From 462f1d098cac86391058885cd116487661c866d0 Mon Sep 17 00:00:00 2001 From: Salvatore Filippone Date: Sun, 15 Apr 2018 16:56:58 +0100 Subject: [PATCH 1/7] Modified internals to have tmp_ovrlap in local numbering. Also simplified crea_index taking out isglob argument. Fixed bldext, cdall & friends accordingly. --- base/internals/Makefile | 2 +- base/internals/psi_crea_index.f90 | 9 +--- base/internals/psi_crea_ovr_elem.f90 | 4 -- base/internals/psi_desc_impl.f90 | 8 +-- base/internals/psi_desc_index.F90 | 43 ++++++---------- base/internals/psi_exist_ovr_elem.f90 | 73 --------------------------- base/modules/desc/psb_desc_mod.F90 | 32 ++++-------- base/modules/psi_i_mod.f90 | 6 +-- base/tools/psb_ccdbldext.F90 | 29 +++-------- base/tools/psb_cd_inloc.f90 | 16 ++++++ base/tools/psb_cd_reinit.f90 | 6 +-- base/tools/psb_cdals.f90 | 16 +++++- base/tools/psb_dcdbldext.F90 | 29 +++-------- base/tools/psb_scdbldext.F90 | 29 +++-------- base/tools/psb_zcdbldext.F90 | 29 +++-------- test/pargen/runs/ppde.inp | 4 +- 16 files changed, 94 insertions(+), 241 deletions(-) delete mode 100644 base/internals/psi_exist_ovr_elem.f90 diff --git a/base/internals/Makefile b/base/internals/Makefile index de55e4b1..471fc383 100644 --- a/base/internals/Makefile +++ b/base/internals/Makefile @@ -3,7 +3,7 @@ include ../../Make.inc FOBJS = psi_compute_size.o psi_crea_bnd_elem.o psi_crea_index.o \ psi_crea_ovr_elem.o psi_bld_tmpovrl.o psi_dl_check.o \ psi_bld_tmphalo.o psi_sort_dl.o \ - psi_desc_impl.o psi_exist_ovr_elem.o psi_list_search.o psi_srtlist.o + psi_desc_impl.o psi_list_search.o psi_srtlist.o MPFOBJS = psi_desc_index.o psi_extrct_dl.o \ psi_fnd_owner.o psb_indx_map_fnd_owner.o diff --git a/base/internals/psi_crea_index.f90 b/base/internals/psi_crea_index.f90 index 7025413f..6c88ae2d 100644 --- a/base/internals/psi_crea_index.f90 +++ b/base/internals/psi_crea_index.f90 @@ -44,16 +44,12 @@ ! mapping parts are used. ! index_in(:) - integer The index list, build format ! index_out(:) - integer(psb_ipk_), allocatable The index list, assembled format -! glob_idx - logical Whether the input indices are in local or global -! numbering; the global numbering is used when -! converting the overlap exchange lists. ! nxch - integer The number of data exchanges on the calling process ! nsnd - integer Total send buffer size on the calling process ! nrcv - integer Total receive buffer size on the calling process ! ! -subroutine psi_crea_index(desc_a,index_in,index_out,glob_idx,nxch,nsnd,nrcv,info) - +subroutine psi_crea_index(desc_a,index_in,index_out,nxch,nsnd,nrcv,info) use psb_realloc_mod use psb_desc_mod use psb_error_mod @@ -65,7 +61,6 @@ subroutine psi_crea_index(desc_a,index_in,index_out,glob_idx,nxch,nsnd,nrcv,info integer(psb_ipk_), intent(out) :: info,nxch,nsnd,nrcv integer(psb_ipk_), intent(in) :: index_in(:) integer(psb_ipk_), allocatable, intent(inout) :: index_out(:) - logical :: glob_idx ! ....local scalars... integer(psb_ipk_) :: ictxt, me, np, mode, err_act, dl_lda @@ -135,7 +130,7 @@ subroutine psi_crea_index(desc_a,index_in,index_out,glob_idx,nxch,nsnd,nrcv,info & write(debug_unit,*) me,' ',trim(name),': calling psi_desc_index' ! Do the actual format conversion. call psi_desc_index(desc_a,index_in,dep_list(1:,me),& - & length_dl(me),nsnd,nrcv, index_out,glob_idx,info) + & length_dl(me),nsnd,nrcv, index_out,info) if(debug_level >= psb_debug_inner_) & & write(debug_unit,*) me,' ',trim(name),': out of psi_desc_index',& & size(index_out) diff --git a/base/internals/psi_crea_ovr_elem.f90 b/base/internals/psi_crea_ovr_elem.f90 index 13bf8af1..9fd69247 100644 --- a/base/internals/psi_crea_ovr_elem.f90 +++ b/base/internals/psi_crea_ovr_elem.f90 @@ -61,10 +61,6 @@ subroutine psi_crea_ovr_elem(me,desc_overlap,ovr_elem,info) integer(psb_ipk_) :: dim_ovr_elem integer(psb_ipk_) :: pairtree(2) - ! ...external function... - integer(psb_ipk_) :: psi_exist_ovr_elem - external :: psi_exist_ovr_elem - integer(psb_ipk_) :: nel, ip, ix, iel, insize, err_act, iproc integer(psb_ipk_), allocatable :: telem(:,:) diff --git a/base/internals/psi_desc_impl.f90 b/base/internals/psi_desc_impl.f90 index 8ab3bd0f..977af721 100644 --- a/base/internals/psi_desc_impl.f90 +++ b/base/internals/psi_desc_impl.f90 @@ -102,7 +102,7 @@ subroutine psi_cnv_dsc(halo_in,ovrlap_in,ext_in,cdesc, info, mold) ! first the halo index if (debug_level>0) write(debug_unit,*) me,'Calling crea_index on halo',& & size(halo_in) - call psi_crea_index(cdesc,halo_in, idx_out,.false.,nxch,nsnd,nrcv,info) + call psi_crea_index(cdesc,halo_in, idx_out,nxch,nsnd,nrcv,info) if (info /= psb_success_) then call psb_errpush(psb_err_from_subroutine_,name,a_err='psi_crea_index') goto 9999 @@ -115,7 +115,7 @@ subroutine psi_cnv_dsc(halo_in,ovrlap_in,ext_in,cdesc, info, mold) ! then ext index if (debug_level>0) write(debug_unit,*) me,'Calling crea_index on ext' - call psi_crea_index(cdesc,ext_in, idx_out,.false.,nxch,nsnd,nrcv,info) + call psi_crea_index(cdesc,ext_in, idx_out,nxch,nsnd,nrcv,info) if (info /= psb_success_) then call psb_errpush(psb_err_from_subroutine_,name,a_err='psi_crea_index') goto 9999 @@ -126,7 +126,7 @@ subroutine psi_cnv_dsc(halo_in,ovrlap_in,ext_in,cdesc, info, mold) if (debug_level>0) write(debug_unit,*) me,'Calling crea_index on ovrlap' ! then the overlap index - call psi_crea_index(cdesc,ovrlap_in, idx_out,.true.,nxch,nsnd,nrcv,info) + call psi_crea_index(cdesc,ovrlap_in, idx_out,nxch,nsnd,nrcv,info) if (info /= psb_success_) then call psb_errpush(psb_err_from_subroutine_,name,a_err='psi_crea_index') goto 9999 @@ -150,7 +150,7 @@ subroutine psi_cnv_dsc(halo_in,ovrlap_in,ext_in,cdesc, info, mold) if (debug_level>0) write(debug_unit,*) me,'Calling bld_ovr_mst' call psi_bld_ovr_mst(me,cdesc%ovrlap_elem,tmp_mst_idx,info) if (info == psb_success_) call psi_crea_index(cdesc,& - & tmp_mst_idx,idx_out,.false.,nxch,nsnd,nrcv,info) + & tmp_mst_idx,idx_out,nxch,nsnd,nrcv,info) if (debug_level>0) write(debug_unit,*) me,'Done crea_indx' if (info /= psb_success_) then call psb_errpush(psb_err_from_subroutine_,name,a_err='psi_bld_ovr_mst') diff --git a/base/internals/psi_desc_index.F90 b/base/internals/psi_desc_index.F90 index 386b89af..e5a890f4 100644 --- a/base/internals/psi_desc_index.F90 +++ b/base/internals/psi_desc_index.F90 @@ -38,16 +38,13 @@ ! See below for a description of the formats. ! ! Arguments: -! desc_a - type(psb_desc_type) The descriptor; in this context only the index -! mapping parts are used. -! index_in(:) - integer The index list, build format +! desc_a - type(psb_desc_type) The descriptor; in this context only the index +! mapping parts are used. +! index_in(:) - integer The index list, build format ! index_out(:) - integer(psb_ipk_), allocatable The index list, assembled format -! glob_idx - logical Whether the input indices are in local or global -! numbering; the global numbering is used when -! converting the overlap exchange lists. -! nxch - integer The number of data exchanges on the calling process -! nsnd - integer Total send buffer size on the calling process -! nrcv - integer Total receive buffer size on the calling process +! nxch - integer The number of data exchanges on the calling process +! nsnd - integer Total send buffer size on the calling process +! nrcv - integer Total receive buffer size on the calling process ! ! The format of the index lists. Copied from base/modules/psb_desc_type ! @@ -99,7 +96,7 @@ ! ! subroutine psi_desc_index(desc,index_in,dep_list,& - & length_dl,nsnd,nrcv,desc_index,isglob_in,info) + & length_dl,nsnd,nrcv,desc_index,info) use psb_desc_mod use psb_realloc_mod use psb_error_mod @@ -119,7 +116,6 @@ subroutine psi_desc_index(desc,index_in,dep_list,& integer(psb_ipk_) :: index_in(:),dep_list(:) integer(psb_ipk_),allocatable :: desc_index(:) integer(psb_ipk_) :: length_dl,nsnd,nrcv,info - logical :: isglob_in ! ....local scalars... integer(psb_ipk_) :: j,me,np,i,proc ! ...parameters... @@ -255,22 +251,15 @@ subroutine psi_desc_index(desc,index_in,dep_list,& ! ! note that here bsdinx is zero-based, hence the following loop ! - if (isglob_in) then - do j=1, nerv - sndbuf(bsdindx(proc+1)+j) = (index_in(i+j)) - end do - else - - call desc%indxmap%l2g(index_in(i+1:i+nerv),& - & sndbuf(bsdindx(proc+1)+1:bsdindx(proc+1)+nerv),& - & info) - - if (info /= psb_success_) then - call psb_errpush(psb_err_from_subroutine_,name,a_err='l2g') - goto 9999 - end if - - endif + call desc%indxmap%l2g(index_in(i+1:i+nerv),& + & sndbuf(bsdindx(proc+1)+1:bsdindx(proc+1)+nerv),& + & info) + + if (info /= psb_success_) then + call psb_errpush(psb_err_from_subroutine_,name,a_err='l2g') + goto 9999 + end if + bsdindx(proc+1) = bsdindx(proc+1) + nerv i = i + nerv + 1 end do diff --git a/base/internals/psi_exist_ovr_elem.f90 b/base/internals/psi_exist_ovr_elem.f90 deleted file mode 100644 index cd7d4712..00000000 --- a/base/internals/psi_exist_ovr_elem.f90 +++ /dev/null @@ -1,73 +0,0 @@ -! -! Parallel Sparse BLAS version 3.5 -! (C) Copyright 2006, 2010, 2015, 2017 -! Salvatore Filippone -! Alfredo Buttari CNRS-IRIT, Toulouse -! -! 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. -! -! -integer function psi_exist_ovr_elem(ovr_elem, dim_list,elem_searched) - use psb_const_mod - ! PURPOSE: - ! == = ==== - ! - ! If ELEM_SEARCHED exist in the list OVR_ELEM returns its position in - ! the list, else returns -1 - ! - ! - ! INPUT - ! == = === - ! OVRLAP_ELEMENT_D.: Contains for all overlap points belonging to - ! the current process: - ! 1. overlap point index - ! 2. Number of domains sharing that overlap point - ! the end is marked by a -1............................... - ! - ! DIM_LIST..........: Dimension of list OVRLAP_ELEMENT_D - ! - ! ELEM_SEARCHED.....:point's Local index identifier to be searched. - - implicit none - - ! ....Scalars parameters.... - integer(psb_ipk_) :: dim_list,elem_searched - ! ...array parameters.... - integer(psb_ipk_) :: ovr_elem(dim_list,*) - - ! ...local scalars.... - integer(psb_ipk_) :: i - - i=1 - do while ((i.le.dim_list).and.(ovr_elem(i,1).ne.elem_searched)) - i=i+1 - enddo - if ((i.le.dim_list).and.(ovr_elem(i,1).eq.elem_searched)) then - psi_exist_ovr_elem=i - else - psi_exist_ovr_elem=-1 - endif -end function psi_exist_ovr_elem - diff --git a/base/modules/desc/psb_desc_mod.F90 b/base/modules/desc/psb_desc_mod.F90 index 5d5b22a7..724b9114 100644 --- a/base/modules/desc/psb_desc_mod.F90 +++ b/base/modules/desc/psb_desc_mod.F90 @@ -1,4 +1,4 @@ -! + ! Parallel Sparse BLAS version 3.5 ! (C) Copyright 2006-2018 ! Salvatore Filippone @@ -142,9 +142,9 @@ module psb_desc_mod ! psb_ovrl subroutine. ! ! 8. When the descriptor is in the BLD state the INDEX vectors contains only - ! the indices to be received, organized as a sequence - ! of entries of the form (proc,N,(lx1,lx2,...,lxn)) with owning process, - ! number of indices (most often but not necessarily N=1), list of local indices. + ! the indices to be received, organized as a sequence of entries of + ! the form (proc,N,(lx1,lx2,...,lxn)) with owning process, number of indices + ! (most often but not necessarily N=1), list of local indices. ! This is because we only know the list of halo indices to be received ! as we go about building the sparse matrix pattern, and we want the build ! phase to be loosely synchronized. Thus we record the indices we have to ask @@ -1072,7 +1072,7 @@ contains end subroutine psb_cd_clone - Subroutine psb_cd_get_recv_idx(tmp,desc,data,info,toglob) + Subroutine psb_cd_get_recv_idx(tmp,desc,data,info) use psb_error_mod use psb_penv_mod @@ -1082,7 +1082,6 @@ contains integer(psb_ipk_), intent(in) :: data Type(psb_desc_type), Intent(in), target :: desc integer(psb_ipk_), intent(out) :: info - logical, intent(in) :: toglob ! .. Local Scalars .. integer(psb_ipk_) :: incnt, outcnt, j, np, me, ictxt, l_tmp,& @@ -1141,23 +1140,10 @@ contains call psb_errpush(info,name,a_err='psb_ensure_size') goto 9999 end if - if (toglob) then - call desc%indxmap%l2g(idx,gidx,info) - If (gidx < 0) then - info=-3 - call psb_errpush(info,name) - goto 9999 - endif - tmp(outcnt) = proc - tmp(outcnt+1) = 1 - tmp(outcnt+2) = gidx - tmp(outcnt+3) = -1 - else - tmp(outcnt) = proc - tmp(outcnt+1) = 1 - tmp(outcnt+2) = idx - tmp(outcnt+3) = -1 - end if + tmp(outcnt) = proc + tmp(outcnt+1) = 1 + tmp(outcnt+2) = idx + tmp(outcnt+3) = -1 outcnt = outcnt+3 end Do incnt = incnt+n_elem_recv+n_elem_send+3 diff --git a/base/modules/psi_i_mod.f90 b/base/modules/psi_i_mod.f90 index 76d73726..c6e65f26 100644 --- a/base/modules/psi_i_mod.f90 +++ b/base/modules/psi_i_mod.f90 @@ -53,13 +53,12 @@ module psi_i_mod end interface interface - subroutine psi_crea_index(desc_a,index_in,index_out,glob_idx,nxch,nsnd,nrcv,info) + subroutine psi_crea_index(desc_a,index_in,index_out,nxch,nsnd,nrcv,info) import type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info,nxch,nsnd,nrcv integer(psb_ipk_), intent(in) :: index_in(:) integer(psb_ipk_), allocatable, intent(inout) :: index_out(:) - logical :: glob_idx end subroutine psi_crea_index end interface @@ -74,13 +73,12 @@ module psi_i_mod interface subroutine psi_desc_index(desc,index_in,dep_list,& - & length_dl,nsnd,nrcv,desc_index,isglob_in,info) + & length_dl,nsnd,nrcv,desc_index,info) import type(psb_desc_type) :: desc integer(psb_ipk_) :: index_in(:),dep_list(:) integer(psb_ipk_),allocatable :: desc_index(:) integer(psb_ipk_) :: length_dl,nsnd,nrcv,info - logical :: isglob_in end subroutine psi_desc_index end interface diff --git a/base/tools/psb_ccdbldext.F90 b/base/tools/psb_ccdbldext.F90 index 0792222e..705e82af 100644 --- a/base/tools/psb_ccdbldext.F90 +++ b/base/tools/psb_ccdbldext.F90 @@ -84,7 +84,8 @@ Subroutine psb_ccdbldext(a,desc_a,novr,desc_ov,info, extype) integer(psb_ipk_) :: i, j, err_act,m,& & lovr, lworks,lworkr, n_row,n_col, n_col_prev, & & index_dim,elem_dim, l_tmp_ovr_idx,l_tmp_halo, nztot,nhalo - integer(psb_ipk_) :: counter,counter_h, counter_o, counter_e,idx,gidx,proc,n_elem_recv,& + integer(psb_ipk_) :: counter,counter_h, counter_o, counter_e,& + & idx,proc,n_elem_recv,& & n_elem_send,tot_recv,tot_elem,cntov_o,& & counter_t,n_elem,i_ovr,jj,proc_id,isz, & & idxr, idxs, iszr, iszs, nxch, nsnd, nrcv,lidx, extype_ @@ -255,12 +256,6 @@ Subroutine psb_ccdbldext(a,desc_a,novr,desc_ov,info, extype) Do j=0,n_elem_recv-1 idx = ovrlap(counter+psb_elem_recv_+j) - call desc_ov%indxmap%l2g(idx,gidx,info) - If (gidx < 0) then - info=-3 - call psb_errpush(info,name) - goto 9999 - endif call psb_ensure_size((cntov_o+3),orig_ovr,info,pad=-ione) if (info /= psb_success_) then info=psb_err_from_subroutine_ @@ -269,7 +264,7 @@ Subroutine psb_ccdbldext(a,desc_a,novr,desc_ov,info, extype) end if orig_ovr(cntov_o)=proc orig_ovr(cntov_o+1)=1 - orig_ovr(cntov_o+2)=gidx + orig_ovr(cntov_o+2)=idx orig_ovr(cntov_o+3)=-1 cntov_o=cntov_o+3 end Do @@ -356,12 +351,6 @@ Subroutine psb_ccdbldext(a,desc_a,novr,desc_ov,info, extype) end If idx = halo(counter+psb_elem_recv_+j) - call desc_ov%l2g(idx,gidx,info) - If (gidx < 0) then - info=-3 - call psb_errpush(info,name) - goto 9999 - endif call psb_ensure_size((counter_o+3),tmp_ovr_idx,info,pad=-ione) if (info /= psb_success_) then info=psb_err_from_subroutine_ @@ -371,7 +360,7 @@ Subroutine psb_ccdbldext(a,desc_a,novr,desc_ov,info, extype) tmp_ovr_idx(counter_o) = proc tmp_ovr_idx(counter_o+1) = 1 - tmp_ovr_idx(counter_o+2) = gidx + tmp_ovr_idx(counter_o+2) = idx tmp_ovr_idx(counter_o+3) = -1 counter_o=counter_o+3 call psb_ensure_size((counter_h+3),tmp_halo,info,pad=-ione) @@ -400,12 +389,6 @@ Subroutine psb_ccdbldext(a,desc_a,novr,desc_ov,info, extype) Do j=0,n_elem_send-1 idx = halo(counter+psb_elem_send_+j) - call desc_ov%l2g(idx,gidx,info) - If (gidx < 0) then - info=-3 - call psb_errpush(info,name) - goto 9999 - endif call psb_ensure_size((counter_o+3),tmp_ovr_idx,info,pad=-ione) if (info /= psb_success_) then info=psb_err_from_subroutine_ @@ -415,7 +398,7 @@ Subroutine psb_ccdbldext(a,desc_a,novr,desc_ov,info, extype) tmp_ovr_idx(counter_o) = proc tmp_ovr_idx(counter_o+1) = 1 - tmp_ovr_idx(counter_o+2) = gidx + tmp_ovr_idx(counter_o+2) = idx tmp_ovr_idx(counter_o+3) = -1 counter_o=counter_o+3 @@ -599,7 +582,7 @@ Subroutine psb_ccdbldext(a,desc_a,novr,desc_ov,info, extype) write(debug_unit,*) me,' ',trim(name),':Calling Crea_index' end if - call psi_crea_index(desc_ov,t_halo_in,t_halo_out,.false.,& + call psi_crea_index(desc_ov,t_halo_in,t_halo_out,& & nxch,nsnd,nrcv,info) if (debug_level >= psb_debug_outer_) then diff --git a/base/tools/psb_cd_inloc.f90 b/base/tools/psb_cd_inloc.f90 index 0310a7d9..1b31fe2e 100644 --- a/base/tools/psb_cd_inloc.f90 +++ b/base/tools/psb_cd_inloc.f90 @@ -369,6 +369,22 @@ subroutine psb_cd_inloc(v, ictxt, desc, info, globalcheck,idx) call aa%init(iictxt,vl(1:nlu),info) end select + + ! + ! Now that we have initialized indxmap we can convert the + ! indices to local numbering. + ! + block + integer(psb_ipk_) :: i,nprocs + i = 1 + do while (temp_ovrlap(i) /= -1) + call desc%indxmap%g2lip(temp_ovrlap(i),info) + i = i + 1 + nprocs = temp_ovrlap(i) + i = i + 1 + i = i + nprocs + enddo + end block call psi_bld_tmpovrl(temp_ovrlap,desc,info) if (info == psb_success_) deallocate(temp_ovrlap,vl,ix,stat=info) diff --git a/base/tools/psb_cd_reinit.f90 b/base/tools/psb_cd_reinit.f90 index f790218a..d579ba95 100644 --- a/base/tools/psb_cd_reinit.f90 +++ b/base/tools/psb_cd_reinit.f90 @@ -61,9 +61,9 @@ Subroutine psb_cd_reinit(desc,info) if (debug_level >= psb_debug_outer_) & & write(debug_unit,*) me,' ',trim(name),': start' if (desc%is_asb()) then - call psb_cd_get_recv_idx(tmp_ovr,desc,psb_comm_ovr_,info,toglob=.true.) - call psb_cd_get_recv_idx(tmp_halo,desc,psb_comm_halo_,info,toglob=.false.) - call psb_cd_get_recv_idx(tmp_ext,desc,psb_comm_ext_,info,toglob=.false.) + call psb_cd_get_recv_idx(tmp_ovr,desc,psb_comm_ovr_,info) + call psb_cd_get_recv_idx(tmp_halo,desc,psb_comm_halo_,info) + call psb_cd_get_recv_idx(tmp_ext,desc,psb_comm_ext_,info) call psb_move_alloc(tmp_ovr,desc%ovrlap_index,info) call psb_move_alloc(tmp_halo,desc%halo_index,info) diff --git a/base/tools/psb_cdals.f90 b/base/tools/psb_cdals.f90 index 4c7131c7..e141a427 100644 --- a/base/tools/psb_cdals.f90 +++ b/base/tools/psb_cdals.f90 @@ -267,7 +267,21 @@ subroutine psb_cdals(m, n, parts, ictxt, desc, info) if (debug_level >= psb_debug_ext_) & & write(debug_unit,*) me,' ',trim(name),': error check:' ,err - + ! + ! Now that we have initialized indxmap we can convert the + ! indices to local numbering. + ! + block + integer(psb_ipk_) :: i,nprocs + i = 1 + do while (temp_ovrlap(i) /= -1) + call desc%indxmap%g2lip(temp_ovrlap(i),info) + i = i + 1 + nprocs = temp_ovrlap(i) + i = i + 1 + i = i + nprocs + enddo + end block call psi_bld_tmpovrl(temp_ovrlap,desc,info) if (info == psb_success_) deallocate(prc_v,temp_ovrlap,stat=info) diff --git a/base/tools/psb_dcdbldext.F90 b/base/tools/psb_dcdbldext.F90 index 14aa6976..99610cc3 100644 --- a/base/tools/psb_dcdbldext.F90 +++ b/base/tools/psb_dcdbldext.F90 @@ -84,7 +84,8 @@ Subroutine psb_dcdbldext(a,desc_a,novr,desc_ov,info, extype) integer(psb_ipk_) :: i, j, err_act,m,& & lovr, lworks,lworkr, n_row,n_col, n_col_prev, & & index_dim,elem_dim, l_tmp_ovr_idx,l_tmp_halo, nztot,nhalo - integer(psb_ipk_) :: counter,counter_h, counter_o, counter_e,idx,gidx,proc,n_elem_recv,& + integer(psb_ipk_) :: counter,counter_h, counter_o, counter_e,& + & idx,proc,n_elem_recv,& & n_elem_send,tot_recv,tot_elem,cntov_o,& & counter_t,n_elem,i_ovr,jj,proc_id,isz, & & idxr, idxs, iszr, iszs, nxch, nsnd, nrcv,lidx, extype_ @@ -255,12 +256,6 @@ Subroutine psb_dcdbldext(a,desc_a,novr,desc_ov,info, extype) Do j=0,n_elem_recv-1 idx = ovrlap(counter+psb_elem_recv_+j) - call desc_ov%indxmap%l2g(idx,gidx,info) - If (gidx < 0) then - info=-3 - call psb_errpush(info,name) - goto 9999 - endif call psb_ensure_size((cntov_o+3),orig_ovr,info,pad=-ione) if (info /= psb_success_) then info=psb_err_from_subroutine_ @@ -269,7 +264,7 @@ Subroutine psb_dcdbldext(a,desc_a,novr,desc_ov,info, extype) end if orig_ovr(cntov_o)=proc orig_ovr(cntov_o+1)=1 - orig_ovr(cntov_o+2)=gidx + orig_ovr(cntov_o+2)=idx orig_ovr(cntov_o+3)=-1 cntov_o=cntov_o+3 end Do @@ -356,12 +351,6 @@ Subroutine psb_dcdbldext(a,desc_a,novr,desc_ov,info, extype) end If idx = halo(counter+psb_elem_recv_+j) - call desc_ov%l2g(idx,gidx,info) - If (gidx < 0) then - info=-3 - call psb_errpush(info,name) - goto 9999 - endif call psb_ensure_size((counter_o+3),tmp_ovr_idx,info,pad=-ione) if (info /= psb_success_) then info=psb_err_from_subroutine_ @@ -371,7 +360,7 @@ Subroutine psb_dcdbldext(a,desc_a,novr,desc_ov,info, extype) tmp_ovr_idx(counter_o) = proc tmp_ovr_idx(counter_o+1) = 1 - tmp_ovr_idx(counter_o+2) = gidx + tmp_ovr_idx(counter_o+2) = idx tmp_ovr_idx(counter_o+3) = -1 counter_o=counter_o+3 call psb_ensure_size((counter_h+3),tmp_halo,info,pad=-ione) @@ -400,12 +389,6 @@ Subroutine psb_dcdbldext(a,desc_a,novr,desc_ov,info, extype) Do j=0,n_elem_send-1 idx = halo(counter+psb_elem_send_+j) - call desc_ov%l2g(idx,gidx,info) - If (gidx < 0) then - info=-3 - call psb_errpush(info,name) - goto 9999 - endif call psb_ensure_size((counter_o+3),tmp_ovr_idx,info,pad=-ione) if (info /= psb_success_) then info=psb_err_from_subroutine_ @@ -415,7 +398,7 @@ Subroutine psb_dcdbldext(a,desc_a,novr,desc_ov,info, extype) tmp_ovr_idx(counter_o) = proc tmp_ovr_idx(counter_o+1) = 1 - tmp_ovr_idx(counter_o+2) = gidx + tmp_ovr_idx(counter_o+2) = idx tmp_ovr_idx(counter_o+3) = -1 counter_o=counter_o+3 @@ -599,7 +582,7 @@ Subroutine psb_dcdbldext(a,desc_a,novr,desc_ov,info, extype) write(debug_unit,*) me,' ',trim(name),':Calling Crea_index' end if - call psi_crea_index(desc_ov,t_halo_in,t_halo_out,.false.,& + call psi_crea_index(desc_ov,t_halo_in,t_halo_out,& & nxch,nsnd,nrcv,info) if (debug_level >= psb_debug_outer_) then diff --git a/base/tools/psb_scdbldext.F90 b/base/tools/psb_scdbldext.F90 index 20fda8dc..d4dd77c2 100644 --- a/base/tools/psb_scdbldext.F90 +++ b/base/tools/psb_scdbldext.F90 @@ -84,7 +84,8 @@ Subroutine psb_scdbldext(a,desc_a,novr,desc_ov,info, extype) integer(psb_ipk_) :: i, j, err_act,m,& & lovr, lworks,lworkr, n_row,n_col, n_col_prev, & & index_dim,elem_dim, l_tmp_ovr_idx,l_tmp_halo, nztot,nhalo - integer(psb_ipk_) :: counter,counter_h, counter_o, counter_e,idx,gidx,proc,n_elem_recv,& + integer(psb_ipk_) :: counter,counter_h, counter_o, counter_e,& + & idx,proc,n_elem_recv,& & n_elem_send,tot_recv,tot_elem,cntov_o,& & counter_t,n_elem,i_ovr,jj,proc_id,isz, & & idxr, idxs, iszr, iszs, nxch, nsnd, nrcv,lidx, extype_ @@ -255,12 +256,6 @@ Subroutine psb_scdbldext(a,desc_a,novr,desc_ov,info, extype) Do j=0,n_elem_recv-1 idx = ovrlap(counter+psb_elem_recv_+j) - call desc_ov%indxmap%l2g(idx,gidx,info) - If (gidx < 0) then - info=-3 - call psb_errpush(info,name) - goto 9999 - endif call psb_ensure_size((cntov_o+3),orig_ovr,info,pad=-ione) if (info /= psb_success_) then info=psb_err_from_subroutine_ @@ -269,7 +264,7 @@ Subroutine psb_scdbldext(a,desc_a,novr,desc_ov,info, extype) end if orig_ovr(cntov_o)=proc orig_ovr(cntov_o+1)=1 - orig_ovr(cntov_o+2)=gidx + orig_ovr(cntov_o+2)=idx orig_ovr(cntov_o+3)=-1 cntov_o=cntov_o+3 end Do @@ -356,12 +351,6 @@ Subroutine psb_scdbldext(a,desc_a,novr,desc_ov,info, extype) end If idx = halo(counter+psb_elem_recv_+j) - call desc_ov%l2g(idx,gidx,info) - If (gidx < 0) then - info=-3 - call psb_errpush(info,name) - goto 9999 - endif call psb_ensure_size((counter_o+3),tmp_ovr_idx,info,pad=-ione) if (info /= psb_success_) then info=psb_err_from_subroutine_ @@ -371,7 +360,7 @@ Subroutine psb_scdbldext(a,desc_a,novr,desc_ov,info, extype) tmp_ovr_idx(counter_o) = proc tmp_ovr_idx(counter_o+1) = 1 - tmp_ovr_idx(counter_o+2) = gidx + tmp_ovr_idx(counter_o+2) = idx tmp_ovr_idx(counter_o+3) = -1 counter_o=counter_o+3 call psb_ensure_size((counter_h+3),tmp_halo,info,pad=-ione) @@ -400,12 +389,6 @@ Subroutine psb_scdbldext(a,desc_a,novr,desc_ov,info, extype) Do j=0,n_elem_send-1 idx = halo(counter+psb_elem_send_+j) - call desc_ov%l2g(idx,gidx,info) - If (gidx < 0) then - info=-3 - call psb_errpush(info,name) - goto 9999 - endif call psb_ensure_size((counter_o+3),tmp_ovr_idx,info,pad=-ione) if (info /= psb_success_) then info=psb_err_from_subroutine_ @@ -415,7 +398,7 @@ Subroutine psb_scdbldext(a,desc_a,novr,desc_ov,info, extype) tmp_ovr_idx(counter_o) = proc tmp_ovr_idx(counter_o+1) = 1 - tmp_ovr_idx(counter_o+2) = gidx + tmp_ovr_idx(counter_o+2) = idx tmp_ovr_idx(counter_o+3) = -1 counter_o=counter_o+3 @@ -599,7 +582,7 @@ Subroutine psb_scdbldext(a,desc_a,novr,desc_ov,info, extype) write(debug_unit,*) me,' ',trim(name),':Calling Crea_index' end if - call psi_crea_index(desc_ov,t_halo_in,t_halo_out,.false.,& + call psi_crea_index(desc_ov,t_halo_in,t_halo_out,& & nxch,nsnd,nrcv,info) if (debug_level >= psb_debug_outer_) then diff --git a/base/tools/psb_zcdbldext.F90 b/base/tools/psb_zcdbldext.F90 index 355d540c..e967190d 100644 --- a/base/tools/psb_zcdbldext.F90 +++ b/base/tools/psb_zcdbldext.F90 @@ -84,7 +84,8 @@ Subroutine psb_zcdbldext(a,desc_a,novr,desc_ov,info, extype) integer(psb_ipk_) :: i, j, err_act,m,& & lovr, lworks,lworkr, n_row,n_col, n_col_prev, & & index_dim,elem_dim, l_tmp_ovr_idx,l_tmp_halo, nztot,nhalo - integer(psb_ipk_) :: counter,counter_h, counter_o, counter_e,idx,gidx,proc,n_elem_recv,& + integer(psb_ipk_) :: counter,counter_h, counter_o, counter_e,& + & idx,proc,n_elem_recv,& & n_elem_send,tot_recv,tot_elem,cntov_o,& & counter_t,n_elem,i_ovr,jj,proc_id,isz, & & idxr, idxs, iszr, iszs, nxch, nsnd, nrcv,lidx, extype_ @@ -255,12 +256,6 @@ Subroutine psb_zcdbldext(a,desc_a,novr,desc_ov,info, extype) Do j=0,n_elem_recv-1 idx = ovrlap(counter+psb_elem_recv_+j) - call desc_ov%indxmap%l2g(idx,gidx,info) - If (gidx < 0) then - info=-3 - call psb_errpush(info,name) - goto 9999 - endif call psb_ensure_size((cntov_o+3),orig_ovr,info,pad=-ione) if (info /= psb_success_) then info=psb_err_from_subroutine_ @@ -269,7 +264,7 @@ Subroutine psb_zcdbldext(a,desc_a,novr,desc_ov,info, extype) end if orig_ovr(cntov_o)=proc orig_ovr(cntov_o+1)=1 - orig_ovr(cntov_o+2)=gidx + orig_ovr(cntov_o+2)=idx orig_ovr(cntov_o+3)=-1 cntov_o=cntov_o+3 end Do @@ -356,12 +351,6 @@ Subroutine psb_zcdbldext(a,desc_a,novr,desc_ov,info, extype) end If idx = halo(counter+psb_elem_recv_+j) - call desc_ov%l2g(idx,gidx,info) - If (gidx < 0) then - info=-3 - call psb_errpush(info,name) - goto 9999 - endif call psb_ensure_size((counter_o+3),tmp_ovr_idx,info,pad=-ione) if (info /= psb_success_) then info=psb_err_from_subroutine_ @@ -371,7 +360,7 @@ Subroutine psb_zcdbldext(a,desc_a,novr,desc_ov,info, extype) tmp_ovr_idx(counter_o) = proc tmp_ovr_idx(counter_o+1) = 1 - tmp_ovr_idx(counter_o+2) = gidx + tmp_ovr_idx(counter_o+2) = idx tmp_ovr_idx(counter_o+3) = -1 counter_o=counter_o+3 call psb_ensure_size((counter_h+3),tmp_halo,info,pad=-ione) @@ -400,12 +389,6 @@ Subroutine psb_zcdbldext(a,desc_a,novr,desc_ov,info, extype) Do j=0,n_elem_send-1 idx = halo(counter+psb_elem_send_+j) - call desc_ov%l2g(idx,gidx,info) - If (gidx < 0) then - info=-3 - call psb_errpush(info,name) - goto 9999 - endif call psb_ensure_size((counter_o+3),tmp_ovr_idx,info,pad=-ione) if (info /= psb_success_) then info=psb_err_from_subroutine_ @@ -415,7 +398,7 @@ Subroutine psb_zcdbldext(a,desc_a,novr,desc_ov,info, extype) tmp_ovr_idx(counter_o) = proc tmp_ovr_idx(counter_o+1) = 1 - tmp_ovr_idx(counter_o+2) = gidx + tmp_ovr_idx(counter_o+2) = idx tmp_ovr_idx(counter_o+3) = -1 counter_o=counter_o+3 @@ -599,7 +582,7 @@ Subroutine psb_zcdbldext(a,desc_a,novr,desc_ov,info, extype) write(debug_unit,*) me,' ',trim(name),':Calling Crea_index' end if - call psi_crea_index(desc_ov,t_halo_in,t_halo_out,.false.,& + call psi_crea_index(desc_ov,t_halo_in,t_halo_out,& & nxch,nsnd,nrcv,info) if (debug_level >= psb_debug_outer_) then diff --git a/test/pargen/runs/ppde.inp b/test/pargen/runs/ppde.inp index 5ae8f8db..4a1e7ab3 100644 --- a/test/pargen/runs/ppde.inp +++ b/test/pargen/runs/ppde.inp @@ -4,8 +4,8 @@ BJAC Preconditioner NONE DIAG BJAC CSR Storage format for matrix A: CSR COO 040 Domain size (acutal system is this**3 (pde3d) or **2 (pde2d) ) 2 Stopping criterion 1 2 -1000 MAXIT --1 ITRACE +0100 MAXIT +01 ITRACE 002 IRST restart for RGMRES and BiCGSTABL From eaaa701c2edb3f0aae929101ebed6500a7ba996e Mon Sep 17 00:00:00 2001 From: Salvatore Filippone Date: Fri, 20 Apr 2018 15:13:36 +0100 Subject: [PATCH 2/7] New interface for methods with global reductions. --- base/modules/psblas/psb_c_psblas_mod.F90 | 115 ++++++++++++++--------- base/modules/psblas/psb_d_psblas_mod.F90 | 115 ++++++++++++++--------- base/modules/psblas/psb_s_psblas_mod.F90 | 115 ++++++++++++++--------- base/modules/psblas/psb_z_psblas_mod.F90 | 115 ++++++++++++++--------- base/psblas/psb_camax.f90 | 61 +++++++++--- base/psblas/psb_casum.f90 | 58 ++++++++++-- base/psblas/psb_cdot.f90 | 72 +++++++++++--- base/psblas/psb_cnrm2.f90 | 72 +++++++++----- base/psblas/psb_cnrmi.f90 | 12 ++- base/psblas/psb_cspnrm1.f90 | 12 ++- base/psblas/psb_damax.f90 | 61 +++++++++--- base/psblas/psb_dasum.f90 | 58 ++++++++++-- base/psblas/psb_ddot.f90 | 72 +++++++++++--- base/psblas/psb_dnrm2.f90 | 72 +++++++++----- base/psblas/psb_dnrmi.f90 | 12 ++- base/psblas/psb_dspnrm1.f90 | 12 ++- base/psblas/psb_samax.f90 | 61 +++++++++--- base/psblas/psb_sasum.f90 | 58 ++++++++++-- base/psblas/psb_sdot.f90 | 72 +++++++++++--- base/psblas/psb_snrm2.f90 | 72 +++++++++----- base/psblas/psb_snrmi.f90 | 12 ++- base/psblas/psb_sspnrm1.f90 | 12 ++- base/psblas/psb_zamax.f90 | 61 +++++++++--- base/psblas/psb_zasum.f90 | 58 ++++++++++-- base/psblas/psb_zdot.f90 | 72 +++++++++++--- base/psblas/psb_znrm2.f90 | 72 +++++++++----- base/psblas/psb_znrmi.f90 | 12 ++- base/psblas/psb_zspnrm1.f90 | 12 ++- 28 files changed, 1172 insertions(+), 436 deletions(-) diff --git a/base/modules/psblas/psb_c_psblas_mod.F90 b/base/modules/psblas/psb_c_psblas_mod.F90 index 22a1d82e..53271ea9 100644 --- a/base/modules/psblas/psb_c_psblas_mod.F90 +++ b/base/modules/psblas/psb_c_psblas_mod.F90 @@ -35,50 +35,55 @@ module psb_c_psblas_mod use psb_c_mat_mod, only : psb_cspmat_type interface psb_gedot - function psb_cdot_vect(x, y, desc_a,info) result(res) + function psb_cdot_vect(x, y, desc_a,info,global) result(res) import :: psb_desc_type, psb_spk_, psb_ipk_, & & psb_c_vect_type, psb_cspmat_type complex(psb_spk_) :: res type(psb_c_vect_type), intent(inout) :: x, y type(psb_desc_type), intent(in) :: desc_a - integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global end function psb_cdot_vect - function psb_cdotv(x, y, desc_a,info) + function psb_cdotv(x, y, desc_a,info,global) import :: psb_desc_type, psb_spk_, psb_ipk_, & & psb_c_vect_type, psb_cspmat_type complex(psb_spk_) :: psb_cdotv complex(psb_spk_), intent(in) :: x(:), y(:) type(psb_desc_type), intent(in) :: desc_a - integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global end function psb_cdotv - function psb_cdot(x, y, desc_a, info, jx, jy) + function psb_cdot(x, y, desc_a, info, jx, jy,global) import :: psb_desc_type, psb_spk_, psb_ipk_, & & psb_c_vect_type, psb_cspmat_type complex(psb_spk_) :: psb_cdot complex(psb_spk_), intent(in) :: x(:,:), y(:,:) type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), optional, intent(in) :: jx, jy - integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global end function psb_cdot end interface interface psb_gedots - subroutine psb_cdotvs(res,x, y, desc_a, info) + subroutine psb_cdotvs(res,x, y, desc_a, info,global) import :: psb_desc_type, psb_spk_, psb_ipk_, & & psb_c_vect_type, psb_cspmat_type complex(psb_spk_), intent(out) :: res complex(psb_spk_), intent(in) :: x(:), y(:) type(psb_desc_type), intent(in) :: desc_a - integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global end subroutine psb_cdotvs - subroutine psb_cmdots(res,x, y, desc_a,info) + subroutine psb_cmdots(res,x, y, desc_a,info,global) import :: psb_desc_type, psb_spk_, psb_ipk_, & & psb_c_vect_type, psb_cspmat_type complex(psb_spk_), intent(out) :: res(:) complex(psb_spk_), intent(in) :: x(:,:), y(:,:) type(psb_desc_type), intent(in) :: desc_a - integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global end subroutine psb_cmdots end interface @@ -91,7 +96,7 @@ module psb_c_psblas_mod type(psb_c_vect_type), intent (inout) :: y complex(psb_spk_), intent (in) :: alpha, beta type(psb_desc_type), intent (in) :: desc_a - integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), intent(out) :: info end subroutine psb_caxpby_vect subroutine psb_caxpbyv(alpha, x, beta, y,& & desc_a, info) @@ -112,35 +117,38 @@ module psb_c_psblas_mod complex(psb_spk_), intent (in) :: alpha, beta type(psb_desc_type), intent (in) :: desc_a integer(psb_ipk_), optional, intent(in) :: n, jx, jy - integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), intent(out) :: info end subroutine psb_caxpby end interface interface psb_geamax - function psb_camax(x, desc_a, info, jx) + function psb_camax(x, desc_a, info, jx,global) import :: psb_desc_type, psb_spk_, psb_ipk_, & & psb_c_vect_type, psb_cspmat_type real(psb_spk_) psb_camax complex(psb_spk_), intent (in) :: x(:,:) type(psb_desc_type), intent (in) :: desc_a integer(psb_ipk_), optional, intent (in) :: jx - integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global end function psb_camax - function psb_camaxv(x, desc_a,info) + function psb_camaxv(x, desc_a,info,global) import :: psb_desc_type, psb_spk_, psb_ipk_, & & psb_c_vect_type, psb_cspmat_type real(psb_spk_) psb_camaxv complex(psb_spk_), intent (in) :: x(:) type(psb_desc_type), intent (in) :: desc_a - integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global end function psb_camaxv - function psb_camax_vect(x, desc_a, info) result(res) + function psb_camax_vect(x, desc_a, info,global) result(res) import :: psb_desc_type, psb_spk_, psb_ipk_, & & psb_c_vect_type, psb_cspmat_type real(psb_spk_) :: res type(psb_c_vect_type), intent (inout) :: x - type(psb_desc_type), intent (in) :: desc_a - integer(psb_ipk_), intent(out) :: info + type(psb_desc_type), intent (in) :: desc_a + integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global end function psb_camax_vect end interface @@ -154,69 +162,76 @@ module psb_c_psblas_mod #endif interface psb_geamaxs - subroutine psb_camaxvs(res,x,desc_a,info) + subroutine psb_camaxvs(res,x,desc_a,info,global) import :: psb_desc_type, psb_spk_, psb_ipk_, & & psb_c_vect_type, psb_cspmat_type real(psb_spk_), intent (out) :: res complex(psb_spk_), intent (in) :: x(:) type(psb_desc_type), intent (in) :: desc_a - integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global end subroutine psb_camaxvs - subroutine psb_cmamaxs(res,x,desc_a,info,jx) + subroutine psb_cmamaxs(res,x,desc_a,info,jx,global) import :: psb_desc_type, psb_spk_, psb_ipk_, & & psb_c_vect_type, psb_cspmat_type real(psb_spk_), intent (out) :: res(:) complex(psb_spk_), intent (in) :: x(:,:) type(psb_desc_type), intent (in) :: desc_a - integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), intent(out) :: info integer(psb_ipk_), optional, intent(in) :: jx + logical, intent(in), optional :: global end subroutine psb_cmamaxs end interface interface psb_geasum - function psb_casum_vect(x, desc_a, info) result(res) + function psb_casum_vect(x, desc_a, info,global) result(res) import :: psb_desc_type, psb_spk_, psb_ipk_, & & psb_c_vect_type, psb_cspmat_type real(psb_spk_) :: res type(psb_c_vect_type), intent (inout) :: x - type(psb_desc_type), intent (in) :: desc_a - integer(psb_ipk_), intent(out) :: info + type(psb_desc_type), intent (in) :: desc_a + integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global end function psb_casum_vect - function psb_casum(x, desc_a, info, jx) + function psb_casum(x, desc_a, info, jx,global) import :: psb_desc_type, psb_spk_, psb_ipk_, & & psb_c_vect_type, psb_cspmat_type real(psb_spk_) psb_casum complex(psb_spk_), intent (in) :: x(:,:) type(psb_desc_type), intent (in) :: desc_a integer(psb_ipk_), optional, intent (in) :: jx - integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global end function psb_casum - function psb_casumv(x, desc_a, info) + function psb_casumv(x, desc_a, info,global) import :: psb_desc_type, psb_spk_, psb_ipk_, & & psb_c_vect_type, psb_cspmat_type real(psb_spk_) psb_casumv complex(psb_spk_), intent (in) :: x(:) type(psb_desc_type), intent (in) :: desc_a - integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global end function psb_casumv end interface interface psb_geasums - subroutine psb_casumvs(res,x,desc_a,info) + subroutine psb_casumvs(res,x,desc_a,info,global) import :: psb_desc_type, psb_spk_, psb_ipk_, & & psb_c_vect_type, psb_cspmat_type real(psb_spk_), intent (out) :: res complex(psb_spk_), intent (in) :: x(:) type(psb_desc_type), intent (in) :: desc_a - integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global end subroutine psb_casumvs - subroutine psb_cmasum(res,x,desc_a,info) + subroutine psb_cmasum(res,x,desc_a,info,global) import :: psb_desc_type, psb_spk_, psb_ipk_, & & psb_c_vect_type, psb_cspmat_type real(psb_spk_), intent (out) :: res(:) complex(psb_spk_), intent (in) :: x(:,:) type(psb_desc_type), intent (in) :: desc_a - integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global end subroutine psb_cmasum end interface @@ -230,30 +245,33 @@ module psb_c_psblas_mod #endif interface psb_genrm2 - function psb_cnrm2(x, desc_a, info, jx) + function psb_cnrm2(x, desc_a, info, jx,global) import :: psb_desc_type, psb_spk_, psb_ipk_, & & psb_c_vect_type, psb_cspmat_type real(psb_spk_) psb_cnrm2 complex(psb_spk_), intent (in) :: x(:,:) type(psb_desc_type), intent (in) :: desc_a integer(psb_ipk_), optional, intent (in) :: jx - integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global end function psb_cnrm2 - function psb_cnrm2v(x, desc_a, info) + function psb_cnrm2v(x, desc_a, info,global) import :: psb_desc_type, psb_spk_, psb_ipk_, & & psb_c_vect_type, psb_cspmat_type real(psb_spk_) psb_cnrm2v complex(psb_spk_), intent (in) :: x(:) type(psb_desc_type), intent (in) :: desc_a integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global end function psb_cnrm2v - function psb_cnrm2_vect(x, desc_a, info) result(res) + function psb_cnrm2_vect(x, desc_a, info,global) result(res) import :: psb_desc_type, psb_spk_, psb_ipk_, & & psb_c_vect_type, psb_cspmat_type real(psb_spk_) :: res 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_), intent(out) :: info + logical, intent(in), optional :: global end function psb_cnrm2_vect end interface @@ -264,25 +282,27 @@ module psb_c_psblas_mod #endif interface psb_genrm2s - subroutine psb_cnrm2vs(res,x,desc_a,info) + subroutine psb_cnrm2vs(res,x,desc_a,info,global) import :: psb_desc_type, psb_spk_, psb_ipk_, & & psb_c_vect_type, psb_cspmat_type real(psb_spk_), intent (out) :: res complex(psb_spk_), intent (in) :: x(:) type(psb_desc_type), intent (in) :: desc_a - integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global end subroutine psb_cnrm2vs end interface interface psb_spnrmi - function psb_cnrmi(a, desc_a,info) + function psb_cnrmi(a, desc_a,info,global) import :: psb_desc_type, psb_spk_, psb_ipk_, & & psb_c_vect_type, psb_cspmat_type real(psb_spk_) :: psb_cnrmi type(psb_cspmat_type), intent (in) :: a type(psb_desc_type), intent (in) :: desc_a - integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global end function psb_cnrmi end interface @@ -293,13 +313,14 @@ module psb_c_psblas_mod #endif interface psb_spnrm1 - function psb_cspnrm1(a, desc_a,info) + function psb_cspnrm1(a, desc_a,info,global) import :: psb_desc_type, psb_spk_, psb_ipk_, & & psb_c_vect_type, psb_cspmat_type - real(psb_spk_) :: psb_cspnrm1 + real(psb_spk_) :: psb_cspnrm1 type(psb_cspmat_type), intent (in) :: a - type(psb_desc_type), intent (in) :: desc_a - integer(psb_ipk_), intent(out) :: info + type(psb_desc_type), intent (in) :: desc_a + integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global end function psb_cspnrm1 end interface diff --git a/base/modules/psblas/psb_d_psblas_mod.F90 b/base/modules/psblas/psb_d_psblas_mod.F90 index ece28141..56386f92 100644 --- a/base/modules/psblas/psb_d_psblas_mod.F90 +++ b/base/modules/psblas/psb_d_psblas_mod.F90 @@ -35,50 +35,55 @@ module psb_d_psblas_mod use psb_d_mat_mod, only : psb_dspmat_type interface psb_gedot - function psb_ddot_vect(x, y, desc_a,info) result(res) + function psb_ddot_vect(x, y, desc_a,info,global) result(res) import :: psb_desc_type, psb_dpk_, psb_ipk_, & & psb_d_vect_type, psb_dspmat_type real(psb_dpk_) :: res type(psb_d_vect_type), intent(inout) :: x, y type(psb_desc_type), intent(in) :: desc_a - integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global end function psb_ddot_vect - function psb_ddotv(x, y, desc_a,info) + function psb_ddotv(x, y, desc_a,info,global) import :: psb_desc_type, psb_dpk_, psb_ipk_, & & psb_d_vect_type, psb_dspmat_type real(psb_dpk_) :: psb_ddotv real(psb_dpk_), intent(in) :: x(:), y(:) type(psb_desc_type), intent(in) :: desc_a - integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global end function psb_ddotv - function psb_ddot(x, y, desc_a, info, jx, jy) + function psb_ddot(x, y, desc_a, info, jx, jy,global) import :: psb_desc_type, psb_dpk_, psb_ipk_, & & psb_d_vect_type, psb_dspmat_type real(psb_dpk_) :: psb_ddot real(psb_dpk_), intent(in) :: x(:,:), y(:,:) type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), optional, intent(in) :: jx, jy - integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global end function psb_ddot end interface interface psb_gedots - subroutine psb_ddotvs(res,x, y, desc_a, info) + subroutine psb_ddotvs(res,x, y, desc_a, info,global) import :: psb_desc_type, psb_dpk_, psb_ipk_, & & psb_d_vect_type, psb_dspmat_type real(psb_dpk_), intent(out) :: res real(psb_dpk_), intent(in) :: x(:), y(:) type(psb_desc_type), intent(in) :: desc_a - integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global end subroutine psb_ddotvs - subroutine psb_dmdots(res,x, y, desc_a,info) + subroutine psb_dmdots(res,x, y, desc_a,info,global) import :: psb_desc_type, psb_dpk_, psb_ipk_, & & psb_d_vect_type, psb_dspmat_type real(psb_dpk_), intent(out) :: res(:) real(psb_dpk_), intent(in) :: x(:,:), y(:,:) type(psb_desc_type), intent(in) :: desc_a - integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global end subroutine psb_dmdots end interface @@ -91,7 +96,7 @@ module psb_d_psblas_mod type(psb_d_vect_type), intent (inout) :: y real(psb_dpk_), intent (in) :: alpha, beta type(psb_desc_type), intent (in) :: desc_a - integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), intent(out) :: info end subroutine psb_daxpby_vect subroutine psb_daxpbyv(alpha, x, beta, y,& & desc_a, info) @@ -112,35 +117,38 @@ module psb_d_psblas_mod real(psb_dpk_), intent (in) :: alpha, beta type(psb_desc_type), intent (in) :: desc_a integer(psb_ipk_), optional, intent(in) :: n, jx, jy - integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), intent(out) :: info end subroutine psb_daxpby end interface interface psb_geamax - function psb_damax(x, desc_a, info, jx) + function psb_damax(x, desc_a, info, jx,global) import :: psb_desc_type, psb_dpk_, psb_ipk_, & & psb_d_vect_type, psb_dspmat_type real(psb_dpk_) psb_damax real(psb_dpk_), intent (in) :: x(:,:) type(psb_desc_type), intent (in) :: desc_a integer(psb_ipk_), optional, intent (in) :: jx - integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global end function psb_damax - function psb_damaxv(x, desc_a,info) + function psb_damaxv(x, desc_a,info,global) import :: psb_desc_type, psb_dpk_, psb_ipk_, & & psb_d_vect_type, psb_dspmat_type real(psb_dpk_) psb_damaxv real(psb_dpk_), intent (in) :: x(:) type(psb_desc_type), intent (in) :: desc_a - integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global end function psb_damaxv - function psb_damax_vect(x, desc_a, info) result(res) + function psb_damax_vect(x, desc_a, info,global) result(res) import :: psb_desc_type, psb_dpk_, psb_ipk_, & & psb_d_vect_type, psb_dspmat_type real(psb_dpk_) :: res type(psb_d_vect_type), intent (inout) :: x - type(psb_desc_type), intent (in) :: desc_a - integer(psb_ipk_), intent(out) :: info + type(psb_desc_type), intent (in) :: desc_a + integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global end function psb_damax_vect end interface @@ -154,69 +162,76 @@ module psb_d_psblas_mod #endif interface psb_geamaxs - subroutine psb_damaxvs(res,x,desc_a,info) + subroutine psb_damaxvs(res,x,desc_a,info,global) import :: psb_desc_type, psb_dpk_, psb_ipk_, & & psb_d_vect_type, psb_dspmat_type real(psb_dpk_), intent (out) :: res real(psb_dpk_), intent (in) :: x(:) type(psb_desc_type), intent (in) :: desc_a - integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global end subroutine psb_damaxvs - subroutine psb_dmamaxs(res,x,desc_a,info,jx) + subroutine psb_dmamaxs(res,x,desc_a,info,jx,global) import :: psb_desc_type, psb_dpk_, psb_ipk_, & & psb_d_vect_type, psb_dspmat_type real(psb_dpk_), intent (out) :: res(:) real(psb_dpk_), intent (in) :: x(:,:) type(psb_desc_type), intent (in) :: desc_a - integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), intent(out) :: info integer(psb_ipk_), optional, intent(in) :: jx + logical, intent(in), optional :: global end subroutine psb_dmamaxs end interface interface psb_geasum - function psb_dasum_vect(x, desc_a, info) result(res) + function psb_dasum_vect(x, desc_a, info,global) result(res) import :: psb_desc_type, psb_dpk_, psb_ipk_, & & psb_d_vect_type, psb_dspmat_type real(psb_dpk_) :: res type(psb_d_vect_type), intent (inout) :: x - type(psb_desc_type), intent (in) :: desc_a - integer(psb_ipk_), intent(out) :: info + type(psb_desc_type), intent (in) :: desc_a + integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global end function psb_dasum_vect - function psb_dasum(x, desc_a, info, jx) + function psb_dasum(x, desc_a, info, jx,global) import :: psb_desc_type, psb_dpk_, psb_ipk_, & & psb_d_vect_type, psb_dspmat_type real(psb_dpk_) psb_dasum real(psb_dpk_), intent (in) :: x(:,:) type(psb_desc_type), intent (in) :: desc_a integer(psb_ipk_), optional, intent (in) :: jx - integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global end function psb_dasum - function psb_dasumv(x, desc_a, info) + function psb_dasumv(x, desc_a, info,global) import :: psb_desc_type, psb_dpk_, psb_ipk_, & & psb_d_vect_type, psb_dspmat_type real(psb_dpk_) psb_dasumv real(psb_dpk_), intent (in) :: x(:) type(psb_desc_type), intent (in) :: desc_a - integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global end function psb_dasumv end interface interface psb_geasums - subroutine psb_dasumvs(res,x,desc_a,info) + subroutine psb_dasumvs(res,x,desc_a,info,global) import :: psb_desc_type, psb_dpk_, psb_ipk_, & & psb_d_vect_type, psb_dspmat_type real(psb_dpk_), intent (out) :: res real(psb_dpk_), intent (in) :: x(:) type(psb_desc_type), intent (in) :: desc_a - integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global end subroutine psb_dasumvs - subroutine psb_dmasum(res,x,desc_a,info) + subroutine psb_dmasum(res,x,desc_a,info,global) import :: psb_desc_type, psb_dpk_, psb_ipk_, & & psb_d_vect_type, psb_dspmat_type real(psb_dpk_), intent (out) :: res(:) real(psb_dpk_), intent (in) :: x(:,:) type(psb_desc_type), intent (in) :: desc_a - integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global end subroutine psb_dmasum end interface @@ -230,30 +245,33 @@ module psb_d_psblas_mod #endif interface psb_genrm2 - function psb_dnrm2(x, desc_a, info, jx) + function psb_dnrm2(x, desc_a, info, jx,global) import :: psb_desc_type, psb_dpk_, psb_ipk_, & & psb_d_vect_type, psb_dspmat_type real(psb_dpk_) psb_dnrm2 real(psb_dpk_), intent (in) :: x(:,:) type(psb_desc_type), intent (in) :: desc_a integer(psb_ipk_), optional, intent (in) :: jx - integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global end function psb_dnrm2 - function psb_dnrm2v(x, desc_a, info) + function psb_dnrm2v(x, desc_a, info,global) import :: psb_desc_type, psb_dpk_, psb_ipk_, & & psb_d_vect_type, psb_dspmat_type real(psb_dpk_) psb_dnrm2v real(psb_dpk_), intent (in) :: x(:) type(psb_desc_type), intent (in) :: desc_a integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global end function psb_dnrm2v - function psb_dnrm2_vect(x, desc_a, info) result(res) + function psb_dnrm2_vect(x, desc_a, info,global) result(res) import :: psb_desc_type, psb_dpk_, psb_ipk_, & & psb_d_vect_type, psb_dspmat_type real(psb_dpk_) :: res 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_), intent(out) :: info + logical, intent(in), optional :: global end function psb_dnrm2_vect end interface @@ -264,25 +282,27 @@ module psb_d_psblas_mod #endif interface psb_genrm2s - subroutine psb_dnrm2vs(res,x,desc_a,info) + subroutine psb_dnrm2vs(res,x,desc_a,info,global) import :: psb_desc_type, psb_dpk_, psb_ipk_, & & psb_d_vect_type, psb_dspmat_type real(psb_dpk_), intent (out) :: res real(psb_dpk_), intent (in) :: x(:) type(psb_desc_type), intent (in) :: desc_a - integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global end subroutine psb_dnrm2vs end interface interface psb_spnrmi - function psb_dnrmi(a, desc_a,info) + function psb_dnrmi(a, desc_a,info,global) import :: psb_desc_type, psb_dpk_, psb_ipk_, & & psb_d_vect_type, psb_dspmat_type real(psb_dpk_) :: psb_dnrmi type(psb_dspmat_type), intent (in) :: a type(psb_desc_type), intent (in) :: desc_a - integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global end function psb_dnrmi end interface @@ -293,13 +313,14 @@ module psb_d_psblas_mod #endif interface psb_spnrm1 - function psb_dspnrm1(a, desc_a,info) + function psb_dspnrm1(a, desc_a,info,global) import :: psb_desc_type, psb_dpk_, psb_ipk_, & & psb_d_vect_type, psb_dspmat_type - real(psb_dpk_) :: psb_dspnrm1 + real(psb_dpk_) :: psb_dspnrm1 type(psb_dspmat_type), intent (in) :: a - type(psb_desc_type), intent (in) :: desc_a - integer(psb_ipk_), intent(out) :: info + type(psb_desc_type), intent (in) :: desc_a + integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global end function psb_dspnrm1 end interface diff --git a/base/modules/psblas/psb_s_psblas_mod.F90 b/base/modules/psblas/psb_s_psblas_mod.F90 index fae7aaf0..a764bb40 100644 --- a/base/modules/psblas/psb_s_psblas_mod.F90 +++ b/base/modules/psblas/psb_s_psblas_mod.F90 @@ -35,50 +35,55 @@ module psb_s_psblas_mod use psb_s_mat_mod, only : psb_sspmat_type interface psb_gedot - function psb_sdot_vect(x, y, desc_a,info) result(res) + function psb_sdot_vect(x, y, desc_a,info,global) result(res) import :: psb_desc_type, psb_spk_, psb_ipk_, & & psb_s_vect_type, psb_sspmat_type real(psb_spk_) :: res type(psb_s_vect_type), intent(inout) :: x, y type(psb_desc_type), intent(in) :: desc_a - integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global end function psb_sdot_vect - function psb_sdotv(x, y, desc_a,info) + function psb_sdotv(x, y, desc_a,info,global) import :: psb_desc_type, psb_spk_, psb_ipk_, & & psb_s_vect_type, psb_sspmat_type real(psb_spk_) :: psb_sdotv real(psb_spk_), intent(in) :: x(:), y(:) type(psb_desc_type), intent(in) :: desc_a - integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global end function psb_sdotv - function psb_sdot(x, y, desc_a, info, jx, jy) + function psb_sdot(x, y, desc_a, info, jx, jy,global) import :: psb_desc_type, psb_spk_, psb_ipk_, & & psb_s_vect_type, psb_sspmat_type real(psb_spk_) :: psb_sdot real(psb_spk_), intent(in) :: x(:,:), y(:,:) type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), optional, intent(in) :: jx, jy - integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global end function psb_sdot end interface interface psb_gedots - subroutine psb_sdotvs(res,x, y, desc_a, info) + subroutine psb_sdotvs(res,x, y, desc_a, info,global) import :: psb_desc_type, psb_spk_, psb_ipk_, & & psb_s_vect_type, psb_sspmat_type real(psb_spk_), intent(out) :: res real(psb_spk_), intent(in) :: x(:), y(:) type(psb_desc_type), intent(in) :: desc_a - integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global end subroutine psb_sdotvs - subroutine psb_smdots(res,x, y, desc_a,info) + subroutine psb_smdots(res,x, y, desc_a,info,global) import :: psb_desc_type, psb_spk_, psb_ipk_, & & psb_s_vect_type, psb_sspmat_type real(psb_spk_), intent(out) :: res(:) real(psb_spk_), intent(in) :: x(:,:), y(:,:) type(psb_desc_type), intent(in) :: desc_a - integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global end subroutine psb_smdots end interface @@ -91,7 +96,7 @@ module psb_s_psblas_mod type(psb_s_vect_type), intent (inout) :: y real(psb_spk_), intent (in) :: alpha, beta type(psb_desc_type), intent (in) :: desc_a - integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), intent(out) :: info end subroutine psb_saxpby_vect subroutine psb_saxpbyv(alpha, x, beta, y,& & desc_a, info) @@ -112,35 +117,38 @@ module psb_s_psblas_mod real(psb_spk_), intent (in) :: alpha, beta type(psb_desc_type), intent (in) :: desc_a integer(psb_ipk_), optional, intent(in) :: n, jx, jy - integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), intent(out) :: info end subroutine psb_saxpby end interface interface psb_geamax - function psb_samax(x, desc_a, info, jx) + function psb_samax(x, desc_a, info, jx,global) import :: psb_desc_type, psb_spk_, psb_ipk_, & & psb_s_vect_type, psb_sspmat_type real(psb_spk_) psb_samax real(psb_spk_), intent (in) :: x(:,:) type(psb_desc_type), intent (in) :: desc_a integer(psb_ipk_), optional, intent (in) :: jx - integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global end function psb_samax - function psb_samaxv(x, desc_a,info) + function psb_samaxv(x, desc_a,info,global) import :: psb_desc_type, psb_spk_, psb_ipk_, & & psb_s_vect_type, psb_sspmat_type real(psb_spk_) psb_samaxv real(psb_spk_), intent (in) :: x(:) type(psb_desc_type), intent (in) :: desc_a - integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global end function psb_samaxv - function psb_samax_vect(x, desc_a, info) result(res) + function psb_samax_vect(x, desc_a, info,global) result(res) import :: psb_desc_type, psb_spk_, psb_ipk_, & & psb_s_vect_type, psb_sspmat_type real(psb_spk_) :: res type(psb_s_vect_type), intent (inout) :: x - type(psb_desc_type), intent (in) :: desc_a - integer(psb_ipk_), intent(out) :: info + type(psb_desc_type), intent (in) :: desc_a + integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global end function psb_samax_vect end interface @@ -154,69 +162,76 @@ module psb_s_psblas_mod #endif interface psb_geamaxs - subroutine psb_samaxvs(res,x,desc_a,info) + subroutine psb_samaxvs(res,x,desc_a,info,global) import :: psb_desc_type, psb_spk_, psb_ipk_, & & psb_s_vect_type, psb_sspmat_type real(psb_spk_), intent (out) :: res real(psb_spk_), intent (in) :: x(:) type(psb_desc_type), intent (in) :: desc_a - integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global end subroutine psb_samaxvs - subroutine psb_smamaxs(res,x,desc_a,info,jx) + subroutine psb_smamaxs(res,x,desc_a,info,jx,global) import :: psb_desc_type, psb_spk_, psb_ipk_, & & psb_s_vect_type, psb_sspmat_type real(psb_spk_), intent (out) :: res(:) real(psb_spk_), intent (in) :: x(:,:) type(psb_desc_type), intent (in) :: desc_a - integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), intent(out) :: info integer(psb_ipk_), optional, intent(in) :: jx + logical, intent(in), optional :: global end subroutine psb_smamaxs end interface interface psb_geasum - function psb_sasum_vect(x, desc_a, info) result(res) + function psb_sasum_vect(x, desc_a, info,global) result(res) import :: psb_desc_type, psb_spk_, psb_ipk_, & & psb_s_vect_type, psb_sspmat_type real(psb_spk_) :: res type(psb_s_vect_type), intent (inout) :: x - type(psb_desc_type), intent (in) :: desc_a - integer(psb_ipk_), intent(out) :: info + type(psb_desc_type), intent (in) :: desc_a + integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global end function psb_sasum_vect - function psb_sasum(x, desc_a, info, jx) + function psb_sasum(x, desc_a, info, jx,global) import :: psb_desc_type, psb_spk_, psb_ipk_, & & psb_s_vect_type, psb_sspmat_type real(psb_spk_) psb_sasum real(psb_spk_), intent (in) :: x(:,:) type(psb_desc_type), intent (in) :: desc_a integer(psb_ipk_), optional, intent (in) :: jx - integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global end function psb_sasum - function psb_sasumv(x, desc_a, info) + function psb_sasumv(x, desc_a, info,global) import :: psb_desc_type, psb_spk_, psb_ipk_, & & psb_s_vect_type, psb_sspmat_type real(psb_spk_) psb_sasumv real(psb_spk_), intent (in) :: x(:) type(psb_desc_type), intent (in) :: desc_a - integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global end function psb_sasumv end interface interface psb_geasums - subroutine psb_sasumvs(res,x,desc_a,info) + subroutine psb_sasumvs(res,x,desc_a,info,global) import :: psb_desc_type, psb_spk_, psb_ipk_, & & psb_s_vect_type, psb_sspmat_type real(psb_spk_), intent (out) :: res real(psb_spk_), intent (in) :: x(:) type(psb_desc_type), intent (in) :: desc_a - integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global end subroutine psb_sasumvs - subroutine psb_smasum(res,x,desc_a,info) + subroutine psb_smasum(res,x,desc_a,info,global) import :: psb_desc_type, psb_spk_, psb_ipk_, & & psb_s_vect_type, psb_sspmat_type real(psb_spk_), intent (out) :: res(:) real(psb_spk_), intent (in) :: x(:,:) type(psb_desc_type), intent (in) :: desc_a - integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global end subroutine psb_smasum end interface @@ -230,30 +245,33 @@ module psb_s_psblas_mod #endif interface psb_genrm2 - function psb_snrm2(x, desc_a, info, jx) + function psb_snrm2(x, desc_a, info, jx,global) import :: psb_desc_type, psb_spk_, psb_ipk_, & & psb_s_vect_type, psb_sspmat_type real(psb_spk_) psb_snrm2 real(psb_spk_), intent (in) :: x(:,:) type(psb_desc_type), intent (in) :: desc_a integer(psb_ipk_), optional, intent (in) :: jx - integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global end function psb_snrm2 - function psb_snrm2v(x, desc_a, info) + function psb_snrm2v(x, desc_a, info,global) import :: psb_desc_type, psb_spk_, psb_ipk_, & & psb_s_vect_type, psb_sspmat_type real(psb_spk_) psb_snrm2v real(psb_spk_), intent (in) :: x(:) type(psb_desc_type), intent (in) :: desc_a integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global end function psb_snrm2v - function psb_snrm2_vect(x, desc_a, info) result(res) + function psb_snrm2_vect(x, desc_a, info,global) result(res) import :: psb_desc_type, psb_spk_, psb_ipk_, & & psb_s_vect_type, psb_sspmat_type real(psb_spk_) :: res 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_), intent(out) :: info + logical, intent(in), optional :: global end function psb_snrm2_vect end interface @@ -264,25 +282,27 @@ module psb_s_psblas_mod #endif interface psb_genrm2s - subroutine psb_snrm2vs(res,x,desc_a,info) + subroutine psb_snrm2vs(res,x,desc_a,info,global) import :: psb_desc_type, psb_spk_, psb_ipk_, & & psb_s_vect_type, psb_sspmat_type real(psb_spk_), intent (out) :: res real(psb_spk_), intent (in) :: x(:) type(psb_desc_type), intent (in) :: desc_a - integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global end subroutine psb_snrm2vs end interface interface psb_spnrmi - function psb_snrmi(a, desc_a,info) + function psb_snrmi(a, desc_a,info,global) import :: psb_desc_type, psb_spk_, psb_ipk_, & & psb_s_vect_type, psb_sspmat_type real(psb_spk_) :: psb_snrmi type(psb_sspmat_type), intent (in) :: a type(psb_desc_type), intent (in) :: desc_a - integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global end function psb_snrmi end interface @@ -293,13 +313,14 @@ module psb_s_psblas_mod #endif interface psb_spnrm1 - function psb_sspnrm1(a, desc_a,info) + function psb_sspnrm1(a, desc_a,info,global) import :: psb_desc_type, psb_spk_, psb_ipk_, & & psb_s_vect_type, psb_sspmat_type - real(psb_spk_) :: psb_sspnrm1 + real(psb_spk_) :: psb_sspnrm1 type(psb_sspmat_type), intent (in) :: a - type(psb_desc_type), intent (in) :: desc_a - integer(psb_ipk_), intent(out) :: info + type(psb_desc_type), intent (in) :: desc_a + integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global end function psb_sspnrm1 end interface diff --git a/base/modules/psblas/psb_z_psblas_mod.F90 b/base/modules/psblas/psb_z_psblas_mod.F90 index b218ce5b..08ee92a7 100644 --- a/base/modules/psblas/psb_z_psblas_mod.F90 +++ b/base/modules/psblas/psb_z_psblas_mod.F90 @@ -35,50 +35,55 @@ module psb_z_psblas_mod use psb_z_mat_mod, only : psb_zspmat_type interface psb_gedot - function psb_zdot_vect(x, y, desc_a,info) result(res) + function psb_zdot_vect(x, y, desc_a,info,global) result(res) import :: psb_desc_type, psb_dpk_, psb_ipk_, & & psb_z_vect_type, psb_zspmat_type complex(psb_dpk_) :: res type(psb_z_vect_type), intent(inout) :: x, y type(psb_desc_type), intent(in) :: desc_a - integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global end function psb_zdot_vect - function psb_zdotv(x, y, desc_a,info) + function psb_zdotv(x, y, desc_a,info,global) import :: psb_desc_type, psb_dpk_, psb_ipk_, & & psb_z_vect_type, psb_zspmat_type complex(psb_dpk_) :: psb_zdotv complex(psb_dpk_), intent(in) :: x(:), y(:) type(psb_desc_type), intent(in) :: desc_a - integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global end function psb_zdotv - function psb_zdot(x, y, desc_a, info, jx, jy) + function psb_zdot(x, y, desc_a, info, jx, jy,global) import :: psb_desc_type, psb_dpk_, psb_ipk_, & & psb_z_vect_type, psb_zspmat_type complex(psb_dpk_) :: psb_zdot complex(psb_dpk_), intent(in) :: x(:,:), y(:,:) type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), optional, intent(in) :: jx, jy - integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global end function psb_zdot end interface interface psb_gedots - subroutine psb_zdotvs(res,x, y, desc_a, info) + subroutine psb_zdotvs(res,x, y, desc_a, info,global) import :: psb_desc_type, psb_dpk_, psb_ipk_, & & psb_z_vect_type, psb_zspmat_type complex(psb_dpk_), intent(out) :: res complex(psb_dpk_), intent(in) :: x(:), y(:) type(psb_desc_type), intent(in) :: desc_a - integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global end subroutine psb_zdotvs - subroutine psb_zmdots(res,x, y, desc_a,info) + subroutine psb_zmdots(res,x, y, desc_a,info,global) import :: psb_desc_type, psb_dpk_, psb_ipk_, & & psb_z_vect_type, psb_zspmat_type complex(psb_dpk_), intent(out) :: res(:) complex(psb_dpk_), intent(in) :: x(:,:), y(:,:) type(psb_desc_type), intent(in) :: desc_a - integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global end subroutine psb_zmdots end interface @@ -91,7 +96,7 @@ module psb_z_psblas_mod type(psb_z_vect_type), intent (inout) :: y complex(psb_dpk_), intent (in) :: alpha, beta type(psb_desc_type), intent (in) :: desc_a - integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), intent(out) :: info end subroutine psb_zaxpby_vect subroutine psb_zaxpbyv(alpha, x, beta, y,& & desc_a, info) @@ -112,35 +117,38 @@ module psb_z_psblas_mod complex(psb_dpk_), intent (in) :: alpha, beta type(psb_desc_type), intent (in) :: desc_a integer(psb_ipk_), optional, intent(in) :: n, jx, jy - integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), intent(out) :: info end subroutine psb_zaxpby end interface interface psb_geamax - function psb_zamax(x, desc_a, info, jx) + function psb_zamax(x, desc_a, info, jx,global) import :: psb_desc_type, psb_dpk_, psb_ipk_, & & psb_z_vect_type, psb_zspmat_type real(psb_dpk_) psb_zamax complex(psb_dpk_), intent (in) :: x(:,:) type(psb_desc_type), intent (in) :: desc_a integer(psb_ipk_), optional, intent (in) :: jx - integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global end function psb_zamax - function psb_zamaxv(x, desc_a,info) + function psb_zamaxv(x, desc_a,info,global) import :: psb_desc_type, psb_dpk_, psb_ipk_, & & psb_z_vect_type, psb_zspmat_type real(psb_dpk_) psb_zamaxv complex(psb_dpk_), intent (in) :: x(:) type(psb_desc_type), intent (in) :: desc_a - integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global end function psb_zamaxv - function psb_zamax_vect(x, desc_a, info) result(res) + function psb_zamax_vect(x, desc_a, info,global) result(res) import :: psb_desc_type, psb_dpk_, psb_ipk_, & & psb_z_vect_type, psb_zspmat_type real(psb_dpk_) :: res type(psb_z_vect_type), intent (inout) :: x - type(psb_desc_type), intent (in) :: desc_a - integer(psb_ipk_), intent(out) :: info + type(psb_desc_type), intent (in) :: desc_a + integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global end function psb_zamax_vect end interface @@ -154,69 +162,76 @@ module psb_z_psblas_mod #endif interface psb_geamaxs - subroutine psb_zamaxvs(res,x,desc_a,info) + subroutine psb_zamaxvs(res,x,desc_a,info,global) import :: psb_desc_type, psb_dpk_, psb_ipk_, & & psb_z_vect_type, psb_zspmat_type real(psb_dpk_), intent (out) :: res complex(psb_dpk_), intent (in) :: x(:) type(psb_desc_type), intent (in) :: desc_a - integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global end subroutine psb_zamaxvs - subroutine psb_zmamaxs(res,x,desc_a,info,jx) + subroutine psb_zmamaxs(res,x,desc_a,info,jx,global) import :: psb_desc_type, psb_dpk_, psb_ipk_, & & psb_z_vect_type, psb_zspmat_type real(psb_dpk_), intent (out) :: res(:) complex(psb_dpk_), intent (in) :: x(:,:) type(psb_desc_type), intent (in) :: desc_a - integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), intent(out) :: info integer(psb_ipk_), optional, intent(in) :: jx + logical, intent(in), optional :: global end subroutine psb_zmamaxs end interface interface psb_geasum - function psb_zasum_vect(x, desc_a, info) result(res) + function psb_zasum_vect(x, desc_a, info,global) result(res) import :: psb_desc_type, psb_dpk_, psb_ipk_, & & psb_z_vect_type, psb_zspmat_type real(psb_dpk_) :: res type(psb_z_vect_type), intent (inout) :: x - type(psb_desc_type), intent (in) :: desc_a - integer(psb_ipk_), intent(out) :: info + type(psb_desc_type), intent (in) :: desc_a + integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global end function psb_zasum_vect - function psb_zasum(x, desc_a, info, jx) + function psb_zasum(x, desc_a, info, jx,global) import :: psb_desc_type, psb_dpk_, psb_ipk_, & & psb_z_vect_type, psb_zspmat_type real(psb_dpk_) psb_zasum complex(psb_dpk_), intent (in) :: x(:,:) type(psb_desc_type), intent (in) :: desc_a integer(psb_ipk_), optional, intent (in) :: jx - integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global end function psb_zasum - function psb_zasumv(x, desc_a, info) + function psb_zasumv(x, desc_a, info,global) import :: psb_desc_type, psb_dpk_, psb_ipk_, & & psb_z_vect_type, psb_zspmat_type real(psb_dpk_) psb_zasumv complex(psb_dpk_), intent (in) :: x(:) type(psb_desc_type), intent (in) :: desc_a - integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global end function psb_zasumv end interface interface psb_geasums - subroutine psb_zasumvs(res,x,desc_a,info) + subroutine psb_zasumvs(res,x,desc_a,info,global) import :: psb_desc_type, psb_dpk_, psb_ipk_, & & psb_z_vect_type, psb_zspmat_type real(psb_dpk_), intent (out) :: res complex(psb_dpk_), intent (in) :: x(:) type(psb_desc_type), intent (in) :: desc_a - integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global end subroutine psb_zasumvs - subroutine psb_zmasum(res,x,desc_a,info) + subroutine psb_zmasum(res,x,desc_a,info,global) import :: psb_desc_type, psb_dpk_, psb_ipk_, & & psb_z_vect_type, psb_zspmat_type real(psb_dpk_), intent (out) :: res(:) complex(psb_dpk_), intent (in) :: x(:,:) type(psb_desc_type), intent (in) :: desc_a - integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global end subroutine psb_zmasum end interface @@ -230,30 +245,33 @@ module psb_z_psblas_mod #endif interface psb_genrm2 - function psb_znrm2(x, desc_a, info, jx) + function psb_znrm2(x, desc_a, info, jx,global) import :: psb_desc_type, psb_dpk_, psb_ipk_, & & psb_z_vect_type, psb_zspmat_type real(psb_dpk_) psb_znrm2 complex(psb_dpk_), intent (in) :: x(:,:) type(psb_desc_type), intent (in) :: desc_a integer(psb_ipk_), optional, intent (in) :: jx - integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global end function psb_znrm2 - function psb_znrm2v(x, desc_a, info) + function psb_znrm2v(x, desc_a, info,global) import :: psb_desc_type, psb_dpk_, psb_ipk_, & & psb_z_vect_type, psb_zspmat_type real(psb_dpk_) psb_znrm2v complex(psb_dpk_), intent (in) :: x(:) type(psb_desc_type), intent (in) :: desc_a integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global end function psb_znrm2v - function psb_znrm2_vect(x, desc_a, info) result(res) + function psb_znrm2_vect(x, desc_a, info,global) result(res) import :: psb_desc_type, psb_dpk_, psb_ipk_, & & psb_z_vect_type, psb_zspmat_type real(psb_dpk_) :: res 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_), intent(out) :: info + logical, intent(in), optional :: global end function psb_znrm2_vect end interface @@ -264,25 +282,27 @@ module psb_z_psblas_mod #endif interface psb_genrm2s - subroutine psb_znrm2vs(res,x,desc_a,info) + subroutine psb_znrm2vs(res,x,desc_a,info,global) import :: psb_desc_type, psb_dpk_, psb_ipk_, & & psb_z_vect_type, psb_zspmat_type real(psb_dpk_), intent (out) :: res complex(psb_dpk_), intent (in) :: x(:) type(psb_desc_type), intent (in) :: desc_a - integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global end subroutine psb_znrm2vs end interface interface psb_spnrmi - function psb_znrmi(a, desc_a,info) + function psb_znrmi(a, desc_a,info,global) import :: psb_desc_type, psb_dpk_, psb_ipk_, & & psb_z_vect_type, psb_zspmat_type real(psb_dpk_) :: psb_znrmi type(psb_zspmat_type), intent (in) :: a type(psb_desc_type), intent (in) :: desc_a - integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global end function psb_znrmi end interface @@ -293,13 +313,14 @@ module psb_z_psblas_mod #endif interface psb_spnrm1 - function psb_zspnrm1(a, desc_a,info) + function psb_zspnrm1(a, desc_a,info,global) import :: psb_desc_type, psb_dpk_, psb_ipk_, & & psb_z_vect_type, psb_zspmat_type - real(psb_dpk_) :: psb_zspnrm1 + real(psb_dpk_) :: psb_zspnrm1 type(psb_zspmat_type), intent (in) :: a - type(psb_desc_type), intent (in) :: desc_a - integer(psb_ipk_), intent(out) :: info + type(psb_desc_type), intent (in) :: desc_a + integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global end function psb_zspnrm1 end interface diff --git a/base/psblas/psb_camax.f90 b/base/psblas/psb_camax.f90 index fea7798e..f9a11055 100644 --- a/base/psblas/psb_camax.f90 +++ b/base/psblas/psb_camax.f90 @@ -44,7 +44,7 @@ ! info - integer. Return code ! jx - integer(optional). The column offset. ! -function psb_camax(x,desc_a, info, jx) result(res) +function psb_camax(x,desc_a, info, jx,global) result(res) use psb_base_mod, psb_protect_name => psb_camax implicit none @@ -54,10 +54,12 @@ function psb_camax(x,desc_a, info, jx) result(res) integer(psb_ipk_), intent(out) :: info integer(psb_ipk_), optional, intent(in) :: jx real(psb_spk_) :: res + logical, intent(in), optional :: global ! locals integer(psb_ipk_) :: ictxt, np, me,& & err_act, iix, jjx, ix, ijx, m, ldx + logical :: global_ character(len=20) :: name, ch_err name='psb_camax' @@ -82,6 +84,12 @@ function psb_camax(x,desc_a, info, jx) result(res) ijx = 1 endif + if (present(global)) then + global_ = global + else + global_ = .true. + end if + m = desc_a%get_global_rows() ldx = size(x,1) @@ -107,7 +115,7 @@ function psb_camax(x,desc_a, info, jx) result(res) end if ! compute global max - call psb_amx(ictxt, res) + if (global_) call psb_amx(ictxt, res) call psb_erractionrestore(err_act) return @@ -162,7 +170,7 @@ end function psb_camax ! desc_a - type(psb_desc_type). The communication descriptor. ! info - integer. Return code ! -function psb_camaxv (x,desc_a, info) result(res) +function psb_camaxv (x,desc_a, info,global) result(res) use psb_base_mod, psb_protect_name => psb_camaxv implicit none @@ -171,11 +179,12 @@ function psb_camaxv (x,desc_a, info) result(res) type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info real(psb_spk_) :: res + logical, intent(in), optional :: global ! locals integer(psb_ipk_) :: ictxt, np, me,& & err_act, iix, jjx, jx, ix, m, ldx - + logical :: global_ character(len=20) :: name, ch_err name='psb_camaxv' @@ -193,6 +202,12 @@ function psb_camaxv (x,desc_a, info) result(res) goto 9999 endif + if (present(global)) then + global_ = global + else + global_ = .true. + end if + ix = 1 jx = 1 @@ -221,7 +236,7 @@ function psb_camaxv (x,desc_a, info) result(res) end if ! compute global max - call psb_amx(ictxt, res) + if (global_) call psb_amx(ictxt, res) call psb_erractionrestore(err_act) return @@ -232,7 +247,7 @@ function psb_camaxv (x,desc_a, info) result(res) end function psb_camaxv -function psb_camax_vect(x, desc_a, info) result(res) +function psb_camax_vect(x, desc_a, info,global) result(res) use psb_penv_mod use psb_serial_mod use psb_desc_mod @@ -245,10 +260,12 @@ function psb_camax_vect(x, desc_a, info) result(res) type(psb_c_vect_type), intent (inout) :: x type(psb_desc_type), intent (in) :: desc_a integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global ! locals integer(psb_ipk_) :: ictxt, np, me,& & err_act, iix, jjx, jx, ix, m + logical :: global_ character(len=20) :: name, ch_err name='psb_camaxv' @@ -271,6 +288,12 @@ function psb_camax_vect(x, desc_a, info) result(res) goto 9999 endif + if (present(global)) then + global_ = global + else + global_ = .true. + end if + ix = 1 jx = 1 @@ -297,7 +320,7 @@ function psb_camax_vect(x, desc_a, info) result(res) end if ! compute global max - call psb_amx(ictxt, res) + if (global_) call psb_amx(ictxt, res) call psb_erractionrestore(err_act) return @@ -355,7 +378,7 @@ end function psb_camax_vect ! info - integer. Return code ! jx - integer(optional). The column offset. ! -subroutine psb_camaxvs(res,x,desc_a, info) +subroutine psb_camaxvs(res,x,desc_a, info,global) use psb_base_mod, psb_protect_name => psb_camaxvs implicit none @@ -364,10 +387,12 @@ subroutine psb_camaxvs(res,x,desc_a, info) type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info real(psb_spk_), intent(out) :: res + logical, intent(in), optional :: global ! locals integer(psb_ipk_) :: ictxt, np, me,& & err_act, iix, jjx, ix, ijx, m, ldx + logical :: global_ character(len=20) :: name, ch_err name='psb_camaxvs' @@ -385,6 +410,12 @@ subroutine psb_camaxvs(res,x,desc_a, info) goto 9999 endif + if (present(global)) then + global_ = global + else + global_ = .true. + end if + ix = 1 ijx=1 @@ -412,7 +443,7 @@ subroutine psb_camaxvs(res,x,desc_a, info) end if ! compute global max - call psb_amx(ictxt, res) + if (global_) call psb_amx(ictxt, res) call psb_erractionrestore(err_act) return @@ -466,7 +497,7 @@ end subroutine psb_camaxvs ! desc_a - type(psb_desc_type). The communication descriptor. ! info - integer. Return code ! -subroutine psb_cmamaxs(res,x,desc_a, info,jx) +subroutine psb_cmamaxs(res,x,desc_a, info,jx,global) use psb_base_mod, psb_protect_name => psb_cmamaxs implicit none @@ -476,10 +507,12 @@ subroutine psb_cmamaxs(res,x,desc_a, info,jx) integer(psb_ipk_), intent(out) :: info integer(psb_ipk_), optional, intent(in) :: jx real(psb_spk_), intent(out) :: res(:) + logical, intent(in), optional :: global ! locals integer(psb_ipk_) :: ictxt, np, me,& & err_act, iix, jjx, ix, ijx, m, ldx, i, k + logical :: global_ character(len=20) :: name, ch_err name='psb_cmamaxs' @@ -503,6 +536,12 @@ subroutine psb_cmamaxs(res,x,desc_a, info,jx) ijx = 1 endif + if (present(global)) then + global_ = global + else + global_ = .true. + end if + m = desc_a%get_global_rows() k = min(size(x,2),size(res,1)) ldx = size(x,1) @@ -529,7 +568,7 @@ subroutine psb_cmamaxs(res,x,desc_a, info,jx) end if ! compute global max - call psb_amx(ictxt, res(1:k)) + if (global_) call psb_amx(ictxt, res(1:k)) call psb_erractionrestore(err_act) return diff --git a/base/psblas/psb_casum.f90 b/base/psblas/psb_casum.f90 index bd77453f..c9e29461 100644 --- a/base/psblas/psb_casum.f90 +++ b/base/psblas/psb_casum.f90 @@ -44,7 +44,7 @@ ! info - integer. Return code ! jx - integer(optional). The column offset. ! -function psb_casum (x,desc_a, info, jx) result(res) +function psb_casum (x,desc_a, info, jx,global) result(res) use psb_base_mod, psb_protect_name => psb_casum implicit none @@ -54,10 +54,12 @@ function psb_casum (x,desc_a, info, jx) result(res) integer(psb_ipk_), intent(out) :: info integer(psb_ipk_), optional, intent(in) :: jx real(psb_spk_) :: res + logical, intent(in), optional :: global ! locals integer(psb_ipk_) :: ictxt, np, me, & & err_act, iix, jjx, ix, ijx, m, i, idx, ndm, ldx + logical :: global_ character(len=20) :: name, ch_err name='psb_casum' @@ -82,6 +84,12 @@ function psb_casum (x,desc_a, info, jx) result(res) ijx = 1 endif + if (present(global)) then + global_ = global + else + global_ = .true. + end if + m = desc_a%get_global_rows() ldx = size(x,1) ! check vector correctness @@ -114,7 +122,7 @@ function psb_casum (x,desc_a, info, jx) result(res) res = szero end if ! compute global sum - call psb_sum(ictxt, res) + if (global_) call psb_sum(ictxt, res) call psb_erractionrestore(err_act) return @@ -125,7 +133,7 @@ function psb_casum (x,desc_a, info, jx) result(res) end function psb_casum -function psb_casum_vect(x, desc_a, info) result(res) +function psb_casum_vect(x, desc_a, info,global) result(res) use psb_base_mod, psb_protect_name => psb_casum_vect implicit none @@ -133,10 +141,12 @@ function psb_casum_vect(x, desc_a, info) result(res) type(psb_c_vect_type), intent (inout) :: x type(psb_desc_type), intent (in) :: desc_a integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global ! locals integer(psb_ipk_) :: ictxt, np, me,& - & err_act, iix, jjx, jx, ix, m, imax + & err_act, iix, jjx, jx, ix, m, imax, i, idx, ndm + logical :: global_ character(len=20) :: name, ch_err name='psb_casumv' @@ -160,6 +170,11 @@ function psb_casum_vect(x, desc_a, info) result(res) goto 9999 endif + if (present(global)) then + global_ = global + else + global_ = .true. + end if ix = 1 jx = 1 @@ -182,12 +197,21 @@ function psb_casum_vect(x, desc_a, info) result(res) ! compute local max if ((desc_a%get_local_rows() > 0).and.(m /= 0)) then res = x%asum(desc_a%get_local_rows()) + if (size(desc_a%ovrlap_elem,1)>0) then + if (x%is_dev()) call x%sync() + ! adjust res because overlapped elements are computed more than once + do i=1,size(desc_a%ovrlap_elem,1) + idx = desc_a%ovrlap_elem(i,1) + ndm = desc_a%ovrlap_elem(i,2) + res = res - (real(ndm-1)/real(ndm))*abs(x%v%v(idx)) + end do + end if else res = szero end if ! compute global sum - call psb_sum(ictxt, res) + if (global_) call psb_sum(ictxt, res) call psb_erractionrestore(err_act) return @@ -242,7 +266,7 @@ end function psb_casum_vect ! desc_a - type(psb_desc_type). The communication descriptor. ! info - integer. Return code ! -function psb_casumv(x,desc_a, info) result(res) +function psb_casumv(x,desc_a, info,global) result(res) use psb_base_mod, psb_protect_name => psb_casumv implicit none @@ -251,10 +275,12 @@ function psb_casumv(x,desc_a, info) result(res) type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info real(psb_spk_) :: res + logical, intent(in), optional :: global ! locals integer(psb_ipk_) :: ictxt, np, me,& & err_act, iix, jjx, jx, ix, m, i, idx, ndm, ldx + logical :: global_ character(len=20) :: name, ch_err name='psb_casumv' @@ -271,6 +297,12 @@ function psb_casumv(x,desc_a, info) result(res) goto 9999 endif + if (present(global)) then + global_ = global + else + global_ = .true. + end if + ix = 1 jx=1 @@ -307,7 +339,7 @@ function psb_casumv(x,desc_a, info) result(res) end if ! compute global sum - call psb_sum(ictxt, res) + if (global_) call psb_sum(ictxt, res) call psb_erractionrestore(err_act) return @@ -362,7 +394,7 @@ end function psb_casumv ! info - integer. Return code ! jx - integer(optional). The column offset. ! -subroutine psb_casumvs(res,x,desc_a, info) +subroutine psb_casumvs(res,x,desc_a, info,global) use psb_base_mod, psb_protect_name => psb_casumvs implicit none @@ -371,10 +403,12 @@ subroutine psb_casumvs(res,x,desc_a, info) real(psb_spk_), intent(out) :: res type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global ! locals integer(psb_ipk_) :: ictxt, np, me,& & err_act, iix, jjx, ix, jx, m, i, idx, ndm, ldx + logical :: global_ character(len=20) :: name, ch_err name='psb_casumvs' @@ -391,6 +425,12 @@ subroutine psb_casumvs(res,x,desc_a, info) goto 9999 endif + if (present(global)) then + global_ = global + else + global_ = .true. + end if + ix = 1 jx = 1 @@ -427,7 +467,7 @@ subroutine psb_casumvs(res,x,desc_a, info) end if ! compute global sum - call psb_sum(ictxt,res) + if (global_) call psb_sum(ictxt,res) call psb_erractionrestore(err_act) return diff --git a/base/psblas/psb_cdot.f90 b/base/psblas/psb_cdot.f90 index cf7d5f01..c6d545c6 100644 --- a/base/psblas/psb_cdot.f90 +++ b/base/psblas/psb_cdot.f90 @@ -48,7 +48,7 @@ ! jx - integer(optional). The column offset for sub( X ). ! jy - integer(optional). The column offset for sub( Y ). ! -function psb_cdot_vect(x, y, desc_a,info) result(res) +function psb_cdot_vect(x, y, desc_a,info,global) result(res) use psb_desc_mod use psb_c_base_mat_mod use psb_check_mod @@ -61,10 +61,12 @@ function psb_cdot_vect(x, y, desc_a,info) result(res) type(psb_c_vect_type), intent(inout) :: x, y type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global ! locals integer(psb_ipk_) :: ictxt, np, me, idx, ndm,& & err_act, iix, jjx, ix, ijx, iy, ijy, iiy, jjy, i, m, nr + logical :: global_ character(len=20) :: name, ch_err name='psb_cdot_vect' @@ -91,6 +93,11 @@ function psb_cdot_vect(x, y, desc_a,info) result(res) goto 9999 endif + if (present(global)) then + global_ = global + else + global_ = .true. + end if ix = ione ijx = ione @@ -122,17 +129,21 @@ function psb_cdot_vect(x, y, desc_a,info) result(res) res = x%dot(nr,y) ! FIXME ! adjust dot_local because overlapped elements are computed more than once -!!$ do i=1,size(desc_a%ovrlap_elem,1) -!!$ idx = desc_a%ovrlap_elem(i,1) -!!$ ndm = desc_a%ovrlap_elem(i,2) -!!$ dot_local = dot_local - (real(ndm-1)/real(ndm))*(x(idx)*y(idx)) -!!$ end do + if (size(desc_a%ovrlap_elem,1)>0) then + if (x%is_dev()) call x%sync() + if (y%is_dev()) call y%sync() + do i=1,size(desc_a%ovrlap_elem,1) + idx = desc_a%ovrlap_elem(i,1) + ndm = desc_a%ovrlap_elem(i,2) + res = res - (real(ndm-1)/real(ndm))*(x%v%v(idx)*y%v%v(idx)) + end do + end if else res = czero end if ! compute global sum - call psb_sum(ictxt, res) + if (global_) call psb_sum(ictxt, res) call psb_erractionrestore(err_act) return @@ -143,7 +154,7 @@ function psb_cdot_vect(x, y, desc_a,info) result(res) end function psb_cdot_vect -function psb_cdot(x, y,desc_a, info, jx, jy) result(res) +function psb_cdot(x, y,desc_a, info, jx, jy,global) result(res) use psb_base_mod, psb_protect_name => psb_cdot implicit none @@ -152,12 +163,14 @@ function psb_cdot(x, y,desc_a, info, jx, jy) result(res) integer(psb_ipk_), intent(in), optional :: jx, jy integer(psb_ipk_), intent(out) :: info complex(psb_spk_) :: res + logical, intent(in), optional :: global ! locals integer(psb_ipk_) :: ictxt, np, me, idx, ndm,& & err_act, iix, jjx, ix, ijx, iy, ijy, iiy, jjy, i, m, nr, & & lldx, lldy complex(psb_spk_) :: cdotc + logical :: global_ character(len=20) :: name, ch_err name='psb_cdot' @@ -193,6 +206,12 @@ function psb_cdot(x, y,desc_a, info, jx, jy) result(res) goto 9999 end if + if (present(global)) then + global_ = global + else + global_ = .true. + end if + m = desc_a%get_global_rows() lldx = size(x,1) lldy = size(y,1) @@ -228,7 +247,7 @@ function psb_cdot(x, y,desc_a, info, jx, jy) result(res) end if ! compute global sum - call psb_sum(ictxt, res) + if (global_) call psb_sum(ictxt, res) call psb_erractionrestore(err_act) return @@ -284,7 +303,7 @@ end function psb_cdot ! desc_a - type(psb_desc_type). The communication descriptor. ! info - integer. Return code ! -function psb_cdotv(x, y,desc_a, info) result(res) +function psb_cdotv(x, y,desc_a, info,global) result(res) use psb_base_mod, psb_protect_name => psb_cdotv implicit none @@ -292,11 +311,13 @@ function psb_cdotv(x, y,desc_a, info) result(res) type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info complex(psb_spk_) :: res + logical, intent(in), optional :: global ! locals integer(psb_ipk_) :: ictxt, np, me, idx, ndm,& & err_act, iix, jjx, ix, jx, iy, jy, iiy, jjy, i, m, nr, & & lldx, lldy + logical :: global_ complex(psb_spk_) :: cdotc character(len=20) :: name, ch_err @@ -314,6 +335,12 @@ function psb_cdotv(x, y,desc_a, info) result(res) goto 9999 endif + if (present(global)) then + global_ = global + else + global_ = .true. + end if + ix = ione iy = ione jx = ione @@ -352,7 +379,7 @@ function psb_cdotv(x, y,desc_a, info) result(res) end if ! compute global sum - call psb_sum(ictxt, res) + if (global_) call psb_sum(ictxt, res) call psb_erractionrestore(err_act) @@ -409,7 +436,7 @@ end function psb_cdotv ! desc_a - type(psb_desc_type). The communication descriptor. ! info - integer. Return code ! -subroutine psb_cdotvs(res, x, y,desc_a, info) +subroutine psb_cdotvs(res, x, y,desc_a, info,global) use psb_base_mod, psb_protect_name => psb_cdotvs implicit none @@ -417,11 +444,13 @@ subroutine psb_cdotvs(res, x, y,desc_a, info) complex(psb_spk_), intent(out) :: res type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global ! locals integer(psb_ipk_) :: ictxt, np, me, idx, ndm,& & err_act, iix, jjx, ix, iy, iiy, jjy, i, m,nr, & & lldx, lldy + logical :: global_ complex(psb_spk_) :: cdotc character(len=20) :: name, ch_err @@ -439,6 +468,12 @@ subroutine psb_cdotvs(res, x, y,desc_a, info) goto 9999 endif + if (present(global)) then + global_ = global + else + global_ = .true. + end if + ix = ione iy = ione m = desc_a%get_global_rows() @@ -475,7 +510,7 @@ subroutine psb_cdotvs(res, x, y,desc_a, info) end if ! compute global sum - call psb_sum(ictxt, res) + if (global_) call psb_sum(ictxt, res) call psb_erractionrestore(err_act) return @@ -532,7 +567,7 @@ end subroutine psb_cdotvs ! desc_a - type(psb_desc_type). The communication descriptor. ! info - integer. Return code ! -subroutine psb_cmdots(res, x, y, desc_a, info) +subroutine psb_cmdots(res, x, y, desc_a, info,global) use psb_base_mod, psb_protect_name => psb_cmdots implicit none @@ -540,11 +575,13 @@ subroutine psb_cmdots(res, x, y, desc_a, info) complex(psb_spk_), intent(out) :: res(:) type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global ! locals integer(psb_ipk_) :: ictxt, np, me, idx, ndm,& & err_act, iix, jjx, ix, iy, iiy, jjy, i, m, j, k, nr, & & lldx, lldy + logical :: global_ complex(psb_spk_) :: cdotc character(len=20) :: name, ch_err @@ -562,6 +599,11 @@ subroutine psb_cmdots(res, x, y, desc_a, info) goto 9999 endif + if (present(global)) then + global_ = global + else + global_ = .true. + end if ix = ione iy = ione @@ -611,7 +653,7 @@ subroutine psb_cmdots(res, x, y, desc_a, info) ! compute global sum - call psb_sum(ictxt, res(1:k)) + if (global_) call psb_sum(ictxt, res(1:k)) call psb_erractionrestore(err_act) return diff --git a/base/psblas/psb_cnrm2.f90 b/base/psblas/psb_cnrm2.f90 index 893e3843..f54db995 100644 --- a/base/psblas/psb_cnrm2.f90 +++ b/base/psblas/psb_cnrm2.f90 @@ -44,7 +44,7 @@ ! info - integer. Return code ! jx - integer(optional). The column offset for sub( X ). ! -function psb_cnrm2(x, desc_a, info, jx) result(res) +function psb_cnrm2(x, desc_a, info, jx,global) result(res) use psb_desc_mod use psb_check_mod use psb_error_mod @@ -56,10 +56,12 @@ function psb_cnrm2(x, desc_a, info, jx) result(res) integer(psb_ipk_), intent(in), optional :: jx integer(psb_ipk_), intent(out) :: info real(psb_spk_) :: res + logical, intent(in), optional :: global ! locals integer(psb_ipk_) :: ictxt, np, me,& & err_act, iix, jjx, ndim, ix, ijx, i, m, id, idx, ndm, ldx + logical :: global_ real(psb_spk_) :: scnrm2, dd character(len=20) :: name, ch_err @@ -84,6 +86,12 @@ function psb_cnrm2(x, desc_a, info, jx) result(res) ijx = 1 endif + if (present(global)) then + global_ = global + else + global_ = .true. + end if + m = desc_a%get_global_rows() ldx = size(x,1) call psb_chkvect(m,ione,ldx,ix,ijx,desc_a,info,iix,jjx) @@ -114,7 +122,7 @@ function psb_cnrm2(x, desc_a, info, jx) result(res) res = szero end if - call psb_nrm2(ictxt,res) + if (global_) call psb_nrm2(ictxt,res) call psb_erractionrestore(err_act) return @@ -168,7 +176,7 @@ end function psb_cnrm2 ! desc_a - type(psb_desc_type). The communication descriptor. ! info - integer. Return code ! -function psb_cnrm2v(x, desc_a, info) result(res) +function psb_cnrm2v(x, desc_a, info,global) result(res) use psb_desc_mod use psb_check_mod use psb_error_mod @@ -179,13 +187,13 @@ function psb_cnrm2v(x, desc_a, info) result(res) type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info real(psb_spk_) :: res + logical, intent(in), optional :: global ! locals integer(psb_ipk_) :: ictxt, np, me,& & err_act, iix, jjx, ndim, ix, jx, i, m, id, idx, ndm, ldx + logical :: global_ real(psb_spk_) :: scnrm2, dd - -!!$ external scombnrm2 character(len=20) :: name, ch_err name='psb_cnrm2v' @@ -202,6 +210,11 @@ function psb_cnrm2v(x, desc_a, info) result(res) goto 9999 endif + if (present(global)) then + global_ = global + else + global_ = .true. + end if ix = 1 jx=1 m = desc_a%get_global_rows() @@ -233,8 +246,7 @@ function psb_cnrm2v(x, desc_a, info) result(res) res = szero end if - call psb_nrm2(ictxt,res) - + if (global_) call psb_nrm2(ictxt,res) call psb_erractionrestore(err_act) return @@ -246,7 +258,7 @@ end function psb_cnrm2v -function psb_cnrm2_vect(x, desc_a, info) result(res) +function psb_cnrm2_vect(x, desc_a, info,global) result(res) use psb_desc_mod use psb_check_mod use psb_error_mod @@ -258,12 +270,13 @@ function psb_cnrm2_vect(x, desc_a, info) result(res) type(psb_c_vect_type), intent (inout) :: x type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global ! locals integer(psb_ipk_) :: ictxt, np, me,& & err_act, iix, jjx, ndim, ix, jx, i, m, id, idx, ndm, ldx + logical :: global_ real(psb_spk_) :: snrm2, dd -!!$ external dcombnrm2 character(len=20) :: name, ch_err name='psb_cnrm2v' @@ -286,6 +299,11 @@ function psb_cnrm2_vect(x, desc_a, info) result(res) goto 9999 endif + if (present(global)) then + global_ = global + else + global_ = .true. + end if ix = 1 jx=1 @@ -307,18 +325,21 @@ function psb_cnrm2_vect(x, desc_a, info) result(res) if (desc_a%get_local_rows() > 0) then ndim = desc_a%get_local_rows() res = x%nrm2(ndim) -!!$ ! adjust because overlapped elements are computed more than once -!!$ do i=1,size(desc_a%ovrlap_elem,1) -!!$ idx = desc_a%ovrlap_elem(i,1) -!!$ ndm = desc_a%ovrlap_elem(i,2) -!!$ dd = dble(ndm-1)/dble(ndm) -!!$ nrm2 = nrm2 * sqrt(done - dd*(abs(x(idx))/nrm2)**2) -!!$ end do - else + ! adjust because overlapped elements are computed more than once + if (size(desc_a%ovrlap_elem,1)>0) then + if (x%is_dev()) call x%sync() + do i=1,size(desc_a%ovrlap_elem,1) + idx = desc_a%ovrlap_elem(i,1) + ndm = desc_a%ovrlap_elem(i,2) + dd = dble(ndm-1)/dble(ndm) + res = res - sqrt(cone - dd*(abs(x%v%v(idx))/res)**2) + end do + end if + else res = szero end if - call psb_nrm2(ictxt,res) + if (global_) call psb_nrm2(ictxt,res) call psb_erractionrestore(err_act) return @@ -329,7 +350,6 @@ function psb_cnrm2_vect(x, desc_a, info) result(res) end function psb_cnrm2_vect - !!$ !!$ Parallel Sparse BLAS version 3.5 !!$ (C) Copyright 2006-2018 @@ -373,7 +393,7 @@ end function psb_cnrm2_vect ! desc_a - type(psb_desc_type). The communication descriptor. ! info - integer. Return code ! -subroutine psb_cnrm2vs(res, x, desc_a, info) +subroutine psb_cnrm2vs(res, x, desc_a, info,global) use psb_desc_mod use psb_check_mod use psb_error_mod @@ -384,13 +404,13 @@ subroutine psb_cnrm2vs(res, x, desc_a, info) real(psb_spk_), intent(out) :: res type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global ! locals integer(psb_ipk_) :: ictxt, np, me,& & err_act, iix, jjx, ndim, ix, jx, i, m, id, idx, ndm, ldx + logical :: global_ real(psb_spk_) :: nrm2, scnrm2, dd - -!!$ external scombnrm2 character(len=20) :: name, ch_err name='psb_cnrm2' @@ -407,6 +427,12 @@ subroutine psb_cnrm2vs(res, x, desc_a, info) goto 9999 endif + if (present(global)) then + global_ = global + else + global_ = .true. + end if + ix = 1 jx = 1 m = desc_a%get_global_rows() @@ -439,7 +465,7 @@ subroutine psb_cnrm2vs(res, x, desc_a, info) res = szero end if - call psb_nrm2(ictxt,res) + if (global_) call psb_nrm2(ictxt,res) call psb_erractionrestore(err_act) diff --git a/base/psblas/psb_cnrmi.f90 b/base/psblas/psb_cnrmi.f90 index fced0cbd..9a89a02a 100644 --- a/base/psblas/psb_cnrmi.f90 +++ b/base/psblas/psb_cnrmi.f90 @@ -41,7 +41,7 @@ ! desc_a - type(psb_desc_type). The communication descriptor. ! info - integer. Return code ! -function psb_cnrmi(a,desc_a,info) result(res) +function psb_cnrmi(a,desc_a,info,global) result(res) use psb_base_mod, psb_protect_name => psb_cnrmi implicit none @@ -49,10 +49,12 @@ function psb_cnrmi(a,desc_a,info) result(res) integer(psb_ipk_), intent(out) :: info type(psb_desc_type), intent(in) :: desc_a real(psb_spk_) :: res + logical, intent(in), optional :: global ! locals integer(psb_ipk_) :: ictxt, np, me,& & err_act, n, iia, jja, ia, ja, mdim, ndim, m + logical :: global_ character(len=20) :: name, ch_err name='psb_cnrmi' @@ -69,6 +71,12 @@ function psb_cnrmi(a,desc_a,info) result(res) goto 9999 endif + if (present(global)) then + global_ = global + else + global_ = .true. + end if + ia = 1 ja = 1 m = desc_a%get_global_rows() @@ -101,7 +109,7 @@ function psb_cnrmi(a,desc_a,info) result(res) end if ! compute global max - call psb_amx(ictxt, res) + if (global_) call psb_amx(ictxt, res) call psb_erractionrestore(err_act) return diff --git a/base/psblas/psb_cspnrm1.f90 b/base/psblas/psb_cspnrm1.f90 index 02a98424..79907295 100644 --- a/base/psblas/psb_cspnrm1.f90 +++ b/base/psblas/psb_cspnrm1.f90 @@ -41,7 +41,7 @@ ! desc_a - type(psb_desc_type). The communication descriptor. ! info - integer. Return code ! -function psb_cspnrm1(a,desc_a,info) result(res) +function psb_cspnrm1(a,desc_a,info,global) result(res) use psb_base_mod, psb_protect_name => psb_cspnrm1 implicit none @@ -49,10 +49,12 @@ function psb_cspnrm1(a,desc_a,info) result(res) integer(psb_ipk_), intent(out) :: info type(psb_desc_type), intent(in) :: desc_a real(psb_spk_) :: res + logical, intent(in), optional :: global ! locals integer(psb_ipk_) :: ictxt, np, me, nr,nc,& & err_act, n, iia, jja, ia, ja, mdim, ndim, m + logical :: global_ character(len=20) :: name, ch_err real(psb_spk_), allocatable :: v(:) @@ -70,6 +72,12 @@ function psb_cspnrm1(a,desc_a,info) result(res) goto 9999 endif + if (present(global)) then + global_ = global + else + global_ = .true. + end if + ia = 1 ja = 1 m = desc_a%get_global_rows() @@ -119,7 +127,7 @@ function psb_cspnrm1(a,desc_a,info) result(res) res = szero end if ! compute global max - call psb_amx(ictxt, res) + if (global_) call psb_amx(ictxt, res) call psb_erractionrestore(err_act) return diff --git a/base/psblas/psb_damax.f90 b/base/psblas/psb_damax.f90 index b04e9646..4307ba08 100644 --- a/base/psblas/psb_damax.f90 +++ b/base/psblas/psb_damax.f90 @@ -44,7 +44,7 @@ ! info - integer. Return code ! jx - integer(optional). The column offset. ! -function psb_damax(x,desc_a, info, jx) result(res) +function psb_damax(x,desc_a, info, jx,global) result(res) use psb_base_mod, psb_protect_name => psb_damax implicit none @@ -54,10 +54,12 @@ function psb_damax(x,desc_a, info, jx) result(res) integer(psb_ipk_), intent(out) :: info integer(psb_ipk_), optional, intent(in) :: jx real(psb_dpk_) :: res + logical, intent(in), optional :: global ! locals integer(psb_ipk_) :: ictxt, np, me,& & err_act, iix, jjx, ix, ijx, m, ldx + logical :: global_ character(len=20) :: name, ch_err name='psb_damax' @@ -82,6 +84,12 @@ function psb_damax(x,desc_a, info, jx) result(res) ijx = 1 endif + if (present(global)) then + global_ = global + else + global_ = .true. + end if + m = desc_a%get_global_rows() ldx = size(x,1) @@ -107,7 +115,7 @@ function psb_damax(x,desc_a, info, jx) result(res) end if ! compute global max - call psb_amx(ictxt, res) + if (global_) call psb_amx(ictxt, res) call psb_erractionrestore(err_act) return @@ -162,7 +170,7 @@ end function psb_damax ! desc_a - type(psb_desc_type). The communication descriptor. ! info - integer. Return code ! -function psb_damaxv (x,desc_a, info) result(res) +function psb_damaxv (x,desc_a, info,global) result(res) use psb_base_mod, psb_protect_name => psb_damaxv implicit none @@ -171,11 +179,12 @@ function psb_damaxv (x,desc_a, info) result(res) type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info real(psb_dpk_) :: res + logical, intent(in), optional :: global ! locals integer(psb_ipk_) :: ictxt, np, me,& & err_act, iix, jjx, jx, ix, m, ldx - + logical :: global_ character(len=20) :: name, ch_err name='psb_damaxv' @@ -193,6 +202,12 @@ function psb_damaxv (x,desc_a, info) result(res) goto 9999 endif + if (present(global)) then + global_ = global + else + global_ = .true. + end if + ix = 1 jx = 1 @@ -221,7 +236,7 @@ function psb_damaxv (x,desc_a, info) result(res) end if ! compute global max - call psb_amx(ictxt, res) + if (global_) call psb_amx(ictxt, res) call psb_erractionrestore(err_act) return @@ -232,7 +247,7 @@ function psb_damaxv (x,desc_a, info) result(res) end function psb_damaxv -function psb_damax_vect(x, desc_a, info) result(res) +function psb_damax_vect(x, desc_a, info,global) result(res) use psb_penv_mod use psb_serial_mod use psb_desc_mod @@ -245,10 +260,12 @@ function psb_damax_vect(x, desc_a, info) result(res) type(psb_d_vect_type), intent (inout) :: x type(psb_desc_type), intent (in) :: desc_a integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global ! locals integer(psb_ipk_) :: ictxt, np, me,& & err_act, iix, jjx, jx, ix, m + logical :: global_ character(len=20) :: name, ch_err name='psb_damaxv' @@ -271,6 +288,12 @@ function psb_damax_vect(x, desc_a, info) result(res) goto 9999 endif + if (present(global)) then + global_ = global + else + global_ = .true. + end if + ix = 1 jx = 1 @@ -297,7 +320,7 @@ function psb_damax_vect(x, desc_a, info) result(res) end if ! compute global max - call psb_amx(ictxt, res) + if (global_) call psb_amx(ictxt, res) call psb_erractionrestore(err_act) return @@ -355,7 +378,7 @@ end function psb_damax_vect ! info - integer. Return code ! jx - integer(optional). The column offset. ! -subroutine psb_damaxvs(res,x,desc_a, info) +subroutine psb_damaxvs(res,x,desc_a, info,global) use psb_base_mod, psb_protect_name => psb_damaxvs implicit none @@ -364,10 +387,12 @@ subroutine psb_damaxvs(res,x,desc_a, info) type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info real(psb_dpk_), intent(out) :: res + logical, intent(in), optional :: global ! locals integer(psb_ipk_) :: ictxt, np, me,& & err_act, iix, jjx, ix, ijx, m, ldx + logical :: global_ character(len=20) :: name, ch_err name='psb_damaxvs' @@ -385,6 +410,12 @@ subroutine psb_damaxvs(res,x,desc_a, info) goto 9999 endif + if (present(global)) then + global_ = global + else + global_ = .true. + end if + ix = 1 ijx=1 @@ -412,7 +443,7 @@ subroutine psb_damaxvs(res,x,desc_a, info) end if ! compute global max - call psb_amx(ictxt, res) + if (global_) call psb_amx(ictxt, res) call psb_erractionrestore(err_act) return @@ -466,7 +497,7 @@ end subroutine psb_damaxvs ! desc_a - type(psb_desc_type). The communication descriptor. ! info - integer. Return code ! -subroutine psb_dmamaxs(res,x,desc_a, info,jx) +subroutine psb_dmamaxs(res,x,desc_a, info,jx,global) use psb_base_mod, psb_protect_name => psb_dmamaxs implicit none @@ -476,10 +507,12 @@ subroutine psb_dmamaxs(res,x,desc_a, info,jx) integer(psb_ipk_), intent(out) :: info integer(psb_ipk_), optional, intent(in) :: jx real(psb_dpk_), intent(out) :: res(:) + logical, intent(in), optional :: global ! locals integer(psb_ipk_) :: ictxt, np, me,& & err_act, iix, jjx, ix, ijx, m, ldx, i, k + logical :: global_ character(len=20) :: name, ch_err name='psb_dmamaxs' @@ -503,6 +536,12 @@ subroutine psb_dmamaxs(res,x,desc_a, info,jx) ijx = 1 endif + if (present(global)) then + global_ = global + else + global_ = .true. + end if + m = desc_a%get_global_rows() k = min(size(x,2),size(res,1)) ldx = size(x,1) @@ -529,7 +568,7 @@ subroutine psb_dmamaxs(res,x,desc_a, info,jx) end if ! compute global max - call psb_amx(ictxt, res(1:k)) + if (global_) call psb_amx(ictxt, res(1:k)) call psb_erractionrestore(err_act) return diff --git a/base/psblas/psb_dasum.f90 b/base/psblas/psb_dasum.f90 index 4871c29f..654df8ef 100644 --- a/base/psblas/psb_dasum.f90 +++ b/base/psblas/psb_dasum.f90 @@ -44,7 +44,7 @@ ! info - integer. Return code ! jx - integer(optional). The column offset. ! -function psb_dasum (x,desc_a, info, jx) result(res) +function psb_dasum (x,desc_a, info, jx,global) result(res) use psb_base_mod, psb_protect_name => psb_dasum implicit none @@ -54,10 +54,12 @@ function psb_dasum (x,desc_a, info, jx) result(res) integer(psb_ipk_), intent(out) :: info integer(psb_ipk_), optional, intent(in) :: jx real(psb_dpk_) :: res + logical, intent(in), optional :: global ! locals integer(psb_ipk_) :: ictxt, np, me, & & err_act, iix, jjx, ix, ijx, m, i, idx, ndm, ldx + logical :: global_ character(len=20) :: name, ch_err name='psb_dasum' @@ -82,6 +84,12 @@ function psb_dasum (x,desc_a, info, jx) result(res) ijx = 1 endif + if (present(global)) then + global_ = global + else + global_ = .true. + end if + m = desc_a%get_global_rows() ldx = size(x,1) ! check vector correctness @@ -114,7 +122,7 @@ function psb_dasum (x,desc_a, info, jx) result(res) res = dzero end if ! compute global sum - call psb_sum(ictxt, res) + if (global_) call psb_sum(ictxt, res) call psb_erractionrestore(err_act) return @@ -125,7 +133,7 @@ function psb_dasum (x,desc_a, info, jx) result(res) end function psb_dasum -function psb_dasum_vect(x, desc_a, info) result(res) +function psb_dasum_vect(x, desc_a, info,global) result(res) use psb_base_mod, psb_protect_name => psb_dasum_vect implicit none @@ -133,10 +141,12 @@ function psb_dasum_vect(x, desc_a, info) result(res) type(psb_d_vect_type), intent (inout) :: x type(psb_desc_type), intent (in) :: desc_a integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global ! locals integer(psb_ipk_) :: ictxt, np, me,& - & err_act, iix, jjx, jx, ix, m, imax + & err_act, iix, jjx, jx, ix, m, imax, i, idx, ndm + logical :: global_ character(len=20) :: name, ch_err name='psb_dasumv' @@ -160,6 +170,11 @@ function psb_dasum_vect(x, desc_a, info) result(res) goto 9999 endif + if (present(global)) then + global_ = global + else + global_ = .true. + end if ix = 1 jx = 1 @@ -182,12 +197,21 @@ function psb_dasum_vect(x, desc_a, info) result(res) ! compute local max if ((desc_a%get_local_rows() > 0).and.(m /= 0)) then res = x%asum(desc_a%get_local_rows()) + if (size(desc_a%ovrlap_elem,1)>0) then + if (x%is_dev()) call x%sync() + ! adjust res because overlapped elements are computed more than once + do i=1,size(desc_a%ovrlap_elem,1) + idx = desc_a%ovrlap_elem(i,1) + ndm = desc_a%ovrlap_elem(i,2) + res = res - (real(ndm-1)/real(ndm))*abs(x%v%v(idx)) + end do + end if else res = dzero end if ! compute global sum - call psb_sum(ictxt, res) + if (global_) call psb_sum(ictxt, res) call psb_erractionrestore(err_act) return @@ -242,7 +266,7 @@ end function psb_dasum_vect ! desc_a - type(psb_desc_type). The communication descriptor. ! info - integer. Return code ! -function psb_dasumv(x,desc_a, info) result(res) +function psb_dasumv(x,desc_a, info,global) result(res) use psb_base_mod, psb_protect_name => psb_dasumv implicit none @@ -251,10 +275,12 @@ function psb_dasumv(x,desc_a, info) result(res) type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info real(psb_dpk_) :: res + logical, intent(in), optional :: global ! locals integer(psb_ipk_) :: ictxt, np, me,& & err_act, iix, jjx, jx, ix, m, i, idx, ndm, ldx + logical :: global_ character(len=20) :: name, ch_err name='psb_dasumv' @@ -271,6 +297,12 @@ function psb_dasumv(x,desc_a, info) result(res) goto 9999 endif + if (present(global)) then + global_ = global + else + global_ = .true. + end if + ix = 1 jx=1 @@ -307,7 +339,7 @@ function psb_dasumv(x,desc_a, info) result(res) end if ! compute global sum - call psb_sum(ictxt, res) + if (global_) call psb_sum(ictxt, res) call psb_erractionrestore(err_act) return @@ -362,7 +394,7 @@ end function psb_dasumv ! info - integer. Return code ! jx - integer(optional). The column offset. ! -subroutine psb_dasumvs(res,x,desc_a, info) +subroutine psb_dasumvs(res,x,desc_a, info,global) use psb_base_mod, psb_protect_name => psb_dasumvs implicit none @@ -371,10 +403,12 @@ subroutine psb_dasumvs(res,x,desc_a, info) real(psb_dpk_), intent(out) :: res type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global ! locals integer(psb_ipk_) :: ictxt, np, me,& & err_act, iix, jjx, ix, jx, m, i, idx, ndm, ldx + logical :: global_ character(len=20) :: name, ch_err name='psb_dasumvs' @@ -391,6 +425,12 @@ subroutine psb_dasumvs(res,x,desc_a, info) goto 9999 endif + if (present(global)) then + global_ = global + else + global_ = .true. + end if + ix = 1 jx = 1 @@ -427,7 +467,7 @@ subroutine psb_dasumvs(res,x,desc_a, info) end if ! compute global sum - call psb_sum(ictxt,res) + if (global_) call psb_sum(ictxt,res) call psb_erractionrestore(err_act) return diff --git a/base/psblas/psb_ddot.f90 b/base/psblas/psb_ddot.f90 index 2a2b00f3..a679003f 100644 --- a/base/psblas/psb_ddot.f90 +++ b/base/psblas/psb_ddot.f90 @@ -48,7 +48,7 @@ ! jx - integer(optional). The column offset for sub( X ). ! jy - integer(optional). The column offset for sub( Y ). ! -function psb_ddot_vect(x, y, desc_a,info) result(res) +function psb_ddot_vect(x, y, desc_a,info,global) result(res) use psb_desc_mod use psb_d_base_mat_mod use psb_check_mod @@ -61,10 +61,12 @@ function psb_ddot_vect(x, y, desc_a,info) result(res) type(psb_d_vect_type), intent(inout) :: x, y type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global ! locals integer(psb_ipk_) :: ictxt, np, me, idx, ndm,& & err_act, iix, jjx, ix, ijx, iy, ijy, iiy, jjy, i, m, nr + logical :: global_ character(len=20) :: name, ch_err name='psb_ddot_vect' @@ -91,6 +93,11 @@ function psb_ddot_vect(x, y, desc_a,info) result(res) goto 9999 endif + if (present(global)) then + global_ = global + else + global_ = .true. + end if ix = ione ijx = ione @@ -122,17 +129,21 @@ function psb_ddot_vect(x, y, desc_a,info) result(res) res = x%dot(nr,y) ! FIXME ! adjust dot_local because overlapped elements are computed more than once -!!$ do i=1,size(desc_a%ovrlap_elem,1) -!!$ idx = desc_a%ovrlap_elem(i,1) -!!$ ndm = desc_a%ovrlap_elem(i,2) -!!$ dot_local = dot_local - (real(ndm-1)/real(ndm))*(x(idx)*y(idx)) -!!$ end do + if (size(desc_a%ovrlap_elem,1)>0) then + if (x%is_dev()) call x%sync() + if (y%is_dev()) call y%sync() + do i=1,size(desc_a%ovrlap_elem,1) + idx = desc_a%ovrlap_elem(i,1) + ndm = desc_a%ovrlap_elem(i,2) + res = res - (real(ndm-1)/real(ndm))*(x%v%v(idx)*y%v%v(idx)) + end do + end if else res = dzero end if ! compute global sum - call psb_sum(ictxt, res) + if (global_) call psb_sum(ictxt, res) call psb_erractionrestore(err_act) return @@ -143,7 +154,7 @@ function psb_ddot_vect(x, y, desc_a,info) result(res) end function psb_ddot_vect -function psb_ddot(x, y,desc_a, info, jx, jy) result(res) +function psb_ddot(x, y,desc_a, info, jx, jy,global) result(res) use psb_base_mod, psb_protect_name => psb_ddot implicit none @@ -152,12 +163,14 @@ function psb_ddot(x, y,desc_a, info, jx, jy) result(res) integer(psb_ipk_), intent(in), optional :: jx, jy integer(psb_ipk_), intent(out) :: info real(psb_dpk_) :: res + logical, intent(in), optional :: global ! locals integer(psb_ipk_) :: ictxt, np, me, idx, ndm,& & err_act, iix, jjx, ix, ijx, iy, ijy, iiy, jjy, i, m, nr, & & lldx, lldy real(psb_dpk_) :: ddot + logical :: global_ character(len=20) :: name, ch_err name='psb_ddot' @@ -193,6 +206,12 @@ function psb_ddot(x, y,desc_a, info, jx, jy) result(res) goto 9999 end if + if (present(global)) then + global_ = global + else + global_ = .true. + end if + m = desc_a%get_global_rows() lldx = size(x,1) lldy = size(y,1) @@ -228,7 +247,7 @@ function psb_ddot(x, y,desc_a, info, jx, jy) result(res) end if ! compute global sum - call psb_sum(ictxt, res) + if (global_) call psb_sum(ictxt, res) call psb_erractionrestore(err_act) return @@ -284,7 +303,7 @@ end function psb_ddot ! desc_a - type(psb_desc_type). The communication descriptor. ! info - integer. Return code ! -function psb_ddotv(x, y,desc_a, info) result(res) +function psb_ddotv(x, y,desc_a, info,global) result(res) use psb_base_mod, psb_protect_name => psb_ddotv implicit none @@ -292,11 +311,13 @@ function psb_ddotv(x, y,desc_a, info) result(res) type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info real(psb_dpk_) :: res + logical, intent(in), optional :: global ! locals integer(psb_ipk_) :: ictxt, np, me, idx, ndm,& & err_act, iix, jjx, ix, jx, iy, jy, iiy, jjy, i, m, nr, & & lldx, lldy + logical :: global_ real(psb_dpk_) :: ddot character(len=20) :: name, ch_err @@ -314,6 +335,12 @@ function psb_ddotv(x, y,desc_a, info) result(res) goto 9999 endif + if (present(global)) then + global_ = global + else + global_ = .true. + end if + ix = ione iy = ione jx = ione @@ -352,7 +379,7 @@ function psb_ddotv(x, y,desc_a, info) result(res) end if ! compute global sum - call psb_sum(ictxt, res) + if (global_) call psb_sum(ictxt, res) call psb_erractionrestore(err_act) @@ -409,7 +436,7 @@ end function psb_ddotv ! desc_a - type(psb_desc_type). The communication descriptor. ! info - integer. Return code ! -subroutine psb_ddotvs(res, x, y,desc_a, info) +subroutine psb_ddotvs(res, x, y,desc_a, info,global) use psb_base_mod, psb_protect_name => psb_ddotvs implicit none @@ -417,11 +444,13 @@ subroutine psb_ddotvs(res, x, y,desc_a, info) real(psb_dpk_), intent(out) :: res type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global ! locals integer(psb_ipk_) :: ictxt, np, me, idx, ndm,& & err_act, iix, jjx, ix, iy, iiy, jjy, i, m,nr, & & lldx, lldy + logical :: global_ real(psb_dpk_) :: ddot character(len=20) :: name, ch_err @@ -439,6 +468,12 @@ subroutine psb_ddotvs(res, x, y,desc_a, info) goto 9999 endif + if (present(global)) then + global_ = global + else + global_ = .true. + end if + ix = ione iy = ione m = desc_a%get_global_rows() @@ -475,7 +510,7 @@ subroutine psb_ddotvs(res, x, y,desc_a, info) end if ! compute global sum - call psb_sum(ictxt, res) + if (global_) call psb_sum(ictxt, res) call psb_erractionrestore(err_act) return @@ -532,7 +567,7 @@ end subroutine psb_ddotvs ! desc_a - type(psb_desc_type). The communication descriptor. ! info - integer. Return code ! -subroutine psb_dmdots(res, x, y, desc_a, info) +subroutine psb_dmdots(res, x, y, desc_a, info,global) use psb_base_mod, psb_protect_name => psb_dmdots implicit none @@ -540,11 +575,13 @@ subroutine psb_dmdots(res, x, y, desc_a, info) real(psb_dpk_), intent(out) :: res(:) type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global ! locals integer(psb_ipk_) :: ictxt, np, me, idx, ndm,& & err_act, iix, jjx, ix, iy, iiy, jjy, i, m, j, k, nr, & & lldx, lldy + logical :: global_ real(psb_dpk_) :: ddot character(len=20) :: name, ch_err @@ -562,6 +599,11 @@ subroutine psb_dmdots(res, x, y, desc_a, info) goto 9999 endif + if (present(global)) then + global_ = global + else + global_ = .true. + end if ix = ione iy = ione @@ -611,7 +653,7 @@ subroutine psb_dmdots(res, x, y, desc_a, info) ! compute global sum - call psb_sum(ictxt, res(1:k)) + if (global_) call psb_sum(ictxt, res(1:k)) call psb_erractionrestore(err_act) return diff --git a/base/psblas/psb_dnrm2.f90 b/base/psblas/psb_dnrm2.f90 index 14e83d00..66eeca93 100644 --- a/base/psblas/psb_dnrm2.f90 +++ b/base/psblas/psb_dnrm2.f90 @@ -44,7 +44,7 @@ ! info - integer. Return code ! jx - integer(optional). The column offset for sub( X ). ! -function psb_dnrm2(x, desc_a, info, jx) result(res) +function psb_dnrm2(x, desc_a, info, jx,global) result(res) use psb_desc_mod use psb_check_mod use psb_error_mod @@ -56,10 +56,12 @@ function psb_dnrm2(x, desc_a, info, jx) result(res) integer(psb_ipk_), intent(in), optional :: jx integer(psb_ipk_), intent(out) :: info real(psb_dpk_) :: res + logical, intent(in), optional :: global ! locals integer(psb_ipk_) :: ictxt, np, me,& & err_act, iix, jjx, ndim, ix, ijx, i, m, id, idx, ndm, ldx + logical :: global_ real(psb_dpk_) :: dnrm2, dd character(len=20) :: name, ch_err @@ -84,6 +86,12 @@ function psb_dnrm2(x, desc_a, info, jx) result(res) ijx = 1 endif + if (present(global)) then + global_ = global + else + global_ = .true. + end if + m = desc_a%get_global_rows() ldx = size(x,1) call psb_chkvect(m,ione,ldx,ix,ijx,desc_a,info,iix,jjx) @@ -114,7 +122,7 @@ function psb_dnrm2(x, desc_a, info, jx) result(res) res = dzero end if - call psb_nrm2(ictxt,res) + if (global_) call psb_nrm2(ictxt,res) call psb_erractionrestore(err_act) return @@ -168,7 +176,7 @@ end function psb_dnrm2 ! desc_a - type(psb_desc_type). The communication descriptor. ! info - integer. Return code ! -function psb_dnrm2v(x, desc_a, info) result(res) +function psb_dnrm2v(x, desc_a, info,global) result(res) use psb_desc_mod use psb_check_mod use psb_error_mod @@ -179,13 +187,13 @@ function psb_dnrm2v(x, desc_a, info) result(res) type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info real(psb_dpk_) :: res + logical, intent(in), optional :: global ! locals integer(psb_ipk_) :: ictxt, np, me,& & err_act, iix, jjx, ndim, ix, jx, i, m, id, idx, ndm, ldx + logical :: global_ real(psb_dpk_) :: dnrm2, dd - -!!$ external scombnrm2 character(len=20) :: name, ch_err name='psb_dnrm2v' @@ -202,6 +210,11 @@ function psb_dnrm2v(x, desc_a, info) result(res) goto 9999 endif + if (present(global)) then + global_ = global + else + global_ = .true. + end if ix = 1 jx=1 m = desc_a%get_global_rows() @@ -233,8 +246,7 @@ function psb_dnrm2v(x, desc_a, info) result(res) res = dzero end if - call psb_nrm2(ictxt,res) - + if (global_) call psb_nrm2(ictxt,res) call psb_erractionrestore(err_act) return @@ -246,7 +258,7 @@ end function psb_dnrm2v -function psb_dnrm2_vect(x, desc_a, info) result(res) +function psb_dnrm2_vect(x, desc_a, info,global) result(res) use psb_desc_mod use psb_check_mod use psb_error_mod @@ -258,12 +270,13 @@ function psb_dnrm2_vect(x, desc_a, info) result(res) type(psb_d_vect_type), intent (inout) :: x type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global ! locals integer(psb_ipk_) :: ictxt, np, me,& & err_act, iix, jjx, ndim, ix, jx, i, m, id, idx, ndm, ldx + logical :: global_ real(psb_dpk_) :: snrm2, dd -!!$ external dcombnrm2 character(len=20) :: name, ch_err name='psb_dnrm2v' @@ -286,6 +299,11 @@ function psb_dnrm2_vect(x, desc_a, info) result(res) goto 9999 endif + if (present(global)) then + global_ = global + else + global_ = .true. + end if ix = 1 jx=1 @@ -307,18 +325,21 @@ function psb_dnrm2_vect(x, desc_a, info) result(res) if (desc_a%get_local_rows() > 0) then ndim = desc_a%get_local_rows() res = x%nrm2(ndim) -!!$ ! adjust because overlapped elements are computed more than once -!!$ do i=1,size(desc_a%ovrlap_elem,1) -!!$ idx = desc_a%ovrlap_elem(i,1) -!!$ ndm = desc_a%ovrlap_elem(i,2) -!!$ dd = dble(ndm-1)/dble(ndm) -!!$ nrm2 = nrm2 * sqrt(done - dd*(abs(x(idx))/nrm2)**2) -!!$ end do - else + ! adjust because overlapped elements are computed more than once + if (size(desc_a%ovrlap_elem,1)>0) then + if (x%is_dev()) call x%sync() + do i=1,size(desc_a%ovrlap_elem,1) + idx = desc_a%ovrlap_elem(i,1) + ndm = desc_a%ovrlap_elem(i,2) + dd = dble(ndm-1)/dble(ndm) + res = res - sqrt(done - dd*(abs(x%v%v(idx))/res)**2) + end do + end if + else res = dzero end if - call psb_nrm2(ictxt,res) + if (global_) call psb_nrm2(ictxt,res) call psb_erractionrestore(err_act) return @@ -329,7 +350,6 @@ function psb_dnrm2_vect(x, desc_a, info) result(res) end function psb_dnrm2_vect - !!$ !!$ Parallel Sparse BLAS version 3.5 !!$ (C) Copyright 2006-2018 @@ -373,7 +393,7 @@ end function psb_dnrm2_vect ! desc_a - type(psb_desc_type). The communication descriptor. ! info - integer. Return code ! -subroutine psb_dnrm2vs(res, x, desc_a, info) +subroutine psb_dnrm2vs(res, x, desc_a, info,global) use psb_desc_mod use psb_check_mod use psb_error_mod @@ -384,13 +404,13 @@ subroutine psb_dnrm2vs(res, x, desc_a, info) real(psb_dpk_), intent(out) :: res type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global ! locals integer(psb_ipk_) :: ictxt, np, me,& & err_act, iix, jjx, ndim, ix, jx, i, m, id, idx, ndm, ldx + logical :: global_ real(psb_dpk_) :: nrm2, dnrm2, dd - -!!$ external scombnrm2 character(len=20) :: name, ch_err name='psb_dnrm2' @@ -407,6 +427,12 @@ subroutine psb_dnrm2vs(res, x, desc_a, info) goto 9999 endif + if (present(global)) then + global_ = global + else + global_ = .true. + end if + ix = 1 jx = 1 m = desc_a%get_global_rows() @@ -439,7 +465,7 @@ subroutine psb_dnrm2vs(res, x, desc_a, info) res = dzero end if - call psb_nrm2(ictxt,res) + if (global_) call psb_nrm2(ictxt,res) call psb_erractionrestore(err_act) diff --git a/base/psblas/psb_dnrmi.f90 b/base/psblas/psb_dnrmi.f90 index 1dca687d..9cb0edfe 100644 --- a/base/psblas/psb_dnrmi.f90 +++ b/base/psblas/psb_dnrmi.f90 @@ -41,7 +41,7 @@ ! desc_a - type(psb_desc_type). The communication descriptor. ! info - integer. Return code ! -function psb_dnrmi(a,desc_a,info) result(res) +function psb_dnrmi(a,desc_a,info,global) result(res) use psb_base_mod, psb_protect_name => psb_dnrmi implicit none @@ -49,10 +49,12 @@ function psb_dnrmi(a,desc_a,info) result(res) integer(psb_ipk_), intent(out) :: info type(psb_desc_type), intent(in) :: desc_a real(psb_dpk_) :: res + logical, intent(in), optional :: global ! locals integer(psb_ipk_) :: ictxt, np, me,& & err_act, n, iia, jja, ia, ja, mdim, ndim, m + logical :: global_ character(len=20) :: name, ch_err name='psb_dnrmi' @@ -69,6 +71,12 @@ function psb_dnrmi(a,desc_a,info) result(res) goto 9999 endif + if (present(global)) then + global_ = global + else + global_ = .true. + end if + ia = 1 ja = 1 m = desc_a%get_global_rows() @@ -101,7 +109,7 @@ function psb_dnrmi(a,desc_a,info) result(res) end if ! compute global max - call psb_amx(ictxt, res) + if (global_) call psb_amx(ictxt, res) call psb_erractionrestore(err_act) return diff --git a/base/psblas/psb_dspnrm1.f90 b/base/psblas/psb_dspnrm1.f90 index 9afab5e9..dff6a232 100644 --- a/base/psblas/psb_dspnrm1.f90 +++ b/base/psblas/psb_dspnrm1.f90 @@ -41,7 +41,7 @@ ! desc_a - type(psb_desc_type). The communication descriptor. ! info - integer. Return code ! -function psb_dspnrm1(a,desc_a,info) result(res) +function psb_dspnrm1(a,desc_a,info,global) result(res) use psb_base_mod, psb_protect_name => psb_dspnrm1 implicit none @@ -49,10 +49,12 @@ function psb_dspnrm1(a,desc_a,info) result(res) integer(psb_ipk_), intent(out) :: info type(psb_desc_type), intent(in) :: desc_a real(psb_dpk_) :: res + logical, intent(in), optional :: global ! locals integer(psb_ipk_) :: ictxt, np, me, nr,nc,& & err_act, n, iia, jja, ia, ja, mdim, ndim, m + logical :: global_ character(len=20) :: name, ch_err real(psb_dpk_), allocatable :: v(:) @@ -70,6 +72,12 @@ function psb_dspnrm1(a,desc_a,info) result(res) goto 9999 endif + if (present(global)) then + global_ = global + else + global_ = .true. + end if + ia = 1 ja = 1 m = desc_a%get_global_rows() @@ -119,7 +127,7 @@ function psb_dspnrm1(a,desc_a,info) result(res) res = dzero end if ! compute global max - call psb_amx(ictxt, res) + if (global_) call psb_amx(ictxt, res) call psb_erractionrestore(err_act) return diff --git a/base/psblas/psb_samax.f90 b/base/psblas/psb_samax.f90 index 456be8c6..a92ceb91 100644 --- a/base/psblas/psb_samax.f90 +++ b/base/psblas/psb_samax.f90 @@ -44,7 +44,7 @@ ! info - integer. Return code ! jx - integer(optional). The column offset. ! -function psb_samax(x,desc_a, info, jx) result(res) +function psb_samax(x,desc_a, info, jx,global) result(res) use psb_base_mod, psb_protect_name => psb_samax implicit none @@ -54,10 +54,12 @@ function psb_samax(x,desc_a, info, jx) result(res) integer(psb_ipk_), intent(out) :: info integer(psb_ipk_), optional, intent(in) :: jx real(psb_spk_) :: res + logical, intent(in), optional :: global ! locals integer(psb_ipk_) :: ictxt, np, me,& & err_act, iix, jjx, ix, ijx, m, ldx + logical :: global_ character(len=20) :: name, ch_err name='psb_samax' @@ -82,6 +84,12 @@ function psb_samax(x,desc_a, info, jx) result(res) ijx = 1 endif + if (present(global)) then + global_ = global + else + global_ = .true. + end if + m = desc_a%get_global_rows() ldx = size(x,1) @@ -107,7 +115,7 @@ function psb_samax(x,desc_a, info, jx) result(res) end if ! compute global max - call psb_amx(ictxt, res) + if (global_) call psb_amx(ictxt, res) call psb_erractionrestore(err_act) return @@ -162,7 +170,7 @@ end function psb_samax ! desc_a - type(psb_desc_type). The communication descriptor. ! info - integer. Return code ! -function psb_samaxv (x,desc_a, info) result(res) +function psb_samaxv (x,desc_a, info,global) result(res) use psb_base_mod, psb_protect_name => psb_samaxv implicit none @@ -171,11 +179,12 @@ function psb_samaxv (x,desc_a, info) result(res) type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info real(psb_spk_) :: res + logical, intent(in), optional :: global ! locals integer(psb_ipk_) :: ictxt, np, me,& & err_act, iix, jjx, jx, ix, m, ldx - + logical :: global_ character(len=20) :: name, ch_err name='psb_samaxv' @@ -193,6 +202,12 @@ function psb_samaxv (x,desc_a, info) result(res) goto 9999 endif + if (present(global)) then + global_ = global + else + global_ = .true. + end if + ix = 1 jx = 1 @@ -221,7 +236,7 @@ function psb_samaxv (x,desc_a, info) result(res) end if ! compute global max - call psb_amx(ictxt, res) + if (global_) call psb_amx(ictxt, res) call psb_erractionrestore(err_act) return @@ -232,7 +247,7 @@ function psb_samaxv (x,desc_a, info) result(res) end function psb_samaxv -function psb_samax_vect(x, desc_a, info) result(res) +function psb_samax_vect(x, desc_a, info,global) result(res) use psb_penv_mod use psb_serial_mod use psb_desc_mod @@ -245,10 +260,12 @@ function psb_samax_vect(x, desc_a, info) result(res) type(psb_s_vect_type), intent (inout) :: x type(psb_desc_type), intent (in) :: desc_a integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global ! locals integer(psb_ipk_) :: ictxt, np, me,& & err_act, iix, jjx, jx, ix, m + logical :: global_ character(len=20) :: name, ch_err name='psb_samaxv' @@ -271,6 +288,12 @@ function psb_samax_vect(x, desc_a, info) result(res) goto 9999 endif + if (present(global)) then + global_ = global + else + global_ = .true. + end if + ix = 1 jx = 1 @@ -297,7 +320,7 @@ function psb_samax_vect(x, desc_a, info) result(res) end if ! compute global max - call psb_amx(ictxt, res) + if (global_) call psb_amx(ictxt, res) call psb_erractionrestore(err_act) return @@ -355,7 +378,7 @@ end function psb_samax_vect ! info - integer. Return code ! jx - integer(optional). The column offset. ! -subroutine psb_samaxvs(res,x,desc_a, info) +subroutine psb_samaxvs(res,x,desc_a, info,global) use psb_base_mod, psb_protect_name => psb_samaxvs implicit none @@ -364,10 +387,12 @@ subroutine psb_samaxvs(res,x,desc_a, info) type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info real(psb_spk_), intent(out) :: res + logical, intent(in), optional :: global ! locals integer(psb_ipk_) :: ictxt, np, me,& & err_act, iix, jjx, ix, ijx, m, ldx + logical :: global_ character(len=20) :: name, ch_err name='psb_samaxvs' @@ -385,6 +410,12 @@ subroutine psb_samaxvs(res,x,desc_a, info) goto 9999 endif + if (present(global)) then + global_ = global + else + global_ = .true. + end if + ix = 1 ijx=1 @@ -412,7 +443,7 @@ subroutine psb_samaxvs(res,x,desc_a, info) end if ! compute global max - call psb_amx(ictxt, res) + if (global_) call psb_amx(ictxt, res) call psb_erractionrestore(err_act) return @@ -466,7 +497,7 @@ end subroutine psb_samaxvs ! desc_a - type(psb_desc_type). The communication descriptor. ! info - integer. Return code ! -subroutine psb_smamaxs(res,x,desc_a, info,jx) +subroutine psb_smamaxs(res,x,desc_a, info,jx,global) use psb_base_mod, psb_protect_name => psb_smamaxs implicit none @@ -476,10 +507,12 @@ subroutine psb_smamaxs(res,x,desc_a, info,jx) integer(psb_ipk_), intent(out) :: info integer(psb_ipk_), optional, intent(in) :: jx real(psb_spk_), intent(out) :: res(:) + logical, intent(in), optional :: global ! locals integer(psb_ipk_) :: ictxt, np, me,& & err_act, iix, jjx, ix, ijx, m, ldx, i, k + logical :: global_ character(len=20) :: name, ch_err name='psb_smamaxs' @@ -503,6 +536,12 @@ subroutine psb_smamaxs(res,x,desc_a, info,jx) ijx = 1 endif + if (present(global)) then + global_ = global + else + global_ = .true. + end if + m = desc_a%get_global_rows() k = min(size(x,2),size(res,1)) ldx = size(x,1) @@ -529,7 +568,7 @@ subroutine psb_smamaxs(res,x,desc_a, info,jx) end if ! compute global max - call psb_amx(ictxt, res(1:k)) + if (global_) call psb_amx(ictxt, res(1:k)) call psb_erractionrestore(err_act) return diff --git a/base/psblas/psb_sasum.f90 b/base/psblas/psb_sasum.f90 index 10a1b987..e4fe548e 100644 --- a/base/psblas/psb_sasum.f90 +++ b/base/psblas/psb_sasum.f90 @@ -44,7 +44,7 @@ ! info - integer. Return code ! jx - integer(optional). The column offset. ! -function psb_sasum (x,desc_a, info, jx) result(res) +function psb_sasum (x,desc_a, info, jx,global) result(res) use psb_base_mod, psb_protect_name => psb_sasum implicit none @@ -54,10 +54,12 @@ function psb_sasum (x,desc_a, info, jx) result(res) integer(psb_ipk_), intent(out) :: info integer(psb_ipk_), optional, intent(in) :: jx real(psb_spk_) :: res + logical, intent(in), optional :: global ! locals integer(psb_ipk_) :: ictxt, np, me, & & err_act, iix, jjx, ix, ijx, m, i, idx, ndm, ldx + logical :: global_ character(len=20) :: name, ch_err name='psb_sasum' @@ -82,6 +84,12 @@ function psb_sasum (x,desc_a, info, jx) result(res) ijx = 1 endif + if (present(global)) then + global_ = global + else + global_ = .true. + end if + m = desc_a%get_global_rows() ldx = size(x,1) ! check vector correctness @@ -114,7 +122,7 @@ function psb_sasum (x,desc_a, info, jx) result(res) res = szero end if ! compute global sum - call psb_sum(ictxt, res) + if (global_) call psb_sum(ictxt, res) call psb_erractionrestore(err_act) return @@ -125,7 +133,7 @@ function psb_sasum (x,desc_a, info, jx) result(res) end function psb_sasum -function psb_sasum_vect(x, desc_a, info) result(res) +function psb_sasum_vect(x, desc_a, info,global) result(res) use psb_base_mod, psb_protect_name => psb_sasum_vect implicit none @@ -133,10 +141,12 @@ function psb_sasum_vect(x, desc_a, info) result(res) type(psb_s_vect_type), intent (inout) :: x type(psb_desc_type), intent (in) :: desc_a integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global ! locals integer(psb_ipk_) :: ictxt, np, me,& - & err_act, iix, jjx, jx, ix, m, imax + & err_act, iix, jjx, jx, ix, m, imax, i, idx, ndm + logical :: global_ character(len=20) :: name, ch_err name='psb_sasumv' @@ -160,6 +170,11 @@ function psb_sasum_vect(x, desc_a, info) result(res) goto 9999 endif + if (present(global)) then + global_ = global + else + global_ = .true. + end if ix = 1 jx = 1 @@ -182,12 +197,21 @@ function psb_sasum_vect(x, desc_a, info) result(res) ! compute local max if ((desc_a%get_local_rows() > 0).and.(m /= 0)) then res = x%asum(desc_a%get_local_rows()) + if (size(desc_a%ovrlap_elem,1)>0) then + if (x%is_dev()) call x%sync() + ! adjust res because overlapped elements are computed more than once + do i=1,size(desc_a%ovrlap_elem,1) + idx = desc_a%ovrlap_elem(i,1) + ndm = desc_a%ovrlap_elem(i,2) + res = res - (real(ndm-1)/real(ndm))*abs(x%v%v(idx)) + end do + end if else res = szero end if ! compute global sum - call psb_sum(ictxt, res) + if (global_) call psb_sum(ictxt, res) call psb_erractionrestore(err_act) return @@ -242,7 +266,7 @@ end function psb_sasum_vect ! desc_a - type(psb_desc_type). The communication descriptor. ! info - integer. Return code ! -function psb_sasumv(x,desc_a, info) result(res) +function psb_sasumv(x,desc_a, info,global) result(res) use psb_base_mod, psb_protect_name => psb_sasumv implicit none @@ -251,10 +275,12 @@ function psb_sasumv(x,desc_a, info) result(res) type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info real(psb_spk_) :: res + logical, intent(in), optional :: global ! locals integer(psb_ipk_) :: ictxt, np, me,& & err_act, iix, jjx, jx, ix, m, i, idx, ndm, ldx + logical :: global_ character(len=20) :: name, ch_err name='psb_sasumv' @@ -271,6 +297,12 @@ function psb_sasumv(x,desc_a, info) result(res) goto 9999 endif + if (present(global)) then + global_ = global + else + global_ = .true. + end if + ix = 1 jx=1 @@ -307,7 +339,7 @@ function psb_sasumv(x,desc_a, info) result(res) end if ! compute global sum - call psb_sum(ictxt, res) + if (global_) call psb_sum(ictxt, res) call psb_erractionrestore(err_act) return @@ -362,7 +394,7 @@ end function psb_sasumv ! info - integer. Return code ! jx - integer(optional). The column offset. ! -subroutine psb_sasumvs(res,x,desc_a, info) +subroutine psb_sasumvs(res,x,desc_a, info,global) use psb_base_mod, psb_protect_name => psb_sasumvs implicit none @@ -371,10 +403,12 @@ subroutine psb_sasumvs(res,x,desc_a, info) real(psb_spk_), intent(out) :: res type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global ! locals integer(psb_ipk_) :: ictxt, np, me,& & err_act, iix, jjx, ix, jx, m, i, idx, ndm, ldx + logical :: global_ character(len=20) :: name, ch_err name='psb_sasumvs' @@ -391,6 +425,12 @@ subroutine psb_sasumvs(res,x,desc_a, info) goto 9999 endif + if (present(global)) then + global_ = global + else + global_ = .true. + end if + ix = 1 jx = 1 @@ -427,7 +467,7 @@ subroutine psb_sasumvs(res,x,desc_a, info) end if ! compute global sum - call psb_sum(ictxt,res) + if (global_) call psb_sum(ictxt,res) call psb_erractionrestore(err_act) return diff --git a/base/psblas/psb_sdot.f90 b/base/psblas/psb_sdot.f90 index 86627f07..5afb520d 100644 --- a/base/psblas/psb_sdot.f90 +++ b/base/psblas/psb_sdot.f90 @@ -48,7 +48,7 @@ ! jx - integer(optional). The column offset for sub( X ). ! jy - integer(optional). The column offset for sub( Y ). ! -function psb_sdot_vect(x, y, desc_a,info) result(res) +function psb_sdot_vect(x, y, desc_a,info,global) result(res) use psb_desc_mod use psb_s_base_mat_mod use psb_check_mod @@ -61,10 +61,12 @@ function psb_sdot_vect(x, y, desc_a,info) result(res) type(psb_s_vect_type), intent(inout) :: x, y type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global ! locals integer(psb_ipk_) :: ictxt, np, me, idx, ndm,& & err_act, iix, jjx, ix, ijx, iy, ijy, iiy, jjy, i, m, nr + logical :: global_ character(len=20) :: name, ch_err name='psb_sdot_vect' @@ -91,6 +93,11 @@ function psb_sdot_vect(x, y, desc_a,info) result(res) goto 9999 endif + if (present(global)) then + global_ = global + else + global_ = .true. + end if ix = ione ijx = ione @@ -122,17 +129,21 @@ function psb_sdot_vect(x, y, desc_a,info) result(res) res = x%dot(nr,y) ! FIXME ! adjust dot_local because overlapped elements are computed more than once -!!$ do i=1,size(desc_a%ovrlap_elem,1) -!!$ idx = desc_a%ovrlap_elem(i,1) -!!$ ndm = desc_a%ovrlap_elem(i,2) -!!$ dot_local = dot_local - (real(ndm-1)/real(ndm))*(x(idx)*y(idx)) -!!$ end do + if (size(desc_a%ovrlap_elem,1)>0) then + if (x%is_dev()) call x%sync() + if (y%is_dev()) call y%sync() + do i=1,size(desc_a%ovrlap_elem,1) + idx = desc_a%ovrlap_elem(i,1) + ndm = desc_a%ovrlap_elem(i,2) + res = res - (real(ndm-1)/real(ndm))*(x%v%v(idx)*y%v%v(idx)) + end do + end if else res = szero end if ! compute global sum - call psb_sum(ictxt, res) + if (global_) call psb_sum(ictxt, res) call psb_erractionrestore(err_act) return @@ -143,7 +154,7 @@ function psb_sdot_vect(x, y, desc_a,info) result(res) end function psb_sdot_vect -function psb_sdot(x, y,desc_a, info, jx, jy) result(res) +function psb_sdot(x, y,desc_a, info, jx, jy,global) result(res) use psb_base_mod, psb_protect_name => psb_sdot implicit none @@ -152,12 +163,14 @@ function psb_sdot(x, y,desc_a, info, jx, jy) result(res) integer(psb_ipk_), intent(in), optional :: jx, jy integer(psb_ipk_), intent(out) :: info real(psb_spk_) :: res + logical, intent(in), optional :: global ! locals integer(psb_ipk_) :: ictxt, np, me, idx, ndm,& & err_act, iix, jjx, ix, ijx, iy, ijy, iiy, jjy, i, m, nr, & & lldx, lldy real(psb_spk_) :: sdot + logical :: global_ character(len=20) :: name, ch_err name='psb_sdot' @@ -193,6 +206,12 @@ function psb_sdot(x, y,desc_a, info, jx, jy) result(res) goto 9999 end if + if (present(global)) then + global_ = global + else + global_ = .true. + end if + m = desc_a%get_global_rows() lldx = size(x,1) lldy = size(y,1) @@ -228,7 +247,7 @@ function psb_sdot(x, y,desc_a, info, jx, jy) result(res) end if ! compute global sum - call psb_sum(ictxt, res) + if (global_) call psb_sum(ictxt, res) call psb_erractionrestore(err_act) return @@ -284,7 +303,7 @@ end function psb_sdot ! desc_a - type(psb_desc_type). The communication descriptor. ! info - integer. Return code ! -function psb_sdotv(x, y,desc_a, info) result(res) +function psb_sdotv(x, y,desc_a, info,global) result(res) use psb_base_mod, psb_protect_name => psb_sdotv implicit none @@ -292,11 +311,13 @@ function psb_sdotv(x, y,desc_a, info) result(res) type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info real(psb_spk_) :: res + logical, intent(in), optional :: global ! locals integer(psb_ipk_) :: ictxt, np, me, idx, ndm,& & err_act, iix, jjx, ix, jx, iy, jy, iiy, jjy, i, m, nr, & & lldx, lldy + logical :: global_ real(psb_spk_) :: sdot character(len=20) :: name, ch_err @@ -314,6 +335,12 @@ function psb_sdotv(x, y,desc_a, info) result(res) goto 9999 endif + if (present(global)) then + global_ = global + else + global_ = .true. + end if + ix = ione iy = ione jx = ione @@ -352,7 +379,7 @@ function psb_sdotv(x, y,desc_a, info) result(res) end if ! compute global sum - call psb_sum(ictxt, res) + if (global_) call psb_sum(ictxt, res) call psb_erractionrestore(err_act) @@ -409,7 +436,7 @@ end function psb_sdotv ! desc_a - type(psb_desc_type). The communication descriptor. ! info - integer. Return code ! -subroutine psb_sdotvs(res, x, y,desc_a, info) +subroutine psb_sdotvs(res, x, y,desc_a, info,global) use psb_base_mod, psb_protect_name => psb_sdotvs implicit none @@ -417,11 +444,13 @@ subroutine psb_sdotvs(res, x, y,desc_a, info) real(psb_spk_), intent(out) :: res type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global ! locals integer(psb_ipk_) :: ictxt, np, me, idx, ndm,& & err_act, iix, jjx, ix, iy, iiy, jjy, i, m,nr, & & lldx, lldy + logical :: global_ real(psb_spk_) :: sdot character(len=20) :: name, ch_err @@ -439,6 +468,12 @@ subroutine psb_sdotvs(res, x, y,desc_a, info) goto 9999 endif + if (present(global)) then + global_ = global + else + global_ = .true. + end if + ix = ione iy = ione m = desc_a%get_global_rows() @@ -475,7 +510,7 @@ subroutine psb_sdotvs(res, x, y,desc_a, info) end if ! compute global sum - call psb_sum(ictxt, res) + if (global_) call psb_sum(ictxt, res) call psb_erractionrestore(err_act) return @@ -532,7 +567,7 @@ end subroutine psb_sdotvs ! desc_a - type(psb_desc_type). The communication descriptor. ! info - integer. Return code ! -subroutine psb_smdots(res, x, y, desc_a, info) +subroutine psb_smdots(res, x, y, desc_a, info,global) use psb_base_mod, psb_protect_name => psb_smdots implicit none @@ -540,11 +575,13 @@ subroutine psb_smdots(res, x, y, desc_a, info) real(psb_spk_), intent(out) :: res(:) type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global ! locals integer(psb_ipk_) :: ictxt, np, me, idx, ndm,& & err_act, iix, jjx, ix, iy, iiy, jjy, i, m, j, k, nr, & & lldx, lldy + logical :: global_ real(psb_spk_) :: sdot character(len=20) :: name, ch_err @@ -562,6 +599,11 @@ subroutine psb_smdots(res, x, y, desc_a, info) goto 9999 endif + if (present(global)) then + global_ = global + else + global_ = .true. + end if ix = ione iy = ione @@ -611,7 +653,7 @@ subroutine psb_smdots(res, x, y, desc_a, info) ! compute global sum - call psb_sum(ictxt, res(1:k)) + if (global_) call psb_sum(ictxt, res(1:k)) call psb_erractionrestore(err_act) return diff --git a/base/psblas/psb_snrm2.f90 b/base/psblas/psb_snrm2.f90 index f9a35313..f5ef9cb2 100644 --- a/base/psblas/psb_snrm2.f90 +++ b/base/psblas/psb_snrm2.f90 @@ -44,7 +44,7 @@ ! info - integer. Return code ! jx - integer(optional). The column offset for sub( X ). ! -function psb_snrm2(x, desc_a, info, jx) result(res) +function psb_snrm2(x, desc_a, info, jx,global) result(res) use psb_desc_mod use psb_check_mod use psb_error_mod @@ -56,10 +56,12 @@ function psb_snrm2(x, desc_a, info, jx) result(res) integer(psb_ipk_), intent(in), optional :: jx integer(psb_ipk_), intent(out) :: info real(psb_spk_) :: res + logical, intent(in), optional :: global ! locals integer(psb_ipk_) :: ictxt, np, me,& & err_act, iix, jjx, ndim, ix, ijx, i, m, id, idx, ndm, ldx + logical :: global_ real(psb_spk_) :: snrm2, dd character(len=20) :: name, ch_err @@ -84,6 +86,12 @@ function psb_snrm2(x, desc_a, info, jx) result(res) ijx = 1 endif + if (present(global)) then + global_ = global + else + global_ = .true. + end if + m = desc_a%get_global_rows() ldx = size(x,1) call psb_chkvect(m,ione,ldx,ix,ijx,desc_a,info,iix,jjx) @@ -114,7 +122,7 @@ function psb_snrm2(x, desc_a, info, jx) result(res) res = szero end if - call psb_nrm2(ictxt,res) + if (global_) call psb_nrm2(ictxt,res) call psb_erractionrestore(err_act) return @@ -168,7 +176,7 @@ end function psb_snrm2 ! desc_a - type(psb_desc_type). The communication descriptor. ! info - integer. Return code ! -function psb_snrm2v(x, desc_a, info) result(res) +function psb_snrm2v(x, desc_a, info,global) result(res) use psb_desc_mod use psb_check_mod use psb_error_mod @@ -179,13 +187,13 @@ function psb_snrm2v(x, desc_a, info) result(res) type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info real(psb_spk_) :: res + logical, intent(in), optional :: global ! locals integer(psb_ipk_) :: ictxt, np, me,& & err_act, iix, jjx, ndim, ix, jx, i, m, id, idx, ndm, ldx + logical :: global_ real(psb_spk_) :: snrm2, dd - -!!$ external scombnrm2 character(len=20) :: name, ch_err name='psb_snrm2v' @@ -202,6 +210,11 @@ function psb_snrm2v(x, desc_a, info) result(res) goto 9999 endif + if (present(global)) then + global_ = global + else + global_ = .true. + end if ix = 1 jx=1 m = desc_a%get_global_rows() @@ -233,8 +246,7 @@ function psb_snrm2v(x, desc_a, info) result(res) res = szero end if - call psb_nrm2(ictxt,res) - + if (global_) call psb_nrm2(ictxt,res) call psb_erractionrestore(err_act) return @@ -246,7 +258,7 @@ end function psb_snrm2v -function psb_snrm2_vect(x, desc_a, info) result(res) +function psb_snrm2_vect(x, desc_a, info,global) result(res) use psb_desc_mod use psb_check_mod use psb_error_mod @@ -258,12 +270,13 @@ function psb_snrm2_vect(x, desc_a, info) result(res) type(psb_s_vect_type), intent (inout) :: x type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global ! locals integer(psb_ipk_) :: ictxt, np, me,& & err_act, iix, jjx, ndim, ix, jx, i, m, id, idx, ndm, ldx + logical :: global_ real(psb_spk_) :: snrm2, dd -!!$ external dcombnrm2 character(len=20) :: name, ch_err name='psb_snrm2v' @@ -286,6 +299,11 @@ function psb_snrm2_vect(x, desc_a, info) result(res) goto 9999 endif + if (present(global)) then + global_ = global + else + global_ = .true. + end if ix = 1 jx=1 @@ -307,18 +325,21 @@ function psb_snrm2_vect(x, desc_a, info) result(res) if (desc_a%get_local_rows() > 0) then ndim = desc_a%get_local_rows() res = x%nrm2(ndim) -!!$ ! adjust because overlapped elements are computed more than once -!!$ do i=1,size(desc_a%ovrlap_elem,1) -!!$ idx = desc_a%ovrlap_elem(i,1) -!!$ ndm = desc_a%ovrlap_elem(i,2) -!!$ dd = dble(ndm-1)/dble(ndm) -!!$ nrm2 = nrm2 * sqrt(done - dd*(abs(x(idx))/nrm2)**2) -!!$ end do - else + ! adjust because overlapped elements are computed more than once + if (size(desc_a%ovrlap_elem,1)>0) then + if (x%is_dev()) call x%sync() + do i=1,size(desc_a%ovrlap_elem,1) + idx = desc_a%ovrlap_elem(i,1) + ndm = desc_a%ovrlap_elem(i,2) + dd = dble(ndm-1)/dble(ndm) + res = res - sqrt(sone - dd*(abs(x%v%v(idx))/res)**2) + end do + end if + else res = szero end if - call psb_nrm2(ictxt,res) + if (global_) call psb_nrm2(ictxt,res) call psb_erractionrestore(err_act) return @@ -329,7 +350,6 @@ function psb_snrm2_vect(x, desc_a, info) result(res) end function psb_snrm2_vect - !!$ !!$ Parallel Sparse BLAS version 3.5 !!$ (C) Copyright 2006-2018 @@ -373,7 +393,7 @@ end function psb_snrm2_vect ! desc_a - type(psb_desc_type). The communication descriptor. ! info - integer. Return code ! -subroutine psb_snrm2vs(res, x, desc_a, info) +subroutine psb_snrm2vs(res, x, desc_a, info,global) use psb_desc_mod use psb_check_mod use psb_error_mod @@ -384,13 +404,13 @@ subroutine psb_snrm2vs(res, x, desc_a, info) real(psb_spk_), intent(out) :: res type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global ! locals integer(psb_ipk_) :: ictxt, np, me,& & err_act, iix, jjx, ndim, ix, jx, i, m, id, idx, ndm, ldx + logical :: global_ real(psb_spk_) :: nrm2, snrm2, dd - -!!$ external scombnrm2 character(len=20) :: name, ch_err name='psb_snrm2' @@ -407,6 +427,12 @@ subroutine psb_snrm2vs(res, x, desc_a, info) goto 9999 endif + if (present(global)) then + global_ = global + else + global_ = .true. + end if + ix = 1 jx = 1 m = desc_a%get_global_rows() @@ -439,7 +465,7 @@ subroutine psb_snrm2vs(res, x, desc_a, info) res = szero end if - call psb_nrm2(ictxt,res) + if (global_) call psb_nrm2(ictxt,res) call psb_erractionrestore(err_act) diff --git a/base/psblas/psb_snrmi.f90 b/base/psblas/psb_snrmi.f90 index eaeaf127..ecabd400 100644 --- a/base/psblas/psb_snrmi.f90 +++ b/base/psblas/psb_snrmi.f90 @@ -41,7 +41,7 @@ ! desc_a - type(psb_desc_type). The communication descriptor. ! info - integer. Return code ! -function psb_snrmi(a,desc_a,info) result(res) +function psb_snrmi(a,desc_a,info,global) result(res) use psb_base_mod, psb_protect_name => psb_snrmi implicit none @@ -49,10 +49,12 @@ function psb_snrmi(a,desc_a,info) result(res) integer(psb_ipk_), intent(out) :: info type(psb_desc_type), intent(in) :: desc_a real(psb_spk_) :: res + logical, intent(in), optional :: global ! locals integer(psb_ipk_) :: ictxt, np, me,& & err_act, n, iia, jja, ia, ja, mdim, ndim, m + logical :: global_ character(len=20) :: name, ch_err name='psb_snrmi' @@ -69,6 +71,12 @@ function psb_snrmi(a,desc_a,info) result(res) goto 9999 endif + if (present(global)) then + global_ = global + else + global_ = .true. + end if + ia = 1 ja = 1 m = desc_a%get_global_rows() @@ -101,7 +109,7 @@ function psb_snrmi(a,desc_a,info) result(res) end if ! compute global max - call psb_amx(ictxt, res) + if (global_) call psb_amx(ictxt, res) call psb_erractionrestore(err_act) return diff --git a/base/psblas/psb_sspnrm1.f90 b/base/psblas/psb_sspnrm1.f90 index ea7cd618..b8f2a4b7 100644 --- a/base/psblas/psb_sspnrm1.f90 +++ b/base/psblas/psb_sspnrm1.f90 @@ -41,7 +41,7 @@ ! desc_a - type(psb_desc_type). The communication descriptor. ! info - integer. Return code ! -function psb_sspnrm1(a,desc_a,info) result(res) +function psb_sspnrm1(a,desc_a,info,global) result(res) use psb_base_mod, psb_protect_name => psb_sspnrm1 implicit none @@ -49,10 +49,12 @@ function psb_sspnrm1(a,desc_a,info) result(res) integer(psb_ipk_), intent(out) :: info type(psb_desc_type), intent(in) :: desc_a real(psb_spk_) :: res + logical, intent(in), optional :: global ! locals integer(psb_ipk_) :: ictxt, np, me, nr,nc,& & err_act, n, iia, jja, ia, ja, mdim, ndim, m + logical :: global_ character(len=20) :: name, ch_err real(psb_spk_), allocatable :: v(:) @@ -70,6 +72,12 @@ function psb_sspnrm1(a,desc_a,info) result(res) goto 9999 endif + if (present(global)) then + global_ = global + else + global_ = .true. + end if + ia = 1 ja = 1 m = desc_a%get_global_rows() @@ -119,7 +127,7 @@ function psb_sspnrm1(a,desc_a,info) result(res) res = szero end if ! compute global max - call psb_amx(ictxt, res) + if (global_) call psb_amx(ictxt, res) call psb_erractionrestore(err_act) return diff --git a/base/psblas/psb_zamax.f90 b/base/psblas/psb_zamax.f90 index b2032264..e601725e 100644 --- a/base/psblas/psb_zamax.f90 +++ b/base/psblas/psb_zamax.f90 @@ -44,7 +44,7 @@ ! info - integer. Return code ! jx - integer(optional). The column offset. ! -function psb_zamax(x,desc_a, info, jx) result(res) +function psb_zamax(x,desc_a, info, jx,global) result(res) use psb_base_mod, psb_protect_name => psb_zamax implicit none @@ -54,10 +54,12 @@ function psb_zamax(x,desc_a, info, jx) result(res) integer(psb_ipk_), intent(out) :: info integer(psb_ipk_), optional, intent(in) :: jx real(psb_dpk_) :: res + logical, intent(in), optional :: global ! locals integer(psb_ipk_) :: ictxt, np, me,& & err_act, iix, jjx, ix, ijx, m, ldx + logical :: global_ character(len=20) :: name, ch_err name='psb_zamax' @@ -82,6 +84,12 @@ function psb_zamax(x,desc_a, info, jx) result(res) ijx = 1 endif + if (present(global)) then + global_ = global + else + global_ = .true. + end if + m = desc_a%get_global_rows() ldx = size(x,1) @@ -107,7 +115,7 @@ function psb_zamax(x,desc_a, info, jx) result(res) end if ! compute global max - call psb_amx(ictxt, res) + if (global_) call psb_amx(ictxt, res) call psb_erractionrestore(err_act) return @@ -162,7 +170,7 @@ end function psb_zamax ! desc_a - type(psb_desc_type). The communication descriptor. ! info - integer. Return code ! -function psb_zamaxv (x,desc_a, info) result(res) +function psb_zamaxv (x,desc_a, info,global) result(res) use psb_base_mod, psb_protect_name => psb_zamaxv implicit none @@ -171,11 +179,12 @@ function psb_zamaxv (x,desc_a, info) result(res) type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info real(psb_dpk_) :: res + logical, intent(in), optional :: global ! locals integer(psb_ipk_) :: ictxt, np, me,& & err_act, iix, jjx, jx, ix, m, ldx - + logical :: global_ character(len=20) :: name, ch_err name='psb_zamaxv' @@ -193,6 +202,12 @@ function psb_zamaxv (x,desc_a, info) result(res) goto 9999 endif + if (present(global)) then + global_ = global + else + global_ = .true. + end if + ix = 1 jx = 1 @@ -221,7 +236,7 @@ function psb_zamaxv (x,desc_a, info) result(res) end if ! compute global max - call psb_amx(ictxt, res) + if (global_) call psb_amx(ictxt, res) call psb_erractionrestore(err_act) return @@ -232,7 +247,7 @@ function psb_zamaxv (x,desc_a, info) result(res) end function psb_zamaxv -function psb_zamax_vect(x, desc_a, info) result(res) +function psb_zamax_vect(x, desc_a, info,global) result(res) use psb_penv_mod use psb_serial_mod use psb_desc_mod @@ -245,10 +260,12 @@ function psb_zamax_vect(x, desc_a, info) result(res) type(psb_z_vect_type), intent (inout) :: x type(psb_desc_type), intent (in) :: desc_a integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global ! locals integer(psb_ipk_) :: ictxt, np, me,& & err_act, iix, jjx, jx, ix, m + logical :: global_ character(len=20) :: name, ch_err name='psb_zamaxv' @@ -271,6 +288,12 @@ function psb_zamax_vect(x, desc_a, info) result(res) goto 9999 endif + if (present(global)) then + global_ = global + else + global_ = .true. + end if + ix = 1 jx = 1 @@ -297,7 +320,7 @@ function psb_zamax_vect(x, desc_a, info) result(res) end if ! compute global max - call psb_amx(ictxt, res) + if (global_) call psb_amx(ictxt, res) call psb_erractionrestore(err_act) return @@ -355,7 +378,7 @@ end function psb_zamax_vect ! info - integer. Return code ! jx - integer(optional). The column offset. ! -subroutine psb_zamaxvs(res,x,desc_a, info) +subroutine psb_zamaxvs(res,x,desc_a, info,global) use psb_base_mod, psb_protect_name => psb_zamaxvs implicit none @@ -364,10 +387,12 @@ subroutine psb_zamaxvs(res,x,desc_a, info) type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info real(psb_dpk_), intent(out) :: res + logical, intent(in), optional :: global ! locals integer(psb_ipk_) :: ictxt, np, me,& & err_act, iix, jjx, ix, ijx, m, ldx + logical :: global_ character(len=20) :: name, ch_err name='psb_zamaxvs' @@ -385,6 +410,12 @@ subroutine psb_zamaxvs(res,x,desc_a, info) goto 9999 endif + if (present(global)) then + global_ = global + else + global_ = .true. + end if + ix = 1 ijx=1 @@ -412,7 +443,7 @@ subroutine psb_zamaxvs(res,x,desc_a, info) end if ! compute global max - call psb_amx(ictxt, res) + if (global_) call psb_amx(ictxt, res) call psb_erractionrestore(err_act) return @@ -466,7 +497,7 @@ end subroutine psb_zamaxvs ! desc_a - type(psb_desc_type). The communication descriptor. ! info - integer. Return code ! -subroutine psb_zmamaxs(res,x,desc_a, info,jx) +subroutine psb_zmamaxs(res,x,desc_a, info,jx,global) use psb_base_mod, psb_protect_name => psb_zmamaxs implicit none @@ -476,10 +507,12 @@ subroutine psb_zmamaxs(res,x,desc_a, info,jx) integer(psb_ipk_), intent(out) :: info integer(psb_ipk_), optional, intent(in) :: jx real(psb_dpk_), intent(out) :: res(:) + logical, intent(in), optional :: global ! locals integer(psb_ipk_) :: ictxt, np, me,& & err_act, iix, jjx, ix, ijx, m, ldx, i, k + logical :: global_ character(len=20) :: name, ch_err name='psb_zmamaxs' @@ -503,6 +536,12 @@ subroutine psb_zmamaxs(res,x,desc_a, info,jx) ijx = 1 endif + if (present(global)) then + global_ = global + else + global_ = .true. + end if + m = desc_a%get_global_rows() k = min(size(x,2),size(res,1)) ldx = size(x,1) @@ -529,7 +568,7 @@ subroutine psb_zmamaxs(res,x,desc_a, info,jx) end if ! compute global max - call psb_amx(ictxt, res(1:k)) + if (global_) call psb_amx(ictxt, res(1:k)) call psb_erractionrestore(err_act) return diff --git a/base/psblas/psb_zasum.f90 b/base/psblas/psb_zasum.f90 index 3b4fadee..9d49881b 100644 --- a/base/psblas/psb_zasum.f90 +++ b/base/psblas/psb_zasum.f90 @@ -44,7 +44,7 @@ ! info - integer. Return code ! jx - integer(optional). The column offset. ! -function psb_zasum (x,desc_a, info, jx) result(res) +function psb_zasum (x,desc_a, info, jx,global) result(res) use psb_base_mod, psb_protect_name => psb_zasum implicit none @@ -54,10 +54,12 @@ function psb_zasum (x,desc_a, info, jx) result(res) integer(psb_ipk_), intent(out) :: info integer(psb_ipk_), optional, intent(in) :: jx real(psb_dpk_) :: res + logical, intent(in), optional :: global ! locals integer(psb_ipk_) :: ictxt, np, me, & & err_act, iix, jjx, ix, ijx, m, i, idx, ndm, ldx + logical :: global_ character(len=20) :: name, ch_err name='psb_zasum' @@ -82,6 +84,12 @@ function psb_zasum (x,desc_a, info, jx) result(res) ijx = 1 endif + if (present(global)) then + global_ = global + else + global_ = .true. + end if + m = desc_a%get_global_rows() ldx = size(x,1) ! check vector correctness @@ -114,7 +122,7 @@ function psb_zasum (x,desc_a, info, jx) result(res) res = dzero end if ! compute global sum - call psb_sum(ictxt, res) + if (global_) call psb_sum(ictxt, res) call psb_erractionrestore(err_act) return @@ -125,7 +133,7 @@ function psb_zasum (x,desc_a, info, jx) result(res) end function psb_zasum -function psb_zasum_vect(x, desc_a, info) result(res) +function psb_zasum_vect(x, desc_a, info,global) result(res) use psb_base_mod, psb_protect_name => psb_zasum_vect implicit none @@ -133,10 +141,12 @@ function psb_zasum_vect(x, desc_a, info) result(res) type(psb_z_vect_type), intent (inout) :: x type(psb_desc_type), intent (in) :: desc_a integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global ! locals integer(psb_ipk_) :: ictxt, np, me,& - & err_act, iix, jjx, jx, ix, m, imax + & err_act, iix, jjx, jx, ix, m, imax, i, idx, ndm + logical :: global_ character(len=20) :: name, ch_err name='psb_zasumv' @@ -160,6 +170,11 @@ function psb_zasum_vect(x, desc_a, info) result(res) goto 9999 endif + if (present(global)) then + global_ = global + else + global_ = .true. + end if ix = 1 jx = 1 @@ -182,12 +197,21 @@ function psb_zasum_vect(x, desc_a, info) result(res) ! compute local max if ((desc_a%get_local_rows() > 0).and.(m /= 0)) then res = x%asum(desc_a%get_local_rows()) + if (size(desc_a%ovrlap_elem,1)>0) then + if (x%is_dev()) call x%sync() + ! adjust res because overlapped elements are computed more than once + do i=1,size(desc_a%ovrlap_elem,1) + idx = desc_a%ovrlap_elem(i,1) + ndm = desc_a%ovrlap_elem(i,2) + res = res - (real(ndm-1)/real(ndm))*abs(x%v%v(idx)) + end do + end if else res = dzero end if ! compute global sum - call psb_sum(ictxt, res) + if (global_) call psb_sum(ictxt, res) call psb_erractionrestore(err_act) return @@ -242,7 +266,7 @@ end function psb_zasum_vect ! desc_a - type(psb_desc_type). The communication descriptor. ! info - integer. Return code ! -function psb_zasumv(x,desc_a, info) result(res) +function psb_zasumv(x,desc_a, info,global) result(res) use psb_base_mod, psb_protect_name => psb_zasumv implicit none @@ -251,10 +275,12 @@ function psb_zasumv(x,desc_a, info) result(res) type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info real(psb_dpk_) :: res + logical, intent(in), optional :: global ! locals integer(psb_ipk_) :: ictxt, np, me,& & err_act, iix, jjx, jx, ix, m, i, idx, ndm, ldx + logical :: global_ character(len=20) :: name, ch_err name='psb_zasumv' @@ -271,6 +297,12 @@ function psb_zasumv(x,desc_a, info) result(res) goto 9999 endif + if (present(global)) then + global_ = global + else + global_ = .true. + end if + ix = 1 jx=1 @@ -307,7 +339,7 @@ function psb_zasumv(x,desc_a, info) result(res) end if ! compute global sum - call psb_sum(ictxt, res) + if (global_) call psb_sum(ictxt, res) call psb_erractionrestore(err_act) return @@ -362,7 +394,7 @@ end function psb_zasumv ! info - integer. Return code ! jx - integer(optional). The column offset. ! -subroutine psb_zasumvs(res,x,desc_a, info) +subroutine psb_zasumvs(res,x,desc_a, info,global) use psb_base_mod, psb_protect_name => psb_zasumvs implicit none @@ -371,10 +403,12 @@ subroutine psb_zasumvs(res,x,desc_a, info) real(psb_dpk_), intent(out) :: res type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global ! locals integer(psb_ipk_) :: ictxt, np, me,& & err_act, iix, jjx, ix, jx, m, i, idx, ndm, ldx + logical :: global_ character(len=20) :: name, ch_err name='psb_zasumvs' @@ -391,6 +425,12 @@ subroutine psb_zasumvs(res,x,desc_a, info) goto 9999 endif + if (present(global)) then + global_ = global + else + global_ = .true. + end if + ix = 1 jx = 1 @@ -427,7 +467,7 @@ subroutine psb_zasumvs(res,x,desc_a, info) end if ! compute global sum - call psb_sum(ictxt,res) + if (global_) call psb_sum(ictxt,res) call psb_erractionrestore(err_act) return diff --git a/base/psblas/psb_zdot.f90 b/base/psblas/psb_zdot.f90 index a9cd1d98..9006a08b 100644 --- a/base/psblas/psb_zdot.f90 +++ b/base/psblas/psb_zdot.f90 @@ -48,7 +48,7 @@ ! jx - integer(optional). The column offset for sub( X ). ! jy - integer(optional). The column offset for sub( Y ). ! -function psb_zdot_vect(x, y, desc_a,info) result(res) +function psb_zdot_vect(x, y, desc_a,info,global) result(res) use psb_desc_mod use psb_z_base_mat_mod use psb_check_mod @@ -61,10 +61,12 @@ function psb_zdot_vect(x, y, desc_a,info) result(res) type(psb_z_vect_type), intent(inout) :: x, y type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global ! locals integer(psb_ipk_) :: ictxt, np, me, idx, ndm,& & err_act, iix, jjx, ix, ijx, iy, ijy, iiy, jjy, i, m, nr + logical :: global_ character(len=20) :: name, ch_err name='psb_zdot_vect' @@ -91,6 +93,11 @@ function psb_zdot_vect(x, y, desc_a,info) result(res) goto 9999 endif + if (present(global)) then + global_ = global + else + global_ = .true. + end if ix = ione ijx = ione @@ -122,17 +129,21 @@ function psb_zdot_vect(x, y, desc_a,info) result(res) res = x%dot(nr,y) ! FIXME ! adjust dot_local because overlapped elements are computed more than once -!!$ do i=1,size(desc_a%ovrlap_elem,1) -!!$ idx = desc_a%ovrlap_elem(i,1) -!!$ ndm = desc_a%ovrlap_elem(i,2) -!!$ dot_local = dot_local - (real(ndm-1)/real(ndm))*(x(idx)*y(idx)) -!!$ end do + if (size(desc_a%ovrlap_elem,1)>0) then + if (x%is_dev()) call x%sync() + if (y%is_dev()) call y%sync() + do i=1,size(desc_a%ovrlap_elem,1) + idx = desc_a%ovrlap_elem(i,1) + ndm = desc_a%ovrlap_elem(i,2) + res = res - (real(ndm-1)/real(ndm))*(x%v%v(idx)*y%v%v(idx)) + end do + end if else res = zzero end if ! compute global sum - call psb_sum(ictxt, res) + if (global_) call psb_sum(ictxt, res) call psb_erractionrestore(err_act) return @@ -143,7 +154,7 @@ function psb_zdot_vect(x, y, desc_a,info) result(res) end function psb_zdot_vect -function psb_zdot(x, y,desc_a, info, jx, jy) result(res) +function psb_zdot(x, y,desc_a, info, jx, jy,global) result(res) use psb_base_mod, psb_protect_name => psb_zdot implicit none @@ -152,12 +163,14 @@ function psb_zdot(x, y,desc_a, info, jx, jy) result(res) integer(psb_ipk_), intent(in), optional :: jx, jy integer(psb_ipk_), intent(out) :: info complex(psb_dpk_) :: res + logical, intent(in), optional :: global ! locals integer(psb_ipk_) :: ictxt, np, me, idx, ndm,& & err_act, iix, jjx, ix, ijx, iy, ijy, iiy, jjy, i, m, nr, & & lldx, lldy complex(psb_dpk_) :: zdotc + logical :: global_ character(len=20) :: name, ch_err name='psb_zdot' @@ -193,6 +206,12 @@ function psb_zdot(x, y,desc_a, info, jx, jy) result(res) goto 9999 end if + if (present(global)) then + global_ = global + else + global_ = .true. + end if + m = desc_a%get_global_rows() lldx = size(x,1) lldy = size(y,1) @@ -228,7 +247,7 @@ function psb_zdot(x, y,desc_a, info, jx, jy) result(res) end if ! compute global sum - call psb_sum(ictxt, res) + if (global_) call psb_sum(ictxt, res) call psb_erractionrestore(err_act) return @@ -284,7 +303,7 @@ end function psb_zdot ! desc_a - type(psb_desc_type). The communication descriptor. ! info - integer. Return code ! -function psb_zdotv(x, y,desc_a, info) result(res) +function psb_zdotv(x, y,desc_a, info,global) result(res) use psb_base_mod, psb_protect_name => psb_zdotv implicit none @@ -292,11 +311,13 @@ function psb_zdotv(x, y,desc_a, info) result(res) type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info complex(psb_dpk_) :: res + logical, intent(in), optional :: global ! locals integer(psb_ipk_) :: ictxt, np, me, idx, ndm,& & err_act, iix, jjx, ix, jx, iy, jy, iiy, jjy, i, m, nr, & & lldx, lldy + logical :: global_ complex(psb_dpk_) :: zdotc character(len=20) :: name, ch_err @@ -314,6 +335,12 @@ function psb_zdotv(x, y,desc_a, info) result(res) goto 9999 endif + if (present(global)) then + global_ = global + else + global_ = .true. + end if + ix = ione iy = ione jx = ione @@ -352,7 +379,7 @@ function psb_zdotv(x, y,desc_a, info) result(res) end if ! compute global sum - call psb_sum(ictxt, res) + if (global_) call psb_sum(ictxt, res) call psb_erractionrestore(err_act) @@ -409,7 +436,7 @@ end function psb_zdotv ! desc_a - type(psb_desc_type). The communication descriptor. ! info - integer. Return code ! -subroutine psb_zdotvs(res, x, y,desc_a, info) +subroutine psb_zdotvs(res, x, y,desc_a, info,global) use psb_base_mod, psb_protect_name => psb_zdotvs implicit none @@ -417,11 +444,13 @@ subroutine psb_zdotvs(res, x, y,desc_a, info) complex(psb_dpk_), intent(out) :: res type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global ! locals integer(psb_ipk_) :: ictxt, np, me, idx, ndm,& & err_act, iix, jjx, ix, iy, iiy, jjy, i, m,nr, & & lldx, lldy + logical :: global_ complex(psb_dpk_) :: zdotc character(len=20) :: name, ch_err @@ -439,6 +468,12 @@ subroutine psb_zdotvs(res, x, y,desc_a, info) goto 9999 endif + if (present(global)) then + global_ = global + else + global_ = .true. + end if + ix = ione iy = ione m = desc_a%get_global_rows() @@ -475,7 +510,7 @@ subroutine psb_zdotvs(res, x, y,desc_a, info) end if ! compute global sum - call psb_sum(ictxt, res) + if (global_) call psb_sum(ictxt, res) call psb_erractionrestore(err_act) return @@ -532,7 +567,7 @@ end subroutine psb_zdotvs ! desc_a - type(psb_desc_type). The communication descriptor. ! info - integer. Return code ! -subroutine psb_zmdots(res, x, y, desc_a, info) +subroutine psb_zmdots(res, x, y, desc_a, info,global) use psb_base_mod, psb_protect_name => psb_zmdots implicit none @@ -540,11 +575,13 @@ subroutine psb_zmdots(res, x, y, desc_a, info) complex(psb_dpk_), intent(out) :: res(:) type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global ! locals integer(psb_ipk_) :: ictxt, np, me, idx, ndm,& & err_act, iix, jjx, ix, iy, iiy, jjy, i, m, j, k, nr, & & lldx, lldy + logical :: global_ complex(psb_dpk_) :: zdotc character(len=20) :: name, ch_err @@ -562,6 +599,11 @@ subroutine psb_zmdots(res, x, y, desc_a, info) goto 9999 endif + if (present(global)) then + global_ = global + else + global_ = .true. + end if ix = ione iy = ione @@ -611,7 +653,7 @@ subroutine psb_zmdots(res, x, y, desc_a, info) ! compute global sum - call psb_sum(ictxt, res(1:k)) + if (global_) call psb_sum(ictxt, res(1:k)) call psb_erractionrestore(err_act) return diff --git a/base/psblas/psb_znrm2.f90 b/base/psblas/psb_znrm2.f90 index 40e2156b..b3fd48df 100644 --- a/base/psblas/psb_znrm2.f90 +++ b/base/psblas/psb_znrm2.f90 @@ -44,7 +44,7 @@ ! info - integer. Return code ! jx - integer(optional). The column offset for sub( X ). ! -function psb_znrm2(x, desc_a, info, jx) result(res) +function psb_znrm2(x, desc_a, info, jx,global) result(res) use psb_desc_mod use psb_check_mod use psb_error_mod @@ -56,10 +56,12 @@ function psb_znrm2(x, desc_a, info, jx) result(res) integer(psb_ipk_), intent(in), optional :: jx integer(psb_ipk_), intent(out) :: info real(psb_dpk_) :: res + logical, intent(in), optional :: global ! locals integer(psb_ipk_) :: ictxt, np, me,& & err_act, iix, jjx, ndim, ix, ijx, i, m, id, idx, ndm, ldx + logical :: global_ real(psb_dpk_) :: dznrm2, dd character(len=20) :: name, ch_err @@ -84,6 +86,12 @@ function psb_znrm2(x, desc_a, info, jx) result(res) ijx = 1 endif + if (present(global)) then + global_ = global + else + global_ = .true. + end if + m = desc_a%get_global_rows() ldx = size(x,1) call psb_chkvect(m,ione,ldx,ix,ijx,desc_a,info,iix,jjx) @@ -114,7 +122,7 @@ function psb_znrm2(x, desc_a, info, jx) result(res) res = dzero end if - call psb_nrm2(ictxt,res) + if (global_) call psb_nrm2(ictxt,res) call psb_erractionrestore(err_act) return @@ -168,7 +176,7 @@ end function psb_znrm2 ! desc_a - type(psb_desc_type). The communication descriptor. ! info - integer. Return code ! -function psb_znrm2v(x, desc_a, info) result(res) +function psb_znrm2v(x, desc_a, info,global) result(res) use psb_desc_mod use psb_check_mod use psb_error_mod @@ -179,13 +187,13 @@ function psb_znrm2v(x, desc_a, info) result(res) type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info real(psb_dpk_) :: res + logical, intent(in), optional :: global ! locals integer(psb_ipk_) :: ictxt, np, me,& & err_act, iix, jjx, ndim, ix, jx, i, m, id, idx, ndm, ldx + logical :: global_ real(psb_dpk_) :: dznrm2, dd - -!!$ external scombnrm2 character(len=20) :: name, ch_err name='psb_znrm2v' @@ -202,6 +210,11 @@ function psb_znrm2v(x, desc_a, info) result(res) goto 9999 endif + if (present(global)) then + global_ = global + else + global_ = .true. + end if ix = 1 jx=1 m = desc_a%get_global_rows() @@ -233,8 +246,7 @@ function psb_znrm2v(x, desc_a, info) result(res) res = dzero end if - call psb_nrm2(ictxt,res) - + if (global_) call psb_nrm2(ictxt,res) call psb_erractionrestore(err_act) return @@ -246,7 +258,7 @@ end function psb_znrm2v -function psb_znrm2_vect(x, desc_a, info) result(res) +function psb_znrm2_vect(x, desc_a, info,global) result(res) use psb_desc_mod use psb_check_mod use psb_error_mod @@ -258,12 +270,13 @@ function psb_znrm2_vect(x, desc_a, info) result(res) type(psb_z_vect_type), intent (inout) :: x type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global ! locals integer(psb_ipk_) :: ictxt, np, me,& & err_act, iix, jjx, ndim, ix, jx, i, m, id, idx, ndm, ldx + logical :: global_ real(psb_dpk_) :: snrm2, dd -!!$ external dcombnrm2 character(len=20) :: name, ch_err name='psb_znrm2v' @@ -286,6 +299,11 @@ function psb_znrm2_vect(x, desc_a, info) result(res) goto 9999 endif + if (present(global)) then + global_ = global + else + global_ = .true. + end if ix = 1 jx=1 @@ -307,18 +325,21 @@ function psb_znrm2_vect(x, desc_a, info) result(res) if (desc_a%get_local_rows() > 0) then ndim = desc_a%get_local_rows() res = x%nrm2(ndim) -!!$ ! adjust because overlapped elements are computed more than once -!!$ do i=1,size(desc_a%ovrlap_elem,1) -!!$ idx = desc_a%ovrlap_elem(i,1) -!!$ ndm = desc_a%ovrlap_elem(i,2) -!!$ dd = dble(ndm-1)/dble(ndm) -!!$ nrm2 = nrm2 * sqrt(done - dd*(abs(x(idx))/nrm2)**2) -!!$ end do - else + ! adjust because overlapped elements are computed more than once + if (size(desc_a%ovrlap_elem,1)>0) then + if (x%is_dev()) call x%sync() + do i=1,size(desc_a%ovrlap_elem,1) + idx = desc_a%ovrlap_elem(i,1) + ndm = desc_a%ovrlap_elem(i,2) + dd = dble(ndm-1)/dble(ndm) + res = res - sqrt(zone - dd*(abs(x%v%v(idx))/res)**2) + end do + end if + else res = dzero end if - call psb_nrm2(ictxt,res) + if (global_) call psb_nrm2(ictxt,res) call psb_erractionrestore(err_act) return @@ -329,7 +350,6 @@ function psb_znrm2_vect(x, desc_a, info) result(res) end function psb_znrm2_vect - !!$ !!$ Parallel Sparse BLAS version 3.5 !!$ (C) Copyright 2006-2018 @@ -373,7 +393,7 @@ end function psb_znrm2_vect ! desc_a - type(psb_desc_type). The communication descriptor. ! info - integer. Return code ! -subroutine psb_znrm2vs(res, x, desc_a, info) +subroutine psb_znrm2vs(res, x, desc_a, info,global) use psb_desc_mod use psb_check_mod use psb_error_mod @@ -384,13 +404,13 @@ subroutine psb_znrm2vs(res, x, desc_a, info) real(psb_dpk_), intent(out) :: res type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: global ! locals integer(psb_ipk_) :: ictxt, np, me,& & err_act, iix, jjx, ndim, ix, jx, i, m, id, idx, ndm, ldx + logical :: global_ real(psb_dpk_) :: nrm2, dznrm2, dd - -!!$ external scombnrm2 character(len=20) :: name, ch_err name='psb_znrm2' @@ -407,6 +427,12 @@ subroutine psb_znrm2vs(res, x, desc_a, info) goto 9999 endif + if (present(global)) then + global_ = global + else + global_ = .true. + end if + ix = 1 jx = 1 m = desc_a%get_global_rows() @@ -439,7 +465,7 @@ subroutine psb_znrm2vs(res, x, desc_a, info) res = dzero end if - call psb_nrm2(ictxt,res) + if (global_) call psb_nrm2(ictxt,res) call psb_erractionrestore(err_act) diff --git a/base/psblas/psb_znrmi.f90 b/base/psblas/psb_znrmi.f90 index c917b784..c0d169b9 100644 --- a/base/psblas/psb_znrmi.f90 +++ b/base/psblas/psb_znrmi.f90 @@ -41,7 +41,7 @@ ! desc_a - type(psb_desc_type). The communication descriptor. ! info - integer. Return code ! -function psb_znrmi(a,desc_a,info) result(res) +function psb_znrmi(a,desc_a,info,global) result(res) use psb_base_mod, psb_protect_name => psb_znrmi implicit none @@ -49,10 +49,12 @@ function psb_znrmi(a,desc_a,info) result(res) integer(psb_ipk_), intent(out) :: info type(psb_desc_type), intent(in) :: desc_a real(psb_dpk_) :: res + logical, intent(in), optional :: global ! locals integer(psb_ipk_) :: ictxt, np, me,& & err_act, n, iia, jja, ia, ja, mdim, ndim, m + logical :: global_ character(len=20) :: name, ch_err name='psb_znrmi' @@ -69,6 +71,12 @@ function psb_znrmi(a,desc_a,info) result(res) goto 9999 endif + if (present(global)) then + global_ = global + else + global_ = .true. + end if + ia = 1 ja = 1 m = desc_a%get_global_rows() @@ -101,7 +109,7 @@ function psb_znrmi(a,desc_a,info) result(res) end if ! compute global max - call psb_amx(ictxt, res) + if (global_) call psb_amx(ictxt, res) call psb_erractionrestore(err_act) return diff --git a/base/psblas/psb_zspnrm1.f90 b/base/psblas/psb_zspnrm1.f90 index 19b5164c..95796ff5 100644 --- a/base/psblas/psb_zspnrm1.f90 +++ b/base/psblas/psb_zspnrm1.f90 @@ -41,7 +41,7 @@ ! desc_a - type(psb_desc_type). The communication descriptor. ! info - integer. Return code ! -function psb_zspnrm1(a,desc_a,info) result(res) +function psb_zspnrm1(a,desc_a,info,global) result(res) use psb_base_mod, psb_protect_name => psb_zspnrm1 implicit none @@ -49,10 +49,12 @@ function psb_zspnrm1(a,desc_a,info) result(res) integer(psb_ipk_), intent(out) :: info type(psb_desc_type), intent(in) :: desc_a real(psb_dpk_) :: res + logical, intent(in), optional :: global ! locals integer(psb_ipk_) :: ictxt, np, me, nr,nc,& & err_act, n, iia, jja, ia, ja, mdim, ndim, m + logical :: global_ character(len=20) :: name, ch_err real(psb_dpk_), allocatable :: v(:) @@ -70,6 +72,12 @@ function psb_zspnrm1(a,desc_a,info) result(res) goto 9999 endif + if (present(global)) then + global_ = global + else + global_ = .true. + end if + ia = 1 ja = 1 m = desc_a%get_global_rows() @@ -119,7 +127,7 @@ function psb_zspnrm1(a,desc_a,info) result(res) res = dzero end if ! compute global max - call psb_amx(ictxt, res) + if (global_) call psb_amx(ictxt, res) call psb_erractionrestore(err_act) return From 4a6c0857f18cfbcfdec6bbaf0b0125d0f6fa71c6 Mon Sep 17 00:00:00 2001 From: Salvatore Filippone Date: Fri, 20 Apr 2018 15:57:26 +0100 Subject: [PATCH 3/7] Updated description of DOT and friends to account for optional GLOBAL var. --- docs/html/footnode.html | 12 +- docs/html/img100.png | Bin 340 -> 175 bytes docs/html/img101.png | Bin 217 -> 336 bytes docs/html/img102.png | Bin 316 -> 486 bytes docs/html/img103.png | Bin 258 -> 310 bytes docs/html/img104.png | Bin 184 -> 340 bytes docs/html/img105.png | Bin 620 -> 217 bytes docs/html/img106.png | Bin 332 -> 316 bytes docs/html/img107.png | Bin 134 -> 258 bytes docs/html/img108.png | Bin 254 -> 184 bytes docs/html/img109.png | Bin 357 -> 620 bytes docs/html/img110.png | Bin 241 -> 332 bytes docs/html/img111.png | Bin 233 -> 134 bytes docs/html/img112.png | Bin 222 -> 254 bytes docs/html/img113.png | Bin 360 -> 357 bytes docs/html/img114.png | Bin 203 -> 241 bytes docs/html/img115.png | Bin 243 -> 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a/docs/html/footnode.html +++ b/docs/html/footnode.html @@ -14,7 +14,7 @@ - + @@ -137,8 +137,8 @@ sample scatter/gather routines. . -
... follows4
+
... follows4
The string is case-insensitive 
.
@@ -173,12 +173,12 @@ sample scatter/gather routines.
 .
-
... method5
+
... method5
Note: the implementation is for $FCG(1)$. 
.
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ztHK%3NLj&=;Xt}iwLNnvgUG05e@y9JuJhk&@^Fe({?0~f$
z+?=@R0;h>$&s|*D>#!2xV9I_?En-WWj~7_ONU?Z?Biw-}!ij8BlP9x*>0$(nxMDr_
zh>l1@FH1uqzOs#g(opsk)2i1#dZCt(3)7-lzyRfaYym4wF{9OpEI*(ld>Ac<+Lixq
zQul+BI6`Mm9f99td!y#ig^)wV<4*)fDAteb;zB<9#6*D*%+`S&;jjn{i7f-?@KB^Z
z$#U(=l?D@lH+{u)H)XlZSPhZI*t-l<_>c~ELa)dkjUJDO>P8(_VI%nL6?ux){O#{&qP*@0yOT;e|vGk!4uv)Kap6yOqiV6wIVM9yJg
zI0&S;{ffUcFdl%&*A@baHw+BtfRyPcfoBZN7oa-70kI84;z2vmX8sSDIvAD$ZDx9a
zWCv7&Gl5}gfD9{=t6~^f!InGlQ7LSA%Z=m@-U-YNK#HS)_40$*IwX&CUW^C;g$4tI
zAOm9na*)V9Kn*ba|3JWi1;o93_wFS&iBW(b007%AH0#O3c}@TT002ovPDHLkV1kWz
BUBdtX

diff --git a/docs/html/img103.png b/docs/html/img103.png
index 76aba14992ae4a4e84029eae81afa1aa9bcd2016..493bdcc4a555e9a62de2aaee551c84c23965cbe8 100644
GIT binary patch
delta 244
zcmV6#$Xt9~kBr
zJ21=zv-k~wB783|a4Iq^^YMRRE8uou_zz++@PV!53Ya6nQ2-PIvY~ERLtq!oaekA)dX?)k*rI8o83zQNPQF@$4ga>4@P
z8=vm%Yq-7shc)wI?W5%mcEx*?;+tNoH>UIO$UhfnVEtjiHACMfBYgwwCiUj61*{+H
z6CzH1nBUlVnL)>(w^4hFabsd8L%>0n4GVetckGn?A!1fgm-?4MC?maN>tl_Cy?-3$
sJ)OYdq0rD6*f6!xae^bm5;10mTvz#=X)6Pc10BWS>FVdQ&MBb@0F9hRB>(^b

diff --git a/docs/html/img104.png b/docs/html/img104.png
index dca7425991c402a644865b087bab004598ca20d9..86b732f9a792856c95330b86ea376a99401551c3 100644
GIT binary patch
delta 274
zcmV+t0qy>{0n`E^iBL{Q4GJ0x0000DNk~Le0000b0000W1Oos70B3!ygOMRjf6_@r
zK~yM_V_={iFa=_6D4SaVOtC*;V4lGG0U{O4!0_Nd14s%4
z^f(VPw1dPLmcqms5AY>0ESyW3w#L$Ksz`J4WM=aH94Cr8vxzH
zzZ>Wlum_kPFmMX6GB9{DFic=zkOc{S4THKl1Wbbb#+um)3yKFIF4&4VxaYnih1Ey`
Y0LSz%N)>GtiU0rr07*qoM6N<$f`X-FMgRZ+

delta 117
zcmcb@w1ZKxGr-TCmrII^fq{Y7)59eQNb>+O9}6>(d^!2S{fUY`-e#UIjv*W~lM@se
z&*+yiOq$bmhSQ;IZG-fY*~$k38J5g5EO2F7xs&JojYg5~!ik0+hh5qj*chI(yea?j-$X_4T!wH@7sn8enaK$Y
zq;7n=v#;Ud)JN6|lP%*W>Nh@o{D(}Fwvf5>@@vR2(Z!$~H+7^0r?ZbkUA*~XzLrzvkfji4@;n3+4kh!Kge0v|&K
zg2ik94b)Skiy5OCVqB=w6Enc#kY`!qC
zyEyiU8Feq-yz0VdxIfTFBsli=Ylk>9xlH{Umt!csRe{~@5i5UaQt61{@6zn913O0kaL-~E_aSZoLu{GZx8?j<&fQGg!+0NXA!>&e4;P5=M^07*qoM6N<$f@_am
Ar~m)}

delta 266
zcmV+l0rmd80?Yy-iBL{Q4GJ0x0000DNk~Le000160000T1Oos705=&8+mRtmf67Tj
zK~y-6V_+CufO!HkPn?i)CIckS>${}c^_RNJ+3N`^=k_c9&cN_W@g0!;ZZ44E{|^NJ
za49$aB=C%Z;p6-QAp608f~G%cXRrlQlfj&&gx$WB0ca*CI0Ts$fZ@(@7YOd*QqGyc
zurvT@I4FWR3X#Jdr2IVt1K$T^V2ay;PhkV+SJn?8U+zX${a))k!=DKZ{0kTueldV4
zAdjPf_3{IGmO}y{6)0%{1o$SP@mLuc1Q`S{6+!?z9v&7j4-an?i~xcS;h*KZtH#S~o&@t$3)ShD8n3%~BaFAugLZ1E|J7s@}m=)Be{$&u#
zNblJCSR-NYABTBQCop&@G&BY_Ol@?W;K;CqnIYFzK4;p>fa5^7FnGH9xvXqyv0HTn`*Lpr)o)TwKhtJzX3_IA$g%IIue=Y*OJpl&##q
dN+2(Zf#LBlwk(D35*|QB44$rjF6*2UngEzuB?SNg

diff --git a/docs/html/img108.png b/docs/html/img108.png
index 8ca3ed43ac00e7fca1a99aecb08c0c28aa40317c..dca7425991c402a644865b087bab004598ca20d9 100644
GIT binary patch
delta 117
zcmeyzxPwu#Gr-TCmrII^fq{Y7)59eQNb>+O9}6>(d^!2S{fUY`-e#UIjv*W~lM@se
z&*+yiOq$bmhSQ;IZG-fY*~$k38J5g5EO2F7xs&JojYg5~!ik0+hh5qj*chI3nXX&

delta 188
zcmdnN_>WPsGr-TCmrII^fq{Y7)59eQNJ|1SKMOOEeC$zqZK9%2eT}D!V+hC0P`j9yVrM=W&dg(LwG$>%NAaJm+ux)XQP;j5AA1Fw`?j+xw4U
mO-MsyqLMR1vj#IW!>n~eG8F=ok}m@t#Ng@b=d#Wzp$Pzcc|x)P

diff --git a/docs/html/img109.png b/docs/html/img109.png
index 596d70023febc2645174c9d03868d0cf7e66b2de..17a85bdefa6517814b144b573d69142fde9d08ac 100644
GIT binary patch
delta 603
zcmV-h0;K)r0_+4YiBL{Q4GJ0x0000DNk~Le0001d0000W1Oos703v(=0RR91Fi=cX
zMZmzov$M02EFOOV001*HGmVXnSy@?$hjTOl0004WQchC6Eo-
z=vHXm|3IOXteOH{Vu3NCq$IgJ$+3j;AH)ZG`t;Lx(&K;b9xw|ELj%?w41V6bjH&lU
zeA^~fiV|kI6J~gwZ0h;|W=MGAZOF<`4O}IjhkC+_O()FmC_snttyjYFczuLCE9_=r
zgn!6+i?UYTJi|#Qy%?gN@@_@=vf0L=D5oiJK8>I*mYA74z=#ovuL2)K1%kzE{|(er
zql+OcSaE+n{1qIy&xqliKJk+giB|$wU`K+*Ydg_=&uZhE6~Ez<>1({lH)06s8Zsks
zou)8?+h#7S+
z-n{C_K{QulaCDdna$W1JbiPMOW?F*
zoNj_YLs0vbb7>88PH*pOe8>^e)ZEDGveDuLlP5P@8ynj@<{5G&Y=SqMT3$1$956U2
iE6nDyp`Ymy1H*qwv(s1Ycr<{1X7F_Nb6Mw<&;$TOFmww5

diff --git a/docs/html/img110.png b/docs/html/img110.png
index 449a3c08420535816021c3fdf56263aa83d07887..53d08568446c39a998ba09ff800022dd5b52a726 100644
GIT binary patch
delta 266
zcmV+l0rmdz0n7p+iBL{Q4GJ0x0000DNk~Le000160000T1Oos705=&8+mRtmf67Tj
zK~y-6V_+CufO!HkPn?i)CIckS>${}c^_RNJ+3N`^=k_c9&cN_W@g0!;ZZ44E{|^NJ
za49$aB=C%Z;p6-QAp608f~G%cXRrlQlfj&&gx$WB0ca*CI0Ts$fZ@(@7YOd*QqGyc
zurvT@I4FWR3X#Jdr2IVt1K$T^V2ay;PhkV+SJn?8U+zX${a))k!=DKZ{0kTueldV4
zAdjPf_3{IGmO}y{6)0%{1o$SP@mLuc1Q`S{6+!?z9v&7j4-an?i~IYEKv
z#_Ln_#Sc_|;(5y>zu*l6n{(Sz9yS5K$3bjt=U8SKy(@Nj!|>Rb?UTiWv>J=^2M&lb
z7~49`Z~T4Uf5*%42|54%_=z8Uc<1{$@q>@k6MnQl$W2Yy&{#ZgPI|)r&;1qyv0HTn`*Lpr)o)TwKhtJzX3_IA$g%IIue=Y*OJpl&##q
dN+2(Zf#LBlwk(D35*|QB44$rjF6*2UngEzuB?SNg

literal 233
zcmeAS@N?(olHy`uVBq!ia0vp^vOp}y!VDypG&v>#Dct~{5Z40-4s71MSxrr?p`pRY
z$7k8HWs;JT#l^+;_VzPp&P+>711dB&Hty~1jf{-^`Tp}sAfK@$$S;_|;n@w4WR|Ck
zV~E7mxXn>gB%v)Cp8DJ41n_BQZB*iab1M5e*
zKj{_6!w$SX@Iih}ou>0a8OA;)Hd}#q?ABY`_w_YSQVN*|-)q$`
z_?)VfZsK={NsuYz!1|@DgPF}2$TM5mU0ZC=x>)b-q?D~K-`I}Ul{RdvpA@05T&y
Vg)f{{ms>y%_jL7hS?83{1OOjzRxtno

diff --git a/docs/html/img113.png b/docs/html/img113.png
index 7174a30adf8f00eab85ea24ab7b7e95f6b64cc00..596d70023febc2645174c9d03868d0cf7e66b2de 100644
GIT binary patch
delta 338
zcmaFC^pr`bGr-TCmrII^fq{Y7)59eQNb3W!0t+*cEQq)90#dpGJ|V6L4jh=MFIT^L
z^JZgX_K{QulaCDdna$W1JbiPMOW?F*
zoNj_YLs0vbb7>88PH*pOe8>^e)ZEDGveDuLlP5P@8ynj@<{5G&Y=SqMT3$1$956U2
iE6nDyp`Ymy1H*qwv(s1Ycr<{1X7F_Nb6Mw<&;$TGMsx)L

delta 341
zcmaFL^nyvhGr-TCmrII^fq{Y7)59eQNP7XXEDJM`{9pQ<7f2Zd_=LC~IB;O|=FJmz
zU3Iy}gl}<4?IxQ*qCT^xcNU1|1HU!MyLAs_i`)0>oKSu=KLlS&hVezpjeaRultIo
z6AWLQ516p63s5L#+I)!R9823$Mvn5vR102(%D`G?q4t}~}f
zJYzr7eB&+8#obuGr-TCmrII^fq{Y7)59eQNJ{~+2n#ciOw2Rrov7$jpYQ477$Pw>IYEKv
z#_Ln_#Sc_|;(5y>zu*l6n{(Sz9yS5K$3bjt=U8SKy(@Nj!|>Rb?UTiWv>J=^2M&lb
z7~49`Z~T4Uf5*%42|54%_=z8Uc<1{$@q>@k6MnQl$W2Yy&{#ZgPI|)r&;1(yznKkWul@_oTsOYV+hC0{|{rbmZoN8uJ;lvUtG(+7XVotkmqSjTegf+H|0c^{!vTJ0U{byQnf&JQJfomdc
lZE6OOPj)eUn^Vuj!=Utu|KsXlT_d3344$rjF6*2UngE<`E5ZN(

diff --git a/docs/html/img115.png b/docs/html/img115.png
index 1dc3fc9735bf5bdd973417a5a285c0d849c10629..0f22ca533de1e6c7795d9848dfee6d7fe02d637b 100644
GIT binary patch
delta 209
zcmey&_>xhzGr-TCmrII^fq{Y7)59eQNXr7T91Am$RMO;_1f+B)sw&l|rKJIx#>U3I
zy}glzO*H
zy>9)GZfualV*I4$;FVmqw!H$9-ySPmk~-JUq3}eq;&;H+?c59}GuW>6dfbw%P%|)Z
z$k0sh&^p&F$f&SO?3uE|P41Mc5`*Tu8VSr+@(h*NHRrkVZNCS!mci52&t;ucLK6Ub
C?L~Y5

delta 219
zcmaFK_?c0)Gr-TCmrII^fq{Y7)59eQNJ|4T9}6>()OlFt2c!%psw&m<@bILir2%=y
z#>Tz9y^)cTo$bXYKt5whkY6x^!?PP8$wE&T#}JO0$q5RASMJ|G5Ky1$bmA{(g5Gx~
zHnwAzd2|HinBAEt6eMqG(Ry}^LFJi*v#R7X76#5`B{KqVA7GPdEsSmdKI;Vst0QLJuYXATM

diff --git a/docs/html/img116.png b/docs/html/img116.png
index 303731c2db6363bf9c50e56d58e7e03810bcf007..bec89570d1194a436136910b899f52068a217fff 100644
GIT binary patch
literal 222
zcmeAS@N?(olHy`uVBq!ia0vp^@<7bT0VEhc`Omlwq?k&A{DK*7cFtMu0pv~hba4!k
zn0nRUQIN%uV|9a+1#|WSrm}bY*$fW+PBUm=WVyn?mZfk>?ABY`_w_YSQVN*|-)q$`
z_?)VfZsK={NsuYz!1|@DgPF}2$TM5mU0ZC=x>)b-q?D~K-`I}Ul{RdvpA@05T&y
Vg)f{{ms>y%_jL7hS?83{1OOjzRxtno

literal 786
zcmV+t1MU2YP)@Km#;D1C(|)7?Mdc
zn_F~RbWd6_Ya9Fd0|=D=5U`rS3}7{Z8Nm38>qvYTpljZ}DPKq#yBR8+4OU7xx#TF9?N?Cc#X3_Q$gX&a3$x`aKeS
zvY4*Oj?a=73y;kauetsk9g<|1okvd>1P)}QEJh?YXgrOnR#{07JxZy9$DQ15ce$H1
z6(Z-caiQu5Vex$ws-RKXQpvnOknOV#YSRMNk&Y%8lFgO_8%@&<)Lw+-tmMjd$aV9<
zf3BBAW#XuqNMh^R90p}o{SJ}E2bNGjxTJY&`X(4uJd<(d)-O2dobJmF+Z>?~e>u78
zv^GtM-&{z!jr2H+DzlP=bwL~aIMPk^s|E~#-N^@+w7Bm7L?xcjjFPrZBqJTAAQEO5
zhnELlB1n130GA_)ALCWmWYtmGsM(%IdZaN}r_~?I7>4SSF-8#pb)Oc4y}w;mHD2A-l6DI+Y&@v2PYG})9or~z
zXkTQQ*c!`D9Q)~2aW?X(2Ba*VmR;`K4=*ivdHNgEpPSHqCyw)Vsyf8FHgZQ}0n
zk%&Xh3OUvfyM^=~&6|P}e(@Y!XY&&PPQ#FYqv4mpUvUom<*@$*pxnFpgb=OMR0yBWs1ZDuM3CsXi6PN+4CNKk7O<)GFn!pTTHGvtxY63HW)dXhn2R$_2+UEqX
Q-2eap07*qoM6N<$g7T?p1^@s6

diff --git a/docs/html/img117.png b/docs/html/img117.png
index 05296cb17f80c7dd5b12bbd5fb384f7eeadd3ee9..7174a30adf8f00eab85ea24ab7b7e95f6b64cc00 100644
GIT binary patch
delta 294
zcmV+>0onfY0_XxEiBL{Q4GJ0x0000DNk~Le0000=0000T1Oos70RMI84Ur*Cf96R<
zK~y-6V_+Caz&wE%RZIqOCM!|Kz9&=Fmgn{b46hX5vDY(j`xSpjQU#XbTO{`Y=;nAu
zz66Gk^9$b1Wib6D@C=~}BEv5U(#XeAz8Ek<<@7`^B_bvb?!wL2j
zR{;M9Fmovg{YR*R$N=?&z%&M~d{7{B0<*#d&IE>~0SI@2WjGBu!ER)D#LfAY^#ezt
z0k;F6!UiPQ17#TI2gHNe?F_MY@+^l0_;)jK6tG@?fKUaJVf^5u2x12?FbW7T0AptY
sD98noLINbi$iRs+REdkBQ7|k407KMC4TETZYXATM07*qoM6N<$f_?aMe*gdg

delta 305
zcmV-10nYyD0`dYOiBL{Q4GJ0x0000DNk~Le0000!0000W1Oos70Jt;OoRJ|+fAC2}
zK~yM_V_+CGfH?q7fE!9%LZ~_h2F3zpdDagQS{cUU+j{}UfPcsw{s};gDldV|VPe3L
z=M?~vA^q?ZOr;
zANU#I?gQ)E!tjV2;y#Ao8+MrcZ3Ov`@6&o<0P-&YX<~@AW8ejcI41+E04D(4h-l3C43q7p-aQ!2MYLc#qTH>H~;`EIXUfR3EblV0000<2SrXqu0mjf
Dwi0^(

diff --git a/docs/html/img118.png b/docs/html/img118.png
index 54b8b872dee971463d565456cc307296c1b7ad44..47a31088b6a98e456d4ecb72a3877d250bc2bdf8 100644
GIT binary patch
delta 137
zcmZo+KFz4u8Q|y6%O%Cdz`(%k>ERLtq=kT(kA)dXUicE&GEvbxp25@8#W93qW^#f8
z!;Sw{n|}RcF-|ozsBmJ56q=##5HY7+H&N>Si07ZcAE;MfNXZQeeX}d7GOMxQ5aM;b=T=H4~()OlFtH&M~2zR=UfF@$4ga)N^3
zmHYP(1k|TGo%qX{p!c1LjqTWF9vuNWW_RWZ1<4y)w4U8!P

delta 264
zcmV+j0r&p%0m=d)iBL{Q4GJ0x0000DNk~Le0000b0000W1Oos70B3!ygOMRjf5=Hh
zK~yM_V_={eU=9Eh8=xFZ2vr9Zo)8ZeQwEc)9~c;z4EP@)YvrE+A{iTy#h4(}MKD?Z
zfpL4EZNOXx2KIUehR+}&zLyuc8Sb-9c+bG_4k*4KEXMzVlOd0R;Xebz10a46*2@*Z
zz<2;G#;_D7X2i+Beu0(29_T!UUI`Gr4DG@eEFbt8fM#(N8bIt|_`P9=x!*>RTljY~
zFkA(TaWb$9a56Bk0Np%+f$;*en^_&ezCrOD!#)rZk0Qjtj~rGb2><|FPc1a>$q_UF
O0000@Km#;D1C(|)7?Mdc
zn_F~RbWd6_Ya9Fd0|=D=5U`rS3}7{Z8Nm38>qvYTpljZ}DPKq#yBR8+4OU7xx#TF9?N?Cc#X3_Q$gX&a3$x`aKeS
zvY4*Oj?a=73y;kauetsk9g<|1okvd>1P)}QEJh?YXgrOnR#{07JxZy9$DQ15ce$H1
z6(Z-caiQu5Vex$ws-RKXQpvnOknOV#YSRMNk&Y%8lFgO_8%@&<)Lw+-tmMjd$aV9<
zf3BBAW#XuqNMh^R90p}o{SJ}E2bNGjxTJY&`X(4uJd<(d)-O2dobJmF+Z>?~e>u78
zv^GtM-&{z!jr2H+DzlP=bwL~aIMPk^s|E~#-N^@+w7Bm7L?xcjjFPrZBqJTAAQEO5
zhnELlB1n130GA_)ALCWmWYtmGsM(%IdZaN}r_~?I7>4SSF-8#pb)Oc4y}w;mHD2A-l6DI+Y&@v2PYG})9or~z
zXkTQQ*c!`D9Q)~2aW?X(2Ba*VmR;`K4=*ivdHNgEpPSHqCyw)Vsyf8FHgZQ}0n
zk%&Xh3OUvfyM^=~&6|P}e(@Y!XY&&PPQ#FYqv4mpUvUom<*@$*pxnFpgb=OMR0yBWs1ZDuM3CsXi6PN+4CNKk7O<)GFn!pTTHGvtxY63HW)dXhn2R$_2+UEqX
Q-2eap07*qoM6N<$g7T?p1^@s6

literal 298
zcmeAS@N?(olHy`uVBq!ia0vp^@<6P>!VDxO*6b?+QU(D&A+84w9N4^hvznS(Lqmg)
zkI%AY%OoWwi;Iix?d@mIoXNw(la`hSRBLQ(+}qn585!BxUTgy7GnNGT1v5B2y8)71
z;pyTSqA@W!VS!u%AA^we1eRA45;~HP1Z%GG^YEPF`NRK!>5s63N-}dy1E*6g3wQqe
z&Ac;C9|+*P@>Nphz}bTNxreIR_DvU;koeZjVj=lSLgJtChmXvmd)Tv6Y#4+R9&j~q
zZir7v-H@JO@TetgW5Uk^=NU}4#7bnn;49wWtB_sKEL$h~#)EM|)HF_q!;%vE3Ul5u
rl<6OO$@ANRWzutr9~bx9%P=r--%?fC`8>QI=w=2_S3j3^P6
zv$G~9CV+r|OiWCsrluJg8FO=UKR-X2nVAd>3}$9#0000pGc%2ijagY)iHCDE00001
zbW%=J06^y0W&i*H@JU2LR49>SU>G!jIRH(78%kS3s5%A)#sXw{)(;R`8OGz=djZ9O
zf5;sE2|$c0FM-TqV!)8+6#$Xt9~igy*#^vo$+I^Ai7n6V3mEtffGob37q}VjvrTx9
zEYBRT$d|yt4RRnK{|8QnJO+mU$ma8L6fj?4-~)SrD}aIV0Gd2dkpBZz-iVWd{Q@h4
zJ&OD^2Ch(u`3&vC7Azn58Q|^%>)OKbh#TTQhTj`@nEP!6`H%0@dSC$ZF92y`h_z$j
z1&25%1FHZh0|UzhWUm9=B)}kx650+7=l~^r8TO$|!{P@D_;JPWC>S^Z04q5;?PUqv
Q;{X5v07*qoM6N<$g10D-(*OVf

literal 804
zcmV+<1Ka$GP)<4%AUIGDmG)O`Yoc}9ewSZ~BY5~)LF^$VaOaWw)jk9OcaBuoOa5tZr+s(aW=4&{U
zf%J6?WO6ub$x?sf{({5)Y_pH43h$6AU&pvVZNZhvzTy5()z4Cb>eCGOW-s85rzN;f
z-iyR5q&K8I#O1@}8hl!6{_xnWmq}Y^rfyec~{sx32IhCvYHP}
z;mGCTgFaRw)7F^jRE|v@GlNLt~w6^CiEl`x#M3(OzTU{aB
zKVRy~S`x^9cJh~NnfFWD)-<0)|B+l@%DiVNy3agy&j6)9b
zvXd{$<5r%hdOW$d$ef-wo&-E!>IyDgVu~9dkz%e#Ol7Ue(AZlVMMsjdmr8Ioig}EU
zwZUNaT@KxUuEw6Xro6U=q>-!DdsN=@n+x%#%!$=_Jj$&KrHxQGAyO#lYc6odl9r}}
z%gurU6%HhBbiwm>8-=wP(erM|alADcM7gcO$VF$&Jt;5VT@71G)h4wHh@)}zwOq!2
z`0>w(mr@=kGIrL72Sg6rKm4~U%1u-+Ld!9@eW%_Z={NX<73hSi07ZcAE;MfNXZQeeX}d7GOMxQ5aM;b=T=H4~31ALjVAud7FnJL~u-7w4
zS3JJTFqeU$f`Q>PNa)>Mh7G(QG8x{3h4zDl9{gvRzy>t+KUm{?Fu9b0L52ZEh*@C*
zLoGu9gFRRXtdXP8xWS*{1IYOILr~-ScXKzFycPgC;uizMRj}F#41qw*zyfya1!SkP
nI$(H+VIRWVa8DuvXV?P(m~SgZ_p^Ww00000NkvXXu0mjf>6%%M

diff --git a/docs/html/img123.png b/docs/html/img123.png
index 395516d978c1c0e9453b3a376d1b0050970d8f5e..288b4a800ad6b5f7819701ea243719ffb064b30f 100644
GIT binary patch
delta 265
zcmV+k0rvju1Ihv+iBL{Q4GJ0x0000DNk~Le0000b0000W1Oos70B3!ygOMRie*nly
zL_t(2kz-(>8DI_o5*wf#O9)j56rKQIkX!h7
zGca5Qi*Yir3UD$oumIgWfr0S?vYS~Qz`jB88^b;j5sxCoz>geOBMATiTTd-C@5vD~
P00000NkvXXu0mjfO(bCI

delta 428
zcmV;d0aO0U0_y`IiBL{Q4GJ0x0000DNk~Le0000=0000W1Oos707sGYevu(de*tMp
zL_t(IjqQ@LOT$nQ#=qJ=ZJRcEE+P(6{|Gm0ii?}XL0r^S{09Q+B#Pir#3fS)!BND?
z2n8o~a1+srIEtxY>(P<885KWf$1;
zi{)Y$WqRA1#J&_Yzo>Ron#($ne*%(@X7{2(+pG)3CX0ROre@ofdzL9MbpR+ct4*dv
zLzl7Xy#i3E=oZjm>W)^tRt3i2WtpiVDN_Azo<7?gQ?tM&J6w@WxZi-ALz<~gU?t%u
zD2-ZS@~<*=OY#JwaLB3_zkuh6m1YY=t9caYUFtD(np+l!22tn0k#crQe@A)5=R8Mz
z(vuDDKBJ}_qDG`xjz~T#;6?Gf*Xrg6K$D1C;=#q+No+^Am78nw%3*O5cx=sMsYDX7
zA%MYFK^W9PCwao>*0tcx87;Ll2mkR$;s*?&
WVPo&uxQze+002ovPDHLk0$_p%>%v3;

diff --git a/docs/html/img124.png b/docs/html/img124.png
index 1cfdaf8a12105c39bf821c65ed8e1016f6a971aa..a802fa08b32be76cfd26f0852f4fcc8c68a37e0d 100644
GIT binary patch
delta 232
zcmV-4Ezt^0{jy|Bx3_yfC)lf1PgEPvkjQb
zz)%j<^%*3<&2XP>!g~h3mlqfq_JagC8S)qy{xk6L168~SYh*kC5@6s8fC;c)U}dmp
zU@+o@YO!GXz|R0Qv|Si#=niwgK8+x2e*+zU73@d>pjws*K*JdrFCd)m0Cq3J=?wco
i1d`_%_|d&T8~^|d+9f2p=U0ya0000agT=x2GW-|)4-5jJJKGsz?Z6^e
zAzptc0CMgGh5!ae0dSaJKnh4!2RIWN4p6WU&WcACX5fcM$OeW{KrR3P6e?vo!NOdg
Q!vFvP07*qoM6N<$f|u=k)Bpeg

diff --git a/docs/html/img125.png b/docs/html/img125.png
index 97bf076756306630769c6ecf031a8ddd90399030..88a40ab11ed3b0db4f4e76c082cda32addf75fa2 100644
GIT binary patch
literal 804
zcmV+<1Ka$GP)<4%AUIGDmG)O`Yoc}9ewSZ~BY5~)LF^$VaOaWw)jk9OcaBuoOa5tZr+s(aW=4&{U
zf%J6?WO6ub$x?sf{({5)Y_pH43h$6AU&pvVZNZhvzTy5()z4Cb>eCGOW-s85rzN;f
z-iyR5q&K8I#O1@}8hl!6{_xnWmq}Y^rfyec~{sx32IhCvYHP}
z;mGCTgFaRw)7F^jRE|v@GlNLt~w6^CiEl`x#M3(OzTU{aB
zKVRy~S`x^9cJh~NnfFWD)-<0)|B+l@%DiVNy3agy&j6)9b
zvXd{$<5r%hdOW$d$ef-wo&-E!>IyDgVu~9dkz%e#Ol7Ue(AZlVMMsjdmr8Ioig}EU
zwZUNaT@KxUuEw6Xro6U=q>-!DdsN=@n+x%#%!$=_Jj$&KrHxQGAyO#lYc6odl9r}}
z%gurU6%HhBbiwm>8-=wP(erM|alADcM7gcO$VF$&Jt;5VT@71G)h4wHh@)}zwOq!2
z`0>w(mr@=kGIrL72Sg6rKm4~U%1u-+Ld!9@eW%_Z={NX<73hq_!IAnU(*+|oOt$FBVpf%1#=(jd+>%c{AX`l
z$|I-n&4g`Tz&Vz-rwMy``giQq-w@BR@wQ~rTZ>uVEDmoN*xVS`U0~QDds*Px$E~6l
ij>#`+Hs)wJ!^U8HM31ALjVAud7FnJL~u-7w4
zS3JJTFqeU$f`Q>PNa)>Mh7G(QG8x{3h4zDl9{gvRzy>t+KUm{?Fu9b0L52ZEh*@C*
zLoGu9gFRRXtdXP8xWS*{1IYOILr~-ScXKzFycPgC;uizMRj}F#41qw*zyfya1!SkP
nI$(H+VIRWVa8DuvXV?P(m~SgZ_p^Ww00000NkvXXu0mjfNd#H+

delta 428
zcmV;d0aO020_y`IiBL{Q4GJ0x0000DNk~Le0001s0000T1Oos70B8t;l93@xe*tMp
zL_t(YiDO_G&VaE1h08pFES-FNFF;wW{veXc07H4m2dt(bbb3|yf=gO}qE8<08wfdogPZZX$TOeTBPV12-3-p=$_DKWj~IAgBZ&h&8f(YVTq1x|Cn}i0z$w7W5Wv6)Vj=;c
zhyYh8j-Ar2V&FR_TTf}#cLEWS3}o)`tAU=&aX006|Z
Wgk4YMmtp__002ovPDHLk0$_pzIH}wK

diff --git a/docs/html/img127.png b/docs/html/img127.png
index 85cad49a4a28a87fecd6be21f63b4bc747b9b93c..395516d978c1c0e9453b3a376d1b0050970d8f5e 100644
GIT binary patch
delta 427
zcmV;c0aX5y1nUDKiBL{Q4GJ0x0000DNk~Le0000=0000W1Oos707sGYevu(ee`!fX
zK~y-6?UJ!e!%z^$zuG=+n>KkaA`Vjj2sdkri<`tjT+~$j2LkFOir`ShB~u5%QN+mz
z1t)cI6VZw|im71h*483*5xr|tXbRm$Jb2%`-20L5a(TdSj#pY?qsO7+ZLwx$7ufQP
zM?YhTNZ}~QRl#sa&}5be|f~`JV$)e
zlMU`Zqoy39MxgESPlZaa4!NuE2Y)7}1n``pQVQ~_8Y|Ue-L=v$f
zfWcNl7}P*02N(!RggVA7GJ%1U%SPZ2`Ee1ThS%roerk5swcyPeEwwWT|M5rS2MnQM
VWAE6wjQ{`u07*qoM6N<$0fMA~!VLfb

delta 466
zcmV;@0WJRP1Cj(GiBL{Q4GJ0x0000DNk~Le0001h0000T1Oos70FdZ;WsxCFe~?K;
zK~y-6?Nc#N!ax{(wG>*=(#0KO+=*ahlA7q?q8(r`QDHI0t;)b;bTPPz3yD$U#H<6G
zA;EvZ>S7uO#08OH9P9NCLQ~r4tiIvzoRhQ7fci}Z
zh6%qOQjH=O;4h6UkVTzul0ZaKm%wluKsH$oRop0|PLhc->%j+2K`q=Pf5CU^G!Pot
zrkArR@R3p*!7V9=IhYcavMH1i%veEpegdA5WNX1BK|G9A&<=!D?hyx9Y$I#EgBn^P
z)Nwp91yp9w?BoM{@uRq?%Mm=^+ct{WS;qO&%9xS+ceEU?3p+^TE};p40?E#6;1pCd
z@IuNYaN&82A3bH#8BgqzD9*mR@PgIy(f`%i_cr*)KmItr0M6BYO5_$AMF0Q*07*qo
IM6N<$f)Cf*4gdfE

diff --git a/docs/html/img128.png b/docs/html/img128.png
index 8569567c4113363b84e9268c7d7b443ad80e7e6d..1cfdaf8a12105c39bf821c65ed8e1016f6a971aa 100644
GIT binary patch
delta 318
zcmV-E0m1&h0{;RbiBL{Q4GJ0x0000DNk~Le0000j0000Y1Oos706Ah!e32ncfBi{B
zK~yM_V_={SV5|agT=x2GW-|)4-5jJJKGsz?Z6^e
zAzptc0CMgGh5!ae0dSaJKnh4!2RIWN4p6WU&WcACX5fcM$OeW{KrR3P6e?vo!NOdg
Q!vFvP07*qoM6N<$g0RJV=l}o!

delta 252
zcmVu$mZiHV7~C6o#8J?4OamF2Zp5#9w7EK
z2Ch)f1cv2cy$p}Ixi7F^0I}N{V(mDZO9Vjd00u?@uFwFu9n%oj@wFAu#vi1EGYEjp
a1^_+WC|VB4>p1`b002ovPDHLk0$_rBRYKDM

delta 156
zcmaFIc%M#EkOVP

diff --git a/docs/html/img130.png b/docs/html/img130.png
index 5d5f10711f6e1e8f2ce311ec4b413e6664b279c5..2990ab4979e95e80665acbf17ef60d6bd91dc74b 100644
GIT binary patch
delta 427
zcmV;c0aX6v1M34JiBL{Q4GJ0x0000DNk~Le0001s0000T1Oos70B8t;l93@ye`!fX
zK~zYIV_+E0fUy9D%RGTBoqT&QKv}H*Ad<-dLwU#ttfnAzf&f31!|D=%-O>1V^Fe1-^uWEetXOY%`%LF&>m|f3`3@;^w}<
zj#VefGoRKYCu9EI49@1t2JH-w7^>Me_}~Q
zK~y-6V_+CDAiNZXYYD^=NAYVB2b0VWEE6F7kPjeI8HhO(zyhrP*fqYs3#Qlt_!J--
zUExyP4q%Ng0XXdZ3nu363
z=?q&K5OzLjXRrkkK-Kf!0Re_ihWB5=T&@7lgADCpL;gc-UCQtuM0jB6jA38}hY&Pu
zjX3!d7?y(L2@*=(#0KO+=*ahlA7q?q8(r`QDHI0t;)b;bTPPz3yD$U#H<6G
zA;EvZ>S7uO#08OH9P9NCLQ~r4tiIvzoRhQ7fci}Z
zh6%qOQjH=O;4h6UkVTzul0ZaKm%wluKsH$oRop0|PLhc->%j+2K`q=Pf5CU^G!Pot
zrkArR@R3p*!7V9=IhYcavMH1i%veEpegdA5WNX1BK|G9A&<=!D?hyx9Y$I#EgBn^P
z)Nwp91yp9w?BoM{@uRq?%Mm=^+ct{WS;qO&%9xS+ceEU?3p+^TE};p40?E#6;1pCd
z@IuNYaN&82A3bH#8BgqzD9*mR@PgIy(f`%i_cr*)KmItr0M6BYO5_$AMF0Q*07*qo
IM6N<$f>-U@sQ>@~

delta 453
zcmV;$0XqJY1cd}4iBL{Q4GJ0x0000DNk~Le0001)0000U1Oos70L{mt>5(B!e}hRx
zK~zYIV_+CTfVDh;8pbddfGHCOPyFfAKRo5p#7
zfkyz$kN=5X*#`*C`hNmp)A)d-e%l)u;;RdQxcFN?*fLfZq~P81+`fR{
zz1R`MG-jx2^S^?G{sX~31_sl=f7};16&W-^7~*oy{{aYT=6FTEgr|QQN^rUD#Ybdk
zKWJxQ;4NUd55nM3<%2j73ivn*m@fd;`~}+b4hSBgn`W{RB@~u2Fw7BPSPa7d!9MUt
zHjRNR02rD}89XpdV?DqS15ycg9LHTCxCc~|z`*c~fo~xQU*?264kpboe~p1F6sTr7
zhEEx8GFX7=_g|4>!2zU$w*Z6>azlLgA2}8n9&vMDV84KA+Fa3A2p=g@Ie-b9f8S>?
zz6T8h3E9%)s~#CK3;qV+9eC5X=b|`~a5^U|d_+t$>=wje=1y3UGrn8&m`bsB0Pk#0UHlfbL7$00000NkvXXu0mjfGoZO8

diff --git a/docs/html/img132.png b/docs/html/img132.png
index 4d735b64647acb03b20febd4d06f0ec71090ac78..8569567c4113363b84e9268c7d7b443ad80e7e6d 100644
GIT binary patch
literal 318
zcmeAS@N?(olHy`uVBq!ia0vp^oc(9q!H
zsh7zW9re>qV^?qz@eY+hB`0u*)Ii2RN;bgtT*TXJpl>Vs5_J1B*
zdT}aqACnzxTeY--$lmL}_?D>~6mV@Y+F)eBVNj67yD`v!%YczV@Uh(^HM2AGf&O6d
MboFyt=akR{0Bdw}0{{R3

literal 496
zcmeAS@N?(olHy`uVBq!ia0vp^OMzI914uAr_%?0;QcNX5e!&bkJLfF-U|?We>FMGa
z64Cm0TI|Hb3IYw`4m?*JcoZ0zB_fz54lo#h-@|0kz{sQUmgA@YgH3Zyj^8;`tMARp
z9e>h^`=dU?TGj}MY(}wySDeqj>#p)KDtMu$d*tlQc=ONUVv-iNhc>5Pc<*!f{z<*l
z4sQ>3xtF~6=_%iI+9;rU!d|JEe+kZ%daQ)p8E9f>ny{;=0YhkO*LFHK8Z{>a0*
z{g&BQ>s?8nH_CVXPnue6H8s`6H)Fa0>)ZRE`ESPE*s?JwD%kQ-_nC{EI*tcDzr&Fy
z{pe-cn)LRV)Ay!tuVyw-kw02k7w|B%o7-cb#Q(eph5i1p5WEo8z`8{&fe{*@XxtCy
bkN;p}n((8v#nkdYC@MW&{an^LB{Ts592M62

diff --git a/docs/html/img133.png b/docs/html/img133.png
index f98b00f15c78cd4a3c23f16449ac13bd1740ddda..9cf86be44703a0d124abfcefd505d220db7737a8 100644
GIT binary patch
delta 135
zcmV;20C@k;0p9_T7YYvq0{{R38>oUIks(ZST}ebiR0x@4U?2o685mf50zfQfAf5&n
z-vVc~gNX7E4D*YZ0vUWSFK{X{CxBS|AJ_`G9YC^N0doX63P3C)&SwleuoxE^gIJsl3=^>Me_}~Q
zK~y-6V_+CDAiNZXYYD^=NAYVB2b0VWEE6F7kPjeI8HhO(zyhrP*fqYs3#Qlt_!J--
zUExyP4q%Ng0XXdZ3nu363
z=?q&K5OzLjXRrkkK-Kf!0Re_ihWB5=T&@7lgADCpL;gc-UCQtuM0jB6jA38}hY&Pu
zjX3!d7?y(L2@(JNCJK0l#~(BZf&f5R*9ne}fGA4+0N>JVoXNhDP=V9g3)-|Hq)$

diff --git a/docs/html/img135.png b/docs/html/img135.png
index 9639222bc0b9adaf0bf67ce7b62d20f8cef54259..3a1efe1241f70fcdc268f6c210eeae44c4c37822 100644
GIT binary patch
delta 454
zcmV;%0XhDk1%(75iBL{Q4GJ0x0000DNk~Le0001)0000U1Oos70L{mt>5(Bze*uF@
zL_t(YiDO_GL4dV9fEvay7Jw-e22cFz5{NO3Z|?;#oyzbCDk67o_0b^4z|F
z-@Vuo!!%~7Y4g8=g#H7;KL!TVf4|%pI29Q*K^Wq4&i?@jY36uEzJ#ZL8A@=u?ZroA
zXFq6XVBjraxDUeMQ00R-5DNG>3Yaed)%*q8@(u_dpqpm05hWCsGBC^$U|0;o|G_@+
zMmCLsD*zapOBp;cOk+L35Cc*Pb{xlDAh-uqlfc06jDc?<2w&!eI}Rqze=v=KD-@_^
zIfhReZZcSa>GxleV!;8VgSP;L4{}3%_a8YH7#?wRUtqt0Y1&-TRtO&{QaOMLn}6SD
zFun&31LR0;XNa}qXf8qWJ>RGG;LO1I4ki*0mtzGHk`T-Z7yJO14`5&v;0mQmj)a0~
wR5Xi$udRTZ#*KneFbZ&k95Yk|2dHZr0K^CU5rFPX+5i9m07*qoM6N<$f>r#vGynhq

delta 609
zcmV-n0-pVa1fK;ViBL{Q4GJ0x0000DNk~Le000220000W1Oos70DWzaNRc5+e*zsz
zL_t(YiS1O+YZE~f{+6&N(>1#TQc;Rk$v?1!)F1UykRAk)9C}a?l8Y2iE_f*7$%Evi
zE-e(av<0DOTiS~UArZVvz>^2Vq9}Sv*Fs!MOXGX9n{?A8hmwm(K6o>4zM1*v&3m&8
z4DpX*q6cS$oj#X8p4Qd2m-MK)fBhjgr#aAl<>heWc(R$cSKvkzm9JX!T@^S`<9qlT
zts3j2(~rk4H^!6_yr3A1WY4I>$~Y;*vv+%M?#Ba4D&;6Wzb%_)Ig?~PW@e@j*BiGU
z21{2$KhER)HG9s7`Fh+F!COHZBACpJAeZ>_LbhZro18=>yV_v3Nubcg^TOg6XCv3(6qEV6Ti&%T!<^d1)=KGr#(qJk0|E$@`o%eX6BVWqwhYUYLbG*Zi9o@%Wp=5A6EojLlZt
zz`hG}=Z%B3`f9a$Yg3`UT?ZsYH;+4%AZR?LQ9Zn|{BQURFx#kh62uH900000NkvXXu0mjfJOLls

diff --git a/docs/html/img136.png b/docs/html/img136.png
index 15edd122ef1d55fdb95fca06f2d444025c8f3776..4d735b64647acb03b20febd4d06f0ec71090ac78 100644
GIT binary patch
literal 496
zcmeAS@N?(olHy`uVBq!ia0vp^OMzI914uAr_%?0;QcNX5e!&bkJLfF-U|?We>FMGa
z64Cm0TI|Hb3IYw`4m?*JcoZ0zB_fz54lo#h-@|0kz{sQUmgA@YgH3Zyj^8;`tMARp
z9e>h^`=dU?TGj}MY(}wySDeqj>#p)KDtMu$d*tlQc=ONUVv-iNhc>5Pc<*!f{z<*l
z4sQ>3xtF~6=_%iI+9;rU!d|JEe+kZ%daQ)p8E9f>ny{;=0YhkO*LFHK8Z{>a0*
z{g&BQ>s?8nH_CVXPnue6H8s`6H)Fa0>)ZRE`ESPE*s?JwD%kQ-_nC{EI*tcDzr&Fy
z{pe-cn)LRV)Ay!tuVyw-kw02k7w|B%o7-cb#Q(eph5i1p5WEo8z`8{&fe{*@XxtCy
bkN;p}n((8v#nkdYC@MW&{an^LB{Ts592M62

literal 244
zcmeAS@N?(olHy`uVBq!ia0vp^Qb5el!VDxi>JME7QU(D&A+84w9N4^hvznS(Lqmg)
zkI%AY%OoWwi;Iix?d@mIoXNw(la`hSRBLQ(+}qn585!BxUTgy7GnNGT1v5B2y8)6c
z@^oo@c99vm^K505syiJ(&pSfdB{2q}G*%|x4avK;FXc?(D
z7%=lsID8=Nz*~kxJpB$_&p8T28VnBC3%r+P4p-qYj(NuN>6wvDGJ9fM^Bo7d?!t+N
m9L9HUa|BsURAlIB
zv$G~9CV+r|OiWCsrluJg8FO=UKR-X2nVAd>3}$9#0000pGc%2ijagY)iHCDE00001
zbW%=J06^y0W&i*Ia!Eu%R5*?8Qol>XKotIBn>J@{a+?T(4Q}EPC|Gc5z<(faIyIY4
zlIkJ|>gIat+LEb*TR}IWQo+Hk9UO(=P|!-7QlyjBOH%to0?wij-s5}kKHm54-T}Ya
zB1TBDJa*28@R0k)-8gR+$c?fo?F)%655)9w%#Y1SKygB(6t90m_wiFudIyB#5bBf{
zB+JJiLn`V%61tc1Bj81C!9HL`F5g=@5bTG`Fi`H81ELIsiohuhuksv>E7U?(AnFsTHQ1pO
qLPcdfAp=S-gvcBG@CpCz58EdX)MW=VKWc&i0000`ogH#8Q|y6%O%Cdz`(%k>ERLtq@{qEpM@Dna?~HXI#JQ5zR1(XF@$4ga)JWu
zhHoqi#mgO6uyAZ;_4%afQ1Lcl(tqZTIq`c$I%H?;|H^G(P@rX`-eADYKjH9!umf)y
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diff --git a/docs/html/img139.png b/docs/html/img139.png
index 1d74314f58d69abf3dc3cfb4dd6f2144ac033f9b..e69de29bb2d1d6434b8b29ae775ad8c2e48c5391 100644
GIT binary patch
literal 0
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diff --git a/docs/html/img140.png b/docs/html/img140.png
index c1ed1d0f0e6078f6043a07c05e77ab3ce536e3d5..f98b00f15c78cd4a3c23f16449ac13bd1740ddda 100644
GIT binary patch
delta 140
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delta 920
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delta 645
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delta 870
zcmV-s1DX8P2crieiBL{Q4GJ0x0000DNk~Le0004t0000G1Oos702LTcjFBNse<4Xk
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zCsA6M^Tmryv@djap%KSG#AYdLAeF07p
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diff --git a/docs/html/img151.png b/docs/html/img151.png
index aef24ec9eff613bcfd484d48e4fec80e6c6175ff..7e4038a875d48da6c953bb0fedcd1faeb1698154 100644
GIT binary patch
delta 645
zcmV;00($-F2g3y+iBL{Q4GJ0x0000DNk~Le0002i0000G1Oos70GNE7w2>i8e*!^C
zL_t(IjjffzYZE~f#=lKX)=iq-#e)Yy5DFd?p%C!WO1QtMDG)mKwe=4!Ned3L?g#7==hIDx{uGjR$6c>ljg5|KudKe{$
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zc<@lNsE1yvg&tZe
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YPdTShBxln}3;+NC07*qoM6N<$f-e8QrvLx|

diff --git a/docs/html/img154.png b/docs/html/img154.png
index 8388c21d2bc754730388fcf9809f0ce6e7747de6..4092180aefa4c4534a45820493b99f42cacd96ff 100644
GIT binary patch
delta 977
zcmV;?11|i?0*nYDiBL{Q4GJ0x0000DNk~Le0005b0000G1Oos70BwtcXptdHe*=n1
zL_t(YiM3ZjNEA^R{%5Cc9nG1gizG%t&?OSVQz+S`f-ddFpi6e?;6YqU=u#ncC@f?T
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Eg1ea){r~^~

delta 339
zcmV-Z0j&P436ldMiBL{Q4GJ0x0000DNk~Le0000u0000W1Oos70JSZq+mRtle*qCm
zL_t(2k?oPMPs30UfWNXnx-!zvpbf195SV}j$NqpV!67hJ2n5t1
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delta 732
zcmV<20wewD2bl&TiBL{Q4GJ0x0000DNk~Le0002Z0000i1Oos705pmreUTwce*%|D
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zlsyP~(OW?;HuMi@^(ch0P!L6^YpHFuW?h7WKU-(so7wEIBpX}sYc{j<=6m0~ZzkDH
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zK8uJn5b;rnWl@}>p8`{t{3mv`LAG#&2-rf|-YEUh$X<|l;ge!KnzF*j+4izyu-}@}
zK9=RplSK4pDJ<1KOm+;K9QqFd{r~*8mref{2sUBv)!%`)8Jkuf
zQot#uF>^!);@I?R
zkZ*m=k-X(=obaxopxTGN{S
f44Za~(Z8TC4@n1Gk#W~LW)8&ZU{}kOtEV#(s(scBQ@p7)P`m}`zO5Vxt>(|)LYi{aG{cm|
z8Sob1&*elkW(rG?ru&nS^T$zZN=|og-8!sbb-Dlh#g}4TDI}karh3M4+TfWV%(xrl3We0HR#UL=-tK-60?MAR9dt7d)oKq*L10f&V
zK&ePNc|E~Mh$&Xk;wu7bYX*T_Ys#@xtI7^N!FrEk3|q89ppR#BbREPTf+NQL5t|BS
zVxV=6+O(xwRNymjlZ@Gge{qVrGNd_V-8)6K0hM!(*1d0xCC#WO7#CuS6|^Xz578uo
z3hU)Cg}9n1LLR{iHfe=Gn&^!lbOPt2DrLftLd6)&9Q&OIqoB`1L-?^tNu{Y;tlD~1q5te|D4`Z&5xiNEnRMIb}CbPp>@v=15J$;{7O)s(Ex(`rA>
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zGiV^}pfD$r4K_&Zry7dUG{n>F7_tGaIK@+9_@QP!Y@Z2)yIRy&g;*0#D{bq$b|d1Q
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YPdTShBxln}3;+NC07*qoM6N<$f+OF)qyPW_

delta 528
zcmV+r0`L9t2hRi{iBL{Q4GJ0x0000DNk~Le0001i0000i1Oos70I&?kQ;{J{e*w)&
zL_t(YiDO_G1q6TtKa9n~@PRB7F2GIT9qA@;`)zNa%mmZF+!rV_;Xyl)mZK;fmICQ_
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zKiB|}rl)@yN*Eg18yMIM<_7>1FCQr42m-!-0Wb~K^p_$3sQ|;AcMrgcmn#5SDbE>9
z02F5ShL`}=g$Pf8
zi~t7&Sknde3$rHh3NWzmGY2Q$b~L4kk{X!_jSR4+<`Mz^cbkDik__O)8-Qj4qKrdk
zf{ge8(Zm%B)Dnruxj0RLfoXU&6J-Kl8=>eY=mvrSQBqT20;r^BHw7~ptI
zbt6jvh$+peM~(@=bjx{xX72-t`H0~MIVJ$pE&B()3y|XOKRG4<6FWcD1W_FrQ=tpd~fy1?CN44;iqNV*&_#4iNw`qt2Wr*96uFWTz-ZNsY`LqyPX8O0xf&
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zpNtC1(~K%UFfR>mlxnCyWBFdLfyGi-V%ldZp9ekpy;l
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zy}gl%ba4!kn3|lhfG;8DUbZkpTA|^bKdjd%6cqiJ+jFKFQR&QDJNtMx
eNV5s(Fle_)>H5z!oXP_f195SV}j$NqpV!67hJ2n5t1
zFk}eC6a|B01riJ)<9cs`AG0I~F8!|Q`_jwZJ@^|@ii(`rkDc2@c*1*sqjmt>n2m_K
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zUR0h4r-GNlCiE$(JXg6Z>FxZUS(h~R7E!Z0zXnva0f6jA7F0qXZQeB)D8?ERLtqz!>sj)fUWmV3NDGf~mIo}tCl#W6%N{m+}3s1b;gq>Y2x5
z-+8|0{X5?|-#O#G{Hy48u;)U5{54ec(P
z*8QwI>-eVs(E4{fcFb4wCyDaO@Ey07IsNxK9_i)3+WvHk^!}#;9e11_f3QfK8aGK_
zvddD=&+iv^+72tW#w=P~T=ZHx73<*xit{FLDt&YN8H(>4plw}(&^`?YwS4-Ts&8^M
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zg;~1w49zfSXK6-$cE;baf4-5{QKBtw@@PPH+#)pP+b(BDoo6pyL7^&FEXq6pz+t0G;7t__~{AfA(Uqo9GpB@T`Cg
z?sx;8rCW4T93UelO=d&}oon!MQJu6R#fLaVqE(zD)S%$#kQ~MP)MEtvJN
z@^k`XLV`0s?ZIHqunY>GOu>iwJ8jmQ&F+(Z*ZD;!Rfd;qh;-mnW1gMeSAd_2I)f+
zw>*vTLKShB&X+X+AE8(QR5G;15(0zis76AYK}NEf5uM`ezLu#lY7ayc12v(pI>~E<_r%Hj&~)0ApHPuD5HXKz!JMg_PneC_+A~xg$_%EX8VMmH=K=QaN{fbvhh=nlb05f0f1@WdvPuEZJe%J3`bXjs!pTS7Ytd>>-X_&mYC`8=F(_L86llaEmT3=rYCQtQWc>$Z
zgH%VUVe>pad({6%^6(4%RAco7EP)Rq+iIV+f7>{xjZ=+q&fM{WhLd{A>crevg_QRPBADY9w{#wRrZ5A9Y5?`
ze?>)GLb1eGKja}tkik;$ER-4j_@oW9AOn4fe|{=h&}Uez0nu))AT_0rsn@s0V#p9r
zL%@L`rHu6=fRK2kyp#yFb+uedMVxPUTS5_Ew2+4!LB?qV%8ci-V?hQ*`wMrzz*(Px
zSOcP`W9E<9H+9?kebM>679B$#as(Nt4Jb37
zjv>g@=$Q2xh&3PvI*$CZIq1j`PeZ`bT@?v>5kOU6=#KS4t&Qx
zWy?E;JOn{To=VjQlo{1A<1EN{I`&er&d_IAtO1d{N)10x7uX%!jtsFg1RMxbYLfLL
zfLx!Fm%{B_Yk&P?$s}%M{eWdlIJ>(b4@p4=@(W8pVpb|M<0o+D8D~L;H65uD`KZj2
z`V5OTOk{JE8o{4ld6Q`Fa<3ypf9wna2ZEHH=+qT}QsR;FQZm#Fa(sgH^X`#5;gN?X
zytAEtJnGNtqmr%9xO$IIsYxM6&g%$B2|ZGf@+NYVK@3_{x4W=b?X9l@9#*NT=;-Vh
zRicJ_%WS}^$uAY~&`M23M_Z7p5;f$P#Q)gpeJ%bCyBv0fEjTUR000002uVdwM6N<$
Ef|x70{r~^~

diff --git a/docs/html/img163.png b/docs/html/img163.png
index 6a11e6613921afda2a6559cbb13b87e804b9b431..bbd4a64a0ee5b9cbbb1d7bb43651f1e37c756725 100644
GIT binary patch
delta 732
zcmV<20wevj1DOUPiBL{Q4GJ0x0000DNk~Le0002Z0000i1Oos705pmreUTwce*%|D
zL_t(oh3%G4Xwy&}$A586(-_tS4}vI851vGve?|vWs0>jL)*R+Rm~=-^T5z{rB7)we
zB8Z64Q}Nm%GEZCaEG~lH{F8$PLCqqghY8($f0HgvTaq?G#=f+?^9AYakZy=szm&B7790YhMzSP7sC%2%
z$N&**Q!<~IM>UX^b0kafcbg{o?nbBk9B;4V+w8CoT&(dLnQ+AV{=BBzuh7{6AXy^%
zFp|YqrBJ2o(|c$87AfkGe{RuY(JhiAWWDz~y389rZoSBzmG@maI_JPOT2w8+&C?zT
zq7Cl+q$?-uxSZRxC>TDM>;wOB_;rLkJFERUVx1K~^t*h&WRp2d`bn1~EIm4}2XUn1
zleD-VmV-SAXAC~N90k6m%YxO(Nf~O16j#D>RL)tqPq-Wzk3*Jmf3o(^g598;w3Tv5
zaV;uGUbe4#<0I5bX9s5%_SB+rMi>Wu{(2nA6k$d0d~UyCR*&}F_&j(GaL(mSrW|!-
zUjXMOY(<<0Y+ip~1?lr9=e)@k7U5aId{d_!TKp86bESR7Fpj9n0Mn&_b^4gCQ!_MY
zCV)dUJsyxd&@FfRGD@+!a3CN@d9euL)ok0{;3MzMx7lGGnfCX>j@Lgg;6koA7v13i
O0000{;E

delta 372
zcmV-)0gL{b2DAeqiBL{Q4GJ0x0000DNk~Le0000!0000W1Oos70Jt;OoRJ|*e*rQ{
zL_t(2kz-&OJm4vV0FdMhU}Ru01@XC|;`R6c|7c)f{bKy}0s}+5vwbWB`vV5X0tVI(
z5P9wd2F3=4q5uZA1_pLj28IlVcm}?`K(+rM@*EBf3>(-J85sCCFq8qU_|5PW$Og(w
zK;*d!SQ#e77y!j4upS2Te=;aQf8==u!18kf_!$`7fDBd!mINRbz1Kb25iBL{Q4GJ0x0000DNk~Le0001a0000i1Oos70JE10K9M0zf7(ez
zK~zYI?UcPs12GuJpW2?+tM+m@D5Cf=IJx*SROq50C^&eFgHS&uK`G86{Re~t>7FQ2!>Y3EYnMx0jNL7+!?f9D<@ND0%CTqHtY0xj>tbO;z85T+AJ=4RV*iPDHW|*ngxdv-9lF)j0jaGR|bJ-9k6L2I@%W%4$-1;*L1FS`u>N*z{_U
zZ+*;>yya`0@UEbs+K0aV6m;)yY9w_*2c2M!gkD4^2;|k`2PUzB!-Qv!E}yTkO-f_7
z-1Cf7OOnxRWoUJ;+VxUea*B(U2Ah@##~Pqr1_?5{<4S~Xwp?jSJ7R5?03AS6j1}fS
zVhGT$2AN93^RRS~|b4wHTJ5>m`{C
en|6!Qzo0JSpy

delta 379
zcmV->0fheC1iS+wiBL{Q4GJ0x0000DNk~Le0001E0000H1Oos706YH=Y>^>Me>zD-
zK~yM_V_={YV4i?qp0R*|A-oiUfq=pOqz%W!)0iP}W7Z}(A_!M9m
zD)@nbmN^Uz2Voc}!d}n(tzTfvbNkB84Gf&$O&A!r_t^%ZYI(!Ja1MrnBJbuh@CY!+
zEAk~X++&y|V8+1BaGwq6;{PD~jmNNWjVBiYi|G=5Rd61zU7^(*dXkk{EaG8@~8ZfN+Kg>&DSUQ1${Q@gcy!S2;
zKphstzq6WUqXQe%LjfmTX-ihH^4ARWH-aTQH?3J#E=
Z1pr=%!lVCcZn*#e002ovPDHLkV1l(!nA!jU

diff --git a/docs/html/img165.png b/docs/html/img165.png
index 93e93d68029081eece3cfb6235660083dd42f3ba..cc511c986e317e2f1de0b6e475399eee89edc128 100644
GIT binary patch
delta 527
zcmV+q0`UEb1J48@iBL{Q4GJ0x0000DNk~Le0001i0000i1Oos70I&?kQ;{J|f6Ylm
zK~zYIV_+Bs1b_oSjK#w6fh-d)z)j#C=_YXdZEv8=1k=CV7br8~K|7F^qbMAf0_k^@
zn829;W>FH74h#(3Unwzxqkw_IP?ZuBSb-F01End7#hhXjj8RQs+(5Jm4e(UWfn);f
z{|V>{=T}bvCEhKsD~K_c)g=I`e~I6{*pWfr+JJ#mk>LX{@m`L*27&-lQd3|8sHA2$1v43|(L<_%yE8L*RM0tkE#5dblx&YULK1l9*+rzk{8jm#XR000h3vj3WI
Rl`;ST002ovPDHLkV1m#>&awai

delta 328
zcmV-O0k{6o1c?J7iBL{Q4GJ0x0000DNk~Le0000?0000T1Oos70P<^>N|7NCU7PI
z!{tBcGX}0m2KEcASbW+p%pQL*~r64A0mtSU&J0hZ|Jc?+v`Kfp!5Mcy9xX
zagp&3bH9zq;qqSVJBZ?BV3@!Fv_=5Ln#d5qD!_>~7_kH9|3L78pfc8X9zZaG1an8h
a&;kIh7ED>C78=U{00005Gr-TCmrII^fq{Y7)59eQNDBe691Am$ysQ)~52SP_sw&l|rKJIx#>U3I
zy}gl%ba4!kn3|lhfG;8DUbZkpTA|^bKdjd%6cqiJ+jFKFQR&QDJNtMx
eNV5s(Fle_)>H5z!oXP_Tz9y^)cTo$bXYKt5whkY6x^!?PP8$+Mm=jv*3LlM@sq4g3%2ol7||p&_=-pK-Uv
ze|DXwH($@(|HZm(&$@&MfAS6;__cRNVx8%UW97w?6)ZCz>%U2zp_0IMq~20g(&3l<
zpY)0&2aX3GI56SdhSrDmR?ZsH2mdfkaP*e^XKYZwYEU4TlEI$TX8B&OVeWc^heqm$
zO%|*cl9+amdDjo#BXNCB&CPclge5HWKd6SN8F-vFFvw%DEHXd5x0mOw!?eviHywO`
zob}D`GY6&A3<``48gd?qB%~&=SOp5jub6v~i|>IDJ41O|*k7%gt0fp1fC1#`>gTe~
HDWM4fG&*-W

diff --git a/docs/html/img167.png b/docs/html/img167.png
index d894ba945f738815f88a786d3a2ca327f9bac169..007f4bd15bea6ed1e0c0366901fa29a284ea1e58 100644
GIT binary patch
delta 320
zcmV-G0l)s?0)Yb|iBL{Q4GJ0x0000DNk~Le000160000U1Oos70I`jKb&(-VfB#8D
zK~y-6V_+C!fEB-VSpzCxDgdu?mJg`>JrD3IXG4|dw85`D29?XtgJRp3*A=MpMVlLt
zxur}W7^Ev6Uxo0P<1g%GkOP_W9|-;d86FJZkyJB&;B{cw!22N+tcZb+qkw_o9kOwG
z4E_uZ^WFgg*e!OCE-*|0`3Itie+w;~SPw90BPpN#?#TrP1{t{YGzJFluRxmPE)d)U
zT6cl0ugWneH=MK=8cKT=R|2QV-nU~ced_yASZ4h&k9p!mEW
z!RGV%z)*Ysb#uvU0jMIN(^<@sm2(O(po2h$2}p`qj4>2o0-_X+f>A&j761T_9!i8|
S7DY+`0000R~$qDojyMWk(%bXC|ib5a}!@vr5
zTDvf}0|UdX3A_Raxe-<~@J?WE0MWlUZ~*!I?=~~s+X!;_76Y&%&WjP?5a48B1yPY8
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z-+8|0{X5?|-#O#G{Hy48u;)U5{54ec(P
z*8QwI>-eVs(E4{fcFb4wCyDaO@Ey07IsNxK9_i)3+WvHk^!}#;9e11_f3QfK8aGK_
zvddD=&+iv^+72tW#w=P~T=ZHx73<*xit{FLDt&YN8H(>4plw}(&^`?YwS4-Ts&8^M
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zg;~1w49zfSXK6-$cE;baf4-5{QKBtw@@PPH+#)pP+b(BDoo6pyL7^&FEXq6pz+t0G;7t__~{AfA(Uqo9GpB@T`Cg
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z@^k`XLV`0s?ZIHqunY>GOu>iwJ8jmQ&F+(Z*ZD;!Rfd;qh;-mnW1gMeSAd_2I)f+
zw>*vTLKShB&X+X+AE8(QR5G;15(0zis76AYK}NEf5uM`ezLu#lY7ayc12v(pI>~E<_r%Hj&~)0ApHPuD5HXKz!JMg_PneC_+A~xg$_%EX8VMmH=K=QaN{fbvhh=nlb05f0f1@WdvPuEZJe%J3`bXjs!pTS7Ytd>>-X_&mYC`8=F(_L86llaEmT3=rYCQtQWc>$Z
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zjv>g@=$Q2xh&3PvI*$CZIq1j`PeZ`bT@?v>5kOU6=#KS4t&Qx
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zRicJ_%WS}^$uAY~&`M23M_Z7p5;f$P#Q)gpeJ%bCyBv0fEjTUR000002uVdwM6N<$
Ef_G%P8vpNf*>
zA_D{e1|XO9Fp&7k5Mu!3PXIDm5`aVigBwT+q@3pi*wFJZ%ib7(tpw_N_bvd$e*ol7
z;5)~_@cKB&elCzf3=E5b7B2v)IOGR9;v)mYUj_zVu=NZ--dO|H@n3%Yc>|cw2sVa6
c?j?u>0MfH1tBsxC^#A|>07*qoM6N<$f(;~7Bme*a

diff --git a/docs/html/img27.png b/docs/html/img27.png
index febfe5af7ff526a5e79f2265e020f57be09ecbb6..632b6b74a9752af1ca1a965b592b170bad11874f 100644
GIT binary patch
delta 2456
zcmV;J31{|&1;`U2iBL{Q4GJ0x0000DNk~Le0005>0000<1Oos706E*qrja2_e+foO
zL_t(|ob8)`j1=V=$Dd(uZW))G+4u)uDCjjLnwUr~IVG`F!88r+A1&JwtQy0Q8l$8U
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z&g{+X-r){+le*u)?mO?i&+|Udf4uL!^Uf!?0CBoWzH+fAr>{(*MF)YbQo>dP@zq%$
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zqY|2IvU~Ydt_LPyWYEG$P3mrRi5~^$5H~}cyE(*p{ycy`p;hJ}ma`S;?3L7MN^Jx7Wxjv;iemHf!Le!Z!RvLnXeDY@i_ozs2#%mWd;klX$
z6f@_jgah+wPEL7Cs{e+}KQ~U9I`&J=&_?d;j^ZroV1M>Y7-RSQyw(-2PmWm^AC
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zKEpuFI*i?{cAGn
z^eptYNu=Z=Y^oa
z_qtW|e0DMUx6(5muZ?@UA1`rNbSHXr@Rd9_e{=U8zYXS<%LjAicWSs!FT=^z
zxBr{y23=f^C(STuOx
zDUkN=FKhVk{0=yV0kUJ|XMee$PGYyqOA?9o;mOYis7lFu0mzE0F+Y&hC`W+v)ZhdB
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z#*z@A3aAhRDo=Y&DWJ+08>N2ffGTSicm`Bk^ifIy)fPfb2>~kh#UenJExPI`oq)>u
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z@MQ;7|9Uk!Kt;X+xyyop(g~>MCkUwK*8wW)zThB*fU0wQS0yPxCBBUAhtOY-r4UeM
zN?j|G0#xG5=w^67I7lI&0@zhZ>@TR;7fJqt%DGoLODUjQw-^!wRP2i{9Cc=&f7TZ?
zt$?aazhl?y3jr#FR~S%%UaeCKsK7gv7@%TbECy8Yxf<1U0;=bFb3;i1D)GfyxEh={
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z6A&H(QN)dy{*=pQW=QWH|GR&p-~0XXzt-eAMdXJaEFOTL^vvlm2$~X#1UG`PFT&vBTeCj6CFq*ZO*8c%o
WIV3wtg+!YG0000HOe*yzZ
zL_t(YiS1M|OB_KMee1fnw^?rIz$S?XPi#}Hf{2Z=O_Q8pXF!`2X~GFXg`gf-TsuF&
zXLge6zqk?$HCd
z>nlf<9(fI;2GJw0G3+3`Ey*qef4*^KqRSfe^A^o|7VE&2W2)Yb)M|WzqCaESGmti;
zXdAq`iG3lX>G_IT&wz0m9~!*QFR4`p9+b^`27PfX6lKg`87XD>H~1IlX8pxp74`Sr
zI{SnVz={Biujojn46gn<^qO$vW!(+nEYXS9HGSfr-}FWx^2Jr0A~VH~iw*)N5J<1(>6QdBo{PZL-9{bIii&>M^&McV6~TTw
zLSFJzH7^X|(o1HiUU-eKnl9V!H~m?%-r^ZB?j?JqlTcVg*;aGx5?6cl7K4(e%eEVW
zwZBXEK%1@&XlHL%UqX;Ge^pBb<(EQr_Cb^Bx@7FRy_HwIW7HK6kUYw3@MYr1n5ri@JTHv80=w~>^QX(y9k<2$Y1Z!^{sUop
VuU2ixs^S0u002ovPDHLkV1mb%6I%cP

diff --git a/docs/html/img28.png b/docs/html/img28.png
index f4843d98f8b8a2f9528f4ec8ea0ec8f5ea439e16..febfe5af7ff526a5e79f2265e020f57be09ecbb6 100644
GIT binary patch
delta 583
zcmV-N0=WI~0fhx2iBL{Q4GJ0x0000DNk~Le0001%0000S1Oos70C5CcZ;>HOe*yzZ
zL_t(YiS1M|OB_KMee1fnw^?rIz$S?XPi#}Hf{2Z=O_Q8pXF!`2X~GFXg`gf-TsuF&
zXLge6zqk?$HCd
z>nlf<9(fI;2GJw0G3+3`Ey*qef4*^KqRSfe^A^o|7VE&2W2)Yb)M|WzqCaESGmti;
zXdAq`iG3lX>G_IT&wz0m9~!*QFR4`p9+b^`27PfX6lKg`87XD>H~1IlX8pxp74`Sr
zI{SnVz={Biujojn46gn<^qO$vW!(+nEYXS9HGSfr-}FWx^2Jr0A~VH~iw*)N5J<1(>6QdBo{PZL-9{bIii&>M^&McV6~TTw
zLSFJzH7^X|(o1HiUU-eKnl9V!H~m?%-r^ZB?j?JqlTcVg*;aGx5?6cl7K4(e%eEVW
zwZBXEK%1@&XlHL%UqX;Ge^pBb<(EQr_Cb^Bx@7FRy_HwIW7HK6kUYw3@MYr1n5ri@JTHv80=w~>^QX(y9k<2$Y1Z!^{sUop
VuU2ixs^S0u002ovPDHLkV1oI=6LA0l

delta 175
zcmV;g08syh1@HkOiBL{Q4GJ0x0000DNk~Le0000Q0000E1Oos70K+2@aFHQPe*kVt
zL_t&tnPXs}1>pAE-oP-wdIIC;%|M>%U+xQ>iVPn(1S){M2ki_DYz6ZJ*!~5AlrCjp
znDg!d1GA1Iki(h4!0-l07c%C7OmSdfkYQllxsu@`kjGKLz`(xGoZ;VV10atTq*oG1
dPhemG0BhbEDFkA#=>Px#07*qo1w^hwV1k+DLHGaw

diff --git a/docs/html/img29.png b/docs/html/img29.png
index 4b6d5f615c1cbe5e091efbf34e86f3400bca2030..f4843d98f8b8a2f9528f4ec8ea0ec8f5ea439e16 100644
GIT binary patch
literal 240
zcmeAS@N?(olHy`uVBq!ia0vp^Qb5ed!VDx2D+?9?DT4r?5Z40-4s71MSxrr?p`pRY
z$7k8HWs;JT#l^+;_VzPp&g9|YNlQxusx>w??(OZ3jEwATFE#=48B2ovf*Bm1-2h4E
zdAc};aLi0jSit(=+wFS?4E9$sJ$`=HVcyI5cieNjc;qcuv>NuXzvbb{Vg1Z};~#6&
z6us1h8K2)VGH>ovns9jLfde1dJj9KjHTo1LBuq$5xU+N8L!}AF1A&g)cYe;p``OG2
j{h~|4g*^Nd5*Qe=?@4O1B&~l5w3)%v)z4*}Q$iB}W;9o^

literal 498
zcmV~`z0amAeY2&V{hz@y|MoXn~%yFSU4&-_GQFRVJj3&dd-OnLa7~`z0amAeY2&V{hz@y|MoXn~%yFSU4&-_GQFRVJj3&dd-OnLa7>v;v0WlB*F~ILvF%Sb7zyJm?fB+1{00u_d4WEI8WcTiJ
zWUF3R-7U+6o^C!SEa3kFcv?U=z|#V{0iG7n4e+#pZh)r+bOSsspc~+60o?#k3+M)T
zT0l2Imn>>U6lZ}NqWU=CtiM53Fu6atmUs`Orhoh_P-6|xwVuxX%Dh8WFu5kYqx6>u
zDI40?mLIP7PnV13`zQ4lRl!6}ct`3l!A;KC3hZF#-P5`pdAimOs)C7{@LFh%`MU#X
z2{31D1@>STzwfk3RWLCNh=xnG(5YRtR9qUNyqVZ*g`Blwc>`&=W78v3igP0sbJMDY
zUL?weXz(i@Uf4B5DwS63D%H&cU5v%{0qkODoqp?L^_Ekk6~
zg;SS?R*$e|r+(Z{ZkwuL(i{xX{CWkn6n=yu>02+l4SwmAl}^pV_2geF`Q&7$A%!Ck
zgJYn|@Y-o&DdnC})lU7A466wvT>Yj|Cijv%R@C`;<|?|ahJTdHMmbRIbJ
zVb+pSS+Y!M!RLP?5lur}r2LkN#}uW|O2)vJ!Nh9kYv+YiF5Km=mfNN(nAl3wYph>!
zugY8Ur6l#*_&wopQQcuZzQUJubI4<@*#bGkqC#C@cZx&fXR&<$Ta!)-e?T

diff --git a/docs/html/img31.png b/docs/html/img31.png
index dc5293d02a7fd57ebb160e1277a04151b1650f02..c0a7d73da2d3e6987a071649b35f7eff896d293f 100644
GIT binary patch
literal 908
zcmV;719SX|P)>v;v0WlB*F~ILvF%Sb7zyJm?fB+1{00u_d4WEI8WcTiJ
zWUF3R-7U+6o^C!SEa3kFcv?U=z|#V{0iG7n4e+#pZh)r+bOSsspc~+60o?#k3+M)T
zT0l2Imn>>U6lZ}NqWU=CtiM53Fu6atmUs`Orhoh_P-6|xwVuxX%Dh8WFu5kYqx6>u
zDI40?mLIP7PnV13`zQ4lRl!6}ct`3l!A;KC3hZF#-P5`pdAimOs)C7{@LFh%`MU#X
z2{31D1@>STzwfk3RWLCNh=xnG(5YRtR9qUNyqVZ*g`Blwc>`&=W78v3igP0sbJMDY
zUL?weXz(i@Uf4B5DwS63D%H&cU5v%{0qkODoqp?L^_Ekk6~
zg;SS?R*$e|r+(Z{ZkwuL(i{xX{CWkn6n=yu>02+l4SwmAl}^pV_2geF`Q&7$A%!Ck
zgJYn|@Y-o&DdnC})lU7A466wvT>Yj|Cijv%R@C`;<|?|ahJTdHMmbRIbJ
zVb+pSS+Y!M!RLP?5lur}r2LkN#}uW|O2)vJ!Nh9kYv+YiF5Km=mfNN(nAl3wYph>!
zugY8Ur6l#*_&wopQQcuZzQUJubI4<@*#bGkqC#C@cZx&fXR&<$Ta!)-e?T

literal 290
zcmeAS@N?(olHy`uVBq!ia0vp^IzY_F!VDyroqNm=qznRlLR=3VIIwy1W;HdnhK2?o
zAD?B*mPtxV78e)W+uP5aIg^KnCoL@vsMgrnxVN`AGBUEWz1RfEXDkWw3ubV5b^|22
zz|+MsL}F@kf`m)M=iQu#r#=5Rb++^YpJQ)pw=p_A^khmq^RcVuB+qvTAGW-<-#Nk!
zhhFkT|FGbiAu3_y=)>mMX0t((UGkRX4yGUW1!@g5d3x9#4%Kk-c&qy)Cm22WZ@_;f
zC1L*ouAtgR{e=nK%{>ga&&*U<#(J8)ZbDIdacXl}n>){*^#{+$KC6>H*v7rVh{eFb
j$iRoeIFi*uQi36?TJx{KmF;;zw=#IT`njxgN@xNA>jP%Z

diff --git a/docs/html/img32.png b/docs/html/img32.png
index 3f29355a015544ee631785caa9ae5c6a051dd11a..dc5293d02a7fd57ebb160e1277a04151b1650f02 100644
GIT binary patch
delta 225
zcmV<703QF%1)>5WiBL{Q4GJ0x0000DNk~Le0000i0000E1Oos70H)6450N2De*mCK
zL_t&-m1AHSM1b?V3B#7>_LZ9(z)Z&NeYOEW;Yk8!%<+nR$qe^EOa^X-`)m_{!s!fK
z_&5rf6&Nx>Oa@MdJg^xD8QK}R0{B00CV-g?j0Zr%d>iBL{Q4GJ0x0000DNk~Le0001#0000a1Oos70G-$ll93@xe*#NM
zL_t(YiS3n5XcIvc$Nyupo2Ssv~#S9c_bN>3|5}``t^%`bxx@`3+?gQ6JxGL8^MH=(s!S>xT
z7mW{2;Y4tpmIbR%kJ+T!nLd#;eQ)_N_LLWX5UWmy*@{IDTyGF4y|@I6-DWfx`MqFwTRJ2Fv~6Ps`OzhZc*cpI0CB8
zvN4m|q_fo0USi@tuUf3AK5&_bqU++$etS8Q2{l82$Vf6wLE=Aoz#
zWP$O7XEBah!rr4e7nwhbpSw-PLea){{VX(|Tnw;tP9A3D+5w_jRiNQIsTxmq@hJV_
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z!*}q72+1qOF?pd6qM4L#6%5iS;c%KY(UmYYImwK7Oin^ix+-tvf&7~EfXqdnt@sQ~
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zvHGZ~5Q9?8APA3WY#eW0p>Es+e-UyiP^{<Ly8sn!9Fk>+#FjeaC(GIo7fB4ig+GLPY
zEJ4tCpVhENybv&QDNwBF4zU%G97QU&c@FBK1lgQ;LQN6(pFZ6LwPx=pcmz@x!^Fps
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hQSlsC(0K0_{{w!_|12`uE&Kog002ovPDHLkV1oVo7$g7y

delta 368
zcmV-$0gwLC5wHUxiBL{Q4GJ0x0000DNk~Le000170000S1Oos703Mme2azF5e*rE@
zL_t(IjbmUK1tSo!FnoZs9ry_<=S5O}VSto#;8H%n*nvUb+JL>DA)aB&bNkB84Ir84
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z&v2QKqkvg~Arq*m%|kL

diff --git a/docs/html/img34.png b/docs/html/img34.png
index f0d956927086351ddf7054f2011819d493f08245..3f29355a015544ee631785caa9ae5c6a051dd11a 100644
GIT binary patch
delta 654
zcmV;90&)H119ADbZ%I75u=&H#@s&c5B%PxtVvEurvSvZ{EDOvjGM%
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zrMAk2XNuUvQFMU9LK&^be%at(bOl~XLO$-`ZSiw@@)CQ~_+Gz&Jydt`tUUfiY9E-#
zZ2mI#aA;D$lips+HSdCQW#QSh)Z3)Fo%c$!j8JQ10$4`mNnMk07*qoM6N<$g2YrfegFUf

delta 677
zcmV;W0$Tme1>^-GiBL{Q4GJ0x0000DNk~Le0002Z0000S1Oos705I?-(2*fbe_}~Q
zK~zYI?UlQ4(@+$~Ki6?=Cph-R!YdX3fYqv^5-MauVu>=abV?-#)P)9$c!;54%2t^U
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z_A8IW`4uFg%yTkc$U%&907r@AWIOrOKu%8?`kyc6aPFdc&yzgV8kZkzmRYsIb85}|
zP!C?IHiVbUGX?C$bL1tY^NR;hr@<+^9Ccir!y|e5o2`3daXfP!+nuQie>q~&euEW5
zrykSzlCm4O@T
zzV1QAO{#qlhX0#U+-Bb04LD94P6ZQ4TAY$`mTcgeLA^|TFj9pR22usxQ|F=_DntF~
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z&v2QKqkvg~Arq*m%A|<w9%RUz2~zHCu59q{wE=_d^Bo&G3iuQl
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zZ>`9@iCK#Vc^++*Q+7FPsLM|*&1m7Lj2ccG$yKXwANZp?Meyl_M}WO}j&jRP=Y;o|
zU*(itPGa)*r0#CwOk-;U73@H3GFyV@R470ETB6;$bs@h2e2(Yne6OLDGFfb|bIL9U
zkLf_qQnn<6S^_ngP2xH1#0ylu3dvBZX~%QONj8JF0H+K&1A;%N*Mii!cjPPk{%h~v
zL5!05?<^GliIaBxbmTpX80E0{o5JgYAHe<>%27_F5Gs`+IsaMw0VnwUN(m=hSO5S3
M07*qoM6N<$f;oUXlmGw#

delta 404
zcmV;F0c-x`1=Ir}iBL{Q4GJ0x0000DNk~Le000190000S1Oos702*u+I*}nue*scS
zL_t(IjqTFCO2beT2k?K)hq;D)fQ#Y>6mfH?iWC>k6KMJdt}aqRv>-~rp=%yM>Ez&6
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AmjD0&

diff --git a/docs/html/img42.png b/docs/html/img42.png
index 6a1cb856a7a9029bfe698ad41a1583c1d064af2c..b693f7e5e50578e25db557341dc8377f70f16966 100644
GIT binary patch
delta 476
zcmV<20VDpE1DpgQiBL{Q4GJ0x0000DNk~Le0001N0000O1Oos70PXt)DUl&ef0{`|
zK~y-6V_+BsbOkbJPyvzJzLI4bV*^>*_#c3&`Tcw@1te&bfa?Ch(2hd|-~Rwi!G92n
z*MMOu4sHK9mtzVxKqwx&=Ly(#FDmU|`tHz`z1!
z{%7ETg$TD_@pmAxy<}6qi
z5kb5_N$%#7*8&jk4s*YaGC-#@FbIMOpc@#0K8GttBr%XALm*s=Re+O$TmS&SetZis
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delta 421
zcmV;W0b2gp5#<9RiBL{Q4GJ0x0000DNk~Le0001H0000R1Oos70DMj7PLUx?e*t4j
zL_t(IjqQ@ZO2beThkxn+5Stsxg6)&NuZf98;}sE^P=UMBfE&iL~!1hSn=7{FGFVPe~Rh&j#r
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P00000NkvXXu0mjf#go2_

diff --git a/docs/html/img45.png b/docs/html/img45.png
index 8117051133fa01e259dbbee38856fe85a3a2509d..3803414367ba867d7b4f8c79d6e287023f9da694 100644
GIT binary patch
delta 510
zcmVX9K#f4oUV
zK~y-6?Nd!l0#Ot_<84s7Vd{yL>M~YCi<}Mou~M;aa{`!a!1d(=X&3r`+yNf_%HCA6v_i+N|#j^noLVL
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zlvs{B+oTGAg9>R5(@NfiT?9gzk{N2J@r{^H|4)h7TWK&lek){yQ~{g5f5cpWLYW87
zfs=*}|6GzY#!N3irqJ`VL--%@26YQ~B{Hk*U=>(UMgMBGZ+-_bS#{x`u{!++siv0V
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z_jmoN6%Ir1536UQl=uCC?sb0)x~#g;Wcp9>10WTUfM(=_-v9sr07*qoM6N<$g1iOo
AumAu6

delta 487
zcmV0yPJBy+&cucr-zBe@3Xs56t00
z1mz2mBCu^dltJ{P7VOj=s#}2^^bWIlr`m%c2tz2ye%Xmy7h!Ex&cUIkaL;1CU!gg2
z5M2~56}EFTw#BDFzd%v66CHzk2(z|TfFZt<)W}3X&TIqaG?`b~YwZd5%
dR9a`M`UJ~Ng?zEV5IFz<002ovPDHLkV1lKu*D3%2

diff --git a/docs/html/img46.png b/docs/html/img46.png
index a2b5d2b9ef74fb1f5c60f81268bcbb2b65db10f3..6a1cb856a7a9029bfe698ad41a1583c1d064af2c 100644
GIT binary patch
delta 340
zcmV-a0jvI#1eF6JiBL{Q4GJ0x0000DNk~Le0001D0000S1Oos70BECkjFBNse-lYW
zK~y-6V_+BsqW~Q^@PnxUI12+X7NGJkfYmWBg|RRI-`)$@ba0=;se^$ZtB%Qpbu^&r
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m>~3F4)Ik(z;KyXq8UO%$%x%&E@Cw)f0000s$nf00Q<
zK~y-6?b0zz!$1@V@PFE-ZLH13wFdCSY6x$
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Q4z!HH)78&qol`;+02yFS5C8xG

diff --git a/docs/html/img48.png b/docs/html/img48.png
index 4694a8cc13ff70345a6625de205dd12e8c2b4006..c4c081885da98090dfa189c98680841102a0b915 100644
GIT binary patch
delta 421
zcmV;W0b2g?0p$ZBiBL{Q4GJ0x0000DNk~Le0001H0000R1Oos70DMj7PLUx?e*t4j
zL_t(IjqQ@ZO2beThkxn+5Stsxg6)&NuZf98;}sE^P=UMBfE&iL~!1hSn=7{FGFVPe~Rh&j#r
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P00000NkvXXu0mjf)NsC)

delta 176
zcmaFL{E<H#cCaPw3uz&=-+t1q4A+{$KmqE|IC{in41+l4p*!{
z!?3PrYOq&Bu)>5yr4C`^hxW|J+r--P1l;X@F`vllFgn(*P$ai$G0Tcarkf5(vRE`6
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z5M2~56}EFTw#BDFzd%v66CHzk2(z|TfFZt<)W}3X&TIqaG?`b~YwZd5%
dR9a`M`UJ~Ng?zEV5IFz<002ovPDHLkV1hpO*7N`X

delta 328
zcmV-O0k{6A1c?J7iBL{Q4GJ0x0000DNk~Le0000_0000F1Oos709Qhf*^wbke+NlK
zK~yM_V_+D>p#B~MyT=AFGXbwcZeIq5uV5CR0)B;W0vI3$@_)dukj(+2kojA`z?Rn)
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zif=CofktN<2_s6^J<>o_Wyq}CT?0}H%L#il3G$|ZB%VqQsRvERS=9yWf0;>QaI}Vk
zS4stt8gOJ)T!}HX%7DR;q{$P`Rl4hB4a6Q(kW*Ktc|Ulyl8KnReE}FaxI~!HSBhOzAjzlTO@}esR9V76@
z5_EW^V3*F&ieASrgPk_-D!dpPU+(e$wuRxm7!n@)f;O5sD>r86TAZ0000<
KMNUMnLSTY9o6dFs

delta 1678
zcmV;9266e51jG#?iBL{Q4GJ0x0000DNk~Le0001>0002*1Oos70Eh3wr;#B`e+EKH
zL_t(|ob8%VY}-^E$A6(sQrF9$3*yg!Z5Jej1l?&|7!jJ_fEeLSrB)gocA*g(>m;Cw
z#H8J5I4}^}T5&)Vw@ge735gC(9JtV;smIZ>ja6tO^AOVt>tyUaC;q+n?7aM*O-0N5
z9+Kwy`P;;?^YQm<0~i_o%Nk1Ae=mP8WkdLV6AY~?)x@6tbH!bbGqh%&qZ*EshnJv|
zcU`xJ4YTZNClty=!#T(~P?O%_P4;vaa(&ls$U|c=z8VYwH!5b}T2H&^`@r@5O_>pS1^`cmUvKJk}~We}_Xu8(_Kk
z+foS`uDWok_ihiheXVw1-&X^7FTfNwZ07vM?e@8LyV^0lTP!(+F*M^1_%6=yR2jUl
zHv1#@wjTlB@FmDqcc5?Dnk??_y*SN((Z8|ZKXRiS8h*3?
zF2JK}htNt{>tVD3gah*-$cV?mtI&kduywz`(ubd+3FA!{bksTYtX2Q7AMjoSyIyl5
zR~SgP|B$)8fX6bw==%kFjQaCnv=ua_oW6D
ztun)N-F5G9hFW+&?$M=%@Qe*rcy2@uo&hKuJqeJj@OZXiCD#lMF`m_29`Ve^$9Ozj@TUJ1iDxC3N4@RvJP3HsTo4RY7|&`hKklyI^1g5m&tLC5corFAJX5*M
zlr39;3^AT{x!iU3A2>WG;&LDk&na*@kiqjdk;%(Q1TKqtxxV7M(lJ5dvY3}W#N_w%
zmTGWW%*#Gvp6o5v;If#PeZ*WA4M|+)^RkZ^xSWW~d|vhue*>>4;xeC?{WG2H#Y9{d
z^0IfPGrT(ymw6!jXF8uY6LFaXvcDS^4=3X?2juJ@Q|@fpaM^I#sE_h9(`z;Lw86Ct
zPC)X#7HKbho^qPECL;zvBAQ?>+ZB2F$5)A40dsi-eD2e`R~)FWC_C{6{8pxr^k$aISuw_aJk*i{!wt1%)c-LFO_;a_P9byGUjq*~3Y$%6U+^+(R-mv}>@ydl0!CM&-cp%bP9UgUsbF
zk^{p`Rq)W~a_67VNgfHg+>$)f;BtCwH~PSC
z?k=Wt83UQ+Nw_S;TgGX_Wy58oP1O8s@j$9z_746Nf9hET6~?%n7l_z9V=nL5zcwjNp!Uv~
z%U9ahD&Z2%-WhY*#ZC4=y>mkz!d$+Do9vk0nZo6XMQg)R_0Aex?%zApxvc7)$y`?S
z&U7v-dS^P96}>Z=%c|a)&SgdKoPf*Gy>n77OTBX{Ff~NpezMk`YcHni=9Sj~!oR>-N}jfmyr9jtk71J$8JNt=VJ82WH*892=Mu=VcMk>EvaE
z=QNRO@VqUwRpV^}MaJ8%2IVr&%Pig|WGu4rZCb%eO|l{z-=-Cu)DVj7hCGDwGK;s0
zBAa}hma536=Ve8aP0!1!BAcF<`xn_7dAWa)P0!1UBAcF<6-Bn;av~Wn8yOiH8U4TX
Y4|+xZLoI)W&Hw-a07*qoM6N<$f=bOzEC2ui

diff --git a/docs/html/img51.png b/docs/html/img51.png
index 7553b4a8d1eba7301913dc3b148b70b15308d5c7..a5da47f0af7d8c5dbae05d5770e129208795be08 100644
GIT binary patch
literal 221
zcmeAS@N?(olHy`uVBq!ia0vp^l0YoS!VDy}53P6sq_hHjLR=3VIIwy1=7xp_A0MA(
z%a%z>N){Iv+uPgEoH;WsEe)v3*x0zYw>L5}GRl1MTp*vZB*-tA!Qt5rkYu8#i(`ny
z)Z~N(%oBX0ow(ZNr)nF4ttUX6E%w%!gG4X0JRj?IF`-2Igj^j^mM2
zYJwORUYNMBvC+A~b%CJXA-l%A3xsa2VM*a*?^@b(q^hMYK~yNB;S@8&vsLm|>uy}W
Q4z!HH)78&qol`;+02yFS5C8xG

delta 189
zcmcc1c!JTWGr-TCmrII^fq{Y7)59eQNDBZl9}6>(yu#SH6G#~Z_=LC~IB;O|=FMtq
zY7_NE>v?#1($dm^QpU!{y}iAWk&&J4#U?;LV@Z%-FoVOh8z4zHPZ!4!j+w~`2iVL0
zeE<93oZ&=9%7@eh#!GYfB|b^sXyi#_yH=dQ#?1ViaYfcN?f|yi>>A3?7^eg>8($Q6
i+W0U2i>wDDgIy}$q#A>XvwobuGr-TCmrII^fq{Y7)59eQNQ(op91Am$H07QVJyFr8KHt;DF+^f&a>4?|
zg!Sn&_@D2Yefop^xyldo9~wEuY8`g8m~GtX-*~^F@u6|Y;qu1+%$pgQn-x0_SFAt7
zu&!rnuvbH{!h}Sn4q@Ym_RPoI#M<%%-0glbpUCPkI@YdGB)4fX%Zf*)n+`~_STr1B
bWLV&+{`BsSh}}RZFnGH9vAV2tN@xNAU|2wE

delta 145
zcmey!c!g21Gr-TCmrII^fq{Y7)59eQNDBfn9}6>(v_AZ*eWIdIdXT4!V+hC0p#B~MyT=AFGXbwcZeIq5uV5CR0)B;W0vI3$@_)dukj(+2kojA`z?Rn)
z4D*W}7`8mOFJO?jHb7Q5k9{F4M1V(tIsU?4PDSPf=6FTE1cpZT2B0k52(ea62H0_%bl?
zV_3`o0Z4EZAc^F|l$C#A{lM*4{GEZlp7~q90OxnB0E8;ma|{g8V0&I(;QwIyN#Gg7
zySWTJ0t}M`%z&c*K>+9`_5%zIf0bZm{2zD?9<(#qGCcUt@Q8sSonZ@-oh%m^7(Rem
zTme8cmNNWj027=C8QPJQv3-Cko5t{n6&MCf1DF*iT;}8hvVg(Ydlv|RmhwDc;Ddz6
zTZS*}+zxyS8#oFL4svr|;7dUADbUyQ5SHxo9UD0cST8@|-_3AuBZITKGqM3f8K?5|
v4^ZX=RsmK92000000NkvXXu0mjf0g#9w

diff --git a/docs/html/img54.png b/docs/html/img54.png
index 31995149ce6bcc0dfacd1813a31efb496587aae6..14fd3ea0009953134916c5b9ade197510ef8abfd 100644
GIT binary patch
delta 1678
zcmV;9266er1;h;@iBL{Q4GJ0x0000DNk~Le0001>0002*1Oos70Eh3wr;#B`e+EKH
zL_t(|ob8%VY}-^E$A6(sQrF9$3*yg!Z5Jej1l?&|7!jJ_fEeLSrB)gocA*g(>m;Cw
z#H8J5I4}^}T5&)Vw@ge735gC(9JtV;smIZ>ja6tO^AOVt>tyUaC;q+n?7aM*O-0N5
z9+Kwy`P;;?^YQm<0~i_o%Nk1Ae=mP8WkdLV6AY~?)x@6tbH!bbGqh%&qZ*EshnJv|
zcU`xJ4YTZNClty=!#T(~P?O%_P4;vaa(&ls$U|c=z8VYwH!5b}T2H&^`@r@5O_>pS1^`cmUvKJk}~We}_Xu8(_Kk
z+foS`uDWok_ihiheXVw1-&X^7FTfNwZ07vM?e@8LyV^0lTP!(+F*M^1_%6=yR2jUl
zHv1#@wjTlB@FmDqcc5?Dnk??_y*SN((Z8|ZKXRiS8h*3?
zF2JK}htNt{>tVD3gah*-$cV?mtI&kduywz`(ubd+3FA!{bksTYtX2Q7AMjoSyIyl5
zR~SgP|B$)8fX6bw==%kFjQaCnv=ua_oW6D
ztun)N-F5G9hFW+&?$M=%@Qe*rcy2@uo&hKuJqeJj@OZXiCD#lMF`m_29`Ve^$9Ozj@TUJ1iDxC3N4@RvJP3HsTo4RY7|&`hKklyI^1g5m&tLC5corFAJX5*M
zlr39;3^AT{x!iU3A2>WG;&LDk&na*@kiqjdk;%(Q1TKqtxxV7M(lJ5dvY3}W#N_w%
zmTGWW%*#Gvp6o5v;If#PeZ*WA4M|+)^RkZ^xSWW~d|vhue*>>4;xeC?{WG2H#Y9{d
z^0IfPGrT(ymw6!jXF8uY6LFaXvcDS^4=3X?2juJ@Q|@fpaM^I#sE_h9(`z;Lw86Ct
zPC)X#7HKbho^qPECL;zvBAQ?>+ZB2F$5)A40dsi-eD2e`R~)FWC_C{6{8pxr^k$aISuw_aJk*i{!wt1%)c-LFO_;a_P9byGUjq*~3Y$%6U+^+(R-mv}>@ydl0!CM&-cp%bP9UgUsbF
zk^{p`Rq)W~a_67VNgfHg+>$)f;BtCwH~PSC
z?k=Wt83UQ+Nw_S;TgGX_Wy58oP1O8s@j$9z_746Nf9hET6~?%n7l_z9V=nL5zcwjNp!Uv~
z%U9ahD&Z2%-WhY*#ZC4=y>mkz!d$+Do9vk0nZo6XMQg)R_0Aex?%zApxvc7)$y`?S
z&U7v-dS^P96}>Z=%c|a)&SgdKoPf*Gy>n77OTBX{Ff~NpezMk`YcHni=9Sj~!oR>-N}jfmyr9jtk71J$8JNt=VJ82WH*892=Mu=VcMk>EvaE
z=QNRO@VqUwRpV^}MaJ8%2IVr&%Pig|WGu4rZCb%eO|l{z-=-Cu)DVj7hCGDwGK;s0
zBAa}hma536=Ve8aP0!1!BAcF<`xn_7dAWa)P0!1UBAcF<6-Bn;av~Wn8yOiH8U4TX
Y4|+xZLoI)W&Hw-a07*qoM6N<$f{Y1GT>t<8

delta 645
zcmV;00($+#4Z{T?iBL{Q4GJ0x0000DNk~Le0001_0000W1Oos70B*X@ypbVGe*!^C
zL_t(YiS3lXYZGA@$G_L}n!6miI}!Xr6%!mp5jiYH9Mr5`A-7!+wlX5L{mrD^x
zUoKdoigf*CCq$@y+kPcHoaGHGk!e`HuC)Pg#kr!(4B!XP{QaWu
z_7t7`{48=epW_3?k1+GoMr9uz!!I_|3fnV!ZPa}wi&429@LBnNvVmNXNOV?T2r^7z
zEJf~{H8fXzY(yu#SH6G#~Z_=LC~IB;O|=FMtq
zY7_NE>v?#1($dm^QpU!{y}iAWk&&J4#U?;LV@Z%-FoVOh8z4zHPZ!4!j+w~`2iVL0
zeE<93oZ&=9%7@eh#!GYfB|b^sXyi#_yH=dQ#?1ViaYfcN?f|yi>>A3?7^eg>8($Q6
i+W0U2i>wDDgIy}$q#A>Xvw-

literal 222
zcmeAS@N?(olHy`uVBq!ia0vp^+CVJ9!VDxQ&XxQCq_hHjLR=3VIIwy1=7xp_A0MA(
z%a%z>N){Iv+uPgEoH;WsEe)v3*x0zYw>L5}GRl1MTp*vZB*-tA!Qt5rkYtjli(`n!
z#N-4C)+glz%u;7`ZJ3;>pUpf$oiCVO@IgWcW8saaa}5U=*=8_2W(rB1
zaez%s;41HSUY!N!Y8t0A-t_7?P+~f}GhrQLh=kGsr2~u)tsGh(GDR>jY-^T!`>mx8
PWE+F0tDnm{r-UW|8zf0O

diff --git a/docs/html/img56.png b/docs/html/img56.png
index 3a198f8554b389cb8d10373f961ef9966d984d76..4f54c6e9322e42222763ddd95a3d42401972c37b 100644
GIT binary patch
delta 146
zcmeCERLtqy>SPkA)dXS|5JZK2gy-gCWS%#W93qW^#f8
z!;Sy{{{I&|bm!QC02PL`tp)}LxeS}985?|vV=%PnKNN9?lZPjVPeF`*LXRQC#vNP|
w5_1knJ!3H_Sl1%?J%_17aQ(Oc>?gPw_>Ty4Zm;WE0knp})78&qol`;+0D1o}vH$=8

delta 1237
zcmV;`1S#nJ^)!O{{~3`nbavR_cLs4WzVZ4@7Zl{^ccbsc97
zw$mSde8U?YXrRUhj1oqiR-R
zO8*MdqJb-wk*x=6QU-osL0Z_9FS<>T(d{7_U6W%jl=7^NsSn4z39od!e?V!vz-1iB
z-2rrZy0+Wi;Yz>_-+g4`#1SB>K)`AS&jAw0S2!ptYlY-8Sr%A>pnz7m~
zHV`aeEQXA&&`qSQHajGve~54MmaTJuh2TFPb;Fm69$u^pS2`jYMd^r
zbQX)48C3+G8BYt#K!(pMSitQVG9I#n-ZNDzgD&w`f40~H`qg()8OO_9hEYVu6*BOT
z%rjV`v3c$$QrG$fof%IH$#6Uwf)!83R(4otW&W&@u|KcD=w}P)e{w~Javs;&9ZDBL
zmrIJxuH2QkM(VV<8$bc~1f8A3)0U7SSn(EByR8)PH#+7*GP3ka8a90hPO+OF$ROjm
zU^8iFu-D{U9ES3ow@Y}z?}@$fG|E^j=q#6~Nf%s}Az1OYxPFDA*N={Uh1p^7pO|K2
z=@S_9w=I-LKQOU+e`12hjB~bfwRCTUeCgsuj=eLo^hxy&URr?hiw``W`|))e9l_#j
z_XT}oVw|VZ;D7!$q7zZdgF#FW=RFqwh#>=No*wpvy`*@IURjmRs#mQB)h}cZJM0Yn
zw}R0gT|~`&KE0Ag1Y~X@6?H
zu^LWB#9H)e*pw|Se@dg)q7U^a_QW0!i{HdP6Pu8(`u9kiSij|i_Rx(wPnv&8yjn$g
zq)qIAKiFI8%IljGcKGPB{<5RFkaN_1Xx;NLQSmW^XT9x@U9%&Z|IiA=1)E0QyO#ZQGV!e|Bgb7nh4JC3suh;Ui>+3;18B2y_Yh@D~
ziHJ-rD=!&Ipoxt{L?u>#8a8DuY+{=>`l0?mR#}g_6Hz7;00000NkvXXu0mjfn*>oR

diff --git a/docs/html/img57.png b/docs/html/img57.png
index a166a3f67c4a8249fc9b8060918415352cc37387..3016a54aa5a51e29fb8f5c4b859e0e9c66a24650 100644
GIT binary patch
delta 350
zcmV-k0ipiQ6rKYiiBL{Q4GJ0x0000DNk~Le0000?0000F1Oos70K9cH+L0kke*qjx
zL_t(2kz-&OXuv!HOhp_;2(kbD&0x}xs*K5iApuBnCLoE`0F^#KH;+#NNN_tKiTE-w
z@MBoZ{{cvF6d;M@!<3bOVEw@DSNxrUy`K47zX0cVs{n*5)^iLD(O`RCUf};=`bpp!
z!@Ic*JOT`p1k8Y<|3LugCiVjie+-piW&9s_4IZ>J*fKo$&+v$WA)R3hlASCU7#Kc)
zSzG}?GnO*^X8;qN2N~Ltl(Bt)DVxUdh!q$HO9Pk{CS2y^1G0d@*LxQTfR^$+VBmv<
z$6JOk?A#7~3L7{I4Gwa1Uf@eW@+r{Q@(`Bn^Bo&G3Ro{c;NQ(~ZzF@VG`X??LK&y>
w^AAww1Xcl71_nVOgMkw$0pcJ9_(Kp0019qUQ(rlMGXMYp07*qoM6N<$f_@)}b^rhX

literal 2637
zcmbVOeLNHD9^aZ)v{mO~d99t}Vv#d8d6!`;Wf+wu@)D+be~lb6oC*se)9POILO5x{
zk{G6lO;+Y4AxqeijLghS=I)$(Kc9R4xc7YSxqm#L=kxrY=l6Vm&+qsBexF}9!Sx7K
zNka($06>pAVLboT>|^2wNhKY{D$=xAtY(9_eSP$+mjzOu4XU0ppc
zF3!%*j!vgTAP^Es?g&7m(Yd*~US3|=SK>_NYhb*G>u~^P`mKCZk$V(te18NhFfbCVXXIhy&uDi>L`*U!|<+qSID_KQqY=3muCy_d3@Y;Avbk>HteCNkSi
zF3ACUFS@bJka`kv6Xz)%qlVVKmlDR~L^vJbs*JJGDKTA^Cwk?HCyb
z528xjiwGrSM5$i=Gsi^R+Sb-+~L6qB?vt{y5Fp1>%q6l1kQ3hOqm*1QtFbQ8?x)yQ`^Xlf^hd9GufHioz}UDXN@-C
z&35^IEqcLGx+l_RM-AKcN9kdrh5&>0iE|p$eN6Gpm6XBS?u-4;+a7CbKrZ)p?%7)I
zz)>aWJxxEx0%q=0y)U`jo@x+BpuJP!U#_+{;F|hxcYV7ul478|>OoKRfMq>+M`4f8
zXtpFV@qYB?yQySN=G9qXu~)Tu`S$t>WV?qhKd9fd{05nds$^hK7}4A6J*QD8!|aG{
z&yqn(8{SQcFTe>8zn*GZSAT$xEdPLZ+GBNg>;9kimZ6~trI|v@$^1>cTe7|9C#Xe+
z@!pYpA>O-!Gc>-Lr~&q%porF1pBO>xR?c6i*q8F&Q?{^l%C!jeV)@nF2PMFqPSk8L
zl{TScWiN&nsiTz}UN{qxUH6^c3?&qXk**goWrnt_&|&a{~hb`c?e=D
zYV5r>uQ7P)#ZxkA<4J*KikVgt8XAk;m7SeTiq+Raz*N?W-rSD=PTE@{L;Y(puYmECMCPy?l)hl3`G1&;QT?rU2w(+Cp
zp%~}C7k3W_2vJd1A#@{jIqZ<^wPf#xtE}{F9{Ttx5(`35p?M)eDwl%aZ~?dgx&(!B
z|1aiv6R{1icee`A#U;BmTIB2r^Y?I$=)hD0Uf0%n3f0h%-;y$1)a(;40F_@D$DH=$
zW?VmL?7vVEf$fr{_oC254h6UsT0~dxT`FdxMt)03s5Z}@vpkU`ns{P@{3ym2SRQhV
zpHci?z&`<~zvm4=kp)@y%e^h<#4WaadzQdjXIf#*|F^EcM*+qVoStmVz3UfNHN!G%
zL>+%G?fW^*DpZRUWMB(~Z42_Ts%BgF}uI^hE!h>s?N3F!Xw#Hl^1MdM2p8j3j
zJfoyLjFCxe`@HWG5alv$kXdw=ELDf?e6PV^xjqXb9Y&>2O%}`6<<^m3$}}0QL;QX|
z>+vO{NBFe}$Ys#akySJ~<^$_G(P;u&jI(Sf@e&zs=srSxJ|IGWwtJc!d*ADXZ`cE_
zmT&0E$n1(SWrg7Z=g`Ibp@Im1jLDk{VHupuiYKqEi$Xzpp7YGP{`p^8E*ORWVJW|r
z%btlWN$K7K?ne06>x$@Z7jx@0EOOl=p@1LywfL7$o;rHhePv}U(8Nq_%|9lR+D)4w
zM~s&Co#D5h=#iC}K-@J+!2PJt8A0}(8euFN>T#gm
zdSxch?BO<}%_CUG4>|`Nv
z91ALj2AyZrlGV7Qbrr$j|Ai(0nLH-((R-_@;ska=q;DhjHw>NbmQXkk1~my3`CD~E
z6@zZ}(ZMR{Ih(O2&P$)l&^aL|@l+J%byr}fRg>gHjV=|D2WQ$pef5o@le${ji1w^T
z>G6T0t`*+o=&33w;%2IwUPX8PpuOBjBrTvk*qGNzSUf$5@+SQr^#4@EX$$e>YF&sd
zvSDg$ocB@qtnCx=ba=BSeRK7LciO!!T1(;TTintOSOWJJ4C&I;33Ko83(^?t|xj(LGV
zV83^VjXox0f<51$dPZJjX1R=Wauk`$(^Web7WRVTu=!>tU)XZ3`3SA
z>u03DVDVq-H`hFxy+s=fIQQPXheof52SXuhDP&Fe7+bmQHG9A)SApj)kY2V|n#;e&
zIbUyUunIFT1U^Fj*i8M{-FlT*RoLkqA-b^pi9!J*9e4!D(C|}4UV9P3l(>nGpH
zJBKF*X#;Ga=fbuflSnR$S*KeyQ?nU!Bccv8W!)HcclhGr9g}6WmH-^-*Bd`{EM#5p
zC9#lGZX%10bPBA;PqokNRMAEFjV`8h#%yn2rr)^zhwX=y71>)>rML65MtS^`n>tHP
llllSe;pZ0&_qXJ30=`Xb2=q{5K;=Ci;3&=&`_REZ;~!VX|BV0u

diff --git a/docs/html/img58.png b/docs/html/img58.png
index 34a1d28977dbcb547609cfba150ac532205da7eb..31995149ce6bcc0dfacd1813a31efb496587aae6 100644
GIT binary patch
delta 645
zcmV;00($+{6T<}|iBL{Q4GJ0x0000DNk~Le0001_0000W1Oos70B*X@ypbVGe*!^C
zL_t(YiS3lXYZGA@$G_L}n!6miI}!Xr6%!mp5jiYH9Mr5`A-7!+wlX5L{mrD^x
zUoKdoigf*CCq$@y+kPcHoaGHGk!e`HuC)Pg#kr!(4B!XP{QaWu
z_7t7`{48=epW_3?k1+GoMr9uz!!I_|3fnV!ZPa}wi&429@LBnNvVmNXNOV?T2r^7z
zEJf~{H8fXzY-CUg^U?s4a
zm>9(6E?VNpnZ;xm)bVGYO(rC1%rY0B+mYkf7Mx!e$D-{(LV`5@#
zZEXPnkdl(Z<3)vH2m~T4D+`0cq^HH0h}NK3cUKQFJ3dErDCy~P;<)Ffg2h61xH9hW
zz*LmSyFAlL1J$D`Pg+-f_I{h9T3-FerST6nb)lp@>XBoLe=oJ%ts%$3YSqWEq>sF)
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znYw{qeYLdNCaI0bS1^sK#(TPT5nm^u#bJ<;u8;54Qz2R3>UiaZyKEW|tkU75FpWCt
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z@dQl&UX|8btv2!Q{D-OJm)T#imjA!h8prw;ZJD#J?T!x~^xNy3Ni5wEd-SgToPPWn
z-qC;b?UfD)Hq!irj|cMvwybtR&y~PAFx*_4uaG3fhwOu!%kyJudqG~+fN4a5PxB_M
zqyqmjKix}!x~e_UZM9arQ%}na!rCmiFUtBv@6OFpH!`=jQQJn72N4@`Z+*FUi-5fU
zcme_AgNw+yMS>%)Vdn3CgvNhFjjFR3elscvl11j&x4r1`*RZ^-+YMui(mbOa#r=}z
zd^749@pIB~Ep+cE0Vzxyh)=7Pwj>YaFK*F0#yy{n-i=zHnvjl2c%2rnnP7i_>tp_*
z8U3(f3&TnFVmmKZCL1`3!nrc_WvQv5Px0Hd?Oslj+88}bDgAsjJ+2Y9aNl)vdOrSD?0dzo3k)Tz11w6&BHZ%S$*Su}`Lu6Xvta1O
zgT|JGCRo~V6-YnLk~gD|F|_Ht-vIieEOsQE*qTo+B~7C}$+*wA5pAt<0#$fy0t+!F
zIkn>tP_phgER0gr%xw2<=yh+kE{QL+&ly_xw*-#4!<0TPcgo`ThYg3_IaT3aE!`?~
zk_o)JJ#Qpj@75CjObd9q`wO0{ySgqBVR(i#mMrHFDfUtC^zWHE*4B}3KM=JQsxlz&
zt2@f+z2NZHvF^rS^C8=5GmeD4qu*@pGkkt2-QH4Eq`CNmY=&XX^kaQljVG*

diff --git a/docs/html/img59.png b/docs/html/img59.png
index bb04ee281a7684cf7ebd35e56a712a4a1e858717..691856369d760220874d6cd13a612d47c764387e 100644
GIT binary patch
literal 222
zcmeAS@N?(olHy`uVBq!ia0vp^+CVJ9!VDxQ&XxQCq_hHjLR=3VIIwy1=7xp_A0MA(
z%a%z>N){Iv+uPgEoH;WsEe)v3*x0zYw>L5}GRl1MTp*vZB*-tA!Qt5rkYtjli(`n!
z#N-4C)+glz%u;7`ZJ3;>pUpf$oiCVO@IgWcW8saaa}5U=*=8_2W(rB1
zaez%s;41HSUY!N!Y8t0A-t_7?P+~f}GhrQLh=kGsr2~u)tsGh(GDR>jY-^T!`>mx8
PWE+F0tDnm{r-UW|8zf0O

delta 300
zcmcb|xSh$UGr-TCmrII^fq{Y7)59eQNSgz(Gz&A3)SAs@0i+B9d_r6g95}Ff^JXf-rnBG$jHw2ViO>ru_VYZn8D%M4UptkPZ!4!jfu$#609i<
z`xx#NeSWQ__Fz(SdCG&B4)0AK4UG@YRtd289IWE=xYN2pa{Kq2O>gS?CZ_~4csjN0
zlzg|Dacz1|gXgCj2BFuAhvx89Dl9bGU9P}Tn6kGL=$=YGtuqx2!IPdch0OTNq&?xu
z9tQJojdKpH;S@;Zp2q)&=LFxQa*Y*dTDaaDe80_6rgA4Z-sdkXi^8EbOmhU@A5@LJ
tANz#6fit;D+P=V}p`lkv&T|n1L#?WLdvTZC2A~fZJYD@<);T3K0RY8cZP5S#

diff --git a/docs/html/img60.png b/docs/html/img60.png
index 1450f40c7be19eb30541573d24159a93f21a8ad0..3a198f8554b389cb8d10373f961ef9966d984d76 100644
GIT binary patch
delta 1237
zcmV;`1S#nJ^)!O{{~3`nbavR_cLs4WzVZ4@7Zl{^ccbsc97
zw$mSde8U?YXrRUhj1oqiR-R
zO8*MdqJb-wk*x=6QU-osL0Z_9FS<>T(d{7_U6W%jl=7^NsSn4z39od!e?V!vz-1iB
z-2rrZy0+Wi;Yz>_-+g4`#1SB>K)`AS&jAw0S2!ptYlY-8Sr%A>pnz7m~
zHV`aeEQXA&&`qSQHajGve~54MmaTJuh2TFPb;Fm69$u^pS2`jYMd^r
zbQX)48C3+G8BYt#K!(pMSitQVG9I#n-ZNDzgD&w`f40~H`qg()8OO_9hEYVu6*BOT
z%rjV`v3c$$QrG$fof%IH$#6Uwf)!83R(4otW&W&@u|KcD=w}P)e{w~Javs;&9ZDBL
zmrIJxuH2QkM(VV<8$bc~1f8A3)0U7SSn(EByR8)PH#+7*GP3ka8a90hPO+OF$ROjm
zU^8iFu-D{U9ES3ow@Y}z?}@$fG|E^j=q#6~Nf%s}Az1OYxPFDA*N={Uh1p^7pO|K2
z=@S_9w=I-LKQOU+e`12hjB~bfwRCTUeCgsuj=eLo^hxy&URr?hiw``W`|))e9l_#j
z_XT}oVw|VZ;D7!$q7zZdgF#FW=RFqwh#>=No*wpvy`*@IURjmRs#mQB)h}cZJM0Yn
zw}R0gT|~`&KE0Ag1Y~X@6?H
zu^LWB#9H)e*pw|Se@dg)q7U^a_QW0!i{HdP6Pu8(`u9kiSij|i_Rx(wPnv&8yjn$g
zq)qIAKiFI8%IljGcKGPB{<5RFkaN_1Xx;NLQSmW^XT9x@U9%&Z|IiA=1)E0QyO#ZQGV!e|Bgb7nh4JC3suh;Ui>+3;18B2y_Yh@D~
ziHJ-rD=!&Ipoxt{L?u>#8a8DuY+{=>`l0?mR#}g_6Hz7;00000NkvXXu0mjf@%~Xf

delta 164
zcmeCERLtqy>Ojj)fUWUccU~G*QvJiXp|*#W6%;YI4E>
z{vS*VU;gas;#8P*cVc6)Vn?9Lfdd879-HSe3zav{aAiF8;3tF1HRg}A*?D;8JYT>w
zjay+QdlA!Shi4zGMMBb=c>g86(pO+e+OTgo$L2T3_*c9&>tdPXp31=B7cXJwD=_;7
P&|(HpS3j3^P6pAVLboT>|^2wNhKY{D$=xAtY(9_eSP$+mjzOu4XU0ppc
zF3!%*j!vgTAP^Es?g&7m(Yd*~US3|=SK>_NYhb*G>u~^P`mKCZk$V(te18NhFfbCVXXIhy&uDi>L`*U!|<+qSID_KQqY=3muCy_d3@Y;Avbk>HteCNkSi
zF3ACUFS@bJka`kv6Xz)%qlVVKmlDR~L^vJbs*JJGDKTA^Cwk?HCyb
z528xjiwGrSM5$i=Gsi^R+Sb-+~L6qB?vt{y5Fp1>%q6l1kQ3hOqm*1QtFbQ8?x)yQ`^Xlf^hd9GufHioz}UDXN@-C
z&35^IEqcLGx+l_RM-AKcN9kdrh5&>0iE|p$eN6Gpm6XBS?u-4;+a7CbKrZ)p?%7)I
zz)>aWJxxEx0%q=0y)U`jo@x+BpuJP!U#_+{;F|hxcYV7ul478|>OoKRfMq>+M`4f8
zXtpFV@qYB?yQySN=G9qXu~)Tu`S$t>WV?qhKd9fd{05nds$^hK7}4A6J*QD8!|aG{
z&yqn(8{SQcFTe>8zn*GZSAT$xEdPLZ+GBNg>;9kimZ6~trI|v@$^1>cTe7|9C#Xe+
z@!pYpA>O-!Gc>-Lr~&q%porF1pBO>xR?c6i*q8F&Q?{^l%C!jeV)@nF2PMFqPSk8L
zl{TScWiN&nsiTz}UN{qxUH6^c3?&qXk**goWrnt_&|&a{~hb`c?e=D
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zp%~}C7k3W_2vJd1A#@{jIqZ<^wPf#xtE}{F9{Ttx5(`35p?M)eDwl%aZ~?dgx&(!B
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zW?VmL?7vVEf$fr{_oC254h6UsT0~dxT`FdxMt)03s5Z}@vpkU`ns{P@{3ym2SRQhV
zpHci?z&`<~zvm4=kp)@y%e^h<#4WaadzQdjXIf#*|F^EcM*+qVoStmVz3UfNHN!G%
zL>+%G?fW^*DpZRUWMB(~Z42_Ts%BgF}uI^hE!h>s?N3F!Xw#Hl^1MdM2p8j3j
zJfoyLjFCxe`@HWG5alv$kXdw=ELDf?e6PV^xjqXb9Y&>2O%}`6<<^m3$}}0QL;QX|
z>+vO{NBFe}$Ys#akySJ~<^$_G(P;u&jI(Sf@e&zs=srSxJ|IGWwtJc!d*ADXZ`cE_
zmT&0E$n1(SWrg7Z=g`Ibp@Im1jLDk{VHupuiYKqEi$Xzpp7YGP{`p^8E*ORWVJW|r
z%btlWN$K7K?ne06>x$@Z7jx@0EOOl=p@1LywfL7$o;rHhePv}U(8Nq_%|9lR+D)4w
zM~s&Co#D5h=#iC}K-@J+!2PJt8A0}(8euFN>T#gm
zdSxch?BO<}%_CUG4>|`Nv
z91ALj2AyZrlGV7Qbrr$j|Ai(0nLH-((R-_@;ska=q;DhjHw>NbmQXkk1~my3`CD~E
z6@zZ}(ZMR{Ih(O2&P$)l&^aL|@l+J%byr}fRg>gHjV=|D2WQ$pef5o@le${ji1w^T
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zvSDg$ocB@qtnCx=ba=BSeRK7LciO!!T1(;TTintOSOWJJ4C&I;33Ko83(^?t|xj(LGV
zV83^VjXox0f<51$dPZJjX1R=Wauk`$(^Web7WRVTu=!>tU)XZ3`3SA
z>u03DVDVq-H`hFxy+s=fIQQPXheof52SXuhDP&Fe7+bmQHG9A)SApj)kY2V|n#;e&
zIbUyUunIFT1U^Fj*i8M{-FlT*RoLkqA-b^pi9!J*9e4!D(C|}4UV9P3l(>nGpH
zJBKF*X#;Ga=fbuflSnR$S*KeyQ?nU!Bccv8W!)HcclhGr9g}6WmH-^-*Bd`{EM#5p
zC9#lGZX%10bPBA;PqokNRMAEFjV`8h#%yn2rr)^zhwX=y71>)>rML65MtS^`n>tHP
llllSe;pZ0&_qXJ30=`Xb2=q{5K;=Ci;3&=&`_REZ;~!VX|BV0u

delta 199
zcmX>r@{rM}Gr-TCmrII^fq{Y7)59eQNQ(in91Am$ymj((Dv;6*@Ck7}aNxk^&70NK
z)Fzs$)Ze+dniD9&SQ6wH%;50sMjDWlFVdQ&MBb@0IhdO(*OVf

diff --git a/docs/html/img62.png b/docs/html/img62.png
index 0cb6f7f2055971aa47cdacbca58e6308d4f4b050..34a1d28977dbcb547609cfba150ac532205da7eb 100644
GIT binary patch
literal 2518
zcmai0c{JPE9+xqrm5NqtDX|toMF%mlFQup^Rkf6iQbEFyP|F)tQQA^fOOdqoYwWeu
zQl*BDQN%70NjtP6q1qzoRCVkcV$%2im~-a!y!XdF_uPBW_nz-(xu0{>-CUg^U?s4a
zm>9(6E?VNpnZ;xm)bVGYO(rC1%rY0B+mYkf7Mx!e$D-{(LV`5@#
zZEXPnkdl(Z<3)vH2m~T4D+`0cq^HH0h}NK3cUKQFJ3dErDCy~P;<)Ffg2h61xH9hW
zz*LmSyFAlL1J$D`Pg+-f_I{h9T3-FerST6nb)lp@>XBoLe=oJ%ts%$3YSqWEq>sF)
zulg)gqw5-_MeALcgLFh`g+WWTK(h^qzY<&&KSjsiu$szCO))(;5-cDNWG1?~H8>ZNCwyb3bE6H@H5Mk#l;d5czqhzHocq9DLf;&%$IaEQ+Ya
z`Do=#^7BpnZoJG{H<(3WH*eraau@jUK>s9&Q5-P~_T=SKiQA(_
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zxTn#2spr}8agx%fXf!?cA!iGdPd|z*o1{4S{ko(6izIYreE-kGn-^(aw+NgFnUeQO6FBV2J;kv
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z$)tUOlBK#19)IB=gG?iO!gShvwVHx4EWmPN9Cm?zO~zPY5-__=(IV`*1ew3+7p_@D
zH{KZlCMQV9Q6nN76dB&lF9t$h&-30;ZjWRX7Nx{4Win
z^wOJcXzW_aitqvZ+*z}A;XDMp!Y;Svt(2?;KDr8^65(8&|3l@K{w(}#zGc5|lkp*-
znYw{qeYLdNCaI0bS1^sK#(TPT5nm^u#bJ<;u8;54Qz2R3>UiaZyKEW|tkU75FpWCt
zx4%Yl8qMHOC3`$p-b9UKl{tX~ag&`Yb;NoEjh=n*_l1(IK8?4n6Uh<
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z7*A7%Wsp+jkSgthVu4N0>jdc$1Mb{fagVh(n$ruJadvr!!s-U6YZf+=Zg=Djlrid<
zbrcNVgKu{j_dh|_Tw`{lu)?|AP^uQ0y!s=x3z;?m>vstKNu;Yzh#S;0bBUM%3DacC
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z@dQl&UX|8btv2!Q{D-OJm)T#imjA!h8prw;ZJD#J?T!x~^xNy3Ni5wEd-SgToPPWn
z-qC;b?UfD)Hq!irj|cMvwybtR&y~PAFx*_4uaG3fhwOu!%kyJudqG~+fN4a5PxB_M
zqyqmjKix}!x~e_UZM9arQ%}na!rCmiFUtBv@6OFpH!`=jQQJn72N4@`Z+*FUi-5fU
zcme_AgNw+yMS>%)Vdn3CgvNhFjjFR3elscvl11j&x4r1`*RZ^-+YMui(mbOa#r=}z
zd^749@pIB~Ep+cE0Vzxyh)=7Pwj>YaFK*F0#yy{n-i=zHnvjl2c%2rnnP7i_>tp_*
z8U3(f3&TnFVmmKZCL1`3!nrc_WvQv5Px0Hd?Oslj+88}bDgAsjJ+2Y9aNl)vdOrSD?0dzo3k)Tz11w6&BHZ%S$*Su}`Lu6Xvta1O
zgT|JGCRo~V6-YnLk~gD|F|_Ht-vIieEOsQE*qTo+B~7C}$+*wA5pAt<0#$fy0t+!F
zIkn>tP_phgER0gr%xw2<=yh+kE{QL+&ly_xw*-#4!<0TPcgo`ThYg3_IaT3aE!`?~
zk_o)JJ#Qpj@75CjObd9q`wO0{ySgqBVR(i#mMrHFDfUtC^zWHE*4B}3KM=JQsxlz&
zt2@f+z2NZHvF^rS^C8=5GmeD4qu*@pGkkt2-QH4Eq`CNmY=&XX^kaQljVG*

delta 178
zcmV;j08Rha6Y~KfiBL{Q4GJ0x0000DNk~Le0000Q0000K1Oos70AX%0jgcWse*kew
zL_t&-m1AHa4A|?+pBKP+@(k?^AK*MghNTP!U`2ob|NqFqnE(~v#=y|R!0iC#wJw7v7CWHmw_t)!r?s1z_*n9&rb-C`~3g^0&v4Q8jzjAwE>woX96;B7cwVa?JE(!
g0)jKh0F?&-Zd5J0iTNpq000002uVdwM6N<$f~h`67XSbN

diff --git a/docs/html/img63.png b/docs/html/img63.png
index 8be7967900ae804f139107fbe5ac58114175e0da..bb04ee281a7684cf7ebd35e56a712a4a1e858717 100644
GIT binary patch
delta 246
zcmVf
zL_t(2kz-&O1!Mre0Nir(>nbMTl4Eyd;9Q7HvPgh|;Wnxe2aLgb4oKXEuo<`a*@EnU
z4wGb207*iGxf$-W0j+0jfJyRv021pV!ki3wAfYn5cOU>{y?MaEz}m0_Y4OiBL{Q4GJ0x0000DNk~Le0006(0000Z1Oos70AY#4=8+*we+A}A
zL_t(&f$dmLXdGo2erC6m&1SPRLl14Nmd1m6D29cFfTp$u(W+1~C@Bi1wulFjvT-*3M8_63%PsJ%o7f50vBGqGe(HyTDKFfmd>M>~Vnfmh31d3?BvXz9EV
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diff --git a/docs/html/img65.png b/docs/html/img65.png
index 9e29b6013007cdb13330767b0145f5f70fbdfe98..840e98508fe53db0496cd7043ab0f280552007a2 100644
GIT binary patch
delta 199
zcmbQv^pMf0Gr-TCmrII^fq{Y7)59eQNQ(in91Am$ymj((Dv;6*@Ck7}aNxk^&70NK
z)Fzs$)Ze+dniD9&SQ6wH%;50sMjDWlFVdQ&MBb@0CkZ_ivR!s

delta 253
zcmaFJIGxF~Gr-TCmrII^fq{Y7)59eQNb3TzG7B@1{A4%pCXg}+@Ck7}aNxk^&70NK
z)EXKZCK{>KceWRs0Oc4>qrF&R
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diff --git a/docs/html/img66.png b/docs/html/img66.png
index 20b3af47774f08ea9db181512ac15dab71279e8c..0cb6f7f2055971aa47cdacbca58e6308d4f4b050 100644
GIT binary patch
delta 178
zcmV;j08Rg{1@i$RiBL{Q4GJ0x0000DNk~Le0000Q0000K1Oos70AX%0jgcWse*kew
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diff --git a/docs/html/img67.png b/docs/html/img67.png
index a9a08bc8be5a6aa40c7ecab970355e3db0bb7c27..8be7967900ae804f139107fbe5ac58114175e0da 100644
GIT binary patch
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diff --git a/docs/html/img68.png b/docs/html/img68.png
index 75cf014049375b166d4c0162412045a9c50ef5bf..0cb6f7f2055971aa47cdacbca58e6308d4f4b050 100644
GIT binary patch
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literal 310
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D&H8i5

diff --git a/docs/html/img73.png b/docs/html/img73.png
index 7f9a996cabb8675b2bf42f977572d8dc5748d7ee..2b37abe9aed5e746f412357432711f7325a54f81 100644
GIT binary patch
delta 673
zcmV;S0$%;i0>T9$iBL{Q4GJ0x0000DNk~Le0001^0000S1Oos70RP?+6Okbl224y$
zrlzKmJ05?DhjTOl0004WQchC$o2+p+dr_3E
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Ur~UIXA^-pY07*qoM6N<$g4p#_cmMzZ

diff --git a/docs/html/img75.png b/docs/html/img75.png
index 499ac4c53062de58e3799dd70612f24f6071cc04..4131707b3e5fd355d3c1b049ecaf15af2bab9f09 100644
GIT binary patch
delta 412
zcmV;N0b~B~3ETrAiBL{Q4GJ0x0000DNk~Le000160000U1Oos70I`jKb&(-Ue*s!a
zL_t(IjbmUK@*wsAh-A+oQaSSlFy&9Aa{dosDvwCzObj5H^GXAbMkYQkmuP$KM
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diff --git a/docs/html/img76.png b/docs/html/img76.png
index 10647c53d6bf705d4d1e1aea6d35c3cefd3a0616..ba3d4c05d9047e97c2a39fcb7d76c08d8e058a92 100644
GIT binary patch
literal 310
zcmeAS@N?(olHy`uVBq!ia0vp^+CVJF!VDzckNkQIqznRlLR=3VIIwy1W;HdnhK2?o
zAD?B*mPtxV78e)W+uP5aIg^KnCoL@vsMgrnxVN`AGBUEWz1RfEXDkWw3ubV5b^|22
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D&H8i5

literal 278
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diff --git a/docs/html/img77.png b/docs/html/img77.png
index b55484779514ae6573b4e107dad2b5786a794ba2..7f9a996cabb8675b2bf42f977572d8dc5748d7ee 100644
GIT binary patch
delta 297
zcmV+^0oMMm1I+>CcpJ05@bl+dgI0004WQchCz%-6#NI1EZ>V6{HqIO7#M(Pe)R+(-#+6bNM@42Urt2^O{edxiUgm+2JQ>&7jT*LUh6v&kD~w>wEI4T@x6^G
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z@^oN
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zaKg@?t#bocfsuiQxWS&31dbUy1m0<+Gq*9ZU7MV6I8bg=d#Wzp$PzdylDXd

literal 160
zcmeAS@N?(olHy`uVBq!ia0vp^5gTe~DWM4f
DKXEO{

diff --git a/docs/html/img79.png b/docs/html/img79.png
index 9c2f557f161eb8a6eb56591e6d2cad01878cd239..499ac4c53062de58e3799dd70612f24f6071cc04 100644
GIT binary patch
literal 1264
zcmV
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zbW%=J06^y0W&i*LZb?KzRA_!&1O5<&CJjTjiH)6>4OjgK|yRAebAsU
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literal 344
zcmeAS@N?(olHy`uVBq!ia0vp^ra;Wc!VDy9OFeagltF+`i0gp^2R3istfr>c(9q!H
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diff --git a/docs/html/img81.png b/docs/html/img81.png
index 0630d10e7c0ad4f5e97fb442d4d694673767a85f..b55484779514ae6573b4e107dad2b5786a794ba2 100644
GIT binary patch
delta 366
zcmV-!0g?Ws3a$eoiBL{Q4GJ0x0000DNk~Le0001u0000U1Oos70ONvydyyeae*r8>
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delta 1259
zcmVyD18VLvuIUB
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literal 434
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GIT binary patch
delta 416
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diff --git a/docs/html/img93.png b/docs/html/img93.png
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GIT binary patch
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diff --git a/docs/html/img94.png b/docs/html/img94.png
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diff --git a/docs/html/img95.png b/docs/html/img95.png
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GIT binary patch
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delta 422
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zJ21=zv-k~wB783|a4Iq^^YMRRE8uou_zz++@PV!53Ya6nQ2-PIvY~
 
  • psb_amn -- Global minimum absolute value
 
  • psb_snd -- Send data
+  HREF="node114.html">psb_nrm2 -- Global 2-norm reduction
 
  • psb_rcv -- Receive data
+  HREF="node115.html">psb_snd -- Send data
+
  • psb_rcv -- Receive data
 
 
    
-
  • Error handling
 
  • Utilities
-
    • @@ -139,7 +139,7 @@ Specified as: an integer variable.
  • It is an error to specify a value for $np$ greater than the number of processes available in the underlying base parallel environment. @@ -150,26 +150,26 @@ Specified as: an integer variable.
    - next - up - previous - contents
    - Next: Next: psb_info Return - Up: Up: Parallel environment routines - Previous: Previous: Parallel environment routines -   Contents
    diff --git a/docs/html/node101.html b/docs/html/node101.html index dfd0a604..5b1d6453 100644 --- a/docs/html/node101.html +++ b/docs/html/node101.html @@ -23,26 +23,26 @@
    - next - up - previous - contents
    - Next: Next: psb_exit Exit - Up: Up: Parallel environment routines - Previous: Previous: psb_init Initializes -   Contents

    @@ -101,7 +101,7 @@ Specified as: an integer value. $-1 \le iam \le np-1$
    np
    Number of processes in the PSBLAS virtual parallel machine. @@ -125,14 +125,14 @@ Specified as: an integer variable.
    --> $0 \le iam \le np-1$;
  • If the user has requested on psb_init a number of processes less than the total available in the parallel execution environment, the remaining processes will have on return $iam=-1$; the only call involving icontxt that any such process may execute is to psb_exit. diff --git a/docs/html/node102.html b/docs/html/node102.html index 5f8dc244..a47b5306 100644 --- a/docs/html/node102.html +++ b/docs/html/node102.html @@ -23,26 +23,26 @@
    - next - up - previous - contents
    - Next: Next: psb_get_mpicomm Get - Up: Up: Parallel environment routines - Previous: Previous: psb_info Return -   Contents

    @@ -101,7 +101,7 @@ Specified as: a logical variable, default value: true.
  • This routine may be called even if a previous call to psb_info has returned with $iam=-1$; indeed, it it is the only routine that may be called with argument icontxt in this situation. @@ -122,26 +122,26 @@ Specified as: a logical variable, default value: true.
    - next - up - previous - contents
    - Next: Next: psb_get_mpicomm Get - Up: Up: Parallel environment routines - Previous: Previous: psb_info Return -   Contents
    diff --git a/docs/html/node103.html b/docs/html/node103.html index 4dc35680..cfea712f 100644 --- a/docs/html/node103.html +++ b/docs/html/node103.html @@ -23,26 +23,26 @@
    - next - up - previous - contents
    - Next: Next: psb_get_rank Get - Up: Up: Parallel environment routines - Previous: Previous: psb_exit Exit -   Contents

    diff --git a/docs/html/node104.html b/docs/html/node104.html index d63914d6..0598f739 100644 --- a/docs/html/node104.html +++ b/docs/html/node104.html @@ -23,26 +23,26 @@
    - next - up - previous - contents
    - Next: Next: psb_wtime Wall - Up: Up: Parallel environment routines - Previous: Previous: psb_get_mpicomm Get -   Contents

    @@ -60,7 +60,7 @@ call psb_get_rank(rank, icontxt, id)

    This subroutine returns the MPI rank of the PSBLAS process $id$

    Type:
    @@ -95,7 +95,7 @@ Specified as: an integer value. $0 \le id \le np-1$
    @@ -107,7 +107,7 @@ Specified as: an integer value. - next - up - previous - contents
    - Next: Next: psb_barrier Sinchronization - Up: Up: Parallel environment routines - Previous: Previous: psb_get_rank Get -   Contents

    diff --git a/docs/html/node106.html b/docs/html/node106.html index e3f33617..b3fa7726 100644 --- a/docs/html/node106.html +++ b/docs/html/node106.html @@ -23,26 +23,26 @@
    - next - up - previous - contents
    - Next: Next: psb_abort Abort - Up: Up: Parallel environment routines - Previous: Previous: psb_wtime Wall -   Contents

    diff --git a/docs/html/node107.html b/docs/html/node107.html index 4ed9556c..38a9b41c 100644 --- a/docs/html/node107.html +++ b/docs/html/node107.html @@ -23,26 +23,26 @@
    - next - up - previous - contents
    - Next: Next: psb_bcast Broadcast - Up: Up: Parallel environment routines - Previous: Previous: psb_barrier Sinchronization -   Contents

    diff --git a/docs/html/node108.html b/docs/html/node108.html index 6c4c6cf1..08c7ae18 100644 --- a/docs/html/node108.html +++ b/docs/html/node108.html @@ -23,26 +23,26 @@
    - next - up - previous - contents
    - Next: Next: psb_sum Global - Up: Up: Parallel environment routines - Previous: Previous: psb_abort Abort -   Contents

    @@ -106,7 +106,7 @@ Specified as: an integer value $0<= root <= np-1$, default 0 diff --git a/docs/html/node109.html b/docs/html/node109.html index 551dbe87..4db84594 100644 --- a/docs/html/node109.html +++ b/docs/html/node109.html @@ -23,26 +23,26 @@
    - next - up - previous - contents
    - Next: Next: psb_max Global - Up: Up: Parallel environment routines - Previous: Previous: psb_bcast Broadcast -   Contents

    @@ -94,7 +94,7 @@ scalar, or a rank 1 or 2 array. Type, kind, rank and size must agree on all pro
    root
    Process to hold the final sum, or $-1$ to make it available on all processes.
    @@ -109,7 +109,7 @@ Specified as: an integer value $-1<= root <= np-1$, default -1.
    @@ -150,26 +150,26 @@ Type, kind, rank and size must agree on all processes.
    - next - up - previous - contents
    - Next: Next: psb_max Global - Up: Up: Parallel environment routines - Previous: Previous: psb_bcast Broadcast -   Contents
    diff --git a/docs/html/node11.html b/docs/html/node11.html index 45baf9c6..4b9ac393 100644 --- a/docs/html/node11.html +++ b/docs/html/node11.html @@ -23,26 +23,26 @@
    - next - up - previous - contents
    - Next: Next: get_local_rows Get - Up: Up: Descriptor data structure - Previous: Previous: Descriptor data structure -   Contents

    diff --git a/docs/html/node110.html b/docs/html/node110.html index 1b4376d1..38ebc06e 100644 --- a/docs/html/node110.html +++ b/docs/html/node110.html @@ -23,26 +23,26 @@
    - next - up - previous - contents
    - Next: Next: psb_min Global - Up: Up: Parallel environment routines - Previous: Previous: psb_sum Global -   Contents

    @@ -94,7 +94,7 @@ scalar, or a rank 1 or 2 array. Type, kind, rank and size must agree on all pro
    root
    Process to hold the final maximum, or $-1$ to make it available on all processes.
    @@ -109,7 +109,7 @@ Specified as: an integer value $-1<= root <= np-1$, default -1.
    @@ -149,26 +149,26 @@ scalar, or a rank 1 or 2 array. Type, kind, rank and size must agree on all pro
    - next - up - previous - contents
    - Next: Next: psb_min Global - Up: Up: Parallel environment routines - Previous: Previous: psb_sum Global -   Contents
    diff --git a/docs/html/node111.html b/docs/html/node111.html index e02d317b..7d6b75e5 100644 --- a/docs/html/node111.html +++ b/docs/html/node111.html @@ -23,26 +23,26 @@
    - next - up - previous - contents
    - Next: Next: psb_amx Global - Up: Up: Parallel environment routines - Previous: Previous: psb_max Global -   Contents

    @@ -94,7 +94,7 @@ scalar, or a rank 1 or 2 array. Type, kind, rank and size must agree on all pro
    root
    Process to hold the final value, or $-1$ to make it available on all processes.
    @@ -109,7 +109,7 @@ Specified as: an integer value $-1<= root <= np-1$, default -1.
    @@ -151,26 +151,26 @@ Type, kind, rank and size must agree on all processes.
    - next - up - previous - contents
    - Next: Next: psb_amx Global - Up: Up: Parallel environment routines - Previous: Previous: psb_max Global -   Contents
    diff --git a/docs/html/node112.html b/docs/html/node112.html index ac2d00ad..1caffe50 100644 --- a/docs/html/node112.html +++ b/docs/html/node112.html @@ -23,26 +23,26 @@
    - next - up - previous - contents
    - Next: Next: psb_amn Global - Up: Up: Parallel environment routines - Previous: Previous: psb_min Global -   Contents

    @@ -94,7 +94,7 @@ scalar, or a rank 1 or 2 array. Type, kind, rank and size must agree on all pro
    root
    Process to hold the final value, or $-1$ to make it available on all processes.
    @@ -109,7 +109,7 @@ Specified as: an integer value $-1<= root <= np-1$, default -1.
    @@ -149,26 +149,26 @@ scalar, or a rank 1 or 2 array. Type, kind, rank and size must agree on all pro
    - next - up - previous - contents
    - Next: Next: psb_amn Global - Up: Up: Parallel environment routines - Previous: Previous: psb_min Global -   Contents
    diff --git a/docs/html/node113.html b/docs/html/node113.html index fa016fed..ed8dd494 100644 --- a/docs/html/node113.html +++ b/docs/html/node113.html @@ -23,26 +23,26 @@
    - next - up - previous - contents
    - Next: psb_snd Send - Up: Next: psb_nrm2 Global + Up: Parallel environment routines - Previous: Previous: psb_amx Global -   Contents

    @@ -94,7 +94,7 @@ scalar, or a rank 1 or 2 array. Type, kind, rank and size must agree on all pro
    root
    Process to hold the final value, or $-1$ to make it available on all processes.
    @@ -109,7 +109,7 @@ Specified as: an integer value $-1<= root <= np-1$, default -1.
    @@ -151,26 +151,26 @@ Type, kind, rank and size must agree on all processes.
    - next - up - previous - contents
    - Next: psb_snd Send - Up: Next: psb_nrm2 Global + Up: Parallel environment routines - Previous: Previous: psb_amx Global -   Contents
    diff --git a/docs/html/node114.html b/docs/html/node114.html index efbd8b82..8705ed4b 100644 --- a/docs/html/node114.html +++ b/docs/html/node114.html @@ -3,8 +3,8 @@ -psb_snd -- Send data - +psb_nrm2 -- Global 2-norm reduction + @@ -23,45 +23,46 @@
    - next - up - previous - contents
    - Next: psb_rcv Receive - Up: Next: psb_snd Send + Up: Parallel environment routines - Previous: Previous: psb_amn Global -   Contents

    -psb_snd -- Send data +psb_nrm2 -- Global 2-norm reduction 

    -call psb_snd(icontxt, dat, dst, m)
+call psb_nrm2(icontxt, dat, root)

    -This subroutine sends a packet of data to a destination. +This subroutine implements a 2-norm value reduction +operation based on the underlying communication library.

    Type:
    -
    Synchronous: see usage notes. +
    Synchronous.
    On Entry
    @@ -79,65 +80,38 @@ Intent: in. Specified as: an integer variable.
    dat
    -
    The data to be sent. +
    The local contribution to the global minimum.
    Scope: local.
    Type: required.
    -Intent: in. +Intent: inout.
    -Specified as: an integer, real or complex variable, which may be a -scalar, or a rank 1 or 2 array, or a character or logical scalar. Type, kind and rank must agree on sender and receiver process; if $m$ is -not specified, size must agree as well. +Specified as: a real variable, which may be a +scalar, or a rank 1 array. Kind, rank and size must agree on all processes.
    -
    dst
    -
    Destination process. -
    -Scope: global. -
    -Type: required. -
    -Intent: in. -
    -Specified as: an integer value -$0<= dst <= np-1$. -
    -
    m
    -
    Number of rows. +
    root
    +
    Process to hold the final value, or $-1$ to make it available + on all processes.
    Scope: global.
    -Type: Optional. +Type: optional.
    Intent: in.
    Specified as: an integer value $0<= m <= size(dat,1)$. -
    -When $dat$ is a rank 2 array, specifies the number of rows to be sent -independently of the leading dimension $size(dat,1)$; must have the -same value on sending and receiving processes. -
    + ALT="$-1<= root <= np-1$">, default -1. +

    @@ -145,17 +119,57 @@ same value on sending and receiving processes.

    On Return
    +
    dat
    +
    On destination process(es), the result of the 2-norm reduction. +
    +Scope: global. +
    +Type: required. +
    +Intent: inout. +
    +Specified as: a real variable, which may be a +scalar, or a rank 1 array. +
    +Kind, rank and size must agree on all processes. +

    Notes

      -
    1. This subroutine implies a synchronization, but only between the - calling process and the destination process This reduction is appropriate to compute the results of multiple + (local) NRM2 operations at the same time. +
      2. +
    2. Denoting by the value of the variable $dst$. + ALT="$dat$"> on process + $i$, the output $res$ is equivalent to the computation of +

      +
      + + + +
      +
      +

      +with care taken to avoid unnecessary overflow. +
      3. +
    3. The dat argument is both input and output, and its + value may be changed even on processes different from the final + result destination.
    @@ -163,26 +177,26 @@ same value on sending and receiving processes.
    - next - up - previous - contents
    - Next: psb_rcv Receive - Up: Next: psb_snd Send + Up: Parallel environment routines - Previous: Previous: psb_amn Global -   Contents
    diff --git a/docs/html/node115.html b/docs/html/node115.html index fe5ecb79..6cec0e29 100644 --- a/docs/html/node115.html +++ b/docs/html/node115.html @@ -3,8 +3,8 @@ -psb_rcv -- Receive data - +psb_snd -- Send data + @@ -14,6 +14,7 @@ + @@ -22,45 +23,45 @@
    - next - up - previous - contents
    - Next: Error handling - Up: Next: psb_rcv Receive + Up: Parallel environment routines - Previous: psb_snd Send -   Previous: psb_nrm2 Global +   Contents

    -psb_rcv -- Receive data +psb_snd -- Send data 

    -call psb_rcv(icontxt, dat, src, m)
+call psb_snd(icontxt, dat, dst, m)

    -This subroutine receives a packet of data to a destination. +This subroutine sends a packet of data to a destination.

    Type:
    -
    Synchronous: see usage notes. +
    Synchronous: see usage notes.
    On Entry
    @@ -77,8 +78,24 @@ Intent: in.
    Specified as: an integer variable.
    -
    src
    -
    Source process. +
    dat
    +
    The data to be sent. +
    +Scope: local. +
    +Type: required. +
    +Intent: in. +
    +Specified as: an integer, real or complex variable, which may be a +scalar, or a rank 1 or 2 array, or a character or logical scalar. Type, kind and rank must agree on sender and receiver process; if $m$ is +not specified, size must agree as well. +
    +
    dst
    +
    Destination process.
    Scope: global.
    @@ -87,12 +104,12 @@ Type: required. Intent: in.
    Specified as: an integer value $0<= src <= np-1$. + WIDTH="145" HEIGHT="30" ALIGN="MIDDLE" BORDER="0" + SRC="img141.png" + ALT="$0<= dst <= np-1$">.
    m
    Number of rows. @@ -108,16 +125,16 @@ Specified as: an integer value $0<= m <= size(dat,1)$.
    When $dat$ is a rank 2 array, specifies the number of rows to be sent independently of the leading dimension $size(dat,1)$; must have the same value on sending and receiving processes.
    @@ -128,22 +145,6 @@ same value on sending and receiving processes.
    On Return
    -
    dat
    -
    The data to be received. -
    -Scope: local. -
    -Type: required. -
    -Intent: inout. -
    -Specified as: an integer, real or complex variable, which may be a -scalar, or a rank 1 or 2 array, or a character or logical scalar. Type, kind and rank must agree on sender and receiver process; if $m$ is -not specified, size must agree as well. -

    @@ -151,10 +152,10 @@ not specified, size must agree as well.

    1. This subroutine implies a synchronization, but only between the - calling process and the source process $src$. + calling process and the destination process $dst$.
    @@ -162,26 +163,26 @@ not specified, size must agree as well.
    - next - up - previous - contents
    - Next: Error handling - Up: Next: psb_rcv Receive + Up: Parallel environment routines - Previous: psb_snd Send -   Previous: psb_nrm2 Global +   Contents
    diff --git a/docs/html/node116.html b/docs/html/node116.html index 722847c9..36fffd05 100644 --- a/docs/html/node116.html +++ b/docs/html/node116.html @@ -3,8 +3,8 @@ -Error handling - +psb_rcv -- Receive data + @@ -14,327 +14,174 @@ - - - + +
    - next - + up - previous - contents
    - Next: Utilities - Up: userhtml - Previous: psb_rcv Receive -   Next: Error handling + Up: Parallel environment routines + Previous: psb_snd Send +   Contents

    -

    -Error handling -

    - -

    -The PSBLAS library error handling policy has been completely rewritten -in version 2.0. The idea behind the design of this new error handling -strategy is to keep error messages on a stack allowing the user to -trace back up to the point where the first error message has been -generated. Every routine in the PSBLAS-2.0 library has, as last -non-optional argument, an integer info variable; whenever, -inside the routine, an error is detected, this variable is set to a -value corresponding to a specific error code. Then this error code is -also pushed on the error stack and then either control is returned to -the caller routine or the execution is aborted, depending on the users -choice. At the time when the execution is aborted, an error message is -printed on standard output with a level of verbosity than can be -chosen by the user. If the execution is not aborted, then, the caller -routine checks the value returned in the info variable and, if -not zero, an error condition is raised. This process continues on all the -levels of nested calls until the level where the user decides to abort -the program execution. - -

    -Figure 9 shows the layout of a generic psb_foo -routine with respect to the PSBLAS-2.0 error handling policy. It is -possible to see how, whenever an error condition is detected, the -info variable is set to the corresponding error code which is, -then, pushed on top of the stack by means of the -psb_errpush. An error condition may be directly detected inside -a routine or indirectly checking the error code returned returned by a -called routine. Whenever an error is encountered, after it has been -pushed on stack, the program execution skips to a point where the -error condition is handled; the error condition is handled either by -returning control to the caller routine or by calling the -psb\_error routine which prints the content of the error stack -and aborts the program execution, according to the choice made by the -user with psb_set_erraction. The default is to print the error -and terminate the program, but the user may choose to handle the error -explicitly. - -

    - -

    - - - -
    Figure 9: -The layout of a generic psb_foo - routine with respect to PSBLAS-2.0 error handling policy.
    -
    - -
    - -\fbox{\TheSbox} -
    -
    - -

    -Figure 10 reports a sample error message generated by -the PSBLAS-2.0 library. This error has been generated by the fact that -the user has chosen the invalid “FOO” storage format to represent -the sparse matrix. From this error message it is possible to see that -the error has been detected inside the psb_cest subroutine -called by psb_spasb ... by process 0 (i.e. the root process). - -

    - -

    - - - -
    Figure 10: -A sample PSBLAS-2.0 error - message. Process 0 detected an error condition inside the psb_cest subroutine
    -
    - -
    - -\fbox{\TheSbox} -
    -
    - -

    -ifstarsubroutinesubroutinepsb_errpushPushes an error code onto the error - stack +

    +psb_rcv -- Receive data +

    -
    -\begin{lstlisting} -call psb_errpush(err_c, r_name, i_err, a_err) -\end{lstlisting} -
    +

    +call psb_rcv(icontxt, dat, src, m)
+

    +This subroutine receives a packet of data to a destination.

    Type:
    -
    Asynchronous. +
    Synchronous: see usage notes.
    -
    On Entry
    +
    On Entry
    -
    err_c
    -
    the error code +
    icontxt
    +
    the communication context identifying the virtual + parallel machine.
    -Scope: local +Scope: global.
    -Type: required +Type: required.
    Intent: in.
    -Specified as: an integer. +Specified as: an integer variable.
    -
    r_name
    -
    the soutine where the error has been caught. +
    src
    +
    Source process.
    -Scope: local +Scope: global.
    -Type: required +Type: required.
    Intent: in.
    -Specified as: a string. -
    -
    i_err
    -
    addional info for error code -
    -Scope: local -
    -Type: optional -
    -Specified as: an integer array -
    -
    a_err
    -
    addional info for error code -
    -Scope: local -
    -Type: optional -
    -Specified as: a string. -
    -
    - -

    -ifstarsubroutinesubroutinepsb_errorPrints the error stack content and aborts - execution - -

    -
    - +\begin{lstlisting} -call psb_error(icontxt) -\end{lstlisting} -
    - -

    -

    -
    Type:
    -
    Asynchronous. -
    -
    On Entry
    -
    -
    -
    icontxt
    -
    the communication context. + ALT="$0<= src <= np-1$">. +
    +
    m
    +
    Number of rows.
    -Scope: global +Scope: global.
    -Type: optional +Type: Optional.
    Intent: in.
    -Specified as: an integer. +Specified as: an integer value +$0<= m <= size(dat,1)$. +
    +When $dat$ is a rank 2 array, specifies the number of rows to be sent +independently of the leading dimension $size(dat,1)$; must have the +same value on sending and receiving processes.
    -

    -ifstarsubroutinesubroutinepsb_set_errverbositySets the verbosity of error - messages. - -

    -
    -\begin{lstlisting} -call psb_set_errverbosity(v) -\end{lstlisting} -
    -

    -
    Type:
    -
    Asynchronous. -
    -
    On Entry
    +
    On Return
    -
    v
    -
    the verbosity level +
    dat
    +
    The data to be received.
    -Scope: global +Scope: local.
    -Type: required +Type: required.
    -Intent: in. +Intent: inout.
    -Specified as: an integer. +Specified as: an integer, real or complex variable, which may be a +scalar, or a rank 1 or 2 array, or a character or logical scalar. Type, kind and rank must agree on sender and receiver process; if $m$ is +not specified, size must agree as well.

    -ifstarsubroutinesubroutinepsb_set_erractionSet the type of action to be - taken upon error condition. - -

    -
    -\begin{lstlisting} -call psb_set_erraction(err_act) -\end{lstlisting} -
    +Notes -

    -

    -
    Type:
    -
    Asynchronous. -
    -
    On Entry
    -
    -
    -
    err_act
    -
    the type of action. -
    -Scope: global -
    -Type: required -
    -Intent: in. -
    -Specified as: an integer. Possible values: psb_act_ret, -psb_act_abort. -
    -
    +
      +
    1. This subroutine implies a synchronization, but only between the + calling process and the source process $src$. +
      2. +

    - next - + up - previous - contents
    - Next: Utilities - Up: userhtml - Previous: psb_rcv Receive -   Next: Error handling + Up: Parallel environment routines + Previous: psb_snd Send +   Contents
    diff --git a/docs/html/node117.html b/docs/html/node117.html index 6d648c85..0372bfcb 100644 --- a/docs/html/node117.html +++ b/docs/html/node117.html @@ -3,8 +3,8 @@ -Utilities - +Error handling + @@ -14,8 +14,8 @@ - - + + @@ -23,69 +23,320 @@
    - next - up - previous - contents
    - Next: hb_read Read - Up: Next: Utilities + Up: userhtml - Previous: Error handling -   Previous: psb_rcv Receive +   Contents

    -

    - -
    -Utilities +

    +Error handling

    -We have some utilities available for input and output of -sparse matrices; the interfaces to these routines are available in the -module psb_util_mod. - -

    -

    - -Subsections - - - -
    +The PSBLAS library error handling policy has been completely rewritten +in version 2.0. The idea behind the design of this new error handling +strategy is to keep error messages on a stack allowing the user to +trace back up to the point where the first error message has been +generated. Every routine in the PSBLAS-2.0 library has, as last +non-optional argument, an integer info variable; whenever, +inside the routine, an error is detected, this variable is set to a +value corresponding to a specific error code. Then this error code is +also pushed on the error stack and then either control is returned to +the caller routine or the execution is aborted, depending on the users +choice. At the time when the execution is aborted, an error message is +printed on standard output with a level of verbosity than can be +chosen by the user. If the execution is not aborted, then, the caller +routine checks the value returned in the info variable and, if +not zero, an error condition is raised. This process continues on all the +levels of nested calls until the level where the user decides to abort +the program execution. + +

    +Figure 9 shows the layout of a generic psb_foo +routine with respect to the PSBLAS-2.0 error handling policy. It is +possible to see how, whenever an error condition is detected, the +info variable is set to the corresponding error code which is, +then, pushed on top of the stack by means of the +psb_errpush. An error condition may be directly detected inside +a routine or indirectly checking the error code returned returned by a +called routine. Whenever an error is encountered, after it has been +pushed on stack, the program execution skips to a point where the +error condition is handled; the error condition is handled either by +returning control to the caller routine or by calling the +psb\_error routine which prints the content of the error stack +and aborts the program execution, according to the choice made by the +user with psb_set_erraction. The default is to print the error +and terminate the program, but the user may choose to handle the error +explicitly. + +

    + +

    + + + +
    Figure 9: +The layout of a generic psb_foo + routine with respect to PSBLAS-2.0 error handling policy.
    +
    + +
    + +\fbox{\TheSbox} +
    +
    + +

    +Figure 10 reports a sample error message generated by +the PSBLAS-2.0 library. This error has been generated by the fact that +the user has chosen the invalid “FOO” storage format to represent +the sparse matrix. From this error message it is possible to see that +the error has been detected inside the psb_cest subroutine +called by psb_spasb ... by process 0 (i.e. the root process). + +

    + +

    + + + +
    Figure 10: +A sample PSBLAS-2.0 error + message. Process 0 detected an error condition inside the psb_cest subroutine
    +
    + +
    + +\fbox{\TheSbox} +
    +
    + +

    +ifstarsubroutinesubroutinepsb_errpushPushes an error code onto the error + stack + +

    +
    +\begin{lstlisting} +call psb_errpush(err_c, r_name, i_err, a_err) +\end{lstlisting} +
    + +

    +

    +
    Type:
    +
    Asynchronous. +
    +
    On Entry
    +
    +
    +
    err_c
    +
    the error code +
    +Scope: local +
    +Type: required +
    +Intent: in. +
    +Specified as: an integer. +
    +
    r_name
    +
    the soutine where the error has been caught. +
    +Scope: local +
    +Type: required +
    +Intent: in. +
    +Specified as: a string. +
    +
    i_err
    +
    addional info for error code +
    +Scope: local +
    +Type: optional +
    +Specified as: an integer array +
    +
    a_err
    +
    addional info for error code +
    +Scope: local +
    +Type: optional +
    +Specified as: a string. +
    +
    + +

    +ifstarsubroutinesubroutinepsb_errorPrints the error stack content and aborts + execution + +

    +
    +\begin{lstlisting} +call psb_error(icontxt) +\end{lstlisting} +
    + +

    +

    +
    Type:
    +
    Asynchronous. +
    +
    On Entry
    +
    +
    +
    icontxt
    +
    the communication context. +
    +Scope: global +
    +Type: optional +
    +Intent: in. +
    +Specified as: an integer. +
    +
    + +

    +ifstarsubroutinesubroutinepsb_set_errverbositySets the verbosity of error + messages. + +

    +
    +\begin{lstlisting} +call psb_set_errverbosity(v) +\end{lstlisting} +
    + +

    +

    +
    Type:
    +
    Asynchronous. +
    +
    On Entry
    +
    +
    +
    v
    +
    the verbosity level +
    +Scope: global +
    +Type: required +
    +Intent: in. +
    +Specified as: an integer. +
    +
    + +

    +ifstarsubroutinesubroutinepsb_set_erractionSet the type of action to be + taken upon error condition. + +

    +
    +\begin{lstlisting} +call psb_set_erraction(err_act) +\end{lstlisting} +
    + +

    +

    +
    Type:
    +
    Asynchronous. +
    +
    On Entry
    +
    +
    +
    err_act
    +
    the type of action. +
    +Scope: global +
    +Type: required +
    +Intent: in. +
    +Specified as: an integer. Possible values: psb_act_ret, +psb_act_abort. +
    +
    + +

    + +

    + + +next + +up + +previous + +contents +
    + Next: Utilities + Up: userhtml + Previous: psb_rcv Receive +   Contents
    + diff --git a/docs/html/node118.html b/docs/html/node118.html index 599c2e06..51ceff35 100644 --- a/docs/html/node118.html +++ b/docs/html/node118.html @@ -3,8 +3,8 @@ -hb_read -- Read a sparse matrix from a file in the Harwell-Boeing format - +Utilities + @@ -14,146 +14,78 @@ - + - +
    - next - + up - previous - contents
    - Next: hb_write Write - Up: Utilities - Previous: Utilities -   Next: hb_read Read + Up: userhtml + Previous: Error handling +   Contents

    -

    - hb_read -- Read a sparse matrix from a file in the - Harwell-Boeing format -

    - -

    -
    -\begin{lstlisting} -call hb_read(a, iret, iunit, filename, b, mtitle) -\end{lstlisting} +

    +
    +Utilities +

    -

    -
    Type:
    -
    Asynchronous. -
    -
    On Entry
    -
    -
    -
    filename
    -
    The name of the file to be read. -
    -Type:optional. -
    -Specified as: a character variable containing a valid file name, or --, in which case the default input unit 5 (i.e. standard input -in Unix jargon) is used. Default: -. -
    -
    iunit
    -
    The Fortran file unit number. -
    -Type:optional. -
    -Specified as: an integer value. Only meaningful if filename is not -. -
    -
    - -

    -

    -
    On Return
    -
    -
    -
    a
    -
    the sparse matrix read from file. -
    -Type:required. -
    -Specified as: a structured data of type spdatapsb_Tspmat_type. -
    -
    b
    -
    Rigth hand side(s). -
    -Type: Optional -
    -An array of type real or complex, rank 2 and having the ALLOCATABLE -attribute; will be allocated and filled in if the input file contains -a right hand side, otherwise will be left in the UNALLOCATED state. -
    -
    mtitle
    -
    Matrix title. -
    -Type: Optional -
    -A charachter variable of length 72 holding a copy of the -matrix title as specified by the Harwell-Boeing format and contained -in the input file. -
    -
    iret
    -
    Error code. -
    -Type: required -
    -An integer value; 0 means no error has been detected. -
    -
    +We have some utilities available for input and output of +sparse matrices; the interfaces to these routines are available in the +module psb_util_mod.

    +

    + +Subsections -
    - - -next - -up - -previous - -contents -
    - Next: hb_write Write - Up: Utilities - Previous: Utilities -   Contents
    - + + +
    diff --git a/docs/html/node119.html b/docs/html/node119.html index cd4e702c..6610f191 100644 --- a/docs/html/node119.html +++ b/docs/html/node119.html @@ -3,8 +3,8 @@ -hb_write -- Write a sparse matrix to a file in the Harwell-Boeing format - +hb_read -- Read a sparse matrix from a file in the Harwell-Boeing format + @@ -16,50 +16,50 @@ - +
    - next - + up - previous - contents
    - Next: mm_mat_read Read - Up: Utilities - Previous: hb_read Read -   Next: hb_write Write + Up: Utilities + Previous: Utilities +   Contents

    -

    -hb_write -- Write a sparse matrix to a file - in the Harwell-Boeing format +

    + hb_read -- Read a sparse matrix from a file in the + Harwell-Boeing format


    \begin{lstlisting} -call hb_write(a, iret, iunit, filename, key, rhs, mtitle) +call hb_read(a, iret, iunit, filename, b, mtitle) \end{lstlisting}
    @@ -71,29 +71,13 @@ call hb_write(a, iret, iunit, filename, key, rhs, mtitle)

    On Entry
    -
    a
    -
    the sparse matrix to be written. -
    -Type:required. -
    -Specified as: a structured data of type spdatapsb_Tspmat_type. -
    -
    b
    -
    Rigth hand side. -
    -Type: Optional -
    -An array of type real or complex, rank 1 and having the ALLOCATABLE -attribute; will be allocated and filled in if the input file contains -a right hand side. -
    filename
    -
    The name of the file to be written to. +
    The name of the file to be read.
    Type:optional.
    Specified as: a character variable containing a valid file name, or --, in which case the default output unit 6 (i.e. standard output +-, in which case the default input unit 5 (i.e. standard input in Unix jargon) is used. Default: -.
    iunit
    @@ -103,30 +87,37 @@ Type:optional.
    Specified as: an integer value. Only meaningful if filename is not -. -
    key
    -
    Matrix key. + + +

    +

    +
    On Return
    +
    +
    +
    a
    +
    the sparse matrix read from file. +
    +Type:required. +
    +Specified as: a structured data of type spdatapsb_Tspmat_type. +
    +
    b
    +
    Rigth hand side(s).
    Type: Optional
    -A charachter variable of length 8 holding the -matrix key as specified by the Harwell-Boeing format and to be -written to file. +An array of type real or complex, rank 2 and having the ALLOCATABLE +attribute; will be allocated and filled in if the input file contains +a right hand side, otherwise will be left in the UNALLOCATED state.
    mtitle
    Matrix title.
    Type: Optional
    -A charachter variable of length 72 holding the -matrix title as specified by the Harwell-Boeing format and to be -written to file. -
    -
    - -

    -

    -
    On Return
    -
    +A charachter variable of length 72 holding a copy of the +matrix title as specified by the Harwell-Boeing format and contained +in the input file.
    iret
    Error code. @@ -141,26 +132,26 @@ An integer value; 0 means no error has been detected.
    - next - + up - previous - contents
    - Next: mm_mat_read Read - Up: Utilities - Previous: hb_read Read -   Next: hb_write Write + Up: Utilities + Previous: Utilities +   Contents
    diff --git a/docs/html/node12.html b/docs/html/node12.html index 3b5d602d..c6856edc 100644 --- a/docs/html/node12.html +++ b/docs/html/node12.html @@ -23,26 +23,26 @@
    - next - up - previous - contents
    - Next: Next: get_local_cols Get - Up: Up: Descriptor data structure - Previous: Previous: Descriptor Methods -   Contents

    diff --git a/docs/html/node120.html b/docs/html/node120.html index d3692040..b796086e 100644 --- a/docs/html/node120.html +++ b/docs/html/node120.html @@ -3,8 +3,8 @@ -mm_mat_read -- Read a sparse matrix from a file in the MatrixMarket format - +hb_write -- Write a sparse matrix to a file in the Harwell-Boeing format + @@ -16,50 +16,50 @@ - +
    - next - + up - previous - contents
    - Next: mm_array_read Read - Up: Utilities - Previous: hb_write Write -   Next: mm_mat_read Read + Up: Utilities + Previous: hb_read Read +   Contents

    -

    -mm_mat_read -- Read a sparse matrix from a - file in the MatrixMarket format +

    +hb_write -- Write a sparse matrix to a file + in the Harwell-Boeing format


    \begin{lstlisting} -call mm_mat_read(a, iret, iunit, filename) +call hb_write(a, iret, iunit, filename, key, rhs, mtitle) \end{lstlisting}
    @@ -71,13 +71,29 @@ call mm_mat_read(a, iret, iunit, filename)

    On Entry
    +
    a
    +
    the sparse matrix to be written. +
    +Type:required. +
    +Specified as: a structured data of type spdatapsb_Tspmat_type. +
    +
    b
    +
    Rigth hand side. +
    +Type: Optional +
    +An array of type real or complex, rank 1 and having the ALLOCATABLE +attribute; will be allocated and filled in if the input file contains +a right hand side. +
    filename
    -
    The name of the file to be read. +
    The name of the file to be written to.
    Type:optional.
    Specified as: a character variable containing a valid file name, or --, in which case the default input unit 5 (i.e. standard input +-, in which case the default output unit 6 (i.e. standard output in Unix jargon) is used. Default: -.
    iunit
    @@ -87,6 +103,24 @@ Type:optional.
    Specified as: an integer value. Only meaningful if filename is not -.
    +
    key
    +
    Matrix key. +
    +Type: Optional +
    +A charachter variable of length 8 holding the +matrix key as specified by the Harwell-Boeing format and to be +written to file. +
    +
    mtitle
    +
    Matrix title. +
    +Type: Optional +
    +A charachter variable of length 72 holding the +matrix title as specified by the Harwell-Boeing format and to be +written to file. +

    @@ -94,13 +128,6 @@ Specified as: an integer value. Only meaningful if filename is not -On Return

    -
    a
    -
    the sparse matrix read from file. -
    -Type:required. -
    -Specified as: a structured data of type spdatapsb_Tspmat_type. -
    iret
    Error code.
    @@ -111,7 +138,31 @@ An integer value; 0 means no error has been detected.

    -

    + +
    + + +next + +up + +previous + +contents +
    + Next: mm_mat_read Read + Up: Utilities + Previous: hb_read Read +   Contents
    + diff --git a/docs/html/node121.html b/docs/html/node121.html index dacbb994..52f273d2 100644 --- a/docs/html/node121.html +++ b/docs/html/node121.html @@ -3,8 +3,8 @@ -mm_array_read -- Read a dense array from a file in the MatrixMarket format - +mm_mat_read -- Read a sparse matrix from a file in the MatrixMarket format + @@ -16,50 +16,50 @@ - +
    - next - + up - previous - contents
    - Next: mm_mat_write Write - Up: Utilities - Previous: mm_mat_read Read -   Next: mm_array_read Read + Up: Utilities + Previous: hb_write Write +   Contents

    -

    -mm_array_read -- Read a dense array from a +

    +mm_mat_read -- Read a sparse matrix from a file in the MatrixMarket format


    \begin{lstlisting} -call mm_array_read(b, iret, iunit, filename) +call mm_mat_read(a, iret, iunit, filename) \end{lstlisting}
    @@ -94,14 +94,12 @@ Specified as: an integer value. Only meaningful if filename is not -On Return

    -
    b
    -
    Rigth hand side(s). +
    a
    +
    the sparse matrix read from file.
    -Type: required +Type:required.
    -An array of type real or complex, rank 1 or 2 and having the ALLOCATABLE -attribute; will be allocated and filled in if the input file contains -a right hand side, otherwise will be left in the UNALLOCATED state. +Specified as: a structured data of type spdatapsb_Tspmat_type.
    iret
    Error code. diff --git a/docs/html/node122.html b/docs/html/node122.html index 27dc3d18..557f80d0 100644 --- a/docs/html/node122.html +++ b/docs/html/node122.html @@ -3,8 +3,8 @@ -mm_mat_write -- Write a sparse matrix to a file in the MatrixMarket format - +mm_array_read -- Read a dense array from a file in the MatrixMarket format + @@ -16,52 +16,54 @@ - +
    - next - + up - previous - contents
    - Next: mm_array_write Write - Up: Utilities - Previous: mm_array_read Read -   Next: mm_mat_write Write + Up: Utilities + Previous: mm_mat_read Read +   Contents

    -

    -mm_mat_write -- Write a sparse matrix to a +

    +mm_array_read -- Read a dense array from a file in the MatrixMarket format


    \begin{lstlisting} -call mm_mat_write(a, mtitle, iret, iunit, filename) +call mm_array_read(b, iret, iunit, filename) \end{lstlisting}
    + +

    Type:
    Asynchronous. @@ -69,28 +71,13 @@ call mm_mat_write(a, mtitle, iret, iunit, filename)
    On Entry
    -
    a
    -
    the sparse matrix to be written. -
    -Type:required. -
    -Specified as: a structured data of type spdatapsb_Tspmat_type. -
    -
    mtitle
    -
    Matrix title. -
    -Type: required -
    -A charachter variable holding a descriptive title for the matrix to be - written to file. -
    filename
    -
    The name of the file to be written to. +
    The name of the file to be read.
    Type:optional.
    Specified as: a character variable containing a valid file name, or --, in which case the default output unit 6 (i.e. standard output +-, in which case the default input unit 5 (i.e. standard input in Unix jargon) is used. Default: -.
    iunit
    @@ -107,6 +94,15 @@ Specified as: an integer value. Only meaningful if filename is not -On Return
    +
    b
    +
    Rigth hand side(s). +
    +Type: required +
    +An array of type real or complex, rank 1 or 2 and having the ALLOCATABLE +attribute; will be allocated and filled in if the input file contains +a right hand side, otherwise will be left in the UNALLOCATED state. +
    iret
    Error code.
    diff --git a/docs/html/node123.html b/docs/html/node123.html index 1dc181f9..bcd55f5e 100644 --- a/docs/html/node123.html +++ b/docs/html/node123.html @@ -3,8 +3,8 @@ -mm_array_write -- Write a dense array from a file in the MatrixMarket format - +mm_mat_write -- Write a sparse matrix to a file in the MatrixMarket format + @@ -14,55 +14,54 @@ + - +
    - next - + up - previous - contents
    - Next: Preconditioner routines - Up: Utilities - Previous: mm_mat_write Write -   Next: mm_array_write Write + Up: Utilities + Previous: mm_array_read Read +   Contents

    -

    -mm_array_write -- Write a dense array from a +

    +mm_mat_write -- Write a sparse matrix to a file in the MatrixMarket format


    \begin{lstlisting} -call mm_array_write(b, iret, iunit, filename) +call mm_mat_write(a, mtitle, iret, iunit, filename) \end{lstlisting}
    - -

    Type:
    Asynchronous. @@ -70,19 +69,28 @@ call mm_array_write(b, iret, iunit, filename)
    On Entry
    -
    b
    -
    Rigth hand side(s). +
    a
    +
    the sparse matrix to be written. +
    +Type:required. +
    +Specified as: a structured data of type spdatapsb_Tspmat_type. +
    +
    mtitle
    +
    Matrix title.
    Type: required
    -An array of type real or complex, rank 1 or 2; will be written..
    +A charachter variable holding a descriptive title for the matrix to be + written to file. +

    filename
    -
    The name of the file to be written. +
    The name of the file to be written to.
    Type:optional.
    Specified as: a character variable containing a valid file name, or --, in which case the default input unit 5 (i.e. standard input +-, in which case the default output unit 6 (i.e. standard output in Unix jargon) is used. Default: -.
    iunit
    diff --git a/docs/html/node124.html b/docs/html/node124.html index 56ba1c09..1ea293a1 100644 --- a/docs/html/node124.html +++ b/docs/html/node124.html @@ -3,8 +3,8 @@ -Preconditioner routines - +mm_array_write -- Write a dense array from a file in the MatrixMarket format + @@ -14,84 +14,101 @@ - - - + +
    - next - + up - previous - contents
    - Next: init Initialize - Up: userhtml - Previous: mm_array_write Write -   Next: Preconditioner routines + Up: Utilities + Previous: mm_mat_write Write +   Contents

    -

    - -
    -Preconditioner routines -

    +

    +mm_array_write -- Write a dense array from a + file in the MatrixMarket format +

    -The base PSBLAS library contains the implementation of two simple -preconditioning techniques: +
    +\begin{lstlisting} +call mm_array_write(b, iret, iunit, filename) +\end{lstlisting} +
    -

      -
    • Diagonal Scaling -
      • -
    • Block Jacobi with ILU(0) factorization -
      • -
    -The supporting data type and subroutine interfaces are defined in the -module psb_prec_mod. -The old interfaces psb_precinit and psb_precbld are still supported for -backward compatibility +

    +

    +
    Type:
    +
    Asynchronous. +
    +
    On Entry
    +
    +
    +
    b
    +
    Rigth hand side(s). +
    +Type: required +
    +An array of type real or complex, rank 1 or 2; will be written..
    +
    filename
    +
    The name of the file to be written. +
    +Type:optional. +
    +Specified as: a character variable containing a valid file name, or +-, in which case the default input unit 5 (i.e. standard input +in Unix jargon) is used. Default: -. +
    +
    iunit
    +
    The Fortran file unit number. +
    +Type:optional. +
    +Specified as: an integer value. Only meaningful if filename is not -. +
    +

    -

    - -Subsections +
    +
    On Return
    +
    +
    +
    iret
    +
    Error code. +
    +Type: required +
    +An integer value; 0 means no error has been detected. +
    +
    - - +


    diff --git a/docs/html/node125.html b/docs/html/node125.html index ff0b640a..8457a092 100644 --- a/docs/html/node125.html +++ b/docs/html/node125.html @@ -3,8 +3,8 @@ -init -- Initialize a preconditioner - +Preconditioner routines + @@ -14,126 +14,85 @@ - - - + + +
    - next - + up - previous - contents
    - Next: build Builds - Up: Preconditioner routines - Previous: Preconditioner routines -   Next: init Initialize + Up: userhtml + Previous: mm_array_write Write +   Contents

    -

    -init -- Initialize a preconditioner -

    +

    + +
    +Preconditioner routines +

    -

    -call prec%init(ptype, info)
-
    +The base PSBLAS library contains the implementation of two simple +preconditioning techniques: -

    -

    -
    Type:
    -
    Asynchronous. -
    -
    On Entry
    -
    -
    -
    ptype
    -
    the type of preconditioner. -Scope: global -
    -Type: required -
    -Intent: in. -
    -Specified as: a character string, see usage notes. -
    -
    On Exit
    -

    -

    -
    prec
    -
    Scope: local -
    -Type: required -
    -Intent: inout. -
    -Specified as: a preconditioner data structure precdatapsb_prec_type. -
    -
    info
    -
    Scope: global -
    -Type: required -
    -Intent: out. -
    -Error code: if no error, 0 is returned. -
    -
    -Notes -Legal inputs to this subroutine are interpreted depending on the -$ptype$ string as follows4: -
    -
    NONE
    -
    No preconditioning, i.e. the preconditioner is just a copy - operator. -
    -
    DIAG
    -
    Diagonal scaling; each entry of the input vector is - multiplied by the reciprocal of the sum of the absolute values of - the coefficients in the corresponding row of matrix $A$; -
    -
    BJAC
    -
    Precondition by a factorization of the - block-diagonal of matrix $A$, where block boundaries are determined - by the data allocation boundaries for each process; requires no - communication. Only the incomplete factorization $ILU(0)$ is - currently implemented. -
    -
    +
      +
    • Diagonal Scaling +
      • +
    • Block Jacobi with ILU(0) factorization +
      • +
    +The supporting data type and subroutine interfaces are defined in the +module psb_prec_mod. +The old interfaces psb_precinit and psb_precbld are still supported for +backward compatibility


    + +Subsections + + + +
    diff --git a/docs/html/node126.html b/docs/html/node126.html index deaa93f6..911c5042 100644 --- a/docs/html/node126.html +++ b/docs/html/node126.html @@ -3,8 +3,8 @@ -build -- Builds a preconditioner - +init -- Initialize a preconditioner + @@ -16,179 +16,124 @@ - +
    - next - + up - previous - contents
    - Next: apply Preconditioner - Up: Preconditioner routines - Previous: init Initialize -   Next: build Builds + Up: Preconditioner routines + Previous: Preconditioner routines +   Contents

    -

    -build -- Builds a preconditioner +

    +init -- Initialize a preconditioner 

    -call prec%build(a, desc_a, info[,amold,vmold,imold])
+call prec%init(ptype, info)

    Type:
    -
    Synchronous. +
    Asynchronous.
    On Entry
    -
    a
    -
    the system sparse matrix. -Scope: local +
    ptype
    +
    the type of preconditioner. +Scope: global
    Type: required
    -Intent: in, target. +Intent: in.
    -Specified as: a sparse matrix data structure spdatapsb_Tspmat_type. +Specified as: a character string, see usage notes. +
    +
    On Exit
    +

    prec
    -
    the preconditioner. -
    -Scope: local +
    Scope: local
    Type: required
    Intent: inout.
    -Specified as: an already initialized precondtioner data structure precdatapsb_prec_type -
    -
    desc_a
    -
    the problem communication descriptor. -Scope: local -
    -Type: required -
    -Intent: in, target. -
    -Specified as: a communication descriptor data structure descdatapsb_desc_type. +Specified as: a preconditioner data structure precdatapsb_prec_type.
    -
    amold
    -
    The desired dynamic type for the internal matrix storage. -
    -Scope: local. -
    -Type: optional. -
    -Intent: in. -
    -Specified as: an object of a class derived from spbasedatapsb_T_base_sparse_mat. -
    -
    vmold
    -
    The desired dynamic type for the internal vector storage. -
    -Scope: local. -
    -Type: optional. -
    -Intent: in. -
    -Specified as: an object of a class derived from vbasedatapsb_T_base_vect_type. -
    -
    imold
    -
    The desired dynamic type for the internal integer vector storage. -
    -Scope: local. +
    info
    +
    Scope: global
    -Type: optional. +Type: required
    -Intent: in. +Intent: out.
    -Specified as: an object of a class derived from (integer) vbasedatapsb_T_base_vect_type. +Error code: if no error, 0 is returned.
    - -

    +Notes +Legal inputs to this subroutine are interpreted depending on the +$ptype$ string as follows4:

    -
    On Return
    -
    +
    NONE
    +
    No preconditioning, i.e. the preconditioner is just a copy + operator.
    -
    prec
    -
    the preconditioner. -
    -Scope: local -
    -Type: required -
    -Intent: inout. -
    -Specified as: a precondtioner data structure precdatapsb_prec_type -
    -
    info
    -
    Error code. -
    -Scope: local -
    -Type: required -
    -Intent: out. -
    -An integer value; 0 means no error has been detected. +
    DIAG
    +
    Diagonal scaling; each entry of the input vector is + multiplied by the reciprocal of the sum of the absolute values of + the coefficients in the corresponding row of matrix $A$; +
    +
    BJAC
    +
    Precondition by a factorization of the + block-diagonal of matrix $A$, where block boundaries are determined + by the data allocation boundaries for each process; requires no + communication. Only the incomplete factorization $ILU(0)$ is + currently implemented.
    -The amold, vmold and imold arguments may be -employed to interface with special devices, such as GPUs and other -accelerators.

    - -

    - - -next - -up - -previous - -contents -
    - Next: apply Preconditioner - Up: Preconditioner routines - Previous: init Initialize -   Contents
    - +
    diff --git a/docs/html/node127.html b/docs/html/node127.html index 01d2e04c..8b9f0e3d 100644 --- a/docs/html/node127.html +++ b/docs/html/node127.html @@ -3,8 +3,8 @@ -apply -- Preconditioner application routine - +build -- Builds a preconditioner + @@ -16,47 +16,45 @@ - +
    - next - + up - previous - contents
    - Next: descr Prints - Up: Preconditioner routines - Previous: build Builds -   Next: apply Preconditioner + Up: Preconditioner routines + Previous: init Initialize +   Contents

    -

    -apply -- Preconditioner application - routine +

    +build -- Builds a preconditioner 

    -call prec%apply(x,y,desc_a,info,trans,work)
-call prec%apply(x,desc_a,info,trans)
+call prec%build(a, desc_a, info[,amold,vmold,imold])

    @@ -67,54 +65,69 @@ call prec%apply(x,desc_a,info,trans)

    On Entry
    -
    prec
    -
    the preconditioner. +
    a
    +
    the system sparse matrix. Scope: local
    Type: required
    -Intent: in. +Intent: in, target.
    -Specified as: a preconditioner data structure precdatapsb_prec_type. +Specified as: a sparse matrix data structure spdatapsb_Tspmat_type.
    -
    x
    -
    the source vector. +
    prec
    +
    the preconditioner. +
    Scope: local
    Type: required
    Intent: inout.
    -Specified as: a rank one array or an object of type vdatapsb_T_vect_type. -
    +Specified as: an already initialized precondtioner data structure precdatapsb_prec_type +

    desc_a
    -
    the problem communication descriptor. +
    the problem communication descriptor. Scope: local
    Type: required
    +Intent: in, target. +
    +Specified as: a communication descriptor data structure descdatapsb_desc_type. +
    +
    amold
    +
    The desired dynamic type for the internal matrix storage. +
    +Scope: local. +
    +Type: optional. +
    Intent: in.
    -Specified as: a communication data structure descdatapsb_desc_type. +Specified as: an object of a class derived from spbasedatapsb_T_base_sparse_mat.
    -
    trans
    -
    Scope: +
    vmold
    +
    The desired dynamic type for the internal vector storage. +
    +Scope: local.
    -Type: optional +Type: optional.
    Intent: in.
    -Specified as: a character. +Specified as: an object of a class derived from vbasedatapsb_T_base_vect_type.
    -
    work
    -
    an optional work space -Scope: local +
    imold
    +
    The desired dynamic type for the internal integer vector storage.
    -Type: optional +Scope: local.
    -Intent: inout. +Type: optional.
    -Specified as: a double precision array. +Intent: in. +
    +Specified as: an object of a class derived from (integer) vbasedatapsb_T_base_vect_type.
    @@ -123,16 +136,17 @@ Specified as: a double precision array.
    On Return
    -
    y
    -
    the destination vector. +
    prec
    +
    the preconditioner. +
    Scope: local
    Type: required
    Intent: inout.
    -Specified as: a rank one array or an object of type vdatapsb_T_vect_type. -
    +Specified as: a precondtioner data structure precdatapsb_prec_type +

    info
    Error code.
    @@ -145,9 +159,36 @@ Intent: out. An integer value; 0 means no error has been detected.
    +The amold, vmold and imold arguments may be +employed to interface with special devices, such as GPUs and other +accelerators.

    -

    + +
    + + +next + +up + +previous + +contents +
    + Next: apply Preconditioner + Up: Preconditioner routines + Previous: init Initialize +   Contents
    + diff --git a/docs/html/node128.html b/docs/html/node128.html index 1fe31481..8905355e 100644 --- a/docs/html/node128.html +++ b/docs/html/node128.html @@ -3,8 +3,8 @@ -descr -- Prints a description of current preconditioner - +apply -- Preconditioner application routine + @@ -16,53 +16,53 @@ - +
    - next - + up - previous - contents
    - Next: clone clone - Up: Preconditioner routines - Previous: apply Preconditioner -   Next: descr Prints + Up: Preconditioner routines + Previous: build Builds +   Contents

    -

    -descr -- Prints a description of current - preconditioner +

    +apply -- Preconditioner application + routine 

    -call prec%descr()
-call prec%descr(iout, root)
+call prec%apply(x,y,desc_a,info,trans,work)
+call prec%apply(x,desc_a,info,trans)

    Type:
    -
    Asynchronous. +
    Synchronous.
    On Entry
    @@ -77,33 +77,72 @@ Intent: in.
    Specified as: a preconditioner data structure precdatapsb_prec_type.
    -
    iout
    -
    output unit. +
    x
    +
    the source vector. +Scope: local +
    +Type: required +
    +Intent: inout. +
    +Specified as: a rank one array or an object of type vdatapsb_T_vect_type. +
    +
    desc_a
    +
    the problem communication descriptor. Scope: local
    +Type: required +
    +Intent: in. +
    +Specified as: a communication data structure descdatapsb_desc_type. +
    +
    trans
    +
    Scope: +
    Type: optional
    Intent: in.
    -Specified as: an integer number. Default: default output unit. +Specified as: a character.
    -
    root
    -
    Process from which to print +
    work
    +
    an optional work space Scope: local
    Type: optional
    -Intent: in. +Intent: inout. +
    +Specified as: a double precision array. +
    +
    + +

    +

    +
    On Return
    +
    +
    +
    y
    +
    the destination vector. +Scope: local +
    +Type: required +
    +Intent: inout. +
    +Specified as: a rank one array or an object of type vdatapsb_T_vect_type. +
    +
    info
    +
    Error code. +
    +Scope: local +
    +Type: required +
    +Intent: out.
    -Specified as: an integer number between 0 and $np-1$, in which case -the specified process will print the description, or $-1$, in which case -all processes will print. Default: 0. +An integer value; 0 means no error has been detected.
    diff --git a/docs/html/node129.html b/docs/html/node129.html index a2c27a0a..618c5cc7 100644 --- a/docs/html/node129.html +++ b/docs/html/node129.html @@ -3,8 +3,8 @@ -clone -- clone current preconditioner - +descr -- Prints a description of current preconditioner + @@ -16,45 +16,47 @@ - +
    - next - + up - previous - contents
    - Next: free Free - Up: Preconditioner routines - Previous: descr Prints -   Next: clone clone + Up: Preconditioner routines + Previous: apply Preconditioner +   Contents

    -

    -clone -- clone current +

    +descr -- Prints a description of current preconditioner

    +

    -call  prec%clone(precout,info)
+call prec%descr()
+call prec%descr(iout, root)

    @@ -67,21 +69,41 @@ call prec%clone(precout,info)

    prec
    the preconditioner. +Scope: local
    -Scope: local. -
    - - -

    -

    -
    On Return
    -
    +Type: required +
    +Intent: in. +
    +Specified as: a preconditioner data structure precdatapsb_prec_type.
    -
    precout
    -
    A copy of the input object. +
    iout
    +
    output unit. +Scope: local +
    +Type: optional +
    +Intent: in. +
    +Specified as: an integer number. Default: default output unit.
    -
    info
    -
    Return code. +
    root
    +
    Process from which to print +Scope: local +
    +Type: optional +
    +Intent: in. +
    +Specified as: an integer number between 0 and $np-1$, in which case +the specified process will print the description, or $-1$, in which case +all processes will print. Default: 0.
    diff --git a/docs/html/node13.html b/docs/html/node13.html index 41f19a65..f4ae181b 100644 --- a/docs/html/node13.html +++ b/docs/html/node13.html @@ -23,26 +23,26 @@
    - next - up - previous - contents
    - Next: Next: get_global_rows Get - Up: Up: Descriptor data structure - Previous: Previous: get_local_rows Get -   Contents

    diff --git a/docs/html/node130.html b/docs/html/node130.html index 417e761a..ef704e03 100644 --- a/docs/html/node130.html +++ b/docs/html/node130.html @@ -3,8 +3,8 @@ -free -- Free a preconditioner - +clone -- clone current preconditioner + @@ -14,46 +14,47 @@ + - +
    - next - + up - previous - contents
    - Next: Iterative Methods - Up: Preconditioner routines - Previous: clone clone -   Next: free Free + Up: Preconditioner routines + Previous: descr Prints +   Contents

    -

    -free -- Free a preconditioner +

    +clone -- clone current + preconditioner

    -

    -call prec%free(info)
+call  prec%clone(precout,info)

    @@ -68,37 +69,21 @@ call prec%free(info)

    the preconditioner.
    Scope: local. -
    -Type: required -
    -Intent: inout. -
    -Specified as: a preconditioner data structure precdatapsb_prec_type. -
    -
    On Exit
    -

    +

    + + +

    +

    +
    On Return
    +
    -
    prec
    -
    Scope: local -
    -Type: required -
    -Intent: inout. -
    -Specified as: a preconditioner data structure precdatapsb_prec_type. +
    precout
    +
    A copy of the input object.
    info
    -
    Scope: global -
    -Type: required -
    -Intent: out. -
    -Error code: if no error, 0 is returned. +
    Return code.
    -Notes -Releases all internal storage.


    diff --git a/docs/html/node131.html b/docs/html/node131.html index 1426c2f7..6ffd6d59 100644 --- a/docs/html/node131.html +++ b/docs/html/node131.html @@ -3,8 +3,8 @@ -Iterative Methods - +free -- Free a preconditioner + @@ -14,62 +14,93 @@ - - - + +
    - next - + up - previous - contents
    - Next: psb_krylov Krylov - Up: userhtml - Previous: free Free -   Next: Iterative Methods + Up: Preconditioner routines + Previous: clone clone +   Contents

    -

    - -
    -Iterative Methods -

    +

    +free -- Free a preconditioner +

    -In this chapter we provide routines for preconditioners and iterative -methods. The interfaces for Krylov subspace methods are available in -the module psb_krylov_mod. +

    +call prec%free(info)
+

    -

    - -Subsections +
    +
    Type:
    +
    Asynchronous. +
    +
    On Entry
    +
    +
    +
    prec
    +
    the preconditioner. +
    +Scope: local. +
    +Type: required +
    +Intent: inout. +
    +Specified as: a preconditioner data structure precdatapsb_prec_type. +
    +
    On Exit
    +

    +

    +
    prec
    +
    Scope: local +
    +Type: required +
    +Intent: inout. +
    +Specified as: a preconditioner data structure precdatapsb_prec_type. +
    +
    info
    +
    Scope: global +
    +Type: required +
    +Intent: out. +
    +Error code: if no error, 0 is returned. +
    +
    +Notes +Releases all internal storage. - - +


    diff --git a/docs/html/node132.html b/docs/html/node132.html index 0da8f1c1..9e339e70 100644 --- a/docs/html/node132.html +++ b/docs/html/node132.html @@ -3,8 +3,8 @@ -psb_krylov -- Krylov Methods Driver Routine - +Iterative Methods + @@ -14,418 +14,63 @@ - - + + +
    - next - + up - previous - contents
    - Next: Bibliography - Up: Iterative Methods - Previous: Iterative Methods -   Next: psb_krylov Krylov + Up: userhtml + Previous: free Free +   Contents

    -

    -
    -psb_krylov -- Krylov Methods Driver - Routine -

    - -

    -This subroutine is a driver that provides a general interface for all -the Krylov-Subspace family methods implemented in PSBLAS version 2. - -

    -The stopping criterion can take the following values: -

    -
    1
    -
    normwise backward error in the infinity -norm; the iteration is stopped when -

    -
    - - -\begin{displaymath}err = \frac{\Vert r_i\Vert}{(\Vert A\Vert\Vert x_i\Vert+\Vert b\Vert)} < eps \end{displaymath} -
    -
    -

    -
    -
    2
    -
    Relative residual in the 2-norm; the iteration is stopped -when -

    -
    - - -\begin{displaymath}err = \frac{\Vert r_i\Vert}{\Vert b\Vert _2} < eps \end{displaymath} -
    -
    -

    -
    -
    3
    -
    Relative residual reduction in the 2-norm; the iteration is stopped -when -

    -
    - - -\begin{displaymath}err = \frac{\Vert r_i\Vert}{\Vert r_0\Vert _2} < eps \end{displaymath} -
    -
    -

    -
    -
    -The behaviour is controlled by the istop argument (see -later). In the above formulae, $x_i$ is the tentative solution and -$r_i=b-Ax_i$ the corresponding residual at the $i$-th iteration. - -

    -
    -\begin{lstlisting} -call psb_krylov(method,a,prec,b,x,eps,desc_a,info,& -& itmax,iter,err,itrace,irst,istop,cond) -\end{lstlisting} +

    +
    +Iterative Methods +

    -

    -
    Type:
    -
    Synchronous. -
    -
    On Entry
    -
    -
    -
    method
    -
    a string that defines the iterative method to be - used. Supported values are: -
    -
    CG:
    -
    the Conjugate Gradient method; - -
    -
    CGS:
    -
    the Conjugate Gradient Stabilized method; +In this chapter we provide routines for preconditioners and iterative +methods. The interfaces for Krylov subspace methods are available in +the module psb_krylov_mod.

    -

    -
    GCR:
    -
    the Generalized Conjugate Residual method; - -
    -
    FCG:
    -
    the Flexible Conjugate Gradient method5; - -

    -

    -
    BICG:
    -
    the Bi-Conjugate Gradient method; - -
    -
    BICGSTAB:
    -
    the Bi-Conjugate Gradient Stabilized method; - -
    -
    BICGSTABL:
    -
    the Bi-Conjugate Gradient Stabilized method with restarting; - -
    -
    RGMRES:
    -
    the Generalized Minimal Residual method with restarting. - -
    -
    -
    -
    a
    -
    the local portion of global sparse matrix -$A$. -
    -Scope: local -
    -Type: required -
    -Intent: in. -
    -Specified as: a structured data of type spdatapsb_Tspmat_type. -
    -
    prec
    -
    The data structure containing the preconditioner. -
    -Scope: local -
    -Type: required -
    -Intent: in. -
    -Specified as: a structured data of type precdatapsb_prec_type. -
    -
    b
    -
    The RHS vector. -
    -Scope: local -
    -Type: required -
    -Intent: in. -
    -Specified as: a rank one array or an object of type vdatapsb_T_vect_type. -
    -
    x
    -
    The initial guess. -
    -Scope: local -
    -Type: required -
    -Intent: inout. -
    -Specified as: a rank one array or an object of type vdatapsb_T_vect_type. -
    -
    eps
    -
    The stopping tolerance. -
    -Scope: global -
    -Type: required -
    -Intent: in. -
    -Specified as: a real number. -
    -
    desc_a
    -
    contains data structures for communications. -
    -Scope: local -
    -Type: required -
    -Intent: in. -
    -Specified as: a structured data of type descdatapsb_desc_type. -
    -
    itmax
    -
    The maximum number of iterations to perform. -
    -Scope: global -
    -Type: optional -
    -Intent: in. -
    -Default: $itmax = 1000$. -
    -Specified as: an integer variable $itmax \ge 1$. -
    -
    itrace
    -
    If $>0$ print out an informational message about - convergence every $itrace$ iterations. -
    -Scope: global -
    -Type: optional -
    -Intent: in. -
    -
    irst
    -
    An integer specifying the restart parameter. -
    -Scope: global -
    -Type: optional. -
    -Intent: in. -
    -Values: $irst>0$. This is employed for the BiCGSTABL or RGMRES -methods, otherwise it is ignored. - -

    -

    -
    istop
    -
    An integer specifying the stopping criterion. -
    -Scope: global -
    -Type: optional. -
    -Intent: in. -
    -Values: 1: use the normwise backward error, 2: use the scaled 2-norm -of the residual, 3: use the residual reduction in the 2-norm. Default: 2. -
    -
    On Return
    -
    -
    -
    x
    -
    The computed solution. -
    -Scope: local -
    -Type: required -
    -Intent: inout. -
    -Specified as: a rank one array or an object of type vdatapsb_T_vect_type. -
    -
    iter
    -
    The number of iterations performed. -
    -Scope: global -
    -Type: optional -
    -Intent: out. -
    -Returned as: an integer variable. -
    -
    err
    -
    The convergence estimate on exit. -
    -Scope: global -
    -Type: optional -
    -Intent: out. -
    -Returned as: a real number. -
    -
    cond
    -
    An estimate of the condition number of matrix $A$; only - available with the $CG$ method on real data. -
    -Scope: global -
    -Type: optional -
    -Intent: out. -
    -Returned as: a real number. A correct result will be greater than or -equal to one; if specified for non-real data, or an error occurred, -zero is returned. -
    -
    info
    -
    Error code. -
    -Scope: local -
    -Type: required -
    -Intent: out. -
    -An integer value; 0 means no error has been detected. -
    -
    - -

    - -

    - -

    - -

    - -

    - - -next - -up - -previous - -contents -
    - Next: Bibliography - Up: Iterative Methods - Previous: Iterative Methods -   Contents
    - +
    + +Subsections + + + +
    diff --git a/docs/html/node133.html b/docs/html/node133.html index 60673a69..810fbf44 100644 --- a/docs/html/node133.html +++ b/docs/html/node133.html @@ -3,8 +3,8 @@ -Bibliography - +psb_krylov -- Krylov Methods Driver Routine + @@ -14,167 +14,418 @@ - - - + +
    - next - + up - previous - contents
    - Next: About this document ... - Up: userhtml - Previous: psb_krylov Krylov -   Next: Bibliography + Up: Iterative Methods + Previous: Iterative Methods +   Contents -

    +
    +
    - -

    -Bibliography -

    1 -
    - D. Barbieri, V. Cardellini, S. Filippone and D. Rouson -Design Patterns for Scientific Computations on Sparse Matrices, - HPSS 2011, Algorithms and Programming Tools for Next-Generation High-Performance Scientific Software, Bordeaux, Sep. 2011 + +

    +
    +psb_krylov -- Krylov Methods Driver + Routine +

    -

    2 -
    -G. Bella, S. Filippone, A. De Maio and M. Testa, -A Simulation Model for Forest Fires, -in J. Dongarra, K. Madsen, J. Wasniewski, editors, -Proceedings of PARA 04 Workshop on State of the Art -in Scientific Computing, pp. 546-553, Lecture Notes in Computer Science, -Springer, 2005. -

    3 -
    A. Buttari, D. di Serafino, P. D'Ambra, S. Filippone,
    -2LEV-D2P4: a package of high-performance preconditioners,
    -Applicable Algebra in Engineering, Communications and Computing, -Volume 18, Number 3, May, 2007, pp. 223-239 -

    4 -
    P. D'Ambra, S. Filippone, D. Di Serafino
    -On the Development of PSBLAS-based Parallel Two-level Schwarz Preconditioners -
    -Applied Numerical Mathematics, Elsevier Science, -Volume 57, Issues 11-12, November-December 2007, Pages 1181-1196. +This subroutine is a driver that provides a general interface for all +the Krylov-Subspace family methods implemented in PSBLAS version 2. + +

    +The stopping criterion can take the following values: +

    +
    1
    +
    normwise backward error in the infinity +norm; the iteration is stopped when +

    +
    + + +\begin{displaymath}err = \frac{\Vert r_i\Vert}{(\Vert A\Vert\Vert x_i\Vert+\Vert b\Vert)} < eps \end{displaymath} +
    +
    +

    +
    +
    2
    +
    Relative residual in the 2-norm; the iteration is stopped +when +

    +
    + + +\begin{displaymath}err = \frac{\Vert r_i\Vert}{\Vert b\Vert _2} < eps \end{displaymath} +
    +
    +

    +
    +
    3
    +
    Relative residual reduction in the 2-norm; the iteration is stopped +when +

    +
    + + +\begin{displaymath}err = \frac{\Vert r_i\Vert}{\Vert r_0\Vert _2} < eps \end{displaymath} +
    +
    +

    +
    +
    +The behaviour is controlled by the istop argument (see +later). In the above formulae, $x_i$ is the tentative solution and +$r_i=b-Ax_i$ the corresponding residual at the $i$-th iteration.

    -

    5 -
    - Dongarra, J. J., DuCroz, J., Hammarling, S. and Hanson, R., -An Extended Set of Fortran Basic Linear Algebra Subprograms, -ACM Trans. Math. Softw. vol. 14, 1-17, 1988. -

    6 -
    - Dongarra, J., DuCroz, J., Hammarling, S. and Duff, I., -A Set of level 3 Basic Linear Algebra Subprograms, -ACM Trans. Math. Softw. vol. 16, 1-17, 1990. -

    7 -
    -J. J. Dongarra and R. C. Whaley, -A User's Guide to the BLACS v. 1.1, -Lapack Working Note 94, Tech. Rep. UT-CS-95-281, University of -Tennessee, March 1995 (updated May 1997). -

    8 -
    -I. Duff, M. Marrone, G. Radicati and C. Vittoli, -Level 3 Basic Linear Algebra Subprograms for Sparse Matrices: -a User Level Interface, -ACM Transactions on Mathematical Software, 23(3), pp. 379-401, 1997. -

    9 -
    -I. Duff, M. Heroux and R. Pozo, -An Overview of the Sparse Basic Linear -Algebra Subprograms: the New Standard from the BLAS Technical Forum, -ACM Transactions on Mathematical Software, 28(2), pp. 239-267, 2002. -

    10 -
    -S. Filippone and M. Colajanni, -PSBLAS: A Library for Parallel Linear Algebra -Computation on Sparse Matrices,
    -ACM Transactions on Mathematical Software, 26(4), pp. 527-550, 2000. -

    11 -
    -S. Filippone and A. Buttari, -Object-Oriented Techniques for Sparse Matrix Computations in Fortran 2003, +\begin{lstlisting} +call psb_krylov(method,a,prec,b,x,eps,desc_a,info,& +& itmax,iter,err,itrace,irst,istop,cond) +\end{lstlisting}
    -ACM Transactions on Mathematical Software, 38(4), 2012. -

    12 -
    -S. Filippone, P. D'Ambra, M. Colajanni, -Using a Parallel Library of Sparse Linear Algebra in a Fluid Dynamics -Applications Code on Linux Clusters, -in G. Joubert, A. Murli, F. Peters, M. Vanneschi, editors, -Parallel Computing - Advances & Current Issues, -pp. 441-448, Imperial College Press, 2002. -

    13 -
    - Gamma, E., Helm, R., Johnson, R., and Vlissides, - J. 1995. - Design Patterns: Elements of Reusable Object-Oriented Software. - Addison-Wesley.

    -

    14 -
    -Karypis, G. and Kumar, V., -METIS: Unstructured Graph Partitioning and Sparse Matrix - Ordering System. -Minneapolis, MN 55455: University of Minnesota, Department of - Computer Science, 1995. -Internet Address: http://www.cs.umn.edu/~karypis. -

    15 +
    +
    Type:
    +
    Synchronous. +
    +
    On Entry
    -Lawson, C., Hanson, R., Kincaid, D. and Krogh, F., - Basic Linear Algebra Subprograms for Fortran usage, -ACM Trans. Math. Softw. vol. 5, 38-329, 1979. +
    +
    method
    +
    a string that defines the iterative method to be + used. Supported values are: +
    +
    CG:
    +
    the Conjugate Gradient method; + +
    +
    CGS:
    +
    the Conjugate Gradient Stabilized method;

    -

    16 -
    -Machiels, L. and Deville, M. -Fortran 90: An entry to object-oriented programming for the solution - of partial differential equations. -ACM Trans. Math. Softw. vol. 23, 32-49. -

    17 -
    -Metcalf, M., Reid, J. and Cohen, M. -Fortran 95/2003 explained. -Oxford University Press, 2004. -

    18 -
    -Rouson, D.W.I., Xia, J., Xu, X.: Scientific Software Design: The - Object-Oriented Way. Cambridge University Press (2011) +
    +
    GCR:
    +
    the Generalized Conjugate Residual method; + +
    +
    FCG:
    +
    the Flexible Conjugate Gradient method5; + +

    +

    +
    BICG:
    +
    the Bi-Conjugate Gradient method; + +
    +
    BICGSTAB:
    +
    the Bi-Conjugate Gradient Stabilized method; + +
    +
    BICGSTABL:
    +
    the Bi-Conjugate Gradient Stabilized method with restarting; + +
    +
    RGMRES:
    +
    the Generalized Minimal Residual method with restarting. + +
    +
    +
    +
    a
    +
    the local portion of global sparse matrix +$A$. +
    +Scope: local +
    +Type: required +
    +Intent: in. +
    +Specified as: a structured data of type spdatapsb_Tspmat_type. +
    +
    prec
    +
    The data structure containing the preconditioner. +
    +Scope: local +
    +Type: required +
    +Intent: in. +
    +Specified as: a structured data of type precdatapsb_prec_type. +
    +
    b
    +
    The RHS vector. +
    +Scope: local +
    +Type: required +
    +Intent: in. +
    +Specified as: a rank one array or an object of type vdatapsb_T_vect_type. +
    +
    x
    +
    The initial guess. +
    +Scope: local +
    +Type: required +
    +Intent: inout. +
    +Specified as: a rank one array or an object of type vdatapsb_T_vect_type. +
    +
    eps
    +
    The stopping tolerance. +
    +Scope: global +
    +Type: required +
    +Intent: in. +
    +Specified as: a real number. +
    +
    desc_a
    +
    contains data structures for communications. +
    +Scope: local +
    +Type: required +
    +Intent: in. +
    +Specified as: a structured data of type descdatapsb_desc_type. +
    +
    itmax
    +
    The maximum number of iterations to perform. +
    +Scope: global +
    +Type: optional +
    +Intent: in. +
    +Default: $itmax = 1000$. +
    +Specified as: an integer variable $itmax \ge 1$. +
    +
    itrace
    +
    If $>0$ print out an informational message about + convergence every $itrace$ iterations. +
    +Scope: global +
    +Type: optional +
    +Intent: in. +
    +
    irst
    +
    An integer specifying the restart parameter. +
    +Scope: global +
    +Type: optional. +
    +Intent: in. +
    +Values: $irst>0$. This is employed for the BiCGSTABL or RGMRES +methods, otherwise it is ignored.

    -

    19 + +
    istop
    +
    An integer specifying the stopping criterion. +
    +Scope: global +
    +Type: optional. +
    +Intent: in. +
    +Values: 1: use the normwise backward error, 2: use the scaled 2-norm +of the residual, 3: use the residual reduction in the 2-norm. Default: 2. +
    +
    On Return
    -M. Snir, S. Otto, S. Huss-Lederman, D. Walker and J. Dongarra, -MPI: The Complete Reference. Volume 1 - The MPI Core, second edition, -MIT Press, 1998. +
    +
    x
    +
    The computed solution. +
    +Scope: local +
    +Type: required +
    +Intent: inout. +
    +Specified as: a rank one array or an object of type vdatapsb_T_vect_type. +
    +
    iter
    +
    The number of iterations performed. +
    +Scope: global +
    +Type: optional +
    +Intent: out. +
    +Returned as: an integer variable. +
    +
    err
    +
    The convergence estimate on exit. +
    +Scope: global +
    +Type: optional +
    +Intent: out. +
    +Returned as: a real number. +
    +
    cond
    +
    An estimate of the condition number of matrix $A$; only + available with the $CG$ method on real data. +
    +Scope: global +
    +Type: optional +
    +Intent: out. +
    +Returned as: a real number. A correct result will be greater than or +equal to one; if specified for non-real data, or an error occurred, +zero is returned. +
    +
    info
    +
    Error code. +
    +Scope: local +
    +Type: required +
    +Intent: out. +
    +An integer value; 0 means no error has been detected. +

    -

    + +

    + +

    + +

    + +

    + + +next + +up + +previous + +contents +
    + Next: Bibliography + Up: Iterative Methods + Previous: Iterative Methods +   Contents
    + diff --git a/docs/html/node14.html b/docs/html/node14.html index 071e643d..1b308c1c 100644 --- a/docs/html/node14.html +++ b/docs/html/node14.html @@ -23,26 +23,26 @@
    - next - up - previous - contents
    - Next: Next: get_global_cols Get - Up: Up: Descriptor data structure - Previous: Previous: get_local_cols Get -   Contents

    diff --git a/docs/html/node15.html b/docs/html/node15.html index fedad50b..735ad45e 100644 --- a/docs/html/node15.html +++ b/docs/html/node15.html @@ -23,26 +23,26 @@
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    @@ -68,7 +68,7 @@ passing.

    The PSBLAS library version 3 is implemented in the Fortran 2003 [17] programming language, with reuse and/or + HREF="node134.html#metcalf">17] programming language, with reuse and/or adaptation of existing Fortran 77 and Fortran 95 software, plus a handful of C routines. @@ -78,11 +78,11 @@ mostly in the handling of requirements for evolution and adaptation of the library to new computing architectures and integration of new algorithms. For a detailed discussion of our design see [11]; other + HREF="node134.html#Sparse03">11]; other works discussing advanced programming in Fortran 2003 include [1,18]; sufficient support for + HREF="node134.html#DesPat:11">1,18]; sufficient support for Fortran 2003 is now available from many compilers, including the GNU Fortran compiler from the Free Software Foundation (as of version 4.8). @@ -91,7 +91,7 @@ Previous approaches have been based on mixing Fortran 95, with its support for object-based design, with other languages; these have been advocated by a number of authors, e.g. [16]. Moreover, the Fortran 95 facilities for dynamic + HREF="node134.html#machiels">16]. Moreover, the Fortran 95 facilities for dynamic memory management and interface overloading greatly enhance the usability of the PSBLAS subroutines. In this way, the library can take care of runtime memory @@ -102,12 +102,12 @@ implementation or compilation time. The presentation of the PSBLAS library follows the general structure of the proposal for serial Sparse BLAS [8,9], which in its turn is based on the + HREF="node134.html#sblas97">8,9], which in its turn is based on the proposal for BLAS on dense matrices [15,5,6]. + HREF="node134.html#BLAS1">15,5,6].

    The applicability of sparse iterative solvers to many different areas @@ -142,26 +142,26 @@ computational fluid dynamics applications.

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    @@ -57,9 +57,9 @@ The spdatapsb_Tspmat_type class contains all information about the local portion of the sparse matrix and its storage mode. Its design is based on the STATE design pattern [13] as detailed + HREF="node134.html#DesignPatterns">13] as detailed in [11]; the type declaration is shown in + HREF="node134.html#Sparse03">11]; the type declaration is shown in figure 4 where T is a placeholder for the data type and precision variants
    @@ -142,74 +142,74 @@ variants are obtained by conversion to/from it. Subsections
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    @@ -75,7 +75,7 @@ calls to the serial sparse BLAS subroutines. In a similar way, the inter-process message exchanges are encapsulated in an applicaiton layer that has been strongly inspired by the Basic Linear Algebra Communication Subroutines (BLACS) library [7]. + HREF="node134.html#BLACS">7]. Usually there is no need to deal directly with MPI; however, in some cases, MPI routines are used directly to improve efficiency. For further details on our communication layer see Sec. 7. @@ -131,7 +131,7 @@ equation indices to processes. In particular it is consistent with the usage of graph partitioning tools commonly available in the literature, e.g. METIS [14]. + HREF="node134.html#METIS">14]. Dense vectors conform to sparse matrices, that is, the entries of a vector follow the same distribution of the matrix rows. @@ -151,44 +151,44 @@ bottleneck would make this option unattractive in most cases. Subsections
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    @@ -123,8 +123,8 @@ Overlap points do not usually exist in the basic data distributions; however they are a feature of Domain Decomposition Schwarz preconditioners which are the subject of related research work [4,3]. + HREF="node134.html#2007c">4,3].

    We denote the sets of internal, boundary and halo points for a given @@ -195,26 +195,26 @@ points in the literature.

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    @@ -120,44 +120,44 @@ private memory. Subsections
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    @@ -167,26 +167,26 @@ whose current value is 3.4.0
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    @@ -58,32 +58,32 @@ Computational routines Subsections diff --git a/docs/html/node53.html b/docs/html/node53.html index 07beea59..72690b09 100644 --- a/docs/html/node53.html +++ b/docs/html/node53.html @@ -23,26 +23,26 @@
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    @@ -78,7 +78,7 @@ call psb_geaxpby(alpha, x, beta, y, desc_a, info)


    -
    +
    @@ -253,26 +253,26 @@ An integer value; 0 means no error has been detected.
    - next - up - previous - contents
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    @@ -110,10 +110,10 @@ dot \leftarrow x^H y 

    -psb_gedot(x, y, desc_a, info)
+psb_gedot(x, y, desc_a, info [,global])

    -
    +
    Table 1: Data types
    @@ -215,7 +215,20 @@ Type: required Intent: in.
    Specified as: an object of type descdatapsb_desc_type. - + +
    global
    +
    Specifies whether the computation should include the + global reduction across all processes. +
    +Scope: global +
    +Type: optional. +
    +Intent: in. +
    +Specified as: a logical scalar. +Default: global=.true. +

    On Return
    @@ -230,7 +243,8 @@ Specified as: an object of type descdatapsb_desc_type. SRC="img21.png" ALT="$y$">.
    -Scope: global +Scope: global unless the optional variable +global=.false. as been specified
    Specified as: a number of the data type indicated in Table 2. @@ -247,30 +261,55 @@ An integer value; 0 means no error has been detected. +

    +Notes + +

      +
    1. The computation of a global result requires a global + communication, which entails a significant overhead. It may be + necessary and/or advisable to compute multiple dot products at the same + time; in this case, it is possible to improve the runtime efficiency + by using the following scheme: +
      +\begin{lstlisting} +vres(1) = psb_gedot(x1,y1,desc_a,info,global=.false.) +vres(... +...,y3,desc_a,info,global=.false.) +call psb_sum(ictxt,vres(1:3)) +\end{lstlisting} +
      +In this way the global communication, which for small sizes is a + latency-bound operation, is invoked only once. +
      2. +
    +

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    diff --git a/docs/html/node55.html b/docs/html/node55.html index aa9a2014..55e32c88 100644 --- a/docs/html/node55.html +++ b/docs/html/node55.html @@ -23,26 +23,26 @@
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    @@ -71,7 +71,7 @@ res(i) \leftarrow x(:,i)^T y(:,i) \begin{displaymath}res(i) \leftarrow x(:,i)^T y(:,i)\end{displaymath}
    @@ -89,7 +89,7 @@ used. If $y$ are of rank one, then $res$ is a scalar, else it is a rank one array. @@ -98,7 +98,7 @@ is a rank one array. call psb_gedots(res, x, y, desc_a, info)

    -
    +
    Table 2: Data types
    @@ -107,7 +107,7 @@ Data types
    Table 3: Data types
    $res$,
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    @@ -74,7 +74,7 @@ amax \leftarrow \max_i |x_i| \begin{displaymath}amax \leftarrow \max_i \vert x_i\vert\end{displaymath}
    @@ -93,7 +93,7 @@ amax \leftarrow \max_i {(|re(x_i)| + |im(x_i)|)} \begin{displaymath}amax \leftarrow \max_i {(\vert re(x_i)\vert + \vert im(x_i)\vert)}\end{displaymath}
    @@ -101,13 +101,13 @@ amax \leftarrow \max_i {(|re(x_i)| + |im(x_i)|)} 

    -psb_geamax(x, desc_a, info)
-psb_normi(x, desc_a, info)
+psb_geamax(x, desc_a, info [,global])
+psb_normi(x, desc_a, info [,global])


    -
    +
    @@ -116,7 +116,7 @@ Data types
    Table 4: Data types
    $amax$ required Intent: in.
    Specified as: an object of type descdatapsb_desc_type. + +
    global
    +
    Specifies whether the computation should include the + global reduction across all processes. +
    +Scope: global +
    +Type: optional. +
    +Intent: in. +
    +Specified as: a logical scalar. +Default: global=.true. +

    @@ -195,7 +209,8 @@ Specified as: an object of type descdatapsb_desc_type. SRC="img20.png" ALT="$x$">    .
    -Scope: global +Scope: global unless the optional variable +global=.false. as been specified
    Specified as: a long precision real number. @@ -212,30 +227,55 @@ An integer value; 0 means no error has been detected. +

    +Notes + +

      +
    1. The computation of a global result requires a global + communication, which entails a significant overhead. It may be + necessary and/or advisable to compute multiple norms at the same + time; in this case, it is possible to improve the runtime efficiency + by using the following scheme: +
      +\begin{lstlisting} +vres(1) = psb_geamax(x1,desc_a,info,global=.false.) +vres(2)... +...(x3,desc_a,info,global=.false.) +call psb_amx(ictxt,vres(1:3)) +\end{lstlisting} +
      +In this way the global communication, which for small sizes is a + latency-bound operation, is invoked only once. +
      2. +
    +

    - next - up - previous - contents
    - Next: Next: psb_geamaxs Generalized - Up: Up: Computational routines - Previous: Previous: psb_gedots Generalized -   Contents
    diff --git a/docs/html/node57.html b/docs/html/node57.html index d15507ad..b5285a3e 100644 --- a/docs/html/node57.html +++ b/docs/html/node57.html @@ -23,26 +23,26 @@
    - next - up - previous - contents
    - Next: Next: psb_norm1 1-Norm - Up: Up: Computational routines - Previous: Previous: psb_normi Infinity-Norm -   Contents

    @@ -68,7 +68,7 @@ res(i) \leftarrow \max_k |x(k,i)| \begin{displaymath}res(i) \leftarrow \max_k \vert x(k,i)\vert \end{displaymath}
    @@ -81,7 +81,7 @@ call psb_geamaxs(res, x, desc_a, info)


    -
    +
    @@ -90,7 +90,7 @@ Data types
    Table 5: Data types
    $res$
    - next - up - previous - contents
    - Next: Next: psb_norm1 1-Norm - Up: Up: Computational routines - Previous: Previous: psb_normi Infinity-Norm -   Contents diff --git a/docs/html/node58.html b/docs/html/node58.html index 53075a58..5cb839b1 100644 --- a/docs/html/node58.html +++ b/docs/html/node58.html @@ -23,26 +23,26 @@
    - next - up - previous - contents
    - Next: Next: psb_geasums Generalized - Up: Up: Computational routines - Previous: Previous: psb_geamaxs Generalized -   Contents

    @@ -73,7 +73,7 @@ asum \leftarrow \|x_i\| \begin{displaymath}asum \leftarrow \Vert x_i\Vert\end{displaymath}
    @@ -92,7 +92,7 @@ asum \leftarrow \|re(x)\|_1 + \|im(x)\|_1 \begin{displaymath}asum \leftarrow \Vert re(x)\Vert _1 + \Vert im(x)\Vert _1\end{displaymath}
    @@ -100,13 +100,13 @@ asum \leftarrow \|re(x)\|_1 + \|im(x)\|_1 

    -psb_geasum(x, desc_a, info)
-psb_norm1(x, desc_a, info)
+psb_geasum(x, desc_a, info [,global])
+psb_norm1(x, desc_a, info [,global])


    -
    +
    @@ -115,7 +115,7 @@ Data types
    Table 6: Data types
    $asum$ required Intent: in.
    Specified as: an object of type descdatapsb_desc_type. - + +
    global
    +
    Specifies whether the computation should include the + global reduction across all processes. +
    +Scope: global +
    +Type: optional. +
    +Intent: in. +
    +Specified as: a logical scalar. +Default: global=.true. +

    On Return
    @@ -194,7 +207,8 @@ Specified as: an object of type descdatapsb_desc_type. SRC="img20.png" ALT="$x$">    .
    -Scope: global +Scope: global unless the optional variable +global=.false. as been specified
    Specified as: a long precision real number. @@ -211,30 +225,55 @@ An integer value; 0 means no error has been detected. +

    +Notes + +

      +
    1. The computation of a global result requires a global + communication, which entails a significant overhead. It may be + necessary and/or advisable to compute multiple norms at the same + time; in this case, it is possible to improve the runtime efficiency + by using the following scheme: +
      +\begin{lstlisting} +vres(1) = psb_geasum(x1,desc_a,info,global=.false.) +vres(2)... +...(x3,desc_a,info,global=.false.) +call psb_sum(ictxt,vres(1:3)) +\end{lstlisting} +
      +In this way the global communication, which for small sizes is a + latency-bound operation, is invoked only once. +
      2. +
    +

    - next - up - previous - contents
    - Next: Next: psb_geasums Generalized - Up: Up: Computational routines - Previous: Previous: psb_geamaxs Generalized -   Contents
    diff --git a/docs/html/node59.html b/docs/html/node59.html index 160a0e61..088bd7b3 100644 --- a/docs/html/node59.html +++ b/docs/html/node59.html @@ -23,26 +23,26 @@
    - next - up - previous - contents
    - Next: Next: psb_norm2 2-Norm - Up: Up: Computational routines - Previous: Previous: psb_norm1 1-Norm -   Contents

    @@ -68,7 +68,7 @@ res(i) \leftarrow \max_k |x(k,i)| \begin{displaymath}res(i) \leftarrow \max_k \vert x(k,i)\vert \end{displaymath}
    @@ -93,7 +93,7 @@ res(i) \leftarrow \|x_i\| \begin{displaymath}res(i) \leftarrow \Vert x_i\Vert\end{displaymath}
    @@ -112,7 +112,7 @@ res(i) \leftarrow \|re(x)\|_1 + \|im(x)\|_1 \begin{displaymath}res(i) \leftarrow \Vert re(x)\Vert _1 + \Vert im(x)\Vert _1\end{displaymath}
    @@ -125,7 +125,7 @@ call psb_geasums(res, x, desc_a, info)


    -
    +
    @@ -134,7 +134,7 @@ Data types
    Table 7: Data types
    $res$
    - next - up - previous - contents
    - Next: Next: psb_norm2 2-Norm - Up: Up: Computational routines - Previous: Previous: psb_norm1 1-Norm -   Contents diff --git a/docs/html/node6.html b/docs/html/node6.html index 911bf87c..c3a74f22 100644 --- a/docs/html/node6.html +++ b/docs/html/node6.html @@ -23,26 +23,26 @@
    - next - up - previous - contents
    - Next: Next: User-defined index mappings - Up: Up: General overview - Previous: Previous: Library contents -   Contents

    @@ -247,33 +247,33 @@ from optimal. Subsections
    - next - up - previous - contents
    - Next: Next: User-defined index mappings - Up: Up: General overview - Previous: Previous: Library contents -   Contents
    diff --git a/docs/html/node60.html b/docs/html/node60.html index aee04698..77a6ca43 100644 --- a/docs/html/node60.html +++ b/docs/html/node60.html @@ -23,26 +23,26 @@
    - next - up - previous - contents
    - Next: Next: psb_genrm2s Generalized - Up: Up: Computational routines - Previous: Previous: psb_geasums Generalized -   Contents

    @@ -73,7 +73,7 @@ nrm2 \leftarrow \sqrt{x^T x} \begin{displaymath}nrm2 \leftarrow \sqrt{x^T x}\end{displaymath}
    @@ -92,7 +92,7 @@ nrm2 \leftarrow \sqrt{x^H x} \begin{displaymath}nrm2 \leftarrow \sqrt{x^H x}\end{displaymath}
    @@ -100,7 +100,7 @@ nrm2 \leftarrow \sqrt{x^H x}


    -
    +
    @@ -109,7 +109,7 @@ Data types
    Table 8: Data types
    $nrm2$ 

    -psb_genrm2(x, desc_a, info)
-psb_norm2(x, desc_a, info)
+psb_genrm2(x, desc_a, info [,global])
+psb_norm2(x, desc_a, info [,global])

    @@ -182,6 +182,20 @@ Type: required Intent: in.
    Specified as: an object of type descdatapsb_desc_type. + +

    global
    +
    Specifies whether the computation should include the + global reduction across all processes. +
    +Scope: global +
    +Type: optional. +
    +Intent: in. +
    +Specified as: a logical scalar. +Default: global=.true. +

    @@ -194,7 +208,8 @@ Specified as: an object of type descdatapsb_desc_type. SRC="img20.png" ALT="$x$">    .
    -Scope: global +Scope: global unless the optional variable +global=.false. as been specified
    Type: required
    @@ -213,30 +228,55 @@ An integer value; 0 means no error has been detected. +

    +Notes + +

      +
    1. The computation of a global result requires a global + communication, which entails a significant overhead. It may be + necessary and/or advisable to compute multiple norms at the same + time; in this case, it is possible to improve the runtime efficiency + by using the following scheme: +
      +\begin{lstlisting} +vres(1) = psb_genrm2(x1,desc_a,info,global=.false.) +vres(2)... +...x3,desc_a,info,global=.false.) +call psb_nrm2(ictxt,vres(1:3)) +\end{lstlisting} +
      +In this way the global communication, which for small sizes is a + latency-bound operation, is invoked only once. +
      2. +
    +

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    - Next: Next: psb_genrm2s Generalized - Up: Up: Computational routines - Previous: Previous: psb_geasums Generalized -   Contents
    diff --git a/docs/html/node61.html b/docs/html/node61.html index b6f55a63..b37cc637 100644 --- a/docs/html/node61.html +++ b/docs/html/node61.html @@ -23,26 +23,26 @@
    - next - up - previous - contents
    - Next: Next: psb_norm1 1-Norm - Up: Up: Computational routines - Previous: Previous: psb_norm2 2-Norm -   Contents

    @@ -68,7 +68,7 @@ res(i) \leftarrow \|x(:,i)\|_2 \begin{displaymath}res(i) \leftarrow \Vert x(:,i)\Vert _2 \end{displaymath}
    @@ -81,7 +81,7 @@ call psb_genrm2s(res, x, desc_a, info)


    -
    +
    @@ -90,7 +90,7 @@ Data types
    Table 9: Data types
    $res$
    - next - up - previous - contents
    - Next: Next: psb_norm1 1-Norm - Up: Up: Computational routines - Previous: Previous: psb_norm2 2-Norm -   Contents diff --git a/docs/html/node62.html b/docs/html/node62.html index d05c0035..72370acc 100644 --- a/docs/html/node62.html +++ b/docs/html/node62.html @@ -23,26 +23,26 @@
    - next - up - previous - contents
    - Next: Next: psb_normi Infinity - Up: Up: Computational routines - Previous: Previous: psb_genrm2s Generalized -   Contents

    @@ -69,7 +69,7 @@ nrm1 \leftarrow \|A\|_1 \begin{displaymath}nrm1 \leftarrow \Vert A\Vert _1 \end{displaymath}
    @@ -89,7 +89,7 @@ where:


    -
    +
    diff --git a/docs/html/node63.html b/docs/html/node63.html index 4493b074..8403b32b 100644 --- a/docs/html/node63.html +++ b/docs/html/node63.html @@ -23,26 +23,26 @@
    - next - up - previous - contents
    - Next: Next: psb_spmm Sparse - Up: Up: Computational routines - Previous: Previous: psb_norm1 1-Norm -   Contents

    @@ -69,7 +69,7 @@ nrmi \leftarrow \|A\|_\infty \begin{displaymath}nrmi \leftarrow \Vert A\Vert _\infty \end{displaymath}
    @@ -89,7 +89,7 @@ where:


    -
    +
    Table 10: Data types
    diff --git a/docs/html/node64.html b/docs/html/node64.html index ce477479..c1563adc 100644 --- a/docs/html/node64.html +++ b/docs/html/node64.html @@ -23,26 +23,26 @@
    - next - up - previous - contents
    - Next: Next: psb_spsm Triangular - Up: Up: Computational routines - Previous: Previous: psb_normi Infinity -   Contents

    @@ -69,7 +69,7 @@ y \leftarrow \alpha A x + \beta y
    Table 11: Data types
    @@ -89,7 +89,7 @@ y \leftarrow \alpha A^T x + \beta y
    \begin{displaymath} y \leftarrow \alpha A x + \beta y \end{displaymath}
    @@ -109,7 +109,7 @@ y \leftarrow \alpha A^H x + \beta y
    \begin{displaymath} y \leftarrow \alpha A^T x + \beta y \end{displaymath}
    @@ -127,7 +127,7 @@ where: ALT="$x$">
    is the global dense matrix $x_{:, :}$
    $y$
    is the global dense matrix $y_{:, :}$

    -
    +
    \begin{displaymath} y \leftarrow \alpha A^H x + \beta y \end{displaymath}
    @@ -337,7 +337,7 @@ Intent: in.
    Default: $trans = N$
    Specified as: a character variable. @@ -400,26 +400,26 @@ An integer value; 0 means no error has been detected.
    - next - up - previous - contents
    - Next: Next: psb_spsm Triangular - Up: Up: Computational routines - Previous: Previous: psb_normi Infinity -   Contents
    diff --git a/docs/html/node65.html b/docs/html/node65.html index 5a1e9e66..99711134 100644 --- a/docs/html/node65.html +++ b/docs/html/node65.html @@ -22,26 +22,26 @@
    - next - up - previous - contents
    - Next: Next: Communication routines - Up: Up: Computational routines - Previous: Previous: psb_spmm Sparse -   Contents

    @@ -72,7 +72,7 @@ y &\leftarrow& \alpha T^{-H} D x + \beta y\\ --> \begin{eqnarray*} y &\leftarrow& \alpha T^{-1} x + \beta y\\ y &\leftarrow& \al... @@ -91,7 +91,7 @@ where: ALT=
    is the global dense matrix $x_{:, :}$
    $y$
    is the global dense matrix $y_{:, :}$
    $T$
    is the global sparse block triangular submatrix $T$
    $D$
    is the scaling diagonal matrix.
    @@ -129,7 +129,7 @@ call psb_spsm(alpha, t, x, beta, y, desc_a, info,&


    -
    +
    Table 12: Data types
    @@ -138,7 +138,7 @@ Data types
    Table 13: Data types
    $T$, SRC="img21.png" ALT="$y$">, $D$, 13.
    the global portion of the sparse matrix $T$.
    Scope: local @@ -309,7 +309,7 @@ Intent: in.
    Default: $trans = N$
    Specified as: a character variable. @@ -335,7 +335,7 @@ Intent: in.
    Default: $unitd = U$
    Specified as: a character variable. @@ -381,7 +381,7 @@ Default: $diag(1) = 1 (no scaling)$
    Specified as: a rank one array containing numbers of the type @@ -442,26 +442,26 @@ An integer value; 0 means no error has been detected.
    - next - up - previous - contents
    - Next: Next: Communication routines - Up: Up: Computational routines - Previous: Previous: psb_spmm Sparse -   Contents
    diff --git a/docs/html/node66.html b/docs/html/node66.html index c051c5e1..cdc88a27 100644 --- a/docs/html/node66.html +++ b/docs/html/node66.html @@ -23,26 +23,26 @@
    - next - up - previous - contents
    - Next: Next: psb_halo Halo - Up: Up: userhtml - Previous: Previous: psb_spsm Triangular -   Contents

    @@ -61,13 +61,13 @@ routines not tied to a discretization space see Subsections diff --git a/docs/html/node67.html b/docs/html/node67.html index 086ef163..015b053d 100644 --- a/docs/html/node67.html +++ b/docs/html/node67.html @@ -23,26 +23,26 @@
    - next - up - previous - contents
    - Next: Next: psb_ovrl Overlap - Up: Up: Communication routines - Previous: Previous: Communication routines -   Contents

    @@ -67,7 +67,7 @@ x \leftarrow x \begin{displaymath}x \leftarrow x \end{displaymath}
    @@ -84,7 +84,7 @@ where:


    -
    +
    @@ -126,7 +126,7 @@ Data types
    \begin{lstlisting} call psb_halo(x, desc_a, info) call psb_halo(x, desc_a, info, work, data) @@ -230,7 +230,7 @@ An integer value that contains an error code. </DD> </DL> -<DIV ALIGN= +
    Table 14: Data types
    @@ -238,12 +238,12 @@ Sample discretization mesh.
    \includegraphics[scale=0.45]{figures/try8x8.eps} \includegraphics[scale=0.45]{figures/try8x8}
    @@ -606,26 +606,26 @@ following:
    - next - up - previous - contents
    - Next: Next: psb_ovrl Overlap - Up: Up: Communication routines - Previous: Previous: Communication routines -   Contents
    diff --git a/docs/html/node68.html b/docs/html/node68.html index 02386b3b..3421d633 100644 --- a/docs/html/node68.html +++ b/docs/html/node68.html @@ -23,26 +23,26 @@
    - next - up - previous - contents
    - Next: Next: psb_gather Gather - Up: Up: Communication routines - Previous: Previous: psb_halo Halo -   Contents

    @@ -66,7 +66,7 @@ x \leftarrow Q x \begin{displaymath}x \leftarrow Q x \end{displaymath}
    @@ -84,22 +84,22 @@ where:
    $Q$
    is the overlap operator; it is the composition of two operators $ P_a$ and $ P^{T}$.


    -
    +
    Figure 7: Sample discretization mesh.
    @@ -135,7 +135,7 @@ Data types
    \begin{lstlisting} call psb_ovrl(x, desc_a, info) call psb_ovrl(x, desc_a, info, update=update_type, work=work) @@ -186,13 +186,13 @@ Specified as: a structured data of type descdata<TT>psb_desc_type</TT>. <DT><STRONG>update = psb_add_</STRONG></DT> <DD>Sum overlap entries, i.e. apply <SPAN CLASS=$P^T$;
    update = psb_avg_
    Average overlap entries, i.e. apply $P_aP^T$;
    @@ -205,7 +205,7 @@ Default: $update\_type = psb\_avg\_ $
    Scope: global @@ -269,18 +269,18 @@ An integer value; 0 means no error has been detected.
  • The operator $ P^{T}$ performs the reduction sum of overlap elements; it is a “prolongation” operator $P^T$ that replicates overlap elements, accounting for the physical replication of data;
  • The operator $ P_a$ performs a scaling on the overlap elements by the amount of replication; thus, when combined with the reduction operator, it implements the average of replicated elements over all of @@ -290,7 +290,7 @@ their instances.

    -

    +
    • Table 15: Data types
    @@ -298,12 +298,12 @@ Sample discretization mesh.
    \includegraphics[scale=0.65]{figures/try8x8_ov.eps} \includegraphics[scale=0.65]{figures/try8x8_ov}
    @@ -734,26 +734,26 @@ following (showing a transition among the two subdomains)
    - next - up - previous - contents
    - Next: Next: psb_gather Gather - Up: Up: Communication routines - Previous: Previous: psb_halo Halo -   Contents
    diff --git a/docs/html/node69.html b/docs/html/node69.html index 410ac3ae..cadf089f 100644 --- a/docs/html/node69.html +++ b/docs/html/node69.html @@ -23,26 +23,26 @@
    - next - up - previous - contents
    - Next: Next: psb_scatter Scatter - Up: Up: Communication routines - Previous: Previous: psb_ovrl Overlap -   Contents

    @@ -68,7 +68,7 @@ glob\_x \leftarrow collect(loc\_x_i) \begin{displaymath}glob\_x \leftarrow collect(loc\_x_i) \end{displaymath}
    @@ -77,19 +77,19 @@ where:
    $glob\_x$
    is the global submatrix $glob\_x_{1:m,1:n}$
    $loc\_x_i$
    is the local portion of global dense matrix on process
    $collect$
    is the collect function.
    @@ -107,7 +107,7 @@ process

    -
    +
    Figure 8: Sample discretization mesh.
    @@ -116,7 +116,7 @@ Data types
    Table 16: Data types
    @@ -146,7 +146,7 @@ Data types
    \begin{lstlisting} call psb_gather(glob_x, loc_x, desc_a, info, root) call psb_gather(glob_x, loc_x, desc_a, info, root) @@ -165,7 +165,7 @@ call psb_gather(glob_x, loc_x, desc_a, info, root) <DD>the local portion of global dense matrix <SPAN CLASS=$glob\_x$.
    Scope: local @@ -191,7 +191,7 @@ Specified as: a structured data of type descdatapsb_desc_type.
    root
    The process that holds the global copy. If $root=-1$ all the processes will have a copy of the global vector.
    @@ -206,10 +206,10 @@ Specified as: an integer variable $-1\le root\le np-1$, default $-1$.
    On Return
    @@ -243,26 +243,26 @@ An integer value; 0 means no error has been detected.
    - next - up - previous - contents
    - Next: Next: psb_scatter Scatter - Up: Up: Communication routines - Previous: Previous: psb_ovrl Overlap -   Contents
    diff --git a/docs/html/node7.html b/docs/html/node7.html index 9f09abe4..db996b73 100644 --- a/docs/html/node7.html +++ b/docs/html/node7.html @@ -22,26 +22,26 @@
    - next - up - previous - contents
    - Next: Next: Programming model - Up: Up: Application structure - Previous: Previous: Application structure -   Contents

    diff --git a/docs/html/node70.html b/docs/html/node70.html index ae0bfb6e..1cd035c2 100644 --- a/docs/html/node70.html +++ b/docs/html/node70.html @@ -22,26 +22,26 @@
    - next - up - previous - contents
    - Next: Next: Data management routines - Up: Up: Communication routines - Previous: Previous: psb_gather Gather -   Contents

    @@ -66,7 +66,7 @@ loc\_x_i \leftarrow scatter(glob\_x) \begin{displaymath}loc\_x_i \leftarrow scatter(glob\_x) \end{displaymath}
    @@ -75,19 +75,19 @@ where:
    $glob\_x$
    is the global matrix $glob\_x_{1:m,1:n}$
    $loc\_x_i$
    is the local portion of global dense matrix on process
    $scatter$
    is the scatter function.
    @@ -105,7 +105,7 @@ process

    -
    +
    $x_i, y$ Subroutine
    @@ -114,7 +114,7 @@ Data types
    Table 17: Data types
    @@ -144,7 +144,7 @@ Data types
    \begin{lstlisting} call psb_scatter(glob_x, loc_x, desc_a, info, root, mold) \end{lstlisting} @@ -183,7 +183,7 @@ Specified as: a structured data of type descdatapsb_desc_type.
    root
    The process that holds the global copy. If $root=-1$ all the processes have a copy of the global vector.
    @@ -198,7 +198,7 @@ Specified as: an integer variable $-1\le root\le np-1$, default psb_root_, i.e. process 0.
    @@ -221,7 +221,7 @@ only allowed when loc_x is of type vdatapsb_T_vect_type.
    the local portion of global dense matrix $glob\_x$.
    Scope: local @@ -250,26 +250,26 @@ An integer value; 0 means no error has been detected.
    - next - up - previous - contents
    - Next: Next: Data management routines - Up: Up: Communication routines - Previous: Previous: psb_gather Gather -   Contents
    diff --git a/docs/html/node71.html b/docs/html/node71.html index f391b28c..7c38ec5a 100644 --- a/docs/html/node71.html +++ b/docs/html/node71.html @@ -23,26 +23,26 @@
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    @@ -60,70 +60,70 @@ Data management routines Subsections diff --git a/docs/html/node72.html b/docs/html/node72.html index 1ba59536..fd420f32 100644 --- a/docs/html/node72.html +++ b/docs/html/node72.html @@ -23,26 +23,26 @@
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    @@ -91,11 +91,11 @@ Specified as: an integer value. --> $i\in \{1\dots mg\}$ is allocated to process $vg(i)$.
    Scope:global. @@ -109,7 +109,7 @@ Specified as: an integer array.
    flag
    Specifies whether entries in $vg$ are zero- or one-based.
    Scope:global. @@ -120,10 +120,10 @@ Intent: in.
    Specified as: an integer value $0,1$, default $0$.

    @@ -153,7 +153,7 @@ Specified as: a subroutine.

    Data allocation: the set of global indices $vl(1:nl)$ belonging to the calling process.
    Scope:local. @@ -205,10 +205,10 @@ Specified as: a logical value, default: .true.
    Data allocation: the set of local indices $lidx(1:nl)$ to be assigned to the global indices $vl$.
    Scope:local. @@ -301,10 +301,10 @@ An integer value; 0 means no error has been detected. --> $0\le pv(i) < np$; if $nv>1$ we have an index assigned to multiple processes, i.e. we have an overlap among the subdomains. @@ -319,23 +319,23 @@ An integer value; 0 means no error has been detected. --> $i\in \{1\dots mg\}$ is assigned to process $vg(i)$. The vector vg must be identical on all calling processes; its entries may have the ranges $(0\dots np-1)$ or $(1\dots np)$ according to the value of flag. The size $mg$ may be specified via the optional argument mg; the default is to use the entire vector vg, thus having mg=size(vg). @@ -345,7 +345,7 @@ An integer value; 0 means no error has been detected. vl(1:nl) assigned to the current process; thus, the global problem size $mg$ is given by the range of the aggregate of the individual vectors vl specified in the calling processes. The size may be specified via the optional @@ -354,7 +354,7 @@ An integer value; 0 means no error has been detected. If globalcheck=.true. the subroutine will check how many times each entry in the global index space $(1\dots mg)$ is specified in the input lists vl, thus allowing for the presence of overlap in the input, and checking for “orphan” @@ -378,10 +378,10 @@ An integer value; 0 means no error has been detected. the result is a generalized row-block distribution in which each process $I$ gets assigned a consecutive chunk of $N_I=nl$ global indices.
    @@ -423,26 +423,26 @@ An integer value; 0 means no error has been detected.
    - next - up - previous - contents
    - Next: Next: psb_cdins Communication - Up: Up: Data management routines - Previous: Previous: Data management routines -   Contents
    diff --git a/docs/html/node73.html b/docs/html/node73.html index 185949be..b61c998f 100644 --- a/docs/html/node73.html +++ b/docs/html/node73.html @@ -23,26 +23,26 @@
    - next - up - previous - contents
    - Next: Next: psb_cdasb Communication - Up: Up: Data management routines - Previous: Previous: psb_cdall Allocates -   Contents

    @@ -66,15 +66,15 @@ linear system coefficient matrix), storing them as necessary into the communication descriptor. In the first form the edges are specified as pairs of indices $ia(i),ja(i)$; the starting index $ia(i)$ should belong to the current process. In the second form only the remote indices $ja(i)$ are specified.

    @@ -107,7 +107,7 @@ Intent: in.
    Specified as: an integer array of length $nz$.

    ja
    @@ -121,7 +121,7 @@ Intent: in.
    Specified as: an integer array of length $nz$.
    mask
    @@ -136,7 +136,7 @@ Intent: in.
    Specified as: a logical array of length $nz$, default .true..
    lidx
    @@ -150,7 +150,7 @@ Intent: in.
    Specified as: an integer array of length $nz$. @@ -193,7 +193,7 @@ Intent: out.
    Specified as: an integer array of length $nz$.
    jla
    @@ -207,7 +207,7 @@ Intent: out.
    Specified as: an integer array of length $nz$.

    @@ -232,26 +232,26 @@ nor the end vertex belong to the current process.

    - next - up - previous - contents
    - Next: Next: psb_cdasb Communication - Up: Up: Data management routines - Previous: Previous: psb_cdall Allocates -   Contents
    diff --git a/docs/html/node74.html b/docs/html/node74.html index 780ad701..90153fc2 100644 --- a/docs/html/node74.html +++ b/docs/html/node74.html @@ -23,26 +23,26 @@
    - next - up - previous - contents
    - Next: Next: psb_cdcpy Copies - Up: Up: Data management routines - Previous: Previous: psb_cdins Communication -   Contents

    diff --git a/docs/html/node75.html b/docs/html/node75.html index 60eeb141..c5b2b262 100644 --- a/docs/html/node75.html +++ b/docs/html/node75.html @@ -23,26 +23,26 @@
    - next - up - previous - contents
    - Next: Next: psb_cdfree Frees - Up: Up: Data management routines - Previous: Previous: psb_cdasb Communication -   Contents

    diff --git a/docs/html/node76.html b/docs/html/node76.html index 76628cf8..d963d0cf 100644 --- a/docs/html/node76.html +++ b/docs/html/node76.html @@ -23,26 +23,26 @@
    - next - up - previous - contents
    - Next: Next: psb_cdbldext Build - Up: Up: Data management routines - Previous: Previous: psb_cdcpy Copies -   Contents

    diff --git a/docs/html/node77.html b/docs/html/node77.html index d3f949e5..0fc117c8 100644 --- a/docs/html/node77.html +++ b/docs/html/node77.html @@ -23,26 +23,26 @@
    - next - up - previous - contents
    - Next: Next: psb_spall Allocates - Up: Up: Data management routines - Previous: Previous: psb_cdfree Frees -   Contents

    @@ -101,7 +101,7 @@ Intent: in.
    Specified as: an integer value $nl\ge 0$.
    extype
    @@ -171,26 +171,26 @@ An integer value; 0 means no error has been detected.
    - next - up - previous - contents
    - Next: Next: psb_spall Allocates - Up: Up: Data management routines - Previous: Previous: psb_cdfree Frees -   Contents
    diff --git a/docs/html/node78.html b/docs/html/node78.html index de936a1e..a6434f72 100644 --- a/docs/html/node78.html +++ b/docs/html/node78.html @@ -23,26 +23,26 @@
    - next - up - previous - contents
    - Next: Next: psb_spins Insert - Up: Up: Data management routines - Previous: Previous: psb_cdbldext Build -   Contents

    @@ -128,7 +128,7 @@ An integer value; 0 means no error has been detected.
  • Providing a good estimate for the number of nonzeroes $nnz$ in the assembled matrix may substantially improve performance in the matrix build phase, as it will reduce or eliminate the need for diff --git a/docs/html/node79.html b/docs/html/node79.html index d5c86fdb..985137fd 100644 --- a/docs/html/node79.html +++ b/docs/html/node79.html @@ -23,26 +23,26 @@
    - next - up - previous - contents
    - Next: Next: psb_spasb Sparse - Up: Up: Data management routines - Previous: Previous: psb_spall Allocates -   Contents

    @@ -88,7 +88,7 @@ Intent: in.
    Specified as: an integer array of size $nz$.
    ja
    @@ -102,7 +102,7 @@ Intent: in.
    Specified as: an integer array of size $nz$.
    val
    @@ -116,11 +116,11 @@ Intent: in.
    Specified as: an array of size $nz$. Must be of the same type and kind of the coefficients of the sparse matrix $a$.
    desc_a
    @@ -211,14 +211,14 @@ An integer value; 0 means no error has been detected. --> $ia(i),ja(i),val(i)$, 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;
    • @@ -246,26 +246,26 @@ An integer value; 0 means no error has been detected.
    - next - up - previous - contents
    - Next: Next: psb_spasb Sparse - Up: Up: Data management routines - Previous: Previous: psb_spall Allocates -   Contents
    diff --git a/docs/html/node8.html b/docs/html/node8.html index 9b1e1251..b4bd2652 100644 --- a/docs/html/node8.html +++ b/docs/html/node8.html @@ -22,26 +22,26 @@
    - next - up - previous - contents
    - Next: Next: Data Structures and Classes - Up: Up: General overview - Previous: Previous: User-defined index mappings -   Contents

    @@ -94,26 +94,26 @@ as:
    - next - up - previous - contents
    - Next: Next: Data Structures and Classes - Up: Up: General overview - Previous: Previous: User-defined index mappings -   Contents
    diff --git a/docs/html/node80.html b/docs/html/node80.html index 23728587..0b772b19 100644 --- a/docs/html/node80.html +++ b/docs/html/node80.html @@ -23,26 +23,26 @@
    - next - up - previous - contents
    - Next: Next: psb_spfree Frees - Up: Up: Data management routines - Previous: Previous: psb_spins Insert -   Contents

    @@ -182,26 +182,26 @@ An integer value; 0 means no error has been detected.
    - next - up - previous - contents
    - Next: Next: psb_spfree Frees - Up: Up: Data management routines - Previous: Previous: psb_spins Insert -   Contents
    diff --git a/docs/html/node81.html b/docs/html/node81.html index 6e688f10..ad0cecc9 100644 --- a/docs/html/node81.html +++ b/docs/html/node81.html @@ -23,26 +23,26 @@
    - next - up - previous - contents
    - Next: Next: psb_sprn Reinit - Up: Up: Data management routines - Previous: Previous: psb_spasb Sparse -   Contents

    diff --git a/docs/html/node82.html b/docs/html/node82.html index 245b17c3..178b059d 100644 --- a/docs/html/node82.html +++ b/docs/html/node82.html @@ -23,26 +23,26 @@
    - next - up - previous - contents
    - Next: Next: psb_geall Allocates - Up: Up: Data management routines - Previous: Previous: psb_spfree Frees -   Contents

    diff --git a/docs/html/node83.html b/docs/html/node83.html index a9a4eac7..738de733 100644 --- a/docs/html/node83.html +++ b/docs/html/node83.html @@ -23,26 +23,26 @@
    - next - up - previous - contents
    - Next: Next: psb_geins Dense - Up: Up: Data management routines - Previous: Previous: psb_sprn Reinit -   Contents

    @@ -87,7 +87,7 @@ Intent: in.
    Specified as: Integer scalar, default $1$. It is not a valid argument if in.
    Specified as: Integer scalar, default $1$. It is not a valid argument if
    - next - up - previous - contents
    - Next: Next: psb_geasb Assembly - Up: Up: Data management routines - Previous: Previous: psb_geall Allocates -   Contents

    @@ -68,7 +68,7 @@ call psb_geins(m, irw, val, x, desc_a, info [,dupl,local])
    m
    Number of rows in $val$ to be inserted.
    Scope:local. @@ -86,11 +86,11 @@ Specified as: an integer value. ALT="$i$"> of $val$ will be inserted into the local row corresponding to the global row index $irw(i)$. Scope:local.
    @@ -194,26 +194,26 @@ An integer value; 0 means no error has been detected.
    - next - up - previous - contents
    - Next: Next: psb_geasb Assembly - Up: Up: Data management routines - Previous: Previous: psb_geall Allocates -   Contents
    diff --git a/docs/html/node85.html b/docs/html/node85.html index c66eadd8..d398962f 100644 --- a/docs/html/node85.html +++ b/docs/html/node85.html @@ -23,26 +23,26 @@
    - next - up - previous - contents
    - Next: Next: psb_gefree Frees - Up: Up: Data management routines - Previous: Previous: psb_geins Dense -   Contents

    diff --git a/docs/html/node86.html b/docs/html/node86.html index 887b910b..727ea53c 100644 --- a/docs/html/node86.html +++ b/docs/html/node86.html @@ -23,26 +23,26 @@
    - next - up - previous - contents
    - Next: Next: psb_gelp Applies - Up: Up: Data management routines - Previous: Previous: psb_geasb Assembly -   Contents

    diff --git a/docs/html/node87.html b/docs/html/node87.html index 1b2b4598..a2f92e49 100644 --- a/docs/html/node87.html +++ b/docs/html/node87.html @@ -23,26 +23,26 @@
    - next - up - previous - contents
    - Next: Next: psb_glob_to_loc Global - Up: Up: Data management routines - Previous: Previous: psb_gefree Frees -   Contents

    @@ -72,7 +72,7 @@ call psb_gelp(trans, iperm, x, info) SRC="img1.png" ALT="$A$"> or $A^T$.
    Scope: local @@ -86,7 +86,7 @@ Specified as: a single character with value 'N' for $A$ or 'T' for $A^T$.
    iperm
    diff --git a/docs/html/node88.html b/docs/html/node88.html index 0f4f81e0..dc1ef1f3 100644 --- a/docs/html/node88.html +++ b/docs/html/node88.html @@ -23,26 +23,26 @@
    - next - up - previous - contents
    - Next: Next: psb_loc_to_glob Local - Up: Up: Data management routines - Previous: Previous: psb_gelp Applies -   Contents

    @@ -186,26 +186,26 @@ An integer value; 0 means no error has been detected.
    - next - up - previous - contents
    - Next: Next: psb_loc_to_glob Local - Up: Up: Data management routines - Previous: Previous: psb_gelp Applies -   Contents
    diff --git a/docs/html/node89.html b/docs/html/node89.html index b4ae68ff..8f9fe79e 100644 --- a/docs/html/node89.html +++ b/docs/html/node89.html @@ -23,26 +23,26 @@
    - next - up - previous - contents
    - Next: Next: psb_is_owned - Up: Up: Data management routines - Previous: Previous: psb_glob_to_loc Global -   Contents

    diff --git a/docs/html/node9.html b/docs/html/node9.html index d5d0565c..0a5a735c 100644 --- a/docs/html/node9.html +++ b/docs/html/node9.html @@ -23,26 +23,26 @@
    - next - up - previous - contents
    - Next: Next: Descriptor data structure - Up: Up: userhtml - Previous: Previous: Programming model -   Contents

    @@ -109,132 +109,132 @@ developer's documentation. Subsections
    - next - up - previous - contents
    - Next: Next: Descriptor data structure - Up: Up: userhtml - Previous: Previous: Programming model -   Contents
    diff --git a/docs/html/node90.html b/docs/html/node90.html index 84cafa51..06a82601 100644 --- a/docs/html/node90.html +++ b/docs/html/node90.html @@ -23,26 +23,26 @@
    - next - up - previous - contents
    - Next: Next: psb_owned_index - Up: Up: Data management routines - Previous: Previous: psb_loc_to_glob Local -   Contents

    diff --git a/docs/html/node91.html b/docs/html/node91.html index 8f42455e..d636cd7a 100644 --- a/docs/html/node91.html +++ b/docs/html/node91.html @@ -23,26 +23,26 @@
    - next - up - previous - contents
    - Next: Next: psb_is_local - Up: Up: Data management routines - Previous: Previous: psb_is_owned -   Contents

    diff --git a/docs/html/node92.html b/docs/html/node92.html index 71988886..874ce23a 100644 --- a/docs/html/node92.html +++ b/docs/html/node92.html @@ -23,26 +23,26 @@
    - next - up - previous - contents
    - Next: Next: psb_local_index - Up: Up: Data management routines - Previous: Previous: psb_owned_index -   Contents

    diff --git a/docs/html/node93.html b/docs/html/node93.html index 9abcf1fa..675e81fa 100644 --- a/docs/html/node93.html +++ b/docs/html/node93.html @@ -23,26 +23,26 @@
    - next - up - previous - contents
    - Next: Next: psb_get_boundary Extract - Up: Up: Data management routines - Previous: Previous: psb_is_local -   Contents

    diff --git a/docs/html/node94.html b/docs/html/node94.html index 5d30b949..b58a1ece 100644 --- a/docs/html/node94.html +++ b/docs/html/node94.html @@ -23,26 +23,26 @@
    - next - up - previous - contents
    - Next: Next: psb_get_overlap Extract - Up: Up: Data management routines - Previous: Previous: psb_local_index -   Contents

    diff --git a/docs/html/node95.html b/docs/html/node95.html index b53e1e39..e82e5e78 100644 --- a/docs/html/node95.html +++ b/docs/html/node95.html @@ -23,26 +23,26 @@
    - next - up - previous - contents
    - Next: Next: psb_sp_getrow Extract - Up: Up: Data management routines - Previous: Previous: psb_get_boundary Extract -   Contents

    diff --git a/docs/html/node96.html b/docs/html/node96.html index 4d678841..9804dc41 100644 --- a/docs/html/node96.html +++ b/docs/html/node96.html @@ -23,26 +23,26 @@
    - next - up - previous - contents
    - Next: Next: psb_sizeof Memory - Up: Up: Data management routines - Previous: Previous: psb_get_overlap Extract -   Contents

    @@ -78,7 +78,7 @@ Intent: in.
    Specified as: an integer $>0$.
    a
    @@ -114,7 +114,7 @@ Intent: in.
    Specified as: an integer $>0$. When append is true, specifies how many entries in the output vectors are already filled. @@ -129,10 +129,10 @@ Intent: in.
    Specified as: an integer $>0$, default: $row$.

    @@ -207,12 +207,12 @@ An integer value; 0 means no error has been detected.

    1. The output $nz$ is always the size of the output generated by the current call; thus, if append=.true., the total output size will be $nzin+nz$, with the newly extracted coefficients stored in entries nzin+1:nzin+nz of the array arguments;
      2. @@ -229,26 +229,26 @@ An integer value; 0 means no error has been detected.
      - next - up - previous - contents
      - Next: Next: psb_sizeof Memory - Up: Up: Data management routines - Previous: Previous: psb_get_overlap Extract -   Contents
      diff --git a/docs/html/node97.html b/docs/html/node97.html index ed85f3cd..7f94cf70 100644 --- a/docs/html/node97.html +++ b/docs/html/node97.html @@ -23,26 +23,26 @@
      - next - up - previous - contents
      - Next: Next: Sorting utilities - Up: Up: Data management routines - Previous: Previous: psb_sp_getrow Extract -   Contents

      diff --git a/docs/html/node98.html b/docs/html/node98.html index c93a9d41..da637e10 100644 --- a/docs/html/node98.html +++ b/docs/html/node98.html @@ -22,26 +22,26 @@
      - next - up - previous - contents
      - Next: Next: Parallel environment routines - Up: Up: Data management routines - Previous: Previous: psb_sizeof Memory -   Contents

      @@ -70,7 +70,7 @@ call psb_hsort(x,ix,dir,flag)

      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 @@ -96,7 +96,7 @@ Type:optional.
      Specified as: an integer array of (at least) the same size as $X$.

      dir
      @@ -120,7 +120,7 @@ default psb_lsort_up_.
      flag
      Whether to keep the original values in $IX$.
      Type:optional. @@ -182,10 +182,10 @@ position as the corresponding entries in $flag = psb\_sort\_ovw\_idx\_$ then the entries in $ix(1:n)$ where $ix(i) \leftarrow i$; thus, upon return from the subroutine, for each index ; thus, upon return from the subroutine, for each SRC="img4.png" ALT="$i$"> we have in $ix(i)$ the position that the item $x(i)$ occupied in the original data sequence; @@ -219,16 +219,16 @@ i$">; thus, upon return from the subroutine, for each --> $flag = psb\_sort\_keep\_idx\_$ the routine will assume that the entries in $ix(:)$ have already been initialized by the user;
    2. The three sorting algorithms have a similar $O(n \log n)$ expected running time; in the average case quicksort will be the fastest and merge-sort the slowest. However note that: @@ -236,7 +236,7 @@ i$">; thus, upon return from the subroutine, for each
      1. The worst case running time for quicksort is $O(n^2)$; the algorithm implemented here follows the well-known median-of-three heuristics, but the worst case may still apply; @@ -244,7 +244,7 @@ i$">; thus, upon return from the subroutine, for each
      2. The worst case running time for merge-sort and heap-sort is $O(n \log n)$ as the average case;
      3. The merge-sort algorithm is implemented to take advantage of @@ -264,26 +264,26 @@ i$">; thus, upon return from the subroutine, for each
        - next - up - previous - contents
        - Next: Next: Parallel environment routines - Up: Up: Data management routines - Previous: Previous: psb_sizeof Memory -   Contents
        diff --git a/docs/html/node99.html b/docs/html/node99.html index 846e4c02..95f9a443 100644 --- a/docs/html/node99.html +++ b/docs/html/node99.html @@ -14,7 +14,7 @@ - + @@ -23,26 +23,26 @@
        - next - up - previous - contents
        - Next: Next: psb_init Initializes - Up: Up: userhtml - Previous: Previous: Sorting utilities -   Contents

        @@ -60,42 +60,44 @@ Parallel environment routines Subsections
        diff --git a/docs/html/userhtml.html b/docs/html/userhtml.html index c99b1d18..eba632d1 100644 --- a/docs/html/userhtml.html +++ b/docs/html/userhtml.html @@ -338,68 +338,70 @@ of a dense vector
      4. psb_amn -- Global minimum absolute value
      5. psb_snd -- Send data + HREF="node114.html">psb_nrm2 -- Global 2-norm reduction
      6. psb_rcv -- Receive data + HREF="node115.html">psb_snd -- Send data +
      7. psb_rcv -- Receive data
        -
      8. Error handling
      9. Utilities -
          + HREF="node117.html">Error handling
        • hb_read -- Read a sparse matrix from a file in the - Harwell-Boeing format + HREF="node118.html">Utilities +
          -
        • Preconditioner routines -
          • init -- Initialize a preconditioner + HREF="node125.html">Preconditioner routines +
            -
          • Iterative Methods -
            diff --git a/docs/psblas-3.5.pdf b/docs/psblas-3.5.pdf index c734bf6e..296c255d 100644 --- a/docs/psblas-3.5.pdf +++ b/docs/psblas-3.5.pdf @@ -442,7 +442,7 @@ stream endstream endobj -551 0 obj +555 0 obj << /Length 585 >> @@ -470,7 +470,7 @@ ET endstream endobj -561 0 obj +565 0 obj << /Length 77 >> @@ -485,7 +485,7 @@ ET endstream endobj -612 0 obj +616 0 obj << /Length 16991 >> @@ -1085,19 +1085,19 @@ endobj /Type /ObjStm /N 100 /First 865 -/Length 7353 +/Length 7128 >> stream 403 0 407 44 408 70 411 114 412 140 415 184 416 220 419 264 420 297 423 341 424 368 427 412 428 441 431 485 432 512 435 556 436 583 439 627 440 652 443 696 -444 721 447 765 448 790 451 834 452 859 455 903 456 928 459 972 460 997 463 1041 -464 1066 467 1108 468 1139 471 1183 472 1212 475 1256 476 1283 479 1327 480 1368 483 1412 -484 1450 487 1492 488 1518 491 1562 492 1587 495 1631 496 1657 499 1702 500 1734 503 1779 -504 1813 507 1858 508 1891 511 1936 512 1971 515 2014 516 2055 519 2100 520 2127 523 2172 -524 2200 527 2245 528 2273 531 2318 532 2346 535 2391 536 2411 539 2456 540 2483 543 2526 -544 2561 547 2606 548 2634 549 2679 552 2793 553 2849 3 2905 550 2959 560 3064 562 3178 -559 3235 611 3301 563 3795 564 3941 565 4087 566 4239 567 4391 568 4543 569 4700 570 4852 -571 4998 572 5150 573 5306 574 5453 575 5600 576 5748 577 5896 578 6044 579 6192 580 6340 +444 721 447 765 448 790 451 834 452 859 455 903 456 928 459 972 460 998 463 1042 +464 1067 467 1111 468 1136 471 1178 472 1209 475 1253 476 1282 479 1326 480 1353 483 1397 +484 1438 487 1482 488 1520 491 1562 492 1588 495 1632 496 1657 499 1702 500 1728 503 1773 +504 1805 507 1850 508 1884 511 1929 512 1962 515 2007 516 2042 519 2085 520 2126 523 2171 +524 2198 527 2243 528 2271 531 2316 532 2344 535 2389 536 2417 539 2462 540 2482 543 2527 +544 2554 547 2597 548 2632 551 2677 552 2705 553 2750 556 2864 557 2920 3 2976 554 3030 +564 3135 566 3249 563 3306 615 3372 567 3866 568 4012 569 4158 570 4310 571 4462 572 4614 +573 4771 574 4923 575 5069 576 5221 577 5377 578 5524 579 5671 580 5819 581 5967 582 6115 % 403 0 obj << /S /GoTo /D (section*.79) >> % 407 0 obj @@ -1153,149 +1153,153 @@ stream % 456 0 obj << /S /GoTo /D (section*.92) >> % 459 0 obj -(psb\137snd) +(psb\137nrm2) % 460 0 obj << /S /GoTo /D (section*.93) >> % 463 0 obj -(psb\137rcv) +(psb\137snd) % 464 0 obj -<< /S /GoTo /D (section.8) >> +<< /S /GoTo /D (section*.94) >> % 467 0 obj -(8 Error handling) +(psb\137rcv) % 468 0 obj -<< /S /GoTo /D (section*.94) >> +<< /S /GoTo /D (section.8) >> % 471 0 obj -(psb\137errpush) +(8 Error handling) % 472 0 obj << /S /GoTo /D (section*.95) >> % 475 0 obj -(psb\137error) +(psb\137errpush) % 476 0 obj << /S /GoTo /D (section*.96) >> % 479 0 obj -(psb\137set\137errverbosity) +(psb\137error) % 480 0 obj << /S /GoTo /D (section*.97) >> % 483 0 obj -(psb\137set\137erraction) +(psb\137set\137errverbosity) % 484 0 obj -<< /S /GoTo /D (section.9) >> +<< /S /GoTo /D (section*.98) >> % 487 0 obj -(9 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[-329(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-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 - [-1084(79)]TJ + [-1084(82)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -18.586 -12.079 Td [(psb)]TJ @@ -1915,7 +1903,7 @@ BT 0 g 0 G [-934(.)-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(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1084(80)]TJ + [-1084(83)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -18.586 -12.08 Td [(psb)]TJ @@ -1929,7 +1917,7 @@ BT 0 g 0 G [-712(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1084(82)]TJ + [-1084(85)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -18.586 -12.08 Td [(psb)]TJ @@ -1943,7 +1931,7 @@ BT 0 g 0 G [-576(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1084(83)]TJ + [-1084(86)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -18.586 -12.079 Td [(psb)]TJ @@ -1957,7 +1945,7 @@ BT 0 g 0 G [-551(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1084(84)]TJ + [-1084(87)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -18.586 -12.08 Td [(psb)]TJ @@ -1985,7 +1973,7 @@ BT 0 g 0 G [-747(.)-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 - [-1083(85)]TJ + [-1083(88)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -52.879 -12.08 Td [(psb)]TJ @@ -2013,7 +2001,7 @@ BT 0 g 0 G [-748(.)-500(.)-500(.)-499(.)-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 - [-1083(87)]TJ + [-1083(90)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -47.068 -12.08 Td [(psb)]TJ @@ -2034,7 +2022,7 @@ BT 0 g 0 G [-880(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1084(88)]TJ + [-1084(91)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -28.869 -12.079 Td [(psb)]TJ @@ -2055,7 +2043,7 @@ BT 0 g 0 G [-746(.)-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 - [-1083(89)]TJ + [-1083(92)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -49.57 -12.08 Td [(psb)]TJ @@ -2076,7 +2064,7 @@ BT 0 g 0 G [-824(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1084(90)]TJ + [-1084(93)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -28.869 -12.08 Td [(psb)]TJ @@ -2097,7 +2085,7 @@ BT 0 g 0 G [-691(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1084(91)]TJ + [-1084(94)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -42.374 -12.079 Td [(psb)]TJ @@ -2118,7 +2106,7 @@ BT 0 g 0 G [-354(.)-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 - [-1083(92)]TJ + [-1083(95)]TJ 0 g 0 G 0 g 0 G 118.688 -29.888 Td [(ii)]TJ @@ -2127,9 +2115,9 @@ ET endstream endobj -710 0 obj +715 0 obj << -/Length 17570 +/Length 18018 >> stream 0 g 0 G @@ -2154,7 +2142,7 @@ BT 0 g 0 G [-605(.)-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(.)-499(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1084(93)]TJ + [-1084(96)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -35.456 -11.955 Td [(psb)]TJ @@ -2175,7 +2163,7 @@ BT 0 g 0 G [-433(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1084(94)]TJ + [-1084(97)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -31.637 -11.955 Td [(psb)]TJ @@ -2189,19 +2177,19 @@ BT 0 g 0 G [-740(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1084(96)]TJ + [-1084(99)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -18.586 -11.956 Td [(Sorting)-333(utilities)]TJ 0 g 0 G [-519(.)-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 - [-1083(97)]TJ + [-583(100)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG /F27 9.9626 Tf -14.944 -21.917 Td [(7)-925(P)32(arallel)-384(en)32(vironmen)32(t)-383(routines)]TJ 0 g 0 G - [-16891(99)]TJ + [-16316(102)]TJ 0 0 1 rg 0 0 1 RG /F8 9.9626 Tf 14.944 -11.956 Td [(psb)]TJ ET @@ -2214,7 +2202,7 @@ BT 0 g 0 G [-829(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-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 - [-583(100)]TJ + [-583(103)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -18.586 -11.955 Td [(psb)]TJ @@ -2228,7 +2216,7 @@ BT 0 g 0 G [-690(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-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 - [-584(101)]TJ + [-584(104)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -18.586 -11.955 Td [(psb)]TJ @@ -2242,7 +2230,7 @@ BT 0 g 0 G [-690(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-584(102)]TJ + [-584(105)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -18.586 -11.955 Td [(psb)]TJ @@ -2263,7 +2251,7 @@ BT 0 g 0 G [-1024(.)-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 - [-583(103)]TJ + [-583(106)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -35.456 -11.955 Td [(psb)]TJ @@ -2284,7 +2272,7 @@ BT 0 g 0 G [-994(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-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 - [-584(104)]TJ + [-584(107)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -35.456 -11.955 Td [(psb)]TJ @@ -2298,7 +2286,7 @@ BT 0 g 0 G [-440(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-584(105)]TJ + [-584(108)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -18.586 -11.956 Td [(psb)]TJ @@ -2312,7 +2300,7 @@ BT 0 g 0 G [-931(.)-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(.)-499(.)]TJ 0 g 0 G - [-584(106)]TJ + [-584(109)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -18.586 -11.955 Td [(psb)]TJ @@ -2326,7 +2314,7 @@ BT 0 g 0 G [-742(.)-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(.)-499(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-584(107)]TJ + [-584(110)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -18.586 -11.955 Td [(psb)]TJ @@ -2340,7 +2328,7 @@ BT 0 g 0 G [-795(.)-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(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-584(108)]TJ + [-584(111)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -18.586 -11.955 Td [(psb)]TJ @@ -2354,7 +2342,7 @@ BT 0 g 0 G [-546(.)-499(.)-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(.)-499(.)]TJ 0 g 0 G - [-584(109)]TJ + [-584(112)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -18.586 -11.955 Td [(psb)]TJ @@ -2368,7 +2356,7 @@ BT 0 g 0 G [-468(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-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 - [-583(110)]TJ + [-583(113)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -18.586 -11.955 Td [(psb)]TJ @@ -2382,7 +2370,7 @@ BT 0 g 0 G [-662(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-584(111)]TJ + [-584(114)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -18.586 -11.956 Td [(psb)]TJ @@ -2396,7 +2384,7 @@ BT 0 g 0 G 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-Q -0 g 0 G -BT -/F8 9.9626 Tf 228.067 498.354 Td [(T)83(able)-333(3:)-444(Data)-334(t)28(yp)-28(es)]TJ -0 g 0 G -0 g 0 G -0 g 0 G -/F27 9.9626 Tf -128.172 -28.356 Td [(T)32(yp)-32(e:)]TJ -0 g 0 G -/F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ -0 g 0 G -/F27 9.9626 Tf -33.797 -18.428 Td [(On)-383(En)32(try)]TJ -0 g 0 G -0 g 0 G - 0 -18.429 Td [(x)]TJ -0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(the)-333(lo)-28(cal)-333(p)-28(ortion)-333(of)-334(global)-333(dense)-333(matrix)]TJ/F11 9.9626 Tf 176.118 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ -167.933 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-255(as:)-405(a)-255(rank)-254(one)-255(or)-255(t)28(w)27(o)-254(arra)27(y)-254(or)-255(an)-255(ob)-55(jec)-1(t)-254(of)-255(t)28(yp)-28(e)]TJ -0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 244.743 0 Td [(psb)]TJ +/F8 9.9626 Tf 383.581 431.16 Td [(a)-386(,)-288(i)-127(n)-127(f)-127(o)-415(,)-302(g)-141(l)-142(o)-141(b)-141(a)-141(l)-190(=)-48(.)]TJ/F27 9.9626 Tf 92.224 0 Td [(f)-132(a)-131(l)-132(s)-131(e)]TJ/F8 9.9626 Tf 30.348 0 Td [(.)-178(\051)]TJ -305.352 -11.955 Td [(v)-128(r)-129(e)-128(s)-259(\050)-130(3)-131(\051)-642(=)-625(p)-115(s)-114(b)]TJ ET q -1 0 0 1 385.864 385.52 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +1 0 0 1 279.461 419.404 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F30 9.9626 Tf 389.002 385.321 Td [(T)]TJ +/F8 9.9626 Tf 283.591 419.205 Td [(g)-115(e)-114(d)-115(o)-114(t)-220(\050)-149(x)-43(3)-247(,)-204(y)-43(3)-248(,)-273(d)-113(e)-113(s)-112(c)]TJ ET q -1 0 0 1 394.86 385.52 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +1 0 0 1 379.47 419.404 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F30 9.9626 Tf 397.998 385.321 Td [(vect)]TJ +/F8 9.9626 Tf 383.581 419.205 Td [(a)-386(,)-288(i)-127(n)-127(f)-127(o)-415(,)-302(g)-141(l)-142(o)-141(b)-141(a)-141(l)-190(=)-48(.)]TJ/F27 9.9626 Tf 92.224 0 Td [(f)-132(a)-131(l)-132(s)-131(e)]TJ/F8 9.9626 Tf 30.348 0 Td [(.)-178(\051)]TJ/F27 9.9626 Tf -305.254 -11.955 Td [(c)-138(a)-138(l)-139(l)]TJ/F8 9.9626 Tf 29.198 0 Td [(p)-69(s)-69(b)]TJ ET q -1 0 0 1 419.547 385.52 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +1 0 0 1 247.753 407.449 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F30 9.9626 Tf 422.685 385.321 Td [(type)]TJ +/F8 9.9626 Tf 251.428 407.25 Td [(s)-69(u)-69(m)-174(\050)-245(i)-139(c)-139(t)-138(x)-139(t)-439(,)-290(v)-128(r)-128(e)-129(s)-293(\050)-165(1)-165(:)-165(3)-165(\051)-165(\051)]TJ 0 g 0 G -/F8 9.9626 Tf -297.883 -11.955 Td [(con)28(taining)-375(n)27(u)1(m)27(b)-27(e)-1(r)1(s)-376(of)-375(t)28(yp)-28(e)-375(sp)-28(eci\014ed)-375(in)-375(T)83(able)]TJ -0 0 1 rg 0 0 1 RG - 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Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -24.907 -19.613 Td [(desc)]TJ +/F27 9.9626 Tf -84.067 -18.428 Td [(desc)]TJ ET q -1 0 0 1 121.81 310.038 cm +1 0 0 1 121.81 253.022 cm []0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F27 9.9626 Tf 125.247 309.839 Td [(a)]TJ +/F27 9.9626 Tf 125.247 252.823 Td [(a)]TJ 0 g 0 G -/F8 9.9626 Tf 10.551 0 Td [(con)28(tains)-334(d)1(ata)-334(structures)-333(for)-333(com)-1(m)28(unications.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(ob)-55(ject)-334(of)-333(t)28(yp)-28(e)]TJ +/F8 9.9626 Tf 10.551 0 Td [(con)28(tains)-334(d)1(ata)-334(structures)-333(for)-333(com)-1(m)28(unications.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(ob)-55(ject)-334(of)-333(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG /F30 9.9626 Tf 135.658 0 Td [(psb)]TJ ET q -1 0 0 1 276.779 262.217 cm +1 0 0 1 276.779 205.202 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 279.917 262.018 Td [(desc)]TJ +/F30 9.9626 Tf 279.917 205.003 Td [(desc)]TJ ET q -1 0 0 1 301.466 262.217 cm +1 0 0 1 301.466 205.202 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 304.604 262.018 Td [(type)]TJ +/F30 9.9626 Tf 304.604 205.003 Td [(type)]TJ 0 g 0 G /F8 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -225.631 -19.614 Td [(On)-383(Return)]TJ +/F27 9.9626 Tf -225.631 -18.429 Td [(On)-383(Return)]TJ +0 g 0 G 0 g 0 G + 0 -18.428 Td [(res)]TJ 0 g 0 G - 0 -19.613 Td [(F)96(unction)-384(v)64(alue)]TJ +/F8 9.9626 Tf 19.47 0 Td [(is)-333(the)-334(dot)-333(pro)-28(duct)-333(of)-333(sub)28(v)27(ectors)]TJ/F11 9.9626 Tf 142.19 0 Td [(x)]TJ/F8 9.9626 Tf 9.014 0 Td [(and)]TJ/F11 9.9626 Tf 19.372 0 Td [(y)]TJ/F8 9.9626 Tf 5.242 0 Td [(.)]TJ -170.381 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(Sp)-28(eci\014ed)-357(as)-1(:)-493(a)-357(n)27(um)28(b)-28(er)-357(or)-358(a)-358(rank-one)-358(ar)1(ra)27(y)-357(of)-358(the)-358(data)-358(t)28(yp)-27(e)-358(indicated)-358(in)]TJ 0 -11.955 Td [(T)83(able)]TJ +0 0 1 rg 0 0 1 RG + [-333(2)]TJ 0 g 0 G -/F8 9.9626 Tf 78.387 0 Td [(is)-333(the)-334(in\014ni)1(t)27(y)-333(norm)-333(of)-334(sub)28(v)28(ector)]TJ/F11 9.9626 Tf 143.517 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ -202.691 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(long)-333(precision)-333(real)-334(n)28(um)28(b)-28(er.)]TJ + [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -24.907 -19.614 Td [(info)]TJ + 141.968 -29.888 Td [(33)]TJ 0 g 0 G -/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.149 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detecte)-1(d)1(.)]TJ +ET + +endstream +endobj +1025 0 obj +<< +/Length 625 +>> +stream +0 g 0 G +0 g 0 G +0 g 0 G +BT +/F27 9.9626 Tf 150.705 706.129 Td [(info)]TJ +0 g 0 G +/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.148 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)27(t)1(e)-1(ger)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detec)-1(ted.)]TJ 0 g 0 G - 141.968 -41.008 Td [(35)]TJ + 141.968 -567.87 Td [(34)]TJ 0 g 0 G ET endstream endobj -1029 0 obj +1032 0 obj << -/Length 6310 +/Length 6858 >> stream 0 g 0 G 0 g 0 G BT -/F16 11.9552 Tf 150.705 706.129 Td [(psb)]TJ +/F16 11.9552 Tf 99.895 706.129 Td [(psb)]TJ ET q -1 0 0 1 171.761 706.328 cm +1 0 0 1 120.951 706.328 cm []0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q BT -/F16 11.9552 Tf 175.796 706.129 Td [(geamaxs)-375(|)-375(Generalized)-375(In\014nit)31(y)-375(Norm)]TJ/F8 9.9626 Tf -25.091 -18.389 Td [(This)-359(subroutine)-359(computes)-360(a)-359(series)-359(of)-359(in\014nit)28(y)-359(norms)-360(on)-359(the)-359(columns)-359(of)-359(a)-359(dense)]TJ 0 -11.956 Td [(matrix)]TJ/F11 9.9626 Tf 32.406 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(:)]TJ/F11 9.9626 Tf 87.106 -11.955 Td [(r)-28(es)]TJ/F8 9.9626 Tf 14.08 0 Td [(\050)]TJ/F11 9.9626 Tf 3.875 0 Td [(i)]TJ/F8 9.9626 Tf 3.432 0 Td [(\051)]TJ/F14 9.9626 Tf 6.642 0 Td [(\040)]TJ/F8 9.9626 Tf 12.73 0 Td [(max)]TJ/F10 6.9738 Tf 7.069 -6.503 Td [(k)]TJ/F14 9.9626 Tf 13.133 6.503 Td [(j)]TJ/F11 9.9626 Tf 2.767 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(\050)]TJ/F11 9.9626 Tf 3.875 0 Td [(k)-31(;)-167(i)]TJ/F8 9.9626 Tf 13.36 0 Td [(\051)]TJ/F14 9.9626 Tf 3.874 0 Td [(j)]TJ +/F16 11.9552 Tf 124.986 706.129 Td [(normi)-375(|)-375(In\014nit)31(y-Norm)-375(of)-375(V)94(ector)]TJ/F8 9.9626 Tf -25.091 -19.477 Td [(This)-333(function)-334(computes)-333(the)-333(in\014nit)28(y-norm)-334(of)-333(a)-333(v)27(ector)]TJ/F11 9.9626 Tf 233.182 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ -238.876 -11.955 Td [(If)]TJ/F11 9.9626 Tf 9.963 0 Td [(x)]TJ/F8 9.9626 Tf 9.015 0 Td [(is)-333(a)-334(real)-333(v)28(ector)-334(it)-333(computes)-333(in\014nit)28(y)-334(norm)-333(as:)]TJ/F11 9.9626 Tf 115.269 -23.087 Td [(amax)]TJ/F14 9.9626 Tf 27.741 0 Td [(\040)]TJ/F8 9.9626 Tf 12.73 0 Td [(max)]TJ/F10 6.9738 Tf 7.861 -6.275 Td [(i)]TJ/F14 9.9626 Tf 12.341 6.275 Td [(j)]TJ/F11 9.9626 Tf 2.767 0 Td [(x)]TJ/F10 6.9738 Tf 5.694 -1.494 Td [(i)]TJ/F14 9.9626 Tf 3.317 1.494 Td [(j)]TJ/F8 9.9626 Tf -206.698 -26.317 Td [(else)-333(if)]TJ/F11 9.9626 Tf 28.007 0 Td [(x)]TJ/F8 9.9626 Tf 9.014 0 Td [(is)-333(a)-334(complex)-333(v)28(ector)-334(then)-333(it)-333(computes)-334(the)-333(in\014nit)28(y-norm)-333(as:)]TJ/F11 9.9626 Tf 61.447 -23.087 Td [(amax)]TJ/F14 9.9626 Tf 27.74 0 Td [(\040)]TJ/F8 9.9626 Tf 12.73 0 Td [(max)]TJ/F10 6.9738 Tf 7.862 -6.275 Td [(i)]TJ/F8 9.9626 Tf 12.34 6.275 Td [(\050)]TJ/F14 9.9626 Tf 3.875 0 Td [(j)]TJ/F11 9.9626 Tf 2.767 0 Td [(r)-28(e)]TJ/F8 9.9626 Tf 9.411 0 Td [(\050)]TJ/F11 9.9626 Tf 3.874 0 Td [(x)]TJ/F10 6.9738 Tf 5.694 -1.494 Td [(i)]TJ/F8 9.9626 Tf 3.317 1.494 Td [(\051)]TJ/F14 9.9626 Tf 3.874 0 Td [(j)]TJ/F8 9.9626 Tf 4.981 0 Td [(+)]TJ/F14 9.9626 Tf 9.963 0 Td [(j)]TJ/F11 9.9626 Tf 2.767 0 Td [(im)]TJ/F8 9.9626 Tf 12.18 0 Td [(\050)]TJ/F11 9.9626 Tf 3.874 0 Td [(x)]TJ/F10 6.9738 Tf 5.694 -1.494 Td [(i)]TJ/F8 9.9626 Tf 3.317 1.494 Td [(\051)]TJ/F14 9.9626 Tf 3.874 0 Td [(j)]TJ/F8 9.9626 Tf 2.768 0 Td [(\051)]TJ 0 g 0 G 0 g 0 G -/F30 9.9626 Tf -215.737 -25.377 Td [(call)-525(psb_geamaxs\050res,)-525(x,)-525(desc_a,)-525(info\051)]TJ +/F30 9.9626 Tf -241.37 -26.901 Td [(psb_geamax\050x,)-525(desc_a,)-525(info)-525([,global]\051)]TJ 0 -11.956 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 ET q -1 0 0 1 177.927 614.121 cm -[]0 d 0 J 0.398 w 0 0 m 289.266 0 l S +1 0 0 1 129.083 536.097 cm +[]0 d 0 J 0.398 w 0 0 m 285.336 0 l S Q BT -/F11 9.9626 Tf 183.905 605.553 Td [(r)-28(es)-8770(x)]TJ/F27 9.9626 Tf 221.863 0 Td [(Subroutine)]TJ +/F11 9.9626 Tf 135.06 527.529 Td [(amax)-7677(x)]TJ/F27 9.9626 Tf 221.863 0 Td [(F)96(unction)]TJ ET q -1 0 0 1 177.927 601.768 cm -[]0 d 0 J 0.398 w 0 0 m 289.266 0 l S +1 0 0 1 129.083 523.743 cm +[]0 d 0 J 0.398 w 0 0 m 285.336 0 l S Q BT -/F8 9.9626 Tf 183.905 593.2 Td [(Short)-333(Precision)-334(Real)-1200(Shor)1(t)-334(Precision)-333(Real)-3103(psb)]TJ +/F8 9.9626 Tf 135.06 515.175 Td [(Short)-333(Precision)-334(Real)-1200(Short)-333(Precision)-333(Real)-3103(psb)]TJ ET q -1 0 0 1 421.365 593.399 cm +1 0 0 1 372.52 515.374 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 424.354 593.2 Td [(geamaxs)]TJ -240.449 -11.956 Td [(Long)-333(Precision)-334(Real)-1411(Long)-333(Precision)-333(Real)-3314(psb)]TJ +/F8 9.9626 Tf 375.509 515.175 Td [(geamax)]TJ -240.449 -11.955 Td [(Long)-333(Precision)-334(Real)-1411(Long)-333(Precision)-333(Re)-1(al)-3313(psb)]TJ ET q -1 0 0 1 421.365 581.444 cm +1 0 0 1 372.52 503.419 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 424.354 581.244 Td [(geamaxs)]TJ -240.449 -11.955 Td [(Short)-333(Precision)-334(Real)-1200(Shor)1(t)-334(Precision)-333(Complex)-1200(psb)]TJ +/F8 9.9626 Tf 375.509 503.22 Td [(geamax)]TJ -240.449 -11.955 Td [(Short)-333(Precision)-334(Real)-1200(Short)-333(Precision)-333(Complex)-1200(psb)]TJ ET q -1 0 0 1 421.365 569.489 cm +1 0 0 1 372.52 491.464 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 424.354 569.289 Td [(geamaxs)]TJ -240.449 -11.955 Td [(Long)-333(Precision)-334(Real)-1411(Long)-333(Precision)-333(Complex)-1412(psb)]TJ +/F8 9.9626 Tf 375.509 491.265 Td [(geamax)]TJ -240.449 -11.955 Td [(Long)-333(Precision)-334(Real)-1411(Long)-333(Precision)-333(Com)-1(p)1(lex)-1412(psb)]TJ ET q -1 0 0 1 421.365 557.533 cm +1 0 0 1 372.52 479.509 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 424.354 557.334 Td [(geamaxs)]TJ +/F8 9.9626 Tf 375.509 479.31 Td [(geamax)]TJ ET q -1 0 0 1 177.927 553.548 cm -[]0 d 0 J 0.398 w 0 0 m 289.266 0 l S +1 0 0 1 129.083 475.524 cm +[]0 d 0 J 0.398 w 0 0 m 285.336 0 l S Q 0 g 0 G BT -/F8 9.9626 Tf 278.877 525.509 Td [(T)83(able)-333(5:)-444(Data)-334(t)28(yp)-28(es)]TJ +/F8 9.9626 Tf 228.067 447.485 Td [(T)83(able)-333(4:)-444(Data)-334(t)28(yp)-28(es)]TJ 0 g 0 G 0 g 0 G 0 g 0 G -/F27 9.9626 Tf -128.172 -33.596 Td [(T)32(yp)-32(e:)]TJ +/F27 9.9626 Tf -128.172 -36.518 Td [(T)32(yp)-32(e:)]TJ 0 g 0 G /F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ 0 g 0 G -/F27 9.9626 Tf -33.797 -19.925 Td [(On)-383(En)32(try)]TJ +/F27 9.9626 Tf -33.797 -22.263 Td [(On)-383(En)32(try)]TJ 0 g 0 G 0 g 0 G - 0 -19.926 Td [(x)]TJ + 0 -22.263 Td [(x)]TJ 0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(the)-333(lo)-28(cal)-333(p)-28(ortion)-333(of)-334(global)-333(dense)-333(matrix)]TJ/F11 9.9626 Tf 176.118 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ -167.933 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.378 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-255(as:)-405(a)-255(rank)-254(one)-255(or)-255(t)28(w)28(o)-255(arra)28(y)-255(or)-255(an)-255(ob)-55(ject)-255(of)-255(t)28(yp)-28(e)]TJ +/F8 9.9626 Tf 11.028 0 Td [(the)-333(lo)-28(cal)-333(p)-28(ortion)-333(of)-334(global)-333(dense)-333(matrix)]TJ/F11 9.9626 Tf 176.118 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ -167.933 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-255(as:)-405(a)-255(rank)-254(one)-255(or)-255(t)28(w)27(o)-254(arra)27(y)-254(or)-255(an)-255(ob)-55(jec)-1(t)-254(of)-255(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 244.742 0 Td [(psb)]TJ +/F30 9.9626 Tf 244.743 0 Td [(psb)]TJ ET q -1 0 0 1 436.673 404.441 cm +1 0 0 1 385.864 318.82 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 439.811 404.242 Td [(T)]TJ +/F30 9.9626 Tf 389.002 318.621 Td [(T)]TJ ET q -1 0 0 1 445.669 404.441 cm +1 0 0 1 394.86 318.82 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 448.807 404.242 Td [(vect)]TJ +/F30 9.9626 Tf 397.998 318.621 Td [(vect)]TJ ET q -1 0 0 1 470.356 404.441 cm +1 0 0 1 419.547 318.82 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 473.495 404.242 Td [(type)]TJ +/F30 9.9626 Tf 422.685 318.621 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf -297.884 -11.956 Td [(con)28(taining)-333(n)27(um)28(b)-28(ers)-333(of)-333(t)27(yp)-27(e)-334(sp)-27(ec)-1(i)1(\014ed)-334(in)-333(T)83(able)]TJ +/F8 9.9626 Tf -297.883 -11.956 Td [(con)28(taining)-333(n)27(um)28(b)-28(ers)-333(of)-333(t)28(yp)-28(e)-334(sp)-27(eci\014ed)-334(in)-333(T)83(able)]TJ 0 0 1 rg 0 0 1 RG - [-333(5)]TJ + [-333(4)]TJ 0 g 0 G [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -24.906 -19.925 Td [(desc)]TJ +/F27 9.9626 Tf -24.907 -22.262 Td [(desc)]TJ ET q -1 0 0 1 172.619 372.56 cm +1 0 0 1 121.81 284.602 cm []0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F27 9.9626 Tf 176.057 372.361 Td [(a)]TJ +/F27 9.9626 Tf 125.247 284.403 Td [(a)]TJ 0 g 0 G -/F8 9.9626 Tf 10.55 0 Td [(con)28(tains)-334(data)-333(structures)-333(for)-333(c)-1(omm)28(unications.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(ob)-55(ject)-334(of)-333(t)28(yp)-28(e)]TJ +/F8 9.9626 Tf 10.551 0 Td [(con)28(tains)-334(d)1(ata)-334(structures)-333(for)-333(com)-1(m)28(unications.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(ob)-55(ject)-334(of)-333(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 135.659 0 Td [(psb)]TJ +/F30 9.9626 Tf 135.658 0 Td [(psb)]TJ ET q -1 0 0 1 327.588 324.74 cm +1 0 0 1 276.779 236.781 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 330.727 324.54 Td [(desc)]TJ +/F30 9.9626 Tf 279.917 236.582 Td [(desc)]TJ ET q -1 0 0 1 352.275 324.74 cm +1 0 0 1 301.466 236.781 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 355.414 324.54 Td [(type)]TJ +/F30 9.9626 Tf 304.604 236.582 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.921 0 Td [(.)]TJ +/F8 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -225.63 -19.925 Td [(On)-383(Return)]TJ +/F27 9.9626 Tf -225.631 -22.263 Td [(global)]TJ 0 g 0 G +/F8 9.9626 Tf 34.738 0 Td [(Sp)-28(eci\014es)-357(whether)-357(the)-357(computation)-358(shoul)1(d)-358(include)-357(the)-357(global)-357(reduction)]TJ -9.831 -11.955 Td [(across)-333(all)-334(pro)-27(ce)-1(sses.)]TJ 0 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -70.188 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(logical)-333(scalar.)-445(Default:)]TJ/F30 9.9626 Tf 168.812 0 Td [(global=.true.)]TJ 0 g 0 G - 0 -19.925 Td [(res)]TJ +/F27 9.9626 Tf -193.719 -34.217 Td [(On)-383(Return)]TJ +0 g 0 G +0 g 0 G +/F8 9.9626 Tf 166.875 -29.888 Td [(35)]TJ +0 g 0 G +ET + +endstream +endobj +1037 0 obj +<< +/Length 4565 +>> +stream +0 g 0 G +0 g 0 G +0 g 0 G +BT +/F27 9.9626 Tf 150.705 706.129 Td [(F)96(unction)-384(v)64(alue)]TJ 0 g 0 G -/F8 9.9626 Tf 19.47 0 Td [(is)-333(the)-334(in\014nit)28(y)-333(norm)-333(of)-334(the)-333(columns)-333(of)]TJ/F11 9.9626 Tf 166.183 0 Td [(x)]TJ/F8 9.9626 Tf 5.693 0 Td [(.)]TJ -166.44 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.956 Td [(Sp)-28(eci\014ed)-289(as:)-422(a)-289(n)28(um)28(b)-28(er)-289(or)-289(a)-289(rank)1(-)-1(on)1(e)-289(arra)27(y)-288(of)-289(long)-289(precision)-289(real)-289(n)28(um)28(b)-28(ers.)]TJ +/F8 9.9626 Tf 78.386 0 Td [(is)-333(the)-334(in\014nit)28(y)-333(norm)-333(of)-334(sub)28(v)28(ector)]TJ/F11 9.9626 Tf 143.518 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ -202.692 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.167 0 Td [(global)]TJ/F8 9.9626 Tf 32.653 0 Td [(unless)-291(the)-291(optional)-290(v)55(ariable)]TJ/F30 9.9626 Tf 121.039 0 Td [(global=.false.)]TJ/F8 9.9626 Tf 76.121 0 Td [(as)-291(b)-28(een)-290(sp)-28(ec-)]TJ -261.98 -11.955 Td [(i\014ed)]TJ 0 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(long)-333(precision)-334(r)1(e)-1(al)-333(n)28(um)28(b)-28(er.)]TJ 0 g 0 G /F27 9.9626 Tf -24.906 -19.925 Td [(info)]TJ 0 g 0 G -/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.148 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.956 Td [(An)-333(in)28(te)-1(ger)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detec)-1(ted.)]TJ +/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.148 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.956 Td [(An)-333(in)27(t)1(e)-1(ger)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detec)-1(ted.)]TJ/F16 11.9552 Tf -24.906 -21.917 Td [(Notes)]TJ +0 g 0 G +/F8 9.9626 Tf 12.176 -19.926 Td [(1.)]TJ +0 g 0 G + [-500(The)-241(computation)-240(of)-241(a)-241(gl)1(obal)-241(result)-241(requires)-240(a)-241(global)-241(comm)28(unication,)-259(whic)28(h)]TJ 12.73 -11.955 Td [(en)28(tails)-421(a)-420(s)-1(i)1(gni\014can)27(t)-420(o)28(v)27(erhead.)-706(It)-420(ma)27(y)-420(b)-28(e)-421(necessary)-420(and/or)-421(advisable)-420(to)]TJ 0 -11.955 Td [(compute)-395(m)28(ultiple)-395(norms)-395(at)-395(the)-395(same)-395(time;)-426(in)-395(this)-395(case,)-410(it)-395(is)-395(p)-28(ossible)-395(to)]TJ 0 -11.955 Td [(impro)28(v)28(e)-334(the)-333(run)28(time)-334(e\016ciency)-333(b)28(y)-334(using)-333(the)-333(follo)28(wing)-334(sc)28(heme:)]TJ 25.19 -17.933 Td [(v)-128(r)-129(e)-128(s)-259(\050)-130(1)-131(\051)-642(=)-586(p)-75(s)-76(b)]TJ +ET +q +1 0 0 1 277.899 507.075 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F8 9.9626 Tf 281.638 506.876 Td [(g)-75(e)-76(a)-75(m)-76(a)-75(x)-181(\050)-148(x)-43(1)-248(,)-273(d)-113(e)-113(s)-112(c)]TJ +ET +q +1 0 0 1 367.515 507.075 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F8 9.9626 Tf 371.626 506.876 Td [(a)-386(,)-288(i)-127(n)-127(f)-127(o)-415(,)-302(g)-141(l)-142(o)-141(b)-141(a)-141(l)-190(=)-48(.)]TJ/F27 9.9626 Tf 92.223 0 Td [(f)-132(a)-131(l)-132(s)-131(e)]TJ/F8 9.9626 Tf 30.349 0 Td [(.)-178(\051)]TJ -293.397 -11.955 Td [(v)-128(r)-129(e)-128(s)-259(\050)-130(2)-131(\051)-642(=)-586(p)-75(s)-76(b)]TJ +ET +q +1 0 0 1 277.899 495.12 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F8 9.9626 Tf 281.638 494.921 Td [(g)-75(e)-76(a)-75(m)-76(a)-75(x)-181(\050)-148(x)-43(2)-248(,)-273(d)-113(e)-113(s)-112(c)]TJ +ET +q +1 0 0 1 367.515 495.12 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F8 9.9626 Tf 371.626 494.921 Td [(a)-386(,)-288(i)-127(n)-127(f)-127(o)-415(,)-302(g)-141(l)-142(o)-141(b)-141(a)-141(l)-190(=)-48(.)]TJ/F27 9.9626 Tf 92.223 0 Td [(f)-132(a)-131(l)-132(s)-131(e)]TJ/F8 9.9626 Tf 30.349 0 Td [(.)-178(\051)]TJ -293.397 -11.955 Td [(v)-128(r)-129(e)-128(s)-259(\050)-130(3)-131(\051)-642(=)-586(p)-75(s)-76(b)]TJ +ET +q +1 0 0 1 277.899 483.165 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F8 9.9626 Tf 281.638 482.966 Td [(g)-75(e)-76(a)-75(m)-76(a)-75(x)-181(\050)-148(x)-43(3)-248(,)-273(d)-113(e)-113(s)-112(c)]TJ +ET +q +1 0 0 1 367.515 483.165 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F8 9.9626 Tf 371.626 482.966 Td [(a)-386(,)-288(i)-127(n)-127(f)-127(o)-415(,)-302(g)-141(l)-142(o)-141(b)-141(a)-141(l)-190(=)-48(.)]TJ/F27 9.9626 Tf 92.223 0 Td [(f)-132(a)-131(l)-132(s)-131(e)]TJ/F8 9.9626 Tf 30.349 0 Td [(.)-178(\051)]TJ/F27 9.9626 Tf -293.299 -11.955 Td [(c)-138(a)-138(l)-139(l)]TJ/F8 9.9626 Tf 29.101 0 Td [(p)-59(s)-59(b)]TJ +ET +q +1 0 0 1 247.365 471.21 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F8 9.9626 Tf 250.944 471.011 Td [(a)-59(m)-59(x)-165(\050)-245(i)-138(c)-139(t)-139(x)-139(t)-439(,)-289(v)-129(r)-128(e)-128(s)-294(\050)-165(1)-165(:)-165(3)-165(\051)-165(\051)]TJ +0 g 0 G 0 g 0 G - 141.968 -90.64 Td [(36)]TJ + -75.333 -21.918 Td [(In)-354(th)1(is)-354(w)28(a)28(y)-354(the)-353(global)-354(comm)28(unication,)-359(whic)28(h)-353(for)-354(small)-353(size)-1(s)-353(is)-354(a)-353(latency-)]TJ 0 -11.955 Td [(b)-28(ound)-333(op)-28(eration,)-333(is)-333(in)27(v)28(ok)28(ed)-333(only)-334(once.)]TJ +0 g 0 G + 141.968 -346.7 Td [(36)]TJ 0 g 0 G ET endstream endobj -1037 0 obj +1050 0 obj << -/Length 6740 +/Length 6326 >> stream 0 g 0 G @@ -9387,155 +9359,155 @@ q []0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q BT -/F16 11.9552 Tf 124.986 706.129 Td [(norm1)-375(|)-375(1-Norm)-375(of)-375(V)94(ector)]TJ/F8 9.9626 Tf -25.091 -18.389 Td [(This)-333(function)-334(computes)-333(the)-333(1-norm)-334(of)-333(a)-333(v)27(ector)]TJ/F11 9.9626 Tf 207.168 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ -212.862 -11.956 Td [(If)]TJ/F11 9.9626 Tf 9.963 0 Td [(x)]TJ/F8 9.9626 Tf 9.015 0 Td [(is)-333(a)-334(real)-333(v)28(ector)-334(it)-333(computes)-333(1-norm)-334(as:)]TJ/F11 9.9626 Tf 123.449 -21.772 Td [(asum)]TJ/F14 9.9626 Tf 27.154 0 Td [(\040)-278(k)]TJ/F11 9.9626 Tf 17.711 0 Td [(x)]TJ/F10 6.9738 Tf 5.694 -1.494 Td [(i)]TJ/F14 9.9626 Tf 3.317 1.494 Td [(k)]TJ/F8 9.9626 Tf -196.303 -21.772 Td [(else)-333(if)]TJ/F11 9.9626 Tf 28.006 0 Td [(x)]TJ/F8 9.9626 Tf 9.015 0 Td [(is)-333(a)-334(complex)-333(v)28(ector)-334(then)-333(it)-333(computes)-334(1-norm)-333(as:)]TJ/F11 9.9626 Tf 70.135 -21.772 Td [(asum)]TJ/F14 9.9626 Tf 27.154 0 Td [(\040)-278(k)]TJ/F11 9.9626 Tf 17.711 0 Td [(r)-28(e)]TJ/F8 9.9626 Tf 9.411 0 Td [(\050)]TJ/F11 9.9626 Tf 3.874 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(\051)]TJ/F14 9.9626 Tf 3.874 0 Td [(k)]TJ/F7 6.9738 Tf 4.982 -1.494 Td [(1)]TJ/F8 9.9626 Tf 6.683 1.494 Td [(+)]TJ/F14 9.9626 Tf 9.962 0 Td [(k)]TJ/F11 9.9626 Tf 4.982 0 Td [(im)]TJ/F8 9.9626 Tf 12.179 0 Td [(\050)]TJ/F11 9.9626 Tf 3.875 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(\051)]TJ/F14 9.9626 Tf 3.874 0 Td [(k)]TJ/F7 6.9738 Tf 4.981 -1.494 Td [(1)]TJ +/F16 11.9552 Tf 124.986 706.129 Td [(geamaxs)-375(|)-375(Generalized)-375(In\014nit)31(y)-375(Norm)]TJ/F8 9.9626 Tf -25.091 -18.389 Td [(This)-359(subroutine)-359(computes)-360(a)-359(series)-359(of)-359(in\014nit)28(y)-359(norms)-360(on)-359(the)-359(columns)-359(of)-359(a)-360(d)1(e)-1(n)1(s)-1(e)]TJ 0 -11.956 Td [(matrix)]TJ/F11 9.9626 Tf 32.407 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(:)]TJ/F11 9.9626 Tf 87.106 -11.955 Td [(r)-28(es)]TJ/F8 9.9626 Tf 14.08 0 Td [(\050)]TJ/F11 9.9626 Tf 3.874 0 Td [(i)]TJ/F8 9.9626 Tf 3.433 0 Td [(\051)]TJ/F14 9.9626 Tf 6.641 0 Td [(\040)]TJ/F8 9.9626 Tf 12.73 0 Td [(max)]TJ/F10 6.9738 Tf 7.069 -6.503 Td [(k)]TJ/F14 9.9626 Tf 13.133 6.503 Td [(j)]TJ/F11 9.9626 Tf 2.768 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(\050)]TJ/F11 9.9626 Tf 3.874 0 Td [(k)-31(;)-167(i)]TJ/F8 9.9626 Tf 13.36 0 Td [(\051)]TJ/F14 9.9626 Tf 3.875 0 Td [(j)]TJ 0 g 0 G 0 g 0 G -/F30 9.9626 Tf -232.086 -20.278 Td [(psb_geasum\050x,)-525(desc_a,)-525(info\051)]TJ 0 -11.955 Td [(psb_norm1\050x,)-525(desc_a,)-525(info\051)]TJ +/F30 9.9626 Tf -215.738 -25.377 Td [(call)-525(psb_geamaxs\050res,)-525(x,)-525(desc_a,)-525(info\051)]TJ 0 g 0 G 0 g 0 G 0 g 0 G ET q -1 0 0 1 129.47 552.614 cm -[]0 d 0 J 0.398 w 0 0 m 284.561 0 l S +1 0 0 1 127.118 614.121 cm +[]0 d 0 J 0.398 w 0 0 m 289.266 0 l S Q BT -/F11 9.9626 Tf 135.448 544.046 Td [(asum)-7735(x)]TJ/F27 9.9626 Tf 221.863 0 Td [(F)96(unction)]TJ +/F11 9.9626 Tf 133.096 605.553 Td [(r)-28(es)-8770(x)]TJ/F27 9.9626 Tf 221.862 0 Td [(Subroutine)]TJ ET q -1 0 0 1 129.47 540.26 cm -[]0 d 0 J 0.398 w 0 0 m 284.561 0 l S +1 0 0 1 127.118 601.768 cm +[]0 d 0 J 0.398 w 0 0 m 289.266 0 l S Q BT -/F8 9.9626 Tf 135.448 531.692 Td [(Short)-333(Precision)-334(Real)-1200(Sh)1(o)-1(r)1(t)-334(Precision)-333(Real)-3103(psb)]TJ +/F8 9.9626 Tf 133.096 593.2 Td [(Short)-333(Precision)-334(Real)-1200(Sh)1(ort)-334(Precision)-333(Real)-3103(psb)]TJ ET q -1 0 0 1 372.908 531.891 cm +1 0 0 1 370.556 593.399 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 375.897 531.692 Td [(geasum)]TJ -240.449 -11.955 Td [(Long)-333(Precision)-334(Real)-1411(Long)-333(Precision)-333(Real)-3314(psb)]TJ +/F8 9.9626 Tf 373.544 593.2 Td [(geamaxs)]TJ -240.448 -11.956 Td [(Long)-333(Precision)-334(Real)-1411(Long)-333(Precision)-333(Real)-3314(psb)]TJ ET q -1 0 0 1 372.908 519.936 cm +1 0 0 1 370.556 581.444 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 375.897 519.737 Td [(geasum)]TJ -240.449 -11.955 Td [(Short)-333(Precision)-334(Real)-1200(Sh)1(o)-1(r)1(t)-334(Precision)-333(Complex)-1200(psb)]TJ +/F8 9.9626 Tf 373.544 581.244 Td [(geamaxs)]TJ -240.448 -11.955 Td [(Short)-333(Precision)-334(Real)-1200(Sh)1(ort)-334(Precision)-333(Complex)-1200(psb)]TJ ET q -1 0 0 1 372.908 507.981 cm +1 0 0 1 370.556 569.489 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 375.897 507.782 Td [(geasum)]TJ -240.449 -11.955 Td [(Long)-333(Precision)-334(Real)-1411(Long)-333(Precision)-333(Complex)-1412(psb)]TJ +/F8 9.9626 Tf 373.544 569.289 Td [(geamaxs)]TJ -240.448 -11.955 Td [(Long)-333(Precision)-334(Real)-1411(Long)-333(Precision)-333(Complex)-1412(p)1(s)-1(b)]TJ ET q -1 0 0 1 372.908 496.026 cm +1 0 0 1 370.556 557.533 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 375.897 495.827 Td [(geasum)]TJ +/F8 9.9626 Tf 373.544 557.334 Td [(geamaxs)]TJ ET q -1 0 0 1 129.47 492.041 cm -[]0 d 0 J 0.398 w 0 0 m 284.561 0 l S +1 0 0 1 127.118 553.548 cm +[]0 d 0 J 0.398 w 0 0 m 289.266 0 l S Q 0 g 0 G BT -/F8 9.9626 Tf 228.067 464.002 Td [(T)83(able)-333(6:)-444(Data)-334(t)28(yp)-28(es)]TJ +/F8 9.9626 Tf 228.067 525.509 Td [(T)83(able)-333(5:)-444(Data)-334(t)28(yp)-28(es)]TJ 0 g 0 G 0 g 0 G 0 g 0 G -/F27 9.9626 Tf -128.172 -33.393 Td [(T)32(yp)-32(e:)]TJ +/F27 9.9626 Tf -128.172 -33.596 Td [(T)32(yp)-32(e:)]TJ 0 g 0 G /F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ 0 g 0 G -/F27 9.9626 Tf -33.797 -19.867 Td [(On)-383(En)32(try)]TJ +/F27 9.9626 Tf -33.797 -19.925 Td [(On)-383(En)32(try)]TJ 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cm +1 0 0 1 394.86 404.441 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 397.998 343.055 Td [(vect)]TJ +/F30 9.9626 Tf 397.998 404.242 Td [(vect)]TJ ET q -1 0 0 1 419.547 343.254 cm +1 0 0 1 419.547 404.441 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 422.685 343.055 Td [(type)]TJ +/F30 9.9626 Tf 422.685 404.242 Td [(type)]TJ 0 g 0 G /F8 9.9626 Tf -297.883 -11.956 Td [(con)28(taining)-333(n)27(um)28(b)-28(ers)-333(of)-333(t)28(yp)-28(e)-334(sp)-27(eci\014ed)-334(in)-333(T)83(able)]TJ 0 0 1 rg 0 0 1 RG - [-333(6)]TJ + [-333(5)]TJ 0 g 0 G [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -24.907 -19.867 Td [(desc)]TJ +/F27 9.9626 Tf -24.907 -19.925 Td [(desc)]TJ ET q -1 0 0 1 121.81 311.432 cm +1 0 0 1 121.81 372.56 cm []0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F27 9.9626 Tf 125.247 311.232 Td [(a)]TJ +/F27 9.9626 Tf 125.247 372.361 Td [(a)]TJ 0 g 0 G -/F8 9.9626 Tf 10.551 0 Td [(con)28(tains)-334(d)1(ata)-334(structures)-333(for)-333(com)-1(m)28(unications.)]TJ -10.996 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Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detecte)-1(d)1(.)]TJ +/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.149 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.956 Td [(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detecte)-1(d)1(.)]TJ 0 g 0 G - 141.968 -41.642 Td [(37)]TJ + 141.968 -90.64 Td [(37)]TJ 0 g 0 G ET endstream endobj -1046 0 obj +1059 0 obj << -/Length 7351 +/Length 7149 >> stream 0 g 0 G @@ -9548,141 +9520,145 @@ q []0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q BT -/F16 11.9552 Tf 175.796 706.129 Td [(geasums)-375(|)-375(Generalized)-375(1-Norm)-375(of)-375(V)94(ector)]TJ/F8 9.9626 Tf -25.091 -19.22 Td [(This)-310(subroutine)-310(computes)-309(a)-310(series)-310(of)-310(1-norms)-310(on)-310(the)-309(c)-1(olu)1(m)-1(n)1(s)-310(of)-310(a)-310(dense)-310(matrix)]TJ/F11 9.9626 Tf 0 -11.955 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(:)]TJ/F11 9.9626 Tf 119.512 -13.293 Td [(r)-28(es)]TJ/F8 9.9626 Tf 14.081 0 Td [(\050)]TJ/F11 9.9626 Tf 3.874 0 Td [(i)]TJ/F8 9.9626 Tf 3.432 0 Td [(\051)]TJ/F14 9.9626 Tf 6.642 0 Td [(\040)]TJ/F8 9.9626 Tf 12.73 0 Td [(max)]TJ/F10 6.9738 Tf 7.069 -6.503 Td [(k)]TJ/F14 9.9626 Tf 13.133 6.503 Td [(j)]TJ/F11 9.9626 Tf 2.767 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(\050)]TJ/F11 9.9626 Tf 3.875 0 Td [(k)-31(;)-167(i)]TJ/F8 9.9626 Tf 13.36 0 Td [(\051)]TJ/F14 9.9626 Tf 3.874 0 Td [(j)]TJ/F8 9.9626 Tf -215.737 -22.73 Td [(This)-333(function)-334(computes)-333(the)-333(1-norm)-334(of)-333(a)-333(v)28(ec)-1(tor)]TJ/F11 9.9626 Tf 207.168 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ -212.862 -11.955 Td [(If)]TJ/F11 9.9626 Tf 9.963 0 Td [(x)]TJ/F8 9.9626 Tf 9.014 0 Td [(is)-333(a)-334(real)-333(v)28(ector)-334(it)-333(computes)-333(1-norm)-334(as:)]TJ/F11 9.9626 Tf 123.012 -22.81 Td [(r)-28(es)]TJ/F8 9.9626 Tf 14.081 0 Td [(\050)]TJ/F11 9.9626 Tf 3.874 0 Td [(i)]TJ/F8 9.9626 Tf 3.432 0 Td [(\051)]TJ/F14 9.9626 Tf 6.642 0 Td [(\040)-278(k)]TJ/F11 9.9626 Tf 17.711 0 Td [(x)]TJ/F10 6.9738 Tf 5.694 -1.495 Td [(i)]TJ/F14 9.9626 Tf 3.317 1.495 Td [(k)]TJ/F8 9.9626 Tf -196.74 -22.81 Td [(else)-333(if)]TJ/F11 9.9626 Tf 28.006 0 Td [(x)]TJ/F8 9.9626 Tf 9.015 0 Td [(is)-333(a)-334(complex)-333(v)28(ector)-334(then)-333(it)-333(computes)-334(1-norm)-333(as:)]TJ/F11 9.9626 Tf 69.697 -22.81 Td [(r)-28(es)]TJ/F8 9.9626 Tf 14.081 0 Td [(\050)]TJ/F11 9.9626 Tf 3.874 0 Td [(i)]TJ/F8 9.9626 Tf 3.432 0 Td [(\051)]TJ/F14 9.9626 Tf 6.642 0 Td [(\040)-278(k)]TJ/F11 9.9626 Tf 17.711 0 Td [(r)-28(e)]TJ/F8 9.9626 Tf 9.411 0 Td [(\050)]TJ/F11 9.9626 Tf 3.874 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(\051)]TJ/F14 9.9626 Tf 3.874 0 Td [(k)]TJ/F7 6.9738 Tf 4.982 -1.494 Td [(1)]TJ/F8 9.9626 Tf 6.683 1.494 Td [(+)]TJ/F14 9.9626 Tf 9.962 0 Td [(k)]TJ/F11 9.9626 Tf 4.982 0 Td [(im)]TJ/F8 9.9626 Tf 12.179 0 Td [(\050)]TJ/F11 9.9626 Tf 3.875 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(\051)]TJ/F14 9.9626 Tf 3.874 0 Td [(k)]TJ/F7 6.9738 Tf 4.981 -1.494 Td [(1)]TJ +/F16 11.9552 Tf 175.796 706.129 Td [(norm1)-375(|)-375(1-Norm)-375(of)-375(V)94(ector)]TJ/F8 9.9626 Tf -25.091 -18.389 Td [(This)-333(function)-334(computes)-333(the)-333(1-norm)-334(of)-333(a)-333(v)28(ec)-1(tor)]TJ/F11 9.9626 Tf 207.168 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ -212.862 -11.956 Td [(If)]TJ/F11 9.9626 Tf 9.963 0 Td [(x)]TJ/F8 9.9626 Tf 9.014 0 Td [(is)-333(a)-334(real)-333(v)28(ector)-334(it)-333(computes)-333(1-norm)-334(as:)]TJ/F11 9.9626 Tf 123.45 -19.151 Td [(asum)]TJ/F14 9.9626 Tf 27.154 0 Td [(\040)-278(k)]TJ/F11 9.9626 Tf 17.711 0 Td [(x)]TJ/F10 6.9738 Tf 5.694 -1.494 Td [(i)]TJ/F14 9.9626 Tf 3.317 1.494 Td [(k)]TJ/F8 9.9626 Tf -196.303 -19.151 Td [(else)-333(if)]TJ/F11 9.9626 Tf 28.006 0 Td [(x)]TJ/F8 9.9626 Tf 9.015 0 Td [(is)-333(a)-334(complex)-333(v)28(ector)-334(then)-333(it)-333(computes)-334(1-norm)-333(as:)]TJ/F11 9.9626 Tf 70.135 -19.152 Td [(asum)]TJ/F14 9.9626 Tf 27.154 0 Td [(\040)-278(k)]TJ/F11 9.9626 Tf 17.711 0 Td [(r)-28(e)]TJ/F8 9.9626 Tf 9.41 0 Td [(\050)]TJ/F11 9.9626 Tf 3.875 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(\051)]TJ/F14 9.9626 Tf 3.874 0 Td [(k)]TJ/F7 6.9738 Tf 4.981 -1.494 Td [(1)]TJ/F8 9.9626 Tf 6.683 1.494 Td [(+)]TJ/F14 9.9626 Tf 9.963 0 Td [(k)]TJ/F11 9.9626 Tf 4.981 0 Td [(im)]TJ/F8 9.9626 Tf 12.18 0 Td [(\050)]TJ/F11 9.9626 Tf 3.874 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(\051)]TJ/F14 9.9626 Tf 3.875 0 Td [(k)]TJ/F7 6.9738 Tf 4.981 -1.494 Td [(1)]TJ 0 g 0 G 0 g 0 G -/F30 9.9626 Tf -232.523 -21.762 Td [(call)-525(psb_geasums\050res,)-525(x,)-525(desc_a,)-525(info\051)]TJ +/F30 9.9626 Tf -232.086 -17.657 Td [(psb_geasum\050x,)-525(desc_a,)-525(info)-525([,global]\051)]TJ 0 -11.955 Td [(psb_norm1\050x,)-525(desc_a,)-525(info)-525([,global]\051)]TJ 0 g 0 G 0 g 0 G 0 g 0 G ET q -1 0 0 1 178.071 508.729 cm -[]0 d 0 J 0.398 w 0 0 m 288.979 0 l S +1 0 0 1 180.28 566.766 cm +[]0 d 0 J 0.398 w 0 0 m 284.561 0 l S Q BT -/F11 9.9626 Tf 184.049 500.161 Td [(r)-28(es)-8770(x)]TJ/F27 9.9626 Tf 221.862 0 Td [(Subroutine)]TJ +/F11 9.9626 Tf 186.257 558.198 Td [(asum)-7736(x)]TJ/F27 9.9626 Tf 221.863 0 Td [(F)96(unction)]TJ ET q -1 0 0 1 178.071 496.375 cm -[]0 d 0 J 0.398 w 0 0 m 288.979 0 l S +1 0 0 1 180.28 554.412 cm +[]0 d 0 J 0.398 w 0 0 m 284.561 0 l S Q BT -/F8 9.9626 Tf 184.049 487.807 Td [(Short)-333(Precision)-333(R)-1(eal)-1200(S)1(hort)-334(Precision)-333(Real)-3103(psb)]TJ +/F8 9.9626 Tf 186.257 545.845 Td [(Short)-333(Precision)-334(Real)-1200(Short)-333(Precision)-333(Real)-3103(psb)]TJ ET q -1 0 0 1 421.508 488.007 cm +1 0 0 1 423.717 546.044 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT 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9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-255(as:)-405(a)-255(rank)-254(one)-255(or)-255(t)28(w)28(o)-255(arra)28(y)-255(or)-255(an)-255(ob)-55(ject)-255(of)-255(t)28(yp)-28(e)]TJ -0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 244.742 0 Td [(psb)]TJ -ET -q -1 0 0 1 436.673 351.593 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 439.811 351.394 Td [(T)]TJ -ET -q -1 0 0 1 445.669 351.593 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 448.807 351.394 Td [(vect)]TJ -ET -q -1 0 0 1 470.356 351.593 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 473.495 351.394 Td [(type)]TJ -0 g 0 G -/F8 9.9626 Tf -297.884 -11.955 Td [(con)28(taining)-333(n)27(um)28(b)-28(ers)-333(of)-333(t)27(yp)-27(e)-334(sp)-27(ec)-1(i)1(\014ed)-334(in)-333(T)83(able)]TJ -0 0 1 rg 0 0 1 RG - [-333(8)]TJ -0 g 0 G - [(.)]TJ -0 g 0 G -/F27 9.9626 Tf -24.906 -19.311 Td [(desc)]TJ +/F8 9.9626 Tf 320.816 550.712 Td [(a)-386(,)-288(i)-127(n)-127(f)-127(o)-415(,)-302(g)-141(l)-142(o)-141(b)-141(a)-141(l)-190(=)-48(.)]TJ/F27 9.9626 Tf 92.224 0 Td [(f)-132(a)-131(l)-132(s)-131(e)]TJ/F8 9.9626 Tf 30.348 0 Td [(.)-178(\051)]TJ -293.397 -11.955 Td [(v)-128(r)-129(e)-128(s)-259(\050)-131(3)-130(\051)-642(=)-593(p)-83(s)-82(b)]TJ ET q -1 0 0 1 172.619 320.328 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +1 0 0 1 227.371 538.956 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F27 9.9626 Tf 176.057 320.128 Td [(a)]TJ -0 g 0 G -/F8 9.9626 Tf 10.55 0 Td [(con)28(tains)-334(data)-333(structures)-333(for)-333(c)-1(omm)28(unications.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(ob)-55(ject)-334(of)-333(t)28(yp)-28(e)]TJ -0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 135.659 0 Td [(psb)]TJ +/F8 9.9626 Tf 231.181 538.757 Td [(g)-82(e)-83(a)-82(s)-83(u)-82(m)-188(\050)-149(x)-43(3)-247(,)-274(d)-112(e)-113(s)-113(c)]TJ ET q -1 0 0 1 327.588 272.507 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +1 0 0 1 316.705 538.956 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F30 9.9626 Tf 330.727 272.308 Td [(desc)]TJ +/F8 9.9626 Tf 320.816 538.757 Td [(a)-386(,)-288(i)-127(n)-127(f)-127(o)-415(,)-302(g)-141(l)-142(o)-141(b)-141(a)-141(l)-190(=)-48(.)]TJ/F27 9.9626 Tf 92.224 0 Td [(f)-132(a)-131(l)-132(s)-131(e)]TJ/F8 9.9626 Tf 30.348 0 Td [(.)-178(\051)]TJ/F27 9.9626 Tf -293.299 -11.956 Td [(c)-138(a)-138(l)-139(l)]TJ/F8 9.9626 Tf 29.198 0 Td [(p)-69(s)-69(b)]TJ ET q -1 0 0 1 352.275 272.507 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +1 0 0 1 196.943 527.001 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F30 9.9626 Tf 355.414 272.308 Td [(type)]TJ -0 g 0 G -/F8 9.9626 Tf 20.921 0 Td [(.)]TJ -0 g 0 G -/F27 9.9626 Tf -225.63 -19.311 Td [(On)-383(Return)]TJ +/F8 9.9626 Tf 200.618 526.801 Td [(s)-69(u)-69(m)-174(\050)-245(i)-139(c)-139(t)-138(x)-139(t)-439(,)-290(v)-128(r)-128(e)-129(s)-293(\050)-165(1)-165(:)-165(3)-165(\051)-166(\051)]TJ 0 g 0 G 0 g 0 G - 0 -19.311 Td [(F)96(unction)-384(V)96(alue)]TJ + -75.816 -21.917 Td [(In)-353(this)-354(w)28(a)28(y)-354(the)-353(global)-354(comm)28(unication,)-359(whic)28(h)-353(for)-354(small)-353(sizes)-354(is)-354(a)-353(latency-)]TJ 0 -11.956 Td [(b)-28(ound)-333(op)-28(eration,)-333(is)-333(in)28(v)27(ok)28(ed)-333(only)-333(onc)-1(e.)]TJ 0 g 0 G -/F8 9.9626 Tf 80.683 0 Td [(is)-333(the)-334(2-norm)-333(of)-333(sub)27(v)28(ector)]TJ/F11 9.9626 Tf 117.504 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ -178.974 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(global)]TJ/F8 9.9626 Tf -32.378 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-444(a)-334(long)-333(precision)-333(real)-334(n)28(um)28(b)-28(er.)]TJ -0 g 0 G -/F27 9.9626 Tf -24.907 -19.311 Td [(info)]TJ -0 g 0 G -/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.149 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.378 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.034 -11.955 Td [(An)-333(in)28(teger)-334(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detected.)]TJ -0 g 0 G - 141.967 -40.251 Td [(40)]TJ + 141.968 -402.49 Td [(39)]TJ 0 g 0 G ET endstream endobj -1066 0 obj +1077 0 obj << -/Length 6130 +/Length 7351 >> stream 0 g 0 G 0 g 0 G BT -/F16 11.9552 Tf 99.895 706.129 Td [(psb)]TJ +/F16 11.9552 Tf 150.705 706.129 Td [(psb)]TJ ET q -1 0 0 1 120.951 706.328 cm +1 0 0 1 171.761 706.328 cm []0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q BT -/F16 11.9552 Tf 124.986 706.129 Td [(genrm2s)-375(|)-375(Generalized)-375(2-Norm)-375(of)-375(V)94(ector)]TJ/F8 9.9626 Tf -25.091 -18.389 Td [(This)-310(subroutine)-310(computes)-309(a)-310(series)-310(of)-310(2-norms)-310(on)-310(the)-310(columns)-309(of)-310(a)-310(dense)-310(matrix)]TJ/F11 9.9626 Tf 0 -11.956 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(:)]TJ/F11 9.9626 Tf 126.531 -11.955 Td [(r)-28(es)]TJ/F8 9.9626 Tf 14.081 0 Td [(\050)]TJ/F11 9.9626 Tf 3.874 0 Td [(i)]TJ/F8 9.9626 Tf 3.432 0 Td [(\051)]TJ/F14 9.9626 Tf 6.642 0 Td [(\040)-278(k)]TJ/F11 9.9626 Tf 17.711 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(\050:)]TJ/F11 9.9626 Tf 6.642 0 Td [(;)-167(i)]TJ/F8 9.9626 Tf 7.86 0 Td [(\051)]TJ/F14 9.9626 Tf 3.875 0 Td [(k)]TJ/F7 6.9738 Tf 4.981 -1.494 Td [(2)]TJ +/F16 11.9552 Tf 175.796 706.129 Td [(geasums)-375(|)-375(Generalized)-375(1-Norm)-375(of)-375(V)94(ector)]TJ/F8 9.9626 Tf -25.091 -19.22 Td [(This)-310(subroutine)-310(computes)-309(a)-310(series)-310(of)-310(1-norms)-310(on)-310(the)-309(c)-1(olu)1(m)-1(n)1(s)-310(of)-310(a)-310(dense)-310(matrix)]TJ/F11 9.9626 Tf 0 -11.955 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(:)]TJ/F11 9.9626 Tf 119.512 -13.293 Td [(r)-28(es)]TJ/F8 9.9626 Tf 14.081 0 Td [(\050)]TJ/F11 9.9626 Tf 3.874 0 Td [(i)]TJ/F8 9.9626 Tf 3.432 0 Td [(\051)]TJ/F14 9.9626 Tf 6.642 0 Td [(\040)]TJ/F8 9.9626 Tf 12.73 0 Td [(max)]TJ/F10 6.9738 Tf 7.069 -6.503 Td [(k)]TJ/F14 9.9626 Tf 13.133 6.503 Td [(j)]TJ/F11 9.9626 Tf 2.767 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(\050)]TJ/F11 9.9626 Tf 3.875 0 Td [(k)-31(;)-167(i)]TJ/F8 9.9626 Tf 13.36 0 Td [(\051)]TJ/F14 9.9626 Tf 3.874 0 Td [(j)]TJ/F8 9.9626 Tf -215.737 -22.73 Td [(This)-333(function)-334(computes)-333(the)-333(1-norm)-334(of)-333(a)-333(v)28(ec)-1(tor)]TJ/F11 9.9626 Tf 207.168 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ -212.862 -11.955 Td [(If)]TJ/F11 9.9626 Tf 9.963 0 Td [(x)]TJ/F8 9.9626 Tf 9.014 0 Td [(is)-333(a)-334(real)-333(v)28(ector)-334(it)-333(computes)-333(1-norm)-334(as:)]TJ/F11 9.9626 Tf 123.012 -22.81 Td [(r)-28(es)]TJ/F8 9.9626 Tf 14.081 0 Td [(\050)]TJ/F11 9.9626 Tf 3.874 0 Td [(i)]TJ/F8 9.9626 Tf 3.432 0 Td [(\051)]TJ/F14 9.9626 Tf 6.642 0 Td [(\040)-278(k)]TJ/F11 9.9626 Tf 17.711 0 Td [(x)]TJ/F10 6.9738 Tf 5.694 -1.495 Td [(i)]TJ/F14 9.9626 Tf 3.317 1.495 Td [(k)]TJ/F8 9.9626 Tf -196.74 -22.81 Td [(else)-333(if)]TJ/F11 9.9626 Tf 28.006 0 Td [(x)]TJ/F8 9.9626 Tf 9.015 0 Td [(is)-333(a)-334(complex)-333(v)28(ector)-334(then)-333(it)-333(computes)-334(1-norm)-333(as:)]TJ/F11 9.9626 Tf 69.697 -22.81 Td [(r)-28(es)]TJ/F8 9.9626 Tf 14.081 0 Td [(\050)]TJ/F11 9.9626 Tf 3.874 0 Td [(i)]TJ/F8 9.9626 Tf 3.432 0 Td [(\051)]TJ/F14 9.9626 Tf 6.642 0 Td [(\040)-278(k)]TJ/F11 9.9626 Tf 17.711 0 Td [(r)-28(e)]TJ/F8 9.9626 Tf 9.411 0 Td [(\050)]TJ/F11 9.9626 Tf 3.874 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(\051)]TJ/F14 9.9626 Tf 3.874 0 Td [(k)]TJ/F7 6.9738 Tf 4.982 -1.494 Td [(1)]TJ/F8 9.9626 Tf 6.683 1.494 Td [(+)]TJ/F14 9.9626 Tf 9.962 0 Td [(k)]TJ/F11 9.9626 Tf 4.982 0 Td [(im)]TJ/F8 9.9626 Tf 12.179 0 Td [(\050)]TJ/F11 9.9626 Tf 3.875 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(\051)]TJ/F14 9.9626 Tf 3.874 0 Td [(k)]TJ/F7 6.9738 Tf 4.981 -1.494 Td [(1)]TJ 0 g 0 G 0 g 0 G -/F30 9.9626 Tf -207.017 -20.424 Td [(call)-525(psb_genrm2s\050res,)-525(x,)-525(desc_a,)-525(info\051)]TJ +/F30 9.9626 Tf -232.523 -21.762 Td [(call)-525(psb_geasums\050res,)-525(x,)-525(desc_a,)-525(info\051)]TJ 0 g 0 G 0 g 0 G 0 g 0 G ET q -1 0 0 1 127.261 617.58 cm +1 0 0 1 178.071 508.729 cm []0 d 0 J 0.398 w 0 0 m 288.979 0 l S Q BT -/F11 9.9626 Tf 133.239 609.013 Td [(r)-28(es)-8770(x)]TJ/F27 9.9626 Tf 221.863 0 Td [(Subroutine)]TJ +/F11 9.9626 Tf 184.049 500.161 Td [(r)-28(es)-8770(x)]TJ/F27 9.9626 Tf 221.862 0 Td [(Subroutine)]TJ ET q -1 0 0 1 127.261 605.227 cm +1 0 0 1 178.071 496.375 cm []0 d 0 J 0.398 w 0 0 m 288.979 0 l S Q BT -/F8 9.9626 Tf 133.239 596.659 Td [(Short)-333(Precision)-334(Real)-1200(Shor)1(t)-334(Precision)-333(Real)-3103(psb)]TJ +/F8 9.9626 Tf 184.049 487.807 Td [(Short)-333(Precision)-333(R)-1(eal)-1200(S)1(hort)-334(Precision)-333(Real)-3103(psb)]TJ ET q -1 0 0 1 370.699 596.858 cm +1 0 0 1 421.508 488.007 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 373.688 596.659 Td [(genrm2s)]TJ -240.449 -11.955 Td [(Long)-333(Precision)-334(Real)-1411(Long)-333(Precision)-333(Real)-3314(psb)]TJ +/F8 9.9626 Tf 424.497 487.807 Td [(geasums)]TJ -240.448 -11.955 Td [(Long)-333(Precision)-334(Real)-1411(Long)-333(Precision)-333(Real)-3314(psb)]TJ ET q -1 0 0 1 370.699 584.903 cm +1 0 0 1 421.508 476.051 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 373.688 584.704 Td [(genrm2s)]TJ -240.449 -11.955 Td [(Short)-333(Precision)-334(Real)-1200(Shor)1(t)-334(Precision)-333(Complex)-1200(psb)]TJ +/F8 9.9626 Tf 424.497 475.852 Td [(geasums)]TJ -240.448 -11.955 Td [(Short)-333(Precision)-333(R)-1(eal)-1200(S)1(hort)-334(Precision)-333(Complex)-1200(psb)]TJ ET q -1 0 0 1 370.699 572.948 cm +1 0 0 1 421.508 464.096 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 373.688 572.749 Td [(genrm2s)]TJ -240.449 -11.956 Td [(Long)-333(Precision)-334(Real)-1411(Long)-333(Precision)-333(Complex)-1412(psb)]TJ +/F8 9.9626 Tf 424.497 463.897 Td [(geasums)]TJ -240.448 -11.955 Td [(Long)-333(Precision)-334(Real)-1411(Long)-333(Precision)-333(Complex)-1412(p)1(s)-1(b)]TJ ET q -1 0 0 1 370.699 560.993 cm +1 0 0 1 421.508 452.141 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 373.688 560.793 Td [(genrm2s)]TJ +/F8 9.9626 Tf 424.497 451.942 Td [(geasums)]TJ ET q -1 0 0 1 127.261 557.008 cm +1 0 0 1 178.071 448.156 cm []0 d 0 J 0.398 w 0 0 m 288.979 0 l S Q 0 g 0 G BT -/F8 9.9626 Tf 228.067 528.968 Td [(T)83(able)-333(9:)-444(Data)-334(t)28(yp)-28(es)]TJ +/F8 9.9626 Tf 278.877 420.117 Td [(T)83(able)-333(7:)-444(Data)-334(t)28(yp)-28(es)]TJ 0 g 0 G 0 g 0 G 0 g 0 G -/F27 9.9626 Tf -128.172 -33.596 Td [(T)32(yp)-32(e:)]TJ +/F27 9.9626 Tf -128.172 -35.827 Td [(T)32(yp)-32(e:)]TJ 0 g 0 G /F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ 0 g 0 G -/F27 9.9626 Tf -33.797 -19.925 Td [(On)-383(En)32(try)]TJ +/F27 9.9626 Tf -33.797 -21.709 Td [(On)-383(En)32(try)]TJ 0 g 0 G 0 g 0 G - 0 -19.926 Td [(x)]TJ + 0 -21.71 Td [(x)]TJ 0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(the)-333(lo)-28(cal)-333(p)-28(ortion)-333(of)-334(global)-333(dense)-333(matrix)]TJ/F11 9.9626 Tf 176.118 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ -167.933 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-255(as:)-405(a)-255(rank)-254(one)-255(or)-255(t)28(w)27(o)-254(arra)27(y)-254(or)-255(an)-255(ob)-55(jec)-1(t)-254(of)-255(t)28(yp)-28(e)]TJ +/F8 9.9626 Tf 11.028 0 Td [(the)-333(lo)-28(cal)-333(p)-28(ortion)-333(of)-334(global)-333(dense)-333(matrix)]TJ/F11 9.9626 Tf 176.118 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ -167.933 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.378 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-255(as:)-405(a)-255(rank)-254(one)-255(or)-255(t)28(w)28(o)-255(arra)28(y)-255(or)-255(an)-255(ob)-55(ject)-255(of)-255(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 244.743 0 Td [(psb)]TJ +/F30 9.9626 Tf 244.742 0 Td [(psb)]TJ ET q -1 0 0 1 385.864 407.9 cm +1 0 0 1 436.673 293.25 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 389.002 407.701 Td [(T)]TJ +/F30 9.9626 Tf 439.811 293.051 Td [(T)]TJ ET q -1 0 0 1 394.86 407.9 cm +1 0 0 1 445.669 293.25 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 397.998 407.701 Td [(vect)]TJ +/F30 9.9626 Tf 448.807 293.051 Td [(vect)]TJ ET q -1 0 0 1 419.547 407.9 cm +1 0 0 1 470.356 293.25 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 422.685 407.701 Td [(type)]TJ +/F30 9.9626 Tf 473.495 293.051 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf -297.883 -11.955 Td [(con)28(taining)-333(n)27(um)28(b)-28(ers)-333(of)-333(t)28(yp)-28(e)-334(sp)-27(eci\014ed)-334(in)-333(T)83(able)]TJ +/F8 9.9626 Tf -297.884 -11.956 Td [(con)28(taining)-333(n)27(um)28(b)-28(ers)-333(of)-333(t)27(yp)-27(e)-334(sp)-27(ec)-1(i)1(\014ed)-334(in)-333(T)83(able)]TJ 0 0 1 rg 0 0 1 RG - [-333(9)]TJ + [-333(7)]TJ 0 g 0 G [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -24.907 -19.926 Td [(desc)]TJ +/F27 9.9626 Tf -24.906 -21.709 Td [(desc)]TJ ET q -1 0 0 1 121.81 376.02 cm +1 0 0 1 172.619 259.585 cm []0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F27 9.9626 Tf 125.247 375.82 Td [(a)]TJ +/F27 9.9626 Tf 176.057 259.386 Td [(a)]TJ 0 g 0 G -/F8 9.9626 Tf 10.551 0 Td [(con)28(tains)-334(d)1(ata)-334(structures)-333(for)-333(com)-1(m)28(unications.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(ob)-55(ject)-334(of)-333(t)28(yp)-28(e)]TJ +/F8 9.9626 Tf 10.55 0 Td [(con)28(tains)-334(data)-333(structures)-333(for)-333(c)-1(omm)28(unications.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(ob)-55(ject)-334(of)-333(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 135.658 0 Td [(psb)]TJ +/F30 9.9626 Tf 135.659 0 Td [(psb)]TJ ET q -1 0 0 1 276.779 328.199 cm +1 0 0 1 327.588 211.765 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 279.917 328 Td [(desc)]TJ +/F30 9.9626 Tf 330.727 211.565 Td [(desc)]TJ ET q -1 0 0 1 301.466 328.199 cm +1 0 0 1 352.275 211.765 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 304.604 328 Td [(type)]TJ +/F30 9.9626 Tf 355.414 211.565 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.922 0 Td [(.)]TJ +/F8 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -225.631 -19.926 Td [(On)-383(Return)]TJ +/F27 9.9626 Tf -225.63 -21.709 Td [(On)-383(Return)]TJ 0 g 0 G 0 g 0 G - 0 -19.925 Td [(res)]TJ + 0 -21.71 Td [(res)]TJ 0 g 0 G -/F8 9.9626 Tf 19.47 0 Td [(con)28(tains)-334(the)-333(1-norm)-333(of)-334(\050th)1(e)-334(columns)-333(of)-78(\051)]TJ/F11 9.9626 Tf 177.751 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ -178.008 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(long)-333(precision)-333(real)-334(n)28(um)28(b)-28(er.)]TJ +/F8 9.9626 Tf 19.47 0 Td [(con)28(tains)-334(th)1(e)-334(1-norm)-333(of)-333(\050the)-334(columns)-333(of)-78(\051)]TJ/F11 9.9626 Tf 177.75 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ -178.008 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(Short)-324(as:)-440(a)-324(long)-324(precision)-325(r)1(e)-1(al)-324(n)28(um)28(b)-28(er.)-441(Sp)-28(eci\014ed)-324(as:)-440(a)-324(long)-324(precision)-325(real)]TJ 0 -11.955 Td [(n)28(um)28(b)-28(er.)]TJ 0 g 0 G -/F27 9.9626 Tf -24.907 -19.926 Td [(info)]TJ + 141.968 -29.888 Td [(40)]TJ 0 g 0 G -/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.149 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detecte)-1(d)1(.)]TJ +ET + +endstream +endobj +1082 0 obj +<< +/Length 624 +>> +stream +0 g 0 G +0 g 0 G +0 g 0 G +BT +/F27 9.9626 Tf 99.895 706.129 Td [(info)]TJ 0 g 0 G - 141.968 -94.1 Td [(41)]TJ +/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.149 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detecte)-1(d)1(.)]TJ +0 g 0 G + 141.968 -567.87 Td [(41)]TJ 0 g 0 G ET endstream endobj -1073 0 obj +1089 0 obj << -/Length 5509 +/Length 6462 >> stream 0 g 0 G @@ -10060,735 +9932,629 @@ q []0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q BT -/F16 11.9552 Tf 175.796 706.129 Td [(norm1)-375(|)-375(1-Norm)-375(of)-375(Sparse)-375(Matrix)]TJ/F8 9.9626 Tf -25.091 -18.389 Td [(This)-333(function)-334(computes)-333(the)-333(1-norm)-334(of)-333(a)-333(matrix)]TJ/F11 9.9626 Tf 209.658 0 Td [(A)]TJ/F8 9.9626 Tf 7.472 0 Td [(:)]TJ/F11 9.9626 Tf -76.215 -33.873 Td [(nr)-28(m)]TJ/F8 9.9626 Tf 19.498 0 Td [(1)]TJ/F14 9.9626 Tf 7.749 0 Td [(\040)-278(k)]TJ/F11 9.9626 Tf 17.711 0 Td [(A)]TJ/F14 9.9626 Tf 7.472 0 Td [(k)]TJ/F7 6.9738 Tf 4.982 -1.495 Td [(1)]TJ/F8 9.9626 Tf -198.327 -20.423 Td [(where:)]TJ -0 g 0 G -/F11 9.9626 Tf 0 -19.926 Td [(A)]TJ -0 g 0 G -/F8 9.9626 Tf 12.453 0 Td [(represen)28(ts)-334(the)-333(global)-333(matrix)]TJ/F11 9.9626 Tf 125.834 0 Td [(A)]TJ +/F16 11.9552 Tf 175.796 706.129 Td [(norm2)-375(|)-375(2-Norm)-375(of)-375(V)94(ector)]TJ/F8 9.9626 Tf -25.091 -19.67 Td [(This)-333(function)-334(computes)-333(the)-333(2-norm)-334(of)-333(a)-333(v)28(ec)-1(tor)]TJ/F11 9.9626 Tf 207.168 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ -212.862 -11.955 Td [(If)]TJ/F11 9.9626 Tf 9.963 0 Td [(x)]TJ/F8 9.9626 Tf 9.014 0 Td [(is)-333(a)-334(real)-333(v)28(ector)-334(it)-333(computes)-333(2-norm)-334(as:)]TJ/F11 9.9626 Tf 119.907 -24.408 Td [(nr)-28(m)]TJ/F8 9.9626 Tf 19.498 0 Td [(2)]TJ/F14 9.9626 Tf 7.749 0 Td [(\040)]TJ 12.73 9.339 Td [(p)]TJ +ET +q +1 0 0 1 337.868 659.634 cm +[]0 d 0 J 0.398 w 0 0 m 17.664 0 l S +Q +BT +/F11 9.9626 Tf 337.868 650.096 Td [(x)]TJ/F10 6.9738 Tf 5.694 2.878 Td [(T)]TJ/F11 9.9626 Tf 6.276 -2.878 Td [(x)]TJ/F8 9.9626 Tf -199.133 -23.294 Td [(else)-333(if)]TJ/F11 9.9626 Tf 28.006 0 Td [(x)]TJ/F8 9.9626 Tf 9.015 0 Td [(is)-333(a)-334(complex)-333(v)28(ector)-334(then)-333(it)-333(computes)-334(2-norm)-333(as:)]TJ/F11 9.9626 Tf 101.222 -24.408 Td [(nr)-28(m)]TJ/F8 9.9626 Tf 19.499 0 Td [(2)]TJ/F14 9.9626 Tf 7.749 0 Td [(\040)]TJ 12.73 9.339 Td [(p)]TJ +ET +q +1 0 0 1 337.228 611.932 cm +[]0 d 0 J 0.398 w 0 0 m 18.944 0 l S +Q +BT +/F11 9.9626 Tf 337.228 602.394 Td [(x)]TJ/F10 6.9738 Tf 5.694 2.878 Td [(H)]TJ/F11 9.9626 Tf 7.556 -2.878 Td [(x)]TJ 0 g 0 G 0 g 0 G 0 g 0 G ET q -1 0 0 1 230.992 589.962 cm -[]0 d 0 J 0.398 w 0 0 m 183.136 0 l S +1 0 0 1 180.294 577.3 cm +[]0 d 0 J 0.398 w 0 0 m 284.534 0 l S Q BT -/F11 9.9626 Tf 236.97 581.394 Td [(A)]TJ/F27 9.9626 Tf 120.41 0 Td [(F)96(unction)]TJ +/F11 9.9626 Tf 186.271 568.732 Td [(nr)-28(m)]TJ/F8 9.9626 Tf 19.499 0 Td [(2)]TJ/F11 9.9626 Tf 81.954 0 Td [(x)]TJ/F27 9.9626 Tf 120.41 0 Td [(F)96(unction)]TJ ET q -1 0 0 1 230.992 577.608 cm -[]0 d 0 J 0.398 w 0 0 m 183.136 0 l S +1 0 0 1 180.294 564.947 cm +[]0 d 0 J 0.398 w 0 0 m 284.534 0 l S Q BT -/F8 9.9626 Tf 236.97 569.04 Td [(Short)-333(Precision)-334(Real)-3102(psb)]TJ +/F8 9.9626 Tf 186.271 556.379 Td [(Short)-333(Precision)-334(Real)-1200(Shor)1(t)-334(Precision)-333(Real)-3103(psb)]TJ ET q -1 0 0 1 372.977 569.24 cm +1 0 0 1 423.731 556.578 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 375.966 569.04 Td [(spnrm1)]TJ -138.996 -11.955 Td [(Long)-333(Precision)-334(Real)-3314(psb)]TJ +/F8 9.9626 Tf 426.72 556.379 Td [(genrm2)]TJ -240.449 -11.955 Td [(Long)-333(Precision)-334(Real)-1411(Long)-333(Precision)-333(Real)-3314(psb)]TJ ET q -1 0 0 1 372.977 557.284 cm +1 0 0 1 423.731 544.623 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 375.966 557.085 Td [(spnrm1)]TJ -138.996 -11.955 Td [(Short)-333(Precision)-334(Complex)-1200(psb)]TJ +/F8 9.9626 Tf 426.72 544.424 Td [(genrm2)]TJ -240.449 -11.956 Td [(Short)-333(Precision)-334(Real)-1200(Short)-333(Precision)-333(Complex)-1200(psb)]TJ ET q -1 0 0 1 372.977 545.329 cm +1 0 0 1 423.731 532.668 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 375.966 545.13 Td [(spnrm1)]TJ -138.996 -11.955 Td [(Long)-333(Precision)-334(Complex)-1411(psb)]TJ +/F8 9.9626 Tf 426.72 532.468 Td [(genrm2)]TJ -240.449 -11.955 Td [(Long)-333(Precision)-334(Real)-1411(Long)-333(Precision)-333(Complex)-1412(psb)]TJ ET q -1 0 0 1 372.977 533.374 cm +1 0 0 1 423.731 520.713 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 375.966 533.175 Td [(spnrm1)]TJ +/F8 9.9626 Tf 426.72 520.513 Td [(genrm2)]TJ ET q -1 0 0 1 230.992 529.389 cm -[]0 d 0 J 0.398 w 0 0 m 183.136 0 l S +1 0 0 1 180.294 516.727 cm +[]0 d 0 J 0.398 w 0 0 m 284.534 0 l S Q 0 g 0 G BT -/F8 9.9626 Tf 276.386 501.35 Td [(T)83(able)-333(10:)-444(Data)-334(t)28(yp)-28(es)]TJ +/F8 9.9626 Tf 278.877 488.688 Td [(T)83(able)-333(8:)-444(Data)-334(t)28(yp)-28(es)]TJ 0 g 0 G 0 g 0 G 0 g 0 G 0 g 0 G -/F30 9.9626 Tf -125.681 -33.873 Td [(psb_spnrm1\050A,)-525(desc_a,)-525(info\051)]TJ 0 -11.956 Td [(psb_norm1\050A,)-525(desc_a,)-525(info\051)]TJ +/F30 9.9626 Tf -128.172 -39.713 Td [(psb_genrm2\050x,)-525(desc_a,)-525(info)-525([,global]\051)]TJ 0 -11.955 Td [(psb_norm2\050x,)-525(desc_a,)-525(info)-525([,global]\051)]TJ 0 g 0 G -/F27 9.9626 Tf 0 -21.917 Td [(T)32(yp)-32(e:)]TJ +/F27 9.9626 Tf 0 -23.982 Td [(T)32(yp)-32(e:)]TJ 0 g 0 G /F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ 0 g 0 G -/F27 9.9626 Tf -33.797 -19.926 Td [(On)-383(En)32(try)]TJ +/F27 9.9626 Tf -33.797 -22.677 Td [(On)-383(En)32(try)]TJ 0 g 0 G 0 g 0 G - 0 -19.925 Td [(a)]TJ + 0 -22.677 Td [(x)]TJ 0 g 0 G -/F8 9.9626 Tf 10.551 0 Td [(the)-333(lo)-28(cal)-333(p)-28(ortion)-333(of)-334(the)-333(global)-333(sparse)-334(matrix)]TJ/F11 9.9626 Tf 196.126 0 Td [(A)]TJ/F8 9.9626 Tf 7.472 0 Td [(.)]TJ -189.242 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.378 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-444(an)-334(ob)-55(ject)-334(of)-333(t)28(yp)-28(e)]TJ +/F8 9.9626 Tf 11.028 0 Td [(the)-333(lo)-28(cal)-333(p)-28(ortion)-333(of)-334(global)-333(dense)-333(matrix)]TJ/F11 9.9626 Tf 176.118 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ -167.933 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.378 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-255(as:)-405(a)-255(rank)-254(one)-255(or)-255(t)28(w)28(o)-255(arra)28(y)-255(or)-255(an)-255(ob)-55(ject)-255(of)-255(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 135.658 0 Td [(psb)]TJ +/F30 9.9626 Tf 244.742 0 Td [(psb)]TJ ET q -1 0 0 1 327.588 346.132 cm +1 0 0 1 436.673 320.063 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 330.727 345.932 Td [(Tspmat)]TJ +/F30 9.9626 Tf 439.811 319.864 Td [(T)]TJ ET q -1 0 0 1 362.736 346.132 cm +1 0 0 1 445.669 320.063 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 365.874 345.932 Td [(type)]TJ +/F30 9.9626 Tf 448.807 319.864 Td [(vect)]TJ +ET +q +1 0 0 1 470.356 320.063 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 473.495 319.864 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.922 0 Td [(.)]TJ +/F8 9.9626 Tf -297.884 -11.956 Td [(con)28(taining)-333(n)27(um)28(b)-28(ers)-333(of)-333(t)27(yp)-27(e)-334(sp)-27(ec)-1(i)1(\014ed)-334(in)-333(T)83(able)]TJ +0 0 1 rg 0 0 1 RG + [-333(8)]TJ 0 g 0 G -/F27 9.9626 Tf -236.091 -19.925 Td [(desc)]TJ + [(.)]TJ +0 g 0 G +/F27 9.9626 Tf -24.906 -22.677 Td [(desc)]TJ ET q -1 0 0 1 172.619 326.206 cm +1 0 0 1 172.619 285.431 cm []0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F27 9.9626 Tf 176.057 326.007 Td [(a)]TJ +/F27 9.9626 Tf 176.057 285.231 Td [(a)]TJ 0 g 0 G -/F8 9.9626 Tf 10.55 0 Td [(con)28(tains)-334(data)-333(structures)-333(for)-333(c)-1(omm)28(unications.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(ob)-55(ject)-334(of)-333(t)28(yp)-28(e)]TJ +/F8 9.9626 Tf 10.55 0 Td [(con)28(tains)-334(data)-333(structures)-333(for)-333(c)-1(omm)28(unications.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(ob)-55(ject)-334(of)-333(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG /F30 9.9626 Tf 135.659 0 Td [(psb)]TJ ET q -1 0 0 1 327.588 278.386 cm +1 0 0 1 327.588 237.61 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 330.727 278.186 Td [(desc)]TJ +/F30 9.9626 Tf 330.727 237.411 Td [(desc)]TJ ET q -1 0 0 1 352.275 278.386 cm +1 0 0 1 352.275 237.61 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 355.414 278.186 Td [(type)]TJ +/F30 9.9626 Tf 355.414 237.411 Td [(type)]TJ 0 g 0 G /F8 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -225.63 -19.925 Td [(On)-383(Return)]TJ -0 g 0 G -0 g 0 G - 0 -19.925 Td [(F)96(unction)-384(v)64(alue)]TJ +/F27 9.9626 Tf -225.63 -22.677 Td [(global)]TJ 0 g 0 G -/F8 9.9626 Tf 78.386 0 Td [(is)-333(the)-334(1-norm)-333(of)-333(sparse)-334(submatrix)]TJ/F11 9.9626 Tf 150.298 0 Td [(A)]TJ/F8 9.9626 Tf 7.472 0 Td [(.)]TJ -211.25 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(long)-333(precision)-334(r)1(e)-1(al)-333(n)28(um)28(b)-28(er.)]TJ +/F8 9.9626 Tf 34.737 0 Td [(Sp)-28(eci\014es)-357(whether)-357(the)-357(co)-1(mpu)1(tation)-358(should)-357(include)-357(the)-357(global)-357(reduction)]TJ -9.831 -11.955 Td [(across)-333(all)-334(pro)-27(c)-1(esses.)]TJ 0 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(optional)]TJ/F8 9.9626 Tf 40.576 0 Td [(.)]TJ -70.188 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(logical)-333(scalar.)-445(Default:)]TJ/F30 9.9626 Tf 168.812 0 Td [(global=.true.)]TJ 0 g 0 G -/F27 9.9626 Tf -24.906 -19.926 Td [(info)]TJ +/F27 9.9626 Tf -193.718 -34.632 Td [(On)-383(Return)]TJ 0 g 0 G -/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.148 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)27(t)1(e)-1(ger)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detec)-1(ted.)]TJ 0 g 0 G - 141.968 -56.242 Td [(42)]TJ +/F8 9.9626 Tf 166.874 -29.888 Td [(42)]TJ 0 g 0 G ET endstream endobj -1080 0 obj +1094 0 obj << -/Length 5546 +/Length 4631 >> stream 0 g 0 G 0 g 0 G +0 g 0 G BT -/F16 11.9552 Tf 99.895 706.129 Td [(psb)]TJ -ET -q -1 0 0 1 120.951 706.328 cm -[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S -Q -BT -/F16 11.9552 Tf 124.986 706.129 Td [(normi)-375(|)-375(In\014nit)31(y)-375(Norm)-375(of)-375(Sparse)-375(Matrix)]TJ/F8 9.9626 Tf -25.091 -18.389 Td [(This)-333(function)-334(computes)-333(the)-333(in\014nit)28(y-norm)-334(of)-333(a)-333(matrix)]TJ/F11 9.9626 Tf 235.673 0 Td [(A)]TJ/F8 9.9626 Tf 7.472 0 Td [(:)]TJ/F11 9.9626 Tf -103.441 -33.873 Td [(nr)-28(mi)]TJ/F14 9.9626 Tf 25.698 0 Td [(\040)-278(k)]TJ/F11 9.9626 Tf 17.712 0 Td [(A)]TJ/F14 9.9626 Tf 7.472 0 Td [(k)]TJ/F13 6.9738 Tf 4.981 -1.495 Td [(1)]TJ/F8 9.9626 Tf -195.567 -20.423 Td [(where:)]TJ +/F27 9.9626 Tf 99.895 706.129 Td [(F)96(unction)-384(V)96(alue)]TJ 0 g 0 G -/F11 9.9626 Tf 0 -19.926 Td [(A)]TJ +/F8 9.9626 Tf 80.684 0 Td [(is)-333(the)-334(2-norm)-333(of)-333(sub)28(v)27(ector)]TJ/F11 9.9626 Tf 117.503 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ -178.974 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.167 0 Td [(global)]TJ/F8 9.9626 Tf 32.653 0 Td [(unless)-291(the)-291(opti)1(onal)-291(v)55(ariable)]TJ/F30 9.9626 Tf 121.038 0 Td [(global=.false.)]TJ/F8 9.9626 Tf 76.122 0 Td [(as)-291(b)-28(een)-290(sp)-28(ec-)]TJ -261.98 -11.955 Td [(i\014ed)]TJ 0 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(long)-333(precision)-333(real)-334(n)28(um)28(b)-28(er.)]TJ 0 g 0 G -/F8 9.9626 Tf 12.454 0 Td [(represen)28(ts)-334(the)-333(global)-333(matrix)]TJ/F11 9.9626 Tf 125.834 0 Td [(A)]TJ +/F27 9.9626 Tf -24.907 -19.925 Td [(info)]TJ 0 g 0 G +/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.149 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detecte)-1(d)1(.)]TJ/F16 11.9552 Tf -24.907 -21.918 Td [(Notes)]TJ 0 g 0 G +/F8 9.9626 Tf 12.177 -19.925 Td [(1.)]TJ 0 g 0 G + [-500(The)-241(computation)-240(of)-241(a)-240(global)-241(result)-241(requires)-240(a)-241(global)-241(comm)28(unication,)-259(whic)28(h)]TJ 12.73 -11.955 Td [(en)28(tails)-421(a)-420(signi\014can)27(t)-420(o)28(v)27(erhead.)-706(It)-420(ma)27(y)-420(b)-28(e)-421(necessary)-420(and/or)-421(advisable)-420(to)]TJ 0 -11.955 Td [(compute)-395(m)28(ultiple)-395(norms)-395(at)-395(the)-395(same)-395(time;)-426(in)-395(this)-395(case,)-410(it)-395(is)-395(p)-28(ossible)-395(to)]TJ 0 -11.955 Td [(impro)28(v)28(e)-334(the)-333(run)28(time)-334(e\016ciency)-333(b)28(y)-334(using)-333(the)-333(follo)28(wing)-334(sc)28(heme:)]TJ 25.189 -17.933 Td [(v)-128(r)-129(e)-128(s)-259(\050)-131(1)-130(\051)-642(=)-594(p)-82(s)-83(b)]TJ ET q -1 0 0 1 181.29 589.962 cm -[]0 d 0 J 0.398 w 0 0 m 180.922 0 l S +1 0 0 1 227.381 495.12 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F11 9.9626 Tf 187.268 581.394 Td [(A)]TJ/F27 9.9626 Tf 120.409 0 Td [(F)96(unction)]TJ +/F8 9.9626 Tf 231.194 494.921 Td [(g)-83(e)-82(n)-83(r)-83(m)-82(2)-189(\050)-148(x)-43(1)-248(,)-273(d)-113(e)-113(s)-112(c)]TJ ET q -1 0 0 1 181.29 577.608 cm -[]0 d 0 J 0.398 w 0 0 m 180.922 0 l S +1 0 0 1 316.705 495.12 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 187.268 569.04 Td [(Short)-333(Precision)-333(R)-1(eal)-3102(psb)]TJ +/F8 9.9626 Tf 320.816 494.921 Td [(a)-386(,)-288(i)-127(n)-127(f)-127(o)-415(,)-302(g)-141(l)-142(o)-141(b)-141(a)-141(l)-190(=)-48(.)]TJ/F27 9.9626 Tf 92.224 0 Td [(f)-132(a)-131(l)-132(s)-131(e)]TJ/F8 9.9626 Tf 30.348 0 Td [(.)-178(\051)]TJ -293.397 -11.955 Td [(v)-128(r)-129(e)-128(s)-259(\050)-131(2)-130(\051)-642(=)-594(p)-82(s)-83(b)]TJ ET q -1 0 0 1 323.274 569.24 cm +1 0 0 1 227.381 483.165 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 326.263 569.04 Td [(spnrmi)]TJ -138.995 -11.955 Td [(Long)-333(Precision)-334(Real)-3314(p)1(s)-1(b)]TJ +/F8 9.9626 Tf 231.194 482.966 Td [(g)-83(e)-82(n)-83(r)-83(m)-82(2)-189(\050)-148(x)-43(2)-248(,)-273(d)-113(e)-113(s)-112(c)]TJ ET q -1 0 0 1 323.274 557.284 cm +1 0 0 1 316.705 483.165 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 326.263 557.085 Td [(spnrmi)]TJ -138.995 -11.955 Td [(Short)-333(Precision)-333(C)-1(omplex)-1200(p)1(s)-1(b)]TJ +/F8 9.9626 Tf 320.816 482.966 Td [(a)-386(,)-288(i)-127(n)-127(f)-127(o)-415(,)-302(g)-141(l)-142(o)-141(b)-141(a)-141(l)-190(=)-48(.)]TJ/F27 9.9626 Tf 92.224 0 Td [(f)-132(a)-131(l)-132(s)-131(e)]TJ/F8 9.9626 Tf 30.348 0 Td [(.)-178(\051)]TJ -293.397 -11.955 Td [(v)-128(r)-129(e)-128(s)-259(\050)-131(3)-130(\051)-642(=)-594(p)-82(s)-83(b)]TJ ET q -1 0 0 1 323.274 545.329 cm +1 0 0 1 227.381 471.21 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 326.263 545.13 Td [(spnrmi)]TJ -138.995 -11.955 Td [(Long)-333(Precision)-334(Complex)-1411(psb)]TJ +/F8 9.9626 Tf 231.194 471.011 Td [(g)-83(e)-82(n)-83(r)-83(m)-82(2)-189(\050)-148(x)-43(3)-248(,)-273(d)-113(e)-113(s)-112(c)]TJ ET q -1 0 0 1 323.274 533.374 cm +1 0 0 1 316.705 471.21 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 326.263 533.175 Td [(spnrmi)]TJ +/F8 9.9626 Tf 320.816 471.011 Td [(a)-386(,)-288(i)-127(n)-127(f)-127(o)-415(,)-302(g)-141(l)-142(o)-141(b)-141(a)-141(l)-190(=)-48(.)]TJ/F27 9.9626 Tf 92.224 0 Td [(f)-132(a)-131(l)-132(s)-131(e)]TJ/F8 9.9626 Tf 30.348 0 Td [(.)-178(\051)]TJ/F27 9.9626 Tf -293.299 -11.956 Td [(c)-138(a)-138(l)-139(l)]TJ/F8 9.9626 Tf 29.236 0 Td [(p)-73(s)-72(b)]TJ ET q -1 0 0 1 181.29 529.389 cm -[]0 d 0 J 0.398 w 0 0 m 180.922 0 l S +1 0 0 1 197.093 459.255 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q -0 g 0 G BT -/F8 9.9626 Tf 225.577 501.35 Td [(T)83(able)-333(11:)-444(Data)-334(t)28(yp)-28(es)]TJ +/F8 9.9626 Tf 200.806 459.055 Td [(n)-73(r)-72(m)-73(2)-178(\050)-245(i)-138(c)-139(t)-139(x)-139(t)-439(,)-290(v)-128(r)-128(e)-129(s)-293(\050)-165(1)-165(:)-165(3)-165(\051)-165(\051)]TJ 0 g 0 G 0 g 0 G + -76.004 -21.917 Td [(In)-353(this)-354(w)28(a)28(y)-354(the)-353(global)-354(comm)28(unication,)-359(whic)28(h)-353(for)-354(small)-353(sizes)-354(is)-354(a)-353(latency-)]TJ 0 -11.956 Td [(b)-28(ound)-333(op)-28(eration,)-333(is)-333(in)28(v)27(ok)28(ed)-333(only)-333(onc)-1(e.)]TJ 0 g 0 G + 141.968 -334.744 Td [(43)]TJ 0 g 0 G -/F30 9.9626 Tf -125.682 -33.873 Td [(psb_spnrmi\050A,)-525(desc_a,)-525(info\051)]TJ 0 -11.956 Td [(psb_normi\050A,)-525(desc_a,)-525(info\051)]TJ +ET + +endstream +endobj +1108 0 obj +<< +/Length 6162 +>> +stream 0 g 0 G -/F27 9.9626 Tf 0 -21.917 Td [(T)32(yp)-32(e:)]TJ 0 g 0 G -/F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ +BT +/F16 11.9552 Tf 150.705 706.129 Td [(psb)]TJ +ET +q +1 0 0 1 171.761 706.328 cm +[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S +Q +BT +/F16 11.9552 Tf 175.796 706.129 Td [(genrm2s)-375(|)-375(Generalized)-375(2-Norm)-375(of)-375(V)94(ector)]TJ/F8 9.9626 Tf -25.091 -18.389 Td [(This)-310(subroutine)-310(computes)-309(a)-310(series)-310(of)-310(2-norms)-310(on)-310(the)-309(c)-1(olu)1(m)-1(n)1(s)-310(of)-310(a)-310(dense)-310(matrix)]TJ/F11 9.9626 Tf 0 -11.956 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(:)]TJ/F11 9.9626 Tf 126.531 -11.955 Td [(r)-28(es)]TJ/F8 9.9626 Tf 14.08 0 Td [(\050)]TJ/F11 9.9626 Tf 3.875 0 Td [(i)]TJ/F8 9.9626 Tf 3.432 0 Td [(\051)]TJ/F14 9.9626 Tf 6.642 0 Td [(\040)-278(k)]TJ/F11 9.9626 Tf 17.711 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(\050:)]TJ/F11 9.9626 Tf 6.642 0 Td [(;)-167(i)]TJ/F8 9.9626 Tf 7.86 0 Td [(\051)]TJ/F14 9.9626 Tf 3.874 0 Td [(k)]TJ/F7 6.9738 Tf 4.981 -1.494 Td [(2)]TJ 0 g 0 G -/F27 9.9626 Tf -33.797 -19.926 Td [(On)-383(En)32(try)]TJ 0 g 0 G -0 g 0 G - 0 -19.925 Td [(a)]TJ -0 g 0 G -/F8 9.9626 Tf 10.551 0 Td [(the)-333(lo)-28(cal)-333(p)-28(ortion)-333(of)-334(the)-333(global)-333(sparse)-334(matrix)]TJ/F11 9.9626 Tf 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3.138 0 l S -Q -BT -/F30 9.9626 Tf 422.685 592.034 Td [(type)]TJ -0 g 0 G -/F8 9.9626 Tf -297.883 -11.955 Td [(con)28(taining)-345(n)28(um)28(b)-28(ers)-345(of)-345(t)28(yp)-28(e)-345(sp)-28(eci\014ed)-345(in)-345(T)84(able)]TJ -0 0 1 rg 0 0 1 RG - [-345(12)]TJ -0 g 0 G - [(.)-479(The)-345(rank)-345(of)]TJ/F11 9.9626 Tf 275.086 0 Td [(y)]TJ/F8 9.9626 Tf 8.678 0 Td [(m)28(ust)-345(b)-28(e)]TJ -283.764 -11.955 Td [(the)-333(same)-334(of)]TJ/F11 9.9626 Tf 53.466 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ -0 g 0 G -/F27 9.9626 Tf -84.067 -18.454 Td [(desc)]TJ +/F27 9.9626 Tf -24.906 -19.926 Td [(desc)]TJ ET q -1 0 0 1 121.81 549.87 cm +1 0 0 1 172.619 376.02 cm []0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F27 9.9626 Tf 125.247 549.67 Td [(a)]TJ +/F27 9.9626 Tf 176.057 375.82 Td [(a)]TJ 0 g 0 G -/F8 9.9626 Tf 10.551 0 Td [(con)28(tains)-334(d)1(ata)-334(structures)-333(for)-333(com)-1(m)28(unications.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(ob)-55(ject)-334(of)-333(t)28(yp)-28(e)]TJ +/F8 9.9626 Tf 10.55 0 Td [(con)28(tains)-334(data)-333(structures)-333(for)-333(c)-1(omm)28(unications.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(ob)-55(ject)-334(of)-333(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 135.658 0 Td [(psb)]TJ +/F30 9.9626 Tf 135.659 0 Td [(psb)]TJ ET q -1 0 0 1 276.779 502.049 cm +1 0 0 1 327.588 328.199 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 279.917 501.85 Td [(desc)]TJ +/F30 9.9626 Tf 330.727 328 Td [(desc)]TJ ET q -1 0 0 1 301.466 502.049 cm +1 0 0 1 352.275 328.199 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 304.604 501.85 Td [(type)]TJ -0 g 0 G -/F8 9.9626 Tf 20.922 0 Td [(.)]TJ -0 g 0 G -/F27 9.9626 Tf -225.631 -18.454 Td [(trans)]TJ -0 g 0 G -/F8 9.9626 Tf 30.609 0 Td [(indicates)-333(what)-334(kind)-333(of)-333(op)-28(eration)-333(to)-334(p)-27(erform.)]TJ -0 g 0 G -/F27 9.9626 Tf -5.702 -18.453 Td [(trans)-383(=)-384(N)]TJ -0 g 0 G -/F8 9.9626 Tf 56.124 0 Td [(the)-333(op)-28(eration)-333(is)-334(sp)-27(e)-1(ci\014ed)-333(b)28(y)-333(equation)]TJ -0 0 1 rg 0 0 1 RG - [-334(1)]TJ -0 g 0 G +/F30 9.9626 Tf 355.414 328 Td [(type)]TJ 0 g 0 G -/F27 9.9626 Tf -56.124 -14.469 Td [(trans)-383(=)-384(T)]TJ -0 g 0 G -/F8 9.9626 Tf 55.128 0 Td [(the)-333(op)-28(eration)-333(is)-334(sp)-27(e)-1(ci\014)1(e)-1(d)-333(b)28(y)-333(equation)]TJ -0 0 1 rg 0 0 1 RG - [-334(2)]TJ -0 g 0 G -0 g 0 G -/F27 9.9626 Tf -55.128 -14.468 Td [(trans)-383(=)-384(C)]TJ -0 g 0 G -/F8 9.9626 Tf 55.432 0 Td [(the)-333(op)-28(eration)-333(is)-334(sp)-28(eci\014ed)-333(b)28(y)-333(equation)]TJ -0 0 1 rg 0 0 1 RG - [-334(3)]TJ -0 g 0 G - -55.432 -18.453 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Default:)]TJ/F11 9.9626 Tf 39.436 0 Td [(tr)-28(ans)]TJ/F8 9.9626 Tf 27.052 0 Td [(=)]TJ/F11 9.9626 Tf 10.516 0 Td [(N)]TJ/F8 9.9626 Tf -77.004 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(c)28(haracter)-333(v)55(ariable.)]TJ -0 g 0 G -/F27 9.9626 Tf -24.907 -18.454 Td [(w)32(ork)]TJ -0 g 0 G -/F8 9.9626 Tf 29.432 0 Td [(w)28(ork)-333(arra)27(y)84(.)]TJ -4.525 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-487(as:)-753(a)-487(rank)-488(one)-487(arra)28(y)-488(of)-487(the)-488(same)-487(t)27(yp)-27(e)-488(of)]TJ/F11 9.9626 Tf 239.183 0 Td [(x)]TJ/F8 9.9626 Tf 10.55 0 Td [(and)]TJ/F11 9.9626 Tf 20.908 0 Td [(y)]TJ/F8 9.9626 Tf 10.098 0 Td [(with)-487(the)]TJ -280.739 -11.955 Td [(T)83(AR)28(GET)-333(attribute.)]TJ -0 g 0 G -/F27 9.9626 Tf -24.907 -18.454 Td [(On)-383(Return)]TJ +/F8 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G +/F27 9.9626 Tf -225.63 -19.926 Td [(On)-383(Return)]TJ 0 g 0 G - 0 -18.453 Td [(y)]TJ 0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(the)-333(lo)-28(cal)-333(p)-28(ortion)-333(of)-334(result)-333(matrix)]TJ/F11 9.9626 Tf 147.365 0 Td [(y)]TJ/F8 9.9626 Tf 5.242 0 Td [(.)]TJ -138.728 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-474(as:)-727(an)-475(arra)28(y)-474(of)-475(rank)-475(on)1(e)-475(or)-475(t)28(w)28(o)-475(con)28(taining)-474(n)27(u)1(m)27(b)-27(e)-1(r)1(s)-475(of)-475(t)28(yp)-28(e)]TJ 0 -11.955 Td [(sp)-28(eci\014ed)-333(in)-333(T)83(able)]TJ -0 0 1 rg 0 0 1 RG - [-333(12)]TJ + 0 -19.925 Td [(res)]TJ 0 g 0 G - [(.)]TJ +/F8 9.9626 Tf 19.47 0 Td [(con)28(tains)-334(th)1(e)-334(1-norm)-333(of)-333(\050the)-334(columns)-333(of)-78(\051)]TJ/F11 9.9626 Tf 177.75 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ -178.008 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(long)-333(precision)-334(r)1(e)-1(al)-333(n)28(um)28(b)-28(er.)]TJ 0 g 0 G -/F27 9.9626 Tf -24.907 -18.454 Td [(info)]TJ +/F27 9.9626 Tf -24.906 -19.926 Td [(info)]TJ 0 g 0 G -/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.149 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detecte)-1(d)1(.)]TJ +/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.148 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)28(te)-1(ger)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detec)-1(ted.)]TJ 0 g 0 G - 141.968 -38.108 Td [(45)]TJ + 141.968 -94.1 Td [(44)]TJ 0 g 0 G ET endstream endobj -1113 0 obj +1115 0 obj << -/Length 6772 +/Length 5516 >> stream 0 g 0 G 0 g 0 G BT -/F16 11.9552 Tf 150.705 706.129 Td [(psb)]TJ +/F16 11.9552 Tf 99.895 706.129 Td [(psb)]TJ ET q -1 0 0 1 171.761 706.328 cm +1 0 0 1 120.951 706.328 cm []0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q BT -/F16 11.9552 Tf 175.796 706.129 Td [(spsm)-375(|)-375(T)94(riangular)-375(System)-375(Solv)31(e)]TJ/F8 9.9626 Tf -25.091 -19.095 Td [(This)-333(subroutine)-334(computes)-333(the)-333(T)83(riangular)-333(System)-334(S)1(o)-1(l)1(v)27(e:)]TJ/F11 9.9626 Tf 121.692 -35.01 Td [(y)]TJ/F14 9.9626 Tf 15.205 0 Td [(\040)]TJ/F11 9.9626 Tf 19.925 0 Td [(\013)-4(T)]TJ/F13 6.9738 Tf 13.616 4.113 Td [(\000)]TJ/F7 6.9738 Tf 6.226 0 Td [(1)]TJ/F11 9.9626 Tf 4.47 -4.113 Td [(x)]TJ/F8 9.9626 Tf 7.907 0 Td [(+)]TJ/F11 9.9626 Tf 9.963 0 Td [(\014)-53(y)]TJ -77.312 -14.944 Td [(y)]TJ/F14 9.9626 Tf 15.205 0 Td [(\040)]TJ/F11 9.9626 Tf 19.925 0 Td [(\013)-4(D)-27(T)]TJ/F13 6.9738 Tf 22.141 4.113 Td [(\000)]TJ/F7 6.9738 Tf 6.226 0 Td [(1)]TJ/F11 9.9626 Tf 4.47 -4.113 Td [(x)]TJ/F8 9.9626 Tf 7.907 0 Td [(+)]TJ/F11 9.9626 Tf 9.963 0 Td [(\014)-53(y)]TJ -85.837 -14.944 Td [(y)]TJ/F14 9.9626 Tf 15.205 0 Td [(\040)]TJ/F11 9.9626 Tf 19.925 0 Td [(\013)-4(T)]TJ/F13 6.9738 Tf 13.616 4.113 Td [(\000)]TJ/F7 6.9738 Tf 6.226 0 Td [(1)]TJ/F11 9.9626 Tf 4.47 -4.113 Td [(D)-28(x)]TJ/F8 9.9626 Tf 16.432 0 Td [(+)]TJ/F11 9.9626 Tf 9.963 0 Td [(\014)-53(y)]TJ -85.837 -14.944 Td [(y)]TJ/F14 9.9626 Tf 15.205 0 Td [(\040)]TJ/F11 9.9626 Tf 19.925 0 Td [(\013)-4(T)]TJ/F13 6.9738 Tf 13.616 4.113 Td [(\000)]TJ/F10 6.9738 Tf 6.226 0 Td [(T)]TJ/F11 9.9626 Tf 6.276 -4.113 Td [(x)]TJ/F8 9.9626 Tf 7.908 0 Td [(+)]TJ/F11 9.9626 Tf 9.963 0 Td [(\014)-53(y)]TJ -79.119 -14.944 Td [(y)]TJ/F14 9.9626 Tf 15.205 0 Td [(\040)]TJ/F11 9.9626 Tf 19.925 0 Td [(\013)-4(D)-27(T)]TJ/F13 6.9738 Tf 22.141 4.113 Td [(\000)]TJ/F10 6.9738 Tf 6.226 0 Td [(T)]TJ/F11 9.9626 Tf 6.276 -4.113 Td [(x)]TJ/F8 9.9626 Tf 7.908 0 Td [(+)]TJ/F11 9.9626 Tf 9.963 0 Td [(\014)-53(y)]TJ -87.644 -14.944 Td [(y)]TJ/F14 9.9626 Tf 15.205 0 Td [(\040)]TJ/F11 9.9626 Tf 19.925 0 Td [(\013)-4(T)]TJ/F13 6.9738 Tf 13.616 4.113 Td [(\000)]TJ/F10 6.9738 Tf 6.226 0 Td [(T)]TJ/F11 9.9626 Tf 6.276 -4.113 Td [(D)-28(x)]TJ/F8 9.9626 Tf 16.433 0 Td [(+)]TJ/F11 9.9626 Tf 9.963 0 Td [(\014)-53(y)]TJ -87.644 -14.944 Td [(y)]TJ/F14 9.9626 Tf 15.205 0 Td [(\040)]TJ/F11 9.9626 Tf 19.925 0 Td [(\013)-4(T)]TJ/F13 6.9738 Tf 13.616 4.113 Td [(\000)]TJ/F10 6.9738 Tf 6.226 0 Td [(H)]TJ/F11 9.9626 Tf 7.557 -4.113 Td [(x)]TJ/F8 9.9626 Tf 7.907 0 Td [(+)]TJ/F11 9.9626 Tf 9.963 0 Td [(\014)-53(y)]TJ -80.399 -14.944 Td [(y)]TJ/F14 9.9626 Tf 15.205 0 Td [(\040)]TJ/F11 9.9626 Tf 19.925 0 Td 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g 0 G -/F27 9.9626 Tf -24.906 -19.926 Td [(w)32(ork)]TJ -0 g 0 G -/F8 9.9626 Tf 29.431 0 Td [(a)-333(w)27(ork)-333(arra)28(y)83(.)]TJ -4.525 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(optional)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-377(as:)-531(a)-377(rank)-377(on)1(e)-377(arra)28(y)-377(of)-377(the)-377(same)-377(t)28(yp)-28(e)-377(of)]TJ/F11 9.9626 Tf 225.953 0 Td [(x)]TJ/F8 9.9626 Tf 9.448 0 Td [(with)-377(the)-377(T)84(AR)28(G)-1(E)1(T)]TJ -235.401 -11.955 Td [(attribute.)]TJ -0 g 0 G -/F27 9.9626 Tf -24.906 -19.926 Td [(On)-383(Return)]TJ +/F30 9.9626 Tf 135.658 0 Td [(psb)]TJ +ET +q +1 0 0 1 327.588 346.132 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 330.727 345.932 Td [(Tspmat)]TJ +ET +q +1 0 0 1 362.736 346.132 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 365.874 345.932 Td [(type)]TJ 0 g 0 G +/F8 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G - 0 -19.925 Td [(y)]TJ +/F27 9.9626 Tf -236.091 -19.925 Td [(desc)]TJ +ET +q +1 0 0 1 172.619 326.206 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +Q +BT +/F27 9.9626 Tf 176.057 326.007 Td [(a)]TJ 0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(the)-333(lo)-28(cal)-333(p)-28(ortion)-333(of)-334(global)-333(dense)-333(matrix)]TJ/F11 9.9626 Tf 176.118 0 Td [(y)]TJ/F8 9.9626 Tf 5.241 0 Td [(.)]TJ -167.481 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-474(as:)-727(an)-475(arra)28(y)-475(of)-474(rank)-475(one)-474(or)-475(t)28(w)28(o)-475(con)28(taining)-474(n)27(um)28(b)-28(ers)-474(of)-475(t)28(yp)-28(e)]TJ 0 -11.955 Td [(sp)-28(eci\014ed)-333(in)-333(T)83(able)]TJ +/F8 9.9626 Tf 10.55 0 Td [(con)28(tains)-334(data)-333(structures)-333(for)-333(c)-1(omm)28(unications.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(ob)-55(ject)-334(of)-333(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG - [-333(13)]TJ -0 g 0 G - [(.)]TJ +/F30 9.9626 Tf 135.659 0 Td [(psb)]TJ +ET +q +1 0 0 1 327.588 278.386 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 330.727 278.186 Td [(desc)]TJ +ET +q +1 0 0 1 352.275 278.386 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 355.414 278.186 Td [(type)]TJ 0 g 0 G -/F27 9.9626 Tf -24.906 -19.925 Td [(info)]TJ +/F8 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.148 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)28(te)-1(ger)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detec)-1(t)1(e)-1(d)1(.)]TJ +/F27 9.9626 Tf -225.63 -19.925 Td [(On)-383(Return)]TJ 0 g 0 G - 141.968 -73.723 Td [(48)]TJ 0 g 0 G -ET - -endstream -endobj -1136 0 obj -<< -/Length 632 ->> -stream + 0 -19.925 Td [(F)96(unction)-384(v)64(alue)]TJ 0 g 0 G +/F8 9.9626 Tf 78.386 0 Td [(is)-333(the)-334(in\014nit)28(y-norm)-333(of)-333(sparse)-334(submatrix)]TJ/F11 9.9626 Tf 176.311 0 Td [(A)]TJ/F8 9.9626 Tf 7.472 0 Td [(.)]TJ -237.263 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(long)-333(precision)-334(r)1(e)-1(al)-333(n)28(um)28(b)-28(er.)]TJ 0 g 0 G -BT -/F16 14.3462 Tf 99.895 706.129 Td [(5)-1125(Comm)31(unication)-375(routines)]TJ/F8 9.9626 Tf 0 -21.821 Td [(The)-283(routines)-283(in)-283(this)-283(c)28(hapter)-283(implemen)28(t)-283(v)55(arious)-283(global)-283(comm)28(unication)-283(op)-28(erators)]TJ 0 -11.955 Td [(on)-344(v)28(ectors)-344(asso)-28(ciated)-343(with)-344(a)-344(discretization)-343(mesh.)-476(F)84(or)-344(auxiliary)-344(comm)28(unication)]TJ 0 -11.955 Td [(routines)-333(not)-334(tied)-333(to)-333(a)-334(discretization)-333(space)-333(see)]TJ -0 0 1 rg 0 0 1 RG - [-334(6)]TJ +/F27 9.9626 Tf -24.906 -19.926 Td [(info)]TJ 0 g 0 G - [(.)]TJ +/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.148 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)28(te)-1(ger)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detec)-1(ted.)]TJ 0 g 0 G - 166.875 -569.96 Td [(49)]TJ + 141.968 -56.242 Td [(46)]TJ 0 g 0 G ET endstream endobj -1145 0 obj +1134 0 obj << -/Length 7227 +/Length 7328 >> stream 0 g 0 G 0 g 0 G BT -/F16 11.9552 Tf 150.705 706.129 Td [(psb)]TJ +/F16 11.9552 Tf 99.895 706.129 Td [(psb)]TJ ET q -1 0 0 1 171.761 706.328 cm +1 0 0 1 120.951 706.328 cm []0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q BT -/F16 11.9552 Tf 175.796 706.129 Td [(halo)-375(|)-375(Halo)-375(Data)-375(Comm)31(unication)]TJ/F8 9.9626 Tf -25.091 -18.389 Td [(These)-333(subroutines)-334(gathers)-333(the)-333(v)55(alues)-333(of)-333(the)-334(halo)-333(elemen)28(ts:)]TJ/F11 9.9626 Tf 158.413 -23.188 Td [(x)]TJ/F14 9.9626 Tf 8.461 0 Td [(\040)]TJ/F11 9.9626 Tf 12.73 0 Td [(x)]TJ/F8 9.9626 Tf -179.604 -21.251 Td [(where:)]TJ +/F16 11.9552 Tf 124.986 706.129 Td [(spmm)-375(|)-375(Sparse)-375(Matrix)-375(b)31(y)-375(Dense)-375(Matrix)-375(Pro)-31(duct)]TJ/F8 9.9626 Tf -25.091 -18.389 Td [(This)-333(subroutine)-334(computes)-333(the)-333(Sparse)-334(Matrix)-333(b)28(y)-333(Dense)-334(Matrix)-333(Pro)-28(duct:)]TJ/F11 9.9626 Tf 139.909 -23.911 Td [(y)]TJ/F14 9.9626 Tf 8.009 0 Td [(\040)]TJ/F11 9.9626 Tf 12.73 0 Td [(\013)-4(Ax)]TJ/F8 9.9626 Tf 21.79 0 Td [(+)]TJ/F11 9.9626 Tf 9.962 0 Td [(\014)-53(y)]TJ 0 g 0 G -/F11 9.9626 Tf 0 -19.391 Td [(x)]TJ +/F8 9.9626 Tf 138.581 0 Td [(\0501\051)]TJ +0 g 0 G +/F11 9.9626 Tf -194.21 -17.408 Td [(y)]TJ/F14 9.9626 Tf 8.009 0 Td [(\040)]TJ/F11 9.9626 Tf 12.73 0 Td [(\013)-4(A)]TJ/F10 6.9738 Tf 13.882 4.113 Td [(T)]TJ/F11 9.9626 Tf 6.276 -4.113 Td [(x)]TJ/F8 9.9626 Tf 7.908 0 Td [(+)]TJ/F11 9.9626 Tf 9.962 0 Td [(\014)-53(y)]TJ +0 g 0 G +/F8 9.9626 Tf 135.443 0 Td [(\0502\051)]TJ +0 g 0 G +/F11 9.9626 Tf -194.851 -17.408 Td [(y)]TJ/F14 9.9626 Tf 8.01 0 Td [(\040)]TJ/F11 9.9626 Tf 12.73 0 Td [(\013)-4(A)]TJ/F10 6.9738 Tf 13.882 4.113 Td [(H)]TJ/F11 9.9626 Tf 7.556 -4.113 Td [(x)]TJ/F8 9.9626 Tf 7.908 0 Td [(+)]TJ/F11 9.9626 Tf 9.963 0 Td [(\014)-53(y)]TJ +0 g 0 G +/F8 9.9626 Tf 134.802 0 Td [(\0503\051)]TJ +0 g 0 G + -316.037 -17.408 Td [(where:)]TJ +0 g 0 G +/F11 9.9626 Tf -14.944 -19.226 Td [(x)]TJ +0 g 0 G +/F8 9.9626 Tf 10.676 0 Td [(is)-333(the)-334(global)-333(dense)-333(matrix)]TJ/F11 9.9626 Tf 116.092 0 Td [(x)]TJ/F7 6.9738 Tf 5.694 -1.495 Td [(:)]TJ/F10 6.9738 Tf 2.256 0 Td [(;)]TJ/F7 6.9738 Tf 2.366 0 Td [(:)]TJ +0 g 0 G +/F11 9.9626 Tf -137.084 -18.081 Td [(y)]TJ 0 g 0 G -/F8 9.9626 Tf 10.675 0 Td [(is)-333(a)-334(global)-333(dense)-333(submatrix.)]TJ +/F8 9.9626 Tf 10.224 0 Td [(is)-333(the)-334(global)-333(dense)-333(matrix)]TJ/F11 9.9626 Tf 116.092 0 Td [(y)]TJ/F7 6.9738 Tf 4.885 -1.494 Td [(:)]TJ/F10 6.9738 Tf 2.255 0 Td [(;)]TJ/F7 6.9738 Tf 2.366 0 Td [(:)]TJ +0 g 0 G +/F11 9.9626 Tf -135.822 -18.081 Td [(A)]TJ +0 g 0 G +/F8 9.9626 Tf 12.454 0 Td [(is)-333(the)-334(global)-333(sparse)-333(matrix)]TJ/F11 9.9626 Tf 118.943 0 Td [(A)]TJ 0 g 0 G 0 g 0 G 0 g 0 G ET q -1 0 0 1 228.797 602.649 cm +1 0 0 1 177.988 532.215 cm []0 d 0 J 0.398 w 0 0 m 187.526 0 l S Q BT -/F11 9.9626 Tf 234.775 594.081 Td [(\013)]TJ/F8 9.9626 Tf 6.41 0 Td [(,)]TJ/F11 9.9626 Tf 6.088 0 Td [(x)]TJ/F27 9.9626 Tf 107.912 0 Td [(Subroutine)]TJ +/F11 9.9626 Tf 183.966 523.647 Td [(A)]TJ/F8 9.9626 Tf 7.472 0 Td [(,)]TJ/F11 9.9626 Tf 6.088 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(,)]TJ/F11 9.9626 Tf 6.088 0 Td [(y)]TJ/F8 9.9626 Tf 5.242 0 Td [(,)]TJ/F11 9.9626 Tf 6.088 0 Td [(\013)]TJ/F8 9.9626 Tf 6.41 0 Td [(,)]TJ/F11 9.9626 Tf 6.089 0 Td [(\014)]TJ/F27 9.9626 Tf 71.238 0 Td [(Subroutine)]TJ ET q -1 0 0 1 228.797 590.295 cm +1 0 0 1 177.988 519.862 cm []0 d 0 J 0.398 w 0 0 m 187.526 0 l S Q BT -/F8 9.9626 Tf 234.775 581.727 Td [(In)28(teger)-9028(psb)]TJ -ET -q -1 0 0 1 370.782 581.926 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S -Q -BT -/F8 9.9626 Tf 373.771 581.727 Td [(halo)]TJ -138.996 -11.955 Td [(Short)-333(Precision)-334(Real)-3102(psb)]TJ +/F8 9.9626 Tf 183.966 511.294 Td [(Short)-333(Precision)-333(R)-1(eal)-3102(psb)]TJ ET q -1 0 0 1 370.782 569.971 cm +1 0 0 1 319.972 511.493 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 373.771 569.772 Td [(halo)]TJ -138.996 -11.955 Td [(Long)-333(Precision)-334(Real)-3314(psb)]TJ +/F8 9.9626 Tf 322.961 511.294 Td [(spmm)]TJ -138.995 -11.956 Td [(Long)-333(Precision)-334(Real)-3314(p)1(s)-1(b)]TJ ET q -1 0 0 1 370.782 558.016 cm +1 0 0 1 319.972 499.538 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 373.771 557.817 Td [(halo)]TJ -138.996 -11.955 Td [(Short)-333(Precision)-334(Complex)-1200(psb)]TJ +/F8 9.9626 Tf 322.961 499.338 Td [(spmm)]TJ -138.995 -11.955 Td [(Short)-333(Precision)-333(C)-1(omplex)-1200(p)1(s)-1(b)]TJ ET q -1 0 0 1 370.782 546.061 cm +1 0 0 1 319.972 487.583 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 373.771 545.862 Td [(halo)]TJ -138.996 -11.956 Td [(Long)-333(Precision)-334(Complex)-1411(psb)]TJ +/F8 9.9626 Tf 322.961 487.383 Td [(spmm)]TJ -138.995 -11.955 Td [(Long)-333(Precision)-334(Complex)-1411(psb)]TJ ET q -1 0 0 1 370.782 534.106 cm +1 0 0 1 319.972 475.627 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 373.771 533.906 Td [(halo)]TJ +/F8 9.9626 Tf 322.961 475.428 Td [(spmm)]TJ ET q -1 0 0 1 228.797 530.121 cm +1 0 0 1 177.988 471.642 cm []0 d 0 J 0.398 w 0 0 m 187.526 0 l S Q 0 g 0 G BT -/F8 9.9626 Tf 276.386 502.081 Td [(T)83(able)-333(14:)-444(Data)-334(t)28(yp)-28(es)]TJ +/F8 9.9626 Tf 225.577 443.603 Td [(T)83(able)-333(12:)-444(Data)-334(t)28(yp)-28(es)]TJ +0 g 0 G +0 g 0 G +0 g 0 G +0 g 0 G +/F30 9.9626 Tf -125.682 -32.649 Td [(call)-525(psb_spmm\050alpha,)-525(a,)-525(x,)-525(beta,)-525(y,)-525(desc_a,)-525(info\051)]TJ 0 -11.955 Td [(call)-525(psb_spmm\050alpha,)-525(a,)-525(x,)-525(beta,)-525(y,desc_a,)-525(info,)-525(&)]TJ 67.995 -11.955 Td [(&)-525(trans,)-525(work\051)]TJ +0 g 0 G +/F27 9.9626 Tf -67.995 -21.044 Td [(T)32(yp)-32(e:)]TJ +0 g 0 G +/F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ +0 g 0 G +/F27 9.9626 Tf -33.797 -19.575 Td [(On)-383(En)32(try)]TJ +0 g 0 G +0 g 0 G + 0 -19.576 Td [(alpha)]TJ +0 g 0 G +/F8 9.9626 Tf 32.033 0 Td [(the)-333(scalar)]TJ/F11 9.9626 Tf 45.468 0 Td [(\013)]TJ/F8 9.9626 Tf 6.41 0 Td [(.)]TJ -59.004 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(n)28(um)28(b)-28(er)-333(of)-334(the)-333(data)-333(t)28(yp)-28(e)-334(ind)1(ic)-1(ated)-333(in)-333(T)83(able)]TJ +0 0 1 rg 0 0 1 RG + [-333(12)]TJ +0 g 0 G + [(.)]TJ 0 g 0 G +/F27 9.9626 Tf -24.907 -19.575 Td [(a)]TJ 0 g 0 G -/F27 9.9626 Tf -124.304 -29.354 Td [(c)-138(a)-138(l)-139(l)]TJ/F8 9.9626 Tf 29.73 0 Td [(p)-122(s)-123(b)]TJ +/F8 9.9626 Tf 10.551 0 Td [(the)-333(lo)-28(cal)-333(p)-28(ortion)-333(of)-334(the)-333(sparse)-333(matrix)]TJ/F11 9.9626 Tf 166.792 0 Td [(A)]TJ/F8 9.9626 Tf 7.472 0 Td [(.)]TJ -159.908 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(ob)-55(ject)-334(of)-333(t)28(yp)-28(e)]TJ +0 0 1 rg 0 0 1 RG +/F30 9.9626 Tf 135.658 0 Td [(psb)]TJ ET q -1 0 0 1 201.066 472.926 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +1 0 0 1 276.779 211.831 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F8 9.9626 Tf 205.274 472.727 Td [(h)-122(a)-123(l)-122(o)-228(\050)-129(x)-210(,)-873(d)-113(e)-113(s)-112(c)]TJ +/F30 9.9626 Tf 279.917 211.632 Td [(Tspmat)]TJ ET q -1 0 0 1 276.854 472.926 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +1 0 0 1 311.927 211.831 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 315.065 211.632 Td [(type)]TJ +0 g 0 G +/F8 9.9626 Tf 20.921 0 Td [(.)]TJ +0 g 0 G +/F27 9.9626 Tf -236.091 -19.575 Td [(x)]TJ +0 g 0 G +/F8 9.9626 Tf 11.028 0 Td [(the)-333(lo)-28(cal)-333(p)-28(ortion)-333(of)-334(global)-333(dense)-333(matrix)]TJ/F11 9.9626 Tf 176.118 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ -167.933 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-255(as:)-405(a)-255(rank)-254(one)-255(or)-255(t)28(w)27(o)-254(arra)27(y)-254(or)-255(an)-255(ob)-55(jec)-1(t)-254(of)-255(t)28(yp)-28(e)]TJ +0 0 1 rg 0 0 1 RG +/F30 9.9626 Tf 244.743 0 Td [(psb)]TJ +ET +q +1 0 0 1 385.864 144.435 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F8 9.9626 Tf 280.965 472.727 Td [(a)-386(,)-914(i)-152(n)-152(f)-152(o)-258(\051)]TJ/F27 9.9626 Tf -128.883 -11.955 Td [(c)-138(a)-138(l)-139(l)]TJ/F8 9.9626 Tf 29.73 0 Td [(p)-122(s)-123(b)]TJ +/F30 9.9626 Tf 389.002 144.236 Td [(T)]TJ ET q -1 0 0 1 201.066 460.971 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +1 0 0 1 394.86 144.435 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F8 9.9626 Tf 205.274 460.772 Td [(h)-122(a)-123(l)-122(o)-228(\050)-129(x)-210(,)-873(d)-113(e)-113(s)-112(c)]TJ +/F30 9.9626 Tf 397.998 144.236 Td [(vect)]TJ ET q -1 0 0 1 276.854 460.971 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +1 0 0 1 419.547 144.435 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F8 9.9626 Tf 280.965 460.772 Td [(a)-386(,)-888(i)-127(n)-127(f)-127(o)-415(,)-804(w)-43(o)-43(r)-43(k)-247(,)]TJ/F27 9.9626 Tf 91.303 0 Td [(d)-39(a)-39(t)-40(a)]TJ/F8 9.9626 Tf 24.572 0 Td [(\051)]TJ +/F30 9.9626 Tf 422.685 144.236 Td [(type)]TJ 0 g 0 G +/F8 9.9626 Tf -297.883 -11.955 Td [(con)28(taining)-342(n)28(um)28(b)-28(ers)-342(of)-342(t)28(yp)-28(e)-342(sp)-28(eci\014ed)-342(in)-341(T)83(able)]TJ +0 0 1 rg 0 0 1 RG + [-342(12)]TJ 0 g 0 G + [(.)-470(The)-342(rank)-342(of)]TJ/F11 9.9626 Tf 274.694 0 Td [(x)]TJ/F8 9.9626 Tf 9.101 0 Td [(m)28(ust)-342(b)-28(e)]TJ -283.795 -11.955 Td [(the)-333(same)-334(of)]TJ/F11 9.9626 Tf 53.466 0 Td [(y)]TJ/F8 9.9626 Tf 5.242 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -246.135 -26.961 Td [(T)32(yp)-32(e:)]TJ + 83.26 -29.888 Td [(47)]TJ 0 g 0 G -/F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ +ET + +endstream +endobj +1149 0 obj +<< +/Length 6975 +>> +stream 0 g 0 G -/F27 9.9626 Tf -33.797 -19.659 Td [(On)-383(En)32(try)]TJ 0 g 0 G 0 g 0 G - 0 -19.658 Td [(x)]TJ +BT +/F27 9.9626 Tf 150.705 706.129 Td [(b)-32(eta)]TJ 0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(global)-333(dense)-334(matrix)]TJ/F11 9.9626 Tf 88.917 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ -80.732 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.378 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(inout)]TJ/F8 9.9626 Tf 26.097 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-255(as:)-405(a)-255(rank)-254(one)-255(or)-255(t)28(w)28(o)-255(arra)28(y)-255(or)-255(an)-255(ob)-55(ject)-255(of)-255(t)28(yp)-28(e)]TJ +/F8 9.9626 Tf 26.94 0 Td [(the)-333(scalar)]TJ/F11 9.9626 Tf 45.469 0 Td [(\014)]TJ/F8 9.9626 Tf 6.161 0 Td [(.)]TJ -53.664 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(n)28(um)28(b)-28(er)-333(of)-334(the)-333(data)-333(t)27(yp)-27(e)-334(indicated)-333(in)-333(T)83(able)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 244.742 0 Td [(psb)]TJ + [-333(12)]TJ +0 g 0 G + [(.)]TJ +0 g 0 G +/F27 9.9626 Tf -24.906 -18.453 Td [(y)]TJ +0 g 0 G +/F8 9.9626 Tf 11.028 0 Td [(the)-333(lo)-28(cal)-333(p)-28(ortion)-333(of)-334(global)-333(dense)-333(matrix)]TJ/F11 9.9626 Tf 176.118 0 Td [(y)]TJ/F8 9.9626 Tf 5.242 0 Td [(.)]TJ -167.482 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-255(as:)-405(a)-255(rank)-254(one)-255(or)-255(t)28(w)27(o)-254(arra)27(y)-254(or)-255(an)-255(ob)-56(j)1(e)-1(ct)-254(of)-255(t)28(yp)-28(e)]TJ +0 0 1 rg 0 0 1 RG +/F30 9.9626 Tf 244.743 0 Td [(psb)]TJ ET q -1 0 0 1 436.673 346.872 cm +1 0 0 1 436.673 592.233 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 439.811 346.673 Td [(T)]TJ +/F30 9.9626 Tf 439.811 592.034 Td [(T)]TJ ET q -1 0 0 1 445.669 346.872 cm +1 0 0 1 445.669 592.233 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 448.807 346.673 Td [(vect)]TJ +/F30 9.9626 Tf 448.807 592.034 Td [(vect)]TJ ET q -1 0 0 1 470.356 346.872 cm +1 0 0 1 470.356 592.233 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 473.495 346.673 Td [(type)]TJ +/F30 9.9626 Tf 473.495 592.034 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf -297.884 -11.955 Td [(con)28(taining)-333(n)27(um)28(b)-28(ers)-333(of)-333(t)27(yp)-27(e)-334(sp)-27(ec)-1(i)1(\014ed)-334(in)-333(T)83(able)]TJ +/F8 9.9626 Tf -297.884 -11.955 Td [(con)28(taining)-345(n)28(um)28(b)-28(ers)-345(of)-345(t)28(yp)-28(e)-345(sp)-28(eci\014ed)-345(in)-345(T)84(able)]TJ 0 0 1 rg 0 0 1 RG - [-333(14)]TJ + [-345(12)]TJ 0 g 0 G - [(.)]TJ + [(.)-479(The)-345(rank)-345(of)]TJ/F11 9.9626 Tf 275.087 0 Td [(y)]TJ/F8 9.9626 Tf 8.678 0 Td [(m)28(ust)-345(b)-28(e)]TJ -283.765 -11.955 Td [(the)-333(same)-334(of)]TJ/F11 9.9626 Tf 53.467 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -24.906 -19.658 Td [(desc)]TJ +/F27 9.9626 Tf -84.067 -18.454 Td [(desc)]TJ ET q -1 0 0 1 172.619 315.259 cm +1 0 0 1 172.619 549.87 cm []0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F27 9.9626 Tf 176.057 315.06 Td [(a)]TJ +/F27 9.9626 Tf 176.057 549.67 Td [(a)]TJ 0 g 0 G -/F8 9.9626 Tf 10.55 0 Td [(con)28(tains)-334(data)-333(structures)-333(for)-333(c)-1(omm)28(unications.)]TJ -10.996 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ +/F8 9.9626 Tf 10.55 0 Td [(con)28(tains)-334(data)-333(structures)-333(for)-333(c)-1(omm)28(unications.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(ob)-55(ject)-334(of)-333(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ +/F30 9.9626 Tf 135.659 0 Td [(psb)]TJ ET q -1 0 0 1 362.845 267.438 cm +1 0 0 1 327.588 502.049 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 365.983 267.239 Td [(desc)]TJ +/F30 9.9626 Tf 330.727 501.85 Td [(desc)]TJ ET q -1 0 0 1 387.532 267.438 cm +1 0 0 1 352.275 502.049 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 390.67 267.239 Td [(type)]TJ +/F30 9.9626 Tf 355.414 501.85 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.922 0 Td [(.)]TJ -0 g 0 G -/F27 9.9626 Tf -260.887 -19.658 Td [(w)32(ork)]TJ -0 g 0 G -/F8 9.9626 Tf 29.431 0 Td [(the)-333(w)27(ork)-333(arra)28(y)83(.)]TJ -4.525 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(optional)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(rank)-333(one)-334(ar)1(ra)27(y)-333(of)-333(the)-334(same)-333(t)28(yp)-28(e)-333(of)]TJ/F11 9.9626 Tf 220.756 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ +/F8 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -251.356 -19.659 Td [(data)]TJ +/F27 9.9626 Tf -225.63 -18.454 Td [(trans)]TJ 0 g 0 G -/F8 9.9626 Tf 26.94 0 Td [(index)-333(list)-334(selector.)]TJ -2.034 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(optional)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(Sp)-28(eci\014ed)-222(as:)-389(an)-222(in)28(teger.)-408(V)84(alues:)]TJ/F30 9.9626 Tf 136.48 0 Td [(psb_comm_halo_)]TJ/F8 9.9626 Tf 73.224 0 Td [(,)]TJ/F30 9.9626 Tf 2.768 0 Td [(psb_comm_mov_)]TJ/F8 9.9626 Tf 67.994 0 Td [(,)]TJ/F30 9.9626 Tf 5.203 0 Td [(psb_comm_ext_)]TJ/F8 9.9626 Tf 67.994 0 Td [(,)]TJ -353.663 -11.955 Td [(default:)]TJ/F30 9.9626 Tf 39.089 0 Td [(psb_comm_halo_)]TJ/F8 9.9626 Tf 73.225 0 Td [(.)-705(Cho)-27(ose)-1(s)-420(the)-420(index)-420(list)-420(on)-420(whic)28(h)-420(to)-420(base)-420(the)]TJ -112.314 -11.955 Td [(data)-333(exc)27(hange.)]TJ +/F8 9.9626 Tf 30.609 0 Td [(indicates)-333(what)-334(kind)-333(of)-333(op)-28(eration)-333(to)-333(p)-28(erform.)]TJ 0 g 0 G - 141.968 -29.888 Td [(50)]TJ +/F27 9.9626 Tf -5.703 -18.453 Td [(trans)-383(=)-384(N)]TJ 0 g 0 G -ET - -endstream -endobj -1155 0 obj -<< -/Length 3199 ->> -stream +/F8 9.9626 Tf 56.124 0 Td [(the)-333(op)-28(eration)-333(is)-334(sp)-28(eci\014ed)-333(b)28(y)-333(equation)]TJ +0 0 1 rg 0 0 1 RG + [-334(1)]TJ 0 g 0 G 0 g 0 G +/F27 9.9626 Tf -56.124 -14.469 Td [(trans)-383(=)-384(T)]TJ 0 g 0 G -BT -/F27 9.9626 Tf 99.895 706.129 Td [(On)-383(Return)]TJ +/F8 9.9626 Tf 55.128 0 Td [(the)-333(op)-28(eration)-333(is)-334(sp)-28(eci\014ed)-333(b)28(y)-333(equation)]TJ +0 0 1 rg 0 0 1 RG + [-334(2)]TJ 0 g 0 G 0 g 0 G - 0 -19.925 Td [(x)]TJ +/F27 9.9626 Tf -55.128 -14.468 Td [(trans)-383(=)-384(C)]TJ 0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(global)-333(dense)-334(result)-333(matrix)]TJ/F11 9.9626 Tf 116.674 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ -108.489 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Returned)-271(as:)-414(a)-271(rank)-271(one)-271(or)-272(t)28(w)28(o)-271(arra)28(y)-272(con)28(taining)-271(n)28(um)28(b)-28(ers)-271(of)-272(t)28(yp)-28(e)-271(sp)-28(eci\014ed)]TJ 0 -11.955 Td [(in)-333(T)83(able)]TJ +/F8 9.9626 Tf 55.433 0 Td [(the)-333(op)-28(eration)-333(is)-334(sp)-27(ec)-1(i\014)1(e)-1(d)-333(b)28(y)-333(equation)]TJ 0 0 1 rg 0 0 1 RG - [-333(14)]TJ + [-334(3)]TJ 0 g 0 G - [(.)]TJ + -55.433 -18.453 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(optional)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Default:)]TJ/F11 9.9626 Tf 39.436 0 Td [(tr)-28(ans)]TJ/F8 9.9626 Tf 27.052 0 Td [(=)]TJ/F11 9.9626 Tf 10.517 0 Td [(N)]TJ/F8 9.9626 Tf -77.005 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(c)28(haracter)-334(v)56(ariable.)]TJ 0 g 0 G -/F27 9.9626 Tf -24.907 -19.926 Td [(info)]TJ +/F27 9.9626 Tf -24.906 -18.454 Td [(w)32(ork)]TJ 0 g 0 G -/F8 9.9626 Tf 23.758 0 Td [(the)-333(lo)-28(cal)-333(p)-28(ortion)-333(of)-334(result)-333(submatrix)]TJ/F11 9.9626 Tf 162.364 0 Td [(y)]TJ/F8 9.9626 Tf 5.242 0 Td [(.)]TJ -166.457 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)28(tege)-1(r)-333(v)56(alue)-334(that)-333(con)28(tains)-333(an)-334(error)-333(co)-28(de.)]TJ +/F8 9.9626 Tf 29.431 0 Td 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[(These)-333(s)-1(u)1(broutines)-334(applies)-333(an)-333(o)27(v)28(erlap)-333(op)-28(erator)-333(to)-333(the)-334(input)-333(v)28(ector:)]TJ/F11 9.9626 Tf 154.475 -22.077 Td [(x)]TJ/F14 9.9626 Tf 8.462 0 Td [(\040)]TJ/F11 9.9626 Tf 12.73 0 Td [(Qx)]TJ/F8 9.9626 Tf -175.667 -20.14 Td [(where:)]TJ +/F16 11.9552 Tf 124.986 706.129 Td [(spsm)-375(|)-375(T)94(riangular)-375(System)-375(Solv)31(e)]TJ/F8 9.9626 Tf -25.091 -19.095 Td [(This)-333(subroutine)-334(computes)-333(the)-333(T)83(riangular)-333(System)-334(Solv)28(e:)]TJ/F11 9.9626 Tf 121.693 -35.01 Td [(y)]TJ/F14 9.9626 Tf 15.204 0 Td [(\040)]TJ/F11 9.9626 Tf 19.925 0 Td [(\013)-4(T)]TJ/F13 6.9738 Tf 13.616 4.113 Td [(\000)]TJ/F7 6.9738 Tf 6.227 0 Td [(1)]TJ/F11 9.9626 Tf 4.469 -4.113 Td [(x)]TJ/F8 9.9626 Tf 7.908 0 Td [(+)]TJ/F11 9.9626 Tf 9.962 0 Td [(\014)-53(y)]TJ -77.311 -14.944 Td [(y)]TJ/F14 9.9626 Tf 15.204 0 Td [(\040)]TJ/F11 9.9626 Tf 19.925 0 Td [(\013)-4(D)-28(T)]TJ/F13 6.9738 Tf 22.141 4.113 Td [(\000)]TJ/F7 6.9738 Tf 6.227 0 Td [(1)]TJ/F11 9.9626 Tf 4.469 -4.113 Td [(x)]TJ/F8 9.9626 Tf 7.908 0 Td [(+)]TJ/F11 9.9626 Tf 9.962 0 Td [(\014)-53(y)]TJ -85.836 -14.944 Td [(y)]TJ/F14 9.9626 Tf 15.204 0 Td [(\040)]TJ/F11 9.9626 Tf 19.925 0 Td [(\013)-4(T)]TJ/F13 6.9738 Tf 13.616 4.113 Td [(\000)]TJ/F7 6.9738 Tf 6.227 0 Td [(1)]TJ/F11 9.9626 Tf 4.469 -4.113 Td [(D)-28(x)]TJ/F8 9.9626 Tf 16.433 0 Td [(+)]TJ/F11 9.9626 Tf 9.962 0 Td [(\014)-53(y)]TJ -85.836 -14.944 Td [(y)]TJ/F14 9.9626 Tf 15.204 0 Td [(\040)]TJ/F11 9.9626 Tf 19.925 0 Td [(\013)-4(T)]TJ/F13 6.9738 Tf 13.616 4.113 Td [(\000)]TJ/F10 6.9738 Tf 6.227 0 Td [(T)]TJ/F11 9.9626 Tf 6.276 -4.113 Td [(x)]TJ/F8 9.9626 Tf 7.908 0 Td [(+)]TJ/F11 9.9626 Tf 9.962 0 Td [(\014)-53(y)]TJ -79.118 -14.944 Td [(y)]TJ/F14 9.9626 Tf 15.204 0 Td [(\040)]TJ/F11 9.9626 Tf 19.925 0 Td [(\013)-4(D)-28(T)]TJ/F13 6.9738 Tf 22.141 4.113 Td [(\000)]TJ/F10 6.9738 Tf 6.227 0 Td [(T)]TJ/F11 9.9626 Tf 6.276 -4.113 Td [(x)]TJ/F8 9.9626 Tf 7.908 0 Td [(+)]TJ/F11 9.9626 Tf 9.962 0 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[(\013)-4(T)]TJ/F13 6.9738 Tf 13.616 4.113 Td [(\000)]TJ/F10 6.9738 Tf 6.227 0 Td [(H)]TJ/F11 9.9626 Tf 7.556 -4.113 Td [(D)-28(x)]TJ/F8 9.9626 Tf 16.433 0 Td [(+)]TJ/F11 9.9626 Tf 9.962 0 Td [(\014)-53(y)]TJ/F8 9.9626 Tf -195.672 -37.999 Td [(where:)]TJ 0 g 0 G -/F11 9.9626 Tf 0 -18.503 Td [(x)]TJ +/F11 9.9626 Tf -14.944 -21.063 Td [(x)]TJ +0 g 0 G +/F8 9.9626 Tf 10.676 0 Td [(is)-333(the)-334(global)-333(dense)-333(matrix)]TJ/F11 9.9626 Tf 116.092 0 Td [(x)]TJ/F7 6.9738 Tf 5.694 -1.494 Td [(:)]TJ/F10 6.9738 Tf 2.256 0 Td [(;)]TJ/F7 6.9738 Tf 2.366 0 Td [(:)]TJ +0 g 0 G +/F11 9.9626 Tf -137.084 -19.948 Td [(y)]TJ +0 g 0 G +/F8 9.9626 Tf 10.224 0 Td [(is)-333(the)-334(global)-333(dense)-333(matrix)]TJ/F11 9.9626 Tf 116.092 0 Td [(y)]TJ/F7 6.9738 Tf 4.885 -1.494 Td [(:)]TJ/F10 6.9738 Tf 2.255 0 Td [(;)]TJ/F7 6.9738 Tf 2.366 0 Td [(:)]TJ +0 g 0 G +/F11 9.9626 Tf -135.822 -19.948 Td [(T)]TJ +0 g 0 G +/F8 9.9626 Tf 12.187 0 Td [(is)-333(the)-334(global)-333(sparse)-333(blo)-28(c)28(k)-334(triangular)-333(submatrix)]TJ/F11 9.9626 Tf 206.781 0 Td [(T)]TJ 0 g 0 G -/F8 9.9626 Tf 10.676 0 Td [(is)-333(the)-334(global)-333(dense)-333(submatrix)]TJ/F11 9.9626 Tf 131.092 0 Td [(x)]TJ + -218.968 -21.441 Td [(D)]TJ 0 g 0 G - -141.768 -19.214 Td [(Q)]TJ +/F8 9.9626 Tf 13.507 0 Td [(is)-333(the)-334(scaling)-333(diagonal)-333(matrix.)]TJ 0 g 0 G -/F8 9.9626 Tf 12.858 0 Td [(is)-333(the)-334(o)28(v)28(erlap)-333(op)-28(erator;)-333(it)-334(is)-333(the)-333(comp)-28(osition)-334(of)-333(t)28(w)28(o)-334(op)-27(erators)]TJ/F11 9.9626 Tf 271.842 0 Td [(P)]TJ/F10 6.9738 Tf 6.396 -1.494 Td [(a)]TJ/F8 9.9626 Tf 8.14 1.494 Td [(and)]TJ/F11 9.9626 Tf 19.372 0 Td [(P)]TJ/F10 6.9738 Tf 7.78 3.616 Td [(T)]TJ/F8 9.9626 Tf 6.276 -3.616 Td [(.)]TJ +0 g 0 G +/F30 9.9626 Tf -13.507 -23.814 Td [(call)-525(psb_spsm\050alpha,)-525(t,)-525(x,)-525(beta,)-525(y,)-525(desc_a,)-525(info\051)]TJ 0 -11.955 Td [(call)-525(psb_spsm\050alpha,)-525(t,)-525(x,)-525(beta,)-525(y,)-525(desc_a,)-525(info,&)]TJ 67.995 -11.955 Td [(&)-525(trans,)-525(unit,)-525(choice,)-525(diag,)-525(work\051)]TJ 0 g 0 G 0 g 0 G 0 g 0 G ET q -1 0 0 1 177.988 587.879 cm +1 0 0 1 177.988 335.134 cm []0 d 0 J 0.398 w 0 0 m 187.526 0 l S Q BT -/F11 9.9626 Tf 183.966 579.311 Td [(x)]TJ/F27 9.9626 Tf 120.409 0 Td [(Subroutine)]TJ +/F11 9.9626 Tf 183.966 326.566 Td [(T)]TJ/F8 9.9626 Tf 7.205 0 Td [(,)]TJ/F11 9.9626 Tf 6.088 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(,)]TJ/F11 9.9626 Tf 6.089 0 Td [(y)]TJ/F8 9.9626 Tf 5.242 0 Td [(,)]TJ/F11 9.9626 Tf 6.088 0 Td [(D)]TJ/F8 9.9626 Tf 8.525 0 Td [(,)]TJ/F11 9.9626 Tf 6.088 0 Td [(\013)]TJ/F8 9.9626 Tf 6.41 0 Td [(,)]TJ/F11 9.9626 Tf 6.088 0 Td [(\014)]TJ/F27 9.9626 Tf 56.892 0 Td [(Subroutine)]TJ ET q -1 0 0 1 177.988 575.525 cm +1 0 0 1 177.988 322.78 cm []0 d 0 J 0.398 w 0 0 m 187.526 0 l S Q BT -/F8 9.9626 Tf 183.966 566.957 Td [(Short)-333(Precision)-333(R)-1(eal)-3102(psb)]TJ +/F8 9.9626 Tf 183.966 314.213 Td [(Short)-333(Precision)-333(R)-1(eal)-3102(psb)]TJ ET q -1 0 0 1 319.972 567.156 cm +1 0 0 1 319.972 314.412 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 322.961 566.957 Td [(o)28(vrl)]TJ -138.995 -11.955 Td [(Long)-333(Precision)-334(Real)-3314(p)1(s)-1(b)]TJ +/F8 9.9626 Tf 322.961 314.213 Td [(spsm)]TJ -138.995 -11.956 Td [(Long)-333(Precision)-334(Real)-3314(p)1(s)-1(b)]TJ ET q -1 0 0 1 319.972 555.201 cm +1 0 0 1 319.972 302.457 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 322.961 555.002 Td [(o)28(vrl)]TJ -138.995 -11.955 Td [(Short)-333(Precision)-333(C)-1(omplex)-1200(p)1(s)-1(b)]TJ +/F8 9.9626 Tf 322.961 302.257 Td [(spsm)]TJ -138.995 -11.955 Td [(Short)-333(Precision)-333(C)-1(omplex)-1200(p)1(s)-1(b)]TJ ET q -1 0 0 1 319.972 543.246 cm +1 0 0 1 319.972 290.501 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 322.961 543.047 Td [(o)28(vrl)]TJ -138.995 -11.956 Td [(Long)-333(Precision)-334(Complex)-1411(psb)]TJ +/F8 9.9626 Tf 322.961 290.302 Td [(spsm)]TJ -138.995 -11.955 Td [(Long)-333(Precision)-334(Complex)-1411(psb)]TJ ET q -1 0 0 1 319.972 531.291 cm +1 0 0 1 319.972 278.546 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 322.961 531.091 Td [(o)28(vrl)]TJ +/F8 9.9626 Tf 322.961 278.347 Td [(spsm)]TJ ET q -1 0 0 1 177.988 527.306 cm +1 0 0 1 177.988 274.561 cm []0 d 0 J 0.398 w 0 0 m 187.526 0 l S Q 0 g 0 G BT -/F8 9.9626 Tf 225.577 499.266 Td [(T)83(able)-333(15:)-444(Data)-334(t)28(yp)-28(es)]TJ +/F8 9.9626 Tf 225.577 246.522 Td [(T)83(able)-333(13:)-444(Data)-334(t)28(yp)-28(es)]TJ 0 g 0 G 0 g 0 G -/F27 9.9626 Tf -124.305 -28.465 Td [(c)-138(a)-138(l)-139(l)]TJ/F8 9.9626 Tf 29.881 0 Td [(p)-137(s)-138(b)]TJ -ET -q -1 0 0 1 150.859 471 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S -Q -BT -/F8 9.9626 Tf 155.217 470.801 Td [(o)-138(v)-137(r)-137(l)-243(\050)-130(x)-209(,)-874(d)-113(e)-112(s)-113(c)]TJ +0 g 0 G +/F27 9.9626 Tf -125.682 -35.492 Td [(T)32(yp)-32(e:)]TJ +0 g 0 G +/F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ +0 g 0 G +/F27 9.9626 Tf -33.797 -21.442 Td [(On)-383(En)32(try)]TJ +0 g 0 G +0 g 0 G + 0 -21.442 Td [(alpha)]TJ +0 g 0 G +/F8 9.9626 Tf 32.033 0 Td [(the)-333(scalar)]TJ/F11 9.9626 Tf 45.468 0 Td [(\013)]TJ/F8 9.9626 Tf 6.41 0 Td [(.)]TJ -59.004 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(n)28(um)28(b)-28(er)-333(of)-334(the)-333(data)-333(t)28(yp)-28(e)-334(ind)1(ic)-1(ated)-333(in)-333(T)83(able)]TJ +0 0 1 rg 0 0 1 RG + [-333(13)]TJ +0 g 0 G + [(.)]TJ +0 g 0 G + 141.968 -29.888 Td [(49)]TJ +0 g 0 G ET -q -1 0 0 1 226.044 471 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S -Q + +endstream +endobj +1167 0 obj +<< +/Length 7789 +>> +stream +0 g 0 G +0 g 0 G +0 g 0 G BT -/F8 9.9626 Tf 230.155 470.801 Td [(a)-386(,)-914(i)-152(n)-152(f)-152(o)-258(\051)]TJ/F27 9.9626 Tf -128.883 -11.955 Td [(c)-138(a)-138(l)-139(l)]TJ/F8 9.9626 Tf 29.881 0 Td [(p)-137(s)-138(b)]TJ +/F27 9.9626 Tf 150.705 706.129 Td [(t)]TJ +0 g 0 G +/F8 9.9626 Tf 9.437 0 Td [(the)-333(global)-334(p)-27(ortion)-334(of)-333(the)-333(sparse)-334(matrix)]TJ/F11 9.9626 Tf 172.603 0 Td [(T)]TJ/F8 9.9626 Tf 7.205 0 Td [(.)]TJ -164.339 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(ob)-55(ject)-334(t)28(yp)-28(e)-333(sp)-28(eci\014ed)-333(in)]TJ/F14 9.9626 Tf 176.118 0 Td [(x)]TJ +0 0 1 rg 0 0 1 RG +/F8 9.9626 Tf 7.749 0 Td [(3)]TJ +0 g 0 G + [(.)]TJ +0 g 0 G +/F27 9.9626 Tf -208.773 -20.65 Td [(x)]TJ +0 g 0 G +/F8 9.9626 Tf 11.028 0 Td [(the)-333(lo)-28(cal)-333(p)-28(ortion)-333(of)-334(global)-333(dense)-333(matrix)]TJ/F11 9.9626 Tf 176.118 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ -167.934 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-255(as:)-405(a)-255(rank)-254(one)-255(or)-255(t)28(w)27(o)-254(arra)27(y)-254(or)-255(an)-255(ob)-56(j)1(e)-1(ct)-254(of)-255(t)28(yp)-28(e)]TJ +0 0 1 rg 0 0 1 RG +/F30 9.9626 Tf 244.743 0 Td [(psb)]TJ ET q -1 0 0 1 150.859 459.045 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +1 0 0 1 436.673 590.037 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F8 9.9626 Tf 155.217 458.846 Td [(o)-138(v)-137(r)-137(l)-243(\050)-130(x)-209(,)-874(d)-113(e)-112(s)-113(c)]TJ +/F30 9.9626 Tf 439.811 589.838 Td [(T)]TJ ET q -1 0 0 1 226.044 459.045 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +1 0 0 1 445.669 590.037 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F8 9.9626 Tf 230.155 458.846 Td [(a)-386(,)-888(i)-127(n)-127(f)-127(o)-415(,)-847(u)-85(p)-86(d)-86(a)-85(t)-86(e)3(=)-13(u)-102(p)-101(d)-102(a)-102(t)-102(e)]TJ +/F30 9.9626 Tf 448.807 589.838 Td [(vect)]TJ ET q -1 0 0 1 364.631 459.045 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +1 0 0 1 470.356 590.037 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F8 9.9626 Tf 368.634 458.846 Td [(t)-102(y)-102(p)-101(e)-365(,)-813(w)-52(o)-51(r)-52(k)37(=)38(w)-52(o)-52(r)-51(k)-158(\051)]TJ -0 g 0 G +/F30 9.9626 Tf 473.495 589.838 Td [(type)]TJ 0 g 0 G +/F8 9.9626 Tf -297.884 -11.955 Td [(con)28(taining)-342(n)28(um)28(b)-28(ers)-342(of)-342(t)28(yp)-28(e)-342(sp)-28(eci\014ed)-342(in)-341(T)83(able)]TJ +0 0 1 rg 0 0 1 RG + [-342(13)]TJ 0 g 0 G -/F27 9.9626 Tf -268.739 -25.406 Td [(T)32(yp)-32(e:)]TJ + [(.)-470(The)-342(rank)-342(of)]TJ/F11 9.9626 Tf 274.695 0 Td [(x)]TJ/F8 9.9626 Tf 9.1 0 Td [(m)28(ust)-342(b)-28(e)]TJ -283.795 -11.956 Td [(the)-333(same)-334(of)]TJ/F11 9.9626 Tf 53.467 0 Td [(y)]TJ/F8 9.9626 Tf 5.242 0 Td [(.)]TJ 0 g 0 G -/F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ +/F27 9.9626 Tf -83.615 -20.649 Td [(b)-32(eta)]TJ 0 g 0 G -/F27 9.9626 Tf -33.797 -19.214 Td [(On)-383(En)32(try)]TJ +/F8 9.9626 Tf 26.94 0 Td [(the)-333(scalar)]TJ/F11 9.9626 Tf 45.469 0 Td [(\014)]TJ/F8 9.9626 Tf 6.161 0 Td [(.)]TJ -53.663 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(global)]TJ/F8 9.9626 Tf -32.378 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-444(a)-334(n)28(um)28(b)-28(er)-333(of)-334(the)-333(data)-333(t)28(yp)-28(e)-334(in)1(dicate)-1(d)-333(in)-333(T)83(able)]TJ +0 0 1 rg 0 0 1 RG + [-333(13)]TJ 0 g 0 G + [(.)]TJ 0 g 0 G - 0 -19.214 Td [(x)]TJ +/F27 9.9626 Tf -24.907 -20.65 Td [(y)]TJ 0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(global)-333(dense)-334(matrix)]TJ/F11 9.9626 Tf 88.917 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ -80.732 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-255(as:)-405(a)-255(rank)-254(one)-255(or)-255(t)28(w)27(o)-254(arra)27(y)-254(or)-255(an)-255(ob)-55(jec)-1(t)-254(of)-255(t)28(yp)-28(e)]TJ +/F8 9.9626 Tf 11.028 0 Td [(the)-333(lo)-28(cal)-333(p)-28(ortion)-333(of)-334(global)-333(dense)-333(matrix)]TJ/F11 9.9626 Tf 176.118 0 Td [(y)]TJ/F8 9.9626 Tf 5.242 0 Td [(.)]TJ -167.481 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.378 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(inout)]TJ/F8 9.9626 Tf 26.097 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-255(as:)-405(a)-255(rank)-254(one)-255(or)-255(t)28(w)28(o)-255(arra)28(y)-255(or)-255(an)-255(ob)-55(ject)-255(of)-255(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 244.743 0 Td [(psb)]TJ +/F30 9.9626 Tf 244.742 0 Td [(psb)]TJ ET q -1 0 0 1 385.864 347.39 cm +1 0 0 1 436.673 429.186 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 389.002 347.191 Td [(T)]TJ +/F30 9.9626 Tf 439.811 428.986 Td [(T)]TJ ET q -1 0 0 1 394.86 347.39 cm +1 0 0 1 445.669 429.186 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 397.998 347.191 Td [(vect)]TJ +/F30 9.9626 Tf 448.807 428.986 Td [(vect)]TJ ET q -1 0 0 1 419.547 347.39 cm +1 0 0 1 470.356 429.186 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 422.685 347.191 Td [(type)]TJ +/F30 9.9626 Tf 473.495 428.986 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf -297.883 -11.955 Td [(con)28(taining)-333(n)27(um)28(b)-28(ers)-333(of)-333(t)28(yp)-28(e)-334(sp)-27(eci\014ed)-334(in)-333(T)83(able)]TJ +/F8 9.9626 Tf -297.884 -11.955 Td [(con)28(taining)-345(n)28(um)28(b)-28(ers)-345(of)-345(t)28(yp)-28(e)-345(sp)-28(eci\014ed)-345(in)-345(T)84(able)]TJ 0 0 1 rg 0 0 1 RG - [-333(15)]TJ + [-345(13)]TJ 0 g 0 G - [(.)]TJ + [(.)-479(The)-345(rank)-345(of)]TJ/F11 9.9626 Tf 275.087 0 Td [(y)]TJ/F8 9.9626 Tf 8.678 0 Td [(m)28(ust)-345(b)-28(e)]TJ -283.765 -11.955 Td [(the)-333(same)-334(of)]TJ/F11 9.9626 Tf 53.467 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -24.907 -19.214 Td [(desc)]TJ +/F27 9.9626 Tf -84.067 -20.65 Td [(desc)]TJ ET q -1 0 0 1 121.81 316.221 cm +1 0 0 1 172.619 384.625 cm []0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F27 9.9626 Tf 125.247 316.022 Td [(a)]TJ +/F27 9.9626 Tf 176.057 384.426 Td [(a)]TJ 0 g 0 G -/F8 9.9626 Tf 10.551 0 Td [(con)28(tains)-334(d)1(ata)-334(structures)-333(for)-333(com)-1(m)28(unications.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ +/F8 9.9626 Tf 10.55 0 Td [(con)28(tains)-334(data)-333(structures)-333(for)-333(c)-1(omm)28(unications.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(ob)-55(ject)-334(of)-333(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ +/F30 9.9626 Tf 135.659 0 Td [(psb)]TJ ET q -1 0 0 1 312.036 268.401 cm +1 0 0 1 327.588 336.805 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 315.174 268.201 Td [(desc)]TJ +/F30 9.9626 Tf 330.727 336.605 Td [(desc)]TJ ET q -1 0 0 1 336.723 268.401 cm +1 0 0 1 352.275 336.805 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 339.861 268.201 Td [(type)]TJ +/F30 9.9626 Tf 355.414 336.605 Td [(type)]TJ 0 g 0 G /F8 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -260.887 -19.214 Td [(up)-32(date)]TJ +/F27 9.9626 Tf -225.63 -20.649 Td [(trans)]TJ 0 g 0 G -/F8 9.9626 Tf 39.671 0 Td [(Up)-28(date)-333(op)-28(erator.)]TJ +/F8 9.9626 Tf 30.609 0 Td [(sp)-28(ecify)-333(with)]TJ/F17 9.9626 Tf 55.68 0 Td [(unitd)]TJ/F8 9.9626 Tf 25.725 0 Td [(the)-333(op)-28(eration)-333(to)-334(p)-27(e)-1(r)1(form.)]TJ 0 g 0 G -/F27 9.9626 Tf -14.764 -31.169 Td [(up)-32(date)-383(=)-384(psb)]TJ -ET -q -1 0 0 1 193.977 218.017 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S -Q -BT -/F27 9.9626 Tf 197.414 217.818 Td [(none)]TJ -ET -q -1 0 0 1 221.811 218.017 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S -Q +/F27 9.9626 Tf -87.108 -20.65 Td [(trans)-383(=)-384('N')]TJ +0 g 0 G +/F8 9.9626 Tf 62.489 0 Td [(the)-333(op)-28(eration)-333(is)-334(with)-333(no)-333(transp)-28(osed)-333(matrix)]TJ +0 g 0 G +/F27 9.9626 Tf -62.489 -16.303 Td [(trans)-383(=)-384('T')]TJ +0 g 0 G +/F8 9.9626 Tf 61.493 0 Td [(the)-333(op)-28(eration)-333(is)-334(with)-333(transp)-28(osed)-333(matrix.)]TJ +0 g 0 G +/F27 9.9626 Tf -61.493 -16.302 Td [(trans)-383(=)-384('C')]TJ +0 g 0 G +/F8 9.9626 Tf 61.798 0 Td [(the)-333(op)-28(eration)-333(is)-334(with)-333(conjugate)-333(transp)-28(osed)-333(matrix.)]TJ -61.798 -20.65 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(optional)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.956 Td [(Default:)]TJ/F11 9.9626 Tf 39.436 0 Td [(tr)-28(ans)]TJ/F8 9.9626 Tf 27.052 0 Td [(=)]TJ/F11 9.9626 Tf 10.517 0 Td [(N)]TJ/F8 9.9626 Tf -77.005 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(c)28(haracter)-334(v)56(ariable.)]TJ +0 g 0 G +/F27 9.9626 Tf -24.906 -20.65 Td [(unitd)]TJ +0 g 0 G +/F8 9.9626 Tf 31.714 0 Td [(sp)-28(ecify)-333(with)]TJ/F17 9.9626 Tf 55.68 0 Td [(tr)51(ans)]TJ/F8 9.9626 Tf 25.089 0 Td [(the)-333(op)-28(eration)-333(to)-334(p)-27(erform.)]TJ +0 g 0 G +/F27 9.9626 Tf -87.577 -20.649 Td [(unitd)-383(=)-384('U')]TJ +0 g 0 G +/F8 9.9626 Tf 63.443 0 Td [(the)-333(op)-28(eration)-333(is)-334(with)-333(no)-333(scaling)]TJ +0 g 0 G +/F27 9.9626 Tf -63.443 -16.303 Td [(unitd)-383(=)-384('L')]TJ +0 g 0 G +/F8 9.9626 Tf 61.519 0 Td [(the)-333(op)-28(eration)-333(is)-334(with)-333(left)-333(scaling)]TJ +0 g 0 G +/F27 9.9626 Tf -61.519 -16.302 Td [(unitd)-383(=)-384('R')]TJ +0 g 0 G +/F8 9.9626 Tf 63.221 0 Td [(the)-333(op)-28(eration)-333(is)-334(with)-333(righ)28(t)-333(s)-1(caling.)]TJ +0 g 0 G + 78.747 -29.888 Td [(50)]TJ +0 g 0 G +ET + +endstream +endobj +1173 0 obj +<< +/Length 4663 +>> +stream +0 g 0 G +0 g 0 G +BT +/F8 9.9626 Tf 124.802 706.129 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.956 Td [(Default:)]TJ/F11 9.9626 Tf 39.436 0 Td [(unitd)]TJ/F8 9.9626 Tf 26.665 0 Td [(=)]TJ/F11 9.9626 Tf 10.516 0 Td [(U)]TJ/F8 9.9626 Tf -76.617 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(c)28(haracter)-333(v)55(ariable.)]TJ +0 g 0 G +/F27 9.9626 Tf -24.907 -19.925 Td [(c)32(hoice)]TJ +0 g 0 G +/F8 9.9626 Tf 35.375 0 Td [(sp)-28(eci\014es)-333(the)-334(u)1(p)-28(date)-334(of)-333(o)28(v)28(erlap)-334(elemen)28(ts)-333(to)-334(b)-27(e)-334(p)-27(erformed)-334(on)-333(exit:)]TJ +0 g 0 G +0 g 0 G +/F30 9.9626 Tf -5.487 -19.925 Td [(psb_none_)]TJ +0 g 0 G +0 g 0 G + 0 -15.941 Td [(psb_sum_)]TJ +0 g 0 G +0 g 0 G + 0 -15.94 Td [(psb_avg_)]TJ +0 g 0 G +0 g 0 G + 0 -15.94 Td [(psb_square_root_)]TJ/F8 9.9626 Tf -4.981 -19.925 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf -29.611 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Default:)]TJ/F30 9.9626 Tf 39.436 0 Td [(psb_avg_)]TJ/F8 9.9626 Tf -39.436 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(v)55(ariable.)]TJ +0 g 0 G +/F27 9.9626 Tf -24.907 -19.925 Td [(diag)]TJ +0 g 0 G +/F8 9.9626 Tf 25.827 0 Td [(the)-333(diagonal)-334(scaling)-333(matrix.)]TJ -0.92 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Default:)]TJ/F11 9.9626 Tf 39.436 0 Td [(diag)]TJ/F8 9.9626 Tf 18.993 0 Td [(\0501\051)-278(=)-277(1\050)]TJ/F11 9.9626 Tf 34.869 0 Td [(noscal)-20(ing)]TJ/F8 9.9626 Tf 42.747 0 Td [(\051)]TJ -136.045 -11.955 Td [(Sp)-28(eci\014ed)-382(as:)-543(a)-382(rank)-382(one)-383(arra)28(y)-382(con)27(taining)-382(n)28(um)28(b)-28(ers)-383(of)-382(the)-382(t)27(yp)-27(e)-383(indicated)]TJ 0 -11.955 Td [(in)-333(T)83(able)]TJ +0 0 1 rg 0 0 1 RG + [-333(13)]TJ +0 g 0 G + [(.)]TJ +0 g 0 G +/F27 9.9626 Tf -24.907 -19.926 Td [(w)32(ork)]TJ +0 g 0 G +/F8 9.9626 Tf 29.432 0 Td [(a)-333(w)27(ork)-333(arra)28(y)83(.)]TJ -4.525 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-377(as:)-531(a)-377(rank)-376(one)-377(arra)28(y)-377(of)-377(the)-377(same)-377(t)28(yp)-28(e)-377(of)]TJ/F11 9.9626 Tf 225.953 0 Td [(x)]TJ/F8 9.9626 Tf 9.448 0 Td [(with)-377(the)-377(T)84(AR)28(GET)]TJ -235.401 -11.955 Td [(attribute.)]TJ +0 g 0 G +/F27 9.9626 Tf -24.907 -19.926 Td [(On)-383(Return)]TJ +0 g 0 G +0 g 0 G + 0 -19.925 Td [(y)]TJ +0 g 0 G +/F8 9.9626 Tf 11.028 0 Td [(the)-333(lo)-28(cal)-333(p)-28(ortion)-333(of)-334(global)-333(dense)-333(matrix)]TJ/F11 9.9626 Tf 176.118 0 Td [(y)]TJ/F8 9.9626 Tf 5.242 0 Td [(.)]TJ -167.481 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-474(as:)-727(an)-475(arra)28(y)-474(of)-475(rank)-475(on)1(e)-475(or)-475(t)28(w)28(o)-475(con)28(taining)-474(n)27(u)1(m)27(b)-27(e)-1(r)1(s)-475(of)-475(t)28(yp)-28(e)]TJ 0 -11.955 Td [(sp)-28(eci\014ed)-333(in)-333(T)83(able)]TJ +0 0 1 rg 0 0 1 RG + [-333(13)]TJ +0 g 0 G + [(.)]TJ +0 g 0 G +/F27 9.9626 Tf -24.907 -19.925 Td [(info)]TJ +0 g 0 G +/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.149 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detecte)-1(d)1(.)]TJ +0 g 0 G + 141.968 -73.723 Td [(51)]TJ +0 g 0 G +ET + +endstream +endobj +1178 0 obj +<< +/Length 651 +>> +stream +0 g 0 G +0 g 0 G +BT +/F16 14.3462 Tf 150.705 706.129 Td [(5)-1125(Comm)31(unication)-375(routines)]TJ/F8 9.9626 Tf 0 -21.821 Td [(The)-283(routines)-283(in)-283(this)-283(c)28(hapter)-283(implemen)28(t)-283(v)55(arious)-283(global)-283(comm)28(unication)-283(op)-28(erators)]TJ 0 -11.955 Td [(on)-344(v)28(ectors)-344(asso)-27(c)-1(iated)-343(with)-344(a)-344(d)1(is)-1(cretization)-343(mesh.)-476(F)84(or)-344(auxiliary)-344(comm)28(unication)]TJ 0 -11.955 Td [(routines)-333(not)-334(tied)-333(to)-333(a)-334(d)1(is)-1(cretization)-333(space)-333(see)]TJ +0 0 1 rg 0 0 1 RG + [-334(6)]TJ +0 g 0 G + [(.)]TJ +0 g 0 G + 166.874 -569.96 Td [(52)]TJ +0 g 0 G +ET + +endstream +endobj +1186 0 obj +<< +/Length 7259 +>> +stream 0 g 0 G -BT -/F8 9.9626 Tf 230.229 217.818 Td [(Do)-333(nothing;)]TJ 0 g 0 G -/F27 9.9626 Tf -105.427 -15.229 Td [(up)-32(date)-383(=)-384(psb)]TJ -ET -q -1 0 0 1 193.977 202.789 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S -Q BT -/F27 9.9626 Tf 197.414 202.589 Td [(add)]TJ +/F16 11.9552 Tf 99.895 706.129 Td [(psb)]TJ ET q -1 0 0 1 216.4 202.789 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +1 0 0 1 120.951 706.328 cm +[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q -0 g 0 G BT -/F8 9.9626 Tf 224.819 202.589 Td [(Sum)-333(o)27(v)28(erlap)-333(en)28(tries,)-334(i.e.)-444(apply)]TJ/F11 9.9626 Tf 136.544 0 Td [(P)]TJ/F10 6.9738 Tf 7.78 3.616 Td [(T)]TJ/F8 9.9626 Tf 6.276 -3.616 Td [(;)]TJ +/F16 11.9552 Tf 124.986 706.129 Td [(halo)-375(|)-375(Halo)-375(Data)-375(Comm)31(unication)]TJ/F8 9.9626 Tf -25.091 -18.389 Td [(These)-333(s)-1(u)1(broutines)-334(gathers)-333(the)-333(v)55(alues)-333(of)-334(th)1(e)-334(halo)-333(elemen)28(ts:)]TJ/F11 9.9626 Tf 158.413 -23.188 Td [(x)]TJ/F14 9.9626 Tf 8.462 0 Td [(\040)]TJ/F11 9.9626 Tf 12.73 0 Td [(x)]TJ/F8 9.9626 Tf -179.605 -21.251 Td [(where:)]TJ +0 g 0 G +/F11 9.9626 Tf 0 -19.391 Td [(x)]TJ +0 g 0 G +/F8 9.9626 Tf 10.676 0 Td [(is)-333(a)-334(global)-333(dense)-333(submatrix.)]TJ +0 g 0 G +0 g 0 G 0 g 0 G -/F27 9.9626 Tf -250.617 -15.229 Td [(up)-32(date)-383(=)-384(psb)]TJ ET q -1 0 0 1 193.977 187.56 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +1 0 0 1 177.988 602.649 cm +[]0 d 0 J 0.398 w 0 0 m 187.526 0 l S Q BT -/F27 9.9626 Tf 197.414 187.36 Td [(a)32(vg)]TJ +/F11 9.9626 Tf 183.966 594.081 Td [(\013)]TJ/F8 9.9626 Tf 6.41 0 Td [(,)]TJ/F11 9.9626 Tf 6.088 0 Td [(x)]TJ/F27 9.9626 Tf 107.911 0 Td [(Subroutine)]TJ ET q -1 0 0 1 215.127 187.56 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +1 0 0 1 177.988 590.295 cm +[]0 d 0 J 0.398 w 0 0 m 187.526 0 l S Q -0 g 0 G BT -/F8 9.9626 Tf 223.546 187.36 Td [(Av)28(erage)-334(o)28(v)28(erlap)-333(en)27(tri)1(e)-1(s,)-333(i.e.)-444(apply)]TJ/F11 9.9626 Tf 152.345 0 Td [(P)]TJ/F10 6.9738 Tf 6.397 -1.494 Td [(a)]TJ/F11 9.9626 Tf 4.819 1.494 Td [(P)]TJ/F10 6.9738 Tf 7.78 3.616 Td [(T)]TJ/F8 9.9626 Tf 6.276 -3.616 Td [(;)]TJ -276.361 -19.214 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Default:)]TJ/F11 9.9626 Tf 39.436 0 Td [(update)]TJ +/F8 9.9626 Tf 183.966 581.727 Td [(In)28(teger)-9028(psb)]TJ ET q -1 0 0 1 194.239 144.435 cm +1 0 0 1 319.972 581.926 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F11 9.9626 Tf 197.228 144.236 Td [(ty)-36(pe)]TJ/F8 9.9626 Tf 21.258 0 Td [(=)]TJ/F11 9.9626 Tf 10.516 0 Td [(psb)]TJ +/F8 9.9626 Tf 322.961 581.727 Td [(halo)]TJ -138.995 -11.955 Td [(Short)-333(Precision)-333(R)-1(eal)-3102(psb)]TJ ET q -1 0 0 1 243.558 144.435 cm +1 0 0 1 319.972 569.971 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F11 9.9626 Tf 246.547 144.236 Td [(av)-36(g)]TJ +/F8 9.9626 Tf 322.961 569.772 Td [(halo)]TJ -138.995 -11.955 Td [(Long)-333(Precision)-334(Real)-3314(p)1(s)-1(b)]TJ ET q -1 0 0 1 262.706 144.435 cm +1 0 0 1 319.972 558.016 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 124.802 132.281 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(in)28(teger)-333(v)55(ariable.)]TJ -0 g 0 G - 141.968 -29.888 Td [(53)]TJ -0 g 0 G +/F8 9.9626 Tf 322.961 557.817 Td [(halo)]TJ -138.995 -11.955 Td [(Short)-333(Precision)-333(C)-1(omplex)-1200(p)1(s)-1(b)]TJ ET - -endstream -endobj -1188 0 obj -<< -/Length 5872 ->> -stream +q +1 0 0 1 319.972 546.061 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F8 9.9626 Tf 322.961 545.862 Td [(halo)]TJ -138.995 -11.956 Td [(Long)-333(Precision)-334(Complex)-1411(psb)]TJ +ET +q +1 0 0 1 319.972 534.106 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F8 9.9626 Tf 322.961 533.906 Td [(halo)]TJ +ET +q +1 0 0 1 177.988 530.121 cm +[]0 d 0 J 0.398 w 0 0 m 187.526 0 l S +Q 0 g 0 G +BT +/F8 9.9626 Tf 225.577 502.081 Td [(T)83(able)-333(14:)-444(Data)-334(t)28(yp)-28(es)]TJ 0 g 0 G 0 g 0 G +/F27 9.9626 Tf -124.305 -29.354 Td [(c)-138(a)-138(l)-139(l)]TJ/F8 9.9626 Tf 29.731 0 Td [(p)-122(s)-123(b)]TJ +ET +q +1 0 0 1 150.256 472.926 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F8 9.9626 Tf 154.464 472.727 Td [(h)-122(a)-123(l)-122(o)-228(\050)-130(x)-209(,)-874(d)-112(e)-113(s)-113(c)]TJ +ET +q +1 0 0 1 226.044 472.926 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F8 9.9626 Tf 230.155 472.727 Td [(a)-386(,)-914(i)-152(n)-152(f)-152(o)-258(\051)]TJ/F27 9.9626 Tf -128.883 -11.955 Td [(c)-138(a)-138(l)-139(l)]TJ/F8 9.9626 Tf 29.731 0 Td [(p)-122(s)-123(b)]TJ +ET +q +1 0 0 1 150.256 460.971 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F8 9.9626 Tf 154.464 460.772 Td [(h)-122(a)-123(l)-122(o)-228(\050)-130(x)-209(,)-874(d)-112(e)-113(s)-113(c)]TJ +ET +q +1 0 0 1 226.044 460.971 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q BT -/F27 9.9626 Tf 150.705 706.129 Td [(w)32(ork)]TJ +/F8 9.9626 Tf 230.155 460.772 Td [(a)-386(,)-888(i)-127(n)-127(f)-127(o)-415(,)-804(w)-43(o)-43(r)-43(k)-247(,)]TJ/F27 9.9626 Tf 91.304 0 Td [(d)-39(a)-39(t)-40(a)]TJ/F8 9.9626 Tf 24.571 0 Td [(\051)]TJ 0 g 0 G -/F8 9.9626 Tf 29.431 0 Td [(the)-333(w)27(ork)-333(arra)28(y)83(.)]TJ -4.525 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(optional)]TJ/F8 9.9626 Tf -29.612 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(one)-333(dimensional)-334(arr)1(a)27(y)-333(of)-333(the)-334(same)-333(t)28(yp)-28(e)-333(of)]TJ/F11 9.9626 Tf 252.609 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -283.209 -19.925 Td [(On)-383(Return)]TJ 0 g 0 G +/F27 9.9626 Tf -246.135 -26.961 Td [(T)32(yp)-32(e:)]TJ 0 g 0 G - 0 -19.925 Td [(x)]TJ +/F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ 0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(global)-333(dense)-334(result)-333(matrix)]TJ/F11 9.9626 Tf 116.674 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ -108.49 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-474(as:)-727(an)-475(arra)28(y)-475(of)-474(rank)-475(one)-474(or)-475(t)28(w)28(o)-475(con)28(taining)-474(n)27(um)28(b)-28(ers)-474(of)-475(t)28(yp)-28(e)]TJ 0 -11.955 Td [(sp)-28(eci\014ed)-333(in)-333(T)83(able)]TJ -0 0 1 rg 0 0 1 RG - [-333(15)]TJ +/F27 9.9626 Tf -33.797 -19.659 Td [(On)-383(En)32(try)]TJ 0 g 0 G - [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -24.906 -19.926 Td [(info)]TJ + 0 -19.658 Td [(x)]TJ +0 g 0 G +/F8 9.9626 Tf 11.028 0 Td [(global)-333(dense)-334(matrix)]TJ/F11 9.9626 Tf 88.917 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ -80.732 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-255(as:)-405(a)-255(rank)-254(one)-255(or)-255(t)28(w)27(o)-254(arra)27(y)-254(or)-255(an)-255(ob)-55(jec)-1(t)-254(of)-255(t)28(yp)-28(e)]TJ +0 0 1 rg 0 0 1 RG +/F30 9.9626 Tf 244.743 0 Td [(psb)]TJ +ET +q +1 0 0 1 385.864 346.872 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 389.002 346.673 Td [(T)]TJ +ET +q +1 0 0 1 394.86 346.872 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 397.998 346.673 Td [(vect)]TJ +ET +q +1 0 0 1 419.547 346.872 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 422.685 346.673 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.148 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)28(te)-1(ger)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detec)-1(t)1(e)-1(d.)]TJ/F16 11.9552 Tf -24.906 -21.918 Td [(Notes)]TJ +/F8 9.9626 Tf -297.883 -11.955 Td [(con)28(taining)-333(n)27(um)28(b)-28(ers)-333(of)-333(t)28(yp)-28(e)-334(sp)-27(eci\014ed)-334(in)-333(T)83(able)]TJ +0 0 1 rg 0 0 1 RG + [-333(14)]TJ 0 g 0 G -/F8 9.9626 Tf 12.176 -19.925 Td [(1.)]TJ + [(.)]TJ 0 g 0 G - [-500(If)-316(there)-316(is)-317(no)-316(o)28(v)28(erlap)-316(in)-317(t)1(he)-317(data)-316(distribution)-316(asso)-28(ciated)-316(with)-316(the)-316(descrip-)]TJ 12.73 -11.955 Td [(tor,)-333(no)-334(op)-27(erations)-334(are)-333(p)-28(erformed;)]TJ +/F27 9.9626 Tf -24.907 -19.658 Td [(desc)]TJ +ET +q +1 0 0 1 121.81 315.259 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +Q +BT +/F27 9.9626 Tf 125.247 315.06 Td [(a)]TJ 0 g 0 G - -12.73 -19.926 Td [(2.)]TJ +/F8 9.9626 Tf 10.551 0 Td [(con)28(tains)-334(d)1(ata)-334(structures)-333(for)-333(com)-1(m)28(unications.)]TJ -10.996 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ +0 0 1 rg 0 0 1 RG +/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ +ET +q +1 0 0 1 312.036 267.438 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 315.174 267.239 Td [(desc)]TJ +ET +q +1 0 0 1 336.723 267.438 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 339.861 267.239 Td [(type)]TJ 0 g 0 G - [-500(The)-351(op)-27(e)-1(r)1(ator)]TJ/F11 9.9626 Tf 73.738 0 Td [(P)]TJ/F10 6.9738 Tf 7.779 3.616 Td [(T)]TJ/F8 9.9626 Tf 9.77 -3.616 Td [(p)-28(erforms)-350(the)-351(reduction)-351(sum)-350(of)-351(o)28(v)27(erlap)-350(elemen)27(ts;)-359(it)-351(is)-350(a)]TJ -78.557 -11.955 Td [(\134prolongation")-365(op)-28(erator)]TJ/F11 9.9626 Tf 108.923 0 Td [(P)]TJ/F10 6.9738 Tf 7.78 3.615 Td [(T)]TJ/F8 9.9626 Tf 9.914 -3.615 Td [(that)-365(replicates)-365(o)27(v)28(erlap)-365(elemen)28(ts,)-373(accoun)27(ting)]TJ -126.617 -11.955 Td [(for)-333(the)-334(ph)28(ysical)-333(replication)-333(of)-334(data;)]TJ +/F8 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G - -12.73 -19.925 Td [(3.)]TJ +/F27 9.9626 Tf -260.887 -19.658 Td [(w)32(ork)]TJ 0 g 0 G - [-500(The)-256(op)-27(erator)]TJ/F11 9.9626 Tf 71.841 0 Td [(P)]TJ/F10 6.9738 Tf 6.396 -1.495 Td [(a)]TJ/F8 9.9626 Tf 7.365 1.495 Td [(p)-28(erforms)-255(a)-256(scaling)-255(on)-256(the)-255(o)28(v)27(erlap)-255(elemen)28(ts)-256(b)28(y)-256(th)1(e)-256(amoun)28(t)]TJ -72.872 -11.956 Td [(of)-290(repli)1(c)-1(ation)1(;)-305(th)28(us,)-298(when)-290(com)28(bined)-289(with)-290(the)-289(re)-1(d)1(uction)-290(op)-28(erator,)-298(it)-290(impl)1(e)-1(-)]TJ 0 -11.955 Td [(men)28(ts)-334(the)-333(a)28(v)28(erage)-334(of)-333(replicated)-333(ele)-1(men)28(ts)-333(o)28(v)27(er)-333(all)-333(of)-334(t)1(he)-1(i)1(r)-334(instances.)]TJ/F16 11.9552 Tf -24.906 -19.925 Td [(Example)-388(of)-387(us)-1(e)]TJ/F8 9.9626 Tf 93.468 0 Td [(Consider)-345(the)-344(discretization)-345(mesh)-345(d)1(e)-1(p)1(ic)-1(ted)-344(in)-345(\014g.)]TJ -0 0 1 rg 0 0 1 RG - [-344(8)]TJ +/F8 9.9626 Tf 29.432 0 Td [(the)-333(w)27(ork)-333(arra)28(y)83(.)]TJ -4.525 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(rank)-333(one)-333(arra)27(y)-333(of)-333(the)-334(same)-333(t)28(yp)-28(e)-333(of)]TJ/F11 9.9626 Tf 220.756 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ 0 g 0 G - [(,)-348(parti-)]TJ -93.468 -11.955 Td [(tioned)-330(among)-330(t)28(w)27(o)-330(pro)-27(ce)-1(sses)-330(as)-330(sho)28(wn)-330(b)28(y)-331(th)1(e)-331(dashed)-330(lines,)-330(w)-1(i)1(th)-331(an)-330(o)28(v)28(erlap)-330(of)-330(1)]TJ 0 -11.955 Td [(extra)-360(la)28(y)28(er)-360(with)-359(resp)-28(ect)-360(to)-359(the)-360(partition)-359(of)-360(\014g.)]TJ -0 0 1 rg 0 0 1 RG - [-359(7)]TJ +/F27 9.9626 Tf -251.357 -19.659 Td [(data)]TJ 0 g 0 G - 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411.847 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F27 9.9626 Tf 171.849 637.083 Td [(index)]TJ -0 g 0 G -/F8 9.9626 Tf 32.191 0 Td [(The)-333(global)-334(index)-333(to)-333(b)-28(e)-333(mapp)-28(ed;)]TJ -0 g 0 G -/F27 9.9626 Tf -57.32 -13.774 Td [(np)]TJ -0 g 0 G -/F8 9.9626 Tf 17.711 0 Td [(The)-333(n)27(um)28(b)-28(er)-333(of)-333(pro)-28(cesses)-333(in)-334(the)-333(mapping;)]TJ -0 g 0 G -/F27 9.9626 Tf -17.711 -13.774 Td [(mg)]TJ -0 g 0 G -/F8 9.9626 Tf 20.257 0 Td [(The)-333(total)-334(n)28(um)28(b)-28(er)-333(of)-333(global)-334(ro)28(ws)-333(in)-334(the)-333(mapping;)]TJ -20.257 -15.594 Td [(The)-333(output)-334(argu)1(m)-1(en)28(ts)-333(are:)]TJ -0 g 0 G -/F27 9.9626 Tf 0 -15.594 Td [(n)32(v)]TJ -0 g 0 G -/F8 9.9626 Tf 17.075 0 Td [(The)-333(n)27(u)1(m)27(b)-27(e)-1(r)-333(of)-333(en)28(tries)-334(in)]TJ/F30 9.9626 Tf 111.637 0 Td [(pv)]TJ/F8 9.9626 Tf 10.46 0 Td [(;)]TJ +/F8 9.9626 Tf 274.766 411.647 Td [(x)-381(,)-888(l)-127(o)-127(c)]TJ +ET +q +1 0 0 1 312.009 411.847 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F8 9.9626 Tf 316.265 411.647 Td [(x)-415(,)-874(d)-113(e)-112(s)-113(c)]TJ +ET +q +1 0 0 1 360.541 411.847 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F8 9.9626 Tf 364.652 411.647 Td [(a)-386(,)-888(i)-127(n)-127(f)-127(o)-415(,)-885(r)-124(o)-123(o)-124(t)-230(\051)]TJ 0 g 0 G -/F27 9.9626 Tf -139.172 -13.774 Td [(p)32(v)]TJ 0 g 0 G -/F8 9.9626 Tf 17.075 0 Td [(A)-481(v)28(ector)-481(con)28(taining)-481(the)-481(ind)1(ice)-1(s)-480(of)-481(the)-481(pro)-28(cesses)-481(to)-481(whic)28(h)-481(the)]TJ 1.555 -11.955 Td [(global)-468(index)-468(should)-468(b)-28(e)-468(assigend;)-535(e)-1(ac)28(h)-468(en)28(try)-468(m)28(ust)-469(satisfy)-468(0)]TJ/F14 9.9626 Tf 270.508 0 Td [(\024)]TJ/F11 9.9626 Tf -270.508 -11.956 Td [(pv)]TJ/F8 9.9626 Tf 10.199 0 Td [(\050)]TJ/F11 9.9626 Tf 3.874 0 Td [(i)]TJ/F8 9.9626 Tf 3.433 0 Td [(\051)]TJ/F11 9.9626 Tf 8.603 0 Td [(<)-475(np)]TJ/F8 9.9626 Tf 23.47 0 Td [(;)-510(if)]TJ/F11 9.9626 Tf 18.163 0 Td [(nv)-511(>)]TJ/F8 9.9626 Tf 28.373 0 Td [(1)-451(w)27(e)-451(ha)28(v)27(e)-451(an)-452(i)1(ndex)-452(assigned)-451(to)-452(m)28(ultiple)]TJ -96.115 -11.955 Td [(pro)-28(cesses,)-333(i.e.)-445(w)28(e)-333(ha)27(v)28(e)-333(an)-333(o)27(v)28(erlap)-333(among)-333(the)-334(sub)-28(domain)1(s)-1(.)]TJ 0 g 0 G -/F27 9.9626 Tf -40.548 -15.594 Td [(vg)]TJ +/F27 9.9626 Tf -213.947 -26.424 Td [(T)32(yp)-32(e:)]TJ 0 g 0 G -/F8 9.9626 Tf 16.757 0 Td [(In)-398(t)1(his)-398(case)-398(the)-397(asso)-28(ciation)-398(b)-27(e)-1(t)28(w)28(een)-398(an)-397(index)-398(and)-397(a)-398(pro)-27(ces)-1(s)-397(is)-398(sp)-27(e)-1(c-)]TJ 5.161 -11.955 Td [(i\014ed)-456(via)-456(an)-456(in)28(teger)-457(v)28(ector)]TJ/F30 9.9626 Tf 120.742 0 Td [(vg\0501:mg\051)]TJ/F8 9.9626 Tf 41.843 0 Td [(;)-517(e)-1(ac)28(h)-456(index)]TJ/F11 9.9626 Tf 59.63 0 Td [(i)]TJ/F14 9.9626 Tf 8.238 0 Td [(2)-482(f)]TJ/F8 9.9626 Tf 16.429 0 Td [(1)]TJ/F11 9.9626 Tf 6.642 0 Td [(:)-167(:)-166(:)-167(mg)]TJ/F14 9.9626 Tf 27.14 0 Td [(g)]TJ/F8 9.9626 Tf 9.525 0 Td [(is)]TJ -290.189 -11.955 Td [(assigned)-449(to)-449(pro)-28(cess)]TJ/F11 9.9626 Tf 89.776 0 Td [(v)-36(g)]TJ/F8 9.9626 Tf 10.296 0 Td [(\050)]TJ/F11 9.9626 Tf 3.874 0 Td [(i)]TJ/F8 9.9626 Tf 3.433 0 Td [(\051.)-792(The)-449(v)28(ector)]TJ/F30 9.9626 Tf 67.232 0 Td [(vg)]TJ/F8 9.9626 Tf 14.935 0 Td [(m)28(ust)-449(b)-28(e)-449(iden)28(tical)-450(on)-449(all)]TJ -189.546 -11.955 Td [(calling)-452(pro)-28(cesses;)-513(i)1(ts)-453(en)28(tries)-453(ma)28(y)-453(ha)28(v)28(e)-453(t)1(he)-453(ranges)-453(\0500)]TJ/F11 9.9626 Tf 236.604 0 Td [(:)-167(:)-166(:)-167(np)]TJ/F14 9.9626 Tf 27.281 0 Td [(\000)]TJ/F8 9.9626 Tf 10.754 0 Td [(1\051)-453(or)]TJ -274.639 -11.955 Td [(\0501)]TJ/F11 9.9626 Tf 10.516 0 Td [(:)-167(:)-166(:)-167(np)]TJ/F8 9.9626 Tf 24.276 0 Td [(\051)-347(according)-347(to)-347(the)-347(v)55(alu)1(e)-348(of)]TJ/F30 9.9626 Tf 119.292 0 Td [(flag)]TJ/F8 9.9626 Tf 20.921 0 Td [(.)-486(The)-347(size)]TJ/F11 9.9626 Tf 47.231 0 Td [(mg)]TJ/F8 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9.9626 Tf 172.548 0 Td [(nz)]TJ/F8 9.9626 Tf 11.051 0 Td [(.)]TJ -0 g 0 G -/F27 9.9626 Tf -208.506 -19.344 Td [(mask)]TJ -0 g 0 G -/F8 9.9626 Tf 30.664 0 Td [(Mask)-330(en)28(tries)-329(in)]TJ/F30 9.9626 Tf 70.038 0 Td [(ja)]TJ/F8 9.9626 Tf 10.461 0 Td [(,)-330(they)-330(are)-329(inserted)-330(only)-329(when)-329(the)-330(corresp)-28(onding)]TJ/F30 9.9626 Tf 211.627 0 Td [(mask)]TJ/F8 9.9626 Tf -297.883 -11.955 Td [(en)28(tries)-334(are)]TJ/F30 9.9626 Tf 48.54 0 Td [(.true.)]TJ/F8 9.9626 Tf -48.54 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -55.452 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -70.188 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(logical)-333(arra)28(y)-334(of)-333(length)]TJ/F11 9.9626 Tf 165.048 0 Td [(nz)]TJ/F8 9.9626 Tf 11.051 0 Td 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[(The)-291(pro)-28(cess)-291(that)-291(holds)-291(the)-291(global)-291(cop)28(y)83(.)-430(If)]TJ/F11 9.9626 Tf 182.523 0 Td [(r)-28(oot)]TJ/F8 9.9626 Tf 20.794 0 Td [(=)]TJ/F14 9.9626 Tf 10.516 0 Td [(\000)]TJ/F8 9.9626 Tf 7.749 0 Td [(1)-291(all)-291(the)-291(pro)-28(cesses)-291(will)]TJ -222.606 -11.955 Td [(ha)28(v)28(e)-334(a)-333(cop)28(y)-334(of)-333(the)-333(global)-334(v)28(ector.)]TJ 0 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(optional)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(v)55(ariable)]TJ/F14 9.9626 Tf 142.079 0 Td [(\000)]TJ/F8 9.9626 Tf 7.749 0 Td [(1)]TJ/F14 9.9626 Tf 7.748 0 Td [(\024)]TJ/F11 9.9626 Tf 10.516 0 Td [(r)-28(oot)]TJ/F14 9.9626 Tf 20.795 0 Td [(\024)]TJ/F11 9.9626 Tf 10.516 0 Td [(np)]TJ/F14 9.9626 Tf 13.206 0 Td [(\000)]TJ/F8 9.9626 Tf 9.963 0 Td [(1,)-333(default)]TJ/F14 9.9626 Tf 44.555 0 Td [(\000)]TJ/F8 9.9626 Tf 7.749 0 Td [(1.)]TJ +0 g 0 G +/F27 9.9626 Tf -299.782 -19.505 Td [(On)-383(Return)]TJ 0 g 0 G - -94.012 -29.888 Td [(65)]TJ +0 g 0 G +/F8 9.9626 Tf 166.874 -29.888 Td [(60)]TJ 0 g 0 G ET endstream endobj -1276 0 obj +1266 0 obj << -/Length 3163 +/Length 1455 >> stream 0 g 0 G 0 g 0 G 0 g 0 G BT -/F27 9.9626 Tf 150.705 706.129 Td [(info)]TJ -0 g 0 G -/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.148 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)27(t)1(e)-1(ger)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detec)-1(ted.)]TJ -0 g 0 G -/F27 9.9626 Tf -24.906 -19.925 Td [(ila)]TJ -0 g 0 G -/F8 9.9626 Tf 16.915 0 Td [(the)-333(lo)-28(cal)-333(indices)-334(of)-333(the)-333(s)-1(tar)1(ting)-334(v)28(ertex)-333(of)-334(the)-333(edges)-333(b)-28(eing)-333(inserted.)]TJ 7.991 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -55.452 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(optional)]TJ/F8 9.9626 Tf 40.576 0 Td [(.)]TJ -70.188 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(arra)27(y)-333(of)-333(length)]TJ/F11 9.9626 Tf 172.548 0 Td [(nz)]TJ/F8 9.9626 Tf 11.051 0 Td [(.)]TJ -0 g 0 G -/F27 9.9626 Tf -208.505 -19.925 Td [(jla)]TJ -0 g 0 G -/F8 9.9626 Tf 17.234 0 Td [(the)-333(lo)-28(cal)-333(indices)-334(of)-333(the)-333(end)-334(v)28(ertex)-333(of)-334(the)-333(edges)-333(b)-28(eing)-333(inserted.)]TJ 7.672 -11.955 Td 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[(pro)-28(cess,)-285(i.)1(e)-1(.)-424(edges)-272(for)-273(whic)28(h)-272(neither)-273(the)-272(starting)-272(nor)-273(the)-272(end)-273(v)28(ertex)-272(b)-28(elong)]TJ 0 -11.955 Td [(to)-333(the)-334(curren)28(t)-333(pro)-28(cess.)]TJ +/F27 9.9626 Tf 99.895 706.129 Td [(glob)]TJ +ET +q +1 0 0 1 121.587 706.328 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +Q +BT +/F27 9.9626 Tf 125.024 706.129 Td [(x)]TJ 0 g 0 G - -12.73 -19.926 Td [(3.)]TJ +/F8 9.9626 Tf 11.028 0 Td [(The)-333(arra)27(y)-333(where)-333(the)-334(lo)-27(cal)-334(parts)-333(m)28(ust)-334(b)-27(e)-334(gathered.)]TJ -11.25 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(rank)-333(one)-333(or)-334(t)28(w)28(o)-334(arra)28(y)-333(with)-333(the)]TJ/F30 9.9626 Tf 204.4 0 Td [(ALLOCATABLE)]TJ/F8 9.9626 Tf 60.855 0 Td [(attribute.)]TJ 0 g 0 G - [-500(The)-437(second)-438(form)-437(of)-437(this)-437(routine)-438(wil)1(l)-438(b)-27(e)-438(useful)-437(when)-437(dealing)-437(with)-438(user-)]TJ 12.73 -11.955 Td [(sp)-28(eci\014ed)-333(index)-333(mappings;)-334(see)-333(also)]TJ -0 0 1 rg 0 0 1 RG - [-334(2.3.1)]TJ +/F27 9.9626 Tf -290.162 -19.925 Td [(info)]TJ 0 g 0 G - [(.)]TJ +/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.149 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detecte)-1(d)1(.)]TJ 0 g 0 G - 141.968 -314.819 Td [(66)]TJ + 141.968 -500.124 Td [(61)]TJ 0 g 0 G ET endstream endobj -1285 0 obj +1273 0 obj << -/Length 4740 +/Length 7803 >> stream 0 g 0 G 0 g 0 G BT -/F16 11.9552 Tf 99.895 706.129 Td [(psb)]TJ +/F16 11.9552 Tf 150.705 706.129 Td [(psb)]TJ ET q -1 0 0 1 120.951 706.328 cm +1 0 0 1 171.761 706.328 cm []0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q BT -/F16 11.9552 Tf 124.986 706.129 Td [(cdasb)-375(|)-375(Comm)31(unication)-375(descriptor)-375(assem)31(bly)-375(routine)]TJ -0 g 0 G -0 g 0 G -/F30 9.9626 Tf -25.091 -18.389 Td [(call)-525(psb_cdasb\050desc_a,)-525(info)-525([,)-525(mold]\051)]TJ -0 g 0 G -/F27 9.9626 Tf 0 -21.918 Td [(T)32(yp)-32(e:)]TJ -0 g 0 G -/F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ -0 g 0 G -/F27 9.9626 Tf -33.797 -19.926 Td [(On)-383(En)32(try)]TJ -0 g 0 G -0 g 0 G - 0 -19.925 Td [(desc)]TJ +/F16 11.9552 Tf 175.796 706.129 Td [(scatter)-375(|)-375(Scatter)-375(Global)-375(Dense)-375(Matrix)]TJ/F8 9.9626 Tf -25.091 -19.28 Td [(These)-315(subroutines)-315(scatters)-315(the)-315(p)-28(ortions)-315(of)-315(global)-315(dense)-315(matrix)-315(o)28(wned)-315(b)27(y)-315(a)-315(pro-)]TJ 0 -11.955 Td [(cess)-333(to)-334(all)-333(the)-333(pro)-28(cesses)-334(in)-333(the)-333(pro)-28(cesses)-334(grid.)]TJ/F11 9.9626 Tf 119.021 -25.291 Td [(l)-20(oc)]TJ ET q -1 0 0 1 121.81 626.17 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +1 0 0 1 282.633 649.802 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F27 9.9626 Tf 125.247 625.971 Td [(a)]TJ -0 g 0 G -/F8 9.9626 Tf 10.551 0 Td [(the)-333(comm)27(unication)-333(descriptor.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.899 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ -0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ +/F11 9.9626 Tf 285.622 649.603 Td [(x)]TJ/F10 6.9738 Tf 5.694 -1.494 Td [(i)]TJ/F14 9.9626 Tf 6.084 1.494 Td [(\040)]TJ/F11 9.9626 Tf 12.73 0 Td [(scatter)]TJ/F8 9.9626 Tf 30.853 0 Td [(\050)]TJ/F11 9.9626 Tf 3.874 0 Td [(g)-36(l)-20(ob)]TJ ET q -1 0 0 1 312.036 578.35 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +1 0 0 1 362.838 649.802 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F30 9.9626 Tf 315.174 578.15 Td [(desc)]TJ +/F11 9.9626 Tf 365.827 649.603 Td [(x)]TJ/F8 9.9626 Tf 5.693 0 Td [(\051)]TJ -220.815 -22.875 Td [(where:)]TJ +0 g 0 G +/F11 9.9626 Tf 0 -21.361 Td [(g)-36(l)-19(o)-1(b)]TJ ET q -1 0 0 1 336.723 578.35 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +1 0 0 1 168.775 605.567 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F30 9.9626 Tf 339.861 578.15 Td [(type)]TJ +/F11 9.9626 Tf 172.212 605.367 Td [(x)]TJ +0 g 0 G +/F8 9.9626 Tf 10.675 0 Td [(is)-333(the)-334(global)-333(matrix)]TJ/F11 9.9626 Tf 88.917 0 Td [(g)-36(l)-20(ob)]TJ +ET +q +1 0 0 1 289.785 605.567 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F11 9.9626 Tf 292.773 605.367 Td [(x)]TJ/F7 6.9738 Tf 5.694 -1.494 Td [(1:)]TJ/F10 6.9738 Tf 6.227 0 Td [(m;)]TJ/F7 6.9738 Tf 9.436 0 Td [(1:)]TJ/F10 6.9738 Tf 6.226 0 Td [(n)]TJ +0 g 0 G +/F11 9.9626 Tf -169.651 -20.345 Td [(l)-20(oc)]TJ +ET +q +1 0 0 1 163.701 583.727 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +Q +BT +/F11 9.9626 Tf 167.139 583.528 Td [(x)]TJ/F10 6.9738 Tf 5.693 -1.494 Td [(i)]TJ +0 g 0 G +/F8 9.9626 Tf 8.299 1.494 Td [(is)-333(the)-334(lo)-27(cal)-334(p)-28(or)1(tion)-334(of)-333(global)-333(dense)-334(matrix)-333(on)-333(pro)-28(cess)]TJ/F11 9.9626 Tf 234.703 0 Td [(i)]TJ/F8 9.9626 Tf 3.433 0 Td [(.)]TJ +0 g 0 G +/F11 9.9626 Tf -268.562 -21.839 Td [(scatter)]TJ +0 g 0 G +/F8 9.9626 Tf 35.834 0 Td [(is)-333(the)-334(scatter)-333(function.)]TJ 0 g 0 G -/F8 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -260.887 -19.925 Td [(mold)]TJ 0 g 0 G -/F8 9.9626 Tf 29.805 0 Td [(The)-333(desired)-334(dynamic)-333(t)28(yp)-28(e)-333(for)-334(the)-333(in)28(ternal)-333(index)-334(storage.)]TJ -4.898 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -55.452 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -70.188 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-222(as:)-389(a)-222(ob)-56(ject)-222(of)-222(t)28(yp)-28(e)-222(deriv)28(ed)-223(from)-222(\050in)28(teger\051)]TJ/F30 9.9626 Tf 219.87 0 Td [(psb)]TJ ET q -1 0 0 1 360.991 510.604 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +1 0 0 1 228.797 539.65 cm +[]0 d 0 J 0.398 w 0 0 m 187.526 0 l S Q BT -/F30 9.9626 Tf 364.129 510.405 Td [(T)]TJ +/F11 9.9626 Tf 234.775 531.082 Td [(x)]TJ/F10 6.9738 Tf 5.694 -1.494 Td [(i)]TJ/F11 9.9626 Tf 3.317 1.494 Td [(;)-167(y)]TJ/F27 9.9626 Tf 111.399 0 Td [(Subroutine)]TJ ET q -1 0 0 1 369.987 510.604 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +1 0 0 1 228.797 527.296 cm +[]0 d 0 J 0.398 w 0 0 m 187.526 0 l S Q BT -/F30 9.9626 Tf 373.125 510.405 Td [(base)]TJ +/F8 9.9626 Tf 234.775 518.729 Td [(In)28(teger)-9028(psb)]TJ ET q -1 0 0 1 394.674 510.604 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +1 0 0 1 370.782 518.928 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F30 9.9626 Tf 397.813 510.405 Td [(vect)]TJ +/F8 9.9626 Tf 373.771 518.729 Td [(scatter)]TJ -138.996 -11.956 Td [(Short)-333(Precision)-334(Real)-3102(psb)]TJ ET q -1 0 0 1 419.361 510.604 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +1 0 0 1 370.782 506.973 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F8 9.9626 Tf 373.771 506.773 Td [(scatter)]TJ -138.996 -11.955 Td [(Long)-333(Precision)-334(Real)-3314(psb)]TJ +ET +q +1 0 0 1 370.782 495.017 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F30 9.9626 Tf 422.5 510.405 Td [(type)]TJ/F8 9.9626 Tf 20.921 0 Td [(.)]TJ +/F8 9.9626 Tf 373.771 494.818 Td [(scatter)]TJ -138.996 -11.955 Td [(Short)-333(Precision)-334(Complex)-1200(psb)]TJ +ET +q +1 0 0 1 370.782 483.062 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F8 9.9626 Tf 373.771 482.863 Td [(scatter)]TJ -138.996 -11.955 Td [(Long)-333(Precision)-334(Complex)-1411(psb)]TJ +ET +q +1 0 0 1 370.782 471.107 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F8 9.9626 Tf 373.771 470.908 Td [(scatter)]TJ +ET +q +1 0 0 1 228.797 467.122 cm +[]0 d 0 J 0.398 w 0 0 m 187.526 0 l S +Q 0 g 0 G -/F27 9.9626 Tf -343.526 -21.918 Td [(On)-383(Return)]TJ +BT +/F8 9.9626 Tf 276.386 439.083 Td [(T)83(able)-333(17:)-444(Data)-334(t)28(yp)-28(es)]TJ 0 g 0 G 0 g 0 G - 0 -19.926 Td [(desc)]TJ +/F27 9.9626 Tf -124.304 -33.261 Td [(c)-138(a)-138(l)-139(l)]TJ/F8 9.9626 Tf 29.99 0 Td [(p)-148(s)-149(b)]TJ +ET +q +1 0 0 1 202.107 406.021 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F8 9.9626 Tf 206.575 405.822 Td [(s)-149(c)-148(a)-149(t)-148(t)-148(e)-149(r)-254(\050)-215(g)-110(l)-110(o)-110(b)]TJ +ET +q +1 0 0 1 276.66 406.021 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F8 9.9626 Tf 280.744 405.822 Td [(x)-381(,)-888(l)-127(o)-127(c)]TJ +ET +q +1 0 0 1 317.987 406.021 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F8 9.9626 Tf 322.243 405.822 Td [(x)-415(,)-874(d)-113(e)-112(s)-113(c)]TJ ET q -1 0 0 1 121.81 468.761 cm +1 0 0 1 366.519 406.021 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F8 9.9626 Tf 370.63 405.822 Td [(a)-386(,)-888(i)-127(n)-127(f)-127(o)-415(,)-864(r)-103(o)-103(o)-104(t)-367(,)-808(m)-47(o)-46(l)-47(d)-152(\051)]TJ +0 g 0 G +0 g 0 G +0 g 0 G +/F27 9.9626 Tf -219.925 -30.766 Td [(T)32(yp)-32(e:)]TJ +0 g 0 G +/F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ +0 g 0 G +/F27 9.9626 Tf -33.797 -21.84 Td [(On)-383(En)32(try)]TJ +0 g 0 G +0 g 0 G + 0 -21.839 Td [(glob)]TJ +ET +q +1 0 0 1 172.397 331.576 cm []0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F27 9.9626 Tf 125.247 468.561 Td [(a)]TJ +/F27 9.9626 Tf 175.834 331.377 Td [(x)]TJ 0 g 0 G -/F8 9.9626 Tf 10.551 0 Td [(the)-333(comm)27(unication)-333(descriptor.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.899 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ +/F8 9.9626 Tf 11.028 0 Td [(The)-333(arra)27(y)-333(that)-333(m)28(ust)-334(b)-27(e)-334(scattered)-333(in)28(to)-334(lo)-28(cal)-333(pieces.)]TJ -11.251 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(rank)-333(one)-334(or)-333(t)28(w)28(o)-334(arra)28(y)84(.)]TJ +0 g 0 G +/F27 9.9626 Tf -24.906 -21.839 Td [(desc)]TJ +ET +q +1 0 0 1 172.619 261.916 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +Q +BT +/F27 9.9626 Tf 176.057 261.717 Td [(a)]TJ +0 g 0 G +/F8 9.9626 Tf 10.55 0 Td [(con)28(tains)-334(data)-333(structures)-333(for)-333(c)-1(omm)28(unications.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG /F30 9.9626 Tf 170.915 0 Td [(psb)]TJ ET q -1 0 0 1 312.036 420.94 cm +1 0 0 1 362.845 214.095 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 315.174 420.741 Td [(desc)]TJ +/F30 9.9626 Tf 365.983 213.896 Td [(desc)]TJ ET q -1 0 0 1 336.723 420.94 cm +1 0 0 1 387.532 214.095 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 339.861 420.741 Td [(type)]TJ -0 g 0 G -/F8 9.9626 Tf 20.921 0 Td [(.)]TJ -0 g 0 G -/F27 9.9626 Tf -260.887 -19.926 Td [(info)]TJ +/F30 9.9626 Tf 390.67 213.896 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.149 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detecte)-1(d)1(.)]TJ/F16 11.9552 Tf -24.907 -21.918 Td [(Notes)]TJ +/F8 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G -/F8 9.9626 Tf 12.177 -19.925 Td [(1.)]TJ +/F27 9.9626 Tf -260.887 -21.839 Td [(ro)-32(ot)]TJ 0 g 0 G - [-500(On)-333(exit)-334(from)-333(this)-333(routine)-333(the)-334(descriptor)-333(is)-333(in)-334(the)-333(assem)28(bled)-334(state.)]TJ +/F8 9.9626 Tf 25.93 0 Td [(The)-420(pro)-27(ce)-1(ss)-419(that)-420(holds)-419(the)-420(global)-420(cop)28(y)83(.)-703(If)]TJ/F11 9.9626 Tf 194.21 0 Td [(r)-28(oot)]TJ/F8 9.9626 Tf 22.228 0 Td [(=)]TJ/F14 9.9626 Tf 11.949 0 Td [(\000)]TJ/F8 9.9626 Tf 7.749 0 Td [(1)-420(all)-419(the)-420(pro)-28(cesses)]TJ -237.16 -11.956 Td [(ha)28(v)28(e)-334(a)-333(cop)28(y)-334(of)-333(the)-333(global)-334(v)28(ector.)]TJ 0 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(optional)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-344(as)-1(:)-467(an)-344(in)28(tege)-1(r)-344(v)55(ariabl)1(e)]TJ/F14 9.9626 Tf 142.757 0 Td [(\000)]TJ/F8 9.9626 Tf 7.749 0 Td [(1)]TJ/F14 9.9626 Tf 7.937 0 Td [(\024)]TJ/F11 9.9626 Tf 10.705 0 Td [(r)-28(oot)]TJ/F14 9.9626 Tf 20.983 0 Td [(\024)]TJ/F11 9.9626 Tf 10.704 0 Td [(np)]TJ/F14 9.9626 Tf 13.282 0 Td [(\000)]TJ/F8 9.9626 Tf 10.038 0 Td [(1,)-347(default)]TJ/F30 9.9626 Tf 44.809 0 Td [(psb_root_)]TJ/F8 9.9626 Tf 47.073 0 Td [(,)]TJ -316.037 -11.955 Td [(i.e.)-444(pro)-28(cess)-334(0.)]TJ 0 g 0 G - 154.698 -220.714 Td [(67)]TJ + 141.968 -29.888 Td [(62)]TJ 0 g 0 G ET endstream endobj -1293 0 obj +1282 0 obj << -/Length 3278 +/Length 4181 >> stream 0 g 0 G 0 g 0 G +0 g 0 G BT -/F16 11.9552 Tf 150.705 706.129 Td [(psb)]TJ +/F27 9.9626 Tf 99.895 706.129 Td [(mold)]TJ +0 g 0 G +/F8 9.9626 Tf 29.805 0 Td [(The)-333(desired)-334(dynamic)-333(t)28(yp)-28(e)-333(for)-334(the)-333(in)28(ternal)-333(v)27(ector)-333(storage.)]TJ -4.898 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -55.452 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -70.188 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-273(as:)-414(an)-274(ob)-55(ject)-273(of)-274(a)-273(class)-273(deriv)28(ed)-274(from)]TJ/F30 9.9626 Tf 198.26 0 Td [(psb)]TJ ET q -1 0 0 1 171.761 706.328 cm -[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S +1 0 0 1 339.381 658.507 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F16 11.9552 Tf 175.796 706.129 Td [(cdcp)31(y)-375(|)-375(Copies)-375(a)-375(comm)31(unication)-375(descriptor)]TJ -0 g 0 G -0 g 0 G -/F30 9.9626 Tf -25.091 -18.389 Td [(call)-525(psb_cdcpy\050desc_in,)-525(desc_out,)-525(info\051)]TJ -0 g 0 G -/F27 9.9626 Tf 0 -21.918 Td [(T)32(yp)-32(e:)]TJ -0 g 0 G -/F8 9.9626 Tf 33.797 0 Td [(Async)28(hronous.)]TJ -0 g 0 G -/F27 9.9626 Tf -33.797 -19.926 Td [(On)-383(En)32(try)]TJ -0 g 0 G -0 g 0 G - 0 -19.925 Td [(desc)]TJ +/F30 9.9626 Tf 342.519 658.308 Td [(T)]TJ ET q -1 0 0 1 172.619 626.17 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +1 0 0 1 348.377 658.507 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F27 9.9626 Tf 176.057 625.971 Td [(in)]TJ -0 g 0 G -/F8 9.9626 Tf 14.528 0 Td [(the)-333(comm)27(unication)-333(descriptor.)]TJ -14.974 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.184 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ +/F30 9.9626 Tf 351.515 658.308 Td [(base)]TJ +ET +q +1 0 0 1 373.064 658.507 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 376.202 658.308 Td [(vect)]TJ +ET +q +1 0 0 1 397.751 658.507 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 400.89 658.308 Td [(type)]TJ/F8 9.9626 Tf 20.921 0 Td [(;)-293(this)]TJ -297.009 -11.955 Td [(is)-333(only)-334(allo)28(w)28(ed)-333(when)-334(lo)-27(c)]TJ +ET +q +1 0 0 1 231.17 646.552 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F8 9.9626 Tf 234.159 646.353 Td [(x)-333(is)-334(of)-333(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ +/F30 9.9626 Tf 52.359 0 Td [(psb)]TJ ET q -1 0 0 1 362.845 578.35 cm +1 0 0 1 302.837 646.552 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 365.983 578.15 Td [(desc)]TJ +/F30 9.9626 Tf 305.975 646.353 Td [(T)]TJ ET q -1 0 0 1 387.532 578.35 cm +1 0 0 1 311.833 646.552 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 390.67 578.15 Td [(type)]TJ +/F30 9.9626 Tf 314.971 646.353 Td [(vect)]TJ +ET +q +1 0 0 1 336.52 646.552 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 339.658 646.353 Td [(type)]TJ 0 g 0 G /F8 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -260.887 -21.917 Td [(On)-383(Return)]TJ +/F27 9.9626 Tf -260.685 -19.925 Td [(On)-383(Return)]TJ 0 g 0 G 0 g 0 G - 0 -19.926 Td [(desc)]TJ + 0 -19.926 Td [(lo)-32(c)]TJ ET q -1 0 0 1 172.619 536.507 cm +1 0 0 1 114.904 606.702 cm []0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F27 9.9626 Tf 176.057 536.307 Td [(out)]TJ +/F27 9.9626 Tf 118.341 606.502 Td [(x)]TJ 0 g 0 G -/F8 9.9626 Tf 21.53 0 Td [(the)-333(comm)27(unication)-333(descriptor)-333(cop)28(y)83(.)]TJ -21.976 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.184 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td 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[(psb)]TJ +ET +q +1 0 0 1 141.121 546.926 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 144.259 546.727 Td [(T)]TJ ET q -1 0 0 1 362.845 488.686 cm +1 0 0 1 150.117 546.926 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 365.983 488.487 Td [(desc)]TJ +/F30 9.9626 Tf 153.255 546.727 Td [(vect)]TJ ET q -1 0 0 1 387.532 488.686 cm +1 0 0 1 174.804 546.926 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 390.67 488.487 Td [(type)]TJ +/F30 9.9626 Tf 177.942 546.727 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.922 0 Td [(.)]TJ +/F8 9.9626 Tf 24.242 0 Td [(con)28(taining)-333(n)27(um)28(b)-28(ers)-333(of)-333(the)-334(t)28(yp)-28(e)-333(indicated)-333(in)-333(T)83(able)]TJ +0 0 1 rg 0 0 1 RG + [-334(17)]TJ 0 g 0 G -/F27 9.9626 Tf -260.887 -19.926 Td [(info)]TJ + [(.)]TJ 0 g 0 G -/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.148 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)27(t)1(e)-1(ger)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detec)-1(ted.)]TJ +/F27 9.9626 Tf -102.289 -19.926 Td [(info)]TJ +0 g 0 G +/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.149 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detecte)-1(d)1(.)]TJ 0 g 0 G - 141.968 -330.303 Td [(68)]TJ + 141.968 -388.543 Td [(63)]TJ 0 g 0 G ET endstream endobj -1298 0 obj 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[(call)-525(psb_cdall\050icontxt,)-525(desc_a,)-525(info,vl=vl,[nl=nl,globalcheck=.true.,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/F8 9.9626 Tf 14.944 -20.107 Td [(This)-314(subroutine)-314(initializes)-315(th)1(e)-315(comm)28(unication)-314(descriptor)-314(ass)-1(o)-27(ciated)-315(with)-314(an)]TJ -14.944 -11.955 Td [(index)-326(space.)-442(One)-326(of)-326(the)-327(op)1(tional)-327(argu)1(m)-1(en)28(ts)]TJ/F30 9.9626 Tf 193.679 0 Td [(parts)]TJ/F8 9.9626 Tf 26.152 0 Td [(,)]TJ/F30 9.9626 Tf 6.031 0 Td [(vg)]TJ/F8 9.9626 Tf 10.461 0 Td [(,)]TJ/F30 9.9626 Tf 6.031 0 Td [(vl)]TJ/F8 9.9626 Tf 10.46 0 Td [(,)]TJ/F30 9.9626 Tf 6.031 0 Td [(nl)]TJ/F8 9.9626 Tf 13.71 0 Td [(or)]TJ/F30 9.9626 Tf 12.133 0 Td [(repl)]TJ/F8 9.9626 Tf 24.17 0 Td [(m)28(ust)-326(b)-28(e)]TJ -308.858 -11.955 Td [(sp)-28(eci\014ed,)-333(thereb)28(y)-334(c)28(ho)-28(osing)-333(the)-333(sp)-28(eci\014c)-333(initialization)-334(strategy)84(.)]TJ +0 g 0 G +/F27 9.9626 Tf 0 -18.477 Td [(On)-383(En)32(try)]TJ 0 g 0 G -/F27 9.9626 Tf 0 -21.918 Td [(T)32(yp)-32(e:)]TJ +0 g 0 G + 0 -19.201 Td [(T)32(yp)-32(e:)]TJ 0 g 0 G /F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ 0 g 0 G -/F27 9.9626 Tf -33.797 -19.926 Td [(On)-383(En)32(try)]TJ +/F27 9.9626 Tf -33.797 -19.201 Td [(icon)32(txt)]TJ 0 g 0 G +/F8 9.9626 Tf 39.989 0 Td [(the)-333(comm)27(unication)-333(con)28(text.)]TJ -15.082 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.95 0 Td [(global)]TJ/F8 9.9626 Tf 29.757 0 Td [(.)]TJ -57.707 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -67.081 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-444(a)-1(n)-333(in)28(teger)-333(v)55(alue.)]TJ 0 g 0 G - 0 -19.925 Td [(desc)]TJ -ET -q -1 0 0 1 121.81 626.17 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S -Q -BT -/F27 9.9626 Tf 125.247 625.971 Td [(a)]TJ +/F27 9.9626 Tf -24.907 -19.201 Td [(vg)]TJ 0 g 0 G -/F8 9.9626 Tf 10.551 0 Td [(the)-333(comm)27(unication)-333(descriptor)-333(to)-333(b)-28(e)-334(freed.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.899 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ -0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ -ET -q -1 0 0 1 312.036 578.35 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 315.174 578.15 Td [(desc)]TJ -ET -q -1 0 0 1 336.723 578.35 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 339.861 578.15 Td [(type)]TJ +/F8 9.9626 Tf 16.757 0 Td [(Data)-333(allo)-28(cation:)-444(eac)27(h)-333(index)]TJ/F11 9.9626 Tf 123.564 0 Td [(i)]TJ/F14 9.9626 Tf 6.2 0 Td [(2)-278(f)]TJ/F8 9.9626 Tf 14.39 0 Td [(1)]TJ/F11 9.9626 Tf 6.642 0 Td [(:)-167(:)-166(:)-167(mg)]TJ/F14 9.9626 Tf 27.14 0 Td [(g)]TJ/F8 9.9626 Tf 8.302 0 Td [(is)-333(allo)-28(cated)-334(t)1(o)-334(pro)-28(cess)]TJ/F11 9.9626 Tf 99.267 0 Td [(v)-36(g)]TJ/F8 9.9626 Tf 10.296 0 Td [(\050)]TJ/F11 9.9626 Tf 3.874 0 Td [(i)]TJ/F8 9.9626 Tf 3.433 0 Td [(\051.)]TJ -294.958 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.95 0 Td [(global)]TJ/F8 9.9626 Tf 29.757 0 Td [(.)]TJ -57.707 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -65.76 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(arra)27(y)84(.)]TJ 0 g 0 G -/F8 9.9626 Tf 20.921 0 Td [(.)]TJ +/F27 9.9626 Tf -24.907 -19.201 Td [(\015ag)]TJ 0 g 0 G -/F27 9.9626 Tf -260.887 -21.917 Td [(On)-383(Return)]TJ +/F8 9.9626 Tf 22.644 0 Td [(Sp)-28(eci\014es)-333(whether)-333(e)-1(n)28(tries)-333(in)]TJ/F11 9.9626 Tf 121.932 0 Td [(v)-36(g)]TJ/F8 9.9626 Tf 13.617 0 Td [(are)-333(zero-)-334(or)-333(one-based.)]TJ -133.286 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.95 0 Td [(global)]TJ/F8 9.9626 Tf 29.757 0 Td [(.)]TJ -57.707 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -65.76 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(v)55(alue)-333(0)]TJ/F11 9.9626 Tf 135.409 0 Td [(;)]TJ/F8 9.9626 Tf 4.428 0 Td [(1,)-333(default)-334(0.)]TJ 0 g 0 G +/F27 9.9626 Tf -164.744 -19.2 Td [(mg)]TJ 0 g 0 G - 0 -19.926 Td [(info)]TJ +/F8 9.9626 Tf 20.257 0 Td [(the)-333(\050global\051)-334(n)28(um)28(b)-28(er)-333(of)-333(ro)27(ws)-333(of)-333(the)-334(probl)1(e)-1(m.)]TJ 4.65 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.95 0 Td [(global)]TJ/F8 9.9626 Tf 29.757 0 Td [(.)]TJ -57.707 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -65.76 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-332(as:)-444(an)-333(in)28(teger)-333(v)56(alue.)-444(I)-1(t)-332(is)-333(required)-332(if)]TJ/F30 9.9626 Tf 203.266 0 Td [(parts)]TJ/F8 9.9626 Tf 29.465 0 Td [(or)]TJ/F30 9.9626 Tf 12.198 0 Td [(repl)]TJ/F8 9.9626 Tf 24.235 0 Td [(is)-333(sp)-27(ec)-1(i)1(\014e)-1(d)1(,)]TJ -269.164 -11.955 Td [(it)-333(is)-334(optional)-333(if)]TJ/F30 9.9626 Tf 67.856 0 Td [(vg)]TJ/F8 9.9626 Tf 13.782 0 Td [(is)-333(sp)-28(eci\014ed.)]TJ 0 g 0 G -/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.149 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detecte)-1(d)1(.)]TJ +/F27 9.9626 Tf -106.545 -19.201 Td [(parts)]TJ +0 g 0 G +/F8 9.9626 Tf 30.609 0 Td [(the)-333(subroutine)-334(th)1(at)-334(de\014nes)-333(the)-333(partitioning)-334(sc)28(heme.)]TJ -5.702 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.95 0 Td [(global)]TJ/F8 9.9626 Tf 29.757 0 Td [(.)]TJ -57.707 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -67.081 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(subroutine.)]TJ +0 g 0 G +/F27 9.9626 Tf -24.907 -19.201 Td [(vl)]TJ +0 g 0 G +/F8 9.9626 Tf 14.211 0 Td [(Data)-363(allo)-28(cation:)-504(the)-363(set)-364(of)-363(global)-363(indices)]TJ/F11 9.9626 Tf 182.789 0 Td [(v)-36(l)]TJ/F8 9.9626 Tf 8.355 0 Td [(\0501)-328(:)]TJ/F11 9.9626 Tf 18.15 0 Td [(nl)]TJ/F8 9.9626 Tf 9.149 0 Td [(\051)-363(b)-28(elonging)-363(to)-363(the)-364(callin)1(g)]TJ -207.747 -11.955 Td [(pro)-28(cess.)]TJ 0 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.95 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.074 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -65.76 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(arra)27(y)84(.)]TJ 0 g 0 G - 141.968 -398.049 Td [(69)]TJ + 141.967 -29.888 Td [(64)]TJ 0 g 0 G ET endstream endobj -1304 0 obj +1291 0 obj << -/Length 5916 +/Length 6637 >> stream 0 g 0 G 0 g 0 G +0 g 0 G BT -/F16 11.9552 Tf 150.705 706.129 Td [(psb)]TJ -ET -q -1 0 0 1 171.761 706.328 cm -[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S -Q -BT -/F16 11.9552 Tf 175.796 706.129 Td [(cdbldext)-282(|)-283(Build)-282(an)-282(extended)-283(comm)31(unication)-282(descrip-)]TJ -25.091 -13.948 Td [(tor)]TJ +/F27 9.9626 Tf 99.895 706.129 Td [(nl)]TJ 0 g 0 G +/F8 9.9626 Tf 14.529 0 Td [(Data)-223(allo)-28(cation:)-389(in)-222(a)-223(generalized)-223(blo)-28(c)28(k-ro)28(w)-223(distribution)-223(the)-222(n)27(um)28(b)-28(er)-222(of)-223(indices)]TJ 10.378 -11.955 Td [(b)-28(elonging)-333(to)-333(the)-334(curren)28(t)-333(pro)-28(cess.)]TJ 0 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -65.76 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(v)55(alue.)-444(Ma)28(y)-334(b)-27(e)-334(sp)-28(eci\014ed)-333(together)-333(with)]TJ/F30 9.9626 Tf 272.479 0 Td [(vl)]TJ/F8 9.9626 Tf 10.46 0 Td [(.)]TJ 0 g 0 G -/F30 9.9626 Tf 0 -19.114 Td [(call)-525(psb_cdbldext\050a,desc_a,nl,desc_out,)-525(info,)-525(extype\051)]TJ/F8 9.9626 Tf 14.944 -23.476 Td [(This)-298(subroutin)1(e)-298(builds)-298(an)-297(extended)-298(comm)28(unication)-298(descriptor,)-305(based)-297(on)-298(the)]TJ -14.944 -11.955 Td [(input)-389(descriptor)]TJ/F30 9.9626 Tf 74.287 0 Td [(desc_a)]TJ/F8 9.9626 Tf 35.261 0 Td [(and)-389(on)-390(the)-389(stencil)-390(sp)-27(eci\014ed)-390(through)-389(the)-389(input)-390(sparse)]TJ -109.548 -11.956 Td [(matrix)]TJ/F30 9.9626 Tf 32.406 0 Td [(a)]TJ/F8 9.9626 Tf 5.231 0 Td [(.)]TJ +/F27 9.9626 Tf -307.846 -20.135 Td [(repl)]TJ 0 g 0 G -/F27 9.9626 Tf -37.637 -21.094 Td [(T)32(yp)-32(e:)]TJ +/F8 9.9626 Tf 24.499 0 Td [(Data)-351(allo)-28(cation:)-480(build)-351(a)-351(replicated)-351(index)-351(space)-351(\050i.e.)-498(all)-351(pro)-28(cesses)-351(o)27(wn)-351(all)]TJ 0.408 -11.955 Td [(indices\051.)]TJ 0 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(global)]TJ/F8 9.9626 Tf 29.756 0 Td [(.)]TJ -57.707 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -65.76 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(th)1(e)-334(logical)-333(v)55(alue)]TJ/F30 9.9626 Tf 131.784 0 Td [(.true.)]TJ 0 g 0 G -/F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ +/F27 9.9626 Tf -156.691 -20.135 Td [(globalc)32(hec)32(k)]TJ 0 g 0 G -/F27 9.9626 Tf -33.797 -21.483 Td [(On)-383(En)32(try)]TJ +/F8 9.9626 Tf 61.948 0 Td [(Data)-333(allo)-28(cation:)-445(d)1(o)-334(global)-333(c)28(hec)27(ks)-333(on)-333(the)-334(lo)-27(cal)-334(index)-333(lists)]TJ/F30 9.9626 Tf 250.201 0 Td [(vl)]TJ/F8 9.9626 Tf -287.242 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(global)]TJ/F8 9.9626 Tf 29.756 0 Td [(.)]TJ -57.707 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -65.76 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(logical)-333(v)55(alue,)-333(default:)]TJ/F30 9.9626 Tf 163.056 0 Td [(.true.)]TJ 0 g 0 G +/F27 9.9626 Tf -187.963 -20.135 Td [(lidx)]TJ 0 g 0 G - 0 -21.484 Td [(a)]TJ +/F8 9.9626 Tf 23.758 0 Td [(Data)-353(allo)-28(cation:)-484(the)-353(set)-353(of)-353(lo)-28(cal)-353(indices)]TJ/F11 9.9626 Tf 176.172 0 Td [(l)-20(idx)]TJ/F8 9.9626 Tf 17.48 0 Td [(\0501)-311(:)]TJ/F11 9.9626 Tf 17.814 0 Td [(nl)]TJ/F8 9.9626 Tf 9.149 0 Td [(\051)-353(to)-353(b)-28(e)-353(assigned)-353(to)-353(the)]TJ -219.466 -11.955 Td [(global)-333(indices)]TJ/F11 9.9626 Tf 62.045 0 Td [(v)-36(l)]TJ/F8 9.9626 Tf 8.355 0 Td [(.)]TJ -70.4 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -65.76 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(arra)27(y)84(.)]TJ 0 g 0 G -/F8 9.9626 Tf 10.551 0 Td [(A)-333(sparse)-334(matrix)-333(Scop)-28(e:)]TJ/F27 9.9626 Tf 101.176 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -109.893 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -67.081 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-444(a)-334(structured)-333(data)-333(t)27(yp)-27(e.)]TJ +/F27 9.9626 Tf -24.907 -22.127 Td [(On)-383(Return)]TJ 0 g 0 G -/F27 9.9626 Tf -24.907 -21.484 Td [(desc)]TJ +0 g 0 G + 0 -20.135 Td [(desc)]TJ ET q -1 0 0 1 172.619 504.47 cm +1 0 0 1 121.81 376.512 cm []0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F27 9.9626 Tf 176.057 504.27 Td [(a)]TJ +/F27 9.9626 Tf 125.247 376.313 Td [(a)]TJ 0 g 0 G -/F8 9.9626 Tf 10.55 0 Td [(the)-333(comm)27(unication)-333(descriptor.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.184 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ +/F8 9.9626 Tf 10.551 0 Td [(the)-333(comm)27(unication)-333(descriptor.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.899 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG /F30 9.9626 Tf 170.915 0 Td [(psb)]TJ ET q -1 0 0 1 362.845 456.649 cm +1 0 0 1 312.036 328.692 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 365.983 456.45 Td [(Tspmat)]TJ +/F30 9.9626 Tf 315.174 328.492 Td [(desc)]TJ ET q -1 0 0 1 397.993 456.649 cm +1 0 0 1 336.723 328.692 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 401.131 456.45 Td [(type)]TJ +/F30 9.9626 Tf 339.861 328.492 Td [(type)]TJ 0 g 0 G /F8 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -271.347 -21.484 Td [(nl)]TJ +/F27 9.9626 Tf -260.887 -20.135 Td [(info)]TJ 0 g 0 G -/F8 9.9626 Tf 14.529 0 Td [(the)-333(n)28(um)27(b)-27(er)-334(of)-333(additional)-333(la)28(y)27(ers)-333(desired.)]TJ 10.377 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(global)]TJ/F8 9.9626 Tf 29.757 0 Td [(.)]TJ -57.708 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.184 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(v)55(alue)]TJ/F11 9.9626 Tf 130.428 0 Td [(nl)]TJ/F14 9.9626 Tf 11.916 0 Td [(\025)]TJ/F8 9.9626 Tf 10.516 0 Td [(0.)]TJ +/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.149 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detecte)-1(d)1(.)]TJ/F16 11.9552 Tf -24.907 -22.128 Td [(Notes)]TJ 0 g 0 G -/F27 9.9626 Tf -177.766 -21.483 Td [(ext)32(yp)-32(e)]TJ +/F8 9.9626 Tf 12.177 -20.082 Td [(1.)]TJ 0 g 0 G -/F8 9.9626 Tf 38.397 0 Td [(the)-333(kind)-334(of)-333(estension)-333(required.)]TJ -13.491 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(global)]TJ/F8 9.9626 Tf 29.757 0 Td [(.)]TJ -57.708 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.184 0 Td [(optional)]TJ/F8 9.9626 Tf 44.396 0 Td [(.)]TJ -69.58 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-419(as:)-616(an)-420(in)28(teger)-419(v)55(alue)]TJ/F30 9.9626 Tf 135.566 0 Td [(psb_ovt_xhal_)]TJ/F8 9.9626 Tf 67.995 0 Td [(,)]TJ/F30 9.9626 Tf 7.159 0 Td [(psb_ovt_asov_)]TJ/F8 9.9626 Tf 67.994 0 Td [(,)-441(default:)]TJ/F30 9.9626 Tf -278.714 -11.955 Td [(psb_ovt_xhal_)]TJ + [-500(One)-241(of)-241(the)-240(optional)-241(argumen)28(ts)]TJ/F30 9.9626 Tf 144.914 0 Td [(parts)]TJ/F8 9.9626 Tf 26.152 0 Td [(,)]TJ/F30 9.9626 Tf 5.351 0 Td [(vg)]TJ/F8 9.9626 Tf 10.461 0 Td [(,)]TJ/F30 9.9626 Tf 5.351 0 Td [(vl)]TJ/F8 9.9626 Tf 10.46 0 Td [(,)]TJ/F30 9.9626 Tf 5.351 0 Td [(nl)]TJ/F8 9.9626 Tf 12.86 0 Td [(or)]TJ/F30 9.9626 Tf 11.283 0 Td [(repl)]TJ/F8 9.9626 Tf 23.32 0 Td [(m)28(ust)-241(b)-28(e)-241(sp)-27(e)-1(ci\014)1(e)-1(d)1(,)]TJ -242.773 -11.956 Td [(thereb)28(y)-334(c)28(ho)-28(osing)-333(the)-333(initialization)-333(strategy)-334(as)-333(follo)28(ws:)]TJ 0 g 0 G -/F27 9.9626 Tf -24.906 -23.476 Td [(On)-383(Return)]TJ +/F27 9.9626 Tf 0 -20.135 Td [(parts)]TJ 0 g 0 G +/F8 9.9626 Tf 30.609 0 Td [(In)-337(this)-338(case)-338(w)28(e)-337(ha)28(v)27(e)-337(a)-338(subroutine)-337(sp)-28(ecifying)-337(the)-338(mapping)-337(b)-28(et)28(w)28(een)]TJ -8.691 -11.955 Td [(global)-225(indices)-225(and)-225(pro)-28(cess/lo)-27(c)-1(al)-225(i)1(ndex)-225(pairs.)-409(If)-225(this)-225(optional)-225(ar)1(gume)-1(n)28(t)]TJ 0 -11.955 Td [(is)-316(sp)-28(eci\014ed,)-320(then)-316(it)-317(is)-316(mandatory)-316(to)-317(sp)-28(ecify)-316(the)-316(argumen)28(t)]TJ/F30 9.9626 Tf 251.562 0 Td [(mg)]TJ/F8 9.9626 Tf 13.613 0 Td [(as)-316(w)27(ell.)]TJ -265.175 -11.955 Td [(The)-333(subroutine)-334(m)28(ust)-333(conform)-333(to)-334(the)-333(follo)28(wing)-334(in)28(terface:)]TJ +0 g 0 G +0 g 0 G +/F30 9.9626 Tf 10.461 -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 +/F8 9.9626 Tf 93.898 -29.888 Td [(65)]TJ 0 g 0 G - 0 -21.484 Td [(desc)]TJ ET -q -1 0 0 1 172.619 261.126 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S -Q + +endstream +endobj +1297 0 obj +<< +/Length 10049 +>> +stream +0 g 0 G +0 g 0 G BT -/F27 9.9626 Tf 176.057 260.927 Td [(out)]TJ +/F30 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/F8 9.9626 Tf -10.461 -17.586 Td [(The)-333(input)-334(argumen)28(ts)-333(are:)]TJ 0 g 0 G -/F8 9.9626 Tf 21.53 0 Td [(the)-333(extended)-334(comm)28(unication)-333(descriptor.)]TJ -21.976 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.184 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ -0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ +/F27 9.9626 Tf 0 -15.594 Td [(glob)]TJ ET q -1 0 0 1 362.845 213.305 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +1 0 0 1 219.221 637.283 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F30 9.9626 Tf 365.983 213.106 Td [(desc)]TJ +/F27 9.9626 Tf 222.658 637.083 Td [(index)]TJ +0 g 0 G +/F8 9.9626 Tf 32.192 0 Td [(The)-333(global)-334(index)-333(to)-333(b)-28(e)-333(mapp)-28(ed;)]TJ +0 g 0 G +/F27 9.9626 Tf -57.321 -13.774 Td [(np)]TJ +0 g 0 G +/F8 9.9626 Tf 17.712 0 Td [(The)-333(n)27(u)1(m)27(b)-27(e)-1(r)-333(of)-333(pro)-28(cesses)-333(in)-334(the)-333(mapping;)]TJ +0 g 0 G +/F27 9.9626 Tf -17.712 -13.774 Td [(mg)]TJ +0 g 0 G +/F8 9.9626 Tf 20.258 0 Td [(The)-333(total)-334(n)28(um)28(b)-28(er)-333(of)-333(global)-334(ro)28(ws)-333(in)-334(th)1(e)-334(mapping;)]TJ -20.258 -15.594 Td [(The)-333(output)-334(argumen)28(ts)-333(are:)]TJ +0 g 0 G +/F27 9.9626 Tf 0 -15.594 Td [(n)32(v)]TJ +0 g 0 G +/F8 9.9626 Tf 17.075 0 Td [(The)-333(n)27(um)28(b)-28(er)-333(of)-333(en)28(tries)-334(in)]TJ/F30 9.9626 Tf 111.637 0 Td [(pv)]TJ/F8 9.9626 Tf 10.461 0 Td [(;)]TJ +0 g 0 G +/F27 9.9626 Tf -139.173 -13.774 Td [(p)32(v)]TJ +0 g 0 G +/F8 9.9626 Tf 17.075 0 Td [(A)-481(v)28(ector)-481(con)28(taining)-481(the)-481(indi)1(c)-1(es)-480(of)-481(the)-481(pro)-28(cesses)-481(to)-481(whic)28(h)-481(the)]TJ 1.555 -11.955 Td [(global)-468(index)-468(should)-468(b)-28(e)-468(assigend;)-536(eac)28(h)-468(en)28(try)-468(m)28(ust)-469(satisfy)-468(0)]TJ/F14 9.9626 Tf 270.508 0 Td [(\024)]TJ/F11 9.9626 Tf -270.508 -11.956 Td [(pv)]TJ/F8 9.9626 Tf 10.199 0 Td [(\050)]TJ/F11 9.9626 Tf 3.875 0 Td [(i)]TJ/F8 9.9626 Tf 3.432 0 Td [(\051)]TJ/F11 9.9626 Tf 8.603 0 Td [(<)-475(np)]TJ/F8 9.9626 Tf 23.47 0 Td [(;)-511(i)1(f)]TJ/F11 9.9626 Tf 18.163 0 Td [(nv)-511(>)]TJ/F8 9.9626 Tf 28.373 0 Td [(1)-451(w)27(e)-451(ha)28(v)27(e)-451(an)-452(in)1(dex)-452(assigned)-451(to)-452(m)28(ultiple)]TJ -96.115 -11.955 Td [(pro)-28(cesses,)-333(i.e.)-445(w)28(e)-333(ha)27(v)28(e)-333(an)-333(o)27(v)28(erlap)-333(among)-334(t)1(he)-334(sub)-28(domains.)]TJ +0 g 0 G +/F27 9.9626 Tf -40.548 -15.594 Td [(vg)]TJ +0 g 0 G +/F8 9.9626 Tf 16.757 0 Td [(In)-398(th)1(is)-398(case)-398(the)-397(asso)-28(ciation)-398(b)-27(e)-1(t)28(w)28(een)-398(an)-397(index)-398(and)-397(a)-398(pro)-27(ces)-1(s)-397(is)-398(sp)-28(ec-)]TJ 5.161 -11.955 Td [(i\014ed)-456(via)-456(an)-456(in)28(tege)-1(r)-456(v)28(ector)]TJ/F30 9.9626 Tf 120.743 0 Td [(vg\0501:mg\051)]TJ/F8 9.9626 Tf 41.842 0 Td [(;)-518(eac)28(h)-456(index)]TJ/F11 9.9626 Tf 59.63 0 Td [(i)]TJ/F14 9.9626 Tf 8.238 0 Td [(2)-482(f)]TJ/F8 9.9626 Tf 16.429 0 Td [(1)]TJ/F11 9.9626 Tf 6.642 0 Td [(:)-167(:)-166(:)-167(mg)]TJ/F14 9.9626 Tf 27.14 0 Td [(g)]TJ/F8 9.9626 Tf 9.526 0 Td [(is)]TJ -290.19 -11.955 Td [(assigned)-449(to)-449(pro)-28(cess)]TJ/F11 9.9626 Tf 89.776 0 Td [(v)-36(g)]TJ/F8 9.9626 Tf 10.296 0 Td [(\050)]TJ/F11 9.9626 Tf 3.875 0 Td [(i)]TJ/F8 9.9626 Tf 3.432 0 Td [(\051.)-792(The)-449(v)28(ector)]TJ/F30 9.9626 Tf 67.232 0 Td [(vg)]TJ/F8 9.9626 Tf 14.935 0 Td [(m)28(ust)-449(b)-28(e)-449(iden)28(tica)-1(l)-449(on)-449(all)]TJ -189.546 -11.955 Td [(calling)-452(pro)-28(cesses;)-513(it)1(s)-453(en)28(tries)-453(ma)28(y)-453(ha)28(v)28(e)-453(th)1(e)-453(ranges)-453(\0500)]TJ/F11 9.9626 Tf 236.604 0 Td [(:)-167(:)-166(:)-167(np)]TJ/F14 9.9626 Tf 27.281 0 Td [(\000)]TJ/F8 9.9626 Tf 10.754 0 Td [(1\051)-453(or)]TJ -274.639 -11.955 Td [(\0501)]TJ/F11 9.9626 Tf 10.516 0 Td [(:)-167(:)-166(:)-167(np)]TJ/F8 9.9626 Tf 24.276 0 Td [(\051)-347(according)-347(to)-347(the)-347(v)55(alu)1(e)-348(of)]TJ/F30 9.9626 Tf 119.292 0 Td [(flag)]TJ/F8 9.9626 Tf 20.921 0 Td [(.)-486(The)-347(size)]TJ/F11 9.9626 Tf 47.231 0 Td [(mg)]TJ/F8 9.9626 Tf 17.314 0 Td [(ma)28(y)-347(b)-28(e)-347(sp)-28(ec-)]TJ -239.55 -11.955 Td [(i\014ed)-414(via)-414(the)-415(option)1(al)-415(argumen)28(t)]TJ/F30 9.9626 Tf 142.427 0 Td [(mg)]TJ/F8 9.9626 Tf 10.461 0 Td [(;)-455(the)-414(default)-414(is)-414(to)-414(use)-415(the)-414(en)28(tire)]TJ -152.888 -11.956 Td [(v)28(ector)]TJ/F30 9.9626 Tf 29.916 0 Td [(vg)]TJ/F8 9.9626 Tf 10.46 0 Td [(,)-333(th)27(u)1(s)-334(ha)28(ving)]TJ/F30 9.9626 Tf 60.108 0 Td [(mg=size\050vg\051)]TJ/F8 9.9626 Tf 57.534 0 Td [(.)]TJ +0 g 0 G +/F27 9.9626 Tf -179.936 -15.593 Td [(vl)]TJ +0 g 0 G +/F8 9.9626 Tf 14.211 0 Td [(In)-356(this)-357(case)-356(w)28(e)-357(are)-356(sp)-28(ecifying)-356(the)-357(list)-356(of)-356(indices)]TJ/F30 9.9626 Tf 210.708 0 Td [(vl\0501:nl\051)]TJ/F8 9.9626 Tf 45.393 0 Td [(assigned)-356(to)]TJ -248.394 -11.955 Td [(the)-462(curren)28(t)-462(pro)-27(ce)-1(ss;)-526(th)28(us,)-494(the)-461(global)-462(problem)-462(size)]TJ/F11 9.9626 Tf 229.323 0 Td [(mg)]TJ/F8 9.9626 Tf 18.457 0 Td [(is)-462(giv)28(en)-462(b)28(y)]TJ -247.78 -11.956 Td [(the)-405(range)-405(of)-404(the)-405(aggregate)-405(of)-405(the)-405(in)1(dividual)-405(v)28(ectors)]TJ/F30 9.9626 Tf 233.196 0 Td [(vl)]TJ/F8 9.9626 Tf 14.494 0 Td [(sp)-28(eci\014ed)-405(in)]TJ -247.69 -11.955 Td [(the)-481(calling)-481(p)1(ro)-28(cesses.)-887(The)-481(size)-481(ma)28(y)-481(b)-28(e)-481(sp)-27(eci\014ed)-481(via)-481(the)-481(optional)]TJ 0 -11.955 Td [(argumen)28(t)]TJ/F30 9.9626 Tf 44.85 0 Td [(nl)]TJ/F8 9.9626 Tf 10.461 0 Td [(;)-373(the)-361(default)-360(is)-360(to)-360(use)-360(the)-360(en)28(tire)-361(v)28(ector)]TJ/F30 9.9626 Tf 173.727 0 Td [(vl)]TJ/F8 9.9626 Tf 10.461 0 Td [(,)-367(th)28(us)-360(ha)28(ving)]TJ/F30 9.9626 Tf -239.499 -11.955 Td [(nl=size\050vl\051)]TJ/F8 9.9626 Tf 57.534 0 Td [(.)-419(If)]TJ/F30 9.9626 Tf 16.133 0 Td [(globalcheck=.true.)]TJ/F8 9.9626 Tf 96.698 0 Td [(the)-256(subroutine)-256(will)-256(c)27(hec)28(k)-256(ho)28(w)]TJ -170.365 -11.955 Td [(man)28(y)-255(times)-255(eac)28(h)-254(en)27(try)-254(in)-255(the)-254(global)-255(index)-254(s)-1(p)1(ac)-1(e)-254(\0501)]TJ/F11 9.9626 Tf 217.24 0 Td [(:)-167(:)-166(:)-167(mg)]TJ/F8 9.9626 Tf 27.14 0 Td [(\051)-255(is)-254(sp)-28(eci\014ed)]TJ -244.38 -11.955 Td [(in)-331(the)-331(input)-331(lists)]TJ/F30 9.9626 Tf 75.842 0 Td [(vl)]TJ/F8 9.9626 Tf 10.461 0 Td [(,)-331(th)27(us)-331(all)1(o)27(wing)-331(for)-331(t)1(he)-331(prese)-1(n)1(c)-1(e)-331(of)-330(o)27(v)28(erlap)-331(in)-331(the)]TJ -86.303 -11.956 Td [(input,)-338(and)-337(c)28(hec)27(king)-337(for)-337(\134orphan")-337(indices.)-456(If)]TJ/F30 9.9626 Tf 194.743 0 Td [(globalcheck=.false.)]TJ/F8 9.9626 Tf 99.376 0 Td [(,)]TJ -294.119 -11.955 Td [(the)-409(s)-1(u)1(broutine)-410(will)-409(not)-410(c)28(hec)28(k)-410(for)-409(o)28(v)27(erlap,)-428(and)-409(ma)27(y)-409(b)-28(e)-409(signi\014can)27(tly)]TJ 0 -11.955 Td [(faster,)-362(but)-357(the)-357(user)-356(is)-357(implicitly)-357(gu)1(aran)27(teeing)-356(that)-357(there)-357(ar)1(e)-357(neither)]TJ 0 -11.955 Td [(orphan)-333(nor)-333(o)27(v)28(erlap)-333(indices.)]TJ +0 g 0 G +/F27 9.9626 Tf -21.918 -15.594 Td [(lidx)]TJ +0 g 0 G +/F8 9.9626 Tf 23.758 0 Td [(The)-463(optional)-462(argumen)28(t)]TJ/F30 9.9626 Tf 107.67 0 Td [(lidx)]TJ/F8 9.9626 Tf 25.531 0 Td [(is)-463(a)28(v)56(ailable)-463(for)-462(those)-463(cases)-463(in)-463(whi)1(c)27(h)]TJ -135.041 -11.955 Td [(the)-446(user)-446(has)-446(already)-446(established)-446(a)-446(global-to-lo)-28(cal)-446(mapping;)-502(if)-446(it)-446(is)]TJ 0 -11.955 Td [(sp)-28(eci\014ed,)-373(eac)28(h)-365(index)-365(in)]TJ/F30 9.9626 Tf 105.175 0 Td [(vl\050i\051)]TJ/F8 9.9626 Tf 29.789 0 Td [(will)-365(b)-28(e)-365(mapp)-28(ed)-365(to)-365(the)-365(corresp)-27(onding)]TJ -134.964 -11.955 Td [(lo)-28(cal)-392(index)]TJ/F30 9.9626 Tf 51.539 0 Td [(lidx\050i\051)]TJ/F8 9.9626 Tf 36.613 0 Td [(.)-621(When)-392(sp)-28(ecifying)-392(the)-392(argumen)28(t)]TJ/F30 9.9626 Tf 148.368 0 Td [(lidx)]TJ/F8 9.9626 Tf 24.828 0 Td [(the)-392(user)]TJ -261.348 -11.956 Td [(w)28(ould)-420(also)-420(lik)28(ely)-419(e)-1(mpl)1(o)27(y)]TJ/F30 9.9626 Tf 113.086 0 Td [(lidx)]TJ/F8 9.9626 Tf 25.103 0 Td [(in)-420(calls)-419(to)]TJ/F30 9.9626 Tf 48.576 0 Td [(psb_cdins)]TJ/F8 9.9626 Tf 51.254 0 Td [(and)]TJ/F30 9.9626 Tf 20.232 0 Td [(local)]TJ/F8 9.9626 Tf 30.333 0 Td [(in)]TJ -288.584 -11.955 Td [(calls)-333(to)]TJ/F30 9.9626 Tf 34.371 0 Td [(psb_spins)]TJ/F8 9.9626 Tf 50.394 0 Td [(and)]TJ/F30 9.9626 Tf 19.372 0 Td [(psb_geins)]TJ/F8 9.9626 Tf 47.073 0 Td [(;)-333(see)-334(also)-333(sec.)]TJ +0 0 1 rg 0 0 1 RG + [-334(2.3.1)]TJ +0 g 0 G + [(.)]TJ +0 g 0 G +/F27 9.9626 Tf -173.128 -15.593 Td [(nl)]TJ +0 g 0 G +/F8 9.9626 Tf 14.529 0 Td [(If)-307(this)-308(argumen)28(t)-307(is)-308(sp)-28(eci\014ed)-307(alone)-308(\050i.e.)-435(without)]TJ/F30 9.9626 Tf 206.41 0 Td [(vl)]TJ/F8 9.9626 Tf 10.461 0 Td [(\051)-307(the)-308(result)-307(is)-308(a)-307(gen-)]TJ -209.482 -11.956 Td [(eralized)-313(ro)27(w-blo)-27(c)27(k)-313(distribution)-313(in)-314(whic)28(h)-313(eac)27(h)-313(pro)-28(cess)]TJ/F11 9.9626 Tf 232.18 0 Td [(I)]TJ/F8 9.9626 Tf 8.284 0 Td [(gets)-313(as)-1(signed)]TJ -240.464 -11.955 Td [(a)-333(consecutiv)27(e)-333(c)28(h)28(unk)-334(of)]TJ/F11 9.9626 Tf 101.342 0 Td [(N)]TJ/F10 6.9738 Tf 8.005 -1.494 Td [(I)]TJ/F8 9.9626 Tf 7.338 1.494 Td [(=)]TJ/F11 9.9626 Tf 10.516 0 Td [(nl)]TJ/F8 9.9626 Tf 12.47 0 Td [(global)-333(indices.)]TJ +0 g 0 G +/F27 9.9626 Tf -161.589 -15.593 Td [(repl)]TJ +0 g 0 G +/F8 9.9626 Tf 24.498 0 Td [(This)-239(argumen)28(ts)-240(sp)-27(e)-1(ci\014es)-239(to)-239(replicate)-239(all)-239(indices)-240(on)-239(all)-239(pro)-28(cesses.)-413(This)]TJ -2.58 -11.956 Td [(is)-312(a)-311(sp)-28(ecial)-312(purp)-27(ose)-312(data)-312(allo)-27(cation)-312(that)-311(is)-312(useful)-312(in)-311(the)-312(construction)]TJ 0 -11.955 Td [(of)-333(some)-334(m)28(ultilev)28(el)-334(p)1(rec)-1(on)1(ditioners.)]TJ +0 g 0 G + -34.648 -19.579 Td [(2.)]TJ +0 g 0 G + [-500(On)-333(exit)-334(from)-333(this)-333(routine)-333(the)-334(descriptor)-333(is)-333(in)-334(the)-333(build)-333(state.)]TJ +0 g 0 G + 154.698 -29.888 Td [(66)]TJ +0 g 0 G +ET + +endstream +endobj +1302 0 obj +<< +/Length 2660 +>> +stream +0 g 0 G +0 g 0 G +0 g 0 G +BT +/F8 9.9626 Tf 112.072 706.129 Td [(3.)]TJ +0 g 0 G + [-500(Calling)-339(the)-339(routine)-339(with)]TJ/F30 9.9626 Tf 121.471 0 Td [(vg)]TJ/F8 9.9626 Tf 13.839 0 Td [(or)]TJ/F30 9.9626 Tf 12.262 0 Td [(parts)]TJ/F8 9.9626 Tf 29.53 0 Td [(implies)-339(that)-339(ev)28(ery)-340(pr)1(o)-28(cess)-340(will)-339(scan)]TJ -164.372 -11.955 Td [(the)-333(en)27(tire)-333(index)-333(space)-334(to)-333(\014gure)-333(out)-333(the)-334(lo)-28(cal)-333(indices.)]TJ +0 g 0 G + -12.73 -19.926 Td [(4.)]TJ +0 g 0 G + [-500(Ov)28(erlapp)-28(ed)-333(indices)-334(are)-333(p)-28(ossible)-333(with)-333(b)-28(oth)]TJ/F30 9.9626 Tf 199.198 0 Td [(parts)]TJ/F8 9.9626 Tf 29.472 0 Td [(and)]TJ/F30 9.9626 Tf 19.372 0 Td [(vl)]TJ/F8 9.9626 Tf 13.782 0 Td [(in)28(v)28(o)-28(cations.)]TJ +0 g 0 G + -261.824 -19.925 Td [(5.)]TJ +0 g 0 G + [-500(When)-222(the)-222(subroutine)-222(is)-223(in)28(v)28(ok)28(ed)-223(with)]TJ/F30 9.9626 Tf 170.61 0 Td [(vl)]TJ/F8 9.9626 Tf 12.675 0 Td [(in)-222(conjunction)-222(with)]TJ/F30 9.9626 Tf 84.959 0 Td [(globalcheck=.true.)]TJ/F8 9.9626 Tf 94.147 0 Td [(,)]TJ -349.661 -11.955 Td [(it)-368(will)-369(p)-28(erform)-368(a)-368(s)-1(can)-368(of)-368(the)-369(index)-368(space)-369(to)-368(searc)27(h)-368(for)-368(o)27(v)28(erlap)-368(or)-369(orp)1(han)]TJ 0 -11.955 Td [(indices.)]TJ +0 g 0 G + -12.73 -19.925 Td [(6.)]TJ +0 g 0 G + [-500(When)-222(the)-222(subroutine)-222(is)-223(in)28(v)28(ok)28(ed)-223(with)]TJ/F30 9.9626 Tf 170.61 0 Td [(vl)]TJ/F8 9.9626 Tf 12.675 0 Td [(in)-222(conjunction)-222(with)]TJ/F30 9.9626 Tf 84.959 0 Td [(globalcheck=.false.)]TJ/F8 9.9626 Tf 99.377 0 Td [(,)]TJ -354.891 -11.956 Td [(no)-405(index)-405(space)-405(scan)-405(will)-405(tak)28(e)-405(place.)-660(Th)28(us)-405(it)-405(is)-405(the)-405(resp)-28(onsibilit)28(y)-405(of)-405(the)]TJ 0 -11.955 Td [(user)-419(to)-418(mak)28(e)-419(sure)-418(that)-419(the)-418(indices)-419(sp)-28(eci\014ed)-418(in)]TJ/F30 9.9626 Tf 211.319 0 Td [(vl)]TJ/F8 9.9626 Tf 14.63 0 Td [(ha)28(v)28(e)-419(neither)-418(orphans)]TJ -225.949 -11.955 Td [(nor)-333(o)28(v)27(erlaps;)-333(if)-333(this)-334(assumption)-333(fails,)-333(results)-334(will)-333(b)-28(e)-333(unpredictable.)]TJ +0 g 0 G + -12.73 -19.925 Td [(7.)]TJ +0 g 0 G + [-500(Orphan)-313(and)-312(o)27(v)28(erlap)-312(indices)-313(are)-313(imp)-28(ossible)-313(b)28(y)-313(construction)-312(when)-313(the)-313(sub-)]TJ 12.73 -11.955 Td [(routine)-333(is)-334(in)28(v)28(ok)28(ed)-334(with)]TJ/F30 9.9626 Tf 103.307 0 Td [(nl)]TJ/F8 9.9626 Tf 13.782 0 Td [(\050alone\051,)-333(or)]TJ/F30 9.9626 Tf 48.734 0 Td [(vg)]TJ/F8 9.9626 Tf 10.46 0 Td [(.)]TJ +0 g 0 G + -34.315 -452.304 Td [(67)]TJ +0 g 0 G +ET + +endstream +endobj +1313 0 obj +<< +/Length 7171 +>> +stream +0 g 0 G +0 g 0 G +BT +/F16 11.9552 Tf 150.705 706.129 Td [(psb)]TJ ET q -1 0 0 1 387.532 213.305 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +1 0 0 1 171.761 706.328 cm +[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q BT -/F30 9.9626 Tf 390.67 213.106 Td [(type)]TJ +/F16 11.9552 Tf 175.796 706.129 Td [(cdins)-375(|)-375(Comm)31(unication)-375(descriptor)-375(insert)-375(routine)]TJ 0 g 0 G -/F8 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -260.887 -21.484 Td [(info)]TJ +/F30 9.9626 Tf -25.091 -18.389 Td [(call)-525(psb_cdins\050nz,)-525(ia,)-525(ja,)-525(desc_a,)-525(info)-525([,ila,jla]\051)]TJ 0 -11.956 Td [(call)-525(psb_cdins\050nz,ja,desc,info[,jla,mask,lidx]\051)]TJ/F8 9.9626 Tf 14.944 -20.465 Td [(This)-428(subroutine)-427(examines)-428(the)-428(edges)-428(of)-428(the)-427(graph)-428(asso)-28(ciated)-428(with)-428(t)1(he)-428(dis-)]TJ -14.944 -11.955 Td [(cretization)-481(mesh)-480(\050and)-481(isomorphic)-480(to)-481(the)-480(sparsit)27(y)-480(pattern)-481(of)-480(a)-481(lin)1(e)-1(ar)-480(system)]TJ 0 -11.955 Td [(co)-28(e\016cien)28(t)-359(matrix\051,)-366(storing)-359(them)-359(as)-359(necess)-1(ar)1(y)-360(in)28(to)-359(the)-359(comm)28(unication)-359(des)-1(crip)1(-)]TJ 0 -11.955 Td 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+ [-500(This)-305(r)1(o)-1(u)1(tine)-305(automatically)-304(ignores)-305(edges)-305(that)-304(do)-305(not)-304(insist)-305(on)-304(the)-305(curren)28(t)]TJ 12.73 -11.955 Td [(pro)-28(cess,)-284(i.e)-1(.)-424(edges)-272(for)-273(whic)28(h)-272(neither)-273(the)-272(starting)-272(nor)-273(the)-272(end)-273(v)28(ertex)-272(b)-28(elong)]TJ 0 -11.955 Td [(to)-333(the)-334(curren)28(t)-333(pro)-28(cess.)]TJ +0 g 0 G + -12.73 -19.926 Td [(3.)]TJ +0 g 0 G + [-500(The)-437(second)-438(form)-437(of)-437(this)-437(routine)-437(will)-438(b)-27(e)-438(useful)-437(when)-437(dealing)-437(with)-438(user-)]TJ 12.73 -11.955 Td [(sp)-28(eci\014ed)-333(index)-333(mappings;)-334(see)-333(also)]TJ +0 0 1 rg 0 0 1 RG + [-334(2.)1(3.1)]TJ +0 g 0 G + [(.)]TJ +0 g 0 G + 141.968 -314.819 Td [(69)]TJ 0 g 0 G ET endstream endobj -1316 0 obj +1327 0 obj << -/Length 4890 +/Length 4747 >> stream 0 g 0 G @@ -14767,10 +14562,10 @@ q []0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q BT -/F16 11.9552 Tf 175.796 706.129 Td [(spall)-375(|)-375(Allo)-31(cates)-375(a)-375(sparse)-375(matrix)]TJ +/F16 11.9552 Tf 175.796 706.129 Td [(cdasb)-375(|)-375(Comm)31(unication)-375(descriptor)-375(assem)31(bly)-375(routine)]TJ 0 g 0 G 0 g 0 G -/F30 9.9626 Tf -25.091 -18.389 Td [(call)-525(psb_spall\050a,)-525(desc_a,)-525(info,)-525(nnz\051)]TJ +/F30 9.9626 Tf -25.091 -18.389 Td [(call)-525(psb_cdasb\050desc_a,)-525(info)-525([,)-525(mold]\051)]TJ 0 g 0 G /F27 9.9626 Tf 0 -21.918 Td [(T)32(yp)-32(e:)]TJ 0 g 0 G @@ -14788,7 +14583,7 @@ Q BT /F27 9.9626 Tf 176.057 625.971 Td [(a)]TJ 0 g 0 G -/F8 9.9626 Tf 10.55 0 Td [(the)-333(comm)27(unication)-333(descriptor.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.184 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ +/F8 9.9626 Tf 10.55 0 Td [(the)-333(comm)27(unication)-333(descriptor.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.184 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG /F30 9.9626 Tf 170.915 0 Td [(psb)]TJ ET @@ -14808,60 +14603,87 @@ BT 0 g 0 G /F8 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -260.887 -19.925 Td [(nnz)]TJ +/F27 9.9626 Tf -260.887 -19.925 Td [(mold)]TJ 0 g 0 G -/F8 9.9626 Tf 22.803 0 Td [(An)-309(estimate)-309(of)-308(the)-309(n)28(um)27(b)-27(er)-309(of)-309(nonzero)-28(es)-308(in)-309(the)-309(lo)-28(cal)-308(part)-309(of)-309(the)-309(assem)28(bled)]TJ 2.103 -11.955 Td [(matrix.)]TJ 0 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf 29.756 0 Td [(.)]TJ -62.135 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(optional)]TJ/F8 9.9626 Tf 40.576 0 Td [(.)]TJ -70.188 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(v)55(alue.)]TJ +/F8 9.9626 Tf 29.805 0 Td [(The)-333(desired)-334(dynamic)-333(t)28(yp)-28(e)-333(for)-334(th)1(e)-334(in)28(ternal)-333(index)-334(storage.)]TJ -4.899 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -55.452 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(optional)]TJ/F8 9.9626 Tf 40.576 0 Td [(.)]TJ -70.188 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.956 Td [(Sp)-28(eci\014ed)-222(as:)-389(a)-222(ob)-56(ject)-222(of)-222(t)28(yp)-28(e)-222(deriv)28(e)-1(d)-222(from)-222(\050in)28(teger\051)]TJ/F30 9.9626 Tf 219.871 0 Td [(psb)]TJ +ET +q +1 0 0 1 411.8 510.604 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 414.939 510.405 Td [(T)]TJ +ET +q +1 0 0 1 420.797 510.604 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 423.935 510.405 Td [(base)]TJ +ET +q +1 0 0 1 445.484 510.604 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 448.622 510.405 Td [(vect)]TJ +ET +q +1 0 0 1 470.171 510.604 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 473.309 510.405 Td [(type)]TJ/F8 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -24.906 -21.918 Td [(On)-383(Return)]TJ +/F27 9.9626 Tf -343.526 -21.918 Td [(On)-383(Return)]TJ 0 g 0 G 0 g 0 G - 0 -19.925 Td [(a)]TJ + 0 -19.926 Td [(desc)]TJ +ET +q +1 0 0 1 172.619 468.761 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +Q +BT +/F27 9.9626 Tf 176.057 468.561 Td [(a)]TJ 0 g 0 G -/F8 9.9626 Tf 10.55 0 Td [(the)-333(matrix)-334(to)-333(b)-28(e)-333(allo)-28(cated.)]TJ 14.356 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -27.951 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.184 0 Td [(required)]TJ/F8 9.9626 Tf -25.184 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ +/F8 9.9626 Tf 10.55 0 Td [(the)-333(comm)27(unication)-333(descriptor.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.184 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG /F30 9.9626 Tf 170.915 0 Td [(psb)]TJ ET q -1 0 0 1 362.845 408.985 cm +1 0 0 1 362.845 420.94 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 365.983 408.786 Td [(Tspmat)]TJ +/F30 9.9626 Tf 365.983 420.741 Td [(desc)]TJ ET q -1 0 0 1 397.993 408.985 cm +1 0 0 1 387.532 420.94 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 401.131 408.786 Td [(type)]TJ +/F30 9.9626 Tf 390.67 420.741 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.921 0 Td [(.)]TJ +/F8 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -271.347 -19.926 Td [(info)]TJ +/F27 9.9626 Tf -260.887 -19.926 Td [(info)]TJ 0 g 0 G /F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.148 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)27(t)1(e)-1(ger)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detec)-1(ted.)]TJ/F16 11.9552 Tf -24.906 -21.918 Td [(Notes)]TJ 0 g 0 G /F8 9.9626 Tf 12.176 -19.925 Td [(1.)]TJ 0 g 0 G - [-500(On)-333(exit)-334(from)-333(this)-333(routine)-333(the)-334(sparse)-333(matrix)-334(i)1(s)-334(in)-333(the)-333(build)-334(state.)]TJ -0 g 0 G - 0 -19.926 Td [(2.)]TJ -0 g 0 G - [-500(The)-333(descriptor)-334(ma)28(y)-333(b)-28(e)-333(in)-334(either)-333(the)-333(build)-333(or)-334(assem)28(bled)-333(s)-1(tat)1(e)-1(.)]TJ -0 g 0 G - 0 -19.925 Td [(3.)]TJ -0 g 0 G - [-500(Pro)28(viding)-307(a)-308(go)-27(o)-28(d)-307(e)-1(stimate)-307(for)-307(the)-307(n)27(um)28(b)-28(er)-307(of)-307(nonzero)-28(es)]TJ/F11 9.9626 Tf 254.288 0 Td [(nnz)]TJ/F8 9.9626 Tf 20.093 0 Td [(in)-307(the)-308(assem-)]TJ -261.651 -11.955 Td [(bled)-402(matrix)-401(ma)28(y)-402(substan)28(tially)-401(impro)27(v)28(e)-401(p)-28(erformance)-402(in)-401(the)-402(matrix)-401(build)]TJ 0 -11.955 Td [(phase,)-458(as)-433(it)-432(will)-433(reduce)-433(or)-433(eliminate)-433(the)-433(need)-432(for)-433(\050p)-28(oten)28(tially)-433(m)28(ultiple\051)]TJ 0 -11.956 Td [(data)-333(reallo)-28(cations.)]TJ + [-500(On)-333(exit)-334(from)-333(this)-333(routine)-333(the)-334(descriptor)-333(is)-333(in)-334(the)-333(assem)28(bled)-334(state.)]TJ 0 g 0 G - 141.968 -133.042 Td [(72)]TJ + 154.698 -220.714 Td [(70)]TJ 0 g 0 G ET endstream endobj -1326 0 obj +1334 0 obj << -/Length 6436 +/Length 3277 >> stream 0 g 0 G @@ -14874,769 +14696,776 @@ q []0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q BT -/F16 11.9552 Tf 124.986 706.129 Td [(spins)-306(|)-307(Insert)-306(a)-306(cloud)-306(of)-307(elemen)32(ts)-307(in)32(to)-307(a)-306(sparse)-306(matrix)]TJ +/F16 11.9552 Tf 124.986 706.129 Td [(cdcp)31(y)-375(|)-375(Copies)-375(a)-375(comm)31(unication)-375(descriptor)]TJ 0 g 0 G 0 g 0 G -/F30 9.9626 Tf -25.091 -18.647 Td [(call)-525(psb_spins\050nz,)-525(ia,)-525(ja,)-525(val,)-525(a,)-525(desc_a,)-525(info)-525([,local]\051)]TJ +/F30 9.9626 Tf -25.091 -18.389 Td [(call)-525(psb_cdcpy\050desc_in,)-525(desc_out,)-525(info\051)]TJ 0 g 0 G -/F27 9.9626 Tf 0 -22.334 Td [(T)32(yp)-32(e:)]TJ +/F27 9.9626 Tf 0 -21.918 Td [(T)32(yp)-32(e:)]TJ 0 g 0 G /F8 9.9626 Tf 33.797 0 Td [(Async)28(hronous.)]TJ 0 g 0 G -/F27 9.9626 Tf -33.797 -20.479 Td [(On)-383(En)32(try)]TJ -0 g 0 G -0 g 0 G - 0 -20.479 Td [(nz)]TJ -0 g 0 G -/F8 9.9626 Tf 16.439 0 Td [(the)-333(n)28(um)27(b)-27(er)-334(of)-333(elemen)28(ts)-334(to)-333(b)-28(e)-333(inserted.)]TJ 8.468 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.899 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(scalar.)]TJ -0 g 0 G -/F27 9.9626 Tf -24.907 -20.479 Td [(ia)]TJ -0 g 0 G -/F8 9.9626 Tf 13.734 0 Td [(the)-333(ro)28(w)-334(indices)-333(of)-333(the)-334(elemen)28(ts)-334(to)-333(b)-28(e)-333(inserted.)]TJ 11.173 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.899 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(arra)27(y)-333(of)-333(size)]TJ/F11 9.9626 Tf 160.98 0 Td [(nz)]TJ/F8 9.9626 Tf 11.051 0 Td [(.)]TJ -0 g 0 G -/F27 9.9626 Tf -196.938 -20.479 Td [(ja)]TJ -0 g 0 G -/F8 9.9626 Tf 14.052 0 Td [(the)-333(column)-334(indices)-333(of)-333(the)-334(elemen)28(ts)-333(to)-334(b)-27(e)-334(inserted.)]TJ 10.855 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.899 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(arra)27(y)-333(of)-333(size)]TJ/F11 9.9626 Tf 160.98 0 Td [(nz)]TJ/F8 9.9626 Tf 11.051 0 Td [(.)]TJ -0 g 0 G -/F27 9.9626 Tf -196.938 -20.479 Td [(v)64(al)]TJ +/F27 9.9626 Tf -33.797 -19.926 Td [(On)-383(En)32(try)]TJ 0 g 0 G -/F8 9.9626 Tf 19.144 0 Td [(the)-333(elemen)27(ts)-333(to)-333(b)-28(e)-333(inserted.)]TJ 5.763 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.899 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-375(as:)-528(an)-375(arra)28(y)-375(of)-375(size)]TJ/F11 9.9626 Tf 130.933 0 Td [(nz)]TJ/F8 9.9626 Tf 11.051 0 Td [(.)-570(Must)-375(b)-28(e)-375(of)-375(the)-375(same)-375(t)28(yp)-28(e)-375(and)-375(kind)-375(of)]TJ -141.984 -11.955 Td [(the)-333(co)-28(e\016cien)28(ts)-334(of)-333(the)-333(s)-1(p)1(ars)-1(e)-333(matrix)]TJ/F11 9.9626 Tf 158.517 0 Td [(a)]TJ/F8 9.9626 Tf 5.266 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -188.69 -20.479 Td [(desc)]TJ + 0 -19.925 Td [(desc)]TJ ET q -1 0 0 1 121.81 339.234 cm +1 0 0 1 121.81 626.17 cm []0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F27 9.9626 Tf 125.247 339.035 Td [(a)]TJ +/F27 9.9626 Tf 125.247 625.971 Td [(in)]TJ 0 g 0 G -/F8 9.9626 Tf 10.551 0 Td [(The)-333(comm)27(unication)-333(descriptor.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 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Td [(psb)]TJ ET q -1 0 0 1 278.467 291.413 cm +1 0 0 1 312.036 578.35 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 281.605 291.214 Td [(desc)]TJ +/F30 9.9626 Tf 315.174 578.15 Td [(desc)]TJ ET q -1 0 0 1 303.154 291.413 cm +1 0 0 1 336.723 578.35 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 306.292 291.214 Td [(type)]TJ -0 g 0 G -/F8 9.9626 Tf 20.922 0 Td [(.)]TJ -0 g 0 G -/F27 9.9626 Tf -227.319 -32.434 Td [(lo)-32(cal)]TJ +/F30 9.9626 Tf 339.861 578.15 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 28.055 0 Td [(Whether)-465(the)-464(en)27(tr)1(ie)-1(s)-464(in)-465(the)-465(in)1(dice)-1(s)-464(v)28(ec)-1(tor)1(s)]TJ/F30 9.9626 Tf 194.825 0 Td [(ia)]TJ/F8 9.9626 Tf 10.461 0 Td [(,)]TJ/F30 9.9626 Tf 7.724 0 Td [(ja)]TJ/F8 9.9626 Tf 15.09 0 Td [(are)-465(already)-464(in)-465(lo)-28(cal)]TJ -231.248 -11.956 Td [(n)28(um)28(b)-28(ering.)]TJ 0 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td 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-21.918 Td [(On)-383(Return)]TJ -0 g 0 G -0 g 0 G - 0 -19.925 Td [(info)]TJ -0 g 0 G -/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.149 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.378 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.034 -11.955 Td [(An)-333(in)28(teger)-334(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detected.)]TJ/F16 11.9552 Tf -24.907 -21.918 Td [(Notes)]TJ -0 g 0 G -/F8 9.9626 Tf 12.176 -19.925 Td [(1.)]TJ -0 g 0 G - [-500(On)-333(exit)-334(from)-333(this)-333(routine)-334(t)1(he)-334(sparse)-333(matrix)-334(is)-333(in)-333(the)-333(up)-28(date)-334(state.)]TJ +/F8 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G - 154.698 -206.766 Td [(78)]TJ + -104.473 -29.888 Td [(76)]TJ 0 g 0 G ET endstream endobj -1376 0 obj +1373 0 obj << -/Length 5107 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[(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detecte)-1(d)1(.)]TJ/F16 11.9552 Tf -24.907 -21.918 Td [(Notes)]TJ 0 g 0 G -/F27 9.9626 Tf -33.797 -19.926 Td [(On)-383(En)32(try)]TJ +/F8 9.9626 Tf 12.177 -19.925 Td [(1.)]TJ 0 g 0 G + [-500(On)-487(en)28(try)-487(to)-488(this)-487(routine)-487(the)-487(descriptor)-487(ma)28(y)-488(b)-27(e)-488(in)-487(either)-487(the)-487(build)-487(or)]TJ 12.73 -11.955 Td [(assem)28(bled)-334(state.)]TJ 0 g 0 G - 0 -19.925 Td [(desc)]TJ -ET -q -1 0 0 1 121.81 626.17 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S -Q -BT -/F27 9.9626 Tf 125.247 625.971 Td [(a)]TJ + -12.73 -19.925 Td [(2.)]TJ 0 g 0 G -/F8 9.9626 Tf 10.551 0 Td [(The)-333(comm)27(unication)-333(descriptor.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(v)56(ariable)-334(of)-333(t)28(yp)-28(e)]TJ -0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 137.346 0 Td [(psb)]TJ -ET -q -1 0 0 1 278.467 578.35 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 281.605 578.15 Td [(desc)]TJ -ET -q -1 0 0 1 303.154 578.35 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 306.292 578.15 Td [(type)]TJ + [-500(On)-363(en)28(try)-362(to)-363(this)-363(routine)-362(the)-363(sparse)-363(matrix)-363(ma)28(y)-363(b)-27(e)-363(in)-363(either)-362(the)-363(build)-363(or)]TJ 12.73 -11.956 Td [(up)-28(date)-333(state.)]TJ 0 g 0 G -/F8 9.9626 Tf 20.922 0 Td [(.)]TJ + -12.73 -19.925 Td [(3.)]TJ 0 g 0 G -/F27 9.9626 Tf -227.319 -31.88 Td [(n)]TJ + [-500(If)-230(the)-231(descriptor)-230(is)-231(in)-230(the)-231(build)-230(state,)-251(then)-231(the)-230(sparse)-231(matrix)-230(m)28(ust)-231(also)-230(b)-28(e)-231(in)]TJ 12.73 -11.955 Td [(the)-327(build)-327(state;)-329(the)-328(action)-327(of)-327(the)-327(routine)-327(is)-327(to)-327(\050implicitly\051)-327(call)]TJ/F30 9.9626 Tf 271.731 0 Td [(psb_cdins)]TJ/F8 9.9626 Tf -271.731 -11.955 Td [(to)-419(add)-419(en)28(tries)-419(to)-419(th)1(e)-419(sparsit)27(y)-418(pattern;)-462(eac)28(h)-419(sparse)-419(matrix)-419(en)28(try)-419(implic-)]TJ 0 -11.955 Td [(itly)-359(de\014nes)-360(a)-360(grap)1(h)-360(edge,)-366(that)-360(is)-359(passed)-360(to)-359(the)-360(descriptor)-359(routine)-360(for)-359(the)]TJ 0 -11.956 Td [(appropriate)-333(pro)-28(cessing;)]TJ 0 g 0 G -/F8 9.9626 Tf 11.347 0 Td [(The)-333(n)27(u)1(m)27(b)-27(e)-1(r)-333(of)-333(columns)-333(of)-334(the)-333(dense)-333(m)-1(atr)1(ix)-334(to)-333(b)-28(e)-333(allo)-28(cated.)]TJ 13.56 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-343(as:)-463(In)27(teger)-343(scalar,)-345(default)-343(1.)-473(It)-343(is)-343(not)-343(a)-343(v)56(alid)-343(argumen)28(t)-343(if)]TJ/F11 9.9626 Tf 294.599 0 Td [(x)]TJ/F8 9.9626 Tf 9.11 0 Td [(is)-343(a)]TJ -303.709 -11.955 Td [(rank-1)-333(arra)28(y)83(.)]TJ + -12.73 -19.925 Td [(4.)]TJ 0 g 0 G -/F27 9.9626 Tf -24.907 -19.925 Td [(lb)]TJ + [-500(The)-540(co)-28(e\016cien)28(ts)-541(to)-540(b)-28(e)-540(inserted)-540(are)-541(represen)28(ted)-540(b)28(y)-541(the)-540(ordered)-540(triples)]TJ/F11 9.9626 Tf 12.73 -11.955 Td [(ia)]TJ/F8 9.9626 Tf 8.698 0 Td [(\050)]TJ/F11 9.9626 Tf 3.875 0 Td [(i)]TJ/F8 9.9626 Tf 3.432 0 Td [(\051)]TJ/F11 9.9626 Tf 3.874 0 Td [(;)-167(j)-57(a)]TJ/F8 9.9626 Tf 14.367 0 Td [(\050)]TJ/F11 9.9626 Tf 3.875 0 Td [(i)]TJ/F8 9.9626 Tf 3.432 0 Td [(\051)]TJ/F11 9.9626 Tf 3.874 0 Td [(;)-167(v)-36(al)]TJ/F8 9.9626 Tf 18.049 0 Td [(\050)]TJ/F11 9.9626 Tf 3.875 0 Td [(i)]TJ/F8 9.9626 Tf 3.432 0 Td [(\051,)-503(for)]TJ/F11 9.9626 Tf 28.256 0 Td [(i)]TJ/F8 9.9626 Tf 8.455 0 Td [(=)-504(1)]TJ/F11 9.9626 Tf 17.753 0 Td [(;)-167(:)-166(:)-167(:)-167(;)-166(nz)]TJ/F8 9.9626 Tf 33.19 0 Td [(;)-537(these)-469(triples)-469(s)-1(h)1(ould)-470(b)-27(elong)-469(to)-470(the)]TJ -158.437 -11.955 Td [(curren)28(t)-351(pro)-28(cess,)-356(i.e.)]TJ/F11 9.9626 Tf 90.238 0 Td [(ia)]TJ/F8 9.9626 Tf 8.698 0 Td [(\050)]TJ/F11 9.9626 Tf 3.875 0 Td [(i)]TJ/F8 9.9626 Tf 3.432 0 Td [(\051)-351(should)-351(b)-28(e)-351(one)-351(of)-352(the)-351(lo)-28(cal)-351(indices,)-355(but)-352(ar)1(e)-352(oth-)]TJ -106.243 -11.955 Td [(erwise)-333(arbitrary;)]TJ 0 g 0 G -/F8 9.9626 Tf 14.529 0 Td [(The)-489(lo)28(w)27(er)-489(b)-27(ound)-489(for)-489(the)-490(column)-489(index)-489(range)-489(of)-489(the)-489(dense)-489(matrix)-489(to)-489(b)-28(e)]TJ 10.378 -11.955 Td [(allo)-28(cated.)]TJ 0 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-343(as:)-463(In)27(teger)-343(scalar,)-345(default)-343(1.)-473(It)-343(is)-343(not)-343(a)-343(v)56(alid)-343(argumen)28(t)-343(if)]TJ/F11 9.9626 Tf 294.599 0 Td [(x)]TJ/F8 9.9626 Tf 9.11 0 Td [(is)-343(a)]TJ -303.709 -11.955 Td [(rank-1)-333(arra)28(y)83(.)]TJ + -12.73 -19.926 Td [(5.)]TJ 0 g 0 G -/F27 9.9626 Tf -24.907 -21.918 Td [(On)-383(Return)]TJ + [-500(There)-386(is)-385(no)-386(requiremen)28(t)-386(that)-386(a)-385(giv)28(en)-386(ro)28(w)-386(m)28(ust)-386(b)-28(e)-385(passe)-1(d)-385(in)-386(its)-385(e)-1(n)28(tiret)28(y)]TJ 12.73 -11.955 Td [(to)-355(a)-354(single)-355(call)-354(to)-355(this)-354(routine:)-487(the)-355(buildup)-354(of)-355(a)-354(ro)28(w)-355(ma)28(y)-355(b)-28(e)-354(split)-355(in)28(to)-354(as)]TJ 0 -11.955 Td [(man)28(y)-334(calls)-333(as)-333(desired;)]TJ 0 g 0 G + -12.73 -19.925 Td [(6.)]TJ 0 g 0 G - 0 -19.925 Td [(x)]TJ + [-500(Co)-28(e\016cien)28(ts)-409(from)-410(di\013eren)28(t)-409(ro)28(ws)-410(ma)28(y)-409(also)-409(b)-28(e)-409(mixed)-410(up)-409(freely)-409(in)-409(a)-410(single)]TJ 12.73 -11.956 Td [(call,)-333(according)-334(to)-333(the)-333(application)-333(nee)-1(d)1(s)-1(;)]TJ 0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(The)-333(dense)-334(matrix)-333(to)-333(b)-28(e)-334(all)1(o)-28(cated.)]TJ 13.879 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(Sp)-28(eci\014ed)-303(as:)-430(a)-304(rank)-303(one)-304(or)-304(t)28(w)28(o)-304(arra)28(y)-304(with)-303(the)-304(ALLOCA)83(T)83(ABLE)-303(attribute)]TJ 0 -11.955 Td [(or)-333(an)-334(ob)-55(ject)-333(of)-334(t)28(yp)-28(e)]TJ -0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 89.968 0 Td [(psb)]TJ -ET -q -1 0 0 1 231.089 293.418 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 234.227 293.219 Td [(T)]TJ -ET -q -1 0 0 1 240.085 293.418 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 243.223 293.219 Td [(vect)]TJ -ET -q -1 0 0 1 264.772 293.418 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 267.911 293.219 Td [(type)]TJ + -12.73 -19.925 Td [(7.)]TJ 0 g 0 G -/F8 9.9626 Tf 20.921 0 Td [(,)-333(of)-334(t)28(yp)-28(e)-333(real,)-333(complex)-334(or)-333(in)28(teger.)]TJ + [-500(An)28(y)-416(co)-28(e\016cien)28(ts)-416(from)-416(matrix)-416(ro)28(ws)-416(not)-416(o)28(wned)-416(b)28(y)-416(the)-416(calling)-416(pro)-28(cess)-416(are)]TJ 12.73 -11.955 Td [(silen)28(tly)-334(i)1(g)-1(n)1(ored;)]TJ +0 g 0 G + -12.73 -19.925 Td [(8.)]TJ 0 g 0 G -/F27 9.9626 Tf -188.937 -31.88 Td [(info)]TJ + [-500(If)-358(the)-359(descriptor)-358(is)-359(in)-358(the)-359(assem)28(bled)-359(state,)-364(then)-359(an)28(y)-359(en)28(tries)-358(in)-359(the)-358(sparse)]TJ 12.73 -11.955 Td [(matrix)-430(that)-429(w)27(ould)-429(generate)-430(additional)-430(comm)28(unication)-430(requiremen)28(ts)-430(are)]TJ 0 -11.956 Td [(ignored;)]TJ +0 g 0 G + -12.73 -19.925 Td [(9.)]TJ 0 g 0 G -/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.149 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detecte)-1(d)1(.)]TJ + [-500(If)-309(th)1(e)-309(matrix)-309(is)-308(in)-309(the)-308(up)-28(date)-309(state,)-313(an)28(y)-309(en)28(tries)-309(in)-308(p)-28(ositions)-309(that)-308(w)28(ere)-309(not)]TJ 12.73 -11.955 Td [(presen)28(t)-334(in)-333(the)-333(original)-333(matrix)-334(are)-333(ignored.)]TJ 0 g 0 G - 141.968 -123.08 Td [(79)]TJ + 141.968 -95.641 Td [(77)]TJ 0 g 0 G ET endstream endobj -1383 0 obj +1388 0 obj << -/Length 6841 +/Length 6648 >> stream 0 g 0 G @@ -16119,135 +15909,168 @@ q []0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q BT -/F16 11.9552 Tf 175.796 706.129 Td [(geins)-375(|)-375(Dense)-375(matrix)-375(insertion)-375(routine)]TJ -0 g 0 G -0 g 0 G -/F30 9.9626 Tf -25.091 -18.389 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 -/F27 9.9626 Tf 0 -20.681 Td [(T)32(yp)-32(e:)]TJ -0 g 0 G -/F8 9.9626 Tf 33.797 0 Td [(Async)28(hronous.)]TJ -0 g 0 G -/F27 9.9626 Tf -33.797 -19.43 Td [(On)-383(En)32(try)]TJ +/F16 11.9552 Tf 175.796 706.129 Td [(spasb)-375(|)-375(Sparse)-375(matrix)-375(assem)31(bly)-375(routine)]TJ 0 g 0 G 0 g 0 G - 0 -19.431 Td [(m)]TJ -0 g 0 G -/F8 9.9626 Tf 14.529 0 Td [(Num)28(b)-28(er)-333(of)-334(ro)28(ws)-333(in)]TJ/F11 9.9626 Tf 84.516 0 Td [(v)-36(al)]TJ/F8 9.9626 Tf 16.942 0 Td [(to)-333(b)-28(e)-333(inse)-1(r)1(te)-1(d)1(.)]TJ -91.081 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.184 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(v)55(alue.)]TJ +/F30 9.9626 Tf -25.091 -18.389 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 -/F27 9.9626 Tf -24.906 -19.431 Td [(irw)]TJ +/F27 9.9626 Tf 0 -21.202 Td [(T)32(yp)-32(e:)]TJ 0 g 0 G -/F8 9.9626 Tf 21.157 0 Td [(Indices)-444(of)-445(the)-444(ro)27(ws)-444(to)-445(b)-27(e)-445(inserted.)-778(Sp)-28(eci\014cally)84(,)-472(ro)27(w)]TJ/F11 9.9626 Tf 237.973 0 Td [(i)]TJ/F8 9.9626 Tf 7.861 0 Td [(of)]TJ/F11 9.9626 Tf 12.454 0 Td [(v)-36(al)]TJ/F8 9.9626 Tf 18.049 0 Td [(will)-444(b)-28(e)-445(in-)]TJ -272.588 -11.955 Td [(serted)-435(in)28(to)-436(th)1(e)-436(lo)-27(cal)-436(ro)28(w)-435(corresp)-28(onding)-435(to)-435(the)-435(global)-435(ro)28(w)-435(index)]TJ/F11 9.9626 Tf 289.252 0 Td [(ir)-28(w)]TJ/F8 9.9626 Tf 15.605 0 Td [(\050)]TJ/F11 9.9626 Tf 3.874 0 Td [(i)]TJ/F8 9.9626 Tf 3.432 0 Td [(\051.)]TJ -312.163 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.184 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(arra)27(y)84(.)]TJ +/F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ 0 g 0 G -/F27 9.9626 Tf -24.906 -19.43 Td [(v)64(al)]TJ +/F27 9.9626 Tf -33.797 -19.639 Td [(On)-383(En)32(try)]TJ 0 g 0 G -/F8 9.9626 Tf 19.143 0 Td [(the)-333(dense)-334(submatrix)-333(to)-333(b)-28(e)-333(inserted.)]TJ 5.763 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.184 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(rank)-333(1)-333(o)-1(r)-333(2)-333(arra)28(y)83(.)-444(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-334(v)56(alue.)]TJ 0 g 0 G -/F27 9.9626 Tf -24.906 -19.43 Td [(desc)]TJ + 0 -19.638 Td [(desc)]TJ ET q -1 0 0 1 172.619 414.689 cm +1 0 0 1 172.619 627.46 cm []0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F27 9.9626 Tf 176.057 414.49 Td [(a)]TJ +/F27 9.9626 Tf 176.057 627.261 Td [(a)]TJ 0 g 0 G -/F8 9.9626 Tf 10.55 0 Td [(the)-333(comm)27(unication)-333(descriptor.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.184 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ +/F8 9.9626 Tf 10.55 0 Td [(the)-333(comm)27(unication)-333(descriptor.)]TJ -10.996 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.184 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG /F30 9.9626 Tf 170.915 0 Td [(psb)]TJ ET q -1 0 0 1 362.845 366.869 cm +1 0 0 1 362.845 579.639 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 365.983 366.669 Td [(desc)]TJ +/F30 9.9626 Tf 365.983 579.44 Td [(desc)]TJ ET q -1 0 0 1 387.532 366.869 cm +1 0 0 1 387.532 579.639 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 390.67 366.669 Td [(type)]TJ +/F30 9.9626 Tf 390.67 579.44 Td [(type)]TJ 0 g 0 G /F8 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -260.887 -19.43 Td [(dupl)]TJ +/F27 9.9626 Tf -260.887 -19.639 Td [(afm)32(t)]TJ 0 g 0 G -/F8 9.9626 Tf 27.259 0 Td [(Ho)28(w)-334(to)-333(handle)-333(duplicate)-333(co)-28(e\016cien)27(ts.)]TJ -2.352 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(global)]TJ/F8 9.9626 Tf 29.756 0 Td [(.)]TJ -62.135 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(optional)]TJ/F8 9.9626 Tf 40.576 0 Td [(.)]TJ -70.188 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.956 Td [(Sp)-28(eci\014ed)-308(as:)-432(in)27(teger,)-313(p)-28(ossible)-309(v)56(alues:)]TJ/F30 9.9626 Tf 163.697 0 Td [(psb_dupl_ovwrt_)]TJ/F8 9.9626 Tf 78.455 0 Td [(,)]TJ/F30 9.9626 Tf 5.891 0 Td [(psb_dupl_add_)]TJ/F8 9.9626 Tf 67.995 0 Td [(.)]TJ +/F8 9.9626 Tf 27.736 0 Td [(the)-333(storage)-334(format)-333(for)-333(the)-334(sparse)-333(matrix.)]TJ -2.829 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -55.451 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -70.188 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-444(an)-334(arra)28(y)-333(of)-334(c)28(haracters.)-444(Defalt:)-445('CSR'.)]TJ 0 g 0 G -/F27 9.9626 Tf -340.944 -19.43 Td [(lo)-32(cal)]TJ +/F27 9.9626 Tf -24.907 -19.639 Td [(up)-32(d)]TJ 0 g 0 G -/F8 9.9626 Tf 28.054 0 Td [(Whether)-289(the)-289(en)28(tries)-289(in)-289(the)-289(index)-288(v)27(ector)]TJ/F30 9.9626 Tf 172.77 0 Td [(irw)]TJ/F8 9.9626 Tf 15.691 0 Td [(,)-298(are)-289(already)-289(in)-288(lo)-28(cal)-289(n)28(um)28(b)-28(er-)]TJ -191.608 -11.955 Td [(ing.)]TJ 0 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.95 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.184 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -65.76 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-444(a)-334(logical)-333(v)55(alue;)-333(default:)]TJ/F30 9.9626 Tf 163.055 0 Td [(.false.)]TJ/F8 9.9626 Tf 36.612 0 Td [(.)]TJ +/F8 9.9626 Tf 24.394 0 Td [(Pro)28(vide)-334(f)1(or)-334(up)-27(dates)-334(to)-333(the)-334(matri)1(x)-334(co)-28(e\016cien)28(ts.)]TJ 0.513 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(global)]TJ/F8 9.9626 Tf 29.756 0 Td [(.)]TJ -62.134 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -70.188 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-444(in)27(teger,)-333(p)-28(ossible)-333(v)55(alues:)]TJ/F30 9.9626 Tf 164.632 0 Td [(psb_upd_srch_)]TJ/F8 9.9626 Tf 67.995 0 Td [(,)]TJ/F30 9.9626 Tf 6.088 0 Td [(psb_upd_perm_)]TJ 0 g 0 G -/F27 9.9626 Tf -224.574 -20.68 Td [(On)-383(Return)]TJ +/F27 9.9626 Tf -263.622 -19.639 Td [(dupl)]TJ 0 g 0 G +/F8 9.9626 Tf 27.259 0 Td [(Ho)28(w)-334(to)-333(handle)-333(duplicate)-333(co)-28(e\016cien)27(ts.)]TJ -2.352 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(global)]TJ/F8 9.9626 Tf 29.757 0 Td [(.)]TJ -62.135 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -70.188 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-308(as:)-432(in)27(teger,)-313(p)-28(ossible)-309(v)56(alues:)]TJ/F30 9.9626 Tf 163.696 0 Td [(psb_dupl_ovwrt_)]TJ/F8 9.9626 Tf 78.455 0 Td [(,)]TJ/F30 9.9626 Tf 5.891 0 Td [(psb_dupl_add_)]TJ/F8 9.9626 Tf 67.995 0 Td [(,)]TJ/F30 9.9626 Tf -316.037 -11.955 Td [(psb_dupl_err_)]TJ/F8 9.9626 Tf 67.994 0 Td [(.)]TJ 0 g 0 G - 0 -19.43 Td [(x)]TJ +/F27 9.9626 Tf -92.901 -19.639 Td [(mold)]TJ 0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(the)-333(output)-334(d)1(e)-1(n)1(s)-1(e)-333(matrix.)]TJ 13.879 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.378 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(inout)]TJ/F8 9.9626 Tf 26.097 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-232(as:)-394(a)-233(rank)-233(one)-232(or)-233(t)28(w)28(o)-233(arra)28(y)-233(or)-232(an)-233(ob)-55(ject)-233(of)-233(t)28(yp)-27(e)]TJ -0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 241.975 0 Td [(psb)]TJ +/F8 9.9626 Tf 29.805 0 Td [(The)-333(desired)-334(dynamic)-333(t)28(yp)-28(e)-333(for)-334(the)-333(in)28(ternal)-333(matrix)-334(storage.)]TJ -4.898 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -55.451 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -70.188 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(ob)-55(ject)-334(of)-333(a)-333(class)-334(deriv)28(ed)-333(from)]TJ/F30 9.9626 Tf 203.349 0 Td [(psb)]TJ +ET +q +1 0 0 1 395.279 297.847 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 398.417 297.647 Td [(T)]TJ +ET +q +1 0 0 1 404.275 297.847 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 407.413 297.647 Td [(base)]TJ +ET +q +1 0 0 1 428.962 297.847 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 432.101 297.647 Td [(sparse)]TJ ET q -1 0 0 1 433.906 144.435 cm +1 0 0 1 464.11 297.847 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 437.044 144.236 Td [(T)]TJ +/F30 9.9626 Tf 467.248 297.647 Td [(mat)]TJ/F8 9.9626 Tf 15.691 0 Td [(.)]TJ +0 g 0 G +/F27 9.9626 Tf -332.234 -21.201 Td [(On)-383(Return)]TJ +0 g 0 G +0 g 0 G + 0 -19.639 Td [(a)]TJ +0 g 0 G +/F8 9.9626 Tf 10.551 0 Td [(the)-333(matrix)-334(to)-333(b)-28(e)-333(assem)28(bled.)]TJ 14.355 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -27.951 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.184 0 Td [(required)]TJ/F8 9.9626 Tf -25.184 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ +0 0 1 rg 0 0 1 RG +/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ ET q -1 0 0 1 442.902 144.435 cm +1 0 0 1 362.845 209.186 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 446.04 144.236 Td [(vect)]TJ +/F30 9.9626 Tf 365.983 208.986 Td [(Tspmat)]TJ ET q -1 0 0 1 467.589 144.435 cm +1 0 0 1 397.993 209.186 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 470.727 144.236 Td [(type)]TJ +/F30 9.9626 Tf 401.131 208.986 Td [(type)]TJ +0 g 0 G +/F8 9.9626 Tf 20.921 0 Td [(.)]TJ +0 g 0 G +/F27 9.9626 Tf -271.347 -19.638 Td [(info)]TJ 0 g 0 G -/F8 9.9626 Tf 20.922 0 Td [(,)]TJ -316.038 -11.955 Td [(of)-333(t)27(yp)-27(e)-334(real,)-333(complex)-333(or)-334(in)28(teger.)]TJ +/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.148 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)27(t)1(e)-1(ger)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detec)-1(ted.)]TJ/F16 11.9552 Tf -24.906 -21.201 Td [(Notes)]TJ 0 g 0 G - 141.968 -41.843 Td [(80)]TJ +/F8 9.9626 Tf 166.874 -29.888 Td [(78)]TJ 0 g 0 G ET endstream endobj -1387 0 obj +1392 0 obj << -/Length 1111 +/Length 2248 >> stream 0 g 0 G 0 g 0 G 0 g 0 G BT -/F27 9.9626 Tf 99.895 706.129 Td [(info)]TJ +/F8 9.9626 Tf 112.072 706.129 Td [(1.)]TJ 0 g 0 G -/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.149 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detecte)-1(d)1(.)]TJ/F16 11.9552 Tf -24.907 -21.918 Td [(Notes)]TJ + [-500(On)-406(en)28(try)-406(to)-406(this)-406(routine)-406(the)-406(descriptor)-406(m)28(ust)-406(b)-28(e)-406(in)-406(the)-406(assem)28(bled)-406(state)-1(,)]TJ 12.73 -11.955 Td [(i.e.)]TJ/F30 9.9626 Tf 17.158 0 Td [(psb_cdasb)]TJ/F8 9.9626 Tf 50.394 0 Td [(m)28(ust)-334(already)-333(ha)28(v)28(e)-334(b)-27(een)-334(called.)]TJ 0 g 0 G -/F8 9.9626 Tf 12.177 -19.925 Td [(1.)]TJ + -80.282 -19.926 Td [(2.)]TJ 0 g 0 G - [-500(Dense)-333(v)27(ectors/matrices)-333(do)-333(not)-334(ha)28(v)28(e)-334(an)-333(asso)-28(ciated)-333(state;)]TJ + [-500(The)-333(sparse)-334(matrix)-333(ma)28(y)-334(b)-27(e)-334(in)-333(either)-333(the)-334(build)-333(or)-333(up)-28(date)-333(state;)]TJ 0 g 0 G - 0 -19.925 Td [(2.)]TJ + 0 -19.925 Td [(3.)]TJ +0 g 0 G + [-500(Duplicate)-250(en)28(tries)-250(are)-249(detec)-1(ted)-249(and)-250(handled)-250(in)-249(b)-28(oth)-250(build)-249(and)-250(up)-28(date)-249(state,)]TJ 12.73 -11.955 Td [(with)-282(the)-283(exception)-282(of)-282(the)-283(error)-282(action)-282(that)-283(i)1(s)-283(only)-282(tak)28(en)-283(in)-282(the)-282(build)-282(s)-1(tate,)]TJ 0 -11.955 Td [(i.e.)-444(on)-334(the)-333(\014rst)-333(assem)27(bly;)]TJ +0 g 0 G + -12.73 -19.925 Td [(4.)]TJ +0 g 0 G + [-500(If)-224(the)-224(up)-28(d)1(ate)-224(c)27(hoice)-224(is)]TJ/F30 9.9626 Tf 107.516 0 Td [(psb_upd_perm_)]TJ/F8 9.9626 Tf 67.994 0 Td [(,)-246(then)-224(subsequen)28(t)-224(calls)-224(to)]TJ/F30 9.9626 Tf 108.951 0 Td [(psb_spins)]TJ/F8 9.9626 Tf -271.731 -11.956 Td [(to)-246(up)-28(date)-246(the)-246(matrix)-246(m)28(ust)-246(b)-28(e)-246(arranged)-246(in)-246(suc)28(h)-246(a)-246(w)28(a)27(y)-246(as)-246(to)-246(pro)-27(duce)-246(exactly)]TJ 0 -11.955 Td [(the)-228(same)-229(sequence)-228(of)-228(co)-28(e\016cien)28(t)-229(v)56(alues)-228(as)-229(encoun)28(tered)-228(at)-229(the)-228(\014rst)-228(assem)28(bly;)]TJ +0 g 0 G + -12.73 -19.925 Td [(5.)]TJ +0 g 0 G + [-500(The)-333(output)-334(storage)-333(format)-333(need)-334(not)-333(b)-28(e)-333(the)-333(same)-334(on)-333(all)-333(pro)-28(cesses;)]TJ +0 g 0 G + 0 -19.925 Td [(6.)]TJ 0 g 0 G - [-500(Duplicate)-292(en)28(tries)-293(are)-292(either)-292(o)28(v)28(erwritten)-292(or)-293(added,)-300(there)-292(is)-292(no)-292(pro)27(vision)-292(for)]TJ 12.73 -11.955 Td [(raising)-333(an)-334(error)-333(condition.)]TJ + [-500(On)-370(exit)-370(from)-370(this)-370(routine)-370(the)-370(matrix)-370(is)-370(in)-370(the)-370(assem)28(bled)-370(state,)-379(and)-370(th)27(us)]TJ 12.73 -11.956 Td [(is)-333(suitable)-334(for)-333(the)-333(computational)-334(r)1(outines.)]TJ 0 g 0 G - 141.968 -494.147 Td [(81)]TJ + 141.968 -444.333 Td [(79)]TJ 0 g 0 G ET endstream endobj -1396 0 obj +1405 0 obj << -/Length 5215 +/Length 3084 >> stream 0 g 0 G @@ -16260,10 +16083,10 @@ q []0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q BT -/F16 11.9552 Tf 175.796 706.129 Td [(geasb)-375(|)-375(Assem)31(bly)-375(a)-375(dense)-375(matrix)]TJ +/F16 11.9552 Tf 175.796 706.129 Td [(spfree)-375(|)-375(F)94(rees)-375(a)-375(sparse)-375(matrix)]TJ 0 g 0 G 0 g 0 G -/F30 9.9626 Tf -25.091 -18.389 Td [(call)-525(psb_geasb\050x,)-525(desc_a,)-525(info,)-525(mold\051)]TJ +/F30 9.9626 Tf -25.091 -18.389 Td [(call)-525(psb_spfree\050a,)-525(desc_a,)-525(info\051)]TJ 0 g 0 G /F27 9.9626 Tf 0 -21.918 Td [(T)32(yp)-32(e:)]TJ 0 g 0 G @@ -16272,137 +16095,73 @@ BT /F27 9.9626 Tf -33.797 -19.926 Td [(On)-383(En)32(try)]TJ 0 g 0 G 0 g 0 G - 0 -19.925 Td [(desc)]TJ -ET -q -1 0 0 1 172.619 626.17 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S -Q -BT -/F27 9.9626 Tf 176.057 625.971 Td [(a)]TJ + 0 -19.925 Td [(a)]TJ 0 g 0 G -/F8 9.9626 Tf 10.55 0 Td [(The)-333(comm)27(unication)-333(descriptor.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(v)56(ariable)-334(of)-333(t)28(yp)-28(e)]TJ +/F8 9.9626 Tf 10.551 0 Td [(the)-333(matrix)-334(to)-333(b)-28(e)-333(freed.)]TJ 14.356 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.95 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -27.95 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf -25.183 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(inout)]TJ/F8 9.9626 Tf 26.097 0 Td [(.)]TJ -59.582 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-444(a)-334(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 137.347 0 Td [(psb)]TJ +/F30 9.9626 Tf 170.914 0 Td [(psb)]TJ ET q -1 0 0 1 329.276 578.35 cm +1 0 0 1 362.845 578.35 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 332.415 578.15 Td [(desc)]TJ +/F30 9.9626 Tf 365.983 578.15 Td [(Tspmat)]TJ ET q -1 0 0 1 353.964 578.35 cm +1 0 0 1 397.993 578.35 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 357.102 578.15 Td [(type)]TJ +/F30 9.9626 Tf 401.131 578.15 Td [(type)]TJ 0 g 0 G /F8 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -227.318 -31.88 Td [(mold)]TJ -0 g 0 G -/F8 9.9626 Tf 29.805 0 Td [(The)-333(desired)-334(dynamic)-333(t)28(yp)-28(e)-333(for)-334(th)1(e)-334(in)28(ternal)-333(v)27(ector)-333(storage.)]TJ -4.899 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -55.452 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(optional)]TJ/F8 9.9626 Tf 40.576 0 Td [(.)]TJ -70.188 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.956 Td [(Sp)-28(eci\014ed)-273(as:)-414(an)-274(ob)-55(ject)-273(of)-274(a)-273(class)-273(deriv)28(ed)-274(from)]TJ/F30 9.9626 Tf 198.261 0 Td [(psb)]TJ -ET -q -1 0 0 1 390.19 498.649 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 393.329 498.449 Td [(T)]TJ -ET -q -1 0 0 1 399.186 498.649 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 402.325 498.449 Td [(base)]TJ -ET -q -1 0 0 1 423.874 498.649 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 427.012 498.449 Td [(vect)]TJ +/F27 9.9626 Tf -271.347 -19.925 Td [(desc)]TJ ET q -1 0 0 1 448.561 498.649 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +1 0 0 1 172.619 558.424 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F30 9.9626 Tf 451.699 498.449 Td [(type)]TJ/F8 9.9626 Tf 20.921 0 Td [(;)-293(this)]TJ -297.009 -11.955 Td [(is)-333(only)-334(allo)28(w)28(ed)-333(when)]TJ/F11 9.9626 Tf 93.317 0 Td [(x)]TJ/F8 9.9626 Tf 9.015 0 Td [(is)-333(of)-334(t)28(yp)-28(e)]TJ +/F27 9.9626 Tf 176.057 558.225 Td [(a)]TJ +0 g 0 G +/F8 9.9626 Tf 10.55 0 Td [(the)-333(comm)27(unication)-333(descriptor.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.184 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 43.78 0 Td [(psb)]TJ -ET -q -1 0 0 1 338.042 486.693 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 341.18 486.494 Td [(T)]TJ +/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ ET q -1 0 0 1 347.038 486.693 cm +1 0 0 1 362.845 510.604 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 350.177 486.494 Td [(vect)]TJ +/F30 9.9626 Tf 365.983 510.405 Td [(desc)]TJ ET q -1 0 0 1 371.725 486.693 cm +1 0 0 1 387.532 510.604 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 374.864 486.494 Td [(type)]TJ -0 g 0 G -/F8 9.9626 Tf 20.921 0 Td [(.)]TJ -0 g 0 G -/F27 9.9626 Tf -245.08 -21.918 Td [(On)-383(Return)]TJ +/F30 9.9626 Tf 390.67 510.405 Td [(type)]TJ 0 g 0 G +/F8 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G - 0 -19.925 Td [(x)]TJ -0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(The)-333(dense)-334(matrix)-333(to)-333(b)-28(e)-333(as)-1(sem)28(bled.)]TJ 13.878 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.956 Td [(Sp)-28(eci\014ed)-433(as:)-645(a)-433(rank)-433(one)-434(or)-433(t)28(w)28(o)-434(arra)28(y)-433(with)-433(the)-434(ALLOCA)84(T)83(ABLE)-433(or)-434(an)]TJ 0 -11.955 Td [(ob)-56(ject)-333(of)-333(t)28(yp)-28(e)]TJ -0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 63.927 0 Td [(psb)]TJ -ET -q -1 0 0 1 255.857 385.075 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 258.995 384.875 Td [(T)]TJ -ET -q -1 0 0 1 264.853 385.075 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 267.992 384.875 Td [(vect)]TJ -ET -q -1 0 0 1 289.541 385.075 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 292.679 384.875 Td [(type)]TJ +/F27 9.9626 Tf -260.887 -21.918 Td [(On)-383(Return)]TJ 0 g 0 G -/F8 9.9626 Tf 20.921 0 Td [(,)-333(of)-334(t)28(yp)-28(e)-333(real,)-333(complex)-334(or)-333(in)28(teger.)]TJ 0 g 0 G -/F27 9.9626 Tf -162.895 -31.88 Td [(info)]TJ + 0 -19.926 Td [(info)]TJ 0 g 0 G -/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.148 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)27(t)1(e)-1(ger)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detec)-1(ted.)]TJ +/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.148 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)27(t)1(e)-1(ger)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detec)-1(ted.)]TJ 0 g 0 G - 141.968 -214.736 Td [(82)]TJ + 141.968 -330.303 Td [(80)]TJ 0 g 0 G ET endstream endobj -1402 0 obj +1411 0 obj << -/Length 3378 +/Length 3991 >> stream 0 g 0 G @@ -16415,92 +16174,93 @@ q []0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q BT -/F16 11.9552 Tf 124.986 706.129 Td [(gefree)-375(|)-375(F)94(rees)-375(a)-375(dense)-375(matrix)]TJ +/F16 11.9552 Tf 124.986 706.129 Td [(sprn)-391(|)-391(Reinit)-391(sparse)-391(matrix)-391(structure)-391(for)-391(psblas)-391(rou-)]TJ -25.091 -13.948 Td [(tines.)]TJ 0 g 0 G 0 g 0 G -/F30 9.9626 Tf -25.091 -18.389 Td [(call)-525(psb_gefree\050x,)-525(desc_a,)-525(info\051)]TJ +/F30 9.9626 Tf 0 -18.389 Td [(call)-525(psb_sprn\050a,)-525(decsc_a,)-525(info,)-525(clear\051)]TJ 0 g 0 G /F27 9.9626 Tf 0 -21.918 Td [(T)32(yp)-32(e:)]TJ 0 g 0 G /F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ 0 g 0 G -/F27 9.9626 Tf -33.797 -19.926 Td [(On)-383(En)32(try)]TJ +/F27 9.9626 Tf -33.797 -19.925 Td [(On)-383(En)32(try)]TJ 0 g 0 G 0 g 0 G - 0 -19.925 Td [(x)]TJ + 0 -19.926 Td [(a)]TJ 0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(The)-333(dense)-334(matrix)-333(to)-333(b)-28(e)-334(f)1(re)-1(ed.)]TJ 13.879 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.956 Td [(Sp)-28(eci\014ed)-433(as:)-645(a)-433(rank)-433(one)-433(or)-434(t)28(w)28(o)-434(arra)28(y)-433(with)-433(the)-434(ALLOCA)84(T)83(ABLE)-433(or)-434(an)]TJ 0 -11.955 Td [(ob)-56(j)1(e)-1(ct)-333(of)-333(t)28(yp)-28(e)]TJ +/F8 9.9626 Tf 10.551 0 Td [(the)-333(matrix)-334(to)-333(b)-28(e)-333(reinitialized.)]TJ 14.356 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -27.951 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf -25.183 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 63.927 0 Td [(psb)]TJ -ET -q -1 0 0 1 205.048 566.395 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 208.186 566.195 Td [(T)]TJ +/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ ET q -1 0 0 1 214.044 566.395 cm +1 0 0 1 312.036 564.402 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 217.182 566.195 Td [(vect)]TJ +/F30 9.9626 Tf 315.174 564.203 Td [(Tspmat)]TJ ET q -1 0 0 1 238.731 566.395 cm +1 0 0 1 347.183 564.402 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 241.869 566.195 Td [(type)]TJ +/F30 9.9626 Tf 350.322 564.203 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.922 0 Td [(,)-333(of)-334(t)28(yp)-28(e)-333(real,)-333(complex)-334(or)-333(in)28(teger.)]TJ +/F8 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -162.896 -31.88 Td [(desc)]TJ +/F27 9.9626 Tf -271.348 -19.925 Td [(desc)]TJ ET q -1 0 0 1 121.81 534.514 cm +1 0 0 1 121.81 544.477 cm []0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F27 9.9626 Tf 125.247 534.315 Td [(a)]TJ +/F27 9.9626 Tf 125.247 544.278 Td [(a)]TJ 0 g 0 G -/F8 9.9626 Tf 10.551 0 Td [(The)-333(comm)27(unication)-333(descriptor.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(v)56(ariable)-334(of)-333(t)28(yp)-28(e)]TJ +/F8 9.9626 Tf 10.551 0 Td [(the)-333(comm)27(unication)-333(descriptor.)]TJ -10.996 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.899 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 137.346 0 Td [(psb)]TJ +/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ ET q -1 0 0 1 278.467 486.693 cm +1 0 0 1 312.036 496.656 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 281.605 486.494 Td [(desc)]TJ +/F30 9.9626 Tf 315.174 496.457 Td [(desc)]TJ ET q -1 0 0 1 303.154 486.693 cm +1 0 0 1 336.723 496.656 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 306.292 486.494 Td [(type)]TJ +/F30 9.9626 Tf 339.861 496.457 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.922 0 Td [(.)]TJ +/F8 9.9626 Tf 20.921 0 Td [(.)]TJ +0 g 0 G +/F27 9.9626 Tf -260.887 -19.925 Td [(clear)]TJ 0 g 0 G -/F27 9.9626 Tf -227.319 -33.873 Td [(On)-383(Return)]TJ +/F8 9.9626 Tf 28.795 0 Td [(Cho)-28(ose)-333(whether)-334(to)-333(zero)-333(out)-334(matrix)-333(co)-28(e\016cien)28(ts)]TJ -3.888 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -65.76 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Default:)-444(true.)]TJ +0 g 0 G +/F27 9.9626 Tf -24.907 -21.918 Td [(On)-383(Return)]TJ 0 g 0 G 0 g 0 G 0 -19.925 Td [(info)]TJ 0 g 0 G -/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.149 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detecte)-1(d)1(.)]TJ +/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.149 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detecte)-1(d)1(.)]TJ/F16 11.9552 Tf -24.907 -21.918 Td [(Notes)]TJ +0 g 0 G +/F8 9.9626 Tf 12.177 -19.925 Td [(1.)]TJ +0 g 0 G + [-500(On)-333(exit)-334(from)-333(this)-333(routine)-333(the)-334(sparse)-333(matrix)-333(is)-334(in)-333(the)-333(up)-28(date)-333(s)-1(tat)1(e)-1(.)]TJ 0 g 0 G - 141.968 -294.437 Td [(83)]TJ + 154.698 -206.766 Td [(81)]TJ 0 g 0 G ET endstream endobj -1406 0 obj +1418 0 obj << -/Length 3438 +/Length 5111 >> stream 0 g 0 G @@ -16513,46 +16273,100 @@ q []0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q BT -/F16 11.9552 Tf 175.796 706.129 Td [(gelp)-375(|)-375(Applies)-375(a)-375(left)-375(p)-31(erm)31(utation)-375(to)-375(a)-375(dense)-375(matrix)]TJ +/F16 11.9552 Tf 175.796 706.129 Td [(geall)-375(|)-375(Allo)-31(cates)-375(a)-375(dense)-375(matrix)]TJ 0 g 0 G 0 g 0 G -/F30 9.9626 Tf -25.091 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9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ +/F8 9.9626 Tf 10.551 0 Td [(the)-333(comm)27(unication)-333(descriptor.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.899 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG /F30 9.9626 Tf 170.915 0 Td [(psb)]TJ ET q -1 0 0 1 312.036 488.27 cm +1 0 0 1 312.036 366.869 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 315.174 488.07 Td [(desc)]TJ +/F30 9.9626 Tf 315.174 366.669 Td [(desc)]TJ ET q -1 0 0 1 336.723 488.27 cm +1 0 0 1 336.723 366.869 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 339.861 488.07 Td [(type)]TJ +/F30 9.9626 Tf 339.861 366.669 Td [(type)]TJ 0 g 0 G /F8 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -260.887 -19.638 Td [(iact)]TJ -0 g 0 G -/F8 9.9626 Tf 23.281 0 Td [(sp)-28(eci\014es)-333(action)-334(to)-333(b)-28(e)-333(tak)28(en)-334(in)-333(case)-333(of)-334(range)-333(errors.)-444(Scop)-28(e:)]TJ/F27 9.9626 Tf 257.147 0 Td [(global)]TJ/F8 9.9626 Tf -255.521 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-255(as:)-405(a)-256(c)28(haracter)-255(v)56(ariable)]TJ/F30 9.9626 Tf 143.584 0 Td [(I)]TJ/F8 9.9626 Tf 5.23 0 Td [(gnore,)]TJ/F30 9.9626 Tf 29.293 0 Td [(W)]TJ/F8 9.9626 Tf 5.23 0 Td [(arning)-255(or)]TJ/F30 9.9626 Tf 41.67 0 Td [(A)]TJ/F8 9.9626 Tf 5.231 0 Td [(b)-28(ort,)-270(default)]TJ/F30 9.9626 Tf 56.741 0 Td [(I)]TJ/F8 9.9626 Tf 5.231 0 Td [(gnore.)]TJ -0 g 0 G -/F27 9.9626 Tf -317.117 -19.639 Td [(o)32(wned)]TJ -0 g 0 G -/F8 9.9626 Tf 36.647 0 Td [(Sp)-28(ec\014es)-333(v)55(alid)-333(range)-333(of)-334(i)1(nput)-334(Scop)-27(e:)]TJ/F27 9.9626 Tf 158.933 0 Td [(global)]TJ/F8 9.9626 Tf -170.673 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(If)-294(true,)-302(then)-294(only)-295(indices)-294(strictly)-294(o)28(wned)-295(b)28(y)-294(the)-294(curren)28(t)-295(pro)-27(ces)-1(s)-294(are)-294(consid-)]TJ 0 -11.955 Td [(ered)-333(v)55(alid,)-333(if)-333(false)-334(then)-333(halo)-333(indices)-334(are)-333(also)-333(accepted.)-445(Default:)-444(false.)]TJ +/F27 9.9626 Tf -260.887 -19.43 Td [(dupl)]TJ 0 g 0 G -/F27 9.9626 Tf -24.907 -21.202 Td [(On)-383(Return)]TJ +/F8 9.9626 Tf 27.259 0 Td [(Ho)28(w)-334(to)-333(handle)-333(duplicate)-333(co)-28(e\016cien)27(ts.)]TJ -2.352 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf 29.756 0 Td [(.)]TJ -62.135 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -70.188 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-308(as:)-432(in)27(teger,)-313(p)-28(ossible)-309(v)56(alues:)]TJ/F30 9.9626 Tf 163.696 0 Td [(psb_dupl_ovwrt_)]TJ/F8 9.9626 Tf 78.456 0 Td [(,)]TJ/F30 9.9626 Tf 5.891 0 Td [(psb_dupl_add_)]TJ/F8 9.9626 Tf 67.994 0 Td [(.)]TJ 0 g 0 G +/F27 9.9626 Tf -340.944 -19.43 Td [(lo)-32(cal)]TJ 0 g 0 G - 0 -19.639 Td [(x)]TJ +/F8 9.9626 Tf 28.055 0 Td [(Whether)-289(the)-289(en)28(tries)-289(in)-289(the)-289(index)-288(v)27(ector)]TJ/F30 9.9626 Tf 172.769 0 Td [(irw)]TJ/F8 9.9626 Tf 15.692 0 Td [(,)-298(are)-289(already)-288(in)-289(lo)-28(cal)-289(n)28(um)28(b)-28(er-)]TJ -191.609 -11.955 Td [(ing.)]TJ 0 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -65.76 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(logical)-333(v)55(alue;)-333(default:)]TJ/F30 9.9626 Tf 163.056 0 Td [(.false.)]TJ/F8 9.9626 Tf 36.612 0 Td [(.)]TJ 0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(If)]TJ/F11 9.9626 Tf 10.133 0 Td [(y)]TJ/F8 9.9626 Tf 8.733 0 Td [(is)-350(not)-351(presen)28(t,)-355(then)]TJ/F11 9.9626 Tf 88.586 0 Td [(x)]TJ/F8 9.9626 Tf 9.185 0 Td [(is)-350(o)27(v)28(erwritten)-350(with)-351(th)1(e)-351(translated)-350(in)28(teger)-351(indices.)]TJ -102.758 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(rank)-333(one)-333(in)27(teger)-333(arra)28(y)83(.)]TJ +/F27 9.9626 Tf -224.575 -20.68 Td [(On)-383(Return)]TJ 0 g 0 G -/F27 9.9626 Tf -24.907 -19.639 Td [(y)]TJ 0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(If)]TJ/F11 9.9626 Tf 10.04 0 Td [(y)]TJ/F8 9.9626 Tf 8.64 0 Td [(is)-341(presen)28(t,)-343(then)]TJ/F11 9.9626 Tf 70.405 0 Td [(y)]TJ/F8 9.9626 Tf 8.64 0 Td [(is)-341(o)28(v)27(erwri)1(tte)-1(n)-341(with)-341(the)-341(translated)-341(in)28(teger)-341(indices,)-343(and)]TJ/F11 9.9626 Tf -83.846 -11.955 Td [(x)]TJ/F8 9.9626 Tf 9.015 0 Td [(is)-333(left)-334(unc)28(hanged.)-444(Scop)-28(e:)]TJ/F27 9.9626 Tf 113.242 0 Td [(global)]TJ/F8 9.9626 Tf -122.257 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf -29.611 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(rank)-333(one)-333(in)27(teger)-333(arra)28(y)83(.)]TJ + 0 -19.43 Td [(x)]TJ 0 g 0 G -/F27 9.9626 Tf -24.907 -19.638 Td [(info)]TJ +/F8 9.9626 Tf 11.028 0 Td [(the)-333(output)-334(dense)-333(matrix.)]TJ 13.879 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-232(as:)-394(a)-233(rank)-233(one)-232(or)-233(t)28(w)28(o)-233(arra)28(y)-233(or)-232(an)-233(ob)-55(ject)-233(of)-233(t)28(yp)-28(e)]TJ +0 0 1 rg 0 0 1 RG +/F30 9.9626 Tf 241.975 0 Td [(psb)]TJ +ET +q +1 0 0 1 383.096 144.435 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 386.234 144.236 Td [(T)]TJ +ET +q +1 0 0 1 392.092 144.435 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 395.231 144.236 Td [(vect)]TJ +ET +q +1 0 0 1 416.779 144.435 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 419.918 144.236 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.149 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detecte)-1(d)1(.)]TJ/F16 11.9552 Tf -24.907 -21.202 Td [(Notes)]TJ +/F8 9.9626 Tf 20.921 0 Td [(,)]TJ -316.037 -11.955 Td [(of)-333(t)27(y)1(p)-28(e)-334(real,)-333(complex)-333(or)-334(in)28(teger.)]TJ 0 g 0 G -/F8 9.9626 Tf 166.875 -29.887 Td [(85)]TJ + 141.968 -41.843 Td [(83)]TJ 0 g 0 G ET endstream endobj -1416 0 obj +1428 0 obj << -/Length 705 +/Length 1115 >> stream 0 g 0 G 0 g 0 G 0 g 0 G BT -/F8 9.9626 Tf 162.881 706.129 Td [(1.)]TJ +/F27 9.9626 Tf 150.705 706.129 Td [(info)]TJ 0 g 0 G - [-500(If)-352(an)-353(input)-352(index)-352(is)-353(out)-352(of)-353(r)1(ange)-1(,)-357(then)-352(the)-352(corres)-1(p)-27(onding)-353(ou)1(tput)-353(index)-352(is)]TJ 12.73 -11.955 Td [(set)-333(to)-334(a)-333(negativ)28(e)-334(n)28(um)28(b)-28(er;)]TJ +/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.148 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)27(t)1(e)-1(ger)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detec)-1(ted.)]TJ/F16 11.9552 Tf -24.906 -21.918 Td [(Notes)]TJ 0 g 0 G - -12.73 -19.926 Td [(2.)]TJ +/F8 9.9626 Tf 12.176 -19.925 Td [(1.)]TJ +0 g 0 G + [-500(Dense)-333(v)27(ectors/matrices)-333(do)-333(not)-334(ha)28(v)28(e)-334(an)-333(asso)-28(ciated)-333(state;)]TJ +0 g 0 G + 0 -19.925 Td [(2.)]TJ 0 g 0 G - [-500(The)-476(default)]TJ/F30 9.9626 Tf 69.543 0 Td [(I)]TJ/F8 9.9626 Tf 5.23 0 Td [(gnore)-476(means)-477(that)-476(the)-476(negativ)28(e)-477(out)1(put)-477(is)-476(the)-476(only)-476(action)]TJ -62.043 -11.955 Td [(tak)28(en)-334(on)-333(an)-333(out-of-range)-333(input.)]TJ + [-500(Duplicate)-292(en)28(tries)-293(are)-292(either)-292(o)28(v)28(erwritten)-293(or)-292(added,)-300(there)-292(is)-292(no)-293(p)1(ro)27(vision)-292(for)]TJ 12.73 -11.955 Td [(raising)-333(an)-334(error)-333(condition.)]TJ 0 g 0 G - 141.968 -571.855 Td [(86)]TJ + 141.968 -494.147 Td [(84)]TJ 0 g 0 G ET endstream endobj -1423 0 obj +1437 0 obj << -/Length 5721 +/Length 5215 >> stream 0 g 0 G @@ -16691,93 +16520,149 @@ q []0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q BT -/F16 11.9552 Tf 124.986 706.129 Td [(lo)-31(c)]TJ -ET -q -1 0 0 1 142.605 706.328 cm -[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S -Q -BT -/F16 11.9552 Tf 146.64 706.129 Td [(to)]TJ -ET -q -1 0 0 1 159.402 706.328 cm -[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S -Q -BT -/F16 11.9552 Tf 163.437 706.129 Td [(glob)-375(|)-375(Lo)-31(cal)-375(to)-375(global)-375(indices)-375(con)31(v)31(ersion)]TJ +/F16 11.9552 Tf 124.986 706.129 Td [(geasb)-375(|)-375(Assem)31(bly)-375(a)-375(dense)-375(matrix)]TJ 0 g 0 G 0 g 0 G -/F30 9.9626 Tf -63.542 -18.389 Td [(call)-525(psb_loc_to_glob\050x,)-525(y,)-525(desc_a,)-525(info,)-525(iact\051)]TJ 0 -11.956 Td [(call)-525(psb_loc_to_glob\050x,)-525(desc_a,)-525(info,)-525(iact\051)]TJ +/F30 9.9626 Tf -25.091 -18.389 Td [(call)-525(psb_geasb\050x,)-525(desc_a,)-525(info,)-525(mold\051)]TJ 0 g 0 G -/F27 9.9626 Tf 0 -21.917 Td [(T)32(yp)-32(e:)]TJ +/F27 9.9626 Tf 0 -21.918 Td [(T)32(yp)-32(e:)]TJ 0 g 0 G -/F8 9.9626 Tf 33.797 0 Td [(Async)28(hronous.)]TJ +/F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ 0 g 0 G /F27 9.9626 Tf -33.797 -19.926 Td [(On)-383(En)32(try)]TJ 0 g 0 G 0 g 0 G - 0 -19.925 Td [(x)]TJ -0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(An)-333(in)28(te)-1(ger)-333(v)28(ector)-333(of)-334(indices)-333(to)-333(b)-28(e)-334(con)28(v)28(erted.)]TJ 13.879 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in,)-383(inout)]TJ/F8 9.9626 Tf 42.645 0 Td [(.)]TJ -76.131 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(rank)-333(one)-333(in)27(teger)-333(arra)28(y)83(.)]TJ -0 g 0 G -/F27 9.9626 Tf -24.907 -31.88 Td [(desc)]TJ + 0 -19.925 Td [(desc)]TJ ET q -1 0 0 1 121.81 534.514 cm +1 0 0 1 121.81 626.17 cm []0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F27 9.9626 Tf 125.247 534.315 Td [(a)]TJ +/F27 9.9626 Tf 125.247 625.971 Td [(a)]TJ 0 g 0 G -/F8 9.9626 Tf 10.551 0 Td [(the)-333(comm)27(unication)-333(descriptor.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.899 0 Td [(.)]TJ -67.082 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ +/F8 9.9626 Tf 10.551 0 Td [(The)-333(comm)27(unication)-333(descriptor.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(v)56(ariable)-334(of)-333(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ +/F30 9.9626 Tf 137.346 0 Td [(psb)]TJ ET q -1 0 0 1 312.036 486.693 cm +1 0 0 1 278.467 578.35 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 315.174 486.494 Td [(desc)]TJ +/F30 9.9626 Tf 281.605 578.15 Td [(desc)]TJ ET q -1 0 0 1 336.723 486.693 cm +1 0 0 1 303.154 578.35 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 339.861 486.494 Td [(type)]TJ +/F30 9.9626 Tf 306.292 578.15 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.921 0 Td [(.)]TJ +/F8 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -260.887 -19.925 Td [(iact)]TJ +/F27 9.9626 Tf -227.319 -31.88 Td [(mold)]TJ 0 g 0 G -/F8 9.9626 Tf 23.281 0 Td [(sp)-28(eci\014es)-333(action)-334(to)-333(b)-28(e)-333(tak)28(en)-334(in)-333(case)-333(of)-334(range)-333(errors.)-444(Scop)-28(e:)]TJ/F27 9.9626 Tf 257.147 0 Td [(global)]TJ/F8 9.9626 Tf -255.521 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-255(as:)-405(a)-256(c)28(haracter)-255(v)56(ariable)]TJ/F30 9.9626 Tf 143.584 0 Td [(I)]TJ/F8 9.9626 Tf 5.23 0 Td [(gnore,)]TJ/F30 9.9626 Tf 29.293 0 Td [(W)]TJ/F8 9.9626 Tf 5.23 0 Td [(arning)-255(or)]TJ/F30 9.9626 Tf 41.67 0 Td [(A)]TJ/F8 9.9626 Tf 5.231 0 Td [(b)-28(ort,)-270(default)]TJ/F30 9.9626 Tf 56.741 0 Td [(I)]TJ/F8 9.9626 Tf 5.231 0 Td [(gnore.)]TJ +/F8 9.9626 Tf 29.805 0 Td [(The)-333(desired)-334(dynamic)-333(t)28(yp)-28(e)-333(for)-334(the)-333(in)28(ternal)-333(v)27(ector)-333(storage.)]TJ -4.898 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -55.452 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -70.188 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-273(as:)-414(an)-274(ob)-55(ject)-273(of)-274(a)-273(class)-273(deriv)28(ed)-274(from)]TJ/F30 9.9626 Tf 198.26 0 Td [(psb)]TJ +ET +q +1 0 0 1 339.381 498.649 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 342.519 498.449 Td [(T)]TJ +ET +q +1 0 0 1 348.377 498.649 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 351.515 498.449 Td [(base)]TJ +ET +q +1 0 0 1 373.064 498.649 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 376.202 498.449 Td [(vect)]TJ +ET +q +1 0 0 1 397.751 498.649 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 400.89 498.449 Td [(type)]TJ/F8 9.9626 Tf 20.921 0 Td [(;)-293(this)]TJ -297.009 -11.955 Td [(is)-333(only)-334(allo)28(w)28(ed)-333(when)]TJ/F11 9.9626 Tf 93.317 0 Td [(x)]TJ/F8 9.9626 Tf 9.015 0 Td [(is)-333(of)-334(t)28(yp)-28(e)]TJ +0 0 1 rg 0 0 1 RG +/F30 9.9626 Tf 43.78 0 Td [(psb)]TJ +ET +q +1 0 0 1 287.233 486.693 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 290.371 486.494 Td [(T)]TJ +ET +q +1 0 0 1 296.229 486.693 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 299.367 486.494 Td [(vect)]TJ +ET +q +1 0 0 1 320.916 486.693 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 324.054 486.494 Td [(type)]TJ 0 g 0 G -/F27 9.9626 Tf -317.117 -21.917 Td [(On)-383(Return)]TJ +/F8 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G +/F27 9.9626 Tf -245.081 -21.918 Td [(On)-383(Return)]TJ 0 g 0 G - 0 -19.926 Td [(x)]TJ 0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(If)]TJ/F11 9.9626 Tf 10.133 0 Td [(y)]TJ/F8 9.9626 Tf 8.733 0 Td [(is)-350(not)-351(presen)28(t,)-355(then)]TJ/F11 9.9626 Tf 88.586 0 Td [(x)]TJ/F8 9.9626 Tf 9.185 0 Td [(is)-350(o)27(v)28(erwritten)-350(with)-351(th)1(e)-351(translated)-350(in)28(teger)-351(indices.)]TJ -102.758 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(rank)-333(one)-333(in)27(teger)-333(arra)28(y)83(.)]TJ + 0 -19.925 Td [(x)]TJ 0 g 0 G -/F27 9.9626 Tf -24.907 -19.926 Td [(y)]TJ +/F8 9.9626 Tf 11.028 0 Td [(The)-333(dense)-334(matrix)-333(to)-333(b)-28(e)-334(assem)28(bled.)]TJ 13.879 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.956 Td [(Sp)-28(eci\014ed)-433(as:)-645(a)-433(rank)-433(one)-433(or)-434(t)28(w)28(o)-434(arra)28(y)-433(with)-433(the)-434(ALLOCA)84(T)83(ABLE)-433(or)-434(an)]TJ 0 -11.955 Td [(ob)-56(j)1(e)-1(ct)-333(of)-333(t)28(yp)-28(e)]TJ +0 0 1 rg 0 0 1 RG +/F30 9.9626 Tf 63.927 0 Td [(psb)]TJ +ET +q +1 0 0 1 205.048 385.075 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 208.186 384.875 Td [(T)]TJ +ET +q +1 0 0 1 214.044 385.075 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 217.182 384.875 Td [(vect)]TJ +ET +q +1 0 0 1 238.731 385.075 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 241.869 384.875 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(If)]TJ/F11 9.9626 Tf 10.167 0 Td [(y)]TJ/F8 9.9626 Tf 8.767 0 Td [(is)-354(not)-354(presen)28(t,)-359(then)]TJ/F11 9.9626 Tf 88.732 0 Td [(y)]TJ/F8 9.9626 Tf 8.766 0 Td [(is)-354(o)28(v)28(erwritten)-354(with)-354(the)-354(translated)-353(in)27(teger)-353(indices,)]TJ -102.553 -11.955 Td [(and)]TJ/F11 9.9626 Tf 19.372 0 Td [(x)]TJ/F8 9.9626 Tf 9.015 0 Td [(is)-333(left)-334(unc)28(hanged.)-444(Scop)-28(e:)]TJ/F27 9.9626 Tf 113.242 0 Td [(global)]TJ/F8 9.9626 Tf -141.629 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(rank)-333(one)-333(in)27(teger)-333(arra)28(y)83(.)]TJ +/F8 9.9626 Tf 20.922 0 Td [(,)-333(of)-334(t)28(yp)-28(e)-333(real,)-333(complex)-334(or)-333(in)28(teger.)]TJ 0 g 0 G -/F27 9.9626 Tf -24.907 -19.926 Td [(info)]TJ +/F27 9.9626 Tf -162.896 -31.88 Td [(info)]TJ 0 g 0 G -/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.149 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detecte)-1(d)1(.)]TJ +/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.149 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detecte)-1(d)1(.)]TJ 0 g 0 G - 141.968 -115.11 Td [(87)]TJ + 141.968 -214.736 Td [(85)]TJ 0 g 0 G ET endstream endobj -1428 0 obj +1444 0 obj << -/Length 3279 +/Length 3379 >> stream 0 g 0 G @@ -16790,78 +16675,92 @@ q []0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q BT -/F16 11.9552 Tf 175.796 706.129 Td [(is)]TJ -ET -q -1 0 0 1 185.644 706.328 cm -[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S -Q -BT -/F16 11.9552 Tf 189.679 706.129 Td [(o)31(wned)-375(|)]TJ +/F16 11.9552 Tf 175.796 706.129 Td [(gefree)-375(|)-375(F)94(rees)-375(a)-375(dense)-375(matrix)]TJ 0 g 0 G 0 g 0 G -/F30 9.9626 Tf -38.974 -18.389 Td [(call)-525(psb_is_owned\050x,)-525(desc_a\051)]TJ +/F30 9.9626 Tf -25.091 -18.389 Td [(call)-525(psb_gefree\050x,)-525(desc_a,)-525(info\051)]TJ 0 g 0 G /F27 9.9626 Tf 0 -21.918 Td [(T)32(yp)-32(e:)]TJ 0 g 0 G -/F8 9.9626 Tf 33.797 0 Td [(Async)28(hronous.)]TJ +/F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ 0 g 0 G /F27 9.9626 Tf -33.797 -19.926 Td [(On)-383(En)32(try)]TJ 0 g 0 G 0 g 0 G 0 -19.925 Td [(x)]TJ 0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(In)28(teger)-334(ind)1(e)-1(x.)]TJ 13.879 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.378 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-444(a)-334(scalar)-333(in)28(teger.)]TJ +/F8 9.9626 Tf 11.028 0 Td [(The)-333(dense)-334(matrix)-333(to)-333(b)-28(e)-333(free)-1(d)1(.)]TJ 13.879 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.378 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(inout)]TJ/F8 9.9626 Tf 26.097 0 Td [(.)]TJ -59.582 -11.956 Td [(Sp)-28(eci\014ed)-433(as:)-645(a)-433(rank)-433(one)-433(or)-434(t)28(w)28(o)-434(arr)1(a)27(y)-433(with)-433(the)-434(ALLOCA)84(T)83(ABLE)-433(or)-434(an)]TJ 0 -11.955 Td [(ob)-55(jec)-1(t)-333(of)-333(t)28(yp)-28(e)]TJ +0 0 1 rg 0 0 1 RG +/F30 9.9626 Tf 63.927 0 Td [(psb)]TJ +ET +q +1 0 0 1 255.857 566.395 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 258.995 566.195 Td [(T)]TJ +ET +q +1 0 0 1 264.853 566.395 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 267.992 566.195 Td [(vect)]TJ +ET +q +1 0 0 1 289.541 566.395 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 292.679 566.195 Td [(type)]TJ +0 g 0 G +/F8 9.9626 Tf 20.921 0 Td [(,)-333(of)-334(t)28(yp)-28(e)-333(real,)-333(complex)-334(or)-333(in)28(teger.)]TJ 0 g 0 G -/F27 9.9626 Tf -24.907 -31.88 Td [(desc)]TJ +/F27 9.9626 Tf -162.895 -31.88 Td [(desc)]TJ ET q -1 0 0 1 172.619 546.469 cm +1 0 0 1 172.619 534.514 cm []0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F27 9.9626 Tf 176.057 546.27 Td [(a)]TJ +/F27 9.9626 Tf 176.057 534.315 Td [(a)]TJ 0 g 0 G -/F8 9.9626 Tf 10.55 0 Td [(the)-333(comm)27(unication)-333(descriptor.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.184 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ +/F8 9.9626 Tf 10.55 0 Td [(The)-333(comm)27(unication)-333(descriptor.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(v)56(ariable)-334(of)-333(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ +/F30 9.9626 Tf 137.347 0 Td [(psb)]TJ ET q -1 0 0 1 362.845 498.649 cm +1 0 0 1 329.276 486.693 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 365.983 498.449 Td [(desc)]TJ +/F30 9.9626 Tf 332.415 486.494 Td [(desc)]TJ ET q -1 0 0 1 387.532 498.649 cm +1 0 0 1 353.964 486.693 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 390.67 498.449 Td [(type)]TJ -0 g 0 G -/F8 9.9626 Tf 20.922 0 Td [(.)]TJ -0 g 0 G -/F27 9.9626 Tf -260.887 -21.917 Td [(On)-383(Return)]TJ +/F30 9.9626 Tf 357.102 486.494 Td [(type)]TJ 0 g 0 G +/F8 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G - 0 -19.926 Td [(F)96(unction)-384(v)64(alue)]TJ +/F27 9.9626 Tf -227.318 -33.873 Td [(On)-383(Return)]TJ 0 g 0 G -/F8 9.9626 Tf 78.386 0 Td [(A)-302(logical)-301(mask)-302(whic)28(h)-302(is)-302(tru)1(e)-302(if)]TJ/F11 9.9626 Tf 134.085 0 Td [(x)]TJ/F8 9.9626 Tf 8.7 0 Td [(is)-302(o)28(wned)-302(b)28(y)-301(the)-302(curren)28(t)-302(pro-)]TJ -196.265 -11.955 Td [(cess)-334(Scop)-27(e:)]TJ/F27 9.9626 Tf 52.415 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -52.415 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ/F16 11.9552 Tf -74.941 -33.873 Td [(Notes)]TJ 0 g 0 G -/F8 9.9626 Tf 12.176 -19.926 Td [(1.)]TJ + 0 -19.925 Td [(info)]TJ 0 g 0 G - [-500(This)-300(routine)-300(r)1(e)-1(tu)1(rns)-300(a)]TJ/F30 9.9626 Tf 111.214 0 Td [(.true.)]TJ/F8 9.9626 Tf 34.368 0 Td 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[(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(rank)-333(one)-334(i)1(n)27(teger)-333(arra)28(y)83(.)]TJ 0 g 0 G - -12.73 -19.925 Td [(2.)]TJ +/F27 9.9626 Tf -24.906 -19.639 Td [(y)]TJ +0 g 0 G +/F8 9.9626 Tf 11.028 0 Td [(If)]TJ/F11 9.9626 Tf 10.04 0 Td [(y)]TJ/F8 9.9626 Tf 8.64 0 Td [(is)-341(presen)28(t,)-343(then)]TJ/F11 9.9626 Tf 70.404 0 Td [(y)]TJ/F8 9.9626 Tf 8.64 0 Td [(is)-341(o)28(v)27(erwritten)-341(with)-341(the)-341(translated)-341(in)28(teger)-341(indices,)-343(and)]TJ/F11 9.9626 Tf -83.846 -11.955 Td [(x)]TJ/F8 9.9626 Tf 9.015 0 Td [(is)-333(left)-334(unc)28(hanged.)-444(Scop)-28(e:)]TJ/F27 9.9626 Tf 113.242 0 Td [(global)]TJ/F8 9.9626 Tf -122.257 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(optional)]TJ/F8 9.9626 Tf -29.612 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(rank)-333(one)-334(i)1(n)27(teger)-333(arra)28(y)83(.)]TJ +0 g 0 G +/F27 9.9626 Tf -24.906 -19.638 Td [(info)]TJ 0 g 0 G - [-500(Otherwise)-288(the)-289(size)-288(of)]TJ/F30 9.9626 Tf 105.44 0 Td [(bndel)]TJ/F8 9.9626 Tf 29.024 0 Td [(will)-288(b)-28(e)-288(exactly)-288(e)-1(qu)1(al)-289(to)-288(the)-288(n)28(um)27(b)-27(er)-289(of)-288(b)-28(oun)1(d-)]TJ -121.734 -11.956 Td [(ary)-333(elemen)27(ts.)]TJ +/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.148 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)28(te)-1(ger)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detec)-1(t)1(e)-1(d.)]TJ/F16 11.9552 Tf -24.906 -21.202 Td [(Notes)]TJ 0 g 0 G - 141.968 -208.758 Td [(92)]TJ +/F8 9.9626 Tf 166.874 -29.887 Td [(88)]TJ 0 g 0 G ET endstream endobj -1461 0 obj +1458 0 obj << -/Length 3654 +/Length 692 >> stream 0 g 0 G 0 g 0 G +0 g 0 G BT -/F16 11.9552 Tf 99.895 706.129 Td [(psb)]TJ +/F8 9.9626 Tf 112.072 706.129 Td [(1.)]TJ +0 g 0 G + [-500(If)-352(an)-353(input)-352(index)-352(is)-353(out)-352(of)-352(range,)-358(then)-352(the)-352(corresp)-28(onding)-352(output)-353(index)-352(is)]TJ 12.73 -11.955 Td [(set)-333(to)-334(a)-333(negativ)28(e)-334(n)28(um)28(b)-28(er;)]TJ +0 g 0 G + -12.73 -19.926 Td [(2.)]TJ +0 g 0 G + [-500(The)-476(default)]TJ/F30 9.9626 Tf 69.542 0 Td [(I)]TJ/F8 9.9626 Tf 5.231 0 Td [(gnore)-476(means)-477(th)1(at)-477(the)-476(negativ)28(e)-476(output)-477(is)-476(the)-476(only)-476(action)]TJ -62.043 -11.955 Td [(tak)28(en)-334(on)-333(an)-333(out-of-range)-333(input.)]TJ +0 g 0 G + 141.968 -571.855 Td [(89)]TJ +0 g 0 G +ET + +endstream +endobj +1465 0 obj +<< +/Length 5736 +>> +stream +0 g 0 G +0 g 0 G +BT +/F16 11.9552 Tf 150.705 706.129 Td [(psb)]TJ ET q -1 0 0 1 120.951 706.328 cm +1 0 0 1 171.761 706.328 cm []0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q BT -/F16 11.9552 Tf 124.986 706.129 Td [(get)]TJ +/F16 11.9552 Tf 175.796 706.129 Td [(lo)-31(c)]TJ ET q -1 0 0 1 143.885 706.328 cm +1 0 0 1 193.415 706.328 cm +[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S +Q +BT +/F16 11.9552 Tf 197.45 706.129 Td [(to)]TJ +ET +q +1 0 0 1 210.212 706.328 cm []0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q BT -/F16 11.9552 Tf 147.92 706.129 Td [(o)31(v)31(erlap)-375(|)-375(Extract)-375(list)-375(of)-375(o)32(v)31(erlap)-375(elemen)31(ts)]TJ +/F16 11.9552 Tf 214.247 706.129 Td [(glob)-375(|)-375(Lo)-31(cal)-375(to)-375(global)-375(indices)-375(con)31(v)31(ersion)]TJ 0 g 0 G 0 g 0 G -/F30 9.9626 Tf -48.025 -18.389 Td [(call)-525(psb_get_overlap\050ovrel,)-525(desc,)-525(info\051)]TJ +/F30 9.9626 Tf -63.542 -18.389 Td [(call)-525(psb_loc_to_glob\050x,)-525(y,)-525(desc_a,)-525(info,)-525(iact\051)]TJ 0 -11.956 Td [(call)-525(psb_loc_to_glob\050x,)-525(desc_a,)-525(info,)-525(iact\051)]TJ 0 g 0 G -/F27 9.9626 Tf 0 -21.918 Td [(T)32(yp)-32(e:)]TJ +/F27 9.9626 Tf 0 -21.917 Td [(T)32(yp)-32(e:)]TJ 0 g 0 G /F8 9.9626 Tf 33.797 0 Td [(Async)28(hronous.)]TJ 0 g 0 G /F27 9.9626 Tf -33.797 -19.926 Td [(On)-383(En)32(try)]TJ 0 g 0 G 0 g 0 G - 0 -19.925 Td [(desc)]TJ + 0 -19.925 Td [(x)]TJ 0 g 0 G -/F8 9.9626 Tf 26.209 0 Td [(the)-333(comm)27(unication)-333(descriptor.)]TJ -1.302 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.899 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ +/F8 9.9626 Tf 11.028 0 Td [(An)-333(in)28(tege)-1(r)-333(v)28(ector)-333(of)-334(indices)-333(to)-333(b)-28(e)-334(con)28(v)28(erted.)]TJ 13.879 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.378 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in,)-383(inout)]TJ/F8 9.9626 Tf 42.646 0 Td [(.)]TJ -76.131 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-444(a)-334(rank)-333(one)-333(in)27(teger)-333(arra)28(y)83(.)]TJ +0 g 0 G +/F27 9.9626 Tf -24.907 -31.88 Td [(desc)]TJ +ET +q +1 0 0 1 172.619 534.514 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +Q +BT +/F27 9.9626 Tf 176.057 534.315 Td [(a)]TJ +0 g 0 G +/F8 9.9626 Tf 10.55 0 Td [(the)-333(comm)27(unication)-333(descriptor.)]TJ -10.996 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 27.951 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -51.024 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.184 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -67.082 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG /F30 9.9626 Tf 170.915 0 Td [(psb)]TJ ET q -1 0 0 1 312.036 578.35 cm +1 0 0 1 362.845 486.693 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 315.174 578.15 Td [(desc)]TJ +/F30 9.9626 Tf 365.983 486.494 Td [(desc)]TJ ET q -1 0 0 1 336.723 578.35 cm +1 0 0 1 387.532 486.693 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 339.861 578.15 Td [(type)]TJ +/F30 9.9626 Tf 390.67 486.494 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 20.921 0 Td [(.)]TJ +/F8 9.9626 Tf 20.922 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -260.887 -21.917 Td [(On)-383(Return)]TJ +/F27 9.9626 Tf -260.887 -19.925 Td [(iact)]TJ 0 g 0 G +/F8 9.9626 Tf 23.28 0 Td [(sp)-28(eci\014es)-333(action)-334(to)-333(b)-28(e)-333(tak)28(en)-334(in)-333(case)-333(of)-334(range)-333(errors.)-444(Scop)-28(e:)]TJ/F27 9.9626 Tf 257.148 0 Td [(global)]TJ/F8 9.9626 Tf -255.522 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(optional)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.956 Td [(Sp)-28(eci\014ed)-255(as:)-405(a)-256(c)28(haracter)-255(v)56(ariable)]TJ/F30 9.9626 Tf 143.584 0 Td [(I)]TJ/F8 9.9626 Tf 5.231 0 Td [(gnore,)]TJ/F30 9.9626 Tf 29.293 0 Td [(W)]TJ/F8 9.9626 Tf 5.23 0 Td [(arning)-255(or)]TJ/F30 9.9626 Tf 41.67 0 Td [(A)]TJ/F8 9.9626 Tf 5.23 0 Td [(b)-28(ort,)-271(d)1(e)-1(f)1(ault)]TJ/F30 9.9626 Tf 56.742 0 Td [(I)]TJ/F8 9.9626 Tf 5.23 0 Td [(gnore.)]TJ 0 g 0 G - 0 -19.926 Td [(o)32(vrel)]TJ +/F27 9.9626 Tf -317.116 -21.917 Td [(On)-383(Return)]TJ 0 g 0 G -/F8 9.9626 Tf 29.591 0 Td [(The)-333(list)-334(of)-333(o)28(v)28(erlap)-334(elemen)28(ts)-333(on)-334(the)-333(calling)-333(pro)-28(cess,)-333(in)-334(lo)-28(cal)-333(n)28(um)28(b)-28(ering.)]TJ -4.684 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(Sp)-28(eci\014ed)-456(as:)-691(a)-457(rank)-456(one)-457(arra)28(y)-456(with)-457(the)-457(ALLOCA)84(T)83(ABLE)-456(attribute,)-488(of)]TJ 0 -11.955 Td [(t)28(yp)-28(e)-333(in)28(te)-1(ger.)]TJ 0 g 0 G -/F27 9.9626 Tf -24.907 -31.881 Td [(info)]TJ + 0 -19.926 Td [(x)]TJ 0 g 0 G -/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.149 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 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[(required)]TJ/F8 9.9626 Tf 41.899 0 Td [(.)]TJ -67.082 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ +0 0 1 rg 0 0 1 RG +/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ +ET +q +1 0 0 1 312.036 498.649 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 315.174 498.449 Td [(desc)]TJ +ET +q +1 0 0 1 336.723 498.649 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 339.861 498.449 Td [(type)]TJ 0 g 0 G -/F8 9.9626 Tf 22.645 0 Td [(Whether)-333(to)-334(k)28(eep)-333(the)-333(original)-334(v)56(alues)-333(in)]TJ/F11 9.9626 Tf 170.582 0 Td [(I)-78(X)]TJ/F8 9.9626 Tf 14.197 0 Td [(.)]TJ -182.517 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -65.76 -11.956 Td [(Sp)-28(eci\014ed)-222(as:)-389(an)-222(in)28(teger)-222(v)55(alue)]TJ/F30 9.9626 Tf 125.446 0 Td [(psb_sort_ovw_idx_)]TJ/F8 9.9626 Tf 91.13 0 Td [(or)]TJ/F30 9.9626 Tf 11.097 0 Td [(psb_sort_keep_idx_)]TJ/F8 9.9626 Tf 94.147 0 Td [(;)]TJ -321.82 -11.955 Td [(default)]TJ/F30 9.9626 Tf 33.486 0 Td [(psb_sort_ovw_idx_)]TJ/F8 9.9626 Tf 88.915 0 Td [(.)]TJ +/F8 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -147.308 -24.503 Td [(On)-383(Return)]TJ +/F27 9.9626 Tf -260.887 -21.917 Td [(On)-383(Return)]TJ 0 g 0 G 0 g 0 G - 0 -22.511 Td [(x)]TJ + 0 -19.926 Td [(F)96(unction)-384(v)64(alue)]TJ 0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(The)-333(sequence)-334(of)-333(v)55(alues,)-333(in)-333(the)-334(c)28(hosen)-333(ordering.)]TJ 13.879 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.899 0 Td [(.)]TJ -67.082 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger,)-333(real)-334(or)-333(complex)-333(arra)27(y)-333(of)-333(rank)-333(1.)]TJ +/F8 9.9626 Tf 78.387 0 Td [(A)-264(logical)-265(mask)-264(whic)27(h)-264(is)-265(true)-264(if)]TJ/F11 9.9626 Tf 131.492 0 Td [(x)]TJ/F8 9.9626 Tf 8.329 0 Td [(is)-264(lo)-28(cal)-265(to)-264(the)-265(curren)28(t)-264(pro)-28(cess)]TJ -193.301 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ/F16 11.9552 Tf -74.942 -33.873 Td [(Notes)]TJ 0 g 0 G -/F27 9.9626 Tf -24.907 -22.511 Td [(ix)]TJ +/F8 9.9626 Tf 12.177 -19.926 Td [(1.)]TJ 0 g 0 G -/F8 9.9626 Tf 14.211 0 Td [(A)-333(v)27(ector)-333(of)-333(indices.)]TJ 10.696 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(Optional)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(An)-332(in)27(teger)-332(arra)28(y)-333(of)-332(rank)-333(1,)-332(whose)-333(en)28(tries)-332(are)-333(mo)28(v)28(ed)-333(to)-332(the)-333(same)-332(p)-28(osition)]TJ 0 -11.955 Td [(as)-333(the)-334(corresp)-28(on)1(ding)-334(en)28(tries)-333(in)]TJ/F11 9.9626 Tf 136.959 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(.)]TJ + [-500(This)-239(routine)-239(returns)-239(a)]TJ/F30 9.9626 Tf 108.787 0 Td [(.true.)]TJ/F8 9.9626 Tf 33.762 0 Td [(v)56(alue)-239(for)-239(an)-239(index)-239(that)-239(is)-238(lo)-28(cal)-239(to)-239(the)-239(curren)28(t)]TJ -129.819 -11.955 Td [(pro)-28(cess,)-333(including)-333(the)-334(halo)-333(indices)]TJ 0 g 0 G - -0.685 -43.727 Td [(97)]TJ + 141.968 -264.549 Td [(93)]TJ 0 g 0 G ET endstream endobj -1491 0 obj +1489 0 obj << -/Length 6990 +/Length 4992 >> stream 0 g 0 G 0 g 0 G BT -/F16 11.9552 Tf 150.705 706.129 Td [(Notes)]TJ +/F16 11.9552 Tf 150.705 706.129 Td [(psb)]TJ +ET +q +1 0 0 1 171.761 706.328 cm +[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S +Q +BT +/F16 11.9552 Tf 175.796 706.129 Td [(lo)-31(cal)]TJ +ET +q +1 0 0 1 203.689 706.328 cm +[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S +Q +BT +/F16 11.9552 Tf 207.724 706.129 Td [(index)-375(|)]TJ 0 g 0 G -/F8 9.9626 Tf 12.176 -19.925 Td [(1.)]TJ 0 g 0 G - [-500(F)83(or)-466(in)28(te)-1(ger)-466(or)-467(real)-466(data)-467(the)-467(sorting)-466(can)-467(b)-28(e)-466(p)-28(erformed)-467(in)-466(the)-467(up/do)28(wn)]TJ 12.73 -11.956 Td [(direction,)-333(on)-334(the)-333(natural)-333(or)-333(absolute)-334(v)56(alues;)]TJ +/F30 9.9626 Tf -57.019 -18.389 Td [(call)-525(psb_local_index\050y,)-525(x,)-525(desc_a,)-525(info\051)]TJ 0 g 0 G - -12.73 -19.925 Td [(2.)]TJ -0 g 0 G - [-500(F)83(or)-397(complex)-398(data)-398(the)-397(sorting)-398(can)-398(b)-27(e)-398(done)-398(in)-397(a)-398(lexicographic)-398(order)-397(\050i.e.:)]TJ 12.73 -11.955 Td [(sort)-316(on)-316(the)-315(real)-316(part)-316(with)-316(ties)-316(brok)28(en)-316(according)-315(to)-316(the)-316(imaginary)-316(part\051)-315(or)]TJ 0 -11.955 Td [(on)-333(the)-334(absolute)-333(v)56(alues;)]TJ +/F27 9.9626 Tf 0 -21.918 Td [(T)32(yp)-32(e:)]TJ 0 g 0 G - -12.73 -19.925 Td [(3.)]TJ +/F8 9.9626 Tf 33.797 0 Td [(Async)28(hronous.)]TJ 0 g 0 G - [-500(The)-257(routines)-258(return)-257(the)-257(items)-257(in)-258(the)-257(c)28(hosen)-258(or)1(dering;)-283(the)-257(output)-257(di\013erence)]TJ 12.73 -11.956 Td [(is)-259(the)-259(handling)-259(of)-259(ties)-259(\050i.e.)-419(items)-259(with)-259(an)-259(equal)-259(v)55(alu)1(e)-1(\051)-258(in)-259(the)-259(original)-259(input.)]TJ 0 -11.955 Td [(With)-493(the)-493(merge-sort)-493(algorithm)-493(ties)-493(are)-493(preserv)27(ed)-493(in)-493(the)-493(same)-493(relativ)28(e)]TJ 0 -11.955 Td [(order)-405(as)-406(they)-405(had)-406(in)-405(the)-406(or)1(iginal)-406(sequence,)-423(while)-406(this)-405(is)-406(not)-405(guaran)28(teed)]TJ 0 -11.955 Td [(for)-333(quic)28(ks)-1(or)1(t)-334(or)-333(heapsort;)]TJ +/F27 9.9626 Tf -33.797 -19.926 Td [(On)-383(En)32(try)]TJ 0 g 0 G - -12.73 -19.925 Td [(4.)]TJ 0 g 0 G - [-500(If)]TJ/F11 9.9626 Tf 21.89 0 Td [(f)-108(l)-19(ag)]TJ/F8 9.9626 Tf 22.261 0 Td [(=)]TJ/F11 9.9626 Tf 10.516 0 Td [(psb)]TJ -ET -q -1 0 0 1 232.104 542.941 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S -Q -BT -/F11 9.9626 Tf 235.093 542.742 Td [(sor)-28(t)]TJ -ET -q -1 0 0 1 253.559 542.941 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S -Q -BT -/F11 9.9626 Tf 256.548 542.742 Td [(ov)-36(w)]TJ -ET -q -1 0 0 1 274.562 542.941 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S -Q -BT -/F11 9.9626 Tf 277.55 542.742 Td [(idx)]TJ -ET -q -1 0 0 1 292.46 542.941 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S -Q -BT -/F8 9.9626 Tf 297.966 542.742 Td [(then)-253(the)-252(en)27(tries)-252(in)]TJ/F11 9.9626 Tf 80.169 0 Td [(ix)]TJ/F8 9.9626 Tf 9.126 0 Td [(\0501)-278(:)]TJ/F11 9.9626 Tf 17.158 0 Td [(n)]TJ/F8 9.9626 Tf 5.98 0 Td [(\051)-253(where)]TJ/F11 9.9626 Tf 34.397 0 Td [(n)]TJ/F8 9.9626 Tf 8.498 0 Td [(is)-253(the)-252(size)]TJ -277.683 -11.956 Td [(of)]TJ/F11 9.9626 Tf 11.911 0 Td [(x)]TJ/F8 9.9626 Tf 9.579 0 Td [(are)-390(initialized)-390(to)]TJ/F11 9.9626 Tf 76.439 0 Td [(ix)]TJ/F8 9.9626 Tf 9.127 0 Td [(\050)]TJ/F11 9.9626 Tf 3.874 0 Td [(i)]TJ/F8 9.9626 Tf 3.432 0 Td [(\051)]TJ/F14 9.9626 Tf 7.582 0 Td [(\040)]TJ/F11 9.9626 Tf 13.67 0 Td [(i)]TJ/F8 9.9626 Tf 3.432 0 Td [(;)-418(th)28(us,)-405(u)1(p)-28(on)-390(return)-390(from)-390(the)-390(subroutine,)]TJ -139.046 -11.955 Td [(for)-333(eac)27(h)-333(index)]TJ/F11 9.9626 Tf 64.505 0 Td [(i)]TJ/F8 9.9626 Tf 6.752 0 Td [(w)28(e)-333(ha)27(v)28(e)-333(in)]TJ/F11 9.9626 Tf 49.256 0 Td [(ix)]TJ/F8 9.9626 Tf 9.126 0 Td [(\050)]TJ/F11 9.9626 Tf 3.875 0 Td [(i)]TJ/F8 9.9626 Tf 3.432 0 Td [(\051)-333(the)-333(p)-28(osition)-333(that)-333(the)-334(item)]TJ/F11 9.9626 Tf 123.751 0 Td [(x)]TJ/F8 9.9626 Tf 5.694 0 Td [(\050)]TJ/F11 9.9626 Tf 3.874 0 Td [(i)]TJ/F8 9.9626 Tf 3.432 0 Td [(\051)-333(o)-28(ccupied)]TJ -273.697 -11.955 Td [(in)-333(the)-334(original)-333(data)-333(sequence;)]TJ + 0 -19.925 Td [(x)]TJ 0 g 0 G - -12.73 -19.925 Td [(5.)]TJ +/F8 9.9626 Tf 11.028 0 Td [(In)28(teger)-334(ind)1(ic)-1(es.)]TJ 13.879 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.378 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in,)-383(inout)]TJ/F8 9.9626 Tf 42.646 0 Td [(.)]TJ -76.131 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-444(a)-334(scalar)-333(or)-334(a)-333(rank)-333(one)-333(in)27(teger)-333(arra)28(y)83(.)]TJ 0 g 0 G - [-500(If)]TJ/F11 9.9626 Tf 23.404 0 Td [(f)-108(l)-19(ag)]TJ/F8 9.9626 Tf 23.446 0 Td [(=)]TJ/F11 9.9626 Tf 11.701 0 Td [(psb)]TJ -ET -q -1 0 0 1 235.988 487.15 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S -Q -BT -/F11 9.9626 Tf 238.977 486.951 Td [(sor)-28(t)]TJ +/F27 9.9626 Tf -24.907 -31.88 Td [(desc)]TJ ET q -1 0 0 1 257.443 487.15 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +1 0 0 1 172.619 546.469 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S Q BT -/F11 9.9626 Tf 260.432 486.951 Td [(k)-31(ee)-1(p)]TJ +/F27 9.9626 Tf 176.057 546.27 Td [(a)]TJ +0 g 0 G +/F8 9.9626 Tf 10.55 0 Td [(the)-333(comm)27(unication)-333(descriptor.)]TJ -10.996 -11.955 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[-500(If)-391(the)-390(user)-391(whishes)-391(to)-390(use)-391(m)28(ultiple)-391(comm)28(unication)-391(con)28(texts)-391(in)-390(the)-391(same)]TJ 12.73 -11.955 Td [(program,)-485(or)-455(to)-455(en)28(ter)-455(and)-454(exit)-455(m)27(u)1(ltiple)-455(times)-455(in)28(to)-455(the)-455(parallel)-455(en)28(viron-)]TJ 0 -11.955 Td [(men)28(t,)-494(this)-462(routine)-462(ma)28(y)-462(b)-28(e)-462(called)-462(to)-462(selectiv)28(ely)-462(close)-462(the)-462(con)27(texts)-462(with)]TJ/F30 9.9626 Tf 0 -11.955 Td [(close=.false.)]TJ/F8 9.9626 Tf 67.994 0 Td [(,)-244(while)-223(on)-222(the)-222(last)-222(call)-223(it)-222(should)-222(b)-28(e)-222(called)-222(with)]TJ/F30 9.9626 Tf 194.327 0 Td [(close=.true.)]TJ/F8 9.9626 Tf -262.321 -11.955 Td [(to)-333(sh)27(u)1(tdo)27(wn)-333(in)-333(a)-334(clean)-333(w)28(a)28(y)-334(the)-333(en)28(tire)-334(parallel)-333(en)28(vironmen)28(t.)]TJ 0 g 0 G - 139.477 -212.744 Td [(102)]TJ + 0 -20.479 Td [(ro)32(w)]TJ 0 g 0 G -ET - -endstream -endobj -1527 0 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[(ev)28(en)-334(on)-333(pro)-28(cesses)-333(di\013eren)28(t)-334(from)-333(the)-333(\014nal)-334(result)-333(destination.)]TJ -0 g 0 G - -12.73 -19.925 Td [(2.)]TJ -0 g 0 G - [-500(The)]TJ/F30 9.9626 Tf 33.209 0 Td [(dat)]TJ/F8 9.9626 Tf 19.012 0 Td [(argumen)28(t)-333(m)-1(a)28(y)-333(also)-333(b)-28(e)-334(a)-333(long)-333(in)28(teger)-334(scalar.)]TJ +/F8 9.9626 Tf 21.372 0 Td [(On)-333(pro)-28(cesses)-334(oth)1(e)-1(r)-333(than)-333(ro)-28(ot,)-333(the)-333(data)-334(to)-333(b)-28(e)-333(broadcast.)]TJ 3.535 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf 29.756 0 Td [(.)]TJ -62.135 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -71.509 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-339(as:)-458(an)-339(in)28(te)-1(ger,)-341(real)-340(or)-339(complex)-340(v)56(ariable,)-342(whic)28(h)-340(ma)28(y)-339(b)-28(e)-340(a)-340(scalar,)]TJ 0 -11.955 Td [(or)-346(a)-346(rank)-347(1)-346(or)-346(2)-346(arra)28(y)83(,)-349(or)-347(a)-346(c)28(haracter)-346(or)-347(l)1(ogic)-1(al)-346(scalar.)-829(T)28(yp)-28(e,)-350(k)1(ind,)-350(rank)]TJ 0 -11.956 Td [(and)-333(size)-334(m)28(ust)-333(agree)-334(on)-333(all)-333(pro)-28(cesses.)]TJ 0 g 0 G - 99.986 -97.177 Td [(113)]TJ + 139.477 -170.9 Td [(111)]TJ 0 g 0 G ET endstream endobj -1584 0 obj +1595 0 obj << -/Length 5369 +/Length 5199 >> stream 0 g 0 G @@ -19645,51 +19621,54 @@ q []0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q BT -/F16 11.9552 Tf 175.796 706.129 Td [(snd)-375(|)-375(Send)-375(data)]TJ +/F16 11.9552 Tf 175.796 706.129 Td [(sum)-375(|)-375(Global)-375(sum)]TJ 0 g 0 G 0 g 0 G -/F30 9.9626 Tf -25.091 -18.389 Td [(call)-525(psb_snd\050icontxt,)-525(dat,)-525(dst,)-525(m\051)]TJ/F8 9.9626 Tf 14.944 -21.918 Td [(This)-333(subroutine)-334(sends)-333(a)-333(pac)28(k)27(et)-333(of)-333(data)-334(to)-333(a)-333(destination.)]TJ +/F30 9.9626 Tf -25.091 -18.389 Td [(call)-525(psb_sum\050icontxt,)-525(dat,)-525(root\051)]TJ/F8 9.9626 Tf 14.944 -21.918 Td [(This)-318(subroutine)-319(impl)1(e)-1(men)28(ts)-318(a)-318(s)-1(u)1(m)-319(reduction)-318(op)-28(eration)-318(based)-318(on)-319(the)-318(under-)]TJ -14.944 -11.955 Td [(lying)-333(comm)27(un)1(ic)-1(ati)1(on)-334(library)84(.)]TJ 0 g 0 G -/F27 9.9626 Tf -14.944 -19.926 Td [(T)32(yp)-32(e:)]TJ +/F27 9.9626 Tf 0 -19.926 Td [(T)32(yp)-32(e:)]TJ 0 g 0 G -/F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous:)-444(s)-1(ee)-333(usage)-333(notes.)]TJ +/F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ 0 g 0 G /F27 9.9626 Tf -33.797 -19.925 Td [(On)-383(En)32(try)]TJ 0 g 0 G 0 g 0 G 0 -19.925 Td [(icon)32(txt)]TJ 0 g 0 G -/F8 9.9626 Tf 39.989 0 Td [(the)-333(comm)27(unication)-333(con)28(text)-333(iden)27(tifyi)1(ng)-334(the)-333(virtual)-333(parallel)-334(mac)28(hine.)]TJ -15.082 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(global)]TJ/F8 9.9626 Tf 29.756 0 Td [(.)]TJ -62.134 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -71.509 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-444(an)-334(in)28(teger)-333(v)55(ariable.)]TJ +/F8 9.9626 Tf 39.989 0 Td [(the)-333(comm)27(unication)-333(con)28(text)-333(iden)27(tifyi)1(ng)-334(the)-333(virtual)-333(parallel)-334(mac)28(hine.)]TJ -15.082 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(global)]TJ/F8 9.9626 Tf 29.756 0 Td [(.)]TJ -62.134 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -71.509 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-444(an)-334(in)28(teger)-333(v)55(ariable.)]TJ 0 g 0 G /F27 9.9626 Tf -24.907 -19.925 Td [(dat)]TJ 0 g 0 G -/F8 9.9626 Tf 21.371 0 Td [(The)-333(data)-334(to)-333(b)-28(e)-333(sen)28(t.)]TJ 3.536 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -55.451 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -71.509 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-339(as:)-458(an)-339(in)28(tege)-1(r,)-341(real)-339(or)-340(complex)-340(v)56(ariable,)-342(whic)28(h)-339(m)-1(a)28(y)-339(b)-28(e)-340(a)-340(scalar,)]TJ 0 -11.955 Td [(or)-381(a)-381(rank)-381(1)-381(or)-381(2)-381(arra)28(y)83(,)-393(or)-381(a)-381(c)28(haracte)-1(r)-381(or)-381(logical)-381(scalar.)-968(T)27(yp)-27(e,)-393(kind)-381(and)]TJ 0 -11.955 Td [(rank)-327(m)27(ust)-327(agree)-328(on)-327(sender)-328(and)-327(receiv)28(e)-1(r)-327(pro)-28(cess;)-329(if)]TJ/F11 9.9626 Tf 220.724 0 Td [(m)]TJ/F8 9.9626 Tf 12.01 0 Td [(is)-328(n)1(o)-1(t)-327(sp)-28(eci\014ed,)-328(s)-1(ize)]TJ -232.734 -11.955 Td [(m)28(ust)-334(agree)-333(as)-333(w)27(ell.)]TJ +/F8 9.9626 Tf 21.371 0 Td [(The)-333(lo)-28(cal)-333(c)-1(on)28(tribution)-333(to)-333(the)-334(gl)1(obal)-334(sum.)]TJ 3.536 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(global)]TJ/F8 9.9626 Tf 29.756 0 Td [(.)]TJ -62.134 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -71.509 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(inout)]TJ/F8 9.9626 Tf 26.097 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-339(as:)-458(an)-339(in)28(tege)-1(r,)-341(real)-339(or)-340(complex)-340(v)56(ariable,)-342(whic)28(h)-339(m)-1(a)28(y)-339(b)-28(e)-340(a)-340(scalar,)]TJ 0 -11.955 Td [(or)-464(a)-464(ran)1(k)-464(1)-464(or)-464(2)-464(arra)28(y)83(.)-1299(T)28(yp)-28(e,)-497(kind)1(,)-497(rank)-464(and)-463(size)-464(m)27(ust)-463(agree)-464(on)-464(all)]TJ 0 -11.955 Td [(pro)-28(cesses.)]TJ 0 g 0 G -/F27 9.9626 Tf -24.907 -19.926 Td [(dst)]TJ +/F27 9.9626 Tf -24.907 -19.926 Td [(ro)-32(ot)]TJ 0 g 0 G -/F8 9.9626 Tf 20.321 0 Td [(Destination)-333(pro)-28(cess.)]TJ 4.586 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(global)]TJ/F8 9.9626 Tf 29.757 0 Td [(.)]TJ -62.135 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -71.509 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-444(a)-1(n)-333(in)28(teger)-333(v)55(alue)-333(0)]TJ/F11 9.9626 Tf 138.176 0 Td [(<)]TJ/F8 9.9626 Tf 7.749 0 Td [(=)]TJ/F11 9.9626 Tf 10.516 0 Td [(dst)-278(<)]TJ/F8 9.9626 Tf 23.969 0 Td [(=)]TJ/F11 9.9626 Tf 10.516 0 Td [(np)]TJ/F14 9.9626 Tf 13.206 0 Td [(\000)]TJ/F8 9.9626 Tf 9.963 0 Td [(1.)]TJ +/F8 9.9626 Tf 25.93 0 Td [(Pro)-28(cess)-310(to)-309(hold)-310(the)-310(\014nal)-310(sum,)-314(or)]TJ/F14 9.9626 Tf 144.053 0 Td [(\000)]TJ/F8 9.9626 Tf 7.749 0 Td [(1)-310(to)-310(mak)28(e)-310(it)-309(a)27(v)56(ailable)-310(on)-310(al)1(l)-310(pro)-28(cesses.)]TJ -152.825 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(global)]TJ/F8 9.9626 Tf 29.756 0 Td [(.)]TJ -62.134 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -70.188 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-444(an)-334(in)28(teger)-333(v)55(alue)]TJ/F14 9.9626 Tf 130.427 0 Td [(\000)]TJ/F8 9.9626 Tf 7.749 0 Td [(1)]TJ/F11 9.9626 Tf 7.749 0 Td [(<)]TJ/F8 9.9626 Tf 7.749 0 Td [(=)]TJ/F11 9.9626 Tf 10.516 0 Td [(r)-28(oot)-278(<)]TJ/F8 9.9626 Tf 28.543 0 Td [(=)]TJ/F11 9.9626 Tf 10.516 0 Td 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[-353(sho)28(ws)-353(the)-353(la)28(y)27(out)-353(of)-352(a)-353(ge)-1(n)1(e)-1(ri)1(c)]TJ/F30 9.9626 Tf 170.683 0 Td [(psb_foo)]TJ/F8 9.9626 Tf 40.129 0 Td [(routine)-353(with)-353(resp)-28(ect)-353(to)-353(the)]TJ -225.756 -11.955 Td [(PSBLAS-2.0)-326(error)-326(hand)1(ling)-326(p)-28(olicy)83(.)-442(It)-325(is)-326(p)-28(ossible)-326(to)-326(see)-326(ho)28(w,)-327(whenev)28(e)-1(r)-325(an)-326(error)]TJ 0 -11.955 Td [(condition)-379(is)-378(detected,)-390(the)]TJ/F30 9.9626 Tf 115.439 0 Td [(info)]TJ/F8 9.9626 Tf 24.694 0 Td [(v)56(ariable)-379(is)-379(set)-379(to)-378(the)-379(corresp)-28(onding)-378(error)-379(co)-28(de)]TJ -140.133 -11.955 Td [(whic)28(h)-376(is,)-387(then,)-386(pushed)-376(on)-376(top)-376(of)-376(the)-376(stac)28(k)-376(b)28(y)-376(means)-376(of)-376(the)]TJ/F30 9.9626 Tf 264.702 0 Td [(psb_errpush)]TJ/F8 9.9626 Tf 57.534 0 Td [(.)-572(An)]TJ -322.236 -11.955 Td [(error)-331(condition)-331(ma)28(y)-331(b)-28(e)-331(directly)-331(detected)-331(inside)-331(a)-331(routine)-331(or)-331(indirectly)-331(c)27(h)1(e)-1(c)28(king)]TJ 0 -11.956 Td [(the)-461(e)-1(rr)1(or)-462(co)-28(de)-461(returned)-462(returned)-461(b)28(y)-462(a)-461(called)-462(routine.)-829(Whenev)28(er)-461(an)-462(error)-461(is)]TJ 0 -11.955 Td [(encoun)28(tered,)-459(after)-434(it)-434(has)-433(b)-28(een)-434(pushed)-434(on)-434(stac)28(k,)-459(the)-434(program)-433(execution)-434(skips)]TJ 0 -11.955 Td [(to)-356(a)-356(p)-27(oin)28(t)-356(where)-356(the)-356(error)-355(condition)-356(is)-356(handled;)-367(the)-355(error)-356(condition)-356(is)-356(han)1(dled)]TJ 0 -11.955 Td [(either)-392(b)28(y)-392(returning)-392(con)28(trol)-392(to)-392(the)-392(caller)-391(routine)-392(or)-392(b)28(y)-392(calling)-392(the)]TJ/F30 9.9626 Tf 291.408 0 Td [(psb\134_error)]TJ/F8 9.9626 Tf -291.408 -11.955 Td [(routine)-478(whic)28(h)-479(pr)1(in)27(ts)-478(the)-478(con)28(ten)27(t)-478(of)-478(the)-478(error)-478(s)-1(tac)28(k)-478(and)-478(ab)-28(orts)-478(the)-478(program)]TJ 0 -11.955 Td [(execution,)-329(ac)-1(cord)1(ing)-329(to)-328(the)-329(c)28(hoice)-329(made)-328(b)27(y)-328(the)-329(user)-328(with)]TJ/F30 9.9626 Tf 252.028 0 Td [(psb_set_erraction)]TJ/F8 9.9626 Tf 88.916 0 Td [(.)]TJ -340.944 -11.956 Td [(The)-347(default)-346(is)-347(to)-346(prin)28(t)-347(the)-347(error)-346(and)-347(terminate)-346(the)-347(program,)-350(but)-346(the)-347(user)-346(ma)27(y)]TJ 0 -11.955 Td [(c)28(ho)-28(ose)-333(to)-334(handle)-333(the)-333(error)-334(explicitly)84(.)]TJ 14.944 -11.955 Td [(Figure)]TJ -0 0 1 rg 0 0 1 RG - [-479(10)]TJ 0 g 0 G - [-479(rep)-28(orts)-479(a)-479(sample)-480(error)-479(message)-479(generated)-479(b)28(y)-480(the)-479(PSBLAS-2.0)]TJ -14.944 -11.955 Td [(library)83(.)-451(This)-335(error)-336(has)-335(b)-28(een)-336(generated)-335(b)27(y)-335(the)-336(fact)-335(that)-336(the)-335(use)-1(r)-335(has)-336(c)28(hosen)-336(th)1(e)]TJ 0 -11.955 Td [(in)28(v)55(alid)-367(\134F)28(OO")-368(storage)-367(format)-368(to)-367(represen)27(t)-367(the)-368(sparse)-367(matrix.)-547(F)83(rom)-367(this)-368(error)]TJ 0 -11.955 Td [(message)-248(it)-248(is)-248(p)-27(oss)-1(i)1(ble)-248(to)-248(see)-248(that)-248(the)-248(error)-247(has)-248(b)-28(een)-248(detected)-248(inside)-248(th)1(e)]TJ/F30 9.9626 Tf 301.868 0 Td [(psb_cest)]TJ/F8 9.9626 Tf -301.868 -11.956 Td [(subroutine)-333(called)-334(b)28(y)]TJ/F30 9.9626 Tf 91.407 0 Td [(psb_spasb)]TJ/F8 9.9626 Tf 50.394 0 Td [(...)-444(b)27(y)-333(pro)-28(cess)-333(0)-333(\050i.e.)-445(the)-333(ro)-28(ot)-333(pro)-28(cess\051.)]TJ +/F30 9.9626 Tf -25.091 -18.389 Td [(call)-525(psb_min\050icontxt,)-525(dat,)-525(root\051)]TJ/F8 9.9626 Tf 14.944 -21.918 Td [(This)-311(subroutine)-312(implemen)28(ts)-311(a)-312(minim)28(um)-311(v)55(alue)-311(reduction)-312(op)-27(eration)-312(based)-311(on)]TJ -14.944 -11.955 Td [(the)-333(underlying)-333(com)-1(m)28(unication)-333(library)83(.)]TJ +0 g 0 G +/F27 9.9626 Tf 0 -19.926 Td [(T)32(yp)-32(e:)]TJ 0 g 0 G - 22.583 -211.304 Td [(116)]TJ +/F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ +0 g 0 G +/F27 9.9626 Tf -33.797 -19.925 Td [(On)-383(En)32(try)]TJ +0 g 0 G +0 g 0 G + 0 -19.925 Td [(icon)32(txt)]TJ +0 g 0 G +/F8 9.9626 Tf 39.989 0 Td [(the)-333(comm)27(unication)-333(con)28(text)-333(iden)27(tifyi)1(ng)-334(the)-333(virtual)-333(parallel)-334(mac)28(hine.)]TJ -15.082 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(global)]TJ/F8 9.9626 Tf 29.756 0 Td [(.)]TJ -62.134 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -71.509 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-444(an)-334(in)28(teger)-333(v)55(ariable.)]TJ +0 g 0 G +/F27 9.9626 Tf -24.907 -19.925 Td [(dat)]TJ +0 g 0 G +/F8 9.9626 Tf 21.371 0 Td [(The)-333(lo)-28(cal)-333(c)-1(on)28(tribution)-333(to)-333(the)-334(gl)1(obal)-334(minim)28(um.)]TJ 3.536 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -55.451 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -71.509 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(inout)]TJ/F8 9.9626 Tf 26.097 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-326(as:)-442(an)-326(in)27(teger)-326(or)-327(real)-327(v)56(ariable,)-328(whic)28(h)-327(ma)28(y)-327(b)-28(e)-327(a)-326(s)-1(calar,)-328(or)-326(a)-327(rank)]TJ 0 -11.955 Td [(1)-333(or)-334(2)-333(arra)28(y)83(.)-778(T)28(yp)-27(e)-1(,)-333(kind,)-333(rank)-333(and)-334(size)-333(m)28(ust)-334(agree)-333(on)-333(all)-334(pro)-27(cesse)-1(s.)]TJ +0 g 0 G +/F27 9.9626 Tf -24.907 -19.925 Td [(ro)-32(ot)]TJ +0 g 0 G +/F8 9.9626 Tf 25.93 0 Td [(Pro)-28(cess)-276(to)-276(hold)-276(the)-276(\014nal)-276(v)56(alue,)-287(or)]TJ/F14 9.9626 Tf 146.411 0 Td [(\000)]TJ/F8 9.9626 Tf 7.749 0 Td [(1)-276(to)-276(mak)28(e)-276(it)-276(a)28(v)55(ailable)-276(on)-276(all)-276(pr)1(o)-28(cesses)-1(.)]TJ -155.183 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(global)]TJ/F8 9.9626 Tf 29.756 0 Td [(.)]TJ -62.134 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -70.188 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-444(an)-334(in)28(teger)-333(v)55(alue)]TJ/F14 9.9626 Tf 130.427 0 Td [(\000)]TJ/F8 9.9626 Tf 7.749 0 Td [(1)]TJ/F11 9.9626 Tf 7.749 0 Td [(<)]TJ/F8 9.9626 Tf 7.748 0 Td [(=)]TJ/F11 9.9626 Tf 10.517 0 Td [(r)-28(oot)-278(<)]TJ/F8 9.9626 Tf 28.543 0 Td [(=)]TJ/F11 9.9626 Tf 10.516 0 Td [(np)]TJ/F14 9.9626 Tf 13.206 0 Td [(\000)]TJ/F8 9.9626 Tf 9.963 0 Td [(1,)-333(default)-334(-1.)]TJ +0 g 0 G +/F27 9.9626 Tf -251.325 -33.873 Td [(On)-383(Return)]TJ +0 g 0 G +0 g 0 G + 0 -19.925 Td [(dat)]TJ +0 g 0 G +/F8 9.9626 Tf 21.371 0 Td [(On)-333(destination)-334(p)1(ro)-28(cess\050es)-1(\051)1(,)-334(the)-333(result)-333(of)-334(the)-333(minim)28(um)-334(op)-27(eration.)]TJ 3.536 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(global)]TJ/F8 9.9626 Tf 29.757 0 Td [(.)]TJ -62.135 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -71.509 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(inout)]TJ/F8 9.9626 Tf 26.097 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-326(as:)-442(an)-326(in)27(teger)-326(or)-327(real)-327(v)56(ariable,)-328(whic)28(h)-327(ma)28(y)-327(b)-28(e)-327(a)-326(s)-1(calar,)-328(or)-326(a)-327(rank)]TJ 0 -11.955 Td [(1)-333(or)-334(2)-333(arra)28(y)83(.)]TJ 0 -11.955 Td [(T)28(yp)-28(e,)-333(kind,)-333(rank)-334(and)-333(size)-333(m)27(ust)-333(agree)-333(on)-334(all)-333(pro)-28(cesses.)]TJ/F16 11.9552 Tf -24.907 -21.918 Td [(Notes)]TJ +0 g 0 G +/F8 9.9626 Tf 12.177 -19.925 Td [(1.)]TJ +0 g 0 G + [-500(The)]TJ/F30 9.9626 Tf 32.469 0 Td [(dat)]TJ/F8 9.9626 Tf 18.272 0 Td [(argumen)28(t)-259(is)-259(b)-28(oth)-259(input)-259(and)-259(output,)-274(and)-259(its)-259(v)55(alue)-259(ma)28(y)-259(b)-28(e)-259(c)28(hanged)]TJ -38.011 -11.956 Td [(ev)28(en)-334(on)-333(pro)-28(cesses)-333(di\013eren)28(t)-334(from)-333(the)-333(\014nal)-334(result)-333(destination.)]TJ +0 g 0 G + -12.73 -19.925 Td [(2.)]TJ +0 g 0 G + [-500(The)]TJ/F30 9.9626 Tf 33.208 0 Td [(dat)]TJ/F8 9.9626 Tf 19.012 0 Td [(argumen)28(t)-334(ma)28(y)-333(also)-334(b)-27(e)-334(a)-333(long)-333(in)28(teger)-334(scalar.)]TJ +0 g 0 G + 99.987 -109.132 Td [(114)]TJ 0 g 0 G ET endstream endobj -1603 0 obj +1613 0 obj << -/Length 7220 +/Length 5239 >> stream 0 g 0 G 0 g 0 G -0 g 0 G -0 g 0 G -0 g 0 G -BT -/F53 8.9664 Tf 108.801 680.066 Td [(s)-60(u)-60(b)-60(r)-59(o)-60(u)-60(t)-60(i)-60(n)-60(e)]TJ/F46 8.9664 Tf 61.47 0 Td [(p)-132(s)-132(b)]TJ -ET -q -1 0 0 1 188.254 680.265 cm -[]0 d 0 J 0.398 w 0 0 m 2.765 0 l S -Q -BT -/F46 8.9664 Tf 192.204 680.066 Td [(f)-132(o)-132(o)-241(\050)-155(s)-47(o)-47(m)-47(e)-768(a)-105(r)-106(g)-105(s)-376(,)-939(i)-156(n)-157(f)-156(o)-265(\051)]TJ -65.125 -10.959 Td [(.)-248(.)-249(.)]TJ/F53 8.9664 Tf -0.604 -10.959 Td [(i)-181(f)]TJ/F46 8.9664 Tf 10.408 0 Td [(\050)-260(e)-151(r)-151(r)-151(o)-151(r)-897(d)-129(e)-129(t)-130(e)-129(c)-129(t)-129(e)-130(d)-237(\051)]TJ/F53 8.9664 Tf 93.292 0 Td [(t)-30(h)-29(e)-30(n)]TJ/F46 8.9664 Tf -87.332 -10.959 Td 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-1 0 0 1 171.016 592.594 cm -[]0 d 0 J 0.398 w 0 0 m 2.765 0 l S +1 0 0 1 120.951 706.328 cm +[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q BT -/F46 8.9664 Tf 174.803 592.394 Td [(b)-114(a)-114(r)-223(\050)-155(s)-47(o)-46(m)-47(e)-769(a)-105(r)-105(g)-105(s)-377(,)-938(i)-157(n)-156(f)-157(o)-265(\051)]TJ/F53 8.9664 Tf -48.328 -10.958 Td [(i)-181(f)]TJ/F46 8.9664 Tf 10.408 0 Td [(\050)-265(i)-156(n)-157(f)-156(o)-939(.)]TJ/F53 8.9664 Tf 37.831 0 Td [(n)-11(e)]TJ/F46 8.9664 Tf 12.445 0 Td [(.)-910(z)-127(e)-127(r)-128(o)-235(\051)]TJ/F53 8.9664 Tf 43.016 0 Td [(t)-30(h)-29(e)-30(n)]TJ/F46 8.9664 Tf -87.332 -10.959 Td [(i)-156(n)-157(f)-156(o)-65(=)-38(e)-129(r)-128(r)-129(c)-129(o)-129(d)-129(e)-129(2)]TJ/F53 8.9664 Tf -0.133 -10.959 Td [(c)-142(a)-141(l)-142(l)]TJ/F46 8.9664 Tf 27.487 0 Td [(p)-124(s)-124(b)]TJ -ET -q -1 0 0 1 187.956 559.717 cm -[]0 d 0 J 0.398 w 0 0 m 2.765 0 l S -Q -BT -/F46 8.9664 Tf 191.831 559.518 Td 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[(argumen)28(t)-334(ma)28(y)-333(also)-334(b)-27(e)-334(a)-333(long)-333(in)28(teger)-334(scalar.)]TJ +0 g 0 G + 99.987 -97.177 Td [(116)]TJ 0 g 0 G ET endstream endobj -1639 0 obj +1626 0 obj << -/Length 1398 +/Length 6189 >> stream 0 g 0 G 0 g 0 G -0 g 0 G -0 g 0 G -BT -/F16 14.3462 Tf 99.895 680.226 Td [(psb)]TJ -ET -q -1 0 0 1 125.163 680.425 cm -[]0 d 0 J 0.398 w 0 0 m 4.842 0 l S -Q BT -/F16 14.3462 Tf 130.004 680.226 Td [(error|Prin)31(ts)-375(the)-375(error)-375(stac)32(k)-375(con)31(ten)31(t)-375(and)]TJ -30.109 -17.933 Td [(ab)-31(orts)-375(execution)]TJ/F27 9.9626 Tf 1.377 -35.768 Td [(c)-138(a)-138(l)-139(l)]TJ/F8 9.9626 Tf 29.921 0 Td [(p)-141(s)-142(b)]TJ +/F16 11.9552 Tf 99.895 706.129 Td [(psb)]TJ ET q -1 0 0 1 151.02 626.724 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +1 0 0 1 120.951 706.328 cm +[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q BT -/F8 9.9626 Tf 155.418 626.525 Td [(e)-142(r)-141(r)-142(o)-141(r)-247(\050)-245(i)-140(c)-139(o)-140(n)-140(t)-139(x)-140(t)-245(\051)]TJ +/F16 11.9552 Tf 124.986 706.129 Td [(nrm2)-375(|)-375(Global)-375(2-norm)-375(reduction)]TJ 0 g 0 G 0 g 0 G +/F30 9.9626 Tf -25.091 -18.389 Td [(call)-525(psb_nrm2\050icontxt,)-525(dat,)-525(root\051)]TJ/F8 9.9626 Tf 14.944 -19.604 Td [(This)-425(subroutine)-426(imp)1(le)-1(men)28(ts)-425(a)-425(2-norm)-426(v)56(alue)-425(reduction)-426(op)-27(eration)-426(based)-425(on)]TJ -14.944 -11.955 Td [(the)-333(underlying)-334(comm)28(unication)-333(library)83(.)]TJ 0 g 0 G -/F27 9.9626 Tf -55.523 -17.933 Td [(T)32(yp)-32(e:)]TJ +/F27 9.9626 Tf 0 -18.074 Td [(T)32(yp)-32(e:)]TJ 0 g 0 G -/F8 9.9626 Tf 33.797 0 Td [(Async)28(hronous.)]TJ +/F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ 0 g 0 G -/F27 9.9626 Tf -33.797 -19.925 Td [(On)-383(En)32(try)]TJ +/F27 9.9626 Tf -33.797 -19 Td [(On)-383(En)32(try)]TJ 0 g 0 G 0 g 0 G - 0 -19.926 Td [(icon)32(txt)]TJ + 0 -19 Td [(icon)32(txt)]TJ 0 g 0 G -/F8 9.9626 Tf 39.989 0 Td [(the)-333(comm)27(unication)-333(con)28(text.)]TJ -15.082 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger.)]TJ +/F8 9.9626 Tf 39.989 0 Td [(the)-333(comm)27(unication)-333(con)28(text)-333(iden)27(tifyin)1(g)-334(the)-333(virtual)-333(parallel)-334(mac)28(hine.)]TJ -15.082 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf 29.756 0 Td [(.)]TJ -62.135 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -71.509 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(v)55(ariable.)]TJ 0 g 0 G - 139.477 -430.483 Td [(119)]TJ +/F27 9.9626 Tf -24.907 -19 Td [(dat)]TJ 0 g 0 G -ET - -endstream -endobj -1645 0 obj -<< -/Length 1632 ->> -stream +/F8 9.9626 Tf 21.371 0 Td [(The)-333(lo)-28(cal)-334(con)28(tribution)-333(to)-333(the)-334(global)-333(minim)28(um.)]TJ 3.536 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -55.452 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -71.509 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-421(as:)-619(a)-421(real)-421(v)55(ariable,)-443(whic)28(h)-421(ma)28(y)-421(b)-28(e)-421(a)-421(scalar,)-443(or)-421(a)-420(rank)-421(1)-421(arra)28(y)83(.)]TJ 0 -11.955 Td [(Kind,)-333(rank)-333(and)-334(size)-333(m)28(ust)-334(agree)-333(on)-333(all)-334(pro)-27(ce)-1(sses.)]TJ 0 g 0 G +/F27 9.9626 Tf -24.907 -19 Td [(ro)-32(ot)]TJ 0 g 0 G +/F8 9.9626 Tf 25.931 0 Td [(Pro)-28(cess)-276(to)-276(hold)-276(the)-276(\014nal)-275(v)55(alue,)-287(or)]TJ/F14 9.9626 Tf 146.411 0 Td [(\000)]TJ/F8 9.9626 Tf 7.749 0 Td [(1)-276(to)-276(mak)28(e)-276(it)-276(a)28(v)55(ailable)-276(on)-276(all)-276(p)1(ro)-28(cesses.)]TJ -155.184 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf 29.756 0 Td [(.)]TJ -62.135 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -70.188 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(v)55(alue)]TJ/F14 9.9626 Tf 130.428 0 Td [(\000)]TJ/F8 9.9626 Tf 7.749 0 Td [(1)]TJ/F11 9.9626 Tf 7.748 0 Td [(<)]TJ/F8 9.9626 Tf 7.749 0 Td [(=)]TJ/F11 9.9626 Tf 10.516 0 Td [(r)-28(oot)-278(<)]TJ/F8 9.9626 Tf 28.543 0 Td [(=)]TJ/F11 9.9626 Tf 10.517 0 Td [(np)]TJ/F14 9.9626 Tf 13.206 0 Td [(\000)]TJ/F8 9.9626 Tf 9.962 0 Td [(1,)-333(default)-334(-1.)]TJ 0 g 0 G +/F27 9.9626 Tf -251.325 -31.559 Td [(On)-383(Return)]TJ 0 g 0 G -BT -/F16 14.3462 Tf 150.705 680.226 Td [(psb)]TJ +0 g 0 G + 0 -19 Td [(dat)]TJ +0 g 0 G +/F8 9.9626 Tf 21.372 0 Td [(On)-333(destination)-333(pro)-28(cess\050es\051,)-334(the)-333(result)-333(of)-334(the)-333(2-norm)-333(reduction.)]TJ 3.535 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf 29.756 0 Td [(.)]TJ -62.135 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf 41.899 0 Td [(.)]TJ -71.51 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(real)-333(v)55(ariable,)-333(whic)28(h)-333(ma)27(y)-333(b)-28(e)-333(a)-333(sc)-1(alar)1(,)-334(or)-333(a)-333(rank)-334(1)-333(arra)28(y)83(.)]TJ 0 -11.955 Td [(Kind,)-333(rank)-333(and)-334(size)-333(m)28(ust)-334(agree)-333(on)-333(all)-334(pro)-27(ce)-1(sses.)]TJ/F16 11.9552 Tf -24.907 -19.603 Td [(Notes)]TJ +0 g 0 G +/F8 9.9626 Tf 12.177 -18.075 Td [(1.)]TJ +0 g 0 G + [-500(This)-416(reduction)-416(is)-416(appropriate)-416(to)-416(compute)-416(the)-417(results)-416(of)-416(m)28(ultiple)-416(\050lo)-28(cal\051)]TJ 12.73 -11.955 Td [(NRM2)-333(op)-28(erations)-333(at)-334(the)-333(same)-334(ti)1(m)-1(e.)]TJ +0 g 0 G + -12.73 -18.999 Td [(2.)]TJ +0 g 0 G + [-500(Denoting)-283(b)28(y)]TJ/F11 9.9626 Tf 68.601 0 Td [(dat)]TJ/F10 6.9738 Tf 14.05 -1.495 Td [(i)]TJ/F8 9.9626 Tf 6.138 1.495 Td [(the)-283(v)55(alue)-283(of)-283(the)-283(v)55(ariable)]TJ/F11 9.9626 Tf 106.29 0 Td [(dat)]TJ/F8 9.9626 Tf 16.87 0 Td [(on)-283(pro)-28(cess)]TJ/F11 9.9626 Tf 47.57 0 Td [(i)]TJ/F8 9.9626 Tf 3.432 0 Td [(,)-293(the)-283(output)]TJ/F11 9.9626 Tf 54.503 0 Td [(r)-28(es)]TJ/F8 9.9626 Tf -304.724 -11.956 Td [(is)-333(equiv)55(alen)28(t)-333(to)-334(the)-333(computation)-333(of)]TJ/F11 9.9626 Tf 122.071 -25.714 Td [(r)-28(es)]TJ/F8 9.9626 Tf 16.847 0 Td [(=)]TJ/F1 9.9626 Tf 10.516 14.335 Td [(s)]TJ ET q -1 0 0 1 175.972 680.425 cm -[]0 d 0 J 0.398 w 0 0 m 4.842 0 l S +1 0 0 1 284.199 204.589 cm +[]0 d 0 J 0.398 w 0 0 m 34.569 0 l S Q BT -/F16 14.3462 Tf 180.814 680.226 Td [(set)]TJ +/F1 9.9626 Tf 284.199 199.519 Td [(X)]TJ/F10 6.9738 Tf 5.786 -21.219 Td [(i)]TJ/F11 9.9626 Tf 10.265 11.754 Td [(dat)]TJ/F7 6.9738 Tf 14.049 3.432 Td [(2)]TJ/F10 6.9738 Tf 0 -6.209 Td [(i)]TJ/F11 9.9626 Tf 4.469 2.777 Td [(;)]TJ/F8 9.9626 Tf -193.966 -30.717 Td [(with)-333(care)-334(tak)28(en)-333(to)-334(a)28(v)28(oid)-333(unnecessary)-334(o)28(v)28(er\015o)28(w.)]TJ +0 g 0 G + -12.73 -19 Td [(3.)]TJ +0 g 0 G + [-500(The)]TJ/F30 9.9626 Tf 32.469 0 Td [(dat)]TJ/F8 9.9626 Tf 18.273 0 Td [(argumen)28(t)-259(is)-259(b)-28(oth)-259(input)-259(and)-259(output,)-274(and)-259(its)-259(v)55(alue)-259(ma)28(y)-259(b)-28(e)-259(c)28(hanged)]TJ -38.012 -11.955 Td [(ev)28(en)-334(on)-333(pro)-28(cesses)-333(di\013eren)28(t)-334(from)-333(the)-333(\014nal)-334(result)-333(destination.)]TJ +0 g 0 G + 139.477 -37.944 Td [(117)]TJ +0 g 0 G ET -q -1 0 0 1 201.789 680.425 cm -[]0 d 0 J 0.398 w 0 0 m 4.842 0 l S -Q + +endstream +endobj +1634 0 obj +<< +/Length 5369 +>> +stream +0 g 0 G +0 g 0 G BT -/F16 14.3462 Tf 206.631 680.226 Td [(errv)31(erb)-31(osit)31(y|Sets)-375(the)-375(v)31(erb)-31(osit)32(y)-376(of)-375(error)]TJ -55.926 -17.933 Td [(messages.)]TJ/F27 9.9626 Tf 1.377 -35.768 Td [(c)-138(a)-138(l)-139(l)]TJ/F8 9.9626 Tf 30.082 0 Td [(p)-158(s)-157(b)]TJ +/F16 11.9552 Tf 150.705 706.129 Td [(psb)]TJ ET q -1 0 0 1 202.473 626.724 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +1 0 0 1 171.761 706.328 cm +[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q BT -/F8 9.9626 Tf 207.032 626.525 Td [(s)-158(e)-157(t)]TJ +/F16 11.9552 Tf 175.796 706.129 Td [(snd)-375(|)-375(Send)-375(data)]TJ +0 g 0 G +0 g 0 G +/F30 9.9626 Tf -25.091 -18.389 Td [(call)-525(psb_snd\050icontxt,)-525(dat,)-525(dst,)-525(m\051)]TJ/F8 9.9626 Tf 14.944 -21.918 Td [(This)-333(subroutine)-334(sends)-333(a)-333(pac)28(k)27(et)-333(of)-333(data)-334(to)-333(a)-333(destination.)]TJ +0 g 0 G +/F27 9.9626 Tf -14.944 -19.926 Td [(T)32(yp)-32(e:)]TJ +0 g 0 G +/F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous:)-444(s)-1(ee)-333(usage)-333(notes.)]TJ +0 g 0 G +/F27 9.9626 Tf -33.797 -19.925 Td [(On)-383(En)32(try)]TJ +0 g 0 G +0 g 0 G + 0 -19.925 Td [(icon)32(txt)]TJ +0 g 0 G +/F8 9.9626 Tf 39.989 0 Td [(the)-333(comm)27(unication)-333(con)28(text)-333(iden)27(tifyi)1(ng)-334(the)-333(virtual)-333(parallel)-334(mac)28(hine.)]TJ -15.082 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(global)]TJ/F8 9.9626 Tf 29.756 0 Td [(.)]TJ -62.134 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -71.509 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-444(an)-334(in)28(teger)-333(v)55(ariable.)]TJ +0 g 0 G +/F27 9.9626 Tf -24.907 -19.925 Td [(dat)]TJ +0 g 0 G +/F8 9.9626 Tf 21.371 0 Td [(The)-333(data)-334(to)-333(b)-28(e)-333(sen)28(t.)]TJ 3.536 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -55.451 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -71.509 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-339(as:)-458(an)-339(in)28(tege)-1(r,)-341(real)-339(or)-340(complex)-340(v)56(ariable,)-342(whic)28(h)-339(m)-1(a)28(y)-339(b)-28(e)-340(a)-340(scalar,)]TJ 0 -11.955 Td [(or)-381(a)-381(rank)-381(1)-381(or)-381(2)-381(arra)28(y)83(,)-393(or)-381(a)-381(c)28(haracte)-1(r)-381(or)-381(logical)-381(scalar.)-968(T)27(yp)-27(e,)-393(kind)-381(and)]TJ 0 -11.955 Td [(rank)-327(m)27(ust)-327(agree)-328(on)-327(sender)-328(and)-327(receiv)28(e)-1(r)-327(pro)-28(cess;)-329(if)]TJ/F11 9.9626 Tf 220.724 0 Td [(m)]TJ/F8 9.9626 Tf 12.01 0 Td [(is)-328(n)1(o)-1(t)-327(sp)-28(eci\014ed,)-328(s)-1(ize)]TJ -232.734 -11.955 Td [(m)28(ust)-334(agree)-333(as)-333(w)27(ell.)]TJ +0 g 0 G +/F27 9.9626 Tf -24.907 -19.926 Td [(dst)]TJ +0 g 0 G +/F8 9.9626 Tf 20.321 0 Td [(Destination)-333(pro)-28(cess.)]TJ 4.586 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(global)]TJ/F8 9.9626 Tf 29.757 0 Td [(.)]TJ -62.135 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -71.509 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-444(a)-1(n)-333(in)28(teger)-333(v)55(alue)-333(0)]TJ/F11 9.9626 Tf 138.176 0 Td [(<)]TJ/F8 9.9626 Tf 7.749 0 Td [(=)]TJ/F11 9.9626 Tf 10.516 0 Td [(dst)-278(<)]TJ/F8 9.9626 Tf 23.969 0 Td [(=)]TJ/F11 9.9626 Tf 10.516 0 Td [(np)]TJ/F14 9.9626 Tf 13.206 0 Td [(\000)]TJ/F8 9.9626 Tf 9.963 0 Td [(1.)]TJ +0 g 0 G +/F27 9.9626 Tf -239.002 -31.881 Td [(m)]TJ +0 g 0 G +/F8 9.9626 Tf 14.529 0 Td [(Num)28(b)-28(er)-333(of)-334(ro)28(ws.)]TJ 10.378 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(global)]TJ/F8 9.9626 Tf 29.757 0 Td [(.)]TJ -62.135 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(Optional)]TJ/F8 9.9626 Tf 43.455 0 Td [(.)]TJ -73.066 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(v)55(alue)-333(0)]TJ/F11 9.9626 Tf 138.176 0 Td [(<)]TJ/F8 9.9626 Tf 7.749 0 Td [(=)]TJ/F11 9.9626 Tf 10.516 0 Td [(m)-278(<)]TJ/F8 9.9626 Tf 19.263 0 Td [(=)]TJ/F11 9.9626 Tf 10.516 0 Td [(siz)-44(e)]TJ/F8 9.9626 Tf 17.813 0 Td [(\050)]TJ/F11 9.9626 Tf 3.874 0 Td [(dat;)]TJ/F8 9.9626 Tf 18.477 0 Td [(1\051.)]TJ -226.384 -11.956 Td [(When)]TJ/F11 9.9626 Tf 29.071 0 Td [(dat)]TJ/F8 9.9626 Tf 17.383 0 Td [(is)-335(a)-334(rank)-335(2)-335(arra)28(y)84(,)-335(sp)-28(eci\014es)-335(the)-335(n)28(um)28(b)-28(er)-334(of)-335(ro)28(ws)-335(to)-335(b)-27(e)-335(sen)28(t)-335(inde-)]TJ -46.454 -11.955 Td [(p)-28(enden)28(tly)-285(of)-285(the)-286(leadin)1(g)-286(dimension)]TJ/F11 9.9626 Tf 153.741 0 Td [(siz)-44(e)]TJ/F8 9.9626 Tf 17.813 0 Td [(\050)]TJ/F11 9.9626 Tf 3.874 0 Td [(dat;)]TJ/F8 9.9626 Tf 18.477 0 Td [(1\051;)-301(m)27(u)1(s)-1(t)-285(ha)28(v)28(e)-285(the)-286(same)-285(v)55(al)1(ue)]TJ -193.905 -11.955 Td [(on)-333(sending)-334(and)-333(receiving)-333(pro)-28(cesses.)]TJ +0 g 0 G +/F27 9.9626 Tf -24.907 -21.918 Td [(On)-383(Return)]TJ +0 g 0 G +/F16 11.9552 Tf 0 -21.918 Td [(Notes)]TJ +0 g 0 G +/F8 9.9626 Tf 12.177 -19.925 Td [(1.)]TJ +0 g 0 G + [-500(This)-402(subroutine)-403(implies)-402(a)-402(sync)27(hronization,)-419(but)-403(on)1(ly)-403(b)-28(et)28(w)28(een)-403(th)1(e)-403(calling)]TJ 12.73 -11.955 Td [(pro)-28(cess)-333(and)-333(the)-334(destination)-333(pro)-28(cess)]TJ/F11 9.9626 Tf 157.52 0 Td [(dst)]TJ/F8 9.9626 Tf 13.453 0 Td [(.)]TJ +0 g 0 G + -31.496 -105.147 Td [(118)]TJ +0 g 0 G +ET + +endstream +endobj +1639 0 obj +<< +/Length 5352 +>> +stream +0 g 0 G +0 g 0 G +BT +/F16 11.9552 Tf 99.895 706.129 Td [(psb)]TJ ET q -1 0 0 1 224.574 626.724 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +1 0 0 1 120.951 706.328 cm +[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q BT -/F8 9.9626 Tf 229.133 626.525 Td [(e)-158(r)-157(r)-158(v)-158(e)-157(r)-158(b)-157(o)-158(s)-158(i)-157(t)-158(y)-263(\050)-142(v)-142(\051)]TJ +/F16 11.9552 Tf 124.986 706.129 Td [(rcv)-375(|)-375(Receiv)31(e)-375(data)]TJ 0 g 0 G 0 g 0 G +/F30 9.9626 Tf -25.091 -18.389 Td [(call)-525(psb_rcv\050icontxt,)-525(dat,)-525(src,)-525(m\051)]TJ/F8 9.9626 Tf 14.944 -21.918 Td [(This)-333(subroutine)-334(receiv)28(es)-333(a)-334(pac)28(k)28(et)-333(of)-334(data)-333(to)-333(a)-334(destination.)]TJ 0 g 0 G -/F27 9.9626 Tf -78.428 -17.933 Td [(T)32(yp)-32(e:)]TJ +/F27 9.9626 Tf -14.944 -19.926 Td [(T)32(yp)-32(e:)]TJ 0 g 0 G -/F8 9.9626 Tf 33.797 0 Td [(Async)28(hronous.)]TJ +/F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous:)-445(see)-333(usage)-333(notes.)]TJ 0 g 0 G /F27 9.9626 Tf -33.797 -19.925 Td [(On)-383(En)32(try)]TJ 0 g 0 G 0 g 0 G - 0 -19.926 Td [(v)]TJ + 0 -19.925 Td [(icon)32(txt)]TJ 0 g 0 G -/F8 9.9626 Tf 11.028 0 Td [(the)-333(v)27(erb)-27(osit)27(y)-333(lev)28(el)]TJ 13.878 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger.)]TJ +/F8 9.9626 Tf 39.989 0 Td [(the)-333(comm)27(unication)-333(con)28(text)-333(iden)27(tifyin)1(g)-334(the)-333(virtual)-333(parallel)-334(mac)28(hine.)]TJ -15.082 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf 29.756 0 Td [(.)]TJ -62.135 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -71.509 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(v)55(ariable.)]TJ +0 g 0 G +/F27 9.9626 Tf -24.907 -19.925 Td [(src)]TJ +0 g 0 G +/F8 9.9626 Tf 19.311 0 Td [(Source)-333(pro)-28(cess.)]TJ 5.596 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf 29.756 0 Td [(.)]TJ -62.135 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -71.509 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(v)55(alue)-333(0)]TJ/F11 9.9626 Tf 138.176 0 Td [(<)]TJ/F8 9.9626 Tf 7.749 0 Td [(=)]TJ/F11 9.9626 Tf 10.516 0 Td [(sr)-28(c)-277(<)]TJ/F8 9.9626 Tf 24.269 0 Td [(=)]TJ/F11 9.9626 Tf 10.516 0 Td [(np)]TJ/F14 9.9626 Tf 13.206 0 Td [(\000)]TJ/F8 9.9626 Tf 9.963 0 Td [(1.)]TJ +0 g 0 G +/F27 9.9626 Tf -239.302 -31.88 Td [(m)]TJ +0 g 0 G +/F8 9.9626 Tf 14.529 0 Td [(Num)28(b)-28(er)-333(of)-334(ro)28(ws.)]TJ 10.378 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf 29.756 0 Td [(.)]TJ -62.135 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(Optional)]TJ/F8 9.9626 Tf 43.455 0 Td [(.)]TJ -73.066 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(v)55(alue)-333(0)]TJ/F11 9.9626 Tf 138.176 0 Td [(<)]TJ/F8 9.9626 Tf 7.749 0 Td [(=)]TJ/F11 9.9626 Tf 10.516 0 Td [(m)-278(<)]TJ/F8 9.9626 Tf 19.264 0 Td [(=)]TJ/F11 9.9626 Tf 10.516 0 Td [(siz)-44(e)]TJ/F8 9.9626 Tf 17.812 0 Td [(\050)]TJ/F11 9.9626 Tf 3.874 0 Td [(dat;)]TJ/F8 9.9626 Tf 18.477 0 Td [(1\051.)]TJ -226.384 -11.955 Td [(When)]TJ/F11 9.9626 Tf 29.071 0 Td [(dat)]TJ/F8 9.9626 Tf 17.383 0 Td [(is)-335(a)-334(rank)-335(2)-335(arra)28(y)84(,)-335(sp)-28(eci\014es)-335(the)-335(n)28(um)28(b)-28(er)-334(of)-335(ro)28(ws)-335(to)-335(b)-27(e)-335(sen)28(t)-335(inde-)]TJ -46.454 -11.955 Td [(p)-28(enden)28(tly)-285(of)-285(the)-286(leading)-285(dimension)]TJ/F11 9.9626 Tf 153.742 0 Td [(siz)-44(e)]TJ/F8 9.9626 Tf 17.812 0 Td [(\050)]TJ/F11 9.9626 Tf 3.874 0 Td [(dat;)]TJ/F8 9.9626 Tf 18.477 0 Td [(1\051;)-301(m)27(ust)-285(ha)28(v)28(e)-285(the)-286(same)-285(v)55(alu)1(e)]TJ -193.905 -11.955 Td [(on)-333(sending)-334(and)-333(receiving)-333(pro)-28(cesses.)]TJ +0 g 0 G +/F27 9.9626 Tf -24.907 -21.918 Td [(On)-383(Return)]TJ +0 g 0 G +0 g 0 G + 0 -19.926 Td [(dat)]TJ 0 g 0 G - 139.477 -430.483 Td [(120)]TJ +/F8 9.9626 Tf 21.371 0 Td [(The)-333(data)-334(to)-333(b)-28(e)-333(receiv)28(ed.)]TJ 3.536 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -55.452 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf 41.898 0 Td [(.)]TJ -71.509 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-339(as:)-458(an)-339(in)28(te)-1(ger,)-341(real)-340(or)-339(complex)-340(v)56(ariable,)-342(whic)28(h)-340(ma)28(y)-339(b)-28(e)-340(a)-340(scalar,)]TJ 0 -11.955 Td [(or)-381(a)-381(rank)-381(1)-381(or)-381(2)-381(arra)27(y)84(,)-393(or)-381(a)-381(c)27(har)1(ac)-1(ter)-381(or)-381(logical)-381(scalar.)-969(T)28(yp)-27(e)-1(,)-393(ki)1(nd)-381(and)]TJ 0 -11.956 Td [(rank)-327(m)27(ust)-327(agree)-328(on)-327(sender)-328(and)-327(receiv)27(er)-327(pro)-28(cess;)-329(if)]TJ/F11 9.9626 Tf 220.724 0 Td [(m)]TJ/F8 9.9626 Tf 12.01 0 Td [(is)-328(not)-327(sp)-28(eci\014ed,)-329(size)]TJ -232.734 -11.955 Td [(m)28(ust)-334(agree)-333(as)-333(w)27(ell.)]TJ/F16 11.9552 Tf -24.907 -21.918 Td [(Notes)]TJ +0 g 0 G +/F8 9.9626 Tf 12.177 -19.925 Td [(1.)]TJ +0 g 0 G + [-500(This)-402(subroutine)-403(implies)-402(a)-402(s)-1(yn)1(c)27(hronization,)-419(but)-403(onl)1(y)-403(b)-28(et)28(w)28(een)-403(the)-402(calling)]TJ 12.73 -11.955 Td [(pro)-28(cess)-333(and)-333(the)-334(source)-333(pro)-28(cess)]TJ/F11 9.9626 Tf 136.516 0 Td [(sr)-28(c)]TJ/F8 9.9626 Tf 13.753 0 Td [(.)]TJ +0 g 0 G + -10.792 -105.147 Td [(119)]TJ 0 g 0 G ET endstream endobj -1651 0 obj +1646 0 obj << -/Length 2103 +/Length 6407 +>> +stream +0 g 0 G +0 g 0 G +BT +/F16 14.3462 Tf 150.705 706.129 Td [(8)-1125(Error)-375(handling)]TJ/F8 9.9626 Tf 0 -21.821 Td [(The)-446(PSBLAS)-446(library)-446(error)-446(handling)-446(p)-28(olicy)-446(has)-446(b)-28(een)-446(completely)-446(rewritten)-446(in)]TJ 0 -11.955 Td [(v)28(ersion)-448(2.0.)-788(The)-448(idea)-448(b)-27(ehind)-448(the)-448(design)-448(of)-447(this)-448(new)-448(error)-448(handling)-447(strategy)]TJ 0 -11.955 Td [(is)-491(to)-492(k)28(eep)-491(error)-491(mes)-1(sages)-491(on)-491(a)-492(stac)28(k)-491(allo)28(wing)-492(th)1(e)-492(user)-491(to)-491(trace)-492(bac)28(k)-491(up)-492(t)1(o)]TJ 0 -11.956 Td [(the)-401(p)-27(oin)28(t)-401(where)-401(the)-400(\014rst)-401(error)-400(mes)-1(sage)-400(has)-401(b)-28(een)-400(generated.)-646(Ev)27(ery)-400(routine)-401(in)]TJ 0 -11.955 Td [(the)-442(P)1(SBLAS-2.0)-442(library)-441(has,)-469(as)-442(l)1(as)-1(t)-441(non-optional)-441(argumen)27(t,)-468(an)-442(in)28(teger)]TJ/F30 9.9626 Tf 322.79 0 Td [(info)]TJ/F8 9.9626 Tf -322.79 -11.955 Td [(v)56(ariable;)-385(whenev)28(er,)-376(inside)-368(the)-367(routine,)-376(an)-368(error)-367(is)-368(detected,)-376(this)-367(v)55(ariab)1(le)-368(is)-368(set)]TJ 0 -11.955 Td [(to)-381(a)-380(v)55(alu)1(e)-381(corresp)-28(onding)-380(to)-381(a)-380(sp)-28(eci\014c)-381(error)-380(co)-28(de.)-586(Then)-381(this)-380(error)-381(co)-28(de)-380(is)-381(also)]TJ 0 -11.955 Td [(pushed)-245(on)-245(the)-245(error)-245(stac)28(k)-245(and)-245(then)-245(either)-245(con)27(tr)1(ol)-245(is)-246(retur)1(ned)-245(to)-246(th)1(e)-246(caller)-245(routin)1(e)]TJ 0 -11.955 Td [(or)-372(the)-371(e)-1(xecution)-371(is)-372(ab)-28(orted,)-381(dep)-28(ending)-372(on)-371(the)-372(users)-372(c)28(hoice.)-560(A)28(t)-372(the)-372(time)-371(when)]TJ 0 -11.956 Td [(the)-364(execution)-363(is)-364(ab)-28(orted,)-371(an)-364(error)-364(message)-363(is)-364(prin)28(ted)-364(on)-364(standard)-363(output)-364(with)]TJ 0 -11.955 Td [(a)-448(lev)28(el)-448(of)-447(v)27(erb)-27(osit)27(y)-447(than)-448(can)-448(b)-27(e)-448(c)28(hosen)-448(b)28(y)-448(the)-448(user.)-787(If)-448(the)-448(execution)-447(is)-448(not)]TJ 0 -11.955 Td [(ab)-28(orted,)-328(then,)-329(the)-328(caller)-327(routine)-328(c)28(hec)28(ks)-328(the)-327(v)55(alue)-327(returned)-328(in)-327(the)]TJ/F30 9.9626 Tf 285.459 0 Td [(info)]TJ/F8 9.9626 Tf 24.185 0 Td [(v)56(ariable)]TJ -309.644 -11.955 Td [(and,)-359(if)-354(not)-354(zero,)-359(an)-353(error)-354(condition)-354(is)-354(raised.)-506(This)-354(pro)-28(cess)-354(con)28(tin)28(ues)-354(on)-354(all)-354(th)1(e)]TJ 0 -11.955 Td [(lev)28(els)-297(of)-296(nes)-1(ted)-296(calls)-297(un)28(til)-297(the)-296(lev)28(el)-297(where)-297(the)-296(user)-297(decides)-297(to)-296(ab)-28(ort)-297(the)-296(program)]TJ 0 -11.955 Td [(execution.)]TJ 14.944 -11.956 Td [(Figure)]TJ +0 0 1 rg 0 0 1 RG + [-353(9)]TJ +0 g 0 G + [-353(sho)28(ws)-353(the)-353(la)28(y)27(out)-353(of)-352(a)-353(ge)-1(n)1(e)-1(ri)1(c)]TJ/F30 9.9626 Tf 170.683 0 Td [(psb_foo)]TJ/F8 9.9626 Tf 40.129 0 Td [(routine)-353(with)-353(resp)-28(ect)-353(to)-353(the)]TJ -225.756 -11.955 Td [(PSBLAS-2.0)-326(error)-326(hand)1(ling)-326(p)-28(olicy)83(.)-442(It)-325(is)-326(p)-28(ossible)-326(to)-326(see)-326(ho)28(w,)-327(whenev)28(e)-1(r)-325(an)-326(error)]TJ 0 -11.955 Td [(condition)-379(is)-378(detected,)-390(the)]TJ/F30 9.9626 Tf 115.439 0 Td [(info)]TJ/F8 9.9626 Tf 24.694 0 Td [(v)56(ariable)-379(is)-379(set)-379(to)-378(the)-379(corresp)-28(onding)-378(error)-379(co)-28(de)]TJ -140.133 -11.955 Td [(whic)28(h)-376(is,)-387(then,)-386(pushed)-376(on)-376(top)-376(of)-376(the)-376(stac)28(k)-376(b)28(y)-376(means)-376(of)-376(the)]TJ/F30 9.9626 Tf 264.702 0 Td [(psb_errpush)]TJ/F8 9.9626 Tf 57.534 0 Td [(.)-572(An)]TJ -322.236 -11.955 Td [(error)-331(condition)-331(ma)28(y)-331(b)-28(e)-331(directly)-331(detected)-331(inside)-331(a)-331(routine)-331(or)-331(indirectly)-331(c)27(h)1(e)-1(c)28(king)]TJ 0 -11.956 Td [(the)-461(e)-1(rr)1(or)-462(co)-28(de)-461(returned)-462(returned)-461(b)28(y)-462(a)-461(called)-462(routine.)-829(Whenev)28(er)-461(an)-462(error)-461(is)]TJ 0 -11.955 Td [(encoun)28(tered,)-459(after)-434(it)-434(has)-433(b)-28(een)-434(pushed)-434(on)-434(stac)28(k,)-459(the)-434(program)-433(execution)-434(skips)]TJ 0 -11.955 Td [(to)-356(a)-356(p)-27(oin)28(t)-356(where)-356(the)-356(error)-355(condition)-356(is)-356(handled;)-367(the)-355(error)-356(condition)-356(is)-356(han)1(dled)]TJ 0 -11.955 Td [(either)-392(b)28(y)-392(returning)-392(con)28(trol)-392(to)-392(the)-392(caller)-391(routine)-392(or)-392(b)28(y)-392(calling)-392(the)]TJ/F30 9.9626 Tf 291.408 0 Td [(psb\134_error)]TJ/F8 9.9626 Tf -291.408 -11.955 Td [(routine)-478(whic)28(h)-479(pr)1(in)27(ts)-478(the)-478(con)28(ten)27(t)-478(of)-478(the)-478(error)-478(s)-1(tac)28(k)-478(and)-478(ab)-28(orts)-478(the)-478(program)]TJ 0 -11.955 Td [(execution,)-329(ac)-1(cord)1(ing)-329(to)-328(the)-329(c)28(hoice)-329(made)-328(b)27(y)-328(the)-329(user)-328(with)]TJ/F30 9.9626 Tf 252.028 0 Td [(psb_set_erraction)]TJ/F8 9.9626 Tf 88.916 0 Td [(.)]TJ -340.944 -11.956 Td [(The)-347(default)-346(is)-347(to)-346(prin)28(t)-347(the)-347(error)-346(and)-347(terminate)-346(the)-347(program,)-350(but)-346(the)-347(user)-346(ma)27(y)]TJ 0 -11.955 Td [(c)28(ho)-28(ose)-333(to)-334(handle)-333(the)-333(error)-334(explicitly)84(.)]TJ 14.944 -11.955 Td [(Figure)]TJ +0 0 1 rg 0 0 1 RG + [-479(10)]TJ +0 g 0 G + [-479(rep)-28(orts)-479(a)-479(sample)-480(error)-479(message)-479(generated)-479(b)28(y)-480(the)-479(PSBLAS-2.0)]TJ -14.944 -11.955 Td [(library)83(.)-451(This)-335(error)-336(has)-335(b)-28(een)-336(generated)-335(b)27(y)-335(the)-336(fact)-335(that)-336(the)-335(use)-1(r)-335(has)-336(c)28(hosen)-336(th)1(e)]TJ 0 -11.955 Td [(in)28(v)55(alid)-367(\134F)28(OO")-368(storage)-367(format)-368(to)-367(represen)27(t)-367(the)-368(sparse)-367(matrix.)-547(F)83(rom)-367(this)-368(error)]TJ 0 -11.955 Td [(message)-248(it)-248(is)-248(p)-27(oss)-1(i)1(ble)-248(to)-248(see)-248(that)-248(the)-248(error)-247(has)-248(b)-28(een)-248(detected)-248(inside)-248(th)1(e)]TJ/F30 9.9626 Tf 301.868 0 Td [(psb_cest)]TJ/F8 9.9626 Tf -301.868 -11.956 Td [(subroutine)-333(called)-334(b)28(y)]TJ/F30 9.9626 Tf 91.407 0 Td [(psb_spasb)]TJ/F8 9.9626 Tf 50.394 0 Td [(...)-444(b)27(y)-333(pro)-28(cess)-333(0)-333(\050i.e.)-445(the)-333(ro)-28(ot)-333(pro)-28(cess\051.)]TJ +0 g 0 G + 22.583 -211.304 Td [(120)]TJ +0 g 0 G +ET + +endstream +endobj +1652 0 obj +<< +/Length 7220 >> stream 0 g 0 G 0 g 0 G 0 g 0 G 0 g 0 G +0 g 0 G BT -/F16 14.3462 Tf 99.895 680.226 Td [(psb)]TJ +/F53 8.9664 Tf 108.801 680.066 Td [(s)-60(u)-60(b)-60(r)-59(o)-60(u)-60(t)-60(i)-60(n)-60(e)]TJ/F46 8.9664 Tf 61.47 0 Td [(p)-132(s)-132(b)]TJ ET q -1 0 0 1 125.163 680.425 cm -[]0 d 0 J 0.398 w 0 0 m 4.842 0 l S +1 0 0 1 188.254 680.265 cm +[]0 d 0 J 0.398 w 0 0 m 2.765 0 l S Q BT -/F16 14.3462 Tf 130.004 680.226 Td [(set)]TJ +/F46 8.9664 Tf 192.204 680.066 Td [(f)-132(o)-132(o)-241(\050)-155(s)-47(o)-47(m)-47(e)-768(a)-105(r)-106(g)-105(s)-376(,)-939(i)-156(n)-157(f)-156(o)-265(\051)]TJ -65.125 -10.959 Td [(.)-248(.)-249(.)]TJ/F53 8.9664 Tf -0.604 -10.959 Td [(i)-181(f)]TJ/F46 8.9664 Tf 10.408 0 Td [(\050)-260(e)-151(r)-151(r)-151(o)-151(r)-897(d)-129(e)-129(t)-130(e)-129(c)-129(t)-129(e)-130(d)-237(\051)]TJ/F53 8.9664 Tf 93.292 0 Td [(t)-30(h)-29(e)-30(n)]TJ/F46 8.9664 Tf -87.332 -10.959 Td [(i)-156(n)-157(f)-156(o)-65(=)-38(e)-129(r)-128(r)-129(c)-129(o)-129(d)-129(e)-129(1)]TJ/F53 8.9664 Tf -0.133 -10.959 Td [(c)-142(a)-141(l)-142(l)]TJ/F46 8.9664 Tf 27.487 0 Td [(p)-124(s)-124(b)]TJ ET q -1 0 0 1 150.979 680.425 cm -[]0 d 0 J 0.398 w 0 0 m 4.842 0 l S +1 0 0 1 187.956 636.429 cm +[]0 d 0 J 0.398 w 0 0 m 2.765 0 l S Q BT -/F16 14.3462 Tf 155.821 680.226 Td [(erraction|Set)-375(the)-375(t)31(yp)-31(e)-375(of)-375(action)-375(to)-375(b)-31(e)]TJ -55.926 -17.933 Td [(tak)31(en)-375(up)-31(on)-375(error)-375(condition.)]TJ/F27 9.9626 Tf 1.377 -35.768 Td [(c)-138(a)-138(l)-139(l)]TJ/F8 9.9626 Tf 30.09 0 Td [(p)-158(s)-159(b)]TJ +/F46 8.9664 Tf 191.831 636.23 Td [(e)-124(r)-124(r)-124(p)-123(u)-124(s)-124(h)-233(\050)-329(')-242(p)-133(s)-132(b)]TJ ET q -1 0 0 1 151.695 626.724 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +1 0 0 1 260.135 636.429 cm +[]0 d 0 J 0.398 w 0 0 m 2.765 0 l S Q BT -/F8 9.9626 Tf 156.263 626.525 Td [(s)-159(e)-158(t)]TJ +/F46 8.9664 Tf 264.085 636.23 Td [(f)-132(o)-132(o)-353(')-332(,)-855(e)-129(r)-129(r)-129(c)-129(o)-128(d)-129(e)-129(1)-237(\051)]TJ/F53 8.9664 Tf -122.23 -10.959 Td [(g)-46(o)-47(t)-46(o)]TJ/F46 8.9664 Tf 27.968 0 Td [(9)-82(9)-82(9)-83(9)]TJ/F53 8.9664 Tf -44.989 -10.959 Td [(e)2(n)2(d)-796(i)-181(f)]TJ/F46 8.9664 Tf 2.245 -10.959 Td [(.)-248(.)-249(.)]TJ/F53 8.9664 Tf -0.957 -10.959 Td [(c)-142(a)-141(l)-142(l)]TJ/F46 8.9664 Tf 27.399 0 Td [(p)-114(s)-114(b)]TJ ET q -1 0 0 1 173.829 626.724 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +1 0 0 1 171.016 592.594 cm +[]0 d 0 J 0.398 w 0 0 m 2.765 0 l S Q BT -/F8 9.9626 Tf 178.396 626.525 Td [(e)-159(r)-158(r)-158(a)-159(c)-158(t)-159(i)-158(o)-159(n)-264(\050)-265(e)-160(r)-160(r)]TJ +/F46 8.9664 Tf 174.803 592.394 Td [(b)-114(a)-114(r)-223(\050)-155(s)-47(o)-46(m)-47(e)-769(a)-105(r)-105(g)-105(s)-377(,)-938(i)-157(n)-156(f)-157(o)-265(\051)]TJ/F53 8.9664 Tf -48.328 -10.958 Td [(i)-181(f)]TJ/F46 8.9664 Tf 10.408 0 Td [(\050)-265(i)-156(n)-157(f)-156(o)-939(.)]TJ/F53 8.9664 Tf 37.831 0 Td [(n)-11(e)]TJ/F46 8.9664 Tf 12.445 0 Td [(.)-910(z)-127(e)-127(r)-128(o)-235(\051)]TJ/F53 8.9664 Tf 43.016 0 Td [(t)-30(h)-29(e)-30(n)]TJ/F46 8.9664 Tf -87.332 -10.959 Td [(i)-156(n)-157(f)-156(o)-65(=)-38(e)-129(r)-128(r)-129(c)-129(o)-129(d)-129(e)-129(2)]TJ/F53 8.9664 Tf -0.133 -10.959 Td [(c)-142(a)-141(l)-142(l)]TJ/F46 8.9664 Tf 27.487 0 Td [(p)-124(s)-124(b)]TJ ET q -1 0 0 1 256.582 626.724 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +1 0 0 1 187.956 559.717 cm +[]0 d 0 J 0.398 w 0 0 m 2.765 0 l S Q BT -/F8 9.9626 Tf 261.163 626.525 Td [(a)-160(c)-160(t)-265(\051)]TJ -0 g 0 G -0 g 0 G -0 g 0 G -/F27 9.9626 Tf -161.268 -17.933 Td [(T)32(yp)-32(e:)]TJ -0 g 0 G -/F8 9.9626 Tf 33.797 0 Td [(Async)28(hronous.)]TJ -0 g 0 G -/F27 9.9626 Tf -33.797 -19.925 Td [(On)-383(En)32(try)]TJ +/F46 8.9664 Tf 191.831 559.518 Td [(e)-124(r)-124(r)-124(p)-123(u)-124(s)-124(h)-233(\050)-329(')-242(p)-133(s)-132(b)]TJ +ET +q +1 0 0 1 260.135 559.717 cm +[]0 d 0 J 0.398 w 0 0 m 2.765 0 l S +Q +BT +/F46 8.9664 Tf 264.085 559.518 Td [(f)-132(o)-132(o)-353(')-332(,)-855(e)-129(r)-129(r)-129(c)-129(o)-128(d)-129(e)-129(2)-237(\051)]TJ/F53 8.9664 Tf 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706.328 cm +[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S +Q +BT +/F16 11.9552 Tf 154.971 706.129 Td [(read)-467(|)-467(Read)-466(a)-467(sparse)-467(matrix)-467(from)-467(a)-467(\014le)-466(in)-467(the)]TJ -55.076 -13.948 Td [(MatrixMark)31(et)-375(format)]TJ/F27 9.9626 Tf 1.377 -24.367 Td [(c)-138(a)-138(l)-139(l)]TJ/F8 9.9626 Tf 29.009 0 Td [(m)-50(m)]TJ +ET +q +1 0 0 1 148.479 668.014 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F8 9.9626 Tf 151.965 667.814 Td [(m)-50(a)-50(t)]TJ +ET +q +1 0 0 1 171.214 668.014 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F8 9.9626 Tf 174.701 667.814 Td [(r)-50(e)-50(a)-50(d)-155(\050)-139(a)-228(,)-911(i)-149(r)-150(e)-149(t)-460(,)-897(i)-134(u)-135(n)-135(i)-135(t)-431(,)-890(f)-129(i)-129(l)-129(e)-129(n)-129(a)-129(m)-129(e)-235(\051)]TJ 0 g 0 G 0 g 0 G -/F30 9.9626 Tf 0 -18.389 Td [(call)-525(prec%init\050ptype,)-525(info\051)]TJ 0 g 0 G -/F27 9.9626 Tf 0 -21.918 Td [(T)32(yp)-32(e:)]TJ +/F27 9.9626 Tf -74.806 -17.933 Td [(T)32(yp)-32(e:)]TJ 0 g 0 G /F8 9.9626 Tf 33.797 0 Td [(Async)28(hronous.)]TJ 0 g 0 G -/F27 9.9626 Tf -33.797 -19.926 Td [(On)-383(En)32(try)]TJ +/F27 9.9626 Tf -33.797 -19.925 Td [(On)-383(En)32(try)]TJ 0 g 0 G 0 g 0 G - 0 -19.925 Td [(pt)32(yp)-32(e)]TJ + 0 -19.925 Td [(\014lename)]TJ 0 g 0 G -/F8 9.9626 Tf 33.465 0 Td [(the)-333(t)28(yp)-28(e)-334(of)-333(preconditioner.)-444(Scop)-28(e:)]TJ/F27 9.9626 Tf 153.092 0 Td [(global)]TJ/F8 9.9626 Tf -161.651 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(c)28(haracter)-334(stri)1(ng,)-334(see)-333(usage)-334(notes.)]TJ +/F8 9.9626 Tf 46.513 0 Td [(The)-333(name)-334(of)-333(the)-333(\014le)-334(to)-333(b)-28(e)-333(read.)]TJ -21.606 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -65.76 -11.955 Td [(Sp)-28(eci\014ed)-435(as:)-648(a)-435(c)27(h)1(arac)-1(ter)-435(v)56(ariable)-435(con)28(taining)-436(a)-435(v)56(alid)-435(\014le)-435(name,)-461(or)]TJ/F30 9.9626 Tf 297.915 0 Td [(-)]TJ/F8 9.9626 Tf 5.231 0 Td [(,)-461(in)]TJ -303.146 -11.956 Td [(whic)28(h)-302(cas)-1(e)-302(the)-302(default)-302(input)-302(unit)-302(5)-303(\050i.e.)-434(standard)-302(input)-302(in)-302(Unix)-302(jargon\051)-302(is)]TJ 0 -11.955 Td [(used.)-444(Default:)]TJ/F30 9.9626 Tf 66.058 0 Td [(-)]TJ/F8 9.9626 Tf 5.23 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -24.906 -19.926 Td [(On)-383(Exit)]TJ +/F27 9.9626 Tf -96.195 -19.925 Td [(iunit)]TJ +0 g 0 G +/F8 9.9626 Tf 28.532 0 Td [(The)-333(F)83(ortran)-333(\014le)-334(un)1(it)-334(n)28(um)28(b)-28(er.)]TJ -3.625 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -65.76 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(v)55(alue.)-444(Only)-333(me)-1(ani)1(ngful)-334(if)-333(\014lename)-333(is)-334(not)]TJ/F30 9.9626 Tf 286.288 0 Td [(-)]TJ/F8 9.9626 Tf 5.23 0 Td [(.)]TJ 0 g 0 G +/F27 9.9626 Tf -316.425 -21.918 Td [(On)-383(Return)]TJ 0 g 0 G - 0 -19.925 Td [(prec)]TJ 0 g 0 G -/F8 9.9626 Tf 26.408 0 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -33.88 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.097 0 Td [(.)]TJ -59.583 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(preconditioner)-333(data)-333(structure)]TJ + 0 -19.925 Td [(a)]TJ +0 g 0 G +/F8 9.9626 Tf 10.551 0 Td [(the)-333(sparse)-334(matrix)-333(read)-333(from)-334(\014le.)]TJ 14.356 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.899 0 Td [(.)]TJ -67.082 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 197.538 0 Td [(psb)]TJ +/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ ET q -1 0 0 1 389.467 514.589 cm +1 0 0 1 312.036 452.82 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 392.606 514.39 Td [(prec)]TJ +/F30 9.9626 Tf 315.174 452.621 Td [(Tspmat)]TJ ET q -1 0 0 1 414.155 514.589 cm +1 0 0 1 347.183 452.82 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 417.293 514.39 Td [(type)]TJ +/F30 9.9626 Tf 350.322 452.621 Td [(type)]TJ 0 g 0 G /F8 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -287.509 -19.926 Td [(info)]TJ -0 g 0 G -/F8 9.9626 Tf 23.758 0 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -31.23 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.034 -11.955 Td [(Error)-333(co)-28(de:)-444(if)-334(no)-333(error,)-333(0)-334(is)-333(returned.)]TJ/F16 11.9552 Tf -24.907 -21.918 Td [(Notes)]TJ/F8 9.9626 Tf 37.058 0 Td [(Legal)-316(inputs)-315(to)-316(this)-316(subroutine)-315(are)-316(in)28(terpreted)-316(dep)-28(ending)-315(on)-316(the)]TJ/F11 9.9626 Tf 283.15 0 Td [(pty)-36(pe)]TJ/F8 9.9626 Tf -320.208 -11.955 Td [(string)-333(as)-334(follo)28(ws)]TJ -0 0 1 rg 0 0 1 RG -/F7 6.9738 Tf 69.932 3.615 Td [(4)]TJ -0 g 0 G -/F8 9.9626 Tf 4.47 -3.615 Td [(:)]TJ -0 g 0 G -/F27 9.9626 Tf -74.402 -19.925 Td [(NONE)]TJ -0 g 0 G -/F8 9.9626 Tf 39.048 0 Td [(No)-333(preconditioning,)-333(i.e.)-445(the)-333(preconditioner)-333(is)-334(just)-333(a)-333(cop)27(y)-333(op)-28(erator.)]TJ -0 g 0 G -/F27 9.9626 Tf -39.048 -19.926 Td [(DIA)32(G)]TJ -0 g 0 G -/F8 9.9626 Tf 35.464 0 Td [(Diagonal)-441(scaling;)-496(eac)28(h)-442(en)28(try)-441(of)-441(the)-442(input)-441(v)28(ector)-442(is)-441(m)27(ulti)1(plied)-442(b)28(y)-441(the)]TJ -10.557 -11.955 Td [(recipro)-28(cal)-346(of)-346(the)-346(sum)-345(of)-346(the)-346(absolute)-346(v)55(alues)-346(of)-346(th)1(e)-346(c)-1(o)-27(e\016cien)27(ts)-346(in)-345(the)-346(cor-)]TJ 0 -11.955 Td [(resp)-28(onding)-333(ro)28(w)-334(of)-333(matrix)]TJ/F11 9.9626 Tf 113.602 0 Td [(A)]TJ/F8 9.9626 Tf 7.472 0 Td [(;)]TJ -0 g 0 G -/F27 9.9626 Tf -145.981 -19.925 Td [(BJA)32(C)]TJ -0 g 0 G -/F8 9.9626 Tf 35.672 0 Td [(Precondition)-249(b)28(y)-249(a)-249(factorization)-248(of)-249(the)-249(blo)-28(c)28(k-diagonal)-249(of)-249(matrix)]TJ/F11 9.9626 Tf 269.664 0 Td [(A)]TJ/F8 9.9626 Tf 7.472 0 Td [(,)-266(where)]TJ -287.901 -11.956 Td [(blo)-28(c)28(k)-457(b)-28(oundaries)-457(are)-457(determined)-457(b)28(y)-457(the)-457(data)-457(allo)-28(cation)-457(b)-28(oundaries)-457(for)]TJ 0 -11.955 Td [(eac)28(h)-347(pro)-27(c)-1(ess;)-353(requires)-346(no)-347(comm)28(unication.)-484(Only)-347(the)-346(incomplete)-347(factoriza-)]TJ 0 -11.955 Td [(tion)]TJ/F11 9.9626 Tf 20.478 0 Td [(I)-78(LU)]TJ/F8 9.9626 Tf 19.83 0 Td [(\0500\051)-333(is)-334(curren)28(tly)-333(implemen)28(ted.)]TJ -0 g 0 G -ET -q -1 0 0 1 150.705 129.78 cm -[]0 d 0 J 0.398 w 0 0 m 137.482 0 l S -Q -BT -/F32 5.9776 Tf 161.797 123.138 Td [(4)]TJ/F31 7.9701 Tf 4.151 -2.812 Td [(The)-354(string)-354(is)-354(c)-1(a)1(se)-1(-)1(i)-1(nsensitiv)30(e)]TJ +/F27 9.9626 Tf -271.348 -19.925 Td [(iret)]TJ 0 g 0 G +/F8 9.9626 Tf 22.589 0 Td [(Error)-333(co)-28(de.)]TJ 2.318 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detecte)-1(d)1(.)]TJ 0 g 0 G -/F8 9.9626 Tf 149.14 -29.888 Td [(130)]TJ + 139.477 -318.348 Td [(129)]TJ 0 g 0 G ET endstream endobj -1719 0 obj +1734 0 obj << -/Length 7751 +/Length 3696 >> stream 0 g 0 G 0 g 0 G BT -/F16 11.9552 Tf 99.895 706.129 Td [(build)-375(|)-375(Builds)-375(a)-375(preconditioner)]TJ -0 g 0 G -0 g 0 G -/F30 9.9626 Tf 0 -19.764 Td [(call)-525(prec%build\050a,)-525(desc_a,)-525(info[,amold,vmold,imold]\051)]TJ -0 g 0 G -/F27 9.9626 Tf 0 -24.132 Td [(T)32(yp)-32(e:)]TJ -0 g 0 G -/F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ -0 g 0 G -/F27 9.9626 Tf -33.797 -22.879 Td [(On)-383(En)32(try)]TJ -0 g 0 G -0 g 0 G - 0 -22.879 Td [(a)]TJ -0 g 0 G -/F8 9.9626 Tf 10.551 0 Td [(the)-333(system)-334(sparse)-333(matrix.)-445(Scop)-27(e:)]TJ/F27 9.9626 Tf 148.886 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -134.53 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(,)-333(target.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(sparse)-333(matrix)-334(data)-333(structure)]TJ -0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 194.05 0 Td [(psb)]TJ +/F16 11.9552 Tf 150.705 706.129 Td [(mm)]TJ ET q -1 0 0 1 335.171 580.809 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +1 0 0 1 173.928 706.328 cm +[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q BT -/F30 9.9626 Tf 338.309 580.61 Td [(Tspmat)]TJ +/F16 11.9552 Tf 177.963 706.129 Td [(arra)31(y)]TJ ET q -1 0 0 1 370.319 580.809 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +1 0 0 1 209.557 706.328 cm +[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q BT -/F30 9.9626 Tf 373.457 580.61 Td [(type)]TJ -0 g 0 G -/F8 9.9626 Tf 20.922 0 Td [(.)]TJ -0 g 0 G -/F27 9.9626 Tf -294.484 -22.879 Td [(prec)]TJ -0 g 0 G -/F8 9.9626 Tf 26.408 0 Td [(the)-333(preconditioner.)]TJ -1.501 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.956 Td [(Sp)-28(eci\014ed)-222(as:)-389(an)-222(already)-222(initialized)-222(precondtioner)-222(data)-223(structure)]TJ -0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 273.115 0 Td [(psb)]TJ +/F16 11.9552 Tf 213.592 706.129 Td [(read)-504(|)-504(Read)-504(a)-504(dense)-504(ar)1(ra)31(y)-504(from)-504(a)-504(\014le)-504(in)-504(the)]TJ -62.887 -13.948 Td [(MatrixMark)31(et)-375(format)]TJ/F27 9.9626 Tf 1.377 -24.367 Td [(c)-138(a)-138(l)-139(l)]TJ/F8 9.9626 Tf 29.373 0 Td [(m)-86(m)]TJ ET q -1 0 0 1 414.236 510.11 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +1 0 0 1 200.38 668.014 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F30 9.9626 Tf 417.374 509.91 Td [(prec)]TJ +/F8 9.9626 Tf 204.23 667.814 Td [(a)-86(r)-87(r)-86(a)-87(y)]TJ ET q -1 0 0 1 438.923 510.11 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +1 0 0 1 232.16 668.014 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F30 9.9626 Tf 442.061 509.91 Td [(type)]TJ +/F8 9.9626 Tf 236.01 667.814 Td [(r)-86(e)-87(a)-86(d)-192(\050)-121(b)-191(,)-910(i)-150(r)-149(e)-150(t)-460(,)-896(i)-135(u)-135(n)-135(i)-135(t)-431(,)-890(f)-129(i)-129(l)-129(e)-129(n)-129(a)-129(m)-129(e)-234(\051)]TJ 0 g 0 G 0 g 0 G -/F27 9.9626 Tf -342.166 -34.833 Td [(desc)]TJ -ET -q -1 0 0 1 121.81 475.276 cm -[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S -Q -BT -/F27 9.9626 Tf 125.247 475.077 Td [(a)]TJ 0 g 0 G -/F8 9.9626 Tf 10.551 0 Td [(the)-333(problem)-334(comm)28(unication)-333(descriptor.)-445(Scop)-27(e:)]TJ/F27 9.9626 Tf 208.247 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -219.243 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(,)-333(target.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(comm)28(unication)-333(desc)-1(ri)1(ptor)-334(data)-333(structure)]TJ -0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 247.683 0 Td [(psb)]TJ -ET -q -1 0 0 1 388.803 439.41 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 391.942 439.211 Td [(desc)]TJ -ET -q -1 0 0 1 413.491 439.41 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q -BT -/F30 9.9626 Tf 416.629 439.211 Td [(type)]TJ +/F27 9.9626 Tf -85.305 -17.933 Td [(T)32(yp)-32(e:)]TJ 0 g 0 G -/F8 9.9626 Tf 20.921 0 Td [(.)]TJ +/F8 9.9626 Tf 33.797 0 Td [(Async)28(hronous.)]TJ 0 g 0 G -/F27 9.9626 Tf -337.655 -22.879 Td [(amold)]TJ +/F27 9.9626 Tf -33.797 -19.925 Td [(On)-383(En)32(try)]TJ 0 g 0 G -/F8 9.9626 Tf 35.374 0 Td [(The)-333(desired)-334(dynamic)-333(t)28(yp)-28(e)-333(for)-334(the)-333(in)28(ternal)-333(matrix)-334(storage.)]TJ -10.467 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -55.452 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -70.188 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(ob)-55(ject)-334(of)-333(a)-333(class)-334(deriv)28(ed)-333(from)]TJ/F30 9.9626 Tf 203.349 0 Td [(psb)]TJ +0 g 0 G + 0 -19.925 Td [(\014lename)]TJ +0 g 0 G +/F8 9.9626 Tf 46.513 0 Td [(The)-333(name)-334(of)-333(the)-333(\014le)-334(to)-333(b)-28(e)-333(read.)]TJ -21.607 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.184 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -65.76 -11.955 Td [(Sp)-28(eci\014ed)-435(as:)-648(a)-435(c)28(haracte)-1(r)-435(v)56(ariable)-435(con)28(taining)-435(a)-436(v)56(alid)-435(\014le)-435(name,)-461(or)]TJ/F30 9.9626 Tf 297.915 0 Td [(-)]TJ/F8 9.9626 Tf 5.23 0 Td [(,)-461(in)]TJ -303.145 -11.956 Td [(whic)28(h)-302(case)-303(the)-302(default)-302(input)-302(unit)-302(5)-303(\050i.e.)-434(standard)-302(input)-302(in)-302(Unix)-302(jargon\051)-302(is)]TJ 0 -11.955 Td [(used.)-444(Default:)]TJ/F30 9.9626 Tf 66.057 0 Td [(-)]TJ/F8 9.9626 Tf 5.231 0 Td [(.)]TJ +0 g 0 G +/F27 9.9626 Tf -96.195 -19.925 Td [(iunit)]TJ +0 g 0 G +/F8 9.9626 Tf 28.532 0 Td [(The)-333(F)83(ortran)-333(\014le)-334(u)1(nit)-334(n)28(um)28(b)-28(er.)]TJ -3.625 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -65.76 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-444(an)-334(in)28(teger)-333(v)55(alue.)-444(Only)-333(me)-1(an)1(ingful)-334(if)-333(\014lename)-333(is)-334(not)]TJ/F30 9.9626 Tf 286.288 0 Td [(-)]TJ/F8 9.9626 Tf 5.23 0 Td [(.)]TJ +0 g 0 G +/F27 9.9626 Tf -316.425 -21.918 Td [(On)-383(Return)]TJ +0 g 0 G +0 g 0 G + 0 -19.925 Td [(b)]TJ +0 g 0 G +/F8 9.9626 Tf 11.346 0 Td [(Rigth)-333(hand)-334(side\050s\051.)]TJ 13.561 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(An)-310(arra)28(y)-310(of)-310(t)28(yp)-28(e)-310(real)-310(or)-310(complex,)-315(ran)1(k)-310(1)-310(or)-310(2)-310(and)-310(ha)28(ving)-310(the)-310(ALLOCA)83(T-)]TJ 0 -11.955 Td [(ABLE)-334(attribute;)-334(will)-333(b)-28(e)-334(allo)-27(c)-1(ated)-333(and)-334(\014lled)-334(in)-333(if)-334(the)-334(input)-333(\014le)-334(con)28(tains)-334(a)]TJ 0 -11.955 Td [(righ)28(t)-333(hand)-334(side,)-333(otherwise)-333(will)-334(b)-27(e)-334(left)-333(in)-333(the)-334(UNALLOCA)84(TED)-334(state.)]TJ +0 g 0 G +/F27 9.9626 Tf -24.907 -19.925 Td [(iret)]TJ +0 g 0 G +/F8 9.9626 Tf 22.589 0 Td [(Error)-333(co)-28(de.)]TJ 2.318 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detected.)]TJ +0 g 0 G + 139.477 -294.437 Td [(130)]TJ +0 g 0 G +ET + +endstream +endobj +1741 0 obj +<< +/Length 4176 +>> +stream +0 g 0 G +0 g 0 G +BT +/F16 11.9552 Tf 99.895 706.129 Td [(mm)]TJ ET q -1 0 0 1 344.47 368.711 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +1 0 0 1 123.118 706.328 cm +[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q BT -/F30 9.9626 Tf 347.608 368.512 Td [(T)]TJ +/F16 11.9552 Tf 127.153 706.129 Td [(mat)]TJ ET q -1 0 0 1 353.466 368.711 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +1 0 0 1 150.936 706.328 cm +[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q BT -/F30 9.9626 Tf 356.604 368.512 Td [(base)]TJ +/F16 11.9552 Tf 154.971 706.129 Td [(write)-531(|)-532(W)94(rite)-532(a)-531(sparse)-531(matrix)-532(to)-531(a)-532(\014le)-531(in)-531(the)]TJ -55.076 -13.948 Td [(MatrixMark)31(et)-375(format)]TJ/F27 9.9626 Tf 1.377 -24.367 Td [(c)-138(a)-138(l)-139(l)]TJ/F8 9.9626 Tf 29.175 0 Td [(m)-67(m)]TJ ET q -1 0 0 1 378.153 368.711 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +1 0 0 1 148.977 668.014 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F30 9.9626 Tf 381.291 368.512 Td [(sparse)]TJ +/F8 9.9626 Tf 152.63 667.814 Td [(m)-67(a)-66(t)]TJ ET q -1 0 0 1 413.301 368.711 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +1 0 0 1 172.377 668.014 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F30 9.9626 Tf 416.439 368.512 Td [(mat)]TJ/F8 9.9626 Tf 15.691 0 Td [(.)]TJ +/F8 9.9626 Tf 176.029 667.814 Td [(w)-67(r)-66(i)-67(t)-67(e)-172(\050)-139(a)-227(,)-885(m)-124(t)-123(i)-124(t)-124(l)-123(e)-409(,)-910(i)-150(r)-149(e)-150(t)-460(,)-896(i)-135(u)-135(n)-135(i)-135(t)-431(,)-890(f)-129(i)-129(l)-129(e)-129(n)-129(a)-129(m)-129(e)-234(\051)]TJ 0 g 0 G -/F27 9.9626 Tf -332.235 -22.879 Td [(vmold)]TJ 0 g 0 G -/F8 9.9626 Tf 35.852 0 Td [(The)-333(desired)-334(dynamic)-333(t)28(yp)-28(e)-333(for)-334(the)-333(in)28(ternal)-333(v)27(ector)-333(storage.)]TJ -10.945 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -55.452 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -70.188 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(ob)-55(ject)-334(of)-333(a)-333(class)-334(deriv)28(ed)-333(from)]TJ/F30 9.9626 Tf 203.349 0 Td [(psb)]TJ +0 g 0 G +/F27 9.9626 Tf -76.134 -17.933 Td [(T)32(yp)-32(e:)]TJ +0 g 0 G +/F8 9.9626 Tf 33.797 0 Td [(Async)28(hronous.)]TJ +0 g 0 G +/F27 9.9626 Tf -33.797 -19.925 Td [(On)-383(En)32(try)]TJ +0 g 0 G +0 g 0 G + 0 -19.925 Td [(a)]TJ +0 g 0 G +/F8 9.9626 Tf 10.551 0 Td [(the)-333(sparse)-334(matrix)-333(to)-333(b)-28(e)-333(written.)]TJ 14.356 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(required)]TJ/F8 9.9626 Tf 41.899 0 Td [(.)]TJ -67.082 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ +0 0 1 rg 0 0 1 RG +/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ ET q -1 0 0 1 344.47 298.012 cm +1 0 0 1 312.036 586.32 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 347.608 297.812 Td [(T)]TJ +/F30 9.9626 Tf 315.174 586.121 Td [(Tspmat)]TJ ET q -1 0 0 1 353.466 298.012 cm +1 0 0 1 347.183 586.32 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 356.604 297.812 Td [(base)]TJ +/F30 9.9626 Tf 350.322 586.121 Td [(type)]TJ +0 g 0 G +/F8 9.9626 Tf 20.921 0 Td [(.)]TJ +0 g 0 G +/F27 9.9626 Tf -271.348 -19.926 Td [(m)32(title)]TJ +0 g 0 G +/F8 9.9626 Tf 34.738 0 Td [(Matrix)-333(title.)]TJ -9.831 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(A)-299(c)28(harac)28(h)28(ter)-299(v)55(ariable)-299(h)1(olding)-299(a)-299(descriptiv)28(e)-299(title)-299(for)-299(the)-299(matrix)-298(to)-299(b)-28(e)-299(writ-)]TJ 0 -11.955 Td [(ten)-333(to)-334(\014le.)]TJ +0 g 0 G +/F27 9.9626 Tf -24.907 -19.925 Td [(\014lename)]TJ +0 g 0 G +/F8 9.9626 Tf 46.513 0 Td [(The)-333(name)-334(of)-333(the)-333(\014le)-334(to)-333(b)-28(e)-333(written)-333(to.)]TJ -21.606 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -65.76 -11.955 Td [(Sp)-28(eci\014ed)-435(as:)-648(a)-435(c)27(h)1(arac)-1(ter)-435(v)56(ariable)-435(con)28(taining)-436(a)-435(v)56(alid)-435(\014le)-435(name,)-461(or)]TJ/F30 9.9626 Tf 297.915 0 Td [(-)]TJ/F8 9.9626 Tf 5.231 0 Td [(,)-461(in)]TJ -303.146 -11.955 Td [(whic)28(h)-281(case)-280(the)-280(default)-281(output)-280(unit)-280(6)-281(\050i.e.)-426(s)-1(t)1(andard)-281(output)-280(in)-280(Unix)-281(jargon\051)]TJ 0 -11.955 Td [(is)-333(used.)-445(Default:)]TJ/F30 9.9626 Tf 76.076 0 Td [(-)]TJ/F8 9.9626 Tf 5.23 0 Td [(.)]TJ +0 g 0 G +/F27 9.9626 Tf -106.213 -19.925 Td [(iunit)]TJ +0 g 0 G +/F8 9.9626 Tf 28.532 0 Td [(The)-333(F)83(ortran)-333(\014le)-334(un)1(it)-334(n)28(um)28(b)-28(er.)]TJ -3.625 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -65.76 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(v)55(alue.)-444(Only)-333(me)-1(ani)1(ngful)-334(if)-333(\014lename)-333(is)-334(not)]TJ/F30 9.9626 Tf 286.288 0 Td [(-)]TJ/F8 9.9626 Tf 5.23 0 Td [(.)]TJ +0 g 0 G +/F27 9.9626 Tf -316.425 -21.918 Td [(On)-383(Return)]TJ +0 g 0 G +0 g 0 G + 0 -19.925 Td [(iret)]TJ +0 g 0 G +/F8 9.9626 Tf 22.589 0 Td [(Error)-333(co)-28(de.)]TJ 2.318 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detected.)]TJ +0 g 0 G + 139.477 -262.557 Td [(131)]TJ +0 g 0 G ET -q -1 0 0 1 378.153 298.012 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S -Q + +endstream +endobj +1747 0 obj +<< +/Length 3364 +>> +stream +0 g 0 G +0 g 0 G BT -/F30 9.9626 Tf 381.291 297.812 Td [(vect)]TJ +/F16 11.9552 Tf 150.705 706.129 Td [(mm)]TJ ET q -1 0 0 1 402.84 298.012 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +1 0 0 1 173.928 706.328 cm +[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q BT -/F30 9.9626 Tf 405.978 297.812 Td [(type)]TJ/F8 9.9626 Tf 20.922 0 Td [(.)]TJ -0 g 0 G -/F27 9.9626 Tf -327.005 -22.878 Td [(imold)]TJ -0 g 0 G -/F8 9.9626 Tf 32.988 0 Td [(The)-333(desired)-334(dynamic)-333(t)28(yp)-28(e)-333(for)-334(th)1(e)-334(in)28(ternal)-333(in)28(te)-1(ger)-333(v)28(ector)-333(s)-1(t)1(o)-1(r)1(age)-1(.)]TJ -8.081 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -55.452 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -70.188 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-222(as:)-389(an)-222(ob)-56(ject)-222(of)-222(a)-222(class)-223(deriv)28(ed)-222(from)-222(\050in)28(teger\051)]TJ/F30 9.9626 Tf 233.541 0 Td [(psb)]TJ +/F16 11.9552 Tf 177.963 706.129 Td [(arra)31(y)]TJ ET q -1 0 0 1 374.662 227.312 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +1 0 0 1 209.557 706.328 cm +[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S Q BT -/F30 9.9626 Tf 377.8 227.113 Td [(T)]TJ +/F16 11.9552 Tf 213.592 706.129 Td [(write)-438(|)-438(W)93(rite)-438(a)-438(dense)-438(arra)31(y)-438(from)-438(a)-438(\014le)-439(in)-438(the)]TJ -62.887 -13.948 Td [(MatrixMark)31(et)-375(format)]TJ/F27 9.9626 Tf 1.377 -24.367 Td [(c)-138(a)-138(l)-139(l)]TJ/F8 9.9626 Tf 29.492 0 Td [(m)-99(m)]TJ ET q -1 0 0 1 383.658 227.312 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +1 0 0 1 200.739 668.014 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F30 9.9626 Tf 386.796 227.113 Td [(base)]TJ +/F8 9.9626 Tf 204.709 667.814 Td [(a)-98(r)-99(r)-98(a)-99(y)]TJ ET q -1 0 0 1 408.345 227.312 cm +1 0 0 1 233.237 668.014 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F8 9.9626 Tf 237.207 667.814 Td [(w)-99(r)-98(i)-98(t)-99(e)-204(\050)-120(b)-191(,)-911(i)-149(r)-150(e)-149(t)-461(,)-896(i)-134(u)-135(n)-135(i)-135(t)-431(,)-890(f)-129(i)-129(l)-129(e)-129(n)-129(a)-129(m)-129(e)-235(\051)]TJ +0 g 0 G +0 g 0 G +0 g 0 G +/F27 9.9626 Tf -86.502 -17.933 Td [(T)32(yp)-32(e:)]TJ +0 g 0 G +/F8 9.9626 Tf 33.797 0 Td [(Async)28(hronous.)]TJ +0 g 0 G +/F27 9.9626 Tf -33.797 -19.925 Td [(On)-383(En)32(try)]TJ +0 g 0 G +0 g 0 G + 0 -19.925 Td [(b)]TJ +0 g 0 G +/F8 9.9626 Tf 11.346 0 Td [(Rigth)-333(hand)-334(side\050s\051.)]TJ 13.56 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(An)-333(arra)27(y)-333(of)-333(t)28(yp)-28(e)-333(real)-334(or)-333(complex,)-333(rank)-334(1)-333(or)-333(2;)-334(will)-333(b)-28(e)-333(written..)]TJ +0 g 0 G +/F27 9.9626 Tf -24.906 -19.926 Td [(\014lename)]TJ +0 g 0 G +/F8 9.9626 Tf 46.513 0 Td [(The)-333(name)-334(of)-333(the)-333(\014le)-334(to)-333(b)-28(e)-333(written.)]TJ -21.607 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.184 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -65.76 -11.955 Td [(Sp)-28(eci\014ed)-435(as:)-648(a)-435(c)28(haracte)-1(r)-435(v)56(ariable)-435(con)28(taining)-435(a)-436(v)56(alid)-435(\014le)-435(name,)-461(or)]TJ/F30 9.9626 Tf 297.915 0 Td [(-)]TJ/F8 9.9626 Tf 5.23 0 Td [(,)-461(in)]TJ -303.145 -11.955 Td [(whic)28(h)-302(case)-303(the)-302(default)-302(input)-302(unit)-302(5)-303(\050i.e.)-434(standard)-302(input)-302(in)-302(Unix)-302(jargon\051)-302(is)]TJ 0 -11.955 Td [(used.)-444(Default:)]TJ/F30 9.9626 Tf 66.057 0 Td [(-)]TJ/F8 9.9626 Tf 5.231 0 Td [(.)]TJ +0 g 0 G +/F27 9.9626 Tf -96.195 -19.926 Td [(iunit)]TJ +0 g 0 G +/F8 9.9626 Tf 28.532 0 Td [(The)-333(F)83(ortran)-333(\014le)-334(u)1(nit)-334(n)28(um)28(b)-28(er.)]TJ -3.625 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 25.183 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -65.76 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-444(an)-334(in)28(teger)-333(v)55(alue.)-444(Only)-333(me)-1(an)1(ingful)-334(if)-333(\014lename)-333(is)-334(not)]TJ/F30 9.9626 Tf 286.288 0 Td [(-)]TJ/F8 9.9626 Tf 5.23 0 Td [(.)]TJ +0 g 0 G +/F27 9.9626 Tf -316.425 -21.918 Td [(On)-383(Return)]TJ +0 g 0 G +0 g 0 G + 0 -19.925 Td [(iret)]TJ +0 g 0 G +/F8 9.9626 Tf 22.589 0 Td [(Error)-333(co)-28(de.)]TJ 2.318 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detected.)]TJ +0 g 0 G + 139.477 -318.348 Td [(132)]TJ +0 g 0 G +ET + +endstream +endobj +1753 0 obj +<< +/Length 1212 +>> +stream +0 g 0 G +0 g 0 G +BT +/F16 14.3462 Tf 99.895 706.129 Td [(10)-1125(Preconditioner)-375(routines)]TJ/F8 9.9626 Tf 0 -21.821 Td [(The)-310(base)-310(PSBLAS)-310(library)-310(con)28(tains)-310(the)-310(implemen)28(tation)-310(of)-310(t)28(w)27(o)-310(simple)-310(precondi-)]TJ 0 -11.955 Td [(tioning)-333(tec)27(hn)1(iques:)]TJ +0 g 0 G +/F14 9.9626 Tf 14.944 -19.925 Td [(\017)]TJ +0 g 0 G +/F8 9.9626 Tf 9.963 0 Td [(Diagonal)-333(Scaling)]TJ +0 g 0 G +/F14 9.9626 Tf -9.963 -19.926 Td [(\017)]TJ +0 g 0 G +/F8 9.9626 Tf 9.963 0 Td [(Blo)-28(c)28(k)-333(Jacobi)-334(with)-333(ILU\0500\051)-333(factorization)]TJ -24.907 -19.925 Td [(The)-364(supp)-27(orting)-364(data)-364(t)28(yp)-27(e)-364(and)-364(subroutine)-363(in)28(terfaces)-364(are)-364(de\014ned)-363(in)-364(the)-364(mo)-27(dule)]TJ/F30 9.9626 Tf 0 -11.955 Td [(psb_prec_mod)]TJ/F8 9.9626 Tf 62.764 0 Td [(.)-844(The)-466(old)-466(in)27(terfaces)]TJ/F30 9.9626 Tf 96.595 0 Td [(psb_precinit)]TJ/F8 9.9626 Tf 67.41 0 Td [(and)]TJ/F30 9.9626 Tf 20.698 0 Td [(psb_precbld)]TJ/F8 9.9626 Tf 62.18 0 Td [(are)-466(still)]TJ -309.647 -11.955 Td [(supp)-28(orted)-333(for)-333(bac)27(kw)28(ard)-333(compatibilit)28(y)]TJ +0 g 0 G + 164.384 -498.229 Td [(133)]TJ +0 g 0 G +ET + +endstream +endobj +1760 0 obj +<< +/Length 4508 +>> +stream +0 g 0 G +0 g 0 G +BT +/F16 11.9552 Tf 150.705 706.129 Td [(init)-375(|)-375(Initialize)-375(a)-375(preconditioner)]TJ +0 g 0 G +0 g 0 G +/F30 9.9626 Tf 0 -18.389 Td [(call)-525(prec%init\050ptype,)-525(info\051)]TJ +0 g 0 G +/F27 9.9626 Tf 0 -21.918 Td [(T)32(yp)-32(e:)]TJ +0 g 0 G +/F8 9.9626 Tf 33.797 0 Td [(Async)28(hronous.)]TJ +0 g 0 G +/F27 9.9626 Tf -33.797 -19.926 Td [(On)-383(En)32(try)]TJ +0 g 0 G +0 g 0 G + 0 -19.925 Td [(pt)32(yp)-32(e)]TJ +0 g 0 G +/F8 9.9626 Tf 33.465 0 Td [(the)-333(t)28(yp)-28(e)-334(of)-333(preconditioner.)-444(Scop)-28(e:)]TJ/F27 9.9626 Tf 153.092 0 Td [(global)]TJ/F8 9.9626 Tf -161.651 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(c)28(haracter)-334(stri)1(ng,)-334(see)-333(usage)-334(notes.)]TJ +0 g 0 G +/F27 9.9626 Tf -24.906 -19.926 Td [(On)-383(Exit)]TJ +0 g 0 G +0 g 0 G + 0 -19.925 Td [(prec)]TJ +0 g 0 G +/F8 9.9626 Tf 26.408 0 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -33.88 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.097 0 Td [(.)]TJ -59.583 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(preconditioner)-333(data)-333(structure)]TJ +0 0 1 rg 0 0 1 RG +/F30 9.9626 Tf 197.538 0 Td [(psb)]TJ +ET +q +1 0 0 1 389.467 514.589 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 411.483 227.113 Td [(vect)]TJ +/F30 9.9626 Tf 392.606 514.39 Td [(prec)]TJ ET q -1 0 0 1 433.032 227.312 cm +1 0 0 1 414.155 514.589 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 436.171 227.113 Td [(type)]TJ/F8 9.9626 Tf 20.921 0 Td [(.)]TJ +/F30 9.9626 Tf 417.293 514.39 Td [(type)]TJ 0 g 0 G -/F27 9.9626 Tf -357.197 -24.133 Td [(On)-383(Return)]TJ +/F8 9.9626 Tf 20.921 0 Td [(.)]TJ +0 g 0 G +/F27 9.9626 Tf -287.509 -19.926 Td [(info)]TJ 0 g 0 G +/F8 9.9626 Tf 23.758 0 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -31.23 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.034 -11.955 Td [(Error)-333(co)-28(de:)-444(if)-334(no)-333(error,)-333(0)-334(is)-333(returned.)]TJ/F16 11.9552 Tf -24.907 -21.918 Td [(Notes)]TJ/F8 9.9626 Tf 37.058 0 Td [(Legal)-316(inputs)-315(to)-316(this)-316(subroutine)-315(are)-316(in)28(terpreted)-316(dep)-28(ending)-315(on)-316(the)]TJ/F11 9.9626 Tf 283.15 0 Td [(pty)-36(pe)]TJ/F8 9.9626 Tf -320.208 -11.955 Td [(string)-333(as)-334(follo)28(ws)]TJ +0 0 1 rg 0 0 1 RG +/F7 6.9738 Tf 69.932 3.615 Td [(4)]TJ 0 g 0 G - 0 -22.879 Td [(prec)]TJ +/F8 9.9626 Tf 4.47 -3.615 Td [(:)]TJ 0 g 0 G -/F8 9.9626 Tf 26.408 0 Td [(the)-333(preconditioner.)]TJ -1.501 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(precondtioner)-333(data)-333(structure)]TJ +/F27 9.9626 Tf -74.402 -19.925 Td [(NONE)]TJ +0 g 0 G +/F8 9.9626 Tf 39.048 0 Td [(No)-333(preconditioning,)-333(i.e.)-445(the)-333(preconditioner)-333(is)-334(just)-333(a)-333(cop)27(y)-333(op)-28(erator.)]TJ +0 g 0 G +/F27 9.9626 Tf -39.048 -19.926 Td [(DIA)32(G)]TJ +0 g 0 G +/F8 9.9626 Tf 35.464 0 Td [(Diagonal)-441(scaling;)-496(eac)28(h)-442(en)28(try)-441(of)-441(the)-442(input)-441(v)28(ector)-442(is)-441(m)27(ulti)1(plied)-442(b)28(y)-441(the)]TJ -10.557 -11.955 Td [(recipro)-28(cal)-346(of)-346(the)-346(sum)-345(of)-346(the)-346(absolute)-346(v)55(alues)-346(of)-346(th)1(e)-346(c)-1(o)-27(e\016cien)27(ts)-346(in)-345(the)-346(cor-)]TJ 0 -11.955 Td [(resp)-28(onding)-333(ro)28(w)-334(of)-333(matrix)]TJ/F11 9.9626 Tf 113.602 0 Td [(A)]TJ/F8 9.9626 Tf 7.472 0 Td [(;)]TJ +0 g 0 G +/F27 9.9626 Tf -145.981 -19.925 Td [(BJA)32(C)]TJ +0 g 0 G +/F8 9.9626 Tf 35.672 0 Td [(Precondition)-249(b)28(y)-249(a)-249(factorization)-248(of)-249(the)-249(blo)-28(c)28(k-diagonal)-249(of)-249(matrix)]TJ/F11 9.9626 Tf 269.664 0 Td [(A)]TJ/F8 9.9626 Tf 7.472 0 Td [(,)-266(where)]TJ -287.901 -11.956 Td [(blo)-28(c)28(k)-457(b)-28(oundaries)-457(are)-457(determined)-457(b)28(y)-457(the)-457(data)-457(allo)-28(cation)-457(b)-28(oundaries)-457(for)]TJ 0 -11.955 Td [(eac)28(h)-347(pro)-27(c)-1(ess;)-353(requires)-346(no)-347(comm)28(unication.)-484(Only)-347(the)-346(incomplete)-347(factoriza-)]TJ 0 -11.955 Td [(tion)]TJ/F11 9.9626 Tf 20.478 0 Td [(I)-78(LU)]TJ/F8 9.9626 Tf 19.83 0 Td [(\0500\051)-333(is)-334(curren)28(tly)-333(implemen)28(ted.)]TJ +0 g 0 G +ET +q +1 0 0 1 150.705 129.78 cm +[]0 d 0 J 0.398 w 0 0 m 137.482 0 l S +Q +BT +/F32 5.9776 Tf 161.797 123.138 Td [(4)]TJ/F31 7.9701 Tf 4.151 -2.812 Td [(The)-354(string)-354(is)-354(c)-1(a)1(se)-1(-)1(i)-1(nsensitiv)30(e)]TJ +0 g 0 G +0 g 0 G +/F8 9.9626 Tf 149.14 -29.888 Td [(134)]TJ +0 g 0 G +ET + +endstream +endobj +1769 0 obj +<< +/Length 7751 +>> +stream +0 g 0 G +0 g 0 G +BT +/F16 11.9552 Tf 99.895 706.129 Td [(build)-375(|)-375(Builds)-375(a)-375(preconditioner)]TJ +0 g 0 G +0 g 0 G +/F30 9.9626 Tf 0 -19.764 Td [(call)-525(prec%build\050a,)-525(desc_a,)-525(info[,amold,vmold,imold]\051)]TJ +0 g 0 G +/F27 9.9626 Tf 0 -24.132 Td [(T)32(yp)-32(e:)]TJ +0 g 0 G +/F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ +0 g 0 G +/F27 9.9626 Tf -33.797 -22.879 Td [(On)-383(En)32(try)]TJ +0 g 0 G +0 g 0 G + 0 -22.879 Td [(a)]TJ +0 g 0 G +/F8 9.9626 Tf 10.551 0 Td [(the)-333(system)-334(sparse)-333(matrix.)-445(Scop)-27(e:)]TJ/F27 9.9626 Tf 148.886 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -134.53 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(,)-333(target.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(sparse)-333(matrix)-334(data)-333(structure)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 194.77 0 Td [(psb)]TJ +/F30 9.9626 Tf 194.05 0 Td [(psb)]TJ ET q -1 0 0 1 335.891 132.48 cm +1 0 0 1 335.171 580.809 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 339.029 132.281 Td [(prec)]TJ +/F30 9.9626 Tf 338.309 580.61 Td [(Tspmat)]TJ ET q -1 0 0 1 360.578 132.48 cm +1 0 0 1 370.319 580.809 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 363.716 132.281 Td [(type)]TJ +/F30 9.9626 Tf 373.457 580.61 Td [(type)]TJ +0 g 0 G +/F8 9.9626 Tf 20.922 0 Td [(.)]TJ +0 g 0 G +/F27 9.9626 Tf -294.484 -22.879 Td [(prec)]TJ +0 g 0 G +/F8 9.9626 Tf 26.408 0 Td [(the)-333(preconditioner.)]TJ -1.501 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.956 Td [(Sp)-28(eci\014ed)-222(as:)-389(an)-222(already)-222(initialized)-222(precondtioner)-222(data)-223(structure)]TJ +0 0 1 rg 0 0 1 RG +/F30 9.9626 Tf 273.115 0 Td [(psb)]TJ +ET +q +1 0 0 1 414.236 510.11 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 417.374 509.91 Td [(prec)]TJ +ET +q +1 0 0 1 438.923 510.11 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 442.061 509.91 Td [(type)]TJ +0 g 0 G 0 g 0 G +/F27 9.9626 Tf -342.166 -34.833 Td [(desc)]TJ +ET +q +1 0 0 1 121.81 475.276 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +Q +BT +/F27 9.9626 Tf 125.247 475.077 Td [(a)]TJ +0 g 0 G +/F8 9.9626 Tf 10.551 0 Td [(the)-333(problem)-334(comm)28(unication)-333(descriptor.)-445(Scop)-27(e:)]TJ/F27 9.9626 Tf 208.247 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -219.243 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(,)-333(target.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(comm)28(unication)-333(desc)-1(ri)1(ptor)-334(data)-333(structure)]TJ +0 0 1 rg 0 0 1 RG +/F30 9.9626 Tf 247.683 0 Td [(psb)]TJ +ET +q +1 0 0 1 388.803 439.41 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 391.942 439.211 Td [(desc)]TJ +ET +q +1 0 0 1 413.491 439.41 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 416.629 439.211 Td [(type)]TJ +0 g 0 G +/F8 9.9626 Tf 20.921 0 Td [(.)]TJ +0 g 0 G +/F27 9.9626 Tf -337.655 -22.879 Td [(amold)]TJ +0 g 0 G +/F8 9.9626 Tf 35.374 0 Td [(The)-333(desired)-334(dynamic)-333(t)28(yp)-28(e)-333(for)-334(the)-333(in)28(ternal)-333(matrix)-334(storage.)]TJ -10.467 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -55.452 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -70.188 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(ob)-55(ject)-334(of)-333(a)-333(class)-334(deriv)28(ed)-333(from)]TJ/F30 9.9626 Tf 203.349 0 Td [(psb)]TJ +ET +q +1 0 0 1 344.47 368.711 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 347.608 368.512 Td [(T)]TJ +ET +q +1 0 0 1 353.466 368.711 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 356.604 368.512 Td [(base)]TJ +ET +q +1 0 0 1 378.153 368.711 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 381.291 368.512 Td [(sparse)]TJ +ET +q +1 0 0 1 413.301 368.711 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 416.439 368.512 Td [(mat)]TJ/F8 9.9626 Tf 15.691 0 Td [(.)]TJ 0 g 0 G -/F8 9.9626 Tf -99.437 -41.843 Td [(131)]TJ +/F27 9.9626 Tf -332.235 -22.879 Td [(vmold)]TJ 0 g 0 G +/F8 9.9626 Tf 35.852 0 Td [(The)-333(desired)-334(dynamic)-333(t)28(yp)-28(e)-333(for)-334(the)-333(in)28(ternal)-333(v)27(ector)-333(storage.)]TJ -10.945 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -55.452 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -70.188 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(ob)-55(ject)-334(of)-333(a)-333(class)-334(deriv)28(ed)-333(from)]TJ/F30 9.9626 Tf 203.349 0 Td [(psb)]TJ ET +q +1 0 0 1 344.47 298.012 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 347.608 297.812 Td [(T)]TJ +ET +q +1 0 0 1 353.466 298.012 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 356.604 297.812 Td [(base)]TJ +ET +q +1 0 0 1 378.153 298.012 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 381.291 297.812 Td [(vect)]TJ +ET +q +1 0 0 1 402.84 298.012 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 405.978 297.812 Td [(type)]TJ/F8 9.9626 Tf 20.922 0 Td [(.)]TJ +0 g 0 G +/F27 9.9626 Tf -327.005 -22.878 Td [(imold)]TJ +0 g 0 G +/F8 9.9626 Tf 32.988 0 Td [(The)-333(desired)-334(dynamic)-333(t)28(yp)-28(e)-333(for)-334(th)1(e)-334(in)28(ternal)-333(in)28(te)-1(ger)-333(v)28(ector)-333(s)-1(t)1(o)-1(r)1(age)-1(.)]TJ -8.081 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -55.452 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(optional)]TJ/F8 9.9626 Tf 40.577 0 Td [(.)]TJ -70.188 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-222(as:)-389(an)-222(ob)-56(ject)-222(of)-222(a)-222(class)-223(deriv)28(ed)-222(from)-222(\050in)28(teger\051)]TJ/F30 9.9626 Tf 233.541 0 Td [(psb)]TJ +ET +q +1 0 0 1 374.662 227.312 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 377.8 227.113 Td [(T)]TJ +ET +q +1 0 0 1 383.658 227.312 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 386.796 227.113 Td [(base)]TJ +ET +q +1 0 0 1 408.345 227.312 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 411.483 227.113 Td [(vect)]TJ +ET +q +1 0 0 1 433.032 227.312 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 436.171 227.113 Td [(type)]TJ/F8 9.9626 Tf 20.921 0 Td [(.)]TJ +0 g 0 G +/F27 9.9626 Tf -357.197 -24.133 Td [(On)-383(Return)]TJ +0 g 0 G +0 g 0 G + 0 -22.879 Td [(prec)]TJ +0 g 0 G +/F8 9.9626 Tf 26.408 0 Td [(the)-333(preconditioner.)]TJ -1.501 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(precondtioner)-333(data)-333(structure)]TJ +0 0 1 rg 0 0 1 RG +/F30 9.9626 Tf 194.77 0 Td [(psb)]TJ +ET +q +1 0 0 1 335.891 132.48 cm +[]0 d 0 J 0.398 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[(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(n)27(um)28(b)-28(er.)-444(Default:)-444(default)-334(outpu)1(t)-334(unit.)]TJ +0 g 0 G +/F27 9.9626 Tf -24.906 -19.926 Td [(ro)-32(ot)]TJ +0 g 0 G +/F8 9.9626 Tf 25.93 0 Td [(Pro)-28(cess)-333(from)-334(whic)28(h)-333(to)-333(prin)28(t)-334(Scop)-28(e:)]TJ/F27 9.9626 Tf 157.244 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -158.268 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(optional)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-478(as:)-733(an)-478(in)28(teger)-478(n)28(um)27(b)-27(er)-478(b)-28(et)28(w)28(een)-478(0)-478(and)]TJ/F11 9.9626 Tf 220.073 0 Td [(np)]TJ/F14 9.9626 Tf 14.166 0 Td [(\000)]TJ/F8 9.9626 Tf 10.922 0 Td [(1,)-514(in)-478(whic)28(h)-478(case)]TJ -245.161 -11.955 Td [(the)-410(sp)-28(eci\014ed)-410(pro)-28(cess)-410(will)-411(pri)1(n)27(t)-410(the)-410(description,)-429(or)]TJ/F14 9.9626 Tf 225 0 Td [(\000)]TJ/F8 9.9626 Tf 7.749 0 Td [(1,)-429(in)-411(whic)28(h)-410(case)-410(all)]TJ -232.749 -11.955 Td [(pro)-28(cesses)-333(will)-334(prin)28(t.)-444(Default:)-445(0.)]TJ +0 g 0 G + 139.477 -352.221 Td [(138)]TJ +0 g 0 G +ET + +endstream +endobj +1791 0 obj +<< +/Length 989 +>> +stream +0 g 0 G +0 g 0 G +BT +/F16 11.9552 Tf 99.895 706.129 Td [(clone)-375(|)-375(clone)-375(curren)31(t)-375(preconditioner)]TJ +0 g 0 G +0 g 0 G +/F30 9.9626 Tf 0 -18.389 Td [(call)-1050(prec%clone\050precout,info\051)]TJ +0 g 0 G +/F27 9.9626 Tf 0 -21.918 Td [(T)32(yp)-32(e:)]TJ +0 g 0 G +/F8 9.9626 Tf 33.797 0 Td [(Async)28(hronous.)]TJ +0 g 0 G +/F27 9.9626 Tf -33.797 -19.926 Td [(On)-383(En)32(try)]TJ +0 g 0 G +0 g 0 G + 0 -19.925 Td [(prec)]TJ +0 g 0 G +/F8 9.9626 Tf 26.408 0 Td [(the)-333(preconditioner.)]TJ -1.501 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ +0 g 0 G +/F27 9.9626 Tf -80.359 -33.873 Td [(On)-383(Return)]TJ +0 g 0 G +0 g 0 G + 0 -19.925 Td [(precout)]TJ +0 g 0 G +/F8 9.9626 Tf 42.957 0 Td [(A)-333(cop)27(y)-333(of)-333(the)-334(in)1(put)-334(ob)-55(ject.)]TJ +0 g 0 G +/F27 9.9626 Tf -42.957 -19.926 Td [(info)]TJ +0 g 0 G +/F8 9.9626 Tf 23.758 0 Td [(Return)-333(co)-28(de.)]TJ +0 g 0 G + 140.626 -449.854 Td [(139)]TJ +0 g 0 G +ET + +endstream +endobj +1798 0 obj +<< +/Length 2730 +>> +stream +0 g 0 G +0 g 0 G +BT +/F16 11.9552 Tf 150.705 706.129 Td [(free)-375(|)-375(F)94(ree)-375(a)-375(preconditioner)]TJ +0 g 0 G +0 g 0 G +/F30 9.9626 Tf 0 -18.389 Td [(call)-525(prec%free\050info\051)]TJ +0 g 0 G +/F27 9.9626 Tf 0 -21.918 Td [(T)32(yp)-32(e:)]TJ +0 g 0 G +/F8 9.9626 Tf 33.797 0 Td [(Async)28(hronous.)]TJ +0 g 0 G +/F27 9.9626 Tf -33.797 -19.926 Td [(On)-383(En)32(try)]TJ +0 g 0 G +0 g 0 G + 0 -19.925 Td [(prec)]TJ +0 g 0 G +/F8 9.9626 Tf 26.408 0 Td [(the)-333(preconditioner.)]TJ -1.501 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -55.451 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(inout)]TJ/F8 9.9626 Tf 26.097 0 Td [(.)]TJ -59.582 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-444(a)-334(preconditioner)-333(data)-333(structure)]TJ +0 0 1 rg 0 0 1 RG +/F30 9.9626 Tf 197.537 0 Td [(psb)]TJ +ET +q +1 0 0 1 389.467 578.35 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 392.606 578.15 Td [(prec)]TJ +ET +q +1 0 0 1 414.155 578.35 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 417.293 578.15 Td [(type)]TJ +0 g 0 G +/F8 9.9626 Tf 20.921 0 Td [(.)]TJ +0 g 0 G +/F27 9.9626 Tf -287.509 -19.925 Td [(On)-383(Exit)]TJ +0 g 0 G +0 g 0 G + 0 -19.925 Td [(prec)]TJ +0 g 0 G +/F8 9.9626 Tf 26.408 0 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -33.879 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(inout)]TJ/F8 9.9626 Tf 26.097 0 Td [(.)]TJ -59.582 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-444(a)-334(preconditioner)-333(data)-333(structure)]TJ +0 0 1 rg 0 0 1 RG +/F30 9.9626 Tf 197.537 0 Td [(psb)]TJ +ET +q +1 0 0 1 389.467 502.634 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 376.751 277.279 Td [(vect)]TJ +/F30 9.9626 Tf 392.606 502.434 Td [(prec)]TJ ET q -1 0 0 1 398.3 277.478 cm +1 0 0 1 414.155 502.634 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 401.438 277.279 Td [(type)]TJ +/F30 9.9626 Tf 417.293 502.434 Td [(type)]TJ 0 g 0 G /F8 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -322.464 -19.926 Td [(info)]TJ +/F27 9.9626 Tf -287.509 -19.925 Td [(info)]TJ 0 g 0 G -/F8 9.9626 Tf 23.758 0 Td [(Error)-333(co)-28(de.)]TJ 1.149 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.035 -11.955 Td [(An)-333(in)28(tege)-1(r)-333(v)56(alue;)-334(0)-333(means)-333(no)-334(error)-333(has)-333(b)-28(een)-333(detecte)-1(d)1(.)]TJ +/F8 9.9626 Tf 23.758 0 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -31.23 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.034 -11.955 Td [(Error)-333(co)-28(de:)-444(if)-334(no)-333(error,)-333(0)-334(is)-333(returned.)]TJ/F16 11.9552 Tf -24.907 -21.918 Td [(Notes)]TJ/F8 9.9626 Tf 37.234 0 Td [(Releases)-334(all)-333(in)28(ternal)-333(storage.)]TJ 0 g 0 G - 139.477 -119.095 Td [(133)]TJ + 127.149 -334.288 Td [(140)]TJ 0 g 0 G ET endstream endobj -1737 0 obj +1802 0 obj << -/Length 2936 +/Length 598 >> stream 0 g 0 G 0 g 0 G BT -/F16 11.9552 Tf 150.705 706.129 Td [(descr)-375(|)-375(Prin)31(ts)-375(a)-375(description)-375(of)-375(curren)31(t)-375(preconditioner)]TJ +/F16 14.3462 Tf 99.895 706.129 Td [(11)-1125(Iterativ)31(e)-375(Metho)-31(ds)]TJ/F8 9.9626 Tf 0 -21.821 Td [(In)-519(this)-518(c)28(hapter)-519(w)28(e)-519(pro)28(vide)-519(routin)1(e)-1(s)-518(for)-519(preconditioners)-518(and)-519(iterativ)28(e)-519(meth-)]TJ 0 -11.955 Td [(o)-28(ds.)-647(The)-401(in)28(terfaces)-401(for)-401(Kryl)1(o)27(v)-401(subspace)-400(m)-1(etho)-27(ds)-401(are)-401(a)28(v)55(ailable)-400(in)-401(the)-401(mo)-28(dule)]TJ/F30 9.9626 Tf 0 -11.955 Td [(psb_krylov_mod)]TJ/F8 9.9626 Tf 73.225 0 Td [(.)]TJ 0 g 0 G + 91.159 -569.96 Td [(141)]TJ 0 g 0 G -/F30 9.9626 Tf 0 -18.389 Td [(call)-525(prec%descr\050\051)]TJ 0 -11.956 Td [(call)-525(prec%descr\050iout,)-525(root\051)]TJ +ET + +endstream +endobj +1809 0 obj +<< +/Length 8299 +>> +stream 0 g 0 G -/F27 9.9626 Tf 0 -21.917 Td [(T)32(yp)-32(e:)]TJ 0 g 0 G -/F8 9.9626 Tf 33.797 0 Td [(Async)28(hronous.)]TJ +BT +/F16 11.9552 Tf 150.705 706.129 Td [(psb)]TJ +ET +q +1 0 0 1 171.761 706.328 cm +[]0 d 0 J 0.398 w 0 0 m 4.035 0 l S +Q +BT +/F16 11.9552 Tf 175.796 706.129 Td [(krylo)31(v)-375(|)-375(Krylo)31(v)-375(Metho)-31(ds)-375(Driv)31(er)-375(Routine)]TJ/F8 9.9626 Tf -25.091 -18.389 Td [(This)-343(subroutine)-342(is)-343(a)-343(driv)28(er)-343(that)-342(pro)27(vi)1(des)-343(a)-343(general)-343(in)28(terface)-343(for)-342(all)-343(the)-343(Krylo)28(v-)]TJ 0 -11.956 Td [(Subspace)-333(family)-334(metho)-27(ds)-334(implemen)28(ted)-333(in)-334(PSBLAS)-333(v)28(ersion)-333(2.)]TJ 14.944 -11.955 Td [(The)-333(stopping)-334(criterion)-333(can)-333(tak)28(e)-334(the)-333(follo)28(wing)-334(v)56(alues:)]TJ 0 g 0 G -/F27 9.9626 Tf -33.797 -19.926 Td [(On)-383(En)32(try)]TJ +/F27 9.9626 Tf -14.944 -19.102 Td [(1)]TJ 0 g 0 G +/F8 9.9626 Tf 10.71 0 Td [(norm)28(wise)-334(bac)28(kw)28(ard)-333(error)-334(in)-333(the)-333(in\014nit)28(y)-334(norm;)-333(the)-333(iteration)-333(is)-334(stopp)-28(ed)-333(when)]TJ/F11 9.9626 Tf 109.582 -26.078 Td [(er)-28(r)]TJ/F8 9.9626 Tf 16.95 0 Td [(=)]TJ/F14 9.9626 Tf 38.11 6.74 Td [(k)]TJ/F11 9.9626 Tf 4.981 0 Td [(r)]TJ/F10 6.9738 Tf 4.495 -1.495 Td [(i)]TJ/F14 9.9626 Tf 3.317 1.495 Td [(k)]TJ +ET +q +1 0 0 1 299.658 621.14 cm +[]0 d 0 J 0.398 w 0 0 m 70.572 0 l S +Q +BT +/F8 9.9626 Tf 299.658 611.815 Td [(\050)]TJ/F14 9.9626 Tf 3.875 0 Td [(k)]TJ/F11 9.9626 Tf 4.981 0 Td [(A)]TJ/F14 9.9626 Tf 7.472 0 Td [(kk)]TJ/F11 9.9626 Tf 9.963 0 Td [(x)]TJ/F10 6.9738 Tf 5.693 -1.494 Td [(i)]TJ/F14 9.9626 Tf 3.317 1.494 Td [(k)]TJ/F8 9.9626 Tf 7.196 0 Td [(+)]TJ/F14 9.9626 Tf 9.962 0 Td [(k)]TJ/F11 9.9626 Tf 4.981 0 Td [(b)]TJ/F14 9.9626 Tf 4.276 0 Td [(k)]TJ/F8 9.9626 Tf 4.981 0 Td [(\051)]TJ/F11 9.9626 Tf 7.838 6.834 Td [(<)-278(eps)]TJ 0 g 0 G - 0 -19.925 Td [(prec)]TJ +/F27 9.9626 Tf -223.488 -29.952 Td [(2)]TJ 0 g 0 G -/F8 9.9626 Tf 26.408 0 Td [(the)-333(preconditioner.)-445(Scop)-27(e:)]TJ/F27 9.9626 Tf 119.33 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -120.832 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(preconditioner)-333(data)-333(structure)]TJ -0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 197.538 0 Td [(psb)]TJ +/F8 9.9626 Tf 10.71 0 Td [(Relativ)28(e)-334(residual)-333(in)-333(the)-333(2-norm;)-334(the)-333(iteration)-333(is)-334(stopp)-27(ed)-334(when)]TJ/F11 9.9626 Tf 135.514 -26.078 Td [(er)-28(r)]TJ/F8 9.9626 Tf 16.95 0 Td [(=)]TJ/F14 9.9626 Tf 12.178 6.74 Td [(k)]TJ/F11 9.9626 Tf 4.981 0 Td [(r)]TJ/F10 6.9738 Tf 4.495 -1.495 Td [(i)]TJ/F14 9.9626 Tf 3.317 1.495 Td [(k)]TJ ET q -1 0 0 1 389.467 578.35 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +1 0 0 1 325.59 565.11 cm +[]0 d 0 J 0.398 w 0 0 m 18.708 0 l S Q BT -/F30 9.9626 Tf 392.606 578.15 Td [(prec)]TJ +/F14 9.9626 Tf 325.59 555.785 Td [(k)]TJ/F11 9.9626 Tf 4.981 0 Td [(b)]TJ/F14 9.9626 Tf 4.276 0 Td [(k)]TJ/F7 6.9738 Tf 4.981 -1.494 Td [(2)]TJ/F11 9.9626 Tf 8.433 8.328 Td [(<)-278(eps)]TJ +0 g 0 G +/F27 9.9626 Tf -197.556 -29.952 Td [(3)]TJ +0 g 0 G +/F8 9.9626 Tf 10.71 0 Td [(Relativ)28(e)-334(residual)-333(reduction)-333(in)-333(the)-334(2-norm;)-333(the)-333(iteration)-334(is)-333(stopp)-28(ed)-333(when)]TJ/F11 9.9626 Tf 133.17 -26.078 Td [(er)-28(r)]TJ/F8 9.9626 Tf 16.949 0 Td [(=)]TJ/F14 9.9626 Tf 14.523 6.74 Td [(k)]TJ/F11 9.9626 Tf 4.981 0 Td [(r)]TJ/F10 6.9738 Tf 4.495 -1.495 Td [(i)]TJ/F14 9.9626 Tf 3.317 1.495 Td [(k)]TJ ET q -1 0 0 1 414.155 578.35 cm -[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +1 0 0 1 323.246 509.08 cm +[]0 d 0 J 0.398 w 0 0 m 23.396 0 l S Q BT -/F30 9.9626 Tf 417.293 578.15 Td [(type)]TJ +/F14 9.9626 Tf 323.246 499.755 Td [(k)]TJ/F11 9.9626 Tf 4.981 0 Td [(r)]TJ/F7 6.9738 Tf 4.495 -1.494 Td [(0)]TJ/F14 9.9626 Tf 4.469 1.494 Td [(k)]TJ/F7 6.9738 Tf 4.982 -1.494 Td [(2)]TJ/F11 9.9626 Tf 8.432 8.328 Td [(<)-278(eps)]TJ/F8 9.9626 Tf -199.9 -30.505 Td [(The)-442(b)-28(eha)28(viour)-443(is)-442(con)27(t)1(rolled)-443(b)28(y)-443(th)1(e)-443(istop)-442(argumen)27(t)-442(\050see)-443(later\051.)-771(In)-443(the)-442(ab)-28(o)28(v)28(e)]TJ 0 -11.955 Td [(form)28(ulae,)]TJ/F11 9.9626 Tf 43.127 0 Td [(x)]TJ/F10 6.9738 Tf 5.694 -1.495 Td [(i)]TJ/F8 9.9626 Tf 5.855 1.495 Td [(is)-255(the)-255(ten)28(tativ)28(e)-255(solution)-255(and)]TJ/F11 9.9626 Tf 122.118 0 Td [(r)]TJ/F10 6.9738 Tf 4.494 -1.495 Td [(i)]TJ/F8 9.9626 Tf 6.085 1.495 Td [(=)]TJ/F11 9.9626 Tf 10.516 0 Td [(b)]TJ/F14 9.9626 Tf 4.925 0 Td [(\000)]TJ/F11 9.9626 Tf 8.399 0 Td [(Ax)]TJ/F10 6.9738 Tf 13.165 -1.495 Td [(i)]TJ/F8 9.9626 Tf 5.856 1.495 Td [(the)-255(corresp)-28(onding)-254(residual)]TJ -230.234 -11.956 Td [(at)-333(the)]TJ/F11 9.9626 Tf 29.334 0 Td [(i)]TJ/F8 9.9626 Tf 3.433 0 Td [(-th)-333(iteration.)]TJ/F27 9.9626 Tf -31.39 -17.52 Td [(c)-138(a)-138(l)-139(l)]TJ/F8 9.9626 Tf 29.763 0 Td [(p)-126(s)-125(b)]TJ +ET +q +1 0 0 1 201.196 434.852 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F8 9.9626 Tf 205.436 434.653 Td [(k)-126(r)-125(y)-126(l)-125(o)-126(v)-231(\050)-146(m)-40(e)-41(t)-40(h)-40(o)-40(d)-242(,)-194(a)-228(,)-255(p)-94(r)-94(e)-94(c)-349(,)-176(b)-191(,)-185(x)-209(,)-243(e)-81(p)-81(s)-323(,)-274(d)-113(e)-112(s)-113(c)]TJ +ET +q +1 0 0 1 402.384 434.852 cm +[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +Q +BT +/F8 9.9626 Tf 406.495 434.653 Td [(a)-386(,)-288(i)-127(n)-127(f)-127(o)-302(,)-48(&)]TJ -226.787 -11.956 Td [(&)-579(i)-67(t)-67(m)-68(a)-67(x)-296(,)-311(i)-150(t)-149(e)-150(r)-460(,)]TJ/F27 9.9626 Tf 79.243 0 Td [(e)-65(r)-65(r)]TJ/F8 9.9626 Tf 18.89 0 Td [(,)-305(i)-144(t)-144(r)-144(a)-144(c)-145(e)-449(,)-319(i)-158(r)-158(s)-158(t)-476(,)-288(i)-126(s)-126(t)-126(o)-127(p)-413(,)-230(c)-69(o)-69(n)-69(d)-174(\051)]TJ 0 g 0 G -/F8 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -287.509 -19.925 Td [(iout)]TJ 0 g 0 G -/F8 9.9626 Tf 24.713 0 Td [(output)-333(unit.)-444(Scop)-28(e:)]TJ/F27 9.9626 Tf 89.94 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -89.747 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(optional)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.548 0 Td [(.)]TJ -43.034 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(an)-333(in)28(teger)-333(n)27(um)28(b)-28(er.)-444(Default:)-444(default)-334(outpu)1(t)-334(unit.)]TJ +/F27 9.9626 Tf -127.136 -26.454 Td [(T)32(yp)-32(e:)]TJ 0 g 0 G -/F27 9.9626 Tf -24.906 -19.926 Td [(ro)-32(ot)]TJ +/F8 9.9626 Tf 33.797 0 Td [(Sync)28(hronous.)]TJ 0 g 0 G -/F8 9.9626 Tf 25.93 0 Td [(Pro)-28(cess)-333(from)-334(whic)28(h)-333(to)-333(prin)28(t)-334(Scop)-28(e:)]TJ/F27 9.9626 Tf 157.244 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -158.268 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(optional)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-478(as:)-733(an)-478(in)28(teger)-478(n)28(um)27(b)-27(er)-478(b)-28(et)28(w)28(een)-478(0)-478(and)]TJ/F11 9.9626 Tf 220.073 0 Td [(np)]TJ/F14 9.9626 Tf 14.166 0 Td [(\000)]TJ/F8 9.9626 Tf 10.922 0 Td [(1,)-514(in)-478(whic)28(h)-478(case)]TJ -245.161 -11.955 Td [(the)-410(sp)-28(eci\014ed)-410(pro)-28(cess)-410(will)-411(pri)1(n)27(t)-410(the)-410(description,)-429(or)]TJ/F14 9.9626 Tf 225 0 Td [(\000)]TJ/F8 9.9626 Tf 7.749 0 Td [(1,)-429(in)-411(whic)28(h)-410(case)-410(all)]TJ -232.749 -11.955 Td [(pro)-28(cesses)-333(will)-334(prin)28(t.)-444(Default:)-445(0.)]TJ +/F27 9.9626 Tf -33.797 -19.513 Td [(On)-383(En)32(try)]TJ 0 g 0 G - 139.477 -352.221 Td [(134)]TJ 0 g 0 G -ET - -endstream -endobj -1741 0 obj -<< -/Length 989 ->> -stream + 0 -19.514 Td [(metho)-32(d)]TJ 0 g 0 G +/F8 9.9626 Tf 43.012 0 Td [(a)-235(string)-235(that)-235(de\014nes)-235(the)-236(iterativ)28(e)-235(metho)-28(d)-235(to)-235(b)-28(e)-235(used.)-412(Supp)-27(orted)-235(v)55(alues)]TJ -18.106 -11.955 Td [(are:)]TJ 0 g 0 G -BT -/F16 11.9552 Tf 99.895 706.129 Td [(clone)-375(|)-375(clone)-375(curren)31(t)-375(preconditioner)]TJ +/F27 9.9626 Tf 0 -19.513 Td [(CG:)]TJ 0 g 0 G +/F8 9.9626 Tf 25.447 0 Td [(the)-333(Conjugate)-334(Gradien)28(t)-333(metho)-28(d;)]TJ 0 g 0 G -/F30 9.9626 Tf 0 -18.389 Td [(call)-1050(prec%clone\050precout,info\051)]TJ +/F27 9.9626 Tf -25.447 -15.529 Td [(CGS:)]TJ 0 g 0 G -/F27 9.9626 Tf 0 -21.918 Td [(T)32(yp)-32(e:)]TJ +/F8 9.9626 Tf 31.812 0 Td [(the)-333(Conjugate)-334(Gradien)28(t)-333(Stabilized)-333(metho)-28(d;)]TJ 0 g 0 G -/F8 9.9626 Tf 33.797 0 Td [(Async)28(hronous.)]TJ +/F27 9.9626 Tf -31.812 -15.528 Td [(GCR:)]TJ 0 g 0 G -/F27 9.9626 Tf -33.797 -19.926 Td [(On)-383(En)32(try)]TJ +/F8 9.9626 Tf 34.039 0 Td [(the)-333(Generalized)-334(Conjugate)-333(Residual)-333(metho)-28(d;)]TJ 0 g 0 G +/F27 9.9626 Tf -34.039 -15.529 Td [(F)32(CG:)]TJ 0 g 0 G - 0 -19.925 Td [(prec)]TJ +/F8 9.9626 Tf 32.337 0 Td [(the)-333(Flexible)-334(Conjugate)-333(Gradien)28(t)-333(me)-1(th)1(o)-28(d)]TJ +0 0 1 rg 0 0 1 RG +/F7 6.9738 Tf 177.626 3.616 Td [(5)]TJ 0 g 0 G -/F8 9.9626 Tf 26.408 0 Td [(the)-333(preconditioner.)]TJ -1.501 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ +/F8 9.9626 Tf 4.47 -3.616 Td [(;)]TJ 0 g 0 G -/F27 9.9626 Tf -80.359 -33.873 Td [(On)-383(Return)]TJ +/F27 9.9626 Tf -214.433 -15.528 Td [(BICG:)]TJ 0 g 0 G +/F8 9.9626 Tf 37.941 0 Td [(the)-333(Bi-Conjugate)-334(Gradien)28(t)-333(metho)-28(d;)]TJ 0 g 0 G - 0 -19.925 Td [(precout)]TJ +/F27 9.9626 Tf -37.941 -15.529 Td [(BICGST)96(AB:)]TJ 0 g 0 G -/F8 9.9626 Tf 42.957 0 Td [(A)-333(cop)27(y)-333(of)-333(the)-334(in)1(put)-334(ob)-55(ject.)]TJ +/F8 9.9626 Tf 68.133 0 Td [(the)-333(Bi-Conjugate)-334(Gradien)28(t)-333(Stabilized)-333(me)-1(th)1(o)-28(d;)]TJ 0 g 0 G -/F27 9.9626 Tf -42.957 -19.926 Td [(info)]TJ +/F27 9.9626 Tf -68.133 -15.528 Td [(BICGST)96(ABL:)]TJ +0 g 0 G +/F8 9.9626 Tf 75.024 0 Td [(the)-222(Bi-Conjugate)-222(Gradien)27(t)-222(Stabilized)-222(metho)-28(d)-222(with)-222(restart-)]TJ -53.106 -11.955 Td [(ing;)]TJ +0 g 0 G +/F27 9.9626 Tf -21.918 -15.529 Td [(R)32(GMRES:)]TJ +0 g 0 G +/F8 9.9626 Tf 58.807 0 Td [(the)-333(Generalized)-334(Minimal)-333(Residual)-333(metho)-28(d)-333(with)-334(restarting.)]TJ +0 g 0 G +/F27 9.9626 Tf -83.713 -19.513 Td [(a)]TJ +0 g 0 G +/F8 9.9626 Tf 10.55 0 Td [(the)-333(lo)-28(cal)-333(p)-28(ortion)-333(of)-334(global)-333(sparse)-333(matrix)]TJ/F11 9.9626 Tf 178.969 0 Td [(A)]TJ/F8 9.9626 Tf 7.472 0 Td [(.)]TJ -172.085 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ +0 0 1 rg 0 0 1 RG +/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ +ET +q +1 0 0 1 362.845 137.958 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 365.983 137.759 Td [(Tspmat)]TJ +ET +q +1 0 0 1 397.993 137.958 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 401.131 137.759 Td [(type)]TJ +0 g 0 G +/F8 9.9626 Tf 20.921 0 Td [(.)]TJ +0 g 0 G +ET +q +1 0 0 1 150.705 129.78 cm +[]0 d 0 J 0.398 w 0 0 m 137.482 0 l S +Q +BT +/F32 5.9776 Tf 161.797 123.138 Td [(5)]TJ/F31 7.9701 Tf 4.151 -2.812 Td [(Note:)-472(the)-354(i)-1(mplemen)30(tation)-354(is)-354(for)]TJ/F33 7.9701 Tf 120.249 0 Td [(F)-148(C)-70(G)]TJ/F31 7.9701 Tf 19.733 0 Td [(\0501\051.)]TJ 0 g 0 G -/F8 9.9626 Tf 23.758 0 Td [(Return)-333(co)-28(de.)]TJ 0 g 0 G - 140.626 -449.854 Td [(135)]TJ +/F8 9.9626 Tf 9.158 -29.888 Td [(142)]TJ 0 g 0 G ET endstream endobj -1747 0 obj +1821 0 obj << -/Length 2730 +/Length 7084 >> stream 0 g 0 G 0 g 0 G -BT -/F16 11.9552 Tf 150.705 706.129 Td [(free)-375(|)-375(F)94(ree)-375(a)-375(preconditioner)]TJ 0 g 0 G +BT +/F27 9.9626 Tf 99.895 706.129 Td [(prec)]TJ 0 g 0 G -/F30 9.9626 Tf 0 -18.389 Td [(call)-525(prec%free\050info\051)]TJ +/F8 9.9626 Tf 26.408 0 Td [(The)-333(data)-334(structure)-333(con)28(taining)-333(the)-334(preconditioner.)]TJ -1.501 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.956 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ +0 0 1 rg 0 0 1 RG +/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ +ET +q +1 0 0 1 312.036 658.507 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 315.174 658.308 Td [(prec)]TJ +ET +q +1 0 0 1 336.723 658.507 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 339.861 658.308 Td [(type)]TJ 0 g 0 G -/F27 9.9626 Tf 0 -21.918 Td [(T)32(yp)-32(e:)]TJ +/F8 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F8 9.9626 Tf 33.797 0 Td [(Async)28(hronous.)]TJ +/F27 9.9626 Tf -260.887 -19.427 Td [(b)]TJ 0 g 0 G -/F27 9.9626 Tf -33.797 -19.926 Td [(On)-383(En)32(try)]TJ +/F8 9.9626 Tf 11.347 0 Td [(The)-333(RHS)-334(v)28(ector.)]TJ 13.56 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(rank)-333(one)-333(arra)27(y)-333(or)-333(an)-334(ob)-55(ject)-333(of)-334(t)28(yp)-28(e)]TJ +0 0 1 rg 0 0 1 RG +/F30 9.9626 Tf 223.496 0 Td [(psb)]TJ +ET +q +1 0 0 1 364.616 591.26 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 367.754 591.06 Td [(T)]TJ +ET +q +1 0 0 1 373.612 591.26 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 376.751 591.06 Td [(vect)]TJ +ET +q +1 0 0 1 398.3 591.26 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 401.438 591.06 Td [(type)]TJ 0 g 0 G +/F8 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G - 0 -19.925 Td [(prec)]TJ +/F27 9.9626 Tf -322.464 -19.427 Td [(x)]TJ 0 g 0 G -/F8 9.9626 Tf 26.408 0 Td [(the)-333(preconditioner.)]TJ -1.501 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf 23.073 0 Td [(.)]TJ -55.451 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(inout)]TJ/F8 9.9626 Tf 26.097 0 Td [(.)]TJ -59.582 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-444(a)-334(preconditioner)-333(data)-333(structure)]TJ +/F8 9.9626 Tf 11.028 0 Td [(The)-333(initial)-334(guess.)]TJ 13.879 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(rank)-333(one)-333(arra)27(y)-333(or)-333(an)-334(ob)-55(ject)-333(of)-334(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 197.537 0 Td [(psb)]TJ +/F30 9.9626 Tf 223.496 0 Td [(psb)]TJ ET q -1 0 0 1 389.467 578.35 cm +1 0 0 1 364.616 524.012 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 392.606 578.15 Td [(prec)]TJ +/F30 9.9626 Tf 367.754 523.813 Td [(T)]TJ ET q -1 0 0 1 414.155 578.35 cm +1 0 0 1 373.612 524.012 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 417.293 578.15 Td [(type)]TJ +/F30 9.9626 Tf 376.751 523.813 Td [(vect)]TJ +ET +q +1 0 0 1 398.3 524.012 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S +Q +BT +/F30 9.9626 Tf 401.438 523.813 Td [(type)]TJ 0 g 0 G /F8 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -287.509 -19.925 Td [(On)-383(Exit)]TJ +/F27 9.9626 Tf -322.464 -19.428 Td [(eps)]TJ 0 g 0 G +/F8 9.9626 Tf 21.117 0 Td [(The)-333(stopping)-334(tolerance.)]TJ 3.79 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(real)-333(n)28(um)27(b)-27(er.)]TJ 0 g 0 G - 0 -19.925 Td [(prec)]TJ +/F27 9.9626 Tf -24.907 -19.427 Td [(desc)]TJ +ET +q +1 0 0 1 121.81 437.337 cm +[]0 d 0 J 0.398 w 0 0 m 3.437 0 l S +Q +BT +/F27 9.9626 Tf 125.247 437.138 Td [(a)]TJ 0 g 0 G -/F8 9.9626 Tf 26.408 0 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.378 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -33.879 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(inout)]TJ/F8 9.9626 Tf 26.097 0 Td [(.)]TJ -59.582 -11.956 Td [(Sp)-28(eci\014ed)-333(as:)-444(a)-334(preconditioner)-333(data)-333(structure)]TJ +/F8 9.9626 Tf 10.551 0 Td [(con)28(tains)-334(d)1(ata)-334(structures)-333(for)-333(com)-1(m)28(unications.)]TJ -10.996 -11.956 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(in)]TJ/F8 9.9626 Tf 9.547 0 Td [(.)]TJ -43.033 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(structured)-333(data)-333(of)-334(t)28(yp)-28(e)]TJ 0 0 1 rg 0 0 1 RG -/F30 9.9626 Tf 197.537 0 Td [(psb)]TJ +/F30 9.9626 Tf 170.915 0 Td [(psb)]TJ ET q -1 0 0 1 389.467 502.634 cm +1 0 0 1 312.036 389.516 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 392.606 502.434 Td [(prec)]TJ +/F30 9.9626 Tf 315.174 389.317 Td [(desc)]TJ ET q -1 0 0 1 414.155 502.634 cm +1 0 0 1 336.723 389.516 cm []0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F30 9.9626 Tf 417.293 502.434 Td [(type)]TJ +/F30 9.9626 Tf 339.861 389.317 Td [(type)]TJ 0 g 0 G /F8 9.9626 Tf 20.921 0 Td [(.)]TJ 0 g 0 G -/F27 9.9626 Tf -287.509 -19.925 Td [(info)]TJ +/F27 9.9626 Tf -260.887 -19.427 Td [(itmax)]TJ 0 g 0 G -/F8 9.9626 Tf 23.758 0 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(global)]TJ/F8 9.9626 Tf -31.23 -11.955 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.611 0 Td [(required)]TJ/F8 9.9626 Tf -29.611 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.485 0 Td [(out)]TJ/F8 9.9626 Tf 16.549 0 Td [(.)]TJ -50.034 -11.955 Td [(Error)-333(co)-28(de:)-444(if)-334(no)-333(error,)-333(0)-334(is)-333(returned.)]TJ/F16 11.9552 Tf -24.907 -21.918 Td [(Notes)]TJ/F8 9.9626 Tf 37.234 0 Td 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0 Td [(r)]TJ/F10 6.9738 Tf 4.495 -1.495 Td [(i)]TJ/F14 9.9626 Tf 3.317 1.495 Td [(k)]TJ +/F8 9.9626 Tf 11.028 0 Td [(The)-333(computed)-334(solution.)]TJ 13.878 -11.955 Td [(Scop)-28(e:)]TJ/F27 9.9626 Tf 32.379 0 Td [(lo)-32(cal)]TJ/F8 9.9626 Tf -32.379 -11.956 Td [(T)28(yp)-28(e:)]TJ/F27 9.9626 Tf 29.612 0 Td [(required)]TJ/F8 9.9626 Tf -29.612 -11.955 Td [(In)28(ten)28(t:)]TJ/F27 9.9626 Tf 33.486 0 Td [(inout)]TJ/F8 9.9626 Tf 26.096 0 Td [(.)]TJ -59.582 -11.955 Td [(Sp)-28(eci\014ed)-333(as:)-445(a)-333(rank)-333(one)-334(ar)1(ra)27(y)-333(or)-333(an)-334(ob)-55(ject)-333(of)-334(t)28(yp)-28(e)]TJ +0 0 1 rg 0 0 1 RG +/F30 9.9626 Tf 223.496 0 Td [(psb)]TJ ET q -1 0 0 1 323.246 509.08 cm -[]0 d 0 J 0.398 w 0 0 m 23.396 0 l S +1 0 0 1 415.426 582.791 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F14 9.9626 Tf 323.246 499.755 Td [(k)]TJ/F11 9.9626 Tf 4.981 0 Td [(r)]TJ/F7 6.9738 Tf 4.495 -1.494 Td [(0)]TJ/F14 9.9626 Tf 4.469 1.494 Td [(k)]TJ/F7 6.9738 Tf 4.982 -1.494 Td [(2)]TJ/F11 9.9626 Tf 8.432 8.328 Td [(<)-278(eps)]TJ/F8 9.9626 Tf -199.9 -30.505 Td [(The)-442(b)-28(eha)28(viour)-443(is)-442(con)27(t)1(rolled)-443(b)28(y)-443(th)1(e)-443(istop)-442(argumen)27(t)-442(\050see)-443(later\051.)-771(In)-443(the)-442(ab)-28(o)28(v)28(e)]TJ 0 -11.955 Td [(form)28(ulae,)]TJ/F11 9.9626 Tf 43.127 0 Td [(x)]TJ/F10 6.9738 Tf 5.694 -1.495 Td [(i)]TJ/F8 9.9626 Tf 5.855 1.495 Td [(is)-255(the)-255(ten)28(tativ)28(e)-255(solution)-255(and)]TJ/F11 9.9626 Tf 122.118 0 Td [(r)]TJ/F10 6.9738 Tf 4.494 -1.495 Td [(i)]TJ/F8 9.9626 Tf 6.085 1.495 Td [(=)]TJ/F11 9.9626 Tf 10.516 0 Td [(b)]TJ/F14 9.9626 Tf 4.925 0 Td [(\000)]TJ/F11 9.9626 Tf 8.399 0 Td [(Ax)]TJ/F10 6.9738 Tf 13.165 -1.495 Td [(i)]TJ/F8 9.9626 Tf 5.856 1.495 Td [(the)-255(corresp)-28(onding)-254(residual)]TJ -230.234 -11.956 Td [(at)-333(the)]TJ/F11 9.9626 Tf 29.334 0 Td [(i)]TJ/F8 9.9626 Tf 3.433 0 Td [(-th)-333(iteration.)]TJ/F27 9.9626 Tf -31.39 -17.52 Td [(c)-138(a)-138(l)-139(l)]TJ/F8 9.9626 Tf 29.763 0 Td [(p)-126(s)-125(b)]TJ +/F30 9.9626 Tf 418.564 582.592 Td [(T)]TJ ET q -1 0 0 1 201.196 434.852 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +1 0 0 1 424.422 582.791 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F8 9.9626 Tf 205.436 434.653 Td [(k)-126(r)-125(y)-126(l)-125(o)-126(v)-231(\050)-146(m)-40(e)-41(t)-40(h)-40(o)-40(d)-242(,)-194(a)-228(,)-255(p)-94(r)-94(e)-94(c)-349(,)-176(b)-191(,)-185(x)-209(,)-243(e)-81(p)-81(s)-323(,)-274(d)-113(e)-112(s)-113(c)]TJ +/F30 9.9626 Tf 427.56 582.592 Td [(vect)]TJ ET q -1 0 0 1 402.384 434.852 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S +1 0 0 1 449.109 582.791 cm +[]0 d 0 J 0.398 w 0 0 m 3.138 0 l S Q BT -/F8 9.9626 Tf 406.495 434.653 Td [(a)-386(,)-288(i)-127(n)-127(f)-127(o)-302(,)-48(&)]TJ -226.787 -11.956 Td [(&)-579(i)-67(t)-67(m)-68(a)-67(x)-296(,)-311(i)-150(t)-149(e)-150(r)-460(,)]TJ/F27 9.9626 Tf 79.243 0 Td [(e)-65(r)-65(r)]TJ/F8 9.9626 Tf 18.89 0 Td 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It may be + necessary and/or advisable to compute multiple dot products at the same + time; in this case, it is possible to improve the runtime efficiency + by using the following scheme: + \begin{lstlisting} + vres(1) = psb_gedot(x1,y1,desc_a,info,global=.false.) + vres(2) = psb_gedot(x2,y2,desc_a,info,global=.false.) + vres(3) = psb_gedot(x3,y3,desc_a,info,global=.false.) + call psb_sum(ictxt,vres(1:3)) + \end{lstlisting} + In this way the global communication, which for small sizes is a + latency-bound operation, is invoked only once. +\end{enumerate} + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % % F90DOT PRODUCT % @@ -294,8 +319,8 @@ else if $x$ is a complex vector then it computes the infinity-norm as: %% \end{description} \begin{verbatim} -psb_geamax(x, desc_a, info) -psb_normi(x, desc_a, info) +psb_geamax(x, desc_a, info [,global]) +psb_normi(x, desc_a, info [,global]) \end{verbatim} %% \syntax*{psb\_geamax}{x, desc\_a, info, jx} @@ -334,7 +359,13 @@ Scope: {\bf local} \\ Type: {\bf required}\\ Intent: {\bf in}.\\ Specified as: an object of type \descdata. -%% \item[jx] the column index of global dense matrix $x$, +\item[global] Specifies whether the computation should include the + global reduction across all processes.\\ +Scope: {\bf global} \\ +Type: {\bf optional}.\\ +Intent: {\bf in}.\\ +Specified as: a logical scalar. +Default: \verb|global=.true.|\\%% \item[jx] the column index of global dense matrix $x$, %% identifying the column of subvector $x$.\\ %% Scope: {\bf global} \\ %% Type: {\bf optional}; can only be present if $x$ is of rank 2.\\ @@ -343,7 +374,8 @@ Specified as: an object of type \descdata. \item[\bf On Return] \item[Function value] is the infinity norm of subvector $x$.\\ -Scope: {\bf global} \\ +Scope: {\bf global} unless the optional variable +\verb|global=.false.| as been specified\\ Specified as: a long precision real number. \item[info] Error code.\\ Scope: {\bf local} \\ @@ -351,7 +383,25 @@ 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 The computation of a global result requires a global + communication, which entails a significant overhead. It may be + necessary and/or advisable to compute multiple norms at the same + time; in this case, it is possible to improve the runtime efficiency + by using the following scheme: + \begin{lstlisting} + vres(1) = psb_geamax(x1,desc_a,info,global=.false.) + vres(2) = psb_geamax(x2,desc_a,info,global=.false.) + vres(3) = psb_geamax(x3,desc_a,info,global=.false.) + call psb_amx(ictxt,vres(1:3)) + \end{lstlisting} + In this way the global communication, which for small sizes is a + latency-bound operation, is invoked only once. +\end{enumerate} + +%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % % Infinity norm % @@ -431,8 +481,8 @@ else if $x$ is a complex vector then it computes 1-norm as: \begin{verbatim} -psb_geasum(x, desc_a, info) -psb_norm1(x, desc_a, info) +psb_geasum(x, desc_a, info [,global]) +psb_norm1(x, desc_a, info [,global]) \end{verbatim} \begin{table}[h] @@ -469,10 +519,18 @@ Scope: {\bf local} \\ Type: {\bf required}\\ Intent: {\bf in}.\\ Specified as: an object of type \descdata. +\item[global] Specifies whether the computation should include the + global reduction across all processes.\\ +Scope: {\bf global} \\ +Type: {\bf optional}.\\ +Intent: {\bf in}.\\ +Specified as: a logical scalar. +Default: \verb|global=.true.|\\ \item[\bf On Return] \item[Function value] is the 1-norm of vector $x$.\\ -Scope: {\bf global} \\ +Scope: {\bf global} unless the optional variable +\verb|global=.false.| as been specified\\ Specified as: a long precision real number. \item[info] Error code.\\ Scope: {\bf local} \\ @@ -481,6 +539,23 @@ Intent: {\bf out}.\\ An integer value; 0 means no error has been detected. \end{description} +{\par\noindent\large\bfseries Notes} +\begin{enumerate} +\item The computation of a global result requires a global + communication, which entails a significant overhead. It may be + necessary and/or advisable to compute multiple norms at the same + time; in this case, it is possible to improve the runtime efficiency + by using the following scheme: + \begin{lstlisting} + vres(1) = psb_geasum(x1,desc_a,info,global=.false.) + vres(2) = psb_geasum(x2,desc_a,info,global=.false.) + vres(3) = psb_geasum(x3,desc_a,info,global=.false.) + call psb_sum(ictxt,vres(1:3)) + \end{lstlisting} + In this way the global communication, which for small sizes is a + latency-bound operation, is invoked only once. +\end{enumerate} + \clearpage\subsection*{psb\_geasums --- Generalized 1-Norm of Vector} \addcontentsline{toc}{subsection}{psb\_geasums} @@ -587,8 +662,8 @@ Long Precision Real&Long Precision Complex & psb\_genrm2 \\ \end{table} \begin{verbatim} -psb_genrm2(x, desc_a, info) -psb_norm2(x, desc_a, info) +psb_genrm2(x, desc_a, info [,global]) +psb_norm2(x, desc_a, info [,global]) \end{verbatim} %% \syntax*{psb\_genrm2}{x, desc\_a, info, jx} @@ -610,7 +685,13 @@ Scope: {\bf local} \\ Type: {\bf required}\\ Intent: {\bf in}.\\ Specified as: an object of type \descdata. -%% \item[jx] the column index of global dense matrix $x$, +\item[global] Specifies whether the computation should include the + global reduction across all processes.\\ +Scope: {\bf global} \\ +Type: {\bf optional}.\\ +Intent: {\bf in}.\\ +Specified as: a logical scalar. +Default: \verb|global=.true.|\\%% \item[jx] the column index of global dense matrix $x$, %% identifying the column of subvector $x$.\\ %% Scope: {\bf global} \\ %% Type: {\bf optional}; can only be present if $x$ is of rank 2.\\ @@ -619,7 +700,8 @@ Specified as: an object of type \descdata. \item[\bf On Return] \item[Function Value] is the 2-norm of subvector $x$.\\ -Scope: {\bf global} \\ +Scope: {\bf global} unless the optional variable +\verb|global=.false.| as been specified\\ Type: {\bf required} \\ Specified as: a long precision real number. \item[info] Error code.\\ @@ -629,6 +711,23 @@ Intent: {\bf out}.\\ An integer value; 0 means no error has been detected. \end{description} +{\par\noindent\large\bfseries Notes} +\begin{enumerate} +\item The computation of a global result requires a global + communication, which entails a significant overhead. It may be + necessary and/or advisable to compute multiple norms at the same + time; in this case, it is possible to improve the runtime efficiency + by using the following scheme: + \begin{lstlisting} + vres(1) = psb_genrm2(x1,desc_a,info,global=.false.) + vres(2) = psb_genrm2(x2,desc_a,info,global=.false.) + vres(3) = psb_genrm2(x3,desc_a,info,global=.false.) + call psb_nrm2(ictxt,vres(1:3)) + \end{lstlisting} + In this way the global communication, which for small sizes is a + latency-bound operation, is invoked only once. +\end{enumerate} + \clearpage\subsection*{psb\_genrm2s --- Generalized 2-Norm of Vector} From 22b97ccfc86f4f0394c098119299656249c4dc54 Mon Sep 17 00:00:00 2001 From: Salvatore Filippone Date: Fri, 20 Apr 2018 16:15:47 +0100 Subject: [PATCH 4/7] Fixed spelling in docs. --- docs/html/node54.html | 4 +-- docs/html/node55.html | 2 +- docs/html/node56.html | 4 +-- docs/html/node58.html | 2 +- docs/html/node60.html | 4 +-- docs/psblas-3.5.pdf | 80 +++++++++++++++++++++---------------------- docs/src/psbrout.tex | 36 +++++++++---------- 7 files changed, 66 insertions(+), 66 deletions(-) diff --git a/docs/html/node54.html b/docs/html/node54.html index d08b64d4..ae5d6b92 100644 --- a/docs/html/node54.html +++ b/docs/html/node54.html @@ -235,7 +235,7 @@ Default: global=.true.
            Function value
            -
            is the dot product of subvectors is the dot product of vectors $x$ and global=.true. ALT="$y$">.
            Scope: global unless the optional variable -global=.false. as been specified +global=.false. has been specified
            Specified as: a number of the data type indicated in Table 2.
            diff --git a/docs/html/node55.html b/docs/html/node55.html index 55e32c88..95cc3e36 100644 --- a/docs/html/node55.html +++ b/docs/html/node55.html @@ -205,7 +205,7 @@ Specified as: an object of type descdatapsb_desc_type.
            res
            -
            is the dot product of subvectors is the dot product of vectors $x$ and global=.true.
            Function value
            -
            is the infinity norm of subvector is the infinity norm of vector $x$.
            Scope: global unless the optional variable -global=.false. as been specified +global=.false. has been specified
            Specified as: a long precision real number.
            diff --git a/docs/html/node58.html b/docs/html/node58.html index 5cb839b1..e31738c2 100644 --- a/docs/html/node58.html +++ b/docs/html/node58.html @@ -208,7 +208,7 @@ Default: global=.true. ALT="$x$">.
            Scope: global unless the optional variable -global=.false. as been specified +global=.false. has been specified
            Specified as: a long precision real number.
      3. diff --git a/docs/html/node60.html b/docs/html/node60.html index 77a6ca43..ecce45be 100644 --- a/docs/html/node60.html +++ b/docs/html/node60.html @@ -203,13 +203,13 @@ Default: global=.true.
      Function Value
      -
      is the 2-norm of subvector is the 2-norm of vector $x$.
      Scope: global unless the optional variable -global=.false. as been specified +global=.false. has been specified
      Type: required
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Default: \verb|global=.true.|\\ %% \item[jx] the column index of global dense matrix $x$, -%% identifying the column of subvector $x$.\\ +%% identifying the column of vector $x$.\\ %% Scope: {\bf global} \\ %% Type: {\bf optional}; can only be present if $x$ and $y$ are of rank 2.\\ %% Default: $jx = 1$.\\ %% \item[jy] the column index of global dense matrix $y$, -%% identifying the column of subvector $y$.\\ +%% identifying the column of vector $y$.\\ %% Scope: {\bf global} \\ %% Type: {\bf optional}; can only be present if $x$ and $y$ are of rank 2.\\ %% Default: $jy = 1$.\\ %% Specified as: an integer variable $jy\ge 1$. \item[\bf On Return] -\item[Function value] is the dot product of subvectors $x$ and $y$.\\ +\item[Function value] is the dot product of vectors $x$ and $y$.\\ Scope: {\bf global} unless the optional variable -\verb|global=.false.| as been specified\\ +\verb|global=.false.| has been specified\\ Specified as: a number of the data type indicated in Table~\ref{tab:f90dot}. \item[info] Error code.\\ Scope: {\bf local} \\ @@ -284,7 +284,7 @@ Type: {\bf required}\\ Intent: {\bf in}.\\ Specified as: an object of type \descdata. \item[\bf On Return] -\item[res] is the dot product of subvectors $x$ and $y$.\\ +\item[res] is the dot product of vectors $x$ and $y$.\\ Scope: {\bf global} \\ Intent: {\bf out}.\\ Specified as: a number or a rank-one array of the data type indicated @@ -315,7 +315,7 @@ else if $x$ is a complex vector then it computes the infinity-norm as: \[ amax \leftarrow \max_i {(|re(x_i)| + |im(x_i)|)}\] %% where: %% \begin{description} -%% \item[$x$] represents the global subvector $x_{:,jx}$ +%% \item[$x$] represents the global vector $x_{:,jx}$ %% \end{description} \begin{verbatim} @@ -366,16 +366,16 @@ Type: {\bf optional}.\\ Intent: {\bf in}.\\ Specified as: a logical scalar. Default: \verb|global=.true.|\\%% \item[jx] the column index of global dense matrix $x$, -%% identifying the column of subvector $x$.\\ +%% identifying the column of vector $x$.\\ %% Scope: {\bf global} \\ %% Type: {\bf optional}; can only be present if $x$ is of rank 2.\\ %% Default: $jx = 1$\\ %% Specified as: an integer variable $jx\ge 1$. \item[\bf On Return] -\item[Function value] is the infinity norm of subvector $x$.\\ +\item[Function value] is the infinity norm of vector $x$.\\ Scope: {\bf global} unless the optional variable -\verb|global=.false.| as been specified\\ +\verb|global=.false.| has been specified\\ Specified as: a long precision real number. \item[info] Error code.\\ Scope: {\bf local} \\ @@ -530,7 +530,7 @@ Default: \verb|global=.true.|\\ \item[\bf On Return] \item[Function value] is the 1-norm of vector $x$.\\ Scope: {\bf global} unless the optional variable -\verb|global=.false.| as been specified\\ +\verb|global=.false.| has been specified\\ Specified as: a long precision real number. \item[info] Error code.\\ Scope: {\bf local} \\ @@ -642,7 +642,7 @@ else if $x$ is a complex vector then it computes 2-norm as: \[ nrm2 \leftarrow \sqrt{x^H x}\] %% where: %% \begin{description} -%% \item[$x$] represents the global subvector $x_{:,jx}$ +%% \item[$x$] represents the global vector $x_{:,jx}$ %% \end{description} \begin{table}[h] @@ -692,16 +692,16 @@ Type: {\bf optional}.\\ Intent: {\bf in}.\\ Specified as: a logical scalar. Default: \verb|global=.true.|\\%% \item[jx] the column index of global dense matrix $x$, -%% identifying the column of subvector $x$.\\ +%% identifying the column of vector $x$.\\ %% Scope: {\bf global} \\ %% Type: {\bf optional}; can only be present if $x$ is of rank 2.\\ %% Default: $jx = 1$\\ %% Specified as: an integer variable $jx\ge 1$. \item[\bf On Return] -\item[Function Value] is the 2-norm of subvector $x$.\\ +\item[Function Value] is the 2-norm of vector $x$.\\ Scope: {\bf global} unless the optional variable -\verb|global=.false.| as been specified\\ +\verb|global=.false.| has been specified\\ Type: {\bf required} \\ Specified as: a long precision real number. \item[info] Error code.\\ @@ -1040,13 +1040,13 @@ Specified as: a character variable. %% Default: \verb|min(size(x,2)-jx+1,size(y,2)-jy+1)|\\ %% Specified as: an integer variable $ k \ge 1$. %% \item[jx] the column index of global dense matrix $x$, -%% identifying the column of subvector $x$.\\ +%% identifying the column of vector $x$.\\ %% Scope: {\bf global} \\ %% Type: {\bf optional}; can only be present if $x$ is of rank 2.\\ %% Default: $iy = 1$\\ %% Specified as: an integer variable $jx\ge 1$. %% \item[jy] the column index of global dense matrix $y$, -%% identifying the column of subvector $y$.\\ +%% identifying the column of vector $y$.\\ %% Scope: {\bf global} \\ %% Type: {\bf optional}; can only be present if $y$ is of rank 2.\\ %% Default: $jy = 1$\\ From 9e90a04e311d4eac69b7ce61e896e52984336406 Mon Sep 17 00:00:00 2001 From: Salvatore Filippone Date: Sun, 22 Apr 2018 15:36:01 +0100 Subject: [PATCH 5/7] Change default in CDALL with VL: no global checks. Split psb_cd_choose_large_state with psb_cd_is_large. --- base/modules/desc/psb_desc_mod.F90 | 20 +++++++++++++++----- base/tools/psb_cd_inloc.f90 | 18 +++++++----------- 2 files changed, 22 insertions(+), 16 deletions(-) diff --git a/base/modules/desc/psb_desc_mod.F90 b/base/modules/desc/psb_desc_mod.F90 index 724b9114..41893ff2 100644 --- a/base/modules/desc/psb_desc_mod.F90 +++ b/base/modules/desc/psb_desc_mod.F90 @@ -334,11 +334,23 @@ contains val = cd_large_threshold end function psb_cd_get_large_threshold - logical function psb_cd_choose_large_state(ictxt,m) + function psb_cd_is_large_size(m) result(val) use psb_penv_mod implicit none - integer(psb_ipk_), intent(in) :: ictxt,m + integer(psb_ipk_), intent(in) :: m + logical :: val + !locals + val = (m > psb_cd_get_large_threshold()) + end function psb_cd_is_large_size + + function psb_cd_choose_large_state(ictxt,m) result(val) + use psb_penv_mod + + implicit none + integer(psb_ipk_), intent(in) :: ictxt + integer(psb_ipk_), intent(in) :: m + logical :: val !locals integer(psb_ipk_) :: np,me @@ -348,9 +360,7 @@ contains ! it makes no sense to use them if you don't have at least ! 3 processes, no matter what the size of the process. ! - psb_cd_choose_large_state = & - & (m > psb_cd_get_large_threshold()) .and. & - & (np > 2) + val = psb_cd_is_large_size(m) .and. (np > 2) end function psb_cd_choose_large_state subroutine psb_nullify_desc(desc) diff --git a/base/tools/psb_cd_inloc.f90 b/base/tools/psb_cd_inloc.f90 index 1b31fe2e..6ea184d1 100644 --- a/base/tools/psb_cd_inloc.f90 +++ b/base/tools/psb_cd_inloc.f90 @@ -82,19 +82,15 @@ subroutine psb_cd_inloc(v, ictxt, desc, info, globalcheck,idx) iictxt = ictxt loc_row = size(v) - if (.false.) then - m = loc_row - call psb_sum(ictxt,m) - else - m = maxval(v) - nrt = loc_row - call psb_sum(ictxt,nrt) - call psb_max(ictxt,m) - end if + m = maxval(v) + nrt = loc_row + call psb_sum(ictxt,nrt) + call psb_max(ictxt,m) + if (present(globalcheck)) then check_ = globalcheck else - check_ = .true. + check_ = .false. end if n = m @@ -138,7 +134,7 @@ subroutine psb_cd_inloc(v, ictxt, desc, info, globalcheck,idx) if (debug_level >= psb_debug_ext_) & & write(debug_unit,*) me,' ',trim(name),': doing global checks' - islarge = psb_cd_choose_large_state(ictxt,m) + islarge = psb_cd_is_large_size(m) allocate(vl(loc_row),ix(loc_row),stat=info) if (info /= psb_success_) then From a06985ea7308ee7136e63c61b65f0d7fdc1312ba Mon Sep 17 00:00:00 2001 From: Salvatore Filippone Date: Sun, 22 Apr 2018 15:36:58 +0100 Subject: [PATCH 6/7] Document default in CDALL with VL: no global checks. --- docs/html/node72.html | 4 +-- docs/psblas-3.5.pdf | 62 +++++++++++++++++++++--------------------- docs/src/toolsrout.tex | 4 +-- 3 files changed, 35 insertions(+), 35 deletions(-) diff --git a/docs/html/node72.html b/docs/html/node72.html index fd420f32..58b79db9 100644 --- a/docs/html/node72.html +++ b/docs/html/node72.html @@ -56,7 +56,7 @@ psb_cdall -- Allocates a communication descriptor 
       call psb_cdall(icontxt, desc_a, info,mg=mg,parts=parts)
 call psb_cdall(icontxt, desc_a, info,vg=vg,[mg=mg,flag=flag])
-call psb_cdall(icontxt, desc_a, info,vl=vl,[nl=nl,globalcheck=.true.,lidx=lidx])
+call psb_cdall(icontxt, desc_a, info,vl=vl,[nl=nl,globalcheck=.false.,lidx=lidx])
 call psb_cdall(icontxt, desc_a, info,nl=nl)
 call psb_cdall(icontxt, desc_a, info,mg=mg,repl=.true.)
      @@ -199,7 +199,7 @@ Type:optional.
      Intent: in.
      -Specified as: a logical value, default: .true. +Specified as: a logical value, default: .false.
      lidx
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B%023E@6;5 U79:=B< i>@AHC xXDFGJOI KMNUP QSTYV WEA[\`Z ]_bca n k  +   %EB)"4 $%.,#7N&()*+E/013-W2574s6G8Z9:<DFECQHIPRSTUVWXYZ[\]^_`abcEaEE@NEeEEңEE1EX;E wE +YE FE !E `EE;EE5EeE|EñEEDEEEFEGEHEIEJ.RTSw w wwwwwwwwwwwwwwwwwww w!w"w#w$w%w&w'w(w)w*w+w,w-w.w/w0w1w2w3w4w5w6w7w8w9w:w;w<w=w>w?w@wAwBwCwDwEwFwGwHwIwJwKwLwMwNwOwPwQwRwSwTwUwVwWwXwYwZw[w\w]w^w_w`wawbwc  +    endstream endobj startxref -1289897 +1289899 %%EOF diff --git a/docs/src/toolsrout.tex b/docs/src/toolsrout.tex index a072baed..e39c18b6 100644 --- a/docs/src/toolsrout.tex +++ b/docs/src/toolsrout.tex @@ -11,7 +11,7 @@ \begin{verbatim} call psb_cdall(icontxt, desc_a, info,mg=mg,parts=parts) call psb_cdall(icontxt, desc_a, info,vg=vg,[mg=mg,flag=flag]) -call psb_cdall(icontxt, desc_a, info,vl=vl,[nl=nl,globalcheck=.true.,lidx=lidx]) +call psb_cdall(icontxt, desc_a, info,vl=vl,[nl=nl,globalcheck=.false.,lidx=lidx]) call psb_cdall(icontxt, desc_a, info,nl=nl) call psb_cdall(icontxt, desc_a, info,mg=mg,repl=.true.) \end{verbatim} @@ -75,7 +75,7 @@ Specified as: the logical value \verb|.true.| Scope:{\bf global}.\\ Type:{\bf optional}.\\ Intent: {\bf in}.\\ -Specified as: a logical value, default: \verb|.true.| +Specified as: a logical value, default: \verb|.false.| \item[lidx] Data allocation: the set of local indices $lidx(1:nl)$ to be assigned to the global indices $vl$. \\ Scope:{\bf local}.\\ From 96d224c91283694475de8bbf0078777b2e1c40d5 Mon Sep 17 00:00:00 2001 From: Salvatore Filippone Date: Mon, 23 Apr 2018 07:51:42 +0100 Subject: [PATCH 7/7] Updated changelog --- Changelog | 2 ++ 1 file changed, 2 insertions(+) diff --git a/Changelog b/Changelog index 14021522..4790da3d 100644 --- a/Changelog +++ b/Changelog @@ -1,5 +1,7 @@ Changelog. A lot less detailed than usual, at least for past history. +2018/04/23: Change default for CDALL with VL. New GLOBAL argument for + reductions. 2018/04/15: Fixed pargen benchmark programs. Made MOLD mandatory. 2018/01/10: Updated docs. 2017/12/15: Fixed preconditioner build.
    $x_i, y$ Subroutine