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599 lines
19 KiB
Fortran
599 lines
19 KiB
Fortran
!!$
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!!$ Parallel Sparse BLAS version 3.4
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!!$ (C) Copyright 2006, 2010, 2015
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!!$ Salvatore Filippone University of Rome Tor Vergata
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!!$ Alfredo Buttari CNRS-IRIT, Toulouse
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!!$
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!!$ Redistribution and use in source and binary forms, with or without
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!!$ modification, are permitted provided that the following conditions
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!!$ are met:
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!!$ 1. Redistributions of source code must retain the above copyright
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!!$ notice, this list of conditions and the following disclaimer.
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!!$ 2. Redistributions in binary form must reproduce the above copyright
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!!$ notice, this list of conditions, and the following disclaimer in the
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!!$ documentation and/or other materials provided with the distribution.
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!!$ 3. The name of the PSBLAS group or the names of its contributors may
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!!$ not be used to endorse or promote products derived from this
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!!$ software without specific written permission.
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!!$
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!!$ THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
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!!$ ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
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!!$ TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
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!!$ PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE PSBLAS GROUP OR ITS CONTRIBUTORS
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!!$ BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
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!!$ CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
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!!$ SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
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!!$ INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
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!!$ CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
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!!$ ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
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!!$ POSSIBILITY OF SUCH DAMAGE.
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!!$
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!!$
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!
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! Sorting routines
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! References:
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! D. Knuth
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! The Art of Computer Programming, vol. 3
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! Addison-Wesley
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!
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! Aho, Hopcroft, Ullman
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! Data Structures and Algorithms
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! Addison-Wesley
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!
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module psb_z_sort_mod
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use psb_const_mod
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type psb_z_heap
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integer(psb_ipk_) :: last, dir
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complex(psb_dpk_), allocatable :: keys(:)
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contains
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procedure, pass(heap) :: init => psb_z_init_heap
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procedure, pass(heap) :: howmany => psb_z_howmany
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procedure, pass(heap) :: insert => psb_z_insert_heap
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procedure, pass(heap) :: get_first => psb_z_heap_get_first
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procedure, pass(heap) :: dump => psb_z_dump_heap
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procedure, pass(heap) :: free => psb_z_free_heap
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end type psb_z_heap
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type psb_z_idx_heap
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integer(psb_ipk_) :: last, dir
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complex(psb_dpk_), allocatable :: keys(:)
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integer(psb_ipk_), allocatable :: idxs(:)
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contains
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procedure, pass(heap) :: init => psb_z_idx_init_heap
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procedure, pass(heap) :: howmany => psb_z_idx_howmany
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procedure, pass(heap) :: insert => psb_z_idx_insert_heap
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procedure, pass(heap) :: get_first => psb_z_idx_heap_get_first
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procedure, pass(heap) :: dump => psb_z_idx_dump_heap
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procedure, pass(heap) :: free => psb_z_idx_free_heap
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end type psb_z_idx_heap
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interface psb_msort
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subroutine psb_zmsort(x,ix,dir,flag)
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import
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complex(psb_dpk_), intent(inout) :: x(:)
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integer(psb_ipk_), optional, intent(in) :: dir, flag
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integer(psb_ipk_), optional, intent(inout) :: ix(:)
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end subroutine psb_zmsort
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end interface psb_msort
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interface
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subroutine psi_z_lmsort_up(n,k,l,iret)
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import
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implicit none
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integer(psb_ipk_) :: n, iret
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complex(psb_dpk_) :: k(n)
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integer(psb_ipk_) :: l(0:n+1)
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end subroutine psi_z_lmsort_up
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subroutine psi_z_lmsort_dw(n,k,l,iret)
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import
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implicit none
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integer(psb_ipk_) :: n, iret
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complex(psb_dpk_) :: k(n)
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integer(psb_ipk_) :: l(0:n+1)
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end subroutine psi_z_lmsort_dw
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subroutine psi_z_almsort_up(n,k,l,iret)
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import
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implicit none
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integer(psb_ipk_) :: n, iret
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complex(psb_dpk_) :: k(n)
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integer(psb_ipk_) :: l(0:n+1)
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end subroutine psi_z_almsort_up
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subroutine psi_z_almsort_dw(n,k,l,iret)
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import
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implicit none
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integer(psb_ipk_) :: n, iret
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complex(psb_dpk_) :: k(n)
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integer(psb_ipk_) :: l(0:n+1)
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end subroutine psi_z_almsort_dw
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end interface
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interface
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subroutine psi_z_amsort_up(n,k,l,iret)
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import
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implicit none
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integer(psb_ipk_) :: n, iret
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complex(psb_dpk_) :: k(n)
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integer(psb_ipk_) :: l(0:n+1)
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end subroutine psi_z_amsort_up
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subroutine psi_z_amsort_dw(n,k,l,iret)
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import
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implicit none
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integer(psb_ipk_) :: n, iret
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complex(psb_dpk_) :: k(n)
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integer(psb_ipk_) :: l(0:n+1)
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end subroutine psi_z_amsort_dw
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end interface
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interface psb_qsort
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subroutine psb_zqsort(x,ix,dir,flag)
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import
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complex(psb_dpk_), intent(inout) :: x(:)
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integer(psb_ipk_), optional, intent(in) :: dir, flag
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integer(psb_ipk_), optional, intent(inout) :: ix(:)
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end subroutine psb_zqsort
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end interface psb_qsort
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interface psb_isort
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subroutine psb_zisort(x,ix,dir,flag)
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import
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complex(psb_dpk_), intent(inout) :: x(:)
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integer(psb_ipk_), optional, intent(in) :: dir, flag
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integer(psb_ipk_), optional, intent(inout) :: ix(:)
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end subroutine psb_zisort
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end interface psb_isort
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interface psb_hsort
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subroutine psb_zhsort(x,ix,dir,flag)
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import
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complex(psb_dpk_), intent(inout) :: x(:)
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integer(psb_ipk_), optional, intent(in) :: dir, flag
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integer(psb_ipk_), optional, intent(inout) :: ix(:)
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end subroutine psb_zhsort
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end interface psb_hsort
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interface
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subroutine psi_z_insert_heap(key,last,heap,dir,info)
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import
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implicit none
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!
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! Input:
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! key: the new value
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! last: pointer to the last occupied element in heap
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! heap: the heap
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! dir: sorting direction
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complex(psb_dpk_), intent(in) :: key
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complex(psb_dpk_), intent(inout) :: heap(:)
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integer(psb_ipk_), intent(in) :: dir
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integer(psb_ipk_), intent(inout) :: last
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integer(psb_ipk_), intent(out) :: info
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end subroutine psi_z_insert_heap
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end interface
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interface
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subroutine psi_z_idx_insert_heap(key,index,last,heap,idxs,dir,info)
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import
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implicit none
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!
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! Input:
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! key: the new value
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! last: pointer to the last occupied element in heap
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! heap: the heap
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! dir: sorting direction
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complex(psb_dpk_), intent(in) :: key
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complex(psb_dpk_), intent(inout) :: heap(:)
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integer(psb_ipk_), intent(in) :: index
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integer(psb_ipk_), intent(in) :: dir
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integer(psb_ipk_), intent(inout) :: idxs(:)
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integer(psb_ipk_), intent(inout) :: last
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integer(psb_ipk_), intent(out) :: info
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end subroutine psi_z_idx_insert_heap
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end interface
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interface
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subroutine psi_z_heap_get_first(key,last,heap,dir,info)
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import
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implicit none
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complex(psb_dpk_), intent(inout) :: key
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integer(psb_ipk_), intent(inout) :: last
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integer(psb_ipk_), intent(in) :: dir
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complex(psb_dpk_), intent(inout) :: heap(:)
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integer(psb_ipk_), intent(out) :: info
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end subroutine psi_z_heap_get_first
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end interface
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interface
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subroutine psi_z_idx_heap_get_first(key,index,last,heap,idxs,dir,info)
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import
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complex(psb_dpk_), intent(inout) :: key
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integer(psb_ipk_), intent(out) :: index
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complex(psb_dpk_), intent(inout) :: heap(:)
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integer(psb_ipk_), intent(in) :: dir
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integer(psb_ipk_), intent(inout) :: last
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integer(psb_ipk_), intent(inout) :: idxs(:)
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integer(psb_ipk_), intent(out) :: info
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end subroutine psi_z_idx_heap_get_first
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end interface
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interface
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subroutine psi_zlisrx_up(n,x,ix)
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import
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complex(psb_dpk_), intent(inout) :: x(:)
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integer(psb_ipk_), intent(inout) :: ix(:)
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integer(psb_ipk_), intent(in) :: n
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end subroutine psi_zlisrx_up
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subroutine psi_zlisrx_dw(n,x,ix)
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import
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complex(psb_dpk_), intent(inout) :: x(:)
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integer(psb_ipk_), intent(inout) :: ix(:)
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integer(psb_ipk_), intent(in) :: n
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end subroutine psi_zlisrx_dw
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subroutine psi_zlisr_up(n,x)
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import
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complex(psb_dpk_), intent(inout) :: x(:)
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integer(psb_ipk_), intent(in) :: n
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end subroutine psi_zlisr_up
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subroutine psi_zlisr_dw(n,x)
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import
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complex(psb_dpk_), intent(inout) :: x(:)
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integer(psb_ipk_), intent(in) :: n
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end subroutine psi_zlisr_dw
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subroutine psi_zalisrx_up(n,x,ix)
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import
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complex(psb_dpk_), intent(inout) :: x(:)
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integer(psb_ipk_), intent(inout) :: ix(:)
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integer(psb_ipk_), intent(in) :: n
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end subroutine psi_zalisrx_up
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subroutine psi_zalisrx_dw(n,x,ix)
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import
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complex(psb_dpk_), intent(inout) :: x(:)
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integer(psb_ipk_), intent(inout) :: ix(:)
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integer(psb_ipk_), intent(in) :: n
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end subroutine psi_zalisrx_dw
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subroutine psi_zalisr_up(n,x)
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import
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complex(psb_dpk_), intent(inout) :: x(:)
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integer(psb_ipk_), intent(in) :: n
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end subroutine psi_zalisr_up
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subroutine psi_zalisr_dw(n,x)
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import
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complex(psb_dpk_), intent(inout) :: x(:)
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integer(psb_ipk_), intent(in) :: n
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end subroutine psi_zalisr_dw
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subroutine psi_zaisrx_up(n,x,ix)
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import
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complex(psb_dpk_), intent(inout) :: x(:)
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integer(psb_ipk_), intent(inout) :: ix(:)
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integer(psb_ipk_), intent(in) :: n
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end subroutine psi_zaisrx_up
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subroutine psi_zaisrx_dw(n,x,ix)
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import
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complex(psb_dpk_), intent(inout) :: x(:)
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integer(psb_ipk_), intent(inout) :: ix(:)
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integer(psb_ipk_), intent(in) :: n
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end subroutine psi_zaisrx_dw
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subroutine psi_zaisr_up(n,x)
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import
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complex(psb_dpk_), intent(inout) :: x(:)
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integer(psb_ipk_), intent(in) :: n
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end subroutine psi_zaisr_up
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subroutine psi_zaisr_dw(n,x)
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import
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complex(psb_dpk_), intent(inout) :: x(:)
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integer(psb_ipk_), intent(in) :: n
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end subroutine psi_zaisr_dw
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end interface
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interface
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subroutine psi_zlqsrx_up(n,x,ix)
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import
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complex(psb_dpk_), intent(inout) :: x(:)
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integer(psb_ipk_), intent(inout) :: ix(:)
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integer(psb_ipk_), intent(in) :: n
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end subroutine psi_zlqsrx_up
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subroutine psi_zlqsrx_dw(n,x,ix)
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import
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complex(psb_dpk_), intent(inout) :: x(:)
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integer(psb_ipk_), intent(inout) :: ix(:)
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integer(psb_ipk_), intent(in) :: n
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end subroutine psi_zlqsrx_dw
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subroutine psi_zlqsr_up(n,x)
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import
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complex(psb_dpk_), intent(inout) :: x(:)
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integer(psb_ipk_), intent(in) :: n
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end subroutine psi_zlqsr_up
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subroutine psi_zlqsr_dw(n,x)
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import
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complex(psb_dpk_), intent(inout) :: x(:)
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integer(psb_ipk_), intent(in) :: n
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end subroutine psi_zlqsr_dw
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subroutine psi_zalqsrx_up(n,x,ix)
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import
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complex(psb_dpk_), intent(inout) :: x(:)
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integer(psb_ipk_), intent(inout) :: ix(:)
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integer(psb_ipk_), intent(in) :: n
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end subroutine psi_zalqsrx_up
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subroutine psi_zalqsrx_dw(n,x,ix)
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import
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complex(psb_dpk_), intent(inout) :: x(:)
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integer(psb_ipk_), intent(inout) :: ix(:)
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integer(psb_ipk_), intent(in) :: n
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end subroutine psi_zalqsrx_dw
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subroutine psi_zalqsr_up(n,x)
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import
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complex(psb_dpk_), intent(inout) :: x(:)
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integer(psb_ipk_), intent(in) :: n
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end subroutine psi_zalqsr_up
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subroutine psi_zalqsr_dw(n,x)
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import
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complex(psb_dpk_), intent(inout) :: x(:)
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integer(psb_ipk_), intent(in) :: n
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end subroutine psi_zalqsr_dw
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subroutine psi_zaqsrx_up(n,x,ix)
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import
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complex(psb_dpk_), intent(inout) :: x(:)
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integer(psb_ipk_), intent(inout) :: ix(:)
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integer(psb_ipk_), intent(in) :: n
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end subroutine psi_zaqsrx_up
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subroutine psi_zaqsrx_dw(n,x,ix)
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import
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complex(psb_dpk_), intent(inout) :: x(:)
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integer(psb_ipk_), intent(inout) :: ix(:)
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integer(psb_ipk_), intent(in) :: n
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end subroutine psi_zaqsrx_dw
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subroutine psi_zaqsr_up(n,x)
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import
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complex(psb_dpk_), intent(inout) :: x(:)
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integer(psb_ipk_), intent(in) :: n
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end subroutine psi_zaqsr_up
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subroutine psi_zaqsr_dw(n,x)
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import
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complex(psb_dpk_), intent(inout) :: x(:)
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integer(psb_ipk_), intent(in) :: n
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end subroutine psi_zaqsr_dw
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end interface
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contains
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subroutine psb_z_init_heap(heap,info,dir)
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use psb_realloc_mod, only : psb_ensure_size
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implicit none
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class(psb_z_heap), intent(inout) :: heap
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integer(psb_ipk_), intent(out) :: info
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integer(psb_ipk_), intent(in), optional :: dir
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info = psb_success_
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heap%last=0
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if (present(dir)) then
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heap%dir = dir
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else
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heap%dir = psb_asort_up_
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endif
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select case(heap%dir)
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case (psb_asort_up_,psb_asort_down_)
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! ok, do nothing
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case default
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write(psb_err_unit,*) 'Invalid direction, defaulting to psb_asort_up_'
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heap%dir = psb_asort_up_
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end select
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call psb_ensure_size(psb_heap_resize,heap%keys,info)
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return
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end subroutine psb_z_init_heap
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function psb_z_howmany(heap) result(res)
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implicit none
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class(psb_z_heap), intent(in) :: heap
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integer(psb_ipk_) :: res
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res = heap%last
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end function psb_z_howmany
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subroutine psb_z_insert_heap(key,heap,info)
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use psb_realloc_mod, only : psb_ensure_size
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implicit none
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complex(psb_dpk_), intent(in) :: key
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class(psb_z_heap), intent(inout) :: heap
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integer(psb_ipk_), intent(out) :: info
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info = psb_success_
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if (heap%last < 0) then
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write(psb_err_unit,*) 'Invalid last in heap ',heap%last
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info = heap%last
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return
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endif
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call psb_ensure_size(heap%last+1,heap%keys,info,addsz=psb_heap_resize)
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if (info /= psb_success_) then
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write(psb_err_unit,*) 'Memory allocation failure in heap_insert'
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info = -5
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return
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end if
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call psi_z_insert_heap(key,&
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& heap%last,heap%keys,heap%dir,info)
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return
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end subroutine psb_z_insert_heap
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subroutine psb_z_heap_get_first(key,heap,info)
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implicit none
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class(psb_z_heap), intent(inout) :: heap
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integer(psb_ipk_), intent(out) :: info
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complex(psb_dpk_), intent(out) :: key
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info = psb_success_
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call psi_z_heap_get_first(key,&
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& heap%last,heap%keys,heap%dir,info)
|
|
|
|
return
|
|
end subroutine psb_z_heap_get_first
|
|
|
|
subroutine psb_z_dump_heap(iout,heap,info)
|
|
|
|
implicit none
|
|
class(psb_z_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_z_dump_heap
|
|
|
|
subroutine psb_z_free_heap(heap,info)
|
|
implicit none
|
|
class(psb_z_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_z_free_heap
|
|
|
|
subroutine psb_z_idx_init_heap(heap,info,dir)
|
|
use psb_realloc_mod, only : psb_ensure_size
|
|
implicit none
|
|
class(psb_z_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_asort_up_
|
|
endif
|
|
select case(heap%dir)
|
|
case (psb_asort_up_,psb_asort_down_)
|
|
! ok, do nothing
|
|
case default
|
|
write(psb_err_unit,*) 'Invalid direction, defaulting to psb_asort_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_z_idx_init_heap
|
|
|
|
|
|
function psb_z_idx_howmany(heap) result(res)
|
|
implicit none
|
|
class(psb_z_idx_heap), intent(in) :: heap
|
|
integer(psb_ipk_) :: res
|
|
res = heap%last
|
|
end function psb_z_idx_howmany
|
|
|
|
subroutine psb_z_idx_insert_heap(key,index,heap,info)
|
|
use psb_realloc_mod, only : psb_ensure_size
|
|
implicit none
|
|
|
|
complex(psb_dpk_), intent(in) :: key
|
|
integer(psb_ipk_), intent(in) :: index
|
|
class(psb_z_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_z_idx_insert_heap(key,index,&
|
|
& heap%last,heap%keys,heap%idxs,heap%dir,info)
|
|
|
|
return
|
|
end subroutine psb_z_idx_insert_heap
|
|
|
|
subroutine psb_z_idx_heap_get_first(key,index,heap,info)
|
|
implicit none
|
|
|
|
class(psb_z_idx_heap), intent(inout) :: heap
|
|
integer(psb_ipk_), intent(out) :: index,info
|
|
complex(psb_dpk_), intent(out) :: key
|
|
|
|
|
|
info = psb_success_
|
|
|
|
call psi_z_idx_heap_get_first(key,index,&
|
|
& heap%last,heap%keys,heap%idxs,heap%dir,info)
|
|
|
|
return
|
|
end subroutine psb_z_idx_heap_get_first
|
|
|
|
subroutine psb_z_idx_dump_heap(iout,heap,info)
|
|
|
|
implicit none
|
|
class(psb_z_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_z_idx_dump_heap
|
|
|
|
subroutine psb_z_idx_free_heap(heap,info)
|
|
implicit none
|
|
class(psb_z_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_z_idx_free_heap
|
|
|
|
end module psb_z_sort_mod
|