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461 lines
18 KiB
Fortran
461 lines
18 KiB
Fortran
!!$
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!!$
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!!$ MLD2P4
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!!$ MultiLevel Domain Decomposition Parallel Preconditioners Package
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!!$ based on PSBLAS (Parallel Sparse BLAS v.2.0)
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!!$
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!!$ (C) Copyright 2006 Alfredo Buttari University of Rome Tor Vergata
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!!$ Pasqua D'Ambra ICAR-CNR, Naples
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!!$ Daniela di Serafino Second University of Naples
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!!$ Salvatore Filippone University of Rome Tor Vergata
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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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! File: mld_krylov_mod.f90.
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!
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! Module: mld_krylov_mod.
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! Contains: mld_dkrylov, mld_zkrylov.
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!
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! This module defines the interfaces to the real and complex versions of the
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! routines implementing Krylov solvers:
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! - mld_krylov : driver providing a general interface to the Krylov
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! solvers available in PSBLAS;
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! - psb_cg : Conjugate Gradient (CG) solver (real version only);
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! - psb_bicg : BiConjugate Gradient (BiCG) solver (real version only);
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! - psb_bicgstab : BiConjugate Gradient Stabilized (BiCGStab) solver;
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! - psb_bicgstabl : BiCGStab(l) solver (real version only);
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! - psb_rgmres : Generalized Minimal Residual (GMRES) solver with
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! Restarting;
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! - psb_cgs : Conjugate Gradient Squared (CGS) solver.
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!
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! This is a partial duplication of material already present in the Krylov
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! part of the PSBLAS subtree. This is not bad since
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! 1. there is no actual computation here, these are just wrappers around
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! the actual methods, so very little code is necessary;
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! 2. these wrappers enable issuing error messages with a subroutine name
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! coherent with what the user sees;
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! 3. at the very least we would need a layer renaming the PSBLAS krylov
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! interfaces, so we are doing approximately the same amount of (re)coding.
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!
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Module mld_krylov_mod
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interface mld_krylov
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module procedure mld_dkrylov, mld_zkrylov
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end interface
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interface psb_cg
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subroutine psb_dcg(a,prec,b,x,eps,&
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& desc_a,info,itmax,iter,err,itrace,istop)
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use psb_base_mod
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use psb_prec_mod
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type(psb_dspmat_type), intent(in) :: a
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type(psb_desc_type), intent(in) :: desc_a
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real(kind(1.d0)), intent(in) :: b(:)
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real(kind(1.d0)), intent(inout) :: x(:)
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real(kind(1.d0)), intent(in) :: eps
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type(psb_dprec_type), intent(in) :: prec
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integer, intent(out) :: info
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integer, optional, intent(in) :: itmax, itrace,istop
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integer, optional, intent(out) :: iter
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real(kind(1.d0)), optional, intent(out) :: err
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end subroutine psb_dcg
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end interface
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interface psb_bicg
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subroutine psb_dbicg(a,prec,b,x,eps,&
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& desc_a,info,itmax,iter,err,itrace,istop)
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use psb_base_mod
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use psb_prec_mod
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type(psb_dspmat_type), intent(in) :: a
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type(psb_desc_type), intent(in) :: desc_a
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real(kind(1.d0)), intent(in) :: b(:)
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real(kind(1.d0)), intent(inout) :: x(:)
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real(kind(1.d0)), intent(in) :: eps
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type(psb_dprec_type), intent(in) :: prec
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integer, intent(out) :: info
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integer, optional, intent(in) :: itmax, itrace,istop
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integer, optional, intent(out) :: iter
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real(kind(1.d0)), optional, intent(out) :: err
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end subroutine psb_dbicg
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end interface
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interface psb_bicgstab
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subroutine psb_dcgstab(a,prec,b,x,eps,&
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& desc_a,info,itmax,iter,err,itrace,istop)
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use psb_base_mod
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use psb_prec_mod
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type(psb_dspmat_type), intent(in) :: a
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type(psb_desc_type), intent(in) :: desc_a
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real(kind(1.d0)), intent(in) :: b(:)
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real(kind(1.d0)), intent(inout) :: x(:)
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real(kind(1.d0)), intent(in) :: eps
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type(psb_dprec_type), intent(in) :: prec
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integer, intent(out) :: info
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integer, optional, intent(in) :: itmax, itrace,istop
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integer, optional, intent(out) :: iter
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real(kind(1.d0)), optional, intent(out) :: err
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end subroutine psb_dcgstab
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subroutine psb_zcgstab(a,prec,b,x,eps,&
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& desc_a,info,itmax,iter,err,itrace,istop)
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use psb_base_mod
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use psb_prec_mod
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type(psb_zspmat_type), intent(in) :: a
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type(psb_desc_type), intent(in) :: desc_a
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complex(kind(1.d0)), intent(in) :: b(:)
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complex(kind(1.d0)), intent(inout) :: x(:)
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real(kind(1.d0)), intent(in) :: eps
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type(psb_zprec_type), intent(in) :: prec
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integer, intent(out) :: info
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integer, optional, intent(in) :: itmax, itrace,istop
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integer, optional, intent(out) :: iter
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real(kind(1.d0)), optional, intent(out) :: err
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end subroutine psb_zcgstab
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end interface
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interface psb_bicgstabl
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Subroutine psb_dcgstabl(a,prec,b,x,eps,desc_a,info,&
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&itmax,iter,err, itrace,irst,istop)
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use psb_base_mod
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use psb_prec_mod
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Type(psb_dspmat_type), Intent(in) :: a
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Type(psb_desc_type), Intent(in) :: desc_a
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type(psb_dprec_type), intent(in) :: prec
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Real(Kind(1.d0)), Intent(in) :: b(:)
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Real(Kind(1.d0)), Intent(inout) :: x(:)
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Real(Kind(1.d0)), Intent(in) :: eps
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integer, intent(out) :: info
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Integer, Optional, Intent(in) :: itmax, itrace, irst,istop
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Integer, Optional, Intent(out) :: iter
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Real(Kind(1.d0)), Optional, Intent(out) :: err
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end subroutine psb_dcgstabl
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end interface
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interface psb_rgmres
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Subroutine psb_dgmresr(a,prec,b,x,eps,desc_a,info,&
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&itmax,iter,err,itrace,irst,istop)
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use psb_base_mod
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use psb_prec_mod
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Type(psb_dspmat_type), Intent(in) :: a
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Type(psb_desc_type), Intent(in) :: desc_a
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type(psb_dprec_type), intent(in) :: prec
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Real(Kind(1.d0)), Intent(in) :: b(:)
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Real(Kind(1.d0)), Intent(inout) :: x(:)
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Real(Kind(1.d0)), Intent(in) :: eps
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integer, intent(out) :: info
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Integer, Optional, Intent(in) :: itmax, itrace, irst,istop
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Integer, Optional, Intent(out) :: iter
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Real(Kind(1.d0)), Optional, Intent(out) :: err
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end subroutine psb_dgmresr
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Subroutine psb_zgmresr(a,prec,b,x,eps,desc_a,info,&
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&itmax,iter,err,itrace,irst,istop)
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use psb_base_mod
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use psb_prec_mod
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Type(psb_zspmat_type), Intent(in) :: a
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Type(psb_desc_type), Intent(in) :: desc_a
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type(psb_zprec_type), intent(in) :: prec
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complex(Kind(1.d0)), Intent(in) :: b(:)
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complex(Kind(1.d0)), Intent(inout) :: x(:)
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Real(Kind(1.d0)), Intent(in) :: eps
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integer, intent(out) :: info
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Integer, Optional, Intent(in) :: itmax, itrace, irst,istop
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Integer, Optional, Intent(out) :: iter
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Real(Kind(1.d0)), Optional, Intent(out) :: err
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end subroutine psb_zgmresr
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end interface
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interface psb_cgs
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subroutine psb_dcgs(a,prec,b,x,eps,desc_a,info,&
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&itmax,iter,err,itrace,istop)
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use psb_base_mod
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use psb_prec_mod
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type(psb_dspmat_type), intent(in) :: a
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type(psb_desc_type), intent(in) :: desc_a
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type(psb_dprec_type), intent(in) :: prec
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real(kind(1.d0)), intent(in) :: b(:)
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real(kind(1.d0)), intent(inout) :: x(:)
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real(kind(1.d0)), intent(in) :: eps
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integer, intent(out) :: info
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integer, optional, intent(in) :: itmax, itrace,istop
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integer, optional, intent(out) :: iter
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real(kind(1.d0)), optional, intent(out) :: err
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end subroutine psb_dcgs
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subroutine psb_zcgs(a,prec,b,x,eps,&
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& desc_a,info,itmax,iter,err,itrace,istop)
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use psb_base_mod
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use psb_prec_mod
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type(psb_zspmat_type), intent(in) :: a
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type(psb_desc_type), intent(in) :: desc_a
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complex(kind(1.d0)), intent(in) :: b(:)
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complex(kind(1.d0)), intent(inout) :: x(:)
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real(kind(1.d0)), intent(in) :: eps
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type(psb_zprec_type), intent(in) :: prec
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integer, intent(out) :: info
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integer, optional, intent(in) :: itmax, itrace,istop
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integer, optional, intent(out) :: iter
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real(kind(1.d0)), optional, intent(out) :: err
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end subroutine psb_zcgs
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end interface
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contains
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!
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! Subroutine: mld_dkrylov/mld_zkrylov.
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! Version: real/complex.
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! Note: internal subroutine of module mld_krylov_mod.
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!
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! This routine solves a linear system
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!
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! Ax = b
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!
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! by using one of following preconditioned Krylov solvers: CG, BiCG, BiCGStab,
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! BiCGStab(l), Restarted GMRES, CGS. The preconditioning is applied as right
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! preconditioning.
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!
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! The user can choose among two stopping criteria:
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!
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! - one based on the normwise backward error in the infinity norm, i.e.
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!
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! ||r_i||_inf < eps * (||A||_inf * ||x_i||_inf + ||b||_inf);
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!
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! - the other based on the relative residual reduction in the 2-norm, i.e.
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!
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! ||r_i||_2 < eps * ||b||_2.
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!
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! In the above formulae, x_i is the approximate solution and r_i = b - A*x_i
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! is the corresponding residual at the i-th iteration.
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!
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! This routine is a driver that provides a general interface to the Krylov
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! solvers implemented in PSBLAS. These solvers can use all the preconditioners
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! available in MLD2P4.
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!
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!
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! Arguments:
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! method - character(len=*), input.
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! The Krylov method to be applied. The following values are
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! are allowed in the real case: 'cg', 'bicg', 'bicgstab',
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! 'bicgstabl', 'rgmres', 'cgs' (and all the upper/lower case
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! variants). The same values except 'cg', 'bicg' and 'bicgstabl'
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! are allowed in the complex case.
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! a - type(psb_dspmat_type)/type(psb_zspmat_type), input.
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! The sparse matrix structure containing the local part of the
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! matrix A.
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! prec - type(mld_dprec_type)/type(mld_zprec_type), input.
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! The preconditioner data structure containing the local part
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! of the preconditioner to be applied.
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! b - real(kind(1.d0))/complex(kind(1.d0)), dimension(:), input.
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! The local part of the right-hand side.
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! x - real(kind(1.d0))/complex(kind(1.d0)), dimension(:), input/output.
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! The local part of the approximate solution. In input it
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! contains an initial guess of the solution, while, in output,
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! the approximation computed by the selected Krylov solver.
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! eps - real(kind(1.d0)), input.
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! The tolerance used in the stopping criterion.
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! desc_a - type(psb_desc_type), input.
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! The communication descriptor associated to a.
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! info - integer, output.
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! Error code.
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! itmax - integer, optional, input.
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! The maximum number of iterations to be performed. If itmax
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! is not present, a maximum number of 1000 iterations is
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! assumed.
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! iter - integer, optional, output.
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! The number of iterations actually performed.
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! err - real(kind(1.d0)), optional, output.
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! An estimate of the error in the computed solution, i.e. the
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! relative backward error ||r|| / (||A||*||x||+||b||), where
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! || || is the infinity norm, or the relative residual
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! ||r||/||b||, where || || is the 2-norm, according to the
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! selected stopping criterion (see istop below).
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! itrace - integer, optional, input.
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! If itrace>0 then information about convergence is printed
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! every itrace iterations; otherwise it is ignored. If itrace
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! is not present, itrace=0 is assumed.
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! irst - integer, optional, input.
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! The restart parameter used in the GMRES and BiCGSTAB(l)
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! solvers. It is ignored if other solvers are chosen. If irst
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! is not present, irst=10 is assumed for Restarded GMRES and
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! irst=l=1 for BiCGStab(l) (note that BiCGStab(1)=BiCGStab).
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! istop - integer, optional, input.
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! The normwise backward error stopping criterion is used if
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! istop=1; the relative residual one if istop=2. If istop
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! is not present, istop=1 is assumed.
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!
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Subroutine mld_dkrylov(method,a,prec,b,x,eps,desc_a,info,&
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&itmax,iter,err,itrace,irst,istop)
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use psb_base_mod
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use psb_prec_mod
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! Arguments
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character(len=*), intent(in) :: method
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Type(psb_dspmat_type), Intent(in) :: a
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Type(psb_desc_type), Intent(in) :: desc_a
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type(psb_dprec_type), intent(in) :: prec
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Real(Kind(1.d0)), Intent(in) :: b(:)
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Real(Kind(1.d0)), Intent(inout) :: x(:)
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Real(Kind(1.d0)), Intent(in) :: eps
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integer, intent(out) :: info
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Integer, Optional, Intent(in) :: itmax, itrace, irst,istop
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Integer, Optional, Intent(out) :: iter
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Real(Kind(1.d0)), Optional, Intent(out) :: err
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! Local variables
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integer :: ictxt,me,np,err_act
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character(len=20) :: name
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info = 0
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name = 'mld_krylov'
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call psb_erractionsave(err_act)
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ictxt=psb_cd_get_context(desc_a)
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call psb_info(ictxt, me, np)
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select case(toupper(method))
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case('CG')
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call psb_cg(a,prec,b,x,eps,desc_a,info,&
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&itmax,iter,err,itrace,istop)
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case('CGS')
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call psb_cgs(a,prec,b,x,eps,desc_a,info,&
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&itmax,iter,err,itrace,istop)
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case('BICG')
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call psb_bicg(a,prec,b,x,eps,desc_a,info,&
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&itmax,iter,err,itrace,istop)
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case('BICGSTAB')
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call psb_bicgstab(a,prec,b,x,eps,desc_a,info,&
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&itmax,iter,err,itrace,istop)
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case('RGMRES')
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call psb_rgmres(a,prec,b,x,eps,desc_a,info,&
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&itmax,iter,err,itrace,irst,istop)
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case('BICGSTABL')
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call psb_bicgstabl(a,prec,b,x,eps,desc_a,info,&
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&itmax,iter,err,itrace,irst,istop)
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case default
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if (me==0) write(0,*) 'Warning: Unknown method ',method,&
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& ' in ',name,' defaulting to BiCGSTAB'
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call psb_bicgstab(a,prec,b,x,eps,desc_a,info,&
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&itmax,iter,err,itrace,istop)
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end select
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if(info/=0) then
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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 continue
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call psb_erractionrestore(err_act)
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if (err_act.eq.psb_act_abort_) then
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call psb_error(ictxt)
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return
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end if
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end subroutine mld_dkrylov
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Subroutine mld_zkrylov(method,a,prec,b,x,eps,desc_a,info,&
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&itmax,iter,err,itrace,irst,istop)
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use psb_base_mod
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use psb_prec_mod
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! Arguments
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character(len=*), intent(in) :: method
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Type(psb_zspmat_type), Intent(in) :: a
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Type(psb_desc_type), Intent(in) :: desc_a
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type(psb_zprec_type), intent(in) :: prec
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complex(Kind(1.d0)), Intent(in) :: b(:)
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complex(Kind(1.d0)), Intent(inout) :: x(:)
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Real(Kind(1.d0)), Intent(in) :: eps
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integer, intent(out) :: info
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Integer, Optional, Intent(in) :: itmax, itrace, irst,istop
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Integer, Optional, Intent(out) :: iter
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Real(Kind(1.d0)), Optional, Intent(out) :: err
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! Local variables
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integer :: ictxt,me,np,err_act
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character(len=20) :: name
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info = 0
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name = 'mld_krylov'
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call psb_erractionsave(err_act)
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ictxt=psb_cd_get_context(desc_a)
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call psb_info(ictxt, me, np)
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|
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|
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select case(toupper(method))
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|
!!$ case('CG')
|
|
!!$ call psb_cg(a,prec,b,x,eps,desc_a,info,&
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!!$ &itmax,iter,err,itrace,istop)
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case('CGS')
|
|
call psb_cgs(a,prec,b,x,eps,desc_a,info,&
|
|
&itmax,iter,err,itrace,istop)
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!!$ case('BICG')
|
|
!!$ call psb_bicg(a,prec,b,x,eps,desc_a,info,&
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!!$ &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
|
|
|
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end module mld_krylov_mod
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