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392 lines
14 KiB
Fortran
392 lines
14 KiB
Fortran
!!$
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!!$ Parallel Sparse BLAS version 3.1
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!!$ (C) Copyright 2006, 2007, 2008, 2009, 2010, 2012, 2013
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!!$ Salvatore Filippone University of Rome Tor Vergata
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!!$ Alfredo Buttari CNRS-IRIT, Toulouse
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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 PSBLAS 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 PSBLAS 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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!!$ CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
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!!$ C C
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!!$ C References: C
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!!$ C [1] Duff, I., Marrone, M., Radicati, G., and Vittoli, C. C
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!!$ C Level 3 basic linear algebra subprograms for sparse C
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!!$ C matrices: a user level interface C
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!!$ C ACM Trans. Math. Softw., 23(3), 379-401, 1997. C
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!!$ C C
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!!$ C C
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!!$ C [2] S. Filippone, M. Colajanni C
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!!$ C PSBLAS: A library for parallel linear algebra C
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!!$ C computation on sparse matrices C
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!!$ C ACM Trans. on Math. Softw., 26(4), 527-550, Dec. 2000. C
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!!$ C C
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!!$ C [3] M. Arioli, I. Duff, M. Ruiz C
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!!$ C Stopping criteria for iterative solvers C
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!!$ C SIAM J. Matrix Anal. Appl., Vol. 13, pp. 138-144, 1992 C
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!!$ C C
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!!$ C C
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!!$ C [4] R. Barrett et al C
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!!$ C Templates for the solution of linear systems C
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!!$ C SIAM, 1993
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!!$ C C
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!!$ C C
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!!$ CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
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! File: psb_dcgstab.f90
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!
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! Subroutine: psb_dcgstab
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! This subroutine implements the BiCG Stabilized method.
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!
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!
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! Arguments:
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!
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! a - type(psb_dspmat_type) Input: sparse matrix containing A.
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! prec - class(psb_dprec_type) Input: preconditioner
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! b - real,dimension(:) Input: vector containing the
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! right hand side B
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! x - real,dimension(:) Input/Output: vector containing the
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! initial guess and final solution X.
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! eps - real Input: Stopping tolerance; the iteration is
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! stopped when the error estimate |err| <= eps
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! desc_a - type(psb_desc_type). Input: The communication descriptor.
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! info - integer. Output: Return code
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!
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! itmax - integer(optional) Input: maximum number of iterations to be
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! performed.
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! iter - integer(optional) Output: how many iterations have been
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! performed.
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! performed.
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! err - real (optional) Output: error estimate on exit. If the
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! denominator of the estimate is exactly
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! 0, it is changed into 1.
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! itrace - integer(optional) Input: print an informational message
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! with the error estimate every itrace
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! iterations
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! istop - integer(optional) Input: stopping criterion, or how
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! to estimate the error.
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! 1: err = |r|/(|a||x|+|b|); here the iteration is
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! stopped when |r| <= eps * (|a||x|+|b|)
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! 2: err = |r|/|b|; here the iteration is
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! stopped when |r| <= eps * |b|
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! where r is the (preconditioned, recursive
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! estimate of) residual.
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!
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Subroutine psb_dcgstab_vect(a,prec,b,x,eps,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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use psb_d_krylov_conv_mod
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use psb_krylov_mod
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implicit none
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type(psb_dspmat_type), intent(in) :: a
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class(psb_dprec_type), Intent(inout) :: prec
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Type(psb_desc_type), Intent(in) :: desc_a
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type(psb_d_vect_type), Intent(inout) :: b
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type(psb_d_vect_type), Intent(inout) :: x
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Real(psb_dpk_), Intent(in) :: eps
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integer(psb_ipk_), intent(out) :: info
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integer(psb_ipk_), Optional, Intent(in) :: itmax, itrace, istop
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integer(psb_ipk_), Optional, Intent(out) :: iter
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Real(psb_dpk_), Optional, Intent(out) :: err
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! = Local data
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real(psb_dpk_), allocatable, target :: aux(:),wwrk(:,:)
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type(psb_d_vect_type) :: q, r, p, v, s, t, z, f
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integer(psb_ipk_) :: itmax_, naux, mglob, it,itrace_,&
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& n_row, n_col
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integer(psb_ipk_) :: debug_level, debug_unit
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Logical, Parameter :: exchange=.True., noexchange=.False., debug1 = .False.
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integer(psb_ipk_), Parameter :: irmax = 8
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integer(psb_ipk_) :: itx, err_act, i
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integer(psb_ipk_) :: istop_
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integer(psb_ipk_) :: ictxt, np, me
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real(psb_dpk_) :: derr
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real(psb_dpk_) :: alpha, beta, rho, rho_old, sigma, omega, tau
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type(psb_itconv_type) :: stopdat
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character(len=20) :: name
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character(len=*), parameter :: methdname='BiCGStab'
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info = psb_success_
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name = 'psb_dcgstab'
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call psb_erractionsave(err_act)
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debug_unit = psb_get_debug_unit()
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debug_level = psb_get_debug_level()
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ictxt = desc_a%get_context()
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call psb_info(ictxt, me, np)
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if (debug_level >= psb_debug_ext_)&
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& write(debug_unit,*) me,' ',trim(name),': from psb_info',np
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if (.not.allocated(x%v)) then
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info = psb_err_invalid_vect_state_
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call psb_errpush(info,name)
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goto 9999
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endif
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if (.not.allocated(b%v)) then
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info = psb_err_invalid_vect_state_
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call psb_errpush(info,name)
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goto 9999
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endif
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mglob = desc_a%get_global_rows()
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n_row = desc_a%get_local_rows()
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n_col = desc_a%get_local_cols()
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If (Present(istop)) Then
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istop_ = istop
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Else
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istop_ = 2
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Endif
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!
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! ISTOP_ = 1: Normwise backward error, infinity norm
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! ISTOP_ = 2: ||r||/||b|| norm 2
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!
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! = if (.not.same_type_as(x,b)) then
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! = write(0,*) 'Warning: different dynamic types for X and B '
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! = end if
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call psb_chkvect(mglob,ione,x%get_nrows(),ione,ione,desc_a,info)
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if (psb_errstatus_fatal()) then
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info=psb_err_from_subroutine_
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call psb_errpush(info,name,a_err='psb_chkvect on X')
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goto 9999
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end if
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call psb_chkvect(mglob,ione,b%get_nrows(),ione,ione,desc_a,info)
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if (psb_errstatus_fatal()) then
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info=psb_err_from_subroutine_
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call psb_errpush(info,name,a_err='psb_chkvect on B')
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goto 9999
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end if
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naux=6*n_col
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if (info == psb_success_) allocate(aux(naux),stat=info)
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if (info /= psb_success_) then
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info=psb_err_alloc_dealloc_
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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_geasb(q,desc_a,info,mold=x%v,scratch=.true.)
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call psb_geasb(r,desc_a,info,mold=x%v,scratch=.true.)
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call psb_geasb(p,desc_a,info,mold=x%v,scratch=.true.)
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call psb_geasb(v,desc_a,info,mold=x%v,scratch=.true.)
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call psb_geasb(s,desc_a,info,mold=x%v,scratch=.true.)
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call psb_geasb(t,desc_a,info,mold=x%v,scratch=.true.)
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call psb_geasb(z,desc_a,info,mold=x%v,scratch=.true.)
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call psb_geasb(f,desc_a,info,mold=x%v,scratch=.true.)
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if (psb_errstatus_fatal()) then
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info=psb_err_from_subroutine_non_
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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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If (Present(itmax)) Then
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itmax_ = itmax
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Else
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itmax_ = 1000
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Endif
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If (Present(itrace)) Then
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itrace_ = itrace
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Else
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itrace_ = 0
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End If
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itx = 0
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call psb_init_conv(methdname,istop_,itrace_,itmax_,a,b,eps,desc_a,stopdat,info)
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if (psb_errstatus_fatal()) Then
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call psb_errpush(psb_err_from_subroutine_non_,name)
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goto 9999
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End If
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restart: Do
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if (itx >= itmax_) exit restart
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it = 0
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call psb_geaxpby(done,b,dzero,r,desc_a,info)
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call psb_spmm(-done,a,x,done,r,desc_a,info,work=aux)
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call psb_geaxpby(done,r,dzero,q,desc_a,info)
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! Perhaps we already satisfy the convergence criterion...
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if (psb_check_conv(methdname,itx,x,r,desc_a,stopdat,info)) exit restart
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if (psb_errstatus_fatal()) then
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info=psb_err_from_subroutine_
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call psb_errpush(info,name,a_err='Init residual chk')
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goto 9999
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end if
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rho = dzero
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iteration: Do
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it = it + 1
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itx = itx + 1
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if (debug_level >= psb_debug_ext_)&
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& write(debug_unit,*) me,' ',trim(name),&
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& ' Iteration: ',itx
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rho_old = rho
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rho = psb_gedot(q,r,desc_a,info)
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if (debug_level >= psb_debug_ext_) then
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call q%sync()
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call r%sync()
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end if
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if (debug_level >= psb_debug_ext_)&
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& write(debug_unit,*) me,' ',trim(name),&
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& ' Rho: ',rho
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if (rho == dzero) then
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if (debug_level >= psb_debug_ext_) &
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& write(debug_unit,*) me,' ',trim(name),&
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& ' Iteration breakdown R',rho
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exit iteration
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endif
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if (it == 1) then
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call psb_geaxpby(done,r,dzero,p,desc_a,info)
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else
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beta = (rho/rho_old)*(alpha/omega)
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call psb_geaxpby(-omega,v,done,p,desc_a,info)
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call psb_geaxpby(done,r,beta,p,desc_a,info)
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End If
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call prec%apply(p,f,desc_a,info,work=aux)
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call psb_spmm(done,a,f,dzero,v,desc_a,info,&
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& work=aux)
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sigma = psb_gedot(q,v,desc_a,info)
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if (debug_level >= psb_debug_ext_) then
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call q%sync()
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call v%sync()
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end if
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if (debug_level >= psb_debug_ext_)&
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& write(debug_unit,*) me,' ',trim(name),&
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& ' Sigma: ',sigma
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if (sigma == dzero) then
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if (debug_level >= psb_debug_ext_) &
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& write(debug_unit,*) me,' ',trim(name),&
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& ' Iteration breakdown S1', sigma
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exit iteration
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endif
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alpha = rho/sigma
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call psb_geaxpby(done,r,dzero,s,desc_a,info)
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call psb_geaxpby(-alpha,v,done,s,desc_a,info)
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if (debug_level >= psb_debug_ext_)&
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& write(debug_unit,*) me,' ',trim(name),&
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& ' alpha: ',alpha
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if (psb_errstatus_fatal()) then
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call psb_errpush(psb_err_from_subroutine_,name,a_err='psb_geaxpby')
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goto 9999
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end if
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call prec%apply(s,z,desc_a,info,work=aux)
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Call psb_spmm(done,a,z,dzero,t,desc_a,info,work=aux)
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if(psb_errstatus_fatal()) then
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call psb_errpush(psb_err_from_subroutine_,name,a_err='precaply/spmm')
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goto 9999
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end if
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sigma = psb_gedot(t,t,desc_a,info)
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if (sigma == dzero) then
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if (debug_level >= psb_debug_ext_) &
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& write(debug_unit,*) me,' ',trim(name),&
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& ' Iteration breakdown S2', sigma
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exit iteration
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endif
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tau = psb_gedot(t,s,desc_a,info)
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omega = tau/sigma
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if (debug_level >= psb_debug_ext_) then
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call t%sync()
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call s%sync()
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end if
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if (debug_level >= psb_debug_ext_)&
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& write(debug_unit,*) me,' ',trim(name),&
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& ' sigma, tau, omega: ',sigma, tau, omega
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if (omega == dzero) then
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if (debug_level >= psb_debug_ext_) &
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& write(debug_unit,*) me,' ',trim(name),&
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& ' Iteration breakdown O',omega
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exit iteration
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endif
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call psb_geaxpby(alpha,f,done,x,desc_a,info)
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call psb_geaxpby(omega,z,done,x,desc_a,info)
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call psb_geaxpby(done,s,dzero,r,desc_a,info)
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call psb_geaxpby(-omega,t,done,r,desc_a,info)
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if (psb_check_conv(methdname,itx,x,r,desc_a,stopdat,info)) exit restart
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if (psb_errstatus_fatal()) Then
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call psb_errpush(psb_err_from_subroutine_,name,a_err='X/R update ')
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goto 9999
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End If
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end do iteration
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end do restart
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call psb_end_conv(methdname,itx,desc_a,stopdat,info,derr,iter)
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if (present(err)) err = derr
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deallocate(aux,stat=info)
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call x%sync()
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call psb_gefree(q,desc_a,info)
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call psb_gefree(r,desc_a,info)
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call psb_gefree(p,desc_a,info)
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call psb_gefree(v,desc_a,info)
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call psb_gefree(s,desc_a,info)
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call psb_gefree(t,desc_a,info)
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call psb_gefree(z,desc_a,info)
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call psb_gefree(f,desc_a,info)
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if(psb_errstatus_fatal()) 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 call psb_error_handler(err_act)
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return
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End Subroutine psb_dcgstab_vect
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