LAPACK 3.11.0 LAPACK: Linear Algebra PACKage
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## ◆ dchksy_aa_2stage()

 subroutine dchksy_aa_2stage ( logical, dimension( * ) DOTYPE, integer NN, integer, dimension( * ) NVAL, integer NNB, integer, dimension( * ) NBVAL, integer NNS, integer, dimension( * ) NSVAL, double precision THRESH, logical TSTERR, integer NMAX, double precision, dimension( * ) A, double precision, dimension( * ) AFAC, double precision, dimension( * ) AINV, double precision, dimension( * ) B, double precision, dimension( * ) X, double precision, dimension( * ) XACT, double precision, dimension( * ) WORK, double precision, dimension( * ) RWORK, integer, dimension( * ) IWORK, integer NOUT )

DCHKSY_AA_2STAGE

Purpose:
` DCHKSY_AA_2STAGE tests DSYTRF_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 DOUBLE PRECISION 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 DOUBLE PRECISION array, dimension (NMAX*NMAX)` [out] AFAC ` AFAC is DOUBLE PRECISION array, dimension (NMAX*NMAX)` [out] AINV ` AINV is DOUBLE PRECISION array, dimension (NMAX*NMAX)` [out] B ``` B is DOUBLE PRECISION array, dimension (NMAX*NSMAX) where NSMAX is the largest entry in NSVAL.``` [out] X ` X is DOUBLE PRECISION array, dimension (NMAX*NSMAX)` [out] XACT ` XACT is DOUBLE PRECISION array, dimension (NMAX*NSMAX)` [out] WORK ` WORK is DOUBLE PRECISION array, dimension (NMAX*max(3,NSMAX))` [out] RWORK ` RWORK is DOUBLE PRECISION 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 168 of file dchksy_aa_2stage.f.

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,
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*
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
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 dlarhs(PATH, XTYPE, UPLO, TRANS, M, N, KL, KU, NRHS, A, LDA, X, LDX, B, LDB, ISEED, INFO)
DLARHS
Definition: dlarhs.f:205
subroutine derrsy(PATH, NUNIT)
DERRSY
Definition: derrsy.f:55
subroutine dpot02(UPLO, N, NRHS, A, LDA, X, LDX, B, LDB, RWORK, RESID)
DPOT02
Definition: dpot02.f:127
subroutine dlatb4(PATH, IMAT, M, N, TYPE, KL, KU, ANORM, MODE, CNDNUM, DIST)
DLATB4
Definition: dlatb4.f:120
subroutine dlatms(M, N, DIST, ISEED, SYM, D, MODE, COND, DMAX, KL, KU, PACK, A, LDA, WORK, INFO)
DLATMS
Definition: dlatms.f:321
subroutine dsytrf_aa_2stage(UPLO, N, A, LDA, TB, LTB, IPIV, IPIV2, WORK, LWORK, INFO)
DSYTRF_AA_2STAGE
subroutine dsytrs_aa_2stage(UPLO, N, NRHS, A, LDA, TB, LTB, IPIV, IPIV2, B, LDB, INFO)
DSYTRS_AA_2STAGE
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