/* fortran/dgemm.f -- translated by f2c (version 20200916).
   You must link the resulting object file with libf2c:
        on Microsoft Windows system, link with libf2c.lib;
        on Linux or Unix systems, link with .../path/to/libf2c.a -lm
        or, if you install libf2c.a in a standard place, with -lf2c -lm
        -- in that order, at the end of the command line, as in
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        Source for libf2c is in /netlib/f2c/libf2c.zip, e.g.,

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*/

#ifdef __cplusplus
extern "C" {
#endif
#include "lmp_f2c.h"

/* > \brief \b DGEMM */

/*  =========== DOCUMENTATION =========== */

/* Online html documentation available at */
/*            http://www.netlib.org/lapack/explore-html/ */

/*  Definition: */
/*  =========== */

/*       SUBROUTINE DGEMM(TRANSA,TRANSB,M,N,K,ALPHA,A,LDA,B,LDB,BETA,C,LDC) */

/*       .. Scalar Arguments .. */
/*       DOUBLE PRECISION ALPHA,BETA */
/*       INTEGER K,LDA,LDB,LDC,M,N */
/*       CHARACTER TRANSA,TRANSB */
/*       .. */
/*       .. Array Arguments .. */
/*       DOUBLE PRECISION A(LDA,*),B(LDB,*),C(LDC,*) */
/*       .. */


/* > \par Purpose: */
/*  ============= */
/* > */
/* > \verbatim */
/* > */
/* > DGEMM  performs one of the matrix-matrix operations */
/* > */
/* >    C := alpha*op( A )*op( B ) + beta*C, */
/* > */
/* > where  op( X ) is one of */
/* > */
/* >    op( X ) = X   or   op( X ) = X**T, */
/* > */
/* > alpha and beta are scalars, and A, B and C are matrices, with op( A ) */
/* > an m by k matrix,  op( B )  a  k by n matrix and  C an m by n matrix. */
/* > \endverbatim */

/*  Arguments: */
/*  ========== */

/* > \param[in] TRANSA */
/* > \verbatim */
/* >          TRANSA is 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**T. */
/* > */
/* >              TRANSA = 'C' or 'c',  op( A ) = A**T. */
/* > \endverbatim */
/* > */
/* > \param[in] TRANSB */
/* > \verbatim */
/* >          TRANSB is CHARACTER*1 */
/* >           On entry, TRANSB specifies the form of op( B ) to be used in */
/* >           the matrix multiplication as follows: */
/* > */
/* >              TRANSB = 'N' or 'n',  op( B ) = B. */
/* > */
/* >              TRANSB = 'T' or 't',  op( B ) = B**T. */
/* > */
/* >              TRANSB = 'C' or 'c',  op( B ) = B**T. */
/* > \endverbatim */
/* > */
/* > \param[in] M */
/* > \verbatim */
/* >          M is INTEGER */
/* >           On entry,  M  specifies  the number  of rows  of the  matrix */
/* >           op( A )  and of the  matrix  C.  M  must  be at least  zero. */
/* > \endverbatim */
/* > */
/* > \param[in] N */
/* > \verbatim */
/* >          N is INTEGER */
/* >           On entry,  N  specifies the number  of columns of the matrix */
/* >           op( B ) and the number of columns of the matrix C. N must be */
/* >           at least zero. */
/* > \endverbatim */
/* > */
/* > \param[in] K */
/* > \verbatim */
/* >          K is INTEGER */
/* >           On entry,  K  specifies  the number of columns of the matrix */
/* >           op( A ) and the number of rows of the matrix op( B ). K must */
/* >           be at least  zero. */
/* > \endverbatim */
/* > */
/* > \param[in] ALPHA */
/* > \verbatim */
/* >          ALPHA is DOUBLE PRECISION. */
/* >           On entry, ALPHA specifies the scalar alpha. */
/* > \endverbatim */
/* > */
/* > \param[in] A */
/* > \verbatim */
/* >          A is DOUBLE PRECISION array, dimension ( LDA, ka ), where ka is */
/* >           k  when  TRANSA = 'N' or 'n',  and is  m  otherwise. */
/* >           Before entry with  TRANSA = 'N' or 'n',  the leading  m by k */
/* >           part of the array  A  must contain the matrix  A,  otherwise */
/* >           the leading  k by m  part of the array  A  must contain  the */
/* >           matrix A. */
/* > \endverbatim */
/* > */
/* > \param[in] LDA */
/* > \verbatim */
/* >          LDA is INTEGER */
/* >           On entry, LDA specifies the first dimension of A as declared */
/* >           in the calling (sub) program. When  TRANSA = 'N' or 'n' then */
/* >           LDA must be at least  max( 1, m ), otherwise  LDA must be at */
/* >           least  max( 1, k ). */
/* > \endverbatim */
/* > */
/* > \param[in] B */
/* > \verbatim */
/* >          B is DOUBLE PRECISION array, dimension ( LDB, kb ), where kb is */
/* >           n  when  TRANSB = 'N' or 'n',  and is  k  otherwise. */
/* >           Before entry with  TRANSB = 'N' or 'n',  the leading  k by n */
/* >           part of the array  B  must contain the matrix  B,  otherwise */
/* >           the leading  n by k  part of the array  B  must contain  the */
/* >           matrix B. */
/* > \endverbatim */
/* > */
/* > \param[in] LDB */
/* > \verbatim */
/* >          LDB is INTEGER */
/* >           On entry, LDB specifies the first dimension of B as declared */
/* >           in the calling (sub) program. When  TRANSB = 'N' or 'n' then */
/* >           LDB must be at least  max( 1, k ), otherwise  LDB must be at */
/* >           least  max( 1, n ). */
/* > \endverbatim */
/* > */
/* > \param[in] BETA */
/* > \verbatim */
/* >          BETA is DOUBLE PRECISION. */
/* >           On entry,  BETA  specifies the scalar  beta.  When  BETA  is */
/* >           supplied as zero then C need not be set on input. */
/* > \endverbatim */
/* > */
/* > \param[in,out] C */
/* > \verbatim */
/* >          C is DOUBLE PRECISION array, dimension ( LDC, N ) */
/* >           Before entry, the leading  m by n  part of the array  C must */
/* >           contain the matrix  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  matrix */
/* >           ( alpha*op( A )*op( B ) + beta*C ). */
/* > \endverbatim */
/* > */
/* > \param[in] LDC */
/* > \verbatim */
/* >          LDC is 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 ). */
/* > \endverbatim */

/*  Authors: */
/*  ======== */

/* > \author Univ. of Tennessee */
/* > \author Univ. of California Berkeley */
/* > \author Univ. of Colorado Denver */
/* > \author NAG Ltd. */

/* > \ingroup double_blas_level3 */

/* > \par Further Details: */
/*  ===================== */
/* > */
/* > \verbatim */
/* > */
/* >  Level 3 Blas routine. */
/* > */
/* >  -- Written on 8-February-1989. */
/* >     Jack Dongarra, Argonne National Laboratory. */
/* >     Iain Duff, AERE Harwell. */
/* >     Jeremy Du Croz, Numerical Algorithms Group Ltd. */
/* >     Sven Hammarling, Numerical Algorithms Group Ltd. */
/* > \endverbatim */
/* > */
/*  ===================================================================== */
/* Subroutine */ int dgemm_(char *transa, char *transb, integer *m, integer *
        n, integer *k, doublereal *alpha, doublereal *a, integer *lda,
        doublereal *b, integer *ldb, doublereal *beta, doublereal *c__,
        integer *ldc, ftnlen transa_len, ftnlen transb_len)
{
    /* System generated locals */
    integer a_dim1, a_offset, b_dim1, b_offset, c_dim1, c_offset, i__1, i__2,
            i__3;

    /* Local variables */
    integer i__, j, l, info;
    logical nota, notb;
    doublereal temp;
    extern logical lsame_(char *, char *, ftnlen, ftnlen);
    integer nrowa, nrowb;
    extern /* Subroutine */ int xerbla_(char *, integer *, ftnlen);


/*  -- Reference BLAS level3 routine -- */
/*  -- Reference BLAS is a software package provided by Univ. of Tennessee,    -- */
/*  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..-- */

/*     .. Scalar Arguments .. */
/*     .. */
/*     .. Array Arguments .. */
/*     .. */

/*  ===================================================================== */

/*     .. External Functions .. */
/*     .. */
/*     .. External Subroutines .. */
/*     .. */
/*     .. Intrinsic Functions .. */
/*     .. */
/*     .. Local Scalars .. */
/*     .. */
/*     .. Parameters .. */
/*     .. */

/*     Set  NOTA  and  NOTB  as  true if  A  and  B  respectively are not */
/*     transposed and set  NROWA and NROWB  as the number of rows of  A */
/*     and  B  respectively. */

    /* Parameter adjustments */
    a_dim1 = *lda;
    a_offset = 1 + a_dim1;
    a -= a_offset;
    b_dim1 = *ldb;
    b_offset = 1 + b_dim1;
    b -= b_offset;
    c_dim1 = *ldc;
    c_offset = 1 + c_dim1;
    c__ -= c_offset;

    /* Function Body */
    nota = lsame_(transa, (char *)"N", (ftnlen)1, (ftnlen)1);
    notb = lsame_(transb, (char *)"N", (ftnlen)1, (ftnlen)1);
    if (nota) {
        nrowa = *m;
    } else {
        nrowa = *k;
    }
    if (notb) {
        nrowb = *k;
    } else {
        nrowb = *n;
    }

/*     Test the input parameters. */

    info = 0;
    if (! nota && ! lsame_(transa, (char *)"C", (ftnlen)1, (ftnlen)1) && ! lsame_(
            transa, (char *)"T", (ftnlen)1, (ftnlen)1)) {
        info = 1;
    } else if (! notb && ! lsame_(transb, (char *)"C", (ftnlen)1, (ftnlen)1) && !
            lsame_(transb, (char *)"T", (ftnlen)1, (ftnlen)1)) {
        info = 2;
    } else if (*m < 0) {
        info = 3;
    } else if (*n < 0) {
        info = 4;
    } else if (*k < 0) {
        info = 5;
    } else if (*lda < max(1,nrowa)) {
        info = 8;
    } else if (*ldb < max(1,nrowb)) {
        info = 10;
    } else if (*ldc < max(1,*m)) {
        info = 13;
    }
    if (info != 0) {
        xerbla_((char *)"DGEMM ", &info, (ftnlen)6);
        return 0;
    }

/*     Quick return if possible. */

    if (*m == 0 || *n == 0 || (*alpha == 0. || *k == 0) && *beta == 1.) {
        return 0;
    }

/*     And if  alpha.eq.zero. */

    if (*alpha == 0.) {
        if (*beta == 0.) {
            i__1 = *n;
            for (j = 1; j <= i__1; ++j) {
                i__2 = *m;
                for (i__ = 1; i__ <= i__2; ++i__) {
                    c__[i__ + j * c_dim1] = 0.;
/* L10: */
                }
/* L20: */
            }
        } else {
            i__1 = *n;
            for (j = 1; j <= i__1; ++j) {
                i__2 = *m;
                for (i__ = 1; i__ <= i__2; ++i__) {
                    c__[i__ + j * c_dim1] = *beta * c__[i__ + j * c_dim1];
/* L30: */
                }
/* L40: */
            }
        }
        return 0;
    }

/*     Start the operations. */

    if (notb) {
        if (nota) {

/*           Form  C := alpha*A*B + beta*C. */

            i__1 = *n;
            for (j = 1; j <= i__1; ++j) {
                if (*beta == 0.) {
                    i__2 = *m;
                    for (i__ = 1; i__ <= i__2; ++i__) {
                        c__[i__ + j * c_dim1] = 0.;
/* L50: */
                    }
                } else if (*beta != 1.) {
                    i__2 = *m;
                    for (i__ = 1; i__ <= i__2; ++i__) {
                        c__[i__ + j * c_dim1] = *beta * c__[i__ + j * c_dim1];
/* L60: */
                    }
                }
                i__2 = *k;
                for (l = 1; l <= i__2; ++l) {
                    temp = *alpha * b[l + j * b_dim1];
                    i__3 = *m;
                    for (i__ = 1; i__ <= i__3; ++i__) {
                        c__[i__ + j * c_dim1] += temp * a[i__ + l * a_dim1];
/* L70: */
                    }
/* L80: */
                }
/* L90: */
            }
        } else {

/*           Form  C := alpha*A**T*B + beta*C */

            i__1 = *n;
            for (j = 1; j <= i__1; ++j) {
                i__2 = *m;
                for (i__ = 1; i__ <= i__2; ++i__) {
                    temp = 0.;
                    i__3 = *k;
                    for (l = 1; l <= i__3; ++l) {
                        temp += a[l + i__ * a_dim1] * b[l + j * b_dim1];
/* L100: */
                    }
                    if (*beta == 0.) {
                        c__[i__ + j * c_dim1] = *alpha * temp;
                    } else {
                        c__[i__ + j * c_dim1] = *alpha * temp + *beta * c__[
                                i__ + j * c_dim1];
                    }
/* L110: */
                }
/* L120: */
            }
        }
    } else {
        if (nota) {

/*           Form  C := alpha*A*B**T + beta*C */

            i__1 = *n;
            for (j = 1; j <= i__1; ++j) {
                if (*beta == 0.) {
                    i__2 = *m;
                    for (i__ = 1; i__ <= i__2; ++i__) {
                        c__[i__ + j * c_dim1] = 0.;
/* L130: */
                    }
                } else if (*beta != 1.) {
                    i__2 = *m;
                    for (i__ = 1; i__ <= i__2; ++i__) {
                        c__[i__ + j * c_dim1] = *beta * c__[i__ + j * c_dim1];
/* L140: */
                    }
                }
                i__2 = *k;
                for (l = 1; l <= i__2; ++l) {
                    temp = *alpha * b[j + l * b_dim1];
                    i__3 = *m;
                    for (i__ = 1; i__ <= i__3; ++i__) {
                        c__[i__ + j * c_dim1] += temp * a[i__ + l * a_dim1];
/* L150: */
                    }
/* L160: */
                }
/* L170: */
            }
        } else {

/*           Form  C := alpha*A**T*B**T + beta*C */

            i__1 = *n;
            for (j = 1; j <= i__1; ++j) {
                i__2 = *m;
                for (i__ = 1; i__ <= i__2; ++i__) {
                    temp = 0.;
                    i__3 = *k;
                    for (l = 1; l <= i__3; ++l) {
                        temp += a[l + i__ * a_dim1] * b[j + l * b_dim1];
/* L180: */
                    }
                    if (*beta == 0.) {
                        c__[i__ + j * c_dim1] = *alpha * temp;
                    } else {
                        c__[i__ + j * c_dim1] = *alpha * temp + *beta * c__[
                                i__ + j * c_dim1];
                    }
/* L190: */
                }
/* L200: */
            }
        }
    }

    return 0;

/*     End of DGEMM */

} /* dgemm_ */

#ifdef __cplusplus
        }
#endif