LAPACK  3.10.1 LAPACK: Linear Algebra PACKage

## ◆ cchkpb()

 subroutine cchkpb ( 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 )

CCHKPB

Purpose:
` CCHKPB tests CPBTRF, -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 (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 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 REAL array, dimension (NMAX*NMAX)` [out] AFAC ` AFAC is REAL array, dimension (NMAX*NMAX)` [out] AINV ` AINV is REAL array, dimension (NMAX*NMAX)` [out] B ``` B is REAL array, dimension (NMAX*NSMAX) where NSMAX is the largest entry in NSVAL.``` [out] X ` X is REAL array, dimension (NMAX*NSMAX)` [out] XACT ` XACT is REAL array, dimension (NMAX*NSMAX)` [out] WORK ``` WORK is REAL array, dimension (NMAX*max(3,NSMAX))``` [out] RWORK ``` RWORK is REAL array, dimension (max(NMAX,2*NSMAX))``` [in] NOUT ``` NOUT is INTEGER The unit number for output.```

Definition at line 165 of file cchkpb.f.

168 *
169 * -- LAPACK test routine --
170 * -- LAPACK is a software package provided by Univ. of Tennessee, --
171 * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
172 *
173 * .. Scalar Arguments ..
174  LOGICAL TSTERR
175  INTEGER NMAX, NN, NNB, NNS, NOUT
176  REAL THRESH
177 * ..
178 * .. Array Arguments ..
179  LOGICAL DOTYPE( * )
180  INTEGER NBVAL( * ), NSVAL( * ), NVAL( * )
181  REAL RWORK( * )
182  COMPLEX A( * ), AFAC( * ), AINV( * ), B( * ),
183  \$ WORK( * ), X( * ), XACT( * )
184 * ..
185 *
186 * =====================================================================
187 *
188 * .. Parameters ..
189  REAL ONE, ZERO
190  parameter( one = 1.0e+0, zero = 0.0e+0 )
191  INTEGER NTYPES, NTESTS
192  parameter( ntypes = 8, ntests = 7 )
193  INTEGER NBW
194  parameter( nbw = 4 )
195 * ..
196 * .. Local Scalars ..
197  LOGICAL ZEROT
198  CHARACTER DIST, PACKIT, TYPE, UPLO, XTYPE
199  CHARACTER*3 PATH
200  INTEGER I, I1, I2, IKD, IMAT, IN, INB, INFO, IOFF,
201  \$ IRHS, IUPLO, IW, IZERO, K, KD, KL, KOFF, KU,
202  \$ LDA, LDAB, MODE, N, NB, NERRS, NFAIL, NIMAT,
203  \$ NKD, NRHS, NRUN
204  REAL AINVNM, ANORM, CNDNUM, RCOND, RCONDC
205 * ..
206 * .. Local Arrays ..
207  INTEGER ISEED( 4 ), ISEEDY( 4 ), KDVAL( NBW )
208  REAL RESULT( NTESTS )
209 * ..
210 * .. External Functions ..
211  REAL CLANGE, CLANHB, SGET06
212  EXTERNAL clange, clanhb, sget06
213 * ..
214 * .. External Subroutines ..
215  EXTERNAL alaerh, alahd, alasum, ccopy, cerrpo, cget04,
218  \$ cpbtrs, cswap, xlaenv
219 * ..
220 * .. Intrinsic Functions ..
221  INTRINSIC cmplx, max, min
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 * .. Data statements ..
233  DATA iseedy / 1988, 1989, 1990, 1991 /
234 * ..
235 * .. Executable Statements ..
236 *
237 * Initialize constants and the random number seed.
238 *
239  path( 1: 1 ) = 'Complex precision'
240  path( 2: 3 ) = 'PB'
241  nrun = 0
242  nfail = 0
243  nerrs = 0
244  DO 10 i = 1, 4
245  iseed( i ) = iseedy( i )
246  10 CONTINUE
247 *
248 * Test the error exits
249 *
250  IF( tsterr )
251  \$ CALL cerrpo( path, nout )
252  infot = 0
253  kdval( 1 ) = 0
254 *
255 * Do for each value of N in NVAL
256 *
257  DO 90 in = 1, nn
258  n = nval( in )
259  lda = max( n, 1 )
260  xtype = 'N'
261 *
262 * Set limits on the number of loop iterations.
263 *
264  nkd = max( 1, min( n, 4 ) )
265  nimat = ntypes
266  IF( n.EQ.0 )
267  \$ nimat = 1
268 *
269  kdval( 2 ) = n + ( n+1 ) / 4
270  kdval( 3 ) = ( 3*n-1 ) / 4
271  kdval( 4 ) = ( n+1 ) / 4
272 *
273  DO 80 ikd = 1, nkd
274 *
275 * Do for KD = 0, (5*N+1)/4, (3N-1)/4, and (N+1)/4. This order
276 * makes it easier to skip redundant values for small values
277 * of N.
278 *
279  kd = kdval( ikd )
280  ldab = kd + 1
281 *
282 * Do first for UPLO = 'U', then for UPLO = 'L'
283 *
284  DO 70 iuplo = 1, 2
285  koff = 1
286  IF( iuplo.EQ.1 ) THEN
287  uplo = 'U'
288  koff = max( 1, kd+2-n )
289  packit = 'Q'
290  ELSE
291  uplo = 'L'
292  packit = 'B'
293  END IF
294 *
295  DO 60 imat = 1, nimat
296 *
297 * Do the tests only if DOTYPE( IMAT ) is true.
298 *
299  IF( .NOT.dotype( imat ) )
300  \$ GO TO 60
301 *
302 * Skip types 2, 3, or 4 if the matrix size is too small.
303 *
304  zerot = imat.GE.2 .AND. imat.LE.4
305  IF( zerot .AND. n.LT.imat-1 )
306  \$ GO TO 60
307 *
308  IF( .NOT.zerot .OR. .NOT.dotype( 1 ) ) THEN
309 *
310 * Set up parameters with CLATB4 and generate a test
311 * matrix with CLATMS.
312 *
313  CALL clatb4( path, imat, n, n, TYPE, KL, KU, ANORM,
314  \$ MODE, CNDNUM, DIST )
315 *
316  srnamt = 'CLATMS'
317  CALL clatms( n, n, dist, iseed, TYPE, RWORK, MODE,
318  \$ CNDNUM, ANORM, KD, KD, PACKIT,
319  \$ A( KOFF ), LDAB, WORK, INFO )
320 *
321 * Check error code from CLATMS.
322 *
323  IF( info.NE.0 ) THEN
324  CALL alaerh( path, 'CLATMS', info, 0, uplo, n,
325  \$ n, kd, kd, -1, imat, nfail, nerrs,
326  \$ nout )
327  GO TO 60
328  END IF
329  ELSE IF( izero.GT.0 ) THEN
330 *
331 * Use the same matrix for types 3 and 4 as for type
332 * 2 by copying back the zeroed out column,
333 *
334  iw = 2*lda + 1
335  IF( iuplo.EQ.1 ) THEN
336  ioff = ( izero-1 )*ldab + kd + 1
337  CALL ccopy( izero-i1, work( iw ), 1,
338  \$ a( ioff-izero+i1 ), 1 )
339  iw = iw + izero - i1
340  CALL ccopy( i2-izero+1, work( iw ), 1,
341  \$ a( ioff ), max( ldab-1, 1 ) )
342  ELSE
343  ioff = ( i1-1 )*ldab + 1
344  CALL ccopy( izero-i1, work( iw ), 1,
345  \$ a( ioff+izero-i1 ),
346  \$ max( ldab-1, 1 ) )
347  ioff = ( izero-1 )*ldab + 1
348  iw = iw + izero - i1
349  CALL ccopy( i2-izero+1, work( iw ), 1,
350  \$ a( ioff ), 1 )
351  END IF
352  END IF
353 *
354 * For types 2-4, zero one row and column of the matrix
355 * to test that INFO is returned correctly.
356 *
357  izero = 0
358  IF( zerot ) THEN
359  IF( imat.EQ.2 ) THEN
360  izero = 1
361  ELSE IF( imat.EQ.3 ) THEN
362  izero = n
363  ELSE
364  izero = n / 2 + 1
365  END IF
366 *
367 * Save the zeroed out row and column in WORK(*,3)
368 *
369  iw = 2*lda
370  DO 20 i = 1, min( 2*kd+1, n )
371  work( iw+i ) = zero
372  20 CONTINUE
373  iw = iw + 1
374  i1 = max( izero-kd, 1 )
375  i2 = min( izero+kd, n )
376 *
377  IF( iuplo.EQ.1 ) THEN
378  ioff = ( izero-1 )*ldab + kd + 1
379  CALL cswap( izero-i1, a( ioff-izero+i1 ), 1,
380  \$ work( iw ), 1 )
381  iw = iw + izero - i1
382  CALL cswap( i2-izero+1, a( ioff ),
383  \$ max( ldab-1, 1 ), work( iw ), 1 )
384  ELSE
385  ioff = ( i1-1 )*ldab + 1
386  CALL cswap( izero-i1, a( ioff+izero-i1 ),
387  \$ max( ldab-1, 1 ), work( iw ), 1 )
388  ioff = ( izero-1 )*ldab + 1
389  iw = iw + izero - i1
390  CALL cswap( i2-izero+1, a( ioff ), 1,
391  \$ work( iw ), 1 )
392  END IF
393  END IF
394 *
395 * Set the imaginary part of the diagonals.
396 *
397  IF( iuplo.EQ.1 ) THEN
398  CALL claipd( n, a( kd+1 ), ldab, 0 )
399  ELSE
400  CALL claipd( n, a( 1 ), ldab, 0 )
401  END IF
402 *
403 * Do for each value of NB in NBVAL
404 *
405  DO 50 inb = 1, nnb
406  nb = nbval( inb )
407  CALL xlaenv( 1, nb )
408 *
409 * Compute the L*L' or U'*U factorization of the band
410 * matrix.
411 *
412  CALL clacpy( 'Full', kd+1, n, a, ldab, afac, ldab )
413  srnamt = 'CPBTRF'
414  CALL cpbtrf( uplo, n, kd, afac, ldab, info )
415 *
416 * Check error code from CPBTRF.
417 *
418  IF( info.NE.izero ) THEN
419  CALL alaerh( path, 'CPBTRF', info, izero, uplo,
420  \$ n, n, kd, kd, nb, imat, nfail,
421  \$ nerrs, nout )
422  GO TO 50
423  END IF
424 *
425 * Skip the tests if INFO is not 0.
426 *
427  IF( info.NE.0 )
428  \$ GO TO 50
429 *
430 *+ TEST 1
431 * Reconstruct matrix from factors and compute
432 * residual.
433 *
434  CALL clacpy( 'Full', kd+1, n, afac, ldab, ainv,
435  \$ ldab )
436  CALL cpbt01( uplo, n, kd, a, ldab, ainv, ldab,
437  \$ rwork, result( 1 ) )
438 *
439 * Print the test ratio if it is .GE. THRESH.
440 *
441  IF( result( 1 ).GE.thresh ) THEN
442  IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
443  \$ CALL alahd( nout, path )
444  WRITE( nout, fmt = 9999 )uplo, n, kd, nb, imat,
445  \$ 1, result( 1 )
446  nfail = nfail + 1
447  END IF
448  nrun = nrun + 1
449 *
450 * Only do other tests if this is the first blocksize.
451 *
452  IF( inb.GT.1 )
453  \$ GO TO 50
454 *
455 * Form the inverse of A so we can get a good estimate
456 * of RCONDC = 1/(norm(A) * norm(inv(A))).
457 *
458  CALL claset( 'Full', n, n, cmplx( zero ),
459  \$ cmplx( one ), ainv, lda )
460  srnamt = 'CPBTRS'
461  CALL cpbtrs( uplo, n, kd, n, afac, ldab, ainv, lda,
462  \$ info )
463 *
464 * Compute RCONDC = 1/(norm(A) * norm(inv(A))).
465 *
466  anorm = clanhb( '1', uplo, n, kd, a, ldab, rwork )
467  ainvnm = clange( '1', n, n, ainv, lda, rwork )
468  IF( anorm.LE.zero .OR. ainvnm.LE.zero ) THEN
469  rcondc = one
470  ELSE
471  rcondc = ( one / anorm ) / ainvnm
472  END IF
473 *
474  DO 40 irhs = 1, nns
475  nrhs = nsval( irhs )
476 *
477 *+ TEST 2
478 * Solve and compute residual for A * X = B.
479 *
480  srnamt = 'CLARHS'
481  CALL clarhs( path, xtype, uplo, ' ', n, n, kd,
482  \$ kd, nrhs, a, ldab, xact, lda, b,
483  \$ lda, iseed, info )
484  CALL clacpy( 'Full', n, nrhs, b, lda, x, lda )
485 *
486  srnamt = 'CPBTRS'
487  CALL cpbtrs( uplo, n, kd, nrhs, afac, ldab, x,
488  \$ lda, info )
489 *
490 * Check error code from CPBTRS.
491 *
492  IF( info.NE.0 )
493  \$ CALL alaerh( path, 'CPBTRS', info, 0, uplo,
494  \$ n, n, kd, kd, nrhs, imat, nfail,
495  \$ nerrs, nout )
496 *
497  CALL clacpy( 'Full', n, nrhs, b, lda, work,
498  \$ lda )
499  CALL cpbt02( uplo, n, kd, nrhs, a, ldab, x, lda,
500  \$ work, lda, rwork, result( 2 ) )
501 *
502 *+ TEST 3
503 * Check solution from generated exact solution.
504 *
505  CALL cget04( n, nrhs, x, lda, xact, lda, rcondc,
506  \$ result( 3 ) )
507 *
508 *+ TESTS 4, 5, and 6
509 * Use iterative refinement to improve the solution.
510 *
511  srnamt = 'CPBRFS'
512  CALL cpbrfs( uplo, n, kd, nrhs, a, ldab, afac,
513  \$ ldab, b, lda, x, lda, rwork,
514  \$ rwork( nrhs+1 ), work,
515  \$ rwork( 2*nrhs+1 ), info )
516 *
517 * Check error code from CPBRFS.
518 *
519  IF( info.NE.0 )
520  \$ CALL alaerh( path, 'CPBRFS', info, 0, uplo,
521  \$ n, n, kd, kd, nrhs, imat, nfail,
522  \$ nerrs, nout )
523 *
524  CALL cget04( n, nrhs, x, lda, xact, lda, rcondc,
525  \$ result( 4 ) )
526  CALL cpbt05( uplo, n, kd, nrhs, a, ldab, b, lda,
527  \$ x, lda, xact, lda, rwork,
528  \$ rwork( nrhs+1 ), result( 5 ) )
529 *
530 * Print information about the tests that did not
531 * pass the threshold.
532 *
533  DO 30 k = 2, 6
534  IF( result( k ).GE.thresh ) THEN
535  IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
536  \$ CALL alahd( nout, path )
537  WRITE( nout, fmt = 9998 )uplo, n, kd,
538  \$ nrhs, imat, k, result( k )
539  nfail = nfail + 1
540  END IF
541  30 CONTINUE
542  nrun = nrun + 5
543  40 CONTINUE
544 *
545 *+ TEST 7
546 * Get an estimate of RCOND = 1/CNDNUM.
547 *
548  srnamt = 'CPBCON'
549  CALL cpbcon( uplo, n, kd, afac, ldab, anorm, rcond,
550  \$ work, rwork, info )
551 *
552 * Check error code from CPBCON.
553 *
554  IF( info.NE.0 )
555  \$ CALL alaerh( path, 'CPBCON', info, 0, uplo, n,
556  \$ n, kd, kd, -1, imat, nfail, nerrs,
557  \$ nout )
558 *
559  result( 7 ) = sget06( rcond, rcondc )
560 *
561 * Print the test ratio if it is .GE. THRESH.
562 *
563  IF( result( 7 ).GE.thresh ) THEN
564  IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
565  \$ CALL alahd( nout, path )
566  WRITE( nout, fmt = 9997 )uplo, n, kd, imat, 7,
567  \$ result( 7 )
568  nfail = nfail + 1
569  END IF
570  nrun = nrun + 1
571  50 CONTINUE
572  60 CONTINUE
573  70 CONTINUE
574  80 CONTINUE
575  90 CONTINUE
576 *
577 * Print a summary of the results.
578 *
579  CALL alasum( path, nout, nfail, nrun, nerrs )
580 *
581  9999 FORMAT( ' UPLO=''', a1, ''', N=', i5, ', KD=', i5, ', NB=', i4,
582  \$ ', type ', i2, ', test ', i2, ', ratio= ', g12.5 )
583  9998 FORMAT( ' UPLO=''', a1, ''', N=', i5, ', KD=', i5, ', NRHS=', i3,
584  \$ ', type ', i2, ', test(', i2, ') = ', g12.5 )
585  9997 FORMAT( ' UPLO=''', a1, ''', N=', i5, ', KD=', i5, ',', 10x,
586  \$ ' type ', i2, ', test(', i2, ') = ', g12.5 )
587  RETURN
588 *
589 * End of CCHKPB
590 *
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 ccopy(N, CX, INCX, CY, INCY)
CCOPY
Definition: ccopy.f:81
subroutine cswap(N, CX, INCX, CY, INCY)
CSWAP
Definition: cswap.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 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 cpbt02(UPLO, N, KD, NRHS, A, LDA, X, LDX, B, LDB, RWORK, RESID)
CPBT02
Definition: cpbt02.f:136
subroutine cerrpo(PATH, NUNIT)
CERRPO
Definition: cerrpo.f:55
subroutine cpbt01(UPLO, N, KD, A, LDA, AFAC, LDAFAC, RWORK, RESID)
CPBT01
Definition: cpbt01.f:120
subroutine claipd(N, A, INDA, VINDA)
CLAIPD
Definition: claipd.f:83
subroutine cpbt05(UPLO, N, KD, NRHS, AB, LDAB, B, LDB, X, LDX, XACT, LDXACT, FERR, BERR, RESLTS)
CPBT05
Definition: cpbt05.f:171
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 clange(NORM, M, N, A, LDA, WORK)
CLANGE returns the value of the 1-norm, Frobenius norm, infinity-norm, or the largest absolute value ...
Definition: clange.f:115
subroutine claset(UPLO, M, N, ALPHA, BETA, A, LDA)
CLASET initializes the off-diagonal elements and the diagonal elements of a matrix to given values.
Definition: claset.f:106
real function clanhb(NORM, UPLO, N, K, AB, LDAB, WORK)
CLANHB returns the value of the 1-norm, or the Frobenius norm, or the infinity norm,...
Definition: clanhb.f:132
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 cpbrfs(UPLO, N, KD, NRHS, AB, LDAB, AFB, LDAFB, B, LDB, X, LDX, FERR, BERR, WORK, RWORK, INFO)
CPBRFS
Definition: cpbrfs.f:189
subroutine cpbcon(UPLO, N, KD, AB, LDAB, ANORM, RCOND, WORK, RWORK, INFO)
CPBCON
Definition: cpbcon.f:133
subroutine cpbtrs(UPLO, N, KD, NRHS, AB, LDAB, B, LDB, INFO)
CPBTRS
Definition: cpbtrs.f:121
subroutine cpbtrf(UPLO, N, KD, AB, LDAB, INFO)
CPBTRF
Definition: cpbtrf.f:142
real function sget06(RCOND, RCONDC)
SGET06
Definition: sget06.f:55
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