LAPACK  3.10.1
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 (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.
Author
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.

Definition at line 167 of file dchksy_aa.f.

170 *
171 * -- LAPACK test routine --
172 * -- LAPACK is a software package provided by Univ. of Tennessee, --
173 * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
174 *
175  IMPLICIT NONE
176 *
177 * .. Scalar Arguments ..
178  LOGICAL TSTERR
179  INTEGER NN, NNB, NNS, NMAX, NOUT
180  DOUBLE PRECISION THRESH
181 * ..
182 * .. Array Arguments ..
183  LOGICAL DOTYPE( * )
184  INTEGER IWORK( * ), NBVAL( * ), NSVAL( * ), NVAL( * )
185  DOUBLE PRECISION A( * ), AFAC( * ), AINV( * ), B( * ),
186  $ RWORK( * ), WORK( * ), X( * ), XACT( * )
187 * ..
188 *
189 * =====================================================================
190 *
191 * .. Parameters ..
192  DOUBLE PRECISION ZERO, ONE
193  parameter( zero = 0.0d+0, one = 1.0d+0 )
194  INTEGER NTYPES
195  parameter( ntypes = 10 )
196  INTEGER NTESTS
197  parameter( ntests = 9 )
198 * ..
199 * .. Local Scalars ..
200  LOGICAL ZEROT
201  CHARACTER DIST, TYPE, UPLO, XTYPE
202  CHARACTER*3 PATH, MATPATH
203  INTEGER I, I1, I2, IMAT, IN, INB, INFO, IOFF, IRHS,
204  $ IUPLO, IZERO, J, K, KL, KU, LDA, LWORK, MODE,
205  $ N, NB, NERRS, NFAIL, NIMAT, NRHS, NRUN, NT
206  DOUBLE PRECISION ANORM, CNDNUM
207 * ..
208 * .. Local Arrays ..
209  CHARACTER UPLOS( 2 )
210  INTEGER ISEED( 4 ), ISEEDY( 4 )
211  DOUBLE PRECISION RESULT( NTESTS )
212 * ..
213 * .. External Subroutines ..
214  EXTERNAL alaerh, alahd, alasum, derrsy, dlacpy, dlarhs,
216  $ dsytrs_aa, xlaenv
217 * ..
218 * .. Intrinsic Functions ..
219  INTRINSIC max, min
220 * ..
221 * .. Scalars in Common ..
222  LOGICAL LERR, OK
223  CHARACTER*32 SRNAMT
224  INTEGER INFOT, NUNIT
225 * ..
226 * .. Common blocks ..
227  COMMON / infoc / infot, nunit, ok, lerr
228  COMMON / srnamc / srnamt
229 * ..
230 * .. Data statements ..
231  DATA iseedy / 1988, 1989, 1990, 1991 /
232  DATA uplos / 'U', 'L' /
233 * ..
234 * .. Executable Statements ..
235 *
236 * Initialize constants and the random number seed.
237 *
238 * Test path
239 *
240  path( 1: 1 ) = 'Double precision'
241  path( 2: 3 ) = 'SA'
242 *
243 * Path to generate matrices
244 *
245  matpath( 1: 1 ) = 'Double precision'
246  matpath( 2: 3 ) = 'SY'
247  nrun = 0
248  nfail = 0
249  nerrs = 0
250  DO 10 i = 1, 4
251  iseed( i ) = iseedy( i )
252  10 CONTINUE
253 *
254 * Test the error exits
255 *
256  IF( tsterr )
257  $ CALL derrsy( path, nout )
258  infot = 0
259 *
260 * Set the minimum block size for which the block routine should
261 * be used, which will be later returned by ILAENV
262 *
263  CALL xlaenv( 2, 2 )
264 *
265 * Do for each value of N in NVAL
266 *
267  DO 180 in = 1, nn
268  n = nval( in )
269  IF( n .GT. nmax ) THEN
270  nfail = nfail + 1
271  WRITE(nout, 9995) 'M ', n, nmax
272  GO TO 180
273  END IF
274  lda = max( n, 1 )
275  xtype = 'N'
276  nimat = ntypes
277  IF( n.LE.0 )
278  $ nimat = 1
279 *
280  izero = 0
281 *
282 * Do for each value of matrix type IMAT
283 *
284  DO 170 imat = 1, nimat
285 *
286 * Do the tests only if DOTYPE( IMAT ) is true.
287 *
288  IF( .NOT.dotype( imat ) )
289  $ GO TO 170
290 *
291 * Skip types 3, 4, 5, or 6 if the matrix size is too small.
292 *
293  zerot = imat.GE.3 .AND. imat.LE.6
294  IF( zerot .AND. n.LT.imat-2 )
295  $ GO TO 170
296 *
297 * Do first for UPLO = 'U', then for UPLO = 'L'
298 *
299  DO 160 iuplo = 1, 2
300  uplo = uplos( iuplo )
301 *
302 * Begin generate the test matrix A.
303 *
304 *
305 * Set up parameters with DLATB4 for the matrix generator
306 * based on the type of matrix to be generated.
307 *
308  CALL dlatb4( matpath, imat, n, n, TYPE, KL, KU,
309  $ ANORM, MODE, CNDNUM, DIST )
310 *
311 * Generate a matrix with DLATMS.
312 *
313  srnamt = 'DLATMS'
314  CALL dlatms( n, n, dist, iseed, TYPE, RWORK, MODE,
315  $ CNDNUM, ANORM, KL, KU, UPLO, A, LDA, WORK,
316  $ INFO )
317 *
318 * Check error code from DLATMS and handle error.
319 *
320  IF( info.NE.0 ) THEN
321  CALL alaerh( path, 'DLATMS', info, 0, uplo, n, n, -1,
322  $ -1, -1, imat, nfail, nerrs, nout )
323 *
324 * Skip all tests for this generated matrix
325 *
326  GO TO 160
327  END IF
328 *
329 * For matrix types 3-6, zero one or more rows and
330 * columns of the matrix to test that INFO is returned
331 * correctly.
332 *
333  IF( zerot ) THEN
334  IF( imat.EQ.3 ) THEN
335  izero = 1
336  ELSE IF( imat.EQ.4 ) THEN
337  izero = n
338  ELSE
339  izero = n / 2 + 1
340  END IF
341 *
342  IF( imat.LT.6 ) THEN
343 *
344 * Set row and column IZERO to zero.
345 *
346  IF( iuplo.EQ.1 ) THEN
347  ioff = ( izero-1 )*lda
348  DO 20 i = 1, izero - 1
349  a( ioff+i ) = zero
350  20 CONTINUE
351  ioff = ioff + izero
352  DO 30 i = izero, n
353  a( ioff ) = zero
354  ioff = ioff + lda
355  30 CONTINUE
356  ELSE
357  ioff = izero
358  DO 40 i = 1, izero - 1
359  a( ioff ) = zero
360  ioff = ioff + lda
361  40 CONTINUE
362  ioff = ioff - izero
363  DO 50 i = izero, n
364  a( ioff+i ) = zero
365  50 CONTINUE
366  END IF
367  ELSE
368  IF( iuplo.EQ.1 ) THEN
369 *
370 * Set the first IZERO rows and columns to zero.
371 *
372  ioff = 0
373  DO 70 j = 1, n
374  i2 = min( j, izero )
375  DO 60 i = 1, i2
376  a( ioff+i ) = zero
377  60 CONTINUE
378  ioff = ioff + lda
379  70 CONTINUE
380  izero = 1
381  ELSE
382 *
383 * Set the last IZERO rows and columns to zero.
384 *
385  ioff = 0
386  DO 90 j = 1, n
387  i1 = max( j, izero )
388  DO 80 i = i1, n
389  a( ioff+i ) = zero
390  80 CONTINUE
391  ioff = ioff + lda
392  90 CONTINUE
393  END IF
394  END IF
395  ELSE
396  izero = 0
397  END IF
398 *
399 * End generate the test matrix A.
400 *
401 * Do for each value of NB in NBVAL
402 *
403  DO 150 inb = 1, nnb
404 *
405 * Set the optimal blocksize, which will be later
406 * returned by ILAENV.
407 *
408  nb = nbval( inb )
409  CALL xlaenv( 1, nb )
410 *
411 * Copy the test matrix A into matrix AFAC which
412 * will be factorized in place. This is needed to
413 * preserve the test matrix A for subsequent tests.
414 *
415  CALL dlacpy( uplo, n, n, a, lda, afac, lda )
416 *
417 * Compute the L*D*L**T or U*D*U**T factorization of the
418 * matrix. IWORK stores details of the interchanges and
419 * the block structure of D. AINV is a work array for
420 * block factorization, LWORK is the length of AINV.
421 *
422  srnamt = 'DSYTRF_AA'
423  lwork = max( 1, n*nb + n )
424  CALL dsytrf_aa( uplo, n, afac, lda, iwork, ainv,
425  $ lwork, info )
426 *
427 * Adjust the expected value of INFO to account for
428 * pivoting.
429 *
430 c IF( IZERO.GT.0 ) THEN
431 c J = 1
432 c K = IZERO
433 c 100 CONTINUE
434 c IF( J.EQ.K ) THEN
435 c K = IWORK( J )
436 c ELSE IF( IWORK( J ).EQ.K ) THEN
437 c K = J
438 c END IF
439 c IF( J.LT.K ) THEN
440 c J = J + 1
441 c GO TO 100
442 c END IF
443 c ELSE
444  k = 0
445 c END IF
446 *
447 * Check error code from DSYTRF and handle error.
448 *
449  IF( info.NE.k ) THEN
450  CALL alaerh( path, 'DSYTRF_AA', info, k, uplo,
451  $ n, n, -1, -1, nb, imat, nfail, nerrs,
452  $ nout )
453  END IF
454 *
455 *+ TEST 1
456 * Reconstruct matrix from factors and compute residual.
457 *
458  CALL dsyt01_aa( uplo, n, a, lda, afac, lda, iwork,
459  $ ainv, lda, rwork, result( 1 ) )
460  nt = 1
461 *
462 *
463 * Print information about the tests that did not pass
464 * the threshold.
465 *
466  DO 110 k = 1, nt
467  IF( result( k ).GE.thresh ) THEN
468  IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
469  $ CALL alahd( nout, path )
470  WRITE( nout, fmt = 9999 )uplo, n, nb, imat, k,
471  $ result( k )
472  nfail = nfail + 1
473  END IF
474  110 CONTINUE
475  nrun = nrun + nt
476 *
477 * Skip solver test if INFO is not 0.
478 *
479  IF( info.NE.0 ) THEN
480  GO TO 140
481  END IF
482 *
483 * Do for each value of NRHS in NSVAL.
484 *
485  DO 130 irhs = 1, nns
486  nrhs = nsval( irhs )
487 *
488 *+ TEST 2 (Using TRS)
489 * Solve and compute residual for A * X = B.
490 *
491 * Choose a set of NRHS random solution vectors
492 * stored in XACT and set up the right hand side B
493 *
494  srnamt = 'DLARHS'
495  CALL dlarhs( matpath, xtype, uplo, ' ', n, n,
496  $ kl, ku, nrhs, a, lda, xact, lda,
497  $ b, lda, iseed, info )
498  CALL dlacpy( 'Full', n, nrhs, b, lda, x, lda )
499 *
500  srnamt = 'DSYTRS_AA'
501  lwork = max( 1, 3*n-2 )
502  CALL dsytrs_aa( uplo, n, nrhs, afac, lda,
503  $ iwork, x, lda, work, lwork,
504  $ info )
505 *
506 * Check error code from DSYTRS and handle error.
507 *
508  IF( info.NE.0 ) THEN
509  IF( izero.EQ.0 ) THEN
510  CALL alaerh( path, 'DSYTRS_AA', info, 0,
511  $ uplo, n, n, -1, -1, nrhs, imat,
512  $ nfail, nerrs, nout )
513  END IF
514  ELSE
515  CALL dlacpy( 'Full', n, nrhs, b, lda, work, lda
516  $ )
517 *
518 * Compute the residual for the solution
519 *
520  CALL dpot02( uplo, n, nrhs, a, lda, x, lda,
521  $ work, lda, rwork, result( 2 ) )
522 *
523 *
524 * Print information about the tests that did not pass
525 * the threshold.
526 *
527  DO 120 k = 2, 2
528  IF( result( k ).GE.thresh ) THEN
529  IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
530  $ CALL alahd( nout, path )
531  WRITE( nout, fmt = 9998 )uplo, n, nrhs,
532  $ imat, k, result( k )
533  nfail = nfail + 1
534  END IF
535  120 CONTINUE
536  END IF
537  nrun = nrun + 1
538 *
539 * End do for each value of NRHS in NSVAL.
540 *
541  130 CONTINUE
542  140 CONTINUE
543  150 CONTINUE
544  160 CONTINUE
545  170 CONTINUE
546  180 CONTINUE
547 *
548 * Print a summary of the results.
549 *
550  CALL alasum( path, nout, nfail, nrun, nerrs )
551 *
552  9999 FORMAT( ' UPLO = ''', a1, ''', N =', i5, ', NB =', i4, ', type ',
553  $ i2, ', test ', i2, ', ratio =', g12.5 )
554  9998 FORMAT( ' UPLO = ''', a1, ''', N =', i5, ', NRHS=', i3, ', type ',
555  $ i2, ', test(', i2, ') =', g12.5 )
556  9995 FORMAT( ' Invalid input value: ', a4, '=', i6, '; must be <=',
557  $ i6 )
558  RETURN
559 *
560 * End of DCHKSY_AA
561 *
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 dsyt01_aa(UPLO, N, A, LDA, AFAC, LDAFAC, IPIV, C, LDC, RWORK, RESID)
DSYT01
Definition: dsyt01_aa.f:124
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 dsytrs_aa(UPLO, N, NRHS, A, LDA, IPIV, B, LDB, WORK, LWORK, INFO)
DSYTRS_AA
Definition: dsytrs_aa.f:131
subroutine dsytrf_aa(UPLO, N, A, LDA, IPIV, WORK, LWORK, INFO)
DSYTRF_AA
Definition: dsytrf_aa.f:132
Here is the call graph for this function:
Here is the caller graph for this function: