LAPACK  3.8.0 LAPACK: Linear Algebra PACKage

## ◆ dchksy_aa()

 subroutine dchksy_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, 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

Purpose:
` DCHKSY_AA tests DSYTRF_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 (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 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.```
Date
November 2017

Definition at line 174 of file dchksy_aa.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  DOUBLE PRECISION a( * ), afac( * ), ainv( * ), b( * ),
191  \$ rwork( * ), work( * ), x( * ), xact( * )
192 * ..
193 *
194 * =====================================================================
195 *
196 * .. Parameters ..
197  DOUBLE PRECISION zero, one
198  parameter( zero = 0.0d+0, one = 1.0d+0 )
199  INTEGER ntypes
200  parameter( ntypes = 10 )
201  INTEGER ntests
202  parameter( ntests = 9 )
203 * ..
204 * .. Local Scalars ..
205  LOGICAL zerot
206  CHARACTER dist, TYPE, uplo, xtype
207  CHARACTER*3 path, matpath
208  INTEGER i, i1, i2, imat, in, inb, info, ioff, irhs,
209  \$ iuplo, izero, j, k, kl, ku, lda, lwork, mode,
210  \$ n, nb, nerrs, nfail, nimat, nrhs, nrun, nt
211  DOUBLE PRECISION anorm, cndnum
212 * ..
213 * .. Local Arrays ..
214  CHARACTER uplos( 2 )
215  INTEGER iseed( 4 ), iseedy( 4 )
216  DOUBLE PRECISION result( ntests )
217 * ..
218 * .. External Subroutines ..
219  EXTERNAL alaerh, alahd, alasum, derrsy, dlacpy, dlarhs,
221  \$ dsytrs_aa, xlaenv
222 * ..
223 * .. Intrinsic Functions ..
224  INTRINSIC max, min
225 * ..
226 * .. Scalars in Common ..
227  LOGICAL lerr, ok
228  CHARACTER*32 srnamt
229  INTEGER infot, nunit
230 * ..
231 * .. Common blocks ..
232  COMMON / infoc / infot, nunit, ok, lerr
233  COMMON / srnamc / srnamt
234 * ..
235 * .. Data statements ..
236  DATA iseedy / 1988, 1989, 1990, 1991 /
237  DATA uplos / 'U', 'L' /
238 * ..
239 * .. Executable Statements ..
240 *
241 * Initialize constants and the random number seed.
242 *
243 * Test path
244 *
245  path( 1: 1 ) = 'Double precision'
246  path( 2: 3 ) = 'SA'
247 *
248 * Path to generate matrices
249 *
250  matpath( 1: 1 ) = 'Double precision'
251  matpath( 2: 3 ) = 'SY'
252  nrun = 0
253  nfail = 0
254  nerrs = 0
255  DO 10 i = 1, 4
256  iseed( i ) = iseedy( i )
257  10 CONTINUE
258 *
259 * Test the error exits
260 *
261  IF( tsterr )
262  \$ CALL derrsy( path, nout )
263  infot = 0
264 *
265 * Set the minimum block size for which the block routine should
266 * be used, which will be later returned by ILAENV
267 *
268  CALL xlaenv( 2, 2 )
269 *
270 * Do for each value of N in NVAL
271 *
272  DO 180 in = 1, nn
273  n = nval( in )
274  IF( n .GT. nmax ) THEN
275  nfail = nfail + 1
276  WRITE(nout, 9995) 'M ', n, nmax
277  GO TO 180
278  END IF
279  lda = max( n, 1 )
280  xtype = 'N'
281  nimat = ntypes
282  IF( n.LE.0 )
283  \$ nimat = 1
284 *
285  izero = 0
286 *
287 * Do for each value of matrix type IMAT
288 *
289  DO 170 imat = 1, nimat
290 *
291 * Do the tests only if DOTYPE( IMAT ) is true.
292 *
293  IF( .NOT.dotype( imat ) )
294  \$ GO TO 170
295 *
296 * Skip types 3, 4, 5, or 6 if the matrix size is too small.
297 *
298  zerot = imat.GE.3 .AND. imat.LE.6
299  IF( zerot .AND. n.LT.imat-2 )
300  \$ GO TO 170
301 *
302 * Do first for UPLO = 'U', then for UPLO = 'L'
303 *
304  DO 160 iuplo = 1, 2
305  uplo = uplos( iuplo )
306 *
307 * Begin generate the test matrix A.
308 *
309 *
310 * Set up parameters with DLATB4 for the matrix generator
311 * based on the type of matrix to be generated.
312 *
313  CALL dlatb4( matpath, imat, n, n, TYPE, kl, ku,
314  \$ anorm, mode, cndnum, dist )
315 *
316 * Generate a matrix with DLATMS.
317 *
318  srnamt = 'DLATMS'
319  CALL dlatms( n, n, dist, iseed, TYPE, rwork, mode,
320  \$ cndnum, anorm, kl, ku, uplo, a, lda, work,
321  \$ info )
322 *
323 * Check error code from DLATMS and handle error.
324 *
325  IF( info.NE.0 ) THEN
326  CALL alaerh( path, 'DLATMS', info, 0, uplo, n, n, -1,
327  \$ -1, -1, imat, nfail, nerrs, nout )
328 *
329 * Skip all tests for this generated matrix
330 *
331  GO TO 160
332  END IF
333 *
334 * For matrix types 3-6, zero one or more rows and
335 * columns of the matrix to test that INFO is returned
336 * correctly.
337 *
338  IF( zerot ) THEN
339  IF( imat.EQ.3 ) THEN
340  izero = 1
341  ELSE IF( imat.EQ.4 ) THEN
342  izero = n
343  ELSE
344  izero = n / 2 + 1
345  END IF
346 *
347  IF( imat.LT.6 ) THEN
348 *
349 * Set row and column IZERO to zero.
350 *
351  IF( iuplo.EQ.1 ) THEN
352  ioff = ( izero-1 )*lda
353  DO 20 i = 1, izero - 1
354  a( ioff+i ) = zero
355  20 CONTINUE
356  ioff = ioff + izero
357  DO 30 i = izero, n
358  a( ioff ) = zero
359  ioff = ioff + lda
360  30 CONTINUE
361  ELSE
362  ioff = izero
363  DO 40 i = 1, izero - 1
364  a( ioff ) = zero
365  ioff = ioff + lda
366  40 CONTINUE
367  ioff = ioff - izero
368  DO 50 i = izero, n
369  a( ioff+i ) = zero
370  50 CONTINUE
371  END IF
372  ELSE
373  IF( iuplo.EQ.1 ) THEN
374 *
375 * Set the first IZERO rows and columns to zero.
376 *
377  ioff = 0
378  DO 70 j = 1, n
379  i2 = min( j, izero )
380  DO 60 i = 1, i2
381  a( ioff+i ) = zero
382  60 CONTINUE
383  ioff = ioff + lda
384  70 CONTINUE
385  izero = 1
386  ELSE
387 *
388 * Set the last IZERO rows and columns to zero.
389 *
390  ioff = 0
391  DO 90 j = 1, n
392  i1 = max( j, izero )
393  DO 80 i = i1, n
394  a( ioff+i ) = zero
395  80 CONTINUE
396  ioff = ioff + lda
397  90 CONTINUE
398  END IF
399  END IF
400  ELSE
401  izero = 0
402  END IF
403 *
404 * End generate the test matrix A.
405 *
406 * Do for each value of NB in NBVAL
407 *
408  DO 150 inb = 1, nnb
409 *
410 * Set the optimal blocksize, which will be later
411 * returned by ILAENV.
412 *
413  nb = nbval( inb )
414  CALL xlaenv( 1, nb )
415 *
416 * Copy the test matrix A into matrix AFAC which
417 * will be factorized in place. This is needed to
418 * preserve the test matrix A for subsequent tests.
419 *
420  CALL dlacpy( uplo, n, n, a, lda, afac, lda )
421 *
422 * Compute the L*D*L**T or U*D*U**T factorization of the
423 * matrix. IWORK stores details of the interchanges and
424 * the block structure of D. AINV is a work array for
425 * block factorization, LWORK is the length of AINV.
426 *
427  srnamt = 'DSYTRF_AA'
428  lwork = max( 1, n*nb + n )
429  CALL dsytrf_aa( uplo, n, afac, lda, iwork, ainv,
430  \$ lwork, info )
431 *
432 * Adjust the expected value of INFO to account for
433 * pivoting.
434 *
435 c IF( IZERO.GT.0 ) THEN
436 c J = 1
437 c K = IZERO
438 c 100 CONTINUE
439 c IF( J.EQ.K ) THEN
440 c K = IWORK( J )
441 c ELSE IF( IWORK( J ).EQ.K ) THEN
442 c K = J
443 c END IF
444 c IF( J.LT.K ) THEN
445 c J = J + 1
446 c GO TO 100
447 c END IF
448 c ELSE
449  k = 0
450 c END IF
451 *
452 * Check error code from DSYTRF and handle error.
453 *
454  IF( info.NE.k ) THEN
455  CALL alaerh( path, 'DSYTRF_AA', info, k, uplo,
456  \$ n, n, -1, -1, nb, imat, nfail, nerrs,
457  \$ nout )
458  END IF
459 *
460 *+ TEST 1
461 * Reconstruct matrix from factors and compute residual.
462 *
463  CALL dsyt01_aa( uplo, n, a, lda, afac, lda, iwork,
464  \$ ainv, lda, rwork, result( 1 ) )
465  nt = 1
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'
506  lwork = max( 1, 3*n-2 )
507  CALL dsytrs_aa( uplo, n, nrhs, afac, lda,
508  \$ iwork, x, lda, work, lwork,
509  \$ 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', info, 0,
516  \$ uplo, n, n, -1, -1, nrhs, imat,
517  \$ 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
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:105
subroutine dlatb4(PATH, IMAT, M, N, TYPE, KL, KU, ANORM, MODE, CNDNUM, DIST)
DLATB4
Definition: dlatb4.f:122
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 dlarhs(PATH, XTYPE, UPLO, TRANS, M, N, KL, KU, NRHS, A, LDA, X, LDX, B, LDB, ISEED, INFO)
DLARHS
Definition: dlarhs.f:206
subroutine dlatms(M, N, DIST, ISEED, SYM, D, MODE, COND, DMAX, KL, KU, PACK, A, LDA, WORK, INFO)
DLATMS
Definition: dlatms.f:323
subroutine xlaenv(ISPEC, NVALUE)
XLAENV
Definition: xlaenv.f:83
subroutine dsyt01_aa(UPLO, N, A, LDA, AFAC, LDAFAC, IPIV, C, LDC, RWORK, RESID)
DSYT01
Definition: dsyt01_aa.f:128
subroutine dsytrf_aa(UPLO, N, A, LDA, IPIV, WORK, LWORK, INFO)
DSYTRF_AA
Definition: dsytrf_aa.f:134
subroutine derrsy(PATH, NUNIT)
DERRSY
Definition: derrsy.f:57
subroutine dpot02(UPLO, N, NRHS, A, LDA, X, LDX, B, LDB, RWORK, RESID)
DPOT02
Definition: dpot02.f:129
subroutine dsytrs_aa(UPLO, N, NRHS, A, LDA, IPIV, B, LDB, WORK, LWORK, INFO)
DSYTRS_AA
Definition: dsytrs_aa.f:131
subroutine alasum(TYPE, NOUT, NFAIL, NRUN, NERRS)
ALASUM
Definition: alasum.f:75
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