LAPACK  3.10.0
LAPACK: Linear Algebra PACKage
zchkrq.f
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1 *> \brief \b ZCHKRQ
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 ZCHKRQ( DOTYPE, NM, MVAL, NN, NVAL, NNB, NBVAL, NXVAL,
12 * NRHS, THRESH, TSTERR, NMAX, A, AF, AQ, AR, AC,
13 * B, X, XACT, TAU, WORK, RWORK, IWORK, NOUT )
14 *
15 * .. Scalar Arguments ..
16 * LOGICAL TSTERR
17 * INTEGER NM, NMAX, NN, NNB, NOUT, NRHS
18 * DOUBLE PRECISION THRESH
19 * ..
20 * .. Array Arguments ..
21 * LOGICAL DOTYPE( * )
22 * INTEGER IWORK( * ), MVAL( * ), NBVAL( * ), NVAL( * ),
23 * $ NXVAL( * )
24 * DOUBLE PRECISION RWORK( * )
25 * COMPLEX*16 A( * ), AC( * ), AF( * ), AQ( * ), AR( * ),
26 * $ B( * ), TAU( * ), WORK( * ), X( * ), XACT( * )
27 * ..
28 *
29 *
30 *> \par Purpose:
31 * =============
32 *>
33 *> \verbatim
34 *>
35 *> ZCHKRQ tests ZGERQF, ZUNGRQ and ZUNMRQ.
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] NM
50 *> \verbatim
51 *> NM is INTEGER
52 *> The number of values of M contained in the vector MVAL.
53 *> \endverbatim
54 *>
55 *> \param[in] MVAL
56 *> \verbatim
57 *> MVAL is INTEGER array, dimension (NM)
58 *> The values of the matrix row dimension M.
59 *> \endverbatim
60 *>
61 *> \param[in] NN
62 *> \verbatim
63 *> NN is INTEGER
64 *> The number of values of N contained in the vector NVAL.
65 *> \endverbatim
66 *>
67 *> \param[in] NVAL
68 *> \verbatim
69 *> NVAL is INTEGER array, dimension (NN)
70 *> The values of the matrix column dimension N.
71 *> \endverbatim
72 *>
73 *> \param[in] NNB
74 *> \verbatim
75 *> NNB is INTEGER
76 *> The number of values of NB and NX contained in the
77 *> vectors NBVAL and NXVAL. The blocking parameters are used
78 *> in pairs (NB,NX).
79 *> \endverbatim
80 *>
81 *> \param[in] NBVAL
82 *> \verbatim
83 *> NBVAL is INTEGER array, dimension (NNB)
84 *> The values of the blocksize NB.
85 *> \endverbatim
86 *>
87 *> \param[in] NXVAL
88 *> \verbatim
89 *> NXVAL is INTEGER array, dimension (NNB)
90 *> The values of the crossover point NX.
91 *> \endverbatim
92 *>
93 *> \param[in] NRHS
94 *> \verbatim
95 *> NRHS is INTEGER
96 *> The number of right hand side vectors to be generated for
97 *> each linear system.
98 *> \endverbatim
99 *>
100 *> \param[in] THRESH
101 *> \verbatim
102 *> THRESH is DOUBLE PRECISION
103 *> The threshold value for the test ratios. A result is
104 *> included in the output file if RESULT >= THRESH. To have
105 *> every test ratio printed, use THRESH = 0.
106 *> \endverbatim
107 *>
108 *> \param[in] TSTERR
109 *> \verbatim
110 *> TSTERR is LOGICAL
111 *> Flag that indicates whether error exits are to be tested.
112 *> \endverbatim
113 *>
114 *> \param[in] NMAX
115 *> \verbatim
116 *> NMAX is INTEGER
117 *> The maximum value permitted for M or N, used in dimensioning
118 *> the work arrays.
119 *> \endverbatim
120 *>
121 *> \param[out] A
122 *> \verbatim
123 *> A is COMPLEX*16 array, dimension (NMAX*NMAX)
124 *> \endverbatim
125 *>
126 *> \param[out] AF
127 *> \verbatim
128 *> AF is COMPLEX*16 array, dimension (NMAX*NMAX)
129 *> \endverbatim
130 *>
131 *> \param[out] AQ
132 *> \verbatim
133 *> AQ is COMPLEX*16 array, dimension (NMAX*NMAX)
134 *> \endverbatim
135 *>
136 *> \param[out] AR
137 *> \verbatim
138 *> AR is COMPLEX*16 array, dimension (NMAX*NMAX)
139 *> \endverbatim
140 *>
141 *> \param[out] AC
142 *> \verbatim
143 *> AC is COMPLEX*16 array, dimension (NMAX*NMAX)
144 *> \endverbatim
145 *>
146 *> \param[out] B
147 *> \verbatim
148 *> B is COMPLEX*16 array, dimension (NMAX*NRHS)
149 *> \endverbatim
150 *>
151 *> \param[out] X
152 *> \verbatim
153 *> X is COMPLEX*16 array, dimension (NMAX*NRHS)
154 *> \endverbatim
155 *>
156 *> \param[out] XACT
157 *> \verbatim
158 *> XACT is COMPLEX*16 array, dimension (NMAX*NRHS)
159 *> \endverbatim
160 *>
161 *> \param[out] TAU
162 *> \verbatim
163 *> TAU is COMPLEX*16 array, dimension (NMAX)
164 *> \endverbatim
165 *>
166 *> \param[out] WORK
167 *> \verbatim
168 *> WORK is COMPLEX*16 array, dimension (NMAX*NMAX)
169 *> \endverbatim
170 *>
171 *> \param[out] RWORK
172 *> \verbatim
173 *> RWORK is DOUBLE PRECISION array, dimension (NMAX)
174 *> \endverbatim
175 *>
176 *> \param[out] IWORK
177 *> \verbatim
178 *> IWORK is INTEGER array, dimension (NMAX)
179 *> \endverbatim
180 *>
181 *> \param[in] NOUT
182 *> \verbatim
183 *> NOUT is INTEGER
184 *> The unit number for output.
185 *> \endverbatim
186 *
187 * Authors:
188 * ========
189 *
190 *> \author Univ. of Tennessee
191 *> \author Univ. of California Berkeley
192 *> \author Univ. of Colorado Denver
193 *> \author NAG Ltd.
194 *
195 *> \ingroup complex16_lin
196 *
197 * =====================================================================
198  SUBROUTINE zchkrq( DOTYPE, NM, MVAL, NN, NVAL, NNB, NBVAL, NXVAL,
199  $ NRHS, THRESH, TSTERR, NMAX, A, AF, AQ, AR, AC,
200  $ B, X, XACT, TAU, WORK, RWORK, IWORK, NOUT )
201 *
202 * -- LAPACK test routine --
203 * -- LAPACK is a software package provided by Univ. of Tennessee, --
204 * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
205 *
206 * .. Scalar Arguments ..
207  LOGICAL TSTERR
208  INTEGER NM, NMAX, NN, NNB, NOUT, NRHS
209  DOUBLE PRECISION THRESH
210 * ..
211 * .. Array Arguments ..
212  LOGICAL DOTYPE( * )
213  INTEGER IWORK( * ), MVAL( * ), NBVAL( * ), NVAL( * ),
214  $ nxval( * )
215  DOUBLE PRECISION RWORK( * )
216  COMPLEX*16 A( * ), AC( * ), AF( * ), AQ( * ), AR( * ),
217  $ b( * ), tau( * ), work( * ), x( * ), xact( * )
218 * ..
219 *
220 * =====================================================================
221 *
222 * .. Parameters ..
223  INTEGER NTESTS
224  PARAMETER ( NTESTS = 7 )
225  INTEGER NTYPES
226  parameter( ntypes = 8 )
227  DOUBLE PRECISION ZERO
228  parameter( zero = 0.0d0 )
229 * ..
230 * .. Local Scalars ..
231  CHARACTER DIST, TYPE
232  CHARACTER*3 PATH
233  INTEGER I, IK, IM, IMAT, IN, INB, INFO, K, KL, KU, LDA,
234  $ lwork, m, minmn, mode, n, nb, nerrs, nfail, nk,
235  $ nrun, nt, nx
236  DOUBLE PRECISION ANORM, CNDNUM
237 * ..
238 * .. Local Arrays ..
239  INTEGER ISEED( 4 ), ISEEDY( 4 ), KVAL( 4 )
240  DOUBLE PRECISION RESULT( NTESTS )
241 * ..
242 * .. External Subroutines ..
243  EXTERNAL alaerh, alahd, alasum, xlaenv, zerrrq, zgerqs,
245  $ zrqt02, zrqt03
246 * ..
247 * .. Intrinsic Functions ..
248  INTRINSIC max, min
249 * ..
250 * .. Scalars in Common ..
251  LOGICAL LERR, OK
252  CHARACTER*32 SRNAMT
253  INTEGER INFOT, NUNIT
254 * ..
255 * .. Common blocks ..
256  COMMON / infoc / infot, nunit, ok, lerr
257  COMMON / srnamc / srnamt
258 * ..
259 * .. Data statements ..
260  DATA iseedy / 1988, 1989, 1990, 1991 /
261 * ..
262 * .. Executable Statements ..
263 *
264 * Initialize constants and the random number seed.
265 *
266  path( 1: 1 ) = 'Zomplex precision'
267  path( 2: 3 ) = 'RQ'
268  nrun = 0
269  nfail = 0
270  nerrs = 0
271  DO 10 i = 1, 4
272  iseed( i ) = iseedy( i )
273  10 CONTINUE
274 *
275 * Test the error exits
276 *
277  IF( tsterr )
278  $ CALL zerrrq( path, nout )
279  infot = 0
280  CALL xlaenv( 2, 2 )
281 *
282  lda = nmax
283  lwork = nmax*max( nmax, nrhs )
284 *
285 * Do for each value of M in MVAL.
286 *
287  DO 70 im = 1, nm
288  m = mval( im )
289 *
290 * Do for each value of N in NVAL.
291 *
292  DO 60 in = 1, nn
293  n = nval( in )
294  minmn = min( m, n )
295  DO 50 imat = 1, ntypes
296 *
297 * Do the tests only if DOTYPE( IMAT ) is true.
298 *
299  IF( .NOT.dotype( imat ) )
300  $ GO TO 50
301 *
302 * Set up parameters with ZLATB4 and generate a test matrix
303 * with ZLATMS.
304 *
305  CALL zlatb4( path, imat, m, n, TYPE, kl, ku, anorm, mode,
306  $ cndnum, dist )
307 *
308  srnamt = 'ZLATMS'
309  CALL zlatms( m, n, dist, iseed, TYPE, rwork, mode,
310  $ cndnum, anorm, kl, ku, 'No packing', a, lda,
311  $ work, info )
312 *
313 * Check error code from ZLATMS.
314 *
315  IF( info.NE.0 ) THEN
316  CALL alaerh( path, 'ZLATMS', info, 0, ' ', m, n, -1,
317  $ -1, -1, imat, nfail, nerrs, nout )
318  GO TO 50
319  END IF
320 *
321 * Set some values for K: the first value must be MINMN,
322 * corresponding to the call of ZRQT01; other values are
323 * used in the calls of ZRQT02, and must not exceed MINMN.
324 *
325  kval( 1 ) = minmn
326  kval( 2 ) = 0
327  kval( 3 ) = 1
328  kval( 4 ) = minmn / 2
329  IF( minmn.EQ.0 ) THEN
330  nk = 1
331  ELSE IF( minmn.EQ.1 ) THEN
332  nk = 2
333  ELSE IF( minmn.LE.3 ) THEN
334  nk = 3
335  ELSE
336  nk = 4
337  END IF
338 *
339 * Do for each value of K in KVAL
340 *
341  DO 40 ik = 1, nk
342  k = kval( ik )
343 *
344 * Do for each pair of values (NB,NX) in NBVAL and NXVAL.
345 *
346  DO 30 inb = 1, nnb
347  nb = nbval( inb )
348  CALL xlaenv( 1, nb )
349  nx = nxval( inb )
350  CALL xlaenv( 3, nx )
351  DO i = 1, ntests
352  result( i ) = zero
353  END DO
354  nt = 2
355  IF( ik.EQ.1 ) THEN
356 *
357 * Test ZGERQF
358 *
359  CALL zrqt01( m, n, a, af, aq, ar, lda, tau,
360  $ work, lwork, rwork, result( 1 ) )
361  ELSE IF( m.LE.n ) THEN
362 *
363 * Test ZUNGRQ, using factorization
364 * returned by ZRQT01
365 *
366  CALL zrqt02( m, n, k, a, af, aq, ar, lda, tau,
367  $ work, lwork, rwork, result( 1 ) )
368  END IF
369  IF( m.GE.k ) THEN
370 *
371 * Test ZUNMRQ, using factorization returned
372 * by ZRQT01
373 *
374  CALL zrqt03( m, n, k, af, ac, ar, aq, lda, tau,
375  $ work, lwork, rwork, result( 3 ) )
376  nt = nt + 4
377 *
378 * If M>=N and K=N, call ZGERQS to solve a system
379 * with NRHS right hand sides and compute the
380 * residual.
381 *
382  IF( k.EQ.m .AND. inb.EQ.1 ) THEN
383 *
384 * Generate a solution and set the right
385 * hand side.
386 *
387  srnamt = 'ZLARHS'
388  CALL zlarhs( path, 'New', 'Full',
389  $ 'No transpose', m, n, 0, 0,
390  $ nrhs, a, lda, xact, lda, b, lda,
391  $ iseed, info )
392 *
393  CALL zlacpy( 'Full', m, nrhs, b, lda,
394  $ x( n-m+1 ), lda )
395  srnamt = 'ZGERQS'
396  CALL zgerqs( m, n, nrhs, af, lda, tau, x,
397  $ lda, work, lwork, info )
398 *
399 * Check error code from ZGERQS.
400 *
401  IF( info.NE.0 )
402  $ CALL alaerh( path, 'ZGERQS', info, 0, ' ',
403  $ m, n, nrhs, -1, nb, imat,
404  $ nfail, nerrs, nout )
405 *
406  CALL zget02( 'No transpose', m, n, nrhs, a,
407  $ lda, x, lda, b, lda, rwork,
408  $ result( 7 ) )
409  nt = nt + 1
410  END IF
411  END IF
412 *
413 * Print information about the tests that did not
414 * pass the threshold.
415 *
416  DO 20 i = 1, nt
417  IF( result( i ).GE.thresh ) THEN
418  IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
419  $ CALL alahd( nout, path )
420  WRITE( nout, fmt = 9999 )m, n, k, nb, nx,
421  $ imat, i, result( i )
422  nfail = nfail + 1
423  END IF
424  20 CONTINUE
425  nrun = nrun + nt
426  30 CONTINUE
427  40 CONTINUE
428  50 CONTINUE
429  60 CONTINUE
430  70 CONTINUE
431 *
432 * Print a summary of the results.
433 *
434  CALL alasum( path, nout, nfail, nrun, nerrs )
435 *
436  9999 FORMAT( ' M=', i5, ', N=', i5, ', K=', i5, ', NB=', i4, ', NX=',
437  $ i5, ', type ', i2, ', test(', i2, ')=', g12.5 )
438  RETURN
439 *
440 * End of ZCHKRQ
441 *
442  END
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 zget02(TRANS, M, N, NRHS, A, LDA, X, LDX, B, LDB, RWORK, RESID)
ZGET02
Definition: zget02.f:134
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 zrqt02(M, N, K, A, AF, Q, R, LDA, TAU, WORK, LWORK, RWORK, RESULT)
ZRQT02
Definition: zrqt02.f:136
subroutine zgerqs(M, N, NRHS, A, LDA, TAU, B, LDB, WORK, LWORK, INFO)
ZGERQS
Definition: zgerqs.f:122
subroutine zrqt03(M, N, K, AF, C, CC, Q, LDA, TAU, WORK, LWORK, RWORK, RESULT)
ZRQT03
Definition: zrqt03.f:136
subroutine zchkrq(DOTYPE, NM, MVAL, NN, NVAL, NNB, NBVAL, NXVAL, NRHS, THRESH, TSTERR, NMAX, A, AF, AQ, AR, AC, B, X, XACT, TAU, WORK, RWORK, IWORK, NOUT)
ZCHKRQ
Definition: zchkrq.f:201
subroutine zrqt01(M, N, A, AF, Q, R, LDA, TAU, WORK, LWORK, RWORK, RESULT)
ZRQT01
Definition: zrqt01.f:126
subroutine zlatb4(PATH, IMAT, M, N, TYPE, KL, KU, ANORM, MODE, CNDNUM, DIST)
ZLATB4
Definition: zlatb4.f:121
subroutine zerrrq(PATH, NUNIT)
ZERRRQ
Definition: zerrrq.f:55
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