SUBROUTINE ZHEMM( SIDE, UPLO, M, N, 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 SIDE, UPLO INTEGER M, N, LDA, LDB, LDC COMPLEX*16 ALPHA, BETA * .. * .. Array Arguments .. COMPLEX*16 A( LDA, * ), B( LDB, * ), C( LDC, * ) * .. * * Purpose * ======= * * ZHEMM performs one of the matrix-matrix operations * * C := alpha * A * B + beta * C, * * or * * C := alpha * B * A + beta * C, * * where alpha and beta are scalars, A is a Hermitian matrix and B and * C are m by n matrices. * * Arguments * ========= * * SIDE (input) CHARACTER*1 * On entry, SIDE specifies whether the Hermitian matrix A * appears on the left or right in the operation as follows: * * SIDE = 'L' or 'l' C := alpha * A * B + beta * C, * * SIDE = 'R' or 'r' C := alpha * B * A + beta * C. * * Unchanged on exit. * * UPLO (input) CHARACTER*1 * On entry, UPLO specifies whether the upper or lower triangu- * lar part of the array A is to be referenced as follows: * * UPLO = 'U' or 'u' Only the upper triangular part of A * is to be referenced. * * UPLO = 'L' or 'l' Only the lower triangular part of A * is to be referenced. * * Unchanged on exit. * * M (input) INTEGER * On entry, M specifies the number of rows 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 C. * 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 matrices A and B * need not be set on input. * * A (input) COMPLEX*16 array * On entry, A is an array of DIMENSION ( LDA, ka ), where ka is * m when SIDE = 'L' or 'l' and is n otherwise. * Before entry with SIDE = 'L' or 'l', the m by m part of * the array A must contain the Hermitian matrix, such that * when UPLO = 'U' or 'u', the leading m by m upper triangular * part of the array A must contain the upper triangular part * of the Hermitian matrix and the strictly lower triangular * part of A is not referenced, and when UPLO = 'L' or 'l', * the leading m by m lower triangular part of the array A * must contain the lower triangular part of the Hermitian * matrix and the strictly upper triangular part of A is not * referenced. * Before entry with SIDE = 'R' or 'r', the n by n part of * the array A must contain the Hermitian matrix, such that * when UPLO = 'U' or 'u', the leading n by n upper triangular * part of the array A must contain the upper triangular part * of the Hermitian matrix and the strictly lower triangular * part of A is not referenced, and when UPLO = 'L' or 'l', * the leading n by n lower triangular part of the array A * must contain the lower triangular part of the Hermitian * matrix and the strictly upper triangular part of A is not * referenced. * Note that the imaginary parts of the local entries correspon- * ding to the diagonal elements of A need not be set and assu- * med to be zero. 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 ), otherwise LDA must be at * least max( 1, n ). Unchanged on exit. * * B (input) 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 * matrix B. Unchanged on exit. * * 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. * * BETA (input) COMPLEX*16 * 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) COMPLEX*16 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 ma- * trix 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 updated matrix. * * 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 ILEFT, IRIGHT PARAMETER ( ILEFT = 141, IRIGHT = 142 ) INTEGER ILOWER, IUPPER PARAMETER ( IUPPER = 121, ILOWER = 122 ) * .. * .. Local Scalars .. INTEGER INFO, ISIDE, IUPLO, NROWA * .. * .. External Subroutines .. EXTERNAL ATL_F77WRAP_ZHEMM, 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( INFO.EQ.0 ) THEN IF( M .LT.0 ) THEN INFO = 3 ELSE IF( N .LT.0 ) THEN INFO = 4 ELSE IF( LDA.LT.MAX( 1, NROWA ) ) THEN INFO = 7 ELSE IF( LDB.LT.MAX( 1, M ) ) THEN INFO = 9 ELSE IF( LDC.LT.MAX( 1, M ) ) THEN INFO = 12 END IF END IF * IF( INFO.NE.0 ) THEN CALL XERBLA( 'ZHEMM ', INFO ) RETURN END IF * CALL ATL_F77WRAP_ZHEMM( ISIDE, IUPLO, M, N, ALPHA, A, LDA, $ B, LDB, BETA, C, LDC ) * RETURN * * End of ZHEMM * END