LAPACK 3.12.0 LAPACK: Linear Algebra PACKage
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## ◆ cchksy_aa_2stage()

 subroutine cchksy_aa_2stage ( logical, dimension( * ) dotype, integer nn, integer, dimension( * ) nval, integer nnb, integer, dimension( * ) nbval, integer nns, integer, dimension( * ) nsval, real thresh, logical tsterr, integer nmax, complex, dimension( * ) a, complex, dimension( * ) afac, complex, dimension( * ) ainv, complex, dimension( * ) b, complex, dimension( * ) x, complex, dimension( * ) xact, complex, dimension( * ) work, real, dimension( * ) rwork, integer, dimension( * ) iwork, integer nout )

CCHKSY_AA_2STAGE

Purpose:
` CCHKSY_AA_2STAGE tests CSYTRF_AA_2STAGE, -TRS_AA_2STAGE.`
Parameters
 [in] DOTYPE ``` DOTYPE is LOGICAL array, dimension (NTYPES) The matrix types to be used for testing. Matrices of type j (for 1 <= j <= NTYPES) are used for testing if DOTYPE(j) = .TRUE.; if DOTYPE(j) = .FALSE., then type j is not used.``` [in] NN ``` NN is INTEGER The number of values of N contained in the vector NVAL.``` [in] NVAL ``` NVAL is INTEGER array, dimension (NN) The values of the matrix dimension N.``` [in] NNB ``` NNB is INTEGER The number of values of NB contained in the vector NBVAL.``` [in] NBVAL ``` NBVAL is INTEGER array, dimension (NNB) The values of the blocksize NB.``` [in] NNS ``` NNS is INTEGER The number of values of NRHS contained in the vector NSVAL.``` [in] NSVAL ``` NSVAL is INTEGER array, dimension (NNS) The values of the number of right hand sides NRHS.``` [in] THRESH ``` THRESH is REAL The threshold value for the test ratios. A result is included in the output file if RESULT >= THRESH. To have every test ratio printed, use THRESH = 0.``` [in] TSTERR ``` TSTERR is LOGICAL Flag that indicates whether error exits are to be tested.``` [in] NMAX ``` NMAX is INTEGER The maximum value permitted for N, used in dimensioning the work arrays.``` [out] A ` A is COMPLEX array, dimension (NMAX*NMAX)` [out] AFAC ` AFAC is COMPLEX array, dimension (NMAX*NMAX)` [out] AINV ` AINV is COMPLEX array, dimension (NMAX*NMAX)` [out] B ``` B is COMPLEX array, dimension (NMAX*NSMAX) where NSMAX is the largest entry in NSVAL.``` [out] X ` X is COMPLEX array, dimension (NMAX*NSMAX)` [out] XACT ` XACT is COMPLEX array, dimension (NMAX*NSMAX)` [out] WORK ` WORK is COMPLEX array, dimension (NMAX*max(3,NSMAX))` [out] RWORK ` RWORK is COMPLEX array, dimension (max(NMAX,2*NSMAX))` [out] IWORK ` IWORK is INTEGER array, dimension (2*NMAX)` [in] NOUT ``` NOUT is INTEGER The unit number for output.```

Definition at line 169 of file cchksy_aa_2stage.f.

172*
173* -- LAPACK test routine --
174* -- LAPACK is a software package provided by Univ. of Tennessee, --
175* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
176*
177 IMPLICIT NONE
178*
179* .. Scalar Arguments ..
180 LOGICAL TSTERR
181 INTEGER NN, NNB, NNS, NMAX, NOUT
182 REAL THRESH
183* ..
184* .. Array Arguments ..
185 LOGICAL DOTYPE( * )
186 INTEGER IWORK( * ), NBVAL( * ), NSVAL( * ), NVAL( * )
187 COMPLEX A( * ), AFAC( * ), AINV( * ), B( * ),
188 \$ WORK( * ), X( * ), XACT( * )
189 REAL RWORK( * )
190* ..
191*
192* =====================================================================
193*
194* .. Parameters ..
195 COMPLEX CZERO
196 parameter( czero = ( 0.0e+0, 0.0e+0 ) )
197 INTEGER NTYPES
198 parameter( ntypes = 10 )
199 INTEGER NTESTS
200 parameter( ntests = 9 )
201* ..
202* .. Local Scalars ..
203 LOGICAL ZEROT
204 CHARACTER DIST, TYPE, UPLO, XTYPE
205 CHARACTER*3 PATH, MATPATH
206 INTEGER I, I1, I2, IMAT, IN, INB, INFO, IOFF, IRHS,
207 \$ IUPLO, IZERO, J, K, KL, KU, LDA, LWORK, MODE,
208 \$ N, NB, NERRS, NFAIL, NIMAT, NRHS, NRUN, NT
209 REAL ANORM, CNDNUM
210* ..
211* .. Local Arrays ..
212 CHARACTER UPLOS( 2 )
213 INTEGER ISEED( 4 ), ISEEDY( 4 )
214 REAL RESULT( NTESTS )
215* ..
216* .. External Subroutines ..
217 EXTERNAL alaerh, alahd, alasum, cerrsy, clacpy, clarhs,
220 \$ xlaenv
221* ..
222* .. Intrinsic Functions ..
223 INTRINSIC max, min
224* ..
225* .. Scalars in Common ..
226 LOGICAL LERR, OK
227 CHARACTER*32 SRNAMT
228 INTEGER INFOT, NUNIT
229* ..
230* .. Common blocks ..
231 COMMON / infoc / infot, nunit, ok, lerr
232 COMMON / srnamc / srnamt
233* ..
234* .. Data statements ..
235 DATA iseedy / 1988, 1989, 1990, 1991 /
236 DATA uplos / 'U', 'L' /
237* ..
238* .. Executable Statements ..
239*
240* Initialize constants and the random number seed.
241*
242* Test path
243*
244 path( 1: 1 ) = 'Complex precision'
245 path( 2: 3 ) = 'S2'
246*
247* Path to generate matrices
248*
249 matpath( 1: 1 ) = 'Complex precision'
250 matpath( 2: 3 ) = 'SY'
251 nrun = 0
252 nfail = 0
253 nerrs = 0
254 DO 10 i = 1, 4
255 iseed( i ) = iseedy( i )
256 10 CONTINUE
257*
258* Test the error exits
259*
260 IF( tsterr )
261 \$ CALL cerrsy( path, nout )
262 infot = 0
263*
264* Set the minimum block size for which the block routine should
265* be used, which will be later returned by ILAENV
266*
267 CALL xlaenv( 2, 2 )
268*
269* Do for each value of N in NVAL
270*
271 DO 180 in = 1, nn
272 n = nval( in )
273 IF( n .GT. nmax ) THEN
274 nfail = nfail + 1
275 WRITE(nout, 9995) 'M ', n, nmax
276 GO TO 180
277 END IF
278 lda = max( n, 1 )
279 xtype = 'N'
280 nimat = ntypes
281 IF( n.LE.0 )
282 \$ nimat = 1
283*
284 izero = 0
285*
286* Do for each value of matrix type IMAT
287*
288 DO 170 imat = 1, nimat
289*
290* Do the tests only if DOTYPE( IMAT ) is true.
291*
292 IF( .NOT.dotype( imat ) )
293 \$ GO TO 170
294*
295* Skip types 3, 4, 5, or 6 if the matrix size is too small.
296*
297 zerot = imat.GE.3 .AND. imat.LE.6
298 IF( zerot .AND. n.LT.imat-2 )
299 \$ GO TO 170
300*
301* Do first for UPLO = 'U', then for UPLO = 'L'
302*
303 DO 160 iuplo = 1, 2
304 uplo = uplos( iuplo )
305*
306* Begin generate the test matrix A.
307*
308*
309* Set up parameters with CLATB4 for the matrix generator
310* based on the type of matrix to be generated.
311*
312 CALL clatb4( matpath, imat, n, n, TYPE, KL, KU,
313 \$ ANORM, MODE, CNDNUM, DIST )
314*
315* Generate a matrix with CLATMS.
316*
317 srnamt = 'CLATMS'
318 CALL clatms( n, n, dist, iseed, TYPE, RWORK, MODE,
319 \$ CNDNUM, ANORM, KL, KU, UPLO, A, LDA, WORK,
320 \$ INFO )
321*
322* Check error code from CLATMS and handle error.
323*
324 IF( info.NE.0 ) THEN
325 CALL alaerh( path, 'CLATMS', info, 0, uplo, n, n, -1,
326 \$ -1, -1, imat, nfail, nerrs, nout )
327*
328* Skip all tests for this generated matrix
329*
330 GO TO 160
331 END IF
332*
333* For matrix types 3-6, zero one or more rows and
334* columns of the matrix to test that INFO is returned
335* correctly.
336*
337 IF( zerot ) THEN
338 IF( imat.EQ.3 ) THEN
339 izero = 1
340 ELSE IF( imat.EQ.4 ) THEN
341 izero = n
342 ELSE
343 izero = n / 2 + 1
344 END IF
345*
346 IF( imat.LT.6 ) THEN
347*
348* Set row and column IZERO to zero.
349*
350 IF( iuplo.EQ.1 ) THEN
351 ioff = ( izero-1 )*lda
352 DO 20 i = 1, izero - 1
353 a( ioff+i ) = czero
354 20 CONTINUE
355 ioff = ioff + izero
356 DO 30 i = izero, n
357 a( ioff ) = czero
358 ioff = ioff + lda
359 30 CONTINUE
360 ELSE
361 ioff = izero
362 DO 40 i = 1, izero - 1
363 a( ioff ) = czero
364 ioff = ioff + lda
365 40 CONTINUE
366 ioff = ioff - izero
367 DO 50 i = izero, n
368 a( ioff+i ) = czero
369 50 CONTINUE
370 END IF
371 ELSE
372 IF( iuplo.EQ.1 ) THEN
373*
374* Set the first IZERO rows and columns to zero.
375*
376 ioff = 0
377 DO 70 j = 1, n
378 i2 = min( j, izero )
379 DO 60 i = 1, i2
380 a( ioff+i ) = czero
381 60 CONTINUE
382 ioff = ioff + lda
383 70 CONTINUE
384 izero = 1
385 ELSE
386*
387* Set the last IZERO rows and columns to zero.
388*
389 ioff = 0
390 DO 90 j = 1, n
391 i1 = max( j, izero )
392 DO 80 i = i1, n
393 a( ioff+i ) = czero
394 80 CONTINUE
395 ioff = ioff + lda
396 90 CONTINUE
397 END IF
398 END IF
399 ELSE
400 izero = 0
401 END IF
402*
403* End generate the test matrix A.
404*
405* Do for each value of NB in NBVAL
406*
407 DO 150 inb = 1, nnb
408*
409* Set the optimal blocksize, which will be later
410* returned by ILAENV.
411*
412 nb = nbval( inb )
413 CALL xlaenv( 1, nb )
414*
415* Copy the test matrix A into matrix AFAC which
416* will be factorized in place. This is needed to
417* preserve the test matrix A for subsequent tests.
418*
419 CALL clacpy( uplo, n, n, a, lda, afac, lda )
420*
421* Compute the L*D*L**T or U*D*U**T factorization of the
422* matrix. IWORK stores details of the interchanges and
423* the block structure of D. AINV is a work array for
424* block factorization, LWORK is the length of AINV.
425*
426 srnamt = 'CSYTRF_AA_2STAGE'
427 lwork = min(n*nb, 3*nmax*nmax)
428 CALL csytrf_aa_2stage( uplo, n, afac, lda,
429 \$ ainv, (3*nb+1)*n,
430 \$ iwork, iwork( 1+n ),
431 \$ work, lwork,
432 \$ info )
433*
434* Adjust the expected value of INFO to account for
435* pivoting.
436*
437 IF( izero.GT.0 ) THEN
438 j = 1
439 k = izero
440 100 CONTINUE
441 IF( j.EQ.k ) THEN
442 k = iwork( j )
443 ELSE IF( iwork( j ).EQ.k ) THEN
444 k = j
445 END IF
446 IF( j.LT.k ) THEN
447 j = j + 1
448 GO TO 100
449 END IF
450 ELSE
451 k = 0
452 END IF
453*
454* Check error code from CSYTRF and handle error.
455*
456 IF( info.NE.k ) THEN
457 CALL alaerh( path, 'CSYTRF_AA_2STAGE', info, k,
458 \$ uplo, n, n, -1, -1, nb, imat, nfail,
459 \$ nerrs, nout )
460 END IF
461*
462*+ TEST 1
463* Reconstruct matrix from factors and compute residual.
464*
465c CALL CSYT01_AA( UPLO, N, A, LDA, AFAC, LDA, IWORK,
466c \$ AINV, LDA, RWORK, RESULT( 1 ) )
467c NT = 1
468 nt = 0
469*
470*
471* Print information about the tests that did not pass
472* the threshold.
473*
474 DO 110 k = 1, nt
475 IF( result( k ).GE.thresh ) THEN
476 IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
477 \$ CALL alahd( nout, path )
478 WRITE( nout, fmt = 9999 )uplo, n, nb, imat, k,
479 \$ result( k )
480 nfail = nfail + 1
481 END IF
482 110 CONTINUE
483 nrun = nrun + nt
484*
485* Skip solver test if INFO is not 0.
486*
487 IF( info.NE.0 ) THEN
488 GO TO 140
489 END IF
490*
491* Do for each value of NRHS in NSVAL.
492*
493 DO 130 irhs = 1, nns
494 nrhs = nsval( irhs )
495*
496*+ TEST 2 (Using TRS)
497* Solve and compute residual for A * X = B.
498*
499* Choose a set of NRHS random solution vectors
500* stored in XACT and set up the right hand side B
501*
502 srnamt = 'CLARHS'
503 CALL clarhs( matpath, xtype, uplo, ' ', n, n,
504 \$ kl, ku, nrhs, a, lda, xact, lda,
505 \$ b, lda, iseed, info )
506 CALL clacpy( 'Full', n, nrhs, b, lda, x, lda )
507*
508 srnamt = 'CSYTRS_AA_2STAGE'
509 lwork = max( 1, 3*n-2 )
510 CALL csytrs_aa_2stage( uplo, n, nrhs, afac, lda,
511 \$ ainv, (3*nb+1)*n, iwork, iwork( 1+n ),
512 \$ x, lda, info )
513*
514* Check error code from CSYTRS and handle error.
515*
516 IF( info.NE.0 ) THEN
517 IF( izero.EQ.0 ) THEN
518 CALL alaerh( path, 'CSYTRS_AA_2STAGE',
519 \$ info, 0, uplo, n, n, -1, -1,
520 \$ nrhs, imat, nfail, nerrs, nout )
521 END IF
522 ELSE
523 CALL clacpy( 'Full', n, nrhs, b, lda, work, lda
524 \$ )
525*
526* Compute the residual for the solution
527*
528 CALL csyt02( uplo, n, nrhs, a, lda, x, lda,
529 \$ work, lda, rwork, result( 2 ) )
530*
531*
532* Print information about the tests that did not pass
533* the threshold.
534*
535 DO 120 k = 2, 2
536 IF( result( k ).GE.thresh ) THEN
537 IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
538 \$ CALL alahd( nout, path )
539 WRITE( nout, fmt = 9998 )uplo, n, nrhs,
540 \$ imat, k, result( k )
541 nfail = nfail + 1
542 END IF
543 120 CONTINUE
544 END IF
545 nrun = nrun + 1
546*
547* End do for each value of NRHS in NSVAL.
548*
549 130 CONTINUE
550 140 CONTINUE
551 150 CONTINUE
552 160 CONTINUE
553 170 CONTINUE
554 180 CONTINUE
555*
556* Print a summary of the results.
557*
558 CALL alasum( path, nout, nfail, nrun, nerrs )
559*
560 9999 FORMAT( ' UPLO = ''', a1, ''', N =', i5, ', NB =', i4, ', type ',
561 \$ i2, ', test ', i2, ', ratio =', g12.5 )
562 9998 FORMAT( ' UPLO = ''', a1, ''', N =', i5, ', NRHS=', i3, ', type ',
563 \$ i2, ', test(', i2, ') =', g12.5 )
564 9995 FORMAT( ' Invalid input value: ', a4, '=', i6, '; must be <=',
565 \$ i6 )
566 RETURN
567*
568* End of CCHKSY_AA_2STAGE
569*
subroutine alasum(type, nout, nfail, nrun, nerrs)
ALASUM
Definition alasum.f:73
subroutine clarhs(path, xtype, uplo, trans, m, n, kl, ku, nrhs, a, lda, x, ldx, b, ldb, iseed, info)
CLARHS
Definition clarhs.f:208
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 cerrsy(path, nunit)
CERRSY
Definition cerrsy.f:55
subroutine clatb4(path, imat, m, n, type, kl, ku, anorm, mode, cndnum, dist)
CLATB4
Definition clatb4.f:121
subroutine clatms(m, n, dist, iseed, sym, d, mode, cond, dmax, kl, ku, pack, a, lda, work, info)
CLATMS
Definition clatms.f:332
subroutine csyt01(uplo, n, a, lda, afac, ldafac, ipiv, c, ldc, rwork, resid)
CSYT01
Definition csyt01.f:125
subroutine csyt02(uplo, n, nrhs, a, lda, x, ldx, b, ldb, rwork, resid)
CSYT02
Definition csyt02.f:127
subroutine csytrf_aa_2stage(uplo, n, a, lda, tb, ltb, ipiv, ipiv2, work, lwork, info)
CSYTRF_AA_2STAGE
subroutine csytrs_aa_2stage(uplo, n, nrhs, a, lda, tb, ltb, ipiv, ipiv2, b, ldb, info)
CSYTRS_AA_2STAGE
subroutine clacpy(uplo, m, n, a, lda, b, ldb)
CLACPY copies all or part of one two-dimensional array to another.
Definition clacpy.f:103
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