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589 lines
21 KiB
Fortran
589 lines
21 KiB
Fortran
!
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!
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! MLD2P4 version 2.2
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! MultiLevel Domain Decomposition Parallel Preconditioners Package
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! based on PSBLAS (Parallel Sparse BLAS version 3.5)
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!
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! (C) Copyright 2008-2018
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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 MLD2P4 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 MLD2P4 GROUP OR ITS CONTRIBUTORS
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! BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
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! CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
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! SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
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! INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
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! CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
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! ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
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! POSSIBILITY OF SUCH DAMAGE.
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!
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!
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!
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!
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! File: mld_z_gs_solver_mod.f90
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!
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! Module: mld_z_gs_solver_mod
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!
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! This module defines:
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! - the mld_z_gs_solver_type data structure containing the ingredients
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! for a local Gauss-Seidel iteration. We provide Forward GS (FWGS) and
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! backward GS (BWGS). The iterations are local to a process (they operate
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! on the block diagonal). Combined with a Jacobi smoother will generate a
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! hybrid-Gauss-Seidel solver, i.e. Gauss-Seidel within each process, Jacobi
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! among the processes.
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! With two objects as pre- and post-smoothers it is possible to build a
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! Forward-Backward smoother, suitable for symmetric iterations.
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!
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module mld_z_gs_solver
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use mld_z_base_solver_mod
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type, extends(mld_z_base_solver_type) :: mld_z_gs_solver_type
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type(psb_zspmat_type) :: l, u
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integer(psb_ipk_) :: sweeps
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real(psb_dpk_) :: eps
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contains
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procedure, pass(sv) :: dump => mld_z_gs_solver_dmp
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procedure, pass(sv) :: check => z_gs_solver_check
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procedure, pass(sv) :: clone => mld_z_gs_solver_clone
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procedure, pass(sv) :: clone_settings => mld_z_gs_solver_clone_settings
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procedure, pass(sv) :: clear_data => mld_z_gs_solver_clear_data
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procedure, pass(sv) :: build => mld_z_gs_solver_bld
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procedure, pass(sv) :: cnv => mld_z_gs_solver_cnv
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procedure, pass(sv) :: apply_v => mld_z_gs_solver_apply_vect
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procedure, pass(sv) :: apply_a => mld_z_gs_solver_apply
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procedure, pass(sv) :: free => z_gs_solver_free
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procedure, pass(sv) :: cseti => z_gs_solver_cseti
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procedure, pass(sv) :: csetc => z_gs_solver_csetc
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procedure, pass(sv) :: csetr => z_gs_solver_csetr
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procedure, pass(sv) :: descr => z_gs_solver_descr
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procedure, pass(sv) :: default => z_gs_solver_default
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procedure, pass(sv) :: sizeof => z_gs_solver_sizeof
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procedure, pass(sv) :: get_nzeros => z_gs_solver_get_nzeros
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procedure, nopass :: get_wrksz => z_gs_solver_get_wrksize
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procedure, nopass :: get_fmt => z_gs_solver_get_fmt
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procedure, nopass :: get_id => z_gs_solver_get_id
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procedure, nopass :: is_iterative => z_gs_solver_is_iterative
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end type mld_z_gs_solver_type
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type, extends(mld_z_gs_solver_type) :: mld_z_bwgs_solver_type
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contains
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procedure, pass(sv) :: build => mld_z_bwgs_solver_bld
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procedure, pass(sv) :: apply_v => mld_z_bwgs_solver_apply_vect
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procedure, pass(sv) :: apply_a => mld_z_bwgs_solver_apply
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procedure, nopass :: get_fmt => z_bwgs_solver_get_fmt
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procedure, nopass :: get_id => z_bwgs_solver_get_id
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procedure, pass(sv) :: descr => z_bwgs_solver_descr
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end type mld_z_bwgs_solver_type
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private :: z_gs_solver_bld, z_gs_solver_apply, &
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& z_gs_solver_free, &
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& z_gs_solver_descr, z_gs_solver_sizeof, &
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& z_gs_solver_default, z_gs_solver_dmp, &
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& z_gs_solver_apply_vect, z_gs_solver_get_nzeros, &
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& z_gs_solver_get_fmt, z_gs_solver_check,&
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& z_gs_solver_is_iterative, &
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& z_bwgs_solver_get_fmt, z_bwgs_solver_descr, &
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& z_gs_solver_get_id, z_bwgs_solver_get_id, z_gs_solver_get_wrksize
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interface
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subroutine mld_z_gs_solver_apply_vect(alpha,sv,x,beta,y,desc_data,&
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& trans,work,wv,info,init,initu)
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import :: psb_desc_type, mld_z_gs_solver_type, psb_z_vect_type, psb_dpk_, &
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& psb_zspmat_type, psb_z_base_sparse_mat, psb_z_base_vect_type, psb_ipk_
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implicit none
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type(psb_desc_type), intent(in) :: desc_data
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class(mld_z_gs_solver_type), intent(inout) :: sv
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type(psb_z_vect_type),intent(inout) :: x
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type(psb_z_vect_type),intent(inout) :: y
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complex(psb_dpk_),intent(in) :: alpha,beta
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character(len=1),intent(in) :: trans
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complex(psb_dpk_),target, intent(inout) :: work(:)
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type(psb_z_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_z_vect_type),intent(inout), optional :: initu
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end subroutine mld_z_gs_solver_apply_vect
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subroutine mld_z_bwgs_solver_apply_vect(alpha,sv,x,beta,y,desc_data,&
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& trans,work,wv,info,init,initu)
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import :: psb_desc_type, mld_z_bwgs_solver_type, psb_z_vect_type, psb_dpk_, &
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& psb_zspmat_type, psb_z_base_sparse_mat, psb_z_base_vect_type, psb_ipk_
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implicit none
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type(psb_desc_type), intent(in) :: desc_data
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class(mld_z_bwgs_solver_type), intent(inout) :: sv
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type(psb_z_vect_type),intent(inout) :: x
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type(psb_z_vect_type),intent(inout) :: y
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complex(psb_dpk_),intent(in) :: alpha,beta
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character(len=1),intent(in) :: trans
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complex(psb_dpk_),target, intent(inout) :: work(:)
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type(psb_z_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_z_vect_type),intent(inout), optional :: initu
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end subroutine mld_z_bwgs_solver_apply_vect
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end interface
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interface
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subroutine mld_z_gs_solver_apply(alpha,sv,x,beta,y,desc_data,trans,work,info,init,initu)
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import :: psb_desc_type, mld_z_gs_solver_type, psb_z_vect_type, psb_dpk_, &
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& psb_zspmat_type, psb_z_base_sparse_mat, psb_z_base_vect_type, psb_ipk_
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implicit none
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type(psb_desc_type), intent(in) :: desc_data
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class(mld_z_gs_solver_type), intent(inout) :: sv
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complex(psb_dpk_),intent(inout) :: x(:)
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complex(psb_dpk_),intent(inout) :: y(:)
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complex(psb_dpk_),intent(in) :: alpha,beta
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character(len=1),intent(in) :: trans
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complex(psb_dpk_),target, intent(inout) :: work(:)
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integer(psb_ipk_), intent(out) :: info
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character, intent(in), optional :: init
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complex(psb_dpk_),intent(inout), optional :: initu(:)
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end subroutine mld_z_gs_solver_apply
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subroutine mld_z_bwgs_solver_apply(alpha,sv,x,beta,y,desc_data,&
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& trans,work,info,init,initu)
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import :: psb_desc_type, mld_z_bwgs_solver_type, psb_z_vect_type, psb_dpk_, &
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& psb_zspmat_type, psb_z_base_sparse_mat, psb_z_base_vect_type, psb_ipk_
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implicit none
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type(psb_desc_type), intent(in) :: desc_data
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class(mld_z_bwgs_solver_type), intent(inout) :: sv
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complex(psb_dpk_),intent(inout) :: x(:)
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complex(psb_dpk_),intent(inout) :: y(:)
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complex(psb_dpk_),intent(in) :: alpha,beta
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character(len=1),intent(in) :: trans
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complex(psb_dpk_),target, intent(inout) :: work(:)
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integer(psb_ipk_), intent(out) :: info
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character, intent(in), optional :: init
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complex(psb_dpk_),intent(inout), optional :: initu(:)
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end subroutine mld_z_bwgs_solver_apply
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end interface
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interface
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subroutine mld_z_gs_solver_bld(a,desc_a,sv,info,b,amold,vmold,imold)
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import :: psb_desc_type, mld_z_gs_solver_type, psb_z_vect_type, psb_dpk_, &
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& psb_zspmat_type, psb_z_base_sparse_mat, psb_z_base_vect_type,&
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& psb_ipk_, psb_i_base_vect_type
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implicit none
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type(psb_zspmat_type), intent(in), target :: a
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Type(psb_desc_type), Intent(inout) :: desc_a
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class(mld_z_gs_solver_type), intent(inout) :: sv
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integer(psb_ipk_), intent(out) :: info
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type(psb_zspmat_type), intent(in), target, optional :: b
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class(psb_z_base_sparse_mat), intent(in), optional :: amold
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class(psb_z_base_vect_type), intent(in), optional :: vmold
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class(psb_i_base_vect_type), intent(in), optional :: imold
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end subroutine mld_z_gs_solver_bld
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subroutine mld_z_bwgs_solver_bld(a,desc_a,sv,info,b,amold,vmold,imold)
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import :: psb_desc_type, mld_z_bwgs_solver_type, psb_z_vect_type, psb_dpk_, &
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& psb_zspmat_type, psb_z_base_sparse_mat, psb_z_base_vect_type,&
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& psb_ipk_, psb_i_base_vect_type
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implicit none
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type(psb_zspmat_type), intent(in), target :: a
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Type(psb_desc_type), Intent(inout) :: desc_a
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class(mld_z_bwgs_solver_type), intent(inout) :: sv
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integer(psb_ipk_), intent(out) :: info
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type(psb_zspmat_type), intent(in), target, optional :: b
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class(psb_z_base_sparse_mat), intent(in), optional :: amold
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class(psb_z_base_vect_type), intent(in), optional :: vmold
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class(psb_i_base_vect_type), intent(in), optional :: imold
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end subroutine mld_z_bwgs_solver_bld
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end interface
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interface
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subroutine mld_z_gs_solver_cnv(sv,info,amold,vmold,imold)
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import :: mld_z_gs_solver_type, psb_dpk_, &
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& psb_z_base_sparse_mat, psb_z_base_vect_type,&
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& psb_ipk_, psb_i_base_vect_type
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implicit none
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class(mld_z_gs_solver_type), intent(inout) :: sv
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integer(psb_ipk_), intent(out) :: info
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class(psb_z_base_sparse_mat), intent(in), optional :: amold
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class(psb_z_base_vect_type), intent(in), optional :: vmold
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class(psb_i_base_vect_type), intent(in), optional :: imold
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end subroutine mld_z_gs_solver_cnv
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end interface
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interface
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subroutine mld_z_gs_solver_dmp(sv,ictxt,level,info,prefix,head,solver)
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import :: psb_desc_type, mld_z_gs_solver_type, psb_z_vect_type, psb_dpk_, &
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& psb_zspmat_type, psb_z_base_sparse_mat, psb_z_base_vect_type, &
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& psb_ipk_
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implicit none
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class(mld_z_gs_solver_type), intent(in) :: sv
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integer(psb_ipk_), intent(in) :: ictxt
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integer(psb_ipk_), intent(in) :: level
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integer(psb_ipk_), intent(out) :: info
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character(len=*), intent(in), optional :: prefix, head
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logical, optional, intent(in) :: solver
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end subroutine mld_z_gs_solver_dmp
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end interface
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interface
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subroutine mld_z_gs_solver_clone(sv,svout,info)
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import :: psb_desc_type, psb_zspmat_type, psb_z_base_sparse_mat, &
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& psb_z_vect_type, psb_z_base_vect_type, psb_dpk_, &
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& mld_z_base_solver_type, mld_z_gs_solver_type, psb_ipk_
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Implicit None
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! Arguments
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class(mld_z_gs_solver_type), intent(inout) :: sv
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class(mld_z_base_solver_type), allocatable, intent(inout) :: svout
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integer(psb_ipk_), intent(out) :: info
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end subroutine mld_z_gs_solver_clone
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end interface
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interface
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subroutine mld_z_gs_solver_clone_settings(sv,svout,info)
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import :: psb_desc_type, psb_zspmat_type, psb_z_base_sparse_mat, &
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& psb_z_vect_type, psb_z_base_vect_type, psb_dpk_, &
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& mld_z_base_solver_type, mld_z_gs_solver_type, psb_ipk_
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Implicit None
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! Arguments
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class(mld_z_gs_solver_type), intent(inout) :: sv
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class(mld_z_base_solver_type), intent(inout) :: svout
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integer(psb_ipk_), intent(out) :: info
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end subroutine mld_z_gs_solver_clone_settings
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end interface
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interface
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subroutine mld_z_gs_solver_clear_data(sv,info)
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import :: psb_desc_type, psb_zspmat_type, psb_z_base_sparse_mat, &
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& psb_z_vect_type, psb_z_base_vect_type, psb_dpk_, &
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& mld_z_gs_solver_type, psb_ipk_
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Implicit None
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! Arguments
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class(mld_z_gs_solver_type), intent(inout) :: sv
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integer(psb_ipk_), intent(out) :: info
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end subroutine mld_z_gs_solver_clear_data
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end interface
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contains
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subroutine z_gs_solver_default(sv)
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Implicit None
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! Arguments
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class(mld_z_gs_solver_type), intent(inout) :: sv
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sv%sweeps = ione
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sv%eps = dzero
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return
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end subroutine z_gs_solver_default
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subroutine z_gs_solver_check(sv,info)
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Implicit None
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! Arguments
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class(mld_z_gs_solver_type), intent(inout) :: sv
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integer(psb_ipk_), intent(out) :: info
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integer(psb_ipk_) :: err_act
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character(len=20) :: name='z_gs_solver_check'
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call psb_erractionsave(err_act)
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info = psb_success_
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call mld_check_def(sv%sweeps,&
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& 'GS Sweeps',ione,is_int_positive)
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if (info /= psb_success_) goto 9999
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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 z_gs_solver_check
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subroutine z_gs_solver_cseti(sv,what,val,info,idx)
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Implicit None
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! Arguments
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class(mld_z_gs_solver_type), intent(inout) :: sv
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character(len=*), intent(in) :: what
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integer(psb_ipk_), intent(in) :: val
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integer(psb_ipk_), intent(out) :: info
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integer(psb_ipk_), intent(in), optional :: idx
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integer(psb_ipk_) :: err_act
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character(len=20) :: name='z_gs_solver_cseti'
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info = psb_success_
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call psb_erractionsave(err_act)
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select case(psb_toupper(what))
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case('SOLVER_SWEEPS')
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sv%sweeps = val
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case default
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call sv%mld_z_base_solver_type%set(what,val,info,idx=idx)
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end select
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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 z_gs_solver_cseti
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subroutine z_gs_solver_csetc(sv,what,val,info,idx)
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Implicit None
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! Arguments
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class(mld_z_gs_solver_type), intent(inout) :: sv
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character(len=*), intent(in) :: what
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character(len=*), intent(in) :: val
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integer(psb_ipk_), intent(out) :: info
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integer(psb_ipk_), intent(in), optional :: idx
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integer(psb_ipk_) :: err_act, ival
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character(len=20) :: name='z_gs_solver_csetc'
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info = psb_success_
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call psb_erractionsave(err_act)
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call sv%mld_z_base_solver_type%set(what,val,info,idx=idx)
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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)
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goto 9999
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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 z_gs_solver_csetc
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subroutine z_gs_solver_csetr(sv,what,val,info,idx)
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Implicit None
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! Arguments
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class(mld_z_gs_solver_type), intent(inout) :: sv
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character(len=*), intent(in) :: what
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real(psb_dpk_), intent(in) :: val
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integer(psb_ipk_), intent(out) :: info
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integer(psb_ipk_), intent(in), optional :: idx
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integer(psb_ipk_) :: err_act
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character(len=20) :: name='z_gs_solver_csetr'
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call psb_erractionsave(err_act)
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info = psb_success_
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select case(psb_toupper(what))
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case('SOLVER_EPS')
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sv%eps = val
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case default
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call sv%mld_z_base_solver_type%set(what,val,info,idx=idx)
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end select
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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 z_gs_solver_csetr
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subroutine z_gs_solver_free(sv,info)
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Implicit None
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! Arguments
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class(mld_z_gs_solver_type), intent(inout) :: sv
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integer(psb_ipk_), intent(out) :: info
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integer(psb_ipk_) :: err_act
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character(len=20) :: name='z_gs_solver_free'
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call psb_erractionsave(err_act)
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info = psb_success_
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call sv%l%free()
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call sv%u%free()
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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 z_gs_solver_free
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subroutine z_gs_solver_descr(sv,info,iout,coarse)
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Implicit None
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! Arguments
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class(mld_z_gs_solver_type), intent(in) :: sv
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integer(psb_ipk_), intent(out) :: info
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integer(psb_ipk_), intent(in), optional :: iout
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logical, intent(in), optional :: coarse
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! Local variables
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integer(psb_ipk_) :: err_act
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character(len=20), parameter :: name='mld_z_gs_solver_descr'
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integer(psb_ipk_) :: iout_
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call psb_erractionsave(err_act)
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info = psb_success_
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if (present(iout)) then
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iout_ = iout
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else
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iout_ = psb_out_unit
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endif
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if (sv%eps<=dzero) then
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write(iout_,*) ' Forward Gauss-Seidel iterative solver with ',&
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& sv%sweeps,' sweeps'
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else
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write(iout_,*) ' Forward Gauss-Seidel iterative solver with tolerance',&
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& sv%eps,' and maxit', sv%sweeps
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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 z_gs_solver_descr
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function z_gs_solver_get_nzeros(sv) result(val)
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implicit none
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! Arguments
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class(mld_z_gs_solver_type), intent(in) :: sv
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integer(psb_epk_) :: val
|
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integer(psb_ipk_) :: i
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|
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val = 0
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val = val + sv%l%get_nzeros()
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val = val + sv%u%get_nzeros()
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return
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end function z_gs_solver_get_nzeros
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function z_gs_solver_sizeof(sv) result(val)
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|
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implicit none
|
|
! Arguments
|
|
class(mld_z_gs_solver_type), intent(in) :: sv
|
|
integer(psb_epk_) :: val
|
|
integer(psb_ipk_) :: i
|
|
|
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val = psb_sizeof_ip
|
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val = val + sv%l%sizeof()
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val = val + sv%u%sizeof()
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return
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end function z_gs_solver_sizeof
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function z_gs_solver_get_fmt() result(val)
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implicit none
|
|
character(len=32) :: val
|
|
|
|
val = "Forward Gauss-Seidel solver"
|
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end function z_gs_solver_get_fmt
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function z_gs_solver_get_id() result(val)
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implicit none
|
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integer(psb_ipk_) :: val
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|
|
|
val = mld_gs_
|
|
end function z_gs_solver_get_id
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|
|
!
|
|
! If this is true, then the solver needs a starting
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|
! guess. Currently only handled in JAC smoother.
|
|
!
|
|
function z_gs_solver_is_iterative() result(val)
|
|
implicit none
|
|
logical :: val
|
|
|
|
val = .true.
|
|
end function z_gs_solver_is_iterative
|
|
|
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subroutine z_bwgs_solver_descr(sv,info,iout,coarse)
|
|
|
|
Implicit None
|
|
|
|
! Arguments
|
|
class(mld_z_bwgs_solver_type), intent(in) :: sv
|
|
integer(psb_ipk_), intent(out) :: info
|
|
integer(psb_ipk_), intent(in), optional :: iout
|
|
logical, intent(in), optional :: coarse
|
|
|
|
! Local variables
|
|
integer(psb_ipk_) :: err_act
|
|
character(len=20), parameter :: name='mld_z_bwgs_solver_descr'
|
|
integer(psb_ipk_) :: iout_
|
|
|
|
call psb_erractionsave(err_act)
|
|
info = psb_success_
|
|
if (present(iout)) then
|
|
iout_ = iout
|
|
else
|
|
iout_ = psb_out_unit
|
|
endif
|
|
|
|
if (sv%eps<=dzero) then
|
|
write(iout_,*) ' Backward Gauss-Seidel iterative solver with ',&
|
|
& sv%sweeps,' sweeps'
|
|
else
|
|
write(iout_,*) ' Backward Gauss-Seidel iterative solver with tolerance',&
|
|
& sv%eps,' and maxit', sv%sweeps
|
|
end if
|
|
|
|
call psb_erractionrestore(err_act)
|
|
return
|
|
|
|
9999 call psb_error_handler(err_act)
|
|
return
|
|
end subroutine z_bwgs_solver_descr
|
|
|
|
function z_bwgs_solver_get_fmt() result(val)
|
|
implicit none
|
|
character(len=32) :: val
|
|
|
|
val = "Backward Gauss-Seidel solver"
|
|
end function z_bwgs_solver_get_fmt
|
|
|
|
function z_bwgs_solver_get_id() result(val)
|
|
implicit none
|
|
integer(psb_ipk_) :: val
|
|
|
|
val = mld_bwgs_
|
|
end function z_bwgs_solver_get_id
|
|
|
|
function z_gs_solver_get_wrksize() result(val)
|
|
implicit none
|
|
integer(psb_ipk_) :: val
|
|
|
|
val = 2
|
|
end function z_gs_solver_get_wrksize
|
|
|
|
end module mld_z_gs_solver
|