c@427: /* dgemm.f -- translated by f2c (version 20061008).
c@427:    You must link the resulting object file with libf2c:
c@427: 	on Microsoft Windows system, link with libf2c.lib;
c@427: 	on Linux or Unix systems, link with .../path/to/libf2c.a -lm
c@427: 	or, if you install libf2c.a in a standard place, with -lf2c -lm
c@427: 	-- in that order, at the end of the command line, as in
c@427: 		cc *.o -lf2c -lm
c@427: 	Source for libf2c is in /netlib/f2c/libf2c.zip, e.g.,
c@427: 
c@427: 		http://www.netlib.org/f2c/libf2c.zip
c@427: */
c@427: 
c@427: #include "f2c.h"
c@427: #include "blaswrap.h"
c@427: 
c@427: /* Subroutine */ int dgemm_(char *transa, char *transb, integer *m, integer *
c@427: 	n, integer *k, doublereal *alpha, doublereal *a, integer *lda, 
c@427: 	doublereal *b, integer *ldb, doublereal *beta, doublereal *c__, 
c@427: 	integer *ldc)
c@427: {
c@427:     /* System generated locals */
c@427:     integer a_dim1, a_offset, b_dim1, b_offset, c_dim1, c_offset, i__1, i__2, 
c@427: 	    i__3;
c@427: 
c@427:     /* Local variables */
c@427:     integer i__, j, l, info;
c@427:     logical nota, notb;
c@427:     doublereal temp;
c@427:     integer ncola;
c@427:     extern logical lsame_(char *, char *);
c@427:     integer nrowa, nrowb;
c@427:     extern /* Subroutine */ int xerbla_(char *, integer *);
c@427: 
c@427: /*     .. Scalar Arguments .. */
c@427: /*     .. */
c@427: /*     .. Array Arguments .. */
c@427: /*     .. */
c@427: 
c@427: /*  Purpose */
c@427: /*  ======= */
c@427: 
c@427: /*  DGEMM  performs one of the matrix-matrix operations */
c@427: 
c@427: /*     C := alpha*op( A )*op( B ) + beta*C, */
c@427: 
c@427: /*  where  op( X ) is one of */
c@427: 
c@427: /*     op( X ) = X   or   op( X ) = X', */
c@427: 
c@427: /*  alpha and beta are scalars, and A, B and C are matrices, with op( A ) */
c@427: /*  an m by k matrix,  op( B )  a  k by n matrix and  C an m by n matrix. */
c@427: 
c@427: /*  Arguments */
c@427: /*  ========== */
c@427: 
c@427: /*  TRANSA - CHARACTER*1. */
c@427: /*           On entry, TRANSA specifies the form of op( A ) to be used in */
c@427: /*           the matrix multiplication as follows: */
c@427: 
c@427: /*              TRANSA = 'N' or 'n',  op( A ) = A. */
c@427: 
c@427: /*              TRANSA = 'T' or 't',  op( A ) = A'. */
c@427: 
c@427: /*              TRANSA = 'C' or 'c',  op( A ) = A'. */
c@427: 
c@427: /*           Unchanged on exit. */
c@427: 
c@427: /*  TRANSB - CHARACTER*1. */
c@427: /*           On entry, TRANSB specifies the form of op( B ) to be used in */
c@427: /*           the matrix multiplication as follows: */
c@427: 
c@427: /*              TRANSB = 'N' or 'n',  op( B ) = B. */
c@427: 
c@427: /*              TRANSB = 'T' or 't',  op( B ) = B'. */
c@427: 
c@427: /*              TRANSB = 'C' or 'c',  op( B ) = B'. */
c@427: 
c@427: /*           Unchanged on exit. */
c@427: 
c@427: /*  M      - INTEGER. */
c@427: /*           On entry,  M  specifies  the number  of rows  of the  matrix */
c@427: /*           op( A )  and of the  matrix  C.  M  must  be at least  zero. */
c@427: /*           Unchanged on exit. */
c@427: 
c@427: /*  N      - INTEGER. */
c@427: /*           On entry,  N  specifies the number  of columns of the matrix */
c@427: /*           op( B ) and the number of columns of the matrix C. N must be */
c@427: /*           at least zero. */
c@427: /*           Unchanged on exit. */
c@427: 
c@427: /*  K      - INTEGER. */
c@427: /*           On entry,  K  specifies  the number of columns of the matrix */
c@427: /*           op( A ) and the number of rows of the matrix op( B ). K must */
c@427: /*           be at least  zero. */
c@427: /*           Unchanged on exit. */
c@427: 
c@427: /*  ALPHA  - DOUBLE PRECISION. */
c@427: /*           On entry, ALPHA specifies the scalar alpha. */
c@427: /*           Unchanged on exit. */
c@427: 
c@427: /*  A      - DOUBLE PRECISION array of DIMENSION ( LDA, ka ), where ka is */
c@427: /*           k  when  TRANSA = 'N' or 'n',  and is  m  otherwise. */
c@427: /*           Before entry with  TRANSA = 'N' or 'n',  the leading  m by k */
c@427: /*           part of the array  A  must contain the matrix  A,  otherwise */
c@427: /*           the leading  k by m  part of the array  A  must contain  the */
c@427: /*           matrix A. */
c@427: /*           Unchanged on exit. */
c@427: 
c@427: /*  LDA    - INTEGER. */
c@427: /*           On entry, LDA specifies the first dimension of A as declared */
c@427: /*           in the calling (sub) program. When  TRANSA = 'N' or 'n' then */
c@427: /*           LDA must be at least  max( 1, m ), otherwise  LDA must be at */
c@427: /*           least  max( 1, k ). */
c@427: /*           Unchanged on exit. */
c@427: 
c@427: /*  B      - DOUBLE PRECISION array of DIMENSION ( LDB, kb ), where kb is */
c@427: /*           n  when  TRANSB = 'N' or 'n',  and is  k  otherwise. */
c@427: /*           Before entry with  TRANSB = 'N' or 'n',  the leading  k by n */
c@427: /*           part of the array  B  must contain the matrix  B,  otherwise */
c@427: /*           the leading  n by k  part of the array  B  must contain  the */
c@427: /*           matrix B. */
c@427: /*           Unchanged on exit. */
c@427: 
c@427: /*  LDB    - INTEGER. */
c@427: /*           On entry, LDB specifies the first dimension of B as declared */
c@427: /*           in the calling (sub) program. When  TRANSB = 'N' or 'n' then */
c@427: /*           LDB must be at least  max( 1, k ), otherwise  LDB must be at */
c@427: /*           least  max( 1, n ). */
c@427: /*           Unchanged on exit. */
c@427: 
c@427: /*  BETA   - DOUBLE PRECISION. */
c@427: /*           On entry,  BETA  specifies the scalar  beta.  When  BETA  is */
c@427: /*           supplied as zero then C need not be set on input. */
c@427: /*           Unchanged on exit. */
c@427: 
c@427: /*  C      - DOUBLE PRECISION array of DIMENSION ( LDC, n ). */
c@427: /*           Before entry, the leading  m by n  part of the array  C must */
c@427: /*           contain the matrix  C,  except when  beta  is zero, in which */
c@427: /*           case C need not be set on entry. */
c@427: /*           On exit, the array  C  is overwritten by the  m by n  matrix */
c@427: /*           ( alpha*op( A )*op( B ) + beta*C ). */
c@427: 
c@427: /*  LDC    - INTEGER. */
c@427: /*           On entry, LDC specifies the first dimension of C as declared */
c@427: /*           in  the  calling  (sub)  program.   LDC  must  be  at  least */
c@427: /*           max( 1, m ). */
c@427: /*           Unchanged on exit. */
c@427: 
c@427: 
c@427: /*  Level 3 Blas routine. */
c@427: 
c@427: /*  -- Written on 8-February-1989. */
c@427: /*     Jack Dongarra, Argonne National Laboratory. */
c@427: /*     Iain Duff, AERE Harwell. */
c@427: /*     Jeremy Du Croz, Numerical Algorithms Group Ltd. */
c@427: /*     Sven Hammarling, Numerical Algorithms Group Ltd. */
c@427: 
c@427: 
c@427: /*     .. External Functions .. */
c@427: /*     .. */
c@427: /*     .. External Subroutines .. */
c@427: /*     .. */
c@427: /*     .. Intrinsic Functions .. */
c@427: /*     .. */
c@427: /*     .. Local Scalars .. */
c@427: /*     .. */
c@427: /*     .. Parameters .. */
c@427: /*     .. */
c@427: 
c@427: /*     Set  NOTA  and  NOTB  as  true if  A  and  B  respectively are not */
c@427: /*     transposed and set  NROWA, NCOLA and  NROWB  as the number of rows */
c@427: /*     and  columns of  A  and the  number of  rows  of  B  respectively. */
c@427: 
c@427:     /* Parameter adjustments */
c@427:     a_dim1 = *lda;
c@427:     a_offset = 1 + a_dim1;
c@427:     a -= a_offset;
c@427:     b_dim1 = *ldb;
c@427:     b_offset = 1 + b_dim1;
c@427:     b -= b_offset;
c@427:     c_dim1 = *ldc;
c@427:     c_offset = 1 + c_dim1;
c@427:     c__ -= c_offset;
c@427: 
c@427:     /* Function Body */
c@427:     nota = lsame_(transa, "N");
c@427:     notb = lsame_(transb, "N");
c@427:     if (nota) {
c@427: 	nrowa = *m;
c@427: 	ncola = *k;
c@427:     } else {
c@427: 	nrowa = *k;
c@427: 	ncola = *m;
c@427:     }
c@427:     if (notb) {
c@427: 	nrowb = *k;
c@427:     } else {
c@427: 	nrowb = *n;
c@427:     }
c@427: 
c@427: /*     Test the input parameters. */
c@427: 
c@427:     info = 0;
c@427:     if (! nota && ! lsame_(transa, "C") && ! lsame_(
c@427: 	    transa, "T")) {
c@427: 	info = 1;
c@427:     } else if (! notb && ! lsame_(transb, "C") && ! 
c@427: 	    lsame_(transb, "T")) {
c@427: 	info = 2;
c@427:     } else if (*m < 0) {
c@427: 	info = 3;
c@427:     } else if (*n < 0) {
c@427: 	info = 4;
c@427:     } else if (*k < 0) {
c@427: 	info = 5;
c@427:     } else if (*lda < max(1,nrowa)) {
c@427: 	info = 8;
c@427:     } else if (*ldb < max(1,nrowb)) {
c@427: 	info = 10;
c@427:     } else if (*ldc < max(1,*m)) {
c@427: 	info = 13;
c@427:     }
c@427:     if (info != 0) {
c@427: 	xerbla_("DGEMM ", &info);
c@427: 	return 0;
c@427:     }
c@427: 
c@427: /*     Quick return if possible. */
c@427: 
c@427:     if (*m == 0 || *n == 0 || (*alpha == 0. || *k == 0) && *beta == 1.) {
c@427: 	return 0;
c@427:     }
c@427: 
c@427: /*     And if  alpha.eq.zero. */
c@427: 
c@427:     if (*alpha == 0.) {
c@427: 	if (*beta == 0.) {
c@427: 	    i__1 = *n;
c@427: 	    for (j = 1; j <= i__1; ++j) {
c@427: 		i__2 = *m;
c@427: 		for (i__ = 1; i__ <= i__2; ++i__) {
c@427: 		    c__[i__ + j * c_dim1] = 0.;
c@427: /* L10: */
c@427: 		}
c@427: /* L20: */
c@427: 	    }
c@427: 	} else {
c@427: 	    i__1 = *n;
c@427: 	    for (j = 1; j <= i__1; ++j) {
c@427: 		i__2 = *m;
c@427: 		for (i__ = 1; i__ <= i__2; ++i__) {
c@427: 		    c__[i__ + j * c_dim1] = *beta * c__[i__ + j * c_dim1];
c@427: /* L30: */
c@427: 		}
c@427: /* L40: */
c@427: 	    }
c@427: 	}
c@427: 	return 0;
c@427:     }
c@427: 
c@427: /*     Start the operations. */
c@427: 
c@427:     if (notb) {
c@427: 	if (nota) {
c@427: 
c@427: /*           Form  C := alpha*A*B + beta*C. */
c@427: 
c@427: 	    i__1 = *n;
c@427: 	    for (j = 1; j <= i__1; ++j) {
c@427: 		if (*beta == 0.) {
c@427: 		    i__2 = *m;
c@427: 		    for (i__ = 1; i__ <= i__2; ++i__) {
c@427: 			c__[i__ + j * c_dim1] = 0.;
c@427: /* L50: */
c@427: 		    }
c@427: 		} else if (*beta != 1.) {
c@427: 		    i__2 = *m;
c@427: 		    for (i__ = 1; i__ <= i__2; ++i__) {
c@427: 			c__[i__ + j * c_dim1] = *beta * c__[i__ + j * c_dim1];
c@427: /* L60: */
c@427: 		    }
c@427: 		}
c@427: 		i__2 = *k;
c@427: 		for (l = 1; l <= i__2; ++l) {
c@427: 		    if (b[l + j * b_dim1] != 0.) {
c@427: 			temp = *alpha * b[l + j * b_dim1];
c@427: 			i__3 = *m;
c@427: 			for (i__ = 1; i__ <= i__3; ++i__) {
c@427: 			    c__[i__ + j * c_dim1] += temp * a[i__ + l * 
c@427: 				    a_dim1];
c@427: /* L70: */
c@427: 			}
c@427: 		    }
c@427: /* L80: */
c@427: 		}
c@427: /* L90: */
c@427: 	    }
c@427: 	} else {
c@427: 
c@427: /*           Form  C := alpha*A'*B + beta*C */
c@427: 
c@427: 	    i__1 = *n;
c@427: 	    for (j = 1; j <= i__1; ++j) {
c@427: 		i__2 = *m;
c@427: 		for (i__ = 1; i__ <= i__2; ++i__) {
c@427: 		    temp = 0.;
c@427: 		    i__3 = *k;
c@427: 		    for (l = 1; l <= i__3; ++l) {
c@427: 			temp += a[l + i__ * a_dim1] * b[l + j * b_dim1];
c@427: /* L100: */
c@427: 		    }
c@427: 		    if (*beta == 0.) {
c@427: 			c__[i__ + j * c_dim1] = *alpha * temp;
c@427: 		    } else {
c@427: 			c__[i__ + j * c_dim1] = *alpha * temp + *beta * c__[
c@427: 				i__ + j * c_dim1];
c@427: 		    }
c@427: /* L110: */
c@427: 		}
c@427: /* L120: */
c@427: 	    }
c@427: 	}
c@427:     } else {
c@427: 	if (nota) {
c@427: 
c@427: /*           Form  C := alpha*A*B' + beta*C */
c@427: 
c@427: 	    i__1 = *n;
c@427: 	    for (j = 1; j <= i__1; ++j) {
c@427: 		if (*beta == 0.) {
c@427: 		    i__2 = *m;
c@427: 		    for (i__ = 1; i__ <= i__2; ++i__) {
c@427: 			c__[i__ + j * c_dim1] = 0.;
c@427: /* L130: */
c@427: 		    }
c@427: 		} else if (*beta != 1.) {
c@427: 		    i__2 = *m;
c@427: 		    for (i__ = 1; i__ <= i__2; ++i__) {
c@427: 			c__[i__ + j * c_dim1] = *beta * c__[i__ + j * c_dim1];
c@427: /* L140: */
c@427: 		    }
c@427: 		}
c@427: 		i__2 = *k;
c@427: 		for (l = 1; l <= i__2; ++l) {
c@427: 		    if (b[j + l * b_dim1] != 0.) {
c@427: 			temp = *alpha * b[j + l * b_dim1];
c@427: 			i__3 = *m;
c@427: 			for (i__ = 1; i__ <= i__3; ++i__) {
c@427: 			    c__[i__ + j * c_dim1] += temp * a[i__ + l * 
c@427: 				    a_dim1];
c@427: /* L150: */
c@427: 			}
c@427: 		    }
c@427: /* L160: */
c@427: 		}
c@427: /* L170: */
c@427: 	    }
c@427: 	} else {
c@427: 
c@427: /*           Form  C := alpha*A'*B' + beta*C */
c@427: 
c@427: 	    i__1 = *n;
c@427: 	    for (j = 1; j <= i__1; ++j) {
c@427: 		i__2 = *m;
c@427: 		for (i__ = 1; i__ <= i__2; ++i__) {
c@427: 		    temp = 0.;
c@427: 		    i__3 = *k;
c@427: 		    for (l = 1; l <= i__3; ++l) {
c@427: 			temp += a[l + i__ * a_dim1] * b[j + l * b_dim1];
c@427: /* L180: */
c@427: 		    }
c@427: 		    if (*beta == 0.) {
c@427: 			c__[i__ + j * c_dim1] = *alpha * temp;
c@427: 		    } else {
c@427: 			c__[i__ + j * c_dim1] = *alpha * temp + *beta * c__[
c@427: 				i__ + j * c_dim1];
c@427: 		    }
c@427: /* L190: */
c@427: 		}
c@427: /* L200: */
c@427: 	    }
c@427: 	}
c@427:     }
c@427: 
c@427:     return 0;
c@427: 
c@427: /*     End of DGEMM . */
c@427: 
c@427: } /* dgemm_ */