319 lines
9.6 KiB
C
319 lines
9.6 KiB
C
#include "blaswrap.h"
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#ifdef __cplusplus
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extern "C" {
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#endif
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#include "f2c.h"
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/* Subroutine */ int dgemm_(char *transa, char *transb, integer *m, integer *
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n, integer *k, doublereal *alpha, doublereal *a, integer *lda,
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doublereal *b, integer *ldb, doublereal *beta, doublereal *c__,
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integer *ldc)
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{
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/* System generated locals */
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integer a_dim1, a_offset, b_dim1, b_offset, c_dim1, c_offset, i__1, i__2,
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i__3;
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/* Local variables */
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static integer info;
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static logical nota, notb;
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static doublereal temp;
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static integer i__, j, l, ncola;
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extern logical lsame_(char *, char *);
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static integer nrowa, nrowb;
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extern /* Subroutine */ int xerbla_(char *, integer *);
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#define a_ref(a_1,a_2) a[(a_2)*a_dim1 + a_1]
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#define b_ref(a_1,a_2) b[(a_2)*b_dim1 + a_1]
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#define c___ref(a_1,a_2) c__[(a_2)*c_dim1 + a_1]
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/* Purpose
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=======
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DGEMM performs one of the matrix-matrix operations
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C := alpha*op( A )*op( B ) + beta*C,
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where op( X ) is one of
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op( X ) = X or op( X ) = X',
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alpha and beta are scalars, and A, B and C are matrices, with op( A )
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an m by k matrix, op( B ) a k by n matrix and C an m by n matrix.
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Parameters
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==========
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TRANSA - CHARACTER*1.
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On entry, TRANSA specifies the form of op( A ) to be used in
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the matrix multiplication as follows:
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TRANSA = 'N' or 'n', op( A ) = A.
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TRANSA = 'T' or 't', op( A ) = A'.
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TRANSA = 'C' or 'c', op( A ) = A'.
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Unchanged on exit.
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TRANSB - CHARACTER*1.
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On entry, TRANSB specifies the form of op( B ) to be used in
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the matrix multiplication as follows:
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TRANSB = 'N' or 'n', op( B ) = B.
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TRANSB = 'T' or 't', op( B ) = B'.
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TRANSB = 'C' or 'c', op( B ) = B'.
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Unchanged on exit.
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M - INTEGER.
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On entry, M specifies the number of rows of the matrix
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op( A ) and of the matrix C. M must be at least zero.
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Unchanged on exit.
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N - INTEGER.
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On entry, N specifies the number of columns of the matrix
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op( B ) and the number of columns of the matrix C. N must be
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at least zero.
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Unchanged on exit.
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K - INTEGER.
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On entry, K specifies the number of columns of the matrix
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op( A ) and the number of rows of the matrix op( B ). K must
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be at least zero.
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Unchanged on exit.
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ALPHA - DOUBLE PRECISION.
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On entry, ALPHA specifies the scalar alpha.
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Unchanged on exit.
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A - DOUBLE PRECISION array of DIMENSION ( LDA, ka ), where ka is
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k when TRANSA = 'N' or 'n', and is m otherwise.
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Before entry with TRANSA = 'N' or 'n', the leading m by k
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part of the array A must contain the matrix A, otherwise
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the leading k by m part of the array A must contain the
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matrix A.
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Unchanged on exit.
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LDA - 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 TRANSA = 'N' or 'n' then
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LDA must be at least max( 1, m ), otherwise LDA must be at
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least max( 1, k ).
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Unchanged on exit.
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B - DOUBLE PRECISION array of DIMENSION ( LDB, kb ), where kb is
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n when TRANSB = 'N' or 'n', and is k otherwise.
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Before entry with TRANSB = 'N' or 'n', the leading k by n
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part of the array B must contain the matrix B, otherwise
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the leading n by k part of the array B must contain the
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matrix B.
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Unchanged on exit.
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LDB - 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 TRANSB = 'N' or 'n' then
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LDB must be at least max( 1, k ), otherwise LDB must be at
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least max( 1, n ).
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Unchanged on exit.
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BETA - DOUBLE PRECISION.
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On entry, BETA specifies the scalar beta. When BETA is
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supplied as zero then C need not be set on input.
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Unchanged on exit.
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C - DOUBLE PRECISION array of DIMENSION ( LDC, n ).
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Before entry, the leading m by n part of the array C must
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contain the matrix C, except when beta is zero, in which
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case C need not be set on entry.
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On exit, the array C is overwritten by the m by n matrix
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( alpha*op( A )*op( B ) + beta*C ).
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LDC - 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, m ).
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Unchanged on exit.
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Level 3 Blas routine.
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-- Written on 8-February-1989.
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Jack Dongarra, Argonne National Laboratory.
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Iain Duff, AERE Harwell.
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Jeremy Du Croz, Numerical Algorithms Group Ltd.
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Sven Hammarling, Numerical Algorithms Group Ltd.
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Set NOTA and NOTB as true if A and B respectively are not
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transposed and set NROWA, NCOLA and NROWB as the number of rows
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and columns of A and the number of rows of B respectively.
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Parameter adjustments */
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a_dim1 = *lda;
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a_offset = 1 + a_dim1 * 1;
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a -= a_offset;
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b_dim1 = *ldb;
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b_offset = 1 + b_dim1 * 1;
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b -= b_offset;
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c_dim1 = *ldc;
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c_offset = 1 + c_dim1 * 1;
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c__ -= c_offset;
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/* Function Body */
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nota = lsame_(transa, "N");
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notb = lsame_(transb, "N");
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if (nota) {
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nrowa = *m;
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ncola = *k;
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} else {
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nrowa = *k;
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ncola = *m;
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}
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if (notb) {
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nrowb = *k;
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} else {
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nrowb = *n;
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}
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/* Test the input parameters. */
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info = 0;
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if (! nota && ! lsame_(transa, "C") && ! lsame_(
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transa, "T")) {
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info = 1;
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} else if (! notb && ! lsame_(transb, "C") && !
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lsame_(transb, "T")) {
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info = 2;
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} else if (*m < 0) {
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info = 3;
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} else if (*n < 0) {
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info = 4;
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} else if (*k < 0) {
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info = 5;
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} else if (*lda < max(1,nrowa)) {
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info = 8;
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} else if (*ldb < max(1,nrowb)) {
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info = 10;
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} else if (*ldc < max(1,*m)) {
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info = 13;
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}
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if (info != 0) {
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xerbla_("DGEMM ", &info);
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return 0;
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}
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/* Quick return if possible. */
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if (*m == 0 || *n == 0 || (*alpha == 0. || *k == 0) && *beta == 1.) {
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return 0;
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}
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/* And if alpha.eq.zero. */
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if (*alpha == 0.) {
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if (*beta == 0.) {
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i__1 = *n;
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for (j = 1; j <= i__1; ++j) {
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i__2 = *m;
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for (i__ = 1; i__ <= i__2; ++i__) {
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c___ref(i__, j) = 0.;
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/* L10: */
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}
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/* L20: */
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}
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} else {
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i__1 = *n;
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for (j = 1; j <= i__1; ++j) {
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i__2 = *m;
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for (i__ = 1; i__ <= i__2; ++i__) {
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c___ref(i__, j) = *beta * c___ref(i__, j);
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/* L30: */
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}
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/* L40: */
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}
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}
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return 0;
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}
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/* Start the operations. */
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if (notb) {
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if (nota) {
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/* Form C := alpha*A*B + beta*C. */
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i__1 = *n;
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for (j = 1; j <= i__1; ++j) {
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if (*beta == 0.) {
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i__2 = *m;
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for (i__ = 1; i__ <= i__2; ++i__) {
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c___ref(i__, j) = 0.;
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/* L50: */
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}
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} else if (*beta != 1.) {
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i__2 = *m;
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for (i__ = 1; i__ <= i__2; ++i__) {
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c___ref(i__, j) = *beta * c___ref(i__, j);
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/* L60: */
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}
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}
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i__2 = *k;
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for (l = 1; l <= i__2; ++l) {
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if (b_ref(l, j) != 0.) {
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temp = *alpha * b_ref(l, j);
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i__3 = *m;
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for (i__ = 1; i__ <= i__3; ++i__) {
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c___ref(i__, j) = c___ref(i__, j) + temp * a_ref(
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i__, l);
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/* L70: */
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}
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}
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/* L80: */
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}
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/* L90: */
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}
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} else {
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/* Form C := alpha*A'*B + beta*C */
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i__1 = *n;
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for (j = 1; j <= i__1; ++j) {
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i__2 = *m;
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for (i__ = 1; i__ <= i__2; ++i__) {
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temp = 0.;
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i__3 = *k;
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for (l = 1; l <= i__3; ++l) {
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temp += a_ref(l, i__) * b_ref(l, j);
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/* L100: */
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}
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if (*beta == 0.) {
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c___ref(i__, j) = *alpha * temp;
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} else {
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c___ref(i__, j) = *alpha * temp + *beta * c___ref(i__,
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j);
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}
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/* L110: */
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}
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/* L120: */
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}
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}
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} else {
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if (nota) {
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/* Form C := alpha*A*B' + beta*C */
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i__1 = *n;
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for (j = 1; j <= i__1; ++j) {
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if (*beta == 0.) {
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i__2 = *m;
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for (i__ = 1; i__ <= i__2; ++i__) {
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c___ref(i__, j) = 0.;
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/* L130: */
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}
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} else if (*beta != 1.) {
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i__2 = *m;
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for (i__ = 1; i__ <= i__2; ++i__) {
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c___ref(i__, j) = *beta * c___ref(i__, j);
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/* L140: */
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}
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}
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i__2 = *k;
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for (l = 1; l <= i__2; ++l) {
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if (b_ref(j, l) != 0.) {
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temp = *alpha * b_ref(j, l);
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i__3 = *m;
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for (i__ = 1; i__ <= i__3; ++i__) {
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c___ref(i__, j) = c___ref(i__, j) + temp * a_ref(
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i__, l);
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/* L150: */
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}
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}
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/* L160: */
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}
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/* L170: */
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}
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} else {
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/* Form C := alpha*A'*B' + beta*C */
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i__1 = *n;
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for (j = 1; j <= i__1; ++j) {
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i__2 = *m;
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for (i__ = 1; i__ <= i__2; ++i__) {
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temp = 0.;
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i__3 = *k;
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for (l = 1; l <= i__3; ++l) {
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temp += a_ref(l, i__) * b_ref(j, l);
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/* L180: */
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}
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if (*beta == 0.) {
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c___ref(i__, j) = *alpha * temp;
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} else {
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c___ref(i__, j) = *alpha * temp + *beta * c___ref(i__,
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j);
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}
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/* L190: */
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}
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/* L200: */
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}
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}
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}
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return 0;
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/* End of DGEMM . */
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} /* dgemm_ */
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#undef c___ref
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#undef b_ref
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#undef a_ref
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#ifdef __cplusplus
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}
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#endif
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