LAPACK 3.12.1
LAPACK: Linear Algebra PACKage
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schksy_aa_2stage.f
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1*> \brief \b SCHKSY_AA_2STAGE
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 SCHKSY_AA_2STAGE( DOTYPE, NN, NVAL, NNB, NBVAL,
12* NNS, NSVAL, THRESH, TSTERR, NMAX, A,
13* AFAC, AINV, B, X, XACT, WORK, RWORK,
14* IWORK, NOUT )
15*
16* .. Scalar Arguments ..
17* LOGICAL TSTERR
18* INTEGER NMAX, NN, NNB, NNS, NOUT
19* REAL THRESH
20* ..
21* .. Array Arguments ..
22* LOGICAL DOTYPE( * )
23* INTEGER IWORK( * ), NBVAL( * ), NSVAL( * ), NVAL( * )
24* REAL A( * ), AFAC( * ), AINV( * ), B( * ),
25* $ RWORK( * ), WORK( * ), X( * ), XACT( * )
26* ..
27*
28*
29*> \par Purpose:
30* =============
31*>
32*> \verbatim
33*>
34*> SCHKSY_AA_2STAGE tests SSYTRF_AA_2STAGE, -TRS_AA_2STAGE.
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] NNB
61*> \verbatim
62*> NNB is INTEGER
63*> The number of values of NB contained in the vector NBVAL.
64*> \endverbatim
65*>
66*> \param[in] NBVAL
67*> \verbatim
68*> NBVAL is INTEGER array, dimension (NNB)
69*> The values of the blocksize NB.
70*> \endverbatim
71*>
72*> \param[in] NNS
73*> \verbatim
74*> NNS is INTEGER
75*> The number of values of NRHS contained in the vector NSVAL.
76*> \endverbatim
77*>
78*> \param[in] NSVAL
79*> \verbatim
80*> NSVAL is INTEGER array, dimension (NNS)
81*> The values of the number of right hand sides NRHS.
82*> \endverbatim
83*>
84*> \param[in] THRESH
85*> \verbatim
86*> THRESH is REAL
87*> The threshold value for the test ratios. A result is
88*> included in the output file if RESULT >= THRESH. To have
89*> every test ratio printed, use THRESH = 0.
90*> \endverbatim
91*>
92*> \param[in] TSTERR
93*> \verbatim
94*> TSTERR is LOGICAL
95*> Flag that indicates whether error exits are to be tested.
96*> \endverbatim
97*>
98*> \param[in] NMAX
99*> \verbatim
100*> NMAX is INTEGER
101*> The maximum value permitted for N, used in dimensioning the
102*> work arrays.
103*> \endverbatim
104*>
105*> \param[out] A
106*> \verbatim
107*> A is REAL array, dimension (NMAX*NMAX)
108*> \endverbatim
109*>
110*> \param[out] AFAC
111*> \verbatim
112*> AFAC is REAL array, dimension (NMAX*NMAX)
113*> \endverbatim
114*>
115*> \param[out] AINV
116*> \verbatim
117*> AINV is REAL array, dimension (NMAX*NMAX)
118*> \endverbatim
119*>
120*> \param[out] B
121*> \verbatim
122*> B is REAL array, dimension (NMAX*NSMAX)
123*> where NSMAX is the largest entry in NSVAL.
124*> \endverbatim
125*>
126*> \param[out] X
127*> \verbatim
128*> X is REAL array, dimension (NMAX*NSMAX)
129*> \endverbatim
130*>
131*> \param[out] XACT
132*> \verbatim
133*> XACT is REAL array, dimension (NMAX*NSMAX)
134*> \endverbatim
135*>
136*> \param[out] WORK
137*> \verbatim
138*> WORK is REAL array, dimension (NMAX*max(3,NSMAX))
139*> \endverbatim
140*>
141*> \param[out] RWORK
142*> \verbatim
143*> RWORK is REAL array, dimension (max(NMAX,2*NSMAX))
144*> \endverbatim
145*>
146*> \param[out] IWORK
147*> \verbatim
148*> IWORK is INTEGER array, dimension (2*NMAX)
149*> \endverbatim
150*>
151*> \param[in] NOUT
152*> \verbatim
153*> NOUT is INTEGER
154*> The unit number for output.
155*> \endverbatim
156*
157* Authors:
158* ========
159*
160*> \author Univ. of Tennessee
161*> \author Univ. of California Berkeley
162*> \author Univ. of Colorado Denver
163*> \author NAG Ltd.
164*
165*> \ingroup real_lin
166*
167* =====================================================================
168 SUBROUTINE schksy_aa_2stage( DOTYPE, NN, NVAL, NNB, NBVAL, NNS,
169 $ NSVAL, THRESH, TSTERR, NMAX, A, AFAC, AINV,
170 $ B, X, XACT, WORK, RWORK, IWORK, NOUT )
171*
172* -- LAPACK test routine --
173* -- LAPACK is a software package provided by Univ. of Tennessee, --
174* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
175*
176 IMPLICIT NONE
177*
178* .. Scalar Arguments ..
179 LOGICAL TSTERR
180 INTEGER NN, NNB, NNS, NMAX, NOUT
181 REAL THRESH
182* ..
183* .. Array Arguments ..
184 LOGICAL DOTYPE( * )
185 INTEGER IWORK( * ), NBVAL( * ), NSVAL( * ), NVAL( * )
186 REAL A( * ), AFAC( * ), AINV( * ), B( * ),
187 $ rwork( * ), work( * ), x( * ), xact( * )
188* ..
189*
190* =====================================================================
191*
192* .. Parameters ..
193 REAL ZERO
194 PARAMETER ( ZERO = 0.0e+0 )
195 INTEGER NTYPES
196 parameter( ntypes = 10 )
197 INTEGER NTESTS
198 parameter( ntests = 9 )
199* ..
200* .. Local Scalars ..
201 LOGICAL ZEROT
202 CHARACTER DIST, TYPE, UPLO, XTYPE
203 CHARACTER*3 PATH, MATPATH
204 INTEGER I, I1, I2, IMAT, IN, INB, INFO, IOFF, IRHS,
205 $ iuplo, izero, j, k, kl, ku, lda, lwork, mode,
206 $ n, nb, nerrs, nfail, nimat, nrhs, nrun, nt
207 REAL ANORM, CNDNUM
208* ..
209* .. Local Arrays ..
210 CHARACTER UPLOS( 2 )
211 INTEGER ISEED( 4 ), ISEEDY( 4 )
212 REAL RESULT( NTESTS )
213* ..
214* .. External Subroutines ..
215 EXTERNAL alaerh, alahd, alasum, serrsy, slacpy, slarhs,
216 $ slatb4, slatms, spot02, ssyt01_aa,
217 $ ssytrf_aa_2stage, ssytrs_aa_2stage,
218 $ xlaenv
219* ..
220* .. Intrinsic Functions ..
221 INTRINSIC max, min
222* ..
223* .. Scalars in Common ..
224 LOGICAL LERR, OK
225 CHARACTER*32 SRNAMT
226 INTEGER INFOT, NUNIT
227* ..
228* .. Common blocks ..
229 COMMON / infoc / infot, nunit, ok, lerr
230 COMMON / srnamc / srnamt
231* ..
232* .. Data statements ..
233 DATA iseedy / 1988, 1989, 1990, 1991 /
234 DATA uplos / 'U', 'L' /
235* ..
236* .. Executable Statements ..
237*
238* Initialize constants and the random number seed.
239*
240*
241* Test path
242*
243 path( 1: 1 ) = 'Single precision'
244 path( 2: 3 ) = 'S2'
245*
246* Path to generate matrices
247*
248 matpath( 1: 1 ) = 'Single precision'
249 matpath( 2: 3 ) = 'SY'
250 nrun = 0
251 nfail = 0
252 nerrs = 0
253 DO 10 i = 1, 4
254 iseed( i ) = iseedy( i )
255 10 CONTINUE
256*
257* Test the error exits
258*
259 IF( tsterr )
260 $ CALL serrsy( path, nout )
261 infot = 0
262*
263* Set the minimum block size for which the block routine should
264* be used, which will be later returned by ILAENV
265*
266 CALL xlaenv( 2, 2 )
267*
268* Do for each value of N in NVAL
269*
270 DO 180 in = 1, nn
271 n = nval( in )
272 IF( n .GT. nmax ) THEN
273 nfail = nfail + 1
274 WRITE(nout, 9995) 'M ', n, nmax
275 GO TO 180
276 END IF
277 lda = max( n, 1 )
278 xtype = 'N'
279 nimat = ntypes
280 IF( n.LE.0 )
281 $ nimat = 1
282*
283 izero = 0
284*
285* Do for each value of matrix type IMAT
286*
287 DO 170 imat = 1, nimat
288*
289* Do the tests only if DOTYPE( IMAT ) is true.
290*
291 IF( .NOT.dotype( imat ) )
292 $ GO TO 170
293*
294* Skip types 3, 4, 5, or 6 if the matrix size is too small.
295*
296 zerot = imat.GE.3 .AND. imat.LE.6
297 IF( zerot .AND. n.LT.imat-2 )
298 $ GO TO 170
299*
300* Do first for UPLO = 'U', then for UPLO = 'L'
301*
302 DO 160 iuplo = 1, 2
303 uplo = uplos( iuplo )
304*
305* Begin generate the test matrix A.
306*
307*
308* Set up parameters with SLATB4 for the matrix generator
309* based on the type of matrix to be generated.
310*
311 CALL slatb4( matpath, imat, n, n, TYPE, kl, ku,
312 $ anorm, mode, cndnum, dist )
313*
314* Generate a matrix with SLATMS.
315*
316 srnamt = 'SLATMS'
317 CALL slatms( n, n, dist, iseed, TYPE, rwork, mode,
318 $ cndnum, anorm, kl, ku, uplo, a, lda, work,
319 $ info )
320*
321* Check error code from SLATMS and handle error.
322*
323 IF( info.NE.0 ) THEN
324 CALL alaerh( path, 'SLATMS', info, 0, uplo, n, n, -1,
325 $ -1, -1, imat, nfail, nerrs, nout )
326*
327* Skip all tests for this generated matrix
328*
329 GO TO 160
330 END IF
331*
332* For matrix types 3-6, zero one or more rows and
333* columns of the matrix to test that INFO is returned
334* correctly.
335*
336 IF( zerot ) THEN
337 IF( imat.EQ.3 ) THEN
338 izero = 1
339 ELSE IF( imat.EQ.4 ) THEN
340 izero = n
341 ELSE
342 izero = n / 2 + 1
343 END IF
344*
345 IF( imat.LT.6 ) THEN
346*
347* Set row and column IZERO to zero.
348*
349 IF( iuplo.EQ.1 ) THEN
350 ioff = ( izero-1 )*lda
351 DO 20 i = 1, izero - 1
352 a( ioff+i ) = zero
353 20 CONTINUE
354 ioff = ioff + izero
355 DO 30 i = izero, n
356 a( ioff ) = zero
357 ioff = ioff + lda
358 30 CONTINUE
359 ELSE
360 ioff = izero
361 DO 40 i = 1, izero - 1
362 a( ioff ) = zero
363 ioff = ioff + lda
364 40 CONTINUE
365 ioff = ioff - izero
366 DO 50 i = izero, n
367 a( ioff+i ) = zero
368 50 CONTINUE
369 END IF
370 ELSE
371 IF( iuplo.EQ.1 ) THEN
372*
373* Set the first IZERO rows and columns to zero.
374*
375 ioff = 0
376 DO 70 j = 1, n
377 i2 = min( j, izero )
378 DO 60 i = 1, i2
379 a( ioff+i ) = zero
380 60 CONTINUE
381 ioff = ioff + lda
382 70 CONTINUE
383 izero = 1
384 ELSE
385*
386* Set the last IZERO rows and columns to zero.
387*
388 ioff = 0
389 DO 90 j = 1, n
390 i1 = max( j, izero )
391 DO 80 i = i1, n
392 a( ioff+i ) = zero
393 80 CONTINUE
394 ioff = ioff + lda
395 90 CONTINUE
396 END IF
397 END IF
398 ELSE
399 izero = 0
400 END IF
401*
402* End generate the test matrix A.
403*
404* Do for each value of NB in NBVAL
405*
406 DO 150 inb = 1, nnb
407*
408* Set the optimal blocksize, which will be later
409* returned by ILAENV.
410*
411 nb = nbval( inb )
412 CALL xlaenv( 1, nb )
413*
414* Copy the test matrix A into matrix AFAC which
415* will be factorized in place. This is needed to
416* preserve the test matrix A for subsequent tests.
417*
418 CALL slacpy( uplo, n, n, a, lda, afac, lda )
419*
420* Compute the L*D*L**T or U*D*U**T factorization of the
421* matrix. IWORK stores details of the interchanges and
422* the block structure of D. AINV is a work array for
423* block factorization, LWORK is the length of AINV.
424*
425 srnamt = 'SSYTRF_AA_2STAGE'
426 lwork = min( max( 1, n*nb ), 3*nmax*nmax )
427 CALL ssytrf_aa_2stage( uplo, n, afac, lda,
428 $ ainv, max( 1, (3*nb+1)*n ),
429 $ iwork, iwork( 1+n ),
430 $ work, lwork,
431 $ info )
432*
433* Adjust the expected value of INFO to account for
434* pivoting.
435*
436 IF( izero.GT.0 ) THEN
437 j = 1
438 k = izero
439 100 CONTINUE
440 IF( j.EQ.k ) THEN
441 k = iwork( j )
442 ELSE IF( iwork( j ).EQ.k ) THEN
443 k = j
444 END IF
445 IF( j.LT.k ) THEN
446 j = j + 1
447 GO TO 100
448 END IF
449 ELSE
450 k = 0
451 END IF
452*
453* Check error code from SSYTRF and handle error.
454*
455 IF( info.NE.k ) THEN
456 CALL alaerh( path, 'SSYTRF_AA_2STAGE', info, k,
457 $ uplo, n, n, -1, -1, nb, imat, nfail,
458 $ nerrs, nout )
459 END IF
460*
461*+ TEST 1
462* Reconstruct matrix from factors and compute residual.
463*
464* CALL SSYT01_AA( UPLO, N, A, LDA, AFAC, LDA, IWORK,
465* $ AINV, LDA, RWORK, RESULT( 1 ) )
466* NT = 1
467 nt = 0
468*
469*
470* Print information about the tests that did not pass
471* the threshold.
472*
473 DO 110 k = 1, nt
474 IF( result( k ).GE.thresh ) THEN
475 IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
476 $ CALL alahd( nout, path )
477 WRITE( nout, fmt = 9999 )uplo, n, nb, imat, k,
478 $ result( k )
479 nfail = nfail + 1
480 END IF
481 110 CONTINUE
482 nrun = nrun + nt
483*
484* Skip solver test if INFO is not 0.
485*
486 IF( info.NE.0 ) THEN
487 GO TO 140
488 END IF
489*
490* Do for each value of NRHS in NSVAL.
491*
492 DO 130 irhs = 1, nns
493 nrhs = nsval( irhs )
494*
495*+ TEST 2 (Using TRS)
496* Solve and compute residual for A * X = B.
497*
498* Choose a set of NRHS random solution vectors
499* stored in XACT and set up the right hand side B
500*
501 srnamt = 'SLARHS'
502 CALL slarhs( matpath, xtype, uplo, ' ', n, n,
503 $ kl, ku, nrhs, a, lda, xact, lda,
504 $ b, lda, iseed, info )
505 CALL slacpy( 'Full', n, nrhs, b, lda, x, lda )
506*
507 srnamt = 'SSYTRS_AA_2STAGE'
508 CALL ssytrs_aa_2stage( uplo, n, nrhs, afac, lda,
509 $ ainv, (3*nb+1)*n, iwork, iwork( 1+n ),
510 $ x, lda, info )
511*
512* Check error code from SSYTRS and handle error.
513*
514 IF( info.NE.0 ) THEN
515 IF( izero.EQ.0 ) THEN
516 CALL alaerh( path, 'SSYTRS_AA_2STAGE',
517 $ info, 0, uplo, n, n, -1, -1,
518 $ nrhs, imat, nfail, nerrs, nout )
519 END IF
520 ELSE
521 CALL slacpy( 'Full', n, nrhs, b, lda, work, lda
522 $ )
523*
524* Compute the residual for the solution
525*
526 CALL spot02( uplo, n, nrhs, a, lda, x, lda,
527 $ work, lda, rwork, result( 2 ) )
528*
529*
530* Print information about the tests that did not pass
531* the threshold.
532*
533 DO 120 k = 2, 2
534 IF( result( k ).GE.thresh ) THEN
535 IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
536 $ CALL alahd( nout, path )
537 WRITE( nout, fmt = 9998 )uplo, n, nrhs,
538 $ imat, k, result( k )
539 nfail = nfail + 1
540 END IF
541 120 CONTINUE
542 END IF
543 nrun = nrun + 1
544*
545* End do for each value of NRHS in NSVAL.
546*
547 130 CONTINUE
548 140 CONTINUE
549 150 CONTINUE
550 160 CONTINUE
551 170 CONTINUE
552 180 CONTINUE
553*
554* Print a summary of the results.
555*
556 CALL alasum( path, nout, nfail, nrun, nerrs )
557*
558 9999 FORMAT( ' UPLO = ''', a1, ''', N =', i5, ', NB =', i4, ', type ',
559 $ i2, ', test ', i2, ', ratio =', g12.5 )
560 9998 FORMAT( ' UPLO = ''', a1, ''', N =', i5, ', NRHS=', i3, ', type ',
561 $ i2, ', test(', i2, ') =', g12.5 )
562 9995 FORMAT( ' Invalid input value: ', a4, '=', i6, '; must be <=',
563 $ i6 )
564 RETURN
565*
566* End of SCHKSY_AA_2STAGE
567*
568 END
alasum
subroutine alasum(type, nout, nfail, nrun, nerrs)
ALASUM
Definition alasum.f:73
slarhs
subroutine slarhs(path, xtype, uplo, trans, m, n, kl, ku, nrhs, a, lda, x, ldx, b, ldb, iseed, info)
SLARHS
Definition slarhs.f:205
xlaenv
subroutine xlaenv(ispec, nvalue)
XLAENV
Definition xlaenv.f:81
alaerh
subroutine alaerh(path, subnam, info, infoe, opts, m, n, kl, ku, n5, imat, nfail, nerrs, nout)
ALAERH
Definition alaerh.f:147
alahd
subroutine alahd(iounit, path)
ALAHD
Definition alahd.f:107
ssytrf_aa_2stage
subroutine ssytrf_aa_2stage(uplo, n, a, lda, tb, ltb, ipiv, ipiv2, work, lwork, info)
SSYTRF_AA_2STAGE
Definition ssytrf_aa_2stage.f:158
ssytrs_aa_2stage
subroutine ssytrs_aa_2stage(uplo, n, nrhs, a, lda, tb, ltb, ipiv, ipiv2, b, ldb, info)
SSYTRS_AA_2STAGE
Definition ssytrs_aa_2stage.f:137
slacpy
subroutine slacpy(uplo, m, n, a, lda, b, ldb)
SLACPY copies all or part of one two-dimensional array to another.
Definition slacpy.f:101
schksy_aa_2stage
subroutine schksy_aa_2stage(dotype, nn, nval, nnb, nbval, nns, nsval, thresh, tsterr, nmax, a, afac, ainv, b, x, xact, work, rwork, iwork, nout)
SCHKSY_AA_2STAGE
Definition schksy_aa_2stage.f:171
serrsy
subroutine serrsy(path, nunit)
SERRSY
Definition serrsy.f:55
slatb4
subroutine slatb4(path, imat, m, n, type, kl, ku, anorm, mode, cndnum, dist)
SLATB4
Definition slatb4.f:120
slatms
subroutine slatms(m, n, dist, iseed, sym, d, mode, cond, dmax, kl, ku, pack, a, lda, work, info)
SLATMS
Definition slatms.f:321
spot02
subroutine spot02(uplo, n, nrhs, a, lda, x, ldx, b, ldb, rwork, resid)
SPOT02
Definition spot02.f:127
ssyt01_aa
subroutine ssyt01_aa(uplo, n, a, lda, afac, ldafac, ipiv, c, ldc, rwork, resid)
SSYT01_AA
Definition ssyt01_aa.f:124