 LAPACK  3.10.1 LAPACK: Linear Algebra PACKage

## ◆ zchksy_aa()

 subroutine zchksy_aa ( 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

Purpose:
` ZCHKSY_AA tests ZSYTRF_AA, -TRS_AA.`
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.```

Definition at line 168 of file zchksy_aa.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 RWORK( * )
187  COMPLEX*16 A( * ), AFAC( * ), AINV( * ), B( * ),
188  \$ WORK( * ), X( * ), XACT( * )
189 * ..
190 *
191 * =====================================================================
192 *
193 * .. Parameters ..
194  DOUBLE PRECISION ZERO
195  parameter( zero = 0.0d+0 )
196  COMPLEX*16 CZERO
197  parameter( czero = ( 0.0d+0, 0.0d+0 ) )
198  INTEGER NTYPES
199  parameter( ntypes = 10 )
200  INTEGER NTESTS
201  parameter( ntests = 9 )
202 * ..
203 * .. Local Scalars ..
204  LOGICAL ZEROT
205  CHARACTER DIST, TYPE, UPLO, XTYPE
206  CHARACTER*3 PATH, MATPATH
207  INTEGER I, I1, I2, IMAT, IN, INB, INFO, IOFF, IRHS,
208  \$ IUPLO, IZERO, J, K, KL, KU, LDA, LWORK, MODE,
209  \$ N, NB, NERRS, NFAIL, NIMAT, NRHS, NRUN, NT
210  DOUBLE PRECISION ANORM, CNDNUM
211 * ..
212 * .. Local Arrays ..
213  CHARACTER UPLOS( 2 )
214  INTEGER ISEED( 4 ), ISEEDY( 4 )
215  DOUBLE PRECISION RESULT( NTESTS )
216 * ..
217 * .. External Subroutines ..
218  EXTERNAL alaerh, alahd, alasum, zerrsy, zlacpy, zlarhs,
220  \$ zsytrs_aa, 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 ) = 'SA'
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'
427  lwork = max( 1, n*nb + n )
428  CALL zsytrf_aa( uplo, n, afac, lda, iwork, ainv,
429  \$ lwork, info )
430 *
431 * Adjust the expected value of INFO to account for
432 * pivoting.
433 *
434 c IF( IZERO.GT.0 ) THEN
435 c J = 1
436 c K = IZERO
437 c 100 CONTINUE
438 c IF( J.EQ.K ) THEN
439 c K = IWORK( J )
440 c ELSE IF( IWORK( J ).EQ.K ) THEN
441 c K = J
442 c END IF
443 c IF( J.LT.K ) THEN
444 c J = J + 1
445 c GO TO 100
446 c END IF
447 c ELSE
448  k = 0
449 c END IF
450 *
451 * Check error code from ZSYTRF and handle error.
452 *
453  IF( info.NE.k ) THEN
454  CALL alaerh( path, 'ZSYTRF_AA', info, k, uplo,
455  \$ n, n, -1, -1, nb, imat, nfail, nerrs,
456  \$ nout )
457  END IF
458 *
459 *+ TEST 1
460 * Reconstruct matrix from factors and compute residual.
461 *
462  CALL zsyt01_aa( uplo, n, a, lda, afac, lda, iwork,
463  \$ ainv, lda, rwork, result( 1 ) )
464  nt = 1
465 *
466 *
467 * Print information about the tests that did not pass
468 * the threshold.
469 *
470  DO 110 k = 1, nt
471  IF( result( k ).GE.thresh ) THEN
472  IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
473  \$ CALL alahd( nout, path )
474  WRITE( nout, fmt = 9999 )uplo, n, nb, imat, k,
475  \$ result( k )
476  nfail = nfail + 1
477  END IF
478  110 CONTINUE
479  nrun = nrun + nt
480 *
481 * Skip solver test if INFO is not 0.
482 *
483  IF( info.NE.0 ) THEN
484  GO TO 140
485  END IF
486 *
487 * Do for each value of NRHS in NSVAL.
488 *
489  DO 130 irhs = 1, nns
490  nrhs = nsval( irhs )
491 *
492 *+ TEST 2 (Using TRS)
493 * Solve and compute residual for A * X = B.
494 *
495 * Choose a set of NRHS random solution vectors
496 * stored in XACT and set up the right hand side B
497 *
498  srnamt = 'ZLARHS'
499  CALL zlarhs( matpath, xtype, uplo, ' ', n, n,
500  \$ kl, ku, nrhs, a, lda, xact, lda,
501  \$ b, lda, iseed, info )
502  CALL zlacpy( 'Full', n, nrhs, b, lda, x, lda )
503 *
504  srnamt = 'ZSYTRS_AA'
505  lwork = max( 1, 3*n-2 )
506  CALL zsytrs_aa( uplo, n, nrhs, afac, lda,
507  \$ iwork, x, lda, work, lwork,
508  \$ info )
509 *
510 * Check error code from ZSYTRS and handle error.
511 *
512  IF( info.NE.0 ) THEN
513  IF( izero.EQ.0 ) THEN
514  CALL alaerh( path, 'ZSYTRS_AA', info, 0,
515  \$ uplo, n, n, -1, -1, nrhs, imat,
516  \$ nfail, nerrs, nout )
517  END IF
518  ELSE
519  CALL zlacpy( 'Full', n, nrhs, b, lda, work, lda
520  \$ )
521 *
522 * Compute the residual for the solution
523 *
524  CALL zsyt02( uplo, n, nrhs, a, lda, x, lda,
525  \$ work, lda, rwork, result( 2 ) )
526 *
527 *
528 * Print information about the tests that did not pass
529 * the threshold.
530 *
531  DO 120 k = 2, 2
532  IF( result( k ).GE.thresh ) THEN
533  IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
534  \$ CALL alahd( nout, path )
535  WRITE( nout, fmt = 9998 )uplo, n, nrhs,
536  \$ imat, k, result( k )
537  nfail = nfail + 1
538  END IF
539  120 CONTINUE
540  END IF
541  nrun = nrun + 1
542 *
543 * End do for each value of NRHS in NSVAL.
544 *
545  130 CONTINUE
546  140 CONTINUE
547  150 CONTINUE
548  160 CONTINUE
549  170 CONTINUE
550  180 CONTINUE
551 *
552 * Print a summary of the results.
553 *
554  CALL alasum( path, nout, nfail, nrun, nerrs )
555 *
556  9999 FORMAT( ' UPLO = ''', a1, ''', N =', i5, ', NB =', i4, ', type ',
557  \$ i2, ', test ', i2, ', ratio =', g12.5 )
558  9998 FORMAT( ' UPLO = ''', a1, ''', N =', i5, ', NRHS=', i3, ', type ',
559  \$ i2, ', test(', i2, ') =', g12.5 )
560  9995 FORMAT( ' Invalid input value: ', a4, '=', i6, '; must be <=',
561  \$ i6 )
562  RETURN
563 *
564 * End of ZCHKSY_AA
565 *
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_aa(UPLO, N, A, LDA, AFAC, LDAFAC, IPIV, C, LDC, RWORK, RESID)
ZSYT01
Definition: zsyt01_aa.f:124
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 zsytrs_aa(UPLO, N, NRHS, A, LDA, IPIV, B, LDB, WORK, LWORK, INFO)
ZSYTRS_AA
Definition: zsytrs_aa.f:131
subroutine zsytrf_aa(UPLO, N, A, LDA, IPIV, WORK, LWORK, INFO)
ZSYTRF_AA
Definition: zsytrf_aa.f:132
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