LAPACK  3.8.0 LAPACK: Linear Algebra PACKage

## ◆ zchkhe_aa_2stage()

 subroutine zchkhe_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, complex*16, dimension( * ) RWORK, integer, dimension( * ) IWORK, integer NOUT )

ZCHKHE_AA_2STAGE

Purpose:
` ZCHKSY_AA_2STAGE tests ZHETRF_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 (NBVAL) 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 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.```
Date
November 2017

Definition at line 174 of file zchkhe_aa_2stage.f.

174 *
175 * -- LAPACK test routine (version 3.8.0) --
176 * -- LAPACK is a software package provided by Univ. of Tennessee, --
177 * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
178 * November 2017
179 *
180  IMPLICIT NONE
181 *
182 * .. Scalar Arguments ..
183  LOGICAL tsterr
184  INTEGER nn, nnb, nns, nmax, nout
185  DOUBLE PRECISION thresh
186 * ..
187 * .. Array Arguments ..
188  LOGICAL dotype( * )
189  INTEGER iwork( * ), nbval( * ), nsval( * ), nval( * )
190  COMPLEX*16 a( * ), afac( * ), ainv( * ), b( * ),
191  \$ rwork( * ), work( * ), x( * ), xact( * )
192 * ..
193 *
194 * =====================================================================
195 *
196 * .. Parameters ..
197  DOUBLE PRECISION zero
198  parameter( zero = 0.0d+0 )
199  COMPLEX*16 czero
200  parameter( czero = ( 0.0d+0, 0.0d+0 ) )
201  INTEGER ntypes
202  parameter( ntypes = 10 )
203  INTEGER ntests
204  parameter( ntests = 9 )
205 * ..
206 * .. Local Scalars ..
207  LOGICAL zerot
208  CHARACTER dist, TYPE, uplo, xtype
209  CHARACTER*3 path, matpath
210  INTEGER i, i1, i2, imat, in, inb, info, ioff, irhs,
211  \$ iuplo, izero, j, k, kl, ku, lda, lwork, mode,
212  \$ n, nb, nerrs, nfail, nimat, nrhs, nrun, nt
213  DOUBLE PRECISION anorm, cndnum
214 * ..
215 * .. Local Arrays ..
216  CHARACTER uplos( 2 )
217  INTEGER iseed( 4 ), iseedy( 4 )
218  DOUBLE PRECISION result( ntests )
219 * ..
220 * .. External Subroutines ..
221  EXTERNAL alaerh, alahd, alasum, zerrhe, zlacpy,
222  \$ zlarhs, zlatb4, zlatms, zpot02,
224  \$ xlaenv
225 * ..
226 * .. Intrinsic Functions ..
227  INTRINSIC max, min
228 * ..
229 * .. Scalars in Common ..
230  LOGICAL lerr, ok
231  CHARACTER*32 srnamt
232  INTEGER infot, nunit
233 * ..
234 * .. Common blocks ..
235  COMMON / infoc / infot, nunit, ok, lerr
236  COMMON / srnamc / srnamt
237 * ..
238 * .. Data statements ..
239  DATA iseedy / 1988, 1989, 1990, 1991 /
240  DATA uplos / 'U', 'L' /
241 * ..
242 * .. Executable Statements ..
243 *
244 * Initialize constants and the random number seed.
245 *
246 * Test path
247 *
248  path( 1: 1 ) = 'Zomplex precision'
249  path( 2: 3 ) = 'H2'
250 *
251 * Path to generate matrices
252 *
253  matpath( 1: 1 ) = 'Zomplex precision'
254  matpath( 2: 3 ) = 'HE'
255  nrun = 0
256  nfail = 0
257  nerrs = 0
258  DO 10 i = 1, 4
259  iseed( i ) = iseedy( i )
260  10 CONTINUE
261 *
262 * Test the error exits
263 *
264  IF( tsterr )
265  \$ CALL zerrhe( path, nout )
266  infot = 0
267 *
268 * Set the minimum block size for which the block routine should
269 * be used, which will be later returned by ILAENV
270 *
271  CALL xlaenv( 2, 2 )
272 *
273 * Do for each value of N in NVAL
274 *
275  DO 180 in = 1, nn
276  n = nval( in )
277  IF( n .GT. nmax ) THEN
278  nfail = nfail + 1
279  WRITE(nout, 9995) 'M ', n, nmax
280  GO TO 180
281  END IF
282  lda = max( n, 1 )
283  xtype = 'N'
284  nimat = ntypes
285  IF( n.LE.0 )
286  \$ nimat = 1
287 *
288  izero = 0
289 *
290 * Do for each value of matrix type IMAT
291 *
292  DO 170 imat = 1, nimat
293 *
294 * Do the tests only if DOTYPE( IMAT ) is true.
295 *
296  IF( .NOT.dotype( imat ) )
297  \$ GO TO 170
298 *
299 * Skip types 3, 4, 5, or 6 if the matrix size is too small.
300 *
301  zerot = imat.GE.3 .AND. imat.LE.6
302  IF( zerot .AND. n.LT.imat-2 )
303  \$ GO TO 170
304 *
305 * Do first for UPLO = 'U', then for UPLO = 'L'
306 *
307  DO 160 iuplo = 1, 2
308  uplo = uplos( iuplo )
309 *
310 * Begin generate the test matrix A.
311 *
312 *
313 * Set up parameters with ZLATB4 for the matrix generator
314 * based on the type of matrix to be generated.
315 *
316  CALL zlatb4( matpath, imat, n, n, TYPE, kl, ku,
317  \$ anorm, mode, cndnum, dist )
318 *
319 * Generate a matrix with ZLATMS.
320 *
321  srnamt = 'ZLATMS'
322  CALL zlatms( n, n, dist, iseed, TYPE, rwork, mode,
323  \$ cndnum, anorm, kl, ku, uplo, a, lda, work,
324  \$ info )
325 *
326 * Check error code from ZLATMS and handle error.
327 *
328  IF( info.NE.0 ) THEN
329  CALL alaerh( path, 'ZLATMS', info, 0, uplo, n, n, -1,
330  \$ -1, -1, imat, nfail, nerrs, nout )
331 *
332 * Skip all tests for this generated matrix
333 *
334  GO TO 160
335  END IF
336 *
337 * For matrix types 3-6, zero one or more rows and
338 * columns of the matrix to test that INFO is returned
339 * correctly.
340 *
341  IF( zerot ) THEN
342  IF( imat.EQ.3 ) THEN
343  izero = 1
344  ELSE IF( imat.EQ.4 ) THEN
345  izero = n
346  ELSE
347  izero = n / 2 + 1
348  END IF
349 *
350  IF( imat.LT.6 ) THEN
351 *
352 * Set row and column IZERO to zero.
353 *
354  IF( iuplo.EQ.1 ) THEN
355  ioff = ( izero-1 )*lda
356  DO 20 i = 1, izero - 1
357  a( ioff+i ) = czero
358  20 CONTINUE
359  ioff = ioff + izero
360  DO 30 i = izero, n
361  a( ioff ) = czero
362  ioff = ioff + lda
363  30 CONTINUE
364  ELSE
365  ioff = izero
366  DO 40 i = 1, izero - 1
367  a( ioff ) = czero
368  ioff = ioff + lda
369  40 CONTINUE
370  ioff = ioff - izero
371  DO 50 i = izero, n
372  a( ioff+i ) = czero
373  50 CONTINUE
374  END IF
375  ELSE
376  IF( iuplo.EQ.1 ) THEN
377 *
378 * Set the first IZERO rows and columns to zero.
379 *
380  ioff = 0
381  DO 70 j = 1, n
382  i2 = min( j, izero )
383  DO 60 i = 1, i2
384  a( ioff+i ) = czero
385  60 CONTINUE
386  ioff = ioff + lda
387  70 CONTINUE
388  izero = 1
389  ELSE
390 *
391 * Set the last IZERO rows and columns to zero.
392 *
393  ioff = 0
394  DO 90 j = 1, n
395  i1 = max( j, izero )
396  DO 80 i = i1, n
397  a( ioff+i ) = czero
398  80 CONTINUE
399  ioff = ioff + lda
400  90 CONTINUE
401  END IF
402  END IF
403  ELSE
404  izero = 0
405  END IF
406 *
407 * End generate test matrix A.
408 *
409 *
410 * Set the imaginary part of the diagonals.
411 *
412  CALL zlaipd( n, a, lda+1, 0 )
413 *
414 * Do for each value of NB in NBVAL
415 *
416  DO 150 inb = 1, nnb
417 *
418 * Set the optimal blocksize, which will be later
419 * returned by ILAENV.
420 *
421  nb = nbval( inb )
422  CALL xlaenv( 1, nb )
423 *
424 * Copy the test matrix A into matrix AFAC which
425 * will be factorized in place. This is needed to
426 * preserve the test matrix A for subsequent tests.
427 *
428  CALL zlacpy( uplo, n, n, a, lda, afac, lda )
429 *
430 * Compute the L*D*L**T or U*D*U**T factorization of the
431 * matrix. IWORK stores details of the interchanges and
432 * the block structure of D. AINV is a work array for
433 * block factorization, LWORK is the length of AINV.
434 *
435  srnamt = 'ZHETRF_AA_2STAGE'
436  lwork = min(n*nb, 3*nmax*nmax)
437  CALL zhetrf_aa_2stage( uplo, n, afac, lda,
438  \$ ainv, (3*nb+1)*n,
439  \$ iwork, iwork( 1+n ),
440  \$ work, lwork,
441  \$ info )
442 *
443 * Adjust the expected value of INFO to account for
444 * pivoting.
445 *
446  IF( izero.GT.0 ) THEN
447  j = 1
448  k = izero
449  100 CONTINUE
450  IF( j.EQ.k ) THEN
451  k = iwork( j )
452  ELSE IF( iwork( j ).EQ.k ) THEN
453  k = j
454  END IF
455  IF( j.LT.k ) THEN
456  j = j + 1
457  GO TO 100
458  END IF
459  ELSE
460  k = 0
461  END IF
462 *
463 * Check error code from CHETRF and handle error.
464 *
465  IF( info.NE.k ) THEN
466  CALL alaerh( path, 'ZHETRF_AA_2STAGE', info, k,
467  \$ uplo, n, n, -1, -1, nb, imat, nfail,
468  \$ nerrs, nout )
469  END IF
470 *
471 *+ TEST 1
472 * Reconstruct matrix from factors and compute residual.
473 *
474 * NEED TO CREATE ZHET01_AA_2STAGE
475 * CALL ZHET01_AA( UPLO, N, A, LDA, AFAC, LDA, IWORK,
476 * \$ AINV, LDA, RWORK, RESULT( 1 ) )
477 * NT = 1
478  nt = 0
479 *
480 *
481 * Print information about the tests that did not pass
482 * the threshold.
483 *
484  DO 110 k = 1, nt
485  IF( result( k ).GE.thresh ) THEN
486  IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
487  \$ CALL alahd( nout, path )
488  WRITE( nout, fmt = 9999 )uplo, n, nb, imat, k,
489  \$ result( k )
490  nfail = nfail + 1
491  END IF
492  110 CONTINUE
493  nrun = nrun + nt
494 *
495 * Skip solver test if INFO is not 0.
496 *
497  IF( info.NE.0 ) THEN
498  GO TO 140
499  END IF
500 *
501 * Do for each value of NRHS in NSVAL.
502 *
503  DO 130 irhs = 1, nns
504  nrhs = nsval( irhs )
505 *
506 *+ TEST 2 (Using TRS)
507 * Solve and compute residual for A * X = B.
508 *
509 * Choose a set of NRHS random solution vectors
510 * stored in XACT and set up the right hand side B
511 *
512  srnamt = 'ZLARHS'
513  CALL zlarhs( matpath, xtype, uplo, ' ', n, n,
514  \$ kl, ku, nrhs, a, lda, xact, lda,
515  \$ b, lda, iseed, info )
516  CALL zlacpy( 'Full', n, nrhs, b, lda, x, lda )
517 *
518  srnamt = 'ZHETRS_AA_2STAGE'
519  lwork = max( 1, 3*n-2 )
520  CALL zhetrs_aa_2stage( uplo, n, nrhs, afac, lda,
521  \$ ainv, (3*nb+1)*n, iwork, iwork( 1+n ),
522  \$ x, lda, info )
523 *
524 * Check error code from ZHETRS and handle error.
525 *
526  IF( info.NE.0 ) THEN
527  IF( izero.EQ.0 ) THEN
528  CALL alaerh( path, 'ZHETRS_AA_2STAGE',
529  \$ info, 0, uplo, n, n, -1, -1,
530  \$ nrhs, imat, nfail, nerrs, nout )
531  END IF
532  ELSE
533 *
534  CALL zlacpy( 'Full', n, nrhs, b, lda, work, lda
535  \$ )
536 *
537 * Compute the residual for the solution
538 *
539  CALL zpot02( uplo, n, nrhs, a, lda, x, lda,
540  \$ work, lda, rwork, result( 2 ) )
541 *
542 * Print information about the tests that did not pass
543 * the threshold.
544 *
545  DO 120 k = 2, 2
546  IF( result( k ).GE.thresh ) THEN
547  IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
548  \$ CALL alahd( nout, path )
549  WRITE( nout, fmt = 9998 )uplo, n, nrhs,
550  \$ imat, k, result( k )
551  nfail = nfail + 1
552  END IF
553  120 CONTINUE
554  END IF
555  nrun = nrun + 1
556 *
557 * End do for each value of NRHS in NSVAL.
558 *
559  130 CONTINUE
560  140 CONTINUE
561  150 CONTINUE
562  160 CONTINUE
563  170 CONTINUE
564  180 CONTINUE
565 *
566 * Print a summary of the results.
567 *
568  CALL alasum( path, nout, nfail, nrun, nerrs )
569 *
570  9999 FORMAT( ' UPLO = ''', a1, ''', N =', i5, ', NB =', i4, ', type ',
571  \$ i2, ', test ', i2, ', ratio =', g12.5 )
572  9998 FORMAT( ' UPLO = ''', a1, ''', N =', i5, ', NRHS=', i3, ', type ',
573  \$ i2, ', test(', i2, ') =', g12.5 )
574  9995 FORMAT( ' Invalid input value: ', a4, '=', i6, '; must be <=',
575  \$ i6 )
576  RETURN
577 *
578 * End of ZCHKSY_AA_2STAGE
579 *
subroutine xlaenv(ISPEC, NVALUE)
XLAENV
Definition: xlaenv.f:83
subroutine zpot02(UPLO, N, NRHS, A, LDA, X, LDX, B, LDB, RWORK, RESID)
ZPOT02
Definition: zpot02.f:129
subroutine zlatms(M, N, DIST, ISEED, SYM, D, MODE, COND, DMAX, KL, KU, PACK, A, LDA, WORK, INFO)
ZLATMS
Definition: zlatms.f:334
subroutine alasum(TYPE, NOUT, NFAIL, NRUN, NERRS)
ALASUM
Definition: alasum.f:75
subroutine zlarhs(PATH, XTYPE, UPLO, TRANS, M, N, KL, KU, NRHS, A, LDA, X, LDX, B, LDB, ISEED, INFO)
ZLARHS
Definition: zlarhs.f:211
subroutine zlaipd(N, A, INDA, VINDA)
ZLAIPD
Definition: zlaipd.f:85
subroutine zhetrf_aa_2stage(UPLO, N, A, LDA, TB, LTB, IPIV, IPIV2, WORK, LWORK, INFO)
ZHETRF_AA_2STAGE
subroutine zhetrs_aa_2stage(UPLO, N, NRHS, A, LDA, TB, LTB, IPIV, IPIV2, B, LDB, INFO)
ZHETRS_AA_2STAGE
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:149
subroutine zlatb4(PATH, IMAT, M, N, TYPE, KL, KU, ANORM, MODE, CNDNUM, DIST)
ZLATB4
Definition: zlatb4.f:123
subroutine zlacpy(UPLO, M, N, A, LDA, B, LDB)
ZLACPY copies all or part of one two-dimensional array to another.
Definition: zlacpy.f:105
subroutine zerrhe(PATH, NUNIT)
ZERRHE
Definition: zerrhe.f:57
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