SUBROUTINE ZTRMM( SIDE, UPLO, TRANSA, DIAG, M, N, ALPHA, A, LDA, $ B, LDB ) * * -- 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 SIDE, UPLO, TRANSA, DIAG INTEGER M, N, LDA, LDB COMPLEX*16 ALPHA * .. * .. Array Arguments .. COMPLEX*16 A( LDA, * ), B( LDB, * ) * .. * * Purpose * ======= * * ZTRMM performs one of the matrix-matrix operations * * B := alpha * op( A ) * B, or B := alpha * B * op( A ), * * where alpha is a scalar, B is an m by n matrix, A is a unit, or non- * unit, upper or lower triangular matrix and op( X ) is one of * * op( X ) = X or op( X ) = X' or op( X ) = conjg( X' ). * * Arguments * ========= * * SIDE (input) CHARACTER*1 * On entry, SIDE specifies whether op( A ) multiplies B from * the left or right as follows: * * SIDE = 'L' or 'l' B := alpha * op( A )* B, * * SIDE = 'R' or 'r' B := alpha * B * op( A ). * * Unchanged on exit. * * UPLO (input) CHARACTER*1 * On entry, UPLO specifies whether the matrix is an upper or * lower triangular matrix as follows: * * UPLO = 'U' or 'u' A is an upper triangular matrix. * * UPLO = 'L' or 'l' A is a lower triangular matrix. * * Unchanged on exit. * * 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 ) = conjg( A' ). * * Unchanged on exit. * * DIAG (input) CHARACTER*1 * On entry, DIAG specifies whether or not A is unit triangu- * lar as follows: * * DIAG = 'U' or 'u' A is assumed to be unit triangular. * * DIAG = 'N' or 'n' A is not assumed to be unit * triangular. * * Unchanged on exit. * * M (input) INTEGER * On entry, M specifies the number of rows of the matrix B. * M must be at least zero. Unchanged on exit. * * N (input) INTEGER * On entry, N specifies the number of columns of the matrix B. * N must be at least zero. Unchanged on exit. * * ALPHA (input) COMPLEX*16 * On entry, ALPHA specifies the scalar alpha. When ALPHA is * supplied as zero then the elements of the matrix B need not * be set on input. Unchanged on exit. * * A (input) COMPLEX*16 array * On entry, A is an array of DIMENSION ( LDA, k ), where k is m * when SIDE = 'L' or 'l' and is n when SIDE = 'R' or 'r'. * Before entry with UPLO = 'U' or 'u', the leading k by k * upper triangular part of the array A must contain the upper * triangular matrix and the strictly lower triangular part of * A is not referenced. Before entry with UPLO = 'L' or 'l', * the leading k by k lower triangular part of the array A must * contain the lower triangular matrix and the strictly upper * triangular part of A is not referenced. * Note that when DIAG = 'U' or 'u', the diagonal elements of * A are not referenced either, but are assumed to be unity. * Unchanged on exit. * * LDA (input) INTEGER * On entry, LDA specifies the first dimension of A as declared * in the calling (sub) program. When SIDE = 'L' or 'l' then * LDA must be at least max( 1, m ), when SIDE = 'R' or 'r' * then LDA must be at least max( 1, n ). Unchanged on exit. * * B (input/output) COMPLEX*16 array * On entry, B is an array of DIMENSION (LDB, n). Before entry, * the leading m by n part of the array B must contain the ma- * trix B, except when beta is zero, in which case B need not be * set on entry. On exit, the array B is overwritten by the m by * n updated matrix. * * LDB (input) INTEGER * On entry, LDB specifies the first dimension of B as declared * in the calling (sub) program. LDB 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 ILEFT, IRIGHT PARAMETER ( ILEFT = 141, IRIGHT = 142 ) INTEGER ILOWER, IUPPER PARAMETER ( IUPPER = 121, ILOWER = 122 ) INTEGER ICOTRAN, INOTRAN, ITRAN PARAMETER ( INOTRAN = 111, ITRAN = 112, ICOTRAN = 113 ) INTEGER INONUNIT, IUNIT PARAMETER ( INONUNIT = 131, IUNIT = 132 ) * .. * .. Local Scalars .. INTEGER IDIAG, INFO, ISIDE, IUPLO, ITRANS, NROWA * .. * .. External Subroutines .. EXTERNAL ATL_F77WRAP_ZTRMM, XERBLA * .. * .. External Functions .. EXTERNAL LSAME LOGICAL LSAME * .. * .. Intrinsic Functions .. INTRINSIC MAX * .. * .. Executable Statements .. * INFO = 0 * IF( LSAME( SIDE , 'L' ) ) THEN ISIDE = ILEFT NROWA = M ELSE IF( LSAME( SIDE , 'R' ) ) THEN ISIDE = IRIGHT NROWA = N ELSE ISIDE = ILEFT NROWA = 0 INFO = 1 END IF * IF( LSAME( UPLO , 'U' ) ) THEN IUPLO = IUPPER ELSE IF( LSAME( UPLO , 'L' ) ) THEN IUPLO = ILOWER ELSE IF( INFO.EQ.0 ) THEN IUPLO = IUPPER INFO = 2 END IF * IF( LSAME( TRANSA, 'N' ) ) THEN ITRANS = INOTRAN ELSE IF( LSAME( TRANSA, 'T' ) ) THEN ITRANS = ITRAN ELSE IF( LSAME( TRANSA, 'C' ) ) THEN ITRANS = ICOTRAN ELSE IF( INFO.EQ.0 ) THEN ITRANS = INOTRAN INFO = 3 END IF * IF( LSAME( DIAG , 'N' ) ) THEN IDIAG = INONUNIT ELSE IF( LSAME( DIAG , 'U' ) ) THEN IDIAG = IUNIT ELSE IF( INFO.EQ.0 ) THEN INFO = 4 END IF * IF( INFO.EQ.0 ) THEN IF( M .LT.0 ) THEN INFO = 5 ELSE IF( N .LT.0 ) THEN INFO = 6 ELSE IF( LDA.LT.MAX( 1, NROWA ) ) THEN INFO = 9 ELSE IF( LDB.LT.MAX( 1, M ) ) THEN INFO = 11 END IF END IF * IF( INFO.NE.0 ) THEN CALL XERBLA( 'ZTRMM ', INFO ) RETURN END IF * CALL ATL_F77WRAP_ZTRMM( ISIDE, IUPLO, ITRANS, IDIAG, M, N, $ ALPHA, A, LDA, B, LDB ) * RETURN * * End of ZTRMM * END