LAPACK 3.12.0
LAPACK: Linear Algebra PACKage
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dchksy_aa_2stage.f
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1*> \brief \b DCHKSY_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 DCHKSY_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* DOUBLE PRECISION THRESH
20* ..
21* .. Array Arguments ..
22* LOGICAL DOTYPE( * )
23* INTEGER IWORK( * ), NBVAL( * ), NSVAL( * ), NVAL( * )
24* DOUBLE PRECISION A( * ), AFAC( * ), AINV( * ), B( * ),
25* $ RWORK( * ), WORK( * ), X( * ), XACT( * )
26* ..
27*
28*
29*> \par Purpose:
30* =============
31*>
32*> \verbatim
33*>
34*> DCHKSY_AA_2STAGE tests DSYTRF_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 DOUBLE PRECISION
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 DOUBLE PRECISION array, dimension (NMAX*NMAX)
108*> \endverbatim
109*>
110*> \param[out] AFAC
111*> \verbatim
112*> AFAC is DOUBLE PRECISION array, dimension (NMAX*NMAX)
113*> \endverbatim
114*>
115*> \param[out] AINV
116*> \verbatim
117*> AINV is DOUBLE PRECISION array, dimension (NMAX*NMAX)
118*> \endverbatim
119*>
120*> \param[out] B
121*> \verbatim
122*> B is DOUBLE PRECISION 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 DOUBLE PRECISION array, dimension (NMAX*NSMAX)
129*> \endverbatim
130*>
131*> \param[out] XACT
132*> \verbatim
133*> XACT is DOUBLE PRECISION array, dimension (NMAX*NSMAX)
134*> \endverbatim
135*>
136*> \param[out] WORK
137*> \verbatim
138*> WORK is DOUBLE PRECISION array, dimension (NMAX*max(3,NSMAX))
139*> \endverbatim
140*>
141*> \param[out] RWORK
142*> \verbatim
143*> RWORK is DOUBLE PRECISION 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 double_lin
166*
167* =====================================================================
168 SUBROUTINE dchksy_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 DOUBLE PRECISION THRESH
182* ..
183* .. Array Arguments ..
184 LOGICAL DOTYPE( * )
185 INTEGER IWORK( * ), NBVAL( * ), NSVAL( * ), NVAL( * )
186 DOUBLE PRECISION A( * ), AFAC( * ), AINV( * ), B( * ),
187 $ rwork( * ), work( * ), x( * ), xact( * )
188* ..
189*
190* =====================================================================
191*
192* .. Parameters ..
193 DOUBLE PRECISION ZERO, ONE
194 PARAMETER ( ZERO = 0.0d+0, one = 1.0d+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 DOUBLE PRECISION ANORM, CNDNUM
208* ..
209* .. Local Arrays ..
210 CHARACTER UPLOS( 2 )
211 INTEGER ISEED( 4 ), ISEEDY( 4 )
212 DOUBLE PRECISION RESULT( NTESTS )
213* ..
214* .. External Subroutines ..
215 EXTERNAL alaerh, alahd, alasum, derrsy, dlacpy, dlarhs,
216 $ dlatb4, dlatms, dpot02, dsytrf_aa_2stage,
217 $ dsytrs_aa_2stage, xlaenv
218* ..
219* .. Intrinsic Functions ..
220 INTRINSIC max, min
221* ..
222* .. Scalars in Common ..
223 LOGICAL LERR, OK
224 CHARACTER*32 SRNAMT
225 INTEGER INFOT, NUNIT
226* ..
227* .. Common blocks ..
228 COMMON / infoc / infot, nunit, ok, lerr
229 COMMON / srnamc / srnamt
230* ..
231* .. Data statements ..
232 DATA iseedy / 1988, 1989, 1990, 1991 /
233 DATA uplos / 'U', 'L' /
234* ..
235* .. Executable Statements ..
236*
237* Initialize constants and the random number seed.
238*
239* Test path
240*
241 path( 1: 1 ) = 'Double precision'
242 path( 2: 3 ) = 'S2'
243*
244* Path to generate matrices
245*
246 matpath( 1: 1 ) = 'Double precision'
247 matpath( 2: 3 ) = 'SY'
248 nrun = 0
249 nfail = 0
250 nerrs = 0
251 DO 10 i = 1, 4
252 iseed( i ) = iseedy( i )
253 10 CONTINUE
254*
255* Test the error exits
256*
257 IF( tsterr )
258 $ CALL derrsy( path, nout )
259 infot = 0
260*
261* Set the minimum block size for which the block routine should
262* be used, which will be later returned by ILAENV
263*
264 CALL xlaenv( 2, 2 )
265*
266* Do for each value of N in NVAL
267*
268 DO 180 in = 1, nn
269 n = nval( in )
270 IF( n .GT. nmax ) THEN
271 nfail = nfail + 1
272 WRITE(nout, 9995) 'M ', n, nmax
273 GO TO 180
274 END IF
275 lda = max( n, 1 )
276 xtype = 'N'
277 nimat = ntypes
278 IF( n.LE.0 )
279 $ nimat = 1
280*
281 izero = 0
282*
283* Do for each value of matrix type IMAT
284*
285 DO 170 imat = 1, nimat
286*
287* Do the tests only if DOTYPE( IMAT ) is true.
288*
289 IF( .NOT.dotype( imat ) )
290 $ GO TO 170
291*
292* Skip types 3, 4, 5, or 6 if the matrix size is too small.
293*
294 zerot = imat.GE.3 .AND. imat.LE.6
295 IF( zerot .AND. n.LT.imat-2 )
296 $ GO TO 170
297*
298* Do first for UPLO = 'U', then for UPLO = 'L'
299*
300 DO 160 iuplo = 1, 2
301 uplo = uplos( iuplo )
302*
303* Begin generate the test matrix A.
304*
305*
306* Set up parameters with DLATB4 for the matrix generator
307* based on the type of matrix to be generated.
308*
309 CALL dlatb4( matpath, imat, n, n, TYPE, kl, ku,
310 $ anorm, mode, cndnum, dist )
311*
312* Generate a matrix with DLATMS.
313*
314 srnamt = 'DLATMS'
315 CALL dlatms( n, n, dist, iseed, TYPE, rwork, mode,
316 $ cndnum, anorm, kl, ku, uplo, a, lda, work,
317 $ info )
318*
319* Check error code from DLATMS and handle error.
320*
321 IF( info.NE.0 ) THEN
322 CALL alaerh( path, 'DLATMS', info, 0, uplo, n, n, -1,
323 $ -1, -1, imat, nfail, nerrs, nout )
324*
325* Skip all tests for this generated matrix
326*
327 GO TO 160
328 END IF
329*
330* For matrix types 3-6, zero one or more rows and
331* columns of the matrix to test that INFO is returned
332* correctly.
333*
334 IF( zerot ) THEN
335 IF( imat.EQ.3 ) THEN
336 izero = 1
337 ELSE IF( imat.EQ.4 ) THEN
338 izero = n
339 ELSE
340 izero = n / 2 + 1
341 END IF
342*
343 IF( imat.LT.6 ) THEN
344*
345* Set row and column IZERO to zero.
346*
347 IF( iuplo.EQ.1 ) THEN
348 ioff = ( izero-1 )*lda
349 DO 20 i = 1, izero - 1
350 a( ioff+i ) = zero
351 20 CONTINUE
352 ioff = ioff + izero
353 DO 30 i = izero, n
354 a( ioff ) = zero
355 ioff = ioff + lda
356 30 CONTINUE
357 ELSE
358 ioff = izero
359 DO 40 i = 1, izero - 1
360 a( ioff ) = zero
361 ioff = ioff + lda
362 40 CONTINUE
363 ioff = ioff - izero
364 DO 50 i = izero, n
365 a( ioff+i ) = zero
366 50 CONTINUE
367 END IF
368 ELSE
369 IF( iuplo.EQ.1 ) THEN
370*
371* Set the first IZERO rows and columns to zero.
372*
373 ioff = 0
374 DO 70 j = 1, n
375 i2 = min( j, izero )
376 DO 60 i = 1, i2
377 a( ioff+i ) = zero
378 60 CONTINUE
379 ioff = ioff + lda
380 70 CONTINUE
381 izero = 1
382 ELSE
383*
384* Set the last IZERO rows and columns to zero.
385*
386 ioff = 0
387 DO 90 j = 1, n
388 i1 = max( j, izero )
389 DO 80 i = i1, n
390 a( ioff+i ) = zero
391 80 CONTINUE
392 ioff = ioff + lda
393 90 CONTINUE
394 END IF
395 END IF
396 ELSE
397 izero = 0
398 END IF
399*
400* End generate the test matrix A.
401*
402* Do for each value of NB in NBVAL
403*
404 DO 150 inb = 1, nnb
405*
406* Set the optimal blocksize, which will be later
407* returned by ILAENV.
408*
409 nb = nbval( inb )
410 CALL xlaenv( 1, nb )
411*
412* Copy the test matrix A into matrix AFAC which
413* will be factorized in place. This is needed to
414* preserve the test matrix A for subsequent tests.
415*
416 CALL dlacpy( uplo, n, n, a, lda, afac, lda )
417*
418* Compute the L*D*L**T or U*D*U**T factorization of the
419* matrix. IWORK stores details of the interchanges and
420* the block structure of D. AINV is a work array for
421* block factorization, LWORK is the length of AINV.
422*
423 srnamt = 'DSYTRF_AA_2STAGE'
424 lwork = min(n*nb, 3*nmax*nmax)
425 CALL dsytrf_aa_2stage( uplo, n, afac, lda,
426 $ ainv, (3*nb+1)*n,
427 $ iwork, iwork( 1+n ),
428 $ work, lwork,
429 $ info )
430*
431* Adjust the expected value of INFO to account for
432* pivoting.
433*
434 IF( izero.GT.0 ) THEN
435 j = 1
436 k = izero
437 100 CONTINUE
438 IF( j.EQ.k ) THEN
439 k = iwork( j )
440 ELSE IF( iwork( j ).EQ.k ) THEN
441 k = j
442 END IF
443 IF( j.LT.k ) THEN
444 j = j + 1
445 GO TO 100
446 END IF
447 ELSE
448 k = 0
449 END IF
450*
451* Check error code from DSYTRF and handle error.
452*
453 IF( info.NE.k ) THEN
454 CALL alaerh( path, 'DSYTRF_AA_2STAGE', info, k,
455 $ uplo, n, n, -1, -1, nb, imat, nfail,
456 $ nerrs, nout )
457 END IF
458*
459*+ TEST 1
460* Reconstruct matrix from factors and compute residual.
461*
462c CALL DSYT01_AA( UPLO, N, A, LDA, AFAC, LDA, IWORK,
463c $ AINV, LDA, RWORK, RESULT( 1 ) )
464c NT = 1
465 nt = 0
466*
467*
468* Print information about the tests that did not pass
469* the threshold.
470*
471 DO 110 k = 1, nt
472 IF( result( k ).GE.thresh ) THEN
473 IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
474 $ CALL alahd( nout, path )
475 WRITE( nout, fmt = 9999 )uplo, n, nb, imat, k,
476 $ result( k )
477 nfail = nfail + 1
478 END IF
479 110 CONTINUE
480 nrun = nrun + nt
481*
482* Skip solver test if INFO is not 0.
483*
484 IF( info.NE.0 ) THEN
485 GO TO 140
486 END IF
487*
488* Do for each value of NRHS in NSVAL.
489*
490 DO 130 irhs = 1, nns
491 nrhs = nsval( irhs )
492*
493*+ TEST 2 (Using TRS)
494* Solve and compute residual for A * X = B.
495*
496* Choose a set of NRHS random solution vectors
497* stored in XACT and set up the right hand side B
498*
499 srnamt = 'DLARHS'
500 CALL dlarhs( matpath, xtype, uplo, ' ', n, n,
501 $ kl, ku, nrhs, a, lda, xact, lda,
502 $ b, lda, iseed, info )
503 CALL dlacpy( 'Full', n, nrhs, b, lda, x, lda )
504*
505 srnamt = 'DSYTRS_AA_2STAGE'
506 lwork = max( 1, 3*n-2 )
507 CALL dsytrs_aa_2stage( uplo, n, nrhs, afac, lda,
508 $ ainv, (3*nb+1)*n, iwork, iwork( 1+n ),
509 $ x, lda, info )
510*
511* Check error code from DSYTRS and handle error.
512*
513 IF( info.NE.0 ) THEN
514 IF( izero.EQ.0 ) THEN
515 CALL alaerh( path, 'DSYTRS_AA_2STAGE',
516 $ info, 0, uplo, n, n, -1, -1,
517 $ nrhs, imat, nfail, nerrs, nout )
518 END IF
519 ELSE
520 CALL dlacpy( 'Full', n, nrhs, b, lda, work, lda
521 $ )
522*
523* Compute the residual for the solution
524*
525 CALL dpot02( uplo, n, nrhs, a, lda, x, lda,
526 $ work, lda, rwork, result( 2 ) )
527*
528*
529* Print information about the tests that did not pass
530* the threshold.
531*
532 DO 120 k = 2, 2
533 IF( result( k ).GE.thresh ) THEN
534 IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
535 $ CALL alahd( nout, path )
536 WRITE( nout, fmt = 9998 )uplo, n, nrhs,
537 $ imat, k, result( k )
538 nfail = nfail + 1
539 END IF
540 120 CONTINUE
541 END IF
542 nrun = nrun + 1
543*
544* End do for each value of NRHS in NSVAL.
545*
546 130 CONTINUE
547 140 CONTINUE
548 150 CONTINUE
549 160 CONTINUE
550 170 CONTINUE
551 180 CONTINUE
552*
553* Print a summary of the results.
554*
555 CALL alasum( path, nout, nfail, nrun, nerrs )
556*
557 9999 FORMAT( ' UPLO = ''', a1, ''', N =', i5, ', NB =', i4, ', type ',
558 $ i2, ', test ', i2, ', ratio =', g12.5 )
559 9998 FORMAT( ' UPLO = ''', a1, ''', N =', i5, ', NRHS=', i3, ', type ',
560 $ i2, ', test(', i2, ') =', g12.5 )
561 9995 FORMAT( ' Invalid input value: ', a4, '=', i6, '; must be <=',
562 $ i6 )
563 RETURN
564*
565* End of DCHKSY_AA_2STAGE
566*
567 END
alasum
subroutine alasum(type, nout, nfail, nrun, nerrs)
ALASUM
Definition alasum.f:73
dlarhs
subroutine dlarhs(path, xtype, uplo, trans, m, n, kl, ku, nrhs, a, lda, x, ldx, b, ldb, iseed, info)
DLARHS
Definition dlarhs.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
dchksy_aa_2stage
subroutine dchksy_aa_2stage(dotype, nn, nval, nnb, nbval, nns, nsval, thresh, tsterr, nmax, a, afac, ainv, b, x, xact, work, rwork, iwork, nout)
DCHKSY_AA_2STAGE
Definition dchksy_aa_2stage.f:171
derrsy
subroutine derrsy(path, nunit)
DERRSY
Definition derrsy.f:55
dlatb4
subroutine dlatb4(path, imat, m, n, type, kl, ku, anorm, mode, cndnum, dist)
DLATB4
Definition dlatb4.f:120
dlatms
subroutine dlatms(m, n, dist, iseed, sym, d, mode, cond, dmax, kl, ku, pack, a, lda, work, info)
DLATMS
Definition dlatms.f:321
dpot02
subroutine dpot02(uplo, n, nrhs, a, lda, x, ldx, b, ldb, rwork, resid)
DPOT02
Definition dpot02.f:127
dsytrf_aa_2stage
subroutine dsytrf_aa_2stage(uplo, n, a, lda, tb, ltb, ipiv, ipiv2, work, lwork, info)
DSYTRF_AA_2STAGE
Definition dsytrf_aa_2stage.f:160
dsytrs_aa_2stage
subroutine dsytrs_aa_2stage(uplo, n, nrhs, a, lda, tb, ltb, ipiv, ipiv2, b, ldb, info)
DSYTRS_AA_2STAGE
Definition dsytrs_aa_2stage.f:139
dlacpy
subroutine dlacpy(uplo, m, n, a, lda, b, ldb)
DLACPY copies all or part of one two-dimensional array to another.
Definition dlacpy.f:103