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amg4psblas/mlprec/mld_daggrmat_smth_asb.F90

668 lines
20 KiB
Fortran
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!!$
!!$
!!$ MLD2P4
!!$ MultiLevel Domain Decomposition Parallel Preconditioners Package
!!$ based on PSBLAS (Parallel Sparse BLAS v.2.0)
!!$
!!$ (C) Copyright 2007 Alfredo Buttari University of Rome Tor Vergata
!!$ Pasqua D'Ambra ICAR-CNR, Naples
!!$ Daniela di Serafino Second University of Naples
!!$ Salvatore Filippone University of Rome Tor Vergata
!!$
!!$ Redistribution and use in source and binary forms, with or without
!!$ modification, are permitted provided that the following conditions
!!$ are met:
!!$ 1. Redistributions of source code must retain the above copyright
!!$ notice, this list of conditions and the following disclaimer.
!!$ 2. Redistributions in binary form must reproduce the above copyright
!!$ notice, this list of conditions, and the following disclaimer in the
!!$ documentation and/or other materials provided with the distribution.
!!$ 3. The name of the 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_smth_asb.F90
!
! Subroutine: mld_daggrmat_smth_asb
! Version: real
!
! This routine builds a coarse-level matrix A_C from a fine-level matrix A
! by using a 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%iprcparm(mld_aggr_eig_), 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%iprcparm(mld_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.
! ac - type(psb_dspmat_type), output.
! The sparse matrix structure containing the local part of
! the coarse-level matrix.
! desc_ac - type(psb_desc_type), output.
! The communication descriptor of the coarse-level matrix.
! p - type(mld_dbaseprc_type), input/output.
! The base preconditioner data structure containing the local
! part of the base preconditioner to be built.
! info - integer, output.
! Error code.
!
subroutine mld_daggrmat_smth_asb(a,desc_a,ac,desc_ac,p,info)
use psb_base_mod
use mld_prec_mod, mld_protect_name => mld_daggrmat_smth_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
type(psb_dspmat_type), intent(out) :: ac
type(psb_desc_type), intent(out) :: desc_ac
type(mld_dbaseprc_type), intent(inout), target :: p
integer, intent(out) :: info
! Local variables
type(psb_dspmat_type) :: b
integer, pointer :: nzbr(:), idisp(:)
integer :: nrow, nglob, ncol, ntaggr, nzac, ip, ndx,&
& naggr, nzl,naggrm1,naggrp1, i, j, k
integer ::ictxt,np,me, err_act, icomm
character(len=20) :: name
type(psb_dspmat_type), pointer :: am1,am2
type(psb_dspmat_type) :: am3,am4
logical :: ml_global_nmb
integer :: nz
integer, allocatable :: ia(:), ja(:)
real(kind(1.d0)), allocatable :: val(:)
integer :: debug_level, debug_unit
integer, parameter :: ncmax=16
real(kind(1.d0)) :: omega, anorm, tmp, dg
name='mld_aggrmat_smth_asb'
if(psb_get_errstatus().ne.0) return
info=0
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)
am2 => p%av(mld_sm_pr_t_)
am1 => p%av(mld_sm_pr_)
call psb_nullify_sp(am1)
call psb_nullify_sp(am2)
nglob = psb_cd_get_global_rows(desc_a)
nrow = psb_cd_get_local_rows(desc_a)
ncol = psb_cd_get_local_cols(desc_a)
naggr = p%nlaggr(me+1)
ntaggr = sum(p%nlaggr)
allocate(nzbr(np), idisp(np),stat=info)
if (info /= 0) then
info=4025
call psb_errpush(info,name,i_err=(/2*np,0,0,0,0/),&
& a_err='integer')
goto 9999
end if
naggrm1 = sum(p%nlaggr(1:me))
naggrp1 = sum(p%nlaggr(1:me+1))
ml_global_nmb = ( (p%iprcparm(mld_smooth_kind_) == mld_smooth_prol_).or.&
& ( (p%iprcparm(mld_smooth_kind_) == mld_biz_prol_).and.&
& (p%iprcparm(mld_coarse_mat_) == mld_repl_mat_)) )
if (ml_global_nmb) then
p%mlia(1:nrow) = p%mlia(1:nrow) + naggrm1
call psb_halo(p%mlia,desc_a,info)
if (info /= 0) then
call psb_errpush(4010,name,a_err='psb_halo')
goto 9999
end if
end if
! naggr: number of local aggregates
! nrow: local rows.
!
allocate(p%dorig(nrow),stat=info)
if (info /= 0) then
info=4025
call psb_errpush(info,name,i_err=(/nrow,0,0,0,0/),&
& a_err='real(kind(1.d0))')
goto 9999
end if
! Get diagonal D
call psb_sp_getdiag(a,p%dorig,info)
if(info /= 0) then
call psb_errpush(4010,name,a_err='sp_getdiag')
goto 9999
end if
do i=1,size(p%dorig)
if (p%dorig(i) /= dzero) then
p%dorig(i) = done / p%dorig(i)
else
p%dorig(i) = done
end if
end do
! 1. Allocate Ptilde in sparse matrix form
am4%fida='COO'
am4%m=ncol
if (ml_global_nmb) then
am4%k=ntaggr
call psb_sp_all(ncol,ntaggr,am4,ncol,info)
else
am4%k=naggr
call psb_sp_all(ncol,naggr,am4,ncol,info)
endif
if (info /= 0) then
call psb_errpush(4010,name,a_err='spall')
goto 9999
end if
if (ml_global_nmb) then
do i=1,ncol
am4%aspk(i) = done
am4%ia1(i) = i
am4%ia2(i) = p%mlia(i)
end do
am4%infoa(psb_nnz_) = ncol
else
do i=1,nrow
am4%aspk(i) = done
am4%ia1(i) = i
am4%ia2(i) = p%mlia(i)
end do
am4%infoa(psb_nnz_) = nrow
endif
call psb_spcnv(am4,info,afmt='csr',dupl=psb_dupl_add_)
if (info==0) call psb_spcnv(a,am3,info,afmt='csr',dupl=psb_dupl_add_)
if (info /= 0) then
call psb_errpush(4010,name,a_err='spcnv')
goto 9999
end if
if (debug_level >= psb_debug_outer_) &
& write(debug_unit,*) me,' ',trim(name),&
& ' Initial copies done.'
!
! WARNING: the cycles below assume that AM3 does have
! its diagonal elements stored explicitly!!!
! Should we switch to something safer?
!
call psb_sp_scal(am3,p%dorig,info)
if (info /= 0) goto 9999
if (p%iprcparm(mld_aggr_eig_) == mld_max_norm_) then
if (p%iprcparm(mld_smooth_kind_) == mld_biz_prol_) then
!
! This only works with CSR.
!
if (toupper(am3%fida)=='CSR') then
anorm = dzero
dg = done
do i=1,am3%m
tmp = dzero
do j=am3%ia2(i),am3%ia2(i+1)-1
if (am3%ia1(j) <= am3%m) then
tmp = tmp + dabs(am3%aspk(j))
endif
if (am3%ia1(j) == i ) then
dg = dabs(am3%aspk(j))
end if
end do
anorm = max(anorm,tmp/dg)
enddo
call psb_amx(ictxt,anorm)
else
info = 4001
endif
else
anorm = psb_spnrmi(am3,desc_a,info)
endif
if (info /= 0) then
call psb_errpush(4001,name,a_err='Invalid AM3 storage format')
goto 9999
end if
omega = 4.d0/(3.d0*anorm)
p%dprcparm(mld_aggr_damp_) = omega
else if (p%iprcparm(mld_aggr_eig_) == mld_user_choice_) then
omega = p%dprcparm(mld_aggr_damp_)
else if (p%iprcparm(mld_aggr_eig_) /= mld_user_choice_) then
info = 4001
call psb_errpush(info,name,a_err='invalid mld_aggr_eig_')
goto 9999
end if
if (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 - omega*am3%aspk(j)
else
am3%aspk(j) = - omega*am3%aspk(j)
end if
end do
end do
else
call psb_errpush(4001,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-wDA)Ptilde
! Doing it this way means to consider diag(Ai)
!
!
call psb_symbmm(am3,am4,am1,info)
if(info /= 0) then
call psb_errpush(4010,name,a_err='symbmm 1')
goto 9999
end if
call psb_numbmm(am3,am4,am1)
if (debug_level >= psb_debug_outer_) &
& write(debug_unit,*) me,' ',trim(name),&
& 'Done NUMBMM 1'
call psb_sp_free(am4,info)
if(info /= 0) then
call psb_errpush(4010,name,a_err='sp_free')
goto 9999
end if
if (ml_global_nmb) then
!
! 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 == 0) call psb_rwextd(ncol,am1,info,b=am4)
if (info == 0) call psb_sp_free(am4,info)
else
call psb_rwextd(ncol,am1,info)
endif
if(info /= 0) then
call psb_errpush(4001,name,a_err='Halo of am1')
goto 9999
end if
call psb_symbmm(a,am1,am3,info)
if(info /= 0) then
call psb_errpush(4010,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'
if (p%iprcparm(mld_smooth_kind_) == mld_smooth_prol_) then
call psb_transp(am1,am2,fmt='COO')
nzl = am2%infoa(psb_nnz_)
i=0
!
! Now we have to fix this. The only rows of B that are correct
! are those corresponding to "local" aggregates, i.e. indices in p%mlia(:)
!
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 /=0) then
call psb_errpush(4010,name,a_err='spcnv am2')
goto 9999
end if
else
call psb_transp(am1,am2)
endif
if (debug_level >= psb_debug_outer_) &
& write(debug_unit,*) me,' ',trim(name),&
& 'starting sphalo/ rwxtd'
if (p%iprcparm(mld_smooth_kind_) == mld_smooth_prol_) then
! am2 = ((i-wDA)Ptilde)^T
call psb_sphalo(am3,desc_a,am4,info,&
& colcnv=.false.,rowscale=.true.)
if (info == 0) call psb_rwextd(ncol,am3,info,b=am4)
if (info == 0) call psb_sp_free(am4,info)
else if (p%iprcparm(mld_smooth_kind_) == mld_biz_prol_) then
call psb_rwextd(ncol,am3,info)
endif
if(info /= 0) then
call psb_errpush(4001,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 == 0) call psb_numbmm(am2,am3,b)
if (info == 0) call psb_sp_free(am3,info)
if (info == 0) call psb_spcnv(b,info,afmt='coo',dupl=psb_dupl_add_)
if (info /= 0) then
call psb_errpush(4001,name,a_err='Build b = am2 x am3')
goto 9999
end if
select case(p%iprcparm(mld_smooth_kind_))
case(mld_smooth_prol_)
select case(p%iprcparm(mld_coarse_mat_))
case(mld_distr_mat_)
call psb_sp_clone(b,ac,info)
nzac = ac%infoa(psb_nnz_)
nzl = ac%infoa(psb_nnz_)
if (info == 0) call psb_cdall(ictxt,desc_ac,info,nl=p%nlaggr(me+1))
if (info == 0) call psb_cdins(nzl,ac%ia1,ac%ia2,desc_ac,info)
if (info == 0) call psb_cdasb(desc_ac,info)
if (info == 0) call psb_glob_to_loc(ac%ia1(1:nzl),desc_ac,info,iact='I')
if (info == 0) call psb_glob_to_loc(ac%ia2(1:nzl),desc_ac,info,iact='I')
if (info /= 0) then
call psb_errpush(4001,name,a_err='Creating 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.'
ac%m=desc_ac%matrix_data(psb_n_row_)
ac%k=desc_ac%matrix_data(psb_n_col_)
ac%fida='COO'
ac%descra='GUN'
call psb_sp_free(b,info)
if (info == 0) deallocate(nzbr,idisp,stat=info)
if (info /= 0) then
call psb_errpush(4010,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),desc_ac,info,'I')
if(info /= 0) then
call psb_errpush(4010,name,a_err='psb_glob_to_loc')
goto 9999
end if
endif
am1%k=desc_ac%matrix_data(psb_n_col_)
if (np>1) then
call psb_spcnv(am2,info,afmt='coo',dupl=psb_dupl_add_)
nzl = am2%infoa(psb_nnz_)
if (info == 0) call psb_glob_to_loc(am2%ia1(1:nzl),desc_ac,info,'I')
if (info == 0) call psb_spcnv(am2,info,afmt='csr',dupl=psb_dupl_add_)
if(info /= 0) then
call psb_errpush(4001,name,a_err='Converting am2 to local')
goto 9999
end if
end if
am2%m=desc_ac%matrix_data(psb_n_col_)
if (debug_level >= psb_debug_outer_) &
& write(debug_unit,*) me,' ',trim(name),&
& 'Done ac '
case(mld_repl_mat_)
!
!
call psb_cdall(ictxt,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 == 0) call psb_sp_all(ntaggr,ntaggr,ac,nzac,info)
if (info /= 0) 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,ac%aspk,nzbr,idisp,&
& mpi_double_precision,icomm,info)
if (info == 0) call mpi_allgatherv(b%ia1,ndx,mpi_integer,ac%ia1,nzbr,idisp,&
& mpi_integer,icomm,info)
if (info == 0) call mpi_allgatherv(b%ia2,ndx,mpi_integer,ac%ia2,nzbr,idisp,&
& mpi_integer,icomm,info)
if (info /= 0) then
call psb_errpush(4001,name,a_err=' from mpi_allgatherv')
goto 9999
end if
ac%m = ntaggr
ac%k = ntaggr
ac%infoa(psb_nnz_) = nzac
ac%fida='COO'
ac%descra='GUN'
call psb_spcnv(ac,info,afmt='coo',dupl=psb_dupl_add_)
if(info /= 0) goto 9999
call psb_sp_free(b,info)
if(info /= 0) goto 9999
deallocate(nzbr,idisp,stat=info)
if (info /= 0) then
info = 4000
call psb_errpush(info,name)
goto 9999
end if
case default
info = 4001
call psb_errpush(info,name,a_err='invalid mld_coarse_mat_')
goto 9999
end select
case(mld_biz_prol_)
select case(p%iprcparm(mld_coarse_mat_))
case(mld_distr_mat_)
call psb_sp_clone(b,ac,info)
if (info == 0) call psb_cdall(ictxt,desc_ac,info,nl=naggr)
if (info == 0) call psb_cdasb(desc_ac,info)
if (info == 0) call psb_sp_free(b,info)
if (info /= 0) then
call psb_errpush(4010,name,a_err='Build desc_ac, ac')
goto 9999
end if
case(mld_repl_mat_)
!
!
call psb_cdall(ictxt,desc_ac,info,mg=ntaggr,repl=.true.)
if(info /= 0) then
call psb_errpush(4010,name,a_err='psb_cdall')
goto 9999
end if
nzbr(:) = 0
nzbr(me+1) = b%infoa(psb_nnz_)
call psb_sum(ictxt,nzbr(1:np))
nzac = sum(nzbr)
call psb_sp_all(ntaggr,ntaggr,ac,nzac,info)
if(info /= 0) then
call psb_errpush(4010,name,a_err='psb_sp_all')
goto 9999
end if
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,ac%aspk,nzbr,idisp,&
& mpi_double_precision,icomm,info)
if (info == 0) call mpi_allgatherv(b%ia1,ndx,mpi_integer,ac%ia1,nzbr,idisp,&
& mpi_integer,icomm,info)
if (info == 0) call mpi_allgatherv(b%ia2,ndx,mpi_integer,ac%ia2,nzbr,idisp,&
& mpi_integer,icomm,info)
if (info /= 0) then
call psb_errpush(4001,name,a_err=' from mpi_allgatherv')
goto 9999
end if
ac%m = ntaggr
ac%k = ntaggr
ac%infoa(psb_nnz_) = nzac
ac%fida='COO'
ac%descra='GUN'
call psb_spcnv(ac,info,afmt='coo',dupl=psb_dupl_add_)
if(info /= 0) then
call psb_errpush(4010,name,a_err='spcnv')
goto 9999
end if
call psb_sp_free(b,info)
if(info /= 0) then
call psb_errpush(4010,name,a_err='psb_sp_free')
goto 9999
end if
case default
info = 4001
call psb_errpush(info,name,a_err='invalid mld_coarse_mat_')
goto 9999
end select
deallocate(nzbr,idisp,stat=info)
if (info /= 0) then
info = 4000
call psb_errpush(info,name)
goto 9999
end if
case default
info = 4001
call psb_errpush(info,name,a_err='invalid mld_smooth_prol_')
goto 9999
end select
call psb_spcnv(ac,info,afmt='csr',dupl=psb_dupl_add_)
if(info /= 0) then
call psb_errpush(4010,name,a_err='spcnv')
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
end subroutine mld_daggrmat_smth_asb
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