LAPACK 3.11.0 LAPACK: Linear Algebra PACKage
Searching...
No Matches
zchkqr.f
Go to the documentation of this file.
1*> \brief \b ZCHKQR
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 ZCHKQR( 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*> ZCHKQR tests ZGEQRF, ZUNGQR and ZUNMQR.
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 zchkqr( 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 = 9 )
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 Functions ..
243 LOGICAL ZGENND
244 EXTERNAL ZGENND
245* ..
246* .. External Subroutines ..
247 EXTERNAL alaerh, alahd, alasum, xlaenv, zerrqr, zgeqrs,
250* ..
251* .. Intrinsic Functions ..
252 INTRINSIC max, min
253* ..
254* .. Scalars in Common ..
255 LOGICAL LERR, OK
256 CHARACTER*32 SRNAMT
257 INTEGER INFOT, NUNIT
258* ..
259* .. Common blocks ..
260 COMMON / infoc / infot, nunit, ok, lerr
261 COMMON / srnamc / srnamt
262* ..
263* .. Data statements ..
264 DATA iseedy / 1988, 1989, 1990, 1991 /
265* ..
266* .. Executable Statements ..
267*
268* Initialize constants and the random number seed.
269*
270 path( 1: 1 ) = 'Zomplex precision'
271 path( 2: 3 ) = 'QR'
272 nrun = 0
273 nfail = 0
274 nerrs = 0
275 DO 10 i = 1, 4
276 iseed( i ) = iseedy( i )
277 10 CONTINUE
278*
279* Test the error exits
280*
281 IF( tsterr )
282 \$ CALL zerrqr( path, nout )
283 infot = 0
284 CALL xlaenv( 2, 2 )
285*
286 lda = nmax
287 lwork = nmax*max( nmax, nrhs )
288*
289* Do for each value of M in MVAL.
290*
291 DO 70 im = 1, nm
292 m = mval( im )
293*
294* Do for each value of N in NVAL.
295*
296 DO 60 in = 1, nn
297 n = nval( in )
298 minmn = min( m, n )
299 DO 50 imat = 1, ntypes
300*
301* Do the tests only if DOTYPE( IMAT ) is true.
302*
303 IF( .NOT.dotype( imat ) )
304 \$ GO TO 50
305*
306* Set up parameters with ZLATB4 and generate a test matrix
307* with ZLATMS.
308*
309 CALL zlatb4( path, imat, m, n, TYPE, kl, ku, anorm, mode,
310 \$ cndnum, dist )
311*
312 srnamt = 'ZLATMS'
313 CALL zlatms( m, n, dist, iseed, TYPE, rwork, mode,
314 \$ cndnum, anorm, kl, ku, 'No packing', a, lda,
315 \$ work, info )
316*
317* Check error code from ZLATMS.
318*
319 IF( info.NE.0 ) THEN
320 CALL alaerh( path, 'ZLATMS', info, 0, ' ', m, n, -1,
321 \$ -1, -1, imat, nfail, nerrs, nout )
322 GO TO 50
323 END IF
324*
325* Set some values for K: the first value must be MINMN,
326* corresponding to the call of ZQRT01; other values are
327* used in the calls of ZQRT02, and must not exceed MINMN.
328*
329 kval( 1 ) = minmn
330 kval( 2 ) = 0
331 kval( 3 ) = 1
332 kval( 4 ) = minmn / 2
333 IF( minmn.EQ.0 ) THEN
334 nk = 1
335 ELSE IF( minmn.EQ.1 ) THEN
336 nk = 2
337 ELSE IF( minmn.LE.3 ) THEN
338 nk = 3
339 ELSE
340 nk = 4
341 END IF
342*
343* Do for each value of K in KVAL
344*
345 DO 40 ik = 1, nk
346 k = kval( ik )
347*
348* Do for each pair of values (NB,NX) in NBVAL and NXVAL.
349*
350 DO 30 inb = 1, nnb
351 nb = nbval( inb )
352 CALL xlaenv( 1, nb )
353 nx = nxval( inb )
354 CALL xlaenv( 3, nx )
355 DO i = 1, ntests
356 result( i ) = zero
357 END DO
358 nt = 2
359 IF( ik.EQ.1 ) THEN
360*
361* Test ZGEQRF
362*
363 CALL zqrt01( m, n, a, af, aq, ar, lda, tau,
364 \$ work, lwork, rwork, result( 1 ) )
365*
366* Test ZGEQRFP
367*
368 CALL zqrt01p( m, n, a, af, aq, ar, lda, tau,
369 \$ work, lwork, rwork, result( 8 ) )
370
371 IF( .NOT. zgennd( m, n, af, lda ) )
372 \$ result( 9 ) = 2*thresh
373 nt = nt + 1
374 ELSE IF( m.GE.n ) THEN
375*
376* Test ZUNGQR, using factorization
377* returned by ZQRT01
378*
379 CALL zqrt02( m, n, k, a, af, aq, ar, lda, tau,
380 \$ work, lwork, rwork, result( 1 ) )
381 END IF
382 IF( m.GE.k ) THEN
383*
384* Test ZUNMQR, using factorization returned
385* by ZQRT01
386*
387 CALL zqrt03( m, n, k, af, ac, ar, aq, lda, tau,
388 \$ work, lwork, rwork, result( 3 ) )
389 nt = nt + 4
390*
391* If M>=N and K=N, call ZGEQRS to solve a system
392* with NRHS right hand sides and compute the
393* residual.
394*
395 IF( k.EQ.n .AND. inb.EQ.1 ) THEN
396*
397* Generate a solution and set the right
398* hand side.
399*
400 srnamt = 'ZLARHS'
401 CALL zlarhs( path, 'New', 'Full',
402 \$ 'No transpose', m, n, 0, 0,
403 \$ nrhs, a, lda, xact, lda, b, lda,
404 \$ iseed, info )
405*
406 CALL zlacpy( 'Full', m, nrhs, b, lda, x,
407 \$ lda )
408 srnamt = 'ZGEQRS'
409 CALL zgeqrs( m, n, nrhs, af, lda, tau, x,
410 \$ lda, work, lwork, info )
411*
412* Check error code from ZGEQRS.
413*
414 IF( info.NE.0 )
415 \$ CALL alaerh( path, 'ZGEQRS', info, 0, ' ',
416 \$ m, n, nrhs, -1, nb, imat,
417 \$ nfail, nerrs, nout )
418*
419 CALL zget02( 'No transpose', m, n, nrhs, a,
420 \$ lda, x, lda, b, lda, rwork,
421 \$ result( 7 ) )
422 nt = nt + 1
423 END IF
424 END IF
425*
426* Print information about the tests that did not
427* pass the threshold.
428*
429 DO 20 i = 1, ntests
430 IF( result( i ).GE.thresh ) THEN
431 IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
432 \$ CALL alahd( nout, path )
433 WRITE( nout, fmt = 9999 )m, n, k, nb, nx,
434 \$ imat, i, result( i )
435 nfail = nfail + 1
436 END IF
437 20 CONTINUE
438 nrun = nrun + ntests
439 30 CONTINUE
440 40 CONTINUE
441 50 CONTINUE
442 60 CONTINUE
443 70 CONTINUE
444*
445* Print a summary of the results.
446*
447 CALL alasum( path, nout, nfail, nrun, nerrs )
448*
449 9999 FORMAT( ' M=', i5, ', N=', i5, ', K=', i5, ', NB=', i4, ', NX=',
450 \$ i5, ', type ', i2, ', test(', i2, ')=', g12.5 )
451 RETURN
452*
453* End of ZCHKQR
454*
455 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 zqrt02(M, N, K, A, AF, Q, R, LDA, TAU, WORK, LWORK, RWORK, RESULT)
ZQRT02
Definition: zqrt02.f:135
subroutine zqrt03(M, N, K, AF, C, CC, Q, LDA, TAU, WORK, LWORK, RWORK, RESULT)
ZQRT03
Definition: zqrt03.f:136
subroutine zqrt01(M, N, A, AF, Q, R, LDA, TAU, WORK, LWORK, RWORK, RESULT)
ZQRT01
Definition: zqrt01.f:126
subroutine zlatb4(PATH, IMAT, M, N, TYPE, KL, KU, ANORM, MODE, CNDNUM, DIST)
ZLATB4
Definition: zlatb4.f:121
subroutine zchkqr(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)
ZCHKQR
Definition: zchkqr.f:201
subroutine zgeqrs(M, N, NRHS, A, LDA, TAU, B, LDB, WORK, LWORK, INFO)
ZGEQRS
Definition: zgeqrs.f:121
subroutine zqrt01p(M, N, A, AF, Q, R, LDA, TAU, WORK, LWORK, RWORK, RESULT)
ZQRT01P
Definition: zqrt01p.f:126
subroutine zerrqr(PATH, NUNIT)
ZERRQR
Definition: zerrqr.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