LAPACK  3.7.0
LAPACK: Linear Algebra PACKage
zdrvhe_aa.f
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1 *> \brief \b ZDRVHE_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 ZDRVHE_AA( DOTYPE, NN, NVAL, NRHS, THRESH, TSTERR, NMAX,
12 * A, AFAC, AINV, B, X, XACT, WORK, RWORK, IWORK,
13 * NOUT )
14 *
15 * .. Scalar Arguments ..
16 * LOGICAL TSTERR
17 * INTEGER NMAX, NN, NOUT, NRHS
18 * DOUBLE PRECISION THRESH
19 * ..
20 * .. Array Arguments ..
21 * LOGICAL DOTYPE( * )
22 * INTEGER IWORK( * ), NVAL( * )
23 * DOUBLE PRECISION RWORK( * )
24 * COMPLEX*16 A( * ), AFAC( * ), AINV( * ), B( * ),
25 * $ WORK( * ), X( * ), XACT( * )
26 * ..
27 *
28 *
29 *> \par Purpose:
30 * =============
31 *>
32 *> \verbatim
33 *>
34 *> ZDRVHE_AA tests the driver routine ZHESV_AA.
35 *> \endverbatim
36 *
37 * Arguments:
38 * ==========
39 *
40 *> \param[in] DOTYPE
41 *> \verbatim
42 *> DOTYPE is LOGICAL array, dimension (NTYPES)
43 *> The matrix types to be used for testing. Matrices of type j
44 *> (for 1 <= j <= NTYPES) are used for testing if DOTYPE(j) =
45 *> .TRUE.; if DOTYPE(j) = .FALSE., then type j is not used.
46 *> \endverbatim
47 *>
48 *> \param[in] NN
49 *> \verbatim
50 *> NN is INTEGER
51 *> The number of values of N contained in the vector NVAL.
52 *> \endverbatim
53 *>
54 *> \param[in] NVAL
55 *> \verbatim
56 *> NVAL is INTEGER array, dimension (NN)
57 *> The values of the matrix dimension N.
58 *> \endverbatim
59 *>
60 *> \param[in] NRHS
61 *> \verbatim
62 *> NRHS is INTEGER
63 *> The number of right hand side vectors to be generated for
64 *> each linear system.
65 *> \endverbatim
66 *>
67 *> \param[in] THRESH
68 *> \verbatim
69 *> THRESH is DOUBLE PRECISION
70 *> The threshold value for the test ratios. A result is
71 *> included in the output file if RESULT >= THRESH. To have
72 *> every test ratio printed, use THRESH = 0.
73 *> \endverbatim
74 *>
75 *> \param[in] TSTERR
76 *> \verbatim
77 *> TSTERR is LOGICAL
78 *> Flag that indicates whether error exits are to be tested.
79 *> \endverbatim
80 *>
81 *> \param[in] NMAX
82 *> \verbatim
83 *> NMAX is INTEGER
84 *> The maximum value permitted for N, used in dimensioning the
85 *> work arrays.
86 *> \endverbatim
87 *>
88 *> \param[out] A
89 *> \verbatim
90 *> A is COMPLEX*16 array, dimension (NMAX*NMAX)
91 *> \endverbatim
92 *>
93 *> \param[out] AFAC
94 *> \verbatim
95 *> AFAC is COMPLEX*16 array, dimension (NMAX*NMAX)
96 *> \endverbatim
97 *>
98 *> \param[out] AINV
99 *> \verbatim
100 *> AINV is COMPLEX*16 array, dimension (NMAX*NMAX)
101 *> \endverbatim
102 *>
103 *> \param[out] B
104 *> \verbatim
105 *> B is COMPLEX*16 array, dimension (NMAX*NRHS)
106 *> \endverbatim
107 *>
108 *> \param[out] X
109 *> \verbatim
110 *> X is COMPLEX*16 array, dimension (NMAX*NRHS)
111 *> \endverbatim
112 *>
113 *> \param[out] XACT
114 *> \verbatim
115 *> XACT is COMPLEX*16 array, dimension (NMAX*NRHS)
116 *> \endverbatim
117 *>
118 *> \param[out] WORK
119 *> \verbatim
120 *> WORK is COMPLEX*16 array, dimension (NMAX*max(2,NRHS))
121 *> \endverbatim
122 *>
123 *> \param[out] RWORK
124 *> \verbatim
125 *> RWORK is DOUBLE PRECISION array, dimension (NMAX+2*NRHS)
126 *> \endverbatim
127 *>
128 *> \param[out] IWORK
129 *> \verbatim
130 *> IWORK is INTEGER array, dimension (NMAX)
131 *> \endverbatim
132 *>
133 *> \param[in] NOUT
134 *> \verbatim
135 *> NOUT is INTEGER
136 *> The unit number for output.
137 *> \endverbatim
138 *
139 * Authors:
140 * ========
141 *
142 *> \author Univ. of Tennessee
143 *> \author Univ. of California Berkeley
144 *> \author Univ. of Colorado Denver
145 *> \author NAG Ltd.
146 *
147 *> \date December 2016
148 *
149 *> \ingroup complex16_lin
150 *
151 * =====================================================================
152  SUBROUTINE zdrvhe_aa( DOTYPE, NN, NVAL, NRHS, THRESH, TSTERR,
153  $ nmax, a, afac, ainv, b, x, xact, work,
154  $ rwork, iwork, nout )
155 *
156 * -- LAPACK test routine (version 3.7.0) --
157 * -- LAPACK is a software package provided by Univ. of Tennessee, --
158 * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
159 * December 2016
160 *
161 * .. Scalar Arguments ..
162  LOGICAL TSTERR
163  INTEGER NMAX, NN, NOUT, NRHS
164  DOUBLE PRECISION THRESH
165 * ..
166 * .. Array Arguments ..
167  LOGICAL DOTYPE( * )
168  INTEGER IWORK( * ), NVAL( * )
169  DOUBLE PRECISION RWORK( * )
170  COMPLEX*16 A( * ), AFAC( * ), AINV( * ), B( * ),
171  $ work( * ), x( * ), xact( * )
172 * ..
173 *
174 * =====================================================================
175 *
176 * .. Parameters ..
177  DOUBLE PRECISION ONE, ZERO
178  parameter ( one = 1.0d+0, zero = 0.0d+0 )
179  INTEGER NTYPES, NTESTS
180  parameter ( ntypes = 10, ntests = 3 )
181  INTEGER NFACT
182  parameter ( nfact = 2 )
183 * ..
184 * .. Local Scalars ..
185  LOGICAL ZEROT
186  CHARACTER DIST, FACT, TYPE, UPLO, XTYPE
187  CHARACTER*3 MATPATH, PATH
188  INTEGER I, I1, I2, IFACT, IMAT, IN, INFO, IOFF, IUPLO,
189  $ izero, j, k, kl, ku, lda, lwork, mode, n,
190  $ nb, nbmin, nerrs, nfail, nimat, nrun, nt
191  DOUBLE PRECISION ANORM, CNDNUM
192 * ..
193 * .. Local Arrays ..
194  CHARACTER FACTS( nfact ), UPLOS( 2 )
195  INTEGER ISEED( 4 ), ISEEDY( 4 )
196  DOUBLE PRECISION RESULT( ntests )
197 * ..
198 * .. External Functions ..
199  DOUBLE PRECISION DGET06, ZLANHE
200  EXTERNAL dget06, zlanhe
201 * ..
202 * .. External Subroutines ..
203  EXTERNAL aladhd, alaerh, alasvm, xlaenv, zerrvx, zget04,
204  $ zhesv_aa, zhet01_aa, zhetrf_aa,
205  $ zhetri2, zlacpy, zlaipd, zlarhs, zlatb4,
206  $ zlatms, zpot02
207 * ..
208 * .. Scalars in Common ..
209  LOGICAL LERR, OK
210  CHARACTER*32 SRNAMT
211  INTEGER INFOT, NUNIT
212 * ..
213 * .. Common blocks ..
214  COMMON / infoc / infot, nunit, ok, lerr
215  COMMON / srnamc / srnamt
216 * ..
217 * .. Intrinsic Functions ..
218  INTRINSIC dcmplx, max, min
219 * ..
220 * .. Data statements ..
221  DATA iseedy / 1988, 1989, 1990, 1991 /
222  DATA uplos / 'U', 'L' / , facts / 'F', 'N' /
223 * ..
224 * .. Executable Statements ..
225 *
226 * Initialize constants and the random number seed.
227 *
228 * Test path
229 *
230  path( 1: 1 ) = 'Zomplex precision'
231  path( 2: 3 ) = 'HA'
232 *
233 * Path to generate matrices
234 *
235  matpath( 1: 1 ) = 'Zomplex precision'
236  matpath( 2: 3 ) = 'HE'
237 *
238  nrun = 0
239  nfail = 0
240  nerrs = 0
241  DO 10 i = 1, 4
242  iseed( i ) = iseedy( i )
243  10 CONTINUE
244  lwork = max( 2*nmax, nmax*nrhs )
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 and generate a test matrix
290 * with ZLATMS.
291 *
292  CALL zlatb4( matpath, imat, n, n, TYPE, KL, KU, ANORM,
293  $ mode, cndnum, dist )
294 *
295  srnamt = 'ZLATMS'
296  CALL zlatms( n, n, dist, iseed, TYPE, RWORK, MODE,
297  $ cndnum, anorm, kl, ku, uplo, a, lda, work,
298  $ info )
299 *
300 * Check error code from ZLATMS.
301 *
302  IF( info.NE.0 ) THEN
303  CALL alaerh( path, 'ZLATMS', info, 0, uplo, n, n, -1,
304  $ -1, -1, imat, nfail, nerrs, nout )
305  GO TO 160
306  END IF
307 *
308 * For types 3-6, zero one or more rows and columns of the
309 * matrix to test that INFO is returned correctly.
310 *
311  IF( zerot ) THEN
312  IF( imat.EQ.3 ) THEN
313  izero = 1
314  ELSE IF( imat.EQ.4 ) THEN
315  izero = n
316  ELSE
317  izero = n / 2 + 1
318  END IF
319 *
320  IF( imat.LT.6 ) THEN
321 *
322 * Set row and column IZERO to zero.
323 *
324  IF( iuplo.EQ.1 ) THEN
325  ioff = ( izero-1 )*lda
326  DO 20 i = 1, izero - 1
327  a( ioff+i ) = zero
328  20 CONTINUE
329  ioff = ioff + izero
330  DO 30 i = izero, n
331  a( ioff ) = zero
332  ioff = ioff + lda
333  30 CONTINUE
334  ELSE
335  ioff = izero
336  DO 40 i = 1, izero - 1
337  a( ioff ) = zero
338  ioff = ioff + lda
339  40 CONTINUE
340  ioff = ioff - izero
341  DO 50 i = izero, n
342  a( ioff+i ) = zero
343  50 CONTINUE
344  END IF
345  ELSE
346  ioff = 0
347  IF( iuplo.EQ.1 ) THEN
348 *
349 * Set the first IZERO rows and columns to zero.
350 *
351  DO 70 j = 1, n
352  i2 = min( j, izero )
353  DO 60 i = 1, i2
354  a( ioff+i ) = zero
355  60 CONTINUE
356  ioff = ioff + lda
357  70 CONTINUE
358  izero = 1
359  ELSE
360 *
361 * Set the last IZERO rows and columns to zero.
362 *
363  DO 90 j = 1, n
364  i1 = max( j, izero )
365  DO 80 i = i1, n
366  a( ioff+i ) = zero
367  80 CONTINUE
368  ioff = ioff + lda
369  90 CONTINUE
370  END IF
371  END IF
372  ELSE
373  izero = 0
374  END IF
375 *
376 * Set the imaginary part of the diagonals.
377 *
378  CALL zlaipd( n, a, lda+1, 0 )
379 *
380  DO 150 ifact = 1, nfact
381 *
382 * Do first for FACT = 'F', then for other values.
383 *
384  fact = facts( ifact )
385 *
386 * Form an exact solution and set the right hand side.
387 *
388  srnamt = 'ZLARHS'
389  CALL zlarhs( matpath, xtype, uplo, ' ', n, n, kl, ku,
390  $ nrhs, a, lda, xact, lda, b, lda, iseed,
391  $ info )
392  xtype = 'C'
393 *
394 * --- Test ZHESV_AA ---
395 *
396  IF( ifact.EQ.2 ) THEN
397  CALL zlacpy( uplo, n, n, a, lda, afac, lda )
398  CALL zlacpy( 'Full', n, nrhs, b, lda, x, lda )
399 *
400 * Factor the matrix and solve the system using ZHESV.
401 *
402  srnamt = 'ZHESV_AA '
403  CALL zhesv_aa( uplo, n, nrhs, afac, lda, iwork,
404  $ x, lda, work, lwork, info )
405 *
406 * Adjust the expected value of INFO to account for
407 * pivoting.
408 *
409  IF( izero.GT.0 ) THEN
410  j = 1
411  k = izero
412  100 CONTINUE
413  IF( j.EQ.k ) THEN
414  k = iwork( j )
415  ELSE IF( iwork( j ).EQ.k ) THEN
416  k = j
417  END IF
418  IF( j.LT.k ) THEN
419  j = j + 1
420  GO TO 100
421  END IF
422  ELSE
423  k = 0
424  END IF
425 *
426 * Check error code from ZHESV .
427 *
428  IF( info.NE.k ) THEN
429  CALL alaerh( path, 'ZHESV_AA', info, k, uplo, n,
430  $ n, -1, -1, nrhs, imat, nfail,
431  $ nerrs, nout )
432  GO TO 120
433  ELSE IF( info.NE.0 ) THEN
434  GO TO 120
435  END IF
436 *
437 * Reconstruct matrix from factors and compute
438 * residual.
439 *
440  CALL zhet01_aa( uplo, n, a, lda, afac, lda,
441  $ iwork, ainv, lda, rwork,
442  $ result( 1 ) )
443 *
444 * Compute residual of the computed solution.
445 *
446  CALL zlacpy( 'Full', n, nrhs, b, lda, work, lda )
447  CALL zpot02( uplo, n, nrhs, a, lda, x, lda, work,
448  $ lda, rwork, result( 2 ) )
449  nt = 2
450 *
451 * Print information about the tests that did not pass
452 * the threshold.
453 *
454  DO 110 k = 1, nt
455  IF( result( k ).GE.thresh ) THEN
456  IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
457  $ CALL aladhd( nout, path )
458  WRITE( nout, fmt = 9999 )'ZHESV_AA', uplo, n,
459  $ imat, k, result( k )
460  nfail = nfail + 1
461  END IF
462  110 CONTINUE
463  nrun = nrun + nt
464  120 CONTINUE
465  END IF
466 *
467  150 CONTINUE
468 *
469  160 CONTINUE
470  170 CONTINUE
471  180 CONTINUE
472 *
473 * Print a summary of the results.
474 *
475  CALL alasvm( path, nout, nfail, nrun, nerrs )
476 *
477  9999 FORMAT( 1x, a, ', UPLO=''', a1, ''', N =', i5, ', type ', i2,
478  $ ', test ', i2, ', ratio =', g12.5 )
479  RETURN
480 *
481 * End of ZDRVHE_AA
482 *
483  END
alasvm
subroutine alasvm(TYPE, NOUT, NFAIL, NRUN, NERRS)
ALASVM
Definition: alasvm.f:75
zhetri2
subroutine zhetri2(UPLO, N, A, LDA, IPIV, WORK, LWORK, INFO)
ZHETRI2
Definition: zhetri2.f:129
alaerh
subroutine alaerh(PATH, SUBNAM, INFO, INFOE, OPTS, M, N, KL, KU, N5, IMAT, NFAIL, NERRS, NOUT)
ALAERH
Definition: alaerh.f:149
zget04
subroutine zget04(N, NRHS, X, LDX, XACT, LDXACT, RCOND, RESID)
ZGET04
Definition: zget04.f:104
zpot02
subroutine zpot02(UPLO, N, NRHS, A, LDA, X, LDX, B, LDB, RWORK, RESID)
ZPOT02
Definition: zpot02.f:129
zlarhs
subroutine zlarhs(PATH, XTYPE, UPLO, TRANS, M, N, KL, KU, NRHS, A, LDA, X, LDX, B, LDB, ISEED, INFO)
ZLARHS
Definition: zlarhs.f:211
zlacpy
subroutine zlacpy(UPLO, M, N, A, LDA, B, LDB)
ZLACPY copies all or part of one two-dimensional array to another.
Definition: zlacpy.f:105
xlaenv
subroutine xlaenv(ISPEC, NVALUE)
XLAENV
Definition: xlaenv.f:83
zlatb4
subroutine zlatb4(PATH, IMAT, M, N, TYPE, KL, KU, ANORM, MODE, CNDNUM, DIST)
ZLATB4
Definition: zlatb4.f:123
zlaipd
subroutine zlaipd(N, A, INDA, VINDA)
ZLAIPD
Definition: zlaipd.f:85
aladhd
subroutine aladhd(IOUNIT, PATH)
ALADHD
Definition: aladhd.f:92
zhesv_aa
subroutine zhesv_aa(UPLO, N, NRHS, A, LDA, IPIV, B, LDB, WORK, LWORK, INFO)
ZHESV_AA computes the solution to system of linear equations A * X = B for HE matrices ...
Definition: zhesv_aa.f:166
zerrvx
subroutine zerrvx(PATH, NUNIT)
ZERRVX
Definition: zerrvx.f:57
zdrvhe_aa
subroutine zdrvhe_aa(DOTYPE, NN, NVAL, NRHS, THRESH, TSTERR, NMAX, A, AFAC, AINV, B, X, XACT, WORK, RWORK, IWORK, NOUT)
ZDRVHE_AA
Definition: zdrvhe_aa.f:155
zhetrf_aa
subroutine zhetrf_aa(UPLO, N, A, LDA, IPIV, WORK, LWORK, INFO)
ZHETRF_AA
Definition: zhetrf_aa.f:138
zlatms
subroutine zlatms(M, N, DIST, ISEED, SYM, D, MODE, COND, DMAX, KL, KU, PACK, A, LDA, WORK, INFO)
ZLATMS
Definition: zlatms.f:334
zhet01_aa
subroutine zhet01_aa(UPLO, N, A, LDA, AFAC, LDAFAC, IPIV, C, LDC, RWORK, RESID)
ZHET01_AA
Definition: zhet01_aa.f:127