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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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***********************************************************************
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* ZCOOMV. Prolog to be updated. *
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* *
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* FUNCTION: Driver for routines performing one of the sparse *
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* matrix vector operations *
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* *
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* y = alpha*op(A)*x + beta*y *
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* *
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* where op(A) is one of: *
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* *
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* op(A) = A or op(A) = A' or *
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* op(A) = lower or upper part of A *
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* *
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* alpha and beta are scalars. *
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* The data structure of the matrix is related *
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* to the scalar computer. *
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* This is an internal routine called by: *
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* DSMMV *
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* *
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* ENTRY-POINT = DSRMV *
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* INPUT = *
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* *
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* *
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* SYMBOLIC NAME: TRANS *
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* POSITION: PARAMETER NO 1. *
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* ATTRIBUTES: CHARACTER*1 *
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* VALUES: 'N' 'T' 'L' 'U' *
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* DESCRIPTION: Specifies the form of op(A) to be used in the *
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* matrix vector multiplications as follows: *
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* *
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* TRANS = 'N' , op( A ) = A. *
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* *
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* TRANS = 'T' , op( A ) = A'. *
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* *
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* TRANS = 'L' or 'U', op( A ) = lower or *
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* upper part of A *
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* *
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* SYMBOLIC NAME: DIAG *
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* POSITION: PARAMETER NO 2. *
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* ATTRIBUTES: CHARACTER*1 *
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* VALUES: 'N' 'U' *
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* DESCRIPTION: *
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* Specifies whether or not the matrix A has *
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* unit diagonal as follows: *
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* *
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* DIAG = 'N' A is not assumed *
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* to have unit diagonal *
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* *
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* DIAG = 'U' A is assumed *
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* to have unit diagonal. *
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* *
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* WARNING: it is the caller's responsibility *
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* to ensure that if the matrix has unit *
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* diagonal, there are no elements of the *
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* diagonal are stored in the arrays AS and JA. *
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* *
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* SYMBOLIC NAME: M *
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* POSITION: PARAMETER NO 3. *
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* ATTRIBUTES: INTEGER*4. *
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* VALUES: M >= 0 *
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* DESCRIPTION: Number of rows of the matrix op(A). *
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* *
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* SYMBOLIC NAME: N *
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* POSITION: PARAMETER NO 4. *
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* ATTRIBUTES: INTEGER*4. *
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* VALUES: N >= 0 *
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* DESCRIPTION: Number of columns of the matrix op(A) *
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* *
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* SYMBOLIC NAME: ALPHA *
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* POSITION: PARAMETER NO 5. *
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* ATTRIBUTES: REAL*8. *
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* VALUES: any. *
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* DESCRIPTION: Specifies the scalar alpha. *
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* *
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* *
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* SYMBOLIC NAME: AS *
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* POSITION: PARAMETER NO 6. *
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* ATTRIBUTES: REAL*8: ARRAY(IA(M+1)-1) *
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* VALUES: ANY *
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* DESCRIPTION: Array containing the non zero coefficients of *
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* the sparse matrix op(A). *
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* *
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* SYMBOLIC NAME: JA *
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* POSITION: PARAMETER NO 7. *
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* ATTRIBUTES: INTEGER*4: ARRAY(IA(M+1)-1) *
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* VALUES: 0 < JA(I) <= M *
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* DESCRIPTION: Array containing the column number of the *
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* nonzero coefficients stored in array AS. *
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* *
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* SYMBOLIC NAME: IA *
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* POSITION: PARAMETER NO 8. *
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* ATTRIBUTES: INTEGER*4: ARRAY(*) *
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* VALUES: IA(I) > 0 *
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* DESCRIPTION: Contains the pointers for the beginning of *
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* each rows. *
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* *
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* *
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* SYMBOLIC NAME: X *
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* POSITION: PARAMETER NO 9. *
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* ATTRIBUTES: REAL*8 ARRAY(N) (or ARRAY(M) when op(A) = A') *
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* VALUES: any. *
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* DESCRIPTION: Contains the values of the vector to be *
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* multiplied by the matrix A. *
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* *
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* SYMBOLIC NAME: BETA *
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* POSITION: PARAMETER NO 10. *
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* ATTRIBUTES: REAL*8. *
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* VALUES: any. *
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* DESCRIPTION: Specifies the scalar beta. *
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* *
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* SYMBOLIC NAME: Y *
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* POSITION: PARAMETER NO 11. *
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* ATTRIBUTES: REAL*8 ARRAY(M) (or ARRAY(N) when op(A) = A') *
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* VALUES: any. *
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* DESCRIPTION: Contains the values of the vector to be *
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* updated by the matrix-vector multiplication. *
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* *
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* SYMBOLIC NAME: WORK *
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* POSITION: PARAMETER NO 12. *
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* ATTRIBUTES: REAL*8 ARRAY(M) (or ARRAY(N) when op(A) = A') *
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* VALUES: any. *
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* DESCRIPTION: Work area available to the program. It is used *
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* only when TRANS = 'T'. *
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* *
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* OUTPUT = *
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* *
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* *
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* SYMBOLIC NAME: Y *
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* POSITION: PARAMETER NO 11. *
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* ATTRIBUTES: REAL*8 ARRAY(M) (or ARRAY(N) when op(A) = A') *
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* VALUES: any. *
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* DESCRIPTION: Contains the values of the vector *
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* updated by the matrix-vector multiplication. *
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* *
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* *
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***********************************************************************
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SUBROUTINE ZCOOMV (TRANS,DIAG,M,N,ALPHA,AS,IA,JA,INFOA,X,
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+ BETA,Y,WORK)
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C .. Parameters ..
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COMPLEX*16 ONE, ZERO
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PARAMETER (ONE=(1.0D0,0.0D0),ZERO=(0.0D0,0.0D0))
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C .. Scalar Arguments ..
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COMPLEX*16 ALPHA, BETA
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INTEGER M, N
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CHARACTER DIAG, TRANS
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C .. Array Arguments ..
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COMPLEX*16 AS(*), WORK(*), X(*), Y(*)
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INTEGER IA(*), JA(*),infoa(*)
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C .. Local Scalars ..
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COMPLEX*16 ACC, TX
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INTEGER I, J, K, NCOLA, NROWA,DUM, NNZ, IR, JC
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LOGICAL SYM, TRA, UNI
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C .. Executable Statements ..
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C
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UNI = (DIAG.EQ.'U')
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TRA = (TRANS.EQ.'T')
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C Symmetric matrix upper or lower
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SYM = ((TRANS.EQ.'L').OR.(TRANS.EQ.'U'))
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C
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IF ( .NOT. TRA) THEN
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NROWA = M
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NCOLA = N
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ELSE IF (TRA) THEN
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NROWA = N
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NCOLA = M
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END IF !(....TRA)
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IF (ALPHA.EQ.ZERO) THEN
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IF (BETA.EQ.ZERO) THEN
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DO I = 1, M
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Y(I) = ZERO
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ENDDO
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ELSE
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DO 20 I = 1, M
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Y(I) = BETA*Y(I)
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20 CONTINUE
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ENDIF
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RETURN
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END IF
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NNZ = INFOA(1)
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C
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IF (SYM) THEN
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IF (UNI) THEN
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C
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C ......Symmetric with unitary diagonal.......
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C ....OK!!
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C To be optimized
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IF (BETA.NE.ZERO) THEN
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DO I = 1, M
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C
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C Product for diagonal elements
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C
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Y(I) = BETA*Y(I) + ALPHA*X(I)
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ENDDO
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ELSE
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DO I = 1, M
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Y(I) = ALPHA*X(I)
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ENDDO
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ENDIF
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C Product for other elements
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I = 1
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J = I
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DO WHILE (I.LE.NNZ)
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DO WHILE ((IA(J).EQ.IA(I)).AND.
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+ (J.LE.NNZ))
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J = J+1
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ENDDO
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ACC = ZERO
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IR = IA(I)
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TX = X(IR)
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DO K = I, J-1
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JC = JA(K)
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ACC = ACC + AS(K)*X(JC)
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Y(JC) = Y(JC) + ALPHA * AS(K)*TX
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ENDDO
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Y(IR) = Y(IR) + ALPHA * ACC
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I = J
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ENDDO
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C
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ELSE IF ( .NOT. UNI) THEN
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C
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C Check if matrix is lower or upper
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C
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IF (TRANS.EQ.'L') THEN
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C
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C LOWER CASE: diagonal element is the last element of row
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C ....OK!
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IF (BETA.NE.ZERO) THEN
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DO I = 1, M
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Y(I) = BETA*Y(I)
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ENDDO
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ELSE
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DO I = 1, M
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Y(I) = ZERO
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ENDDO
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ENDIF
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I = 1
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J = I
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DO WHILE (I.LE.NNZ)
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DO WHILE ((IA(J).EQ.IA(I)).AND.
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+ (J.LE.NNZ))
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J = J+1
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ENDDO
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ACC = ZERO
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IR = IA(I)
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TX = X(IR)
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DO K = I, J-1
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JC = JA(K)
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ACC = ACC + AS(K)*X(JC)
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IF (IR.NE.JC) THEN
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Y(JC) = Y(JC) + ALPHA * AS(K)*TX
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ENDIF
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ENDDO
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Y(IR) = Y(IR) + ALPHA * ACC
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I = J
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ENDDO
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ELSE ! ....Trans<>L
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C
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C UPPER CASE
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C ....OK!! (Actually it's just the same as above!)
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C
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IF (BETA.NE.ZERO) THEN
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DO I = 1, M
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Y(I) = BETA*Y(I)
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ENDDO
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ELSE
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DO I = 1, M
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Y(I) = ZERO
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ENDDO
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ENDIF
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I = 1
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J = I
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DO WHILE (I.LE.NNZ)
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DO WHILE ((IA(J).EQ.IA(I)).AND.
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+ (J.LE.NNZ))
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J = J+1
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ENDDO
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ACC = ZERO
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IR = IA(I)
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TX = X(IR)
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DO K = I, J-1
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JC = JA(K)
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ACC = ACC + AS(K)*X(JC)
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IF (IR.NE.JC) THEN
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Y(JC) = Y(JC) + ALPHA * AS(K)*TX
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ENDIF
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ENDDO
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Y(IR) = Y(IR) + ALPHA * ACC
|
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I = J
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ENDDO
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END IF ! ......TRANS=='L'
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END IF ! ......Not UNI
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C
|
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ELSE IF ( .NOT. TRA) THEN !......NOT SYM
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IF ( .NOT. UNI) THEN
|
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C
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C .......General Not Unit, No Traspose
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C
|
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|
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IF (BETA.NE.ZERO) THEN
|
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DO I = 1, M
|
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|
|
Y(I) = BETA*Y(I)
|
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|
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ENDDO
|
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ELSE
|
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|
|
DO I = 1, M
|
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|
|
|
Y(I) = ZERO
|
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|
ENDDO
|
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ENDIF
|
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|
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I = 1
|
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|
|
J = I
|
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|
|
DO WHILE (I.LE.NNZ)
|
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|
|
|
DO WHILE ((IA(J).EQ.IA(I)).AND.
|
|
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|
|
+ (J.LE.NNZ))
|
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|
|
J = J+1
|
|
|
|
|
ENDDO
|
|
|
|
|
ACC = ZERO
|
|
|
|
|
IR = IA(I)
|
|
|
|
|
DO K = I, J-1
|
|
|
|
|
JC = JA(K)
|
|
|
|
|
ACC = ACC + AS(K)*X(JC)
|
|
|
|
|
ENDDO
|
|
|
|
|
Y(IR) = Y(IR) + ALPHA * ACC
|
|
|
|
|
I = J
|
|
|
|
|
ENDDO
|
|
|
|
|
C
|
|
|
|
|
ELSE IF (UNI) THEN
|
|
|
|
|
C
|
|
|
|
|
|
|
|
|
|
IF (BETA.NE.ZERO) THEN
|
|
|
|
|
DO I = 1, M
|
|
|
|
|
Y(I) = BETA*Y(I)+ALPHA*X(I)
|
|
|
|
|
ENDDO
|
|
|
|
|
ELSE
|
|
|
|
|
DO I = 1, M
|
|
|
|
|
Y(I) = ALPHA*X(I)
|
|
|
|
|
ENDDO
|
|
|
|
|
ENDIF
|
|
|
|
|
|
|
|
|
|
I = 1
|
|
|
|
|
J = I
|
|
|
|
|
DO WHILE (I.LE.NNZ)
|
|
|
|
|
DO WHILE ((IA(J).EQ.IA(I)).AND.
|
|
|
|
|
+ (J.LE.NNZ))
|
|
|
|
|
J = J+1
|
|
|
|
|
ENDDO
|
|
|
|
|
ACC = ZERO
|
|
|
|
|
IR = IA(I)
|
|
|
|
|
DO K = I, J-1
|
|
|
|
|
JC = JA(K)
|
|
|
|
|
ACC = ACC + AS(K)*X(JC)
|
|
|
|
|
ENDDO
|
|
|
|
|
Y(IR) = Y(IR) + ALPHA * ACC
|
|
|
|
|
I = J
|
|
|
|
|
ENDDO
|
|
|
|
|
|
|
|
|
|
END IF !....End Testing on UNI
|
|
|
|
|
C
|
|
|
|
|
ELSE IF (TRA) THEN !....Else on SYM (swapped M and N)
|
|
|
|
|
C
|
|
|
|
|
IF ( .NOT. UNI) THEN
|
|
|
|
|
C
|
|
|
|
|
IF (BETA.NE.ZERO) THEN
|
|
|
|
|
DO I = 1, M
|
|
|
|
|
Y(I) = BETA*Y(I)
|
|
|
|
|
ENDDO
|
|
|
|
|
ELSE
|
|
|
|
|
DO I = 1, M
|
|
|
|
|
Y(I) = ZERO
|
|
|
|
|
ENDDO
|
|
|
|
|
ENDIF
|
|
|
|
|
C
|
|
|
|
|
ELSE IF (UNI) THEN
|
|
|
|
|
C
|
|
|
|
|
|
|
|
|
|
IF (BETA.NE.ZERO) THEN
|
|
|
|
|
DO I = 1, M
|
|
|
|
|
Y(I) = BETA*Y(I)+ALPHA*X(I)
|
|
|
|
|
ENDDO
|
|
|
|
|
ELSE
|
|
|
|
|
DO I = 1, M
|
|
|
|
|
Y(I) = ALPHA*X(I)
|
|
|
|
|
ENDDO
|
|
|
|
|
ENDIF
|
|
|
|
|
C
|
|
|
|
|
END IF !....UNI
|
|
|
|
|
C
|
|
|
|
|
IF (ALPHA.EQ.ONE) THEN
|
|
|
|
|
C
|
|
|
|
|
I = 1
|
|
|
|
|
DO I=1,NNZ
|
|
|
|
|
IR = JA(I)
|
|
|
|
|
JC = IA(I)
|
|
|
|
|
Y(IR) = Y(IR) + AS(I)*X(JC)
|
|
|
|
|
ENDDO
|
|
|
|
|
C
|
|
|
|
|
ELSE IF (ALPHA.EQ.-ONE) THEN
|
|
|
|
|
C
|
|
|
|
|
I = 1
|
|
|
|
|
DO I=1,NNZ
|
|
|
|
|
IR = JA(I)
|
|
|
|
|
JC = IA(I)
|
|
|
|
|
Y(IR) = Y(IR) - AS(I)*X(JC)
|
|
|
|
|
ENDDO
|
|
|
|
|
C
|
|
|
|
|
ELSE !.....Else on TRA
|
|
|
|
|
I = 1
|
|
|
|
|
DO I=1,NNZ
|
|
|
|
|
IR = JA(I)
|
|
|
|
|
JC = IA(I)
|
|
|
|
|
Y(IR) = Y(IR) + ALPHA*AS(I)*X(JC)
|
|
|
|
|
ENDDO
|
|
|
|
|
|
|
|
|
|
c$$$C
|
|
|
|
|
c$$$C This work array is used for efficiency
|
|
|
|
|
c$$$C
|
|
|
|
|
c$$$ DO 420 I = 1, N
|
|
|
|
|
c$$$ WORK(I) = ALPHA*X(I)
|
|
|
|
|
c$$$ 420 CONTINUE
|
|
|
|
|
c$$$C
|
|
|
|
|
c$$$ DO 460 I = 1, n
|
|
|
|
|
c$$$ DO 440 J = IA(I), IA(I+1) - 1
|
|
|
|
|
c$$$ K = JA(J)
|
|
|
|
|
c$$$ Y(K) = Y(K) + AS(J)*WORK(I)
|
|
|
|
|
c$$$ 440 CONTINUE
|
|
|
|
|
c$$$ 460 CONTINUE
|
|
|
|
|
c$$$C
|
|
|
|
|
END IF !.....End testing on ALPHA
|
|
|
|
|
|
|
|
|
|
END IF !.....End testing on SYM
|
|
|
|
|
C
|
|
|
|
|
RETURN
|
|
|
|
|
C
|
|
|
|
|
C END OF DSRMV
|
|
|
|
|
C
|
|
|
|
|
END
|
|
|
|
|
|
