From 53a7db871ab51ddf55d246d64669da679b214fc1 Mon Sep 17 00:00:00 2001 From: Salvatore Filippone Date: Fri, 16 Mar 2012 21:03:02 +0000 Subject: [PATCH] psblas3: base/comm/psb_cgather.f90 base/comm/psb_dgather.f90 base/comm/psb_sgather.f90 base/comm/psb_zgather.f90 base/modules/psb_c_comm_mod.f90 base/modules/psb_d_comm_mod.f90 base/modules/psb_s_comm_mod.f90 base/modules/psb_z_comm_mod.f90 Fixed ALLOCATABLE attribute of globx. Also updated docs. --- base/comm/psb_cgather.f90 | 56 +- base/comm/psb_dgather.f90 | 56 +- base/comm/psb_sgather.f90 | 56 +- base/comm/psb_zgather.f90 | 56 +- base/modules/psb_c_comm_mod.f90 | 6 +- base/modules/psb_d_comm_mod.f90 | 68 +- base/modules/psb_s_comm_mod.f90 | 66 +- base/modules/psb_z_comm_mod.f90 | 10 +- docs/html/img1.png | Bin 210 -> 200 bytes docs/html/img10.png | Bin 446 -> 401 bytes docs/html/img100.png | Bin 277 -> 260 bytes docs/html/img101.png | Bin 200 -> 188 bytes docs/html/img102.png | Bin 150 -> 143 bytes docs/html/img103.png | Bin 273 -> 257 bytes docs/html/img104.png | Bin 390 -> 379 bytes docs/html/img105.png | Bin 266 -> 263 bytes docs/html/img106.png | Bin 273 -> 249 bytes docs/html/img107.png | Bin 284 -> 264 bytes docs/html/img108.png | Bin 419 -> 399 bytes docs/html/img109.png | Bin 222 -> 208 bytes docs/html/img11.png | Bin 562 -> 529 bytes docs/html/img110.png | Bin 258 -> 260 bytes docs/html/img111.png | Bin 868 -> 793 bytes docs/html/img112.png | Bin 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docs/src/commrout.tex | 2 +- 200 files changed, 1326 insertions(+), 1254 deletions(-) diff --git a/base/comm/psb_cgather.f90 b/base/comm/psb_cgather.f90 index 9a05f46f..431c42ef 100644 --- a/base/comm/psb_cgather.f90 +++ b/base/comm/psb_cgather.f90 @@ -50,7 +50,7 @@ subroutine psb_cgatherm(globx, locx, desc_a, info, iroot) implicit none complex(psb_spk_), intent(in) :: locx(:,:) - complex(psb_spk_), intent(out) :: globx(:,:) + complex(psb_spk_), intent(out), allocatable :: globx(:,:) type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info integer(psb_ipk_), intent(in), optional :: iroot @@ -100,16 +100,13 @@ subroutine psb_cgatherm(globx, locx, desc_a, info, iroot) ilocx = 1 jlocx = 1 - lda_globx = size(globx,1) - lda_locx = size(locx, 1) - m = desc_a%get_global_rows() n = desc_a%get_global_cols() - - lock=size(locx,2)-jlocx+1 - globk=size(globx,2)-jglobx+1 - maxk=min(lock,globk) - k = maxk + lda_globx = m + lda_locx = size(locx, 1) + lock = size(locx,2) + maxk = lock + k = maxk call psb_bcast(ictxt,k,root=iiroot) @@ -130,13 +127,20 @@ subroutine psb_cgatherm(globx, locx, desc_a, info, iroot) call psb_errpush(info,name) goto 9999 end if + + call psb_realloc(m,k,globx,info) + if (info /= psb_success_) then + info=psb_err_alloc_dealloc_ + call psb_errpush(info,name) + goto 9999 + end if globx(:,:)=czero do j=1,k do i=1,desc_a%get_local_rows() call psb_loc_to_glob(i,idx,desc_a,info) - globx(idx,jglobx+j-1) = locx(i,jlx+j-1) + globx(idx,j) = locx(i,jlx+j-1) end do end do @@ -146,12 +150,12 @@ subroutine psb_cgatherm(globx, locx, desc_a, info, iroot) if (me /= desc_a%ovrlap_elem(i,3)) then idx = desc_a%ovrlap_elem(i,1) call psb_loc_to_glob(idx,desc_a,info) - globx(idx,jglobx+j-1) = czero + globx(idx,j) = czero end if end do end do - call psb_sum(ictxt,globx(1:m,jglobx:jglobx+k-1),root=root) + call psb_sum(ictxt,globx(1:m,1:k),root=root) call psb_erractionrestore(err_act) return @@ -223,7 +227,7 @@ subroutine psb_cgatherv(globx, locx, desc_a, info, iroot) implicit none complex(psb_spk_), intent(in) :: locx(:) - complex(psb_spk_), intent(out) :: globx(:) + complex(psb_spk_), intent(out), allocatable :: globx(:) type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info integer(psb_ipk_), intent(in), optional :: iroot @@ -268,12 +272,12 @@ subroutine psb_cgatherv(globx, locx, desc_a, info, iroot) jlocx=1 ilocx = 1 - lda_globx = size(globx) - lda_locx = size(locx) - m = desc_a%get_global_rows() n = desc_a%get_global_cols() + lda_globx = m + lda_locx = size(locx) + k = 1 @@ -295,6 +299,13 @@ subroutine psb_cgatherv(globx, locx, desc_a, info, iroot) goto 9999 end if + call psb_realloc(m,globx,info) + if (info /= psb_success_) then + info=psb_err_alloc_dealloc_ + call psb_errpush(info,name) + goto 9999 + end if + globx(:)=czero do i=1,desc_a%get_local_rows() @@ -334,7 +345,7 @@ subroutine psb_cgather_vect(globx, locx, desc_a, info, iroot) implicit none type(psb_c_vect_type), intent(inout) :: locx - complex(psb_spk_), intent(out) :: globx(:) + complex(psb_spk_), intent(out), allocatable :: globx(:) type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info integer(psb_ipk_), intent(in), optional :: iroot @@ -379,11 +390,11 @@ subroutine psb_cgather_vect(globx, locx, desc_a, info, iroot) jlocx=1 ilocx = 1 - lda_globx = size(globx) - lda_locx = locx%get_nrows() m = desc_a%get_global_rows() n = desc_a%get_global_cols() + lda_globx = m + lda_locx = locx%get_nrows() k = 1 @@ -406,6 +417,13 @@ subroutine psb_cgather_vect(globx, locx, desc_a, info, iroot) goto 9999 end if + call psb_realloc(m,globx,info) + if (info /= psb_success_) then + info=psb_err_alloc_dealloc_ + call psb_errpush(info,name) + goto 9999 + end if + globx(:) = czero llocx = locx%get_vect() diff --git a/base/comm/psb_dgather.f90 b/base/comm/psb_dgather.f90 index 8e41c7a1..dc631b9c 100644 --- a/base/comm/psb_dgather.f90 +++ b/base/comm/psb_dgather.f90 @@ -50,7 +50,7 @@ subroutine psb_dgatherm(globx, locx, desc_a, info, iroot) implicit none real(psb_dpk_), intent(in) :: locx(:,:) - real(psb_dpk_), intent(out) :: globx(:,:) + real(psb_dpk_), intent(out), allocatable :: globx(:,:) type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info integer(psb_ipk_), intent(in), optional :: iroot @@ -100,16 +100,13 @@ subroutine psb_dgatherm(globx, locx, desc_a, info, iroot) ilocx = 1 jlocx = 1 - lda_globx = size(globx,1) - lda_locx = size(locx, 1) - m = desc_a%get_global_rows() n = desc_a%get_global_cols() - - lock=size(locx,2)-jlocx+1 - globk=size(globx,2)-jglobx+1 - maxk=min(lock,globk) - k = maxk + lda_globx = m + lda_locx = size(locx, 1) + lock = size(locx,2) + maxk = lock + k = maxk call psb_bcast(ictxt,k,root=iiroot) @@ -130,13 +127,20 @@ subroutine psb_dgatherm(globx, locx, desc_a, info, iroot) call psb_errpush(info,name) goto 9999 end if + + call psb_realloc(m,k,globx,info) + if (info /= psb_success_) then + info=psb_err_alloc_dealloc_ + call psb_errpush(info,name) + goto 9999 + end if globx(:,:)=dzero do j=1,k do i=1,desc_a%get_local_rows() call psb_loc_to_glob(i,idx,desc_a,info) - globx(idx,jglobx+j-1) = locx(i,jlx+j-1) + globx(idx,j) = locx(i,jlx+j-1) end do end do @@ -146,12 +150,12 @@ subroutine psb_dgatherm(globx, locx, desc_a, info, iroot) if (me /= desc_a%ovrlap_elem(i,3)) then idx = desc_a%ovrlap_elem(i,1) call psb_loc_to_glob(idx,desc_a,info) - globx(idx,jglobx+j-1) = dzero + globx(idx,j) = dzero end if end do end do - call psb_sum(ictxt,globx(1:m,jglobx:jglobx+k-1),root=root) + call psb_sum(ictxt,globx(1:m,1:k),root=root) call psb_erractionrestore(err_act) return @@ -223,7 +227,7 @@ subroutine psb_dgatherv(globx, locx, desc_a, info, iroot) implicit none real(psb_dpk_), intent(in) :: locx(:) - real(psb_dpk_), intent(out) :: globx(:) + real(psb_dpk_), intent(out), allocatable :: globx(:) type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info integer(psb_ipk_), intent(in), optional :: iroot @@ -268,12 +272,12 @@ subroutine psb_dgatherv(globx, locx, desc_a, info, iroot) jlocx=1 ilocx = 1 - lda_globx = size(globx) - lda_locx = size(locx) - m = desc_a%get_global_rows() n = desc_a%get_global_cols() + lda_globx = m + lda_locx = size(locx) + k = 1 @@ -295,6 +299,13 @@ subroutine psb_dgatherv(globx, locx, desc_a, info, iroot) goto 9999 end if + call psb_realloc(m,globx,info) + if (info /= psb_success_) then + info=psb_err_alloc_dealloc_ + call psb_errpush(info,name) + goto 9999 + end if + globx(:)=dzero do i=1,desc_a%get_local_rows() @@ -334,7 +345,7 @@ subroutine psb_dgather_vect(globx, locx, desc_a, info, iroot) implicit none type(psb_d_vect_type), intent(inout) :: locx - real(psb_dpk_), intent(out) :: globx(:) + real(psb_dpk_), intent(out), allocatable :: globx(:) type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info integer(psb_ipk_), intent(in), optional :: iroot @@ -379,11 +390,11 @@ subroutine psb_dgather_vect(globx, locx, desc_a, info, iroot) jlocx=1 ilocx = 1 - lda_globx = size(globx) - lda_locx = locx%get_nrows() m = desc_a%get_global_rows() n = desc_a%get_global_cols() + lda_globx = m + lda_locx = locx%get_nrows() k = 1 @@ -406,6 +417,13 @@ subroutine psb_dgather_vect(globx, locx, desc_a, info, iroot) goto 9999 end if + call psb_realloc(m,globx,info) + if (info /= psb_success_) then + info=psb_err_alloc_dealloc_ + call psb_errpush(info,name) + goto 9999 + end if + globx(:) = dzero llocx = locx%get_vect() diff --git a/base/comm/psb_sgather.f90 b/base/comm/psb_sgather.f90 index cd67484b..d9f5a63f 100644 --- a/base/comm/psb_sgather.f90 +++ b/base/comm/psb_sgather.f90 @@ -50,7 +50,7 @@ subroutine psb_sgatherm(globx, locx, desc_a, info, iroot) implicit none real(psb_spk_), intent(in) :: locx(:,:) - real(psb_spk_), intent(out) :: globx(:,:) + real(psb_spk_), intent(out), allocatable :: globx(:,:) type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info integer(psb_ipk_), intent(in), optional :: iroot @@ -100,16 +100,13 @@ subroutine psb_sgatherm(globx, locx, desc_a, info, iroot) ilocx = 1 jlocx = 1 - lda_globx = size(globx,1) - lda_locx = size(locx, 1) - m = desc_a%get_global_rows() n = desc_a%get_global_cols() - - lock=size(locx,2)-jlocx+1 - globk=size(globx,2)-jglobx+1 - maxk=min(lock,globk) - k = maxk + lda_globx = m + lda_locx = size(locx, 1) + lock = size(locx,2) + maxk = lock + k = maxk call psb_bcast(ictxt,k,root=iiroot) @@ -130,13 +127,20 @@ subroutine psb_sgatherm(globx, locx, desc_a, info, iroot) call psb_errpush(info,name) goto 9999 end if + + call psb_realloc(m,k,globx,info) + if (info /= psb_success_) then + info=psb_err_alloc_dealloc_ + call psb_errpush(info,name) + goto 9999 + end if globx(:,:)=szero do j=1,k do i=1,desc_a%get_local_rows() call psb_loc_to_glob(i,idx,desc_a,info) - globx(idx,jglobx+j-1) = locx(i,jlx+j-1) + globx(idx,j) = locx(i,jlx+j-1) end do end do @@ -146,12 +150,12 @@ subroutine psb_sgatherm(globx, locx, desc_a, info, iroot) if (me /= desc_a%ovrlap_elem(i,3)) then idx = desc_a%ovrlap_elem(i,1) call psb_loc_to_glob(idx,desc_a,info) - globx(idx,jglobx+j-1) = szero + globx(idx,j) = szero end if end do end do - call psb_sum(ictxt,globx(1:m,jglobx:jglobx+k-1),root=root) + call psb_sum(ictxt,globx(1:m,1:k),root=root) call psb_erractionrestore(err_act) return @@ -223,7 +227,7 @@ subroutine psb_sgatherv(globx, locx, desc_a, info, iroot) implicit none real(psb_spk_), intent(in) :: locx(:) - real(psb_spk_), intent(out) :: globx(:) + real(psb_spk_), intent(out), allocatable :: globx(:) type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info integer(psb_ipk_), intent(in), optional :: iroot @@ -268,12 +272,12 @@ subroutine psb_sgatherv(globx, locx, desc_a, info, iroot) jlocx=1 ilocx = 1 - lda_globx = size(globx) - lda_locx = size(locx) - m = desc_a%get_global_rows() n = desc_a%get_global_cols() + lda_globx = m + lda_locx = size(locx) + k = 1 @@ -295,6 +299,13 @@ subroutine psb_sgatherv(globx, locx, desc_a, info, iroot) goto 9999 end if + call psb_realloc(m,globx,info) + if (info /= psb_success_) then + info=psb_err_alloc_dealloc_ + call psb_errpush(info,name) + goto 9999 + end if + globx(:)=szero do i=1,desc_a%get_local_rows() @@ -334,7 +345,7 @@ subroutine psb_sgather_vect(globx, locx, desc_a, info, iroot) implicit none type(psb_s_vect_type), intent(inout) :: locx - real(psb_spk_), intent(out) :: globx(:) + real(psb_spk_), intent(out), allocatable :: globx(:) type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info integer(psb_ipk_), intent(in), optional :: iroot @@ -379,11 +390,11 @@ subroutine psb_sgather_vect(globx, locx, desc_a, info, iroot) jlocx=1 ilocx = 1 - lda_globx = size(globx) - lda_locx = locx%get_nrows() m = desc_a%get_global_rows() n = desc_a%get_global_cols() + lda_globx = m + lda_locx = locx%get_nrows() k = 1 @@ -406,6 +417,13 @@ subroutine psb_sgather_vect(globx, locx, desc_a, info, iroot) goto 9999 end if + call psb_realloc(m,globx,info) + if (info /= psb_success_) then + info=psb_err_alloc_dealloc_ + call psb_errpush(info,name) + goto 9999 + end if + globx(:) = szero llocx = locx%get_vect() diff --git a/base/comm/psb_zgather.f90 b/base/comm/psb_zgather.f90 index e80d1b0a..7a3b7473 100644 --- a/base/comm/psb_zgather.f90 +++ b/base/comm/psb_zgather.f90 @@ -50,7 +50,7 @@ subroutine psb_zgatherm(globx, locx, desc_a, info, iroot) implicit none complex(psb_dpk_), intent(in) :: locx(:,:) - complex(psb_dpk_), intent(out) :: globx(:,:) + complex(psb_dpk_), intent(out), allocatable :: globx(:,:) type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info integer(psb_ipk_), intent(in), optional :: iroot @@ -100,16 +100,13 @@ subroutine psb_zgatherm(globx, locx, desc_a, info, iroot) ilocx = 1 jlocx = 1 - lda_globx = size(globx,1) - lda_locx = size(locx, 1) - m = desc_a%get_global_rows() n = desc_a%get_global_cols() - - lock=size(locx,2)-jlocx+1 - globk=size(globx,2)-jglobx+1 - maxk=min(lock,globk) - k = maxk + lda_globx = m + lda_locx = size(locx, 1) + lock = size(locx,2) + maxk = lock + k = maxk call psb_bcast(ictxt,k,root=iiroot) @@ -130,13 +127,20 @@ subroutine psb_zgatherm(globx, locx, desc_a, info, iroot) call psb_errpush(info,name) goto 9999 end if + + call psb_realloc(m,k,globx,info) + if (info /= psb_success_) then + info=psb_err_alloc_dealloc_ + call psb_errpush(info,name) + goto 9999 + end if globx(:,:)=zzero do j=1,k do i=1,desc_a%get_local_rows() call psb_loc_to_glob(i,idx,desc_a,info) - globx(idx,jglobx+j-1) = locx(i,jlx+j-1) + globx(idx,j) = locx(i,jlx+j-1) end do end do @@ -146,12 +150,12 @@ subroutine psb_zgatherm(globx, locx, desc_a, info, iroot) if (me /= desc_a%ovrlap_elem(i,3)) then idx = desc_a%ovrlap_elem(i,1) call psb_loc_to_glob(idx,desc_a,info) - globx(idx,jglobx+j-1) = zzero + globx(idx,j) = zzero end if end do end do - call psb_sum(ictxt,globx(1:m,jglobx:jglobx+k-1),root=root) + call psb_sum(ictxt,globx(1:m,1:k),root=root) call psb_erractionrestore(err_act) return @@ -223,7 +227,7 @@ subroutine psb_zgatherv(globx, locx, desc_a, info, iroot) implicit none complex(psb_dpk_), intent(in) :: locx(:) - complex(psb_dpk_), intent(out) :: globx(:) + complex(psb_dpk_), intent(out), allocatable :: globx(:) type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info integer(psb_ipk_), intent(in), optional :: iroot @@ -268,12 +272,12 @@ subroutine psb_zgatherv(globx, locx, desc_a, info, iroot) jlocx=1 ilocx = 1 - lda_globx = size(globx) - lda_locx = size(locx) - m = desc_a%get_global_rows() n = desc_a%get_global_cols() + lda_globx = m + lda_locx = size(locx) + k = 1 @@ -295,6 +299,13 @@ subroutine psb_zgatherv(globx, locx, desc_a, info, iroot) goto 9999 end if + call psb_realloc(m,globx,info) + if (info /= psb_success_) then + info=psb_err_alloc_dealloc_ + call psb_errpush(info,name) + goto 9999 + end if + globx(:)=zzero do i=1,desc_a%get_local_rows() @@ -334,7 +345,7 @@ subroutine psb_zgather_vect(globx, locx, desc_a, info, iroot) implicit none type(psb_z_vect_type), intent(inout) :: locx - complex(psb_dpk_), intent(out) :: globx(:) + complex(psb_dpk_), intent(out), allocatable :: globx(:) type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info integer(psb_ipk_), intent(in), optional :: iroot @@ -379,11 +390,11 @@ subroutine psb_zgather_vect(globx, locx, desc_a, info, iroot) jlocx=1 ilocx = 1 - lda_globx = size(globx) - lda_locx = locx%get_nrows() m = desc_a%get_global_rows() n = desc_a%get_global_cols() + lda_globx = m + lda_locx = locx%get_nrows() k = 1 @@ -406,6 +417,13 @@ subroutine psb_zgather_vect(globx, locx, desc_a, info, iroot) goto 9999 end if + call psb_realloc(m,globx,info) + if (info /= psb_success_) then + info=psb_err_alloc_dealloc_ + call psb_errpush(info,name) + goto 9999 + end if + globx(:) = zzero llocx = locx%get_vect() diff --git a/base/modules/psb_c_comm_mod.f90 b/base/modules/psb_c_comm_mod.f90 index c3cf0279..4c605b6b 100644 --- a/base/modules/psb_c_comm_mod.f90 +++ b/base/modules/psb_c_comm_mod.f90 @@ -128,7 +128,7 @@ module psb_c_comm_mod subroutine psb_cgatherm(globx, locx, desc_a, info, root) use psb_descriptor_type complex(psb_spk_), intent(in) :: locx(:,:) - complex(psb_spk_), intent(out) :: globx(:,:) + complex(psb_spk_), intent(out), allocatable :: globx(:,:) type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info integer(psb_ipk_), intent(in), optional :: root @@ -136,7 +136,7 @@ module psb_c_comm_mod subroutine psb_cgatherv(globx, locx, desc_a, info, root) use psb_descriptor_type complex(psb_spk_), intent(in) :: locx(:) - complex(psb_spk_), intent(out) :: globx(:) + complex(psb_spk_), intent(out), allocatable :: globx(:) type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info integer(psb_ipk_), intent(in), optional :: root @@ -145,7 +145,7 @@ module psb_c_comm_mod use psb_descriptor_type use psb_c_vect_mod type(psb_c_vect_type), intent(inout) :: locx - complex(psb_spk_), intent(out) :: globx(:) + complex(psb_spk_), intent(out), allocatable :: globx(:) type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info integer(psb_ipk_), intent(in), optional :: root diff --git a/base/modules/psb_d_comm_mod.f90 b/base/modules/psb_d_comm_mod.f90 index 1c0d750d..a9193db4 100644 --- a/base/modules/psb_d_comm_mod.f90 +++ b/base/modules/psb_d_comm_mod.f90 @@ -35,47 +35,47 @@ module psb_d_comm_mod subroutine psb_dovrlm(x,desc_a,info,jx,ik,work,update,mode) use psb_descriptor_type real(psb_dpk_), intent(inout), target :: 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 real(psb_dpk_), intent(inout), optional, target :: work(:) - integer(psb_ipk_), intent(in), optional :: update,jx,ik,mode + integer(psb_ipk_), intent(in), optional :: update,jx,ik,mode end subroutine psb_dovrlm subroutine psb_dovrlv(x,desc_a,info,work,update,mode) use psb_descriptor_type real(psb_dpk_), intent(inout), target :: 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 real(psb_dpk_), intent(inout), optional, target :: work(:) - integer(psb_ipk_), intent(in), optional :: update,mode + integer(psb_ipk_), intent(in), optional :: update,mode end subroutine psb_dovrlv subroutine psb_dovrl_vect(x,desc_a,info,work,update,mode) use psb_descriptor_type use psb_d_vect_mod - type(psb_d_vect_type), intent(inout) :: x + type(psb_d_vect_type), intent(inout) :: x type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info real(psb_dpk_), intent(inout), optional, target :: work(:) integer(psb_ipk_), intent(in), optional :: update,mode end subroutine psb_dovrl_vect - end interface + end interface psb_ovrl interface psb_halo subroutine psb_dhalom(x,desc_a,info,alpha,jx,ik,work,tran,mode,data) use psb_descriptor_type - real(psb_dpk_), intent(inout),target :: x(:,:) - type(psb_desc_type), intent(in) :: desc_a - integer(psb_ipk_), intent(out) :: info - real(psb_dpk_), intent(in), optional :: alpha + real(psb_dpk_), intent(inout), target :: x(:,:) + type(psb_desc_type), intent(in) :: desc_a + integer(psb_ipk_), intent(out) :: info + real(psb_dpk_), intent(in), optional :: alpha real(psb_dpk_), target, optional, intent(inout) :: work(:) integer(psb_ipk_), intent(in), optional :: mode,jx,ik,data character, intent(in), optional :: tran end subroutine psb_dhalom subroutine psb_dhalov(x,desc_a,info,alpha,work,tran,mode,data) use psb_descriptor_type - real(psb_dpk_), intent(inout) :: x(:) + real(psb_dpk_), intent(inout) :: x(:) type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info - real(psb_dpk_), intent(in), optional :: alpha + real(psb_dpk_), intent(in), optional :: alpha real(psb_dpk_), target, optional, intent(inout) :: work(:) integer(psb_ipk_), intent(in), optional :: mode,data character, intent(in), optional :: tran @@ -91,27 +91,27 @@ module psb_d_comm_mod integer(psb_ipk_), intent(in), optional :: mode,data character, intent(in), optional :: tran end subroutine psb_dhalo_vect - end interface + end interface psb_halo interface psb_scatter subroutine psb_dscatterm(globx, locx, desc_a, info, root) use psb_descriptor_type - real(psb_dpk_), intent(out) :: locx(:,:) - real(psb_dpk_), intent(in) :: globx(:,:) + real(psb_dpk_), intent(out) :: locx(:,:) + real(psb_dpk_), intent(in) :: globx(:,:) type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info integer(psb_ipk_), intent(in), optional :: root end subroutine psb_dscatterm subroutine psb_dscatterv(globx, locx, desc_a, info, root) use psb_descriptor_type - real(psb_dpk_), intent(out) :: locx(:) - real(psb_dpk_), intent(in) :: globx(:) + real(psb_dpk_), intent(out) :: locx(:) + real(psb_dpk_), intent(in) :: globx(:) type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info integer(psb_ipk_), intent(in), optional :: root end subroutine psb_dscatterv - end interface + end interface psb_scatter interface psb_gather subroutine psb_dsp_allgather(globa, loca, desc_a, info, root, dupl,keepnum,keeploc) @@ -125,31 +125,31 @@ module psb_d_comm_mod integer(psb_ipk_), intent(in), optional :: root,dupl logical, intent(in), optional :: keepnum,keeploc end subroutine psb_dsp_allgather - subroutine psb_dgatherm(globx, locx, desc_a, info, root) + subroutine psb_dgatherm(globx, locx, desc_a, info, root) use psb_descriptor_type - real(psb_dpk_), intent(in) :: locx(:,:) - real(psb_dpk_), intent(out) :: globx(:,:) - type(psb_desc_type), intent(in) :: desc_a - integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_), intent(in), optional :: root + real(psb_dpk_), intent(in) :: locx(:,:) + real(psb_dpk_), intent(out), allocatable :: globx(:,:) + type(psb_desc_type), intent(in) :: desc_a + integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), intent(in), optional :: root end subroutine psb_dgatherm subroutine psb_dgatherv(globx, locx, desc_a, info, root) use psb_descriptor_type - real(psb_dpk_), intent(in) :: locx(:) - real(psb_dpk_), intent(out) :: globx(:) - type(psb_desc_type), intent(in) :: desc_a - integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_), intent(in), optional :: root + real(psb_dpk_), intent(in) :: locx(:) + real(psb_dpk_), intent(out), allocatable :: globx(:) + type(psb_desc_type), intent(in) :: desc_a + integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), intent(in), optional :: root end subroutine psb_dgatherv subroutine psb_dgather_vect(globx, locx, desc_a, info, root) use psb_descriptor_type use psb_d_vect_mod type(psb_d_vect_type), intent(inout) :: locx - real(psb_dpk_), intent(out) :: globx(:) + real(psb_dpk_), intent(out), allocatable :: globx(:) type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info integer(psb_ipk_), intent(in), optional :: root end subroutine psb_dgather_vect - end interface - + end interface psb_gather + end module psb_d_comm_mod diff --git a/base/modules/psb_s_comm_mod.f90 b/base/modules/psb_s_comm_mod.f90 index e9f7897e..223be991 100644 --- a/base/modules/psb_s_comm_mod.f90 +++ b/base/modules/psb_s_comm_mod.f90 @@ -35,47 +35,47 @@ module psb_s_comm_mod subroutine psb_sovrlm(x,desc_a,info,jx,ik,work,update,mode) use psb_descriptor_type real(psb_spk_), intent(inout), target :: 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 real(psb_spk_), intent(inout), optional, target :: work(:) - integer(psb_ipk_), intent(in), optional :: update,jx,ik,mode + integer(psb_ipk_), intent(in), optional :: update,jx,ik,mode end subroutine psb_sovrlm subroutine psb_sovrlv(x,desc_a,info,work,update,mode) use psb_descriptor_type real(psb_spk_), intent(inout), target :: 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 real(psb_spk_), intent(inout), optional, target :: work(:) - integer(psb_ipk_), intent(in), optional :: update,mode + integer(psb_ipk_), intent(in), optional :: update,mode end subroutine psb_sovrlv subroutine psb_sovrl_vect(x,desc_a,info,work,update,mode) use psb_descriptor_type use psb_s_vect_mod - type(psb_s_vect_type), intent(inout) :: x + type(psb_s_vect_type), intent(inout) :: x type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info real(psb_spk_), intent(inout), optional, target :: work(:) integer(psb_ipk_), intent(in), optional :: update,mode end subroutine psb_sovrl_vect - end interface + end interface psb_ovrl interface psb_halo subroutine psb_shalom(x,desc_a,info,alpha,jx,ik,work,tran,mode,data) use psb_descriptor_type - real(psb_spk_), intent(inout),target :: x(:,:) - type(psb_desc_type), intent(in) :: desc_a - integer(psb_ipk_), intent(out) :: info - real(psb_spk_), intent(in), optional :: alpha + real(psb_spk_), intent(inout), target :: x(:,:) + type(psb_desc_type), intent(in) :: desc_a + integer(psb_ipk_), intent(out) :: info + real(psb_spk_), intent(in), optional :: alpha real(psb_spk_), target, optional, intent(inout) :: work(:) integer(psb_ipk_), intent(in), optional :: mode,jx,ik,data character, intent(in), optional :: tran end subroutine psb_shalom subroutine psb_shalov(x,desc_a,info,alpha,work,tran,mode,data) use psb_descriptor_type - real(psb_spk_), intent(inout) :: x(:) + real(psb_spk_), intent(inout) :: x(:) type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info - real(psb_spk_), intent(in), optional :: alpha + real(psb_spk_), intent(in), optional :: alpha real(psb_spk_), target, optional, intent(inout) :: work(:) integer(psb_ipk_), intent(in), optional :: mode,data character, intent(in), optional :: tran @@ -91,27 +91,27 @@ module psb_s_comm_mod integer(psb_ipk_), intent(in), optional :: mode,data character, intent(in), optional :: tran end subroutine psb_shalo_vect - end interface + end interface psb_halo interface psb_scatter subroutine psb_sscatterm(globx, locx, desc_a, info, root) use psb_descriptor_type - real(psb_spk_), intent(out) :: locx(:,:) - real(psb_spk_), intent(in) :: globx(:,:) + real(psb_spk_), intent(out) :: locx(:,:) + real(psb_spk_), intent(in) :: globx(:,:) type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info integer(psb_ipk_), intent(in), optional :: root end subroutine psb_sscatterm subroutine psb_sscatterv(globx, locx, desc_a, info, root) use psb_descriptor_type - real(psb_spk_), intent(out) :: locx(:) - real(psb_spk_), intent(in) :: globx(:) + real(psb_spk_), intent(out) :: locx(:) + real(psb_spk_), intent(in) :: globx(:) type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info integer(psb_ipk_), intent(in), optional :: root end subroutine psb_sscatterv - end interface + end interface psb_scatter interface psb_gather subroutine psb_ssp_allgather(globa, loca, desc_a, info, root, dupl,keepnum,keeploc) @@ -125,31 +125,31 @@ module psb_s_comm_mod integer(psb_ipk_), intent(in), optional :: root,dupl logical, intent(in), optional :: keepnum,keeploc end subroutine psb_ssp_allgather - subroutine psb_sgatherm(globx, locx, desc_a, info, root) + subroutine psb_sgatherm(globx, locx, desc_a, info, root) use psb_descriptor_type - real(psb_spk_), intent(in) :: locx(:,:) - real(psb_spk_), intent(out) :: globx(:,:) - type(psb_desc_type), intent(in) :: desc_a - integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_), intent(in), optional :: root + real(psb_spk_), intent(in) :: locx(:,:) + real(psb_spk_), intent(out), allocatable :: globx(:,:) + type(psb_desc_type), intent(in) :: desc_a + integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), intent(in), optional :: root end subroutine psb_sgatherm subroutine psb_sgatherv(globx, locx, desc_a, info, root) use psb_descriptor_type - real(psb_spk_), intent(in) :: locx(:) - real(psb_spk_), intent(out) :: globx(:) - type(psb_desc_type), intent(in) :: desc_a - integer(psb_ipk_), intent(out) :: info - integer(psb_ipk_), intent(in), optional :: root + real(psb_spk_), intent(in) :: locx(:) + real(psb_spk_), intent(out), allocatable :: globx(:) + type(psb_desc_type), intent(in) :: desc_a + integer(psb_ipk_), intent(out) :: info + integer(psb_ipk_), intent(in), optional :: root end subroutine psb_sgatherv subroutine psb_sgather_vect(globx, locx, desc_a, info, root) use psb_descriptor_type use psb_s_vect_mod type(psb_s_vect_type), intent(inout) :: locx - real(psb_spk_), intent(out) :: globx(:) + real(psb_spk_), intent(out), allocatable :: globx(:) type(psb_desc_type), intent(in) :: desc_a integer(psb_ipk_), intent(out) :: info integer(psb_ipk_), intent(in), optional :: root end subroutine psb_sgather_vect - end interface + end interface psb_gather end module psb_s_comm_mod diff --git a/base/modules/psb_z_comm_mod.f90 b/base/modules/psb_z_comm_mod.f90 index 80453a95..1d37881e 100644 --- a/base/modules/psb_z_comm_mod.f90 +++ b/base/modules/psb_z_comm_mod.f90 @@ -111,7 +111,7 @@ module psb_z_comm_mod integer(psb_ipk_), intent(out) :: info integer(psb_ipk_), intent(in), optional :: root end subroutine psb_zscatterv - end interface + end interface psb_scatter interface psb_gather subroutine psb_zsp_allgather(globa, loca, desc_a, info, root, dupl,keepnum,keeploc) @@ -125,10 +125,10 @@ module psb_z_comm_mod integer(psb_ipk_), intent(in), optional :: root,dupl logical, intent(in), optional :: keepnum,keeploc end subroutine psb_zsp_allgather - subroutine psb_zgatherm(globx, locx, desc_a, info, root) + subroutine psb_zgatherm(globx, locx, desc_a, info, root) use psb_descriptor_type complex(psb_dpk_), intent(in) :: locx(:,:) - complex(psb_dpk_), intent(out) 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zhemFP|C$WCwFM049;OI*uxKYI=OjExjrqW_X7Xn7XYY(%swc`N$O_!na<~!0rz8A8 z$T6YlKAV7LZ=<51hpx@71?LZZWmxsVMnFF~!Gmcdx8ym44O$8>1DZVytPNNtUKlFh zJZR3C!(gzNotes Legal inputs to this subroutine are interpreted depending on the $ptype$ string as follows3: diff --git a/docs/html/node117.html b/docs/html/node117.html index c6531912..cb4159af 100644 --- a/docs/html/node117.html +++ b/docs/html/node117.html @@ -72,7 +72,7 @@ err = \frac{\|r_i\|}{(\|A\|\|x_i\|+\|b\|)} < eps --> \begin{displaymath}err = \frac{\Vert r_i\Vert}{(\Vert A\Vert\Vert x_i\Vert+\Vert b\Vert)} < eps \end{displaymath} @@ -96,11 +96,11 @@ err = \frac{\|r_i\|}{\|b\|_2} < eps

according to the value passed through 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 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.
@@ -267,7 +267,7 @@ Type: optional. Intent: in.
Values: $irst>0$. This is employed for the BiCGSTABL or RGMRES methods, otherwise it is ignored. @@ -328,7 +328,7 @@ Returned as: a real number. SRC="img1.png" ALT="$A$">; only available with the $CG$ method.
diff --git a/docs/html/node119.html b/docs/html/node119.html index bfc2417a..f71b23ce 100644 --- a/docs/html/node119.html +++ b/docs/html/node119.html @@ -63,7 +63,7 @@ Mathematics Department, Macquarie University, Sydney. The command line arguments were:
latex2html -local_icons -noaddress -dir ../../html userhtml.tex

-The translation was initiated by Salvatore Filippone on 2012-03-01 +The translation was initiated by Salvatore Filippone on 2012-03-16

diff --git a/docs/html/node37.html b/docs/html/node37.html index 076c6d4c..abdc1648 100644 --- a/docs/html/node37.html +++ b/docs/html/node37.html @@ -89,13 +89,13 @@ Data types
$x$, $y$, $\alpha$,
alpha
the scalar $\alpha$.
@@ -147,7 +147,7 @@ Specified as: a number of the data type indicated in Table .
@@ -160,7 +160,7 @@ Intent: in. Specified as: a rank one or two array or an object of type vdatapsb_T_vect_type containing numbers of type specified in Table 1. The rank of $x$ must be the same of 1. The rank of $y$ must be the same of $x$.
diff --git a/docs/html/node38.html b/docs/html/node38.html index eebab146..9eef1b5e 100644 --- a/docs/html/node38.html +++ b/docs/html/node38.html @@ -57,7 +57,7 @@ psb_gedot -- Dot Product

This function computes dot product between two vectors $x$ and $y$.
If $x$ and

Else if $x$ and
$dot$, $x$,
x
the local portion of global dense matrix $x$.
@@ -178,7 +178,7 @@ Intent: in. Specified as: a rank one or two array or an object of type vdatapsb_T_vect_type containing numbers of type specified in Table 2. The rank of $x$ must be the same of 2. The rank of $y$ must be the same of $x$.
@@ -226,7 +226,7 @@ Specified as: an object of type descdatapsb_desc_type.
Function value
is the dot product of subvectors $x$ and

This subroutine computes a series of dot products among the columns of two dense matrices $x$ and

If the matrices are complex, then the usual convention applies, i.e. the conjugate transpose of $x$ is used. If $x$ and $y$ are of rank one, then $res$ is a scalar, else it is a rank one array. @@ -109,10 +109,10 @@ Data types
$res$, $x$,
x
the local portion of global dense matrix $x$.
@@ -163,7 +163,7 @@ Intent: in. Specified as: a rank one or two array or an object of type vdatapsb_T_vect_type containing numbers of type specified in Table 3. The rank of $x$ must be the same of 3. The rank of $y$ must be the same of $x$.
@@ -209,7 +209,7 @@ Specified as: an object of type descdatapsb_desc_type.
res
is the dot product of subvectors $x$ and $\cal I$, $\cal B$ and
\includegraphics[scale=0.65]{figures/points.eps} \begin{displaymath}amax \leftarrow \max_i \vert x_i\vert\end{displaymath}

else if $x$ is a complex vector then it computes the infinity-norm as:

@@ -95,7 +95,7 @@ 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} @@ -117,11 +117,11 @@ Data types
@@ -160,7 +160,7 @@ Data types
x
the local portion of global dense matrix $x$. @@ -193,7 +193,7 @@ Specified as: an object of type descdatapsb_desc_type.
Function value
is the infinity norm of subvector $x$.
diff --git a/docs/html/node41.html b/docs/html/node41.html index a29c1193..2b29f35e 100644 --- a/docs/html/node41.html +++ b/docs/html/node41.html @@ -58,7 +58,7 @@ psb_geamaxs -- Generalized Infinity Norm

This subroutine computes a series of infinity norms on the columns of a dense matrix $x$:

@@ -70,7 +70,7 @@ res(i) \leftarrow \max_k |x(k,i)| --> \begin{displaymath}res(i) \leftarrow \max_k \vert x(k,i)\vert \end{displaymath} @@ -92,11 +92,11 @@ Data types
$amax$ $x$ Function
@@ -135,7 +135,7 @@ Data types
x
the local portion of global dense matrix $x$.
@@ -165,7 +165,7 @@ Specified as: an object of type descdatapsb_desc_type.
res
is the infinity norm of the columns of $x$.
diff --git a/docs/html/node42.html b/docs/html/node42.html index 5a1095c3..dcebee84 100644 --- a/docs/html/node42.html +++ b/docs/html/node42.html @@ -57,12 +57,12 @@ psb_geasum -- 1-Norm of Vector

This function computes the 1-norm of a vector $x$.
If $x$ is a real vector it computes 1-norm as: @@ -82,7 +82,7 @@ asum \leftarrow \|x_i\|

else if $x$ is a complex vector then it computes 1-norm as:

@@ -94,7 +94,7 @@ asum \leftarrow \|re(x)\|_1 + \|im(x)\|_1 --> \begin{displaymath}asum \leftarrow \Vert re(x)\Vert _1 + \Vert im(x)\Vert _1\end{displaymath} @@ -116,11 +116,11 @@ Data types
$res$ $x$ Subroutine
@@ -159,7 +159,7 @@ Data types
x
the local portion of global dense matrix $x$. @@ -192,7 +192,7 @@ Specified as: an object of type descdatapsb_desc_type.
Function value
is the 1-norm of vector $x$.
diff --git a/docs/html/node43.html b/docs/html/node43.html index e2778665..dcba8e40 100644 --- a/docs/html/node43.html +++ b/docs/html/node43.html @@ -58,7 +58,7 @@ psb_geasums -- Generalized 1-Norm of Vector

This subroutine computes a series of 1-norms on the columns of a dense matrix $x$:

@@ -70,19 +70,19 @@ res(i) \leftarrow \max_k |x(k,i)| --> \begin{displaymath}res(i) \leftarrow \max_k \vert x(k,i)\vert \end{displaymath}

This function computes the 1-norm of a vector $x$.
If $x$ is a real vector it computes 1-norm as: @@ -95,14 +95,14 @@ res(i) \leftarrow \|x_i\| --> \begin{displaymath}res(i) \leftarrow \Vert x_i\Vert\end{displaymath}

else if $x$ is a complex vector then it computes 1-norm as:

@@ -114,7 +114,7 @@ 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} @@ -136,11 +136,11 @@ Data types
$asum$ $x$ Function
@@ -179,7 +179,7 @@ Data types
x
the local portion of global dense matrix $x$. @@ -212,7 +212,7 @@ Specified as: an object of type descdatapsb_desc_type.
res
contains the 1-norm of (the columns of) $x$.
diff --git a/docs/html/node44.html b/docs/html/node44.html index 8c035f6a..5345583a 100644 --- a/docs/html/node44.html +++ b/docs/html/node44.html @@ -57,12 +57,12 @@ psb_genrm2 -- 2-Norm of Vector

This function computes the 2-norm of a vector $x$.
If $x$ is a real vector it computes 2-norm as: @@ -82,7 +82,7 @@ nrm2 \leftarrow \sqrt{x^T x}

else if $x$ is a complex vector then it computes 2-norm as:

@@ -111,11 +111,11 @@ Data types
$res$ $x$ Subroutine
@@ -159,7 +159,7 @@ psb_genrm2(x, desc_a, info)
x
the local portion of global dense matrix $x$.
@@ -191,7 +191,7 @@ Specified as: an object of type descdatapsb_desc_type.
Function Value
is the 2-norm of subvector $x$.
diff --git a/docs/html/node45.html b/docs/html/node45.html index 7da37a3c..139a3051 100644 --- a/docs/html/node45.html +++ b/docs/html/node45.html @@ -58,7 +58,7 @@ psb_genrm2s -- Generalized 2-Norm of Vector

This subroutine computes a series of 2-norms on the columns of a dense matrix $x$:

@@ -92,11 +92,11 @@ Data types
$nrm2$ $x$ Function
@@ -135,7 +135,7 @@ Data types
x
the local portion of global dense matrix $x$. @@ -168,7 +168,7 @@ Specified as: an object of type descdatapsb_desc_type.
res
contains the 1-norm of (the columns of) $x$.
diff --git a/docs/html/node47.html b/docs/html/node47.html index b5912740..a88b340f 100644 --- a/docs/html/node47.html +++ b/docs/html/node47.html @@ -71,7 +71,7 @@ nrmi \leftarrow \|A\|_\infty --> \begin{displaymath}nrmi \leftarrow \Vert A\Vert _\infty \end{displaymath} diff --git a/docs/html/node48.html b/docs/html/node48.html index e5030e50..e2247d90 100644 --- a/docs/html/node48.html +++ b/docs/html/node48.html @@ -69,7 +69,7 @@ y \leftarrow \alpha A x + \beta y -->
$res$ $x$ Subroutine
\begin{displaymath} y \leftarrow \alpha A x + \beta y @@ -88,7 +88,7 @@ y \leftarrow \alpha A^T x + \beta y --> <TABLE WIDTH=
\begin{displaymath} y \leftarrow \alpha A^T x + \beta y @@ -121,11 +121,11 @@ y \leftarrow \alpha A^H x + \beta y where: <DL> <DT><STRONG><IMG - WIDTH=
is the global dense matrix $x_{:, :}$
@@ -134,7 +134,7 @@ where: SRC="img26.png" ALT="$y$">
is the global dense matrix $y_{:, :}$
@@ -162,13 +162,13 @@ Data types WIDTH="16" HEIGHT="14" ALIGN="BOTTOM" BORDER="0" SRC="img1.png" ALT="$A$">, $x$, $y$, $\alpha$,
alpha
the scalar $\alpha$.
@@ -243,7 +243,7 @@ Specified as: an object of type spdatapsb_Tspmat_type.
x
the local portion of global dense matrix $x$. @@ -257,7 +257,7 @@ Intent: in. Specified as: a rank one or two array or an object of type vdatapsb_T_vect_type containing numbers of type specified in Table 12. The rank of $x$ must be the same of 12. The rank of $y$ must be the same of $x$.
@@ -335,7 +335,7 @@ Type: optional Intent: in.
Default: $trans = N$
@@ -353,7 +353,7 @@ Type: optional Intent: inout.
Specified as: a rank one array of the same type of $x$ and
$x$
is the global dense matrix $x_{:, :}$
@@ -101,21 +101,21 @@ where: SRC="img26.png" ALT="$y$">
is the global dense matrix $y_{:, :}$
$T$
is the global sparse block triangular submatrix $T$
$D$
is the scaling diagonal matrix. @@ -139,19 +139,19 @@ Data types
$T$, $x$, $y$, $D$, $\alpha$,
alpha
the scalar $\alpha$.
@@ -204,7 +204,7 @@ Table 13.
t
the global portion of the sparse matrix $T$.
@@ -220,7 +220,7 @@ Specified as: an object type specified in
x
the local portion of global dense matrix $x$. @@ -234,7 +234,7 @@ Intent: in. Specified as: a rank one or two array or an object of type vdatapsb_T_vect_type containing numbers of type specified in Table 13. The rank of $x$ must be the same of 13. The rank of $y$ must be the same of $x$.
@@ -310,7 +310,7 @@ Type: optional Intent: in.
Default: $trans = N$
@@ -336,7 +336,7 @@ Type: optional Intent: in.
Default: $unitd = U$
@@ -382,7 +382,7 @@ Default: $diag(1) = 1 (no scaling)$
@@ -399,7 +399,7 @@ Type: optional Intent: inout.
Specified as: a rank one array of the same type of $x$ with the TARGET attribute. diff --git a/docs/html/node51.html b/docs/html/node51.html index 9982990c..b27d46e7 100644 --- a/docs/html/node51.html +++ b/docs/html/node51.html @@ -78,7 +78,7 @@ x \leftarrow \alpha x where:
$x$
is a global dense submatrix. @@ -95,10 +95,10 @@ Data types
@@ -141,7 +141,7 @@ call psb_halo(x, desc_a, info, alpha, work, data)
x
global dense matrix $x$.
@@ -168,7 +168,7 @@ Specified as: a structured data of type descdatapsb_desc_type.
alpha
the scalar $\alpha$.
@@ -179,7 +179,7 @@ Type: optional Intent: in.
Default: $alpha = 1 $
@@ -195,7 +195,7 @@ Type: optional Intent: inout.
Specified as: a rank one array of the same type of $x$.
@@ -217,7 +217,7 @@ index list on which to base the data exchange.
x
global dense result matrix $x$.
@@ -278,7 +278,7 @@ distribution is such that each process will own 32 entries in the index space, with a halo made of 8 entries placed at local indices 33 through 40. If process 0 assigns an initial value of 1 to its entries in the $x$ vector, and process 1 assigns a value of 2, then after a call to psb_halo the contents of the local vectors will be the diff --git a/docs/html/node52.html b/docs/html/node52.html index 96e861dd..e4a6ca71 100644 --- a/docs/html/node52.html +++ b/docs/html/node52.html @@ -77,16 +77,16 @@ x \leftarrow Q x where:
$x$
is the global dense submatrix $x$
$Q$
is the overlap operator; it is the composition of two @@ -94,7 +94,7 @@ operators $ P_a$ and $ P^{T}$.
@@ -110,7 +110,7 @@ Data types
$\alpha$, $x$ Subroutine
@@ -150,7 +150,7 @@ call psb_ovrl(x, desc_a, info, update=update_type, work=work)
x
global dense matrix $x$.
@@ -183,13 +183,13 @@ Specified as: a structured data of type descdatapsb_desc_type.
update = psb_add_
Sum overlap entries, i.e. apply $P^T$;
update = psb_avg_
Average overlap entries, i.e. apply $P_aP^T$;
@@ -220,7 +220,7 @@ Type: optional Intent: inout.
Specified as: a one dimensional array of the same type of $x$. @@ -231,7 +231,7 @@ Specified as: a one dimensional array of the same type of
x
global dense result matrix $x$.
@@ -266,11 +266,11 @@ An integer value; 0 means no error has been detected. the descriptor, no operations are performed;
  • 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 @@ -295,7 +295,7 @@ Sample discretization mesh.
    • $x$ Subroutine
    \includegraphics[scale=0.65]{figures/try8x8_ov.eps} @@ -320,7 +320,7 @@ distribution is such that each process will own 40 entries in the index space, with an overlap of 16 entries placed at local indices 25 through 40; the halo will run from local index 41 through local index 48.. If process 0 assigns an initial value of 1 to its entries in the $x$ vector, and process 1 assigns a value of 2, then after a call to psb_ovrl with psb_avg_ and a call to diff --git a/docs/html/node53.html b/docs/html/node53.html index 032704ed..b707d627 100644 --- a/docs/html/node53.html +++ b/docs/html/node53.html @@ -79,19 +79,19 @@ glob\_x \leftarrow collect(loc\_x_i) 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 @@ -101,7 +101,7 @@ process $i$.
    $collect$
    is the collect function. @@ -118,7 +118,7 @@ Data types
    @@ -162,7 +162,7 @@ call psb_gather(glob_x, loc_x, desc_a, info, root)
    loc_x
    the local portion of global dense matrix $glob\_x$.
    @@ -188,7 +188,7 @@ 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. @@ -203,10 +203,10 @@ Specified as: an integer variable $-1\le root\le np-1$, default $-1$.
    @@ -222,7 +222,7 @@ Type: required
    Intent: out.
    -Specified as: a rank one or two array. +Specified as: a rank one or two array with the ALLOCATABLE attribute.
    info
    Error code. diff --git a/docs/html/node54.html b/docs/html/node54.html index 75e22f3d..251a63f2 100644 --- a/docs/html/node54.html +++ b/docs/html/node54.html @@ -68,7 +68,7 @@ loc\_x_i \leftarrow scatter(glob\_x) --> \begin{displaymath}loc\_x_i \leftarrow scatter(glob\_x) \end{displaymath} @@ -77,19 +77,19 @@ loc\_x_i \leftarrow scatter(glob\_x) 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 @@ -99,7 +99,7 @@ process $i$.
    $scatter$
    is the scatter function. @@ -116,7 +116,7 @@ Data types
    $x_i, y$ Subroutine
    @@ -181,7 +181,7 @@ 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. @@ -196,10 +196,10 @@ Specified as: an integer variable $-1\le root\le np-1$, default $-1$.
    @@ -209,7 +209,7 @@ Specified as: an integer variable $i\in \{1\dots mg\}$ is allocated to process $vg(i)$.
    @@ -111,7 +111,7 @@ Specified as: an integer array.
    flag
    Specifies whether entries in $vg$ are zero- or one-based.
    @@ -125,7 +125,7 @@ Specified as: an integer value $0,1$, default $0$. @@ -155,7 +155,7 @@ Specified as: a subroutine.
    vl
    Data allocation: the set of global indices $vl(1:nl)$ belonging to the calling process.
    @@ -285,7 +285,7 @@ An integer value; 0 means no error has been detected. $0\le pv(i) < np$ --> $0\le pv(i) < np$; if $i\in \{1\dots mg\}$ 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 @@ -329,7 +329,7 @@ An integer value; 0 means no error has been detected.
    In this case we are specifying the list of indices 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 @@ -338,7 +338,7 @@ An integer value; 0 means no error has been detected. nl=size(vl). 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 @@ -352,7 +352,7 @@ An integer value; 0 means no error has been detected.
    If this argument is specified alone (i.e. without vl) the result is a generalized row-block distribution in which each process $I$ gets assigned a consecutive chunk of required. Intent: in.
    Specified as: an integer array of length $nz$.
    @@ -109,7 +109,7 @@ Type: required. Intent: in.
    Specified as: an integer array of length $nz$. diff --git a/docs/html/node6.html b/docs/html/node6.html index eba51fff..af78326b 100644 --- a/docs/html/node6.html +++ b/docs/html/node6.html @@ -62,7 +62,7 @@ space to which there corresponds an index space and a matrix sparsity pattern. As an example, consider a cell-centered finite-volume discretization of the Navier-Stokes equations on a simulation domain; the index space $1\dots n$ is isomorphic to the set of cell centers, whereas the pattern of the associated linear system matrix is @@ -73,7 +73,7 @@ by the discretization stencil. Thus the first order of business is to establish an index space, and this is done with a call to psb_cdall in which we specify the size of the index space $n$ and the allocation of the elements of the index space to the various processes making up the MPI (virtual) @@ -82,7 +82,7 @@ parallel machine.

    The index space is partitioned among processes, and this creates a mapping from the ``global'' numbering $1\dots n$ to a numbering ``local'' to each process; each process $1\dots n_{\hbox{row}_i}$, each element of which corresponds to a certain element of $1\dots n$. The user does not set explicitly this mapping; when the application needs to indicate to which element of the index @@ -107,7 +107,7 @@ library will translate into the appropriate ``local'' numbering.

    For a given index space $1\dots n$ there are many possible associated topologies, i.e. many different discretization stencils; thus the diff --git a/docs/html/node61.html b/docs/html/node61.html index a4be7ffa..0ad50575 100644 --- a/docs/html/node61.html +++ b/docs/html/node61.html @@ -103,7 +103,7 @@ Type:required. Intent: in.
    Specified as: an integer value $nl\ge 0$. diff --git a/docs/html/node62.html b/docs/html/node62.html index 81ce7b8c..bc52400c 100644 --- a/docs/html/node62.html +++ b/docs/html/node62.html @@ -130,7 +130,7 @@ An integer value; 0 means no error has been detected.

  • The descriptor may be in either the build or assembled state.
  • Providing a good estimate for the number of nonzeroes $nnz$ in the assembled matrix may substantially improve performance in the diff --git a/docs/html/node63.html b/docs/html/node63.html index c79f93fe..44e9751b 100644 --- a/docs/html/node63.html +++ b/docs/html/node63.html @@ -90,7 +90,7 @@ Type:required. Intent: in.
    Specified as: an integer array of size $nz$. @@ -104,7 +104,7 @@ Type:required. Intent: in.
    Specified as: an integer array of size $nz$. @@ -118,11 +118,11 @@ Type:required. Intent: in.
    Specified as: an array of size $nz$. Must be of the same type and kind of the aspk component of the sparse matrix $a$. diff --git a/docs/html/node67.html b/docs/html/node67.html index 9b038a3d..ea1e3e4d 100644 --- a/docs/html/node67.html +++ b/docs/html/node67.html @@ -92,7 +92,7 @@ Specified as: Integer scalar, default $1$. It is not a valid argument if $x$ is a rank-1 array. @@ -110,7 +110,7 @@ Specified as: Integer scalar, default $1$. It is not a valid argument if $x$ is a rank-1 array. diff --git a/docs/html/node68.html b/docs/html/node68.html index 3d97c325..9907cf55 100644 --- a/docs/html/node68.html +++ b/docs/html/node68.html @@ -70,7 +70,7 @@ call psb_geins(m, irw, val, x, desc_a, info,dupl)
    m
    Number of rows in $val$ to be inserted.
    @@ -88,11 +88,11 @@ Specified as: an integer value. SRC="img4.png" ALT="$i$"> of $val$ will be inserted into the local row corresponding to the global row index $irw(i)$. Scope:local. diff --git a/docs/html/node69.html b/docs/html/node69.html index ea94b150..0007bf4e 100644 --- a/docs/html/node69.html +++ b/docs/html/node69.html @@ -90,7 +90,7 @@ Intent: in.
    Specified as: an object of a class derived from vbasedatapsb_T_base_vect_type; this is only allowed when $x$ is of type vdatapsb_T_vect_type.
    diff --git a/docs/html/node72.html b/docs/html/node72.html index 3f9826ce..13e6dc5d 100644 --- a/docs/html/node72.html +++ b/docs/html/node72.html @@ -128,7 +128,7 @@ accepted. Default: false. SRC="img26.png" ALT="$y$"> is not present, then $x$ is overwritten with the translated integer indices. Scope: global @@ -148,7 +148,7 @@ Specified as: a rank one integer array. WIDTH="12" HEIGHT="30" ALIGN="MIDDLE" BORDER="0" SRC="img26.png" ALT="$y$"> is overwritten with the translated integer indices, and $x$ is left unchanged. diff --git a/docs/html/node73.html b/docs/html/node73.html index 35b0ce6e..40f0ad5f 100644 --- a/docs/html/node73.html +++ b/docs/html/node73.html @@ -116,7 +116,7 @@ Specified as: a character variable Ignore, Warning or SRC="img26.png" ALT="$y$"> is not present, then $x$ is overwritten with the translated integer indices. Scope: global @@ -136,7 +136,7 @@ Specified as: a rank one integer array. WIDTH="12" HEIGHT="30" ALIGN="MIDDLE" BORDER="0" SRC="img26.png" ALT="$y$"> is overwritten with the translated integer indices, and $x$ is left unchanged. diff --git a/docs/html/node74.html b/docs/html/node74.html index eba71b11..d25641fd 100644 --- a/docs/html/node74.html +++ b/docs/html/node74.html @@ -100,7 +100,7 @@ Specified as: a structured data of type descdatapsb_desc_type.
    Function value
    A logical mask which is true if $x$ is owned by the current process Scope: local diff --git a/docs/html/node75.html b/docs/html/node75.html index b36d152f..16e56ca5 100644 --- a/docs/html/node75.html +++ b/docs/html/node75.html @@ -111,7 +111,7 @@ Specified as: a character variable Ignore, Warning or
    y
    A logical mask which is true for all corresponding entries of $x$ that are owned by the current process Scope: local diff --git a/docs/html/node76.html b/docs/html/node76.html index 1920a1a3..e27dc8cc 100644 --- a/docs/html/node76.html +++ b/docs/html/node76.html @@ -100,7 +100,7 @@ Specified as: a structured data of type descdatapsb_desc_type.
    Function value
    A logical mask which is true if $x$ is local to the current process Scope: local diff --git a/docs/html/node77.html b/docs/html/node77.html index 71a6ab70..65d02b3c 100644 --- a/docs/html/node77.html +++ b/docs/html/node77.html @@ -111,7 +111,7 @@ Specified as: a character variable Ignore, Warning or
    y
    A logical mask which is true for all corresponding entries of $x$ that are local to the current process Scope: local diff --git a/docs/html/node80.html b/docs/html/node80.html index a598ead8..d70784af 100644 --- a/docs/html/node80.html +++ b/docs/html/node80.html @@ -79,7 +79,7 @@ Type:required Intent: in.
    Specified as: an integer $>0$.
    @@ -115,7 +115,7 @@ Type:optional Intent: in.
    Specified as: an integer $>0$. When append is true, specifies how many entries in the output vectors are already filled. @@ -130,10 +130,10 @@ Type:optional Intent: in.
    Specified as: an integer $>0$, default: $row$. @@ -208,12 +208,12 @@ 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; diff --git a/docs/html/node82.html b/docs/html/node82.html index 62609160..c1d76ee5 100644 --- a/docs/html/node82.html +++ b/docs/html/node82.html @@ -72,7 +72,7 @@ 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 @@ -98,7 +98,7 @@ Specified as: an integer, real or complex array of rank 1. Type:optional.
      Specified as: an integer array of (at least) the same size as $X$. @@ -122,7 +122,7 @@ default psb_lsort_up_.

      flag
      Whether to keep the original values in $IX$.
      @@ -154,7 +154,7 @@ Type: Optional
      An integer array of rank 1, whose entries are moved to the same position as the corresponding entries in $x$.
      @@ -184,24 +184,24 @@ position as the corresponding entries in $flag = psb\_sort\_ovw\_idx\_$ then the entries in $ix(1:n)$ where $n$ is the size of $x$ are initialized to $ix(i) \leftarrow i$; thus, upon return from the subroutine, for each @@ -209,7 +209,7 @@ i$">; thus, upon return from the subroutine, for each WIDTH="9" HEIGHT="17" ALIGN="BOTTOM" BORDER="0" SRC="img4.png" ALT="$i$"> we have in $ix(i)$ the position that the item ; thus, upon return from the subroutine, for each $flag = psb\_sort\_keep\_idx\_$ --> $flag = psb\_sort\_keep\_idx\_$ the routine will assume that the entries in $ix(:)$ have already been initialized by the user;
      2. @@ -238,7 +238,7 @@ 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, diff --git a/docs/html/node84.html b/docs/html/node84.html index 8a894345..9d26d790 100644 --- a/docs/html/node84.html +++ b/docs/html/node84.html @@ -106,7 +106,7 @@ Type: optional. Intent: in.
        Specified as: an integer array. Default: use the indices $(0\dots np-1)$. @@ -140,7 +140,7 @@ Specified as: an integer variable.
      2. A call to this routine must precede any other PSBLAS call.
      3. It is an error to specify a value for $np$ greater than the number of processes available in the underlying base parallel diff --git a/docs/html/node85.html b/docs/html/node85.html index ccb52670..c017ea99 100644 --- a/docs/html/node85.html +++ b/docs/html/node85.html @@ -103,7 +103,7 @@ Specified as: an integer value. $-1 \le iam \le np-1$
        np
        @@ -127,14 +127,14 @@ Specified as: an integer variable. $0 \le iam \le np-1$ --> $0 \le iam \le np-1$;
      4. 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 diff --git a/docs/html/node86.html b/docs/html/node86.html index f91933fa..071d7e8c 100644 --- a/docs/html/node86.html +++ b/docs/html/node86.html @@ -102,7 +102,7 @@ Specified as: a logical variable, default value: true.
        1. 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 diff --git a/docs/html/node88.html b/docs/html/node88.html index 541a72c7..f7fb114b 100644 --- a/docs/html/node88.html +++ b/docs/html/node88.html @@ -62,7 +62,7 @@ call psb_get_rank(rank, icontxt, id)

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

          @@ -97,7 +97,7 @@ Specified as: an integer value. $0 \le id \le np-1$
          @@ -109,7 +109,7 @@ Specified as: an integer value. $0<= root <= np-1$, default 0 diff --git a/docs/html/node93.html b/docs/html/node93.html index 14fb5a6c..7bf272fb 100644 --- a/docs/html/node93.html +++ b/docs/html/node93.html @@ -96,7 +96,7 @@ 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. @@ -111,7 +111,7 @@ Specified as: an integer value $-1<= root <= np-1$, default -1.
          diff --git a/docs/html/node94.html b/docs/html/node94.html index ceb94ddb..5d7fd1a5 100644 --- a/docs/html/node94.html +++ b/docs/html/node94.html @@ -96,7 +96,7 @@ 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. @@ -111,7 +111,7 @@ Specified as: an integer value $-1<= root <= np-1$, default -1.
          diff --git a/docs/html/node95.html b/docs/html/node95.html index c47442c5..1100582a 100644 --- a/docs/html/node95.html +++ b/docs/html/node95.html @@ -96,7 +96,7 @@ 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. @@ -111,7 +111,7 @@ Specified as: an integer value $-1<= root <= np-1$, default -1.
          diff --git a/docs/html/node96.html b/docs/html/node96.html index 0e499511..a8cc2dc9 100644 --- a/docs/html/node96.html +++ b/docs/html/node96.html @@ -96,7 +96,7 @@ 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. @@ -111,7 +111,7 @@ Specified as: an integer value $-1<= root <= np-1$, default -1.
          diff --git a/docs/html/node97.html b/docs/html/node97.html index 49aed441..c87cfbf5 100644 --- a/docs/html/node97.html +++ b/docs/html/node97.html @@ -96,7 +96,7 @@ 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. @@ -111,7 +111,7 @@ Specified as: an integer value $-1<= root <= np-1$, default -1.
          diff --git a/docs/html/node98.html b/docs/html/node98.html index 3d3f3021..4fe488b6 100644 --- a/docs/html/node98.html +++ b/docs/html/node98.html @@ -92,7 +92,7 @@ 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. @@ -110,7 +110,7 @@ Specified as: an integer value $0<= dst <= np-1$.
          @@ -127,16 +127,16 @@ 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. @@ -156,7 +156,7 @@ same value on sending and receiving processes.
          1. This subroutine implies a synchronization, but only between the calling process and the destination process $dst$.
            2. diff --git a/docs/html/node99.html b/docs/html/node99.html index 65072b55..0c466ac1 100644 --- a/docs/html/node99.html +++ b/docs/html/node99.html @@ -93,7 +93,7 @@ Specified as: an integer value $0<= src <= np-1$.
            @@ -110,16 +110,16 @@ 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. @@ -142,7 +142,7 @@ 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. @@ -155,7 +155,7 @@ not specified, size must agree as well.
            1. This subroutine implies a synchronization, but only between the calling process and the source process $src$.
              2. diff --git a/docs/psblas-3.0.pdf b/docs/psblas-3.0.pdf index 7129628a..1e16c6a0 100644 --- a/docs/psblas-3.0.pdf +++ b/docs/psblas-3.0.pdf @@ -11043,7 +11043,7 @@ endobj /ProcSet [ /PDF /Text ] >> endobj 1061 0 obj << -/Length 1355 +/Length 1455 >> stream 0 g 0 G @@ -11059,9 +11059,9 @@ Q BT /F27 9.9626 Tf 125.024 706.129 Td [(x)]TJ 0 g 0 G -/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)84(.)]TJ +/F8 9.9626 Tf 11.028 0 Td 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Scope: {\bf global} \\ Type: {\bf required}\\ Intent: {\bf out}.\\ -Specified as: a rank one or two array. +Specified as: a rank one or two array with the \verb|ALLOCATABLE| attribute. \item[info] Error code.\\ Scope: {\bf local} \\ Type: {\bf required} \\
    • $x_i, y$ Subroutine