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632 lines
19 KiB
Fortran
632 lines
19 KiB
Fortran
!
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! Parallel Sparse BLAS version 3.5
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! (C) Copyright 2006-2018
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! Salvatore Filippone
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! Alfredo Buttari
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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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! Moved here from AMG4PSBLAS, original copyright below.
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!
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!
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! AMG-AINV: Approximate Inverse plugin for
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! AMG4PSBLAS version 1.0
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!
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! (C) Copyright 2020
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!
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! Salvatore Filippone University of Rome Tor Vergata
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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 AMG4PSBLAS 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 AMG4PSBLAS 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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subroutine psb_d_invt_bld(a,fillin,invfill,thresh,invthresh,&
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& lmat,d,umat,desc,info,blck)
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use psb_base_mod
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use psb_d_invt_fact_mod, psb_protect_name => psb_d_invt_bld
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use psb_d_ilu_fact_mod
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implicit none
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! Arguments
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type(psb_dspmat_type), intent(in), target :: a
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integer(psb_ipk_), intent(in) :: fillin,invfill
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real(psb_dpk_), intent(in) :: thresh
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real(psb_dpk_), intent(in) :: invthresh
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type(psb_dspmat_type), intent(inout) :: lmat, umat
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real(psb_dpk_), allocatable :: d(:)
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Type(psb_desc_type), Intent(inout) :: desc
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integer(psb_ipk_), intent(out) :: info
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type(psb_dspmat_type), intent(in), optional :: blck
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!
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integer(psb_ipk_) :: i, nztota, err_act, n_row, nrow_a, n_col
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type(psb_dspmat_type) :: atmp
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real(psb_dpk_), allocatable :: pq(:), pd(:), w(:)
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integer(psb_ipk_) :: debug_level, debug_unit
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integer(psb_ipk_) :: ictxt,np,me
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integer(psb_ipk_) :: nzrmax
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real(psb_dpk_) :: sp_thresh
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character(len=20) :: name, ch_err, fname
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info = psb_success_
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name='psb_dinvt_fact'
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call psb_erractionsave(err_act)
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if (psb_errstatus_fatal()) then
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info = psb_err_internal_error_; goto 9999
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end if
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debug_unit = psb_get_debug_unit()
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debug_level = psb_get_debug_level()
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ictxt = psb_cd_get_context(desc)
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call psb_info(ictxt, me, np)
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if (debug_level >= psb_debug_outer_) &
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& write(debug_unit,*) me,' ',trim(name),' start'
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!
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! Check the memory available to hold the incomplete L and U factors
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! and allocate it if needed
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!
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nrow_a = a%get_nrows()
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nztota = a%get_nzeros()
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if (present(blck)) then
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nztota = nztota + blck%get_nzeros()
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end if
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if (debug_level >= psb_debug_outer_) &
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& write(debug_unit,*) me,' ',trim(name),&
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& ': out get_nnzeros',nrow_a,nztota,&
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& a%get_nrows(),a%get_ncols(),a%get_nzeros()
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n_row = psb_cd_get_local_rows(desc)
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n_col = psb_cd_get_local_cols(desc)
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allocate(pd(n_row),w(n_row),stat=info)
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if (info /= psb_success_) then
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call psb_errpush(psb_err_from_subroutine_,name,a_err='Allocate')
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goto 9999
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end if
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nzrmax = fillin
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sp_thresh = thresh
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call lmat%allocate(n_row,n_row,info,nz=nztota)
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if (info == psb_success_) call umat%allocate(n_row,n_row,info,nz=nztota)
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if (info == 0) call psb_ilut_fact(nzrmax,sp_thresh,&
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& a,lmat,umat,pd,info,blck=blck,iscale=psb_ilu_scale_maxval_)
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if (info == psb_success_) call atmp%allocate(n_row,n_row,info,nz=nztota)
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if(info/=0) then
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info=psb_err_from_subroutine_
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ch_err='psb_sp_all'
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call psb_errpush(info,name,a_err=ch_err)
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goto 9999
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end if
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if (.false.) then
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!!$ if (debug_level >= psb_debug_inner_) then
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write(fname,'(a,i0,a)') 'invt-lo-',me,'.mtx'
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call lmat%print(fname,head="INVTLOW")
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write(fname,'(a,i0,a)') 'invt-up-',me,'.mtx'
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call umat%print(fname,head="INVTUPP")
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end if
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!
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! Compute the approx U^-1 and L^-1
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!
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nzrmax = invfill
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call psb_dsparse_invt(n_row,umat,atmp,nzrmax,invthresh,info)
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if (info == psb_success_) call psb_move_alloc(atmp,umat,info)
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if (info == psb_success_) call lmat%transp()
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if (info == psb_success_) call psb_dsparse_invt(n_row,lmat,atmp,nzrmax,invthresh,info)
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if (info == psb_success_) call psb_move_alloc(atmp,lmat,info)
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if (info == psb_success_) call lmat%transp()
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! Done. Hopefully....
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if (info /= psb_success_) then
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info = psb_err_internal_error_
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call psb_errpush(info,name,a_err='invt')
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goto 9999
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end if
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call psb_move_alloc(pd,d,info)
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call lmat%set_asb()
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call lmat%trim()
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call umat%set_asb()
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call umat%trim()
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if (debug_level >= psb_debug_outer_) &
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& write(debug_unit,*) me,' ',trim(name),' end'
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call psb_erractionrestore(err_act)
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return
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9999 call psb_error_handler(err_act)
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return
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end subroutine psb_d_invt_bld
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subroutine psb_dsparse_invt(n,a,z,nzrmax,sp_thresh,info)
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use psb_base_mod
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use psb_d_invt_fact_mod, psb_protect_name => psb_dsparse_invt
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implicit none
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integer(psb_ipk_), intent(in) :: n
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type(psb_dspmat_type), intent(in) :: a
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type(psb_dspmat_type), intent(inout) :: z
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integer(psb_ipk_), intent(in) :: nzrmax
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real(psb_dpk_), intent(in) :: sp_thresh
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integer(psb_ipk_), intent(out) :: info
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!
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integer(psb_ipk_) :: i,j,k, err_act, nz, nzra, nzrz, ipz1,ipz2, nzz, ip1, ip2, l2
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integer(psb_ipk_), allocatable :: ia(:), ja(:), iz(:),jz(:)
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real(psb_dpk_), allocatable :: zw(:), val(:), valz(:)
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integer(psb_ipk_), allocatable :: uplevs(:), rowlevs(:),idxs(:)
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real(psb_dpk_), allocatable :: row(:)
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type(psb_d_coo_sparse_mat) :: trw
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type(psb_d_csr_sparse_mat) :: acsr, zcsr
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integer(psb_ipk_) :: ktrw, nidx, nlw,nup,jmaxup
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type(psb_i_heap) :: heap
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real(psb_dpk_) :: alpha, nrmi
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character(len=20) :: name='psb_sp_invt'
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info = psb_success_
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call psb_erractionsave(err_act)
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if (psb_errstatus_fatal()) then
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info = psb_err_internal_error_; goto 9999
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end if
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if (.not.(a%is_triangle().and.a%is_unit().and.a%is_upper())) then
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write(psb_err_unit,*) 'Wrong A '
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info = psb_err_internal_error_
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call psb_errpush(psb_err_internal_error_,name,a_err='wrong A')
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goto 9999
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end if
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call a%cp_to(acsr)
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call trw%allocate(izero,izero,ione)
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if (info == psb_success_) allocate(zw(n),iz(n),valz(n),&
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& row(n),rowlevs(n),stat=info)
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if (info /= psb_success_) then
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call psb_errpush(psb_err_from_subroutine_,name,a_err='Allocate')
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goto 9999
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end if
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call zcsr%allocate(n,n,n*nzrmax)
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call zcsr%set_triangle()
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call zcsr%set_unit(.false.)
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call zcsr%set_upper()
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!
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!
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nzz = 0
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row(:) = dzero
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rowlevs(:) = 0
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l2 = 0
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zcsr%irp(1) = 1
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outer: do i = 1, n-1
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! ZW = e_i
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call psb_d_invt_copyin(i,n,acsr,i,ione,n,nlw,nup,jmaxup,nrmi,row,&
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& heap,rowlevs,ktrw,trw,info,sign=-done)
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if (info /= 0) exit
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row(i) = done
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! Adjust norm
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if (nrmi < done) then
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nrmi = sqrt(done + nrmi**2)
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else
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nrmi = nrmi*sqrt(done+done/(nrmi**2))
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end if
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call psb_invt_inv(sp_thresh,i,nrmi,row,heap,rowlevs,&
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& acsr%ja,acsr%irp,acsr%val,nidx,idxs,info)
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if (info /= 0) exit
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!!$ write(0,*) 'Calling copyout ',nzrmax,nlw,nup,nidx,l2
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call psb_d_invt_copyout(nzrmax,sp_thresh,i,n,nlw,nup,jmaxup,nrmi,row,&
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& nidx,idxs,l2,zcsr%ja,zcsr%irp,zcsr%val,info)
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if (info /= 0) exit
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nzz = l2
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end do outer
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if (info /= psb_success_) then
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info = psb_err_internal_error_
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call psb_errpush(info,name,a_err='mainloop')
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goto 9999
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end if
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ipz1 = nzz+1
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call psb_ensure_size(ipz1,zcsr%val,info)
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call psb_ensure_size(ipz1,zcsr%ja,info)
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zcsr%val(ipz1) = done
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zcsr%ja(ipz1) = n
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zcsr%irp(n+1) = ipz1+1
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call z%mv_from(zcsr)
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call psb_erractionrestore(err_act)
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return
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9999 call psb_error_handler(err_act)
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return
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end subroutine psb_dsparse_invt
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subroutine psb_d_invt_copyin(i,m,a,jd,jmin,jmax,nlw,nup,jmaxup,nrmi,row,heap,&
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& irwt,ktrw,trw,info,sign)
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use psb_base_mod
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use psb_d_invt_fact_mod, psb_protect_name => psb_d_invt_copyin
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implicit none
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type(psb_d_csr_sparse_mat), intent(in) :: a
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type(psb_d_coo_sparse_mat), intent(inout) :: trw
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integer(psb_ipk_), intent(in) :: i, m,jmin,jmax,jd
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integer(psb_ipk_), intent(inout) :: ktrw,nlw,nup,jmaxup,info
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integer(psb_ipk_), intent(inout) :: irwt(:)
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real(psb_dpk_), intent(inout) :: nrmi
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real(psb_dpk_), intent(inout) :: row(:)
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type(psb_i_heap), intent(inout) :: heap
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real(psb_dpk_), intent(in), optional :: sign
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!
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integer(psb_ipk_) :: k,j,irb,kin,nz, err_act
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integer(psb_ipk_), parameter :: nrb=16
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real(psb_dpk_) :: dmaxup, sign_
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real(psb_dpk_), external :: dnrm2
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character(len=20), parameter :: name='invt_copyin'
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info = psb_success_
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call psb_erractionsave(err_act)
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if (psb_errstatus_fatal()) then
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info = psb_err_internal_error_; goto 9999
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end if
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call heap%init(info)
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if (info /= psb_success_) then
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info=psb_err_from_subroutine_
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call psb_errpush(info,name,a_err='psb_init_heap')
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goto 9999
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end if
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sign_ = done
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if (present(sign)) sign_ = sign
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!
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! nrmi is the norm of the current sparse row (for the time being,
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! we use the 2-norm).
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! NOTE: the 2-norm below includes also elements that are outside
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! [jmin:jmax] strictly. Is this really important? TO BE CHECKED.
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!
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nlw = 0
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nup = 0
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jmaxup = 0
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dmaxup = dzero
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nrmi = dzero
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do j = a%irp(i), a%irp(i+1) - 1
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k = a%ja(j)
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if ((jmin<=k).and.(k<=jmax)) then
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row(k) = sign_ * a%val(j)
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call heap%insert(k,info)
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irwt(k) = 1
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if (info /= psb_success_) then
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info=psb_err_from_subroutine_
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call psb_errpush(info,name,a_err='psb_insert_heap')
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goto 9999
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end if
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end if
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if (k<jd) nlw = nlw + 1
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if (k>jd) then
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nup = nup + 1
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if (abs(row(k))>dmaxup) then
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jmaxup = k
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dmaxup = abs(row(k))
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end if
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end if
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end do
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nz = a%irp(i+1) - a%irp(i)
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nrmi = dnrm2(nz,a%val(a%irp(i):),ione)
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return
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9999 call psb_error_handler(err_act)
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return
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end subroutine psb_d_invt_copyin
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subroutine psb_d_invt_copyout(fill_in,thres,i,m,nlw,nup,jmaxup,nrmi,row, &
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& nidx,idxs,l2,ja,irp,val,info)
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use psb_base_mod
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use psb_d_invt_fact_mod, psb_protect_name => psb_d_invt_copyout
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implicit none
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! Arguments
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integer(psb_ipk_), intent(in) :: fill_in,i,m,nidx,nlw,nup,jmaxup
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integer(psb_ipk_), intent(in) :: idxs(:)
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integer(psb_ipk_), intent(inout) :: l2, info
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integer(psb_ipk_), allocatable, intent(inout) :: ja(:),irp(:)
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real(psb_dpk_), intent(in) :: thres,nrmi
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real(psb_dpk_),allocatable, intent(inout) :: val(:)
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real(psb_dpk_), intent(inout) :: row(:)
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! Local variables
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real(psb_dpk_),allocatable :: xw(:)
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integer(psb_ipk_), allocatable :: xwid(:), indx(:)
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real(psb_dpk_) :: witem, wmin
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integer(psb_ipk_) :: widx
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integer(psb_ipk_) :: k,isz,err_act,int_err(5),idxp, nz
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type(psb_d_idx_heap) :: heap
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character(len=20), parameter :: name='invt_copyout'
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character(len=20) :: ch_err
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logical :: fndmaxup
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info = psb_success_
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call psb_erractionsave(err_act)
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if (psb_errstatus_fatal()) then
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info = psb_err_internal_error_; goto 9999
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end if
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!
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! Here we need to apply also the dropping rule base on the fill-in.
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! We do it by putting into a heap the elements that are not dropped
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! by using the 2-norm rule, and then copying them out.
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!
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! The heap goes down on the entry absolute value, so the first item
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! is the largest absolute value.
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!
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!!$ write(0,*) 'invt_copyout ',nidx,nup+fill_in
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call heap%init(info,dir=psb_asort_down_)
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if (info == psb_success_) allocate(xwid(nidx),xw(nidx),indx(nidx),stat=info)
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if (info /= psb_success_) then
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info=psb_err_alloc_request_
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call psb_errpush(info,name,i_err=(/3*nidx/),&
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|
& a_err='real(psb_dpk_)')
|
|
goto 9999
|
|
end if
|
|
|
|
!
|
|
! First the lower part
|
|
!
|
|
|
|
nz = 0
|
|
idxp = 0
|
|
|
|
do
|
|
|
|
idxp = idxp + 1
|
|
if (idxp > nidx) exit
|
|
if (idxs(idxp) >= i) exit
|
|
widx = idxs(idxp)
|
|
witem = row(widx)
|
|
!
|
|
! Dropping rule based on the 2-norm
|
|
!
|
|
if (abs(witem) < thres*nrmi) cycle
|
|
|
|
nz = nz + 1
|
|
xw(nz) = witem
|
|
xwid(nz) = widx
|
|
call heap%insert(witem,widx,info)
|
|
if (info /= psb_success_) then
|
|
info=psb_err_from_subroutine_
|
|
call psb_errpush(info,name,a_err='psb_insert_heap')
|
|
goto 9999
|
|
end if
|
|
end do
|
|
|
|
if (nz > 1) then
|
|
write(psb_err_unit,*) 'Warning: lower triangle from invt???? '
|
|
end if
|
|
|
|
|
|
if (idxp <= size(idxs)) then
|
|
if (idxs(idxp) < i) then
|
|
do
|
|
idxp = idxp + 1
|
|
if (idxp > nidx) exit
|
|
if (idxs(idxp) >= i) exit
|
|
end do
|
|
end if
|
|
end if
|
|
idxp = idxp - 1
|
|
nz = 0
|
|
wmin=HUGE(wmin)
|
|
if (.false.) then
|
|
do
|
|
|
|
idxp = idxp + 1
|
|
if (idxp > nidx) exit
|
|
widx = idxs(idxp)
|
|
if (widx < i) then
|
|
write(psb_err_unit,*) 'Warning: lower triangle in upper copy',widx,i,idxp,idxs(idxp)
|
|
cycle
|
|
end if
|
|
if (widx > m) then
|
|
cycle
|
|
end if
|
|
witem = row(widx)
|
|
!
|
|
! Dropping rule based on the 2-norm. But keep the jmaxup-th entry anyway.
|
|
!
|
|
if ((widx /= jmaxup) .and. (widx /= i) .and. (abs(witem) < thres*nrmi)) then
|
|
cycle
|
|
end if
|
|
if ((widx/=jmaxup).and.(nz > nup+fill_in)) then
|
|
if (abs(witem) < wmin) cycle
|
|
endif
|
|
wmin = min(abs(witem),wmin)
|
|
nz = nz + 1
|
|
xw(nz) = witem
|
|
xwid(nz) = widx
|
|
call heap%insert(witem,widx,info)
|
|
if (info /= psb_success_) then
|
|
info=psb_err_from_subroutine_
|
|
call psb_errpush(info,name,a_err='psb_insert_heap')
|
|
goto 9999
|
|
end if
|
|
|
|
end do
|
|
|
|
!
|
|
! Now we have to take out the first nup-fill_in entries. But make sure
|
|
! we include entry jmaxup.
|
|
!
|
|
if (nz <= nup+fill_in) then
|
|
!
|
|
! Just copy everything from xw
|
|
!
|
|
fndmaxup=.true.
|
|
else
|
|
fndmaxup = .false.
|
|
nz = nup+fill_in
|
|
do k=1,nz
|
|
call heap%get_first(witem,widx,info)
|
|
xw(k) = witem
|
|
xwid(k) = widx
|
|
if (widx == jmaxup) fndmaxup=.true.
|
|
end do
|
|
end if
|
|
if ((i<jmaxup).and.(jmaxup<=m)) then
|
|
if (.not.fndmaxup) then
|
|
!
|
|
! Include entry jmaxup, if it is not already there.
|
|
! Put it in the place of the smallest coefficient.
|
|
!
|
|
xw(nz) = row(jmaxup)
|
|
xwid(nz) = jmaxup
|
|
endif
|
|
end if
|
|
|
|
else if (.true.) then
|
|
|
|
do
|
|
|
|
idxp = idxp + 1
|
|
if (idxp > nidx) exit
|
|
widx = idxs(idxp)
|
|
if (widx < i) then
|
|
write(psb_err_unit,*) 'Warning: lower triangle in upper copy',widx,i,idxp,idxs(idxp)
|
|
cycle
|
|
end if
|
|
if (widx > m) then
|
|
cycle
|
|
end if
|
|
witem = row(widx)
|
|
!
|
|
! Dropping rule based on the 2-norm. But keep the jmaxup-th entry anyway.
|
|
!
|
|
if ((widx /= i) .and. (abs(witem) < thres*nrmi)) then
|
|
cycle
|
|
end if
|
|
if (nz > nup+fill_in) then
|
|
if (abs(witem) < wmin) cycle
|
|
endif
|
|
wmin = min(abs(witem),wmin)
|
|
nz = nz + 1
|
|
xw(nz) = witem
|
|
xwid(nz) = widx
|
|
call heap%insert(witem,widx,info)
|
|
if (info /= psb_success_) then
|
|
info=psb_err_from_subroutine_
|
|
call psb_errpush(info,name,a_err='psb_insert_heap')
|
|
goto 9999
|
|
end if
|
|
|
|
end do
|
|
|
|
!
|
|
! Now we have to take out the first nup-fill_in entries. But make sure
|
|
! we include entry jmaxup.
|
|
!
|
|
if (nz > nup+fill_in) then
|
|
nz = nup+fill_in
|
|
do k=1,nz
|
|
call heap%get_first(witem,widx,info)
|
|
xw(k) = witem
|
|
xwid(k) = widx
|
|
end do
|
|
end if
|
|
end if
|
|
|
|
!
|
|
! Now we put things back into ascending column order
|
|
!
|
|
call psb_msort(xwid(1:nz),indx(1:nz),dir=psb_sort_up_)
|
|
|
|
!
|
|
! Copy out the upper part of the row
|
|
!
|
|
do k=1,nz
|
|
l2 = l2 + 1
|
|
if (size(val) < l2) then
|
|
!
|
|
! Figure out a good reallocation size!
|
|
!
|
|
isz = max(int(1.2*l2),l2+100)
|
|
call psb_realloc(isz,val,info)
|
|
if (info == psb_success_) call psb_realloc(isz,ja,info)
|
|
if (info /= psb_success_) then
|
|
info=psb_err_from_subroutine_
|
|
call psb_errpush(info,name,a_err='Allocate')
|
|
goto 9999
|
|
end if
|
|
end if
|
|
ja(l2) = xwid(k)
|
|
val(l2) = xw(indx(k))
|
|
end do
|
|
|
|
!
|
|
! Set row to zero
|
|
!
|
|
do idxp=1,nidx
|
|
row(idxs(idxp)) = dzero
|
|
end do
|
|
|
|
irp(i+1) = l2 + 1
|
|
|
|
call psb_erractionrestore(err_act)
|
|
return
|
|
|
|
9999 call psb_error_handler(err_act)
|
|
return
|
|
end subroutine psb_d_invt_copyout
|