LAPACK  3.10.1 LAPACK: Linear Algebra PACKage

## ◆ cchkhp()

 subroutine cchkhp ( logical, dimension( * ) DOTYPE, integer NN, integer, dimension( * ) NVAL, 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, dimension( * ) IWORK, integer NOUT )

CCHKHP

Purpose:
` CCHKHP tests CHPTRF, -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] 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+1)/2)``` [out] AFAC ``` AFAC is COMPLEX array, dimension (NMAX*(NMAX+1)/2)``` [out] AINV ``` AINV is COMPLEX array, dimension (NMAX*(NMAX+1)/2)``` [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(2,NSMAX))``` [out] RWORK ``` RWORK is REAL array, dimension (NMAX+2*NSMAX)``` [out] IWORK ` IWORK is INTEGER array, dimension (NMAX)` [in] NOUT ``` NOUT is INTEGER The unit number for output.```

Definition at line 161 of file cchkhp.f.

164 *
165 * -- LAPACK test routine --
166 * -- LAPACK is a software package provided by Univ. of Tennessee, --
167 * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
168 *
169 * .. Scalar Arguments ..
170  LOGICAL TSTERR
171  INTEGER NMAX, NN, NNS, NOUT
172  REAL THRESH
173 * ..
174 * .. Array Arguments ..
175  LOGICAL DOTYPE( * )
176  INTEGER IWORK( * ), NSVAL( * ), NVAL( * )
177  REAL RWORK( * )
178  COMPLEX A( * ), AFAC( * ), AINV( * ), B( * ),
179  \$ WORK( * ), X( * ), XACT( * )
180 * ..
181 *
182 * =====================================================================
183 *
184 * .. Parameters ..
185  REAL ZERO
186  parameter( zero = 0.0e+0 )
187  INTEGER NTYPES
188  parameter( ntypes = 10 )
189  INTEGER NTESTS
190  parameter( ntests = 8 )
191 * ..
192 * .. Local Scalars ..
193  LOGICAL TRFCON, ZEROT
194  CHARACTER DIST, PACKIT, TYPE, UPLO, XTYPE
195  CHARACTER*3 PATH
196  INTEGER I, I1, I2, IMAT, IN, INFO, IOFF, IRHS, IUPLO,
197  \$ IZERO, J, K, KL, KU, LDA, MODE, N, NERRS,
198  \$ NFAIL, NIMAT, NPP, NRHS, NRUN, NT
199  REAL ANORM, CNDNUM, RCOND, RCONDC
200 * ..
201 * .. Local Arrays ..
202  CHARACTER UPLOS( 2 )
203  INTEGER ISEED( 4 ), ISEEDY( 4 )
204  REAL RESULT( NTESTS )
205 * ..
206 * .. External Functions ..
207  LOGICAL LSAME
208  REAL CLANHP, SGET06
209  EXTERNAL lsame, clanhp, sget06
210 * ..
211 * .. External Subroutines ..
212  EXTERNAL alaerh, alahd, alasum, ccopy, cerrsy, cget04,
215  \$ cppt03, cppt05
216 * ..
217 * .. Intrinsic Functions ..
218  INTRINSIC max, min
219 * ..
220 * .. Scalars in Common ..
221  LOGICAL LERR, OK
222  CHARACTER*32 SRNAMT
223  INTEGER INFOT, NUNIT
224 * ..
225 * .. Common blocks ..
226  COMMON / infoc / infot, nunit, ok, lerr
227  COMMON / srnamc / srnamt
228 * ..
229 * .. Data statements ..
230  DATA iseedy / 1988, 1989, 1990, 1991 /
231  DATA uplos / 'U', 'L' /
232 * ..
233 * .. Executable Statements ..
234 *
235 * Initialize constants and the random number seed.
236 *
237  path( 1: 1 ) = 'Complex precision'
238  path( 2: 3 ) = 'HP'
239  nrun = 0
240  nfail = 0
241  nerrs = 0
242  DO 10 i = 1, 4
243  iseed( i ) = iseedy( i )
244  10 CONTINUE
245 *
246 * Test the error exits
247 *
248  IF( tsterr )
249  \$ CALL cerrsy( path, nout )
250  infot = 0
251 *
252 * Do for each value of N in NVAL
253 *
254  DO 170 in = 1, nn
255  n = nval( in )
256  lda = max( n, 1 )
257  xtype = 'N'
258  nimat = ntypes
259  IF( n.LE.0 )
260  \$ nimat = 1
261 *
262  izero = 0
263  DO 160 imat = 1, nimat
264 *
265 * Do the tests only if DOTYPE( IMAT ) is true.
266 *
267  IF( .NOT.dotype( imat ) )
268  \$ GO TO 160
269 *
270 * Skip types 3, 4, 5, or 6 if the matrix size is too small.
271 *
272  zerot = imat.GE.3 .AND. imat.LE.6
273  IF( zerot .AND. n.LT.imat-2 )
274  \$ GO TO 160
275 *
276 * Do first for UPLO = 'U', then for UPLO = 'L'
277 *
278  DO 150 iuplo = 1, 2
279  uplo = uplos( iuplo )
280  IF( lsame( uplo, 'U' ) ) THEN
281  packit = 'C'
282  ELSE
283  packit = 'R'
284  END IF
285 *
286 * Set up parameters with CLATB4 and generate a test matrix
287 * with CLATMS.
288 *
289  CALL clatb4( path, imat, n, n, TYPE, KL, KU, ANORM, MODE,
290  \$ CNDNUM, DIST )
291 *
292  srnamt = 'CLATMS'
293  CALL clatms( n, n, dist, iseed, TYPE, RWORK, MODE,
294  \$ CNDNUM, ANORM, KL, KU, PACKIT, A, LDA, WORK,
295  \$ INFO )
296 *
297 * Check error code from CLATMS.
298 *
299  IF( info.NE.0 ) THEN
300  CALL alaerh( path, 'CLATMS', info, 0, uplo, n, n, -1,
301  \$ -1, -1, imat, nfail, nerrs, nout )
302  GO TO 150
303  END IF
304 *
305 * For types 3-6, zero one or more rows and columns of
306 * the matrix to test that INFO is returned correctly.
307 *
308  IF( zerot ) THEN
309  IF( imat.EQ.3 ) THEN
310  izero = 1
311  ELSE IF( imat.EQ.4 ) THEN
312  izero = n
313  ELSE
314  izero = n / 2 + 1
315  END IF
316 *
317  IF( imat.LT.6 ) THEN
318 *
319 * Set row and column IZERO to zero.
320 *
321  IF( iuplo.EQ.1 ) THEN
322  ioff = ( izero-1 )*izero / 2
323  DO 20 i = 1, izero - 1
324  a( ioff+i ) = zero
325  20 CONTINUE
326  ioff = ioff + izero
327  DO 30 i = izero, n
328  a( ioff ) = zero
329  ioff = ioff + i
330  30 CONTINUE
331  ELSE
332  ioff = izero
333  DO 40 i = 1, izero - 1
334  a( ioff ) = zero
335  ioff = ioff + n - i
336  40 CONTINUE
337  ioff = ioff - izero
338  DO 50 i = izero, n
339  a( ioff+i ) = zero
340  50 CONTINUE
341  END IF
342  ELSE
343  ioff = 0
344  IF( iuplo.EQ.1 ) THEN
345 *
346 * Set the first IZERO rows and columns to zero.
347 *
348  DO 70 j = 1, n
349  i2 = min( j, izero )
350  DO 60 i = 1, i2
351  a( ioff+i ) = zero
352  60 CONTINUE
353  ioff = ioff + j
354  70 CONTINUE
355  ELSE
356 *
357 * Set the last IZERO rows and columns to zero.
358 *
359  DO 90 j = 1, n
360  i1 = max( j, izero )
361  DO 80 i = i1, n
362  a( ioff+i ) = zero
363  80 CONTINUE
364  ioff = ioff + n - j
365  90 CONTINUE
366  END IF
367  END IF
368  ELSE
369  izero = 0
370  END IF
371 *
372 * Set the imaginary part of the diagonals.
373 *
374  IF( iuplo.EQ.1 ) THEN
375  CALL claipd( n, a, 2, 1 )
376  ELSE
377  CALL claipd( n, a, n, -1 )
378  END IF
379 *
380 * Compute the L*D*L' or U*D*U' factorization of the matrix.
381 *
382  npp = n*( n+1 ) / 2
383  CALL ccopy( npp, a, 1, afac, 1 )
384  srnamt = 'CHPTRF'
385  CALL chptrf( uplo, n, afac, iwork, info )
386 *
387 * Adjust the expected value of INFO to account for
388 * pivoting.
389 *
390  k = izero
391  IF( k.GT.0 ) THEN
392  100 CONTINUE
393  IF( iwork( k ).LT.0 ) THEN
394  IF( iwork( k ).NE.-k ) THEN
395  k = -iwork( k )
396  GO TO 100
397  END IF
398  ELSE IF( iwork( k ).NE.k ) THEN
399  k = iwork( k )
400  GO TO 100
401  END IF
402  END IF
403 *
404 * Check error code from CHPTRF.
405 *
406  IF( info.NE.k )
407  \$ CALL alaerh( path, 'CHPTRF', info, k, uplo, n, n, -1,
408  \$ -1, -1, imat, nfail, nerrs, nout )
409  IF( info.NE.0 ) THEN
410  trfcon = .true.
411  ELSE
412  trfcon = .false.
413  END IF
414 *
415 *+ TEST 1
416 * Reconstruct matrix from factors and compute residual.
417 *
418  CALL chpt01( uplo, n, a, afac, iwork, ainv, lda, rwork,
419  \$ result( 1 ) )
420  nt = 1
421 *
422 *+ TEST 2
423 * Form the inverse and compute the residual.
424 *
425  IF( .NOT.trfcon ) THEN
426  CALL ccopy( npp, afac, 1, ainv, 1 )
427  srnamt = 'CHPTRI'
428  CALL chptri( uplo, n, ainv, iwork, work, info )
429 *
430 * Check error code from CHPTRI.
431 *
432  IF( info.NE.0 )
433  \$ CALL alaerh( path, 'CHPTRI', info, 0, uplo, n, n,
434  \$ -1, -1, -1, imat, nfail, nerrs, nout )
435 *
436  CALL cppt03( uplo, n, a, ainv, work, lda, rwork,
437  \$ rcondc, result( 2 ) )
438  nt = 2
439  END IF
440 *
441 * Print information about the tests that did not pass
442 * the threshold.
443 *
444  DO 110 k = 1, nt
445  IF( result( k ).GE.thresh ) THEN
446  IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
447  \$ CALL alahd( nout, path )
448  WRITE( nout, fmt = 9999 )uplo, n, imat, k,
449  \$ result( k )
450  nfail = nfail + 1
451  END IF
452  110 CONTINUE
453  nrun = nrun + nt
454 *
455 * Do only the condition estimate if INFO is not 0.
456 *
457  IF( trfcon ) THEN
458  rcondc = zero
459  GO TO 140
460  END IF
461 *
462  DO 130 irhs = 1, nns
463  nrhs = nsval( irhs )
464 *
465 *+ TEST 3
466 * Solve and compute residual for A * X = B.
467 *
468  srnamt = 'CLARHS'
469  CALL clarhs( path, xtype, uplo, ' ', n, n, kl, ku,
470  \$ nrhs, a, lda, xact, lda, b, lda, iseed,
471  \$ info )
472  xtype = 'C'
473  CALL clacpy( 'Full', n, nrhs, b, lda, x, lda )
474 *
475  srnamt = 'CHPTRS'
476  CALL chptrs( uplo, n, nrhs, afac, iwork, x, lda,
477  \$ info )
478 *
479 * Check error code from CHPTRS.
480 *
481  IF( info.NE.0 )
482  \$ CALL alaerh( path, 'CHPTRS', info, 0, uplo, n, n,
483  \$ -1, -1, nrhs, imat, nfail, nerrs,
484  \$ nout )
485 *
486  CALL clacpy( 'Full', n, nrhs, b, lda, work, lda )
487  CALL cppt02( uplo, n, nrhs, a, x, lda, work, lda,
488  \$ rwork, result( 3 ) )
489 *
490 *+ TEST 4
491 * Check solution from generated exact solution.
492 *
493  CALL cget04( n, nrhs, x, lda, xact, lda, rcondc,
494  \$ result( 4 ) )
495 *
496 *+ TESTS 5, 6, and 7
497 * Use iterative refinement to improve the solution.
498 *
499  srnamt = 'CHPRFS'
500  CALL chprfs( uplo, n, nrhs, a, afac, iwork, b, lda, x,
501  \$ lda, rwork, rwork( nrhs+1 ), work,
502  \$ rwork( 2*nrhs+1 ), info )
503 *
504 * Check error code from CHPRFS.
505 *
506  IF( info.NE.0 )
507  \$ CALL alaerh( path, 'CHPRFS', info, 0, uplo, n, n,
508  \$ -1, -1, nrhs, imat, nfail, nerrs,
509  \$ nout )
510 *
511  CALL cget04( n, nrhs, x, lda, xact, lda, rcondc,
512  \$ result( 5 ) )
513  CALL cppt05( uplo, n, nrhs, a, b, lda, x, lda, xact,
514  \$ lda, rwork, rwork( nrhs+1 ),
515  \$ result( 6 ) )
516 *
517 * Print information about the tests that did not pass
518 * the threshold.
519 *
520  DO 120 k = 3, 7
521  IF( result( k ).GE.thresh ) THEN
522  IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
523  \$ CALL alahd( nout, path )
524  WRITE( nout, fmt = 9998 )uplo, n, nrhs, imat,
525  \$ k, result( k )
526  nfail = nfail + 1
527  END IF
528  120 CONTINUE
529  nrun = nrun + 5
530  130 CONTINUE
531 *
532 *+ TEST 8
533 * Get an estimate of RCOND = 1/CNDNUM.
534 *
535  140 CONTINUE
536  anorm = clanhp( '1', uplo, n, a, rwork )
537  srnamt = 'CHPCON'
538  CALL chpcon( uplo, n, afac, iwork, anorm, rcond, work,
539  \$ info )
540 *
541 * Check error code from CHPCON.
542 *
543  IF( info.NE.0 )
544  \$ CALL alaerh( path, 'CHPCON', info, 0, uplo, n, n, -1,
545  \$ -1, -1, imat, nfail, nerrs, nout )
546 *
547  result( 8 ) = sget06( rcond, rcondc )
548 *
549 * Print the test ratio if it is .GE. THRESH.
550 *
551  IF( result( 8 ).GE.thresh ) THEN
552  IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
553  \$ CALL alahd( nout, path )
554  WRITE( nout, fmt = 9999 )uplo, n, imat, 8,
555  \$ result( 8 )
556  nfail = nfail + 1
557  END IF
558  nrun = nrun + 1
559  150 CONTINUE
560  160 CONTINUE
561  170 CONTINUE
562 *
563 * Print a summary of the results.
564 *
565  CALL alasum( path, nout, nfail, nrun, nerrs )
566 *
567  9999 FORMAT( ' UPLO = ''', a1, ''', N =', i5, ', type ', i2, ', test ',
568  \$ i2, ', ratio =', g12.5 )
569  9998 FORMAT( ' UPLO = ''', a1, ''', N =', i5, ', NRHS=', i3, ', type ',
570  \$ i2, ', test(', i2, ') =', g12.5 )
571  RETURN
572 *
573 * End of CCHKHP
574 *
logical function lsame(CA, CB)
LSAME
Definition: lsame.f:53
subroutine alasum(TYPE, NOUT, NFAIL, NRUN, NERRS)
ALASUM
Definition: alasum.f:73
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 ccopy(N, CX, INCX, CY, INCY)
CCOPY
Definition: ccopy.f:81
subroutine clarhs(PATH, XTYPE, UPLO, TRANS, M, N, KL, KU, NRHS, A, LDA, X, LDX, B, LDB, ISEED, INFO)
CLARHS
Definition: clarhs.f:208
subroutine cppt02(UPLO, N, NRHS, A, X, LDX, B, LDB, RWORK, RESID)
CPPT02
Definition: cppt02.f:123
subroutine cppt03(UPLO, N, A, AINV, WORK, LDWORK, RWORK, RCOND, RESID)
CPPT03
Definition: cppt03.f:110
subroutine clatb4(PATH, IMAT, M, N, TYPE, KL, KU, ANORM, MODE, CNDNUM, DIST)
CLATB4
Definition: clatb4.f:121
subroutine cget04(N, NRHS, X, LDX, XACT, LDXACT, RCOND, RESID)
CGET04
Definition: cget04.f:102
subroutine cerrsy(PATH, NUNIT)
CERRSY
Definition: cerrsy.f:55
subroutine cppt05(UPLO, N, NRHS, AP, B, LDB, X, LDX, XACT, LDXACT, FERR, BERR, RESLTS)
CPPT05
Definition: cppt05.f:157
subroutine claipd(N, A, INDA, VINDA)
CLAIPD
Definition: claipd.f:83
subroutine chpt01(UPLO, N, A, AFAC, IPIV, C, LDC, RWORK, RESID)
CHPT01
Definition: chpt01.f:113
subroutine clatms(M, N, DIST, ISEED, SYM, D, MODE, COND, DMAX, KL, KU, PACK, A, LDA, WORK, INFO)
CLATMS
Definition: clatms.f:332
real function clanhp(NORM, UPLO, N, AP, WORK)
CLANHP returns the value of the 1-norm, or the Frobenius norm, or the infinity norm,...
Definition: clanhp.f:117
subroutine clacpy(UPLO, M, N, A, LDA, B, LDB)
CLACPY copies all or part of one two-dimensional array to another.
Definition: clacpy.f:103
subroutine chptrs(UPLO, N, NRHS, AP, IPIV, B, LDB, INFO)
CHPTRS
Definition: chptrs.f:115
subroutine chptrf(UPLO, N, AP, IPIV, INFO)
CHPTRF
Definition: chptrf.f:159
subroutine chpcon(UPLO, N, AP, IPIV, ANORM, RCOND, WORK, INFO)
CHPCON
Definition: chpcon.f:118
subroutine chprfs(UPLO, N, NRHS, AP, AFP, IPIV, B, LDB, X, LDX, FERR, BERR, WORK, RWORK, INFO)
CHPRFS
Definition: chprfs.f:180
subroutine chptri(UPLO, N, AP, IPIV, WORK, INFO)
CHPTRI
Definition: chptri.f:109
real function sget06(RCOND, RCONDC)
SGET06
Definition: sget06.f:55
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