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opencv/3rdparty/clapack/src/dgemm.c
T
Vadim Pisarevsky 2ee9d21dae Merge pull request #18571 from vpisarev:add_lapack
Added clapack

* bring a small subset of Lapack, automatically converted to C, into OpenCV

* added missing lsame_ prototype

* * small fix in make_clapack script
* trying to fix remaining CI problems

* fixed character arrays' initializers

* get rid of F2C_STR_MAX

* * added back single-precision versions for QR, LU and Cholesky decompositions. It adds very little extra overhead.
* added stub version of sdesdd.
* uncommented calls to all the single-precision Lapack functions from opencv/core/src/hal_internal.cpp.

* fixed warning from Visual Studio + cleaned f2c runtime a bit

* * regenerated Lapack w/o forward declarations of intrinsic functions (such as sqrt(), r_cnjg() etc.)
* at once, trailing whitespaces are removed from the generated sources, just in case
* since there is no declarations of intrinsic functions anymore, we could turn some of them into inline functions

* trying to eliminate the crash on ARM

* fixed API and semantics of s_copy

* * CLapack has been tested successfully. It's now time to restore the standard LAPACK detection procedure
* removed some more trailing whitespaces

* * retained only the essential stuff in CLapack
* added checks to lapack calls to gracefully return "not implemented" instead of returning invalid results with "ok" status

* disabled warning when building lapack

* cmake: update LAPACK detection

Co-authored-by: Alexander Alekhin <alexander.a.alekhin@gmail.com>
2020-11-05 21:46:51 +00:00

445 lines
11 KiB
C

/* -- translated by f2c (version 20201020 (for_lapack)). -- */
#include "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.
//
//> \date December 2016
//
//> \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, int *m, int *n, int *
k, double *alpha, double *a, int *lda, double *b, int *ldb, double *
beta, double *c__, int *ldc)
{
// System generated locals
int a_dim1, a_offset, b_dim1, b_offset, c_dim1, c_offset, i__1, i__2,
i__3;
// Local variables
int i__, j, l, info;
int nota, notb;
double temp;
int ncola;
extern int lsame_(char *, char *);
int nrowa, nrowb;
extern /* Subroutine */ int xerbla_(char *, int *);
//
// -- Reference BLAS level3 routine (version 3.7.0) --
// -- Reference BLAS is a software package provided by Univ. of Tennessee, --
// -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
// December 2016
//
// .. 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, NCOLA and NROWB as the number of rows
// and columns of A and the number of rows of 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, "N");
notb = lsame_(transb, "N");
if (nota) {
nrowa = *m;
ncola = *k;
} else {
nrowa = *k;
ncola = *m;
}
if (notb) {
nrowb = *k;
} else {
nrowb = *n;
}
//
// Test the input parameters.
//
info = 0;
if (! nota && ! lsame_(transa, "C") && ! lsame_(transa, "T")) {
info = 1;
} else if (! notb && ! lsame_(transb, "C") && ! lsame_(transb, "T")) {
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_("DGEMM ", &info);
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_