You cannot select more than 25 topics
Topics must start with a letter or number, can include dashes ('-') and can be up to 35 characters long.
541 lines
17 KiB
Fortran
541 lines
17 KiB
Fortran
!!$
|
|
!!$ Parallel Sparse BLAS version 3.4
|
|
!!$ (C) Copyright 2006, 2010, 2015
|
|
!!$ Salvatore Filippone University of Rome Tor Vergata
|
|
!!$ Alfredo Buttari CNRS-IRIT, Toulouse
|
|
!!$
|
|
!!$ Redistribution and use in source and binary forms, with or without
|
|
!!$ modification, are permitted provided that the following conditions
|
|
!!$ are met:
|
|
!!$ 1. Redistributions of source code must retain the above copyright
|
|
!!$ notice, this list of conditions and the following disclaimer.
|
|
!!$ 2. Redistributions in binary form must reproduce the above copyright
|
|
!!$ notice, this list of conditions, and the following disclaimer in the
|
|
!!$ documentation and/or other materials provided with the distribution.
|
|
!!$ 3. The name of the PSBLAS group or the names of its contributors may
|
|
!!$ not be used to endorse or promote products derived from this
|
|
!!$ software without specific written permission.
|
|
!!$
|
|
!!$ THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
|
|
!!$ ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
|
|
!!$ TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
|
|
!!$ PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE PSBLAS GROUP OR ITS CONTRIBUTORS
|
|
!!$ BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
|
|
!!$ CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
|
|
!!$ SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
|
|
!!$ INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
|
|
!!$ CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
|
|
!!$ ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
|
|
!!$ POSSIBILITY OF SUCH DAMAGE.
|
|
!!$
|
|
!!$
|
|
!
|
|
! Sorting routines
|
|
! References:
|
|
! D. Knuth
|
|
! The Art of Computer Programming, vol. 3
|
|
! Addison-Wesley
|
|
!
|
|
! Aho, Hopcroft, Ullman
|
|
! Data Structures and Algorithms
|
|
! Addison-Wesley
|
|
!
|
|
module psb_d_sort_mod
|
|
use psb_const_mod
|
|
|
|
|
|
type psb_d_heap
|
|
integer(psb_ipk_) :: last, dir
|
|
real(psb_dpk_), allocatable :: keys(:)
|
|
contains
|
|
procedure, pass(heap) :: init => psb_d_init_heap
|
|
procedure, pass(heap) :: howmany => psb_d_howmany
|
|
procedure, pass(heap) :: insert => psb_d_insert_heap
|
|
procedure, pass(heap) :: get_first => psb_d_heap_get_first
|
|
procedure, pass(heap) :: dump => psb_d_dump_heap
|
|
procedure, pass(heap) :: free => psb_d_free_heap
|
|
end type psb_d_heap
|
|
|
|
type psb_d_idx_heap
|
|
integer(psb_ipk_) :: last, dir
|
|
real(psb_dpk_), allocatable :: keys(:)
|
|
integer(psb_ipk_), allocatable :: idxs(:)
|
|
contains
|
|
procedure, pass(heap) :: init => psb_d_idx_init_heap
|
|
procedure, pass(heap) :: howmany => psb_d_idx_howmany
|
|
procedure, pass(heap) :: insert => psb_d_idx_insert_heap
|
|
procedure, pass(heap) :: get_first => psb_d_idx_heap_get_first
|
|
procedure, pass(heap) :: dump => psb_d_idx_dump_heap
|
|
procedure, pass(heap) :: free => psb_d_idx_free_heap
|
|
end type psb_d_idx_heap
|
|
|
|
|
|
interface psb_msort
|
|
subroutine psb_dmsort(x,ix,dir,flag)
|
|
import
|
|
real(psb_dpk_), intent(inout) :: x(:)
|
|
integer(psb_ipk_), optional, intent(in) :: dir, flag
|
|
integer(psb_ipk_), optional, intent(inout) :: ix(:)
|
|
end subroutine psb_dmsort
|
|
end interface psb_msort
|
|
|
|
interface
|
|
subroutine psi_d_msort_up(n,k,l,iret)
|
|
import
|
|
implicit none
|
|
integer(psb_ipk_) :: n, iret
|
|
real(psb_dpk_) :: k(n)
|
|
integer(psb_ipk_) :: l(0:n+1)
|
|
end subroutine psi_d_msort_up
|
|
subroutine psi_d_msort_dw(n,k,l,iret)
|
|
import
|
|
implicit none
|
|
integer(psb_ipk_) :: n, iret
|
|
real(psb_dpk_) :: k(n)
|
|
integer(psb_ipk_) :: l(0:n+1)
|
|
end subroutine psi_d_msort_dw
|
|
end interface
|
|
interface
|
|
subroutine psi_d_amsort_up(n,k,l,iret)
|
|
import
|
|
implicit none
|
|
integer(psb_ipk_) :: n, iret
|
|
real(psb_dpk_) :: k(n)
|
|
integer(psb_ipk_) :: l(0:n+1)
|
|
end subroutine psi_d_amsort_up
|
|
subroutine psi_d_amsort_dw(n,k,l,iret)
|
|
import
|
|
implicit none
|
|
integer(psb_ipk_) :: n, iret
|
|
real(psb_dpk_) :: k(n)
|
|
integer(psb_ipk_) :: l(0:n+1)
|
|
end subroutine psi_d_amsort_dw
|
|
end interface
|
|
|
|
|
|
interface psb_qsort
|
|
subroutine psb_dqsort(x,ix,dir,flag)
|
|
import
|
|
real(psb_dpk_), intent(inout) :: x(:)
|
|
integer(psb_ipk_), optional, intent(in) :: dir, flag
|
|
integer(psb_ipk_), optional, intent(inout) :: ix(:)
|
|
end subroutine psb_dqsort
|
|
end interface psb_qsort
|
|
|
|
interface psb_isort
|
|
subroutine psb_disort(x,ix,dir,flag)
|
|
import
|
|
real(psb_dpk_), intent(inout) :: x(:)
|
|
integer(psb_ipk_), optional, intent(in) :: dir, flag
|
|
integer(psb_ipk_), optional, intent(inout) :: ix(:)
|
|
end subroutine psb_disort
|
|
end interface psb_isort
|
|
|
|
|
|
interface psb_hsort
|
|
subroutine psb_dhsort(x,ix,dir,flag)
|
|
import
|
|
real(psb_dpk_), intent(inout) :: x(:)
|
|
integer(psb_ipk_), optional, intent(in) :: dir, flag
|
|
integer(psb_ipk_), optional, intent(inout) :: ix(:)
|
|
end subroutine psb_dhsort
|
|
end interface psb_hsort
|
|
|
|
|
|
interface
|
|
subroutine psi_d_insert_heap(key,last,heap,dir,info)
|
|
import
|
|
implicit none
|
|
|
|
!
|
|
! Input:
|
|
! key: the new value
|
|
! last: pointer to the last occupied element in heap
|
|
! heap: the heap
|
|
! dir: sorting direction
|
|
|
|
real(psb_dpk_), intent(in) :: key
|
|
real(psb_dpk_), intent(inout) :: heap(:)
|
|
integer(psb_ipk_), intent(in) :: dir
|
|
integer(psb_ipk_), intent(inout) :: last
|
|
integer(psb_ipk_), intent(out) :: info
|
|
end subroutine psi_d_insert_heap
|
|
end interface
|
|
|
|
interface
|
|
subroutine psi_d_idx_insert_heap(key,index,last,heap,idxs,dir,info)
|
|
import
|
|
implicit none
|
|
|
|
!
|
|
! Input:
|
|
! key: the new value
|
|
! last: pointer to the last occupied element in heap
|
|
! heap: the heap
|
|
! dir: sorting direction
|
|
|
|
real(psb_dpk_), intent(in) :: key
|
|
real(psb_dpk_), intent(inout) :: heap(:)
|
|
integer(psb_ipk_), intent(in) :: index
|
|
integer(psb_ipk_), intent(in) :: dir
|
|
integer(psb_ipk_), intent(inout) :: idxs(:)
|
|
integer(psb_ipk_), intent(inout) :: last
|
|
integer(psb_ipk_), intent(out) :: info
|
|
end subroutine psi_d_idx_insert_heap
|
|
end interface
|
|
|
|
|
|
interface
|
|
subroutine psi_d_heap_get_first(key,last,heap,dir,info)
|
|
import
|
|
implicit none
|
|
real(psb_dpk_), intent(inout) :: key
|
|
integer(psb_ipk_), intent(inout) :: last
|
|
integer(psb_ipk_), intent(in) :: dir
|
|
real(psb_dpk_), intent(inout) :: heap(:)
|
|
integer(psb_ipk_), intent(out) :: info
|
|
end subroutine psi_d_heap_get_first
|
|
end interface
|
|
|
|
interface
|
|
subroutine psi_d_idx_heap_get_first(key,index,last,heap,idxs,dir,info)
|
|
import
|
|
real(psb_dpk_), intent(inout) :: key
|
|
integer(psb_ipk_), intent(out) :: index
|
|
real(psb_dpk_), intent(inout) :: heap(:)
|
|
integer(psb_ipk_), intent(in) :: dir
|
|
integer(psb_ipk_), intent(inout) :: last
|
|
integer(psb_ipk_), intent(inout) :: idxs(:)
|
|
integer(psb_ipk_), intent(out) :: info
|
|
end subroutine psi_d_idx_heap_get_first
|
|
end interface
|
|
|
|
interface
|
|
subroutine psi_disrx_up(n,x,ix)
|
|
import
|
|
real(psb_dpk_), intent(inout) :: x(:)
|
|
integer(psb_ipk_), intent(inout) :: ix(:)
|
|
integer(psb_ipk_), intent(in) :: n
|
|
end subroutine psi_disrx_up
|
|
subroutine psi_disrx_dw(n,x,ix)
|
|
import
|
|
real(psb_dpk_), intent(inout) :: x(:)
|
|
integer(psb_ipk_), intent(inout) :: ix(:)
|
|
integer(psb_ipk_), intent(in) :: n
|
|
end subroutine psi_disrx_dw
|
|
subroutine psi_disr_up(n,x)
|
|
import
|
|
real(psb_dpk_), intent(inout) :: x(:)
|
|
integer(psb_ipk_), intent(in) :: n
|
|
end subroutine psi_disr_up
|
|
subroutine psi_disr_dw(n,x)
|
|
import
|
|
real(psb_dpk_), intent(inout) :: x(:)
|
|
integer(psb_ipk_), intent(in) :: n
|
|
end subroutine psi_disr_dw
|
|
subroutine psi_daisrx_up(n,x,ix)
|
|
import
|
|
real(psb_dpk_), intent(inout) :: x(:)
|
|
integer(psb_ipk_), intent(inout) :: ix(:)
|
|
integer(psb_ipk_), intent(in) :: n
|
|
end subroutine psi_daisrx_up
|
|
subroutine psi_daisrx_dw(n,x,ix)
|
|
import
|
|
real(psb_dpk_), intent(inout) :: x(:)
|
|
integer(psb_ipk_), intent(inout) :: ix(:)
|
|
integer(psb_ipk_), intent(in) :: n
|
|
end subroutine psi_daisrx_dw
|
|
subroutine psi_daisr_up(n,x)
|
|
import
|
|
real(psb_dpk_), intent(inout) :: x(:)
|
|
integer(psb_ipk_), intent(in) :: n
|
|
end subroutine psi_daisr_up
|
|
subroutine psi_daisr_dw(n,x)
|
|
import
|
|
real(psb_dpk_), intent(inout) :: x(:)
|
|
integer(psb_ipk_), intent(in) :: n
|
|
end subroutine psi_daisr_dw
|
|
end interface
|
|
|
|
interface
|
|
subroutine psi_dqsrx_up(n,x,ix)
|
|
import
|
|
real(psb_dpk_), intent(inout) :: x(:)
|
|
integer(psb_ipk_), intent(inout) :: ix(:)
|
|
integer(psb_ipk_), intent(in) :: n
|
|
end subroutine psi_dqsrx_up
|
|
subroutine psi_dqsrx_dw(n,x,ix)
|
|
import
|
|
real(psb_dpk_), intent(inout) :: x(:)
|
|
integer(psb_ipk_), intent(inout) :: ix(:)
|
|
integer(psb_ipk_), intent(in) :: n
|
|
end subroutine psi_dqsrx_dw
|
|
subroutine psi_dqsr_up(n,x)
|
|
import
|
|
real(psb_dpk_), intent(inout) :: x(:)
|
|
integer(psb_ipk_), intent(in) :: n
|
|
end subroutine psi_dqsr_up
|
|
subroutine psi_dqsr_dw(n,x)
|
|
import
|
|
real(psb_dpk_), intent(inout) :: x(:)
|
|
integer(psb_ipk_), intent(in) :: n
|
|
end subroutine psi_dqsr_dw
|
|
subroutine psi_daqsrx_up(n,x,ix)
|
|
import
|
|
real(psb_dpk_), intent(inout) :: x(:)
|
|
integer(psb_ipk_), intent(inout) :: ix(:)
|
|
integer(psb_ipk_), intent(in) :: n
|
|
end subroutine psi_daqsrx_up
|
|
subroutine psi_daqsrx_dw(n,x,ix)
|
|
import
|
|
real(psb_dpk_), intent(inout) :: x(:)
|
|
integer(psb_ipk_), intent(inout) :: ix(:)
|
|
integer(psb_ipk_), intent(in) :: n
|
|
end subroutine psi_daqsrx_dw
|
|
subroutine psi_daqsr_up(n,x)
|
|
import
|
|
real(psb_dpk_), intent(inout) :: x(:)
|
|
integer(psb_ipk_), intent(in) :: n
|
|
end subroutine psi_daqsr_up
|
|
subroutine psi_daqsr_dw(n,x)
|
|
import
|
|
real(psb_dpk_), intent(inout) :: x(:)
|
|
integer(psb_ipk_), intent(in) :: n
|
|
end subroutine psi_daqsr_dw
|
|
end interface
|
|
|
|
contains
|
|
|
|
subroutine psb_d_init_heap(heap,info,dir)
|
|
use psb_realloc_mod, only : psb_ensure_size
|
|
implicit none
|
|
class(psb_d_heap), intent(inout) :: heap
|
|
integer(psb_ipk_), intent(out) :: info
|
|
integer(psb_ipk_), intent(in), optional :: dir
|
|
|
|
info = psb_success_
|
|
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(psb_err_unit,*) '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_d_init_heap
|
|
|
|
|
|
function psb_d_howmany(heap) result(res)
|
|
implicit none
|
|
class(psb_d_heap), intent(in) :: heap
|
|
integer(psb_ipk_) :: res
|
|
res = heap%last
|
|
end function psb_d_howmany
|
|
|
|
subroutine psb_d_insert_heap(key,heap,info)
|
|
use psb_realloc_mod, only : psb_ensure_size
|
|
implicit none
|
|
|
|
real(psb_dpk_), intent(in) :: key
|
|
class(psb_d_heap), intent(inout) :: heap
|
|
integer(psb_ipk_), intent(out) :: info
|
|
|
|
info = psb_success_
|
|
if (heap%last < 0) then
|
|
write(psb_err_unit,*) '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 /= psb_success_) then
|
|
write(psb_err_unit,*) 'Memory allocation failure in heap_insert'
|
|
info = -5
|
|
return
|
|
end if
|
|
call psi_d_insert_heap(key,&
|
|
& heap%last,heap%keys,heap%dir,info)
|
|
|
|
return
|
|
end subroutine psb_d_insert_heap
|
|
|
|
subroutine psb_d_heap_get_first(key,heap,info)
|
|
implicit none
|
|
|
|
class(psb_d_heap), intent(inout) :: heap
|
|
integer(psb_ipk_), intent(out) :: info
|
|
real(psb_dpk_), intent(out) :: key
|
|
|
|
|
|
info = psb_success_
|
|
|
|
call psi_d_heap_get_first(key,&
|
|
& heap%last,heap%keys,heap%dir,info)
|
|
|
|
return
|
|
end subroutine psb_d_heap_get_first
|
|
|
|
subroutine psb_d_dump_heap(iout,heap,info)
|
|
|
|
implicit none
|
|
class(psb_d_heap), intent(in) :: heap
|
|
integer(psb_ipk_), intent(out) :: info
|
|
integer(psb_ipk_), intent(in) :: iout
|
|
|
|
info = psb_success_
|
|
if (iout < 0) then
|
|
write(psb_err_unit,*) '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)<heap%last))) then
|
|
write(iout,*) 'Inconsistent size/allocation status!!'
|
|
else
|
|
write(iout,*) heap%keys(1:heap%last)
|
|
end if
|
|
end subroutine psb_d_dump_heap
|
|
|
|
subroutine psb_d_free_heap(heap,info)
|
|
implicit none
|
|
class(psb_d_heap), intent(inout) :: heap
|
|
integer(psb_ipk_), intent(out) :: info
|
|
|
|
info=psb_success_
|
|
if (allocated(heap%keys)) deallocate(heap%keys,stat=info)
|
|
|
|
end subroutine psb_d_free_heap
|
|
|
|
subroutine psb_d_idx_init_heap(heap,info,dir)
|
|
use psb_realloc_mod, only : psb_ensure_size
|
|
implicit none
|
|
class(psb_d_idx_heap), intent(inout) :: heap
|
|
integer(psb_ipk_), intent(out) :: info
|
|
integer(psb_ipk_), intent(in), optional :: dir
|
|
|
|
info = psb_success_
|
|
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(psb_err_unit,*) '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_d_idx_init_heap
|
|
|
|
|
|
function psb_d_idx_howmany(heap) result(res)
|
|
implicit none
|
|
class(psb_d_idx_heap), intent(in) :: heap
|
|
integer(psb_ipk_) :: res
|
|
res = heap%last
|
|
end function psb_d_idx_howmany
|
|
|
|
subroutine psb_d_idx_insert_heap(key,index,heap,info)
|
|
use psb_realloc_mod, only : psb_ensure_size
|
|
implicit none
|
|
|
|
real(psb_dpk_), intent(in) :: key
|
|
integer(psb_ipk_), intent(in) :: index
|
|
class(psb_d_idx_heap), intent(inout) :: heap
|
|
integer(psb_ipk_), intent(out) :: info
|
|
|
|
info = psb_success_
|
|
if (heap%last < 0) then
|
|
write(psb_err_unit,*) '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 == psb_success_) &
|
|
& call psb_ensure_size(heap%last+1,heap%idxs,info,addsz=psb_heap_resize)
|
|
if (info /= psb_success_) then
|
|
write(psb_err_unit,*) 'Memory allocation failure in heap_insert'
|
|
info = -5
|
|
return
|
|
end if
|
|
call psi_d_idx_insert_heap(key,index,&
|
|
& heap%last,heap%keys,heap%idxs,heap%dir,info)
|
|
|
|
return
|
|
end subroutine psb_d_idx_insert_heap
|
|
|
|
subroutine psb_d_idx_heap_get_first(key,index,heap,info)
|
|
implicit none
|
|
|
|
class(psb_d_idx_heap), intent(inout) :: heap
|
|
integer(psb_ipk_), intent(out) :: index,info
|
|
real(psb_dpk_), intent(out) :: key
|
|
|
|
|
|
info = psb_success_
|
|
|
|
call psi_d_idx_heap_get_first(key,index,&
|
|
& heap%last,heap%keys,heap%idxs,heap%dir,info)
|
|
|
|
return
|
|
end subroutine psb_d_idx_heap_get_first
|
|
|
|
subroutine psb_d_idx_dump_heap(iout,heap,info)
|
|
|
|
implicit none
|
|
class(psb_d_idx_heap), intent(in) :: heap
|
|
integer(psb_ipk_), intent(out) :: info
|
|
integer(psb_ipk_), intent(in) :: iout
|
|
|
|
info = psb_success_
|
|
if (iout < 0) then
|
|
write(psb_err_unit,*) '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)<heap%last))) then
|
|
write(iout,*) 'Inconsistent size/allocation status!!'
|
|
else if ((heap%last > 0).and.((.not.allocated(heap%idxs)).or.&
|
|
& (size(heap%idxs)<heap%last))) then
|
|
write(iout,*) 'Inconsistent size/allocation status!!'
|
|
else
|
|
write(iout,*) heap%keys(1:heap%last)
|
|
write(iout,*) heap%idxs(1:heap%last)
|
|
end if
|
|
end subroutine psb_d_idx_dump_heap
|
|
|
|
subroutine psb_d_idx_free_heap(heap,info)
|
|
implicit none
|
|
class(psb_d_idx_heap), intent(inout) :: heap
|
|
integer(psb_ipk_), intent(out) :: info
|
|
|
|
info=psb_success_
|
|
if (allocated(heap%keys)) deallocate(heap%keys,stat=info)
|
|
if ((info == psb_success_).and.(allocated(heap%idxs))) deallocate(heap%idxs,stat=info)
|
|
|
|
end subroutine psb_d_idx_free_heap
|
|
|
|
end module psb_d_sort_mod
|