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psblas3/base/modules/psb_sort_mod.f90

649 lines
25 KiB
Fortran

!!$
!!$ Parallel Sparse BLAS version 2.2
!!$ (C) Copyright 2006/2007/2008
!!$ 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.
!!$
!!$
!
! The merge-sort and quicksort routines are implemented in the
! serial/aux directory
! References:
! D. Knuth
! The Art of Computer Programming, vol. 3
! Addison-Wesley
!
! Aho, Hopcroft, Ullman
! Data Structures and Algorithms
! Addison-Wesley
!
module psb_sort_mod
use psb_const_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
integer, parameter :: psb_alsort_up_ = 4, psb_alsort_down_ = -4
integer, parameter :: psb_sort_ovw_idx_ = 0, psb_sort_keep_idx_ = 1
integer, parameter :: psb_heap_resize = 200
type psb_int_heap
integer :: last, dir
integer, allocatable :: keys(:)
end type psb_int_heap
type psb_int_idx_heap
integer :: last, dir
integer, allocatable :: keys(:)
integer, allocatable :: idxs(:)
end type psb_int_idx_heap
type psb_real_idx_heap
integer :: last, dir
real(psb_spk_), allocatable :: keys(:)
integer, allocatable :: idxs(:)
end type psb_real_idx_heap
type psb_double_idx_heap
integer :: last, dir
real(psb_dpk_), allocatable :: keys(:)
integer, allocatable :: idxs(:)
end type psb_double_idx_heap
type psb_scomplex_idx_heap
integer :: last, dir
complex(psb_spk_), allocatable :: keys(:)
integer, allocatable :: idxs(:)
end type psb_scomplex_idx_heap
type psb_dcomplex_idx_heap
integer :: last, dir
complex(psb_dpk_), allocatable :: keys(:)
integer, allocatable :: idxs(:)
end type psb_dcomplex_idx_heap
interface psb_ibsrch
function psb_ibsrch(key,n,v) result(ipos)
integer ipos, key, n
integer v(n)
end function psb_ibsrch
end interface
interface psb_issrch
function psb_issrch(key,n,v) result(ipos)
implicit none
integer ipos, key, n
integer v(n)
end function psb_issrch
end interface
interface psb_isaperm
logical function psb_isaperm(n,eip)
integer, intent(in) :: n
integer, intent(in) :: eip(n)
integer, allocatable :: ip(:)
end function psb_isaperm
end interface
interface psb_msort
subroutine imsort(x,ix,dir,flag)
integer, intent(inout) :: x(:)
integer, optional, intent(in) :: dir, flag
integer, optional, intent(inout) :: ix(:)
end subroutine imsort
subroutine smsort(x,ix,dir,flag)
use psb_const_mod
real(psb_spk_), intent(inout) :: x(:)
integer, optional, intent(in) :: dir, flag
integer, optional, intent(inout) :: ix(:)
end subroutine smsort
subroutine dmsort(x,ix,dir,flag)
use psb_const_mod
real(psb_dpk_), intent(inout) :: x(:)
integer, optional, intent(in) :: dir, flag
integer, optional, intent(inout) :: ix(:)
end subroutine dmsort
subroutine camsort(x,ix,dir,flag)
use psb_const_mod
complex(psb_spk_), intent(inout) :: x(:)
integer, optional, intent(in) :: dir, flag
integer, optional, intent(inout) :: ix(:)
end subroutine camsort
subroutine zamsort(x,ix,dir,flag)
use psb_const_mod
complex(psb_dpk_), intent(inout) :: x(:)
integer, optional, intent(in) :: dir, flag
integer, optional, intent(inout) :: ix(:)
end subroutine zamsort
end interface
interface psb_msort_unique
subroutine imsort_u(x,nout,dir)
integer, intent(inout) :: x(:)
integer, intent(out) :: nout
integer, optional, intent(in) :: dir
end subroutine imsort_u
end interface
interface psb_qsort
subroutine iqsort(x,ix,dir,flag)
integer, intent(inout) :: x(:)
integer, optional, intent(in) :: dir, flag
integer, optional, intent(inout) :: ix(:)
end subroutine iqsort
subroutine sqsort(x,ix,dir,flag)
use psb_const_mod
real(psb_spk_), intent(inout) :: x(:)
integer, optional, intent(in) :: dir, flag
integer, optional, intent(inout) :: ix(:)
end subroutine sqsort
subroutine dqsort(x,ix,dir,flag)
use psb_const_mod
real(psb_dpk_), intent(inout) :: x(:)
integer, optional, intent(in) :: dir, flag
integer, optional, intent(inout) :: ix(:)
end subroutine dqsort
subroutine cqsort(x,ix,dir,flag)
use psb_const_mod
complex(psb_spk_), intent(inout) :: x(:)
integer, optional, intent(in) :: dir, flag
integer, optional, intent(inout) :: ix(:)
end subroutine cqsort
subroutine zqsort(x,ix,dir,flag)
use psb_const_mod
complex(psb_dpk_), intent(inout) :: x(:)
integer, optional, intent(in) :: dir, flag
integer, optional, intent(inout) :: ix(:)
end subroutine zqsort
end interface
interface psb_hsort
!!$ module procedure ihsort, shsort, chsort, dhsort, zhsort
subroutine ihsort(x,ix,dir,flag)
use psb_const_mod
integer, intent(inout) :: x(:)
integer, optional, intent(in) :: dir, flag
integer, optional, intent(inout) :: ix(:)
end subroutine ihsort
subroutine shsort(x,ix,dir,flag)
use psb_const_mod
real(psb_spk_), intent(inout) :: x(:)
integer, optional, intent(in) :: dir, flag
integer, optional, intent(inout) :: ix(:)
end subroutine shsort
subroutine dhsort(x,ix,dir,flag)
use psb_const_mod
real(psb_dpk_), intent(inout) :: x(:)
integer, optional, intent(in) :: dir, flag
integer, optional, intent(inout) :: ix(:)
end subroutine dhsort
subroutine chsort(x,ix,dir,flag)
use psb_const_mod
complex(psb_spk_), intent(inout) :: x(:)
integer, optional, intent(in) :: dir, flag
integer, optional, intent(inout) :: ix(:)
end subroutine chsort
subroutine zhsort(x,ix,dir,flag)
use psb_const_mod
complex(psb_dpk_), intent(inout) :: x(:)
integer, optional, intent(in) :: dir, flag
integer, optional, intent(inout) :: ix(:)
end subroutine zhsort
end interface
interface psb_howmany_heap
function psb_howmany_int_heap(heap)
import psb_int_heap
type(psb_int_heap), intent(in) :: heap
integer :: psb_howmany_int_heap
end function psb_howmany_int_heap
function psb_howmany_real_idx_heap(heap)
import psb_real_idx_heap
type(psb_real_idx_heap), intent(in) :: heap
integer :: psb_howmany_real_idx_heap
end function psb_howmany_real_idx_heap
function psb_howmany_double_idx_heap(heap)
import psb_double_idx_heap
type(psb_double_idx_heap), intent(in) :: heap
integer :: psb_howmany_double_idx_heap
end function psb_howmany_double_idx_heap
function psb_howmany_int_idx_heap(heap)
import psb_int_idx_heap
type(psb_int_idx_heap), intent(in) :: heap
integer :: psb_howmany_int_idx_heap
end function psb_howmany_int_idx_heap
function psb_howmany_scomplex_idx_heap(heap)
import psb_scomplex_idx_heap
type(psb_scomplex_idx_heap), intent(in) :: heap
integer :: psb_howmany_scomplex_idx_heap
end function psb_howmany_scomplex_idx_heap
function psb_howmany_dcomplex_idx_heap(heap)
import psb_dcomplex_idx_heap
type(psb_dcomplex_idx_heap), intent(in) :: heap
integer :: psb_howmany_dcomplex_idx_heap
end function psb_howmany_dcomplex_idx_heap
end interface
interface psb_init_heap
subroutine psb_init_int_heap(heap,info,dir)
import psb_int_heap
type(psb_int_heap), intent(inout) :: heap
integer, intent(out) :: info
integer, intent(in), optional :: dir
end subroutine psb_init_int_heap
subroutine psb_init_real_idx_heap(heap,info,dir)
import psb_real_idx_heap
type(psb_real_idx_heap), intent(inout) :: heap
integer, intent(out) :: info
integer, intent(in), optional :: dir
end subroutine psb_init_real_idx_heap
subroutine psb_init_int_idx_heap(heap,info,dir)
import psb_int_idx_heap
type(psb_int_idx_heap), intent(inout) :: heap
integer, intent(out) :: info
integer, intent(in), optional :: dir
end subroutine psb_init_int_idx_heap
subroutine psb_init_scomplex_idx_heap(heap,info,dir)
import psb_scomplex_idx_heap
type(psb_scomplex_idx_heap), intent(inout) :: heap
integer, intent(out) :: info
integer, intent(in), optional :: dir
end subroutine psb_init_scomplex_idx_heap
subroutine psb_init_dcomplex_idx_heap(heap,info,dir)
import psb_dcomplex_idx_heap
type(psb_dcomplex_idx_heap), intent(inout) :: heap
integer, intent(out) :: info
integer, intent(in), optional :: dir
end subroutine psb_init_dcomplex_idx_heap
subroutine psb_init_double_idx_heap(heap,info,dir)
import psb_double_idx_heap
type(psb_double_idx_heap), intent(inout) :: heap
integer, intent(out) :: info
integer, intent(in), optional :: dir
end subroutine psb_init_double_idx_heap
end interface
interface psb_dump_heap
subroutine psb_dump_int_heap(iout,heap,info)
import psb_int_heap
type(psb_int_heap), intent(in) :: heap
integer, intent(out) :: info
integer, intent(in) :: iout
end subroutine psb_dump_int_heap
subroutine psb_dump_real_idx_heap(iout,heap,info)
import psb_real_idx_heap
type(psb_real_idx_heap), intent(in) :: heap
integer, intent(out) :: info
integer, intent(in) :: iout
end subroutine psb_dump_real_idx_heap
subroutine psb_dump_double_idx_heap(iout,heap,info)
import psb_double_idx_heap
type(psb_double_idx_heap), intent(in) :: heap
integer, intent(out) :: info
integer, intent(in) :: iout
end subroutine psb_dump_double_idx_heap
subroutine psb_dump_int_idx_heap(iout,heap,info)
import psb_int_idx_heap
type(psb_int_idx_heap), intent(in) :: heap
integer, intent(out) :: info
integer, intent(in) :: iout
end subroutine psb_dump_int_idx_heap
subroutine psb_dump_scomplex_idx_heap(iout,heap,info)
import psb_scomplex_idx_heap
type(psb_scomplex_idx_heap), intent(in) :: heap
integer, intent(out) :: info
integer, intent(in) :: iout
end subroutine psb_dump_scomplex_idx_heap
subroutine psb_dump_dcomplex_idx_heap(iout,heap,info)
import psb_dcomplex_idx_heap
type(psb_dcomplex_idx_heap), intent(in) :: heap
integer, intent(out) :: info
integer, intent(in) :: iout
end subroutine psb_dump_dcomplex_idx_heap
end interface
interface psb_insert_heap
subroutine psb_insert_int_heap(key,heap,info)
import psb_int_heap
integer, intent(in) :: key
type(psb_int_heap), intent(inout) :: heap
integer, intent(out) :: info
end subroutine psb_insert_int_heap
subroutine psb_insert_int_idx_heap(key,index,heap,info)
import psb_dpk_, psb_int_idx_heap
integer, intent(in) :: key
integer, intent(in) :: index
type(psb_int_idx_heap), intent(inout) :: heap
integer, intent(out) :: info
end subroutine psb_insert_int_idx_heap
subroutine psb_insert_real_idx_heap(key,index,heap,info)
import psb_spk_, psb_real_idx_heap
real(psb_spk_), intent(in) :: key
integer, intent(in) :: index
type(psb_real_idx_heap), intent(inout) :: heap
integer, intent(out) :: info
end subroutine psb_insert_real_idx_heap
subroutine psb_insert_double_idx_heap(key,index,heap,info)
import psb_dpk_, psb_double_idx_heap
real(psb_dpk_), intent(in) :: key
integer, intent(in) :: index
type(psb_double_idx_heap), intent(inout) :: heap
integer, intent(out) :: info
end subroutine psb_insert_double_idx_heap
subroutine psb_insert_scomplex_idx_heap(key,index,heap,info)
import psb_spk_, psb_scomplex_idx_heap
complex(psb_spk_), intent(in) :: key
integer, intent(in) :: index
type(psb_scomplex_idx_heap), intent(inout) :: heap
integer, intent(out) :: info
end subroutine psb_insert_scomplex_idx_heap
subroutine psb_insert_dcomplex_idx_heap(key,index,heap,info)
import psb_dpk_, psb_dcomplex_idx_heap
complex(psb_dpk_), intent(in) :: key
integer, intent(in) :: index
type(psb_dcomplex_idx_heap), intent(inout) :: heap
integer, intent(out) :: info
end subroutine psb_insert_dcomplex_idx_heap
end interface
interface psb_heap_get_first
subroutine psb_int_heap_get_first(key,heap,info)
import psb_int_heap
type(psb_int_heap), intent(inout) :: heap
integer, intent(out) :: key,info
end subroutine psb_int_heap_get_first
subroutine psb_int_idx_heap_get_first(key,index,heap,info)
import psb_int_idx_heap
type(psb_int_idx_heap), intent(inout) :: heap
integer, intent(out) :: index,info
integer, intent(out) :: key
end subroutine psb_int_idx_heap_get_first
subroutine psb_real_idx_heap_get_first(key,index,heap,info)
import psb_spk_, psb_real_idx_heap
type(psb_real_idx_heap), intent(inout) :: heap
integer, intent(out) :: index,info
real(psb_spk_), intent(out) :: key
end subroutine psb_real_idx_heap_get_first
subroutine psb_double_idx_heap_get_first(key,index,heap,info)
import psb_dpk_, psb_double_idx_heap
type(psb_double_idx_heap), intent(inout) :: heap
integer, intent(out) :: index,info
real(psb_dpk_), intent(out) :: key
end subroutine psb_double_idx_heap_get_first
subroutine psb_scomplex_idx_heap_get_first(key,index,heap,info)
import psb_spk_, psb_scomplex_idx_heap
type(psb_scomplex_idx_heap), intent(inout) :: heap
integer, intent(out) :: index,info
complex(psb_spk_), intent(out) :: key
end subroutine psb_scomplex_idx_heap_get_first
subroutine psb_dcomplex_idx_heap_get_first(key,index,heap,info)
import psb_dpk_, psb_dcomplex_idx_heap
type(psb_dcomplex_idx_heap), intent(inout) :: heap
integer, intent(out) :: index,info
complex(psb_dpk_), intent(out) :: key
end subroutine psb_dcomplex_idx_heap_get_first
end interface
interface
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
end subroutine psi_insert_int_heap
end interface
interface
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
end subroutine psi_int_heap_get_first
end interface
interface
subroutine psi_insert_real_heap(key,last,heap,dir,info)
import psb_spk_
real(psb_spk_), intent(in) :: key
integer, intent(in) :: dir
real(psb_spk_), intent(inout) :: heap(:)
integer, intent(inout) :: last
integer, intent(out) :: info
integer :: i, i2
real(psb_spk_) :: temp
end subroutine psi_insert_real_heap
end interface
interface
subroutine psi_real_heap_get_first(key,last,heap,dir,info)
import psb_spk_
real(psb_spk_), intent(inout) :: key
integer, intent(inout) :: last
integer, intent(in) :: dir
real(psb_spk_), intent(inout) :: heap(:)
integer, intent(out) :: info
end subroutine psi_real_heap_get_first
end interface
interface
subroutine psi_insert_double_heap(key,last,heap,dir,info)
import psb_dpk_
real(psb_dpk_), intent(in) :: key
integer, intent(in) :: dir
real(psb_dpk_), intent(inout) :: heap(:)
integer, intent(inout) :: last
integer, intent(out) :: info
integer :: i, i2
real(psb_dpk_) :: temp
end subroutine psi_insert_double_heap
end interface
interface
subroutine psi_double_heap_get_first(key,last,heap,dir,info)
import psb_dpk_
real(psb_dpk_), intent(inout) :: key
integer, intent(inout) :: last
integer, intent(in) :: dir
real(psb_dpk_), intent(inout) :: heap(:)
integer, intent(out) :: info
end subroutine psi_double_heap_get_first
end interface
interface
subroutine psi_insert_scomplex_heap(key,last,heap,dir,info)
import psb_spk_
complex(psb_spk_), intent(in) :: key
integer, intent(in) :: dir
complex(psb_spk_), intent(inout) :: heap(:)
integer, intent(inout) :: last
integer, intent(out) :: info
end subroutine psi_insert_scomplex_heap
end interface
interface
subroutine psi_scomplex_heap_get_first(key,last,heap,dir,info)
import psb_spk_
complex(psb_spk_), intent(inout) :: key
integer, intent(inout) :: last
integer, intent(in) :: dir
complex(psb_spk_), intent(inout) :: heap(:)
integer, intent(out) :: info
end subroutine psi_scomplex_heap_get_first
end interface
interface
subroutine psi_insert_dcomplex_heap(key,last,heap,dir,info)
import psb_dpk_
complex(psb_dpk_), intent(in) :: key
integer, intent(in) :: dir
complex(psb_dpk_), intent(inout) :: heap(:)
integer, intent(inout) :: last
integer, intent(out) :: info
end subroutine psi_insert_dcomplex_heap
end interface
interface
subroutine psi_dcomplex_heap_get_first(key,last,heap,dir,info)
import psb_dpk_
complex(psb_dpk_), intent(inout) :: key
integer, intent(inout) :: last
integer, intent(in) :: dir
complex(psb_dpk_), intent(inout) :: heap(:)
integer, intent(out) :: info
end subroutine psi_dcomplex_heap_get_first
end interface
interface
subroutine psi_insert_int_idx_heap(key,index,last,heap,idxs,dir,info)
integer, intent(in) :: key
integer, intent(in) :: index,dir
integer, intent(inout) :: heap(:),last
integer, intent(inout) :: idxs(:)
integer, intent(out) :: info
end subroutine psi_insert_int_idx_heap
end interface
interface
subroutine psi_int_idx_heap_get_first(key,index,last,heap,idxs,dir,info)
integer, intent(inout) :: heap(:)
integer, intent(out) :: index,info
integer, intent(inout) :: last,idxs(:)
integer, intent(in) :: dir
integer, intent(out) :: key
end subroutine psi_int_idx_heap_get_first
end interface
interface
subroutine psi_insert_real_idx_heap(key,index,last,heap,idxs,dir,info)
import psb_spk_
real(psb_spk_), intent(in) :: key
integer, intent(in) :: index,dir
real(psb_spk_), intent(inout) :: heap(:)
integer, intent(inout) :: idxs(:),last
integer, intent(out) :: info
end subroutine psi_insert_real_idx_heap
end interface
interface
subroutine psi_real_idx_heap_get_first(key,index,last,heap,idxs,dir,info)
import psb_spk_
real(psb_spk_), intent(inout) :: heap(:)
integer, intent(out) :: index,info
integer, intent(inout) :: last,idxs(:)
integer, intent(in) :: dir
real(psb_spk_), intent(out) :: key
end subroutine psi_real_idx_heap_get_first
end interface
interface
subroutine psi_insert_double_idx_heap(key,index,last,heap,idxs,dir,info)
import psb_dpk_
real(psb_dpk_), intent(in) :: key
integer, intent(in) :: index,dir
real(psb_dpk_), intent(inout) :: heap(:)
integer, intent(inout) :: idxs(:),last
integer, intent(out) :: info
end subroutine psi_insert_double_idx_heap
end interface
interface
subroutine psi_double_idx_heap_get_first(key,index,last,heap,idxs,dir,info)
import psb_dpk_
real(psb_dpk_), intent(inout) :: heap(:)
integer, intent(out) :: index,info
integer, intent(inout) :: last,idxs(:)
integer, intent(in) :: dir
real(psb_dpk_), intent(out) :: key
end subroutine psi_double_idx_heap_get_first
end interface
interface
subroutine psi_insert_scomplex_idx_heap(key,index,last,heap,idxs,dir,info)
import psb_spk_
complex(psb_spk_), intent(in) :: key
integer, intent(in) :: index,dir
complex(psb_spk_), intent(inout) :: heap(:)
integer, intent(inout) :: idxs(:),last
integer, intent(out) :: info
end subroutine psi_insert_scomplex_idx_heap
end interface
interface
subroutine psi_scomplex_idx_heap_get_first(key,index,last,heap,idxs,dir,info)
import psb_spk_
complex(psb_spk_), intent(inout) :: heap(:)
integer, intent(out) :: index,info
integer, intent(inout) :: last,idxs(:)
integer, intent(in) :: dir
complex(psb_spk_), intent(out) :: key
end subroutine psi_scomplex_idx_heap_get_first
end interface
interface
subroutine psi_insert_dcomplex_idx_heap(key,index,last,heap,idxs,dir,info)
import psb_dpk_
complex(psb_dpk_), intent(in) :: key
integer, intent(in) :: index,dir
complex(psb_dpk_), intent(inout) :: heap(:)
integer, intent(inout) :: idxs(:),last
integer, intent(out) :: info
end subroutine psi_insert_dcomplex_idx_heap
end interface
interface
subroutine psi_dcomplex_idx_heap_get_first(key,index,last,heap,idxs,dir,info)
import psb_dpk_
complex(psb_dpk_), intent(inout) :: heap(:)
integer, intent(out) :: index,info
integer, intent(inout) :: last,idxs(:)
integer, intent(in) :: dir
complex(psb_dpk_), intent(out) :: key
end subroutine psi_dcomplex_idx_heap_get_first
end interface
end module psb_sort_mod