SUBROUTINE DGEMM( TRANSA, TRANSB, M, N, K, ALPHA, A, LDA, B, LDB, $ BETA, C, LDC ) * * -- Automatically Tuned Linear Algebra Software (ATLAS) * (C) Copyright 2000 All Rights Reserved * * -- ATLAS routine -- F77 Interface -- Version 3.2 -- December 25, 2000 * * -- Suggestions, comments, bugs reports should be sent to the follo- * wing e-mail address: atlas@cs.utk.edu * * Author : Antoine P. Petitet * University of Tennessee - Innovative Computing Laboratory * Knoxville TN, 37996-1301, USA. * * --------------------------------------------------------------------- * * -- Copyright notice and Licensing terms: * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions * are met: * * 1. Redistributions of source code must retain the above copyright * notice, this list of conditions and the following disclaimer. * 2. Redistributions in binary form must reproduce the above copyright * notice, this list of conditions, and the following disclaimer in * the documentation and/or other materials provided with the distri- * bution. * 3. The name of the University, the ATLAS group, or the names of its * contributors may not be used to endorse or promote products deri- * ved from this software without specific written permission. * * -- Disclaimer: * * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS * ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR * A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE UNIVERSITY * OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPE- * CIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED * TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, * OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEO- * RY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (IN- * CLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. * * --------------------------------------------------------------------- * * .. Scalar Arguments .. CHARACTER*1 TRANSA, TRANSB INTEGER M, N, K, LDA, LDB, LDC DOUBLE PRECISION ALPHA, BETA * .. * .. Array Arguments .. DOUBLE PRECISION A( LDA, * ), B( LDB, * ), C( LDC, * ) * .. * * Purpose * ======= * * DGEMM performs one of the matrix-matrix operations * * C := alpha * op( A ) * op( B ) + beta * C, * * where op( X ) is one of * * op( X ) = X or op( X ) = X'. * * Alpha and beta are scalars, and A, B and C are matrices, with op( A ) * an m by k matrix, op( B ) a k by n matrix and C an m by n matrix. * * Arguments * ========= * * TRANSA (input) CHARACTER*1 * On entry, TRANSA specifies the form of op( A ) to be used in * the matrix multiplication as follows: * * TRANSA = 'N' or 'n' op( A ) = A, * * TRANSA = 'T' or 't' op( A ) = A', * * TRANSA = 'C' or 'c' op( A ) = A'. * * Unchanged on exit. * * TRANSB (input) CHARACTER*1 * On entry, TRANSB specifies the form of op( A ) to be used in * the matrix multiplication as follows: * * TRANSB = 'N' or 'n' op( B ) = B, * * TRANSB = 'T' or 't' op( B ) = B', * * TRANSB = 'C' or 'c' op( B ) = B'. * * Unchanged on exit. * * M (input) INTEGER * On entry, M specifies the number of rows of the matrix * op( A ) and of the matrix C. M must be at least zero. * Unchanged on exit. * * N (input) INTEGER * On entry, N specifies the number of columns of the matrix * op( B ) and the number of columns of the matrix C. N must be * at least zero. Unchanged on exit. * * K (input) INTEGER * On entry, K specifies the number of columns of the matrix * op( A ) and the number of rows of the matrix op( B ). K must * be at least zero. Unchanged on exit. * * ALPHA (input) DOUBLE PRECISION * On entry, ALPHA specifies the scalar alpha. When ALPHA is * supplied as zero then the elements of the matrices A and B * need not be set on input. Unchanged on exit. * * A (input) DOUBLE PRECISION array * On entry, A is an array of DIMENSION ( LDA, ka ), where ka is * k when TRANSA = 'N' or 'n', and is m otherwise. Before * entry with TRANSA = 'N' or 'n', the leading m by k part of * the array A must contain the matrix A, otherwise the leading * k by m part of the array A must contain the matrix A. Un- * changed on exit. * * LDA (input) INTEGER * On entry, LDA specifies the first dimension of A as declared * in the calling (sub) program. When TRANSA = 'N' or 'n' then * LDA must be at least max( 1, m ), otherwise LDA must be at * least max( 1, k ). Unchanged on exit. * * B (input) DOUBLE PRECISION array * On entry, B is an array of DIMENSION ( LDB, kb ), where kb is * n when TRANSB = 'N' or 'n', and is k otherwise. Before * entry with TRANSB = 'N' or 'n', the leading k by n part of * the array B must contain the matrix B, otherwise the leading * n by k part of the array B must contain the matrix B. Unchan- * ged on exit. * * LDB (input) INTEGER * On entry, LDB specifies the first dimension of B as declared * in the calling (sub) program. When TRANSB = 'N' or 'n' then * LDB must be at least max( 1, k ), otherwise LDB must be at * least max( 1, n ). Unchanged on exit. * * BETA (input) DOUBLE PRECISION * On entry, BETA specifies the scalar beta. When BETA is * supplied as zero then the elements of the matrix C need * not be set on input. Unchanged on exit. * * C (input/output) DOUBLE PRECISION array * On entry, C is an array of DIMENSION ( LDC, n ). Before * entry, the leading m by n part of the array C must contain * the matrix C, except when beta is zero, in which case C need * not be set on entry. On exit, the array C is overwritten by * the m by n matrix ( alpha*op( A )*op( B ) + beta*C ). * * LDC (input) INTEGER * On entry, LDC specifies the first dimension of C as declared * in the calling (sub) program. LDC must be at least * max( 1, m ). Unchanged on exit. * * Further Details * =============== * * For further information on the Level 1 BLAS specification, see: * * ``A Proposal for Standard Linear Algebra Subprograms'' by R. Hanson, * F. Krogh and C. Lawson, ACM SIGNUM Newsl., 8(16), 1973, * * ``Basic Linear Algebra Subprograms for Fortran Usage'' by C. Lawson, * R. Hanson, D. Kincaid and F. Krogh, ACM Transactions on Mathematical * Software, 5(3) pp 308-323, 1979. * * For further information on the Level 2 BLAS specification, see: * * ``An Extended Set of FORTRAN Basic Linear Algebra Subprograms'' by * J. Dongarra, J. Du Croz, S. Hammarling and R. Hanson, ACM Transac- * tions on Mathematical Software, 14(1) pp 1-17, 1988. * * ``Algorithm 656: An extended Set of Basic Linear Algebra Subprograms: * Model Implementation and Test Programs'' by J. Dongarra, J. Du Croz, * S. Hammarling and R. Hanson, ACM Transactions on Mathematical Soft- * ware, 14(1) pp 18-32, 1988. * * For further information on the Level 3 BLAS specification, see: * * ``A Set of Level 3 Basic Linear Algebra Subprograms'' by J. Dongarra, * J. Du Croz, I. Duff and S. Hammarling, ACM Transactions on Mathemati- * cal Software, 16(1), pp 1-17, 1990. * * ===================================================================== * * .. Parameters .. INTEGER ICOTRAN, INOTRAN, ITRAN PARAMETER ( INOTRAN = 111, ITRAN = 112, ICOTRAN = 113 ) * .. * .. Local Scalars .. INTEGER INFO, ITRANSA, ITRANSB, NROWA, NROWB * .. * .. External Subroutines .. EXTERNAL ATL_F77WRAP_DGEMM, XERBLA * .. * .. External Functions .. EXTERNAL LSAME LOGICAL LSAME * .. * .. Intrinsic Functions .. INTRINSIC MAX * .. * .. Executable Statements .. * INFO = 0 * IF( LSAME( TRANSA, 'N' ) ) THEN ITRANSA = INOTRAN NROWA = M ELSE IF( LSAME( TRANSA, 'T' ) ) THEN ITRANSA = ITRAN NROWA = K ELSE IF( LSAME( TRANSA, 'C' ) ) THEN ITRANSA = ICOTRAN NROWA = K ELSE ITRANSA = INOTRAN NROWA = 0 INFO = 1 END IF * IF( LSAME( TRANSB, 'N' ) ) THEN ITRANSB = INOTRAN NROWB = K ELSE IF( LSAME( TRANSB, 'T' ) ) THEN ITRANSB = ITRAN NROWB = N ELSE IF( LSAME( TRANSB, 'C' ) ) THEN ITRANSB = ICOTRAN NROWB = N ELSE IF( INFO.EQ.0 ) THEN ITRANSB = INOTRAN NROWB = 0 INFO = 2 END IF * IF( INFO.EQ.0 ) THEN IF( M .LT.0 ) THEN INFO = 3 ELSE IF( N .LT.0 ) THEN INFO = 4 ELSE IF( K .LT.0 ) THEN INFO = 5 ELSE IF( LDA.LT.MAX( 1, NROWA ) ) THEN INFO = 8 ELSE IF( LDB.LT.MAX( 1, NROWB ) ) THEN INFO = 10 ELSE IF( LDC.LT.MAX( 1, M ) ) THEN INFO = 13 END IF END IF * IF( INFO.NE.0 ) THEN CALL XERBLA( 'DGEMM ', INFO ) RETURN END IF * CALL ATL_F77WRAP_DGEMM( ITRANSA, ITRANSB, M, N, K, ALPHA, A, LDA, $ B, LDB, BETA, C, LDC ) * RETURN * * End of DGEMM * END