LAPACK  3.6.1
LAPACK: Linear Algebra PACKage
subroutine cchkpo ( logical, dimension( * )  DOTYPE,
integer  NN,
integer, dimension( * )  NVAL,
integer  NNB,
integer, dimension( * )  NBVAL,
integer  NNS,
integer, dimension( * )  NSVAL,
real  THRESH,
logical  TSTERR,
integer  NMAX,
complex, dimension( * )  A,
complex, dimension( * )  AFAC,
complex, dimension( * )  AINV,
complex, dimension( * )  B,
complex, dimension( * )  X,
complex, dimension( * )  XACT,
complex, dimension( * )  WORK,
real, dimension( * )  RWORK,
integer  NOUT 
)

CCHKPO

Purpose: 
 CCHKPO tests CPOTRF, -TRI, -TRS, -RFS, and -CON
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 REAL
          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 array, dimension (NMAX*NMAX)
[out]AFAC
          AFAC is COMPLEX array, dimension (NMAX*NMAX)
[out]AINV
          AINV is COMPLEX array, dimension (NMAX*NMAX)
[out]B
          B is COMPLEX array, dimension (NMAX*NSMAX)
          where NSMAX is the largest entry in NSVAL.
[out]X
          X is COMPLEX array, dimension (NMAX*NSMAX)
[out]XACT
          XACT is COMPLEX array, dimension (NMAX*NSMAX)
[out]WORK
          WORK is COMPLEX array, dimension
                      (NMAX*max(3,NSMAX))
[out]RWORK
          RWORK is REAL array, dimension
                      (NMAX+2*NSMAX)
[in]NOUT
          NOUT is INTEGER
          The unit number for output.
Author
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.
Date
November 2011

Definition at line 170 of file cchkpo.f.

170 *
171 * -- LAPACK test routine (version 3.4.0) --
172 * -- LAPACK is a software package provided by Univ. of Tennessee, --
173 * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
174 * November 2011
175 *
176 * .. Scalar Arguments ..
177  LOGICAL tsterr
178  INTEGER nmax, nn, nnb, nns, nout
179  REAL thresh
180 * ..
181 * .. Array Arguments ..
182  LOGICAL dotype( * )
183  INTEGER nbval( * ), nsval( * ), nval( * )
184  REAL rwork( * )
185  COMPLEX a( * ), afac( * ), ainv( * ), b( * ),
186  $ work( * ), x( * ), xact( * )
187 * ..
188 *
189 * =====================================================================
190 *
191 * .. Parameters ..
192  COMPLEX czero
193  parameter ( czero = ( 0.0e+0, 0.0e+0 ) )
194  INTEGER ntypes
195  parameter ( ntypes = 9 )
196  INTEGER ntests
197  parameter ( ntests = 8 )
198 * ..
199 * .. Local Scalars ..
200  LOGICAL zerot
201  CHARACTER dist, TYPE, uplo, xtype
202  CHARACTER*3 path
203  INTEGER i, imat, in, inb, info, ioff, irhs, iuplo,
204  $ izero, k, kl, ku, lda, mode, n, nb, nerrs,
205  $ nfail, nimat, nrhs, nrun
206  REAL anorm, cndnum, rcond, rcondc
207 * ..
208 * .. Local Arrays ..
209  CHARACTER uplos( 2 )
210  INTEGER iseed( 4 ), iseedy( 4 )
211  REAL result( ntests )
212 * ..
213 * .. External Functions ..
214  REAL clanhe, sget06
215  EXTERNAL clanhe, sget06
216 * ..
217 * .. External Subroutines ..
218  EXTERNAL alaerh, alahd, alasum, cerrpo, cget04, clacpy,
219  $ claipd, clarhs, clatb4, clatms, cpocon, cporfs,
220  $ cpot01, cpot02, cpot03, cpot05, cpotrf, cpotri,
221  $ cpotrs, xlaenv
222 * ..
223 * .. Scalars in Common ..
224  LOGICAL lerr, ok
225  CHARACTER*32 srnamt
226  INTEGER infot, nunit
227 * ..
228 * .. Common blocks ..
229  COMMON / infoc / infot, nunit, ok, lerr
230  COMMON / srnamc / srnamt
231 * ..
232 * .. Intrinsic Functions ..
233  INTRINSIC max
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  path( 1: 1 ) = 'Complex precision'
244  path( 2: 3 ) = 'PO'
245  nrun = 0
246  nfail = 0
247  nerrs = 0
248  DO 10 i = 1, 4
249  iseed( i ) = iseedy( i )
250  10 CONTINUE
251 *
252 * Test the error exits
253 *
254  IF( tsterr )
255  $ CALL cerrpo( path, nout )
256  infot = 0
257 *
258 * Do for each value of N in NVAL
259 *
260  DO 120 in = 1, nn
261  n = nval( in )
262  lda = max( n, 1 )
263  xtype = 'N'
264  nimat = ntypes
265  IF( n.LE.0 )
266  $ nimat = 1
267 *
268  izero = 0
269  DO 110 imat = 1, nimat
270 *
271 * Do the tests only if DOTYPE( IMAT ) is true.
272 *
273  IF( .NOT.dotype( imat ) )
274  $ GO TO 110
275 *
276 * Skip types 3, 4, or 5 if the matrix size is too small.
277 *
278  zerot = imat.GE.3 .AND. imat.LE.5
279  IF( zerot .AND. n.LT.imat-2 )
280  $ GO TO 110
281 *
282 * Do first for UPLO = 'U', then for UPLO = 'L'
283 *
284  DO 100 iuplo = 1, 2
285  uplo = uplos( iuplo )
286 *
287 * Set up parameters with CLATB4 and generate a test matrix
288 * with CLATMS.
289 *
290  CALL clatb4( path, imat, n, n, TYPE, kl, ku, anorm, mode,
291  $ cndnum, dist )
292 *
293  srnamt = 'CLATMS'
294  CALL clatms( n, n, dist, iseed, TYPE, rwork, mode,
295  $ cndnum, anorm, kl, ku, uplo, a, lda, work,
296  $ info )
297 *
298 * Check error code from CLATMS.
299 *
300  IF( info.NE.0 ) THEN
301  CALL alaerh( path, 'CLATMS', info, 0, uplo, n, n, -1,
302  $ -1, -1, imat, nfail, nerrs, nout )
303  GO TO 100
304  END IF
305 *
306 * For types 3-5, zero one row and column of the matrix to
307 * test that INFO is returned correctly.
308 *
309  IF( zerot ) THEN
310  IF( imat.EQ.3 ) THEN
311  izero = 1
312  ELSE IF( imat.EQ.4 ) THEN
313  izero = n
314  ELSE
315  izero = n / 2 + 1
316  END IF
317  ioff = ( izero-1 )*lda
318 *
319 * Set row and column IZERO of A to 0.
320 *
321  IF( iuplo.EQ.1 ) THEN
322  DO 20 i = 1, izero - 1
323  a( ioff+i ) = czero
324  20 CONTINUE
325  ioff = ioff + izero
326  DO 30 i = izero, n
327  a( ioff ) = czero
328  ioff = ioff + lda
329  30 CONTINUE
330  ELSE
331  ioff = izero
332  DO 40 i = 1, izero - 1
333  a( ioff ) = czero
334  ioff = ioff + lda
335  40 CONTINUE
336  ioff = ioff - izero
337  DO 50 i = izero, n
338  a( ioff+i ) = czero
339  50 CONTINUE
340  END IF
341  ELSE
342  izero = 0
343  END IF
344 *
345 * Set the imaginary part of the diagonals.
346 *
347  CALL claipd( n, a, lda+1, 0 )
348 *
349 * Do for each value of NB in NBVAL
350 *
351  DO 90 inb = 1, nnb
352  nb = nbval( inb )
353  CALL xlaenv( 1, nb )
354 *
355 * Compute the L*L' or U'*U factorization of the matrix.
356 *
357  CALL clacpy( uplo, n, n, a, lda, afac, lda )
358  srnamt = 'CPOTRF'
359  CALL cpotrf( uplo, n, afac, lda, info )
360 *
361 * Check error code from CPOTRF.
362 *
363  IF( info.NE.izero ) THEN
364  CALL alaerh( path, 'CPOTRF', info, izero, uplo, n,
365  $ n, -1, -1, nb, imat, nfail, nerrs,
366  $ nout )
367  GO TO 90
368  END IF
369 *
370 * Skip the tests if INFO is not 0.
371 *
372  IF( info.NE.0 )
373  $ GO TO 90
374 *
375 *+ TEST 1
376 * Reconstruct matrix from factors and compute residual.
377 *
378  CALL clacpy( uplo, n, n, afac, lda, ainv, lda )
379  CALL cpot01( uplo, n, a, lda, ainv, lda, rwork,
380  $ result( 1 ) )
381 *
382 *+ TEST 2
383 * Form the inverse and compute the residual.
384 *
385  CALL clacpy( uplo, n, n, afac, lda, ainv, lda )
386  srnamt = 'CPOTRI'
387  CALL cpotri( uplo, n, ainv, lda, info )
388 *
389 * Check error code from CPOTRI.
390 *
391  IF( info.NE.0 )
392  $ CALL alaerh( path, 'CPOTRI', info, 0, uplo, n, n,
393  $ -1, -1, -1, imat, nfail, nerrs, nout )
394 *
395  CALL cpot03( uplo, n, a, lda, ainv, lda, work, lda,
396  $ rwork, rcondc, result( 2 ) )
397 *
398 * Print information about the tests that did not pass
399 * the threshold.
400 *
401  DO 60 k = 1, 2
402  IF( result( k ).GE.thresh ) THEN
403  IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
404  $ CALL alahd( nout, path )
405  WRITE( nout, fmt = 9999 )uplo, n, nb, imat, k,
406  $ result( k )
407  nfail = nfail + 1
408  END IF
409  60 CONTINUE
410  nrun = nrun + 2
411 *
412 * Skip the rest of the tests unless this is the first
413 * blocksize.
414 *
415  IF( inb.NE.1 )
416  $ GO TO 90
417 *
418  DO 80 irhs = 1, nns
419  nrhs = nsval( irhs )
420 *
421 *+ TEST 3
422 * Solve and compute residual for A * X = B .
423 *
424  srnamt = 'CLARHS'
425  CALL clarhs( path, xtype, uplo, ' ', n, n, kl, ku,
426  $ nrhs, a, lda, xact, lda, b, lda,
427  $ iseed, info )
428  CALL clacpy( 'Full', n, nrhs, b, lda, x, lda )
429 *
430  srnamt = 'CPOTRS'
431  CALL cpotrs( uplo, n, nrhs, afac, lda, x, lda,
432  $ info )
433 *
434 * Check error code from CPOTRS.
435 *
436  IF( info.NE.0 )
437  $ CALL alaerh( path, 'CPOTRS', info, 0, uplo, n,
438  $ n, -1, -1, nrhs, imat, nfail,
439  $ nerrs, nout )
440 *
441  CALL clacpy( 'Full', n, nrhs, b, lda, work, lda )
442  CALL cpot02( uplo, n, nrhs, a, lda, x, lda, work,
443  $ lda, rwork, result( 3 ) )
444 *
445 *+ TEST 4
446 * Check solution from generated exact solution.
447 *
448  CALL cget04( n, nrhs, x, lda, xact, lda, rcondc,
449  $ result( 4 ) )
450 *
451 *+ TESTS 5, 6, and 7
452 * Use iterative refinement to improve the solution.
453 *
454  srnamt = 'CPORFS'
455  CALL cporfs( uplo, n, nrhs, a, lda, afac, lda, b,
456  $ lda, x, lda, rwork, rwork( nrhs+1 ),
457  $ work, rwork( 2*nrhs+1 ), info )
458 *
459 * Check error code from CPORFS.
460 *
461  IF( info.NE.0 )
462  $ CALL alaerh( path, 'CPORFS', info, 0, uplo, n,
463  $ n, -1, -1, nrhs, imat, nfail,
464  $ nerrs, nout )
465 *
466  CALL cget04( n, nrhs, x, lda, xact, lda, rcondc,
467  $ result( 5 ) )
468  CALL cpot05( uplo, n, nrhs, a, lda, b, lda, x, lda,
469  $ xact, lda, rwork, rwork( nrhs+1 ),
470  $ result( 6 ) )
471 *
472 * Print information about the tests that did not pass
473 * the threshold.
474 *
475  DO 70 k = 3, 7
476  IF( result( k ).GE.thresh ) THEN
477  IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
478  $ CALL alahd( nout, path )
479  WRITE( nout, fmt = 9998 )uplo, n, nrhs,
480  $ imat, k, result( k )
481  nfail = nfail + 1
482  END IF
483  70 CONTINUE
484  nrun = nrun + 5
485  80 CONTINUE
486 *
487 *+ TEST 8
488 * Get an estimate of RCOND = 1/CNDNUM.
489 *
490  anorm = clanhe( '1', uplo, n, a, lda, rwork )
491  srnamt = 'CPOCON'
492  CALL cpocon( uplo, n, afac, lda, anorm, rcond, work,
493  $ rwork, info )
494 *
495 * Check error code from CPOCON.
496 *
497  IF( info.NE.0 )
498  $ CALL alaerh( path, 'CPOCON', info, 0, uplo, n, n,
499  $ -1, -1, -1, imat, nfail, nerrs, nout )
500 *
501  result( 8 ) = sget06( rcond, rcondc )
502 *
503 * Print the test ratio if it is .GE. THRESH.
504 *
505  IF( result( 8 ).GE.thresh ) THEN
506  IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
507  $ CALL alahd( nout, path )
508  WRITE( nout, fmt = 9997 )uplo, n, imat, 8,
509  $ result( 8 )
510  nfail = nfail + 1
511  END IF
512  nrun = nrun + 1
513  90 CONTINUE
514  100 CONTINUE
515  110 CONTINUE
516  120 CONTINUE
517 *
518 * Print a summary of the results.
519 *
520  CALL alasum( path, nout, nfail, nrun, nerrs )
521 *
522  9999 FORMAT( ' UPLO = ''', a1, ''', N =', i5, ', NB =', i4, ', type ',
523  $ i2, ', test ', i2, ', ratio =', g12.5 )
524  9998 FORMAT( ' UPLO = ''', a1, ''', N =', i5, ', NRHS=', i3, ', type ',
525  $ i2, ', test(', i2, ') =', g12.5 )
526  9997 FORMAT( ' UPLO = ''', a1, ''', N =', i5, ',', 10x, ' type ', i2,
527  $ ', test(', i2, ') =', g12.5 )
528  RETURN
529 *
530 * End of CCHKPO
531 *
alahd
subroutine alahd(IOUNIT, PATH)
ALAHD
Definition: alahd.f:95
alaerh
subroutine alaerh(PATH, SUBNAM, INFO, INFOE, OPTS, M, N, KL, KU, N5, IMAT, NFAIL, NERRS, NOUT)
ALAERH
Definition: alaerh.f:149
clarhs
subroutine clarhs(PATH, XTYPE, UPLO, TRANS, M, N, KL, KU, NRHS, A, LDA, X, LDX, B, LDB, ISEED, INFO)
CLARHS
Definition: clarhs.f:211
cpotri
subroutine cpotri(UPLO, N, A, LDA, INFO)
CPOTRI
Definition: cpotri.f:97
claipd
subroutine claipd(N, A, INDA, VINDA)
CLAIPD
Definition: claipd.f:85
cporfs
subroutine cporfs(UPLO, N, NRHS, A, LDA, AF, LDAF, B, LDB, X, LDX, FERR, BERR, WORK, RWORK, INFO)
CPORFS
Definition: cporfs.f:185
cpot01
subroutine cpot01(UPLO, N, A, LDA, AFAC, LDAFAC, RWORK, RESID)
CPOT01
Definition: cpot01.f:108
clanhe
real function clanhe(NORM, UPLO, N, A, LDA, WORK)
CLANHE returns the value of the 1-norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a complex Hermitian matrix.
Definition: clanhe.f:126
sget06
real function sget06(RCOND, RCONDC)
SGET06
Definition: sget06.f:57
xlaenv
subroutine xlaenv(ISPEC, NVALUE)
XLAENV
Definition: xlaenv.f:83
cpocon
subroutine cpocon(UPLO, N, A, LDA, ANORM, RCOND, WORK, RWORK, INFO)
CPOCON
Definition: cpocon.f:123
cpot02
subroutine cpot02(UPLO, N, NRHS, A, LDA, X, LDX, B, LDB, RWORK, RESID)
CPOT02
Definition: cpot02.f:129
cpotrs
subroutine cpotrs(UPLO, N, NRHS, A, LDA, B, LDB, INFO)
CPOTRS
Definition: cpotrs.f:112
clatms
subroutine clatms(M, N, DIST, ISEED, SYM, D, MODE, COND, DMAX, KL, KU, PACK, A, LDA, WORK, INFO)
CLATMS
Definition: clatms.f:334
cpotrf
subroutine cpotrf(UPLO, N, A, LDA, INFO)
CPOTRF
Definition: cpotrf.f:109
clacpy
subroutine clacpy(UPLO, M, N, A, LDA, B, LDB)
CLACPY copies all or part of one two-dimensional array to another.
Definition: clacpy.f:105
cpot05
subroutine cpot05(UPLO, N, NRHS, A, LDA, B, LDB, X, LDX, XACT, LDXACT, FERR, BERR, RESLTS)
CPOT05
Definition: cpot05.f:167
cpot03
subroutine cpot03(UPLO, N, A, LDA, AINV, LDAINV, WORK, LDWORK, RWORK, RCOND, RESID)
CPOT03
Definition: cpot03.f:128
clatb4
subroutine clatb4(PATH, IMAT, M, N, TYPE, KL, KU, ANORM, MODE, CNDNUM, DIST)
CLATB4
Definition: clatb4.f:123
cget04
subroutine cget04(N, NRHS, X, LDX, XACT, LDXACT, RCOND, RESID)
CGET04
Definition: cget04.f:104
cerrpo
subroutine cerrpo(PATH, NUNIT)
CERRPO
Definition: cerrpo.f:57
alasum
subroutine alasum(TYPE, NOUT, NFAIL, NRUN, NERRS)
ALASUM
Definition: alasum.f:75

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