LAPACK  3.9.0
LAPACK: Linear Algebra PACKage
dchksy_aa.f
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1 *> \brief \b DCHKSY_AA
2 *
3 * =========== DOCUMENTATION ===========
4 *
5 * Online html documentation available at
6 * http://www.netlib.org/lapack/explore-html/
7 *
8 * Definition:
9 * ===========
10 *
11 * SUBROUTINE DCHKSY_AA( DOTYPE, NN, NVAL, NNB, NBVAL, NNS, NSVAL,
12 * THRESH, TSTERR, NMAX, A, AFAC, AINV, B, X,
13 * XACT, WORK, RWORK, IWORK, NOUT )
14 *
15 * .. Scalar Arguments ..
16 * LOGICAL TSTERR
17 * INTEGER NMAX, NN, NNB, NNS, NOUT
18 * DOUBLE PRECISION THRESH
19 * ..
20 * .. Array Arguments ..
21 * LOGICAL DOTYPE( * )
22 * INTEGER IWORK( * ), NBVAL( * ), NSVAL( * ), NVAL( * )
23 * DOUBLE PRECISION A( * ), AFAC( * ), AINV( * ), B( * ),
24 * $ RWORK( * ), WORK( * ), X( * ), XACT( * )
25 * ..
26 *
27 *
28 *> \par Purpose:
29 * =============
30 *>
31 *> \verbatim
32 *>
33 *> DCHKSY_AA tests DSYTRF_AA, -TRS_AA.
34 *> \endverbatim
35 *
36 * Arguments:
37 * ==========
38 *
39 *> \param[in] DOTYPE
40 *> \verbatim
41 *> DOTYPE is LOGICAL array, dimension (NTYPES)
42 *> The matrix types to be used for testing. Matrices of type j
43 *> (for 1 <= j <= NTYPES) are used for testing if DOTYPE(j) =
44 *> .TRUE.; if DOTYPE(j) = .FALSE., then type j is not used.
45 *> \endverbatim
46 *>
47 *> \param[in] NN
48 *> \verbatim
49 *> NN is INTEGER
50 *> The number of values of N contained in the vector NVAL.
51 *> \endverbatim
52 *>
53 *> \param[in] NVAL
54 *> \verbatim
55 *> NVAL is INTEGER array, dimension (NN)
56 *> The values of the matrix dimension N.
57 *> \endverbatim
58 *>
59 *> \param[in] NNB
60 *> \verbatim
61 *> NNB is INTEGER
62 *> The number of values of NB contained in the vector NBVAL.
63 *> \endverbatim
64 *>
65 *> \param[in] NBVAL
66 *> \verbatim
67 *> NBVAL is INTEGER array, dimension (NBVAL)
68 *> The values of the blocksize NB.
69 *> \endverbatim
70 *>
71 *> \param[in] NNS
72 *> \verbatim
73 *> NNS is INTEGER
74 *> The number of values of NRHS contained in the vector NSVAL.
75 *> \endverbatim
76 *>
77 *> \param[in] NSVAL
78 *> \verbatim
79 *> NSVAL is INTEGER array, dimension (NNS)
80 *> The values of the number of right hand sides NRHS.
81 *> \endverbatim
82 *>
83 *> \param[in] THRESH
84 *> \verbatim
85 *> THRESH is DOUBLE PRECISION
86 *> The threshold value for the test ratios. A result is
87 *> included in the output file if RESULT >= THRESH. To have
88 *> every test ratio printed, use THRESH = 0.
89 *> \endverbatim
90 *>
91 *> \param[in] TSTERR
92 *> \verbatim
93 *> TSTERR is LOGICAL
94 *> Flag that indicates whether error exits are to be tested.
95 *> \endverbatim
96 *>
97 *> \param[in] NMAX
98 *> \verbatim
99 *> NMAX is INTEGER
100 *> The maximum value permitted for N, used in dimensioning the
101 *> work arrays.
102 *> \endverbatim
103 *>
104 *> \param[out] A
105 *> \verbatim
106 *> A is DOUBLE PRECISION array, dimension (NMAX*NMAX)
107 *> \endverbatim
108 *>
109 *> \param[out] AFAC
110 *> \verbatim
111 *> AFAC is DOUBLE PRECISION array, dimension (NMAX*NMAX)
112 *> \endverbatim
113 *>
114 *> \param[out] AINV
115 *> \verbatim
116 *> AINV is DOUBLE PRECISION array, dimension (NMAX*NMAX)
117 *> \endverbatim
118 *>
119 *> \param[out] B
120 *> \verbatim
121 *> B is DOUBLE PRECISION array, dimension (NMAX*NSMAX)
122 *> where NSMAX is the largest entry in NSVAL.
123 *> \endverbatim
124 *>
125 *> \param[out] X
126 *> \verbatim
127 *> X is DOUBLE PRECISION array, dimension (NMAX*NSMAX)
128 *> \endverbatim
129 *>
130 *> \param[out] XACT
131 *> \verbatim
132 *> XACT is DOUBLE PRECISION array, dimension (NMAX*NSMAX)
133 *> \endverbatim
134 *>
135 *> \param[out] WORK
136 *> \verbatim
137 *> WORK is DOUBLE PRECISION array, dimension (NMAX*max(3,NSMAX))
138 *> \endverbatim
139 *>
140 *> \param[out] RWORK
141 *> \verbatim
142 *> RWORK is DOUBLE PRECISION array, dimension (max(NMAX,2*NSMAX))
143 *> \endverbatim
144 *>
145 *> \param[out] IWORK
146 *> \verbatim
147 *> IWORK is INTEGER array, dimension (2*NMAX)
148 *> \endverbatim
149 *>
150 *> \param[in] NOUT
151 *> \verbatim
152 *> NOUT is INTEGER
153 *> The unit number for output.
154 *> \endverbatim
155 *
156 * Authors:
157 * ========
158 *
159 *> \author Univ. of Tennessee
160 *> \author Univ. of California Berkeley
161 *> \author Univ. of Colorado Denver
162 *> \author NAG Ltd.
163 *
164 *> \date November 2017
165 *
166 * @precisions fortran d -> z c
167 *
168 *> \ingroup double_lin
169 *
170 * =====================================================================
171  SUBROUTINE dchksy_aa( DOTYPE, NN, NVAL, NNB, NBVAL, NNS, NSVAL,
172  $ THRESH, TSTERR, NMAX, A, AFAC, AINV, B,
173  $ X, XACT, WORK, RWORK, IWORK, NOUT )
174 *
175 * -- LAPACK test routine (version 3.8.0) --
176 * -- LAPACK is a software package provided by Univ. of Tennessee, --
177 * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
178 * November 2017
179 *
180  IMPLICIT NONE
181 *
182 * .. Scalar Arguments ..
183  LOGICAL tsterr
184  INTEGER nn, nnb, nns, nmax, nout
185  DOUBLE PRECISION thresh
186 * ..
187 * .. Array Arguments ..
188  LOGICAL dotype( * )
189  INTEGER IWORK( * ), NBVAL( * ), NSVAL( * ), NVAL( * )
190  DOUBLE PRECISION A( * ), AFAC( * ), AINV( * ), B( * ),
191  $ rwork( * ), work( * ), x( * ), xact( * )
192 * ..
193 *
194 * =====================================================================
195 *
196 * .. Parameters ..
197  DOUBLE PRECISION ZERO, ONE
198  PARAMETER ( ZERO = 0.0d+0, one = 1.0d+0 )
199  INTEGER NTYPES
200  parameter( ntypes = 10 )
201  INTEGER NTESTS
202  parameter( ntests = 9 )
203 * ..
204 * .. Local Scalars ..
205  LOGICAL ZEROT
206  CHARACTER DIST, TYPE, UPLO, XTYPE
207  CHARACTER*3 PATH, MATPATH
208  INTEGER I, I1, I2, IMAT, IN, INB, INFO, IOFF, IRHS,
209  $ iuplo, izero, j, k, kl, ku, lda, lwork, mode,
210  $ n, nb, nerrs, nfail, nimat, nrhs, nrun, nt
211  DOUBLE PRECISION ANORM, CNDNUM
212 * ..
213 * .. Local Arrays ..
214  CHARACTER UPLOS( 2 )
215  INTEGER ISEED( 4 ), ISEEDY( 4 )
216  DOUBLE PRECISION RESULT( NTESTS )
217 * ..
218 * .. External Subroutines ..
219  EXTERNAL alaerh, alahd, alasum, derrsy, dlacpy, dlarhs,
220  $ dlatb4, dlatms, dpot02, dsyt01_aa, dsytrf_aa,
221  $ dsytrs_aa, xlaenv
222 * ..
223 * .. Intrinsic Functions ..
224  INTRINSIC max, min
225 * ..
226 * .. Scalars in Common ..
227  LOGICAL LERR, OK
228  CHARACTER*32 SRNAMT
229  INTEGER INFOT, NUNIT
230 * ..
231 * .. Common blocks ..
232  COMMON / infoc / infot, nunit, ok, lerr
233  COMMON / srnamc / srnamt
234 * ..
235 * .. Data statements ..
236  DATA iseedy / 1988, 1989, 1990, 1991 /
237  DATA uplos / 'U', 'L' /
238 * ..
239 * .. Executable Statements ..
240 *
241 * Initialize constants and the random number seed.
242 *
243 * Test path
244 *
245  path( 1: 1 ) = 'Double precision'
246  path( 2: 3 ) = 'SA'
247 *
248 * Path to generate matrices
249 *
250  matpath( 1: 1 ) = 'Double precision'
251  matpath( 2: 3 ) = 'SY'
252  nrun = 0
253  nfail = 0
254  nerrs = 0
255  DO 10 i = 1, 4
256  iseed( i ) = iseedy( i )
257  10 CONTINUE
258 *
259 * Test the error exits
260 *
261  IF( tsterr )
262  $ CALL derrsy( path, nout )
263  infot = 0
264 *
265 * Set the minimum block size for which the block routine should
266 * be used, which will be later returned by ILAENV
267 *
268  CALL xlaenv( 2, 2 )
269 *
270 * Do for each value of N in NVAL
271 *
272  DO 180 in = 1, nn
273  n = nval( in )
274  IF( n .GT. nmax ) THEN
275  nfail = nfail + 1
276  WRITE(nout, 9995) 'M ', n, nmax
277  GO TO 180
278  END IF
279  lda = max( n, 1 )
280  xtype = 'N'
281  nimat = ntypes
282  IF( n.LE.0 )
283  $ nimat = 1
284 *
285  izero = 0
286 *
287 * Do for each value of matrix type IMAT
288 *
289  DO 170 imat = 1, nimat
290 *
291 * Do the tests only if DOTYPE( IMAT ) is true.
292 *
293  IF( .NOT.dotype( imat ) )
294  $ GO TO 170
295 *
296 * Skip types 3, 4, 5, or 6 if the matrix size is too small.
297 *
298  zerot = imat.GE.3 .AND. imat.LE.6
299  IF( zerot .AND. n.LT.imat-2 )
300  $ GO TO 170
301 *
302 * Do first for UPLO = 'U', then for UPLO = 'L'
303 *
304  DO 160 iuplo = 1, 2
305  uplo = uplos( iuplo )
306 *
307 * Begin generate the test matrix A.
308 *
309 *
310 * Set up parameters with DLATB4 for the matrix generator
311 * based on the type of matrix to be generated.
312 *
313  CALL dlatb4( matpath, imat, n, n, TYPE, kl, ku,
314  $ anorm, mode, cndnum, dist )
315 *
316 * Generate a matrix with DLATMS.
317 *
318  srnamt = 'DLATMS'
319  CALL dlatms( n, n, dist, iseed, TYPE, rwork, mode,
320  $ cndnum, anorm, kl, ku, uplo, a, lda, work,
321  $ info )
322 *
323 * Check error code from DLATMS and handle error.
324 *
325  IF( info.NE.0 ) THEN
326  CALL alaerh( path, 'DLATMS', info, 0, uplo, n, n, -1,
327  $ -1, -1, imat, nfail, nerrs, nout )
328 *
329 * Skip all tests for this generated matrix
330 *
331  GO TO 160
332  END IF
333 *
334 * For matrix types 3-6, zero one or more rows and
335 * columns of the matrix to test that INFO is returned
336 * correctly.
337 *
338  IF( zerot ) THEN
339  IF( imat.EQ.3 ) THEN
340  izero = 1
341  ELSE IF( imat.EQ.4 ) THEN
342  izero = n
343  ELSE
344  izero = n / 2 + 1
345  END IF
346 *
347  IF( imat.LT.6 ) THEN
348 *
349 * Set row and column IZERO to zero.
350 *
351  IF( iuplo.EQ.1 ) THEN
352  ioff = ( izero-1 )*lda
353  DO 20 i = 1, izero - 1
354  a( ioff+i ) = zero
355  20 CONTINUE
356  ioff = ioff + izero
357  DO 30 i = izero, n
358  a( ioff ) = zero
359  ioff = ioff + lda
360  30 CONTINUE
361  ELSE
362  ioff = izero
363  DO 40 i = 1, izero - 1
364  a( ioff ) = zero
365  ioff = ioff + lda
366  40 CONTINUE
367  ioff = ioff - izero
368  DO 50 i = izero, n
369  a( ioff+i ) = zero
370  50 CONTINUE
371  END IF
372  ELSE
373  IF( iuplo.EQ.1 ) THEN
374 *
375 * Set the first IZERO rows and columns to zero.
376 *
377  ioff = 0
378  DO 70 j = 1, n
379  i2 = min( j, izero )
380  DO 60 i = 1, i2
381  a( ioff+i ) = zero
382  60 CONTINUE
383  ioff = ioff + lda
384  70 CONTINUE
385  izero = 1
386  ELSE
387 *
388 * Set the last IZERO rows and columns to zero.
389 *
390  ioff = 0
391  DO 90 j = 1, n
392  i1 = max( j, izero )
393  DO 80 i = i1, n
394  a( ioff+i ) = zero
395  80 CONTINUE
396  ioff = ioff + lda
397  90 CONTINUE
398  END IF
399  END IF
400  ELSE
401  izero = 0
402  END IF
403 *
404 * End generate the test matrix A.
405 *
406 * Do for each value of NB in NBVAL
407 *
408  DO 150 inb = 1, nnb
409 *
410 * Set the optimal blocksize, which will be later
411 * returned by ILAENV.
412 *
413  nb = nbval( inb )
414  CALL xlaenv( 1, nb )
415 *
416 * Copy the test matrix A into matrix AFAC which
417 * will be factorized in place. This is needed to
418 * preserve the test matrix A for subsequent tests.
419 *
420  CALL dlacpy( uplo, n, n, a, lda, afac, lda )
421 *
422 * Compute the L*D*L**T or U*D*U**T factorization of the
423 * matrix. IWORK stores details of the interchanges and
424 * the block structure of D. AINV is a work array for
425 * block factorization, LWORK is the length of AINV.
426 *
427  srnamt = 'DSYTRF_AA'
428  lwork = max( 1, n*nb + n )
429  CALL dsytrf_aa( uplo, n, afac, lda, iwork, ainv,
430  $ lwork, info )
431 *
432 * Adjust the expected value of INFO to account for
433 * pivoting.
434 *
435 c IF( IZERO.GT.0 ) THEN
436 c J = 1
437 c K = IZERO
438 c 100 CONTINUE
439 c IF( J.EQ.K ) THEN
440 c K = IWORK( J )
441 c ELSE IF( IWORK( J ).EQ.K ) THEN
442 c K = J
443 c END IF
444 c IF( J.LT.K ) THEN
445 c J = J + 1
446 c GO TO 100
447 c END IF
448 c ELSE
449  k = 0
450 c END IF
451 *
452 * Check error code from DSYTRF and handle error.
453 *
454  IF( info.NE.k ) THEN
455  CALL alaerh( path, 'DSYTRF_AA', info, k, uplo,
456  $ n, n, -1, -1, nb, imat, nfail, nerrs,
457  $ nout )
458  END IF
459 *
460 *+ TEST 1
461 * Reconstruct matrix from factors and compute residual.
462 *
463  CALL dsyt01_aa( uplo, n, a, lda, afac, lda, iwork,
464  $ ainv, lda, rwork, result( 1 ) )
465  nt = 1
466 *
467 *
468 * Print information about the tests that did not pass
469 * the threshold.
470 *
471  DO 110 k = 1, nt
472  IF( result( k ).GE.thresh ) THEN
473  IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
474  $ CALL alahd( nout, path )
475  WRITE( nout, fmt = 9999 )uplo, n, nb, imat, k,
476  $ result( k )
477  nfail = nfail + 1
478  END IF
479  110 CONTINUE
480  nrun = nrun + nt
481 *
482 * Skip solver test if INFO is not 0.
483 *
484  IF( info.NE.0 ) THEN
485  GO TO 140
486  END IF
487 *
488 * Do for each value of NRHS in NSVAL.
489 *
490  DO 130 irhs = 1, nns
491  nrhs = nsval( irhs )
492 *
493 *+ TEST 2 (Using TRS)
494 * Solve and compute residual for A * X = B.
495 *
496 * Choose a set of NRHS random solution vectors
497 * stored in XACT and set up the right hand side B
498 *
499  srnamt = 'DLARHS'
500  CALL dlarhs( matpath, xtype, uplo, ' ', n, n,
501  $ kl, ku, nrhs, a, lda, xact, lda,
502  $ b, lda, iseed, info )
503  CALL dlacpy( 'Full', n, nrhs, b, lda, x, lda )
504 *
505  srnamt = 'DSYTRS_AA'
506  lwork = max( 1, 3*n-2 )
507  CALL dsytrs_aa( uplo, n, nrhs, afac, lda,
508  $ iwork, x, lda, work, lwork,
509  $ info )
510 *
511 * Check error code from DSYTRS and handle error.
512 *
513  IF( info.NE.0 ) THEN
514  IF( izero.EQ.0 ) THEN
515  CALL alaerh( path, 'DSYTRS_AA', info, 0,
516  $ uplo, n, n, -1, -1, nrhs, imat,
517  $ nfail, nerrs, nout )
518  END IF
519  ELSE
520  CALL dlacpy( 'Full', n, nrhs, b, lda, work, lda
521  $ )
522 *
523 * Compute the residual for the solution
524 *
525  CALL dpot02( uplo, n, nrhs, a, lda, x, lda,
526  $ work, lda, rwork, result( 2 ) )
527 *
528 *
529 * Print information about the tests that did not pass
530 * the threshold.
531 *
532  DO 120 k = 2, 2
533  IF( result( k ).GE.thresh ) THEN
534  IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
535  $ CALL alahd( nout, path )
536  WRITE( nout, fmt = 9998 )uplo, n, nrhs,
537  $ imat, k, result( k )
538  nfail = nfail + 1
539  END IF
540  120 CONTINUE
541  END IF
542  nrun = nrun + 1
543 *
544 * End do for each value of NRHS in NSVAL.
545 *
546  130 CONTINUE
547  140 CONTINUE
548  150 CONTINUE
549  160 CONTINUE
550  170 CONTINUE
551  180 CONTINUE
552 *
553 * Print a summary of the results.
554 *
555  CALL alasum( path, nout, nfail, nrun, nerrs )
556 *
557  9999 FORMAT( ' UPLO = ''', a1, ''', N =', i5, ', NB =', i4, ', type ',
558  $ i2, ', test ', i2, ', ratio =', g12.5 )
559  9998 FORMAT( ' UPLO = ''', a1, ''', N =', i5, ', NRHS=', i3, ', type ',
560  $ i2, ', test(', i2, ') =', g12.5 )
561  9995 FORMAT( ' Invalid input value: ', a4, '=', i6, '; must be <=',
562  $ i6 )
563  RETURN
564 *
565 * End of DCHKSY_AA
566 *
567  END
dlatms
subroutine dlatms(M, N, DIST, ISEED, SYM, D, MODE, COND, DMAX, KL, KU, PACK, A, LDA, WORK, INFO)
DLATMS
Definition: dlatms.f:323
dchksy_aa
subroutine dchksy_aa(DOTYPE, NN, NVAL, NNB, NBVAL, NNS, NSVAL, THRESH, TSTERR, NMAX, A, AFAC, AINV, B, X, XACT, WORK, RWORK, IWORK, NOUT)
DCHKSY_AA
Definition: dchksy_aa.f:174
alahd
subroutine alahd(IOUNIT, PATH)
ALAHD
Definition: alahd.f:109
dlarhs
subroutine dlarhs(PATH, XTYPE, UPLO, TRANS, M, N, KL, KU, NRHS, A, LDA, X, LDX, B, LDB, ISEED, INFO)
DLARHS
Definition: dlarhs.f:206
dsytrs_aa
subroutine dsytrs_aa(UPLO, N, NRHS, A, LDA, IPIV, B, LDB, WORK, LWORK, INFO)
DSYTRS_AA
Definition: dsytrs_aa.f:133
dlatb4
subroutine dlatb4(PATH, IMAT, M, N, TYPE, KL, KU, ANORM, MODE, CNDNUM, DIST)
DLATB4
Definition: dlatb4.f:122
dsyt01_aa
subroutine dsyt01_aa(UPLO, N, A, LDA, AFAC, LDAFAC, IPIV, C, LDC, RWORK, RESID)
DSYT01
Definition: dsyt01_aa.f:128
derrsy
subroutine derrsy(PATH, NUNIT)
DERRSY
Definition: derrsy.f:57
alaerh
subroutine alaerh(PATH, SUBNAM, INFO, INFOE, OPTS, M, N, KL, KU, N5, IMAT, NFAIL, NERRS, NOUT)
ALAERH
Definition: alaerh.f:149
dsytrf_aa
subroutine dsytrf_aa(UPLO, N, A, LDA, IPIV, WORK, LWORK, INFO)
DSYTRF_AA
Definition: dsytrf_aa.f:134
alasum
subroutine alasum(TYPE, NOUT, NFAIL, NRUN, NERRS)
ALASUM
Definition: alasum.f:75
dpot02
subroutine dpot02(UPLO, N, NRHS, A, LDA, X, LDX, B, LDB, RWORK, RESID)
DPOT02
Definition: dpot02.f:129
xlaenv
subroutine xlaenv(ISPEC, NVALUE)
XLAENV
Definition: xlaenv.f:83
dlacpy
subroutine dlacpy(UPLO, M, N, A, LDA, B, LDB)
DLACPY copies all or part of one two-dimensional array to another.
Definition: dlacpy.f:105