LAPACK  3.10.1
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 (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 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 *> \ingroup double_lin
165 *
166 * =====================================================================
167  SUBROUTINE dchksy_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  DOUBLE PRECISION THRESH
181 * ..
182 * .. Array Arguments ..
183  LOGICAL DOTYPE( * )
184  INTEGER IWORK( * ), NBVAL( * ), NSVAL( * ), NVAL( * )
185  DOUBLE PRECISION A( * ), AFAC( * ), AINV( * ), B( * ),
186  $ rwork( * ), work( * ), x( * ), xact( * )
187 * ..
188 *
189 * =====================================================================
190 *
191 * .. Parameters ..
192  DOUBLE PRECISION ZERO, ONE
193  PARAMETER ( ZERO = 0.0d+0, one = 1.0d+0 )
194  INTEGER NTYPES
195  parameter( ntypes = 10 )
196  INTEGER NTESTS
197  parameter( ntests = 9 )
198 * ..
199 * .. Local Scalars ..
200  LOGICAL ZEROT
201  CHARACTER DIST, TYPE, UPLO, XTYPE
202  CHARACTER*3 PATH, MATPATH
203  INTEGER I, I1, I2, IMAT, IN, INB, INFO, IOFF, IRHS,
204  $ iuplo, izero, j, k, kl, ku, lda, lwork, mode,
205  $ n, nb, nerrs, nfail, nimat, nrhs, nrun, nt
206  DOUBLE PRECISION ANORM, CNDNUM
207 * ..
208 * .. Local Arrays ..
209  CHARACTER UPLOS( 2 )
210  INTEGER ISEED( 4 ), ISEEDY( 4 )
211  DOUBLE PRECISION RESULT( NTESTS )
212 * ..
213 * .. External Subroutines ..
214  EXTERNAL alaerh, alahd, alasum, derrsy, dlacpy, dlarhs,
216  $ dsytrs_aa, xlaenv
217 * ..
218 * .. Intrinsic Functions ..
219  INTRINSIC max, min
220 * ..
221 * .. Scalars in Common ..
222  LOGICAL LERR, OK
223  CHARACTER*32 SRNAMT
224  INTEGER INFOT, NUNIT
225 * ..
226 * .. Common blocks ..
227  COMMON / infoc / infot, nunit, ok, lerr
228  COMMON / srnamc / srnamt
229 * ..
230 * .. Data statements ..
231  DATA iseedy / 1988, 1989, 1990, 1991 /
232  DATA uplos / 'U', 'L' /
233 * ..
234 * .. Executable Statements ..
235 *
236 * Initialize constants and the random number seed.
237 *
238 * Test path
239 *
240  path( 1: 1 ) = 'Double precision'
241  path( 2: 3 ) = 'SA'
242 *
243 * Path to generate matrices
244 *
245  matpath( 1: 1 ) = 'Double precision'
246  matpath( 2: 3 ) = 'SY'
247  nrun = 0
248  nfail = 0
249  nerrs = 0
250  DO 10 i = 1, 4
251  iseed( i ) = iseedy( i )
252  10 CONTINUE
253 *
254 * Test the error exits
255 *
256  IF( tsterr )
257  $ CALL derrsy( path, nout )
258  infot = 0
259 *
260 * Set the minimum block size for which the block routine should
261 * be used, which will be later returned by ILAENV
262 *
263  CALL xlaenv( 2, 2 )
264 *
265 * Do for each value of N in NVAL
266 *
267  DO 180 in = 1, nn
268  n = nval( in )
269  IF( n .GT. nmax ) THEN
270  nfail = nfail + 1
271  WRITE(nout, 9995) 'M ', n, nmax
272  GO TO 180
273  END IF
274  lda = max( n, 1 )
275  xtype = 'N'
276  nimat = ntypes
277  IF( n.LE.0 )
278  $ nimat = 1
279 *
280  izero = 0
281 *
282 * Do for each value of matrix type IMAT
283 *
284  DO 170 imat = 1, nimat
285 *
286 * Do the tests only if DOTYPE( IMAT ) is true.
287 *
288  IF( .NOT.dotype( imat ) )
289  $ GO TO 170
290 *
291 * Skip types 3, 4, 5, or 6 if the matrix size is too small.
292 *
293  zerot = imat.GE.3 .AND. imat.LE.6
294  IF( zerot .AND. n.LT.imat-2 )
295  $ GO TO 170
296 *
297 * Do first for UPLO = 'U', then for UPLO = 'L'
298 *
299  DO 160 iuplo = 1, 2
300  uplo = uplos( iuplo )
301 *
302 * Begin generate the test matrix A.
303 *
304 *
305 * Set up parameters with DLATB4 for the matrix generator
306 * based on the type of matrix to be generated.
307 *
308  CALL dlatb4( matpath, imat, n, n, TYPE, kl, ku,
309  $ anorm, mode, cndnum, dist )
310 *
311 * Generate a matrix with DLATMS.
312 *
313  srnamt = 'DLATMS'
314  CALL dlatms( n, n, dist, iseed, TYPE, rwork, mode,
315  $ cndnum, anorm, kl, ku, uplo, a, lda, work,
316  $ info )
317 *
318 * Check error code from DLATMS and handle error.
319 *
320  IF( info.NE.0 ) THEN
321  CALL alaerh( path, 'DLATMS', info, 0, uplo, n, n, -1,
322  $ -1, -1, imat, nfail, nerrs, nout )
323 *
324 * Skip all tests for this generated matrix
325 *
326  GO TO 160
327  END IF
328 *
329 * For matrix types 3-6, zero one or more rows and
330 * columns of the matrix to test that INFO is returned
331 * correctly.
332 *
333  IF( zerot ) THEN
334  IF( imat.EQ.3 ) THEN
335  izero = 1
336  ELSE IF( imat.EQ.4 ) THEN
337  izero = n
338  ELSE
339  izero = n / 2 + 1
340  END IF
341 *
342  IF( imat.LT.6 ) THEN
343 *
344 * Set row and column IZERO to zero.
345 *
346  IF( iuplo.EQ.1 ) THEN
347  ioff = ( izero-1 )*lda
348  DO 20 i = 1, izero - 1
349  a( ioff+i ) = zero
350  20 CONTINUE
351  ioff = ioff + izero
352  DO 30 i = izero, n
353  a( ioff ) = zero
354  ioff = ioff + lda
355  30 CONTINUE
356  ELSE
357  ioff = izero
358  DO 40 i = 1, izero - 1
359  a( ioff ) = zero
360  ioff = ioff + lda
361  40 CONTINUE
362  ioff = ioff - izero
363  DO 50 i = izero, n
364  a( ioff+i ) = zero
365  50 CONTINUE
366  END IF
367  ELSE
368  IF( iuplo.EQ.1 ) THEN
369 *
370 * Set the first IZERO rows and columns to zero.
371 *
372  ioff = 0
373  DO 70 j = 1, n
374  i2 = min( j, izero )
375  DO 60 i = 1, i2
376  a( ioff+i ) = zero
377  60 CONTINUE
378  ioff = ioff + lda
379  70 CONTINUE
380  izero = 1
381  ELSE
382 *
383 * Set the last IZERO rows and columns to zero.
384 *
385  ioff = 0
386  DO 90 j = 1, n
387  i1 = max( j, izero )
388  DO 80 i = i1, n
389  a( ioff+i ) = zero
390  80 CONTINUE
391  ioff = ioff + lda
392  90 CONTINUE
393  END IF
394  END IF
395  ELSE
396  izero = 0
397  END IF
398 *
399 * End generate the test matrix A.
400 *
401 * Do for each value of NB in NBVAL
402 *
403  DO 150 inb = 1, nnb
404 *
405 * Set the optimal blocksize, which will be later
406 * returned by ILAENV.
407 *
408  nb = nbval( inb )
409  CALL xlaenv( 1, nb )
410 *
411 * Copy the test matrix A into matrix AFAC which
412 * will be factorized in place. This is needed to
413 * preserve the test matrix A for subsequent tests.
414 *
415  CALL dlacpy( uplo, n, n, a, lda, afac, lda )
416 *
417 * Compute the L*D*L**T or U*D*U**T factorization of the
418 * matrix. IWORK stores details of the interchanges and
419 * the block structure of D. AINV is a work array for
420 * block factorization, LWORK is the length of AINV.
421 *
422  srnamt = 'DSYTRF_AA'
423  lwork = max( 1, n*nb + n )
424  CALL dsytrf_aa( uplo, n, afac, lda, iwork, ainv,
425  $ lwork, info )
426 *
427 * Adjust the expected value of INFO to account for
428 * pivoting.
429 *
430 c IF( IZERO.GT.0 ) THEN
431 c J = 1
432 c K = IZERO
433 c 100 CONTINUE
434 c IF( J.EQ.K ) THEN
435 c K = IWORK( J )
436 c ELSE IF( IWORK( J ).EQ.K ) THEN
437 c K = J
438 c END IF
439 c IF( J.LT.K ) THEN
440 c J = J + 1
441 c GO TO 100
442 c END IF
443 c ELSE
444  k = 0
445 c END IF
446 *
447 * Check error code from DSYTRF and handle error.
448 *
449  IF( info.NE.k ) THEN
450  CALL alaerh( path, 'DSYTRF_AA', info, k, uplo,
451  $ n, n, -1, -1, nb, imat, nfail, nerrs,
452  $ nout )
453  END IF
454 *
455 *+ TEST 1
456 * Reconstruct matrix from factors and compute residual.
457 *
458  CALL dsyt01_aa( uplo, n, a, lda, afac, lda, iwork,
459  $ ainv, lda, rwork, result( 1 ) )
460  nt = 1
461 *
462 *
463 * Print information about the tests that did not pass
464 * the threshold.
465 *
466  DO 110 k = 1, nt
467  IF( result( k ).GE.thresh ) THEN
468  IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
469  $ CALL alahd( nout, path )
470  WRITE( nout, fmt = 9999 )uplo, n, nb, imat, k,
471  $ result( k )
472  nfail = nfail + 1
473  END IF
474  110 CONTINUE
475  nrun = nrun + nt
476 *
477 * Skip solver test if INFO is not 0.
478 *
479  IF( info.NE.0 ) THEN
480  GO TO 140
481  END IF
482 *
483 * Do for each value of NRHS in NSVAL.
484 *
485  DO 130 irhs = 1, nns
486  nrhs = nsval( irhs )
487 *
488 *+ TEST 2 (Using TRS)
489 * Solve and compute residual for A * X = B.
490 *
491 * Choose a set of NRHS random solution vectors
492 * stored in XACT and set up the right hand side B
493 *
494  srnamt = 'DLARHS'
495  CALL dlarhs( matpath, xtype, uplo, ' ', n, n,
496  $ kl, ku, nrhs, a, lda, xact, lda,
497  $ b, lda, iseed, info )
498  CALL dlacpy( 'Full', n, nrhs, b, lda, x, lda )
499 *
500  srnamt = 'DSYTRS_AA'
501  lwork = max( 1, 3*n-2 )
502  CALL dsytrs_aa( uplo, n, nrhs, afac, lda,
503  $ iwork, x, lda, work, lwork,
504  $ info )
505 *
506 * Check error code from DSYTRS and handle error.
507 *
508  IF( info.NE.0 ) THEN
509  IF( izero.EQ.0 ) THEN
510  CALL alaerh( path, 'DSYTRS_AA', info, 0,
511  $ uplo, n, n, -1, -1, nrhs, imat,
512  $ nfail, nerrs, nout )
513  END IF
514  ELSE
515  CALL dlacpy( 'Full', n, nrhs, b, lda, work, lda
516  $ )
517 *
518 * Compute the residual for the solution
519 *
520  CALL dpot02( uplo, n, nrhs, a, lda, x, lda,
521  $ work, lda, rwork, result( 2 ) )
522 *
523 *
524 * Print information about the tests that did not pass
525 * the threshold.
526 *
527  DO 120 k = 2, 2
528  IF( result( k ).GE.thresh ) THEN
529  IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
530  $ CALL alahd( nout, path )
531  WRITE( nout, fmt = 9998 )uplo, n, nrhs,
532  $ imat, k, result( k )
533  nfail = nfail + 1
534  END IF
535  120 CONTINUE
536  END IF
537  nrun = nrun + 1
538 *
539 * End do for each value of NRHS in NSVAL.
540 *
541  130 CONTINUE
542  140 CONTINUE
543  150 CONTINUE
544  160 CONTINUE
545  170 CONTINUE
546  180 CONTINUE
547 *
548 * Print a summary of the results.
549 *
550  CALL alasum( path, nout, nfail, nrun, nerrs )
551 *
552  9999 FORMAT( ' UPLO = ''', a1, ''', N =', i5, ', NB =', i4, ', type ',
553  $ i2, ', test ', i2, ', ratio =', g12.5 )
554  9998 FORMAT( ' UPLO = ''', a1, ''', N =', i5, ', NRHS=', i3, ', type ',
555  $ i2, ', test(', i2, ') =', g12.5 )
556  9995 FORMAT( ' Invalid input value: ', a4, '=', i6, '; must be <=',
557  $ i6 )
558  RETURN
559 *
560 * End of DCHKSY_AA
561 *
562  END
subroutine dlacpy(UPLO, M, N, A, LDA, B, LDB)
DLACPY copies all or part of one two-dimensional array to another.
Definition: dlacpy.f:103
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 dlarhs(PATH, XTYPE, UPLO, TRANS, M, N, KL, KU, NRHS, A, LDA, X, LDX, B, LDB, ISEED, INFO)
DLARHS
Definition: dlarhs.f:205
subroutine derrsy(PATH, NUNIT)
DERRSY
Definition: derrsy.f:55
subroutine dpot02(UPLO, N, NRHS, A, LDA, X, LDX, B, LDB, RWORK, RESID)
DPOT02
Definition: dpot02.f:127
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:170
subroutine dsyt01_aa(UPLO, N, A, LDA, AFAC, LDAFAC, IPIV, C, LDC, RWORK, RESID)
DSYT01
Definition: dsyt01_aa.f:124
subroutine dlatb4(PATH, IMAT, M, N, TYPE, KL, KU, ANORM, MODE, CNDNUM, DIST)
DLATB4
Definition: dlatb4.f:120
subroutine dlatms(M, N, DIST, ISEED, SYM, D, MODE, COND, DMAX, KL, KU, PACK, A, LDA, WORK, INFO)
DLATMS
Definition: dlatms.f:321
subroutine dsytrs_aa(UPLO, N, NRHS, A, LDA, IPIV, B, LDB, WORK, LWORK, INFO)
DSYTRS_AA
Definition: dsytrs_aa.f:131
subroutine dsytrf_aa(UPLO, N, A, LDA, IPIV, WORK, LWORK, INFO)
DSYTRF_AA
Definition: dsytrf_aa.f:132