LAPACK 3.12.0
LAPACK: Linear Algebra PACKage
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schkqr.f
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1*> \brief \b SCHKQR
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 SCHKQR( 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* REAL THRESH
19* ..
20* .. Array Arguments ..
21* LOGICAL DOTYPE( * )
22* INTEGER IWORK( * ), MVAL( * ), NBVAL( * ), NVAL( * ),
23* $ NXVAL( * )
24* REAL A( * ), AC( * ), AF( * ), AQ( * ), AR( * ),
25* $ B( * ), RWORK( * ), TAU( * ), WORK( * ),
26* $ X( * ), XACT( * )
27* ..
28*
29*
30*> \par Purpose:
31* =============
32*>
33*> \verbatim
34*>
35*> SCHKQR tests SGEQRF, SORGQR and SORMQR.
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 REAL
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 REAL array, dimension (NMAX*NMAX)
124*> \endverbatim
125*>
126*> \param[out] AF
127*> \verbatim
128*> AF is REAL array, dimension (NMAX*NMAX)
129*> \endverbatim
130*>
131*> \param[out] AQ
132*> \verbatim
133*> AQ is REAL array, dimension (NMAX*NMAX)
134*> \endverbatim
135*>
136*> \param[out] AR
137*> \verbatim
138*> AR is REAL array, dimension (NMAX*NMAX)
139*> \endverbatim
140*>
141*> \param[out] AC
142*> \verbatim
143*> AC is REAL array, dimension (NMAX*NMAX)
144*> \endverbatim
145*>
146*> \param[out] B
147*> \verbatim
148*> B is REAL array, dimension (NMAX*NRHS)
149*> \endverbatim
150*>
151*> \param[out] X
152*> \verbatim
153*> X is REAL array, dimension (NMAX*NRHS)
154*> \endverbatim
155*>
156*> \param[out] XACT
157*> \verbatim
158*> XACT is REAL array, dimension (NMAX*NRHS)
159*> \endverbatim
160*>
161*> \param[out] TAU
162*> \verbatim
163*> TAU is REAL array, dimension (NMAX)
164*> \endverbatim
165*>
166*> \param[out] WORK
167*> \verbatim
168*> WORK is REAL array, dimension (NMAX*NMAX)
169*> \endverbatim
170*>
171*> \param[out] RWORK
172*> \verbatim
173*> RWORK is REAL 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 single_lin
196*
197* =====================================================================
198 SUBROUTINE schkqr( 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 REAL THRESH
210* ..
211* .. Array Arguments ..
212 LOGICAL DOTYPE( * )
213 INTEGER IWORK( * ), MVAL( * ), NBVAL( * ), NVAL( * ),
214 $ nxval( * )
215 REAL A( * ), AC( * ), AF( * ), AQ( * ), AR( * ),
216 $ B( * ), RWORK( * ), TAU( * ), WORK( * ),
217 $ x( * ), xact( * )
218* ..
219*
220* =====================================================================
221*
222* .. Parameters ..
223 INTEGER NTESTS
224 PARAMETER ( NTESTS = 9 )
225 INTEGER NTYPES
226 parameter( ntypes = 8 )
227 REAL ZERO
228 parameter( zero = 0.0e0 )
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 REAL ANORM, CNDNUM
237* ..
238* .. Local Arrays ..
239 INTEGER ISEED( 4 ), ISEEDY( 4 ), KVAL( 4 )
240 REAL RESULT( NTESTS )
241* ..
242* .. External Functions ..
243 LOGICAL SGENND
244 EXTERNAL SGENND
245* ..
246* .. External Subroutines ..
247 EXTERNAL alaerh, alahd, alasum, serrqr, sgels, sget02,
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 ) = 'Single 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 serrqr( 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 SLATB4 and generate a test matrix
307* with SLATMS.
308*
309 CALL slatb4( path, imat, m, n, TYPE, kl, ku, anorm, mode,
310 $ cndnum, dist )
311*
312 srnamt = 'SLATMS'
313 CALL slatms( 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 SLATMS.
318*
319 IF( info.NE.0 ) THEN
320 CALL alaerh( path, 'SLATMS', 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 SQRT01; other values are
327* used in the calls of SQRT02, 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 SGEQRF
362*
363 CALL sqrt01( m, n, a, af, aq, ar, lda, tau,
364 $ work, lwork, rwork, result( 1 ) )
365*
366* Test SGEQRFP
367*
368 CALL sqrt01p( m, n, a, af, aq, ar, lda, tau,
369 $ work, lwork, rwork, result( 8 ) )
370
371 IF( .NOT. sgennd( m, n, af, lda ) )
372 $ result( 9 ) = 2*thresh
373 nt = nt + 1
374 ELSE IF( m.GE.n ) THEN
375*
376* Test SORGQR, using factorization
377* returned by SQRT01
378*
379 CALL sqrt02( 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 SORMQR, using factorization returned
385* by SQRT01
386*
387 CALL sqrt03( 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 SGELS 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 = 'SLARHS'
401 CALL slarhs( path, 'New', 'Full',
402 $ 'No transpose', m, n, 0, 0,
403 $ nrhs, a, lda, xact, lda, b, lda,
404 $ iseed, info )
405*
406 CALL slacpy( 'Full', m, nrhs, b, lda, x,
407 $ lda )
408*
409* Reset AF to the original matrix. SGELS
410* factors the matrix before solving the system.
411*
412 CALL slacpy( 'Full', m, n, a, lda, af, lda )
413*
414 srnamt = 'SGELS'
415 CALL sgels( 'No transpose', m, n, nrhs, af,
416 $ lda, x, lda, work, lwork, info )
417*
418* Check error code from SGELS.
419*
420 IF( info.NE.0 )
421 $ CALL alaerh( path, 'SGELS', info, 0, 'N',
422 $ m, n, nrhs, -1, nb, imat,
423 $ nfail, nerrs, nout )
424*
425 CALL sget02( 'No transpose', m, n, nrhs, a,
426 $ lda, x, lda, b, lda, rwork,
427 $ result( 7 ) )
428 nt = nt + 1
429 END IF
430 END IF
431*
432* Print information about the tests that did not
433* pass the threshold.
434*
435 DO 20 i = 1, ntests
436 IF( result( i ).GE.thresh ) THEN
437 IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
438 $ CALL alahd( nout, path )
439 WRITE( nout, fmt = 9999 )m, n, k, nb, nx,
440 $ imat, i, result( i )
441 nfail = nfail + 1
442 END IF
443 20 CONTINUE
444 nrun = nrun + ntests
445 30 CONTINUE
446 40 CONTINUE
447 50 CONTINUE
448 60 CONTINUE
449 70 CONTINUE
450*
451* Print a summary of the results.
452*
453 CALL alasum( path, nout, nfail, nrun, nerrs )
454*
455 9999 FORMAT( ' M=', i5, ', N=', i5, ', K=', i5, ', NB=', i4, ', NX=',
456 $ i5, ', type ', i2, ', test(', i2, ')=', g12.5 )
457 RETURN
458*
459* End of SCHKQR
460*
461 END
subroutine alasum(type, nout, nfail, nrun, nerrs)
ALASUM
Definition alasum.f:73
subroutine sget02(trans, m, n, nrhs, a, lda, x, ldx, b, ldb, rwork, resid)
SGET02
Definition sget02.f:135
subroutine slarhs(path, xtype, uplo, trans, m, n, kl, ku, nrhs, a, lda, x, ldx, b, ldb, iseed, info)
SLARHS
Definition slarhs.f:205
subroutine xlaenv(ispec, nvalue)
XLAENV
Definition xlaenv.f:81
subroutine alaerh(path, subnam, info, infoe, opts, m, n, kl, ku, n5, imat, nfail, nerrs, nout)
ALAERH
Definition alaerh.f:147
subroutine alahd(iounit, path)
ALAHD
Definition alahd.f:107
subroutine sgels(trans, m, n, nrhs, a, lda, b, ldb, work, lwork, info)
SGELS solves overdetermined or underdetermined systems for GE matrices
Definition sgels.f:183
subroutine slacpy(uplo, m, n, a, lda, b, ldb)
SLACPY copies all or part of one two-dimensional array to another.
Definition slacpy.f:103
subroutine schkqr(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)
SCHKQR
Definition schkqr.f:201
subroutine serrqr(path, nunit)
SERRQR
Definition serrqr.f:55
subroutine slatb4(path, imat, m, n, type, kl, ku, anorm, mode, cndnum, dist)
SLATB4
Definition slatb4.f:120
subroutine slatms(m, n, dist, iseed, sym, d, mode, cond, dmax, kl, ku, pack, a, lda, work, info)
SLATMS
Definition slatms.f:321
subroutine sqrt01(m, n, a, af, q, r, lda, tau, work, lwork, rwork, result)
SQRT01
Definition sqrt01.f:126
subroutine sqrt01p(m, n, a, af, q, r, lda, tau, work, lwork, rwork, result)
SQRT01P
Definition sqrt01p.f:126
subroutine sqrt02(m, n, k, a, af, q, r, lda, tau, work, lwork, rwork, result)
SQRT02
Definition sqrt02.f:135
subroutine sqrt03(m, n, k, af, c, cc, q, lda, tau, work, lwork, rwork, result)
SQRT03
Definition sqrt03.f:136