From 16b8058ab6b56e72165aca545c10ca65817eb833 Mon Sep 17 00:00:00 2001 From: Salvatore Filippone Date: Thu, 18 Oct 2007 12:00:34 +0000 Subject: [PATCH] Defined heapsort and mergesort for real/complex data. Updated docs. --- Changelog | 2 +- base/modules/psb_sort_mod.f90 | 2531 +++++-- base/serial/aux/Makefile | 4 +- base/serial/aux/dmsort_dw.f90 | 172 + base/serial/aux/dmsort_up.f90 | 172 + base/serial/aux/dmsr.f90 | 91 + base/serial/aux/dmsrx.f90 | 101 + base/serial/aux/zamsort_dw.f90 | 173 + base/serial/aux/zamsort_up.f90 | 173 + base/serial/aux/zamsr.f90 | 91 + base/serial/aux/zamsrx.f90 | 101 + docs/pdf/toolsrout.tex | 80 +- docs/pdf/util.tex | 71 - docs/userguide.pdf | 10872 +++++++++++++++++-------------- krylov/psb_krylov_mod.f90 | 47 +- 15 files changed, 8853 insertions(+), 5828 deletions(-) create mode 100644 base/serial/aux/dmsort_dw.f90 create mode 100644 base/serial/aux/dmsort_up.f90 create mode 100644 base/serial/aux/dmsr.f90 create mode 100644 base/serial/aux/dmsrx.f90 create mode 100644 base/serial/aux/zamsort_dw.f90 create mode 100644 base/serial/aux/zamsort_up.f90 create mode 100644 base/serial/aux/zamsr.f90 create mode 100644 base/serial/aux/zamsrx.f90 diff --git a/Changelog b/Changelog index dda45b36..a3c84af9 100644 --- a/Changelog +++ b/Changelog @@ -2,7 +2,7 @@ Changelog. A lot less detailed than usual, at least for past history. 2007/10/15: Repackaged the sorting routines in a submodule of their - own, while adding some heap managing utilities for the + own, adding some heap management and heapsort utilities for the benefit of the multilevel preconditioners. 2007/09/28: Moved gelp and csrp to serial. Changed interface to diff --git a/base/modules/psb_sort_mod.f90 b/base/modules/psb_sort_mod.f90 index 98f7f710..de88a557 100644 --- a/base/modules/psb_sort_mod.f90 +++ b/base/modules/psb_sort_mod.f90 @@ -31,6 +31,10 @@ module psb_sort_mod + ! + ! The up/down constant are defined in pairs having + ! opposite values. We make use of this fact in the heapsort routine. + ! integer, parameter :: psb_sort_up_=1, psb_sort_down_=-1 integer, parameter :: psb_lsort_up_=2, psb_lsort_down_=-2 integer, parameter :: psb_asort_up_=3, psb_asort_down_=-3 @@ -59,7 +63,7 @@ module psb_sort_mod end type psb_dcomplex_idx_heap interface psb_msort - module procedure imsort + module procedure imsort, dmsort, zamsort end interface interface psb_msort_unique @@ -70,6 +74,10 @@ module psb_sort_mod module procedure iqsort, dqsort, zqsort end interface + interface psb_hsort + module procedure ihsort, dhsort, zhsort + end interface + interface psb_init_heap module procedure psb_init_int_heap, psb_init_int_idx_heap,& & psb_init_double_idx_heap, psb_init_dcomplex_idx_heap @@ -157,6 +165,126 @@ contains end if end subroutine imsort + + subroutine dmsort(x,ix,dir,flag) + use psb_error_mod + implicit none + real(kind(1.d0)), intent(inout) :: x(:) + integer, optional, intent(in) :: dir, flag + integer, optional, intent(inout) :: ix(:) + + integer :: dir_, flag_, n, err_act + + character(len=20) :: name + + name='psb_msort' + call psb_erractionsave(err_act) + + if (present(dir)) then + dir_ = dir + else + dir_= psb_sort_up_ + end if + select case(dir_) + case( psb_sort_up_, psb_sort_down_) + ! OK keep going + case default + call psb_errpush(30,name,i_err=(/3,dir_,0,0,0/)) + goto 9999 + end select + + n = size(x) + + if (present(ix)) then + if (size(ix) < n) then + call psb_errpush(35,name,i_err=(/2,size(ix),0,0,0/)) + goto 9999 + end if + if (present(flag)) then + flag_ = flag + else + flag_ = psb_sort_ovw_idx_ + end if + select case(flag_) + case( psb_sort_ovw_idx_, psb_sort_keep_idx_) + ! OK keep going + case default + call psb_errpush(30,name,i_err=(/4,flag_,0,0,0/)) + goto 9999 + end select + + call dmsrx(n,x,ix,dir_,flag_) + else + call dmsr(n,x,dir_) + end if + +9999 continue + if (err_act.eq.psb_act_abort_) then + call psb_error() + return + end if + end subroutine dmsort + + subroutine zamsort(x,ix,dir,flag) + use psb_error_mod + implicit none + complex(kind(1.d0)), intent(inout) :: x(:) + integer, optional, intent(in) :: dir, flag + integer, optional, intent(inout) :: ix(:) + + integer :: dir_, flag_, n, err_act + + character(len=20) :: name + + name='psb_msort' + call psb_erractionsave(err_act) + + if (present(dir)) then + dir_ = dir + else + dir_= psb_asort_up_ + end if + select case(dir_) + case( psb_asort_up_, psb_asort_down_) + ! OK keep going + case default + call psb_errpush(30,name,i_err=(/3,dir_,0,0,0/)) + goto 9999 + end select + + n = size(x) + + if (present(ix)) then + if (size(ix) < n) then + call psb_errpush(35,name,i_err=(/2,size(ix),0,0,0/)) + goto 9999 + end if + if (present(flag)) then + flag_ = flag + else + flag_ = psb_sort_ovw_idx_ + end if + select case(flag_) + case( psb_sort_ovw_idx_, psb_sort_keep_idx_) + ! OK keep going + case default + call psb_errpush(30,name,i_err=(/4,flag_,0,0,0/)) + goto 9999 + end select + + call zamsrx(n,x,ix,dir_,flag_) + else + call zamsr(n,x,dir_) + end if + +9999 continue + if (err_act.eq.psb_act_abort_) then + call psb_error() + return + end if + end subroutine zamsort + + subroutine imsort_u(x,nout,dir) use psb_error_mod implicit none @@ -439,203 +567,1165 @@ contains - function psb_howmany_int_heap(heap) - implicit none - type(psb_int_heap), intent(in) :: heap - integer :: psb_howmany_int_heap - psb_howmany_int_heap = heap%last - end function psb_howmany_int_heap - subroutine psb_init_int_heap(heap,info,dir) - use psb_realloc_mod + subroutine ihsort(x,ix,dir,flag) + use psb_error_mod implicit none - type(psb_int_heap), intent(inout) :: heap - integer, intent(out) :: info - integer, intent(in), optional :: dir + integer, intent(inout) :: x(:) + integer, optional, intent(in) :: dir, flag + integer, optional, intent(inout) :: ix(:) - info = 0 - heap%last=0 - if (present(dir)) then - heap%dir = dir - else - heap%dir = psb_sort_up_ - endif - select case(heap%dir) - case (psb_sort_up_,psb_sort_down_,psb_asort_up_,psb_asort_down_) - ! ok, do nothing - case default - write(0,*) 'Invalid direction, defaulting to psb_sort_up_' - heap%dir = psb_sort_up_ - end select + integer :: dir_, flag_, n, i, l, err_act,info + integer :: key + integer :: index - call psb_ensure_size(psb_heap_resize,heap%keys,info) - return - end subroutine psb_init_int_heap + character(len=20) :: name - subroutine psb_dump_int_heap(iout,heap,info) - implicit none - type(psb_int_heap), intent(in) :: heap - integer, intent(out) :: info - integer, intent(in) :: iout - - info = 0 - if (iout < 0) then - write(0,*) 'Invalid file ' - info =-1 - return + name='psb_hsort' + call psb_erractionsave(err_act) + + if (present(flag)) then + flag_ = flag + else + flag_ = psb_sort_ovw_idx_ end if + select case(flag_) + case( psb_sort_ovw_idx_, psb_sort_keep_idx_) + ! OK keep going + case default + call psb_errpush(30,name,i_err=(/4,flag_,0,0,0/)) + goto 9999 + end select - write(iout,*) 'Heap direction ',heap%dir - write(iout,*) 'Heap size ',heap%last - if ((heap%last > 0).and.((.not.allocated(heap%keys)).or.& - & (size(heap%keys) 0) then - write(iout,*) heap%keys(1:heap%last) - end if + dir_= psb_sort_up_ end if - end subroutine psb_dump_int_heap - - subroutine psb_insert_int_heap(key,heap,info) - use psb_realloc_mod - implicit none - - integer, intent(in) :: key - type(psb_int_heap), intent(inout) :: heap - integer, intent(out) :: info - integer :: i, i2 - integer :: temp - info = 0 - if (heap%last < 0) then - write(0,*) 'Invalid last in heap ',heap%last - info = heap%last - return - endif + + select case(dir_) + case(psb_sort_up_,psb_sort_down_,psb_asort_up_,psb_asort_down_) + ! OK + case default + call psb_errpush(30,name,i_err=(/3,dir_,0,0,0/)) + goto 9999 + end select - heap%last = heap%last + 1 - call psb_ensure_size(heap%last,heap%keys,info,addsz=psb_heap_resize) - if (info /= 0) then - write(0,*) 'Memory allocation failure in heap_insert' - info = -5 - return - end if + n = size(x) - i = heap%last - heap%keys(i) = key + ! + ! Dirty trick to sort with heaps: if we want + ! to sort in place upwards, first we set up a heap so that + ! we can easily get the LARGEST element, then we take it out + ! and put it in the last entry, and so on. + ! So, we invert dir_! + ! + dir_ = -dir_ - select case(heap%dir) - case (psb_sort_up_) - - do - if (i<=1) exit - i2 = i/2 - if (heap%keys(i) < heap%keys(i2)) then - temp = heap%keys(i) - heap%keys(i) = heap%keys(i2) - heap%keys(i2) = temp - i = i2 - else - exit + if (present(ix)) then + if (size(ix) < n) then + call psb_errpush(35,name,i_err=(/2,size(ix),0,0,0/)) + goto 9999 + end if + if (flag_==psb_sort_ovw_idx_) then + do i=1, n + ix(i) = i + end do + end if + l = 0 + do i=1, n + key = x(i) + index = ix(i) + call psi_insert_int_idx_heap(key,index,l,x,ix,dir_,info) + if (l /= i) then + write(0,*) 'Mismatch while heapifying ! ' end if end do - - - case (psb_sort_down_) - - do - if (i<=1) exit - i2 = i/2 - if (heap%keys(i) > heap%keys(i2)) then - temp = heap%keys(i) - heap%keys(i) = heap%keys(i2) - heap%keys(i2) = temp - i = i2 - else - exit + do i=n, 2, -1 + call psi_int_idx_heap_get_first(key,index,l,x,ix,dir_,info) + if (l /= i-1) then + write(0,*) 'Mismatch while pulling out of heap ',l,i end if + x(i) = key + ix(i) = index end do - - case (psb_asort_up_) - - do - if (i<=1) exit - i2 = i/2 - if (abs(heap%keys(i)) < abs(heap%keys(i2))) then - temp = heap%keys(i) - heap%keys(i) = heap%keys(i2) - heap%keys(i2) = temp - i = i2 - else - exit + else if (.not.present(ix)) then + l = 0 + do i=1, n + key = x(i) + call psi_insert_int_heap(key,l,x,dir_,info) + if (l /= i) then + write(0,*) 'Mismatch while heapifying ! ',l,i end if end do - - - case (psb_asort_down_) - - do - if (i<=1) exit - i2 = i/2 - if (abs(heap%keys(i)) > abs(heap%keys(i2))) then - temp = heap%keys(i) - heap%keys(i) = heap%keys(i2) - heap%keys(i2) = temp - i = i2 - else - exit + do i=n, 2, -1 + call psi_int_heap_get_first(key,l,x,dir_,info) + if (l /= i-1) then + write(0,*) 'Mismatch while pulling out of heap ',l,i end if - end do - - - case default - write(0,*) 'Invalid direction in heap ',heap%dir - end select + x(i) = key + end do + end if + - return +9999 continue + if (err_act.eq.psb_act_abort_) then + call psb_error() + return + end if + end subroutine ihsort + + + subroutine dhsort(x,ix,dir,flag) + use psb_error_mod + implicit none + real(kind(1.d0)), intent(inout) :: x(:) + integer, optional, intent(in) :: dir, flag + integer, optional, intent(inout) :: ix(:) + + integer :: dir_, flag_, n, i, l, err_act,info + real(kind(1.d0)) :: key + integer :: index + + character(len=20) :: name + + name='psb_hsort' + call psb_erractionsave(err_act) + + if (present(flag)) then + flag_ = flag + else + flag_ = psb_sort_ovw_idx_ + end if + select case(flag_) + case( psb_sort_ovw_idx_, psb_sort_keep_idx_) + ! OK keep going + case default + call psb_errpush(30,name,i_err=(/4,flag_,0,0,0/)) + goto 9999 + end select + + if (present(dir)) then + dir_ = dir + else + dir_= psb_sort_up_ + end if + + select case(dir_) + case(psb_sort_up_,psb_sort_down_,psb_asort_up_,psb_asort_down_) + ! OK + case default + call psb_errpush(30,name,i_err=(/3,dir_,0,0,0/)) + goto 9999 + end select + + n = size(x) + + ! + ! Dirty trick to sort with heaps: if we want + ! to sort in place upwards, first we set up a heap so that + ! we can easily get the LARGEST element, then we take it out + ! and put it in the last entry, and so on. + ! So, we invert dir_! + ! + dir_ = -dir_ + + if (present(ix)) then + if (size(ix) < n) then + call psb_errpush(35,name,i_err=(/2,size(ix),0,0,0/)) + goto 9999 + end if + if (flag_==psb_sort_ovw_idx_) then + do i=1, n + ix(i) = i + end do + end if + l = 0 + do i=1, n + key = x(i) + index = ix(i) + call psi_insert_double_idx_heap(key,index,l,x,ix,dir_,info) + if (l /= i) then + write(0,*) 'Mismatch while heapifying ! ' + end if + end do + do i=n, 2, -1 + call psi_double_idx_heap_get_first(key,index,l,x,ix,dir_,info) + if (l /= i-1) then + write(0,*) 'Mismatch while pulling out of heap ',l,i + end if + x(i) = key + ix(i) = index + end do + else if (.not.present(ix)) then + l = 0 + do i=1, n + key = x(i) + call psi_insert_double_heap(key,l,x,dir_,info) + if (l /= i) then + write(0,*) 'Mismatch while heapifying ! ',l,i + end if + end do + do i=n, 2, -1 + call psi_double_heap_get_first(key,l,x,dir_,info) + if (l /= i-1) then + write(0,*) 'Mismatch while pulling out of heap ',l,i + end if + x(i) = key + end do + end if + + +9999 continue + if (err_act.eq.psb_act_abort_) then + call psb_error() + return + end if + end subroutine dhsort + + + subroutine zhsort(x,ix,dir,flag) + use psb_error_mod + implicit none + complex(kind(1.d0)), intent(inout) :: x(:) + integer, optional, intent(in) :: dir, flag + integer, optional, intent(inout) :: ix(:) + + integer :: dir_, flag_, n, i, l, err_act,info + complex(kind(1.d0)) :: key + integer :: index + + character(len=20) :: name + + name='psb_hsort' + call psb_erractionsave(err_act) + + if (present(flag)) then + flag_ = flag + else + flag_ = psb_sort_ovw_idx_ + end if + select case(flag_) + case( psb_sort_ovw_idx_, psb_sort_keep_idx_) + ! OK keep going + case default + call psb_errpush(30,name,i_err=(/4,flag_,0,0,0/)) + goto 9999 + end select + + if (present(dir)) then + dir_ = dir + else + dir_= psb_asort_up_ + end if + + select case(dir_) + case(psb_asort_up_,psb_asort_down_) + ! OK + case default + call psb_errpush(30,name,i_err=(/3,dir_,0,0,0/)) + goto 9999 + end select + + n = size(x) + + ! + ! Dirty trick to sort with heaps: if we want + ! to sort in place upwards, first we set up a heap so that + ! we can easily get the LARGEST element, then we take it out + ! and put it in the last entry, and so on. + ! So, we invert dir_! + ! + dir_ = -dir_ + + if (present(ix)) then + if (size(ix) < n) then + call psb_errpush(35,name,i_err=(/2,size(ix),0,0,0/)) + goto 9999 + end if + if (flag_==psb_sort_ovw_idx_) then + do i=1, n + ix(i) = i + end do + end if + l = 0 + do i=1, n + key = x(i) + index = ix(i) + call psi_insert_dcomplex_idx_heap(key,index,l,x,ix,dir_,info) + if (l /= i) then + write(0,*) 'Mismatch while heapifying ! ' + end if + end do + do i=n, 2, -1 + call psi_dcomplex_idx_heap_get_first(key,index,l,x,ix,dir_,info) + if (l /= i-1) then + write(0,*) 'Mismatch while pulling out of heap ',l,i + end if + x(i) = key + ix(i) = index + end do + else if (.not.present(ix)) then + l = 0 + do i=1, n + key = x(i) + call psi_insert_dcomplex_heap(key,l,x,dir_,info) + if (l /= i) then + write(0,*) 'Mismatch while heapifying ! ',l,i + end if + end do + do i=n, 2, -1 + call psi_dcomplex_heap_get_first(key,l,x,dir_,info) + if (l /= i-1) then + write(0,*) 'Mismatch while pulling out of heap ',l,i + end if + x(i) = key + end do + end if + + +9999 continue + if (err_act.eq.psb_act_abort_) then + call psb_error() + return + end if + end subroutine zhsort + + + + function psb_howmany_int_heap(heap) + implicit none + type(psb_int_heap), intent(in) :: heap + integer :: psb_howmany_int_heap + psb_howmany_int_heap = heap%last + end function psb_howmany_int_heap + + subroutine psb_init_int_heap(heap,info,dir) + use psb_realloc_mod + implicit none + type(psb_int_heap), intent(inout) :: heap + integer, intent(out) :: info + integer, intent(in), optional :: dir + + info = 0 + heap%last=0 + if (present(dir)) then + heap%dir = dir + else + heap%dir = psb_sort_up_ + endif + select case(heap%dir) + case (psb_sort_up_,psb_sort_down_,psb_asort_up_,psb_asort_down_) + ! ok, do nothing + case default + write(0,*) 'Invalid direction, defaulting to psb_sort_up_' + heap%dir = psb_sort_up_ + end select + + call psb_ensure_size(psb_heap_resize,heap%keys,info) + return + end subroutine psb_init_int_heap + + subroutine psb_dump_int_heap(iout,heap,info) + implicit none + type(psb_int_heap), intent(in) :: heap + integer, intent(out) :: info + integer, intent(in) :: iout + + info = 0 + if (iout < 0) then + write(0,*) 'Invalid file ' + info =-1 + return + end if + + write(iout,*) 'Heap direction ',heap%dir + write(iout,*) 'Heap size ',heap%last + if ((heap%last > 0).and.((.not.allocated(heap%keys)).or.& + & (size(heap%keys) 0) then + write(iout,*) heap%keys(1:heap%last) + end if + end if + end subroutine psb_dump_int_heap + + subroutine psb_insert_int_heap(key,heap,info) + use psb_realloc_mod + implicit none + + integer, intent(in) :: key + type(psb_int_heap), intent(inout) :: heap + integer, intent(out) :: info + integer :: i, i2 + integer :: temp + info = 0 + if (heap%last < 0) then + write(0,*) 'Invalid last in heap ',heap%last + info = heap%last + return + endif + + heap%last = heap%last + call psb_ensure_size(heap%last+1,heap%keys,info,addsz=psb_heap_resize) + if (info /= 0) then + write(0,*) 'Memory allocation failure in heap_insert' + info = -5 + return + end if + call psi_insert_int_heap(key,heap%last,heap%keys,heap%dir,info) + + return end subroutine psb_insert_int_heap - subroutine psb_int_heap_get_first(key,heap,info) + subroutine psb_int_heap_get_first(key,heap,info) + implicit none + + type(psb_int_heap), intent(inout) :: heap + integer, intent(out) :: key,info + + integer :: i, i2, last,j + integer :: temp + + + info = 0 + + call psi_int_heap_get_first(key,heap%last,heap%keys,heap%dir,info) + + return + end subroutine psb_int_heap_get_first + + + + function psb_howmany_double_idx_heap(heap) + implicit none + type(psb_double_idx_heap), intent(in) :: heap + integer :: psb_howmany_double_idx_heap + psb_howmany_double_idx_heap = heap%last + end function psb_howmany_double_idx_heap + + subroutine psb_init_double_idx_heap(heap,info,dir) + use psb_realloc_mod + implicit none + type(psb_double_idx_heap), intent(inout) :: heap + integer, intent(out) :: info + integer, intent(in), optional :: dir + + info = 0 + heap%last=0 + if (present(dir)) then + heap%dir = dir + else + heap%dir = psb_sort_up_ + endif + select case(heap%dir) + case (psb_sort_up_,psb_sort_down_,psb_asort_up_,psb_asort_down_) + ! ok, do nothing + case default + write(0,*) 'Invalid direction, defaulting to psb_sort_up_' + heap%dir = psb_sort_up_ + end select + + call psb_ensure_size(psb_heap_resize,heap%keys,info) + call psb_ensure_size(psb_heap_resize,heap%idxs,info) + return + end subroutine psb_init_double_idx_heap + + subroutine psb_dump_double_idx_heap(iout,heap,info) + implicit none + type(psb_double_idx_heap), intent(in) :: heap + integer, intent(out) :: info + integer, intent(in) :: iout + + info = 0 + if (iout < 0) then + write(0,*) 'Invalid file ' + info =-1 + return + end if + + write(iout,*) 'Heap direction ',heap%dir + write(iout,*) 'Heap size ',heap%last + if ((heap%last > 0).and.((.not.allocated(heap%keys)).or.& + & (size(heap%keys) 0).and.((.not.allocated(heap%idxs)).or.& + & (size(heap%idxs) 0) then + write(iout,*) heap%keys(1:heap%last) + write(iout,*) heap%idxs(1:heap%last) + end if + end if + end subroutine psb_dump_double_idx_heap + + subroutine psb_insert_double_idx_heap(key,index,heap,info) + use psb_realloc_mod + implicit none + + real(kind(1.d0)), intent(in) :: key + integer, intent(in) :: index + type(psb_double_idx_heap), intent(inout) :: heap + integer, intent(out) :: info + integer :: i, i2, itemp + real(kind(1.d0)) :: temp + info = 0 + if (heap%last < 0) then + write(0,*) 'Invalid last in heap ',heap%last + info = heap%last + return + endif + + call psb_ensure_size(heap%last+1,heap%keys,info,addsz=psb_heap_resize) + if (info == 0) & + & call psb_ensure_size(heap%last+1,heap%idxs,info,addsz=psb_heap_resize) + if (info /= 0) then + write(0,*) 'Memory allocation failure in heap_insert' + info = -5 + return + end if + + call psi_insert_double_idx_heap(key,index,& + & heap%last,heap%keys,heap%idxs,heap%dir,info) + + return + end subroutine psb_insert_double_idx_heap + + subroutine psb_double_idx_heap_get_first(key,index,heap,info) + implicit none + + type(psb_double_idx_heap), intent(inout) :: heap + integer, intent(out) :: index,info + real(kind(1.d0)), intent(out) :: key + + integer :: i, i2, last,j,itemp + real(kind(1.d0)) :: temp + + + info = 0 + + call psi_double_idx_heap_get_first(key,index,& + & heap%last,heap%keys,heap%idxs,heap%dir,info) + + return + end subroutine psb_double_idx_heap_get_first + + function psb_howmany_int_idx_heap(heap) + implicit none + type(psb_int_idx_heap), intent(in) :: heap + integer :: psb_howmany_int_idx_heap + psb_howmany_int_idx_heap = heap%last + end function psb_howmany_int_idx_heap + + subroutine psb_init_int_idx_heap(heap,info,dir) + use psb_realloc_mod + implicit none + type(psb_int_idx_heap), intent(inout) :: heap + integer, intent(out) :: info + integer, intent(in), optional :: dir + + info = 0 + heap%last=0 + if (present(dir)) then + heap%dir = dir + else + heap%dir = psb_sort_up_ + endif + select case(heap%dir) + case (psb_sort_up_,psb_sort_down_,psb_asort_up_,psb_asort_down_) + ! ok, do nothing + case default + write(0,*) 'Invalid direction, defaulting to psb_sort_up_' + heap%dir = psb_sort_up_ + end select + + call psb_ensure_size(psb_heap_resize,heap%keys,info) + call psb_ensure_size(psb_heap_resize,heap%idxs,info) + return + end subroutine psb_init_int_idx_heap + + subroutine psb_dump_int_idx_heap(iout,heap,info) + implicit none + type(psb_int_idx_heap), intent(in) :: heap + integer, intent(out) :: info + integer, intent(in) :: iout + + info = 0 + if (iout < 0) then + write(0,*) 'Invalid file ' + info =-1 + return + end if + + write(iout,*) 'Heap direction ',heap%dir + write(iout,*) 'Heap size ',heap%last + if ((heap%last > 0).and.((.not.allocated(heap%keys)).or.& + & (size(heap%keys) 0).and.((.not.allocated(heap%idxs)).or.& + & (size(heap%idxs) 0) then + write(iout,*) heap%keys(1:heap%last) + write(iout,*) heap%idxs(1:heap%last) + end if + end if + end subroutine psb_dump_int_idx_heap + + subroutine psb_insert_int_idx_heap(key,index,heap,info) + use psb_realloc_mod + implicit none + + integer, intent(in) :: key + integer, intent(in) :: index + type(psb_int_idx_heap), intent(inout) :: heap + integer, intent(out) :: info + integer :: i, i2, itemp + integer :: temp + info = 0 + if (heap%last < 0) then + write(0,*) 'Invalid last in heap ',heap%last + info = heap%last + return + endif + + call psb_ensure_size(heap%last+1,heap%keys,info,addsz=psb_heap_resize) + if (info == 0) & + & call psb_ensure_size(heap%last+1,heap%idxs,info,addsz=psb_heap_resize) + if (info /= 0) then + write(0,*) 'Memory allocation failure in heap_insert' + info = -5 + return + end if + + call psi_insert_int_idx_heap(key,index,& + & heap%last,heap%keys,heap%idxs,heap%dir,info) + + return + end subroutine psb_insert_int_idx_heap + + subroutine psb_int_idx_heap_get_first(key,index,heap,info) + implicit none + + type(psb_int_idx_heap), intent(inout) :: heap + integer, intent(out) :: index,info + integer, intent(out) :: key + + integer :: i, i2, last,j,itemp + integer :: temp + + + info = 0 + + call psi_int_idx_heap_get_first(key,index,& + & heap%last,heap%keys,heap%idxs,heap%dir,info) + + return + end subroutine psb_int_idx_heap_get_first + + + + function psb_howmany_dcomplex_idx_heap(heap) + implicit none + type(psb_dcomplex_idx_heap), intent(in) :: heap + integer :: psb_howmany_dcomplex_idx_heap + psb_howmany_dcomplex_idx_heap = heap%last + end function psb_howmany_dcomplex_idx_heap + + subroutine psb_init_dcomplex_idx_heap(heap,info,dir) + use psb_realloc_mod + implicit none + type(psb_dcomplex_idx_heap), intent(inout) :: heap + integer, intent(out) :: info + integer, intent(in), optional :: dir + + info = 0 + heap%last=0 + if (present(dir)) then + heap%dir = dir + else + heap%dir = psb_sort_up_ + endif + select case(heap%dir) +!!$ case (psb_sort_up_,psb_sort_down_,psb_asort_up_,psb_asort_down_) + case (psb_asort_up_,psb_asort_down_) + ! ok, do nothing + case default + write(0,*) 'Invalid direction, defaulting to psb_sort_up_' + heap%dir = psb_asort_up_ + end select + + call psb_ensure_size(psb_heap_resize,heap%keys,info) + call psb_ensure_size(psb_heap_resize,heap%idxs,info) + return + end subroutine psb_init_dcomplex_idx_heap + + subroutine psb_dump_dcomplex_idx_heap(iout,heap,info) + implicit none + type(psb_dcomplex_idx_heap), intent(in) :: heap + integer, intent(out) :: info + integer, intent(in) :: iout + + info = 0 + if (iout < 0) then + write(0,*) 'Invalid file ' + info =-1 + return + end if + + write(iout,*) 'Heap direction ',heap%dir + write(iout,*) 'Heap size ',heap%last + if ((heap%last > 0).and.((.not.allocated(heap%keys)).or.& + & (size(heap%keys) 0).and.((.not.allocated(heap%idxs)).or.& + & (size(heap%idxs) 0) then + write(iout,*) heap%keys(1:heap%last) + write(iout,*) heap%idxs(1:heap%last) + end if + end if + end subroutine psb_dump_dcomplex_idx_heap + + subroutine psb_insert_dcomplex_idx_heap(key,index,heap,info) + use psb_realloc_mod + implicit none + + complex(kind(1.d0)), intent(in) :: key + integer, intent(in) :: index + type(psb_dcomplex_idx_heap), intent(inout) :: heap + integer, intent(out) :: info + integer :: i, i2, itemp + complex(kind(1.d0)) :: temp + info = 0 + if (heap%last < 0) then + write(0,*) 'Invalid last in heap ',heap%last + info = heap%last + return + endif + + call psb_ensure_size(heap%last+1,heap%keys,info,addsz=psb_heap_resize) + if (info == 0) & + & call psb_ensure_size(heap%last+1,heap%idxs,info,addsz=psb_heap_resize) + if (info /= 0) then + write(0,*) 'Memory allocation failure in heap_insert' + info = -5 + return + end if + call psi_insert_dcomplex_idx_heap(key,index,& + & heap%last,heap%keys,heap%idxs,heap%dir,info) + + return + end subroutine psb_insert_dcomplex_idx_heap + + subroutine psb_dcomplex_idx_heap_get_first(key,index,heap,info) + implicit none + + type(psb_dcomplex_idx_heap), intent(inout) :: heap + integer, intent(out) :: index,info + complex(kind(1.d0)), intent(out) :: key + + integer :: i, i2, last,j,itemp + complex(kind(1.d0)) :: temp + + + info = 0 + + + call psi_dcomplex_idx_heap_get_first(key,index,& + & heap%last,heap%keys,heap%idxs,heap%dir,info) + + return + end subroutine psb_dcomplex_idx_heap_get_first + + + + ! + ! These are packaged so that they can be used to implement + ! a heapsort, should the need arise + ! + + + subroutine psi_insert_int_heap(key,last,heap,dir,info) + implicit none + + ! + ! Input: + ! key: the new value + ! last: pointer to the last occupied element in heap + ! heap: the heap + ! dir: sorting direction + + integer, intent(in) :: key,dir + integer, intent(inout) :: heap(:),last + integer, intent(out) :: info + integer :: i, i2 + integer :: temp + + info = 0 + if (last < 0) then + write(0,*) 'Invalid last in heap ',last + info = last + return + endif + last = last + 1 + if (last > size(heap)) then + write(0,*) 'out of bounds ' + info = -1 + return + end if + i = last + heap(i) = key + + select case(dir) + case (psb_sort_up_) + + do + if (i<=1) exit + i2 = i/2 + if (heap(i) < heap(i2)) then + temp = heap(i) + heap(i) = heap(i2) + heap(i2) = temp + i = i2 + else + exit + end if + end do + + + case (psb_sort_down_) + + do + if (i<=1) exit + i2 = i/2 + if (heap(i) > heap(i2)) then + temp = heap(i) + heap(i) = heap(i2) + heap(i2) = temp + i = i2 + else + exit + end if + end do + + case (psb_asort_up_) + + do + if (i<=1) exit + i2 = i/2 + if (abs(heap(i)) < abs(heap(i2))) then + temp = heap(i) + heap(i) = heap(i2) + heap(i2) = temp + i = i2 + else + exit + end if + end do + + + case (psb_asort_down_) + + do + if (i<=1) exit + i2 = i/2 + if (abs(heap(i)) > abs(heap(i2))) then + temp = heap(i) + heap(i) = heap(i2) + heap(i2) = temp + i = i2 + else + exit + end if + end do + + + case default + write(0,*) 'Invalid direction in heap ',dir + end select + + return + end subroutine psi_insert_int_heap + + + subroutine psi_int_heap_get_first(key,last,heap,dir,info) + implicit none + + integer, intent(inout) :: key,last + integer, intent(in) :: dir + integer, intent(inout) :: heap(:) + integer, intent(out) :: info + + integer :: i, i2,j + integer :: temp + + + info = 0 + if (last <= 0) then + key = 0 + info = -1 + return + endif + + key = heap(1) + heap(1) = heap(last) + last = last - 1 + + select case(dir) + case (psb_sort_up_) + + i = 1 + do + if (i > (last/2)) exit + if ( (heap(2*i) < heap(2*i+1)) .or.& + & (2*i == last)) then + j = 2*i + else + j = 2*i + 1 + end if + + if (heap(i) > heap(j)) then + temp = heap(i) + heap(i) = heap(j) + heap(j) = temp + i = j + else + exit + end if + end do + + + case (psb_sort_down_) + + i = 1 + do + if (i > (last/2)) exit + if ( (heap(2*i) > heap(2*i+1)) .or.& + & (2*i == last)) then + j = 2*i + else + j = 2*i + 1 + end if + + if (heap(i) < heap(j)) then + temp = heap(i) + heap(i) = heap(j) + heap(j) = temp + i = j + else + exit + end if + end do + + case (psb_asort_up_) + + i = 1 + do + if (i > (last/2)) exit + if ( (abs(heap(2*i)) < abs(heap(2*i+1))) .or.& + & (2*i == last)) then + j = 2*i + else + j = 2*i + 1 + end if + + if (abs(heap(i)) > abs(heap(j))) then + temp = heap(i) + heap(i) = heap(j) + heap(j) = temp + i = j + else + exit + end if + end do + + + case (psb_asort_down_) + + i = 1 + do + if (i > (last/2)) exit + if ( (abs(heap(2*i)) > abs(heap(2*i+1))) .or.& + & (2*i == last)) then + j = 2*i + else + j = 2*i + 1 + end if + + if (abs(heap(i)) < abs(heap(j))) then + temp = heap(i) + heap(i) = heap(j) + heap(j) = temp + i = j + else + exit + end if + end do + + case default + write(0,*) 'Invalid direction in heap ',dir + end select + + return + end subroutine psi_int_heap_get_first + + + + + subroutine psi_insert_double_heap(key,last,heap,dir,info) implicit none - type(psb_int_heap), intent(inout) :: heap - integer, intent(out) :: key,info + ! + ! Input: + ! key: the new value + ! last: pointer to the last occupied element in heap + ! heap: the heap + ! dir: sorting direction + + real(kind(1.d0)), intent(in) :: key + integer, intent(in) :: dir + real(kind(1.d0)), intent(inout) :: heap(:) + integer, intent(inout) :: last + integer, intent(out) :: info + integer :: i, i2 + real(kind(1.d0)) :: temp + + info = 0 + if (last < 0) then + write(0,*) 'Invalid last in heap ',last + info = last + return + endif + last = last + 1 + if (last > size(heap)) then + write(0,*) 'out of bounds ' + info = -1 + return + end if + i = last + heap(i) = key - integer :: i, i2, last,j - integer :: temp + select case(dir) + case (psb_sort_up_) + + do + if (i<=1) exit + i2 = i/2 + if (heap(i) < heap(i2)) then + temp = heap(i) + heap(i) = heap(i2) + heap(i2) = temp + i = i2 + else + exit + end if + end do + + + case (psb_sort_down_) + + do + if (i<=1) exit + i2 = i/2 + if (heap(i) > heap(i2)) then + temp = heap(i) + heap(i) = heap(i2) + heap(i2) = temp + i = i2 + else + exit + end if + end do + + case (psb_asort_up_) + + do + if (i<=1) exit + i2 = i/2 + if (abs(heap(i)) < abs(heap(i2))) then + temp = heap(i) + heap(i) = heap(i2) + heap(i2) = temp + i = i2 + else + exit + end if + end do + + + case (psb_asort_down_) + + do + if (i<=1) exit + i2 = i/2 + if (abs(heap(i)) > abs(heap(i2))) then + temp = heap(i) + heap(i) = heap(i2) + heap(i2) = temp + i = i2 + else + exit + end if + end do + + + case default + write(0,*) 'Invalid direction in heap ',dir + end select + + return + end subroutine psi_insert_double_heap + + + subroutine psi_double_heap_get_first(key,last,heap,dir,info) + implicit none + + real(kind(1.d0)), intent(inout) :: key + integer, intent(inout) :: last + integer, intent(in) :: dir + real(kind(1.d0)), intent(inout) :: heap(:) + integer, intent(out) :: info + + integer :: i, i2,j + real(kind(1.d0)) :: temp info = 0 - if (heap%last <= 0) then + if (last <= 0) then key = 0 info = -1 return endif - key = heap%keys(1) - heap%keys(1) = heap%keys(heap%last) - heap%last = heap%last - 1 - last = heap%last + key = heap(1) + heap(1) = heap(last) + last = last - 1 - select case(heap%dir) + select case(dir) case (psb_sort_up_) i = 1 do if (i > (last/2)) exit - if ( (heap%keys(2*i) < heap%keys(2*i+1)) .or.& + if ( (heap(2*i) < heap(2*i+1)) .or.& & (2*i == last)) then j = 2*i else j = 2*i + 1 end if - if (heap%keys(i) > heap%keys(j)) then - temp = heap%keys(i) - heap%keys(i) = heap%keys(j) - heap%keys(j) = temp - i = j + if (heap(i) > heap(j)) then + temp = heap(i) + heap(i) = heap(j) + heap(j) = temp + i = j else exit end if @@ -647,18 +1737,18 @@ contains i = 1 do if (i > (last/2)) exit - if ( (heap%keys(2*i) > heap%keys(2*i+1)) .or.& + if ( (heap(2*i) > heap(2*i+1)) .or.& & (2*i == last)) then j = 2*i else j = 2*i + 1 end if - if (heap%keys(i) < heap%keys(j)) then - temp = heap%keys(i) - heap%keys(i) = heap%keys(j) - heap%keys(j) = temp - i = j + if (heap(i) < heap(j)) then + temp = heap(i) + heap(i) = heap(j) + heap(j) = temp + i = j else exit end if @@ -669,18 +1759,18 @@ contains i = 1 do if (i > (last/2)) exit - if ( (abs(heap%keys(2*i)) < abs(heap%keys(2*i+1))) .or.& + if ( (abs(heap(2*i)) < abs(heap(2*i+1))) .or.& & (2*i == last)) then j = 2*i else j = 2*i + 1 end if - if (abs(heap%keys(i)) > abs(heap%keys(j))) then - temp = heap%keys(i) - heap%keys(i) = heap%keys(j) - heap%keys(j) = temp - i = j + if (abs(heap(i)) > abs(heap(j))) then + temp = heap(i) + heap(i) = heap(j) + heap(j) = temp + i = j else exit end if @@ -692,140 +1782,315 @@ contains i = 1 do if (i > (last/2)) exit - if ( (abs(heap%keys(2*i)) > abs(heap%keys(2*i+1))) .or.& + if ( (abs(heap(2*i)) > abs(heap(2*i+1))) .or.& & (2*i == last)) then j = 2*i else j = 2*i + 1 end if - if (abs(heap%keys(i)) < abs(heap%keys(j))) then - temp = heap%keys(i) - heap%keys(i) = heap%keys(j) - heap%keys(j) = temp - i = j + if (abs(heap(i)) < abs(heap(j))) then + temp = heap(i) + heap(i) = heap(j) + heap(j) = temp + i = j else exit end if end do case default - write(0,*) 'Invalid direction in heap ',heap%dir + write(0,*) 'Invalid direction in heap ',dir end select return - end subroutine psb_int_heap_get_first + end subroutine psi_double_heap_get_first - - function psb_howmany_double_idx_heap(heap) + + + subroutine psi_insert_dcomplex_heap(key,last,heap,dir,info) implicit none - type(psb_double_idx_heap), intent(in) :: heap - integer :: psb_howmany_double_idx_heap - psb_howmany_double_idx_heap = heap%last - end function psb_howmany_double_idx_heap - subroutine psb_init_double_idx_heap(heap,info,dir) - use psb_realloc_mod + ! + ! Input: + ! key: the new value + ! last: pointer to the last occupied element in heap + ! heap: the heap + ! dir: sorting direction + + complex(kind(1.d0)), intent(in) :: key + integer, intent(in) :: dir + complex(kind(1.d0)), intent(inout) :: heap(:) + integer, intent(inout) :: last + integer, intent(out) :: info + integer :: i, i2 + complex(kind(1.d0)) :: temp + + info = 0 + if (last < 0) then + write(0,*) 'Invalid last in heap ',last + info = last + return + endif + last = last + 1 + if (last > size(heap)) then + write(0,*) 'out of bounds ' + info = -1 + return + end if + i = last + heap(i) = key + + select case(dir) +!!$ case (psb_sort_up_) +!!$ +!!$ do +!!$ if (i<=1) exit +!!$ i2 = i/2 +!!$ if (heap(i) < heap(i2)) then +!!$ temp = heap(i) +!!$ heap(i) = heap(i2) +!!$ heap(i2) = temp +!!$ i = i2 +!!$ else +!!$ exit +!!$ end if +!!$ end do +!!$ +!!$ +!!$ case (psb_sort_down_) +!!$ +!!$ do +!!$ if (i<=1) exit +!!$ i2 = i/2 +!!$ if (heap(i) > heap(i2)) then +!!$ temp = heap(i) +!!$ heap(i) = heap(i2) +!!$ heap(i2) = temp +!!$ i = i2 +!!$ else +!!$ exit +!!$ end if +!!$ end do + + case (psb_asort_up_) + + do + if (i<=1) exit + i2 = i/2 + if (abs(heap(i)) < abs(heap(i2))) then + temp = heap(i) + heap(i) = heap(i2) + heap(i2) = temp + i = i2 + else + exit + end if + end do + + + case (psb_asort_down_) + + do + if (i<=1) exit + i2 = i/2 + if (abs(heap(i)) > abs(heap(i2))) then + temp = heap(i) + heap(i) = heap(i2) + heap(i2) = temp + i = i2 + else + exit + end if + end do + + + case default + write(0,*) 'Invalid direction in heap ',dir + end select + + return + end subroutine psi_insert_dcomplex_heap + + + subroutine psi_dcomplex_heap_get_first(key,last,heap,dir,info) implicit none - type(psb_double_idx_heap), intent(inout) :: heap - integer, intent(out) :: info - integer, intent(in), optional :: dir + + complex(kind(1.d0)), intent(inout) :: key + integer, intent(inout) :: last + integer, intent(in) :: dir + complex(kind(1.d0)), intent(inout) :: heap(:) + integer, intent(out) :: info + + integer :: i, i2,j + complex(kind(1.d0)) :: temp + info = 0 - heap%last=0 - if (present(dir)) then - heap%dir = dir - else - heap%dir = psb_sort_up_ + if (last <= 0) then + key = 0 + info = -1 + return endif - select case(heap%dir) - case (psb_sort_up_,psb_sort_down_,psb_asort_up_,psb_asort_down_) - ! ok, do nothing + + key = heap(1) + heap(1) = heap(last) + last = last - 1 + + select case(dir) +!!$ case (psb_sort_up_) +!!$ +!!$ i = 1 +!!$ do +!!$ if (i > (last/2)) exit +!!$ if ( (heap(2*i) < heap(2*i+1)) .or.& +!!$ & (2*i == last)) then +!!$ j = 2*i +!!$ else +!!$ j = 2*i + 1 +!!$ end if +!!$ +!!$ if (heap(i) > heap(j)) then +!!$ temp = heap(i) +!!$ heap(i) = heap(j) +!!$ heap(j) = temp +!!$ i = j +!!$ else +!!$ exit +!!$ end if +!!$ end do +!!$ +!!$ +!!$ case (psb_sort_down_) +!!$ +!!$ i = 1 +!!$ do +!!$ if (i > (last/2)) exit +!!$ if ( (heap(2*i) > heap(2*i+1)) .or.& +!!$ & (2*i == last)) then +!!$ j = 2*i +!!$ else +!!$ j = 2*i + 1 +!!$ end if +!!$ +!!$ if (heap(i) < heap(j)) then +!!$ temp = heap(i) +!!$ heap(i) = heap(j) +!!$ heap(j) = temp +!!$ i = j +!!$ else +!!$ exit +!!$ end if +!!$ end do + + case (psb_asort_up_) + + i = 1 + do + if (i > (last/2)) exit + if ( (abs(heap(2*i)) < abs(heap(2*i+1))) .or.& + & (2*i == last)) then + j = 2*i + else + j = 2*i + 1 + end if + + if (abs(heap(i)) > abs(heap(j))) then + temp = heap(i) + heap(i) = heap(j) + heap(j) = temp + i = j + else + exit + end if + end do + + + case (psb_asort_down_) + + i = 1 + do + if (i > (last/2)) exit + if ( (abs(heap(2*i)) > abs(heap(2*i+1))) .or.& + & (2*i == last)) then + j = 2*i + else + j = 2*i + 1 + end if + + if (abs(heap(i)) < abs(heap(j))) then + temp = heap(i) + heap(i) = heap(j) + heap(j) = temp + i = j + else + exit + end if + end do + case default - write(0,*) 'Invalid direction, defaulting to psb_sort_up_' - heap%dir = psb_sort_up_ + write(0,*) 'Invalid direction in heap ',dir end select - - call psb_ensure_size(psb_heap_resize,heap%keys,info) - call psb_ensure_size(psb_heap_resize,heap%idxs,info) + return - end subroutine psb_init_double_idx_heap + end subroutine psi_dcomplex_heap_get_first - subroutine psb_dump_double_idx_heap(iout,heap,info) - implicit none - type(psb_double_idx_heap), intent(in) :: heap - integer, intent(out) :: info - integer, intent(in) :: iout - - info = 0 - if (iout < 0) then - write(0,*) 'Invalid file ' - info =-1 - return - end if - - write(iout,*) 'Heap direction ',heap%dir - write(iout,*) 'Heap size ',heap%last - if ((heap%last > 0).and.((.not.allocated(heap%keys)).or.& - & (size(heap%keys) 0).and.((.not.allocated(heap%idxs)).or.& - & (size(heap%idxs) 0) then - write(iout,*) heap%keys(1:heap%last) - write(iout,*) heap%idxs(1:heap%last) - end if - end if - end subroutine psb_dump_double_idx_heap - subroutine psb_insert_double_idx_heap(key,index,heap,info) - use psb_realloc_mod - implicit none - real(kind(1.d0)), intent(in) :: key - integer, intent(in) :: index - type(psb_double_idx_heap), intent(inout) :: heap - integer, intent(out) :: info - integer :: i, i2, itemp - real(kind(1.d0)) :: temp + + subroutine psi_insert_int_idx_heap(key,index,last,heap,idxs,dir,info) + + implicit none + ! + ! Input: + ! key: the new value + ! index: the new index + ! last: pointer to the last occupied element in heap + ! heap: the heap + ! idxs: the indices + ! dir: sorting direction + + integer, intent(in) :: key + integer, intent(in) :: index,dir + integer, intent(inout) :: heap(:),last + integer, intent(inout) :: idxs(:) + integer, intent(out) :: info + integer :: i, i2, itemp + integer :: temp + info = 0 - if (heap%last < 0) then - write(0,*) 'Invalid last in heap ',heap%last - info = heap%last + if (last < 0) then + write(0,*) 'Invalid last in heap ',last + info = last return endif - heap%last = heap%last + 1 - call psb_ensure_size(heap%last,heap%keys,info,addsz=psb_heap_resize) - if (info == 0) & - & call psb_ensure_size(heap%last,heap%idxs,info,addsz=psb_heap_resize) - if (info /= 0) then - write(0,*) 'Memory allocation failure in heap_insert' - info = -5 + last = last + 1 + if (last > size(heap)) then + write(0,*) 'out of bounds ' + info = -1 return end if - - i = heap%last - heap%keys(i) = key - heap%idxs(i) = index + + i = last + heap(i) = key + idxs(i) = index - select case(heap%dir) + select case(dir) case (psb_sort_up_) do if (i<=1) exit i2 = i/2 - if (heap%keys(i) < heap%keys(i2)) then - itemp = heap%idxs(i) - heap%idxs(i) = heap%idxs(i2) - heap%idxs(i2) = itemp - temp = heap%keys(i) - heap%keys(i) = heap%keys(i2) - heap%keys(i2) = temp - i = i2 + if (heap(i) < heap(i2)) then + itemp = idxs(i) + idxs(i) = idxs(i2) + idxs(i2) = itemp + temp = heap(i) + heap(i) = heap(i2) + heap(i2) = temp + i = i2 else exit end if @@ -837,14 +2102,14 @@ contains do if (i<=1) exit i2 = i/2 - if (heap%keys(i) > heap%keys(i2)) then - itemp = heap%idxs(i) - heap%idxs(i) = heap%idxs(i2) - heap%idxs(i2) = itemp - temp = heap%keys(i) - heap%keys(i) = heap%keys(i2) - heap%keys(i2) = temp - i = i2 + if (heap(i) > heap(i2)) then + itemp = idxs(i) + idxs(i) = idxs(i2) + idxs(i2) = itemp + temp = heap(i) + heap(i) = heap(i2) + heap(i2) = temp + i = i2 else exit end if @@ -855,14 +2120,14 @@ contains do if (i<=1) exit i2 = i/2 - if (abs(heap%keys(i)) < abs(heap%keys(i2))) then - itemp = heap%idxs(i) - heap%idxs(i) = heap%idxs(i2) - heap%idxs(i2) = itemp - temp = heap%keys(i) - heap%keys(i) = heap%keys(i2) - heap%keys(i2) = temp - i = i2 + if (abs(heap(i)) < abs(heap(i2))) then + itemp = idxs(i) + idxs(i) = idxs(i2) + idxs(i2) = itemp + temp = heap(i) + heap(i) = heap(i2) + heap(i2) = temp + i = i2 else exit end if @@ -874,14 +2139,14 @@ contains do if (i<=1) exit i2 = i/2 - if (abs(heap%keys(i)) > abs(heap%keys(i2))) then - itemp = heap%idxs(i) - heap%idxs(i) = heap%idxs(i2) - heap%idxs(i2) = itemp - temp = heap%keys(i) - heap%keys(i) = heap%keys(i2) - heap%keys(i2) = temp - i = i2 + if (abs(heap(i)) > abs(heap(i2))) then + itemp = idxs(i) + idxs(i) = idxs(i2) + idxs(i2) = itemp + temp = heap(i) + heap(i) = heap(i2) + heap(i2) = temp + i = i2 else exit end if @@ -889,58 +2154,59 @@ contains case default - write(0,*) 'Invalid direction in heap ',heap%dir + write(0,*) 'Invalid direction in heap ',dir end select return - end subroutine psb_insert_double_idx_heap + end subroutine psi_insert_int_idx_heap - subroutine psb_double_idx_heap_get_first(key,index,heap,info) + subroutine psi_int_idx_heap_get_first(key,index,last,heap,idxs,dir,info) implicit none - type(psb_double_idx_heap), intent(inout) :: heap - integer, intent(out) :: index,info - real(kind(1.d0)), intent(out) :: key + integer, intent(inout) :: heap(:) + integer, intent(out) :: index,info + integer, intent(inout) :: last,idxs(:) + integer, intent(in) :: dir + integer, intent(out) :: key - integer :: i, i2, last,j,itemp - real(kind(1.d0)) :: temp + integer :: i, i2, j,itemp + integer :: temp - info = 0 - if (heap%last <= 0) then - key = 0 - info = -1 + if (last <= 0) then + key = 0 + index = 0 + info = -1 return endif - key = heap%keys(1) - index = heap%idxs(1) - heap%keys(1) = heap%keys(heap%last) - heap%idxs(1) = heap%idxs(heap%last) - heap%last = heap%last - 1 - last = heap%last + key = heap(1) + index = idxs(1) + heap(1) = heap(last) + idxs(1) = idxs(last) + last = last - 1 - select case(heap%dir) + select case(dir) case (psb_sort_up_) i = 1 do if (i > (last/2)) exit - if ( (heap%keys(2*i) < heap%keys(2*i+1)) .or.& + if ( (heap(2*i) < heap(2*i+1)) .or.& & (2*i == last)) then j = 2*i else j = 2*i + 1 end if - if (heap%keys(i) > heap%keys(j)) then - itemp = heap%idxs(i) - heap%idxs(i) = heap%idxs(j) - heap%idxs(j) = itemp - temp = heap%keys(i) - heap%keys(i) = heap%keys(j) - heap%keys(j) = temp - i = j + if (heap(i) > heap(j)) then + itemp = idxs(i) + idxs(i) = idxs(j) + idxs(j) = itemp + temp = heap(i) + heap(i) = heap(j) + heap(j) = temp + i = j else exit end if @@ -952,21 +2218,21 @@ contains i = 1 do if (i > (last/2)) exit - if ( (heap%keys(2*i) > heap%keys(2*i+1)) .or.& + if ( (heap(2*i) > heap(2*i+1)) .or.& & (2*i == last)) then j = 2*i else j = 2*i + 1 end if - if (heap%keys(i) < heap%keys(j)) then - itemp = heap%idxs(i) - heap%idxs(i) = heap%idxs(j) - heap%idxs(j) = itemp - temp = heap%keys(i) - heap%keys(i) = heap%keys(j) - heap%keys(j) = temp - i = j + if (heap(i) < heap(j)) then + itemp = idxs(i) + idxs(i) = idxs(j) + idxs(j) = itemp + temp = heap(i) + heap(i) = heap(j) + heap(j) = temp + i = j else exit end if @@ -977,21 +2243,21 @@ contains i = 1 do if (i > (last/2)) exit - if ( (abs(heap%keys(2*i)) < abs(heap%keys(2*i+1))) .or.& + if ( (abs(heap(2*i)) < abs(heap(2*i+1))) .or.& & (2*i == last)) then j = 2*i else j = 2*i + 1 end if - if (abs(heap%keys(i)) > abs(heap%keys(j))) then - itemp = heap%idxs(i) - heap%idxs(i) = heap%idxs(j) - heap%idxs(j) = itemp - temp = heap%keys(i) - heap%keys(i) = heap%keys(j) - heap%keys(j) = temp - i = j + if (abs(heap(i)) > abs(heap(j))) then + itemp = idxs(i) + idxs(i) = idxs(j) + idxs(j) = itemp + temp = heap(i) + heap(i) = heap(j) + heap(j) = temp + i = j else exit end if @@ -1003,141 +2269,85 @@ contains i = 1 do if (i > (last/2)) exit - if ( (abs(heap%keys(2*i)) > abs(heap%keys(2*i+1))) .or.& + if ( (abs(heap(2*i)) > abs(heap(2*i+1))) .or.& & (2*i == last)) then j = 2*i else j = 2*i + 1 end if - if (abs(heap%keys(i)) < abs(heap%keys(j))) then - itemp = heap%idxs(i) - heap%idxs(i) = heap%idxs(j) - heap%idxs(j) = itemp - temp = heap%keys(i) - heap%keys(i) = heap%keys(j) - heap%keys(j) = temp - i = j + if (abs(heap(i)) < abs(heap(j))) then + itemp = idxs(i) + idxs(i) = idxs(j) + idxs(j) = itemp + temp = heap(i) + heap(i) = heap(j) + heap(j) = temp + i = j else exit end if end do case default - write(0,*) 'Invalid direction in heap ',heap%dir + write(0,*) 'Invalid direction in heap ',dir end select return - end subroutine psb_double_idx_heap_get_first - - function psb_howmany_int_idx_heap(heap) - implicit none - type(psb_int_idx_heap), intent(in) :: heap - integer :: psb_howmany_int_idx_heap - psb_howmany_int_idx_heap = heap%last - end function psb_howmany_int_idx_heap + end subroutine psi_int_idx_heap_get_first - subroutine psb_init_int_idx_heap(heap,info,dir) - use psb_realloc_mod - implicit none - type(psb_int_idx_heap), intent(inout) :: heap - integer, intent(out) :: info - integer, intent(in), optional :: dir - - info = 0 - heap%last=0 - if (present(dir)) then - heap%dir = dir - else - heap%dir = psb_sort_up_ - endif - select case(heap%dir) - case (psb_sort_up_,psb_sort_down_,psb_asort_up_,psb_asort_down_) - ! ok, do nothing - case default - write(0,*) 'Invalid direction, defaulting to psb_sort_up_' - heap%dir = psb_sort_up_ - end select - - call psb_ensure_size(psb_heap_resize,heap%keys,info) - call psb_ensure_size(psb_heap_resize,heap%idxs,info) - return - end subroutine psb_init_int_idx_heap + subroutine psi_insert_double_idx_heap(key,index,last,heap,idxs,dir,info) - subroutine psb_dump_int_idx_heap(iout,heap,info) implicit none - type(psb_int_idx_heap), intent(in) :: heap - integer, intent(out) :: info - integer, intent(in) :: iout - - info = 0 - if (iout < 0) then - write(0,*) 'Invalid file ' - info =-1 - return - end if + ! + ! Input: + ! key: the new value + ! index: the new index + ! last: pointer to the last occupied element in heap + ! heap: the heap + ! idxs: the indices + ! dir: sorting direction + + real(kind(1.d0)), intent(in) :: key + integer, intent(in) :: index,dir + real(kind(1.d0)), intent(inout) :: heap(:) + integer, intent(inout) :: idxs(:),last + integer, intent(out) :: info + integer :: i, i2, itemp + real(kind(1.d0)) :: temp - write(iout,*) 'Heap direction ',heap%dir - write(iout,*) 'Heap size ',heap%last - if ((heap%last > 0).and.((.not.allocated(heap%keys)).or.& - & (size(heap%keys) 0).and.((.not.allocated(heap%idxs)).or.& - & (size(heap%idxs) 0) then - write(iout,*) heap%keys(1:heap%last) - write(iout,*) heap%idxs(1:heap%last) - end if - end if - end subroutine psb_dump_int_idx_heap - - subroutine psb_insert_int_idx_heap(key,index,heap,info) - use psb_realloc_mod - implicit none - - integer, intent(in) :: key - integer, intent(in) :: index - type(psb_int_idx_heap), intent(inout) :: heap - integer, intent(out) :: info - integer :: i, i2, itemp - integer :: temp info = 0 - if (heap%last < 0) then - write(0,*) 'Invalid last in heap ',heap%last - info = heap%last + if (last < 0) then + write(0,*) 'Invalid last in heap ',last + info = last return endif - heap%last = heap%last + 1 - call psb_ensure_size(heap%last,heap%keys,info,addsz=psb_heap_resize) - if (info == 0) & - & call psb_ensure_size(heap%last,heap%idxs,info,addsz=psb_heap_resize) - if (info /= 0) then - write(0,*) 'Memory allocation failure in heap_insert' - info = -5 + last = last + 1 + if (last > size(heap)) then + write(0,*) 'out of bounds ' + info = -1 return end if - - i = heap%last - heap%keys(i) = key - heap%idxs(i) = index + + i = last + heap(i) = key + idxs(i) = index - select case(heap%dir) + select case(dir) case (psb_sort_up_) do if (i<=1) exit i2 = i/2 - if (heap%keys(i) < heap%keys(i2)) then - itemp = heap%idxs(i) - heap%idxs(i) = heap%idxs(i2) - heap%idxs(i2) = itemp - temp = heap%keys(i) - heap%keys(i) = heap%keys(i2) - heap%keys(i2) = temp - i = i2 + if (heap(i) < heap(i2)) then + itemp = idxs(i) + idxs(i) = idxs(i2) + idxs(i2) = itemp + temp = heap(i) + heap(i) = heap(i2) + heap(i2) = temp + i = i2 else exit end if @@ -1149,14 +2359,14 @@ contains do if (i<=1) exit i2 = i/2 - if (heap%keys(i) > heap%keys(i2)) then - itemp = heap%idxs(i) - heap%idxs(i) = heap%idxs(i2) - heap%idxs(i2) = itemp - temp = heap%keys(i) - heap%keys(i) = heap%keys(i2) - heap%keys(i2) = temp - i = i2 + if (heap(i) > heap(i2)) then + itemp = idxs(i) + idxs(i) = idxs(i2) + idxs(i2) = itemp + temp = heap(i) + heap(i) = heap(i2) + heap(i2) = temp + i = i2 else exit end if @@ -1167,14 +2377,14 @@ contains do if (i<=1) exit i2 = i/2 - if (abs(heap%keys(i)) < abs(heap%keys(i2))) then - itemp = heap%idxs(i) - heap%idxs(i) = heap%idxs(i2) - heap%idxs(i2) = itemp - temp = heap%keys(i) - heap%keys(i) = heap%keys(i2) - heap%keys(i2) = temp - i = i2 + if (abs(heap(i)) < abs(heap(i2))) then + itemp = idxs(i) + idxs(i) = idxs(i2) + idxs(i2) = itemp + temp = heap(i) + heap(i) = heap(i2) + heap(i2) = temp + i = i2 else exit end if @@ -1186,14 +2396,14 @@ contains do if (i<=1) exit i2 = i/2 - if (abs(heap%keys(i)) > abs(heap%keys(i2))) then - itemp = heap%idxs(i) - heap%idxs(i) = heap%idxs(i2) - heap%idxs(i2) = itemp - temp = heap%keys(i) - heap%keys(i) = heap%keys(i2) - heap%keys(i2) = temp - i = i2 + if (abs(heap(i)) > abs(heap(i2))) then + itemp = idxs(i) + idxs(i) = idxs(i2) + idxs(i2) = itemp + temp = heap(i) + heap(i) = heap(i2) + heap(i2) = temp + i = i2 else exit end if @@ -1201,58 +2411,59 @@ contains case default - write(0,*) 'Invalid direction in heap ',heap%dir + write(0,*) 'Invalid direction in heap ',dir end select return - end subroutine psb_insert_int_idx_heap + end subroutine psi_insert_double_idx_heap - subroutine psb_int_idx_heap_get_first(key,index,heap,info) + subroutine psi_double_idx_heap_get_first(key,index,last,heap,idxs,dir,info) implicit none - type(psb_int_idx_heap), intent(inout) :: heap - integer, intent(out) :: index,info - integer, intent(out) :: key + real(kind(1.d0)), intent(inout) :: heap(:) + integer, intent(out) :: index,info + integer, intent(inout) :: last,idxs(:) + integer, intent(in) :: dir + real(kind(1.d0)), intent(out) :: key - integer :: i, i2, last,j,itemp - integer :: temp + integer :: i, i2, j,itemp + real(kind(1.d0)) :: temp - info = 0 - if (heap%last <= 0) then - key = 0 - info = -1 + if (last <= 0) then + key = 0 + index = 0 + info = -1 return endif - key = heap%keys(1) - index = heap%idxs(1) - heap%keys(1) = heap%keys(heap%last) - heap%idxs(1) = heap%idxs(heap%last) - heap%last = heap%last - 1 - last = heap%last + key = heap(1) + index = idxs(1) + heap(1) = heap(last) + idxs(1) = idxs(last) + last = last - 1 - select case(heap%dir) + select case(dir) case (psb_sort_up_) i = 1 do if (i > (last/2)) exit - if ( (heap%keys(2*i) < heap%keys(2*i+1)) .or.& + if ( (heap(2*i) < heap(2*i+1)) .or.& & (2*i == last)) then j = 2*i else j = 2*i + 1 end if - if (heap%keys(i) > heap%keys(j)) then - itemp = heap%idxs(i) - heap%idxs(i) = heap%idxs(j) - heap%idxs(j) = itemp - temp = heap%keys(i) - heap%keys(i) = heap%keys(j) - heap%keys(j) = temp - i = j + if (heap(i) > heap(j)) then + itemp = idxs(i) + idxs(i) = idxs(j) + idxs(j) = itemp + temp = heap(i) + heap(i) = heap(j) + heap(j) = temp + i = j else exit end if @@ -1264,21 +2475,21 @@ contains i = 1 do if (i > (last/2)) exit - if ( (heap%keys(2*i) > heap%keys(2*i+1)) .or.& + if ( (heap(2*i) > heap(2*i+1)) .or.& & (2*i == last)) then j = 2*i else j = 2*i + 1 end if - if (heap%keys(i) < heap%keys(j)) then - itemp = heap%idxs(i) - heap%idxs(i) = heap%idxs(j) - heap%idxs(j) = itemp - temp = heap%keys(i) - heap%keys(i) = heap%keys(j) - heap%keys(j) = temp - i = j + if (heap(i) < heap(j)) then + itemp = idxs(i) + idxs(i) = idxs(j) + idxs(j) = itemp + temp = heap(i) + heap(i) = heap(j) + heap(j) = temp + i = j else exit end if @@ -1289,21 +2500,21 @@ contains i = 1 do if (i > (last/2)) exit - if ( (abs(heap%keys(2*i)) < abs(heap%keys(2*i+1))) .or.& + if ( (abs(heap(2*i)) < abs(heap(2*i+1))) .or.& & (2*i == last)) then j = 2*i else j = 2*i + 1 end if - if (abs(heap%keys(i)) > abs(heap%keys(j))) then - itemp = heap%idxs(i) - heap%idxs(i) = heap%idxs(j) - heap%idxs(j) = itemp - temp = heap%keys(i) - heap%keys(i) = heap%keys(j) - heap%keys(j) = temp - i = j + if (abs(heap(i)) > abs(heap(j))) then + itemp = idxs(i) + idxs(i) = idxs(j) + idxs(j) = itemp + temp = heap(i) + heap(i) = heap(j) + heap(j) = temp + i = j else exit end if @@ -1315,144 +2526,86 @@ contains i = 1 do if (i > (last/2)) exit - if ( (abs(heap%keys(2*i)) > abs(heap%keys(2*i+1))) .or.& + if ( (abs(heap(2*i)) > abs(heap(2*i+1))) .or.& & (2*i == last)) then j = 2*i else j = 2*i + 1 end if - if (abs(heap%keys(i)) < abs(heap%keys(j))) then - itemp = heap%idxs(i) - heap%idxs(i) = heap%idxs(j) - heap%idxs(j) = itemp - temp = heap%keys(i) - heap%keys(i) = heap%keys(j) - heap%keys(j) = temp - i = j + if (abs(heap(i)) < abs(heap(j))) then + itemp = idxs(i) + idxs(i) = idxs(j) + idxs(j) = itemp + temp = heap(i) + heap(i) = heap(j) + heap(j) = temp + i = j else exit end if end do case default - write(0,*) 'Invalid direction in heap ',heap%dir + write(0,*) 'Invalid direction in heap ',dir end select return - end subroutine psb_int_idx_heap_get_first - - + end subroutine psi_double_idx_heap_get_first - function psb_howmany_dcomplex_idx_heap(heap) - implicit none - type(psb_dcomplex_idx_heap), intent(in) :: heap - integer :: psb_howmany_dcomplex_idx_heap - psb_howmany_dcomplex_idx_heap = heap%last - end function psb_howmany_dcomplex_idx_heap - subroutine psb_init_dcomplex_idx_heap(heap,info,dir) - use psb_realloc_mod - implicit none - type(psb_dcomplex_idx_heap), intent(inout) :: heap - integer, intent(out) :: info - integer, intent(in), optional :: dir - - info = 0 - heap%last=0 - if (present(dir)) then - heap%dir = dir - else - heap%dir = psb_sort_up_ - endif - select case(heap%dir) -!!$ case (psb_sort_up_,psb_sort_down_,psb_asort_up_,psb_asort_down_) - case (psb_asort_up_,psb_asort_down_) - ! ok, do nothing - case default - write(0,*) 'Invalid direction, defaulting to psb_sort_up_' - heap%dir = psb_asort_up_ - end select - - call psb_ensure_size(psb_heap_resize,heap%keys,info) - call psb_ensure_size(psb_heap_resize,heap%idxs,info) - return - end subroutine psb_init_dcomplex_idx_heap + subroutine psi_insert_dcomplex_idx_heap(key,index,last,heap,idxs,dir,info) - subroutine psb_dump_dcomplex_idx_heap(iout,heap,info) implicit none - type(psb_dcomplex_idx_heap), intent(in) :: heap - integer, intent(out) :: info - integer, intent(in) :: iout - - info = 0 - if (iout < 0) then - write(0,*) 'Invalid file ' - info =-1 - return - end if + ! + ! Input: + ! key: the new value + ! index: the new index + ! last: pointer to the last occupied element in heap + ! heap: the heap + ! idxs: the indices + ! dir: sorting direction + + complex(kind(1.d0)), intent(in) :: key + integer, intent(in) :: index,dir + complex(kind(1.d0)), intent(inout) :: heap(:) + integer, intent(inout) :: idxs(:),last + integer, intent(out) :: info + integer :: i, i2, itemp + complex(kind(1.d0)) :: temp - write(iout,*) 'Heap direction ',heap%dir - write(iout,*) 'Heap size ',heap%last - if ((heap%last > 0).and.((.not.allocated(heap%keys)).or.& - & (size(heap%keys) 0).and.((.not.allocated(heap%idxs)).or.& - & (size(heap%idxs) 0) then - write(iout,*) heap%keys(1:heap%last) - write(iout,*) heap%idxs(1:heap%last) - end if - end if - end subroutine psb_dump_dcomplex_idx_heap - - subroutine psb_insert_dcomplex_idx_heap(key,index,heap,info) - use psb_realloc_mod - implicit none - - complex(kind(1.d0)), intent(in) :: key - integer, intent(in) :: index - type(psb_dcomplex_idx_heap), intent(inout) :: heap - integer, intent(out) :: info - integer :: i, i2, itemp - complex(kind(1.d0)) :: temp info = 0 - if (heap%last < 0) then - write(0,*) 'Invalid last in heap ',heap%last - info = heap%last + if (last < 0) then + write(0,*) 'Invalid last in heap ',last + info = last return endif - heap%last = heap%last + 1 - call psb_ensure_size(heap%last,heap%keys,info,addsz=psb_heap_resize) - if (info == 0) & - & call psb_ensure_size(heap%last,heap%idxs,info,addsz=psb_heap_resize) - if (info /= 0) then - write(0,*) 'Memory allocation failure in heap_insert' - info = -5 + last = last + 1 + if (last > size(heap)) then + write(0,*) 'out of bounds ' + info = -1 return end if - - i = heap%last - heap%keys(i) = key - heap%idxs(i) = index + + i = last + heap(i) = key + idxs(i) = index - select case(heap%dir) + select case(dir) !!$ case (psb_sort_up_) !!$ !!$ do !!$ if (i<=1) exit !!$ i2 = i/2 -!!$ if (heap%keys(i) < heap%keys(i2)) then -!!$ itemp = heap%idxs(i) -!!$ heap%idxs(i) = heap%idxs(i2) -!!$ heap%idxs(i2) = itemp -!!$ temp = heap%keys(i) -!!$ heap%keys(i) = heap%keys(i2) -!!$ heap%keys(i2) = temp -!!$ i = i2 +!!$ if (heap(i) < heap(i2)) then +!!$ itemp = idxs(i) +!!$ idxs(i) = idxs(i2) +!!$ idxs(i2) = itemp +!!$ temp = heap(i) +!!$ heap(i) = heap(i2) +!!$ heap(i2) = temp +!!$ i = i2 !!$ else !!$ exit !!$ end if @@ -1464,14 +2617,14 @@ contains !!$ do !!$ if (i<=1) exit !!$ i2 = i/2 -!!$ if (heap%keys(i) > heap%keys(i2)) then -!!$ itemp = heap%idxs(i) -!!$ heap%idxs(i) = heap%idxs(i2) -!!$ heap%idxs(i2) = itemp -!!$ temp = heap%keys(i) -!!$ heap%keys(i) = heap%keys(i2) -!!$ heap%keys(i2) = temp -!!$ i = i2 +!!$ if (heap(i) > heap(i2)) then +!!$ itemp = idxs(i) +!!$ idxs(i) = idxs(i2) +!!$ idxs(i2) = itemp +!!$ temp = heap(i) +!!$ heap(i) = heap(i2) +!!$ heap(i2) = temp +!!$ i = i2 !!$ else !!$ exit !!$ end if @@ -1482,14 +2635,14 @@ contains do if (i<=1) exit i2 = i/2 - if (abs(heap%keys(i)) < abs(heap%keys(i2))) then - itemp = heap%idxs(i) - heap%idxs(i) = heap%idxs(i2) - heap%idxs(i2) = itemp - temp = heap%keys(i) - heap%keys(i) = heap%keys(i2) - heap%keys(i2) = temp - i = i2 + if (abs(heap(i)) < abs(heap(i2))) then + itemp = idxs(i) + idxs(i) = idxs(i2) + idxs(i2) = itemp + temp = heap(i) + heap(i) = heap(i2) + heap(i2) = temp + i = i2 else exit end if @@ -1501,14 +2654,14 @@ contains do if (i<=1) exit i2 = i/2 - if (abs(heap%keys(i)) > abs(heap%keys(i2))) then - itemp = heap%idxs(i) - heap%idxs(i) = heap%idxs(i2) - heap%idxs(i2) = itemp - temp = heap%keys(i) - heap%keys(i) = heap%keys(i2) - heap%keys(i2) = temp - i = i2 + if (abs(heap(i)) > abs(heap(i2))) then + itemp = idxs(i) + idxs(i) = idxs(i2) + idxs(i2) = itemp + temp = heap(i) + heap(i) = heap(i2) + heap(i2) = temp + i = i2 else exit end if @@ -1516,58 +2669,59 @@ contains case default - write(0,*) 'Invalid direction in heap ',heap%dir + write(0,*) 'Invalid direction in heap ',dir end select return - end subroutine psb_insert_dcomplex_idx_heap + end subroutine psi_insert_dcomplex_idx_heap - subroutine psb_dcomplex_idx_heap_get_first(key,index,heap,info) + subroutine psi_dcomplex_idx_heap_get_first(key,index,last,heap,idxs,dir,info) implicit none - type(psb_dcomplex_idx_heap), intent(inout) :: heap - integer, intent(out) :: index,info - complex(kind(1.d0)), intent(out) :: key + complex(kind(1.d0)), intent(inout) :: heap(:) + integer, intent(out) :: index,info + integer, intent(inout) :: last,idxs(:) + integer, intent(in) :: dir + complex(kind(1.d0)), intent(out) :: key - integer :: i, i2, last,j,itemp - complex(kind(1.d0)) :: temp + integer :: i, i2, j, itemp + complex(kind(1.d0)) :: temp - info = 0 - if (heap%last <= 0) then - key = 0 - info = -1 + if (last <= 0) then + key = 0 + index = 0 + info = -1 return endif - key = heap%keys(1) - index = heap%idxs(1) - heap%keys(1) = heap%keys(heap%last) - heap%idxs(1) = heap%idxs(heap%last) - heap%last = heap%last - 1 - last = heap%last + key = heap(1) + index = idxs(1) + heap(1) = heap(last) + idxs(1) = idxs(last) + last = last - 1 - select case(heap%dir) + select case(dir) !!$ case (psb_sort_up_) !!$ !!$ i = 1 !!$ do !!$ if (i > (last/2)) exit -!!$ if ( (heap%keys(2*i) < heap%keys(2*i+1)) .or.& +!!$ if ( (heap(2*i) < heap(2*i+1)) .or.& !!$ & (2*i == last)) then !!$ j = 2*i !!$ else !!$ j = 2*i + 1 !!$ end if !!$ -!!$ if (heap%keys(i) > heap%keys(j)) then -!!$ itemp = heap%idxs(i) -!!$ heap%idxs(i) = heap%idxs(j) -!!$ heap%idxs(j) = itemp -!!$ temp = heap%keys(i) -!!$ heap%keys(i) = heap%keys(j) -!!$ heap%keys(j) = temp -!!$ i = j +!!$ if (heap(i) > heap(j)) then +!!$ itemp = idxs(i) +!!$ idxs(i) = idxs(j) +!!$ idxs(j) = itemp +!!$ temp = heap(i) +!!$ heap(i) = heap(j) +!!$ heap(j) = temp +!!$ i = j !!$ else !!$ exit !!$ end if @@ -1579,21 +2733,21 @@ contains !!$ i = 1 !!$ do !!$ if (i > (last/2)) exit -!!$ if ( (heap%keys(2*i) > heap%keys(2*i+1)) .or.& +!!$ if ( (heap(2*i) > heap(2*i+1)) .or.& !!$ & (2*i == last)) then !!$ j = 2*i !!$ else !!$ j = 2*i + 1 !!$ end if !!$ -!!$ if (heap%keys(i) < heap%keys(j)) then -!!$ itemp = heap%idxs(i) -!!$ heap%idxs(i) = heap%idxs(j) -!!$ heap%idxs(j) = itemp -!!$ temp = heap%keys(i) -!!$ heap%keys(i) = heap%keys(j) -!!$ heap%keys(j) = temp -!!$ i = j +!!$ if (heap(i) < heap(j)) then +!!$ itemp = idxs(i) +!!$ idxs(i) = idxs(j) +!!$ idxs(j) = itemp +!!$ temp = heap(i) +!!$ heap(i) = heap(j) +!!$ heap(j) = temp +!!$ i = j !!$ else !!$ exit !!$ end if @@ -1604,21 +2758,21 @@ contains i = 1 do if (i > (last/2)) exit - if ( (abs(heap%keys(2*i)) < abs(heap%keys(2*i+1))) .or.& + if ( (abs(heap(2*i)) < abs(heap(2*i+1))) .or.& & (2*i == last)) then j = 2*i else j = 2*i + 1 end if - if (abs(heap%keys(i)) > abs(heap%keys(j))) then - itemp = heap%idxs(i) - heap%idxs(i) = heap%idxs(j) - heap%idxs(j) = itemp - temp = heap%keys(i) - heap%keys(i) = heap%keys(j) - heap%keys(j) = temp - i = j + if (abs(heap(i)) > abs(heap(j))) then + itemp = idxs(i) + idxs(i) = idxs(j) + idxs(j) = itemp + temp = heap(i) + heap(i) = heap(j) + heap(j) = temp + i = j else exit end if @@ -1630,32 +2784,33 @@ contains i = 1 do if (i > (last/2)) exit - if ( (abs(heap%keys(2*i)) > abs(heap%keys(2*i+1))) .or.& + if ( (abs(heap(2*i)) > abs(heap(2*i+1))) .or.& & (2*i == last)) then j = 2*i else j = 2*i + 1 end if - if (abs(heap%keys(i)) < abs(heap%keys(j))) then - itemp = heap%idxs(i) - heap%idxs(i) = heap%idxs(j) - heap%idxs(j) = itemp - temp = heap%keys(i) - heap%keys(i) = heap%keys(j) - heap%keys(j) = temp - i = j + if (abs(heap(i)) < abs(heap(j))) then + itemp = idxs(i) + idxs(i) = idxs(j) + idxs(j) = itemp + temp = heap(i) + heap(i) = heap(j) + heap(j) = temp + i = j else exit end if end do case default - write(0,*) 'Invalid direction in heap ',heap%dir + write(0,*) 'Invalid direction in heap ',dir end select return - end subroutine psb_dcomplex_idx_heap_get_first + end subroutine psi_dcomplex_idx_heap_get_first + end module psb_sort_mod diff --git a/base/serial/aux/Makefile b/base/serial/aux/Makefile index cf8243aa..a4c3f734 100644 --- a/base/serial/aux/Makefile +++ b/base/serial/aux/Makefile @@ -5,10 +5,10 @@ include ../../../Make.inc FOBJS = isr.o isrx.o iasr.o iasrx.o msort_up.o msort_dw.o\ isaperm.o ibsrch.o issrch.o imsr.o imsrx.o imsru.o\ - dsr.o dsrx.o dasr.o dasrx.o \ + dsr.o dsrx.o dasr.o dasrx.o dmsr.o dmsrx.o dmsort_up.o dmsort_dw.o \ zlcmp_mod.o zlsr.o zlsrx.o \ zalcmp_mod.o zalsr.o zalsrx.o \ - zacmp_mod.o zasr.o zasrx.o + zacmp_mod.o zasr.o zasrx.o zamsr.o zamsrx.o zamsort_up.o zamsort_dw.o OBJS=$(FOBJS) diff --git a/base/serial/aux/dmsort_dw.f90 b/base/serial/aux/dmsort_dw.f90 new file mode 100644 index 00000000..5ddd10a0 --- /dev/null +++ b/base/serial/aux/dmsort_dw.f90 @@ -0,0 +1,172 @@ +! +! Parallel Sparse BLAS v2.0 +! (C) Copyright 2006 Salvatore Filippone University of Rome Tor Vergata +! Alfredo Buttari University of Rome Tor Vergata +! +! Redistribution and use in source and binary forms, with or without +! modification, are permitted provided that the following conditions +! are met: +! 1. Redistributions of source code must retain the above copyright +! notice, this list of conditions and the following disclaimer. +! 2. Redistributions in binary form must reproduce the above copyright +! notice, this list of conditions, and the following disclaimer in the +! documentation and/or other materials provided with the distribution. +! 3. The name of the PSBLAS group or the names of its contributors may +! not be used to endorse or promote products derived from this +! software without specific written permission. +! +! THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +! ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED +! TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR +! PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE PSBLAS GROUP OR ITS CONTRIBUTORS +! BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR +! CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF +! SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS +! INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN +! CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) +! ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +! POSSIBILITY OF SUCH DAMAGE. +! +! File: msort_dw.f90 +! +! Subroutine: msort_dw +! This subroutine sorts an integer array into ascending order. +! +! Arguments: +! n - integer Input: size of the array +! k - real(*) input: array of keys to be sorted +! l - integer(0:n+1) output: link list +! iret - integer output: 0 Normal termination +! 1 the array was already sorted +! * +! REFERENCES = (1) D. E. Knuth * +! The Art of Computer Programming, * +! vol.3: Sorting and Searching * +! Addison-Wesley, 1973 * +! * +! call msort_dw(n,x,iaux,iret) +! +! if (iret == 0) then +! lp = iaux(0) +! k = 1 +! do +! if ((lp==0).or.(k>n)) exit +! do +! if (lp >= k) exit +! lp = iaux(lp) +! end do +! iswap = x(lp) +! x(lp) = x(k) +! x(k) = iswap +! lswap = iaux(lp) +! iaux(lp) = iaux(k) +! iaux(k) = lp +! lp = lswap +! k = k + 1 +! enddo +! end if +! +! +subroutine dmsort_dw(n,k,l,iret) + implicit none + integer n, iret + real(kind(1.d0)) :: k(n) + integer l(0:n+1) + ! + integer p,q,s,t + intrinsic iabs,isign + ! .. + iret = 0 + ! first step: we are preparing ordered sublists, exploiting + ! what order was already in the input data; negative links + ! mark the end of the sublists + l(0) = 1 + t = n + 1 + do p = 1,n - 1 + if (k(p) >= k(p+1)) then + l(p) = p + 1 + else + l(t) = - (p+1) + t = p + end if + end do + l(t) = 0 + l(n) = 0 + ! see if the input was already sorted + if (l(n+1) == 0) then + iret = 1 + return + else + l(n+1) = iabs(l(n+1)) + end if + + mergepass: do + ! otherwise, begin a pass through the list. + ! throughout all the subroutine we have: + ! p, q: pointing to the sublists being merged + ! s: pointing to the most recently processed record + ! t: pointing to the end of previously completed sublist + s = 0 + t = n + 1 + p = l(s) + q = l(t) + if (q == 0) exit mergepass + + outer: do + + if (k(p) < k(q)) then + + l(s) = isign(q,l(s)) + s = q + q = l(q) + if (q > 0) then + do + if (k(p) >= k(q)) cycle outer + s = q + q = l(q) + if (q <= 0) exit + end do + end if + l(s) = p + s = t + do + t = p + p = l(p) + if (p <= 0) exit + end do + + else + + l(s) = isign(p,l(s)) + s = p + p = l(p) + if (p>0) then + do + if (k(p) < k(q)) cycle outer + s = p + p = l(p) + if (p <= 0) exit + end do + end if + ! otherwise, one sublist ended, and we append to it the rest + ! of the other one. + l(s) = q + s = t + do + t = q + q = l(q) + if (q <= 0) exit + end do + end if + + p = -p + q = -q + if (q == 0) then + l(s) = isign(p,l(s)) + l(t) = 0 + exit outer + end if + end do outer + end do mergepass + +end subroutine dmsort_dw diff --git a/base/serial/aux/dmsort_up.f90 b/base/serial/aux/dmsort_up.f90 new file mode 100644 index 00000000..ee59c9c6 --- /dev/null +++ b/base/serial/aux/dmsort_up.f90 @@ -0,0 +1,172 @@ +! +! Parallel Sparse BLAS v2.0 +! (C) Copyright 2006 Salvatore Filippone University of Rome Tor Vergata +! Alfredo Buttari University of Rome Tor Vergata +! +! Redistribution and use in source and binary forms, with or without +! modification, are permitted provided that the following conditions +! are met: +! 1. Redistributions of source code must retain the above copyright +! notice, this list of conditions and the following disclaimer. +! 2. Redistributions in binary form must reproduce the above copyright +! notice, this list of conditions, and the following disclaimer in the +! documentation and/or other materials provided with the distribution. +! 3. The name of the PSBLAS group or the names of its contributors may +! not be used to endorse or promote products derived from this +! software without specific written permission. +! +! THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +! ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED +! TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR +! PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE PSBLAS GROUP OR ITS CONTRIBUTORS +! BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR +! CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF +! SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS +! INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN +! CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) +! ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +! POSSIBILITY OF SUCH DAMAGE. +! +! File: msort_up.f90 +! +! Subroutine: msort_up +! This subroutine sorts an integer array into ascending order. +! +! Arguments: +! n - integer Input: size of the array +! k - integer(*) input: array of keys to be sorted +! l - integer(0:n+1) output: link list +! iret - integer output: 0 Normal termination +! 1 the array was already sorted +! * +! REFERENCES = (1) D. E. Knuth * +! The Art of Computer Programming, * +! vol.3: Sorting and Searching * +! Addison-Wesley, 1973 * +! * +! call msort_up(n,x,iaux,iret) +! +! if (iret == 0) then +! lp = iaux(0) +! k = 1 +! do +! if ((lp==0).or.(k>n)) exit +! do +! if (lp >= k) exit +! lp = iaux(lp) +! end do +! iswap = x(lp) +! x(lp) = x(k) +! x(k) = iswap +! lswap = iaux(lp) +! iaux(lp) = iaux(k) +! iaux(k) = lp +! lp = lswap +! k = k + 1 +! enddo +! end if +! +! +subroutine dmsort_up(n,k,l,iret) + implicit none + integer n, iret + real(kind(1.d0)) k(n) + integer l(0:n+1) + ! + integer p,q,s,t + intrinsic iabs,isign + ! .. + iret = 0 + ! first step: we are preparing ordered sublists, exploiting + ! what order was already in the input data; negative links + ! mark the end of the sublists + l(0) = 1 + t = n + 1 + do p = 1,n - 1 + if (k(p) <= k(p+1)) then + l(p) = p + 1 + else + l(t) = - (p+1) + t = p + end if + end do + l(t) = 0 + l(n) = 0 + ! see if the input was already sorted + if (l(n+1) == 0) then + iret = 1 + return + else + l(n+1) = iabs(l(n+1)) + end if + + mergepass: do + ! otherwise, begin a pass through the list. + ! throughout all the subroutine we have: + ! p, q: pointing to the sublists being merged + ! s: pointing to the most recently processed record + ! t: pointing to the end of previously completed sublist + s = 0 + t = n + 1 + p = l(s) + q = l(t) + if (q == 0) exit mergepass + + outer: do + + if (k(p) > k(q)) then + + l(s) = isign(q,l(s)) + s = q + q = l(q) + if (q > 0) then + do + if (k(p) <= k(q)) cycle outer + s = q + q = l(q) + if (q <= 0) exit + end do + end if + l(s) = p + s = t + do + t = p + p = l(p) + if (p <= 0) exit + end do + + else + + l(s) = isign(p,l(s)) + s = p + p = l(p) + if (p>0) then + do + if (k(p) > k(q)) cycle outer + s = p + p = l(p) + if (p <= 0) exit + end do + end if + ! otherwise, one sublist ended, and we append to it the rest + ! of the other one. + l(s) = q + s = t + do + t = q + q = l(q) + if (q <= 0) exit + end do + end if + + p = -p + q = -q + if (q == 0) then + l(s) = isign(p,l(s)) + l(t) = 0 + exit outer + end if + end do outer + end do mergepass + +end subroutine dmsort_up diff --git a/base/serial/aux/dmsr.f90 b/base/serial/aux/dmsr.f90 new file mode 100644 index 00000000..b187edbb --- /dev/null +++ b/base/serial/aux/dmsr.f90 @@ -0,0 +1,91 @@ +!!$ +!!$ Parallel Sparse BLAS v2.0 +!!$ (C) Copyright 2006 Salvatore Filippone University of Rome Tor Vergata +!!$ Alfredo Buttari University of Rome Tor Vergata +!!$ +!!$ Redistribution and use in source and binary forms, with or without +!!$ modification, are permitted provided that the following conditions +!!$ are met: +!!$ 1. Redistributions of source code must retain the above copyright +!!$ notice, this list of conditions and the following disclaimer. +!!$ 2. Redistributions in binary form must reproduce the above copyright +!!$ notice, this list of conditions, and the following disclaimer in the +!!$ documentation and/or other materials provided with the distribution. +!!$ 3. The name of the PSBLAS group or the names of its contributors may +!!$ not be used to endorse or promote products derived from this +!!$ software without specific written permission. +!!$ +!!$ THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +!!$ ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED +!!$ TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR +!!$ PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE PSBLAS GROUP OR ITS CONTRIBUTORS +!!$ BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR +!!$ CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF +!!$ SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS +!!$ INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN +!!$ CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) +!!$ ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +!!$ POSSIBILITY OF SUCH DAMAGE. +!!$ +!!$ +! File: imsr.f90 + ! Subroutine: + ! Parameters: +subroutine dmsr(n,x,idir) + use psb_serial_mod + implicit none + + integer :: n, idir + real(kind(1.d0)) :: x(n) + + + integer, allocatable :: iaux(:) + + integer :: lswap, iret, info, lp, k + real(kind(1.d0)) :: swap + + if (n<0) then +!!$ write(0,*) 'Error: IMSR: N<0' + return + endif + + if (n<=1) return + + allocate(iaux(0:n+1),stat=info) + if (info/=0) then + write(0,*) 'IMSR: memory allocation failed',info + return + endif + + if (idir==psb_sort_up_) then + call dmsort_up(n,x,iaux,iret) + else + call dmsort_dw(n,x,iaux,iret) + end if + + if (iret == 0) then + lp = iaux(0) + k = 1 + do + if ((lp==0).or.(k>n)) exit + do + if (lp >= k) exit + lp = iaux(lp) + end do + swap = x(lp) + x(lp) = x(k) + x(k) = swap + lswap = iaux(lp) + iaux(lp) = iaux(k) + iaux(k) = lp + lp = lswap + k = k + 1 + enddo + end if + + deallocate(iaux,stat=info) + if (info/=0) then + write(0,*) 'IMSR: memory deallocation failed',info + endif + return +end subroutine dmsr diff --git a/base/serial/aux/dmsrx.f90 b/base/serial/aux/dmsrx.f90 new file mode 100644 index 00000000..ef43e72b --- /dev/null +++ b/base/serial/aux/dmsrx.f90 @@ -0,0 +1,101 @@ +!!$ +!!$ Parallel Sparse BLAS v2.0 +!!$ (C) Copyright 2006 Salvatore Filippone University of Rome Tor Vergata +!!$ Alfredo Buttari University of Rome Tor Vergata +!!$ +!!$ Redistribution and use in source and binary forms, with or without +!!$ modification, are permitted provided that the following conditions +!!$ are met: +!!$ 1. Redistributions of source code must retain the above copyright +!!$ notice, this list of conditions and the following disclaimer. +!!$ 2. Redistributions in binary form must reproduce the above copyright +!!$ notice, this list of conditions, and the following disclaimer in the +!!$ documentation and/or other materials provided with the distribution. +!!$ 3. The name of the PSBLAS group or the names of its contributors may +!!$ not be used to endorse or promote products derived from this +!!$ software without specific written permission. +!!$ +!!$ THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +!!$ ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED +!!$ TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR +!!$ PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE PSBLAS GROUP OR ITS CONTRIBUTORS +!!$ BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR +!!$ CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF +!!$ SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS +!!$ INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN +!!$ CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) +!!$ ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +!!$ POSSIBILITY OF SUCH DAMAGE. +!!$ +!!$ +! File: imsrx.f90 + ! Subroutine: + ! Parameters: +subroutine dmsrx(n,x,indx,idir,flag) + use psb_serial_mod + implicit none + integer :: n,idir,flag + real(kind(1.d0)) :: x(n) + integer :: indx(n) + + integer, allocatable :: iaux(:) + + integer :: iret, info, lp, k,lswap, ixswap + real(kind(1.d0)) :: swap + + if (n<0) then + write(0,*) 'Error: DMSRX: N<0' + return + endif + + if (n==0) return + + if (flag == psb_sort_ovw_idx_) then + do k=1,n + indx(k) = k + enddo + end if + + if (n==1) return + + allocate(iaux(0:n+1),stat=info) + if (info/=0) then + write(0,*) 'DMSRX: memory allocation failed',info + return + endif + + if (idir == psb_sort_up_) then + call dmsort_up(n,x,iaux,iret) + else + call dmsort_dw(n,x,iaux,iret) + end if + + if (iret /= 1) then + lp = iaux(0) + k = 1 + do + if ((lp==0).or.(k>n)) exit + do + if (lp >= k) exit + lp = iaux(lp) + end do + swap = x(lp) + x(lp) = x(k) + x(k) = swap + ixswap = indx(lp) + indx(lp) = indx(k) + indx(k) = ixswap + lswap = iaux(lp) + iaux(lp) = iaux(k) + iaux(k) = lp + lp = lswap + k = k + 1 + enddo + end if + + deallocate(iaux,stat=info) + if (info/=0) then + write(0,*) 'DMSRX: memory deallocation failed',info + endif + return +end subroutine dmsrx diff --git a/base/serial/aux/zamsort_dw.f90 b/base/serial/aux/zamsort_dw.f90 new file mode 100644 index 00000000..6ddbb05b --- /dev/null +++ b/base/serial/aux/zamsort_dw.f90 @@ -0,0 +1,173 @@ +! +! Parallel Sparse BLAS v2.0 +! (C) Copyright 2006 Salvatore Filippone University of Rome Tor Vergata +! Alfredo Buttari University of Rome Tor Vergata +! +! Redistribution and use in source and binary forms, with or without +! modification, are permitted provided that the following conditions +! are met: +! 1. Redistributions of source code must retain the above copyright +! notice, this list of conditions and the following disclaimer. +! 2. Redistributions in binary form must reproduce the above copyright +! notice, this list of conditions, and the following disclaimer in the +! documentation and/or other materials provided with the distribution. +! 3. The name of the PSBLAS group or the names of its contributors may +! not be used to endorse or promote products derived from this +! software without specific written permission. +! +! THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +! ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED +! TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR +! PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE PSBLAS GROUP OR ITS CONTRIBUTORS +! BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR +! CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF +! SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS +! INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN +! CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) +! ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +! POSSIBILITY OF SUCH DAMAGE. +! +! File: msort_dw.f90 +! +! Subroutine: msort_dw +! This subroutine sorts an integer array into ascending order. +! +! Arguments: +! n - integer Input: size of the array +! k - real(*) input: array of keys to be sorted +! l - integer(0:n+1) output: link list +! iret - integer output: 0 Normal termination +! 1 the array was already sorted +! * +! REFERENCES = (1) D. E. Knuth * +! The Art of Computer Programming, * +! vol.3: Sorting and Searching * +! Addison-Wesley, 1973 * +! * +! call msort_dw(n,x,iaux,iret) +! +! if (iret == 0) then +! lp = iaux(0) +! k = 1 +! do +! if ((lp==0).or.(k>n)) exit +! do +! if (lp >= k) exit +! lp = iaux(lp) +! end do +! iswap = x(lp) +! x(lp) = x(k) +! x(k) = iswap +! lswap = iaux(lp) +! iaux(lp) = iaux(k) +! iaux(k) = lp +! lp = lswap +! k = k + 1 +! enddo +! end if +! +! +subroutine zamsort_dw(n,k,l,iret) + use zacmp_mod + implicit none + integer n, iret + complex(kind(1.d0)) :: k(n) + integer l(0:n+1) + ! + integer p,q,s,t + intrinsic iabs,isign + ! .. + iret = 0 + ! first step: we are preparing ordered sublists, exploiting + ! what order was already in the input data; negative links + ! mark the end of the sublists + l(0) = 1 + t = n + 1 + do p = 1,n - 1 + if (k(p) >= k(p+1)) then + l(p) = p + 1 + else + l(t) = - (p+1) + t = p + end if + end do + l(t) = 0 + l(n) = 0 + ! see if the input was already sorted + if (l(n+1) == 0) then + iret = 1 + return + else + l(n+1) = iabs(l(n+1)) + end if + + mergepass: do + ! otherwise, begin a pass through the list. + ! throughout all the subroutine we have: + ! p, q: pointing to the sublists being merged + ! s: pointing to the most recently processed record + ! t: pointing to the end of previously completed sublist + s = 0 + t = n + 1 + p = l(s) + q = l(t) + if (q == 0) exit mergepass + + outer: do + + if (k(p) < k(q)) then + + l(s) = isign(q,l(s)) + s = q + q = l(q) + if (q > 0) then + do + if (k(p) >= k(q)) cycle outer + s = q + q = l(q) + if (q <= 0) exit + end do + end if + l(s) = p + s = t + do + t = p + p = l(p) + if (p <= 0) exit + end do + + else + + l(s) = isign(p,l(s)) + s = p + p = l(p) + if (p>0) then + do + if (k(p) < k(q)) cycle outer + s = p + p = l(p) + if (p <= 0) exit + end do + end if + ! otherwise, one sublist ended, and we append to it the rest + ! of the other one. + l(s) = q + s = t + do + t = q + q = l(q) + if (q <= 0) exit + end do + end if + + p = -p + q = -q + if (q == 0) then + l(s) = isign(p,l(s)) + l(t) = 0 + exit outer + end if + end do outer + end do mergepass + +end subroutine zamsort_dw diff --git a/base/serial/aux/zamsort_up.f90 b/base/serial/aux/zamsort_up.f90 new file mode 100644 index 00000000..10413c0a --- /dev/null +++ b/base/serial/aux/zamsort_up.f90 @@ -0,0 +1,173 @@ +! +! Parallel Sparse BLAS v2.0 +! (C) Copyright 2006 Salvatore Filippone University of Rome Tor Vergata +! Alfredo Buttari University of Rome Tor Vergata +! +! Redistribution and use in source and binary forms, with or without +! modification, are permitted provided that the following conditions +! are met: +! 1. Redistributions of source code must retain the above copyright +! notice, this list of conditions and the following disclaimer. +! 2. Redistributions in binary form must reproduce the above copyright +! notice, this list of conditions, and the following disclaimer in the +! documentation and/or other materials provided with the distribution. +! 3. The name of the PSBLAS group or the names of its contributors may +! not be used to endorse or promote products derived from this +! software without specific written permission. +! +! THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +! ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED +! TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR +! PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE PSBLAS GROUP OR ITS CONTRIBUTORS +! BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR +! CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF +! SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS +! INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN +! CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) +! ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +! POSSIBILITY OF SUCH DAMAGE. +! +! File: msort_up.f90 +! +! Subroutine: msort_up +! This subroutine sorts an integer array into ascending order. +! +! Arguments: +! n - integer Input: size of the array +! k - integer(*) input: array of keys to be sorted +! l - integer(0:n+1) output: link list +! iret - integer output: 0 Normal termination +! 1 the array was already sorted +! * +! REFERENCES = (1) D. E. Knuth * +! The Art of Computer Programming, * +! vol.3: Sorting and Searching * +! Addison-Wesley, 1973 * +! * +! call msort_up(n,x,iaux,iret) +! +! if (iret == 0) then +! lp = iaux(0) +! k = 1 +! do +! if ((lp==0).or.(k>n)) exit +! do +! if (lp >= k) exit +! lp = iaux(lp) +! end do +! iswap = x(lp) +! x(lp) = x(k) +! x(k) = iswap +! lswap = iaux(lp) +! iaux(lp) = iaux(k) +! iaux(k) = lp +! lp = lswap +! k = k + 1 +! enddo +! end if +! +! +subroutine zamsort_up(n,k,l,iret) + use zacmp_mod + implicit none + integer n, iret + complex(kind(1.d0)) k(n) + integer l(0:n+1) + ! + integer p,q,s,t + intrinsic iabs,isign + ! .. + iret = 0 + ! first step: we are preparing ordered sublists, exploiting + ! what order was already in the input data; negative links + ! mark the end of the sublists + l(0) = 1 + t = n + 1 + do p = 1,n - 1 + if (k(p) <= k(p+1)) then + l(p) = p + 1 + else + l(t) = - (p+1) + t = p + end if + end do + l(t) = 0 + l(n) = 0 + ! see if the input was already sorted + if (l(n+1) == 0) then + iret = 1 + return + else + l(n+1) = iabs(l(n+1)) + end if + + mergepass: do + ! otherwise, begin a pass through the list. + ! throughout all the subroutine we have: + ! p, q: pointing to the sublists being merged + ! s: pointing to the most recently processed record + ! t: pointing to the end of previously completed sublist + s = 0 + t = n + 1 + p = l(s) + q = l(t) + if (q == 0) exit mergepass + + outer: do + + if (k(p) > k(q)) then + + l(s) = isign(q,l(s)) + s = q + q = l(q) + if (q > 0) then + do + if (k(p) <= k(q)) cycle outer + s = q + q = l(q) + if (q <= 0) exit + end do + end if + l(s) = p + s = t + do + t = p + p = l(p) + if (p <= 0) exit + end do + + else + + l(s) = isign(p,l(s)) + s = p + p = l(p) + if (p>0) then + do + if (k(p) > k(q)) cycle outer + s = p + p = l(p) + if (p <= 0) exit + end do + end if + ! otherwise, one sublist ended, and we append to it the rest + ! of the other one. + l(s) = q + s = t + do + t = q + q = l(q) + if (q <= 0) exit + end do + end if + + p = -p + q = -q + if (q == 0) then + l(s) = isign(p,l(s)) + l(t) = 0 + exit outer + end if + end do outer + end do mergepass + +end subroutine zamsort_up diff --git a/base/serial/aux/zamsr.f90 b/base/serial/aux/zamsr.f90 new file mode 100644 index 00000000..aeecebe7 --- /dev/null +++ b/base/serial/aux/zamsr.f90 @@ -0,0 +1,91 @@ +!!$ +!!$ Parallel Sparse BLAS v2.0 +!!$ (C) Copyright 2006 Salvatore Filippone University of Rome Tor Vergata +!!$ Alfredo Buttari University of Rome Tor Vergata +!!$ +!!$ Redistribution and use in source and binary forms, with or without +!!$ modification, are permitted provided that the following conditions +!!$ are met: +!!$ 1. Redistributions of source code must retain the above copyright +!!$ notice, this list of conditions and the following disclaimer. +!!$ 2. Redistributions in binary form must reproduce the above copyright +!!$ notice, this list of conditions, and the following disclaimer in the +!!$ documentation and/or other materials provided with the distribution. +!!$ 3. The name of the PSBLAS group or the names of its contributors may +!!$ not be used to endorse or promote products derived from this +!!$ software without specific written permission. +!!$ +!!$ THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +!!$ ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED +!!$ TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR +!!$ PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE PSBLAS GROUP OR ITS CONTRIBUTORS +!!$ BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR +!!$ CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF +!!$ SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS +!!$ INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN +!!$ CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) +!!$ ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +!!$ POSSIBILITY OF SUCH DAMAGE. +!!$ +!!$ +! File: imsr.f90 + ! Subroutine: + ! Parameters: +subroutine zamsr(n,x,idir) + use psb_serial_mod + implicit none + + integer :: n, idir + complex(kind(1.d0)) :: x(n) + + + integer, allocatable :: iaux(:) + + integer :: lswap, iret, info, lp, k + complex(kind(1.d0)) :: swap + + if (n<0) then +!!$ write(0,*) 'Error: IMSR: N<0' + return + endif + + if (n<=1) return + + allocate(iaux(0:n+1),stat=info) + if (info/=0) then + write(0,*) 'IMSR: memory allocation failed',info + return + endif + + if (idir==psb_asort_up_) then + call dmsort_up(n,x,iaux,iret) + else + call dmsort_dw(n,x,iaux,iret) + end if + + if (iret == 0) then + lp = iaux(0) + k = 1 + do + if ((lp==0).or.(k>n)) exit + do + if (lp >= k) exit + lp = iaux(lp) + end do + swap = x(lp) + x(lp) = x(k) + x(k) = swap + lswap = iaux(lp) + iaux(lp) = iaux(k) + iaux(k) = lp + lp = lswap + k = k + 1 + enddo + end if + + deallocate(iaux,stat=info) + if (info/=0) then + write(0,*) 'IMSR: memory deallocation failed',info + endif + return +end subroutine zamsr diff --git a/base/serial/aux/zamsrx.f90 b/base/serial/aux/zamsrx.f90 new file mode 100644 index 00000000..c18511d1 --- /dev/null +++ b/base/serial/aux/zamsrx.f90 @@ -0,0 +1,101 @@ +!!$ +!!$ Parallel Sparse BLAS v2.0 +!!$ (C) Copyright 2006 Salvatore Filippone University of Rome Tor Vergata +!!$ Alfredo Buttari University of Rome Tor Vergata +!!$ +!!$ Redistribution and use in source and binary forms, with or without +!!$ modification, are permitted provided that the following conditions +!!$ are met: +!!$ 1. Redistributions of source code must retain the above copyright +!!$ notice, this list of conditions and the following disclaimer. +!!$ 2. Redistributions in binary form must reproduce the above copyright +!!$ notice, this list of conditions, and the following disclaimer in the +!!$ documentation and/or other materials provided with the distribution. +!!$ 3. The name of the PSBLAS group or the names of its contributors may +!!$ not be used to endorse or promote products derived from this +!!$ software without specific written permission. +!!$ +!!$ THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS +!!$ ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED +!!$ TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR +!!$ PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE PSBLAS GROUP OR ITS CONTRIBUTORS +!!$ BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR +!!$ CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF +!!$ SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS +!!$ INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN +!!$ CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) +!!$ ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE +!!$ POSSIBILITY OF SUCH DAMAGE. +!!$ +!!$ +! File: imsrx.f90 + ! Subroutine: + ! Parameters: +subroutine zamsrx(n,x,indx,idir,flag) + use psb_serial_mod + implicit none + integer :: n,idir,flag + complex(kind(1.d0)) :: x(n) + integer :: indx(n) + + integer, allocatable :: iaux(:) + + integer :: iret, info, lp, k,lswap, ixswap + complex(kind(1.d0)) :: swap + + if (n<0) then + write(0,*) 'Error: DMSRX: N<0' + return + endif + + if (n==0) return + + if (flag == psb_sort_ovw_idx_) then + do k=1,n + indx(k) = k + enddo + end if + + if (n==1) return + + allocate(iaux(0:n+1),stat=info) + if (info/=0) then + write(0,*) 'DMSRX: memory allocation failed',info + return + endif + + if (idir == psb_asort_up_) then + call zamsort_up(n,x,iaux,iret) + else + call zamsort_dw(n,x,iaux,iret) + end if + + if (iret /= 1) then + lp = iaux(0) + k = 1 + do + if ((lp==0).or.(k>n)) exit + do + if (lp >= k) exit + lp = iaux(lp) + end do + swap = x(lp) + x(lp) = x(k) + x(k) = swap + ixswap = indx(lp) + indx(lp) = indx(k) + indx(k) = ixswap + lswap = iaux(lp) + iaux(lp) = iaux(k) + iaux(k) = lp + lp = lswap + k = k + 1 + enddo + end if + + deallocate(iaux,stat=info) + if (info/=0) then + write(0,*) 'DMSRX: memory deallocation failed',info + endif + return +end subroutine zamsrx diff --git a/docs/pdf/toolsrout.tex b/docs/pdf/toolsrout.tex index 323219f3..50dc9dad 100644 --- a/docs/pdf/toolsrout.tex +++ b/docs/pdf/toolsrout.tex @@ -1270,7 +1270,6 @@ An integer value; 0 means no error has been detected. - \subroutine{psb\_sizeof}{Memory occupation} This function computes the memory occupation of a PSBLAS object. @@ -1307,6 +1306,85 @@ Returned as: an integer number. \end{description} +\subroutine{}{Sorting utilities} + +\subroutine*{psb\_msort}{Sorting by the Merge-sort algorithm} +\subroutine*{psb\_qsort}{Sorting by the Quicksort algorithm} +\subroutine*{psb\_hsort}{Sorting by the Heapsort algorithm} +\syntax{call psb\_msort}{x,ix,dir,flag} +\syntax*{call psb\_qsort}{x,ix,dir,flag} +\syntax*{call psb\_hsort}{x,ix,dir,flag} + +These serial routines sort a sequence $X$ into ascending or +descending order. The argument meaning is identical for the three +calls; the only difference is the algorithm used to accomplish the +task (see Usage Notes below). +\begin{description} +\item[Type:] Asynchronous. +\item[\bf On Entry ] +\item[x] The sequence to be sorted.\\ +Type:{\bf required}.\\ +Specified as: an integer, real or complex array of rank 1. +\item[ix] A vector of indices.\\ +Type:{\bf optional}.\\ +Specified as: an integer array of (at least) the same size as $X$. +\item[dir] The desired ordering.\\ +Type:{\bf optional}.\\ +Specified as: an integer value: \verb|psb_sort_up_|, +\verb|psb_sort_down_|, \verb|psb_asort_up_|, \verb|psb_asort_down_|; +default \verb|psb_sort_up_|. +\item[flag] Whether to keep the original values in $IX$.\\ +Type:{\bf optional}.\\ +Specified as: an integer value \verb|psb_sort_ovw_idx_| or +\verb|psb_sort_keep_idx_|; default \verb|psb_sort_ovw_idx_|. + +\end{description} + +\begin{description} +\item[\bf On Return] +\item[x] The sequence of values, in the chosen ordering.\\ +Type:{\bf required}.\\ +Specified as: an integer, real or complex array of rank 1. +\item[ix] A vector of indices.\\ +Type: {\bf Optional} \\ +An integer array of rank 1, whose entries are moved to the same +position as the corresponding entries in $x$. +\end{description} +\section*{Usage notes} +\begin{enumerate} +\item The sorting can be performed in the up/down direction; for + complex data the sorting must be done on the absolute values; +\item 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 order as they had in the original + sequence, while this is not guaranteed for quicksort; +\item 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; +\item If $flag = psb\_sort\_keep\_idx\_$ the routine will assume that + the entries in $ix(:)$ have already been initialized by the user; +\item 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: +\begin{enumerate} +\item 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; +\item The worst case running time for merge-sort and heap-sort is + $O(n\log n)$ as the average case; +\item 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. +\end{enumerate} +\end{enumerate} + + %%% Local Variables: %%% mode: latex diff --git a/docs/pdf/util.tex b/docs/pdf/util.tex index 3359071d..32e144fd 100644 --- a/docs/pdf/util.tex +++ b/docs/pdf/util.tex @@ -5,77 +5,6 @@ We have some utitlities available for input and output of sparsematrices; the interfaces to these routines are available in the module \verb|psb_util_mod|. -%% \subroutine{}{Sorting utilities} - -%% \subroutine*{psb\_msort}{Sorting by the Merge-sort algorithm} -%% \subroutine*{psb\_qsort}{Sorting by the Quicksort algorithm} -%% \syntax{call psb\_msort}{x,ix,dir,flag} -%% \syntax*{call psb\_qsort}{x,ix,dir,flag} - -%% These serial routines sort a sequence $X$ into ascending or -%% descending order. The argument meaning is identical for the two -%% calls; the only difference is the algorithm used to accomplish the -%% task (see Usage Notes below). -%% \begin{description} -%% \item[\bf On Entry ] -%% \item[x] The sequence to be sorted.\\ -%% Type:{\bf required}.\\ -%% Specified as: an integer array of rank 1. -%% \item[ix] A vector of indices.\\ -%% Type:{\bf optional}.\\ -%% Specified as: an integer array of (at least) the same size as $X$. -%% \item[dir] The desired ordering.\\ -%% Type:{\bf optional}.\\ -%% Specified as: an integer value \verb|psb_sort_up_| or -%% \verb|psb_sort_down_|; default \verb|psb_sort_up_|. -%% \item[flag] Whether to keep the original values in $IX$.\\ -%% Type:{\bf optional}.\\ -%% Specified as: an integer value \verb|psb_sort_ovw_idx_| or -%% \verb|psb_sort_keep_idx_|; default \verb|psb_sort_ovw_idx_|. - -%% \end{description} - -%% \begin{description} -%% \item[\bf On Return] -%% \item[x] The sequence of values, in the chosen ordering.\\ -%% Type:{\bf required}.\\ -%% Specified as: an integer array of rank 1. -%% \item[ix] A vector of indices.\\ -%% Type: {\bf Optional} \\ -%% An integer array of rank 1, whose entries are moved to the same -%% position as the corresponding entries in $x$. -%% \end{description} -%% \section*{Usage notes} -%% \begin{enumerate} -%% \item The two routines return the items in the chosen ordering; the -%% only 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 order as they had in the original -%% sequence, while this is not guaranteed for quicksort -%% \item 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; -%% \item If $flag = psb\_sort\_keep\_idx\_$ the routine will assume that -%% the entries in $ix(:)$ have already been initialized by the user; -%% \item The two sorting algorithms have a similar $O(n \log n)$ expected -%% running time; in the average case quicksort will be the -%% fastest. However note that: -%% \begin{enumerate} -%% \item 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; -%% \item The worst case running time for merge-sort is the same as the -%% average case; -%% \item The merge-sort algorithm is implemented to take advantage of -%% subsequences that may be already in the desired ordering at the -%% beginning; this situation is relatively common when dealing with -%% indices of sparse matrix entries, thus merge-sort is the -%% preferred choice when a sorting is needed by other routines in the -%% library. -%% \end{enumerate} -%% \end{enumerate} %\subroutine{PSB\_HBIO\_MOD}{Input/Output in Harwell-Boeing format} diff --git a/docs/userguide.pdf b/docs/userguide.pdf index 409699ab..6cf6f8d5 100644 --- a/docs/userguide.pdf +++ b/docs/userguide.pdf @@ -390,214 +390,237 @@ endobj (psb\137sizeof) endobj 265 0 obj -<< /S /GoTo /D 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680.4604 Td[(cdin)1(s)]TJ +/F8 9.9626 Tf 184.2347 679.3894 Td[(cdin)1(s)]TJ ET -1 0 0 1 206.4293 680.4604 cm +1 0 0 1 206.4293 679.3894 cm 0 g 0 G -1 0 0 1 -206.4293 -680.4604 cm +1 0 0 1 -206.4293 -679.3894 cm BT -/F8 9.9626 Tf 215.1843 680.4604 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)]TJ +/F8 9.9626 Tf 215.1843 679.3894 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)]TJ ET -1 0 0 1 484.4533 680.4604 cm +1 0 0 1 484.4533 679.3894 cm 0 g 0 G -1 0 0 1 -484.4533 -680.4604 cm +1 0 0 1 -484.4533 -679.3894 cm BT -/F8 9.9626 Tf 484.4533 680.4604 Td[(59)]TJ +/F8 9.9626 Tf 484.4533 679.3894 Td[(59)]TJ ET -1 0 0 1 494.4159 680.4604 cm +1 0 0 1 494.4159 679.3894 cm 0 g 0 G -1 0 0 1 -328.7671 -12.8342 cm +1 0 0 1 -328.7671 -13.3697 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -165.6488 -667.6262 cm +1 0 0 1 -165.6488 -666.0197 cm BT -/F8 9.9626 Tf 165.6488 667.6262 Td[(psb)]TJ +/F8 9.9626 Tf 165.6488 666.0197 Td[(psb)]TJ ET -1 0 0 1 181.2459 667.6262 cm +1 0 0 1 181.2459 666.0197 cm q []0 d 0 J @@ -2586,31 +2609,31 @@ q 2.9888 0.1992 l S Q -1 0 0 1 -181.2459 -667.6262 cm +1 0 0 1 -181.2459 -666.0197 cm BT -/F8 9.9626 Tf 184.2347 667.6262 Td[(cdasb)]TJ +/F8 9.9626 Tf 184.2347 666.0197 Td[(cdasb)]TJ ET -1 0 0 1 208.6432 667.6262 cm +1 0 0 1 208.6432 666.0197 cm 0 g 0 G -1 0 0 1 -208.6432 -667.6262 cm +1 0 0 1 -208.6432 -666.0197 cm BT -/F8 9.9626 Tf 215.1843 667.6262 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)]TJ +/F8 9.9626 Tf 215.1843 666.0197 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)]TJ ET -1 0 0 1 484.4533 667.6262 cm +1 0 0 1 484.4533 666.0197 cm 0 g 0 G -1 0 0 1 -484.4533 -667.6262 cm +1 0 0 1 -484.4533 -666.0197 cm BT -/F8 9.9626 Tf 484.4533 667.6262 Td[(61)]TJ +/F8 9.9626 Tf 484.4533 666.0197 Td[(61)]TJ ET -1 0 0 1 494.4159 667.6262 cm +1 0 0 1 494.4159 666.0197 cm 0 g 0 G -1 0 0 1 -328.7671 -12.8342 cm +1 0 0 1 -328.7671 -13.3697 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -165.6488 -654.792 cm +1 0 0 1 -165.6488 -652.65 cm BT -/F8 9.9626 Tf 165.6488 654.792 Td[(psb)]TJ +/F8 9.9626 Tf 165.6488 652.65 Td[(psb)]TJ ET -1 0 0 1 181.2459 654.792 cm +1 0 0 1 181.2459 652.65 cm q []0 d 0 J @@ -2619,31 +2642,31 @@ q 2.9888 0.1992 l S Q -1 0 0 1 -181.2459 -654.792 cm +1 0 0 1 -181.2459 -652.65 cm BT -/F8 9.9626 Tf 184.2347 654.792 Td[(cdcp)28(y)]TJ +/F8 9.9626 Tf 184.2347 652.65 Td[(cdcp)28(y)]TJ ET -1 0 0 1 209.1414 654.792 cm +1 0 0 1 209.1414 652.65 cm 0 g 0 G -1 0 0 1 -209.1414 -654.792 cm +1 0 0 1 -209.1414 -652.65 cm BT -/F8 9.9626 Tf 215.1843 654.792 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)]TJ +/F8 9.9626 Tf 215.1843 652.65 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)]TJ ET -1 0 0 1 484.4533 654.792 cm +1 0 0 1 484.4533 652.65 cm 0 g 0 G -1 0 0 1 -484.4533 -654.792 cm +1 0 0 1 -484.4533 -652.65 cm BT -/F8 9.9626 Tf 484.4533 654.792 Td[(62)]TJ +/F8 9.9626 Tf 484.4533 652.65 Td[(62)]TJ ET -1 0 0 1 494.4159 654.792 cm +1 0 0 1 494.4159 652.65 cm 0 g 0 G -1 0 0 1 -328.7671 -12.8342 cm +1 0 0 1 -328.7671 -13.3697 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -165.6488 -641.9578 cm +1 0 0 1 -165.6488 -639.2803 cm BT -/F8 9.9626 Tf 165.6488 641.9578 Td[(psb)]TJ +/F8 9.9626 Tf 165.6488 639.2803 Td[(psb)]TJ ET -1 0 0 1 181.2459 641.9578 cm +1 0 0 1 181.2459 639.2803 cm q []0 d 0 J @@ -2652,31 +2675,31 @@ q 2.9888 0.1992 l S Q -1 0 0 1 -181.2459 -641.9578 cm +1 0 0 1 -181.2459 -639.2803 cm BT -/F8 9.9626 Tf 184.2347 641.9578 Td[(cdfr)1(e)-1(e)]TJ +/F8 9.9626 Tf 184.2347 639.2803 Td[(cdfr)1(e)-1(e)]TJ ET -1 0 0 1 209.9993 641.9578 cm +1 0 0 1 209.9993 639.2803 cm 0 g 0 G -1 0 0 1 -209.9993 -641.9578 cm +1 0 0 1 -209.9993 -639.2803 cm BT -/F8 9.9626 Tf 215.1843 641.9578 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)]TJ +/F8 9.9626 Tf 215.1843 639.2803 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)]TJ ET -1 0 0 1 484.4533 641.9578 cm +1 0 0 1 484.4533 639.2803 cm 0 g 0 G -1 0 0 1 -484.4533 -641.9578 cm +1 0 0 1 -484.4533 -639.2803 cm BT -/F8 9.9626 Tf 484.4533 641.9578 Td[(63)]TJ +/F8 9.9626 Tf 484.4533 639.2803 Td[(63)]TJ ET -1 0 0 1 494.4159 641.9578 cm +1 0 0 1 494.4159 639.2803 cm 0 g 0 G -1 0 0 1 -328.7671 -12.8343 cm +1 0 0 1 -328.7671 -13.3697 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -165.6488 -629.1235 cm +1 0 0 1 -165.6488 -625.9106 cm BT -/F8 9.9626 Tf 165.6488 629.1235 Td[(psb)]TJ +/F8 9.9626 Tf 165.6488 625.9106 Td[(psb)]TJ ET -1 0 0 1 181.2459 629.1235 cm +1 0 0 1 181.2459 625.9106 cm q []0 d 0 J @@ -2685,31 +2708,31 @@ q 2.9888 0.1992 l S Q -1 0 0 1 -181.2459 -629.1235 cm +1 0 0 1 -181.2459 -625.9106 cm BT -/F8 9.9626 Tf 184.2347 629.1235 Td[(cdbl)1(dext)]TJ +/F8 9.9626 Tf 184.2347 625.9106 Td[(cdbl)1(dext)]TJ ET -1 0 0 1 221.5947 629.1235 cm +1 0 0 1 221.5947 625.9106 cm 0 g 0 G -1 0 0 1 -221.5947 -629.1235 cm +1 0 0 1 -221.5947 -625.9106 cm BT -/F8 9.9626 Tf 230.6815 629.1235 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)]TJ +/F8 9.9626 Tf 230.6815 625.9106 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)]TJ ET -1 0 0 1 484.4533 629.1235 cm +1 0 0 1 484.4533 625.9106 cm 0 g 0 G -1 0 0 1 -484.4533 -629.1235 cm +1 0 0 1 -484.4533 -625.9106 cm BT -/F8 9.9626 Tf 484.4533 629.1235 Td[(64)]TJ +/F8 9.9626 Tf 484.4533 625.9106 Td[(64)]TJ ET -1 0 0 1 494.4159 629.1235 cm +1 0 0 1 494.4159 625.9106 cm 0 g 0 G -1 0 0 1 -328.7671 -12.8342 cm +1 0 0 1 -328.7671 -13.3697 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -165.6488 -616.2893 cm +1 0 0 1 -165.6488 -612.5409 cm BT -/F8 9.9626 Tf 165.6488 616.2893 Td[(psb)]TJ +/F8 9.9626 Tf 165.6488 612.5409 Td[(psb)]TJ ET -1 0 0 1 181.2459 616.2893 cm +1 0 0 1 181.2459 612.5409 cm q []0 d 0 J @@ -2718,31 +2741,31 @@ q 2.9888 0.1992 l S Q -1 0 0 1 -181.2459 -616.2893 cm +1 0 0 1 -181.2459 -612.5409 cm BT -/F8 9.9626 Tf 184.2347 616.2893 Td[(spall)]TJ +/F8 9.9626 Tf 184.2347 612.5409 Td[(spall)]TJ ET -1 0 0 1 204.2154 616.2893 cm +1 0 0 1 204.2154 612.5409 cm 0 g 0 G -1 0 0 1 -204.2154 -616.2893 cm +1 0 0 1 -204.2154 -612.5409 cm BT -/F8 9.9626 Tf 207.4357 616.2893 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)]TJ +/F8 9.9626 Tf 207.4357 612.5409 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)]TJ ET -1 0 0 1 484.4533 616.2893 cm +1 0 0 1 484.4533 612.5409 cm 0 g 0 G -1 0 0 1 -484.4533 -616.2893 cm +1 0 0 1 -484.4533 -612.5409 cm BT -/F8 9.9626 Tf 484.4533 616.2893 Td[(66)]TJ +/F8 9.9626 Tf 484.4533 612.5409 Td[(66)]TJ ET -1 0 0 1 494.4159 616.2893 cm +1 0 0 1 494.4159 612.5409 cm 0 g 0 G -1 0 0 1 -328.7671 -12.8342 cm +1 0 0 1 -328.7671 -13.3697 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -165.6488 -603.4551 cm +1 0 0 1 -165.6488 -599.1712 cm BT -/F8 9.9626 Tf 165.6488 603.4551 Td[(psb)]TJ +/F8 9.9626 Tf 165.6488 599.1712 Td[(psb)]TJ ET -1 0 0 1 181.2459 603.4551 cm +1 0 0 1 181.2459 599.1712 cm q []0 d 0 J @@ -2751,31 +2774,31 @@ q 2.9888 0.1992 l S Q -1 0 0 1 -181.2459 -603.4551 cm +1 0 0 1 -181.2459 -599.1712 cm BT -/F8 9.9626 Tf 184.2347 603.4551 Td[(spin)1(s)]TJ +/F8 9.9626 Tf 184.2347 599.1712 Td[(spin)1(s)]TJ ET -1 0 0 1 205.9312 603.4551 cm +1 0 0 1 205.9312 599.1712 cm 0 g 0 G -1 0 0 1 -205.9312 -603.4551 cm +1 0 0 1 -205.9312 -599.1712 cm BT -/F8 9.9626 Tf 215.1843 603.4551 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)]TJ +/F8 9.9626 Tf 215.1843 599.1712 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)]TJ ET -1 0 0 1 484.4533 603.4551 cm +1 0 0 1 484.4533 599.1712 cm 0 g 0 G -1 0 0 1 -484.4533 -603.4551 cm +1 0 0 1 -484.4533 -599.1712 cm BT -/F8 9.9626 Tf 484.4533 603.4551 Td[(67)]TJ +/F8 9.9626 Tf 484.4533 599.1712 Td[(67)]TJ ET -1 0 0 1 494.4159 603.4551 cm +1 0 0 1 494.4159 599.1712 cm 0 g 0 G -1 0 0 1 -328.7671 -12.8342 cm +1 0 0 1 -328.7671 -13.3697 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -165.6488 -590.6209 cm +1 0 0 1 -165.6488 -585.8015 cm BT -/F8 9.9626 Tf 165.6488 590.6209 Td[(psb)]TJ +/F8 9.9626 Tf 165.6488 585.8015 Td[(psb)]TJ ET -1 0 0 1 181.2459 590.6209 cm +1 0 0 1 181.2459 585.8015 cm q []0 d 0 J @@ -2784,31 +2807,31 @@ q 2.9888 0.1992 l S Q -1 0 0 1 -181.2459 -590.6209 cm +1 0 0 1 -181.2459 -585.8015 cm BT -/F8 9.9626 Tf 184.2347 590.6209 Td[(spasb)]TJ +/F8 9.9626 Tf 184.2347 585.8015 Td[(spasb)]TJ ET -1 0 0 1 208.1451 590.6209 cm +1 0 0 1 208.1451 585.8015 cm 0 g 0 G -1 0 0 1 -208.1451 -590.6209 cm +1 0 0 1 -208.1451 -585.8015 cm BT -/F8 9.9626 Tf 215.1843 590.6209 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)]TJ +/F8 9.9626 Tf 215.1843 585.8015 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)]TJ ET -1 0 0 1 484.4533 590.6209 cm +1 0 0 1 484.4533 585.8015 cm 0 g 0 G -1 0 0 1 -484.4533 -590.6209 cm +1 0 0 1 -484.4533 -585.8015 cm BT -/F8 9.9626 Tf 484.4533 590.6209 Td[(69)]TJ +/F8 9.9626 Tf 484.4533 585.8015 Td[(69)]TJ ET -1 0 0 1 494.4159 590.6209 cm +1 0 0 1 494.4159 585.8015 cm 0 g 0 G -1 0 0 1 -328.7671 -12.8342 cm +1 0 0 1 -328.7671 -13.3697 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -165.6488 -577.7867 cm +1 0 0 1 -165.6488 -572.4318 cm BT -/F8 9.9626 Tf 165.6488 577.7867 Td[(psb)]TJ +/F8 9.9626 Tf 165.6488 572.4318 Td[(psb)]TJ ET -1 0 0 1 181.2459 577.7867 cm +1 0 0 1 181.2459 572.4318 cm q []0 d 0 J @@ -2817,31 +2840,31 @@ q 2.9888 0.1992 l S Q -1 0 0 1 -181.2459 -577.7867 cm +1 0 0 1 -181.2459 -572.4318 cm BT -/F8 9.9626 Tf 184.2347 577.7867 Td[(spfr)1(e)-1(e)]TJ +/F8 9.9626 Tf 184.2347 572.4318 Td[(spfr)1(e)-1(e)]TJ ET -1 0 0 1 209.5011 577.7867 cm +1 0 0 1 209.5011 572.4318 cm 0 g 0 G -1 0 0 1 -209.5011 -577.7867 cm +1 0 0 1 -209.5011 -572.4318 cm BT -/F8 9.9626 Tf 215.1843 577.7867 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)]TJ +/F8 9.9626 Tf 215.1843 572.4318 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)]TJ ET -1 0 0 1 484.4533 577.7867 cm +1 0 0 1 484.4533 572.4318 cm 0 g 0 G -1 0 0 1 -484.4533 -577.7867 cm +1 0 0 1 -484.4533 -572.4318 cm BT -/F8 9.9626 Tf 484.4533 577.7867 Td[(71)]TJ +/F8 9.9626 Tf 484.4533 572.4318 Td[(71)]TJ ET -1 0 0 1 494.4159 577.7867 cm +1 0 0 1 494.4159 572.4318 cm 0 g 0 G -1 0 0 1 -328.7671 -12.8343 cm +1 0 0 1 -328.7671 -13.3697 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -165.6488 -564.9524 cm +1 0 0 1 -165.6488 -559.0621 cm BT -/F8 9.9626 Tf 165.6488 564.9524 Td[(psb)]TJ +/F8 9.9626 Tf 165.6488 559.0621 Td[(psb)]TJ ET -1 0 0 1 181.2459 564.9524 cm +1 0 0 1 181.2459 559.0621 cm q []0 d 0 J @@ -2850,31 +2873,31 @@ q 2.9888 0.1992 l S Q -1 0 0 1 -181.2459 -564.9524 cm +1 0 0 1 -181.2459 -559.0621 cm BT -/F8 9.9626 Tf 184.2347 564.9524 Td[(sprn)]TJ +/F8 9.9626 Tf 184.2347 559.0621 Td[(sprn)]TJ ET -1 0 0 1 203.1361 564.9524 cm +1 0 0 1 203.1361 559.0621 cm 0 g 0 G -1 0 0 1 -203.1361 -564.9524 cm +1 0 0 1 -203.1361 -559.0621 cm BT -/F8 9.9626 Tf 207.4357 564.9524 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)]TJ +/F8 9.9626 Tf 207.4357 559.0621 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)]TJ ET -1 0 0 1 484.4533 564.9524 cm +1 0 0 1 484.4533 559.0621 cm 0 g 0 G -1 0 0 1 -484.4533 -564.9524 cm +1 0 0 1 -484.4533 -559.0621 cm BT -/F8 9.9626 Tf 484.4533 564.9524 Td[(72)]TJ +/F8 9.9626 Tf 484.4533 559.0621 Td[(72)]TJ ET -1 0 0 1 494.4159 564.9524 cm +1 0 0 1 494.4159 559.0621 cm 0 g 0 G -1 0 0 1 -328.7671 -12.8342 cm +1 0 0 1 -328.7671 -13.3697 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -165.6488 -552.1182 cm +1 0 0 1 -165.6488 -545.6923 cm BT -/F8 9.9626 Tf 165.6488 552.1182 Td[(psb)]TJ +/F8 9.9626 Tf 165.6488 545.6923 Td[(psb)]TJ ET -1 0 0 1 181.2459 552.1182 cm +1 0 0 1 181.2459 545.6923 cm q []0 d 0 J @@ -2883,31 +2906,31 @@ q 2.9888 0.1992 l S Q -1 0 0 1 -181.2459 -552.1182 cm +1 0 0 1 -181.2459 -545.6923 cm BT -/F8 9.9626 Tf 184.2347 552.1182 Td[(geall)]TJ +/F8 9.9626 Tf 184.2347 545.6923 Td[(geall)]TJ ET -1 0 0 1 204.1601 552.1182 cm +1 0 0 1 204.1601 545.6923 cm 0 g 0 G -1 0 0 1 -204.1601 -552.1182 cm +1 0 0 1 -204.1601 -545.6923 cm BT -/F8 9.9626 Tf 207.4357 552.1182 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)]TJ +/F8 9.9626 Tf 207.4357 545.6923 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)]TJ ET -1 0 0 1 484.4533 552.1182 cm +1 0 0 1 484.4533 545.6923 cm 0 g 0 G -1 0 0 1 -484.4533 -552.1182 cm +1 0 0 1 -484.4533 -545.6923 cm BT -/F8 9.9626 Tf 484.4533 552.1182 Td[(73)]TJ +/F8 9.9626 Tf 484.4533 545.6923 Td[(73)]TJ ET -1 0 0 1 494.4159 552.1182 cm +1 0 0 1 494.4159 545.6923 cm 0 g 0 G -1 0 0 1 -328.7671 -12.8342 cm +1 0 0 1 -328.7671 -13.3697 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -165.6488 -539.284 cm +1 0 0 1 -165.6488 -532.3226 cm BT -/F8 9.9626 Tf 165.6488 539.284 Td[(psb)]TJ +/F8 9.9626 Tf 165.6488 532.3226 Td[(psb)]TJ ET -1 0 0 1 181.2459 539.284 cm +1 0 0 1 181.2459 532.3226 cm q []0 d 0 J @@ -2916,31 +2939,31 @@ q 2.9888 0.1992 l S Q -1 0 0 1 -181.2459 -539.284 cm +1 0 0 1 -181.2459 -532.3226 cm BT -/F8 9.9626 Tf 184.2347 539.284 Td[(geins)]TJ +/F8 9.9626 Tf 184.2347 532.3226 Td[(geins)]TJ ET -1 0 0 1 205.8758 539.284 cm +1 0 0 1 205.8758 532.3226 cm 0 g 0 G -1 0 0 1 -205.8758 -539.284 cm +1 0 0 1 -205.8758 -532.3226 cm BT -/F8 9.9626 Tf 215.1843 539.284 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)]TJ +/F8 9.9626 Tf 215.1843 532.3226 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)]TJ ET -1 0 0 1 484.4533 539.284 cm +1 0 0 1 484.4533 532.3226 cm 0 g 0 G -1 0 0 1 -484.4533 -539.284 cm +1 0 0 1 -484.4533 -532.3226 cm BT -/F8 9.9626 Tf 484.4533 539.284 Td[(74)]TJ +/F8 9.9626 Tf 484.4533 532.3226 Td[(74)]TJ ET -1 0 0 1 494.4159 539.284 cm +1 0 0 1 494.4159 532.3226 cm 0 g 0 G -1 0 0 1 -328.7671 -12.8343 cm +1 0 0 1 -328.7671 -13.3697 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -165.6488 -526.4497 cm +1 0 0 1 -165.6488 -518.9529 cm BT -/F8 9.9626 Tf 165.6488 526.4497 Td[(psb)]TJ +/F8 9.9626 Tf 165.6488 518.9529 Td[(psb)]TJ ET -1 0 0 1 181.2459 526.4497 cm +1 0 0 1 181.2459 518.9529 cm q []0 d 0 J @@ -2949,31 +2972,31 @@ q 2.9888 0.1992 l S Q -1 0 0 1 -181.2459 -526.4497 cm +1 0 0 1 -181.2459 -518.9529 cm BT -/F8 9.9626 Tf 184.2347 526.4497 Td[(geas)-1(b)]TJ +/F8 9.9626 Tf 184.2347 518.9529 Td[(geas)-1(b)]TJ ET -1 0 0 1 208.0898 526.4497 cm +1 0 0 1 208.0898 518.9529 cm 0 g 0 G -1 0 0 1 -208.0898 -526.4497 cm +1 0 0 1 -208.0898 -518.9529 cm BT -/F8 9.9626 Tf 215.1843 526.4497 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)]TJ +/F8 9.9626 Tf 215.1843 518.9529 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)]TJ ET -1 0 0 1 484.4533 526.4497 cm +1 0 0 1 484.4533 518.9529 cm 0 g 0 G -1 0 0 1 -484.4533 -526.4497 cm +1 0 0 1 -484.4533 -518.9529 cm BT -/F8 9.9626 Tf 484.4533 526.4497 Td[(76)]TJ +/F8 9.9626 Tf 484.4533 518.9529 Td[(76)]TJ ET -1 0 0 1 494.4159 526.4497 cm +1 0 0 1 494.4159 518.9529 cm 0 g 0 G -1 0 0 1 -328.7671 -12.8342 cm +1 0 0 1 -328.7671 -13.3697 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -165.6488 -513.6155 cm +1 0 0 1 -165.6488 -505.5832 cm BT -/F8 9.9626 Tf 165.6488 513.6155 Td[(psb)]TJ +/F8 9.9626 Tf 165.6488 505.5832 Td[(psb)]TJ ET -1 0 0 1 181.2459 513.6155 cm +1 0 0 1 181.2459 505.5832 cm q []0 d 0 J @@ -2982,31 +3005,31 @@ q 2.9888 0.1992 l S Q -1 0 0 1 -181.2459 -513.6155 cm +1 0 0 1 -181.2459 -505.5832 cm BT -/F8 9.9626 Tf 184.2347 513.6155 Td[(gefree)]TJ +/F8 9.9626 Tf 184.2347 505.5832 Td[(gefree)]TJ ET -1 0 0 1 209.4458 513.6155 cm +1 0 0 1 209.4458 505.5832 cm 0 g 0 G -1 0 0 1 -209.4458 -513.6155 cm +1 0 0 1 -209.4458 -505.5832 cm BT -/F8 9.9626 Tf 215.1843 513.6155 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)]TJ +/F8 9.9626 Tf 215.1843 505.5832 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)]TJ ET -1 0 0 1 484.4533 513.6155 cm +1 0 0 1 484.4533 505.5832 cm 0 g 0 G -1 0 0 1 -484.4533 -513.6155 cm +1 0 0 1 -484.4533 -505.5832 cm BT -/F8 9.9626 Tf 484.4533 513.6155 Td[(77)]TJ +/F8 9.9626 Tf 484.4533 505.5832 Td[(77)]TJ ET -1 0 0 1 494.4159 513.6155 cm +1 0 0 1 494.4159 505.5832 cm 0 g 0 G -1 0 0 1 -328.7671 -12.8342 cm +1 0 0 1 -328.7671 -13.3697 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -165.6488 -500.7813 cm +1 0 0 1 -165.6488 -492.2135 cm BT -/F8 9.9626 Tf 165.6488 500.7813 Td[(psb)]TJ +/F8 9.9626 Tf 165.6488 492.2135 Td[(psb)]TJ ET -1 0 0 1 181.2459 500.7813 cm +1 0 0 1 181.2459 492.2135 cm q []0 d 0 J @@ -3015,31 +3038,31 @@ q 2.9888 0.1992 l S Q -1 0 0 1 -181.2459 -500.7813 cm +1 0 0 1 -181.2459 -492.2135 cm BT -/F8 9.9626 Tf 184.2347 500.7813 Td[(gelp)]TJ +/F8 9.9626 Tf 184.2347 492.2135 Td[(gelp)]TJ ET -1 0 0 1 201.9461 500.7813 cm +1 0 0 1 201.9461 492.2135 cm 0 g 0 G -1 0 0 1 -201.9461 -500.7813 cm +1 0 0 1 -201.9461 -492.2135 cm BT -/F8 9.9626 Tf 207.4357 500.7813 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)]TJ +/F8 9.9626 Tf 207.4357 492.2135 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)]TJ ET -1 0 0 1 484.4533 500.7813 cm +1 0 0 1 484.4533 492.2135 cm 0 g 0 G -1 0 0 1 -484.4533 -500.7813 cm +1 0 0 1 -484.4533 -492.2135 cm BT -/F8 9.9626 Tf 484.4533 500.7813 Td[(78)]TJ +/F8 9.9626 Tf 484.4533 492.2135 Td[(78)]TJ ET -1 0 0 1 494.4159 500.7813 cm +1 0 0 1 494.4159 492.2135 cm 0 g 0 G -1 0 0 1 -328.7671 -12.8342 cm +1 0 0 1 -328.7671 -13.3697 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -165.6488 -487.9471 cm +1 0 0 1 -165.6488 -478.8438 cm BT -/F8 9.9626 Tf 165.6488 487.9471 Td[(psb)]TJ +/F8 9.9626 Tf 165.6488 478.8438 Td[(psb)]TJ ET -1 0 0 1 181.2459 487.9471 cm +1 0 0 1 181.2459 478.8438 cm q []0 d 0 J @@ -3048,11 +3071,11 @@ q 2.9888 0.1992 l S Q -1 0 0 1 -181.2459 -487.9471 cm +1 0 0 1 -181.2459 -478.8438 cm BT -/F8 9.9626 Tf 184.2347 487.9471 Td[(glob)]TJ +/F8 9.9626 Tf 184.2347 478.8438 Td[(glob)]TJ ET -1 0 0 1 203.0974 487.9471 cm +1 0 0 1 203.0974 478.8438 cm q []0 d 0 J @@ -3061,11 +3084,11 @@ q 2.9888 0.1992 l S Q -1 0 0 1 -203.0974 -487.9471 cm +1 0 0 1 -203.0974 -478.8438 cm BT -/F8 9.9626 Tf 206.0862 487.9471 Td[(to)]TJ +/F8 9.9626 Tf 206.0862 478.8438 Td[(to)]TJ ET -1 0 0 1 215.5396 487.9471 cm +1 0 0 1 215.5396 478.8438 cm q []0 d 0 J @@ -3074,31 +3097,31 @@ q 2.9888 0.1992 l S Q -1 0 0 1 -215.5396 -487.9471 cm +1 0 0 1 -215.5396 -478.8438 cm BT -/F8 9.9626 Tf 218.5284 487.9471 Td[(lo)-28(c)]TJ +/F8 9.9626 Tf 218.5284 478.8438 Td[(lo)-28(c)]TJ ET -1 0 0 1 230.9818 487.9471 cm +1 0 0 1 230.9818 478.8438 cm 0 g 0 G -1 0 0 1 -230.9818 -487.9471 cm +1 0 0 1 -230.9818 -478.8438 cm BT -/F8 9.9626 Tf 238.4301 487.9471 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)]TJ +/F8 9.9626 Tf 238.4301 478.8438 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)]TJ ET -1 0 0 1 484.4533 487.9471 cm +1 0 0 1 484.4533 478.8438 cm 0 g 0 G -1 0 0 1 -484.4533 -487.9471 cm +1 0 0 1 -484.4533 -478.8438 cm BT -/F8 9.9626 Tf 484.4533 487.9471 Td[(79)]TJ +/F8 9.9626 Tf 484.4533 478.8438 Td[(79)]TJ ET -1 0 0 1 494.4159 487.9471 cm +1 0 0 1 494.4159 478.8438 cm 0 g 0 G -1 0 0 1 -328.7671 -12.8343 cm +1 0 0 1 -328.7671 -13.3697 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -165.6488 -475.1128 cm +1 0 0 1 -165.6488 -465.4741 cm BT -/F8 9.9626 Tf 165.6488 475.1128 Td[(psb)]TJ +/F8 9.9626 Tf 165.6488 465.4741 Td[(psb)]TJ ET -1 0 0 1 181.2459 475.1128 cm +1 0 0 1 181.2459 465.4741 cm q []0 d 0 J @@ -3107,11 +3130,11 @@ q 2.9888 0.1992 l S Q -1 0 0 1 -181.2459 -475.1128 cm +1 0 0 1 -181.2459 -465.4741 cm BT -/F8 9.9626 Tf 184.2347 475.1128 Td[(lo)-28(c)]TJ +/F8 9.9626 Tf 184.2347 465.4741 Td[(lo)-28(c)]TJ ET -1 0 0 1 197.2858 475.1128 cm +1 0 0 1 197.2858 465.4741 cm q []0 d 0 J @@ -3120,11 +3143,11 @@ q 2.9888 0.1992 l S Q -1 0 0 1 -197.2858 -475.1128 cm +1 0 0 1 -197.2858 -465.4741 cm BT -/F8 9.9626 Tf 200.2746 475.1128 Td[(to)]TJ +/F8 9.9626 Tf 200.2746 465.4741 Td[(to)]TJ ET -1 0 0 1 209.7281 475.1128 cm +1 0 0 1 209.7281 465.4741 cm q []0 d 0 J @@ -3133,31 +3156,31 @@ q 2.9888 0.1992 l S Q -1 0 0 1 -209.7281 -475.1128 cm +1 0 0 1 -209.7281 -465.4741 cm BT -/F8 9.9626 Tf 212.7169 475.1128 Td[(glob)]TJ +/F8 9.9626 Tf 212.7169 465.4741 Td[(glob)]TJ ET -1 0 0 1 230.9818 475.1128 cm +1 0 0 1 230.9818 465.4741 cm 0 g 0 G -1 0 0 1 -230.9818 -475.1128 cm +1 0 0 1 -230.9818 -465.4741 cm BT -/F8 9.9626 Tf 238.4301 475.1128 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)]TJ +/F8 9.9626 Tf 238.4301 465.4741 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)]TJ ET -1 0 0 1 484.4533 475.1128 cm +1 0 0 1 484.4533 465.4741 cm 0 g 0 G -1 0 0 1 -484.4533 -475.1128 cm +1 0 0 1 -484.4533 -465.4741 cm BT -/F8 9.9626 Tf 484.4533 475.1128 Td[(81)]TJ +/F8 9.9626 Tf 484.4533 465.4741 Td[(81)]TJ ET -1 0 0 1 494.4159 475.1128 cm +1 0 0 1 494.4159 465.4741 cm 0 g 0 G -1 0 0 1 -328.7671 -12.8342 cm +1 0 0 1 -328.7671 -13.3697 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -165.6488 -462.2786 cm +1 0 0 1 -165.6488 -452.1044 cm BT -/F8 9.9626 Tf 165.6488 462.2786 Td[(psb)]TJ +/F8 9.9626 Tf 165.6488 452.1044 Td[(psb)]TJ ET -1 0 0 1 181.2459 462.2786 cm +1 0 0 1 181.2459 452.1044 cm q []0 d 0 J @@ -3166,11 +3189,11 @@ q 2.9888 0.1992 l S Q -1 0 0 1 -181.2459 -462.2786 cm +1 0 0 1 -181.2459 -452.1044 cm BT -/F8 9.9626 Tf 184.2347 462.2786 Td[(get)]TJ +/F8 9.9626 Tf 184.2347 452.1044 Td[(get)]TJ ET -1 0 0 1 198.116 462.2786 cm +1 0 0 1 198.116 452.1044 cm q []0 d 0 J @@ -3179,31 +3202,31 @@ q 2.9888 0.1992 l S Q -1 0 0 1 -198.116 -462.2786 cm +1 0 0 1 -198.116 -452.1044 cm BT -/F8 9.9626 Tf 201.1048 462.2786 Td[(b)-27(oun)1(dary)]TJ +/F8 9.9626 Tf 201.1048 452.1044 Td[(b)-27(oun)1(dary)]TJ ET -1 0 0 1 242.6436 462.2786 cm +1 0 0 1 242.6436 452.1044 cm 0 g 0 G -1 0 0 1 -242.6436 -462.2786 cm +1 0 0 1 -242.6436 -452.1044 cm BT -/F8 9.9626 Tf 246.1787 462.2786 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)]TJ +/F8 9.9626 Tf 246.1787 452.1044 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)]TJ ET -1 0 0 1 484.4533 462.2786 cm +1 0 0 1 484.4533 452.1044 cm 0 g 0 G -1 0 0 1 -484.4533 -462.2786 cm +1 0 0 1 -484.4533 -452.1044 cm BT -/F8 9.9626 Tf 484.4533 462.2786 Td[(82)]TJ +/F8 9.9626 Tf 484.4533 452.1044 Td[(82)]TJ ET -1 0 0 1 494.4159 462.2786 cm +1 0 0 1 494.4159 452.1044 cm 0 g 0 G -1 0 0 1 -328.7671 -12.8342 cm +1 0 0 1 -328.7671 -13.3697 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -165.6488 -449.4444 cm +1 0 0 1 -165.6488 -438.7347 cm BT -/F8 9.9626 Tf 165.6488 449.4444 Td[(psb)]TJ +/F8 9.9626 Tf 165.6488 438.7347 Td[(psb)]TJ ET -1 0 0 1 181.2459 449.4444 cm +1 0 0 1 181.2459 438.7347 cm q []0 d 0 J @@ -3212,11 +3235,11 @@ q 2.9888 0.1992 l S Q -1 0 0 1 -181.2459 -449.4444 cm +1 0 0 1 -181.2459 -438.7347 cm BT -/F8 9.9626 Tf 184.2347 449.4444 Td[(get)]TJ +/F8 9.9626 Tf 184.2347 438.7347 Td[(get)]TJ ET -1 0 0 1 198.116 449.4444 cm +1 0 0 1 198.116 438.7347 cm q []0 d 0 J @@ -3225,31 +3248,31 @@ q 2.9888 0.1992 l S Q -1 0 0 1 -198.116 -449.4444 cm +1 0 0 1 -198.116 -438.7347 cm BT -/F8 9.9626 Tf 201.1048 449.4444 Td[(o)28(v)28(e)-1(r)1(lap)]TJ +/F8 9.9626 Tf 201.1048 438.7347 Td[(o)28(v)28(e)-1(r)1(lap)]TJ ET -1 0 0 1 232.4042 449.4444 cm +1 0 0 1 232.4042 438.7347 cm 0 g 0 G -1 0 0 1 -232.4042 -449.4444 cm +1 0 0 1 -232.4042 -438.7347 cm BT -/F8 9.9626 Tf 238.4301 449.4444 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)]TJ +/F8 9.9626 Tf 238.4301 438.7347 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)]TJ ET -1 0 0 1 484.4533 449.4444 cm +1 0 0 1 484.4533 438.7347 cm 0 g 0 G -1 0 0 1 -484.4533 -449.4444 cm +1 0 0 1 -484.4533 -438.7347 cm BT -/F8 9.9626 Tf 484.4533 449.4444 Td[(83)]TJ +/F8 9.9626 Tf 484.4533 438.7347 Td[(83)]TJ ET -1 0 0 1 494.4159 449.4444 cm +1 0 0 1 494.4159 438.7347 cm 0 g 0 G -1 0 0 1 -328.7671 -12.8342 cm +1 0 0 1 -328.7671 -13.3697 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -165.6488 -436.6102 cm +1 0 0 1 -165.6488 -425.3649 cm BT -/F8 9.9626 Tf 165.6488 436.6102 Td[(psb)]TJ +/F8 9.9626 Tf 165.6488 425.3649 Td[(psb)]TJ ET -1 0 0 1 181.2459 436.6102 cm +1 0 0 1 181.2459 425.3649 cm q []0 d 0 J @@ -3258,11 +3281,11 @@ q 2.9888 0.1992 l S Q -1 0 0 1 -181.2459 -436.6102 cm +1 0 0 1 -181.2459 -425.3649 cm BT -/F8 9.9626 Tf 184.2347 436.6102 Td[(sp)]TJ +/F8 9.9626 Tf 184.2347 425.3649 Td[(sp)]TJ ET -1 0 0 1 194.297 436.6102 cm +1 0 0 1 194.297 425.3649 cm q []0 d 0 J @@ -3271,31 +3294,31 @@ q 2.9888 0.1992 l S Q -1 0 0 1 -194.297 -436.6102 cm +1 0 0 1 -194.297 -425.3649 cm BT -/F8 9.9626 Tf 197.2858 436.6102 Td[(getro)28(w)]TJ +/F8 9.9626 Tf 197.2858 425.3649 Td[(getro)28(w)]TJ ET -1 0 0 1 226.3712 436.6102 cm +1 0 0 1 226.3712 425.3649 cm 0 g 0 G -1 0 0 1 -226.3712 -436.6102 cm +1 0 0 1 -226.3712 -425.3649 cm BT -/F8 9.9626 Tf 230.6815 436.6102 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)]TJ +/F8 9.9626 Tf 230.6815 425.3649 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)]TJ ET -1 0 0 1 484.4533 436.6102 cm +1 0 0 1 484.4533 425.3649 cm 0 g 0 G -1 0 0 1 -484.4533 -436.6102 cm +1 0 0 1 -484.4533 -425.3649 cm BT -/F8 9.9626 Tf 484.4533 436.6102 Td[(84)]TJ +/F8 9.9626 Tf 484.4533 425.3649 Td[(84)]TJ ET -1 0 0 1 494.4159 436.6102 cm +1 0 0 1 494.4159 425.3649 cm 0 g 0 G -1 0 0 1 -328.7671 -12.8342 cm +1 0 0 1 -328.7671 -13.3697 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -165.6488 -423.776 cm +1 0 0 1 -165.6488 -411.9952 cm BT -/F8 9.9626 Tf 165.6488 423.776 Td[(psb)]TJ +/F8 9.9626 Tf 165.6488 411.9952 Td[(psb)]TJ ET -1 0 0 1 181.2459 423.776 cm +1 0 0 1 181.2459 411.9952 cm q []0 d 0 J @@ -3304,43 +3327,46 @@ q 2.9888 0.1992 l S Q -1 0 0 1 -181.2459 -423.776 cm +1 0 0 1 -181.2459 -411.9952 cm BT -/F8 9.9626 Tf 184.2347 423.776 Td[(siz)-1(eof)]TJ +/F8 9.9626 Tf 184.2347 411.9952 Td[(siz)-1(eof)]TJ ET -1 0 0 1 207.813 423.776 cm +1 0 0 1 207.813 411.9952 cm 0 g 0 G -1 0 0 1 -207.813 -423.776 cm +1 0 0 1 -207.813 -411.9952 cm BT -/F8 9.9626 Tf 215.1843 423.776 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)]TJ +/F8 9.9626 Tf 215.1843 411.9952 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)]TJ ET -1 0 0 1 484.4533 423.776 cm +1 0 0 1 484.4533 411.9952 cm 0 g 0 G -1 0 0 1 -484.4533 -423.776 cm +1 0 0 1 -484.4533 -411.9952 cm BT -/F8 9.9626 Tf 484.4533 423.776 Td[(86)]TJ +/F8 9.9626 Tf 484.4533 411.9952 Td[(86)]TJ ET -1 0 0 1 494.4159 423.776 cm +1 0 0 1 494.4159 411.9952 cm 0 g 0 G -1 0 0 1 -343.7111 -23.383 cm +1 0 0 1 -328.7671 -13.3697 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -150.7048 -400.393 cm +0 g 0 G +1 0 0 1 -165.6488 -398.6255 cm BT -/F29 9.9626 Tf 150.7048 400.393 Td[(7)-925(P)32(arall)-1(el)-384(en)32(viron)1(m)-1(en)32(t)-383(routi)-1(n)1(e)-1(s)]TJ +/F8 9.9626 Tf 168.6927 398.6255 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)]TJ ET -1 0 0 1 314.6808 400.393 cm +1 0 0 1 484.4533 398.6255 cm 0 g 0 G -1 0 0 1 -314.6808 -400.393 cm +1 0 0 1 -484.4533 -398.6255 cm BT -/F29 9.9626 Tf 482.959 400.393 Td[(87)]TJ +/F8 9.9626 Tf 484.4533 398.6255 Td[(87)]TJ ET -1 0 0 1 165.6488 387.5588 cm +1 0 0 1 494.4159 398.6255 cm +0 g 0 G +1 0 0 1 -328.7671 -13.3697 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -165.6488 -387.5588 cm +1 0 0 1 -165.6488 -385.2558 cm BT -/F8 9.9626 Tf 165.6488 387.5588 Td[(psb)]TJ +/F8 9.9626 Tf 165.6488 385.2558 Td[(psb)]TJ ET -1 0 0 1 181.2459 387.5588 cm +1 0 0 1 181.2459 385.2558 cm q []0 d 0 J @@ -3349,31 +3375,31 @@ q 2.9888 0.1992 l S Q -1 0 0 1 -181.2459 -387.5588 cm +1 0 0 1 -181.2459 -385.2558 cm BT -/F8 9.9626 Tf 184.2347 387.5588 Td[(in)1(it)]TJ +/F8 9.9626 Tf 184.2347 385.2558 Td[(ms)-1(or)1(t)]TJ ET -1 0 0 1 199.1787 387.5588 cm +1 0 0 1 209.2244 385.2558 cm 0 g 0 G -1 0 0 1 -199.1787 -387.5588 cm +1 0 0 1 -209.2244 -385.2558 cm BT -/F8 9.9626 Tf 207.4357 387.5588 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)]TJ +/F8 9.9626 Tf 215.1843 385.2558 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)]TJ ET -1 0 0 1 484.4533 387.5588 cm +1 0 0 1 484.4533 385.2558 cm 0 g 0 G -1 0 0 1 -484.4533 -387.5588 cm +1 0 0 1 -484.4533 -385.2558 cm BT -/F8 9.9626 Tf 484.4533 387.5588 Td[(88)]TJ +/F8 9.9626 Tf 484.4533 385.2558 Td[(87)]TJ ET -1 0 0 1 494.4159 387.5588 cm +1 0 0 1 494.4159 385.2558 cm 0 g 0 G -1 0 0 1 -328.7671 -12.8342 cm +1 0 0 1 -328.7671 -13.3697 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -165.6488 -374.7246 cm +1 0 0 1 -165.6488 -371.8861 cm BT -/F8 9.9626 Tf 165.6488 374.7246 Td[(psb)]TJ +/F8 9.9626 Tf 165.6488 371.8861 Td[(psb)]TJ ET -1 0 0 1 181.2459 374.7246 cm +1 0 0 1 181.2459 371.8861 cm q []0 d 0 J @@ -3382,31 +3408,31 @@ q 2.9888 0.1992 l S Q -1 0 0 1 -181.2459 -374.7246 cm +1 0 0 1 -181.2459 -371.8861 cm BT -/F8 9.9626 Tf 184.2347 374.7246 Td[(in)1(fo)]TJ +/F8 9.9626 Tf 184.2347 371.8861 Td[(qsort)]TJ ET -1 0 0 1 200.5625 374.7246 cm +1 0 0 1 206.1803 371.8861 cm 0 g 0 G -1 0 0 1 -200.5625 -374.7246 cm +1 0 0 1 -206.1803 -371.8861 cm BT -/F8 9.9626 Tf 207.4357 374.7246 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)]TJ +/F8 9.9626 Tf 215.1843 371.8861 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)]TJ ET -1 0 0 1 484.4533 374.7246 cm +1 0 0 1 484.4533 371.8861 cm 0 g 0 G -1 0 0 1 -484.4533 -374.7246 cm +1 0 0 1 -484.4533 -371.8861 cm BT -/F8 9.9626 Tf 484.4533 374.7246 Td[(89)]TJ +/F8 9.9626 Tf 484.4533 371.8861 Td[(87)]TJ ET -1 0 0 1 494.4159 374.7246 cm +1 0 0 1 494.4159 371.8861 cm 0 g 0 G -1 0 0 1 -328.7671 -12.8342 cm +1 0 0 1 -328.7671 -13.3697 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -165.6488 -361.8904 cm +1 0 0 1 -165.6488 -358.5164 cm BT -/F8 9.9626 Tf 165.6488 361.8904 Td[(psb)]TJ +/F8 9.9626 Tf 165.6488 358.5164 Td[(psb)]TJ ET -1 0 0 1 181.2459 361.8904 cm +1 0 0 1 181.2459 358.5164 cm q []0 d 0 J @@ -3415,44 +3441,43 @@ q 2.9888 0.1992 l S Q -1 0 0 1 -181.2459 -361.8904 cm +1 0 0 1 -181.2459 -358.5164 cm BT -/F8 9.9626 Tf 184.2347 361.8904 Td[(exit)]TJ +/F8 9.9626 Tf 184.2347 358.5164 Td[(hsort)]TJ ET -1 0 0 1 200.5624 361.8904 cm +1 0 0 1 206.457 358.5164 cm 0 g 0 G -1 0 0 1 -200.5624 -361.8904 cm +1 0 0 1 -206.457 -358.5164 cm BT -/F8 9.9626 Tf 207.4357 361.8904 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)]TJ +/F8 9.9626 Tf 215.1843 358.5164 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)]TJ ET -1 0 0 1 484.4533 361.8904 cm +1 0 0 1 484.4533 358.5164 cm 0 g 0 G -1 0 0 1 -484.4533 -361.8904 cm +1 0 0 1 -484.4533 -358.5164 cm BT -/F8 9.9626 Tf 484.4533 361.8904 Td[(90)]TJ +/F8 9.9626 Tf 484.4533 358.5164 Td[(87)]TJ ET -1 0 0 1 494.4159 361.8904 cm +1 0 0 1 494.4159 358.5164 cm 0 g 0 G -1 0 0 1 -328.7671 -12.8342 cm +1 0 0 1 -343.7111 -24.2754 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -165.6488 -349.0562 cm +1 0 0 1 -150.7048 -334.241 cm BT -/F8 9.9626 Tf 165.6488 349.0562 Td[(psb)]TJ +/F29 9.9626 Tf 150.7048 334.241 Td[(7)-925(P)32(arall)-1(el)-384(en)32(viron)1(m)-1(en)32(t)-383(routi)-1(n)1(e)-1(s)]TJ ET -1 0 0 1 181.2459 349.0562 cm -q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S -Q -1 0 0 1 -181.2459 -349.0562 cm +1 0 0 1 314.6808 334.241 cm +0 g 0 G +1 0 0 1 -314.6808 -334.241 cm +BT +/F29 9.9626 Tf 482.959 334.241 Td[(89)]TJ +ET +1 0 0 1 165.6488 320.8713 cm +0 0 1 rg 0 0 1 RG +1 0 0 1 -165.6488 -320.8713 cm BT -/F8 9.9626 Tf 184.2347 349.0562 Td[(get)]TJ +/F8 9.9626 Tf 165.6488 320.8713 Td[(psb)]TJ ET -1 0 0 1 198.116 349.0562 cm +1 0 0 1 181.2459 320.8713 cm q []0 d 0 J @@ -3461,44 +3486,31 @@ q 2.9888 0.1992 l S Q -1 0 0 1 -198.116 -349.0562 cm +1 0 0 1 -181.2459 -320.8713 cm BT -/F8 9.9626 Tf 201.1048 349.0562 Td[(mpicomm)]TJ +/F8 9.9626 Tf 184.2347 320.8713 Td[(in)1(it)]TJ ET -1 0 0 1 243.7229 349.0562 cm +1 0 0 1 199.1787 320.8713 cm 0 g 0 G -1 0 0 1 -243.7229 -349.0562 cm +1 0 0 1 -199.1787 -320.8713 cm BT -/F8 9.9626 Tf 253.9274 349.0562 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)]TJ +/F8 9.9626 Tf 207.4357 320.8713 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)]TJ ET -1 0 0 1 484.4533 349.0562 cm +1 0 0 1 484.4533 320.8713 cm 0 g 0 G -1 0 0 1 -484.4533 -349.0562 cm +1 0 0 1 -484.4533 -320.8713 cm BT -/F8 9.9626 Tf 484.4533 349.0562 Td[(91)]TJ +/F8 9.9626 Tf 484.4533 320.8713 Td[(90)]TJ ET -1 0 0 1 494.4159 349.0562 cm +1 0 0 1 494.4159 320.8713 cm 0 g 0 G -1 0 0 1 -328.7671 -12.8343 cm +1 0 0 1 -328.7671 -13.3697 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -165.6488 -336.2219 cm -BT -/F8 9.9626 Tf 165.6488 336.2219 Td[(psb)]TJ -ET -1 0 0 1 181.2459 336.2219 cm -q -[]0 d -0 J -0.3985 w -0 0.1992 m -2.9888 0.1992 l -S -Q -1 0 0 1 -181.2459 -336.2219 cm +1 0 0 1 -165.6488 -307.5016 cm BT -/F8 9.9626 Tf 184.2347 336.2219 Td[(get)]TJ +/F8 9.9626 Tf 165.6488 307.5016 Td[(psb)]TJ ET -1 0 0 1 198.116 336.2219 cm +1 0 0 1 181.2459 307.5016 cm q []0 d 0 J @@ -3507,31 +3519,31 @@ q 2.9888 0.1992 l S Q -1 0 0 1 -198.116 -336.2219 cm +1 0 0 1 -181.2459 -307.5016 cm BT -/F8 9.9626 Tf 201.1048 336.2219 Td[(ran)1(k)]TJ +/F8 9.9626 Tf 184.2347 307.5016 Td[(in)1(fo)]TJ ET -1 0 0 1 220.7811 336.2219 cm +1 0 0 1 200.5625 307.5016 cm 0 g 0 G -1 0 0 1 -220.7811 -336.2219 cm +1 0 0 1 -200.5625 -307.5016 cm BT -/F8 9.9626 Tf 230.6815 336.2219 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)]TJ +/F8 9.9626 Tf 207.4357 307.5016 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)]TJ ET -1 0 0 1 484.4533 336.2219 cm +1 0 0 1 484.4533 307.5016 cm 0 g 0 G -1 0 0 1 -484.4533 -336.2219 cm +1 0 0 1 -484.4533 -307.5016 cm BT -/F8 9.9626 Tf 484.4533 336.2219 Td[(92)]TJ +/F8 9.9626 Tf 484.4533 307.5016 Td[(91)]TJ ET -1 0 0 1 494.4159 336.2219 cm +1 0 0 1 494.4159 307.5016 cm 0 g 0 G -1 0 0 1 -328.7671 -12.8342 cm +1 0 0 1 -328.7671 -13.3697 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -165.6488 -323.3877 cm +1 0 0 1 -165.6488 -294.1319 cm BT -/F8 9.9626 Tf 165.6488 323.3877 Td[(psb)]TJ +/F8 9.9626 Tf 165.6488 294.1319 Td[(psb)]TJ ET -1 0 0 1 181.2459 323.3877 cm +1 0 0 1 181.2459 294.1319 cm q []0 d 0 J @@ -3540,31 +3552,31 @@ q 2.9888 0.1992 l S Q -1 0 0 1 -181.2459 -323.3877 cm +1 0 0 1 -181.2459 -294.1319 cm BT -/F8 9.9626 Tf 184.2347 323.3877 Td[(wtime)]TJ +/F8 9.9626 Tf 184.2347 294.1319 Td[(exit)]TJ ET -1 0 0 1 210.8018 323.3877 cm +1 0 0 1 200.5624 294.1319 cm 0 g 0 G -1 0 0 1 -210.8018 -323.3877 cm +1 0 0 1 -200.5624 -294.1319 cm BT -/F8 9.9626 Tf 215.1843 323.3877 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)]TJ +/F8 9.9626 Tf 207.4357 294.1319 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)]TJ ET -1 0 0 1 484.4533 323.3877 cm +1 0 0 1 484.4533 294.1319 cm 0 g 0 G -1 0 0 1 -484.4533 -323.3877 cm +1 0 0 1 -484.4533 -294.1319 cm BT -/F8 9.9626 Tf 484.4533 323.3877 Td[(93)]TJ +/F8 9.9626 Tf 484.4533 294.1319 Td[(92)]TJ ET -1 0 0 1 494.4159 323.3877 cm +1 0 0 1 494.4159 294.1319 cm 0 g 0 G -1 0 0 1 -328.7671 -12.8342 cm +1 0 0 1 -328.7671 -13.3697 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -165.6488 -310.5535 cm +1 0 0 1 -165.6488 -280.7621 cm BT -/F8 9.9626 Tf 165.6488 310.5535 Td[(psb)]TJ +/F8 9.9626 Tf 165.6488 280.7621 Td[(psb)]TJ ET -1 0 0 1 181.2459 310.5535 cm +1 0 0 1 181.2459 280.7621 cm q []0 d 0 J @@ -3573,31 +3585,11 @@ q 2.9888 0.1992 l S Q -1 0 0 1 -181.2459 -310.5535 cm +1 0 0 1 -181.2459 -280.7621 cm BT -/F8 9.9626 Tf 184.2347 310.5535 Td[(bar)1(rier)]TJ +/F8 9.9626 Tf 184.2347 280.7621 Td[(get)]TJ ET -1 0 0 1 213.6522 310.5535 cm -0 g 0 G -1 0 0 1 -213.6522 -310.5535 cm -BT -/F8 9.9626 Tf 222.9329 310.5535 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)]TJ -ET -1 0 0 1 484.4533 310.5535 cm -0 g 0 G -1 0 0 1 -484.4533 -310.5535 cm -BT -/F8 9.9626 Tf 484.4533 310.5535 Td[(94)]TJ -ET -1 0 0 1 494.4159 310.5535 cm -0 g 0 G -1 0 0 1 -328.7671 -12.8342 cm -0 0 1 rg 0 0 1 RG -1 0 0 1 -165.6488 -297.7193 cm -BT -/F8 9.9626 Tf 165.6488 297.7193 Td[(psb)]TJ -ET -1 0 0 1 181.2459 297.7193 cm +1 0 0 1 198.116 280.7621 cm q []0 d 0 J @@ -3606,31 +3598,31 @@ q 2.9888 0.1992 l S Q -1 0 0 1 -181.2459 -297.7193 cm +1 0 0 1 -198.116 -280.7621 cm BT -/F8 9.9626 Tf 184.2347 297.7193 Td[(ab)-27(ort)]TJ +/F8 9.9626 Tf 201.1048 280.7621 Td[(mpicomm)]TJ ET -1 0 0 1 207.7854 297.7193 cm +1 0 0 1 243.7229 280.7621 cm 0 g 0 G -1 0 0 1 -207.7854 -297.7193 cm +1 0 0 1 -243.7229 -280.7621 cm BT -/F8 9.9626 Tf 215.1843 297.7193 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)]TJ +/F8 9.9626 Tf 253.9274 280.7621 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)]TJ ET -1 0 0 1 484.4533 297.7193 cm +1 0 0 1 484.4533 280.7621 cm 0 g 0 G -1 0 0 1 -484.4533 -297.7193 cm +1 0 0 1 -484.4533 -280.7621 cm BT -/F8 9.9626 Tf 484.4533 297.7193 Td[(95)]TJ +/F8 9.9626 Tf 484.4533 280.7621 Td[(93)]TJ ET -1 0 0 1 494.4159 297.7193 cm +1 0 0 1 494.4159 280.7621 cm 0 g 0 G -1 0 0 1 -328.7671 -12.8343 cm +1 0 0 1 -328.7671 -13.3697 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -165.6488 -284.885 cm +1 0 0 1 -165.6488 -267.3924 cm BT -/F8 9.9626 Tf 165.6488 284.885 Td[(psb)]TJ +/F8 9.9626 Tf 165.6488 267.3924 Td[(psb)]TJ ET -1 0 0 1 181.2459 284.885 cm +1 0 0 1 181.2459 267.3924 cm q []0 d 0 J @@ -3639,31 +3631,11 @@ q 2.9888 0.1992 l S Q -1 0 0 1 -181.2459 -284.885 cm -BT -/F8 9.9626 Tf 184.2347 284.885 Td[(b)-27(c)-1(ast)]TJ -ET -1 0 0 1 207.2596 284.885 cm -0 g 0 G -1 0 0 1 -207.2596 -284.885 cm -BT -/F8 9.9626 Tf 215.1843 284.885 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)]TJ -ET -1 0 0 1 484.4533 284.885 cm -0 g 0 G -1 0 0 1 -484.4533 -284.885 cm -BT -/F8 9.9626 Tf 484.4533 284.885 Td[(96)]TJ -ET -1 0 0 1 494.4159 284.885 cm -0 g 0 G -1 0 0 1 -328.7671 -12.8342 cm -0 0 1 rg 0 0 1 RG -1 0 0 1 -165.6488 -272.0508 cm +1 0 0 1 -181.2459 -267.3924 cm BT -/F8 9.9626 Tf 165.6488 272.0508 Td[(psb)]TJ +/F8 9.9626 Tf 184.2347 267.3924 Td[(get)]TJ ET -1 0 0 1 181.2459 272.0508 cm +1 0 0 1 198.116 267.3924 cm q []0 d 0 J @@ -3672,31 +3644,31 @@ q 2.9888 0.1992 l S Q -1 0 0 1 -181.2459 -272.0508 cm +1 0 0 1 -198.116 -267.3924 cm BT -/F8 9.9626 Tf 184.2347 272.0508 Td[(sum)]TJ +/F8 9.9626 Tf 201.1048 267.3924 Td[(ran)1(k)]TJ ET -1 0 0 1 202.0015 272.0508 cm +1 0 0 1 220.7811 267.3924 cm 0 g 0 G -1 0 0 1 -202.0015 -272.0508 cm +1 0 0 1 -220.7811 -267.3924 cm BT -/F8 9.9626 Tf 207.4357 272.0508 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)]TJ +/F8 9.9626 Tf 230.6815 267.3924 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)]TJ ET -1 0 0 1 484.4533 272.0508 cm +1 0 0 1 484.4533 267.3924 cm 0 g 0 G -1 0 0 1 -484.4533 -272.0508 cm +1 0 0 1 -484.4533 -267.3924 cm BT -/F8 9.9626 Tf 484.4533 272.0508 Td[(97)]TJ +/F8 9.9626 Tf 484.4533 267.3924 Td[(94)]TJ ET -1 0 0 1 494.4159 272.0508 cm +1 0 0 1 494.4159 267.3924 cm 0 g 0 G -1 0 0 1 -328.7671 -12.8342 cm +1 0 0 1 -328.7671 -13.3697 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -165.6488 -259.2166 cm +1 0 0 1 -165.6488 -254.0227 cm BT -/F8 9.9626 Tf 165.6488 259.2166 Td[(psb)]TJ +/F8 9.9626 Tf 165.6488 254.0227 Td[(psb)]TJ ET -1 0 0 1 181.2459 259.2166 cm +1 0 0 1 181.2459 254.0227 cm q []0 d 0 J @@ -3705,31 +3677,31 @@ q 2.9888 0.1992 l S Q -1 0 0 1 -181.2459 -259.2166 cm +1 0 0 1 -181.2459 -254.0227 cm BT -/F8 9.9626 Tf 184.2347 259.2166 Td[(max)]TJ +/F8 9.9626 Tf 184.2347 254.0227 Td[(wtime)]TJ ET -1 0 0 1 202.7764 259.2166 cm +1 0 0 1 210.8018 254.0227 cm 0 g 0 G -1 0 0 1 -202.7764 -259.2166 cm +1 0 0 1 -210.8018 -254.0227 cm BT -/F8 9.9626 Tf 207.4357 259.2166 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)]TJ +/F8 9.9626 Tf 215.1843 254.0227 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)]TJ ET -1 0 0 1 484.4533 259.2166 cm +1 0 0 1 484.4533 254.0227 cm 0 g 0 G -1 0 0 1 -484.4533 -259.2166 cm +1 0 0 1 -484.4533 -254.0227 cm BT -/F8 9.9626 Tf 484.4533 259.2166 Td[(98)]TJ +/F8 9.9626 Tf 484.4533 254.0227 Td[(95)]TJ ET -1 0 0 1 494.4159 259.2166 cm +1 0 0 1 494.4159 254.0227 cm 0 g 0 G -1 0 0 1 -328.7671 -12.8343 cm +1 0 0 1 -328.7671 -13.3697 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -165.6488 -246.3823 cm +1 0 0 1 -165.6488 -240.653 cm BT -/F8 9.9626 Tf 165.6488 246.3823 Td[(psb)]TJ +/F8 9.9626 Tf 165.6488 240.653 Td[(psb)]TJ ET -1 0 0 1 181.2459 246.3823 cm +1 0 0 1 181.2459 240.653 cm q []0 d 0 J @@ -3738,31 +3710,31 @@ q 2.9888 0.1992 l S Q -1 0 0 1 -181.2459 -246.3823 cm +1 0 0 1 -181.2459 -240.653 cm BT -/F8 9.9626 Tf 184.2347 246.3823 Td[(min)]TJ +/F8 9.9626 Tf 184.2347 240.653 Td[(bar)1(rier)]TJ ET -1 0 0 1 200.8392 246.3823 cm +1 0 0 1 213.6522 240.653 cm 0 g 0 G -1 0 0 1 -200.8392 -246.3823 cm +1 0 0 1 -213.6522 -240.653 cm BT -/F8 9.9626 Tf 207.4357 246.3823 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)]TJ +/F8 9.9626 Tf 222.9329 240.653 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)]TJ ET -1 0 0 1 484.4533 246.3823 cm +1 0 0 1 484.4533 240.653 cm 0 g 0 G -1 0 0 1 -484.4533 -246.3823 cm +1 0 0 1 -484.4533 -240.653 cm BT -/F8 9.9626 Tf 484.4533 246.3823 Td[(99)]TJ +/F8 9.9626 Tf 484.4533 240.653 Td[(96)]TJ ET -1 0 0 1 494.4159 246.3823 cm +1 0 0 1 494.4159 240.653 cm 0 g 0 G -1 0 0 1 -328.7671 -12.8342 cm +1 0 0 1 -328.7671 -13.3697 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -165.6488 -233.5481 cm +1 0 0 1 -165.6488 -227.2833 cm BT -/F8 9.9626 Tf 165.6488 233.5481 Td[(psb)]TJ +/F8 9.9626 Tf 165.6488 227.2833 Td[(psb)]TJ ET -1 0 0 1 181.2459 233.5481 cm +1 0 0 1 181.2459 227.2833 cm q []0 d 0 J @@ -3771,31 +3743,31 @@ q 2.9888 0.1992 l S Q -1 0 0 1 -181.2459 -233.5481 cm +1 0 0 1 -181.2459 -227.2833 cm BT -/F8 9.9626 Tf 184.2347 233.5481 Td[(amx)]TJ +/F8 9.9626 Tf 184.2347 227.2833 Td[(ab)-27(ort)]TJ ET -1 0 0 1 202.7764 233.5481 cm +1 0 0 1 207.7854 227.2833 cm 0 g 0 G -1 0 0 1 -202.7764 -233.5481 cm +1 0 0 1 -207.7854 -227.2833 cm BT -/F8 9.9626 Tf 207.4357 233.5481 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)]TJ +/F8 9.9626 Tf 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184.2347 220.7139 Td[(amn)]TJ +/F8 9.9626 Tf 184.2347 213.9136 Td[(b)-27(c)-1(ast)]TJ ET -1 0 0 1 203.0531 220.7139 cm +1 0 0 1 207.2596 213.9136 cm 0 g 0 G -1 0 0 1 -203.0531 -220.7139 cm +1 0 0 1 -207.2596 -213.9136 cm BT -/F8 9.9626 Tf 207.4357 220.7139 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)]TJ +/F8 9.9626 Tf 215.1843 213.9136 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)]TJ ET -1 0 0 1 479.4719 220.7139 cm +1 0 0 1 484.4533 213.9136 cm 0 g 0 G -1 0 0 1 -479.4719 -220.7139 cm +1 0 0 1 -484.4533 -213.9136 cm BT -/F8 9.9626 Tf 479.4719 220.7139 Td[(101)]TJ +/F8 9.9626 Tf 484.4533 213.9136 Td[(98)]TJ ET -1 0 0 1 494.4159 220.7139 cm +1 0 0 1 494.4159 213.9136 cm 0 g 0 G -1 0 0 1 -328.7671 -12.8342 cm +1 0 0 1 -328.7671 -13.3697 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -165.6488 -207.8797 cm +1 0 0 1 -165.6488 -200.5439 cm BT -/F8 9.9626 Tf 165.6488 207.8797 Td[(psb)]TJ +/F8 9.9626 Tf 165.6488 200.5439 Td[(psb)]TJ ET -1 0 0 1 181.2459 207.8797 cm +1 0 0 1 181.2459 200.5439 cm q []0 d 0 J @@ -3837,31 +3809,31 @@ q 2.9888 0.1992 l S Q -1 0 0 1 -181.2459 -207.8797 cm +1 0 0 1 -181.2459 -200.5439 cm BT -/F8 9.9626 Tf 184.2347 207.8797 Td[(snd)]TJ +/F8 9.9626 Tf 184.2347 200.5439 Td[(sum)]TJ ET -1 0 0 1 199.2341 207.8797 cm +1 0 0 1 202.0015 200.5439 cm 0 g 0 G -1 0 0 1 -199.2341 -207.8797 cm +1 0 0 1 -202.0015 -200.5439 cm BT -/F8 9.9626 Tf 207.4357 207.8797 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)]TJ +/F8 9.9626 Tf 207.4357 200.5439 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)]TJ ET -1 0 0 1 479.4719 207.8797 cm +1 0 0 1 484.4533 200.5439 cm 0 g 0 G -1 0 0 1 -479.4719 -207.8797 cm +1 0 0 1 -484.4533 -200.5439 cm BT -/F8 9.9626 Tf 479.4719 207.8797 Td[(102)]TJ +/F8 9.9626 Tf 484.4533 200.5439 Td[(99)]TJ ET -1 0 0 1 494.4159 207.8797 cm +1 0 0 1 494.4159 200.5439 cm 0 g 0 G -1 0 0 1 -328.7671 -12.8342 cm +1 0 0 1 -328.7671 -13.3697 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -165.6488 -195.0455 cm +1 0 0 1 -165.6488 -187.1742 cm BT -/F8 9.9626 Tf 165.6488 195.0455 Td[(psb)]TJ +/F8 9.9626 Tf 165.6488 187.1742 Td[(psb)]TJ ET -1 0 0 1 181.2459 195.0455 cm +1 0 0 1 181.2459 187.1742 cm q []0 d 0 J @@ -3870,43 +3842,31 @@ q 2.9888 0.1992 l S Q -1 0 0 1 -181.2459 -195.0455 cm +1 0 0 1 -181.2459 -187.1742 cm BT -/F8 9.9626 Tf 184.2347 195.0455 Td[(rcv)]TJ +/F8 9.9626 Tf 184.2347 187.1742 Td[(max)]TJ ET -1 0 0 1 197.8227 195.0455 cm +1 0 0 1 202.7764 187.1742 cm 0 g 0 G -1 0 0 1 -197.8227 -195.0455 cm +1 0 0 1 -202.7764 -187.1742 cm BT -/F8 9.9626 Tf 207.4357 195.0455 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)]TJ +/F8 9.9626 Tf 207.4357 187.1742 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)]TJ ET -1 0 0 1 479.4719 195.0455 cm +1 0 0 1 479.4719 187.1742 cm 0 g 0 G -1 0 0 1 -479.4719 -195.0455 cm +1 0 0 1 -479.4719 -187.1742 cm BT -/F8 9.9626 Tf 479.4719 195.0455 Td[(103)]TJ +/F8 9.9626 Tf 479.4719 187.1742 Td[(100)]TJ ET -1 0 0 1 494.4159 195.0455 cm +1 0 0 1 494.4159 187.1742 cm 0 g 0 G -1 0 0 1 -343.7111 -23.383 cm +1 0 0 1 -328.7671 -13.3697 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -150.7048 -171.6625 cm +1 0 0 1 -165.6488 -173.8045 cm BT -/F29 9.9626 Tf 150.7048 171.6625 Td[(8)-925(Er)1(ror)-383(hand)1(l)-1(ing)]TJ +/F8 9.9626 Tf 165.6488 173.8045 Td[(psb)]TJ ET -1 0 0 1 240.0016 171.6625 cm -0 g 0 G -1 0 0 1 -240.0016 -171.6625 cm -BT -/F29 9.9626 Tf 477.2305 171.6625 Td[(104)]TJ -ET -1 0 0 1 165.6488 158.8283 cm -0 0 1 rg 0 0 1 RG -1 0 0 1 -165.6488 -158.8283 cm -BT -/F8 9.9626 Tf 165.6488 158.8283 Td[(psb)]TJ -ET -1 0 0 1 181.2459 158.8283 cm +1 0 0 1 181.2459 173.8045 cm q []0 d 0 J @@ -3915,31 +3875,31 @@ q 2.9888 0.1992 l S Q -1 0 0 1 -181.2459 -158.8283 cm +1 0 0 1 -181.2459 -173.8045 cm BT -/F8 9.9626 Tf 184.2347 158.8283 Td[(errp)1(ush)]TJ +/F8 9.9626 Tf 184.2347 173.8045 Td[(min)]TJ ET -1 0 0 1 217.0008 158.8283 cm +1 0 0 1 200.8392 173.8045 cm 0 g 0 G -1 0 0 1 -217.0008 -158.8283 cm +1 0 0 1 -200.8392 -173.8045 cm BT -/F8 9.9626 Tf 222.9329 158.8283 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)]TJ +/F8 9.9626 Tf 207.4357 173.8045 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)]TJ ET -1 0 0 1 479.4719 158.8283 cm +1 0 0 1 479.4719 173.8045 cm 0 g 0 G -1 0 0 1 -479.4719 -158.8283 cm +1 0 0 1 -479.4719 -173.8045 cm BT -/F8 9.9626 Tf 479.4719 158.8283 Td[(106)]TJ +/F8 9.9626 Tf 479.4719 173.8045 Td[(101)]TJ ET -1 0 0 1 494.4159 158.8283 cm +1 0 0 1 494.4159 173.8045 cm 0 g 0 G -1 0 0 1 -328.7671 -12.8342 cm +1 0 0 1 -328.7671 -13.3697 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -165.6488 -145.9941 cm +1 0 0 1 -165.6488 -160.4348 cm BT -/F8 9.9626 Tf 165.6488 145.9941 Td[(psb)]TJ +/F8 9.9626 Tf 165.6488 160.4348 Td[(psb)]TJ ET -1 0 0 1 181.2459 145.9941 cm +1 0 0 1 181.2459 160.4348 cm q []0 d 0 J @@ -3948,31 +3908,31 @@ q 2.9888 0.1992 l S Q -1 0 0 1 -181.2459 -145.9941 cm +1 0 0 1 -181.2459 -160.4348 cm BT -/F8 9.9626 Tf 184.2347 145.9941 Td[(error)]TJ +/F8 9.9626 Tf 184.2347 160.4348 Td[(amx)]TJ ET -1 0 0 1 205.35 145.9941 cm +1 0 0 1 202.7764 160.4348 cm 0 g 0 G -1 0 0 1 -205.35 -145.9941 cm +1 0 0 1 -202.7764 -160.4348 cm BT -/F8 9.9626 Tf 215.1843 145.9941 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)]TJ +/F8 9.9626 Tf 207.4357 160.4348 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)]TJ ET -1 0 0 1 479.4719 145.9941 cm +1 0 0 1 479.4719 160.4348 cm 0 g 0 G -1 0 0 1 -479.4719 -145.9941 cm +1 0 0 1 -479.4719 -160.4348 cm BT -/F8 9.9626 Tf 479.4719 145.9941 Td[(107)]TJ +/F8 9.9626 Tf 479.4719 160.4348 Td[(102)]TJ ET -1 0 0 1 494.4159 145.9941 cm +1 0 0 1 494.4159 160.4348 cm 0 g 0 G -1 0 0 1 -328.7671 -12.8342 cm +1 0 0 1 -328.7671 -13.3697 cm 0 0 1 rg 0 0 1 RG -1 0 0 1 -165.6488 -133.1599 cm +1 0 0 1 -165.6488 -147.0651 cm BT -/F8 9.9626 Tf 165.6488 133.1599 Td[(psb)]TJ +/F8 9.9626 Tf 165.6488 147.0651 Td[(psb)]TJ ET -1 0 0 1 181.2459 133.1599 cm +1 0 0 1 181.2459 147.0651 cm q []0 d 0 J @@ -3981,11 +3941,31 @@ q 2.9888 0.1992 l S Q -1 0 0 1 -181.2459 -133.1599 cm +1 0 0 1 -181.2459 -147.0651 cm +BT +/F8 9.9626 Tf 184.2347 147.0651 Td[(amn)]TJ +ET +1 0 0 1 203.0531 147.0651 cm +0 g 0 G +1 0 0 1 -203.0531 -147.0651 cm +BT +/F8 9.9626 Tf 207.4357 147.0651 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)]TJ +ET +1 0 0 1 479.4719 147.0651 cm +0 g 0 G +1 0 0 1 -479.4719 -147.0651 cm +BT +/F8 9.9626 Tf 479.4719 147.0651 Td[(103)]TJ +ET +1 0 0 1 494.4159 147.0651 cm +0 g 0 G +1 0 0 1 -328.7671 -13.3697 cm +0 0 1 rg 0 0 1 RG +1 0 0 1 -165.6488 -133.6953 cm BT -/F8 9.9626 Tf 184.2347 133.1599 Td[(se)-1(t)]TJ +/F8 9.9626 Tf 165.6488 133.6953 Td[(psb)]TJ ET -1 0 0 1 197.0644 133.1599 cm +1 0 0 1 181.2459 133.6953 cm q []0 d 0 J @@ -3994,25 +3974,25 @@ q 2.9888 0.1992 l S Q -1 0 0 1 -197.0644 -133.1599 cm +1 0 0 1 -181.2459 -133.6953 cm BT -/F8 9.9626 Tf 200.0532 133.1599 Td[(errv)28(erb)-27(os)-1(i)1(t)27(y)]TJ +/F8 9.9626 Tf 184.2347 133.6953 Td[(snd)]TJ ET -1 0 0 1 251.9421 133.1599 cm +1 0 0 1 199.2341 133.6953 cm 0 g 0 G -1 0 0 1 -251.9421 -133.1599 cm +1 0 0 1 -199.2341 -133.6953 cm BT -/F8 9.9626 Tf 261.676 133.1599 Td[(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)-499(.)-500(.)-500(.)-500(.)]TJ +/F8 9.9626 Tf 207.4357 133.6953 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endobj -1496 0 obj << -/Font << /F8 418 0 R /F19 551 0 R >> +1535 0 obj << +/Font << /F8 434 0 R /F19 571 0 R >> /ProcSet [ /PDF /Text ] >> endobj -958 0 obj << +978 0 obj << /Length1 1125 /Length2 4765 /Length3 532 @@ -31565,7 +32242,7 @@ stream /ItalicAngle 0 def /isFixedPitch false def end readonly def -/FontName /HVYCCN+CMR9 def +/FontName /RQLFQF+CMR9 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def @@ -31642,37 +32319,37 @@ _ cleartomark endstream endobj -959 0 obj << +979 0 obj << /Type /Font /Subtype /Type1 -/Encoding 1501 0 R +/Encoding 1540 0 R /FirstChar 40 /LastChar 115 -/Widths 1502 0 R -/BaseFont /HVYCCN+CMR9 -/FontDescriptor 957 0 R +/Widths 1541 0 R +/BaseFont /RQLFQF+CMR9 +/FontDescriptor 977 0 R >> endobj -957 0 obj << +977 0 obj << /Ascent 694 /CapHeight 683 /Descent -194 -/FontName /HVYCCN+CMR9 +/FontName /RQLFQF+CMR9 /ItalicAngle 0 /StemV 74 /XHeight 431 /FontBBox [-39 -250 1036 750] /Flags 4 /CharSet (/parenleft/parenright/period/zero/one/two/three/four/five/six/seven/eight/nine/B/G/I/L/O/P/X/c/e/o/r/s) -/FontFile 958 0 R +/FontFile 978 0 R >> endobj -1502 0 obj +1541 0 obj [400 400 0 0 0 0 285 0 514 514 514 514 514 514 514 514 514 514 0 0 0 0 0 0 0 0 728 0 0 0 0 806 0 371 0 0 642 0 0 799 699 0 0 0 0 0 0 0 771 0 0 0 0 0 0 0 0 0 0 457 0 457 0 0 0 0 0 0 0 0 0 514 0 0 402 405 ] endobj -1501 0 obj << +1540 0 obj << /Type /Encoding /Differences [ 0 /.notdef 40/parenleft/parenright 42/.notdef 46/period 47/.notdef 48/zero/one/two/three/four/five/six/seven/eight/nine 58/.notdef 66/B 67/.notdef 71/G 72/.notdef 73/I 74/.notdef 76/L 77/.notdef 79/O/P 81/.notdef 88/X 89/.notdef 99/c 100/.notdef 101/e 102/.notdef 111/o 112/.notdef 114/r/s 116/.notdef] >> endobj -864 0 obj << +884 0 obj << /Length1 766 /Length2 759 /Length3 532 @@ -31692,7 +32369,7 @@ stream /ItalicAngle -14.035 def /isFixedPitch false def end readonly def -/FontName /NXZNFV+CMSY7 def +/FontName /FANUMM+CMSY7 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def @@ -31718,37 +32395,37 @@ aaT'/D cleartomark endstream endobj -865 0 obj << +885 0 obj << /Type /Font /Subtype /Type1 -/Encoding 1503 0 R +/Encoding 1542 0 R /FirstChar 0 /LastChar 49 -/Widths 1504 0 R -/BaseFont /NXZNFV+CMSY7 -/FontDescriptor 863 0 R +/Widths 1543 0 R +/BaseFont /FANUMM+CMSY7 +/FontDescriptor 883 0 R >> endobj -863 0 obj << +883 0 obj << /Ascent 750 /CapHeight 683 /Descent -194 -/FontName /NXZNFV+CMSY7 +/FontName /FANUMM+CMSY7 /ItalicAngle -14.035 /StemV 93 /XHeight 431 /FontBBox [-15 -951 1252 782] /Flags 4 /CharSet (/minus/infinity) -/FontFile 864 0 R +/FontFile 884 0 R >> endobj -1504 0 obj +1543 0 obj [893 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1139 ] endobj -1503 0 obj << +1542 0 obj << /Type /Encoding /Differences [ 0 /minus 1/.notdef 49/infinity 50/.notdef] >> endobj -702 0 obj << +722 0 obj << /Length1 1306 /Length2 5708 /Length3 532 @@ -31768,7 +32445,7 @@ stream /ItalicAngle 0 def /isFixedPitch true def end readonly def -/FontName /XRQUPL+CMTT9 def +/FontName /HTJQFP+CMTT9 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def @@ -31835,37 +32512,37 @@ qÜ– cleartomark endstream endobj -703 0 obj << +723 0 obj << /Type /Font /Subtype /Type1 -/Encoding 1505 0 R +/Encoding 1544 0 R /FirstChar 39 /LastChar 122 -/Widths 1506 0 R -/BaseFont /XRQUPL+CMTT9 -/FontDescriptor 701 0 R +/Widths 1545 0 R +/BaseFont /HTJQFP+CMTT9 +/FontDescriptor 721 0 R >> endobj -701 0 obj << +721 0 obj << /Ascent 611 /CapHeight 611 /Descent -222 -/FontName /XRQUPL+CMTT9 +/FontName /HTJQFP+CMTT9 /ItalicAngle 0 /StemV 74 /XHeight 431 /FontBBox [-6 -233 542 698] /Flags 4 /CharSet (/quoteright/parenleft/parenright/comma/period/zero/one/two/nine/colon/equal/underscore/a/b/c/d/e/f/g/h/i/k/l/m/n/o/p/q/r/s/t/u/v/x/y/z) -/FontFile 702 0 R +/FontFile 722 0 R >> endobj -1506 0 obj +1545 0 obj [525 525 525 0 0 525 0 525 0 525 525 525 0 0 0 0 0 0 525 525 0 0 525 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 525 0 525 525 525 525 525 525 525 525 525 0 525 525 525 525 525 525 525 525 525 525 525 525 0 525 525 525 ] endobj -1505 0 obj << +1544 0 obj << /Type /Encoding /Differences [ 0 /.notdef 39/quoteright/parenleft/parenright 42/.notdef 44/comma 45/.notdef 46/period 47/.notdef 48/zero/one/two 51/.notdef 57/nine/colon 59/.notdef 61/equal 62/.notdef 95/underscore 96/.notdef 97/a/b/c/d/e/f/g/h/i 106/.notdef 107/k/l/m/n/o/p/q/r/s/t/u/v 119/.notdef 120/x/y/z 123/.notdef] >> endobj -622 0 obj << +642 0 obj << /Length1 745 /Length2 1242 /Length3 532 @@ -31885,7 +32562,7 @@ stream /ItalicAngle -14.04 def /isFixedPitch false def end readonly def -/FontName /HMGDTW+CMMI5 def +/FontName /NGREMF+CMMI5 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def @@ -31911,37 +32588,37 @@ currentfile eexec cleartomark endstream endobj -623 0 obj << +643 0 obj << /Type /Font /Subtype /Type1 -/Encoding 1507 0 R +/Encoding 1546 0 R /FirstChar 105 /LastChar 105 -/Widths 1508 0 R -/BaseFont /HMGDTW+CMMI5 -/FontDescriptor 621 0 R +/Widths 1547 0 R +/BaseFont /NGREMF+CMMI5 +/FontDescriptor 641 0 R >> endobj -621 0 obj << +641 0 obj << /Ascent 694 /CapHeight 683 /Descent -194 -/FontName /HMGDTW+CMMI5 +/FontName /NGREMF+CMMI5 /ItalicAngle -14.04 /StemV 90 /XHeight 431 /FontBBox [37 -250 1349 750] /Flags 4 /CharSet (/i) -/FontFile 622 0 R +/FontFile 642 0 R >> endobj -1508 0 obj +1547 0 obj [534 ] endobj -1507 0 obj << +1546 0 obj << /Type /Encoding /Differences [ 0 /.notdef 105/i 106/.notdef] >> endobj -596 0 obj << +616 0 obj << /Length1 1050 /Length2 2900 /Length3 532 @@ -31961,7 +32638,7 @@ stream /ItalicAngle -14.035 def /isFixedPitch false def end readonly def -/FontName /HKOKFK+CMSY10 def +/FontName /LNBNXK+CMSY10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def @@ -32016,37 +32693,37 @@ c cleartomark endstream endobj -597 0 obj << +617 0 obj << /Type /Font /Subtype /Type1 -/Encoding 1509 0 R +/Encoding 1548 0 R /FirstChar 0 /LastChar 120 -/Widths 1510 0 R -/BaseFont /HKOKFK+CMSY10 -/FontDescriptor 595 0 R +/Widths 1549 0 R +/BaseFont /LNBNXK+CMSY10 +/FontDescriptor 615 0 R >> endobj -595 0 obj << +615 0 obj << /Ascent 750 /CapHeight 683 /Descent -194 -/FontName /HKOKFK+CMSY10 +/FontName /LNBNXK+CMSY10 /ItalicAngle -14.035 /StemV 85 /XHeight 431 /FontBBox [-29 -960 1116 775] /Flags 4 /CharSet (/minus/bullet/lessequal/greaterequal/arrowleft/element/negationslash/B/H/I/braceleft/braceright/bar/bardbl/radical/section) -/FontFile 596 0 R +/FontFile 616 0 R >> endobj -1510 0 obj +1549 0 obj [778 0 0 0 0 0 0 0 0 0 0 0 0 0 0 500 0 0 0 0 778 778 0 0 0 0 0 0 0 0 0 0 1000 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 667 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 657 0 0 0 0 0 845 545 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 500 500 0 0 278 500 0 0 0 0 833 0 0 0 0 0 0 0 444 ] endobj -1509 0 obj << +1548 0 obj << /Type /Encoding /Differences [ 0 /minus 1/.notdef 15/bullet 16/.notdef 20/lessequal/greaterequal 22/.notdef 32/arrowleft 33/.notdef 50/element 51/.notdef 54/negationslash 55/.notdef 66/B 67/.notdef 72/H/I 74/.notdef 102/braceleft/braceright 104/.notdef 106/bar/bardbl 108/.notdef 112/radical 113/.notdef 120/section 121/.notdef] >> endobj -593 0 obj << +613 0 obj << /Length1 907 /Length2 3553 /Length3 532 @@ -32066,7 +32743,7 @@ stream /ItalicAngle -14.04 def /isFixedPitch false def end readonly def -/FontName /PCQSAL+CMMI7 def +/FontName /XHNIDC+CMMI7 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def @@ -32113,37 +32790,37 @@ NØ• cleartomark endstream endobj -594 0 obj << +614 0 obj << /Type /Font /Subtype /Type1 -/Encoding 1511 0 R +/Encoding 1550 0 R /FirstChar 59 /LastChar 114 -/Widths 1512 0 R -/BaseFont /PCQSAL+CMMI7 -/FontDescriptor 592 0 R +/Widths 1551 0 R +/BaseFont /XHNIDC+CMMI7 +/FontDescriptor 612 0 R >> endobj -592 0 obj << +612 0 obj << /Ascent 694 /CapHeight 683 /Descent -194 -/FontName /PCQSAL+CMMI7 +/FontName /XHNIDC+CMMI7 /ItalicAngle -14.04 /StemV 81 /XHeight 431 /FontBBox [0 -250 1171 750] /Flags 4 /CharSet (/comma/H/I/T/a/c/i/j/k/m/n/r) -/FontFile 593 0 R +/FontFile 613 0 R >> endobj -1512 0 obj +1551 0 obj [339 0 0 0 0 0 0 0 0 0 0 0 0 936 506 0 0 0 0 0 0 0 0 0 0 675 0 0 0 0 0 0 0 0 0 0 0 0 620 0 511 0 0 0 0 0 404 473 607 0 1014 706 0 0 0 530 ] endobj -1511 0 obj << +1550 0 obj << /Type /Encoding /Differences [ 0 /.notdef 59/comma 60/.notdef 72/H/I 74/.notdef 84/T 85/.notdef 97/a 98/.notdef 99/c 100/.notdef 105/i/j/k 108/.notdef 109/m/n 111/.notdef 114/r 115/.notdef] >> endobj -583 0 obj << +603 0 obj << /Length1 1385 /Length2 7327 /Length3 532 @@ -32163,7 +32840,7 @@ stream /ItalicAngle 0 def /isFixedPitch false def end readonly def -/FontName /NARFQV+CMR8 def +/FontName /ZIEWDR+CMR8 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def @@ -32259,37 +32936,37 @@ h cleartomark endstream endobj -584 0 obj << +604 0 obj << /Type /Font /Subtype /Type1 -/Encoding 1513 0 R +/Encoding 1552 0 R /FirstChar 40 /LastChar 121 -/Widths 1514 0 R -/BaseFont /NARFQV+CMR8 -/FontDescriptor 582 0 R +/Widths 1553 0 R +/BaseFont /ZIEWDR+CMR8 +/FontDescriptor 602 0 R >> endobj -582 0 obj << +602 0 obj << /Ascent 694 /CapHeight 683 /Descent -194 -/FontName /NARFQV+CMR8 +/FontName /ZIEWDR+CMR8 /ItalicAngle 0 /StemV 76 /XHeight 431 /FontBBox [-36 -250 1070 750] /Flags 4 /CharSet (/parenleft/parenright/hyphen/period/slash/zero/one/two/three/four/five/six/seven/eight/nine/B/G/I/L/O/P/T/X/a/c/d/e/g/h/i/l/m/n/o/p/r/s/t/u/v/w/y) -/FontFile 583 0 R +/FontFile 603 0 R >> endobj -1514 0 obj +1553 0 obj [413 413 0 0 0 354 295 531 531 531 531 531 531 531 531 531 531 531 0 0 0 0 0 0 0 0 752 0 0 0 0 834 0 383 0 0 664 0 0 826 723 0 0 0 767 0 0 0 796 0 0 0 0 0 0 0 0 531 0 472 590 472 0 531 590 295 0 0 295 885 590 531 590 0 414 419 413 590 561 767 0 561 ] endobj -1513 0 obj << +1552 0 obj << /Type /Encoding /Differences [ 0 /.notdef 40/parenleft/parenright 42/.notdef 45/hyphen/period/slash/zero/one/two/three/four/five/six/seven/eight/nine 58/.notdef 66/B 67/.notdef 71/G 72/.notdef 73/I 74/.notdef 76/L 77/.notdef 79/O/P 81/.notdef 84/T 85/.notdef 88/X 89/.notdef 97/a 98/.notdef 99/c/d/e 102/.notdef 103/g/h/i 106/.notdef 108/l/m/n/o/p 113/.notdef 114/r/s/t/u/v/w 120/.notdef 121/y 122/.notdef] >> endobj -579 0 obj << +599 0 obj << /Length1 751 /Length2 1212 /Length3 532 @@ -32309,7 +32986,7 @@ stream /ItalicAngle 0 def /isFixedPitch false def end readonly def -/FontName /MUZBDP+CMR6 def +/FontName /PEVRUV+CMR6 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def @@ -32336,37 +33013,37 @@ currentfile eexec cleartomark endstream endobj -580 0 obj << +600 0 obj << /Type /Font /Subtype /Type1 -/Encoding 1515 0 R +/Encoding 1554 0 R /FirstChar 49 /LastChar 50 -/Widths 1516 0 R -/BaseFont /MUZBDP+CMR6 -/FontDescriptor 578 0 R +/Widths 1555 0 R +/BaseFont /PEVRUV+CMR6 +/FontDescriptor 598 0 R >> endobj -578 0 obj << +598 0 obj << /Ascent 694 /CapHeight 683 /Descent -194 -/FontName /MUZBDP+CMR6 +/FontName /PEVRUV+CMR6 /ItalicAngle 0 /StemV 83 /XHeight 431 /FontBBox [-20 -250 1193 750] /Flags 4 /CharSet (/one/two) -/FontFile 579 0 R +/FontFile 599 0 R >> endobj -1516 0 obj +1555 0 obj [611 611 ] endobj -1515 0 obj << +1554 0 obj << /Type /Encoding /Differences [ 0 /.notdef 49/one/two 51/.notdef] >> endobj -576 0 obj << +596 0 obj << /Length1 769 /Length2 1298 /Length3 532 @@ -32386,7 +33063,7 @@ stream /ItalicAngle 0 def /isFixedPitch false def end readonly def -/FontName /HIEAZG+CMR7 def +/FontName /BENDPP+CMR7 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def @@ -32413,37 +33090,37 @@ _2 cleartomark endstream endobj -577 0 obj << +597 0 obj << /Type /Font /Subtype /Type1 -/Encoding 1517 0 R +/Encoding 1556 0 R /FirstChar 49 /LastChar 58 -/Widths 1518 0 R -/BaseFont /HIEAZG+CMR7 -/FontDescriptor 575 0 R +/Widths 1557 0 R +/BaseFont /BENDPP+CMR7 +/FontDescriptor 595 0 R >> endobj -575 0 obj << +595 0 obj << /Ascent 694 /CapHeight 683 /Descent -194 -/FontName /HIEAZG+CMR7 +/FontName /BENDPP+CMR7 /ItalicAngle 0 /StemV 79 /XHeight 431 /FontBBox [-27 -250 1122 750] /Flags 4 /CharSet (/one/two/colon) -/FontFile 576 0 R +/FontFile 596 0 R >> endobj -1518 0 obj +1557 0 obj [569 569 0 0 0 0 0 0 0 323 ] endobj -1517 0 obj << +1556 0 obj << /Type /Encoding /Differences [ 0 /.notdef 49/one/two 51/.notdef 58/colon 59/.notdef] >> endobj -571 0 obj << +591 0 obj << /Length1 1719 /Length2 10393 /Length3 532 @@ -32463,7 +33140,7 @@ stream /ItalicAngle 0 def /isFixedPitch true def end readonly def -/FontName /UTVTPW+CMTT10 def +/FontName /GXISJL+CMTT10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def @@ -32583,41 +33260,41 @@ b cleartomark endstream endobj -572 0 obj << +592 0 obj << /Type /Font /Subtype /Type1 -/Encoding 1519 0 R +/Encoding 1558 0 R /FirstChar 40 /LastChar 126 -/Widths 1520 0 R -/BaseFont /UTVTPW+CMTT10 -/FontDescriptor 570 0 R +/Widths 1559 0 R +/BaseFont /GXISJL+CMTT10 +/FontDescriptor 590 0 R >> endobj -570 0 obj << +590 0 obj << /Ascent 611 /CapHeight 611 /Descent -222 -/FontName /UTVTPW+CMTT10 +/FontName /GXISJL+CMTT10 /ItalicAngle 0 /StemV 69 /XHeight 431 /FontBBox [-4 -235 731 800] /Flags 4 /CharSet (/parenleft/parenright/asterisk/plus/comma/hyphen/period/slash/zero/one/two/three/four/five/six/nine/colon/equal/A/B/C/E/F/I/K/L/N/O/P/S/T/W/Y/backslash/underscore/a/b/c/d/e/f/g/h/i/j/k/l/m/n/o/p/q/r/s/t/u/v/w/x/y/z/asciitilde) -/FontFile 571 0 R +/FontFile 591 0 R >> endobj -1520 0 obj +1559 0 obj [525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 0 0 525 525 0 0 525 0 0 0 525 525 525 0 525 525 0 0 525 0 525 525 0 525 525 525 0 0 525 525 0 0 525 0 525 0 0 525 0 0 525 0 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 525 0 0 0 525 ] endobj -1519 0 obj << +1558 0 obj << /Type /Encoding /Differences [ 0 /.notdef 40/parenleft/parenright/asterisk/plus/comma/hyphen/period/slash/zero/one/two/three/four/five/six 55/.notdef 57/nine/colon 59/.notdef 61/equal 62/.notdef 65/A/B/C 68/.notdef 69/E/F 71/.notdef 73/I 74/.notdef 75/K/L 77/.notdef 78/N/O/P 81/.notdef 83/S/T 85/.notdef 87/W 88/.notdef 89/Y 90/.notdef 92/backslash 93/.notdef 95/underscore 96/.notdef 97/a/b/c/d/e/f/g/h/i/j/k/l/m/n/o/p/q/r/s/t/u/v/w/x/y/z 123/.notdef 126/asciitilde 127/.notdef] >> endobj -565 0 obj << -/Length1 1341 -/Length2 8729 +585 0 obj << +/Length1 1369 +/Length2 9186 /Length3 532 -/Length 10602 +/Length 11087 >> stream %!PS-AdobeFont-1.1: CMMI10 1.100 @@ -32633,7 +33310,7 @@ stream /ItalicAngle -14.04 def /isFixedPitch false def end readonly def -/FontName /CEEVQF+CMMI10 def +/FontName /XQUKOV+CMMI10 def /PaintType 0 def /FontType 1 def /FontMatrix [0.001 0 0 0.001 0 0] readonly def @@ -32650,10 +33327,12 @@ dup 68 /D put dup 73 /I put dup 76 /L put dup 78 /N put +dup 79 /O 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+ name = 'psb_krylov' + call psb_erractionsave(err_act) + ictxt=psb_cd_get_context(desc_a) @@ -240,6 +246,21 @@ contains call psb_bicgstab(a,prec,b,x,eps,desc_a,info,& &itmax,iter,err,itrace,istop) end select + + if(info/=0) then + call psb_errpush(info,name) + goto 9999 + end if + + call psb_erractionrestore(err_act) + return + +9999 continue + call psb_erractionrestore(err_act) + if (err_act.eq.psb_act_abort_) then + call psb_error(ictxt) + return + end if end subroutine psb_dkrylov @@ -260,7 +281,13 @@ contains Integer, Optional, Intent(out) :: iter Real(Kind(1.d0)), Optional, Intent(out) :: err - integer :: ictxt,me,np + integer :: ictxt,me,np,err_act + character(len=20) :: name + + info = 0 + name = 'psb_krylov' + call psb_erractionsave(err_act) + ictxt=psb_cd_get_context(desc_a) @@ -292,11 +319,25 @@ contains call psb_bicgstab(a,prec,b,x,eps,desc_a,info,& &itmax,iter,err,itrace,istop) end select + + if(info/=0) then + call psb_errpush(info,name) + goto 9999 + end if + + call psb_erractionrestore(err_act) + return + +9999 continue + call psb_erractionrestore(err_act) + if (err_act.eq.psb_act_abort_) then + call psb_error(ictxt) + return + end if end subroutine psb_zkrylov - end module psb_krylov_mod