LAPACK  3.10.0
LAPACK: Linear Algebra PACKage

◆ zchksy_aa_2stage()

subroutine zchksy_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,
complex*16, dimension( * )  A,
complex*16, dimension( * )  AFAC,
complex*16, dimension( * )  AINV,
complex*16, dimension( * )  B,
complex*16, dimension( * )  X,
complex*16, dimension( * )  XACT,
complex*16, dimension( * )  WORK,
double precision, dimension( * )  RWORK,
integer, dimension( * )  IWORK,
integer  NOUT 
)

ZCHKSY_AA_2STAGE

Purpose:
 ZCHKSY_AA_2STAGE tests ZSYTRF_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 COMPLEX*16 array, dimension (NMAX*NMAX)
[out]AFAC
          AFAC is COMPLEX*16 array, dimension (NMAX*NMAX)
[out]AINV
          AINV is COMPLEX*16 array, dimension (NMAX*NMAX)
[out]B
          B is COMPLEX*16 array, dimension (NMAX*NSMAX)
          where NSMAX is the largest entry in NSVAL.
[out]X
          X is COMPLEX*16 array, dimension (NMAX*NSMAX)
[out]XACT
          XACT is COMPLEX*16 array, dimension (NMAX*NSMAX)
[out]WORK
          WORK is COMPLEX*16 array, dimension (NMAX*max(3,NSMAX))
[out]RWORK
          RWORK is COMPLEX*16 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.
Author
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.

Definition at line 169 of file zchksy_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  DOUBLE PRECISION THRESH
183 * ..
184 * .. Array Arguments ..
185  LOGICAL DOTYPE( * )
186  INTEGER IWORK( * ), NBVAL( * ), NSVAL( * ), NVAL( * )
187  DOUBLE PRECISION RWORK( * )
188  COMPLEX*16 A( * ), AFAC( * ), AINV( * ), B( * ),
189  $ WORK( * ), X( * ), XACT( * )
190 * ..
191 *
192 * =====================================================================
193 *
194 * .. Parameters ..
195  COMPLEX*16 CZERO
196  parameter( czero = ( 0.0d+0, 0.0d+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  DOUBLE PRECISION ANORM, CNDNUM
210 * ..
211 * .. Local Arrays ..
212  CHARACTER UPLOS( 2 )
213  INTEGER ISEED( 4 ), ISEEDY( 4 )
214  DOUBLE PRECISION RESULT( NTESTS )
215 * ..
216 * .. External Subroutines ..
217  EXTERNAL alaerh, alahd, alasum, zerrsy, zlacpy, zlarhs,
218  $ zlatb4, zlatms, zsyt02, zsyt01,
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 ) = 'Zomplex precision'
245  path( 2: 3 ) = 'S2'
246 *
247 * Path to generate matrices
248 *
249  matpath( 1: 1 ) = 'Zomplex 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 zerrsy( 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 ZLATB4 for the matrix generator
310 * based on the type of matrix to be generated.
311 *
312  CALL zlatb4( matpath, imat, n, n, TYPE, KL, KU,
313  $ ANORM, MODE, CNDNUM, DIST )
314 *
315 * Generate a matrix with ZLATMS.
316 *
317  srnamt = 'ZLATMS'
318  CALL zlatms( n, n, dist, iseed, TYPE, RWORK, MODE,
319  $ CNDNUM, ANORM, KL, KU, UPLO, A, LDA, WORK,
320  $ INFO )
321 *
322 * Check error code from ZLATMS and handle error.
323 *
324  IF( info.NE.0 ) THEN
325  CALL alaerh( path, 'ZLATMS', 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 zlacpy( 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 = 'ZSYTRF_AA_2STAGE'
427  lwork = min(n*nb, 3*nmax*nmax)
428  CALL zsytrf_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 ZSYTRF and handle error.
455 *
456  IF( info.NE.k ) THEN
457  CALL alaerh( path, 'ZSYTRF_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 *
465 c CALL ZSYT01_AA( UPLO, N, A, LDA, AFAC, LDA, IWORK,
466 c $ AINV, LDA, RWORK, RESULT( 1 ) )
467 c 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 = 'ZLARHS'
503  CALL zlarhs( matpath, xtype, uplo, ' ', n, n,
504  $ kl, ku, nrhs, a, lda, xact, lda,
505  $ b, lda, iseed, info )
506  CALL zlacpy( 'Full', n, nrhs, b, lda, x, lda )
507 *
508  srnamt = 'ZSYTRS_AA_2STAGE'
509  lwork = max( 1, 3*n-2 )
510  CALL zsytrs_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 ZSYTRS and handle error.
515 *
516  IF( info.NE.0 ) THEN
517  IF( izero.EQ.0 ) THEN
518  CALL alaerh( path, 'ZSYTRS_AA_2STAGE',
519  $ info, 0, uplo, n, n, -1, -1,
520  $ nrhs, imat, nfail, nerrs, nout )
521  END IF
522  ELSE
523  CALL zlacpy( 'Full', n, nrhs, b, lda, work, lda
524  $ )
525 *
526 * Compute the residual for the solution
527 *
528  CALL zsyt02( 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 ZCHKSY_AA_2STAGE
569 *
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 zlarhs(PATH, XTYPE, UPLO, TRANS, M, N, KL, KU, NRHS, A, LDA, X, LDX, B, LDB, ISEED, INFO)
ZLARHS
Definition: zlarhs.f:208
subroutine zsyt02(UPLO, N, NRHS, A, LDA, X, LDX, B, LDB, RWORK, RESID)
ZSYT02
Definition: zsyt02.f:127
subroutine zsyt01(UPLO, N, A, LDA, AFAC, LDAFAC, IPIV, C, LDC, RWORK, RESID)
ZSYT01
Definition: zsyt01.f:125
subroutine zlatb4(PATH, IMAT, M, N, TYPE, KL, KU, ANORM, MODE, CNDNUM, DIST)
ZLATB4
Definition: zlatb4.f:121
subroutine zerrsy(PATH, NUNIT)
ZERRSY
Definition: zerrsy.f:55
subroutine zlatms(M, N, DIST, ISEED, SYM, D, MODE, COND, DMAX, KL, KU, PACK, A, LDA, WORK, INFO)
ZLATMS
Definition: zlatms.f:332
subroutine zlacpy(UPLO, M, N, A, LDA, B, LDB)
ZLACPY copies all or part of one two-dimensional array to another.
Definition: zlacpy.f:103
subroutine zsytrf_aa_2stage(UPLO, N, A, LDA, TB, LTB, IPIV, IPIV2, WORK, LWORK, INFO)
ZSYTRF_AA_2STAGE
subroutine zsytrs_aa_2stage(UPLO, N, NRHS, A, LDA, TB, LTB, IPIV, IPIV2, B, LDB, INFO)
ZSYTRS_AA_2STAGE
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