LAPACK  3.9.0
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 November 2017
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 3.8.0) --
157 * -- LAPACK is a software package provided by Univ. of Tennessee, --
158 * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
159 * November 2017
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 *
245 * Test the error exits
246 *
247  IF( tsterr )
248  $ CALL cerrvx( path, nout )
249  infot = 0
250 *
251 * Set the block size and minimum block size for testing.
252 *
253  nb = 1
254  nbmin = 2
255  CALL xlaenv( 1, nb )
256  CALL xlaenv( 2, nbmin )
257 *
258 * Do for each value of N in NVAL
259 *
260  DO 180 in = 1, nn
261  n = nval( in )
262  lwork = max( 3*n-2, n*(1+nb) )
263  lwork = max( lwork, 1 )
264  lda = max( n, 1 )
265  xtype = 'N'
266  nimat = ntypes
267  IF( n.LE.0 )
268  $ nimat = 1
269 *
270  DO 170 imat = 1, nimat
271 *
272 * Do the tests only if DOTYPE( IMAT ) is true.
273 *
274  IF( .NOT.dotype( imat ) )
275  $ GO TO 170
276 *
277 * Skip types 3, 4, 5, or 6 if the matrix size is too small.
278 *
279  zerot = imat.GE.3 .AND. imat.LE.6
280  IF( zerot .AND. n.LT.imat-2 )
281  $ GO TO 170
282 *
283 * Do first for UPLO = 'U', then for UPLO = 'L'
284 *
285  DO 160 iuplo = 1, 2
286  uplo = uplos( iuplo )
287 *
288 * Begin generate the test matrix A.
289 *
290 * Set up parameters with CLATB4 for the matrix generator
291 * based on the type of matrix to be generated.
292 *
293  CALL clatb4( matpath, imat, n, n, TYPE, kl, ku, anorm,
294  $ mode, cndnum, dist )
295 *
296 * Generate a matrix with CLATMS.
297 *
298  srnamt = 'CLATMS'
299  CALL clatms( n, n, dist, iseed, TYPE, rwork, mode,
300  $ cndnum, anorm, kl, ku, uplo, a, lda,
301  $ work, info )
302 *
303 * Check error code from CLATMS and handle error.
304 *
305  IF( info.NE.0 ) THEN
306  CALL alaerh( path, 'CLATMS', info, 0, uplo, n, n,
307  $ -1, -1, -1, imat, nfail, nerrs, nout )
308  GO TO 160
309  END IF
310 *
311 * For types 3-6, zero one or more rows and columns of
312 * the matrix to test that INFO is returned correctly.
313 *
314  IF( zerot ) THEN
315  IF( imat.EQ.3 ) THEN
316  izero = 1
317  ELSE IF( imat.EQ.4 ) THEN
318  izero = n
319  ELSE
320  izero = n / 2 + 1
321  END IF
322 *
323  IF( imat.LT.6 ) THEN
324 *
325 * Set row and column IZERO to zero.
326 *
327  IF( iuplo.EQ.1 ) THEN
328  ioff = ( izero-1 )*lda
329  DO 20 i = 1, izero - 1
330  a( ioff+i ) = zero
331  20 CONTINUE
332  ioff = ioff + izero
333  DO 30 i = izero, n
334  a( ioff ) = zero
335  ioff = ioff + lda
336  30 CONTINUE
337  ELSE
338  ioff = izero
339  DO 40 i = 1, izero - 1
340  a( ioff ) = zero
341  ioff = ioff + lda
342  40 CONTINUE
343  ioff = ioff - izero
344  DO 50 i = izero, n
345  a( ioff+i ) = zero
346  50 CONTINUE
347  END IF
348  ELSE
349  ioff = 0
350  IF( iuplo.EQ.1 ) THEN
351 *
352 * Set the first IZERO rows and columns to zero.
353 *
354  DO 70 j = 1, n
355  i2 = min( j, izero )
356  DO 60 i = 1, i2
357  a( ioff+i ) = zero
358  60 CONTINUE
359  ioff = ioff + lda
360  70 CONTINUE
361  izero = 1
362  ELSE
363 *
364 * Set the first IZERO rows and columns to zero.
365 *
366  ioff = 0
367  DO 90 j = 1, n
368  i1 = max( j, izero )
369  DO 80 i = i1, n
370  a( ioff+i ) = zero
371  80 CONTINUE
372  ioff = ioff + lda
373  90 CONTINUE
374  END IF
375  END IF
376  ELSE
377  izero = 0
378  END IF
379 *
380 * End generate the test matrix A.
381 *
382 *
383  DO 150 ifact = 1, nfact
384 *
385 * Do first for FACT = 'F', then for other values.
386 *
387  fact = facts( ifact )
388 *
389 * Form an exact solution and set the right hand side.
390 *
391  srnamt = 'CLARHS'
392  CALL clarhs( matpath, xtype, uplo, ' ', n, n, kl, ku,
393  $ nrhs, a, lda, xact, lda, b, lda, iseed,
394  $ info )
395  xtype = 'C'
396 *
397 * --- Test CHESV_AA ---
398 *
399  IF( ifact.EQ.2 ) THEN
400  CALL clacpy( uplo, n, n, a, lda, afac, lda )
401  CALL clacpy( 'Full', n, nrhs, b, lda, x, lda )
402 *
403 * Factor the matrix and solve the system using CHESV_AA.
404 *
405  srnamt = 'CHESV_AA '
406  CALL chesv_aa( uplo, n, nrhs, afac, lda, iwork,
407  $ x, lda, work, lwork, info )
408 *
409 * Adjust the expected value of INFO to account for
410 * pivoting.
411 *
412  IF( izero.GT.0 ) THEN
413  j = 1
414  k = izero
415  100 CONTINUE
416  IF( j.EQ.k ) THEN
417  k = iwork( j )
418  ELSE IF( iwork( j ).EQ.k ) THEN
419  k = j
420  END IF
421  IF( j.LT.k ) THEN
422  j = j + 1
423  GO TO 100
424  END IF
425  ELSE
426  k = 0
427  END IF
428 *
429 * Check error code from CHESV_AA .
430 *
431  IF( info.NE.k ) THEN
432  CALL alaerh( path, 'CHESV_AA', info, k,
433  $ uplo, n, n, -1, -1, nrhs,
434  $ imat, nfail, nerrs, nout )
435  GO TO 120
436  ELSE IF( info.NE.0 ) THEN
437  GO TO 120
438  END IF
439 *
440 * Reconstruct matrix from factors and compute
441 * residual.
442 *
443  CALL chet01_aa( uplo, n, a, lda, afac, lda,
444  $ iwork, ainv, lda, rwork,
445  $ result( 1 ) )
446 *
447 * Compute residual of the computed solution.
448 *
449  CALL clacpy( 'Full', n, nrhs, b, lda, work, lda )
450  CALL cpot02( uplo, n, nrhs, a, lda, x, lda, work,
451  $ lda, rwork, result( 2 ) )
452  nt = 2
453 *
454 * Print information about the tests that did not pass
455 * the threshold.
456 *
457  DO 110 k = 1, nt
458  IF( result( k ).GE.thresh ) THEN
459  IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
460  $ CALL aladhd( nout, path )
461  WRITE( nout, fmt = 9999 )'CHESV_AA ',
462  $ uplo, n, imat, k, result( k )
463  nfail = nfail + 1
464  END IF
465  110 CONTINUE
466  nrun = nrun + nt
467  120 CONTINUE
468  END IF
469 *
470  150 CONTINUE
471 *
472  160 CONTINUE
473  170 CONTINUE
474  180 CONTINUE
475 *
476 * Print a summary of the results.
477 *
478  CALL alasvm( path, nout, nfail, nrun, nerrs )
479 *
480  9999 FORMAT( 1x, a, ', UPLO=''', a1, ''', N =', i5, ', type ', i2,
481  $ ', test ', i2, ', ratio =', g12.5 )
482  RETURN
483 *
484 * End of CDRVHE_AA
485 *
486  END
alasvm
subroutine alasvm(TYPE, NOUT, NFAIL, NRUN, NERRS)
ALASVM
Definition: alasvm.f:75
cerrvx
subroutine cerrvx(PATH, NUNIT)
CERRVX
Definition: cerrvx.f:57
chet01_aa
subroutine chet01_aa(UPLO, N, A, LDA, AFAC, LDAFAC, IPIV, C, LDC, RWORK, RESID)
CHET01_AA
Definition: chet01_aa.f:127
cget04
subroutine cget04(N, NRHS, X, LDX, XACT, LDXACT, RCOND, RESID)
CGET04
Definition: cget04.f:104
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
cpot02
subroutine cpot02(UPLO, N, NRHS, A, LDA, X, LDX, B, LDB, RWORK, RESID)
CPOT02
Definition: cpot02.f:129
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
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
chetrf_aa
subroutine chetrf_aa(UPLO, N, A, LDA, IPIV, WORK, LWORK, INFO)
CHETRF_AA
Definition: chetrf_aa.f:134
alaerh
subroutine alaerh(PATH, SUBNAM, INFO, INFOE, OPTS, M, N, KL, KU, N5, IMAT, NFAIL, NERRS, NOUT)
ALAERH
Definition: alaerh.f:149
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:164
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
clatb4
subroutine clatb4(PATH, IMAT, M, N, TYPE, KL, KU, ANORM, MODE, CNDNUM, DIST)
CLATB4
Definition: clatb4.f:123
xlaenv
subroutine xlaenv(ISPEC, NVALUE)
XLAENV
Definition: xlaenv.f:83