!!$ !!$ !!$ MLD2P4 !!$ MultiLevel Domain Decomposition Parallel Preconditioners Package !!$ based on PSBLAS (Parallel Sparse BLAS v.2.0) !!$ !!$ (C) Copyright 2006 Alfredo Buttari University of Rome Tor Vergata !!$ Pasqua D'Ambra ICAR-CNR, Naples !!$ Daniela di Serafino Second University of Naples !!$ Salvatore Filippone 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() Input: sparse matrix containing A. ! prec - 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(). 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() Input: sparse matrix containing A. ! prec - 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(). 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