LAPACK 3.12.0 LAPACK: Linear Algebra PACKage
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## ◆ dchkpo()

 subroutine dchkpo ( 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 )

DCHKPO

Purpose:
` DCHKPO tests DPOTRF, -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 (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 (NMAX)` [in] NOUT ``` NOUT is INTEGER The unit number for output.```

Definition at line 169 of file dchkpo.f.

172*
173* -- LAPACK test routine --
174* -- LAPACK is a software package provided by Univ. of Tennessee, --
175* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
176*
177* .. Scalar Arguments ..
178 LOGICAL TSTERR
179 INTEGER NMAX, NN, NNB, NNS, 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
193 parameter( zero = 0.0d+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 DOUBLE PRECISION ANORM, CNDNUM, RCOND, RCONDC
207* ..
208* .. Local Arrays ..
209 CHARACTER UPLOS( 2 )
210 INTEGER ISEED( 4 ), ISEEDY( 4 )
211 DOUBLE PRECISION RESULT( NTESTS )
212* ..
213* .. External Functions ..
214 DOUBLE PRECISION DGET06, DLANSY
215 EXTERNAL dget06, dlansy
216* ..
217* .. External Subroutines ..
218 EXTERNAL alaerh, alahd, alasum, derrpo, dget04, dlacpy,
221 \$ 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 ) = 'Double 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 derrpo( path, nout )
256 infot = 0
257 CALL xlaenv( 2, 2 )
258*
259* Do for each value of N in NVAL
260*
261 DO 120 in = 1, nn
262 n = nval( in )
263 lda = max( n, 1 )
264 xtype = 'N'
265 nimat = ntypes
266 IF( n.LE.0 )
267 \$ nimat = 1
268*
269 izero = 0
270 DO 110 imat = 1, nimat
271*
272* Do the tests only if DOTYPE( IMAT ) is true.
273*
274 IF( .NOT.dotype( imat ) )
275 \$ GO TO 110
276*
277* Skip types 3, 4, or 5 if the matrix size is too small.
278*
279 zerot = imat.GE.3 .AND. imat.LE.5
280 IF( zerot .AND. n.LT.imat-2 )
281 \$ GO TO 110
282*
283* Do first for UPLO = 'U', then for UPLO = 'L'
284*
285 DO 100 iuplo = 1, 2
286 uplo = uplos( iuplo )
287*
288* Set up parameters with DLATB4 and generate a test matrix
289* with DLATMS.
290*
291 CALL dlatb4( path, imat, n, n, TYPE, KL, KU, ANORM, MODE,
292 \$ CNDNUM, DIST )
293*
294 srnamt = 'DLATMS'
295 CALL dlatms( n, n, dist, iseed, TYPE, RWORK, MODE,
296 \$ CNDNUM, ANORM, KL, KU, UPLO, A, LDA, WORK,
297 \$ INFO )
298*
299* Check error code from DLATMS.
300*
301 IF( info.NE.0 ) THEN
302 CALL alaerh( path, 'DLATMS', info, 0, uplo, n, n, -1,
303 \$ -1, -1, imat, nfail, nerrs, nout )
304 GO TO 100
305 END IF
306*
307* For types 3-5, zero one row and column of the matrix to
308* test that INFO is returned correctly.
309*
310 IF( zerot ) THEN
311 IF( imat.EQ.3 ) THEN
312 izero = 1
313 ELSE IF( imat.EQ.4 ) THEN
314 izero = n
315 ELSE
316 izero = n / 2 + 1
317 END IF
318 ioff = ( izero-1 )*lda
319*
320* Set row and column IZERO of A to 0.
321*
322 IF( iuplo.EQ.1 ) THEN
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 + lda
330 30 CONTINUE
331 ELSE
332 ioff = izero
333 DO 40 i = 1, izero - 1
334 a( ioff ) = zero
335 ioff = ioff + lda
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 izero = 0
344 END IF
345*
346* Do for each value of NB in NBVAL
347*
348 DO 90 inb = 1, nnb
349 nb = nbval( inb )
350 CALL xlaenv( 1, nb )
351*
352* Compute the L*L' or U'*U factorization of the matrix.
353*
354 CALL dlacpy( uplo, n, n, a, lda, afac, lda )
355 srnamt = 'DPOTRF'
356 CALL dpotrf( uplo, n, afac, lda, info )
357*
358* Check error code from DPOTRF.
359*
360 IF( info.NE.izero ) THEN
361 CALL alaerh( path, 'DPOTRF', info, izero, uplo, n,
362 \$ n, -1, -1, nb, imat, nfail, nerrs,
363 \$ nout )
364 GO TO 90
365 END IF
366*
367* Skip the tests if INFO is not 0.
368*
369 IF( info.NE.0 )
370 \$ GO TO 90
371*
372*+ TEST 1
373* Reconstruct matrix from factors and compute residual.
374*
375 CALL dlacpy( uplo, n, n, afac, lda, ainv, lda )
376 CALL dpot01( uplo, n, a, lda, ainv, lda, rwork,
377 \$ result( 1 ) )
378*
379*+ TEST 2
380* Form the inverse and compute the residual.
381*
382 CALL dlacpy( uplo, n, n, afac, lda, ainv, lda )
383 srnamt = 'DPOTRI'
384 CALL dpotri( uplo, n, ainv, lda, info )
385*
386* Check error code from DPOTRI.
387*
388 IF( info.NE.0 )
389 \$ CALL alaerh( path, 'DPOTRI', info, 0, uplo, n, n,
390 \$ -1, -1, -1, imat, nfail, nerrs, nout )
391*
392 CALL dpot03( uplo, n, a, lda, ainv, lda, work, lda,
393 \$ rwork, rcondc, result( 2 ) )
394*
395* Print information about the tests that did not pass
396* the threshold.
397*
398 DO 60 k = 1, 2
399 IF( result( k ).GE.thresh ) THEN
400 IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
401 \$ CALL alahd( nout, path )
402 WRITE( nout, fmt = 9999 )uplo, n, nb, imat, k,
403 \$ result( k )
404 nfail = nfail + 1
405 END IF
406 60 CONTINUE
407 nrun = nrun + 2
408*
409* Skip the rest of the tests unless this is the first
410* blocksize.
411*
412 IF( inb.NE.1 )
413 \$ GO TO 90
414*
415 DO 80 irhs = 1, nns
416 nrhs = nsval( irhs )
417*
418*+ TEST 3
419* Solve and compute residual for A * X = B .
420*
421 srnamt = 'DLARHS'
422 CALL dlarhs( path, xtype, uplo, ' ', n, n, kl, ku,
423 \$ nrhs, a, lda, xact, lda, b, lda,
424 \$ iseed, info )
425 CALL dlacpy( 'Full', n, nrhs, b, lda, x, lda )
426*
427 srnamt = 'DPOTRS'
428 CALL dpotrs( uplo, n, nrhs, afac, lda, x, lda,
429 \$ info )
430*
431* Check error code from DPOTRS.
432*
433 IF( info.NE.0 )
434 \$ CALL alaerh( path, 'DPOTRS', info, 0, uplo, n,
435 \$ n, -1, -1, nrhs, imat, nfail,
436 \$ nerrs, nout )
437*
438 CALL dlacpy( 'Full', n, nrhs, b, lda, work, lda )
439 CALL dpot02( uplo, n, nrhs, a, lda, x, lda, work,
440 \$ lda, rwork, result( 3 ) )
441*
442*+ TEST 4
443* Check solution from generated exact solution.
444*
445 CALL dget04( n, nrhs, x, lda, xact, lda, rcondc,
446 \$ result( 4 ) )
447*
448*+ TESTS 5, 6, and 7
449* Use iterative refinement to improve the solution.
450*
451 srnamt = 'DPORFS'
452 CALL dporfs( uplo, n, nrhs, a, lda, afac, lda, b,
453 \$ lda, x, lda, rwork, rwork( nrhs+1 ),
454 \$ work, iwork, info )
455*
456* Check error code from DPORFS.
457*
458 IF( info.NE.0 )
459 \$ CALL alaerh( path, 'DPORFS', info, 0, uplo, n,
460 \$ n, -1, -1, nrhs, imat, nfail,
461 \$ nerrs, nout )
462*
463 CALL dget04( n, nrhs, x, lda, xact, lda, rcondc,
464 \$ result( 5 ) )
465 CALL dpot05( uplo, n, nrhs, a, lda, b, lda, x, lda,
466 \$ xact, lda, rwork, rwork( nrhs+1 ),
467 \$ result( 6 ) )
468*
469* Print information about the tests that did not pass
470* the threshold.
471*
472 DO 70 k = 3, 7
473 IF( result( k ).GE.thresh ) THEN
474 IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
475 \$ CALL alahd( nout, path )
476 WRITE( nout, fmt = 9998 )uplo, n, nrhs,
477 \$ imat, k, result( k )
478 nfail = nfail + 1
479 END IF
480 70 CONTINUE
481 nrun = nrun + 5
482 80 CONTINUE
483*
484*+ TEST 8
485* Get an estimate of RCOND = 1/CNDNUM.
486*
487 anorm = dlansy( '1', uplo, n, a, lda, rwork )
488 srnamt = 'DPOCON'
489 CALL dpocon( uplo, n, afac, lda, anorm, rcond, work,
490 \$ iwork, info )
491*
492* Check error code from DPOCON.
493*
494 IF( info.NE.0 )
495 \$ CALL alaerh( path, 'DPOCON', info, 0, uplo, n, n,
496 \$ -1, -1, -1, imat, nfail, nerrs, nout )
497*
498 result( 8 ) = dget06( rcond, rcondc )
499*
500* Print the test ratio if it is .GE. THRESH.
501*
502 IF( result( 8 ).GE.thresh ) THEN
503 IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
504 \$ CALL alahd( nout, path )
505 WRITE( nout, fmt = 9997 )uplo, n, imat, 8,
506 \$ result( 8 )
507 nfail = nfail + 1
508 END IF
509 nrun = nrun + 1
510 90 CONTINUE
511 100 CONTINUE
512 110 CONTINUE
513 120 CONTINUE
514*
515* Print a summary of the results.
516*
517 CALL alasum( path, nout, nfail, nrun, nerrs )
518*
519 9999 FORMAT( ' UPLO = ''', a1, ''', N =', i5, ', NB =', i4, ', type ',
520 \$ i2, ', test ', i2, ', ratio =', g12.5 )
521 9998 FORMAT( ' UPLO = ''', a1, ''', N =', i5, ', NRHS=', i3, ', type ',
522 \$ i2, ', test(', i2, ') =', g12.5 )
523 9997 FORMAT( ' UPLO = ''', a1, ''', N =', i5, ',', 10x, ' type ', i2,
524 \$ ', test(', i2, ') =', g12.5 )
525 RETURN
526*
527* End of DCHKPO
528*
subroutine alasum(type, nout, nfail, nrun, nerrs)
ALASUM
Definition alasum.f:73
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 xlaenv(ispec, nvalue)
XLAENV
Definition xlaenv.f:81
subroutine alaerh(path, subnam, info, infoe, opts, m, n, kl, ku, n5, imat, nfail, nerrs, nout)
ALAERH
Definition alaerh.f:147
subroutine alahd(iounit, path)
ALAHD
Definition alahd.f:107
subroutine derrpo(path, nunit)
DERRPO
Definition derrpo.f:55
subroutine dget04(n, nrhs, x, ldx, xact, ldxact, rcond, resid)
DGET04
Definition dget04.f:102
double precision function dget06(rcond, rcondc)
DGET06
Definition dget06.f:55
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 dpot01(uplo, n, a, lda, afac, ldafac, rwork, resid)
DPOT01
Definition dpot01.f:104
subroutine dpot02(uplo, n, nrhs, a, lda, x, ldx, b, ldb, rwork, resid)
DPOT02
Definition dpot02.f:127
subroutine dpot03(uplo, n, a, lda, ainv, ldainv, work, ldwork, rwork, rcond, resid)
DPOT03
Definition dpot03.f:125
subroutine dpot05(uplo, n, nrhs, a, lda, b, ldb, x, ldx, xact, ldxact, ferr, berr, reslts)
DPOT05
Definition dpot05.f:164
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
double precision function dlansy(norm, uplo, n, a, lda, work)
DLANSY returns the value of the 1-norm, or the Frobenius norm, or the infinity norm,...
Definition dlansy.f:122
subroutine dpocon(uplo, n, a, lda, anorm, rcond, work, iwork, info)
DPOCON
Definition dpocon.f:121
subroutine dporfs(uplo, n, nrhs, a, lda, af, ldaf, b, ldb, x, ldx, ferr, berr, work, iwork, info)
DPORFS
Definition dporfs.f:183
subroutine dpotrf(uplo, n, a, lda, info)
DPOTRF
Definition dpotrf.f:107
subroutine dpotri(uplo, n, a, lda, info)
DPOTRI
Definition dpotri.f:95
subroutine dpotrs(uplo, n, nrhs, a, lda, b, ldb, info)
DPOTRS
Definition dpotrs.f:110
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