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psblas3/base/serial/f77/scsmm.f

372 lines
12 KiB
Fortran

C
C Parallel Sparse BLAS version 2.2
C (C) Copyright 2006/2007/2008
C Salvatore Filippone University of Rome Tor Vergata
C Alfredo Buttari University of Rome Tor Vergata
C
C Redistribution and use in source and binary forms, with or without
C modification, are permitted provided that the following conditions
C are met:
C 1. Redistributions of source code must retain the above copyright
C notice, this list of conditions and the following disclaimer.
C 2. Redistributions in binary form must reproduce the above copyright
C notice, this list of conditions, and the following disclaimer in the
C documentation and/or other materials provided with the distribution.
C 3. The name of the PSBLAS group or the names of its contributors may
C not be used to endorse or promote products derived from this
C software without specific written permission.
C
C THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
C ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
C TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
C PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE PSBLAS GROUP OR ITS CONTRIBUTORS
C BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
C CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
C SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
C INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
C CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
C ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
C POSSIBILITY OF SUCH DAMAGE.
C
C
C SUBROUTINE SCSMM(TRANS,M,N,K,ALPHA,PL,FIDA,DESCRA,A,IA1,IA2,
C INFOA,PR,B,LDB,BETA,C,LDC,WORK,LWORK,IERROR)
C Purpose
C =======
C
C Computing matrix-matrix product
C C <-- ALPHA PL A PR B + BETA C or
C C <-- ALPHA PL At PR B + BETA C
C
C Parameters
C ==========
C
C TRANS - CHARACTER*1
C On entry TRANS specifies if the routine operates with matrix A
C or with the transpose of A as follows:
C TRANS = 'N' -> use matrix A
C TRANS = 'T' or 'C' -> use A' (transpose of matrix A)
C Unchanged on exit.
C
C M - INTEGER
C On entry: number of rows of matrix A (A') and
C number of rows of matrix C
C Unchanged on exit.
C
C N - INTEGER
C On entry: number of columns of matrix B
C and number of columns of matrix C.
C Unchanged on exit.
C
C K - INTEGER
C On entry: number of columns of matrix A (A') and
C number of rows of matrix B
C Unchanged on exit.
C
C ALPHA - DOUBLE PRECISION
C On entry: multiplicative constant.
C Unchanged on exit.
C
C PL - INTEGER array of dimension (M)
C On entry PL specifies the row permutation of matrix A
C (PL(1) == 0 if no permutation).
C Unchanged on exit.
C
C FIDA - CHARACTER*5
C On entry FIDA defines the format of the input sparse matrix.
C Unchanged on exit.
C
C DESCRA - CHARACTER*1 array of DIMENSION (9)
C On entry DESCRA describes the characteristics of the input
C sparse matrix.
C Unchanged on exit.
C
C A - DOUBLE PRECISION array of DIMENSION (*)
C On entry A specifies the values of the input sparse
C matrix.
C Unchanged on exit.
C
C IA1 - INTEGER array of dimension (*)
C On entry IA1 holds integer information on input sparse
C matrix. Actual information will depend on data format used.
C Unchanged on exit.
C
C IA2 - INTEGER array of dimension (*)
C On entry IA2 holds integer information on input sparse
C matrix. Actual information will depend on data format used.
C Unchanged on exit.
C
C INFOA - INTEGER array of length 10.
C On entry can hold auxiliary information on input matrices
C formats or environment of subsequent calls.
C Might be changed on exit.
C
C PR - INTEGER array of dimension (K)
C On entry PR specifies the column permutation of matrix A
C (PR(1) == 0 if no permutation).
C Unchanged on exit.
C
C B - DOUBLE PRECISION matrix of dimension (LDB,*)
C On entry: dense matrix.
C Unchanged on exit.
C
C LDB - INTEGER
C On entry: leading dimension of B
C Unchanged on exit.
C
C BETA - DOUBLE PRECISION
C On entry: multiplicative constant.
C Unchanged on exit.
C
C C - DOUBLE PRECISION matrix of dimension (LDC,*)
C On entry: dense matrix.
C On exit is updated with the matrix-matrix product.
C
C LDC - INTEGER
C On entry: leading dimension of C
C Unchanged on exit.
C
C WORK - DOUBLE PRECISION array of dimension (LWORK)
C On entry: work area.
C On exit INT(WORK(1)) contains the minimum value
C for LWORK satisfying SCSMM memory requirements.
C
C LWORK - INTEGER
C On entry LWORK specifies the dimension of WORK
C LWORK should be set as follows:
C LWORK = (LWORK for DxxxMM) + Pr*K*N + Pl*M*N
C where Pr (Pl) = 1 if right (left) permutation has to
C be performed, 0 otherwise.
C Unchanged on exit.
C
C IERROR - INTEGER
C On exit IERROR contains the value of error flag as follows:
C IERROR = 0 no error
C IERROR > 0 warning
C IERROR < 0 fatal error
C
C Local Variables
C ===============
C
C LWORKM - INTEGER
C Minimum work area dimension for SCSMM
C
C LWORKB - INTEGER
C Work area dimension for matrix B in subroutine DLPUPD
C
C LWORKC - INTEGER
C Work area dimension for matrix C in subroutine DLPUPD
C
C LWORKS - INTEGER
C Work area dimension for subroutine DSWMM
C
C P - INTEGER
C Pointer to work area
C
C LP - LOGICAL
C LP is true if left permutation is required
C
C RP - LOGICAL
C RP is true if right permutation is required
C
C Notes
C =====
C Some tests have shown that it is more efficient to divide the
C sparse matrix-dense matrix multiplication step and the dense
C matrix permutation step, and it is more efficient to put
C together the left permutation and update (C <- xxx + BETA C)
C steps. So, the sequence of operations is:
C Right permutation DLPUPD
C Matrix-Matrix product DSWMM
C Left permutation and update DLPUPD
C In order to avoid useless memory transfer, the above scheme is
C simplified according to whether right and left permutation have to
C be performed. If left permutation is not required, the update step
C is performed in the sparse matrix-dense matrix multiplication kernel.
C
C It is not possible to call this subroutine with LWORK=0 to get #
C the minimal value for LWORK. This functionality needs a better #
C connection with DxxxMM #
C
C
SUBROUTINE SCSMM(TRANS,M,N,K,ALPHA,PL,FIDA,DESCRA,A,IA1,IA2,
& INFOA,PR,B,LDB,BETA,C,LDC,WORK,LWORK,IERROR)
use psb_const_mod
IMPLICIT NONE
C .. Scalar Arguments ..
INTEGER M,N,K,LDB,LDC,LWORK, IERROR
CHARACTER TRANS
real(psb_spk_) ALPHA,BETA
C .. Array Arguments ..
INTEGER IA1(*),IA2(*),INFOA(*),PL(*),PR(*)
CHARACTER DESCRA*11, FIDA*5
real(psb_spk_) A(*),B(LDB,*),C(LDC,*),WORK(*)
C .. Local Scalars ..
INTEGER LWORKM, LWORKB, LWORKC, LWORKS, P, ERR_ACT
LOGICAL LP, RP
C .. Local Array..
INTEGER INT_VAL(5)
CHARACTER*20 NAME
CHARACTER*30 STRINGS(2)
C .. External Subroutines ..
EXTERNAL SSWMM, SLPUPD, SSCAL
C .. Executable Statements ..
C
C Check for argument errors
C
NAME = 'SCSMM\0'
IERROR = 0
CALL FCPSB_ERRACTIONSAVE(ERR_ACT)
IF (M.LT.0) THEN
IERROR = 10
INT_VAL(1) = 2
INT_VAL(2) = M
ELSE IF (K.LT.0) THEN
IERROR = 10
INT_VAL(1) = 4
INT_VAL(2) = K
ELSE IF (N.LT.0) THEN
IERROR = 10
INT_VAL(1) = 3
INT_VAL(2) = N
ELSE IF (TRANS.NE.'T' .AND. TRANS.NE.'N' .AND. TRANS.NE.'C') THEN
IERROR = 40
INT_VAL(1) = 1
STRINGS(1) = TRANS//'\0'
ELSE IF (LDB.LT.K) THEN
IERROR = 50
INT_VAL(1) = 15
INT_VAL(2) = 4
INT_VAL(3) = LDB
INT_VAL(4) = K
ELSE IF (LDC.LT.M) THEN
IERROR = 50
INT_VAL(1) = 18
INT_VAL(2) = 2
INT_VAL(3) = LDC
INT_VAL(4) = M
ENDIF
C
C Error handling
C
IF(IERROR.NE.0) THEN
CALL FCPSB_ERRPUSH(IERROR,NAME,INT_VAL)
GOTO 9999
END IF
C
C Inizializations
C
LP = PL(1).NE.0
RP = PR(1).NE.0
LWORKB = K*N
LWORKC = M*N
LWORKM = 0
IF (RP) LWORKM = LWORKB
IF (LP) LWORKM = LWORKM + LWORKC
IF (LWORK.LT.LWORKM) THEN
IERROR = 60
INT_VAL(1) = 20
INT_VAL(2) = LWORKM
INT_VAL(3) = LWORK
CALL FCPSB_ERRPUSH(IERROR,NAME,INT_VAL)
GOTO 9999
ENDIF
LWORKS = LWORK - LWORKM
C
C Check for M, N, K
C
IF(M.GT.0 .AND. N.GT.0 .AND. K.EQ.0) THEN
C
C Only C <-- BETA C required
C
C CALL SSCAL(M,BETA,C,IONE)
ELSE IF(M.LE.0 .OR. N.LE.0 .OR. K.LE.0) THEN
GOTO 9998
ENDIF
C
C Switching on PR and PL
C
IF (LP .AND. RP) THEN
C
C Both right and left permutation required
C
P=LWORKB+1
CALL SLPUPD(K,N,PR,B,LDB,DZERO,WORK,K)
CALL SSWMM(TRANS,M,N,K,ALPHA,FIDA,DESCRA,A,IA1,IA2,INFOA,
& WORK,K,DZERO,WORK(P),M,WORK(P+LWORKC),LWORKS,IERROR)
LWORKS = INT(WORK(P+LWORKC))
IF(IERROR .NE. 0) THEN
IERROR=4011
CALL FCPSB_ERRPUSH(IERROR,NAME,INT_VAL)
GOTO 9999
ENDIF
CALL SLPUPD(M,N,PL,WORK(P),M,BETA,C,LDC)
ELSE IF(.NOT.LP .AND. RP) THEN
C
C Only right permutation required
C
P=LWORKB+1
CALL SLPUPD(K,N,PR,B,LDB,DZERO,WORK,K)
CALL SSWMM(TRANS,M,N,K,ALPHA,FIDA,DESCRA,A,IA1,IA2,INFOA,
& WORK,K,BETA,C,LDC,WORK(P),LWORKS,IERROR)
LWORKS = INT(WORK(P))
IF(IERROR .NE. 0) THEN
IERROR=4011
CALL FCPSB_ERRPUSH(IERROR,NAME,INT_VAL)
GOTO 9999
ENDIF
ELSE IF(.NOT.RP .AND. LP) THEN
C
C Only left permutation required
C
P=LWORKC+1
CALL SSWMM(TRANS,M,N,K,ALPHA,FIDA,DESCRA,A,IA1,IA2,INFOA,
& B,LDB,DZERO,WORK,M,WORK(P),LWORKS,IERROR)
LWORKS = INT(WORK(P))
IF(IERROR .NE. 0) THEN
IERROR=4011
CALL FCPSB_ERRPUSH(IERROR,NAME,INT_VAL)
GOTO 9999
ENDIF
CALL SLPUPD(M,N,PL,WORK,M,BETA,C,LDC)
ELSE IF(.NOT.RP .AND. .NOT.LP) THEN
C
C No permutations required
C
CALL SSWMM(TRANS,M,N,K,ALPHA,FIDA,DESCRA,A,IA1,IA2,INFOA,
& B,LDB,BETA,C,LDC,WORK,LWORKS,IERROR)
LWORKS = INT(WORK(1))
IF(IERROR .NE. 0) THEN
IERROR=4011
CALL FCPSB_ERRPUSH(IERROR,NAME,INT_VAL)
GOTO 9999
ENDIF
ENDIF
9998 CONTINUE
C
C Return minimum workarea dimension
C
LWORKM = LWORKM + LWORKS
WORK(1) = REAL(LWORKM)
CALL FCPSB_ERRACTIONRESTORE(ERR_ACT)
RETURN
9999 CONTINUE
CALL FCPSB_ERRACTIONRESTORE(ERR_ACT)
IF ( ERR_ACT .NE. 0 ) THEN
CALL FCPSB_SERROR()
RETURN
ENDIF
RETURN
END