mathlib-lapack-svd.c
1 //! @file mathlib-lapack-svd.c
2 //
3 //! @section copyright
4 //
5 // This file is part of VIF - vintage fortran compiler.
6 // Copyright 2020-2025 J. Marcel van der Veer <algol68g@xs4all.nl>.
7 //
8 //! @section license
9 //
10 // This program is free software; you can redistribute it and/or modify it
11 // under the terms of the gnu general public license as published by the
12 // free software foundation; either version 3 of the license, or
13 // (at your option) any later version.
14 //
15 // This program is distributed in the hope that it will be useful, but
16 // without any warranty; without even the implied warranty of merchantability
17 // or fitness for a particular purpose. See the GNU general public license for
18 // more details. you should have received a copy of the GNU general public
19 // license along with this program. If not, see <http://www.gnu.org/licenses/>.
20 //
21 //! @Synopsis
22 //
23 //! 85 subprograms from LAPACK-SVD
24
25 // Compiled from Fortran source code by VIF.
26 // Selected subprograms are:
27 //
28 // DBDSDC DGELSS DGSVJ1 DLALSA DLARF DLASD2 DLASDQ DLASQ6 DORGBR DORMQR
29 // DBDSQR DGEQP3 DISNAN DLALSD DLARFB DLASD3 DLASDT DLASR DORGL2 DPOCON
30 // DCOMBS DGEQR2 DLABAD DLAMRG DLARFG DLASD4 DLASET DLASRT DORGLQ DRSCL
31 // DGEBD2 DGEQRF DLABRD DLANGE DLARFT DLASD5 DLASQ1 DLASSQ DORGQR IEEECK
32 // DGEBRD DGESDD DLACN2 DLANST DLARTG DLASD6 DLASQ2 DLASV2 DORM2R ILADLC
33 // DGEJSV DGESVD DLACPY DLAPMT DLAS2 DLASD7 DLASQ3 DLASWP DORMBR ILADLR
34 // DGELQ2 DGESVD DLAED6 DLAPY2 DLASCL DLASD8 DLASQ4 DLATRS DORML2 ILAENV
35 // DGELQF DGESVJ DLAISN DLAQP2 DLASD0 DLASDA DLASQ5 DORG2R DORMLQ IPARMQ
36 // DGELSD DGSVJ0 DLALS0 DLAQPS DLASD1
37
38 // Selected SVD functionality from LAPACK.
39 //
40 // The original code is F90 from 2023, but could be made to compile
41 // with VIF trivially.
42 //
43 // Included LAPACK routines of interest to VIF are:
44 //
45 // DGEJSV
46 // DGELSD
47 // DGELSS
48 // DGESDD
49 // DGESVD
50 // DGESVDQ
51 // DGESVJ
52 //
53 // Source: netlib.org/lapack
54 // LAPACK 3.12.0
55
56 // The license for LAPACK Fortran source code is:
57 //
58 // Copyright (c) 1992-2013 The University of Tennessee and The University
59 // of Tennessee Research Foundation. All rights
60 // reserved.
61 // Copyright (c) 2000-2013 The University of California Berkeley. All
62 // rights reserved.
63 // Copyright (c) 2006-2013 The University of Colorado Denver. All rights
64 // reserved.
65 //
66 // $COPYRIGHT$
67 //
68 // Additional copyrights may follow
69 //
70 // $HEADER$
71 //
72 // Redistribution and use in source and binary forms, with or without
73 // modification, are permitted provided that the following conditions are
74 // met:
75 //
76 // - Redistributions of source code must retain the above copyright
77 // notice, this list of conditions and the following disclaimer.
78 //
79 // - Redistributions in binary form must reproduce the above copyright
80 // notice, this list of conditions and the following disclaimer listed
81 // in this license in the documentation and/or other materials
82 // provided with the distribution.
83 //
84 // - Neither the name of the copyright holders nor the names of its
85 // contributors may be used to endorse or promote products derived from
86 // this software without specific prior written permission.
87 //
88 // The copyright holders provide no reassurances that the source code
89 // provided does not infringe any patent, copyright, or any other
90 // intellectual property rights of third parties. The copyright holders
91 // disclaim any liability to any recipient for claims brought against
92 // recipient by any third party for infringement of that parties
93 // intellectual property rights.
94 //
95 // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
96 // "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
97 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
98 // A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
99 // OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
100 // SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
101 // LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
102 // DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
103 // THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
104 // (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
105 // OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
106 // `
107
108 /*
109 Generated by VIF - experimental VIntage Fortran compiler.
110 VIF release 1.2.12
111 */
264 static CALLS __calls[__ncalls] = {
265 {"dbdsdc", 0}, // subroutine
266 {"dbdsqr", 0}, // subroutine
267 {"dcombssq", 0}, // subroutine
268 {"dgebd2", 0}, // subroutine
269 {"dgebrd", 0}, // subroutine
270 {"dgejsv", 0}, // subroutine
271 {"dgelq2", 0}, // subroutine
272 {"dgelqf", 0}, // subroutine
273 {"dgelsd", 0}, // subroutine
274 {"dgelss", 0}, // subroutine
275 {"dgeqp3", 0}, // subroutine
276 {"dgeqr2", 0}, // subroutine
277 {"dgeqrf", 0}, // subroutine
278 {"dgesdd", 0}, // subroutine
279 {"dgesvd", 0}, // subroutine
280 {"dgesvdq", 0}, // subroutine
281 {"dgesvj", 0}, // subroutine
282 {"dgsvj0", 0}, // subroutine
283 {"dgsvj1", 0}, // subroutine
284 {"disnan", 0}, // logical*4 function
285 {"dlabad", 0}, // subroutine
286 {"dlabrd", 0}, // subroutine
287 {"dlacn2", 0}, // subroutine
288 {"dlacpy", 0}, // subroutine
289 {"dlaed6", 0}, // subroutine
290 {"dlaisnan", 0}, // logical*4 function
291 {"dlals0", 0}, // subroutine
292 {"dlalsa", 0}, // subroutine
293 {"dlalsd", 0}, // subroutine
294 {"dlamrg", 0}, // subroutine
295 {"dlange", 0}, // real*8 function
296 {"dlanst", 0}, // real*8 function
297 {"dlapmt", 0}, // subroutine
298 {"dlapy2", 0}, // real*8 function
299 {"dlaqp2", 0}, // subroutine
300 {"dlaqps", 0}, // subroutine
301 {"dlarfb", 0}, // subroutine
302 {"dlarf", 0}, // subroutine
303 {"dlarfg", 0}, // subroutine
304 {"dlarft", 0}, // subroutine
305 {"dlartg", 0}, // subroutine
306 {"dlas2", 0}, // subroutine
307 {"dlascl", 0}, // subroutine
308 {"dlasd0", 0}, // subroutine
309 {"dlasd1", 0}, // subroutine
310 {"dlasd2", 0}, // subroutine
311 {"dlasd3", 0}, // subroutine
312 {"dlasd4", 0}, // subroutine
313 {"dlasd5", 0}, // subroutine
314 {"dlasd6", 0}, // subroutine
315 {"dlasd7", 0}, // subroutine
316 {"dlasd8", 0}, // subroutine
317 {"dlasda", 0}, // subroutine
318 {"dlasdq", 0}, // subroutine
319 {"dlasdt", 0}, // subroutine
320 {"dlaset", 0}, // subroutine
321 {"dlasq1", 0}, // subroutine
322 {"dlasq2", 0}, // subroutine
323 {"dlasq3", 0}, // subroutine
324 {"dlasq4", 0}, // subroutine
325 {"dlasq5", 0}, // subroutine
326 {"dlasq6", 0}, // subroutine
327 {"dlasr", 0}, // subroutine
328 {"dlasrt", 0}, // subroutine
329 {"dlassq", 0}, // subroutine
330 {"dlasv2", 0}, // subroutine
331 {"dlaswp", 0}, // subroutine
332 {"dlatrs", 0}, // subroutine
333 {"dorg2r", 0}, // subroutine
334 {"dorgbr", 0}, // subroutine
335 {"dorgl2", 0}, // subroutine
336 {"dorglq", 0}, // subroutine
337 {"dorgqr", 0}, // subroutine
338 {"dorm2r", 0}, // subroutine
339 {"dormbr", 0}, // subroutine
340 {"dorml2", 0}, // subroutine
341 {"dormlq", 0}, // subroutine
342 {"dormqr", 0}, // subroutine
343 {"dpocon", 0}, // subroutine
344 {"drscl", 0}, // subroutine
345 {"ieeeck", 0}, // integer*4 function
346 {"iladlc", 0}, // integer*4 function
347 {"iladlr", 0}, // integer*4 function
348 {"ilaenv", 0}, // integer*4 function
349 {"iparmq", 0}, // integer*4 function
350 {NULL, 0}
351 };
352
354 int_4 _p_ ldu_, real_8 _p_ vt_, int_4 _p_ ldvt_, real_8 _p_ q_, int_4 _p_ iq_, real_8 _p_ work_, int_4 _p_ iwork_,
355 int_4 _p_ info_);
357 real_8 _p_ e_, real_8 _p_ vt_, int_4 _p_ ldvt_, real_8 _p_ u_, int_4 _p_ ldu_, real_8 _p_ c_, int_4 _p_ ldc_, real_8
358 _p_ work_, int_4 _p_ info_);
361 real_8 _p_ tauq_, real_8 _p_ taup_, real_8 _p_ work_, int_4 _p_ info_);
363 real_8 _p_ tauq_, real_8 _p_ taup_, real_8 _p_ work_, int_4 _p_ lwork_, int_4 _p_ info_);
365 , int_4 _p_ m_, int_4 _p_ n_, real_8 _p_ a_, int_4 _p_ lda_, real_8 _p_ sva_, real_8 _p_ u_, int_4 _p_ ldu_, real_8 _p_
366 v_, int_4 _p_ ldv_, real_8 _p_ work_, int_4 _p_ lwork_, int_4 _p_ iwork_, int_4 _p_ info_);
368 int_4 _p_ info_);
370 int_4 _p_ lwork_, int_4 _p_ info_);
372 int_4 _p_ ldb_, real_8 _p_ s_, real_8 _p_ rcond_, int_4 _p_ rank_, real_8 _p_ work_, int_4 _p_ lwork_, int_4 _p_ iwork_
373 , int_4 _p_ info_);
375 int_4 _p_ ldb_, real_8 _p_ s_, real_8 _p_ rcond_, int_4 _p_ rank_, real_8 _p_ work_, int_4 _p_ lwork_, int_4 _p_ info_)
376 ;
378 real_8 _p_ work_, int_4 _p_ lwork_, int_4 _p_ info_);
380 int_4 _p_ info_);
382 int_4 _p_ lwork_, int_4 _p_ info_);
384 real_8 _p_ u_, int_4 _p_ ldu_, real_8 _p_ vt_, int_4 _p_ ldvt_, real_8 _p_ work_, int_4 _p_ lwork_, int_4 _p_ iwork_,
385 int_4 _p_ info_);
387 real_8 _p_ s_, real_8 _p_ u_, int_4 _p_ ldu_, real_8 _p_ vt_, int_4 _p_ ldvt_, real_8 _p_ work_, int_4 _p_ lwork_,
388 int_4 _p_ info_);
390 int_4 _p_ n_, real_8 _p_ a_, int_4 _p_ lda_, real_8 _p_ s_, real_8 _p_ u_, int_4 _p_ ldu_, real_8 _p_ v_, int_4 _p_
391 ldv_, int_4 _p_ numrank_, int_4 _p_ iwork_, int_4 _p_ liwork_, real_8 _p_ work_, int_4 _p_ lwork_, real_8 _p_ rwork_,
392 int_4 _p_ lrwork_, int_4 _p_ info_);
394 int_4 _p_ lda_, real_8 _p_ sva_, int_4 _p_ mv_, real_8 _p_ v_, int_4 _p_ ldv_, real_8 _p_ work_, int_4 _p_ lwork_,
395 int_4 _p_ info_);
397 real_8 _p_ sva_, int_4 _p_ mv_, real_8 _p_ v_, int_4 _p_ ldv_, real_8 _p_ eps_, real_8 _p_ sfmin_, real_8 _p_ tol_,
398 int_4 _p_ nsweep_, real_8 _p_ work_, int_4 _p_ lwork_, int_4 _p_ info_);
400 real_8 _p_ d_, real_8 _p_ sva_, int_4 _p_ mv_, real_8 _p_ v_, int_4 _p_ ldv_, real_8 _p_ eps_, real_8 _p_ sfmin_,
401 real_8 _p_ tol_, int_4 _p_ nsweep_, real_8 _p_ work_, int_4 _p_ lwork_, int_4 _p_ info_);
405 real_8 _p_ e_, real_8 _p_ tauq_, real_8 _p_ taup_, real_8 _p_ x_, int_4 _p_ ldx_, real_8 _p_ y_, int_4 _p_ ldy_);
407 int_4 _p_ isave_);
409 int_4 _p_ ldb_);
411 real_8 _p_ finit_, real_8 _p_ tau_, int_4 _p_ info_);
414 b_, int_4 _p_ ldb_, real_8 _p_ bx_, int_4 _p_ ldbx_, int_4 _p_ perm_, int_4 _p_ givptr_, int_4 _p_ givcol_, int_4 _p_
415 ldgcol_, real_8 _p_ givnum_, int_4 _p_ ldgnum_, real_8 _p_ poles_, real_8 _p_ difl_, real_8 _p_ difr_, real_8 _p_ z_,
416 int_4 _p_ k_, real_8 _p_ c_, real_8 _p_ s_, real_8 _p_ work_, int_4 _p_ info_);
418 ldb_, real_8 _p_ bx_, int_4 _p_ ldbx_, real_8 _p_ u_, int_4 _p_ ldu_, real_8 _p_ vt_, int_4 _p_ k_, real_8 _p_ difl_,
419 real_8 _p_ difr_, real_8 _p_ z_, real_8 _p_ poles_, int_4 _p_ givptr_, int_4 _p_ givcol_, int_4 _p_ ldgcol_, int_4 _p_
420 perm_, real_8 _p_ givnum_, real_8 _p_ c_, real_8 _p_ s_, real_8 _p_ work_, int_4 _p_ iwork_, int_4 _p_ info_);
422 , real_8 _p_ b_, int_4 _p_ ldb_, real_8 _p_ rcond_, int_4 _p_ rank_, real_8 _p_ work_, int_4 _p_ iwork_, int_4 _p_
423 info_);
425 index_);
429 );
432 real_8 _p_ tau_, real_8 _p_ vn1_, real_8 _p_ vn2_, real_8 _p_ work_);
434 int_4 _p_ lda_, int_4 _p_ jpvt_, real_8 _p_ tau_, real_8 _p_ vn1_, real_8 _p_ vn2_, real_8 _p_ auxv_, real_8 _p_ f_,
435 int_4 _p_ ldf_);
437 n_, int_4 _p_ k_, real_8 _p_ v_, int_4 _p_ ldv_, real_8 _p_ t_, int_4 _p_ ldt_, real_8 _p_ c_, int_4 _p_ ldc_, real_8
438 _p_ work_, int_4 _p_ ldwork_);
440 real_8 _p_ c_, int_4 _p_ ldc_, real_8 _p_ work_);
443 real_8 _p_ tau_, real_8 _p_ t_, int_4 _p_ ldt_);
447 , int_4 _p_ n_, real_8 _p_ a_, int_4 _p_ lda_, int_4 _p_ info_);
449 real_8 _p_ vt_, int_4 _p_ ldvt_, int_4 _p_ smlsiz_, int_4 _p_ iwork_, real_8 _p_ work_, int_4 _p_ info_);
451 beta_, real_8 _p_ u_, int_4 _p_ ldu_, real_8 _p_ vt_, int_4 _p_ ldvt_, int_4 _p_ idxq_, int_4 _p_ iwork_, real_8 _p_
452 work_, int_4 _p_ info_);
454 real_8 _p_ alpha_, real_8 _p_ beta_, real_8 _p_ u_, int_4 _p_ ldu_, real_8 _p_ vt_, int_4 _p_ ldvt_, real_8 _p_ dsigma_
455 , real_8 _p_ u2_, int_4 _p_ ldu2_, real_8 _p_ vt2_, int_4 _p_ ldvt2_, int_4 _p_ idxp_, int_4 _p_ idx_, int_4 _p_ idxc_,
456 int_4 _p_ idxq_, int_4 _p_ coltyp_, int_4 _p_ info_);
458 int_4 _p_ ldq_, real_8 _p_ dsigma_, real_8 _p_ u_, int_4 _p_ ldu_, real_8 _p_ u2_, int_4 _p_ ldu2_, real_8 _p_ vt_,
459 int_4 _p_ ldvt_, real_8 _p_ vt2_, int_4 _p_ ldvt2_, int_4 _p_ idxc_, int_4 _p_ ctot_, real_8 _p_ z_, int_4 _p_ info_);
461 real_8 _p_ sigma_, real_8 _p_ work_, int_4 _p_ info_);
463 dsigma_, real_8 _p_ work_);
465 vf_, real_8 _p_ vl_, real_8 _p_ alpha_, real_8 _p_ beta_, int_4 _p_ idxq_, int_4 _p_ perm_, int_4 _p_ givptr_, int_4
466 _p_ givcol_, int_4 _p_ ldgcol_, real_8 _p_ givnum_, int_4 _p_ ldgnum_, real_8 _p_ poles_, real_8 _p_ difl_, real_8 _p_
467 difr_, real_8 _p_ z_, int_4 _p_ k_, real_8 _p_ c_, real_8 _p_ s_, real_8 _p_ work_, int_4 _p_ iwork_, int_4 _p_ info_);
469 real_8 _p_ z_, real_8 _p_ zw_, real_8 _p_ vf_, real_8 _p_ vfw_, real_8 _p_ vl_, real_8 _p_ vlw_, real_8 _p_ alpha_,
470 real_8 _p_ beta_, real_8 _p_ dsigma_, int_4 _p_ idx_, int_4 _p_ idxp_, int_4 _p_ idxq_, int_4 _p_ perm_, int_4 _p_
471 givptr_, int_4 _p_ givcol_, int_4 _p_ ldgcol_, real_8 _p_ givnum_, int_4 _p_ ldgnum_, real_8 _p_ c_, real_8 _p_ s_,
472 int_4 _p_ info_);
474 real_8 _p_ difl_, real_8 _p_ difr_, int_4 _p_ lddifr_, real_8 _p_ dsigma_, real_8 _p_ work_, int_4 _p_ info_);
476 e_, real_8 _p_ u_, int_4 _p_ ldu_, real_8 _p_ vt_, int_4 _p_ k_, real_8 _p_ difl_, real_8 _p_ difr_, real_8 _p_ z_,
477 real_8 _p_ poles_, int_4 _p_ givptr_, int_4 _p_ givcol_, int_4 _p_ ldgcol_, int_4 _p_ perm_, real_8 _p_ givnum_, real_8
478 _p_ c_, real_8 _p_ s_, real_8 _p_ work_, int_4 _p_ iwork_, int_4 _p_ info_);
480 , real_8 _p_ d_, real_8 _p_ e_, real_8 _p_ vt_, int_4 _p_ ldvt_, real_8 _p_ u_, int_4 _p_ ldu_, real_8 _p_ c_, int_4
481 _p_ ldc_, real_8 _p_ work_, int_4 _p_ info_);
483 ndimr_, int_4 _p_ msub_);
485 , int_4 _p_ lda_);
489 sigma_, real_8 _p_ desig_, real_8 _p_ qmax_, int_4 _p_ nfail_, int_4 _p_ iter_, int_4 _p_ ndiv_, logical_4 _p_ ieee_,
490 int_4 _p_ ttype_, real_8 _p_ dmin1_, real_8 _p_ dmin2_, real_8 _p_ dn_, real_8 _p_ dn1_, real_8 _p_ dn2_, real_8 _p_ g_
491 , real_8 _p_ tau_);
493 real_8 _p_ dmin1_, real_8 _p_ dmin2_, real_8 _p_ dn_, real_8 _p_ dn1_, real_8 _p_ dn2_, real_8 _p_ tau_, int_4 _p_
494 ttype_, real_8 _p_ g_);
496 , real_8 _p_ dmin_, real_8 _p_ dmin1_, real_8 _p_ dmin2_, real_8 _p_ dn_, real_8 _p_ dnm1_, real_8 _p_ dnm2_, logical_4
497 _p_ ieee_, real_8 _p_ eps_);
499 dmin1_, real_8 _p_ dmin2_, real_8 _p_ dn_, real_8 _p_ dnm1_, real_8 _p_ dnm2_);
501 real_8 _p_ s_, real_8 _p_ a_, int_4 _p_ lda_);
505 snr_, real_8 _p_ csr_, real_8 _p_ snl_, real_8 _p_ csl_);
507 int_4 _p_ incx_);
509 , int_4 _p_ lda_, real_8 _p_ x_, real_8 _p_ scale_, real_8 _p_ cnorm_, int_4 _p_ info_);
511 real_8 _p_ work_, int_4 _p_ info_);
513 real_8 _p_ tau_, real_8 _p_ work_, int_4 _p_ lwork_, int_4 _p_ info_);
515 real_8 _p_ work_, int_4 _p_ info_);
517 real_8 _p_ work_, int_4 _p_ lwork_, int_4 _p_ info_);
519 real_8 _p_ work_, int_4 _p_ lwork_, int_4 _p_ info_);
521 int_4 _p_ lda_, real_8 _p_ tau_, real_8 _p_ c_, int_4 _p_ ldc_, real_8 _p_ work_, int_4 _p_ info_);
523 real_8 _p_ a_, int_4 _p_ lda_, real_8 _p_ tau_, real_8 _p_ c_, int_4 _p_ ldc_, real_8 _p_ work_, int_4 _p_ lwork_,
524 int_4 _p_ info_);
526 int_4 _p_ lda_, real_8 _p_ tau_, real_8 _p_ c_, int_4 _p_ ldc_, real_8 _p_ work_, int_4 _p_ info_);
528 int_4 _p_ lda_, real_8 _p_ tau_, real_8 _p_ c_, int_4 _p_ ldc_, real_8 _p_ work_, int_4 _p_ lwork_, int_4 _p_ info_);
530 int_4 _p_ lda_, real_8 _p_ tau_, real_8 _p_ c_, int_4 _p_ ldc_, real_8 _p_ work_, int_4 _p_ lwork_, int_4 _p_ info_);
532 rcond_, real_8 _p_ work_, int_4 _p_ iwork_, int_4 _p_ info_);
538 int_4 _p_ n4_);
540 , int_4 _p_ lwork_);
541 int_4 _dbdsdc (char _p_ uplo_, char _p_ compq_, int_4 _p_ n_, real_8 _p_ d_, real_8 _p_ e_, real_8 _p_ u_, int_4 _p_
542 ldu_, real_8 _p_ vt_, int_4 _p_ ldvt_, real_8 _p_ q_, int_4 _p_ iq_, real_8 _p_ work_, int_4 _p_ iwork_, int_4 _p_
543 info_)
544 { // ** body not listed **
772 }
773
774 int_4 _dbdsqr (char _p_ uplo_, int_4 _p_ n_, int_4 _p_ ncvt_, int_4 _p_ nru_, int_4 _p_ ncc_, real_8 _p_ d_, real_8 _p_
775 e_, real_8 _p_ vt_, int_4 _p_ ldvt_, real_8 _p_ u_, int_4 _p_ ldu_, real_8 _p_ c_, int_4 _p_ ldc_, real_8 _p_ work_,
776 int_4 _p_ info_)
777 { // ** body not listed **
1214 }
1215
1216 int_4 _dcombssq (real_8 _p_ v1_, real_8 _p_ v2_)
1217 { // ** body not listed **
1233 }
1234
1235 int_4 _dgebd2 (int_4 _p_ m_, int_4 _p_ n_, real_8 _p_ a_, int_4 _p_ lda_, real_8 _p_ d_, real_8 _p_ e_, real_8 _p_
1236 tauq_, real_8 _p_ taup_, real_8 _p_ work_, int_4 _p_ info_)
1237 { // ** body not listed **
1308 }
1309
1310 int_4 _dgebrd (int_4 _p_ m_, int_4 _p_ n_, real_8 _p_ a_, int_4 _p_ lda_, real_8 _p_ d_, real_8 _p_ e_, real_8 _p_
1311 tauq_, real_8 _p_ taup_, real_8 _p_ work_, int_4 _p_ lwork_, int_4 _p_ info_)
1312 { // ** body not listed **
1399 }
1400
1401 int_4 _dgejsv (char _p_ joba_, char _p_ jobu_, char _p_ jobv_, char _p_ jobr_, char _p_ jobt_, char _p_ jobp_, int_4
1402 _p_ m_, int_4 _p_ n_, real_8 _p_ a_, int_4 _p_ lda_, real_8 _p_ sva_, real_8 _p_ u_, int_4 _p_ ldu_, real_8 _p_ v_,
1403 int_4 _p_ ldv_, real_8 _p_ work_, int_4 _p_ lwork_, int_4 _p_ iwork_, int_4 _p_ info_)
1404 { // ** body not listed **
2387 }
2388
2389 int_4 _dgelq2 (int_4 _p_ m_, int_4 _p_ n_, real_8 _p_ a_, int_4 _p_ lda_, real_8 _p_ tau_, real_8 _p_ work_, int_4 _p_
2390 info_)
2391 { // ** body not listed **
2425 }
2426
2427 int_4 _dgelqf (int_4 _p_ m_, int_4 _p_ n_, real_8 _p_ a_, int_4 _p_ lda_, real_8 _p_ tau_, real_8 _p_ work_, int_4 _p_
2428 lwork_, int_4 _p_ info_)
2429 { // ** body not listed **
2502 }
2503
2504 int_4 _dgelsd (int_4 _p_ m_, int_4 _p_ n_, int_4 _p_ nrhs_, real_8 _p_ a_, int_4 _p_ lda_, real_8 _p_ b_, int_4 _p_
2505 ldb_, real_8 _p_ s_, real_8 _p_ rcond_, int_4 _p_ rank_, real_8 _p_ work_, int_4 _p_ lwork_, int_4 _p_ iwork_, int_4
2506 _p_ info_)
2507 { // ** body not listed **
2745 }
2746
2747 int_4 _dgelss (int_4 _p_ m_, int_4 _p_ n_, int_4 _p_ nrhs_, real_8 _p_ a_, int_4 _p_ lda_, real_8 _p_ b_, int_4 _p_
2748 ldb_, real_8 _p_ s_, real_8 _p_ rcond_, int_4 _p_ rank_, real_8 _p_ work_, int_4 _p_ lwork_, int_4 _p_ info_)
2749 { // ** body not listed **
3107 }
3108
3109 int_4 _dgeqp3 (int_4 _p_ m_, int_4 _p_ n_, real_8 _p_ a_, int_4 _p_ lda_, int_4 _p_ jpvt_, real_8 _p_ tau_, real_8 _p_
3110 work_, int_4 _p_ lwork_, int_4 _p_ info_)
3111 { // ** body not listed **
3227 }
3228
3229 int_4 _dgeqr2 (int_4 _p_ m_, int_4 _p_ n_, real_8 _p_ a_, int_4 _p_ lda_, real_8 _p_ tau_, real_8 _p_ work_, int_4 _p_
3230 info_)
3231 { // ** body not listed **
3265 }
3266
3267 int_4 _dgeqrf (int_4 _p_ m_, int_4 _p_ n_, real_8 _p_ a_, int_4 _p_ lda_, real_8 _p_ tau_, real_8 _p_ work_, int_4 _p_
3268 lwork_, int_4 _p_ info_)
3269 { // ** body not listed **
3342 }
3343
3344 int_4 _dgesdd (char _p_ jobz_, int_4 _p_ m_, int_4 _p_ n_, real_8 _p_ a_, int_4 _p_ lda_, real_8 _p_ s_, real_8 _p_ u_,
3345 int_4 _p_ ldu_, real_8 _p_ vt_, int_4 _p_ ldvt_, real_8 _p_ work_, int_4 _p_ lwork_, int_4 _p_ iwork_, int_4 _p_ info_)
3346 { // ** body not listed **
3989 }
3990 int_4 _dgesvd (char _p_ jobu_, char _p_ jobvt_, int_4 _p_ m_, int_4 _p_ n_, real_8 _p_ a_, int_4 _p_ lda_, real_8 _p_
3991 s_, real_8 _p_ u_, int_4 _p_ ldu_, real_8 _p_ vt_, int_4 _p_ ldvt_, real_8 _p_ work_, int_4 _p_ lwork_, int_4 _p_ info_
3992 )
3993 { // ** body not listed **
5588 }
5589
5590 int_4 _dgesvdq (char _p_ joba_, char _p_ jobp_, char _p_ jobr_, char _p_ jobu_, char _p_ jobv_, int_4 _p_ m_, int_4 _p_
5591 n_, real_8 _p_ a_, int_4 _p_ lda_, real_8 _p_ s_, real_8 _p_ u_, int_4 _p_ ldu_, real_8 _p_ v_, int_4 _p_ ldv_, int_4
5592 _p_ numrank_, int_4 _p_ iwork_, int_4 _p_ liwork_, real_8 _p_ work_, int_4 _p_ lwork_, real_8 _p_ rwork_, int_4 _p_
5593 lrwork_, int_4 _p_ info_)
5594 { // ** body not listed **
6417 }
6418
6419 int_4 _dgesvj (char _p_ joba_, char _p_ jobu_, char _p_ jobv_, int_4 _p_ m_, int_4 _p_ n_, real_8 _p_ a_, int_4 _p_
6420 lda_, real_8 _p_ sva_, int_4 _p_ mv_, real_8 _p_ v_, int_4 _p_ ldv_, real_8 _p_ work_, int_4 _p_ lwork_, int_4 _p_
6421 info_)
6422 { // ** body not listed **
7315 }
7316 int_4 _dgsvj0 (char _p_ jobv_, int_4 _p_ m_, int_4 _p_ n_, real_8 _p_ a_, int_4 _p_ lda_, real_8 _p_ d_, real_8 _p_
7317 sva_, int_4 _p_ mv_, real_8 _p_ v_, int_4 _p_ ldv_, real_8 _p_ eps_, real_8 _p_ sfmin_, real_8 _p_ tol_, int_4 _p_
7318 nsweep_, real_8 _p_ work_, int_4 _p_ lwork_, int_4 _p_ info_)
7319 { // ** body not listed **
7943 }
7944
7945 int_4 _dgsvj1 (char _p_ jobv_, int_4 _p_ m_, int_4 _p_ n_, int_4 _p_ n1_, real_8 _p_ a_, int_4 _p_ lda_, real_8 _p_ d_,
7946 real_8 _p_ sva_, int_4 _p_ mv_, real_8 _p_ v_, int_4 _p_ ldv_, real_8 _p_ eps_, real_8 _p_ sfmin_, real_8 _p_ tol_,
7947 int_4 _p_ nsweep_, real_8 _p_ work_, int_4 _p_ lwork_, int_4 _p_ info_)
7948 { // ** body not listed **
8339 }
8340
8341 logical_4 _disnan (real_8 _p_ din_)
8342 { // ** body not listed **
8347 }
8348
8349 int_4 _dlabad (real_8 _p_ small_, real_8 _p_ large_)
8350 { // ** body not listed **
8357 }
8358
8359 int_4 _dlabrd (int_4 _p_ m_, int_4 _p_ n_, int_4 _p_ nb_, real_8 _p_ a_, int_4 _p_ lda_, real_8 _p_ d_, real_8 _p_ e_,
8360 real_8 _p_ tauq_, real_8 _p_ taup_, real_8 _p_ x_, int_4 _p_ ldx_, real_8 _p_ y_, int_4 _p_ ldy_)
8361 { // ** body not listed **
8485 }
8486
8487 int_4 _dlacn2 (int_4 _p_ n_, real_8 _p_ v_, real_8 _p_ x_, int_4 _p_ isgn_, real_8 _p_ est_, int_4 _p_ kase_, int_4 _p_
8488 isave_)
8489 { // ** body not listed **
8600 }
8601
8602 int_4 _dlacpy (char _p_ uplo_, int_4 _p_ m_, int_4 _p_ n_, real_8 _p_ a_, int_4 _p_ lda_, real_8 _p_ b_, int_4 _p_ ldb_
8603 )
8604 { // ** body not listed **
8630 }
8631
8632 int_4 _dlaed6 (int_4 _p_ kniter_, logical_4 _p_ orgati_, real_8 _p_ rho_, real_8 _p_ d_, real_8 _p_ z_, real_8 _p_
8633 finit_, real_8 _p_ tau_, int_4 _p_ info_)
8634 { // ** body not listed **
8835 }
8836
8837 logical_4 _dlaisnan (real_8 _p_ din1_, real_8 _p_ din2_)
8838 { // ** body not listed **
8843 }
8844
8845 int_4 _dlals0 (int_4 _p_ icompq_, int_4 _p_ nl_, int_4 _p_ nr_, int_4 _p_ sqre_, int_4 _p_ nrhs_, real_8 _p_ b_, int_4
8846 _p_ ldb_, real_8 _p_ bx_, int_4 _p_ ldbx_, int_4 _p_ perm_, int_4 _p_ givptr_, int_4 _p_ givcol_, int_4 _p_ ldgcol_,
8847 real_8 _p_ givnum_, int_4 _p_ ldgnum_, real_8 _p_ poles_, real_8 _p_ difl_, real_8 _p_ difr_, real_8 _p_ z_, int_4 _p_
8848 k_, real_8 _p_ c_, real_8 _p_ s_, real_8 _p_ work_, int_4 _p_ info_)
8849 { // ** body not listed **
9025 }
9026
9027 int_4 _dlalsa (int_4 _p_ icompq_, int_4 _p_ smlsiz_, int_4 _p_ n_, int_4 _p_ nrhs_, real_8 _p_ b_, int_4 _p_ ldb_,
9028 real_8 _p_ bx_, int_4 _p_ ldbx_, real_8 _p_ u_, int_4 _p_ ldu_, real_8 _p_ vt_, int_4 _p_ k_, real_8 _p_ difl_, real_8
9029 _p_ difr_, real_8 _p_ z_, real_8 _p_ poles_, int_4 _p_ givptr_, int_4 _p_ givcol_, int_4 _p_ ldgcol_, int_4 _p_ perm_,
9030 real_8 _p_ givnum_, real_8 _p_ c_, real_8 _p_ s_, real_8 _p_ work_, int_4 _p_ iwork_, int_4 _p_ info_)
9031 { // ** body not listed **
9177 }
9178
9179 int_4 _dlalsd (char _p_ uplo_, int_4 _p_ smlsiz_, int_4 _p_ n_, int_4 _p_ nrhs_, real_8 _p_ d_, real_8 _p_ e_, real_8
9180 _p_ b_, int_4 _p_ ldb_, real_8 _p_ rcond_, int_4 _p_ rank_, real_8 _p_ work_, int_4 _p_ iwork_, int_4 _p_ info_)
9181 { // ** body not listed **
9416 }
9417
9418 int_4 _dlamrg (int_4 _p_ n1_, int_4 _p_ n2_, real_8 _p_ a_, int_4 _p_ dtrd1_, int_4 _p_ dtrd2_, int_4 _p_ index_)
9419 { // ** body not listed **
9468 }
9469
9470 real_8 _dlange (char _p_ norm_, int_4 _p_ m_, int_4 _p_ n_, real_8 _p_ a_, int_4 _p_ lda_, real_8 _p_ work_)
9471 { // ** body not listed **
9533 }
9534
9535 real_8 _dlanst (char _p_ norm_, int_4 _p_ n_, real_8 _p_ d_, real_8 _p_ e_)
9536 { // ** body not listed **
9589 }
9590
9591 int_4 _dlapmt (logical_4 _p_ forwrd_, int_4 _p_ m_, int_4 _p_ n_, real_8 _p_ x_, int_4 _p_ ldx_, int_4 _p_ k_)
9592 { // ** body not listed **
9650 }
9651
9652 real_8 _dlapy2 (real_8 _p_ x_, real_8 _p_ y_)
9653 { // ** body not listed **
9680 }
9681
9682 int_4 _dlaqp2 (int_4 _p_ m_, int_4 _p_ n_, int_4 _p_ offset_, real_8 _p_ a_, int_4 _p_ lda_, int_4 _p_ jpvt_, real_8
9683 _p_ tau_, real_8 _p_ vn1_, real_8 _p_ vn2_, real_8 _p_ work_)
9684 { // ** body not listed **
9744 }
9745
9746 int_4 _dlaqps (int_4 _p_ m_, int_4 _p_ n_, int_4 _p_ offset_, int_4 _p_ nb_, int_4 _p_ kb_, real_8 _p_ a_, int_4 _p_
9747 lda_, int_4 _p_ jpvt_, real_8 _p_ tau_, real_8 _p_ vn1_, real_8 _p_ vn2_, real_8 _p_ auxv_, real_8 _p_ f_, int_4 _p_
9748 ldf_)
9749 { // ** body not listed **
9847 }
9848
9849 int_4 _dlarfb (char _p_ side_, char _p_ trans_, char _p_ direct_, char _p_ storev_, int_4 _p_ m_, int_4 _p_ n_, int_4
9850 _p_ k_, real_8 _p_ v_, int_4 _p_ ldv_, real_8 _p_ t_, int_4 _p_ ldt_, real_8 _p_ c_, int_4 _p_ ldc_, real_8 _p_ work_,
9851 int_4 _p_ ldwork_)
9852 { // ** body not listed **
10071 }
10072
10073 int_4 _dlarf (char _p_ side_, int_4 _p_ m_, int_4 _p_ n_, real_8 _p_ v_, int_4 _p_ incv_, real_8 _p_ tau_, real_8 _p_
10074 c_, int_4 _p_ ldc_, real_8 _p_ work_)
10075 { // ** body not listed **
10123 }
10124
10125 int_4 _dlarfg (int_4 _p_ n_, real_8 _p_ alpha_, real_8 _p_ x_, int_4 _p_ incx_, real_8 _p_ tau_)
10126 { // ** body not listed **
10169 }
10170
10171 int_4 _dlarft (char _p_ direct_, char _p_ storev_, int_4 _p_ n_, int_4 _p_ k_, real_8 _p_ v_, int_4 _p_ ldv_, real_8
10172 _p_ tau_, real_8 _p_ t_, int_4 _p_ ldt_)
10173 { // ** body not listed **
10286 }
10287
10288 int_4 _dlartg (real_8 _p_ f_, real_8 _p_ g_, real_8 _p_ cs_, real_8 _p_ sn_, real_8 _p_ r_)
10289 { // ** body not listed **
10358 }
10359
10360 int_4 _dlas2 (real_8 _p_ f_, real_8 _p_ g_, real_8 _p_ h_, real_8 _p_ ssmin_, real_8 _p_ ssmax_)
10361 { // ** body not listed **
10405 }
10406 int_4 _dlascl (char _p_ type_, int_4 _p_ kl_, int_4 _p_ ku_, real_8 _p_ cfrom_, real_8 _p_ cto_, int_4 _p_ m_, int_4
10407 _p_ n_, real_8 _p_ a_, int_4 _p_ lda_, int_4 _p_ info_)
10408 { // ** body not listed **
10574 }
10575
10576 int_4 _dlasd0 (int_4 _p_ n_, int_4 _p_ sqre_, real_8 _p_ d_, real_8 _p_ e_, real_8 _p_ u_, int_4 _p_ ldu_, real_8 _p_
10577 vt_, int_4 _p_ ldvt_, int_4 _p_ smlsiz_, int_4 _p_ iwork_, real_8 _p_ work_, int_4 _p_ info_)
10578 { // ** body not listed **
10689 }
10690
10691 int_4 _dlasd1 (int_4 _p_ nl_, int_4 _p_ nr_, int_4 _p_ sqre_, real_8 _p_ d_, real_8 _p_ alpha_, real_8 _p_ beta_,
10692 real_8 _p_ u_, int_4 _p_ ldu_, real_8 _p_ vt_, int_4 _p_ ldvt_, int_4 _p_ idxq_, int_4 _p_ iwork_, real_8 _p_ work_,
10693 int_4 _p_ info_)
10694 { // ** body not listed **
10754 }
10755
10756 int_4 _dlasd2 (int_4 _p_ nl_, int_4 _p_ nr_, int_4 _p_ sqre_, int_4 _p_ k_, real_8 _p_ d_, real_8 _p_ z_, real_8 _p_
10757 alpha_, real_8 _p_ beta_, real_8 _p_ u_, int_4 _p_ ldu_, real_8 _p_ vt_, int_4 _p_ ldvt_, real_8 _p_ dsigma_, real_8
10758 _p_ u2_, int_4 _p_ ldu2_, real_8 _p_ vt2_, int_4 _p_ ldvt2_, int_4 _p_ idxp_, int_4 _p_ idx_, int_4 _p_ idxc_, int_4
10759 _p_ idxq_, int_4 _p_ coltyp_, int_4 _p_ info_)
10760 { // ** body not listed **
10988 }
10989
10990 int_4 _dlasd3 (int_4 _p_ nl_, int_4 _p_ nr_, int_4 _p_ sqre_, int_4 _p_ k_, real_8 _p_ d_, real_8 _p_ q_, int_4 _p_
10991 ldq_, real_8 _p_ dsigma_, real_8 _p_ u_, int_4 _p_ ldu_, real_8 _p_ u2_, int_4 _p_ ldu2_, real_8 _p_ vt_, int_4 _p_
10992 ldvt_, real_8 _p_ vt2_, int_4 _p_ ldvt2_, int_4 _p_ idxc_, int_4 _p_ ctot_, real_8 _p_ z_, int_4 _p_ info_)
10993 { // ** body not listed **
11158 }
11159
11160 int_4 _dlasd4 (int_4 _p_ n_, int_4 _p_ i_, real_8 _p_ d_, real_8 _p_ z_, real_8 _p_ delta_, real_8 _p_ rho_, real_8 _p_
11161 sigma_, real_8 _p_ work_, int_4 _p_ info_)
11162 { // ** body not listed **
11839 }
11840
11841 int_4 _dlasd5 (int_4 _p_ i_, real_8 _p_ d_, real_8 _p_ z_, real_8 _p_ delta_, real_8 _p_ rho_, real_8 _p_ dsigma_,
11842 real_8 _p_ work_)
11843 { // ** body not listed **
11895 }
11896
11897 int_4 _dlasd6 (int_4 _p_ icompq_, int_4 _p_ nl_, int_4 _p_ nr_, int_4 _p_ sqre_, real_8 _p_ d_, real_8 _p_ vf_, real_8
11898 _p_ vl_, real_8 _p_ alpha_, real_8 _p_ beta_, int_4 _p_ idxq_, int_4 _p_ perm_, int_4 _p_ givptr_, int_4 _p_ givcol_,
11899 int_4 _p_ ldgcol_, real_8 _p_ givnum_, int_4 _p_ ldgnum_, real_8 _p_ poles_, real_8 _p_ difl_, real_8 _p_ difr_, real_8
11900 _p_ z_, int_4 _p_ k_, real_8 _p_ c_, real_8 _p_ s_, real_8 _p_ work_, int_4 _p_ iwork_, int_4 _p_ info_)
11901 { // ** body not listed **
11968 }
11969
11970 int_4 _dlasd7 (int_4 _p_ icompq_, int_4 _p_ nl_, int_4 _p_ nr_, int_4 _p_ sqre_, int_4 _p_ k_, real_8 _p_ d_, real_8
11971 _p_ z_, real_8 _p_ zw_, real_8 _p_ vf_, real_8 _p_ vfw_, real_8 _p_ vl_, real_8 _p_ vlw_, real_8 _p_ alpha_, real_8 _p_
11972 beta_, real_8 _p_ dsigma_, int_4 _p_ idx_, int_4 _p_ idxp_, int_4 _p_ idxq_, int_4 _p_ perm_, int_4 _p_ givptr_, int_4
11973 _p_ givcol_, int_4 _p_ ldgcol_, real_8 _p_ givnum_, int_4 _p_ ldgnum_, real_8 _p_ c_, real_8 _p_ s_, int_4 _p_ info_)
11974 { // ** body not listed **
12167 }
12168 int_4 _dlasd8 (int_4 _p_ icompq_, int_4 _p_ k_, real_8 _p_ d_, real_8 _p_ z_, real_8 _p_ vf_, real_8 _p_ vl_, real_8
12169 _p_ difl_, real_8 _p_ difr_, int_4 _p_ lddifr_, real_8 _p_ dsigma_, real_8 _p_ work_, int_4 _p_ info_)
12170 { // ** body not listed **
12262 }
12263
12264 int_4 _dlasda (int_4 _p_ icompq_, int_4 _p_ smlsiz_, int_4 _p_ n_, int_4 _p_ sqre_, real_8 _p_ d_, real_8 _p_ e_,
12265 real_8 _p_ u_, int_4 _p_ ldu_, real_8 _p_ vt_, int_4 _p_ k_, real_8 _p_ difl_, real_8 _p_ difr_, real_8 _p_ z_, real_8
12266 _p_ poles_, int_4 _p_ givptr_, int_4 _p_ givcol_, int_4 _p_ ldgcol_, int_4 _p_ perm_, real_8 _p_ givnum_, real_8 _p_ c_
12267 , real_8 _p_ s_, real_8 _p_ work_, int_4 _p_ iwork_, int_4 _p_ info_)
12268 { // ** body not listed **
12445 }
12446
12447 int_4 _dlasdq (char _p_ uplo_, int_4 _p_ sqre_, int_4 _p_ n_, int_4 _p_ ncvt_, int_4 _p_ nru_, int_4 _p_ ncc_, real_8
12448 _p_ d_, real_8 _p_ e_, real_8 _p_ vt_, int_4 _p_ ldvt_, real_8 _p_ u_, int_4 _p_ ldu_, real_8 _p_ c_, int_4 _p_ ldc_,
12449 real_8 _p_ work_, int_4 _p_ info_)
12450 { // ** body not listed **
12590 }
12591
12592 int_4 _dlasdt (int_4 _p_ n_, int_4 _p_ lvl_, int_4 _p_ nd_, int_4 _p_ inode_, int_4 _p_ ndiml_, int_4 _p_ ndimr_, int_4
12593 _p_ msub_)
12594 { // ** body not listed **
12625 }
12626
12627 int_4 _dlaset (char _p_ uplo_, int_4 _p_ m_, int_4 _p_ n_, real_8 _p_ alpha_, real_8 _p_ beta_, real_8 _p_ a_, int_4
12628 _p_ lda_)
12629 { // ** body not listed **
12658 }
12659
12660 int_4 _dlasq1 (int_4 _p_ n_, real_8 _p_ d_, real_8 _p_ e_, real_8 _p_ work_, int_4 _p_ info_)
12661 { // ** body not listed **
12729 }
12730
12731 int_4 _dlasq2 (int_4 _p_ n_, real_8 _p_ z_, int_4 _p_ info_)
12732 { // ** body not listed **
13063 }
13064
13065 int_4 _dlasq3 (int_4 _p_ i0_, int_4 _p_ n0_, real_8 _p_ z_, int_4 _p_ pp_, real_8 _p_ dmin_, real_8 _p_ sigma_, real_8
13066 _p_ desig_, real_8 _p_ qmax_, int_4 _p_ nfail_, int_4 _p_ iter_, int_4 _p_ ndiv_, logical_4 _p_ ieee_, int_4 _p_ ttype_
13067 , real_8 _p_ dmin1_, real_8 _p_ dmin2_, real_8 _p_ dn_, real_8 _p_ dn1_, real_8 _p_ dn2_, real_8 _p_ g_, real_8 _p_
13068 tau_)
13069 { // ** body not listed **
13218 }
13219
13220 int_4 _dlasq4 (int_4 _p_ i0_, int_4 _p_ n0_, real_8 _p_ z_, int_4 _p_ pp_, int_4 _p_ n0in_, real_8 _p_ dmin_, real_8
13221 _p_ dmin1_, real_8 _p_ dmin2_, real_8 _p_ dn_, real_8 _p_ dn1_, real_8 _p_ dn2_, real_8 _p_ tau_, int_4 _p_ ttype_,
13222 real_8 _p_ g_)
13223 { // ** body not listed **
13448 }
13449
13450 int_4 _dlasq5 (int_4 _p_ i0_, int_4 _p_ n0_, real_8 _p_ z_, int_4 _p_ pp_, real_8 _p_ tau_, real_8 _p_ sigma_, real_8
13451 _p_ dmin_, real_8 _p_ dmin1_, real_8 _p_ dmin2_, real_8 _p_ dn_, real_8 _p_ dnm1_, real_8 _p_ dnm2_, logical_4 _p_
13452 ieee_, real_8 _p_ eps_)
13453 { // ** body not listed **
13678 }
13679
13680 int_4 _dlasq6 (int_4 _p_ i0_, int_4 _p_ n0_, real_8 _p_ z_, int_4 _p_ pp_, real_8 _p_ dmin_, real_8 _p_ dmin1_, real_8
13681 _p_ dmin2_, real_8 _p_ dn_, real_8 _p_ dnm1_, real_8 _p_ dnm2_)
13682 { // ** body not listed **
13784 }
13785
13786 int_4 _dlasr (char _p_ side_, char _p_ pivot_, char _p_ direct_, int_4 _p_ m_, int_4 _p_ n_, real_8 _p_ c_, real_8 _p_
13787 s_, real_8 _p_ a_, int_4 _p_ lda_)
13788 { // ** body not listed **
13994 }
13995
13996 int_4 _dlasrt (char _p_ id_, int_4 _p_ n_, real_8 _p_ d_, int_4 _p_ info_)
13997 { // ** body not listed **
14171 }
14172
14173 int_4 _dlassq (int_4 _p_ n_, real_8 _p_ x_, int_4 _p_ incx_, real_8 _p_ scale_, real_8 _p_ sumsq_)
14174 { // ** body not listed **
14195 }
14196
14197 int_4 _dlasv2 (real_8 _p_ f_, real_8 _p_ g_, real_8 _p_ h_, real_8 _p_ ssmin_, real_8 _p_ ssmax_, real_8 _p_ snr_,
14198 real_8 _p_ csr_, real_8 _p_ snl_, real_8 _p_ csl_)
14199 { // ** body not listed **
14314 }
14315
14316 int_4 _dlaswp (int_4 _p_ n_, real_8 _p_ a_, int_4 _p_ lda_, int_4 _p_ k1_, int_4 _p_ k2_, int_4 _p_ ipiv_, int_4 _p_
14317 incx_)
14318 { // ** body not listed **
14371 }
14372
14373 int_4 _dlatrs (char _p_ uplo_, char _p_ trans_, char _p_ diag_, char _p_ normin_, int_4 _p_ n_, real_8 _p_ a_, int_4
14374 _p_ lda_, real_8 _p_ x_, real_8 _p_ scale_, real_8 _p_ cnorm_, int_4 _p_ info_)
14375 { // ** body not listed **
14723 }
14724
14725 int_4 _dorg2r (int_4 _p_ m_, int_4 _p_ n_, int_4 _p_ k_, real_8 _p_ a_, int_4 _p_ lda_, real_8 _p_ tau_, real_8 _p_
14726 work_, int_4 _p_ info_)
14727 { // ** body not listed **
14776 }
14777
14778 int_4 _dorgbr (char _p_ vect_, int_4 _p_ m_, int_4 _p_ n_, int_4 _p_ k_, real_8 _p_ a_, int_4 _p_ lda_, real_8 _p_ tau_
14779 , real_8 _p_ work_, int_4 _p_ lwork_, int_4 _p_ info_)
14780 { // ** body not listed **
14894 }
14895
14896 int_4 _dorgl2 (int_4 _p_ m_, int_4 _p_ n_, int_4 _p_ k_, real_8 _p_ a_, int_4 _p_ lda_, real_8 _p_ tau_, real_8 _p_
14897 work_, int_4 _p_ info_)
14898 { // ** body not listed **
14951 }
14952
14953 int_4 _dorglq (int_4 _p_ m_, int_4 _p_ n_, int_4 _p_ k_, real_8 _p_ a_, int_4 _p_ lda_, real_8 _p_ tau_, real_8 _p_
14954 work_, int_4 _p_ lwork_, int_4 _p_ info_)
14955 { // ** body not listed **
15044 }
15045
15046 int_4 _dorgqr (int_4 _p_ m_, int_4 _p_ n_, int_4 _p_ k_, real_8 _p_ a_, int_4 _p_ lda_, real_8 _p_ tau_, real_8 _p_
15047 work_, int_4 _p_ lwork_, int_4 _p_ info_)
15048 { // ** body not listed **
15137 }
15138
15139 int_4 _dorm2r (char _p_ side_, char _p_ trans_, int_4 _p_ m_, int_4 _p_ n_, int_4 _p_ k_, real_8 _p_ a_, int_4 _p_ lda_
15140 , real_8 _p_ tau_, real_8 _p_ c_, int_4 _p_ ldc_, real_8 _p_ work_, int_4 _p_ info_)
15141 { // ** body not listed **
15221 }
15222
15223 int_4 _dormbr (char _p_ vect_, char _p_ side_, char _p_ trans_, int_4 _p_ m_, int_4 _p_ n_, int_4 _p_ k_, real_8 _p_ a_
15224 , int_4 _p_ lda_, real_8 _p_ tau_, real_8 _p_ c_, int_4 _p_ ldc_, real_8 _p_ work_, int_4 _p_ lwork_, int_4 _p_ info_)
15225 { // ** body not listed **
15360 }
15361
15362 int_4 _dorml2 (char _p_ side_, char _p_ trans_, int_4 _p_ m_, int_4 _p_ n_, int_4 _p_ k_, real_8 _p_ a_, int_4 _p_ lda_
15363 , real_8 _p_ tau_, real_8 _p_ c_, int_4 _p_ ldc_, real_8 _p_ work_, int_4 _p_ info_)
15364 { // ** body not listed **
15444 }
15445
15446 int_4 _dormlq (char _p_ side_, char _p_ trans_, int_4 _p_ m_, int_4 _p_ n_, int_4 _p_ k_, real_8 _p_ a_, int_4 _p_ lda_
15447 , real_8 _p_ tau_, real_8 _p_ c_, int_4 _p_ ldc_, real_8 _p_ work_, int_4 _p_ lwork_, int_4 _p_ info_)
15448 { // ** body not listed **
15566 }
15567
15568 int_4 _dormqr (char _p_ side_, char _p_ trans_, int_4 _p_ m_, int_4 _p_ n_, int_4 _p_ k_, real_8 _p_ a_, int_4 _p_ lda_
15569 , real_8 _p_ tau_, real_8 _p_ c_, int_4 _p_ ldc_, real_8 _p_ work_, int_4 _p_ lwork_, int_4 _p_ info_)
15570 { // ** body not listed **
15681 }
15682
15683 int_4 _dpocon (char _p_ uplo_, int_4 _p_ n_, real_8 _p_ a_, int_4 _p_ lda_, real_8 _p_ anorm_, real_8 _p_ rcond_,
15684 real_8 _p_ work_, int_4 _p_ iwork_, int_4 _p_ info_)
15685 { // ** body not listed **
15754 }
15755
15756 int_4 _drscl (int_4 _p_ n_, real_8 _p_ sa_, real_8 _p_ sx_, int_4 _p_ incx_)
15757 { // ** body not listed **
15794 }
15795
15796 int_4 _ieeeck (int_4 _p_ ispec_, real_4 _p_ zero_, real_4 _p_ one_)
15797 { // ** body not listed **
15877 }
15878
15879 int_4 _iladlc (int_4 _p_ m_, int_4 _p_ n_, real_8 _p_ a_, int_4 _p_ lda_)
15880 { // ** body not listed **
15901 }
15902
15903 int_4 _iladlr (int_4 _p_ m_, int_4 _p_ n_, real_8 _p_ a_, int_4 _p_ lda_)
15904 { // ** body not listed **
15925 }
15926
15927 int_4 _ilaenv (int_4 _p_ ispec_, char _p_ name_, char _p_ opts_, int_4 _p_ n1_, int_4 _p_ n2_, int_4 _p_ n3_, int_4 _p_
15928 n4_)
15929 { // ** body not listed **
16479 }
16480
16481 int_4 _iparmq (int_4 _p_ ispec_, char _p_ name_, char _p_ opts_, int_4 _p_ n_, int_4 _p_ ilo_, int_4 _p_ ihi_, int_4
16482 _p_ lwork_)
16483 { // ** body not listed **
16597 }
16598
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© 2002-2025 J.M. van der Veer (jmvdveer@xs4all.nl)
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