LAPACK  3.10.1
LAPACK: Linear Algebra PACKage
cchksy_aa.f
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1 *> \brief \b CCHKSY_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 CCHKSY_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 * REAL THRESH
19 * ..
20 * .. Array Arguments ..
21 * LOGICAL DOTYPE( * )
22 * INTEGER IWORK( * ), NBVAL( * ), NSVAL( * ), NVAL( * )
23 * COMPLEX A( * ), AFAC( * ), AINV( * ), B( * ),
24 * $ RWORK( * ), WORK( * ), X( * ), XACT( * )
25 * ..
26 *
27 *
28 *> \par Purpose:
29 * =============
30 *>
31 *> \verbatim
32 *>
33 *> CCHKSY_AA tests CSYTRF_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 (NNB)
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 REAL
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 REAL array, dimension (NMAX*NMAX)
107 *> \endverbatim
108 *>
109 *> \param[out] AFAC
110 *> \verbatim
111 *> AFAC is REAL array, dimension (NMAX*NMAX)
112 *> \endverbatim
113 *>
114 *> \param[out] AINV
115 *> \verbatim
116 *> AINV is REAL array, dimension (NMAX*NMAX)
117 *> \endverbatim
118 *>
119 *> \param[out] B
120 *> \verbatim
121 *> B is REAL 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 REAL array, dimension (NMAX*NSMAX)
128 *> \endverbatim
129 *>
130 *> \param[out] XACT
131 *> \verbatim
132 *> XACT is REAL array, dimension (NMAX*NSMAX)
133 *> \endverbatim
134 *>
135 *> \param[out] WORK
136 *> \verbatim
137 *> WORK is REAL array, dimension (NMAX*max(3,NSMAX))
138 *> \endverbatim
139 *>
140 *> \param[out] RWORK
141 *> \verbatim
142 *> RWORK is REAL 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 *> \ingroup complex_lin
165 *
166 * =====================================================================
167  SUBROUTINE cchksy_aa( DOTYPE, NN, NVAL, NNB, NBVAL, NNS, NSVAL,
168  $ THRESH, TSTERR, NMAX, A, AFAC, AINV, B,
169  $ X, XACT, WORK, RWORK, IWORK, NOUT )
170 *
171 * -- LAPACK test routine --
172 * -- LAPACK is a software package provided by Univ. of Tennessee, --
173 * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
174 *
175  IMPLICIT NONE
176 *
177 * .. Scalar Arguments ..
178  LOGICAL TSTERR
179  INTEGER NN, NNB, NNS, NMAX, NOUT
180  REAL THRESH
181 * ..
182 * .. Array Arguments ..
183  LOGICAL DOTYPE( * )
184  INTEGER IWORK( * ), NBVAL( * ), NSVAL( * ), NVAL( * )
185  REAL RWORK( * )
186  COMPLEX A( * ), AFAC( * ), AINV( * ), B( * ),
187  $ work( * ), x( * ), xact( * )
188 * ..
189 *
190 * =====================================================================
191 *
192 * .. Parameters ..
193  REAL ZERO
194  PARAMETER ( ZERO = 0.0d+0 )
195  COMPLEX CZERO
196  parameter( czero = 0.0e+0 )
197  INTEGER NTYPES
198  parameter( ntypes = 10 )
199  INTEGER NTESTS
200  parameter( ntests = 9 )
201 * ..
202 * .. Local Scalars ..
203  LOGICAL ZEROT
204  CHARACTER DIST, TYPE, UPLO, XTYPE
205  CHARACTER*3 PATH, MATPATH
206  INTEGER I, I1, I2, IMAT, IN, INB, INFO, IOFF, IRHS,
207  $ iuplo, izero, j, k, kl, ku, lda, lwork, mode,
208  $ n, nb, nerrs, nfail, nimat, nrhs, nrun, nt
209  REAL ANORM, CNDNUM
210 * ..
211 * .. Local Arrays ..
212  CHARACTER UPLOS( 2 )
213  INTEGER ISEED( 4 ), ISEEDY( 4 )
214  REAL RESULT( NTESTS )
215 * ..
216 * .. External Subroutines ..
217  EXTERNAL alaerh, alahd, alasum, cerrsy, clacpy, clarhs,
219  $ csytrs_aa, xlaenv
220 * ..
221 * .. Intrinsic Functions ..
222  INTRINSIC max, min
223 * ..
224 * .. Scalars in Common ..
225  LOGICAL LERR, OK
226  CHARACTER*32 SRNAMT
227  INTEGER INFOT, NUNIT
228 * ..
229 * .. Common blocks ..
230  COMMON / infoc / infot, nunit, ok, lerr
231  COMMON / srnamc / srnamt
232 * ..
233 * .. Data statements ..
234  DATA iseedy / 1988, 1989, 1990, 1991 /
235  DATA uplos / 'U', 'L' /
236 * ..
237 * .. Executable Statements ..
238 *
239 * Initialize constants and the random number seed.
240 *
241 * Test path
242 *
243  path( 1: 1 ) = 'Complex precision'
244  path( 2: 3 ) = 'SA'
245 *
246 * Path to generate matrices
247 *
248  matpath( 1: 1 ) = 'Complex precision'
249  matpath( 2: 3 ) = 'SY'
250  nrun = 0
251  nfail = 0
252  nerrs = 0
253  DO 10 i = 1, 4
254  iseed( i ) = iseedy( i )
255  10 CONTINUE
256 *
257 * Test the error exits
258 *
259  IF( tsterr )
260  $ CALL cerrsy( path, nout )
261  infot = 0
262 *
263 * Set the minimum block size for which the block routine should
264 * be used, which will be later returned by ILAENV
265 *
266  CALL xlaenv( 2, 2 )
267 *
268 * Do for each value of N in NVAL
269 *
270  DO 180 in = 1, nn
271  n = nval( in )
272  IF( n .GT. nmax ) THEN
273  nfail = nfail + 1
274  WRITE(nout, 9995) 'M ', n, nmax
275  GO TO 180
276  END IF
277  lda = max( n, 1 )
278  xtype = 'N'
279  nimat = ntypes
280  IF( n.LE.0 )
281  $ nimat = 1
282 *
283  izero = 0
284 *
285 * Do for each value of matrix type IMAT
286 *
287  DO 170 imat = 1, nimat
288 *
289 * Do the tests only if DOTYPE( IMAT ) is true.
290 *
291  IF( .NOT.dotype( imat ) )
292  $ GO TO 170
293 *
294 * Skip types 3, 4, 5, or 6 if the matrix size is too small.
295 *
296  zerot = imat.GE.3 .AND. imat.LE.6
297  IF( zerot .AND. n.LT.imat-2 )
298  $ GO TO 170
299 *
300 * Do first for UPLO = 'U', then for UPLO = 'L'
301 *
302  DO 160 iuplo = 1, 2
303  uplo = uplos( iuplo )
304 *
305 * Begin generate the test matrix A.
306 *
307 *
308 * Set up parameters with CLATB4 for the matrix generator
309 * based on the type of matrix to be generated.
310 *
311  CALL clatb4( matpath, imat, n, n, TYPE, kl, ku,
312  $ anorm, mode, cndnum, dist )
313 *
314 * Generate a matrix with CLATMS.
315 *
316  srnamt = 'CLATMS'
317  CALL clatms( n, n, dist, iseed, TYPE, rwork, mode,
318  $ cndnum, anorm, kl, ku, uplo, a, lda, work,
319  $ info )
320 *
321 * Check error code from CLATMS and handle error.
322 *
323  IF( info.NE.0 ) THEN
324  CALL alaerh( path, 'CLATMS', info, 0, uplo, n, n, -1,
325  $ -1, -1, imat, nfail, nerrs, nout )
326 *
327 * Skip all tests for this generated matrix
328 *
329  GO TO 160
330  END IF
331 *
332 * For matrix types 3-6, zero one or more rows and
333 * columns of the matrix to test that INFO is returned
334 * correctly.
335 *
336  IF( zerot ) THEN
337  IF( imat.EQ.3 ) THEN
338  izero = 1
339  ELSE IF( imat.EQ.4 ) THEN
340  izero = n
341  ELSE
342  izero = n / 2 + 1
343  END IF
344 *
345  IF( imat.LT.6 ) THEN
346 *
347 * Set row and column IZERO to zero.
348 *
349  IF( iuplo.EQ.1 ) THEN
350  ioff = ( izero-1 )*lda
351  DO 20 i = 1, izero - 1
352  a( ioff+i ) = czero
353  20 CONTINUE
354  ioff = ioff + izero
355  DO 30 i = izero, n
356  a( ioff ) = czero
357  ioff = ioff + lda
358  30 CONTINUE
359  ELSE
360  ioff = izero
361  DO 40 i = 1, izero - 1
362  a( ioff ) = czero
363  ioff = ioff + lda
364  40 CONTINUE
365  ioff = ioff - izero
366  DO 50 i = izero, n
367  a( ioff+i ) = czero
368  50 CONTINUE
369  END IF
370  ELSE
371  IF( iuplo.EQ.1 ) THEN
372 *
373 * Set the first IZERO rows and columns to zero.
374 *
375  ioff = 0
376  DO 70 j = 1, n
377  i2 = min( j, izero )
378  DO 60 i = 1, i2
379  a( ioff+i ) = czero
380  60 CONTINUE
381  ioff = ioff + lda
382  70 CONTINUE
383  izero = 1
384  ELSE
385 *
386 * Set the last IZERO rows and columns to zero.
387 *
388  ioff = 0
389  DO 90 j = 1, n
390  i1 = max( j, izero )
391  DO 80 i = i1, n
392  a( ioff+i ) = czero
393  80 CONTINUE
394  ioff = ioff + lda
395  90 CONTINUE
396  END IF
397  END IF
398  ELSE
399  izero = 0
400  END IF
401 *
402 * End generate the test matrix A.
403 *
404 * Do for each value of NB in NBVAL
405 *
406  DO 150 inb = 1, nnb
407 *
408 * Set the optimal blocksize, which will be later
409 * returned by ILAENV.
410 *
411  nb = nbval( inb )
412  CALL xlaenv( 1, nb )
413 *
414 * Copy the test matrix A into matrix AFAC which
415 * will be factorized in place. This is needed to
416 * preserve the test matrix A for subsequent tests.
417 *
418  CALL clacpy( uplo, n, n, a, lda, afac, lda )
419 *
420 * Compute the L*D*L**T or U*D*U**T factorization of the
421 * matrix. IWORK stores details of the interchanges and
422 * the block structure of D. AINV is a work array for
423 * block factorization, LWORK is the length of AINV.
424 *
425  srnamt = 'CSYTRF_AA'
426  lwork = max( 1, n*nb + n )
427  CALL csytrf_aa( uplo, n, afac, lda, iwork, ainv,
428  $ lwork, info )
429 *
430 * Adjust the expected value of INFO to account for
431 * pivoting.
432 *
433 c IF( IZERO.GT.0 ) THEN
434 c J = 1
435 c K = IZERO
436 c 100 CONTINUE
437 c IF( J.EQ.K ) THEN
438 c K = IWORK( J )
439 c ELSE IF( IWORK( J ).EQ.K ) THEN
440 c K = J
441 c END IF
442 c IF( J.LT.K ) THEN
443 c J = J + 1
444 c GO TO 100
445 c END IF
446 c ELSE
447  k = 0
448 c END IF
449 *
450 * Check error code from CSYTRF and handle error.
451 *
452  IF( info.NE.k ) THEN
453  CALL alaerh( path, 'CSYTRF_AA', info, k, uplo,
454  $ n, n, -1, -1, nb, imat, nfail, nerrs,
455  $ nout )
456  END IF
457 *
458 *+ TEST 1
459 * Reconstruct matrix from factors and compute residual.
460 *
461  CALL csyt01_aa( uplo, n, a, lda, afac, lda, iwork,
462  $ ainv, lda, rwork, result( 1 ) )
463  nt = 1
464 *
465 *
466 * Print information about the tests that did not pass
467 * the threshold.
468 *
469  DO 110 k = 1, nt
470  IF( result( k ).GE.thresh ) THEN
471  IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
472  $ CALL alahd( nout, path )
473  WRITE( nout, fmt = 9999 )uplo, n, nb, imat, k,
474  $ result( k )
475  nfail = nfail + 1
476  END IF
477  110 CONTINUE
478  nrun = nrun + nt
479 *
480 * Skip solver test if INFO is not 0.
481 *
482  IF( info.NE.0 ) THEN
483  GO TO 140
484  END IF
485 *
486 * Do for each value of NRHS in NSVAL.
487 *
488  DO 130 irhs = 1, nns
489  nrhs = nsval( irhs )
490 *
491 *+ TEST 2 (Using TRS)
492 * Solve and compute residual for A * X = B.
493 *
494 * Choose a set of NRHS random solution vectors
495 * stored in XACT and set up the right hand side B
496 *
497  srnamt = 'CLARHS'
498  CALL clarhs( matpath, xtype, uplo, ' ', n, n,
499  $ kl, ku, nrhs, a, lda, xact, lda,
500  $ b, lda, iseed, info )
501  CALL clacpy( 'Full', n, nrhs, b, lda, x, lda )
502 *
503  srnamt = 'CSYTRS_AA'
504  lwork = max( 1, 3*n-2 )
505  CALL csytrs_aa( uplo, n, nrhs, afac, lda,
506  $ iwork, x, lda, work, lwork,
507  $ info )
508 *
509 * Check error code from CSYTRS and handle error.
510 *
511  IF( info.NE.0 ) THEN
512  IF( izero.EQ.0 ) THEN
513  CALL alaerh( path, 'CSYTRS_AA', info, 0,
514  $ uplo, n, n, -1, -1, nrhs, imat,
515  $ nfail, nerrs, nout )
516  END IF
517  ELSE
518  CALL clacpy( 'Full', n, nrhs, b, lda, work, lda
519  $ )
520 *
521 * Compute the residual for the solution
522 *
523  CALL csyt02( uplo, n, nrhs, a, lda, x, lda,
524  $ work, lda, rwork, result( 2 ) )
525 *
526 *
527 * Print information about the tests that did not pass
528 * the threshold.
529 *
530  DO 120 k = 2, 2
531  IF( result( k ).GE.thresh ) THEN
532  IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
533  $ CALL alahd( nout, path )
534  WRITE( nout, fmt = 9998 )uplo, n, nrhs,
535  $ imat, k, result( k )
536  nfail = nfail + 1
537  END IF
538  120 CONTINUE
539  END IF
540  nrun = nrun + 1
541 *
542 * End do for each value of NRHS in NSVAL.
543 *
544  130 CONTINUE
545  140 CONTINUE
546  150 CONTINUE
547  160 CONTINUE
548  170 CONTINUE
549  180 CONTINUE
550 *
551 * Print a summary of the results.
552 *
553  CALL alasum( path, nout, nfail, nrun, nerrs )
554 *
555  9999 FORMAT( ' UPLO = ''', a1, ''', N =', i5, ', NB =', i4, ', type ',
556  $ i2, ', test ', i2, ', ratio =', g12.5 )
557  9998 FORMAT( ' UPLO = ''', a1, ''', N =', i5, ', NRHS=', i3, ', type ',
558  $ i2, ', test(', i2, ') =', g12.5 )
559  9995 FORMAT( ' Invalid input value: ', a4, '=', i6, '; must be <=',
560  $ i6 )
561  RETURN
562 *
563 * End of CCHKSY_AA
564 *
565  END
subroutine alasum(TYPE, NOUT, NFAIL, NRUN, NERRS)
ALASUM
Definition: alasum.f:73
subroutine xlaenv(ISPEC, NVALUE)
XLAENV
Definition: xlaenv.f:81
subroutine alahd(IOUNIT, PATH)
ALAHD
Definition: alahd.f:107
subroutine alaerh(PATH, SUBNAM, INFO, INFOE, OPTS, M, N, KL, KU, N5, IMAT, NFAIL, NERRS, NOUT)
ALAERH
Definition: alaerh.f:147
subroutine clarhs(PATH, XTYPE, UPLO, TRANS, M, N, KL, KU, NRHS, A, LDA, X, LDX, B, LDB, ISEED, INFO)
CLARHS
Definition: clarhs.f:208
subroutine clatb4(PATH, IMAT, M, N, TYPE, KL, KU, ANORM, MODE, CNDNUM, DIST)
CLATB4
Definition: clatb4.f:121
subroutine csyt01_aa(UPLO, N, A, LDA, AFAC, LDAFAC, IPIV, C, LDC, RWORK, RESID)
CSYT01
Definition: csyt01_aa.f:124
subroutine cerrsy(PATH, NUNIT)
CERRSY
Definition: cerrsy.f:55
subroutine cchksy_aa(DOTYPE, NN, NVAL, NNB, NBVAL, NNS, NSVAL, THRESH, TSTERR, NMAX, A, AFAC, AINV, B, X, XACT, WORK, RWORK, IWORK, NOUT)
CCHKSY_AA
Definition: cchksy_aa.f:170
subroutine csyt02(UPLO, N, NRHS, A, LDA, X, LDX, B, LDB, RWORK, RESID)
CSYT02
Definition: csyt02.f:127
subroutine clatms(M, N, DIST, ISEED, SYM, D, MODE, COND, DMAX, KL, KU, PACK, A, LDA, WORK, INFO)
CLATMS
Definition: clatms.f:332
subroutine clacpy(UPLO, M, N, A, LDA, B, LDB)
CLACPY copies all or part of one two-dimensional array to another.
Definition: clacpy.f:103
subroutine csytrs_aa(UPLO, N, NRHS, A, LDA, IPIV, B, LDB, WORK, LWORK, INFO)
CSYTRS_AA
Definition: csytrs_aa.f:131
subroutine csytrf_aa(UPLO, N, A, LDA, IPIV, WORK, LWORK, INFO)
CSYTRF_AA
Definition: csytrf_aa.f:132