LAPACK  3.7.0
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 (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 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 *> \date December 2016
165 *
166 * @generated from LIN/dchksy_aa.f, fortran d -> c, Wed Nov 16 21:34:18 2016
167 *
168 *> \ingroup complex_lin
169 *
170 * =====================================================================
171  SUBROUTINE cchksy_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 3.7.0) --
176 * -- LAPACK is a software package provided by Univ. of Tennessee, --
177 * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
178 * December 2016
179 *
180  IMPLICIT NONE
181 *
182 * .. Scalar Arguments ..
183  LOGICAL TSTERR
184  INTEGER NN, NNB, NNS, NMAX, NOUT
185  REAL THRESH
186 * ..
187 * .. Array Arguments ..
188  LOGICAL DOTYPE( * )
189  INTEGER IWORK( * ), NBVAL( * ), NSVAL( * ), NVAL( * )
190  REAL RWORK( * )
191  COMPLEX A( * ), AFAC( * ), AINV( * ), B( * ),
192  $ work( * ), x( * ), xact( * )
193 * ..
194 *
195 * =====================================================================
196 *
197 * .. Parameters ..
198  REAL ZERO
199  parameter ( zero = 0.0d+0 )
200  COMPLEX CZERO
201  parameter ( czero = 0.0e+0 )
202  INTEGER NTYPES
203  parameter ( ntypes = 10 )
204  INTEGER NTESTS
205  parameter ( ntests = 9 )
206 * ..
207 * .. Local Scalars ..
208  LOGICAL ZEROT
209  CHARACTER DIST, TYPE, UPLO, XTYPE
210  CHARACTER*3 PATH, MATPATH
211  INTEGER I, I1, I2, IMAT, IN, INB, INFO, IOFF, IRHS,
212  $ iuplo, izero, j, k, kl, ku, lda, lwork, mode,
213  $ n, nb, nerrs, nfail, nimat, nrhs, nrun, nt
214  REAL ANORM, CNDNUM
215 * ..
216 * .. Local Arrays ..
217  CHARACTER UPLOS( 2 )
218  INTEGER ISEED( 4 ), ISEEDY( 4 )
219  REAL RESULT( ntests )
220 * ..
221 * .. External Functions ..
222  REAL DGET06, CLANSY
223  EXTERNAL dget06, clansy
224 * ..
225 * .. External Subroutines ..
226  EXTERNAL alaerh, alahd, alasum, cerrsy, cget04, clacpy,
227  $ clarhs, clatb4, clatms, csyt02, dsyt03, dsyt05,
228  $ dsycon, csyrfs, csyt01_aa, csytrf_aa,
229  $ dsytri2, csytrs_aa, xlaenv
230 * ..
231 * .. Intrinsic Functions ..
232  INTRINSIC max, min
233 * ..
234 * .. Scalars in Common ..
235  LOGICAL LERR, OK
236  CHARACTER*32 SRNAMT
237  INTEGER INFOT, NUNIT
238 * ..
239 * .. Common blocks ..
240  COMMON / infoc / infot, nunit, ok, lerr
241  COMMON / srnamc / srnamt
242 * ..
243 * .. Data statements ..
244  DATA iseedy / 1988, 1989, 1990, 1991 /
245  DATA uplos / 'U', 'L' /
246 * ..
247 * .. Executable Statements ..
248 *
249 * Initialize constants and the random number seed.
250 *
251 * Test path
252 *
253  path( 1: 1 ) = 'Complex precision'
254  path( 2: 3 ) = 'SA'
255 *
256 * Path to generate matrices
257 *
258  matpath( 1: 1 ) = 'Complex precision'
259  matpath( 2: 3 ) = 'SY'
260  nrun = 0
261  nfail = 0
262  nerrs = 0
263  DO 10 i = 1, 4
264  iseed( i ) = iseedy( i )
265  10 CONTINUE
266 *
267 * Test the error exits
268 *
269  IF( tsterr )
270  $ CALL cerrsy( path, nout )
271  infot = 0
272 *
273 * Set the minimum block size for which the block routine should
274 * be used, which will be later returned by ILAENV
275 *
276  CALL xlaenv( 2, 2 )
277 *
278 * Do for each value of N in NVAL
279 *
280  DO 180 in = 1, nn
281  n = nval( in )
282  IF( n .GT. nmax ) THEN
283  nfail = nfail + 1
284  WRITE(nout, 9995) 'M ', n, nmax
285  GO TO 180
286  END IF
287  lda = max( n, 1 )
288  xtype = 'N'
289  nimat = ntypes
290  IF( n.LE.0 )
291  $ nimat = 1
292 *
293  izero = 0
294 *
295 * Do for each value of matrix type IMAT
296 *
297  DO 170 imat = 1, nimat
298 *
299 * Do the tests only if DOTYPE( IMAT ) is true.
300 *
301  IF( .NOT.dotype( imat ) )
302  $ GO TO 170
303 *
304 * Skip types 3, 4, 5, or 6 if the matrix size is too small.
305 *
306  zerot = imat.GE.3 .AND. imat.LE.6
307  IF( zerot .AND. n.LT.imat-2 )
308  $ GO TO 170
309 *
310 * Do first for UPLO = 'U', then for UPLO = 'L'
311 *
312  DO 160 iuplo = 1, 2
313  uplo = uplos( iuplo )
314 *
315 * Begin generate the test matrix A.
316 *
317 *
318 * Set up parameters with CLATB4 for the matrix generator
319 * based on the type of matrix to be generated.
320 *
321  CALL clatb4( matpath, imat, n, n, TYPE, KL, KU,
322  $ anorm, mode, cndnum, dist )
323 *
324 * Generate a matrix with CLATMS.
325 *
326  srnamt = 'CLATMS'
327  CALL clatms( n, n, dist, iseed, TYPE, RWORK, MODE,
328  $ cndnum, anorm, kl, ku, uplo, a, lda, work,
329  $ info )
330 *
331 * Check error code from CLATMS and handle error.
332 *
333  IF( info.NE.0 ) THEN
334  CALL alaerh( path, 'CLATMS', info, 0, uplo, n, n, -1,
335  $ -1, -1, imat, nfail, nerrs, nout )
336 *
337 * Skip all tests for this generated matrix
338 *
339  GO TO 160
340  END IF
341 *
342 * For matrix types 3-6, zero one or more rows and
343 * columns of the matrix to test that INFO is returned
344 * correctly.
345 *
346  IF( zerot ) THEN
347  IF( imat.EQ.3 ) THEN
348  izero = 1
349  ELSE IF( imat.EQ.4 ) THEN
350  izero = n
351  ELSE
352  izero = n / 2 + 1
353  END IF
354 *
355  IF( imat.LT.6 ) THEN
356 *
357 * Set row and column IZERO to zero.
358 *
359  IF( iuplo.EQ.1 ) THEN
360  ioff = ( izero-1 )*lda
361  DO 20 i = 1, izero - 1
362  a( ioff+i ) = czero
363  20 CONTINUE
364  ioff = ioff + izero
365  DO 30 i = izero, n
366  a( ioff ) = czero
367  ioff = ioff + lda
368  30 CONTINUE
369  ELSE
370  ioff = izero
371  DO 40 i = 1, izero - 1
372  a( ioff ) = czero
373  ioff = ioff + lda
374  40 CONTINUE
375  ioff = ioff - izero
376  DO 50 i = izero, n
377  a( ioff+i ) = czero
378  50 CONTINUE
379  END IF
380  ELSE
381  IF( iuplo.EQ.1 ) THEN
382 *
383 * Set the first IZERO rows and columns to zero.
384 *
385  ioff = 0
386  DO 70 j = 1, n
387  i2 = min( j, izero )
388  DO 60 i = 1, i2
389  a( ioff+i ) = czero
390  60 CONTINUE
391  ioff = ioff + lda
392  70 CONTINUE
393  izero = 1
394  ELSE
395 *
396 * Set the last IZERO rows and columns to zero.
397 *
398  ioff = 0
399  DO 90 j = 1, n
400  i1 = max( j, izero )
401  DO 80 i = i1, n
402  a( ioff+i ) = czero
403  80 CONTINUE
404  ioff = ioff + lda
405  90 CONTINUE
406  END IF
407  END IF
408  ELSE
409  izero = 0
410  END IF
411 *
412 * End generate the test matrix A.
413 *
414 * Do for each value of NB in NBVAL
415 *
416  DO 150 inb = 1, nnb
417 *
418 * Set the optimal blocksize, which will be later
419 * returned by ILAENV.
420 *
421  nb = nbval( inb )
422  CALL xlaenv( 1, nb )
423 *
424 * Copy the test matrix A into matrix AFAC which
425 * will be factorized in place. This is needed to
426 * preserve the test matrix A for subsequent tests.
427 *
428  CALL clacpy( uplo, n, n, a, lda, afac, lda )
429 *
430 * Compute the L*D*L**T or U*D*U**T factorization of the
431 * matrix. IWORK stores details of the interchanges and
432 * the block structure of D. AINV is a work array for
433 * block factorization, LWORK is the length of AINV.
434 *
435  srnamt = 'CSYTRF_AA'
436  lwork = max( 1, n*nb + n )
437  CALL csytrf_aa( uplo, n, afac, lda, iwork, ainv,
438  $ lwork, info )
439 *
440 * Adjust the expected value of INFO to account for
441 * pivoting.
442 *
443  IF( izero.GT.0 ) THEN
444  j = 1
445  k = izero
446  100 CONTINUE
447  IF( j.EQ.k ) THEN
448  k = iwork( j )
449  ELSE IF( iwork( j ).EQ.k ) THEN
450  k = j
451  END IF
452  IF( j.LT.k ) THEN
453  j = j + 1
454  GO TO 100
455  END IF
456  ELSE
457  k = 0
458  END IF
459 *
460 * Check error code from CSYTRF and handle error.
461 *
462  IF( info.NE.k ) THEN
463  CALL alaerh( path, 'CSYTRF_AA', info, k, uplo,
464  $ n, n, -1, -1, nb, imat, nfail, nerrs,
465  $ nout )
466  END IF
467 *
468 *+ TEST 1
469 * Reconstruct matrix from factors and compute residual.
470 *
471  CALL csyt01_aa( uplo, n, a, lda, afac, lda, iwork,
472  $ ainv, lda, rwork, result( 1 ) )
473  nt = 1
474 *
475 *
476 * Print information about the tests that did not pass
477 * the threshold.
478 *
479  DO 110 k = 1, nt
480  IF( result( k ).GE.thresh ) THEN
481  IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
482  $ CALL alahd( nout, path )
483  WRITE( nout, fmt = 9999 )uplo, n, nb, imat, k,
484  $ result( k )
485  nfail = nfail + 1
486  END IF
487  110 CONTINUE
488  nrun = nrun + nt
489 *
490 * Skip solver test if INFO is not 0.
491 *
492  IF( info.NE.0 ) THEN
493  GO TO 140
494  END IF
495 *
496 * Do for each value of NRHS in NSVAL.
497 *
498  DO 130 irhs = 1, nns
499  nrhs = nsval( irhs )
500 *
501 *+ TEST 2 (Using TRS)
502 * Solve and compute residual for A * X = B.
503 *
504 * Choose a set of NRHS random solution vectors
505 * stored in XACT and set up the right hand side B
506 *
507  srnamt = 'CLARHS'
508  CALL clarhs( matpath, xtype, uplo, ' ', n, n,
509  $ kl, ku, nrhs, a, lda, xact, lda,
510  $ b, lda, iseed, info )
511  CALL clacpy( 'Full', n, nrhs, b, lda, x, lda )
512 *
513  srnamt = 'CSYTRS_AA'
514  lwork = max( 1, 3*n-2 )
515  CALL csytrs_aa( uplo, n, nrhs, afac, lda,
516  $ iwork, x, lda, work, lwork,
517  $ info )
518 *
519 * Check error code from CSYTRS and handle error.
520 *
521  IF( info.NE.0 ) THEN
522  CALL alaerh( path, 'CSYTRS_AA', info, 0,
523  $ uplo, n, n, -1, -1, nrhs, imat,
524  $ nfail, nerrs, nout )
525  END IF
526 *
527  CALL clacpy( 'Full', n, nrhs, b, lda, work, lda )
528 *
529 * Compute the residual for the solution
530 *
531  CALL csyt02( uplo, n, nrhs, a, lda, x, lda, work,
532  $ lda, rwork, result( 2 ) )
533 *
534 *
535 * Print information about the tests that did not pass
536 * the threshold.
537 *
538  DO 120 k = 2, 2
539  IF( result( k ).GE.thresh ) THEN
540  IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
541  $ CALL alahd( nout, path )
542  WRITE( nout, fmt = 9998 )uplo, n, nrhs,
543  $ imat, k, result( k )
544  nfail = nfail + 1
545  END IF
546  120 CONTINUE
547  nrun = nrun + 1
548 *
549 * End do for each value of NRHS in NSVAL.
550 *
551  130 CONTINUE
552  140 CONTINUE
553  150 CONTINUE
554  160 CONTINUE
555  170 CONTINUE
556  180 CONTINUE
557 *
558 * Print a summary of the results.
559 *
560  CALL alasum( path, nout, nfail, nrun, nerrs )
561 *
562  9999 FORMAT( ' UPLO = ''', a1, ''', N =', i5, ', NB =', i4, ', type ',
563  $ i2, ', test ', i2, ', ratio =', g12.5 )
564  9998 FORMAT( ' UPLO = ''', a1, ''', N =', i5, ', NRHS=', i3, ', type ',
565  $ i2, ', test(', i2, ') =', g12.5 )
566  9995 FORMAT( ' Invalid input value: ', a4, '=', i6, '; must be <=',
567  $ i6 )
568  RETURN
569 *
570 * End of CCHKSY_AA
571 *
572  END
alahd
subroutine alahd(IOUNIT, PATH)
ALAHD
Definition: alahd.f:107
csyrfs
subroutine csyrfs(UPLO, N, NRHS, A, LDA, AF, LDAF, IPIV, B, LDB, X, LDX, FERR, BERR, WORK, RWORK, INFO)
CSYRFS
Definition: csyrfs.f:194
alaerh
subroutine alaerh(PATH, SUBNAM, INFO, INFOE, OPTS, M, N, KL, KU, N5, IMAT, NFAIL, NERRS, NOUT)
ALAERH
Definition: alaerh.f:149
csytrs_aa
subroutine csytrs_aa(UPLO, N, NRHS, A, LDA, IPIV, B, LDB, WORK, LWORK, INFO)
CSYTRS_AA
Definition: csytrs_aa.f:131
clarhs
subroutine clarhs(PATH, XTYPE, UPLO, TRANS, M, N, KL, KU, NRHS, A, LDA, X, LDX, B, LDB, ISEED, INFO)
CLARHS
Definition: clarhs.f:211
csytrf_aa
subroutine csytrf_aa(UPLO, N, A, LDA, IPIV, WORK, LWORK, INFO)
CSYTRF_AA
Definition: csytrf_aa.f:138
csyt02
subroutine csyt02(UPLO, N, NRHS, A, LDA, X, LDX, B, LDB, RWORK, RESID)
CSYT02
Definition: csyt02.f:129
cerrsy
subroutine cerrsy(PATH, NUNIT)
CERRSY
Definition: cerrsy.f:57
csyt01_aa
subroutine csyt01_aa(UPLO, N, A, LDA, AFAC, LDAFAC, IPIV, C, LDC, RWORK, RESID)
CSYT01
Definition: csyt01_aa.f:128
dsytri2
subroutine dsytri2(UPLO, N, A, LDA, IPIV, WORK, LWORK, INFO)
DSYTRI2
Definition: dsytri2.f:129
dsycon
subroutine dsycon(UPLO, N, A, LDA, IPIV, ANORM, RCOND, WORK, IWORK, INFO)
DSYCON
Definition: dsycon.f:132
xlaenv
subroutine xlaenv(ISPEC, NVALUE)
XLAENV
Definition: xlaenv.f:83
cchksy_aa
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:174
clatms
subroutine clatms(M, N, DIST, ISEED, SYM, D, MODE, COND, DMAX, KL, KU, PACK, A, LDA, WORK, INFO)
CLATMS
Definition: clatms.f:334
clacpy
subroutine clacpy(UPLO, M, N, A, LDA, B, LDB)
CLACPY copies all or part of one two-dimensional array to another.
Definition: clacpy.f:105
clatb4
subroutine clatb4(PATH, IMAT, M, N, TYPE, KL, KU, ANORM, MODE, CNDNUM, DIST)
CLATB4
Definition: clatb4.f:123
cget04
subroutine cget04(N, NRHS, X, LDX, XACT, LDXACT, RCOND, RESID)
CGET04
Definition: cget04.f:104
alasum
subroutine alasum(TYPE, NOUT, NFAIL, NRUN, NERRS)
ALASUM
Definition: alasum.f:75