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amg4psblas/amgprec/amg_z_gs_solver.f90

603 lines
21 KiB
Fortran

!
!
! AMG4PSBLAS version 1.0
! Algebraic Multigrid Package
! based on PSBLAS (Parallel Sparse BLAS version 3.7)
!
! (C) Copyright 2021
!
! Salvatore Filippone
! Pasqua D'Ambra
! Fabio Durastante
!
! 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 AMG4PSBLAS 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 AMG4PSBLAS 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: amg_z_gs_solver_mod.f90
!
! Module: amg_z_gs_solver_mod
!
! This module defines:
! - the amg_z_gs_solver_type data structure containing the ingredients
! for a local Gauss-Seidel iteration. We provide Forward GS (FWGS) and
! backward GS (BWGS). The iterations are local to a process (they operate
! on the block diagonal). Combined with a Jacobi smoother will generate a
! hybrid-Gauss-Seidel solver, i.e. Gauss-Seidel within each process, Jacobi
! among the processes.
! With two objects as pre- and post-smoothers it is possible to build a
! Forward-Backward smoother, suitable for symmetric iterations.
!
module amg_z_gs_solver
use amg_z_base_solver_mod
type, extends(amg_z_base_solver_type) :: amg_z_gs_solver_type
type(psb_zspmat_type) :: l, u
integer(psb_ipk_) :: sweeps
real(psb_dpk_) :: eps
contains
procedure, pass(sv) :: dump => amg_z_gs_solver_dmp
procedure, pass(sv) :: check => z_gs_solver_check
procedure, pass(sv) :: clone => amg_z_gs_solver_clone
procedure, pass(sv) :: clone_settings => amg_z_gs_solver_clone_settings
procedure, pass(sv) :: clear_data => amg_z_gs_solver_clear_data
procedure, pass(sv) :: build => amg_z_gs_solver_bld
procedure, pass(sv) :: cnv => amg_z_gs_solver_cnv
procedure, pass(sv) :: apply_v => amg_z_gs_solver_apply_vect
procedure, pass(sv) :: apply_a => amg_z_gs_solver_apply
procedure, pass(sv) :: free => z_gs_solver_free
procedure, pass(sv) :: cseti => z_gs_solver_cseti
procedure, pass(sv) :: csetc => z_gs_solver_csetc
procedure, pass(sv) :: csetr => z_gs_solver_csetr
procedure, pass(sv) :: descr => z_gs_solver_descr
procedure, pass(sv) :: default => z_gs_solver_default
procedure, pass(sv) :: sizeof => z_gs_solver_sizeof
procedure, pass(sv) :: get_nzeros => z_gs_solver_get_nzeros
procedure, nopass :: get_wrksz => z_gs_solver_get_wrksize
procedure, nopass :: get_fmt => z_gs_solver_get_fmt
procedure, nopass :: get_id => z_gs_solver_get_id
procedure, nopass :: is_iterative => z_gs_solver_is_iterative
end type amg_z_gs_solver_type
type, extends(amg_z_gs_solver_type) :: amg_z_bwgs_solver_type
contains
procedure, pass(sv) :: build => amg_z_bwgs_solver_bld
procedure, pass(sv) :: apply_v => amg_z_bwgs_solver_apply_vect
procedure, pass(sv) :: apply_a => amg_z_bwgs_solver_apply
procedure, nopass :: get_fmt => z_bwgs_solver_get_fmt
procedure, nopass :: get_id => z_bwgs_solver_get_id
procedure, pass(sv) :: descr => z_bwgs_solver_descr
end type amg_z_bwgs_solver_type
private :: z_gs_solver_bld, z_gs_solver_apply, &
& z_gs_solver_free, &
& z_gs_solver_descr, z_gs_solver_sizeof, &
& z_gs_solver_default, z_gs_solver_dmp, &
& z_gs_solver_apply_vect, z_gs_solver_get_nzeros, &
& z_gs_solver_get_fmt, z_gs_solver_check,&
& z_gs_solver_is_iterative, &
& z_bwgs_solver_get_fmt, z_bwgs_solver_descr, &
& z_gs_solver_get_id, z_bwgs_solver_get_id, z_gs_solver_get_wrksize
interface
subroutine amg_z_gs_solver_apply_vect(alpha,sv,x,beta,y,desc_data,&
& trans,work,wv,info,init,initu)
import :: psb_desc_type, amg_z_gs_solver_type, psb_z_vect_type, psb_dpk_, &
& psb_zspmat_type, psb_z_base_sparse_mat, psb_z_base_vect_type, psb_ipk_
implicit none
type(psb_desc_type), intent(in) :: desc_data
class(amg_z_gs_solver_type), intent(inout) :: sv
type(psb_z_vect_type),intent(inout) :: x
type(psb_z_vect_type),intent(inout) :: y
complex(psb_dpk_),intent(in) :: alpha,beta
character(len=1),intent(in) :: trans
complex(psb_dpk_),target, intent(inout) :: work(:)
type(psb_z_vect_type),intent(inout) :: wv(:)
integer(psb_ipk_), intent(out) :: info
character, intent(in), optional :: init
type(psb_z_vect_type),intent(inout), optional :: initu
end subroutine amg_z_gs_solver_apply_vect
subroutine amg_z_bwgs_solver_apply_vect(alpha,sv,x,beta,y,desc_data,&
& trans,work,wv,info,init,initu)
import :: psb_desc_type, amg_z_bwgs_solver_type, psb_z_vect_type, psb_dpk_, &
& psb_zspmat_type, psb_z_base_sparse_mat, psb_z_base_vect_type, psb_ipk_
implicit none
type(psb_desc_type), intent(in) :: desc_data
class(amg_z_bwgs_solver_type), intent(inout) :: sv
type(psb_z_vect_type),intent(inout) :: x
type(psb_z_vect_type),intent(inout) :: y
complex(psb_dpk_),intent(in) :: alpha,beta
character(len=1),intent(in) :: trans
complex(psb_dpk_),target, intent(inout) :: work(:)
type(psb_z_vect_type),intent(inout) :: wv(:)
integer(psb_ipk_), intent(out) :: info
character, intent(in), optional :: init
type(psb_z_vect_type),intent(inout), optional :: initu
end subroutine amg_z_bwgs_solver_apply_vect
end interface
interface
subroutine amg_z_gs_solver_apply(alpha,sv,x,beta,y,desc_data,trans,work,info,init,initu)
import :: psb_desc_type, amg_z_gs_solver_type, psb_z_vect_type, psb_dpk_, &
& psb_zspmat_type, psb_z_base_sparse_mat, psb_z_base_vect_type, psb_ipk_
implicit none
type(psb_desc_type), intent(in) :: desc_data
class(amg_z_gs_solver_type), intent(inout) :: sv
complex(psb_dpk_),intent(inout) :: x(:)
complex(psb_dpk_),intent(inout) :: y(:)
complex(psb_dpk_),intent(in) :: alpha,beta
character(len=1),intent(in) :: trans
complex(psb_dpk_),target, intent(inout) :: work(:)
integer(psb_ipk_), intent(out) :: info
character, intent(in), optional :: init
complex(psb_dpk_),intent(inout), optional :: initu(:)
end subroutine amg_z_gs_solver_apply
subroutine amg_z_bwgs_solver_apply(alpha,sv,x,beta,y,desc_data,&
& trans,work,info,init,initu)
import :: psb_desc_type, amg_z_bwgs_solver_type, psb_z_vect_type, psb_dpk_, &
& psb_zspmat_type, psb_z_base_sparse_mat, psb_z_base_vect_type, psb_ipk_
implicit none
type(psb_desc_type), intent(in) :: desc_data
class(amg_z_bwgs_solver_type), intent(inout) :: sv
complex(psb_dpk_),intent(inout) :: x(:)
complex(psb_dpk_),intent(inout) :: y(:)
complex(psb_dpk_),intent(in) :: alpha,beta
character(len=1),intent(in) :: trans
complex(psb_dpk_),target, intent(inout) :: work(:)
integer(psb_ipk_), intent(out) :: info
character, intent(in), optional :: init
complex(psb_dpk_),intent(inout), optional :: initu(:)
end subroutine amg_z_bwgs_solver_apply
end interface
interface
subroutine amg_z_gs_solver_bld(a,desc_a,sv,info,b,amold,vmold,imold)
import :: psb_desc_type, amg_z_gs_solver_type, psb_z_vect_type, psb_dpk_, &
& psb_zspmat_type, psb_z_base_sparse_mat, psb_z_base_vect_type,&
& psb_ipk_, psb_i_base_vect_type
implicit none
type(psb_zspmat_type), intent(in), target :: a
Type(psb_desc_type), Intent(inout) :: desc_a
class(amg_z_gs_solver_type), intent(inout) :: sv
integer(psb_ipk_), intent(out) :: info
type(psb_zspmat_type), intent(in), target, optional :: b
class(psb_z_base_sparse_mat), intent(in), optional :: amold
class(psb_z_base_vect_type), intent(in), optional :: vmold
class(psb_i_base_vect_type), intent(in), optional :: imold
end subroutine amg_z_gs_solver_bld
subroutine amg_z_bwgs_solver_bld(a,desc_a,sv,info,b,amold,vmold,imold)
import :: psb_desc_type, amg_z_bwgs_solver_type, psb_z_vect_type, psb_dpk_, &
& psb_zspmat_type, psb_z_base_sparse_mat, psb_z_base_vect_type,&
& psb_ipk_, psb_i_base_vect_type
implicit none
type(psb_zspmat_type), intent(in), target :: a
Type(psb_desc_type), Intent(inout) :: desc_a
class(amg_z_bwgs_solver_type), intent(inout) :: sv
integer(psb_ipk_), intent(out) :: info
type(psb_zspmat_type), intent(in), target, optional :: b
class(psb_z_base_sparse_mat), intent(in), optional :: amold
class(psb_z_base_vect_type), intent(in), optional :: vmold
class(psb_i_base_vect_type), intent(in), optional :: imold
end subroutine amg_z_bwgs_solver_bld
end interface
interface
subroutine amg_z_gs_solver_cnv(sv,info,amold,vmold,imold)
import :: amg_z_gs_solver_type, psb_dpk_, &
& psb_z_base_sparse_mat, psb_z_base_vect_type,&
& psb_ipk_, psb_i_base_vect_type
implicit none
class(amg_z_gs_solver_type), intent(inout) :: sv
integer(psb_ipk_), intent(out) :: info
class(psb_z_base_sparse_mat), intent(in), optional :: amold
class(psb_z_base_vect_type), intent(in), optional :: vmold
class(psb_i_base_vect_type), intent(in), optional :: imold
end subroutine amg_z_gs_solver_cnv
end interface
interface
subroutine amg_z_gs_solver_dmp(sv,desc,level,info,prefix,head,solver,global_num)
import :: psb_desc_type, amg_z_gs_solver_type, psb_z_vect_type, psb_dpk_, &
& psb_zspmat_type, psb_z_base_sparse_mat, psb_z_base_vect_type, &
& psb_ipk_
implicit none
class(amg_z_gs_solver_type), intent(in) :: sv
type(psb_desc_type), intent(in) :: desc
integer(psb_ipk_), intent(in) :: level
integer(psb_ipk_), intent(out) :: info
character(len=*), intent(in), optional :: prefix, head
logical, optional, intent(in) :: solver, global_num
end subroutine amg_z_gs_solver_dmp
end interface
interface
subroutine amg_z_gs_solver_clone(sv,svout,info)
import :: psb_desc_type, psb_zspmat_type, psb_z_base_sparse_mat, &
& psb_z_vect_type, psb_z_base_vect_type, psb_dpk_, &
& amg_z_base_solver_type, amg_z_gs_solver_type, psb_ipk_
Implicit None
! Arguments
class(amg_z_gs_solver_type), intent(inout) :: sv
class(amg_z_base_solver_type), allocatable, intent(inout) :: svout
integer(psb_ipk_), intent(out) :: info
end subroutine amg_z_gs_solver_clone
end interface
interface
subroutine amg_z_gs_solver_clone_settings(sv,svout,info)
import :: psb_desc_type, psb_zspmat_type, psb_z_base_sparse_mat, &
& psb_z_vect_type, psb_z_base_vect_type, psb_dpk_, &
& amg_z_base_solver_type, amg_z_gs_solver_type, psb_ipk_
Implicit None
! Arguments
class(amg_z_gs_solver_type), intent(inout) :: sv
class(amg_z_base_solver_type), intent(inout) :: svout
integer(psb_ipk_), intent(out) :: info
end subroutine amg_z_gs_solver_clone_settings
end interface
interface
subroutine amg_z_gs_solver_clear_data(sv,info)
import :: psb_desc_type, psb_zspmat_type, psb_z_base_sparse_mat, &
& psb_z_vect_type, psb_z_base_vect_type, psb_dpk_, &
& amg_z_gs_solver_type, psb_ipk_
Implicit None
! Arguments
class(amg_z_gs_solver_type), intent(inout) :: sv
integer(psb_ipk_), intent(out) :: info
end subroutine amg_z_gs_solver_clear_data
end interface
contains
subroutine z_gs_solver_default(sv)
Implicit None
! Arguments
class(amg_z_gs_solver_type), intent(inout) :: sv
sv%sweeps = ione
sv%eps = dzero
return
end subroutine z_gs_solver_default
subroutine z_gs_solver_check(sv,info)
Implicit None
! Arguments
class(amg_z_gs_solver_type), intent(inout) :: sv
integer(psb_ipk_), intent(out) :: info
integer(psb_ipk_) :: err_act
character(len=20) :: name='z_gs_solver_check'
call psb_erractionsave(err_act)
info = psb_success_
call amg_check_def(sv%sweeps,&
& 'GS Sweeps',ione,is_int_positive)
if (info /= psb_success_) goto 9999
call psb_erractionrestore(err_act)
return
9999 call psb_error_handler(err_act)
return
end subroutine z_gs_solver_check
subroutine z_gs_solver_cseti(sv,what,val,info,idx)
Implicit None
! Arguments
class(amg_z_gs_solver_type), intent(inout) :: sv
character(len=*), intent(in) :: what
integer(psb_ipk_), intent(in) :: val
integer(psb_ipk_), intent(out) :: info
integer(psb_ipk_), intent(in), optional :: idx
integer(psb_ipk_) :: err_act
character(len=20) :: name='z_gs_solver_cseti'
info = psb_success_
call psb_erractionsave(err_act)
select case(psb_toupper(what))
case('SOLVER_SWEEPS')
sv%sweeps = val
case default
call sv%amg_z_base_solver_type%set(what,val,info,idx=idx)
end select
call psb_erractionrestore(err_act)
return
9999 call psb_error_handler(err_act)
return
end subroutine z_gs_solver_cseti
subroutine z_gs_solver_csetc(sv,what,val,info,idx)
Implicit None
! Arguments
class(amg_z_gs_solver_type), intent(inout) :: sv
character(len=*), intent(in) :: what
character(len=*), intent(in) :: val
integer(psb_ipk_), intent(out) :: info
integer(psb_ipk_), intent(in), optional :: idx
integer(psb_ipk_) :: err_act, ival
character(len=20) :: name='z_gs_solver_csetc'
info = psb_success_
call psb_erractionsave(err_act)
call sv%amg_z_base_solver_type%set(what,val,info,idx=idx)
if (info /= psb_success_) then
info = psb_err_from_subroutine_
call psb_errpush(info, name)
goto 9999
end if
call psb_erractionrestore(err_act)
return
9999 call psb_error_handler(err_act)
return
end subroutine z_gs_solver_csetc
subroutine z_gs_solver_csetr(sv,what,val,info,idx)
Implicit None
! Arguments
class(amg_z_gs_solver_type), intent(inout) :: sv
character(len=*), intent(in) :: what
real(psb_dpk_), intent(in) :: val
integer(psb_ipk_), intent(out) :: info
integer(psb_ipk_), intent(in), optional :: idx
integer(psb_ipk_) :: err_act
character(len=20) :: name='z_gs_solver_csetr'
call psb_erractionsave(err_act)
info = psb_success_
select case(psb_toupper(what))
case('SOLVER_EPS')
sv%eps = val
case default
call sv%amg_z_base_solver_type%set(what,val,info,idx=idx)
end select
call psb_erractionrestore(err_act)
return
9999 call psb_error_handler(err_act)
return
end subroutine z_gs_solver_csetr
subroutine z_gs_solver_free(sv,info)
Implicit None
! Arguments
class(amg_z_gs_solver_type), intent(inout) :: sv
integer(psb_ipk_), intent(out) :: info
integer(psb_ipk_) :: err_act
character(len=20) :: name='z_gs_solver_free'
call psb_erractionsave(err_act)
info = psb_success_
call sv%l%free()
call sv%u%free()
call psb_erractionrestore(err_act)
return
9999 call psb_error_handler(err_act)
return
end subroutine z_gs_solver_free
subroutine z_gs_solver_descr(sv,info,iout,coarse,prefix)
Implicit None
! Arguments
class(amg_z_gs_solver_type), intent(in) :: sv
integer(psb_ipk_), intent(out) :: info
integer(psb_ipk_), intent(in), optional :: iout
logical, intent(in), optional :: coarse
character(len=*), intent(in), optional :: prefix
! Local variables
integer(psb_ipk_) :: err_act
character(len=20), parameter :: name='amg_z_gs_solver_descr'
integer(psb_ipk_) :: iout_
character(1024) :: prefix_
call psb_erractionsave(err_act)
info = psb_success_
if (present(iout)) then
iout_ = iout
else
iout_ = psb_out_unit
endif
if (present(prefix)) then
prefix_ = prefix
else
prefix_ = ""
end if
if (sv%eps<=dzero) then
write(iout_,*) trim(prefix_), ' Forward Gauss-Seidel iterative solver with ',&
& sv%sweeps,' sweeps'
else
write(iout_,*) trim(prefix_), ' Forward 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_gs_solver_descr
function z_gs_solver_get_nzeros(sv) result(val)
implicit none
! Arguments
class(amg_z_gs_solver_type), intent(in) :: sv
integer(psb_epk_) :: val
integer(psb_ipk_) :: i
val = 0
val = val + sv%l%get_nzeros()
val = val + sv%u%get_nzeros()
return
end function z_gs_solver_get_nzeros
function z_gs_solver_sizeof(sv) result(val)
implicit none
! Arguments
class(amg_z_gs_solver_type), intent(in) :: sv
integer(psb_epk_) :: val
integer(psb_ipk_) :: i
val = psb_sizeof_ip
val = val + sv%l%sizeof()
val = val + sv%u%sizeof()
return
end function z_gs_solver_sizeof
function z_gs_solver_get_fmt() result(val)
implicit none
character(len=32) :: val
val = "Forward Gauss-Seidel solver"
end function z_gs_solver_get_fmt
function z_gs_solver_get_id() result(val)
implicit none
integer(psb_ipk_) :: val
val = amg_gs_
end function z_gs_solver_get_id
!
! If this is true, then the solver needs a starting
! 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
subroutine z_bwgs_solver_descr(sv,info,iout,coarse,prefix)
Implicit None
! Arguments
class(amg_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
character(len=*), intent(in), optional :: prefix
! Local variables
integer(psb_ipk_) :: err_act
character(len=20), parameter :: name='amg_z_bwgs_solver_descr'
integer(psb_ipk_) :: iout_
character(1024) :: prefix_
call psb_erractionsave(err_act)
info = psb_success_
if (present(iout)) then
iout_ = iout
else
iout_ = psb_out_unit
endif
if (present(prefix)) then
prefix_ = prefix
else
prefix_ = ""
end if
if (sv%eps<=dzero) then
write(iout_,*) trim(prefix_), ' Backward Gauss-Seidel iterative solver with ',&
& sv%sweeps,' sweeps'
else
write(iout_,*) trim(prefix_), ' 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 = amg_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 amg_z_gs_solver