 9999 @@ -277,7 +297,6 @@ subroutine psb_dins_vect_r2(m, irw, val, x, desc_a, info, local) !locals..... integer(psb_ipk_) :: i, loc_rows,loc_cols, n integer(psb_lpk_) :: mglob - integer(psb_ipk_) :: dupl_ type(psb_ctxt_type) :: ctxt integer(psb_ipk_) :: np, me, err_act integer(psb_ipk_), allocatable :: irl(:) @@ -349,8 +368,7 @@ subroutine psb_dins_vect_r2(m, irw, val, x, desc_a, info, local) do i=1,n if (.not.allocated(x(i)%v)) info = psb_err_invalid_vect_state_ - if (info == 0) dupl_ = x(i)%get_dupl() - if (info == 0) call x(i)%ins(m,irl,val(:,i),dupl_,info) + if (info == 0) call x(i)%ins(m,irl,val(:,i),info) if (info /= 0) exit end do if (info /= 0) then @@ -390,7 +408,7 @@ subroutine psb_dins_multivect(m, irw, val, x, desc_a, info, local) integer(psb_ipk_) :: i, loc_rows,loc_cols integer(psb_lpk_) :: mglob type(psb_ctxt_type) :: ctxt - integer(psb_ipk_) :: np, me, dupl_, err_act + integer(psb_ipk_) :: np, me, err_act integer(psb_ipk_), allocatable :: irl(:) logical :: local_ character(len=20) :: name @@ -446,7 +464,6 @@ subroutine psb_dins_multivect(m, irw, val, x, desc_a, info, local) goto 9999 endif - dupl_ = x%get_dupl() if (present(local)) then local_ = local else @@ -458,7 +475,7 @@ subroutine psb_dins_multivect(m, irw, val, x, desc_a, info, local) else call desc_a%indxmap%g2l(irw(1:m),irl(1:m),info,owned=.true.) end if - call x%ins(m,irl,val,dupl_,info) + call x%ins(m,irl,val,info) if (info /= 0) then call psb_errpush(info,name) goto 9999 diff --git a/base/tools/psb_dspasb.f90 b/base/tools/psb_dspasb.f90 index f6497aef..b6139465 100644 --- a/base/tools/psb_dspasb.f90 +++ b/base/tools/psb_dspasb.f90 @@ -108,8 +108,7 @@ subroutine psb_dspasb(a,desc_a, info, afmt, upd, mold) integer(psb_ipk_), allocatable :: ila(:), jla(:) integer(psb_ipk_) :: nz, nzt,k call psb_remote_mat(a%rmta,desc_a,a_add,info) - nz = a_add%get_nzeros() -!!$ write(0,*) me,name,' Nz to be added',nz + nz = a_add%get_nzeros() nzt = nz call psb_sum(ctxt,nzt) if (nzt>0) then diff --git a/base/tools/psb_iallc.f90 b/base/tools/psb_iallc.f90 index 5d192706..7ed69ed6 100644 --- a/base/tools/psb_iallc.f90 +++ b/base/tools/psb_iallc.f90 @@ -116,9 +116,11 @@ subroutine psb_ialloc_vect(x, desc_a,info, dupl, bldmode) end if call x%set_dupl(dupl_) call x%set_remote_build(bldmode_) + call x%set_nrmv(0) if (x%is_remote_build()) then nrmt_ = max(100,(desc_a%get_local_cols()-desc_a%get_local_rows())) - allocate(x%rmtv(nrmt_)) + call psb_ensure_size(nrmt_,x%rmtv,info) + call psb_ensure_size(nrmt_,x%rmidx,info) end if call psb_erractionrestore(err_act) @@ -129,6 +131,7 @@ subroutine psb_ialloc_vect(x, desc_a,info, dupl, bldmode) return end subroutine psb_ialloc_vect + ! Function: psb_ialloc_vect_r2 ! Allocates a vector of dense vectors for PSBLAS routines. ! The descriptor may be in either the build or assembled state. diff --git a/base/tools/psb_iasb.f90 b/base/tools/psb_iasb.f90 index a9244e96..5e09d331 100644 --- a/base/tools/psb_iasb.f90 +++ b/base/tools/psb_iasb.f90 @@ -104,7 +104,23 @@ subroutine psb_iasb_vect(x, desc_a, info, mold, scratch) call x%free(info) call x%bld(ncol,mold=mold) else - if (x%is_remote_build()) call psb_i_remote_vect(x,desc_a,info) + + if (x%is_remote_build()) then + block + integer(psb_lpk_), allocatable :: lvx(:) + integer(psb_ipk_), allocatable :: vx(:) + integer(psb_ipk_), allocatable :: ivx(:) + integer(psb_ipk_) :: nrmv, nx, i + + nrmv = x%get_nrmv() + call psb_i_remote_vect(nrmv,x%rmtv,x%rmidx,desc_a,vx,lvx,info) + nx = size(vx) + call psb_realloc(nx,ivx,info) + call desc_a%g2l(lvx,ivx,info,owned=.true.) + call x%ins(nx,ivx,vx,info) + end block + end if + call x%asb(ncol,info) ! ..update halo elements.. call psb_halo(x,desc_a,info) diff --git a/base/tools/psb_iins.f90 b/base/tools/psb_iins.f90 index 92257905..4fa53429 100644 --- a/base/tools/psb_iins.f90 +++ b/base/tools/psb_iins.f90 @@ -116,7 +116,6 @@ subroutine psb_iins_vect(m, irw, val, x, desc_a, info, local) goto 9999 endif - dupl_ = x%get_dupl() if (present(local)) then local_ = local else @@ -128,11 +127,33 @@ subroutine psb_iins_vect(m, irw, val, x, desc_a, info, local) else call desc_a%indxmap%g2l(irw(1:m),irl(1:m),info,owned=.true.) end if - call x%ins(m,irl,val,dupl_,info) + call x%ins(m,irl,val,info) if (info /= 0) then call psb_errpush(info,name) goto 9999 end if + if (x%is_remote_build()) then + block + integer(psb_ipk_) :: j,k + k = x%get_nrmv() + do j=1,m + if (irl(j) < 0 ) then + k = k + 1 + call psb_ensure_size(k,x%rmtv,info) + if (info == 0) call psb_ensure_size(k,x%rmidx,info) + if (info /= 0) then + info = psb_err_alloc_dealloc_ + call psb_errpush(info,name) + goto 9999 + end if + x%rmtv(k) = val(j) + x%rmidx(k) = irw(j) + call x%set_nrmv(k) + end if + end do + end block + end if + deallocate(irl) call psb_erractionrestore(err_act) @@ -180,7 +201,7 @@ subroutine psb_iins_vect_v(m, irw, val, x, desc_a, info, local) integer(psb_ipk_) :: i, loc_rows,loc_cols,err_act integer(psb_lpk_) :: mglob type(psb_ctxt_type) :: ctxt - integer(psb_ipk_) :: np, me, dupl_ + integer(psb_ipk_) :: np, me integer(psb_ipk_), allocatable :: irl(:) integer(psb_ipk_), allocatable :: lval(:) logical :: local_ @@ -227,7 +248,6 @@ subroutine psb_iins_vect_v(m, irw, val, x, desc_a, info, local) call psb_errpush(info,name) goto 9999 endif - dupl_ = x%get_dupl() if (present(local)) then local_ = local else @@ -241,7 +261,7 @@ subroutine psb_iins_vect_v(m, irw, val, x, desc_a, info, local) call desc_a%indxmap%g2l(irw%v%v(1:m),irl(1:m),info,owned=.true.) end if - call x%ins(m,irl,lval,dupl_,info) + call x%ins(m,irl,lval,info) if (info /= 0) then call psb_errpush(info,name) goto 9999 @@ -277,7 +297,6 @@ subroutine psb_iins_vect_r2(m, irw, val, x, desc_a, info, local) !locals..... integer(psb_ipk_) :: i, loc_rows,loc_cols, n integer(psb_lpk_) :: mglob - integer(psb_ipk_) :: dupl_ type(psb_ctxt_type) :: ctxt integer(psb_ipk_) :: np, me, err_act integer(psb_ipk_), allocatable :: irl(:) @@ -349,8 +368,7 @@ subroutine psb_iins_vect_r2(m, irw, val, x, desc_a, info, local) do i=1,n if (.not.allocated(x(i)%v)) info = psb_err_invalid_vect_state_ - if (info == 0) dupl_ = x(i)%get_dupl() - if (info == 0) call x(i)%ins(m,irl,val(:,i),dupl_,info) + if (info == 0) call x(i)%ins(m,irl,val(:,i),info) if (info /= 0) exit end do if (info /= 0) then @@ -390,7 +408,7 @@ subroutine psb_iins_multivect(m, irw, val, x, desc_a, info, local) integer(psb_ipk_) :: i, loc_rows,loc_cols integer(psb_lpk_) :: mglob type(psb_ctxt_type) :: ctxt - integer(psb_ipk_) :: np, me, dupl_, err_act + integer(psb_ipk_) :: np, me, err_act integer(psb_ipk_), allocatable :: irl(:) logical :: local_ character(len=20) :: name @@ -446,7 +464,6 @@ subroutine psb_iins_multivect(m, irw, val, x, desc_a, info, local) goto 9999 endif - dupl_ = x%get_dupl() if (present(local)) then local_ = local else @@ -458,7 +475,7 @@ subroutine psb_iins_multivect(m, irw, val, x, desc_a, info, local) else call desc_a%indxmap%g2l(irw(1:m),irl(1:m),info,owned=.true.) end if - call x%ins(m,irl,val,dupl_,info) + call x%ins(m,irl,val,info) if (info /= 0) then call psb_errpush(info,name) goto 9999 diff --git a/base/tools/psb_lallc.f90 b/base/tools/psb_lallc.f90 index 47ba201b..53857029 100644 --- a/base/tools/psb_lallc.f90 +++ b/base/tools/psb_lallc.f90 @@ -116,9 +116,11 @@ subroutine psb_lalloc_vect(x, desc_a,info, dupl, bldmode) end if call x%set_dupl(dupl_) call x%set_remote_build(bldmode_) + call x%set_nrmv(0) if (x%is_remote_build()) then nrmt_ = max(100,(desc_a%get_local_cols()-desc_a%get_local_rows())) - allocate(x%rmtv(nrmt_)) + call psb_ensure_size(nrmt_,x%rmtv,info) + call psb_ensure_size(nrmt_,x%rmidx,info) end if call psb_erractionrestore(err_act) @@ -129,6 +131,7 @@ subroutine psb_lalloc_vect(x, desc_a,info, dupl, bldmode) return end subroutine psb_lalloc_vect + ! Function: psb_lalloc_vect_r2 ! Allocates a vector of dense vectors for PSBLAS routines. ! The descriptor may be in either the build or assembled state. diff --git a/base/tools/psb_lasb.f90 b/base/tools/psb_lasb.f90 index b7bfb66c..1110ee11 100644 --- a/base/tools/psb_lasb.f90 +++ b/base/tools/psb_lasb.f90 @@ -104,7 +104,23 @@ subroutine psb_lasb_vect(x, desc_a, info, mold, scratch) call x%free(info) call x%bld(ncol,mold=mold) else - if (x%is_remote_build()) call psb_l_remote_vect(x,desc_a,info) + + if (x%is_remote_build()) then + block + integer(psb_lpk_), allocatable :: lvx(:) + integer(psb_lpk_), allocatable :: vx(:) + integer(psb_ipk_), allocatable :: ivx(:) + integer(psb_ipk_) :: nrmv, nx, i + + nrmv = x%get_nrmv() + call psb_l_remote_vect(nrmv,x%rmtv,x%rmidx,desc_a,vx,lvx,info) + nx = size(vx) + call psb_realloc(nx,ivx,info) + call desc_a%g2l(lvx,ivx,info,owned=.true.) + call x%ins(nx,ivx,vx,info) + end block + end if + call x%asb(ncol,info) ! ..update halo elements.. call psb_halo(x,desc_a,info) diff --git a/base/tools/psb_lins.f90 b/base/tools/psb_lins.f90 index 224b6f8e..90da8111 100644 --- a/base/tools/psb_lins.f90 +++ b/base/tools/psb_lins.f90 @@ -116,7 +116,6 @@ subroutine psb_lins_vect(m, irw, val, x, desc_a, info, local) goto 9999 endif - dupl_ = x%get_dupl() if (present(local)) then local_ = local else @@ -128,11 +127,33 @@ subroutine psb_lins_vect(m, irw, val, x, desc_a, info, local) else call desc_a%indxmap%g2l(irw(1:m),irl(1:m),info,owned=.true.) end if - call x%ins(m,irl,val,dupl_,info) + call x%ins(m,irl,val,info) if (info /= 0) then call psb_errpush(info,name) goto 9999 end if + if (x%is_remote_build()) then + block + integer(psb_ipk_) :: j,k + k = x%get_nrmv() + do j=1,m + if (irl(j) < 0 ) then + k = k + 1 + call psb_ensure_size(k,x%rmtv,info) + if (info == 0) call psb_ensure_size(k,x%rmidx,info) + if (info /= 0) then + info = psb_err_alloc_dealloc_ + call psb_errpush(info,name) + goto 9999 + end if + x%rmtv(k) = val(j) + x%rmidx(k) = irw(j) + call x%set_nrmv(k) + end if + end do + end block + end if + deallocate(irl) call psb_erractionrestore(err_act) @@ -180,7 +201,7 @@ subroutine psb_lins_vect_v(m, irw, val, x, desc_a, info, local) integer(psb_ipk_) :: i, loc_rows,loc_cols,err_act integer(psb_lpk_) :: mglob type(psb_ctxt_type) :: ctxt - integer(psb_ipk_) :: np, me, dupl_ + integer(psb_ipk_) :: np, me integer(psb_ipk_), allocatable :: irl(:) integer(psb_lpk_), allocatable :: lval(:) logical :: local_ @@ -227,7 +248,6 @@ subroutine psb_lins_vect_v(m, irw, val, x, desc_a, info, local) call psb_errpush(info,name) goto 9999 endif - dupl_ = x%get_dupl() if (present(local)) then local_ = local else @@ -241,7 +261,7 @@ subroutine psb_lins_vect_v(m, irw, val, x, desc_a, info, local) call desc_a%indxmap%g2l(irw%v%v(1:m),irl(1:m),info,owned=.true.) end if - call x%ins(m,irl,lval,dupl_,info) + call x%ins(m,irl,lval,info) if (info /= 0) then call psb_errpush(info,name) goto 9999 @@ -277,7 +297,6 @@ subroutine psb_lins_vect_r2(m, irw, val, x, desc_a, info, local) !locals..... integer(psb_ipk_) :: i, loc_rows,loc_cols, n integer(psb_lpk_) :: mglob - integer(psb_ipk_) :: dupl_ type(psb_ctxt_type) :: ctxt integer(psb_ipk_) :: np, me, err_act integer(psb_ipk_), allocatable :: irl(:) @@ -349,8 +368,7 @@ subroutine psb_lins_vect_r2(m, irw, val, x, desc_a, info, local) do i=1,n if (.not.allocated(x(i)%v)) info = psb_err_invalid_vect_state_ - if (info == 0) dupl_ = x(i)%get_dupl() - if (info == 0) call x(i)%ins(m,irl,val(:,i),dupl_,info) + if (info == 0) call x(i)%ins(m,irl,val(:,i),info) if (info /= 0) exit end do if (info /= 0) then @@ -390,7 +408,7 @@ subroutine psb_lins_multivect(m, irw, val, x, desc_a, info, local) integer(psb_ipk_) :: i, loc_rows,loc_cols integer(psb_lpk_) :: mglob type(psb_ctxt_type) :: ctxt - integer(psb_ipk_) :: np, me, dupl_, err_act + integer(psb_ipk_) :: np, me, err_act integer(psb_ipk_), allocatable :: irl(:) logical :: local_ character(len=20) :: name @@ -446,7 +464,6 @@ subroutine psb_lins_multivect(m, irw, val, x, desc_a, info, local) goto 9999 endif - dupl_ = x%get_dupl() if (present(local)) then local_ = local else @@ -458,7 +475,7 @@ subroutine psb_lins_multivect(m, irw, val, x, desc_a, info, local) else call desc_a%indxmap%g2l(irw(1:m),irl(1:m),info,owned=.true.) end if - call x%ins(m,irl,val,dupl_,info) + call x%ins(m,irl,val,info) if (info /= 0) then call psb_errpush(info,name) goto 9999 diff --git a/base/tools/psb_s_remote_mat.F90 b/base/tools/psb_s_remote_mat.F90 index 1cccce94..3da9725c 100644 --- a/base/tools/psb_s_remote_mat.F90 +++ b/base/tools/psb_s_remote_mat.F90 @@ -90,8 +90,7 @@ Subroutine psb_ls_remote_mat(a,desc_a,b,info) type(psb_ctxt_type) :: ctxt integer(psb_ipk_) :: np,me integer(psb_ipk_) :: counter, proc, i, n_el_send,n_el_recv, & - & n_elem, j, ipx,mat_recv, idxs,idxr,& - & data_,totxch,nxs, nxr, ncg + & n_elem, j, ipx,idxs,idxr integer(psb_lpk_) :: r, k, irmin, irmax, icmin, icmax, iszs, iszr, & & lidx, l1, lnr, lnc, lnnz, idx, ngtz, tot_elem integer(psb_lpk_) :: nz,nouth @@ -140,14 +139,14 @@ Subroutine psb_ls_remote_mat(a,desc_a,b,info) nz = a%get_nzeros() - allocate(ila(nz)) + !allocate(ila(nz)) !write(0,*) me,name,' size :',nz,size(ila) - call desc_a%g2l(a%ia(1:nz),ila(1:nz),info,owned=.false.) - nouth = count(ila(1:nz)<0) + !call desc_a%g2l(a%ia(1:nz),ila(1:nz),info,owned=.false.) + !nouth = count(ila(1:nz)<0) !write(0,*) me,name,' Count out of halo :',nouth - call psb_max(ctxt,nouth) - if ((nouth/=0).and.(me==0)) & - & write(0,*) 'Warning: would require reinit of DESC_A' + !call psb_max(ctxt,nouth) + !if ((nouth/=0).and.(me==0)) & + ! & write(0,*) 'Warning: would require reinit of DESC_A' call desc_a%indxmap%fnd_owner(a%ia(1:nz),iprc,info) @@ -277,7 +276,7 @@ Subroutine psb_ls_remote_mat(a,desc_a,b,info) End Subroutine psb_ls_remote_mat -subroutine psb_s_remote_vect(v,desc_a, info) +subroutine psb_s_remote_vect(n,v,iv,desc_a,x,ix, info) use psb_base_mod, psb_protect_name => psb_s_remote_vect #ifdef MPI_MOD @@ -287,29 +286,25 @@ subroutine psb_s_remote_vect(v,desc_a, info) #ifdef MPI_H include 'mpif.h' #endif - - type(psb_s_vect_type),Intent(inout) :: v - type(psb_desc_type),intent(in) :: desc_a - integer(psb_ipk_), intent(out) :: info - + integer(psb_ipk_), intent(in) :: n + real(psb_spk_), Intent(in) :: v(:) + integer(psb_lpk_), Intent(in) :: iv(:) + type(psb_desc_type),intent(in) :: desc_a + real(psb_spk_), allocatable, intent(out) :: x(:) + integer(psb_lpk_), allocatable, intent(out) :: ix(:) + integer(psb_ipk_), intent(out) :: info ! ...local scalars.... type(psb_ctxt_type) :: ctxt integer(psb_ipk_) :: np,me - integer(psb_ipk_) :: counter, proc, i, n_el_send,n_el_recv, & - & n_elem, j, ipx,mat_recv, idxs,idxr,& - & data_,totxch,nxs, nxr, ncg, dupl_ - integer(psb_lpk_) :: r, k, irmin, irmax, icmin, icmax, iszs, iszr, & - & lidx, l1, lnr, lnc, lnnz, idx, ngtz, tot_elem - integer(psb_lpk_) :: nz,nouth + integer(psb_ipk_) :: counter, proc, i, & + & j, idxs,idxr, k, iszs, iszr integer(psb_ipk_) :: nrcvs, nsnds integer(psb_mpk_) :: icomm, minfo integer(psb_mpk_), allocatable :: brvindx(:), & - & rvsz(:), bsdindx(:),sdsz(:), sdsi(:), rvsi(:) - integer(psb_lpk_), allocatable :: iasnd(:), jasnd(:) + & rvsz(:), bsdindx(:), sdsz(:), sdsi(:), rvsi(:) + integer(psb_lpk_), allocatable :: lsnd(:) real(psb_spk_), allocatable :: valsnd(:) - integer(psb_ipk_), allocatable :: ila(:), iprc(:) - logical :: rowcnv_,colcnv_,rowscale_,colscale_ - character(len=5) :: outfmt_ + integer(psb_ipk_), allocatable :: iprc(:) integer(psb_ipk_) :: debug_level, debug_unit, err_act character(len=20) :: name, ch_err @@ -327,150 +322,111 @@ subroutine psb_s_remote_vect(v,desc_a, info) Call psb_info(ctxt, me, np) - dupl_ = v%get_dupl() if (debug_level >= psb_debug_outer_) & & write(debug_unit,*) me,' ',trim(name),': Start' write(0,*) me, 'X_remote_vect implementation to be completed ' -!!$ call b%free() -!!$ -!!$ Allocate(rvsz(np),sdsz(np),sdsi(np),rvsi(np),brvindx(np+1),& -!!$ & bsdindx(np+1), acoo,stat=info) -!!$ -!!$ if (info /= psb_success_) then -!!$ info=psb_err_alloc_dealloc_ -!!$ call psb_errpush(info,name) -!!$ goto 9999 -!!$ end if -!!$ -!!$ -!!$ nz = a%get_nzeros() -!!$ allocate(ila(nz)) -!!$ !write(0,*) me,name,' size :',nz,size(ila) -!!$ call desc_a%g2l(a%ia(1:nz),ila(1:nz),info,owned=.false.) -!!$ nouth = count(ila(1:nz)<0) -!!$ !write(0,*) me,name,' Count out of halo :',nouth -!!$ call psb_max(ctxt,nouth) -!!$ if ((nouth/=0).and.(me==0)) & -!!$ & write(0,*) 'Warning: would require reinit of DESC_A' -!!$ -!!$ call desc_a%indxmap%fnd_owner(a%ia(1:nz),iprc,info) -!!$ -!!$ icomm = desc_a%get_mpic() -!!$ sdsz(:)=0 -!!$ rvsz(:)=0 -!!$ sdsi(:)=0 -!!$ rvsi(:)=0 -!!$ ipx = 1 -!!$ brvindx(:) = 0 -!!$ bsdindx(:) = 0 -!!$ counter=1 -!!$ idx = 0 -!!$ idxs = 0 -!!$ idxr = 0 -!!$ do i=1,nz -!!$ if (iprc(i) >=0) then -!!$ sdsz(iprc(i)+1) = sdsz(iprc(i)+1) +1 -!!$ else -!!$ write(0,*)me,name,' Error from fnd_owner: ',iprc(i) -!!$ end if -!!$ end do -!!$ call mpi_alltoall(sdsz,1,psb_mpi_mpk_,& -!!$ & rvsz,1,psb_mpi_mpk_,icomm,minfo) -!!$ if (minfo /= psb_success_) then -!!$ info=psb_err_from_subroutine_ -!!$ call psb_errpush(info,name,a_err='mpi_alltoall') -!!$ goto 9999 -!!$ end if -!!$ !write(0,*)me,name,' sdsz ',sdsz(:),' rvsz:',rvsz(:) -!!$ nsnds = count(sdsz /= 0) -!!$ nrcvs = count(rvsz /= 0) -!!$ idxs = 0 -!!$ idxr = 0 -!!$ counter = 1 -!!$ Do proc=0,np-1 -!!$ bsdindx(proc+1) = idxs -!!$ idxs = idxs + sdsz(proc+1) -!!$ brvindx(proc+1) = idxr -!!$ idxr = idxr + rvsz(proc+1) -!!$ Enddo -!!$ -!!$ iszs = sum(sdsz) -!!$ iszr = sum(rvsz) -!!$ call acoo%allocate(desc_a%get_global_rows(),desc_a%get_global_cols(),iszr) -!!$ if (psb_errstatus_fatal()) then -!!$ write(0,*) 'Error from acoo%allocate ' -!!$ info = 4010 -!!$ goto 9999 -!!$ end if -!!$ if (debug_level >= psb_debug_outer_)& -!!$ & write(debug_unit,*) me,' ',trim(name),': Sizes:',acoo%get_size(),& -!!$ & ' Send:',sdsz(:),' Receive:',rvsz(:) -!!$ !write(debug_unit,*) me,' ',trim(name),': ',info -!!$ if (info == psb_success_) call psb_ensure_size(max(iszs,1),iasnd,info) -!!$ !write(debug_unit,*) me,' ',trim(name),' iasnd: ',info -!!$ if (info == psb_success_) call psb_ensure_size(max(iszs,1),jasnd,info) -!!$ !write(debug_unit,*) me,' ',trim(name),' jasnd: ',info -!!$ if (info == psb_success_) call psb_ensure_size(max(iszs,1),valsnd,info) -!!$ !write(debug_unit,*) me,' ',trim(name),' valsnd: ',info -!!$ if (info /= psb_success_) then -!!$ info=psb_err_from_subroutine_ -!!$ call psb_errpush(info,name,a_err='ensure_size') -!!$ goto 9999 -!!$ end if -!!$ do k=1, nz -!!$ proc = iprc(k) -!!$ sdsi(proc+1) = sdsi(proc+1) + 1 -!!$ !rvsi(proc) = rvsi(proc) + 1 -!!$ iasnd(bsdindx(proc+1)+sdsi(proc+1)) = a%ia(k) -!!$ jasnd(bsdindx(proc+1)+sdsi(proc+1)) = a%ja(k) -!!$ valsnd(bsdindx(proc+1)+sdsi(proc+1)) = a%val(k) -!!$ end do -!!$ do proc=0,np-1 -!!$ if (sdsi(proc+1) /= sdsz(proc+1)) & -!!$ & write(0,*) me,name,'Send mismacth ',sdsi(proc+1),sdsz(proc+1) -!!$ end do -!!$ -!!$ select case(psb_get_sp_a2av_alg()) -!!$ case(psb_sp_a2av_smpl_triad_) -!!$ call psb_simple_triad_a2av(valsnd,iasnd,jasnd,sdsz,bsdindx,& -!!$ & acoo%val,acoo%ia,acoo%ja,rvsz,brvindx,ctxt,info) -!!$ case(psb_sp_a2av_smpl_v_) -!!$ call psb_simple_a2av(valsnd,sdsz,bsdindx,& -!!$ & acoo%val,rvsz,brvindx,ctxt,info) -!!$ if (info == psb_success_) call psb_simple_a2av(iasnd,sdsz,bsdindx,& -!!$ & acoo%ia,rvsz,brvindx,ctxt,info) -!!$ if (info == psb_success_) call psb_simple_a2av(jasnd,sdsz,bsdindx,& -!!$ & acoo%ja,rvsz,brvindx,ctxt,info) -!!$ case(psb_sp_a2av_mpi_) -!!$ -!!$ call mpi_alltoallv(valsnd,sdsz,bsdindx,psb_mpi_r_spk_,& -!!$ & acoo%val,rvsz,brvindx,psb_mpi_r_spk_,icomm,minfo) -!!$ if (minfo == mpi_success) & -!!$ & call mpi_alltoallv(iasnd,sdsz,bsdindx,psb_mpi_lpk_,& -!!$ & acoo%ia,rvsz,brvindx,psb_mpi_lpk_,icomm,minfo) -!!$ if (minfo == mpi_success) & -!!$ & call mpi_alltoallv(jasnd,sdsz,bsdindx,psb_mpi_lpk_,& -!!$ & acoo%ja,rvsz,brvindx,psb_mpi_lpk_,icomm,minfo) -!!$ if (minfo /= mpi_success) info = minfo -!!$ case default -!!$ info = psb_err_internal_error_ -!!$ call psb_errpush(info,name,a_err='wrong A2AV alg selector') -!!$ goto 9999 -!!$ end select -!!$ -!!$ if (info /= psb_success_) then -!!$ info=psb_err_from_subroutine_ -!!$ call psb_errpush(info,name,a_err='alltoallv') -!!$ goto 9999 -!!$ end if -!!$ call acoo%set_nzeros(iszr) -!!$ call acoo%mv_to_coo(b,info) -!!$ -!!$ Deallocate(brvindx,bsdindx,rvsz,sdsz,& -!!$ & iasnd,jasnd,valsnd,stat=info) -!!$ if (debug_level >= psb_debug_outer_)& -!!$ & write(debug_unit,*) me,' ',trim(name),': Done' + + Allocate(rvsz(np),sdsz(np),sdsi(np),rvsi(np),brvindx(np+1),& + & bsdindx(np+1), stat=info) + + if (info /= psb_success_) then + info=psb_err_alloc_dealloc_ + call psb_errpush(info,name) + goto 9999 + end if + + call desc_a%indxmap%fnd_owner(iv(1:n),iprc,info) + + icomm = desc_a%get_mpic() + sdsz(:) = 0 + rvsz(:) = 0 + sdsi(:) = 0 + rvsi(:) = 0 + brvindx(:) = 0 + bsdindx(:) = 0 + counter = 1 + idxs = 0 + idxr = 0 + do i=1,n + if (iprc(i) >=0) then + sdsz(iprc(i)+1) = sdsz(iprc(i)+1) +1 + else + write(0,*)me,name,' Error from fnd_owner: ',iprc(i) + end if + end do + call mpi_alltoall(sdsz,1,psb_mpi_mpk_,& + & rvsz,1,psb_mpi_mpk_,icomm,minfo) + if (minfo /= psb_success_) then + info=psb_err_from_subroutine_ + call psb_errpush(info,name,a_err='mpi_alltoall') + goto 9999 + end if + !write(0,*)me,name,' sdsz ',sdsz(:),' rvsz:',rvsz(:) + nsnds = count(sdsz /= 0) + nrcvs = count(rvsz /= 0) + idxs = 0 + idxr = 0 + counter = 1 + Do proc=0,np-1 + bsdindx(proc+1) = idxs + idxs = idxs + sdsz(proc+1) + brvindx(proc+1) = idxr + idxr = idxr + rvsz(proc+1) + Enddo + + iszs = sum(sdsz) + iszr = sum(rvsz) + call psb_realloc(iszs,lsnd,info) + if (info == 0) call psb_realloc(iszs,valsnd,info) + if (info == 0) call psb_realloc(iszr,x,info) + if (info == 0) call psb_realloc(iszr,ix,info) + if (info /= psb_success_) then + info=psb_err_from_subroutine_ + call psb_errpush(info,name,a_err='realloc') + goto 9999 + end if + do k=1, n + proc = iprc(k) + sdsi(proc+1) = sdsi(proc+1) + 1 + lsnd(bsdindx(proc+1)+sdsi(proc+1)) = iv(k) + valsnd(bsdindx(proc+1)+sdsi(proc+1)) = v(k) + end do + do proc=0,np-1 + if (sdsi(proc+1) /= sdsz(proc+1)) & + & write(0,*) me,name,'Send mismacth ',sdsi(proc+1),sdsz(proc+1) + end do + + select case(psb_get_sp_a2av_alg()) + case(psb_sp_a2av_smpl_triad_,psb_sp_a2av_smpl_v_) + call psb_simple_a2av(valsnd,sdsz,bsdindx,& + & x,rvsz,brvindx,ctxt,info) + if (info == psb_success_) call psb_simple_a2av(lsnd,sdsz,bsdindx,& + & ix,rvsz,brvindx,ctxt,info) + case(psb_sp_a2av_mpi_) + + call mpi_alltoallv(valsnd,sdsz,bsdindx,psb_mpi_r_spk_,& + & x,rvsz,brvindx,psb_mpi_r_spk_,icomm,minfo) + if (minfo == mpi_success) & + & call mpi_alltoallv(lsnd,sdsz,bsdindx,psb_mpi_lpk_,& + & ix,rvsz,brvindx,psb_mpi_lpk_,icomm,minfo) + if (minfo /= mpi_success) info = minfo + case default + info = psb_err_internal_error_ + call psb_errpush(info,name,a_err='wrong A2AV alg selector') + goto 9999 + end select + + if (info /= psb_success_) then + info=psb_err_from_subroutine_ + call psb_errpush(info,name,a_err='alltoallv') + goto 9999 + end if + + Deallocate(brvindx,bsdindx,rvsz,sdsz,& + & lsnd,valsnd,stat=info) + if (debug_level >= psb_debug_outer_)& + & write(debug_unit,*) me,' ',trim(name),': Done' call psb_erractionrestore(err_act) return @@ -480,5 +436,3 @@ subroutine psb_s_remote_vect(v,desc_a, info) return End Subroutine psb_s_remote_vect - - diff --git a/base/tools/psb_sallc.f90 b/base/tools/psb_sallc.f90 index 13b6368e..951d8128 100644 --- a/base/tools/psb_sallc.f90 +++ b/base/tools/psb_sallc.f90 @@ -116,9 +116,11 @@ subroutine psb_salloc_vect(x, desc_a,info, dupl, bldmode) end if call x%set_dupl(dupl_) call x%set_remote_build(bldmode_) + call x%set_nrmv(0) if (x%is_remote_build()) then nrmt_ = max(100,(desc_a%get_local_cols()-desc_a%get_local_rows())) - allocate(x%rmtv(nrmt_)) + call psb_ensure_size(nrmt_,x%rmtv,info) + call psb_ensure_size(nrmt_,x%rmidx,info) end if call psb_erractionrestore(err_act) @@ -129,6 +131,7 @@ subroutine psb_salloc_vect(x, desc_a,info, dupl, bldmode) return end subroutine psb_salloc_vect + ! Function: psb_salloc_vect_r2 ! Allocates a vector of dense vectors for PSBLAS routines. ! The descriptor may be in either the build or assembled state. diff --git a/base/tools/psb_sasb.f90 b/base/tools/psb_sasb.f90 index 69bc10b2..7238fecf 100644 --- a/base/tools/psb_sasb.f90 +++ b/base/tools/psb_sasb.f90 @@ -104,7 +104,23 @@ subroutine psb_sasb_vect(x, desc_a, info, mold, scratch) call x%free(info) call x%bld(ncol,mold=mold) else - if (x%is_remote_build()) call psb_s_remote_vect(x,desc_a,info) + + if (x%is_remote_build()) then + block + integer(psb_lpk_), allocatable :: lvx(:) + real(psb_spk_), allocatable :: vx(:) + integer(psb_ipk_), allocatable :: ivx(:) + integer(psb_ipk_) :: nrmv, nx, i + + nrmv = x%get_nrmv() + call psb_s_remote_vect(nrmv,x%rmtv,x%rmidx,desc_a,vx,lvx,info) + nx = size(vx) + call psb_realloc(nx,ivx,info) + call desc_a%g2l(lvx,ivx,info,owned=.true.) + call x%ins(nx,ivx,vx,info) + end block + end if + call x%asb(ncol,info) ! ..update halo elements.. call psb_halo(x,desc_a,info) diff --git a/base/tools/psb_sins.f90 b/base/tools/psb_sins.f90 index 2c41be7d..ddead81f 100644 --- a/base/tools/psb_sins.f90 +++ b/base/tools/psb_sins.f90 @@ -116,7 +116,6 @@ subroutine psb_sins_vect(m, irw, val, x, desc_a, info, local) goto 9999 endif - dupl_ = x%get_dupl() if (present(local)) then local_ = local else @@ -128,11 +127,33 @@ subroutine psb_sins_vect(m, irw, val, x, desc_a, info, local) else call desc_a%indxmap%g2l(irw(1:m),irl(1:m),info,owned=.true.) end if - call x%ins(m,irl,val,dupl_,info) + call x%ins(m,irl,val,info) if (info /= 0) then call psb_errpush(info,name) goto 9999 end if + if (x%is_remote_build()) then + block + integer(psb_ipk_) :: j,k + k = x%get_nrmv() + do j=1,m + if (irl(j) < 0 ) then + k = k + 1 + call psb_ensure_size(k,x%rmtv,info) + if (info == 0) call psb_ensure_size(k,x%rmidx,info) + if (info /= 0) then + info = psb_err_alloc_dealloc_ + call psb_errpush(info,name) + goto 9999 + end if + x%rmtv(k) = val(j) + x%rmidx(k) = irw(j) + call x%set_nrmv(k) + end if + end do + end block + end if + deallocate(irl) call psb_erractionrestore(err_act) @@ -180,7 +201,7 @@ subroutine psb_sins_vect_v(m, irw, val, x, desc_a, info, local) integer(psb_ipk_) :: i, loc_rows,loc_cols,err_act integer(psb_lpk_) :: mglob type(psb_ctxt_type) :: ctxt - integer(psb_ipk_) :: np, me, dupl_ + integer(psb_ipk_) :: np, me integer(psb_ipk_), allocatable :: irl(:) real(psb_spk_), allocatable :: lval(:) logical :: local_ @@ -227,7 +248,6 @@ subroutine psb_sins_vect_v(m, irw, val, x, desc_a, info, local) call psb_errpush(info,name) goto 9999 endif - dupl_ = x%get_dupl() if (present(local)) then local_ = local else @@ -241,7 +261,7 @@ subroutine psb_sins_vect_v(m, irw, val, x, desc_a, info, local) call desc_a%indxmap%g2l(irw%v%v(1:m),irl(1:m),info,owned=.true.) end if - call x%ins(m,irl,lval,dupl_,info) + call x%ins(m,irl,lval,info) if (info /= 0) then call psb_errpush(info,name) goto 9999 @@ -277,7 +297,6 @@ subroutine psb_sins_vect_r2(m, irw, val, x, desc_a, info, local) !locals..... integer(psb_ipk_) :: i, loc_rows,loc_cols, n integer(psb_lpk_) :: mglob - integer(psb_ipk_) :: dupl_ type(psb_ctxt_type) :: ctxt integer(psb_ipk_) :: np, me, err_act integer(psb_ipk_), allocatable :: irl(:) @@ -349,8 +368,7 @@ subroutine psb_sins_vect_r2(m, irw, val, x, desc_a, info, local) do i=1,n if (.not.allocated(x(i)%v)) info = psb_err_invalid_vect_state_ - if (info == 0) dupl_ = x(i)%get_dupl() - if (info == 0) call x(i)%ins(m,irl,val(:,i),dupl_,info) + if (info == 0) call x(i)%ins(m,irl,val(:,i),info) if (info /= 0) exit end do if (info /= 0) then @@ -390,7 +408,7 @@ subroutine psb_sins_multivect(m, irw, val, x, desc_a, info, local) integer(psb_ipk_) :: i, loc_rows,loc_cols integer(psb_lpk_) :: mglob type(psb_ctxt_type) :: ctxt - integer(psb_ipk_) :: np, me, dupl_, err_act + integer(psb_ipk_) :: np, me, err_act integer(psb_ipk_), allocatable :: irl(:) logical :: local_ character(len=20) :: name @@ -446,7 +464,6 @@ subroutine psb_sins_multivect(m, irw, val, x, desc_a, info, local) goto 9999 endif - dupl_ = x%get_dupl() if (present(local)) then local_ = local else @@ -458,7 +475,7 @@ subroutine psb_sins_multivect(m, irw, val, x, desc_a, info, local) else call desc_a%indxmap%g2l(irw(1:m),irl(1:m),info,owned=.true.) end if - call x%ins(m,irl,val,dupl_,info) + call x%ins(m,irl,val,info) if (info /= 0) then call psb_errpush(info,name) goto 9999 diff --git a/base/tools/psb_sspasb.f90 b/base/tools/psb_sspasb.f90 index 4b0c8ad4..143e7a2f 100644 --- a/base/tools/psb_sspasb.f90 +++ b/base/tools/psb_sspasb.f90 @@ -108,8 +108,7 @@ subroutine psb_sspasb(a,desc_a, info, afmt, upd, mold) integer(psb_ipk_), allocatable :: ila(:), jla(:) integer(psb_ipk_) :: nz, nzt,k call psb_remote_mat(a%rmta,desc_a,a_add,info) - nz = a_add%get_nzeros() -!!$ write(0,*) me,name,' Nz to be added',nz + nz = a_add%get_nzeros() nzt = nz call psb_sum(ctxt,nzt) if (nzt>0) then diff --git a/base/tools/psb_z_remote_mat.F90 b/base/tools/psb_z_remote_mat.F90 index 2c921570..7929c1e5 100644 --- a/base/tools/psb_z_remote_mat.F90 +++ b/base/tools/psb_z_remote_mat.F90 @@ -90,8 +90,7 @@ Subroutine psb_lz_remote_mat(a,desc_a,b,info) type(psb_ctxt_type) :: ctxt integer(psb_ipk_) :: np,me integer(psb_ipk_) :: counter, proc, i, n_el_send,n_el_recv, & - & n_elem, j, ipx,mat_recv, idxs,idxr,& - & data_,totxch,nxs, nxr, ncg + & n_elem, j, ipx,idxs,idxr integer(psb_lpk_) :: r, k, irmin, irmax, icmin, icmax, iszs, iszr, & & lidx, l1, lnr, lnc, lnnz, idx, ngtz, tot_elem integer(psb_lpk_) :: nz,nouth @@ -140,14 +139,14 @@ Subroutine psb_lz_remote_mat(a,desc_a,b,info) nz = a%get_nzeros() - allocate(ila(nz)) + !allocate(ila(nz)) !write(0,*) me,name,' size :',nz,size(ila) - call desc_a%g2l(a%ia(1:nz),ila(1:nz),info,owned=.false.) - nouth = count(ila(1:nz)<0) + !call desc_a%g2l(a%ia(1:nz),ila(1:nz),info,owned=.false.) + !nouth = count(ila(1:nz)<0) !write(0,*) me,name,' Count out of halo :',nouth - call psb_max(ctxt,nouth) - if ((nouth/=0).and.(me==0)) & - & write(0,*) 'Warning: would require reinit of DESC_A' + !call psb_max(ctxt,nouth) + !if ((nouth/=0).and.(me==0)) & + ! & write(0,*) 'Warning: would require reinit of DESC_A' call desc_a%indxmap%fnd_owner(a%ia(1:nz),iprc,info) @@ -277,7 +276,7 @@ Subroutine psb_lz_remote_mat(a,desc_a,b,info) End Subroutine psb_lz_remote_mat -subroutine psb_z_remote_vect(v,desc_a, info) +subroutine psb_z_remote_vect(n,v,iv,desc_a,x,ix, info) use psb_base_mod, psb_protect_name => psb_z_remote_vect #ifdef MPI_MOD @@ -287,29 +286,25 @@ subroutine psb_z_remote_vect(v,desc_a, info) #ifdef MPI_H include 'mpif.h' #endif - - type(psb_z_vect_type),Intent(inout) :: v - type(psb_desc_type),intent(in) :: desc_a - integer(psb_ipk_), intent(out) :: info - + integer(psb_ipk_), intent(in) :: n + complex(psb_dpk_), Intent(in) :: v(:) + integer(psb_lpk_), Intent(in) :: iv(:) + type(psb_desc_type),intent(in) :: desc_a + complex(psb_dpk_), allocatable, intent(out) :: x(:) + integer(psb_lpk_), allocatable, intent(out) :: ix(:) + integer(psb_ipk_), intent(out) :: info ! ...local scalars.... type(psb_ctxt_type) :: ctxt integer(psb_ipk_) :: np,me - integer(psb_ipk_) :: counter, proc, i, n_el_send,n_el_recv, & - & n_elem, j, ipx,mat_recv, idxs,idxr,& - & data_,totxch,nxs, nxr, ncg, dupl_ - integer(psb_lpk_) :: r, k, irmin, irmax, icmin, icmax, iszs, iszr, & - & lidx, l1, lnr, lnc, lnnz, idx, ngtz, tot_elem - integer(psb_lpk_) :: nz,nouth + integer(psb_ipk_) :: counter, proc, i, & + & j, idxs,idxr, k, iszs, iszr integer(psb_ipk_) :: nrcvs, nsnds integer(psb_mpk_) :: icomm, minfo integer(psb_mpk_), allocatable :: brvindx(:), & - & rvsz(:), bsdindx(:),sdsz(:), sdsi(:), rvsi(:) - integer(psb_lpk_), allocatable :: iasnd(:), jasnd(:) + & rvsz(:), bsdindx(:), sdsz(:), sdsi(:), rvsi(:) + integer(psb_lpk_), allocatable :: lsnd(:) complex(psb_dpk_), allocatable :: valsnd(:) - integer(psb_ipk_), allocatable :: ila(:), iprc(:) - logical :: rowcnv_,colcnv_,rowscale_,colscale_ - character(len=5) :: outfmt_ + integer(psb_ipk_), allocatable :: iprc(:) integer(psb_ipk_) :: debug_level, debug_unit, err_act character(len=20) :: name, ch_err @@ -327,150 +322,111 @@ subroutine psb_z_remote_vect(v,desc_a, info) Call psb_info(ctxt, me, np) - dupl_ = v%get_dupl() if (debug_level >= psb_debug_outer_) & & write(debug_unit,*) me,' ',trim(name),': Start' write(0,*) me, 'X_remote_vect implementation to be completed ' -!!$ call b%free() -!!$ -!!$ Allocate(rvsz(np),sdsz(np),sdsi(np),rvsi(np),brvindx(np+1),& -!!$ & bsdindx(np+1), acoo,stat=info) -!!$ -!!$ if (info /= psb_success_) then -!!$ info=psb_err_alloc_dealloc_ -!!$ call psb_errpush(info,name) -!!$ goto 9999 -!!$ end if -!!$ -!!$ -!!$ nz = a%get_nzeros() -!!$ allocate(ila(nz)) -!!$ !write(0,*) me,name,' size :',nz,size(ila) -!!$ call desc_a%g2l(a%ia(1:nz),ila(1:nz),info,owned=.false.) -!!$ nouth = count(ila(1:nz)<0) -!!$ !write(0,*) me,name,' Count out of halo :',nouth -!!$ call psb_max(ctxt,nouth) -!!$ if ((nouth/=0).and.(me==0)) & -!!$ & write(0,*) 'Warning: would require reinit of DESC_A' -!!$ -!!$ call desc_a%indxmap%fnd_owner(a%ia(1:nz),iprc,info) -!!$ -!!$ icomm = desc_a%get_mpic() -!!$ sdsz(:)=0 -!!$ rvsz(:)=0 -!!$ sdsi(:)=0 -!!$ rvsi(:)=0 -!!$ ipx = 1 -!!$ brvindx(:) = 0 -!!$ bsdindx(:) = 0 -!!$ counter=1 -!!$ idx = 0 -!!$ idxs = 0 -!!$ idxr = 0 -!!$ do i=1,nz -!!$ if (iprc(i) >=0) then -!!$ sdsz(iprc(i)+1) = sdsz(iprc(i)+1) +1 -!!$ else -!!$ write(0,*)me,name,' Error from fnd_owner: ',iprc(i) -!!$ end if -!!$ end do -!!$ call mpi_alltoall(sdsz,1,psb_mpi_mpk_,& -!!$ & rvsz,1,psb_mpi_mpk_,icomm,minfo) -!!$ if (minfo /= psb_success_) then -!!$ info=psb_err_from_subroutine_ -!!$ call psb_errpush(info,name,a_err='mpi_alltoall') -!!$ goto 9999 -!!$ end if -!!$ !write(0,*)me,name,' sdsz ',sdsz(:),' rvsz:',rvsz(:) -!!$ nsnds = count(sdsz /= 0) -!!$ nrcvs = count(rvsz /= 0) -!!$ idxs = 0 -!!$ idxr = 0 -!!$ counter = 1 -!!$ Do proc=0,np-1 -!!$ bsdindx(proc+1) = idxs -!!$ idxs = idxs + sdsz(proc+1) -!!$ brvindx(proc+1) = idxr -!!$ idxr = idxr + rvsz(proc+1) -!!$ Enddo -!!$ -!!$ iszs = sum(sdsz) -!!$ iszr = sum(rvsz) -!!$ call acoo%allocate(desc_a%get_global_rows(),desc_a%get_global_cols(),iszr) -!!$ if (psb_errstatus_fatal()) then -!!$ write(0,*) 'Error from acoo%allocate ' -!!$ info = 4010 -!!$ goto 9999 -!!$ end if -!!$ if (debug_level >= psb_debug_outer_)& -!!$ & write(debug_unit,*) me,' ',trim(name),': Sizes:',acoo%get_size(),& -!!$ & ' Send:',sdsz(:),' Receive:',rvsz(:) -!!$ !write(debug_unit,*) me,' ',trim(name),': ',info -!!$ if (info == psb_success_) call psb_ensure_size(max(iszs,1),iasnd,info) -!!$ !write(debug_unit,*) me,' ',trim(name),' iasnd: ',info -!!$ if (info == psb_success_) call psb_ensure_size(max(iszs,1),jasnd,info) -!!$ !write(debug_unit,*) me,' ',trim(name),' jasnd: ',info -!!$ if (info == psb_success_) call psb_ensure_size(max(iszs,1),valsnd,info) -!!$ !write(debug_unit,*) me,' ',trim(name),' valsnd: ',info -!!$ if (info /= psb_success_) then -!!$ info=psb_err_from_subroutine_ -!!$ call psb_errpush(info,name,a_err='ensure_size') -!!$ goto 9999 -!!$ end if -!!$ do k=1, nz -!!$ proc = iprc(k) -!!$ sdsi(proc+1) = sdsi(proc+1) + 1 -!!$ !rvsi(proc) = rvsi(proc) + 1 -!!$ iasnd(bsdindx(proc+1)+sdsi(proc+1)) = a%ia(k) -!!$ jasnd(bsdindx(proc+1)+sdsi(proc+1)) = a%ja(k) -!!$ valsnd(bsdindx(proc+1)+sdsi(proc+1)) = a%val(k) -!!$ end do -!!$ do proc=0,np-1 -!!$ if (sdsi(proc+1) /= sdsz(proc+1)) & -!!$ & write(0,*) me,name,'Send mismacth ',sdsi(proc+1),sdsz(proc+1) -!!$ end do -!!$ -!!$ select case(psb_get_sp_a2av_alg()) -!!$ case(psb_sp_a2av_smpl_triad_) -!!$ call psb_simple_triad_a2av(valsnd,iasnd,jasnd,sdsz,bsdindx,& -!!$ & acoo%val,acoo%ia,acoo%ja,rvsz,brvindx,ctxt,info) -!!$ case(psb_sp_a2av_smpl_v_) -!!$ call psb_simple_a2av(valsnd,sdsz,bsdindx,& -!!$ & acoo%val,rvsz,brvindx,ctxt,info) -!!$ if (info == psb_success_) call psb_simple_a2av(iasnd,sdsz,bsdindx,& -!!$ & acoo%ia,rvsz,brvindx,ctxt,info) -!!$ if (info == psb_success_) call psb_simple_a2av(jasnd,sdsz,bsdindx,& -!!$ & acoo%ja,rvsz,brvindx,ctxt,info) -!!$ case(psb_sp_a2av_mpi_) -!!$ -!!$ call mpi_alltoallv(valsnd,sdsz,bsdindx,psb_mpi_c_dpk_,& -!!$ & acoo%val,rvsz,brvindx,psb_mpi_c_dpk_,icomm,minfo) -!!$ if (minfo == mpi_success) & -!!$ & call mpi_alltoallv(iasnd,sdsz,bsdindx,psb_mpi_lpk_,& -!!$ & acoo%ia,rvsz,brvindx,psb_mpi_lpk_,icomm,minfo) -!!$ if (minfo == mpi_success) & -!!$ & call mpi_alltoallv(jasnd,sdsz,bsdindx,psb_mpi_lpk_,& -!!$ & acoo%ja,rvsz,brvindx,psb_mpi_lpk_,icomm,minfo) -!!$ if (minfo /= mpi_success) info = minfo -!!$ case default -!!$ info = psb_err_internal_error_ -!!$ call psb_errpush(info,name,a_err='wrong A2AV alg selector') -!!$ goto 9999 -!!$ end select -!!$ -!!$ if (info /= psb_success_) then -!!$ info=psb_err_from_subroutine_ -!!$ call psb_errpush(info,name,a_err='alltoallv') -!!$ goto 9999 -!!$ end if -!!$ call acoo%set_nzeros(iszr) -!!$ call acoo%mv_to_coo(b,info) -!!$ -!!$ Deallocate(brvindx,bsdindx,rvsz,sdsz,& -!!$ & iasnd,jasnd,valsnd,stat=info) -!!$ if (debug_level >= psb_debug_outer_)& -!!$ & write(debug_unit,*) me,' ',trim(name),': Done' + + Allocate(rvsz(np),sdsz(np),sdsi(np),rvsi(np),brvindx(np+1),& + & bsdindx(np+1), stat=info) + + if (info /= psb_success_) then + info=psb_err_alloc_dealloc_ + call psb_errpush(info,name) + goto 9999 + end if + + call desc_a%indxmap%fnd_owner(iv(1:n),iprc,info) + + icomm = desc_a%get_mpic() + sdsz(:) = 0 + rvsz(:) = 0 + sdsi(:) = 0 + rvsi(:) = 0 + brvindx(:) = 0 + bsdindx(:) = 0 + counter = 1 + idxs = 0 + idxr = 0 + do i=1,n + if (iprc(i) >=0) then + sdsz(iprc(i)+1) = sdsz(iprc(i)+1) +1 + else + write(0,*)me,name,' Error from fnd_owner: ',iprc(i) + end if + end do + call mpi_alltoall(sdsz,1,psb_mpi_mpk_,& + & rvsz,1,psb_mpi_mpk_,icomm,minfo) + if (minfo /= psb_success_) then + info=psb_err_from_subroutine_ + call psb_errpush(info,name,a_err='mpi_alltoall') + goto 9999 + end if + !write(0,*)me,name,' sdsz ',sdsz(:),' rvsz:',rvsz(:) + nsnds = count(sdsz /= 0) + nrcvs = count(rvsz /= 0) + idxs = 0 + idxr = 0 + counter = 1 + Do proc=0,np-1 + bsdindx(proc+1) = idxs + idxs = idxs + sdsz(proc+1) + brvindx(proc+1) = idxr + idxr = idxr + rvsz(proc+1) + Enddo + + iszs = sum(sdsz) + iszr = sum(rvsz) + call psb_realloc(iszs,lsnd,info) + if (info == 0) call psb_realloc(iszs,valsnd,info) + if (info == 0) call psb_realloc(iszr,x,info) + if (info == 0) call psb_realloc(iszr,ix,info) + if (info /= psb_success_) then + info=psb_err_from_subroutine_ + call psb_errpush(info,name,a_err='realloc') + goto 9999 + end if + do k=1, n + proc = iprc(k) + sdsi(proc+1) = sdsi(proc+1) + 1 + lsnd(bsdindx(proc+1)+sdsi(proc+1)) = iv(k) + valsnd(bsdindx(proc+1)+sdsi(proc+1)) = v(k) + end do + do proc=0,np-1 + if (sdsi(proc+1) /= sdsz(proc+1)) & + & write(0,*) me,name,'Send mismacth ',sdsi(proc+1),sdsz(proc+1) + end do + + select case(psb_get_sp_a2av_alg()) + case(psb_sp_a2av_smpl_triad_,psb_sp_a2av_smpl_v_) + call psb_simple_a2av(valsnd,sdsz,bsdindx,& + & x,rvsz,brvindx,ctxt,info) + if (info == psb_success_) call psb_simple_a2av(lsnd,sdsz,bsdindx,& + & ix,rvsz,brvindx,ctxt,info) + case(psb_sp_a2av_mpi_) + + call mpi_alltoallv(valsnd,sdsz,bsdindx,psb_mpi_c_dpk_,& + & x,rvsz,brvindx,psb_mpi_c_dpk_,icomm,minfo) + if (minfo == mpi_success) & + & call mpi_alltoallv(lsnd,sdsz,bsdindx,psb_mpi_lpk_,& + & ix,rvsz,brvindx,psb_mpi_lpk_,icomm,minfo) + if (minfo /= mpi_success) info = minfo + case default + info = psb_err_internal_error_ + call psb_errpush(info,name,a_err='wrong A2AV alg selector') + goto 9999 + end select + + if (info /= psb_success_) then + info=psb_err_from_subroutine_ + call psb_errpush(info,name,a_err='alltoallv') + goto 9999 + end if + + Deallocate(brvindx,bsdindx,rvsz,sdsz,& + & lsnd,valsnd,stat=info) + if (debug_level >= psb_debug_outer_)& + & write(debug_unit,*) me,' ',trim(name),': Done' call psb_erractionrestore(err_act) return @@ -480,5 +436,3 @@ subroutine psb_z_remote_vect(v,desc_a, info) return End Subroutine psb_z_remote_vect - - diff --git a/base/tools/psb_zallc.f90 b/base/tools/psb_zallc.f90 index d40ce62a..be4d9089 100644 --- a/base/tools/psb_zallc.f90 +++ b/base/tools/psb_zallc.f90 @@ -116,9 +116,11 @@ subroutine psb_zalloc_vect(x, desc_a,info, dupl, bldmode) end if call x%set_dupl(dupl_) call x%set_remote_build(bldmode_) + call x%set_nrmv(0) if (x%is_remote_build()) then nrmt_ = max(100,(desc_a%get_local_cols()-desc_a%get_local_rows())) - allocate(x%rmtv(nrmt_)) + call psb_ensure_size(nrmt_,x%rmtv,info) + call psb_ensure_size(nrmt_,x%rmidx,info) end if call psb_erractionrestore(err_act) @@ -129,6 +131,7 @@ subroutine psb_zalloc_vect(x, desc_a,info, dupl, bldmode) return end subroutine psb_zalloc_vect + ! Function: psb_zalloc_vect_r2 ! Allocates a vector of dense vectors for PSBLAS routines. ! The descriptor may be in either the build or assembled state. diff --git a/base/tools/psb_zasb.f90 b/base/tools/psb_zasb.f90 index 1cca7ea2..11c08d6d 100644 --- a/base/tools/psb_zasb.f90 +++ b/base/tools/psb_zasb.f90 @@ -104,7 +104,23 @@ subroutine psb_zasb_vect(x, desc_a, info, mold, scratch) call x%free(info) call x%bld(ncol,mold=mold) else - if (x%is_remote_build()) call psb_z_remote_vect(x,desc_a,info) + + if (x%is_remote_build()) then + block + integer(psb_lpk_), allocatable :: lvx(:) + complex(psb_dpk_), allocatable :: vx(:) + integer(psb_ipk_), allocatable :: ivx(:) + integer(psb_ipk_) :: nrmv, nx, i + + nrmv = x%get_nrmv() + call psb_z_remote_vect(nrmv,x%rmtv,x%rmidx,desc_a,vx,lvx,info) + nx = size(vx) + call psb_realloc(nx,ivx,info) + call desc_a%g2l(lvx,ivx,info,owned=.true.) + call x%ins(nx,ivx,vx,info) + end block + end if + call x%asb(ncol,info) ! ..update halo elements.. call psb_halo(x,desc_a,info) diff --git a/base/tools/psb_zins.f90 b/base/tools/psb_zins.f90 index 4d000093..43e5d5cd 100644 --- a/base/tools/psb_zins.f90 +++ b/base/tools/psb_zins.f90 @@ -116,7 +116,6 @@ subroutine psb_zins_vect(m, irw, val, x, desc_a, info, local) goto 9999 endif - dupl_ = x%get_dupl() if (present(local)) then local_ = local else @@ -128,11 +127,33 @@ subroutine psb_zins_vect(m, irw, val, x, desc_a, info, local) else call desc_a%indxmap%g2l(irw(1:m),irl(1:m),info,owned=.true.) end if - call x%ins(m,irl,val,dupl_,info) + call x%ins(m,irl,val,info) if (info /= 0) then call psb_errpush(info,name) goto 9999 end if + if (x%is_remote_build()) then + block + integer(psb_ipk_) :: j,k + k = x%get_nrmv() + do j=1,m + if (irl(j) < 0 ) then + k = k + 1 + call psb_ensure_size(k,x%rmtv,info) + if (info == 0) call psb_ensure_size(k,x%rmidx,info) + if (info /= 0) then + info = psb_err_alloc_dealloc_ + call psb_errpush(info,name) + goto 9999 + end if + x%rmtv(k) = val(j) + x%rmidx(k) = irw(j) + call x%set_nrmv(k) + end if + end do + end block + end if + deallocate(irl) call psb_erractionrestore(err_act) @@ -180,7 +201,7 @@ subroutine psb_zins_vect_v(m, irw, val, x, desc_a, info, local) integer(psb_ipk_) :: i, loc_rows,loc_cols,err_act integer(psb_lpk_) :: mglob type(psb_ctxt_type) :: ctxt - integer(psb_ipk_) :: np, me, dupl_ + integer(psb_ipk_) :: np, me integer(psb_ipk_), allocatable :: irl(:) complex(psb_dpk_), allocatable :: lval(:) logical :: local_ @@ -227,7 +248,6 @@ subroutine psb_zins_vect_v(m, irw, val, x, desc_a, info, local) call psb_errpush(info,name) goto 9999 endif - dupl_ = x%get_dupl() if (present(local)) then local_ = local else @@ -241,7 +261,7 @@ subroutine psb_zins_vect_v(m, irw, val, x, desc_a, info, local) call desc_a%indxmap%g2l(irw%v%v(1:m),irl(1:m),info,owned=.true.) end if - call x%ins(m,irl,lval,dupl_,info) + call x%ins(m,irl,lval,info) if (info /= 0) then call psb_errpush(info,name) goto 9999 @@ -277,7 +297,6 @@ subroutine psb_zins_vect_r2(m, irw, val, x, desc_a, info, local) !locals..... integer(psb_ipk_) :: i, loc_rows,loc_cols, n integer(psb_lpk_) :: mglob - integer(psb_ipk_) :: dupl_ type(psb_ctxt_type) :: ctxt integer(psb_ipk_) :: np, me, err_act integer(psb_ipk_), allocatable :: irl(:) @@ -349,8 +368,7 @@ subroutine psb_zins_vect_r2(m, irw, val, x, desc_a, info, local) do i=1,n if (.not.allocated(x(i)%v)) info = psb_err_invalid_vect_state_ - if (info == 0) dupl_ = x(i)%get_dupl() - if (info == 0) call x(i)%ins(m,irl,val(:,i),dupl_,info) + if (info == 0) call x(i)%ins(m,irl,val(:,i),info) if (info /= 0) exit end do if (info /= 0) then @@ -390,7 +408,7 @@ subroutine psb_zins_multivect(m, irw, val, x, desc_a, info, local) integer(psb_ipk_) :: i, loc_rows,loc_cols integer(psb_lpk_) :: mglob type(psb_ctxt_type) :: ctxt - integer(psb_ipk_) :: np, me, dupl_, err_act + integer(psb_ipk_) :: np, me, err_act integer(psb_ipk_), allocatable :: irl(:) logical :: local_ character(len=20) :: name @@ -446,7 +464,6 @@ subroutine psb_zins_multivect(m, irw, val, x, desc_a, info, local) goto 9999 endif - dupl_ = x%get_dupl() if (present(local)) then local_ = local else @@ -458,7 +475,7 @@ subroutine psb_zins_multivect(m, irw, val, x, desc_a, info, local) else call desc_a%indxmap%g2l(irw(1:m),irl(1:m),info,owned=.true.) end if - call x%ins(m,irl,val,dupl_,info) + call x%ins(m,irl,val,info) if (info /= 0) then call psb_errpush(info,name) goto 9999 diff --git a/base/tools/psb_zspasb.f90 b/base/tools/psb_zspasb.f90 index 4f516f74..db229b17 100644 --- a/base/tools/psb_zspasb.f90 +++ b/base/tools/psb_zspasb.f90 @@ -108,8 +108,7 @@ subroutine psb_zspasb(a,desc_a, info, afmt, upd, mold) integer(psb_ipk_), allocatable :: ila(:), jla(:) integer(psb_ipk_) :: nz, nzt,k call psb_remote_mat(a%rmta,desc_a,a_add,info) - nz = a_add%get_nzeros() -!!$ write(0,*) me,name,' Nz to be added',nz + nz = a_add%get_nzeros() nzt = nz call psb_sum(ctxt,nzt) if (nzt>0) then From b664291532b15d92217f7915123a40c4311e317a Mon Sep 17 00:00:00 2001 From: cirdans-home Date: Fri, 1 Apr 2022 13:02:38 -0400 Subject: [PATCH 22/28] Added C interface for remote vector allocate --- cbind/base/psb_c_cbase.h | 1 + cbind/base/psb_c_dbase.h | 1 + cbind/base/psb_c_sbase.h | 1 + cbind/base/psb_c_tools_cbind_mod.F90 | 31 +++++++++++++++++++++++++++- cbind/base/psb_c_zbase.h | 1 + cbind/base/psb_d_tools_cbind_mod.F90 | 31 +++++++++++++++++++++++++++- cbind/base/psb_s_tools_cbind_mod.F90 | 31 +++++++++++++++++++++++++++- cbind/base/psb_z_tools_cbind_mod.F90 | 31 +++++++++++++++++++++++++++- 8 files changed, 124 insertions(+), 4 deletions(-) diff --git a/cbind/base/psb_c_cbase.h b/cbind/base/psb_c_cbase.h index 83b51b8b..bff9633a 100644 --- a/cbind/base/psb_c_cbase.h +++ b/cbind/base/psb_c_cbase.h @@ -24,6 +24,7 @@ psb_i_t psb_c_cvect_zero(psb_c_cvector *xh); psb_i_t *psb_c_cvect_f_get_pnt(psb_c_cvector *xh); psb_i_t psb_c_cgeall(psb_c_cvector *xh, psb_c_descriptor *cdh); +psb_i_t psb_c_cgeall_remote(psb_c_cvector *xh, psb_c_descriptor *cdh); psb_i_t psb_c_cgeins(psb_i_t nz, const psb_l_t *irw, const psb_c_t *val, psb_c_cvector *xh, psb_c_descriptor *cdh); psb_i_t psb_c_cgeins_add(psb_i_t nz, const psb_l_t *irw, const psb_c_t *val, diff --git a/cbind/base/psb_c_dbase.h b/cbind/base/psb_c_dbase.h index 8733dd46..591f885b 100644 --- a/cbind/base/psb_c_dbase.h +++ b/cbind/base/psb_c_dbase.h @@ -24,6 +24,7 @@ psb_i_t psb_c_dvect_zero(psb_c_dvector *xh); psb_d_t *psb_c_dvect_f_get_pnt( psb_c_dvector *xh); psb_i_t psb_c_dgeall(psb_c_dvector *xh, psb_c_descriptor *cdh); +psb_i_t psb_c_dgeall_remote(psb_c_dvector *xh, psb_c_descriptor *cdh); psb_i_t psb_c_dgeins(psb_i_t nz, const psb_l_t *irw, const psb_d_t *val, psb_c_dvector *xh, psb_c_descriptor *cdh); psb_i_t psb_c_dgeins_add(psb_i_t nz, const psb_l_t *irw, const psb_d_t *val, diff --git a/cbind/base/psb_c_sbase.h b/cbind/base/psb_c_sbase.h index d3a88044..68abefdd 100644 --- a/cbind/base/psb_c_sbase.h +++ b/cbind/base/psb_c_sbase.h @@ -24,6 +24,7 @@ psb_i_t psb_c_svect_zero(psb_c_svector *xh); psb_s_t *psb_c_svect_f_get_pnt( psb_c_svector *xh); psb_i_t psb_c_sgeall(psb_c_svector *xh, psb_c_descriptor *cdh); +psb_i_t psb_c_sgeall_remote(psb_c_svector *xh, psb_c_descriptor *cdh); psb_i_t psb_c_sgeins(psb_i_t nz, const psb_l_t *irw, const psb_s_t *val, psb_c_svector *xh, psb_c_descriptor *cdh); psb_i_t psb_c_sgeins_add(psb_i_t nz, const psb_l_t *irw, const psb_s_t *val, diff --git a/cbind/base/psb_c_tools_cbind_mod.F90 b/cbind/base/psb_c_tools_cbind_mod.F90 index 8346dc14..8f64cbb0 100644 --- a/cbind/base/psb_c_tools_cbind_mod.F90 +++ b/cbind/base/psb_c_tools_cbind_mod.F90 @@ -38,6 +38,35 @@ contains return end function psb_c_cgeall + function psb_c_cgeall_remote(xh,cdh) bind(c) result(res) + + implicit none + integer(psb_c_ipk_) :: res + type(psb_c_cvector) :: xh + type(psb_c_descriptor) :: cdh + + type(psb_desc_type), pointer :: descp + type(psb_c_vect_type), pointer :: xp + integer(psb_c_ipk_) :: info + + res = -1 + + if (c_associated(cdh%item)) then + call c_f_pointer(cdh%item,descp) + else + return + end if + if (c_associated(xh%item)) then + return + end if + allocate(xp) + call psb_geall(xp,descp,info,bldmode=psb_matbld_remote_,dupl=psb_dupl_add_) + xh%item = c_loc(xp) + res = min(0,info) + + return + end function psb_c_cgeall_remote + function psb_c_cgeasb(xh,cdh) bind(c) result(res) implicit none @@ -193,7 +222,7 @@ contains return end if allocate(ap) - call psb_spall(ap,descp,info,bldmode=psb_matbld_remote_) + call psb_spall(ap,descp,info,bldmode=psb_matbld_remote_,dupl=psb_dupl_add_) mh%item = c_loc(ap) res = min(0,info) diff --git a/cbind/base/psb_c_zbase.h b/cbind/base/psb_c_zbase.h index ce2c5d3e..9a27e9c0 100644 --- a/cbind/base/psb_c_zbase.h +++ b/cbind/base/psb_c_zbase.h @@ -24,6 +24,7 @@ psb_i_t psb_c_zvect_zero(psb_c_zvector *xh); psb_z_t *psb_c_zvect_f_get_pnt( psb_c_zvector *xh); psb_i_t psb_c_zgeall(psb_c_zvector *xh, psb_c_descriptor *cdh); +psb_i_t psb_c_zgeall_remote(psb_c_zvector *xh, psb_c_descriptor *cdh); psb_i_t psb_c_zgeins(psb_i_t nz, const psb_l_t *irw, const psb_z_t *val, psb_c_zvector *xh, psb_c_descriptor *cdh); psb_i_t psb_c_zgeins_add(psb_i_t nz, const psb_l_t *irw, const psb_z_t *val, diff --git a/cbind/base/psb_d_tools_cbind_mod.F90 b/cbind/base/psb_d_tools_cbind_mod.F90 index eb42dcb3..67ae8b86 100644 --- a/cbind/base/psb_d_tools_cbind_mod.F90 +++ b/cbind/base/psb_d_tools_cbind_mod.F90 @@ -38,6 +38,35 @@ contains return end function psb_c_dgeall + function psb_c_dgeall_remote(xh,cdh) bind(c) result(res) + + implicit none + integer(psb_c_ipk_) :: res + type(psb_c_dvector) :: xh + type(psb_c_descriptor) :: cdh + + type(psb_desc_type), pointer :: descp + type(psb_d_vect_type), pointer :: xp + integer(psb_c_ipk_) :: info + + res = -1 + + if (c_associated(cdh%item)) then + call c_f_pointer(cdh%item,descp) + else + return + end if + if (c_associated(xh%item)) then + return + end if + allocate(xp) + call psb_geall(xp,descp,info,bldmode=psb_matbld_remote_,dupl=psb_dupl_add_) + xh%item = c_loc(xp) + res = min(0,info) + + return + end function psb_c_dgeall_remote + function psb_c_dgeasb(xh,cdh) bind(c) result(res) implicit none @@ -193,7 +222,7 @@ contains return end if allocate(ap) - call psb_spall(ap,descp,info,bldmode=psb_matbld_remote_) + call psb_spall(ap,descp,info,bldmode=psb_matbld_remote_,dupl=psb_dupl_add_) mh%item = c_loc(ap) res = min(0,info) diff --git a/cbind/base/psb_s_tools_cbind_mod.F90 b/cbind/base/psb_s_tools_cbind_mod.F90 index fc3e57f0..91d9b322 100644 --- a/cbind/base/psb_s_tools_cbind_mod.F90 +++ b/cbind/base/psb_s_tools_cbind_mod.F90 @@ -38,6 +38,35 @@ contains return end function psb_c_sgeall + function psb_c_sgeall_remote(xh,cdh) bind(c) result(res) + + implicit none + integer(psb_c_ipk_) :: res + type(psb_c_svector) :: xh + type(psb_c_descriptor) :: cdh + + type(psb_desc_type), pointer :: descp + type(psb_s_vect_type), pointer :: xp + integer(psb_c_ipk_) :: info + + res = -1 + + if (c_associated(cdh%item)) then + call c_f_pointer(cdh%item,descp) + else + return + end if + if (c_associated(xh%item)) then + return + end if + allocate(xp) + call psb_geall(xp,descp,info,bldmode=psb_matbld_remote_,dupl=psb_dupl_add_) + xh%item = c_loc(xp) + res = min(0,info) + + return + end function psb_c_sgeall_remote + function psb_c_sgeasb(xh,cdh) bind(c) result(res) implicit none @@ -193,7 +222,7 @@ contains return end if allocate(ap) - call psb_spall(ap,descp,info,bldmode=psb_matbld_remote_) + call psb_spall(ap,descp,info,bldmode=psb_matbld_remote_,dupl=psb_dupl_add_) mh%item = c_loc(ap) res = min(0,info) diff --git a/cbind/base/psb_z_tools_cbind_mod.F90 b/cbind/base/psb_z_tools_cbind_mod.F90 index 13cdf3c1..59d4cca8 100644 --- a/cbind/base/psb_z_tools_cbind_mod.F90 +++ b/cbind/base/psb_z_tools_cbind_mod.F90 @@ -38,6 +38,35 @@ contains return end function psb_c_zgeall + function psb_c_zgeall_remote(xh,cdh) bind(c) result(res) + + implicit none + integer(psb_c_ipk_) :: res + type(psb_c_zvector) :: xh + type(psb_c_descriptor) :: cdh + + type(psb_desc_type), pointer :: descp + type(psb_z_vect_type), pointer :: xp + integer(psb_c_ipk_) :: info + + res = -1 + + if (c_associated(cdh%item)) then + call c_f_pointer(cdh%item,descp) + else + return + end if + if (c_associated(xh%item)) then + return + end if + allocate(xp) + call psb_geall(xp,descp,info,bldmode=psb_matbld_remote_,dupl=psb_dupl_add_) + xh%item = c_loc(xp) + res = min(0,info) + + return + end function psb_c_zgeall_remote + function psb_c_zgeasb(xh,cdh) bind(c) result(res) implicit none @@ -193,7 +222,7 @@ contains return end if allocate(ap) - call psb_spall(ap,descp,info,bldmode=psb_matbld_remote_) + call psb_spall(ap,descp,info,bldmode=psb_matbld_remote_,dupl=psb_dupl_add_) mh%item = c_loc(ap) res = min(0,info) From fc345e13b6e23ec015a30eca763e5c96b071bbea Mon Sep 17 00:00:00 2001 From: Salvatore Filippone Date: Sun, 3 Apr 2022 13:18:07 +0200 Subject: [PATCH 23/28] Clean debug message from remote_vect --- base/tools/psb_c_remote_mat.F90 | 2 -- base/tools/psb_d_remote_mat.F90 | 2 -- base/tools/psb_s_remote_mat.F90 | 2 -- base/tools/psb_z_remote_mat.F90 | 2 -- 4 files changed, 8 deletions(-) diff --git a/base/tools/psb_c_remote_mat.F90 b/base/tools/psb_c_remote_mat.F90 index b66c615b..18c7a91d 100644 --- a/base/tools/psb_c_remote_mat.F90 +++ b/base/tools/psb_c_remote_mat.F90 @@ -324,8 +324,6 @@ subroutine psb_c_remote_vect(n,v,iv,desc_a,x,ix, info) if (debug_level >= psb_debug_outer_) & & write(debug_unit,*) me,' ',trim(name),': Start' - write(0,*) me, 'X_remote_vect implementation to be completed ' - Allocate(rvsz(np),sdsz(np),sdsi(np),rvsi(np),brvindx(np+1),& & bsdindx(np+1), stat=info) diff --git a/base/tools/psb_d_remote_mat.F90 b/base/tools/psb_d_remote_mat.F90 index 1a50e446..a5f12755 100644 --- a/base/tools/psb_d_remote_mat.F90 +++ b/base/tools/psb_d_remote_mat.F90 @@ -324,8 +324,6 @@ subroutine psb_d_remote_vect(n,v,iv,desc_a,x,ix, info) if (debug_level >= psb_debug_outer_) & & write(debug_unit,*) me,' ',trim(name),': Start' - write(0,*) me, 'X_remote_vect implementation to be completed ' - Allocate(rvsz(np),sdsz(np),sdsi(np),rvsi(np),brvindx(np+1),& & bsdindx(np+1), stat=info) diff --git a/base/tools/psb_s_remote_mat.F90 b/base/tools/psb_s_remote_mat.F90 index 3da9725c..d0886304 100644 --- a/base/tools/psb_s_remote_mat.F90 +++ b/base/tools/psb_s_remote_mat.F90 @@ -324,8 +324,6 @@ subroutine psb_s_remote_vect(n,v,iv,desc_a,x,ix, info) if (debug_level >= psb_debug_outer_) & & write(debug_unit,*) me,' ',trim(name),': Start' - write(0,*) me, 'X_remote_vect implementation to be completed ' - Allocate(rvsz(np),sdsz(np),sdsi(np),rvsi(np),brvindx(np+1),& & bsdindx(np+1), stat=info) diff --git a/base/tools/psb_z_remote_mat.F90 b/base/tools/psb_z_remote_mat.F90 index 7929c1e5..fc23bd4a 100644 --- a/base/tools/psb_z_remote_mat.F90 +++ b/base/tools/psb_z_remote_mat.F90 @@ -324,8 +324,6 @@ subroutine psb_z_remote_vect(n,v,iv,desc_a,x,ix, info) if (debug_level >= psb_debug_outer_) & & write(debug_unit,*) me,' ',trim(name),': Start' - write(0,*) me, 'X_remote_vect implementation to be completed ' - Allocate(rvsz(np),sdsz(np),sdsi(np),rvsi(np),brvindx(np+1),& & bsdindx(np+1), stat=info) From 13692946359c1d846ad8807b1c984447943526c9 Mon Sep 17 00:00:00 2001 From: Salvatore Filippone Date: Sun, 3 Apr 2022 18:12:20 +0200 Subject: [PATCH 24/28] Docs for remote build and duplicate handling. --- docs/html/userhtmlsu36.html | 31 +- docs/html/userhtmlsu37.html | 14 +- docs/html/userhtmlsu38.html | 32 +- docs/html/userhtmlsu41.html | 45 +- docs/html/userhtmlsu42.html | 35 +- docs/html/userhtmlsu43.html | 12 +- docs/html/userhtmlsu44.html | 12 +- docs/html/userhtmlsu45.html | 12 +- docs/html/userhtmlsu46.html | 14 +- docs/html/userhtmlsu47.html | 12 +- docs/html/userhtmlsu48.html | 14 +- docs/html/userhtmlsu49.html | 14 +- docs/html/userhtmlsu50.html | 14 +- docs/html/userhtmlsu51.html | 14 +- docs/html/userhtmlsu52.html | 14 +- docs/html/userhtmlsu53.html | 14 +- docs/html/userhtmlsu54.html | 14 +- docs/html/userhtmlsu55.html | 12 +- docs/html/userhtmlsu56.html | 16 +- docs/html/userhtmlsu82.html | 36 +- docs/html/userhtmlsu83.html | 8 +- docs/html/userhtmlsu84.html | 2 +- docs/html/userhtmlsu85.html | 2 +- docs/html/userhtmlsu86.html | 2 +- docs/html/userhtmlsu87.html | 2 +- docs/html/userhtmlsu88.html | 2 +- docs/html/userhtmlsu89.html | 2 +- docs/html/userhtmlsu90.html | 4 - docs/psblas-3.7.pdf | 12666 +++++++++++++++------------------- docs/src/toolsrout.tex | 39 +- 30 files changed, 5943 insertions(+), 7167 deletions(-) diff --git a/docs/html/userhtmlsu36.html b/docs/html/userhtmlsu36.html index b02ac19c..93be49b1 100644 --- a/docs/html/userhtmlsu36.html +++ b/docs/html/userhtmlsu36.html @@ -22,7 +22,7 @@ href="userhtmlsu32.html#userhtmlsu39.html" >up] 

                                          -call psb_spall(a, desc_a, info, nnz, buildmode)
+call psb_spall(a, desc_a, info [, nnz, dupl, buildmode])

                                          @@ -64,6 +64,21 @@ class="cmbx-10">in.
                                          Specified as: an integer value.

                                          dupl
                                          How to handle duplicate coefficients.
                                          Scope: global.
                                          Type: optional.
                                          Intent: in.
                                          Specified as: integer, possible values: psb_dupl_ovwrt_, psb_dupl_add_, + psb_dupl_err_. +
                                          +buildmode
                                          Whether to keep track of matrix entries that do not belong to the current process.
                                          psb_matbld_noremote_, psb_matbld_remote_. Default: psb_matbld_noremote_.
                                          -

                                          +

                                          On Return
                                          + + +
                                          a
                                          psb_Tspmat_type. - - -
                                          info
                                          required
                                          Intent: out.
                                          An integer value; 0 means no error has been detected.
                                          -

                                          Notes

                                          1. psb_matbld_remote_ will cause an overhead a -

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                                            -

                                            diff --git a/docs/html/userhtmlsu37.html b/docs/html/userhtmlsu37.html index 85b08e29..e59a77e4 100644 --- a/docs/html/userhtmlsu37.html +++ b/docs/html/userhtmlsu37.html @@ -10,7 +10,7 @@ -

                                            [

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                                            call psb_spins(nz, ia, ja, val, a, desc_a, info [,local]) call psb_spins(nr, irw, irp, ja, val, a, desc_a, info [,local]) -

                                            -

                                            +

                                            +

                                            Type:
                                            optional.
                                            Specified as: a logical value; default: .false..
                                            -

                                            +

                                            On Return
                                            required
                                            Intent: out.
                                            An integer value; 0 means no error has been detected.
                                            -

                                            Notes

                                            1. -1 should be one of the local indices, but are otherwise -

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                                              -

                                              diff --git a/docs/html/userhtmlsu38.html b/docs/html/userhtmlsu38.html index 73e5bee4..46962f0b 100644 --- a/docs/html/userhtmlsu38.html +++ b/docs/html/userhtmlsu38.html @@ -10,7 +10,7 @@ -

                                              [

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                                              -call psb_spasb(a, desc_a, info, afmt, upd, dupl, mold)
+call psb_spasb(a, desc_a, info, afmt, upd,  mold)
                                              -

                                              -

                                              +

                                              +

                                              Type:
                                              psb_upd_srch_, psb_upd_perm_
                                              dupl
                                              How to handle duplicate coefficients.
                                              Scope: global.
                                              Type: optional.
                                              Intent: in.
                                              Specified as: integer, possible values: psb_dupl_ovwrt_, psb_dupl_add_, - psb_dupl_err_. -
                                              -mold
                                              The desired dynamic type for the internal matrix storage.
                                              Scope: _base_sparse_mat.

                                              - - -

                                              On Return
                                              psb_Tspmat_type. + + +
                                              descpsb_spins
                                            2. On exit from this routine the matrix is in the assembled state, and thus is suitable for the computational routines; - - -
                                            3. If the up] 

                                              4. -call psb_geall(x, desc_a, info, n, lb)
+call psb_geall(x, desc_a, info[, dupl, bldmode, n, lb])

                                              @@ -77,8 +77,40 @@ class="newline" />Intent: in.
                                              Specified as: Integer scalar, default 1. It is not a valid argument if x is a - rank-1 array. -

                                              + rank-1 array. +

                                              +dupl
                                              How to handle duplicate coefficients.
                                              Scope: global.
                                              Type: optional.
                                              Intent: in.
                                              Specified as: integer, possible values: psb_dupl_ovwrt_, psb_dupl_add_, + psb_dupl_err_. +
                                              +buildmode
                                              Whether to keep track of matrix entries that do not belong to the + current process.
                                              Scope: global.
                                              Type: optional.
                                              Intent: in.
                                              Specified as: + an integer value psb_matbld_noremote_, psb_matbld_remote_. Default: + psb_matbld_noremote_.
                                              +

                                              On Return
                                              _T_vect_type, of type real, complex or integer.
                                              - - -
                                              info
                                              An integer value; 0 means no error has been detected.

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                                              -

                                              diff --git a/docs/html/userhtmlsu42.html b/docs/html/userhtmlsu42.html index 759e37dd..30779ef4 100644 --- a/docs/html/userhtmlsu42.html +++ b/docs/html/userhtmlsu42.html @@ -10,7 +10,7 @@ -

                                              [

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                                              -call psb_geins(m, irw, val, x, desc_a, info [,dupl,local])
+call psb_geins(m, irw, val, x, desc_a, info [,local])
                                              -

                                              -

                                              +

                                              +

                                              Type:
                                              psb_desc_type. -
                                              -dupl
                                              How to handle duplicate coefficients.
                                              Scope: global.
                                              Type: optional.
                                              Intent: in.
                                              Specified as: integer, possible values: psb_dupl_ovwrt_, psb_dupl_add_. - - -
                                              local
                                              optional.
                                              Specified as: a logical value; default: .false..
                                              -

                                              +

                                              + + +

                                              On Return
                                              required
                                              Intent: out.
                                              An integer value; 0 means no error has been detected.
                                              -

                                              Notes

                                              1. Notes -

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                                                -

                                                diff --git a/docs/html/userhtmlsu43.html b/docs/html/userhtmlsu43.html index ddfdcf58..e0e237a6 100644 --- a/docs/html/userhtmlsu43.html +++ b/docs/html/userhtmlsu43.html @@ -10,7 +10,7 @@ -

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                                                 call psb_geasb(x, desc_a, info, mold)
                                                -

                                                -

                                                +

                                                +

                                                Type:
                                                psb_T_vect_type.
                                                -

                                                +

                                                On Return
                                                An integer value; 0 means no error has been detected.

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                                                -

                                                diff --git a/docs/html/userhtmlsu44.html b/docs/html/userhtmlsu44.html index 42ba0c96..1353f60a 100644 --- a/docs/html/userhtmlsu44.html +++ b/docs/html/userhtmlsu44.html @@ -10,7 +10,7 @@ -

                                                [

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                                                 call psb_gefree(x, desc_a, info)
                                                -

                                                -

                                                +

                                                +

                                                Type:
                                                psb_desc_type.
                                                -

                                                +

                                                On Return
                                                An integer value; 0 means no error has been detected.

                                                [

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                                                -

                                                diff --git a/docs/html/userhtmlsu45.html b/docs/html/userhtmlsu45.html index 68feb5de..7ed46b09 100644 --- a/docs/html/userhtmlsu45.html +++ b/docs/html/userhtmlsu45.html @@ -10,7 +10,7 @@ -

                                                [

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                                                 call psb_gelp(trans, iperm, x, info)
                                                -

                                                -

                                                +

                                                +

                                                Type:
                                                Intent: inout.
                                                Specified as: a one or two dimensional array.
                                                -

                                                +

                                                On Return
                                                An integer value; 0 means no error has been detected.

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                                                -

                                                diff --git a/docs/html/userhtmlsu46.html b/docs/html/userhtmlsu46.html index 830ce937..933b5fab 100644 --- a/docs/html/userhtmlsu46.html +++ b/docs/html/userhtmlsu46.html @@ -10,7 +10,7 @@ -

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                                                call psb_glob_to_loc(x, y, desc_a, info, iact,owned) call psb_glob_to_loc(x, desc_a, info, iact,owned) -

                                                -

                                                +

                                                +

                                                Type:
                                                Intent: in.
                                                If true, then only indices strictly owned by the current process are considered valid, if false then halo indices are also accepted. Default: false.
                                                -

                                                +

                                                On Return
                                                required
                                                Intent: out.
                                                An integer value; 0 means no error has been detected.
                                                -

                                                Notes

                                                1. Ignore means that the negative output is th -

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                                                  -

                                                  diff --git a/docs/html/userhtmlsu47.html b/docs/html/userhtmlsu47.html index e6fad428..7a34bae5 100644 --- a/docs/html/userhtmlsu47.html +++ b/docs/html/userhtmlsu47.html @@ -10,7 +10,7 @@ -

                                                  [

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                                                  call psb_loc_to_glob(x, y, desc_a, info, iact) call psb_loc_to_glob(x, desc_a, info, iact) -

                                                  -

                                                  +

                                                  +

                                                  Type:
                                                  Ignore, Warning or Abort, default Ignore.
                                                  -

                                                  +

                                                  On Return
                                                  An integer value; 0 means no error has been detected.

                                                  [

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                                                  -

                                                  diff --git a/docs/html/userhtmlsu48.html b/docs/html/userhtmlsu48.html index c6d48e0f..0d2a0959 100644 --- a/docs/html/userhtmlsu48.html +++ b/docs/html/userhtmlsu48.html @@ -10,7 +10,7 @@ -

                                                  [

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                                                   call psb_is_owned(x, desc_a)
                                                  -

                                                  -

                                                  +

                                                  +

                                                  Type:
                                                  psb_desc_type.
                                                  -

                                                  +

                                                  On Return
                                                  required
                                                  Intent: out.
                                                  -

                                                  Notes

                                                  1. .true. value for an index that is strictly -

                                                    [

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                                                    -

                                                    diff --git a/docs/html/userhtmlsu49.html b/docs/html/userhtmlsu49.html index d6f483ca..2b440146 100644 --- a/docs/html/userhtmlsu49.html +++ b/docs/html/userhtmlsu49.html @@ -10,7 +10,7 @@ -

                                                    [

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                                                     call psb_owned_index(y, x, desc_a, info)
                                                    -

                                                    -

                                                    +

                                                    +

                                                    Type:
                                                    Ignore, Warning or Abort, default Ignore.
                                                    -

                                                    +

                                                    On Return
                                                    An integer value; 0 means no error has been detected.

                                                    Notes

                                                    1. .true. value for those indices that are str -

                                                      [

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                                                      -

                                                      diff --git a/docs/html/userhtmlsu50.html b/docs/html/userhtmlsu50.html index 459d7843..61677030 100644 --- a/docs/html/userhtmlsu50.html +++ b/docs/html/userhtmlsu50.html @@ -10,7 +10,7 @@ -

                                                      [

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                                                       call psb_is_local(x, desc_a)
                                                      -

                                                      -

                                                      +

                                                      +

                                                      Type:
                                                      psb_desc_type.
                                                      -

                                                      +

                                                      On Return
                                                      required
                                                      Intent: out.
                                                      -

                                                      Notes

                                                      1. .true. value for an index that is local to -

                                                        [

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                                                        -

                                                        diff --git a/docs/html/userhtmlsu51.html b/docs/html/userhtmlsu51.html index 49bc9faf..2bbbbba9 100644 --- a/docs/html/userhtmlsu51.html +++ b/docs/html/userhtmlsu51.html @@ -10,7 +10,7 @@ -

                                                        [

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                                                         call psb_local_index(y, x, desc_a, info)
                                                        -

                                                        -

                                                        +

                                                        +

                                                        Type:
                                                        Ignore, Warning or Abort, default Ignore.
                                                        -

                                                        +

                                                        On Return
                                                        An integer value; 0 means no error has been detected.

                                                        Notes

                                                        1. .true. value for those indices that are loc -

                                                          [

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                                                          -

                                                          diff --git a/docs/html/userhtmlsu52.html b/docs/html/userhtmlsu52.html index c55b1619..2eac7163 100644 --- a/docs/html/userhtmlsu52.html +++ b/docs/html/userhtmlsu52.html @@ -10,7 +10,7 @@ -

                                                          [

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                                                           call psb_get_boundary(bndel, desc, info)
                                                          -

                                                          -

                                                          +

                                                          +

                                                          Type:
                                                          psb_desc_type.
                                                          -

                                                          +

                                                          On Return
                                                          required
                                                          Intent: out.
                                                          An integer value; 0 means no error has been detected.
                                                          -

                                                          Notes

                                                          1. bndel will be exactly equal to the nu -

                                                            [

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                                                            -

                                                            diff --git a/docs/html/userhtmlsu53.html b/docs/html/userhtmlsu53.html index 281c6a44..52f5837a 100644 --- a/docs/html/userhtmlsu53.html +++ b/docs/html/userhtmlsu53.html @@ -10,7 +10,7 @@ -

                                                            [

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                                                             call psb_get_overlap(ovrel, desc, info)
                                                            -

                                                            -

                                                            +

                                                            +

                                                            Type:
                                                            psb_desc_type.
                                                            -

                                                            +

                                                            On Return
                                                            required
                                                            Intent: out.
                                                            An integer value; 0 means no error has been detected.
                                                            -

                                                            Notes

                                                            1. ovrel will be exactly equal to the number o -

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                                                              -

                                                              diff --git a/docs/html/userhtmlsu54.html b/docs/html/userhtmlsu54.html index 9da5b49f..4de7e149 100644 --- a/docs/html/userhtmlsu54.html +++ b/docs/html/userhtmlsu54.html @@ -10,7 +10,7 @@ -

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                                                              call psb_sp_getrow(row, a, nz, ia, ja, val, info, &               & append, nzin, lrw) -

                                                              -

                                                              +

                                                              +

                                                              Type:
                                                              row. -

                                                              +

                                                              On Return
                                                              required
                                                              Intent: out.
                                                              An integer value; 0 means no error has been detected.
                                                              -

                                                              Notes

                                                              1. psb_loc_to_glob routine on the output.
                                                                2. -

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                                                                -

                                                                diff --git a/docs/html/userhtmlsu55.html b/docs/html/userhtmlsu55.html index 2a2351f5..0a612d50 100644 --- a/docs/html/userhtmlsu55.html +++ b/docs/html/userhtmlsu55.html @@ -10,7 +10,7 @@ -

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                                                                6.26 psb_sizeof — Memory occupation

                                                                -

                                                                This function computes the memory occupation of a PSBLAS object. +

                                                                This function computes the memory occupation of a PSBLAS object. @@ -27,8 +27,8 @@ isz = psb_sizeof(a) isz = psb_sizeof(desc_a) isz = psb_sizeof(prec) -

                                                                -

                                                                +

                                                                +

                                                                Type:
                                                                integer(psb_long_int_k_) number.
                                                                -

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                                                                -

                                                                diff --git a/docs/html/userhtmlsu56.html b/docs/html/userhtmlsu56.html index 0bf25c0e..afd46917 100644 --- a/docs/html/userhtmlsu56.html +++ b/docs/html/userhtmlsu56.html @@ -10,20 +10,20 @@ -

                                                                [

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                                                                6.27 Sorting utilities —

                                                                -

                                                                psb_msort — Sorting by the Merge-sort algorithm -

                                                                psb_qsort — Sorting by the Quicksort algorithm -

                                                                psb_hsort — Sorting by the Heapsort algorithm @@ -34,8 +34,8 @@ call psb_msort(x,ix,dir,flag) call psb_qsort(x,ix,dir,flag) call psb_hsort(x,ix,dir,flag) -

                                                                -

                                                                These serial routines sort a sequence

                                                                +

                                                                These serial routines sort a sequence X into ascending or descending order. The argument meaning is identical for the three calls; the only difference is the algorithm used to accomplish the task (see Usage Notes below). @@ -102,7 +102,7 @@ class="cmtt-10">psb_sort_keep_idx_; default psb_sort_ovw_idx_.

                                                              -

                                                              +

                                                              On Return
                                                              Optional
                                                              An integer array of rank 1, whose entries are moved to the same position as the corresponding entries in x.
                                                              -

                                                              Notes

                                                              1. An integer value; 0 means no error has been detected.

                                                                Notes +

                                                                If this function is called on a matrix a on a distributed communicator only the +local part is written in output. To get a single MatrixMarket file with the whole +matrix when appropriate, e.g. for debugging purposes, one could gather the whole +matrix on a single rank and then write it. Consider the following example for a +double precision matrix +

                                                                +

                                                                +

                                                                +type(psb_ldspmat_type) :: aglobal
+call psb_gather(aglobal,a,desc_a,info)
+if (iam == psb_root_) then
+call mm_mat_write(aglobal,mtitle,info,filename)
+end if
+call psb_spfree(aglobal, desc_a, info)
+
                                                                +

                                                                +

                                                                To simplify this procedure in C, there is a utility function +

                                                                +

                                                                +

                                                                +psb_i_t psb_c_<s,d,c,z>global_mat_write(ah,cdh);
+
                                                                +

                                                                +

                                                                that produces exactly this result. -

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                                                                -

                                                                diff --git a/docs/html/userhtmlsu83.html b/docs/html/userhtmlsu83.html index 1a26067f..e7cd0896 100644 --- a/docs/html/userhtmlsu83.html +++ b/docs/html/userhtmlsu83.html @@ -11,7 +11,7 @@ format -

                                                                [

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                                                                9.6 mm_array_write — Write a dense array from a file in the MatrixMarket format

                                                                - +
                                                                callfilename)
                                                                -

                                                                +

                                                                Type:
                                                                Type:optional.
                                                                Specified as: an integer value. Only meaningful if filename is not -.
                                                                -

                                                                +

                                                                On Return
                                                                up]

                                                                - 
                                                                +   
                                                                 call prec%init(icontxt,ptype, info)
 
                                                                
 
                                                                
diff --git a/docs/html/userhtmlsu85.html b/docs/html/userhtmlsu85.html
index 63b63223..4722c8a9 100644
--- a/docs/html/userhtmlsu85.html
+++ b/docs/html/userhtmlsu85.html
@@ -21,7 +21,7 @@ href="userhtmlsu86.html#userhtmlsu89.html" >up]
                                                                - 
                                                                +   
                                                                 call prec%build(a, desc_a, info[,amold,vmold,imold])
 
                                                                
 
                                                                
diff --git a/docs/html/userhtmlsu86.html b/docs/html/userhtmlsu86.html
index 1c212dc8..0c95a467 100644
--- a/docs/html/userhtmlsu86.html
+++ b/docs/html/userhtmlsu86.html
@@ -21,7 +21,7 @@ href="userhtmlsu86.html#userhtmlse11.html" >up]
                                                              - 
                                                              +   
                                                               call prec%apply(x,y,desc_a,info,trans,work)
 call prec%apply(x,desc_a,info,trans)
 
                                                              
diff --git a/docs/html/userhtmlsu87.html b/docs/html/userhtmlsu87.html
index cd00e4ef..f01712c8 100644
--- a/docs/html/userhtmlsu87.html
+++ b/docs/html/userhtmlsu87.html
@@ -21,7 +21,7 @@ href="userhtmlsu86.html#userhtmlsu90.html" >up]
                                                              - 
                                                              +   
                                                               call prec%descr(info)
 call prec%descr(info,iout, root)
 
                                                              
diff --git a/docs/html/userhtmlsu88.html b/docs/html/userhtmlsu88.html
index c8d02bd2..1eee47e7 100644
--- a/docs/html/userhtmlsu88.html
+++ b/docs/html/userhtmlsu88.html
@@ -20,7 +20,7 @@ href="userhtmlsu86.html#userhtmlli2.html" >up]
                                                            - 
                                                            +   
                                                             call  prec%clone(precout,info)
 
                                                            
 
                                                            
diff --git a/docs/html/userhtmlsu89.html b/docs/html/userhtmlsu89.html
index 504db982..a5193184 100644
--- a/docs/html/userhtmlsu89.html
+++ b/docs/html/userhtmlsu89.html
@@ -20,7 +20,7 @@ href="userhtmlsu86.html# " >up]
                                                            - 
                                                            +   
                                                             call prec%free(info)
 
                                                            
 
                                                            
diff --git a/docs/html/userhtmlsu90.html b/docs/html/userhtmlsu90.html
index e0e4188c..a8ea9488 100644
--- a/docs/html/userhtmlsu90.html
+++ b/docs/html/userhtmlsu90.html
@@ -388,10 +388,6 @@ class="newline" />An integer value; 0 means no error has been detected.
                                                            
-                                                                  
-
-                                                                  
    
                                                            [front] [up] 
                                                            
diff --git a/docs/psblas-3.7.pdf b/docs/psblas-3.7.pdf
index 1ecfe162..c2fdc7c7 100644
--- a/docs/psblas-3.7.pdf
+++ b/docs/psblas-3.7.pdf
@@ -4,220 +4,220 @@
 <<
 /Type /ObjStm
 /N 100
-/First 865
-/Length 16060     
+/First 819
+/Length 6377      
 >>
 stream
-1 0 5 38 6 195 9 235 10 329 13 370 14 488 17 534 18 672 21 718
-22 846 25 892 26 1045 29 1096 30 1292 33 1338 34 1471 37 1512 38 1691 41 1737
-42 1913 45 1964 46 2112 49 2163 50 2450 53 2501 54 2788 57 2839 58 3136 61 3187
-62 3484 65 3535 66 3862 69 3913 70 4181 73 4232 74 4442 77 4493 78 4751 81 4803
-82 5234 85 5286 86 5717 89 5769 90 6063 93 6115 94 6409 97 6461 98 6827 101 6879
-102 7018 105 7065 106 7212 109 7264 110 7431 113 7483 114 7817 117 7869 118 8218 121 8270
-122 8677 125 8729 126 9164 129 9216 130 9595 133 9647 134 9965 137 10017 138 10285 141 10337
-142 10701 145 10754 146 11064 149 11117 150 11346 153 11399 154 11683 157 11736 158 11955 161 12008
-162 12255 165 12308 166 12547 169 12600 170 12839 173 12892 174 13220 177 13273 178 13489 181 13542
-182 13681 185 13728 186 13918 189 13970 190 14099 193 14151 194 14480 197 14532 198 14906 201 14958
+1 0 5 38 6 77 9 117 10 144 13 185 14 217 17 263 18 299 21 345
+22 379 25 425 26 464 29 515 30 562 33 608 34 643 37 684 38 727 41 773
+42 816 45 867 46 905 49 956 50 1026 53 1077 54 1147 57 1198 58 1270 61 1321
+62 1393 65 1444 66 1522 69 1573 70 1638 73 1689 74 1740 77 1791 78 1851 81 1903
+82 2006 85 2058 86 2161 89 2213 90 2285 93 2337 94 2409 97 2461 98 2542 101 2594
+102 2631 105 2678 106 2716 109 2768 110 2810 113 2862 114 2938 117 2990 118 3069 121 3121
+122 3211 125 3263 126 3358 129 3410 130 3492 133 3544 134 3618 137 3670 138 3740 141 3792
+142 3883 145 3936 146 4006 149 4059 150 4114 153 4167 154 4236 157 4289 158 4345 161 4398
+162 4459 165 4512 166 4569 169 4622 170 4679 173 4732 174 4814 177 4867 178 4920 181 4973
+182 5010 185 5057 186 5103 189 5155 190 5190 193 5242 194 5317 197 5369 198 5450 201 5502
 % 1 0 obj
 << /S /GoTo /D (title.0) >>
 % 5 0 obj
-(\376\377\000P\000S\000B\000L\000A\000S\000-\000v\0003\000.\0007\000.\0000\000\040\000U\000s\000e\000r\000'\000s\000\040\000G\000u\000i\000d\000e)
+(PSBLAS-v3.7.0 User's Guide)
 % 6 0 obj
 << /S /GoTo /D (section.1) >>
 % 9 0 obj
-(\376\377\0001\000\040\000I\000n\000t\000r\000o\000d\000u\000c\000t\000i\000o\000n)
+(1 Introduction)
 % 10 0 obj
 << /S /GoTo /D (section.2) >>
 % 13 0 obj
-(\376\377\0002\000\040\000G\000e\000n\000e\000r\000a\000l\000\040\000o\000v\000e\000r\000v\000i\000e\000w)
+(2 General overview)
 % 14 0 obj
 << /S /GoTo /D (subsection.2.1) >>
 % 17 0 obj
-(\376\377\0002\000.\0001\000\040\000B\000a\000s\000i\000c\000\040\000N\000o\000m\000e\000n\000c\000l\000a\000t\000u\000r\000e)
+(2.1 Basic Nomenclature)
 % 18 0 obj
 << /S /GoTo /D (subsection.2.2) >>
 % 21 0 obj
-(\376\377\0002\000.\0002\000\040\000L\000i\000b\000r\000a\000r\000y\000\040\000c\000o\000n\000t\000e\000n\000t\000s)
+(2.2 Library contents)
 % 22 0 obj
 << /S /GoTo /D (subsection.2.3) >>
 % 25 0 obj
-(\376\377\0002\000.\0003\000\040\000A\000p\000p\000l\000i\000c\000a\000t\000i\000o\000n\000\040\000s\000t\000r\000u\000c\000t\000u\000r\000e)
+(2.3 Application structure)
 % 26 0 obj
 << /S /GoTo /D (subsubsection.2.3.1) >>
 % 29 0 obj
-(\376\377\0002\000.\0003\000.\0001\000\040\000U\000s\000e\000r\000-\000d\000e\000f\000i\000n\000e\000d\000\040\000i\000n\000d\000e\000x\000\040\000m\000a\000p\000p\000i\000n\000g\000s)
+(2.3.1 User-defined index mappings)
 % 30 0 obj
 << /S /GoTo /D (subsection.2.4) >>
 % 33 0 obj
-(\376\377\0002\000.\0004\000\040\000P\000r\000o\000g\000r\000a\000m\000m\000i\000n\000g\000\040\000m\000o\000d\000e\000l)
+(2.4 Programming model)
 % 34 0 obj
 << /S /GoTo /D (section.3) >>
 % 37 0 obj
-(\376\377\0003\000\040\000D\000a\000t\000a\000\040\000S\000t\000r\000u\000c\000t\000u\000r\000e\000s\000\040\000a\000n\000d\000\040\000C\000l\000a\000s\000s\000e\000s)
+(3 Data Structures and Classes)
 % 38 0 obj
 << /S /GoTo /D (subsection.3.1) >>
 % 41 0 obj
-(\376\377\0003\000.\0001\000\040\000D\000e\000s\000c\000r\000i\000p\000t\000o\000r\000\040\000d\000a\000t\000a\000\040\000s\000t\000r\000u\000c\000t\000u\000r\000e)
+(3.1 Descriptor data structure)
 % 42 0 obj
 << /S /GoTo /D (subsubsection.3.1.1) >>
 % 45 0 obj
-(\376\377\0003\000.\0001\000.\0001\000\040\000D\000e\000s\000c\000r\000i\000p\000t\000o\000r\000\040\000M\000e\000t\000h\000o\000d\000s)
+(3.1.1 Descriptor Methods)
 % 46 0 obj
 << /S /GoTo /D (subsubsection.3.1.2) >>
 % 49 0 obj
-(\376\377\0003\000.\0001\000.\0002\000\040\000g\000e\000t\000\137\000l\000o\000c\000a\000l\000\137\000r\000o\000w\000s\000\040\040\024\000\040\000G\000e\000t\000\040\000n\000u\000m\000b\000e\000r\000\040\000o\000f\000\040\000l\000o\000c\000a\000l\000\040\000r\000o\000w\000s)
+(3.1.2 get\137local\137rows \204 Get number of local rows)
 % 50 0 obj
 << /S /GoTo /D (subsubsection.3.1.3) >>
 % 53 0 obj
-(\376\377\0003\000.\0001\000.\0003\000\040\000g\000e\000t\000\137\000l\000o\000c\000a\000l\000\137\000c\000o\000l\000s\000\040\040\024\000\040\000G\000e\000t\000\040\000n\000u\000m\000b\000e\000r\000\040\000o\000f\000\040\000l\000o\000c\000a\000l\000\040\000c\000o\000l\000s)
+(3.1.3 get\137local\137cols \204 Get number of local cols)
 % 54 0 obj
 << /S /GoTo /D (subsubsection.3.1.4) >>
 % 57 0 obj
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 << /S /GoTo /D (subsection.7.2) >>
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 << /S /GoTo /D (subsection.7.4) >>
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 << /S /GoTo /D (subsection.7.10) >>
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 << /S /GoTo /D (subsection.7.11) >>
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 << /S /GoTo /D (subsection.7.13) >>
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 << /S /GoTo /D (subsection.9.2) >>
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 << /S /GoTo /D (subsection.9.3) >>
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 << /S /GoTo /D (subsection.9.4) >>
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+(9.4 mm\137array\137read \204 Read a dense array from a file in the MatrixMarket format)
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 << /S /GoTo /D (subsection.9.5) >>
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 << /S /GoTo /D (section.10) >>
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+(10 Preconditioner routines)
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 << /S /GoTo /D (subsection.10.1) >>
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+(10.1 init \204 Initialize a preconditioner)
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 << /S /GoTo /D (subsection.10.2) >>
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+(10.2 build \204 Builds a preconditioner)
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 << /S /GoTo /D (subsection.10.3) >>
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 << /S /GoTo /D (subsection.10.4) >>
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+(10.4 descr \204 Prints a description of current preconditioner)
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 << /S /GoTo /D (subsection.10.5) >>
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 << /S /GoTo /D (subsection.10.6) >>
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 << /S /GoTo /D (section.11) >>
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@@ -4859,61 +4859,61 @@ stream
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+/F89 7.9701 Tf 204.228 129.79 Td [(precinit)]TJ/F54 7.9701 Tf 35.946 0 Td [(and)]TJ/F89 7.9701 Tf 15.567 0 Td [(psb)]TJ
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+/F89 7.9701 Tf 271.492 129.79 Td [(precbl)]TJ/F54 7.9701 Tf 27.478 0 Td [(ar)18(e)-260(still)-260(supported)-260(for)-260(backwar)18(d)-260(compat-)]TJ -199.075 -9.464 Td [(ibility)]TJ
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 1 0 0 1 127.322 535.936 cm
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 1 0 0 1 178.769 535.936 cm
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 1 0 0 1 117.091 516.03 cm
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 1 0 0 1 127.322 516.03 cm
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 1 0 0 1 143.631 516.03 cm
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 1 0 0 1 175.989 516.03 cm
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 1 0 0 1 117.091 496.123 cm
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 1 0 0 1 127.322 496.123 cm
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 1 0 0 1 144.179 496.123 cm
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 1 0 0 1 176.537 496.123 cm
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@@ -8271,82 +8271,82 @@ stream
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+ [(\051\051)]TJ/F54 9.9626 Tf -52.303 -19.925 Td [(In)-253(this)-252(way)-253(the)-253(global)-253(communicati)1(on,)-254(which)-253(for)-252(small)-253(sizes)-253(is)-252(a)-253(latency-)]TJ 0 -11.955 Td [(bound)-250(operation,)-250(is)-250(invoked)-250(only)-250(once.)]TJ
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 ET
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 1 0 0 1 198.238 706.328 cm
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+/F52 9.9626 Tf 236.394 587.136 Td [(r)-17(e)-25(s)]TJ/F54 9.9626 Tf 12.17 0 Td [(,)]TJ/F52 9.9626 Tf 5.275 0 Td [(x)]TJ/F54 9.9626 Tf 5.205 0 Td [(,)]TJ/F52 9.9626 Tf 5.106 0 Td [(y)]TJ/F51 9.9626 Tf 93.135 0 Td [(Subroutine)]TJ
 ET
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 1 0 0 1 230.392 583.351 cm
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 Q
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 1 0 0 1 445.669 415.699 cm
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 1 0 0 1 470.356 415.699 cm
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 1 0 0 1 324.173 335.998 cm
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 1 0 0 1 147.429 706.328 cm
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- [(\051\051)]TJ/F57 9.9626 Tf -52.304 -19.926 Td [(In)-253(this)-252(way)-253(the)-253(global)-253(communication,)-253(which)-253(for)-252(small)-253(sizes)-253(is)-252(a)-253(latency-)]TJ 0 -11.955 Td [(bound)-250(operation,)-250(is)-250(invoked)-250(only)-250(once.)]TJ
+ [(\051\051)]TJ/F54 9.9626 Tf -52.304 -19.926 Td [(In)-253(this)-252(way)-253(the)-253(global)-253(communication,)-253(which)-253(for)-252(small)-253(sizes)-253(is)-252(a)-253(latency-)]TJ 0 -11.955 Td [(bound)-250(operation,)-250(is)-250(invoked)-250(only)-250(once.)]TJ
 0 g 0 G
  141.968 -402.49 Td [(40)]TJ
 0 g 0 G
@@ -10421,16 +10421,16 @@ stream
 0 g 0 G
 0 g 0 G
 BT
-/F54 11.9552 Tf 99.895 706.129 Td [(4.7)-1000(psb)]TJ
+/F51 11.9552 Tf 99.895 706.129 Td [(4.7)-1000(psb)]TJ
 ET
 q
 1 0 0 1 147.429 706.328 cm
 []0 d 0 J 0.398 w 0 0 m 3.587 0 l S
 Q
 BT
-/F54 11.9552 Tf 151.016 706.129 Td [(geasums)-250(\227)-250(Generalized)-250(1-Norm)-250(of)-250(V)111(ector)]TJ/F57 9.9626 Tf -51.121 -20.192 Td [(This)-216(subr)18(outine)-217(computes)-216(a)-217(series)-216(of)-216(1-norms)-217(on)-216(the)-217(columns)-216(of)-216(a)-217(dense)-216(matrix)]TJ/F55 9.9626 Tf 0.294 -11.955 Td [(x)]TJ/F57 9.9626 Tf 5.206 0 Td [(:)]TJ/F55 9.9626 Tf 120.031 -13.856 Td [(r)-17(e)-25(s)]TJ/F88 10.3811 Tf 12.293 0 Td [(\050)]TJ/F55 9.9626 Tf 4.205 0 Td [(i)]TJ/F88 10.3811 Tf 3.088 0 Td [(\051)]TJ/F86 10.3811 Tf 7.041 0 Td [(\040)]TJ/F57 9.9626 Tf 13.273 0 Td [(max)]TJ/F55 7.5716 Tf 7.76 -7.335 Td [(k)]TJ/F86 10.3811 Tf 12.944 7.335 Td [(j)]TJ/F55 9.9626 Tf 3.298 0 Td [(x)]TJ/F88 10.3811 Tf 5.33 0 Td [(\050)]TJ/F55 9.9626 Tf 4.273 0 Td [(k)]TJ/F57 9.9626 Tf 4.598 0 Td [(,)]TJ/F55 9.9626 Tf 4.206 0 Td [(i)]TJ/F88 10.3811 Tf 3.088 0 Td [(\051)]TJ/F86 10.3811 Tf 4.274 0 Td [(j)]TJ/F57 9.9626 Tf -215.202 -24.535 Td [(This)-250(function)-250(computes)-250(the)-250(1-norm)-250(of)-250(a)-250(vector)]TJ/F55 9.9626 Tf 206.349 0 Td [(x)]TJ/F57 9.9626 Tf 5.205 0 Td [(.)]TJ -211.554 -11.955 Td [(If)]TJ/F55 9.9626 Tf 9.46 0 Td [(x)]TJ/F57 9.9626 Tf 7.696 0 Td [(is)-250(a)-250(r)18(eal)-250(vector)-250(it)-250(computes)-250(1-norm)-250(as:)]TJ/F55 9.9626 Tf 125.227 -23.185 Td [(r)-17(e)-25(s)]TJ/F88 10.3811 Tf 12.293 0 Td [(\050)]TJ/F55 9.9626 Tf 4.205 0 Td [(i)]TJ/F88 10.3811 Tf 3.088 0 Td [(\051)]TJ/F86 10.3811 Tf 7.041 0 Td [(\040)-291(k)]TJ/F55 9.9626 Tf 19.007 0 Td [(x)]TJ/F55 7.5716 Tf 5.147 -1.96 Td [(i)]TJ/F86 10.3811 Tf 2.875 1.96 Td [(k)]TJ/F57 9.9626 Tf -196.039 -23.185 Td [(else)-250(if)]TJ/F55 9.9626 Tf 28.159 0 Td [(x)]TJ/F57 9.9626 Tf 7.696 0 Td [(is)-250(a)-250(complex)-250(vector)-250(then)-250(it)-250(computes)-250(1-norm)-250(as:)]TJ/F55 9.9626 Tf 71.212 -23.185 Td [(r)-17(e)-25(s)]TJ/F88 10.3811 Tf 12.294 0 Td [(\050)]TJ/F55 9.9626 Tf 4.204 0 Td [(i)]TJ/F88 10.3811 Tf 3.089 0 Td [(\051)]TJ/F86 10.3811 Tf 7.041 0 Td [(\040)-291(k)]TJ/F55 9.9626 Tf 18.737 0 Td [(r)-17(e)]TJ/F88 10.3811 Tf 8.169 0 Td [(\050)]TJ/F55 9.9626 Tf 4.444 0 Td [(x)]TJ/F88 10.3811 Tf 5.33 0 Td [(\051)]TJ/F86 10.3811 Tf 4.274 0 Td [(k)]TJ/F57 7.5716 Tf 5.315 -1.858 Td [(1)]TJ/F88 10.3811 Tf 6.345 1.858 Td [(+)]TJ/F86 10.3811 Tf 10.256 0 Td [(k)]TJ/F55 9.9626 Tf 5.37 0 Td [(i)-32(m)]TJ/F88 10.3811 Tf 11.088 0 Td [(\050)]TJ/F55 9.9626 Tf 4.443 0 Td [(x)]TJ/F88 10.3811 Tf 5.33 0 Td [(\051)]TJ/F86 10.3811 Tf 4.274 0 Td [(k)]TJ/F57 7.5716 Tf 5.315 -1.858 Td [(1)]TJ
+/F51 11.9552 Tf 151.016 706.129 Td [(geasums)-250(\227)-250(Generalized)-250(1-Norm)-250(of)-250(V)111(ector)]TJ/F54 9.9626 Tf -51.121 -20.192 Td [(This)-216(subr)18(outine)-217(computes)-216(a)-217(series)-216(of)-216(1-norms)-217(on)-216(the)-217(columns)-216(of)-216(a)-217(dense)-216(matrix)]TJ/F52 9.9626 Tf 0.294 -11.955 Td [(x)]TJ/F54 9.9626 Tf 5.206 0 Td [(:)]TJ/F52 9.9626 Tf 120.031 -13.856 Td [(r)-17(e)-25(s)]TJ/F85 10.3811 Tf 12.293 0 Td [(\050)]TJ/F52 9.9626 Tf 4.205 0 Td [(i)]TJ/F85 10.3811 Tf 3.088 0 Td [(\051)]TJ/F83 10.3811 Tf 7.041 0 Td [(\040)]TJ/F54 9.9626 Tf 13.273 0 Td [(max)]TJ/F52 7.5716 Tf 7.76 -7.335 Td [(k)]TJ/F83 10.3811 Tf 12.944 7.335 Td [(j)]TJ/F52 9.9626 Tf 3.298 0 Td [(x)]TJ/F85 10.3811 Tf 5.33 0 Td [(\050)]TJ/F52 9.9626 Tf 4.273 0 Td [(k)]TJ/F54 9.9626 Tf 4.598 0 Td [(,)]TJ/F52 9.9626 Tf 4.206 0 Td [(i)]TJ/F85 10.3811 Tf 3.088 0 Td [(\051)]TJ/F83 10.3811 Tf 4.274 0 Td [(j)]TJ/F54 9.9626 Tf -215.202 -24.535 Td [(This)-250(function)-250(computes)-250(the)-250(1-norm)-250(of)-250(a)-250(vector)]TJ/F52 9.9626 Tf 206.349 0 Td [(x)]TJ/F54 9.9626 Tf 5.205 0 Td [(.)]TJ -211.554 -11.955 Td [(If)]TJ/F52 9.9626 Tf 9.46 0 Td [(x)]TJ/F54 9.9626 Tf 7.696 0 Td [(is)-250(a)-250(r)18(eal)-250(vector)-250(it)-250(computes)-250(1-norm)-250(as:)]TJ/F52 9.9626 Tf 125.227 -23.185 Td [(r)-17(e)-25(s)]TJ/F85 10.3811 Tf 12.293 0 Td [(\050)]TJ/F52 9.9626 Tf 4.205 0 Td [(i)]TJ/F85 10.3811 Tf 3.088 0 Td [(\051)]TJ/F83 10.3811 Tf 7.041 0 Td [(\040)-291(k)]TJ/F52 9.9626 Tf 19.007 0 Td [(x)]TJ/F52 7.5716 Tf 5.147 -1.96 Td [(i)]TJ/F83 10.3811 Tf 2.875 1.96 Td [(k)]TJ/F54 9.9626 Tf -196.039 -23.185 Td [(else)-250(if)]TJ/F52 9.9626 Tf 28.159 0 Td [(x)]TJ/F54 9.9626 Tf 7.696 0 Td [(is)-250(a)-250(complex)-250(vector)-250(then)-250(it)-250(computes)-250(1-norm)-250(as:)]TJ/F52 9.9626 Tf 71.212 -23.185 Td [(r)-17(e)-25(s)]TJ/F85 10.3811 Tf 12.294 0 Td [(\050)]TJ/F52 9.9626 Tf 4.204 0 Td [(i)]TJ/F85 10.3811 Tf 3.089 0 Td [(\051)]TJ/F83 10.3811 Tf 7.041 0 Td [(\040)-291(k)]TJ/F52 9.9626 Tf 18.737 0 Td [(r)-17(e)]TJ/F85 10.3811 Tf 8.169 0 Td [(\050)]TJ/F52 9.9626 Tf 4.444 0 Td [(x)]TJ/F85 10.3811 Tf 5.33 0 Td [(\051)]TJ/F83 10.3811 Tf 4.274 0 Td [(k)]TJ/F54 7.5716 Tf 5.315 -1.858 Td [(1)]TJ/F85 10.3811 Tf 6.345 1.858 Td [(+)]TJ/F83 10.3811 Tf 10.256 0 Td [(k)]TJ/F52 9.9626 Tf 5.37 0 Td [(i)-32(m)]TJ/F85 10.3811 Tf 11.088 0 Td [(\050)]TJ/F52 9.9626 Tf 4.443 0 Td [(x)]TJ/F85 10.3811 Tf 5.33 0 Td [(\051)]TJ/F83 10.3811 Tf 4.274 0 Td [(k)]TJ/F54 7.5716 Tf 5.315 -1.858 Td [(1)]TJ
 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG
-/F62 9.9626 Tf -212.21 -21.96 Td [(call)]TJ
+/F59 9.9626 Tf -212.21 -21.96 Td [(call)]TJ
 0 g 0 G
  [-525(psb_geasums\050res,)-525(x,)-525(desc_a,)-525(info\051)]TJ
 0 g 0 G
@@ -10442,42 +10442,42 @@ q
 []0 d 0 J 0.398 w 0 0 m 290.846 0 l S
 Q
 BT
-/F55 9.9626 Tf 132.33 506.059 Td [(r)-17(e)-25(s)-8868(x)]TJ/F54 9.9626 Tf 221.014 0 Td [(Subroutine)]TJ
+/F52 9.9626 Tf 132.33 506.059 Td [(r)-17(e)-25(s)-8868(x)]TJ/F51 9.9626 Tf 221.014 0 Td [(Subroutine)]TJ
 ET
 q
 1 0 0 1 126.328 502.274 cm
 []0 d 0 J 0.398 w 0 0 m 290.846 0 l S
 Q
 BT
-/F57 9.9626 Tf 132.305 493.706 Td [(Short)-250(Pr)18(ecision)-250(Real)-1200(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ
+/F54 9.9626 Tf 132.305 493.706 Td [(Short)-250(Pr)18(ecision)-250(Real)-1200(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ
 ET
 q
 1 0 0 1 369.663 493.905 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F57 9.9626 Tf 372.651 493.706 Td [(geasums)]TJ -240.346 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-1279(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ
+/F54 9.9626 Tf 372.651 493.706 Td [(geasums)]TJ -240.346 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-1279(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ
 ET
 q
 1 0 0 1 369.663 481.95 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F57 9.9626 Tf 372.651 481.751 Td [(geasums)]TJ -240.346 -11.956 Td [(Short)-250(Pr)18(ecision)-250(Real)-1200(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ
+/F54 9.9626 Tf 372.651 481.751 Td [(geasums)]TJ -240.346 -11.956 Td [(Short)-250(Pr)18(ecision)-250(Real)-1200(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ
 ET
 q
 1 0 0 1 369.663 469.995 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F57 9.9626 Tf 372.651 469.795 Td [(geasums)]TJ -240.346 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-1279(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ
+/F54 9.9626 Tf 372.651 469.795 Td [(geasums)]TJ -240.346 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-1279(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ
 ET
 q
 1 0 0 1 369.663 458.04 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F57 9.9626 Tf 372.651 457.84 Td [(geasums)]TJ
+/F54 9.9626 Tf 372.651 457.84 Td [(geasums)]TJ
 ET
 q
 1 0 0 1 126.328 454.054 cm
@@ -10485,85 +10485,85 @@ q
 Q
 0 g 0 G
 BT
-/F57 9.9626 Tf 229.958 425.676 Td [(T)92(able)-250(7:)-310(Data)-250(types)]TJ
+/F54 9.9626 Tf 229.958 425.676 Td [(T)92(able)-250(7:)-310(Data)-250(types)]TJ
 0 g 0 G
 0 g 0 G
 0 g 0 G
-/F54 9.9626 Tf -130.063 -37.636 Td [(T)90(ype:)]TJ
+/F51 9.9626 Tf -130.063 -37.636 Td [(T)90(ype:)]TJ
 0 g 0 G
-/F57 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ
+/F54 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ
 0 g 0 G
-/F54 9.9626 Tf -29.828 -22.46 Td [(On)-250(Entry)]TJ
+/F51 9.9626 Tf -29.828 -22.46 Td [(On)-250(Entry)]TJ
 0 g 0 G
 0 g 0 G
  0 -22.459 Td [(x)]TJ
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-/F57 9.9626 Tf 9.963 0 Td [(the)-250(local)-250(portion)-250(of)-250(global)-250(dense)-250(matrix)]TJ/F55 9.9626 Tf 175.614 0 Td [(x)]TJ/F57 9.9626 Tf 5.205 0 Td [(.)]TJ -165.875 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.956 Td [(Speci\002ed)-207(as:)-289(a)-208(rank)-207(one)-208(or)-207(two)-207(array)-208(or)-207(an)-208(object)-207(of)-208(type)]TJ
+/F54 9.9626 Tf 9.963 0 Td [(the)-250(local)-250(portion)-250(of)-250(global)-250(dense)-250(matrix)]TJ/F52 9.9626 Tf 175.614 0 Td [(x)]TJ/F54 9.9626 Tf 5.205 0 Td [(.)]TJ -165.875 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.956 Td [(Speci\002ed)-207(as:)-289(a)-208(rank)-207(one)-208(or)-207(two)-207(array)-208(or)-207(an)-208(object)-207(of)-208(type)]TJ
 0 0 1 rg 0 0 1 RG
-/F62 9.9626 Tf 244.743 0 Td [(psb)]TJ
+/F59 9.9626 Tf 244.743 0 Td [(psb)]TJ
 ET
 q
 1 0 0 1 385.864 295.5 cm
 []0 d 0 J 0.398 w 0 0 m 3.138 0 l S
 Q
 BT
-/F62 9.9626 Tf 389.002 295.3 Td [(T)]TJ
+/F59 9.9626 Tf 389.002 295.3 Td [(T)]TJ
 ET
 q
 1 0 0 1 394.86 295.5 cm
 []0 d 0 J 0.398 w 0 0 m 3.138 0 l S
 Q
 BT
-/F62 9.9626 Tf 397.998 295.3 Td [(vect)]TJ
+/F59 9.9626 Tf 397.998 295.3 Td [(vect)]TJ
 ET
 q
 1 0 0 1 419.547 295.5 cm
 []0 d 0 J 0.398 w 0 0 m 3.138 0 l S
 Q
 BT
-/F62 9.9626 Tf 422.685 295.3 Td [(type)]TJ
+/F59 9.9626 Tf 422.685 295.3 Td [(type)]TJ
 0 g 0 G
-/F57 9.9626 Tf -297.883 -11.955 Td [(containing)-250(numbers)-250(of)-250(type)-250(speci\002ed)-250(in)-250(T)92(able)]TJ
+/F54 9.9626 Tf -297.883 -11.955 Td [(containing)-250(numbers)-250(of)-250(type)-250(speci\002ed)-250(in)-250(T)92(able)]TJ
 0 0 1 rg 0 0 1 RG
  [-250(7)]TJ
 0 g 0 G
  [(.)]TJ
 0 g 0 G
-/F54 9.9626 Tf -24.907 -22.459 Td [(desc)]TJ
+/F51 9.9626 Tf -24.907 -22.459 Td [(desc)]TJ
 ET
 q
 1 0 0 1 120.408 261.085 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F54 9.9626 Tf 123.397 260.886 Td [(a)]TJ
+/F51 9.9626 Tf 123.397 260.886 Td [(a)]TJ
 0 g 0 G
-/F57 9.9626 Tf 9.963 0 Td [(contains)-250(data)-250(str)8(uctur)18(es)-250(for)-250(communications.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.956 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(object)-250(of)-250(type)]TJ
+/F54 9.9626 Tf 9.963 0 Td [(contains)-250(data)-250(str)8(uctur)18(es)-250(for)-250(communications.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.956 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(object)-250(of)-250(type)]TJ
 0 0 1 rg 0 0 1 RG
-/F62 9.9626 Tf 132.243 0 Td [(psb)]TJ
+/F59 9.9626 Tf 132.243 0 Td [(psb)]TJ
 ET
 q
 1 0 0 1 273.363 213.264 cm
 []0 d 0 J 0.398 w 0 0 m 3.138 0 l S
 Q
 BT
-/F62 9.9626 Tf 276.501 213.065 Td [(desc)]TJ
+/F59 9.9626 Tf 276.501 213.065 Td [(desc)]TJ
 ET
 q
 1 0 0 1 298.05 213.264 cm
 []0 d 0 J 0.398 w 0 0 m 3.138 0 l S
 Q
 BT
-/F62 9.9626 Tf 301.189 213.065 Td [(type)]TJ
+/F59 9.9626 Tf 301.189 213.065 Td [(type)]TJ
 0 g 0 G
-/F57 9.9626 Tf 20.921 0 Td [(.)]TJ
+/F54 9.9626 Tf 20.921 0 Td [(.)]TJ
 0 g 0 G
-/F54 9.9626 Tf -222.215 -22.459 Td [(On)-250(Return)]TJ
+/F51 9.9626 Tf -222.215 -22.459 Td [(On)-250(Return)]TJ
 0 g 0 G
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  0 -22.46 Td [(res)]TJ
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-/F57 9.9626 Tf 18.262 0 Td [(contains)-250(the)-250(1-norm)-250(of)-250(\050the)-250(columns)-250(of\051)]TJ/F55 9.9626 Tf 176.182 0 Td [(x)]TJ/F57 9.9626 Tf 5.205 0 Td [(.)]TJ -174.742 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(global)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(out)]TJ/F57 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(Short)-255(as:)-320(a)-255(long)-254(pr)18(ecision)-255(r)18(eal)-255(number)74(.)-325(Speci\002ed)-255(as:)-320(a)-254(long)-255(pr)18(ecision)-255(r)18(eal)]TJ 0 -11.955 Td [(number)74(.)]TJ
+/F54 9.9626 Tf 18.262 0 Td [(contains)-250(the)-250(1-norm)-250(of)-250(\050the)-250(columns)-250(of\051)]TJ/F52 9.9626 Tf 176.182 0 Td [(x)]TJ/F54 9.9626 Tf 5.205 0 Td [(.)]TJ -174.742 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(global)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(Short)-255(as:)-320(a)-255(long)-254(pr)18(ecision)-255(r)18(eal)-255(number)74(.)-325(Speci\002ed)-255(as:)-320(a)-254(long)-255(pr)18(ecision)-255(r)18(eal)]TJ 0 -11.955 Td [(number)74(.)]TJ
 0 g 0 G
  141.968 -29.888 Td [(41)]TJ
 0 g 0 G
@@ -10580,9 +10580,9 @@ stream
 0 g 0 G
 0 g 0 G
 BT
-/F54 9.9626 Tf 150.705 706.129 Td [(info)]TJ
+/F51 9.9626 Tf 150.705 706.129 Td [(info)]TJ
 0 g 0 G
-/F57 9.9626 Tf 23.8 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.089 0 Td [(required)]TJ/F57 9.9626 Tf -27.089 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(out)]TJ/F57 9.9626 Tf 14.944 0 Td [(.)]TJ -46.745 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ
+/F54 9.9626 Tf 23.8 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(required)]TJ/F54 9.9626 Tf -27.089 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.745 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ
 0 g 0 G
  141.968 -567.87 Td [(42)]TJ
 0 g 0 G
@@ -10598,28 +10598,28 @@ stream
 0 g 0 G
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-/F57 9.9626 Tf 326.042 555.638 Td [(spnrmi)]TJ -140.223 -11.955 Td [(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ
+/F54 9.9626 Tf 326.042 555.638 Td [(spnrmi)]TJ -140.223 -11.955 Td [(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ
 ET
 q
 1 0 0 1 323.053 543.882 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F57 9.9626 Tf 326.042 543.683 Td [(spnrmi)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ
+/F54 9.9626 Tf 326.042 543.683 Td [(spnrmi)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ
 ET
 q
 1 0 0 1 323.053 531.927 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F57 9.9626 Tf 326.042 531.728 Td [(spnrmi)]TJ
+/F54 9.9626 Tf 326.042 531.728 Td [(spnrmi)]TJ
 ET
 q
 1 0 0 1 179.842 527.942 cm
@@ -11884,81 +11884,81 @@ q
 Q
 0 g 0 G
 BT
-/F57 9.9626 Tf 227.467 499.564 Td [(T)92(able)-250(11:)-310(Data)-250(types)]TJ
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 0 g 0 G
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 0 0 1 rg 0 0 1 RG
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 ET
 q
 1 0 0 1 273.363 344.346 cm
 []0 d 0 J 0.398 w 0 0 m 3.138 0 l S
 Q
 BT
-/F62 9.9626 Tf 276.501 344.147 Td [(Tspmat)]TJ
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 ET
 q
 1 0 0 1 308.511 344.346 cm
 []0 d 0 J 0.398 w 0 0 m 3.138 0 l S
 Q
 BT
-/F62 9.9626 Tf 311.649 344.147 Td [(type)]TJ
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-/F57 9.9626 Tf 20.922 0 Td [(.)]TJ
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 0 g 0 G
-/F54 9.9626 Tf -232.676 -19.926 Td [(desc)]TJ
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 ET
 q
 1 0 0 1 120.408 324.421 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F54 9.9626 Tf 123.397 324.221 Td [(a)]TJ
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 0 g 0 G
-/F57 9.9626 Tf 9.963 0 Td [(contains)-250(data)-250(str)8(uctur)18(es)-250(for)-250(communications.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(object)-250(of)-250(type)]TJ
+/F54 9.9626 Tf 9.963 0 Td [(contains)-250(data)-250(str)8(uctur)18(es)-250(for)-250(communications.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(object)-250(of)-250(type)]TJ
 0 0 1 rg 0 0 1 RG
-/F62 9.9626 Tf 132.243 0 Td [(psb)]TJ
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 ET
 q
 1 0 0 1 273.363 276.6 cm
 []0 d 0 J 0.398 w 0 0 m 3.138 0 l S
 Q
 BT
-/F62 9.9626 Tf 276.501 276.401 Td [(desc)]TJ
+/F59 9.9626 Tf 276.501 276.401 Td [(desc)]TJ
 ET
 q
 1 0 0 1 298.05 276.6 cm
 []0 d 0 J 0.398 w 0 0 m 3.138 0 l S
 Q
 BT
-/F62 9.9626 Tf 301.189 276.401 Td [(type)]TJ
+/F59 9.9626 Tf 301.189 276.401 Td [(type)]TJ
 0 g 0 G
-/F57 9.9626 Tf 20.921 0 Td [(.)]TJ
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 0 g 0 G
-/F54 9.9626 Tf -222.215 -19.926 Td [(On)-250(Return)]TJ
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 0 g 0 G
 0 g 0 G
  0 -19.925 Td [(Function)-250(value)]TJ
 0 g 0 G
-/F57 9.9626 Tf 72.777 0 Td [(is)-250(the)-250(in\002nity-norm)-250(of)-250(sparse)-250(submatrix)]TJ/F55 9.9626 Tf 177.627 0 Td [(A)]TJ/F57 9.9626 Tf 7.317 0 Td [(.)]TJ -232.814 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(global)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(long)-250(pr)18(ecision)-250(r)18(eal)-250(number)74(.)]TJ
+/F54 9.9626 Tf 72.777 0 Td [(is)-250(the)-250(in\002nity-norm)-250(of)-250(sparse)-250(submatrix)]TJ/F52 9.9626 Tf 177.627 0 Td [(A)]TJ/F54 9.9626 Tf 7.317 0 Td [(.)]TJ -232.814 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(global)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(long)-250(pr)18(ecision)-250(r)18(eal)-250(number)74(.)]TJ
 0 g 0 G
-/F54 9.9626 Tf -24.907 -19.926 Td [(info)]TJ
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 0 g 0 G
-/F57 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(out)]TJ/F57 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ
+/F54 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ
 0 g 0 G
  141.968 -54.456 Td [(47)]TJ
 0 g 0 G
@@ -11974,38 +11974,38 @@ stream
 0 g 0 G
 0 g 0 G
 BT
-/F54 11.9552 Tf 150.705 706.129 Td [(4.12)-1000(psb)]TJ
+/F51 11.9552 Tf 150.705 706.129 Td [(4.12)-1000(psb)]TJ
 ET
 q
 1 0 0 1 204.216 706.328 cm
 []0 d 0 J 0.398 w 0 0 m 3.587 0 l S
 Q
 BT
-/F54 11.9552 Tf 207.803 706.129 Td [(spmm)-250(\227)-250(Sparse)-250(Matrix)-250(by)-250(Dense)-250(Matrix)-250(Product)]TJ/F57 9.9626 Tf -57.098 -19.303 Td [(This)-250(subr)18(outine)-250(computes)-250(the)-250(Sparse)-250(Matrix)-250(by)-250(Dense)-250(Matrix)-250(Pr)18(oduct:)]TJ/F55 9.9626 Tf 140.147 -24.611 Td [(y)]TJ/F86 10.3811 Tf 7.998 0 Td [(\040)]TJ/F63 9.9626 Tf 13.397 0 Td [(a)]TJ/F55 9.9626 Tf 6.008 0 Td [(A)-42(x)]TJ/F88 10.3811 Tf 14.878 0 Td [(+)]TJ/F63 9.9626 Tf 10.505 0 Td [(b)]TJ/F55 9.9626 Tf 5.649 0 Td [(y)]TJ
+/F51 11.9552 Tf 207.803 706.129 Td [(spmm)-250(\227)-250(Sparse)-250(Matrix)-250(by)-250(Dense)-250(Matrix)-250(Product)]TJ/F54 9.9626 Tf -57.098 -19.303 Td [(This)-250(subr)18(outine)-250(computes)-250(the)-250(Sparse)-250(Matrix)-250(by)-250(Dense)-250(Matrix)-250(Pr)18(oduct:)]TJ/F52 9.9626 Tf 140.147 -24.611 Td [(y)]TJ/F83 10.3811 Tf 7.998 0 Td [(\040)]TJ/F60 9.9626 Tf 13.397 0 Td [(a)]TJ/F52 9.9626 Tf 6.008 0 Td [(A)-42(x)]TJ/F85 10.3811 Tf 14.878 0 Td [(+)]TJ/F60 9.9626 Tf 10.505 0 Td [(b)]TJ/F52 9.9626 Tf 5.649 0 Td [(y)]TJ
 0 g 0 G
-/F57 9.9626 Tf 133.513 0 Td [(\0501\051)]TJ
+/F54 9.9626 Tf 133.513 0 Td [(\0501\051)]TJ
 0 g 0 G
-/F55 9.9626 Tf -194.745 -20.13 Td [(y)]TJ/F86 10.3811 Tf 7.998 0 Td [(\040)]TJ/F63 9.9626 Tf 13.398 0 Td [(a)]TJ/F55 9.9626 Tf 6.007 0 Td [(A)]TJ/F55 7.5716 Tf 7.511 4.115 Td [(T)]TJ/F55 9.9626 Tf 5.694 -4.115 Td [(x)]TJ/F88 10.3811 Tf 7.267 0 Td [(+)]TJ/F63 9.9626 Tf 10.505 0 Td [(b)]TJ/F55 9.9626 Tf 5.649 0 Td [(y)]TJ
+/F52 9.9626 Tf -194.745 -20.13 Td [(y)]TJ/F83 10.3811 Tf 7.998 0 Td [(\040)]TJ/F60 9.9626 Tf 13.398 0 Td [(a)]TJ/F52 9.9626 Tf 6.007 0 Td [(A)]TJ/F52 7.5716 Tf 7.511 4.115 Td [(T)]TJ/F52 9.9626 Tf 5.694 -4.115 Td [(x)]TJ/F85 10.3811 Tf 7.267 0 Td [(+)]TJ/F60 9.9626 Tf 10.505 0 Td [(b)]TJ/F52 9.9626 Tf 5.649 0 Td [(y)]TJ
 0 g 0 G
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+/F54 9.9626 Tf 130.715 0 Td [(\0502\051)]TJ
 0 g 0 G
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+/F52 9.9626 Tf -195.482 -20.129 Td [(y)]TJ/F83 10.3811 Tf 7.998 0 Td [(\040)]TJ/F60 9.9626 Tf 13.397 0 Td [(a)]TJ/F52 9.9626 Tf 6.008 0 Td [(A)]TJ/F52 7.5716 Tf 7.7 4.114 Td [(H)]TJ/F52 9.9626 Tf 6.981 -4.114 Td [(x)]TJ/F85 10.3811 Tf 7.267 0 Td [(+)]TJ/F60 9.9626 Tf 10.505 0 Td [(b)]TJ/F52 9.9626 Tf 5.649 0 Td [(y)]TJ
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+/F54 9.9626 Tf 129.977 0 Td [(\0503\051)]TJ
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+/F54 9.9626 Tf 10.186 0 Td [(is)-250(the)-250(global)-250(dense)-250(matrix)]TJ/F52 9.9626 Tf 115.61 0 Td [(x)]TJ/F54 7.5716 Tf 5.201 -1.494 Td [(:)-12(,)-13(:)]TJ
 0 g 0 G
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+/F52 9.9626 Tf -131.167 -19.132 Td [(y)]TJ
 0 g 0 G
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+/F54 9.9626 Tf 10.087 0 Td [(is)-250(the)-250(global)-250(dense)-250(matrix)]TJ/F52 9.9626 Tf 115.441 0 Td [(y)]TJ/F54 7.5716 Tf 5.2 -1.494 Td [(:)-13(,)-12(:)]TJ
 0 g 0 G
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+/F52 9.9626 Tf -130.23 -19.131 Td [(A)]TJ
 0 g 0 G
-/F57 9.9626 Tf 12.299 0 Td [(is)-250(the)-250(global)-250(sparse)-250(matrix)]TJ/F55 9.9626 Tf 118.41 0 Td [(A)]TJ
+/F54 9.9626 Tf 12.299 0 Td [(is)-250(the)-250(global)-250(sparse)-250(matrix)]TJ/F52 9.9626 Tf 118.41 0 Td [(A)]TJ
 0 g 0 G
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@@ -12015,42 +12015,42 @@ q
 []0 d 0 J 0.398 w 0 0 m 184.337 0 l S
 Q
 BT
-/F55 9.9626 Tf 236.992 509.418 Td [(A)]TJ/F57 9.9626 Tf 7.318 0 Td [(,)]TJ/F55 9.9626 Tf 5.275 0 Td [(x)]TJ/F57 9.9626 Tf 5.205 0 Td [(,)]TJ/F55 9.9626 Tf 5.106 0 Td [(y)]TJ/F57 9.9626 Tf 5.106 0 Td [(,)]TJ/F63 9.9626 Tf 5.106 0 Td [(a)]TJ/F57 9.9626 Tf 5.385 0 Td [(,)]TJ/F63 9.9626 Tf 5.355 0 Td [(b)]TJ/F54 9.9626 Tf 76.437 0 Td [(Subroutine)]TJ
+/F52 9.9626 Tf 236.992 509.418 Td [(A)]TJ/F54 9.9626 Tf 7.318 0 Td [(,)]TJ/F52 9.9626 Tf 5.275 0 Td [(x)]TJ/F54 9.9626 Tf 5.205 0 Td [(,)]TJ/F52 9.9626 Tf 5.106 0 Td [(y)]TJ/F54 9.9626 Tf 5.106 0 Td [(,)]TJ/F60 9.9626 Tf 5.106 0 Td [(a)]TJ/F54 9.9626 Tf 5.385 0 Td [(,)]TJ/F60 9.9626 Tf 5.355 0 Td [(b)]TJ/F51 9.9626 Tf 76.437 0 Td [(Subroutine)]TJ
 ET
 q
 1 0 0 1 230.392 505.633 cm
 []0 d 0 J 0.398 w 0 0 m 184.337 0 l S
 Q
 BT
-/F57 9.9626 Tf 236.369 497.065 Td [(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ
+/F54 9.9626 Tf 236.369 497.065 Td [(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ
 ET
 q
 1 0 0 1 373.603 497.264 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F57 9.9626 Tf 376.592 497.065 Td [(spmm)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ
+/F54 9.9626 Tf 376.592 497.065 Td [(spmm)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ
 ET
 q
 1 0 0 1 373.603 485.309 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F57 9.9626 Tf 376.592 485.11 Td [(spmm)]TJ -140.223 -11.956 Td [(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ
+/F54 9.9626 Tf 376.592 485.11 Td [(spmm)]TJ -140.223 -11.956 Td [(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ
 ET
 q
 1 0 0 1 373.603 473.354 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F57 9.9626 Tf 376.592 473.154 Td [(spmm)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ
+/F54 9.9626 Tf 376.592 473.154 Td [(spmm)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ
 ET
 q
 1 0 0 1 373.603 461.398 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F57 9.9626 Tf 376.592 461.199 Td [(spmm)]TJ
+/F54 9.9626 Tf 376.592 461.199 Td [(spmm)]TJ
 ET
 q
 1 0 0 1 230.392 457.413 cm
@@ -12058,11 +12058,11 @@ q
 Q
 0 g 0 G
 BT
-/F57 9.9626 Tf 278.277 429.035 Td [(T)92(able)-250(12:)-310(Data)-250(types)]TJ
+/F54 9.9626 Tf 278.277 429.035 Td [(T)92(able)-250(12:)-310(Data)-250(types)]TJ
 0 g 0 G
 0 g 0 G
 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG
-/F62 9.9626 Tf -107.398 -24.261 Td [(call)]TJ
+/F59 9.9626 Tf -107.398 -24.261 Td [(call)]TJ
 0 g 0 G
  [-525(psb_spmm\050alpha,)-525(a,)-525(x,)-525(beta,)-525(y,)-525(desc_a,)-525(info\051)]TJ
 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG
@@ -12070,75 +12070,75 @@ BT
 0 g 0 G
  [-525(psb_spmm\050alpha,)-525(a,)-525(x,)-525(beta,)-525(y,desc_a,)-525(info,)-525(trans,)-525(work\051)]TJ
 0 g 0 G
-/F54 9.9626 Tf -5.23 -22.618 Td [(T)90(ype:)]TJ
+/F51 9.9626 Tf -5.23 -22.618 Td [(T)90(ype:)]TJ
 0 g 0 G
-/F57 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ
+/F54 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ
 0 g 0 G
-/F54 9.9626 Tf -29.828 -20.626 Td [(On)-250(Entry)]TJ
+/F51 9.9626 Tf -29.828 -20.626 Td [(On)-250(Entry)]TJ
 0 g 0 G
 0 g 0 G
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-/F54 9.9626 Tf -24.907 -18.597 Td [(On)-250(Return)]TJ
+/F51 9.9626 Tf -24.907 -18.597 Td [(On)-250(Return)]TJ
 0 g 0 G
 0 g 0 G
  0 -18.597 Td [(y)]TJ
 0 g 0 G
-/F57 9.9626 Tf 10.521 0 Td [(the)-250(local)-250(portion)-250(of)-250(r)18(esult)-250(matrix)]TJ/F55 9.9626 Tf 144.939 0 Td [(y)]TJ/F57 9.9626 Tf 5.106 0 Td [(.)]TJ -135.659 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(inout)]TJ/F57 9.9626 Tf 24.349 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-379(as:)-568(an)-379(array)-379(of)-379(rank)-379(one)-379(or)-379(two)-379(containing)-379(numbers)-379(of)-379(type)]TJ 0 -11.955 Td [(speci\002ed)-250(in)-250(T)92(able)]TJ
+/F54 9.9626 Tf 10.521 0 Td [(the)-250(local)-250(portion)-250(of)-250(r)18(esult)-250(matrix)]TJ/F52 9.9626 Tf 144.939 0 Td [(y)]TJ/F54 9.9626 Tf 5.106 0 Td [(.)]TJ -135.659 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(inout)]TJ/F54 9.9626 Tf 24.349 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-379(as:)-568(an)-379(array)-379(of)-379(rank)-379(one)-379(or)-379(two)-379(containing)-379(numbers)-379(of)-379(type)]TJ 0 -11.955 Td [(speci\002ed)-250(in)-250(T)92(able)]TJ
 0 0 1 rg 0 0 1 RG
  [-250(12)]TJ
 0 g 0 G
  [(.)]TJ
 0 g 0 G
-/F54 9.9626 Tf -24.907 -18.597 Td [(info)]TJ
+/F51 9.9626 Tf -24.907 -18.597 Td [(info)]TJ
 0 g 0 G
-/F57 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(out)]TJ/F57 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.956 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ
+/F54 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.956 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ
 0 g 0 G
  141.968 -36.529 Td [(49)]TJ
 0 g 0 G
@@ -12284,32 +12284,32 @@ stream
 0 g 0 G
 0 g 0 G
 BT
-/F54 11.9552 Tf 150.705 706.129 Td [(4.13)-1000(psb)]TJ
+/F51 11.9552 Tf 150.705 706.129 Td [(4.13)-1000(psb)]TJ
 ET
 q
 1 0 0 1 204.216 706.328 cm
 []0 d 0 J 0.398 w 0 0 m 3.587 0 l S
 Q
 BT
-/F54 11.9552 Tf 207.803 706.129 Td [(spsm)-250(\227)-250(T)111(riangular)-250(System)-250(Solve)]TJ/F57 9.9626 Tf -57.098 -19.83 Td [(This)-250(subr)18(outine)-250(computes)-250(the)-250(T)90(riangular)-250(System)-250(Solve:)]TJ/F55 9.9626 Tf 122.724 -35.213 Td [(y)]TJ/F86 10.3811 Tf 15.193 0 Td [(\040)]TJ/F63 9.9626 Tf 20.593 0 Td [(a)]TJ/F55 9.9626 Tf 5.639 0 Td [(T)]TJ/F86 7.8896 Tf 6.545 4.115 Td [(\000)]TJ/F57 7.5716 Tf 6.228 0 Td [(1)]TJ/F55 9.9626 Tf 4.577 -4.115 Td [(x)]TJ/F88 10.3811 Tf 7.267 0 Td [(+)]TJ/F63 9.9626 Tf 10.505 0 Td [(b)]TJ/F55 9.9626 Tf 5.649 0 Td [(y)]TJ -82.196 -16.139 Td [(y)]TJ/F86 10.3811 Tf 15.193 0 Td [(\040)]TJ/F63 9.9626 Tf 20.593 0 Td [(a)]TJ/F55 9.9626 Tf 5.708 0 Td [(D)-48(T)]TJ/F86 7.8896 Tf 14.775 4.114 Td [(\000)]TJ/F57 7.5716 Tf 6.227 0 Td [(1)]TJ/F55 9.9626 Tf 4.578 -4.114 Td [(x)]TJ/F88 10.3811 Tf 7.267 0 Td [(+)]TJ/F63 9.9626 Tf 10.505 0 Td [(b)]TJ/F55 9.9626 Tf 5.649 0 Td [(y)]TJ -90.495 -16.139 Td [(y)]TJ/F86 10.3811 Tf 15.193 0 Td [(\040)]TJ/F63 9.9626 Tf 20.593 0 Td [(a)]TJ/F55 9.9626 Tf 5.639 0 Td [(T)]TJ/F86 7.8896 Tf 6.545 4.114 Td [(\000)]TJ/F57 7.5716 Tf 6.228 0 Td [(1)]TJ/F55 9.9626 Tf 4.607 -4.114 Td [(D)-52(x)]TJ/F88 10.3811 Tf 15.536 0 Td [(+)]TJ/F63 9.9626 Tf 10.505 0 Td [(b)]TJ/F55 9.9626 Tf 5.649 0 Td [(y)]TJ -90.495 -16.09 Td [(y)]TJ/F86 10.3811 Tf 15.193 0 Td [(\040)]TJ/F63 9.9626 Tf 20.593 0 Td [(a)]TJ/F55 9.9626 Tf 5.639 0 Td [(T)]TJ/F86 7.8896 Tf 6.545 4.114 Td [(\000)]TJ/F55 7.5716 Tf 6.421 0 Td [(T)]TJ/F55 9.9626 Tf 5.694 -4.114 Td [(x)]TJ/F88 10.3811 Tf 7.267 0 Td [(+)]TJ/F63 9.9626 Tf 10.505 0 Td [(b)]TJ/F55 9.9626 Tf 5.649 0 Td [(y)]TJ -83.506 -16.09 Td [(y)]TJ/F86 10.3811 Tf 15.193 0 Td [(\040)]TJ/F63 9.9626 Tf 20.593 0 Td [(a)]TJ/F55 9.9626 Tf 5.708 0 Td [(D)-48(T)]TJ/F86 7.8896 Tf 14.775 4.114 Td [(\000)]TJ/F55 7.5716 Tf 6.42 0 Td [(T)]TJ/F55 9.9626 Tf 5.695 -4.114 Td [(x)]TJ/F88 10.3811 Tf 7.267 0 Td [(+)]TJ/F63 9.9626 Tf 10.505 0 Td [(b)]TJ/F55 9.9626 Tf 5.649 0 Td [(y)]TJ -91.805 -16.09 Td [(y)]TJ/F86 10.3811 Tf 15.193 0 Td [(\040)]TJ/F63 9.9626 Tf 20.593 0 Td [(a)]TJ/F55 9.9626 Tf 5.639 0 Td [(T)]TJ/F86 7.8896 Tf 6.545 4.114 Td [(\000)]TJ/F55 7.5716 Tf 6.421 0 Td [(T)]TJ/F55 9.9626 Tf 5.724 -4.114 Td [(D)-52(x)]TJ/F88 10.3811 Tf 15.536 0 Td [(+)]TJ/F63 9.9626 Tf 10.505 0 Td [(b)]TJ/F55 9.9626 Tf 5.649 0 Td [(y)]TJ -91.805 -16.091 Td [(y)]TJ/F86 10.3811 Tf 15.193 0 Td [(\040)]TJ/F63 9.9626 Tf 20.593 0 Td [(a)]TJ/F55 9.9626 Tf 5.639 0 Td [(T)]TJ/F86 7.8896 Tf 6.545 4.115 Td [(\000)]TJ/F55 7.5716 Tf 6.61 0 Td [(H)]TJ/F55 9.9626 Tf 6.982 -4.115 Td [(x)]TJ/F88 10.3811 Tf 7.267 0 Td [(+)]TJ/F63 9.9626 Tf 10.505 0 Td [(b)]TJ/F55 9.9626 Tf 5.648 0 Td [(y)]TJ -84.982 -16.09 Td [(y)]TJ/F86 10.3811 Tf 15.193 0 Td [(\040)]TJ/F63 9.9626 Tf 20.593 0 Td [(a)]TJ/F55 9.9626 Tf 5.708 0 Td [(D)-48(T)]TJ/F86 7.8896 Tf 14.775 4.115 Td [(\000)]TJ/F55 7.5716 Tf 6.61 0 Td [(H)]TJ/F55 9.9626 Tf 6.982 -4.115 Td [(x)]TJ/F88 10.3811 Tf 7.267 0 Td [(+)]TJ/F63 9.9626 Tf 10.504 0 Td [(b)]TJ/F55 9.9626 Tf 5.649 0 Td [(y)]TJ -93.281 -16.09 Td [(y)]TJ/F86 10.3811 Tf 15.193 0 Td [(\040)]TJ/F63 9.9626 Tf 20.593 0 Td [(a)]TJ/F55 9.9626 Tf 5.639 0 Td [(T)]TJ/F86 7.8896 Tf 6.545 4.115 Td [(\000)]TJ/F55 7.5716 Tf 6.61 0 Td [(H)]TJ/F55 9.9626 Tf 7.012 -4.115 Td [(D)-52(x)]TJ/F88 10.3811 Tf 15.536 0 Td [(+)]TJ/F63 9.9626 Tf 10.505 0 Td [(b)]TJ/F55 9.9626 Tf 5.648 0 Td [(y)]TJ/F57 9.9626 Tf -201.061 -38.202 Td [(wher)18(e:)]TJ
+/F51 11.9552 Tf 207.803 706.129 Td [(spsm)-250(\227)-250(T)111(riangular)-250(System)-250(Solve)]TJ/F54 9.9626 Tf -57.098 -19.83 Td [(This)-250(subr)18(outine)-250(computes)-250(the)-250(T)90(riangular)-250(System)-250(Solve:)]TJ/F52 9.9626 Tf 122.724 -35.213 Td [(y)]TJ/F83 10.3811 Tf 15.193 0 Td [(\040)]TJ/F60 9.9626 Tf 20.593 0 Td [(a)]TJ/F52 9.9626 Tf 5.639 0 Td [(T)]TJ/F83 7.8896 Tf 6.545 4.115 Td [(\000)]TJ/F54 7.5716 Tf 6.228 0 Td [(1)]TJ/F52 9.9626 Tf 4.577 -4.115 Td [(x)]TJ/F85 10.3811 Tf 7.267 0 Td [(+)]TJ/F60 9.9626 Tf 10.505 0 Td [(b)]TJ/F52 9.9626 Tf 5.649 0 Td [(y)]TJ -82.196 -16.139 Td [(y)]TJ/F83 10.3811 Tf 15.193 0 Td [(\040)]TJ/F60 9.9626 Tf 20.593 0 Td [(a)]TJ/F52 9.9626 Tf 5.708 0 Td [(D)-48(T)]TJ/F83 7.8896 Tf 14.775 4.114 Td [(\000)]TJ/F54 7.5716 Tf 6.227 0 Td [(1)]TJ/F52 9.9626 Tf 4.578 -4.114 Td [(x)]TJ/F85 10.3811 Tf 7.267 0 Td [(+)]TJ/F60 9.9626 Tf 10.505 0 Td [(b)]TJ/F52 9.9626 Tf 5.649 0 Td [(y)]TJ -90.495 -16.139 Td [(y)]TJ/F83 10.3811 Tf 15.193 0 Td [(\040)]TJ/F60 9.9626 Tf 20.593 0 Td [(a)]TJ/F52 9.9626 Tf 5.639 0 Td [(T)]TJ/F83 7.8896 Tf 6.545 4.114 Td [(\000)]TJ/F54 7.5716 Tf 6.228 0 Td [(1)]TJ/F52 9.9626 Tf 4.607 -4.114 Td [(D)-52(x)]TJ/F85 10.3811 Tf 15.536 0 Td [(+)]TJ/F60 9.9626 Tf 10.505 0 Td [(b)]TJ/F52 9.9626 Tf 5.649 0 Td [(y)]TJ -90.495 -16.09 Td [(y)]TJ/F83 10.3811 Tf 15.193 0 Td [(\040)]TJ/F60 9.9626 Tf 20.593 0 Td [(a)]TJ/F52 9.9626 Tf 5.639 0 Td [(T)]TJ/F83 7.8896 Tf 6.545 4.114 Td [(\000)]TJ/F52 7.5716 Tf 6.421 0 Td [(T)]TJ/F52 9.9626 Tf 5.694 -4.114 Td [(x)]TJ/F85 10.3811 Tf 7.267 0 Td [(+)]TJ/F60 9.9626 Tf 10.505 0 Td [(b)]TJ/F52 9.9626 Tf 5.649 0 Td [(y)]TJ -83.506 -16.09 Td [(y)]TJ/F83 10.3811 Tf 15.193 0 Td [(\040)]TJ/F60 9.9626 Tf 20.593 0 Td [(a)]TJ/F52 9.9626 Tf 5.708 0 Td [(D)-48(T)]TJ/F83 7.8896 Tf 14.775 4.114 Td [(\000)]TJ/F52 7.5716 Tf 6.42 0 Td [(T)]TJ/F52 9.9626 Tf 5.695 -4.114 Td [(x)]TJ/F85 10.3811 Tf 7.267 0 Td [(+)]TJ/F60 9.9626 Tf 10.505 0 Td [(b)]TJ/F52 9.9626 Tf 5.649 0 Td [(y)]TJ -91.805 -16.09 Td [(y)]TJ/F83 10.3811 Tf 15.193 0 Td [(\040)]TJ/F60 9.9626 Tf 20.593 0 Td [(a)]TJ/F52 9.9626 Tf 5.639 0 Td [(T)]TJ/F83 7.8896 Tf 6.545 4.114 Td [(\000)]TJ/F52 7.5716 Tf 6.421 0 Td [(T)]TJ/F52 9.9626 Tf 5.724 -4.114 Td [(D)-52(x)]TJ/F85 10.3811 Tf 15.536 0 Td [(+)]TJ/F60 9.9626 Tf 10.505 0 Td [(b)]TJ/F52 9.9626 Tf 5.649 0 Td [(y)]TJ -91.805 -16.091 Td [(y)]TJ/F83 10.3811 Tf 15.193 0 Td [(\040)]TJ/F60 9.9626 Tf 20.593 0 Td [(a)]TJ/F52 9.9626 Tf 5.639 0 Td [(T)]TJ/F83 7.8896 Tf 6.545 4.115 Td [(\000)]TJ/F52 7.5716 Tf 6.61 0 Td [(H)]TJ/F52 9.9626 Tf 6.982 -4.115 Td [(x)]TJ/F85 10.3811 Tf 7.267 0 Td [(+)]TJ/F60 9.9626 Tf 10.505 0 Td [(b)]TJ/F52 9.9626 Tf 5.648 0 Td [(y)]TJ -84.982 -16.09 Td [(y)]TJ/F83 10.3811 Tf 15.193 0 Td [(\040)]TJ/F60 9.9626 Tf 20.593 0 Td [(a)]TJ/F52 9.9626 Tf 5.708 0 Td [(D)-48(T)]TJ/F83 7.8896 Tf 14.775 4.115 Td [(\000)]TJ/F52 7.5716 Tf 6.61 0 Td [(H)]TJ/F52 9.9626 Tf 6.982 -4.115 Td [(x)]TJ/F85 10.3811 Tf 7.267 0 Td [(+)]TJ/F60 9.9626 Tf 10.504 0 Td [(b)]TJ/F52 9.9626 Tf 5.649 0 Td [(y)]TJ -93.281 -16.09 Td [(y)]TJ/F83 10.3811 Tf 15.193 0 Td [(\040)]TJ/F60 9.9626 Tf 20.593 0 Td [(a)]TJ/F52 9.9626 Tf 5.639 0 Td [(T)]TJ/F83 7.8896 Tf 6.545 4.115 Td [(\000)]TJ/F52 7.5716 Tf 6.61 0 Td [(H)]TJ/F52 9.9626 Tf 7.012 -4.115 Td [(D)-52(x)]TJ/F85 10.3811 Tf 15.536 0 Td [(+)]TJ/F60 9.9626 Tf 10.505 0 Td [(b)]TJ/F52 9.9626 Tf 5.648 0 Td [(y)]TJ/F54 9.9626 Tf -201.061 -38.202 Td [(wher)18(e:)]TJ
 0 g 0 G
-/F55 9.9626 Tf -14.65 -21.265 Td [(x)]TJ
+/F52 9.9626 Tf -14.65 -21.265 Td [(x)]TJ
 0 g 0 G
-/F57 9.9626 Tf 10.186 0 Td [(is)-250(the)-250(global)-250(dense)-250(matrix)]TJ/F55 9.9626 Tf 115.61 0 Td [(x)]TJ/F57 7.5716 Tf 5.201 -1.495 Td [(:)-12(,)-13(:)]TJ
+/F54 9.9626 Tf 10.186 0 Td [(is)-250(the)-250(global)-250(dense)-250(matrix)]TJ/F52 9.9626 Tf 115.61 0 Td [(x)]TJ/F54 7.5716 Tf 5.201 -1.495 Td [(:)-12(,)-13(:)]TJ
 0 g 0 G
-/F55 9.9626 Tf -131.167 -20.218 Td [(y)]TJ
+/F52 9.9626 Tf -131.167 -20.218 Td [(y)]TJ
 0 g 0 G
-/F57 9.9626 Tf 10.087 0 Td [(is)-250(the)-250(global)-250(dense)-250(matrix)]TJ/F55 9.9626 Tf 115.441 0 Td [(y)]TJ/F57 7.5716 Tf 5.201 -1.494 Td [(:)-12(,)-13(:)]TJ
+/F54 9.9626 Tf 10.087 0 Td [(is)-250(the)-250(global)-250(dense)-250(matrix)]TJ/F52 9.9626 Tf 115.441 0 Td [(y)]TJ/F54 7.5716 Tf 5.201 -1.494 Td [(:)-12(,)-13(:)]TJ
 0 g 0 G
-/F55 9.9626 Tf -130.599 -20.218 Td [(T)]TJ
+/F52 9.9626 Tf -130.599 -20.218 Td [(T)]TJ
 0 g 0 G
-/F57 9.9626 Tf 11.432 0 Td [(is)-250(the)-250(global)-250(sparse)-250(block)-250(triangular)-250(submatrix)]TJ/F55 9.9626 Tf 206.797 0 Td [(T)]TJ
+/F54 9.9626 Tf 11.432 0 Td [(is)-250(the)-250(global)-250(sparse)-250(block)-250(triangular)-250(submatrix)]TJ/F52 9.9626 Tf 206.797 0 Td [(T)]TJ
 0 g 0 G
  -218.159 -21.712 Td [(D)]TJ
 0 g 0 G
-/F57 9.9626 Tf 12.956 0 Td [(is)-250(the)-250(scaling)-250(diagonal)-250(matrix.)]TJ
+/F54 9.9626 Tf 12.956 0 Td [(is)-250(the)-250(scaling)-250(diagonal)-250(matrix.)]TJ
 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG
-/F62 9.9626 Tf 6.894 -21.266 Td [(call)]TJ
+/F59 9.9626 Tf 6.894 -21.266 Td [(call)]TJ
 0 g 0 G
  [-525(psb_spsm\050alpha,)-525(t,)-525(x,)-525(beta,)-525(y,)-525(desc_a,)-525(info\051)]TJ
 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG
@@ -12325,42 +12325,42 @@ q
 []0 d 0 J 0.398 w 0 0 m 184.337 0 l S
 Q
 BT
-/F55 9.9626 Tf 236.623 330.871 Td [(T)]TJ/F57 9.9626 Tf 6.451 0 Td [(,)]TJ/F55 9.9626 Tf 5.275 0 Td [(x)]TJ/F57 9.9626 Tf 5.206 0 Td [(,)]TJ/F55 9.9626 Tf 5.106 0 Td [(y)]TJ/F57 9.9626 Tf 5.105 0 Td [(,)]TJ/F55 9.9626 Tf 5.306 0 Td [(D)]TJ/F57 9.9626 Tf 7.975 0 Td [(,)]TJ/F63 9.9626 Tf 5.105 0 Td [(a)]TJ/F57 9.9626 Tf 5.385 0 Td [(,)]TJ/F63 9.9626 Tf 5.355 0 Td [(b)]TJ/F54 9.9626 Tf 64.393 0 Td [(Subroutine)]TJ
+/F52 9.9626 Tf 236.623 330.871 Td [(T)]TJ/F54 9.9626 Tf 6.451 0 Td [(,)]TJ/F52 9.9626 Tf 5.275 0 Td [(x)]TJ/F54 9.9626 Tf 5.206 0 Td [(,)]TJ/F52 9.9626 Tf 5.106 0 Td [(y)]TJ/F54 9.9626 Tf 5.105 0 Td [(,)]TJ/F52 9.9626 Tf 5.306 0 Td [(D)]TJ/F54 9.9626 Tf 7.975 0 Td [(,)]TJ/F60 9.9626 Tf 5.105 0 Td [(a)]TJ/F54 9.9626 Tf 5.385 0 Td [(,)]TJ/F60 9.9626 Tf 5.355 0 Td [(b)]TJ/F51 9.9626 Tf 64.393 0 Td [(Subroutine)]TJ
 ET
 q
 1 0 0 1 230.392 327.085 cm
 []0 d 0 J 0.398 w 0 0 m 184.337 0 l S
 Q
 BT
-/F57 9.9626 Tf 236.369 318.517 Td [(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ
+/F54 9.9626 Tf 236.369 318.517 Td [(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ
 ET
 q
 1 0 0 1 373.603 318.716 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F57 9.9626 Tf 376.592 318.517 Td [(spsm)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ
+/F54 9.9626 Tf 376.592 318.517 Td [(spsm)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ
 ET
 q
 1 0 0 1 373.603 306.761 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F57 9.9626 Tf 376.592 306.562 Td [(spsm)]TJ -140.223 -11.955 Td [(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ
+/F54 9.9626 Tf 376.592 306.562 Td [(spsm)]TJ -140.223 -11.955 Td [(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ
 ET
 q
 1 0 0 1 373.603 294.806 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F57 9.9626 Tf 376.592 294.607 Td [(spsm)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ
+/F54 9.9626 Tf 376.592 294.607 Td [(spsm)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ
 ET
 q
 1 0 0 1 373.603 282.851 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F57 9.9626 Tf 376.592 282.652 Td [(spsm)]TJ
+/F54 9.9626 Tf 376.592 282.652 Td [(spsm)]TJ
 ET
 q
 1 0 0 1 230.392 278.866 cm
@@ -12368,20 +12368,20 @@ q
 Q
 0 g 0 G
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-/F57 9.9626 Tf 329.235 574.109 Td [(gemlt)]TJ
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 ET
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 1 0 0 1 289.642 421.777 cm
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-/F62 9.9626 Tf 292.781 421.578 Td [(vect)]TJ
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 ET
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 1 0 0 1 289.642 434.555 cm
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 ET
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 ET
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 ET
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 ET
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-/F62 9.9626 Tf 283.785 204.972 Td [(T)]TJ
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 ET
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 1 0 0 1 289.642 205.171 cm
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-/F62 9.9626 Tf 292.781 204.972 Td [(vect)]TJ
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 ET
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 ET
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 ET
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+/F54 8.9664 Tf 209.77 645.656 Td [(Pr)18(ocess)-250(0)-7729(Pr)18(ocess)-250(1)]TJ -31.696 -10.959 Td [(I)-1333(GLOB\050I\051)-1334(X\050I\051)-4663(I)-1333(GLOB\050I\051)-1333(X\050I\051)]TJ -1.462 -10.959 Td [(1)-4607(1)-1754(1.0)-4500(1)-4107(33)-1753(2.0)]TJ 0 -10.959 Td [(2)-4607(2)-1754(1.0)-4500(2)-4107(34)-1753(2.0)]TJ 0 -10.959 Td [(3)-4607(3)-1754(1.0)-4500(3)-4107(35)-1753(2.0)]TJ 0 -10.959 Td [(4)-4607(4)-1754(1.0)-4500(4)-4107(36)-1753(2.0)]TJ 0 -10.959 Td [(5)-4607(5)-1754(1.0)-4500(5)-4107(37)-1753(2.0)]TJ 0 -10.959 Td [(6)-4607(6)-1754(1.0)-4500(6)-4107(38)-1753(2.0)]TJ 0 -10.959 Td [(7)-4607(7)-1754(1.0)-4500(7)-4107(39)-1753(2.0)]TJ 0 -10.958 Td [(8)-4607(8)-1754(1.0)-4500(8)-4107(40)-1753(2.0)]TJ 0 -10.959 Td [(9)-4607(9)-1754(1.0)-4500(9)-4107(41)-1753(2.0)]TJ -4.483 -10.959 Td [(10)-4107(10)-1754(1.0)-4000(10)-4107(42)-1753(2.0)]TJ 0 -10.959 Td [(11)-4107(11)-1754(1.0)-4000(11)-4107(43)-1753(2.0)]TJ 0 -10.959 Td [(12)-4107(12)-1754(1.0)-4000(12)-4107(44)-1753(2.0)]TJ 0 -10.959 Td [(13)-4107(13)-1754(1.0)-4000(13)-4107(45)-1753(2.0)]TJ 0 -10.959 Td [(14)-4107(14)-1754(1.0)-4000(14)-4107(46)-1753(2.0)]TJ 0 -10.959 Td [(15)-4107(15)-1754(1.0)-4000(15)-4107(47)-1753(2.0)]TJ 0 -10.959 Td [(16)-4107(16)-1754(1.0)-4000(16)-4107(48)-1753(2.0)]TJ 0 -10.959 Td [(17)-4107(17)-1754(1.0)-4000(17)-4107(49)-1753(2.0)]TJ 0 -10.958 Td [(18)-4107(18)-1754(1.0)-4000(18)-4107(50)-1753(2.0)]TJ 0 -10.959 Td [(19)-4107(19)-1754(1.0)-4000(19)-4107(51)-1753(2.0)]TJ 0 -10.959 Td [(20)-4107(20)-1754(1.0)-4000(20)-4107(52)-1753(2.0)]TJ 0 -10.959 Td [(21)-4107(21)-1754(1.0)-4000(21)-4107(53)-1753(2.0)]TJ 0 -10.959 Td [(22)-4107(22)-1754(1.0)-4000(22)-4107(54)-1753(2.0)]TJ 0 -10.959 Td [(23)-4107(23)-1754(1.0)-4000(23)-4107(55)-1753(2.0)]TJ 0 -10.959 Td [(24)-4107(24)-1754(1.0)-4000(24)-4107(56)-1753(2.0)]TJ 0 -10.959 Td [(25)-4107(25)-1754(1.0)-4000(25)-4107(57)-1753(2.0)]TJ 0 -10.959 Td [(26)-4107(26)-1754(1.0)-4000(26)-4107(58)-1753(2.0)]TJ 0 -10.959 Td [(27)-4107(27)-1754(1.0)-4000(27)-4107(59)-1753(2.0)]TJ 0 -10.958 Td [(28)-4107(28)-1754(1.0)-4000(28)-4107(60)-1753(2.0)]TJ 0 -10.959 Td [(29)-4107(29)-1754(1.0)-4000(29)-4107(61)-1753(2.0)]TJ 0 -10.959 Td [(30)-4107(30)-1754(1.0)-4000(30)-4107(62)-1753(2.0)]TJ 0 -10.959 Td [(31)-4107(31)-1754(1.0)-4000(31)-4107(63)-1753(2.0)]TJ 0 -10.959 Td [(32)-4107(32)-1754(1.0)-4000(32)-4107(64)-1753(2.0)]TJ 0 -10.959 Td [(33)-4107(33)-1754(2.0)-4000(33)-4107(25)-1753(1.0)]TJ 0 -10.959 Td [(34)-4107(34)-1754(2.0)-4000(34)-4107(26)-1753(1.0)]TJ 0 -10.959 Td [(35)-4107(35)-1754(2.0)-4000(35)-4107(27)-1753(1.0)]TJ 0 -10.959 Td [(36)-4107(36)-1754(2.0)-4000(36)-4107(28)-1753(1.0)]TJ 0 -10.959 Td [(37)-4107(37)-1754(2.0)-4000(37)-4107(29)-1753(1.0)]TJ 0 -10.958 Td [(38)-4107(38)-1754(2.0)-4000(38)-4107(30)-1753(1.0)]TJ 0 -10.959 Td [(39)-4107(39)-1754(2.0)-4000(39)-4107(31)-1753(1.0)]TJ 0 -10.959 Td [(40)-4107(40)-1754(2.0)-4000(40)-4107(32)-1753(1.0)]TJ
 0 g 0 G
 0 g 0 G
-/F57 9.9626 Tf 94.641 -105.903 Td [(61)]TJ
+/F54 9.9626 Tf 94.641 -105.903 Td [(61)]TJ
 0 g 0 G
 ET
 
@@ -14376,22 +14376,22 @@ stream
 0 g 0 G
 0 g 0 G
 BT
-/F54 11.9552 Tf 150.705 706.129 Td [(5.2)-1000(psb)]TJ
+/F51 11.9552 Tf 150.705 706.129 Td [(5.2)-1000(psb)]TJ
 ET
 q
 1 0 0 1 198.238 706.328 cm
 []0 d 0 J 0.398 w 0 0 m 3.587 0 l S
 Q
 BT
-/F54 11.9552 Tf 201.825 706.129 Td [(ovrl)-250(\227)-250(Overlap)-250(Update)]TJ/F57 9.9626 Tf -51.12 -18.964 Td [(These)-250(subr)18(outines)-250(applies)-250(an)-250(overlap)-250(operator)-250(to)-250(the)-250(input)-250(vector:)]TJ/F55 9.9626 Tf 154.518 -23.824 Td [(x)]TJ/F86 10.3811 Tf 8.097 0 Td [(\040)]TJ/F55 9.9626 Tf 13.497 0 Td [(Q)-42(x)]TJ/F57 9.9626 Tf -176.112 -21.014 Td [(wher)18(e:)]TJ
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 0 g 0 G
-/F55 9.9626 Tf 0.294 -19.203 Td [(x)]TJ
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 0 g 0 G
-/F57 9.9626 Tf 10.186 0 Td [(is)-250(the)-250(global)-250(dense)-250(submatrix)]TJ/F55 9.9626 Tf 131.351 0 Td [(x)]TJ
+/F54 9.9626 Tf 10.186 0 Td [(is)-250(the)-250(global)-250(dense)-250(submatrix)]TJ/F52 9.9626 Tf 131.351 0 Td [(x)]TJ
 0 g 0 G
  -141.607 -19.564 Td [(Q)]TJ
 0 g 0 G
-/F57 9.9626 Tf 12.857 0 Td [(is)-250(the)-250(overlap)-250(operator;)-250(it)-250(is)-250(the)-250(composition)-250(of)-250(two)-250(operators)]TJ/F55 9.9626 Tf 271.931 0 Td [(P)]TJ/F55 7.5716 Tf 5.424 -1.494 Td [(a)]TJ/F57 9.9626 Tf 6.445 1.494 Td [(and)]TJ/F55 9.9626 Tf 19.681 0 Td [(P)]TJ/F55 7.5716 Tf 6.405 3.616 Td [(T)]TJ/F57 9.9626 Tf 5.401 -3.616 Td [(.)]TJ
+/F54 9.9626 Tf 12.857 0 Td [(is)-250(the)-250(overlap)-250(operator;)-250(it)-250(is)-250(the)-250(composition)-250(of)-250(two)-250(operators)]TJ/F52 9.9626 Tf 271.931 0 Td [(P)]TJ/F52 7.5716 Tf 5.424 -1.494 Td [(a)]TJ/F54 9.9626 Tf 6.445 1.494 Td [(and)]TJ/F52 9.9626 Tf 19.681 0 Td [(P)]TJ/F52 7.5716 Tf 6.405 3.616 Td [(T)]TJ/F54 9.9626 Tf 5.401 -3.616 Td [(.)]TJ
 0 g 0 G
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@@ -14401,42 +14401,42 @@ q
 []0 d 0 J 0.398 w 0 0 m 184.337 0 l S
 Q
 BT
-/F55 9.9626 Tf 236.663 573.142 Td [(x)]TJ/F54 9.9626 Tf 120.622 0 Td [(Subroutine)]TJ
+/F52 9.9626 Tf 236.663 573.142 Td [(x)]TJ/F51 9.9626 Tf 120.622 0 Td [(Subroutine)]TJ
 ET
 q
 1 0 0 1 230.392 569.356 cm
 []0 d 0 J 0.398 w 0 0 m 184.337 0 l S
 Q
 BT
-/F57 9.9626 Tf 236.369 560.788 Td [(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ
+/F54 9.9626 Tf 236.369 560.788 Td [(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ
 ET
 q
 1 0 0 1 373.603 560.988 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F57 9.9626 Tf 376.592 560.788 Td [(ovrl)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ
+/F54 9.9626 Tf 376.592 560.788 Td [(ovrl)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ
 ET
 q
 1 0 0 1 373.603 549.032 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F57 9.9626 Tf 376.592 548.833 Td [(ovrl)]TJ -140.223 -11.955 Td [(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ
+/F54 9.9626 Tf 376.592 548.833 Td [(ovrl)]TJ -140.223 -11.955 Td [(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ
 ET
 q
 1 0 0 1 373.603 537.077 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F57 9.9626 Tf 376.592 536.878 Td [(ovrl)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ
+/F54 9.9626 Tf 376.592 536.878 Td [(ovrl)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ
 ET
 q
 1 0 0 1 373.603 525.122 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F57 9.9626 Tf 376.592 524.923 Td [(ovrl)]TJ
+/F54 9.9626 Tf 376.592 524.923 Td [(ovrl)]TJ
 ET
 q
 1 0 0 1 230.392 521.137 cm
@@ -14444,11 +14444,11 @@ q
 Q
 0 g 0 G
 BT
-/F57 9.9626 Tf 278.277 492.758 Td [(T)92(able)-250(18:)-310(Data)-250(types)]TJ
+/F54 9.9626 Tf 278.277 492.758 Td [(T)92(able)-250(18:)-310(Data)-250(types)]TJ
 0 g 0 G
 0 g 0 G
 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG
-/F62 9.9626 Tf -127.572 -23.549 Td [(call)]TJ
+/F59 9.9626 Tf -127.572 -23.549 Td [(call)]TJ
 0 g 0 G
  [-525(psb_ovrl\050x,)-525(desc_a,)-525(info\051)]TJ
 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG
@@ -14464,87 +14464,87 @@ BT
 0 g 0 G
  [(work\051)]TJ
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+/F51 9.9626 Tf 0 -21.014 Td [(T)90(ype:)]TJ
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-/F57 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ
+/F54 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ
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 0 g 0 G
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  0 -19.564 Td [(x)]TJ
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 0 0 1 rg 0 0 1 RG
-/F62 9.9626 Tf 244.742 0 Td [(psb)]TJ
+/F59 9.9626 Tf 244.742 0 Td [(psb)]TJ
 ET
 q
 1 0 0 1 436.673 349.49 cm
 []0 d 0 J 0.398 w 0 0 m 3.138 0 l S
 Q
 BT
-/F62 9.9626 Tf 439.811 349.291 Td [(T)]TJ
+/F59 9.9626 Tf 439.811 349.291 Td [(T)]TJ
 ET
 q
 1 0 0 1 445.669 349.49 cm
 []0 d 0 J 0.398 w 0 0 m 3.138 0 l S
 Q
 BT
-/F62 9.9626 Tf 448.807 349.291 Td [(vect)]TJ
+/F59 9.9626 Tf 448.807 349.291 Td [(vect)]TJ
 ET
 q
 1 0 0 1 470.356 349.49 cm
 []0 d 0 J 0.398 w 0 0 m 3.138 0 l S
 Q
 BT
-/F62 9.9626 Tf 473.495 349.291 Td [(type)]TJ
+/F59 9.9626 Tf 473.495 349.291 Td [(type)]TJ
 0 g 0 G
-/F57 9.9626 Tf -297.884 -11.955 Td [(containing)-250(numbers)-250(of)-250(type)-250(speci\002ed)-250(in)-250(T)92(able)]TJ
+/F54 9.9626 Tf -297.884 -11.955 Td [(containing)-250(numbers)-250(of)-250(type)-250(speci\002ed)-250(in)-250(T)92(able)]TJ
 0 0 1 rg 0 0 1 RG
  [-250(18)]TJ
 0 g 0 G
  [(.)]TJ
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-/F54 9.9626 Tf -24.906 -19.564 Td [(desc)]TJ
+/F51 9.9626 Tf -24.906 -19.564 Td [(desc)]TJ
 ET
 q
 1 0 0 1 171.218 317.971 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F54 9.9626 Tf 174.207 317.772 Td [(a)]TJ
+/F51 9.9626 Tf 174.207 317.772 Td [(a)]TJ
 0 g 0 G
-/F57 9.9626 Tf 9.962 0 Td [(contains)-250(data)-250(str)8(uctur)18(es)-250(for)-250(communications.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.089 0 Td [(required)]TJ/F57 9.9626 Tf -27.089 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(in)]TJ/F57 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ
+/F54 9.9626 Tf 9.962 0 Td [(contains)-250(data)-250(str)8(uctur)18(es)-250(for)-250(communications.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(required)]TJ/F54 9.9626 Tf -27.089 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(in)]TJ/F54 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ
 0 0 1 rg 0 0 1 RG
-/F62 9.9626 Tf 168.138 0 Td [(psb)]TJ
+/F59 9.9626 Tf 168.138 0 Td [(psb)]TJ
 ET
 q
 1 0 0 1 360.068 270.151 cm
 []0 d 0 J 0.398 w 0 0 m 3.138 0 l S
 Q
 BT
-/F62 9.9626 Tf 363.206 269.951 Td [(desc)]TJ
+/F59 9.9626 Tf 363.206 269.951 Td [(desc)]TJ
 ET
 q
 1 0 0 1 384.755 270.151 cm
 []0 d 0 J 0.398 w 0 0 m 3.138 0 l S
 Q
 BT
-/F62 9.9626 Tf 387.893 269.951 Td [(type)]TJ
+/F59 9.9626 Tf 387.893 269.951 Td [(type)]TJ
 0 g 0 G
-/F57 9.9626 Tf 20.922 0 Td [(.)]TJ
+/F54 9.9626 Tf 20.922 0 Td [(.)]TJ
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 0 g 0 G
 BT
-/F57 7.9701 Tf 265.805 653.177 Td [(Pr)18(ocess)-250(0)-8396(Pr)18(ocess)-250(1)]TJ -31.163 -9.464 Td [(I)-1500(GLOB\050I\051)-1500(X\050I\051)-5163(I)-1500(GLOB\050I\051)-1500(X\050I\051)]TJ -1.299 -9.465 Td [(1)-4774(1)-1920(1.0)-5000(1)-4274(33)-1920(1.5)]TJ 0 -9.464 Td [(2)-4774(2)-1920(1.0)-5000(2)-4274(34)-1920(1.5)]TJ 0 -9.465 Td [(3)-4774(3)-1920(1.0)-5000(3)-4274(35)-1920(1.5)]TJ 0 -9.464 Td [(4)-4774(4)-1920(1.0)-5000(4)-4274(36)-1920(1.5)]TJ 0 -9.465 Td [(5)-4774(5)-1920(1.0)-5000(5)-4274(37)-1920(1.5)]TJ 0 -9.464 Td [(6)-4774(6)-1920(1.0)-5000(6)-4274(38)-1920(1.5)]TJ 0 -9.465 Td [(7)-4774(7)-1920(1.0)-5000(7)-4274(39)-1920(1.5)]TJ 0 -9.464 Td [(8)-4774(8)-1920(1.0)-5000(8)-4274(40)-1920(1.5)]TJ 0 -9.465 Td [(9)-4774(9)-1920(1.0)-5000(9)-4274(41)-1920(2.0)]TJ -3.985 -9.464 Td [(10)-4274(10)-1920(1.0)-4500(10)-4274(42)-1920(2.0)]TJ 0 -9.465 Td [(11)-4274(11)-1920(1.0)-4500(11)-4274(43)-1920(2.0)]TJ 0 -9.464 Td [(12)-4274(12)-1920(1.0)-4500(12)-4274(44)-1920(2.0)]TJ 0 -9.465 Td [(13)-4274(13)-1920(1.0)-4500(13)-4274(45)-1920(2.0)]TJ 0 -9.464 Td [(14)-4274(14)-1920(1.0)-4500(14)-4274(46)-1920(2.0)]TJ 0 -9.465 Td [(15)-4274(15)-1920(1.0)-4500(15)-4274(47)-1920(2.0)]TJ 0 -9.464 Td [(16)-4274(16)-1920(1.0)-4500(16)-4274(48)-1920(2.0)]TJ 0 -9.465 Td [(17)-4274(17)-1920(1.0)-4500(17)-4274(49)-1920(2.0)]TJ 0 -9.464 Td [(18)-4274(18)-1920(1.0)-4500(18)-4274(50)-1920(2.0)]TJ 0 -9.465 Td [(19)-4274(19)-1920(1.0)-4500(19)-4274(51)-1920(2.0)]TJ 0 -9.464 Td [(20)-4274(20)-1920(1.0)-4500(20)-4274(52)-1920(2.0)]TJ 0 -9.465 Td [(21)-4274(21)-1920(1.0)-4500(21)-4274(53)-1920(2.0)]TJ 0 -9.464 Td [(22)-4274(22)-1920(1.0)-4500(22)-4274(54)-1920(2.0)]TJ 0 -9.465 Td [(23)-4274(23)-1920(1.0)-4500(23)-4274(55)-1920(2.0)]TJ 0 -9.464 Td [(24)-4274(24)-1920(1.0)-4500(24)-4274(56)-1920(2.0)]TJ 0 -9.465 Td [(25)-4274(25)-1920(1.5)-4500(25)-4274(57)-1920(2.0)]TJ 0 -9.464 Td [(26)-4274(26)-1920(1.5)-4500(26)-4274(58)-1920(2.0)]TJ 0 -9.465 Td [(27)-4274(27)-1920(1.5)-4500(27)-4274(59)-1920(2.0)]TJ 0 -9.464 Td [(28)-4274(28)-1920(1.5)-4500(28)-4274(60)-1920(2.0)]TJ 0 -9.465 Td [(29)-4274(29)-1920(1.5)-4500(29)-4274(61)-1920(2.0)]TJ 0 -9.464 Td [(30)-4274(30)-1920(1.5)-4500(30)-4274(62)-1920(2.0)]TJ 0 -9.465 Td [(31)-4274(31)-1920(1.5)-4500(31)-4274(63)-1920(2.0)]TJ 0 -9.464 Td [(32)-4274(32)-1920(1.5)-4500(32)-4274(64)-1920(2.0)]TJ 0 -9.465 Td [(33)-4274(33)-1920(1.5)-4500(33)-4274(25)-1920(1.5)]TJ 0 -9.464 Td [(34)-4274(34)-1920(1.5)-4500(34)-4274(26)-1920(1.5)]TJ 0 -9.465 Td [(35)-4274(35)-1920(1.5)-4500(35)-4274(27)-1920(1.5)]TJ 0 -9.464 Td [(36)-4274(36)-1920(1.5)-4500(36)-4274(28)-1920(1.5)]TJ 0 -9.465 Td [(37)-4274(37)-1920(1.5)-4500(37)-4274(29)-1920(1.5)]TJ 0 -9.464 Td [(38)-4274(38)-1920(1.5)-4500(38)-4274(30)-1920(1.5)]TJ 0 -9.465 Td [(39)-4274(39)-1920(1.5)-4500(39)-4274(31)-1920(1.5)]TJ 0 -9.464 Td [(40)-4274(40)-1920(1.5)-4500(40)-4274(32)-1920(1.5)]TJ 0 -9.465 Td [(41)-4274(41)-1920(2.0)-4500(41)-4274(17)-1920(1.0)]TJ 0 -9.464 Td [(42)-4274(42)-1920(2.0)-4500(42)-4274(18)-1920(1.0)]TJ 0 -9.465 Td [(43)-4274(43)-1920(2.0)-4500(43)-4274(19)-1920(1.0)]TJ 0 -9.464 Td [(44)-4274(44)-1920(2.0)-4500(44)-4274(20)-1920(1.0)]TJ 0 -9.465 Td [(45)-4274(45)-1920(2.0)-4500(45)-4274(21)-1920(1.0)]TJ 0 -9.464 Td [(46)-4274(46)-1920(2.0)-4500(46)-4274(22)-1920(1.0)]TJ 0 -9.465 Td [(47)-4274(47)-1920(2.0)-4500(47)-4274(23)-1920(1.0)]TJ 0 -9.464 Td [(48)-4274(48)-1920(2.0)-4500(48)-4274(24)-1920(1.0)]TJ
+/F54 7.9701 Tf 265.805 653.177 Td [(Pr)18(ocess)-250(0)-8396(Pr)18(ocess)-250(1)]TJ -31.163 -9.464 Td [(I)-1500(GLOB\050I\051)-1500(X\050I\051)-5163(I)-1500(GLOB\050I\051)-1500(X\050I\051)]TJ -1.299 -9.465 Td [(1)-4774(1)-1920(1.0)-5000(1)-4274(33)-1920(1.5)]TJ 0 -9.464 Td [(2)-4774(2)-1920(1.0)-5000(2)-4274(34)-1920(1.5)]TJ 0 -9.465 Td [(3)-4774(3)-1920(1.0)-5000(3)-4274(35)-1920(1.5)]TJ 0 -9.464 Td [(4)-4774(4)-1920(1.0)-5000(4)-4274(36)-1920(1.5)]TJ 0 -9.465 Td [(5)-4774(5)-1920(1.0)-5000(5)-4274(37)-1920(1.5)]TJ 0 -9.464 Td [(6)-4774(6)-1920(1.0)-5000(6)-4274(38)-1920(1.5)]TJ 0 -9.465 Td [(7)-4774(7)-1920(1.0)-5000(7)-4274(39)-1920(1.5)]TJ 0 -9.464 Td [(8)-4774(8)-1920(1.0)-5000(8)-4274(40)-1920(1.5)]TJ 0 -9.465 Td [(9)-4774(9)-1920(1.0)-5000(9)-4274(41)-1920(2.0)]TJ -3.985 -9.464 Td [(10)-4274(10)-1920(1.0)-4500(10)-4274(42)-1920(2.0)]TJ 0 -9.465 Td [(11)-4274(11)-1920(1.0)-4500(11)-4274(43)-1920(2.0)]TJ 0 -9.464 Td [(12)-4274(12)-1920(1.0)-4500(12)-4274(44)-1920(2.0)]TJ 0 -9.465 Td [(13)-4274(13)-1920(1.0)-4500(13)-4274(45)-1920(2.0)]TJ 0 -9.464 Td [(14)-4274(14)-1920(1.0)-4500(14)-4274(46)-1920(2.0)]TJ 0 -9.465 Td [(15)-4274(15)-1920(1.0)-4500(15)-4274(47)-1920(2.0)]TJ 0 -9.464 Td [(16)-4274(16)-1920(1.0)-4500(16)-4274(48)-1920(2.0)]TJ 0 -9.465 Td [(17)-4274(17)-1920(1.0)-4500(17)-4274(49)-1920(2.0)]TJ 0 -9.464 Td [(18)-4274(18)-1920(1.0)-4500(18)-4274(50)-1920(2.0)]TJ 0 -9.465 Td [(19)-4274(19)-1920(1.0)-4500(19)-4274(51)-1920(2.0)]TJ 0 -9.464 Td [(20)-4274(20)-1920(1.0)-4500(20)-4274(52)-1920(2.0)]TJ 0 -9.465 Td [(21)-4274(21)-1920(1.0)-4500(21)-4274(53)-1920(2.0)]TJ 0 -9.464 Td [(22)-4274(22)-1920(1.0)-4500(22)-4274(54)-1920(2.0)]TJ 0 -9.465 Td [(23)-4274(23)-1920(1.0)-4500(23)-4274(55)-1920(2.0)]TJ 0 -9.464 Td [(24)-4274(24)-1920(1.0)-4500(24)-4274(56)-1920(2.0)]TJ 0 -9.465 Td [(25)-4274(25)-1920(1.5)-4500(25)-4274(57)-1920(2.0)]TJ 0 -9.464 Td [(26)-4274(26)-1920(1.5)-4500(26)-4274(58)-1920(2.0)]TJ 0 -9.465 Td [(27)-4274(27)-1920(1.5)-4500(27)-4274(59)-1920(2.0)]TJ 0 -9.464 Td [(28)-4274(28)-1920(1.5)-4500(28)-4274(60)-1920(2.0)]TJ 0 -9.465 Td [(29)-4274(29)-1920(1.5)-4500(29)-4274(61)-1920(2.0)]TJ 0 -9.464 Td [(30)-4274(30)-1920(1.5)-4500(30)-4274(62)-1920(2.0)]TJ 0 -9.465 Td [(31)-4274(31)-1920(1.5)-4500(31)-4274(63)-1920(2.0)]TJ 0 -9.464 Td [(32)-4274(32)-1920(1.5)-4500(32)-4274(64)-1920(2.0)]TJ 0 -9.465 Td [(33)-4274(33)-1920(1.5)-4500(33)-4274(25)-1920(1.5)]TJ 0 -9.464 Td [(34)-4274(34)-1920(1.5)-4500(34)-4274(26)-1920(1.5)]TJ 0 -9.465 Td [(35)-4274(35)-1920(1.5)-4500(35)-4274(27)-1920(1.5)]TJ 0 -9.464 Td [(36)-4274(36)-1920(1.5)-4500(36)-4274(28)-1920(1.5)]TJ 0 -9.465 Td [(37)-4274(37)-1920(1.5)-4500(37)-4274(29)-1920(1.5)]TJ 0 -9.464 Td [(38)-4274(38)-1920(1.5)-4500(38)-4274(30)-1920(1.5)]TJ 0 -9.465 Td [(39)-4274(39)-1920(1.5)-4500(39)-4274(31)-1920(1.5)]TJ 0 -9.464 Td [(40)-4274(40)-1920(1.5)-4500(40)-4274(32)-1920(1.5)]TJ 0 -9.465 Td [(41)-4274(41)-1920(2.0)-4500(41)-4274(17)-1920(1.0)]TJ 0 -9.464 Td [(42)-4274(42)-1920(2.0)-4500(42)-4274(18)-1920(1.0)]TJ 0 -9.465 Td [(43)-4274(43)-1920(2.0)-4500(43)-4274(19)-1920(1.0)]TJ 0 -9.464 Td [(44)-4274(44)-1920(2.0)-4500(44)-4274(20)-1920(1.0)]TJ 0 -9.465 Td [(45)-4274(45)-1920(2.0)-4500(45)-4274(21)-1920(1.0)]TJ 0 -9.464 Td [(46)-4274(46)-1920(2.0)-4500(46)-4274(22)-1920(1.0)]TJ 0 -9.465 Td [(47)-4274(47)-1920(2.0)-4500(47)-4274(23)-1920(1.0)]TJ 0 -9.464 Td [(48)-4274(48)-1920(2.0)-4500(48)-4274(24)-1920(1.0)]TJ
 0 g 0 G
 0 g 0 G
-/F57 9.9626 Tf 88.221 -98.979 Td [(64)]TJ
+/F54 9.9626 Tf 88.221 -98.979 Td [(64)]TJ
 0 g 0 G
 ET
 
@@ -14710,7 +14710,7 @@ Q
 0 g 0 G
 1 0 0 1 -104.053 -292.88 cm
 BT
-/F57 9.9626 Tf 189.276 261 Td [(Figur)18(e)-250(4:)-310(Sample)-250(discr)18(etization)-250(mesh.)]TJ
+/F54 9.9626 Tf 189.276 261 Td [(Figur)18(e)-250(4:)-310(Sample)-250(discr)18(etization)-250(mesh.)]TJ
 0 g 0 G
 0 g 0 G
 0 g 0 G
@@ -14887,61 +14887,61 @@ stream
 0 g 0 G
 0 g 0 G
 BT
-/F54 11.9552 Tf 150.705 706.129 Td [(5.3)-1000(psb)]TJ
+/F51 11.9552 Tf 150.705 706.129 Td [(5.3)-1000(psb)]TJ
 ET
 q
 1 0 0 1 198.238 706.328 cm
 []0 d 0 J 0.398 w 0 0 m 3.587 0 l S
 Q
 BT
-/F54 11.9552 Tf 201.825 706.129 Td [(gather)-250(\227)-250(Gather)-250(Global)-250(Dense)-250(Matrix)]TJ/F57 9.9626 Tf -51.12 -19.441 Td [(These)-280(subr)18(outines)-280(collect)-280(the)-280(portions)-280(of)-280(g)1(lobal)-280(dense)-280(matrix)-280(distributed)-280(over)]TJ 0 -11.955 Td [(all)-250(pr)18(ocess)-250(into)-250(one)-250(single)-250(array)-250(stor)18(ed)-250(on)-250(one)-250(pr)18(ocess.)]TJ/F55 9.9626 Tf 120.161 -25.465 Td [(g)-25(l)-55(o)-35(b)]TJ
+/F51 11.9552 Tf 201.825 706.129 Td [(gather)-250(\227)-250(Gather)-250(Global)-250(Dense)-250(Matrix)]TJ/F54 9.9626 Tf -51.12 -19.441 Td [(These)-280(subr)18(outines)-280(collect)-280(the)-280(portions)-280(of)-280(g)1(lobal)-280(dense)-280(matrix)-280(distributed)-280(over)]TJ 0 -11.955 Td [(all)-250(pr)18(ocess)-250(into)-250(one)-250(single)-250(array)-250(stor)18(ed)-250(on)-250(one)-250(pr)18(ocess.)]TJ/F52 9.9626 Tf 120.161 -25.465 Td [(g)-25(l)-55(o)-35(b)]TJ
 ET
 q
 1 0 0 1 289.521 649.467 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F55 9.9626 Tf 292.803 649.268 Td [(x)]TJ/F86 10.3811 Tf 8.097 0 Td [(\040)]TJ/F55 9.9626 Tf 13.398 0 Td [(c)-25(o)-35(l)-55(l)-55(e)-25(c)-25(t)]TJ/F88 10.3811 Tf 27.705 0 Td [(\050)]TJ/F55 9.9626 Tf 4.274 0 Td [(l)-55(o)-35(c)]TJ
+/F52 9.9626 Tf 292.803 649.268 Td [(x)]TJ/F83 10.3811 Tf 8.097 0 Td [(\040)]TJ/F52 9.9626 Tf 13.398 0 Td [(c)-25(o)-35(l)-55(l)-55(e)-25(c)-25(t)]TJ/F85 10.3811 Tf 27.705 0 Td [(\050)]TJ/F52 9.9626 Tf 4.274 0 Td [(l)-55(o)-35(c)]TJ
 ET
 q
 1 0 0 1 359.144 649.467 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F55 9.9626 Tf 362.427 649.268 Td [(x)]TJ/F55 7.5716 Tf 5.147 -1.96 Td [(i)]TJ/F88 10.3811 Tf 2.875 1.96 Td [(\051)]TJ/F57 9.9626 Tf -219.744 -22.41 Td [(wher)18(e:)]TJ
+/F52 9.9626 Tf 362.427 649.268 Td [(x)]TJ/F52 7.5716 Tf 5.147 -1.96 Td [(i)]TJ/F85 10.3811 Tf 2.875 1.96 Td [(\051)]TJ/F54 9.9626 Tf -219.744 -22.41 Td [(wher)18(e:)]TJ
 0 g 0 G
-/F55 9.9626 Tf 0.344 -20.664 Td [(g)-25(l)-55(o)-35(b)]TJ
+/F52 9.9626 Tf 0.344 -20.664 Td [(g)-25(l)-55(o)-35(b)]TJ
 ET
 q
 1 0 0 1 169.703 606.393 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F55 9.9626 Tf 172.986 606.194 Td [(x)]TJ
+/F52 9.9626 Tf 172.986 606.194 Td [(x)]TJ
 0 g 0 G
-/F57 9.9626 Tf 10.187 0 Td [(is)-250(the)-250(global)-250(submatrix)]TJ/F55 9.9626 Tf 103.256 0 Td [(g)-25(l)-55(o)-35(b)]TJ
+/F54 9.9626 Tf 10.187 0 Td [(is)-250(the)-250(global)-250(submatrix)]TJ/F52 9.9626 Tf 103.256 0 Td [(g)-25(l)-55(o)-35(b)]TJ
 ET
 q
 1 0 0 1 305.084 606.393 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F55 9.9626 Tf 308.366 606.194 Td [(x)]TJ/F57 7.5716 Tf 5.106 -1.858 Td [(1)-13(:)]TJ/F55 7.5716 Tf 5.963 0 Td [(m)]TJ/F57 7.5716 Tf 5.985 0 Td [(,1)-13(:)]TJ/F55 7.5716 Tf 7.856 0 Td [(n)]TJ
+/F52 9.9626 Tf 308.366 606.194 Td [(x)]TJ/F54 7.5716 Tf 5.106 -1.858 Td [(1)-13(:)]TJ/F52 7.5716 Tf 5.963 0 Td [(m)]TJ/F54 7.5716 Tf 5.985 0 Td [(,1)-13(:)]TJ/F52 7.5716 Tf 7.856 0 Td [(n)]TJ
 0 g 0 G
-/F55 9.9626 Tf -182.447 -19.051 Td [(l)-55(o)-35(c)]TJ
+/F52 9.9626 Tf -182.447 -19.051 Td [(l)-55(o)-35(c)]TJ
 ET
 q
 1 0 0 1 163.696 585.484 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F55 9.9626 Tf 166.979 585.285 Td [(x)]TJ/F55 7.5716 Tf 5.147 -1.96 Td [(i)]TJ
+/F52 9.9626 Tf 166.979 585.285 Td [(x)]TJ/F52 7.5716 Tf 5.147 -1.96 Td [(i)]TJ
 0 g 0 G
-/F57 9.9626 Tf 7.732 1.96 Td [(is)-250(the)-250(local)-250(portion)-250(of)-250(global)-250(dense)-250(matrix)-250(on)-250(pr)18(ocess)]TJ/F55 9.9626 Tf 234.034 0 Td [(i)]TJ/F57 9.9626 Tf 2.964 0 Td [(.)]TJ
+/F54 9.9626 Tf 7.732 1.96 Td [(is)-250(the)-250(local)-250(portion)-250(of)-250(global)-250(dense)-250(matrix)-250(on)-250(pr)18(ocess)]TJ/F52 9.9626 Tf 234.034 0 Td [(i)]TJ/F54 9.9626 Tf 2.964 0 Td [(.)]TJ
 0 g 0 G
-/F55 9.9626 Tf -266.027 -20.91 Td [(c)-25(o)-35(l)-55(l)-55(e)-25(c)-25(t)]TJ
+/F52 9.9626 Tf -266.027 -20.91 Td [(c)-25(o)-35(l)-55(l)-55(e)-25(c)-25(t)]TJ
 0 g 0 G
-/F57 9.9626 Tf 32.563 0 Td [(is)-250(the)-250(collect)-250(function.)]TJ
+/F54 9.9626 Tf 32.563 0 Td [(is)-250(the)-250(collect)-250(function.)]TJ
 0 g 0 G
 0 g 0 G
 0 g 0 G
@@ -14951,49 +14951,49 @@ q
 []0 d 0 J 0.398 w 0 0 m 184.337 0 l S
 Q
 BT
-/F55 9.9626 Tf 236.663 534.539 Td [(x)]TJ/F55 7.5716 Tf 5.148 -1.96 Td [(i)]TJ/F57 9.9626 Tf 2.75 1.96 Td [(,)]TJ/F55 9.9626 Tf 4.276 0 Td [(y)]TJ/F54 9.9626 Tf 108.448 0 Td [(Subroutine)]TJ
+/F52 9.9626 Tf 236.663 534.539 Td [(x)]TJ/F52 7.5716 Tf 5.148 -1.96 Td [(i)]TJ/F54 9.9626 Tf 2.75 1.96 Td [(,)]TJ/F52 9.9626 Tf 4.276 0 Td [(y)]TJ/F51 9.9626 Tf 108.448 0 Td [(Subroutine)]TJ
 ET
 q
 1 0 0 1 230.392 530.753 cm
 []0 d 0 J 0.398 w 0 0 m 184.337 0 l S
 Q
 BT
-/F57 9.9626 Tf 236.369 522.185 Td [(Integer)-8983(psb)]TJ
+/F54 9.9626 Tf 236.369 522.185 Td [(Integer)-8983(psb)]TJ
 ET
 q
 1 0 0 1 373.603 522.385 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F57 9.9626 Tf 376.592 522.185 Td [(gather)]TJ -140.223 -11.955 Td [(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ
+/F54 9.9626 Tf 376.592 522.185 Td [(gather)]TJ -140.223 -11.955 Td [(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ
 ET
 q
 1 0 0 1 373.603 510.429 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F57 9.9626 Tf 376.592 510.23 Td [(gather)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ
+/F54 9.9626 Tf 376.592 510.23 Td [(gather)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ
 ET
 q
 1 0 0 1 373.603 498.474 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F57 9.9626 Tf 376.592 498.275 Td [(gather)]TJ -140.223 -11.955 Td [(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ
+/F54 9.9626 Tf 376.592 498.275 Td [(gather)]TJ -140.223 -11.955 Td [(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ
 ET
 q
 1 0 0 1 373.603 486.519 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F57 9.9626 Tf 376.592 486.32 Td [(gather)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ
+/F54 9.9626 Tf 376.592 486.32 Td [(gather)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ
 ET
 q
 1 0 0 1 373.603 474.564 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F57 9.9626 Tf 376.592 474.365 Td [(gather)]TJ
+/F54 9.9626 Tf 376.592 474.365 Td [(gather)]TJ
 ET
 q
 1 0 0 1 230.392 470.579 cm
@@ -15001,11 +15001,11 @@ q
 Q
 0 g 0 G
 BT
-/F57 9.9626 Tf 278.277 442.2 Td [(T)92(able)-250(19:)-310(Data)-250(types)]TJ
+/F54 9.9626 Tf 278.277 442.2 Td [(T)92(able)-250(19:)-310(Data)-250(types)]TJ
 0 g 0 G
 0 g 0 G
 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG
-/F62 9.9626 Tf -127.572 -27.052 Td [(call)]TJ
+/F59 9.9626 Tf -127.572 -27.052 Td [(call)]TJ
 0 g 0 G
  [-525(psb_gather\050glob_x,)-525(loc_x,)-525(desc_a,)-525(info,)-525(root\051)]TJ
 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG
@@ -15013,11 +15013,11 @@ BT
 0 g 0 G
  [-525(psb_gather\050glob_x,)-525(loc_x,)-525(desc_a,)-525(info,)-525(root\051)]TJ
 0 g 0 G
-/F54 9.9626 Tf 0 -22.902 Td [(T)90(ype:)]TJ
+/F51 9.9626 Tf 0 -22.902 Td [(T)90(ype:)]TJ
 0 g 0 G
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-/F54 9.9626 Tf -24.907 -22.127 Td [(On)-250(Return)]TJ
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  0 -20.135 Td [(desc)]TJ
@@ -16245,44 +16245,44 @@ q
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 Q
 BT
-/F54 9.9626 Tf 123.397 376.313 Td [(a)]TJ
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 0 0 1 rg 0 0 1 RG
-/F62 9.9626 Tf 168.138 0 Td [(psb)]TJ
+/F59 9.9626 Tf 168.138 0 Td [(psb)]TJ
 ET
 q
 1 0 0 1 309.258 328.692 cm
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 Q
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-/F62 9.9626 Tf 312.397 328.492 Td [(desc)]TJ
+/F59 9.9626 Tf 312.397 328.492 Td [(desc)]TJ
 ET
 q
 1 0 0 1 333.945 328.692 cm
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 Q
 BT
-/F62 9.9626 Tf 337.084 328.492 Td [(type)]TJ
+/F59 9.9626 Tf 337.084 328.492 Td [(type)]TJ
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-/F57 9.9626 Tf 20.921 0 Td [(.)]TJ
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-/F57 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(out)]TJ/F57 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ/F54 11.9552 Tf -24.907 -22.128 Td [(Notes)]TJ
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 ET
 
@@ -16296,58 +16296,58 @@ stream
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-/F54 9.9626 Tf 0 -15.594 Td [(glob)]TJ
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 ET
 q
 1 0 0 1 218.61 637.283 cm
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 Q
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-/F54 9.9626 Tf 0 -15.594 Td [(nv)]TJ
+/F51 9.9626 Tf 0 -15.594 Td [(nv)]TJ
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-/F57 9.9626 Tf 16.608 0 Td [(The)-250(number)-250(of)-250(entries)-250(in)]TJ/F62 9.9626 Tf 111.052 0 Td [(pv)]TJ/F57 9.9626 Tf 10.461 0 Td [(;)]TJ
+/F54 9.9626 Tf 16.608 0 Td [(The)-250(number)-250(of)-250(entries)-250(in)]TJ/F59 9.9626 Tf 111.052 0 Td [(pv)]TJ/F54 9.9626 Tf 10.461 0 Td [(;)]TJ
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-/F54 9.9626 Tf -138.121 -13.774 Td [(pv)]TJ
+/F51 9.9626 Tf -138.121 -13.774 Td [(pv)]TJ
 0 g 0 G
-/F57 9.9626 Tf 16.608 0 Td [(A)-393(vector)-394(containing)-393(the)-394(indices)-393(of)-394(the)-394(pr)18(ocesses)-393(to)-394(which)-393(the)]TJ 2.022 -11.955 Td [(global)-357(index)-357(should)-356(be)-357(assigend;)-410(each)-357(entry)-357(must)-357(satisfy)-357(0)]TJ/F86 10.3811 Tf 270.063 0 Td [(\024)]TJ/F55 9.9626 Tf -269.39 -11.956 Td [(p)-25(v)]TJ/F88 10.3811 Tf 10.461 0 Td [(\050)]TJ/F55 9.9626 Tf 4.204 0 Td [(i)]TJ/F88 10.3811 Tf 3.088 0 Td [(\051)]TJ/F64 10.3811 Tf 8.665 0 Td [(<)]TJ/F55 9.9626 Tf 12.71 0 Td [(n)-80(p)]TJ/F57 9.9626 Tf 11.442 0 Td [(;)-382(if)]TJ/F55 9.9626 Tf 16.006 0 Td [(n)-25(v)]TJ/F64 10.3811 Tf 15.409 0 Td [(>)]TJ/F57 9.9626 Tf 12.586 0 Td [(1)-338(we)-338(have)-338(an)-338(index)-338(assigned)-338(to)-338(multiple)]TJ -95.244 -11.955 Td [(pr)18(ocesses,)-250(i.e.)-310(we)-250(have)-250(an)-250(overlap)-250(among)-250(the)-250(subdomains.)]TJ
+/F54 9.9626 Tf 16.608 0 Td [(A)-393(vector)-394(containing)-393(the)-394(indices)-393(of)-394(the)-394(pr)18(ocesses)-393(to)-394(which)-393(the)]TJ 2.022 -11.955 Td [(global)-357(index)-357(should)-356(be)-357(assigend;)-410(each)-357(entry)-357(must)-357(satisfy)-357(0)]TJ/F83 10.3811 Tf 270.063 0 Td [(\024)]TJ/F52 9.9626 Tf -269.39 -11.956 Td [(p)-25(v)]TJ/F85 10.3811 Tf 10.461 0 Td [(\050)]TJ/F52 9.9626 Tf 4.204 0 Td [(i)]TJ/F85 10.3811 Tf 3.088 0 Td [(\051)]TJ/F61 10.3811 Tf 8.665 0 Td [(<)]TJ/F52 9.9626 Tf 12.71 0 Td [(n)-80(p)]TJ/F54 9.9626 Tf 11.442 0 Td [(;)-382(if)]TJ/F52 9.9626 Tf 16.006 0 Td [(n)-25(v)]TJ/F61 10.3811 Tf 15.409 0 Td [(>)]TJ/F54 9.9626 Tf 12.586 0 Td [(1)-338(we)-338(have)-338(an)-338(index)-338(assigned)-338(to)-338(multiple)]TJ -95.244 -11.955 Td [(pr)18(ocesses,)-250(i.e.)-310(we)-250(have)-250(an)-250(overlap)-250(among)-250(the)-250(subdomains.)]TJ
 0 g 0 G
-/F54 9.9626 Tf -40.548 -15.594 Td [(vg)]TJ
+/F51 9.9626 Tf -40.548 -15.594 Td [(vg)]TJ
 0 g 0 G
-/F57 9.9626 Tf 16.06 0 Td [(In)-330(this)-330(case)-330(the)-330(association)-330(between)-331(an)-330(index)-330(and)-330(a)-330(pr)18(ocess)-330(is)-330(spec-)]TJ 5.858 -11.955 Td [(i\002ed)-371(via)-372(an)-371(integer)-372(vector)]TJ/F62 9.9626 Tf 120.986 0 Td [(vg\0501:mg\051)]TJ/F57 9.9626 Tf 41.842 0 Td [(;)-432(each)-372(index)]TJ/F55 9.9626 Tf 58.923 0 Td [(i)]TJ/F86 10.3811 Tf 8.096 0 Td [(2)-506(f)]TJ/F57 9.9626 Tf 17.485 0 Td [(1)-179(.)-192(.)-192(.)]TJ/F55 9.9626 Tf 19.967 0 Td [(m)-47(g)]TJ/F86 10.3811 Tf 13.449 0 Td [(g)]TJ/F57 9.9626 Tf 9.016 0 Td [(is)]TJ -289.764 -11.955 Td [(assigned)-381(to)-381(pr)18(ocess)]TJ/F55 9.9626 Tf 91.547 0 Td [(v)-47(g)]TJ/F88 10.3811 Tf 10.68 0 Td [(\050)]TJ/F55 9.9626 Tf 4.204 0 Td [(i)]TJ/F88 10.3811 Tf 3.089 0 Td [(\051)]TJ/F57 9.9626 Tf 4.149 0 Td [(.)-703(The)-380(vector)]TJ/F62 9.9626 Tf 61.203 0 Td [(vg)]TJ/F57 9.9626 Tf 14.255 0 Td [(must)-381(be)-381(identical)-381(on)-380(all)]TJ -189.127 -11.955 Td [(calling)-354(pr)18(ocesses;)-406(its)-355(entri)1(es)-355(may)-354(have)-354(the)-354(ranges)]TJ/F88 10.3811 Tf 226.209 0 Td [(\050)]TJ/F57 9.9626 Tf 4.149 0 Td [(0)-179(.)-192(.)-191(.)]TJ/F55 9.9626 Tf 19.967 0 Td [(n)-80(p)]TJ/F86 10.3811 Tf 13.888 0 Td [(\000)]TJ/F57 9.9626 Tf 10.515 0 Td [(1)]TJ/F88 10.3811 Tf 5.106 0 Td [(\051)]TJ/F57 9.9626 Tf 7.678 0 Td [(or)]TJ/F88 10.3811 Tf -287.387 -11.955 Td [(\050)]TJ/F57 9.9626 Tf 4.149 0 Td [(1)-179(.)-192(.)-191(.)]TJ/F55 9.9626 Tf 19.967 0 Td [(n)-80(p)]TJ/F88 10.3811 Tf 11.566 0 Td [(\051)]TJ/F57 9.9626 Tf 6.984 0 Td [(accor)18(ding)-284(to)-285(the)-284(value)-285(of)]TJ/F62 9.9626 Tf 113.068 0 Td [(flag)]TJ/F57 9.9626 Tf 20.922 0 Td [(.)-413(The)-285(size)]TJ/F55 9.9626 Tf 45.955 0 Td [(m)-47(g)]TJ/F57 9.9626 Tf 16.159 0 Td [(may)-285(be)-284(spec-)]TJ -238.895 -11.955 Td [(i\002ed)-349(via)-349(the)-349(optional)-349(ar)18(gument)]TJ/F62 9.9626 Tf 144.092 0 Td [(mg)]TJ/F57 9.9626 Tf 10.46 0 Td [(;)-399(the)-349(default)-349(is)-349(to)-349(use)-349(the)-349(entir)18(e)]TJ -154.552 -11.956 Td [(vector)]TJ/F62 9.9626 Tf 29.937 0 Td [(vg)]TJ/F57 9.9626 Tf 10.461 0 Td [(,)-250(thus)-250(having)]TJ/F62 9.9626 Tf 59.885 0 Td [(mg=size\050vg\051)]TJ/F57 9.9626 Tf 57.534 0 Td [(.)]TJ
+/F54 9.9626 Tf 16.06 0 Td [(In)-330(this)-330(case)-330(the)-330(association)-330(between)-331(an)-330(index)-330(and)-330(a)-330(pr)18(ocess)-330(is)-330(spec-)]TJ 5.858 -11.955 Td [(i\002ed)-371(via)-372(an)-371(integer)-372(vector)]TJ/F59 9.9626 Tf 120.986 0 Td [(vg\0501:mg\051)]TJ/F54 9.9626 Tf 41.842 0 Td [(;)-432(each)-372(index)]TJ/F52 9.9626 Tf 58.923 0 Td [(i)]TJ/F83 10.3811 Tf 8.096 0 Td [(2)-506(f)]TJ/F54 9.9626 Tf 17.485 0 Td [(1)-179(.)-192(.)-192(.)]TJ/F52 9.9626 Tf 19.967 0 Td [(m)-47(g)]TJ/F83 10.3811 Tf 13.449 0 Td [(g)]TJ/F54 9.9626 Tf 9.016 0 Td [(is)]TJ -289.764 -11.955 Td [(assigned)-381(to)-381(pr)18(ocess)]TJ/F52 9.9626 Tf 91.547 0 Td [(v)-47(g)]TJ/F85 10.3811 Tf 10.68 0 Td [(\050)]TJ/F52 9.9626 Tf 4.204 0 Td [(i)]TJ/F85 10.3811 Tf 3.089 0 Td [(\051)]TJ/F54 9.9626 Tf 4.149 0 Td [(.)-703(The)-380(vector)]TJ/F59 9.9626 Tf 61.203 0 Td [(vg)]TJ/F54 9.9626 Tf 14.255 0 Td [(must)-381(be)-381(identical)-381(on)-380(all)]TJ -189.127 -11.955 Td [(calling)-354(pr)18(ocesses;)-406(its)-355(entri)1(es)-355(may)-354(have)-354(the)-354(ranges)]TJ/F85 10.3811 Tf 226.209 0 Td [(\050)]TJ/F54 9.9626 Tf 4.149 0 Td [(0)-179(.)-192(.)-191(.)]TJ/F52 9.9626 Tf 19.967 0 Td [(n)-80(p)]TJ/F83 10.3811 Tf 13.888 0 Td [(\000)]TJ/F54 9.9626 Tf 10.515 0 Td [(1)]TJ/F85 10.3811 Tf 5.106 0 Td [(\051)]TJ/F54 9.9626 Tf 7.678 0 Td [(or)]TJ/F85 10.3811 Tf -287.387 -11.955 Td [(\050)]TJ/F54 9.9626 Tf 4.149 0 Td [(1)-179(.)-192(.)-191(.)]TJ/F52 9.9626 Tf 19.967 0 Td [(n)-80(p)]TJ/F85 10.3811 Tf 11.566 0 Td [(\051)]TJ/F54 9.9626 Tf 6.984 0 Td [(accor)18(ding)-284(to)-285(the)-284(value)-285(of)]TJ/F59 9.9626 Tf 113.068 0 Td [(flag)]TJ/F54 9.9626 Tf 20.922 0 Td [(.)-413(The)-285(size)]TJ/F52 9.9626 Tf 45.955 0 Td [(m)-47(g)]TJ/F54 9.9626 Tf 16.159 0 Td [(may)-285(be)-284(spec-)]TJ -238.895 -11.955 Td [(i\002ed)-349(via)-349(the)-349(optional)-349(ar)18(gument)]TJ/F59 9.9626 Tf 144.092 0 Td [(mg)]TJ/F54 9.9626 Tf 10.46 0 Td [(;)-399(the)-349(default)-349(is)-349(to)-349(use)-349(the)-349(entir)18(e)]TJ -154.552 -11.956 Td [(vector)]TJ/F59 9.9626 Tf 29.937 0 Td [(vg)]TJ/F54 9.9626 Tf 10.461 0 Td [(,)-250(thus)-250(having)]TJ/F59 9.9626 Tf 59.885 0 Td [(mg=size\050vg\051)]TJ/F54 9.9626 Tf 57.534 0 Td [(.)]TJ
 0 g 0 G
-/F54 9.9626 Tf -179.735 -15.593 Td [(vl)]TJ
+/F51 9.9626 Tf -179.735 -15.593 Td [(vl)]TJ
 0 g 0 G
-/F57 9.9626 Tf 13.838 0 Td [(In)-383(this)-382(case)-383(we)-383(ar)18(e)-382(specifying)-383(the)-383(list)-382(of)-383(indices)]TJ/F62 9.9626 Tf 220.787 0 Td [(vl\0501:nl\051)]TJ/F57 9.9626 Tf 45.655 0 Td [(assigned)]TJ -258.362 -11.955 Td [(to)-401(the)-400(curr)18(ent)-401(pr)18(ocess;)-476(thus,)-438(the)-400(global)-401(pr)18(oblem)-400(size)]TJ/F55 9.9626 Tf 243.82 0 Td [(m)-47(g)]TJ/F57 9.9626 Tf 17.316 0 Td [(is)-401(given)]TJ -261.136 -11.956 Td [(by)-435(the)-435(range)-435(of)-435(the)-435(aggr)18(egate)-435(of)-435(the)-435(individual)-435(vectors)]TJ/F62 9.9626 Tf 259.368 0 Td [(vl)]TJ/F57 9.9626 Tf 14.794 0 Td [(spec-)]TJ -274.162 -11.955 Td [(i\002ed)-429(in)-429(the)-429(calling)-428(pr)18(ocesses.)-847(The)-429(size)-429(may)-429(be)-428(speci\002ed)-429(via)-429(the)]TJ 0 -11.955 Td [(optional)-438(ar)18(gument)]TJ/F62 9.9626 Tf 88.319 0 Td [(nl)]TJ/F57 9.9626 Tf 10.46 0 Td [(;)-532(the)-438(default)-438(is)-438(to)-438(use)-438(the)-438(entir)18(e)-438(vector)]TJ/F62 9.9626 Tf 185.156 0 Td [(vl)]TJ/F57 9.9626 Tf 10.461 0 Td [(,)]TJ -294.396 -11.955 Td [(thus)-364(having)]TJ/F62 9.9626 Tf 57.178 0 Td [(nl=size\050vl\051)]TJ/F57 9.9626 Tf 57.534 0 Td [(.)-652(If)]TJ/F62 9.9626 Tf 19.294 0 Td [(globalcheck=.true.)]TJ/F57 9.9626 Tf 97.774 0 Td [(the)-364(subr)18(outine)]TJ -231.78 -11.955 Td [(will)-403(check)-403(how)-404(many)-403(times)-403(each)-403(entry)-403(in)-404(the)-403(global)-403(index)-403(space)]TJ/F88 10.3811 Tf 0.125 -11.955 Td [(\050)]TJ/F57 9.9626 Tf 4.149 0 Td [(1)-179(.)-192(.)-191(.)]TJ/F55 9.9626 Tf 19.967 0 Td [(m)-47(g)]TJ/F88 10.3811 Tf 13.449 0 Td [(\051)]TJ/F57 9.9626 Tf 6.245 0 Td [(is)-210(speci\002ed)-211(in)-210(the)-210(input)-210(lists)]TJ/F62 9.9626 Tf 122.836 0 Td [(vl)]TJ/F57 9.9626 Tf 10.461 0 Td [(,)-218(thus)-211(allowin)1(g)-211(for)-210(the)-210(pr)18(es-)]TJ -177.232 -11.956 Td [(ence)-302(of)-302(overlap)-302(in)-302(the)-302(input,)-315(and)-302(checki)1(ng)-302(for)-302(\223orphan\224)-302(indices.)-466(If)]TJ/F62 9.9626 Tf 0 -11.955 Td [(globalcheck=.false.)]TJ/F57 9.9626 Tf 99.377 0 Td [(,)-437(the)-400(subr)18(outine)-400(will)-400(not)-400(check)-400(for)-400(overlap,)]TJ -99.377 -11.955 Td [(and)-255(may)-255(be)-255(signi\002cantly)-255(faster)74(,)-257(but)-255(the)-255(user)-255(is)-255(implicitly)-255(guarantee-)]TJ 0 -11.955 Td [(ing)-250(that)-250(ther)18(e)-250(ar)18(e)-250(neither)-250(orphan)-250(nor)-250(overlap)-250(indices.)]TJ
+/F54 9.9626 Tf 13.838 0 Td [(In)-383(this)-382(case)-383(we)-383(ar)18(e)-382(specifying)-383(the)-383(list)-382(of)-383(indices)]TJ/F59 9.9626 Tf 220.787 0 Td [(vl\0501:nl\051)]TJ/F54 9.9626 Tf 45.655 0 Td [(assigned)]TJ -258.362 -11.955 Td [(to)-401(the)-400(curr)18(ent)-401(pr)18(ocess;)-476(thus,)-438(the)-400(global)-401(pr)18(oblem)-400(size)]TJ/F52 9.9626 Tf 243.82 0 Td [(m)-47(g)]TJ/F54 9.9626 Tf 17.316 0 Td [(is)-401(given)]TJ -261.136 -11.956 Td [(by)-435(the)-435(range)-435(of)-435(the)-435(aggr)18(egate)-435(of)-435(the)-435(individual)-435(vectors)]TJ/F59 9.9626 Tf 259.368 0 Td [(vl)]TJ/F54 9.9626 Tf 14.794 0 Td [(spec-)]TJ -274.162 -11.955 Td [(i\002ed)-429(in)-429(the)-429(calling)-428(pr)18(ocesses.)-847(The)-429(size)-429(may)-429(be)-428(speci\002ed)-429(via)-429(the)]TJ 0 -11.955 Td [(optional)-438(ar)18(gument)]TJ/F59 9.9626 Tf 88.319 0 Td [(nl)]TJ/F54 9.9626 Tf 10.46 0 Td [(;)-532(the)-438(default)-438(is)-438(to)-438(use)-438(the)-438(entir)18(e)-438(vector)]TJ/F59 9.9626 Tf 185.156 0 Td [(vl)]TJ/F54 9.9626 Tf 10.461 0 Td [(,)]TJ -294.396 -11.955 Td [(thus)-364(having)]TJ/F59 9.9626 Tf 57.178 0 Td [(nl=size\050vl\051)]TJ/F54 9.9626 Tf 57.534 0 Td [(.)-652(If)]TJ/F59 9.9626 Tf 19.294 0 Td [(globalcheck=.true.)]TJ/F54 9.9626 Tf 97.774 0 Td [(the)-364(subr)18(outine)]TJ -231.78 -11.955 Td [(will)-403(check)-403(how)-404(many)-403(times)-403(each)-403(entry)-403(in)-404(the)-403(global)-403(index)-403(space)]TJ/F85 10.3811 Tf 0.125 -11.955 Td [(\050)]TJ/F54 9.9626 Tf 4.149 0 Td [(1)-179(.)-192(.)-191(.)]TJ/F52 9.9626 Tf 19.967 0 Td [(m)-47(g)]TJ/F85 10.3811 Tf 13.449 0 Td [(\051)]TJ/F54 9.9626 Tf 6.245 0 Td [(is)-210(speci\002ed)-211(in)-210(the)-210(input)-210(lists)]TJ/F59 9.9626 Tf 122.836 0 Td [(vl)]TJ/F54 9.9626 Tf 10.461 0 Td [(,)-218(thus)-211(allowin)1(g)-211(for)-210(the)-210(pr)18(es-)]TJ -177.232 -11.956 Td [(ence)-302(of)-302(overlap)-302(in)-302(the)-302(input,)-315(and)-302(checki)1(ng)-302(for)-302(\223orphan\224)-302(indices.)-466(If)]TJ/F59 9.9626 Tf 0 -11.955 Td [(globalcheck=.false.)]TJ/F54 9.9626 Tf 99.377 0 Td [(,)-437(the)-400(subr)18(outine)-400(will)-400(not)-400(check)-400(for)-400(overlap,)]TJ -99.377 -11.955 Td [(and)-255(may)-255(be)-255(signi\002cantly)-255(faster)74(,)-257(but)-255(the)-255(user)-255(is)-255(implicitly)-255(guarantee-)]TJ 0 -11.955 Td [(ing)-250(that)-250(ther)18(e)-250(ar)18(e)-250(neither)-250(orphan)-250(nor)-250(overlap)-250(indices.)]TJ
 0 g 0 G
-/F54 9.9626 Tf -21.918 -15.594 Td [(lidx)]TJ
+/F51 9.9626 Tf -21.918 -15.594 Td [(lidx)]TJ
 0 g 0 G
-/F57 9.9626 Tf 22.685 0 Td [(The)-377(optional)-376(ar)18(gument)]TJ/F62 9.9626 Tf 107.528 0 Td [(lidx)]TJ/F57 9.9626 Tf 24.674 0 Td [(is)-377(available)-376(for)-377(those)-377(cases)-377(in)-376(which)]TJ -132.969 -11.955 Td [(the)-361(user)-361(has)-361(alr)18(eady)-361(established)-361(a)-361(global-to-local)-361(mapping;)-416(if)-361(it)-361(is)]TJ 0 -11.955 Td [(speci\002ed,)-253(each)-253(index)-253(in)]TJ/F62 9.9626 Tf 105.128 0 Td [(vl\050i\051)]TJ/F57 9.9626 Tf 28.669 0 Td [(will)-253(be)-252(mapped)-253(to)-253(the)-252(corr)18(esponding)]TJ -133.797 -11.955 Td [(local)-317(index)]TJ/F62 9.9626 Tf 51.649 0 Td [(lidx\050i\051)]TJ/F57 9.9626 Tf 36.612 0 Td [(.)-510(When)-317(specifying)-316(the)-317(ar)18(gument)]TJ/F62 9.9626 Tf 148.638 0 Td [(lidx)]TJ/F57 9.9626 Tf 24.076 0 Td [(the)-317(user)]TJ -260.975 -11.956 Td [(would)-329(also)-330(likely)-329(employ)]TJ/F62 9.9626 Tf 117.394 0 Td [(lidx)]TJ/F57 9.9626 Tf 24.203 0 Td [(in)-329(calls)-330(to)]TJ/F62 9.9626 Tf 46.656 0 Td [(psb_cdins)]TJ/F57 9.9626 Tf 50.355 0 Td [(and)]TJ/F62 9.9626 Tf 20.148 0 Td [(local)]TJ/F57 9.9626 Tf 29.433 0 Td [(in)]TJ -288.189 -11.955 Td [(calls)-250(to)]TJ/F62 9.9626 Tf 33.095 0 Td [(psb_spins)]TJ/F57 9.9626 Tf 49.564 0 Td [(and)]TJ/F62 9.9626 Tf 19.358 0 Td [(psb_geins)]TJ/F57 9.9626 Tf 47.073 0 Td [(;)-250(see)-250(also)-250(sec.)]TJ
+/F54 9.9626 Tf 22.685 0 Td [(The)-377(optional)-376(ar)18(gument)]TJ/F59 9.9626 Tf 107.528 0 Td [(lidx)]TJ/F54 9.9626 Tf 24.674 0 Td [(is)-377(available)-376(for)-377(those)-377(cases)-377(in)-376(which)]TJ -132.969 -11.955 Td [(the)-361(user)-361(has)-361(alr)18(eady)-361(established)-361(a)-361(global-to-local)-361(mapping;)-416(if)-361(it)-361(is)]TJ 0 -11.955 Td [(speci\002ed,)-253(each)-253(index)-253(in)]TJ/F59 9.9626 Tf 105.128 0 Td [(vl\050i\051)]TJ/F54 9.9626 Tf 28.669 0 Td [(will)-253(be)-252(mapped)-253(to)-253(the)-252(corr)18(esponding)]TJ -133.797 -11.955 Td [(local)-317(index)]TJ/F59 9.9626 Tf 51.649 0 Td [(lidx\050i\051)]TJ/F54 9.9626 Tf 36.612 0 Td [(.)-510(When)-317(specifying)-316(the)-317(ar)18(gument)]TJ/F59 9.9626 Tf 148.638 0 Td [(lidx)]TJ/F54 9.9626 Tf 24.076 0 Td [(the)-317(user)]TJ -260.975 -11.956 Td [(would)-329(also)-330(likely)-329(employ)]TJ/F59 9.9626 Tf 117.394 0 Td [(lidx)]TJ/F54 9.9626 Tf 24.203 0 Td [(in)-329(calls)-330(to)]TJ/F59 9.9626 Tf 46.656 0 Td [(psb_cdins)]TJ/F54 9.9626 Tf 50.355 0 Td [(and)]TJ/F59 9.9626 Tf 20.148 0 Td [(local)]TJ/F54 9.9626 Tf 29.433 0 Td [(in)]TJ -288.189 -11.955 Td [(calls)-250(to)]TJ/F59 9.9626 Tf 33.095 0 Td [(psb_spins)]TJ/F54 9.9626 Tf 49.564 0 Td [(and)]TJ/F59 9.9626 Tf 19.358 0 Td [(psb_geins)]TJ/F54 9.9626 Tf 47.073 0 Td [(;)-250(see)-250(also)-250(sec.)]TJ
 0 0 1 rg 0 0 1 RG
  [-250(2.3.1)]TJ
 0 g 0 G
  [(.)]TJ
 0 g 0 G
-/F54 9.9626 Tf -171.008 -15.593 Td [(nl)]TJ
+/F51 9.9626 Tf -171.008 -15.593 Td [(nl)]TJ
 0 g 0 G
-/F57 9.9626 Tf 14.386 0 Td [(If)-411(this)-411(ar)18(gument)-411(is)-411(speci\002ed)-411(alone)-411(\050i.e.)-793(without)]TJ/F62 9.9626 Tf 223.432 0 Td [(vl)]TJ/F57 9.9626 Tf 10.461 0 Td [(\051)-411(the)-411(r)18(esult)-411(is)-411(a)]TJ -226.361 -11.956 Td [(generalized)-280(r)18(ow-block)-280(distribution)-280(in)-280(which)-281(each)-280(pr)18(ocess)]TJ/F55 9.9626 Tf 257.148 0 Td [(I)]TJ/F57 9.9626 Tf 6.642 0 Td [(gets)-280(as-)]TJ -263.79 -11.955 Td [(signed)-250(a)-250(consecutive)-250(chunk)-250(of)]TJ/F55 9.9626 Tf 135.186 0 Td [(N)]TJ/F55 7.5716 Tf 7.851 -1.808 Td [(I)]TJ/F88 10.3811 Tf 6.316 1.808 Td [(=)]TJ/F55 9.9626 Tf 11.086 0 Td [(n)-25(l)]TJ/F57 9.9626 Tf 11.472 0 Td [(global)-250(indices.)]TJ
+/F54 9.9626 Tf 14.386 0 Td [(If)-411(this)-411(ar)18(gument)-411(is)-411(speci\002ed)-411(alone)-411(\050i.e.)-793(without)]TJ/F59 9.9626 Tf 223.432 0 Td [(vl)]TJ/F54 9.9626 Tf 10.461 0 Td [(\051)-411(the)-411(r)18(esult)-411(is)-411(a)]TJ -226.361 -11.956 Td [(generalized)-280(r)18(ow-block)-280(distribution)-280(in)-280(which)-281(each)-280(pr)18(ocess)]TJ/F52 9.9626 Tf 257.148 0 Td [(I)]TJ/F54 9.9626 Tf 6.642 0 Td [(gets)-280(as-)]TJ -263.79 -11.955 Td [(signed)-250(a)-250(consecutive)-250(chunk)-250(of)]TJ/F52 9.9626 Tf 135.186 0 Td [(N)]TJ/F52 7.5716 Tf 7.851 -1.808 Td [(I)]TJ/F85 10.3811 Tf 6.316 1.808 Td [(=)]TJ/F52 9.9626 Tf 11.086 0 Td [(n)-25(l)]TJ/F54 9.9626 Tf 11.472 0 Td [(global)-250(indices.)]TJ
 0 g 0 G
-/F54 9.9626 Tf -193.829 -15.593 Td [(repl)]TJ
+/F51 9.9626 Tf -193.829 -15.593 Td [(repl)]TJ
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-/F57 9.9626 Tf 23.243 0 Td [(This)-418(ar)18(guments)-417(speci\002es)-418(to)-417(r)18(eplicate)-418(all)-417(indices)-418(on)-418(all)-417(pr)18(ocesses.)]TJ -1.325 -11.956 Td [(This)-366(is)-367(a)-366(special)-366(purpose)-366(data)-367(allocation)-366(that)-366(is)-366(useful)-367(in)-366(the)-366(con-)]TJ 0 -11.955 Td [(str)8(uction)-250(of)-250(some)-250(multilevel)-250(pr)18(econditioners.)]TJ
+/F54 9.9626 Tf 23.243 0 Td [(This)-418(ar)18(guments)-417(speci\002es)-418(to)-417(r)18(eplicate)-418(all)-417(indices)-418(on)-418(all)-417(pr)18(ocesses.)]TJ -1.325 -11.956 Td [(This)-366(is)-367(a)-366(special)-366(purpose)-366(data)-367(allocation)-366(that)-366(is)-366(useful)-367(in)-366(the)-366(con-)]TJ 0 -11.955 Td [(str)8(uction)-250(of)-250(some)-250(multilevel)-250(pr)18(econditioners.)]TJ
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  -34.371 -19.579 Td [(2.)]TJ
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@@ -16368,25 +16368,25 @@ stream
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 BT
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+/F54 9.9626 Tf 112.349 706.129 Td [(3.)]TJ
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- [-500(Calling)-260(the)-260(r)18(outine)-260(with)]TJ/F62 9.9626 Tf 120.886 0 Td [(vg)]TJ/F57 9.9626 Tf 13.052 0 Td [(or)]TJ/F62 9.9626 Tf 11.965 0 Td [(parts)]TJ/F57 9.9626 Tf 28.742 0 Td [(implies)-260(that)-260(every)-260(pr)18(ocess)-260(will)-260(scan)]TJ -162.192 -11.955 Td [(the)-250(entir)18(e)-250(index)-250(space)-250(to)-250(\002gur)18(e)-250(out)-250(the)-250(local)-250(indices.)]TJ
+ [-500(Calling)-260(the)-260(r)18(outine)-260(with)]TJ/F59 9.9626 Tf 120.886 0 Td [(vg)]TJ/F54 9.9626 Tf 13.052 0 Td [(or)]TJ/F59 9.9626 Tf 11.965 0 Td [(parts)]TJ/F54 9.9626 Tf 28.742 0 Td [(implies)-260(that)-260(every)-260(pr)18(ocess)-260(will)-260(scan)]TJ -162.192 -11.955 Td [(the)-250(entir)18(e)-250(index)-250(space)-250(to)-250(\002gur)18(e)-250(out)-250(the)-250(local)-250(indices.)]TJ
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- [-500(Overlapped)-250(indices)-250(ar)18(e)-250(possible)-250(with)-250(both)]TJ/F62 9.9626 Tf 201.093 0 Td [(parts)]TJ/F57 9.9626 Tf 28.643 0 Td [(and)]TJ/F62 9.9626 Tf 19.357 0 Td [(vl)]TJ/F57 9.9626 Tf 12.951 0 Td [(invocations.)]TJ
+ [-500(Overlapped)-250(indices)-250(ar)18(e)-250(possible)-250(with)-250(both)]TJ/F59 9.9626 Tf 201.093 0 Td [(parts)]TJ/F54 9.9626 Tf 28.643 0 Td [(and)]TJ/F59 9.9626 Tf 19.357 0 Td [(vl)]TJ/F54 9.9626 Tf 12.951 0 Td [(invocations.)]TJ
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- [-500(When)-190(the)-190(subr)18(outine)-190(is)-190(invoked)-190(with)]TJ/F62 9.9626 Tf 175.161 0 Td [(vl)]TJ/F57 9.9626 Tf 12.354 0 Td [(in)-190(conjunction)-190(with)]TJ/F62 9.9626 Tf 86.235 0 Td [(globalcheck=.true.)]TJ/F57 9.9626 Tf 94.146 0 Td [(,)]TJ -355.443 -11.955 Td [(it)-280(will)-281(perform)-280(a)-280(scan)-281(of)-280(the)-281(index)-280(space)-280(to)-281(sear)18(ch)-280(for)-280(overlap)-281(or)-280(orphan)]TJ 0 -11.955 Td [(indices.)]TJ
+ [-500(When)-190(the)-190(subr)18(outine)-190(is)-190(invoked)-190(with)]TJ/F59 9.9626 Tf 175.161 0 Td [(vl)]TJ/F54 9.9626 Tf 12.354 0 Td [(in)-190(conjunction)-190(with)]TJ/F59 9.9626 Tf 86.235 0 Td [(globalcheck=.true.)]TJ/F54 9.9626 Tf 94.146 0 Td [(,)]TJ -355.443 -11.955 Td [(it)-280(will)-281(perform)-280(a)-280(scan)-281(of)-280(the)-281(index)-280(space)-280(to)-281(sear)18(ch)-280(for)-280(overlap)-281(or)-280(orphan)]TJ 0 -11.955 Td [(indices.)]TJ
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- [-500(When)-190(the)-190(subr)18(outine)-190(is)-190(invoked)-190(with)]TJ/F62 9.9626 Tf 175.161 0 Td [(vl)]TJ/F57 9.9626 Tf 12.354 0 Td [(in)-190(conjunction)-190(with)]TJ/F62 9.9626 Tf 86.235 0 Td [(globalcheck=.false.)]TJ/F57 9.9626 Tf 99.377 0 Td [(,)]TJ -360.674 -11.956 Td [(no)-338(index)-337(space)-338(scan)-337(will)-338(take)-337(place.)-573(Thus)-337(it)-338(is)-338(the)-337(r)18(esponsibility)-338(of)-337(the)]TJ 0 -11.955 Td [(user)-328(to)-328(make)-328(sur)18(e)-328(that)-328(the)-328(indices)-328(speci\002ed)-328(in)]TJ/F62 9.9626 Tf 209.973 0 Td [(vl)]TJ/F57 9.9626 Tf 13.729 0 Td [(have)-328(neither)-328(orphans)]TJ -223.702 -11.955 Td [(nor)-250(overlaps;)-250(if)-250(this)-250(assumption)-250(fails,)-250(r)18(esults)-250(will)-250(be)-250(unpr)18(edictable.)]TJ
+ [-500(When)-190(the)-190(subr)18(outine)-190(is)-190(invoked)-190(with)]TJ/F59 9.9626 Tf 175.161 0 Td [(vl)]TJ/F54 9.9626 Tf 12.354 0 Td [(in)-190(conjunction)-190(with)]TJ/F59 9.9626 Tf 86.235 0 Td [(globalcheck=.false.)]TJ/F54 9.9626 Tf 99.377 0 Td [(,)]TJ -360.674 -11.956 Td [(no)-338(index)-337(space)-338(scan)-337(will)-338(take)-337(place.)-573(Thus)-337(it)-338(is)-338(the)-337(r)18(esponsibility)-338(of)-337(the)]TJ 0 -11.955 Td [(user)-328(to)-328(make)-328(sur)18(e)-328(that)-328(the)-328(indices)-328(speci\002ed)-328(in)]TJ/F59 9.9626 Tf 209.973 0 Td [(vl)]TJ/F54 9.9626 Tf 13.729 0 Td [(have)-328(neither)-328(orphans)]TJ -223.702 -11.955 Td [(nor)-250(overlaps;)-250(if)-250(this)-250(assumption)-250(fails,)-250(r)18(esults)-250(will)-250(be)-250(unpr)18(edictable.)]TJ
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+ [-500(Orphan)-417(and)-416(overlap)-417(indices)-416(ar)18(e)-417(impossible)-416(by)-417(constr)8(uction)-417(when)-416(the)]TJ 12.453 -11.955 Td [(subr)18(outine)-250(is)-250(invoked)-250(with)]TJ/F59 9.9626 Tf 121.164 0 Td [(nl)]TJ/F54 9.9626 Tf 12.951 0 Td [(\050alone\051,)-250(or)]TJ/F59 9.9626 Tf 47.372 0 Td [(vg)]TJ/F54 9.9626 Tf 10.461 0 Td [(.)]TJ
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@@ -16402,46 +16402,46 @@ stream
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 BT
-/F54 11.9552 Tf 150.705 706.129 Td [(6.2)-1000(psb)]TJ
+/F51 11.9552 Tf 150.705 706.129 Td [(6.2)-1000(psb)]TJ
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 1 0 0 1 198.238 706.328 cm
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 Q
 BT
-/F54 11.9552 Tf 201.825 706.129 Td [(cdins)-250(\227)-250(Communication)-250(descriptor)-250(insert)-250(routine)]TJ
+/F51 11.9552 Tf 201.825 706.129 Td [(cdins)-250(\227)-250(Communication)-250(descriptor)-250(insert)-250(routine)]TJ
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+/F54 9.9626 Tf 16.05 0 Td [(the)-250(number)-250(of)-250(points)-250(being)-250(inserted.)]TJ 8.857 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.431 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -53.01 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf 39.292 0 Td [(.)]TJ -66.38 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(value.)]TJ
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+/F54 9.9626 Tf 13.28 0 Td [(the)-250(indices)-250(of)-250(the)-250(end)-250(vertex)-250(of)-250(the)-250(edges)-250(being)-250(inserted.)]TJ 11.627 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.431 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -53.01 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf 39.292 0 Td [(.)]TJ -66.38 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(array)-250(of)-250(length)]TJ/F52 9.9626 Tf 171.978 0 Td [(n)-25(z)]TJ/F54 9.9626 Tf 10.336 0 Td [(.)]TJ
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-/F54 9.9626 Tf -207.221 -19.304 Td [(mask)]TJ
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+/F54 9.9626 Tf 29.33 0 Td [(Mask)-247(entries)-248(in)]TJ/F59 9.9626 Tf 69.91 0 Td [(ja)]TJ/F54 9.9626 Tf 10.461 0 Td [(,)-248(they)-247(ar)18(e)-248(inserted)-247(only)-248(when)-247(the)-247(corr)18(esponding)]TJ/F59 9.9626 Tf 213.089 0 Td [(mask)]TJ/F54 9.9626 Tf -297.883 -11.956 Td [(entries)-250(ar)18(e)]TJ/F59 9.9626 Tf 48.139 0 Td [(.true.)]TJ/F54 9.9626 Tf -48.139 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf 21.578 0 Td [(.)]TJ -53.01 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(optional)]TJ/F54 9.9626 Tf 38.186 0 Td [(.)]TJ -65.274 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(logical)-250(array)-250(of)-250(length)]TJ/F52 9.9626 Tf 164.297 0 Td [(n)-25(z)]TJ/F54 9.9626 Tf 10.336 0 Td [(,)-250(default)]TJ/F59 9.9626 Tf 38.784 0 Td [(.true.)]TJ/F54 9.9626 Tf 31.382 0 Td [(.)]TJ
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-/F54 9.9626 Tf -269.706 -19.305 Td [(lidx)]TJ
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-/F57 9.9626 Tf 22.685 0 Td [(User)-250(de\002ned)-250(local)-250(indices)-250(for)]TJ/F62 9.9626 Tf 131.117 0 Td [(ja)]TJ/F57 9.9626 Tf 10.46 0 Td [(.)]TJ -139.355 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf 21.578 0 Td [(.)]TJ -53.01 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(optional)]TJ/F57 9.9626 Tf 38.186 0 Td [(.)]TJ -65.274 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(array)-250(of)-250(length)]TJ/F55 9.9626 Tf 171.978 0 Td [(n)-25(z)]TJ/F57 9.9626 Tf 10.336 0 Td [(.)]TJ
+/F54 9.9626 Tf 22.685 0 Td [(User)-250(de\002ned)-250(local)-250(indices)-250(for)]TJ/F59 9.9626 Tf 131.117 0 Td [(ja)]TJ/F54 9.9626 Tf 10.46 0 Td [(.)]TJ -139.355 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf 21.578 0 Td [(.)]TJ -53.01 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(optional)]TJ/F54 9.9626 Tf 38.186 0 Td [(.)]TJ -65.274 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(array)-250(of)-250(length)]TJ/F52 9.9626 Tf 171.978 0 Td [(n)-25(z)]TJ/F54 9.9626 Tf 10.336 0 Td [(.)]TJ
 0 g 0 G
-/F54 9.9626 Tf -207.221 -20.366 Td [(On)-250(Return)]TJ
+/F51 9.9626 Tf -207.221 -20.366 Td [(On)-250(Return)]TJ
 0 g 0 G
 0 g 0 G
  0 -19.305 Td [(desc)]TJ
@@ -16451,27 +16451,27 @@ q
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 0 g 0 G
-/F57 9.9626 Tf 9.962 0 Td [(the)-250(updated)-250(communication)-250(descriptor)74(.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 28.344 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ -49.923 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 24 0 Td [(required)]TJ/F57 9.9626 Tf 39.293 0 Td [(.)]TJ -63.293 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(inout)]TJ/F57 9.9626 Tf 24.348 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ
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 0 0 1 rg 0 0 1 RG
-/F62 9.9626 Tf 168.138 0 Td [(psb)]TJ
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 ET
 q
 1 0 0 1 360.068 120.525 cm
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 Q
 BT
-/F62 9.9626 Tf 363.206 120.326 Td [(desc)]TJ
+/F59 9.9626 Tf 363.206 120.326 Td [(desc)]TJ
 ET
 q
 1 0 0 1 384.755 120.525 cm
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-/F62 9.9626 Tf 387.893 120.326 Td [(type)]TJ
+/F59 9.9626 Tf 387.893 120.326 Td [(type)]TJ
 0 g 0 G
-/F57 9.9626 Tf 20.922 0 Td [(.)]TJ
+/F54 9.9626 Tf 20.922 0 Td [(.)]TJ
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  -91.236 -29.888 Td [(74)]TJ
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@@ -16488,19 +16488,19 @@ stream
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 BT
-/F54 9.9626 Tf 99.895 706.129 Td [(info)]TJ
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-/F57 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(out)]TJ/F57 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ
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 0 g 0 G
-/F54 9.9626 Tf -24.907 -19.925 Td [(ila)]TJ
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-/F57 9.9626 Tf 16.598 0 Td [(the)-250(local)-250(indices)-250(of)-250(the)-250(starting)-250(vertex)-250(of)-250(the)-250(edges)-250(being)-250(inserted.)]TJ 8.309 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ -53.011 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(optional)]TJ/F57 9.9626 Tf 38.187 0 Td [(.)]TJ -65.275 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(out)]TJ/F57 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(array)-250(of)-250(length)]TJ/F55 9.9626 Tf 171.978 0 Td [(n)-25(z)]TJ/F57 9.9626 Tf 10.336 0 Td [(.)]TJ
+/F54 9.9626 Tf 16.598 0 Td [(the)-250(local)-250(indices)-250(of)-250(the)-250(starting)-250(vertex)-250(of)-250(the)-250(edges)-250(being)-250(inserted.)]TJ 8.309 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -53.011 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(optional)]TJ/F54 9.9626 Tf 38.187 0 Td [(.)]TJ -65.275 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(array)-250(of)-250(length)]TJ/F52 9.9626 Tf 171.978 0 Td [(n)-25(z)]TJ/F54 9.9626 Tf 10.336 0 Td [(.)]TJ
 0 g 0 G
-/F54 9.9626 Tf -207.221 -19.925 Td [(jla)]TJ
+/F51 9.9626 Tf -207.221 -19.925 Td [(jla)]TJ
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+/F54 9.9626 Tf 16.598 0 Td [(the)-250(local)-250(indices)-250(of)-250(the)-250(end)-250(vertex)-250(of)-250(the)-250(edges)-250(being)-250(inserted.)]TJ 8.309 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -53.011 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(optional)]TJ/F54 9.9626 Tf 38.187 0 Td [(.)]TJ -65.275 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(array)-250(of)-250(length)]TJ/F52 9.9626 Tf 171.978 0 Td [(n)-25(z)]TJ/F54 9.9626 Tf 10.336 0 Td [(.)]TJ/F51 11.9552 Tf -207.221 -21.918 Td [(Notes)]TJ
 0 g 0 G
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+/F54 9.9626 Tf 12.454 -19.925 Td [(1.)]TJ
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  [-500(This)-250(r)18(outine)-250(may)-250(only)-250(be)-250(called)-250(if)-250(the)-250(descriptor)-250(is)-250(in)-250(the)-250(build)-250(state;)]TJ
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@@ -16530,23 +16530,23 @@ stream
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 BT
-/F54 11.9552 Tf 150.705 706.129 Td [(6.3)-1000(psb)]TJ
+/F51 11.9552 Tf 150.705 706.129 Td [(6.3)-1000(psb)]TJ
 ET
 q
 1 0 0 1 198.238 706.328 cm
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 Q
 BT
-/F54 11.9552 Tf 201.825 706.129 Td [(cdasb)-250(\227)-250(Communication)-250(descriptor)-250(assembly)-250(routine)]TJ
+/F51 11.9552 Tf 201.825 706.129 Td [(cdasb)-250(\227)-250(Communication)-250(descriptor)-250(assembly)-250(routine)]TJ
 0 g 0 G
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-/F62 9.9626 Tf -51.12 -18.964 Td [(call)-525(psb_cdasb\050desc_a,)-525(info)-525([,)-525(mold]\051)]TJ
+/F59 9.9626 Tf -51.12 -18.964 Td [(call)-525(psb_cdasb\050desc_a,)-525(info)-525([,)-525(mold]\051)]TJ
 0 g 0 G
-/F54 9.9626 Tf 0 -21.918 Td [(T)90(ype:)]TJ
+/F51 9.9626 Tf 0 -21.918 Td [(T)90(ype:)]TJ
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-/F57 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ
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-/F54 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ
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@@ -16556,61 +16556,61 @@ q
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+/F51 9.9626 Tf 174.207 625.397 Td [(a)]TJ
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-/F57 9.9626 Tf 9.962 0 Td [(the)-250(communication)-250(descriptor)74(.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 28.344 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ -49.923 -11.956 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 24 0 Td [(required)]TJ/F57 9.9626 Tf 39.293 0 Td [(.)]TJ -63.293 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(inout)]TJ/F57 9.9626 Tf 24.348 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ
+/F54 9.9626 Tf 9.962 0 Td [(the)-250(communication)-250(descriptor)74(.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 28.344 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -49.923 -11.956 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 24 0 Td [(required)]TJ/F54 9.9626 Tf 39.293 0 Td [(.)]TJ -63.293 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(inout)]TJ/F54 9.9626 Tf 24.348 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ
 0 0 1 rg 0 0 1 RG
-/F62 9.9626 Tf 168.138 0 Td [(psb)]TJ
+/F59 9.9626 Tf 168.138 0 Td [(psb)]TJ
 ET
 q
 1 0 0 1 360.068 577.775 cm
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-/F62 9.9626 Tf 363.206 577.576 Td [(desc)]TJ
+/F59 9.9626 Tf 363.206 577.576 Td [(desc)]TJ
 ET
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 1 0 0 1 384.755 577.775 cm
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-/F62 9.9626 Tf 387.893 577.576 Td [(type)]TJ
+/F59 9.9626 Tf 387.893 577.576 Td [(type)]TJ
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-/F57 9.9626 Tf 20.922 0 Td [(.)]TJ
+/F54 9.9626 Tf 20.922 0 Td [(.)]TJ
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-/F54 9.9626 Tf -258.11 -19.925 Td [(mold)]TJ
+/F51 9.9626 Tf -258.11 -19.925 Td [(mold)]TJ
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-/F57 9.9626 Tf 28.782 0 Td [(The)-250(desir)18(ed)-250(dynamic)-250(type)-250(for)-250(the)-250(internal)-250(index)-250(storage.)]TJ -3.875 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.431 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ -53.011 -11.956 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.089 0 Td [(optional)]TJ/F57 9.9626 Tf 38.186 0 Td [(.)]TJ -65.275 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(in)]TJ/F57 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-190(as:)-280(a)-190(object)-190(of)-190(type)-190(derived)-190(fr)18(om)-190(\050integer\051)]TJ/F62 9.9626 Tf 221.926 0 Td [(psb)]TJ
+/F54 9.9626 Tf 28.782 0 Td [(The)-250(desir)18(ed)-250(dynamic)-250(type)-250(for)-250(the)-250(internal)-250(index)-250(storage.)]TJ -3.875 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.431 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -53.011 -11.956 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(optional)]TJ/F54 9.9626 Tf 38.186 0 Td [(.)]TJ -65.275 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(in)]TJ/F54 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-190(as:)-280(a)-190(object)-190(of)-190(type)-190(derived)-190(fr)18(om)-190(\050integer\051)]TJ/F59 9.9626 Tf 221.926 0 Td [(psb)]TJ
 ET
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 1 0 0 1 413.855 510.029 cm
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 Q
 BT
-/F62 9.9626 Tf 416.994 509.83 Td [(T)]TJ
+/F59 9.9626 Tf 416.994 509.83 Td [(T)]TJ
 ET
 q
 1 0 0 1 422.851 510.029 cm
 []0 d 0 J 0.398 w 0 0 m 3.138 0 l S
 Q
 BT
-/F62 9.9626 Tf 425.99 509.83 Td [(base)]TJ
+/F59 9.9626 Tf 425.99 509.83 Td [(base)]TJ
 ET
 q
 1 0 0 1 447.539 510.029 cm
 []0 d 0 J 0.398 w 0 0 m 3.138 0 l S
 Q
 BT
-/F62 9.9626 Tf 450.677 509.83 Td [(vect)]TJ
+/F59 9.9626 Tf 450.677 509.83 Td [(vect)]TJ
 ET
 q
 1 0 0 1 472.226 510.029 cm
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 Q
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-/F62 9.9626 Tf 475.364 509.83 Td [(type)]TJ/F57 9.9626 Tf 20.921 0 Td [(.)]TJ
+/F59 9.9626 Tf 475.364 509.83 Td [(type)]TJ/F54 9.9626 Tf 20.921 0 Td [(.)]TJ
 0 g 0 G
-/F54 9.9626 Tf -345.58 -21.918 Td [(On)-250(Return)]TJ
+/F51 9.9626 Tf -345.58 -21.918 Td [(On)-250(Return)]TJ
 0 g 0 G
 0 g 0 G
  0 -19.925 Td [(desc)]TJ
@@ -16620,35 +16620,35 @@ q
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-/F54 9.9626 Tf 174.207 467.987 Td [(a)]TJ
+/F51 9.9626 Tf 174.207 467.987 Td [(a)]TJ
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diff --git a/docs/src/toolsrout.tex b/docs/src/toolsrout.tex
index 8a8effef..5c1a6c8f 100644
--- a/docs/src/toolsrout.tex
+++ b/docs/src/toolsrout.tex
@@ -547,7 +547,7 @@ An integer value; 0 means no error has been detected.
 \clearpage\subsection{psb\_spall --- Allocates a sparse matrix}
 
 \begin{verbatim}
-call psb_spall(a, desc_a, info, nnz, buildmode)
+call psb_spall(a, desc_a, info [, nnz, dupl, buildmode])
 \end{verbatim}
 
 \begin{description}
@@ -564,6 +564,12 @@ Scope: {\bf global}.\\
 Type: {\bf optional}.\\
 Intent: {\bf in}.\\
 Specified as: an integer value. 
+\item[dupl] How to handle duplicate coefficients.\\
+Scope: {\bf global}.\\
+Type: {\bf optional}.\\
+Intent: {\bf in}.\\
+Specified as: integer, possible values: \verb|psb_dupl_ovwrt_|,
+\verb|psb_dupl_add_|, \verb|psb_dupl_err_|.
 \item[buildmode] Whether to keep track of matrix entries that do not
   belong to the current process.\\ 
 Scope: {\bf global}.\\
@@ -733,7 +739,7 @@ An integer value; 0 means no error has been detected.
 \clearpage\subsection{psb\_spasb --- Sparse matrix assembly routine}
 
 \begin{verbatim}
-call psb_spasb(a, desc_a, info, afmt, upd, dupl, mold)
+call psb_spasb(a, desc_a, info, afmt, upd,  mold)
 \end{verbatim}
 
 \begin{description}
@@ -754,12 +760,6 @@ Scope: {\bf global}.\\
 Type: {\bf optional}.\\
 Intent: {\bf in}.\\
 Specified as: integer, possible values: \verb|psb_upd_srch_|, \verb|psb_upd_perm_|
-\item[dupl] How to handle duplicate coefficients.\\
-Scope: {\bf global}.\\
-Type: {\bf optional}.\\
-Intent: {\bf in}.\\
-Specified as: integer, possible values: \verb|psb_dupl_ovwrt_|,
-\verb|psb_dupl_add_|, \verb|psb_dupl_err_|.
 \item[mold] The desired dynamic type for the internal matrix storage.\\
 Scope: {\bf local}.\\
 Type: {\bf optional}.\\
@@ -979,7 +979,7 @@ An integer value; 0 means no error has been detected.
 %\addcontentsline{toc}{subsection}{psb\_geall}
 
 \begin{verbatim}
-call psb_geall(x, desc_a, info, n, lb)
+call psb_geall(x, desc_a, info[, dupl, bldmode, n, lb])
 \end{verbatim}
 
 \begin{description}
@@ -1002,6 +1002,19 @@ Type: {\bf optional}\\
 Intent: {\bf in}.\\
 Specified as: Integer scalar, default $1$. It is not a valid argument if $x$ is a
 rank-1 array. 
+\item[dupl] How to handle duplicate coefficients.\\
+Scope: {\bf global}.\\
+Type: {\bf optional}.\\
+Intent: {\bf in}.\\
+Specified as: integer, possible values: \verb|psb_dupl_ovwrt_|,
+\verb|psb_dupl_add_|, \verb|psb_dupl_err_|.
+\item[buildmode] Whether to keep track of matrix entries that do not
+  belong to the current process.\\ 
+Scope: {\bf global}.\\
+Type: {\bf optional}.\\
+Intent: {\bf in}.\\
+Specified as: an integer value \verb|psb_matbld_noremote_|,
+\verb|psb_matbld_remote_|.  Default:  \verb|psb_matbld_noremote_|.
 \end{description}
 
 \begin{description}
@@ -1027,7 +1040,7 @@ An integer value; 0 means no error has been detected.
 %\addcontentsline{toc}{subsection}{psb\_geins}
 
 \begin{verbatim}
-call psb_geins(m, irw, val, x, desc_a, info [,dupl,local])
+call psb_geins(m, irw, val, x, desc_a, info [,local])
 \end{verbatim}
 
 \begin{description}
@@ -1056,12 +1069,6 @@ Scope:{\bf local}.\\
 Type:{\bf required}.\\
 Intent: {\bf in}.\\
 Specified as: a structured data of type \descdata.
-\item[dupl] How to handle duplicate coefficients.\\
-Scope: {\bf global}.\\
-Type: {\bf optional}.\\
-Intent: {\bf in}.\\
-Specified as: integer, possible values: \verb|psb_dupl_ovwrt_|,
-\verb|psb_dupl_add_|.
 \item[local] Whether the entries in the index vector \verb|irw|,
    are already in local  numbering. \\
  Scope:{\bf local}.\\

From 4b559c6a4b5df2d0f3bfbb612176de7ad3b7d378 Mon Sep 17 00:00:00 2001
From: Cirdans-Home 
Date: Tue, 5 Apr 2022 08:33:15 +0200
Subject: [PATCH 25/28] Added psb_c_@X@global_vec_write

---
 cbind/util/psb_c_cutil.h            |    1 +
 cbind/util/psb_c_dutil.h            |    1 +
 cbind/util/psb_c_sutil.h            |    1 +
 cbind/util/psb_c_util_cbind_mod.f90 |   43 +
 cbind/util/psb_c_zutil.h            |    1 +
 cbind/util/psb_d_util_cbind_mod.f90 |   43 +
 cbind/util/psb_s_util_cbind_mod.f90 |   43 +
 cbind/util/psb_z_util_cbind_mod.f90 |   43 +
 docs/psblas-3.7.pdf                 | 9624 +++++++++++++++------------
 docs/src/util.tex                   |   46 +
 10 files changed, 5749 insertions(+), 4097 deletions(-)

diff --git a/cbind/util/psb_c_cutil.h b/cbind/util/psb_c_cutil.h
index c9ca4211..9da81aa1 100644
--- a/cbind/util/psb_c_cutil.h
+++ b/cbind/util/psb_c_cutil.h
@@ -9,6 +9,7 @@ extern "C" {
 /* I/O Routine */
 psb_i_t psb_c_cmm_mat_write(psb_c_cspmat *ah, char *matrixtitle, char *filename);
 psb_i_t psb_c_cglobal_mat_write(psb_c_cspmat *ah,psb_c_descriptor *cdh);
+psb_i_t psb_c_cglobal_vec_write(psb_c_cvector *vh,psb_c_descriptor *cdh);
 
 #ifdef __cplusplus
 }
diff --git a/cbind/util/psb_c_dutil.h b/cbind/util/psb_c_dutil.h
index 2931e530..144e156d 100644
--- a/cbind/util/psb_c_dutil.h
+++ b/cbind/util/psb_c_dutil.h
@@ -9,6 +9,7 @@ extern "C" {
 /* I/O Routine */
 psb_i_t psb_c_dmm_mat_write(psb_c_dspmat *ah, char *matrixtitle, char *filename);
 psb_i_t psb_c_dglobal_mat_write(psb_c_dspmat *ah,psb_c_descriptor *cdh);
+psb_i_t psb_c_dglobal_vec_write(psb_c_dvector *vh,psb_c_descriptor *cdh);
 
 #ifdef __cplusplus
 }
diff --git a/cbind/util/psb_c_sutil.h b/cbind/util/psb_c_sutil.h
index 3fd9f0ca..a70097ed 100644
--- a/cbind/util/psb_c_sutil.h
+++ b/cbind/util/psb_c_sutil.h
@@ -9,6 +9,7 @@ extern "C" {
 /* I/O Routine */
 psb_i_t psb_c_smm_mat_write(psb_c_sspmat *ah, char *matrixtitle, char *filename);
 psb_i_t psb_c_sglobal_mat_write(psb_c_sspmat *ah,psb_c_descriptor *cdh);
+psb_i_t psb_c_sglobal_vec_write(psb_c_svector *vh,psb_c_descriptor *cdh);
 
 #ifdef __cplusplus
 }
diff --git a/cbind/util/psb_c_util_cbind_mod.f90 b/cbind/util/psb_c_util_cbind_mod.f90
index cd322b56..ae3f6cf8 100644
--- a/cbind/util/psb_c_util_cbind_mod.f90
+++ b/cbind/util/psb_c_util_cbind_mod.f90
@@ -84,5 +84,48 @@ contains
 
     end function psb_c_cglobal_mat_write
 
+  function psb_c_cglobal_vec_write(vh,cdh) bind(c) result(res)
+        use psb_base_mod
+        use psb_util_mod
+        use psb_base_string_cbind_mod
+        implicit none
+        integer(psb_c_ipk_) :: res
+
+        type(psb_c_cvector)  :: vh 
+        type(psb_c_descriptor) :: cdh
+
+	type(psb_c_vect_type), pointer :: vp
+	type(psb_desc_type), pointer :: descp
+	! Local variables
+	complex(psb_spk_), allocatable :: vglobal(:)
+        integer(psb_ipk_) :: info, iam, np
+	type(psb_ctxt_type) :: ctxt
+	character(len=40)  :: vecname
+
+	res = -1
+    	if (c_associated(cdh%item)) then
+      	  call c_f_pointer(cdh%item,descp)
+    	else
+      	  return
+    	end if
+        if (c_associated(vh%item)) then
+          call c_f_pointer(vh%item,vp)
+        else
+         return
+        end if
+
+	ctxt = descp%get_ctxt()
+	call psb_info(ctxt,iam,np)
+	call psb_gather(vglobal,vp,descp,info)
+        if (iam == psb_root_) then
+	   write(vecname,'("v-np-",I1,".mtx")') np
+      	   call mm_array_write(vglobal,"Global vector",info,filename=trim(vecname))
+	end if
+
+	deallocate(vglobal,stat=info)
+	res = info
+
+    end function psb_c_cglobal_vec_write
+
 
 end module psb_cutil_cbind_mod
diff --git a/cbind/util/psb_c_zutil.h b/cbind/util/psb_c_zutil.h
index b1b47e35..4e308c36 100644
--- a/cbind/util/psb_c_zutil.h
+++ b/cbind/util/psb_c_zutil.h
@@ -9,6 +9,7 @@ extern "C" {
 /* I/O Routine */
 psb_i_t psb_c_zmm_mat_write(psb_c_zspmat *ah, char *matrixtitle, char *filename);
 psb_i_t psb_c_zglobal_mat_write(psb_c_zspmat *ah,psb_c_descriptor *cdh);
+psb_i_t psb_c_zglobal_vec_write(psb_c_zvector *vh,psb_c_descriptor *cdh);
 
 #ifdef __cplusplus
 }
diff --git a/cbind/util/psb_d_util_cbind_mod.f90 b/cbind/util/psb_d_util_cbind_mod.f90
index 60e282a3..29fec75b 100644
--- a/cbind/util/psb_d_util_cbind_mod.f90
+++ b/cbind/util/psb_d_util_cbind_mod.f90
@@ -84,5 +84,48 @@ contains
 
     end function psb_c_dglobal_mat_write
 
+  function psb_c_dglobal_vec_write(vh,cdh) bind(c) result(res)
+        use psb_base_mod
+        use psb_util_mod
+        use psb_base_string_cbind_mod
+        implicit none
+        integer(psb_c_ipk_) :: res
+
+        type(psb_c_dvector)  :: vh 
+        type(psb_c_descriptor) :: cdh
+
+	type(psb_d_vect_type), pointer :: vp
+	type(psb_desc_type), pointer :: descp
+	! Local variables
+	real(psb_dpk_), allocatable :: vglobal(:)
+        integer(psb_ipk_) :: info, iam, np
+	type(psb_ctxt_type) :: ctxt
+	character(len=40)  :: vecname
+
+	res = -1
+    	if (c_associated(cdh%item)) then
+      	  call c_f_pointer(cdh%item,descp)
+    	else
+      	  return
+    	end if
+        if (c_associated(vh%item)) then
+          call c_f_pointer(vh%item,vp)
+        else
+         return
+        end if
+
+	ctxt = descp%get_ctxt()
+	call psb_info(ctxt,iam,np)
+	call psb_gather(vglobal,vp,descp,info)
+        if (iam == psb_root_) then
+	   write(vecname,'("v-np-",I1,".mtx")') np
+      	   call mm_array_write(vglobal,"Global vector",info,filename=trim(vecname))
+	end if
+
+	deallocate(vglobal,stat=info)
+	res = info
+
+    end function psb_c_dglobal_vec_write
+
 
 end module psb_dutil_cbind_mod
diff --git a/cbind/util/psb_s_util_cbind_mod.f90 b/cbind/util/psb_s_util_cbind_mod.f90
index 947f88d9..0dfe3ddc 100644
--- a/cbind/util/psb_s_util_cbind_mod.f90
+++ b/cbind/util/psb_s_util_cbind_mod.f90
@@ -84,5 +84,48 @@ contains
 
     end function psb_c_sglobal_mat_write
 
+  function psb_c_sglobal_vec_write(vh,cdh) bind(c) result(res)
+        use psb_base_mod
+        use psb_util_mod
+        use psb_base_string_cbind_mod
+        implicit none
+        integer(psb_c_ipk_) :: res
+
+        type(psb_c_svector)  :: vh 
+        type(psb_c_descriptor) :: cdh
+
+	type(psb_s_vect_type), pointer :: vp
+	type(psb_desc_type), pointer :: descp
+	! Local variables
+	real(psb_spk_), allocatable :: vglobal(:)
+        integer(psb_ipk_) :: info, iam, np
+	type(psb_ctxt_type) :: ctxt
+	character(len=40)  :: vecname
+
+	res = -1
+    	if (c_associated(cdh%item)) then
+      	  call c_f_pointer(cdh%item,descp)
+    	else
+      	  return
+    	end if
+        if (c_associated(vh%item)) then
+          call c_f_pointer(vh%item,vp)
+        else
+         return
+        end if
+
+	ctxt = descp%get_ctxt()
+	call psb_info(ctxt,iam,np)
+	call psb_gather(vglobal,vp,descp,info)
+        if (iam == psb_root_) then
+	   write(vecname,'("v-np-",I1,".mtx")') np
+      	   call mm_array_write(vglobal,"Global vector",info,filename=trim(vecname))
+	end if
+
+	deallocate(vglobal,stat=info)
+	res = info
+
+    end function psb_c_sglobal_vec_write
+
 
 end module psb_sutil_cbind_mod
diff --git a/cbind/util/psb_z_util_cbind_mod.f90 b/cbind/util/psb_z_util_cbind_mod.f90
index 46412550..792f836f 100644
--- a/cbind/util/psb_z_util_cbind_mod.f90
+++ b/cbind/util/psb_z_util_cbind_mod.f90
@@ -84,5 +84,48 @@ contains
 
     end function psb_c_zglobal_mat_write
 
+  function psb_c_zglobal_vec_write(vh,cdh) bind(c) result(res)
+        use psb_base_mod
+        use psb_util_mod
+        use psb_base_string_cbind_mod
+        implicit none
+        integer(psb_c_ipk_) :: res
+
+        type(psb_c_zvector)  :: vh 
+        type(psb_c_descriptor) :: cdh
+
+	type(psb_z_vect_type), pointer :: vp
+	type(psb_desc_type), pointer :: descp
+	! Local variables
+	complex(psb_dpk_), allocatable :: vglobal(:)
+        integer(psb_ipk_) :: info, iam, np
+	type(psb_ctxt_type) :: ctxt
+	character(len=40)  :: vecname
+
+	res = -1
+    	if (c_associated(cdh%item)) then
+      	  call c_f_pointer(cdh%item,descp)
+    	else
+      	  return
+    	end if
+        if (c_associated(vh%item)) then
+          call c_f_pointer(vh%item,vp)
+        else
+         return
+        end if
+
+	ctxt = descp%get_ctxt()
+	call psb_info(ctxt,iam,np)
+	call psb_gather(vglobal,vp,descp,info)
+        if (iam == psb_root_) then
+	   write(vecname,'("v-np-",I1,".mtx")') np
+      	   call mm_array_write(vglobal,"Global vector",info,filename=trim(vecname))
+	end if
+
+	deallocate(vglobal,stat=info)
+	res = info
+
+    end function psb_c_zglobal_vec_write
+
 
 end module psb_zutil_cbind_mod
diff --git a/docs/psblas-3.7.pdf b/docs/psblas-3.7.pdf
index c2fdc7c7..89becbdf 100644
--- a/docs/psblas-3.7.pdf
+++ b/docs/psblas-3.7.pdf
@@ -4,220 +4,220 @@
 <<
 /Type /ObjStm
 /N 100
-/First 819
-/Length 6377      
+/First 865
+/Length 16060     
 >>
 stream
-1 0 5 38 6 77 9 117 10 144 13 185 14 217 17 263 18 299 21 345
-22 379 25 425 26 464 29 515 30 562 33 608 34 643 37 684 38 727 41 773
-42 816 45 867 46 905 49 956 50 1026 53 1077 54 1147 57 1198 58 1270 61 1321
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-182 5010 185 5057 186 5103 189 5155 190 5190 193 5242 194 5317 197 5369 198 5450 201 5502
+1 0 5 38 6 195 9 235 10 329 13 370 14 488 17 534 18 672 21 718
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+182 13681 185 13728 186 13918 189 13970 190 14099 193 14151 194 14480 197 14532 198 14906 201 14958
 % 1 0 obj
 << /S /GoTo /D (title.0) >>
 % 5 0 obj
-(PSBLAS-v3.7.0 User's Guide)
+(\376\377\000P\000S\000B\000L\000A\000S\000-\000v\0003\000.\0007\000.\0000\000\040\000U\000s\000e\000r\000'\000s\000\040\000G\000u\000i\000d\000e)
 % 6 0 obj
 << /S /GoTo /D (section.1) >>
 % 9 0 obj
-(1 Introduction)
+(\376\377\0001\000\040\000I\000n\000t\000r\000o\000d\000u\000c\000t\000i\000o\000n)
 % 10 0 obj
 << /S /GoTo /D (section.2) >>
 % 13 0 obj
-(2 General overview)
+(\376\377\0002\000\040\000G\000e\000n\000e\000r\000a\000l\000\040\000o\000v\000e\000r\000v\000i\000e\000w)
 % 14 0 obj
 << /S /GoTo /D (subsection.2.1) >>
 % 17 0 obj
-(2.1 Basic Nomenclature)
+(\376\377\0002\000.\0001\000\040\000B\000a\000s\000i\000c\000\040\000N\000o\000m\000e\000n\000c\000l\000a\000t\000u\000r\000e)
 % 18 0 obj
 << /S /GoTo /D (subsection.2.2) >>
 % 21 0 obj
-(2.2 Library contents)
+(\376\377\0002\000.\0002\000\040\000L\000i\000b\000r\000a\000r\000y\000\040\000c\000o\000n\000t\000e\000n\000t\000s)
 % 22 0 obj
 << /S /GoTo /D (subsection.2.3) >>
 % 25 0 obj
-(2.3 Application structure)
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 % 26 0 obj
 << /S /GoTo /D (subsubsection.2.3.1) >>
 % 29 0 obj
-(2.3.1 User-defined index mappings)
+(\376\377\0002\000.\0003\000.\0001\000\040\000U\000s\000e\000r\000-\000d\000e\000f\000i\000n\000e\000d\000\040\000i\000n\000d\000e\000x\000\040\000m\000a\000p\000p\000i\000n\000g\000s)
 % 30 0 obj
 << /S /GoTo /D (subsection.2.4) >>
 % 33 0 obj
-(2.4 Programming model)
+(\376\377\0002\000.\0004\000\040\000P\000r\000o\000g\000r\000a\000m\000m\000i\000n\000g\000\040\000m\000o\000d\000e\000l)
 % 34 0 obj
 << /S /GoTo /D (section.3) >>
 % 37 0 obj
-(3 Data Structures and Classes)
+(\376\377\0003\000\040\000D\000a\000t\000a\000\040\000S\000t\000r\000u\000c\000t\000u\000r\000e\000s\000\040\000a\000n\000d\000\040\000C\000l\000a\000s\000s\000e\000s)
 % 38 0 obj
 << /S /GoTo /D (subsection.3.1) >>
 % 41 0 obj
-(3.1 Descriptor data structure)
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 % 42 0 obj
 << /S /GoTo /D (subsubsection.3.1.1) >>
 % 45 0 obj
-(3.1.1 Descriptor Methods)
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 % 46 0 obj
 << /S /GoTo /D (subsubsection.3.1.2) >>
 % 49 0 obj
-(3.1.2 get\137local\137rows \204 Get number of local rows)
+(\376\377\0003\000.\0001\000.\0002\000\040\000g\000e\000t\000\137\000l\000o\000c\000a\000l\000\137\000r\000o\000w\000s\000\040\040\024\000\040\000G\000e\000t\000\040\000n\000u\000m\000b\000e\000r\000\040\000o\000f\000\040\000l\000o\000c\000a\000l\000\040\000r\000o\000w\000s)
 % 50 0 obj
 << /S /GoTo /D (subsubsection.3.1.3) >>
 % 53 0 obj
-(3.1.3 get\137local\137cols \204 Get number of local cols)
+(\376\377\0003\000.\0001\000.\0003\000\040\000g\000e\000t\000\137\000l\000o\000c\000a\000l\000\137\000c\000o\000l\000s\000\040\040\024\000\040\000G\000e\000t\000\040\000n\000u\000m\000b\000e\000r\000\040\000o\000f\000\040\000l\000o\000c\000a\000l\000\040\000c\000o\000l\000s)
 % 54 0 obj
 << /S /GoTo /D (subsubsection.3.1.4) >>
 % 57 0 obj
-(3.1.4 get\137global\137rows \204 Get number of global rows)
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 << /S /GoTo /D (subsubsection.3.1.5) >>
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-(3.1.5 get\137global\137cols \204 Get number of global cols)
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 << /S /GoTo /D (subsubsection.3.1.6) >>
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-(3.1.6 get\137global\137indices \204 Get vector of global indices)
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 << /S /GoTo /D (subsubsection.3.1.7) >>
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-(3.1.7 get\137context \204 Get communication context)
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 << /S /GoTo /D (subsubsection.3.1.8) >>
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 << /S /GoTo /D (subsubsection.3.1.9) >>
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-(3.1.9 CNV \204 convert internal storage format)
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 << /S /GoTo /D (subsubsection.3.1.10) >>
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 << /S /GoTo /D (subsubsection.3.1.11) >>
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 << /S /GoTo /D (subsubsection.3.1.12) >>
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-(3.1.12 get\137p\137adjcncy \204 Get process adjacency list)
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 << /S /GoTo /D (subsubsection.3.1.13) >>
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-(3.1.13 set\137p\137adjcncy \204 Set process adjacency list)
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 << /S /GoTo /D (subsubsection.3.1.14) >>
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-(3.1.14 fnd\137owner \204 Find the owner process of a set of indices)
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 << /S /GoTo /D (subsubsection.3.1.15) >>
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-(3.1.15 Named Constants)
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 << /S /GoTo /D (subsection.3.2) >>
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-(3.2 Sparse Matrix class)
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 << /S /GoTo /D (subsubsection.3.2.1) >>
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-(3.2.1 Sparse Matrix Methods)
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 << /S /GoTo /D (subsubsection.3.2.2) >>
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-(3.2.2 get\137nrows \204 Get number of rows in a sparse matrix)
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 << /S /GoTo /D (subsubsection.3.2.3) >>
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-(3.2.3 get\137ncols \204 Get number of columns in a sparse matrix)
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 << /S /GoTo /D (subsubsection.3.2.4) >>
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-(3.2.4 get\137nnzeros \204 Get number of nonzero elements in a sparse matrix)
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 << /S /GoTo /D (subsubsection.3.2.5) >>
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-(3.2.5 get\137size \204 Get maximum number of nonzero elements in a sparse matrix)
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 << /S /GoTo /D (subsubsection.3.2.6) >>
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-(3.2.6 sizeof \204 Get memory occupation in bytes of a sparse matrix)
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 << /S /GoTo /D (subsubsection.3.2.7) >>
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-(3.2.7 get\137fmt \204 Short description of the dynamic type)
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 << /S /GoTo /D (subsubsection.3.2.8) >>
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-(3.2.8 is\137bld, is\137upd, is\137asb \204 Status check)
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 << /S /GoTo /D (subsubsection.3.2.9) >>
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-(3.2.9 is\137lower, is\137upper, is\137triangle, is\137unit \204 Format check)
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 << /S /GoTo /D (subsubsection.3.2.10) >>
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-(3.2.10 cscnv \204 Convert to a different storage format)
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 << /S /GoTo /D (subsubsection.3.2.11) >>
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-(3.2.11 csclip \204 Reduce to a submatrix)
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 << /S /GoTo /D (subsubsection.3.2.12) >>
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-(3.2.12 clean\137zeros \204 Eliminate zero coefficients)
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 << /S /GoTo /D (subsubsection.3.2.13) >>
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-(3.2.13 get\137diag \204 Get main diagonal)
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 << /S /GoTo /D (subsubsection.3.2.14) >>
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-(3.2.14 clip\137diag \204 Cut out main diagonal)
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 << /S /GoTo /D (subsubsection.3.2.15) >>
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-(3.2.15 tril \204 Return the lower triangle)
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 << /S /GoTo /D (subsubsection.3.2.16) >>
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-(3.2.16 triu \204 Return the upper triangle)
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 << /S /GoTo /D (subsubsection.3.2.17) >>
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-(3.2.17 psb\137set\137mat\137default \204 Set default storage format)
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 << /S /GoTo /D (subsubsection.3.2.18) >>
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-(3.2.18 clone \204 Clone current object)
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 << /S /GoTo /D (subsubsection.3.2.19) >>
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-(3.2.19 Named Constants)
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 << /S /GoTo /D (subsection.3.3) >>
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-(3.3 Dense Vector Data Structure)
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 << /S /GoTo /D (subsubsection.3.3.1) >>
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-(3.3.1 Vector Methods)
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 << /S /GoTo /D (subsubsection.3.3.2) >>
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-(3.3.2 get\137nrows \204 Get number of rows in a dense vector)
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 << /S /GoTo /D (subsubsection.3.3.3) >>
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-(3.3.3 sizeof \204 Get memory occupation in bytes of a dense vector)
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 << /S /GoTo /D (subsubsection.3.3.4) >>
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-(3.3.4 set \204 Set contents of the vector)
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@@ -225,220 +225,220 @@ endobj
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 << /S /GoTo /D (subsubsection.3.3.5) >>
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-(3.3.5 get\137vect \204 Get a copy of the vector contents)
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 << /S /GoTo /D (subsubsection.3.3.6) >>
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-(3.3.6 clone \204 Clone current object)
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 << /S /GoTo /D (subsection.3.4) >>
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-(3.4 Preconditioner data structure)
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 << /S /GoTo /D (subsection.3.5) >>
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-(3.5 Heap data structure)
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 << /S /GoTo /D (section.4) >>
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-(4 Computational routines)
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 << /S /GoTo /D (subsection.4.1) >>
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-(4.1 psb\137geaxpby \204 General Dense Matrix Sum)
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 << /S /GoTo /D (subsection.4.2) >>
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-(4.2 psb\137gedot \204 Dot Product)
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 << /S /GoTo /D (subsection.4.3) >>
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-(4.3 psb\137gedots \204 Generalized Dot Product)
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 << /S /GoTo /D (subsection.4.4) >>
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-(4.4 psb\137normi \204 Infinity-Norm of Vector)
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 << /S /GoTo /D (subsection.4.5) >>
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-(4.5 psb\137geamaxs \204 Generalized Infinity Norm)
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 << /S /GoTo /D (subsection.4.6) >>
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-(4.6 psb\137norm1 \204 1-Norm of Vector)
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 << /S /GoTo /D (subsection.4.7) >>
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-(4.7 psb\137geasums \204 Generalized 1-Norm of Vector)
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 << /S /GoTo /D (subsection.4.8) >>
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-(4.8 psb\137norm2 \204 2-Norm of Vector)
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 << /S /GoTo /D (subsection.4.9) >>
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-(4.9 psb\137genrm2s \204 Generalized 2-Norm of Vector)
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 << /S /GoTo /D (subsection.4.10) >>
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-(4.10 psb\137norm1 \204 1-Norm of Sparse Matrix)
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 << /S /GoTo /D (subsection.4.11) >>
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-(4.11 psb\137normi \204 Infinity Norm of Sparse Matrix)
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 << /S /GoTo /D (subsection.4.12) >>
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-(4.12 psb\137spmm \204 Sparse Matrix by Dense Matrix Product)
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 << /S /GoTo /D (subsection.4.13) >>
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-(4.13 psb\137spsm \204 Triangular System Solve)
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 << /S /GoTo /D (subsection.4.14) >>
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-(4.14 psb\137gemlt \204 Entrywise Product)
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 << /S /GoTo /D (subsection.4.15) >>
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-(4.15 psb\137gediv \204 Entrywise Division)
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 << /S /GoTo /D (subsection.4.16) >>
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-(4.16 psb\137geinv \204 Entrywise Inversion)
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 << /S /GoTo /D (section.5) >>
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-(5 Communication routines)
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 << /S /GoTo /D (subsection.5.1) >>
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-(5.1 psb\137halo \204 Halo Data Communication)
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 << /S /GoTo /D (subsection.5.2) >>
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-(5.2 psb\137ovrl \204 Overlap Update)
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 << /S /GoTo /D (subsection.5.3) >>
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-(5.3 psb\137gather \204 Gather Global Dense Matrix)
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 << /S /GoTo /D (subsection.5.4) >>
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-(5.4 psb\137scatter \204 Scatter Global Dense Matrix)
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 << /S /GoTo /D (section.6) >>
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-(6 Data management routines)
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 << /S /GoTo /D (subsection.6.1) >>
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-(6.1 psb\137cdall \204 Allocates a communication descriptor)
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 << /S /GoTo /D (subsection.6.2) >>
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-(6.2 psb\137cdins \204 Communication descriptor insert routine)
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 << /S /GoTo /D (subsection.6.3) >>
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-(6.3 psb\137cdasb \204 Communication descriptor assembly routine)
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 << /S /GoTo /D (subsection.6.4) >>
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-(6.4 psb\137cdcpy \204 Copies a communication descriptor)
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 % 327 0 obj
 << /S /GoTo /D (subsection.6.5) >>
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-(6.5 psb\137cdfree \204 Frees a communication descriptor)
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 % 331 0 obj
 << /S /GoTo /D (subsection.6.6) >>
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-(6.6 psb\137cdbldext \204 Build an extended communication descriptor)
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 % 335 0 obj
 << /S /GoTo /D (subsection.6.7) >>
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-(6.7 psb\137spall \204 Allocates a sparse matrix)
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 % 339 0 obj
 << /S /GoTo /D (subsection.6.8) >>
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-(6.8 psb\137spins \204 Insert a set of coefficients into a sparse matrix)
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 << /S /GoTo /D (subsection.6.9) >>
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-(6.9 psb\137spasb \204 Sparse matrix assembly routine)
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 % 347 0 obj
 << /S /GoTo /D (subsection.6.10) >>
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-(6.10 psb\137spfree \204 Frees a sparse matrix)
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 << /S /GoTo /D (subsection.6.11) >>
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-(6.11 psb\137sprn \204 Reinit sparse matrix structure for psblas routines.)
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 << /S /GoTo /D (subsection.6.12) >>
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-(6.12 psb\137geall \204 Allocates a dense matrix)
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 << /S /GoTo /D (subsection.6.13) >>
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-(6.13 psb\137geins \204 Dense matrix insertion routine)
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 << /S /GoTo /D (subsection.6.14) >>
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-(6.14 psb\137geasb \204 Assembly a dense matrix)
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 << /S /GoTo /D (subsection.6.15) >>
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-(6.15 psb\137gefree \204 Frees a dense matrix)
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 << /S /GoTo /D (subsection.6.16) >>
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-(6.16 psb\137gelp \204 Applies a left permutation to a dense matrix)
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 << /S /GoTo /D (subsection.6.24) >>
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 << /S /GoTo /D (subsection.6.25) >>
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 << /S /GoTo /D (subsection.6.26) >>
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 << /S /GoTo /D (subsection.6.27) >>
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 << /S /GoTo /D (section.7) >>
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 << /S /GoTo /D (subsection.7.1) >>
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 << /S /GoTo /D (subsection.7.2) >>
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 << /S /GoTo /D (subsection.7.3) >>
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-(7.3 psb\137exit \204 Exit from PSBLAS parallel environment)
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 << /S /GoTo /D (subsection.7.4) >>
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 << /S /GoTo /D (subsection.7.5) >>
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 << /S /GoTo /D (subsection.7.6) >>
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 << /S /GoTo /D (subsection.7.7) >>
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 << /S /GoTo /D (subsection.7.8) >>
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 << /S /GoTo /D (subsection.7.9) >>
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 << /S /GoTo /D (subsection.7.10) >>
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 << /S /GoTo /D (subsection.7.11) >>
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 << /S /GoTo /D (subsection.7.12) >>
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-(7.12 psb\137min \204 Global minimum)
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 << /S /GoTo /D (subsection.7.13) >>
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 << /S /GoTo /D (subsection.7.14) >>
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 << /S /GoTo /D (subsection.7.15) >>
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 << /S /GoTo /D (subsection.7.16) >>
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 << /S /GoTo /D (subsection.7.17) >>
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 << /S /GoTo /D (section.8) >>
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 << /S /GoTo /D (subsection.8.1) >>
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 << /S /GoTo /D (subsection.8.2) >>
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 << /S /GoTo /D (subsection.8.3) >>
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 << /S /GoTo /D (subsection.8.4) >>
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 << /S /GoTo /D (section.9) >>
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 << /S /GoTo /D (subsection.9.1) >>
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-(9.1 \040hb\137read \204 Read a sparse matrix from a file in the Harwell\205Boeing format)
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 << /S /GoTo /D (subsection.9.2) >>
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 << /S /GoTo /D (subsection.9.3) >>
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-(9.3 mm\137mat\137read \204 Read a sparse matrix from a file in the MatrixMarket format)
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 << /S /GoTo /D (subsection.9.4) >>
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-(9.4 mm\137array\137read \204 Read a dense array from a file in the MatrixMarket format)
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 % 532 0 obj
 << /S /GoTo /D (subsection.9.5) >>
 % 535 0 obj
-(9.5 mm\137mat\137write \204 Write a sparse matrix to a file in the MatrixMarket format)
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 % 536 0 obj
 << /S /GoTo /D (subsection.9.6) >>
 % 539 0 obj
-(9.6 mm\137array\137write \204 Write a dense array from a file in the MatrixMarket format)
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 % 540 0 obj
 << /S /GoTo /D (section.10) >>
 % 543 0 obj
-(10 Preconditioner routines)
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 % 544 0 obj
 << /S /GoTo /D (subsection.10.1) >>
 % 547 0 obj
-(10.1 init \204 Initialize a preconditioner)
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 % 548 0 obj
 << /S /GoTo /D (subsection.10.2) >>
 % 551 0 obj
-(10.2 build \204 Builds a preconditioner)
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 % 552 0 obj
 << /S /GoTo /D (subsection.10.3) >>
 % 555 0 obj
-(10.3 apply \204 Preconditioner application routine)
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 % 556 0 obj
 << /S /GoTo /D (subsection.10.4) >>
 % 559 0 obj
-(10.4 descr \204 Prints a description of current preconditioner)
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 % 560 0 obj
 << /S /GoTo /D (subsection.10.5) >>
 % 563 0 obj
-(10.5 clone \204 clone current preconditioner)
+(\376\377\0001\0000\000.\0005\000\040\000c\000l\000o\000n\000e\000\040\040\024\000\040\000c\000l\000o\000n\000e\000\040\000c\000u\000r\000r\000e\000n\000t\000\040\000p\000r\000e\000c\000o\000n\000d\000i\000t\000i\000o\000n\000e\000r)
 % 564 0 obj
 << /S /GoTo /D (subsection.10.6) >>
 % 567 0 obj
-(10.6 free \204 Free a preconditioner)
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 % 568 0 obj
 << /S /GoTo /D (section.11) >>
 % 571 0 obj
-(11 Iterative Methods)
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 << /S /GoTo /D (subsection.11.1) >>
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-(11.1 psb\137krylov \040\204 Krylov Methods Driver Routine)
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 1 0 0 rg 1 0 0 RG
  [(14)]TJ
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@@ -3823,10 +3823,10 @@ q
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@@ -3841,9 +3841,9 @@ stream
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[(is)-234(isomorphic)-235(to)-234(the)-234(set)-235(of)-234(cell)-234(cen-)]TJ -193.593 -11.955 Td [(ters,)-210(wher)18(eas)-200(the)-201(pattern)-200(of)-200(the)-201(associated)-200(linear)-200(system)-200(matrix)-201(is)-200(isomorphic)-200(to)]TJ 0 -11.956 Td [(the)-294(adjacency)-294(graph)-294(imposed)-294(on)-294(the)-294(discr)18(et)1(ization)-294(mesh)-294(by)-294(the)-294(discr)18(etization)]TJ 0 -11.955 Td [(stencil.)]TJ 14.944 -12.17 Td [(Thus)-343(the)-343(\002rst)-343(or)18(der)-344(of)-343(business)-343(is)-343(to)-343(establish)-343(an)-343(index)-343(space,)-367(and)-343(this)-343(is)]TJ -14.944 -11.955 Td [(done)-287(with)-287(a)-287(call)-287(to)]TJ/F59 9.9626 Tf 85.52 0 Td [(psb_cdall)]TJ/F54 9.9626 Tf 49.932 0 Td [(in)-287(which)-287(we)-287(specify)-287(the)-287(size)-287(of)-287(the)-287(index)-287(space)]TJ/F52 9.9626 Tf -135.328 -11.956 Td [(n)]TJ/F54 9.9626 Tf 8.041 0 Td [(and)-238(the)-239(allocation)-238(of)-239(the)-239(ele)1(ments)-239(of)-239(the)-238(index)-239(space)-238(to)-239(the)-238(various)-239(pr)18(ocesses)]TJ -8.165 -11.955 Td [(making)-250(up)-250(the)-250(MPI)-250(\050virtual\051)-250(parallel)-250(machine.)]TJ 14.944 -12.17 Td [(The)-366(index)-367(space)-366(is)-366(partitioned)-367(among)-366(pr)18(ocesses,)-396(and)-366(this)-366(cr)18(eates)-367(a)-366(map-)]TJ -14.944 -11.956 Td [(ping)-301(fr)18(om)-300(the)-301(\223global\224)-301(numbering)-300(1)-180(.)-191(.)-192(.)]TJ/F52 9.9626 Tf 176.584 0 Td [(n)]TJ/F54 9.9626 Tf 8.659 0 Td [(to)-301(a)-300(numbering)-301(\223local\224)-301(to)-301(each)-300(pr)18(o-)]TJ -185.243 -11.955 Td [(cess;)-230(each)-221(pr)18(ocess)]TJ/F52 9.9626 Tf 79.682 0 Td [(i)]TJ/F54 9.9626 Tf 5.162 0 Td [(will)-221(own)-220(a)-221(certain)-220(subset)-221(1)-179(.)-192(.)-192(.)]TJ/F52 9.9626 Tf 130.532 0 Td [(n)]TJ/F54 9.9626 Tf 5.664 -1.494 Td [(r)18(ow)]TJ/F52 5.9776 Tf 17.537 -1.649 Td [(i)]TJ/F54 9.9626 Tf 2.775 3.143 Td [(,)-226(each)-221(element)-221(of)-220(which)]TJ -241.352 -11.955 Td [(corr)18(esponds)-258(to)-259(a)-258(certain)-258(element)-258(of)-259(1)-179(.)-192(.)-191(.)]TJ/F52 9.9626 Tf 177.035 0 Td [(n)]TJ/F54 9.9626 Tf 5.664 0 Td [(.)-335(The)-258(user)-259(doe)1(s)-259(not)-258(set)-258(explicitly)-259(this)]TJ -182.699 -11.955 Td [(mapping;)-225(when)-212(the)-212(application)-212(needs)-213(to)-212(indicate)-212(to)-212(which)-213(el)1(ement)-213(of)-212(the)-212(index)]TJ 0 -11.955 Td [(space)-305(a)-306(certain)-305(item)-306(is)-305(r)18(elated,)-320(such)-305(as)-306(the)-305(r)18(ow)-306(and)-305(column)-306(index)-305(of)-306(a)-305(matrix)]TJ 0 -11.956 Td [(coef)18(\002cient,)-283(it)-276(does)-277(so)-276(in)-277(the)-276(\223global\224)-277(numb)1(ering,)-284(and)-276(the)-276(library)-277(will)-276(translate)]TJ 0 -11.955 Td [(into)-250(the)-250(appr)18(opriate)-250(\223local\224)-250(numbering.)]TJ 14.944 -12.17 Td [(For)-324(a)-325(given)-324(index)-324(space)-325(1)-179(.)-191(.)-192(.)]TJ/F52 9.9626 Tf 129.74 0 Td [(n)]TJ/F54 9.9626 Tf 8.895 0 Td [(ther)18(e)-324(ar)18(e)-325(many)-324(possible)-324(associated)-325(topolo-)]TJ -153.579 -11.956 Td [(gies,)-213(i.e.)-295(many)-204(dif)18(fer)18(ent)-204(discr)18(etization)-204(stencils;)-220(thus)-204(the)-204(description)-204(of)-204(the)-204(index)]TJ 0 -11.955 Td [(space)-277(is)-278(not)-277(completed)-278(until)-277(the)-277(user)-278(has)-277(de\002ned)-278(a)-277(sparsity)-278(p)1(attern,)-285(either)-277(ex-)]TJ 0 -11.955 Td [(plicitly)-263(thr)18(ough)]TJ/F59 9.9626 Tf 71.63 0 Td [(psb_cdins)]TJ/F54 9.9626 Tf 49.698 0 Td [(or)-264(im)1(plicitly)-264(thr)18(ough)]TJ/F59 9.9626 Tf 95.326 0 Td [(psb_spins)]TJ/F54 9.9626 Tf 47.073 0 Td [(.)-351(T)1(he)-264(descriptor)-263(is)]TJ -263.727 -11.955 Td [(\002nalized)-225(with)-225(a)-225(call)-226(to)]TJ/F59 9.9626 Tf 98.787 0 Td [(psb_cdasb)]TJ/F54 9.9626 Tf 49.316 0 Td [(and)-225(a)-225(sparse)-225(matrix)-226(with)-225(a)-225(call)-225(to)]TJ/F59 9.9626 Tf 146.044 0 Td [(psb_spasb)]TJ/F54 9.9626 Tf 47.073 0 Td [(.)]TJ -341.22 -11.955 Td [(After)]TJ/F59 9.9626 Tf 26.16 0 Td [(psb_cdasb)]TJ/F54 9.9626 Tf 50.21 0 Td [(each)-315(pr)18(ocess)]TJ/F52 9.9626 Tf 59.13 0 Td [(i)]TJ/F54 9.9626 Tf 6.101 0 Td [(will)-315(have)-315(de\002ned)-315(a)-314(set)-315(of)-315(\223halo\224)-315(\050or)-315(\223ghost\224\051)]TJ -141.601 -11.955 Td [(indices)]TJ/F52 9.9626 Tf 34.731 0 Td [(n)]TJ/F54 9.9626 Tf 5.663 -1.495 Td [(r)18(ow)]TJ/F52 5.9776 Tf 17.538 -1.648 Td [(i)]TJ/F85 10.3811 Tf 5.211 3.143 Td [(+)]TJ/F54 9.9626 Tf 10.506 0 Td [(1)-179(.)-192(.)-192(.)]TJ/F52 9.9626 Tf 19.967 0 Td [(n)]TJ/F54 9.9626 Tf 5.664 -3.831 Td [(col)]TJ/F52 5.9776 Tf 12.794 -1.648 Td [(i)]TJ/F54 9.9626 Tf 2.775 5.479 Td [(,)-377(denoting)-352(elements)-351(of)-352(the)-352(index)-351(space)-352(that)-351(ar)18(e)]TJ/F52 9.9626 Tf 215.582 0 Td [(not)]TJ/F54 9.9626 Tf -330.431 -13.79 Td [(assigned)-289(to)-290(pr)18(ocess)]TJ/F52 9.9626 Tf 88.744 0 Td [(i)]TJ/F54 9.9626 Tf 2.964 0 Td [(;)-309(however)-290(t)1(he)-290(variables)-289(associated)-290(with)-289(them)-290(ar)18(e)-289(needed)]TJ -91.708 -11.955 Td [(to)-289(complete)-289(computations)-289(associated)-289(with)-290(the)-289(sparse)-289(matrix)]TJ/F52 9.9626 Tf 269.662 0 Td [(A)]TJ/F54 9.9626 Tf 7.318 0 Td [(,)-299(and)-289(thus)-289(they)]TJ -276.98 -11.955 Td [(have)-266(to)-266(be)-266(fetched)-265(fr)18(om)-266(\050neighbouring\051)-266(pr)18(ocesses.)-358(The)-266(descriptor)-265(of)-266(the)-266(index)]TJ 0 -11.956 Td [(space)-294(is)-293(built)-294(exactly)-294(for)-293(the)-294(purpose)-294(of)-293(pr)18(operly)-294(sequencing)-294(the)-293(communica-)]TJ 0 -11.955 Td [(tion)-250(steps)-250(r)18(equir)18(ed)-250(to)-250(achieve)-250(this)-250(objective.)]TJ 14.944 -12.17 Td [(A)-197(simple)-197(application)-197(str)8(uctur)18(e)-197(will)-197(walk)-197(thr)18(ough)-197(the)-197(index)-197(space)-197(allocation,)]TJ -14.944 -11.956 Td [(matrix/vector)-250(cr)18(eation)-250(and)-250(linear)-250(system)-250(solution)-250(as)-250(follows:)]TJ
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[(is)-234(isomorphic)-235(to)-234(the)-234(set)-235(of)-234(cell)-234(cen-)]TJ -193.593 -11.955 Td [(ters,)-210(wher)18(eas)-200(the)-201(pattern)-200(of)-200(the)-201(associated)-200(linear)-200(system)-200(matrix)-201(is)-200(isomorphic)-200(to)]TJ 0 -11.956 Td [(the)-294(adjacency)-294(graph)-294(imposed)-294(on)-294(the)-294(discr)18(et)1(ization)-294(mesh)-294(by)-294(the)-294(discr)18(etization)]TJ 0 -11.955 Td [(stencil.)]TJ 14.944 -12.17 Td [(Thus)-343(the)-343(\002rst)-343(or)18(der)-344(of)-343(business)-343(is)-343(to)-343(establish)-343(an)-343(index)-343(space,)-367(and)-343(this)-343(is)]TJ -14.944 -11.955 Td [(done)-287(with)-287(a)-287(call)-287(to)]TJ/F62 9.9626 Tf 85.52 0 Td [(psb_cdall)]TJ/F57 9.9626 Tf 49.932 0 Td [(in)-287(which)-287(we)-287(specify)-287(the)-287(size)-287(of)-287(the)-287(index)-287(space)]TJ/F55 9.9626 Tf -135.328 -11.956 Td [(n)]TJ/F57 9.9626 Tf 8.041 0 Td [(and)-238(the)-239(allocation)-238(of)-239(the)-239(ele)1(ments)-239(of)-239(the)-238(index)-239(space)-238(to)-239(the)-238(various)-239(pr)18(ocesses)]TJ -8.165 -11.955 Td [(making)-250(up)-250(the)-250(MPI)-250(\050virtual\051)-250(parallel)-250(machine.)]TJ 14.944 -12.17 Td [(The)-366(index)-367(space)-366(is)-366(partitioned)-367(among)-366(pr)18(ocesses,)-396(and)-366(this)-366(cr)18(eates)-367(a)-366(map-)]TJ -14.944 -11.956 Td [(ping)-301(fr)18(om)-300(the)-301(\223global\224)-301(numbering)-300(1)-180(.)-191(.)-192(.)]TJ/F55 9.9626 Tf 176.584 0 Td [(n)]TJ/F57 9.9626 Tf 8.659 0 Td [(to)-301(a)-300(numbering)-301(\223local\224)-301(to)-301(each)-300(pr)18(o-)]TJ -185.243 -11.955 Td [(cess;)-230(each)-221(pr)18(ocess)]TJ/F55 9.9626 Tf 79.682 0 Td [(i)]TJ/F57 9.9626 Tf 5.162 0 Td [(will)-221(own)-220(a)-221(certain)-220(subset)-221(1)-179(.)-192(.)-192(.)]TJ/F55 9.9626 Tf 130.532 0 Td [(n)]TJ/F57 9.9626 Tf 5.664 -1.494 Td [(r)18(ow)]TJ/F55 5.9776 Tf 17.537 -1.649 Td [(i)]TJ/F57 9.9626 Tf 2.775 3.143 Td [(,)-226(each)-221(element)-221(of)-220(which)]TJ -241.352 -11.955 Td [(corr)18(esponds)-258(to)-259(a)-258(certain)-258(element)-258(of)-259(1)-179(.)-192(.)-191(.)]TJ/F55 9.9626 Tf 177.035 0 Td [(n)]TJ/F57 9.9626 Tf 5.664 0 Td [(.)-335(The)-258(user)-259(doe)1(s)-259(not)-258(set)-258(explicitly)-259(this)]TJ -182.699 -11.955 Td [(mapping;)-225(when)-212(the)-212(application)-212(needs)-213(to)-212(indicate)-212(to)-212(which)-213(el)1(ement)-213(of)-212(the)-212(index)]TJ 0 -11.955 Td [(space)-305(a)-306(certain)-305(item)-306(is)-305(r)18(elated,)-320(such)-305(as)-306(the)-305(r)18(ow)-306(and)-305(column)-306(index)-305(of)-306(a)-305(matrix)]TJ 0 -11.956 Td [(coef)18(\002cient,)-283(it)-276(does)-277(so)-276(in)-277(the)-276(\223global\224)-277(numb)1(ering,)-284(and)-276(the)-276(library)-277(will)-276(translate)]TJ 0 -11.955 Td [(into)-250(the)-250(appr)18(opriate)-250(\223local\224)-250(numbering.)]TJ 14.944 -12.17 Td [(For)-324(a)-325(given)-324(index)-324(space)-325(1)-179(.)-191(.)-192(.)]TJ/F55 9.9626 Tf 129.74 0 Td [(n)]TJ/F57 9.9626 Tf 8.895 0 Td [(ther)18(e)-324(ar)18(e)-325(many)-324(possible)-324(associated)-325(topolo-)]TJ -153.579 -11.956 Td [(gies,)-213(i.e.)-295(many)-204(dif)18(fer)18(ent)-204(discr)18(etization)-204(stencils;)-220(thus)-204(the)-204(description)-204(of)-204(the)-204(index)]TJ 0 -11.955 Td [(space)-277(is)-278(not)-277(completed)-278(until)-277(the)-277(user)-278(has)-277(de\002ned)-278(a)-277(sparsity)-278(p)1(attern,)-285(either)-277(ex-)]TJ 0 -11.955 Td [(plicitly)-263(thr)18(ough)]TJ/F62 9.9626 Tf 71.63 0 Td [(psb_cdins)]TJ/F57 9.9626 Tf 49.698 0 Td [(or)-264(im)1(plicitly)-264(thr)18(ough)]TJ/F62 9.9626 Tf 95.326 0 Td [(psb_spins)]TJ/F57 9.9626 Tf 47.073 0 Td [(.)-351(T)1(he)-264(descriptor)-263(is)]TJ -263.727 -11.955 Td [(\002nalized)-225(with)-225(a)-225(call)-226(to)]TJ/F62 9.9626 Tf 98.787 0 Td [(psb_cdasb)]TJ/F57 9.9626 Tf 49.316 0 Td [(and)-225(a)-225(sparse)-225(matrix)-226(with)-225(a)-225(call)-225(to)]TJ/F62 9.9626 Tf 146.044 0 Td [(psb_spasb)]TJ/F57 9.9626 Tf 47.073 0 Td [(.)]TJ -341.22 -11.955 Td [(After)]TJ/F62 9.9626 Tf 26.16 0 Td [(psb_cdasb)]TJ/F57 9.9626 Tf 50.21 0 Td [(each)-315(pr)18(ocess)]TJ/F55 9.9626 Tf 59.13 0 Td [(i)]TJ/F57 9.9626 Tf 6.101 0 Td [(will)-315(have)-315(de\002ned)-315(a)-314(set)-315(of)-315(\223halo\224)-315(\050or)-315(\223ghost\224\051)]TJ -141.601 -11.955 Td [(indices)]TJ/F55 9.9626 Tf 34.731 0 Td [(n)]TJ/F57 9.9626 Tf 5.663 -1.495 Td [(r)18(ow)]TJ/F55 5.9776 Tf 17.538 -1.648 Td [(i)]TJ/F88 10.3811 Tf 5.211 3.143 Td [(+)]TJ/F57 9.9626 Tf 10.506 0 Td [(1)-179(.)-192(.)-192(.)]TJ/F55 9.9626 Tf 19.967 0 Td [(n)]TJ/F57 9.9626 Tf 5.664 -3.831 Td [(col)]TJ/F55 5.9776 Tf 12.794 -1.648 Td [(i)]TJ/F57 9.9626 Tf 2.775 5.479 Td [(,)-377(denoting)-352(elements)-351(of)-352(the)-352(index)-351(space)-352(that)-351(ar)18(e)]TJ/F55 9.9626 Tf 215.582 0 Td [(not)]TJ/F57 9.9626 Tf -330.431 -13.79 Td [(assigned)-289(to)-290(pr)18(ocess)]TJ/F55 9.9626 Tf 88.744 0 Td [(i)]TJ/F57 9.9626 Tf 2.964 0 Td [(;)-309(however)-290(t)1(he)-290(variables)-289(associated)-290(with)-289(them)-290(ar)18(e)-289(needed)]TJ -91.708 -11.955 Td [(to)-289(complete)-289(computations)-289(associated)-289(with)-290(the)-289(sparse)-289(matrix)]TJ/F55 9.9626 Tf 269.662 0 Td [(A)]TJ/F57 9.9626 Tf 7.318 0 Td [(,)-299(and)-289(thus)-289(they)]TJ -276.98 -11.955 Td [(have)-266(to)-266(be)-266(fetched)-265(fr)18(om)-266(\050neighbouring\051)-266(pr)18(ocesses.)-358(The)-266(descriptor)-265(of)-266(the)-266(index)]TJ 0 -11.956 Td [(space)-294(is)-293(built)-294(exactly)-294(for)-293(the)-294(purpose)-294(of)-293(pr)18(operly)-294(sequencing)-294(the)-293(communica-)]TJ 0 -11.955 Td [(tion)-250(steps)-250(r)18(equir)18(ed)-250(to)-250(achieve)-250(this)-250(objective.)]TJ 14.944 -12.17 Td [(A)-197(simple)-197(application)-197(str)8(uctur)18(e)-197(will)-197(walk)-197(thr)18(ough)-197(the)-197(index)-197(space)-197(allocation,)]TJ -14.944 -11.956 Td [(matrix/vector)-250(cr)18(eation)-250(and)-250(linear)-250(system)-250(solution)-250(as)-250(follows:)]TJ
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  12.453 -20.571 Td [(1.)]TJ
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- [-500(Initialize)-250(parallel)-250(envir)18(onment)-250(with)]TJ/F59 9.9626 Tf 171.465 0 Td [(psb_init)]TJ
+ [-500(Initialize)-250(parallel)-250(envir)18(onment)-250(with)]TJ/F62 9.9626 Tf 171.465 0 Td [(psb_init)]TJ
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+/F57 9.9626 Tf -171.465 -20.787 Td [(2.)]TJ
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- [-500(Initialize)-250(index)-250(space)-250(with)]TJ/F59 9.9626 Tf 130.489 0 Td [(psb_cdall)]TJ
+ [-500(Initialize)-250(index)-250(space)-250(with)]TJ/F62 9.9626 Tf 130.489 0 Td [(psb_cdall)]TJ
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-/F54 9.9626 Tf -130.489 -20.788 Td [(3.)]TJ
+/F57 9.9626 Tf -130.489 -20.788 Td [(3.)]TJ
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- [-500(Allocate)-221(sparse)-221(matrix)-221(and)-221(dense)-221(vectors)-220(with)]TJ/F59 9.9626 Tf 215.843 0 Td [(psb_spall)]TJ/F54 9.9626 Tf 49.274 0 Td [(and)]TJ/F59 9.9626 Tf 19.068 0 Td [(psb_geall)]TJ
+ [-500(Allocate)-221(sparse)-221(matrix)-221(and)-221(dense)-221(vectors)-220(with)]TJ/F62 9.9626 Tf 215.843 0 Td [(psb_spall)]TJ/F57 9.9626 Tf 49.274 0 Td [(and)]TJ/F62 9.9626 Tf 19.068 0 Td [(psb_geall)]TJ
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-/F54 9.9626 Tf -284.185 -20.787 Td [(4.)]TJ
+/F57 9.9626 Tf -284.185 -20.787 Td [(4.)]TJ
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+ [-500(Loop)-320(over)-320(all)-320(local)-320(r)18(ows,)-338(generate)-320(matrix)-320(and)-320(vector)-320(entries,)-337(and)-320(insert)]TJ 12.454 -11.955 Td [(them)-250(with)]TJ/F62 9.9626 Tf 47.849 0 Td [(psb_spins)]TJ/F57 9.9626 Tf 49.564 0 Td [(and)]TJ/F62 9.9626 Tf 19.358 0 Td [(psb_geins)]TJ
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+/F57 9.9626 Tf -129.225 -20.787 Td [(5.)]TJ
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-/F59 9.9626 Tf 16.597 0 Td [(psb_cdasb)]TJ
+/F62 9.9626 Tf 16.597 0 Td [(psb_cdasb)]TJ
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-/F54 9.9626 Tf 122.541 -29.888 Td [(6)]TJ
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 ET
 
@@ -4859,61 +4859,61 @@ stream
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 BT
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-/F54 7.5716 Tf 52.303 3.616 Td [(3)]TJ
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-/F54 9.9626 Tf 4.284 -3.616 Td [(.)]TJ
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 1 0 0 1 268.951 129.989 cm
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@@ -4952,7 +4952,7 @@ stream
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@@ -4960,39 +4960,39 @@ BT
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+ [(\051\051)]TJ/F57 9.9626 Tf -52.303 -19.925 Td [(In)-253(this)-252(way)-253(the)-253(global)-253(communicati)1(on,)-254(which)-253(for)-252(small)-253(sizes)-253(is)-252(a)-253(latency-)]TJ 0 -11.955 Td [(bound)-250(operation,)-250(is)-250(invoked)-250(only)-250(once.)]TJ
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 BT
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 ET
 q
 1 0 0 1 198.238 706.328 cm
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 BT
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 ET
 q
 1 0 0 1 230.392 583.351 cm
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-/F54 9.9626 Tf 236.369 574.783 Td [(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ
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 ET
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 ET
 q
 1 0 0 1 373.603 563.027 cm
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-/F54 9.9626 Tf 376.592 562.828 Td [(gedots)]TJ -140.223 -11.956 Td [(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ
+/F57 9.9626 Tf 376.592 562.828 Td [(gedots)]TJ -140.223 -11.956 Td [(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ
 ET
 q
 1 0 0 1 373.603 551.072 cm
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-/F54 9.9626 Tf 376.592 550.872 Td [(gedots)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ
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 ET
 q
 1 0 0 1 373.603 539.116 cm
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-/F54 9.9626 Tf 376.592 538.917 Td [(gedots)]TJ
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 ET
 q
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@@ -9635,118 +9635,118 @@ q
 Q
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 BT
-/F54 9.9626 Tf 280.768 506.753 Td [(T)92(able)-250(3:)-310(Data)-250(types)]TJ
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 0 g 0 G
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 ET
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 Q
 BT
-/F59 9.9626 Tf 439.811 388.49 Td [(T)]TJ
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 ET
 q
 1 0 0 1 445.669 388.689 cm
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-/F59 9.9626 Tf 448.807 388.49 Td [(vect)]TJ
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 ET
 q
 1 0 0 1 470.356 388.689 cm
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-/F59 9.9626 Tf 473.495 388.49 Td [(type)]TJ
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 ET
 q
 1 0 0 1 436.673 297.738 cm
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 Q
 BT
-/F59 9.9626 Tf 439.811 297.539 Td [(T)]TJ
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 ET
 q
 1 0 0 1 445.669 297.738 cm
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 Q
 BT
-/F59 9.9626 Tf 448.807 297.539 Td [(vect)]TJ
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 ET
 q
 1 0 0 1 470.356 297.738 cm
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 Q
 BT
-/F59 9.9626 Tf 473.495 297.539 Td [(type)]TJ
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+ [(.)-500(The)-314(rank)-313(of)]TJ/F55 9.9626 Tf 274.898 0 Td [(y)]TJ/F57 9.9626 Tf 8.228 0 Td [(must)-313(be)]TJ -283.126 -11.955 Td [(the)-250(same)-250(of)]TJ/F55 9.9626 Tf 53.116 0 Td [(x)]TJ/F57 9.9626 Tf 5.205 0 Td [(.)]TJ
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 ET
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 1 0 0 1 171.218 254.607 cm
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 0 0 1 rg 0 0 1 RG
-/F59 9.9626 Tf 132.243 0 Td [(psb)]TJ
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 ET
 q
 1 0 0 1 324.173 206.786 cm
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 Q
 BT
-/F59 9.9626 Tf 327.311 206.587 Td [(desc)]TJ
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 ET
 q
 1 0 0 1 348.86 206.786 cm
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 Q
 BT
-/F59 9.9626 Tf 351.998 206.587 Td [(type)]TJ
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 0 g 0 G
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 ET
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 1 0 0 1 422.639 533.722 cm
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 1 0 0 1 470.356 362.508 cm
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+ [-500(The)-190(computation)-190(of)-190(a)-190(global)-190(r)18(esult)-190(r)18(equir)18(es)-190(a)-190(global)-190(communication,)-202(which)]TJ 12.453 -11.955 Td [(entails)-318(a)-318(signi\002cant)-318(over)18(head.)-513(It)-318(may)-318(be)-318(necessary)-318(and/or)-317(advisable)-318(to)]TJ 0 -11.955 Td [(compute)-333(multiple)-333(norms)-333(at)-332(the)-333(same)-333(time;)-374(in)-333(this)-333(case,)-354(it)-333(i)1(s)-333(possible)-333(to)]TJ 0 -11.955 Td [(impr)18(ove)-250(the)-250(r)8(untime)-250(ef)18(\002ciency)-250(by)-250(using)-250(the)-250(following)-250(scheme:)]TJ/F62 9.9626 Tf 20.922 -19.926 Td [(vres\050)]TJ
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  [(3)]TJ
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+ [(\051\051)]TJ/F57 9.9626 Tf -52.304 -19.926 Td [(In)-253(this)-252(way)-253(the)-253(global)-253(communication,)-253(which)-253(for)-252(small)-253(sizes)-253(is)-252(a)-253(latency-)]TJ 0 -11.955 Td [(bound)-250(operation,)-250(is)-250(invoked)-250(only)-250(once.)]TJ
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-/F51 11.9552 Tf 99.895 706.129 Td [(4.7)-1000(psb)]TJ
+/F54 11.9552 Tf 99.895 706.129 Td [(4.7)-1000(psb)]TJ
 ET
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+/F54 11.9552 Tf 151.016 706.129 Td [(geasums)-250(\227)-250(Generalized)-250(1-Norm)-250(of)-250(V)111(ector)]TJ/F57 9.9626 Tf -51.121 -20.192 Td [(This)-216(subr)18(outine)-217(computes)-216(a)-217(series)-216(of)-216(1-norms)-217(on)-216(the)-217(columns)-216(of)-216(a)-217(dense)-216(matrix)]TJ/F55 9.9626 Tf 0.294 -11.955 Td [(x)]TJ/F57 9.9626 Tf 5.206 0 Td [(:)]TJ/F55 9.9626 Tf 120.031 -13.856 Td [(r)-17(e)-25(s)]TJ/F88 10.3811 Tf 12.293 0 Td [(\050)]TJ/F55 9.9626 Tf 4.205 0 Td [(i)]TJ/F88 10.3811 Tf 3.088 0 Td [(\051)]TJ/F86 10.3811 Tf 7.041 0 Td [(\040)]TJ/F57 9.9626 Tf 13.273 0 Td [(max)]TJ/F55 7.5716 Tf 7.76 -7.335 Td [(k)]TJ/F86 10.3811 Tf 12.944 7.335 Td [(j)]TJ/F55 9.9626 Tf 3.298 0 Td [(x)]TJ/F88 10.3811 Tf 5.33 0 Td [(\050)]TJ/F55 9.9626 Tf 4.273 0 Td [(k)]TJ/F57 9.9626 Tf 4.598 0 Td [(,)]TJ/F55 9.9626 Tf 4.206 0 Td [(i)]TJ/F88 10.3811 Tf 3.088 0 Td [(\051)]TJ/F86 10.3811 Tf 4.274 0 Td [(j)]TJ/F57 9.9626 Tf -215.202 -24.535 Td [(This)-250(function)-250(computes)-250(the)-250(1-norm)-250(of)-250(a)-250(vector)]TJ/F55 9.9626 Tf 206.349 0 Td [(x)]TJ/F57 9.9626 Tf 5.205 0 Td [(.)]TJ -211.554 -11.955 Td [(If)]TJ/F55 9.9626 Tf 9.46 0 Td [(x)]TJ/F57 9.9626 Tf 7.696 0 Td [(is)-250(a)-250(r)18(eal)-250(vector)-250(it)-250(computes)-250(1-norm)-250(as:)]TJ/F55 9.9626 Tf 125.227 -23.185 Td [(r)-17(e)-25(s)]TJ/F88 10.3811 Tf 12.293 0 Td [(\050)]TJ/F55 9.9626 Tf 4.205 0 Td [(i)]TJ/F88 10.3811 Tf 3.088 0 Td [(\051)]TJ/F86 10.3811 Tf 7.041 0 Td [(\040)-291(k)]TJ/F55 9.9626 Tf 19.007 0 Td [(x)]TJ/F55 7.5716 Tf 5.147 -1.96 Td [(i)]TJ/F86 10.3811 Tf 2.875 1.96 Td [(k)]TJ/F57 9.9626 Tf -196.039 -23.185 Td [(else)-250(if)]TJ/F55 9.9626 Tf 28.159 0 Td [(x)]TJ/F57 9.9626 Tf 7.696 0 Td [(is)-250(a)-250(complex)-250(vector)-250(then)-250(it)-250(computes)-250(1-norm)-250(as:)]TJ/F55 9.9626 Tf 71.212 -23.185 Td [(r)-17(e)-25(s)]TJ/F88 10.3811 Tf 12.294 0 Td [(\050)]TJ/F55 9.9626 Tf 4.204 0 Td [(i)]TJ/F88 10.3811 Tf 3.089 0 Td [(\051)]TJ/F86 10.3811 Tf 7.041 0 Td [(\040)-291(k)]TJ/F55 9.9626 Tf 18.737 0 Td [(r)-17(e)]TJ/F88 10.3811 Tf 8.169 0 Td [(\050)]TJ/F55 9.9626 Tf 4.444 0 Td [(x)]TJ/F88 10.3811 Tf 5.33 0 Td [(\051)]TJ/F86 10.3811 Tf 4.274 0 Td [(k)]TJ/F57 7.5716 Tf 5.315 -1.858 Td [(1)]TJ/F88 10.3811 Tf 6.345 1.858 Td [(+)]TJ/F86 10.3811 Tf 10.256 0 Td [(k)]TJ/F55 9.9626 Tf 5.37 0 Td [(i)-32(m)]TJ/F88 10.3811 Tf 11.088 0 Td [(\050)]TJ/F55 9.9626 Tf 4.443 0 Td [(x)]TJ/F88 10.3811 Tf 5.33 0 Td [(\051)]TJ/F86 10.3811 Tf 4.274 0 Td [(k)]TJ/F57 7.5716 Tf 5.315 -1.858 Td [(1)]TJ
 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG
-/F59 9.9626 Tf -212.21 -21.96 Td [(call)]TJ
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 0 g 0 G
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@@ -10442,42 +10442,42 @@ q
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 Q
 BT
-/F52 9.9626 Tf 132.33 506.059 Td [(r)-17(e)-25(s)-8868(x)]TJ/F51 9.9626 Tf 221.014 0 Td [(Subroutine)]TJ
+/F55 9.9626 Tf 132.33 506.059 Td [(r)-17(e)-25(s)-8868(x)]TJ/F54 9.9626 Tf 221.014 0 Td [(Subroutine)]TJ
 ET
 q
 1 0 0 1 126.328 502.274 cm
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 Q
 BT
-/F54 9.9626 Tf 132.305 493.706 Td [(Short)-250(Pr)18(ecision)-250(Real)-1200(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ
+/F57 9.9626 Tf 132.305 493.706 Td [(Short)-250(Pr)18(ecision)-250(Real)-1200(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ
 ET
 q
 1 0 0 1 369.663 493.905 cm
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 Q
 BT
-/F54 9.9626 Tf 372.651 493.706 Td [(geasums)]TJ -240.346 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-1279(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ
+/F57 9.9626 Tf 372.651 493.706 Td [(geasums)]TJ -240.346 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-1279(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ
 ET
 q
 1 0 0 1 369.663 481.95 cm
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 BT
-/F54 9.9626 Tf 372.651 481.751 Td [(geasums)]TJ -240.346 -11.956 Td [(Short)-250(Pr)18(ecision)-250(Real)-1200(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ
+/F57 9.9626 Tf 372.651 481.751 Td [(geasums)]TJ -240.346 -11.956 Td [(Short)-250(Pr)18(ecision)-250(Real)-1200(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ
 ET
 q
 1 0 0 1 369.663 469.995 cm
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 BT
-/F54 9.9626 Tf 372.651 469.795 Td [(geasums)]TJ -240.346 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-1279(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ
+/F57 9.9626 Tf 372.651 469.795 Td [(geasums)]TJ -240.346 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-1279(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ
 ET
 q
 1 0 0 1 369.663 458.04 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F54 9.9626 Tf 372.651 457.84 Td [(geasums)]TJ
+/F57 9.9626 Tf 372.651 457.84 Td [(geasums)]TJ
 ET
 q
 1 0 0 1 126.328 454.054 cm
@@ -10485,85 +10485,85 @@ q
 Q
 0 g 0 G
 BT
-/F54 9.9626 Tf 229.958 425.676 Td [(T)92(able)-250(7:)-310(Data)-250(types)]TJ
+/F57 9.9626 Tf 229.958 425.676 Td [(T)92(able)-250(7:)-310(Data)-250(types)]TJ
 0 g 0 G
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-/F51 9.9626 Tf -130.063 -37.636 Td [(T)90(ype:)]TJ
+/F54 9.9626 Tf -130.063 -37.636 Td [(T)90(ype:)]TJ
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-/F54 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ
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-/F51 9.9626 Tf -29.828 -22.46 Td [(On)-250(Entry)]TJ
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-/F59 9.9626 Tf 244.743 0 Td [(psb)]TJ
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 ET
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 1 0 0 1 385.864 295.5 cm
 []0 d 0 J 0.398 w 0 0 m 3.138 0 l S
 Q
 BT
-/F59 9.9626 Tf 389.002 295.3 Td [(T)]TJ
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 ET
 q
 1 0 0 1 394.86 295.5 cm
 []0 d 0 J 0.398 w 0 0 m 3.138 0 l S
 Q
 BT
-/F59 9.9626 Tf 397.998 295.3 Td [(vect)]TJ
+/F62 9.9626 Tf 397.998 295.3 Td [(vect)]TJ
 ET
 q
 1 0 0 1 419.547 295.5 cm
 []0 d 0 J 0.398 w 0 0 m 3.138 0 l S
 Q
 BT
-/F59 9.9626 Tf 422.685 295.3 Td [(type)]TJ
+/F62 9.9626 Tf 422.685 295.3 Td [(type)]TJ
 0 g 0 G
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  [(.)]TJ
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-/F51 9.9626 Tf -24.907 -22.459 Td [(desc)]TJ
+/F54 9.9626 Tf -24.907 -22.459 Td [(desc)]TJ
 ET
 q
 1 0 0 1 120.408 261.085 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F51 9.9626 Tf 123.397 260.886 Td [(a)]TJ
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 0 g 0 G
-/F54 9.9626 Tf 9.963 0 Td [(contains)-250(data)-250(str)8(uctur)18(es)-250(for)-250(communications.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.956 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(object)-250(of)-250(type)]TJ
+/F57 9.9626 Tf 9.963 0 Td [(contains)-250(data)-250(str)8(uctur)18(es)-250(for)-250(communications.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.956 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(object)-250(of)-250(type)]TJ
 0 0 1 rg 0 0 1 RG
-/F59 9.9626 Tf 132.243 0 Td [(psb)]TJ
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 ET
 q
 1 0 0 1 273.363 213.264 cm
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 Q
 BT
-/F59 9.9626 Tf 276.501 213.065 Td [(desc)]TJ
+/F62 9.9626 Tf 276.501 213.065 Td [(desc)]TJ
 ET
 q
 1 0 0 1 298.05 213.264 cm
 []0 d 0 J 0.398 w 0 0 m 3.138 0 l S
 Q
 BT
-/F59 9.9626 Tf 301.189 213.065 Td [(type)]TJ
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 0 g 0 G
-/F54 9.9626 Tf 20.921 0 Td [(.)]TJ
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-/F51 9.9626 Tf -222.215 -22.459 Td [(On)-250(Return)]TJ
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-/F51 11.9552 Tf 156.993 706.129 Td [(normi)-250(\227)-250(In\002nity)-250(Norm)-250(of)-250(Sparse)-250(Matrix)]TJ/F54 9.9626 Tf -57.098 -18.964 Td [(This)-250(function)-250(computes)-250(the)-250(in\002nity-norm)-250(of)-250(a)-250(matrix)]TJ/F52 9.9626 Tf 235.459 0 Td [(A)]TJ/F54 9.9626 Tf 7.318 0 Td [(:)]TJ/F52 9.9626 Tf -102.327 -33.873 Td [(n)-15(r)-35(m)-18(i)]TJ/F83 10.3811 Tf 23.698 0 Td [(\040)-291(k)]TJ/F52 9.9626 Tf 19.336 0 Td [(A)]TJ/F83 10.3811 Tf 7.442 0 Td [(k)]TJ/F96 7.5716 Tf 5.409 -1.494 Td [(\245)]TJ/F54 9.9626 Tf -196.335 -20.424 Td [(wher)18(e:)]TJ
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 0 g 0 G
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-/F54 9.9626 Tf 12.299 0 Td [(r)18(epr)18(esents)-250(the)-250(global)-250(matrix)]TJ/F52 9.9626 Tf 125.981 0 Td [(A)]TJ
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-/F52 9.9626 Tf 186.442 579.947 Td [(A)]TJ/F51 9.9626 Tf 120.292 0 Td [(Function)]TJ
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 ET
 q
 1 0 0 1 179.842 576.161 cm
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-/F54 9.9626 Tf 185.819 567.594 Td [(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ
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 ET
 q
 1 0 0 1 323.053 567.793 cm
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-/F54 9.9626 Tf 326.042 567.594 Td [(spnrmi)]TJ -140.223 -11.956 Td [(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ
+/F57 9.9626 Tf 326.042 567.594 Td [(spnrmi)]TJ -140.223 -11.956 Td [(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ
 ET
 q
 1 0 0 1 323.053 555.838 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
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-/F54 9.9626 Tf 326.042 555.638 Td [(spnrmi)]TJ -140.223 -11.955 Td [(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ
+/F57 9.9626 Tf 326.042 555.638 Td [(spnrmi)]TJ -140.223 -11.955 Td [(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ
 ET
 q
 1 0 0 1 323.053 543.882 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
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-/F54 9.9626 Tf 326.042 543.683 Td [(spnrmi)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ
+/F57 9.9626 Tf 326.042 543.683 Td [(spnrmi)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ
 ET
 q
 1 0 0 1 323.053 531.927 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F54 9.9626 Tf 326.042 531.728 Td [(spnrmi)]TJ
+/F57 9.9626 Tf 326.042 531.728 Td [(spnrmi)]TJ
 ET
 q
 1 0 0 1 179.842 527.942 cm
@@ -11884,81 +11884,81 @@ q
 Q
 0 g 0 G
 BT
-/F54 9.9626 Tf 227.467 499.564 Td [(T)92(able)-250(11:)-310(Data)-250(types)]TJ
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 0 g 0 G
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-/F59 9.9626 Tf -127.572 -33.873 Td [(psb_spnrmi\050A,)-525(desc_a,)-525(info\051)]TJ 0 -11.955 Td [(psb_normi\050A,)-525(desc_a,)-525(info\051)]TJ
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-/F51 9.9626 Tf 0 -21.918 Td [(T)90(ype:)]TJ
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 0 g 0 G
-/F54 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ
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 0 g 0 G
-/F51 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ
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  0 -19.926 Td [(a)]TJ
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-/F54 9.9626 Tf 9.963 0 Td [(the)-250(local)-250(portion)-250(of)-250(the)-250(global)-250(sparse)-250(matrix)]TJ/F52 9.9626 Tf 194.722 0 Td [(A)]TJ/F54 9.9626 Tf 7.318 0 Td [(.)]TJ -187.096 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(object)-250(of)-250(type)]TJ
+/F57 9.9626 Tf 9.963 0 Td [(the)-250(local)-250(portion)-250(of)-250(the)-250(global)-250(sparse)-250(matrix)]TJ/F55 9.9626 Tf 194.722 0 Td [(A)]TJ/F57 9.9626 Tf 7.318 0 Td [(.)]TJ -187.096 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(object)-250(of)-250(type)]TJ
 0 0 1 rg 0 0 1 RG
-/F59 9.9626 Tf 132.243 0 Td [(psb)]TJ
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 ET
 q
 1 0 0 1 273.363 344.346 cm
 []0 d 0 J 0.398 w 0 0 m 3.138 0 l S
 Q
 BT
-/F59 9.9626 Tf 276.501 344.147 Td [(Tspmat)]TJ
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 ET
 q
 1 0 0 1 308.511 344.346 cm
 []0 d 0 J 0.398 w 0 0 m 3.138 0 l S
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-/F59 9.9626 Tf 311.649 344.147 Td [(type)]TJ
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 0 g 0 G
-/F54 9.9626 Tf 20.922 0 Td [(.)]TJ
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 0 g 0 G
-/F51 9.9626 Tf -232.676 -19.926 Td [(desc)]TJ
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 ET
 q
 1 0 0 1 120.408 324.421 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F51 9.9626 Tf 123.397 324.221 Td [(a)]TJ
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 0 g 0 G
-/F54 9.9626 Tf 9.963 0 Td [(contains)-250(data)-250(str)8(uctur)18(es)-250(for)-250(communications.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(object)-250(of)-250(type)]TJ
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 0 0 1 rg 0 0 1 RG
-/F59 9.9626 Tf 132.243 0 Td [(psb)]TJ
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 ET
 q
 1 0 0 1 273.363 276.6 cm
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 Q
 BT
-/F59 9.9626 Tf 276.501 276.401 Td [(desc)]TJ
+/F62 9.9626 Tf 276.501 276.401 Td [(desc)]TJ
 ET
 q
 1 0 0 1 298.05 276.6 cm
 []0 d 0 J 0.398 w 0 0 m 3.138 0 l S
 Q
 BT
-/F59 9.9626 Tf 301.189 276.401 Td [(type)]TJ
+/F62 9.9626 Tf 301.189 276.401 Td [(type)]TJ
 0 g 0 G
-/F54 9.9626 Tf 20.921 0 Td [(.)]TJ
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 0 g 0 G
-/F51 9.9626 Tf -222.215 -19.926 Td [(On)-250(Return)]TJ
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 0 g 0 G
 0 g 0 G
  0 -19.925 Td [(Function)-250(value)]TJ
 0 g 0 G
-/F54 9.9626 Tf 72.777 0 Td [(is)-250(the)-250(in\002nity-norm)-250(of)-250(sparse)-250(submatrix)]TJ/F52 9.9626 Tf 177.627 0 Td [(A)]TJ/F54 9.9626 Tf 7.317 0 Td [(.)]TJ -232.814 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(global)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(long)-250(pr)18(ecision)-250(r)18(eal)-250(number)74(.)]TJ
+/F57 9.9626 Tf 72.777 0 Td [(is)-250(the)-250(in\002nity-norm)-250(of)-250(sparse)-250(submatrix)]TJ/F55 9.9626 Tf 177.627 0 Td [(A)]TJ/F57 9.9626 Tf 7.317 0 Td [(.)]TJ -232.814 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(global)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(long)-250(pr)18(ecision)-250(r)18(eal)-250(number)74(.)]TJ
 0 g 0 G
-/F51 9.9626 Tf -24.907 -19.926 Td [(info)]TJ
+/F54 9.9626 Tf -24.907 -19.926 Td [(info)]TJ
 0 g 0 G
-/F54 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ
+/F57 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(out)]TJ/F57 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ
 0 g 0 G
  141.968 -54.456 Td [(47)]TJ
 0 g 0 G
@@ -11974,38 +11974,38 @@ stream
 0 g 0 G
 0 g 0 G
 BT
-/F51 11.9552 Tf 150.705 706.129 Td [(4.12)-1000(psb)]TJ
+/F54 11.9552 Tf 150.705 706.129 Td [(4.12)-1000(psb)]TJ
 ET
 q
 1 0 0 1 204.216 706.328 cm
 []0 d 0 J 0.398 w 0 0 m 3.587 0 l S
 Q
 BT
-/F51 11.9552 Tf 207.803 706.129 Td [(spmm)-250(\227)-250(Sparse)-250(Matrix)-250(by)-250(Dense)-250(Matrix)-250(Product)]TJ/F54 9.9626 Tf -57.098 -19.303 Td [(This)-250(subr)18(outine)-250(computes)-250(the)-250(Sparse)-250(Matrix)-250(by)-250(Dense)-250(Matrix)-250(Pr)18(oduct:)]TJ/F52 9.9626 Tf 140.147 -24.611 Td [(y)]TJ/F83 10.3811 Tf 7.998 0 Td [(\040)]TJ/F60 9.9626 Tf 13.397 0 Td [(a)]TJ/F52 9.9626 Tf 6.008 0 Td [(A)-42(x)]TJ/F85 10.3811 Tf 14.878 0 Td [(+)]TJ/F60 9.9626 Tf 10.505 0 Td [(b)]TJ/F52 9.9626 Tf 5.649 0 Td [(y)]TJ
+/F54 11.9552 Tf 207.803 706.129 Td [(spmm)-250(\227)-250(Sparse)-250(Matrix)-250(by)-250(Dense)-250(Matrix)-250(Product)]TJ/F57 9.9626 Tf -57.098 -19.303 Td [(This)-250(subr)18(outine)-250(computes)-250(the)-250(Sparse)-250(Matrix)-250(by)-250(Dense)-250(Matrix)-250(Pr)18(oduct:)]TJ/F55 9.9626 Tf 140.147 -24.611 Td [(y)]TJ/F86 10.3811 Tf 7.998 0 Td [(\040)]TJ/F63 9.9626 Tf 13.397 0 Td [(a)]TJ/F55 9.9626 Tf 6.008 0 Td [(A)-42(x)]TJ/F88 10.3811 Tf 14.878 0 Td [(+)]TJ/F63 9.9626 Tf 10.505 0 Td [(b)]TJ/F55 9.9626 Tf 5.649 0 Td [(y)]TJ
 0 g 0 G
-/F54 9.9626 Tf 133.513 0 Td [(\0501\051)]TJ
+/F57 9.9626 Tf 133.513 0 Td [(\0501\051)]TJ
 0 g 0 G
-/F52 9.9626 Tf -194.745 -20.13 Td [(y)]TJ/F83 10.3811 Tf 7.998 0 Td [(\040)]TJ/F60 9.9626 Tf 13.398 0 Td [(a)]TJ/F52 9.9626 Tf 6.007 0 Td [(A)]TJ/F52 7.5716 Tf 7.511 4.115 Td [(T)]TJ/F52 9.9626 Tf 5.694 -4.115 Td [(x)]TJ/F85 10.3811 Tf 7.267 0 Td [(+)]TJ/F60 9.9626 Tf 10.505 0 Td [(b)]TJ/F52 9.9626 Tf 5.649 0 Td [(y)]TJ
+/F55 9.9626 Tf -194.745 -20.13 Td [(y)]TJ/F86 10.3811 Tf 7.998 0 Td [(\040)]TJ/F63 9.9626 Tf 13.398 0 Td [(a)]TJ/F55 9.9626 Tf 6.007 0 Td [(A)]TJ/F55 7.5716 Tf 7.511 4.115 Td [(T)]TJ/F55 9.9626 Tf 5.694 -4.115 Td [(x)]TJ/F88 10.3811 Tf 7.267 0 Td [(+)]TJ/F63 9.9626 Tf 10.505 0 Td [(b)]TJ/F55 9.9626 Tf 5.649 0 Td [(y)]TJ
 0 g 0 G
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 0 g 0 G
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+/F55 9.9626 Tf -195.482 -20.129 Td [(y)]TJ/F86 10.3811 Tf 7.998 0 Td [(\040)]TJ/F63 9.9626 Tf 13.397 0 Td [(a)]TJ/F55 9.9626 Tf 6.008 0 Td [(A)]TJ/F55 7.5716 Tf 7.7 4.114 Td [(H)]TJ/F55 9.9626 Tf 6.981 -4.114 Td [(x)]TJ/F88 10.3811 Tf 7.267 0 Td [(+)]TJ/F63 9.9626 Tf 10.505 0 Td [(b)]TJ/F55 9.9626 Tf 5.649 0 Td [(y)]TJ
 0 g 0 G
-/F54 9.9626 Tf 129.977 0 Td [(\0503\051)]TJ
+/F57 9.9626 Tf 129.977 0 Td [(\0503\051)]TJ
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 0 g 0 G
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+/F57 9.9626 Tf 10.186 0 Td [(is)-250(the)-250(global)-250(dense)-250(matrix)]TJ/F55 9.9626 Tf 115.61 0 Td [(x)]TJ/F57 7.5716 Tf 5.201 -1.494 Td [(:)-12(,)-13(:)]TJ
 0 g 0 G
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+/F55 9.9626 Tf -131.167 -19.132 Td [(y)]TJ
 0 g 0 G
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+/F57 9.9626 Tf 10.087 0 Td [(is)-250(the)-250(global)-250(dense)-250(matrix)]TJ/F55 9.9626 Tf 115.441 0 Td [(y)]TJ/F57 7.5716 Tf 5.2 -1.494 Td [(:)-13(,)-12(:)]TJ
 0 g 0 G
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+/F55 9.9626 Tf -130.23 -19.131 Td [(A)]TJ
 0 g 0 G
-/F54 9.9626 Tf 12.299 0 Td [(is)-250(the)-250(global)-250(sparse)-250(matrix)]TJ/F52 9.9626 Tf 118.41 0 Td [(A)]TJ
+/F57 9.9626 Tf 12.299 0 Td [(is)-250(the)-250(global)-250(sparse)-250(matrix)]TJ/F55 9.9626 Tf 118.41 0 Td [(A)]TJ
 0 g 0 G
 0 g 0 G
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@@ -12015,42 +12015,42 @@ q
 []0 d 0 J 0.398 w 0 0 m 184.337 0 l S
 Q
 BT
-/F52 9.9626 Tf 236.992 509.418 Td [(A)]TJ/F54 9.9626 Tf 7.318 0 Td [(,)]TJ/F52 9.9626 Tf 5.275 0 Td [(x)]TJ/F54 9.9626 Tf 5.205 0 Td [(,)]TJ/F52 9.9626 Tf 5.106 0 Td [(y)]TJ/F54 9.9626 Tf 5.106 0 Td [(,)]TJ/F60 9.9626 Tf 5.106 0 Td [(a)]TJ/F54 9.9626 Tf 5.385 0 Td [(,)]TJ/F60 9.9626 Tf 5.355 0 Td [(b)]TJ/F51 9.9626 Tf 76.437 0 Td [(Subroutine)]TJ
+/F55 9.9626 Tf 236.992 509.418 Td [(A)]TJ/F57 9.9626 Tf 7.318 0 Td [(,)]TJ/F55 9.9626 Tf 5.275 0 Td [(x)]TJ/F57 9.9626 Tf 5.205 0 Td [(,)]TJ/F55 9.9626 Tf 5.106 0 Td [(y)]TJ/F57 9.9626 Tf 5.106 0 Td [(,)]TJ/F63 9.9626 Tf 5.106 0 Td [(a)]TJ/F57 9.9626 Tf 5.385 0 Td [(,)]TJ/F63 9.9626 Tf 5.355 0 Td [(b)]TJ/F54 9.9626 Tf 76.437 0 Td [(Subroutine)]TJ
 ET
 q
 1 0 0 1 230.392 505.633 cm
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 Q
 BT
-/F54 9.9626 Tf 236.369 497.065 Td [(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ
+/F57 9.9626 Tf 236.369 497.065 Td [(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ
 ET
 q
 1 0 0 1 373.603 497.264 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
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-/F59 9.9626 Tf 439.811 144.236 Td [(T)]TJ
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 1 0 0 1 445.669 144.435 cm
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 1 0 0 1 470.356 144.435 cm
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 ET
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 1 0 0 1 273.363 501.762 cm
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  [-250(3)]TJ
 0 g 0 G
- -45.878 -18.597 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(global)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(optional)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Default:)]TJ/F52 9.9626 Tf 38.64 0 Td [(t)-15(r)-50(a)-25(n)-25(s)]TJ/F85 10.3811 Tf 25.193 0 Td [(=)]TJ/F52 9.9626 Tf 11.434 0 Td [(N)]TJ/F54 9.9626 Tf -75.267 -11.956 Td [(Speci\002ed)-250(as:)-310(a)-250(character)-250(variable.)]TJ
+ -45.878 -18.597 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(global)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(optional)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Default:)]TJ/F55 9.9626 Tf 38.64 0 Td [(t)-15(r)-50(a)-25(n)-25(s)]TJ/F88 10.3811 Tf 25.193 0 Td [(=)]TJ/F55 9.9626 Tf 11.434 0 Td [(N)]TJ/F57 9.9626 Tf -75.267 -11.956 Td [(Speci\002ed)-250(as:)-310(a)-250(character)-250(variable.)]TJ
 0 g 0 G
-/F51 9.9626 Tf -24.907 -18.596 Td [(work)]TJ
+/F54 9.9626 Tf -24.907 -18.596 Td [(work)]TJ
 0 g 0 G
-/F54 9.9626 Tf 28.782 0 Td [(work)-250(array)111(.)]TJ -3.875 -11.956 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(optional)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(inout)]TJ/F54 9.9626 Tf 24.349 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-270(as:)-351(a)-270(rank)-270(one)-270(array)-271(of)-270(the)-270(same)-270(type)-271(of)]TJ/F52 9.9626 Tf 220.875 0 Td [(x)]TJ/F54 9.9626 Tf 7.898 0 Td [(and)]TJ/F52 9.9626 Tf 19.684 0 Td [(y)]TJ/F54 9.9626 Tf 7.798 0 Td [(with)-270(the)-270(T)74(AR-)]TJ -256.255 -11.955 Td [(GET)-250(attribute.)]TJ
+/F57 9.9626 Tf 28.782 0 Td [(work)-250(array)111(.)]TJ -3.875 -11.956 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(optional)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(inout)]TJ/F57 9.9626 Tf 24.349 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-270(as:)-351(a)-270(rank)-270(one)-270(array)-271(of)-270(the)-270(same)-270(type)-271(of)]TJ/F55 9.9626 Tf 220.875 0 Td [(x)]TJ/F57 9.9626 Tf 7.898 0 Td [(and)]TJ/F55 9.9626 Tf 19.684 0 Td [(y)]TJ/F57 9.9626 Tf 7.798 0 Td [(with)-270(the)-270(T)74(AR-)]TJ -256.255 -11.955 Td [(GET)-250(attribute.)]TJ
 0 g 0 G
-/F51 9.9626 Tf -24.907 -18.597 Td [(On)-250(Return)]TJ
+/F54 9.9626 Tf -24.907 -18.597 Td [(On)-250(Return)]TJ
 0 g 0 G
 0 g 0 G
  0 -18.597 Td [(y)]TJ
 0 g 0 G
-/F54 9.9626 Tf 10.521 0 Td [(the)-250(local)-250(portion)-250(of)-250(r)18(esult)-250(matrix)]TJ/F52 9.9626 Tf 144.939 0 Td [(y)]TJ/F54 9.9626 Tf 5.106 0 Td [(.)]TJ -135.659 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(inout)]TJ/F54 9.9626 Tf 24.349 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-379(as:)-568(an)-379(array)-379(of)-379(rank)-379(one)-379(or)-379(two)-379(containing)-379(numbers)-379(of)-379(type)]TJ 0 -11.955 Td [(speci\002ed)-250(in)-250(T)92(able)]TJ
+/F57 9.9626 Tf 10.521 0 Td [(the)-250(local)-250(portion)-250(of)-250(r)18(esult)-250(matrix)]TJ/F55 9.9626 Tf 144.939 0 Td [(y)]TJ/F57 9.9626 Tf 5.106 0 Td [(.)]TJ -135.659 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(inout)]TJ/F57 9.9626 Tf 24.349 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-379(as:)-568(an)-379(array)-379(of)-379(rank)-379(one)-379(or)-379(two)-379(containing)-379(numbers)-379(of)-379(type)]TJ 0 -11.955 Td [(speci\002ed)-250(in)-250(T)92(able)]TJ
 0 0 1 rg 0 0 1 RG
  [-250(12)]TJ
 0 g 0 G
  [(.)]TJ
 0 g 0 G
-/F51 9.9626 Tf -24.907 -18.597 Td [(info)]TJ
+/F54 9.9626 Tf -24.907 -18.597 Td [(info)]TJ
 0 g 0 G
-/F54 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.956 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ
+/F57 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(out)]TJ/F57 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.956 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ
 0 g 0 G
  141.968 -36.529 Td [(49)]TJ
 0 g 0 G
@@ -12284,32 +12284,32 @@ stream
 0 g 0 G
 0 g 0 G
 BT
-/F51 11.9552 Tf 150.705 706.129 Td [(4.13)-1000(psb)]TJ
+/F54 11.9552 Tf 150.705 706.129 Td [(4.13)-1000(psb)]TJ
 ET
 q
 1 0 0 1 204.216 706.328 cm
 []0 d 0 J 0.398 w 0 0 m 3.587 0 l S
 Q
 BT
-/F51 11.9552 Tf 207.803 706.129 Td [(spsm)-250(\227)-250(T)111(riangular)-250(System)-250(Solve)]TJ/F54 9.9626 Tf -57.098 -19.83 Td [(This)-250(subr)18(outine)-250(computes)-250(the)-250(T)90(riangular)-250(System)-250(Solve:)]TJ/F52 9.9626 Tf 122.724 -35.213 Td [(y)]TJ/F83 10.3811 Tf 15.193 0 Td [(\040)]TJ/F60 9.9626 Tf 20.593 0 Td [(a)]TJ/F52 9.9626 Tf 5.639 0 Td [(T)]TJ/F83 7.8896 Tf 6.545 4.115 Td [(\000)]TJ/F54 7.5716 Tf 6.228 0 Td [(1)]TJ/F52 9.9626 Tf 4.577 -4.115 Td [(x)]TJ/F85 10.3811 Tf 7.267 0 Td [(+)]TJ/F60 9.9626 Tf 10.505 0 Td [(b)]TJ/F52 9.9626 Tf 5.649 0 Td [(y)]TJ -82.196 -16.139 Td [(y)]TJ/F83 10.3811 Tf 15.193 0 Td [(\040)]TJ/F60 9.9626 Tf 20.593 0 Td [(a)]TJ/F52 9.9626 Tf 5.708 0 Td [(D)-48(T)]TJ/F83 7.8896 Tf 14.775 4.114 Td [(\000)]TJ/F54 7.5716 Tf 6.227 0 Td [(1)]TJ/F52 9.9626 Tf 4.578 -4.114 Td [(x)]TJ/F85 10.3811 Tf 7.267 0 Td [(+)]TJ/F60 9.9626 Tf 10.505 0 Td [(b)]TJ/F52 9.9626 Tf 5.649 0 Td [(y)]TJ -90.495 -16.139 Td [(y)]TJ/F83 10.3811 Tf 15.193 0 Td [(\040)]TJ/F60 9.9626 Tf 20.593 0 Td [(a)]TJ/F52 9.9626 Tf 5.639 0 Td [(T)]TJ/F83 7.8896 Tf 6.545 4.114 Td [(\000)]TJ/F54 7.5716 Tf 6.228 0 Td [(1)]TJ/F52 9.9626 Tf 4.607 -4.114 Td [(D)-52(x)]TJ/F85 10.3811 Tf 15.536 0 Td [(+)]TJ/F60 9.9626 Tf 10.505 0 Td [(b)]TJ/F52 9.9626 Tf 5.649 0 Td [(y)]TJ -90.495 -16.09 Td [(y)]TJ/F83 10.3811 Tf 15.193 0 Td [(\040)]TJ/F60 9.9626 Tf 20.593 0 Td [(a)]TJ/F52 9.9626 Tf 5.639 0 Td [(T)]TJ/F83 7.8896 Tf 6.545 4.114 Td [(\000)]TJ/F52 7.5716 Tf 6.421 0 Td [(T)]TJ/F52 9.9626 Tf 5.694 -4.114 Td [(x)]TJ/F85 10.3811 Tf 7.267 0 Td [(+)]TJ/F60 9.9626 Tf 10.505 0 Td [(b)]TJ/F52 9.9626 Tf 5.649 0 Td [(y)]TJ -83.506 -16.09 Td [(y)]TJ/F83 10.3811 Tf 15.193 0 Td [(\040)]TJ/F60 9.9626 Tf 20.593 0 Td [(a)]TJ/F52 9.9626 Tf 5.708 0 Td [(D)-48(T)]TJ/F83 7.8896 Tf 14.775 4.114 Td [(\000)]TJ/F52 7.5716 Tf 6.42 0 Td [(T)]TJ/F52 9.9626 Tf 5.695 -4.114 Td [(x)]TJ/F85 10.3811 Tf 7.267 0 Td [(+)]TJ/F60 9.9626 Tf 10.505 0 Td [(b)]TJ/F52 9.9626 Tf 5.649 0 Td [(y)]TJ -91.805 -16.09 Td [(y)]TJ/F83 10.3811 Tf 15.193 0 Td [(\040)]TJ/F60 9.9626 Tf 20.593 0 Td [(a)]TJ/F52 9.9626 Tf 5.639 0 Td [(T)]TJ/F83 7.8896 Tf 6.545 4.114 Td [(\000)]TJ/F52 7.5716 Tf 6.421 0 Td [(T)]TJ/F52 9.9626 Tf 5.724 -4.114 Td [(D)-52(x)]TJ/F85 10.3811 Tf 15.536 0 Td [(+)]TJ/F60 9.9626 Tf 10.505 0 Td [(b)]TJ/F52 9.9626 Tf 5.649 0 Td [(y)]TJ -91.805 -16.091 Td [(y)]TJ/F83 10.3811 Tf 15.193 0 Td [(\040)]TJ/F60 9.9626 Tf 20.593 0 Td [(a)]TJ/F52 9.9626 Tf 5.639 0 Td [(T)]TJ/F83 7.8896 Tf 6.545 4.115 Td [(\000)]TJ/F52 7.5716 Tf 6.61 0 Td [(H)]TJ/F52 9.9626 Tf 6.982 -4.115 Td [(x)]TJ/F85 10.3811 Tf 7.267 0 Td [(+)]TJ/F60 9.9626 Tf 10.505 0 Td [(b)]TJ/F52 9.9626 Tf 5.648 0 Td [(y)]TJ -84.982 -16.09 Td [(y)]TJ/F83 10.3811 Tf 15.193 0 Td [(\040)]TJ/F60 9.9626 Tf 20.593 0 Td [(a)]TJ/F52 9.9626 Tf 5.708 0 Td [(D)-48(T)]TJ/F83 7.8896 Tf 14.775 4.115 Td [(\000)]TJ/F52 7.5716 Tf 6.61 0 Td [(H)]TJ/F52 9.9626 Tf 6.982 -4.115 Td [(x)]TJ/F85 10.3811 Tf 7.267 0 Td [(+)]TJ/F60 9.9626 Tf 10.504 0 Td [(b)]TJ/F52 9.9626 Tf 5.649 0 Td [(y)]TJ -93.281 -16.09 Td [(y)]TJ/F83 10.3811 Tf 15.193 0 Td [(\040)]TJ/F60 9.9626 Tf 20.593 0 Td [(a)]TJ/F52 9.9626 Tf 5.639 0 Td [(T)]TJ/F83 7.8896 Tf 6.545 4.115 Td [(\000)]TJ/F52 7.5716 Tf 6.61 0 Td [(H)]TJ/F52 9.9626 Tf 7.012 -4.115 Td [(D)-52(x)]TJ/F85 10.3811 Tf 15.536 0 Td [(+)]TJ/F60 9.9626 Tf 10.505 0 Td [(b)]TJ/F52 9.9626 Tf 5.648 0 Td [(y)]TJ/F54 9.9626 Tf -201.061 -38.202 Td [(wher)18(e:)]TJ
+/F54 11.9552 Tf 207.803 706.129 Td [(spsm)-250(\227)-250(T)111(riangular)-250(System)-250(Solve)]TJ/F57 9.9626 Tf -57.098 -19.83 Td [(This)-250(subr)18(outine)-250(computes)-250(the)-250(T)90(riangular)-250(System)-250(Solve:)]TJ/F55 9.9626 Tf 122.724 -35.213 Td [(y)]TJ/F86 10.3811 Tf 15.193 0 Td [(\040)]TJ/F63 9.9626 Tf 20.593 0 Td [(a)]TJ/F55 9.9626 Tf 5.639 0 Td [(T)]TJ/F86 7.8896 Tf 6.545 4.115 Td [(\000)]TJ/F57 7.5716 Tf 6.228 0 Td [(1)]TJ/F55 9.9626 Tf 4.577 -4.115 Td [(x)]TJ/F88 10.3811 Tf 7.267 0 Td [(+)]TJ/F63 9.9626 Tf 10.505 0 Td [(b)]TJ/F55 9.9626 Tf 5.649 0 Td [(y)]TJ -82.196 -16.139 Td [(y)]TJ/F86 10.3811 Tf 15.193 0 Td [(\040)]TJ/F63 9.9626 Tf 20.593 0 Td [(a)]TJ/F55 9.9626 Tf 5.708 0 Td [(D)-48(T)]TJ/F86 7.8896 Tf 14.775 4.114 Td [(\000)]TJ/F57 7.5716 Tf 6.227 0 Td [(1)]TJ/F55 9.9626 Tf 4.578 -4.114 Td [(x)]TJ/F88 10.3811 Tf 7.267 0 Td [(+)]TJ/F63 9.9626 Tf 10.505 0 Td [(b)]TJ/F55 9.9626 Tf 5.649 0 Td [(y)]TJ -90.495 -16.139 Td [(y)]TJ/F86 10.3811 Tf 15.193 0 Td [(\040)]TJ/F63 9.9626 Tf 20.593 0 Td [(a)]TJ/F55 9.9626 Tf 5.639 0 Td [(T)]TJ/F86 7.8896 Tf 6.545 4.114 Td [(\000)]TJ/F57 7.5716 Tf 6.228 0 Td [(1)]TJ/F55 9.9626 Tf 4.607 -4.114 Td [(D)-52(x)]TJ/F88 10.3811 Tf 15.536 0 Td [(+)]TJ/F63 9.9626 Tf 10.505 0 Td [(b)]TJ/F55 9.9626 Tf 5.649 0 Td [(y)]TJ -90.495 -16.09 Td [(y)]TJ/F86 10.3811 Tf 15.193 0 Td [(\040)]TJ/F63 9.9626 Tf 20.593 0 Td [(a)]TJ/F55 9.9626 Tf 5.639 0 Td [(T)]TJ/F86 7.8896 Tf 6.545 4.114 Td [(\000)]TJ/F55 7.5716 Tf 6.421 0 Td [(T)]TJ/F55 9.9626 Tf 5.694 -4.114 Td [(x)]TJ/F88 10.3811 Tf 7.267 0 Td [(+)]TJ/F63 9.9626 Tf 10.505 0 Td [(b)]TJ/F55 9.9626 Tf 5.649 0 Td [(y)]TJ -83.506 -16.09 Td [(y)]TJ/F86 10.3811 Tf 15.193 0 Td [(\040)]TJ/F63 9.9626 Tf 20.593 0 Td [(a)]TJ/F55 9.9626 Tf 5.708 0 Td [(D)-48(T)]TJ/F86 7.8896 Tf 14.775 4.114 Td [(\000)]TJ/F55 7.5716 Tf 6.42 0 Td [(T)]TJ/F55 9.9626 Tf 5.695 -4.114 Td [(x)]TJ/F88 10.3811 Tf 7.267 0 Td [(+)]TJ/F63 9.9626 Tf 10.505 0 Td [(b)]TJ/F55 9.9626 Tf 5.649 0 Td [(y)]TJ -91.805 -16.09 Td [(y)]TJ/F86 10.3811 Tf 15.193 0 Td [(\040)]TJ/F63 9.9626 Tf 20.593 0 Td [(a)]TJ/F55 9.9626 Tf 5.639 0 Td [(T)]TJ/F86 7.8896 Tf 6.545 4.114 Td [(\000)]TJ/F55 7.5716 Tf 6.421 0 Td [(T)]TJ/F55 9.9626 Tf 5.724 -4.114 Td [(D)-52(x)]TJ/F88 10.3811 Tf 15.536 0 Td [(+)]TJ/F63 9.9626 Tf 10.505 0 Td [(b)]TJ/F55 9.9626 Tf 5.649 0 Td [(y)]TJ -91.805 -16.091 Td [(y)]TJ/F86 10.3811 Tf 15.193 0 Td [(\040)]TJ/F63 9.9626 Tf 20.593 0 Td [(a)]TJ/F55 9.9626 Tf 5.639 0 Td [(T)]TJ/F86 7.8896 Tf 6.545 4.115 Td [(\000)]TJ/F55 7.5716 Tf 6.61 0 Td [(H)]TJ/F55 9.9626 Tf 6.982 -4.115 Td [(x)]TJ/F88 10.3811 Tf 7.267 0 Td [(+)]TJ/F63 9.9626 Tf 10.505 0 Td [(b)]TJ/F55 9.9626 Tf 5.648 0 Td [(y)]TJ -84.982 -16.09 Td [(y)]TJ/F86 10.3811 Tf 15.193 0 Td [(\040)]TJ/F63 9.9626 Tf 20.593 0 Td [(a)]TJ/F55 9.9626 Tf 5.708 0 Td [(D)-48(T)]TJ/F86 7.8896 Tf 14.775 4.115 Td [(\000)]TJ/F55 7.5716 Tf 6.61 0 Td [(H)]TJ/F55 9.9626 Tf 6.982 -4.115 Td [(x)]TJ/F88 10.3811 Tf 7.267 0 Td [(+)]TJ/F63 9.9626 Tf 10.504 0 Td [(b)]TJ/F55 9.9626 Tf 5.649 0 Td [(y)]TJ -93.281 -16.09 Td [(y)]TJ/F86 10.3811 Tf 15.193 0 Td [(\040)]TJ/F63 9.9626 Tf 20.593 0 Td [(a)]TJ/F55 9.9626 Tf 5.639 0 Td [(T)]TJ/F86 7.8896 Tf 6.545 4.115 Td [(\000)]TJ/F55 7.5716 Tf 6.61 0 Td [(H)]TJ/F55 9.9626 Tf 7.012 -4.115 Td [(D)-52(x)]TJ/F88 10.3811 Tf 15.536 0 Td [(+)]TJ/F63 9.9626 Tf 10.505 0 Td [(b)]TJ/F55 9.9626 Tf 5.648 0 Td [(y)]TJ/F57 9.9626 Tf -201.061 -38.202 Td [(wher)18(e:)]TJ
 0 g 0 G
-/F52 9.9626 Tf -14.65 -21.265 Td [(x)]TJ
+/F55 9.9626 Tf -14.65 -21.265 Td [(x)]TJ
 0 g 0 G
-/F54 9.9626 Tf 10.186 0 Td [(is)-250(the)-250(global)-250(dense)-250(matrix)]TJ/F52 9.9626 Tf 115.61 0 Td [(x)]TJ/F54 7.5716 Tf 5.201 -1.495 Td [(:)-12(,)-13(:)]TJ
+/F57 9.9626 Tf 10.186 0 Td [(is)-250(the)-250(global)-250(dense)-250(matrix)]TJ/F55 9.9626 Tf 115.61 0 Td [(x)]TJ/F57 7.5716 Tf 5.201 -1.495 Td [(:)-12(,)-13(:)]TJ
 0 g 0 G
-/F52 9.9626 Tf -131.167 -20.218 Td [(y)]TJ
+/F55 9.9626 Tf -131.167 -20.218 Td [(y)]TJ
 0 g 0 G
-/F54 9.9626 Tf 10.087 0 Td [(is)-250(the)-250(global)-250(dense)-250(matrix)]TJ/F52 9.9626 Tf 115.441 0 Td [(y)]TJ/F54 7.5716 Tf 5.201 -1.494 Td [(:)-12(,)-13(:)]TJ
+/F57 9.9626 Tf 10.087 0 Td [(is)-250(the)-250(global)-250(dense)-250(matrix)]TJ/F55 9.9626 Tf 115.441 0 Td [(y)]TJ/F57 7.5716 Tf 5.201 -1.494 Td [(:)-12(,)-13(:)]TJ
 0 g 0 G
-/F52 9.9626 Tf -130.599 -20.218 Td [(T)]TJ
+/F55 9.9626 Tf -130.599 -20.218 Td [(T)]TJ
 0 g 0 G
-/F54 9.9626 Tf 11.432 0 Td [(is)-250(the)-250(global)-250(sparse)-250(block)-250(triangular)-250(submatrix)]TJ/F52 9.9626 Tf 206.797 0 Td [(T)]TJ
+/F57 9.9626 Tf 11.432 0 Td [(is)-250(the)-250(global)-250(sparse)-250(block)-250(triangular)-250(submatrix)]TJ/F55 9.9626 Tf 206.797 0 Td [(T)]TJ
 0 g 0 G
  -218.159 -21.712 Td [(D)]TJ
 0 g 0 G
-/F54 9.9626 Tf 12.956 0 Td [(is)-250(the)-250(scaling)-250(diagonal)-250(matrix.)]TJ
+/F57 9.9626 Tf 12.956 0 Td [(is)-250(the)-250(scaling)-250(diagonal)-250(matrix.)]TJ
 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG
-/F59 9.9626 Tf 6.894 -21.266 Td [(call)]TJ
+/F62 9.9626 Tf 6.894 -21.266 Td [(call)]TJ
 0 g 0 G
  [-525(psb_spsm\050alpha,)-525(t,)-525(x,)-525(beta,)-525(y,)-525(desc_a,)-525(info\051)]TJ
 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG
@@ -12325,42 +12325,42 @@ q
 []0 d 0 J 0.398 w 0 0 m 184.337 0 l S
 Q
 BT
-/F52 9.9626 Tf 236.623 330.871 Td [(T)]TJ/F54 9.9626 Tf 6.451 0 Td [(,)]TJ/F52 9.9626 Tf 5.275 0 Td [(x)]TJ/F54 9.9626 Tf 5.206 0 Td [(,)]TJ/F52 9.9626 Tf 5.106 0 Td [(y)]TJ/F54 9.9626 Tf 5.105 0 Td [(,)]TJ/F52 9.9626 Tf 5.306 0 Td [(D)]TJ/F54 9.9626 Tf 7.975 0 Td [(,)]TJ/F60 9.9626 Tf 5.105 0 Td [(a)]TJ/F54 9.9626 Tf 5.385 0 Td [(,)]TJ/F60 9.9626 Tf 5.355 0 Td [(b)]TJ/F51 9.9626 Tf 64.393 0 Td [(Subroutine)]TJ
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 ET
 q
 1 0 0 1 230.392 327.085 cm
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 Q
 BT
-/F54 9.9626 Tf 236.369 318.517 Td [(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ
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 ET
 q
 1 0 0 1 373.603 318.716 cm
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-/F54 9.9626 Tf 376.592 318.517 Td [(spsm)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ
+/F57 9.9626 Tf 376.592 318.517 Td [(spsm)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ
 ET
 q
 1 0 0 1 373.603 306.761 cm
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 ET
 q
 1 0 0 1 373.603 294.806 cm
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-/F54 9.9626 Tf 376.592 294.607 Td [(spsm)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ
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 ET
 q
 1 0 0 1 373.603 282.851 cm
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 BT
-/F54 9.9626 Tf 376.592 282.652 Td [(spsm)]TJ
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 ET
 q
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@@ -12368,20 +12368,20 @@ q
 Q
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 BT
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 BT
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 0 0 1 rg 0 0 1 RG
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 ET
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 1 0 0 1 385.864 590.037 cm
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 BT
-/F59 9.9626 Tf 389.002 589.838 Td [(T)]TJ
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 ET
 q
 1 0 0 1 394.86 590.037 cm
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-/F59 9.9626 Tf 397.998 589.838 Td [(vect)]TJ
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 ET
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 1 0 0 1 419.547 590.037 cm
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-/F59 9.9626 Tf 422.685 589.838 Td [(type)]TJ
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  [(.)]TJ
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 ET
 q
 1 0 0 1 385.864 429.186 cm
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 Q
 BT
-/F59 9.9626 Tf 389.002 428.986 Td [(T)]TJ
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 ET
 q
 1 0 0 1 394.86 429.186 cm
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 Q
 BT
-/F59 9.9626 Tf 397.998 428.986 Td [(vect)]TJ
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 ET
 q
 1 0 0 1 419.547 429.186 cm
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-/F59 9.9626 Tf 422.685 428.986 Td [(type)]TJ
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  [-280(13)]TJ
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-/F51 9.9626 Tf -83.228 -20.65 Td [(desc)]TJ
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 ET
 q
 1 0 0 1 120.408 384.625 cm
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 BT
-/F51 9.9626 Tf 123.397 384.426 Td [(a)]TJ
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 0 0 1 rg 0 0 1 RG
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 ET
 q
 1 0 0 1 273.363 336.805 cm
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 Q
 BT
-/F59 9.9626 Tf 276.501 336.605 Td [(desc)]TJ
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 ET
 q
 1 0 0 1 298.05 336.805 cm
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 BT
-/F59 9.9626 Tf 301.189 336.605 Td [(type)]TJ
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 0 g 0 G
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 0 g 0 G
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 0 g 0 G
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 0 g 0 G
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 0 g 0 G
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 0 g 0 G
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 0 g 0 G
-/F54 9.9626 Tf 51.417 0 Td [(the)-250(operation)-250(is)-250(with)-250(conjugate)-250(transposed)-250(matrix.)]TJ -51.417 -20.65 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(global)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(optional)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.956 Td [(Default:)]TJ/F52 9.9626 Tf 38.64 0 Td [(t)-15(r)-50(a)-25(n)-25(s)]TJ/F85 10.3811 Tf 25.193 0 Td [(=)]TJ/F52 9.9626 Tf 11.434 0 Td [(N)]TJ/F54 9.9626 Tf -75.267 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(character)-250(variable.)]TJ
+/F57 9.9626 Tf 51.417 0 Td [(the)-250(operation)-250(is)-250(with)-250(conjugate)-250(transposed)-250(matrix.)]TJ -51.417 -20.65 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(global)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(optional)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.956 Td [(Default:)]TJ/F55 9.9626 Tf 38.64 0 Td [(t)-15(r)-50(a)-25(n)-25(s)]TJ/F88 10.3811 Tf 25.193 0 Td [(=)]TJ/F55 9.9626 Tf 11.434 0 Td [(N)]TJ/F57 9.9626 Tf -75.267 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(character)-250(variable.)]TJ
 0 g 0 G
-/F51 9.9626 Tf -24.907 -20.65 Td [(unitd)]TJ
+/F54 9.9626 Tf -24.907 -20.65 Td [(unitd)]TJ
 0 g 0 G
-/F54 9.9626 Tf 29.878 0 Td [(specify)-250(with)]TJ/F52 9.9626 Tf 56.398 0 Td [(trans)]TJ/F54 9.9626 Tf 23.521 0 Td [(the)-250(operation)-250(to)-250(perform.)]TJ
+/F57 9.9626 Tf 29.878 0 Td [(specify)-250(with)]TJ/F55 9.9626 Tf 56.398 0 Td [(trans)]TJ/F57 9.9626 Tf 23.521 0 Td [(the)-250(operation)-250(to)-250(perform.)]TJ
 0 g 0 G
-/F51 9.9626 Tf -84.89 -20.649 Td [(unitd)-250(=)-250('U')]TJ
+/F54 9.9626 Tf -84.89 -20.649 Td [(unitd)-250(=)-250('U')]TJ
 0 g 0 G
-/F54 9.9626 Tf 54.186 0 Td [(the)-250(operation)-250(is)-250(with)-250(no)-250(scaling)]TJ
+/F57 9.9626 Tf 54.186 0 Td [(the)-250(operation)-250(is)-250(with)-250(no)-250(scaling)]TJ
 0 g 0 G
-/F51 9.9626 Tf -54.186 -16.303 Td [(unitd)-250(=)-250('L)74(')]TJ
+/F54 9.9626 Tf -54.186 -16.303 Td [(unitd)-250(=)-250('L)74(')]TJ
 0 g 0 G
-/F54 9.9626 Tf 51.785 0 Td [(the)-250(operation)-250(is)-250(with)-250(left)-250(scaling)]TJ
+/F57 9.9626 Tf 51.785 0 Td [(the)-250(operation)-250(is)-250(with)-250(left)-250(scaling)]TJ
 0 g 0 G
-/F51 9.9626 Tf -51.785 -16.302 Td [(unitd)-250(=)-250('R')]TJ
+/F54 9.9626 Tf -51.785 -16.302 Td [(unitd)-250(=)-250('R')]TJ
 0 g 0 G
-/F54 9.9626 Tf 53.628 0 Td [(the)-250(operation)-250(is)-250(with)-250(right)-250(scaling.)]TJ
+/F57 9.9626 Tf 53.628 0 Td [(the)-250(operation)-250(is)-250(with)-250(right)-250(scaling.)]TJ
 0 g 0 G
  88.34 -29.888 Td [(51)]TJ
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@@ -12559,14 +12559,14 @@ stream
 0 g 0 G
 0 g 0 G
 BT
-/F54 9.9626 Tf 175.611 706.129 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(global)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(optional)]TJ/F54 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(in)]TJ/F54 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.956 Td [(Default:)]TJ/F52 9.9626 Tf 38.64 0 Td [(u)-25(n)-18(i)-32(t)-25(d)]TJ/F85 10.3811 Tf 26.159 0 Td [(=)]TJ/F52 9.9626 Tf 10.927 0 Td [(U)]TJ/F54 9.9626 Tf -75.726 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(character)-250(variable.)]TJ
+/F57 9.9626 Tf 175.611 706.129 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(global)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.089 0 Td [(optional)]TJ/F57 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(in)]TJ/F57 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.956 Td [(Default:)]TJ/F55 9.9626 Tf 38.64 0 Td [(u)-25(n)-18(i)-32(t)-25(d)]TJ/F88 10.3811 Tf 26.159 0 Td [(=)]TJ/F55 9.9626 Tf 10.927 0 Td [(U)]TJ/F57 9.9626 Tf -75.726 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(character)-250(variable.)]TJ
 0 g 0 G
-/F51 9.9626 Tf -24.906 -19.925 Td [(choice)]TJ
+/F54 9.9626 Tf -24.906 -19.925 Td [(choice)]TJ
 0 g 0 G
-/F54 9.9626 Tf 33.753 0 Td [(speci\002es)-250(the)-250(update)-250(of)-250(overlap)-250(elements)-250(to)-250(be)-250(performed)-250(on)-250(exit:)]TJ
+/F57 9.9626 Tf 33.753 0 Td [(speci\002es)-250(the)-250(update)-250(of)-250(overlap)-250(elements)-250(to)-250(be)-250(performed)-250(on)-250(exit:)]TJ
 0 g 0 G
 0 g 0 G
-/F59 9.9626 Tf -3.865 -19.925 Td [(psb_none_)]TJ
+/F62 9.9626 Tf -3.865 -19.925 Td [(psb_none_)]TJ
 0 g 0 G
 0 g 0 G
  0 -15.941 Td [(psb_sum_)]TJ
@@ -12575,34 +12575,34 @@ BT
  0 -15.94 Td [(psb_avg_)]TJ
 0 g 0 G
 0 g 0 G
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+ 0 -15.94 Td [(psb_square_root_)]TJ/F57 9.9626 Tf -4.982 -19.925 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(global)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.089 0 Td [(optional)]TJ/F57 9.9626 Tf -27.089 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(in)]TJ/F57 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Default:)]TJ/F62 9.9626 Tf 38.515 0 Td [(psb_avg_)]TJ/F57 9.9626 Tf -38.515 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(variable.)]TJ
 0 g 0 G
-/F51 9.9626 Tf -24.906 -19.925 Td [(diag)]TJ
+/F54 9.9626 Tf -24.906 -19.925 Td [(diag)]TJ
 0 g 0 G
-/F54 9.9626 Tf 24.906 0 Td [(the)-250(diagonal)-250(scaling)-250(matrix.)]TJ 0 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.956 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(optional)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(in)]TJ/F54 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Default:)]TJ/F52 9.9626 Tf 38.64 0 Td [(d)-18(i)-47(a)-47(g)]TJ/F85 10.3811 Tf 18.52 0 Td [(\050)]TJ/F54 9.9626 Tf 4.15 0 Td [(1)]TJ/F85 10.3811 Tf 5.106 0 Td [(\051)-289(=)]TJ/F54 9.9626 Tf 18.002 0 Td [(1)]TJ/F85 10.3811 Tf 5.106 0 Td [(\050)]TJ/F52 9.9626 Tf 4.274 0 Td [(n)-25(o)-35(s)-25(c)-40(a)-25(l)-48(i)-32(n)-47(g)]TJ/F85 10.3811 Tf 41.384 0 Td [(\051)]TJ/F54 9.9626 Tf -135.182 -11.955 Td [(Speci\002ed)-293(as:)-395(a)-293(rank)-293(one)-293(array)-292(containing)-293(numbers)-293(of)-293(the)-292(type)-293(indicated)]TJ 0 -11.955 Td [(in)-250(T)92(able)]TJ
+/F57 9.9626 Tf 24.906 0 Td [(the)-250(diagonal)-250(scaling)-250(matrix.)]TJ 0 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.956 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(optional)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(in)]TJ/F57 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Default:)]TJ/F55 9.9626 Tf 38.64 0 Td [(d)-18(i)-47(a)-47(g)]TJ/F88 10.3811 Tf 18.52 0 Td [(\050)]TJ/F57 9.9626 Tf 4.15 0 Td [(1)]TJ/F88 10.3811 Tf 5.106 0 Td [(\051)-289(=)]TJ/F57 9.9626 Tf 18.002 0 Td [(1)]TJ/F88 10.3811 Tf 5.106 0 Td [(\050)]TJ/F55 9.9626 Tf 4.274 0 Td [(n)-25(o)-35(s)-25(c)-40(a)-25(l)-48(i)-32(n)-47(g)]TJ/F88 10.3811 Tf 41.384 0 Td [(\051)]TJ/F57 9.9626 Tf -135.182 -11.955 Td [(Speci\002ed)-293(as:)-395(a)-293(rank)-293(one)-293(array)-292(containing)-293(numbers)-293(of)-293(the)-292(type)-293(indicated)]TJ 0 -11.955 Td [(in)-250(T)92(able)]TJ
 0 0 1 rg 0 0 1 RG
  [-250(13)]TJ
 0 g 0 G
  [(.)]TJ
 0 g 0 G
-/F51 9.9626 Tf -24.906 -19.926 Td [(work)]TJ
+/F54 9.9626 Tf -24.906 -19.926 Td [(work)]TJ
 0 g 0 G
-/F54 9.9626 Tf 28.782 0 Td [(a)-250(work)-250(array)111(.)]TJ -3.876 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(optional)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(inout)]TJ/F54 9.9626 Tf 24.348 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-344(as:)-498(a)-344(rank)-343(one)-344(array)-344(of)-344(the)-344(same)-344(type)-344(of)]TJ/F52 9.9626 Tf 229.679 0 Td [(x)]TJ/F54 9.9626 Tf 8.631 0 Td [(with)-344(the)-344(T)74(ARGET)]TJ -238.31 -11.955 Td [(attribute.)]TJ
+/F57 9.9626 Tf 28.782 0 Td [(a)-250(work)-250(array)111(.)]TJ -3.876 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(optional)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(inout)]TJ/F57 9.9626 Tf 24.348 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-344(as:)-498(a)-344(rank)-343(one)-344(array)-344(of)-344(the)-344(same)-344(type)-344(of)]TJ/F55 9.9626 Tf 229.679 0 Td [(x)]TJ/F57 9.9626 Tf 8.631 0 Td [(with)-344(the)-344(T)74(ARGET)]TJ -238.31 -11.955 Td [(attribute.)]TJ
 0 g 0 G
-/F51 9.9626 Tf -24.906 -19.926 Td [(On)-250(Return)]TJ
+/F54 9.9626 Tf -24.906 -19.926 Td [(On)-250(Return)]TJ
 0 g 0 G
 0 g 0 G
  0 -19.925 Td [(y)]TJ
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-/F54 9.9626 Tf 10.52 0 Td [(the)-250(local)-250(portion)-250(of)-250(global)-250(dense)-250(matrix)]TJ/F52 9.9626 Tf 175.445 0 Td [(y)]TJ/F54 9.9626 Tf 5.106 0 Td [(.)]TJ -166.165 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(inout)]TJ/F54 9.9626 Tf 24.348 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-379(as:)-568(an)-379(array)-379(of)-379(rank)-379(one)-379(or)-379(two)-379(containing)-379(numbers)-379(of)-379(type)]TJ 0 -11.955 Td [(speci\002ed)-250(in)-250(T)92(able)]TJ
+/F57 9.9626 Tf 10.52 0 Td [(the)-250(local)-250(portion)-250(of)-250(global)-250(dense)-250(matrix)]TJ/F55 9.9626 Tf 175.445 0 Td [(y)]TJ/F57 9.9626 Tf 5.106 0 Td [(.)]TJ -166.165 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(inout)]TJ/F57 9.9626 Tf 24.348 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-379(as:)-568(an)-379(array)-379(of)-379(rank)-379(one)-379(or)-379(two)-379(containing)-379(numbers)-379(of)-379(type)]TJ 0 -11.955 Td [(speci\002ed)-250(in)-250(T)92(able)]TJ
 0 0 1 rg 0 0 1 RG
  [-250(13)]TJ
 0 g 0 G
  [(.)]TJ
 0 g 0 G
-/F51 9.9626 Tf -24.906 -19.925 Td [(info)]TJ
+/F54 9.9626 Tf -24.906 -19.925 Td [(info)]TJ
 0 g 0 G
-/F54 9.9626 Tf 23.8 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.956 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(out)]TJ/F54 9.9626 Tf 14.943 0 Td [(.)]TJ -46.744 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ
+/F57 9.9626 Tf 23.8 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.956 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(out)]TJ/F57 9.9626 Tf 14.943 0 Td [(.)]TJ -46.744 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ
 0 g 0 G
  141.968 -73.723 Td [(52)]TJ
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@@ -12618,14 +12618,14 @@ stream
 0 g 0 G
 0 g 0 G
 BT
-/F51 11.9552 Tf 99.895 706.129 Td [(4.14)-1000(psb)]TJ
+/F54 11.9552 Tf 99.895 706.129 Td [(4.14)-1000(psb)]TJ
 ET
 q
 1 0 0 1 153.407 706.328 cm
 []0 d 0 J 0.398 w 0 0 m 3.587 0 l S
 Q
 BT
-/F51 11.9552 Tf 156.993 706.129 Td [(gemlt)-250(\227)-250(Entrywise)-250(Product)]TJ/F54 9.9626 Tf -57.098 -18.964 Td [(This)-250(function)-250(computes)-250(the)-250(entrywise)-250(pr)18(oduct)-250(between)-250(two)-250(vectors)]TJ/F52 9.9626 Tf 299.677 0 Td [(x)]TJ/F54 9.9626 Tf 7.697 0 Td [(and)]TJ/F52 9.9626 Tf 19.481 0 Td [(y)]TJ -187.918 -21.112 Td [(d)-25(o)-35(t)]TJ/F83 10.3811 Tf 16.336 0 Td [(\040)]TJ/F52 9.9626 Tf 13.567 0 Td [(x)]TJ/F85 10.3811 Tf 5.33 0 Td [(\050)]TJ/F52 9.9626 Tf 4.204 0 Td [(i)]TJ/F85 10.3811 Tf 3.088 0 Td [(\051)]TJ/F52 9.9626 Tf 4.274 0 Td [(y)]TJ/F85 10.3811 Tf 5.231 0 Td [(\050)]TJ/F52 9.9626 Tf 4.204 0 Td [(i)]TJ/F85 10.3811 Tf 3.088 0 Td [(\051)]TJ/F54 9.9626 Tf 4.15 0 Td [(.)]TJ/F59 9.9626 Tf -187.465 -21.111 Td [(psb_gemlt\050x,)-525(y,)-525(desc_a,)-525(info\051)]TJ
+/F54 11.9552 Tf 156.993 706.129 Td [(gemlt)-250(\227)-250(Entrywise)-250(Product)]TJ/F57 9.9626 Tf -57.098 -18.964 Td [(This)-250(function)-250(computes)-250(the)-250(entrywise)-250(pr)18(oduct)-250(between)-250(two)-250(vectors)]TJ/F55 9.9626 Tf 299.677 0 Td [(x)]TJ/F57 9.9626 Tf 7.697 0 Td [(and)]TJ/F55 9.9626 Tf 19.481 0 Td [(y)]TJ -187.918 -21.112 Td [(d)-25(o)-35(t)]TJ/F86 10.3811 Tf 16.336 0 Td [(\040)]TJ/F55 9.9626 Tf 13.567 0 Td [(x)]TJ/F88 10.3811 Tf 5.33 0 Td [(\050)]TJ/F55 9.9626 Tf 4.204 0 Td [(i)]TJ/F88 10.3811 Tf 3.088 0 Td [(\051)]TJ/F55 9.9626 Tf 4.274 0 Td [(y)]TJ/F88 10.3811 Tf 5.231 0 Td [(\050)]TJ/F55 9.9626 Tf 4.204 0 Td [(i)]TJ/F88 10.3811 Tf 3.088 0 Td [(\051)]TJ/F57 9.9626 Tf 4.15 0 Td [(.)]TJ/F62 9.9626 Tf -187.465 -21.111 Td [(psb_gemlt\050x,)-525(y,)-525(desc_a,)-525(info\051)]TJ
 0 g 0 G
 0 g 0 G
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@@ -12635,42 +12635,42 @@ q
 []0 d 0 J 0.398 w 0 0 m 177.433 0 l S
 Q
 BT
-/F52 9.9626 Tf 189.137 622.328 Td [(d)-25(o)-35(t)]TJ/F54 9.9626 Tf 13.444 0 Td [(,)]TJ/F52 9.9626 Tf 5.275 0 Td [(x)]TJ/F54 9.9626 Tf 5.206 0 Td [(,)]TJ/F52 9.9626 Tf 5.106 0 Td [(y)]TJ/F51 9.9626 Tf 91.759 0 Td [(Function)]TJ
+/F55 9.9626 Tf 189.137 622.328 Td [(d)-25(o)-35(t)]TJ/F57 9.9626 Tf 13.444 0 Td [(,)]TJ/F55 9.9626 Tf 5.275 0 Td [(x)]TJ/F57 9.9626 Tf 5.206 0 Td [(,)]TJ/F55 9.9626 Tf 5.106 0 Td [(y)]TJ/F54 9.9626 Tf 91.759 0 Td [(Function)]TJ
 ET
 q
 1 0 0 1 183.035 618.542 cm
 []0 d 0 J 0.398 w 0 0 m 177.433 0 l S
 Q
 BT
-/F54 9.9626 Tf 189.012 609.974 Td [(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ
+/F57 9.9626 Tf 189.012 609.974 Td [(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ
 ET
 q
 1 0 0 1 326.246 610.173 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F54 9.9626 Tf 329.235 609.974 Td [(gemlt)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ
+/F57 9.9626 Tf 329.235 609.974 Td [(gemlt)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ
 ET
 q
 1 0 0 1 326.246 598.218 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F54 9.9626 Tf 329.235 598.019 Td [(gemlt)]TJ -140.223 -11.955 Td [(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ
+/F57 9.9626 Tf 329.235 598.019 Td [(gemlt)]TJ -140.223 -11.955 Td [(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ
 ET
 q
 1 0 0 1 326.246 586.263 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F54 9.9626 Tf 329.235 586.064 Td [(gemlt)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ
+/F57 9.9626 Tf 329.235 586.064 Td [(gemlt)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ
 ET
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 1 0 0 1 326.555 616.84 cm
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-/F54 9.9626 Tf 329.544 616.641 Td [(geinv)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ
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 ET
 q
 1 0 0 1 326.555 604.885 cm
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 ET
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 1 0 0 1 326.555 592.93 cm
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-/F54 9.9626 Tf 329.544 592.731 Td [(geinv)]TJ -140.223 -11.956 Td [(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ
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 ET
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 1 0 0 1 326.555 580.975 cm
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-/F54 9.9626 Tf 329.544 580.775 Td [(geinv)]TJ
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 ET
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 1 0 0 1 280.646 434.555 cm
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-/F59 9.9626 Tf 283.785 434.356 Td [(T)]TJ
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 ET
 q
 1 0 0 1 289.642 434.555 cm
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-/F59 9.9626 Tf 292.781 434.356 Td [(vect)]TJ
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 q
 1 0 0 1 314.33 434.555 cm
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-/F59 9.9626 Tf 317.468 434.356 Td [(type)]TJ
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 1 0 0 1 120.408 404.108 cm
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-/F51 9.9626 Tf 123.397 403.909 Td [(a)]TJ
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 ET
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 1 0 0 1 273.363 356.288 cm
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-/F59 9.9626 Tf 276.501 356.088 Td [(desc)]TJ
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 ET
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 1 0 0 1 298.05 356.288 cm
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-/F59 9.9626 Tf 301.189 356.088 Td [(type)]TJ
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 ET
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 1 0 0 1 280.646 205.171 cm
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 Q
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-/F59 9.9626 Tf 283.785 204.972 Td [(T)]TJ
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 ET
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 1 0 0 1 289.642 205.171 cm
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-/F59 9.9626 Tf 292.781 204.972 Td [(vect)]TJ
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 1 0 0 1 147.429 706.328 cm
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@@ -13989,49 +13989,49 @@ q
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-/F54 9.9626 Tf 325.783 527.583 Td [(halo)]TJ
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 BT
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 0 g 0 G
 0 g 0 G
-/F54 9.9626 Tf 94.641 -105.903 Td [(61)]TJ
+/F57 9.9626 Tf 94.641 -105.903 Td [(61)]TJ
 0 g 0 G
 ET
 
@@ -14376,22 +14376,22 @@ stream
 0 g 0 G
 0 g 0 G
 BT
-/F51 11.9552 Tf 150.705 706.129 Td [(5.2)-1000(psb)]TJ
+/F54 11.9552 Tf 150.705 706.129 Td [(5.2)-1000(psb)]TJ
 ET
 q
 1 0 0 1 198.238 706.328 cm
 []0 d 0 J 0.398 w 0 0 m 3.587 0 l S
 Q
 BT
-/F51 11.9552 Tf 201.825 706.129 Td [(ovrl)-250(\227)-250(Overlap)-250(Update)]TJ/F54 9.9626 Tf -51.12 -18.964 Td [(These)-250(subr)18(outines)-250(applies)-250(an)-250(overlap)-250(operator)-250(to)-250(the)-250(input)-250(vector:)]TJ/F52 9.9626 Tf 154.518 -23.824 Td [(x)]TJ/F83 10.3811 Tf 8.097 0 Td [(\040)]TJ/F52 9.9626 Tf 13.497 0 Td [(Q)-42(x)]TJ/F54 9.9626 Tf -176.112 -21.014 Td [(wher)18(e:)]TJ
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 0 g 0 G
-/F52 9.9626 Tf 0.294 -19.203 Td [(x)]TJ
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 0 g 0 G
-/F54 9.9626 Tf 10.186 0 Td [(is)-250(the)-250(global)-250(dense)-250(submatrix)]TJ/F52 9.9626 Tf 131.351 0 Td [(x)]TJ
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 0 g 0 G
  -141.607 -19.564 Td [(Q)]TJ
 0 g 0 G
-/F54 9.9626 Tf 12.857 0 Td [(is)-250(the)-250(overlap)-250(operator;)-250(it)-250(is)-250(the)-250(composition)-250(of)-250(two)-250(operators)]TJ/F52 9.9626 Tf 271.931 0 Td [(P)]TJ/F52 7.5716 Tf 5.424 -1.494 Td [(a)]TJ/F54 9.9626 Tf 6.445 1.494 Td [(and)]TJ/F52 9.9626 Tf 19.681 0 Td [(P)]TJ/F52 7.5716 Tf 6.405 3.616 Td [(T)]TJ/F54 9.9626 Tf 5.401 -3.616 Td [(.)]TJ
+/F57 9.9626 Tf 12.857 0 Td [(is)-250(the)-250(overlap)-250(operator;)-250(it)-250(is)-250(the)-250(composition)-250(of)-250(two)-250(operators)]TJ/F55 9.9626 Tf 271.931 0 Td [(P)]TJ/F55 7.5716 Tf 5.424 -1.494 Td [(a)]TJ/F57 9.9626 Tf 6.445 1.494 Td [(and)]TJ/F55 9.9626 Tf 19.681 0 Td [(P)]TJ/F55 7.5716 Tf 6.405 3.616 Td [(T)]TJ/F57 9.9626 Tf 5.401 -3.616 Td [(.)]TJ
 0 g 0 G
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@@ -14401,42 +14401,42 @@ q
 []0 d 0 J 0.398 w 0 0 m 184.337 0 l S
 Q
 BT
-/F52 9.9626 Tf 236.663 573.142 Td [(x)]TJ/F51 9.9626 Tf 120.622 0 Td [(Subroutine)]TJ
+/F55 9.9626 Tf 236.663 573.142 Td [(x)]TJ/F54 9.9626 Tf 120.622 0 Td [(Subroutine)]TJ
 ET
 q
 1 0 0 1 230.392 569.356 cm
 []0 d 0 J 0.398 w 0 0 m 184.337 0 l S
 Q
 BT
-/F54 9.9626 Tf 236.369 560.788 Td [(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ
+/F57 9.9626 Tf 236.369 560.788 Td [(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ
 ET
 q
 1 0 0 1 373.603 560.988 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F54 9.9626 Tf 376.592 560.788 Td [(ovrl)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ
+/F57 9.9626 Tf 376.592 560.788 Td [(ovrl)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ
 ET
 q
 1 0 0 1 373.603 549.032 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F54 9.9626 Tf 376.592 548.833 Td [(ovrl)]TJ -140.223 -11.955 Td [(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ
+/F57 9.9626 Tf 376.592 548.833 Td [(ovrl)]TJ -140.223 -11.955 Td [(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ
 ET
 q
 1 0 0 1 373.603 537.077 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F54 9.9626 Tf 376.592 536.878 Td [(ovrl)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ
+/F57 9.9626 Tf 376.592 536.878 Td [(ovrl)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ
 ET
 q
 1 0 0 1 373.603 525.122 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F54 9.9626 Tf 376.592 524.923 Td [(ovrl)]TJ
+/F57 9.9626 Tf 376.592 524.923 Td [(ovrl)]TJ
 ET
 q
 1 0 0 1 230.392 521.137 cm
@@ -14444,11 +14444,11 @@ q
 Q
 0 g 0 G
 BT
-/F54 9.9626 Tf 278.277 492.758 Td [(T)92(able)-250(18:)-310(Data)-250(types)]TJ
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 0 g 0 G
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 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG
-/F59 9.9626 Tf -127.572 -23.549 Td [(call)]TJ
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  [-525(psb_ovrl\050x,)-525(desc_a,)-525(info\051)]TJ
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@@ -14464,87 +14464,87 @@ BT
 0 g 0 G
  [(work\051)]TJ
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 0 g 0 G
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 0 0 1 rg 0 0 1 RG
-/F59 9.9626 Tf 244.742 0 Td [(psb)]TJ
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 ET
 q
 1 0 0 1 436.673 349.49 cm
 []0 d 0 J 0.398 w 0 0 m 3.138 0 l S
 Q
 BT
-/F59 9.9626 Tf 439.811 349.291 Td [(T)]TJ
+/F62 9.9626 Tf 439.811 349.291 Td [(T)]TJ
 ET
 q
 1 0 0 1 445.669 349.49 cm
 []0 d 0 J 0.398 w 0 0 m 3.138 0 l S
 Q
 BT
-/F59 9.9626 Tf 448.807 349.291 Td [(vect)]TJ
+/F62 9.9626 Tf 448.807 349.291 Td [(vect)]TJ
 ET
 q
 1 0 0 1 470.356 349.49 cm
 []0 d 0 J 0.398 w 0 0 m 3.138 0 l S
 Q
 BT
-/F59 9.9626 Tf 473.495 349.291 Td [(type)]TJ
+/F62 9.9626 Tf 473.495 349.291 Td [(type)]TJ
 0 g 0 G
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+/F54 9.9626 Tf -24.906 -19.564 Td [(desc)]TJ
 ET
 q
 1 0 0 1 171.218 317.971 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F51 9.9626 Tf 174.207 317.772 Td [(a)]TJ
+/F54 9.9626 Tf 174.207 317.772 Td [(a)]TJ
 0 g 0 G
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+/F57 9.9626 Tf 9.962 0 Td [(contains)-250(data)-250(str)8(uctur)18(es)-250(for)-250(communications.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.089 0 Td [(required)]TJ/F57 9.9626 Tf -27.089 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(in)]TJ/F57 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ
 0 0 1 rg 0 0 1 RG
-/F59 9.9626 Tf 168.138 0 Td [(psb)]TJ
+/F62 9.9626 Tf 168.138 0 Td [(psb)]TJ
 ET
 q
 1 0 0 1 360.068 270.151 cm
 []0 d 0 J 0.398 w 0 0 m 3.138 0 l S
 Q
 BT
-/F59 9.9626 Tf 363.206 269.951 Td [(desc)]TJ
+/F62 9.9626 Tf 363.206 269.951 Td [(desc)]TJ
 ET
 q
 1 0 0 1 384.755 270.151 cm
 []0 d 0 J 0.398 w 0 0 m 3.138 0 l S
 Q
 BT
-/F59 9.9626 Tf 387.893 269.951 Td [(type)]TJ
+/F62 9.9626 Tf 387.893 269.951 Td [(type)]TJ
 0 g 0 G
-/F54 9.9626 Tf 20.922 0 Td [(.)]TJ
+/F57 9.9626 Tf 20.922 0 Td [(.)]TJ
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 BT
-/F54 7.9701 Tf 265.805 653.177 Td [(Pr)18(ocess)-250(0)-8396(Pr)18(ocess)-250(1)]TJ -31.163 -9.464 Td [(I)-1500(GLOB\050I\051)-1500(X\050I\051)-5163(I)-1500(GLOB\050I\051)-1500(X\050I\051)]TJ -1.299 -9.465 Td [(1)-4774(1)-1920(1.0)-5000(1)-4274(33)-1920(1.5)]TJ 0 -9.464 Td [(2)-4774(2)-1920(1.0)-5000(2)-4274(34)-1920(1.5)]TJ 0 -9.465 Td [(3)-4774(3)-1920(1.0)-5000(3)-4274(35)-1920(1.5)]TJ 0 -9.464 Td [(4)-4774(4)-1920(1.0)-5000(4)-4274(36)-1920(1.5)]TJ 0 -9.465 Td [(5)-4774(5)-1920(1.0)-5000(5)-4274(37)-1920(1.5)]TJ 0 -9.464 Td [(6)-4774(6)-1920(1.0)-5000(6)-4274(38)-1920(1.5)]TJ 0 -9.465 Td [(7)-4774(7)-1920(1.0)-5000(7)-4274(39)-1920(1.5)]TJ 0 -9.464 Td [(8)-4774(8)-1920(1.0)-5000(8)-4274(40)-1920(1.5)]TJ 0 -9.465 Td [(9)-4774(9)-1920(1.0)-5000(9)-4274(41)-1920(2.0)]TJ -3.985 -9.464 Td [(10)-4274(10)-1920(1.0)-4500(10)-4274(42)-1920(2.0)]TJ 0 -9.465 Td [(11)-4274(11)-1920(1.0)-4500(11)-4274(43)-1920(2.0)]TJ 0 -9.464 Td [(12)-4274(12)-1920(1.0)-4500(12)-4274(44)-1920(2.0)]TJ 0 -9.465 Td [(13)-4274(13)-1920(1.0)-4500(13)-4274(45)-1920(2.0)]TJ 0 -9.464 Td [(14)-4274(14)-1920(1.0)-4500(14)-4274(46)-1920(2.0)]TJ 0 -9.465 Td [(15)-4274(15)-1920(1.0)-4500(15)-4274(47)-1920(2.0)]TJ 0 -9.464 Td [(16)-4274(16)-1920(1.0)-4500(16)-4274(48)-1920(2.0)]TJ 0 -9.465 Td [(17)-4274(17)-1920(1.0)-4500(17)-4274(49)-1920(2.0)]TJ 0 -9.464 Td [(18)-4274(18)-1920(1.0)-4500(18)-4274(50)-1920(2.0)]TJ 0 -9.465 Td [(19)-4274(19)-1920(1.0)-4500(19)-4274(51)-1920(2.0)]TJ 0 -9.464 Td [(20)-4274(20)-1920(1.0)-4500(20)-4274(52)-1920(2.0)]TJ 0 -9.465 Td [(21)-4274(21)-1920(1.0)-4500(21)-4274(53)-1920(2.0)]TJ 0 -9.464 Td [(22)-4274(22)-1920(1.0)-4500(22)-4274(54)-1920(2.0)]TJ 0 -9.465 Td [(23)-4274(23)-1920(1.0)-4500(23)-4274(55)-1920(2.0)]TJ 0 -9.464 Td [(24)-4274(24)-1920(1.0)-4500(24)-4274(56)-1920(2.0)]TJ 0 -9.465 Td [(25)-4274(25)-1920(1.5)-4500(25)-4274(57)-1920(2.0)]TJ 0 -9.464 Td [(26)-4274(26)-1920(1.5)-4500(26)-4274(58)-1920(2.0)]TJ 0 -9.465 Td [(27)-4274(27)-1920(1.5)-4500(27)-4274(59)-1920(2.0)]TJ 0 -9.464 Td [(28)-4274(28)-1920(1.5)-4500(28)-4274(60)-1920(2.0)]TJ 0 -9.465 Td [(29)-4274(29)-1920(1.5)-4500(29)-4274(61)-1920(2.0)]TJ 0 -9.464 Td [(30)-4274(30)-1920(1.5)-4500(30)-4274(62)-1920(2.0)]TJ 0 -9.465 Td [(31)-4274(31)-1920(1.5)-4500(31)-4274(63)-1920(2.0)]TJ 0 -9.464 Td [(32)-4274(32)-1920(1.5)-4500(32)-4274(64)-1920(2.0)]TJ 0 -9.465 Td [(33)-4274(33)-1920(1.5)-4500(33)-4274(25)-1920(1.5)]TJ 0 -9.464 Td [(34)-4274(34)-1920(1.5)-4500(34)-4274(26)-1920(1.5)]TJ 0 -9.465 Td [(35)-4274(35)-1920(1.5)-4500(35)-4274(27)-1920(1.5)]TJ 0 -9.464 Td [(36)-4274(36)-1920(1.5)-4500(36)-4274(28)-1920(1.5)]TJ 0 -9.465 Td [(37)-4274(37)-1920(1.5)-4500(37)-4274(29)-1920(1.5)]TJ 0 -9.464 Td [(38)-4274(38)-1920(1.5)-4500(38)-4274(30)-1920(1.5)]TJ 0 -9.465 Td [(39)-4274(39)-1920(1.5)-4500(39)-4274(31)-1920(1.5)]TJ 0 -9.464 Td [(40)-4274(40)-1920(1.5)-4500(40)-4274(32)-1920(1.5)]TJ 0 -9.465 Td [(41)-4274(41)-1920(2.0)-4500(41)-4274(17)-1920(1.0)]TJ 0 -9.464 Td [(42)-4274(42)-1920(2.0)-4500(42)-4274(18)-1920(1.0)]TJ 0 -9.465 Td [(43)-4274(43)-1920(2.0)-4500(43)-4274(19)-1920(1.0)]TJ 0 -9.464 Td [(44)-4274(44)-1920(2.0)-4500(44)-4274(20)-1920(1.0)]TJ 0 -9.465 Td [(45)-4274(45)-1920(2.0)-4500(45)-4274(21)-1920(1.0)]TJ 0 -9.464 Td [(46)-4274(46)-1920(2.0)-4500(46)-4274(22)-1920(1.0)]TJ 0 -9.465 Td [(47)-4274(47)-1920(2.0)-4500(47)-4274(23)-1920(1.0)]TJ 0 -9.464 Td [(48)-4274(48)-1920(2.0)-4500(48)-4274(24)-1920(1.0)]TJ
+/F57 7.9701 Tf 265.805 653.177 Td [(Pr)18(ocess)-250(0)-8396(Pr)18(ocess)-250(1)]TJ -31.163 -9.464 Td [(I)-1500(GLOB\050I\051)-1500(X\050I\051)-5163(I)-1500(GLOB\050I\051)-1500(X\050I\051)]TJ -1.299 -9.465 Td [(1)-4774(1)-1920(1.0)-5000(1)-4274(33)-1920(1.5)]TJ 0 -9.464 Td [(2)-4774(2)-1920(1.0)-5000(2)-4274(34)-1920(1.5)]TJ 0 -9.465 Td [(3)-4774(3)-1920(1.0)-5000(3)-4274(35)-1920(1.5)]TJ 0 -9.464 Td [(4)-4774(4)-1920(1.0)-5000(4)-4274(36)-1920(1.5)]TJ 0 -9.465 Td [(5)-4774(5)-1920(1.0)-5000(5)-4274(37)-1920(1.5)]TJ 0 -9.464 Td [(6)-4774(6)-1920(1.0)-5000(6)-4274(38)-1920(1.5)]TJ 0 -9.465 Td [(7)-4774(7)-1920(1.0)-5000(7)-4274(39)-1920(1.5)]TJ 0 -9.464 Td [(8)-4774(8)-1920(1.0)-5000(8)-4274(40)-1920(1.5)]TJ 0 -9.465 Td [(9)-4774(9)-1920(1.0)-5000(9)-4274(41)-1920(2.0)]TJ -3.985 -9.464 Td [(10)-4274(10)-1920(1.0)-4500(10)-4274(42)-1920(2.0)]TJ 0 -9.465 Td [(11)-4274(11)-1920(1.0)-4500(11)-4274(43)-1920(2.0)]TJ 0 -9.464 Td [(12)-4274(12)-1920(1.0)-4500(12)-4274(44)-1920(2.0)]TJ 0 -9.465 Td [(13)-4274(13)-1920(1.0)-4500(13)-4274(45)-1920(2.0)]TJ 0 -9.464 Td [(14)-4274(14)-1920(1.0)-4500(14)-4274(46)-1920(2.0)]TJ 0 -9.465 Td [(15)-4274(15)-1920(1.0)-4500(15)-4274(47)-1920(2.0)]TJ 0 -9.464 Td [(16)-4274(16)-1920(1.0)-4500(16)-4274(48)-1920(2.0)]TJ 0 -9.465 Td [(17)-4274(17)-1920(1.0)-4500(17)-4274(49)-1920(2.0)]TJ 0 -9.464 Td [(18)-4274(18)-1920(1.0)-4500(18)-4274(50)-1920(2.0)]TJ 0 -9.465 Td [(19)-4274(19)-1920(1.0)-4500(19)-4274(51)-1920(2.0)]TJ 0 -9.464 Td [(20)-4274(20)-1920(1.0)-4500(20)-4274(52)-1920(2.0)]TJ 0 -9.465 Td [(21)-4274(21)-1920(1.0)-4500(21)-4274(53)-1920(2.0)]TJ 0 -9.464 Td [(22)-4274(22)-1920(1.0)-4500(22)-4274(54)-1920(2.0)]TJ 0 -9.465 Td [(23)-4274(23)-1920(1.0)-4500(23)-4274(55)-1920(2.0)]TJ 0 -9.464 Td [(24)-4274(24)-1920(1.0)-4500(24)-4274(56)-1920(2.0)]TJ 0 -9.465 Td [(25)-4274(25)-1920(1.5)-4500(25)-4274(57)-1920(2.0)]TJ 0 -9.464 Td [(26)-4274(26)-1920(1.5)-4500(26)-4274(58)-1920(2.0)]TJ 0 -9.465 Td [(27)-4274(27)-1920(1.5)-4500(27)-4274(59)-1920(2.0)]TJ 0 -9.464 Td [(28)-4274(28)-1920(1.5)-4500(28)-4274(60)-1920(2.0)]TJ 0 -9.465 Td [(29)-4274(29)-1920(1.5)-4500(29)-4274(61)-1920(2.0)]TJ 0 -9.464 Td [(30)-4274(30)-1920(1.5)-4500(30)-4274(62)-1920(2.0)]TJ 0 -9.465 Td [(31)-4274(31)-1920(1.5)-4500(31)-4274(63)-1920(2.0)]TJ 0 -9.464 Td [(32)-4274(32)-1920(1.5)-4500(32)-4274(64)-1920(2.0)]TJ 0 -9.465 Td [(33)-4274(33)-1920(1.5)-4500(33)-4274(25)-1920(1.5)]TJ 0 -9.464 Td [(34)-4274(34)-1920(1.5)-4500(34)-4274(26)-1920(1.5)]TJ 0 -9.465 Td [(35)-4274(35)-1920(1.5)-4500(35)-4274(27)-1920(1.5)]TJ 0 -9.464 Td [(36)-4274(36)-1920(1.5)-4500(36)-4274(28)-1920(1.5)]TJ 0 -9.465 Td [(37)-4274(37)-1920(1.5)-4500(37)-4274(29)-1920(1.5)]TJ 0 -9.464 Td [(38)-4274(38)-1920(1.5)-4500(38)-4274(30)-1920(1.5)]TJ 0 -9.465 Td [(39)-4274(39)-1920(1.5)-4500(39)-4274(31)-1920(1.5)]TJ 0 -9.464 Td [(40)-4274(40)-1920(1.5)-4500(40)-4274(32)-1920(1.5)]TJ 0 -9.465 Td [(41)-4274(41)-1920(2.0)-4500(41)-4274(17)-1920(1.0)]TJ 0 -9.464 Td [(42)-4274(42)-1920(2.0)-4500(42)-4274(18)-1920(1.0)]TJ 0 -9.465 Td [(43)-4274(43)-1920(2.0)-4500(43)-4274(19)-1920(1.0)]TJ 0 -9.464 Td [(44)-4274(44)-1920(2.0)-4500(44)-4274(20)-1920(1.0)]TJ 0 -9.465 Td [(45)-4274(45)-1920(2.0)-4500(45)-4274(21)-1920(1.0)]TJ 0 -9.464 Td [(46)-4274(46)-1920(2.0)-4500(46)-4274(22)-1920(1.0)]TJ 0 -9.465 Td [(47)-4274(47)-1920(2.0)-4500(47)-4274(23)-1920(1.0)]TJ 0 -9.464 Td [(48)-4274(48)-1920(2.0)-4500(48)-4274(24)-1920(1.0)]TJ
 0 g 0 G
 0 g 0 G
-/F54 9.9626 Tf 88.221 -98.979 Td [(64)]TJ
+/F57 9.9626 Tf 88.221 -98.979 Td [(64)]TJ
 0 g 0 G
 ET
 
@@ -14710,7 +14710,7 @@ Q
 0 g 0 G
 1 0 0 1 -104.053 -292.88 cm
 BT
-/F54 9.9626 Tf 189.276 261 Td [(Figur)18(e)-250(4:)-310(Sample)-250(discr)18(etization)-250(mesh.)]TJ
+/F57 9.9626 Tf 189.276 261 Td [(Figur)18(e)-250(4:)-310(Sample)-250(discr)18(etization)-250(mesh.)]TJ
 0 g 0 G
 0 g 0 G
 0 g 0 G
@@ -14887,61 +14887,61 @@ stream
 0 g 0 G
 0 g 0 G
 BT
-/F51 11.9552 Tf 150.705 706.129 Td [(5.3)-1000(psb)]TJ
+/F54 11.9552 Tf 150.705 706.129 Td [(5.3)-1000(psb)]TJ
 ET
 q
 1 0 0 1 198.238 706.328 cm
 []0 d 0 J 0.398 w 0 0 m 3.587 0 l S
 Q
 BT
-/F51 11.9552 Tf 201.825 706.129 Td [(gather)-250(\227)-250(Gather)-250(Global)-250(Dense)-250(Matrix)]TJ/F54 9.9626 Tf -51.12 -19.441 Td [(These)-280(subr)18(outines)-280(collect)-280(the)-280(portions)-280(of)-280(g)1(lobal)-280(dense)-280(matrix)-280(distributed)-280(over)]TJ 0 -11.955 Td [(all)-250(pr)18(ocess)-250(into)-250(one)-250(single)-250(array)-250(stor)18(ed)-250(on)-250(one)-250(pr)18(ocess.)]TJ/F52 9.9626 Tf 120.161 -25.465 Td [(g)-25(l)-55(o)-35(b)]TJ
+/F54 11.9552 Tf 201.825 706.129 Td [(gather)-250(\227)-250(Gather)-250(Global)-250(Dense)-250(Matrix)]TJ/F57 9.9626 Tf -51.12 -19.441 Td [(These)-280(subr)18(outines)-280(collect)-280(the)-280(portions)-280(of)-280(g)1(lobal)-280(dense)-280(matrix)-280(distributed)-280(over)]TJ 0 -11.955 Td [(all)-250(pr)18(ocess)-250(into)-250(one)-250(single)-250(array)-250(stor)18(ed)-250(on)-250(one)-250(pr)18(ocess.)]TJ/F55 9.9626 Tf 120.161 -25.465 Td [(g)-25(l)-55(o)-35(b)]TJ
 ET
 q
 1 0 0 1 289.521 649.467 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F52 9.9626 Tf 292.803 649.268 Td [(x)]TJ/F83 10.3811 Tf 8.097 0 Td [(\040)]TJ/F52 9.9626 Tf 13.398 0 Td [(c)-25(o)-35(l)-55(l)-55(e)-25(c)-25(t)]TJ/F85 10.3811 Tf 27.705 0 Td [(\050)]TJ/F52 9.9626 Tf 4.274 0 Td [(l)-55(o)-35(c)]TJ
+/F55 9.9626 Tf 292.803 649.268 Td [(x)]TJ/F86 10.3811 Tf 8.097 0 Td [(\040)]TJ/F55 9.9626 Tf 13.398 0 Td [(c)-25(o)-35(l)-55(l)-55(e)-25(c)-25(t)]TJ/F88 10.3811 Tf 27.705 0 Td [(\050)]TJ/F55 9.9626 Tf 4.274 0 Td [(l)-55(o)-35(c)]TJ
 ET
 q
 1 0 0 1 359.144 649.467 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F52 9.9626 Tf 362.427 649.268 Td [(x)]TJ/F52 7.5716 Tf 5.147 -1.96 Td [(i)]TJ/F85 10.3811 Tf 2.875 1.96 Td [(\051)]TJ/F54 9.9626 Tf -219.744 -22.41 Td [(wher)18(e:)]TJ
+/F55 9.9626 Tf 362.427 649.268 Td [(x)]TJ/F55 7.5716 Tf 5.147 -1.96 Td [(i)]TJ/F88 10.3811 Tf 2.875 1.96 Td [(\051)]TJ/F57 9.9626 Tf -219.744 -22.41 Td [(wher)18(e:)]TJ
 0 g 0 G
-/F52 9.9626 Tf 0.344 -20.664 Td [(g)-25(l)-55(o)-35(b)]TJ
+/F55 9.9626 Tf 0.344 -20.664 Td [(g)-25(l)-55(o)-35(b)]TJ
 ET
 q
 1 0 0 1 169.703 606.393 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F52 9.9626 Tf 172.986 606.194 Td [(x)]TJ
+/F55 9.9626 Tf 172.986 606.194 Td [(x)]TJ
 0 g 0 G
-/F54 9.9626 Tf 10.187 0 Td [(is)-250(the)-250(global)-250(submatrix)]TJ/F52 9.9626 Tf 103.256 0 Td [(g)-25(l)-55(o)-35(b)]TJ
+/F57 9.9626 Tf 10.187 0 Td [(is)-250(the)-250(global)-250(submatrix)]TJ/F55 9.9626 Tf 103.256 0 Td [(g)-25(l)-55(o)-35(b)]TJ
 ET
 q
 1 0 0 1 305.084 606.393 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F52 9.9626 Tf 308.366 606.194 Td [(x)]TJ/F54 7.5716 Tf 5.106 -1.858 Td [(1)-13(:)]TJ/F52 7.5716 Tf 5.963 0 Td [(m)]TJ/F54 7.5716 Tf 5.985 0 Td [(,1)-13(:)]TJ/F52 7.5716 Tf 7.856 0 Td [(n)]TJ
+/F55 9.9626 Tf 308.366 606.194 Td [(x)]TJ/F57 7.5716 Tf 5.106 -1.858 Td [(1)-13(:)]TJ/F55 7.5716 Tf 5.963 0 Td [(m)]TJ/F57 7.5716 Tf 5.985 0 Td [(,1)-13(:)]TJ/F55 7.5716 Tf 7.856 0 Td [(n)]TJ
 0 g 0 G
-/F52 9.9626 Tf -182.447 -19.051 Td [(l)-55(o)-35(c)]TJ
+/F55 9.9626 Tf -182.447 -19.051 Td [(l)-55(o)-35(c)]TJ
 ET
 q
 1 0 0 1 163.696 585.484 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F52 9.9626 Tf 166.979 585.285 Td [(x)]TJ/F52 7.5716 Tf 5.147 -1.96 Td [(i)]TJ
+/F55 9.9626 Tf 166.979 585.285 Td [(x)]TJ/F55 7.5716 Tf 5.147 -1.96 Td [(i)]TJ
 0 g 0 G
-/F54 9.9626 Tf 7.732 1.96 Td [(is)-250(the)-250(local)-250(portion)-250(of)-250(global)-250(dense)-250(matrix)-250(on)-250(pr)18(ocess)]TJ/F52 9.9626 Tf 234.034 0 Td [(i)]TJ/F54 9.9626 Tf 2.964 0 Td [(.)]TJ
+/F57 9.9626 Tf 7.732 1.96 Td [(is)-250(the)-250(local)-250(portion)-250(of)-250(global)-250(dense)-250(matrix)-250(on)-250(pr)18(ocess)]TJ/F55 9.9626 Tf 234.034 0 Td [(i)]TJ/F57 9.9626 Tf 2.964 0 Td [(.)]TJ
 0 g 0 G
-/F52 9.9626 Tf -266.027 -20.91 Td [(c)-25(o)-35(l)-55(l)-55(e)-25(c)-25(t)]TJ
+/F55 9.9626 Tf -266.027 -20.91 Td [(c)-25(o)-35(l)-55(l)-55(e)-25(c)-25(t)]TJ
 0 g 0 G
-/F54 9.9626 Tf 32.563 0 Td [(is)-250(the)-250(collect)-250(function.)]TJ
+/F57 9.9626 Tf 32.563 0 Td [(is)-250(the)-250(collect)-250(function.)]TJ
 0 g 0 G
 0 g 0 G
 0 g 0 G
@@ -14951,49 +14951,49 @@ q
 []0 d 0 J 0.398 w 0 0 m 184.337 0 l S
 Q
 BT
-/F52 9.9626 Tf 236.663 534.539 Td [(x)]TJ/F52 7.5716 Tf 5.148 -1.96 Td [(i)]TJ/F54 9.9626 Tf 2.75 1.96 Td [(,)]TJ/F52 9.9626 Tf 4.276 0 Td [(y)]TJ/F51 9.9626 Tf 108.448 0 Td [(Subroutine)]TJ
+/F55 9.9626 Tf 236.663 534.539 Td [(x)]TJ/F55 7.5716 Tf 5.148 -1.96 Td [(i)]TJ/F57 9.9626 Tf 2.75 1.96 Td [(,)]TJ/F55 9.9626 Tf 4.276 0 Td [(y)]TJ/F54 9.9626 Tf 108.448 0 Td [(Subroutine)]TJ
 ET
 q
 1 0 0 1 230.392 530.753 cm
 []0 d 0 J 0.398 w 0 0 m 184.337 0 l S
 Q
 BT
-/F54 9.9626 Tf 236.369 522.185 Td [(Integer)-8983(psb)]TJ
+/F57 9.9626 Tf 236.369 522.185 Td [(Integer)-8983(psb)]TJ
 ET
 q
 1 0 0 1 373.603 522.385 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F54 9.9626 Tf 376.592 522.185 Td [(gather)]TJ -140.223 -11.955 Td [(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ
+/F57 9.9626 Tf 376.592 522.185 Td [(gather)]TJ -140.223 -11.955 Td [(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ
 ET
 q
 1 0 0 1 373.603 510.429 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F54 9.9626 Tf 376.592 510.23 Td [(gather)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ
+/F57 9.9626 Tf 376.592 510.23 Td [(gather)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ
 ET
 q
 1 0 0 1 373.603 498.474 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F54 9.9626 Tf 376.592 498.275 Td [(gather)]TJ -140.223 -11.955 Td [(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ
+/F57 9.9626 Tf 376.592 498.275 Td [(gather)]TJ -140.223 -11.955 Td [(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ
 ET
 q
 1 0 0 1 373.603 486.519 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F54 9.9626 Tf 376.592 486.32 Td [(gather)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ
+/F57 9.9626 Tf 376.592 486.32 Td [(gather)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ
 ET
 q
 1 0 0 1 373.603 474.564 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F54 9.9626 Tf 376.592 474.365 Td [(gather)]TJ
+/F57 9.9626 Tf 376.592 474.365 Td [(gather)]TJ
 ET
 q
 1 0 0 1 230.392 470.579 cm
@@ -15001,11 +15001,11 @@ q
 Q
 0 g 0 G
 BT
-/F54 9.9626 Tf 278.277 442.2 Td [(T)92(able)-250(19:)-310(Data)-250(types)]TJ
+/F57 9.9626 Tf 278.277 442.2 Td [(T)92(able)-250(19:)-310(Data)-250(types)]TJ
 0 g 0 G
 0 g 0 G
 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG
-/F59 9.9626 Tf -127.572 -27.052 Td [(call)]TJ
+/F62 9.9626 Tf -127.572 -27.052 Td [(call)]TJ
 0 g 0 G
  [-525(psb_gather\050glob_x,)-525(loc_x,)-525(desc_a,)-525(info,)-525(root\051)]TJ
 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG
@@ -15013,11 +15013,11 @@ BT
 0 g 0 G
  [-525(psb_gather\050glob_x,)-525(loc_x,)-525(desc_a,)-525(info,)-525(root\051)]TJ
 0 g 0 G
-/F51 9.9626 Tf 0 -22.902 Td [(T)90(ype:)]TJ
+/F54 9.9626 Tf 0 -22.902 Td [(T)90(ype:)]TJ
 0 g 0 G
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-/F51 9.9626 Tf -24.907 -22.127 Td [(On)-250(Return)]TJ
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  0 -20.135 Td [(desc)]TJ
@@ -16245,44 +16245,44 @@ q
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 Q
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-/F51 9.9626 Tf 123.397 376.313 Td [(a)]TJ
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 0 0 1 rg 0 0 1 RG
-/F59 9.9626 Tf 168.138 0 Td [(psb)]TJ
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 ET
 q
 1 0 0 1 309.258 328.692 cm
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 Q
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-/F59 9.9626 Tf 312.397 328.492 Td [(desc)]TJ
+/F62 9.9626 Tf 312.397 328.492 Td [(desc)]TJ
 ET
 q
 1 0 0 1 333.945 328.692 cm
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 Q
 BT
-/F59 9.9626 Tf 337.084 328.492 Td [(type)]TJ
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-/F54 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ/F51 11.9552 Tf -24.907 -22.128 Td [(Notes)]TJ
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 ET
 
@@ -16296,58 +16296,58 @@ stream
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-/F51 9.9626 Tf 0 -15.594 Td [(glob)]TJ
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 ET
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+/F54 9.9626 Tf 0 -15.594 Td [(nv)]TJ
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+/F54 9.9626 Tf -138.121 -13.774 Td [(pv)]TJ
 0 g 0 G
-/F54 9.9626 Tf 16.608 0 Td [(A)-393(vector)-394(containing)-393(the)-394(indices)-393(of)-394(the)-394(pr)18(ocesses)-393(to)-394(which)-393(the)]TJ 2.022 -11.955 Td [(global)-357(index)-357(should)-356(be)-357(assigend;)-410(each)-357(entry)-357(must)-357(satisfy)-357(0)]TJ/F83 10.3811 Tf 270.063 0 Td [(\024)]TJ/F52 9.9626 Tf -269.39 -11.956 Td [(p)-25(v)]TJ/F85 10.3811 Tf 10.461 0 Td [(\050)]TJ/F52 9.9626 Tf 4.204 0 Td [(i)]TJ/F85 10.3811 Tf 3.088 0 Td [(\051)]TJ/F61 10.3811 Tf 8.665 0 Td [(<)]TJ/F52 9.9626 Tf 12.71 0 Td [(n)-80(p)]TJ/F54 9.9626 Tf 11.442 0 Td [(;)-382(if)]TJ/F52 9.9626 Tf 16.006 0 Td [(n)-25(v)]TJ/F61 10.3811 Tf 15.409 0 Td [(>)]TJ/F54 9.9626 Tf 12.586 0 Td [(1)-338(we)-338(have)-338(an)-338(index)-338(assigned)-338(to)-338(multiple)]TJ -95.244 -11.955 Td [(pr)18(ocesses,)-250(i.e.)-310(we)-250(have)-250(an)-250(overlap)-250(among)-250(the)-250(subdomains.)]TJ
+/F57 9.9626 Tf 16.608 0 Td [(A)-393(vector)-394(containing)-393(the)-394(indices)-393(of)-394(the)-394(pr)18(ocesses)-393(to)-394(which)-393(the)]TJ 2.022 -11.955 Td [(global)-357(index)-357(should)-356(be)-357(assigend;)-410(each)-357(entry)-357(must)-357(satisfy)-357(0)]TJ/F86 10.3811 Tf 270.063 0 Td [(\024)]TJ/F55 9.9626 Tf -269.39 -11.956 Td [(p)-25(v)]TJ/F88 10.3811 Tf 10.461 0 Td [(\050)]TJ/F55 9.9626 Tf 4.204 0 Td [(i)]TJ/F88 10.3811 Tf 3.088 0 Td [(\051)]TJ/F64 10.3811 Tf 8.665 0 Td [(<)]TJ/F55 9.9626 Tf 12.71 0 Td [(n)-80(p)]TJ/F57 9.9626 Tf 11.442 0 Td [(;)-382(if)]TJ/F55 9.9626 Tf 16.006 0 Td [(n)-25(v)]TJ/F64 10.3811 Tf 15.409 0 Td [(>)]TJ/F57 9.9626 Tf 12.586 0 Td [(1)-338(we)-338(have)-338(an)-338(index)-338(assigned)-338(to)-338(multiple)]TJ -95.244 -11.955 Td [(pr)18(ocesses,)-250(i.e.)-310(we)-250(have)-250(an)-250(overlap)-250(among)-250(the)-250(subdomains.)]TJ
 0 g 0 G
-/F51 9.9626 Tf -40.548 -15.594 Td [(vg)]TJ
+/F54 9.9626 Tf -40.548 -15.594 Td [(vg)]TJ
 0 g 0 G
-/F54 9.9626 Tf 16.06 0 Td [(In)-330(this)-330(case)-330(the)-330(association)-330(between)-331(an)-330(index)-330(and)-330(a)-330(pr)18(ocess)-330(is)-330(spec-)]TJ 5.858 -11.955 Td [(i\002ed)-371(via)-372(an)-371(integer)-372(vector)]TJ/F59 9.9626 Tf 120.986 0 Td [(vg\0501:mg\051)]TJ/F54 9.9626 Tf 41.842 0 Td [(;)-432(each)-372(index)]TJ/F52 9.9626 Tf 58.923 0 Td [(i)]TJ/F83 10.3811 Tf 8.096 0 Td [(2)-506(f)]TJ/F54 9.9626 Tf 17.485 0 Td [(1)-179(.)-192(.)-192(.)]TJ/F52 9.9626 Tf 19.967 0 Td [(m)-47(g)]TJ/F83 10.3811 Tf 13.449 0 Td [(g)]TJ/F54 9.9626 Tf 9.016 0 Td [(is)]TJ -289.764 -11.955 Td [(assigned)-381(to)-381(pr)18(ocess)]TJ/F52 9.9626 Tf 91.547 0 Td [(v)-47(g)]TJ/F85 10.3811 Tf 10.68 0 Td [(\050)]TJ/F52 9.9626 Tf 4.204 0 Td [(i)]TJ/F85 10.3811 Tf 3.089 0 Td [(\051)]TJ/F54 9.9626 Tf 4.149 0 Td [(.)-703(The)-380(vector)]TJ/F59 9.9626 Tf 61.203 0 Td [(vg)]TJ/F54 9.9626 Tf 14.255 0 Td [(must)-381(be)-381(identical)-381(on)-380(all)]TJ -189.127 -11.955 Td [(calling)-354(pr)18(ocesses;)-406(its)-355(entri)1(es)-355(may)-354(have)-354(the)-354(ranges)]TJ/F85 10.3811 Tf 226.209 0 Td [(\050)]TJ/F54 9.9626 Tf 4.149 0 Td [(0)-179(.)-192(.)-191(.)]TJ/F52 9.9626 Tf 19.967 0 Td [(n)-80(p)]TJ/F83 10.3811 Tf 13.888 0 Td [(\000)]TJ/F54 9.9626 Tf 10.515 0 Td [(1)]TJ/F85 10.3811 Tf 5.106 0 Td [(\051)]TJ/F54 9.9626 Tf 7.678 0 Td [(or)]TJ/F85 10.3811 Tf -287.387 -11.955 Td [(\050)]TJ/F54 9.9626 Tf 4.149 0 Td [(1)-179(.)-192(.)-191(.)]TJ/F52 9.9626 Tf 19.967 0 Td [(n)-80(p)]TJ/F85 10.3811 Tf 11.566 0 Td [(\051)]TJ/F54 9.9626 Tf 6.984 0 Td [(accor)18(ding)-284(to)-285(the)-284(value)-285(of)]TJ/F59 9.9626 Tf 113.068 0 Td [(flag)]TJ/F54 9.9626 Tf 20.922 0 Td [(.)-413(The)-285(size)]TJ/F52 9.9626 Tf 45.955 0 Td [(m)-47(g)]TJ/F54 9.9626 Tf 16.159 0 Td [(may)-285(be)-284(spec-)]TJ -238.895 -11.955 Td [(i\002ed)-349(via)-349(the)-349(optional)-349(ar)18(gument)]TJ/F59 9.9626 Tf 144.092 0 Td [(mg)]TJ/F54 9.9626 Tf 10.46 0 Td [(;)-399(the)-349(default)-349(is)-349(to)-349(use)-349(the)-349(entir)18(e)]TJ -154.552 -11.956 Td [(vector)]TJ/F59 9.9626 Tf 29.937 0 Td [(vg)]TJ/F54 9.9626 Tf 10.461 0 Td [(,)-250(thus)-250(having)]TJ/F59 9.9626 Tf 59.885 0 Td [(mg=size\050vg\051)]TJ/F54 9.9626 Tf 57.534 0 Td [(.)]TJ
+/F57 9.9626 Tf 16.06 0 Td [(In)-330(this)-330(case)-330(the)-330(association)-330(between)-331(an)-330(index)-330(and)-330(a)-330(pr)18(ocess)-330(is)-330(spec-)]TJ 5.858 -11.955 Td [(i\002ed)-371(via)-372(an)-371(integer)-372(vector)]TJ/F62 9.9626 Tf 120.986 0 Td [(vg\0501:mg\051)]TJ/F57 9.9626 Tf 41.842 0 Td [(;)-432(each)-372(index)]TJ/F55 9.9626 Tf 58.923 0 Td [(i)]TJ/F86 10.3811 Tf 8.096 0 Td [(2)-506(f)]TJ/F57 9.9626 Tf 17.485 0 Td [(1)-179(.)-192(.)-192(.)]TJ/F55 9.9626 Tf 19.967 0 Td [(m)-47(g)]TJ/F86 10.3811 Tf 13.449 0 Td [(g)]TJ/F57 9.9626 Tf 9.016 0 Td [(is)]TJ -289.764 -11.955 Td [(assigned)-381(to)-381(pr)18(ocess)]TJ/F55 9.9626 Tf 91.547 0 Td [(v)-47(g)]TJ/F88 10.3811 Tf 10.68 0 Td [(\050)]TJ/F55 9.9626 Tf 4.204 0 Td [(i)]TJ/F88 10.3811 Tf 3.089 0 Td [(\051)]TJ/F57 9.9626 Tf 4.149 0 Td [(.)-703(The)-380(vector)]TJ/F62 9.9626 Tf 61.203 0 Td [(vg)]TJ/F57 9.9626 Tf 14.255 0 Td [(must)-381(be)-381(identical)-381(on)-380(all)]TJ -189.127 -11.955 Td [(calling)-354(pr)18(ocesses;)-406(its)-355(entri)1(es)-355(may)-354(have)-354(the)-354(ranges)]TJ/F88 10.3811 Tf 226.209 0 Td [(\050)]TJ/F57 9.9626 Tf 4.149 0 Td [(0)-179(.)-192(.)-191(.)]TJ/F55 9.9626 Tf 19.967 0 Td [(n)-80(p)]TJ/F86 10.3811 Tf 13.888 0 Td [(\000)]TJ/F57 9.9626 Tf 10.515 0 Td [(1)]TJ/F88 10.3811 Tf 5.106 0 Td [(\051)]TJ/F57 9.9626 Tf 7.678 0 Td [(or)]TJ/F88 10.3811 Tf -287.387 -11.955 Td [(\050)]TJ/F57 9.9626 Tf 4.149 0 Td [(1)-179(.)-192(.)-191(.)]TJ/F55 9.9626 Tf 19.967 0 Td [(n)-80(p)]TJ/F88 10.3811 Tf 11.566 0 Td [(\051)]TJ/F57 9.9626 Tf 6.984 0 Td [(accor)18(ding)-284(to)-285(the)-284(value)-285(of)]TJ/F62 9.9626 Tf 113.068 0 Td [(flag)]TJ/F57 9.9626 Tf 20.922 0 Td [(.)-413(The)-285(size)]TJ/F55 9.9626 Tf 45.955 0 Td [(m)-47(g)]TJ/F57 9.9626 Tf 16.159 0 Td [(may)-285(be)-284(spec-)]TJ -238.895 -11.955 Td [(i\002ed)-349(via)-349(the)-349(optional)-349(ar)18(gument)]TJ/F62 9.9626 Tf 144.092 0 Td [(mg)]TJ/F57 9.9626 Tf 10.46 0 Td [(;)-399(the)-349(default)-349(is)-349(to)-349(use)-349(the)-349(entir)18(e)]TJ -154.552 -11.956 Td [(vector)]TJ/F62 9.9626 Tf 29.937 0 Td [(vg)]TJ/F57 9.9626 Tf 10.461 0 Td [(,)-250(thus)-250(having)]TJ/F62 9.9626 Tf 59.885 0 Td [(mg=size\050vg\051)]TJ/F57 9.9626 Tf 57.534 0 Td [(.)]TJ
 0 g 0 G
-/F51 9.9626 Tf -179.735 -15.593 Td [(vl)]TJ
+/F54 9.9626 Tf -179.735 -15.593 Td [(vl)]TJ
 0 g 0 G
-/F54 9.9626 Tf 13.838 0 Td [(In)-383(this)-382(case)-383(we)-383(ar)18(e)-382(specifying)-383(the)-383(list)-382(of)-383(indices)]TJ/F59 9.9626 Tf 220.787 0 Td [(vl\0501:nl\051)]TJ/F54 9.9626 Tf 45.655 0 Td [(assigned)]TJ -258.362 -11.955 Td [(to)-401(the)-400(curr)18(ent)-401(pr)18(ocess;)-476(thus,)-438(the)-400(global)-401(pr)18(oblem)-400(size)]TJ/F52 9.9626 Tf 243.82 0 Td [(m)-47(g)]TJ/F54 9.9626 Tf 17.316 0 Td [(is)-401(given)]TJ -261.136 -11.956 Td [(by)-435(the)-435(range)-435(of)-435(the)-435(aggr)18(egate)-435(of)-435(the)-435(individual)-435(vectors)]TJ/F59 9.9626 Tf 259.368 0 Td [(vl)]TJ/F54 9.9626 Tf 14.794 0 Td [(spec-)]TJ -274.162 -11.955 Td [(i\002ed)-429(in)-429(the)-429(calling)-428(pr)18(ocesses.)-847(The)-429(size)-429(may)-429(be)-428(speci\002ed)-429(via)-429(the)]TJ 0 -11.955 Td [(optional)-438(ar)18(gument)]TJ/F59 9.9626 Tf 88.319 0 Td [(nl)]TJ/F54 9.9626 Tf 10.46 0 Td [(;)-532(the)-438(default)-438(is)-438(to)-438(use)-438(the)-438(entir)18(e)-438(vector)]TJ/F59 9.9626 Tf 185.156 0 Td [(vl)]TJ/F54 9.9626 Tf 10.461 0 Td [(,)]TJ -294.396 -11.955 Td [(thus)-364(having)]TJ/F59 9.9626 Tf 57.178 0 Td [(nl=size\050vl\051)]TJ/F54 9.9626 Tf 57.534 0 Td [(.)-652(If)]TJ/F59 9.9626 Tf 19.294 0 Td [(globalcheck=.true.)]TJ/F54 9.9626 Tf 97.774 0 Td [(the)-364(subr)18(outine)]TJ -231.78 -11.955 Td [(will)-403(check)-403(how)-404(many)-403(times)-403(each)-403(entry)-403(in)-404(the)-403(global)-403(index)-403(space)]TJ/F85 10.3811 Tf 0.125 -11.955 Td [(\050)]TJ/F54 9.9626 Tf 4.149 0 Td [(1)-179(.)-192(.)-191(.)]TJ/F52 9.9626 Tf 19.967 0 Td [(m)-47(g)]TJ/F85 10.3811 Tf 13.449 0 Td [(\051)]TJ/F54 9.9626 Tf 6.245 0 Td [(is)-210(speci\002ed)-211(in)-210(the)-210(input)-210(lists)]TJ/F59 9.9626 Tf 122.836 0 Td [(vl)]TJ/F54 9.9626 Tf 10.461 0 Td [(,)-218(thus)-211(allowin)1(g)-211(for)-210(the)-210(pr)18(es-)]TJ -177.232 -11.956 Td [(ence)-302(of)-302(overlap)-302(in)-302(the)-302(input,)-315(and)-302(checki)1(ng)-302(for)-302(\223orphan\224)-302(indices.)-466(If)]TJ/F59 9.9626 Tf 0 -11.955 Td [(globalcheck=.false.)]TJ/F54 9.9626 Tf 99.377 0 Td [(,)-437(the)-400(subr)18(outine)-400(will)-400(not)-400(check)-400(for)-400(overlap,)]TJ -99.377 -11.955 Td [(and)-255(may)-255(be)-255(signi\002cantly)-255(faster)74(,)-257(but)-255(the)-255(user)-255(is)-255(implicitly)-255(guarantee-)]TJ 0 -11.955 Td [(ing)-250(that)-250(ther)18(e)-250(ar)18(e)-250(neither)-250(orphan)-250(nor)-250(overlap)-250(indices.)]TJ
+/F57 9.9626 Tf 13.838 0 Td [(In)-383(this)-382(case)-383(we)-383(ar)18(e)-382(specifying)-383(the)-383(list)-382(of)-383(indices)]TJ/F62 9.9626 Tf 220.787 0 Td [(vl\0501:nl\051)]TJ/F57 9.9626 Tf 45.655 0 Td [(assigned)]TJ -258.362 -11.955 Td [(to)-401(the)-400(curr)18(ent)-401(pr)18(ocess;)-476(thus,)-438(the)-400(global)-401(pr)18(oblem)-400(size)]TJ/F55 9.9626 Tf 243.82 0 Td [(m)-47(g)]TJ/F57 9.9626 Tf 17.316 0 Td [(is)-401(given)]TJ -261.136 -11.956 Td [(by)-435(the)-435(range)-435(of)-435(the)-435(aggr)18(egate)-435(of)-435(the)-435(individual)-435(vectors)]TJ/F62 9.9626 Tf 259.368 0 Td [(vl)]TJ/F57 9.9626 Tf 14.794 0 Td [(spec-)]TJ -274.162 -11.955 Td [(i\002ed)-429(in)-429(the)-429(calling)-428(pr)18(ocesses.)-847(The)-429(size)-429(may)-429(be)-428(speci\002ed)-429(via)-429(the)]TJ 0 -11.955 Td [(optional)-438(ar)18(gument)]TJ/F62 9.9626 Tf 88.319 0 Td [(nl)]TJ/F57 9.9626 Tf 10.46 0 Td [(;)-532(the)-438(default)-438(is)-438(to)-438(use)-438(the)-438(entir)18(e)-438(vector)]TJ/F62 9.9626 Tf 185.156 0 Td [(vl)]TJ/F57 9.9626 Tf 10.461 0 Td [(,)]TJ -294.396 -11.955 Td [(thus)-364(having)]TJ/F62 9.9626 Tf 57.178 0 Td [(nl=size\050vl\051)]TJ/F57 9.9626 Tf 57.534 0 Td [(.)-652(If)]TJ/F62 9.9626 Tf 19.294 0 Td [(globalcheck=.true.)]TJ/F57 9.9626 Tf 97.774 0 Td [(the)-364(subr)18(outine)]TJ -231.78 -11.955 Td [(will)-403(check)-403(how)-404(many)-403(times)-403(each)-403(entry)-403(in)-404(the)-403(global)-403(index)-403(space)]TJ/F88 10.3811 Tf 0.125 -11.955 Td [(\050)]TJ/F57 9.9626 Tf 4.149 0 Td [(1)-179(.)-192(.)-191(.)]TJ/F55 9.9626 Tf 19.967 0 Td [(m)-47(g)]TJ/F88 10.3811 Tf 13.449 0 Td [(\051)]TJ/F57 9.9626 Tf 6.245 0 Td [(is)-210(speci\002ed)-211(in)-210(the)-210(input)-210(lists)]TJ/F62 9.9626 Tf 122.836 0 Td [(vl)]TJ/F57 9.9626 Tf 10.461 0 Td [(,)-218(thus)-211(allowin)1(g)-211(for)-210(the)-210(pr)18(es-)]TJ -177.232 -11.956 Td [(ence)-302(of)-302(overlap)-302(in)-302(the)-302(input,)-315(and)-302(checki)1(ng)-302(for)-302(\223orphan\224)-302(indices.)-466(If)]TJ/F62 9.9626 Tf 0 -11.955 Td [(globalcheck=.false.)]TJ/F57 9.9626 Tf 99.377 0 Td [(,)-437(the)-400(subr)18(outine)-400(will)-400(not)-400(check)-400(for)-400(overlap,)]TJ -99.377 -11.955 Td [(and)-255(may)-255(be)-255(signi\002cantly)-255(faster)74(,)-257(but)-255(the)-255(user)-255(is)-255(implicitly)-255(guarantee-)]TJ 0 -11.955 Td [(ing)-250(that)-250(ther)18(e)-250(ar)18(e)-250(neither)-250(orphan)-250(nor)-250(overlap)-250(indices.)]TJ
 0 g 0 G
-/F51 9.9626 Tf -21.918 -15.594 Td [(lidx)]TJ
+/F54 9.9626 Tf -21.918 -15.594 Td [(lidx)]TJ
 0 g 0 G
-/F54 9.9626 Tf 22.685 0 Td [(The)-377(optional)-376(ar)18(gument)]TJ/F59 9.9626 Tf 107.528 0 Td [(lidx)]TJ/F54 9.9626 Tf 24.674 0 Td [(is)-377(available)-376(for)-377(those)-377(cases)-377(in)-376(which)]TJ -132.969 -11.955 Td [(the)-361(user)-361(has)-361(alr)18(eady)-361(established)-361(a)-361(global-to-local)-361(mapping;)-416(if)-361(it)-361(is)]TJ 0 -11.955 Td [(speci\002ed,)-253(each)-253(index)-253(in)]TJ/F59 9.9626 Tf 105.128 0 Td [(vl\050i\051)]TJ/F54 9.9626 Tf 28.669 0 Td [(will)-253(be)-252(mapped)-253(to)-253(the)-252(corr)18(esponding)]TJ -133.797 -11.955 Td [(local)-317(index)]TJ/F59 9.9626 Tf 51.649 0 Td [(lidx\050i\051)]TJ/F54 9.9626 Tf 36.612 0 Td [(.)-510(When)-317(specifying)-316(the)-317(ar)18(gument)]TJ/F59 9.9626 Tf 148.638 0 Td [(lidx)]TJ/F54 9.9626 Tf 24.076 0 Td [(the)-317(user)]TJ -260.975 -11.956 Td [(would)-329(also)-330(likely)-329(employ)]TJ/F59 9.9626 Tf 117.394 0 Td [(lidx)]TJ/F54 9.9626 Tf 24.203 0 Td [(in)-329(calls)-330(to)]TJ/F59 9.9626 Tf 46.656 0 Td [(psb_cdins)]TJ/F54 9.9626 Tf 50.355 0 Td [(and)]TJ/F59 9.9626 Tf 20.148 0 Td [(local)]TJ/F54 9.9626 Tf 29.433 0 Td [(in)]TJ -288.189 -11.955 Td [(calls)-250(to)]TJ/F59 9.9626 Tf 33.095 0 Td [(psb_spins)]TJ/F54 9.9626 Tf 49.564 0 Td [(and)]TJ/F59 9.9626 Tf 19.358 0 Td [(psb_geins)]TJ/F54 9.9626 Tf 47.073 0 Td [(;)-250(see)-250(also)-250(sec.)]TJ
+/F57 9.9626 Tf 22.685 0 Td [(The)-377(optional)-376(ar)18(gument)]TJ/F62 9.9626 Tf 107.528 0 Td [(lidx)]TJ/F57 9.9626 Tf 24.674 0 Td [(is)-377(available)-376(for)-377(those)-377(cases)-377(in)-376(which)]TJ -132.969 -11.955 Td [(the)-361(user)-361(has)-361(alr)18(eady)-361(established)-361(a)-361(global-to-local)-361(mapping;)-416(if)-361(it)-361(is)]TJ 0 -11.955 Td [(speci\002ed,)-253(each)-253(index)-253(in)]TJ/F62 9.9626 Tf 105.128 0 Td [(vl\050i\051)]TJ/F57 9.9626 Tf 28.669 0 Td [(will)-253(be)-252(mapped)-253(to)-253(the)-252(corr)18(esponding)]TJ -133.797 -11.955 Td [(local)-317(index)]TJ/F62 9.9626 Tf 51.649 0 Td [(lidx\050i\051)]TJ/F57 9.9626 Tf 36.612 0 Td [(.)-510(When)-317(specifying)-316(the)-317(ar)18(gument)]TJ/F62 9.9626 Tf 148.638 0 Td [(lidx)]TJ/F57 9.9626 Tf 24.076 0 Td [(the)-317(user)]TJ -260.975 -11.956 Td [(would)-329(also)-330(likely)-329(employ)]TJ/F62 9.9626 Tf 117.394 0 Td [(lidx)]TJ/F57 9.9626 Tf 24.203 0 Td [(in)-329(calls)-330(to)]TJ/F62 9.9626 Tf 46.656 0 Td [(psb_cdins)]TJ/F57 9.9626 Tf 50.355 0 Td [(and)]TJ/F62 9.9626 Tf 20.148 0 Td [(local)]TJ/F57 9.9626 Tf 29.433 0 Td [(in)]TJ -288.189 -11.955 Td [(calls)-250(to)]TJ/F62 9.9626 Tf 33.095 0 Td [(psb_spins)]TJ/F57 9.9626 Tf 49.564 0 Td [(and)]TJ/F62 9.9626 Tf 19.358 0 Td [(psb_geins)]TJ/F57 9.9626 Tf 47.073 0 Td [(;)-250(see)-250(also)-250(sec.)]TJ
 0 0 1 rg 0 0 1 RG
  [-250(2.3.1)]TJ
 0 g 0 G
  [(.)]TJ
 0 g 0 G
-/F51 9.9626 Tf -171.008 -15.593 Td [(nl)]TJ
+/F54 9.9626 Tf -171.008 -15.593 Td [(nl)]TJ
 0 g 0 G
-/F54 9.9626 Tf 14.386 0 Td [(If)-411(this)-411(ar)18(gument)-411(is)-411(speci\002ed)-411(alone)-411(\050i.e.)-793(without)]TJ/F59 9.9626 Tf 223.432 0 Td [(vl)]TJ/F54 9.9626 Tf 10.461 0 Td [(\051)-411(the)-411(r)18(esult)-411(is)-411(a)]TJ -226.361 -11.956 Td [(generalized)-280(r)18(ow-block)-280(distribution)-280(in)-280(which)-281(each)-280(pr)18(ocess)]TJ/F52 9.9626 Tf 257.148 0 Td [(I)]TJ/F54 9.9626 Tf 6.642 0 Td [(gets)-280(as-)]TJ -263.79 -11.955 Td [(signed)-250(a)-250(consecutive)-250(chunk)-250(of)]TJ/F52 9.9626 Tf 135.186 0 Td [(N)]TJ/F52 7.5716 Tf 7.851 -1.808 Td [(I)]TJ/F85 10.3811 Tf 6.316 1.808 Td [(=)]TJ/F52 9.9626 Tf 11.086 0 Td [(n)-25(l)]TJ/F54 9.9626 Tf 11.472 0 Td [(global)-250(indices.)]TJ
+/F57 9.9626 Tf 14.386 0 Td [(If)-411(this)-411(ar)18(gument)-411(is)-411(speci\002ed)-411(alone)-411(\050i.e.)-793(without)]TJ/F62 9.9626 Tf 223.432 0 Td [(vl)]TJ/F57 9.9626 Tf 10.461 0 Td [(\051)-411(the)-411(r)18(esult)-411(is)-411(a)]TJ -226.361 -11.956 Td [(generalized)-280(r)18(ow-block)-280(distribution)-280(in)-280(which)-281(each)-280(pr)18(ocess)]TJ/F55 9.9626 Tf 257.148 0 Td [(I)]TJ/F57 9.9626 Tf 6.642 0 Td [(gets)-280(as-)]TJ -263.79 -11.955 Td [(signed)-250(a)-250(consecutive)-250(chunk)-250(of)]TJ/F55 9.9626 Tf 135.186 0 Td [(N)]TJ/F55 7.5716 Tf 7.851 -1.808 Td [(I)]TJ/F88 10.3811 Tf 6.316 1.808 Td [(=)]TJ/F55 9.9626 Tf 11.086 0 Td [(n)-25(l)]TJ/F57 9.9626 Tf 11.472 0 Td [(global)-250(indices.)]TJ
 0 g 0 G
-/F51 9.9626 Tf -193.829 -15.593 Td [(repl)]TJ
+/F54 9.9626 Tf -193.829 -15.593 Td [(repl)]TJ
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-/F54 9.9626 Tf 23.243 0 Td [(This)-418(ar)18(guments)-417(speci\002es)-418(to)-417(r)18(eplicate)-418(all)-417(indices)-418(on)-418(all)-417(pr)18(ocesses.)]TJ -1.325 -11.956 Td [(This)-366(is)-367(a)-366(special)-366(purpose)-366(data)-367(allocation)-366(that)-366(is)-366(useful)-367(in)-366(the)-366(con-)]TJ 0 -11.955 Td [(str)8(uction)-250(of)-250(some)-250(multilevel)-250(pr)18(econditioners.)]TJ
+/F57 9.9626 Tf 23.243 0 Td [(This)-418(ar)18(guments)-417(speci\002es)-418(to)-417(r)18(eplicate)-418(all)-417(indices)-418(on)-418(all)-417(pr)18(ocesses.)]TJ -1.325 -11.956 Td [(This)-366(is)-367(a)-366(special)-366(purpose)-366(data)-367(allocation)-366(that)-366(is)-366(useful)-367(in)-366(the)-366(con-)]TJ 0 -11.955 Td [(str)8(uction)-250(of)-250(some)-250(multilevel)-250(pr)18(econditioners.)]TJ
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  -34.371 -19.579 Td [(2.)]TJ
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@@ -16368,25 +16368,25 @@ stream
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 BT
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- [-500(Calling)-260(the)-260(r)18(outine)-260(with)]TJ/F59 9.9626 Tf 120.886 0 Td [(vg)]TJ/F54 9.9626 Tf 13.052 0 Td [(or)]TJ/F59 9.9626 Tf 11.965 0 Td [(parts)]TJ/F54 9.9626 Tf 28.742 0 Td [(implies)-260(that)-260(every)-260(pr)18(ocess)-260(will)-260(scan)]TJ -162.192 -11.955 Td [(the)-250(entir)18(e)-250(index)-250(space)-250(to)-250(\002gur)18(e)-250(out)-250(the)-250(local)-250(indices.)]TJ
+ [-500(Calling)-260(the)-260(r)18(outine)-260(with)]TJ/F62 9.9626 Tf 120.886 0 Td [(vg)]TJ/F57 9.9626 Tf 13.052 0 Td [(or)]TJ/F62 9.9626 Tf 11.965 0 Td [(parts)]TJ/F57 9.9626 Tf 28.742 0 Td [(implies)-260(that)-260(every)-260(pr)18(ocess)-260(will)-260(scan)]TJ -162.192 -11.955 Td [(the)-250(entir)18(e)-250(index)-250(space)-250(to)-250(\002gur)18(e)-250(out)-250(the)-250(local)-250(indices.)]TJ
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- [-500(Overlapped)-250(indices)-250(ar)18(e)-250(possible)-250(with)-250(both)]TJ/F59 9.9626 Tf 201.093 0 Td [(parts)]TJ/F54 9.9626 Tf 28.643 0 Td [(and)]TJ/F59 9.9626 Tf 19.357 0 Td [(vl)]TJ/F54 9.9626 Tf 12.951 0 Td [(invocations.)]TJ
+ [-500(Overlapped)-250(indices)-250(ar)18(e)-250(possible)-250(with)-250(both)]TJ/F62 9.9626 Tf 201.093 0 Td [(parts)]TJ/F57 9.9626 Tf 28.643 0 Td [(and)]TJ/F62 9.9626 Tf 19.357 0 Td [(vl)]TJ/F57 9.9626 Tf 12.951 0 Td [(invocations.)]TJ
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- [-500(When)-190(the)-190(subr)18(outine)-190(is)-190(invoked)-190(with)]TJ/F59 9.9626 Tf 175.161 0 Td [(vl)]TJ/F54 9.9626 Tf 12.354 0 Td [(in)-190(conjunction)-190(with)]TJ/F59 9.9626 Tf 86.235 0 Td [(globalcheck=.true.)]TJ/F54 9.9626 Tf 94.146 0 Td [(,)]TJ -355.443 -11.955 Td [(it)-280(will)-281(perform)-280(a)-280(scan)-281(of)-280(the)-281(index)-280(space)-280(to)-281(sear)18(ch)-280(for)-280(overlap)-281(or)-280(orphan)]TJ 0 -11.955 Td [(indices.)]TJ
+ [-500(When)-190(the)-190(subr)18(outine)-190(is)-190(invoked)-190(with)]TJ/F62 9.9626 Tf 175.161 0 Td [(vl)]TJ/F57 9.9626 Tf 12.354 0 Td [(in)-190(conjunction)-190(with)]TJ/F62 9.9626 Tf 86.235 0 Td [(globalcheck=.true.)]TJ/F57 9.9626 Tf 94.146 0 Td [(,)]TJ -355.443 -11.955 Td [(it)-280(will)-281(perform)-280(a)-280(scan)-281(of)-280(the)-281(index)-280(space)-280(to)-281(sear)18(ch)-280(for)-280(overlap)-281(or)-280(orphan)]TJ 0 -11.955 Td [(indices.)]TJ
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- [-500(When)-190(the)-190(subr)18(outine)-190(is)-190(invoked)-190(with)]TJ/F59 9.9626 Tf 175.161 0 Td [(vl)]TJ/F54 9.9626 Tf 12.354 0 Td [(in)-190(conjunction)-190(with)]TJ/F59 9.9626 Tf 86.235 0 Td [(globalcheck=.false.)]TJ/F54 9.9626 Tf 99.377 0 Td [(,)]TJ -360.674 -11.956 Td [(no)-338(index)-337(space)-338(scan)-337(will)-338(take)-337(place.)-573(Thus)-337(it)-338(is)-338(the)-337(r)18(esponsibility)-338(of)-337(the)]TJ 0 -11.955 Td [(user)-328(to)-328(make)-328(sur)18(e)-328(that)-328(the)-328(indices)-328(speci\002ed)-328(in)]TJ/F59 9.9626 Tf 209.973 0 Td [(vl)]TJ/F54 9.9626 Tf 13.729 0 Td [(have)-328(neither)-328(orphans)]TJ -223.702 -11.955 Td [(nor)-250(overlaps;)-250(if)-250(this)-250(assumption)-250(fails,)-250(r)18(esults)-250(will)-250(be)-250(unpr)18(edictable.)]TJ
+ [-500(When)-190(the)-190(subr)18(outine)-190(is)-190(invoked)-190(with)]TJ/F62 9.9626 Tf 175.161 0 Td [(vl)]TJ/F57 9.9626 Tf 12.354 0 Td [(in)-190(conjunction)-190(with)]TJ/F62 9.9626 Tf 86.235 0 Td [(globalcheck=.false.)]TJ/F57 9.9626 Tf 99.377 0 Td [(,)]TJ -360.674 -11.956 Td [(no)-338(index)-337(space)-338(scan)-337(will)-338(take)-337(place.)-573(Thus)-337(it)-338(is)-338(the)-337(r)18(esponsibility)-338(of)-337(the)]TJ 0 -11.955 Td [(user)-328(to)-328(make)-328(sur)18(e)-328(that)-328(the)-328(indices)-328(speci\002ed)-328(in)]TJ/F62 9.9626 Tf 209.973 0 Td [(vl)]TJ/F57 9.9626 Tf 13.729 0 Td [(have)-328(neither)-328(orphans)]TJ -223.702 -11.955 Td [(nor)-250(overlaps;)-250(if)-250(this)-250(assumption)-250(fails,)-250(r)18(esults)-250(will)-250(be)-250(unpr)18(edictable.)]TJ
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+ [-500(Orphan)-417(and)-416(overlap)-417(indices)-416(ar)18(e)-417(impossible)-416(by)-417(constr)8(uction)-417(when)-416(the)]TJ 12.453 -11.955 Td [(subr)18(outine)-250(is)-250(invoked)-250(with)]TJ/F62 9.9626 Tf 121.164 0 Td [(nl)]TJ/F57 9.9626 Tf 12.951 0 Td [(\050alone\051,)-250(or)]TJ/F62 9.9626 Tf 47.372 0 Td [(vg)]TJ/F57 9.9626 Tf 10.461 0 Td [(.)]TJ
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@@ -16402,46 +16402,46 @@ stream
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-/F51 11.9552 Tf 150.705 706.129 Td [(6.2)-1000(psb)]TJ
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 1 0 0 1 198.238 706.328 cm
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 Q
 BT
-/F51 11.9552 Tf 201.825 706.129 Td [(cdins)-250(\227)-250(Communication)-250(descriptor)-250(insert)-250(routine)]TJ
+/F54 11.9552 Tf 201.825 706.129 Td [(cdins)-250(\227)-250(Communication)-250(descriptor)-250(insert)-250(routine)]TJ
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+/F57 9.9626 Tf 16.05 0 Td [(the)-250(number)-250(of)-250(points)-250(being)-250(inserted.)]TJ 8.857 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.431 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ -53.01 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf 39.292 0 Td [(.)]TJ -66.38 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(value.)]TJ
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+/F57 9.9626 Tf 13.28 0 Td [(the)-250(indices)-250(of)-250(the)-250(end)-250(vertex)-250(of)-250(the)-250(edges)-250(being)-250(inserted.)]TJ 11.627 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.431 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ -53.01 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf 39.292 0 Td [(.)]TJ -66.38 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(array)-250(of)-250(length)]TJ/F55 9.9626 Tf 171.978 0 Td [(n)-25(z)]TJ/F57 9.9626 Tf 10.336 0 Td [(.)]TJ
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-/F51 9.9626 Tf -207.221 -20.366 Td [(On)-250(Return)]TJ
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@@ -16451,27 +16451,27 @@ q
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-/F54 9.9626 Tf 9.962 0 Td [(the)-250(updated)-250(communication)-250(descriptor)74(.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 28.344 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -49.923 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 24 0 Td [(required)]TJ/F54 9.9626 Tf 39.293 0 Td [(.)]TJ -63.293 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(inout)]TJ/F54 9.9626 Tf 24.348 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ
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-/F59 9.9626 Tf 168.138 0 Td [(psb)]TJ
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 ET
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-/F59 9.9626 Tf 363.206 120.326 Td [(desc)]TJ
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 ET
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 1 0 0 1 384.755 120.525 cm
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-/F59 9.9626 Tf 387.893 120.326 Td [(type)]TJ
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@@ -16488,19 +16488,19 @@ stream
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-/F54 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ
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-/F51 9.9626 Tf -24.907 -19.925 Td [(ila)]TJ
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@@ -16530,23 +16530,23 @@ stream
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+/F54 11.9552 Tf 150.705 706.129 Td [(6.3)-1000(psb)]TJ
 ET
 q
 1 0 0 1 198.238 706.328 cm
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-/F51 11.9552 Tf 201.825 706.129 Td [(cdasb)-250(\227)-250(Communication)-250(descriptor)-250(assembly)-250(routine)]TJ
+/F54 11.9552 Tf 201.825 706.129 Td [(cdasb)-250(\227)-250(Communication)-250(descriptor)-250(assembly)-250(routine)]TJ
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-/F59 9.9626 Tf -51.12 -18.964 Td [(call)-525(psb_cdasb\050desc_a,)-525(info)-525([,)-525(mold]\051)]TJ
+/F62 9.9626 Tf -51.12 -18.964 Td [(call)-525(psb_cdasb\050desc_a,)-525(info)-525([,)-525(mold]\051)]TJ
 0 g 0 G
-/F51 9.9626 Tf 0 -21.918 Td [(T)90(ype:)]TJ
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-/F54 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ
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-/F51 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ
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@@ -16556,61 +16556,61 @@ q
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-/F59 9.9626 Tf 168.138 0 Td [(psb)]TJ
+/F62 9.9626 Tf 168.138 0 Td [(psb)]TJ
 ET
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 1 0 0 1 360.068 577.775 cm
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-/F59 9.9626 Tf 363.206 577.576 Td [(desc)]TJ
+/F62 9.9626 Tf 363.206 577.576 Td [(desc)]TJ
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 1 0 0 1 384.755 577.775 cm
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-/F59 9.9626 Tf 387.893 577.576 Td [(type)]TJ
+/F62 9.9626 Tf 387.893 577.576 Td [(type)]TJ
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+/F57 9.9626 Tf 20.922 0 Td [(.)]TJ
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-/F51 9.9626 Tf -258.11 -19.925 Td [(mold)]TJ
+/F54 9.9626 Tf -258.11 -19.925 Td [(mold)]TJ
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-/F54 9.9626 Tf 28.782 0 Td [(The)-250(desir)18(ed)-250(dynamic)-250(type)-250(for)-250(the)-250(internal)-250(index)-250(storage.)]TJ -3.875 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.431 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -53.011 -11.956 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(optional)]TJ/F54 9.9626 Tf 38.186 0 Td [(.)]TJ -65.275 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(in)]TJ/F54 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-190(as:)-280(a)-190(object)-190(of)-190(type)-190(derived)-190(fr)18(om)-190(\050integer\051)]TJ/F59 9.9626 Tf 221.926 0 Td [(psb)]TJ
+/F57 9.9626 Tf 28.782 0 Td [(The)-250(desir)18(ed)-250(dynamic)-250(type)-250(for)-250(the)-250(internal)-250(index)-250(storage.)]TJ -3.875 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.431 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ -53.011 -11.956 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.089 0 Td [(optional)]TJ/F57 9.9626 Tf 38.186 0 Td [(.)]TJ -65.275 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(in)]TJ/F57 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-190(as:)-280(a)-190(object)-190(of)-190(type)-190(derived)-190(fr)18(om)-190(\050integer\051)]TJ/F62 9.9626 Tf 221.926 0 Td [(psb)]TJ
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 ET
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 1 0 0 1 422.851 510.029 cm
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 Q
 BT
-/F59 9.9626 Tf 425.99 509.83 Td [(base)]TJ
+/F62 9.9626 Tf 425.99 509.83 Td [(base)]TJ
 ET
 q
 1 0 0 1 447.539 510.029 cm
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 Q
 BT
-/F59 9.9626 Tf 450.677 509.83 Td [(vect)]TJ
+/F62 9.9626 Tf 450.677 509.83 Td [(vect)]TJ
 ET
 q
 1 0 0 1 472.226 510.029 cm
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-/F59 9.9626 Tf 475.364 509.83 Td [(type)]TJ/F54 9.9626 Tf 20.921 0 Td [(.)]TJ
+/F62 9.9626 Tf 475.364 509.83 Td [(type)]TJ/F57 9.9626 Tf 20.921 0 Td [(.)]TJ
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-/F51 9.9626 Tf -345.58 -21.918 Td [(On)-250(Return)]TJ
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  0 -19.925 Td [(desc)]TJ
@@ -16620,35 +16620,35 @@ q
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-/F51 9.9626 Tf 174.207 467.987 Td [(a)]TJ
+/F54 9.9626 Tf 174.207 467.987 Td [(a)]TJ
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-/F51 11.9552 Tf 99.895 706.129 Td [(6.6)-1000(psb)]TJ
+/F54 11.9552 Tf 99.895 706.129 Td [(6.6)-1000(psb)]TJ
 ET
 q
 1 0 0 1 147.429 706.328 cm
 []0 d 0 J 0.398 w 0 0 m 3.587 0 l S
 Q
 BT
-/F51 11.9552 Tf 151.016 706.129 Td [(cdbldext)-190(\227)-190(Build)-190(an)-190(extended)-190(communication)-190(descrip-)]TJ -24.221 -13.948 Td [(tor)]TJ
+/F54 11.9552 Tf 151.016 706.129 Td [(cdbldext)-190(\227)-190(Build)-190(an)-190(extended)-190(communication)-190(descrip-)]TJ -24.221 -13.948 Td [(tor)]TJ
 0 g 0 G
 0 g 0 G
-/F59 9.9626 Tf -26.9 -19.693 Td [(call)-525(psb_cdbldext\050a,desc_a,nl,desc_out,)-525(info,)-525(extype\051)]TJ/F54 9.9626 Tf 14.944 -23.422 Td [(This)-379(subr)18(outine)-379(builds)-379(an)-379(extended)-379(communication)-379(descriptor)74(,)-411(based)-379(on)]TJ -14.944 -11.955 Td [(the)-428(input)-428(descriptor)]TJ/F59 9.9626 Tf 95.499 0 Td [(desc_a)]TJ/F54 9.9626 Tf 35.646 0 Td [(and)-428(on)-428(the)-428(stencil)-428(speci\002ed)-428(thr)18(ough)-428(the)-427(input)]TJ -131.145 -11.955 Td [(sparse)-250(matrix)]TJ/F59 9.9626 Tf 62.107 0 Td [(a)]TJ/F54 9.9626 Tf 5.23 0 Td [(.)]TJ
+/F62 9.9626 Tf -26.9 -19.693 Td [(call)-525(psb_cdbldext\050a,desc_a,nl,desc_out,)-525(info,)-525(extype\051)]TJ/F57 9.9626 Tf 14.944 -23.422 Td [(This)-379(subr)18(outine)-379(builds)-379(an)-379(extended)-379(communication)-379(descriptor)74(,)-411(based)-379(on)]TJ -14.944 -11.955 Td [(the)-428(input)-428(descriptor)]TJ/F62 9.9626 Tf 95.499 0 Td [(desc_a)]TJ/F57 9.9626 Tf 35.646 0 Td [(and)-428(on)-428(the)-428(stencil)-428(speci\002ed)-428(thr)18(ough)-428(the)-427(input)]TJ -131.145 -11.955 Td [(sparse)-250(matrix)]TJ/F62 9.9626 Tf 62.107 0 Td [(a)]TJ/F57 9.9626 Tf 5.23 0 Td [(.)]TJ
 0 g 0 G
-/F51 9.9626 Tf -67.337 -21.054 Td [(T)90(ype:)]TJ
+/F54 9.9626 Tf -67.337 -21.054 Td [(T)90(ype:)]TJ
 0 g 0 G
-/F54 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ
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 0 g 0 G
-/F51 9.9626 Tf -29.828 -21.429 Td [(On)-250(Entry)]TJ
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 0 g 0 G
 0 g 0 G
  0 -21.43 Td [(a)]TJ
 0 g 0 G
-/F54 9.9626 Tf 9.963 0 Td [(A)-250(sparse)-250(matrix)-250(Scope:)]TJ/F51 9.9626 Tf 100.691 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -107.326 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 24 0 Td [(required)]TJ/F54 9.9626 Tf 39.292 0 Td [(.)]TJ -63.292 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(type.)]TJ
+/F57 9.9626 Tf 9.963 0 Td [(A)-250(sparse)-250(matrix)-250(Scope:)]TJ/F54 9.9626 Tf 100.691 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ -107.326 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 24 0 Td [(required)]TJ/F57 9.9626 Tf 39.292 0 Td [(.)]TJ -63.292 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(type.)]TJ
 0 g 0 G
-/F51 9.9626 Tf -24.907 -21.429 Td [(desc)]TJ
+/F54 9.9626 Tf -24.907 -21.429 Td [(desc)]TJ
 ET
 q
 1 0 0 1 120.408 504.147 cm
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 Q
 BT
-/F51 9.9626 Tf 123.397 503.948 Td [(a)]TJ
+/F54 9.9626 Tf 123.397 503.948 Td [(a)]TJ
 0 g 0 G
-/F54 9.9626 Tf 9.963 0 Td [(the)-250(communication)-250(descriptor)74(.)]TJ -8.558 -11.956 Td [(Scope:)]TJ/F51 9.9626 Tf 28.343 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -49.922 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 24 0 Td [(required)]TJ/F54 9.9626 Tf 39.292 0 Td [(.)]TJ -63.292 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ
+/F57 9.9626 Tf 9.963 0 Td [(the)-250(communication)-250(descriptor)74(.)]TJ -8.558 -11.956 Td [(Scope:)]TJ/F54 9.9626 Tf 28.343 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ -49.922 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 24 0 Td [(required)]TJ/F57 9.9626 Tf 39.292 0 Td [(.)]TJ -63.292 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ
 0 0 1 rg 0 0 1 RG
-/F59 9.9626 Tf 168.138 0 Td [(psb)]TJ
+/F62 9.9626 Tf 168.138 0 Td [(psb)]TJ
 ET
 q
 1 0 0 1 309.258 456.326 cm
 []0 d 0 J 0.398 w 0 0 m 3.138 0 l S
 Q
 BT
-/F59 9.9626 Tf 312.397 456.127 Td [(Tspmat)]TJ
+/F62 9.9626 Tf 312.397 456.127 Td [(Tspmat)]TJ
 ET
 q
 1 0 0 1 344.406 456.326 cm
 []0 d 0 J 0.398 w 0 0 m 3.138 0 l S
 Q
 BT
-/F59 9.9626 Tf 347.544 456.127 Td [(type)]TJ
+/F62 9.9626 Tf 347.544 456.127 Td [(type)]TJ
 0 g 0 G
-/F54 9.9626 Tf 20.922 0 Td [(.)]TJ
+/F57 9.9626 Tf 20.922 0 Td [(.)]TJ
 0 g 0 G
-/F51 9.9626 Tf -268.571 -21.43 Td [(nl)]TJ
+/F54 9.9626 Tf -268.571 -21.43 Td [(nl)]TJ
 0 g 0 G
-/F54 9.9626 Tf 14.386 0 Td [(the)-250(number)-250(of)-250(additional)-250(layers)-250(desir)18(ed.)]TJ 10.521 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 28.343 0 Td [(global)]TJ/F54 9.9626 Tf 28.782 0 Td [(.)]TJ -57.125 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 24 0 Td [(required)]TJ/F54 9.9626 Tf 39.292 0 Td [(.)]TJ -63.292 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(value)]TJ/F52 9.9626 Tf 131.102 0 Td [(n)-25(l)]TJ/F83 10.3811 Tf 11.873 0 Td [(\025)]TJ/F54 9.9626 Tf 10.961 0 Td [(0.)]TJ
+/F57 9.9626 Tf 14.386 0 Td [(the)-250(number)-250(of)-250(additional)-250(layers)-250(desir)18(ed.)]TJ 10.521 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 28.343 0 Td [(global)]TJ/F57 9.9626 Tf 28.782 0 Td [(.)]TJ -57.125 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 24 0 Td [(required)]TJ/F57 9.9626 Tf 39.292 0 Td [(.)]TJ -63.292 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(value)]TJ/F55 9.9626 Tf 131.102 0 Td [(n)-25(l)]TJ/F86 10.3811 Tf 11.873 0 Td [(\025)]TJ/F57 9.9626 Tf 10.961 0 Td [(0.)]TJ
 0 g 0 G
-/F51 9.9626 Tf -178.843 -21.43 Td [(extype)]TJ
+/F54 9.9626 Tf -178.843 -21.43 Td [(extype)]TJ
 0 g 0 G
-/F54 9.9626 Tf 34.869 0 Td [(the)-250(kind)-250(of)-250(estension)-250(r)18(equir)18(ed.)]TJ -9.962 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 28.343 0 Td [(global)]TJ/F54 9.9626 Tf 28.782 0 Td [(.)]TJ -57.125 -11.956 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 24 0 Td [(optional)]TJ/F54 9.9626 Tf 40.677 0 Td [(.)]TJ -64.677 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-345(as:)-501(an)-345(integer)-346(value)]TJ/F59 9.9626 Tf 136.676 0 Td [(psb_ovt_xhal_)]TJ/F54 9.9626 Tf 67.994 0 Td [(,)]TJ/F59 9.9626 Tf 6.169 0 Td [(psb_ovt_asov_)]TJ/F54 9.9626 Tf 67.994 0 Td [(,)-369(default:)]TJ/F59 9.9626 Tf -278.833 -11.955 Td [(psb_ovt_xhal_)]TJ
+/F57 9.9626 Tf 34.869 0 Td [(the)-250(kind)-250(of)-250(estension)-250(r)18(equir)18(ed.)]TJ -9.962 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 28.343 0 Td [(global)]TJ/F57 9.9626 Tf 28.782 0 Td [(.)]TJ -57.125 -11.956 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 24 0 Td [(optional)]TJ/F57 9.9626 Tf 40.677 0 Td [(.)]TJ -64.677 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-345(as:)-501(an)-345(integer)-346(value)]TJ/F62 9.9626 Tf 136.676 0 Td [(psb_ovt_xhal_)]TJ/F57 9.9626 Tf 67.994 0 Td [(,)]TJ/F62 9.9626 Tf 6.169 0 Td [(psb_ovt_asov_)]TJ/F57 9.9626 Tf 67.994 0 Td [(,)-369(default:)]TJ/F62 9.9626 Tf -278.833 -11.955 Td [(psb_ovt_xhal_)]TJ
 0 g 0 G
-/F51 9.9626 Tf -24.907 -23.422 Td [(On)-250(Return)]TJ
+/F54 9.9626 Tf -24.907 -23.422 Td [(On)-250(Return)]TJ
 0 g 0 G
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  0 -21.43 Td [(desc)]TJ
@@ -16901,33 +16901,33 @@ q
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 BT
-/F51 9.9626 Tf 123.397 260.819 Td [(out)]TJ
+/F54 9.9626 Tf 123.397 260.819 Td [(out)]TJ
 0 g 0 G
-/F54 9.9626 Tf 19.925 0 Td [(the)-250(extended)-250(communication)-250(descriptor)74(.)]TJ -18.52 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 28.343 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -49.922 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 24 0 Td [(required)]TJ/F54 9.9626 Tf 39.292 0 Td [(.)]TJ -63.292 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(inout)]TJ/F54 9.9626 Tf 24.349 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ
+/F57 9.9626 Tf 19.925 0 Td [(the)-250(extended)-250(communication)-250(descriptor)74(.)]TJ -18.52 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 28.343 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ -49.922 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 24 0 Td [(required)]TJ/F57 9.9626 Tf 39.292 0 Td [(.)]TJ -63.292 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(inout)]TJ/F57 9.9626 Tf 24.349 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ
 0 0 1 rg 0 0 1 RG
-/F59 9.9626 Tf 168.138 0 Td [(psb)]TJ
+/F62 9.9626 Tf 168.138 0 Td [(psb)]TJ
 ET
 q
 1 0 0 1 309.258 213.198 cm
 []0 d 0 J 0.398 w 0 0 m 3.138 0 l S
 Q
 BT
-/F59 9.9626 Tf 312.397 212.998 Td [(desc)]TJ
+/F62 9.9626 Tf 312.397 212.998 Td [(desc)]TJ
 ET
 q
 1 0 0 1 333.945 213.198 cm
 []0 d 0 J 0.398 w 0 0 m 3.138 0 l S
 Q
 BT
-/F59 9.9626 Tf 337.084 212.998 Td [(type)]TJ
+/F62 9.9626 Tf 337.084 212.998 Td [(type)]TJ
 0 g 0 G
-/F54 9.9626 Tf 20.921 0 Td [(.)]TJ
+/F57 9.9626 Tf 20.921 0 Td [(.)]TJ
 0 g 0 G
-/F51 9.9626 Tf -258.11 -21.429 Td [(info)]TJ
+/F54 9.9626 Tf -258.11 -21.429 Td [(info)]TJ
 0 g 0 G
-/F54 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.956 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ/F51 11.9552 Tf -24.907 -23.422 Td [(Notes)]TJ
+/F57 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.956 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(out)]TJ/F57 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ/F54 11.9552 Tf -24.907 -23.422 Td [(Notes)]TJ
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-/F54 9.9626 Tf 166.875 -29.888 Td [(79)]TJ
+/F57 9.9626 Tf 166.875 -29.888 Td [(79)]TJ
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 ET
 
@@ -16942,13 +16942,13 @@ stream
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 0 g 0 G
 BT
-/F54 9.9626 Tf 163.158 706.129 Td [(1.)]TJ
+/F57 9.9626 Tf 163.158 706.129 Td [(1.)]TJ
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- [-500(Specifying)]TJ/F59 9.9626 Tf 61.745 0 Td [(psb_ovt_xhal_)]TJ/F54 9.9626 Tf 70.881 0 Td [(for)-290(the)]TJ/F59 9.9626 Tf 32.282 0 Td [(extype)]TJ/F54 9.9626 Tf 34.269 0 Td [(ar)18(gument)-290(the)-289(user)-290(will)-290(obtain)]TJ -186.724 -11.955 Td [(a)-400(descriptor)-400(for)-400(a)-400(domain)-400(partition)-400(in)-400(which)-400(the)-400(additional)-400(layers)-400(ar)18(e)]TJ 0 -11.955 Td [(fetched)-222(as)-221(part)-222(of)-221(an)-222(\050extended\051)-221(halo;)-232(however)-221(the)-222(index-to-pr)18(ocess)-221(map-)]TJ 0 -11.956 Td [(ping)-250(is)-250(identical)-250(to)-250(that)-250(of)-250(the)-250(base)-250(descriptor;)]TJ
+ [-500(Specifying)]TJ/F62 9.9626 Tf 61.745 0 Td [(psb_ovt_xhal_)]TJ/F57 9.9626 Tf 70.881 0 Td [(for)-290(the)]TJ/F62 9.9626 Tf 32.282 0 Td [(extype)]TJ/F57 9.9626 Tf 34.269 0 Td [(ar)18(gument)-290(the)-289(user)-290(will)-290(obtain)]TJ -186.724 -11.955 Td [(a)-400(descriptor)-400(for)-400(a)-400(domain)-400(partition)-400(in)-400(which)-400(the)-400(additional)-400(layers)-400(ar)18(e)]TJ 0 -11.955 Td [(fetched)-222(as)-221(part)-222(of)-221(an)-222(\050extended\051)-221(halo;)-232(however)-221(the)-222(index-to-pr)18(ocess)-221(map-)]TJ 0 -11.956 Td [(ping)-250(is)-250(identical)-250(to)-250(that)-250(of)-250(the)-250(base)-250(descriptor;)]TJ
 0 g 0 G
  -12.453 -19.925 Td [(2.)]TJ
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- [-500(Specifying)]TJ/F59 9.9626 Tf 61.745 0 Td [(psb_ovt_asov_)]TJ/F54 9.9626 Tf 70.881 0 Td [(for)-290(the)]TJ/F59 9.9626 Tf 32.282 0 Td [(extype)]TJ/F54 9.9626 Tf 34.269 0 Td [(ar)18(gument)-290(the)-289(user)-290(will)-290(obtain)]TJ -186.724 -11.955 Td [(a)-330(descriptor)-331(with)-330(an)-330(overlapped)-331(decomposition:)-470(the)-331(additional)-330(layer)-330(is)]TJ 0 -11.955 Td [(aggr)18(egated)-326(to)-326(the)-326(local)-326(subdomain)-326(\050and)-326(thus)-326(is)-325(an)-326(overlap\051,)-345(and)-326(a)-326(new)]TJ 0 -11.955 Td [(halo)-250(extending)-250(beyond)-250(the)-250(last)-250(additional)-250(layer)-250(is)-250(formed.)]TJ
+ [-500(Specifying)]TJ/F62 9.9626 Tf 61.745 0 Td [(psb_ovt_asov_)]TJ/F57 9.9626 Tf 70.881 0 Td [(for)-290(the)]TJ/F62 9.9626 Tf 32.282 0 Td [(extype)]TJ/F57 9.9626 Tf 34.269 0 Td [(ar)18(gument)-290(the)-289(user)-290(will)-290(obtain)]TJ -186.724 -11.955 Td [(a)-330(descriptor)-331(with)-330(an)-330(overlapped)-331(decomposition:)-470(the)-331(additional)-330(layer)-330(is)]TJ 0 -11.955 Td [(aggr)18(egated)-326(to)-326(the)-326(local)-326(subdomain)-326(\050and)-326(thus)-326(is)-325(an)-326(overlap\051,)-345(and)-326(a)-326(new)]TJ 0 -11.955 Td [(halo)-250(extending)-250(beyond)-250(the)-250(last)-250(additional)-250(layer)-250(is)-250(formed.)]TJ
 0 g 0 G
  141.968 -524.035 Td [(80)]TJ
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@@ -16964,23 +16964,23 @@ stream
 0 g 0 G
 0 g 0 G
 BT
-/F51 11.9552 Tf 99.895 706.129 Td [(6.7)-1000(psb)]TJ
+/F54 11.9552 Tf 99.895 706.129 Td [(6.7)-1000(psb)]TJ
 ET
 q
 1 0 0 1 147.429 706.328 cm
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 Q
 BT
-/F51 11.9552 Tf 151.016 706.129 Td [(spall)-250(\227)-250(Allocates)-250(a)-250(sparse)-250(matrix)]TJ
+/F54 11.9552 Tf 151.016 706.129 Td [(spall)-250(\227)-250(Allocates)-250(a)-250(sparse)-250(matrix)]TJ
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-/F59 9.9626 Tf -51.121 -19.277 Td [(call)-525(psb_spall\050a,)-525(desc_a,)-525(info)-525([,)-525(nnz,)-525(dupl,)-525(buildmode]\051)]TJ
+/F62 9.9626 Tf -51.121 -19.277 Td [(call)-525(psb_spall\050a,)-525(desc_a,)-525(info)-525([,)-525(nnz,)-525(dupl,)-525(buildmode]\051)]TJ
 0 g 0 G
-/F51 9.9626 Tf 0 -22.403 Td [(T)90(ype:)]TJ
+/F54 9.9626 Tf 0 -22.403 Td [(T)90(ype:)]TJ
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-/F54 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ
+/F57 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ
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-/F51 9.9626 Tf -29.828 -20.571 Td [(On)-250(Entry)]TJ
+/F54 9.9626 Tf -29.828 -20.571 Td [(On)-250(Entry)]TJ
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  0 -20.572 Td [(desc)]TJ
@@ -16990,70 +16990,70 @@ q
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 Q
 BT
-/F51 9.9626 Tf 123.397 623.306 Td [(a)]TJ
+/F54 9.9626 Tf 123.397 623.306 Td [(a)]TJ
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 1 0 0 1 309.258 231.892 cm
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-/F59 9.9626 Tf 312.397 231.692 Td [(Tspmat)]TJ
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-/F51 9.9626 Tf -24.907 -22.834 Td [(ia)]TJ
+/F54 9.9626 Tf -24.907 -22.834 Td [(ia)]TJ
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-/F51 9.9626 Tf -207.688 -22.835 Td [(ja)]TJ
+/F54 9.9626 Tf -207.688 -22.835 Td [(ja)]TJ
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-/F54 9.9626 Tf 13.28 0 Td [(the)-250(column)-250(indices)-250(of)-250(the)-250(coef)18(\002cients)-250(to)-250(be)-250(inserted.)]TJ 11.627 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 28.343 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -49.922 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 24 0 Td [(required)]TJ/F54 9.9626 Tf 39.292 0 Td [(.)]TJ -63.292 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(array)-250(of)-250(size)]TJ/F52 9.9626 Tf 160.8 0 Td [(n)-25(z)]TJ/F54 9.9626 Tf 10.336 0 Td [(.)]TJ
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+/F54 9.9626 Tf -196.043 -22.835 Td [(val)]TJ
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-/F54 9.9626 Tf 18.82 0 Td [(the)-250(coef)18(\002cients)-250(to)-250(be)-250(inserted.)]TJ 6.087 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 28.343 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -49.922 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 24 0 Td [(required)]TJ/F54 9.9626 Tf 39.292 0 Td [(.)]TJ -63.292 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-315(as:)-439(an)-314(array)-315(of)-315(size)]TJ/F52 9.9626 Tf 131.853 0 Td [(n)-25(z)]TJ/F54 9.9626 Tf 10.337 0 Td [(.)-504(Must)-314(be)-315(of)-315(the)-314(same)-315(type)-315(and)-314(kind)-315(of)]TJ -142.19 -11.956 Td [(the)-250(coef)18(\002cients)-250(of)-250(the)-250(sparse)-250(matrix)]TJ/F52 9.9626 Tf 157.901 0 Td [(a)]TJ/F54 9.9626 Tf 4.548 0 Td [(.)]TJ
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 0 g 0 G
  -20.481 -29.887 Td [(83)]TJ
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@@ -17160,98 +17160,98 @@ stream
 0 g 0 G
 0 g 0 G
 BT
-/F51 9.9626 Tf 150.705 706.129 Td [(desc)]TJ
+/F54 9.9626 Tf 150.705 706.129 Td [(desc)]TJ
 ET
 q
 1 0 0 1 171.218 706.328 cm
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 Q
 BT
-/F51 9.9626 Tf 174.207 706.129 Td [(a)]TJ
+/F54 9.9626 Tf 174.207 706.129 Td [(a)]TJ
 0 g 0 G
-/F54 9.9626 Tf 9.962 0 Td [(The)-250(communication)-250(descriptor)74(.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -53.011 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(required)]TJ/F54 9.9626 Tf 39.292 0 Td [(.)]TJ -66.381 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(inout)]TJ/F54 9.9626 Tf 24.348 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(variable)-250(of)-250(type)]TJ
+/F57 9.9626 Tf 9.962 0 Td [(The)-250(communication)-250(descriptor)74(.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ -53.011 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.089 0 Td [(required)]TJ/F57 9.9626 Tf 39.292 0 Td [(.)]TJ -66.381 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(inout)]TJ/F57 9.9626 Tf 24.348 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(variable)-250(of)-250(type)]TJ
 0 0 1 rg 0 0 1 RG
-/F59 9.9626 Tf 136.328 0 Td [(psb)]TJ
+/F62 9.9626 Tf 136.328 0 Td [(psb)]TJ
 ET
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 1 0 0 1 328.257 658.507 cm
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 Q
 BT
-/F59 9.9626 Tf 331.395 658.308 Td [(desc)]TJ
+/F62 9.9626 Tf 331.395 658.308 Td [(desc)]TJ
 ET
 q
 1 0 0 1 352.944 658.507 cm
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 BT
-/F59 9.9626 Tf 356.083 658.308 Td [(type)]TJ
+/F62 9.9626 Tf 356.083 658.308 Td [(type)]TJ
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-/F54 9.9626 Tf 20.921 0 Td [(.)]TJ
+/F57 9.9626 Tf 20.921 0 Td [(.)]TJ
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-/F51 9.9626 Tf -226.299 -31.349 Td [(local)]TJ
+/F54 9.9626 Tf -226.299 -31.349 Td [(local)]TJ
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-/F54 9.9626 Tf 26.56 0 Td [(Whether)-207(the)-207(entries)-207(in)-207(the)-208(indices)-207(vectors)]TJ/F59 9.9626 Tf 181.487 0 Td [(ia)]TJ/F54 9.9626 Tf 10.46 0 Td [(,)]TJ/F59 9.9626 Tf 4.64 0 Td [(ja)]TJ/F54 9.9626 Tf 12.524 0 Td [(ar)18(e)-207(alr)18(eady)-207(in)-207(local)-208(num-)]TJ -210.765 -11.955 Td [(bering.)]TJ 0 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 28.344 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -49.923 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 24 0 Td [(optional)]TJ/F54 9.9626 Tf 38.187 0 Td [(.)]TJ -62.187 -11.956 Td [(Speci\002ed)-250(as:)-310(a)-250(logical)-250(value;)-250(default:)]TJ/F59 9.9626 Tf 162.678 0 Td [(.false.)]TJ/F54 9.9626 Tf 36.613 0 Td [(.)]TJ
+/F57 9.9626 Tf 26.56 0 Td [(Whether)-207(the)-207(entries)-207(in)-207(the)-208(indices)-207(vectors)]TJ/F62 9.9626 Tf 181.487 0 Td [(ia)]TJ/F57 9.9626 Tf 10.46 0 Td [(,)]TJ/F62 9.9626 Tf 4.64 0 Td [(ja)]TJ/F57 9.9626 Tf 12.524 0 Td [(ar)18(e)-207(alr)18(eady)-207(in)-207(local)-208(num-)]TJ -210.765 -11.955 Td [(bering.)]TJ 0 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 28.344 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ -49.923 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 24 0 Td [(optional)]TJ/F57 9.9626 Tf 38.187 0 Td [(.)]TJ -62.187 -11.956 Td [(Speci\002ed)-250(as:)-310(a)-250(logical)-250(value;)-250(default:)]TJ/F62 9.9626 Tf 162.678 0 Td [(.false.)]TJ/F57 9.9626 Tf 36.613 0 Td [(.)]TJ
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-/F51 9.9626 Tf -224.197 -20.589 Td [(On)-250(Return)]TJ
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 0 0 1 rg 0 0 1 RG
-/F59 9.9626 Tf 168.138 0 Td [(psb)]TJ
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 ET
 q
 1 0 0 1 360.068 491.534 cm
 []0 d 0 J 0.398 w 0 0 m 3.138 0 l S
 Q
 BT
-/F59 9.9626 Tf 363.206 491.334 Td [(Tspmat)]TJ
+/F62 9.9626 Tf 363.206 491.334 Td [(Tspmat)]TJ
 ET
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 1 0 0 1 395.216 491.534 cm
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 BT
-/F59 9.9626 Tf 398.354 491.334 Td [(type)]TJ
+/F62 9.9626 Tf 398.354 491.334 Td [(type)]TJ
 0 g 0 G
-/F54 9.9626 Tf 20.921 0 Td [(.)]TJ
+/F57 9.9626 Tf 20.921 0 Td [(.)]TJ
 0 g 0 G
-/F51 9.9626 Tf -268.57 -19.394 Td [(desc)]TJ
+/F54 9.9626 Tf -268.57 -19.394 Td [(desc)]TJ
 ET
 q
 1 0 0 1 171.218 472.14 cm
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 BT
-/F51 9.9626 Tf 174.207 471.94 Td [(a)]TJ
+/F54 9.9626 Tf 174.207 471.94 Td [(a)]TJ
 0 g 0 G
-/F54 9.9626 Tf 9.962 0 Td [(The)-250(communication)-250(descriptor)74(.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -53.011 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(required)]TJ/F54 9.9626 Tf 39.292 0 Td [(.)]TJ -66.381 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(inout)]TJ/F54 9.9626 Tf 24.348 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(variable)-250(of)-250(type)]TJ
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 0 0 1 rg 0 0 1 RG
-/F59 9.9626 Tf 136.328 0 Td [(psb)]TJ
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 ET
 q
 1 0 0 1 328.257 424.319 cm
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 Q
 BT
-/F59 9.9626 Tf 331.395 424.12 Td [(desc)]TJ
+/F62 9.9626 Tf 331.395 424.12 Td [(desc)]TJ
 ET
 q
 1 0 0 1 352.944 424.319 cm
 []0 d 0 J 0.398 w 0 0 m 3.138 0 l S
 Q
 BT
-/F59 9.9626 Tf 356.083 424.12 Td [(type)]TJ
+/F62 9.9626 Tf 356.083 424.12 Td [(type)]TJ
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-/F54 9.9626 Tf 20.921 0 Td [(.)]TJ
+/F57 9.9626 Tf 20.921 0 Td [(.)]TJ
 0 g 0 G
-/F51 9.9626 Tf -226.299 -31.349 Td [(info)]TJ
+/F54 9.9626 Tf -226.299 -31.349 Td [(info)]TJ
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-/F54 9.9626 Tf 23.8 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.956 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(required)]TJ/F54 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.745 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ/F51 11.9552 Tf -24.906 -20.59 Td [(Notes)]TJ
+/F57 9.9626 Tf 23.8 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.956 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.089 0 Td [(required)]TJ/F57 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(out)]TJ/F57 9.9626 Tf 14.944 0 Td [(.)]TJ -46.745 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ/F54 11.9552 Tf -24.906 -20.59 Td [(Notes)]TJ
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-/F54 9.9626 Tf 12.453 -18.862 Td [(1.)]TJ
+/F57 9.9626 Tf 12.453 -18.862 Td [(1.)]TJ
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  [-500(On)-312(entry)-312(to)-312(this)-312(r)18(out)1(ine)-312(the)-312(descriptor)-312(may)-312(be)-312(in)-312(either)-312(the)-311(build)-312(or)-312(as-)]TJ 12.453 -11.955 Td [(sembled)-250(state.)]TJ
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@@ -17261,7 +17261,7 @@ BT
 0 g 0 G
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 1 0 0 1 393.323 371.449 cm
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 Q
 BT
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 ET
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 1 0 0 1 402.319 371.449 cm
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-/F59 9.9626 Tf 405.457 371.249 Td [(base)]TJ
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 ET
 q
 1 0 0 1 427.006 371.449 cm
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-/F59 9.9626 Tf 430.144 371.249 Td [(sparse)]TJ
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 1 0 0 1 462.154 371.449 cm
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 ET
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 1 0 0 1 360.068 280.918 cm
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-/F59 9.9626 Tf 363.206 280.719 Td [(Tspmat)]TJ
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 ET
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 1 0 0 1 395.216 280.918 cm
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-/F59 9.9626 Tf 398.354 280.719 Td [(type)]TJ
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 ET
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 1 0 0 1 171.218 260.497 cm
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-/F51 9.9626 Tf 174.207 260.298 Td [(a)]TJ
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-/F54 9.9626 Tf 9.962 0 Td [(the)-250(communication)-250(descriptor)74(.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 28.344 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -49.923 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 24 0 Td [(required)]TJ/F54 9.9626 Tf 39.293 0 Td [(.)]TJ -63.293 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(in/out)]TJ/F54 9.9626 Tf 27.297 0 Td [(.)]TJ -59.098 -11.956 Td [(Speci\002ed)-290(as:)-389(a)-290(str)8(uctur)18(ed)-290(data)-289(of)-290(type)]TJ
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 ET
 q
 1 0 0 1 363.235 212.677 cm
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-/F59 9.9626 Tf 366.373 212.477 Td [(desc)]TJ
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 ET
 q
 1 0 0 1 387.922 212.677 cm
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-/F59 9.9626 Tf 391.06 212.477 Td [(type)]TJ
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-/F51 9.9626 Tf -24.906 -20.421 Td [(info)]TJ
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-/F54 9.9626 Tf 23.8 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(required)]TJ/F54 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.745 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ
+/F57 9.9626 Tf 23.8 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.089 0 Td [(required)]TJ/F57 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(out)]TJ/F57 9.9626 Tf 14.944 0 Td [(.)]TJ -46.745 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ
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@@ -18055,11 +18055,11 @@ stream
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-/F51 11.9552 Tf 99.895 706.129 Td [(Notes)]TJ
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-/F54 9.9626 Tf 12.454 -19.925 Td [(1.)]TJ
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- [-500(On)-226(entry)-227(to)-226(this)-227(r)18(outine)-226(the)-227(descriptor)-226(must)-227(be)-226(in)-227(the)-226(assembled)-227(state,)-231(i.e.)]TJ/F59 9.9626 Tf 12.453 -11.956 Td [(psb_cdasb)]TJ/F54 9.9626 Tf 49.564 0 Td [(must)-250(alr)18(eady)-250(have)-250(been)-250(called.)]TJ
+ [-500(On)-226(entry)-227(to)-226(this)-227(r)18(outine)-226(the)-227(descriptor)-226(must)-227(be)-226(in)-227(the)-226(assembled)-227(state,)-231(i.e.)]TJ/F62 9.9626 Tf 12.453 -11.956 Td [(psb_cdasb)]TJ/F57 9.9626 Tf 49.564 0 Td [(must)-250(alr)18(eady)-250(have)-250(been)-250(called.)]TJ
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@@ -18071,7 +18071,7 @@ BT
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+ [-500(If)-190(the)-190(update)-190(choice)-190(is)]TJ/F62 9.9626 Tf 108.372 0 Td [(psb_upd_perm_)]TJ/F57 9.9626 Tf 67.995 0 Td [(,)-202(then)-190(subsequent)-190(calls)-190(to)]TJ/F62 9.9626 Tf 109.946 0 Td [(psb_spins)]TJ/F57 9.9626 Tf -273.86 -11.955 Td [(to)-309(update)-309(the)-308(matrix)-309(must)-309(be)-309(arranged)-309(in)-308(such)-309(a)-309(way)-309(as)-309(to)-308(pr)18(oduce)-309(ex-)]TJ 0 -11.955 Td [(actly)-319(the)-320(same)-319(sequence)-320(of)-319(coef)18(\002cient)-319(values)-320(as)-319(encounter)18(ed)-319(at)-320(the)-319(\002rst)]TJ 0 -11.955 Td [(assembly;)]TJ
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@@ -18083,7 +18083,7 @@ BT
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+ [-500(If)-281(the)]TJ/F62 9.9626 Tf 38.554 0 Td [(buildmode=psb_matbld_remote_)]TJ/F57 9.9626 Tf 149.254 0 Td [(value)-281(was)-282(speci\002ed)-281(at)-282(allocation)]TJ -175.355 -11.955 Td [(time,)-278(contributions)-272(de\002ned)-272(on)-272(the)-273(curr)18(ent)-272(pr)18(ocess)-272(but)-272(belonging)-273(to)-272(a)-272(r)18(e-)]TJ 0 -11.956 Td [(mote)-354(pr)18(ocess)-355(will)-354(be)-355(handled)-354(accor)18(dingly)111(.)-623(This)-355(is)-354(most)-354(likely)-355(to)-354(occur)]TJ 0 -11.955 Td [(in)-352(\002nite)-352(element)-352(applicat)1(ions,)-378(with)]TJ/F62 9.9626 Tf 160.793 0 Td [(dupl=psb_dupl_add_)]TJ/F57 9.9626 Tf 94.146 0 Td [(;)-403(note)-352(that)-352(the)]TJ -254.939 -11.955 Td [(descriptor)-250(will)-250(be)-250(updated,)-250(and)-250(ther)18(e)-250(will)-250(be)-250(a)-250(r)8(untime)-250(over)18(head.)]TJ
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@@ -18099,82 +18099,82 @@ stream
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 ET
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 1 0 0 1 204.216 706.328 cm
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-/F54 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ
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 ET
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-/F59 9.9626 Tf 363.206 577.576 Td [(Tspmat)]TJ
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 1 0 0 1 395.216 577.775 cm
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-/F51 9.9626 Tf 174.207 557.651 Td [(a)]TJ
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-/F54 9.9626 Tf 9.962 0 Td [(the)-250(communication)-250(descriptor)74(.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 28.344 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -49.923 -11.956 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 24 0 Td [(required)]TJ/F54 9.9626 Tf 39.293 0 Td [(.)]TJ -63.293 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(in)]TJ/F54 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ
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 ET
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 1 0 0 1 360.068 510.029 cm
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 1 0 0 1 384.755 510.029 cm
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-/F59 9.9626 Tf 387.893 509.83 Td [(type)]TJ
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-/F54 9.9626 Tf 20.922 0 Td [(.)]TJ
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-/F51 9.9626 Tf -258.11 -21.918 Td [(On)-250(Return)]TJ
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-/F54 9.9626 Tf 23.8 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(required)]TJ/F54 9.9626 Tf -27.089 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.745 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ
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  141.968 -329.728 Td [(88)]TJ
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-/F51 11.9552 Tf 99.895 706.129 Td [(6.11)-1000(psb)]TJ
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 ET
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 1 0 0 1 153.407 706.328 cm
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-/F59 9.9626 Tf -32.877 -18.964 Td [(call)-525(psb_sprn\050a,)-525(decsc_a,)-525(info,)-525(clear\051)]TJ
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-/F51 9.9626 Tf 0 -21.917 Td [(T)90(ype:)]TJ
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-/F54 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ
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-/F51 9.9626 Tf -29.828 -19.926 Td [(On)-250(Entry)]TJ
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-/F54 9.9626 Tf 9.963 0 Td [(the)-250(matrix)-250(to)-250(be)-250(r)18(einitialized.)]TJ 14.944 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 28.343 0 Td [(local)]TJ/F54 9.9626 Tf -28.343 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 24 0 Td [(required)]TJ/F54 9.9626 Tf -24 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(inout)]TJ/F54 9.9626 Tf 24.349 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ
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-/F59 9.9626 Tf 168.138 0 Td [(psb)]TJ
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 ET
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 1 0 0 1 309.258 563.828 cm
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-/F59 9.9626 Tf 312.397 563.628 Td [(Tspmat)]TJ
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 ET
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 1 0 0 1 344.406 563.828 cm
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-/F59 9.9626 Tf 347.544 563.628 Td [(type)]TJ
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-/F51 9.9626 Tf -268.571 -19.925 Td [(desc)]TJ
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 1 0 0 1 120.408 543.902 cm
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-/F51 9.9626 Tf 123.397 543.703 Td [(a)]TJ
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-/F54 9.9626 Tf 9.963 0 Td [(the)-250(communication)-250(descriptor)74(.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 28.343 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -49.922 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 24 0 Td [(required)]TJ/F54 9.9626 Tf 39.292 0 Td [(.)]TJ -63.292 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.956 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ
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-/F59 9.9626 Tf 168.138 0 Td [(psb)]TJ
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 ET
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 1 0 0 1 309.258 496.082 cm
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-/F59 9.9626 Tf 312.397 495.882 Td [(desc)]TJ
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 ET
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 1 0 0 1 333.945 496.082 cm
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-/F59 9.9626 Tf 337.084 495.882 Td [(type)]TJ
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-/F54 9.9626 Tf 20.921 0 Td [(.)]TJ
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-/F51 9.9626 Tf -258.11 -19.925 Td [(clear)]TJ
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-/F54 9.9626 Tf 26.561 0 Td [(Choose)-250(whether)-250(to)-250(zer)18(o)-250(out)-250(matrix)-250(coef)18(\002cients)]TJ -1.654 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 28.343 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -49.922 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 24 0 Td [(optional)]TJ/F54 9.9626 Tf 38.186 0 Td [(.)]TJ -62.186 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.956 Td [(Default:)-310(tr)8(ue.)]TJ
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-/F54 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ/F51 11.9552 Tf -24.907 -21.918 Td [(Notes)]TJ
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 ET
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 1 0 0 1 204.216 706.328 cm
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-/F51 9.9626 Tf 0 -19.627 Td [(T)90(ype:)]TJ
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-/F54 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ
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-/F51 9.9626 Tf -29.828 -19.01 Td [(On)-250(Entry)]TJ
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-/F59 9.9626 Tf 136.328 0 Td [(psb)]TJ
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 1 0 0 1 328.257 581.898 cm
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-/F59 9.9626 Tf 331.395 581.699 Td [(desc)]TJ
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 1 0 0 1 352.944 581.898 cm
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-/F54 9.9626 Tf 20.921 0 Td [(.)]TJ
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-/F51 9.9626 Tf -226.299 -30.965 Td [(n)]TJ
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-/F59 9.9626 Tf 86.634 0 Td [(psb)]TJ
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 ET
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 1 0 0 1 278.564 132.48 cm
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 Q
 BT
-/F59 9.9626 Tf 281.702 132.281 Td [(T)]TJ
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 ET
 q
 1 0 0 1 287.56 132.48 cm
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 BT
-/F59 9.9626 Tf 290.699 132.281 Td [(vect)]TJ
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 1 0 0 1 312.247 132.48 cm
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-/F59 9.9626 Tf 315.386 132.281 Td [(type)]TJ
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-/F59 9.9626 Tf 363.206 366.426 Td [(desc)]TJ
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 ET
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 1 0 0 1 434.498 211.642 cm
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-/F59 9.9626 Tf 437.636 211.443 Td [(T)]TJ
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 1 0 0 1 443.494 211.642 cm
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-/F59 9.9626 Tf 446.633 211.443 Td [(vect)]TJ
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 1 0 0 1 468.182 211.642 cm
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-/F59 9.9626 Tf 471.32 211.443 Td [(type)]TJ
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-/F51 9.9626 Tf -24.906 -31.342 Td [(info)]TJ
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-/F51 11.9552 Tf 207.803 706.129 Td [(geasb)-250(\227)-250(Assembly)-250(a)-250(dense)-250(matrix)]TJ
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-/F59 9.9626 Tf 331.395 577.576 Td [(desc)]TJ
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-/F59 9.9626 Tf 427.838 497.875 Td [(vect)]TJ
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 ET
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 ET
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 1 0 0 1 251.476 384.5 cm
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-/F59 9.9626 Tf 194.809 565.621 Td [(T)]TJ
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-/F59 9.9626 Tf 203.805 565.621 Td [(vect)]TJ
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 1 0 0 1 225.354 565.82 cm
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 1 0 0 1 302.135 486.119 cm
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 ET
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 ET
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 1 0 0 1 153.407 706.328 cm
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 Q
 BT
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 ET
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 1 0 0 1 182.29 706.328 cm
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 ET
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 1 0 0 1 197.222 706.328 cm
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@@ -22029,48 +22029,48 @@ stream
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 %%EOF
diff --git a/docs/src/util.tex b/docs/src/util.tex
index 8428438a..ce6dd62a 100644
--- a/docs/src/util.tex
+++ b/docs/src/util.tex
@@ -291,7 +291,53 @@ Type: {\bf required} \\
 An integer value; 0 means no error has been detected. 
 \end{description}
 
+{\par\noindent\large\bfseries Notes}
+
+If this function is called on a vector \lstinline|v| on a distributed communicator
+only the local part is written in output. To get a single MatrixMarket file with
+the whole vector when appropriate, e.g. for debugging purposes, one could \emph{gather} 
+the  whole vector on a single rank and then write it. Consider the following example
+for a \emph{double} precision vector
+\ifpdf
+\begin{minted}[breaklines=true,bgcolor=bg,fontsize=\small]{fortran}
+real(psb_dpk_), allocatable :: vglobal(:)
 
+call psb_gather(vglobal,v,desc,info)
+if (iam == psb_root_) then
+call mm_array_write(vglobal,vtitle,info,filename)
+end if
+call deallocate(vglobal, stat=info)
+\end{minted}
+\else
+\begin{center}
+	\begin{minipage}[tl]{0.9\textwidth}
+		\begin{verbatim} 
+		real(psb_dpk_), allocatable :: vglobal(:)
+		
+		call psb_gather(vglobal,v,desc,info)
+		if (iam == psb_root_) then
+		call mm_array_write(vglobal,vtitle,info,filename)
+		end if
+		call deallocate(vglobal, stat=info)
+		\end{verbatim}
+	\end{minipage}
+\end{center}
+\fi
+To simplify this procedure in \verb|C|, there is a utility function
+\ifpdf
+\begin{minted}[breaklines=true,bgcolor=bg,fontsize=\small]{c}
+psb_i_t psb_c_global_vec_write(vh,cdh);
+\end{minted}
+\else
+\begin{center}
+	\begin{minipage}[tl]{0.9\textwidth}
+		\begin{verbatim}
+		psb_i_t psb_c_global_vec_write(vh,cdh);
+		\end{verbatim}
+	\end{minipage}
+\end{center}
+\fi 
+that produces exactly this result.
 
 %%% Local Variables: 
 %%% mode: latex

From 71293a2b2ab2cfa7d49365ecd887a24765ab8ba7 Mon Sep 17 00:00:00 2001
From: Salvatore Filippone 
Date: Wed, 6 Apr 2022 13:13:22 +0200
Subject: [PATCH 26/28] Fix INTENT of idxmap

---
 base/internals/psi_graph_fnd_owner.F90 | 6 +++---
 1 file changed, 3 insertions(+), 3 deletions(-)

diff --git a/base/internals/psi_graph_fnd_owner.F90 b/base/internals/psi_graph_fnd_owner.F90
index ee7bece3..e5eed8c6 100644
--- a/base/internals/psi_graph_fnd_owner.F90
+++ b/base/internals/psi_graph_fnd_owner.F90
@@ -96,8 +96,8 @@ subroutine psi_graph_fnd_owner(idx,iprc,ladj,idxmap,info)
 #endif
   integer(psb_lpk_), intent(in)      :: idx(:)
   integer(psb_ipk_), allocatable, intent(out) ::  iprc(:), ladj(:)
-  class(psb_indx_map), intent(inout) :: idxmap
-  integer(psb_ipk_), intent(out)     :: info
+  class(psb_indx_map), intent(in) :: idxmap
+  integer(psb_ipk_), intent(out)  :: info
 
 
   integer(psb_lpk_), allocatable :: tidx(:)
@@ -369,7 +369,7 @@ contains
     integer(psb_ipk_), intent(in)    :: n_samples
     integer(psb_ipk_), intent(inout) :: iprc(:), n_answers
     integer(psb_ipk_), intent(in)    :: adj(:)
-    class(psb_indx_map), intent(inout) :: idxmap
+    class(psb_indx_map), intent(in)  :: idxmap
     !
     type(psb_ctxt_type) :: ctxt
     integer(psb_ipk_) :: ipnt, ns_in, ns_out, n_rem, me, np, isw, n_reml,iend, nv

From 42190f17b7637f1aa3f8d6207a5f465a14b179c5 Mon Sep 17 00:00:00 2001
From: Salvatore Filippone 
Date: Fri, 15 Apr 2022 11:57:54 +0200
Subject: [PATCH 27/28] Do not reinit CD when coming from UPD state.

---
 base/tools/psb_cspasb.f90               |     6 -
 base/tools/psb_dspasb.f90               |     6 -
 base/tools/psb_sspasb.f90               |     6 -
 base/tools/psb_zspasb.f90               |     6 -
 docs/{psblas-3.7.pdf => psblas-3.8.pdf} | 11521 ++++++++++------------
 5 files changed, 5103 insertions(+), 6442 deletions(-)
 rename docs/{psblas-3.7.pdf => psblas-3.8.pdf} (80%)

diff --git a/base/tools/psb_cspasb.f90 b/base/tools/psb_cspasb.f90
index d4a80771..0c5f14ab 100644
--- a/base/tools/psb_cspasb.f90
+++ b/base/tools/psb_cspasb.f90
@@ -146,12 +146,6 @@ subroutine psb_cspasb(a,desc_a, info, afmt, upd, mold)
         call psb_remote_mat(a%rmta,desc_a,a_add,info)
         nz = a_add%get_nzeros()
 !!$        write(0,*) me,name,' Nz to be added',nz
-        nzt = nz
-        call psb_sum(ctxt,nzt)
-        if (nzt>0) then
-          allocate(ivm, mold=desc_a%v_halo_index%v)
-          call psb_cd_reinit(desc_a, info)
-        end if
         if (nz > 0) then
           !
           ! Should we check for new indices here?
diff --git a/base/tools/psb_dspasb.f90 b/base/tools/psb_dspasb.f90
index b6139465..3132f249 100644
--- a/base/tools/psb_dspasb.f90
+++ b/base/tools/psb_dspasb.f90
@@ -146,12 +146,6 @@ subroutine psb_dspasb(a,desc_a, info, afmt, upd, mold)
         call psb_remote_mat(a%rmta,desc_a,a_add,info)
         nz = a_add%get_nzeros()
 !!$        write(0,*) me,name,' Nz to be added',nz
-        nzt = nz
-        call psb_sum(ctxt,nzt)
-        if (nzt>0) then
-          allocate(ivm, mold=desc_a%v_halo_index%v)
-          call psb_cd_reinit(desc_a, info)
-        end if
         if (nz > 0) then
           !
           ! Should we check for new indices here?
diff --git a/base/tools/psb_sspasb.f90 b/base/tools/psb_sspasb.f90
index 143e7a2f..cfa316eb 100644
--- a/base/tools/psb_sspasb.f90
+++ b/base/tools/psb_sspasb.f90
@@ -146,12 +146,6 @@ subroutine psb_sspasb(a,desc_a, info, afmt, upd, mold)
         call psb_remote_mat(a%rmta,desc_a,a_add,info)
         nz = a_add%get_nzeros()
 !!$        write(0,*) me,name,' Nz to be added',nz
-        nzt = nz
-        call psb_sum(ctxt,nzt)
-        if (nzt>0) then
-          allocate(ivm, mold=desc_a%v_halo_index%v)
-          call psb_cd_reinit(desc_a, info)
-        end if
         if (nz > 0) then
           !
           ! Should we check for new indices here?
diff --git a/base/tools/psb_zspasb.f90 b/base/tools/psb_zspasb.f90
index db229b17..aeeef94d 100644
--- a/base/tools/psb_zspasb.f90
+++ b/base/tools/psb_zspasb.f90
@@ -146,12 +146,6 @@ subroutine psb_zspasb(a,desc_a, info, afmt, upd, mold)
         call psb_remote_mat(a%rmta,desc_a,a_add,info)
         nz = a_add%get_nzeros()
 !!$        write(0,*) me,name,' Nz to be added',nz
-        nzt = nz
-        call psb_sum(ctxt,nzt)
-        if (nzt>0) then
-          allocate(ivm, mold=desc_a%v_halo_index%v)
-          call psb_cd_reinit(desc_a, info)
-        end if
         if (nz > 0) then
           !
           ! Should we check for new indices here?
diff --git a/docs/psblas-3.7.pdf b/docs/psblas-3.8.pdf
similarity index 80%
rename from docs/psblas-3.7.pdf
rename to docs/psblas-3.8.pdf
index 89becbdf..25c29e24 100644
--- a/docs/psblas-3.7.pdf
+++ b/docs/psblas-3.8.pdf
@@ -4,220 +4,220 @@
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 << /S /GoTo /D (subsubsection.3.2.9) >>
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 << /S /GoTo /D (subsubsection.3.2.10) >>
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 << /S /GoTo /D (subsubsection.3.2.16) >>
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 << /S /GoTo /D (subsubsection.3.2.17) >>
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 << /S /GoTo /D (subsection.4.6) >>
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 << /S /GoTo /D (subsection.4.8) >>
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 << /S /GoTo /D (subsection.4.10) >>
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 << /S /GoTo /D (subsection.4.11) >>
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 << /S /GoTo /D (subsection.4.12) >>
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 << /S /GoTo /D (subsection.4.13) >>
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 << /S /GoTo /D (subsection.4.15) >>
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+(4.15 psb\137gediv \204 Entrywise Division)
 % 283 0 obj
 << /S /GoTo /D (subsection.4.16) >>
 % 286 0 obj
-(\376\377\0004\000.\0001\0006\000\040\000p\000s\000b\000\137\000g\000e\000i\000n\000v\000\040\040\024\000\040\000E\000n\000t\000r\000y\000w\000i\000s\000e\000\040\000I\000n\000v\000e\000r\000s\000i\000o\000n)
+(4.16 psb\137geinv \204 Entrywise Inversion)
 % 287 0 obj
 << /S /GoTo /D (section.5) >>
 % 290 0 obj
-(\376\377\0005\000\040\000C\000o\000m\000m\000u\000n\000i\000c\000a\000t\000i\000o\000n\000\040\000r\000o\000u\000t\000i\000n\000e\000s)
+(5 Communication routines)
 % 291 0 obj
 << /S /GoTo /D (subsection.5.1) >>
 % 294 0 obj
-(\376\377\0005\000.\0001\000\040\000p\000s\000b\000\137\000h\000a\000l\000o\000\040\040\024\000\040\000H\000a\000l\000o\000\040\000D\000a\000t\000a\000\040\000C\000o\000m\000m\000u\000n\000i\000c\000a\000t\000i\000o\000n)
+(5.1 psb\137halo \204 Halo Data Communication)
 % 295 0 obj
 << /S /GoTo /D (subsection.5.2) >>
 % 298 0 obj
-(\376\377\0005\000.\0002\000\040\000p\000s\000b\000\137\000o\000v\000r\000l\000\040\040\024\000\040\000O\000v\000e\000r\000l\000a\000p\000\040\000U\000p\000d\000a\000t\000e)
+(5.2 psb\137ovrl \204 Overlap Update)
 % 299 0 obj
 << /S /GoTo /D (subsection.5.3) >>
 % 302 0 obj
-(\376\377\0005\000.\0003\000\040\000p\000s\000b\000\137\000g\000a\000t\000h\000e\000r\000\040\040\024\000\040\000G\000a\000t\000h\000e\000r\000\040\000G\000l\000o\000b\000a\000l\000\040\000D\000e\000n\000s\000e\000\040\000M\000a\000t\000r\000i\000x)
+(5.3 psb\137gather \204 Gather Global Dense Matrix)
 % 303 0 obj
 << /S /GoTo /D (subsection.5.4) >>
 % 306 0 obj
-(\376\377\0005\000.\0004\000\040\000p\000s\000b\000\137\000s\000c\000a\000t\000t\000e\000r\000\040\040\024\000\040\000S\000c\000a\000t\000t\000e\000r\000\040\000G\000l\000o\000b\000a\000l\000\040\000D\000e\000n\000s\000e\000\040\000M\000a\000t\000r\000i\000x)
+(5.4 psb\137scatter \204 Scatter Global Dense Matrix)
 % 307 0 obj
 << /S /GoTo /D (section.6) >>
 % 310 0 obj
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+(6 Data management routines)
 % 311 0 obj
 << /S /GoTo /D (subsection.6.1) >>
 % 314 0 obj
-(\376\377\0006\000.\0001\000\040\000p\000s\000b\000\137\000c\000d\000a\000l\000l\000\040\040\024\000\040\000A\000l\000l\000o\000c\000a\000t\000e\000s\000\040\000a\000\040\000c\000o\000m\000m\000u\000n\000i\000c\000a\000t\000i\000o\000n\000\040\000d\000e\000s\000c\000r\000i\000p\000t\000o\000r)
+(6.1 psb\137cdall \204 Allocates a communication descriptor)
 % 315 0 obj
 << /S /GoTo /D (subsection.6.2) >>
 % 318 0 obj
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+(6.2 psb\137cdins \204 Communication descriptor insert routine)
 % 319 0 obj
 << /S /GoTo /D (subsection.6.3) >>
 % 322 0 obj
-(\376\377\0006\000.\0003\000\040\000p\000s\000b\000\137\000c\000d\000a\000s\000b\000\040\040\024\000\040\000C\000o\000m\000m\000u\000n\000i\000c\000a\000t\000i\000o\000n\000\040\000d\000e\000s\000c\000r\000i\000p\000t\000o\000r\000\040\000a\000s\000s\000e\000m\000b\000l\000y\000\040\000r\000o\000u\000t\000i\000n\000e)
+(6.3 psb\137cdasb \204 Communication descriptor assembly routine)
 % 323 0 obj
 << /S /GoTo /D (subsection.6.4) >>
 % 326 0 obj
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+(6.4 psb\137cdcpy \204 Copies a communication descriptor)
 % 327 0 obj
 << /S /GoTo /D (subsection.6.5) >>
 % 330 0 obj
-(\376\377\0006\000.\0005\000\040\000p\000s\000b\000\137\000c\000d\000f\000r\000e\000e\000\040\040\024\000\040\000F\000r\000e\000e\000s\000\040\000a\000\040\000c\000o\000m\000m\000u\000n\000i\000c\000a\000t\000i\000o\000n\000\040\000d\000e\000s\000c\000r\000i\000p\000t\000o\000r)
+(6.5 psb\137cdfree \204 Frees a communication descriptor)
 % 331 0 obj
 << /S /GoTo /D (subsection.6.6) >>
 % 334 0 obj
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+(6.6 psb\137cdbldext \204 Build an extended communication descriptor)
 % 335 0 obj
 << /S /GoTo /D (subsection.6.7) >>
 % 338 0 obj
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+(6.7 psb\137spall \204 Allocates a sparse matrix)
 % 339 0 obj
 << /S /GoTo /D (subsection.6.8) >>
 % 342 0 obj
-(\376\377\0006\000.\0008\000\040\000p\000s\000b\000\137\000s\000p\000i\000n\000s\000\040\040\024\000\040\000I\000n\000s\000e\000r\000t\000\040\000a\000\040\000s\000e\000t\000\040\000o\000f\000\040\000c\000o\000e\000f\000f\000i\000c\000i\000e\000n\000t\000s\000\040\000i\000n\000t\000o\000\040\000a\000\040\000s\000p\000a\000r\000s\000e\000\040\000m\000a\000t\000r\000i\000x)
+(6.8 psb\137spins \204 Insert a set of coefficients into a sparse matrix)
 % 343 0 obj
 << /S /GoTo /D (subsection.6.9) >>
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+(6.9 psb\137spasb \204 Sparse matrix assembly routine)
 % 347 0 obj
 << /S /GoTo /D (subsection.6.10) >>
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+(6.10 psb\137spfree \204 Frees a sparse matrix)
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 << /S /GoTo /D (subsection.6.11) >>
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-(\376\377\0006\000.\0001\0001\000\040\000p\000s\000b\000\137\000s\000p\000r\000n\000\040\040\024\000\040\000R\000e\000i\000n\000i\000t\000\040\000s\000p\000a\000r\000s\000e\000\040\000m\000a\000t\000r\000i\000x\000\040\000s\000t\000r\000u\000c\000t\000u\000r\000e\000\040\000f\000o\000r\000\040\000p\000s\000b\000l\000a\000s\000\040\000r\000o\000u\000t\000i\000n\000e\000s\000.)
+(6.11 psb\137sprn \204 Reinit sparse matrix structure for psblas routines.)
 % 355 0 obj
 << /S /GoTo /D (subsection.6.12) >>
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 << /S /GoTo /D (subsection.6.13) >>
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 << /S /GoTo /D (subsection.6.14) >>
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 << /S /GoTo /D (subsection.6.15) >>
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 << /S /GoTo /D (subsection.6.16) >>
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 << /S /GoTo /D (subsection.6.17) >>
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 << /S /GoTo /D (subsection.6.18) >>
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 << /S /GoTo /D (subsection.6.19) >>
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 << /S /GoTo /D (subsection.6.20) >>
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 << /S /GoTo /D (subsection.6.21) >>
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 << /S /GoTo /D (subsection.6.22) >>
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 << /S /GoTo /D (subsection.6.23) >>
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 << /S /GoTo /D (subsection.7.13) >>
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 << /S /GoTo /D (subsection.7.16) >>
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 << /S /GoTo /D (subsection.7.17) >>
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 << /S /GoTo /D (section.8) >>
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 << /S /GoTo /D (subsection.8.2) >>
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 << /S /GoTo /D (section.9) >>
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+/F51 9.9626 Tf -24.907 -22.695 Td [(Boundary)92(.)]TJ
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@@ -3823,10 +3823,10 @@ q
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@@ -3841,9 +3841,9 @@ stream
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[(is)-234(isomorphic)-235(to)-234(the)-234(set)-235(of)-234(cell)-234(cen-)]TJ -193.593 -11.955 Td [(ters,)-210(wher)18(eas)-200(the)-201(pattern)-200(of)-200(the)-201(associated)-200(linear)-200(system)-200(matrix)-201(is)-200(isomorphic)-200(to)]TJ 0 -11.956 Td [(the)-294(adjacency)-294(graph)-294(imposed)-294(on)-294(the)-294(discr)18(et)1(ization)-294(mesh)-294(by)-294(the)-294(discr)18(etization)]TJ 0 -11.955 Td [(stencil.)]TJ 14.944 -12.17 Td [(Thus)-343(the)-343(\002rst)-343(or)18(der)-344(of)-343(business)-343(is)-343(to)-343(establish)-343(an)-343(index)-343(space,)-367(and)-343(this)-343(is)]TJ -14.944 -11.955 Td [(done)-287(with)-287(a)-287(call)-287(to)]TJ/F62 9.9626 Tf 85.52 0 Td [(psb_cdall)]TJ/F57 9.9626 Tf 49.932 0 Td [(in)-287(which)-287(we)-287(specify)-287(the)-287(size)-287(of)-287(the)-287(index)-287(space)]TJ/F55 9.9626 Tf -135.328 -11.956 Td [(n)]TJ/F57 9.9626 Tf 8.041 0 Td [(and)-238(the)-239(allocation)-238(of)-239(the)-239(ele)1(ments)-239(of)-239(the)-238(index)-239(space)-238(to)-239(the)-238(various)-239(pr)18(ocesses)]TJ -8.165 -11.955 Td [(making)-250(up)-250(the)-250(MPI)-250(\050virtual\051)-250(parallel)-250(machine.)]TJ 14.944 -12.17 Td [(The)-366(index)-367(space)-366(is)-366(partitioned)-367(among)-366(pr)18(ocesses,)-396(and)-366(this)-366(cr)18(eates)-367(a)-366(map-)]TJ -14.944 -11.956 Td [(ping)-301(fr)18(om)-300(the)-301(\223global\224)-301(numbering)-300(1)-180(.)-191(.)-192(.)]TJ/F55 9.9626 Tf 176.584 0 Td [(n)]TJ/F57 9.9626 Tf 8.659 0 Td [(to)-301(a)-300(numbering)-301(\223local\224)-301(to)-301(each)-300(pr)18(o-)]TJ -185.243 -11.955 Td [(cess;)-230(each)-221(pr)18(ocess)]TJ/F55 9.9626 Tf 79.682 0 Td [(i)]TJ/F57 9.9626 Tf 5.162 0 Td [(will)-221(own)-220(a)-221(certain)-220(subset)-221(1)-179(.)-192(.)-192(.)]TJ/F55 9.9626 Tf 130.532 0 Td [(n)]TJ/F57 9.9626 Tf 5.664 -1.494 Td [(r)18(ow)]TJ/F55 5.9776 Tf 17.537 -1.649 Td [(i)]TJ/F57 9.9626 Tf 2.775 3.143 Td [(,)-226(each)-221(element)-221(of)-220(which)]TJ -241.352 -11.955 Td [(corr)18(esponds)-258(to)-259(a)-258(certain)-258(element)-258(of)-259(1)-179(.)-192(.)-191(.)]TJ/F55 9.9626 Tf 177.035 0 Td [(n)]TJ/F57 9.9626 Tf 5.664 0 Td [(.)-335(The)-258(user)-259(doe)1(s)-259(not)-258(set)-258(explicitly)-259(this)]TJ -182.699 -11.955 Td [(mapping;)-225(when)-212(the)-212(application)-212(needs)-213(to)-212(indicate)-212(to)-212(which)-213(el)1(ement)-213(of)-212(the)-212(index)]TJ 0 -11.955 Td [(space)-305(a)-306(certain)-305(item)-306(is)-305(r)18(elated,)-320(such)-305(as)-306(the)-305(r)18(ow)-306(and)-305(column)-306(index)-305(of)-306(a)-305(matrix)]TJ 0 -11.956 Td [(coef)18(\002cient,)-283(it)-276(does)-277(so)-276(in)-277(the)-276(\223global\224)-277(numb)1(ering,)-284(and)-276(the)-276(library)-277(will)-276(translate)]TJ 0 -11.955 Td [(into)-250(the)-250(appr)18(opriate)-250(\223local\224)-250(numbering.)]TJ 14.944 -12.17 Td [(For)-324(a)-325(given)-324(index)-324(space)-325(1)-179(.)-191(.)-192(.)]TJ/F55 9.9626 Tf 129.74 0 Td [(n)]TJ/F57 9.9626 Tf 8.895 0 Td [(ther)18(e)-324(ar)18(e)-325(many)-324(possible)-324(associated)-325(topolo-)]TJ -153.579 -11.956 Td [(gies,)-213(i.e.)-295(many)-204(dif)18(fer)18(ent)-204(discr)18(etization)-204(stencils;)-220(thus)-204(the)-204(description)-204(of)-204(the)-204(index)]TJ 0 -11.955 Td [(space)-277(is)-278(not)-277(completed)-278(until)-277(the)-277(user)-278(has)-277(de\002ned)-278(a)-277(sparsity)-278(p)1(attern,)-285(either)-277(ex-)]TJ 0 -11.955 Td [(plicitly)-263(thr)18(ough)]TJ/F62 9.9626 Tf 71.63 0 Td [(psb_cdins)]TJ/F57 9.9626 Tf 49.698 0 Td [(or)-264(im)1(plicitly)-264(thr)18(ough)]TJ/F62 9.9626 Tf 95.326 0 Td [(psb_spins)]TJ/F57 9.9626 Tf 47.073 0 Td [(.)-351(T)1(he)-264(descriptor)-263(is)]TJ -263.727 -11.955 Td [(\002nalized)-225(with)-225(a)-225(call)-226(to)]TJ/F62 9.9626 Tf 98.787 0 Td [(psb_cdasb)]TJ/F57 9.9626 Tf 49.316 0 Td [(and)-225(a)-225(sparse)-225(matrix)-226(with)-225(a)-225(call)-225(to)]TJ/F62 9.9626 Tf 146.044 0 Td [(psb_spasb)]TJ/F57 9.9626 Tf 47.073 0 Td [(.)]TJ -341.22 -11.955 Td [(After)]TJ/F62 9.9626 Tf 26.16 0 Td [(psb_cdasb)]TJ/F57 9.9626 Tf 50.21 0 Td [(each)-315(pr)18(ocess)]TJ/F55 9.9626 Tf 59.13 0 Td [(i)]TJ/F57 9.9626 Tf 6.101 0 Td [(will)-315(have)-315(de\002ned)-315(a)-314(set)-315(of)-315(\223halo\224)-315(\050or)-315(\223ghost\224\051)]TJ -141.601 -11.955 Td [(indices)]TJ/F55 9.9626 Tf 34.731 0 Td [(n)]TJ/F57 9.9626 Tf 5.663 -1.495 Td [(r)18(ow)]TJ/F55 5.9776 Tf 17.538 -1.648 Td [(i)]TJ/F88 10.3811 Tf 5.211 3.143 Td [(+)]TJ/F57 9.9626 Tf 10.506 0 Td [(1)-179(.)-192(.)-192(.)]TJ/F55 9.9626 Tf 19.967 0 Td [(n)]TJ/F57 9.9626 Tf 5.664 -3.831 Td [(col)]TJ/F55 5.9776 Tf 12.794 -1.648 Td [(i)]TJ/F57 9.9626 Tf 2.775 5.479 Td [(,)-377(denoting)-352(elements)-351(of)-352(the)-352(index)-351(space)-352(that)-351(ar)18(e)]TJ/F55 9.9626 Tf 215.582 0 Td [(not)]TJ/F57 9.9626 Tf -330.431 -13.79 Td [(assigned)-289(to)-290(pr)18(ocess)]TJ/F55 9.9626 Tf 88.744 0 Td [(i)]TJ/F57 9.9626 Tf 2.964 0 Td [(;)-309(however)-290(t)1(he)-290(variables)-289(associated)-290(with)-289(them)-290(ar)18(e)-289(needed)]TJ -91.708 -11.955 Td [(to)-289(complete)-289(computations)-289(associated)-289(with)-290(the)-289(sparse)-289(matrix)]TJ/F55 9.9626 Tf 269.662 0 Td [(A)]TJ/F57 9.9626 Tf 7.318 0 Td [(,)-299(and)-289(thus)-289(they)]TJ -276.98 -11.955 Td [(have)-266(to)-266(be)-266(fetched)-265(fr)18(om)-266(\050neighbouring\051)-266(pr)18(ocesses.)-358(The)-266(descriptor)-265(of)-266(the)-266(index)]TJ 0 -11.956 Td [(space)-294(is)-293(built)-294(exactly)-294(for)-293(the)-294(purpose)-294(of)-293(pr)18(operly)-294(sequencing)-294(the)-293(communica-)]TJ 0 -11.955 Td [(tion)-250(steps)-250(r)18(equir)18(ed)-250(to)-250(achieve)-250(this)-250(objective.)]TJ 14.944 -12.17 Td [(A)-197(simple)-197(application)-197(str)8(uctur)18(e)-197(will)-197(walk)-197(thr)18(ough)-197(the)-197(index)-197(space)-197(allocation,)]TJ -14.944 -11.956 Td [(matrix/vector)-250(cr)18(eation)-250(and)-250(linear)-250(system)-250(solution)-250(as)-250(follows:)]TJ
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[(is)-234(isomorphic)-235(to)-234(the)-234(set)-235(of)-234(cell)-234(cen-)]TJ -193.593 -11.955 Td [(ters,)-210(wher)18(eas)-200(the)-201(pattern)-200(of)-200(the)-201(associated)-200(linear)-200(system)-200(matrix)-201(is)-200(isomorphic)-200(to)]TJ 0 -11.956 Td [(the)-294(adjacency)-294(graph)-294(imposed)-294(on)-294(the)-294(discr)18(et)1(ization)-294(mesh)-294(by)-294(the)-294(discr)18(etization)]TJ 0 -11.955 Td [(stencil.)]TJ 14.944 -12.17 Td [(Thus)-343(the)-343(\002rst)-343(or)18(der)-344(of)-343(business)-343(is)-343(to)-343(establish)-343(an)-343(index)-343(space,)-367(and)-343(this)-343(is)]TJ -14.944 -11.955 Td [(done)-287(with)-287(a)-287(call)-287(to)]TJ/F59 9.9626 Tf 85.52 0 Td [(psb_cdall)]TJ/F54 9.9626 Tf 49.932 0 Td [(in)-287(which)-287(we)-287(specify)-287(the)-287(size)-287(of)-287(the)-287(index)-287(space)]TJ/F52 9.9626 Tf -135.328 -11.956 Td [(n)]TJ/F54 9.9626 Tf 8.041 0 Td [(and)-238(the)-239(allocation)-238(of)-239(the)-239(ele)1(ments)-239(of)-239(the)-238(index)-239(space)-238(to)-239(the)-238(various)-239(pr)18(ocesses)]TJ -8.165 -11.955 Td [(making)-250(up)-250(the)-250(MPI)-250(\050virtual\051)-250(parallel)-250(machine.)]TJ 14.944 -12.17 Td [(The)-366(index)-367(space)-366(is)-366(partitioned)-367(among)-366(pr)18(ocesses,)-396(and)-366(this)-366(cr)18(eates)-367(a)-366(map-)]TJ -14.944 -11.956 Td [(ping)-301(fr)18(om)-300(the)-301(\223global\224)-301(numbering)-300(1)-180(.)-191(.)-192(.)]TJ/F52 9.9626 Tf 176.584 0 Td [(n)]TJ/F54 9.9626 Tf 8.659 0 Td [(to)-301(a)-300(numbering)-301(\223local\224)-301(to)-301(each)-300(pr)18(o-)]TJ -185.243 -11.955 Td [(cess;)-230(each)-221(pr)18(ocess)]TJ/F52 9.9626 Tf 79.682 0 Td [(i)]TJ/F54 9.9626 Tf 5.162 0 Td [(will)-221(own)-220(a)-221(certain)-220(subset)-221(1)-179(.)-192(.)-192(.)]TJ/F52 9.9626 Tf 130.532 0 Td [(n)]TJ/F54 9.9626 Tf 5.664 -1.494 Td [(r)18(ow)]TJ/F52 5.9776 Tf 17.537 -1.649 Td [(i)]TJ/F54 9.9626 Tf 2.775 3.143 Td [(,)-226(each)-221(element)-221(of)-220(which)]TJ -241.352 -11.955 Td [(corr)18(esponds)-258(to)-259(a)-258(certain)-258(element)-258(of)-259(1)-179(.)-192(.)-191(.)]TJ/F52 9.9626 Tf 177.035 0 Td [(n)]TJ/F54 9.9626 Tf 5.664 0 Td [(.)-335(The)-258(user)-259(doe)1(s)-259(not)-258(set)-258(explicitly)-259(this)]TJ -182.699 -11.955 Td [(mapping;)-225(when)-212(the)-212(application)-212(needs)-213(to)-212(indicate)-212(to)-212(which)-213(el)1(ement)-213(of)-212(the)-212(index)]TJ 0 -11.955 Td [(space)-305(a)-306(certain)-305(item)-306(is)-305(r)18(elated,)-320(such)-305(as)-306(the)-305(r)18(ow)-306(and)-305(column)-306(index)-305(of)-306(a)-305(matrix)]TJ 0 -11.956 Td [(coef)18(\002cient,)-283(it)-276(does)-277(so)-276(in)-277(the)-276(\223global\224)-277(numb)1(ering,)-284(and)-276(the)-276(library)-277(will)-276(translate)]TJ 0 -11.955 Td [(into)-250(the)-250(appr)18(opriate)-250(\223local\224)-250(numbering.)]TJ 14.944 -12.17 Td [(For)-324(a)-325(given)-324(index)-324(space)-325(1)-179(.)-191(.)-192(.)]TJ/F52 9.9626 Tf 129.74 0 Td [(n)]TJ/F54 9.9626 Tf 8.895 0 Td [(ther)18(e)-324(ar)18(e)-325(many)-324(possible)-324(associated)-325(topolo-)]TJ -153.579 -11.956 Td [(gies,)-213(i.e.)-295(many)-204(dif)18(fer)18(ent)-204(discr)18(etization)-204(stencils;)-220(thus)-204(the)-204(description)-204(of)-204(the)-204(index)]TJ 0 -11.955 Td [(space)-277(is)-278(not)-277(completed)-278(until)-277(the)-277(user)-278(has)-277(de\002ned)-278(a)-277(sparsity)-278(p)1(attern,)-285(either)-277(ex-)]TJ 0 -11.955 Td [(plicitly)-263(thr)18(ough)]TJ/F59 9.9626 Tf 71.63 0 Td [(psb_cdins)]TJ/F54 9.9626 Tf 49.698 0 Td [(or)-264(im)1(plicitly)-264(thr)18(ough)]TJ/F59 9.9626 Tf 95.326 0 Td [(psb_spins)]TJ/F54 9.9626 Tf 47.073 0 Td [(.)-351(T)1(he)-264(descriptor)-263(is)]TJ -263.727 -11.955 Td [(\002nalized)-225(with)-225(a)-225(call)-226(to)]TJ/F59 9.9626 Tf 98.787 0 Td [(psb_cdasb)]TJ/F54 9.9626 Tf 49.316 0 Td [(and)-225(a)-225(sparse)-225(matrix)-226(with)-225(a)-225(call)-225(to)]TJ/F59 9.9626 Tf 146.044 0 Td [(psb_spasb)]TJ/F54 9.9626 Tf 47.073 0 Td [(.)]TJ -341.22 -11.955 Td [(After)]TJ/F59 9.9626 Tf 26.16 0 Td [(psb_cdasb)]TJ/F54 9.9626 Tf 50.21 0 Td [(each)-315(pr)18(ocess)]TJ/F52 9.9626 Tf 59.13 0 Td [(i)]TJ/F54 9.9626 Tf 6.101 0 Td [(will)-315(have)-315(de\002ned)-315(a)-314(set)-315(of)-315(\223halo\224)-315(\050or)-315(\223ghost\224\051)]TJ -141.601 -11.955 Td [(indices)]TJ/F52 9.9626 Tf 34.731 0 Td [(n)]TJ/F54 9.9626 Tf 5.663 -1.495 Td [(r)18(ow)]TJ/F52 5.9776 Tf 17.538 -1.648 Td [(i)]TJ/F85 10.3811 Tf 5.211 3.143 Td [(+)]TJ/F54 9.9626 Tf 10.506 0 Td [(1)-179(.)-192(.)-192(.)]TJ/F52 9.9626 Tf 19.967 0 Td [(n)]TJ/F54 9.9626 Tf 5.664 -3.831 Td [(col)]TJ/F52 5.9776 Tf 12.794 -1.648 Td [(i)]TJ/F54 9.9626 Tf 2.775 5.479 Td [(,)-377(denoting)-352(elements)-351(of)-352(the)-352(index)-351(space)-352(that)-351(ar)18(e)]TJ/F52 9.9626 Tf 215.582 0 Td [(not)]TJ/F54 9.9626 Tf -330.431 -13.79 Td [(assigned)-289(to)-290(pr)18(ocess)]TJ/F52 9.9626 Tf 88.744 0 Td [(i)]TJ/F54 9.9626 Tf 2.964 0 Td [(;)-309(however)-290(t)1(he)-290(variables)-289(associated)-290(with)-289(them)-290(ar)18(e)-289(needed)]TJ -91.708 -11.955 Td [(to)-289(complete)-289(computations)-289(associated)-289(with)-290(the)-289(sparse)-289(matrix)]TJ/F52 9.9626 Tf 269.662 0 Td [(A)]TJ/F54 9.9626 Tf 7.318 0 Td [(,)-299(and)-289(thus)-289(they)]TJ -276.98 -11.955 Td [(have)-266(to)-266(be)-266(fetched)-265(fr)18(om)-266(\050neighbouring\051)-266(pr)18(ocesses.)-358(The)-266(descriptor)-265(of)-266(the)-266(index)]TJ 0 -11.956 Td [(space)-294(is)-293(built)-294(exactly)-294(for)-293(the)-294(purpose)-294(of)-293(pr)18(operly)-294(sequencing)-294(the)-293(communica-)]TJ 0 -11.955 Td [(tion)-250(steps)-250(r)18(equir)18(ed)-250(to)-250(achieve)-250(this)-250(objective.)]TJ 14.944 -12.17 Td [(A)-197(simple)-197(application)-197(str)8(uctur)18(e)-197(will)-197(walk)-197(thr)18(ough)-197(the)-197(index)-197(space)-197(allocation,)]TJ -14.944 -11.956 Td [(matrix/vector)-250(cr)18(eation)-250(and)-250(linear)-250(system)-250(solution)-250(as)-250(follows:)]TJ
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  12.453 -20.571 Td [(1.)]TJ
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- [-500(Initialize)-250(parallel)-250(envir)18(onment)-250(with)]TJ/F62 9.9626 Tf 171.465 0 Td [(psb_init)]TJ
+ [-500(Initialize)-250(parallel)-250(envir)18(onment)-250(with)]TJ/F59 9.9626 Tf 171.465 0 Td [(psb_init)]TJ
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+/F54 9.9626 Tf -171.465 -20.787 Td [(2.)]TJ
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- [-500(Initialize)-250(index)-250(space)-250(with)]TJ/F62 9.9626 Tf 130.489 0 Td [(psb_cdall)]TJ
+ [-500(Initialize)-250(index)-250(space)-250(with)]TJ/F59 9.9626 Tf 130.489 0 Td [(psb_cdall)]TJ
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-/F57 9.9626 Tf -130.489 -20.788 Td [(3.)]TJ
+/F54 9.9626 Tf -130.489 -20.788 Td [(3.)]TJ
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- [-500(Allocate)-221(sparse)-221(matrix)-221(and)-221(dense)-221(vectors)-220(with)]TJ/F62 9.9626 Tf 215.843 0 Td [(psb_spall)]TJ/F57 9.9626 Tf 49.274 0 Td [(and)]TJ/F62 9.9626 Tf 19.068 0 Td [(psb_geall)]TJ
+ [-500(Allocate)-221(sparse)-221(matrix)-221(and)-221(dense)-221(vectors)-220(with)]TJ/F59 9.9626 Tf 215.843 0 Td [(psb_spall)]TJ/F54 9.9626 Tf 49.274 0 Td [(and)]TJ/F59 9.9626 Tf 19.068 0 Td [(psb_geall)]TJ
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-/F57 9.9626 Tf -284.185 -20.787 Td [(4.)]TJ
+/F54 9.9626 Tf -284.185 -20.787 Td [(4.)]TJ
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+ [-500(Loop)-320(over)-320(all)-320(local)-320(r)18(ows,)-338(generate)-320(matrix)-320(and)-320(vector)-320(entries,)-337(and)-320(insert)]TJ 12.454 -11.955 Td [(them)-250(with)]TJ/F59 9.9626 Tf 47.849 0 Td [(psb_spins)]TJ/F54 9.9626 Tf 49.564 0 Td [(and)]TJ/F59 9.9626 Tf 19.358 0 Td [(psb_geins)]TJ
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+/F54 9.9626 Tf -129.225 -20.787 Td [(5.)]TJ
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-/F62 9.9626 Tf 16.597 0 Td [(psb_cdasb)]TJ
+/F59 9.9626 Tf 16.597 0 Td [(psb_cdasb)]TJ
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+/F54 9.9626 Tf -17.125 -16.371 Td [(\050b\051)]TJ
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-/F62 9.9626 Tf 16.039 0 Td [(psb_geasb)]TJ
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-/F57 9.9626 Tf 122.541 -29.888 Td [(6)]TJ
+/F54 9.9626 Tf 122.541 -29.888 Td [(6)]TJ
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 ET
 
@@ -4859,61 +4859,61 @@ stream
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 BT
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-/F57 7.5716 Tf 52.303 3.616 Td [(3)]TJ
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-/F57 9.9626 Tf 4.284 -3.616 Td [(.)]TJ
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@@ -4952,7 +4952,7 @@ stream
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@@ -4960,39 +4960,39 @@ BT
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+ [(\051\051)]TJ/F54 9.9626 Tf -52.303 -19.925 Td [(In)-253(this)-252(way)-253(the)-253(global)-253(communicati)1(on,)-254(which)-253(for)-252(small)-253(sizes)-253(is)-252(a)-253(latency-)]TJ 0 -11.955 Td [(bound)-250(operation,)-250(is)-250(invoked)-250(only)-250(once.)]TJ
 0 g 0 G
  141.968 -282.939 Td [(33)]TJ
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@@ -9571,16 +9571,16 @@ stream
 0 g 0 G
 0 g 0 G
 BT
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 ET
 q
 1 0 0 1 198.238 706.328 cm
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 Q
 BT
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 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG
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  [-525(psb_gedots\050res,)-525(x,)-525(y,)-525(desc_a,)-525(info\051)]TJ
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 Q
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-/F55 9.9626 Tf 236.394 587.136 Td [(r)-17(e)-25(s)]TJ/F57 9.9626 Tf 12.17 0 Td [(,)]TJ/F55 9.9626 Tf 5.275 0 Td [(x)]TJ/F57 9.9626 Tf 5.205 0 Td [(,)]TJ/F55 9.9626 Tf 5.106 0 Td [(y)]TJ/F54 9.9626 Tf 93.135 0 Td [(Subroutine)]TJ
+/F52 9.9626 Tf 236.394 587.136 Td [(r)-17(e)-25(s)]TJ/F54 9.9626 Tf 12.17 0 Td [(,)]TJ/F52 9.9626 Tf 5.275 0 Td [(x)]TJ/F54 9.9626 Tf 5.205 0 Td [(,)]TJ/F52 9.9626 Tf 5.106 0 Td [(y)]TJ/F51 9.9626 Tf 93.135 0 Td [(Subroutine)]TJ
 ET
 q
 1 0 0 1 230.392 583.351 cm
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 Q
 BT
-/F57 9.9626 Tf 236.369 574.783 Td [(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ
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 ET
 q
 1 0 0 1 373.603 574.982 cm
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-/F57 9.9626 Tf 376.592 574.783 Td [(gedots)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ
+/F54 9.9626 Tf 376.592 574.783 Td [(gedots)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ
 ET
 q
 1 0 0 1 373.603 563.027 cm
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 Q
 BT
-/F57 9.9626 Tf 376.592 562.828 Td [(gedots)]TJ -140.223 -11.956 Td [(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ
+/F54 9.9626 Tf 376.592 562.828 Td [(gedots)]TJ -140.223 -11.956 Td [(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ
 ET
 q
 1 0 0 1 373.603 551.072 cm
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 BT
-/F57 9.9626 Tf 376.592 550.872 Td [(gedots)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ
+/F54 9.9626 Tf 376.592 550.872 Td [(gedots)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ
 ET
 q
 1 0 0 1 373.603 539.116 cm
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 Q
 BT
-/F57 9.9626 Tf 376.592 538.917 Td [(gedots)]TJ
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 ET
 q
 1 0 0 1 230.392 535.131 cm
@@ -9635,118 +9635,118 @@ q
 Q
 0 g 0 G
 BT
-/F57 9.9626 Tf 280.768 506.753 Td [(T)92(able)-250(3:)-310(Data)-250(types)]TJ
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 0 g 0 G
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 0 g 0 G
-/F57 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ
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-/F57 9.9626 Tf 9.963 0 Td [(the)-250(local)-250(portion)-250(of)-250(global)-250(dense)-250(matrix)]TJ/F55 9.9626 Tf 175.614 0 Td [(x)]TJ/F57 9.9626 Tf 5.205 0 Td [(.)]TJ -165.875 -11.956 Td [(Scope:)]TJ/F54 9.9626 Tf 31.431 0 Td [(local)]TJ/F57 9.9626 Tf -31.431 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-207(as:)-289(a)-208(rank)-207(one)-207(or)-208(two)-207(array)-208(or)-207(an)-208(object)-207(of)-208(type)]TJ
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-/F62 9.9626 Tf 244.742 0 Td [(psb)]TJ
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 ET
 q
 1 0 0 1 436.673 388.689 cm
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 Q
 BT
-/F62 9.9626 Tf 439.811 388.49 Td [(T)]TJ
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 ET
 q
 1 0 0 1 445.669 388.689 cm
 []0 d 0 J 0.398 w 0 0 m 3.138 0 l S
 Q
 BT
-/F62 9.9626 Tf 448.807 388.49 Td [(vect)]TJ
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 ET
 q
 1 0 0 1 470.356 388.689 cm
 []0 d 0 J 0.398 w 0 0 m 3.138 0 l S
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 BT
-/F62 9.9626 Tf 473.495 388.49 Td [(type)]TJ
+/F59 9.9626 Tf 473.495 388.49 Td [(type)]TJ
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+ [(.)-494(The)-312(rank)-312(of)]TJ/F52 9.9626 Tf 274.834 0 Td [(x)]TJ/F54 9.9626 Tf 8.31 0 Td [(must)-311(be)]TJ -283.144 -11.955 Td [(the)-250(same)-250(of)]TJ/F52 9.9626 Tf 52.946 0 Td [(y)]TJ/F54 9.9626 Tf 5.106 0 Td [(.)]TJ
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 0 0 1 rg 0 0 1 RG
-/F62 9.9626 Tf 244.743 0 Td [(psb)]TJ
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 ET
 q
 1 0 0 1 436.673 297.738 cm
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 Q
 BT
-/F62 9.9626 Tf 439.811 297.539 Td [(T)]TJ
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 ET
 q
 1 0 0 1 445.669 297.738 cm
 []0 d 0 J 0.398 w 0 0 m 3.138 0 l S
 Q
 BT
-/F62 9.9626 Tf 448.807 297.539 Td [(vect)]TJ
+/F59 9.9626 Tf 448.807 297.539 Td [(vect)]TJ
 ET
 q
 1 0 0 1 470.356 297.738 cm
 []0 d 0 J 0.398 w 0 0 m 3.138 0 l S
 Q
 BT
-/F62 9.9626 Tf 473.495 297.539 Td [(type)]TJ
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+ [(.)-500(The)-314(rank)-313(of)]TJ/F52 9.9626 Tf 274.898 0 Td [(y)]TJ/F54 9.9626 Tf 8.228 0 Td [(must)-313(be)]TJ -283.126 -11.955 Td [(the)-250(same)-250(of)]TJ/F52 9.9626 Tf 53.116 0 Td [(x)]TJ/F54 9.9626 Tf 5.205 0 Td [(.)]TJ
 0 g 0 G
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 ET
 q
 1 0 0 1 171.218 254.607 cm
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 Q
 BT
-/F54 9.9626 Tf 174.207 254.408 Td [(a)]TJ
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 0 g 0 G
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+/F54 9.9626 Tf 9.962 0 Td [(contains)-250(data)-250(str)8(uctur)18(es)-250(for)-250(communications.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.956 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(required)]TJ/F54 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(in)]TJ/F54 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(object)-250(of)-250(type)]TJ
 0 0 1 rg 0 0 1 RG
-/F62 9.9626 Tf 132.243 0 Td [(psb)]TJ
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 ET
 q
 1 0 0 1 324.173 206.786 cm
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 Q
 BT
-/F62 9.9626 Tf 327.311 206.587 Td [(desc)]TJ
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 ET
 q
 1 0 0 1 348.86 206.786 cm
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 Q
 BT
-/F62 9.9626 Tf 351.998 206.587 Td [(type)]TJ
+/F59 9.9626 Tf 351.998 206.587 Td [(type)]TJ
 0 g 0 G
-/F57 9.9626 Tf 20.921 0 Td [(.)]TJ
+/F54 9.9626 Tf 20.921 0 Td [(.)]TJ
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  0 -19.221 Td [(res)]TJ
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 ET
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 1 0 0 1 422.639 533.722 cm
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 1 0 0 1 422.639 521.767 cm
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 1 0 0 1 470.356 362.508 cm
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+ [-500(The)-190(computation)-190(of)-190(a)-190(global)-190(r)18(esult)-190(r)18(equir)18(es)-190(a)-190(global)-190(communication,)-202(which)]TJ 12.453 -11.955 Td [(entails)-318(a)-318(signi\002cant)-318(over)18(head.)-513(It)-318(may)-318(be)-318(necessary)-318(and/or)-317(advisable)-318(to)]TJ 0 -11.955 Td [(compute)-333(multiple)-333(norms)-333(at)-332(the)-333(same)-333(time;)-374(in)-333(this)-333(case,)-354(it)-333(i)1(s)-333(possible)-333(to)]TJ 0 -11.955 Td [(impr)18(ove)-250(the)-250(r)8(untime)-250(ef)18(\002ciency)-250(by)-250(using)-250(the)-250(following)-250(scheme:)]TJ/F59 9.9626 Tf 20.922 -19.926 Td [(vres\050)]TJ
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  [(3)]TJ
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+ [(\051\051)]TJ/F54 9.9626 Tf -52.304 -19.926 Td [(In)-253(this)-252(way)-253(the)-253(global)-253(communication,)-253(which)-253(for)-252(small)-253(sizes)-253(is)-252(a)-253(latency-)]TJ 0 -11.955 Td [(bound)-250(operation,)-250(is)-250(invoked)-250(only)-250(once.)]TJ
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-/F54 11.9552 Tf 99.895 706.129 Td [(4.7)-1000(psb)]TJ
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 ET
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+/F51 11.9552 Tf 151.016 706.129 Td [(geasums)-250(\227)-250(Generalized)-250(1-Norm)-250(of)-250(V)111(ector)]TJ/F54 9.9626 Tf -51.121 -20.192 Td [(This)-216(subr)18(outine)-217(computes)-216(a)-217(series)-216(of)-216(1-norms)-217(on)-216(the)-217(columns)-216(of)-216(a)-217(dense)-216(matrix)]TJ/F52 9.9626 Tf 0.294 -11.955 Td [(x)]TJ/F54 9.9626 Tf 5.206 0 Td [(:)]TJ/F52 9.9626 Tf 120.031 -13.856 Td [(r)-17(e)-25(s)]TJ/F85 10.3811 Tf 12.293 0 Td [(\050)]TJ/F52 9.9626 Tf 4.205 0 Td [(i)]TJ/F85 10.3811 Tf 3.088 0 Td [(\051)]TJ/F83 10.3811 Tf 7.041 0 Td [(\040)]TJ/F54 9.9626 Tf 13.273 0 Td [(max)]TJ/F52 7.5716 Tf 7.76 -7.335 Td [(k)]TJ/F83 10.3811 Tf 12.944 7.335 Td [(j)]TJ/F52 9.9626 Tf 3.298 0 Td [(x)]TJ/F85 10.3811 Tf 5.33 0 Td [(\050)]TJ/F52 9.9626 Tf 4.273 0 Td [(k)]TJ/F54 9.9626 Tf 4.598 0 Td [(,)]TJ/F52 9.9626 Tf 4.206 0 Td [(i)]TJ/F85 10.3811 Tf 3.088 0 Td [(\051)]TJ/F83 10.3811 Tf 4.274 0 Td [(j)]TJ/F54 9.9626 Tf -215.202 -24.535 Td [(This)-250(function)-250(computes)-250(the)-250(1-norm)-250(of)-250(a)-250(vector)]TJ/F52 9.9626 Tf 206.349 0 Td [(x)]TJ/F54 9.9626 Tf 5.205 0 Td [(.)]TJ -211.554 -11.955 Td [(If)]TJ/F52 9.9626 Tf 9.46 0 Td [(x)]TJ/F54 9.9626 Tf 7.696 0 Td [(is)-250(a)-250(r)18(eal)-250(vector)-250(it)-250(computes)-250(1-norm)-250(as:)]TJ/F52 9.9626 Tf 125.227 -23.185 Td [(r)-17(e)-25(s)]TJ/F85 10.3811 Tf 12.293 0 Td [(\050)]TJ/F52 9.9626 Tf 4.205 0 Td [(i)]TJ/F85 10.3811 Tf 3.088 0 Td [(\051)]TJ/F83 10.3811 Tf 7.041 0 Td [(\040)-291(k)]TJ/F52 9.9626 Tf 19.007 0 Td [(x)]TJ/F52 7.5716 Tf 5.147 -1.96 Td [(i)]TJ/F83 10.3811 Tf 2.875 1.96 Td [(k)]TJ/F54 9.9626 Tf -196.039 -23.185 Td [(else)-250(if)]TJ/F52 9.9626 Tf 28.159 0 Td [(x)]TJ/F54 9.9626 Tf 7.696 0 Td [(is)-250(a)-250(complex)-250(vector)-250(then)-250(it)-250(computes)-250(1-norm)-250(as:)]TJ/F52 9.9626 Tf 71.212 -23.185 Td [(r)-17(e)-25(s)]TJ/F85 10.3811 Tf 12.294 0 Td [(\050)]TJ/F52 9.9626 Tf 4.204 0 Td [(i)]TJ/F85 10.3811 Tf 3.089 0 Td [(\051)]TJ/F83 10.3811 Tf 7.041 0 Td [(\040)-291(k)]TJ/F52 9.9626 Tf 18.737 0 Td [(r)-17(e)]TJ/F85 10.3811 Tf 8.169 0 Td [(\050)]TJ/F52 9.9626 Tf 4.444 0 Td [(x)]TJ/F85 10.3811 Tf 5.33 0 Td [(\051)]TJ/F83 10.3811 Tf 4.274 0 Td [(k)]TJ/F54 7.5716 Tf 5.315 -1.858 Td [(1)]TJ/F85 10.3811 Tf 6.345 1.858 Td [(+)]TJ/F83 10.3811 Tf 10.256 0 Td [(k)]TJ/F52 9.9626 Tf 5.37 0 Td [(i)-32(m)]TJ/F85 10.3811 Tf 11.088 0 Td [(\050)]TJ/F52 9.9626 Tf 4.443 0 Td [(x)]TJ/F85 10.3811 Tf 5.33 0 Td [(\051)]TJ/F83 10.3811 Tf 4.274 0 Td [(k)]TJ/F54 7.5716 Tf 5.315 -1.858 Td [(1)]TJ
 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG
-/F62 9.9626 Tf -212.21 -21.96 Td [(call)]TJ
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 0 g 0 G
  [-525(psb_geasums\050res,)-525(x,)-525(desc_a,)-525(info\051)]TJ
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@@ -10442,42 +10442,42 @@ q
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 Q
 BT
-/F55 9.9626 Tf 132.33 506.059 Td [(r)-17(e)-25(s)-8868(x)]TJ/F54 9.9626 Tf 221.014 0 Td [(Subroutine)]TJ
+/F52 9.9626 Tf 132.33 506.059 Td [(r)-17(e)-25(s)-8868(x)]TJ/F51 9.9626 Tf 221.014 0 Td [(Subroutine)]TJ
 ET
 q
 1 0 0 1 126.328 502.274 cm
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 Q
 BT
-/F57 9.9626 Tf 132.305 493.706 Td [(Short)-250(Pr)18(ecision)-250(Real)-1200(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ
+/F54 9.9626 Tf 132.305 493.706 Td [(Short)-250(Pr)18(ecision)-250(Real)-1200(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ
 ET
 q
 1 0 0 1 369.663 493.905 cm
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 Q
 BT
-/F57 9.9626 Tf 372.651 493.706 Td [(geasums)]TJ -240.346 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-1279(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ
+/F54 9.9626 Tf 372.651 493.706 Td [(geasums)]TJ -240.346 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-1279(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ
 ET
 q
 1 0 0 1 369.663 481.95 cm
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 BT
-/F57 9.9626 Tf 372.651 481.751 Td [(geasums)]TJ -240.346 -11.956 Td [(Short)-250(Pr)18(ecision)-250(Real)-1200(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ
+/F54 9.9626 Tf 372.651 481.751 Td [(geasums)]TJ -240.346 -11.956 Td [(Short)-250(Pr)18(ecision)-250(Real)-1200(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ
 ET
 q
 1 0 0 1 369.663 469.995 cm
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 BT
-/F57 9.9626 Tf 372.651 469.795 Td [(geasums)]TJ -240.346 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-1279(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ
+/F54 9.9626 Tf 372.651 469.795 Td [(geasums)]TJ -240.346 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-1279(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ
 ET
 q
 1 0 0 1 369.663 458.04 cm
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 Q
 BT
-/F57 9.9626 Tf 372.651 457.84 Td [(geasums)]TJ
+/F54 9.9626 Tf 372.651 457.84 Td [(geasums)]TJ
 ET
 q
 1 0 0 1 126.328 454.054 cm
@@ -10485,85 +10485,85 @@ q
 Q
 0 g 0 G
 BT
-/F57 9.9626 Tf 229.958 425.676 Td [(T)92(able)-250(7:)-310(Data)-250(types)]TJ
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 0 g 0 G
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-/F54 9.9626 Tf -130.063 -37.636 Td [(T)90(ype:)]TJ
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 0 g 0 G
-/F57 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ
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-/F54 9.9626 Tf -29.828 -22.46 Td [(On)-250(Entry)]TJ
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-/F57 9.9626 Tf 9.963 0 Td [(the)-250(local)-250(portion)-250(of)-250(global)-250(dense)-250(matrix)]TJ/F55 9.9626 Tf 175.614 0 Td [(x)]TJ/F57 9.9626 Tf 5.205 0 Td [(.)]TJ -165.875 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.956 Td [(Speci\002ed)-207(as:)-289(a)-208(rank)-207(one)-208(or)-207(two)-207(array)-208(or)-207(an)-208(object)-207(of)-208(type)]TJ
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 0 0 1 rg 0 0 1 RG
-/F62 9.9626 Tf 244.743 0 Td [(psb)]TJ
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 ET
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 1 0 0 1 385.864 295.5 cm
 []0 d 0 J 0.398 w 0 0 m 3.138 0 l S
 Q
 BT
-/F62 9.9626 Tf 389.002 295.3 Td [(T)]TJ
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 ET
 q
 1 0 0 1 394.86 295.5 cm
 []0 d 0 J 0.398 w 0 0 m 3.138 0 l S
 Q
 BT
-/F62 9.9626 Tf 397.998 295.3 Td [(vect)]TJ
+/F59 9.9626 Tf 397.998 295.3 Td [(vect)]TJ
 ET
 q
 1 0 0 1 419.547 295.5 cm
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 Q
 BT
-/F62 9.9626 Tf 422.685 295.3 Td [(type)]TJ
+/F59 9.9626 Tf 422.685 295.3 Td [(type)]TJ
 0 g 0 G
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  [(.)]TJ
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-/F54 9.9626 Tf -24.907 -22.459 Td [(desc)]TJ
+/F51 9.9626 Tf -24.907 -22.459 Td [(desc)]TJ
 ET
 q
 1 0 0 1 120.408 261.085 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F54 9.9626 Tf 123.397 260.886 Td [(a)]TJ
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 0 g 0 G
-/F57 9.9626 Tf 9.963 0 Td [(contains)-250(data)-250(str)8(uctur)18(es)-250(for)-250(communications.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.956 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(object)-250(of)-250(type)]TJ
+/F54 9.9626 Tf 9.963 0 Td [(contains)-250(data)-250(str)8(uctur)18(es)-250(for)-250(communications.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.956 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(object)-250(of)-250(type)]TJ
 0 0 1 rg 0 0 1 RG
-/F62 9.9626 Tf 132.243 0 Td [(psb)]TJ
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 ET
 q
 1 0 0 1 273.363 213.264 cm
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 Q
 BT
-/F62 9.9626 Tf 276.501 213.065 Td [(desc)]TJ
+/F59 9.9626 Tf 276.501 213.065 Td [(desc)]TJ
 ET
 q
 1 0 0 1 298.05 213.264 cm
 []0 d 0 J 0.398 w 0 0 m 3.138 0 l S
 Q
 BT
-/F62 9.9626 Tf 301.189 213.065 Td [(type)]TJ
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 0 g 0 G
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 0 g 0 G
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 ET
 q
 1 0 0 1 179.842 576.161 cm
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-/F57 9.9626 Tf 185.819 567.594 Td [(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ
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 ET
 q
 1 0 0 1 323.053 567.793 cm
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-/F57 9.9626 Tf 326.042 567.594 Td [(spnrmi)]TJ -140.223 -11.956 Td [(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ
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 ET
 q
 1 0 0 1 323.053 555.838 cm
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-/F57 9.9626 Tf 326.042 555.638 Td [(spnrmi)]TJ -140.223 -11.955 Td [(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ
+/F54 9.9626 Tf 326.042 555.638 Td [(spnrmi)]TJ -140.223 -11.955 Td [(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ
 ET
 q
 1 0 0 1 323.053 543.882 cm
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 Q
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-/F57 9.9626 Tf 326.042 543.683 Td [(spnrmi)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ
+/F54 9.9626 Tf 326.042 543.683 Td [(spnrmi)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ
 ET
 q
 1 0 0 1 323.053 531.927 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F57 9.9626 Tf 326.042 531.728 Td [(spnrmi)]TJ
+/F54 9.9626 Tf 326.042 531.728 Td [(spnrmi)]TJ
 ET
 q
 1 0 0 1 179.842 527.942 cm
@@ -11884,81 +11884,81 @@ q
 Q
 0 g 0 G
 BT
-/F57 9.9626 Tf 227.467 499.564 Td [(T)92(able)-250(11:)-310(Data)-250(types)]TJ
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 0 g 0 G
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-/F62 9.9626 Tf -127.572 -33.873 Td [(psb_spnrmi\050A,)-525(desc_a,)-525(info\051)]TJ 0 -11.955 Td [(psb_normi\050A,)-525(desc_a,)-525(info\051)]TJ
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-/F57 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ
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 0 g 0 G
-/F54 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ
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-/F57 9.9626 Tf 9.963 0 Td [(the)-250(local)-250(portion)-250(of)-250(the)-250(global)-250(sparse)-250(matrix)]TJ/F55 9.9626 Tf 194.722 0 Td [(A)]TJ/F57 9.9626 Tf 7.318 0 Td [(.)]TJ -187.096 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(object)-250(of)-250(type)]TJ
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 0 0 1 rg 0 0 1 RG
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 ET
 q
 1 0 0 1 273.363 344.346 cm
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 Q
 BT
-/F62 9.9626 Tf 276.501 344.147 Td [(Tspmat)]TJ
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 ET
 q
 1 0 0 1 308.511 344.346 cm
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-/F62 9.9626 Tf 311.649 344.147 Td [(type)]TJ
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-/F57 9.9626 Tf 20.922 0 Td [(.)]TJ
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-/F54 9.9626 Tf -232.676 -19.926 Td [(desc)]TJ
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 ET
 q
 1 0 0 1 120.408 324.421 cm
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 Q
 BT
-/F54 9.9626 Tf 123.397 324.221 Td [(a)]TJ
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 0 g 0 G
-/F57 9.9626 Tf 9.963 0 Td [(contains)-250(data)-250(str)8(uctur)18(es)-250(for)-250(communications.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(object)-250(of)-250(type)]TJ
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 0 0 1 rg 0 0 1 RG
-/F62 9.9626 Tf 132.243 0 Td [(psb)]TJ
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 ET
 q
 1 0 0 1 273.363 276.6 cm
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 Q
 BT
-/F62 9.9626 Tf 276.501 276.401 Td [(desc)]TJ
+/F59 9.9626 Tf 276.501 276.401 Td [(desc)]TJ
 ET
 q
 1 0 0 1 298.05 276.6 cm
 []0 d 0 J 0.398 w 0 0 m 3.138 0 l S
 Q
 BT
-/F62 9.9626 Tf 301.189 276.401 Td [(type)]TJ
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 0 g 0 G
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 0 g 0 G
-/F54 9.9626 Tf -222.215 -19.926 Td [(On)-250(Return)]TJ
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 0 g 0 G
 0 g 0 G
  0 -19.925 Td [(Function)-250(value)]TJ
 0 g 0 G
-/F57 9.9626 Tf 72.777 0 Td [(is)-250(the)-250(in\002nity-norm)-250(of)-250(sparse)-250(submatrix)]TJ/F55 9.9626 Tf 177.627 0 Td [(A)]TJ/F57 9.9626 Tf 7.317 0 Td [(.)]TJ -232.814 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(global)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(long)-250(pr)18(ecision)-250(r)18(eal)-250(number)74(.)]TJ
+/F54 9.9626 Tf 72.777 0 Td [(is)-250(the)-250(in\002nity-norm)-250(of)-250(sparse)-250(submatrix)]TJ/F52 9.9626 Tf 177.627 0 Td [(A)]TJ/F54 9.9626 Tf 7.317 0 Td [(.)]TJ -232.814 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(global)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(long)-250(pr)18(ecision)-250(r)18(eal)-250(number)74(.)]TJ
 0 g 0 G
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 0 g 0 G
-/F57 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(out)]TJ/F57 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ
+/F54 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ
 0 g 0 G
  141.968 -54.456 Td [(47)]TJ
 0 g 0 G
@@ -11974,38 +11974,38 @@ stream
 0 g 0 G
 0 g 0 G
 BT
-/F54 11.9552 Tf 150.705 706.129 Td [(4.12)-1000(psb)]TJ
+/F51 11.9552 Tf 150.705 706.129 Td [(4.12)-1000(psb)]TJ
 ET
 q
 1 0 0 1 204.216 706.328 cm
 []0 d 0 J 0.398 w 0 0 m 3.587 0 l S
 Q
 BT
-/F54 11.9552 Tf 207.803 706.129 Td [(spmm)-250(\227)-250(Sparse)-250(Matrix)-250(by)-250(Dense)-250(Matrix)-250(Product)]TJ/F57 9.9626 Tf -57.098 -19.303 Td [(This)-250(subr)18(outine)-250(computes)-250(the)-250(Sparse)-250(Matrix)-250(by)-250(Dense)-250(Matrix)-250(Pr)18(oduct:)]TJ/F55 9.9626 Tf 140.147 -24.611 Td [(y)]TJ/F86 10.3811 Tf 7.998 0 Td [(\040)]TJ/F63 9.9626 Tf 13.397 0 Td [(a)]TJ/F55 9.9626 Tf 6.008 0 Td [(A)-42(x)]TJ/F88 10.3811 Tf 14.878 0 Td [(+)]TJ/F63 9.9626 Tf 10.505 0 Td [(b)]TJ/F55 9.9626 Tf 5.649 0 Td [(y)]TJ
+/F51 11.9552 Tf 207.803 706.129 Td [(spmm)-250(\227)-250(Sparse)-250(Matrix)-250(by)-250(Dense)-250(Matrix)-250(Product)]TJ/F54 9.9626 Tf -57.098 -19.303 Td [(This)-250(subr)18(outine)-250(computes)-250(the)-250(Sparse)-250(Matrix)-250(by)-250(Dense)-250(Matrix)-250(Pr)18(oduct:)]TJ/F52 9.9626 Tf 140.147 -24.611 Td [(y)]TJ/F83 10.3811 Tf 7.998 0 Td [(\040)]TJ/F60 9.9626 Tf 13.397 0 Td [(a)]TJ/F52 9.9626 Tf 6.008 0 Td [(A)-42(x)]TJ/F85 10.3811 Tf 14.878 0 Td [(+)]TJ/F60 9.9626 Tf 10.505 0 Td [(b)]TJ/F52 9.9626 Tf 5.649 0 Td [(y)]TJ
 0 g 0 G
-/F57 9.9626 Tf 133.513 0 Td [(\0501\051)]TJ
+/F54 9.9626 Tf 133.513 0 Td [(\0501\051)]TJ
 0 g 0 G
-/F55 9.9626 Tf -194.745 -20.13 Td [(y)]TJ/F86 10.3811 Tf 7.998 0 Td [(\040)]TJ/F63 9.9626 Tf 13.398 0 Td [(a)]TJ/F55 9.9626 Tf 6.007 0 Td [(A)]TJ/F55 7.5716 Tf 7.511 4.115 Td [(T)]TJ/F55 9.9626 Tf 5.694 -4.115 Td [(x)]TJ/F88 10.3811 Tf 7.267 0 Td [(+)]TJ/F63 9.9626 Tf 10.505 0 Td [(b)]TJ/F55 9.9626 Tf 5.649 0 Td [(y)]TJ
+/F52 9.9626 Tf -194.745 -20.13 Td [(y)]TJ/F83 10.3811 Tf 7.998 0 Td [(\040)]TJ/F60 9.9626 Tf 13.398 0 Td [(a)]TJ/F52 9.9626 Tf 6.007 0 Td [(A)]TJ/F52 7.5716 Tf 7.511 4.115 Td [(T)]TJ/F52 9.9626 Tf 5.694 -4.115 Td [(x)]TJ/F85 10.3811 Tf 7.267 0 Td [(+)]TJ/F60 9.9626 Tf 10.505 0 Td [(b)]TJ/F52 9.9626 Tf 5.649 0 Td [(y)]TJ
 0 g 0 G
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 0 g 0 G
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+/F52 9.9626 Tf -195.482 -20.129 Td [(y)]TJ/F83 10.3811 Tf 7.998 0 Td [(\040)]TJ/F60 9.9626 Tf 13.397 0 Td [(a)]TJ/F52 9.9626 Tf 6.008 0 Td [(A)]TJ/F52 7.5716 Tf 7.7 4.114 Td [(H)]TJ/F52 9.9626 Tf 6.981 -4.114 Td [(x)]TJ/F85 10.3811 Tf 7.267 0 Td [(+)]TJ/F60 9.9626 Tf 10.505 0 Td [(b)]TJ/F52 9.9626 Tf 5.649 0 Td [(y)]TJ
 0 g 0 G
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+/F54 9.9626 Tf 10.186 0 Td [(is)-250(the)-250(global)-250(dense)-250(matrix)]TJ/F52 9.9626 Tf 115.61 0 Td [(x)]TJ/F54 7.5716 Tf 5.201 -1.494 Td [(:)-12(,)-13(:)]TJ
 0 g 0 G
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+/F52 9.9626 Tf -131.167 -19.132 Td [(y)]TJ
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+/F54 9.9626 Tf 10.087 0 Td [(is)-250(the)-250(global)-250(dense)-250(matrix)]TJ/F52 9.9626 Tf 115.441 0 Td [(y)]TJ/F54 7.5716 Tf 5.2 -1.494 Td [(:)-13(,)-12(:)]TJ
 0 g 0 G
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+/F52 9.9626 Tf -130.23 -19.131 Td [(A)]TJ
 0 g 0 G
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+/F54 9.9626 Tf 12.299 0 Td [(is)-250(the)-250(global)-250(sparse)-250(matrix)]TJ/F52 9.9626 Tf 118.41 0 Td [(A)]TJ
 0 g 0 G
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@@ -12015,42 +12015,42 @@ q
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 Q
 BT
-/F55 9.9626 Tf 236.992 509.418 Td [(A)]TJ/F57 9.9626 Tf 7.318 0 Td [(,)]TJ/F55 9.9626 Tf 5.275 0 Td [(x)]TJ/F57 9.9626 Tf 5.205 0 Td [(,)]TJ/F55 9.9626 Tf 5.106 0 Td [(y)]TJ/F57 9.9626 Tf 5.106 0 Td [(,)]TJ/F63 9.9626 Tf 5.106 0 Td [(a)]TJ/F57 9.9626 Tf 5.385 0 Td [(,)]TJ/F63 9.9626 Tf 5.355 0 Td [(b)]TJ/F54 9.9626 Tf 76.437 0 Td [(Subroutine)]TJ
+/F52 9.9626 Tf 236.992 509.418 Td [(A)]TJ/F54 9.9626 Tf 7.318 0 Td [(,)]TJ/F52 9.9626 Tf 5.275 0 Td [(x)]TJ/F54 9.9626 Tf 5.205 0 Td [(,)]TJ/F52 9.9626 Tf 5.106 0 Td [(y)]TJ/F54 9.9626 Tf 5.106 0 Td [(,)]TJ/F60 9.9626 Tf 5.106 0 Td [(a)]TJ/F54 9.9626 Tf 5.385 0 Td [(,)]TJ/F60 9.9626 Tf 5.355 0 Td [(b)]TJ/F51 9.9626 Tf 76.437 0 Td [(Subroutine)]TJ
 ET
 q
 1 0 0 1 230.392 505.633 cm
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 Q
 BT
-/F57 9.9626 Tf 236.369 497.065 Td [(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ
+/F54 9.9626 Tf 236.369 497.065 Td [(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ
 ET
 q
 1 0 0 1 373.603 497.264 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
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-/F62 9.9626 Tf 439.811 144.236 Td [(T)]TJ
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 1 0 0 1 470.356 144.435 cm
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 1 0 0 1 394.86 592.09 cm
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-/F62 9.9626 Tf 397.998 591.891 Td [(vect)]TJ
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 ET
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 1 0 0 1 273.363 501.762 cm
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  [-250(3)]TJ
 0 g 0 G
- -45.878 -18.597 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(global)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(optional)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Default:)]TJ/F55 9.9626 Tf 38.64 0 Td [(t)-15(r)-50(a)-25(n)-25(s)]TJ/F88 10.3811 Tf 25.193 0 Td [(=)]TJ/F55 9.9626 Tf 11.434 0 Td [(N)]TJ/F57 9.9626 Tf -75.267 -11.956 Td [(Speci\002ed)-250(as:)-310(a)-250(character)-250(variable.)]TJ
+ -45.878 -18.597 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(global)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(optional)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Default:)]TJ/F52 9.9626 Tf 38.64 0 Td [(t)-15(r)-50(a)-25(n)-25(s)]TJ/F85 10.3811 Tf 25.193 0 Td [(=)]TJ/F52 9.9626 Tf 11.434 0 Td [(N)]TJ/F54 9.9626 Tf -75.267 -11.956 Td [(Speci\002ed)-250(as:)-310(a)-250(character)-250(variable.)]TJ
 0 g 0 G
-/F54 9.9626 Tf -24.907 -18.596 Td [(work)]TJ
+/F51 9.9626 Tf -24.907 -18.596 Td [(work)]TJ
 0 g 0 G
-/F57 9.9626 Tf 28.782 0 Td [(work)-250(array)111(.)]TJ -3.875 -11.956 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(optional)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(inout)]TJ/F57 9.9626 Tf 24.349 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-270(as:)-351(a)-270(rank)-270(one)-270(array)-271(of)-270(the)-270(same)-270(type)-271(of)]TJ/F55 9.9626 Tf 220.875 0 Td [(x)]TJ/F57 9.9626 Tf 7.898 0 Td [(and)]TJ/F55 9.9626 Tf 19.684 0 Td [(y)]TJ/F57 9.9626 Tf 7.798 0 Td [(with)-270(the)-270(T)74(AR-)]TJ -256.255 -11.955 Td [(GET)-250(attribute.)]TJ
+/F54 9.9626 Tf 28.782 0 Td [(work)-250(array)111(.)]TJ -3.875 -11.956 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(optional)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(inout)]TJ/F54 9.9626 Tf 24.349 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-270(as:)-351(a)-270(rank)-270(one)-270(array)-271(of)-270(the)-270(same)-270(type)-271(of)]TJ/F52 9.9626 Tf 220.875 0 Td [(x)]TJ/F54 9.9626 Tf 7.898 0 Td [(and)]TJ/F52 9.9626 Tf 19.684 0 Td [(y)]TJ/F54 9.9626 Tf 7.798 0 Td [(with)-270(the)-270(T)74(AR-)]TJ -256.255 -11.955 Td [(GET)-250(attribute.)]TJ
 0 g 0 G
-/F54 9.9626 Tf -24.907 -18.597 Td [(On)-250(Return)]TJ
+/F51 9.9626 Tf -24.907 -18.597 Td [(On)-250(Return)]TJ
 0 g 0 G
 0 g 0 G
  0 -18.597 Td [(y)]TJ
 0 g 0 G
-/F57 9.9626 Tf 10.521 0 Td [(the)-250(local)-250(portion)-250(of)-250(r)18(esult)-250(matrix)]TJ/F55 9.9626 Tf 144.939 0 Td [(y)]TJ/F57 9.9626 Tf 5.106 0 Td [(.)]TJ -135.659 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(inout)]TJ/F57 9.9626 Tf 24.349 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-379(as:)-568(an)-379(array)-379(of)-379(rank)-379(one)-379(or)-379(two)-379(containing)-379(numbers)-379(of)-379(type)]TJ 0 -11.955 Td [(speci\002ed)-250(in)-250(T)92(able)]TJ
+/F54 9.9626 Tf 10.521 0 Td [(the)-250(local)-250(portion)-250(of)-250(r)18(esult)-250(matrix)]TJ/F52 9.9626 Tf 144.939 0 Td [(y)]TJ/F54 9.9626 Tf 5.106 0 Td [(.)]TJ -135.659 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(inout)]TJ/F54 9.9626 Tf 24.349 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-379(as:)-568(an)-379(array)-379(of)-379(rank)-379(one)-379(or)-379(two)-379(containing)-379(numbers)-379(of)-379(type)]TJ 0 -11.955 Td [(speci\002ed)-250(in)-250(T)92(able)]TJ
 0 0 1 rg 0 0 1 RG
  [-250(12)]TJ
 0 g 0 G
  [(.)]TJ
 0 g 0 G
-/F54 9.9626 Tf -24.907 -18.597 Td [(info)]TJ
+/F51 9.9626 Tf -24.907 -18.597 Td [(info)]TJ
 0 g 0 G
-/F57 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(out)]TJ/F57 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.956 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ
+/F54 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.956 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ
 0 g 0 G
  141.968 -36.529 Td [(49)]TJ
 0 g 0 G
@@ -12284,32 +12284,32 @@ stream
 0 g 0 G
 0 g 0 G
 BT
-/F54 11.9552 Tf 150.705 706.129 Td [(4.13)-1000(psb)]TJ
+/F51 11.9552 Tf 150.705 706.129 Td [(4.13)-1000(psb)]TJ
 ET
 q
 1 0 0 1 204.216 706.328 cm
 []0 d 0 J 0.398 w 0 0 m 3.587 0 l S
 Q
 BT
-/F54 11.9552 Tf 207.803 706.129 Td [(spsm)-250(\227)-250(T)111(riangular)-250(System)-250(Solve)]TJ/F57 9.9626 Tf -57.098 -19.83 Td [(This)-250(subr)18(outine)-250(computes)-250(the)-250(T)90(riangular)-250(System)-250(Solve:)]TJ/F55 9.9626 Tf 122.724 -35.213 Td [(y)]TJ/F86 10.3811 Tf 15.193 0 Td [(\040)]TJ/F63 9.9626 Tf 20.593 0 Td [(a)]TJ/F55 9.9626 Tf 5.639 0 Td [(T)]TJ/F86 7.8896 Tf 6.545 4.115 Td [(\000)]TJ/F57 7.5716 Tf 6.228 0 Td [(1)]TJ/F55 9.9626 Tf 4.577 -4.115 Td [(x)]TJ/F88 10.3811 Tf 7.267 0 Td [(+)]TJ/F63 9.9626 Tf 10.505 0 Td [(b)]TJ/F55 9.9626 Tf 5.649 0 Td [(y)]TJ -82.196 -16.139 Td [(y)]TJ/F86 10.3811 Tf 15.193 0 Td [(\040)]TJ/F63 9.9626 Tf 20.593 0 Td [(a)]TJ/F55 9.9626 Tf 5.708 0 Td [(D)-48(T)]TJ/F86 7.8896 Tf 14.775 4.114 Td [(\000)]TJ/F57 7.5716 Tf 6.227 0 Td [(1)]TJ/F55 9.9626 Tf 4.578 -4.114 Td [(x)]TJ/F88 10.3811 Tf 7.267 0 Td [(+)]TJ/F63 9.9626 Tf 10.505 0 Td [(b)]TJ/F55 9.9626 Tf 5.649 0 Td [(y)]TJ -90.495 -16.139 Td [(y)]TJ/F86 10.3811 Tf 15.193 0 Td [(\040)]TJ/F63 9.9626 Tf 20.593 0 Td [(a)]TJ/F55 9.9626 Tf 5.639 0 Td [(T)]TJ/F86 7.8896 Tf 6.545 4.114 Td [(\000)]TJ/F57 7.5716 Tf 6.228 0 Td [(1)]TJ/F55 9.9626 Tf 4.607 -4.114 Td [(D)-52(x)]TJ/F88 10.3811 Tf 15.536 0 Td [(+)]TJ/F63 9.9626 Tf 10.505 0 Td [(b)]TJ/F55 9.9626 Tf 5.649 0 Td [(y)]TJ -90.495 -16.09 Td [(y)]TJ/F86 10.3811 Tf 15.193 0 Td [(\040)]TJ/F63 9.9626 Tf 20.593 0 Td [(a)]TJ/F55 9.9626 Tf 5.639 0 Td [(T)]TJ/F86 7.8896 Tf 6.545 4.114 Td [(\000)]TJ/F55 7.5716 Tf 6.421 0 Td [(T)]TJ/F55 9.9626 Tf 5.694 -4.114 Td [(x)]TJ/F88 10.3811 Tf 7.267 0 Td [(+)]TJ/F63 9.9626 Tf 10.505 0 Td [(b)]TJ/F55 9.9626 Tf 5.649 0 Td [(y)]TJ -83.506 -16.09 Td [(y)]TJ/F86 10.3811 Tf 15.193 0 Td [(\040)]TJ/F63 9.9626 Tf 20.593 0 Td [(a)]TJ/F55 9.9626 Tf 5.708 0 Td [(D)-48(T)]TJ/F86 7.8896 Tf 14.775 4.114 Td [(\000)]TJ/F55 7.5716 Tf 6.42 0 Td [(T)]TJ/F55 9.9626 Tf 5.695 -4.114 Td [(x)]TJ/F88 10.3811 Tf 7.267 0 Td [(+)]TJ/F63 9.9626 Tf 10.505 0 Td [(b)]TJ/F55 9.9626 Tf 5.649 0 Td [(y)]TJ -91.805 -16.09 Td [(y)]TJ/F86 10.3811 Tf 15.193 0 Td [(\040)]TJ/F63 9.9626 Tf 20.593 0 Td [(a)]TJ/F55 9.9626 Tf 5.639 0 Td [(T)]TJ/F86 7.8896 Tf 6.545 4.114 Td [(\000)]TJ/F55 7.5716 Tf 6.421 0 Td [(T)]TJ/F55 9.9626 Tf 5.724 -4.114 Td [(D)-52(x)]TJ/F88 10.3811 Tf 15.536 0 Td [(+)]TJ/F63 9.9626 Tf 10.505 0 Td [(b)]TJ/F55 9.9626 Tf 5.649 0 Td [(y)]TJ -91.805 -16.091 Td [(y)]TJ/F86 10.3811 Tf 15.193 0 Td [(\040)]TJ/F63 9.9626 Tf 20.593 0 Td [(a)]TJ/F55 9.9626 Tf 5.639 0 Td [(T)]TJ/F86 7.8896 Tf 6.545 4.115 Td [(\000)]TJ/F55 7.5716 Tf 6.61 0 Td [(H)]TJ/F55 9.9626 Tf 6.982 -4.115 Td [(x)]TJ/F88 10.3811 Tf 7.267 0 Td [(+)]TJ/F63 9.9626 Tf 10.505 0 Td [(b)]TJ/F55 9.9626 Tf 5.648 0 Td [(y)]TJ -84.982 -16.09 Td [(y)]TJ/F86 10.3811 Tf 15.193 0 Td [(\040)]TJ/F63 9.9626 Tf 20.593 0 Td [(a)]TJ/F55 9.9626 Tf 5.708 0 Td [(D)-48(T)]TJ/F86 7.8896 Tf 14.775 4.115 Td [(\000)]TJ/F55 7.5716 Tf 6.61 0 Td [(H)]TJ/F55 9.9626 Tf 6.982 -4.115 Td [(x)]TJ/F88 10.3811 Tf 7.267 0 Td [(+)]TJ/F63 9.9626 Tf 10.504 0 Td [(b)]TJ/F55 9.9626 Tf 5.649 0 Td [(y)]TJ -93.281 -16.09 Td [(y)]TJ/F86 10.3811 Tf 15.193 0 Td [(\040)]TJ/F63 9.9626 Tf 20.593 0 Td [(a)]TJ/F55 9.9626 Tf 5.639 0 Td [(T)]TJ/F86 7.8896 Tf 6.545 4.115 Td [(\000)]TJ/F55 7.5716 Tf 6.61 0 Td [(H)]TJ/F55 9.9626 Tf 7.012 -4.115 Td [(D)-52(x)]TJ/F88 10.3811 Tf 15.536 0 Td [(+)]TJ/F63 9.9626 Tf 10.505 0 Td [(b)]TJ/F55 9.9626 Tf 5.648 0 Td [(y)]TJ/F57 9.9626 Tf -201.061 -38.202 Td [(wher)18(e:)]TJ
+/F51 11.9552 Tf 207.803 706.129 Td [(spsm)-250(\227)-250(T)111(riangular)-250(System)-250(Solve)]TJ/F54 9.9626 Tf -57.098 -19.83 Td [(This)-250(subr)18(outine)-250(computes)-250(the)-250(T)90(riangular)-250(System)-250(Solve:)]TJ/F52 9.9626 Tf 122.724 -35.213 Td [(y)]TJ/F83 10.3811 Tf 15.193 0 Td [(\040)]TJ/F60 9.9626 Tf 20.593 0 Td [(a)]TJ/F52 9.9626 Tf 5.639 0 Td [(T)]TJ/F83 7.8896 Tf 6.545 4.115 Td [(\000)]TJ/F54 7.5716 Tf 6.228 0 Td [(1)]TJ/F52 9.9626 Tf 4.577 -4.115 Td [(x)]TJ/F85 10.3811 Tf 7.267 0 Td [(+)]TJ/F60 9.9626 Tf 10.505 0 Td [(b)]TJ/F52 9.9626 Tf 5.649 0 Td [(y)]TJ -82.196 -16.139 Td [(y)]TJ/F83 10.3811 Tf 15.193 0 Td [(\040)]TJ/F60 9.9626 Tf 20.593 0 Td [(a)]TJ/F52 9.9626 Tf 5.708 0 Td [(D)-48(T)]TJ/F83 7.8896 Tf 14.775 4.114 Td [(\000)]TJ/F54 7.5716 Tf 6.227 0 Td [(1)]TJ/F52 9.9626 Tf 4.578 -4.114 Td [(x)]TJ/F85 10.3811 Tf 7.267 0 Td [(+)]TJ/F60 9.9626 Tf 10.505 0 Td [(b)]TJ/F52 9.9626 Tf 5.649 0 Td [(y)]TJ -90.495 -16.139 Td [(y)]TJ/F83 10.3811 Tf 15.193 0 Td [(\040)]TJ/F60 9.9626 Tf 20.593 0 Td [(a)]TJ/F52 9.9626 Tf 5.639 0 Td [(T)]TJ/F83 7.8896 Tf 6.545 4.114 Td [(\000)]TJ/F54 7.5716 Tf 6.228 0 Td [(1)]TJ/F52 9.9626 Tf 4.607 -4.114 Td [(D)-52(x)]TJ/F85 10.3811 Tf 15.536 0 Td [(+)]TJ/F60 9.9626 Tf 10.505 0 Td [(b)]TJ/F52 9.9626 Tf 5.649 0 Td [(y)]TJ -90.495 -16.09 Td [(y)]TJ/F83 10.3811 Tf 15.193 0 Td [(\040)]TJ/F60 9.9626 Tf 20.593 0 Td [(a)]TJ/F52 9.9626 Tf 5.639 0 Td [(T)]TJ/F83 7.8896 Tf 6.545 4.114 Td [(\000)]TJ/F52 7.5716 Tf 6.421 0 Td [(T)]TJ/F52 9.9626 Tf 5.694 -4.114 Td [(x)]TJ/F85 10.3811 Tf 7.267 0 Td [(+)]TJ/F60 9.9626 Tf 10.505 0 Td [(b)]TJ/F52 9.9626 Tf 5.649 0 Td [(y)]TJ -83.506 -16.09 Td [(y)]TJ/F83 10.3811 Tf 15.193 0 Td [(\040)]TJ/F60 9.9626 Tf 20.593 0 Td [(a)]TJ/F52 9.9626 Tf 5.708 0 Td [(D)-48(T)]TJ/F83 7.8896 Tf 14.775 4.114 Td [(\000)]TJ/F52 7.5716 Tf 6.42 0 Td [(T)]TJ/F52 9.9626 Tf 5.695 -4.114 Td [(x)]TJ/F85 10.3811 Tf 7.267 0 Td [(+)]TJ/F60 9.9626 Tf 10.505 0 Td [(b)]TJ/F52 9.9626 Tf 5.649 0 Td [(y)]TJ -91.805 -16.09 Td [(y)]TJ/F83 10.3811 Tf 15.193 0 Td [(\040)]TJ/F60 9.9626 Tf 20.593 0 Td [(a)]TJ/F52 9.9626 Tf 5.639 0 Td [(T)]TJ/F83 7.8896 Tf 6.545 4.114 Td [(\000)]TJ/F52 7.5716 Tf 6.421 0 Td [(T)]TJ/F52 9.9626 Tf 5.724 -4.114 Td [(D)-52(x)]TJ/F85 10.3811 Tf 15.536 0 Td [(+)]TJ/F60 9.9626 Tf 10.505 0 Td [(b)]TJ/F52 9.9626 Tf 5.649 0 Td [(y)]TJ -91.805 -16.091 Td [(y)]TJ/F83 10.3811 Tf 15.193 0 Td [(\040)]TJ/F60 9.9626 Tf 20.593 0 Td [(a)]TJ/F52 9.9626 Tf 5.639 0 Td [(T)]TJ/F83 7.8896 Tf 6.545 4.115 Td [(\000)]TJ/F52 7.5716 Tf 6.61 0 Td [(H)]TJ/F52 9.9626 Tf 6.982 -4.115 Td [(x)]TJ/F85 10.3811 Tf 7.267 0 Td [(+)]TJ/F60 9.9626 Tf 10.505 0 Td [(b)]TJ/F52 9.9626 Tf 5.648 0 Td [(y)]TJ -84.982 -16.09 Td [(y)]TJ/F83 10.3811 Tf 15.193 0 Td [(\040)]TJ/F60 9.9626 Tf 20.593 0 Td [(a)]TJ/F52 9.9626 Tf 5.708 0 Td [(D)-48(T)]TJ/F83 7.8896 Tf 14.775 4.115 Td [(\000)]TJ/F52 7.5716 Tf 6.61 0 Td [(H)]TJ/F52 9.9626 Tf 6.982 -4.115 Td [(x)]TJ/F85 10.3811 Tf 7.267 0 Td [(+)]TJ/F60 9.9626 Tf 10.504 0 Td [(b)]TJ/F52 9.9626 Tf 5.649 0 Td [(y)]TJ -93.281 -16.09 Td [(y)]TJ/F83 10.3811 Tf 15.193 0 Td [(\040)]TJ/F60 9.9626 Tf 20.593 0 Td [(a)]TJ/F52 9.9626 Tf 5.639 0 Td [(T)]TJ/F83 7.8896 Tf 6.545 4.115 Td [(\000)]TJ/F52 7.5716 Tf 6.61 0 Td [(H)]TJ/F52 9.9626 Tf 7.012 -4.115 Td [(D)-52(x)]TJ/F85 10.3811 Tf 15.536 0 Td [(+)]TJ/F60 9.9626 Tf 10.505 0 Td [(b)]TJ/F52 9.9626 Tf 5.648 0 Td [(y)]TJ/F54 9.9626 Tf -201.061 -38.202 Td [(wher)18(e:)]TJ
 0 g 0 G
-/F55 9.9626 Tf -14.65 -21.265 Td [(x)]TJ
+/F52 9.9626 Tf -14.65 -21.265 Td [(x)]TJ
 0 g 0 G
-/F57 9.9626 Tf 10.186 0 Td [(is)-250(the)-250(global)-250(dense)-250(matrix)]TJ/F55 9.9626 Tf 115.61 0 Td [(x)]TJ/F57 7.5716 Tf 5.201 -1.495 Td [(:)-12(,)-13(:)]TJ
+/F54 9.9626 Tf 10.186 0 Td [(is)-250(the)-250(global)-250(dense)-250(matrix)]TJ/F52 9.9626 Tf 115.61 0 Td [(x)]TJ/F54 7.5716 Tf 5.201 -1.495 Td [(:)-12(,)-13(:)]TJ
 0 g 0 G
-/F55 9.9626 Tf -131.167 -20.218 Td [(y)]TJ
+/F52 9.9626 Tf -131.167 -20.218 Td [(y)]TJ
 0 g 0 G
-/F57 9.9626 Tf 10.087 0 Td [(is)-250(the)-250(global)-250(dense)-250(matrix)]TJ/F55 9.9626 Tf 115.441 0 Td [(y)]TJ/F57 7.5716 Tf 5.201 -1.494 Td [(:)-12(,)-13(:)]TJ
+/F54 9.9626 Tf 10.087 0 Td [(is)-250(the)-250(global)-250(dense)-250(matrix)]TJ/F52 9.9626 Tf 115.441 0 Td [(y)]TJ/F54 7.5716 Tf 5.201 -1.494 Td [(:)-12(,)-13(:)]TJ
 0 g 0 G
-/F55 9.9626 Tf -130.599 -20.218 Td [(T)]TJ
+/F52 9.9626 Tf -130.599 -20.218 Td [(T)]TJ
 0 g 0 G
-/F57 9.9626 Tf 11.432 0 Td [(is)-250(the)-250(global)-250(sparse)-250(block)-250(triangular)-250(submatrix)]TJ/F55 9.9626 Tf 206.797 0 Td [(T)]TJ
+/F54 9.9626 Tf 11.432 0 Td [(is)-250(the)-250(global)-250(sparse)-250(block)-250(triangular)-250(submatrix)]TJ/F52 9.9626 Tf 206.797 0 Td [(T)]TJ
 0 g 0 G
  -218.159 -21.712 Td [(D)]TJ
 0 g 0 G
-/F57 9.9626 Tf 12.956 0 Td [(is)-250(the)-250(scaling)-250(diagonal)-250(matrix.)]TJ
+/F54 9.9626 Tf 12.956 0 Td [(is)-250(the)-250(scaling)-250(diagonal)-250(matrix.)]TJ
 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG
-/F62 9.9626 Tf 6.894 -21.266 Td [(call)]TJ
+/F59 9.9626 Tf 6.894 -21.266 Td [(call)]TJ
 0 g 0 G
  [-525(psb_spsm\050alpha,)-525(t,)-525(x,)-525(beta,)-525(y,)-525(desc_a,)-525(info\051)]TJ
 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG
@@ -12325,42 +12325,42 @@ q
 []0 d 0 J 0.398 w 0 0 m 184.337 0 l S
 Q
 BT
-/F55 9.9626 Tf 236.623 330.871 Td [(T)]TJ/F57 9.9626 Tf 6.451 0 Td [(,)]TJ/F55 9.9626 Tf 5.275 0 Td [(x)]TJ/F57 9.9626 Tf 5.206 0 Td [(,)]TJ/F55 9.9626 Tf 5.106 0 Td [(y)]TJ/F57 9.9626 Tf 5.105 0 Td [(,)]TJ/F55 9.9626 Tf 5.306 0 Td [(D)]TJ/F57 9.9626 Tf 7.975 0 Td [(,)]TJ/F63 9.9626 Tf 5.105 0 Td [(a)]TJ/F57 9.9626 Tf 5.385 0 Td [(,)]TJ/F63 9.9626 Tf 5.355 0 Td [(b)]TJ/F54 9.9626 Tf 64.393 0 Td [(Subroutine)]TJ
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 ET
 q
 1 0 0 1 230.392 327.085 cm
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 Q
 BT
-/F57 9.9626 Tf 236.369 318.517 Td [(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ
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 ET
 q
 1 0 0 1 373.603 318.716 cm
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-/F57 9.9626 Tf 376.592 318.517 Td [(spsm)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ
+/F54 9.9626 Tf 376.592 318.517 Td [(spsm)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ
 ET
 q
 1 0 0 1 373.603 306.761 cm
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 ET
 q
 1 0 0 1 373.603 294.806 cm
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 ET
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 1 0 0 1 373.603 282.851 cm
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 BT
-/F57 9.9626 Tf 376.592 282.652 Td [(spsm)]TJ
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 ET
 q
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@@ -12368,20 +12368,20 @@ q
 Q
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 BT
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 BT
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 ET
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 1 0 0 1 385.864 590.037 cm
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 BT
-/F62 9.9626 Tf 389.002 589.838 Td [(T)]TJ
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 ET
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 1 0 0 1 394.86 590.037 cm
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 Q
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-/F62 9.9626 Tf 397.998 589.838 Td [(vect)]TJ
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 ET
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 1 0 0 1 419.547 590.037 cm
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-/F62 9.9626 Tf 422.685 589.838 Td [(type)]TJ
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 0 0 1 rg 0 0 1 RG
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 ET
 q
 1 0 0 1 385.864 429.186 cm
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 Q
 BT
-/F62 9.9626 Tf 389.002 428.986 Td [(T)]TJ
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 ET
 q
 1 0 0 1 394.86 429.186 cm
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 Q
 BT
-/F62 9.9626 Tf 397.998 428.986 Td [(vect)]TJ
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 ET
 q
 1 0 0 1 419.547 429.186 cm
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-/F62 9.9626 Tf 422.685 428.986 Td [(type)]TJ
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 ET
 q
 1 0 0 1 120.408 384.625 cm
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 BT
-/F54 9.9626 Tf 123.397 384.426 Td [(a)]TJ
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 0 0 1 rg 0 0 1 RG
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 ET
 q
 1 0 0 1 273.363 336.805 cm
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 Q
 BT
-/F62 9.9626 Tf 276.501 336.605 Td [(desc)]TJ
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 ET
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 1 0 0 1 298.05 336.805 cm
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 BT
-/F62 9.9626 Tf 301.189 336.605 Td [(type)]TJ
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 0 g 0 G
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 0 g 0 G
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 0 g 0 G
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 0 g 0 G
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 0 g 0 G
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 0 g 0 G
-/F57 9.9626 Tf 51.417 0 Td [(the)-250(operation)-250(is)-250(with)-250(conjugate)-250(transposed)-250(matrix.)]TJ -51.417 -20.65 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(global)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(optional)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.956 Td [(Default:)]TJ/F55 9.9626 Tf 38.64 0 Td [(t)-15(r)-50(a)-25(n)-25(s)]TJ/F88 10.3811 Tf 25.193 0 Td [(=)]TJ/F55 9.9626 Tf 11.434 0 Td [(N)]TJ/F57 9.9626 Tf -75.267 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(character)-250(variable.)]TJ
+/F54 9.9626 Tf 51.417 0 Td [(the)-250(operation)-250(is)-250(with)-250(conjugate)-250(transposed)-250(matrix.)]TJ -51.417 -20.65 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(global)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(optional)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.956 Td [(Default:)]TJ/F52 9.9626 Tf 38.64 0 Td [(t)-15(r)-50(a)-25(n)-25(s)]TJ/F85 10.3811 Tf 25.193 0 Td [(=)]TJ/F52 9.9626 Tf 11.434 0 Td [(N)]TJ/F54 9.9626 Tf -75.267 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(character)-250(variable.)]TJ
 0 g 0 G
-/F54 9.9626 Tf -24.907 -20.65 Td [(unitd)]TJ
+/F51 9.9626 Tf -24.907 -20.65 Td [(unitd)]TJ
 0 g 0 G
-/F57 9.9626 Tf 29.878 0 Td [(specify)-250(with)]TJ/F55 9.9626 Tf 56.398 0 Td [(trans)]TJ/F57 9.9626 Tf 23.521 0 Td [(the)-250(operation)-250(to)-250(perform.)]TJ
+/F54 9.9626 Tf 29.878 0 Td [(specify)-250(with)]TJ/F52 9.9626 Tf 56.398 0 Td [(trans)]TJ/F54 9.9626 Tf 23.521 0 Td [(the)-250(operation)-250(to)-250(perform.)]TJ
 0 g 0 G
-/F54 9.9626 Tf -84.89 -20.649 Td [(unitd)-250(=)-250('U')]TJ
+/F51 9.9626 Tf -84.89 -20.649 Td [(unitd)-250(=)-250('U')]TJ
 0 g 0 G
-/F57 9.9626 Tf 54.186 0 Td [(the)-250(operation)-250(is)-250(with)-250(no)-250(scaling)]TJ
+/F54 9.9626 Tf 54.186 0 Td [(the)-250(operation)-250(is)-250(with)-250(no)-250(scaling)]TJ
 0 g 0 G
-/F54 9.9626 Tf -54.186 -16.303 Td [(unitd)-250(=)-250('L)74(')]TJ
+/F51 9.9626 Tf -54.186 -16.303 Td [(unitd)-250(=)-250('L)74(')]TJ
 0 g 0 G
-/F57 9.9626 Tf 51.785 0 Td [(the)-250(operation)-250(is)-250(with)-250(left)-250(scaling)]TJ
+/F54 9.9626 Tf 51.785 0 Td [(the)-250(operation)-250(is)-250(with)-250(left)-250(scaling)]TJ
 0 g 0 G
-/F54 9.9626 Tf -51.785 -16.302 Td [(unitd)-250(=)-250('R')]TJ
+/F51 9.9626 Tf -51.785 -16.302 Td [(unitd)-250(=)-250('R')]TJ
 0 g 0 G
-/F57 9.9626 Tf 53.628 0 Td [(the)-250(operation)-250(is)-250(with)-250(right)-250(scaling.)]TJ
+/F54 9.9626 Tf 53.628 0 Td [(the)-250(operation)-250(is)-250(with)-250(right)-250(scaling.)]TJ
 0 g 0 G
  88.34 -29.888 Td [(51)]TJ
 0 g 0 G
@@ -12559,14 +12559,14 @@ stream
 0 g 0 G
 0 g 0 G
 BT
-/F57 9.9626 Tf 175.611 706.129 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(global)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.089 0 Td [(optional)]TJ/F57 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(in)]TJ/F57 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.956 Td [(Default:)]TJ/F55 9.9626 Tf 38.64 0 Td [(u)-25(n)-18(i)-32(t)-25(d)]TJ/F88 10.3811 Tf 26.159 0 Td [(=)]TJ/F55 9.9626 Tf 10.927 0 Td [(U)]TJ/F57 9.9626 Tf -75.726 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(character)-250(variable.)]TJ
+/F54 9.9626 Tf 175.611 706.129 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(global)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(optional)]TJ/F54 9.9626 Tf -27.089 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(in)]TJ/F54 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.956 Td [(Default:)]TJ/F52 9.9626 Tf 38.64 0 Td [(u)-25(n)-18(i)-32(t)-25(d)]TJ/F85 10.3811 Tf 26.159 0 Td [(=)]TJ/F52 9.9626 Tf 10.927 0 Td [(U)]TJ/F54 9.9626 Tf -75.726 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(character)-250(variable.)]TJ
 0 g 0 G
-/F54 9.9626 Tf -24.906 -19.925 Td [(choice)]TJ
+/F51 9.9626 Tf -24.906 -19.925 Td [(choice)]TJ
 0 g 0 G
-/F57 9.9626 Tf 33.753 0 Td [(speci\002es)-250(the)-250(update)-250(of)-250(overlap)-250(elements)-250(to)-250(be)-250(performed)-250(on)-250(exit:)]TJ
+/F54 9.9626 Tf 33.753 0 Td [(speci\002es)-250(the)-250(update)-250(of)-250(overlap)-250(elements)-250(to)-250(be)-250(performed)-250(on)-250(exit:)]TJ
 0 g 0 G
 0 g 0 G
-/F62 9.9626 Tf -3.865 -19.925 Td [(psb_none_)]TJ
+/F59 9.9626 Tf -3.865 -19.925 Td [(psb_none_)]TJ
 0 g 0 G
 0 g 0 G
  0 -15.941 Td [(psb_sum_)]TJ
@@ -12575,34 +12575,34 @@ BT
  0 -15.94 Td [(psb_avg_)]TJ
 0 g 0 G
 0 g 0 G
- 0 -15.94 Td [(psb_square_root_)]TJ/F57 9.9626 Tf -4.982 -19.925 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(global)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.089 0 Td [(optional)]TJ/F57 9.9626 Tf -27.089 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(in)]TJ/F57 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Default:)]TJ/F62 9.9626 Tf 38.515 0 Td [(psb_avg_)]TJ/F57 9.9626 Tf -38.515 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(variable.)]TJ
+ 0 -15.94 Td [(psb_square_root_)]TJ/F54 9.9626 Tf -4.982 -19.925 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(global)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(optional)]TJ/F54 9.9626 Tf -27.089 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(in)]TJ/F54 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Default:)]TJ/F59 9.9626 Tf 38.515 0 Td [(psb_avg_)]TJ/F54 9.9626 Tf -38.515 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(variable.)]TJ
 0 g 0 G
-/F54 9.9626 Tf -24.906 -19.925 Td [(diag)]TJ
+/F51 9.9626 Tf -24.906 -19.925 Td [(diag)]TJ
 0 g 0 G
-/F57 9.9626 Tf 24.906 0 Td [(the)-250(diagonal)-250(scaling)-250(matrix.)]TJ 0 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.956 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(optional)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(in)]TJ/F57 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Default:)]TJ/F55 9.9626 Tf 38.64 0 Td [(d)-18(i)-47(a)-47(g)]TJ/F88 10.3811 Tf 18.52 0 Td [(\050)]TJ/F57 9.9626 Tf 4.15 0 Td [(1)]TJ/F88 10.3811 Tf 5.106 0 Td [(\051)-289(=)]TJ/F57 9.9626 Tf 18.002 0 Td [(1)]TJ/F88 10.3811 Tf 5.106 0 Td [(\050)]TJ/F55 9.9626 Tf 4.274 0 Td [(n)-25(o)-35(s)-25(c)-40(a)-25(l)-48(i)-32(n)-47(g)]TJ/F88 10.3811 Tf 41.384 0 Td [(\051)]TJ/F57 9.9626 Tf -135.182 -11.955 Td [(Speci\002ed)-293(as:)-395(a)-293(rank)-293(one)-293(array)-292(containing)-293(numbers)-293(of)-293(the)-292(type)-293(indicated)]TJ 0 -11.955 Td [(in)-250(T)92(able)]TJ
+/F54 9.9626 Tf 24.906 0 Td [(the)-250(diagonal)-250(scaling)-250(matrix.)]TJ 0 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.956 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(optional)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(in)]TJ/F54 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Default:)]TJ/F52 9.9626 Tf 38.64 0 Td [(d)-18(i)-47(a)-47(g)]TJ/F85 10.3811 Tf 18.52 0 Td [(\050)]TJ/F54 9.9626 Tf 4.15 0 Td [(1)]TJ/F85 10.3811 Tf 5.106 0 Td [(\051)-289(=)]TJ/F54 9.9626 Tf 18.002 0 Td [(1)]TJ/F85 10.3811 Tf 5.106 0 Td [(\050)]TJ/F52 9.9626 Tf 4.274 0 Td [(n)-25(o)-35(s)-25(c)-40(a)-25(l)-48(i)-32(n)-47(g)]TJ/F85 10.3811 Tf 41.384 0 Td [(\051)]TJ/F54 9.9626 Tf -135.182 -11.955 Td [(Speci\002ed)-293(as:)-395(a)-293(rank)-293(one)-293(array)-292(containing)-293(numbers)-293(of)-293(the)-292(type)-293(indicated)]TJ 0 -11.955 Td [(in)-250(T)92(able)]TJ
 0 0 1 rg 0 0 1 RG
  [-250(13)]TJ
 0 g 0 G
  [(.)]TJ
 0 g 0 G
-/F54 9.9626 Tf -24.906 -19.926 Td [(work)]TJ
+/F51 9.9626 Tf -24.906 -19.926 Td [(work)]TJ
 0 g 0 G
-/F57 9.9626 Tf 28.782 0 Td [(a)-250(work)-250(array)111(.)]TJ -3.876 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(optional)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(inout)]TJ/F57 9.9626 Tf 24.348 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-344(as:)-498(a)-344(rank)-343(one)-344(array)-344(of)-344(the)-344(same)-344(type)-344(of)]TJ/F55 9.9626 Tf 229.679 0 Td [(x)]TJ/F57 9.9626 Tf 8.631 0 Td [(with)-344(the)-344(T)74(ARGET)]TJ -238.31 -11.955 Td [(attribute.)]TJ
+/F54 9.9626 Tf 28.782 0 Td [(a)-250(work)-250(array)111(.)]TJ -3.876 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(optional)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(inout)]TJ/F54 9.9626 Tf 24.348 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-344(as:)-498(a)-344(rank)-343(one)-344(array)-344(of)-344(the)-344(same)-344(type)-344(of)]TJ/F52 9.9626 Tf 229.679 0 Td [(x)]TJ/F54 9.9626 Tf 8.631 0 Td [(with)-344(the)-344(T)74(ARGET)]TJ -238.31 -11.955 Td [(attribute.)]TJ
 0 g 0 G
-/F54 9.9626 Tf -24.906 -19.926 Td [(On)-250(Return)]TJ
+/F51 9.9626 Tf -24.906 -19.926 Td [(On)-250(Return)]TJ
 0 g 0 G
 0 g 0 G
  0 -19.925 Td [(y)]TJ
 0 g 0 G
-/F57 9.9626 Tf 10.52 0 Td [(the)-250(local)-250(portion)-250(of)-250(global)-250(dense)-250(matrix)]TJ/F55 9.9626 Tf 175.445 0 Td [(y)]TJ/F57 9.9626 Tf 5.106 0 Td [(.)]TJ -166.165 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(inout)]TJ/F57 9.9626 Tf 24.348 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-379(as:)-568(an)-379(array)-379(of)-379(rank)-379(one)-379(or)-379(two)-379(containing)-379(numbers)-379(of)-379(type)]TJ 0 -11.955 Td [(speci\002ed)-250(in)-250(T)92(able)]TJ
+/F54 9.9626 Tf 10.52 0 Td [(the)-250(local)-250(portion)-250(of)-250(global)-250(dense)-250(matrix)]TJ/F52 9.9626 Tf 175.445 0 Td [(y)]TJ/F54 9.9626 Tf 5.106 0 Td [(.)]TJ -166.165 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(inout)]TJ/F54 9.9626 Tf 24.348 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-379(as:)-568(an)-379(array)-379(of)-379(rank)-379(one)-379(or)-379(two)-379(containing)-379(numbers)-379(of)-379(type)]TJ 0 -11.955 Td [(speci\002ed)-250(in)-250(T)92(able)]TJ
 0 0 1 rg 0 0 1 RG
  [-250(13)]TJ
 0 g 0 G
  [(.)]TJ
 0 g 0 G
-/F54 9.9626 Tf -24.906 -19.925 Td [(info)]TJ
+/F51 9.9626 Tf -24.906 -19.925 Td [(info)]TJ
 0 g 0 G
-/F57 9.9626 Tf 23.8 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.956 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(out)]TJ/F57 9.9626 Tf 14.943 0 Td [(.)]TJ -46.744 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ
+/F54 9.9626 Tf 23.8 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.956 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(out)]TJ/F54 9.9626 Tf 14.943 0 Td [(.)]TJ -46.744 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ
 0 g 0 G
  141.968 -73.723 Td [(52)]TJ
 0 g 0 G
@@ -12618,14 +12618,14 @@ stream
 0 g 0 G
 0 g 0 G
 BT
-/F54 11.9552 Tf 99.895 706.129 Td [(4.14)-1000(psb)]TJ
+/F51 11.9552 Tf 99.895 706.129 Td [(4.14)-1000(psb)]TJ
 ET
 q
 1 0 0 1 153.407 706.328 cm
 []0 d 0 J 0.398 w 0 0 m 3.587 0 l S
 Q
 BT
-/F54 11.9552 Tf 156.993 706.129 Td [(gemlt)-250(\227)-250(Entrywise)-250(Product)]TJ/F57 9.9626 Tf -57.098 -18.964 Td [(This)-250(function)-250(computes)-250(the)-250(entrywise)-250(pr)18(oduct)-250(between)-250(two)-250(vectors)]TJ/F55 9.9626 Tf 299.677 0 Td [(x)]TJ/F57 9.9626 Tf 7.697 0 Td [(and)]TJ/F55 9.9626 Tf 19.481 0 Td [(y)]TJ -187.918 -21.112 Td [(d)-25(o)-35(t)]TJ/F86 10.3811 Tf 16.336 0 Td [(\040)]TJ/F55 9.9626 Tf 13.567 0 Td [(x)]TJ/F88 10.3811 Tf 5.33 0 Td [(\050)]TJ/F55 9.9626 Tf 4.204 0 Td [(i)]TJ/F88 10.3811 Tf 3.088 0 Td [(\051)]TJ/F55 9.9626 Tf 4.274 0 Td [(y)]TJ/F88 10.3811 Tf 5.231 0 Td [(\050)]TJ/F55 9.9626 Tf 4.204 0 Td [(i)]TJ/F88 10.3811 Tf 3.088 0 Td [(\051)]TJ/F57 9.9626 Tf 4.15 0 Td [(.)]TJ/F62 9.9626 Tf -187.465 -21.111 Td [(psb_gemlt\050x,)-525(y,)-525(desc_a,)-525(info\051)]TJ
+/F51 11.9552 Tf 156.993 706.129 Td [(gemlt)-250(\227)-250(Entrywise)-250(Product)]TJ/F54 9.9626 Tf -57.098 -18.964 Td [(This)-250(function)-250(computes)-250(the)-250(entrywise)-250(pr)18(oduct)-250(between)-250(two)-250(vectors)]TJ/F52 9.9626 Tf 299.677 0 Td [(x)]TJ/F54 9.9626 Tf 7.697 0 Td [(and)]TJ/F52 9.9626 Tf 19.481 0 Td [(y)]TJ -187.918 -21.112 Td [(d)-25(o)-35(t)]TJ/F83 10.3811 Tf 16.336 0 Td [(\040)]TJ/F52 9.9626 Tf 13.567 0 Td [(x)]TJ/F85 10.3811 Tf 5.33 0 Td [(\050)]TJ/F52 9.9626 Tf 4.204 0 Td [(i)]TJ/F85 10.3811 Tf 3.088 0 Td [(\051)]TJ/F52 9.9626 Tf 4.274 0 Td [(y)]TJ/F85 10.3811 Tf 5.231 0 Td [(\050)]TJ/F52 9.9626 Tf 4.204 0 Td [(i)]TJ/F85 10.3811 Tf 3.088 0 Td [(\051)]TJ/F54 9.9626 Tf 4.15 0 Td [(.)]TJ/F59 9.9626 Tf -187.465 -21.111 Td [(psb_gemlt\050x,)-525(y,)-525(desc_a,)-525(info\051)]TJ
 0 g 0 G
 0 g 0 G
 0 g 0 G
@@ -12635,42 +12635,42 @@ q
 []0 d 0 J 0.398 w 0 0 m 177.433 0 l S
 Q
 BT
-/F55 9.9626 Tf 189.137 622.328 Td [(d)-25(o)-35(t)]TJ/F57 9.9626 Tf 13.444 0 Td [(,)]TJ/F55 9.9626 Tf 5.275 0 Td [(x)]TJ/F57 9.9626 Tf 5.206 0 Td [(,)]TJ/F55 9.9626 Tf 5.106 0 Td [(y)]TJ/F54 9.9626 Tf 91.759 0 Td [(Function)]TJ
+/F52 9.9626 Tf 189.137 622.328 Td [(d)-25(o)-35(t)]TJ/F54 9.9626 Tf 13.444 0 Td [(,)]TJ/F52 9.9626 Tf 5.275 0 Td [(x)]TJ/F54 9.9626 Tf 5.206 0 Td [(,)]TJ/F52 9.9626 Tf 5.106 0 Td [(y)]TJ/F51 9.9626 Tf 91.759 0 Td [(Function)]TJ
 ET
 q
 1 0 0 1 183.035 618.542 cm
 []0 d 0 J 0.398 w 0 0 m 177.433 0 l S
 Q
 BT
-/F57 9.9626 Tf 189.012 609.974 Td [(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ
+/F54 9.9626 Tf 189.012 609.974 Td [(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ
 ET
 q
 1 0 0 1 326.246 610.173 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F57 9.9626 Tf 329.235 609.974 Td [(gemlt)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ
+/F54 9.9626 Tf 329.235 609.974 Td [(gemlt)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ
 ET
 q
 1 0 0 1 326.246 598.218 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F57 9.9626 Tf 329.235 598.019 Td [(gemlt)]TJ -140.223 -11.955 Td [(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ
+/F54 9.9626 Tf 329.235 598.019 Td [(gemlt)]TJ -140.223 -11.955 Td [(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ
 ET
 q
 1 0 0 1 326.246 586.263 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F57 9.9626 Tf 329.235 586.064 Td [(gemlt)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ
+/F54 9.9626 Tf 329.235 586.064 Td [(gemlt)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ
 ET
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 1 0 0 1 326.555 616.84 cm
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-/F57 9.9626 Tf 329.544 616.641 Td [(geinv)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ
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 ET
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 1 0 0 1 326.555 604.885 cm
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 ET
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 1 0 0 1 326.555 592.93 cm
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-/F57 9.9626 Tf 329.544 592.731 Td [(geinv)]TJ -140.223 -11.956 Td [(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ
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 ET
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 1 0 0 1 326.555 580.975 cm
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 Q
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-/F57 9.9626 Tf 329.544 580.775 Td [(geinv)]TJ
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 ET
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 1 0 0 1 280.646 434.555 cm
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-/F62 9.9626 Tf 283.785 434.356 Td [(T)]TJ
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 ET
 q
 1 0 0 1 289.642 434.555 cm
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 Q
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-/F62 9.9626 Tf 292.781 434.356 Td [(vect)]TJ
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 ET
 q
 1 0 0 1 314.33 434.555 cm
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-/F62 9.9626 Tf 317.468 434.356 Td [(type)]TJ
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 ET
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 1 0 0 1 120.408 404.108 cm
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 ET
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 1 0 0 1 273.363 356.288 cm
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-/F62 9.9626 Tf 276.501 356.088 Td [(desc)]TJ
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 ET
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 1 0 0 1 298.05 356.288 cm
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-/F62 9.9626 Tf 301.189 356.088 Td [(type)]TJ
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 ET
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 1 0 0 1 280.646 205.171 cm
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 Q
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-/F62 9.9626 Tf 283.785 204.972 Td [(T)]TJ
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 ET
 q
 1 0 0 1 289.642 205.171 cm
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 Q
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-/F62 9.9626 Tf 292.781 204.972 Td [(vect)]TJ
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 ET
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 1 0 0 1 314.33 205.171 cm
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-/F62 9.9626 Tf 317.468 204.972 Td [(type)]TJ
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 1 0 0 1 147.429 706.328 cm
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@@ -13989,49 +13989,49 @@ q
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 1 0 0 1 322.794 575.603 cm
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 ET
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 1 0 0 1 322.794 539.738 cm
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 ET
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 1 0 0 1 322.794 527.783 cm
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-/F57 9.9626 Tf 325.783 527.583 Td [(halo)]TJ
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 Q
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 ET
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 1 0 0 1 394.86 348.823 cm
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 1 0 0 1 419.547 348.823 cm
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 ET
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 1 0 0 1 309.258 268.738 cm
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 ET
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 BT
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+/F54 8.9664 Tf 209.77 645.656 Td [(Pr)18(ocess)-250(0)-7729(Pr)18(ocess)-250(1)]TJ -31.696 -10.959 Td [(I)-1333(GLOB\050I\051)-1334(X\050I\051)-4663(I)-1333(GLOB\050I\051)-1333(X\050I\051)]TJ -1.462 -10.959 Td [(1)-4607(1)-1754(1.0)-4500(1)-4107(33)-1753(2.0)]TJ 0 -10.959 Td [(2)-4607(2)-1754(1.0)-4500(2)-4107(34)-1753(2.0)]TJ 0 -10.959 Td [(3)-4607(3)-1754(1.0)-4500(3)-4107(35)-1753(2.0)]TJ 0 -10.959 Td [(4)-4607(4)-1754(1.0)-4500(4)-4107(36)-1753(2.0)]TJ 0 -10.959 Td [(5)-4607(5)-1754(1.0)-4500(5)-4107(37)-1753(2.0)]TJ 0 -10.959 Td [(6)-4607(6)-1754(1.0)-4500(6)-4107(38)-1753(2.0)]TJ 0 -10.959 Td [(7)-4607(7)-1754(1.0)-4500(7)-4107(39)-1753(2.0)]TJ 0 -10.958 Td [(8)-4607(8)-1754(1.0)-4500(8)-4107(40)-1753(2.0)]TJ 0 -10.959 Td [(9)-4607(9)-1754(1.0)-4500(9)-4107(41)-1753(2.0)]TJ -4.483 -10.959 Td [(10)-4107(10)-1754(1.0)-4000(10)-4107(42)-1753(2.0)]TJ 0 -10.959 Td [(11)-4107(11)-1754(1.0)-4000(11)-4107(43)-1753(2.0)]TJ 0 -10.959 Td [(12)-4107(12)-1754(1.0)-4000(12)-4107(44)-1753(2.0)]TJ 0 -10.959 Td [(13)-4107(13)-1754(1.0)-4000(13)-4107(45)-1753(2.0)]TJ 0 -10.959 Td [(14)-4107(14)-1754(1.0)-4000(14)-4107(46)-1753(2.0)]TJ 0 -10.959 Td [(15)-4107(15)-1754(1.0)-4000(15)-4107(47)-1753(2.0)]TJ 0 -10.959 Td [(16)-4107(16)-1754(1.0)-4000(16)-4107(48)-1753(2.0)]TJ 0 -10.959 Td [(17)-4107(17)-1754(1.0)-4000(17)-4107(49)-1753(2.0)]TJ 0 -10.958 Td [(18)-4107(18)-1754(1.0)-4000(18)-4107(50)-1753(2.0)]TJ 0 -10.959 Td [(19)-4107(19)-1754(1.0)-4000(19)-4107(51)-1753(2.0)]TJ 0 -10.959 Td [(20)-4107(20)-1754(1.0)-4000(20)-4107(52)-1753(2.0)]TJ 0 -10.959 Td [(21)-4107(21)-1754(1.0)-4000(21)-4107(53)-1753(2.0)]TJ 0 -10.959 Td [(22)-4107(22)-1754(1.0)-4000(22)-4107(54)-1753(2.0)]TJ 0 -10.959 Td [(23)-4107(23)-1754(1.0)-4000(23)-4107(55)-1753(2.0)]TJ 0 -10.959 Td [(24)-4107(24)-1754(1.0)-4000(24)-4107(56)-1753(2.0)]TJ 0 -10.959 Td [(25)-4107(25)-1754(1.0)-4000(25)-4107(57)-1753(2.0)]TJ 0 -10.959 Td [(26)-4107(26)-1754(1.0)-4000(26)-4107(58)-1753(2.0)]TJ 0 -10.959 Td [(27)-4107(27)-1754(1.0)-4000(27)-4107(59)-1753(2.0)]TJ 0 -10.958 Td [(28)-4107(28)-1754(1.0)-4000(28)-4107(60)-1753(2.0)]TJ 0 -10.959 Td [(29)-4107(29)-1754(1.0)-4000(29)-4107(61)-1753(2.0)]TJ 0 -10.959 Td [(30)-4107(30)-1754(1.0)-4000(30)-4107(62)-1753(2.0)]TJ 0 -10.959 Td [(31)-4107(31)-1754(1.0)-4000(31)-4107(63)-1753(2.0)]TJ 0 -10.959 Td [(32)-4107(32)-1754(1.0)-4000(32)-4107(64)-1753(2.0)]TJ 0 -10.959 Td [(33)-4107(33)-1754(2.0)-4000(33)-4107(25)-1753(1.0)]TJ 0 -10.959 Td [(34)-4107(34)-1754(2.0)-4000(34)-4107(26)-1753(1.0)]TJ 0 -10.959 Td [(35)-4107(35)-1754(2.0)-4000(35)-4107(27)-1753(1.0)]TJ 0 -10.959 Td [(36)-4107(36)-1754(2.0)-4000(36)-4107(28)-1753(1.0)]TJ 0 -10.959 Td [(37)-4107(37)-1754(2.0)-4000(37)-4107(29)-1753(1.0)]TJ 0 -10.958 Td [(38)-4107(38)-1754(2.0)-4000(38)-4107(30)-1753(1.0)]TJ 0 -10.959 Td [(39)-4107(39)-1754(2.0)-4000(39)-4107(31)-1753(1.0)]TJ 0 -10.959 Td [(40)-4107(40)-1754(2.0)-4000(40)-4107(32)-1753(1.0)]TJ
 0 g 0 G
 0 g 0 G
-/F57 9.9626 Tf 94.641 -105.903 Td [(61)]TJ
+/F54 9.9626 Tf 94.641 -105.903 Td [(61)]TJ
 0 g 0 G
 ET
 
@@ -14376,22 +14376,22 @@ stream
 0 g 0 G
 0 g 0 G
 BT
-/F54 11.9552 Tf 150.705 706.129 Td [(5.2)-1000(psb)]TJ
+/F51 11.9552 Tf 150.705 706.129 Td [(5.2)-1000(psb)]TJ
 ET
 q
 1 0 0 1 198.238 706.328 cm
 []0 d 0 J 0.398 w 0 0 m 3.587 0 l S
 Q
 BT
-/F54 11.9552 Tf 201.825 706.129 Td [(ovrl)-250(\227)-250(Overlap)-250(Update)]TJ/F57 9.9626 Tf -51.12 -18.964 Td [(These)-250(subr)18(outines)-250(applies)-250(an)-250(overlap)-250(operator)-250(to)-250(the)-250(input)-250(vector:)]TJ/F55 9.9626 Tf 154.518 -23.824 Td [(x)]TJ/F86 10.3811 Tf 8.097 0 Td [(\040)]TJ/F55 9.9626 Tf 13.497 0 Td [(Q)-42(x)]TJ/F57 9.9626 Tf -176.112 -21.014 Td [(wher)18(e:)]TJ
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 0 g 0 G
-/F55 9.9626 Tf 0.294 -19.203 Td [(x)]TJ
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 0 g 0 G
-/F57 9.9626 Tf 10.186 0 Td [(is)-250(the)-250(global)-250(dense)-250(submatrix)]TJ/F55 9.9626 Tf 131.351 0 Td [(x)]TJ
+/F54 9.9626 Tf 10.186 0 Td [(is)-250(the)-250(global)-250(dense)-250(submatrix)]TJ/F52 9.9626 Tf 131.351 0 Td [(x)]TJ
 0 g 0 G
  -141.607 -19.564 Td [(Q)]TJ
 0 g 0 G
-/F57 9.9626 Tf 12.857 0 Td [(is)-250(the)-250(overlap)-250(operator;)-250(it)-250(is)-250(the)-250(composition)-250(of)-250(two)-250(operators)]TJ/F55 9.9626 Tf 271.931 0 Td [(P)]TJ/F55 7.5716 Tf 5.424 -1.494 Td [(a)]TJ/F57 9.9626 Tf 6.445 1.494 Td [(and)]TJ/F55 9.9626 Tf 19.681 0 Td [(P)]TJ/F55 7.5716 Tf 6.405 3.616 Td [(T)]TJ/F57 9.9626 Tf 5.401 -3.616 Td [(.)]TJ
+/F54 9.9626 Tf 12.857 0 Td [(is)-250(the)-250(overlap)-250(operator;)-250(it)-250(is)-250(the)-250(composition)-250(of)-250(two)-250(operators)]TJ/F52 9.9626 Tf 271.931 0 Td [(P)]TJ/F52 7.5716 Tf 5.424 -1.494 Td [(a)]TJ/F54 9.9626 Tf 6.445 1.494 Td [(and)]TJ/F52 9.9626 Tf 19.681 0 Td [(P)]TJ/F52 7.5716 Tf 6.405 3.616 Td [(T)]TJ/F54 9.9626 Tf 5.401 -3.616 Td [(.)]TJ
 0 g 0 G
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@@ -14401,42 +14401,42 @@ q
 []0 d 0 J 0.398 w 0 0 m 184.337 0 l S
 Q
 BT
-/F55 9.9626 Tf 236.663 573.142 Td [(x)]TJ/F54 9.9626 Tf 120.622 0 Td [(Subroutine)]TJ
+/F52 9.9626 Tf 236.663 573.142 Td [(x)]TJ/F51 9.9626 Tf 120.622 0 Td [(Subroutine)]TJ
 ET
 q
 1 0 0 1 230.392 569.356 cm
 []0 d 0 J 0.398 w 0 0 m 184.337 0 l S
 Q
 BT
-/F57 9.9626 Tf 236.369 560.788 Td [(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ
+/F54 9.9626 Tf 236.369 560.788 Td [(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ
 ET
 q
 1 0 0 1 373.603 560.988 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F57 9.9626 Tf 376.592 560.788 Td [(ovrl)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ
+/F54 9.9626 Tf 376.592 560.788 Td [(ovrl)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ
 ET
 q
 1 0 0 1 373.603 549.032 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F57 9.9626 Tf 376.592 548.833 Td [(ovrl)]TJ -140.223 -11.955 Td [(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ
+/F54 9.9626 Tf 376.592 548.833 Td [(ovrl)]TJ -140.223 -11.955 Td [(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ
 ET
 q
 1 0 0 1 373.603 537.077 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F57 9.9626 Tf 376.592 536.878 Td [(ovrl)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ
+/F54 9.9626 Tf 376.592 536.878 Td [(ovrl)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ
 ET
 q
 1 0 0 1 373.603 525.122 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F57 9.9626 Tf 376.592 524.923 Td [(ovrl)]TJ
+/F54 9.9626 Tf 376.592 524.923 Td [(ovrl)]TJ
 ET
 q
 1 0 0 1 230.392 521.137 cm
@@ -14444,11 +14444,11 @@ q
 Q
 0 g 0 G
 BT
-/F57 9.9626 Tf 278.277 492.758 Td [(T)92(able)-250(18:)-310(Data)-250(types)]TJ
+/F54 9.9626 Tf 278.277 492.758 Td [(T)92(able)-250(18:)-310(Data)-250(types)]TJ
 0 g 0 G
 0 g 0 G
 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG
-/F62 9.9626 Tf -127.572 -23.549 Td [(call)]TJ
+/F59 9.9626 Tf -127.572 -23.549 Td [(call)]TJ
 0 g 0 G
  [-525(psb_ovrl\050x,)-525(desc_a,)-525(info\051)]TJ
 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG
@@ -14464,87 +14464,87 @@ BT
 0 g 0 G
  [(work\051)]TJ
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+/F51 9.9626 Tf 0 -21.014 Td [(T)90(ype:)]TJ
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-/F57 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ
+/F54 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ
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 0 g 0 G
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  0 -19.564 Td [(x)]TJ
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 0 0 1 rg 0 0 1 RG
-/F62 9.9626 Tf 244.742 0 Td [(psb)]TJ
+/F59 9.9626 Tf 244.742 0 Td [(psb)]TJ
 ET
 q
 1 0 0 1 436.673 349.49 cm
 []0 d 0 J 0.398 w 0 0 m 3.138 0 l S
 Q
 BT
-/F62 9.9626 Tf 439.811 349.291 Td [(T)]TJ
+/F59 9.9626 Tf 439.811 349.291 Td [(T)]TJ
 ET
 q
 1 0 0 1 445.669 349.49 cm
 []0 d 0 J 0.398 w 0 0 m 3.138 0 l S
 Q
 BT
-/F62 9.9626 Tf 448.807 349.291 Td [(vect)]TJ
+/F59 9.9626 Tf 448.807 349.291 Td [(vect)]TJ
 ET
 q
 1 0 0 1 470.356 349.49 cm
 []0 d 0 J 0.398 w 0 0 m 3.138 0 l S
 Q
 BT
-/F62 9.9626 Tf 473.495 349.291 Td [(type)]TJ
+/F59 9.9626 Tf 473.495 349.291 Td [(type)]TJ
 0 g 0 G
-/F57 9.9626 Tf -297.884 -11.955 Td [(containing)-250(numbers)-250(of)-250(type)-250(speci\002ed)-250(in)-250(T)92(able)]TJ
+/F54 9.9626 Tf -297.884 -11.955 Td [(containing)-250(numbers)-250(of)-250(type)-250(speci\002ed)-250(in)-250(T)92(able)]TJ
 0 0 1 rg 0 0 1 RG
  [-250(18)]TJ
 0 g 0 G
  [(.)]TJ
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-/F54 9.9626 Tf -24.906 -19.564 Td [(desc)]TJ
+/F51 9.9626 Tf -24.906 -19.564 Td [(desc)]TJ
 ET
 q
 1 0 0 1 171.218 317.971 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F54 9.9626 Tf 174.207 317.772 Td [(a)]TJ
+/F51 9.9626 Tf 174.207 317.772 Td [(a)]TJ
 0 g 0 G
-/F57 9.9626 Tf 9.962 0 Td [(contains)-250(data)-250(str)8(uctur)18(es)-250(for)-250(communications.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.089 0 Td [(required)]TJ/F57 9.9626 Tf -27.089 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(in)]TJ/F57 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ
+/F54 9.9626 Tf 9.962 0 Td [(contains)-250(data)-250(str)8(uctur)18(es)-250(for)-250(communications.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(required)]TJ/F54 9.9626 Tf -27.089 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(in)]TJ/F54 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ
 0 0 1 rg 0 0 1 RG
-/F62 9.9626 Tf 168.138 0 Td [(psb)]TJ
+/F59 9.9626 Tf 168.138 0 Td [(psb)]TJ
 ET
 q
 1 0 0 1 360.068 270.151 cm
 []0 d 0 J 0.398 w 0 0 m 3.138 0 l S
 Q
 BT
-/F62 9.9626 Tf 363.206 269.951 Td [(desc)]TJ
+/F59 9.9626 Tf 363.206 269.951 Td [(desc)]TJ
 ET
 q
 1 0 0 1 384.755 270.151 cm
 []0 d 0 J 0.398 w 0 0 m 3.138 0 l S
 Q
 BT
-/F62 9.9626 Tf 387.893 269.951 Td [(type)]TJ
+/F59 9.9626 Tf 387.893 269.951 Td [(type)]TJ
 0 g 0 G
-/F57 9.9626 Tf 20.922 0 Td [(.)]TJ
+/F54 9.9626 Tf 20.922 0 Td [(.)]TJ
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 0 g 0 G
 BT
-/F57 7.9701 Tf 265.805 653.177 Td [(Pr)18(ocess)-250(0)-8396(Pr)18(ocess)-250(1)]TJ -31.163 -9.464 Td [(I)-1500(GLOB\050I\051)-1500(X\050I\051)-5163(I)-1500(GLOB\050I\051)-1500(X\050I\051)]TJ -1.299 -9.465 Td [(1)-4774(1)-1920(1.0)-5000(1)-4274(33)-1920(1.5)]TJ 0 -9.464 Td [(2)-4774(2)-1920(1.0)-5000(2)-4274(34)-1920(1.5)]TJ 0 -9.465 Td [(3)-4774(3)-1920(1.0)-5000(3)-4274(35)-1920(1.5)]TJ 0 -9.464 Td [(4)-4774(4)-1920(1.0)-5000(4)-4274(36)-1920(1.5)]TJ 0 -9.465 Td [(5)-4774(5)-1920(1.0)-5000(5)-4274(37)-1920(1.5)]TJ 0 -9.464 Td [(6)-4774(6)-1920(1.0)-5000(6)-4274(38)-1920(1.5)]TJ 0 -9.465 Td [(7)-4774(7)-1920(1.0)-5000(7)-4274(39)-1920(1.5)]TJ 0 -9.464 Td [(8)-4774(8)-1920(1.0)-5000(8)-4274(40)-1920(1.5)]TJ 0 -9.465 Td [(9)-4774(9)-1920(1.0)-5000(9)-4274(41)-1920(2.0)]TJ -3.985 -9.464 Td [(10)-4274(10)-1920(1.0)-4500(10)-4274(42)-1920(2.0)]TJ 0 -9.465 Td [(11)-4274(11)-1920(1.0)-4500(11)-4274(43)-1920(2.0)]TJ 0 -9.464 Td [(12)-4274(12)-1920(1.0)-4500(12)-4274(44)-1920(2.0)]TJ 0 -9.465 Td [(13)-4274(13)-1920(1.0)-4500(13)-4274(45)-1920(2.0)]TJ 0 -9.464 Td [(14)-4274(14)-1920(1.0)-4500(14)-4274(46)-1920(2.0)]TJ 0 -9.465 Td [(15)-4274(15)-1920(1.0)-4500(15)-4274(47)-1920(2.0)]TJ 0 -9.464 Td [(16)-4274(16)-1920(1.0)-4500(16)-4274(48)-1920(2.0)]TJ 0 -9.465 Td [(17)-4274(17)-1920(1.0)-4500(17)-4274(49)-1920(2.0)]TJ 0 -9.464 Td [(18)-4274(18)-1920(1.0)-4500(18)-4274(50)-1920(2.0)]TJ 0 -9.465 Td [(19)-4274(19)-1920(1.0)-4500(19)-4274(51)-1920(2.0)]TJ 0 -9.464 Td [(20)-4274(20)-1920(1.0)-4500(20)-4274(52)-1920(2.0)]TJ 0 -9.465 Td [(21)-4274(21)-1920(1.0)-4500(21)-4274(53)-1920(2.0)]TJ 0 -9.464 Td [(22)-4274(22)-1920(1.0)-4500(22)-4274(54)-1920(2.0)]TJ 0 -9.465 Td [(23)-4274(23)-1920(1.0)-4500(23)-4274(55)-1920(2.0)]TJ 0 -9.464 Td [(24)-4274(24)-1920(1.0)-4500(24)-4274(56)-1920(2.0)]TJ 0 -9.465 Td [(25)-4274(25)-1920(1.5)-4500(25)-4274(57)-1920(2.0)]TJ 0 -9.464 Td [(26)-4274(26)-1920(1.5)-4500(26)-4274(58)-1920(2.0)]TJ 0 -9.465 Td [(27)-4274(27)-1920(1.5)-4500(27)-4274(59)-1920(2.0)]TJ 0 -9.464 Td [(28)-4274(28)-1920(1.5)-4500(28)-4274(60)-1920(2.0)]TJ 0 -9.465 Td [(29)-4274(29)-1920(1.5)-4500(29)-4274(61)-1920(2.0)]TJ 0 -9.464 Td [(30)-4274(30)-1920(1.5)-4500(30)-4274(62)-1920(2.0)]TJ 0 -9.465 Td [(31)-4274(31)-1920(1.5)-4500(31)-4274(63)-1920(2.0)]TJ 0 -9.464 Td [(32)-4274(32)-1920(1.5)-4500(32)-4274(64)-1920(2.0)]TJ 0 -9.465 Td [(33)-4274(33)-1920(1.5)-4500(33)-4274(25)-1920(1.5)]TJ 0 -9.464 Td [(34)-4274(34)-1920(1.5)-4500(34)-4274(26)-1920(1.5)]TJ 0 -9.465 Td [(35)-4274(35)-1920(1.5)-4500(35)-4274(27)-1920(1.5)]TJ 0 -9.464 Td [(36)-4274(36)-1920(1.5)-4500(36)-4274(28)-1920(1.5)]TJ 0 -9.465 Td [(37)-4274(37)-1920(1.5)-4500(37)-4274(29)-1920(1.5)]TJ 0 -9.464 Td [(38)-4274(38)-1920(1.5)-4500(38)-4274(30)-1920(1.5)]TJ 0 -9.465 Td [(39)-4274(39)-1920(1.5)-4500(39)-4274(31)-1920(1.5)]TJ 0 -9.464 Td [(40)-4274(40)-1920(1.5)-4500(40)-4274(32)-1920(1.5)]TJ 0 -9.465 Td [(41)-4274(41)-1920(2.0)-4500(41)-4274(17)-1920(1.0)]TJ 0 -9.464 Td [(42)-4274(42)-1920(2.0)-4500(42)-4274(18)-1920(1.0)]TJ 0 -9.465 Td [(43)-4274(43)-1920(2.0)-4500(43)-4274(19)-1920(1.0)]TJ 0 -9.464 Td [(44)-4274(44)-1920(2.0)-4500(44)-4274(20)-1920(1.0)]TJ 0 -9.465 Td [(45)-4274(45)-1920(2.0)-4500(45)-4274(21)-1920(1.0)]TJ 0 -9.464 Td [(46)-4274(46)-1920(2.0)-4500(46)-4274(22)-1920(1.0)]TJ 0 -9.465 Td [(47)-4274(47)-1920(2.0)-4500(47)-4274(23)-1920(1.0)]TJ 0 -9.464 Td [(48)-4274(48)-1920(2.0)-4500(48)-4274(24)-1920(1.0)]TJ
+/F54 7.9701 Tf 265.805 653.177 Td [(Pr)18(ocess)-250(0)-8396(Pr)18(ocess)-250(1)]TJ -31.163 -9.464 Td [(I)-1500(GLOB\050I\051)-1500(X\050I\051)-5163(I)-1500(GLOB\050I\051)-1500(X\050I\051)]TJ -1.299 -9.465 Td [(1)-4774(1)-1920(1.0)-5000(1)-4274(33)-1920(1.5)]TJ 0 -9.464 Td [(2)-4774(2)-1920(1.0)-5000(2)-4274(34)-1920(1.5)]TJ 0 -9.465 Td [(3)-4774(3)-1920(1.0)-5000(3)-4274(35)-1920(1.5)]TJ 0 -9.464 Td [(4)-4774(4)-1920(1.0)-5000(4)-4274(36)-1920(1.5)]TJ 0 -9.465 Td [(5)-4774(5)-1920(1.0)-5000(5)-4274(37)-1920(1.5)]TJ 0 -9.464 Td [(6)-4774(6)-1920(1.0)-5000(6)-4274(38)-1920(1.5)]TJ 0 -9.465 Td [(7)-4774(7)-1920(1.0)-5000(7)-4274(39)-1920(1.5)]TJ 0 -9.464 Td [(8)-4774(8)-1920(1.0)-5000(8)-4274(40)-1920(1.5)]TJ 0 -9.465 Td [(9)-4774(9)-1920(1.0)-5000(9)-4274(41)-1920(2.0)]TJ -3.985 -9.464 Td [(10)-4274(10)-1920(1.0)-4500(10)-4274(42)-1920(2.0)]TJ 0 -9.465 Td [(11)-4274(11)-1920(1.0)-4500(11)-4274(43)-1920(2.0)]TJ 0 -9.464 Td [(12)-4274(12)-1920(1.0)-4500(12)-4274(44)-1920(2.0)]TJ 0 -9.465 Td [(13)-4274(13)-1920(1.0)-4500(13)-4274(45)-1920(2.0)]TJ 0 -9.464 Td [(14)-4274(14)-1920(1.0)-4500(14)-4274(46)-1920(2.0)]TJ 0 -9.465 Td [(15)-4274(15)-1920(1.0)-4500(15)-4274(47)-1920(2.0)]TJ 0 -9.464 Td [(16)-4274(16)-1920(1.0)-4500(16)-4274(48)-1920(2.0)]TJ 0 -9.465 Td [(17)-4274(17)-1920(1.0)-4500(17)-4274(49)-1920(2.0)]TJ 0 -9.464 Td [(18)-4274(18)-1920(1.0)-4500(18)-4274(50)-1920(2.0)]TJ 0 -9.465 Td [(19)-4274(19)-1920(1.0)-4500(19)-4274(51)-1920(2.0)]TJ 0 -9.464 Td [(20)-4274(20)-1920(1.0)-4500(20)-4274(52)-1920(2.0)]TJ 0 -9.465 Td [(21)-4274(21)-1920(1.0)-4500(21)-4274(53)-1920(2.0)]TJ 0 -9.464 Td [(22)-4274(22)-1920(1.0)-4500(22)-4274(54)-1920(2.0)]TJ 0 -9.465 Td [(23)-4274(23)-1920(1.0)-4500(23)-4274(55)-1920(2.0)]TJ 0 -9.464 Td [(24)-4274(24)-1920(1.0)-4500(24)-4274(56)-1920(2.0)]TJ 0 -9.465 Td [(25)-4274(25)-1920(1.5)-4500(25)-4274(57)-1920(2.0)]TJ 0 -9.464 Td [(26)-4274(26)-1920(1.5)-4500(26)-4274(58)-1920(2.0)]TJ 0 -9.465 Td [(27)-4274(27)-1920(1.5)-4500(27)-4274(59)-1920(2.0)]TJ 0 -9.464 Td [(28)-4274(28)-1920(1.5)-4500(28)-4274(60)-1920(2.0)]TJ 0 -9.465 Td [(29)-4274(29)-1920(1.5)-4500(29)-4274(61)-1920(2.0)]TJ 0 -9.464 Td [(30)-4274(30)-1920(1.5)-4500(30)-4274(62)-1920(2.0)]TJ 0 -9.465 Td [(31)-4274(31)-1920(1.5)-4500(31)-4274(63)-1920(2.0)]TJ 0 -9.464 Td [(32)-4274(32)-1920(1.5)-4500(32)-4274(64)-1920(2.0)]TJ 0 -9.465 Td [(33)-4274(33)-1920(1.5)-4500(33)-4274(25)-1920(1.5)]TJ 0 -9.464 Td [(34)-4274(34)-1920(1.5)-4500(34)-4274(26)-1920(1.5)]TJ 0 -9.465 Td [(35)-4274(35)-1920(1.5)-4500(35)-4274(27)-1920(1.5)]TJ 0 -9.464 Td [(36)-4274(36)-1920(1.5)-4500(36)-4274(28)-1920(1.5)]TJ 0 -9.465 Td [(37)-4274(37)-1920(1.5)-4500(37)-4274(29)-1920(1.5)]TJ 0 -9.464 Td [(38)-4274(38)-1920(1.5)-4500(38)-4274(30)-1920(1.5)]TJ 0 -9.465 Td [(39)-4274(39)-1920(1.5)-4500(39)-4274(31)-1920(1.5)]TJ 0 -9.464 Td [(40)-4274(40)-1920(1.5)-4500(40)-4274(32)-1920(1.5)]TJ 0 -9.465 Td [(41)-4274(41)-1920(2.0)-4500(41)-4274(17)-1920(1.0)]TJ 0 -9.464 Td [(42)-4274(42)-1920(2.0)-4500(42)-4274(18)-1920(1.0)]TJ 0 -9.465 Td [(43)-4274(43)-1920(2.0)-4500(43)-4274(19)-1920(1.0)]TJ 0 -9.464 Td [(44)-4274(44)-1920(2.0)-4500(44)-4274(20)-1920(1.0)]TJ 0 -9.465 Td [(45)-4274(45)-1920(2.0)-4500(45)-4274(21)-1920(1.0)]TJ 0 -9.464 Td [(46)-4274(46)-1920(2.0)-4500(46)-4274(22)-1920(1.0)]TJ 0 -9.465 Td [(47)-4274(47)-1920(2.0)-4500(47)-4274(23)-1920(1.0)]TJ 0 -9.464 Td [(48)-4274(48)-1920(2.0)-4500(48)-4274(24)-1920(1.0)]TJ
 0 g 0 G
 0 g 0 G
-/F57 9.9626 Tf 88.221 -98.979 Td [(64)]TJ
+/F54 9.9626 Tf 88.221 -98.979 Td [(64)]TJ
 0 g 0 G
 ET
 
@@ -14710,7 +14710,7 @@ Q
 0 g 0 G
 1 0 0 1 -104.053 -292.88 cm
 BT
-/F57 9.9626 Tf 189.276 261 Td [(Figur)18(e)-250(4:)-310(Sample)-250(discr)18(etization)-250(mesh.)]TJ
+/F54 9.9626 Tf 189.276 261 Td [(Figur)18(e)-250(4:)-310(Sample)-250(discr)18(etization)-250(mesh.)]TJ
 0 g 0 G
 0 g 0 G
 0 g 0 G
@@ -14887,61 +14887,61 @@ stream
 0 g 0 G
 0 g 0 G
 BT
-/F54 11.9552 Tf 150.705 706.129 Td [(5.3)-1000(psb)]TJ
+/F51 11.9552 Tf 150.705 706.129 Td [(5.3)-1000(psb)]TJ
 ET
 q
 1 0 0 1 198.238 706.328 cm
 []0 d 0 J 0.398 w 0 0 m 3.587 0 l S
 Q
 BT
-/F54 11.9552 Tf 201.825 706.129 Td [(gather)-250(\227)-250(Gather)-250(Global)-250(Dense)-250(Matrix)]TJ/F57 9.9626 Tf -51.12 -19.441 Td [(These)-280(subr)18(outines)-280(collect)-280(the)-280(portions)-280(of)-280(g)1(lobal)-280(dense)-280(matrix)-280(distributed)-280(over)]TJ 0 -11.955 Td [(all)-250(pr)18(ocess)-250(into)-250(one)-250(single)-250(array)-250(stor)18(ed)-250(on)-250(one)-250(pr)18(ocess.)]TJ/F55 9.9626 Tf 120.161 -25.465 Td [(g)-25(l)-55(o)-35(b)]TJ
+/F51 11.9552 Tf 201.825 706.129 Td [(gather)-250(\227)-250(Gather)-250(Global)-250(Dense)-250(Matrix)]TJ/F54 9.9626 Tf -51.12 -19.441 Td [(These)-280(subr)18(outines)-280(collect)-280(the)-280(portions)-280(of)-280(g)1(lobal)-280(dense)-280(matrix)-280(distributed)-280(over)]TJ 0 -11.955 Td [(all)-250(pr)18(ocess)-250(into)-250(one)-250(single)-250(array)-250(stor)18(ed)-250(on)-250(one)-250(pr)18(ocess.)]TJ/F52 9.9626 Tf 120.161 -25.465 Td [(g)-25(l)-55(o)-35(b)]TJ
 ET
 q
 1 0 0 1 289.521 649.467 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F55 9.9626 Tf 292.803 649.268 Td [(x)]TJ/F86 10.3811 Tf 8.097 0 Td [(\040)]TJ/F55 9.9626 Tf 13.398 0 Td [(c)-25(o)-35(l)-55(l)-55(e)-25(c)-25(t)]TJ/F88 10.3811 Tf 27.705 0 Td [(\050)]TJ/F55 9.9626 Tf 4.274 0 Td [(l)-55(o)-35(c)]TJ
+/F52 9.9626 Tf 292.803 649.268 Td [(x)]TJ/F83 10.3811 Tf 8.097 0 Td [(\040)]TJ/F52 9.9626 Tf 13.398 0 Td [(c)-25(o)-35(l)-55(l)-55(e)-25(c)-25(t)]TJ/F85 10.3811 Tf 27.705 0 Td [(\050)]TJ/F52 9.9626 Tf 4.274 0 Td [(l)-55(o)-35(c)]TJ
 ET
 q
 1 0 0 1 359.144 649.467 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F55 9.9626 Tf 362.427 649.268 Td [(x)]TJ/F55 7.5716 Tf 5.147 -1.96 Td [(i)]TJ/F88 10.3811 Tf 2.875 1.96 Td [(\051)]TJ/F57 9.9626 Tf -219.744 -22.41 Td [(wher)18(e:)]TJ
+/F52 9.9626 Tf 362.427 649.268 Td [(x)]TJ/F52 7.5716 Tf 5.147 -1.96 Td [(i)]TJ/F85 10.3811 Tf 2.875 1.96 Td [(\051)]TJ/F54 9.9626 Tf -219.744 -22.41 Td [(wher)18(e:)]TJ
 0 g 0 G
-/F55 9.9626 Tf 0.344 -20.664 Td [(g)-25(l)-55(o)-35(b)]TJ
+/F52 9.9626 Tf 0.344 -20.664 Td [(g)-25(l)-55(o)-35(b)]TJ
 ET
 q
 1 0 0 1 169.703 606.393 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F55 9.9626 Tf 172.986 606.194 Td [(x)]TJ
+/F52 9.9626 Tf 172.986 606.194 Td [(x)]TJ
 0 g 0 G
-/F57 9.9626 Tf 10.187 0 Td [(is)-250(the)-250(global)-250(submatrix)]TJ/F55 9.9626 Tf 103.256 0 Td [(g)-25(l)-55(o)-35(b)]TJ
+/F54 9.9626 Tf 10.187 0 Td [(is)-250(the)-250(global)-250(submatrix)]TJ/F52 9.9626 Tf 103.256 0 Td [(g)-25(l)-55(o)-35(b)]TJ
 ET
 q
 1 0 0 1 305.084 606.393 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F55 9.9626 Tf 308.366 606.194 Td [(x)]TJ/F57 7.5716 Tf 5.106 -1.858 Td [(1)-13(:)]TJ/F55 7.5716 Tf 5.963 0 Td [(m)]TJ/F57 7.5716 Tf 5.985 0 Td [(,1)-13(:)]TJ/F55 7.5716 Tf 7.856 0 Td [(n)]TJ
+/F52 9.9626 Tf 308.366 606.194 Td [(x)]TJ/F54 7.5716 Tf 5.106 -1.858 Td [(1)-13(:)]TJ/F52 7.5716 Tf 5.963 0 Td [(m)]TJ/F54 7.5716 Tf 5.985 0 Td [(,1)-13(:)]TJ/F52 7.5716 Tf 7.856 0 Td [(n)]TJ
 0 g 0 G
-/F55 9.9626 Tf -182.447 -19.051 Td [(l)-55(o)-35(c)]TJ
+/F52 9.9626 Tf -182.447 -19.051 Td [(l)-55(o)-35(c)]TJ
 ET
 q
 1 0 0 1 163.696 585.484 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F55 9.9626 Tf 166.979 585.285 Td [(x)]TJ/F55 7.5716 Tf 5.147 -1.96 Td [(i)]TJ
+/F52 9.9626 Tf 166.979 585.285 Td [(x)]TJ/F52 7.5716 Tf 5.147 -1.96 Td [(i)]TJ
 0 g 0 G
-/F57 9.9626 Tf 7.732 1.96 Td [(is)-250(the)-250(local)-250(portion)-250(of)-250(global)-250(dense)-250(matrix)-250(on)-250(pr)18(ocess)]TJ/F55 9.9626 Tf 234.034 0 Td [(i)]TJ/F57 9.9626 Tf 2.964 0 Td [(.)]TJ
+/F54 9.9626 Tf 7.732 1.96 Td [(is)-250(the)-250(local)-250(portion)-250(of)-250(global)-250(dense)-250(matrix)-250(on)-250(pr)18(ocess)]TJ/F52 9.9626 Tf 234.034 0 Td [(i)]TJ/F54 9.9626 Tf 2.964 0 Td [(.)]TJ
 0 g 0 G
-/F55 9.9626 Tf -266.027 -20.91 Td [(c)-25(o)-35(l)-55(l)-55(e)-25(c)-25(t)]TJ
+/F52 9.9626 Tf -266.027 -20.91 Td [(c)-25(o)-35(l)-55(l)-55(e)-25(c)-25(t)]TJ
 0 g 0 G
-/F57 9.9626 Tf 32.563 0 Td [(is)-250(the)-250(collect)-250(function.)]TJ
+/F54 9.9626 Tf 32.563 0 Td [(is)-250(the)-250(collect)-250(function.)]TJ
 0 g 0 G
 0 g 0 G
 0 g 0 G
@@ -14951,49 +14951,49 @@ q
 []0 d 0 J 0.398 w 0 0 m 184.337 0 l S
 Q
 BT
-/F55 9.9626 Tf 236.663 534.539 Td [(x)]TJ/F55 7.5716 Tf 5.148 -1.96 Td [(i)]TJ/F57 9.9626 Tf 2.75 1.96 Td [(,)]TJ/F55 9.9626 Tf 4.276 0 Td [(y)]TJ/F54 9.9626 Tf 108.448 0 Td [(Subroutine)]TJ
+/F52 9.9626 Tf 236.663 534.539 Td [(x)]TJ/F52 7.5716 Tf 5.148 -1.96 Td [(i)]TJ/F54 9.9626 Tf 2.75 1.96 Td [(,)]TJ/F52 9.9626 Tf 4.276 0 Td [(y)]TJ/F51 9.9626 Tf 108.448 0 Td [(Subroutine)]TJ
 ET
 q
 1 0 0 1 230.392 530.753 cm
 []0 d 0 J 0.398 w 0 0 m 184.337 0 l S
 Q
 BT
-/F57 9.9626 Tf 236.369 522.185 Td [(Integer)-8983(psb)]TJ
+/F54 9.9626 Tf 236.369 522.185 Td [(Integer)-8983(psb)]TJ
 ET
 q
 1 0 0 1 373.603 522.385 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F57 9.9626 Tf 376.592 522.185 Td [(gather)]TJ -140.223 -11.955 Td [(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ
+/F54 9.9626 Tf 376.592 522.185 Td [(gather)]TJ -140.223 -11.955 Td [(Short)-250(Pr)18(ecision)-250(Real)-3287(psb)]TJ
 ET
 q
 1 0 0 1 373.603 510.429 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F57 9.9626 Tf 376.592 510.23 Td [(gather)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ
+/F54 9.9626 Tf 376.592 510.23 Td [(gather)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Real)-3366(psb)]TJ
 ET
 q
 1 0 0 1 373.603 498.474 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F57 9.9626 Tf 376.592 498.275 Td [(gather)]TJ -140.223 -11.955 Td [(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ
+/F54 9.9626 Tf 376.592 498.275 Td [(gather)]TJ -140.223 -11.955 Td [(Short)-250(Pr)18(ecision)-250(Complex)-1200(psb)]TJ
 ET
 q
 1 0 0 1 373.603 486.519 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F57 9.9626 Tf 376.592 486.32 Td [(gather)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ
+/F54 9.9626 Tf 376.592 486.32 Td [(gather)]TJ -140.223 -11.955 Td [(Long)-250(Pr)18(ecision)-250(Complex)-1279(psb)]TJ
 ET
 q
 1 0 0 1 373.603 474.564 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F57 9.9626 Tf 376.592 474.365 Td [(gather)]TJ
+/F54 9.9626 Tf 376.592 474.365 Td [(gather)]TJ
 ET
 q
 1 0 0 1 230.392 470.579 cm
@@ -15001,11 +15001,11 @@ q
 Q
 0 g 0 G
 BT
-/F57 9.9626 Tf 278.277 442.2 Td [(T)92(able)-250(19:)-310(Data)-250(types)]TJ
+/F54 9.9626 Tf 278.277 442.2 Td [(T)92(able)-250(19:)-310(Data)-250(types)]TJ
 0 g 0 G
 0 g 0 G
 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG
-/F62 9.9626 Tf -127.572 -27.052 Td [(call)]TJ
+/F59 9.9626 Tf -127.572 -27.052 Td [(call)]TJ
 0 g 0 G
  [-525(psb_gather\050glob_x,)-525(loc_x,)-525(desc_a,)-525(info,)-525(root\051)]TJ
 0.00 0.44 0.13 rg 0.00 0.44 0.13 RG
@@ -15013,11 +15013,11 @@ BT
 0 g 0 G
  [-525(psb_gather\050glob_x,)-525(loc_x,)-525(desc_a,)-525(info,)-525(root\051)]TJ
 0 g 0 G
-/F54 9.9626 Tf 0 -22.902 Td [(T)90(ype:)]TJ
+/F51 9.9626 Tf 0 -22.902 Td [(T)90(ype:)]TJ
 0 g 0 G
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-/F54 9.9626 Tf -24.907 -22.127 Td [(On)-250(Return)]TJ
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  0 -20.135 Td [(desc)]TJ
@@ -16245,44 +16245,44 @@ q
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 Q
 BT
-/F54 9.9626 Tf 123.397 376.313 Td [(a)]TJ
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 0 0 1 rg 0 0 1 RG
-/F62 9.9626 Tf 168.138 0 Td [(psb)]TJ
+/F59 9.9626 Tf 168.138 0 Td [(psb)]TJ
 ET
 q
 1 0 0 1 309.258 328.692 cm
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 Q
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-/F62 9.9626 Tf 312.397 328.492 Td [(desc)]TJ
+/F59 9.9626 Tf 312.397 328.492 Td [(desc)]TJ
 ET
 q
 1 0 0 1 333.945 328.692 cm
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 Q
 BT
-/F62 9.9626 Tf 337.084 328.492 Td [(type)]TJ
+/F59 9.9626 Tf 337.084 328.492 Td [(type)]TJ
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-/F57 9.9626 Tf 20.921 0 Td [(.)]TJ
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-/F57 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(out)]TJ/F57 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ/F54 11.9552 Tf -24.907 -22.128 Td [(Notes)]TJ
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 ET
 
@@ -16296,58 +16296,58 @@ stream
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-/F54 9.9626 Tf 0 -15.594 Td [(glob)]TJ
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 ET
 q
 1 0 0 1 218.61 637.283 cm
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 Q
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-/F54 9.9626 Tf 0 -15.594 Td [(nv)]TJ
+/F51 9.9626 Tf 0 -15.594 Td [(nv)]TJ
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-/F57 9.9626 Tf 16.608 0 Td [(The)-250(number)-250(of)-250(entries)-250(in)]TJ/F62 9.9626 Tf 111.052 0 Td [(pv)]TJ/F57 9.9626 Tf 10.461 0 Td [(;)]TJ
+/F54 9.9626 Tf 16.608 0 Td [(The)-250(number)-250(of)-250(entries)-250(in)]TJ/F59 9.9626 Tf 111.052 0 Td [(pv)]TJ/F54 9.9626 Tf 10.461 0 Td [(;)]TJ
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-/F54 9.9626 Tf -138.121 -13.774 Td [(pv)]TJ
+/F51 9.9626 Tf -138.121 -13.774 Td [(pv)]TJ
 0 g 0 G
-/F57 9.9626 Tf 16.608 0 Td [(A)-393(vector)-394(containing)-393(the)-394(indices)-393(of)-394(the)-394(pr)18(ocesses)-393(to)-394(which)-393(the)]TJ 2.022 -11.955 Td [(global)-357(index)-357(should)-356(be)-357(assigend;)-410(each)-357(entry)-357(must)-357(satisfy)-357(0)]TJ/F86 10.3811 Tf 270.063 0 Td [(\024)]TJ/F55 9.9626 Tf -269.39 -11.956 Td [(p)-25(v)]TJ/F88 10.3811 Tf 10.461 0 Td [(\050)]TJ/F55 9.9626 Tf 4.204 0 Td [(i)]TJ/F88 10.3811 Tf 3.088 0 Td [(\051)]TJ/F64 10.3811 Tf 8.665 0 Td [(<)]TJ/F55 9.9626 Tf 12.71 0 Td [(n)-80(p)]TJ/F57 9.9626 Tf 11.442 0 Td [(;)-382(if)]TJ/F55 9.9626 Tf 16.006 0 Td [(n)-25(v)]TJ/F64 10.3811 Tf 15.409 0 Td [(>)]TJ/F57 9.9626 Tf 12.586 0 Td [(1)-338(we)-338(have)-338(an)-338(index)-338(assigned)-338(to)-338(multiple)]TJ -95.244 -11.955 Td [(pr)18(ocesses,)-250(i.e.)-310(we)-250(have)-250(an)-250(overlap)-250(among)-250(the)-250(subdomains.)]TJ
+/F54 9.9626 Tf 16.608 0 Td [(A)-393(vector)-394(containing)-393(the)-394(indices)-393(of)-394(the)-394(pr)18(ocesses)-393(to)-394(which)-393(the)]TJ 2.022 -11.955 Td [(global)-357(index)-357(should)-356(be)-357(assigend;)-410(each)-357(entry)-357(must)-357(satisfy)-357(0)]TJ/F83 10.3811 Tf 270.063 0 Td [(\024)]TJ/F52 9.9626 Tf -269.39 -11.956 Td [(p)-25(v)]TJ/F85 10.3811 Tf 10.461 0 Td [(\050)]TJ/F52 9.9626 Tf 4.204 0 Td [(i)]TJ/F85 10.3811 Tf 3.088 0 Td [(\051)]TJ/F61 10.3811 Tf 8.665 0 Td [(<)]TJ/F52 9.9626 Tf 12.71 0 Td [(n)-80(p)]TJ/F54 9.9626 Tf 11.442 0 Td [(;)-382(if)]TJ/F52 9.9626 Tf 16.006 0 Td [(n)-25(v)]TJ/F61 10.3811 Tf 15.409 0 Td [(>)]TJ/F54 9.9626 Tf 12.586 0 Td [(1)-338(we)-338(have)-338(an)-338(index)-338(assigned)-338(to)-338(multiple)]TJ -95.244 -11.955 Td [(pr)18(ocesses,)-250(i.e.)-310(we)-250(have)-250(an)-250(overlap)-250(among)-250(the)-250(subdomains.)]TJ
 0 g 0 G
-/F54 9.9626 Tf -40.548 -15.594 Td [(vg)]TJ
+/F51 9.9626 Tf -40.548 -15.594 Td [(vg)]TJ
 0 g 0 G
-/F57 9.9626 Tf 16.06 0 Td [(In)-330(this)-330(case)-330(the)-330(association)-330(between)-331(an)-330(index)-330(and)-330(a)-330(pr)18(ocess)-330(is)-330(spec-)]TJ 5.858 -11.955 Td [(i\002ed)-371(via)-372(an)-371(integer)-372(vector)]TJ/F62 9.9626 Tf 120.986 0 Td [(vg\0501:mg\051)]TJ/F57 9.9626 Tf 41.842 0 Td [(;)-432(each)-372(index)]TJ/F55 9.9626 Tf 58.923 0 Td [(i)]TJ/F86 10.3811 Tf 8.096 0 Td [(2)-506(f)]TJ/F57 9.9626 Tf 17.485 0 Td [(1)-179(.)-192(.)-192(.)]TJ/F55 9.9626 Tf 19.967 0 Td [(m)-47(g)]TJ/F86 10.3811 Tf 13.449 0 Td [(g)]TJ/F57 9.9626 Tf 9.016 0 Td [(is)]TJ -289.764 -11.955 Td [(assigned)-381(to)-381(pr)18(ocess)]TJ/F55 9.9626 Tf 91.547 0 Td [(v)-47(g)]TJ/F88 10.3811 Tf 10.68 0 Td [(\050)]TJ/F55 9.9626 Tf 4.204 0 Td [(i)]TJ/F88 10.3811 Tf 3.089 0 Td [(\051)]TJ/F57 9.9626 Tf 4.149 0 Td [(.)-703(The)-380(vector)]TJ/F62 9.9626 Tf 61.203 0 Td [(vg)]TJ/F57 9.9626 Tf 14.255 0 Td [(must)-381(be)-381(identical)-381(on)-380(all)]TJ -189.127 -11.955 Td [(calling)-354(pr)18(ocesses;)-406(its)-355(entri)1(es)-355(may)-354(have)-354(the)-354(ranges)]TJ/F88 10.3811 Tf 226.209 0 Td [(\050)]TJ/F57 9.9626 Tf 4.149 0 Td [(0)-179(.)-192(.)-191(.)]TJ/F55 9.9626 Tf 19.967 0 Td [(n)-80(p)]TJ/F86 10.3811 Tf 13.888 0 Td [(\000)]TJ/F57 9.9626 Tf 10.515 0 Td [(1)]TJ/F88 10.3811 Tf 5.106 0 Td [(\051)]TJ/F57 9.9626 Tf 7.678 0 Td [(or)]TJ/F88 10.3811 Tf -287.387 -11.955 Td [(\050)]TJ/F57 9.9626 Tf 4.149 0 Td [(1)-179(.)-192(.)-191(.)]TJ/F55 9.9626 Tf 19.967 0 Td [(n)-80(p)]TJ/F88 10.3811 Tf 11.566 0 Td [(\051)]TJ/F57 9.9626 Tf 6.984 0 Td [(accor)18(ding)-284(to)-285(the)-284(value)-285(of)]TJ/F62 9.9626 Tf 113.068 0 Td [(flag)]TJ/F57 9.9626 Tf 20.922 0 Td [(.)-413(The)-285(size)]TJ/F55 9.9626 Tf 45.955 0 Td [(m)-47(g)]TJ/F57 9.9626 Tf 16.159 0 Td [(may)-285(be)-284(spec-)]TJ -238.895 -11.955 Td [(i\002ed)-349(via)-349(the)-349(optional)-349(ar)18(gument)]TJ/F62 9.9626 Tf 144.092 0 Td [(mg)]TJ/F57 9.9626 Tf 10.46 0 Td [(;)-399(the)-349(default)-349(is)-349(to)-349(use)-349(the)-349(entir)18(e)]TJ -154.552 -11.956 Td [(vector)]TJ/F62 9.9626 Tf 29.937 0 Td [(vg)]TJ/F57 9.9626 Tf 10.461 0 Td [(,)-250(thus)-250(having)]TJ/F62 9.9626 Tf 59.885 0 Td [(mg=size\050vg\051)]TJ/F57 9.9626 Tf 57.534 0 Td [(.)]TJ
+/F54 9.9626 Tf 16.06 0 Td [(In)-330(this)-330(case)-330(the)-330(association)-330(between)-331(an)-330(index)-330(and)-330(a)-330(pr)18(ocess)-330(is)-330(spec-)]TJ 5.858 -11.955 Td [(i\002ed)-371(via)-372(an)-371(integer)-372(vector)]TJ/F59 9.9626 Tf 120.986 0 Td [(vg\0501:mg\051)]TJ/F54 9.9626 Tf 41.842 0 Td [(;)-432(each)-372(index)]TJ/F52 9.9626 Tf 58.923 0 Td [(i)]TJ/F83 10.3811 Tf 8.096 0 Td [(2)-506(f)]TJ/F54 9.9626 Tf 17.485 0 Td [(1)-179(.)-192(.)-192(.)]TJ/F52 9.9626 Tf 19.967 0 Td [(m)-47(g)]TJ/F83 10.3811 Tf 13.449 0 Td [(g)]TJ/F54 9.9626 Tf 9.016 0 Td [(is)]TJ -289.764 -11.955 Td [(assigned)-381(to)-381(pr)18(ocess)]TJ/F52 9.9626 Tf 91.547 0 Td [(v)-47(g)]TJ/F85 10.3811 Tf 10.68 0 Td [(\050)]TJ/F52 9.9626 Tf 4.204 0 Td [(i)]TJ/F85 10.3811 Tf 3.089 0 Td [(\051)]TJ/F54 9.9626 Tf 4.149 0 Td [(.)-703(The)-380(vector)]TJ/F59 9.9626 Tf 61.203 0 Td [(vg)]TJ/F54 9.9626 Tf 14.255 0 Td [(must)-381(be)-381(identical)-381(on)-380(all)]TJ -189.127 -11.955 Td [(calling)-354(pr)18(ocesses;)-406(its)-355(entri)1(es)-355(may)-354(have)-354(the)-354(ranges)]TJ/F85 10.3811 Tf 226.209 0 Td [(\050)]TJ/F54 9.9626 Tf 4.149 0 Td [(0)-179(.)-192(.)-191(.)]TJ/F52 9.9626 Tf 19.967 0 Td [(n)-80(p)]TJ/F83 10.3811 Tf 13.888 0 Td [(\000)]TJ/F54 9.9626 Tf 10.515 0 Td [(1)]TJ/F85 10.3811 Tf 5.106 0 Td [(\051)]TJ/F54 9.9626 Tf 7.678 0 Td [(or)]TJ/F85 10.3811 Tf -287.387 -11.955 Td [(\050)]TJ/F54 9.9626 Tf 4.149 0 Td [(1)-179(.)-192(.)-191(.)]TJ/F52 9.9626 Tf 19.967 0 Td [(n)-80(p)]TJ/F85 10.3811 Tf 11.566 0 Td [(\051)]TJ/F54 9.9626 Tf 6.984 0 Td [(accor)18(ding)-284(to)-285(the)-284(value)-285(of)]TJ/F59 9.9626 Tf 113.068 0 Td [(flag)]TJ/F54 9.9626 Tf 20.922 0 Td [(.)-413(The)-285(size)]TJ/F52 9.9626 Tf 45.955 0 Td [(m)-47(g)]TJ/F54 9.9626 Tf 16.159 0 Td [(may)-285(be)-284(spec-)]TJ -238.895 -11.955 Td [(i\002ed)-349(via)-349(the)-349(optional)-349(ar)18(gument)]TJ/F59 9.9626 Tf 144.092 0 Td [(mg)]TJ/F54 9.9626 Tf 10.46 0 Td [(;)-399(the)-349(default)-349(is)-349(to)-349(use)-349(the)-349(entir)18(e)]TJ -154.552 -11.956 Td [(vector)]TJ/F59 9.9626 Tf 29.937 0 Td [(vg)]TJ/F54 9.9626 Tf 10.461 0 Td [(,)-250(thus)-250(having)]TJ/F59 9.9626 Tf 59.885 0 Td [(mg=size\050vg\051)]TJ/F54 9.9626 Tf 57.534 0 Td [(.)]TJ
 0 g 0 G
-/F54 9.9626 Tf -179.735 -15.593 Td [(vl)]TJ
+/F51 9.9626 Tf -179.735 -15.593 Td [(vl)]TJ
 0 g 0 G
-/F57 9.9626 Tf 13.838 0 Td [(In)-383(this)-382(case)-383(we)-383(ar)18(e)-382(specifying)-383(the)-383(list)-382(of)-383(indices)]TJ/F62 9.9626 Tf 220.787 0 Td [(vl\0501:nl\051)]TJ/F57 9.9626 Tf 45.655 0 Td [(assigned)]TJ -258.362 -11.955 Td [(to)-401(the)-400(curr)18(ent)-401(pr)18(ocess;)-476(thus,)-438(the)-400(global)-401(pr)18(oblem)-400(size)]TJ/F55 9.9626 Tf 243.82 0 Td [(m)-47(g)]TJ/F57 9.9626 Tf 17.316 0 Td [(is)-401(given)]TJ -261.136 -11.956 Td [(by)-435(the)-435(range)-435(of)-435(the)-435(aggr)18(egate)-435(of)-435(the)-435(individual)-435(vectors)]TJ/F62 9.9626 Tf 259.368 0 Td [(vl)]TJ/F57 9.9626 Tf 14.794 0 Td [(spec-)]TJ -274.162 -11.955 Td [(i\002ed)-429(in)-429(the)-429(calling)-428(pr)18(ocesses.)-847(The)-429(size)-429(may)-429(be)-428(speci\002ed)-429(via)-429(the)]TJ 0 -11.955 Td [(optional)-438(ar)18(gument)]TJ/F62 9.9626 Tf 88.319 0 Td [(nl)]TJ/F57 9.9626 Tf 10.46 0 Td [(;)-532(the)-438(default)-438(is)-438(to)-438(use)-438(the)-438(entir)18(e)-438(vector)]TJ/F62 9.9626 Tf 185.156 0 Td [(vl)]TJ/F57 9.9626 Tf 10.461 0 Td [(,)]TJ -294.396 -11.955 Td [(thus)-364(having)]TJ/F62 9.9626 Tf 57.178 0 Td [(nl=size\050vl\051)]TJ/F57 9.9626 Tf 57.534 0 Td [(.)-652(If)]TJ/F62 9.9626 Tf 19.294 0 Td [(globalcheck=.true.)]TJ/F57 9.9626 Tf 97.774 0 Td [(the)-364(subr)18(outine)]TJ -231.78 -11.955 Td [(will)-403(check)-403(how)-404(many)-403(times)-403(each)-403(entry)-403(in)-404(the)-403(global)-403(index)-403(space)]TJ/F88 10.3811 Tf 0.125 -11.955 Td [(\050)]TJ/F57 9.9626 Tf 4.149 0 Td [(1)-179(.)-192(.)-191(.)]TJ/F55 9.9626 Tf 19.967 0 Td [(m)-47(g)]TJ/F88 10.3811 Tf 13.449 0 Td [(\051)]TJ/F57 9.9626 Tf 6.245 0 Td [(is)-210(speci\002ed)-211(in)-210(the)-210(input)-210(lists)]TJ/F62 9.9626 Tf 122.836 0 Td [(vl)]TJ/F57 9.9626 Tf 10.461 0 Td [(,)-218(thus)-211(allowin)1(g)-211(for)-210(the)-210(pr)18(es-)]TJ -177.232 -11.956 Td [(ence)-302(of)-302(overlap)-302(in)-302(the)-302(input,)-315(and)-302(checki)1(ng)-302(for)-302(\223orphan\224)-302(indices.)-466(If)]TJ/F62 9.9626 Tf 0 -11.955 Td [(globalcheck=.false.)]TJ/F57 9.9626 Tf 99.377 0 Td [(,)-437(the)-400(subr)18(outine)-400(will)-400(not)-400(check)-400(for)-400(overlap,)]TJ -99.377 -11.955 Td [(and)-255(may)-255(be)-255(signi\002cantly)-255(faster)74(,)-257(but)-255(the)-255(user)-255(is)-255(implicitly)-255(guarantee-)]TJ 0 -11.955 Td [(ing)-250(that)-250(ther)18(e)-250(ar)18(e)-250(neither)-250(orphan)-250(nor)-250(overlap)-250(indices.)]TJ
+/F54 9.9626 Tf 13.838 0 Td [(In)-383(this)-382(case)-383(we)-383(ar)18(e)-382(specifying)-383(the)-383(list)-382(of)-383(indices)]TJ/F59 9.9626 Tf 220.787 0 Td [(vl\0501:nl\051)]TJ/F54 9.9626 Tf 45.655 0 Td [(assigned)]TJ -258.362 -11.955 Td [(to)-401(the)-400(curr)18(ent)-401(pr)18(ocess;)-476(thus,)-438(the)-400(global)-401(pr)18(oblem)-400(size)]TJ/F52 9.9626 Tf 243.82 0 Td [(m)-47(g)]TJ/F54 9.9626 Tf 17.316 0 Td [(is)-401(given)]TJ -261.136 -11.956 Td [(by)-435(the)-435(range)-435(of)-435(the)-435(aggr)18(egate)-435(of)-435(the)-435(individual)-435(vectors)]TJ/F59 9.9626 Tf 259.368 0 Td [(vl)]TJ/F54 9.9626 Tf 14.794 0 Td [(spec-)]TJ -274.162 -11.955 Td [(i\002ed)-429(in)-429(the)-429(calling)-428(pr)18(ocesses.)-847(The)-429(size)-429(may)-429(be)-428(speci\002ed)-429(via)-429(the)]TJ 0 -11.955 Td [(optional)-438(ar)18(gument)]TJ/F59 9.9626 Tf 88.319 0 Td [(nl)]TJ/F54 9.9626 Tf 10.46 0 Td [(;)-532(the)-438(default)-438(is)-438(to)-438(use)-438(the)-438(entir)18(e)-438(vector)]TJ/F59 9.9626 Tf 185.156 0 Td [(vl)]TJ/F54 9.9626 Tf 10.461 0 Td [(,)]TJ -294.396 -11.955 Td [(thus)-364(having)]TJ/F59 9.9626 Tf 57.178 0 Td [(nl=size\050vl\051)]TJ/F54 9.9626 Tf 57.534 0 Td [(.)-652(If)]TJ/F59 9.9626 Tf 19.294 0 Td [(globalcheck=.true.)]TJ/F54 9.9626 Tf 97.774 0 Td [(the)-364(subr)18(outine)]TJ -231.78 -11.955 Td [(will)-403(check)-403(how)-404(many)-403(times)-403(each)-403(entry)-403(in)-404(the)-403(global)-403(index)-403(space)]TJ/F85 10.3811 Tf 0.125 -11.955 Td [(\050)]TJ/F54 9.9626 Tf 4.149 0 Td [(1)-179(.)-192(.)-191(.)]TJ/F52 9.9626 Tf 19.967 0 Td [(m)-47(g)]TJ/F85 10.3811 Tf 13.449 0 Td [(\051)]TJ/F54 9.9626 Tf 6.245 0 Td [(is)-210(speci\002ed)-211(in)-210(the)-210(input)-210(lists)]TJ/F59 9.9626 Tf 122.836 0 Td [(vl)]TJ/F54 9.9626 Tf 10.461 0 Td [(,)-218(thus)-211(allowin)1(g)-211(for)-210(the)-210(pr)18(es-)]TJ -177.232 -11.956 Td [(ence)-302(of)-302(overlap)-302(in)-302(the)-302(input,)-315(and)-302(checki)1(ng)-302(for)-302(\223orphan\224)-302(indices.)-466(If)]TJ/F59 9.9626 Tf 0 -11.955 Td [(globalcheck=.false.)]TJ/F54 9.9626 Tf 99.377 0 Td [(,)-437(the)-400(subr)18(outine)-400(will)-400(not)-400(check)-400(for)-400(overlap,)]TJ -99.377 -11.955 Td [(and)-255(may)-255(be)-255(signi\002cantly)-255(faster)74(,)-257(but)-255(the)-255(user)-255(is)-255(implicitly)-255(guarantee-)]TJ 0 -11.955 Td [(ing)-250(that)-250(ther)18(e)-250(ar)18(e)-250(neither)-250(orphan)-250(nor)-250(overlap)-250(indices.)]TJ
 0 g 0 G
-/F54 9.9626 Tf -21.918 -15.594 Td [(lidx)]TJ
+/F51 9.9626 Tf -21.918 -15.594 Td [(lidx)]TJ
 0 g 0 G
-/F57 9.9626 Tf 22.685 0 Td [(The)-377(optional)-376(ar)18(gument)]TJ/F62 9.9626 Tf 107.528 0 Td [(lidx)]TJ/F57 9.9626 Tf 24.674 0 Td [(is)-377(available)-376(for)-377(those)-377(cases)-377(in)-376(which)]TJ -132.969 -11.955 Td [(the)-361(user)-361(has)-361(alr)18(eady)-361(established)-361(a)-361(global-to-local)-361(mapping;)-416(if)-361(it)-361(is)]TJ 0 -11.955 Td [(speci\002ed,)-253(each)-253(index)-253(in)]TJ/F62 9.9626 Tf 105.128 0 Td [(vl\050i\051)]TJ/F57 9.9626 Tf 28.669 0 Td [(will)-253(be)-252(mapped)-253(to)-253(the)-252(corr)18(esponding)]TJ -133.797 -11.955 Td [(local)-317(index)]TJ/F62 9.9626 Tf 51.649 0 Td [(lidx\050i\051)]TJ/F57 9.9626 Tf 36.612 0 Td [(.)-510(When)-317(specifying)-316(the)-317(ar)18(gument)]TJ/F62 9.9626 Tf 148.638 0 Td [(lidx)]TJ/F57 9.9626 Tf 24.076 0 Td [(the)-317(user)]TJ -260.975 -11.956 Td [(would)-329(also)-330(likely)-329(employ)]TJ/F62 9.9626 Tf 117.394 0 Td [(lidx)]TJ/F57 9.9626 Tf 24.203 0 Td [(in)-329(calls)-330(to)]TJ/F62 9.9626 Tf 46.656 0 Td [(psb_cdins)]TJ/F57 9.9626 Tf 50.355 0 Td [(and)]TJ/F62 9.9626 Tf 20.148 0 Td [(local)]TJ/F57 9.9626 Tf 29.433 0 Td [(in)]TJ -288.189 -11.955 Td [(calls)-250(to)]TJ/F62 9.9626 Tf 33.095 0 Td [(psb_spins)]TJ/F57 9.9626 Tf 49.564 0 Td [(and)]TJ/F62 9.9626 Tf 19.358 0 Td [(psb_geins)]TJ/F57 9.9626 Tf 47.073 0 Td [(;)-250(see)-250(also)-250(sec.)]TJ
+/F54 9.9626 Tf 22.685 0 Td [(The)-377(optional)-376(ar)18(gument)]TJ/F59 9.9626 Tf 107.528 0 Td [(lidx)]TJ/F54 9.9626 Tf 24.674 0 Td [(is)-377(available)-376(for)-377(those)-377(cases)-377(in)-376(which)]TJ -132.969 -11.955 Td [(the)-361(user)-361(has)-361(alr)18(eady)-361(established)-361(a)-361(global-to-local)-361(mapping;)-416(if)-361(it)-361(is)]TJ 0 -11.955 Td [(speci\002ed,)-253(each)-253(index)-253(in)]TJ/F59 9.9626 Tf 105.128 0 Td [(vl\050i\051)]TJ/F54 9.9626 Tf 28.669 0 Td [(will)-253(be)-252(mapped)-253(to)-253(the)-252(corr)18(esponding)]TJ -133.797 -11.955 Td [(local)-317(index)]TJ/F59 9.9626 Tf 51.649 0 Td [(lidx\050i\051)]TJ/F54 9.9626 Tf 36.612 0 Td [(.)-510(When)-317(specifying)-316(the)-317(ar)18(gument)]TJ/F59 9.9626 Tf 148.638 0 Td [(lidx)]TJ/F54 9.9626 Tf 24.076 0 Td [(the)-317(user)]TJ -260.975 -11.956 Td [(would)-329(also)-330(likely)-329(employ)]TJ/F59 9.9626 Tf 117.394 0 Td [(lidx)]TJ/F54 9.9626 Tf 24.203 0 Td [(in)-329(calls)-330(to)]TJ/F59 9.9626 Tf 46.656 0 Td [(psb_cdins)]TJ/F54 9.9626 Tf 50.355 0 Td [(and)]TJ/F59 9.9626 Tf 20.148 0 Td [(local)]TJ/F54 9.9626 Tf 29.433 0 Td [(in)]TJ -288.189 -11.955 Td [(calls)-250(to)]TJ/F59 9.9626 Tf 33.095 0 Td [(psb_spins)]TJ/F54 9.9626 Tf 49.564 0 Td [(and)]TJ/F59 9.9626 Tf 19.358 0 Td [(psb_geins)]TJ/F54 9.9626 Tf 47.073 0 Td [(;)-250(see)-250(also)-250(sec.)]TJ
 0 0 1 rg 0 0 1 RG
  [-250(2.3.1)]TJ
 0 g 0 G
  [(.)]TJ
 0 g 0 G
-/F54 9.9626 Tf -171.008 -15.593 Td [(nl)]TJ
+/F51 9.9626 Tf -171.008 -15.593 Td [(nl)]TJ
 0 g 0 G
-/F57 9.9626 Tf 14.386 0 Td [(If)-411(this)-411(ar)18(gument)-411(is)-411(speci\002ed)-411(alone)-411(\050i.e.)-793(without)]TJ/F62 9.9626 Tf 223.432 0 Td [(vl)]TJ/F57 9.9626 Tf 10.461 0 Td [(\051)-411(the)-411(r)18(esult)-411(is)-411(a)]TJ -226.361 -11.956 Td [(generalized)-280(r)18(ow-block)-280(distribution)-280(in)-280(which)-281(each)-280(pr)18(ocess)]TJ/F55 9.9626 Tf 257.148 0 Td [(I)]TJ/F57 9.9626 Tf 6.642 0 Td [(gets)-280(as-)]TJ -263.79 -11.955 Td [(signed)-250(a)-250(consecutive)-250(chunk)-250(of)]TJ/F55 9.9626 Tf 135.186 0 Td [(N)]TJ/F55 7.5716 Tf 7.851 -1.808 Td [(I)]TJ/F88 10.3811 Tf 6.316 1.808 Td [(=)]TJ/F55 9.9626 Tf 11.086 0 Td [(n)-25(l)]TJ/F57 9.9626 Tf 11.472 0 Td [(global)-250(indices.)]TJ
+/F54 9.9626 Tf 14.386 0 Td [(If)-411(this)-411(ar)18(gument)-411(is)-411(speci\002ed)-411(alone)-411(\050i.e.)-793(without)]TJ/F59 9.9626 Tf 223.432 0 Td [(vl)]TJ/F54 9.9626 Tf 10.461 0 Td [(\051)-411(the)-411(r)18(esult)-411(is)-411(a)]TJ -226.361 -11.956 Td [(generalized)-280(r)18(ow-block)-280(distribution)-280(in)-280(which)-281(each)-280(pr)18(ocess)]TJ/F52 9.9626 Tf 257.148 0 Td [(I)]TJ/F54 9.9626 Tf 6.642 0 Td [(gets)-280(as-)]TJ -263.79 -11.955 Td [(signed)-250(a)-250(consecutive)-250(chunk)-250(of)]TJ/F52 9.9626 Tf 135.186 0 Td [(N)]TJ/F52 7.5716 Tf 7.851 -1.808 Td [(I)]TJ/F85 10.3811 Tf 6.316 1.808 Td [(=)]TJ/F52 9.9626 Tf 11.086 0 Td [(n)-25(l)]TJ/F54 9.9626 Tf 11.472 0 Td [(global)-250(indices.)]TJ
 0 g 0 G
-/F54 9.9626 Tf -193.829 -15.593 Td [(repl)]TJ
+/F51 9.9626 Tf -193.829 -15.593 Td [(repl)]TJ
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-/F57 9.9626 Tf 23.243 0 Td [(This)-418(ar)18(guments)-417(speci\002es)-418(to)-417(r)18(eplicate)-418(all)-417(indices)-418(on)-418(all)-417(pr)18(ocesses.)]TJ -1.325 -11.956 Td [(This)-366(is)-367(a)-366(special)-366(purpose)-366(data)-367(allocation)-366(that)-366(is)-366(useful)-367(in)-366(the)-366(con-)]TJ 0 -11.955 Td [(str)8(uction)-250(of)-250(some)-250(multilevel)-250(pr)18(econditioners.)]TJ
+/F54 9.9626 Tf 23.243 0 Td [(This)-418(ar)18(guments)-417(speci\002es)-418(to)-417(r)18(eplicate)-418(all)-417(indices)-418(on)-418(all)-417(pr)18(ocesses.)]TJ -1.325 -11.956 Td [(This)-366(is)-367(a)-366(special)-366(purpose)-366(data)-367(allocation)-366(that)-366(is)-366(useful)-367(in)-366(the)-366(con-)]TJ 0 -11.955 Td [(str)8(uction)-250(of)-250(some)-250(multilevel)-250(pr)18(econditioners.)]TJ
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  -34.371 -19.579 Td [(2.)]TJ
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@@ -16368,25 +16368,25 @@ stream
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 BT
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+/F54 9.9626 Tf 112.349 706.129 Td [(3.)]TJ
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- [-500(Calling)-260(the)-260(r)18(outine)-260(with)]TJ/F62 9.9626 Tf 120.886 0 Td [(vg)]TJ/F57 9.9626 Tf 13.052 0 Td [(or)]TJ/F62 9.9626 Tf 11.965 0 Td [(parts)]TJ/F57 9.9626 Tf 28.742 0 Td [(implies)-260(that)-260(every)-260(pr)18(ocess)-260(will)-260(scan)]TJ -162.192 -11.955 Td [(the)-250(entir)18(e)-250(index)-250(space)-250(to)-250(\002gur)18(e)-250(out)-250(the)-250(local)-250(indices.)]TJ
+ [-500(Calling)-260(the)-260(r)18(outine)-260(with)]TJ/F59 9.9626 Tf 120.886 0 Td [(vg)]TJ/F54 9.9626 Tf 13.052 0 Td [(or)]TJ/F59 9.9626 Tf 11.965 0 Td [(parts)]TJ/F54 9.9626 Tf 28.742 0 Td [(implies)-260(that)-260(every)-260(pr)18(ocess)-260(will)-260(scan)]TJ -162.192 -11.955 Td [(the)-250(entir)18(e)-250(index)-250(space)-250(to)-250(\002gur)18(e)-250(out)-250(the)-250(local)-250(indices.)]TJ
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- [-500(Overlapped)-250(indices)-250(ar)18(e)-250(possible)-250(with)-250(both)]TJ/F62 9.9626 Tf 201.093 0 Td [(parts)]TJ/F57 9.9626 Tf 28.643 0 Td [(and)]TJ/F62 9.9626 Tf 19.357 0 Td [(vl)]TJ/F57 9.9626 Tf 12.951 0 Td [(invocations.)]TJ
+ [-500(Overlapped)-250(indices)-250(ar)18(e)-250(possible)-250(with)-250(both)]TJ/F59 9.9626 Tf 201.093 0 Td [(parts)]TJ/F54 9.9626 Tf 28.643 0 Td [(and)]TJ/F59 9.9626 Tf 19.357 0 Td [(vl)]TJ/F54 9.9626 Tf 12.951 0 Td [(invocations.)]TJ
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- [-500(When)-190(the)-190(subr)18(outine)-190(is)-190(invoked)-190(with)]TJ/F62 9.9626 Tf 175.161 0 Td [(vl)]TJ/F57 9.9626 Tf 12.354 0 Td [(in)-190(conjunction)-190(with)]TJ/F62 9.9626 Tf 86.235 0 Td [(globalcheck=.true.)]TJ/F57 9.9626 Tf 94.146 0 Td [(,)]TJ -355.443 -11.955 Td [(it)-280(will)-281(perform)-280(a)-280(scan)-281(of)-280(the)-281(index)-280(space)-280(to)-281(sear)18(ch)-280(for)-280(overlap)-281(or)-280(orphan)]TJ 0 -11.955 Td [(indices.)]TJ
+ [-500(When)-190(the)-190(subr)18(outine)-190(is)-190(invoked)-190(with)]TJ/F59 9.9626 Tf 175.161 0 Td [(vl)]TJ/F54 9.9626 Tf 12.354 0 Td [(in)-190(conjunction)-190(with)]TJ/F59 9.9626 Tf 86.235 0 Td [(globalcheck=.true.)]TJ/F54 9.9626 Tf 94.146 0 Td [(,)]TJ -355.443 -11.955 Td [(it)-280(will)-281(perform)-280(a)-280(scan)-281(of)-280(the)-281(index)-280(space)-280(to)-281(sear)18(ch)-280(for)-280(overlap)-281(or)-280(orphan)]TJ 0 -11.955 Td [(indices.)]TJ
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- [-500(When)-190(the)-190(subr)18(outine)-190(is)-190(invoked)-190(with)]TJ/F62 9.9626 Tf 175.161 0 Td [(vl)]TJ/F57 9.9626 Tf 12.354 0 Td [(in)-190(conjunction)-190(with)]TJ/F62 9.9626 Tf 86.235 0 Td [(globalcheck=.false.)]TJ/F57 9.9626 Tf 99.377 0 Td [(,)]TJ -360.674 -11.956 Td [(no)-338(index)-337(space)-338(scan)-337(will)-338(take)-337(place.)-573(Thus)-337(it)-338(is)-338(the)-337(r)18(esponsibility)-338(of)-337(the)]TJ 0 -11.955 Td [(user)-328(to)-328(make)-328(sur)18(e)-328(that)-328(the)-328(indices)-328(speci\002ed)-328(in)]TJ/F62 9.9626 Tf 209.973 0 Td [(vl)]TJ/F57 9.9626 Tf 13.729 0 Td [(have)-328(neither)-328(orphans)]TJ -223.702 -11.955 Td [(nor)-250(overlaps;)-250(if)-250(this)-250(assumption)-250(fails,)-250(r)18(esults)-250(will)-250(be)-250(unpr)18(edictable.)]TJ
+ [-500(When)-190(the)-190(subr)18(outine)-190(is)-190(invoked)-190(with)]TJ/F59 9.9626 Tf 175.161 0 Td [(vl)]TJ/F54 9.9626 Tf 12.354 0 Td [(in)-190(conjunction)-190(with)]TJ/F59 9.9626 Tf 86.235 0 Td [(globalcheck=.false.)]TJ/F54 9.9626 Tf 99.377 0 Td [(,)]TJ -360.674 -11.956 Td [(no)-338(index)-337(space)-338(scan)-337(will)-338(take)-337(place.)-573(Thus)-337(it)-338(is)-338(the)-337(r)18(esponsibility)-338(of)-337(the)]TJ 0 -11.955 Td [(user)-328(to)-328(make)-328(sur)18(e)-328(that)-328(the)-328(indices)-328(speci\002ed)-328(in)]TJ/F59 9.9626 Tf 209.973 0 Td [(vl)]TJ/F54 9.9626 Tf 13.729 0 Td [(have)-328(neither)-328(orphans)]TJ -223.702 -11.955 Td [(nor)-250(overlaps;)-250(if)-250(this)-250(assumption)-250(fails,)-250(r)18(esults)-250(will)-250(be)-250(unpr)18(edictable.)]TJ
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+ [-500(Orphan)-417(and)-416(overlap)-417(indices)-416(ar)18(e)-417(impossible)-416(by)-417(constr)8(uction)-417(when)-416(the)]TJ 12.453 -11.955 Td [(subr)18(outine)-250(is)-250(invoked)-250(with)]TJ/F59 9.9626 Tf 121.164 0 Td [(nl)]TJ/F54 9.9626 Tf 12.951 0 Td [(\050alone\051,)-250(or)]TJ/F59 9.9626 Tf 47.372 0 Td [(vg)]TJ/F54 9.9626 Tf 10.461 0 Td [(.)]TJ
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@@ -16402,46 +16402,46 @@ stream
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 BT
-/F54 11.9552 Tf 150.705 706.129 Td [(6.2)-1000(psb)]TJ
+/F51 11.9552 Tf 150.705 706.129 Td [(6.2)-1000(psb)]TJ
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 1 0 0 1 198.238 706.328 cm
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 Q
 BT
-/F54 11.9552 Tf 201.825 706.129 Td [(cdins)-250(\227)-250(Communication)-250(descriptor)-250(insert)-250(routine)]TJ
+/F51 11.9552 Tf 201.825 706.129 Td [(cdins)-250(\227)-250(Communication)-250(descriptor)-250(insert)-250(routine)]TJ
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+/F54 9.9626 Tf 16.05 0 Td [(the)-250(number)-250(of)-250(points)-250(being)-250(inserted.)]TJ 8.857 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.431 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -53.01 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf 39.292 0 Td [(.)]TJ -66.38 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(value.)]TJ
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+/F54 9.9626 Tf 13.28 0 Td [(the)-250(indices)-250(of)-250(the)-250(end)-250(vertex)-250(of)-250(the)-250(edges)-250(being)-250(inserted.)]TJ 11.627 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.431 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -53.01 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf 39.292 0 Td [(.)]TJ -66.38 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(array)-250(of)-250(length)]TJ/F52 9.9626 Tf 171.978 0 Td [(n)-25(z)]TJ/F54 9.9626 Tf 10.336 0 Td [(.)]TJ
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-/F54 9.9626 Tf -207.221 -19.304 Td [(mask)]TJ
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+/F54 9.9626 Tf 29.33 0 Td [(Mask)-247(entries)-248(in)]TJ/F59 9.9626 Tf 69.91 0 Td [(ja)]TJ/F54 9.9626 Tf 10.461 0 Td [(,)-248(they)-247(ar)18(e)-248(inserted)-247(only)-248(when)-247(the)-247(corr)18(esponding)]TJ/F59 9.9626 Tf 213.089 0 Td [(mask)]TJ/F54 9.9626 Tf -297.883 -11.956 Td [(entries)-250(ar)18(e)]TJ/F59 9.9626 Tf 48.139 0 Td [(.true.)]TJ/F54 9.9626 Tf -48.139 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf 21.578 0 Td [(.)]TJ -53.01 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(optional)]TJ/F54 9.9626 Tf 38.186 0 Td [(.)]TJ -65.274 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(logical)-250(array)-250(of)-250(length)]TJ/F52 9.9626 Tf 164.297 0 Td [(n)-25(z)]TJ/F54 9.9626 Tf 10.336 0 Td [(,)-250(default)]TJ/F59 9.9626 Tf 38.784 0 Td [(.true.)]TJ/F54 9.9626 Tf 31.382 0 Td [(.)]TJ
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-/F54 9.9626 Tf -269.706 -19.305 Td [(lidx)]TJ
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-/F57 9.9626 Tf 22.685 0 Td [(User)-250(de\002ned)-250(local)-250(indices)-250(for)]TJ/F62 9.9626 Tf 131.117 0 Td [(ja)]TJ/F57 9.9626 Tf 10.46 0 Td [(.)]TJ -139.355 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf 21.578 0 Td [(.)]TJ -53.01 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(optional)]TJ/F57 9.9626 Tf 38.186 0 Td [(.)]TJ -65.274 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(array)-250(of)-250(length)]TJ/F55 9.9626 Tf 171.978 0 Td [(n)-25(z)]TJ/F57 9.9626 Tf 10.336 0 Td [(.)]TJ
+/F54 9.9626 Tf 22.685 0 Td [(User)-250(de\002ned)-250(local)-250(indices)-250(for)]TJ/F59 9.9626 Tf 131.117 0 Td [(ja)]TJ/F54 9.9626 Tf 10.46 0 Td [(.)]TJ -139.355 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf 21.578 0 Td [(.)]TJ -53.01 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(optional)]TJ/F54 9.9626 Tf 38.186 0 Td [(.)]TJ -65.274 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(array)-250(of)-250(length)]TJ/F52 9.9626 Tf 171.978 0 Td [(n)-25(z)]TJ/F54 9.9626 Tf 10.336 0 Td [(.)]TJ
 0 g 0 G
-/F54 9.9626 Tf -207.221 -20.366 Td [(On)-250(Return)]TJ
+/F51 9.9626 Tf -207.221 -20.366 Td [(On)-250(Return)]TJ
 0 g 0 G
 0 g 0 G
  0 -19.305 Td [(desc)]TJ
@@ -16451,27 +16451,27 @@ q
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 0 g 0 G
-/F57 9.9626 Tf 9.962 0 Td [(the)-250(updated)-250(communication)-250(descriptor)74(.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 28.344 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ -49.923 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 24 0 Td [(required)]TJ/F57 9.9626 Tf 39.293 0 Td [(.)]TJ -63.293 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(inout)]TJ/F57 9.9626 Tf 24.348 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ
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 0 0 1 rg 0 0 1 RG
-/F62 9.9626 Tf 168.138 0 Td [(psb)]TJ
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 ET
 q
 1 0 0 1 360.068 120.525 cm
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 Q
 BT
-/F62 9.9626 Tf 363.206 120.326 Td [(desc)]TJ
+/F59 9.9626 Tf 363.206 120.326 Td [(desc)]TJ
 ET
 q
 1 0 0 1 384.755 120.525 cm
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-/F62 9.9626 Tf 387.893 120.326 Td [(type)]TJ
+/F59 9.9626 Tf 387.893 120.326 Td [(type)]TJ
 0 g 0 G
-/F57 9.9626 Tf 20.922 0 Td [(.)]TJ
+/F54 9.9626 Tf 20.922 0 Td [(.)]TJ
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  -91.236 -29.888 Td [(74)]TJ
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@@ -16488,19 +16488,19 @@ stream
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 BT
-/F54 9.9626 Tf 99.895 706.129 Td [(info)]TJ
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-/F57 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(out)]TJ/F57 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ
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 0 g 0 G
-/F54 9.9626 Tf -24.907 -19.925 Td [(ila)]TJ
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-/F57 9.9626 Tf 16.598 0 Td [(the)-250(local)-250(indices)-250(of)-250(the)-250(starting)-250(vertex)-250(of)-250(the)-250(edges)-250(being)-250(inserted.)]TJ 8.309 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ -53.011 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(optional)]TJ/F57 9.9626 Tf 38.187 0 Td [(.)]TJ -65.275 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(out)]TJ/F57 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(array)-250(of)-250(length)]TJ/F55 9.9626 Tf 171.978 0 Td [(n)-25(z)]TJ/F57 9.9626 Tf 10.336 0 Td [(.)]TJ
+/F54 9.9626 Tf 16.598 0 Td [(the)-250(local)-250(indices)-250(of)-250(the)-250(starting)-250(vertex)-250(of)-250(the)-250(edges)-250(being)-250(inserted.)]TJ 8.309 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -53.011 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(optional)]TJ/F54 9.9626 Tf 38.187 0 Td [(.)]TJ -65.275 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(array)-250(of)-250(length)]TJ/F52 9.9626 Tf 171.978 0 Td [(n)-25(z)]TJ/F54 9.9626 Tf 10.336 0 Td [(.)]TJ
 0 g 0 G
-/F54 9.9626 Tf -207.221 -19.925 Td [(jla)]TJ
+/F51 9.9626 Tf -207.221 -19.925 Td [(jla)]TJ
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+/F54 9.9626 Tf 16.598 0 Td [(the)-250(local)-250(indices)-250(of)-250(the)-250(end)-250(vertex)-250(of)-250(the)-250(edges)-250(being)-250(inserted.)]TJ 8.309 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -53.011 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(optional)]TJ/F54 9.9626 Tf 38.187 0 Td [(.)]TJ -65.275 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(array)-250(of)-250(length)]TJ/F52 9.9626 Tf 171.978 0 Td [(n)-25(z)]TJ/F54 9.9626 Tf 10.336 0 Td [(.)]TJ/F51 11.9552 Tf -207.221 -21.918 Td [(Notes)]TJ
 0 g 0 G
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+/F54 9.9626 Tf 12.454 -19.925 Td [(1.)]TJ
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  [-500(This)-250(r)18(outine)-250(may)-250(only)-250(be)-250(called)-250(if)-250(the)-250(descriptor)-250(is)-250(in)-250(the)-250(build)-250(state;)]TJ
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@@ -16530,23 +16530,23 @@ stream
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 BT
-/F54 11.9552 Tf 150.705 706.129 Td [(6.3)-1000(psb)]TJ
+/F51 11.9552 Tf 150.705 706.129 Td [(6.3)-1000(psb)]TJ
 ET
 q
 1 0 0 1 198.238 706.328 cm
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 Q
 BT
-/F54 11.9552 Tf 201.825 706.129 Td [(cdasb)-250(\227)-250(Communication)-250(descriptor)-250(assembly)-250(routine)]TJ
+/F51 11.9552 Tf 201.825 706.129 Td [(cdasb)-250(\227)-250(Communication)-250(descriptor)-250(assembly)-250(routine)]TJ
 0 g 0 G
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-/F62 9.9626 Tf -51.12 -18.964 Td [(call)-525(psb_cdasb\050desc_a,)-525(info)-525([,)-525(mold]\051)]TJ
+/F59 9.9626 Tf -51.12 -18.964 Td [(call)-525(psb_cdasb\050desc_a,)-525(info)-525([,)-525(mold]\051)]TJ
 0 g 0 G
-/F54 9.9626 Tf 0 -21.918 Td [(T)90(ype:)]TJ
+/F51 9.9626 Tf 0 -21.918 Td [(T)90(ype:)]TJ
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-/F57 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ
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-/F54 9.9626 Tf -29.828 -19.925 Td [(On)-250(Entry)]TJ
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@@ -16556,61 +16556,61 @@ q
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+/F51 9.9626 Tf 174.207 625.397 Td [(a)]TJ
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-/F57 9.9626 Tf 9.962 0 Td [(the)-250(communication)-250(descriptor)74(.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 28.344 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ -49.923 -11.956 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 24 0 Td [(required)]TJ/F57 9.9626 Tf 39.293 0 Td [(.)]TJ -63.293 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(inout)]TJ/F57 9.9626 Tf 24.348 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ
+/F54 9.9626 Tf 9.962 0 Td [(the)-250(communication)-250(descriptor)74(.)]TJ -8.558 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 28.344 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -49.923 -11.956 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 24 0 Td [(required)]TJ/F54 9.9626 Tf 39.293 0 Td [(.)]TJ -63.293 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(inout)]TJ/F54 9.9626 Tf 24.348 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ
 0 0 1 rg 0 0 1 RG
-/F62 9.9626 Tf 168.138 0 Td [(psb)]TJ
+/F59 9.9626 Tf 168.138 0 Td [(psb)]TJ
 ET
 q
 1 0 0 1 360.068 577.775 cm
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-/F62 9.9626 Tf 363.206 577.576 Td [(desc)]TJ
+/F59 9.9626 Tf 363.206 577.576 Td [(desc)]TJ
 ET
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 1 0 0 1 384.755 577.775 cm
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-/F62 9.9626 Tf 387.893 577.576 Td [(type)]TJ
+/F59 9.9626 Tf 387.893 577.576 Td [(type)]TJ
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-/F57 9.9626 Tf 20.922 0 Td [(.)]TJ
+/F54 9.9626 Tf 20.922 0 Td [(.)]TJ
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-/F54 9.9626 Tf -258.11 -19.925 Td [(mold)]TJ
+/F51 9.9626 Tf -258.11 -19.925 Td [(mold)]TJ
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-/F57 9.9626 Tf 28.782 0 Td [(The)-250(desir)18(ed)-250(dynamic)-250(type)-250(for)-250(the)-250(internal)-250(index)-250(storage.)]TJ -3.875 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 31.431 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ -53.011 -11.956 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.089 0 Td [(optional)]TJ/F57 9.9626 Tf 38.186 0 Td [(.)]TJ -65.275 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.801 0 Td [(in)]TJ/F57 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-190(as:)-280(a)-190(object)-190(of)-190(type)-190(derived)-190(fr)18(om)-190(\050integer\051)]TJ/F62 9.9626 Tf 221.926 0 Td [(psb)]TJ
+/F54 9.9626 Tf 28.782 0 Td [(The)-250(desir)18(ed)-250(dynamic)-250(type)-250(for)-250(the)-250(internal)-250(index)-250(storage.)]TJ -3.875 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 31.431 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -53.011 -11.956 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.089 0 Td [(optional)]TJ/F54 9.9626 Tf 38.186 0 Td [(.)]TJ -65.275 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.801 0 Td [(in)]TJ/F54 9.9626 Tf 9.404 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-190(as:)-280(a)-190(object)-190(of)-190(type)-190(derived)-190(fr)18(om)-190(\050integer\051)]TJ/F59 9.9626 Tf 221.926 0 Td [(psb)]TJ
 ET
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 1 0 0 1 413.855 510.029 cm
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 Q
 BT
-/F62 9.9626 Tf 416.994 509.83 Td [(T)]TJ
+/F59 9.9626 Tf 416.994 509.83 Td [(T)]TJ
 ET
 q
 1 0 0 1 422.851 510.029 cm
 []0 d 0 J 0.398 w 0 0 m 3.138 0 l S
 Q
 BT
-/F62 9.9626 Tf 425.99 509.83 Td [(base)]TJ
+/F59 9.9626 Tf 425.99 509.83 Td [(base)]TJ
 ET
 q
 1 0 0 1 447.539 510.029 cm
 []0 d 0 J 0.398 w 0 0 m 3.138 0 l S
 Q
 BT
-/F62 9.9626 Tf 450.677 509.83 Td [(vect)]TJ
+/F59 9.9626 Tf 450.677 509.83 Td [(vect)]TJ
 ET
 q
 1 0 0 1 472.226 510.029 cm
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 Q
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-/F62 9.9626 Tf 475.364 509.83 Td [(type)]TJ/F57 9.9626 Tf 20.921 0 Td [(.)]TJ
+/F59 9.9626 Tf 475.364 509.83 Td [(type)]TJ/F54 9.9626 Tf 20.921 0 Td [(.)]TJ
 0 g 0 G
-/F54 9.9626 Tf -345.58 -21.918 Td [(On)-250(Return)]TJ
+/F51 9.9626 Tf -345.58 -21.918 Td [(On)-250(Return)]TJ
 0 g 0 G
 0 g 0 G
  0 -19.925 Td [(desc)]TJ
@@ -16620,35 +16620,35 @@ q
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-/F54 9.9626 Tf 174.207 467.987 Td [(a)]TJ
+/F51 9.9626 Tf 174.207 467.987 Td [(a)]TJ
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-/F54 11.9552 Tf 99.895 706.129 Td [(6.6)-1000(psb)]TJ
+/F51 11.9552 Tf 99.895 706.129 Td [(6.6)-1000(psb)]TJ
 ET
 q
 1 0 0 1 147.429 706.328 cm
 []0 d 0 J 0.398 w 0 0 m 3.587 0 l S
 Q
 BT
-/F54 11.9552 Tf 151.016 706.129 Td [(cdbldext)-190(\227)-190(Build)-190(an)-190(extended)-190(communication)-190(descrip-)]TJ -24.221 -13.948 Td [(tor)]TJ
+/F51 11.9552 Tf 151.016 706.129 Td [(cdbldext)-190(\227)-190(Build)-190(an)-190(extended)-190(communication)-190(descrip-)]TJ -24.221 -13.948 Td [(tor)]TJ
 0 g 0 G
 0 g 0 G
-/F62 9.9626 Tf -26.9 -19.693 Td [(call)-525(psb_cdbldext\050a,desc_a,nl,desc_out,)-525(info,)-525(extype\051)]TJ/F57 9.9626 Tf 14.944 -23.422 Td [(This)-379(subr)18(outine)-379(builds)-379(an)-379(extended)-379(communication)-379(descriptor)74(,)-411(based)-379(on)]TJ -14.944 -11.955 Td [(the)-428(input)-428(descriptor)]TJ/F62 9.9626 Tf 95.499 0 Td [(desc_a)]TJ/F57 9.9626 Tf 35.646 0 Td [(and)-428(on)-428(the)-428(stencil)-428(speci\002ed)-428(thr)18(ough)-428(the)-427(input)]TJ -131.145 -11.955 Td [(sparse)-250(matrix)]TJ/F62 9.9626 Tf 62.107 0 Td [(a)]TJ/F57 9.9626 Tf 5.23 0 Td [(.)]TJ
+/F59 9.9626 Tf -26.9 -19.693 Td [(call)-525(psb_cdbldext\050a,desc_a,nl,desc_out,)-525(info,)-525(extype\051)]TJ/F54 9.9626 Tf 14.944 -23.422 Td [(This)-379(subr)18(outine)-379(builds)-379(an)-379(extended)-379(communication)-379(descriptor)74(,)-411(based)-379(on)]TJ -14.944 -11.955 Td [(the)-428(input)-428(descriptor)]TJ/F59 9.9626 Tf 95.499 0 Td [(desc_a)]TJ/F54 9.9626 Tf 35.646 0 Td [(and)-428(on)-428(the)-428(stencil)-428(speci\002ed)-428(thr)18(ough)-428(the)-427(input)]TJ -131.145 -11.955 Td [(sparse)-250(matrix)]TJ/F59 9.9626 Tf 62.107 0 Td [(a)]TJ/F54 9.9626 Tf 5.23 0 Td [(.)]TJ
 0 g 0 G
-/F54 9.9626 Tf -67.337 -21.054 Td [(T)90(ype:)]TJ
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 0 g 0 G
-/F57 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ
+/F54 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ
 0 g 0 G
-/F54 9.9626 Tf -29.828 -21.429 Td [(On)-250(Entry)]TJ
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 0 g 0 G
 0 g 0 G
  0 -21.43 Td [(a)]TJ
 0 g 0 G
-/F57 9.9626 Tf 9.963 0 Td [(A)-250(sparse)-250(matrix)-250(Scope:)]TJ/F54 9.9626 Tf 100.691 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ -107.326 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 24 0 Td [(required)]TJ/F57 9.9626 Tf 39.292 0 Td [(.)]TJ -63.292 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(type.)]TJ
+/F54 9.9626 Tf 9.963 0 Td [(A)-250(sparse)-250(matrix)-250(Scope:)]TJ/F51 9.9626 Tf 100.691 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -107.326 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 24 0 Td [(required)]TJ/F54 9.9626 Tf 39.292 0 Td [(.)]TJ -63.292 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(type.)]TJ
 0 g 0 G
-/F54 9.9626 Tf -24.907 -21.429 Td [(desc)]TJ
+/F51 9.9626 Tf -24.907 -21.429 Td [(desc)]TJ
 ET
 q
 1 0 0 1 120.408 504.147 cm
 []0 d 0 J 0.398 w 0 0 m 2.989 0 l S
 Q
 BT
-/F54 9.9626 Tf 123.397 503.948 Td [(a)]TJ
+/F51 9.9626 Tf 123.397 503.948 Td [(a)]TJ
 0 g 0 G
-/F57 9.9626 Tf 9.963 0 Td [(the)-250(communication)-250(descriptor)74(.)]TJ -8.558 -11.956 Td [(Scope:)]TJ/F54 9.9626 Tf 28.343 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ -49.922 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 24 0 Td [(required)]TJ/F57 9.9626 Tf 39.292 0 Td [(.)]TJ -63.292 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ
+/F54 9.9626 Tf 9.963 0 Td [(the)-250(communication)-250(descriptor)74(.)]TJ -8.558 -11.956 Td [(Scope:)]TJ/F51 9.9626 Tf 28.343 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -49.922 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 24 0 Td [(required)]TJ/F54 9.9626 Tf 39.292 0 Td [(.)]TJ -63.292 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ
 0 0 1 rg 0 0 1 RG
-/F62 9.9626 Tf 168.138 0 Td [(psb)]TJ
+/F59 9.9626 Tf 168.138 0 Td [(psb)]TJ
 ET
 q
 1 0 0 1 309.258 456.326 cm
 []0 d 0 J 0.398 w 0 0 m 3.138 0 l S
 Q
 BT
-/F62 9.9626 Tf 312.397 456.127 Td [(Tspmat)]TJ
+/F59 9.9626 Tf 312.397 456.127 Td [(Tspmat)]TJ
 ET
 q
 1 0 0 1 344.406 456.326 cm
 []0 d 0 J 0.398 w 0 0 m 3.138 0 l S
 Q
 BT
-/F62 9.9626 Tf 347.544 456.127 Td [(type)]TJ
+/F59 9.9626 Tf 347.544 456.127 Td [(type)]TJ
 0 g 0 G
-/F57 9.9626 Tf 20.922 0 Td [(.)]TJ
+/F54 9.9626 Tf 20.922 0 Td [(.)]TJ
 0 g 0 G
-/F54 9.9626 Tf -268.571 -21.43 Td [(nl)]TJ
+/F51 9.9626 Tf -268.571 -21.43 Td [(nl)]TJ
 0 g 0 G
-/F57 9.9626 Tf 14.386 0 Td [(the)-250(number)-250(of)-250(additional)-250(layers)-250(desir)18(ed.)]TJ 10.521 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 28.343 0 Td [(global)]TJ/F57 9.9626 Tf 28.782 0 Td [(.)]TJ -57.125 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 24 0 Td [(required)]TJ/F57 9.9626 Tf 39.292 0 Td [(.)]TJ -63.292 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(value)]TJ/F55 9.9626 Tf 131.102 0 Td [(n)-25(l)]TJ/F86 10.3811 Tf 11.873 0 Td [(\025)]TJ/F57 9.9626 Tf 10.961 0 Td [(0.)]TJ
+/F54 9.9626 Tf 14.386 0 Td [(the)-250(number)-250(of)-250(additional)-250(layers)-250(desir)18(ed.)]TJ 10.521 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 28.343 0 Td [(global)]TJ/F54 9.9626 Tf 28.782 0 Td [(.)]TJ -57.125 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 24 0 Td [(required)]TJ/F54 9.9626 Tf 39.292 0 Td [(.)]TJ -63.292 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-250(as:)-310(an)-250(integer)-250(value)]TJ/F52 9.9626 Tf 131.102 0 Td [(n)-25(l)]TJ/F83 10.3811 Tf 11.873 0 Td [(\025)]TJ/F54 9.9626 Tf 10.961 0 Td [(0.)]TJ
 0 g 0 G
-/F54 9.9626 Tf -178.843 -21.43 Td [(extype)]TJ
+/F51 9.9626 Tf -178.843 -21.43 Td [(extype)]TJ
 0 g 0 G
-/F57 9.9626 Tf 34.869 0 Td [(the)-250(kind)-250(of)-250(estension)-250(r)18(equir)18(ed.)]TJ -9.962 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 28.343 0 Td [(global)]TJ/F57 9.9626 Tf 28.782 0 Td [(.)]TJ -57.125 -11.956 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 24 0 Td [(optional)]TJ/F57 9.9626 Tf 40.677 0 Td [(.)]TJ -64.677 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(in)]TJ/F57 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-345(as:)-501(an)-345(integer)-346(value)]TJ/F62 9.9626 Tf 136.676 0 Td [(psb_ovt_xhal_)]TJ/F57 9.9626 Tf 67.994 0 Td [(,)]TJ/F62 9.9626 Tf 6.169 0 Td [(psb_ovt_asov_)]TJ/F57 9.9626 Tf 67.994 0 Td [(,)-369(default:)]TJ/F62 9.9626 Tf -278.833 -11.955 Td [(psb_ovt_xhal_)]TJ
+/F54 9.9626 Tf 34.869 0 Td [(the)-250(kind)-250(of)-250(estension)-250(r)18(equir)18(ed.)]TJ -9.962 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 28.343 0 Td [(global)]TJ/F54 9.9626 Tf 28.782 0 Td [(.)]TJ -57.125 -11.956 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 24 0 Td [(optional)]TJ/F54 9.9626 Tf 40.677 0 Td [(.)]TJ -64.677 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(in)]TJ/F54 9.9626 Tf 9.405 0 Td [(.)]TJ -41.205 -11.955 Td [(Speci\002ed)-345(as:)-501(an)-345(integer)-346(value)]TJ/F59 9.9626 Tf 136.676 0 Td [(psb_ovt_xhal_)]TJ/F54 9.9626 Tf 67.994 0 Td [(,)]TJ/F59 9.9626 Tf 6.169 0 Td [(psb_ovt_asov_)]TJ/F54 9.9626 Tf 67.994 0 Td [(,)-369(default:)]TJ/F59 9.9626 Tf -278.833 -11.955 Td [(psb_ovt_xhal_)]TJ
 0 g 0 G
-/F54 9.9626 Tf -24.907 -23.422 Td [(On)-250(Return)]TJ
+/F51 9.9626 Tf -24.907 -23.422 Td [(On)-250(Return)]TJ
 0 g 0 G
 0 g 0 G
  0 -21.43 Td [(desc)]TJ
@@ -16901,33 +16901,33 @@ q
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 Q
 BT
-/F54 9.9626 Tf 123.397 260.819 Td [(out)]TJ
+/F51 9.9626 Tf 123.397 260.819 Td [(out)]TJ
 0 g 0 G
-/F57 9.9626 Tf 19.925 0 Td [(the)-250(extended)-250(communication)-250(descriptor)74(.)]TJ -18.52 -11.955 Td [(Scope:)]TJ/F54 9.9626 Tf 28.343 0 Td [(local)]TJ/F57 9.9626 Tf 21.579 0 Td [(.)]TJ -49.922 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 24 0 Td [(required)]TJ/F57 9.9626 Tf 39.292 0 Td [(.)]TJ -63.292 -11.956 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(inout)]TJ/F57 9.9626 Tf 24.349 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ
+/F54 9.9626 Tf 19.925 0 Td [(the)-250(extended)-250(communication)-250(descriptor)74(.)]TJ -18.52 -11.955 Td [(Scope:)]TJ/F51 9.9626 Tf 28.343 0 Td [(local)]TJ/F54 9.9626 Tf 21.579 0 Td [(.)]TJ -49.922 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 24 0 Td [(required)]TJ/F54 9.9626 Tf 39.292 0 Td [(.)]TJ -63.292 -11.956 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(inout)]TJ/F54 9.9626 Tf 24.349 0 Td [(.)]TJ -56.149 -11.955 Td [(Speci\002ed)-250(as:)-310(a)-250(str)8(uctur)18(ed)-250(data)-250(of)-250(type)]TJ
 0 0 1 rg 0 0 1 RG
-/F62 9.9626 Tf 168.138 0 Td [(psb)]TJ
+/F59 9.9626 Tf 168.138 0 Td [(psb)]TJ
 ET
 q
 1 0 0 1 309.258 213.198 cm
 []0 d 0 J 0.398 w 0 0 m 3.138 0 l S
 Q
 BT
-/F62 9.9626 Tf 312.397 212.998 Td [(desc)]TJ
+/F59 9.9626 Tf 312.397 212.998 Td [(desc)]TJ
 ET
 q
 1 0 0 1 333.945 213.198 cm
 []0 d 0 J 0.398 w 0 0 m 3.138 0 l S
 Q
 BT
-/F62 9.9626 Tf 337.084 212.998 Td [(type)]TJ
+/F59 9.9626 Tf 337.084 212.998 Td [(type)]TJ
 0 g 0 G
-/F57 9.9626 Tf 20.921 0 Td [(.)]TJ
+/F54 9.9626 Tf 20.921 0 Td [(.)]TJ
 0 g 0 G
-/F54 9.9626 Tf -258.11 -21.429 Td [(info)]TJ
+/F51 9.9626 Tf -258.11 -21.429 Td [(info)]TJ
 0 g 0 G
-/F57 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.956 Td [(Scope:)]TJ/F54 9.9626 Tf 31.432 0 Td [(local)]TJ/F57 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F54 9.9626 Tf 27.088 0 Td [(required)]TJ/F57 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F54 9.9626 Tf 31.8 0 Td [(out)]TJ/F57 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ/F54 11.9552 Tf -24.907 -23.422 Td [(Notes)]TJ
+/F54 9.9626 Tf 23.801 0 Td [(Err)18(or)-250(code.)]TJ 1.106 -11.956 Td [(Scope:)]TJ/F51 9.9626 Tf 31.432 0 Td [(local)]TJ/F54 9.9626 Tf -31.432 -11.955 Td [(T)90(ype:)]TJ/F51 9.9626 Tf 27.088 0 Td [(required)]TJ/F54 9.9626 Tf -27.088 -11.955 Td [(Intent:)]TJ/F51 9.9626 Tf 31.8 0 Td [(out)]TJ/F54 9.9626 Tf 14.944 0 Td [(.)]TJ -46.744 -11.955 Td [(An)-250(integer)-250(value;)-250(0)-250(means)-250(no)-250(err)18(or)-250(has)-250(been)-250(detected.)]TJ/F51 11.9552 Tf -24.907 -23.422 Td [(Notes)]TJ
 0 g 0 G
-/F57 9.9626 Tf 166.875 -29.888 Td [(79)]TJ
+/F54 9.9626 Tf 166.875 -29.888 Td [(79)]TJ
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 ET
 
@@ -16942,13 +16942,13 @@ stream
 0 g 0 G
 0 g 0 G
 BT
-/F57 9.9626 Tf 163.158 706.129 Td [(1.)]TJ
+/F54 9.9626 Tf 163.158 706.129 Td [(1.)]TJ
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- [-500(Specifying)]TJ/F62 9.9626 Tf 61.745 0 Td [(psb_ovt_xhal_)]TJ/F57 9.9626 Tf 70.881 0 Td [(for)-290(the)]TJ/F62 9.9626 Tf 32.282 0 Td [(extype)]TJ/F57 9.9626 Tf 34.269 0 Td [(ar)18(gument)-290(the)-289(user)-290(will)-290(obtain)]TJ -186.724 -11.955 Td [(a)-400(descriptor)-400(for)-400(a)-400(domain)-400(partition)-400(in)-400(which)-400(the)-400(additional)-400(layers)-400(ar)18(e)]TJ 0 -11.955 Td [(fetched)-222(as)-221(part)-222(of)-221(an)-222(\050extended\051)-221(halo;)-232(however)-221(the)-222(index-to-pr)18(ocess)-221(map-)]TJ 0 -11.956 Td [(ping)-250(is)-250(identical)-250(to)-250(that)-250(of)-250(the)-250(base)-250(descriptor;)]TJ
+ [-500(Specifying)]TJ/F59 9.9626 Tf 61.745 0 Td [(psb_ovt_xhal_)]TJ/F54 9.9626 Tf 70.881 0 Td [(for)-290(the)]TJ/F59 9.9626 Tf 32.282 0 Td [(extype)]TJ/F54 9.9626 Tf 34.269 0 Td [(ar)18(gument)-290(the)-289(user)-290(will)-290(obtain)]TJ -186.724 -11.955 Td [(a)-400(descriptor)-400(for)-400(a)-400(domain)-400(partition)-400(in)-400(which)-400(the)-400(additional)-400(layers)-400(ar)18(e)]TJ 0 -11.955 Td [(fetched)-222(as)-221(part)-222(of)-221(an)-222(\050extended\051)-221(halo;)-232(however)-221(the)-222(index-to-pr)18(ocess)-221(map-)]TJ 0 -11.956 Td [(ping)-250(is)-250(identical)-250(to)-250(that)-250(of)-250(the)-250(base)-250(descriptor;)]TJ
 0 g 0 G
  -12.453 -19.925 Td [(2.)]TJ
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- [-500(Specifying)]TJ/F62 9.9626 Tf 61.745 0 Td [(psb_ovt_asov_)]TJ/F57 9.9626 Tf 70.881 0 Td [(for)-290(the)]TJ/F62 9.9626 Tf 32.282 0 Td [(extype)]TJ/F57 9.9626 Tf 34.269 0 Td [(ar)18(gument)-290(the)-289(user)-290(will)-290(obtain)]TJ -186.724 -11.955 Td [(a)-330(descriptor)-331(with)-330(an)-330(overlapped)-331(decomposition:)-470(the)-331(additional)-330(layer)-330(is)]TJ 0 -11.955 Td [(aggr)18(egated)-326(to)-326(the)-326(local)-326(subdomain)-326(\050and)-326(thus)-326(is)-325(an)-326(overlap\051,)-345(and)-326(a)-326(new)]TJ 0 -11.955 Td [(halo)-250(extending)-250(beyond)-250(the)-250(last)-250(additional)-250(layer)-250(is)-250(formed.)]TJ
+ [-500(Specifying)]TJ/F59 9.9626 Tf 61.745 0 Td [(psb_ovt_asov_)]TJ/F54 9.9626 Tf 70.881 0 Td [(for)-290(the)]TJ/F59 9.9626 Tf 32.282 0 Td [(extype)]TJ/F54 9.9626 Tf 34.269 0 Td [(ar)18(gument)-290(the)-289(user)-290(will)-290(obtain)]TJ -186.724 -11.955 Td [(a)-330(descriptor)-331(with)-330(an)-330(overlapped)-331(decomposition:)-470(the)-331(additional)-330(layer)-330(is)]TJ 0 -11.955 Td [(aggr)18(egated)-326(to)-326(the)-326(local)-326(subdomain)-326(\050and)-326(thus)-326(is)-325(an)-326(overlap\051,)-345(and)-326(a)-326(new)]TJ 0 -11.955 Td [(halo)-250(extending)-250(beyond)-250(the)-250(last)-250(additional)-250(layer)-250(is)-250(formed.)]TJ
 0 g 0 G
  141.968 -524.035 Td [(80)]TJ
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@@ -16964,23 +16964,23 @@ stream
 0 g 0 G
 0 g 0 G
 BT
-/F54 11.9552 Tf 99.895 706.129 Td [(6.7)-1000(psb)]TJ
+/F51 11.9552 Tf 99.895 706.129 Td [(6.7)-1000(psb)]TJ
 ET
 q
 1 0 0 1 147.429 706.328 cm
 []0 d 0 J 0.398 w 0 0 m 3.587 0 l S
 Q
 BT
-/F54 11.9552 Tf 151.016 706.129 Td [(spall)-250(\227)-250(Allocates)-250(a)-250(sparse)-250(matrix)]TJ
+/F51 11.9552 Tf 151.016 706.129 Td [(spall)-250(\227)-250(Allocates)-250(a)-250(sparse)-250(matrix)]TJ
 0 g 0 G
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-/F62 9.9626 Tf -51.121 -19.277 Td [(call)-525(psb_spall\050a,)-525(desc_a,)-525(info)-525([,)-525(nnz,)-525(dupl,)-525(buildmode]\051)]TJ
+/F59 9.9626 Tf -51.121 -19.277 Td [(call)-525(psb_spall\050a,)-525(desc_a,)-525(info)-525([,)-525(nnz,)-525(dupl,)-525(buildmode]\051)]TJ
 0 g 0 G
-/F54 9.9626 Tf 0 -22.403 Td [(T)90(ype:)]TJ
+/F51 9.9626 Tf 0 -22.403 Td [(T)90(ype:)]TJ
 0 g 0 G
-/F57 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ
+/F54 9.9626 Tf 29.828 0 Td [(Synchr)18(onous.)]TJ
 0 g 0 G
-/F54 9.9626 Tf -29.828 -20.571 Td [(On)-250(Entry)]TJ
+/F51 9.9626 Tf -29.828 -20.571 Td [(On)-250(Entry)]TJ
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  0 -20.572 Td [(desc)]TJ
@@ -16990,70 +16990,70 @@ q
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 Q
 BT
-/F54 9.9626 Tf 123.397 623.306 Td [(a)]TJ
+/F51 9.9626 Tf 123.397 623.306 Td [(a)]TJ
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From 827934adae02f0671f2100b89a978a94cc65b2bf Mon Sep 17 00:00:00 2001
From: Salvatore Filippone 
Date: Fri, 15 Apr 2022 11:58:31 +0200
Subject: [PATCH 28/28] Update docs. Bump 3.8 version.

---
 base/modules/psb_const_mod.F90 |  4 ++--
 docs/html/index.html           |  4 ++--
 docs/html/userhtml.html        |  4 ++--
 docs/html/userhtmlsu36.html    |  5 +++--
 docs/html/userhtmlsu37.html    | 22 +++++++++---------
 docs/html/userhtmlsu38.html    | 25 +++++++++++----------
 docs/html/userhtmlsu39.html    | 12 +++++-----
 docs/html/userhtmlsu40.html    | 14 ++++++------
 docs/html/userhtmlsu41.html    | 23 ++++++++++++-------
 docs/html/userhtmlsu42.html    | 14 ++++++------
 docs/html/userhtmlsu43.html    | 33 ++++++++++++++++++++++-----
 docs/html/userhtmlsu44.html    | 12 +++++-----
 docs/html/userhtmlsu45.html    | 12 +++++-----
 docs/html/userhtmlsu46.html    | 14 ++++++------
 docs/html/userhtmlsu47.html    | 12 +++++-----
 docs/html/userhtmlsu48.html    | 14 ++++++------
 docs/html/userhtmlsu49.html    | 14 ++++++------
 docs/html/userhtmlsu50.html    | 14 ++++++------
 docs/html/userhtmlsu51.html    | 14 ++++++------
 docs/html/userhtmlsu52.html    | 14 ++++++------
 docs/html/userhtmlsu53.html    | 14 ++++++------
 docs/html/userhtmlsu54.html    | 14 ++++++------
 docs/html/userhtmlsu55.html    | 12 +++++-----
 docs/html/userhtmlsu56.html    | 16 ++++++-------
 docs/html/userhtmlsu83.html    | 32 ++++++++++++++++++++++++++
 docs/html/userhtmlsu84.html    |  2 +-
 docs/html/userhtmlsu85.html    |  2 +-
 docs/html/userhtmlsu86.html    |  2 +-
 docs/html/userhtmlsu87.html    |  2 +-
 docs/html/userhtmlsu88.html    |  2 +-
 docs/html/userhtmlsu89.html    |  2 +-
 docs/src/Makefile              |  2 +-
 docs/src/toolsrout.tex         | 41 ++++++++++++++++++++++++++--------
 docs/src/userguide.tex         |  8 +++----
 docs/src/userhtml.tex          |  4 ++--
 35 files changed, 261 insertions(+), 174 deletions(-)

diff --git a/base/modules/psb_const_mod.F90 b/base/modules/psb_const_mod.F90
index 85833a49..cc29f049 100644
--- a/base/modules/psb_const_mod.F90
+++ b/base/modules/psb_const_mod.F90
@@ -136,9 +136,9 @@ module psb_const_mod
   !
   ! Version
   !
-  character(len=*), parameter    :: psb_version_string_ = "3.7.0"
+  character(len=*), parameter    :: psb_version_string_ = "3.8.0"
   integer(psb_ipk_), parameter   :: psb_version_major_  = 3
-  integer(psb_ipk_), parameter   :: psb_version_minor_  = 7
+  integer(psb_ipk_), parameter   :: psb_version_minor_  = 8
   integer(psb_ipk_), parameter   :: psb_patchlevel_     = 0
 
   !
diff --git a/docs/html/index.html b/docs/html/index.html
index ece52ac5..c4f777e4 100644
--- a/docs/html/index.html
+++ b/docs/html/index.html
@@ -20,8 +20,8 @@ class="newline" /> Salvatore Filippone
                                                            Alfredo Buttari  
                                                            Software version: 3.7.0.1
                                                            Feb 14th, 2022
+class="newline" />Software version: 3.8.0
                                                            May 1st, 2022
                                                                   
 
                                                                   
diff --git a/docs/html/userhtml.html b/docs/html/userhtml.html
index ece52ac5..c4f777e4 100644
--- a/docs/html/userhtml.html
+++ b/docs/html/userhtml.html
@@ -20,8 +20,8 @@ class="newline" /> Salvatore Filippone
                                                            Alfredo Buttari  
                                                            Software version: 3.7.0.1
                                                            Feb 14th, 2022
+class="newline" />Software version: 3.8.0
                                                            May 1st, 2022
                                                                   
 
                                                                   
diff --git a/docs/html/userhtmlsu36.html b/docs/html/userhtmlsu36.html
index 93be49b1..1f4bc96c 100644
--- a/docs/html/userhtmlsu36.html
+++ b/docs/html/userhtmlsu36.html
@@ -145,8 +145,9 @@ class="cmmi-10">nnz  in  the
      multiple) data reallocations;
                                                          2. Using psb_matbld_remote_ will cause an overhead at assembly time;
                                                          + class="enumerate" id="x47-84008x4">Using psb_matbld_remote_ is likely to cause a runtime overhead at + assembly time;
                                                        diff --git a/docs/html/userhtmlsu37.html b/docs/html/userhtmlsu37.html index e59a77e4..725a67ca 100644 --- a/docs/html/userhtmlsu37.html +++ b/docs/html/userhtmlsu37.html @@ -234,14 +234,11 @@ class="cmmi-10">,ja(i),val(i), for i = 1i = 1,…,nz; these triples should - belong to the current process, i.e. ia(i) should be one of the local indices, - but are otherwise arbitrary; +class="cmmi-10">,nz; these triples are + arbitrary;
                                                      2. In CSR format the coefficients to be inserted for each input row -1 should be one of the local indices, but are otherwise call, according to the application needs;
                                                      3. Any coefficients from matrix rows not owned by the calling process are - silently ignored; + class="enumerate" id="x48-85018x9">Coefficients from matrix rows not owned by the calling process are + treated according to the value of buildmode specified at allocation time; if + buildmode was chosen as psb_matbld_remote_ the library will keep track + of them, otherwise they are silently ignored; @@ -300,12 +302,12 @@ class="cmsy-10">-1 should be one of the local indices, but are otherwise -

                                                        [

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                                                        -

                                                        diff --git a/docs/html/userhtmlsu38.html b/docs/html/userhtmlsu38.html index 46962f0b..0b03af51 100644 --- a/docs/html/userhtmlsu38.html +++ b/docs/html/userhtmlsu38.html @@ -10,7 +10,7 @@ -

                                                        [

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                                                        -call psb_spasb(a, desc_a, info, afmt, upd,  mold)
+call psb_spasb(a, desc_a, info [, afmt, upd,  mold])
                                                        -

                                                        -

                                                        +

                                                        +

                                                        Type:
                                                        _T_base_sparse_mat.
                                                        -

                                                        +

                                                        On Return
                                                        required
                                                        Intent: out.
                                                        An integer value; 0 means no error has been detected.
                                                        -

                                                        Notes

                                                        1. psb_spins class="enumerate" id="x49-86014x7">If the buildmode=psb_matbld_remote_ value was specified at allocation time, contributions defined on the current process but belonging to a - remote process will be handled accordingly. This is most likely to occur - in finite element applications, with dupl=psb_dupl_add_; note that the - descriptor will be updated, and there will be a runtime overhead.
                                                        + remote process will be handled accordingly. This is most likely to occur in + finite element applications, with dupl=psb_dupl_add_; it is necessary to + check for possible updates needed in the descriptor, hence there will be a + runtime overhead.
                                                      -

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                                                      -

                                                      diff --git a/docs/html/userhtmlsu39.html b/docs/html/userhtmlsu39.html index 158ffce3..71b070cd 100644 --- a/docs/html/userhtmlsu39.html +++ b/docs/html/userhtmlsu39.html @@ -10,7 +10,7 @@ -

                                                      [

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                                                       call psb_spfree(a, desc_a, info)
                                                      -

                                                      -

                                                      +

                                                      +

                                                      Type:
                                                      psb_desc_type.
                                                      -

                                                      +

                                                      On Return
                                                      An integer value; 0 means no error has been detected.

                                                      [

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                                                      -

                                                      diff --git a/docs/html/userhtmlsu40.html b/docs/html/userhtmlsu40.html index f66b2654..7485edd3 100644 --- a/docs/html/userhtmlsu40.html +++ b/docs/html/userhtmlsu40.html @@ -10,7 +10,7 @@ -

                                                      [

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                                                       call psb_sprn(a, decsc_a, info, clear)
                                                      -

                                                      -

                                                      +

                                                      +

                                                      Type:
                                                      optional.
                                                      Intent: in.
                                                      Default: true.
                                                      -

                                                      +

                                                      On Return
                                                      required
                                                      Intent: out.
                                                      An integer value; 0 means no error has been detected.
                                                      -

                                                      Notes

                                                      1. Notes -

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                                                        -

                                                        diff --git a/docs/html/userhtmlsu41.html b/docs/html/userhtmlsu41.html index 40f88253..afed2c40 100644 --- a/docs/html/userhtmlsu41.html +++ b/docs/html/userhtmlsu41.html @@ -10,7 +10,7 @@ -

                                                        [

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                                                         call psb_geall(x, desc_a, info[, dupl, bldmode, n, lb])
                                                        -

                                                        -

                                                        +

                                                        +

                                                        Type:
                                                        Intent: in.
                                                        Specified as: integer, possible values: psb_dupl_ovwrt_, psb_dupl_add_, +class="cmtt-10">psb_dupl_add_; psb_dupl_err_. +class="cmtt-10">psb_dupl_err_ has no effect.
                                                        buildmode
                                                        psb_matbld_noremote_, psb_matbld_remote_. Default: psb_matbld_noremote_.
                                                        -

                                                        +

                                                        On Return
                                                        required
                                                        Intent: out.
                                                        An integer value; 0 means no error has been detected.
                                                        +

                                                        Notes +

                                                          +
                                                        1. Using psb_matbld_remote_ is likely to cause a runtime overhead at + assembly time;
                                                        -

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                                                        -

                                                        diff --git a/docs/html/userhtmlsu42.html b/docs/html/userhtmlsu42.html index 30779ef4..eef5ec20 100644 --- a/docs/html/userhtmlsu42.html +++ b/docs/html/userhtmlsu42.html @@ -10,7 +10,7 @@ -

                                                        [

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                                                         call psb_geins(m, irw, val, x, desc_a, info [,local])
                                                        -

                                                        -

                                                        +

                                                        +

                                                        Type:
                                                        optional.
                                                        Specified as: a logical value; default: .false..
                                                        -

                                                        +

                                                        @@ -139,7 +139,7 @@ class="cmbx-10">required
                                                        Intent: out.
                                                        An integer value; 0 means no error has been detected. -

                                                        Notes

                                                        1. Notes -

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                                                          -

                                                          diff --git a/docs/html/userhtmlsu43.html b/docs/html/userhtmlsu43.html index e0e237a6..1d25af7b 100644 --- a/docs/html/userhtmlsu43.html +++ b/docs/html/userhtmlsu43.html @@ -10,7 +10,7 @@ -

                                                          [

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                                                           call psb_geasb(x, desc_a, info, mold)
                                                          -

                                                          -

                                                          +

                                                          +

                                                          Type:
                                                          psb_T_vect_type.
                                                          -

                                                          +

                                                          On Return
                                                          required
                                                          Intent: out.
                                                          An integer value; 0 means no error has been detected.
                                                          +

                                                          Notes -

                                                          [ +

                                                        2. On entry to this routine the descriptor must be in the assembled state, + i.e. psb_cdasb must already have been called. +
                                                          3. +
                                                        3. If the buildmode=psb_matbld_remote_ value was specified at allocation + time, contributions defined on the current process but belonging to a + remote process will be handled accordingly. This is most likely to occur in + finite element applications, with dupl=psb_dupl_add_.
                                                        + + + + + + +

                                                        [next] [prev] [prev-tail] [front] [up]

                                                        -

                                                        diff --git a/docs/html/userhtmlsu44.html b/docs/html/userhtmlsu44.html index 1353f60a..c385f927 100644 --- a/docs/html/userhtmlsu44.html +++ b/docs/html/userhtmlsu44.html @@ -10,7 +10,7 @@ -

                                                        [

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                                                         call psb_gefree(x, desc_a, info)
                                                        -

                                                        -

                                                        +

                                                        +

                                                        Type:
                                                        psb_desc_type.
                                                        -

                                                        +

                                                        On Return
                                                        An integer value; 0 means no error has been detected.

                                                        [

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                                                        -

                                                        diff --git a/docs/html/userhtmlsu45.html b/docs/html/userhtmlsu45.html index 7ed46b09..ae3994d0 100644 --- a/docs/html/userhtmlsu45.html +++ b/docs/html/userhtmlsu45.html @@ -10,7 +10,7 @@ -

                                                        [

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                                                         call psb_gelp(trans, iperm, x, info)
                                                        -

                                                        -

                                                        +

                                                        +

                                                        Type:
                                                        Intent: inout.
                                                        Specified as: a one or two dimensional array.
                                                        -

                                                        +

                                                        On Return
                                                        An integer value; 0 means no error has been detected.

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                                                        -

                                                        diff --git a/docs/html/userhtmlsu46.html b/docs/html/userhtmlsu46.html index 933b5fab..ebe9591e 100644 --- a/docs/html/userhtmlsu46.html +++ b/docs/html/userhtmlsu46.html @@ -10,7 +10,7 @@ -

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                                                        call psb_glob_to_loc(x, y, desc_a, info, iact,owned) call psb_glob_to_loc(x, desc_a, info, iact,owned) -

                                                        -

                                                        +

                                                        +

                                                        Type:
                                                        Intent: in.
                                                        If true, then only indices strictly owned by the current process are considered valid, if false then halo indices are also accepted. Default: false.
                                                        -

                                                        +

                                                        On Return
                                                        required
                                                        Intent: out.
                                                        An integer value; 0 means no error has been detected.
                                                        -

                                                        Notes

                                                        1. Ignore means that the negative output is th -

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                                                          -

                                                          diff --git a/docs/html/userhtmlsu47.html b/docs/html/userhtmlsu47.html index 7a34bae5..c222519b 100644 --- a/docs/html/userhtmlsu47.html +++ b/docs/html/userhtmlsu47.html @@ -10,7 +10,7 @@ -

                                                          [

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                                                          call psb_loc_to_glob(x, y, desc_a, info, iact) call psb_loc_to_glob(x, desc_a, info, iact) -

                                                          -

                                                          +

                                                          +

                                                          Type:
                                                          Ignore, Warning or Abort, default Ignore.
                                                          -

                                                          +

                                                          On Return
                                                          An integer value; 0 means no error has been detected.

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                                                          -

                                                          diff --git a/docs/html/userhtmlsu48.html b/docs/html/userhtmlsu48.html index 0d2a0959..78911fdc 100644 --- a/docs/html/userhtmlsu48.html +++ b/docs/html/userhtmlsu48.html @@ -10,7 +10,7 @@ -

                                                          [

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                                                           call psb_is_owned(x, desc_a)
                                                          -

                                                          -

                                                          +

                                                          +

                                                          Type:
                                                          psb_desc_type.
                                                          -

                                                          +

                                                          On Return
                                                          required
                                                          Intent: out.
                                                          -

                                                          Notes

                                                          1. .true. value for an index that is strictly -

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                                                            -

                                                            diff --git a/docs/html/userhtmlsu49.html b/docs/html/userhtmlsu49.html index 2b440146..76f09994 100644 --- a/docs/html/userhtmlsu49.html +++ b/docs/html/userhtmlsu49.html @@ -10,7 +10,7 @@ -

                                                            [

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                                                             call psb_owned_index(y, x, desc_a, info)
                                                            -

                                                            -

                                                            +

                                                            +

                                                            Type:
                                                            Ignore, Warning or Abort, default Ignore.
                                                            -

                                                            +

                                                            On Return
                                                            An integer value; 0 means no error has been detected.

                                                            Notes

                                                            1. .true. value for those indices that are str -

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                                                              -

                                                              diff --git a/docs/html/userhtmlsu50.html b/docs/html/userhtmlsu50.html index 61677030..408b557e 100644 --- a/docs/html/userhtmlsu50.html +++ b/docs/html/userhtmlsu50.html @@ -10,7 +10,7 @@ -

                                                              [

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                                                               call psb_is_local(x, desc_a)
                                                              -

                                                              -

                                                              +

                                                              +

                                                              Type:
                                                              psb_desc_type.
                                                              -

                                                              +

                                                              On Return
                                                              required
                                                              Intent: out.
                                                              -

                                                              Notes

                                                              1. .true. value for an index that is local to -

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                                                                -

                                                                diff --git a/docs/html/userhtmlsu51.html b/docs/html/userhtmlsu51.html index 2bbbbba9..3b9a80ca 100644 --- a/docs/html/userhtmlsu51.html +++ b/docs/html/userhtmlsu51.html @@ -10,7 +10,7 @@ -

                                                                [

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                                                                 call psb_local_index(y, x, desc_a, info)
                                                                -

                                                                -

                                                                +

                                                                +

                                                                Type:
                                                                Ignore, Warning or Abort, default Ignore.
                                                                -

                                                                +

                                                                On Return
                                                                An integer value; 0 means no error has been detected.

                                                                Notes

                                                                1. .true. value for those indices that are loc -

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                                                                  -

                                                                  diff --git a/docs/html/userhtmlsu52.html b/docs/html/userhtmlsu52.html index 2eac7163..6826dfc5 100644 --- a/docs/html/userhtmlsu52.html +++ b/docs/html/userhtmlsu52.html @@ -10,7 +10,7 @@ -

                                                                  [

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                                                                   call psb_get_boundary(bndel, desc, info)
                                                                  -

                                                                  -

                                                                  +

                                                                  +

                                                                  Type:
                                                                  psb_desc_type.
                                                                  -

                                                                  +

                                                                  On Return
                                                                  required
                                                                  Intent: out.
                                                                  An integer value; 0 means no error has been detected.
                                                                  -

                                                                  Notes

                                                                  1. bndel will be exactly equal to the nu -

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                                                                    -

                                                                    diff --git a/docs/html/userhtmlsu53.html b/docs/html/userhtmlsu53.html index 52f5837a..10ce7017 100644 --- a/docs/html/userhtmlsu53.html +++ b/docs/html/userhtmlsu53.html @@ -10,7 +10,7 @@ -

                                                                    [

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                                                                     call psb_get_overlap(ovrel, desc, info)
                                                                    -

                                                                    -

                                                                    +

                                                                    +

                                                                    Type:
                                                                    psb_desc_type.
                                                                    -

                                                                    +

                                                                    On Return
                                                                    required
                                                                    Intent: out.
                                                                    An integer value; 0 means no error has been detected.
                                                                    -

                                                                    Notes

                                                                    1. ovrel will be exactly equal to the number o -

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                                                                      -

                                                                      diff --git a/docs/html/userhtmlsu54.html b/docs/html/userhtmlsu54.html index 4de7e149..a4cf2538 100644 --- a/docs/html/userhtmlsu54.html +++ b/docs/html/userhtmlsu54.html @@ -10,7 +10,7 @@ -

                                                                      [

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                                                                      call psb_sp_getrow(row, a, nz, ia, ja, val, info, &               & append, nzin, lrw) -

                                                                      -

                                                                      +

                                                                      +

                                                                      Type:
                                                                      row. -

                                                                      +

                                                                      On Return
                                                                      required
                                                                      Intent: out.
                                                                      An integer value; 0 means no error has been detected.
                                                                      -

                                                                      Notes

                                                                      1. psb_loc_to_glob routine on the output.
                                                                        2. -

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                                                                        -

                                                                        diff --git a/docs/html/userhtmlsu55.html b/docs/html/userhtmlsu55.html index 0a612d50..0b438e9c 100644 --- a/docs/html/userhtmlsu55.html +++ b/docs/html/userhtmlsu55.html @@ -10,7 +10,7 @@ -

                                                                        [

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                                                                        6.26 psb_sizeof — Memory occupation

                                                                        -

                                                                        This function computes the memory occupation of a PSBLAS object. +

                                                                        This function computes the memory occupation of a PSBLAS object. @@ -27,8 +27,8 @@ isz = psb_sizeof(a) isz = psb_sizeof(desc_a) isz = psb_sizeof(prec) -

                                                                        -

                                                                        +

                                                                        +

                                                                        Type:
                                                                        integer(psb_long_int_k_) number.
                                                                        -

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                                                                        -

                                                                        diff --git a/docs/html/userhtmlsu56.html b/docs/html/userhtmlsu56.html index afd46917..26ab17eb 100644 --- a/docs/html/userhtmlsu56.html +++ b/docs/html/userhtmlsu56.html @@ -10,20 +10,20 @@ -

                                                                        [

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                                                                        6.27 Sorting utilities —

                                                                        -

                                                                        psb_msort — Sorting by the Merge-sort algorithm -

                                                                        psb_qsort — Sorting by the Quicksort algorithm -

                                                                        psb_hsort — Sorting by the Heapsort algorithm @@ -34,8 +34,8 @@ call psb_msort(x,ix,dir,flag) call psb_qsort(x,ix,dir,flag) call psb_hsort(x,ix,dir,flag) -

                                                                        -

                                                                        These serial routines sort a sequence

                                                                        +

                                                                        These serial routines sort a sequence X into ascending or descending order. The argument meaning is identical for the three calls; the only difference is the algorithm used to accomplish the task (see Usage Notes below). @@ -102,7 +102,7 @@ class="cmtt-10">psb_sort_keep_idx_; default psb_sort_ovw_idx_.

                                                                      -

                                                                      +

                                                                      On Return
                                                                      Optional
                                                                      An integer array of rank 1, whose entries are moved to the same position as the corresponding entries in x.
                                                                      -

                                                                      Notes

                                                                      1. Error code.
                                                                        Type: required
                                                                        An integer value; 0 means no error has been detected. +

                                                                        Notes +

                                                                        If this function is called on a vector v on a distributed communicator only the +local part is written in output. To get a single MatrixMarket file with the whole +vector when appropriate, e.g. for debugging purposes, one could gather the whole +vector on a single rank and then write it. Consider the following example for a double +precision vector +

                                                                        +

                                                                        +

                                                                        +real(psb_dpk_), allocatable :: vglobal(:)
+call psb_gather(vglobal,v,desc,info)
+if (iam == psb_root_) then
+call mm_array_write(vglobal,vtitle,info,filename)
+end if
+call deallocate(vglobal, stat=info)
+
                                                                        +

                                                                        +

                                                                        To simplify this procedure in C, there is a utility function +

                                                                        +

                                                                        +

                                                                        +psb_i_t psb_c_<s,d,c,z>global_vec_write(vh,cdh);
+
                                                                        +

                                                                        +

                                                                        that produces exactly this result. diff --git a/docs/html/userhtmlsu84.html b/docs/html/userhtmlsu84.html index 62b02748..1d11ee20 100644 --- a/docs/html/userhtmlsu84.html +++ b/docs/html/userhtmlsu84.html @@ -19,7 +19,7 @@ href="userhtmlsu86.html#userhtmlsu87.html" >up]

                                                                      - 
                                                                      +   
                                                                       call prec%init(icontxt,ptype, info)
 
                                                                      
 
                                                                      
diff --git a/docs/html/userhtmlsu85.html b/docs/html/userhtmlsu85.html
index 4722c8a9..11f1d918 100644
--- a/docs/html/userhtmlsu85.html
+++ b/docs/html/userhtmlsu85.html
@@ -21,7 +21,7 @@ href="userhtmlsu86.html#userhtmlsu89.html" >up]
                                                                      - 
                                                                      +   
                                                                       call prec%build(a, desc_a, info[,amold,vmold,imold])
 
                                                                      
 
                                                                      
diff --git a/docs/html/userhtmlsu86.html b/docs/html/userhtmlsu86.html
index 0c95a467..c5b9290d 100644
--- a/docs/html/userhtmlsu86.html
+++ b/docs/html/userhtmlsu86.html
@@ -21,7 +21,7 @@ href="userhtmlsu86.html#userhtmlse11.html" >up]
                                                                    - 
                                                                    +   
                                                                     call prec%apply(x,y,desc_a,info,trans,work)
 call prec%apply(x,desc_a,info,trans)
 
                                                                    
diff --git a/docs/html/userhtmlsu87.html b/docs/html/userhtmlsu87.html
index f01712c8..9f1267c1 100644
--- a/docs/html/userhtmlsu87.html
+++ b/docs/html/userhtmlsu87.html
@@ -21,7 +21,7 @@ href="userhtmlsu86.html#userhtmlsu90.html" >up]
                                                                    - 
                                                                    +   
                                                                     call prec%descr(info)
 call prec%descr(info,iout, root)
 
                                                                    
diff --git a/docs/html/userhtmlsu88.html b/docs/html/userhtmlsu88.html
index 1eee47e7..820fa752 100644
--- a/docs/html/userhtmlsu88.html
+++ b/docs/html/userhtmlsu88.html
@@ -20,7 +20,7 @@ href="userhtmlsu86.html#userhtmlli2.html" >up]
                                                                  - 
                                                                  +   
                                                                   call  prec%clone(precout,info)
 
                                                                  
 
                                                                  
diff --git a/docs/html/userhtmlsu89.html b/docs/html/userhtmlsu89.html
index a5193184..8149e2e8 100644
--- a/docs/html/userhtmlsu89.html
+++ b/docs/html/userhtmlsu89.html
@@ -20,7 +20,7 @@ href="userhtmlsu86.html# " >up]
                                                                  - 
                                                                  +   
                                                                   call prec%free(info)
 
                                                                  
 
                                                                  
diff --git a/docs/src/Makefile b/docs/src/Makefile
index 198d2321..e6ee0c5e 100644
--- a/docs/src/Makefile
+++ b/docs/src/Makefile
@@ -139,7 +139,7 @@ PDF      = $(join $(BASEFILE),.pdf)
 PS       = $(join $(BASEFILE),.ps)
 GXS      = $(join $(BASEFILE),.gxs)
 GLX      = $(join $(BASEFILE),.glx)
-TARGETPDF= ../psblas-3.7.pdf
+TARGETPDF= ../psblas-3.8.pdf
 BASEHTML = $(patsubst %.tex,%,$(HTMLFILE))
 HTML     = $(join $(BASEHTML),.html)
 HTMLDIR  = ../html
diff --git a/docs/src/toolsrout.tex b/docs/src/toolsrout.tex
index 5c1a6c8f..191aff7f 100644
--- a/docs/src/toolsrout.tex
+++ b/docs/src/toolsrout.tex
@@ -601,7 +601,7 @@ An integer value; 0 means no error has been detected.
   the assembled matrix may substantially improve performance in the
   matrix build phase, as it will reduce or eliminate the need for
   (potentially multiple) data reallocations;
-\item Using \verb|psb_matbld_remote_| will cause an overhead at
+\item Using \verb|psb_matbld_remote_| is likely to cause  a runtime  overhead at
   assembly time;
 \end{enumerate}
 
@@ -712,8 +712,7 @@ An integer value; 0 means no error has been detected.
 \item The input data can be passed in either COO or CSR formats;
 \item In COO format the coefficients to be inserted are represented by
   the ordered   triples $ia(i),ja(i),val(i)$, for $i=1,\dots,nz$;
-  these triples  should belong to the current process, i.e. $ia(i)$
-  should be one of  the local indices, but are otherwise arbitrary;
+  these triples are arbitrary;
 \item In CSR format the coefficients to be inserted for each input row $i=1,nr$
   are represented by the ordered triples $(i+irw-1),ja(j),val(j)$, for
   $j=irp(i),\dots,irp(i+1)-1$; 
@@ -724,8 +723,11 @@ An integer value; 0 means no error has been detected.
   may be split into   as many calls as desired (even in the CSR format); 
 \item Coefficients from different rows may also be mixed up freely
   in a single call, according to the application needs; 
-\item Any coefficients from matrix rows not owned by the calling
-  process are silently ignored;
+\item Coefficients from matrix rows not owned by the calling
+  process are treated according to the value of \verb|buildmode|
+  specified at allocation time; if 
+  \verb|buildmode| was chosen as \verb|psb_matbld_remote_| the library
+  will keep track of them, otherwise they are   silently ignored;
 \item If the descriptor is in the assembled state, then any entries in
   the sparse matrix that would generate additional communication
   requirements are  ignored; 
@@ -739,7 +741,7 @@ An integer value; 0 means no error has been detected.
 \clearpage\subsection{psb\_spasb --- Sparse matrix assembly routine}
 
 \begin{verbatim}
-call psb_spasb(a, desc_a, info, afmt, upd,  mold)
+call psb_spasb(a, desc_a, info [, afmt, upd,  mold])
 \end{verbatim}
 
 \begin{description}
@@ -808,8 +810,9 @@ An integer value; 0 means no error has been detected.
   at allocation time, contributions defined on the current process but
   belonging to a remote process will be handled accordingly. This is
   most likely to occur in finite element applications, with
-  \verb|dupl=psb_dupl_add_|; note that the descriptor will be updated,
-  and there will be a runtime overhead. 
+  \verb|dupl=psb_dupl_add_|; it is necessary to check for possible
+  updates needed in the descriptor, hence there will be a runtime
+  overhead.  
 \end{enumerate}
 
 
@@ -1007,7 +1010,7 @@ Scope: {\bf global}.\\
 Type: {\bf optional}.\\
 Intent: {\bf in}.\\
 Specified as: integer, possible values: \verb|psb_dupl_ovwrt_|,
-\verb|psb_dupl_add_|, \verb|psb_dupl_err_|.
+\verb|psb_dupl_add_|; \verb|psb_dupl_err_| has no effect.
 \item[buildmode] Whether to keep track of matrix entries that do not
   belong to the current process.\\ 
 Scope: {\bf global}.\\
@@ -1032,6 +1035,11 @@ Intent: {\bf out}.\\
 An integer value; 0 means no error has been detected. 
 \end{description}
 
+{\par\noindent\large\bfseries Notes}
+\begin{enumerate}
+\item Using \verb|psb_matbld_remote_| is likely to cause  a runtime  overhead at
+  assembly time;
+\end{enumerate}
 
 %
 %%   psb_ins %%
@@ -1140,7 +1148,22 @@ Type: {\bf required} \\
 Intent: {\bf out}.\\
 An integer value; 0 means no error has been detected. 
 \end{description}
+
+
+{\par\noindent\large\bfseries Notes}
+\begin{enumerate}
+\item On entry to this routine the descriptor must  be in  the
+  assembled state, i.e. \verb|psb_cdasb| must already have been called.
+\item If the \verb|buildmode=psb_matbld_remote_| value was specified
+  at allocation time, contributions defined on the current process but
+  belonging to a remote process will be handled accordingly. This is
+  most likely to occur in finite element applications, with
+  \verb|dupl=psb_dupl_add_|.
+\end{enumerate}
+
+
 %
+
 %%   psb_free %%
 %
 \clearpage\subsection{psb\_gefree --- Frees a dense matrix}
diff --git a/docs/src/userguide.tex b/docs/src/userguide.tex
index c9e67456..9d4e1814 100644
--- a/docs/src/userguide.tex
+++ b/docs/src/userguide.tex
@@ -36,7 +36,7 @@
 \relax
 \pdfcompresslevel=0             %-- 0 = none, 9 = best
 \pdfinfo{                       %-- Info dictionary of PDF output  /Author (Alfredo Buttari)
-  /Title (Parallel Sparse BLAS V. 3.7.0)
+  /Title (Parallel Sparse BLAS V. 3.8.0)
   /Subject (Parallel Sparse Basic Linear Algebra Subroutines)
   /Keywords (Computer Science Linear Algebra Fluid Dynamics Parallel Linux MPI PSBLAS Iterative Solvers Preconditioners)
   /Creator (pdfLaTeX)
@@ -99,7 +99,7 @@
 
 \begin{document}
 {
-\pdfbookmark{PSBLAS-v3.7.0 User's Guide}{title}
+\pdfbookmark{PSBLAS-v3.8.0 User's Guide}{title}
 \lstset{language=Fortran}
 \newlength{\centeroffset}
 \setlength{\centeroffset}{-0.5\oddsidemargin}
@@ -109,7 +109,7 @@
 \vspace*{\stretch{1}}
 \noindent\hspace*{\centeroffset}\makebox[0pt][l]{\begin{minipage}{\textwidth}
 \flushright
-{\Huge\bfseries PSBLAS 3.7.0.2 User's guide
+{\Huge\bfseries PSBLAS 3.8.0 User's guide
 }
 \noindent\rule[-1ex]{\textwidth}{5pt}\\[2.5ex]
 \hfill\emph{\Large A reference guide for the Parallel Sparse BLAS library}
@@ -130,7 +130,7 @@
 {\bfseries 
 by Salvatore Filippone\\
 and Alfredo Buttari}\\ 
-Feb 14th, 2022
+May 1st, 2022
 \end{minipage}}
 }
 %\addtolength{\textwidth}{\centeroffset}
diff --git a/docs/src/userhtml.tex b/docs/src/userhtml.tex
index 1d83d934..5dc0e6cf 100644
--- a/docs/src/userhtml.tex
+++ b/docs/src/userhtml.tex
@@ -94,9 +94,9 @@
    Alfredo Buttari } \\
 %\\[10ex]
 %\today
-Software version: 3.7.0.1\\
+Software version: 3.8.0\\
 %\today
-Feb 14th, 2022
+May 1st, 2022
 \cleardoublepage
 \begingroup
   \renewcommand*{\thepage}{toc}