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407 lines
14 KiB
Fortran
407 lines
14 KiB
Fortran
!
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!
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! AMG4PSBLAS version 1.0
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! Algebraic Multigrid Package
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! based on PSBLAS (Parallel Sparse BLAS version 3.7)
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!
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! (C) Copyright 2021
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!
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! Salvatore Filippone
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! Pasqua D'Ambra
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! Daniela di Serafino
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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 amg_d_poly_smoother_apply_vect(alpha,sm,x,beta,y,desc_data,trans,&
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& sweeps,work,wv,info,init,initu)
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use psb_base_mod
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use amg_d_diag_solver
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use psb_base_krylov_conv_mod, only : log_conv
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use amg_d_poly_smoother, amg_protect_name => amg_d_poly_smoother_apply_vect
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implicit none
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type(psb_desc_type), intent(in) :: desc_data
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class(amg_d_poly_smoother_type), intent(inout) :: sm
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type(psb_d_vect_type),intent(inout) :: x
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type(psb_d_vect_type),intent(inout) :: y
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real(psb_dpk_),intent(in) :: alpha,beta
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character(len=1),intent(in) :: trans
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integer(psb_ipk_), intent(in) :: sweeps
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real(psb_dpk_),target, intent(inout) :: work(:)
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type(psb_d_vect_type),intent(inout) :: wv(:)
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integer(psb_ipk_), intent(out) :: info
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character, intent(in), optional :: init
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type(psb_d_vect_type),intent(inout), optional :: initu
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!
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integer(psb_ipk_) :: n_row,n_col
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type(psb_d_vect_type) :: tx, ty, tz, r
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real(psb_dpk_), pointer :: aux(:)
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type(psb_ctxt_type) :: ctxt
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integer(psb_ipk_) :: np, me, i, err_act
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character :: trans_, init_
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real(psb_dpk_) :: res, resdenum
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real(psb_dpk_) :: cz, cr
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character(len=20) :: name='d_poly_smoother_apply_v'
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call psb_erractionsave(err_act)
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info = psb_success_
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ctxt = desc_data%get_context()
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call psb_info(ctxt,me,np)
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if (present(init)) then
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init_ = psb_toupper(init)
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else
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init_='Z'
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end if
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trans_ = psb_toupper(trans)
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select case(trans_)
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case('N')
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case('T','C')
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case default
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call psb_errpush(psb_err_iarg_invalid_i_,name)
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goto 9999
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end select
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if (.not.allocated(sm%sv)) then
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info = 1121
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call psb_errpush(info,name)
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goto 9999
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end if
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n_row = desc_data%get_local_rows()
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n_col = desc_data%get_local_cols()
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if (4*n_col <= size(work)) then
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aux => work(:)
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else
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allocate(aux(4*n_col),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,&
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& i_err=(/4*n_col,izero,izero,izero,izero/),&
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& a_err='real(psb_dpk_)')
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goto 9999
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end if
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endif
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!!$ if (me == 0) write(0,*) name,' Unimplemented apply_vect '
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!!$ info =psb_err_internal_error_
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!!$ call psb_errpush(info,&
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!!$ & name,a_err='Error in sub_aply Polynomial not implemented')
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!!$ goto 9999
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if (size(wv) < 4) then
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info = psb_err_internal_error_
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call psb_errpush(info,name,&
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& a_err='invalid wv size in smoother_apply')
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goto 9999
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end if
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associate(tx => wv(1), ty => wv(2), tz => wv(3), r => wv(4))
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call psb_geaxpby(done,x,dzero,r,desc_data,info)
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call tx%zero()
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call ty%zero()
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call tz%zero()
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select case(sm%variant)
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case(amg_poly_lottes_)
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! b == x
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! x == tx
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!
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do i=1, sm%pdegree
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! B r_{k-1}
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call sm%sv%apply(done,r,dzero,ty,desc_data,trans_,aux,wv(5:),info,init='Z')
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cz = (2*i*done-3)/(2*i*done+done)
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cr = (8*i*done-4)/((2*i*done+done)*sm%rho_ba)
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! z_k = cz z_{k-1} + cr ty = cz z_{k-1} + cr Br_{k-1}
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call psb_geaxpby(cr,ty,cz,tz,desc_data,info)
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! r_k = b-Ax_k = x -A tx
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call psb_geaxpby(done,tz,done,tx,desc_data,info)
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if (.false.) then
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call psb_geaxpby(done,x,dzero,r,desc_data,info)
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call psb_spmm(-done,sm%pa,tx,done,r,desc_data,info,work=aux,trans=trans_)
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else
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call psb_spmm(-done,sm%pa,tz,done,r,desc_data,info,work=aux,trans=trans_)
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end if
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!!$ res = psb_genrm2(r,desc_data,info)
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!!$ write(0,*) 'Polynomial smoother ',i,res
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! x_k = x_{k-1} + z_k
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end do
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case(amg_poly_lottes_beta_)
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! b == x
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! x == tx
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!
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do i=1, sm%pdegree
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! B r_{k-1}
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call sm%sv%apply(done,r,dzero,ty,desc_data,trans_,aux,wv(5:),info,init='Z')
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cz = (2*i*done-3)/(2*i*done+done)
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cr = (8*i*done-4)/((2*i*done+done)*sm%rho_ba)
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! z_k = cz z_{k-1} + cr ty = cz z_{k-1} + cr Br_{k-1}
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call psb_geaxpby(cr,ty,cz,tz,desc_data,info)
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! r_k = b-Ax_k = x -A tx
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call psb_geaxpby(sm%poly_beta(i),tz,done,tx,desc_data,info)
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if (.false.) then
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call psb_geaxpby(done,x,dzero,r,desc_data,info)
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call psb_spmm(-done,sm%pa,tx,done,r,desc_data,info,work=aux,trans=trans_)
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else
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call psb_spmm(-done,sm%pa,tz,done,r,desc_data,info,work=aux,trans=trans_)
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end if
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!!$ res = psb_genrm2(r,desc_data,info)
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!!$ write(0,*) 'Polynomial smoother ',i,res
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! x_k = x_{k-1} + z_k
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end do
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case default
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info=psb_err_internal_error_
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call psb_errpush(info,name,&
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& a_err='wrong polynomial variant')
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goto 9999
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end select
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if (info == psb_success_) call psb_geaxpby(alpha,tx,beta,y,desc_data,info)
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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,&
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& a_err='polynomial smoother')
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goto 9999
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end if
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end associate
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!!$ if ((.not.sm%sv%is_iterative()).and.((sweeps == 1).or.(sm%nd_nnz_tot==0))) then
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!!$ ! if .not.sv%is_iterative, there's no need to pass init
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!!$ call sm%sv%apply(alpha,x,beta,y,desc_data,trans_,aux,wv,info)
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!!$
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!!$ if (info /= psb_success_) then
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!!$ call psb_errpush(psb_err_internal_error_,&
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!!$ & name,a_err='Error in sub_aply Jacobi Sweeps = 1')
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!!$ goto 9999
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!!$ endif
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!!$
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!!$ else if (sweeps >= 0) then
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!!$ select type (smsv => sm%sv)
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!!$ class is (amg_d_diag_solver_type)
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!!$ !
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!!$ ! This means we are dealing with a pure Jacobi smoother/solver.
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!!$ !
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!!$ associate(tx => wv(1), ty => wv(2))
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!!$ select case (init_)
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!!$ case('Z')
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!!$
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!!$ call sm%sv%apply(done,x,dzero,ty,desc_data,trans_,aux,wv(3:),info,init='Z')
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!!$
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!!$ case('Y')
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!!$ call psb_geaxpby(done,x,dzero,tx,desc_data,info)
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!!$ call psb_geaxpby(done,y,dzero,ty,desc_data,info)
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!!$ call psb_spmm(-done,sm%pa,ty,done,tx,desc_data,info,work=aux,trans=trans_)
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!!$ call sm%sv%apply(done,tx,dzero,ty,desc_data,trans_,aux,wv(3:),info,init='Y')
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!!$
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!!$ case('U')
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!!$ if (.not.present(initu)) then
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!!$ call psb_errpush(psb_err_internal_error_,name,&
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!!$ & a_err='missing initu to smoother_apply')
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!!$ goto 9999
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!!$ end if
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!!$ call psb_geaxpby(done,x,dzero,tx,desc_data,info)
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!!$ call psb_geaxpby(done,initu,dzero,ty,desc_data,info)
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!!$ call psb_spmm(-done,sm%pa,ty,done,tx,desc_data,info,work=aux,trans=trans_)
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!!$ call sm%sv%apply(done,tx,dzero,ty,desc_data,trans_,aux,wv(3:),info,init='Y')
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!!$
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!!$ case default
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!!$ call psb_errpush(psb_err_internal_error_,name,&
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!!$ & a_err='wrong init to smoother_apply')
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!!$ goto 9999
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!!$ end select
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!!$
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!!$ do i=1, sweeps-1
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!!$ !
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!!$ ! Compute Y(j+1) = Y(j)+ D^(-1)*(X-A*Y(j)),
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!!$ ! where is the diagonal and A the matrix.
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!!$ !
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!!$ call psb_geaxpby(done,x,dzero,tx,desc_data,info)
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!!$ call psb_spmm(-done,sm%pa,ty,done,tx,desc_data,info,work=aux,trans=trans_)
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!!$
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!!$ if (info /= psb_success_) exit
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!!$
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!!$ call sm%sv%apply(done,tx,done,ty,desc_data,trans_,aux,wv(3:),info,init='Y')
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!!$
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!!$ if (info /= psb_success_) exit
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!!$
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!!$ if ( sm%checkres.and.(mod(i,sm%checkiter) == 0) ) then
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!!$ call psb_geaxpby(done,x,dzero,r,r,desc_data,info)
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!!$ call psb_spmm(-done,sm%pa,ty,done,r,desc_data,info)
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!!$ res = psb_genrm2(r,desc_data,info)
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!!$ if( sm%printres ) then
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!!$ call log_conv("BJAC",me,i,sm%printiter,res,resdenum,sm%tol)
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!!$ end if
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!!$ if ( res < sm%tol*resdenum ) then
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!!$ if( (sm%printres).and.(mod(sm%printiter,sm%checkiter)/=0) ) &
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!!$ & call log_conv("BJAC",me,i,1,res,resdenum,sm%tol)
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!!$ exit
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!!$ end if
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!!$ end if
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!!$
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!!$ end do
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!!$
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!!$
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!!$ if (info == psb_success_) call psb_geaxpby(alpha,ty,beta,y,desc_data,info)
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!!$
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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,&
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!!$ & a_err='subsolve with Jacobi sweeps > 1')
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!!$ goto 9999
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!!$ end if
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!!$
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!!$
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!!$ end associate
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!!$
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!!$ class default
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!!$ !
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!!$ !
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!!$ ! Apply multiple sweeps of a block-Jacobi solver
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!!$ ! to compute an approximate solution of a linear system.
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!!$ !
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!!$ !
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!!$ if (size(wv) < 2) then
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!!$ info = psb_err_internal_error_
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!!$ call psb_errpush(info,name,&
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!!$ & a_err='invalid wv size in smoother_apply')
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!!$ goto 9999
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!!$ end if
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!!$ associate(tx => wv(1), ty => wv(2))
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!!$
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!!$ !
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!!$ ! Unroll the first iteration and fold it inside SELECT CASE
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!!$ ! this will save one AXPBY and one SPMM when INIT=Z, and will be
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!!$ ! significant when sweeps=1 (a common case)
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!!$ !
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!!$ select case (init_)
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!!$ case('Z')
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!!$
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!!$ call sm%sv%apply(done,x,dzero,ty,desc_data,trans_,aux,wv(3:),info,init='Z')
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!!$
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!!$ case('Y')
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!!$ call psb_geaxpby(done,x,dzero,tx,desc_data,info)
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!!$ call psb_geaxpby(done,y,dzero,ty,desc_data,info)
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!!$ call psb_spmm(-done,sm%nd,ty,done,tx,desc_data,info,work=aux,trans=trans_)
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!!$ call sm%sv%apply(done,tx,dzero,ty,desc_data,trans_,aux,wv(3:),info,init='Y')
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!!$
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!!$ case('U')
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!!$ if (.not.present(initu)) then
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!!$ call psb_errpush(psb_err_internal_error_,name,&
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!!$ & a_err='missing initu to smoother_apply')
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!!$ goto 9999
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!!$ end if
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!!$ call psb_geaxpby(done,x,dzero,tx,desc_data,info)
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!!$ call psb_geaxpby(done,initu,dzero,ty,desc_data,info)
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!!$ call psb_spmm(-done,sm%nd,ty,done,tx,desc_data,info,work=aux,trans=trans_)
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!!$ call sm%sv%apply(done,tx,dzero,ty,desc_data,trans_,aux,wv(3:),info,init='Y')
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!!$
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!!$ case default
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!!$ call psb_errpush(psb_err_internal_error_,name,&
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!!$ & a_err='wrong init to smoother_apply')
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!!$ goto 9999
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!!$ end select
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!!$
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!!$ do i=1, sweeps-1
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!!$ !
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!!$ ! Compute Y(j+1) = D^(-1)*(X-ND*Y(j)), where D and ND are the
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!!$ ! block diagonal part and the remaining part of the local matrix
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!!$ ! and Y(j) is the approximate solution at sweep j.
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!!$ !
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!!$ call psb_geaxpby(done,x,dzero,tx,desc_data,info)
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!!$ call psb_spmm(-done,sm%nd,ty,done,tx,desc_data,info,work=aux,trans=trans_)
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!!$
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!!$ if (info /= psb_success_) exit
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!!$
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!!$ call sm%sv%apply(done,tx,dzero,ty,desc_data,trans_,aux,wv(3:),info,init='Y')
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!!$
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!!$ if (info /= psb_success_) exit
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!!$
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!!$ if ( sm%checkres.and.(mod(i,sm%checkiter) == 0) ) then
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!!$ call psb_geaxpby(done,x,dzero,r,r,desc_data,info)
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!!$ call psb_spmm(-done,sm%pa,ty,done,r,desc_data,info)
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!!$ res = psb_genrm2(r,desc_data,info)
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!!$ if( sm%printres ) then
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!!$ call log_conv("BJAC",me,i,sm%printiter,res,resdenum,sm%tol)
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!!$ end if
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!!$ if (res < sm%tol*resdenum ) then
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!!$ if( (sm%printres).and.( mod(sm%printiter,sm%checkiter) /=0 ) ) &
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!!$ & call log_conv("BJAC",me,i,1,res,resdenum,sm%tol)
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!!$ exit
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!!$ end if
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!!$ end if
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!!$
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!!$ end do
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!!$
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!!$ if (info == psb_success_) call psb_geaxpby(alpha,ty,beta,y,desc_data,info)
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!!$
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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,&
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!!$ & a_err='subsolve with Jacobi sweeps > 1')
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!!$ goto 9999
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!!$ end if
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!!$
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!!$ end associate
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!!$ end select
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!!$
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!!$ else
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!!$
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!!$ info = psb_err_iarg_neg_
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!!$ call psb_errpush(info,name,&
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!!$ & i_err=(/itwo,sweeps,izero,izero,izero/))
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!!$ goto 9999
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!!$
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!!$ endif
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!!$
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if (.not.(4*n_col <= size(work))) then
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deallocate(aux)
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endif
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!!$ if(sm%checkres) then
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!!$ call psb_gefree(r,desc_data,info)
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!!$ end if
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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 amg_d_poly_smoother_apply_vect
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