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https://github.com/opencv/opencv.git
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2ee9d21dae
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>
368 lines
8.9 KiB
C
368 lines
8.9 KiB
C
/* -- translated by f2c (version 20201020 (for_lapack)). -- */
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#include "f2c.h"
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//> \brief \b DCOMBSSQ adds two scaled sum of squares quantities.
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//
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// =========== DOCUMENTATION ===========
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//
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// Online html documentation available at
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// http://www.netlib.org/lapack/explore-html/
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//
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//
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// Definition:
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// ===========
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//
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// SUBROUTINE DCOMBSSQ( V1, V2 )
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//
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// .. Array Arguments ..
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// DOUBLE PRECISION V1( 2 ), V2( 2 )
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// ..
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//
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//
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//> \par Purpose:
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// =============
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//>
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//> \verbatim
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//>
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//> DCOMBSSQ adds two scaled sum of squares quantities, V1 := V1 + V2.
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//> That is,
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//>
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//> V1_scale**2 * V1_sumsq := V1_scale**2 * V1_sumsq
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//> + V2_scale**2 * V2_sumsq
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//> \endverbatim
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//
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// Arguments:
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// ==========
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//
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//> \param[in,out] V1
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//> \verbatim
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//> V1 is DOUBLE PRECISION array, dimension (2).
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//> The first scaled sum.
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//> V1(1) = V1_scale, V1(2) = V1_sumsq.
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//> \endverbatim
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//>
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//> \param[in] V2
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//> \verbatim
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//> V2 is DOUBLE PRECISION array, dimension (2).
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//> The second scaled sum.
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//> V2(1) = V2_scale, V2(2) = V2_sumsq.
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//> \endverbatim
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//
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// Authors:
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// ========
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//
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//> \author Univ. of Tennessee
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//> \author Univ. of California Berkeley
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//> \author Univ. of Colorado Denver
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//> \author NAG Ltd.
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//
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//> \date November 2018
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//
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//> \ingroup OTHERauxiliary
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//
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// =====================================================================
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/* Subroutine */ int dcombssq_(double *v1, double *v2)
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{
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// System generated locals
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double d__1;
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//
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// -- LAPACK auxiliary routine (version 3.7.0) --
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// -- LAPACK is a software package provided by Univ. of Tennessee, --
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// -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
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// November 2018
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//
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// .. Array Arguments ..
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// ..
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//
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//=====================================================================
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//
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// .. Parameters ..
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// ..
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// .. Executable Statements ..
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//
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// Parameter adjustments
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--v2;
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--v1;
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// Function Body
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if (v1[1] >= v2[1]) {
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if (v1[1] != 0.) {
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// Computing 2nd power
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d__1 = v2[1] / v1[1];
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v1[2] += d__1 * d__1 * v2[2];
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}
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} else {
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// Computing 2nd power
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d__1 = v1[1] / v2[1];
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v1[2] = v2[2] + d__1 * d__1 * v1[2];
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v1[1] = v2[1];
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}
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return 0;
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//
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// End of DCOMBSSQ
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//
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} // dcombssq_
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/* -- translated by f2c (version 20201020 (for_lapack)). -- */
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//> \brief \b DLANGE returns the value of the 1-norm, Frobenius norm, infinity-norm, or the largest absolute value of any element of a general rectangular matrix.
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//
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// =========== DOCUMENTATION ===========
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//
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// Online html documentation available at
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// http://www.netlib.org/lapack/explore-html/
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//
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//> \htmlonly
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//> Download DLANGE + dependencies
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//> <a href="http://www.netlib.org/cgi-bin/netlibfiles.tgz?format=tgz&filename=/lapack/lapack_routine/dlange.f">
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//> [TGZ]</a>
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//> <a href="http://www.netlib.org/cgi-bin/netlibfiles.zip?format=zip&filename=/lapack/lapack_routine/dlange.f">
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//> [ZIP]</a>
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//> <a href="http://www.netlib.org/cgi-bin/netlibfiles.txt?format=txt&filename=/lapack/lapack_routine/dlange.f">
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//> [TXT]</a>
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//> \endhtmlonly
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//
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// Definition:
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// ===========
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//
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// DOUBLE PRECISION FUNCTION DLANGE( NORM, M, N, A, LDA, WORK )
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//
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// .. Scalar Arguments ..
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// CHARACTER NORM
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// INTEGER LDA, M, N
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// ..
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// .. Array Arguments ..
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// DOUBLE PRECISION A( LDA, * ), WORK( * )
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// ..
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//
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//
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//> \par Purpose:
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// =============
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//>
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//> \verbatim
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//>
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//> DLANGE returns the value of the one norm, or the Frobenius norm, or
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//> the infinity norm, or the element of largest absolute value of a
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//> real matrix A.
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//> \endverbatim
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//>
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//> \return DLANGE
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//> \verbatim
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//>
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//> DLANGE = ( max(abs(A(i,j))), NORM = 'M' or 'm'
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//> (
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//> ( norm1(A), NORM = '1', 'O' or 'o'
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//> (
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//> ( normI(A), NORM = 'I' or 'i'
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//> (
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//> ( normF(A), NORM = 'F', 'f', 'E' or 'e'
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//>
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//> where norm1 denotes the one norm of a matrix (maximum column sum),
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//> normI denotes the infinity norm of a matrix (maximum row sum) and
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//> normF denotes the Frobenius norm of a matrix (square root of sum of
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//> squares). Note that max(abs(A(i,j))) is not a consistent matrix norm.
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//> \endverbatim
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//
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// Arguments:
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// ==========
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//
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//> \param[in] NORM
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//> \verbatim
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//> NORM is CHARACTER*1
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//> Specifies the value to be returned in DLANGE as described
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//> above.
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//> \endverbatim
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//>
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//> \param[in] M
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//> \verbatim
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//> M is INTEGER
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//> The number of rows of the matrix A. M >= 0. When M = 0,
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//> DLANGE is set to zero.
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//> \endverbatim
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//>
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//> \param[in] N
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//> \verbatim
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//> N is INTEGER
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//> The number of columns of the matrix A. N >= 0. When N = 0,
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//> DLANGE is set to zero.
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//> \endverbatim
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//>
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//> \param[in] A
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//> \verbatim
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//> A is DOUBLE PRECISION array, dimension (LDA,N)
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//> The m by n matrix A.
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//> \endverbatim
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//>
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//> \param[in] LDA
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//> \verbatim
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//> LDA is INTEGER
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//> The leading dimension of the array A. LDA >= max(M,1).
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//> \endverbatim
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//>
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//> \param[out] WORK
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//> \verbatim
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//> WORK is DOUBLE PRECISION array, dimension (MAX(1,LWORK)),
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//> where LWORK >= M when NORM = 'I'; otherwise, WORK is not
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//> referenced.
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//> \endverbatim
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//
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// Authors:
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// ========
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//
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//> \author Univ. of Tennessee
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//> \author Univ. of California Berkeley
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//> \author Univ. of Colorado Denver
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//> \author NAG Ltd.
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//
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//> \date December 2016
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//
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//> \ingroup doubleGEauxiliary
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//
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// =====================================================================
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double dlange_(char *norm, int *m, int *n, double *a, int *lda, double *work)
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{
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// Table of constant values
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int c__1 = 1;
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// System generated locals
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int a_dim1, a_offset, i__1, i__2;
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double ret_val, d__1;
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// Local variables
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extern /* Subroutine */ int dcombssq_(double *, double *);
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int i__, j;
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double sum, ssq[2], temp;
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extern int lsame_(char *, char *);
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double value;
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extern int disnan_(double *);
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extern /* Subroutine */ int dlassq_(int *, double *, int *, double *,
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double *);
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double colssq[2];
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//
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// -- LAPACK auxiliary routine (version 3.7.0) --
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// -- LAPACK is a software package provided by Univ. of Tennessee, --
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// -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
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// December 2016
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//
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// .. Scalar Arguments ..
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// ..
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// .. Array Arguments ..
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// ..
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//
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//=====================================================================
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//
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// .. Parameters ..
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// ..
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// .. Local Scalars ..
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// ..
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// .. Local Arrays ..
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// ..
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// .. External Subroutines ..
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// ..
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// .. External Functions ..
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// ..
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// .. Intrinsic Functions ..
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// ..
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// .. Executable Statements ..
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//
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// Parameter adjustments
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a_dim1 = *lda;
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a_offset = 1 + a_dim1;
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a -= a_offset;
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--work;
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// Function Body
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if (min(*m,*n) == 0) {
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value = 0.;
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} else if (lsame_(norm, "M")) {
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//
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// Find max(abs(A(i,j))).
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//
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value = 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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temp = (d__1 = a[i__ + j * a_dim1], abs(d__1));
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if (value < temp || disnan_(&temp)) {
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value = temp;
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}
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// L10:
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}
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// L20:
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}
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} else if (lsame_(norm, "O") || *(unsigned char *)norm == '1') {
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//
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// Find norm1(A).
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//
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value = 0.;
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i__1 = *n;
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for (j = 1; j <= i__1; ++j) {
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sum = 0.;
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i__2 = *m;
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for (i__ = 1; i__ <= i__2; ++i__) {
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sum += (d__1 = a[i__ + j * a_dim1], abs(d__1));
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// L30:
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}
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if (value < sum || disnan_(&sum)) {
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value = sum;
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}
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// L40:
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}
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} else if (lsame_(norm, "I")) {
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//
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// Find normI(A).
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//
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i__1 = *m;
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for (i__ = 1; i__ <= i__1; ++i__) {
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work[i__] = 0.;
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// L50:
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}
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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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work[i__] += (d__1 = a[i__ + j * a_dim1], abs(d__1));
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// L60:
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}
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// L70:
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}
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value = 0.;
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i__1 = *m;
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for (i__ = 1; i__ <= i__1; ++i__) {
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temp = work[i__];
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if (value < temp || disnan_(&temp)) {
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value = temp;
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}
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// L80:
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}
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} else if (lsame_(norm, "F") || lsame_(norm, "E")) {
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//
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// Find normF(A).
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// SSQ(1) is scale
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// SSQ(2) is sum-of-squares
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// For better accuracy, sum each column separately.
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//
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ssq[0] = 0.;
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ssq[1] = 1.;
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i__1 = *n;
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for (j = 1; j <= i__1; ++j) {
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colssq[0] = 0.;
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colssq[1] = 1.;
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dlassq_(m, &a[j * a_dim1 + 1], &c__1, colssq, &colssq[1]);
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dcombssq_(ssq, colssq);
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// L90:
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}
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value = ssq[0] * sqrt(ssq[1]);
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}
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ret_val = value;
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return ret_val;
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//
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// End of DLANGE
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//
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} // dlange_
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