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amg4psblas/krylov/mld_krylov_mod.f90

445 lines
18 KiB
Fortran

!!$
!!$ Parallel Sparse BLAS v2.0
!!$ (C) Copyright 2006 Salvatore Filippone University of Rome Tor Vergata
!!$ Alfredo Buttari 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 PSBLAS 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 PSBLAS 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.
!!$
!!$
!
! This is a partial duplication of material already present in the Krylov
! part of the PSBLAS subtree. This is not as bad as it sounds, since
! 1. There is no actual computation here, these are just wrappers around
! the actual methods, so very little code is necessary;
! 2. Changing the wrappers enables issuing error messages with a subroutine
! name coherent with what the user sees;
! 3. At the very least we would need a layer renaming the PSBLAS krylov interfaces,
! so we are doing approx. the same amount of (re)coding.
!
Module mld_krylov_mod
interface mld_krylov
module procedure mld_dkrylov, mld_zkrylov
end interface
interface psb_cg
subroutine psb_dcg(a,prec,b,x,eps,&
& desc_a,info,itmax,iter,err,itrace,istop)
use psb_base_mod
use psb_prec_mod
type(psb_dspmat_type), intent(in) :: a
type(psb_desc_type), intent(in) :: desc_a
real(kind(1.d0)), intent(in) :: b(:)
real(kind(1.d0)), intent(inout) :: x(:)
real(kind(1.d0)), intent(in) :: eps
type(psb_dprec_type), intent(in) :: prec
integer, intent(out) :: info
integer, optional, intent(in) :: itmax, itrace,istop
integer, optional, intent(out) :: iter
real(kind(1.d0)), optional, intent(out) :: err
end subroutine psb_dcg
end interface
interface psb_bicg
subroutine psb_dbicg(a,prec,b,x,eps,&
& desc_a,info,itmax,iter,err,itrace,istop)
use psb_base_mod
use psb_prec_mod
type(psb_dspmat_type), intent(in) :: a
type(psb_desc_type), intent(in) :: desc_a
real(kind(1.d0)), intent(in) :: b(:)
real(kind(1.d0)), intent(inout) :: x(:)
real(kind(1.d0)), intent(in) :: eps
type(psb_dprec_type), intent(in) :: prec
integer, intent(out) :: info
integer, optional, intent(in) :: itmax, itrace,istop
integer, optional, intent(out) :: iter
real(kind(1.d0)), optional, intent(out) :: err
end subroutine psb_dbicg
end interface
interface psb_bicgstab
subroutine psb_dcgstab(a,prec,b,x,eps,&
& desc_a,info,itmax,iter,err,itrace,istop)
use psb_base_mod
use psb_prec_mod
type(psb_dspmat_type), intent(in) :: a
type(psb_desc_type), intent(in) :: desc_a
real(kind(1.d0)), intent(in) :: b(:)
real(kind(1.d0)), intent(inout) :: x(:)
real(kind(1.d0)), intent(in) :: eps
type(psb_dprec_type), intent(in) :: prec
integer, intent(out) :: info
integer, optional, intent(in) :: itmax, itrace,istop
integer, optional, intent(out) :: iter
real(kind(1.d0)), optional, intent(out) :: err
end subroutine psb_dcgstab
subroutine psb_zcgstab(a,prec,b,x,eps,&
& desc_a,info,itmax,iter,err,itrace,istop)
use psb_base_mod
use psb_prec_mod
type(psb_zspmat_type), intent(in) :: a
type(psb_desc_type), intent(in) :: desc_a
complex(kind(1.d0)), intent(in) :: b(:)
complex(kind(1.d0)), intent(inout) :: x(:)
real(kind(1.d0)), intent(in) :: eps
type(psb_zprec_type), intent(in) :: prec
integer, intent(out) :: info
integer, optional, intent(in) :: itmax, itrace,istop
integer, optional, intent(out) :: iter
real(kind(1.d0)), optional, intent(out) :: err
end subroutine psb_zcgstab
end interface
interface psb_bicgstabl
Subroutine psb_dcgstabl(a,prec,b,x,eps,desc_a,info,&
&itmax,iter,err, itrace,irst,istop)
use psb_base_mod
use psb_prec_mod
Type(psb_dspmat_type), Intent(in) :: a
Type(psb_desc_type), Intent(in) :: desc_a
type(psb_dprec_type), intent(in) :: prec
Real(Kind(1.d0)), Intent(in) :: b(:)
Real(Kind(1.d0)), Intent(inout) :: x(:)
Real(Kind(1.d0)), Intent(in) :: eps
integer, intent(out) :: info
Integer, Optional, Intent(in) :: itmax, itrace, irst,istop
Integer, Optional, Intent(out) :: iter
Real(Kind(1.d0)), Optional, Intent(out) :: err
end subroutine psb_dcgstabl
end interface
interface psb_rgmres
Subroutine psb_dgmresr(a,prec,b,x,eps,desc_a,info,&
&itmax,iter,err,itrace,irst,istop)
use psb_base_mod
use psb_prec_mod
Type(psb_dspmat_type), Intent(in) :: a
Type(psb_desc_type), Intent(in) :: desc_a
type(psb_dprec_type), intent(in) :: prec
Real(Kind(1.d0)), Intent(in) :: b(:)
Real(Kind(1.d0)), Intent(inout) :: x(:)
Real(Kind(1.d0)), Intent(in) :: eps
integer, intent(out) :: info
Integer, Optional, Intent(in) :: itmax, itrace, irst,istop
Integer, Optional, Intent(out) :: iter
Real(Kind(1.d0)), Optional, Intent(out) :: err
end subroutine psb_dgmresr
Subroutine psb_zgmresr(a,prec,b,x,eps,desc_a,info,&
&itmax,iter,err,itrace,irst,istop)
use psb_base_mod
use psb_prec_mod
Type(psb_zspmat_type), Intent(in) :: a
Type(psb_desc_type), Intent(in) :: desc_a
type(psb_zprec_type), intent(in) :: prec
complex(Kind(1.d0)), Intent(in) :: b(:)
complex(Kind(1.d0)), Intent(inout) :: x(:)
Real(Kind(1.d0)), Intent(in) :: eps
integer, intent(out) :: info
Integer, Optional, Intent(in) :: itmax, itrace, irst,istop
Integer, Optional, Intent(out) :: iter
Real(Kind(1.d0)), Optional, Intent(out) :: err
end subroutine psb_zgmresr
end interface
interface psb_cgs
subroutine psb_dcgs(a,prec,b,x,eps,desc_a,info,&
&itmax,iter,err,itrace,istop)
use psb_base_mod
use psb_prec_mod
type(psb_dspmat_type), intent(in) :: a
type(psb_desc_type), intent(in) :: desc_a
type(psb_dprec_type), intent(in) :: prec
real(kind(1.d0)), intent(in) :: b(:)
real(kind(1.d0)), intent(inout) :: x(:)
real(kind(1.d0)), intent(in) :: eps
integer, intent(out) :: info
integer, optional, intent(in) :: itmax, itrace,istop
integer, optional, intent(out) :: iter
real(kind(1.d0)), optional, intent(out) :: err
end subroutine psb_dcgs
subroutine psb_zcgs(a,prec,b,x,eps,&
& desc_a,info,itmax,iter,err,itrace,istop)
use psb_base_mod
use psb_prec_mod
type(psb_zspmat_type), intent(in) :: a
type(psb_desc_type), intent(in) :: desc_a
complex(kind(1.d0)), intent(in) :: b(:)
complex(kind(1.d0)), intent(inout) :: x(:)
real(kind(1.d0)), intent(in) :: eps
type(psb_zprec_type), intent(in) :: prec
integer, intent(out) :: info
integer, optional, intent(in) :: itmax, itrace,istop
integer, optional, intent(out) :: iter
real(kind(1.d0)), optional, intent(out) :: err
end subroutine psb_zcgs
end interface
contains
!
! File: mld_krylov_mod.f90
!
! Subroutine: mld_dkrylov
!
! Front-end for the Krylov subspace iterations, real version
!
! Arguments:
!
! methd - character The specific method; can take the values:
! CG
! CGS
! BICG
! BICGSTAB
! BICGSTABL
! RGMRES
!
! a - type(<psb_dspmat_type>) Input: sparse matrix containing A.
! prec - type(<mld_dprec_type>) Input: preconditioner
! b - real,dimension(:) Input: vector containing the
! right hand side B
! x - real,dimension(:) Input/Output: vector containing the
! initial guess and final solution X.
! eps - real Input: Stopping tolerance; the iteration is
! stopped when the error estimate
! |err| <= eps
! desc_a - type(<psb_desc_type>). Input: The communication descriptor.
! info - integer. Output: Return code
!
! itmax - integer(optional) Input: maximum number of iterations to be
! performed.
! iter - integer(optional) Output: how many iterations have been
! performed.
! err - real (optional) Output: error estimate on exit
! itrace - integer(optional) Input: print an informational message
! with the error estimate every itrace
! iterations
! irst - integer(optional) Input: restart parameter for RGMRES and
! BICGSTAB(L) methods
! istop - integer(optional) Input: stopping criterion, or how
! to estimate the error.
! 1: err = |r|/|b|
! 2: err = |r|/(|a||x|+|b|)
! where r is the (preconditioned, recursive
! estimate of) residual
!
Subroutine mld_dkrylov(method,a,prec,b,x,eps,desc_a,info,&
&itmax,iter,err,itrace,irst,istop)
use psb_base_mod
use psb_prec_mod
character(len=*) :: method
Type(psb_dspmat_type), Intent(in) :: a
Type(psb_desc_type), Intent(in) :: desc_a
type(psb_dprec_type), intent(in) :: prec
Real(Kind(1.d0)), Intent(in) :: b(:)
Real(Kind(1.d0)), Intent(inout) :: x(:)
Real(Kind(1.d0)), Intent(in) :: eps
integer, intent(out) :: info
Integer, Optional, Intent(in) :: itmax, itrace, irst,istop
Integer, Optional, Intent(out) :: iter
Real(Kind(1.d0)), Optional, Intent(out) :: err
integer :: ictxt,me,np,err_act
character(len=20) :: name
info = 0
name = 'mld_krylov'
call psb_erractionsave(err_act)
ictxt=psb_cd_get_context(desc_a)
call psb_info(ictxt, me, np)
select case(toupper(method))
case('CG')
call psb_cg(a,prec,b,x,eps,desc_a,info,&
&itmax,iter,err,itrace,istop)
case('CGS')
call psb_cgs(a,prec,b,x,eps,desc_a,info,&
&itmax,iter,err,itrace,istop)
case('BICG')
call psb_bicg(a,prec,b,x,eps,desc_a,info,&
&itmax,iter,err,itrace,istop)
case('BICGSTAB')
call psb_bicgstab(a,prec,b,x,eps,desc_a,info,&
&itmax,iter,err,itrace,istop)
case('RGMRES')
call psb_rgmres(a,prec,b,x,eps,desc_a,info,&
&itmax,iter,err,itrace,irst,istop)
case('BICGSTABL')
call psb_bicgstabl(a,prec,b,x,eps,desc_a,info,&
&itmax,iter,err,itrace,irst,istop)
case default
if (me==0) write(0,*) 'Warning: Unknown method ',method,&
& ' in ',name,' defaulting to BiCGSTAB'
call psb_bicgstab(a,prec,b,x,eps,desc_a,info,&
&itmax,iter,err,itrace,istop)
end select
if(info/=0) then
call psb_errpush(info,name)
goto 9999
end if
call psb_erractionrestore(err_act)
return
9999 continue
call psb_erractionrestore(err_act)
if (err_act.eq.psb_act_abort_) then
call psb_error(ictxt)
return
end if
end subroutine mld_dkrylov
!
! File: mld_krylov_mod.f90
!
! Subroutine: mld_zkrylov
!
! Front-end for the Krylov subspace iterations, complexversion
!
! Arguments:
!
! methd - character The specific method; can take the values:
! CGS
! BICGSTAB
! RGMRES
!
! a - type(<psb_zspmat_type>) Input: sparse matrix containing A.
! prec - type(<mld_zprec_type>) Input: preconditioner
! b - complex,dimension(:) Input: vector containing the
! right hand side B
! x - complex,dimension(:) Input/Output: vector containing the
! initial guess and final solution X.
! eps - real Input: Stopping tolerance; the iteration is
! stopped when the error estimate
! |err| <= eps
! desc_a - type(<psb_desc_type>). Input: The communication descriptor.
! info - integer. Output: Return code
!
! itmax - integer(optional) Input: maximum number of iterations to be
! performed.
! iter - integer(optional) Output: how many iterations have been
! performed.
! err - real (optional) Output: error estimate on exit
! itrace - integer(optional) Input: print an informational message
! with the error estimate every itrace
! iterations
! irst - integer(optional) Input: restart parameter for RGMRES and
! BICGSTAB(L) methods
! istop - integer(optional) Input: stopping criterion, or how
! to estimate the error.
! 1: err = |r|/|b|
! 2: err = |r|/(|a||x|+|b|)
! where r is the (preconditioned, recursive
! estimate of) residual
!
Subroutine mld_zkrylov(method,a,prec,b,x,eps,desc_a,info,&
&itmax,iter,err,itrace,irst,istop)
use psb_base_mod
use psb_prec_mod
character(len=*) :: method
Type(psb_zspmat_type), Intent(in) :: a
Type(psb_desc_type), Intent(in) :: desc_a
type(psb_zprec_type), intent(in) :: prec
complex(Kind(1.d0)), Intent(in) :: b(:)
complex(Kind(1.d0)), Intent(inout) :: x(:)
Real(Kind(1.d0)), Intent(in) :: eps
integer, intent(out) :: info
Integer, Optional, Intent(in) :: itmax, itrace, irst,istop
Integer, Optional, Intent(out) :: iter
Real(Kind(1.d0)), Optional, Intent(out) :: err
integer :: ictxt,me,np,err_act
character(len=20) :: name
info = 0
name = 'mld_krylov'
call psb_erractionsave(err_act)
ictxt=psb_cd_get_context(desc_a)
call psb_info(ictxt, me, np)
select case(toupper(method))
!!$ case('CG')
!!$ call psb_cg(a,prec,b,x,eps,desc_a,info,&
!!$ &itmax,iter,err,itrace,istop)
case('CGS')
call psb_cgs(a,prec,b,x,eps,desc_a,info,&
&itmax,iter,err,itrace,istop)
!!$ case('BICG')
!!$ call psb_bicg(a,prec,b,x,eps,desc_a,info,&
!!$ &itmax,iter,err,itrace,istop)
case('BICGSTAB')
call psb_bicgstab(a,prec,b,x,eps,desc_a,info,&
& itmax,iter,err,itrace,istop)
case('RGMRES')
call psb_rgmres(a,prec,b,x,eps,desc_a,info,&
& itmax,iter,err,itrace,irst,istop)
!!$ case('BICGSTABL')
!!$ call psb_bicgstabl(a,prec,b,x,eps,desc_a,info,&
!!$ &itmax,iter,err,itrace,irst,istop)
case default
if (me==0) write(0,*) 'Warning: Unknown method ',method,&
& ' in ',name,' defaulting to BiCGSTAB'
call psb_bicgstab(a,prec,b,x,eps,desc_a,info,&
&itmax,iter,err,itrace,istop)
end select
if(info/=0) then
call psb_errpush(info,name)
goto 9999
end if
call psb_erractionrestore(err_act)
return
9999 continue
call psb_erractionrestore(err_act)
if (err_act.eq.psb_act_abort_) then
call psb_error(ictxt)
return
end if
end subroutine mld_zkrylov
end module mld_krylov_mod