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C
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C Parallel Sparse BLAS version 2.2
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C (C) Copyright 2006/2007/2008
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C Salvatore Filippone University of Rome Tor Vergata
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C Alfredo Buttari University of Rome Tor Vergata
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C
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C Redistribution and use in source and binary forms, with or without
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C modification, are permitted provided that the following conditions
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C are met:
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C 1. Redistributions of source code must retain the above copyright
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C notice, this list of conditions and the following disclaimer.
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C 2. Redistributions in binary form must reproduce the above copyright
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C notice, this list of conditions, and the following disclaimer in the
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C documentation and/or other materials provided with the distribution.
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C 3. The name of the PSBLAS group or the names of its contributors may
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C not be used to endorse or promote products derived from this
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C software without specific written permission.
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C
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C THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
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C ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
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C TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
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C PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE PSBLAS GROUP OR ITS CONTRIBUTORS
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C BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
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C CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
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C SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
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C INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
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C CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
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C ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
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C POSSIBILITY OF SUCH DAMAGE.
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C
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C
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C SUBROUTINE DCSSM(TRANS,M,N,ALPHA,UNITD,D,PL,FIDT,DESCRT,T,IT1,IT2,
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C INFOT,PR,B,LDB,BETA,C,LDC,WORK,LWORK,IERROR)
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C
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C Purpose
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C =======
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C
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C Solving triangular systems of equations with multiple right-hand sides
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C C <-- ALPHA PL D T-1 PR B + BETA C or
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C C <-- ALPHA PL D T-t PR B + BETA C or
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C C <-- ALPHA PL T-1 D PR B + BETA C or
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C C <-- ALPHA PL T-t D PR B + BETA C
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C
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C Parameters
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C ==========
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C
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C TRANS - CHARACTER*1
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C On entry TRANS specifies whether the routine operates with
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C matrix T or with the transpose of T as follows:
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C TRANS = 'N' -> use matrix T
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C TRANS = 'T' or 'C' -> use T' (transpose of matrix T)
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C Unchanged on exit.
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C
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C M - INTEGER
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C On entry: number of rows and columns of matrix Ty
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C and number of rows of matrices B and C.
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C Unchanged on exit.
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C
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C N - INTEGER
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C On entry: number of columns of matrices B and C
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C (number of right-hand sides).
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C Unchanged on exit.
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C
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C ALPHA - DOUBLE PRECISION
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C On entry: multiplicative constant.
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C Unchanged on exit.
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C
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C UNITD - CHARACTER*1
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C On entry UNITD specifies whether the diagonal matrix is unit
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C or whether row or column scaling has to be performed, as follows:
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C UNITD = 'U' -> unit matrix (no scaling)
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C UNITD = 'L' -> scale on the left (row scaling)
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C UNITD = 'R' -> scale on the right (column scaling)
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C UNITD = 'B' -> scale on the right and on the left
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C with D^1/2
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C Unchanged on exit.
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C
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C D - DOUBLE PRECISION array of dimension (M)
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C On entry D specifies the main diagonal of the matrix used
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C for scaling.
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C Unchanged on exit.
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C
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C PL - INTEGER array of dimension (M)
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C On entry PL specifies the row permutation of matrix T
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C (PL(1) == 0 if no permutation).
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C Unchanged on exit.
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C
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C FIDT - CHARACTER*5
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C On entry FIDT defines the format of the input sparse matrix.
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C Unchanged on exit.
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C
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C DESCRT - CHARACTER*1 array of DIMENSION (9)
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C On entry DESCRT describes the characteristics of the input
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C sparse matrix.
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C Unchanged on exit.
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C
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C
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C T - DOUBLE PRECISION array of DIMENSION (*)
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C On entry T specifies the values of the input sparse
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C matrix.
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C Unchanged on exit.
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C
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C IT1 - INTEGER array of dimension (*)
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C On entry IT1 holds integer information on input sparse
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C matrix. Actual information will depend on data format used.
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C Unchanged on exit.
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C
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C IT2 - INTEGER array of dimension (*)
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C On entry IT2 holds integer information on input sparse
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C matrix. Actual information will depend on data format used.
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C Unchanged on exit.
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C
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C INFOT - INTEGER array of dimension (10)
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C On entry can hold auxiliary information on input matrices
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C formats or environment of subsequent calls.
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C Might be changed on exit.
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C
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C PR - INTEGER array of dimension (M)
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C On entry PR specifies the column permutation of matrix T
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C (PR(1) == 0 if no permutation).
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C Unchanged on exit.
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C
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C B - DOUBLE PRECISION array of dimension (LDB,*)
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C On entry: matrix of right-hand sides
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C Unchanged on exit.
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C
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C LDB - INTEGER
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C On entry: leading dimension of B.
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C Unchanged on exit.
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C
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C BETA - DOUBLE PRECISION
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C On entry: multiplicative constant.
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C Unchanged on exit.
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C
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C C - DOUBLE PRECISION array of dimension (LDC,*)
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C On exit: solutions of triangular systems
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C
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C LDC - INTEGER
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C On entry: leading dimension of C.
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C Unchanged on exit.
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C
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C WORK - DOUBLE PRECISION array of dimension (LWORK)
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C On entry: work area.
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C On exit INT(WORK(1)) contains the minimum value
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C for LWORK satisfying DCSSM memory requirements.
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C
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C LWORK - INTEGER
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C On entry LWORK specifies the dimension of WORK
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C LWORK should be set as follows:
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C LWORK = (LWORK for DxxxSM) + Pr*M*N + Pl*M*N
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C where Pr <20>Pl<50> = 1 if right <20>left<66> permutation has to
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C be performed, 0 otherwise.
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C Unchanged on exit.
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C
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C IERROR - INTEGER
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C On exit IERROR contains the value of error flag as follows:
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C IERROR = 0 no error
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C IERROR > 0 warning
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C IERROR < 0 fatal error
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C
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C Local Variables
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C ===============
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C
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C LWORKM - INTEGER
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C Minimum work area dimension for DCSSM
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C
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C LWORKB - INTEGER
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C Work area dimension for matrices B, C in subroutines DLPUPD
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C
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C LWORKS - INTEGER
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C Work area dimension for subroutine DSWSM
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C
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C P - INTEGER
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C Pointer to work area
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C
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C LP - LOGICAL
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C LP is true if left permutation is required
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C
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C RP - LOGICAL
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C RP is true if right permutation is required
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C
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C Notes
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C =====
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C Some tests have shown that it is more efficient to divide the
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C sparse matrix-dense matrix multiplication step and the dense
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C matrix permutation and update (C <- xxx + BETA C) step.
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C So, the sequence of operations is:
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C Right permutation DLPUPD
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C Matrix-Matrix product DSWSM
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C Left permutation and update DLPUPD
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C In order to avoid useless memory transfer, the above scheme is
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C simplified according to whether right and left permutation
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C have to be performed.
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C
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C
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SUBROUTINE DCSSM(TRANS,M,N,ALPHA,UNITD,D,
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+ PL,FIDT,DESCRT,T,IT1,IT2,INFOT,PR,
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+ B,LDB,BETA,C,LDC,WORK,LWORK,IERROR)
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C .. Scalar Arguments ..
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use psb_const_mod
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use psb_error_mod
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use psb_string_mod
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IMPLICIT NONE
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real(psb_dpk_) ALPHA, BETA
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INTEGER N, LDB, LDC, M, LWORK, IERROR
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CHARACTER UNITD, TRANS
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C .. Array Arguments ..
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real(psb_dpk_) T(*), B(LDB,*), C(LDC,*), D(*), WORK(*)
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INTEGER IT1(*), IT2(*), INFOT(*), PL(*), PR(*)
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CHARACTER DESCRT*11, FIDT*5
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C .. Local Scalars ..
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INTEGER LWORKM, LWORKB, LWORKS, P, ERR_ACT
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LOGICAL LP, RP
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C .. Local Array..
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INTEGER INT_VAL(5)
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CHARACTER*30 STRINGS(2)
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CHARACTER NAME*20
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integer :: debug_level, debug_unit
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C .. External Subroutines ..
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EXTERNAL DSWSM, DLPUPD
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C .. Intrinsic Functions ..
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INTRINSIC DBLE, IDINT
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C .. Executable Statements ..
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C
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C Check for argument errors
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C
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IERROR = 0
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NAME = 'DCSSM'
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CALL FCPSB_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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IF (M.LT.0) THEN
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IERROR = 10
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INT_VAL(1) = 2
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INT_VAL(2) = M
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ELSE IF (N.LT.0) THEN
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IERROR = 10
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INT_VAL(1) = 3
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INT_VAL(2) = N
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ELSE IF (psb_toupper(TRANS).NE.'T' .AND.
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+ psb_toupper(TRANS).NE.'N' .AND.
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+ psb_toupper(TRANS).NE.'C') THEN
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IERROR = 40
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INT_VAL(1) = 1
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STRINGS(1) = TRANS//'\0'
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ELSE IF (psb_toupper(UNITD).NE.'U' .AND.
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+ psb_toupper(UNITD).NE.'L' .AND.
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+ psb_toupper(UNITD).NE.'R' .AND.
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+ psb_toupper(UNITD).NE.'B') THEN
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IERROR = 40
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INT_VAL(1) = 5
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STRINGS(1) = UNITD//'\0'
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ELSE IF (LDB.LT.M) THEN
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IERROR = 50
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INT_VAL(1) = 16
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INT_VAL(2) = 2
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INT_VAL(3) = LDB
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INT_VAL(4) = M
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ELSE IF (LDC.LT.M) THEN
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IERROR = 50
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INT_VAL(1) = 19
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INT_VAL(2) = 2
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INT_VAL(3) = LDC
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INT_VAL(4) = M
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ENDIF
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C
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C Error handling
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C
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IF(IERROR.NE.0) THEN
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CALL FCPSB_ERRPUSH(IERROR,NAME,INT_VAL)
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GOTO 9999
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ENDIF
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C
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C Inizializations
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C
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LP = PL(1).NE.0
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RP = PR(1).NE.0
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LWORKB = M*N
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LWORKM = 0
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IF (RP) LWORKM = LWORKB
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IF (LP) LWORKM = LWORKM + LWORKB
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P = LWORKB+1
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IF (LWORK.LT.LWORKM) THEN
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IERROR = 60
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INT_VAL(1) = 21
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INT_VAL(2) = LWORKM
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INT_VAL(3) = LWORK
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CALL FCPSB_ERRPUSH(IERROR,NAME,INT_VAL)
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GOTO 9999
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ENDIF
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LWORKS = LWORK - LWORKM
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C Check for M, N
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C
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IF (M.LE.0 .OR. N.LE.0) THEN
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GOTO 9999
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ENDIF
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C
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C Switching on xP
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C
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IF (LP .AND. RP) THEN
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C
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C Both right and left permutations required
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C
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if (debug_level >= psb_debug_serial_comp_)
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+ write(debug_unit,*) trim(name),': RP LP ',m,n,ierror
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CALL DLPUPD(M,N,PR,B,LDB,BETA,WORK,M)
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CALL DSWSM(TRANS,M,N,ALPHA,UNITD,D,FIDT,DESCRT,T,IT1,IT2,
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& INFOT,WORK,M,DZERO,WORK(P),M,WORK(P+LWORKB),LWORK,IERROR)
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LWORKS = IDINT(WORK(P+LWORKB))
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IF(IERROR .NE. 0) THEN
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IF (IERROR.EQ.3010) THEN
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CALL FCPSB_ERRPUSH(IERROR,NAME,INT_VAL)
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GOTO 9999
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ENDIF
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ENDIF
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CALL DLPUPD(M,N,PL,WORK(P),M,BETA,C,LDC)
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ELSE IF(.NOT.LP .AND. RP) THEN
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C
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C Only right permutation required
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C
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if (debug_level >= psb_debug_serial_comp_)
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+ write(debug_unit,*) trim(name),': RP NLP ',m,n,ierror
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CALL DLPUPD(M,N,PR,B,LDB,BETA,WORK,M)
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CALL DSWSM(TRANS,M,N,ALPHA,UNITD,D,FIDT,DESCRT,T,IT1,IT2,
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& INFOT,WORK,M,DZERO,C,LDC,WORK(P),LWORK,IERROR)
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LWORKS = IDINT(WORK(P))
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IF(IERROR .NE. 0) THEN
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NAME = 'DCSSM\0'
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IF (IERROR.EQ.3010) THEN
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CALL FCPSB_ERRPUSH(IERROR,NAME,INT_VAL)
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GOTO 9999
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ENDIF
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ENDIF
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ELSE IF(.NOT.RP .AND. LP) THEN
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C
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C Only left permutation required
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C
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if (debug_level >= psb_debug_serial_comp_)
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+ write(debug_unit,*) trim(name),': NRP LP ',m,n,ierror
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CALL DSWSM(TRANS,M,N,ALPHA,UNITD,D,FIDT,DESCRT,T,IT1,IT2,
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& INFOT,B,LDB,BETA,WORK,M,WORK(P),LWORK,IERROR)
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LWORKS = IDINT(WORK(P))
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IF(IERROR .NE. 0) THEN
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IF (IERROR.EQ.3010) THEN
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CALL FCPSB_ERRPUSH(IERROR,NAME,INT_VAL)
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GOTO 9999
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ENDIF
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ENDIF
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CALL DLPUPD(M,N,PL,WORK,M,BETA,C,LDC)
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ELSE IF(.NOT.RP .AND. .NOT.LP) THEN
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C
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C Only triangular systems solver required
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C
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if (debug_level >= psb_debug_serial_comp_)
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+ write(debug_unit,*) trim(name),': NRP NLP ',m,n,ierror
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CALL DSWSM(TRANS,M,N,ALPHA,UNITD,D,FIDT,DESCRT,T,IT1,IT2,
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& INFOT,B,LDB,BETA,C,LDC,WORK,LWORK,IERROR)
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LWORKS = IDINT(WORK(1))
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IF(IERROR .NE. 0) THEN
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IF (IERROR.EQ.3010) THEN
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CALL FCPSB_ERRPUSH(IERROR,NAME,INT_VAL)
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GOTO 9999
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ENDIF
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ENDIF
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ENDIF
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C
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C Return minimum workarea dimension
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C
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LWORKM = LWORKM + LWORKS
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WORK(1) = DBLE(LWORKM)
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CALL FCPSB_ERRACTIONRESTORE(ERR_ACT)
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RETURN
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9999 CONTINUE
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CALL FCPSB_ERRACTIONRESTORE(ERR_ACT)
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IF ( ERR_ACT .NE. 0 ) THEN
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CALL FCPSB_SERROR()
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RETURN
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ENDIF
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RETURN
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END
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