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731 lines
26 KiB
Fortran
731 lines
26 KiB
Fortran
!!$
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!!$ Parallel Sparse BLAS version 3.0
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!!$ (C) Copyright 2006, 2007, 2008, 2009, 2010, 2012
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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 C
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!!$ C C
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!!$ C C
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!!$ C [5] G. Sleijpen, D. Fokkema C
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!!$ C BICGSTAB(L) for linear equations involving unsymmetric C
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!!$ C matrices with complex spectrum C
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!!$ C Electronic Trans. on Numer. Analysis, Vol. 1, pp. 11-32, C
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!!$ C Sep. 1993 C
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!!$ C C
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!!$ C C
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!!$ CCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCCC
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! File: psb_zcgstabl.f90
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!
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! Subroutine: psb_zcgstabl
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! Implements the BICGSTAB(L) 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_zspmat_type) Input: sparse matrix containing A.
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! prec - class(psb_zprec_type) Input: preconditioner
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! b(:) - complex Input: vector containing the
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! right hand side B
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! x(:) - complex 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
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! is 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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! irst - integer(optional) Input: restart parameter L
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!
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!
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!
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!!$Subroutine psb_zcgstabl(a,prec,b,x,eps,desc_a,info,itmax,iter,err,itrace,irst,istop)
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!!$ use psb_base_mod
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!!$ use psb_prec_mod
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!!$ use psb_z_krylov_conv_mod
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!!$ use psb_krylov_mod
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!!$ implicit none
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!!$
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!!$! = parameters
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!!$ Type(psb_zspmat_type), Intent(in) :: a
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!!$ class(psb_zprec_type), Intent(in) :: prec
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!!$ Type(psb_desc_type), Intent(in) :: desc_a
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!!$ complex(psb_dpk_), Intent(in) :: b(:)
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!!$ complex(psb_dpk_), 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, irst,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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!!$! = local data
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!!$ complex(psb_dpk_), allocatable, target :: aux(:),wwrk(:,:),uh(:,:), rh(:,:)
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!!$ complex(psb_dpk_), Pointer :: ww(:), q(:), r(:), rt0(:), p(:), v(:), &
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!!$ & s(:), t(:), z(:), f(:), gamma(:), gamma1(:), gamma2(:), taum(:,:), sigma(:)
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!!$
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!!$ integer(psb_ipk_) :: itmax_, naux, mglob, it, itrace_,&
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!!$ & np,me, n_row, n_col, nl, err_act
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!!$ Logical, Parameter :: exchange=.True., noexchange=.False.
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!!$ integer(psb_ipk_), Parameter :: irmax = 8
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!!$ integer(psb_ipk_) :: itx, i, isvch, ictxt,istop_,j, int_err(5)
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!!$ integer(psb_ipk_) :: debug_level, debug_unit
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!!$ complex(psb_dpk_) :: alpha, beta, rho, rho_old, rni, xni, bni, ani,bn2,&
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!!$ & omega
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!!$ type(psb_itconv_type) :: stopdat
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!!$ real(psb_dpk_) :: derr
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!!$ character(len=20) :: name
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!!$ character(len=*), parameter :: methdname='BiCGStab(L)'
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!!$
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!!$ info = psb_success_
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!!$ name = 'psb_zcgstabl'
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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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!!$
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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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!!$
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!!$
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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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!!$
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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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!!$ 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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!!$
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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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!!$
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!!$ if (present(irst)) then
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!!$ nl = irst
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!!$ if (debug_level >= psb_debug_ext_) &
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!!$ & write(debug_unit,*) me,' ',trim(name),&
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!!$ & 'present: irst: ',irst,nl
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!!$ else
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!!$ nl = 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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!!$ & ' not present: irst: ',irst,nl
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!!$ endif
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!!$ if (nl <=0 ) then
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!!$ info=psb_err_invalid_istop_
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!!$ int_err(1)=nl
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!!$ err=info
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!!$ call psb_errpush(info,name,i_err=int_err)
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!!$ goto 9999
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!!$ endif
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!!$
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!!$ call psb_chkvect(mglob,ione,size(x,ione),ione,ione,desc_a,info)
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!!$ if (info == psb_success_) call psb_chkvect(mglob,ione,size(b,ione),ione,ione,desc_a,info)
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!!$ if (info /= psb_success_) 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/B')
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!!$ goto 9999
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!!$ end if
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!!$
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!!$ naux=4*n_col
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!!$ allocate(aux(naux),gamma(0:nl),gamma1(nl),&
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!!$ &gamma2(nl),taum(nl,nl),sigma(nl), stat=info)
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!!$
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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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!!$ if (info == psb_success_) Call psb_geall(wwrk,desc_a,info,n=psb_err_iarg_neg_)
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!!$ if (info == psb_success_) Call psb_geall(uh,desc_a,info,n=nl+1,lb=0)
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!!$ if (info == psb_success_) Call psb_geall(rh,desc_a,info,n=nl+1,lb=0)
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!!$ if (info == psb_success_) Call psb_geasb(wwrk,desc_a,info)
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!!$ if (info == psb_success_) Call psb_geasb(uh,desc_a,info)
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!!$ if (info == psb_success_) Call psb_geasb(rh,desc_a,info)
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!!$ if (info /= psb_success_) 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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!!$
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!!$ q => wwrk(:,1)
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!!$ r => wwrk(:,2)
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!!$ p => wwrk(:,3)
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!!$ v => wwrk(:,4)
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!!$ f => wwrk(:,5)
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!!$ s => wwrk(:,6)
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!!$ t => wwrk(:,7)
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!!$ z => wwrk(:,8)
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!!$ ww => wwrk(:,9)
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!!$ rt0 => wwrk(:,10)
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!!$
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!!$
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!!$ call psb_init_conv(methdname,istop_,itrace_,itmax_,a,b,eps,desc_a,stopdat,info)
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!!$ if (info /= psb_success_) 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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!!$
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!!$ itx = 0
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!!$ restart: do
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!!$! =
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!!$! = r0 = b-ax0
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!!$! =
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!!$ if (debug_level >= psb_debug_ext_) &
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!!$ & write(debug_unit,*) me,' ',trim(name),' restart: ',itx,it
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!!$ if (itx >= itmax_) exit restart
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!!$
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!!$ it = 0
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!!$ call psb_geaxpby(zone,b,zzero,r,desc_a,info)
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!!$ if (info == psb_success_) call psb_spmm(-zone,a,x,zone,r,desc_a,info,work=aux)
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!!$
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!!$ if (info == psb_success_) call prec%apply(r,desc_a,info)
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!!$
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!!$ if (info == psb_success_) call psb_geaxpby(zone,r,zzero,rt0,desc_a,info)
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!!$ if (info == psb_success_) call psb_geaxpby(zone,r,zzero,rh(:,0),desc_a,info)
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!!$ if (info == psb_success_) call psb_geaxpby(zzero,r,zzero,uh(:,0),desc_a,info)
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!!$ if (info /= psb_success_) 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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!!$
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!!$ rho = zone
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!!$ alpha = zzero
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!!$ omega = zone
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!!$
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!!$ if (debug_level >= psb_debug_ext_) &
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!!$ & write(debug_unit,*) me,' ',trim(name),&
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!!$ & ' on entry to amax: b: ',Size(b)
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!!$
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!!$ if (psb_check_conv(methdname,itx,x,r,desc_a,stopdat,info)) exit restart
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!!$ if (info /= psb_success_) 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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!!$
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!!$ iteration: do
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!!$ it = it + nl
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!!$ itx = itx + nl
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!!$ rho = -omega*rho
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!!$
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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, rho,rh(1,0)
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!!$
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!!$ do j = 0, nl -1
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!!$ If (debug_level >= psb_debug_ext_) &
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!!$ & write(debug_unit,*) me,' ',trim(name),'bicg part: ',j, nl
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!!$
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!!$ rho_old = rho
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!!$ rho = psb_gedot(rh(:,j),rt0,desc_a,info)
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!!$ if (rho == zzero) 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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!!$ & ' bi-cgstab iteration breakdown r',rho
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!!$ exit iteration
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!!$ endif
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!!$
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!!$ beta = alpha*rho/rho_old
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!!$ rho_old = rho
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!!$ call psb_geaxpby(zone,rh(:,0:j),-beta,uh(:,0:j),desc_a,info)
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!!$ call psb_spmm(zone,a,uh(:,j),zzero,uh(:,j+1),desc_a,info,work=aux)
|
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!!$
|
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!!$ call prec%apply(uh(:,j+1),desc_a,info)
|
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!!$
|
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!!$ gamma(j) = psb_gedot(uh(:,j+1),rt0,desc_a,info)
|
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!!$
|
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!!$ if (gamma(j) == zzero) 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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!!$ & ' bi-cgstab iteration breakdown s2',gamma(j)
|
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!!$ exit iteration
|
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!!$ endif
|
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!!$ alpha = rho/gamma(j)
|
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!!$ if (debug_level >= psb_debug_ext_) &
|
|
!!$ & write(debug_unit,*) me,' ',trim(name),&
|
|
!!$ & ' bicg part: alpha=r/g ',alpha,rho,gamma(j)
|
|
!!$
|
|
!!$ call psb_geaxpby(-alpha,uh(:,1:j+1),zone,rh(:,0:j),desc_a,info)
|
|
!!$ call psb_geaxpby(alpha,uh(:,0),zone,x,desc_a,info)
|
|
!!$ call psb_spmm(zone,a,rh(:,j),zzero,rh(:,j+1),desc_a,info,work=aux)
|
|
!!$
|
|
!!$ call prec%apply(rh(:,j+1),desc_a,info)
|
|
!!$
|
|
!!$ enddo
|
|
!!$
|
|
!!$ do j=1, nl
|
|
!!$ if (debug_level >= psb_debug_ext_) &
|
|
!!$ & write(debug_unit,*) me,' ',trim(name),&
|
|
!!$ & ' mod g-s part: ',j, nl,rh(1,0)
|
|
!!$
|
|
!!$ do i=1, j-1
|
|
!!$ taum(i,j) = psb_gedot(rh(:,i),rh(:,j),desc_a,info)
|
|
!!$ taum(i,j) = taum(i,j)/sigma(i)
|
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!!$ call psb_geaxpby(-taum(i,j),rh(:,i),zone,rh(:,j),desc_a,info)
|
|
!!$ enddo
|
|
!!$ sigma(j) = psb_gedot(rh(:,j),rh(:,j),desc_a,info)
|
|
!!$ gamma1(j) = psb_gedot(rh(:,0),rh(:,j),desc_a,info)
|
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!!$ gamma1(j) = gamma1(j)/sigma(j)
|
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!!$ enddo
|
|
!!$
|
|
!!$ gamma(nl) = gamma1(nl)
|
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!!$ omega = gamma(nl)
|
|
!!$
|
|
!!$ do j=nl-1,1,-1
|
|
!!$ gamma(j) = gamma1(j)
|
|
!!$ do i=j+1,nl
|
|
!!$ gamma(j) = gamma(j) - taum(j,i) * gamma(i)
|
|
!!$ enddo
|
|
!!$ enddo
|
|
!!$
|
|
!!$ do j=1,nl-1
|
|
!!$ gamma2(j) = gamma(j+1)
|
|
!!$ do i=j+1,nl-1
|
|
!!$ gamma2(j) = gamma2(j) + taum(j,i) * gamma(i+1)
|
|
!!$ enddo
|
|
!!$ enddo
|
|
!!$
|
|
!!$ call psb_geaxpby(gamma(1),rh(:,0),zone,x,desc_a,info)
|
|
!!$ call psb_geaxpby(-gamma1(nl),rh(:,nl),zone,rh(:,0),desc_a,info)
|
|
!!$ call psb_geaxpby(-gamma(nl),uh(:,nl),zone,uh(:,0),desc_a,info)
|
|
!!$
|
|
!!$ do j=1, nl-1
|
|
!!$ call psb_geaxpby(-gamma(j),uh(:,j),zone,uh(:,0),desc_a,info)
|
|
!!$ call psb_geaxpby(gamma2(j),rh(:,j),zone,x,desc_a,info)
|
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!!$ call psb_geaxpby(-gamma1(j),rh(:,j),zone,rh(:,0),desc_a,info)
|
|
!!$ enddo
|
|
!!$
|
|
!!$ if (psb_check_conv(methdname,itx,x,rh(:,0),desc_a,stopdat,info)) exit restart
|
|
!!$ if (info /= psb_success_) Then
|
|
!!$ call psb_errpush(psb_err_from_subroutine_non_,name)
|
|
!!$ goto 9999
|
|
!!$ End If
|
|
!!$
|
|
!!$ end do iteration
|
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!!$ end do restart
|
|
!!$
|
|
!!$ call psb_end_conv(methdname,itx,desc_a,stopdat,info,derr,iter)
|
|
!!$
|
|
!!$ if (present(err)) then
|
|
!!$ err = derr
|
|
!!$ end if
|
|
!!$
|
|
!!$ deallocate(aux,stat=info)
|
|
!!$ if (info == psb_success_) call psb_gefree(wwrk,desc_a,info)
|
|
!!$ if (info == psb_success_) call psb_gefree(uh,desc_a,info)
|
|
!!$ if (info == psb_success_) call psb_gefree(rh,desc_a,info)
|
|
!!$ if (info /= psb_success_) 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 == psb_act_abort_) then
|
|
!!$ call psb_error()
|
|
!!$ return
|
|
!!$ end if
|
|
!!$ return
|
|
!!$
|
|
!!$End Subroutine psb_zcgstabl
|
|
!!$
|
|
|
|
|
|
Subroutine psb_zcgstabl_vect(a,prec,b,x,eps,desc_a,info,&
|
|
& itmax,iter,err,itrace,irst,istop)
|
|
use psb_base_mod
|
|
use psb_prec_mod
|
|
use psb_z_krylov_conv_mod
|
|
use psb_krylov_mod
|
|
implicit none
|
|
type(psb_zspmat_type), intent(in) :: a
|
|
class(psb_zprec_type), Intent(inout) :: prec
|
|
Type(psb_desc_type), Intent(in) :: desc_a
|
|
type(psb_z_vect_type), Intent(inout) :: b
|
|
type(psb_z_vect_type), Intent(inout) :: x
|
|
Real(psb_dpk_), Intent(in) :: eps
|
|
integer(psb_ipk_), intent(out) :: info
|
|
integer(psb_ipk_), Optional, Intent(in) :: itmax, itrace, irst,istop
|
|
integer(psb_ipk_), Optional, Intent(out) :: iter
|
|
Real(psb_dpk_), Optional, Intent(out) :: err
|
|
! = local data
|
|
complex(psb_dpk_), allocatable, target :: aux(:), gamma(:),&
|
|
& gamma1(:), gamma2(:), taum(:,:), sigma(:)
|
|
type(psb_z_vect_type), allocatable, target :: wwrk(:),uh(:), rh(:)
|
|
type(psb_z_vect_type), Pointer :: ww, q, r, rt0, p, v, &
|
|
& s, t, z, f
|
|
|
|
integer(psb_ipk_) :: itmax_, naux, mglob, it, itrace_,&
|
|
& n_row, n_col, nl, err_act
|
|
Logical, Parameter :: exchange=.True., noexchange=.False.
|
|
integer(psb_ipk_), Parameter :: irmax = 8
|
|
integer(psb_ipk_) :: itx, i, istop_,j, k, int_err(5)
|
|
integer(psb_ipk_) :: debug_level, debug_unit
|
|
integer(psb_ipk_) :: ictxt, np, me
|
|
complex(psb_dpk_) :: alpha, beta, rho, rho_old, rni, xni, bni, ani,bn2,&
|
|
& omega
|
|
real(psb_dpk_) :: derr
|
|
type(psb_itconv_type) :: stopdat
|
|
character(len=20) :: name
|
|
character(len=*), parameter :: methdname='BiCGStab(L)'
|
|
|
|
info = psb_success_
|
|
name = 'psb_zcgstabl'
|
|
call psb_erractionsave(err_act)
|
|
debug_unit = psb_get_debug_unit()
|
|
debug_level = psb_get_debug_level()
|
|
|
|
ictxt = desc_a%get_context()
|
|
Call psb_info(ictxt, me, np)
|
|
if (debug_level >= psb_debug_ext_)&
|
|
& write(debug_unit,*) me,' ',trim(name),': from psb_info',np
|
|
if (.not.allocated(x%v)) then
|
|
info = psb_err_invalid_vect_state_
|
|
call psb_errpush(info,name)
|
|
goto 9999
|
|
endif
|
|
if (.not.allocated(b%v)) then
|
|
info = psb_err_invalid_vect_state_
|
|
call psb_errpush(info,name)
|
|
goto 9999
|
|
endif
|
|
|
|
|
|
mglob = desc_a%get_global_rows()
|
|
n_row = desc_a%get_local_rows()
|
|
n_col = desc_a%get_local_cols()
|
|
|
|
if (present(istop)) then
|
|
istop_ = istop
|
|
else
|
|
istop_ = 2
|
|
endif
|
|
|
|
if (present(itmax)) then
|
|
itmax_ = itmax
|
|
else
|
|
itmax_ = 1000
|
|
endif
|
|
|
|
if (present(itrace)) then
|
|
itrace_ = itrace
|
|
else
|
|
itrace_ = 0
|
|
end if
|
|
|
|
if (present(irst)) then
|
|
nl = irst
|
|
if (debug_level >= psb_debug_ext_) &
|
|
& write(debug_unit,*) me,' ',trim(name),&
|
|
& 'present: irst: ',irst,nl
|
|
else
|
|
nl = 1
|
|
if (debug_level >= psb_debug_ext_) &
|
|
& write(debug_unit,*) me,' ',trim(name),&
|
|
& ' not present: irst: ',irst,nl
|
|
endif
|
|
if (nl <=0 ) then
|
|
info=psb_err_invalid_istop_
|
|
int_err(1)=nl
|
|
err=info
|
|
call psb_errpush(info,name,i_err=int_err)
|
|
goto 9999
|
|
endif
|
|
|
|
call psb_chkvect(mglob,ione,x%get_nrows(),ione,ione,desc_a,info)
|
|
if (info == psb_success_) call psb_chkvect(mglob,ione,b%get_nrows(),ione,ione,desc_a,info)
|
|
if (info /= psb_success_) then
|
|
info=psb_err_from_subroutine_
|
|
call psb_errpush(info,name,a_err='psb_chkvect on X/B')
|
|
goto 9999
|
|
end if
|
|
|
|
naux=4*n_col
|
|
allocate(aux(naux),gamma(0:nl),gamma1(nl),&
|
|
&gamma2(nl),taum(nl,nl),sigma(nl), stat=info)
|
|
|
|
if (info /= psb_success_) then
|
|
info=psb_err_alloc_dealloc_
|
|
call psb_errpush(info,name)
|
|
goto 9999
|
|
end if
|
|
if (info == psb_success_) Call psb_geall(wwrk,desc_a,info,n=10_psb_ipk_)
|
|
if (info == psb_success_) Call psb_geall(uh,desc_a,info,n=nl+1,lb=izero)
|
|
if (info == psb_success_) Call psb_geall(rh,desc_a,info,n=nl+1,lb=izero)
|
|
if (info == psb_success_) Call psb_geasb(wwrk,desc_a,info,mold=x%v)
|
|
if (info == psb_success_) Call psb_geasb(uh,desc_a,info,mold=x%v)
|
|
if (info == psb_success_) Call psb_geasb(rh,desc_a,info,mold=x%v)
|
|
if (info /= psb_success_) then
|
|
info=psb_err_from_subroutine_non_
|
|
call psb_errpush(info,name)
|
|
goto 9999
|
|
end if
|
|
|
|
q => wwrk(1)
|
|
r => wwrk(2)
|
|
p => wwrk(3)
|
|
v => wwrk(4)
|
|
f => wwrk(5)
|
|
s => wwrk(6)
|
|
t => wwrk(7)
|
|
z => wwrk(8)
|
|
ww => wwrk(9)
|
|
rt0 => wwrk(10)
|
|
|
|
|
|
call psb_init_conv(methdname,istop_,itrace_,itmax_,a,b,eps,desc_a,stopdat,info)
|
|
if (info /= psb_success_) Then
|
|
call psb_errpush(psb_err_from_subroutine_non_,name)
|
|
goto 9999
|
|
End If
|
|
|
|
itx = 0
|
|
restart: do
|
|
! =
|
|
! = r0 = b-ax0
|
|
! =
|
|
if (debug_level >= psb_debug_ext_) &
|
|
& write(debug_unit,*) me,' ',trim(name),' restart: ',itx,it
|
|
if (itx >= itmax_) exit restart
|
|
|
|
it = 0
|
|
call psb_geaxpby(zone,b,zzero,r,desc_a,info)
|
|
if (info == psb_success_) call psb_spmm(-zone,a,x,zone,r,desc_a,info,work=aux)
|
|
|
|
if (info == psb_success_) call prec%apply(r,desc_a,info)
|
|
|
|
if (info == psb_success_) call psb_geaxpby(zone,r,zzero,rt0,desc_a,info)
|
|
if (info == psb_success_) call psb_geaxpby(zone,r,zzero,rh(0),desc_a,info)
|
|
if (info == psb_success_) call psb_geaxpby(zzero,r,zzero,uh(0),desc_a,info)
|
|
if (info /= psb_success_) then
|
|
info=psb_err_from_subroutine_non_
|
|
call psb_errpush(info,name)
|
|
goto 9999
|
|
end if
|
|
|
|
rho = zone
|
|
alpha = zzero
|
|
omega = zone
|
|
|
|
if (debug_level >= psb_debug_ext_) &
|
|
& write(debug_unit,*) me,' ',trim(name),&
|
|
& ' on entry to amax: b: ',b%get_nrows()
|
|
|
|
if (psb_check_conv(methdname,itx,x,r,desc_a,stopdat,info)) exit restart
|
|
if (info /= psb_success_) Then
|
|
call psb_errpush(psb_err_from_subroutine_non_,name)
|
|
goto 9999
|
|
End If
|
|
|
|
iteration: do
|
|
it = it + nl
|
|
itx = itx + nl
|
|
rho = -omega*rho
|
|
|
|
if (debug_level >= psb_debug_ext_) &
|
|
& write(debug_unit,*) me,' ',trim(name),&
|
|
& ' iteration: ',itx, rho
|
|
|
|
do j = 0, nl -1
|
|
If (debug_level >= psb_debug_ext_) &
|
|
& write(debug_unit,*) me,' ',trim(name),'bicg part: ',j, nl
|
|
|
|
rho_old = rho
|
|
rho = psb_gedot(rh(j),rt0,desc_a,info)
|
|
if (rho == zzero) then
|
|
if (debug_level >= psb_debug_ext_) &
|
|
& write(debug_unit,*) me,' ',trim(name),&
|
|
& ' bi-cgstab iteration breakdown r',rho
|
|
exit iteration
|
|
endif
|
|
|
|
beta = alpha*rho/rho_old
|
|
rho_old = rho
|
|
do k=0, j
|
|
! = call psb_geaxpby(zone,rh(:,0:j),-beta,uh(:,0:j),desc_a,info)
|
|
call psb_geaxpby(zone,rh(k),-beta,uh(k),desc_a,info)
|
|
end do
|
|
call psb_spmm(zone,a,uh(j),zzero,uh(j+1),desc_a,info,work=aux)
|
|
|
|
call prec%apply(uh(j+1),desc_a,info)
|
|
|
|
gamma(j) = psb_gedot(uh(j+1),rt0,desc_a,info)
|
|
|
|
if (gamma(j) == zzero) then
|
|
if (debug_level >= psb_debug_ext_) &
|
|
& write(debug_unit,*) me,' ',trim(name),&
|
|
& ' bi-cgstab iteration breakdown s2',gamma(j)
|
|
exit iteration
|
|
endif
|
|
alpha = rho/gamma(j)
|
|
if (debug_level >= psb_debug_ext_) &
|
|
& write(debug_unit,*) me,' ',trim(name),&
|
|
& ' bicg part: alpha=r/g ',alpha,rho,gamma(j)
|
|
|
|
do k=0,j
|
|
! = call psb_geaxpby(-alpha,uh(:,1:j+1),zone,rh(:,0:j),desc_a,info)
|
|
call psb_geaxpby(-alpha,uh(k+1),zone,rh(k),desc_a,info)
|
|
end do
|
|
call psb_geaxpby(alpha,uh(0),zone,x,desc_a,info)
|
|
call psb_spmm(zone,a,rh(j),zzero,rh(j+1),desc_a,info,work=aux)
|
|
|
|
call prec%apply(rh(j+1),desc_a,info)
|
|
|
|
enddo
|
|
|
|
do j=1, nl
|
|
if (debug_level >= psb_debug_ext_) &
|
|
& write(debug_unit,*) me,' ',trim(name),&
|
|
& ' mod g-s part: ',j, nl
|
|
|
|
do i=1, j-1
|
|
taum(i,j) = psb_gedot(rh(i),rh(j),desc_a,info)
|
|
taum(i,j) = taum(i,j)/sigma(i)
|
|
call psb_geaxpby(-taum(i,j),rh(i),zone,rh(j),desc_a,info)
|
|
enddo
|
|
sigma(j) = psb_gedot(rh(j),rh(j),desc_a,info)
|
|
gamma1(j) = psb_gedot(rh(0),rh(j),desc_a,info)
|
|
gamma1(j) = gamma1(j)/sigma(j)
|
|
enddo
|
|
|
|
gamma(nl) = gamma1(nl)
|
|
omega = gamma(nl)
|
|
|
|
do j=nl-1,1,-1
|
|
gamma(j) = gamma1(j)
|
|
do i=j+1,nl
|
|
gamma(j) = gamma(j) - taum(j,i) * gamma(i)
|
|
enddo
|
|
enddo
|
|
|
|
do j=1,nl-1
|
|
gamma2(j) = gamma(j+1)
|
|
do i=j+1,nl-1
|
|
gamma2(j) = gamma2(j) + taum(j,i) * gamma(i+1)
|
|
enddo
|
|
enddo
|
|
|
|
call psb_geaxpby(gamma(1),rh(0),zone,x,desc_a,info)
|
|
call psb_geaxpby(-gamma1(nl),rh(nl),zone,rh(0),desc_a,info)
|
|
call psb_geaxpby(-gamma(nl),uh(nl),zone,uh(0),desc_a,info)
|
|
|
|
do j=1, nl-1
|
|
call psb_geaxpby(-gamma(j),uh(j),zone,uh(0),desc_a,info)
|
|
call psb_geaxpby(gamma2(j),rh(j),zone,x,desc_a,info)
|
|
call psb_geaxpby(-gamma1(j),rh(j),zone,rh(0),desc_a,info)
|
|
enddo
|
|
|
|
if (psb_check_conv(methdname,itx,x,rh(0),desc_a,stopdat,info)) exit restart
|
|
if (info /= psb_success_) Then
|
|
call psb_errpush(psb_err_from_subroutine_non_,name)
|
|
goto 9999
|
|
End If
|
|
|
|
end do iteration
|
|
end do restart
|
|
|
|
call psb_end_conv(methdname,itx,desc_a,stopdat,info,derr,iter)
|
|
if (present(err)) err = derr
|
|
|
|
if (info == psb_success_) call psb_gefree(uh,desc_a,info)
|
|
if (info == psb_success_) call psb_gefree(rh,desc_a,info)
|
|
if (info == psb_success_) call psb_gefree(wwrk,desc_a,info)
|
|
if (info == psb_success_) deallocate(aux,stat=info)
|
|
if (info /= psb_success_) 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 == psb_act_abort_) then
|
|
call psb_error()
|
|
return
|
|
end if
|
|
return
|
|
|
|
End Subroutine psb_zcgstabl_vect
|
|
|
|
|
|
|