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726 lines
25 KiB
Fortran
726 lines
25 KiB
Fortran
!!$
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!!$ Parallel Sparse BLAS version 3.0
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!!$ (C) Copyright 2006, 2007, 2008, 2009, 2010
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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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! 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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!
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!
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!!$Subroutine psb_dcgstab(a,prec,b,x,eps,desc_a,info,itmax,iter,err,itrace,istop)
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!!$ use psb_base_mod
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!!$ use psb_prec_mod
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!!$ use psb_d_inner_krylov_mod
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!!$ use psb_krylov_mod
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!!$ implicit none
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!!$
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!!$ type(psb_dspmat_type), intent(in) :: a
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!!$ class(psb_dprec_type), Intent(in) :: prec
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!!$ Type(psb_desc_type), Intent(in) :: desc_a
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!!$ Real(psb_dpk_), Intent(in) :: b(:)
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!!$ Real(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, 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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!!$ Real(psb_dpk_), Pointer :: q(:),&
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!!$ & r(:), p(:), v(:), s(:), t(:), z(:), f(:)
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!!$ integer(psb_ipk_) :: itmax_, naux, mglob, it,itrace_,&
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!!$ & np,me, 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, isvch, ictxt, err_act, i
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!!$ integer(psb_ipk_) :: istop_
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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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!!$
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!!$#ifdef MPE_KRYLOV
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!!$ include "mpe_logf.h"
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!!$ Integer istpb, istpe, ifctb, ifcte, imerr, irank, icomm,immb,imme
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!!$#endif
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!!$ character(len=20) :: name
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!!$ character(len=*), parameter :: methdname='BiCGStab'
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!!$
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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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!!$
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!!$#ifdef MPE_KRYLOV
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!!$! !$ call psb_get_mpicomm(ictxt,icomm)
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!!$! !$ call psb_get_rank(irank,icomm,me)
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!!$ imerr = MPE_Log_get_state_eventIDs(istpb,istpe)
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!!$ imerr = MPE_Log_get_state_eventIDs(ifctb,ifcte)
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!!$ imerr = MPE_Log_get_state_eventIDs(immb,imme)
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!!$
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!!$ if (me == 0) then
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!!$ info = mpe_describe_state(istpb,istpe,"Solver","WhiteSmoke")
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!!$ info = mpe_describe_state(ifctb,ifcte,"PREC","SteelBlue")
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!!$ info = mpe_describe_state(immb,imme,"SPMM","DarkOrange")
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!!$ endif
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!!$ call psb_barrier(ictxt)
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!!$ call mpi_Pcontrol(1,info)
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!!$#endif
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!!$
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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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!!$ ! 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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!!$
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!!$#ifdef MPE_KRYLOV
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!!$ imerr = MPE_Log_event( istpb, 0, "st CGSTAB" )
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!!$#endif
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!!$
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!!$
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!!$ call psb_chkvect(mglob,1,size(x,1),1,1,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')
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!!$ goto 9999
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!!$ end if
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!!$ call psb_chkvect(mglob,1,size(b,1),1,1,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 B')
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!!$ goto 9999
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!!$ end if
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!!$
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!!$ naux=6*n_col
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!!$ allocate(aux(naux),stat=info)
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!!$ if (info == psb_success_) call psb_geall(wwrk,desc_a,info,n=8)
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!!$ if (info == psb_success_) call psb_geasb(wwrk,desc_a,info)
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!!$
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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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!!$
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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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!!$
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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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!!$
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!!$ restart: Do
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!!$
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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(done,b,dzero,r,desc_a,info)
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!!$#ifdef MPE_KRYLOV
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!!$ imerr = MPE_Log_event( immb, 0, "st SPMM" )
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!!$#endif
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!!$ if (info == psb_success_) call psb_spmm(-done,a,x,done,r,desc_a,info,work=aux)
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!!$#ifdef MPE_KRYLOV
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!!$ imerr = MPE_Log_event( imme, 0, "ed SPMM" )
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!!$#endif
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!!$ if (info == psb_success_) call psb_geaxpby(done,r,dzero,q,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='Init residual')
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!!$ goto 9999
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!!$ end if
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!!$
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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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!!$ 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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!!$ rho = dzero
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!!$
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!!$ iteration: Do
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!!$ it = it + 1
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!!$ itx = itx + 1
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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
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!!$
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!!$ rho_old = rho
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!!$ rho = psb_gedot(q,r,desc_a,info)
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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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!!$ & ' Rho: ',rho
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!!$
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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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!!$
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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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!!$
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!!$#ifdef MPE_KRYLOV
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!!$ imerr = MPE_Log_event( ifctb, 0, "st PREC" )
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!!$#endif
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!!$ if (debug_level >= psb_debug_inner_) write(0,*) 'P: ',p
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!!$ call prec%apply(p,f,desc_a,info,work=aux)
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!!$ if (debug_level >= psb_debug_inner_) write(0,*) 'F: ',f
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!!$#ifdef MPE_KRYLOV
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!!$ imerr = MPE_Log_event( ifcte, 0, "ed PREC" )
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!!$ imerr = MPE_Log_event( immb, 0, "st SPMM" )
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!!$#endif
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!!$ call psb_spmm(done,a,f,dzero,v,desc_a,info,&
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!!$ & work=aux)
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!!$ if (debug_level >= psb_debug_inner_) write(0,*) 'Q: ',q
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!!$ if (debug_level >= psb_debug_inner_) write(0,*) 'V: ',v
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!!$
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!!$#ifdef MPE_KRYLOV
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!!$ imerr = MPE_Log_event( imme, 0, "ed SPMM" )
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!!$#endif
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!!$
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!!$ sigma = psb_gedot(q,v,desc_a,info)
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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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!!$ & ' 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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!!$
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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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!!$ if (info == psb_success_) 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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!!$
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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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!!$
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!!$#ifdef MPE_KRYLOV
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!!$ imerr = MPE_Log_event( ifctb, 0, "st PREC" )
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!!$#endif
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!!$ call prec%apply(s,z,desc_a,info,work=aux)
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!!$
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!!$#ifdef MPE_KRYLOV
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!!$ imerr = MPE_Log_event( ifcte, 0, "ed PREC" )
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!!$ imerr = MPE_Log_event( immb, 0, "st SPMM" )
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!!$#endif
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!!$ if (info == psb_success_) Call psb_spmm(done,a,z,dzero,t,desc_a,info,&
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!!$ & work=aux)
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!!$
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!!$#ifdef MPE_KRYLOV
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!!$ imerr = MPE_Log_event( imme, 0, "ed SPMM" )
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!!$#endif
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!!$ 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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!!$
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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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!!$
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!!$ tau = psb_gedot(t,s,desc_a,info)
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!!$ omega = tau/sigma
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!!$
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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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!!$ & ' 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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!!$
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!!$ call psb_geaxpby(alpha,f,done,x,desc_a,info)
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!!$ if (info == psb_success_) call psb_geaxpby(omega,z,done,x,desc_a,info)
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!!$ if (info == psb_success_) call psb_geaxpby(done,s,dzero,r,desc_a,info)
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!!$ if (info == psb_success_) call psb_geaxpby(-omega,t,done,r,desc_a,info)
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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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!!$
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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_non_,name)
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!!$ goto 9999
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!!$ End If
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!!$
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!!$ end do iteration
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!!$ end do restart
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!!$
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!!$ call psb_end_conv(methdname,itx,desc_a,stopdat,info,err,iter)
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!!$
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!!$ deallocate(aux,stat=info)
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!!$ call psb_gefree(wwrk,desc_a,info)
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!!$ if((info /= 0).or.(psb_errstatus_fatal())) then
|
|
!!$ call psb_errpush(info,name)
|
|
!!$ goto 9999
|
|
!!$ end if
|
|
!!$#ifdef MPE_KRYLOV
|
|
!!$ imerr = MPE_Log_event( istpe, 0, "ed CGSTAB" )
|
|
!!$ call mpi_Pcontrol(2,info)
|
|
!!$ call mpi_Pcontrol(0,info)
|
|
!!$#endif
|
|
!!$
|
|
!!$ call psb_erractionrestore(err_act)
|
|
!!$ return
|
|
!!$
|
|
!!$9999 continue
|
|
!!$ call psb_erractionrestore(err_act)
|
|
!!$ if (err_act == psb_act_abort_) then
|
|
!!$ call psb_error(ictxt)
|
|
!!$ return
|
|
!!$ end if
|
|
!!$ return
|
|
!!$
|
|
!!$End Subroutine psb_dcgstab
|
|
|
|
|
|
Subroutine psb_dcgstab_vect(a,prec,b,x,eps,desc_a,info,itmax,iter,err,itrace,istop)
|
|
use psb_base_mod
|
|
use psb_prec_mod
|
|
use psb_d_inner_krylov_mod
|
|
use psb_krylov_mod
|
|
implicit none
|
|
type(psb_dspmat_type), intent(in) :: a
|
|
class(psb_dprec_type), Intent(inout) :: prec
|
|
Type(psb_desc_type), Intent(in) :: desc_a
|
|
type(psb_d_vect_type), Intent(inout) :: b
|
|
type(psb_d_vect_type), Intent(inout) :: x
|
|
Real(psb_dpk_), Intent(in) :: eps
|
|
integer(psb_ipk_), intent(out) :: info
|
|
integer(psb_ipk_), Optional, Intent(in) :: itmax, itrace, istop
|
|
integer(psb_ipk_), Optional, Intent(out) :: iter
|
|
Real(psb_dpk_), Optional, Intent(out) :: err
|
|
!!$ Local data
|
|
Real(psb_dpk_), allocatable, target :: aux(:),wwrk(:,:)
|
|
type(psb_d_vect_type) :: q, r, p, v, s, t, z, f
|
|
|
|
integer(psb_ipk_) :: itmax_, naux, mglob, it,itrace_,&
|
|
& np,me, n_row, n_col
|
|
integer(psb_ipk_) :: debug_level, debug_unit
|
|
Logical, Parameter :: exchange=.True., noexchange=.False., debug1 = .False.
|
|
integer(psb_ipk_), Parameter :: irmax = 8
|
|
integer(psb_ipk_) :: itx, isvch, ictxt, err_act, i
|
|
integer(psb_ipk_) :: istop_
|
|
Real(psb_dpk_) :: alpha, beta, rho, rho_old, sigma, omega, tau
|
|
type(psb_itconv_type) :: stopdat
|
|
real(psb_dpk_), external :: ddot
|
|
|
|
character(len=20) :: name
|
|
character(len=*), parameter :: methdname='BiCGStab'
|
|
|
|
info = psb_success_
|
|
name = 'psb_dcgstab'
|
|
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
|
|
!
|
|
! ISTOP_ = 1: Normwise backward error, infinity norm
|
|
! ISTOP_ = 2: ||r||/||b|| norm 2
|
|
!
|
|
!!$ if (.not.same_type_as(x,b)) then
|
|
!!$ write(0,*) 'Warning: different dynamic types for X and B '
|
|
!!$ end if
|
|
|
|
call psb_chkvect(mglob,1,x%get_nrows(),1,1,desc_a,info)
|
|
if (psb_errstatus_fatal()) then
|
|
info=psb_err_from_subroutine_
|
|
call psb_errpush(info,name,a_err='psb_chkvect on X')
|
|
goto 9999
|
|
end if
|
|
call psb_chkvect(mglob,1,b%get_nrows(),1,1,desc_a,info)
|
|
if (psb_errstatus_fatal()) then
|
|
info=psb_err_from_subroutine_
|
|
call psb_errpush(info,name,a_err='psb_chkvect on B')
|
|
goto 9999
|
|
end if
|
|
naux=6*n_col
|
|
if (info == psb_success_) allocate(aux(naux),stat=info)
|
|
if (info /= psb_success_) then
|
|
info=psb_err_alloc_dealloc_
|
|
call psb_errpush(info,name)
|
|
goto 9999
|
|
End If
|
|
|
|
|
|
call psb_geasb(q,desc_a,info,mold=x%v,scratch=.true.)
|
|
call psb_geasb(r,desc_a,info,mold=x%v,scratch=.true.)
|
|
call psb_geasb(p,desc_a,info,mold=x%v,scratch=.true.)
|
|
call psb_geasb(v,desc_a,info,mold=x%v,scratch=.true.)
|
|
call psb_geasb(s,desc_a,info,mold=x%v,scratch=.true.)
|
|
call psb_geasb(t,desc_a,info,mold=x%v,scratch=.true.)
|
|
call psb_geasb(z,desc_a,info,mold=x%v,scratch=.true.)
|
|
call psb_geasb(f,desc_a,info,mold=x%v,scratch=.true.)
|
|
|
|
|
|
if (psb_errstatus_fatal()) then
|
|
info=psb_err_from_subroutine_non_
|
|
call psb_errpush(info,name)
|
|
goto 9999
|
|
End If
|
|
|
|
If (Present(itmax)) Then
|
|
itmax_ = itmax
|
|
Else
|
|
itmax_ = 1000
|
|
Endif
|
|
|
|
If (Present(itrace)) Then
|
|
itrace_ = itrace
|
|
Else
|
|
itrace_ = 0
|
|
End If
|
|
|
|
itx = 0
|
|
call psb_init_conv(methdname,istop_,itrace_,itmax_,a,b,eps,desc_a,stopdat,info)
|
|
if (psb_errstatus_fatal()) Then
|
|
call psb_errpush(psb_err_from_subroutine_non_,name)
|
|
goto 9999
|
|
End If
|
|
|
|
restart: Do
|
|
|
|
if (itx >= itmax_) exit restart
|
|
|
|
it = 0
|
|
call psb_geaxpby(done,b,dzero,r,desc_a,info)
|
|
|
|
call psb_spmm(-done,a,x,done,r,desc_a,info,work=aux)
|
|
call psb_geaxpby(done,r,dzero,q,desc_a,info)
|
|
|
|
! Perhaps we already satisfy the convergence criterion...
|
|
if (psb_check_conv(methdname,itx,x,r,desc_a,stopdat,info)) exit restart
|
|
|
|
if (psb_errstatus_fatal()) then
|
|
info=psb_err_from_subroutine_
|
|
call psb_errpush(info,name,a_err='Init residual chk')
|
|
goto 9999
|
|
end if
|
|
|
|
|
|
rho = dzero
|
|
|
|
iteration: Do
|
|
it = it + 1
|
|
itx = itx + 1
|
|
|
|
if (debug_level >= psb_debug_ext_)&
|
|
& write(debug_unit,*) me,' ',trim(name),&
|
|
& ' Iteration: ',itx
|
|
|
|
rho_old = rho
|
|
rho = psb_gedot(q,r,desc_a,info)
|
|
|
|
if (debug_level >= psb_debug_ext_) then
|
|
call q%sync()
|
|
call r%sync()
|
|
end if
|
|
if (debug_level >= psb_debug_ext_)&
|
|
& write(debug_unit,*) me,' ',trim(name),&
|
|
& ' Rho: ',rho, ddot(n_row,q%v,1,r%v,1)
|
|
|
|
if (rho == dzero) then
|
|
if (debug_level >= psb_debug_ext_) &
|
|
& write(debug_unit,*) me,' ',trim(name),&
|
|
& ' Iteration breakdown R',rho
|
|
exit iteration
|
|
endif
|
|
|
|
if (it == 1) then
|
|
call psb_geaxpby(done,r,dzero,p,desc_a,info)
|
|
else
|
|
beta = (rho/rho_old)*(alpha/omega)
|
|
call psb_geaxpby(-omega,v,done,p,desc_a,info)
|
|
call psb_geaxpby(done,r,beta,p,desc_a,info)
|
|
End If
|
|
|
|
call prec%apply(p,f,desc_a,info,work=aux)
|
|
|
|
call psb_spmm(done,a,f,dzero,v,desc_a,info,&
|
|
& work=aux)
|
|
|
|
|
|
sigma = psb_gedot(q,v,desc_a,info)
|
|
|
|
if (debug_level >= psb_debug_ext_) then
|
|
call q%sync()
|
|
call v%sync()
|
|
end if
|
|
if (debug_level >= psb_debug_ext_)&
|
|
& write(debug_unit,*) me,' ',trim(name),&
|
|
& ' Sigma: ',sigma, ddot(n_row,q%v,1,v%v,1)
|
|
|
|
|
|
if (sigma == dzero) then
|
|
if (debug_level >= psb_debug_ext_) &
|
|
& write(debug_unit,*) me,' ',trim(name),&
|
|
& ' Iteration breakdown S1', sigma
|
|
exit iteration
|
|
endif
|
|
|
|
alpha = rho/sigma
|
|
call psb_geaxpby(done,r,dzero,s,desc_a,info)
|
|
call psb_geaxpby(-alpha,v,done,s,desc_a,info)
|
|
if (debug_level >= psb_debug_ext_)&
|
|
& write(debug_unit,*) me,' ',trim(name),&
|
|
& ' alpha: ',alpha
|
|
|
|
|
|
if (psb_errstatus_fatal()) then
|
|
call psb_errpush(psb_err_from_subroutine_,name,a_err='psb_geaxpby')
|
|
goto 9999
|
|
end if
|
|
|
|
|
|
call prec%apply(s,z,desc_a,info,work=aux)
|
|
Call psb_spmm(done,a,z,dzero,t,desc_a,info,work=aux)
|
|
|
|
if(psb_errstatus_fatal()) then
|
|
call psb_errpush(psb_err_from_subroutine_,name,a_err='precaply/spmm')
|
|
goto 9999
|
|
end if
|
|
|
|
sigma = psb_gedot(t,t,desc_a,info)
|
|
if (sigma == dzero) then
|
|
if (debug_level >= psb_debug_ext_) &
|
|
& write(debug_unit,*) me,' ',trim(name),&
|
|
& ' Iteration breakdown S2', sigma
|
|
exit iteration
|
|
endif
|
|
|
|
tau = psb_gedot(t,s,desc_a,info)
|
|
omega = tau/sigma
|
|
|
|
if (debug_level >= psb_debug_ext_) then
|
|
call t%sync()
|
|
call s%sync()
|
|
end if
|
|
if (debug_level >= psb_debug_ext_)&
|
|
& write(debug_unit,*) me,' ',trim(name),&
|
|
& ' sigma, tau, omega: ',sigma, tau, omega&
|
|
&, ddot(n_row,t%v,1,t%v,1), ddot(n_row,t%v,1,s%v,1)
|
|
|
|
|
|
if (omega == dzero) then
|
|
if (debug_level >= psb_debug_ext_) &
|
|
& write(debug_unit,*) me,' ',trim(name),&
|
|
& ' Iteration breakdown O',omega
|
|
exit iteration
|
|
endif
|
|
|
|
call psb_geaxpby(alpha,f,done,x,desc_a,info)
|
|
call psb_geaxpby(omega,z,done,x,desc_a,info)
|
|
call psb_geaxpby(done,s,dzero,r,desc_a,info)
|
|
call psb_geaxpby(-omega,t,done,r,desc_a,info)
|
|
if (psb_check_conv(methdname,itx,x,r,desc_a,stopdat,info)) exit restart
|
|
|
|
if (psb_errstatus_fatal()) Then
|
|
call psb_errpush(psb_err_from_subroutine_,name,a_err='X/R update ')
|
|
goto 9999
|
|
End If
|
|
|
|
end do iteration
|
|
end do restart
|
|
|
|
call psb_end_conv(methdname,itx,desc_a,stopdat,info,err,iter)
|
|
|
|
deallocate(aux,stat=info)
|
|
|
|
call x%sync()
|
|
call psb_gefree(q,desc_a,info)
|
|
call psb_gefree(r,desc_a,info)
|
|
call psb_gefree(p,desc_a,info)
|
|
call psb_gefree(v,desc_a,info)
|
|
call psb_gefree(s,desc_a,info)
|
|
call psb_gefree(t,desc_a,info)
|
|
call psb_gefree(z,desc_a,info)
|
|
call psb_gefree(f,desc_a,info)
|
|
|
|
if(psb_errstatus_fatal()) 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(ictxt)
|
|
return
|
|
end if
|
|
return
|
|
|
|
End Subroutine psb_dcgstab_vect
|
|
|