LAPACK  3.7.0
LAPACK: Linear Algebra PACKage
cdrvhe_aa.f
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1 *> \brief \b CDRVHE_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 CDRVHE_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 * REAL THRESH
19 * ..
20 * .. Array Arguments ..
21 * LOGICAL DOTYPE( * )
22 * INTEGER IWORK( * ), NVAL( * )
23 * REAL RWORK( * )
24 * COMPLEX A( * ), AFAC( * ), AINV( * ), B( * ),
25 * $ WORK( * ), X( * ), XACT( * )
26 * ..
27 *
28 *
29 *> \par Purpose:
30 * =============
31 *>
32 *> \verbatim
33 *>
34 *> CDRVHE_AA tests the driver routine CHESV_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 REAL
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 array, dimension (NMAX*NMAX)
91 *> \endverbatim
92 *>
93 *> \param[out] AFAC
94 *> \verbatim
95 *> AFAC is COMPLEX array, dimension (NMAX*NMAX)
96 *> \endverbatim
97 *>
98 *> \param[out] AINV
99 *> \verbatim
100 *> AINV is COMPLEX array, dimension (NMAX*NMAX)
101 *> \endverbatim
102 *>
103 *> \param[out] B
104 *> \verbatim
105 *> B is COMPLEX array, dimension (NMAX*NRHS)
106 *> \endverbatim
107 *>
108 *> \param[out] X
109 *> \verbatim
110 *> X is COMPLEX array, dimension (NMAX*NRHS)
111 *> \endverbatim
112 *>
113 *> \param[out] XACT
114 *> \verbatim
115 *> XACT is COMPLEX array, dimension (NMAX*NRHS)
116 *> \endverbatim
117 *>
118 *> \param[out] WORK
119 *> \verbatim
120 *> WORK is COMPLEX array, dimension (NMAX*max(2,NRHS))
121 *> \endverbatim
122 *>
123 *> \param[out] RWORK
124 *> \verbatim
125 *> RWORK is REAL 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 complex_lin
150 *
151 * =====================================================================
152  SUBROUTINE cdrvhe_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  REAL THRESH
165 * ..
166 * .. Array Arguments ..
167  LOGICAL DOTYPE( * )
168  INTEGER IWORK( * ), NVAL( * )
169  REAL RWORK( * )
170  COMPLEX A( * ), AFAC( * ), AINV( * ), B( * ),
171  $ work( * ), x( * ), xact( * )
172 * ..
173 *
174 * =====================================================================
175 *
176 * .. Parameters ..
177  REAL ONE, ZERO
178  parameter ( one = 1.0e+0, zero = 0.0e+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  REAL ANORM, CNDNUM
192 * ..
193 * .. Local Arrays ..
194  CHARACTER FACTS( nfact ), UPLOS( 2 )
195  INTEGER ISEED( 4 ), ISEEDY( 4 )
196  REAL RESULT( ntests )
197 * ..
198 * .. External Functions ..
199  REAL CLANHE, SGET06
200  EXTERNAL clanhe, sget06
201 * ..
202 * .. External Subroutines ..
203  EXTERNAL aladhd, alaerh, alasvm, xlaenv, cerrvx,
204  $ cget04, clacpy, clarhs, clatb4, clatms,
205  $ chesv_aa, chet01_aa, cpot02,
206  $ chetrf_aa
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 cmplx, 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 ) = 'Complex precision'
231  path( 2: 3 ) = 'HA'
232 *
233 * Path to generate matrices
234 *
235  matpath( 1: 1 ) = 'Complex 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 cerrvx( 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 CLATB4 for the matrix generator
290 * based on the type of matrix to be generated.
291 *
292  CALL clatb4( matpath, imat, n, n, TYPE, KL, KU, ANORM,
293  $ mode, cndnum, dist )
294 *
295 * Generate a matrix with CLATMS.
296 *
297  srnamt = 'CLATMS'
298  CALL clatms( n, n, dist, iseed, TYPE, RWORK, MODE,
299  $ cndnum, anorm, kl, ku, uplo, a, lda,
300  $ work, info )
301 *
302 * Check error code from CLATMS and handle error.
303 *
304  IF( info.NE.0 ) THEN
305  CALL alaerh( path, 'CLATMS', 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 ) = zero
330  20 CONTINUE
331  ioff = ioff + izero
332  DO 30 i = izero, n
333  a( ioff ) = zero
334  ioff = ioff + lda
335  30 CONTINUE
336  ELSE
337  ioff = izero
338  DO 40 i = 1, izero - 1
339  a( ioff ) = zero
340  ioff = ioff + lda
341  40 CONTINUE
342  ioff = ioff - izero
343  DO 50 i = izero, n
344  a( ioff+i ) = zero
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 ) = zero
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 ) = zero
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 = 'CLARHS'
391  CALL clarhs( matpath, xtype, uplo, ' ', n, n, kl, ku,
392  $ nrhs, a, lda, xact, lda, b, lda, iseed,
393  $ info )
394  xtype = 'C'
395 *
396 * --- Test CHESV_AA ---
397 *
398  IF( ifact.EQ.2 ) THEN
399  CALL clacpy( uplo, n, n, a, lda, afac, lda )
400  CALL clacpy( 'Full', n, nrhs, b, lda, x, lda )
401 *
402 * Factor the matrix and solve the system using CHESV_AA.
403 *
404  srnamt = 'CHESV_AA '
405  CALL chesv_aa( uplo, n, nrhs, afac, lda, iwork,
406  $ x, lda, work, lwork, info )
407 *
408 * Adjust the expected value of INFO to account for
409 * pivoting.
410 *
411  IF( izero.GT.0 ) THEN
412  j = 1
413  k = izero
414  100 CONTINUE
415  IF( j.EQ.k ) THEN
416  k = iwork( j )
417  ELSE IF( iwork( j ).EQ.k ) THEN
418  k = j
419  END IF
420  IF( j.LT.k ) THEN
421  j = j + 1
422  GO TO 100
423  END IF
424  ELSE
425  k = 0
426  END IF
427 *
428 * Check error code from CHESV_AA .
429 *
430  IF( info.NE.k ) THEN
431  CALL alaerh( path, 'CHESV_AA', info, k,
432  $ uplo, n, n, -1, -1, nrhs,
433  $ imat, nfail, nerrs, nout )
434  GO TO 120
435  ELSE IF( info.NE.0 ) THEN
436  GO TO 120
437  END IF
438 *
439 * Reconstruct matrix from factors and compute
440 * residual.
441 *
442  CALL chet01_aa( uplo, n, a, lda, afac, lda,
443  $ iwork, ainv, lda, rwork,
444  $ result( 1 ) )
445 *
446 * Compute residual of the computed solution.
447 *
448  CALL clacpy( 'Full', n, nrhs, b, lda, work, lda )
449  CALL cpot02( uplo, n, nrhs, a, lda, x, lda, work,
450  $ lda, rwork, result( 2 ) )
451  nt = 2
452 *
453 * Print information about the tests that did not pass
454 * the threshold.
455 *
456  DO 110 k = 1, nt
457  IF( result( k ).GE.thresh ) THEN
458  IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
459  $ CALL aladhd( nout, path )
460  WRITE( nout, fmt = 9999 )'CHESV_AA ',
461  $ uplo, n, imat, k, result( k )
462  nfail = nfail + 1
463  END IF
464  110 CONTINUE
465  nrun = nrun + nt
466  120 CONTINUE
467  END IF
468 *
469  150 CONTINUE
470 *
471  160 CONTINUE
472  170 CONTINUE
473  180 CONTINUE
474 *
475 * Print a summary of the results.
476 *
477  CALL alasvm( path, nout, nfail, nrun, nerrs )
478 *
479  9999 FORMAT( 1x, a, ', UPLO=''', a1, ''', N =', i5, ', type ', i2,
480  $ ', test ', i2, ', ratio =', g12.5 )
481  RETURN
482 *
483 * End of CDRVHE_AA
484 *
485  END
alasvm
subroutine alasvm(TYPE, NOUT, NFAIL, NRUN, NERRS)
ALASVM
Definition: alasvm.f:75
alaerh
subroutine alaerh(PATH, SUBNAM, INFO, INFOE, OPTS, M, N, KL, KU, N5, IMAT, NFAIL, NERRS, NOUT)
ALAERH
Definition: alaerh.f:149
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
cerrvx
subroutine cerrvx(PATH, NUNIT)
CERRVX
Definition: cerrvx.f:57
cdrvhe_aa
subroutine cdrvhe_aa(DOTYPE, NN, NVAL, NRHS, THRESH, TSTERR, NMAX, A, AFAC, AINV, B, X, XACT, WORK, RWORK, IWORK, NOUT)
CDRVHE_AA
Definition: cdrvhe_aa.f:155
xlaenv
subroutine xlaenv(ISPEC, NVALUE)
XLAENV
Definition: xlaenv.f:83
cpot02
subroutine cpot02(UPLO, N, NRHS, A, LDA, X, LDX, B, LDB, RWORK, RESID)
CPOT02
Definition: cpot02.f:129
clatms
subroutine clatms(M, N, DIST, ISEED, SYM, D, MODE, COND, DMAX, KL, KU, PACK, A, LDA, WORK, INFO)
CLATMS
Definition: clatms.f:334
aladhd
subroutine aladhd(IOUNIT, PATH)
ALADHD
Definition: aladhd.f:92
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
chet01_aa
subroutine chet01_aa(UPLO, N, A, LDA, AFAC, LDAFAC, IPIV, C, LDC, RWORK, RESID)
CHET01_AA
Definition: chet01_aa.f:127
clatb4
subroutine clatb4(PATH, IMAT, M, N, TYPE, KL, KU, ANORM, MODE, CNDNUM, DIST)
CLATB4
Definition: clatb4.f:123
chetrf_aa
subroutine chetrf_aa(UPLO, N, A, LDA, IPIV, WORK, LWORK, INFO)
CHETRF_AA
Definition: chetrf_aa.f:138
chesv_aa
subroutine chesv_aa(UPLO, N, NRHS, A, LDA, IPIV, B, LDB, WORK, LWORK, INFO)
CHESV_AA computes the solution to system of linear equations A * X = B for HE matrices ...
Definition: chesv_aa.f:166
cget04
subroutine cget04(N, NRHS, X, LDX, XACT, LDXACT, RCOND, RESID)
CGET04
Definition: cget04.f:104