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SUBROUTINE ZHER2K( UPLO, TRANS, N, K, ALPHA, A, LDA, B, LDB,
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* -- Automatically Tuned Linear Algebra Software (ATLAS)
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* (C) Copyright 2000 All Rights Reserved
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* -- ATLAS routine -- F77 Interface -- Version 3.2 -- December 15, 2000
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* -- Suggestions, comments, bugs reports should be sent to the follo-
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* wing e-mail address: atlas@cs.utk.edu
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* Author : Antoine P. Petitet
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* University of Tennessee - Innovative Computing Laboratory
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* Knoxville TN, 37996-1301, USA.
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* ---------------------------------------------------------------------
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* -- Copyright notice and Licensing terms:
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* Redistribution and use in source and binary forms, with or without
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* modification, are permitted provided that the following conditions
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* 1. Redistributions of source code must retain the above copyright
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* notice, this list of conditions and the following disclaimer.
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* 2. Redistributions in binary form must reproduce the above copyright
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* notice, this list of conditions, and the following disclaimer in
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* the documentation and/or other materials provided with the distri-
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* 3. The name of the University, the ATLAS group, or the names of its
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* contributors may not be used to endorse or promote products deri-
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* ved from this software without specific written permission.
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* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
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* ``AS IS'' AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
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* LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
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* A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE UNIVERSITY
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* OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPE-
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* CIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED
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* TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA,
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* OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEO-
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* RY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (IN-
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* CLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
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* THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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* ---------------------------------------------------------------------
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* .. Scalar Arguments ..
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CHARACTER*1 UPLO, TRANS
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INTEGER N, K, LDA, LDB, LDC
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* .. Array Arguments ..
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COMPLEX*16 A( LDA, * ), B( LDB, * ), C( LDC, * )
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* ZHER2K performs one of the Hermitian rank 2k operations
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* C := alpha * A * conjg( B )' + conjg( alpha ) * B * conjg( A )' +
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* C := alpha * conjg( A' ) * B + conjg( alpha ) * conjg( B' ) * A +
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* where alpha and beta are scalars with beta real, C is an n by n
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* Hermitian matrix and A and B are n by k matrices in the first case
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* and k by n matrices in the second case.
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* UPLO (input) CHARACTER*1
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* On entry, UPLO specifies whether the upper or lower triangu-
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* lar part of the array C is to be referenced as follows:
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* UPLO = 'U' or 'u' Only the upper triangular part of C
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* is to be referenced.
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* UPLO = 'L' or 'l' Only the lower triangular part of C
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* is to be referenced.
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* TRANS (input) CHARACTER*1
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* On entry, TRANS specifies the operation to be performed as
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* C := alpha*A*conjg( B' ) + conjg( alpha )*B*conjg( A' ) +
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* C := alpha*conjg( A' )*B + conjg( alpha )*conjg( B' )*A +
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* On entry, N specifies the order of the matrix C. N must be at
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* least zero. Unchanged on exit.
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* On entry, with TRANS = 'N' or 'n', K specifies the number of
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* columns of the matrices A and B, and with TRANS = 'C' or 'c',
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* K specifies the number of rows of the matrices A and B.
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* K must be at least zero. Unchanged on exit.
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* ALPHA (input) COMPLEX*16
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* On entry, ALPHA specifies the scalar alpha. When ALPHA is
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* supplied as zero then the entries of the matrices A and B
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* need not be set on input. Unchanged on exit.
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* A (input) COMPLEX*16 array
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* On entry, A is an array of DIMENSION ( LDA, ka ), where ka is
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* k when TRANS = 'N' or 'n', and is n otherwise. Before entry
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* with TRANS = 'N' or 'n', the leading n by k part of the array
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* A must contain the matrix A, otherwise the leading k by n
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* part of the array A must contain the matrix A. Unchanged on
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* LDA (input) INTEGER
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* On entry, LDA specifies the first dimension of A as declared
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* in the calling (sub) program. When TRANS = 'N' or 'n'
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* then LDA must be at least max( 1, n ), otherwise LDA must
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* be at least max( 1, k ). Unchanged on exit.
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* B (input) COMPLEX*16 array
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* On entry, B is an array of DIMENSION ( LDB, kb ), where kb is
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* k when TRANS = 'N' or 'n', and is n otherwise. Before entry
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* with TRANS = 'N' or 'n', the leading n by k part of the array
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* B must contain the matrix B, otherwise the leading k by n
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* part of the array B must contain the matrix B. Unchanged on
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* LDB (input) INTEGER
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* On entry, LDB specifies the first dimension of B as declared
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* in the calling (sub) program. When TRANS = 'N' or 'n'
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* then LDB must be at least max( 1, n ), otherwise LDB must
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* be at least max( 1, k ). Unchanged on exit.
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* BETA (input) DOUBLE PRECISION
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* On entry, BETA specifies the scalar beta. When BETA is
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* supplied as zero then the entries of the matrix C need not
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* be set on input. Unchanged on exit.
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* C (input/output) COMPLEX*16 array
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* On entry, C is an array of DIMENSION ( LDC, n ). Before entry
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* with UPLO = 'U' or 'u', the leading n by n upper triangular
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* part of the array C must contain the upper triangular part of
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* the Hermitian matrix and the strictly lower triangular part
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* of C is not referenced. On exit, the upper triangular part of
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* the array C is overwritten by the upper triangular part of
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* the updated matrix. Before entry with UPLO = 'L' or 'l', the
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* leading n by n lower triangular part of the array C must con-
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* tain the lower triangular part of the Hermitian matrix and
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* the strictly upper triangular part of C is not referenced. On
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* exit, the lower triangular part of the array C is overwritten
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* by the lower triangular part of the updated matrix.
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* Note that the imaginary parts of the diagonal elements of C
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* need not be set, they are assumed to be zero, and on exit
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* they are set to zero.
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* LDC (input) INTEGER
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* On entry, LDC specifies the first dimension of C as declared
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* in the calling (sub) program. LDC must be at least
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* max( 1, n ). Unchanged on exit.
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* For further information on the Level 1 BLAS specification, see:
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* ``A Proposal for Standard Linear Algebra Subprograms'' by R. Hanson,
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* F. Krogh and C. Lawson, ACM SIGNUM Newsl., 8(16), 1973,
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* ``Basic Linear Algebra Subprograms for Fortran Usage'' by C. Lawson,
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* R. Hanson, D. Kincaid and F. Krogh, ACM Transactions on Mathematical
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* Software, 5(3) pp 308-323, 1979.
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* For further information on the Level 2 BLAS specification, see:
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* ``An Extended Set of FORTRAN Basic Linear Algebra Subprograms'' by
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* J. Dongarra, J. Du Croz, S. Hammarling and R. Hanson, ACM Transac-
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* tions on Mathematical Software, 14(1) pp 1-17, 1988.
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* ``Algorithm 656: An extended Set of Basic Linear Algebra Subprograms:
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* Model Implementation and Test Programs'' by J. Dongarra, J. Du Croz,
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* S. Hammarling and R. Hanson, ACM Transactions on Mathematical Soft-
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* ware, 14(1) pp 18-32, 1988.
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* For further information on the Level 3 BLAS specification, see:
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* ``A Set of Level 3 Basic Linear Algebra Subprograms'' by J. Dongarra,
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* J. Du Croz, I. Duff and S. Hammarling, ACM Transactions on Mathemati-
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* cal Software, 16(1), pp 1-17, 1990.
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* =====================================================================
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INTEGER ILOWER, IUPPER
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PARAMETER ( IUPPER = 121, ILOWER = 122 )
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INTEGER ICOTRAN, INOTRAN, ITRAN
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PARAMETER ( INOTRAN = 111, ITRAN = 112, ICOTRAN = 113 )
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* .. Local Scalars ..
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INTEGER INFO, ITRANS, IUPLO, NROWA
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* .. External Subroutines ..
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EXTERNAL ATL_F77WRAP_ZHER2K, XERBLA
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* .. External Functions ..
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* .. Intrinsic Functions ..
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* .. Executable Statements ..
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IF( LSAME( UPLO , 'L' ) ) THEN
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ELSE IF( LSAME( UPLO , 'U' ) ) THEN
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IF( LSAME( TRANS, 'N' ) ) THEN
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ELSE IF( LSAME( TRANS, 'C' ) ) THEN
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ELSE IF( INFO.EQ.0 ) THEN
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ELSE IF( K .LT.0 ) THEN
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ELSE IF( LDA.LT.MAX( 1, NROWA ) ) THEN
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ELSE IF( LDB.LT.MAX( 1, NROWA ) ) THEN
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ELSE IF( LDC.LT.MAX( 1, N ) ) THEN
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CALL XERBLA( 'ZHER2K', INFO )
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CALL ATL_F77WRAP_ZHER2K( IUPLO, ITRANS, N, K, ALPHA, A, LDA,
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$ B, LDB, BETA, C, LDC )
added
removed
interfaces/blas/F77/src/zher2k.f
