LAPACK  3.10.1 LAPACK: Linear Algebra PACKage
zdrvsy_aa_2stage.f
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1 *> \brief \b ZDRVSY_AA_2STAGE
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 ZDRVSY_AA_2STAGE(
12 * DOTYPE, NN, NVAL, NRHS, THRESH, TSTERR, NMAX,
13 * A, AFAC, AINV, B, X, XACT, WORK, RWORK, IWORK,
14 * NOUT )
15 *
16 * .. Scalar Arguments ..
17 * LOGICAL TSTERR
18 * INTEGER NMAX, NN, NOUT, NRHS
19 * DOUBLE PRECISION THRESH
20 * ..
21 * .. Array Arguments ..
22 * LOGICAL DOTYPE( * )
23 * INTEGER IWORK( * ), NVAL( * )
24 * DOUBLE PRECISION RWORK( * )
25 * COMPLEX*16 A( * ), AFAC( * ), AINV( * ), B( * ),
26 * \$ WORK( * ), X( * ), XACT( * )
27 * ..
28 *
29 *
30 *> \par Purpose:
31 * =============
32 *>
33 *> \verbatim
34 *>
35 *> ZDRVSY_AA_2STAGE tests the driver routine ZSYSV_AA_2STAGE.
36 *> \endverbatim
37 *
38 * Arguments:
39 * ==========
40 *
41 *> \param[in] DOTYPE
42 *> \verbatim
43 *> DOTYPE is LOGICAL array, dimension (NTYPES)
44 *> The matrix types to be used for testing. Matrices of type j
45 *> (for 1 <= j <= NTYPES) are used for testing if DOTYPE(j) =
46 *> .TRUE.; if DOTYPE(j) = .FALSE., then type j is not used.
47 *> \endverbatim
48 *>
49 *> \param[in] NN
50 *> \verbatim
51 *> NN is INTEGER
52 *> The number of values of N contained in the vector NVAL.
53 *> \endverbatim
54 *>
55 *> \param[in] NVAL
56 *> \verbatim
57 *> NVAL is INTEGER array, dimension (NN)
58 *> The values of the matrix dimension N.
59 *> \endverbatim
60 *>
61 *> \param[in] NRHS
62 *> \verbatim
63 *> NRHS is INTEGER
64 *> The number of right hand side vectors to be generated for
65 *> each linear system.
66 *> \endverbatim
67 *>
68 *> \param[in] THRESH
69 *> \verbatim
70 *> THRESH is DOUBLE PRECISION
71 *> The threshold value for the test ratios. A result is
72 *> included in the output file if RESULT >= THRESH. To have
73 *> every test ratio printed, use THRESH = 0.
74 *> \endverbatim
75 *>
76 *> \param[in] TSTERR
77 *> \verbatim
78 *> TSTERR is LOGICAL
79 *> Flag that indicates whether error exits are to be tested.
80 *> \endverbatim
81 *>
82 *> \param[in] NMAX
83 *> \verbatim
84 *> NMAX is INTEGER
85 *> The maximum value permitted for N, used in dimensioning the
86 *> work arrays.
87 *> \endverbatim
88 *>
89 *> \param[out] A
90 *> \verbatim
91 *> A is COMPLEX*16 array, dimension (NMAX*NMAX)
92 *> \endverbatim
93 *>
94 *> \param[out] AFAC
95 *> \verbatim
96 *> AFAC is COMPLEX*16 array, dimension (NMAX*NMAX)
97 *> \endverbatim
98 *>
99 *> \param[out] AINV
100 *> \verbatim
101 *> AINV is COMPLEX*16 array, dimension (NMAX*NMAX)
102 *> \endverbatim
103 *>
104 *> \param[out] B
105 *> \verbatim
106 *> B is COMPLEX*16 array, dimension (NMAX*NRHS)
107 *> \endverbatim
108 *>
109 *> \param[out] X
110 *> \verbatim
111 *> X is COMPLEX*16 array, dimension (NMAX*NRHS)
112 *> \endverbatim
113 *>
114 *> \param[out] XACT
115 *> \verbatim
116 *> XACT is COMPLEX*16 array, dimension (NMAX*NRHS)
117 *> \endverbatim
118 *>
119 *> \param[out] WORK
120 *> \verbatim
121 *> WORK is COMPLEX*16 array, dimension (NMAX*max(2,NRHS))
122 *> \endverbatim
123 *>
124 *> \param[out] RWORK
125 *> \verbatim
126 *> RWORK is COMPLEX*16 array, dimension (NMAX+2*NRHS)
127 *> \endverbatim
128 *>
129 *> \param[out] IWORK
130 *> \verbatim
131 *> IWORK is INTEGER array, dimension (NMAX)
132 *> \endverbatim
133 *>
134 *> \param[in] NOUT
135 *> \verbatim
136 *> NOUT is INTEGER
137 *> The unit number for output.
138 *> \endverbatim
139 *
140 * Authors:
141 * ========
142 *
143 *> \author Univ. of Tennessee
144 *> \author Univ. of California Berkeley
145 *> \author Univ. of Colorado Denver
146 *> \author NAG Ltd.
147 *
148 *> \ingroup complex16_lin
149 *
150 * =====================================================================
151  SUBROUTINE zdrvsy_aa_2stage(
152  \$ DOTYPE, NN, NVAL, NRHS, THRESH, TSTERR,
153  \$ NMAX, A, AFAC, AINV, B, X, XACT, WORK,
154  \$ RWORK, IWORK, NOUT )
155 *
156 * -- LAPACK test routine --
157 * -- LAPACK is a software package provided by Univ. of Tennessee, --
158 * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
159 *
160 * .. Scalar Arguments ..
161  LOGICAL TSTERR
162  INTEGER NMAX, NN, NOUT, NRHS
163  DOUBLE PRECISION THRESH
164 * ..
165 * .. Array Arguments ..
166  LOGICAL DOTYPE( * )
167  INTEGER IWORK( * ), NVAL( * )
168  DOUBLE PRECISION RWORK( * )
169  COMPLEX*16 A( * ), AFAC( * ), AINV( * ), B( * ),
170  \$ work( * ), x( * ), xact( * )
171 * ..
172 *
173 * =====================================================================
174 *
175 * .. Parameters ..
176  DOUBLE PRECISION ZERO
177  PARAMETER ( ZERO = 0.0d+0 )
178  COMPLEX*16 CZERO
179  parameter( czero = ( 0.0d+0, 0.0d+0 ) )
180  INTEGER NTYPES, NTESTS
181  parameter( ntypes = 10, ntests = 3 )
182  INTEGER NFACT
183  parameter( nfact = 2 )
184 * ..
185 * .. Local Scalars ..
186  LOGICAL ZEROT
187  CHARACTER DIST, FACT, TYPE, UPLO, XTYPE
188  CHARACTER*3 MATPATH, PATH
189  INTEGER I, I1, I2, IFACT, IMAT, IN, INFO, IOFF, IUPLO,
190  \$ izero, j, k, kl, ku, lda, lwork, mode, n,
191  \$ nb, nbmin, nerrs, nfail, nimat, nrun, nt
192  DOUBLE PRECISION ANORM, CNDNUM
193 * ..
194 * .. Local Arrays ..
195  CHARACTER FACTS( NFACT ), UPLOS( 2 )
196  INTEGER ISEED( 4 ), ISEEDY( 4 )
197  DOUBLE PRECISION RESULT( NTESTS )
198 * ..
199 * .. External Functions ..
200  DOUBLE PRECISION DGET06, ZLANSY
201  EXTERNAL DGET06, ZLANSY
202 * ..
203 * .. External Subroutines ..
204  EXTERNAL aladhd, alaerh, alasvm, xlaenv, zerrvx,
208 * ..
209 * .. Scalars in Common ..
210  LOGICAL LERR, OK
211  CHARACTER*32 SRNAMT
212  INTEGER INFOT, NUNIT
213 * ..
214 * .. Common blocks ..
215  COMMON / infoc / infot, nunit, ok, lerr
216  COMMON / srnamc / srnamt
217 * ..
218 * .. Intrinsic Functions ..
219  INTRINSIC cmplx, max, min
220 * ..
221 * .. Data statements ..
222  DATA iseedy / 1988, 1989, 1990, 1991 /
223  DATA uplos / 'U', 'L' / , facts / 'F', 'N' /
224 * ..
225 * .. Executable Statements ..
226 *
227 * Initialize constants and the random number seed.
228 *
229 * Test path
230 *
231  path( 1: 1 ) = 'Zomplex precision'
232  path( 2: 3 ) = 'H2'
233 *
234 * Path to generate matrices
235 *
236  matpath( 1: 1 ) = 'Zomplex precision'
237  matpath( 2: 3 ) = 'SY'
238 *
239  nrun = 0
240  nfail = 0
241  nerrs = 0
242  DO 10 i = 1, 4
243  iseed( i ) = iseedy( i )
244  10 CONTINUE
245 *
246 * Test the error exits
247 *
248  IF( tsterr )
249  \$ CALL zerrvx( path, nout )
250  infot = 0
251 *
252 * Set the block size and minimum block size for testing.
253 *
254  nb = 1
255  nbmin = 2
256  CALL xlaenv( 1, nb )
257  CALL xlaenv( 2, nbmin )
258 *
259 * Do for each value of N in NVAL
260 *
261  DO 180 in = 1, nn
262  n = nval( in )
263  lda = max( n, 1 )
264  xtype = 'N'
265  nimat = ntypes
266  IF( n.LE.0 )
267  \$ nimat = 1
268 *
269  DO 170 imat = 1, nimat
270 *
271 * Do the tests only if DOTYPE( IMAT ) is true.
272 *
273  IF( .NOT.dotype( imat ) )
274  \$ GO TO 170
275 *
276 * Skip types 3, 4, 5, or 6 if the matrix size is too small.
277 *
278  zerot = imat.GE.3 .AND. imat.LE.6
279  IF( zerot .AND. n.LT.imat-2 )
280  \$ GO TO 170
281 *
282 * Do first for UPLO = 'U', then for UPLO = 'L'
283 *
284  DO 160 iuplo = 1, 2
285  uplo = uplos( iuplo )
286 *
287 * Begin generate the test matrix A.
288 *
289 * Set up parameters with ZLATB4 for the matrix generator
290 * based on the type of matrix to be generated.
291 *
292  CALL zlatb4( matpath, imat, n, n, TYPE, kl, ku, anorm,
293  \$ mode, cndnum, dist )
294 *
295 * Generate a matrix with ZLATMS.
296 *
297  srnamt = 'ZLATMS'
298  CALL zlatms( n, n, dist, iseed, TYPE, rwork, mode,
299  \$ cndnum, anorm, kl, ku, uplo, a, lda,
300  \$ work, info )
301 *
302 * Check error code from ZLATMS and handle error.
303 *
304  IF( info.NE.0 ) THEN
305  CALL alaerh( path, 'ZLATMS', info, 0, uplo, n, n,
306  \$ -1, -1, -1, imat, nfail, nerrs, nout )
307  GO TO 160
308  END IF
309 *
310 * For types 3-6, zero one or more rows and columns of
311 * the matrix to test that INFO is returned correctly.
312 *
313  IF( zerot ) THEN
314  IF( imat.EQ.3 ) THEN
315  izero = 1
316  ELSE IF( imat.EQ.4 ) THEN
317  izero = n
318  ELSE
319  izero = n / 2 + 1
320  END IF
321 *
322  IF( imat.LT.6 ) THEN
323 *
324 * Set row and column IZERO to zero.
325 *
326  IF( iuplo.EQ.1 ) THEN
327  ioff = ( izero-1 )*lda
328  DO 20 i = 1, izero - 1
329  a( ioff+i ) = czero
330  20 CONTINUE
331  ioff = ioff + izero
332  DO 30 i = izero, n
333  a( ioff ) = czero
334  ioff = ioff + lda
335  30 CONTINUE
336  ELSE
337  ioff = izero
338  DO 40 i = 1, izero - 1
339  a( ioff ) = czero
340  ioff = ioff + lda
341  40 CONTINUE
342  ioff = ioff - izero
343  DO 50 i = izero, n
344  a( ioff+i ) = czero
345  50 CONTINUE
346  END IF
347  ELSE
348  ioff = 0
349  IF( iuplo.EQ.1 ) THEN
350 *
351 * Set the first IZERO rows and columns to zero.
352 *
353  DO 70 j = 1, n
354  i2 = min( j, izero )
355  DO 60 i = 1, i2
356  a( ioff+i ) = czero
357  60 CONTINUE
358  ioff = ioff + lda
359  70 CONTINUE
360  izero = 1
361  ELSE
362 *
363 * Set the first IZERO rows and columns to zero.
364 *
365  ioff = 0
366  DO 90 j = 1, n
367  i1 = max( j, izero )
368  DO 80 i = i1, n
369  a( ioff+i ) = czero
370  80 CONTINUE
371  ioff = ioff + lda
372  90 CONTINUE
373  END IF
374  END IF
375  ELSE
376  izero = 0
377  END IF
378 *
379 * End generate the test matrix A.
380 *
381 *
382  DO 150 ifact = 1, nfact
383 *
384 * Do first for FACT = 'F', then for other values.
385 *
386  fact = facts( ifact )
387 *
388 * Form an exact solution and set the right hand side.
389 *
390  srnamt = 'ZLARHS'
391  CALL zlarhs( matpath, xtype, uplo, ' ', n, n, kl, ku,
392  \$ nrhs, a, lda, xact, lda, b, lda, iseed,
393  \$ info )
394  xtype = 'C'
395 *
396 * --- Test ZSYSV_AA_2STAGE ---
397 *
398  IF( ifact.EQ.2 ) THEN
399  CALL zlacpy( uplo, n, n, a, lda, afac, lda )
400  CALL zlacpy( 'Full', n, nrhs, b, lda, x, lda )
401 *
402 * Factor the matrix and solve the system using ZSYSV_AA.
403 *
404  srnamt = 'ZSYSV_AA_2STAGE '
405  lwork = min(n*nb, 3*nmax*nmax)
406  CALL zsysv_aa_2stage( uplo, n, nrhs, afac, lda,
407  \$ ainv, (3*nb+1)*n,
408  \$ iwork, iwork( 1+n ),
409  \$ x, lda, work, lwork, info )
410 *
411 * Adjust the expected value of INFO to account for
412 * pivoting.
413 *
414  IF( izero.GT.0 ) THEN
415  j = 1
416  k = izero
417  100 CONTINUE
418  IF( j.EQ.k ) THEN
419  k = iwork( j )
420  ELSE IF( iwork( j ).EQ.k ) THEN
421  k = j
422  END IF
423  IF( j.LT.k ) THEN
424  j = j + 1
425  GO TO 100
426  END IF
427  ELSE
428  k = 0
429  END IF
430 *
431 * Check error code from ZSYSV_AA_2STAGE .
432 *
433  IF( info.NE.k ) THEN
434  CALL alaerh( path, 'ZSYSV_AA_2STAGE', info, k,
435  \$ uplo, n, n, -1, -1, nrhs,
436  \$ imat, nfail, nerrs, nout )
437  GO TO 120
438  ELSE IF( info.NE.0 ) THEN
439  GO TO 120
440  END IF
441 *
442 * Compute residual of the computed solution.
443 *
444  CALL zlacpy( 'Full', n, nrhs, b, lda, work, lda )
445  CALL zsyt02( uplo, n, nrhs, a, lda, x, lda, work,
446  \$ lda, rwork, result( 1 ) )
447 *
448 * Reconstruct matrix from factors and compute
449 * residual.
450 *
451 c CALL ZSY01_AA( UPLO, N, A, LDA, AFAC, LDA,
452 c \$ IWORK, AINV, LDA, RWORK,
453 c \$ RESULT( 2 ) )
454 c NT = 2
455  nt = 1
456 *
457 * Print information about the tests that did not pass
458 * the threshold.
459 *
460  DO 110 k = 1, nt
461  IF( result( k ).GE.thresh ) THEN
462  IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
463  \$ CALL aladhd( nout, path )
464  WRITE( nout, fmt = 9999 )'ZSYSV_AA_2STAGE ',
465  \$ uplo, n, imat, k, result( k )
466  nfail = nfail + 1
467  END IF
468  110 CONTINUE
469  nrun = nrun + nt
470  120 CONTINUE
471  END IF
472 *
473  150 CONTINUE
474 *
475  160 CONTINUE
476  170 CONTINUE
477  180 CONTINUE
478 *
479 * Print a summary of the results.
480 *
481  CALL alasvm( path, nout, nfail, nrun, nerrs )
482 *
483  9999 FORMAT( 1x, a, ', UPLO=''', a1, ''', N =', i5, ', type ', i2,
484  \$ ', test ', i2, ', ratio =', g12.5 )
485  RETURN
486 *
487 * End of ZDRVSY_AA_2STAGE
488 *
489  END
subroutine alasvm(TYPE, NOUT, NFAIL, NRUN, NERRS)
ALASVM
Definition: alasvm.f:73
subroutine xlaenv(ISPEC, NVALUE)
XLAENV
Definition: xlaenv.f:81
subroutine alaerh(PATH, SUBNAM, INFO, INFOE, OPTS, M, N, KL, KU, N5, IMAT, NFAIL, NERRS, NOUT)
ALAERH
Definition: alaerh.f:147
subroutine zlarhs(PATH, XTYPE, UPLO, TRANS, M, N, KL, KU, NRHS, A, LDA, X, LDX, B, LDB, ISEED, INFO)
ZLARHS
Definition: zlarhs.f:208
subroutine zsyt02(UPLO, N, NRHS, A, LDA, X, LDX, B, LDB, RWORK, RESID)
ZSYT02
Definition: zsyt02.f:127
subroutine zsyt01_aa(UPLO, N, A, LDA, AFAC, LDAFAC, IPIV, C, LDC, RWORK, RESID)
ZSYT01
Definition: zsyt01_aa.f:124
subroutine zerrvx(PATH, NUNIT)
ZERRVX
Definition: zerrvx.f:55
subroutine zget04(N, NRHS, X, LDX, XACT, LDXACT, RCOND, RESID)
ZGET04
Definition: zget04.f:102
subroutine zdrvsy_aa_2stage(DOTYPE, NN, NVAL, NRHS, THRESH, TSTERR, NMAX, A, AFAC, AINV, B, X, XACT, WORK, RWORK, IWORK, NOUT)
ZDRVSY_AA_2STAGE
subroutine zlatb4(PATH, IMAT, M, N, TYPE, KL, KU, ANORM, MODE, CNDNUM, DIST)
ZLATB4
Definition: zlatb4.f:121
subroutine zlatms(M, N, DIST, ISEED, SYM, D, MODE, COND, DMAX, KL, KU, PACK, A, LDA, WORK, INFO)
ZLATMS
Definition: zlatms.f:332
subroutine zlacpy(UPLO, M, N, A, LDA, B, LDB)
ZLACPY copies all or part of one two-dimensional array to another.
Definition: zlacpy.f:103
subroutine zsytrf_aa_2stage(UPLO, N, A, LDA, TB, LTB, IPIV, IPIV2, WORK, LWORK, INFO)
ZSYTRF_AA_2STAGE
subroutine zsysv_aa_2stage(UPLO, N, NRHS, A, LDA, TB, LTB, IPIV, IPIV2, B, LDB, WORK, LWORK, INFO)
ZSYSV_AA_2STAGE computes the solution to system of linear equations A * X = B for SY matrices