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amg4psblas/mlprec/mld_daggrmat_minnrg_asb.F90

953 lines
32 KiB
Fortran

!!$
!!$
!!$ MLD2P4 version 2.0
!!$ MultiLevel Domain Decomposition Parallel Preconditioners Package
!!$ based on PSBLAS (Parallel Sparse BLAS version 3.0)
!!$
!!$ (C) Copyright 2008,2009,2010
!!$
!!$ Salvatore Filippone University of Rome Tor Vergata
!!$ Alfredo Buttari CNRS-IRIT, Toulouse
!!$ Pasqua D'Ambra ICAR-CNR, Naples
!!$ Daniela di Serafino Second University of Naples
!!$
!!$ 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 MLD2P4 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 MLD2P4 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.
!!$
!!$
! File: mld_daggrmat_minnrg_asb.F90
!
! Subroutine: mld_daggrmat_minnrg_asb
! Version: real
!
! This routine builds a coarse-level matrix A_C from a fine-level matrix A
! by using the Galerkin approach, i.e.
!
! A_C = P_C^T A P_C,
!
! where P_C is a prolongator from the coarse level to the fine one.
!
! The prolongator P_C is built according to a smoothed aggregation algorithm,
! i.e. it is obtained by applying a damped Jacobi smoother to the piecewise
! constant interpolation operator P corresponding to the fine-to-coarse level
! mapping built by the mld_aggrmap_bld subroutine:
!
! P_C = (I - omega*D^(-1)A) * P,
!
! where D is the diagonal matrix with main diagonal equal to the main diagonal
! of A, and omega is a suitable smoothing parameter. An estimate of the spectral
! radius of D^(-1)A, to be used in the computation of omega, is provided,
! according to the value of p%parms%aggr_omega_alg, specified by the user
! through mld_dprecinit and mld_dprecset.
!
! This routine can also build A_C according to a "bizarre" aggregation algorithm,
! using a "naive" prolongator proposed by the authors of MLD2P4. However, this
! prolongator still requires a deep analysis and testing and its use is not
! recommended.
!
! The coarse-level matrix A_C is distributed among the parallel processes or
! replicated on each of them, according to the value of p%parms%coarse_mat,
! specified by the user through mld_dprecinit and mld_dprecset.
!
! For more details see
! M. Brezina and P. Vanek, A black-box iterative solver based on a
! two-level Schwarz method, Computing, 63 (1999), 233-263.
! P. D'Ambra, D. di Serafino and S. Filippone, On the development of
! PSBLAS-based parallel two-level Schwarz preconditioners, Appl. Num. Math.
! 57 (2007), 1181-1196.
!
! Arguments:
! a - type(psb_dspmat_type), input.
! The sparse matrix structure containing the local part of
! the fine-level matrix.
! desc_a - type(psb_desc_type), input.
! The communication descriptor of the fine-level matrix.
! p - type(mld_donelev_type), input/output.
! The 'one-level' data structure that will contain the local
! part of the matrix to be built as well as the information
! concerning the prolongator and its transpose.
! ilaggr - integer, dimension(:), allocatable.
! The mapping between the row indices of the coarse-level
! matrix and the row indices of the fine-level matrix.
! ilaggr(i)=j means that node i in the adjacency graph
! of the fine-level matrix is mapped onto node j in the
! adjacency graph of the coarse-level matrix.
! nlaggr - integer, dimension(:), allocatable.
! nlaggr(i) contains the aggregates held by process i.
! info - integer, output.
! Error code.
!
subroutine mld_daggrmat_minnrg_asb(a,desc_a,ilaggr,nlaggr,p,info)
use psb_base_mod
use mld_d_inner_mod, mld_protect_name => mld_daggrmat_minnrg_asb
#ifdef MPI_MOD
use mpi
#endif
implicit none
#ifdef MPI_H
include 'mpif.h'
#endif
! Arguments
type(psb_dspmat_type), intent(in) :: a
type(psb_desc_type), intent(in) :: desc_a
integer, intent(inout) :: ilaggr(:), nlaggr(:)
type(mld_donelev_type), intent(inout), target :: p
integer, intent(out) :: info
! Local variables
type(psb_dspmat_type) :: b
integer, allocatable :: nzbr(:), idisp(:)
integer :: nrow, nglob, ncol, ntaggr, nzac, ip, ndx,&
& naggr, nzl,naggrm1,naggrp1, i, j, k, jd, icolF, nrt
integer ::ictxt,np,me, err_act, icomm
character(len=20) :: name
!!$ type(psb_dspmat_type) :: am1,am2, af, ptilde, rtilde, atran, atp, atdatp
!!$ type(psb_dspmat_type) :: am3,am4, ap, adap,atmp,rada, ra, atmp2
real(psb_dpk_), allocatable :: adiag(:), pj(:), xj(:), yj(:), omf(:),omp(:),omi(:),&
& oden(:), adinv(:)
logical :: filter_mat
integer :: debug_level, debug_unit
integer, parameter :: ncmax=16
real(psb_dpk_) :: omega, anorm, tmp, dg, theta, alpha,beta, ommx
name='mld_aggrmat_minnrg'
if(psb_get_errstatus().ne.0) return
info=psb_success_
call psb_erractionsave(err_act)
debug_unit = psb_get_debug_unit()
debug_level = psb_get_debug_level()
ictxt = psb_cd_get_context(desc_a)
icomm = psb_cd_get_mpic(desc_a)
ictxt = psb_cd_get_context(desc_a)
call psb_info(ictxt, me, np)
!!$
!!$
!!$ call psb_nullify_sp(b)
!!$ call psb_nullify_sp(am3)
!!$ call psb_nullify_sp(am4)
!!$ call psb_nullify_sp(am1)
!!$ call psb_nullify_sp(am2)
!!$ call psb_nullify_sp(Ap)
!!$ call psb_nullify_sp(Adap)
!!$ call psb_nullify_sp(Atmp)
!!$ call psb_nullify_sp(Atmp2)
!!$ call psb_nullify_sp(Atran)
!!$ call psb_nullify_sp(Atp)
!!$ call psb_nullify_sp(atdatp)
!!$ call psb_nullify_sp(AF)
!!$ call psb_nullify_sp(ra)
!!$ call psb_nullify_sp(rada)
!!$ call psb_nullify_sp(ptilde)
!!$ call psb_nullify_sp(rtilde)
!!$
!!$ nglob = psb_cd_get_global_rows(desc_a)
!!$ nrow = psb_cd_get_local_rows(desc_a)
!!$ ncol = psb_cd_get_local_cols(desc_a)
!!$
!!$ theta = p%rprcparm(mld_aggr_thresh_)
!!$
!!$ naggr = nlaggr(me+1)
!!$ ntaggr = sum(nlaggr)
!!$
!!$ allocate(nzbr(np), idisp(np),stat=info)
!!$ if (info /= psb_success_) then
!!$ info=psb_err_alloc_request_
!!$ call psb_errpush(info,name,i_err=(/2*np,0,0,0,0/),&
!!$ & a_err='integer')
!!$ goto 9999
!!$ end if
!!$
!!$ naggrm1 = sum(nlaggr(1:me))
!!$ naggrp1 = sum(nlaggr(1:me+1))
!!$
!!$ filter_mat = (p%parms%aggr_filter == mld_filter_mat_)
!!$
!!$ ilaggr(1:nrow) = ilaggr(1:nrow) + naggrm1
!!$ call psb_halo(ilaggr,desc_a,info)
!!$
!!$ if (info /= psb_success_) then
!!$ call psb_errpush(psb_err_from_subroutine_,name,a_err='psb_halo')
!!$ goto 9999
!!$ end if
!!$
!!$ ! naggr: number of local aggregates
!!$ ! nrow: local rows.
!!$ !
!!$ allocate(adiag(ncol),adinv(ncol),xj(ncol),&
!!$ & yj(ncol),omf(ncol),omp(ntaggr),oden(ntaggr),omi(ncol),stat=info)
!!$
!!$ if (info /= psb_success_) then
!!$ info=psb_err_alloc_request_
!!$ call psb_errpush(info,name,i_err=(/6*ncol+ntaggr,0,0,0,0/),&
!!$ & a_err='real(psb_dpk_)')
!!$ goto 9999
!!$ end if
!!$
!!$ ! Get the diagonal D
!!$ call psb_sp_getdiag(a,adiag,info)
!!$ if (info == psb_success_) &
!!$ & call psb_halo(adiag,desc_a,info)
!!$
!!$ if(info /= psb_success_) then
!!$ call psb_errpush(psb_err_from_subroutine_,name,a_err='sp_getdiag')
!!$ goto 9999
!!$ end if
!!$
!!$ ! 1. Allocate Ptilde in sparse matrix form
!!$ ptilde%fida='COO'
!!$ ptilde%m=ncol
!!$ ptilde%k=ntaggr
!!$ call psb_sp_all(ncol,ntaggr,ptilde,ncol,info)
!!$
!!$
!!$ if (info /= psb_success_) then
!!$ call psb_errpush(psb_err_from_subroutine_,name,a_err='spall')
!!$ goto 9999
!!$ end if
!!$
!!$ do i=1,ncol
!!$ ptilde%aspk(i) = done
!!$ ptilde%ia1(i) = i
!!$ ptilde%ia2(i) = ilaggr(i)
!!$ end do
!!$ ptilde%infoa(psb_nnz_) = ncol
!!$
!!$ call psb_spcnv(ptilde,info,afmt='csr',dupl=psb_dupl_add_)
!!$ if (info == psb_success_) call psb_spcnv(a,am3,info,afmt='csr',dupl=psb_dupl_add_)
!!$ if (info /= psb_success_) then
!!$ call psb_errpush(psb_err_from_subroutine_,name,a_err='spcnv')
!!$ goto 9999
!!$ end if
!!$ if (debug_level >= psb_debug_outer_) &
!!$ & write(debug_unit,*) me,' ',trim(name),&
!!$ & ' Initial copies done.'
!!$
!!$ call psb_symbmm(am3,ptilde,ap,info)
!!$ if (info == psb_success_) call psb_numbmm(am3,ptilde,ap)
!!$
!!$ if(info /= psb_success_) then
!!$ call psb_errpush(psb_err_from_subroutine_,name,a_err='symbmm 1')
!!$ goto 9999
!!$ end if
!!$
!!$ call psb_sp_clone(ap,atmp,info)
!!$
!!$
!!$ do i=1,size(adiag)
!!$ if (adiag(i) /= dzero) then
!!$ adinv(i) = done / adiag(i)
!!$ else
!!$ adinv(i) = done
!!$ end if
!!$ end do
!!$ call psb_sp_scal(adinv,atmp,info)
!!$ call psb_sphalo(atmp,desc_a,am4,info,&
!!$ & colcnv=.false.,rowscale=.true.,outfmt='CSR ')
!!$ if (info == psb_success_) call psb_rwextd(ncol,atmp,info,b=am4)
!!$ if (info == psb_success_) call psb_sp_free(am4,info)
!!$
!!$ call psb_symbmm(am3,atmp,adap,info)
!!$ call psb_numbmm(am3,atmp,adap)
!!$ call psb_sp_free(atmp,info)
!!$
!!$! !$ write(0,*) 'Columns of AP',psb_sp_get_ncols(ap)
!!$! !$ write(0,*) 'Columns of ADAP',psb_sp_get_ncols(adap)
!!$ call psb_spcnv(ap,info,afmt='coo')
!!$ if (info == psb_success_) call psb_spcnv(ap,info,afmt='csc')
!!$ if (info == psb_success_) call psb_spcnv(adap,info,afmt='coo')
!!$ if (info == psb_success_) call psb_spcnv(adap,info,afmt='csc')
!!$ if (info /= psb_success_) then
!!$ write(0,*) 'Failed conversion to CSC'
!!$ end if
!!$
!!$ call csc_mat_col_prod(ap,adap,omp,info)
!!$ call csc_mat_col_prod(adap,adap,oden,info)
!!$ call psb_sum(ictxt,omp)
!!$ call psb_sum(ictxt,oden)
!!$! !$ write(debug_unit,*) trim(name),' OMP :',omp
!!$! !$ write(debug_unit,*) trim(name),' ODEN:',oden
!!$ omp = omp/oden
!!$! !$ write(0,*) 'Check on output prolongator ',omp(1:min(size(omp),10))
!!$ if (debug_level >= psb_debug_outer_) &
!!$ & write(debug_unit,*) me,' ',trim(name),&
!!$ & 'Done NUMBMM 1'
!!$
!!$ ! Compute omega_int
!!$ ommx = -1d300
!!$ do i=1, ncol
!!$ omi(i) = omp(ilaggr(i))
!!$ ommx = max(ommx,omi(i))
!!$ end do
!!$ ! Compute omega_fine
!!$ do i=1, nrow
!!$ omf(i) = ommx
!!$ do j=am3%ia2(i),am3%ia2(i+1)-1
!!$ omf(i) = min(omf(i),omi(am3%ia1(j)))
!!$ end do
!!$ omf(i) = max(dzero,omf(i))
!!$ end do
!!$
!!$
!!$ if (filter_mat) then
!!$ !
!!$ ! Build the filtered matrix Af from A
!!$ !
!!$ call psb_spcnv(a,af,info,afmt='csr',dupl=psb_dupl_add_)
!!$
!!$ do i=1,nrow
!!$ tmp = dzero
!!$ jd = -1
!!$ do j=af%ia2(i),af%ia2(i+1)-1
!!$ if (af%ia1(j) == i) jd = j
!!$ if (abs(af%aspk(j)) < theta*sqrt(abs(adiag(i)*adiag(af%ia1(j))))) then
!!$ tmp=tmp+af%aspk(j)
!!$ af%aspk(j)=dzero
!!$ endif
!!$ enddo
!!$ if (jd == -1) then
!!$ write(0,*) 'Wrong input: we need the diagonal!!!!', i
!!$ else
!!$ af%aspk(jd)=af%aspk(jd)-tmp
!!$ end if
!!$ enddo
!!$ ! Take out zeroed terms
!!$ call psb_spcnv(af,info,afmt='coo')
!!$ k = 0
!!$ do j=1,psb_sp_get_nnzeros(af)
!!$ if ((af%aspk(j) /= dzero) .or. (af%ia1(j) == af%ia2(j))) then
!!$ k = k + 1
!!$ af%aspk(k) = af%aspk(j)
!!$ af%ia1(k) = af%ia1(j)
!!$ af%ia2(k) = af%ia2(j)
!!$ end if
!!$ end do
!!$! !$ write(debug_unit,*) me,' ',trim(name),' Non zeros from filtered matrix:',k,af%m,af%k
!!$ call psb_sp_setifld(k,psb_nnz_,af,info)
!!$ call psb_spcnv(af,info,afmt='csr')
!!$ end if
!!$
!!$ omf(1:nrow) = omf(1:nrow) * adinv(1:nrow)
!!$
!!$ if (filter_mat) then
!!$ !
!!$ ! Build the smoothed prolongator using the filtered matrix
!!$ !
!!$ if (psb_toupper(af%fida) == 'CSR') then
!!$ do i=1,af%m
!!$ do j=af%ia2(i),af%ia2(i+1)-1
!!$ if (af%ia1(j) == i) then
!!$ af%aspk(j) = done - omf(i)*af%aspk(j)
!!$ else
!!$ af%aspk(j) = - omf(i)*af%aspk(j)
!!$ end if
!!$ end do
!!$ end do
!!$ else
!!$ call psb_errpush(psb_err_internal_error_,name,a_err='Invalid AF storage format')
!!$ goto 9999
!!$ end if
!!$
!!$ if (debug_level >= psb_debug_outer_) &
!!$ & write(debug_unit,*) me,' ',trim(name),&
!!$ & 'Done gather, going for SYMBMM 1'
!!$ !
!!$ ! Symbmm90 does the allocation for its result.
!!$ !
!!$ ! am1 = (I-w*D*Af)Ptilde
!!$ ! Doing it this way means to consider diag(Af_i)
!!$ !
!!$ !
!!$ call psb_symbmm(af,ptilde,am1,info)
!!$ if(info /= psb_success_) then
!!$ call psb_errpush(psb_err_from_subroutine_,name,a_err='symbmm 1')
!!$ goto 9999
!!$ end if
!!$
!!$ call psb_numbmm(af,ptilde,am1)
!!$
!!$ if (debug_level >= psb_debug_outer_) &
!!$ & write(debug_unit,*) me,' ',trim(name),&
!!$ & 'Done NUMBMM 1'
!!$ else
!!$ !
!!$ ! Build the smoothed prolongator using the original matrix
!!$ !
!!$ if (psb_toupper(am3%fida) == 'CSR') then
!!$ do i=1,am3%m
!!$ do j=am3%ia2(i),am3%ia2(i+1)-1
!!$ if (am3%ia1(j) == i) then
!!$ am3%aspk(j) = done - omf(i)*am3%aspk(j)
!!$ else
!!$ am3%aspk(j) = - omf(i)*am3%aspk(j)
!!$ end if
!!$ end do
!!$ end do
!!$ else
!!$ call psb_errpush(psb_err_internal_error_,name,a_err='Invalid AM3 storage format')
!!$ goto 9999
!!$ end if
!!$
!!$ if (debug_level >= psb_debug_outer_) &
!!$ & write(debug_unit,*) me,' ',trim(name),&
!!$ & 'Done gather, going for SYMBMM 1'
!!$ !
!!$ ! Symbmm90 does the allocation for its result.
!!$ !
!!$ ! am1 = (I-w*D*A)Ptilde
!!$ !
!!$ !
!!$ call psb_symbmm(am3,ptilde,am1,info)
!!$ if(info /= psb_success_) then
!!$ call psb_errpush(psb_err_from_subroutine_,name,a_err='symbmm 1')
!!$ goto 9999
!!$ end if
!!$
!!$ call psb_numbmm(am3,ptilde,am1)
!!$
!!$ if (debug_level >= psb_debug_outer_) &
!!$ & write(debug_unit,*) me,' ',trim(name),&
!!$ & 'Done NUMBMM 1'
!!$
!!$ end if
!!$
!!$ !
!!$ ! Ok, let's start over with the restrictor
!!$ !
!!$ if (.false.) then
!!$ i = 4
!!$ select case (i)
!!$ case(1)
!!$
!!$ call psb_transp(ptilde,rtilde,fmt='CSR')
!!$ call psb_spcnv(a,atmp,info,afmt='CSR')
!!$
!!$ am4%fida='COO'
!!$ am4%m=ncol-nrow
!!$ am4%k=ncol
!!$ call psb_sp_all(ncol,ntaggr,am4,ncol,info)
!!$
!!$ do i=1,ncol-nrow
!!$ am4%aspk(i) = dzero
!!$ am4%ia1(i) = i
!!$ am4%ia2(i) = nrow+i
!!$ end do
!!$ call psb_sp_setifld(nrow-ncol,psb_nnz_,am4,info)
!!$ call psb_spcnv(am4,info,afmt='CSR')
!!$ if (info == psb_success_) call psb_rwextd(ncol,atmp,info,b=am4)
!!$ if (info == psb_success_) call psb_sp_free(am4,info)
!!$
!!$ case(2)
!!$
!!$ call psb_transp(ptilde,rtilde,fmt='CSR')
!!$ call psb_spcnv(a,atmp,info,afmt='CSR')
!!$ call psb_sphalo(atmp,desc_a,am4,info,&
!!$ & colcnv=.true.,rowscale=.true.)
!!$ nrt = psb_sp_get_nrows(am4)
!!$ call psb_sp_clip(am4,atmp2,info,1,nrt,1,ncol)
!!$ call psb_spcnv(atmp2,info,afmt='CSR')
!!$ atmp2%aspk(:) = dzero
!!$ if (info == psb_success_) call psb_rwextd(ncol,atmp,info,b=atmp2)
!!$ if (info == psb_success_) call psb_sp_free(am4,info)
!!$ if (info == psb_success_) call psb_sp_free(atmp2,info)
!!$
!!$ case (3)
!!$
!!$ ! We are doing the product only on the local
!!$ ! rows, the non-local contributions will be handled
!!$ ! through the global sum.
!!$ call psb_transp(ptilde,am4,fmt='CSR')
!!$ nrt = psb_sp_get_nrows(am4)
!!$ call psb_sp_clip(am4,rtilde,info,1,nrt,1,nrow)
!!$ call psb_spcnv(a,atmp,info,afmt='CSR')
!!$
!!$ case(4)
!!$
!!$ call psb_transp(ptilde,rtilde,fmt='COO')
!!$ do i=1, psb_sp_get_nnzeros(rtilde)
!!$ if (rtilde%ia2(i) > nrow) then
!!$ rtilde%aspk(i) = dzero
!!$ end if
!!$ end do
!!$ call psb_spcnv(rtilde,info,afmt='CSR')
!!$ call psb_spcnv(a,atmp,info,afmt='CSR')
!!$ call psb_sphalo(atmp,desc_a,am4,info,&
!!$ & colcnv=.true.,rowscale=.true.)
!!$ nrt = psb_sp_get_nrows(am4)
!!$ call psb_sp_clip(am4,atmp2,info,1,nrt,1,ncol)
!!$ call psb_spcnv(atmp2,info,afmt='CSR')
!!$! !$ atmp2%aspk(:) = dzero
!!$ if (info == psb_success_) call psb_rwextd(ncol,atmp,info,b=atmp2)
!!$ if (info == psb_success_) call psb_sp_free(am4,info)
!!$ if (info == psb_success_) call psb_sp_free(atmp2,info)
!!$
!!$ case default
!!$ write(0,*) 'Not building rtilde/atmp, this will blow up'
!!$ info = psb_err_from_subroutine_
!!$ goto 9999
!!$ end select
!!$
!!$ if (info == psb_success_) call psb_symbmm(rtilde,atmp,ra,info)
!!$ if (info == psb_success_) call psb_numbmm(rtilde,atmp,ra)
!!$ if (info /= psb_success_) then
!!$ write(0,*) 'From symbmm 1:',info
!!$ goto 9999
!!$ end if
!!$ call psb_sp_scal(adinv,atmp,info)
!!$ if (info == psb_success_) call psb_symbmm(ra,atmp,rada,info)
!!$ if (info == psb_success_) call psb_numbmm(ra,atmp,rada)
!!$ if (info /= psb_success_) then
!!$ write(0,*) 'From symbmm 2:',info
!!$ goto 9999
!!$ end if
!!$
!!$ call csr_mat_row_prod(ra,rada,omp,info)
!!$ call csr_mat_row_prod(rada,rada,oden,info)
!!$ call psb_sum(ictxt,omp)
!!$ call psb_sum(ictxt,oden)
!!$ else
!!$
!!$ call psb_transp(ptilde,rtilde,fmt='CSR')
!!$ call psb_spcnv(a,atmp,info,afmt='CSR')
!!$ call psb_sphalo(atmp,desc_a,am4,info,&
!!$ & colcnv=.true.,rowscale=.true.)
!!$ nrt = psb_sp_get_nrows(am4)
!!$ call psb_sp_clip(am4,atmp2,info,1,nrt,1,ncol)
!!$ call psb_spcnv(atmp2,info,afmt='CSR')
!!$ if (info == psb_success_) call psb_rwextd(ncol,atmp,info,b=atmp2)
!!$ if (info == psb_success_) call psb_sp_free(am4,info)
!!$ if (info == psb_success_) call psb_sp_free(atmp2,info)
!!$ ! This is to compute the transpose. It ONLY works if the
!!$ ! original A has a symmetric pattern.
!!$ call psb_transp(atmp,atmp2)
!!$ call psb_sp_clip(atmp2,atran,info,1,nrow,1,ncol)
!!$ call psb_sp_free(atmp2,info)
!!$ ! Now for the product.
!!$ call psb_symbmm(atran,ptilde,atp,info)
!!$ if (info == psb_success_) call psb_numbmm(atran,ptilde,atp)
!!$ call psb_sp_clone(atp,atmp2,info)
!!$ call psb_sp_scal(adinv,atmp2,info)
!!$ call psb_sphalo(atmp2,desc_a,am4,info,&
!!$ & colcnv=.false.,rowscale=.true.,outfmt='CSR ')
!!$ if (info == psb_success_) call psb_rwextd(ncol,atmp2,info,b=am4)
!!$ if (info == psb_success_) call psb_sp_free(am4,info)
!!$
!!$ call psb_symbmm(atran,atmp2,atdatp,info)
!!$ call psb_numbmm(atran,atmp2,atdatp)
!!$ call psb_sp_free(atmp2,info)
!!$
!!$ call psb_spcnv(atp,info,afmt='coo')
!!$ if (info == psb_success_) call psb_spcnv(atp,info,afmt='csc')
!!$ if (info == psb_success_) call psb_spcnv(atdatp,info,afmt='coo')
!!$ if (info == psb_success_) call psb_spcnv(atdatp,info,afmt='csc')
!!$ if (info /= psb_success_) then
!!$ write(0,*) 'Failed conversion to CSC'
!!$ end if
!!$
!!$ call csc_mat_col_prod(atp,atdatp,omp,info)
!!$ call csc_mat_col_prod(atdatp,atdatp,oden,info)
!!$ call psb_sum(ictxt,omp)
!!$ call psb_sum(ictxt,oden)
!!$
!!$
!!$ end if
!!$! !$ write(debug_unit,*) trim(name),' OMP_R :',omp
!!$! ! $ write(debug_unit,*) trim(name),' ODEN_R:',oden
!!$ omp = omp/oden
!!$! !$ write(0,*) 'Check on output restrictor',omp(1:min(size(omp),10))
!!$ ! Compute omega_int
!!$ ommx = -1d300
!!$ do i=1, ncol
!!$ omi(i) = omp(ilaggr(i))
!!$ ommx = max(ommx,omi(i))
!!$ end do
!!$ ! Compute omega_fine
!!$ ! Going over the columns of atmp means going over the rows
!!$ ! of A^T. Hopefully ;-)
!!$ call psb_spcnv(atmp,atmp2,info,afmt='coo')
!!$ if (info == psb_success_) call psb_spcnv(atmp2,info,afmt='csc')
!!$
!!$ do i=1, nrow
!!$ omf(i) = ommx
!!$ do j=atmp2%ia2(i),atmp2%ia2(i+1)-1
!!$ omf(i) = min(omf(i),omi(atmp2%ia1(j)))
!!$ end do
!!$ omf(i) = max(dzero,omf(i))
!!$ end do
!!$ omf(1:nrow) = omf(1:nrow)*adinv(1:nrow)
!!$ call psb_halo(omf,desc_a,info)
!!$ call psb_sp_free(atmp2,info)
!!$
!!$
!!$ if (psb_toupper(atmp%fida) == 'CSR') then
!!$ do i=1,atmp%m
!!$ do j=atmp%ia2(i),atmp%ia2(i+1)-1
!!$ if (atmp%ia1(j) == i) then
!!$ atmp%aspk(j) = done - atmp%aspk(j)*omf(atmp%ia1(j))
!!$ else
!!$ atmp%aspk(j) = - atmp%aspk(j)*omf(atmp%ia1(j))
!!$ end if
!!$ end do
!!$ end do
!!$ else
!!$ call psb_errpush(psb_err_internal_error_,name,a_err='Invalid ATMP storage format')
!!$ goto 9999
!!$ end if
!!$ call psb_symbmm(rtilde,atmp,am2,info)
!!$ call psb_numbmm(rtilde,atmp,am2)
!!$
!!$ !
!!$ ! Now we have to gather the halo of am1, and add it to itself
!!$ ! to multiply it by A,
!!$ !
!!$ call psb_sphalo(am1,desc_a,am4,info,&
!!$ & colcnv=.false.,rowscale=.true.)
!!$ if (info == psb_success_) call psb_rwextd(ncol,am1,info,b=am4)
!!$ if (info == psb_success_) call psb_sp_free(am4,info)
!!$
!!$ if(info /= psb_success_) then
!!$ call psb_errpush(psb_err_internal_error_,name,a_err='Halo of am1')
!!$ goto 9999
!!$ end if
!!$
!!$
!!$
!!$ call psb_symbmm(a,am1,am3,info)
!!$ if(info /= psb_success_) then
!!$ call psb_errpush(psb_err_from_subroutine_,name,a_err='symbmm 2')
!!$ goto 9999
!!$ end if
!!$
!!$ call psb_numbmm(a,am1,am3)
!!$ if (debug_level >= psb_debug_outer_) &
!!$ & write(debug_unit,*) me,' ',trim(name),&
!!$ & 'Done NUMBMM 2'
!!$
!!$ !
!!$ ! Now we have to fix this. The only rows of B that are correct
!!$ ! are those corresponding to "local" aggregates, i.e. indices in ilaggr(:)
!!$ !
!!$ call psb_spcnv(am2,info,afmt='COO')
!!$ nzl = psb_sp_get_nnzeros(am2)
!!$ i=0
!!$ do k=1, nzl
!!$ if ((naggrm1 < am2%ia1(k)) .and. (am2%ia1(k) <= naggrp1)) then
!!$ i = i+1
!!$ am2%aspk(i) = am2%aspk(k)
!!$ am2%ia1(i) = am2%ia1(k)
!!$ am2%ia2(i) = am2%ia2(k)
!!$ end if
!!$ end do
!!$ am2%infoa(psb_nnz_) = i
!!$ call psb_spcnv(am2,info,afmt='csr',dupl=psb_dupl_add_)
!!$ if (info /= psb_success_) then
!!$ call psb_errpush(psb_err_from_subroutine_,name,a_err='spcnv am2')
!!$ goto 9999
!!$ end if
!!$
!!$ if (debug_level >= psb_debug_outer_) &
!!$ & write(debug_unit,*) me,' ',trim(name),&
!!$ & 'starting sphalo/ rwxtd'
!!$
!!$ ! am2 = ((i-wDA)Ptilde)^T
!!$ call psb_sphalo(am3,desc_a,am4,info,&
!!$ & colcnv=.false.,rowscale=.true.)
!!$ if (info == psb_success_) call psb_rwextd(ncol,am3,info,b=am4)
!!$ if (info == psb_success_) call psb_sp_free(am4,info)
!!$
!!$ if(info /= psb_success_) then
!!$ call psb_errpush(psb_err_internal_error_,name,a_err='Extend am3')
!!$ goto 9999
!!$ end if
!!$
!!$
!!$ if (debug_level >= psb_debug_outer_) &
!!$ & write(debug_unit,*) me,' ',trim(name),&
!!$ & 'starting symbmm 3'
!!$ call psb_symbmm(am2,am3,b,info)
!!$ if (info == psb_success_) call psb_numbmm(am2,am3,b)
!!$ if (info == psb_success_) call psb_sp_free(am3,info)
!!$ if (info == psb_success_) call psb_spcnv(b,info,afmt='coo',dupl=psb_dupl_add_)
!!$ if (info /= psb_success_) then
!!$ call psb_errpush(psb_err_internal_error_,name,a_err='Build b = am2 x am3')
!!$ goto 9999
!!$ end if
!!$
!!$
!!$
!!$ select case(p%parms%coarse_mat)
!!$
!!$ case(mld_distr_mat_)
!!$
!!$ call psb_sp_clone(b,p%ac,info)
!!$ nzac = p%ac%infoa(psb_nnz_)
!!$ nzl = p%ac%infoa(psb_nnz_)
!!$ if (info == psb_success_) call psb_cdall(ictxt,p%desc_ac,info,nl=nlaggr(me+1))
!!$ if (info == psb_success_) call psb_cdins(nzl,p%ac%ia1,p%ac%ia2,p%desc_ac,info)
!!$ if (info == psb_success_) call psb_cdasb(p%desc_ac,info)
!!$ if (info == psb_success_) call psb_glob_to_loc(p%ac%ia1(1:nzl),p%desc_ac,info,iact='I')
!!$ if (info == psb_success_) call psb_glob_to_loc(p%ac%ia2(1:nzl),p%desc_ac,info,iact='I')
!!$ if (info /= psb_success_) then
!!$ call psb_errpush(psb_err_internal_error_,name,a_err='Creating p%desc_ac and converting ac')
!!$ goto 9999
!!$ end if
!!$ if (debug_level >= psb_debug_outer_) &
!!$ & write(debug_unit,*) me,' ',trim(name),&
!!$ & 'Assembld aux descr. distr.'
!!$
!!$
!!$ p%ac%m=psb_cd_get_local_rows(p%desc_ac)
!!$ p%ac%k=psb_cd_get_local_cols(p%desc_ac)
!!$ p%ac%fida='COO'
!!$ p%ac%descra='GUN'
!!$
!!$ call psb_sp_free(b,info)
!!$ if (info == psb_success_) deallocate(nzbr,idisp,stat=info)
!!$ if (info /= psb_success_) then
!!$ call psb_errpush(psb_err_from_subroutine_,name,a_err='psb_sp_free')
!!$ goto 9999
!!$ end if
!!$
!!$ if (np>1) then
!!$ nzl = psb_sp_get_nnzeros(am1)
!!$ call psb_glob_to_loc(am1%ia1(1:nzl),p%desc_ac,info,'I')
!!$ if(info /= psb_success_) then
!!$ call psb_errpush(psb_err_from_subroutine_,name,a_err='psb_glob_to_loc')
!!$ goto 9999
!!$ end if
!!$ endif
!!$ am1%k=psb_cd_get_local_cols(p%desc_ac)
!!$
!!$ if (np>1) then
!!$ call psb_spcnv(am2,info,afmt='coo',dupl=psb_dupl_add_)
!!$ nzl = am2%infoa(psb_nnz_)
!!$ if (info == psb_success_) call psb_glob_to_loc(am2%ia1(1:nzl),p%desc_ac,info,'I')
!!$ if (info == psb_success_) call psb_spcnv(am2,info,afmt='csr',dupl=psb_dupl_add_)
!!$ if(info /= psb_success_) then
!!$ call psb_errpush(psb_err_internal_error_,name,a_err='Converting am2 to local')
!!$ goto 9999
!!$ end if
!!$ end if
!!$ am2%m=psb_cd_get_local_cols(p%desc_ac)
!!$
!!$ if (debug_level >= psb_debug_outer_) &
!!$ & write(debug_unit,*) me,' ',trim(name),&
!!$ & 'Done ac '
!!$
!!$ case(mld_repl_mat_)
!!$ !
!!$ !
!!$ call psb_cdall(ictxt,p%desc_ac,info,mg=ntaggr,repl=.true.)
!!$ nzbr(:) = 0
!!$ nzbr(me+1) = b%infoa(psb_nnz_)
!!$
!!$ call psb_sum(ictxt,nzbr(1:np))
!!$ nzac = sum(nzbr)
!!$ if (info == psb_success_) call psb_sp_all(ntaggr,ntaggr,p%ac,nzac,info)
!!$ if (info /= psb_success_) goto 9999
!!$
!!$ do ip=1,np
!!$ idisp(ip) = sum(nzbr(1:ip-1))
!!$ enddo
!!$ ndx = nzbr(me+1)
!!$
!!$ call mpi_allgatherv(b%aspk,ndx,mpi_double_precision,p%ac%aspk,nzbr,idisp,&
!!$ & mpi_double_precision,icomm,info)
!!$ if (info == psb_success_) call mpi_allgatherv(b%ia1,ndx,mpi_integer,p%ac%ia1,nzbr,idisp,&
!!$ & mpi_integer,icomm,info)
!!$ if (info == psb_success_) call mpi_allgatherv(b%ia2,ndx,mpi_integer,p%ac%ia2,nzbr,idisp,&
!!$ & mpi_integer,icomm,info)
!!$
!!$ if (info /= psb_success_) then
!!$ call psb_errpush(psb_err_internal_error_,name,a_err=' from mpi_allgatherv')
!!$ goto 9999
!!$ end if
!!$
!!$ p%ac%m = ntaggr
!!$ p%ac%k = ntaggr
!!$ p%ac%infoa(psb_nnz_) = nzac
!!$ p%ac%fida='COO'
!!$ p%ac%descra='GUN'
!!$ call psb_spcnv(p%ac,info,afmt='coo',dupl=psb_dupl_add_)
!!$ if(info /= psb_success_) goto 9999
!!$ call psb_sp_free(b,info)
!!$ if(info /= psb_success_) goto 9999
!!$
!!$ deallocate(nzbr,idisp,stat=info)
!!$ if (info /= psb_success_) then
!!$ info = psb_err_alloc_dealloc_
!!$ call psb_errpush(info,name)
!!$ goto 9999
!!$ end if
!!$ case default
!!$ info = psb_err_internal_error_
!!$ call psb_errpush(info,name,a_err='invalid mld_coarse_mat_')
!!$ goto 9999
!!$ end select
!!$
!!$
!!$
!!$ call psb_spcnv(p%ac,info,afmt='csr',dupl=psb_dupl_add_)
!!$ if(info /= psb_success_) then
!!$ call psb_errpush(psb_err_from_subroutine_,name,a_err='spcnv')
!!$ goto 9999
!!$ end if
!!$
!!$ !
!!$ ! Copy the prolongation/restriction matrices into the descriptor map.
!!$ ! am2 => R i.e. restriction operator
!!$ ! am1 => P i.e. prolongation operator
!!$ !
!!$ p%map = psb_linmap(psb_map_aggr_,desc_a,&
!!$ & p%desc_ac,am2,am1,ilaggr,nlaggr)
!!$ if (info == psb_success_) call psb_sp_free(am1,info)
!!$ if (info == psb_success_) call psb_sp_free(am2,info)
!!$ if(info /= psb_success_) then
!!$ call psb_errpush(psb_err_from_subroutine_,name,a_err='sp_Free')
!!$ goto 9999
!!$ end if
if (debug_level >= psb_debug_outer_) &
& write(debug_unit,*) me,' ',trim(name),&
& 'Done smooth_aggregate '
call psb_erractionrestore(err_act)
return
9999 continue
call psb_errpush(info,name)
call psb_erractionrestore(err_act)
if (err_act.eq.psb_act_abort_) then
call psb_error()
return
end if
return
contains
!!$ subroutine csc_mat_col_prod(a,b,v,info)
!!$ type(psb_dspmat_type), intent(in) :: a, b
!!$ real(psb_dpk_), intent(out) :: v(:)
!!$ integer, intent(out) :: info
!!$
!!$ integer :: i,j,k, nr, nc,iap,nra,ibp,nrb
!!$ logical :: csca, cscb
!!$
!!$ info = psb_success_
!!$ nc = psb_sp_get_ncols(a)
!!$ if (nc /= psb_sp_get_ncols(b)) then
!!$ write(0,*) 'Matrices A and B should have same columns'
!!$ info = -1
!!$ return
!!$ end if
!!$ csca = (psb_toupper(a%fida(1:3)) == 'CSC')
!!$ cscb = (psb_toupper(b%fida(1:3)) == 'CSC')
!!$
!!$ if (.not.(csca.and.cscb)) then
!!$ write(0,*) 'Matrices A and B should be in CSC'
!!$ info = -2
!!$ return
!!$ end if
!!$
!!$ do j=1, nc
!!$ iap = a%ia2(j)
!!$ nra = a%ia2(j+1)-iap
!!$ ibp = b%ia2(j)
!!$ nrb = b%ia2(j+1)-ibp
!!$ v(j) = sparse_srtd_dot(nra,a%ia1(iap:iap+nra-1),a%aspk(iap:iap+nra-1),&
!!$ & nrb,b%ia1(ibp:ibp+nrb-1),b%aspk(ibp:ibp+nrb-1))
!!$ end do
!!$
!!$ end subroutine csc_mat_col_prod
!!$
!!$
!!$ subroutine csr_mat_row_prod(a,b,v,info)
!!$ type(psb_dspmat_type), intent(in) :: a, b
!!$ real(psb_dpk_), intent(out) :: v(:)
!!$ integer, intent(out) :: info
!!$
!!$ integer :: i,j,k, nr, nc,iap,nca,ibp,ncb
!!$ logical :: csra, csrb
!!$
!!$ info = psb_success_
!!$ nr = psb_sp_get_nrows(a)
!!$ if (nr /= psb_sp_get_nrows(b)) then
!!$ write(0,*) 'Matrices A and B should have same rows'
!!$ info = -1
!!$ return
!!$ end if
!!$ csra = (psb_toupper(a%fida(1:3)) == 'CSR')
!!$ csrb = (psb_toupper(b%fida(1:3)) == 'CSR')
!!$
!!$ if (.not.(csra.and.csrb)) then
!!$ write(0,*) 'Matrices A and B should be in CSR'
!!$ info = -2
!!$ return
!!$ end if
!!$
!!$ do j=1, nr
!!$ iap = a%ia2(j)
!!$ nca = a%ia2(j+1)-iap
!!$ ibp = b%ia2(j)
!!$ ncb = b%ia2(j+1)-ibp
!!$ v(j) = sparse_srtd_dot(nca,a%ia1(iap:iap+nca-1),a%aspk(iap:iap+nca-1),&
!!$ & ncb,b%ia1(ibp:ibp+ncb-1),b%aspk(ibp:ibp+ncb-1))
!!$ end do
!!$
!!$ end subroutine csr_mat_row_prod
function sparse_srtd_dot(nv1,iv1,v1,nv2,iv2,v2) result(dot)
integer, intent(in) :: nv1,nv2
integer, intent(in) :: iv1(:), iv2(:)
real(psb_dpk_), intent(in) :: v1(:),v2(:)
real(psb_dpk_) :: dot
integer :: i,j,k, ip1, ip2
dot = dzero
ip1 = 1
ip2 = 1
do
if (ip1 > nv1) exit
if (ip2 > nv2) exit
if (iv1(ip1) == iv2(ip2)) then
dot = dot + v1(ip1)*v2(ip2)
ip1 = ip1 + 1
ip2 = ip2 + 1
else if (iv1(ip1) < iv2(ip2)) then
ip1 = ip1 + 1
else
ip2 = ip2 + 1
end if
end do
end function sparse_srtd_dot
end subroutine mld_daggrmat_minnrg_asb