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psblas3/base/modules/psb_sort_mod.f90

753 lines
32 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.
!!$
!!$
!
! 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
use psb_ip_reord_mod
use psb_i_sort_mod
use psb_s_sort_mod
use psb_c_sort_mod
use psb_d_sort_mod
use psb_z_sort_mod
!!$module psb_sort_mod
!!$ use psb_const_mod
!!$
!!$
!!$ type psb_int_heap
!!$ integer(psb_ipk_) :: last, dir
!!$ integer(psb_ipk_), allocatable :: keys(:)
!!$ end type psb_int_heap
!!$ type psb_int_idx_heap
!!$ integer(psb_ipk_) :: last, dir
!!$ integer(psb_ipk_), allocatable :: keys(:)
!!$ integer(psb_ipk_), allocatable :: idxs(:)
!!$ end type psb_int_idx_heap
!!$ type psb_sreal_idx_heap
!!$ integer(psb_ipk_) :: last, dir
!!$ real(psb_spk_), allocatable :: keys(:)
!!$ integer(psb_ipk_), allocatable :: idxs(:)
!!$ end type psb_sreal_idx_heap
!!$ type psb_dreal_idx_heap
!!$ integer(psb_ipk_) :: last, dir
!!$ real(psb_dpk_), allocatable :: keys(:)
!!$ integer(psb_ipk_), allocatable :: idxs(:)
!!$ end type psb_dreal_idx_heap
!!$ type psb_scomplex_idx_heap
!!$ integer(psb_ipk_) :: last, dir
!!$ complex(psb_spk_), allocatable :: keys(:)
!!$ integer(psb_ipk_), allocatable :: idxs(:)
!!$ end type psb_scomplex_idx_heap
!!$ type psb_dcomplex_idx_heap
!!$ integer(psb_ipk_) :: last, dir
!!$ complex(psb_dpk_), allocatable :: keys(:)
!!$ integer(psb_ipk_), allocatable :: idxs(:)
!!$ end type psb_dcomplex_idx_heap
!!$
!!$
!!$ interface psb_iblsrch
!!$ function psb_iblsrch(key,n,v) result(ipos)
!!$ import :: psb_ipk_
!!$ integer(psb_ipk_) :: ipos, key, n
!!$ integer(psb_ipk_) :: v(:)
!!$ end function psb_iblsrch
!!$ end interface
!!$
!!$ interface psb_ibsrch
!!$ function psb_ibsrch(key,n,v) result(ipos)
!!$ import :: psb_ipk_
!!$ integer(psb_ipk_) :: ipos, key, n
!!$ integer(psb_ipk_) :: v(:)
!!$ end function psb_ibsrch
!!$ end interface
!!$
!!$ interface psb_issrch
!!$ function psb_issrch(key,n,v) result(ipos)
!!$ import :: psb_ipk_
!!$ implicit none
!!$ integer(psb_ipk_) :: ipos, key, n
!!$ integer(psb_ipk_) :: v(:)
!!$ end function psb_issrch
!!$ end interface
!!$
!!$ interface psb_isaperm
!!$ logical function psb_isaperm(n,eip)
!!$ import :: psb_ipk_
!!$ integer(psb_ipk_), intent(in) :: n
!!$ integer(psb_ipk_), intent(in) :: eip(n)
!!$ end function psb_isaperm
!!$ end interface
!!$
!!$
!!$ interface psb_msort
!!$ subroutine imsort(x,ix,dir,flag)
!!$ import :: psb_ipk_
!!$ integer(psb_ipk_), intent(inout) :: x(:)
!!$ integer(psb_ipk_), optional, intent(in) :: dir, flag
!!$ integer(psb_ipk_), optional, intent(inout) :: ix(:)
!!$ end subroutine imsort
!!$ subroutine smsort(x,ix,dir,flag)
!!$ import :: psb_ipk_, psb_spk_, psb_dpk_
!!$ real(psb_spk_), intent(inout) :: x(:)
!!$ integer(psb_ipk_), optional, intent(in) :: dir, flag
!!$ integer(psb_ipk_), optional, intent(inout) :: ix(:)
!!$ end subroutine smsort
!!$ subroutine dmsort(x,ix,dir,flag)
!!$ import :: psb_ipk_, psb_spk_, psb_dpk_
!!$ real(psb_dpk_), intent(inout) :: x(:)
!!$ integer(psb_ipk_), optional, intent(in) :: dir, flag
!!$ integer(psb_ipk_), optional, intent(inout) :: ix(:)
!!$ end subroutine dmsort
!!$ subroutine camsort(x,ix,dir,flag)
!!$ import :: psb_ipk_, psb_spk_, psb_dpk_
!!$ complex(psb_spk_), intent(inout) :: x(:)
!!$ integer(psb_ipk_), optional, intent(in) :: dir, flag
!!$ integer(psb_ipk_), optional, intent(inout) :: ix(:)
!!$ end subroutine camsort
!!$ subroutine zamsort(x,ix,dir,flag)
!!$ import :: psb_ipk_, psb_spk_, psb_dpk_
!!$ complex(psb_dpk_), intent(inout) :: x(:)
!!$ integer(psb_ipk_), optional, intent(in) :: dir, flag
!!$ integer(psb_ipk_), optional, intent(inout) :: ix(:)
!!$ end subroutine zamsort
!!$ end interface
!!$
!!$
!!$ interface psb_msort_unique
!!$ subroutine imsort_u(x,nout,dir)
!!$ import :: psb_ipk_, psb_spk_, psb_dpk_
!!$ integer(psb_ipk_), intent(inout) :: x(:)
!!$ integer(psb_ipk_), intent(out) :: nout
!!$ integer(psb_ipk_), optional, intent(in) :: dir
!!$ end subroutine imsort_u
!!$ end interface
!!$
!!$ interface psb_qsort
!!$ subroutine iqsort(x,ix,dir,flag)
!!$ import :: psb_ipk_, psb_spk_, psb_dpk_
!!$ integer(psb_ipk_), intent(inout) :: x(:)
!!$ integer(psb_ipk_), optional, intent(in) :: dir, flag
!!$ integer(psb_ipk_), optional, intent(inout) :: ix(:)
!!$ end subroutine iqsort
!!$ subroutine sqsort(x,ix,dir,flag)
!!$ import :: psb_ipk_, psb_spk_, psb_dpk_
!!$ real(psb_spk_), intent(inout) :: x(:)
!!$ integer(psb_ipk_), optional, intent(in) :: dir, flag
!!$ integer(psb_ipk_), optional, intent(inout) :: ix(:)
!!$ end subroutine sqsort
!!$ subroutine dqsort(x,ix,dir,flag)
!!$ import :: psb_ipk_, psb_spk_, psb_dpk_
!!$ real(psb_dpk_), intent(inout) :: x(:)
!!$ integer(psb_ipk_), optional, intent(in) :: dir, flag
!!$ integer(psb_ipk_), optional, intent(inout) :: ix(:)
!!$ end subroutine dqsort
!!$ subroutine cqsort(x,ix,dir,flag)
!!$ import :: psb_ipk_, psb_spk_, psb_dpk_
!!$ complex(psb_spk_), intent(inout) :: x(:)
!!$ integer(psb_ipk_), optional, intent(in) :: dir, flag
!!$ integer(psb_ipk_), optional, intent(inout) :: ix(:)
!!$ end subroutine cqsort
!!$ subroutine zqsort(x,ix,dir,flag)
!!$ import :: psb_ipk_, psb_spk_, psb_dpk_
!!$ complex(psb_dpk_), intent(inout) :: x(:)
!!$ integer(psb_ipk_), optional, intent(in) :: dir, flag
!!$ integer(psb_ipk_), optional, intent(inout) :: ix(:)
!!$ end subroutine zqsort
!!$ end interface
!!$
!!$
!!$ interface psb_hsort
!!$ subroutine ihsort(x,ix,dir,flag)
!!$ import :: psb_ipk_, psb_spk_, psb_dpk_
!!$ integer(psb_ipk_), intent(inout) :: x(:)
!!$ integer(psb_ipk_), optional, intent(in) :: dir, flag
!!$ integer(psb_ipk_), optional, intent(inout) :: ix(:)
!!$ end subroutine ihsort
!!$ subroutine shsort(x,ix,dir,flag)
!!$ import :: psb_ipk_, psb_spk_, psb_dpk_
!!$ real(psb_spk_), intent(inout) :: x(:)
!!$ integer(psb_ipk_), optional, intent(in) :: dir, flag
!!$ integer(psb_ipk_), optional, intent(inout) :: ix(:)
!!$ end subroutine shsort
!!$ subroutine dhsort(x,ix,dir,flag)
!!$ import :: psb_ipk_, psb_spk_, psb_dpk_
!!$ real(psb_dpk_), intent(inout) :: x(:)
!!$ integer(psb_ipk_), optional, intent(in) :: dir, flag
!!$ integer(psb_ipk_), optional, intent(inout) :: ix(:)
!!$ end subroutine dhsort
!!$ subroutine chsort(x,ix,dir,flag)
!!$ import :: psb_ipk_, psb_spk_, psb_dpk_
!!$ complex(psb_spk_), intent(inout) :: x(:)
!!$ integer(psb_ipk_), optional, intent(in) :: dir, flag
!!$ integer(psb_ipk_), optional, intent(inout) :: ix(:)
!!$ end subroutine chsort
!!$ subroutine zhsort(x,ix,dir,flag)
!!$ import :: psb_ipk_, psb_spk_, psb_dpk_
!!$ complex(psb_dpk_), intent(inout) :: x(:)
!!$ integer(psb_ipk_), optional, intent(in) :: dir, flag
!!$ integer(psb_ipk_), optional, intent(inout) :: ix(:)
!!$ end subroutine zhsort
!!$ end interface
!!$
!!$
!!$ interface psb_howmany_heap
!!$ function psb_howmany_int_heap(heap)
!!$ import :: psb_ipk_, psb_spk_, psb_dpk_
!!$ import :: psb_int_heap
!!$ type(psb_int_heap), intent(in) :: heap
!!$ integer(psb_ipk_) :: psb_howmany_int_heap
!!$ end function psb_howmany_int_heap
!!$ function psb_howmany_sreal_idx_heap(heap)
!!$ import :: psb_ipk_, psb_spk_, psb_dpk_
!!$ import :: psb_sreal_idx_heap
!!$ type(psb_sreal_idx_heap), intent(in) :: heap
!!$ integer(psb_ipk_) :: psb_howmany_sreal_idx_heap
!!$ end function psb_howmany_sreal_idx_heap
!!$ function psb_howmany_dreal_idx_heap(heap)
!!$ import :: psb_ipk_, psb_spk_, psb_dpk_
!!$ import :: psb_dreal_idx_heap
!!$ type(psb_dreal_idx_heap), intent(in) :: heap
!!$ integer(psb_ipk_) :: psb_howmany_dreal_idx_heap
!!$ end function psb_howmany_dreal_idx_heap
!!$ function psb_howmany_int_idx_heap(heap)
!!$ import :: psb_ipk_, psb_spk_, psb_dpk_
!!$ import :: psb_int_idx_heap
!!$ type(psb_int_idx_heap), intent(in) :: heap
!!$ integer(psb_ipk_) :: psb_howmany_int_idx_heap
!!$ end function psb_howmany_int_idx_heap
!!$ function psb_howmany_scomplex_idx_heap(heap)
!!$ import :: psb_ipk_, psb_spk_, psb_dpk_
!!$ import :: psb_scomplex_idx_heap
!!$ type(psb_scomplex_idx_heap), intent(in) :: heap
!!$ integer(psb_ipk_) :: psb_howmany_scomplex_idx_heap
!!$ end function psb_howmany_scomplex_idx_heap
!!$ function psb_howmany_dcomplex_idx_heap(heap)
!!$ import :: psb_ipk_, psb_spk_, psb_dpk_
!!$ import :: psb_dcomplex_idx_heap
!!$ type(psb_dcomplex_idx_heap), intent(in) :: heap
!!$ integer(psb_ipk_) :: 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_ipk_, psb_spk_, psb_dpk_
!!$ import :: psb_int_heap
!!$ type(psb_int_heap), intent(inout) :: heap
!!$ integer(psb_ipk_), intent(out) :: info
!!$ integer(psb_ipk_), intent(in), optional :: dir
!!$ end subroutine psb_init_int_heap
!!$ subroutine psb_init_sreal_idx_heap(heap,info,dir)
!!$ import :: psb_ipk_, psb_spk_, psb_dpk_
!!$ import :: psb_sreal_idx_heap
!!$ type(psb_sreal_idx_heap), intent(inout) :: heap
!!$ integer(psb_ipk_), intent(out) :: info
!!$ integer(psb_ipk_), intent(in), optional :: dir
!!$ end subroutine psb_init_sreal_idx_heap
!!$ subroutine psb_init_int_idx_heap(heap,info,dir)
!!$ import :: psb_ipk_, psb_spk_, psb_dpk_
!!$ import :: psb_int_idx_heap
!!$ type(psb_int_idx_heap), intent(inout) :: heap
!!$ integer(psb_ipk_), intent(out) :: info
!!$ integer(psb_ipk_), intent(in), optional :: dir
!!$ end subroutine psb_init_int_idx_heap
!!$ subroutine psb_init_scomplex_idx_heap(heap,info,dir)
!!$ import :: psb_ipk_, psb_spk_, psb_dpk_
!!$ import :: psb_scomplex_idx_heap
!!$ type(psb_scomplex_idx_heap), intent(inout) :: heap
!!$ integer(psb_ipk_), intent(out) :: info
!!$ integer(psb_ipk_), intent(in), optional :: dir
!!$ end subroutine psb_init_scomplex_idx_heap
!!$ subroutine psb_init_dcomplex_idx_heap(heap,info,dir)
!!$ import :: psb_ipk_, psb_spk_, psb_dpk_
!!$ import :: psb_dcomplex_idx_heap
!!$ type(psb_dcomplex_idx_heap), intent(inout) :: heap
!!$ integer(psb_ipk_), intent(out) :: info
!!$ integer(psb_ipk_), intent(in), optional :: dir
!!$ end subroutine psb_init_dcomplex_idx_heap
!!$ subroutine psb_init_dreal_idx_heap(heap,info,dir)
!!$ import :: psb_ipk_, psb_spk_, psb_dpk_
!!$ import :: psb_dreal_idx_heap
!!$ type(psb_dreal_idx_heap), intent(inout) :: heap
!!$ integer(psb_ipk_), intent(out) :: info
!!$ integer(psb_ipk_), intent(in), optional :: dir
!!$ end subroutine psb_init_dreal_idx_heap
!!$ end interface
!!$
!!$
!!$ interface psb_dump_heap
!!$ subroutine psb_dump_int_heap(iout,heap,info)
!!$ import :: psb_ipk_, psb_spk_, psb_dpk_
!!$ import :: psb_int_heap
!!$ type(psb_int_heap), intent(in) :: heap
!!$ integer(psb_ipk_), intent(out) :: info
!!$ integer(psb_ipk_), intent(in) :: iout
!!$ end subroutine psb_dump_int_heap
!!$ subroutine psb_dump_sreal_idx_heap(iout,heap,info)
!!$ import :: psb_ipk_, psb_spk_, psb_dpk_
!!$ import :: psb_sreal_idx_heap
!!$ type(psb_sreal_idx_heap), intent(in) :: heap
!!$ integer(psb_ipk_), intent(out) :: info
!!$ integer(psb_ipk_), intent(in) :: iout
!!$ end subroutine psb_dump_sreal_idx_heap
!!$ subroutine psb_dump_dreal_idx_heap(iout,heap,info)
!!$ import :: psb_ipk_, psb_spk_, psb_dpk_
!!$ import :: psb_dreal_idx_heap
!!$ type(psb_dreal_idx_heap), intent(in) :: heap
!!$ integer(psb_ipk_), intent(out) :: info
!!$ integer(psb_ipk_), intent(in) :: iout
!!$ end subroutine psb_dump_dreal_idx_heap
!!$ subroutine psb_dump_int_idx_heap(iout,heap,info)
!!$ import :: psb_ipk_, psb_spk_, psb_dpk_
!!$ import :: psb_int_idx_heap
!!$ type(psb_int_idx_heap), intent(in) :: heap
!!$ integer(psb_ipk_), intent(out) :: info
!!$ integer(psb_ipk_), intent(in) :: iout
!!$ end subroutine psb_dump_int_idx_heap
!!$ subroutine psb_dump_scomplex_idx_heap(iout,heap,info)
!!$ import :: psb_ipk_, psb_spk_, psb_dpk_
!!$ import :: psb_scomplex_idx_heap
!!$ type(psb_scomplex_idx_heap), intent(in) :: heap
!!$ integer(psb_ipk_), intent(out) :: info
!!$ integer(psb_ipk_), intent(in) :: iout
!!$ end subroutine psb_dump_scomplex_idx_heap
!!$ subroutine psb_dump_dcomplex_idx_heap(iout,heap,info)
!!$ import :: psb_ipk_, psb_spk_, psb_dpk_
!!$ import :: psb_dcomplex_idx_heap
!!$ type(psb_dcomplex_idx_heap), intent(in) :: heap
!!$ integer(psb_ipk_), intent(out) :: info
!!$ integer(psb_ipk_), 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, psb_ipk_
!!$ integer(psb_ipk_), intent(in) :: key
!!$ type(psb_int_heap), intent(inout) :: heap
!!$ integer(psb_ipk_), 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, psb_ipk_
!!$ integer(psb_ipk_), intent(in) :: key
!!$ integer(psb_ipk_), intent(in) :: index
!!$ type(psb_int_idx_heap), intent(inout) :: heap
!!$ integer(psb_ipk_), intent(out) :: info
!!$ end subroutine psb_insert_int_idx_heap
!!$ subroutine psb_insert_sreal_idx_heap(key,index,heap,info)
!!$ import :: psb_spk_, psb_sreal_idx_heap, psb_ipk_
!!$ real(psb_spk_), intent(in) :: key
!!$ integer(psb_ipk_), intent(in) :: index
!!$ type(psb_sreal_idx_heap), intent(inout) :: heap
!!$ integer(psb_ipk_), intent(out) :: info
!!$ end subroutine psb_insert_sreal_idx_heap
!!$ subroutine psb_insert_dreal_idx_heap(key,index,heap,info)
!!$ import :: psb_dpk_, psb_dreal_idx_heap, psb_ipk_
!!$ real(psb_dpk_), intent(in) :: key
!!$ integer(psb_ipk_), intent(in) :: index
!!$ type(psb_dreal_idx_heap), intent(inout) :: heap
!!$ integer(psb_ipk_), intent(out) :: info
!!$ end subroutine psb_insert_dreal_idx_heap
!!$ subroutine psb_insert_scomplex_idx_heap(key,index,heap,info)
!!$ import :: psb_spk_, psb_scomplex_idx_heap, psb_ipk_
!!$ complex(psb_spk_), intent(in) :: key
!!$ integer(psb_ipk_), intent(in) :: index
!!$ type(psb_scomplex_idx_heap), intent(inout) :: heap
!!$ integer(psb_ipk_), 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, psb_ipk_
!!$ complex(psb_dpk_), intent(in) :: key
!!$ integer(psb_ipk_), intent(in) :: index
!!$ type(psb_dcomplex_idx_heap), intent(inout) :: heap
!!$ integer(psb_ipk_), 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, psb_ipk_
!!$ type(psb_int_heap), intent(inout) :: heap
!!$ integer(psb_ipk_), 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, psb_ipk_
!!$ type(psb_int_idx_heap), intent(inout) :: heap
!!$ integer(psb_ipk_), intent(out) :: index,info
!!$ integer(psb_ipk_), intent(out) :: key
!!$ end subroutine psb_int_idx_heap_get_first
!!$ subroutine psb_sreal_idx_heap_get_first(key,index,heap,info)
!!$ import :: psb_spk_, psb_sreal_idx_heap, psb_ipk_
!!$ type(psb_sreal_idx_heap), intent(inout) :: heap
!!$ integer(psb_ipk_), intent(out) :: index,info
!!$ real(psb_spk_), intent(out) :: key
!!$ end subroutine psb_sreal_idx_heap_get_first
!!$ subroutine psb_dreal_idx_heap_get_first(key,index,heap,info)
!!$ import :: psb_dpk_, psb_dreal_idx_heap, psb_ipk_
!!$ type(psb_dreal_idx_heap), intent(inout) :: heap
!!$ integer(psb_ipk_), intent(out) :: index,info
!!$ real(psb_dpk_), intent(out) :: key
!!$ end subroutine psb_dreal_idx_heap_get_first
!!$ subroutine psb_scomplex_idx_heap_get_first(key,index,heap,info)
!!$ import :: psb_spk_, psb_scomplex_idx_heap, psb_ipk_
!!$ type(psb_scomplex_idx_heap), intent(inout) :: heap
!!$ integer(psb_ipk_), 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, psb_ipk_
!!$ type(psb_dcomplex_idx_heap), intent(inout) :: heap
!!$ integer(psb_ipk_), 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)
!!$ import :: psb_ipk_
!!$ implicit none
!!$
!!$ !
!!$ ! Input:
!!$ ! key: the new value
!!$ ! last: pointer to the last occupied element in heap
!!$ ! heap: the heap
!!$ ! dir: sorting direction
!!$
!!$ integer(psb_ipk_), intent(in) :: key,dir
!!$ integer(psb_ipk_), intent(inout) :: heap(:),last
!!$ integer(psb_ipk_), intent(out) :: info
!!$ end subroutine psi_insert_int_heap
!!$ end interface
!!$
!!$ interface
!!$ subroutine psi_int_heap_get_first(key,last,heap,dir,info)
!!$ import :: psb_ipk_
!!$ implicit none
!!$
!!$ integer(psb_ipk_), intent(inout) :: key,last
!!$ integer(psb_ipk_), intent(in) :: dir
!!$ integer(psb_ipk_), intent(inout) :: heap(:)
!!$ integer(psb_ipk_), 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_, psb_ipk_
!!$ real(psb_spk_), intent(in) :: key
!!$ integer(psb_ipk_), intent(in) :: dir
!!$ real(psb_spk_), intent(inout) :: heap(:)
!!$ integer(psb_ipk_), intent(inout) :: last
!!$ integer(psb_ipk_), intent(out) :: info
!!$ end subroutine psi_insert_real_heap
!!$ end interface
!!$
!!$ interface
!!$ subroutine psi_real_heap_get_first(key,last,heap,dir,info)
!!$ import :: psb_spk_, psb_ipk_
!!$ real(psb_spk_), intent(inout) :: key
!!$ integer(psb_ipk_), intent(inout) :: last
!!$ integer(psb_ipk_), intent(in) :: dir
!!$ real(psb_spk_), intent(inout) :: heap(:)
!!$ integer(psb_ipk_), 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_, psb_ipk_
!!$ real(psb_dpk_), intent(in) :: key
!!$ integer(psb_ipk_), intent(in) :: dir
!!$ real(psb_dpk_), intent(inout) :: heap(:)
!!$ integer(psb_ipk_), intent(inout) :: last
!!$ integer(psb_ipk_), intent(out) :: info
!!$ end subroutine psi_insert_double_heap
!!$ end interface
!!$
!!$ interface
!!$ subroutine psi_double_heap_get_first(key,last,heap,dir,info)
!!$ import :: psb_dpk_, psb_ipk_
!!$ 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_double_heap_get_first
!!$ end interface
!!$
!!$ interface
!!$ subroutine psi_insert_scomplex_heap(key,last,heap,dir,info)
!!$ import :: psb_spk_, psb_ipk_
!!$ complex(psb_spk_), intent(in) :: key
!!$ integer(psb_ipk_), intent(in) :: dir
!!$ complex(psb_spk_), intent(inout) :: heap(:)
!!$ integer(psb_ipk_), intent(inout) :: last
!!$ integer(psb_ipk_), 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_, psb_ipk_
!!$ complex(psb_spk_), intent(inout) :: key
!!$ integer(psb_ipk_), intent(inout) :: last
!!$ integer(psb_ipk_), intent(in) :: dir
!!$ complex(psb_spk_), intent(inout) :: heap(:)
!!$ integer(psb_ipk_), 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_, psb_ipk_
!!$ complex(psb_dpk_), intent(in) :: key
!!$ integer(psb_ipk_), intent(in) :: dir
!!$ complex(psb_dpk_), intent(inout) :: heap(:)
!!$ integer(psb_ipk_), intent(inout) :: last
!!$ integer(psb_ipk_), 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_, psb_ipk_
!!$ complex(psb_dpk_), intent(inout) :: key
!!$ integer(psb_ipk_), intent(inout) :: last
!!$ integer(psb_ipk_), intent(in) :: dir
!!$ complex(psb_dpk_), intent(inout) :: heap(:)
!!$ integer(psb_ipk_), 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)
!!$ import :: psb_ipk_
!!$ integer(psb_ipk_), intent(in) :: key
!!$ integer(psb_ipk_), intent(in) :: index,dir
!!$ integer(psb_ipk_), intent(inout) :: heap(:),last
!!$ integer(psb_ipk_), intent(inout) :: idxs(:)
!!$ integer(psb_ipk_), 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)
!!$ import :: psb_ipk_
!!$ integer(psb_ipk_), intent(inout) :: heap(:)
!!$ integer(psb_ipk_), intent(out) :: index,info
!!$ integer(psb_ipk_), intent(inout) :: last,idxs(:)
!!$ integer(psb_ipk_), intent(in) :: dir
!!$ integer(psb_ipk_), intent(out) :: key
!!$ end subroutine psi_int_idx_heap_get_first
!!$ end interface
!!$
!!$ interface
!!$ subroutine psi_insert_sreal_idx_heap(key,index,last,heap,idxs,dir,info)
!!$ import :: psb_spk_, psb_ipk_
!!$ real(psb_spk_), intent(in) :: key
!!$ integer(psb_ipk_), intent(in) :: index,dir
!!$ real(psb_spk_), intent(inout) :: heap(:)
!!$ integer(psb_ipk_), intent(inout) :: idxs(:),last
!!$ integer(psb_ipk_), intent(out) :: info
!!$ end subroutine psi_insert_sreal_idx_heap
!!$ end interface
!!$
!!$ interface
!!$ subroutine psi_sreal_idx_heap_get_first(key,index,last,heap,idxs,dir,info)
!!$ import :: psb_spk_, psb_ipk_
!!$ real(psb_spk_), intent(inout) :: heap(:)
!!$ integer(psb_ipk_), intent(out) :: index,info
!!$ integer(psb_ipk_), intent(inout) :: last,idxs(:)
!!$ integer(psb_ipk_), intent(in) :: dir
!!$ real(psb_spk_), intent(out) :: key
!!$ end subroutine psi_sreal_idx_heap_get_first
!!$ end interface
!!$
!!$ interface
!!$ subroutine psi_insert_dreal_idx_heap(key,index,last,heap,idxs,dir,info)
!!$ import :: psb_dpk_, psb_ipk_
!!$ real(psb_dpk_), intent(in) :: key
!!$ integer(psb_ipk_), intent(in) :: index,dir
!!$ real(psb_dpk_), intent(inout) :: heap(:)
!!$ integer(psb_ipk_), intent(inout) :: idxs(:),last
!!$ integer(psb_ipk_), intent(out) :: info
!!$ end subroutine psi_insert_dreal_idx_heap
!!$ end interface
!!$
!!$ interface
!!$ subroutine psi_dreal_idx_heap_get_first(key,index,last,heap,idxs,dir,info)
!!$ import :: psb_dpk_, psb_ipk_
!!$ real(psb_dpk_), intent(inout) :: heap(:)
!!$ integer(psb_ipk_), intent(out) :: index,info
!!$ integer(psb_ipk_), intent(inout) :: last,idxs(:)
!!$ integer(psb_ipk_), intent(in) :: dir
!!$ real(psb_dpk_), intent(out) :: key
!!$ end subroutine psi_dreal_idx_heap_get_first
!!$ end interface
!!$
!!$ interface
!!$ subroutine psi_insert_scomplex_idx_heap(key,index,last,heap,idxs,dir,info)
!!$ import :: psb_spk_, psb_ipk_
!!$ complex(psb_spk_), intent(in) :: key
!!$ integer(psb_ipk_), intent(in) :: index,dir
!!$ complex(psb_spk_), intent(inout) :: heap(:)
!!$ integer(psb_ipk_), intent(inout) :: idxs(:),last
!!$ integer(psb_ipk_), 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_, psb_ipk_
!!$ complex(psb_spk_), intent(inout) :: heap(:)
!!$ integer(psb_ipk_), intent(out) :: index,info
!!$ integer(psb_ipk_), intent(inout) :: last,idxs(:)
!!$ integer(psb_ipk_), 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_, psb_ipk_
!!$ complex(psb_dpk_), intent(in) :: key
!!$ integer(psb_ipk_), intent(in) :: index,dir
!!$ complex(psb_dpk_), intent(inout) :: heap(:)
!!$ integer(psb_ipk_), intent(inout) :: idxs(:),last
!!$ integer(psb_ipk_), 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_, psb_ipk_
!!$ complex(psb_dpk_), intent(inout) :: heap(:)
!!$ integer(psb_ipk_), intent(out) :: index,info
!!$ integer(psb_ipk_), intent(inout) :: last,idxs(:)
!!$ integer(psb_ipk_), intent(in) :: dir
!!$ complex(psb_dpk_), intent(out) :: key
!!$ end subroutine psi_dcomplex_idx_heap_get_first
!!$ end interface
!!$
!!$
!!$ interface psb_free_heap
!!$ module procedure psb_free_int_heap, psb_free_int_idx_heap,&
!!$ & psb_free_sreal_idx_heap, psb_free_scomplex_idx_heap, &
!!$ & psb_free_dreal_idx_heap, psb_free_dcomplex_idx_heap
!!$ end interface
!!$
!!$contains
!!$
!!$ subroutine psb_free_int_heap(heap,info)
!!$ implicit none
!!$ type(psb_int_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_free_int_heap
!!$
!!$ subroutine psb_free_sreal_idx_heap(heap,info)
!!$ implicit none
!!$ type(psb_sreal_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_free_sreal_idx_heap
!!$
!!$ subroutine psb_free_dreal_idx_heap(heap,info)
!!$ implicit none
!!$ type(psb_dreal_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_free_dreal_idx_heap
!!$
!!$ subroutine psb_free_int_idx_heap(heap,info)
!!$ implicit none
!!$ type(psb_int_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_free_int_idx_heap
!!$
!!$ subroutine psb_free_scomplex_idx_heap(heap,info)
!!$ implicit none
!!$ type(psb_scomplex_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_free_scomplex_idx_heap
!!$
!!$ subroutine psb_free_dcomplex_idx_heap(heap,info)
!!$ implicit none
!!$ type(psb_dcomplex_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_free_dcomplex_idx_heap
!!$
end module psb_sort_mod