From b0e6f32827a747a11ec187acbb788c7123010013 Mon Sep 17 00:00:00 2001 From: Salvatore Filippone Date: Sat, 11 Feb 2012 11:57:43 +0000 Subject: [PATCH] psblas3: base/modules/Makefile base/modules/psb_gen_block_map_mod.f90 base/modules/psb_hash_map_mod.f90 docs/html/footnode.html docs/html/img1.png docs/html/img10.png docs/html/img100.png docs/html/img101.png docs/html/img102.png docs/html/img103.png docs/html/img104.png docs/html/img105.png docs/html/img106.png docs/html/img107.png docs/html/img108.png docs/html/img109.png docs/html/img11.png docs/html/img110.png docs/html/img111.png docs/html/img112.png docs/html/img113.png docs/html/img114.png docs/html/img115.png docs/html/img116.png docs/html/img117.png docs/html/img118.png docs/html/img119.png docs/html/img12.png docs/html/img120.png docs/html/img121.png docs/html/img122.png docs/html/img123.png docs/html/img124.png docs/html/img125.png docs/html/img126.png docs/html/img127.png docs/html/img128.png docs/html/img129.png 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docs/src/biblio.tex docs/src/datastruct.tex docs/src/intro.tex test/fileread/df_sample.f90 test/fileread/runs/dfs.inp test/pargen/ppde.f90 test/pargen/spde.f90 1. Worked on documentation. 2. Fixed performance problem with gen_block_map: changed to use a hash internally. 3. Changed ppde to implement a convection-diffusion problem with centered differences. --- base/modules/Makefile | 1 + base/modules/psb_gen_block_map_mod.f90 | 69 +- base/modules/psb_hash_map_mod.f90 | 1930 ++-- docs/html/footnode.html | 10 +- docs/html/img1.png | Bin 210 -> 200 bytes docs/html/img10.png | Bin 446 -> 401 bytes docs/html/img100.png | Bin 233 -> 260 bytes docs/html/img101.png | Bin 358 -> 188 bytes docs/html/img102.png | Bin 277 -> 143 bytes docs/html/img103.png | Bin 200 -> 257 bytes docs/html/img104.png | Bin 150 -> 379 bytes docs/html/img105.png | Bin 273 -> 263 bytes docs/html/img106.png | Bin 390 -> 249 bytes docs/html/img107.png | Bin 266 -> 264 bytes docs/html/img108.png | Bin 273 -> 399 bytes docs/html/img109.png | Bin 284 -> 208 bytes docs/html/img11.png | Bin 562 -> 529 bytes docs/html/img110.png | Bin 419 -> 260 bytes docs/html/img111.png | Bin 222 -> 793 bytes docs/html/img112.png | Bin 258 -> 406 bytes docs/html/img113.png | Bin 868 -> 426 bytes 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psb_hash_mod.o psb_sort_mod.o psb_hash_mod.o: psb_realloc_mod.o psb_const_mod.o +psb_gen_block_map_mod.o: psb_hash_mod.o psb_linmap_mod.o: psb_s_linmap_mod.o psb_d_linmap_mod.o psb_c_linmap_mod.o psb_z_linmap_mod.o psb_s_linmap_mod.o: psb_base_linmap_mod.o psb_s_mat_mod.o psb_s_vect_mod.o psb_d_linmap_mod.o: psb_base_linmap_mod.o psb_d_mat_mod.o psb_d_vect_mod.o diff --git a/base/modules/psb_gen_block_map_mod.f90 b/base/modules/psb_gen_block_map_mod.f90 index bfb95dfc..6b5afd8d 100644 --- a/base/modules/psb_gen_block_map_mod.f90 +++ b/base/modules/psb_gen_block_map_mod.f90 @@ -49,11 +49,13 @@ module psb_gen_block_map_mod use psb_const_mod use psb_desc_const_mod use psb_indx_map_mod + use psb_hash_mod type, extends(psb_indx_map) :: psb_gen_block_map integer(psb_ipk_) :: min_glob_row = -1 integer(psb_ipk_) :: max_glob_row = -1 integer(psb_ipk_), allocatable :: loc_to_glob(:), srt_l2g(:,:), vnl(:) + type(psb_hash_type) :: hash contains procedure, pass(idxmap) :: gen_block_map_init => block_init @@ -106,14 +108,14 @@ contains & val = val + size(idxmap%srt_l2g)*psb_sizeof_int if (allocated(idxmap%vnl)) & & val = val + size(idxmap%vnl)*psb_sizeof_int - + val = val + psb_sizeof(idxmap%hash) end function block_sizeof subroutine block_free(idxmap) implicit none class(psb_gen_block_map), intent(inout) :: idxmap - + integer(psb_ipk_) :: info if (allocated(idxmap%loc_to_glob)) & & deallocate(idxmap%loc_to_glob) if (allocated(idxmap%srt_l2g)) & @@ -121,7 +123,7 @@ contains if (allocated(idxmap%srt_l2g)) & & deallocate(idxmap%vnl) - + call psb_free(idxmap%hash,info) call idxmap%psb_indx_map%free() end subroutine block_free @@ -283,7 +285,7 @@ contains integer(psb_ipk_), intent(out) :: info logical, intent(in), optional :: mask(:) logical, intent(in), optional :: owned - integer(psb_ipk_) :: i, nv, is + integer(psb_ipk_) :: i, nv, is, ip, lip integer(psb_ipk_) :: ictxt, iam, np logical :: owned_ @@ -329,9 +331,9 @@ contains idx(i) = idx(i) - idxmap%min_glob_row + 1 else if ((1<= idx(i)).and.(idx(i) <= idxmap%global_rows)& &.and.(.not.owned_)) then - nv = idxmap%local_cols-idxmap%local_rows - idx(i) = psb_issrch(idx(i),nv,idxmap%loc_to_glob) - if (idx(i) > 0) idx(i) = idx(i) + idxmap%local_rows + ip = idx(i) + call psb_hash_searchkey(ip,lip,idxmap%hash,info) + if (lip > 0) idx(i) = lip + idxmap%local_rows else idx(i) = -1 end if @@ -365,9 +367,9 @@ contains idx(i) = idx(i) - idxmap%min_glob_row + 1 else if ((1<= idx(i)).and.(idx(i) <= idxmap%global_rows)& &.and.(.not.owned_)) then - nv = idxmap%local_cols-idxmap%local_rows - idx(i) = psb_issrch(idx(i),nv,idxmap%loc_to_glob) - if (idx(i) > 0) idx(i) = idx(i) + idxmap%local_rows + ip = idx(i) + call psb_hash_searchkey(ip,lip,idxmap%hash,info) + if (lip > 0) idx(i) = lip + idxmap%local_rows else idx(i) = -1 end if @@ -447,6 +449,8 @@ contains integer(psb_ipk_), intent(out) :: info logical, intent(in), optional :: mask(:) integer(psb_ipk_) :: i, nv, is, ix + integer(psb_ipk_) :: ip, lip, nxt + info = 0 is = size(idx) @@ -473,20 +477,21 @@ contains idx(i) = idx(i) - idxmap%min_glob_row + 1 else if ((1<= idx(i)).and.(idx(i) <= idxmap%global_rows)) then nv = idxmap%local_cols-idxmap%local_rows - ix = psb_issrch(idx(i),nv,idxmap%loc_to_glob) - if (ix < 0) then - ix = idxmap%local_cols + 1 - call psb_ensure_size(ix,idxmap%loc_to_glob,info,addsz=500) + nxt = nv + 1 + ip = idx(i) + call psb_hash_searchinskey(ip,lip,nxt,idxmap%hash,info) + + if (lip == nxt) then + ! We have added one item + call psb_ensure_size(nxt,idxmap%loc_to_glob,info,addsz=500) if (info /= 0) then info = -4 return end if - idxmap%local_cols = ix - ix = ix - idxmap%local_rows - idxmap%loc_to_glob(ix) = idx(i) + idxmap%local_cols = nxt + idxmap%local_rows + idxmap%loc_to_glob(nxt) = idx(i) end if - ix = ix + idxmap%local_rows - idx(i) = ix + idx(i) = lip + idxmap%local_rows else idx(i) = -1 info = -1 @@ -502,20 +507,21 @@ contains idx(i) = idx(i) - idxmap%min_glob_row + 1 else if ((1<= idx(i)).and.(idx(i) <= idxmap%global_rows)) then nv = idxmap%local_cols-idxmap%local_rows - ix = psb_issrch(idx(i),nv,idxmap%loc_to_glob) - if (ix < 0) then - ix = idxmap%local_cols + 1 - call psb_ensure_size(ix,idxmap%loc_to_glob,info,addsz=500) + nxt = nv + 1 + ip = idx(i) + call psb_hash_searchinskey(ip,lip,nxt,idxmap%hash,info) + + if (lip == nxt) then + ! We have added one item + call psb_ensure_size(nxt,idxmap%loc_to_glob,info,addsz=500) if (info /= 0) then info = -4 return end if - idxmap%local_cols = ix - ix = ix - idxmap%local_rows - idxmap%loc_to_glob(ix) = idx(i) + idxmap%local_cols = nxt + idxmap%local_rows + idxmap%loc_to_glob(nxt) = idx(i) end if - ix = ix + idxmap%local_rows - idx(i) = ix + idx(i) = lip + idxmap%local_rows else idx(i) = -1 info = -1 @@ -629,9 +635,9 @@ contains info = -2 return end if + call psb_hash_init(nl,idxmap%hash,info) call idxmap%set_state(psb_desc_bld_) - end subroutine block_init @@ -659,8 +665,8 @@ contains call psb_msort(idxmap%srt_l2g(:,1),& & ix=idxmap%srt_l2g(:,2),dir=psb_sort_up_) + call psb_free(idxmap%hash,info) call idxmap%set_state(psb_desc_asb_) - end subroutine block_asb function block_get_fmt() result(res) @@ -710,6 +716,9 @@ contains & call psb_safe_ab_cpy(idxmap%vnl,outmap%vnl,info) if (info == psb_success_)& & call psb_safe_ab_cpy(idxmap%srt_l2g,outmap%srt_l2g,info) + if (info == psb_success_)& + & call psb_hash_copy(idxmap%hash,outmap%hash,info) + class default ! This should be impossible info = -1 diff --git a/base/modules/psb_hash_map_mod.f90 b/base/modules/psb_hash_map_mod.f90 index 03ced807..1c4c7f13 100644 --- a/base/modules/psb_hash_map_mod.f90 +++ b/base/modules/psb_hash_map_mod.f90 @@ -57,166 +57,178 @@ module psb_hash_map_mod use psb_desc_const_mod use psb_indx_map_mod use psb_hash_mod - + type, extends(psb_indx_map) :: psb_hash_map - integer(psb_ipk_) :: hashvsize, hashvmask - integer(psb_ipk_), allocatable :: hashv(:), glb_lc(:,:), loc_to_glob(:) - type(psb_hash_type), allocatable :: hash + integer(psb_ipk_) :: hashvsize, hashvmask + integer(psb_ipk_), allocatable :: hashv(:), glb_lc(:,:), loc_to_glob(:) + type(psb_hash_type) :: hash -contains + contains - procedure, pass(idxmap) :: init_vl => hash_init_vl - procedure, pass(idxmap) :: hash_map_init => hash_init_vg + procedure, pass(idxmap) :: init_vl => hash_init_vl + procedure, pass(idxmap) :: hash_map_init => hash_init_vg - procedure, pass(idxmap) :: sizeof => hash_sizeof - procedure, pass(idxmap) :: asb => hash_asb - procedure, pass(idxmap) :: free => hash_free - procedure, pass(idxmap) :: clone => hash_clone - procedure, nopass :: get_fmt => hash_get_fmt + procedure, pass(idxmap) :: sizeof => hash_sizeof + procedure, pass(idxmap) :: asb => hash_asb + procedure, pass(idxmap) :: free => hash_free + procedure, pass(idxmap) :: clone => hash_clone + procedure, nopass :: get_fmt => hash_get_fmt - procedure, nopass :: row_extendable => hash_row_extendable + procedure, nopass :: row_extendable => hash_row_extendable - procedure, pass(idxmap) :: l2gs1 => hash_l2gs1 - procedure, pass(idxmap) :: l2gs2 => hash_l2gs2 - procedure, pass(idxmap) :: l2gv1 => hash_l2gv1 - procedure, pass(idxmap) :: l2gv2 => hash_l2gv2 + procedure, pass(idxmap) :: l2gs1 => hash_l2gs1 + procedure, pass(idxmap) :: l2gs2 => hash_l2gs2 + procedure, pass(idxmap) :: l2gv1 => hash_l2gv1 + procedure, pass(idxmap) :: l2gv2 => hash_l2gv2 - procedure, pass(idxmap) :: g2ls1 => hash_g2ls1 - procedure, pass(idxmap) :: g2ls2 => hash_g2ls2 - procedure, pass(idxmap) :: g2lv1 => hash_g2lv1 - procedure, pass(idxmap) :: g2lv2 => hash_g2lv2 + procedure, pass(idxmap) :: g2ls1 => hash_g2ls1 + procedure, pass(idxmap) :: g2ls2 => hash_g2ls2 + procedure, pass(idxmap) :: g2lv1 => hash_g2lv1 + procedure, pass(idxmap) :: g2lv2 => hash_g2lv2 - procedure, pass(idxmap) :: g2ls1_ins => hash_g2ls1_ins - procedure, pass(idxmap) :: g2ls2_ins => hash_g2ls2_ins - procedure, pass(idxmap) :: g2lv1_ins => hash_g2lv1_ins - procedure, pass(idxmap) :: g2lv2_ins => hash_g2lv2_ins + procedure, pass(idxmap) :: g2ls1_ins => hash_g2ls1_ins + procedure, pass(idxmap) :: g2ls2_ins => hash_g2ls2_ins + procedure, pass(idxmap) :: g2lv1_ins => hash_g2lv1_ins + procedure, pass(idxmap) :: g2lv2_ins => hash_g2lv2_ins - procedure, pass(idxmap) :: bld_g2l_map => hash_bld_g2l_map + procedure, pass(idxmap) :: hash_cpy + generic, public :: assignment(=) => hash_cpy + procedure, pass(idxmap) :: bld_g2l_map => hash_bld_g2l_map -end type psb_hash_map + end type psb_hash_map -private :: hash_init_vl, hash_init_vg, hash_sizeof, hash_asb, & - & hash_free, hash_get_fmt, hash_l2gs1, hash_l2gs2, & - & hash_l2gv1, hash_l2gv2, hash_g2ls1, hash_g2ls2, & - & hash_g2lv1, hash_g2lv2, hash_g2ls1_ins, hash_g2ls2_ins, & - & hash_g2lv1_ins, hash_g2lv2_ins, hash_init_vlu, & - & hash_bld_g2l_map, hash_inner_cnvs1, hash_inner_cnvs2,& - & hash_inner_cnv1, hash_inner_cnv2, hash_row_extendable + private :: hash_init_vl, hash_init_vg, hash_sizeof, hash_asb, & + & hash_free, hash_get_fmt, hash_l2gs1, hash_l2gs2, & + & hash_l2gv1, hash_l2gv2, hash_g2ls1, hash_g2ls2, & + & hash_g2lv1, hash_g2lv2, hash_g2ls1_ins, hash_g2ls2_ins, & + & hash_g2lv1_ins, hash_g2lv2_ins, hash_init_vlu, & + & hash_bld_g2l_map, hash_inner_cnvs1, hash_inner_cnvs2,& + & hash_inner_cnv1, hash_inner_cnv2, hash_row_extendable -interface hash_inner_cnv - module procedure hash_inner_cnvs1, hash_inner_cnvs2,& - & hash_inner_cnv1, hash_inner_cnv2 -end interface hash_inner_cnv -private :: hash_inner_cnv + interface hash_inner_cnv + module procedure hash_inner_cnvs1, hash_inner_cnvs2,& + & hash_inner_cnv1, hash_inner_cnv2 + end interface hash_inner_cnv + private :: hash_inner_cnv contains -function hash_row_extendable() result(val) - implicit none - logical :: val - val = .true. -end function hash_row_extendable + function hash_row_extendable() result(val) + implicit none + logical :: val + val = .true. + end function hash_row_extendable -function hash_sizeof(idxmap) result(val) - implicit none - class(psb_hash_map), intent(in) :: idxmap - integer(psb_long_int_k_) :: val + function hash_sizeof(idxmap) result(val) + implicit none + class(psb_hash_map), intent(in) :: idxmap + integer(psb_long_int_k_) :: val - val = idxmap%psb_indx_map%sizeof() - val = val + 2 * psb_sizeof_int - if (allocated(idxmap%hashv)) & - & val = val + size(idxmap%hashv)*psb_sizeof_int - if (allocated(idxmap%glb_lc)) & - & val = val + size(idxmap%glb_lc)*psb_sizeof_int - if (allocated(idxmap%hash)) & - & val = val + psb_sizeof(idxmap%hash) + val = idxmap%psb_indx_map%sizeof() + val = val + 2 * psb_sizeof_int + if (allocated(idxmap%hashv)) & + & val = val + size(idxmap%hashv)*psb_sizeof_int + if (allocated(idxmap%glb_lc)) & + & val = val + size(idxmap%glb_lc)*psb_sizeof_int + val = val + psb_sizeof(idxmap%hash) -end function hash_sizeof + end function hash_sizeof -subroutine hash_free(idxmap) - implicit none - class(psb_hash_map), intent(inout) :: idxmap - integer(psb_ipk_) :: info + subroutine hash_free(idxmap) + implicit none + class(psb_hash_map), intent(inout) :: idxmap + integer(psb_ipk_) :: info - if (allocated(idxmap%hashv)) & - & deallocate(idxmap%hashv) - if (allocated(idxmap%glb_lc)) & - & deallocate(idxmap%glb_lc) + if (allocated(idxmap%hashv)) & + & deallocate(idxmap%hashv) + if (allocated(idxmap%glb_lc)) & + & deallocate(idxmap%glb_lc) - if (allocated(idxmap%hash)) then call psb_free(idxmap%hash,info) - deallocate(idxmap%hash) - end if - - call idxmap%psb_indx_map%free() - -end subroutine hash_free - - -subroutine hash_l2gs1(idx,idxmap,info,mask,owned) - implicit none - class(psb_hash_map), intent(in) :: idxmap - integer(psb_ipk_), intent(inout) :: idx - integer(psb_ipk_), intent(out) :: info - logical, intent(in), optional :: mask - logical, intent(in), optional :: owned - integer(psb_ipk_) :: idxv(1) - info = 0 - if (present(mask)) then - if (.not.mask) return - end if - - idxv(1) = idx - call idxmap%l2g(idxv,info,owned=owned) - idx = idxv(1) - -end subroutine hash_l2gs1 - -subroutine hash_l2gs2(idxin,idxout,idxmap,info,mask,owned) - implicit none - class(psb_hash_map), intent(in) :: idxmap - integer(psb_ipk_), intent(in) :: idxin - integer(psb_ipk_), intent(out) :: idxout - integer(psb_ipk_), intent(out) :: info - logical, intent(in), optional :: mask - logical, intent(in), optional :: owned - - idxout = idxin - call idxmap%l2g(idxout,info,mask,owned) - -end subroutine hash_l2gs2 - - -subroutine hash_l2gv1(idx,idxmap,info,mask,owned) - implicit none - class(psb_hash_map), intent(in) :: idxmap - integer(psb_ipk_), intent(inout) :: idx(:) - integer(psb_ipk_), intent(out) :: info - logical, intent(in), optional :: mask(:) - logical, intent(in), optional :: owned - integer(psb_ipk_) :: i - logical :: owned_ - info = 0 - - if (present(mask)) then - if (size(mask) < size(idx)) then - info = -1 - return + + call idxmap%psb_indx_map%free() + + end subroutine hash_free + + + subroutine hash_l2gs1(idx,idxmap,info,mask,owned) + implicit none + class(psb_hash_map), intent(in) :: idxmap + integer(psb_ipk_), intent(inout) :: idx + integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: mask + logical, intent(in), optional :: owned + integer(psb_ipk_) :: idxv(1) + info = 0 + if (present(mask)) then + if (.not.mask) return + end if + + idxv(1) = idx + call idxmap%l2g(idxv,info,owned=owned) + idx = idxv(1) + + end subroutine hash_l2gs1 + + subroutine hash_l2gs2(idxin,idxout,idxmap,info,mask,owned) + implicit none + class(psb_hash_map), intent(in) :: idxmap + integer(psb_ipk_), intent(in) :: idxin + integer(psb_ipk_), intent(out) :: idxout + integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: mask + logical, intent(in), optional :: owned + + idxout = idxin + call idxmap%l2g(idxout,info,mask,owned) + + end subroutine hash_l2gs2 + + + subroutine hash_l2gv1(idx,idxmap,info,mask,owned) + implicit none + class(psb_hash_map), intent(in) :: idxmap + integer(psb_ipk_), intent(inout) :: idx(:) + integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: mask(:) + logical, intent(in), optional :: owned + integer(psb_ipk_) :: i + logical :: owned_ + info = 0 + + if (present(mask)) then + if (size(mask) < size(idx)) then + info = -1 + return + end if + end if + if (present(owned)) then + owned_ = owned + else + owned_ = .false. end if - end if - if (present(owned)) then - owned_ = owned - else - owned_ = .false. - end if - if (present(mask)) then + if (present(mask)) then - do i=1, size(idx) - if (mask(i)) then + do i=1, size(idx) + if (mask(i)) then + if ((1<=idx(i)).and.(idx(i) <= idxmap%local_rows)) then + idx(i) = idxmap%loc_to_glob(idx(i)) + else if ((idxmap%local_rows < idx(i)).and.(idx(i) <= idxmap%local_cols)& + & .and.(.not.owned_)) then + idx(i) = idxmap%loc_to_glob(idx(i)) + else + idx(i) = -1 + end if + end if + end do + + else if (.not.present(mask)) then + + do i=1, size(idx) if ((1<=idx(i)).and.(idx(i) <= idxmap%local_rows)) then idx(i) = idxmap%loc_to_glob(idx(i)) else if ((idxmap%local_rows < idx(i)).and.(idx(i) <= idxmap%local_cols)& @@ -225,133 +237,155 @@ subroutine hash_l2gv1(idx,idxmap,info,mask,owned) else idx(i) = -1 end if - end if - end do + end do - else if (.not.present(mask)) then + end if - do i=1, size(idx) - if ((1<=idx(i)).and.(idx(i) <= idxmap%local_rows)) then - idx(i) = idxmap%loc_to_glob(idx(i)) - else if ((idxmap%local_rows < idx(i)).and.(idx(i) <= idxmap%local_cols)& - & .and.(.not.owned_)) then - idx(i) = idxmap%loc_to_glob(idx(i)) - else - idx(i) = -1 + end subroutine hash_l2gv1 + + subroutine hash_l2gv2(idxin,idxout,idxmap,info,mask,owned) + implicit none + class(psb_hash_map), intent(in) :: idxmap + integer(psb_ipk_), intent(in) :: idxin(:) + integer(psb_ipk_), intent(out) :: idxout(:) + integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: mask(:) + logical, intent(in), optional :: owned + integer(psb_ipk_) :: is, im + + is = size(idxin) + im = min(is,size(idxout)) + idxout(1:im) = idxin(1:im) + call idxmap%l2g(idxout(1:im),info,mask,owned) + if (is > im) then + write(0,*) 'l2gv2 err -3' + info = -3 + end if + + end subroutine hash_l2gv2 + + + subroutine hash_g2ls1(idx,idxmap,info,mask,owned) + implicit none + class(psb_hash_map), intent(in) :: idxmap + integer(psb_ipk_), intent(inout) :: idx + integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: mask + logical, intent(in), optional :: owned + integer(psb_ipk_) :: idxv(1) + info = 0 + + if (present(mask)) then + if (.not.mask) return + end if + + idxv(1) = idx + call idxmap%g2l(idxv,info,owned=owned) + idx = idxv(1) + + end subroutine hash_g2ls1 + + subroutine hash_g2ls2(idxin,idxout,idxmap,info,mask,owned) + implicit none + class(psb_hash_map), intent(in) :: idxmap + integer(psb_ipk_), intent(in) :: idxin + integer(psb_ipk_), intent(out) :: idxout + integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: mask + logical, intent(in), optional :: owned + + idxout = idxin + call idxmap%g2l(idxout,info,mask,owned) + + end subroutine hash_g2ls2 + + + subroutine hash_g2lv1(idx,idxmap,info,mask,owned) + use psb_penv_mod + use psb_sort_mod + implicit none + class(psb_hash_map), intent(in) :: idxmap + integer(psb_ipk_), intent(inout) :: idx(:) + integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: mask(:) + logical, intent(in), optional :: owned + integer(psb_ipk_) :: i, is, mglob, ip, lip, nrow, ncol, nrm + integer(psb_ipk_) :: ictxt, iam, np + logical :: owned_ + + info = 0 + ictxt = idxmap%get_ctxt() + call psb_info(ictxt,iam,np) + + if (present(mask)) then + if (size(mask) < size(idx)) then + info = -1 + return end if - end do + end if + if (present(owned)) then + owned_ = owned + else + owned_ = .false. + end if - end if - -end subroutine hash_l2gv1 - -subroutine hash_l2gv2(idxin,idxout,idxmap,info,mask,owned) - implicit none - class(psb_hash_map), intent(in) :: idxmap - integer(psb_ipk_), intent(in) :: idxin(:) - integer(psb_ipk_), intent(out) :: idxout(:) - integer(psb_ipk_), intent(out) :: info - logical, intent(in), optional :: mask(:) - logical, intent(in), optional :: owned - integer(psb_ipk_) :: is, im - - is = size(idxin) - im = min(is,size(idxout)) - idxout(1:im) = idxin(1:im) - call idxmap%l2g(idxout(1:im),info,mask,owned) - if (is > im) then - write(0,*) 'l2gv2 err -3' - info = -3 - end if - -end subroutine hash_l2gv2 - - -subroutine hash_g2ls1(idx,idxmap,info,mask,owned) - implicit none - class(psb_hash_map), intent(in) :: idxmap - integer(psb_ipk_), intent(inout) :: idx - integer(psb_ipk_), intent(out) :: info - logical, intent(in), optional :: mask - logical, intent(in), optional :: owned - integer(psb_ipk_) :: idxv(1) - info = 0 - - if (present(mask)) then - if (.not.mask) return - end if - - idxv(1) = idx - call idxmap%g2l(idxv,info,owned=owned) - idx = idxv(1) - -end subroutine hash_g2ls1 - -subroutine hash_g2ls2(idxin,idxout,idxmap,info,mask,owned) - implicit none - class(psb_hash_map), intent(in) :: idxmap - integer(psb_ipk_), intent(in) :: idxin - integer(psb_ipk_), intent(out) :: idxout - integer(psb_ipk_), intent(out) :: info - logical, intent(in), optional :: mask - logical, intent(in), optional :: owned - - idxout = idxin - call idxmap%g2l(idxout,info,mask,owned) - -end subroutine hash_g2ls2 - - -subroutine hash_g2lv1(idx,idxmap,info,mask,owned) - use psb_penv_mod - use psb_sort_mod - implicit none - class(psb_hash_map), intent(in) :: idxmap - integer(psb_ipk_), intent(inout) :: idx(:) - integer(psb_ipk_), intent(out) :: info - logical, intent(in), optional :: mask(:) - logical, intent(in), optional :: owned - integer(psb_ipk_) :: i, is, mglob, ip, lip, nrow, ncol, nrm - integer(psb_ipk_) :: ictxt, iam, np - logical :: owned_ - - info = 0 - ictxt = idxmap%get_ctxt() - call psb_info(ictxt,iam,np) - - if (present(mask)) then - if (size(mask) < size(idx)) then - info = -1 - return + is = size(idx) + + mglob = idxmap%get_gr() + nrow = idxmap%get_lr() + ncol = idxmap%get_lc() + if (owned_) then + nrm = nrow + else + nrm = ncol end if - end if - if (present(owned)) then - owned_ = owned - else - owned_ = .false. - end if + if (present(mask)) then - is = size(idx) + if (idxmap%is_asb()) then - mglob = idxmap%get_gr() - nrow = idxmap%get_lr() - ncol = idxmap%get_lc() - if (owned_) then - nrm = nrow - else - nrm = ncol - end if - if (present(mask)) then + call hash_inner_cnv(is,idx,idxmap%hashvmask,& + & idxmap%hashv,idxmap%glb_lc,mask=mask, nrm=nrm) - if (idxmap%is_asb()) then + else if (idxmap%is_valid()) then - call hash_inner_cnv(is,idx,idxmap%hashvmask,& - & idxmap%hashv,idxmap%glb_lc,mask=mask, nrm=nrm) + do i = 1, is + if (mask(i)) then + ip = idx(i) + if ((ip < 1 ).or.(ip>mglob)) then + idx(i) = -1 + cycle + endif + call hash_inner_cnv(ip,lip,idxmap%hashvmask,idxmap%hashv,idxmap%glb_lc,nrm) + if (lip < 0) & + & call psb_hash_searchkey(ip,lip,idxmap%hash,info) + if (owned_) then + if (lip<=nrow) then + idx(i) = lip + else + idx(i) = -1 + endif + else + idx(i) = lip + endif + end if + enddo + + else + write(0,*) 'Hash status: invalid ',idxmap%get_state() + idx(1:is) = -1 + info = -1 + end if - else if (idxmap%is_valid()) then + else if (.not.present(mask)) then - do i = 1, is - if (mask(i)) then + if (idxmap%is_asb()) then + + call hash_inner_cnv(is,idx,idxmap%hashvmask,& + & idxmap%hashv,idxmap%glb_lc,nrm=nrm) + + else if (idxmap%is_valid()) then + + do i = 1, is ip = idx(i) if ((ip < 1 ).or.(ip>mglob)) then idx(i) = -1 @@ -369,153 +403,158 @@ subroutine hash_g2lv1(idx,idxmap,info,mask,owned) else idx(i) = lip endif - end if - enddo + enddo + + else + write(0,*) 'Hash status: invalid ',idxmap%get_state() + idx(1:is) = -1 + info = -1 + + end if - else - write(0,*) 'Hash status: invalid ',idxmap%get_state() - idx(1:is) = -1 - info = -1 end if - else if (.not.present(mask)) then + end subroutine hash_g2lv1 - if (idxmap%is_asb()) then + subroutine hash_g2lv2(idxin,idxout,idxmap,info,mask,owned) + implicit none + class(psb_hash_map), intent(in) :: idxmap + integer(psb_ipk_), intent(in) :: idxin(:) + integer(psb_ipk_), intent(out) :: idxout(:) + integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: mask(:) + logical, intent(in), optional :: owned + + integer(psb_ipk_) :: is, im + + is = size(idxin) + im = min(is,size(idxout)) + idxout(1:im) = idxin(1:im) + call idxmap%g2l(idxout(1:im),info,mask,owned) + if (is > im) then + write(0,*) 'g2lv2 err -3' + info = -3 + end if - call hash_inner_cnv(is,idx,idxmap%hashvmask,& - & idxmap%hashv,idxmap%glb_lc,nrm=nrm) + end subroutine hash_g2lv2 - else if (idxmap%is_valid()) then - do i = 1, is - ip = idx(i) - if ((ip < 1 ).or.(ip>mglob)) then - idx(i) = -1 - cycle - endif - call hash_inner_cnv(ip,lip,idxmap%hashvmask,idxmap%hashv,idxmap%glb_lc,nrm) - if (lip < 0) & - & call psb_hash_searchkey(ip,lip,idxmap%hash,info) - if (owned_) then - if (lip<=nrow) then - idx(i) = lip - else - idx(i) = -1 - endif - else - idx(i) = lip - endif - enddo - else - write(0,*) 'Hash status: invalid ',idxmap%get_state() - idx(1:is) = -1 - info = -1 + subroutine hash_g2ls1_ins(idx,idxmap,info,mask) + use psb_realloc_mod + use psb_sort_mod + implicit none + class(psb_hash_map), intent(inout) :: idxmap + integer(psb_ipk_), intent(inout) :: idx + integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: mask - end if + integer(psb_ipk_) :: idxv(1) - end if - -end subroutine hash_g2lv1 - -subroutine hash_g2lv2(idxin,idxout,idxmap,info,mask,owned) - implicit none - class(psb_hash_map), intent(in) :: idxmap - integer(psb_ipk_), intent(in) :: idxin(:) - integer(psb_ipk_), intent(out) :: idxout(:) - integer(psb_ipk_), intent(out) :: info - logical, intent(in), optional :: mask(:) - logical, intent(in), optional :: owned - - integer(psb_ipk_) :: is, im - - is = size(idxin) - im = min(is,size(idxout)) - idxout(1:im) = idxin(1:im) - call idxmap%g2l(idxout(1:im),info,mask,owned) - if (is > im) then - write(0,*) 'g2lv2 err -3' - info = -3 - end if - -end subroutine hash_g2lv2 - - - -subroutine hash_g2ls1_ins(idx,idxmap,info,mask) - use psb_realloc_mod - use psb_sort_mod - implicit none - class(psb_hash_map), intent(inout) :: idxmap - integer(psb_ipk_), intent(inout) :: idx - integer(psb_ipk_), intent(out) :: info - logical, intent(in), optional :: mask - - integer(psb_ipk_) :: idxv(1) - - info = 0 - if (present(mask)) then - if (.not.mask) return - end if - idxv(1) = idx - call idxmap%g2l_ins(idxv,info) - idx = idxv(1) - -end subroutine hash_g2ls1_ins - -subroutine hash_g2ls2_ins(idxin,idxout,idxmap,info,mask) - implicit none - class(psb_hash_map), intent(inout) :: idxmap - integer(psb_ipk_), intent(in) :: idxin - integer(psb_ipk_), intent(out) :: idxout - integer(psb_ipk_), intent(out) :: info - logical, intent(in), optional :: mask - - idxout = idxin - call idxmap%g2l_ins(idxout,info,mask=mask) - -end subroutine hash_g2ls2_ins - - -subroutine hash_g2lv1_ins(idx,idxmap,info,mask) - use psb_error_mod - use psb_realloc_mod - use psb_sort_mod - use psb_penv_mod - implicit none - class(psb_hash_map), intent(inout) :: idxmap - integer(psb_ipk_), intent(inout) :: idx(:) - integer(psb_ipk_), intent(out) :: info - logical, intent(in), optional :: mask(:) - integer(psb_ipk_) :: i, is, mglob, ip, lip, nrow, ncol, & - & nxt, err_act, ictxt, me, np - character(len=20) :: name,ch_err - - info = psb_success_ - name = 'hash_g2l_ins' - call psb_erractionsave(err_act) - - ictxt = idxmap%get_ctxt() - call psb_info(ictxt, me, np) - - is = size(idx) - - if (present(mask)) then - if (size(mask) < size(idx)) then - info = -1 - return + info = 0 + if (present(mask)) then + if (.not.mask) return end if - end if + idxv(1) = idx + call idxmap%g2l_ins(idxv,info) + idx = idxv(1) + + end subroutine hash_g2ls1_ins + + subroutine hash_g2ls2_ins(idxin,idxout,idxmap,info,mask) + implicit none + class(psb_hash_map), intent(inout) :: idxmap + integer(psb_ipk_), intent(in) :: idxin + integer(psb_ipk_), intent(out) :: idxout + integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: mask + idxout = idxin + call idxmap%g2l_ins(idxout,info,mask=mask) - mglob = idxmap%get_gr() - nrow = idxmap%get_lr() - if (idxmap%is_bld()) then + end subroutine hash_g2ls2_ins + + + subroutine hash_g2lv1_ins(idx,idxmap,info,mask) + use psb_error_mod + use psb_realloc_mod + use psb_sort_mod + use psb_penv_mod + implicit none + class(psb_hash_map), intent(inout) :: idxmap + integer(psb_ipk_), intent(inout) :: idx(:) + integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: mask(:) + integer(psb_ipk_) :: i, is, mglob, ip, lip, nrow, ncol, & + & nxt, err_act, ictxt, me, np + character(len=20) :: name,ch_err + + info = psb_success_ + name = 'hash_g2l_ins' + call psb_erractionsave(err_act) + + ictxt = idxmap%get_ctxt() + call psb_info(ictxt, me, np) + + is = size(idx) if (present(mask)) then - do i = 1, is - ncol = idxmap%get_lc() - if (mask(i)) then + if (size(mask) < size(idx)) then + info = -1 + return + end if + end if + + + mglob = idxmap%get_gr() + nrow = idxmap%get_lr() + if (idxmap%is_bld()) then + + if (present(mask)) then + do i = 1, is + ncol = idxmap%get_lc() + if (mask(i)) then + ip = idx(i) + if ((ip < 1 ).or.(ip>mglob)) then + idx(i) = -1 + cycle + endif + nxt = ncol + 1 + call hash_inner_cnv(ip,lip,idxmap%hashvmask,idxmap%hashv,idxmap%glb_lc,ncol) + if (lip < 0) & + & call psb_hash_searchinskey(ip,lip,nxt,idxmap%hash,info) + + if (info >=0) then + if (nxt == lip) then + ncol = nxt + call psb_ensure_size(ncol,idxmap%loc_to_glob,info,pad=-1,addsz=200) + if (info /= psb_success_) then + info=1 + ch_err='psb_ensure_size' + call psb_errpush(psb_err_from_subroutine_ai_,name,& + &a_err=ch_err,i_err=(/info,0,0,0,0/)) + goto 9999 + end if + idxmap%loc_to_glob(nxt) = ip + call idxmap%set_lc(ncol) + endif + info = psb_success_ + else + ch_err='SearchInsKeyVal' + call psb_errpush(psb_err_from_subroutine_ai_,name,& + & a_err=ch_err,i_err=(/info,0,0,0,0/)) + goto 9999 + end if + idx(i) = lip + info = psb_success_ + else + idx(i) = -1 + end if + enddo + + else + do i = 1, is + ncol = idxmap%get_lc() ip = idx(i) if ((ip < 1 ).or.(ip>mglob)) then idx(i) = -1 @@ -549,520 +588,515 @@ subroutine hash_g2lv1_ins(idx,idxmap,info,mask) end if idx(i) = lip info = psb_success_ - else - idx(i) = -1 - end if - enddo + enddo - else - do i = 1, is - ncol = idxmap%get_lc() - ip = idx(i) - if ((ip < 1 ).or.(ip>mglob)) then - idx(i) = -1 - cycle - endif - nxt = ncol + 1 - call hash_inner_cnv(ip,lip,idxmap%hashvmask,idxmap%hashv,idxmap%glb_lc,ncol) - if (lip < 0) & - & call psb_hash_searchinskey(ip,lip,nxt,idxmap%hash,info) - - if (info >=0) then - if (nxt == lip) then - ncol = nxt - call psb_ensure_size(ncol,idxmap%loc_to_glob,info,pad=-1,addsz=200) - if (info /= psb_success_) then - info=1 - ch_err='psb_ensure_size' - call psb_errpush(psb_err_from_subroutine_ai_,name,& - &a_err=ch_err,i_err=(/info,0,0,0,0/)) - goto 9999 - end if - idxmap%loc_to_glob(nxt) = ip - call idxmap%set_lc(ncol) - endif - info = psb_success_ - else - ch_err='SearchInsKeyVal' - call psb_errpush(psb_err_from_subroutine_ai_,name,& - & a_err=ch_err,i_err=(/info,0,0,0,0/)) - goto 9999 - end if - idx(i) = lip - info = psb_success_ - enddo + end if + else + ! Wrong state + idx = -1 + info = -1 end if - - else - ! Wrong state - idx = -1 - info = -1 - end if - call psb_erractionrestore(err_act) - return + call psb_erractionrestore(err_act) + return 9999 continue - call psb_erractionrestore(err_act) + call psb_erractionrestore(err_act) - if (err_act == psb_act_ret_) then - return - else - call psb_error(ictxt) - end if - return - -end subroutine hash_g2lv1_ins - -subroutine hash_g2lv2_ins(idxin,idxout,idxmap,info,mask) - implicit none - class(psb_hash_map), intent(inout) :: idxmap - integer(psb_ipk_), intent(in) :: idxin(:) - integer(psb_ipk_), intent(out) :: idxout(:) - integer(psb_ipk_), intent(out) :: info - logical, intent(in), optional :: mask(:) - integer(psb_ipk_) :: is, im - - is = size(idxin) - im = min(is,size(idxout)) - idxout(1:im) = idxin(1:im) - call idxmap%g2l_ins(idxout(1:im),info,mask) - if (is > im) then - write(0,*) 'g2lv2_ins err -3' - info = -3 - end if - -end subroutine hash_g2lv2_ins - -subroutine hash_init_vl(idxmap,ictxt,vl,info) - use psb_penv_mod - use psb_error_mod - use psb_sort_mod - use psb_realloc_mod - implicit none - class(psb_hash_map), intent(inout) :: idxmap - integer(psb_ipk_), intent(in) :: ictxt, vl(:) - integer(psb_ipk_), intent(out) :: info - ! To be implemented - integer(psb_ipk_) :: iam, np, i, nlu, nl, m, nrt,int_err(5) - integer(psb_ipk_), allocatable :: vlu(:) - character(len=20), parameter :: name='hash_map_init_vl' - - info = 0 - call psb_info(ictxt,iam,np) - if (np < 0) then - write(psb_err_unit,*) 'Invalid ictxt:',ictxt - info = -1 + if (err_act == psb_act_ret_) then + return + else + call psb_error(ictxt) + end if return - end if - nl = size(vl) + end subroutine hash_g2lv1_ins - m = maxval(vl(1:nl)) - nrt = nl - call psb_sum(ictxt,nrt) - call psb_max(ictxt,m) + subroutine hash_g2lv2_ins(idxin,idxout,idxmap,info,mask) + implicit none + class(psb_hash_map), intent(inout) :: idxmap + integer(psb_ipk_), intent(in) :: idxin(:) + integer(psb_ipk_), intent(out) :: idxout(:) + integer(psb_ipk_), intent(out) :: info + logical, intent(in), optional :: mask(:) + integer(psb_ipk_) :: is, im + + is = size(idxin) + im = min(is,size(idxout)) + idxout(1:im) = idxin(1:im) + call idxmap%g2l_ins(idxout(1:im),info,mask) + if (is > im) then + write(0,*) 'g2lv2_ins err -3' + info = -3 + end if - allocate(vlu(nl), stat=info) - if (info /= 0) then - info = -1 - return - end if - - do i=1,nl - if ((vl(i)<1).or.(vl(i)>m)) then - info = psb_err_entry_out_of_bounds_ - int_err(1) = i - int_err(2) = vl(i) - int_err(3) = nl - int_err(4) = m - exit - endif - vlu(i) = vl(i) - end do - - if ((m /= nrt).and.(iam == psb_root_)) then - write(psb_err_unit,*) trim(name),& - & ' Warning: globalcheck=.false., but there is a mismatch' - write(psb_err_unit,*) trim(name),& - & ' : in the global sizes!',m,nrt - end if - ! - ! Now sort the input items, and check for duplicates - ! (unlikely, but possible) - ! - call psb_msort_unique(vlu,nlu) - if (nlu /= nl) then - write(0,*) 'Warning: duplicates in input' - end if - - call hash_init_vlu(idxmap,ictxt,m,nlu,vlu,info) - -end subroutine hash_init_vl - -subroutine hash_init_vg(idxmap,ictxt,vg,info) - use psb_penv_mod - use psb_error_mod - implicit none - class(psb_hash_map), intent(inout) :: idxmap - integer(psb_ipk_), intent(in) :: ictxt, vg(:) - integer(psb_ipk_), intent(out) :: info - ! To be implemented - integer(psb_ipk_) :: iam, np, i, j, nl, n, int_err(5) - integer(psb_ipk_), allocatable :: vlu(:) - - info = 0 - call psb_info(ictxt,iam,np) - if (np < 0) then - write(psb_err_unit,*) 'Invalid ictxt:',ictxt - info = -1 - return - end if - - n = size(vg) - nl = 0 - do i=1, n - if ((vg(i)<0).or.(vg(i)>=np)) then - info = psb_err_partfunc_wrong_pid_ - int_err(1) = 3 - int_err(2) = vg(i) - int_err(3) = i - exit - endif - if (vg(i) == iam) nl = nl + 1 - end do + end subroutine hash_g2lv2_ins - allocate(vlu(nl), stat=info) - if (info /= 0) then - info = -1 - return - end if + subroutine hash_init_vl(idxmap,ictxt,vl,info) + use psb_penv_mod + use psb_error_mod + use psb_sort_mod + use psb_realloc_mod + implicit none + class(psb_hash_map), intent(inout) :: idxmap + integer(psb_ipk_), intent(in) :: ictxt, vl(:) + integer(psb_ipk_), intent(out) :: info + ! To be implemented + integer(psb_ipk_) :: iam, np, i, nlu, nl, m, nrt,int_err(5) + integer(psb_ipk_), allocatable :: vlu(:) + character(len=20), parameter :: name='hash_map_init_vl' + + info = 0 + call psb_info(ictxt,iam,np) + if (np < 0) then + write(psb_err_unit,*) 'Invalid ictxt:',ictxt + info = -1 + return + end if + + nl = size(vl) - j = 0 - do i=1, n - if (vg(i) == iam) then - j = j + 1 - vlu(j) = i + m = maxval(vl(1:nl)) + nrt = nl + call psb_sum(ictxt,nrt) + call psb_max(ictxt,m) + + allocate(vlu(nl), stat=info) + if (info /= 0) then + info = -1 + return + end if + + do i=1,nl + if ((vl(i)<1).or.(vl(i)>m)) then + info = psb_err_entry_out_of_bounds_ + int_err(1) = i + int_err(2) = vl(i) + int_err(3) = nl + int_err(4) = m + exit + endif + vlu(i) = vl(i) + end do + + if ((m /= nrt).and.(iam == psb_root_)) then + write(psb_err_unit,*) trim(name),& + & ' Warning: globalcheck=.false., but there is a mismatch' + write(psb_err_unit,*) trim(name),& + & ' : in the global sizes!',m,nrt end if - end do + ! + ! Now sort the input items, and check for duplicates + ! (unlikely, but possible) + ! + call psb_msort_unique(vlu,nlu) + if (nlu /= nl) then + write(0,*) 'Warning: duplicates in input' + end if + + call hash_init_vlu(idxmap,ictxt,m,nlu,vlu,info) + end subroutine hash_init_vl - call hash_init_vlu(idxmap,ictxt,n,nl,vlu,info) + subroutine hash_init_vg(idxmap,ictxt,vg,info) + use psb_penv_mod + use psb_error_mod + implicit none + class(psb_hash_map), intent(inout) :: idxmap + integer(psb_ipk_), intent(in) :: ictxt, vg(:) + integer(psb_ipk_), intent(out) :: info + ! To be implemented + integer(psb_ipk_) :: iam, np, i, j, nl, n, int_err(5) + integer(psb_ipk_), allocatable :: vlu(:) + + info = 0 + call psb_info(ictxt,iam,np) + if (np < 0) then + write(psb_err_unit,*) 'Invalid ictxt:',ictxt + info = -1 + return + end if + n = size(vg) + nl = 0 + do i=1, n + if ((vg(i)<0).or.(vg(i)>=np)) then + info = psb_err_partfunc_wrong_pid_ + int_err(1) = 3 + int_err(2) = vg(i) + int_err(3) = i + exit + endif + if (vg(i) == iam) nl = nl + 1 + end do -end subroutine hash_init_vg + allocate(vlu(nl), stat=info) + if (info /= 0) then + info = -1 + return + end if + + j = 0 + do i=1, n + if (vg(i) == iam) then + j = j + 1 + vlu(j) = i + end if + end do -subroutine hash_init_vlu(idxmap,ictxt,ntot,nl,vlu,info) - use psb_penv_mod - use psb_error_mod - use psb_sort_mod - use psb_realloc_mod - implicit none - class(psb_hash_map), intent(inout) :: idxmap - integer(psb_ipk_), intent(in) :: ictxt, vlu(:), nl, ntot - integer(psb_ipk_), intent(out) :: info - ! To be implemented - integer(psb_ipk_) :: iam, np, i, j, lc2, nlu, m, nrt,int_err(5) - character(len=20), parameter :: name='hash_map_init_vlu' + call hash_init_vlu(idxmap,ictxt,n,nl,vlu,info) - info = 0 - call psb_info(ictxt,iam,np) - if (np < 0) then - write(psb_err_unit,*) 'Invalid ictxt:',ictxt - info = -1 - return - end if - - idxmap%global_rows = ntot - idxmap%global_cols = ntot - idxmap%local_rows = nl - idxmap%local_cols = nl - idxmap%ictxt = ictxt - idxmap%state = psb_desc_bld_ - call psb_get_mpicomm(ictxt,idxmap%mpic) - - lc2 = int(1.5*nl) - allocate(idxmap%hash,idxmap%loc_to_glob(lc2),stat=info) - if (info /= 0) then - info = -2 - return - end if - - call psb_hash_init(nl,idxmap%hash,info) - if (info /= 0) then - write(0,*) 'from Hash_Init inside init_vlu',info - info = -3 - return - endif - - do i=1, nl - idxmap%loc_to_glob(i) = vlu(i) - end do - - call hash_bld_g2l_map(idxmap,info) - call idxmap%set_state(psb_desc_bld_) - -end subroutine hash_init_vlu - - - -subroutine hash_bld_g2l_map(idxmap,info) - use psb_penv_mod - use psb_error_mod - use psb_sort_mod - use psb_realloc_mod - implicit none - class(psb_hash_map), intent(inout) :: idxmap - integer(psb_ipk_), intent(out) :: info - ! To be implemented - integer(psb_ipk_) :: ictxt, iam, np, i, j, m, nl - integer(psb_ipk_) :: key, ih, nh, idx, nbits, hsize, hmask - character(len=20), parameter :: name='hash_map_init_vlu' - - info = 0 - ictxt = idxmap%get_ctxt() - - call psb_info(ictxt,iam,np) - if (np < 0) then - write(psb_err_unit,*) 'Invalid ictxt:',ictxt - info = -1 - return - end if - nl = idxmap%get_lc() + end subroutine hash_init_vg - call psb_realloc(nl,2,idxmap%glb_lc,info) - nbits = psb_hash_bits - hsize = 2**nbits - do - if (hsize < 0) then - ! This should never happen for sane values - ! of psb_max_hash_bits. - write(psb_err_unit,*) & - & 'Error: hash size overflow ',hsize,nbits - info = -2 + subroutine hash_init_vlu(idxmap,ictxt,ntot,nl,vlu,info) + use psb_penv_mod + use psb_error_mod + use psb_sort_mod + use psb_realloc_mod + implicit none + class(psb_hash_map), intent(inout) :: idxmap + integer(psb_ipk_), intent(in) :: ictxt, vlu(:), nl, ntot + integer(psb_ipk_), intent(out) :: info + ! To be implemented + integer(psb_ipk_) :: iam, np, i, j, lc2, nlu, m, nrt,int_err(5) + character(len=20), parameter :: name='hash_map_init_vlu' + + info = 0 + call psb_info(ictxt,iam,np) + if (np < 0) then + write(psb_err_unit,*) 'Invalid ictxt:',ictxt + info = -1 return end if - if (hsize > nl) exit - if (nbits >= psb_max_hash_bits) exit - nbits = nbits + 1 - hsize = hsize * 2 - end do - - hmask = hsize - 1 - idxmap%hashvsize = hsize - idxmap%hashvmask = hmask - - if (info == psb_success_) & - & call psb_realloc(hsize+1,idxmap%hashv,info,lb=0) - if (info /= psb_success_) then - ! !$ ch_err='psb_realloc' - ! !$ call psb_errpush(info,name,a_err=ch_err) - ! !$ goto 9999 - info = -4 - return - end if - - idxmap%hashv(:) = 0 - - do i=1, nl - key = idxmap%loc_to_glob(i) - ih = iand(key,hmask) - idxmap%hashv(ih) = idxmap%hashv(ih) + 1 - end do - - nh = idxmap%hashv(0) - idx = 1 - - do i=1, hsize - idxmap%hashv(i-1) = idx - idx = idx + nh - nh = idxmap%hashv(i) - end do - - do i=1, nl - key = idxmap%loc_to_glob(i) - ih = iand(key,hmask) - idx = idxmap%hashv(ih) - idxmap%glb_lc(idx,1) = key - idxmap%glb_lc(idx,2) = i - idxmap%hashv(ih) = idxmap%hashv(ih) + 1 - end do - - do i = hsize, 1, -1 - idxmap%hashv(i) = idxmap%hashv(i-1) - end do - - idxmap%hashv(0) = 1 - do i=0, hsize-1 - idx = idxmap%hashv(i) - nh = idxmap%hashv(i+1) - idxmap%hashv(i) - if (nh > 1) then - call psb_msort(idxmap%glb_lc(idx:idx+nh-1,1),& - & ix=idxmap%glb_lc(idx:idx+nh-1,2),& - & flag=psb_sort_keep_idx_) + + idxmap%global_rows = ntot + idxmap%global_cols = ntot + idxmap%local_rows = nl + idxmap%local_cols = nl + idxmap%ictxt = ictxt + idxmap%state = psb_desc_bld_ + call psb_get_mpicomm(ictxt,idxmap%mpic) + + lc2 = int(1.5*nl) + allocate(idxmap%loc_to_glob(lc2),stat=info) + if (info /= 0) then + info = -2 + return end if - end do -end subroutine hash_bld_g2l_map + call psb_hash_init(nl,idxmap%hash,info) + if (info /= 0) then + write(0,*) 'from Hash_Init inside init_vlu',info + info = -3 + return + endif + do i=1, nl + idxmap%loc_to_glob(i) = vlu(i) + end do -subroutine hash_asb(idxmap,info) - use psb_penv_mod - use psb_error_mod - use psb_realloc_mod - use psb_sort_mod - implicit none - class(psb_hash_map), intent(inout) :: idxmap - integer(psb_ipk_), intent(out) :: info + call hash_bld_g2l_map(idxmap,info) + call idxmap%set_state(psb_desc_bld_) - integer(psb_ipk_) :: nhal, ictxt, iam, np + end subroutine hash_init_vlu - info = 0 - ictxt = idxmap%get_ctxt() - call psb_info(ictxt,iam,np) - nhal = max(0,idxmap%local_cols-idxmap%local_rows) - call hash_bld_g2l_map(idxmap,info) - if (info /= 0) then - write(0,*) 'Error from bld_g2l_map', info - return - end if + subroutine hash_bld_g2l_map(idxmap,info) + use psb_penv_mod + use psb_error_mod + use psb_sort_mod + use psb_realloc_mod + implicit none + class(psb_hash_map), intent(inout) :: idxmap + integer(psb_ipk_), intent(out) :: info + ! To be implemented + integer(psb_ipk_) :: ictxt, iam, np, i, j, m, nl + integer(psb_ipk_) :: key, ih, nh, idx, nbits, hsize, hmask + character(len=20), parameter :: name='hash_map_init_vlu' - call psb_free(idxmap%hash,info) - if (info == 0) deallocate(idxmap%hash,stat=info) - if (info /= 0) then - write(0,*) 'Error from hash free', info - return - end if - - call idxmap%set_state(psb_desc_asb_) - -end subroutine hash_asb - -function hash_get_fmt() result(res) - implicit none - character(len=5) :: res - res = 'HASH' -end function hash_get_fmt - - -subroutine hash_inner_cnvs1(x,hashmask,hashv,glb_lc,nrm) - - integer(psb_ipk_), intent(in) :: hashmask,hashv(0:),glb_lc(:,:) - integer(psb_ipk_), intent(inout) :: x - integer(psb_ipk_), intent(in) :: nrm - integer(psb_ipk_) :: ih, key, idx,nh,tmp,lb,ub,lm - ! - ! When a large descriptor is assembled the indices - ! are kept in a (hashed) list of ordered lists. - ! Thus we first hash the index, then we do a binary search on the - ! ordered sublist. The hashing is based on the low-order bits - ! for a width of psb_hash_bits - ! - - key = x - ih = iand(key,hashmask) - idx = hashv(ih) - nh = hashv(ih+1) - hashv(ih) - if (nh > 0) then - tmp = -1 - lb = idx - ub = idx+nh-1 + info = 0 + ictxt = idxmap%get_ctxt() + + call psb_info(ictxt,iam,np) + if (np < 0) then + write(psb_err_unit,*) 'Invalid ictxt:',ictxt + info = -1 + return + end if + + nl = idxmap%get_lc() + + call psb_realloc(nl,2,idxmap%glb_lc,info) + + nbits = psb_hash_bits + hsize = 2**nbits do - if (lb>ub) exit - lm = (lb+ub)/2 - if (key == glb_lc(lm,1)) then - tmp = lm - exit - else if (key nl) exit + if (nbits >= psb_max_hash_bits) exit + nbits = nbits + 1 + hsize = hsize * 2 end do - else - tmp = -1 - end if - if (tmp > 0) then - x = glb_lc(tmp,2) - if (x > nrm) then - x = -1 + + hmask = hsize - 1 + idxmap%hashvsize = hsize + idxmap%hashvmask = hmask + + if (info == psb_success_) & + & call psb_realloc(hsize+1,idxmap%hashv,info,lb=0) + if (info /= psb_success_) then + ! !$ ch_err='psb_realloc' + ! !$ call psb_errpush(info,name,a_err=ch_err) + ! !$ goto 9999 + info = -4 + return end if - else - x = tmp - end if -end subroutine hash_inner_cnvs1 - -subroutine hash_inner_cnvs2(x,y,hashmask,hashv,glb_lc,nrm) - integer(psb_ipk_), intent(in) :: hashmask,hashv(0:),glb_lc(:,:) - integer(psb_ipk_), intent(in) :: x - integer(psb_ipk_), intent(out) :: y - integer(psb_ipk_), intent(in) :: nrm - integer(psb_ipk_) :: ih, key, idx,nh,tmp,lb,ub,lm - ! - ! When a large descriptor is assembled the indices - ! are kept in a (hashed) list of ordered lists. - ! Thus we first hash the index, then we do a binary search on the - ! ordered sublist. The hashing is based on the low-order bits - ! for a width of psb_hash_bits - ! - - key = x - ih = iand(key,hashmask) - idx = hashv(ih) - nh = hashv(ih+1) - hashv(ih) - if (nh > 0) then - tmp = -1 - lb = idx - ub = idx+nh-1 - do - if (lb>ub) exit - lm = (lb+ub)/2 - if (key == glb_lc(lm,1)) then - tmp = lm - exit - else if (key 1) then + call psb_msort(idxmap%glb_lc(idx:idx+nh-1,1),& + & ix=idxmap%glb_lc(idx:idx+nh-1,2),& + & flag=psb_sort_keep_idx_) end if end do - else - tmp = -1 - end if - if (tmp > 0) then - y = glb_lc(tmp,2) - if (y > nrm) then - y = -1 + + end subroutine hash_bld_g2l_map + + + subroutine hash_asb(idxmap,info) + use psb_penv_mod + use psb_error_mod + use psb_realloc_mod + use psb_sort_mod + implicit none + class(psb_hash_map), intent(inout) :: idxmap + integer(psb_ipk_), intent(out) :: info + + integer(psb_ipk_) :: nhal, ictxt, iam, np + + info = 0 + ictxt = idxmap%get_ctxt() + call psb_info(ictxt,iam,np) + + nhal = max(0,idxmap%local_cols-idxmap%local_rows) + + call hash_bld_g2l_map(idxmap,info) + if (info /= 0) then + write(0,*) 'Error from bld_g2l_map', info + return end if - else - y = tmp - end if -end subroutine hash_inner_cnvs2 - - -subroutine hash_inner_cnv1(n,x,hashmask,hashv,glb_lc,mask,nrm) - integer(psb_ipk_), intent(in) :: n,hashmask,hashv(0:),glb_lc(:,:) - logical, intent(in), optional :: mask(:) - integer(psb_ipk_), intent(in), optional :: nrm - integer(psb_ipk_), intent(inout) :: x(:) - - integer(psb_ipk_) :: i, ih, key, idx,nh,tmp,lb,ub,lm - ! - ! When a large descriptor is assembled the indices - ! are kept in a (hashed) list of ordered lists. - ! Thus we first hash the index, then we do a binary search on the - ! ordered sublist. The hashing is based on the low-order bits - ! for a width of psb_hash_bits - ! - if (present(mask)) then - do i=1, n - if (mask(i)) then + + call psb_free(idxmap%hash,info) + if (info /= 0) then + write(0,*) 'Error from hash free', info + return + end if + + call idxmap%set_state(psb_desc_asb_) + + end subroutine hash_asb + + function hash_get_fmt() result(res) + implicit none + character(len=5) :: res + res = 'HASH' + end function hash_get_fmt + + + subroutine hash_inner_cnvs1(x,hashmask,hashv,glb_lc,nrm) + + integer(psb_ipk_), intent(in) :: hashmask,hashv(0:),glb_lc(:,:) + integer(psb_ipk_), intent(inout) :: x + integer(psb_ipk_), intent(in) :: nrm + integer(psb_ipk_) :: ih, key, idx,nh,tmp,lb,ub,lm + ! + ! When a large descriptor is assembled the indices + ! are kept in a (hashed) list of ordered lists. + ! Thus we first hash the index, then we do a binary search on the + ! ordered sublist. The hashing is based on the low-order bits + ! for a width of psb_hash_bits + ! + + key = x + ih = iand(key,hashmask) + idx = hashv(ih) + nh = hashv(ih+1) - hashv(ih) + if (nh > 0) then + tmp = -1 + lb = idx + ub = idx+nh-1 + do + if (lb>ub) exit + lm = (lb+ub)/2 + if (key == glb_lc(lm,1)) then + tmp = lm + exit + else if (key 0) then + x = glb_lc(tmp,2) + if (x > nrm) then + x = -1 + end if + else + x = tmp + end if + end subroutine hash_inner_cnvs1 + + subroutine hash_inner_cnvs2(x,y,hashmask,hashv,glb_lc,nrm) + integer(psb_ipk_), intent(in) :: hashmask,hashv(0:),glb_lc(:,:) + integer(psb_ipk_), intent(in) :: x + integer(psb_ipk_), intent(out) :: y + integer(psb_ipk_), intent(in) :: nrm + integer(psb_ipk_) :: ih, key, idx,nh,tmp,lb,ub,lm + ! + ! When a large descriptor is assembled the indices + ! are kept in a (hashed) list of ordered lists. + ! Thus we first hash the index, then we do a binary search on the + ! ordered sublist. The hashing is based on the low-order bits + ! for a width of psb_hash_bits + ! + + key = x + ih = iand(key,hashmask) + idx = hashv(ih) + nh = hashv(ih+1) - hashv(ih) + if (nh > 0) then + tmp = -1 + lb = idx + ub = idx+nh-1 + do + if (lb>ub) exit + lm = (lb+ub)/2 + if (key == glb_lc(lm,1)) then + tmp = lm + exit + else if (key 0) then + y = glb_lc(tmp,2) + if (y > nrm) then + y = -1 + end if + else + y = tmp + end if + end subroutine hash_inner_cnvs2 + + + subroutine hash_inner_cnv1(n,x,hashmask,hashv,glb_lc,mask,nrm) + integer(psb_ipk_), intent(in) :: n,hashmask,hashv(0:),glb_lc(:,:) + logical, intent(in), optional :: mask(:) + integer(psb_ipk_), intent(in), optional :: nrm + integer(psb_ipk_), intent(inout) :: x(:) + + integer(psb_ipk_) :: i, ih, key, idx,nh,tmp,lb,ub,lm + ! + ! When a large descriptor is assembled the indices + ! are kept in a (hashed) list of ordered lists. + ! Thus we first hash the index, then we do a binary search on the + ! ordered sublist. The hashing is based on the low-order bits + ! for a width of psb_hash_bits + ! + if (present(mask)) then + do i=1, n + if (mask(i)) then + key = x(i) + ih = iand(key,hashmask) + idx = hashv(ih) + nh = hashv(ih+1) - hashv(ih) + if (nh > 0) then + tmp = -1 + lb = idx + ub = idx+nh-1 + do + if (lb>ub) exit + lm = (lb+ub)/2 + if (key == glb_lc(lm,1)) then + tmp = lm + exit + else if (key 0) then + x(i) = glb_lc(tmp,2) + if (present(nrm)) then + if (x(i) > nrm) then + x(i) = -1 + end if + end if + else + x(i) = tmp + end if + end if + end do + else + do i=1, n key = x(i) ih = iand(key,hashmask) idx = hashv(ih) @@ -1096,65 +1130,70 @@ subroutine hash_inner_cnv1(n,x,hashmask,hashv,glb_lc,mask,nrm) else x(i) = tmp end if - end if - end do - else - do i=1, n - key = x(i) - ih = iand(key,hashmask) - idx = hashv(ih) - nh = hashv(ih+1) - hashv(ih) - if (nh > 0) then - tmp = -1 - lb = idx - ub = idx+nh-1 - do - if (lb>ub) exit - lm = (lb+ub)/2 - if (key == glb_lc(lm,1)) then - tmp = lm - exit - else if (key ubound(hashv,1) ) then + write(psb_err_unit,*) ' In inner cnv: ',ih,ubound(hashv) end if - end do - else - tmp = -1 - end if - if (tmp > 0) then - x(i) = glb_lc(tmp,2) - if (present(nrm)) then - if (x(i) > nrm) then - x(i) = -1 + idx = hashv(ih) + nh = hashv(ih+1) - hashv(ih) + if (nh > 0) then + tmp = -1 + lb = idx + ub = idx+nh-1 + do + if (lb>ub) exit + lm = (lb+ub)/2 + if (key == glb_lc(lm,1)) then + tmp = lm + exit + else if (key 0) then + y(i) = glb_lc(tmp,2) + if (present(nrm)) then + if (y(i) > nrm) then + y(i) = -1 + end if + end if + else + y(i) = tmp end if end if - else - x(i) = tmp - end if - end do - end if -end subroutine hash_inner_cnv1 - -subroutine hash_inner_cnv2(n,x,y,hashmask,hashv,glb_lc,mask,nrm) - integer(psb_ipk_), intent(in) :: n, hashmask,hashv(0:),glb_lc(:,:) - logical, intent(in), optional :: mask(:) - integer(psb_ipk_), intent(in), optional :: nrm - integer(psb_ipk_), intent(in) :: x(:) - integer(psb_ipk_), intent(out) :: y(:) - - integer(psb_ipk_) :: i, ih, key, idx,nh,tmp,lb,ub,lm - ! - ! When a large descriptor is assembled the indices - ! are kept in a (hashed) list of ordered lists. - ! Thus we first hash the index, then we do a binary search on the - ! ordered sublist. The hashing is based on the low-order bits - ! for a width of psb_hash_bits - ! - if (present(mask)) then - do i=1, n - if (mask(i)) then + end do + + else + + do i=1, n key = x(i) ih = iand(key,hashmask) if (ih > ubound(hashv,1) ) then @@ -1191,51 +1230,9 @@ subroutine hash_inner_cnv2(n,x,y,hashmask,hashv,glb_lc,mask,nrm) else y(i) = tmp end if - end if - end do - - else - - do i=1, n - key = x(i) - ih = iand(key,hashmask) - if (ih > ubound(hashv,1) ) then - write(psb_err_unit,*) ' In inner cnv: ',ih,ubound(hashv) - end if - idx = hashv(ih) - nh = hashv(ih+1) - hashv(ih) - if (nh > 0) then - tmp = -1 - lb = idx - ub = idx+nh-1 - do - if (lb>ub) exit - lm = (lb+ub)/2 - if (key == glb_lc(lm,1)) then - tmp = lm - exit - else if (key 0) then - y(i) = glb_lc(tmp,2) - if (present(nrm)) then - if (y(i) > nrm) then - y(i) = -1 - end if - end if - else - y(i) = tmp - end if - end do - end if -end subroutine hash_inner_cnv2 + end do + end if + end subroutine hash_inner_cnv2 subroutine hash_clone(idxmap,outmap,info) @@ -1271,7 +1268,6 @@ end subroutine hash_inner_cnv2 outmap%psb_indx_map = idxmap%psb_indx_map outmap%hashvsize = idxmap%hashvsize outmap%hashvmask = idxmap%hashvmask - allocate(outmap%hash, stat=info) end if if (info == psb_success_)& & call psb_safe_ab_cpy(idxmap%loc_to_glob,outmap%loc_to_glob,info) @@ -1281,7 +1277,8 @@ end subroutine hash_inner_cnv2 & call psb_safe_ab_cpy(idxmap%glb_lc,outmap%glb_lc,info) if (info == psb_success_)& & call psb_hash_copy(idxmap%hash,outmap%hash,info) - class default +!!$ outmap = idxmap + class default ! This should be impossible info = -1 end select @@ -1303,4 +1300,27 @@ end subroutine hash_inner_cnv2 end subroutine hash_clone + subroutine hash_cpy(outmap,idxmap) + use psb_penv_mod + use psb_error_mod + use psb_realloc_mod + class(psb_hash_map), intent(in) :: idxmap + type(psb_hash_map), intent(out) :: outmap + integer :: info + + outmap%psb_indx_map = idxmap%psb_indx_map + outmap%hashvsize = idxmap%hashvsize + outmap%hashvmask = idxmap%hashvmask + if (info == psb_success_)& + & call psb_safe_ab_cpy(idxmap%loc_to_glob,outmap%loc_to_glob,info) + if (info == psb_success_)& + & call psb_safe_ab_cpy(idxmap%hashv,outmap%hashv,info) + if (info == psb_success_)& + & call psb_safe_ab_cpy(idxmap%glb_lc,outmap%glb_lc,info) + if (info == psb_success_)& + & call psb_hash_copy(idxmap%hash,outmap%hash,info) + end subroutine hash_cpy + + + end module psb_hash_map_mod diff --git a/docs/html/footnode.html b/docs/html/footnode.html index 0bb3989c..643991ed 100644 --- a/docs/html/footnode.html +++ b/docs/html/footnode.html @@ -18,14 +18,14 @@ original version by: Nikos Drakos, CBLU, University of Leeds - +
-
... +
... explicitly1
In our prototype implementation we provide @@ -63,7 +63,7 @@ sample scatter/gather routines. .
-
... domain... domain2
This is the normal situation when the pattern of the sparse matrix is @@ -104,8 +104,8 @@ sample scatter/gather routines. .
-
... follows3
+
... follows3
The string is case-insensitive 
.
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diff --git a/docs/html/img100.png b/docs/html/img100.png
index fd2f3222776f1baffd7226b99aad8c2bfd0d769e..154e1ae1bb0c8d6ac08746ada826c5d87814e8f4 100644
GIT binary patch
literal 260
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literal 358
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literal 277
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literal 200
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literal 150
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diff --git a/docs/html/img105.png b/docs/html/img105.png
index 48478479e6bc8f0606e1aaf0505a3d6b836772ad..6e24d57c8f743a02ef5b5430fe8eff70be153eb8 100644
GIT binary patch
literal 263
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diff --git a/docs/html/img106.png b/docs/html/img106.png
index f0a8e0d93f3a9508a4d170d56c27097f982b2fdd..3429fd92c71880c2dced4bcc03dcbff9272abc10 100644
GIT binary patch
literal 249
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literal 390
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diff --git a/docs/html/img107.png b/docs/html/img107.png
index 67fafc48f0c7624a4e52099d1b4b961116eae87c..cb96fe7f1ab812c042793a4bb342884f0fdca1c9 100644
GIT binary patch
literal 264
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literal 273
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diff --git a/docs/html/img109.png b/docs/html/img109.png
index bc3978ffbfef6d64b52a934932b03e5e7f8ca4a9..c37fb3777baef35bd62274b8ff7d0f37eaf22007 100644
GIT binary patch
literal 208
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literal 284
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diff --git a/docs/html/img111.png b/docs/html/img111.png
index b00a8cd8e30966f7b4be07de0eef8daa2abf7a4d..df0c9d187d3c21e0bda05d6f41e2ee407a634ae9 100644
GIT binary patch
literal 793
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diff --git a/docs/html/img112.png b/docs/html/img112.png
index d5fd8d1b3674a74ebe0c5e98ad2218e3bb704899..69215c619b10b5bb57a01f7538b52331a1b7d17c 100644
GIT binary patch
literal 406
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diff --git a/docs/html/img113.png b/docs/html/img113.png
index 8b8bbce788f2241e8eaf8425df45691cb70fa22c..1ba043fefefbcae58c3441e0faa6d29699ea1e65 100644
GIT binary patch
literal 426
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literal 868
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diff --git a/docs/html/img115.png b/docs/html/img115.png
index 97d08ff9cc6a95c58950e0d0409fc8ab76e4a17e..899aed9a7050d320aa055566ea58aa3b980d6303 100644
GIT binary patch
literal 321
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diff --git a/docs/html/img117.png b/docs/html/img117.png
index 195c0224f865d1458c1e406d13197a7caa4a010c..5a4d88133467fa3d706e7a85275ca93840931538 100644
GIT binary patch
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diff --git a/docs/html/img12.png b/docs/html/img12.png
index b6e1ab70d80428faae5ecdce702547312aa0e538..9d510bb967696e971e61869e9e397f72e9c08386 100644
GIT binary patch
delta 66
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delta 66
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diff --git a/docs/html/img120.png b/docs/html/img120.png
index 017eea044bf934f25bded7f4bc5886f7c3ede020..1e0359c319c7e844a0c1752876539491835f8e91 100644
GIT binary patch
literal 271
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literal 535
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diff --git a/docs/html/img121.png b/docs/html/img121.png
index 68bc1a028e93104b22e585d6dba9aed0030d8e59..fb0711bbd65e35a58eb1537f0ef61ff265c219c9 100644
GIT binary patch
literal 542
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diff --git a/docs/html/img122.png b/docs/html/img122.png
index 69253a7820421c3cbae5e138bba5fcf6c740d07c..6ffb8caa238929bb8fdbf7aadef1595c2e899796 100644
GIT binary patch
literal 541
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diff --git a/docs/html/img124.png b/docs/html/img124.png
index 798e786430d3d0a926eebe4c49268ae7d27a51d9..3c2f35d48c28943cea1416ac0c4837a7d4b37c78 100644
GIT binary patch
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diff --git a/docs/html/img126.png b/docs/html/img126.png
index 1fe14d4673902b406e48c274d44fb7e44cf3e24b..16fbe1b733bae4250583c7a87cfeccb1ffb8287c 100644
GIT binary patch
literal 579
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diff --git a/docs/html/img127.png b/docs/html/img127.png
index 5032beaf50de614cad74a71024d28df374a3cfe8..f2318bce2e9019006246abf07a1c3c52ed3bbcbe 100644
GIT binary patch
literal 581
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diff --git a/docs/html/img129.png b/docs/html/img129.png
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literal 743
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diff --git a/docs/html/img133.png b/docs/html/img133.png
index 850dcba0e0715780348d23a8549238be7f098311..0a3ba10e0af66117c39220c53c1a627e9182f6ee 100644
GIT binary patch
delta 255
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delta 258
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literal 274
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diff --git a/docs/html/img136.png b/docs/html/img136.png
index 6928567c99f107cf02428584db43c69f79ef08c5..e69de29bb2d1d6434b8b29ae775ad8c2e48c5391 100644
GIT binary patch
literal 0
HcmV?d00001

literal 585
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diff --git a/docs/html/img138.png b/docs/html/img138.png
index e69de29bb2d1d6434b8b29ae775ad8c2e48c5391..4713133c3e836a1a58b5f38ffc23ac38c4fc46bc 100644
GIT binary patch
literal 372
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literal 0
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diff --git a/docs/html/img14.png b/docs/html/img14.png
index e5fcc49cbe766ddfb333d1e4bf8d311ca5252962..4f94ec288cbfe5d6e89cef823242bf2fa7784ea5 100644
GIT binary patch
delta 620
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literal 445
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diff --git a/docs/html/img142.png b/docs/html/img142.png
index 9eaf8c6191ab4121f82565bc6c709e2d2b9021fd..41e972b937ec2b9e770e3b941cdf945ffb63dc99 100644
GIT binary patch
literal 219
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literal 999
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diff --git a/docs/html/img144.png b/docs/html/img144.png
index 0cc86fe7ac880844c73059882e1d909a55d2188a..c1e6819a0424a7c62ef152dbee0ed72558f7cfbf 100644
GIT binary patch
literal 477
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diff --git a/docs/html/img145.png b/docs/html/img145.png
index 554b59b21951976bc6fb8c9307a231d289435905..81ca11d66a7e22ac598c2ee980122e99a13bb531 100644
GIT binary patch
literal 410
zcmV;L0cHM)P)0wX0000mP)t-sv$M0P
zsHmKroRE-^goK26czA4VY+ztuR8&+*NJu<9JTNdYBqSsl7#Iu;3;+NC>RHR400001
zbW%=J06^y0W&i*I7)eAyR5*=eV1R%I76xoUz=4MwO$e-zlYxzafsdo-lfx%YtQye)
zAC%??GOsf6J`n&jSp*my*dd~n16Bl+aRS6lB@TuU8wym|7$zXZ1_~H)!I>NiK%xP}
z;z7u>2Y@M7116>g7d{vU7<>n*gvfm;U|T+6Gs5lybm1A49Xv#9b$!;H>^M*
z0r>?mhP(h4S&bGb;{%vXnV@m9g?(~pt4jt0gN6G9hR`zC4PY6zWe8;~oD-N1Fc@rM
z=wPs8;BH`_z|4>hHHK{)l4&!UxdW6~HZVM7SjOxxz^BZ>aD_nuWa$(XOP3mOgbHvQ
zur)9&abPR)a^Vh3cSd$&#*Y>T+<;>@5Nse22*VEm0BsRF{>^4ku>b%707*qoM6N<$
Ef=oJ%`2YX_

literal 444
zcmV;t0YmBjLjb~?PO-)TFCno>^01XWdw6wIEnwo%sfOK?pT3T8_KtMD!G#VNjY}~9}00001
zbW%=J06^y0W&i*II!Q!9R5*=eV1NK#1}+AM1q@h$0}u-{fD}O3n1G*=_Z^b}h{cTE
z2<(6#h}ofsC3k(Vn1`mUhk^%#dD$p5B
zK>h|!sI>>cvI%^L*BVTqjuR*Xd!ckEnm7}bUId|dRzvxlFMug-9*&(4K#UDgg&!O^
zm6U+q)8k|Ug#af54+F!ycMljIB!Hz4urVwUH~>l%yb$$=!6eIpZMvHpz(!(;j|Jp<
zY6t-Vys|#1T;?QviWw77`3G{4I1A4)Kj2URGR}Yikil|+#{fybhv5k@)4buI09M3M
zh-S7J1M2|>U<`xOG%$7#DfuxlaKP+ic3|LYMfQjs!x^nUKM2
m0kYvUFul^iiLPiAkOcr9Q8yE}Jw3tz0000%=0000mP)t-sv$M0P
zsHmKroRE-^goK26czA4VY+ztuR8&+*NJu<9JTNdYBqSsl7#Iu;3;+NC>RHR400001
zbW%=J06^y0W&i*H-bqA3R2Y?GU;u#$j12$(|A#Pv7{&$y76yhu2L~9B;Q*L)SjfBD
zvVeghoMWno07&)!{~s6_m>H0OLw{NtV=6-{V;GP#iN!#GmB$`r7#x2XbPKFEo3?G1Q16s|QFqwnFB%Q<2!~w;~{|JD`V!i-|
z3hXkBAF&9!*fDTiU`%;f!*HCTgF)9Ip7Ah415ljl69abv19t!eZv(?erY}HqTO7g0
y8zt~FEBG)l@H%icBtB$d2P!GR?VA5s!3O}-G*q5-t&2YZ0000BjLjb~?PO-)TFCno>^01XWdw6wIEnwo%sfOK?pT3T8_KtMD!G#VNjY}~9}00001
zbW%=J06^y0W&i*IcS%G+R49?1Qawn+Kp1^VY)#U%$*8y-bq0I@$D2H-%_MN6L>IBg_5LI@;+mCHI%kY#yXFfXfed1RCf
zM&SO&U+=rht@LVSsV$L__NY2>(ki=*Y=sKke!Qm&C`XZtihylOs?^`hBFI{6w3Nm?d2a^e
zl&0I0@V`4i3;Hy9F#;~Inp=v&)RZq!EEMN6qaPzKhv?w^(Kg)*Q8v|B!l&-gA3LCU
zNJCV5w3Zp6o>@clfn8ea3`cg^gKY6tM0&KE84DTh7i~{!$Q^v0bYYgRW_*nc!3VB$
vLoxym1i)r*$1nt&9|}5{)gPOD{S)yG39^k34k)6m00000NkvXXu0mjfvbE6`

diff --git a/docs/html/img147.png b/docs/html/img147.png
index ee9568425999fcd6b4f91eaeafc8c6581b4214f9..7e245b7636739fd1ed56c2780ff6e1fb832e7dcc 100644
GIT binary patch
literal 387
zcmV-}0et?6P)RHR400001
zbW%=J06^y0W&i*I0ZBwbR49>SU;qI|1`d7(G$6>p;D9d1z|p|K$DqW-kigl1A%_I`
z7#Ip544+*W7!rUCmIDe5Z1}Vg20$040V#(M3=B%#3~V3RLGB3v^I;%?G8=FLBM`v>
zX0out1c3pxfq{XSL4kqQAg_S2paCd$0O(2w28Iu;3_Kfvk_<9nc?Kf~h6f8iGca%i
z^&^D>7mb`tIVi*~oECvDaukTU5+H1@0LBX-I%NV|S=s^ya~FfoA7H6$Fv;)0@C8V*
za86L{1kyi)1UMEzG&1%Cz@-^xGBbQ+U|<)pXW(@(0895IfGuHq0OBk)U~d2#;#$bS
h8H_L+o70970046UEcg(F#peJ3002ovPDHLkV1nwqfk6NO

literal 451
zcmV;!0X+VRP)0012X0{{R4XRy4b0000mP)t-sz`($#
zr>BjLjb~?PO-)TFCno>^01XWdw6wIEnwo%sfOK?pT3T8_KtMD!G#VNjY}~9}00001
zbW%=J06^y0W&i*IK}keGR5*=eV1R(Qbr70~0R>F>$q8X7po%jwFf%Z4CveRBbpTBV
z4#4#RL>e&g0gY;8-~h4@0GV9O4HGs%L?J*(0ha-U0S|)7y@3I2X2Aglfdd~BE-)k@
z#3nE>0tpVV8|VoF5KLYmW_kc(9Y6^3LAXp064o>=Pzd;7a2_bY4^bj;fSrevvta`V
zLLF~IHwzp8OeTgaJYe%6Moj>DYl48l1guVAQqrWVmuLpKu)7})I5t2TOaa(rk0?MG
zJP$x5_a3hEcN&gpui0sJfr0b%5(WRHR400001
zbW%=J06^y0W&i*Hok>JNR0x@Ejw=qrKoEw%KA@#6ZBPV|2wyV)JTm`eKp4C@2^BY#v^4>R(PM>~^2Hr}8pqT_F#fWO+?<}s
zpnKU;F!84<(wqX4ddaQ)BjLjb~?PO-)TFCno>^01XWdw6wIEnwo%sfOK?pT3T8_KtMD!G#VNjY}~9}00001
zbW%=J06^y0W&i*H?@2^KR2Y?GU;u&J8yM2k(!fjx76AmCfq{o(!zu#>7>@zM;t674
z;6K2?tiZ5gwE;+VT3P}F0~Z4l*t7nC^M%X7Ler7&K?wLTD$OoJZ{Ot1~4l{Vn%fPa9jWY8BG?UX1AOW8X
zq8Rvb$eh6<#-#axA%kJzIpznP5nLZQBX}N6ZQub(unX`UU|=X@V3^jxyJ1=b180&F
zSi|iuwuTMN4h#(Q81%X4GjN=|0{{R4Q>bwY0000jP)t-sv$M0PsHmKroRE-^goK1_Y;0g)
zU{q98NJvOLJUlQkFeD@-7#J7~3=9AO0P&8JI{*Lx0d!JMQvg8b*k%9#0B1==K~xx(
zV_?7zSPKdmcp6|lJ_N@}0{{R4)jR{F0000jP)t-sz`($bjg4n#XH88_CnqPTr>6}K
z4Yahhnwpw`fPi##bXr|*Z_nJF5+-G7zo|PA+eVzan5LW#s}EcvjuQ(fQw5*f(e9`8AO<{
f85_XBUcdkVTjCXd1c>mH00000NkvXXu0mjfS$I*$

diff --git a/docs/html/img16.png b/docs/html/img16.png
index 55c3442a4097c2ac80e440bc7dad325b3f724714..b7b0b14062b29d1f3bd06599cc1a307a6cbfe3a3 100644
GIT binary patch
delta 181
zcmX@Zc!Y6+cs(x*GXn$T_d_RdGB7ac2Ka=yZr;3k#flYk=FFKeVM0qwOGQORPEJlj
zLPAJLh=+%Vjg5_pii(7U1P>1nP{+32cAY?qu_VYZn8D%MjWi&~)zif>gkxqhP)}My
zLIlGRo;3+V95M|NjHmK+8HCuy3>PqLo504_*23+ex0aJ9CgG`tL%?@}0{{R4aaOx`0000jP)t-sz`($bjg4n#XH88_CnqPTr>6}K
z4Yahhnwpw`fPi##bXr00000NkvXXu0mjfuk1hv

diff --git a/docs/html/img17.png b/docs/html/img17.png
index 8db5ceddfffbfe92f16fe6baf259f303cb80d4e2..47445ae6e5855df1d5bd8b54cf112f91328f988f 100644
GIT binary patch
delta 338
zcmV-Y0j>Uu1M&ipDSxxGv#6-3oSdAHkdTCggm`#(Y;0^`U|>{KR7gljJUl!wFfb$}
zBp4VN3=9ka008P)%boxL00DGTPE!Ct=GbNc008hwL_t(IjbmUy1FYx*Xn+lwlfc0B
zfW_|uih}=efGo<7%H;k4Wpc1F$TP4d5U>=*+z&Vu@Z%FyV1MH`XlN)fz>r?Bz%-Z$
z+o=W`NK?)}0gK>=11zl!kv!}W9tSW^8W;-Pfu8xGjINZGA>hIRYzA|X<_>bfe@sA%
z_60<$!<8oRt7FVib8jF*9Sg4m+X1bwJq%%P0sV{m8|o%tSI1DrP{Rxq<8ff{VLc$*
zpb8Vu_|d|^z)J(P>I8(k%rGSZsE#*)A(o*dVQB&bV*ySlYy5Cvi0lkt-~mDgS8T}v
k3jn%c_y8AY{Q#sB~S07*qoM6N<$f_n&yI{*Lx

delta 362
zcmV-w0hRvp0*V8WDSyDgz^A9Djg5_GXJ<`KO(!QO0000D4Gpxkw3?clfPjE>baYx;
zT0lTRG&D3C8X9cetX%*A00DGTPE!Ct=GbNc009U|L_t(IjbmUy0~~040W>}nDwkP-
z;q3<$ku*3!7Ue@Qd4QM|qKAixhlhdh0HXp-j*)>I-9Z@UCV${iz=Kbak%wKQA>hJ>
z24qPA4nB^C4?WUMnEGf2?68RO;TGdMp@6Bb;DDk%BQpy#M2v?)0SFy}75Eqq?2=?e
zHl#s;ow1=H0NsBA3=Iu9!xjd=`C|<1f=mw>_AxO0;>h56zzh@D2|vxia2%K#3n2J5gWMvZI$&C;X4tpk
zumSE=&%mHtBfxoU%>)LP39JH)bBOfkp$SAP90~wS8o~k+0Op8OM$}N+fB*mh07*qo
IM6N<$f)mD;MF0Q*

diff --git a/docs/html/img18.png b/docs/html/img18.png
index 0ab65bf0327acc41aec264e1a69e6b8975b53ef1..5881302d5ae5b35992b87a13771322c90bc42065 100644
GIT binary patch
delta 508
zcmV{KR7gljJUl!wFfb$}
zBp4VN3=9ka008P)%boxL00DGTPE!Ct=GbNc00EgvL_t(IjpdX*OT$nUhTk-wt(EjA
zWOQ`XNiwN}=oM-~QOMvb1VnJmQb{KryS0OK?oY@d;@G9qv42Ykx7ew;=N`inTG!nb<@pp!wrxbh{z!r53OK$Aa}xb34H}L(
zx)p^#+fF>FKfz*0g}6dj>BO0N@6f*k;ha1L!zfg&iTJ0z!kSwfOY|cXZ&?(VDK+c&
z%R8j0^&a-nxt@si1LbRLCV%8QFttb7OYsBrG_{5o;C1to8Ay61l|OYDSyDgz^A9Djg5_GXJ<`KO(!QO0000D4Gpxkw3?clfPjE>baYx;
zT0lTRG&D3C8X9cetX%*A00DGTPE!Ct=GbNc00G=dL_t(Ijop;JOB_KM#-EuJ?rS}V
zR4D|d-FEFJZ9
zaaJvl1xdMenSUre9pz7`T1oj{gCpMl5Y_N}VREPRmG{`R?waU>!A*WQ`WGC+8h)0d
zH!Sq@3pQS*0^~EUNIZm&hM>S9YdD>fEcS4yWOaeZrc@nD7TMa@HjgVGarm=Z>dr)W
zw~Rs@x_+Xaw=(kh#nMabT_s)i6g>!orG1Ap_s=Nh?tfS=T-%ppMk<~9{>k4vWU1vP
zcCg!d#g4b%T|K#ZbS~_8cc$)6ryZ<1;%U@X_OU9c^bdgFZ`E1yIn2(%s$)geHQr{|
zlK#vCZ>k;Vd0c~`1OMKnt^7ewo_$&M`u-s%w+{PG++0(XFSc8FiAAsvVN75Ml@+|N
z8cb}OpgA(L_%`B0Lk=hy6!#3=eC1F+Zfb079nCfIMcvclKV;PD9myY{zNT-IgKIVb
O0000Ihlr1om3R&OX77UNmvF?Cr7&&X;=w}PUnQJ4
z4a3jYq-#DMQFtnf=yWrg=lati=<6Nx2IoF&%@@~$XxA}XhaQYw0zn`}>1!5=LR1yl
zl#rQE@|>eed&N|Bi51sC(c~xL77QUeix`E|GaLk5UkxmmWP)LJ@}kpG0Ehq`sIKra
zHhudzL0jTwP(NUEbHZy;BVWpYuV?8m-rOj}pi0xDhh_k)@YI#~%mXPj1Xfl*cA+WJ
zw=WKE#9^ZL54GUFhTK$-;j9$HUn=BY#1AJgXSY}Bx=G!iqqmP;I+YGz4ZSlMOood>
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z?8ia4f{`rc$ft_36hIzR@->XUqsi<;WCGO?WlH~kQp`6eRQu{=OQ}r3DdlxDTEO+H
z7}Z2F2JSm!>;<$*A+XuU(+%#4#3BFRBbgCS!N|=k?Hx1?foa|Q&N%EQ+(0wJl<1uA
zu7*1=!+1}HTkpeNjt3X#c&`;NbF6r(PjjrHVt#+6fBFU5-sp}H21mzmL8carj}`qx
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zSf!_)amIfPfw{0oQw7Jlt&^(K!CLZ;6MqMVFrk$ij6{e6QzN4uD9p`$ErJlnTG4Bf
zATs7)MO1@ejtDkO0fCrHls!~YaQ?>YKIs$sn;HnU8x=ZMJbWX&jXbHzWKNTd=64Ix
z-YNrj8+VhVlO%V1e4g-*XSSdg~Ks-I_v~M=Glh*|$Cm6kgctcMRHbiQp
ztX=S91^tkE5`s!bxZp_L3KKJR&r*aTrcQBzLQ?`k#VV<&N!^;R0gqC|;7Ma@loz&D
zp$LMVyPl+A9kE1;ceL_dEJ%(MXB$#sr!)U7TlQXw{{|^{rd1W~L^u)N<_b60hF)FW
zyPiHp(2W4wS<)d2jU=)#Adj8nF06^0n%TS8Dmr~59xFf
zDj`%(`y!XK!n_HZ`3V_Lgs&m&Ks$`n)pV9+sCC($2tR{h#B-Mmvhy5C#$h5g5O_58
zz<+3T^*O4r8I!GWcT6DMIJbv$eeu<-SPC*F!}z3)%n39{YNt}Ffl!}5LwFJVHT^f6
zf%etSdNQPf?x*k7LeQi=jb6Wqq>_B-^_#A(!vYu)czMrqK^am^1iSUpW0#6F~5Vc7j4mxOfiZA*EffN&y{$L(&
z!X&$o5IPP(7NL^~!7)TPF{kkX0*#FFDuWa4l(zZ_0%^BR6h1cEMCgqsMU~%8J%rK+
zIT3yqVOgH-5mwO--kD-8;%Eczdpc&NJP|ffm7gy}0Cs11=N4=tvIrp?*8wU8g}g-Y
zy3%5+qt~S(Pe!TNqn-?S>u7sc1#2Mip=J#AbX{W2)AD{bJ)>DD+b(Ar!l2B$^xsD!
zO}qzG7{T`frMJ;XjlzH8{yBPkI1%1uTH+m9IMa$t6A#A)f-LHzmNH*S38CQ?9TS}#
z2fvT!s~cTH089a16A&+D?8c>kV^=I+%}r#4CV_aNOe5G)3}l>g#Hg{B>|$l}gulEI
zlt*z7*8aN_c|fOIVEKo&+JU~t$7cjGc+=)jHqxU76b)qa*Q8#LuDXz3alH0{s&k2T
z3dCdLt>0uWi=OOrcZblbAW=1~a4vdw6n707^f`RLC#}W_>+oM_P2Y?eJ#~>OoDGM4
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z8T7N!XcbwJH69
z;;p{q=?nA+MEDbRX+{RmTKdBd57VSuY{+CHrQNZzpJv{C?22YcKBbxWfIOdaJCP#W
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zEO`&3ZF(_IakO18_A3=X&p<|J@Dga+f+H0sA>Mg|0mn^-ww4+
zVyd2c=}rg-z;d-q?<`wkt1=4DWkzu+Z3g0Mc)p|$uw
zKv2|G1>S-Qs7FnAzC{J^;nM%Oh6cP#2g;uy!lCCG?tF=s$e_^*<1aEaz+*!brS!v{
zFVR1sP5%U)G8}_W8Mdafh>vm^>TfqPi?|Wn{lwT1X*VIZ1lmc6O<_(MjsbJZa15C5
z$iPNG+lY>gN8bFFfAWrdS36T-azJo``DJw9lYt%@hELY>Pu?ZzDnn4|9B}GuxHHVR
zqDL73e0n&=A<+EnvTJT+hyY<&3gPEBqxs%@AORw~L}mUNM;RoDkaigErRaH4#;k+*
zY}3bpIb}Eo%qhb$VD>T~{(=p(9n$Z|oqS_DyL83N=F4I>rQ<$XF&(*hOX&}Y@F(ih
zybKn@wjU(?oaWyHer=wul*(inRuQD=4C{nWYv2#_dJ1I_V`v77=n6CLMn&x*uOb+u
zGXi!_I;^r!Q58B+ajvFQhGWo@zV*R@c9^h}A{mCT6aGTUeb|Wu4mFX$Ay?lEJ6Y1V
zqIe2BQAY?nStNse3_C%S!cKzJ_KRUB|BN<$d^%+~2K_l1s=7h$O!ZB-`@qT5dSDxK
zzCYb6NM*a~`uynIA?+vwU<&k)#rE?sW&B7FChCI>I(TyjaM{to#~}f@GBbBd2E%i|
zX_{AhXf+wm9`Yea6bpccG$QYZo!Evc^P9AY4zZ(ji9_d)`(~@G^qo`?AB7v8J0jS?Ju2?d{TcSRU&V
z^i(|j-P7I*)GB@JuDxwHwoCKqdC!Bq=z`NVN*ED&BKoZiA}w&Bf3cAgq-9@5I^>9A
zl`LrAX_2>D%asnAOEM~8iB}n9%%2Oom4PdXMB~F1oDv3gl_BkSKm6(i=*u13MSb_V
z>oslK8D%CvN&7OrFy^5yNsQ1~o(}KnMWd6vqk->A$#rxVe6
zCrpR&ez(JgGMLybG7xh5wf$0oQSkbtGHuwm?lwiT!}###N-d-r&SNN&xu)xKlkX%i
zwtK^Q{>lyAj(@|@W(tKal7T~!t_;KQl@I9OjuT5|xQ>5gxmA?`=x|}kgHsL)qe1*l
z7|&7}uH)Z0v{jYCTx0;5wky?i!D}8A-f^D4azi)c-{>=|Cc|nvP@DdM^Zb=sNPj_w
vjaW}`-LkYc7(l04Zd_U$IU6>YB7yxMAw|=*FnI8*00000NkvXXu0mjfXP)S#

literal 112
zcmeAS@N?(olHy`uVBq!ia0vp^szA)d$jrdNIO*T^2q1?oz$e7@z<~omruOxP%YYPP
zNswPKgTu2MX+VyIr;B3<$IRpv2|o^e*x&fjUclVIz`%on!B&U$UkbnG8=x8nPgg&e
IbxsLQ0N(5#i~s-t

diff --git a/docs/html/img20.png b/docs/html/img20.png
index 2dbb9145890fc4fd861844e5b7411cf8c0b5820b..7e25b47488510c6da07c79d63bd7d21730954911 100644
GIT binary patch
literal 6807
zcmZu$bx<76l3qMm2)ZmTL4&(Hi@OFE*Wk`V2oNL$4elD;T^4tD4-$gAYtZ9&@4dVG
z^kajN?%Gzgap#*}{F4{U7qJ4Oa=qiyCusZB
zJd@NYg;k<@w%aSn$F*<**Sg6iEWG
z@mV^sRhar|y#!~0KWkegfS;-Gw!ETN8_N6lQyq(hyR7J+HhQrzrmrAW5<@>avcl|9
zh=YbH=U9sIH6XP`Fm7{w4f^Sb!kR)kYiT=Q$RLd_j(epU5u)eVgBMKF0|nk#TjUtME6yF<%;FIKIrK#*&%9vZLZ%LN}x7JG=T5$da(;$rq&s
z@8{#nr~^)wt!%-cWDi_l{O-9$9FM$zC}K6RBanQS&IAoNnS
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diff --git a/docs/html/img22.png b/docs/html/img22.png
index 0f8a878c6c6dfc76e68a2d7e3e7e969447c3ebac..e69de29bb2d1d6434b8b29ae775ad8c2e48c5391 100644
GIT binary patch
literal 0
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literal 543
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diff --git a/docs/html/img23.png b/docs/html/img23.png
index c1d195f73426fa3005bb81578db66d785705ef92..e69de29bb2d1d6434b8b29ae775ad8c2e48c5391 100644
GIT binary patch
literal 0
HcmV?d00001

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diff --git a/docs/html/img24.png b/docs/html/img24.png
index da5b9052745ea8472decf14fde59f768ccca60eb..1cde977dcc32c8a55cd65de30bea3af0d1331353 100644
GIT binary patch
literal 478
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literal 0
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diff --git a/docs/html/img26.png b/docs/html/img26.png
index cf98cfe0687e5d392c1b37a6ee07289e80dc5365..976644df9e85cd6b250f64d230ba9da8efe572e9 100644
GIT binary patch
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diff --git a/docs/html/img27.png b/docs/html/img27.png
index 09de5cc5345774f75eb8025e08c631aa0bea759e..b9895904a565f33c6fbc271bd864ca4c8ef8df18 100644
GIT binary patch
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diff --git a/docs/html/img29.png b/docs/html/img29.png
index 9430fcbe698aca4ff4a39e0554606de01496e7f5..02398bc14f3a848883d2d0c94a4e8a6f34b0361a 100644
GIT binary patch
literal 449
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diff --git a/docs/html/img3.png b/docs/html/img3.png
index 81958a74179e129382a380de2f14db712301f919..fa40a0b0677a2e87f31865aef3771ec3d6d01f24 100644
GIT binary patch
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diff --git a/docs/html/img40.png b/docs/html/img40.png
index fc90801217f55222fc19f6d75b0b8dfc3df08658..0b9bf85cc3b53af244ad9216cc5e1dcaf46571e9 100644
GIT binary patch
literal 307
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diff --git a/docs/html/img42.png b/docs/html/img42.png
index 92e6525b83b403a9ee1e4495c718fdbb88b2f341..68e3d16d5cdcaacbf7cf218a0938a9fc81287d78 100644
GIT binary patch
literal 905
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diff --git a/docs/html/img43.png b/docs/html/img43.png
index 83b6d032ead04481bd5899b52c3e07f1b2977484..00dbf7e6bd0c6774f01e93ba39871fa0863ac1fe 100644
GIT binary patch
literal 557
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literal 527
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diff --git a/docs/html/img45.png b/docs/html/img45.png
index 74259acf5eddbd9d5ff8254a60615b5779b7ae92..d91d32f13c2ed0999b8e3ec8c4b2a14660ee1152 100644
GIT binary patch
literal 319
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diff --git a/docs/html/img46.png b/docs/html/img46.png
index daed562ba8a5f804397083964e8c152dd10fe58d..8d80e5be5f613726e0230c12e56da6a1f5dc8047 100644
GIT binary patch
literal 646
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literal 577
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diff --git a/docs/html/img47.png b/docs/html/img47.png
index 507614678dd02efd209ced9ccc386fef7a04d357..0913945f1c3b9cfdc35d7318e850e2ba7f6dfcb6 100644
GIT binary patch
literal 486
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literal 340
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literal 654
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diff --git a/docs/html/img49.png b/docs/html/img49.png
index c6870ddb4f86d303b73ae4e8d33265db13d899c1..3d693307ea71dd0228d9f4c972efc5db0263385a 100644
GIT binary patch
literal 721
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diff --git a/docs/html/img5.png b/docs/html/img5.png
index b2f5b3611b3033bca92784d83334dbf38d737069..c46a3819d8295605bcb24fdf82a8731663c57c5e 100644
GIT binary patch
delta 172
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delta 179
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diff --git a/docs/html/img50.png b/docs/html/img50.png
index 086639b39feb62c55e7efea9a70e343ae1ab9694..418f2429a098774221a98ee03ee1aa4dc9a2593a 100644
GIT binary patch
literal 729
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literal 706
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diff --git a/docs/html/img51.png b/docs/html/img51.png
index 6577cec8d9f181100e232ae77b825838e54033a3..15dbb2d12c354cb75dba2c9510da2e03b4d89b54 100644
GIT binary patch
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diff --git a/docs/html/img52.png b/docs/html/img52.png
index e3ca633abdbe7dd6d8ddf3fb46a3e6b6a4c8834d..9849391fdf1f170a95fe48440f2d24130b790d62 100644
GIT binary patch
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diff --git a/docs/html/img54.png b/docs/html/img54.png
index 6daecc86f4de7c16e1a3fbf61bb09295fe534892..6ea93c9e158c5b49d2460e2259b2599b6866a440 100644
GIT binary patch
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diff --git a/docs/html/img57.png b/docs/html/img57.png
index 919319cce4b55359537d121277b9b1ba501cf31b..09e8cb6ccb3e5119c7d4be4cb0c2a180a8840952 100644
GIT binary patch
literal 228
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diff --git a/docs/html/img66.png b/docs/html/img66.png
index b36bd89cfc7fd0e1396da662fba79cb72b538b3f..d9049fe704d41c1f37c452ace8a94815bb1f1699 100644
GIT binary patch
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diff --git a/docs/html/img67.png b/docs/html/img67.png
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GIT binary patch
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literal 264
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diff --git a/docs/html/img68.png b/docs/html/img68.png
index 4f8dbfd9c895a8f5c464ad6b7f6704c530925850..432763a50ca253fbfbd1258e67b2abe468596e90 100644
GIT binary patch
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diff --git a/docs/html/img69.png b/docs/html/img69.png
index 11b3c242b52f6a9c702792ec59b5db10dc5c7743..0f133fbf4ec185a35b384d2f95a7d129632b89b5 100644
GIT binary patch
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diff --git a/docs/html/img7.png b/docs/html/img7.png
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GIT binary patch
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diff --git a/docs/html/img70.png b/docs/html/img70.png
index 30dbd771877180fddde8e701a246f2ec13d3cea7..e344cde87c47a860e555731c665b094de5ad934e 100644
GIT binary patch
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diff --git a/docs/html/img71.png b/docs/html/img71.png
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GIT binary patch
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diff --git a/docs/html/img72.png b/docs/html/img72.png
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diff --git a/docs/html/img73.png b/docs/html/img73.png
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diff --git a/docs/html/img75.png b/docs/html/img75.png
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diff --git a/docs/html/img76.png b/docs/html/img76.png
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diff --git a/docs/html/img79.png b/docs/html/img79.png
index 337d43ee38ecc038533d98fdc5612abab0714e68..b10c809acb285f9c118c3a533cf697d801509a28 100644
GIT binary patch
literal 350
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literal 363
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diff --git a/docs/html/img80.png b/docs/html/img80.png
index af302e8bd5ef41883df942f6e64bca019c050045..0ee708a9d7060555266e6a88e9b6f799b54c81c7 100644
GIT binary patch
literal 534
zcmV+x0_pvUP);T0000mP)t-sv$M0P
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diff --git a/docs/html/img82.png b/docs/html/img82.png
index ffe4cf524189bc57d269a657af61599198922289..617901509b38311f24b415c75e7f4325c2bfcca9 100644
GIT binary patch
literal 826
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literal 560
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literal 195
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literal 843
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literal 374
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literal 511
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diff --git a/docs/html/img87.png b/docs/html/img87.png
index 4b39f077c786934afb9ec9eb2a0ed7d7288758c2..37a6ec01e3a5b8d17b1e4efacd2268ba850e1cf2 100644
GIT binary patch
literal 243
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literal 370
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literal 273
zcmeAS@N?(olHy`uVBq!ia0vp^qChOi!py+H==QVX1CV17;1l9{;J|_9%a`}|_NJ$&
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diff --git a/docs/html/img89.png b/docs/html/img89.png
index 97c77ca2b50aaad1aa3277592344288f41f40964..7272efa2c532e5eb92cd31f5e240f554d52aec67 100644
GIT binary patch
literal 416
zcmV;R0bl-!P)RHR400001
zbW%=J06^y0W&i*I9!W$&R5*=eV1NM*1|k3(h+qaPCQ3CD;Ar>&wd2DF2KE*FK!yQG
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delta 213
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diff --git a/docs/html/img90.png b/docs/html/img90.png
index f89a8e47a1be3125f20255c0d7ec705fab8e8ddc..d7b63b63c7fdf176e8e6602f86f1cdce6b097253 100644
GIT binary patch
literal 580
zcmV-K0=xZ*P)RHR400001
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diff --git a/docs/html/img91.png b/docs/html/img91.png
index 0802142aadd634ce6e2dee53466cc5f51770142e..1a5e9297ed61d81a301b33d9bf8726d00c688de2 100644
GIT binary patch
literal 319
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P^az8etDnm{r-UW|rkHL!

literal 442
zcmV;r0Y(0aP)BjLjb~?PO-)TFCno>^01XWdw6wIEnwo%sfOK?pT3T8_KtMD!G#VNjY}~9}00001
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ke-vtg#Xl?blCJ-ZZ*Lbua(JC2&;S4c07*qoM6N<$f&u%zJOBUy

diff --git a/docs/html/img92.png b/docs/html/img92.png
index 7ae3977fe3b3fe5fc462b11bef3f78a7d13504ec..a96b5b14ce3a85f2c0cd3951f524563a121e05d9 100644
GIT binary patch
literal 456
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zbW%=J06^y0W&i*H|4BqaR49>SU;qJb28IO;3
 
-
 next 
 up 
 previous 
-
 contents  
 

- Next:  Next: Contents
-       Contents 
 

 

@@ -65,285 +65,310 @@ December 15th, 2011
 
 
 

 

-
  • Communication routines
+
  • Computational routines
 
-
    
+  HREF="node42.html">psb_geamaxs -- Generalized Infinity Norm
 
  • Data management routines
-
+
    
 
  • psb_spall -- Allocates a sparse matrix
+  HREF="node50.html">Communication routines
+
+
    
 
  • psb_geall -- Allocates a dense matrix
+  HREF="node55.html">Data management routines
+
-
    
+  HREF="node70.html">psb_gefree -- Frees a dense matrix
 
  • Parallel environment routines
-
+
    
 
  • psb_min -- Global minimum
+  HREF="node83.html">Parallel environment routines
+
 
    
-
  • Error handling
+
  • Error handling
 
 
    
-
  • Utilities
+
  • Utilities
 
 
    
-
  • Preconditioner routines
+
  • Preconditioner routines
 
 
    
-
  • Iterative Methods
+
  • Iterative Methods
 
 
    
-
  • Bibliography
-
  • About this document ...
+
  • Bibliography
+
  • About this document ...
 
 
 
    
diff --git a/docs/html/node1.html b/docs/html/node1.html
index 6cc53fdf..501f2382 100644
--- a/docs/html/node1.html
+++ b/docs/html/node1.html
@@ -26,21 +26,21 @@ original version by:  Nikos Drakos, CBLU, University of Leeds
 
 
 
-
 next 
-
 up 
-
 previous   
 
    
- Next:  Next: Introduction
- Up:  Up: userhtml
- Previous:  Previous: userhtml
 
    
 
    
@@ -53,54 +53,54 @@ Contents
 
 
 
 
 
    
diff --git a/docs/html/node10.html b/docs/html/node10.html
index 883b07db..fe549154 100644
--- a/docs/html/node10.html
+++ b/docs/html/node10.html
@@ -7,8 +7,8 @@ original version by:  Nikos Drakos, CBLU, University of Leeds
   Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
 
 
-Named Constants
-
+Methods
+
 
 
 
@@ -18,6 +18,7 @@ original version by:  Nikos Drakos, CBLU, University of Leeds
 
 
 
+
 
 
 
@@ -25,73 +26,34 @@ original version by:  Nikos Drakos, CBLU, University of Leeds
 
 
 
-
 next 
-
 up 
-
 previous 
-
 contents  
 
    
- Next: Sparse Matrix data structure
- Up:  Next: get_local_rows   Get
+ Up: Descriptor data structure
- Previous:  Previous: Descriptor data structure
-       Contents 
 
    
 
    
 
 
-
    
-
-
    
-Named Constants
+
    
+Methods
 
    
-
    
-
    psb_none_
    
-
    Generic no-op;
-
    
-
    psb_nohalo_
    
-
    Do not fetch halo elements;
-
    
-
    psb_halo_
    
-
    Fetch halo elements from neighbouring processes;
-
    
-
    psb_sum_
    
-
    Sum overlapped elements
-
    
-
    psb_avg_
    
-
    Average overlapped elements
-
    
-
    psb_comm_halo_
    
-
    Exchange data based on the halo_index
-  list;
-
    
-
    psb_comm_ext_
    
-
    Exchange data based on the ext_index
-  list;
-
    
-
    psb_comm_ovr_
    
-
    Exchange data based on the ovrlap_index
-  list;
-
    
-
    psb_comm_mov_
    
-
    Exchange data based on the ovr_mst_idx
-  list;
-
-
    
-
    
-
    
-
-
    
 
    
 
 
diff --git a/docs/html/node100.html b/docs/html/node100.html
index 86954603..935aac54 100644
--- a/docs/html/node100.html
+++ b/docs/html/node100.html
@@ -7,8 +7,8 @@ original version by:  Nikos Drakos, CBLU, University of Leeds
   Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
 
 
-Preconditioner routines
-
+Error handling
+
 
 
 
@@ -19,56 +19,130 @@ original version by:  Nikos Drakos, CBLU, University of Leeds
 
 
 
-
+
 
 
 
 
 
 
-
 next 
-
 up 
-
 previous 
-
 contents  
 
    
- Next: psb_precinit   Initialize
- Up:  Next: psb_errpush   Pushes
+ Up: userhtml
- Previous: mm_mat_write   Write
-      Previous: psb_rcv   Receive
+     Contents 
 
    
 
    
 
 
-
    
-
-
    
-Preconditioner routines
+
    
+Error handling
 
    
 
 
    
-The base PSBLAS library  contains the implementation of two simple
-preconditioning techniques:
+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.
 
-
      
-
    • Diagonal Scaling
-
      • 
-
    • Block Jacobi with ILU(0) factorization
-
      • 
-
    
-The supporting data type and subroutine interfaces are defined in the
-module  psb_prec_mod.
+
    
+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}
+
    
+
    
 
 
    
 
    
@@ -76,18 +150,44 @@ module  psb_prec_mod.
 Subsections
 
 
 
-
    
+
    
+
+
+next 
+
+up 
+
+previous 
+
+contents  
+
    
+ Next: psb_errpush   Pushes
+ Up: userhtml
+ Previous: psb_rcv   Receive
+     Contents 
+
 
 
 
diff --git a/docs/html/node101.html b/docs/html/node101.html
index e571ced7..f5df1b42 100644
--- a/docs/html/node101.html
+++ b/docs/html/node101.html
@@ -7,8 +7,8 @@ original version by:  Nikos Drakos, CBLU, University of Leeds
   Jens Lippmann, Marek Rouchal, Martin Wilck and others -->
 
 
-psb_precinit -- Initialize a preconditioner
-
+psb_errpush -- Pushes an error code onto the error stack
+
 
 
 
@@ -26,38 +26,39 @@ original version by:  Nikos Drakos, CBLU, University of Leeds
 
 
 
-
 next 
-
 up 
-
 previous 
-
 contents  
 
    
- Next: psb_precbld   Builds
- Up: Preconditioner routines
- Previous: Preconditioner routines
-      Next: psb_error   Prints
+ Up: Error handling
+ Previous: Error handling
+     Contents 
 
    
 
    
 
 
-
    
-psb_precinit -- Initialize a  preconditioner
+
    
+psb_errpush -- Pushes an error code onto the error
+  stack
 
    
 
 
    
 
    -call psb_precinit(prec, ptype, info)
+call psb_errpush(err_c, r_name, i_err, a_err)
 
    
 
 
    
@@ -68,71 +69,46 @@ call psb_precinit(prec, ptype, info)
 
    On Entry
    
 
    
 
    
-
    ptype
    
-
    the type of preconditioner. 
-Scope: global 
+
    err_c
    
+
    the error code
+
    
+Scope: local 
 
    
 Type: required
 
    
 Intent: in.
 
    
-Specified as: a character string, see usage notes.
-
    
-
    On Exit
    
-
    
+Specified as: an integer.
 
    
-
    prec
    
-
    Scope: local 
+
    r_name
    
+
    the soutine where the error has been caught.
+
    
+Scope: local 
 
    
 Type: required
 
    
-Intent: inout.
+Intent: in.
 
    
-Specified as: a preconditioner data structure precdatapsb_prec_type.
-
    
-
    info
    
-
    Scope: global 
+Specified as: a string.
+
    
+
    i_err
    
+
    addional info for error code
 
    
-Type: required
+Scope: local 
 
    
-Intent: out.
+Type: optional
 
    
-Error code: if no error, 0 is returned.
-
    
-
    • -Notes -Legal inputs to this subroutine are interpreted depending on the -$ptype$ string as follows3: -
    -
    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. -
    +Specified as: an integer array +
    +
    a_err
    +
    addional info for error code +
    +Scope: local +
    +Type: optional +
    +Specified as: a string. +

    diff --git a/docs/html/node102.html b/docs/html/node102.html index 36aec719..aea3a015 100644 --- a/docs/html/node102.html +++ b/docs/html/node102.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -psb_precbld -- Builds a preconditioner - +psb_error -- Prints the error stack content and aborts execution + @@ -26,107 +26,59 @@ original version by: Nikos Drakos, CBLU, University of Leeds - next - up - previous - contents
    - Next: psb_precaply Preconditioner - Up: Preconditioner routines - Previous: psb_precinit Initialize -   Next: psb_set_errverbosity Sets + Up: Error handling + Previous: psb_errpush Pushes +   Contents

    -

    -psb_precbld -- Builds a preconditioner +

    +psb_error -- Prints the error stack content and aborts + execution 

    -call psb_precbld(a, desc_a, prec, info)
+call psb_error(icontxt)

    Type:
    -
    Synchronous. +
    Asynchronous.
    On Entry
    -
    a
    -
    the system sparse matrix. -Scope: local +
    icontxt
    +
    the communication context.
    -Type: required +Scope: global
    -Intent: in, target. +Type: optional
    -Specified as: a sparse matrix data structure spdatapsb_spmat_type. -
    -
    prec
    -
    the preconditioner. -
    -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. -
    -
    - -

    -

    -
    On Return
    -
    -
    -
    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. +Intent: in.
    -An integer value; 0 means no error has been detected. +Specified as: an integer.
    diff --git a/docs/html/node103.html b/docs/html/node103.html index 645ffe26..1203e4ff 100644 --- a/docs/html/node103.html +++ b/docs/html/node103.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -psb_precaply -- Preconditioner application routine - +psb_set_errverbosity -- Sets the verbosity of error messages. + @@ -26,125 +26,59 @@ original version by: Nikos Drakos, CBLU, University of Leeds - next - up - previous - contents
    - Next: psb_precdescr Prints - Up: Preconditioner routines - Previous: psb_precbld Builds -   Next: psb_set_erraction Set + Up: Error handling + Previous: psb_error Prints +   Contents

    -

    -psb_precaply -- Preconditioner application routine +

    +psb_set_errverbosity -- Sets the verbosity of error + messages. 

    -call psb_precaply(prec,x,y,desc_a,info,trans,work)
-call psb_precaply(prec,x,desc_a,info,trans)
+call psb_set_errverbosity(v)

    Type:
    -
    Synchronous. +
    Asynchronous.
    On Entry
    -
    prec
    -
    the preconditioner. -Scope: local +
    v
    +
    the verbosity level
    -Type: required -
    -Intent: in. -
    -Specified as: a preconditioner data structure precdatapsb_prec_type. -
    -
    x
    -
    the source vector. -Scope: local -
    -Type: required -
    -Intent: inout. -
    -Specified as: a double precision array. -
    -
    desc_a
    -
    the problem communication descriptor. -Scope: local +Scope: global
    Type: required
    Intent: in.
    -Specified as: a communication data structure descdatapsb_desc_type. -
    -
    trans
    -
    Scope: -
    -Type: optional -
    -Intent: in. -
    -Specified as: a character. -
    -
    work
    -
    an optional work space -Scope: local -
    -Type: optional -
    -Intent: inout. -
    -Specified as: a double precision array. -
    -
    - -

    -

    -
    On Return
    -
    -
    -
    y
    -
    the destination vector. -Scope: local -
    -Type: required -
    -Intent: inout. -
    -Specified as: a double precision array. -
    -
    info
    -
    Error code. -
    -Scope: local -
    -Type: required -
    -Intent: out. -
    -An integer value; 0 means no error has been detected. +Specified as: an integer.
    diff --git a/docs/html/node104.html b/docs/html/node104.html index 021b52e1..80493d57 100644 --- a/docs/html/node104.html +++ b/docs/html/node104.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -psb_precdescr -- Prints a description of current preconditioner - +psb_set_erraction -- Set the type of action to be taken upon error condition. + @@ -25,40 +25,39 @@ original version by: Nikos Drakos, CBLU, University of Leeds - next - up - previous - contents
    - Next: Iterative Methods - Up: Preconditioner routines - Previous: psb_precaply Preconditioner -   Next: Utilities + Up: Error handling + Previous: psb_set_errverbosity Sets +   Contents

    -

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

    +psb_set_erraction -- Set the type of action to be + taken upon error condition. 

    -call psb_precdescr(prec)
-call psb_precdescr(prec, iout)
+call psb_set_erraction(err_act)

    @@ -69,28 +68,25 @@ call psb_precdescr(prec, iout)

    On Entry
    -
    prec
    -
    the preconditioner. -Scope: local +
    err_act
    +
    the type of action.
    -Type: required -
    -Intent: in. -
    -Specified as: a preconditioner data structure precdatapsb_prec_type. -
    -
    iout
    -
    output unit. -Scope: local +Scope: global
    -Type: optiona +Type: required
    Intent: in.
    -Specified as: an integer number. +Specified as: an integer. Possible values: psb_act_ret, +psb_act_abort.
    +

    +

    +call psb_errcomm(icontxt, err)
+
    +


    diff --git a/docs/html/node105.html b/docs/html/node105.html index 3ba7a91c..8d385f3b 100644 --- a/docs/html/node105.html +++ b/docs/html/node105.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -Iterative Methods - +Utilities + @@ -18,7 +18,7 @@ original version by: Nikos Drakos, CBLU, University of Leeds - + @@ -26,41 +26,41 @@ original version by: Nikos Drakos, CBLU, University of Leeds - next - up - previous - contents
    - Next: psb_krylov Krylov - Up: Next: hb_read Read + Up: userhtml - Previous: psb_precdescr Prints -   Previous: psb_set_erraction Set +   Contents

    -

    - +

    +
    -Iterative Methods +Utilities

    -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. +We have some utitlities available for input and output of +sparsematrices; the interfaces to these routines are available in the +module psb_util_mod.


    @@ -68,9 +68,21 @@ the module psb_krylov_mod. Subsections
    diff --git a/docs/html/node106.html b/docs/html/node106.html index 12954c0f..0a0cda8c 100644 --- a/docs/html/node106.html +++ b/docs/html/node106.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -psb_krylov -- Krylov Methods Driver Routine - +hb_read -- Read a sparse matrix from a file in the Harwell-Boeing format + @@ -18,6 +18,7 @@ original version by: Nikos Drakos, CBLU, University of Leeds + @@ -25,363 +26,129 @@ original version by: Nikos Drakos, CBLU, University of Leeds - next - up - previous - contents
    - Next: Bibliography - Up: Iterative Methods - Previous: Iterative Methods -   Next: hb_write Write + Up: Utilities + Previous: Utilities +   Contents

    -

    -
    -psb_krylov -- Krylov Methods Driver - Routine +

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

    -

    -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 is the normwise backward error, in the infinity -norm, i.e. 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} -
    -
    -

    -or the 2-norm residual reduction -

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

    -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 $i$-th iteration. - 

    -call psb_krylov(method,a,prec,b,x,eps,desc_a,info,&
-     & itmax,iter,err,itrace,irst,istop,cond)
+call hb_read(a, iret, iunit, filename, b, mtitle)

    Type:
    -
    Synchronous. +
    Asynchronous.
    -
    On Entry
    +
    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; - -

    -

    -
    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_spmat_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. -
    -
    x
    -
    The initial guess. -
    -Scope: local -
    -Type: required -
    -Intent: inout. -
    -Specified as: a rank one array. -
    -
    eps
    -
    The stopping tolerance. -
    -Scope: global -
    -Type: required -
    -Intent: in. -
    -Specified as: a real number. -
    -
    desc_a
    -
    contains data structures for communications. -
    -Scope: local +
    filename
    +
    The name of the file to be read.
    -Type: required +Type:optional.
    -Intent: in. -
    -Specified as: a structured data of type descdatapsb_desc_type. +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: -.
    -
    itmax
    -
    The maximum number of iterations to perform. -
    -Scope: global -
    -Type: optional +
    iunit
    +
    The Fortran file unit number.
    -Intent: in. +Type:optional.
    -Default: $itmax = 1000$. -
    -Specified as: an integer variable $itmax \ge 1$. +Specified as: an integer value. Only meaningful if filename is not -.
    -
    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. Default: 2. -
    +
    On Return
    -
    x
    -
    The computed solution. -
    -Scope: local -
    -Type: required -
    -Intent: inout. -
    -Specified as: a rank one array. -
    -
    iter
    -
    The number of iterations performed. -
    -Scope: global -
    -Type: optional +
    a
    +
    the sparse matrix read from file.
    -Intent: out. +Type:required.
    -Returned as: an integer variable. +Specified as: a structured data of type spdatapsb_spmat_type.
    -
    err
    -
    The convergence estimate on exit. -
    -Scope: global -
    -Type: optional +
    b
    +
    Rigth hand side(s).
    -Intent: out. +Type: Optional
    -Returned as: a real number. +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.
    -
    cond
    -
    An estimate of the condition number of matrix $A$; only - available with the $CG$ method. -
    -Scope: global -
    -Type: optional +
    mtitle
    +
    Matrix title.
    -Intent: out. +Type: Optional
    -Returned as: a real number. +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.
    -
    info
    +
    iret
    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 -   Next: hb_write Write + Up: Utilities + Previous: Utilities +   Contents diff --git a/docs/html/node107.html b/docs/html/node107.html index d9949883..15cb9b1d 100644 --- a/docs/html/node107.html +++ b/docs/html/node107.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -Bibliography - +hb_write -- Write a sparse matrix to a file in the Harwell-Boeing format + @@ -19,157 +19,147 @@ original version by: Nikos Drakos, CBLU, University of Leeds - - + + - next - + up - previous - contents
    - Next: About this document ... - Up: userhtml - Previous: psb_krylov Krylov -   Next: mm_mat_read Read + Up: Utilities + Previous: hb_read Read +   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 + +

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

    -

    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. +
    +call hb_write(a, iret, iunit, filename, key, rhs, mtitle)
+

    -

    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, +
    +
    Type:
    +
    Asynchronous. +
    +
    On Entry
    +
    +
    +
    a
    +
    the sparse matrix to be written.
    -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, +Type:required.
    -ACM Transactions on Mathematical Software, to appear. -

    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 -
    -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. -

    14 -
    -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. - -

    -

    15 -
    -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. -

    16 -
    -Metcalf, M., Reid, J. and Cohen, M. -Fortran 95/2003 explained. -Oxford University Press, 2004. -

    17 -
    -Rouson, D.W.I., Xia, J., Xu, X.: Scientific Software Design: The - Object-Oriented Way. Cambridge University Press (2011) +Specified as: a structured data of type spdatapsb_spmat_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. +
    +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 Unix jargon) is used. Default: -. +
    +
    iunit
    +
    The Fortran file unit number. +
    +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. +
    +

    -

    18 +
    +
    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. +
    +
    iret
    +
    Error code. +
    +Type: required +
    +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/node108.html b/docs/html/node108.html index 1789a129..55238a8b 100644 --- a/docs/html/node108.html +++ b/docs/html/node108.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -About this document ... - +mm_mat_read -- Read a sparse matrix from a file in the MatrixMarket format + @@ -18,52 +18,97 @@ original version by: Nikos Drakos, CBLU, University of Leeds + - + + -next - + +next + up - previous - contents
    - Up: userhtml - Previous: Bibliography -   Next: mm_vet_read Read + Up: Utilities + Previous: hb_write Write +   Contents

    -

    -About this document ... -

    -

    -This document was generated using the -LaTeX2HTML translator Version 2008 (1.71) +

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

    + +

    +

    +call mm_mat_read(a, iret, iunit, filename)
+
    +

    -Copyright © 1993, 1994, 1995, 1996, -Nikos Drakos, -Computer Based Learning Unit, University of Leeds. +

    +
    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.
    -Copyright © 1997, 1998, 1999, -Ross Moore, -Mathematics Department, Macquarie University, Sydney. +Specified as: an integer value. Only meaningful if filename is not -. +
    +
    +

    -The command line arguments were:
    - latex2html -local_icons -noaddress -dir ../../html userhtml.tex +

    +
    On Return
    +
    +
    +
    a
    +
    the sparse matrix read from file. +
    +Type:required. +
    +Specified as: a structured data of type spdatapsb_spmat_type. +
    +
    iret
    +
    Error code. +
    +Type: required +
    +An integer value; 0 means no error has been detected. +
    +
    +

    -The translation was initiated by Salvatore Filippone on 2011-12-16

    diff --git a/docs/html/node109.html b/docs/html/node109.html index 7c873f92..477bd497 100644 --- a/docs/html/node109.html +++ b/docs/html/node109.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -About this document ... - +mm_vet_read -- Read a dense vector from a file in the MatrixMarket format + @@ -18,52 +18,98 @@ original version by: Nikos Drakos, CBLU, University of Leeds + - + + -next - + +next + up - previous - contents
    - Up: userhtml - Previous: Bibliography -   Next: mm_mat_write Write + Up: Utilities + Previous: mm_mat_read Read +   Contents

    -

    -About this document ... -

    -

    -This document was generated using the -LaTeX2HTML translator Version 2008 (1.71) +

    +mm_vet_read -- Read a dense vector from a + file in the MatrixMarket format +

    + +
    +call mm_vet_read(b, iret, iunit, filename)
+
    +

    -Copyright © 1993, 1994, 1995, 1996, -Nikos Drakos, -Computer Based Learning Unit, University of Leeds. +

    +
    Type:
    +
    Asynchronous. +
    +
    On Entry
    +
    +
    +
    filename
    +
    The name of the file to be read. +
    +Type:optional.
    -Copyright © 1997, 1998, 1999, -Ross Moore, -Mathematics Department, Macquarie University, Sydney. +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 -. +
    +
    +

    -The command line arguments were:
    - latex2html -local_icons -noaddress -dir ../../html userhtml.tex +

    +
    On Return
    +
    +
    +
    b
    +
    Rigth hand side(s). +
    +Type: required +
    +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. +
    +
    iret
    +
    Error code. +
    +Type: required +
    +An integer value; 0 means no error has been detected. +
    +
    +

    -The translation was initiated by Salvatore Filippone on 2011-12-15

    diff --git a/docs/html/node11.html b/docs/html/node11.html index 555c4e71..bc95bcd6 100644 --- a/docs/html/node11.html +++ b/docs/html/node11.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -Sparse Matrix data structure - +get_local_rows -- Get number of local rows + @@ -18,242 +18,84 @@ original version by: Nikos Drakos, CBLU, University of Leeds - - - + + + - next - + up - previous - contents
    - Next: Named Constants - Up: Data Structures - Previous: Named Constants -   Next: get_local_cols Get + Up: Descriptor data structure + Previous: Methods +   Contents

    -

    - -
    -Sparse Matrix data structure -

    -The spdatapsb_spmat_type data structure -contains all information about the local portion of the sparse matrix and -its storage mode. Most of these fields are set by the tools -routines when inserting a new sparse matrix; the user needs only -choose, if he/she so whishes, a specific matrix storage mode. +

    +get_local_rows -- Get number of local rows +

    + +

    +

    +nr = desc%get_local_rows()
+

    -The

    -
    aspk
    -
    Contains values of the local distributed sparse -matrix. -
    -Specified as: an allocatable array of rank one of type corresponding -to matrix entries type. -
    -
    ia1
    -
    Holds integer information on distributed sparse -matrix. Actual information will depend on data format used. -
    -Specified as: an allocatable integer array of rank one. -
    -
    ia2
    -
    Holds integer information on distributed sparse -matrix. Actual information will depend on data format used. -
    -Specified as: an allocatable integer array of rank one. +
    Type:
    +
    Asynchronous.
    -
    infoa
    -
    On entry can hold auxiliary information on distributed sparse -matrix. Actual information will depend on data format used. -
    -Specified as: an integer array of length psb_ifasize_. -
    -
    fida
    -
    Defines the format of the distributed sparse matrix. -
    -Specified as: a string of length 5 +
    On Entry
    +
    -
    descra
    -
    Describe the characteristic of the distributed sparse matrix. +
    desc
    +
    the communication descriptor.
    -Specified as: array of character of length 9. -
    -
    pl
    -
    Specifies the local row permutation of distributed sparse -matrix. If pl(1) is equal to 0, then there isn't row permutation. -
    -Specified as: an allocatable integer array of dimension equal to number of local row (matrix_data[psb_n_row_]) -
    -
    pr
    -
    Specifies the local column permutation of distributed sparse -matrix. If PR(1) is equal to 0, then there isn't columnm permutation. -
    -Specified as: an allocatable integer array of dimension equal to number of -local row (matrix_data[psb_n_col_]) -
    -
    m
    -
    Number of rows; if row indices are stored explicitly, -as in Coordinate Storage, should be greater than or equal to the -maximum row index actually present in the sparse matrix. -Specified as: integer variable. -
    -
    k
    -
    Number of columns; if column indices are stored explicitly, -as in Coordinate Storage or Compressed Sparse Rows, should be greater -than or equal to the maximum column index actually present in the sparse matrix. -Specified as: integer variable. -
    +Scope: local. +
    -The Fortran 95 interface for distributed sparse matrices containing -double precision real entries is defined as shown in -figure 4. The definitions for single precision and -complex data are identical except for the real declaration and -for the kind type parameter. - -
    - - - -
    Figure 4: - The PSBLAS defined data type that - contains a sparse matrix.
    -
    - -
    - -\fbox{\TheSbox} -
    -

    -The following two cases are among the most commonly used:

    -
    fida=``CSR''
    -
    Compressed storage by rows. In this case the -following should hold: - -
      -
    1. ia2(i) contains the index of the first element of row -i; the last element of the sparse matrix is thus stored at -index $ia2(m+1)-1$. It should contain m+1 entries in -nondecreasing order (strictly increasing, if there are no empty rows). -
      2. -
    2. ia1(j) contains the column index and aspk(j) -contains the corresponding coefficient value, for all -$ia2(1) \le j -\le ia2(m+1)-1$. -
      3. -
    +
    On Return
    +
    -
    fida=``COO''
    -
    Coordinate storage. In this case the following -should hold: - -
      -
    1. infoa(1) contains the number of nonzero elements in the -matrix; -
      2. -
    2. For all $1 \le j \le infoa(1)$, the coefficient, row index and -column index are stored into apsk(j), ia1(j) and -ia2(j) respectively. -
      3. -
    -
    -
    -A sparse matrix has an associated state, which can take the following -values: -
    -
    Build:
    -
    State entered after the first allocation, and before the - first assembly; in this state it is possible to add nonzero entries. -
    -
    Assembled:
    -
    State entered after the assembly; computations using - the sparse matrix, such as matrix-vector products, are only possible - in this state; -
    -
    Update:
    -
    State entered after a reinitalization; this is used to - handle applications in which the same sparsity pattern is used - multiple times with different coefficients. In this state it is only - possible to enter coefficients for already existing nonzero entries. + WIDTH="70" HEIGHT="32" ALIGN="MIDDLE" BORDER="0" + SRC="img10.png" + ALT="$\vert{\cal I}_i\vert + \vert{\cal B}_i\vert$">. The returned value is + specific to the calling process.
    -
    - -Subsections - - -
    - - -next - -up - -previous - -contents -
    - Next: Named Constants - Up: Data Structures - Previous: Named Constants -   Contents - +

    +

    diff --git a/docs/html/node110.html b/docs/html/node110.html index ae8679c7..36d5648a 100644 --- a/docs/html/node110.html +++ b/docs/html/node110.html @@ -1,96 +1,114 @@ - -psb_precdescr -- Prints a description of current preconditioner - +mm_mat_write -- Write a sparse matrix to a file in the MatrixMarket format + - + - - + - -next - -up - + +up + -previous - + -contents +contents
    - Next: Iterative Methods - Up: userhtml - Previous: psb_precaply Preconditioner -   Next: Preconditioner routines + Up: Utilities + Previous: mm_vet_read Read +   Contents

    -

    -psb_precdescr -- Prints a description of current - preconditioner -

    - -

    -ifstarssyntaxsyntaxcall psb_precdescrprec -ifstarssyntaxsyntax*call psb_precdescrprec, iout +

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

    -

    +

    +call mm_mat_write(a, mtitle, iret, iunit, filename)
+
    Type:
    Asynchronous.
    -
    On Entry
    +
    On Entry
    -
    prec
    -
    the preconditioner. -Scope: local +
    a
    +
    the sparse matrix to be written. +
    +Type:required.
    -Type: required +Specified as: a structured data of type spdatapsb_spmat_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.
    -Intent: in. +Type:optional.
    -Specified as: a preconditioner data structure precdatapsb_prec_type. +Specified as: a character variable containing a valid file name, or +-, in which case the default output unit 6 (i.e. standard output +in Unix jargon) is used. Default: -.
    -
    iout
    -
    output unit. -Scope: local +
    iunit
    +
    The Fortran file unit number.
    -Type: optiona +Type:optional. +
    +Specified as: an integer value. Only meaningful if filename is not -. +
    +
    + +

    +

    +
    On Return
    +
    +
    +
    iret
    +
    Error code.
    -Intent: in. +Type: required
    -Specified as: an integer number. +An integer value; 0 means no error has been detected.
    diff --git a/docs/html/node111.html b/docs/html/node111.html index 95cd3349..2abd518e 100644 --- a/docs/html/node111.html +++ b/docs/html/node111.html @@ -1,73 +1,93 @@ - -Iterative Methods - +Preconditioner routines + - + - - + + - -next - + -up - + -previous - + -contents +contents
    - Next: psb_krylov Krylov - Up: Next: psb_precinit Initialize + Up: userhtml - Previous: psb_precdescr Prints -   Previous: mm_mat_write Write +   Contents

    -

    - +

    +
    -Iterative Methods +Preconditioner routines

    -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. +The base PSBLAS library contains the implementation of two simple +preconditioning techniques: + +

      +
    • Diagonal Scaling +
      • +
    • Block Jacobi with ILU(0) factorization +
      • +
    +The supporting data type and subroutine interfaces are defined in the +module psb_prec_mod.


    + +Subsections + + + +
    diff --git a/docs/html/node112.html b/docs/html/node112.html index 68e007fe..7b925e19 100644 --- a/docs/html/node112.html +++ b/docs/html/node112.html @@ -1,393 +1,142 @@ - -psb_krylov -- Krylov Methods Driver Routine - +psb_precinit -- Initialize a preconditioner + - + - + - -next - -up - + -previous - + +previous + -contents -
    - Next: Bibliography - Up: userhtml - Previous: Iterative Methods -   +
    + Next: psb_precbld Builds + Up: Preconditioner routines + Previous: Preconditioner routines +   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 is the normwise backward error, in the infinity -norm, i.e. 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} -
    -
    -

    -or the 2-norm residual reduction -

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

    -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 $i$-th iteration. +

    +psb_precinit -- Initialize a preconditioner +

    -ifstarssyntaxsyntaxcall psb_krylovmethod,a,prec,b,x,eps,desc_a,info,itmax,iter,err,itrace,irst,istop,cond +

    +call psb_precinit(prec, ptype, info)
+

    Type:
    -
    Synchronous. +
    Asynchronous.
    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; - -

    -

    -
    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_spmat_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. -
    -
    x
    -
    The initial guess. -
    -Scope: local -
    -Type: required -
    -Intent: inout. -
    -Specified as: a rank one array. -
    -
    eps
    -
    The stopping tolerance. -
    +
    ptype
    +
    the type of preconditioner. Scope: global
    Type: required
    Intent: in.
    -Specified as: a real number. +Specified as: a character string, see usage notes.
    -
    desc_a
    -
    contains data structures for communications. -
    -Scope: local -
    -Type: required -
    -Intent: in. -
    -Specified as: a structured data of type descdatapsb_desc_type. +
    On Exit
    +

    -
    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. Default: 2. -
    -
    On Return
    -
    -
    -
    x
    -
    The computed solution. -
    -Scope: local +
    prec
    +
    Scope: local
    Type: required
    Intent: inout.
    -Specified as: a rank one array. -
    -
    iter
    -
    The number of iterations performed. -
    -Scope: global -
    -Type: optional -
    -Intent: out. -
    -Returned as: an integer variable. +Specified as: a preconditioner data structure precdatapsb_prec_type.
    -
    err
    -
    The convergence estimate on exit. -
    -Scope: global +
    info
    +
    Scope: global
    -Type: optional +Type: required
    Intent: out.
    -Returned as: a real number. +Error code: if no error, 0 is returned.
    -
    cond
    -
    An estimate of the condition number of matrix +Notes +Legal inputs to this subroutine are interpreted depending on the +$ptype$ string as follows3: +
    +
    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 $A$; only - available with the $CG$ method. -
    -Scope: global -
    -Type: optional -
    -Intent: out. -
    -Returned as: a real number. + ALT="$A$">;
    -
    info
    -
    Error code. -
    -Scope: local -
    -Type: required -
    -Intent: out. -
    -An integer value; 0 means no error has been detected. +
    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.

    - -

    - -

    -

    - - -next - -up - -previous - -contents -
    - Next: Bibliography - Up: userhtml - Previous: Iterative Methods -   Contents - +
    diff --git a/docs/html/node113.html b/docs/html/node113.html index 290203c3..41d372b2 100644 --- a/docs/html/node113.html +++ b/docs/html/node113.html @@ -1,158 +1,133 @@ - -Bibliography - +psb_precbld -- Builds a preconditioner + - + - + - -next - -up - + +up + -previous - + -contents -
    - Next: About this document ... - Up: userhtml - Previous: psb_krylov Krylov -   +
    + Next: psb_precaply Preconditioner + Up: Preconditioner routines + Previous: psb_precinit Initialize +   Contents -

    +
    +
    - -

    -Bibliography -

    + +

    +psb_precbld -- Builds a preconditioner +

    +

    -

    1 -
    -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. -

    2 -
    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 -

    3 -
    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. +
    +call psb_precbld(a, desc_a, prec, info)
+

    -

    4 -
    - 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. -

    5 -
    - 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. -

    6 -
    -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). -

    7 +
    +
    Type:
    +
    Synchronous. +
    +
    On Entry
    -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. -

    8 -
    -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. -

    9 -
    -S. Filippone and M. Colajanni, -PSBLAS: A Library for Parallel Linear Algebra -Computation on Sparse Matrices, +
    +
    a
    +
    the system sparse matrix. +Scope: local
    -ACM Transactions on Mathematical Software, 26(4), pp. 527-550, 2000. -

    10 -
    -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. -

    11 -
    -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. -

    12 -
    -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. +Type: required +
    +Intent: in, target. +
    +Specified as: a sparse matrix data structure spdatapsb_spmat_type. +
    +
    prec
    +
    the preconditioner. +
    +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. +
    +

    -

    13 -
    -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. -

    14 -
    -Metcalf, M., Reid, J. and Cohen, M. -Fortran 95/2003 explained. -Oxford University Press, 2004. -

    15 +
    +
    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. +
    +
    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. +

    diff --git a/docs/html/node114.html b/docs/html/node114.html index 8ddb1a93..eb8eb791 100644 --- a/docs/html/node114.html +++ b/docs/html/node114.html @@ -1,73 +1,154 @@ - -About this document ... - +psb_precaply -- Preconditioner application routine + - + + - + + -next - -up - +next + +up + -previous - + -contents -
    - Up: userhtml - Previous: Bibliography -   +
    + Next: psb_precdescr Prints + Up: Preconditioner routines + Previous: psb_precbld Builds +   Contents

    -

    -About this document ... -

    -

    -This document was generated using the -LaTeX2HTML translator Version 2002-2-1 (1.71) +

    +psb_precaply -- Preconditioner application routine +

    + +

    +

    +call psb_precaply(prec,x,y,desc_a,info,trans,work)
+call psb_precaply(prec,x,desc_a,info,trans)
+
    +

    -Copyright © 1993, 1994, 1995, 1996, -Nikos Drakos, -Computer Based Learning Unit, University of Leeds. +

    +
    Type:
    +
    Synchronous. +
    +
    On Entry
    +
    +
    +
    prec
    +
    the preconditioner. +Scope: local +
    +Type: required +
    +Intent: in. +
    +Specified as: a preconditioner data structure precdatapsb_prec_type. +
    +
    x
    +
    the source vector. +Scope: local +
    +Type: required +
    +Intent: inout. +
    +Specified as: a double precision array. +
    +
    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
    -Copyright © 1997, 1998, 1999, -Ross Moore, -Mathematics Department, Macquarie University, Sydney. +Intent: in. +
    +Specified as: a character. +
    +
    work
    +
    an optional work space +Scope: local +
    +Type: optional +
    +Intent: inout. +
    +Specified as: a double precision array. +
    +
    +

    -The command line arguments were:
    - latex2html -noaddress -dir ../../html userhtml.tex +

    +
    On Return
    +
    +
    +
    y
    +
    the destination vector. +Scope: local +
    +Type: required +
    +Intent: inout. +
    +Specified as: a double precision array. +
    +
    info
    +
    Error code. +
    +Scope: local +
    +Type: required +
    +Intent: out. +
    +An integer value; 0 means no error has been detected. +
    +
    +

    -The translation was initiated by Salvatore Filippone on 2008-07-24

    diff --git a/docs/html/node115.html b/docs/html/node115.html index 012ff547..a81962e6 100644 --- a/docs/html/node115.html +++ b/docs/html/node115.html @@ -1,6 +1,6 @@ - - -next - -up - + +up + -previous - + -contents +contents
    - Next: Next:     Iterative Methods - Up: Preconditioner routines - Previous: Up:     Preconditioner routines + Previous: psb_precaply Preconditioner -   Contents

    -

    +

    psb_precdescr -- Prints a description of current preconditioner

    -ifstarssyntaxsyntaxcall psb_precdescrprec -ifstarssyntaxsyntax*call psb_precdescrprec, iout +

    +call psb_precdescr(prec)
+call psb_precdescr(prec, iout)
+

    diff --git a/docs/html/node116.html b/docs/html/node116.html index 0216e1fa..91d965f5 100644 --- a/docs/html/node116.html +++ b/docs/html/node116.html @@ -1,6 +1,6 @@ - - -next - + -up - + -previous - + -contents +contents
    - Next: Next: psb_krylov Krylov - Up: Up: userhtml - Previous: Previous: psb_precdescr Prints -   Contents

    -

    +


    Iterative Methods @@ -72,7 +68,7 @@ the module psb_krylov_mod. Subsections diff --git a/docs/html/node117.html b/docs/html/node117.html index d647571f..c3c86d3a 100644 --- a/docs/html/node117.html +++ b/docs/html/node117.html @@ -1,6 +1,6 @@ - - -next - + -up - + -previous - + -contents +contents
    - Next: Next: Bibliography - Up: Up: Iterative Methods - Previous: Previous: Iterative Methods -   Contents

    -

    +


    psb_krylov -- Krylov Methods Driver Routine @@ -77,7 +73,7 @@ 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}
    @@ -93,26 +89,29 @@ err = \frac{\|r_i\|}{\|b\|_2} < eps \begin{displaymath}err = \frac{\Vert r_i\Vert}{\Vert b\Vert _2} < eps \end{displaymath}

    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 $i$-th iteration.

    -ifstarssyntaxsyntaxcall psb_krylovmethod,a,prec,b,x,eps,desc_a,info,itmax,iter,err,itrace,irst,istop,cond +

    +call psb_krylov(method,a,prec,b,x,eps,desc_a,info,&
+     & itmax,iter,err,itrace,irst,istop,cond)
+

    @@ -233,23 +232,23 @@ 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 @@ -268,8 +267,8 @@ Type: optional. Intent: in.
    Values: $irst>0$. This is employed for the BiCGSTABL or RGMRES methods, otherwise it is ignored. @@ -330,7 +329,7 @@ Returned as: a real number. ALT="$A$">; only available with the $CG$ method.
    Scope: global @@ -358,33 +357,31 @@ An integer value; 0 means no error has been detected.

    +

    +

    - -next - + -up - + -previous - + -contents +contents
    - Next: Next: Bibliography - Up: Up: Iterative Methods - Previous: Previous: Iterative Methods -   Contents diff --git a/docs/html/node118.html b/docs/html/node118.html index bddfca28..21313b13 100644 --- a/docs/html/node118.html +++ b/docs/html/node118.html @@ -1,6 +1,6 @@ - - -next - + -up - + -previous - + -contents +contents
    - Next: Next: About this document ... - Up: Up: userhtml - Previous: Previous: psb_krylov Krylov -   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 +

    -

    1 +

    2
    G. Bella, S. Filippone, A. De Maio and M. Testa, A Simulation Model for Forest Fires, @@ -66,12 +67,12 @@ 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. -

    2 +

    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 -

    3 +

    4
    P. D'Ambra, S. Filippone, D. Di Serafino
    On the Development of PSBLAS-based Parallel Two-level Schwarz Preconditioners
    @@ -79,42 +80,48 @@ Applied Numerical Mathematics, Elsevier Science, Volume 57, Issues 11-12, November-December 2007, Pages 1181-1196.

    -

    4 +

    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. -

    5 +

    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. -

    6 +

    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). -

    7 +

    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. -

    8 +

    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. -

    9 +

    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. -

    10 +

    11 +
    +S. Filippone and A. Buttari, +Object-Oriented Techniques for Sparse Matrix Computations in Fortran 2003, +
    +ACM Transactions on Mathematical Software, to appear. +

    12
    S. Filippone, P. D'Ambra, M. Colajanni, Using a Parallel Library of Sparse Linear Algebra in a Fluid Dynamics @@ -122,7 +129,15 @@ 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. -

    11 +

    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 @@ -130,25 +145,31 @@ Karypis, G. and Kumar, V., Minneapolis, MN 55455: University of Minnesota, Department of Computer Science, 1995. Internet Address: http://www.cs.umn.edu/~karypis. -

    12 +

    15
    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.

    -

    13 +

    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. -

    14 +

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

    15 +

    18 +
    +Rouson, D.W.I., Xia, J., Xu, X.: Scientific Software Design: The + Object-Oriented Way. Cambridge University Press (2011) + +

    +

    19
    M. Snir, S. Otto, S. Huss-Lederman, D. Walker and J. Dongarra, MPI: The Complete Reference. Volume 1 - The MPI Core, second edition, diff --git a/docs/html/node119.html b/docs/html/node119.html index 4e3b8779..e533d93e 100644 --- a/docs/html/node119.html +++ b/docs/html/node119.html @@ -1,6 +1,6 @@ - -next - + -up - + -previous - + -contents +contents
    - Up: Up: userhtml - Previous: Previous: Bibliography -   Contents

    -

    +

    About this document ...

    This document was generated using the -LaTeX2HTML translator Version 2002-2-1 (1.71) +LaTeX2HTML translator Version 2008 (1.71)

    Copyright © 1993, 1994, 1995, 1996, Nikos Drakos, @@ -65,9 +61,9 @@ Copyright © 1997, 1998, 1999, Mathematics Department, Macquarie University, Sydney.

    The command line arguments were:
    - latex2html -noaddress -dir ../../html userhtml.tex + latex2html -local_icons -noaddress -dir ../../html userhtml.tex

    -The translation was initiated by Salvatore Filippone on 2008-07-24 +The translation was initiated by Salvatore Filippone on 2012-01-24

    diff --git a/docs/html/node12.html b/docs/html/node12.html index 8825b9cc..2c8f5469 100644 --- a/docs/html/node12.html +++ b/docs/html/node12.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -Named Constants - +get_local_cols -- Get number of local cols + @@ -18,63 +18,80 @@ original version by: Nikos Drakos, CBLU, University of Leeds + - + - next - + up - previous - contents
    - Next: Dense Vector Data Structure - Up: Sparse Matrix data structure - Previous: Sparse Matrix data structure -   Next: get_global_rows Get + Up: Descriptor data structure + Previous: get_local_rows Get +   Contents

    -

    - -
    -Named Constants +

    +get_local_cols -- Get number of local cols

    + +

    +

    +nc = desc%get_local_cols()
+
    + +

    -
    psb_dupl_ovwrt_
    -
    Duplicate coefficients should be overwritten - (i.e. ignore duplications) +
    On Entry
    +
    -
    psb_dupl_add_
    -
    Duplicate coefficients should be added; +
    Type:
    +
    Asynchronous.
    -
    psb_dupl_err_
    -
    Duplicate coefficients should trigger an error conditino -
    -
    psb_upd_dflt_
    -
    Default update strategy for matrix coefficients; -
    -
    psb_upd_srch_
    -
    Update strategy based on search into the data structure; +
    desc
    +
    the communication descriptor. +
    +Scope: local. +
    +
    + +

    +

    +
    On Return
    +
    -
    psb_upd_perm_
    -
    Update strategy based on additional - permutation data (see tools routine description). +
    Function value
    +
    The number of local cols, i.e. the number of + indices used by the current process, including both local and halo + indices; as explained in 1, + it is equal to +$\vert{\cal I}_i\vert + \vert{\cal B}_i\vert +\vert{\cal H}_i\vert$. The + returned value is specific to the calling process.
    diff --git a/docs/html/node13.html b/docs/html/node13.html index b854d547..92b4f110 100644 --- a/docs/html/node13.html +++ b/docs/html/node13.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -Dense Vector Data Structure - +get_global_rows -- Get number of global rows + @@ -19,49 +19,73 @@ original version by: Nikos Drakos, CBLU, University of Leeds - - + + - next - + up - previous - contents
    - Next: Preconditioner data structure - Up: Data Structures - Previous: Named Constants -   Next: get_global_cols Get + Up: Descriptor data structure + Previous: get_local_cols Get +   Contents

    -

    - -
    -Dense Vector Data Structure -

    -The vdatapsb_vect_type data structure -contains all information about local portion of the sparse matrix and -its storage mode. Most of these fields are set by the tools -routines when inserting a new sparse matrix; the user needs only -choose, if he/she so whishes, a specific matrix storage mode. +

    +get_global_rows -- Get number of global rows +

    + +

    +

    +nr = desc%get_global_rows()
+
    + +

    +

    +
    On Entry
    +
    +
    +
    Type:
    +
    Asynchronous. +
    +
    desc
    +
    the communication descriptor.
    +Scope: local. +
    +
    + +

    +

    +
    On Return
    +
    +
    +
    Function value
    +
    The number of global rows, i.e. the size of the + global index space. +
    +
    +


    diff --git a/docs/html/node14.html b/docs/html/node14.html index f01a0035..f7851f0b 100644 --- a/docs/html/node14.html +++ b/docs/html/node14.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -Preconditioner data structure - +get_global_cols -- Get number of global cols + @@ -18,79 +18,72 @@ original version by: Nikos Drakos, CBLU, University of Leeds - - + - next - + up - previous - contents
    - Next: Data structure query routines - Up: Data Structures - Previous: Dense Vector Data Structure -   Next: get_context Get communication context + Up: Descriptor data structure + Previous: get_global_rows Get +   Contents

    -

    - -
    -Preconditioner data structure -

    -Our base library offers support for simple well known preconditioners -like Diagonal Scaling or Block Jacobi with incomplete -factorization ILU(0). +

    +get_global_cols -- Get number of global cols +

    -A preconditioner is held in the precdata psb_prec_type data structure reported in -figure 5. The psb_prec_type -data type may contain a simple preconditioning matrix with the -associated communication descriptor.The values contained in -the iprcparm and rprcparm define tha type of -preconditioner along with all the parameters related to it; thus, -iprcparm and rprcparm define how the other records have -to be interpreted. This data structure is the basis of more complex -preconditioning strategies, which are the subject of further -research. - -

    - - - -
    Figure 5: -The PSBLAS defined data type that contains a preconditioner.

    +
    +nr = desc%get_global_cols()
+
    +

    +

    +
    Type:
    +
    Asynchronous. +
    +
    On Entry
    +
    +
    +
    desc
    +
    the communication descriptor.
    - -     -
    -\fbox{\TheSbox}
    -
    -
    +Scope: local. +
    +
    + +

    +

    +
    On Return
    +
    +
    +
    Function value
    +
    The number of global cols; usually this is equal + to the number of global rows. +
    +


    diff --git a/docs/html/node15.html b/docs/html/node15.html index 719ee509..d2114c6d 100644 --- a/docs/html/node15.html +++ b/docs/html/node15.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -Data structure query routines - +get_context--Get communication context + @@ -18,57 +18,87 @@ original version by: Nikos Drakos, CBLU, University of Leeds - - + + - next - up - previous - contents
    - Next: get_local_rows Get - Up: Data Structures - Previous: Preconditioner data structure -   Next: psb_cd_get_large_threshold Get + Up: Data Structures and Classes + Previous: get_global_cols Get +   Contents

    -

    - -
    -Data structure query routines +

    +
    +get_context--Get communication context +

    +
    +ictxt = desc%get_context()
+
    + +

    +

    +
    Type:
    +
    Asynchronous. +
    +
    On Entry
    +
    +
    +
    desc
    +
    the communication descriptor. +
    +Scope: local. +
    +
    + +

    +

    +
    On Return
    +
    +
    +
    Function value
    +
    The communication context. +
    +
    + +


    Subsections
    diff --git a/docs/html/node16.html b/docs/html/node16.html index cbf0d441..8eb32729 100644 --- a/docs/html/node16.html +++ b/docs/html/node16.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -get_local_rows -- Get number of local rows - +psb_cd_get_large_threshold -- Get threshold for index mapping switch + @@ -26,38 +26,38 @@ original version by: Nikos Drakos, CBLU, University of Leeds - next - up - previous - contents
    - Next: get_local_cols Get - Up: Data structure query routines - Previous: Data structure query routines -   Next: psb_cd_set_large_threshold Set + Up: get_context Get communication context + Previous: get_context Get communication context +   Contents

    -

    -get_local_rows -- Get number of local rows +

    +psb_cd_get_large_threshold -- Get threshold for + index mapping switch

    -

    -nr = desc%get_local_rows()
+ith = psb_cd_get_large_threshold()

    @@ -65,38 +65,13 @@ nr = desc%get_local_rows()

    Type:
    Asynchronous.
    -
    On Entry
    -
    -
    -
    desc
    -
    the communication descriptor. -
    -Scope: local. -
    -Type: required. -
    -Intent: in. -
    -Specified as: a structured data of type descdatapsb_desc_type. -
    -
    - -

    -

    On Return
    Function value
    -
    The number of local rows, i.e. the number of - rows owned by the current process; as explained in 1, - it is equal to -$\vert{\cal I}_i\vert + \vert{\cal B}_i\vert$. The returned value is - specific to the calling process. +
    The current value for the size threshold. + +

    diff --git a/docs/html/node17.html b/docs/html/node17.html index 4f29c33d..46dfba63 100644 --- a/docs/html/node17.html +++ b/docs/html/node17.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -get_local_cols -- Get number of local cols - +psb_cd_set_large_threshold -- Set threshold for index mapping switch + @@ -26,80 +26,65 @@ original version by: Nikos Drakos, CBLU, University of Leeds - next - up - previous - contents
    - Next: get_global_rows Get - Up: Data structure query routines - Previous: get_local_rows Get -   Next: Named Constants + Up: get_context Get communication context + Previous: psb_cd_get_large_threshold Get +   Contents

    -

    -get_local_cols -- Get number of local cols +

    +psb_cd_set_large_threshold -- Set threshold for + index mapping switch

    -

    -nc = desc%get_local_cols()
+call psb_cd_set_large_threshold(ith)

    +
    Type:
    +
    Synchronous. +
    On Entry
    -
    Type:
    -
    Asynchronous. -
    -
    desc
    -
    the communication descriptor. +
    ith
    +
    the new threshold for communication descriptors.
    -Scope: local. +Scope: global.
    Type: required.
    Intent: in.
    -Specified as: a structured data of type descdatapsb_desc_type. -
    -
    - -

    -

    -
    On Return
    -
    -
    -
    Function value
    -
    The number of local cols, i.e. the number of - indices used by the current process, including both local and halo - indices; as explained in 1, - it is equal to -$\vert{\cal I}_i\vert + \vert{\cal B}_i\vert +\vert{\cal H}_i\vert$. The - returned value is specific to the calling process. +Specified as: an integer value greater than zero.
    +Note: the threshold value is only queried by the library at the time a +call to psb_cdall is executed, therefore changing the threshold +has no effect on communication descriptors that have already been +initialized. Moreover the threshold must have the same value on all +processes.


    diff --git a/docs/html/node18.html b/docs/html/node18.html index a642776c..d34af5ef 100644 --- a/docs/html/node18.html +++ b/docs/html/node18.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -get_global_rows -- Get number of global rows - +Named Constants + @@ -18,7 +18,6 @@ original version by: Nikos Drakos, CBLU, University of Leeds - @@ -26,68 +25,69 @@ original version by: Nikos Drakos, CBLU, University of Leeds - next - up - previous - contents
    - Next: get_global_cols Get - Up: Data structure query routines - Previous: get_local_cols Get -   Next: Sparse Matrix class + Up: get_context Get communication context + Previous: psb_cd_set_large_threshold Set +   Contents

    -

    -get_global_rows -- Get number of global rows +

    + +
    +Named Constants

    - -

    -

    -nr = desc%get_global_rows()
-
    - -

    -
    On Entry
    -
    +
    psb_none_
    +
    Generic no-op;
    -
    Type:
    -
    Asynchronous. +
    psb_nohalo_
    +
    Do not fetch halo elements;
    -
    desc
    -
    the communication descriptor. -
    -Scope: local. -
    -Type: required. -
    -Intent: in. -
    -Specified as: a structured data of type descdatapsb_desc_type. +
    psb_halo_
    +
    Fetch halo elements from neighbouring processes;
    -
    +
    psb_sum_
    +
    Sum overlapped elements +
    +
    psb_avg_
    +
    Average overlapped elements +
    +
    psb_comm_halo_
    +
    Exchange data based on the halo_index + list; +
    +
    psb_comm_ext_
    +
    Exchange data based on the ext_index + list; +
    +
    psb_comm_ovr_
    +
    Exchange data based on the ovrlap_index + list; +
    +
    psb_comm_mov_
    +
    Exchange data based on the ovr_mst_idx + list;

    -

    -
    On Return
    -
    -
    -
    Function value
    -
    The number of global rows in the mesh
    diff --git a/docs/html/node19.html b/docs/html/node19.html index bb56ea20..7cf80586 100644 --- a/docs/html/node19.html +++ b/docs/html/node19.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -get_global_cols -- Get number of global cols - +Sparse Matrix class + @@ -18,80 +18,179 @@ original version by: Nikos Drakos, CBLU, University of Leeds - - + + + - next - + up - previous - contents
    - Next: get_context Get communication context - Up: Data structure query routines - Previous: get_global_rows Get -   Next: Methods + Up: Data Structures and Classes + Previous: Named Constants +   Contents

    -

    -get_global_cols -- Get number of global cols -

    - -

    -

    -nr = desc%get_global_cols()
-
    - -

    +

    + +
    +Sparse Matrix class +

    +The spdatapsb_spmat_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 +in [11]; the type declaration is shown in +figure 4 where T is a placeholder for the +data type and precision variants
    -
    Type:
    -
    Asynchronous. +
    S
    +
    Single precision real;
    -
    On Entry
    -
    +
    D
    +
    Double precision real;
    -
    desc
    -
    the communication descriptor. -
    -Scope: local. -
    -Type: required. -
    -Intent: in. -
    -Specified as: a structured data of type descdatapsb_desc_type. +
    C
    +
    Single precision complex; +
    +
    Z
    +
    Double precision complex.
    +The actual data is contained in the polymorphic component a%a; its +specific layout can be chosen dynamically among the predefined types, +or an entirely new storage layout can be implemented and passed to the +library at runtime via the psb_spasb routine. -

    +

    + + + +
    Figure 4: + The PSBLAS defined data type that + contains a sparse matrix.
    +
    + +
    + +\fbox{\TheSbox} +
    +
    +The following very common formats are precompiled in PSBLAS and thus +are always available: +
    +
    psb_T_coo_sparse_mat
    +
    Coordinate storage; +
    +
    psb_T_csr_sparse_mat
    +
    Compressed storage by rows; +
    +
    psb_T_csc_sparse_mat
    +
    Compressed storage by columns; +
    +
    +The inner sparse matrix has an associated state, which can take the +following values:
    -
    On Return
    -
    +
    Build:
    +
    State entered after the first allocation, and before the + first assembly; in this state it is possible to add nonzero entries.
    -
    Function value
    -
    The number of global cols in the mesh +
    Assembled:
    +
    State entered after the assembly; computations using + the sparse matrix, such as matrix-vector products, are only possible + in this state; +
    +
    Update:
    +
    State entered after a reinitalization; this is used to + handle applications in which the same sparsity pattern is used + multiple times with different coefficients. In this state it is only + possible to enter coefficients for already existing nonzero entries.
    +The only storage variant supporting the build state is COO; all other +variants are obtained by conversion to/from it.


    + +Subsections + + + +
    + + +next + +up + +previous + +contents +
    + Next: Methods + Up: Data Structures and Classes + Previous: Named Constants +   Contents + diff --git a/docs/html/node2.html b/docs/html/node2.html index b3003ade..c8d7c660 100644 --- a/docs/html/node2.html +++ b/docs/html/node2.html @@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds - next - up - previous - contents
    - Next: Next: General overview - Up: Up: userhtml - Previous: Previous: Contents -   Contents

    @@ -69,11 +69,11 @@ addresses a distributed memory execution model operating with message passing.

    -The PSBLAS library version 3 is internally implemented in +The PSBLAS library version 3 is implemented in the Fortran 2003 [16] programming language, with reuse and/or - adaptation of some existing Fortran 77 software, and a handful of C - routines. + HREF="node118.html#metcalf">17] programming language, with reuse and/or + adaptation of existing Fortran 77 and Fortran 95 software, plus a + handful of C routines.

    The use of Fortran 2003 offers a number of advantages over Fortran 95, @@ -81,11 +81,11 @@ 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="node118.html#Sparse03">11]; other works discussing advanced programming in Fortran 2003 include [1,17]; sufficient support for + HREF="node118.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 4.6). @@ -94,7 +94,7 @@ 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. [15]. Moreover, the Fortran 95 facilities for dynamic + HREF="node118.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 @@ -105,12 +105,12 @@ 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="node118.html#sblas97">8,9], which in its turn is based on the proposal for BLAS on dense matrices [14,5,6]. + HREF="node118.html#BLAS1">15,5,6].

    The applicability of sparse iterative solvers to many different areas @@ -144,26 +144,26 @@ computational fluid dynamics applications.

    - next - up - previous - contents
    - Next: Next: General overview - Up: Up: userhtml - Previous: Previous: Contents -   Contents diff --git a/docs/html/node20.html b/docs/html/node20.html index f8312f99..97335261 100644 --- a/docs/html/node20.html +++ b/docs/html/node20.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -get_context--Get communication context - +Methods + @@ -18,99 +18,42 @@ original version by: Nikos Drakos, CBLU, University of Leeds - - + + + - next - + up - previous - contents
    - Next: psb_cd_get_large_threshold Get - Up: Data Structures - Previous: get_global_cols Get -   Next: get_nrows Get + Up: Sparse Matrix class + Previous: Sparse Matrix class +   Contents

    -

    -
    -get_context--Get communication context -
     -

    -
    -ictxt = desc%get_context()
-
    - -

    -

    -
    Type:
    -
    Asynchronous. -
    -
    On Entry
    -
    -
    -
    desc
    -
    the communication descriptor. -
    -Scope: local. -
    -Type: required. -
    -Intent: in. -
    -Specified as: a structured data of type descdatapsb_desc_type. -
    -
    - -

    -

    -
    On Return
    -
    -
    -
    Function value
    -
    The communication context. -
    -
    - -

    -

    - -Subsections - - - +

    +Methods +


    diff --git a/docs/html/node21.html b/docs/html/node21.html index 42155ebc..8351372e 100644 --- a/docs/html/node21.html +++ b/docs/html/node21.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -psb_cd_get_large_threshold -- Get threshold for index mapping switch - +get_nrows -- Get number of rows in a sparse matrix + @@ -20,44 +20,44 @@ original version by: Nikos Drakos, CBLU, University of Leeds - + - next - + up - previous - contents
    - Next: psb_cd_set_large_threshold Set - Up: get_context Get communication context - Previous: get_context Get communication context -   Next: get_ncols Get + Up: Sparse Matrix class + Previous: Methods +   Contents

    -

    -psb_cd_get_large_threshold -- Get threshold for - index mapping switch +

    +get_nrows -- Get number of rows in a sparse matrix

    +

    -ith = psb_cd_get_large_threshold()
+nr = a%get_nrows()

    @@ -65,13 +65,23 @@ ith = psb_cd_get_large_threshold()

    Type:
    Asynchronous.
    -
    On Return
    +
    On Entry
    -
    Function value
    -
    The current value for the size threshold. +
    a
    +
    the sparse matrix +
    +Scope: local +
    +

    +

    +
    On Return
    +
    +
    +
    Function value
    +
    The number of rows of sparse matrix a.
    diff --git a/docs/html/node22.html b/docs/html/node22.html index 0ad007a6..bbefbf9a 100644 --- a/docs/html/node22.html +++ b/docs/html/node22.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -psb_cd_set_large_threshold -- Set threshold for index mapping switch - +get_ncols -- Get number of columns in a sparse matrix + @@ -20,44 +20,44 @@ original version by: Nikos Drakos, CBLU, University of Leeds - + - next - + up - previous - contents
    - Next: get_nrows Get - Up: get_context Get communication context - Previous: psb_cd_get_large_threshold Get -   Next: get_nnzeros Get + Up: Sparse Matrix class + Previous: get_nrows Get +   Contents

    -

    -psb_cd_set_large_threshold -- Set threshold for - index mapping switch +

    +get_ncols -- Get number of columns in a sparse matrix

    +

    -call psb_cd_set_large_threshold(ith)
+nc = a%get_ncols()

    @@ -68,21 +68,22 @@ call psb_cd_set_large_threshold(ith)

    On Entry
    -
    ith
    -
    the new threshold for communication descriptors. -
    -Scope: global. -
    -Type: required. +
    a
    +
    the sparse matrix
    -Intent: in. -
    -Specified as: an integer value greater than zero. +Scope: local +
    + + +

    +

    +
    On Return
    +
    +
    +
    Function value
    +
    The number of columns of sparse matrix a.
    -Note: the threshold value is only queried by the library at the time a -call to psb_cdall is executed, therefore changing the threshold -has no effect on communication descriptors that have already been initialized.


    diff --git a/docs/html/node23.html b/docs/html/node23.html index 15da1733..8aff9f6c 100644 --- a/docs/html/node23.html +++ b/docs/html/node23.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -get_nrows -- Get number of rows in a sparse matrix - +get_nnzeros -- Get number of nonzero elements in a sparse matrix + @@ -20,44 +20,45 @@ original version by: Nikos Drakos, CBLU, University of Leeds - + - next - + up - previous - contents
    - Next: get_ncols Get - Up: get_context Get communication context - Previous: psb_cd_set_large_threshold Set -   Next: get_size Get + Up: Sparse Matrix class + Previous: get_ncols Get +   Contents

    -

    -get_nrows -- Get number of rows in a sparse matrix +

    +get_nnzeros -- Get number of nonzero elements + in a sparse matrix 

    -nr = a%get_nrows()
+nz = a%get_nnzeros()

    @@ -72,13 +73,7 @@ nr = a%get_nrows()

    the sparse matrix
    Scope: local -
    -Type: required -
    -Intent: in. -
    -Specified as: a structured data of type spdatapsb_spmat_type. -
    +

    @@ -87,10 +82,20 @@ Specified as: a structured data of type spdatapsb_spmat_type.

    Function value
    -
    The number of rows of sparse matrix a. +
    The number of nonzero elements stored in sparse matrix a.
    +

    +Notes + +

      +
    1. The function value is specific to the storage format of matrix + a; some storage formats employ padding, thus the returned + value for the same matrix may be different for different storage choices. +
      2. +
    +


    diff --git a/docs/html/node24.html b/docs/html/node24.html index 91915427..065398ed 100644 --- a/docs/html/node24.html +++ b/docs/html/node24.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -get_ncols -- Get number of columns in a sparse matrix - +get_size -- Get maximum number of nonzero elements in a sparse matrix + @@ -20,44 +20,45 @@ original version by: Nikos Drakos, CBLU, University of Leeds - + - next - + up - previous - contents
    - Next: get_nnzeros Get - Up: get_context Get communication context - Previous: get_nrows Get -   Next: sizeof Get + Up: Sparse Matrix class + Previous: get_nnzeros Get +   Contents

    -

    -get_ncols -- Get number of columns in a sparse matrix +

    +get_size -- Get maximum number of nonzero elements + in a sparse matrix 

    -nr = a%get_ncols()
+maxnz = a%get_size()

    @@ -72,13 +73,7 @@ nr = a%get_ncols()

    the sparse matrix
    Scope: local -
    -Type: required -
    -Intent: in. -
    -Specified as: a structured data of type spdatapsb_spmat_type. -
    +

    @@ -87,7 +82,8 @@ Specified as: a structured data of type spdatapsb_spmat_type.

    Function value
    -
    The number of columns of sparse matrix a. +
    The maximum number of nonzero elements that can + be stored in sparse matrix a using its current memory allocation.
    diff --git a/docs/html/node25.html b/docs/html/node25.html index 9ea89d12..7fb161a5 100644 --- a/docs/html/node25.html +++ b/docs/html/node25.html @@ -7,8 +7,10 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -get_nnzeros -- Get number of nonzero elements in a sparse matrix - +sizeof -- Get memory occupation in bytes +of a sparse matrix + @@ -18,46 +20,47 @@ original version by: Nikos Drakos, CBLU, University of Leeds + - + - next - + up - previous - contents
    - Next: Computational routines - Up: get_context Get communication context - Previous: get_ncols Get -   Next: get_fmt Short + Up: Sparse Matrix class + Previous: get_size Get +   Contents

    -

    -get_nnzeros -- Get number of nonzero elements - in a sparse matrix +

    +sizeof -- Get memory occupation in bytes +of a sparse matrix 

    -nr = a%get_nnzeros()
+memory_size = a%sizeof()

    @@ -72,13 +75,7 @@ nr = a%get_nnzeros()

    the sparse matrix
    Scope: local -
    -Type: required -
    -Intent: in. -
    -Specified as: a structured data of type spdatapsb_spmat_type. -
    +

    @@ -87,20 +84,10 @@ Specified as: a structured data of type spdatapsb_spmat_type.

    Function value
    -
    The number of nonzero elements stored in sparse matrix a. +
    The memory occupation in bytes.
    -

    -Notes - -

      -
    1. The function value is specific to the storage format of matrix - a; some storage formats employ padding, thus the returned - value for the same matrix may be different for different storage choices. -
      2. -
    -


    diff --git a/docs/html/node26.html b/docs/html/node26.html index 7c467b4c..27fd36d8 100644 --- a/docs/html/node26.html +++ b/docs/html/node26.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -Computational routines - +get_fmt -- Short description of the dynamic type + @@ -18,75 +18,76 @@ original version by: Nikos Drakos, CBLU, University of Leeds - - - + + + - next - + up - previous - contents
    - Next: psb_geaxpby General - Up: userhtml - Previous: get_nnzeros Get -   Next: is_bld, is_upd, is_asb + Up: Sparse Matrix class + Previous: sizeof Get +   Contents

    -

    -Computational routines -

    +

    +get_fmt -- Short description of the dynamic type +

    -

    - -Subsections +
    +write(*,*) a%get_fmt()
+
    + +

    +

    +
    Type:
    +
    Asynchronous. +
    +
    On Entry
    +
    +
    +
    a
    +
    the sparse matrix +
    +Scope: local +
    +
    + +

    +

    +
    On Return
    +
    +
    +
    Function value
    +
    A short string describing the dynamic type of + the matrix. Predefined values include NULL, COO, + CSR and CSC. +
    +
    - - +


    diff --git a/docs/html/node27.html b/docs/html/node27.html index f8c7c410..be2ad8d8 100644 --- a/docs/html/node27.html +++ b/docs/html/node27.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -psb_geaxpby -- General Dense Matrix Sum - +is_bld, is_upd, is_asb -- Status check + @@ -20,202 +20,61 @@ original version by: Nikos Drakos, CBLU, University of Leeds - + - next - + up - previous - contents
    - Next: psb_gedot Dot - Up: Computational routines - Previous: Computational routines -   Next: Named Constants + Up: Sparse Matrix class + Previous: get_fmt Short +   Contents

    -

    -psb_geaxpby -- General Dense Matrix Sum -

    - -

    -This subroutine is an interface to the computational kernel for -dense matrix sum: -

    -
    - - -\begin{displaymath}y \leftarrow \alpha\> x+ \beta y \end{displaymath} -
    -
    -

    +

    +is_bld, is_upd, is_asb -- Status check +

    -call psb_geaxpby(alpha, x, beta, y, desc_a, info)
+if (a%is_bld()) then 
+if (a%is_upd()) then 
+if (a%is_asb()) then
    -

    -

    -
    - - - -
    Table 1: -Data types
    -
    - - - - - - - - - - - - - - - - -
    $x$, $y$, $\alpha$, $\beta$Subroutine
    Short Precision Realpsb_geaxpby
    Long Precision Realpsb_geaxpby
    Short Precision Complexpsb_geaxpby
    Long Precision Complexpsb_geaxpby
    -
    -
    -

    -
    -

    Type:
    -
    Synchronous. +
    Asynchronous.
    On Entry
    -
    alpha
    -
    the scalar $\alpha$. -
    -Scope: global -
    -Type: required -
    -Intent: in. -
    -Specified as: a number of the data type indicated in Table 1. -
    -
    x
    -
    the local portion of global dense matrix -$x$. -
    -Scope: local -
    -Type: required -
    -Intent: in. -
    -Specified as: a rank one or two array -containing numbers of type -specified in Table 1. The rank of $x$ must be the same of $y$. -
    -
    beta
    -
    the scalar $\beta$. -
    -Scope: global -
    -Type: required -
    -Intent: in. -
    -Specified as: a number of the data type indicated in Table 1. -
    -
    y
    -
    the local portion of the global dense matrix -$y$. -
    -Scope: local -
    -Type: required -
    -Intent: inout. -
    -Specified as: a rank one or two array containing numbers of the type -indicated in Table 1. The rank of $y$ must be the same of $x$. -
    -
    desc_a
    -
    contains data structures for communications. +
    a
    +
    the sparse matrix
    -Scope: local -
    -Type: required -
    -Intent: in. -
    -Specified as: a structured data of type descdatapsb_desc_type. - -

    -

    +Scope: local +

    @@ -223,59 +82,14 @@ Specified as: a structured data of type descdatapsb_desc_type.

    On Return
    -
    y
    -
    the local portion of result submatrix $y$. -
    -Scope: local -
    -Type: required -
    -Intent: inout. -
    -Specified as: a rank one or two array containing numbers of the type -indicated in Table 1. -
    -
    info
    -
    Error code. -
    -Scope: local -
    -Type: required -
    -Intent: out. -
    -An integer value; 0 means no error has been detected. +
    Function value
    +
    A logical value indicating whether the + matrix is in the Build, Update or Assembled state, respectively.

    -

    - - -next - -up - -previous - -contents -
    - Next: psb_gedot Dot - Up: Computational routines - Previous: Computational routines -   Contents - +
    diff --git a/docs/html/node28.html b/docs/html/node28.html index 2152c782..b3fc272e 100644 --- a/docs/html/node28.html +++ b/docs/html/node28.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -psb_gedot -- Dot Product - +Named Constants + @@ -18,263 +18,68 @@ original version by: Nikos Drakos, CBLU, University of Leeds - - + - next - + up - previous - contents
    - Next: psb_gedots Generalized - Up: Computational routines - Previous: psb_geaxpby General -   Next: Dense Vector Data Structure + Up: Sparse Matrix class + Previous: is_bld, is_upd, is_asb +   Contents

    -

    -psb_gedot -- Dot Product -

    - -

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

    +
    -If $x$ and $y$ are real vectors -it computes dot-product as: -

    -
    - - -\begin{displaymath}dot \leftarrow x^T y\end{displaymath} -
    -
    -

    -Else if $x$ and $y$ are complex vectors then it computes dot-product as: -

    -
    - - -\begin{displaymath}dot \leftarrow x^H y\end{displaymath} -
    -
    -

    - -

    -

    -psb_gedot(x, y, desc_a, info)
-
    -

    -
    - - - -
    Table 2: -Data types
    -
    - - - - - - - - - - - - - - - - -
    $dot$, $x$, $y$Function
    Short Precision Realpsb_gedot
    Long Precision Realpsb_gedot
    Short Precision Complexpsb_gedot
    Long Precision Complexpsb_gedot
    -
    -
    -

    -
    - -

    +Named Constants +

    -
    Type:
    -
    Synchronous. +
    psb_dupl_ovwrt_
    +
    Duplicate coefficients should be overwritten + (i.e. ignore duplications)
    -
    On Entry
    -
    +
    psb_dupl_add_
    +
    Duplicate coefficients should be added;
    -
    x
    -
    the local portion of global dense matrix -$x$. -
    -Scope: local -
    -Type: required -
    -Intent: in. -
    -Specified as: an array of rank one or two -containing numbers of type specified in -Table 2. The rank of $x$ must be the same of $y$. +
    psb_dupl_err_
    +
    Duplicate coefficients should trigger an error conditino
    -
    y
    -
    the local portion of global dense matrix -$y$. -
    -Scope: local -
    -Type: required -
    -Intent: in. -
    -Specified as: an array of rank one or two -containing numbers of type specified in -Table 2. The rank of $y$ must be the same of $x$. +
    psb_upd_dflt_
    +
    Default update strategy for matrix coefficients;
    -
    desc_a
    -
    contains data structures for communications. -
    -Scope: local -
    -Type: required -
    -Intent: in. -
    -Specified as: a structured data of type descdatapsb_desc_type. - -

    -

    -
    On Return
    -
    +
    psb_upd_srch_
    +
    Update strategy based on search into the data structure;
    -
    Function value
    -
    is the dot product of subvectors $x$ and $y$. -
    -Scope: global -
    -Specified as: a number of the data type indicated in Table 2. -
    -
    info
    -
    Error code. -
    -Scope: local -
    -Type: required -
    -Intent: out. -
    -An integer value; 0 means no error has been detected. +
    psb_upd_perm_
    +
    Update strategy based on additional + permutation data (see tools routine description).

    -

    - - -next - -up - -previous - -contents -
    - Next: psb_gedots Generalized - Up: Computational routines - Previous: psb_geaxpby General -   Contents - +
    diff --git a/docs/html/node29.html b/docs/html/node29.html index 970d2717..779d33ec 100644 --- a/docs/html/node29.html +++ b/docs/html/node29.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -psb_gedots -- Generalized Dot Product - +Dense Vector Data Structure + @@ -18,247 +18,139 @@ original version by: Nikos Drakos, CBLU, University of Leeds - - - + + + - next - + up - previous - contents
    - Next: psb_geamax Infinity-Norm - Up: Computational routines - Previous: psb_gedot Dot -   Next: Methods + Up: Data Structures and Classes + Previous: Named Constants +   Contents

    -

    -psb_gedots -- Generalized Dot Product -

    - -

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

    -
    - - -\begin{displaymath}res(i) \leftarrow x(:,i)^T y(:,i)\end{displaymath} -
    -
    -

    -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. - -

    -

    -call psb_gedots(res, x, y, desc_a, info)
-
    -

    -
    - - - -
    Table 3: -Data types
    -
    - - - - - - - - - - - - - - - - -
    $res$, $x$, $y$Subroutine
    Short Precision Realpsb_gedots
    Long Precision Realpsb_gedots
    Short Precision Complexpsb_gedots
    Long Precision Complexpsb_gedots
    -
    -
    -

    +

    +
    +Dense Vector Data Structure +

    +The vdatapsb_vect_type data structure +encapsulates the dense vectors in a way similar to sparse matrices. +The user will not, in general, access the vector components directly, +but rather via the routines of sec. 6. Among other +simple things, we define here an extraction method that can be used to +get a full copy of the part of the vector stored on the local +process.

    +The type declaration is shown in +figure 5 where T is a placeholder for the +data type and precision variants

    -
    Type:
    -
    Synchronous. +
    I
    +
    Integer;
    -
    On Entry
    -
    +
    S
    +
    Single precision real;
    -
    x
    -
    the local portion of global dense matrix -$x$. -
    -Scope: local -
    -Type: required -
    -Intent: in. -
    -Specified as: an array of rank one or two -containing numbers of type specified in -Table 3. The rank of $x$ must be the same of $y$. +
    D
    +
    Double precision real;
    -
    y
    -
    the local portion of global dense matrix -$y$. -
    -Scope: local -
    -Type: required -
    -Intent: in. -
    -Specified as: an array of rank one or two -containing numbers of type specified in -Table 3. The rank of $y$ must be the same of $x$. +
    C
    +
    Single precision complex;
    -
    desc_a
    -
    contains data structures for communications. -
    -Scope: local -
    -Type: required -
    -Intent: in. -
    -Specified as: a structured data of type descdatapsb_desc_type. -
    -
    On Return
    -
    -
    -
    res
    -
    is the dot product of subvectors $x$ and $y$. -
    -Scope: global -
    -Intent: out. -
    -Specified as: a number or a rank-one array of the data type indicated -in Table 2. -
    -
    info
    -
    Error code. -
    -Scope: local -
    -Type: required -
    -Intent: out. -
    -An integer value; 0 means no error has been detected. +
    Z
    +
    Double precision complex.
    +The actual data is contained in the polymorphic component a%a; its +specific layout can be chosen dynamically among the predefined types, +or an entirely new storage layout can be implemented and passed to the +library at runtime via the psb_spasb routine. + +
    + + + +
    Figure 5: + The PSBLAS defined data type that + contains a dense vector..
    +
    + +
    + +\fbox{\TheSbox} +
    +

    +

    + +Subsections + + +
    - next - + up - previous - contents
    - Next: psb_geamax Infinity-Norm - Up: Computational routines - Previous: psb_gedot Dot -   Next: Methods + Up: Data Structures and Classes + Previous: Named Constants +   Contents diff --git a/docs/html/node3.html b/docs/html/node3.html index 0e7a9c7a..214fe0da 100644 --- a/docs/html/node3.html +++ b/docs/html/node3.html @@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds - next - up - previous - contents
    - Next: Next: Basic Nomenclature - Up: Up: userhtml - Previous: Previous: Introduction -   Contents

    @@ -78,31 +78,28 @@ 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="node118.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. +further details on our communication layer see Sec. 7.

    -

    +
    Figure 1: PSBLAS library components hierarchy.
    \includegraphics[scale=0.65]{figures/psblas.eps} - \rotatebox{-90}{\includegraphics[scale=0.65]{figures/psblas}} + ALT="\includegraphics[scale=0.65]{figures/psblas}">
    @@ -137,7 +134,7 @@ equation indices to processes. In particular it is consistent with the usage of graph partitioning tools commonly available in the literature, e.g. METIS [13]. + HREF="node118.html#METIS">14]. Dense vectors conform to sparse matrices, that is, the entries of a vector follow the same distribution of the matrix rows. @@ -148,7 +145,7 @@ process generates its own portion. We never require that the entire matrix be available on a single node. However, it is possible to hold the entire matrix in one process and distribute it explicitly1, even though the resulting + HREF="footnode.html#foot166">1, even though the resulting memory bottleneck would make this option unattractive in most cases.

    @@ -157,38 +154,38 @@ bottleneck would make this option unattractive in most cases. Subsections

    - next - up - previous - contents
    - Next: Next: Basic Nomenclature - Up: Up: userhtml - Previous: Previous: Introduction -   Contents diff --git a/docs/html/node30.html b/docs/html/node30.html index f69ad8e2..f7d48c1d 100644 --- a/docs/html/node30.html +++ b/docs/html/node30.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -psb_geamax -- Infinity-Norm of Vector - +Methods + @@ -20,225 +20,41 @@ original version by: Nikos Drakos, CBLU, University of Leeds - + - next - + up - previous - contents
    - Next: psb_geamaxs Generalized - Up: Computational routines - Previous: psb_gedots Generalized -   Next: get_nrows Get + Up: Dense Vector Data Structure + Previous: Dense Vector Data Structure +   Contents

    -

    -psb_geamax -- Infinity-Norm of Vector -

    - -

    -This function computes - the infinity-norm of a vector $x$. -
    -If $x$ is a real vector -it computes infinity norm as: -

    -
    - - -\begin{displaymath}amax \leftarrow \max_i \vert x_i\vert\end{displaymath} -
    -
    -

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

    -
    - - -\begin{displaymath}amax \leftarrow \max_i {(\vert re(x_i)\vert + \vert im(x_i)\vert)}\end{displaymath} -
    -
    -

    - -

    -

    -psb_geamax(x, desc_a, info)
-
    - -

    -

    -
    - - - -
    Table 4: -Data types
    -
    - - - - - - - - - - - - - - - - - - - - - -
    $amax$$x$Function
    Short Precision RealShort Precision Realpsb_geamax
    Long Precision RealLong Precision Realpsb_geamax
    Short Precision RealShort Precision Complexpsb_geamax
    Long Precision RealLong Precision Complexpsb_geamax
    -
    -
    -

    -
    - -

    -

    -
    Type:
    -
    Synchronous. -
    -
    On Entry
    -
    -
    -
    x
    -
    the local portion of global dense matrix -$x$. - -
    -Scope: local -
    -Type: required -
    -Intent: in. -
    -Specified as: a rank one or two array -containing numbers of type specified in -Table 4. -
    -
    desc_a
    -
    contains data structures for communications. -
    -Scope: local -
    -Type: required -
    -Intent: in. -
    -Specified as: a structured data of type descdatapsb_desc_type. - -

    -

    -
    On Return
    -
    -
    -
    Function value
    -
    is the infinity norm of subvector $x$. -
    -Scope: global -
    -Specified as: a long precision real number. -
    -
    info
    -
    Error code. -
    -Scope: local -
    -Type: required -
    -Intent: out. -
    -An integer value; 0 means no error has been detected. -
    -
    - -

    -

    - - -next - -up - -previous - -contents -
    - Next: psb_geamaxs Generalized - Up: Computational routines - Previous: psb_gedots Generalized -   Contents - +

    +Methods +

    +
    diff --git a/docs/html/node31.html b/docs/html/node31.html index 900ffaec..1a11e620 100644 --- a/docs/html/node31.html +++ b/docs/html/node31.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -psb_geamaxs -- Generalized Infinity Norm - +get_nrows -- Get number of rows in a dense vector + @@ -20,199 +20,73 @@ original version by: Nikos Drakos, CBLU, University of Leeds - + - next - + up - previous - contents
    - Next: psb_geasum 1-Norm - Up: Computational routines - Previous: psb_geamax Infinity-Norm -   Next: get_ncols Get + Up: Dense Vector Data Structure + Previous: Methods +   Contents

    -

    -psb_geamaxs -- Generalized Infinity Norm -

    - -

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

    -
    - - -\begin{displaymath}res(i) \leftarrow \max_k \vert x(k,i)\vert \end{displaymath} -
    -
    -

    +

    +get_nrows -- Get number of rows in a dense vector +

    -call psb_geamaxs(res, x, desc_a, info)
+nr = v%get_nrows()
    -

    -

    -
    - - - -
    Table 5: -Data types
    -
    - - - - - - - - - - - - - - - - - - - - - -
    $res$$x$Subroutine
    Short Precision RealShort Precision Realpsb_geamaxs
    Long Precision RealLong Precision Realpsb_geamaxs
    Short Precision RealShort Precision Complexpsb_geamaxs
    Long Precision RealLong Precision Complexpsb_geamaxs
    -
    -
    -

    -
    -

    Type:
    -
    Synchronous. +
    Asynchronous.
    On Entry
    -
    x
    -
    the local portion of global dense matrix -$x$. -
    -Scope: local -
    -Type: required +
    v
    +
    the dense vector
    -Intent: in. -
    -Specified as: a rank one or two array -containing numbers of type specified in -Table 5. -
    -
    desc_a
    -
    contains data structures for communications. -
    -Scope: local -
    -Type: required -
    -Intent: in. -
    -Specified as: a structured data of type descdatapsb_desc_type. -
    +Scope: local +
    +
    + +

    +

    On Return
    -
    res
    -
    is the infinity norm of the columns of $x$. -
    -Scope: global -
    -Intent: out. -
    -Specified as: a number or a rank-one array of long precision real numbers. -
    -
    info
    -
    Error code. -
    -Scope: local -
    -Type: required -
    -Intent: out. -
    -An integer value; 0 means no error has been detected. +
    Function value
    +
    The number of rows of sparse matrix a.

    -

    - - -next - -up - -previous - -contents -
    - Next: psb_geasum 1-Norm - Up: Computational routines - Previous: psb_geamax Infinity-Norm -   Contents - +
    diff --git a/docs/html/node32.html b/docs/html/node32.html index dfa141d0..80043db9 100644 --- a/docs/html/node32.html +++ b/docs/html/node32.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -psb_geasum -- 1-Norm of Vector - +get_ncols -- Get number of columns in a sparse matrix + @@ -20,224 +20,43 @@ original version by: Nikos Drakos, CBLU, University of Leeds - + - next - + up - previous - contents
    - Next: psb_geasums Generalized - Up: Computational routines - Previous: psb_geamaxs Generalized -   Next: sizeof Get + Up: Dense Vector Data Structure + Previous: get_nrows Get +   Contents

    -

    -psb_geasum -- 1-Norm of Vector -

    +

    +get_ncols -- Get number of columns in a sparse matrix +

    -This function computes the 1-norm of a vector $x$. -
    -If $x$ is a real vector -it computes 1-norm as: -

    -
    - - -\begin{displaymath}asum \leftarrow \Vert x_i\Vert\end{displaymath} -
    -
    -

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

    -
    - - -\begin{displaymath}asum \leftarrow \Vert re(x)\Vert _1 + \Vert im(x)\Vert _1\end{displaymath} -
    -
    -

    - -

    -

    -psb_geasum(x, desc_a, info)
-
    - -

    -

    -
    - - - -
    Table 6: -Data types
    -
    - - - - - - - - - - - - - - - - - - - - - -
    $asum$$x$Function
    Short Precision RealShort Precision Realpsb_geasum
    Long Precision RealLong Precision Realpsb_geasum
    Short Precision RealShort Precision Complexpsb_geasum
    Long Precision RealLong Precision Complexpsb_geasum
    -
    -
    -

    -
    - -

    -

    -
    Type:
    -
    Synchronous. -
    -
    On Entry
    -
    -
    -
    x
    -
    the local portion of global dense matrix -$x$. - -
    -Scope: local -
    -Type: required -
    -Intent: in. -
    -Specified as: a rank one or two array -containing numbers of type specified in -Table 6. -
    -
    desc_a
    -
    contains data structures for communications. -
    -Scope: local -
    -Type: required -
    -Intent: in. -
    -Specified as: a structured data of type descdatapsb_desc_type. - -

    -

    -
    On Return
    -
    -
    -
    Function value
    -
    is the 1-norm of vector $x$. -
    -Scope: global -
    -Specified as: a long precision real number. -
    -
    info
    -
    Error code. -
    -Scope: local -
    -Type: required -
    -Intent: out. -
    -An integer value; 0 means no error has been detected. -
    -
    - -

    -

    - - -next - -up - -previous - -contents -
    - Next: psb_geasums Generalized - Up: Computational routines - Previous: psb_geamaxs Generalized -   Contents - +
    diff --git a/docs/html/node33.html b/docs/html/node33.html index dab9733c..8051c04b 100644 --- a/docs/html/node33.html +++ b/docs/html/node33.html @@ -7,8 +7,10 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -psb_geasums -- Generalized 1-Norm of Vector - +sizeof -- Get memory occupation in bytes +of a dense vector matrix + @@ -20,247 +22,74 @@ original version by: Nikos Drakos, CBLU, University of Leeds - + - next - + up - previous - contents
    - Next: psb_genrm2 2-Norm - Up: Computational routines - Previous: psb_geasum 1-Norm -   Next: get_vect Get + Up: Dense Vector Data Structure + Previous: get_ncols Get +   Contents

    -

    -psb_geasums -- Generalized 1-Norm of Vector -

    - -

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

    -
    - - -\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: -

    -
    - - -\begin{displaymath}res(i) \leftarrow \Vert x_i\Vert\end{displaymath} -
    -
    -

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

    -
    - - -\begin{displaymath}res(i) \leftarrow \Vert re(x)\Vert _1 + \Vert im(x)\Vert _1\end{displaymath} -
    -
    -

    +

    +sizeof -- Get memory occupation in bytes +of a dense vector matrix +

    -call psb_geasums(res, x, desc_a, info)
+memory_size = v%sizeof()
    -

    -

    -
    - - - -
    Table 7: -Data types
    -
    - - - - - - - - - - - - - - - - - - - - - -
    $res$$x$Subroutine
    Short Precision RealShort Precision Realpsb_geasums
    Long Precision RealLong Precision Realpsb_geasums
    Short Precision RealShort Precision Complexpsb_geasums
    Long Precision RealLong Precision Complexpsb_geasums
    -
    -
    -

    -
    -

    Type:
    -
    Synchronous. +
    Asynchronous.
    On Entry
    -
    x
    -
    the local portion of global dense matrix -$x$. - -
    -Scope: local -
    -Type: required -
    -Intent: in. -
    -Specified as: a rank one or two array -containing numbers of type specified in -Table 7. -
    -
    desc_a
    -
    contains data structures for communications. +
    v
    +
    the dense vector
    -Scope: local -
    -Type: required -
    -Intent: in. -
    -Specified as: a structured data of type descdatapsb_desc_type. +Scope: local +
    +

    - +

    On Return
    -
    res
    -
    contains the 1-norm of (the columns of) $x$. -
    -Scope: global -
    -Intent: out. -
    -Short as: a long precision real number. -Specified as: a long precision real number. -
    -
    info
    -
    Error code. -
    -Scope: local -
    -Type: required -
    -Intent: out. -
    -An integer value; 0 means no error has been detected. +
    Function value
    +
    The memory occupation in bytes.

    -

    - - -next - -up - -previous - -contents -
    - Next: psb_genrm2 2-Norm - Up: Computational routines - Previous: psb_geasum 1-Norm -   Contents - +
    diff --git a/docs/html/node34.html b/docs/html/node34.html index 29ca2461..7150a347 100644 --- a/docs/html/node34.html +++ b/docs/html/node34.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -psb_genrm2 -- 2-Norm of Vector - +get_vect -- Get a copy of the vector contents + @@ -18,227 +18,75 @@ original version by: Nikos Drakos, CBLU, University of Leeds - - + - next - + up - previous - contents
    - Next: psb_genrm2s Generalized - Up: Computational routines - Previous: psb_geasums Generalized -   Next: Preconditioner data structure + Up: Dense Vector Data Structure + Previous: sizeof Get +   Contents

    -

    -psb_genrm2 -- 2-Norm of Vector -

    - -

    -This function computes the 2-norm of a vector $x$. -
    -If $x$ is a double precision real vector -it computes 2-norm as: -

    -
    - - -\begin{displaymath}nrm2 \leftarrow \sqrt{x^T x}\end{displaymath} -
    -
    -

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

    -
    - - -\begin{displaymath}nrm2 \leftarrow \sqrt{x^H x}\end{displaymath} -
    -
    -

    - -

    -

    -
    - - - -
    Table 8: -Data types
    -
    - - - - - - - - - - - - - - - - - - - - - -
    $nrm2$$x$Function
    Short Precision RealShort Precision Realpsb_genrm2
    Long Precision RealLong Precision Realpsb_genrm2
    Short Precision RealShort Precision Complexpsb_genrm2
    Long Precision RealLong Precision Complexpsb_genrm2
    -
    -
    -

    -
    +

    +get_vect -- Get a copy of the vector contents +

    -psb_genrm2(x, desc_a, info)
+extv = v%get_vect()

    Type:
    -
    Synchronous. +
    Asynchronous.
    On Entry
    -
    x
    -
    the local portion of global dense matrix -$x$. -
    -Scope: local -
    -Type: required -
    -Intent: in. -
    -Specified as: a rank one or two array -containing numbers of type specified in -Table 8. -
    -
    desc_a
    -
    contains data structures for communications. -
    -Scope: local +
    v
    +
    the dense vector
    -Type: required -
    -Intent: in. -
    -Specified as: a structured data of type descdatapsb_desc_type. +Scope: local +
    +

    - +

    On Return
    -
    Function Value
    -
    is the 2-norm of subvector $x$. -
    -Scope: global -
    -Type: required -
    -Specified as: a long precision real number. -
    -
    info
    -
    Error code. -
    -Scope: local -
    -Type: required -
    -Intent: out. -
    -An integer value; 0 means no error has been detected. +
    Function value
    +
    An allocatable array holding a copy of the dense + vector contents.

    -

    - - -next - -up - -previous - -contents -
    - Next: psb_genrm2s Generalized - Up: Computational routines - Previous: psb_geasums Generalized -   Contents - +
    diff --git a/docs/html/node35.html b/docs/html/node35.html index 07de357b..8c072f3a 100644 --- a/docs/html/node35.html +++ b/docs/html/node35.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -psb_genrm2s -- Generalized 2-Norm of Vector - +Preconditioner data structure + @@ -19,203 +19,81 @@ original version by: Nikos Drakos, CBLU, University of Leeds - - + + - next - + up - previous - contents
    - Next: psb_spnrmi Infinity - Up: Computational routines - Previous: psb_genrm2 2-Norm -   Next: Data structure Methods + Up: Data Structures and Classes + Previous: get_vect Get +   Contents

    -

    -psb_genrm2s -- Generalized 2-Norm of Vector +

    + +
    +Preconditioner data structure

    +Our base library offers support for simple well known preconditioners +like Diagonal Scaling or Block Jacobi with incomplete +factorization ILU(0).

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

    -
    - - -\begin{displaymath}res(i) \leftarrow \Vert x(:,i)\Vert _2 \end{displaymath} -
    -
    -

    - -

    -

    -call psb_genrm2s(res, x, desc_a, info)
-
    +A preconditioner is held in the precdata psb_prec_type data structure reported in +figure 6. The psb_prec_type +data type may contain a simple preconditioning matrix with the +associated communication descriptor.The values contained in +the iprcparm and rprcparm define tha type of +preconditioner along with all the parameters related to it; thus, +iprcparm and rprcparm define how the other records have +to be interpreted. This data structure is the basis of more complex +preconditioning strategies, which are the subject of further +research. -

    -

    -
    +
    - - -
    Table 9: -Data types
    -
    - - - - - - - - - - - - - - - - - - - - - -
    $res$$x$Subroutine
    Short Precision RealShort Precision Realpsb_genrm2s
    Long Precision RealLong Precision Realpsb_genrm2s
    Short Precision RealShort Precision Complexpsb_genrm2s
    Long Precision RealLong Precision Complexpsb_genrm2s
    -
    -
    -

    -
    - -

    -

    -
    Type:
    -
    Synchronous. -
    -
    On Entry
    -
    -
    -
    x
    -
    the local portion of global dense matrix -$x$. - -
    -Scope: local -
    -Type: required -
    -Intent: in. -
    -Specified as: a rank one or two array -containing numbers of type specified in -Table 9. -
    -
    desc_a
    -
    contains data structures for communications. -
    -Scope: local -
    -Type: required -
    -Intent: in. -
    -Specified as: a structured data of type descdatapsb_desc_type. +Figure 6: +The PSBLAS defined data type that contains a preconditioner. +
    -

    -

    -
    On Return
    -
    -
    -
    res
    -
    contains the 1-norm of (the columns of) $x$. -
    -Scope: global -
    -Intent: out. -
    -Specified as: a long precision real number. -
    -
    info
    -
    Error code. -
    -Scope: local
    -Type: required -
    -Intent: out. -
    -An integer value; 0 means no error has been detected. -
    -
    + + +
    +\fbox{\TheSbox}
    + + +

    -

    - - -next - -up - -previous - -contents -
    - Next: psb_spnrmi Infinity - Up: Computational routines - Previous: psb_genrm2 2-Norm -   Contents - +
    diff --git a/docs/html/node36.html b/docs/html/node36.html index 540a458c..bb39efc5 100644 --- a/docs/html/node36.html +++ b/docs/html/node36.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -psb_spnrmi -- Infinity Norm of Sparse Matrix - +Data structure Methods + @@ -18,202 +18,46 @@ original version by: Nikos Drakos, CBLU, University of Leeds - - + - next - + up - previous - contents
    - Next: psb_spmm Sparse - Up: Computational routines - Previous: psb_genrm2s Generalized -   Next: Computational routines + Up: Data Structures and Classes + Previous: Preconditioner data structure +   Contents

    -

    -psb_spnrmi -- Infinity Norm of Sparse Matrix -

    - -

    -This function computes the infinity-norm of a matrix $A$: -
    -

    -

    -
    - - -\begin{displaymath}nrmi \leftarrow \Vert A\Vert _\infty \end{displaymath} -
    -
    -

    -where: -
    -
    $A$
    -
    represents the global matrix $A$ -
    -
    - -

    -

    -
    - - - -
    Table 10: -Data types
    -
    - - - - - - - - - - - - - - - - -
    $A$Function
    Short Precision Realpsb_spnrmi
    Long Precision Realpsb_spnrmi
    Short Precision Complexpsb_spnrmi
    Long Precision Complexpsb_spnrmi
    -
    -
    -

    -
    - -

    -

    -psb_spnrmi(A, desc_a, info)
-
    - -

    -

    -
    Type:
    -
    Synchronous. -
    -
    On Entry
    -
    -
    -
    a
    -
    the local portion of the global sparse matrix -$A$. -
    -Scope: local -
    -Type: required -
    -Intent: in. -
    -Specified as: a structured data of type spdatapsb_spmat_type. -
    -
    desc_a
    -
    contains data structures for communications. -
    -Scope: local -
    -Type: required +

    +
    -Intent: in. -
    -Specified as: a structured data of type descdatapsb_desc_type. -

    -
    On Return
    -
    -
    -
    Function value
    -
    is the infinity-norm of sparse submatrix $A$. -
    -Scope: global -
    -Specified as: a long precision real number. -
    -
    info
    -
    Error code. -
    -Scope: local -
    -Type: required -
    -Intent: out. -
    -An integer value; 0 means no error has been detected. -
    -
    +Data structure Methods +

    -

    - - -next - -up - -previous - -contents -
    - Next: psb_spmm Sparse - Up: Computational routines - Previous: psb_genrm2s Generalized -   Contents - +
    diff --git a/docs/html/node37.html b/docs/html/node37.html index 2c436ced..31b129f9 100644 --- a/docs/html/node37.html +++ b/docs/html/node37.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -psb_spmm -- Sparse Matrix by Dense Matrix Product - +Computational routines + @@ -18,414 +18,76 @@ original version by: Nikos Drakos, CBLU, University of Leeds - - - + + + - next - + up - previous - contents
    - Next: psb_spsm Triangular - Up: Computational routines - Previous: psb_spnrmi Infinity -   Next: psb_geaxpby General + Up: userhtml + Previous: Data structure Methods +   Contents

    -

    -psb_spmm -- Sparse Matrix by Dense Matrix Product -

    - -

    -This subroutine computes the Sparse Matrix by Dense Matrix Product: - -

    -
    -

    - - - - - -
    \begin{displaymath} -y \leftarrow \alpha P_r A P_c x + \beta y -\end{displaymath} -(1)
    -

    -
    -
    - - - - - -
    \begin{displaymath} -y \leftarrow \alpha P_r A^T P_c x + \beta y -\end{displaymath} -(2)
    -

    -
    -
    - - - - - -
    \begin{displaymath} -y \leftarrow \alpha P_r A^H P_c x + \beta y -\end{displaymath} -(3)
    -

    - -

    -where: -

    -
    $x$
    -
    is the global dense submatrix $x_{:, :}$ -
    -
    $y$
    -
    is the global dense submatrix $y_{:, :}$ -
    -
    $A$
    -
    is the global sparse submatrix $A$ -
    -
    $P_r, P_c$
    -
    are the permutation matrices. -
    -
    - -

    -

    -
    - - - -
    Table 11: -Data types
    -
    - - - - - - - - - - - - - - - - -
    $A$, $x$, $y$, $\alpha$, $\beta$Subroutine
    Short Precision Realpsb_spmm
    Long Precision Realpsb_spmm
    Short Precision Complexpsb_spmm
    Long Precision Complexpsb_spmm
    -
    -
    -

    -
    - -

    -

    -call psb_spmm(alpha, a, x, beta, y, desc_a, info)
-call psb_spmm(alpha, a, x, beta, y,desc_a, info, &
-             & trans, work)
-
    +

    +Computational routines +

    -

    -
    Type:
    -
    Synchronous. -
    -
    On Entry
    -
    -
    -
    alpha
    -
    the scalar $\alpha$. -
    -Scope: global -
    -Type: required -
    -Intent: in. -
    -Specified as: a number of the data type indicated in -Table 11. -
    -
    a
    -
    the local portion of the sparse matrix -$A$. -
    -Scope: local -
    -Type: required -
    -Intent: in. -
    -Specified as: a structured data of type spdatapsb_spmat_type. -
    -
    x
    -
    the local portion of global dense matrix -$x$. - -
    -Scope: local -
    -Type: required -
    -Intent: in. -
    -Specified as: a rank one or two array -containing numbers of type specified in -Table 11. The rank of $x$ must be the same of $y$. -
    -
    beta
    -
    the scalar $\beta$. -
    -Scope: global -
    -Type: required -
    -Intent: in. -
    -Specified as: a number of the data type indicated in Table 11. -
    -
    y
    -
    the local portion of global dense matrix -$y$. - -
    -Scope: local -
    -Type: required -
    -Intent: inout. -
    -Specified as: a rank one or two array -containing numbers of type specified in -Table 11. The rank of $y$ must be the same of $x$. -
    -
    desc_a
    -
    contains data structures for communications. -
    -Scope: local -
    -Type: required -
    -Intent: in. -
    -Specified as: a structured data of type descdatapsb_desc_type. -
    -
    trans
    -
    indicate what kind of operation to perform. -
    -
    trans = N
    -
    the operation is specified by equation 1 -
    -
    trans = T
    -
    the operation is specified by equation -2 -
    -
    trans = C
    -
    the operation is specified by equation -3 -
    -
    -Scope: global -
    -Type: optional -
    -Intent: in. -
    -Default: $trans = N$ -
    -Specified as: a character variable. - -

    -

    -
    work
    -
    work array. -
    -Scope: local -
    -Type: optional -
    -Intent: inout. -
    -Specified as: a rank one array of the same type of $x$ and $y$ with -the TARGET attribute. - -

    -

    -
    On Return
    -
    -
    -
    y
    -
    the local portion of result submatrix $y$. -
    -Scope: local -
    -Type: required -
    -Intent: inout. -
    -Specified as: an array of rank one or two -containing numbers of type specified in -Table 11. -
    -
    info
    -
    Error code. -
    -Scope: local -
    -Type: required -
    -Intent: out. -
    -An integer value; 0 means no error has been detected. -
    -
    - -

    -

    - - -next - -up - -previous - -contents -
    - Next: psb_spsm Triangular - Up: Computational routines - Previous: psb_spnrmi Infinity -   Contents - +
    + +Subsections + + + +
    diff --git a/docs/html/node38.html b/docs/html/node38.html index 5acca937..06716813 100644 --- a/docs/html/node38.html +++ b/docs/html/node38.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -psb_spsm -- Triangular System Solve - +psb_geaxpby -- General Dense Matrix Sum + @@ -18,164 +18,102 @@ original version by: Nikos Drakos, CBLU, University of Leeds + - + - next - + up - previous - contents
    - Next: Communication routines - Up: Computational routines - Previous: psb_spmm Sparse -   Next: psb_gedot Dot + Up: Computational routines + Previous: Computational routines +   Contents

    -

    -psb_spsm -- Triangular System Solve +

    +psb_geaxpby -- General Dense Matrix Sum

    -This subroutine computes the Triangular System Solve: - -

    -

    +This subroutine is an interface to the computational kernel for +dense matrix sum: +

    -\begin{eqnarray*} -y &\leftarrow& \alpha P_r T^{-1} P_c x + \beta y\\ -y &\leftar... -...\beta y\\ -y &\leftarrow& \alpha P_r T^{-H} P_c D x + \beta y\\ -\end{eqnarray*}
    -

    -

    -where: -

    -
    $x$
    -
    is the global dense submatrix $x_{:, :}$ -
    -
    $y$
    -
    is the global dense submatrix $y_{:, :}$ -
    -
    $T$
    -
    is the global sparse block triangular submatrix $T$ -
    -
    $D$
    -
    is the scaling diagonal matrix. -
    -
    $P_r, P_c$
    -
    are the permutation matrices. -
    -
    +\begin{displaymath}y \leftarrow \alpha\> x+ \beta y \end{displaymath} +
    +
    +

    -call psb_spsm(alpha, t, x, beta, y, desc_a, info)
-call psb_spsm(alpha, t, x, beta, y, desc_a, info,&
-             & trans, unit, choice, diag, work)
-
    +call psb_geaxpby(alpha, x, beta, y, desc_a, info) +


    -
    +
    -
    Table 12: +Table 1: Data types
    - + - + - + - +
    $T$, $x$, $y$, $D$, $\alpha$, $\beta$ Subroutine
    Short Precision Realpsb_spsmpsb_geaxpby
    Long Precision Realpsb_spsmpsb_geaxpby
    Short Precision Complexpsb_spsmpsb_geaxpby
    Long Precision Complexpsb_spsmpsb_geaxpby
    @@ -194,42 +132,24 @@ Data types
    alpha
    the scalar $\alpha$.
    Scope: global
    -Type: required -
    -Intent: in. -
    -Specified as: a number of the data type indicated in -Table 12. -
    -
    t
    -
    the global portion of the sparse matrix -$T$. -
    -Scope: local -
    -Type: required +Type: required
    Intent: in.
    -Specified as: a structured data type specified in -§ 3. +Specified as: a number of the data type indicated in Table 1.
    x
    the local portion of global dense matrix $x$. - + WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0" + SRC="img25.png" + ALT="$x$">.
    Scope: local
    @@ -237,20 +157,20 @@ Type: required
    Intent: in.
    -Specified as: a rank one or two array -containing numbers of type specified in -Table 12. The rank of 1. The rank of $x$ must be the same of $y$.
    beta
    the scalar $\beta$.
    Scope: global @@ -259,15 +179,14 @@ Type: required
    Intent: in.
    -Specified as: a number of the data type indicated in Table 12. +Specified as: a number of the data type indicated in Table 1.
    y
    -
    the local portion of global dense matrix +
    the local portion of the global dense matrix $y$. -
    Scope: local
    @@ -275,14 +194,13 @@ Type: required
    Intent: inout.
    -Specified as: a rank one or two array -containing numbers of type specified in -Table 12. The rank of 1. The rank of $y$ must be the same of $x$.
    desc_a
    @@ -295,133 +213,21 @@ Type: required Intent: in.
    Specified as: a structured data of type descdatapsb_desc_type. - -
    trans
    -
    specify with unitd the operation to perform. -
    -
    trans = 'N'
    -
    the operation is with no transposed matrix -
    -
    trans = 'T'
    -
    the operation is with transposed matrix. -
    -
    trans = 'C'
    -
    the operation is with conjugate transposed matrix. -
    -
    -Scope: global -
    -Type: optional -
    -Intent: in. -
    -Default: $trans = N$ -
    -Specified as: a character variable. -
    -
    unitd
    -
    specify with trans the operation to perform. -
    -
    unitd = 'U'
    -
    the operation is with no scaling -
    -
    unitd = 'L'
    -
    the operation is with left scaling -
    -
    unitd = 'R'
    -
    the operation is with right scaling. -
    -
    -Scope: global -
    -Type: optional -
    -Intent: in. -
    -Default: $unitd = U$ -
    -Specified as: a character variable. -
    -
    choice
    -
    specifies the update of overlap elements to be performed - on exit: -
    -
    -
    psb_none_ -
    -
    -
    psb_sum_ -
    -
    -
    psb_avg_ -
    -
    -
    psb_square_root_ + +

    -Scope: global -
    -Type: optional -
    -Intent: in. -
    -Default: psb_avg_ -
    -Specified as: an integer variable. -
    -
    diag
    -
    the diagonal scaling matrix. -
    -Scope: local -
    -Type: optional -
    -Intent: in. -
    -Default: -$diag(1) = 1 (no scaling)$ -
    -Specified as: a rank one array containing numbers of the type -indicated in Table 12. -
    -
    work
    -
    a work array. -
    -Scope: local -
    -Type: optional -
    -Intent: inout. -
    -Specified as: a rank one array of the same type of $x$ with the -TARGET attribute.

    -

    +
    On Return
    y
    -
    the local portion of global dense matrix -$y$. - +
    the local portion of result submatrix $y$.
    Scope: local
    @@ -429,9 +235,8 @@ Type: required
    Intent: inout.
    -Specified as: an array of rank one or two -containing numbers of type specified in -Table 12. +Specified as: a rank one or two array containing numbers of the type +indicated in Table 1.
    info
    Error code. @@ -449,26 +254,26 @@ An integer value; 0 means no error has been detected.

    - next - + up - previous - contents
    - Next: Communication routines - Up: Computational routines - Previous: psb_spmm Sparse -   Next: psb_gedot Dot + Up: Computational routines + Previous: Computational routines +   Contents diff --git a/docs/html/node39.html b/docs/html/node39.html index 4f878be8..cfb9766c 100644 --- a/docs/html/node39.html +++ b/docs/html/node39.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -Communication routines - +psb_gedot -- Dot Product + @@ -18,63 +18,263 @@ original version by: Nikos Drakos, CBLU, University of Leeds - - - + + + - next - + up - previous - contents
    - Next: psb_halo Halo - Up: userhtml - Previous: psb_spsm Triangular -   Next: psb_gedots Generalized + Up: Computational routines + Previous: psb_geaxpby General +   Contents

    -

    -Communication routines -

    -The routines in this chapter implement various global communication operators -on vectors associated with a discretization mesh. For auxiliary communication -routines not tied to a discretization space see 6. +

    +psb_gedot -- Dot Product +

    + +

    +This function computes dot product between two vectors $x$ and +$y$. +
    +If $x$ and $y$ are real vectors +it computes dot-product as: +

    +
    + + +\begin{displaymath}dot \leftarrow x^T y\end{displaymath} +
    +
    +

    +Else if $x$ and $y$ are complex vectors then it computes dot-product as: +

    +
    + + +\begin{displaymath}dot \leftarrow x^H y\end{displaymath} +
    +
    +

    -

    - -Subsections +
    +psb_gedot(x, y, desc_a, info)
+
    +

    +
    + + + +
    Table 2: +Data types
    +
    + + + + + + + + + + + + + + + + +
    $dot$, $x$, $y$Function
    Short Precision Realpsb_gedot
    Long Precision Realpsb_gedot
    Short Precision Complexpsb_gedot
    Long Precision Complexpsb_gedot
    +
    +
    +

    +
    + +

    +

    +
    Type:
    +
    Synchronous. +
    +
    On Entry
    +
    +
    +
    x
    +
    the local portion of global dense matrix +$x$. +
    +Scope: local +
    +Type: required +
    +Intent: in. +
    +Specified as: an array of rank one or two +containing numbers of type specified in +Table 2. The rank of $x$ must be the same of $y$. +
    +
    y
    +
    the local portion of global dense matrix +$y$. +
    +Scope: local +
    +Type: required +
    +Intent: in. +
    +Specified as: an array of rank one or two +containing numbers of type specified in +Table 2. The rank of $y$ must be the same of $x$. +
    +
    desc_a
    +
    contains data structures for communications. +
    +Scope: local +
    +Type: required +
    +Intent: in. +
    +Specified as: a structured data of type descdatapsb_desc_type. - - -
    +

    +

    +
    On Return
    +
    +
    +
    Function value
    +
    is the dot product of subvectors $x$ and $y$. +
    +Scope: global +
    +Specified as: a number of the data type indicated in Table 2. +
    +
    info
    +
    Error code. +
    +Scope: local +
    +Type: required +
    +Intent: out. +
    +An integer value; 0 means no error has been detected. +
    +
    + +

    +

    + + +next + +up + +previous + +contents +
    + Next: psb_gedots Generalized + Up: Computational routines + Previous: psb_geaxpby General +   Contents + diff --git a/docs/html/node4.html b/docs/html/node4.html index 7920add7..ebf6622f 100644 --- a/docs/html/node4.html +++ b/docs/html/node4.html @@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds - next - up - previous - contents
    - Next: Next: Library contents - Up: Up: General overview - Previous: Previous: General overview -   Contents

    @@ -112,7 +112,7 @@ on it. Whenever performing a computational step, such as a matrix-vector product, the values associated with halo points are requested from other domains. A boundary point of a given domain is usually a halo point for some other domain2; therefore + HREF="footnode.html#foot175">2; therefore the cardinality of the boundary points set denotes the amount of data sent to other domains.
    @@ -126,8 +126,8 @@ 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="node118.html#2007c">4,3].

    We denote the sets of internal, boundary and halo points for a given @@ -135,7 +135,7 @@ subdomain by $\cal I$, $\cal B$ and -

    +
    Figure 2: Point classfication.
    \includegraphics[scale=0.65]{figures/points.eps} - next - up - previous - contents
    - Next: Next: Library contents - Up: Up: General overview - Previous: Previous: General overview -   Contents diff --git a/docs/html/node40.html b/docs/html/node40.html index ef06fc8a..b2a5169c 100644 --- a/docs/html/node40.html +++ b/docs/html/node40.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -psb_halo -- Halo Data Communication - +psb_gedots -- Generalized Dot Product + @@ -20,103 +20,117 @@ original version by: Nikos Drakos, CBLU, University of Leeds - + - next - + up - previous - contents
    - Next: psb_ovrl Overlap - Up: Communication routines - Previous: Communication routines -   Next: psb_geamax Infinity-Norm + Up: Computational routines + Previous: psb_gedot Dot +   Contents

    -

    -psb_halo -- Halo Data Communication +

    +psb_gedots -- Generalized Dot Product

    -These subroutines gathers the values of the halo -elements, and (optionally) scale the result: - -

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

    \begin{displaymath}x \leftarrow \alpha x \end{displaymath} + WIDTH="150" HEIGHT="28" BORDER="0" + SRC="img32.png" + ALT="\begin{displaymath}res(i) \leftarrow x(:,i)^T y(:,i)\end{displaymath}">

    -where: -
    -
    $x$
    -
    is a global dense submatrix. -
    -
    +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.

    +

    +call psb_gedots(res, x, y, desc_a, info)
+

    -
    +
    -
    Table 13: +Table 3: Data types
    + WIDTH="27" HEIGHT="13" ALIGN="BOTTOM" BORDER="0" + SRC="img33.png" + ALT="$res$">, $x$, $y$ - - - - + - + - + - +
    $\alpha$, $x$ Subroutine
    Integerpsb_halo
    Short Precision Realpsb_halopsb_gedots
    Long Precision Realpsb_halopsb_gedots
    Short Precision Complexpsb_halopsb_gedots
    Long Precision Complexpsb_halopsb_gedots
    @@ -125,12 +139,6 @@ Data types


    -

    -

    -call psb_halo(x, desc_a, info)
-call psb_halo(x, desc_a, info, alpha, work, data)
-
    -

    Type:
    @@ -140,103 +148,83 @@ call psb_halo(x, desc_a, info, alpha, work, data)
    x
    -
    global dense matrix $x$. +
    the local portion of global dense matrix +$x$.
    Scope: local
    Type: required
    -Intent: inout. +Intent: in.
    -Specified as: a rank one or two array with the TARGET attribute +Specified as: an array of rank one or two containing numbers of type specified in -Table 13. +Table 3. The rank of $x$ must be the same of $y$.
    -
    desc_a
    -
    contains data structures for communications. +
    y
    +
    the local portion of global dense matrix +$y$.
    Scope: local
    -Type: required -
    -Intent: in. -
    -Specified as: a structured data of type descdatapsb_desc_type. -
    -
    alpha
    -
    the scalar $\alpha$. -
    -Scope: global -
    -Type: optional +Type: required
    Intent: in.
    -Default: $alpha = 1 $ -
    -Specified as: a number of the data type indicated in Table 13. +Specified as: an array of rank one or two +containing numbers of type specified in +Table 3. The rank of $y$ must be the same of $x$.
    -
    work
    -
    the work array. +
    desc_a
    +
    contains data structures for communications.
    Scope: local
    -Type: optional -
    -Intent: inout. -
    -Specified as: a rank one array of the same type of $x$ with the -POINTER attribute. -
    -
    data
    -
    index list selector. -
    -Scope: global +Type: required
    -Type: optional +Intent: in.
    -Specified as: an integer. Values:psb_comm_halo_,psb_comm_mov_, -psb_comm_ext_, default: psb_comm_halo_. Chooses the -index list on which to base the data exchange. - -

    +Specified as: a structured data of type descdatapsb_desc_type.

    On Return
    -
    x
    -
    global dense result matrix $x$. -
    -Scope: local +
    res
    +
    is the dot product of subvectors $x$ and $y$.
    -Type: required +Scope: global
    -Intent: inout. +Intent: out.
    -Returned as: a rank one or two array -containing numbers of type specified in -Table 13. +Specified as: a number or a rank-one array of the data type indicated +in Table 2.
    info
    -
    the local portion of result submatrix $y$. +
    Error code.
    Scope: local
    @@ -244,408 +232,33 @@ Type: required
    Intent: out.
    -An integer value that contains an error code. +An integer value; 0 means no error has been detected.
    -
    - - - -
    Figure 6: -Sample discretization mesh.
    -
    -\includegraphics[scale=0.45]{figures/try8x8.eps} - - -\rotatebox{-90}{\includegraphics[scale=0.45]{figures/try8x8}} - -
    -
    - -

    -Usage Example -Consider the discretization mesh depicted in fig. 6, -partitioned among two processes as shown by the dashed line; the data -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 -following: -
    -

    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    -Process 0  -Process 1
    - I GLOB(I) X(I)   I GLOB(I) X(I)
    - 1 1 1.0   1 33 2.0
    - 2 2 1.0   2 34 2.0
    - 3 3 1.0   3 35 2.0
    - 4 4 1.0   4 36 2.0
    - 5 5 1.0   5 37 2.0
    - 6 6 1.0   6 38 2.0
    - 7 7 1.0   7 39 2.0
    - 8 8 1.0   8 40 2.0
    - 9 9 1.0   9 41 2.0
    - 10 10 1.0   10 42 2.0
    - 11 11 1.0   11 43 2.0
    - 12 12 1.0   12 44 2.0
    - 13 13 1.0   13 45 2.0
    - 14 14 1.0   14 46 2.0
    - 15 15 1.0   15 47 2.0
    - 16 16 1.0   16 48 2.0
    - 17 17 1.0   17 49 2.0
    - 18 18 1.0   18 50 2.0
    - 19 19 1.0   19 51 2.0
    - 20 20 1.0   20 52 2.0
    -21 21 1.0   21 53 2.0
    -22 22 1.0   22 54 2.0
    -23 23 1.0   23 55 2.0
    -24 24 1.0   24 56 2.0
    -25 25 1.0   25 57 2.0
    -26 26 1.0   26 58 2.0
    -27 27 1.0   27 59 2.0
    -28 28 1.0   28 60 2.0
    -29 29 1.0   29 61 2.0
    -30 30 1.0   30 62 2.0
    -31 31 1.0   31 63 2.0
    -32 32 1.0   32 64 2.0
    -33 33 2.0   33 25 1.0
    -34 34 2.0   34 26 1.0
    -35 35 2.0   35 27 1.0
    -36 36 2.0   36 28 1.0
    -37 37 2.0   37 29 1.0
    -38 38 2.0   38 30 1.0
    -39 39 2.0   39 31 1.0
    -40 40 2.0   40 32 1.0
    -
    -

    - next - + up - previous - contents
    - Next: psb_ovrl Overlap - Up: Communication routines - Previous: Communication routines -   Next: psb_geamax Infinity-Norm + Up: Computational routines + Previous: psb_gedot Dot +   Contents diff --git a/docs/html/node41.html b/docs/html/node41.html index adae6ae8..a95db45c 100644 --- a/docs/html/node41.html +++ b/docs/html/node41.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -psb_ovrl -- Overlap Update - +psb_geamax -- Infinity-Norm of Vector + @@ -20,112 +20,127 @@ original version by: Nikos Drakos, CBLU, University of Leeds - + - next - + up - previous - contents
    - Next: psb_gather Gather - Up: Communication routines - Previous: psb_halo Halo -   Next: psb_geamaxs Generalized + Up: Computational routines + Previous: psb_gedots Generalized +   Contents

    -

    -psb_ovrl -- Overlap Update +

    +psb_geamax -- Infinity-Norm of Vector

    -These subroutines applies an overlap operator to the input vector: +This function computes + the infinity-norm of a vector $x$. +
    +If $x$ is a real vector +it computes infinity norm as: +

    +
    + -

    +\begin{displaymath}amax \leftarrow \max_i \vert x_i\vert\end{displaymath} +

    +
    +

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

    \begin{displaymath}x \leftarrow Q x \end{displaymath} + WIDTH="232" HEIGHT="36" BORDER="0" + SRC="img35.png" + ALT="\begin{displaymath}amax \leftarrow \max_i {(\vert re(x_i)\vert + \vert im(x_i)\vert)}\end{displaymath}">

    -where: -
    -
    $x$
    -
    is the global dense submatrix $x$ -
    -
    $Q$
    -
    is the overlap operator; it is the composition of two -operators $ P_a$ and $ P^{T}$. -
    -
    + +

    +

    +psb_geamax(x, desc_a, info)
+


    -
    +
    -
    Table 14: +Table 4: Data types
    + - + - + + - + + - - + + + - - + + +
    $amax$$x$SubroutineFunction
    Short Precision Realpsb_ovrlShort Precision Realpsb_geamax
    Long Precision Realpsb_ovrlLong Precision Realpsb_geamax
    Short Precision Complexpsb_ovrl
    Short Precision RealShort Precision Complexpsb_geamax
    Long Precision Complexpsb_ovrl
    Long Precision RealLong Precision Complexpsb_geamax
    @@ -134,12 +149,6 @@ Data types


    -

    -

    -call psb_ovrl(x, desc_a, info)
-call psb_ovrl(x, desc_a, info, update=update_type, work=work)
-
    -

    Type:
    @@ -149,20 +158,22 @@ call psb_ovrl(x, desc_a, info, update=update_type, work=work)
    x
    -
    global dense matrix $x$. +
    the local portion of global dense matrix +$x$. +
    Scope: local
    Type: required
    -Intent: inout. +Intent: in.
    -Specified as: a rank one or two array +Specified as: a rank one or two array containing numbers of type specified in -Table 14. +Table 4.
    desc_a
    contains data structures for communications. @@ -174,76 +185,21 @@ Type: required Intent: in.
    Specified as: a structured data of type descdatapsb_desc_type. -
    -
    update
    -
    Update operator. -
    -
    update = psb_none_
    -
    Do nothing; -
    -
    update = psb_add_
    -
    Sum overlap entries, i.e. apply $P^T$; -
    -
    update = psb_avg_
    -
    Average overlap entries, i.e. apply $P_aP^T$; -
    -
    -Scope: global -
    -Intent: in. -
    -Default: -$update\_type = psb\_avg\_ $ -
    -Scope: global -
    -Specified as: a integer variable. -
    -
    work
    -
    the work array. -
    -Scope: local -
    -Type: optional -
    -Intent: inout. -
    -Specified as: a one dimensional array of the same type of $x$.

    On Return
    -
    x
    -
    global dense result matrix Function value +
    is the infinity norm of subvector $x$.
    -Scope: local -
    -Type: required -
    -Intent: inout. +Scope: global
    -Specified as: an array of rank one or two -containing numbers of type specified in -Table 14. +Specified as: a long precision real number.
    info
    Error code. @@ -258,502 +214,29 @@ An integer value; 0 means no error has been detected.
    -

    -Notes - -

      -
    1. If there is no overlap in the data distribution associated with - the descriptor, no operations are performed; -
      2. -
    2. 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; -
      3. -
    3. 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 -their instances. -
      4. -
    - -

    - -

    - - - -
    Figure 7: -Sample discretization mesh.
    -
    -\includegraphics[scale=0.65]{figures/try8x8_ov.eps} - - -\rotatebox{-90}{\includegraphics[scale=0.65]{figures/try8x8_ov}} - -
    -
    - -Example of use -Consider the discretization mesh depicted in fig. 7, -partitioned among two processes as shown by the dashed lines, with an -overlap of 1 extra layer with respect to the partition of -fig. 6; the data -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 -psb_halo_ the contents of the local vectors will be the -following (showing a transition among the two subdomains) - -

    -
    -

    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    -Process 0  -Process 1
    - I GLOB(I) X(I)   I GLOB(I) X(I)
    - 1 1 1.0   1 33 1.5
    - 2 2 1.0   2 34 1.5
    - 3 3 1.0   3 35 1.5
    - 4 4 1.0   4 36 1.5
    - 5 5 1.0   5 37 1.5
    - 6 6 1.0   6 38 1.5
    - 7 7 1.0   7 39 1.5
    - 8 8 1.0   8 40 1.5
    - 9 9 1.0   9 41 2.0
    - 10 10 1.0   10 42 2.0
    - 11 11 1.0   11 43 2.0
    - 12 12 1.0   12 44 2.0
    - 13 13 1.0   13 45 2.0
    - 14 14 1.0   14 46 2.0
    - 15 15 1.0   15 47 2.0
    - 16 16 1.0   16 48 2.0
    - 17 17 1.0   17 49 2.0
    - 18 18 1.0   18 50 2.0
    - 19 19 1.0   19 51 2.0
    - 20 20 1.0   20 52 2.0
    - 21 21 1.0   21 53 2.0
    - 22 22 1.0   22 54 2.0
    - 23 23 1.0   23 55 2.0
    - 24 24 1.0   24 56 2.0
    - 25 25 1.5   25 57 2.0
    - 26 26 1.5   26 58 2.0
    - 27 27 1.5   27 59 2.0
    - 28 28 1.5   28 60 2.0
    - 29 29 1.5   29 61 2.0
    - 30 30 1.5   30 62 2.0
    - 31 31 1.5   31 63 2.0
    - 32 32 1.5   32 64 2.0
    - 33 33 1.5   33 25 1.5
    - 34 34 1.5   34 26 1.5
    - 35 35 1.5   35 27 1.5
    - 36 36 1.5   36 28 1.5
    - 37 37 1.5   37 29 1.5
    - 38 38 1.5   38 30 1.5
    - 39 39 1.5   39 31 1.5
    - 40 40 1.5   40 32 1.5
    - 41 41 2.0   41 17 1.0
    - 42 42 2.0   42 18 1.0
    - 43 43 2.0   43 19 1.0
    - 44 44 2.0   44 20 1.0
    - 45 45 2.0   45 21 1.0
    - 46 46 2.0   46 22 1.0
    - 47 47 2.0   47 23 1.0
    - 48 48 2.0   48 24 1.0
    -
    -

    - next - + up - previous - contents
    - Next: psb_gather Gather - Up: Communication routines - Previous: psb_halo Halo -   Next: psb_geamaxs Generalized + Up: Computational routines + Previous: psb_gedots Generalized +   Contents diff --git a/docs/html/node42.html b/docs/html/node42.html index 98e1b3e5..e8826722 100644 --- a/docs/html/node42.html +++ b/docs/html/node42.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -psb_gather -- Gather Global Dense Matrix - +psb_geamaxs -- Generalized Infinity Norm + @@ -20,123 +20,102 @@ original version by: Nikos Drakos, CBLU, University of Leeds - + - next - + up - previous - contents
    - Next: psb_scatter Scatter - Up: Communication routines - Previous: psb_ovrl Overlap -   Next: psb_geasum 1-Norm + Up: Computational routines + Previous: psb_geamax Infinity-Norm +   Contents

    -

    -psb_gather -- Gather Global Dense Matrix +

    +psb_geamaxs -- Generalized Infinity Norm

    -These subroutines collect the portions of global dense matrix -distributed over all process into one single array stored on one -process. - -

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

    \begin{displaymath}glob\_x \leftarrow collect(loc\_x_i) \end{displaymath} + WIDTH="147" HEIGHT="36" BORDER="0" + SRC="img37.png" + ALT="\begin{displaymath}res(i) \leftarrow \max_k \vert x(k,i)\vert \end{displaymath}">

    -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 $i$. -
    -
    $collect$
    -
    is the collect function. -
    -
    + +

    +

    +call psb_geamaxs(res, x, desc_a, info)
+


    -
    +
    -
    Table 15: +Table 5: Data types
    + WIDTH="27" HEIGHT="13" ALIGN="BOTTOM" BORDER="0" + SRC="img33.png" + ALT="$res$"> + - - - - + + - + + - - + + + - - + + +
    $x_i, y$$x$ Subroutine
    Integerpsb_gather
    Short Precision Realpsb_gatherShort Precision Realpsb_geamaxs
    Long Precision Realpsb_gatherLong Precision Realpsb_geamaxs
    Short Precision Complexpsb_gather
    Short Precision RealShort Precision Complexpsb_geamaxs
    Long Precision Complexpsb_gather
    Long Precision RealLong Precision Complexpsb_geamaxs
    @@ -145,12 +124,6 @@ Data types


    -

    -

    -call psb_gather(glob_x, loc_x, desc_a, info, root)
-call psb_gather(glob_x, loc_x, desc_a, info, root)
-
    -

    Type:
    @@ -159,21 +132,22 @@ call psb_gather(glob_x, loc_x, desc_a, info, root)
    On Entry
    -
    loc_x
    +
    x
    the local portion of global dense matrix $glob\_x$. + WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0" + SRC="img25.png" + ALT="$x$">.
    Scope: local
    -Type: required +Type: required
    Intent: in.
    -Specified as: a rank one or two array containing numbers of the type -indicated in Table 15. +Specified as: a rank one or two array +containing numbers of type specified in +Table 5.
    desc_a
    contains data structures for communications. @@ -186,43 +160,20 @@ Intent: in.
    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. -
    -Scope: global -
    -Type: optional -
    -Intent: in. -
    -Specified as: an integer variable -$-1\le root\le np-1$, default $-1$. -
    On Return
    -
    glob_x
    -
    The array where the local parts must be gathered. +
    res
    +
    is the infinity norm of the columns of $x$.
    Scope: global
    -Type: required -
    Intent: out.
    -Specified as: a rank one or two array. +Specified as: a number or a rank-one array of long precision real numbers.
    info
    Error code. @@ -240,26 +191,26 @@ An integer value; 0 means no error has been detected.

    - next - + up - previous - contents
    - Next: psb_scatter Scatter - Up: Communication routines - Previous: psb_ovrl Overlap -   Next: psb_geasum 1-Norm + Up: Computational routines + Previous: psb_geamax Infinity-Norm +   Contents diff --git a/docs/html/node43.html b/docs/html/node43.html index 3ab5b145..17dc137f 100644 --- a/docs/html/node43.html +++ b/docs/html/node43.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -psb_scatter -- Scatter Global Dense Matrix - +psb_geasum -- 1-Norm of Vector + @@ -18,123 +18,128 @@ original version by: Nikos Drakos, CBLU, University of Leeds + - + - next - + up - previous - contents
    - Next: Data management routines - Up: Communication routines - Previous: psb_gather Gather -   Next: psb_geasums Generalized + Up: Computational routines + Previous: psb_geamaxs Generalized +   Contents

    -

    -psb_scatter -- Scatter Global Dense Matrix +

    +psb_geasum -- 1-Norm of Vector

    -These subroutines scatters the portions of global dense matrix owned -by a process to all the processes in the processes grid. - -

    +This function computes the 1-norm of a vector $x$. +
    +If $x$ is a real vector +it computes 1-norm as:

    \begin{displaymath}loc\_x_i \leftarrow scatter(glob\_x) \end{displaymath} + WIDTH="92" HEIGHT="28" BORDER="0" + SRC="img38.png" + ALT="\begin{displaymath}asum \leftarrow \Vert x_i\Vert\end{displaymath}">

    -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 $i$. -
    -
    $scatter$
    -
    is the scatter function. -
    -
    + WIDTH="205" HEIGHT="28" BORDER="0" + SRC="img39.png" + ALT="\begin{displaymath}asum \leftarrow \Vert re(x)\Vert _1 + \Vert im(x)\Vert _1\end{displaymath}"> + +
    +

    + +

    +

    +psb_geasum(x, desc_a, info)
+


    -
    +
    -
    Table 16: +Table 6: Data types
    - - - - + WIDTH="43" HEIGHT="13" ALIGN="BOTTOM" BORDER="0" + SRC="img40.png" + ALT="$asum$"> + + - + + - + + - - + + + - - + + +
    $x_i, y$Subroutine
    Integerpsb_scatter$x$Function
    Short Precision Realpsb_scatterShort Precision Realpsb_geasum
    Long Precision Realpsb_scatterLong Precision Realpsb_geasum
    Short Precision Complexpsb_scatter
    Short Precision RealShort Precision Complexpsb_geasum
    Long Precision Complexpsb_scatter
    Long Precision RealLong Precision Complexpsb_geasum
    @@ -143,12 +148,6 @@ Data types


    -

    -

    -call psb_scatter(glob_x, loc_x, desc_a, info, root)
-call psb_scatter(glob_x, loc_x, desc_a, info, root)
-
    -

    Type:
    @@ -157,16 +156,23 @@ call psb_scatter(glob_x, loc_x, desc_a, info, root)
    On Entry
    -
    glob_x
    -
    The array that must be scattered into local pieces. +
    x
    +
    the local portion of global dense matrix +$x$. +
    -Scope: global +Scope: local
    -Type: required +Type: required
    Intent: in.
    -Specified as: a rank one or two array. +Specified as: a rank one or two array +containing numbers of type specified in +Table 6.
    desc_a
    contains data structures for communications. @@ -178,49 +184,21 @@ Type: required Intent: in.
    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. -
    -Scope: global -
    -Type: optional -
    -Intent: in. -
    -Specified as: an integer variable -$-1\le root\le np-1$, default $-1$. + +

    On Return
    -
    loc_x
    -
    the local portion of global dense matrix -$glob\_x$. +
    Function value
    +
    is the 1-norm of vector $x$.
    -Scope: local -
    -Type: required -
    -Intent: out. +Scope: global
    -Specified as: a rank one or two array containing numbers of the type -indicated in Table 16. +Specified as: a long precision real number.
    info
    Error code. @@ -238,26 +216,26 @@ An integer value; 0 means no error has been detected.

    - next - + up - previous - contents
    - Next: Data management routines - Up: Communication routines - Previous: psb_gather Gather -   Next: psb_geasums Generalized + Up: Computational routines + Previous: psb_geamaxs Generalized +   Contents diff --git a/docs/html/node44.html b/docs/html/node44.html index de4b64e3..32646510 100644 --- a/docs/html/node44.html +++ b/docs/html/node44.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -Data management routines - +psb_geasums -- Generalized 1-Norm of Vector + @@ -18,114 +18,249 @@ original version by: Nikos Drakos, CBLU, University of Leeds - - - + + + - next - + up - previous - contents
    - Next: psb_cdall Allocates - Up: userhtml - Previous: psb_scatter Scatter -   Next: psb_genrm2 2-Norm + Up: Computational routines + Previous: psb_geasum 1-Norm +   Contents

    -

    - +

    +psb_geasums -- Generalized 1-Norm of Vector +

    + +

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

    +
    + + +\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: +

    +
    + + +\begin{displaymath}res(i) \leftarrow \Vert x_i\Vert\end{displaymath} +
    +
    +

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

    +
    + + +\begin{displaymath}res(i) \leftarrow \Vert re(x)\Vert _1 + \Vert im(x)\Vert _1\end{displaymath} +
    +
    +

    + +

    +

    +call psb_geasums(res, x, desc_a, info)
+
    + +

    +

    +
    + + + +
    Table 7: +Data types
    +
    + + + + + + + + + + + + + + + + + + + + + +
    $res$$x$Subroutine
    Short Precision RealShort Precision Realpsb_geasums
    Long Precision RealLong Precision Realpsb_geasums
    Short Precision RealShort Precision Complexpsb_geasums
    Long Precision RealLong Precision Complexpsb_geasums
    +
    +
    +

    +
    + +

    +

    +
    Type:
    +
    Synchronous. +
    +
    On Entry
    +
    +
    +
    x
    +
    the local portion of global dense matrix +$x$. + +
    +Scope: local +
    +Type: required +
    +Intent: in. +
    +Specified as: a rank one or two array +containing numbers of type specified in +Table 7. +
    +
    desc_a
    +
    contains data structures for communications. +
    +Scope: local +
    +Type: required +
    +Intent: in. +
    +Specified as: a structured data of type descdatapsb_desc_type. + +

    +

    +
    On Return
    +
    +
    +
    res
    +
    contains the 1-norm of (the columns of) $x$. +
    +Scope: global +
    +Intent: out.
    -Data management routines - +Short as: a long precision real number. +Specified as: a long precision real number. +
    +
    info
    +
    Error code. +
    +Scope: local +
    +Type: required +
    +Intent: out. +
    +An integer value; 0 means no error has been detected. +
    +

    -

    - -Subsections - - - -
    +
    + + +next + +up + +previous + +contents +
    + Next: psb_genrm2 2-Norm + Up: Computational routines + Previous: psb_geasum 1-Norm +   Contents + diff --git a/docs/html/node45.html b/docs/html/node45.html index 6fdf28b2..3fa4e1e7 100644 --- a/docs/html/node45.html +++ b/docs/html/node45.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -psb_cdall -- Allocates a communication descriptor - +psb_genrm2 -- 2-Norm of Vector + @@ -20,207 +20,186 @@ original version by: Nikos Drakos, CBLU, University of Leeds - + - next - + up - previous - contents
    - Next: psb_cdins Communication - Up: Data management routines - Previous: Data management routines -   Next: psb_genrm2s Generalized + Up: Computational routines + Previous: psb_geasums Generalized +   Contents

    -

    -psb_cdall -- Allocates a communication descriptor +

    +psb_genrm2 -- 2-Norm of Vector

    +

    +This function computes the 2-norm of a vector $x$. +
    +If $x$ is a double precision real vector +it computes 2-norm as: +

    +
    + + +\begin{displaymath}nrm2 \leftarrow \sqrt{x^T x}\end{displaymath} +
    +
    +

    +else if $x$ is double precision complex vector then it computes 2-norm as: +

    +
    + + +\begin{displaymath}nrm2 \leftarrow \sqrt{x^H x}\end{displaymath} +
    +
    +

    + +

    +

    +
    + + + +
    Table 8: +Data types
    +
    + + + + + + + + + + + + + + + + + + + + + +
    $nrm2$$x$Function
    Short Precision RealShort Precision Realpsb_genrm2
    Long Precision RealLong Precision Realpsb_genrm2
    Short Precision RealShort Precision Complexpsb_genrm2
    Long Precision RealLong Precision Complexpsb_genrm2
    +
    +
    +

    +
    + 

    -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.])
-call psb_cdall(icontxt, desc_a, info,nl=nl)
-call psb_cdall(icontxt, desc_a, info,mg=mg,repl=.true.)
+psb_genrm2(x, desc_a, info)

    -This subroutine initializes the communication descriptor associated -with an index space. One of the optional arguments -parts, vg, vl, nl or repl -must be specified, thereby choosing -the specific initialization strategy.

    -
    On Entry
    -
    -
    Type:
    Synchronous.
    -
    icontxt
    -
    the communication context. -
    -Scope:global. -
    -Type:required. -
    -Intent: in. -
    -Specified as: an integer value. +
    On Entry
    +
    -
    vg
    -
    Data allocation: each index +
    x
    +
    the local portion of global dense matrix $i\in \{1\dots mg\}$ is allocated - to process $vg(i)$. + WIDTH="14" HEIGHT="13" ALIGN="BOTTOM" BORDER="0" + SRC="img25.png" + ALT="$x$">.
    -Scope:global. +Scope: local
    -Type:optional. +Type: required
    Intent: in.
    -Specified as: an integer array. +Specified as: a rank one or two array +containing numbers of type specified in +Table 8.
    -
    flag
    -
    Specifies whether entries in $vg$ are zero- or one-based. +
    desc_a
    +
    contains data structures for communications.
    -Scope:global. +Scope: local
    -Type:optional. +Type: required
    Intent: in.
    -Specified as: an integer value $0,1$, default $0$. +Specified as: a structured data of type descdatapsb_desc_type.

    -
    mg
    -
    the (global) number of rows of the problem. -
    -Scope:global. -
    -Type:optional. -
    -Intent: in. -
    -Specified as: an integer value. It is required if parts or -repl is specified, it is optional if vg is specified. -
    -
    parts
    -
    the subroutine that defines the partitioning scheme. -
    -Scope:global. -
    -Type:required. -
    -Specified as: a subroutine. -
    -
    vl
    -
    Data allocation: the set of global indices - $vl(1:nl)$ belonging to the calling process. -
    -Scope:local. -
    -Type:optional. -
    -Intent: in. -
    -Specified as: an integer array. -
    -
    nl
    -
    Data allocation: in a generalized block-row distribution the - number of indices belonging to the current process. -
    -Scope:local. -
    -Type:optional. -
    -Intent: in. -
    -Specified as: an integer value. May be specified together with -vl. -
    -
    repl
    -
    Data allocation: build a replicated index space (i.e. all - processes own all indices). -
    -Scope:global. -
    -Type:optional. -
    -Intent: in. -
    -Specified as: the logical value .true. -
    -
    globalcheck
    -
    Data allocation: do global checks on the local - index lists vl -
    -Scope:global. -
    -Type:optional. -
    -Intent: in. -
    -Specified as: a logical value, default: .true. -
    -
    - -

    -

    On Return
    -
    desc_a
    -
    the communication descriptor. +
    Function Value
    +
    is the 2-norm of subvector $x$.
    -Scope:local. +Scope: global
    -Type:required. -
    -Intent: out. +Type: required
    -Specified as: a structured data of type descdatapsb_desc_type. +Specified as: a long precision real number.
    info
    Error code. @@ -235,188 +214,29 @@ An integer value; 0 means no error has been detected.
    -

    -Notes - -

      -
    1. One of the optional arguments parts, vg, - vl, nl or repl must be specified, thereby choosing the - initialization strategy as follows: -
      -
      parts
      -
      In this case we have a subroutine specifying the mapping - between global indices and process/local index pairs. If this - optional argument is specified, then it is mandatory to - specify the argument mg as well. - The subroutine must conform to the following interface: -
      -  interface 
-     subroutine psb_parts(glob_index,mg,np,pv,nv)
-       integer, intent (in)  :: glob_index,np,mg
-       integer, intent (out) :: nv, pv(*)
-     end subroutine psb_parts
-  end interface
-
      - The input arguments are: -
      -
      glob_index
      -
      The global index to be mapped; - -
      -
      np
      -
      The number of processes in the mapping; - -
      -
      mg
      -
      The total number of global rows in the mapping; - -
      -
      - The output arguments are: -
      -
      nv
      -
      The number of entries in pv; - -
      -
      pv
      -
      A vector containing the indices of the processes to - which the global index should be assigend; each entry must satisfy - -$0\le pv(i) < np$; if $nv>1$ we have an index assigned to multiple - processes, i.e. we have an overlap among the subdomains. - -
      -
      -
      -
      vg
      -
      In this case the association between an index and a process - is specified via an integer vector vg(1:mg); - each index -$i\in \{1\dots mg\}$ 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). -
      -
      vl
      -
      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 - in the calling processes. The size may be specified via the optional - argument nl; the default is to use the entire vector vl, thus having - 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 - presence of overlap in the input, and checking for ``orphan'' - indices. If globalcheck=.false., the subroutine will not - check for overlap, and may be significantly faster, but the user - is implicitly guaranteeing that there are neither orphan nor - overlap indices. -
      -
      nl
      -
      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 $N_I=nl$ global - indices. -
      -
      repl
      -
      This arguments specifies to replicate all indices on - all processes. This is a special purpose data allocation that is - useful in the construction of some multilevel preconditioners. -
      -
      -
      2. -
    2. On exit from this routine the descriptor is in the build - state. -
      3. -
    3. Calling the routine with vg or parts implies that - every process will scan the entire index space to figure out the - local indices. -
      4. -
    4. Overlapped indices are possible with both parts and - vl invocations. -
      5. -
    5. When the subroutine is invoked with vl in - conjunction with globalcheck=.true., it will perform a scan - of the index space to search for overlap or orphan indices. -
      6. -
    6. When the subroutine is invoked with vl in - conjunction with globalcheck=.false., no index space scan - will take place. Thus it is the responsibility of the user to make - sure that the indices specified in vl have neither orphans nor - overlaps; if this assumption fails, results will be - unpredictable. -
      7. -
    7. Orphan and overlap indices are - impossible by construction when the subroutine is invoked with - nl (alone), or vg. -
      8. -
    -

    - next - + up - previous - contents
    - Next: psb_cdins Communication - Up: Data management routines - Previous: Data management routines -   Next: psb_genrm2s Generalized + Up: Computational routines + Previous: psb_geasums Generalized +   Contents diff --git a/docs/html/node46.html b/docs/html/node46.html index 3bc5a73c..8abbd9db 100644 --- a/docs/html/node46.html +++ b/docs/html/node46.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -psb_cdins -- Communication descriptor insert routine - +psb_genrm2s -- Generalized 2-Norm of Vector + @@ -20,116 +20,163 @@ original version by: Nikos Drakos, CBLU, University of Leeds - + - next - + up - previous - contents
    - Next: psb_cdasb Communication - Up: Data management routines - Previous: psb_cdall Allocates -   Next: psb_spnrmi Infinity + Up: Computational routines + Previous: psb_genrm2 2-Norm +   Contents

    -

    -psb_cdins -- Communication descriptor insert routine +

    +psb_genrm2s -- Generalized 2-Norm of Vector

    +

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

    +
    + + +\begin{displaymath}res(i) \leftarrow \Vert x(:,i)\Vert _2 \end{displaymath} +
    +
    +

    + 

    -call psb_cdins(nz, ia, ja, desc_a, info)
+call psb_genrm2s(res, x, desc_a, info)

    -This subroutine examines the edges of the graph associated with the -discretization mesh (and isomorphic to the sparsity pattern of a -linear system coefficient matrix), storing them as necessary into the -communication descriptor. +

    +
    + + + +
    Table 9: +Data types
    +
    + + + + + + + + + + + + + + + + + + + + + +
    $res$$x$Subroutine
    Short Precision RealShort Precision Realpsb_genrm2s
    Long Precision RealLong Precision Realpsb_genrm2s
    Short Precision RealShort Precision Complexpsb_genrm2s
    Long Precision RealLong Precision Complexpsb_genrm2s
    +
    +
    +

    +

    Type:
    -
    Asynchronous. +
    Synchronous.
    On Entry
    -
    nz
    -
    the number of points being inserted. -
    -Scope: local. -
    -Type: required. -
    -Intent: in. -
    -Specified as: an integer value. -
    -
    ia
    -
    the indices of the starting vertex of the edges being inserted. +
    x
    +
    the local portion of global dense matrix +$x$. +
    -Scope: local. +Scope: local
    -Type: required. +Type: required
    Intent: in.
    -Specified as: an integer array of length $nz$. +Specified as: a rank one or two array +containing numbers of type specified in +Table 9.
    -
    ja
    -
    the indices of the end vertex of the edges being inserted. +
    desc_a
    +
    contains data structures for communications.
    -Scope: local. +Scope: local
    -Type: required. +Type: required
    Intent: in.
    -Specified as: an integer array of length $nz$. -
    -
    +Specified as: a structured data of type descdatapsb_desc_type.

    -

    +
    On Return
    -
    desc_a
    -
    the updated communication descriptor. -
    -Scope:local. +
    res
    +
    contains the 1-norm of (the columns of) $x$.
    -Type:required. +Scope: global
    -Intent: inout. +Intent: out.
    -Specified as: a structured data of type descdatapsb_desc_type. +Specified as: a long precision real number.
    info
    Error code. @@ -143,41 +190,30 @@ Intent: out. An integer value; 0 means no error has been detected.
    -Notes - -
      -
    1. This routine may only be called if the descriptor is in the - build state; -
      2. -
    2. This routine automatically ignores edges that do not -insist on the current process, i.e. edges for which neither the starting -nor the end vertex belong to the current process. -
      3. -

    - next - + up - previous - contents
    - Next: psb_cdasb Communication - Up: Data management routines - Previous: psb_cdall Allocates -   Next: psb_spnrmi Infinity + Up: Computational routines + Previous: psb_genrm2 2-Norm +   Contents diff --git a/docs/html/node47.html b/docs/html/node47.html index f59a2e29..784e2fe1 100644 --- a/docs/html/node47.html +++ b/docs/html/node47.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -psb_cdasb -- Communication descriptor assembly routine - +psb_spnrmi -- Infinity Norm of Sparse Matrix + @@ -20,44 +20,113 @@ original version by: Nikos Drakos, CBLU, University of Leeds - + - next - + up - previous - contents
    - Next: psb_cdcpy Copies - Up: Data management routines - Previous: psb_cdins Communication -   Next: psb_spmm Sparse + Up: Computational routines + Previous: psb_genrm2s Generalized +   Contents

    -

    -psb_cdasb -- Communication descriptor assembly routine +

    +psb_spnrmi -- Infinity Norm of Sparse Matrix

    +

    +This function computes the infinity-norm of a matrix $A$: +
    +

    +

    +
    + + +\begin{displaymath}nrmi \leftarrow \Vert A\Vert _\infty \end{displaymath} +
    +
    +

    +where: +
    +
    $A$
    +
    represents the global matrix $A$ +
    +
    + +

    +

    +
    + + + +
    Table 10: +Data types
    +
    + + + + + + + + + + + + + + + + +
    $A$Function
    Short Precision Realpsb_spnrmi
    Long Precision Realpsb_spnrmi
    Short Precision Complexpsb_spnrmi
    Long Precision Complexpsb_spnrmi
    +
    +
    +

    +
    + 

    -call psb_cdasb(desc_a, info)
+psb_spnrmi(A, desc_a, info)

    @@ -68,34 +137,44 @@ call psb_cdasb(desc_a, info)

    On Entry
    +
    a
    +
    the local portion of the global sparse matrix +$A$. +
    +Scope: local +
    +Type: required +
    +Intent: in. +
    +Specified as: a structured data of type spdatapsb_spmat_type. +
    desc_a
    -
    the communication descriptor. +
    contains data structures for communications.
    -Scope:local. +Scope: local
    -Type:required. +Type: required
    -Intent: inout. +Intent: in.
    Specified as: a structured data of type descdatapsb_desc_type.
    - - -

    -

    On Return
    -
    desc_a
    -
    the communication descriptor. -
    -Scope:local. +
    Function value
    +
    is the infinity-norm of sparse submatrix $A$.
    -Type:required. +Scope: global
    -Intent: inout. -
    -Specified as: a structured data of type descdatapsb_desc_type. +Specified as: a long precision real number.
    info
    Error code. @@ -109,16 +188,32 @@ Intent: out. An integer value; 0 means no error has been detected.
    -Notes - -
      -
    1. On exit from this routine the descriptor is in the assembled - state. -
      2. -

    -

    +
    + + +next + +up + +previous + +contents +
    + Next: psb_spmm Sparse + Up: Computational routines + Previous: psb_genrm2s Generalized +   Contents + diff --git a/docs/html/node48.html b/docs/html/node48.html index 494fb301..56281004 100644 --- a/docs/html/node48.html +++ b/docs/html/node48.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -psb_cdcpy -- Copies a communication descriptor - +psb_spmm -- Sparse Matrix by Dense Matrix Product + @@ -20,84 +20,373 @@ original version by: Nikos Drakos, CBLU, University of Leeds - + - next - + up - previous - contents
    - Next: psb_cdfree Frees - Up: Data management routines - Previous: psb_cdasb Communication -   Next: psb_spsm Triangular + Up: Computational routines + Previous: psb_spnrmi Infinity +   Contents

    -

    -psb_cdcpy -- Copies a communication descriptor +

    +psb_spmm -- Sparse Matrix by Dense Matrix Product

    +

    +This subroutine computes the Sparse Matrix by Dense Matrix Product: + +

    +
    +

    + + + + + +
    \begin{displaymath} +y \leftarrow \alpha P_r A P_c x + \beta y +\end{displaymath} +(1)
    +

    +
    +
    + + + + + +
    \begin{displaymath} +y \leftarrow \alpha P_r A^T P_c x + \beta y +\end{displaymath} +(2)
    +

    +
    +
    + + + + + +
    \begin{displaymath} +y \leftarrow \alpha P_r A^H P_c x + \beta y +\end{displaymath} +(3)
    +

    + +

    +where: +

    +
    $x$
    +
    is the global dense submatrix $x_{:, :}$ +
    +
    $y$
    +
    is the global dense submatrix $y_{:, :}$ +
    +
    $A$
    +
    is the global sparse submatrix $A$ +
    +
    $P_r, P_c$
    +
    are the permutation matrices. +
    +
    + +

    +

    +
    + + + +
    Table 11: +Data types
    +
    + + + + + + + + + + + + + + + + +
    $A$, $x$, $y$, $\alpha$, $\beta$Subroutine
    Short Precision Realpsb_spmm
    Long Precision Realpsb_spmm
    Short Precision Complexpsb_spmm
    Long Precision Complexpsb_spmm
    +
    +
    +

    +
    + 

    -call psb_cdcpy(desc_in, desc_out, info)
-
    +call psb_spmm(alpha, a, x, beta, y, desc_a, info) +call psb_spmm(alpha, a, x, beta, y,desc_a, info, & + & trans, work) +

    Type:
    -
    Asynchronous. +
    Synchronous.
    On Entry
    -
    desc_in
    -
    the communication descriptor. +
    alpha
    +
    the scalar $\alpha$.
    -Scope:local. +Scope: global
    -Type:required. +Type: required +
    +Intent: in. +
    +Specified as: a number of the data type indicated in +Table 11. +
    +
    a
    +
    the local portion of the sparse matrix +$A$. +
    +Scope: local +
    +Type: required +
    +Intent: in. +
    +Specified as: a structured data of type spdatapsb_spmat_type. +
    +
    x
    +
    the local portion of global dense matrix +$x$. + +
    +Scope: local +
    +Type: required +
    +Intent: in. +
    +Specified as: a rank one or two array +containing numbers of type specified in +Table 11. The rank of $x$ must be the same of $y$. +
    +
    beta
    +
    the scalar $\beta$. +
    +Scope: global +
    +Type: required +
    +Intent: in. +
    +Specified as: a number of the data type indicated in Table 11. +
    +
    y
    +
    the local portion of global dense matrix +$y$. + +
    +Scope: local +
    +Type: required +
    +Intent: inout. +
    +Specified as: a rank one or two array +containing numbers of type specified in +Table 11. The rank of $y$ must be the same of $x$. +
    +
    desc_a
    +
    contains data structures for communications. +
    +Scope: local +
    +Type: required
    Intent: in.
    Specified as: a structured data of type descdatapsb_desc_type. +
    +
    trans
    +
    indicate what kind of operation to perform. +
    +
    trans = N
    +
    the operation is specified by equation 1 +
    +
    trans = T
    +
    the operation is specified by equation +2 +
    +
    trans = C
    +
    the operation is specified by equation +3 +
    +
    +Scope: global +
    +Type: optional +
    +Intent: in. +
    +Default: $trans = N$ +
    +Specified as: a character variable.

    -
    +
    work
    +
    work array. +
    +Scope: local +
    +Type: optional +
    +Intent: inout. +
    +Specified as: a rank one array of the same type of $x$ and $y$ with +the TARGET attribute.

    -

    +
    On Return
    -
    desc_out
    -
    the communication descriptor copy. +
    y
    +
    the local portion of result submatrix $y$.
    -Scope:local. +Scope: local
    -Type:required. +Type: required
    -Intent: out. +Intent: inout.
    -Specified as: a structured data of type descdatapsb_desc_type. +Specified as: an array of rank one or two +containing numbers of type specified in +Table 11.
    info
    Error code. @@ -113,7 +402,30 @@ An integer value; 0 means no error has been detected.

    -

    +
    + + +next + +up + +previous + +contents +
    + Next: psb_spsm Triangular + Up: Computational routines + Previous: psb_spnrmi Infinity +   Contents + diff --git a/docs/html/node49.html b/docs/html/node49.html index 00fa09f8..3282764e 100644 --- a/docs/html/node49.html +++ b/docs/html/node49.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -psb_cdfree -- Frees a communication descriptor - +psb_spsm -- Triangular System Solve + @@ -18,47 +18,171 @@ original version by: Nikos Drakos, CBLU, University of Leeds - - + - next - + up - previous - contents
    - Next: psb_cdbldext Build - Up: Data management routines - Previous: psb_cdcpy Copies -   Next: Communication routines + Up: Computational routines + Previous: psb_spmm Sparse +   Contents

    -

    -psb_cdfree -- Frees a communication descriptor +

    +psb_spsm -- Triangular System Solve

    +

    +This subroutine computes the Triangular System Solve: + +

    +

    +
    + +\begin{eqnarray*} +y &\leftarrow& \alpha P_r T^{-1} P_c x + \beta y\\ +y &\leftar... +...\beta y\\ +y &\leftarrow& \alpha P_r T^{-H} P_c D x + \beta y\\ +\end{eqnarray*}
    +

    + +

    +where: +

    +
    $x$
    +
    is the global dense submatrix $x_{:, :}$ +
    +
    $y$
    +
    is the global dense submatrix $y_{:, :}$ +
    +
    $T$
    +
    is the global sparse block triangular submatrix $T$ +
    +
    $D$
    +
    is the scaling diagonal matrix. +
    +
    $P_r, P_c$
    +
    are the permutation matrices. +
    +
    + 

    -call psb_cdfree(desc_a, info)
-
    +call psb_spsm(alpha, t, x, beta, y, desc_a, info) +call psb_spsm(alpha, t, x, beta, y, desc_a, info,& + & trans, unit, choice, diag, work) + + +

    +

    +
    + + + +
    Table 12: +Data types
    +
    + + + + + + + + + + + + + + + + +
    $T$, $x$, $y$, $D$, $\alpha$, $\beta$Subroutine
    Short Precision Realpsb_spsm
    Long Precision Realpsb_spsm
    Short Precision Complexpsb_spsm
    Long Precision Complexpsb_spsm
    +
    +
    +

    +

    @@ -68,24 +192,247 @@ call psb_cdfree(desc_a, info)
    On Entry
    -
    desc_a
    -
    the communication descriptor to be freed. +
    alpha
    +
    the scalar $\alpha$. +
    +Scope: global
    -Scope:local. +Type: required
    -Type:required. +Intent: in. +
    +Specified as: a number of the data type indicated in +Table 12. +
    +
    t
    +
    the global portion of the sparse matrix +$T$. +
    +Scope: local +
    +Type: required +
    +Intent: in. +
    +Specified as: a structured data type specified in +§ 3. +
    +
    x
    +
    the local portion of global dense matrix +$x$. + +
    +Scope: local +
    +Type: required +
    +Intent: in. +
    +Specified as: a rank one or two array +containing numbers of type specified in +Table 12. The rank of $x$ must be the same of $y$. +
    +
    beta
    +
    the scalar $\beta$. +
    +Scope: global +
    +Type: required +
    +Intent: in. +
    +Specified as: a number of the data type indicated in Table 12. +
    +
    y
    +
    the local portion of global dense matrix +$y$. + +
    +Scope: local +
    +Type: required
    Intent: inout.
    +Specified as: a rank one or two array +containing numbers of type specified in +Table 12. The rank of $y$ must be the same of $x$. +
    +
    desc_a
    +
    contains data structures for communications. +
    +Scope: local +
    +Type: required +
    +Intent: in. +
    Specified as: a structured data of type descdatapsb_desc_type.
    +
    trans
    +
    specify with unitd the operation to perform. +
    +
    trans = 'N'
    +
    the operation is with no transposed matrix +
    +
    trans = 'T'
    +
    the operation is with transposed matrix. +
    +
    trans = 'C'
    +
    the operation is with conjugate transposed matrix. +
    +
    +Scope: global +
    +Type: optional +
    +Intent: in. +
    +Default: $trans = N$ +
    +Specified as: a character variable. +
    +
    unitd
    +
    specify with trans the operation to perform. +
    +
    unitd = 'U'
    +
    the operation is with no scaling +
    +
    unitd = 'L'
    +
    the operation is with left scaling +
    +
    unitd = 'R'
    +
    the operation is with right scaling. +
    +
    +Scope: global +
    +Type: optional +
    +Intent: in. +
    +Default: $unitd = U$ +
    +Specified as: a character variable. +
    +
    choice
    +
    specifies the update of overlap elements to be performed + on exit: +
    +
    +
    psb_none_ +
    +
    +
    psb_sum_ +
    +
    +
    psb_avg_ +
    +
    +
    psb_square_root_ +
    +Scope: global +
    +Type: optional +
    +Intent: in. +
    +Default: psb_avg_ +
    +Specified as: an integer variable. +
    +
    diag
    +
    the diagonal scaling matrix. +
    +Scope: local +
    +Type: optional +
    +Intent: in. +
    +Default: +$diag(1) = 1 (no scaling)$ +
    +Specified as: a rank one array containing numbers of the type +indicated in Table 12. +
    +
    work
    +
    a work array. +
    +Scope: local +
    +Type: optional +
    +Intent: inout. +
    +Specified as: a rank one array of the same type of $x$ with the +TARGET attribute.

    -

    +
    On Return
    +
    y
    +
    the local portion of global dense matrix +$y$. + +
    +Scope: local +
    +Type: required +
    +Intent: inout. +
    +Specified as: an array of rank one or two +containing numbers of type specified in +Table 12. +
    info
    Error code.
    @@ -100,7 +447,30 @@ An integer value; 0 means no error has been detected.

    -

    +
    + + +next + +up + +previous + +contents +
    + Next: Communication routines + Up: Computational routines + Previous: psb_spmm Sparse +   Contents + diff --git a/docs/html/node5.html b/docs/html/node5.html index 08ddb656..52bb0a15 100644 --- a/docs/html/node5.html +++ b/docs/html/node5.html @@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds - next - up - previous - contents
    - Next: Next: Application structure - Up: Up: General overview - Previous: Previous: Basic Nomenclature -   Contents

    @@ -107,14 +107,14 @@ The following naming scheme has been adopted for all the symbols internally defined in the PSBLAS software package:
      -
    • all the symbols (i.e. subroutine names, data types...) are +
    • all symbols (i.e. subroutine names, data types...) are prefixed by psb_
      • -
    • all the data type names are suffixed by _type +
    • all data type names are suffixed by _type
      • -
    • all the constant values are suffixed by _ +
    • all constants are suffixed by _
      • -
    • all the subroutine names follow the rule psb_xxname where +
    • all top-level subroutine names follow the rule psb_xxname where xx can be either:
        @@ -128,11 +128,11 @@ internally defined in the PSBLAS software package:
      For example the psb_geins, psb_spins and - psb_cdins perform the same action (see 6) on + psb_cdins perform the same action (see 6) on dense matrices, sparse matrices and communication descriptors respectively. Interface overloading allows the usage of the same subroutine - interfaces for both real and complex data. + names for both real and complex data.
    In the description of the subroutines, arguments or argument entries @@ -169,26 +169,26 @@ whose current value is 3.0.0

    - next - up - previous - contents
    - Next: Next: Application structure - Up: Up: General overview - Previous: Previous: Basic Nomenclature -   Contents diff --git a/docs/html/node50.html b/docs/html/node50.html index 95eb82ff..60b7170b 100644 --- a/docs/html/node50.html +++ b/docs/html/node50.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -psb_cdbldext -- Build an extended communication descriptor - +Communication routines + @@ -18,183 +18,63 @@ original version by: Nikos Drakos, CBLU, University of Leeds - - - + + + - next - + up - previous - contents
    - Next: psb_spall Allocates - Up: Data management routines - Previous: psb_cdfree Frees -   Next: psb_halo Halo + Up: userhtml + Previous: psb_spsm Triangular +   Contents

    -

    -psb_cdbldext -- Build an extended communication - descriptor -

    +

    +Communication routines +

    +The routines in this chapter implement various global communication operators +on vectors associated with a discretization mesh. For auxiliary communication +routines not tied to a discretization space see 6.

    -

    -call psb_cdbldext(a,desc_a,nl,desc_out, info, extype)
-
    +
    + +Subsections -

    -This subroutine builds an extended communication descriptor, based on -the input descriptor desc_a and on the stencil specified -through the input sparse matrix a. -

    -
    Type:
    -
    Synchronous. -
    -
    On Entry
    -
    -
    -
    a
    -
    A sparse matrix -Scope:local. -
    -Type:required. -
    -Intent: in. -
    -Specified as: a structured data type. -
    -
    desc_a
    -
    the communication descriptor. -
    -Scope:local. -
    -Type:required. -
    -Intent: in. -
    -Specified as: a structured data of type spdatapsb_spmat_type. -
    -
    nl
    -
    the number of additional layers desired. -
    -Scope:global. -
    -Type:required. -
    -Intent: in. -
    -Specified as: an integer value $nl\ge 0$. -
    -
    extype
    -
    the kind of estension required. -
    -Scope:global. -
    -Type:optional . -
    -Intent: in. -
    -Specified as: an integer value -psb_ovt_xhal_, psb_ovt_asov_, default: psb_ovt_xhal_ - -

    -

    -
    - -

    -

    -
    On Return
    -
    -
    -
    desc_out
    -
    the extended communication descriptor. -
    -Scope:local. -
    -Type:required. -
    -Intent: inout. -
    -Specified as: a structured data of type descdatapsb_desc_type. -
    -
    info
    -
    Error code. -
    -Scope: local -
    -Type: required -
    -Intent: out. -
    -An integer value; 0 means no error has been detected. -
    -
    - -

    -Notes - -

      -
    1. Specifying psb_ovt_xhal_ for the extype argument - the user will obtain a descriptor for a domain partition in which - the additional layers are fetched as part of an (extended) halo; - however the index-to-process mapping is identical to that of the - base descriptor; -
      2. -
    2. Specifying psb_ovt_asov_ for the extype argument - the user will obtain a descriptor with an overlapped decomposition: - the additional layer is aggregated to the local subdomain (and thus - is an overlap), and a new halo extending beyond the last additional - layer is formed. -
      3. -
    - -

    -

    - - -next - -up - -previous - -contents -
    - Next: psb_spall Allocates - Up: Data management routines - Previous: psb_cdfree Frees -   Contents - + + +
    diff --git a/docs/html/node51.html b/docs/html/node51.html index 9560d5ad..bd59901e 100644 --- a/docs/html/node51.html +++ b/docs/html/node51.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -psb_spall -- Allocates a sparse matrix - +psb_halo -- Halo Data Communication + @@ -20,44 +20,115 @@ original version by: Nikos Drakos, CBLU, University of Leeds - + - next - + up - previous - contents
    - Next: psb_spins Insert - Up: Data management routines - Previous: psb_cdbldext Build -   Next: psb_ovrl Overlap + Up: Communication routines + Previous: Communication routines +   Contents

    -

    -psb_spall -- Allocates a sparse matrix +

    +psb_halo -- Halo Data Communication

    +

    +These subroutines gathers the values of the halo +elements, and (optionally) scale the result: + +

    +

    +
    + + +\begin{displaymath}x \leftarrow \alpha x \end{displaymath} +
    +
    +

    +where: +
    +
    $x$
    +
    is a global dense submatrix. +
    +
    + +

    +

    +
    + + + +
    Table 13: +Data types
    +
    + + + + + + + + + + + + + + + + + + + +
    $\alpha$, $x$Subroutine
    Integerpsb_halo
    Short Precision Realpsb_halo
    Long Precision Realpsb_halo
    Short Precision Complexpsb_halo
    Long Precision Complexpsb_halo
    +
    +
    +

    +
    + 

    -call psb_spall(a, desc_a, info, nnz)
+call psb_halo(x, desc_a, info)
+call psb_halo(x, desc_a, info, alpha, work, data)

    @@ -68,49 +139,104 @@ call psb_spall(a, desc_a, info, nnz)

    On Entry
    +
    x
    +
    global dense matrix $x$. +
    +Scope: local +
    +Type: required +
    +Intent: inout. +
    +Specified as: a rank one or two array with the TARGET attribute +containing numbers of type specified in +Table 13. +
    desc_a
    -
    the communication descriptor. +
    contains data structures for communications.
    -Scope:local. +Scope: local
    -Type:required. +Type: required
    Intent: in.
    Specified as: a structured data of type descdatapsb_desc_type.
    -
    nnz
    -
    An estimate of the number of nonzeroes in the local - part of the assembled matrix. +
    alpha
    +
    the scalar $\alpha$.
    -Scope: global. +Scope: global
    -Type: optional. +Type: optional
    Intent: in.
    -Specified as: an integer value. +Default: $alpha = 1 $ +
    +Specified as: a number of the data type indicated in Table 13.
    - +
    work
    +
    the work array. +
    +Scope: local +
    +Type: optional +
    +Intent: inout. +
    +Specified as: a rank one array of the same type of $x$ with the +POINTER attribute. +
    +
    data
    +
    index list selector. +
    +Scope: global +
    +Type: optional +
    +Specified as: an integer. Values:psb_comm_halo_,psb_comm_mov_, +psb_comm_ext_, default: psb_comm_halo_. Chooses the +index list on which to base the data exchange.

    -

    +
    On Return
    -
    a
    -
    the matrix to be allocated. +
    x
    +
    global dense result matrix $x$.
    -Scope:local +Scope: local
    -Type:required +Type: required
    -Intent: out. +Intent: inout.
    -Specified as: a structured data of type spdatapsb_spmat_type. +Returned as: a rank one or two array +containing numbers of type specified in +Table 13.
    info
    -
    Error code. +
    the local portion of result submatrix $y$.
    Scope: local
    @@ -118,50 +244,408 @@ Type: required
    Intent: out.
    -An integer value; 0 means no error has been detected. +An integer value that contains an error code.
    -Notes - -
      -
    1. On exit from this routine the sparse matrix is in the build - state. -
      2. -
    2. The descriptor may be in either the build or assembled state. -
      3. -
    3. 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 - (potentially multiple) data reallocations. -
      4. -
    + +
    + + + +
    Figure 7: +Sample discretization mesh.
    +
    +\includegraphics[scale=0.45]{figures/try8x8.eps} + + +\rotatebox{-90}{\includegraphics[scale=0.45]{figures/try8x8}} + +
    +
    + +

    +Usage Example +Consider the discretization mesh depicted in fig. 7, +partitioned among two processes as shown by the dashed line; the data +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 +following: +
    +

    + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
    +Process 0  +Process 1
    + I GLOB(I) X(I)   I GLOB(I) X(I)
    + 1 1 1.0   1 33 2.0
    + 2 2 1.0   2 34 2.0
    + 3 3 1.0   3 35 2.0
    + 4 4 1.0   4 36 2.0
    + 5 5 1.0   5 37 2.0
    + 6 6 1.0   6 38 2.0
    + 7 7 1.0   7 39 2.0
    + 8 8 1.0   8 40 2.0
    + 9 9 1.0   9 41 2.0
    + 10 10 1.0   10 42 2.0
    + 11 11 1.0   11 43 2.0
    + 12 12 1.0   12 44 2.0
    + 13 13 1.0   13 45 2.0
    + 14 14 1.0   14 46 2.0
    + 15 15 1.0   15 47 2.0
    + 16 16 1.0   16 48 2.0
    + 17 17 1.0   17 49 2.0
    + 18 18 1.0   18 50 2.0
    + 19 19 1.0   19 51 2.0
    + 20 20 1.0   20 52 2.0
    +21 21 1.0   21 53 2.0
    +22 22 1.0   22 54 2.0
    +23 23 1.0   23 55 2.0
    +24 24 1.0   24 56 2.0
    +25 25 1.0   25 57 2.0
    +26 26 1.0   26 58 2.0
    +27 27 1.0   27 59 2.0
    +28 28 1.0   28 60 2.0
    +29 29 1.0   29 61 2.0
    +30 30 1.0   30 62 2.0
    +31 31 1.0   31 63 2.0
    +32 32 1.0   32 64 2.0
    +33 33 2.0   33 25 1.0
    +34 34 2.0   34 26 1.0
    +35 35 2.0   35 27 1.0
    +36 36 2.0   36 28 1.0
    +37 37 2.0   37 29 1.0
    +38 38 2.0   38 30 1.0
    +39 39 2.0   39 31 1.0
    +40 40 2.0   40 32 1.0
    +

    - next - + up - previous - contents
    - Next: psb_spins Insert - Up: Data management routines - Previous: psb_cdbldext Build -   Next: psb_ovrl Overlap + Up: Communication routines + Previous: Communication routines +   Contents diff --git a/docs/html/node52.html b/docs/html/node52.html index d654ec48..febb1e51 100644 --- a/docs/html/node52.html +++ b/docs/html/node52.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -psb_spins -- Insert a cloud of elements into a sparse matrix - +psb_ovrl -- Overlap Update + @@ -20,152 +20,231 @@ original version by: Nikos Drakos, CBLU, University of Leeds - + - next - + up - previous - contents
    - Next: psb_spasb Sparse - Up: Data management routines - Previous: psb_spall Allocates -   Next: psb_gather Gather + Up: Communication routines + Previous: psb_halo Halo +   Contents

    -

    -psb_spins -- Insert a cloud of elements into a sparse - matrix +

    +psb_ovrl -- Overlap Update

    +

    +These subroutines applies an overlap operator to the input vector: + +

    +

    +
    + + +\begin{displaymath}x \leftarrow Q x \end{displaymath} +
    +
    +

    +where: +
    +
    $x$
    +
    is the global dense submatrix $x$ +
    +
    $Q$
    +
    is the overlap operator; it is the composition of two +operators $ P_a$ and $ P^{T}$. +
    +
    + +

    +

    +
    + + + +
    Table 14: +Data types
    +
    + + + + + + + + + + + + + + + + +
    $x$Subroutine
    Short Precision Realpsb_ovrl
    Long Precision Realpsb_ovrl
    Short Precision Complexpsb_ovrl
    Long Precision Complexpsb_ovrl
    +
    +
    +

    +
    + 

    -call psb_spins(nz, ia, ja, val, a, desc_a, info)
-
    +call psb_ovrl(x, desc_a, info) +call psb_ovrl(x, desc_a, info, update=update_type, work=work) +

    Type:
    -
    Asynchronous. +
    Synchronous.
    On Entry
    -
    nz
    -
    the number of elements to be inserted. +
    x
    +
    global dense matrix $x$.
    -Scope:local. +Scope: local
    -Type:required. +Type: required
    -Intent: in. +Intent: inout.
    -Specified as: an integer scalar. +Specified as: a rank one or two array +containing numbers of type specified in +Table 14.
    -
    ia
    -
    the row indices of the elements to be inserted. +
    desc_a
    +
    contains data structures for communications.
    -Scope:local. +Scope: local
    -Type:required. +Type: required
    Intent: in.
    -Specified as: an integer array of size $nz$. +Specified as: a structured data of type descdatapsb_desc_type.
    -
    ja
    -
    the column indices of the elements to be inserted. -
    -Scope:local. -
    -Type:required. -
    -Intent: in. -
    -Specified as: an integer array of size $nz$. +
    update
    +
    Update operator. +
    +
    update = psb_none_
    +
    Do nothing; +
    +
    update = psb_add_
    +
    Sum overlap entries, i.e. apply $P^T$;
    -
    val
    -
    the elements to be inserted. +
    update = psb_avg_
    +
    Average overlap entries, i.e. apply $P_aP^T$; +
    +
    +Scope: global
    -Scope:local. +Intent: in.
    -Type:required. +Default: +$update\_type = psb\_avg\_ $
    -Intent: in. +Scope: global
    -Specified as: an array of size $nz$. Must be of the same type and kind -of the aspk component of the sparse matrix $a$. +Specified as: a integer variable.
    -
    desc_a
    -
    The communication descriptor. +
    work
    +
    the work array.
    -Scope: local. +Scope: local
    -Type: required. +Type: optional
    Intent: inout.
    -Specified as: a variable of type descdatapsb_desc_type. -
    -
    +Specified as: a one dimensional array of the same type of $x$.

    -

    +
    On Return
    -
    a
    -
    the matrix into which elements will be inserted. +
    x
    +
    global dense result matrix $x$.
    -Scope:local +Scope: local
    -Type:required +Type: required
    Intent: inout.
    -Specified as: a structured data of type spdatapsb_spmat_type. +Specified as: an array of rank one or two +containing numbers of type specified in +Table 14.
    -
    desc_a
    -
    The communication descriptor. -
    -Scope: local. -
    -Type: required. -
    -Intent: inout. -
    -Specified as: a variable of type descdatapsb_desc_type. -
    info
    Error code.
    @@ -183,54 +262,498 @@ An integer value; 0 means no error has been detected. Notes
      -
    1. On entry to this routine the descriptor may be in either the - build or assembled state. +
    2. If there is no overlap in the data distribution associated with + the descriptor, no operations are performed;
      3. -
    3. On entry to this routine the sparse matrix may be in either the - build or update state. +
    4. 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;
      5. -
    5. If the descriptor is in the build state, then the sparse matrix - must also be in the build state; the action of the routine is to - (implicitly) call psb_cdins to add entries to the sparsity - pattern; each sparse matrix entry implicitly defines a graph edge, - that is passed to the descriptor routine for the appropriate - processing. -
      6. -
    6. Any coefficients from matrix rows not assigned to the calling - process are silently ignored; -
      7. -
    7. If the descriptor is in the assembled state, then any entries in - the sparse matrix that would generate additional communication - requirements will be ignored; -
      8. -
    8. If the matrix is in the update state, any entries in positions - that were not present in the original matrix will be ignored. +
    9. 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 +their instances.
    +

    + +

    + + + +
    Figure 8: +Sample discretization mesh.
    +
    +\includegraphics[scale=0.65]{figures/try8x8_ov.eps} + + +\rotatebox{-90}{\includegraphics[scale=0.65]{figures/try8x8_ov}} + +
    +
    + +Example of use +Consider the discretization mesh depicted in fig. 8, +partitioned among two processes as shown by the dashed lines, with an +overlap of 1 extra layer with respect to the partition of +fig. 7; the data +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 +psb_halo_ the contents of the local vectors will be the +following (showing a transition among the two subdomains) + +

    +
    +

    + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +
    +Process 0  +Process 1
    + I GLOB(I) X(I)   I GLOB(I) X(I)
    + 1 1 1.0   1 33 1.5
    + 2 2 1.0   2 34 1.5
    + 3 3 1.0   3 35 1.5
    + 4 4 1.0   4 36 1.5
    + 5 5 1.0   5 37 1.5
    + 6 6 1.0   6 38 1.5
    + 7 7 1.0   7 39 1.5
    + 8 8 1.0   8 40 1.5
    + 9 9 1.0   9 41 2.0
    + 10 10 1.0   10 42 2.0
    + 11 11 1.0   11 43 2.0
    + 12 12 1.0   12 44 2.0
    + 13 13 1.0   13 45 2.0
    + 14 14 1.0   14 46 2.0
    + 15 15 1.0   15 47 2.0
    + 16 16 1.0   16 48 2.0
    + 17 17 1.0   17 49 2.0
    + 18 18 1.0   18 50 2.0
    + 19 19 1.0   19 51 2.0
    + 20 20 1.0   20 52 2.0
    + 21 21 1.0   21 53 2.0
    + 22 22 1.0   22 54 2.0
    + 23 23 1.0   23 55 2.0
    + 24 24 1.0   24 56 2.0
    + 25 25 1.5   25 57 2.0
    + 26 26 1.5   26 58 2.0
    + 27 27 1.5   27 59 2.0
    + 28 28 1.5   28 60 2.0
    + 29 29 1.5   29 61 2.0
    + 30 30 1.5   30 62 2.0
    + 31 31 1.5   31 63 2.0
    + 32 32 1.5   32 64 2.0
    + 33 33 1.5   33 25 1.5
    + 34 34 1.5   34 26 1.5
    + 35 35 1.5   35 27 1.5
    + 36 36 1.5   36 28 1.5
    + 37 37 1.5   37 29 1.5
    + 38 38 1.5   38 30 1.5
    + 39 39 1.5   39 31 1.5
    + 40 40 1.5   40 32 1.5
    + 41 41 2.0   41 17 1.0
    + 42 42 2.0   42 18 1.0
    + 43 43 2.0   43 19 1.0
    + 44 44 2.0   44 20 1.0
    + 45 45 2.0   45 21 1.0
    + 46 46 2.0   46 22 1.0
    + 47 47 2.0   47 23 1.0
    + 48 48 2.0   48 24 1.0
    +
    +

    - next - + up - previous - contents
    - Next: psb_spasb Sparse - Up: Data management routines - Previous: psb_spall Allocates -   Next: psb_gather Gather + Up: Communication routines + Previous: psb_halo Halo +   Contents diff --git a/docs/html/node53.html b/docs/html/node53.html index 645f2d12..3066418e 100644 --- a/docs/html/node53.html +++ b/docs/html/node53.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -psb_spasb -- Sparse matrix assembly routine - +psb_gather -- Gather Global Dense Matrix + @@ -20,44 +20,135 @@ original version by: Nikos Drakos, CBLU, University of Leeds - + - next - + up - previous - contents
    - Next: psb_spfree Frees - Up: Data management routines - Previous: psb_spins Insert -   Next: psb_scatter Scatter + Up: Communication routines + Previous: psb_ovrl Overlap +   Contents

    -

    -psb_spasb -- Sparse matrix assembly routine +

    +psb_gather -- Gather Global Dense Matrix

    +

    +These subroutines collect the portions of global dense matrix +distributed over all process into one single array stored on one +process. + +

    +

    +
    + + +\begin{displaymath}glob\_x \leftarrow collect(loc\_x_i) \end{displaymath} +
    +
    +

    +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 $i$. +
    +
    $collect$
    +
    is the collect function. +
    +
    + +

    +

    +
    + + + +
    Table 15: +Data types
    +
    + + + + + + + + + + + + + + + + + + + +
    $x_i, y$Subroutine
    Integerpsb_gather
    Short Precision Realpsb_gather
    Long Precision Realpsb_gather
    Short Precision Complexpsb_gather
    Long Precision Complexpsb_gather
    +
    +
    +

    +
    + 

    -call psb_spasb(a, desc_a, info, afmt, upd, dupl)
+call psb_gather(glob_x, loc_x, desc_a, info, root)
+call psb_gather(glob_x, loc_x, desc_a, info, root)

    @@ -68,68 +159,70 @@ call psb_spasb(a, desc_a, info, afmt, upd, dupl)

    On Entry
    -
    desc_a
    -
    the communication descriptor. -
    -Scope:local. +
    loc_x
    +
    the local portion of global dense matrix +$glob\_x$.
    -Type:required. -
    -Intent: in. -
    -Specified as: a structured data of type descdatapsb_desc_type. -
    -
    afmt
    -
    the storage format for the sparse matrix. -
    -Scope: global. +Scope: local
    -Type: optional. +Type: required
    Intent: in.
    -Specified as: an array of characters. Defalt: 'CSR'. +Specified as: a rank one or two array containing numbers of the type +indicated in Table 15.
    -
    upd
    -
    Provide for updates to the matrix coefficients. +
    desc_a
    +
    contains data structures for communications.
    -Scope: global. +Scope: local
    -Type: optional. +Type: required
    Intent: in.
    -Specified as: integer, possible values: psb_upd_srch_, psb_upd_perm_ +Specified as: a structured data of type descdatapsb_desc_type.
    -
    dupl
    -
    How to handle duplicate coefficients. +
    root
    +
    The process that holds the global copy. If $root=-1$ all + the processes will have a copy of the global vector.
    -Scope: global. +Scope: global
    -Type: optional. +Type: optional
    Intent: in.
    -Specified as: integer, possible values: psb_dupl_ovwrt_, -psb_dupl_add_, psb_dupl_err_. +Specified as: an integer variable +$-1\le root\le np-1$, default $-1$.
    -
    - -

    -

    On Return
    -
    a
    -
    the matrix to be assembled. +
    glob_x
    +
    The array where the local parts must be gathered.
    -Scope:local +Scope: global
    -Type:required +Type: required
    -Intent: inout. +Intent: out.
    -Specified as: a structured data of type spdatapsb_spmat_type. +Specified as: a rank one or two array.
    info
    Error code. @@ -144,52 +237,29 @@ An integer value; 0 means no error has been detected.
    -

    -Notes - -

      -
    1. On entry to this routine the descriptor must be in the - assembled state, i.e. psb_cdasb must already have been called. -
      2. -
    2. The sparse matrix may be in either the build or update state; -
      3. -
    3. Duplicate entries are detected and handled in both build and - update state, with the exception of the error action that is only - taken in the build state, i.e. on the first assembly; -
      4. -
    4. If the update choice is psb_upd_perm_, then subsequent - calls to psb_spins to update the matrix must be arranged in - such a way as to produce exactly the same sequence of coefficient - values as encountered at the first assembly; -
      5. -
    5. On exit from this routine the matrix is in the assembled state, - and thus is suitable for the computational routines. -
      6. -
    -

    - next - + up - previous - contents
    - Next: psb_spfree Frees - Up: Data management routines - Previous: psb_spins Insert -   Next: psb_scatter Scatter + Up: Communication routines + Previous: psb_ovrl Overlap +   Contents diff --git a/docs/html/node54.html b/docs/html/node54.html index b20062ac..36f43dcc 100644 --- a/docs/html/node54.html +++ b/docs/html/node54.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -psb_spfree -- Frees a sparse matrix - +psb_scatter -- Scatter Global Dense Matrix + @@ -18,46 +18,135 @@ original version by: Nikos Drakos, CBLU, University of Leeds - - + - next - + up - previous - contents
    - Next: psb_sprn Reinit - Up: Data management routines - Previous: psb_spasb Sparse -   Next: Data management routines + Up: Communication routines + Previous: psb_gather Gather +   Contents

    -

    -psb_spfree -- Frees a sparse matrix +

    +psb_scatter -- Scatter Global Dense Matrix

    +

    +These subroutines scatters the portions of global dense matrix owned +by a process to all the processes in the processes grid. + +

    +

    +
    + + +\begin{displaymath}loc\_x_i \leftarrow scatter(glob\_x) \end{displaymath} +
    +
    +

    +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 $i$. +
    +
    $scatter$
    +
    is the scatter function. +
    +
    + +

    +

    +
    + + + +
    Table 16: +Data types
    +
    + + + + + + + + + + + + + + + + + + + +
    $x_i, y$Subroutine
    Integerpsb_scatter
    Short Precision Realpsb_scatter
    Long Precision Realpsb_scatter
    Short Precision Complexpsb_scatter
    Long Precision Complexpsb_scatter
    +
    +
    +

    +
    + 

    -call psb_spfree(a, desc_a, info)
+call psb_scatter(glob_x, loc_x, desc_a, info, root)
+call psb_scatter(glob_x, loc_x, desc_a, info, root)

    @@ -68,35 +157,71 @@ call psb_spfree(a, desc_a, info)

    On Entry
    -
    a
    -
    the matrix to be freed. +
    glob_x
    +
    The array that must be scattered into local pieces.
    -Scope:local +Scope: global
    -Type:required +Type: required
    -Intent: inout. +Intent: in.
    -Specified as: a structured data of type spdatapsb_spmat_type. +Specified as: a rank one or two array.
    desc_a
    -
    the communication descriptor. +
    contains data structures for communications.
    -Scope:local. +Scope: local
    -Type:required. +Type: required
    Intent: in.
    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. +
    +Scope: global +
    +Type: optional +
    +Intent: in. +
    +Specified as: an integer variable +$-1\le root\le np-1$, default $-1$. +
    On Return
    +
    loc_x
    +
    the local portion of global dense matrix +$glob\_x$. +
    +Scope: local +
    +Type: required +
    +Intent: out. +
    +Specified as: a rank one or two array containing numbers of the type +indicated in Table 16. +
    info
    Error code.
    @@ -111,7 +236,30 @@ An integer value; 0 means no error has been detected.

    -

    +
    + + +next + +up + +previous + +contents +
    + Next: Data management routines + Up: Communication routines + Previous: psb_gather Gather +   Contents + diff --git a/docs/html/node55.html b/docs/html/node55.html index 27c4e778..789becdb 100644 --- a/docs/html/node55.html +++ b/docs/html/node55.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -psb_sprn -- Reinit sparse matrix structure for psblas routines. - +Data management routines + @@ -18,118 +18,113 @@ original version by: Nikos Drakos, CBLU, University of Leeds - - - + + + - next - + up - previous - contents
    - Next: psb_geall Allocates - Up: Data management routines - Previous: psb_spfree Frees -   Next: psb_cdall Allocates + Up: userhtml + Previous: psb_scatter Scatter +   Contents

    -

    -psb_sprn -- Reinit sparse matrix structure for psblas - routines. -

    - -

    -

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

    -

    -
    Type:
    -
    Synchronous. -
    -
    On Entry
    -
    -
    -
    a
    -
    the matrix to be reinitialized. -
    -Scope:local -
    -Type:required -
    -Intent: inout. -
    -Specified as: a structured data of type spdatapsb_spmat_type. -
    -
    desc_a
    -
    the communication descriptor. -
    -Scope:local. -
    -Type:required. -
    -Intent: in. +

    +
    -Specified as: a structured data of type descdatapsb_desc_type. -

    -
    clear
    -
    Choose whether to zero out matrix coefficients -
    -Scope:local. -
    -Type:optional. -
    -Intent: in. -
    -Default: true. -
    -
    +Data management routines +

    -

    -
    On Return
    -
    -
    -
    info
    -
    Error code. -
    -Scope: local -
    -Type: required -
    -Intent: out. -
    -An integer value; 0 means no error has been detected. -
    -
    -Notes - -
      -
    1. On exit from this routine the sparse matrix is in the update - state. -
      2. -
    +
    + +Subsections -

    +

    +
    diff --git a/docs/html/node56.html b/docs/html/node56.html index 3c7cfdd7..8917d80f 100644 --- a/docs/html/node56.html +++ b/docs/html/node56.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -psb_geall -- Allocates a dense matrix - +psb_cdall -- Allocates a communication descriptor + @@ -20,100 +20,189 @@ original version by: Nikos Drakos, CBLU, University of Leeds - + - next - + up - previous - contents
    - Next: psb_geins Dense - Up: Data management routines - Previous: psb_sprn Reinit -   Next: psb_cdins Communication + Up: Data management routines + Previous: Data management routines +   Contents

    -

    -psb_geall -- Allocates a dense matrix +

    +psb_cdall -- Allocates a communication descriptor 

    -call psb_geall(x, desc_a, info, n, lb)
+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.])
+call psb_cdall(icontxt, desc_a, info,nl=nl)
+call psb_cdall(icontxt, desc_a, info,mg=mg,repl=.true.)

    +This subroutine initializes the communication descriptor associated +with an index space. One of the optional arguments +parts, vg, vl, nl or repl +must be specified, thereby choosing +the specific initialization strategy.

    +
    On Entry
    +
    +
    Type:
    Synchronous.
    -
    On Entry
    -
    +
    icontxt
    +
    the communication context. +
    +Scope:global. +
    +Type:required. +
    +Intent: in. +
    +Specified as: an integer value.
    -
    desc_a
    -
    The communication descriptor. +
    vg
    +
    Data allocation: each index +$i\in \{1\dots mg\}$ is allocated + to process $vg(i)$.
    -Scope: local +Scope:global.
    -Type: required +Type:optional.
    Intent: in.
    -Specified as: a variable of type descdatapsb_desc_type. -
    -
    n
    -
    The number of columns of the dense matrix to be allocated. +Specified as: an integer array. +
    +
    flag
    +
    Specifies whether entries in $vg$ are zero- or one-based.
    -Scope: local +Scope:global.
    -Type: optional +Type:optional.
    Intent: in.
    -Specified as: Integer scalar, default $0,1$, default $1$. It is not a valid argument if $x$ is a -rank-1 array. + SRC="img88.png" + ALT="$0$">. + +

    -
    lb
    -
    The lower bound for the column index range of the dense matrix to be allocated. +
    mg
    +
    the (global) number of rows of the problem.
    -Scope: local +Scope:global.
    -Type: optional +Type:optional.
    Intent: in.
    -Specified as: Integer scalar, default $1$. It is not a valid argument if $x$ is a -rank-1 array. +Specified as: an integer value. It is required if parts or +repl is specified, it is optional if vg is specified. +
    +
    parts
    +
    the subroutine that defines the partitioning scheme. +
    +Scope:global. +
    +Type:required. +
    +Specified as: a subroutine. +
    +
    vl
    +
    Data allocation: the set of global indices + $vl(1:nl)$ belonging to the calling process. +
    +Scope:local. +
    +Type:optional. +
    +Intent: in. +
    +Specified as: an integer array. +
    +
    nl
    +
    Data allocation: in a generalized block-row distribution the + number of indices belonging to the current process. +
    +Scope:local. +
    +Type:optional. +
    +Intent: in. +
    +Specified as: an integer value. May be specified together with +vl. +
    +
    repl
    +
    Data allocation: build a replicated index space (i.e. all + processes own all indices). +
    +Scope:global. +
    +Type:optional. +
    +Intent: in. +
    +Specified as: the logical value .true. +
    +
    globalcheck
    +
    Data allocation: do global checks on the local + index lists vl +
    +Scope:global. +
    +Type:optional. +
    +Intent: in. +
    +Specified as: a logical value, default: .true.
    @@ -122,18 +211,17 @@ rank-1 array.
    On Return
    -
    x
    -
    The dense matrix to be allocated. +
    desc_a
    +
    the communication descriptor.
    -Scope: local +Scope:local.
    -Type: required +Type:required.
    Intent: out.
    -Specified as: a rank one or two array with the ALLOCATABLE -attribute, of type real, complex or integer. -
    +Specified as: a structured data of type descdatapsb_desc_type. +
    info
    Error code.
    @@ -148,7 +236,189 @@ An integer value; 0 means no error has been detected.

    -

    +Notes + +
      +
    1. One of the optional arguments parts, vg, + vl, nl or repl must be specified, thereby choosing the + initialization strategy as follows: +
      +
      parts
      +
      In this case we have a subroutine specifying the mapping + between global indices and process/local index pairs. If this + optional argument is specified, then it is mandatory to + specify the argument mg as well. + The subroutine must conform to the following interface: +
      +  interface 
+     subroutine psb_parts(glob_index,mg,np,pv,nv)
+       integer, intent (in)  :: glob_index,np,mg
+       integer, intent (out) :: nv, pv(*)
+     end subroutine psb_parts
+  end interface
+
      + The input arguments are: +
      +
      glob_index
      +
      The global index to be mapped; + +
      +
      np
      +
      The number of processes in the mapping; + +
      +
      mg
      +
      The total number of global rows in the mapping; + +
      +
      + The output arguments are: +
      +
      nv
      +
      The number of entries in pv; + +
      +
      pv
      +
      A vector containing the indices of the processes to + which the global index should be assigend; each entry must satisfy + +$0\le pv(i) < np$; if $nv>1$ we have an index assigned to multiple + processes, i.e. we have an overlap among the subdomains. + +
      +
      +
      +
      vg
      +
      In this case the association between an index and a process + is specified via an integer vector vg(1:mg); + each index +$i\in \{1\dots mg\}$ 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). +
      +
      vl
      +
      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 + in the calling processes. The size may be specified via the optional + argument nl; the default is to use the entire vector vl, thus having + 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 + presence of overlap in the input, and checking for ``orphan'' + indices. If globalcheck=.false., the subroutine will not + check for overlap, and may be significantly faster, but the user + is implicitly guaranteeing that there are neither orphan nor + overlap indices. +
      +
      nl
      +
      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 $N_I=nl$ global + indices. +
      +
      repl
      +
      This arguments specifies to replicate all indices on + all processes. This is a special purpose data allocation that is + useful in the construction of some multilevel preconditioners. +
      +
      +
      2. +
    2. On exit from this routine the descriptor is in the build + state. +
      3. +
    3. Calling the routine with vg or parts implies that + every process will scan the entire index space to figure out the + local indices. +
      4. +
    4. Overlapped indices are possible with both parts and + vl invocations. +
      5. +
    5. When the subroutine is invoked with vl in + conjunction with globalcheck=.true., it will perform a scan + of the index space to search for overlap or orphan indices. +
      6. +
    6. When the subroutine is invoked with vl in + conjunction with globalcheck=.false., no index space scan + will take place. Thus it is the responsibility of the user to make + sure that the indices specified in vl have neither orphans nor + overlaps; if this assumption fails, results will be + unpredictable. +
      7. +
    7. Orphan and overlap indices are + impossible by construction when the subroutine is invoked with + nl (alone), or vg. +
      8. +
    + +

    +

    + + +next + +up + +previous + +contents +
    + Next: psb_cdins Communication + Up: Data management routines + Previous: Data management routines +   Contents + diff --git a/docs/html/node57.html b/docs/html/node57.html index f8a07e95..06b28b64 100644 --- a/docs/html/node57.html +++ b/docs/html/node57.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -psb_geins -- Dense matrix insertion routine - +psb_cdins -- Communication descriptor insert routine + @@ -20,46 +20,52 @@ original version by: Nikos Drakos, CBLU, University of Leeds - + - next - + up - previous - contents
    - Next: psb_geasb Assembly - Up: Data management routines - Previous: psb_geall Allocates -   Next: psb_cdasb Communication + Up: Data management routines + Previous: psb_cdall Allocates +   Contents

    -

    -psb_geins -- Dense matrix insertion routine +

    +psb_cdins -- Communication descriptor insert routine 

    -call psb_geins(m, irw, val, x, desc_a, info,dupl)
+call psb_cdins(nz, ia, ja, desc_a, info)
    +

    +This subroutine examines the edges of the graph associated with the +discretization mesh (and isomorphic to the sparsity pattern of a +linear system coefficient matrix), storing them as necessary into the +communication descriptor. +

    Type:
    @@ -68,75 +74,44 @@ call psb_geins(m, irw, val, x, desc_a, info,dupl)
    On Entry
    -
    m
    -
    Number of rows in $val$ to be inserted. -
    -Scope:local. -
    -Type:required. -
    -Intent: in. -
    -Specified as: an integer value. -
    -
    irw
    -
    Indices of the rows to be inserted. Specifically, row $i$ - of $val$ will be inserted into the local row corresponding to the - global row index $irw(i)$. -Scope:local. -
    -Type:required. -
    -Intent: in. -
    -Specified as: an integer array. -
    -
    val
    -
    the dense submatrix to be inserted. +
    nz
    +
    the number of points being inserted.
    -Scope:local. +Scope: local.
    -Type:required. +Type: required.
    Intent: in.
    -Specified as: a rank 1 or 2 array. Specified as: an integer value.
    -
    desc_a
    -
    the communication descriptor. +
    ia
    +
    the indices of the starting vertex of the edges being inserted.
    -Scope:local. +Scope: local.
    -Type:required. +Type: required.
    Intent: in.
    -Specified as: a structured data of type descdatapsb_desc_type. +Specified as: an integer array of length $nz$.
    -
    dupl
    -
    How to handle duplicate coefficients. +
    ja
    +
    the indices of the end vertex of the edges being inserted.
    -Scope: global. +Scope: local.
    -Type: optional. +Type: required.
    Intent: in.
    -Specified as: integer, possible values: psb_dupl_ovwrt_, -psb_dupl_add_. +Specified as: an integer array of length $nz$.
    @@ -145,18 +120,17 @@ Specified as: integer, possible values: psb_dupl_ovwrt_,
    On Return
    -
    x
    -
    the output dense matrix. +
    desc_a
    +
    the updated communication descriptor.
    -Scope: local +Scope:local.
    -Type: required +Type:required.
    Intent: inout.
    -Specified as: a rank one or two array with the ALLOCATABLE -attribute, of type real, complex or integer. -
    +Specified as: a structured data of type descdatapsb_desc_type. +
    info
    Error code.
    @@ -169,41 +143,41 @@ Intent: out. An integer value; 0 means no error has been detected.
    - -

    Notes

      -
    1. Dense vectors/matrices do not have an associated state; +
    2. This routine may only be called if the descriptor is in the + build state;
      3. -
    3. Duplicate entries are either overwritten or added, there is no - provision for raising an error condition. +
    4. This routine automatically ignores edges that do not +insist on the current process, i.e. edges for which neither the starting +nor the end vertex belong to the current process.

    - next - + up - previous - contents
    - Next: psb_geasb Assembly - Up: Data management routines - Previous: psb_geall Allocates -   Next: psb_cdasb Communication + Up: Data management routines + Previous: psb_cdall Allocates +   Contents diff --git a/docs/html/node58.html b/docs/html/node58.html index 70d5c058..e69857e5 100644 --- a/docs/html/node58.html +++ b/docs/html/node58.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -psb_geasb -- Assembly a dense matrix - +psb_cdasb -- Communication descriptor assembly routine + @@ -20,44 +20,44 @@ original version by: Nikos Drakos, CBLU, University of Leeds - + - next - + up - previous - contents
    - Next: psb_gefree Frees - Up: Data management routines - Previous: psb_geins Dense -   Next: psb_cdcpy Copies + Up: Data management routines + Previous: psb_cdins Communication +   Contents

    -

    -psb_geasb -- Assembly a dense matrix +

    +psb_cdasb -- Communication descriptor assembly routine 

    -call psb_geasb(x, desc_a, info)
+call psb_cdasb(desc_a, info)

    @@ -69,16 +69,16 @@ call psb_geasb(x, desc_a, info)

    desc_a
    -
    The communication descriptor. +
    the communication descriptor.
    -Scope: local +Scope:local.
    -Type: required +Type:required.
    -Intent: in. +Intent: inout.
    -Specified as: a variable of type descdatapsb_desc_type. -
    +Specified as: a structured data of type descdatapsb_desc_type. +

    @@ -86,18 +86,17 @@ Specified as: a variable of type descdatapsb_desc_type.

    On Return
    -
    x
    -
    The dense matrix to be assembled. +
    desc_a
    +
    the communication descriptor.
    -Scope: local +Scope:local.
    -Type: required +Type:required.
    Intent: inout.
    -Specified as: a rank one or two array with the ALLOCATABLE -attribute, of type real, complex or integer. -
    +Specified as: a structured data of type descdatapsb_desc_type. +
    info
    Error code.
    @@ -110,6 +109,15 @@ Intent: out. An integer value; 0 means no error has been detected.
    +Notes + +
      +
    1. On exit from this routine the descriptor is in the assembled + state. +
      2. +
    + +


    diff --git a/docs/html/node59.html b/docs/html/node59.html index 5be73a71..81fe7c90 100644 --- a/docs/html/node59.html +++ b/docs/html/node59.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -psb_gefree -- Frees a dense matrix - +psb_cdcpy -- Copies a communication descriptor + @@ -20,80 +20,67 @@ original version by: Nikos Drakos, CBLU, University of Leeds - + - next - + up - previous - contents
    - Next: psb_gelp Applies - Up: Data management routines - Previous: psb_geasb Assembly -   Next: psb_cdfree Frees + Up: Data management routines + Previous: psb_cdasb Communication +   Contents

    -

    -psb_gefree -- Frees a dense matrix +

    +psb_cdcpy -- Copies a communication descriptor 

    -call psb_gefree(x, desc_a, info)
+call psb_cdcpy(desc_in, desc_out, info)

    Type:
    -
    Synchronous. +
    Asynchronous.
    On Entry
    -
    x
    -
    The dense matrix to - be freed. +
    desc_in
    +
    the communication descriptor.
    -Scope: local -
    -Type: required +Scope:local.
    -Intent: inout. +Type:required.
    -Specified as: a rank one or two array with the ALLOCATABLE -attribute, of type real, complex or integer. +Intent: in.
    +Specified as: a structured data of type descdatapsb_desc_type. +

    -
    desc_a
    -
    The communication descriptor. -
    -Scope: local -
    -Type: required -
    -Intent: in. -
    -Specified as: a variable of type descdatapsb_desc_type. -

    @@ -101,6 +88,17 @@ Specified as: a variable of type descdatapsb_desc_type.

    On Return
    +
    desc_out
    +
    the communication descriptor copy. +
    +Scope:local. +
    +Type:required. +
    +Intent: out. +
    +Specified as: a structured data of type descdatapsb_desc_type. +
    info
    Error code.
    diff --git a/docs/html/node6.html b/docs/html/node6.html index dc86daf7..af78326b 100644 --- a/docs/html/node6.html +++ b/docs/html/node6.html @@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds - next - up - previous - contents
    - Next: Next: Programming model - Up: Up: General overview - Previous: Previous: Library contents -   Contents

    @@ -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 @@ -174,7 +174,7 @@ follows: This is the structure of the sample program -test/pargen/ppde90.f90. +test/pargen/ppde.f90.

    For a simulation in which the same discretization mesh is used over @@ -244,26 +244,26 @@ from optimal.

    - next - up - previous - contents
    - Next: Next: Programming model - Up: Up: General overview - Previous: Previous: Library contents -   Contents diff --git a/docs/html/node60.html b/docs/html/node60.html index 5438798f..0d218d1d 100644 --- a/docs/html/node60.html +++ b/docs/html/node60.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -psb_gelp -- Applies a left permutation to a dense matrix - +psb_cdfree -- Frees a communication descriptor + @@ -20,100 +20,65 @@ original version by: Nikos Drakos, CBLU, University of Leeds - + - next - + up - previous - contents
    - Next: psb_glob_to_loc Global - Up: Data management routines - Previous: psb_gefree Frees -   Next: psb_cdbldext Build + Up: Data management routines + Previous: psb_cdcpy Copies +   Contents

    -

    -psb_gelp -- Applies a left permutation to a dense - matrix +

    +psb_cdfree -- Frees a communication descriptor 

    -call psb_gelp(trans, iperm, x, info)
+call psb_cdfree(desc_a, info)

    Type:
    -
    Asynchronous. +
    Synchronous.
    On Entry
    -
    trans
    -
    A character that specifies whether to permute $A$ or $A^T$. +
    desc_a
    +
    the communication descriptor to be freed.
    -Scope: local -
    -Type: required -
    -Intent: in. -
    -Specified as: a single character with value 'N' for $A$ or 'T' for $A^T$. -
    -
    iperm
    -
    An integer array containing permutation information. -
    -Scope: local +Scope:local.
    -Type: required -
    -Intent: in. -
    -Specified as: an integer one-dimensional array. -
    -
    x
    -
    The dense matrix to be permuted. -
    -Scope: local -
    -Type: required +Type:required.
    Intent: inout.
    -Specified as: a one or two dimensional array. -
    +Specified as: a structured data of type descdatapsb_desc_type. +

    diff --git a/docs/html/node61.html b/docs/html/node61.html index 14ebdb5a..4ae23ddc 100644 --- a/docs/html/node61.html +++ b/docs/html/node61.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -psb_glob_to_loc -- Global to local indices convertion - +psb_cdbldext -- Build an extended communication descriptor + @@ -20,67 +20,68 @@ original version by: Nikos Drakos, CBLU, University of Leeds - + - next - + up - previous - contents
    - Next: psb_loc_to_glob Local - Up: Data management routines - Previous: psb_gelp Applies -   Next: psb_spall Allocates + Up: Data management routines + Previous: psb_cdfree Frees +   Contents

    -

    -psb_glob_to_loc -- Global to local indices - convertion +

    +psb_cdbldext -- Build an extended communication + descriptor 

    -call psb_glob_to_loc(x, y, desc_a, info, iact,owned)
-call psb_glob_to_loc(x, desc_a, info, iact,owned)
+call psb_cdbldext(a,desc_a,nl,desc_out, info, extype)

    +This subroutine builds an extended communication descriptor, based on +the input descriptor desc_a and on the stencil specified +through the input sparse matrix a.

    Type:
    -
    Asynchronous. +
    Synchronous.
    On Entry
    -
    x
    -
    An integer vector of indices to be converted. -
    -Scope: local +
    a
    +
    A sparse matrix +Scope:local.
    -Type: required +Type:required.
    -Intent: in, inout. +Intent: in.
    -Specified as: a rank one integer array. -
    +Specified as: a structured data type. +
    desc_a
    the communication descriptor.
    @@ -90,30 +91,35 @@ Type:required.
    Intent: in.
    -Specified as: a structured data of type descdatapsb_desc_type. +Specified as: a structured data of type spdatapsb_spmat_type.
    -
    iact
    -
    specifies action to be taken in case of range errors. -Scope: global +
    nl
    +
    the number of additional layers desired.
    -Type: optional +Scope:global. +
    +Type:required.
    Intent: in.
    -Specified as: a character variable Ignore, Warning or -Abort, default Ignore. +Specified as: an integer value $nl\ge 0$.
    -
    owned
    -
    Specfies valid range of input -Scope: global +
    extype
    +
    the kind of estension required. +
    +Scope:global.
    -Type: optional +Type:optional .
    Intent: in.
    -If true, then only indices strictly owned by the current process are -considered valid, if false then halo indices are also -accepted. Default: false. +Specified as: an integer value +psb_ovt_xhal_, psb_ovt_asov_, default: psb_ovt_xhal_ + +

    @@ -122,43 +128,16 @@ accepted. Default: false.
    On Return
    -
    x
    -
    If $y$ is not present, - then $x$ is overwritten with the translated integer indices. -Scope: global -
    -Type: required +
    desc_out
    +
    the extended communication descriptor.
    -Intent: inout. +Scope:local.
    -Specified as: a rank one integer array. -
    -
    y
    -
    If $y$ is present, - then $y$ is overwritten with the translated integer indices, and $x$ - is left unchanged. -Scope: global -
    -Type: optional +Type:required.
    -Intent: out. +Intent: inout.
    -Specified as: a rank one integer array. +Specified as: a structured data of type descdatapsb_desc_type.
    info
    Error code. @@ -177,37 +156,43 @@ An integer value; 0 means no error has been detected. Notes
      -
    1. If an input index is out of range, then the corresponding output - index is set to a negative number; +
    2. Specifying psb_ovt_xhal_ for the extype argument + the user will obtain a descriptor for a domain partition in which + the additional layers are fetched as part of an (extended) halo; + however the index-to-process mapping is identical to that of the + base descriptor;
      3. -
    3. The default Ignore means that the negative output is the - only action taken on an out-of-range input. +
    4. Specifying psb_ovt_asov_ for the extype argument + the user will obtain a descriptor with an overlapped decomposition: + the additional layer is aggregated to the local subdomain (and thus + is an overlap), and a new halo extending beyond the last additional + layer is formed.

    - next - + up - previous - contents
    - Next: psb_loc_to_glob Local - Up: Data management routines - Previous: psb_gelp Applies -   Next: psb_spall Allocates + Up: Data management routines + Previous: psb_cdfree Frees +   Contents diff --git a/docs/html/node62.html b/docs/html/node62.html index 2023f791..5031e56e 100644 --- a/docs/html/node62.html +++ b/docs/html/node62.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -psb_loc_to_glob -- Local to global indices conversion - +psb_spall -- Allocates a sparse matrix + @@ -20,67 +20,54 @@ original version by: Nikos Drakos, CBLU, University of Leeds - + - next - + up - previous - contents
    - Next: psb_is_owned - Up: Data management routines - Previous: psb_glob_to_loc Global -   Next: psb_spins Insert + Up: Data management routines + Previous: psb_cdbldext Build +   Contents

    -

    -psb_loc_to_glob -- Local to global indices - conversion +

    +psb_spall -- Allocates a sparse matrix 

    -call psb_loc_to_glob(x, y, desc_a, info, iact)
-call psb_loc_to_glob(x, desc_a, info, iact)
+call psb_spall(a, desc_a, info, nnz)

    Type:
    -
    Asynchronous. +
    Synchronous.
    On Entry
    -
    x
    -
    An integer vector of indices to be converted. -
    -Scope: local -
    -Type: required -
    -Intent: in, inout. -
    -Specified as: a rank one integer array. -
    desc_a
    the communication descriptor.
    @@ -92,16 +79,17 @@ Intent: in.
    Specified as: a structured data of type descdatapsb_desc_type.
    -
    iact
    -
    specifies action to be taken in case of range errors. -Scope: global +
    nnz
    +
    An estimate of the number of nonzeroes in the local + part of the assembled matrix.
    -Type: optional +Scope: global. +
    +Type: optional.
    Intent: in.
    -Specified as: a character variable Ignore, Warning or -Abort, default Ignore. +Specified as: an integer value.
    @@ -110,43 +98,16 @@ Specified as: a character variable Ignore, Warning or
    On Return
    -
    x
    -
    If $y$ is not present, - then $x$ is overwritten with the translated integer indices. -Scope: global -
    -Type: required -
    -Intent: inout. -
    -Specified as: a rank one integer array. -
    -
    y
    -
    If $y$ is not present, - then $y$ is overwritten with the translated integer indices, and $x$ - is left unchanged. -Scope: global -
    -Type: optional +
    a
    +
    the matrix to be allocated. +
    +Scope:local +
    +Type:required
    Intent: out.
    -Specified as: a rank one integer array. +Specified as: a structured data of type spdatapsb_spmat_type.
    info
    Error code. @@ -160,30 +121,47 @@ Intent: out. An integer value; 0 means no error has been detected.
    +Notes + +
      +
    1. On exit from this routine the sparse matrix is in the build + state. +
      2. +
    2. The descriptor may be in either the build or assembled state. +
      3. +
    3. 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 + (potentially multiple) data reallocations. +
      4. +

    - next - + up - previous - contents
    - Next: psb_is_owned - Up: Data management routines - Previous: psb_glob_to_loc Global -   Next: psb_spins Insert + Up: Data management routines + Previous: psb_cdbldext Build +   Contents diff --git a/docs/html/node63.html b/docs/html/node63.html index 8d314d3f..aaf0460b 100644 --- a/docs/html/node63.html +++ b/docs/html/node63.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -psb_is_owned - +psb_spins -- Insert a cloud of elements into a sparse matrix + @@ -20,44 +20,45 @@ original version by: Nikos Drakos, CBLU, University of Leeds - + - next - + up - previous - contents
    - Next: psb_owned_index - Up: Data management routines - Previous: psb_loc_to_glob Local -   Next: psb_spasb Sparse + Up: Data management routines + Previous: psb_spall Allocates +   Contents

    -

    -psb_is_owned +

    +psb_spins -- Insert a cloud of elements into a sparse + matrix 

    -call psb_is_owned(x, desc_a)
+call psb_spins(nz, ia, ja, val, a, desc_a, info)

    @@ -68,19 +69,47 @@ call psb_is_owned(x, desc_a)

    On Entry
    -
    x
    -
    Integer index. +
    nz
    +
    the number of elements to be inserted.
    -Scope: local +Scope:local.
    -Type: required +Type:required.
    Intent: in.
    -Specified as: a scalar integer. -
    -
    desc_a
    -
    the communication descriptor. +Specified as: an integer scalar. +
    +
    ia
    +
    the row indices of the elements to be inserted. +
    +Scope:local. +
    +Type:required. +
    +Intent: in. +
    +Specified as: an integer array of size $nz$. +
    +
    ja
    +
    the column indices of the elements to be inserted. +
    +Scope:local. +
    +Type:required. +
    +Intent: in. +
    +Specified as: an integer array of size $nz$. +
    +
    val
    +
    the elements to be inserted.
    Scope:local.
    @@ -88,8 +117,26 @@ Type:required.
    Intent: in.
    -Specified as: a structured data of type descdatapsb_desc_type. +Specified as: an array of size $nz$. Must be of the same type and kind +of the aspk component of the sparse matrix $a$.
    +
    desc_a
    +
    The communication descriptor. +
    +Scope: local. +
    +Type: required. +
    +Intent: inout. +
    +Specified as: a variable of type descdatapsb_desc_type. +

    @@ -97,32 +144,95 @@ Specified as: a structured data of type descdatapsb_desc_type.

    On Return
    -
    Function value
    -
    A logical mask which is true if - $x$ is owned by the current process +
    a
    +
    the matrix into which elements will be inserted. +
    +Scope:local +
    +Type:required +
    +Intent: inout. +
    +Specified as: a structured data of type spdatapsb_spmat_type. +
    +
    desc_a
    +
    The communication descriptor. +
    +Scope: local. +
    +Type: required. +
    +Intent: inout. +
    +Specified as: a variable of type descdatapsb_desc_type. +
    +
    info
    +
    Error code. +
    Scope: local
    -Type: required +Type: required
    Intent: out. -
    +
    +An integer value; 0 means no error has been detected. +

    Notes

      -
    1. This routine returns a .true. value for an index - that is strictly owned by the current process, excluding the halo - indices +
    2. On entry to this routine the descriptor may be in either the + build or assembled state. +
      3. +
    3. On entry to this routine the sparse matrix may be in either the + build or update state. +
      4. +
    4. If the descriptor is in the build state, then the sparse matrix + must also be in the build state; the action of the routine is to + (implicitly) call psb_cdins to add entries to the sparsity + pattern; each sparse matrix entry implicitly defines a graph edge, + that is passed to the descriptor routine for the appropriate + processing. +
      5. +
    5. Any coefficients from matrix rows not assigned to the calling + process are silently ignored; +
      6. +
    6. If the descriptor is in the assembled state, then any entries in + the sparse matrix that would generate additional communication + requirements will be ignored; +
      7. +
    7. If the matrix is in the update state, any entries in positions + that were not present in the original matrix will be ignored.

    -

    +
    + + +next + +up + +previous + +contents +
    + Next: psb_spasb Sparse + Up: Data management routines + Previous: psb_spall Allocates +   Contents + diff --git a/docs/html/node64.html b/docs/html/node64.html index effa9e8e..bd125e03 100644 --- a/docs/html/node64.html +++ b/docs/html/node64.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -psb_owned_index - +psb_spasb -- Sparse matrix assembly routine + @@ -20,65 +20,54 @@ original version by: Nikos Drakos, CBLU, University of Leeds - + - next - + up - previous - contents
    - Next: psb_is_local - Up: Data management routines - Previous: psb_is_owned -   Next: psb_spfree Frees + Up: Data management routines + Previous: psb_spins Insert +   Contents

    -

    -psb_owned_index +

    +psb_spasb -- Sparse matrix assembly routine 

    -call psb_owned_index(y, x, desc_a, info)
+call psb_spasb(a, desc_a, info, afmt, upd, dupl)

    Type:
    -
    Asynchronous. +
    Synchronous.
    On Entry
    -
    x
    -
    Integer indices. -
    -Scope: local -
    -Type: required -
    -Intent: in, inout. -
    -Specified as: a scalar or a rank one integer array. -
    desc_a
    the communication descriptor.
    @@ -90,16 +79,39 @@ Intent: in.
    Specified as: a structured data of type descdatapsb_desc_type.
    -
    iact
    -
    specifies action to be taken in case of range errors. -Scope: global +
    afmt
    +
    the storage format for the sparse matrix. +
    +Scope: global. +
    +Type: optional. +
    +Intent: in. +
    +Specified as: an array of characters. Defalt: 'CSR'. +
    +
    upd
    +
    Provide for updates to the matrix coefficients. +
    +Scope: global. +
    +Type: optional. +
    +Intent: in. +
    +Specified as: integer, possible values: psb_upd_srch_, psb_upd_perm_ +
    +
    dupl
    +
    How to handle duplicate coefficients. +
    +Scope: global.
    -Type: optional +Type: optional.
    Intent: in.
    -Specified as: a character variable Ignore, Warning or -Abort, default Ignore. +Specified as: integer, possible values: psb_dupl_ovwrt_, +psb_dupl_add_, psb_dupl_err_.
    @@ -108,19 +120,16 @@ Specified as: a character variable Ignore, Warning or
    On Return
    -
    y
    -
    A logical mask which is true for all corresponding entries of - $x$ that are owned by the current process -Scope: local +
    a
    +
    the matrix to be assembled.
    -Type: required +Scope:local
    -Intent: out. +Type:required +
    +Intent: inout.
    -Specified as: a scalar or rank one logical array. +Specified as: a structured data of type spdatapsb_spmat_type.
    info
    Error code. @@ -139,14 +148,50 @@ An integer value; 0 means no error has been detected. Notes
      -
    1. This routine returns a .true. value for those indices - that are strictly owned by the current process, excluding the halo - indices +
    2. On entry to this routine the descriptor must be in the + assembled state, i.e. psb_cdasb must already have been called. +
      3. +
    3. The sparse matrix may be in either the build or update state; +
      4. +
    4. Duplicate entries are detected and handled in both build and + update state, with the exception of the error action that is only + taken in the build state, i.e. on the first assembly; +
      5. +
    5. If the update choice is psb_upd_perm_, then subsequent + calls to psb_spins to update the matrix must be arranged in + such a way as to produce exactly the same sequence of coefficient + values as encountered at the first assembly; +
      6. +
    6. On exit from this routine the matrix is in the assembled state, + and thus is suitable for the computational routines.

    -

    +
    + + +next + +up + +previous + +contents +
    + Next: psb_spfree Frees + Up: Data management routines + Previous: psb_spins Insert +   Contents + diff --git a/docs/html/node65.html b/docs/html/node65.html index dc100621..ede1462d 100644 --- a/docs/html/node65.html +++ b/docs/html/node65.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -psb_is_local - +psb_spfree -- Frees a sparse matrix + @@ -20,65 +20,65 @@ original version by: Nikos Drakos, CBLU, University of Leeds - + - next - + up - previous - contents
    - Next: psb_local_index - Up: Data management routines - Previous: psb_owned_index -   Next: psb_sprn Reinit + Up: Data management routines + Previous: psb_spasb Sparse +   Contents

    -

    -psb_is_local +

    +psb_spfree -- Frees a sparse matrix 

    -call psb_is_local(x, desc_a)
+call psb_spfree(a, desc_a, info)

    Type:
    -
    Asynchronous. +
    Synchronous.
    On Entry
    -
    x
    -
    Integer index. +
    a
    +
    the matrix to be freed.
    -Scope: local +Scope:local
    -Type: required +Type:required
    -Intent: in. +Intent: inout.
    -Specified as: a scalar integer. -
    +Specified as: a structured data of type spdatapsb_spmat_type. +
    desc_a
    the communication descriptor.
    @@ -97,30 +97,19 @@ Specified as: a structured data of type descdatapsb_desc_type.
    On Return
    -
    Function value
    -
    A logical mask which is true if - $x$ is local to the current process +
    info
    +
    Error code. +
    Scope: local
    -Type: required +Type: required
    Intent: out. -
    +
    +An integer value; 0 means no error has been detected. + -

    -Notes - -

      -
    1. This routine returns a .true. value for an index - that is local to the current process, including the halo - indices -
      2. -
    -


    diff --git a/docs/html/node66.html b/docs/html/node66.html index ece8a0cd..ba0d6156 100644 --- a/docs/html/node66.html +++ b/docs/html/node66.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -psb_local_index - +psb_sprn -- Reinit sparse matrix structure for psblas routines. + @@ -20,65 +20,66 @@ original version by: Nikos Drakos, CBLU, University of Leeds - + - next - + up - previous - contents
    - Next: psb_get_boundary Extract - Up: Data management routines - Previous: psb_is_local -   Next: psb_geall Allocates + Up: Data management routines + Previous: psb_spfree Frees +   Contents

    -

    -psb_local_index +

    +psb_sprn -- Reinit sparse matrix structure for psblas + routines. 

    -call psb_local_index(y, x, desc_a, info)
+call psb_sprn(a, decsc_a, info, clear)

    Type:
    -
    Asynchronous. +
    Synchronous.
    On Entry
    -
    x
    -
    Integer indices. +
    a
    +
    the matrix to be reinitialized.
    -Scope: local +Scope:local
    -Type: required +Type:required
    -Intent: in, inout. +Intent: inout.
    -Specified as: a scalar or a rank one integer array. -
    +Specified as: a structured data of type spdatapsb_spmat_type. +
    desc_a
    the communication descriptor.
    @@ -90,16 +91,16 @@ Intent: in.
    Specified as: a structured data of type descdatapsb_desc_type.
    -
    iact
    -
    specifies action to be taken in case of range errors. -Scope: global +
    clear
    +
    Choose whether to zero out matrix coefficients +
    +Scope:local.
    -Type: optional +Type:optional.
    Intent: in.
    -Specified as: a character variable Ignore, Warning or -Abort, default Ignore. +Default: true.
    @@ -108,20 +109,6 @@ Specified as: a character variable Ignore, Warning or
    On Return
    -
    y
    -
    A logical mask which is true for all corresponding entries of - $x$ that are local to the current process -Scope: local -
    -Type: required -
    -Intent: out. -
    -Specified as: a scalar or rank one logical array. -
    info
    Error code.
    @@ -134,14 +121,11 @@ Intent: out. An integer value; 0 means no error has been detected.
    - -

    Notes

      -
    1. This routine returns a .true. value for those indices - that are local to the current process, including the halo - indices. +
    2. On exit from this routine the sparse matrix is in the update + state.
    diff --git a/docs/html/node67.html b/docs/html/node67.html index 7c971837..634d9fb3 100644 --- a/docs/html/node67.html +++ b/docs/html/node67.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -psb_get_boundary -- Extract list of boundary elements - +psb_geall -- Allocates a dense matrix + @@ -20,64 +20,100 @@ original version by: Nikos Drakos, CBLU, University of Leeds - + - next - + up - previous - contents
    - Next: psb_get_overlap Extract - Up: Data management routines - Previous: psb_local_index -   Next: psb_geins Dense + Up: Data management routines + Previous: psb_sprn Reinit +   Contents

    -

    -psb_get_boundary -- Extract list of boundary elements +

    +psb_geall -- Allocates a dense matrix 

    -call psb_get_boundary(bndel, desc, info)
+call psb_geall(x, desc_a, info, n, lb)

    Type:
    -
    Asynchronous. +
    Synchronous.
    On Entry
    -
    desc
    -
    the communication descriptor. +
    desc_a
    +
    The communication descriptor.
    -Scope:local. +Scope: local +
    +Type: required +
    +Intent: in.
    -Type:required. +Specified as: a variable of type descdatapsb_desc_type. +
    +
    n
    +
    The number of columns of the dense matrix to be allocated. +
    +Scope: local +
    +Type: optional
    Intent: in.
    -Specified as: a structured data of type descdatapsb_desc_type. +Specified as: Integer scalar, default $1$. It is not a valid argument if $x$ is a +rank-1 array. +
    +
    lb
    +
    The lower bound for the column index range of the dense matrix to be allocated. +
    +Scope: local +
    +Type: optional +
    +Intent: in. +
    +Specified as: Integer scalar, default $1$. It is not a valid argument if $x$ is a +rank-1 array.
    @@ -86,9 +122,8 @@ Specified as: a structured data of type descdatapsb_desc_type.
    On Return
    -
    bndel
    -
    The list of boundary elements on the calling process, in - local numbering. +
    x
    +
    The dense matrix to be allocated.
    Scope: local
    @@ -96,8 +131,8 @@ Type: required
    Intent: out.
    -Specified as: a rank one array with the ALLOCATABLE -attribute, of type integer. +Specified as: a rank one or two array with the ALLOCATABLE +attribute, of type real, complex or integer.
    info
    Error code. @@ -112,19 +147,6 @@ An integer value; 0 means no error has been detected.
    -

    -Notes - -

      -
    1. If there are no boundary elements (i.e., if the local part of - the connectivity graph is self-contained) the output vector is set - to the ``not allocated'' state. -
      2. -
    2. Otherwise the size of bndel will be exactly equal to the - number of boundary elements. -
      3. -
    -


    diff --git a/docs/html/node68.html b/docs/html/node68.html index 541a261b..797ae7f1 100644 --- a/docs/html/node68.html +++ b/docs/html/node68.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -psb_get_overlap -- Extract list of overlap elements - +psb_geins -- Dense matrix insertion routine + @@ -20,44 +20,44 @@ original version by: Nikos Drakos, CBLU, University of Leeds - + - next - + up - previous - contents
    - Next: psb_sp_getrow Extract - Up: Data management routines - Previous: psb_get_boundary Extract -   Next: psb_geasb Assembly + Up: Data management routines + Previous: psb_geall Allocates +   Contents

    -

    -psb_get_overlap -- Extract list of overlap elements +

    +psb_geins -- Dense matrix insertion routine 

    -call psb_get_overlap(ovrel, desc, info)
+call psb_geins(m, irw, val, x, desc_a, info,dupl)

    @@ -68,7 +68,54 @@ call psb_get_overlap(ovrel, desc, info)

    On Entry
    -
    desc
    +
    m
    +
    Number of rows in $val$ to be inserted. +
    +Scope:local. +
    +Type:required. +
    +Intent: in. +
    +Specified as: an integer value. +
    +
    irw
    +
    Indices of the rows to be inserted. Specifically, row $i$ + of $val$ will be inserted into the local row corresponding to the + global row index $irw(i)$. +Scope:local. +
    +Type:required. +
    +Intent: in. +
    +Specified as: an integer array. +
    +
    val
    +
    the dense submatrix to be inserted. +
    +Scope:local. +
    +Type:required. +
    +Intent: in. +
    +Specified as: a rank 1 or 2 array. +Specified as: an integer value. +
    +
    desc_a
    the communication descriptor.
    Scope:local. @@ -79,6 +126,18 @@ Intent: in.
    Specified as: a structured data of type descdatapsb_desc_type.
    +
    dupl
    +
    How to handle duplicate coefficients. +
    +Scope: global. +
    +Type: optional. +
    +Intent: in. +
    +Specified as: integer, possible values: psb_dupl_ovwrt_, +psb_dupl_add_. +

    @@ -86,18 +145,17 @@ Specified as: a structured data of type descdatapsb_desc_type.

    On Return
    -
    ovrel
    -
    The list of overlap elements on the calling process, in - local numbering. +
    x
    +
    the output dense matrix.
    Scope: local
    Type: required
    -Intent: out. +Intent: inout.
    -Specified as: a rank one array with the ALLOCATABLE -attribute, of type integer. +Specified as: a rank one or two array with the ALLOCATABLE +attribute, of type real, complex or integer.
    info
    Error code. @@ -116,16 +174,38 @@ An integer value; 0 means no error has been detected. Notes
      -
    1. If there are no overlap elements the output vector is set - to the ``not allocated'' state. +
    2. Dense vectors/matrices do not have an associated state;
      3. -
    3. Otherwise the size of ovrel will be exactly equal to the - number of overlap elements. +
    4. Duplicate entries are either overwritten or added, there is no + provision for raising an error condition.

    -

    +
    + + +next + +up + +previous + +contents +
    + Next: psb_geasb Assembly + Up: Data management routines + Previous: psb_geall Allocates +   Contents + diff --git a/docs/html/node69.html b/docs/html/node69.html index 8e12aee7..3a3ec72f 100644 --- a/docs/html/node69.html +++ b/docs/html/node69.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -psb_sp_getrow -- Extract row(s) from a sparse matrix - +psb_geasb -- Assembly a dense matrix + @@ -20,125 +20,65 @@ original version by: Nikos Drakos, CBLU, University of Leeds - + - next - + up - previous - contents
    - Next: psb_sizeof Memory - Up: Data management routines - Previous: psb_get_overlap Extract -   Next: psb_gefree Frees + Up: Data management routines + Previous: psb_geins Dense +   Contents

    -

    -psb_sp_getrow -- Extract row(s) from a sparse matrix +

    +psb_geasb -- Assembly a dense matrix 

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

    Type:
    -
    Asynchronous. +
    Synchronous.
    On Entry
    -
    row
    -
    The (first) row to be extracted. +
    desc_a
    +
    The communication descriptor.
    -Scope:local -
    -Type:required -
    -Intent: in. -
    -Specified as: an integer $>0$. -
    -
    a
    -
    the matrix from which to get rows. -
    -Scope:local -
    -Type:required -
    -Intent: in. -
    -Specified as: a structured data of type spdatapsb_spmat_type. -
    -
    append
    -
    Whether to append or overwrite existing output. -
    -Scope:local -
    -Type:optional -
    -Intent: in. -
    -Specified as: a logical value default: false (overwrite). -
    -
    nzin
    -
    Input size to be appended to. -
    -Scope:local -
    -Type:optional -
    -Intent: in. -
    -Specified as: an integer $>0$. When append is true, specifies how many -entries in the output vectors are already filled. -
    -
    lrw
    -
    The last row to be extracted. -
    -Scope:local +Scope: local
    -Type:optional +Type: required
    Intent: in.
    -Specified as: an integer $>0$, default: $row$. - -

    -

    +Specified as: a variable of type descdatapsb_desc_type. +

    @@ -146,50 +86,18 @@ Specified as: an integer On Return

    -
    nz
    -
    the number of elements returned by this call. -
    -Scope:local. -
    -Type:required. -
    -Intent: out. -
    -Returned as: an integer scalar. -
    -
    ia
    -
    the row indices. -
    -Scope:local. -
    -Type:required. -
    -Intent: inout. -
    -Specified as: an integer array with the ALLOCATABLE attribute. -
    -
    ja
    -
    the column indices of the elements to be inserted. +
    x
    +
    The dense matrix to be assembled.
    -Scope:local. -
    -Type:required. -
    -Intent: inout. -
    -Specified as: an integer array with the ALLOCATABLE attribute. -
    -
    val
    -
    the elements to be inserted. -
    -Scope:local. +Scope: local
    -Type:required. +Type: required
    Intent: inout.
    -Specified as: a real array with the ALLOCATABLE attribute. -
    +Specified as: a rank one or two array with the ALLOCATABLE +attribute, of type real, complex or integer. +
    info
    Error code.
    @@ -202,56 +110,7 @@ Intent: out. An integer value; 0 means no error has been detected.
    - -

    -Notes - -

      -
    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. -
    2. When append=.true. the output arrays are reallocated as - necessary; -
      3. -
    3. The row and column indices are returned in the local numbering - scheme; if the global numbering is desired, the user may employ the - psb_loc_to_glob routine on the output. -
      4. -
    - -

    -

    - - -next - -up - -previous - -contents -
    - Next: psb_sizeof Memory - Up: Data management routines - Previous: psb_get_overlap Extract -   Contents - +
    diff --git a/docs/html/node7.html b/docs/html/node7.html index 1733c683..f85e6b2f 100644 --- a/docs/html/node7.html +++ b/docs/html/node7.html @@ -25,26 +25,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds - next - up - previous - contents
    - Next: Data Structures - Up: Next: Data Structures and Classes + Up: General overview - Previous: Previous: Application structure -   Contents

    @@ -72,7 +72,7 @@ the tools routines.

    However there are many cases where no synchronization, and indeed no communication among processes, is implied; for instance, all the routines in -sec. 3.5 are only acting on the local data structures, +sec. 3.5 are only acting on the local data structures, and thus may be called independently. The most important case is that of the coefficient insertion routines: since the number of coefficients in the sparse and dense matrices varies among the @@ -96,26 +96,26 @@ as:

    - next - up - previous - contents
    - Next: Data Structures - Up: Next: Data Structures and Classes + Up: General overview - Previous: Previous: Application structure -   Contents diff --git a/docs/html/node70.html b/docs/html/node70.html index 311730e3..740b2e35 100644 --- a/docs/html/node70.html +++ b/docs/html/node70.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -psb_sizeof -- Memory occupation - +psb_gefree -- Frees a dense matrix + @@ -20,76 +20,71 @@ original version by: Nikos Drakos, CBLU, University of Leeds - + - next - + up - previous - contents
    - Next: Sorting utilities - Up: Data management routines - Previous: psb_sp_getrow Extract -   Next: psb_gelp Applies + Up: Data management routines + Previous: psb_geasb Assembly +   Contents

    -

    -psb_sizeof -- Memory occupation +

    +psb_gefree -- Frees a dense matrix

    -

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

    -isz = psb_sizeof(a)
-isz = psb_sizeof(desc_a)
-isz = psb_sizeof(prec)
+call psb_gefree(x, desc_a, info)

    Type:
    -
    Asynchronous. +
    Synchronous.
    On Entry
    -
    a
    -
    A sparse matrix -$A$. +
    x
    +
    The dense matrix to + be freed.
    Scope: local
    Type: required
    -Intent: in. +Intent: inout.
    -Specified as: a structured data of type spdatapsb_spmat_type. +Specified as: a rank one or two array with the ALLOCATABLE +attribute, of type real, complex or integer. +
    +

    desc_a
    -
    Communication descriptor. +
    The communication descriptor.
    Scope: local
    @@ -97,27 +92,25 @@ Type: required
    Intent: in.
    -Specified as: a structured data of type descdatapsb_desc_type. -
    -
    prec
    -
    Scope: local -
    -Type: required -
    -Intent: in. -
    -Specified as: a preconditioner data structure precdatapsb_prec_type. -
    +Specified as: a variable of type descdatapsb_desc_type. +
    +
    + +

    +

    On Return
    -
    Function value
    -
    The memory occupation of the object specified in - the calling sequence, in bytes. +
    info
    +
    Error code.
    Scope: local
    -Returned as: an integer(psb_long_int_k_) number. +Type: required +
    +Intent: out. +
    +An integer value; 0 means no error has been detected.
    diff --git a/docs/html/node71.html b/docs/html/node71.html index ffb6d548..4bf66ee1 100644 --- a/docs/html/node71.html +++ b/docs/html/node71.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -Sorting utilities - +psb_gelp -- Applies a left permutation to a dense matrix + @@ -18,121 +18,102 @@ original version by: Nikos Drakos, CBLU, University of Leeds + - + - next - + up - previous - contents
    - Next: Parallel environment routines - Up: Data management routines - Previous: psb_sizeof Memory -   Next: psb_glob_to_loc Global + Up: Data management routines + Previous: psb_gefree Frees +   Contents

    -

    -Sorting utilities +

    +psb_gelp -- Applies a left permutation to a dense + matrix

    -psb_msort -- Sorting by the Merge-sort - algorithm - -

    -psb_qsort -- Sorting by the Quicksort - algorithm - -

    -psb_hsort -- Sorting by the Heapsort algorithm 

    -call psb_msort(x,ix,dir,flag)
-call psb_qsort(x,ix,dir,flag)
-call psb_hsort(x,ix,dir,flag)
+call psb_gelp(trans, iperm, x, info)

    -These serial routines sort a sequence $X$ into ascending or -descending order. The argument meaning is identical for the three -calls; the only difference is the algorithm used to accomplish the -task (see Usage Notes below).

    Type:
    Asynchronous.
    -
    On Entry
    +
    On Entry
    -
    x
    -
    The sequence to be sorted. +
    trans
    +
    A character that specifies whether to permute $A$ or $A^T$.
    -Type:required. +Scope: local
    -Specified as: an integer, real or complex array of rank 1. -
    -
    ix
    -
    A vector of indices. +Type: required
    -Type:optional. +Intent: in.
    -Specified as: an integer array of (at least) the same size as $X$. -
    -
    dir
    -
    The desired ordering. +Specified as: a single character with value 'N' for $A$ or 'T' for $A^T$. +
    +
    iperm
    +
    An integer array containing permutation information.
    -Type:optional. +Scope: local
    -Specified as: an integer value:
    -
    Integer and real data:
    -
    psb_sort_up_, -psb_sort_down_, psb_asort_up_, psb_asort_down_; -default psb_sort_up_. -
    -
    Complex data:
    -
    psb_lsort_up_, -psb_lsort_down_, psb_asort_up_, psb_asort_down_; -default psb_lsort_up_. -
    -
    -
    -
    flag
    -
    Whether to keep the original values in $IX$. +Type: required
    -Type:optional. +Intent: in.
    -Specified as: an integer value psb_sort_ovw_idx_ or -psb_sort_keep_idx_; default psb_sort_ovw_idx_. - -

    -

    +Specified as: an integer one-dimensional array. +
    +
    x
    +
    The dense matrix to be permuted. +
    +Scope: local +
    +Type: required +
    +Intent: inout. +
    +Specified as: a one or two dimensional array. +

    @@ -140,154 +121,21 @@ Specified as: an integer value psb_sort_ovw_idx_ or

    On Return
    -
    x
    -
    The sequence of values, in the chosen ordering. +
    info
    +
    Error code.
    -Type:required. +Scope: local
    -Specified as: an integer, real or complex array of rank 1. -
    -
    ix
    -
    A vector of indices. +Type: required
    -Type: Optional +Intent: out.
    -An integer array of rank 1, whose entries are moved to the same -position as the corresponding entries in $x$. +An integer value; 0 means no error has been detected.

    - -

    -Notes - -

      -
    1. For integer or real data the sorting can be performed in the up/down direction, on the - natural or absolute values; -
      2. -
    2. For complex data the sorting can be done in a lexicographic - order (i.e.: sort on the real part with ties broken according to - the imaginary part) or on the absolute values; -
      3. -
    3. The routines return the items in the chosen ordering; the - output difference is the handling of ties (i.e. items with an - equal value) in the original input. With the merge-sort algorithm - ties are preserved in the same relative order as they had in the - original sequence, while this is not guaranteed for quicksort or - heapsort; -
      4. -
    4. If -$flag = psb\_sort\_ovw\_idx\_$ 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 - index $i$ we have in $ix(i)$ the position that the item $x(i)$ - occupied in the original data sequence; -
      5. -
    5. If -$flag = psb\_sort\_keep\_idx\_$ the routine will assume that - the entries in $ix(:)$ have already been initialized by the user; -
      6. -
    6. 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: - -
        -
      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; -
        2. -
      2. The worst case running time for merge-sort and heap-sort is - $O(n \log n)$ as the average case; -
        3. -
      3. The merge-sort algorithm is implemented to take advantage of - subsequences that may be already in the desired ordering prior to - the subroutine call; this situation is relatively common when - dealing with groups of indices of sparse matrix entries, thus - merge-sort is often the preferred choice when a sorting is needed - by other routines in the library. -
        4. -
      -
      7. -
    - -

    - -

    -

    - - -next - -up - -previous - -contents -
    - Next: Parallel environment routines - Up: Data management routines - Previous: psb_sizeof Memory -   Contents - +
    diff --git a/docs/html/node72.html b/docs/html/node72.html index 1eb18f5b..13e6dc5d 100644 --- a/docs/html/node72.html +++ b/docs/html/node72.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -Parallel environment routines - +psb_glob_to_loc -- Global to local indices convertion + @@ -18,88 +18,198 @@ original version by: Nikos Drakos, CBLU, University of Leeds - - - + + + - next - + up - previous - contents
    - Next: psb_init Initializes - Up: userhtml - Previous: Sorting utilities -   Next: psb_loc_to_glob Local + Up: Data management routines + Previous: psb_gelp Applies +   Contents

    -

    - +

    +psb_glob_to_loc -- Global to local indices + convertion +

    + +

    +

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

    +

    +
    Type:
    +
    Asynchronous. +
    +
    On Entry
    +
    +
    +
    x
    +
    An integer vector of indices to be converted. +
    +Scope: local +
    +Type: required +
    +Intent: in, inout. +
    +Specified as: a rank one integer array. +
    +
    desc_a
    +
    the communication descriptor. +
    +Scope:local. +
    +Type:required.
    -Parallel environment routines - +Intent: in. +
    +Specified as: a structured data of type descdatapsb_desc_type. +
    +
    iact
    +
    specifies action to be taken in case of range errors. +Scope: global +
    +Type: optional +
    +Intent: in. +
    +Specified as: a character variable Ignore, Warning or +Abort, default Ignore. +
    +
    owned
    +
    Specfies valid range of input +Scope: global +
    +Type: optional +
    +Intent: in. +
    +If true, then only indices strictly owned by the current process are +considered valid, if false then halo indices are also +accepted. Default: false. +
    +

    -

    - -Subsections +
    +
    On Return
    +
    +
    +
    x
    +
    If $y$ is not present, + then $x$ is overwritten with the translated integer indices. +Scope: global +
    +Type: required +
    +Intent: inout. +
    +Specified as: a rank one integer array. +
    +
    y
    +
    If $y$ is present, + then $y$ is overwritten with the translated integer indices, and $x$ + is left unchanged. +Scope: global +
    +Type: optional +
    +Intent: out. +
    +Specified as: a rank one integer array. +
    +
    info
    +
    Error code. +
    +Scope: local +
    +Type: required +
    +Intent: out. +
    +An integer value; 0 means no error has been detected. +
    +
    - - -
    +

    +Notes + +

      +
    1. If an input index is out of range, then the corresponding output + index is set to a negative number; +
      2. +
    2. The default Ignore means that the negative output is the + only action taken on an out-of-range input. +
      3. +
    + +

    +

    + + +next + +up + +previous + +contents +
    + Next: psb_loc_to_glob Local + Up: Data management routines + Previous: psb_gelp Applies +   Contents + diff --git a/docs/html/node73.html b/docs/html/node73.html index 3d0cfa8a..40f0ad5f 100644 --- a/docs/html/node73.html +++ b/docs/html/node73.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -psb_init -- Initializes PSBLAS parallel environment - +psb_loc_to_glob -- Local to global indices conversion + @@ -20,95 +20,88 @@ original version by: Nikos Drakos, CBLU, University of Leeds - + - next - + up - previous - contents
    - Next: psb_info Return - Up: Parallel environment routines - Previous: Parallel environment routines -   Next: psb_is_owned + Up: Data management routines + Previous: psb_glob_to_loc Global +   Contents

    -

    -psb_init -- Initializes PSBLAS parallel environment +

    +psb_loc_to_glob -- Local to global indices + conversion 

    -call psb_init(icontxt, np, basectxt, ids)
+call psb_loc_to_glob(x, y, desc_a, info, iact)
+call psb_loc_to_glob(x, desc_a, info, iact)

    -This subroutine initializes the PSBLAS parallel environment, defining -a virtual parallel machine.

    Type:
    -
    Synchronous. +
    Asynchronous.
    -
    On Entry
    +
    On Entry
    -
    np
    -
    Number of processes in the PSBLAS virtual parallel machine. +
    x
    +
    An integer vector of indices to be converted.
    -Scope: global. +Scope: local
    -Type: optional. +Type: required
    -Intent: in. +Intent: in, inout.
    -Specified as: an integer value. Default: use all available processes. -
    -
    basectxt
    -
    the initial communication context. The new context - will be defined from the processes participating in the initial one. +Specified as: a rank one integer array. +
    +
    desc_a
    +
    the communication descriptor.
    -Scope: global. +Scope:local.
    -Type: optional. +Type:required.
    Intent: in.
    -Specified as: an integer value. Default: use MPI_COMM_WORLD. +Specified as: a structured data of type descdatapsb_desc_type.
    -
    ids
    -
    Identities of the processes to use for the new context; the - argument is ignored when np is not specified. This allows the - processes in the new environment to be in an order different from the - original one. -
    -Scope: global. +
    iact
    +
    specifies action to be taken in case of range errors. +Scope: global
    -Type: optional. +Type: optional
    Intent: in.
    -Specified as: an integer array. Default: use the indices $(0\dots np-1)$. +Specified as: a character variable Ignore, Warning or +Abort, default Ignore.
    @@ -117,60 +110,80 @@ Specified as: an integer array. Default: use the indices On Return
    -
    icontxt
    -
    the communication context identifying the virtual - parallel machine. Note that this is always a duplicate of - basectxt, so that library communications are completely - separated from other communication operations. +
    x
    +
    If $y$ is not present, + then $x$ is overwritten with the translated integer indices. +Scope: global +
    +Type: required +
    +Intent: inout. +
    +Specified as: a rank one integer array. +
    +
    y
    +
    If $y$ is not present, + then $y$ is overwritten with the translated integer indices, and $x$ + is left unchanged. +Scope: global +
    +Type: optional
    -Scope: global. +Intent: out.
    -Type: required. +Specified as: a rank one integer array. +
    +
    info
    +
    Error code. +
    +Scope: local +
    +Type: required
    Intent: out.
    -Specified as: an integer variable. +An integer value; 0 means no error has been detected.
    -

    -Notes - -

      -
    1. A call to this routine must precede any other PSBLAS call. -
      2. -
    2. It is an error to specify a value for $np$ greater than the - number of processes available in the underlying base parallel - environment. -
      3. -
    -

    - next - + up - previous - contents
    - Next: psb_info Return - Up: Parallel environment routines - Previous: Parallel environment routines -   Next: psb_is_owned + Up: Data management routines + Previous: psb_glob_to_loc Global +   Contents diff --git a/docs/html/node74.html b/docs/html/node74.html index 0661fe90..d25641fd 100644 --- a/docs/html/node74.html +++ b/docs/html/node74.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -psb_info -- Return information about PSBLAS parallel environment - +psb_is_owned + @@ -20,68 +20,75 @@ original version by: Nikos Drakos, CBLU, University of Leeds - + - next - + up - previous - contents
    - Next: psb_exit Exit - Up: Parallel environment routines - Previous: psb_init Initializes -   Next: psb_owned_index + Up: Data management routines + Previous: psb_loc_to_glob Local +   Contents

    -

    -psb_info -- Return information about PSBLAS parallel - environment +

    +psb_is_owned 

    -call psb_info(icontxt, iam, np)
+call psb_is_owned(x, desc_a)

    -This subroutine returns information about the PSBLAS parallel environment, defining -a virtual parallel machine.

    Type:
    Asynchronous.
    -
    On Entry
    +
    On Entry
    -
    icontxt
    -
    the communication context identifying the virtual - parallel machine. +
    x
    +
    Integer index.
    -Scope: global. +Scope: local
    -Type: required. +Type: required
    Intent: in.
    -Specified as: an integer variable. +Specified as: a scalar integer. +
    +
    desc_a
    +
    the communication descriptor. +
    +Scope:local. +
    +Type:required. +
    +Intent: in. +
    +Specified as: a structured data of type descdatapsb_desc_type.
    @@ -90,83 +97,32 @@ Specified as: an integer variable.
    On Return
    -
    iam
    -
    Identifier of current process in the PSBLAS virtual parallel machine. -
    -Scope: local. +
    Function value
    +
    A logical mask which is true if + $x$ is owned by the current process +Scope: local
    -Type: required. +Type: required
    Intent: out. -
    -Specified as: an integer value. -$-1 \le iam \le np-1$
    -
    np
    -
    Number of processes in the PSBLAS virtual parallel machine. -
    -Scope: global. -
    -Type: required. -
    -Intent: out. -
    -Specified as: an integer variable.
    +

    Notes

      -
    1. For processes in the virtual parallel machine the identifier - will satisfy -$0 \le iam \le np-1$; -
      2. -
    2. 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. +
    3. This routine returns a .true. value for an index + that is strictly owned by the current process, excluding the halo + indices

    -

    - - -next - -up - -previous - -contents -
    - Next: psb_exit Exit - Up: Parallel environment routines - Previous: psb_init Initializes -   Contents - +
    diff --git a/docs/html/node75.html b/docs/html/node75.html index c6a54eac..16e56ca5 100644 --- a/docs/html/node75.html +++ b/docs/html/node75.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -psb_exit -- Exit from PSBLAS parallel environment - +psb_owned_index + @@ -20,79 +20,118 @@ original version by: Nikos Drakos, CBLU, University of Leeds - + - next - + up - previous - contents
    - Next: psb_get_mpicomm Get - Up: Parallel environment routines - Previous: psb_info Return -   Next: psb_is_local + Up: Data management routines + Previous: psb_is_owned +   Contents

    -

    -psb_exit -- Exit from PSBLAS parallel environment +

    +psb_owned_index 

    -call psb_exit(icontxt)
-call psb_exit(icontxt,close)
+call psb_owned_index(y, x, desc_a, info)

    -This subroutine exits from the PSBLAS parallel virtual machine.

    Type:
    -
    Synchronous. +
    Asynchronous.
    -
    On Entry
    +
    On Entry
    -
    icontxt
    -
    the communication context identifying the virtual - parallel machine. +
    x
    +
    Integer indices.
    -Scope: global. +Scope: local
    -Type: required. +Type: required +
    +Intent: in, inout. +
    +Specified as: a scalar or a rank one integer array. +
    +
    desc_a
    +
    the communication descriptor. +
    +Scope:local. +
    +Type:required.
    Intent: in.
    -Specified as: an integer variable. +Specified as: a structured data of type descdatapsb_desc_type.
    -
    close
    -
    Whether to close all data structures related to the - virtual parallel machine, besides those associated with icontxt. -
    -Scope: global. +
    iact
    +
    specifies action to be taken in case of range errors. +Scope: global
    -Type: optional. +Type: optional
    Intent: in.
    -Specified as: a logical variable, default value: true. +Specified as: a character variable Ignore, Warning or +Abort, default Ignore. +
    +
    + +

    +

    +
    On Return
    +
    +
    +
    y
    +
    A logical mask which is true for all corresponding entries of + $x$ that are owned by the current process +Scope: local +
    +Type: required +
    +Intent: out. +
    +Specified as: a scalar or rank one logical array. +
    +
    info
    +
    Error code. +
    +Scope: local +
    +Type: required +
    +Intent: out. +
    +An integer value; 0 means no error has been detected.
    @@ -100,51 +139,14 @@ Specified as: a logical variable, default value: true. Notes
      -
    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 - situation. -
      2. -
    2. A call to this routine with close=.true. implies a call - to MPI_Finalize, after which no parallel routine may be called. -
      3. -
    3. If the user whishes to use multiple communication contexts in the - same program, or to enter and exit multiple times into the parallel - environment, this routine may be called to - selectively close the contexts with close=.false., while on - the last call it should be called with close=.true. to - shutdown in a clean way the entire parallel environment. +
    4. This routine returns a .true. value for those indices + that are strictly owned by the current process, excluding the halo + indices

    -

    - - -next - -up - -previous - -contents -
    - Next: psb_get_mpicomm Get - Up: Parallel environment routines - Previous: psb_info Return -   Contents - +
    diff --git a/docs/html/node76.html b/docs/html/node76.html index 590d57fe..e27dc8cc 100644 --- a/docs/html/node76.html +++ b/docs/html/node76.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -psb_get_mpicomm -- Get the MPI communicator - +psb_is_local + @@ -20,66 +20,75 @@ original version by: Nikos Drakos, CBLU, University of Leeds - + - next - + up - previous - contents
    - Next: psb_get_rank Get - Up: Parallel environment routines - Previous: psb_exit Exit -   Next: psb_local_index + Up: Data management routines + Previous: psb_owned_index +   Contents

    -

    -psb_get_mpicomm -- Get the MPI communicator +

    +psb_is_local 

    -call psb_get_mpicomm(icontxt, icomm)
+call psb_is_local(x, desc_a)

    -This subroutine returns the MPI communicator associated with a PSBLAS context

    Type:
    Asynchronous.
    -
    On Entry
    +
    On Entry
    -
    icontxt
    -
    the communication context identifying the virtual - parallel machine. +
    x
    +
    Integer index.
    -Scope: global. +Scope: local
    -Type: required. +Type: required
    Intent: in.
    -Specified as: an integer variable. +Specified as: a scalar integer. +
    +
    desc_a
    +
    the communication descriptor. +
    +Scope:local. +
    +Type:required. +
    +Intent: in. +
    +Specified as: a structured data of type descdatapsb_desc_type.
    @@ -88,17 +97,30 @@ Specified as: an integer variable.
    On Return
    -
    icomm
    -
    The MPI communicator associated with the PSBLAS virtual parallel machine. -
    -Scope: global. +
    Function value
    +
    A logical mask which is true if + $x$ is local to the current process +Scope: local
    -Type: required. +Type: required
    Intent: out.
    +

    +Notes + +

      +
    1. This routine returns a .true. value for an index + that is local to the current process, including the halo + indices +
      2. +
    +


    diff --git a/docs/html/node77.html b/docs/html/node77.html index 1522930a..65d02b3c 100644 --- a/docs/html/node77.html +++ b/docs/html/node77.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -psb_get_rank -- Get the MPI rank - +psb_local_index + @@ -20,86 +20,87 @@ original version by: Nikos Drakos, CBLU, University of Leeds - + - next - + up - previous - contents
    - Next: psb_wtime Wall - Up: Parallel environment routines - Previous: psb_get_mpicomm Get -   Next: psb_get_boundary Extract + Up: Data management routines + Previous: psb_is_local +   Contents

    -

    -psb_get_rank -- Get the MPI rank +

    +psb_local_index 

    -call psb_get_rank(rank, icontxt, id)
+call psb_local_index(y, x, desc_a, info)

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

    Type:
    Asynchronous.
    -
    On Entry
    +
    On Entry
    -
    icontxt
    -
    the communication context identifying the virtual - parallel machine. +
    x
    +
    Integer indices.
    -Scope: global. +Scope: local
    -Type: required. +Type: required +
    +Intent: in, inout. +
    +Specified as: a scalar or a rank one integer array. +
    +
    desc_a
    +
    the communication descriptor. +
    +Scope:local. +
    +Type:required.
    Intent: in.
    -Specified as: an integer variable. +Specified as: a structured data of type descdatapsb_desc_type.
    -
    id
    -
    Identifier of a process in the PSBLAS virtual parallel machine. +
    iact
    +
    specifies action to be taken in case of range errors. +Scope: global
    -Scope: local. -
    -Type: required. +Type: optional
    Intent: in.
    -Specified as: an integer value. -$0 \le id \le np-1$
    +Specified as: a character variable Ignore, Warning or +Abort, default Ignore. +

    @@ -107,20 +108,43 @@ Specified as: an integer value. -psb_wtime -- Wall clock timing - +psb_get_boundary -- Extract list of boundary elements + @@ -20,63 +20,111 @@ original version by: Nikos Drakos, CBLU, University of Leeds - + - next - + up - previous - contents
    - Next: psb_barrier Sinchronization - Up: Parallel environment routines - Previous: psb_get_rank Get -   Next: psb_get_overlap Extract + Up: Data management routines + Previous: psb_local_index +   Contents

    -

    -psb_wtime -- Wall clock timing +

    +psb_get_boundary -- Extract list of boundary elements 

    -time = psb_wtime()
+call psb_get_boundary(bndel, desc, info)

    -This function returns a wall clock timer. The resolution of the timer -is dependent on the underlying parallel environment implementation.

    Type:
    Asynchronous.
    -
    On Exit
    +
    On Entry
    -
    Function value
    -
    the elapsed time in seconds. +
    desc
    +
    the communication descriptor.
    -Returned as: a real(psb_dpk_) variable. +Scope:local. +
    +Type:required. +
    +Intent: in. +
    +Specified as: a structured data of type descdatapsb_desc_type.
    +

    +

    +
    On Return
    +
    +
    +
    bndel
    +
    The list of boundary elements on the calling process, in + local numbering. +
    +Scope: local +
    +Type: required +
    +Intent: out. +
    +Specified as: a rank one array with the ALLOCATABLE +attribute, of type integer. +
    +
    info
    +
    Error code. +
    +Scope: local +
    +Type: required +
    +Intent: out. +
    +An integer value; 0 means no error has been detected. +
    +
    + +

    +Notes + +

      +
    1. If there are no boundary elements (i.e., if the local part of + the connectivity graph is self-contained) the output vector is set + to the ``not allocated'' state. +
      2. +
    2. Otherwise the size of bndel will be exactly equal to the + number of boundary elements. +
      3. +
    +


    diff --git a/docs/html/node79.html b/docs/html/node79.html index 60e904d8..2fc320ef 100644 --- a/docs/html/node79.html +++ b/docs/html/node79.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -psb_barrier -- Sinchronization point parallel environment - +psb_get_overlap -- Extract list of overlap elements + @@ -20,71 +20,110 @@ original version by: Nikos Drakos, CBLU, University of Leeds - + - next - + up - previous - contents
    - Next: psb_abort Abort - Up: Parallel environment routines - Previous: psb_wtime Wall -   Next: psb_sp_getrow Extract + Up: Data management routines + Previous: psb_get_boundary Extract +   Contents

    -

    -psb_barrier -- Sinchronization point parallel - environment +

    +psb_get_overlap -- Extract list of overlap elements 

    -call psb_barrier(icontxt)
+call psb_get_overlap(ovrel, desc, info)

    -This subroutine acts as an explicit synchronization point for the PSBLAS -parallel virtual machine.

    Type:
    -
    Synchronous. +
    Asynchronous.
    -
    On Entry
    +
    On Entry
    -
    icontxt
    -
    the communication context identifying the virtual - parallel machine. +
    desc
    +
    the communication descriptor.
    -Scope: global. +Scope:local.
    -Type: required. +Type:required.
    Intent: in.
    -Specified as: an integer variable. +Specified as: a structured data of type descdatapsb_desc_type.
    +

    +

    +
    On Return
    +
    +
    +
    ovrel
    +
    The list of overlap elements on the calling process, in + local numbering. +
    +Scope: local +
    +Type: required +
    +Intent: out. +
    +Specified as: a rank one array with the ALLOCATABLE +attribute, of type integer. +
    +
    info
    +
    Error code. +
    +Scope: local +
    +Type: required +
    +Intent: out. +
    +An integer value; 0 means no error has been detected. +
    +
    + +

    +Notes + +

      +
    1. If there are no overlap elements the output vector is set + to the ``not allocated'' state. +
      2. +
    2. Otherwise the size of ovrel will be exactly equal to the + number of overlap elements. +
      3. +
    +


    diff --git a/docs/html/node8.html b/docs/html/node8.html index 69c0646a..ea8b9adc 100644 --- a/docs/html/node8.html +++ b/docs/html/node8.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -Data Structures - +Data Structures and Classes + @@ -18,7 +18,7 @@ original version by: Nikos Drakos, CBLU, University of Leeds - + @@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds - next - up - previous - contents
    - Next: Next: Descriptor data structure - Up: Up: userhtml - Previous: Previous: Programming model -   Contents

    @@ -54,7 +54,7 @@ original version by: Nikos Drakos, CBLU, University of Leeds


    -Data Structures +Data Structures and Classes

    @@ -62,9 +62,11 @@ In this chapter we illustrate the data structures used for definition of routines interfaces. They include data structures for sparse matrices, communication descriptors and preconditioners.

    -All the data types and the basic subroutine interfaces are defined in +All the data types and the basic subroutine interfaces related to +descriptors and sparse matrices are defined in the module psb_base_mod; this will have to be included by every -user subroutine that makes use of the library. +user subroutine that makes use of the library. The preconditioners are +defined in the module psb_prec_mod

    Real and complex data types are parametrized with a kind type defined @@ -80,10 +82,19 @@ in the library as follows: data; corresponds to a DOUBLE PRECISION declaration and is normally 8 bytes. +

    psb_long_int_k_
    +
    Kind parameter for long integers, used by + the psb_sizeof utility. +
    -Moreover, the library defines a long integer kind -psb_long_int_k_ which normally corresponds to 64-bit integers; -it is only used for the psb_sizeof utility. +Together with the classes attributes we also discuss their +methods. Most methods detailed here only act on the local variable, +i.e. their action is purely local and asynchronous unless otherwise +stated. +The list of methods here is not completely exhaustive; many methods, +especially those that alter the contents of the various objects, are +usually not needed by the end-user, and therefore are described in the +developer's documentation.


    @@ -91,59 +102,109 @@ it is only used for the psb_sizeof utility. Subsections +
  • get_size -- Get maximum number of nonzero elements + in a sparse matrix +
  • sizeof -- Get memory occupation in bytes +of a sparse matrix +
  • get_fmt -- Short description of the dynamic type +
  • is_bld, is_upd, is_asb -- Status check +
  • Named Constants + +
    +
  • Dense Vector Data Structure + +
    +
  • Preconditioner data structure +
  • Data structure Methods + -
    +
    + + +next + +up + +previous + +contents +
    + Next: Descriptor data structure + Up: userhtml + Previous: Programming model +   Contents + diff --git a/docs/html/node80.html b/docs/html/node80.html index be179d4d..07979b43 100644 --- a/docs/html/node80.html +++ b/docs/html/node80.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -psb_abort -- Abort a computation - +psb_sp_getrow -- Extract row(s) from a sparse matrix + @@ -20,71 +20,238 @@ original version by: Nikos Drakos, CBLU, University of Leeds - + - next - + up - previous - contents
    - Next: psb_bcast Broadcast - Up: Parallel environment routines - Previous: psb_barrier Sinchronization -   Next: psb_sizeof Memory + Up: Data management routines + Previous: psb_get_overlap Extract +   Contents

    -

    -psb_abort -- Abort a computation +

    +psb_sp_getrow -- Extract row(s) from a sparse matrix 

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

    -This subroutine aborts computation on the parallel virtual machine.

    Type:
    Asynchronous.
    -
    On Entry
    +
    On Entry
    -
    icontxt
    -
    the communication context identifying the virtual - parallel machine. +
    row
    +
    The (first) row to be extracted.
    -Scope: global. +Scope:local
    -Type: required. +Type:required
    Intent: in.
    -Specified as: an integer variable. +Specified as: an integer $>0$. +
    +
    a
    +
    the matrix from which to get rows. +
    +Scope:local +
    +Type:required +
    +Intent: in. +
    +Specified as: a structured data of type spdatapsb_spmat_type. +
    +
    append
    +
    Whether to append or overwrite existing output. +
    +Scope:local +
    +Type:optional +
    +Intent: in. +
    +Specified as: a logical value default: false (overwrite). +
    +
    nzin
    +
    Input size to be appended to. +
    +Scope:local +
    +Type:optional +
    +Intent: in. +
    +Specified as: an integer $>0$. When append is true, specifies how many +entries in the output vectors are already filled. +
    +
    lrw
    +
    The last row to be extracted. +
    +Scope:local +
    +Type:optional +
    +Intent: in. +
    +Specified as: an integer $>0$, default: $row$. + +

    -

    +
    +
    On Return
    +
    +
    +
    nz
    +
    the number of elements returned by this call. +
    +Scope:local. +
    +Type:required. +
    +Intent: out. +
    +Returned as: an integer scalar. +
    +
    ia
    +
    the row indices. +
    +Scope:local. +
    +Type:required. +
    +Intent: inout. +
    +Specified as: an integer array with the ALLOCATABLE attribute. +
    +
    ja
    +
    the column indices of the elements to be inserted. +
    +Scope:local. +
    +Type:required. +
    +Intent: inout. +
    +Specified as: an integer array with the ALLOCATABLE attribute. +
    +
    val
    +
    the elements to be inserted. +
    +Scope:local. +
    +Type:required. +
    +Intent: inout. +
    +Specified as: a real array with the ALLOCATABLE attribute. +
    +
    info
    +
    Error code. +
    +Scope: local +
    +Type: required +
    +Intent: out. +
    +An integer value; 0 means no error has been detected. +
    +
    + +

    +Notes + +

      +
    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. +
    2. When append=.true. the output arrays are reallocated as + necessary; +
      3. +
    3. The row and column indices are returned in the local numbering + scheme; if the global numbering is desired, the user may employ the + psb_loc_to_glob routine on the output. +
      4. +
    + +

    +

    + + +next + +up + +previous + +contents +
    + Next: psb_sizeof Memory + Up: Data management routines + Previous: psb_get_overlap Extract +   Contents + diff --git a/docs/html/node81.html b/docs/html/node81.html index 8e69eaca..c4949781 100644 --- a/docs/html/node81.html +++ b/docs/html/node81.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -psb_bcast -- Broadcast data - +psb_sizeof -- Memory occupation + @@ -20,143 +20,109 @@ original version by: Nikos Drakos, CBLU, University of Leeds - + - next - + up - previous - contents
    - Next: psb_sum Global - Up: Parallel environment routines - Previous: psb_abort Abort -   Next: Sorting utilities + Up: Data management routines + Previous: psb_sp_getrow Extract +   Contents

    -

    -psb_bcast -- Broadcast data +

    +psb_sizeof -- Memory occupation

    +

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

    -call psb_bcast(icontxt, dat, root)
+isz = psb_sizeof(a)
+isz = psb_sizeof(desc_a)
+isz = psb_sizeof(prec)

    -This subroutine implements a broadcast operation based on the -underlying communication library.

    Type:
    -
    Synchronous. +
    Asynchronous.
    -
    On Entry
    +
    On Entry
    -
    icontxt
    -
    the communication context identifying the virtual - parallel machine. +
    a
    +
    A sparse matrix +$A$.
    -Scope: global. +Scope: local
    -Type: required. +Type: required
    Intent: in.
    -Specified as: an integer variable. +Specified as: a structured data of type spdatapsb_spmat_type.
    -
    dat
    -
    On the root process, the data to be broadcast. +
    desc_a
    +
    Communication descriptor.
    -Scope: global. +Scope: local
    -Type: required. +Type: required
    -Intent: inout. +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 variable, -which may be a scalar or rank 1 array. Type, kind, rank and size must agree on all processes. +Specified as: a structured data of type descdatapsb_desc_type.
    -
    root
    -
    Root process holding data to be broadcast. -
    -Scope: global. +
    prec
    +
    Scope: local
    -Type: optional. +Type: required
    Intent: in.
    -Specified as: an integer value -$0<= root <= np-1$, default 0
    -
    - -

    -

    +Specified as: a preconditioner data structure precdatapsb_prec_type. +
    On Return
    -
    dat
    -
    On processes other than root, the data to be broadcast. -
    -Scope: global. +
    Function value
    +
    The memory occupation of the object specified in + the calling sequence, in bytes.
    -Type: required. +Scope: local
    -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, rank and size must agree on all processes. +Returned as: an integer(psb_long_int_k_) number.

    -

    - - -next - -up - -previous - -contents -
    - Next: psb_sum Global - Up: Parallel environment routines - Previous: psb_abort Abort -   Contents - +
    diff --git a/docs/html/node82.html b/docs/html/node82.html index 892f3389..d519b69c 100644 --- a/docs/html/node82.html +++ b/docs/html/node82.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -psb_sum -- Global sum - +Sorting utilities + @@ -18,102 +18,121 @@ original version by: Nikos Drakos, CBLU, University of Leeds - - + - next - + up - previous - contents
    - Next: psb_max Global - Up: Parallel environment routines - Previous: psb_bcast Broadcast -   Next: Parallel environment routines + Up: Data management routines + Previous: psb_sizeof Memory +   Contents

    -

    -psb_sum -- Global sum +

    +Sorting utilities

    +psb_msort -- Sorting by the Merge-sort + algorithm + +

    +psb_qsort -- Sorting by the Quicksort + algorithm + +

    +psb_hsort -- Sorting by the Heapsort algorithm 

    -call psb_sum(icontxt, dat, root)
+call psb_msort(x,ix,dir,flag)
+call psb_qsort(x,ix,dir,flag)
+call psb_hsort(x,ix,dir,flag)

    -This subroutine implements a sum reduction operation based on the -underlying communication library. +These serial routines sort a sequence $X$ into ascending or +descending order. The argument meaning is identical for the three +calls; the only difference is the algorithm used to accomplish the +task (see Usage Notes below).

    Type:
    -
    Synchronous. +
    Asynchronous.
    On Entry
    -
    icontxt
    -
    the communication context identifying the virtual - parallel machine. +
    x
    +
    The sequence to be sorted.
    -Scope: global. +Type:required.
    -Type: required. -
    -Intent: in. -
    -Specified as: an integer variable. +Specified as: an integer, real or complex array of rank 1.
    -
    dat
    -
    The local contribution to the global sum. -
    -Scope: global. +
    ix
    +
    A vector of indices.
    -Type: required. +Type:optional.
    -Intent: inout. -
    -Specified as: an integer, real or complex variable, which may be a -scalar, or a rank 1 or 2 array. Type, kind, rank and size must agree on all processes. +Specified as: an integer array of (at least) the same size as $X$.
    -
    root
    -
    Process to hold the final sum, or $-1$ to make it available - on all processes. +
    dir
    +
    The desired ordering.
    -Scope: global. +Type:optional.
    -Type: optional. +Specified as: an integer value:
    +
    Integer and real data:
    +
    psb_sort_up_, +psb_sort_down_, psb_asort_up_, psb_asort_down_; +default psb_sort_up_. +
    +
    Complex data:
    +
    psb_lsort_up_, +psb_lsort_down_, psb_asort_up_, psb_asort_down_; +default psb_lsort_up_. +
    +
    +
    +
    flag
    +
    Whether to keep the original values in $IX$.
    -Intent: in. +Type:optional.
    -Specified as: an integer value -$-1<= root <= np-1$, default -1.
    +Specified as: an integer value psb_sort_ovw_idx_ or +psb_sort_keep_idx_; default psb_sort_ovw_idx_. + +

    +

    @@ -121,57 +140,152 @@ Specified as: an integer value +$flag = psb\_sort\_ovw\_idx\_$ 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 + index $i$ we have in $ix(i)$ the position that the item $x(i)$ + occupied in the original data sequence; +

    • +
  • If +$flag = psb\_sort\_keep\_idx\_$ the routine will assume that + the entries in $ix(:)$ have already been initialized by the user; +
    • +
  • 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: + +
      +
    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;
      2. -
    2. The dat argument may also be a long integer scalar. +
    3. The worst case running time for merge-sort and heap-sort is + $O(n \log n)$ as the average case; +
      4. +
    4. The merge-sort algorithm is implemented to take advantage of + subsequences that may be already in the desired ordering prior to + the subroutine call; this situation is relatively common when + dealing with groups of indices of sparse matrix entries, thus + merge-sort is often the preferred choice when a sorting is needed + by other routines in the library. +
      5. +
    • +

    +

    - next - + up - previous - contents
    - Next: psb_max Global - Up: Parallel environment routines - Previous: psb_bcast Broadcast -   Next: Parallel environment routines + Up: Data management routines + Previous: psb_sizeof Memory +   Contents diff --git a/docs/html/node83.html b/docs/html/node83.html index 9addeac9..28b1e21a 100644 --- a/docs/html/node83.html +++ b/docs/html/node83.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -psb_max -- Global maximum - +Parallel environment routines + @@ -18,161 +18,88 @@ original version by: Nikos Drakos, CBLU, University of Leeds - - - + + + - next - + up - previous - contents
    - Next: psb_min Global - Up: Parallel environment routines - Previous: psb_sum Global -   Next: psb_init Initializes + Up: userhtml + Previous: Sorting utilities +   Contents

    -

    -psb_max -- Global maximum -

    - -

    -

    -call psb_max(icontxt, dat, root)
-
    - -

    -This subroutine implements a maximum valuereduction -operation based on the underlying communication library. -

    -
    Type:
    -
    Synchronous. -
    -
    On Entry
    -
    -
    -
    icontxt
    -
    the communication context identifying the virtual - parallel machine. -
    -Scope: global. -
    -Type: required. -
    -Intent: in. -
    -Specified as: an integer variable. -
    -
    dat
    -
    The local contribution to the global maximum. +

    +
    -Scope: local. -
    -Type: required. -
    -Intent: inout. -
    -Specified as: an integer or real variable, which may be a -scalar, or a rank 1 or 2 array. Type, kind, rank and size must agree on all processes. -

    -
    root
    -
    Process to hold the final maximum, or $-1$ to make it available - on all processes. -
    -Scope: global. -
    -Type: optional. -
    -Intent: in. -
    -Specified as: an integer value -$-1<= root <= np-1$, default -1. -
    -
    +Parallel environment routines +

    -

    -
    On Return
    -
    -
    -
    dat
    -
    On destination process(es), the result of the maximum operation. -
    -Scope: global. -
    -Type: required. -
    -Intent: in. -
    -Specified as: an integer or real variable, which may be a -scalar, or a rank 1 or 2 array. Type, kind, rank and size must agree on all processes. -
    -
    - -

    -Notes - -

      -
    1. The dat argument is both input and output, and its - value may be changed even on processes different from the final - result destination. -
      2. -
    2. The dat argument may also be a long integer scalar. -
      3. -
    +
    + +Subsections -

    -

    - - -next - -up - -previous - -contents -
    - Next: psb_min Global - Up: Parallel environment routines - Previous: psb_sum Global -   Contents - + + +
    diff --git a/docs/html/node84.html b/docs/html/node84.html index 578c01e7..9d26d790 100644 --- a/docs/html/node84.html +++ b/docs/html/node84.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -psb_min -- Global minimum - +psb_init -- Initializes PSBLAS parallel environment + @@ -20,49 +20,49 @@ original version by: Nikos Drakos, CBLU, University of Leeds - + - next - + up - previous - contents
    - Next: psb_amx Global - Up: Parallel environment routines - Previous: psb_max Global -   Next: psb_info Return + Up: Parallel environment routines + Previous: Parallel environment routines +   Contents

    -

    -psb_min -- Global minimum +

    +psb_init -- Initializes PSBLAS parallel environment 

    -call psb_min(icontxt, dat, root)
+call psb_init(icontxt, np, basectxt, ids)

    -This subroutine implements a minimum value reduction -operation based on the underlying communication library. +This subroutine initializes the PSBLAS parallel environment, defining +a virtual parallel machine.

    Type:
    Synchronous. @@ -70,36 +70,34 @@ operation based on the underlying communication library.
    On Entry
    -
    icontxt
    -
    the communication context identifying the virtual - parallel machine. +
    np
    +
    Number of processes in the PSBLAS virtual parallel machine.
    Scope: global.
    -Type: required. +Type: optional.
    Intent: in.
    -Specified as: an integer variable. +Specified as: an integer value. Default: use all available processes.
    -
    dat
    -
    The local contribution to the global minimum. +
    basectxt
    +
    the initial communication context. The new context + will be defined from the processes participating in the initial one.
    -Scope: local. +Scope: global.
    -Type: required. +Type: optional.
    -Intent: inout. +Intent: in.
    -Specified as: an integer or real variable, which may be a -scalar, or a rank 1 or 2 array. Type, kind, rank and size must agree on all processes. +Specified as: an integer value. Default: use MPI_COMM_WORLD.
    -
    root
    -
    Process to hold the final value, or $-1$ to make it available - on all processes. +
    ids
    +
    Identities of the processes to use for the new context; the + argument is ignored when np is not specified. This allows the + processes in the new environment to be in an order different from the + original one.
    Scope: global.
    @@ -107,14 +105,11 @@ Type: optional.
    Intent: in.
    -Specified as: an integer value -$-1<= root <= np-1$, default -1. -
    +Specified as: an integer array. Default: use the indices $(0\dots np-1)$. +

    @@ -122,19 +117,19 @@ Specified as: an integer value - next - + up - previous - contents
    - Next: psb_amx Global - Up: Parallel environment routines - Previous: psb_max Global -   Next: psb_info Return + Up: Parallel environment routines + Previous: Parallel environment routines +   Contents diff --git a/docs/html/node85.html b/docs/html/node85.html index 77bc82f6..c017ea99 100644 --- a/docs/html/node85.html +++ b/docs/html/node85.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -psb_amx -- Global maximum absolute value - +psb_info -- Return information about PSBLAS parallel environment + @@ -20,52 +20,53 @@ original version by: Nikos Drakos, CBLU, University of Leeds - + - next - + up - previous - contents
    - Next: psb_amn Global - Up: Parallel environment routines - Previous: psb_min Global -   Next: psb_exit Exit + Up: Parallel environment routines + Previous: psb_init Initializes +   Contents

    -

    -psb_amx -- Global maximum absolute value +

    +psb_info -- Return information about PSBLAS parallel + environment 

    -call psb_amx(icontxt, dat, root)
+call psb_info(icontxt, iam, np)

    -This subroutine implements a maximum absolute value reduction -operation based on the underlying communication library. +This subroutine returns information about the PSBLAS parallel environment, defining +a virtual parallel machine.

    Type:
    -
    Synchronous. +
    Asynchronous.
    On Entry
    @@ -82,95 +83,88 @@ Intent: in.
    Specified as: an integer variable.
    -
    dat
    -
    The local contribution to the global maximum. +
    + +

    +

    +
    On Return
    +
    +
    +
    iam
    +
    Identifier of current process in the PSBLAS virtual parallel machine.
    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. Type, kind, rank and size must agree on all processes. -
    -
    root
    -
    Process to hold the final value, or $-1$ to make it available - on all processes. -
    -Scope: global. -
    -Type: optional. +Intent: out.
    -Intent: in. -
    -Specified as: an integer value $-1<= root <= np-1$, default -1. -
    -
    - -

    -

    -
    On Return
    -
    -
    -
    dat
    -
    On destination process(es), the result of the maximum operation. + WIDTH="140" HEIGHT="29" ALIGN="MIDDLE" BORDER="0" + SRC="img121.png" + ALT="$-1 \le iam \le np-1$">
    +
    np
    +
    Number of processes in the PSBLAS virtual parallel machine.
    Scope: global.
    Type: required.
    -Intent: inout. +Intent: out.
    -Specified as: an integer, real or complex variable, which may be a -scalar, or a rank 1 or 2 array. Type, kind, rank and size must agree on all processes. -
    +Specified as: an integer variable.

    Notes

      -
    1. The dat argument is both input and output, and its - value may be changed even on processes different from the final - result destination. +
    2. For processes in the virtual parallel machine the identifier + will satisfy +$0 \le iam \le np-1$;
      3. -
    3. The dat argument may also be a long integer scalar. +
    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 + execute is to psb_exit.

    - next - + up - previous - contents
    - Next: psb_amn Global - Up: Parallel environment routines - Previous: psb_min Global -   Next: psb_exit Exit + Up: Parallel environment routines + Previous: psb_init Initializes +   Contents diff --git a/docs/html/node86.html b/docs/html/node86.html index 6286cdd8..071d7e8c 100644 --- a/docs/html/node86.html +++ b/docs/html/node86.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -psb_amn -- Global minimum absolute value - +psb_exit -- Exit from PSBLAS parallel environment + @@ -20,49 +20,49 @@ original version by: Nikos Drakos, CBLU, University of Leeds - + - next - + up - previous - contents
    - Next: psb_snd Send - Up: Parallel environment routines - Previous: psb_amx Global -   Next: psb_get_mpicomm Get + Up: Parallel environment routines + Previous: psb_info Return +   Contents

    -

    -psb_amn -- Global minimum absolute value +

    +psb_exit -- Exit from PSBLAS parallel environment 

    -call psb_amn(icontxt, dat, root)
+call psb_exit(icontxt)
+call psb_exit(icontxt,close)

    -This subroutine implements a minimum absolute value reduction -operation based on the underlying communication library. +This subroutine exits from the PSBLAS parallel virtual machine.

    Type:
    Synchronous. @@ -82,24 +82,9 @@ Intent: in.
    Specified as: an integer variable.
    -
    dat
    -
    The local contribution to the global minimum. -
    -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. Type, kind, rank and size must agree on all processes. -
    -
    root
    -
    Process to hold the final value, or $-1$ to make it available - on all processes. +
    close
    +
    Whether to close all data structures related to the + virtual parallel machine, besides those associated with icontxt.
    Scope: global.
    @@ -107,34 +92,7 @@ Type: optional.
    Intent: in.
    -Specified as: an integer value -$-1<= root <= np-1$, default -1. -
    -
    - -

    -

    -
    On Return
    -
    -
    -
    dat
    -
    On destination process(es), the result of the minimum operation. -
    -Scope: global. -
    -Type: required. -
    -Intent: inout. -
    -Specified as: an integer, real or complex variable, which may be a -scalar, or a rank 1 or 2 array. -
    -Type, kind, rank and size must agree on all processes. +Specified as: a logical variable, default value: true.
    @@ -142,37 +100,49 @@ Type, kind, rank and size must agree on all processes. Notes
      -
    1. The dat argument is both input and output, and its - value may be changed even on processes different from the final - result destination. +
    2. 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. +
      3. +
    3. A call to this routine with close=.true. implies a call + to MPI_Finalize, after which no parallel routine may be called.
      4. -
    4. The dat argument may also be a long integer scalar. +
    5. If the user whishes to use multiple communication contexts in the + same program, or to enter and exit multiple times into the parallel + environment, this routine may be called to + selectively close the contexts with close=.false., while on + the last call it should be called with close=.true. to + shutdown in a clean way the entire parallel environment.

    - next - + up - previous - contents
    - Next: psb_snd Send - Up: Parallel environment routines - Previous: psb_amx Global -   Next: psb_get_mpicomm Get + Up: Parallel environment routines + Previous: psb_info Return +   Contents diff --git a/docs/html/node87.html b/docs/html/node87.html index 4da69119..40b1523c 100644 --- a/docs/html/node87.html +++ b/docs/html/node87.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -psb_snd -- Send data - +psb_get_mpicomm -- Get the MPI communicator + @@ -20,51 +20,51 @@ original version by: Nikos Drakos, CBLU, University of Leeds - + - next - + up - previous - contents
    - Next: psb_rcv Receive - Up: Parallel environment routines - Previous: psb_amn Global -   Next: psb_get_rank Get + Up: Parallel environment routines + Previous: psb_exit Exit +   Contents

    -

    -psb_snd -- Send data +

    +psb_get_mpicomm -- Get the MPI communicator 

    -call psb_snd(icontxt, dat, dst, m)
+call psb_get_mpicomm(icontxt, icomm)

    -This subroutine sends a packet of data to a destination. +This subroutine returns the MPI communicator associated with a PSBLAS context

    Type:
    -
    Synchronous: see usage notes. +
    Asynchronous.
    On Entry
    @@ -81,66 +81,6 @@ Intent: in.
    Specified as: an integer variable.
    -
    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. -
    -Type: required. -
    -Intent: in. -
    -Specified as: an integer value -$0<= dst <= np-1$. -
    -
    m
    -
    Number of rows. -
    -Scope: global. -
    -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. -

    @@ -148,45 +88,19 @@ same value on sending and receiving processes.

    On Return
    +
    icomm
    +
    The MPI communicator associated with the PSBLAS virtual parallel machine. +
    +Scope: global. +
    +Type: required. +
    +Intent: out. +

    -Notes - -

      -
    1. This subroutine implies a synchronization, but only between the - calling process and the destination process $dst$. -
      2. -
    - -

    -

    - - -next - -up - -previous - -contents -
    - Next: psb_rcv Receive - Up: Parallel environment routines - Previous: psb_amn Global -   Contents - +
    diff --git a/docs/html/node88.html b/docs/html/node88.html index 171b803a..f7fb114b 100644 --- a/docs/html/node88.html +++ b/docs/html/node88.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -psb_rcv -- Receive data - +psb_get_rank -- Get the MPI rank + @@ -18,52 +18,56 @@ original version by: Nikos Drakos, CBLU, University of Leeds + - + - next - + up - previous - contents
    - Next: Error handling - Up: Parallel environment routines - Previous: psb_snd Send -   Next: psb_wtime Wall + Up: Parallel environment routines + Previous: psb_get_mpicomm Get +   Contents

    -

    -psb_rcv -- Receive data +

    +psb_get_rank -- Get the MPI rank 

    -call psb_rcv(icontxt, dat, src, m)
+call psb_get_rank(rank, icontxt, id)

    -This subroutine receives a packet of data to a destination. +This subroutine returns the MPI rank of the PSBLAS process $id$

    Type:
    -
    Synchronous: see usage notes. +
    Asynchronous.
    On Entry
    @@ -80,50 +84,22 @@ Intent: in.
    Specified as: an integer variable.
    -
    src
    -
    Source process. +
    id
    +
    Identifier of a process in the PSBLAS virtual parallel machine.
    -Scope: global. +Scope: local.
    Type: required.
    Intent: in.
    -Specified as: an integer value -$0<= src <= np-1$. -
    -
    m
    -
    Number of rows. -
    -Scope: global. -
    -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. -
    + WIDTH="114" HEIGHT="30" ALIGN="MIDDLE" BORDER="0" + SRC="img125.png" + ALT="$0 \le id \le np-1$">

    @@ -131,61 +107,22 @@ same value on sending and receiving processes.

    On Return
    -
    dat
    -
    The data to be received. +
    rank
    +
    The MPI rank associated with the PSBLAS process $id$.
    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. -
    +Intent: out. +

    -Notes - -

      -
    1. This subroutine implies a synchronization, but only between the - calling process and the source process $src$. -
      2. -
    - -

    -

    - - -next - -up - -previous - -contents -
    - Next: Error handling - Up: Parallel environment routines - Previous: psb_snd Send -   Contents - +
    diff --git a/docs/html/node89.html b/docs/html/node89.html index 139e8115..ce1ab8d4 100644 --- a/docs/html/node89.html +++ b/docs/html/node89.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -Error handling - +psb_wtime -- Wall clock timing + @@ -18,176 +18,67 @@ original version by: Nikos Drakos, CBLU, University of Leeds - - - + + + - next - + up - previous - contents
    - Next: psb_errpush Pushes - Up: userhtml - Previous: psb_rcv Receive -   Next: psb_barrier Sinchronization + Up: Parallel environment routines + Previous: psb_get_rank Get +   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. +

    +psb_wtime -- Wall clock timing +

    -Figure 8 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. +

    +time = psb_wtime()
+

    - -

    - - - -
    Figure 8: -The layout of a generic psb_foo - routine with respect to PSBLAS-2.0 error handling policy.
    +This function returns a wall clock timer. The resolution of the timer +is dependent on the underlying parallel environment implementation. +
    +
    Type:
    +
    Asynchronous. +
    +
    On Exit
    +
    +
    +
    Function value
    +
    the elapsed time in seconds.
    - -
    - -\fbox{\TheSbox} -
    -
    - -

    -Figure 9 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 9: -A sample PSBLAS-2.0 error - message. Process 0 detected an error condition inside the psb_cest subroutine
    -
    - -
    - -\fbox{\TheSbox} -
    -
    +Returned as: a real(psb_dpk_) variable. + +


    - -Subsections - - - -
    - - -next - -up - -previous - -contents -
    - Next: psb_errpush Pushes - Up: userhtml - Previous: psb_rcv Receive -   Contents - diff --git a/docs/html/node9.html b/docs/html/node9.html index c6f17983..a57625c3 100644 --- a/docs/html/node9.html +++ b/docs/html/node9.html @@ -18,7 +18,7 @@ original version by: Nikos Drakos, CBLU, University of Leeds - + @@ -26,26 +26,26 @@ original version by: Nikos Drakos, CBLU, University of Leeds - next - up - previous - contents
    - Next: Named Constants - Up: Data Structures - Previous: Data Structures -   Next: Methods + Up: Data Structures and Classes + Previous: Data Structures and Classes +   Contents

    @@ -66,7 +66,7 @@ necessary for implementing the various algorithms of interest to us.

    The data structure itself psb_desc_type can be treated as an opaque object handled via the tools routines of -Sec. 6 and 3.5; +Sec. 6 and 3.5; nevertheless we include here a description for the curious reader. @@ -117,7 +117,7 @@ All methods but the last are purely local; the last method potentially requires communication among processes, and thus is a synchronous method. The choice of a specific dynamic type for the index map is made at the time the descriptor is initially allocated, according to -the mode of initialization (see also 6). +the mode of initialization (see also 6).

    The descriptor contents are as follows: @@ -202,7 +202,7 @@ Specified as: an allocatable integer array of rank two. The Fortran 2003 declaration for psb_desc_type structures is as follows: -

    +
    Figure 3: The PSBLAS defined data type that @@ -244,32 +244,40 @@ state, which can take the following values: Subsections
    - next - up - previous - contents
    - Next: Named Constants - Up: Data Structures - Previous: Data Structures -   Next: Methods + Up: Data Structures and Classes + Previous: Data Structures and Classes +   Contents diff --git a/docs/html/node90.html b/docs/html/node90.html index b60cc623..b4d0de13 100644 --- a/docs/html/node90.html +++ b/docs/html/node90.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -psb_errpush -- Pushes an error code onto the error stack - +psb_barrier -- Sinchronization point parallel environment + @@ -20,95 +20,69 @@ original version by: Nikos Drakos, CBLU, University of Leeds - + - next - + up - previous - contents
    - Next: psb_error Prints - Up: Error handling - Previous: Error handling -   Next: psb_abort Abort + Up: Parallel environment routines + Previous: psb_wtime Wall +   Contents

    -

    -psb_errpush -- Pushes an error code onto the error - stack +

    +psb_barrier -- Sinchronization point parallel + environment 

    -call psb_errpush(err_c, r_name, i_err, a_err)
+call psb_barrier(icontxt)

    +This subroutine acts as an explicit synchronization point for the PSBLAS +parallel virtual machine.

    Type:
    -
    Asynchronous. +
    Synchronous.
    -
    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. -
    -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. -

    diff --git a/docs/html/node91.html b/docs/html/node91.html index 0b109c6b..8b80b3ef 100644 --- a/docs/html/node91.html +++ b/docs/html/node91.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -psb_error -- Prints the error stack content and aborts execution - +psb_abort -- Abort a computation + @@ -20,65 +20,66 @@ original version by: Nikos Drakos, CBLU, University of Leeds - + - next - + up - previous - contents
    - Next: psb_set_errverbosity Sets - Up: Error handling - Previous: psb_errpush Pushes -   Next: psb_bcast Broadcast + Up: Parallel environment routines + Previous: psb_barrier Sinchronization +   Contents

    -

    -psb_error -- Prints the error stack content and aborts - execution +

    +psb_abort -- Abort a computation 

    -call psb_error(icontxt)
+call psb_abort(icontxt)

    +This subroutine aborts computation on the parallel virtual machine.

    Type:
    Asynchronous.
    -
    On Entry
    +
    On Entry
    icontxt
    -
    the communication context. +
    the communication context identifying the virtual + parallel machine.
    -Scope: global +Scope: global.
    -Type: optional +Type: required.
    Intent: in.
    -Specified as: an integer. +Specified as: an integer variable.
    diff --git a/docs/html/node92.html b/docs/html/node92.html index 5e0e1523..c0f9ec3b 100644 --- a/docs/html/node92.html +++ b/docs/html/node92.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -psb_set_errverbosity -- Sets the verbosity of error messages. - +psb_bcast -- Broadcast data + @@ -20,70 +20,143 @@ original version by: Nikos Drakos, CBLU, University of Leeds - + - next - + up - previous - contents
    - Next: psb_set_erraction Set - Up: Error handling - Previous: psb_error Prints -   Next: psb_sum Global + Up: Parallel environment routines + Previous: psb_abort Abort +   Contents

    -

    -psb_set_errverbosity -- Sets the verbosity of error - messages. +

    +psb_bcast -- Broadcast data 

    -call psb_set_errverbosity(v)
+call psb_bcast(icontxt, dat, root)

    +This subroutine implements a broadcast operation based on the +underlying communication library.

    Type:
    -
    Asynchronous. +
    Synchronous.
    -
    On Entry
    +
    On Entry
    -
    v
    -
    the verbosity level +
    icontxt
    +
    the communication context identifying the virtual + parallel machine.
    -Scope: global +Scope: global.
    -Type: required +Type: required.
    Intent: in.
    -Specified as: an integer. +Specified as: an integer variable. +
    +
    dat
    +
    On the root process, the data to be broadcast. +
    +Scope: global. +
    +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 variable, +which may be a scalar or rank 1 array. Type, kind, rank and size must agree on all processes. +
    +
    root
    +
    Root process holding data to be broadcast. +
    +Scope: global. +
    +Type: optional. +
    +Intent: in. +
    +Specified as: an integer value +$0<= root <= np-1$, default 0
    +
    + +

    +

    +
    On Return
    +
    +
    +
    dat
    +
    On processes other than root, the data to be broadcast. +
    +Scope: global. +
    +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, rank and size must agree on all processes.

    -

    +
    + + +next + +up + +previous + +contents +
    + Next: psb_sum Global + Up: Parallel environment routines + Previous: psb_abort Abort +   Contents + diff --git a/docs/html/node93.html b/docs/html/node93.html index 8b4f5052..7bf272fb 100644 --- a/docs/html/node93.html +++ b/docs/html/node93.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -psb_set_erraction -- Set the type of action to be taken upon error condition. - +psb_sum -- Global sum + @@ -18,77 +18,162 @@ original version by: Nikos Drakos, CBLU, University of Leeds + - + - next - + up - previous - contents
    - Next: Utilities - Up: Error handling - Previous: psb_set_errverbosity Sets -   Next: psb_max Global + Up: Parallel environment routines + Previous: psb_bcast Broadcast +   Contents

    -

    -psb_set_erraction -- Set the type of action to be - taken upon error condition. +

    +psb_sum -- Global sum 

    -call psb_set_erraction(err_act)
+call psb_sum(icontxt, dat, root)

    +This subroutine implements a sum reduction operation based on the +underlying communication library.

    Type:
    -
    Asynchronous. +
    Synchronous.
    -
    On Entry
    +
    On Entry
    -
    err_act
    -
    the type of action. +
    icontxt
    +
    the communication context identifying the virtual + parallel machine.
    -Scope: global +Scope: global.
    -Type: required +Type: required.
    Intent: in.
    -Specified as: an integer. Possible values: psb_act_ret, -psb_act_abort. +Specified as: an integer variable. +
    +
    dat
    +
    The local contribution to the global sum. +
    +Scope: global. +
    +Type: required. +
    +Intent: inout. +
    +Specified as: an integer, real or complex variable, which may be a +scalar, or a rank 1 or 2 array. Type, kind, rank and size must agree on all processes.
    +
    root
    +
    Process to hold the final sum, or $-1$ to make it available + on all processes. +
    +Scope: global. +
    +Type: optional. +
    +Intent: in. +
    +Specified as: an integer value +$-1<= root <= np-1$, default -1.

    -

    -call psb_errcomm(icontxt, err)
-
    +
    +
    On Return
    +
    +
    +
    dat
    +
    On destination process(es), the result of the sum operation. +
    +Scope: global. +
    +Type: required. +
    +Intent: inout. +
    +Specified as: an integer, real or complex variable, which may be a +scalar, or a rank 1 or 2 array. +
    +Type, kind, rank and size must agree on all processes. +
    +

    -

    +Notes + +
      +
    1. The dat argument is both input and output, and its + value may be changed even on processes different from the final + result destination. +
      2. +
    2. The dat argument may also be a long integer scalar. +
      3. +
    + +

    +

    + + +next + +up + +previous + +contents +
    + Next: psb_max Global + Up: Parallel environment routines + Previous: psb_bcast Broadcast +   Contents + diff --git a/docs/html/node94.html b/docs/html/node94.html index d7a71f94..5d7fd1a5 100644 --- a/docs/html/node94.html +++ b/docs/html/node94.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -Utilities - +psb_max -- Global maximum + @@ -18,74 +18,161 @@ original version by: Nikos Drakos, CBLU, University of Leeds - - - + + + - next - + up - previous - contents
    - Next: hb_read Read - Up: userhtml - Previous: psb_set_erraction Set -   Next: psb_min Global + Up: Parallel environment routines + Previous: psb_sum Global +   Contents

    -

    - +

    +psb_max -- Global maximum +

    + +

    +

    +call psb_max(icontxt, dat, root)
+
    + +

    +This subroutine implements a maximum valuereduction +operation based on the underlying communication library. +

    +
    Type:
    +
    Synchronous. +
    +
    On Entry
    +
    +
    +
    icontxt
    +
    the communication context identifying the virtual + parallel machine. +
    +Scope: global. +
    +Type: required. +
    +Intent: in. +
    +Specified as: an integer variable. +
    +
    dat
    +
    The local contribution to the global maximum.
    -Utilities - +Scope: local. +
    +Type: required. +
    +Intent: inout. +
    +Specified as: an integer or real variable, which may be a +scalar, or a rank 1 or 2 array. Type, kind, rank and size must agree on all processes. +
    +
    root
    +
    Process to hold the final maximum, or $-1$ to make it available + on all processes. +
    +Scope: global. +
    +Type: optional. +
    +Intent: in. +
    +Specified as: an integer value +$-1<= root <= np-1$, default -1. +
    +

    -We have some utitlities available for input and output of -sparsematrices; the interfaces to these routines are available in the -module psb_util_mod. +

    +
    On Return
    +
    +
    +
    dat
    +
    On destination process(es), the result of the maximum operation. +
    +Scope: global. +
    +Type: required. +
    +Intent: in. +
    +Specified as: an integer or real variable, which may be a +scalar, or a rank 1 or 2 array. Type, kind, rank and size must agree on all processes. +
    +

    -

    - -Subsections +Notes + +
      +
    1. The dat argument is both input and output, and its + value may be changed even on processes different from the final + result destination. +
      2. +
    2. The dat argument may also be a long integer scalar. +
      3. +
    - - -
    +

    +

    + + +next + +up + +previous + +contents +
    + Next: psb_min Global + Up: Parallel environment routines + Previous: psb_sum Global +   Contents + diff --git a/docs/html/node95.html b/docs/html/node95.html index cc868f5b..1100582a 100644 --- a/docs/html/node95.html +++ b/docs/html/node95.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -hb_read -- Read a sparse matrix from a file in the Harwell-Boeing format - +psb_min -- Global minimum + @@ -20,71 +20,101 @@ original version by: Nikos Drakos, CBLU, University of Leeds - + - next - + up - previous - contents
    - Next: hb_write Write - Up: Utilities - Previous: Utilities -   Next: psb_amx Global + Up: Parallel environment routines + Previous: psb_max Global +   Contents

    -

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

    +psb_min -- Global minimum 

    -call hb_read(a, iret, iunit, filename, b, mtitle)
+call psb_min(icontxt, dat, root)

    +This subroutine implements a minimum value reduction +operation based on the underlying communication library.

    Type:
    -
    Asynchronous. +
    Synchronous.
    On Entry
    -
    filename
    -
    The name of the file to be read. +
    icontxt
    +
    the communication context identifying the virtual + parallel machine. +
    +Scope: global.
    -Type:optional. +Type: required.
    -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: -. +Intent: in. +
    +Specified as: an integer variable.
    -
    iunit
    -
    The Fortran file unit number. +
    dat
    +
    The local contribution to the global minimum. +
    +Scope: local.
    -Type:optional. +Type: required.
    -Specified as: an integer value. Only meaningful if filename is not -. +Intent: inout. +
    +Specified as: an integer or real variable, which may be a +scalar, or a rank 1 or 2 array. Type, kind, rank and size must agree on all processes.
    +
    root
    +
    Process to hold the final value, or $-1$ to make it available + on all processes. +
    +Scope: global. +
    +Type: optional. +
    +Intent: in. +
    +Specified as: an integer value +$-1<= root <= np-1$, default -1. +

    @@ -92,63 +122,57 @@ Specified as: an integer value. Only meaningful if filename is not -On Return

    -
    a
    -
    the sparse matrix read from file. -
    -Type:required. +
    dat
    +
    On destination process(es), the result of the minimum operation.
    -Specified as: a structured data of type spdatapsb_spmat_type. -
    -
    b
    -
    Rigth hand side(s). +Scope: global.
    -Type: Optional +Type: required.
    -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. +Intent: inout.
    -Type: Optional +Specified as: an integer or real variable, which may be a +scalar, or a rank 1 or 2 array.
    -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. +Type, kind, rank and size must agree on all processes.
    +

    +Notes + +

      +
    1. The dat argument is both input and output, and its + value may be changed even on processes different from the final + result destination. +
      2. +
    2. The dat argument may also be a long integer scalar. +
      3. +
    +

    - next - + up - previous - contents
    - Next: hb_write Write - Up: Utilities - Previous: Utilities -   Next: psb_amx Global + Up: Parallel environment routines + Previous: psb_max Global +   Contents diff --git a/docs/html/node96.html b/docs/html/node96.html index 2ad99819..a8cc2dc9 100644 --- a/docs/html/node96.html +++ b/docs/html/node96.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -hb_write -- Write a sparse matrix to a file in the Harwell-Boeing format - +psb_amx -- Global maximum absolute value + @@ -20,105 +20,101 @@ original version by: Nikos Drakos, CBLU, University of Leeds - + - next - + up - previous - contents
    - Next: mm_mat_read Read - Up: Utilities - Previous: hb_read Read -   Next: psb_amn Global + Up: Parallel environment routines + Previous: psb_min Global +   Contents

    -

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

    +psb_amx -- Global maximum absolute value 

    -call hb_write(a, iret, iunit, filename, key, rhs, mtitle)
+call psb_amx(icontxt, dat, root)

    +This subroutine implements a maximum absolute value reduction +operation based on the underlying communication library.

    Type:
    -
    Asynchronous. +
    Synchronous.
    On Entry
    -
    a
    -
    the sparse matrix to be written. +
    icontxt
    +
    the communication context identifying the virtual + parallel machine.
    -Type:required. +Scope: global.
    -Specified as: a structured data of type spdatapsb_spmat_type. -
    -
    b
    -
    Rigth hand side. +Type: required.
    -Type: Optional +Intent: in.
    -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. +Specified as: an integer variable.
    -
    filename
    -
    The name of the file to be written to. +
    dat
    +
    The local contribution to the global maximum.
    -Type:optional. +Scope: local.
    -Specified as: a character variable containing a valid file name, or --, in which case the default output unit 6 (i.e. standard output -in Unix jargon) is used. Default: -. -
    -
    iunit
    -
    The Fortran file unit number. +Type: required.
    -Type:optional. +Intent: inout.
    -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. +Specified as: an integer, real or complex variable, which may be a +scalar, or a rank 1 or 2 array. Type, kind, rank and size must agree on all processes.
    +
    root
    +
    Process to hold the final value, or $-1$ to make it available + on all processes. +
    +Scope: global. +
    +Type: optional. +
    +Intent: in. +
    +Specified as: an integer value +$-1<= root <= np-1$, default -1. +

    @@ -126,38 +122,55 @@ written to file.

    On Return
    -
    iret
    -
    Error code. +
    dat
    +
    On destination process(es), the result of the maximum operation. +
    +Scope: global. +
    +Type: required.
    -Type: required +Intent: inout.
    -An integer value; 0 means no error has been detected. +Specified as: an integer, real or complex variable, which may be a +scalar, or a rank 1 or 2 array. Type, kind, rank and size must agree on all processes.
    +

    +Notes + +

      +
    1. The dat argument is both input and output, and its + value may be changed even on processes different from the final + result destination. +
      2. +
    2. The dat argument may also be a long integer scalar. +
      3. +
    +

    - next - + up - previous - contents
    - Next: mm_mat_read Read - Up: Utilities - Previous: hb_read Read -   Next: psb_amn Global + Up: Parallel environment routines + Previous: psb_min Global +   Contents diff --git a/docs/html/node97.html b/docs/html/node97.html index b29dd9c9..c87cfbf5 100644 --- a/docs/html/node97.html +++ b/docs/html/node97.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -mm_mat_read -- Read a sparse matrix from a file in the MatrixMarket format - +psb_amn -- Global minimum absolute value + @@ -20,71 +20,101 @@ original version by: Nikos Drakos, CBLU, University of Leeds - + - next - + up - previous - contents
    - Next: mm_vet_read Read - Up: Utilities - Previous: hb_write Write -   Next: psb_snd Send + Up: Parallel environment routines + Previous: psb_amx Global +   Contents

    -

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

    +psb_amn -- Global minimum absolute value 

    -call mm_mat_read(a, iret, iunit, filename)
+call psb_amn(icontxt, dat, root)

    +This subroutine implements a minimum absolute value reduction +operation based on the underlying communication library.

    Type:
    -
    Asynchronous. +
    Synchronous.
    On Entry
    -
    filename
    -
    The name of the file to be read. +
    icontxt
    +
    the communication context identifying the virtual + parallel machine.
    -Type:optional. +Scope: global.
    -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: -. +Type: required. +
    +Intent: in. +
    +Specified as: an integer variable.
    -
    iunit
    -
    The Fortran file unit number. +
    dat
    +
    The local contribution to the global minimum. +
    +Scope: local.
    -Type:optional. +Type: required.
    -Specified as: an integer value. Only meaningful if filename is not -. +Intent: inout. +
    +Specified as: an integer, real or complex variable, which may be a +scalar, or a rank 1 or 2 array. Type, kind, rank and size must agree on all processes.
    +
    root
    +
    Process to hold the final value, or $-1$ to make it available + on all processes. +
    +Scope: global. +
    +Type: optional. +
    +Intent: in. +
    +Specified as: an integer value +$-1<= root <= np-1$, default -1. +

    @@ -92,24 +122,59 @@ Specified as: an integer value. Only meaningful if filename is not -On Return

    -
    a
    -
    the sparse matrix read from file. +
    dat
    +
    On destination process(es), the result of the minimum operation.
    -Type:required. +Scope: global.
    -Specified as: a structured data of type spdatapsb_spmat_type. -
    -
    iret
    -
    Error code. +Type: required.
    -Type: required +Intent: inout.
    -An integer value; 0 means no error has been detected. +Specified as: an integer, real or complex variable, which may be a +scalar, or a rank 1 or 2 array. +
    +Type, kind, rank and size must agree on all processes.

    -

    +Notes + +
      +
    1. The dat argument is both input and output, and its + value may be changed even on processes different from the final + result destination. +
      2. +
    2. The dat argument may also be a long integer scalar. +
      3. +
    + +

    +

    + + +next + +up + +previous + +contents +
    + Next: psb_snd Send + Up: Parallel environment routines + Previous: psb_amx Global +   Contents + diff --git a/docs/html/node98.html b/docs/html/node98.html index e9bf7fbf..4fe488b6 100644 --- a/docs/html/node98.html +++ b/docs/html/node98.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -mm_vet_read -- Read a dense vector from a file in the MatrixMarket format - +psb_snd -- Send data + @@ -20,69 +20,126 @@ original version by: Nikos Drakos, CBLU, University of Leeds - + - next - + up - previous - contents
    - Next: mm_mat_write Write - Up: Utilities - Previous: mm_mat_read Read -   Next: psb_rcv Receive + Up: Parallel environment routines + Previous: psb_amn Global +   Contents

    -

    -mm_vet_read -- Read a dense vector from a - file in the MatrixMarket format +

    +psb_snd -- Send data

    +

    -call mm_vet_read(b, iret, iunit, filename)
+call psb_snd(icontxt, dat, dst, m)

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

    Type:
    -
    Asynchronous. +
    Synchronous: see usage notes.
    On Entry
    -
    filename
    -
    The name of the file to be read. +
    icontxt
    +
    the communication context identifying the virtual + parallel machine. +
    +Scope: global. +
    +Type: required.
    -Type:optional. +Intent: in.
    -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: -. +Specified as: an integer variable.
    -
    iunit
    -
    The Fortran file unit number. +
    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.
    -Type:optional. +Type: required.
    -Specified as: an integer value. Only meaningful if filename is not -. +Intent: in. +
    +Specified as: an integer value +$0<= dst <= np-1$. +
    +
    m
    +
    Number of rows. +
    +Scope: global. +
    +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.
    @@ -91,26 +148,45 @@ 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 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. -
    -Type: required -
    -An integer value; 0 means no error has been detected. -

    -

    +Notes + +
      +
    1. This subroutine implies a synchronization, but only between the + calling process and the destination process $dst$. +
      2. +
    + +

    +

    + + +next + +up + +previous + +contents +
    + Next: psb_rcv Receive + Up: Parallel environment routines + Previous: psb_amn Global +   Contents + diff --git a/docs/html/node99.html b/docs/html/node99.html index 16644100..0c466ac1 100644 --- a/docs/html/node99.html +++ b/docs/html/node99.html @@ -7,8 +7,8 @@ original version by: Nikos Drakos, CBLU, University of Leeds Jens Lippmann, Marek Rouchal, Martin Wilck and others --> -mm_mat_write -- Write a sparse matrix to a file in the MatrixMarket format - +psb_rcv -- Receive data + @@ -19,82 +19,110 @@ original version by: Nikos Drakos, CBLU, University of Leeds - + - next - + up - previous - contents
    - Next: Preconditioner routines - Up: Utilities - Previous: mm_vet_read Read -   Next: Error handling + Up: Parallel environment routines + Previous: psb_snd Send +   Contents

    -

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

    +psb_rcv -- Receive data

    +

    -call mm_mat_write(a, mtitle, iret, iunit, filename)
+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
    -
    a
    -
    the sparse matrix to be written. +
    icontxt
    +
    the communication context identifying the virtual + parallel machine.
    -Type:required. +Scope: global.
    -Specified as: a structured data of type spdatapsb_spmat_type. -
    -
    mtitle
    -
    Matrix title. +Type: required.
    -Type: required +Intent: in.
    -A charachter variable holding a descriptive title for the matrix to be - written to file. +Specified as: an integer variable.
    -
    filename
    -
    The name of the file to be written to. +
    src
    +
    Source process.
    -Type:optional. +Scope: global.
    -Specified as: a character variable containing a valid file name, or --, in which case the default output unit 6 (i.e. standard output -in Unix jargon) is used. Default: -. -
    -
    iunit
    -
    The Fortran file unit number. +Type: required. +
    +Intent: in. +
    +Specified as: an integer value +$0<= src <= np-1$. +
    +
    m
    +
    Number of rows.
    -Type:optional. +Scope: global.
    -Specified as: an integer value. Only meaningful if filename is not -. +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.
    @@ -103,17 +131,61 @@ Specified as: an integer value. Only meaningful if filename is not -On Return
    -
    iret
    -
    Error code. +
    dat
    +
    The data to be received.
    -Type: required +Scope: local.
    -An integer value; 0 means no error has been detected. +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.

    -

    +Notes + +
      +
    1. This subroutine implies a synchronization, but only between the + calling process and the source process $src$. +
      2. +
    + +

    +

    + + +next + +up + +previous + +contents +
    + Next: Error handling + Up: Parallel environment routines + Previous: psb_snd Send +   Contents + diff --git a/docs/html/userhtml.html b/docs/html/userhtml.html index fc0b17cf..adcb8b18 100644 --- a/docs/html/userhtml.html +++ b/docs/html/userhtml.html @@ -23,18 +23,18 @@ original version by: Nikos Drakos, CBLU, University of Leeds - next up previous - contents
    - Next: Next: Contents -   Contents

    @@ -65,285 +65,310 @@ December 15th, 2011
    -
  • Communication routines +
  • Computational routines -
    + HREF="node42.html">psb_geamaxs -- Generalized Infinity Norm
  • Data management routines - +
  • psb_spall -- Allocates a sparse matrix + HREF="node50.html">Communication routines + +
  • psb_geall -- Allocates a dense matrix + HREF="node55.html">Data management routines + -
    + HREF="node70.html">psb_gefree -- Frees a dense matrix
  • Parallel environment routines - +
  • psb_min -- Global minimum + HREF="node83.html">Parallel environment routines +
    -
  • Error handling +
  • Error handling
    -
  • Utilities +
  • Utilities
    -
  • Preconditioner routines +
  • Preconditioner routines
    -
  • Iterative Methods +
  • Iterative Methods
    -
  • Bibliography -
  • About this document ... +
  • Bibliography +
  • About this document ...
    diff --git a/docs/psblas-3.0.pdf b/docs/psblas-3.0.pdf index 25d4ad33..917473ab 100644 --- a/docs/psblas-3.0.pdf +++ b/docs/psblas-3.0.pdf @@ -46,7 +46,7 @@ endobj << /S /GoTo /D (section.3) >> endobj 36 0 obj -(3 Data Structures) +(3 Data Structures and Classes) endobj 37 0 obj << /S /GoTo /D (subsection.3.1) >> @@ -58,588 +58,648 @@ endobj << /S /GoTo /D (subsubsection.3.1.1) >> endobj 44 0 obj -(3.1.1 Named Constants) +(3.1.1 Methods) endobj 45 0 obj -<< /S /GoTo /D (subsection.3.2) >> +<< /S /GoTo /D (section*.2) >> endobj 48 0 obj -(3.2 Sparse Matrix data structure) +(get\137local\137rows ) endobj 49 0 obj -<< /S /GoTo /D (subsubsection.3.2.1) >> +<< /S /GoTo /D (section*.3) >> endobj 52 0 obj -(3.2.1 Named Constants) +(get\137local\137cols ) endobj 53 0 obj -<< /S /GoTo /D (subsection.3.3) >> +<< /S /GoTo /D (section*.4) >> endobj 56 0 obj -(3.3 Dense Vector Data Structure) +(get\137global\137rows ) endobj 57 0 obj -<< /S /GoTo /D (subsection.3.4) >> +<< /S /GoTo /D (section*.5) >> endobj 60 0 obj -(3.4 Preconditioner data structure) +(get\137global\137cols ) endobj 61 0 obj -<< /S /GoTo /D (subsection.3.5) >> +<< /S /GoTo /D (section*.6) >> endobj 64 0 obj -(3.5 Data structure query routines) +(get\137context) endobj 65 0 obj -<< /S /GoTo /D (section*.2) >> +<< /S /GoTo /D (section*.7) >> endobj 68 0 obj -(get\137local\137rows ) +(psb\137cd\137get\137large\137threshold) endobj 69 0 obj -<< /S /GoTo /D (section*.3) >> +<< /S /GoTo /D (section*.8) >> endobj 72 0 obj -(get\137local\137cols ) +(psb\137cd\137set\137large\137threshold) endobj 73 0 obj -<< /S /GoTo /D (section*.4) >> +<< /S /GoTo /D (subsubsection.3.1.2) >> endobj 76 0 obj -(get\137global\137rows ) +(3.1.2 Named Constants) endobj 77 0 obj -<< /S /GoTo /D (section*.5) >> +<< /S /GoTo /D (subsection.3.2) >> endobj 80 0 obj -(get\137global\137cols ) +(3.2 Sparse Matrix class) endobj 81 0 obj -<< /S /GoTo /D (section*.6) >> +<< /S /GoTo /D (subsubsection.3.2.1) >> endobj 84 0 obj 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+0 g 0 G +0 0 1 rg 0 0 1 RG + 22.914 -12.123 Td [(3.2.1)-1144(Metho)-28(ds)]TJ +0 g 0 G + [-356(.)-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(15)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -72.601 -12.702 Td [(get)]TJ + 0 -12.122 Td [(get)]TJ ET q -1 0 0 1 151.635 395.494 cm +1 0 0 1 151.635 433.658 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 154.624 395.295 Td [(nro)28(ws)]TJ +/F8 9.9626 Tf 154.624 433.459 Td [(nro)28(ws)]TJ 0 g 0 G [-776(.)-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(.)]TJ 0 g 0 G - [-1084(18)]TJ + [-1084(15)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -16.87 -12.703 Td [(get)]TJ + -16.87 -12.122 Td [(get)]TJ ET q -1 0 0 1 151.635 382.791 cm +1 0 0 1 151.635 421.536 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 154.624 382.592 Td [(ncols)]TJ +/F8 9.9626 Tf 154.624 421.337 Td [(ncols)]TJ 0 g 0 G [-362(.)-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(18)]TJ + [-1084(15)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -16.87 -12.702 Td [(get)]TJ + -16.87 -12.123 Td [(get)]TJ ET q -1 0 0 1 151.635 370.089 cm +1 0 0 1 151.635 409.414 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 154.624 369.89 Td [(nnzeros)]TJ +/F8 9.9626 Tf 154.624 409.214 Td [(nnzeros)]TJ 0 g 0 G [-804(.)-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(.)]TJ 0 g 0 G - [-1084(19)]TJ -0 g 0 G -0 0 1 rg 0 0 1 RG -/F27 9.9626 Tf -54.729 -23.163 Td [(4)-925(Computational)-383(r)-1(ou)1(t)-1(ines)]TJ + [-1084(16)]TJ 0 g 0 G - [-19886(20)]TJ 0 0 1 rg 0 0 1 RG -/F8 9.9626 Tf 14.944 -12.703 Td [(psb)]TJ + -16.87 -12.122 Td [(get)]TJ ET q -1 0 0 1 130.436 334.224 cm +1 0 0 1 151.635 397.291 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 133.425 334.024 Td [(geaxpb)28(y)]TJ +/F8 9.9626 Tf 154.624 397.092 Td [(size)]TJ 0 g 0 G - [-301(.)-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 + [-973(.)-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(21)]TJ + [-1084(16)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -12.702 Td [(psb)]TJ -ET -q -1 0 0 1 130.436 321.521 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S -Q -BT -/F8 9.9626 Tf 133.425 321.322 Td [(gedot)]TJ + -16.87 -12.122 Td [(sizeof)]TJ 0 g 0 G - [-718(.)-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 + [-305(.)-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(.)-500(.)]TJ 0 g 0 G - [-1083(23)]TJ + [-1084(17)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -12.702 Td [(psb)]TJ + 0 -12.123 Td [(get)]TJ ET q -1 0 0 1 130.436 308.819 cm +1 0 0 1 151.635 373.046 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 133.425 308.62 Td [(gedots)]TJ +/F8 9.9626 Tf 154.624 372.847 Td [(fm)28(t)]TJ 0 g 0 G - [-323(.)-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 + [-257(.)-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(25)]TJ + [-1084(17)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -12.703 Td [(psb)]TJ + -16.87 -12.122 Td [(is)]TJ ET q -1 0 0 1 130.436 296.116 cm +1 0 0 1 145.048 360.924 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 133.425 295.917 Td [(geamax)]TJ -0 g 0 G - [-579(.)-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 - [-1084(27)]TJ -0 g 0 G -0 0 1 rg 0 0 1 RG - -18.586 -12.702 Td [(psb)]TJ +/F8 9.9626 Tf 148.037 360.725 Td [(bld,)-333(is)]TJ ET q -1 0 0 1 130.436 283.414 cm +1 0 0 1 175.257 360.924 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 133.425 283.215 Td [(geamaxs)]TJ -0 g 0 G - [-962(.)-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 - [-1084(28)]TJ -0 g 0 G -0 0 1 rg 0 0 1 RG - -18.586 -12.703 Td [(psb)]TJ +/F8 9.9626 Tf 178.246 360.725 Td [(up)-28(d,)-333(is)]TJ ET q -1 0 0 1 130.436 270.712 cm +1 0 0 1 208.51 360.924 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 133.425 270.512 Td [(geasum)]TJ +/F8 9.9626 Tf 211.499 360.725 Td [(asb)]TJ 0 g 0 G - [-657(.)-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 + [-820(.)-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 - [-1083(29)]TJ + [-1084(17)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -12.702 Td [(psb)]TJ -ET -q -1 0 0 1 130.436 258.009 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S -Q -BT -/F8 9.9626 Tf 133.425 257.81 Td [(geasums)]TJ + -73.746 -12.123 Td [(3.2.2)-1144(Nam)-1(ed)-333(Constan)28(ts)]TJ 0 g 0 G - [-262(.)-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 + [-1017(.)-499(.)-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(30)]TJ + [-1084(18)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -12.702 Td [(psb)]TJ -ET -q -1 0 0 1 130.436 245.307 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S -Q -BT -/F8 9.9626 Tf 133.425 245.108 Td [(geasums)]TJ + -22.914 -12.122 Td [(3.3)-1022(Dense)-334(V)84(ector)-334(Data)-333(Structure)]TJ 0 g 0 G - [-262(.)-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 + [-852(.)-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(32)]TJ + [-1084(18)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -12.703 Td [(psb)]TJ -ET -q -1 0 0 1 130.436 232.605 cm -[]0 d 0 J 0.398 w 0 0 m 2.989 0 l S -Q -BT -/F8 9.9626 Tf 133.425 232.405 Td [(genrm2s)]TJ + 22.914 -12.122 Td [(3.3.1)-1144(Metho)-28(ds)]TJ 0 g 0 G - [-265(.)-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 + [-356(.)-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(33)]TJ + [-1084(19)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -12.702 Td [(psb)]TJ + 0 -12.123 Td [(v)]TJ ET q -1 0 0 1 130.436 219.902 cm +1 0 0 1 143.609 312.435 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 133.425 219.703 Td [(spnrmi)]TJ -0 g 0 G - [-876(.)-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(34)]TJ -0 g 0 G -0 0 1 rg 0 0 1 RG - -18.586 -12.702 Td [(psb)]TJ +/F8 9.9626 Tf 146.598 312.235 Td [(get)]TJ ET q -1 0 0 1 130.436 207.2 cm +1 0 0 1 160.479 312.435 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 133.425 207.001 Td [(spmm)]TJ +/F8 9.9626 Tf 163.468 312.235 Td [(nro)28(ws)]TJ 0 g 0 G - [-490(.)-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 + [-666(.)-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 - [-1084(35)]TJ + [-1084(19)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -12.703 Td [(psb)]TJ + -25.715 -12.122 Td [(v)]TJ ET q -1 0 0 1 130.436 194.498 cm +1 0 0 1 143.609 300.312 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 133.425 194.298 Td [(spsm)]TJ +/F8 9.9626 Tf 146.598 300.113 Td [(sizeof)]TJ 0 g 0 G - [-929(.)-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 + [-973(.)-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(37)]TJ -0 g 0 G -0 0 1 rg 0 0 1 RG -/F27 9.9626 Tf -33.53 -23.163 Td [(5)-925(Comm)32(unication)-384(routines)]TJ + [-1084(19)]TJ 0 g 0 G - [-19454(40)]TJ 0 0 1 rg 0 0 1 RG -/F8 9.9626 Tf 14.944 -12.702 Td [(psb)]TJ + -8.845 -12.122 Td [(v)]TJ ET q -1 0 0 1 130.436 158.632 cm +1 0 0 1 143.609 288.19 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 133.425 158.433 Td [(halo)]TJ -0 g 0 G - [-495(.)-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(.)-500(.)-500(.)-500(.)]TJ -0 g 0 G - [-1084(41)]TJ -0 g 0 G -0 0 1 rg 0 0 1 RG - -18.586 -12.703 Td [(psb)]TJ +/F8 9.9626 Tf 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181.246 444.643 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 184.235 536.214 Td [(geins)]TJ +/F8 9.9626 Tf 184.235 444.444 Td [(geins)]TJ 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(70)]TJ + [-1084(72)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -13.071 Td [(psb)]TJ + -18.586 -12.08 Td [(psb)]TJ ET q -1 0 0 1 181.246 523.343 cm +1 0 0 1 181.246 432.563 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 184.235 523.143 Td [(geasb)]TJ +/F8 9.9626 Tf 184.235 432.364 Td [(geasb)]TJ 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(72)]TJ + [-1084(74)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -13.07 Td [(psb)]TJ + -18.586 -12.08 Td [(psb)]TJ ET q -1 0 0 1 181.246 510.272 cm +1 0 0 1 181.246 420.483 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 184.235 510.073 Td [(gefree)]TJ +/F8 9.9626 Tf 184.235 420.284 Td [(gefree)]TJ 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(73)]TJ + [-1084(75)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -13.07 Td [(psb)]TJ + -18.586 -12.08 Td [(psb)]TJ ET q -1 0 0 1 181.246 497.202 cm +1 0 0 1 181.246 408.404 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 184.235 497.003 Td [(gelp)]TJ +/F8 9.9626 Tf 184.235 408.204 Td [(gelp)]TJ 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(74)]TJ + [-1084(76)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -13.071 Td [(psb)]TJ + -18.586 -12.079 Td [(psb)]TJ ET q -1 0 0 1 181.246 484.132 cm +1 0 0 1 181.246 396.324 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 184.235 483.932 Td [(glob)]TJ +/F8 9.9626 Tf 184.235 396.125 Td [(glob)]TJ ET q -1 0 0 1 203.097 484.132 cm +1 0 0 1 203.097 396.324 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 206.086 483.932 Td [(to)]TJ +/F8 9.9626 Tf 206.086 396.125 Td [(to)]TJ ET q -1 0 0 1 215.54 484.132 cm +1 0 0 1 215.54 396.324 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 218.528 483.932 Td [(lo)-28(c)]TJ +/F8 9.9626 Tf 218.528 396.125 Td [(lo)-28(c)]TJ 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(75)]TJ + [-1083(77)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -52.879 -13.07 Td [(psb)]TJ + -52.879 -12.08 Td [(psb)]TJ ET q -1 0 0 1 181.246 471.061 cm +1 0 0 1 181.246 384.244 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 184.235 470.862 Td [(lo)-28(c)]TJ +/F8 9.9626 Tf 184.235 384.045 Td [(lo)-28(c)]TJ ET q -1 0 0 1 197.286 471.061 cm +1 0 0 1 197.286 384.244 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 200.275 470.862 Td [(to)]TJ +/F8 9.9626 Tf 200.275 384.045 Td [(to)]TJ ET q -1 0 0 1 209.728 471.061 cm +1 0 0 1 209.728 384.244 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 212.717 470.862 Td [(glob)]TJ +/F8 9.9626 Tf 212.717 384.045 Td [(glob)]TJ 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(77)]TJ + [-1083(79)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -47.068 -13.071 Td [(psb)]TJ + -47.068 -12.08 Td [(psb)]TJ ET q -1 0 0 1 181.246 457.991 cm +1 0 0 1 181.246 372.165 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 184.235 457.791 Td [(is)]TJ +/F8 9.9626 Tf 184.235 371.965 Td [(is)]TJ ET q -1 0 0 1 191.53 457.991 cm +1 0 0 1 191.53 372.165 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 194.518 457.791 Td [(o)28(wned)]TJ +/F8 9.9626 Tf 194.518 371.965 Td [(o)28(wned)]TJ 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(78)]TJ + [-1084(80)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -28.869 -13.07 Td [(psb)]TJ + -28.869 -12.079 Td [(psb)]TJ ET q -1 0 0 1 181.246 444.92 cm +1 0 0 1 181.246 360.085 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 184.235 444.721 Td [(o)28(wned)]TJ +/F8 9.9626 Tf 184.235 359.886 Td [(o)28(wned)]TJ ET q -1 0 0 1 212.23 444.92 cm +1 0 0 1 212.23 360.085 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 215.219 444.721 Td [(index)]TJ +/F8 9.9626 Tf 215.219 359.886 Td [(index)]TJ 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(79)]TJ + [-1083(81)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -49.57 -13.07 Td [(psb)]TJ + -49.57 -12.08 Td [(psb)]TJ ET q -1 0 0 1 181.246 431.85 cm +1 0 0 1 181.246 348.005 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 184.235 431.651 Td [(is)]TJ +/F8 9.9626 Tf 184.235 347.806 Td [(is)]TJ ET q -1 0 0 1 191.53 431.85 cm +1 0 0 1 191.53 348.005 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 194.518 431.651 Td [(lo)-28(cal)]TJ +/F8 9.9626 Tf 194.518 347.806 Td [(lo)-28(cal)]TJ 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(80)]TJ + [-1084(82)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -28.869 -13.071 Td [(psb)]TJ + -28.869 -12.08 Td [(psb)]TJ ET q -1 0 0 1 181.246 418.78 cm +1 0 0 1 181.246 335.925 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 184.235 418.58 Td [(lo)-28(cal)]TJ +/F8 9.9626 Tf 184.235 335.726 Td [(lo)-28(cal)]TJ ET q -1 0 0 1 205.035 418.78 cm +1 0 0 1 205.035 335.925 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 208.023 418.58 Td [(index)]TJ +/F8 9.9626 Tf 208.023 335.726 Td [(index)]TJ 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(81)]TJ + [-1084(83)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -42.374 -13.07 Td [(psb)]TJ + -42.374 -12.08 Td [(psb)]TJ ET q -1 0 0 1 181.246 405.709 cm +1 0 0 1 181.246 323.846 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 184.235 405.51 Td [(get)]TJ +/F8 9.9626 Tf 184.235 323.647 Td [(get)]TJ ET q -1 0 0 1 198.116 405.709 cm +1 0 0 1 198.116 323.846 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 201.105 405.51 Td [(b)-28(oundary)]TJ +/F8 9.9626 Tf 201.105 323.647 Td [(b)-28(oundary)]TJ 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(82)]TJ + [-1083(84)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -35.456 -13.07 Td [(psb)]TJ + -35.456 -12.08 Td [(psb)]TJ ET q -1 0 0 1 181.246 392.639 cm +1 0 0 1 181.246 311.766 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 184.235 392.44 Td [(get)]TJ +/F8 9.9626 Tf 184.235 311.567 Td [(get)]TJ ET q -1 0 0 1 198.116 392.639 cm +1 0 0 1 198.116 311.766 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 201.105 392.44 Td [(o)28(v)28(erlap)]TJ +/F8 9.9626 Tf 201.105 311.567 Td [(o)28(v)28(erlap)]TJ 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(.)-499(.)-500(.)-500(.)-500(.)-500(.)-500(.)-500(.)]TJ 0 g 0 G - [-1084(83)]TJ + [-1084(85)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -35.456 -13.071 Td [(psb)]TJ + -35.456 -12.08 Td [(psb)]TJ ET q -1 0 0 1 181.246 379.568 cm +1 0 0 1 181.246 299.686 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 184.235 379.369 Td [(sp)]TJ +/F8 9.9626 Tf 184.235 299.487 Td [(sp)]TJ ET q -1 0 0 1 194.297 379.568 cm +1 0 0 1 194.297 299.686 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 197.286 379.369 Td [(getro)28(w)]TJ +/F8 9.9626 Tf 197.286 299.487 Td [(getro)28(w)]TJ 0 g 0 G [-433(.)-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(86)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -31.637 -13.07 Td [(psb)]TJ + -31.637 -12.08 Td [(psb)]TJ ET q -1 0 0 1 181.246 366.498 cm +1 0 0 1 181.246 287.607 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 184.235 366.299 Td [(sizeof)]TJ +/F8 9.9626 Tf 184.235 287.407 Td [(sizeof)]TJ 0 g 0 G [-740(.)-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(86)]TJ + [-1084(88)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -13.071 Td [(Sorting)-333(utilities)]TJ + -18.586 -12.079 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(87)]TJ + [-1083(89)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG -/F27 9.9626 Tf -14.944 -23.776 Td [(7)-925(P)32(arallel)-384(en)32(vironmen)32(t)-383(routines)]TJ +/F27 9.9626 Tf -14.944 -22.126 Td [(7)-925(P)32(arallel)-384(en)32(vironmen)32(t)-383(routines)]TJ 0 g 0 G - [-16891(89)]TJ + [-16891(91)]TJ 0 0 1 rg 0 0 1 RG -/F8 9.9626 Tf 14.944 -13.071 Td [(psb)]TJ +/F8 9.9626 Tf 14.944 -12.079 Td [(psb)]TJ ET q -1 0 0 1 181.246 316.581 cm +1 0 0 1 181.246 241.322 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 184.235 316.381 Td [(init)]TJ +/F8 9.9626 Tf 184.235 241.123 Td [(init)]TJ 0 g 0 G [-829(.)-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(.)-500(.)-500(.)]TJ 0 g 0 G - [-1083(90)]TJ + [-1083(92)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -18.586 -13.07 Td [(psb)]TJ + -18.586 -12.08 Td [(psb)]TJ ET q -1 0 0 1 181.246 303.51 cm +1 0 0 1 181.246 229.242 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 184.235 303.311 Td [(info)]TJ +/F8 9.9626 Tf 184.235 229.043 Td [(info)]TJ 0 g 0 G 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181.246 205.083 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 184.235 277.17 Td [(get)]TJ +/F8 9.9626 Tf 184.235 204.884 Td [(get)]TJ ET q -1 0 0 1 198.116 277.37 cm +1 0 0 1 198.116 205.083 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 201.105 277.17 Td [(mpicomm)]TJ +/F8 9.9626 Tf 201.105 204.884 Td [(mpicomm)]TJ 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 - [-1083(93)]TJ + [-1083(95)]TJ 0 g 0 G 0 0 1 rg 0 0 1 RG - -35.456 -13.07 Td [(psb)]TJ + -35.456 -12.08 Td [(psb)]TJ ET q -1 0 0 1 181.246 264.299 cm +1 0 0 1 181.246 193.003 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 184.235 264.1 Td [(get)]TJ +/F8 9.9626 Tf 184.235 192.804 Td [(get)]TJ ET q -1 0 0 1 198.116 264.299 cm +1 0 0 1 198.116 193.003 cm []0 d 0 J 0.398 w 0 0 m 2.989 0 l S Q BT -/F8 9.9626 Tf 201.105 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+0000928605 00000 n +0000928729 00000 n +0000928852 00000 n +0000928984 00000 n +0000929092 00000 n +0000929210 00000 n +0000929324 00000 n +0000929404 00000 n +0000929444 00000 n +0000929681 00000 n trailer -<< /Size 1591 -/Root 1589 0 R -/Info 1590 0 R -/ID [<873D15B7399DBC9824362D3D17D2E286> <873D15B7399DBC9824362D3D17D2E286>] >> +<< /Size 1646 +/Root 1644 0 R +/Info 1645 0 R +/ID [ ] >> startxref -922100 +930323 %%EOF diff --git a/docs/src/biblio.tex b/docs/src/biblio.tex index 42497dbe..4f318833 100644 --- a/docs/src/biblio.tex +++ b/docs/src/biblio.tex @@ -124,6 +124,13 @@ 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. +% +\bibitem{DesignPatterns} +{ Gamma, E.}, { Helm, R.}, { Johnson, R.}, { and} { Vlissides, + J.} 1995. + {\em Design Patterns: Elements of Reusable Object-Oriented Software}. + Addison-Wesley. + % \bibitem{METIS} Karypis, G. and Kumar, V., diff --git a/docs/src/datastruct.tex b/docs/src/datastruct.tex index 6ebd74c8..62d273aa 100644 --- a/docs/src/datastruct.tex +++ b/docs/src/datastruct.tex @@ -1,4 +1,4 @@ -\section{Data Structures} +\section{Data Structures and Classes} \label{sec:datastruct} %\ifthenelse{\boolean{mtc}}{\minitoc}{} @@ -8,9 +8,11 @@ communication descriptors and preconditioners.%% These data structures %% are used for calling PSBLAS routines in Fortran~90 language and will %% be used to next chapters containing these callings. -All the data types and the basic subroutine interfaces are defined in +All the data types and the basic subroutine interfaces related to +descriptors and sparse matrices are defined in the module \verb|psb_base_mod|; this will have to be included by every -user subroutine that makes use of the library. +user subroutine that makes use of the library. The preconditioners are +defined in the module \verb|psb_prec_mod| Real and complex data types are parametrized with a kind type defined in the library as follows: @@ -21,11 +23,17 @@ in the library as follows: \item[psb\_dpk\_] Kind parameter for long precision real and complex data; corresponds to a \verb|DOUBLE PRECISION| declaration and is normally 8 bytes. +\item[psb\_long\_int\_k\_] Kind parameter for long integers, used by + the \verb|psb_sizeof| utility. \end{description} -Moreover, the library defines a long integer kind -\verb|psb_long_int_k_| which normally corresponds to 64-bit integers; -it is only used for the \verb|psb_sizeof| utility. - +Together with the classes attributes we also discuss their +methods. Most methods detailed here only act on the local variable, +i.e. their action is purely local and asynchronous unless otherwise +stated. +The list of methods here is not completely exhaustive; many methods, +especially those that alter the contents of the various objects, are +usually not needed by the end-user, and therefore are described in the +developer's documentation. \subsection{Descriptor data structure} @@ -161,316 +169,7 @@ state, which can take the following values: only possible in this state. \end{description} - -\subsubsection{Named Constants} -\label{sec:cd_constants} -\begin{description} -\item[psb\_none\_] Generic no-op; -\item[psb\_nohalo\_] Do not fetch halo elements; -\item[psb\_halo\_] Fetch halo elements from neighbouring processes; -\item[psb\_sum\_] Sum overlapped elements -\item[psb\_avg\_] Average overlapped elements -\item[psb\_comm\_halo\_] Exchange data based on the \verb|halo_index| - list; -\item[psb\_comm\_ext\_] Exchange data based on the \verb|ext_index| - list; -\item[psb\_comm\_ovr\_] Exchange data based on the \verb|ovrlap_index| - list; -\item[psb\_comm\_mov\_] Exchange data based on the \verb|ovr_mst_idx| - list; - -%% \item[psb\_square\_root\_] Update with the square root of the average -%% of overlapped elements; -%% \item[psb\_dec\_type\_] Entry holding decomposition type (in \verb|desc_a%matrix_data|) -%% \item[psb\_m\_] Entry holding total number of rows -%% \item[psb\_n\_] Entry holding total number of columns -%% \item[ psb\_n\_row\_] Entry holding the number of rows stored in the -%% current process -%% \item[psb\_n\_col\_] Entry holding the number of columns stored in the -%% current process -%% \item[psb\_ctxt\_] Entry holding a copy of the BLACS communication context -%% \item[psb\_desc\_asb\_] State of the descriptor: assembled, -%% i.e. suitable for computational tasks. -%% \item[psb\_desc\_bld\_] State of the descriptor: build, must be -%% assembled before computational use. -\end{description} - - -\subsection{Sparse Matrix data structure} -\label{sec:spmat} -The \hypertarget{spdata}{{\tt psb\_spmat\_type}} data structure -contains all information about the local portion of the sparse matrix and -its storage mode. Most of these fields are set by the tools -routines when inserting a new sparse matrix; the user needs only -choose, if he/she so whishes, a specific matrix storage mode. - -The -\begin{description} -\item[{\bf aspk}] Contains values of the local distributed sparse -matrix.\\ -Specified as: an allocatable array of rank one of type corresponding -to matrix entries type. -\item[{\bf ia1}] Holds integer information on distributed sparse -matrix. Actual information will depend on data format used.\\ -Specified as: an allocatable integer array of rank one. -\item[{\bf ia2}] Holds integer information on distributed sparse -matrix. Actual information will depend on data format used.\\ -Specified as: an allocatable integer array of rank one. -\item[{\bf infoa}] On entry can hold auxiliary information on distributed sparse -matrix. Actual information will depend on data format used.\\ -Specified as: an integer array of length \verb|psb_ifasize_|. -\item[{\bf fida}] Defines the format of the distributed sparse matrix.\\ -Specified as: a string of length 5 -\item[{\bf descra}] Describe the characteristic of the distributed sparse matrix.\\ -Specified as: array of character of length 9. -\item[{\bf pl}] Specifies the local row permutation of distributed sparse -matrix. If pl(1) is equal to 0, then there isn't row permutation.\\ -Specified as: an allocatable integer array of dimension equal to number of local row (matrix\_data[psb\_n\_row\_\hbox{]}) -\item[{\bf pr}] Specifies the local column permutation of distributed sparse -matrix. If PR(1) is equal to 0, then there isn't columnm permutation.\\ -Specified as: an allocatable integer array of dimension equal to number of -local row (matrix\_data[psb\_n\_col\_\hbox{]}) -\item[{\bf m}] Number of rows; if row indices are stored explicitly, -as in Coordinate Storage, should be greater than or equal to the -maximum row index actually present in the sparse matrix. -Specified as: integer variable. -\item[{\bf k}] Number of columns; if column indices are stored explicitly, -as in Coordinate Storage or Compressed Sparse Rows, should be greater -than or equal to the maximum column index actually present in the sparse matrix. -Specified as: integer variable. -\end{description} -The Fortran~95 interface for distributed sparse matrices containing -double precision real entries is defined as shown in -figure~\ref{fig:spmattype}. The definitions for single precision and -complex data are identical except for the \verb|real| declaration and -for the kind type parameter. -\begin{figure}[h!] - \begin{Sbox} - \begin{minipage}[tl]{0.85\textwidth} -\begin{verbatim} -type psb_sspmat_type - integer :: m, k - character :: fida(5) - character :: descra(10) - integer :: infoa(psb_ifa_size_) - real(psb_spk_), allocatable :: aspk(:) - integer, allocatable :: ia1(:), ia2(:) - integer, allocatable :: pr(:), pl(:) -end type psb_sspmat_type - -type psb_dspmat_type - integer :: m, k - character :: fida(5) - character :: descra(10) - integer :: infoa(psb_ifa_size_) - real(psb_dpk_), allocatable :: aspk(:) - integer, allocatable :: ia1(:), ia2(:) - integer, allocatable :: pr(:), pl(:) -end type psb_dspmat_type - -type psb_cspmat_type - integer :: m, k - character :: fida(5) - character :: descra(10) - integer :: infoa(psb_ifa_size_) - complex(psb_spk_), allocatable :: aspk(:) - integer, allocatable :: ia1(:), ia2(:) - integer, allocatable :: pr(:), pl(:) -end type psb_cspmat_type - -type psb_zspmat_type - integer :: m, k - character :: fida(5) - character :: descra(10) - integer :: infoa(psb_ifa_size_) - complex(psb_dpk_), allocatable :: aspk(:) - integer, allocatable :: ia1(:), ia2(:) - integer, allocatable :: pr(:), pl(:) -end type psb_zspmat_type - -\end{verbatim} - \end{minipage} - \end{Sbox} - \setlength{\fboxsep}{8pt} - \begin{center} - \fbox{\TheSbox} - \end{center} - \caption{\label{fig:spmattype} - The PSBLAS defined data type that - contains a sparse matrix.} -\end{figure} - -The following two cases are among the most commonly used: -\begin{description} -\item[fida=``CSR''] Compressed storage by rows. In this case the -following should hold: -\begin{enumerate} -\item \verb|ia2(i)| contains the index of the first element of row -\verb|i|; the last element of the sparse matrix is thus stored at -index $ia2(m+1)-1$. It should contain \verb|m+1| entries in -nondecreasing order (strictly increasing, if there are no empty rows). -\item \verb|ia1(j)| contains the column index and \verb|aspk(j)| -contains the corresponding coefficient value, for all $ia2(1) \le j -\le ia2(m+1)-1$. -\end{enumerate} -\item[fida=``COO''] Coordinate storage. In this case the following -should hold: -\begin{enumerate} -\item \verb|infoa(1)| contains the number of nonzero elements in the -matrix; -\item For all $1 \le j \le infoa(1)$, the coefficient, row index and -column index are stored into \verb|apsk(j)|, \verb|ia1(j)| and -\verb|ia2(j)| respectively. -\end{enumerate} -\end{description} -A sparse matrix has an associated state, which can take the following -values: -\begin{description} -\item[Build:] State entered after the first allocation, and before the - first assembly; in this state it is possible to add nonzero entries. -\item[Assembled:] State entered after the assembly; computations using - the sparse matrix, such as matrix-vector products, are only possible - in this state; -\item[Update:] State entered after a reinitalization; this is used to - handle applications in which the same sparsity pattern is used - multiple times with different coefficients. In this state it is only - possible to enter coefficients for already existing nonzero entries. -\end{description} -\subsubsection{Named Constants} -\label{sec:sp_constants} -\begin{description} -%% \item[psb\_nztotreq\_] Request to fetch the total number of nonzeroes -%% stored in a sparse matrix -%% \item[psb\_nzrowreq\_] Request to fetch the number of nonzeroes in a -%% given row in a sparse matrix -\item[psb\_dupl\_ovwrt\_] Duplicate coefficients should be overwritten - (i.e. ignore duplications) -\item[psb\_dupl\_add\_] Duplicate coefficients should be added; -\item[psb\_dupl\_err\_] Duplicate coefficients should trigger an error conditino -\item[psb\_upd\_dflt\_] Default update strategy for matrix coefficients; -\item[psb\_upd\_srch\_] Update strategy based on search into the data structure; -\item[psb\_upd\_perm\_] Update strategy based on additional - permutation data (see tools routine description). -\end{description} - -\subsection{Dense Vector Data Structure} -\label{sec:spmat} -The \hypertarget{vdata}{{\tt psb\_vect\_type}} data structure -contains all information about local portion of the sparse matrix and -its storage mode. Most of these fields are set by the tools -routines when inserting a new sparse matrix; the user needs only -choose, if he/she so whishes, a specific matrix storage mode. \\ - - - - -\subsection{Preconditioner data structure} -\label{sec:prec} -Our base library offers support for simple well known preconditioners -like Diagonal Scaling or Block Jacobi with incomplete -factorization ILU(0). - - A preconditioner is held in the \hypertarget{precdata}{{\tt - psb\_prec\_type}} data structure reported in -figure~\ref{fig:prectype}. The \verb|psb_prec_type| -data type may contain a simple preconditioning matrix with the -associated communication descriptor.%% which may be different than the -%% system communication descriptor in the case of parallel -%% preconditioners like the Additive Schwarz one. Then the -%% \verb|psb_prec_type| may contain more than one preconditioning matrix -%% like in the case of Two-Level (in general Multi-Level) preconditioners. -%% The user can choose the type of preconditioner to be used by means of -%% the \verb|psb_precset| subroutine; once the type of preconditioning -%% method is specified, along with all the parameters that characterize -%% it, the preconditioner data structure can be built using the -%% \verb|psb_precbld| subroutine. -%% This data structure wants to be flexible enough to easily allow the -%% implementation of new kind of preconditioners. -The values contained in -the \verb|iprcparm| and \verb|rprcparm| define tha type of -preconditioner along with all the parameters related to it; thus, -\verb|iprcparm| and \verb|rprcparm| define how the other records have -to be interpreted. This data structure is the basis of more complex -preconditioning strategies, which are the subject of further -research. -\begin{figure}[h!] - \small - \begin{Sbox} - \begin{minipage}[tl]{0.9\textwidth} -\begin{verbatim} - - type psb_sprec_type - type(psb_sspmat_type), allocatable :: av(:) - real(psb_spk_), allocatable :: d(:) - type(psb_desc_type) :: desc_data - integer, allocatable :: iprcparm(:) - real(psb_spk_), allocatable :: rprcparm(:) - integer, allocatable :: perm(:), invperm(:) - integer :: prec, base_prec - end type psb_sprec_type - - type psb_dprec_type - type(psb_dspmat_type), allocatable :: av(:) - real(psb_dpk_), allocatable :: d(:) - type(psb_desc_type) :: desc_data - integer, allocatable :: iprcparm(:) - real(psb_dpk_), allocatable :: rprcparm(:) - integer, allocatable :: perm(:), invperm(:) - integer :: prec, base_prec - end type psb_dprec_type - - type psb_cprec_type - type(psb_cspmat_type), allocatable :: av(:) - complex(psb_spk_), allocatable :: d(:) - type(psb_desc_type) :: desc_data - integer, allocatable :: iprcparm(:) - real(psb_spk_), allocatable :: rprcparm(:) - integer, allocatable :: perm(:), invperm(:) - integer :: prec, base_prec - end type psb_cprec_type - - type psb_zprec_type - type(psb_zspmat_type), allocatable :: av(:) - complex(psb_dpk_), allocatable :: d(:) - type(psb_desc_type) :: desc_data - integer, allocatable :: iprcparm(:) - real(psb_dpk_), allocatable :: rprcparm(:) - integer, allocatable :: perm(:), invperm(:) - integer :: prec, base_prec - end type psb_zprec_type - -\end{verbatim} - \end{minipage} - \end{Sbox} - \setlength{\fboxsep}{8pt} - \begin{center} - \fbox{\TheSbox} - \end{center} - \caption{\label{fig:prectype}The PSBLAS defined data type that contains a preconditioner.} -\end{figure} - -%% \subsection{Named Constants} -%% \label{sec:prec_constants} -%% \begin{description} -%% \item[f\_ilu\_n\_] Incomplete LU factorization with $n$ levels of -%% fill-in; currently only $n=0$ is implemented; -%% \item[f\_slu\_] Sparse factorization using SuperLU; -%% \item[f\_umf\_] Sparse factorization using UMFPACK; -%% \item[add\_ml\_prec\_] Additive multilevel correction; -%% \item[mult\_ml\_prec\_] Multiplicative multilevel correction; -%% \item[pre\_smooth\_] Pre-smoothing in applying multiplicative -%% multilevel corrections; -%% \item[post\_smooth\_] Post-smoothing in applying multiplicative -%% multilevel corrections; -%% \item[smooth\_both\_] Two-sided (i.e. symmetric) smoothing in applying multiplicative -%% multilevel corrections; -%% \item[mat\_distr\_] Coarse matrix distributed among processes -%% \item[mat\_repl\_] Coarse matrix replicated among processes -%% \end{description} - - -\subsection{Data structure query routines} -\label{sec:dataquery} +\subsubsection{Methods} \subsubsection*{get\_local\_rows --- Get number of local rows} \addcontentsline{toc}{subsubsection}{get\_local\_rows } @@ -483,9 +182,9 @@ nr = desc%get_local_rows() \item[\bf On Entry] \item[desc] the communication descriptor.\\ Scope: {\bf local}.\\ -Type: {\bf required}.\\ -Intent: {\bf in}.\\ -Specified as: a structured data of type \descdata. +% Type: {\bf required}.\\ +% Intent: {\bf in}.\\ +% Specified as: a structured data of type \descdata. \end{description} \begin{description} @@ -509,9 +208,9 @@ nc = desc%get_local_cols() \item[Type:] Asynchronous. \item[desc] the communication descriptor.\\ Scope: {\bf local}.\\ -Type: {\bf required}.\\ -Intent: {\bf in}.\\ -Specified as: a structured data of type \descdata. +% Type: {\bf required}.\\ +% Intent: {\bf in}.\\ +% Specified as: a structured data of type \descdata. \end{description} \begin{description} @@ -536,14 +235,15 @@ nr = desc%get_global_rows() \item[Type:] Asynchronous. \item[desc] the communication descriptor.\\ Scope: {\bf local}.\\ -Type: {\bf required}.\\ -Intent: {\bf in}.\\ -Specified as: a structured data of type \descdata. +% Type: {\bf required}.\\ +% Intent: {\bf in}.\\ +% Specified as: a structured data of type \descdata. \end{description} \begin{description} \item[\bf On Return] -\item[Function value] The number of global rows in the mesh +\item[Function value] The number of global rows, i.e. the size of the + global index space. \end{description} \subsubsection*{get\_global\_cols --- Get number of global cols} @@ -558,14 +258,15 @@ nr = desc%get_global_cols() \item[\bf On Entry] \item[desc] the communication descriptor.\\ Scope: {\bf local}.\\ -Type: {\bf required}.\\ -Intent: {\bf in}.\\ -Specified as: a structured data of type \descdata. +% Type: {\bf required}.\\ +% Intent: {\bf in}.\\ +% Specified as: a structured data of type \descdata. \end{description} \begin{description} \item[\bf On Return] -\item[Function value] The number of global cols in the mesh +\item[Function value] The number of global cols; usually this is equal + to the number of global rows. \end{description} @@ -579,9 +280,9 @@ ictxt = desc%get_context() \item[\bf On Entry] \item[desc] the communication descriptor.\\ Scope: {\bf local}.\\ -Type: {\bf required}.\\ -Intent: {\bf in}.\\ -Specified as: a structured data of type \descdata. +% Type: {\bf required}.\\ +% Intent: {\bf in}.\\ +% Specified as: a structured data of type \descdata. \end{description} \begin{description} @@ -614,7 +315,7 @@ call psb_cd_set_large_threshold(ith) \end{verbatim} \begin{description} -\item[Type:] Asynchronous. +\item[Type:] Synchronous. \item[\bf On Entry] \item[ith] the new threshold for communication descriptors.\\ Scope: {\bf global}.\\ @@ -624,26 +325,127 @@ Specified as: an integer value greater than zero. \end{description} Note: the threshold value is only queried by the library at the time a call to \verb|psb_cdall| is executed, therefore changing the threshold -has no effect on communication descriptors that have already been initialized. - -\subsubsection*{get\_nrows --- Get number of rows in a sparse matrix} -\addcontentsline{toc}{subsubsection}{get\_nrows} - -\begin{verbatim} -nr = a%get_nrows() -\end{verbatim} +has no effect on communication descriptors that have already been +initialized. Moreover the threshold must have the same value on all +processes. +\subsubsection{Named Constants} +\label{sec:cd_constants} \begin{description} -\item[Type:] Asynchronous. -\item[\bf On Entry] -\item[a] the sparse matrix\\ -Scope: {\bf local}\\ -Type: {\bf required}\\ -Intent: {\bf in}.\\ -Specified as: a structured data of type \spdata. +\item[psb\_none\_] Generic no-op; +\item[psb\_nohalo\_] Do not fetch halo elements; +\item[psb\_halo\_] Fetch halo elements from neighbouring processes; +\item[psb\_sum\_] Sum overlapped elements +\item[psb\_avg\_] Average overlapped elements +\item[psb\_comm\_halo\_] Exchange data based on the \verb|halo_index| + list; +\item[psb\_comm\_ext\_] Exchange data based on the \verb|ext_index| + list; +\item[psb\_comm\_ovr\_] Exchange data based on the \verb|ovrlap_index| + list; +\item[psb\_comm\_mov\_] Exchange data based on the \verb|ovr_mst_idx| + list; + +%% \item[psb\_square\_root\_] Update with the square root of the average +%% of overlapped elements; +%% \item[psb\_dec\_type\_] Entry holding decomposition type (in \verb|desc_a%matrix_data|) +%% \item[psb\_m\_] Entry holding total number of rows +%% \item[psb\_n\_] Entry holding total number of columns +%% \item[ psb\_n\_row\_] Entry holding the number of rows stored in the +%% current process +%% \item[psb\_n\_col\_] Entry holding the number of columns stored in the +%% current process +%% \item[psb\_ctxt\_] Entry holding a copy of the BLACS communication context +%% \item[psb\_desc\_asb\_] State of the descriptor: assembled, +%% i.e. suitable for computational tasks. +%% \item[psb\_desc\_bld\_] State of the descriptor: build, must be +%% assembled before computational use. \end{description} -\begin{description} + +\subsection{Sparse Matrix class} +\label{sec:spmat} +The \hypertarget{spdata}{{\tt psb\_spmat\_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~\cite{DesignPatterns} as detailed +in~\cite{Sparse03}; the type declaration is shown in +figure~\ref{fig:spmattype} where \verb|T| is a placeholder for the +data type and precision variants +\begin{description} +\item[S] Single precision real; +\item[D] Double precision real; +\item[C] Single precision complex; +\item[Z] Double precision complex. +\end{description} +The actual data is contained in the polymorphic component \verb|a%a|; its +specific layout can be chosen dynamically among the predefined types, +or an entirely new storage layout can be implemented and passed to the +library at runtime via the \verb|psb_spasb| routine. +\begin{figure}[h!] + \begin{Sbox} + \begin{minipage}[tl]{0.85\textwidth} +\begin{verbatim} + + type :: psb_Tspmat_type + + class(psb_T_base_sparse_mat), allocatable :: a + + end type psb_Tspmat_type + +\end{verbatim} + \end{minipage} + \end{Sbox} + \setlength{\fboxsep}{8pt} + \begin{center} + \fbox{\TheSbox} + \end{center} + \caption{\label{fig:spmattype} + The PSBLAS defined data type that + contains a sparse matrix.} +\end{figure} +The following very common formats are precompiled in PSBLAS and thus +are always available: +\begin{description} +\item[psb\_T\_coo\_sparse\_mat] Coordinate storage; +\item[psb\_T\_csr\_sparse\_mat] Compressed storage by rows; +\item[psb\_T\_csc\_sparse\_mat] Compressed storage by columns; +\end{description} +The inner sparse matrix has an associated state, which can take the +following values: +\begin{description} +\item[Build:] State entered after the first allocation, and before the + first assembly; in this state it is possible to add nonzero entries. +\item[Assembled:] State entered after the assembly; computations using + the sparse matrix, such as matrix-vector products, are only possible + in this state; +\item[Update:] State entered after a reinitalization; this is used to + handle applications in which the same sparsity pattern is used + multiple times with different coefficients. In this state it is only + possible to enter coefficients for already existing nonzero entries. +\end{description} +The only storage variant supporting the build state is COO; all other +variants are obtained by conversion to/from it. + +\subsubsection{Methods} +\subsubsection*{get\_nrows --- Get number of rows in a sparse matrix} +\addcontentsline{toc}{subsubsection}{get\_nrows} + +\begin{verbatim} +nr = a%get_nrows() +\end{verbatim} + +\begin{description} +\item[Type:] Asynchronous. +\item[\bf On Entry] +\item[a] the sparse matrix\\ +Scope: {\bf local}\\ +% Type: {\bf required}\\ +% Intent: {\bf in}.\\ +% Specified as: a structured data of type \spdata. +\end{description} + +\begin{description} \item[\bf On Return] \item[Function value] The number of rows of sparse matrix \verb|a|. \end{description} @@ -653,7 +455,7 @@ Specified as: a structured data of type \spdata. \addcontentsline{toc}{subsubsection}{get\_ncols} \begin{verbatim} -nr = a%get_ncols() +nc = a%get_ncols() \end{verbatim} \begin{description} @@ -661,9 +463,9 @@ nr = a%get_ncols() \item[\bf On Entry] \item[a] the sparse matrix\\ Scope: {\bf local}\\ -Type: {\bf required}\\ -Intent: {\bf in}.\\ -Specified as: a structured data of type \spdata. +% Type: {\bf required}\\ +% Intent: {\bf in}.\\ +% Specified as: a structured data of type \spdata. \end{description} \begin{description} @@ -677,7 +479,7 @@ Specified as: a structured data of type \spdata. \addcontentsline{toc}{subsubsection}{get\_nnzeros} \begin{verbatim} -nr = a%get_nnzeros() +nz = a%get_nnzeros() \end{verbatim} \begin{description} @@ -685,9 +487,9 @@ nr = a%get_nnzeros() \item[\bf On Entry] \item[a] the sparse matrix\\ Scope: {\bf local}\\ -Type: {\bf required}\\ -Intent: {\bf in}.\\ -Specified as: a structured data of type \spdata. +% Type: {\bf required}\\ +% Intent: {\bf in}.\\ +% Specified as: a structured data of type \spdata. \end{description} \begin{description} @@ -702,6 +504,353 @@ Specified as: a structured data of type \spdata. value for the same matrix may be different for different storage choices. \end{enumerate} +\subsubsection*{get\_size --- Get maximum number of nonzero elements + in a sparse matrix} +\addcontentsline{toc}{subsubsection}{get\_size} + +\begin{verbatim} +maxnz = a%get_size() +\end{verbatim} + +\begin{description} +\item[Type:] Asynchronous. +\item[\bf On Entry] +\item[a] the sparse matrix\\ +Scope: {\bf local}\\ +% Type: {\bf required}\\ +% Intent: {\bf in}.\\ +% Specified as: a structured data of type \spdata. +\end{description} + +\begin{description} +\item[\bf On Return] +\item[Function value] The maximum number of nonzero elements that can + be stored in sparse matrix \verb|a| using its current memory allocation. +\end{description} + +\subsubsection*{sizeof --- Get memory occupation in bytes +of a sparse matrix} +\addcontentsline{toc}{subsubsection}{sizeof} + +\begin{verbatim} +memory_size = a%sizeof() +\end{verbatim} + +\begin{description} +\item[Type:] Asynchronous. +\item[\bf On Entry] +\item[a] the sparse matrix\\ +Scope: {\bf local}\\ +% Type: {\bf required}\\ +% Intent: {\bf in}.\\ +% Specified as: a structured data of type \spdata. +\end{description} + +\begin{description} +\item[\bf On Return] +\item[Function value] The memory occupation in bytes. +\end{description} + + +\subsubsection*{get\_fmt --- Short description of the dynamic type} +\addcontentsline{toc}{subsubsection}{get\_fmt} + +\begin{verbatim} +write(*,*) a%get_fmt() +\end{verbatim} + +\begin{description} +\item[Type:] Asynchronous. +\item[\bf On Entry] +\item[a] the sparse matrix\\ +Scope: {\bf local}\\ +% Type: {\bf required}\\ +% Intent: {\bf in}.\\ +% Specified as: a structured data of type \spdata. +\end{description} + +\begin{description} +\item[\bf On Return] +\item[Function value] A short string describing the dynamic type of + the matrix. Predefined values include \verb|NULL|, \verb|COO|, + \verb|CSR| and \verb|CSC|. +\end{description} + +\subsubsection*{is\_bld, is\_upd, is\_asb --- Status check} +\addcontentsline{toc}{subsubsection}{is\_bld, is\_upd, is\_asb} + +\begin{verbatim} +if (a%is_bld()) then +if (a%is_upd()) then +if (a%is_asb()) then +\end{verbatim} + +\begin{description} +\item[Type:] Asynchronous. +\item[\bf On Entry] +\item[a] the sparse matrix\\ +Scope: {\bf local}\\ +% Type: {\bf required}\\ +% Intent: {\bf in}.\\ +% Specified as: a structured data of type \spdata. +\end{description} + +\begin{description} +\item[\bf On Return] +\item[Function value] A \verb|logical| value indicating whether the + matrix is in the Build, Update or Assembled state, respectively. +\end{description} + + +\subsubsection{Named Constants} +\label{sec:sp_constants} +\begin{description} +%% \item[psb\_nztotreq\_] Request to fetch the total number of nonzeroes +%% stored in a sparse matrix +%% \item[psb\_nzrowreq\_] Request to fetch the number of nonzeroes in a +%% given row in a sparse matrix +\item[psb\_dupl\_ovwrt\_] Duplicate coefficients should be overwritten + (i.e. ignore duplications) +\item[psb\_dupl\_add\_] Duplicate coefficients should be added; +\item[psb\_dupl\_err\_] Duplicate coefficients should trigger an error conditino +\item[psb\_upd\_dflt\_] Default update strategy for matrix coefficients; +\item[psb\_upd\_srch\_] Update strategy based on search into the data structure; +\item[psb\_upd\_perm\_] Update strategy based on additional + permutation data (see tools routine description). +\end{description} + + +\subsection{Dense Vector Data Structure} +\label{sec:spmat} +The \hypertarget{vdata}{{\tt psb\_vect\_type}} data structure +encapsulates the dense vectors in a way similar to sparse matrices. +The user will not, in general, access the vector components directly, +but rather via the routines of sec.~\ref{sec:toolsrout}. Among other +simple things, we define here an extraction method that can be used to +get a full copy of the part of the vector stored on the local +process. + + The type declaration is shown in +figure~\ref{fig:vectype} where \verb|T| is a placeholder for the +data type and precision variants +\begin{description} +\item[I] Integer; +\item[S] Single precision real; +\item[D] Double precision real; +\item[C] Single precision complex; +\item[Z] Double precision complex. +\end{description} +The actual data is contained in the polymorphic component \verb|a%a|; its +specific layout can be chosen dynamically among the predefined types, +or an entirely new storage layout can be implemented and passed to the +library at runtime via the \verb|psb_spasb| routine. +\begin{figure}[h!] + \begin{Sbox} + \begin{minipage}[tl]{0.85\textwidth} +\begin{verbatim} + type psb_T_base_vect_type + TYPE(KIND_), allocatable :: v(:) + end type psb_T_base_vect_type + + type psb_T_vect_type + class(psb_T_base_vect_type), allocatable :: v + end type psb_T_vect_type + +\end{verbatim} + \end{minipage} + \end{Sbox} + \setlength{\fboxsep}{8pt} + \begin{center} + \fbox{\TheSbox} + \end{center} + \caption{\label{fig:vectype} + The PSBLAS defined data type that + contains a dense vector..} +\end{figure} + +\subsubsection{Methods} +\subsubsection*{get\_nrows --- Get number of rows in a dense vector} +\addcontentsline{toc}{subsubsection}{v\_get\_nrows} + +\begin{verbatim} +nr = v%get_nrows() +\end{verbatim} + +\begin{description} +\item[Type:] Asynchronous. +\item[\bf On Entry] +\item[v] the dense vector\\ +Scope: {\bf local}\\ +% Type: {\bf required}\\ +% Intent: {\bf in}.\\ +% Specified as: a structured data of type \spdata. +\end{description} + +\begin{description} +\item[\bf On Return] +\item[Function value] The number of rows of sparse matrix \verb|a|. +\end{description} + + +\subsubsection*{get\_ncols --- Get number of columns in a sparse matrix} + +\subsubsection*{sizeof --- Get memory occupation in bytes +of a dense vector matrix} +\addcontentsline{toc}{subsubsection}{v\_sizeof} + +\begin{verbatim} +memory_size = v%sizeof() +\end{verbatim} + +\begin{description} +\item[Type:] Asynchronous. +\item[\bf On Entry] +\item[v] the dense vector\\ +Scope: {\bf local}\\ +% Type: {\bf required}\\ +% Intent: {\bf in}.\\ +% Specified as: a structured data of type \spdata. +\end{description} + +\begin{description} +\item[\bf On Return] +\item[Function value] The memory occupation in bytes. +\end{description} + + +\subsubsection*{get\_vect --- Get a copy of the vector contents} +\addcontentsline{toc}{subsubsection}{v\_get\_vect} + +\begin{verbatim} +extv = v%get_vect() +\end{verbatim} + +\begin{description} +\item[Type:] Asynchronous. +\item[\bf On Entry] +\item[v] the dense vector\\ +Scope: {\bf local}\\ +% Type: {\bf required}\\ +% Intent: {\bf in}.\\ +% Specified as: a structured data of type \spdata. +\end{description} + +\begin{description} +\item[\bf On Return] +\item[Function value] An allocatable array holding a copy of the dense + vector contents. +\end{description} + + +\subsection{Preconditioner data structure} +\label{sec:prec} +Our base library offers support for simple well known preconditioners +like Diagonal Scaling or Block Jacobi with incomplete +factorization ILU(0). + + A preconditioner is held in the \hypertarget{precdata}{{\tt + psb\_prec\_type}} data structure reported in +figure~\ref{fig:prectype}. The \verb|psb_prec_type| +data type may contain a simple preconditioning matrix with the +associated communication descriptor.%% which may be different than the +%% system communication descriptor in the case of parallel +%% preconditioners like the Additive Schwarz one. Then the +%% \verb|psb_prec_type| may contain more than one preconditioning matrix +%% like in the case of Two-Level (in general Multi-Level) preconditioners. +%% The user can choose the type of preconditioner to be used by means of +%% the \verb|psb_precset| subroutine; once the type of preconditioning +%% method is specified, along with all the parameters that characterize +%% it, the preconditioner data structure can be built using the +%% \verb|psb_precbld| subroutine. +%% This data structure wants to be flexible enough to easily allow the +%% implementation of new kind of preconditioners. +The values contained in +the \verb|iprcparm| and \verb|rprcparm| define tha type of +preconditioner along with all the parameters related to it; thus, +\verb|iprcparm| and \verb|rprcparm| define how the other records have +to be interpreted. This data structure is the basis of more complex +preconditioning strategies, which are the subject of further +research. +\begin{figure}[h!] + \small + \begin{Sbox} + \begin{minipage}[tl]{0.9\textwidth} +\begin{verbatim} + + type psb_sprec_type + type(psb_sspmat_type), allocatable :: av(:) + real(psb_spk_), allocatable :: d(:) + type(psb_desc_type) :: desc_data + integer, allocatable :: iprcparm(:) + real(psb_spk_), allocatable :: rprcparm(:) + integer, allocatable :: perm(:), invperm(:) + integer :: prec, base_prec + end type psb_sprec_type + + type psb_dprec_type + type(psb_dspmat_type), allocatable :: av(:) + real(psb_dpk_), allocatable :: d(:) + type(psb_desc_type) :: desc_data + integer, allocatable :: iprcparm(:) + real(psb_dpk_), allocatable :: rprcparm(:) + integer, allocatable :: perm(:), invperm(:) + integer :: prec, base_prec + end type psb_dprec_type + + type psb_cprec_type + type(psb_cspmat_type), allocatable :: av(:) + complex(psb_spk_), allocatable :: d(:) + type(psb_desc_type) :: desc_data + integer, allocatable :: iprcparm(:) + real(psb_spk_), allocatable :: rprcparm(:) + integer, allocatable :: perm(:), invperm(:) + integer :: prec, base_prec + end type psb_cprec_type + + type psb_zprec_type + type(psb_zspmat_type), allocatable :: av(:) + complex(psb_dpk_), allocatable :: d(:) + type(psb_desc_type) :: desc_data + integer, allocatable :: iprcparm(:) + real(psb_dpk_), allocatable :: rprcparm(:) + integer, allocatable :: perm(:), invperm(:) + integer :: prec, base_prec + end type psb_zprec_type + +\end{verbatim} + \end{minipage} + \end{Sbox} + \setlength{\fboxsep}{8pt} + \begin{center} + \fbox{\TheSbox} + \end{center} + \caption{\label{fig:prectype}The PSBLAS defined data type that contains a preconditioner.} +\end{figure} + +%% \subsection{Named Constants} +%% \label{sec:prec_constants} +%% \begin{description} +%% \item[f\_ilu\_n\_] Incomplete LU factorization with $n$ levels of +%% fill-in; currently only $n=0$ is implemented; +%% \item[f\_slu\_] Sparse factorization using SuperLU; +%% \item[f\_umf\_] Sparse factorization using UMFPACK; +%% \item[add\_ml\_prec\_] Additive multilevel correction; +%% \item[mult\_ml\_prec\_] Multiplicative multilevel correction; +%% \item[pre\_smooth\_] Pre-smoothing in applying multiplicative +%% multilevel corrections; +%% \item[post\_smooth\_] Post-smoothing in applying multiplicative +%% multilevel corrections; +%% \item[smooth\_both\_] Two-sided (i.e. symmetric) smoothing in applying multiplicative +%% multilevel corrections; +%% \item[mat\_distr\_] Coarse matrix distributed among processes +%% \item[mat\_repl\_] Coarse matrix replicated among processes +%% \end{description} + + +\subsection{Data structure Methods} +\label{sec:dataquery} + + %%% Local Variables: %%% mode: latex diff --git a/docs/src/intro.tex b/docs/src/intro.tex index 4c99429d..f5bad6e1 100644 --- a/docs/src/intro.tex +++ b/docs/src/intro.tex @@ -11,10 +11,10 @@ dense matrix operations. The current implementation of PSBLAS addresses a distributed memory execution model operating with message passing. -The PSBLAS library version 3 is internally implemented in +The PSBLAS library version 3 is implemented in the Fortran~2003~\cite{metcalf} programming language, with reuse and/or - adaptation of some existing Fortran~77 software, and a handful of C - routines. + adaptation of existing Fortran~77 and Fortran~95 software, plus a + handful of C routines. The use of Fortran~2003 offers a number of advantages over Fortran~95, mostly in the handling of requirements for evolution and adaptation of @@ -103,7 +103,8 @@ further details on our communication layer see Sec.~\ref{sec:parenv}. \ifcase\pdfoutput \includegraphics[scale=0.65]{figures/psblas.eps} \or -\rotatebox{-90}{\includegraphics[scale=0.65]{figures/psblas}} +%\rotatebox{-90}{\includegraphics[scale=0.65]{figures/psblas}} +{\includegraphics[scale=0.65]{figures/psblas}} \fi \end{center} \caption{PSBLAS library components hierarchy.\label{fig:psblas}} @@ -148,7 +149,7 @@ process generates its own portion. We never require that the entire matrix be available on a single node. However, it is possible to hold the entire matrix in one process and distribute it explicitly\footnote{In our prototype implementation we provide -sample scatter/gather routines.}, even though the resulting +sample scatter/gather routines.}, even though the resulting memory bottleneck would make this option unattractive in most cases. @@ -263,11 +264,11 @@ systems solution for block diagonal matrices; The following naming scheme has been adopted for all the symbols internally defined in the PSBLAS software package: \begin{itemize} -\item all the symbols (i.e. subroutine names, data types...) are +\item all symbols (i.e. subroutine names, data types...) are prefixed by \verb|psb_| -\item all the data type names are suffixed by \verb|_type| -\item all the constant values are suffixed by \verb|_| -\item all the subroutine names follow the rule \verb|psb_xxname| where +\item all data type names are suffixed by \verb|_type| +\item all constants are suffixed by \verb|_| +\item all top-level subroutine names follow the rule \verb|psb_xxname| where \verb|xx| can be either: \begin{itemize} \item \verb|ge|: the routine is related to dense data, @@ -280,7 +281,7 @@ internally defined in the PSBLAS software package: dense matrices, sparse matrices and communication descriptors respectively. Interface overloading allows the usage of the same subroutine - interfaces for both real and complex data. + names for both real and complex data. \end{itemize} In the description of the subroutines, arguments or argument entries are classified as: @@ -360,7 +361,7 @@ follows: \item Call the iterative method of choice, e.g. \verb|psb_bicgstab| \end{enumerate} This is the structure of the sample program -\verb|test/pargen/ppde90.f90|. +\verb|test/pargen/ppde.f90|. For a simulation in which the same discretization mesh is used over multiple time steps, the following structure may be more appropriate: diff --git a/test/fileread/df_sample.f90 b/test/fileread/df_sample.f90 index b0a69993..de33d123 100644 --- a/test/fileread/df_sample.f90 +++ b/test/fileread/df_sample.f90 @@ -141,7 +141,7 @@ program df_sample m_problem = aux_a%get_nrows() call psb_bcast(ictxt,m_problem) - call psb_mat_renum(psb_mat_renum_amd_,aux_a,info,perm) + call psb_mat_renum(psb_mat_renum_identity_,aux_a,info,perm) ! At this point aux_b may still be unallocated if (psb_size(aux_b,dim=1) == m_problem) then @@ -182,7 +182,7 @@ program df_sample ! switch over different partition types if (ipart == 0) then call psb_barrier(ictxt) - if (iam == psb_root_) write(psb_out_unit,'("Partition type: block")') + if (iam == psb_root_) write(psb_out_unit,'("Partition type: block vector")') allocate(ivg(m_problem),ipv(np)) do i=1,m_problem call part_block(i,m_problem,np,ipv,nv) @@ -193,7 +193,7 @@ program df_sample else if (ipart == 2) then if (iam == psb_root_) then - write(psb_out_unit,'("Partition type: graph")') + write(psb_out_unit,'("Partition type: graph vector")') write(psb_out_unit,'(" ")') ! write(psb_err_unit,'("Build type: graph")') call build_mtpart(aux_a,np) @@ -206,7 +206,7 @@ program df_sample & desc_a,b_col_glob,b_col,info,fmt=afmt,v=ivg) else - if (iam == psb_root_) write(psb_out_unit,'("Partition type: block")') + if (iam == psb_root_) write(psb_out_unit,'("Partition type: block subroutine")') call psb_matdist(aux_a, a, ictxt, & & desc_a,b_col_glob,b_col,info,fmt=afmt,parts=part_block) end if @@ -219,7 +219,8 @@ program df_sample call psb_geasb(r_col,desc_a,info) t2 = psb_wtime() - t1 - + write(fnout,'(a,i3.3,a)') 'amat-',iam,'.mtx' + call a%print(fname=fnout) call psb_amx(ictxt, t2) if (iam == psb_root_) then diff --git a/test/fileread/runs/dfs.inp b/test/fileread/runs/dfs.inp index c2521d76..bf3d1a1e 100644 --- a/test/fileread/runs/dfs.inp +++ b/test/fileread/runs/dfs.inp @@ -1,11 +1,11 @@ 11 Number of inputs -pde40.mtx This (and others) from: http://math.nist.gov/MatrixMarket/ or +pde40.mtx This (and others) from: http://math.nist.gov/MatrixMarket/ or NONE sherman3_b.mtx http://www.cise.ufl.edu/research/sparse/matrices/index.html MM File format: MM: Matrix Market HB: Harwell-Boeing. BICGSTAB Iterative method: BiCGSTAB CGS RGMRES BiCGSTABL BICG CG BJAC Preconditioner NONE DIAG BJAC CSR Storage format CSR COO JAD -0 IPART: Partition method 0: BLK 2: graph (with Metis) +3 IPART: Partition method 0: BLK 2: graph (with Metis) 2 ISTOPC 00800 ITMAX -1 ITRACE diff --git a/test/pargen/ppde.f90 b/test/pargen/ppde.f90 index 625c8b11..505074f1 100644 --- a/test/pargen/ppde.f90 +++ b/test/pargen/ppde.f90 @@ -148,7 +148,7 @@ program ppde !!$ call psb_cdcpy(desc_a,desc_b,info) !!$ call psb_set_debug_level(9999) -!!$ call psb_cdbldext(a,desc_a,2,desc_b,info,extype=psb_ovt_asov_) + call psb_cdbldext(a,desc_a,2,desc_b,info,extype=psb_ovt_asov_) if (info /= 0) then write(0,*) 'Error from bldext' call psb_abort(ictxt) @@ -573,7 +573,6 @@ contains element = element+1 endif - end do call psb_spins(element-1,irow,icol,val,a,desc_a,info) if(info /= psb_success_) exit diff --git a/test/pargen/spde.f90 b/test/pargen/spde.f90 index 416315c4..63963fa0 100644 --- a/test/pargen/spde.f90 +++ b/test/pargen/spde.f90 @@ -38,9 +38,9 @@ ! ! The PDE is a general second order equation in 3d ! -! b1 dd(u) b2 dd(u) b3 dd(u) a1 d(u) a2 d(u) a3 d(u) -! - ------ - ------ - ------ - ----- - ------ - ------ + a4 u = 0 -! dxdx dydy dzdz dx dy dz +! b1 dd(u) b2 dd(u) b3 dd(u) a1 d(u) a2 d(u) a3 d(u) +! - ------ - ------ - ------ + ----- + ------ + ------ + a4 u = 0 +! dxdx dydy dzdz dx dy dz ! ! with Dirichlet boundary conditions, on the unit cube 0<=x,y,z<=1. ! @@ -365,7 +365,7 @@ contains ! discretize the partial diferential equation ! ! b1 dd(u) b2 dd(u) b3 dd(u) a1 d(u) a2 d(u) a3 d(u) - ! - ------ - ------ - ------ - ----- - ------ - ------ + a4 u + ! - ------ - ------ - ------ + ----- + ------ + ------ + a4 u ! dxdx dydy dzdz dx dy dz ! ! with Dirichlet boundary conditions, on the unit cube 0<=x,y,z<=1. @@ -399,7 +399,7 @@ contains real(psb_spk_), allocatable :: val(:) ! deltah dimension of each grid cell ! deltat discretization time - real(psb_spk_) :: deltah, deltah2 + real(psb_spk_) :: deltah, sqdeltah, deltah2 real(psb_spk_),parameter :: rhs=0.0,one=1.0,zero=0.0 real(psb_dpk_) :: t0, t1, t2, t3, tasb, talc, ttot, tgen real(psb_spk_) :: a1, a2, a3, a4, b1, b2, b3 @@ -414,8 +414,9 @@ contains call psb_info(ictxt, iam, np) - deltah = 1.d0/(idim-1) - deltah2 = deltah*deltah + deltah = 1.0/(idim-1) + sqdeltah = deltah*deltah + deltah2 = 2.0* deltah ! initialize array descriptor and sparse matrix storage. provide an ! estimate of the number of non zeroes @@ -507,63 +508,66 @@ contains ! term depending on (x-1,y,z) ! if (ix == 1) then - val(element) = -b1(x,y,z)/deltah2-a1(x,y,z)/deltah + val(element) = -b1(x,y,z)/sqdeltah-a1(x,y,z)/deltah2 zt(k) = exp(-x**2-y**2-z**2)*(-val(element)) else - val(element) = -b1(x,y,z)/deltah2-a1(x,y,z)/deltah + val(element) = -b1(x,y,z)/sqdeltah-a1(x,y,z)/deltah2 icol(element) = (ix-2)*idim*idim+(iy-1)*idim+(iz) irow(element) = glob_row element = element+1 endif ! term depending on (x,y-1,z) if (iy == 1) then - val(element) = -b2(x,y,z)/deltah2-a2(x,y,z)/deltah + val(element) = -b2(x,y,z)/sqdeltah-a2(x,y,z)/deltah2 zt(k) = exp(-x**2-y**2-z**2)*exp(-x)*(-val(element)) else - val(element) = -b2(x,y,z)/deltah2-a2(x,y,z)/deltah + val(element) = -b2(x,y,z)/sqdeltah-a2(x,y,z)/deltah2 icol(element) = (ix-1)*idim*idim+(iy-2)*idim+(iz) irow(element) = glob_row element = element+1 endif ! term depending on (x,y,z-1) if (iz == 1) then - val(element)=-b3(x,y,z)/deltah2-a3(x,y,z)/deltah + val(element)=-b3(x,y,z)/sqdeltah-a3(x,y,z)/deltah2 zt(k) = exp(-x**2-y**2-z**2)*exp(-x)*(-val(element)) else - val(element)=-b3(x,y,z)/deltah2-a3(x,y,z)/deltah + val(element)=-b3(x,y,z)/sqdeltah-a3(x,y,z)/deltah2 icol(element) = (ix-1)*idim*idim+(iy-1)*idim+(iz-1) irow(element) = glob_row element = element+1 endif ! term depending on (x,y,z) - val(element)=(2*b1(x,y,z) + 2*b2(x,y,z) + 2*b3(x,y,z))/deltah2& - & + (a1(x,y,z) + a2(x,y,z) + a3(x,y,z)+ a4(x,y,z))/deltah + val(element)=(2*b1(x,y,z) + 2*b2(x,y,z) + 2*b3(x,y,z))/sqdeltah& + & +a4(x,y,z) icol(element) = (ix-1)*idim*idim+(iy-1)*idim+(iz) irow(element) = glob_row element = element+1 ! term depending on (x,y,z+1) if (iz == idim) then - val(element)=-b1(x,y,z)/deltah2 + val(element)=-b3(x,y,z)/sqdeltah+a3(x,y,z)/deltah2 zt(k) = exp(-x**2-y**2-z**2)*exp(-x)*(-val(element)) else - val(element)=-b1(x,y,z)/deltah2 + val(element)=-b3(x,y,z)/sqdeltah+a3(x,y,z)/deltah2 icol(element) = (ix-1)*idim*idim+(iy-1)*idim+(iz+1) irow(element) = glob_row element = element+1 endif ! term depending on (x,y+1,z) if (iy == idim) then - val(element)=-b2(x,y,z)/deltah2 + val(element)=-b2(x,y,z)/sqdeltah+a2(x,y,z)/deltah2 zt(k) = exp(-x**2-y**2-z**2)*exp(-x)*(-val(element)) else - val(element)=-b2(x,y,z)/deltah2 + val(element)=-b2(x,y,z)/sqdeltah+a2(x,y,z)/deltah2 icol(element) = (ix-1)*idim*idim+(iy)*idim+(iz) irow(element) = glob_row element = element+1 endif ! term depending on (x+1,y,z) - if (ix