LAPACK  3.10.0 LAPACK: Linear Algebra PACKage

## ◆ schkpo()

 subroutine schkpo ( logical, dimension( * ) DOTYPE, integer NN, integer, dimension( * ) NVAL, integer NNB, integer, dimension( * ) NBVAL, integer NNS, integer, dimension( * ) NSVAL, real THRESH, logical TSTERR, integer NMAX, real, dimension( * ) A, real, dimension( * ) AFAC, real, dimension( * ) AINV, real, dimension( * ) B, real, dimension( * ) X, real, dimension( * ) XACT, real, dimension( * ) WORK, real, dimension( * ) RWORK, integer, dimension( * ) IWORK, integer NOUT )

SCHKPO

Purpose:
` SCHKPO tests SPOTRF, -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 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))``` [out] IWORK ` IWORK is INTEGER array, dimension (NMAX)` [in] NOUT ``` NOUT is INTEGER The unit number for output.```

Definition at line 169 of file schkpo.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  REAL THRESH
181 * ..
182 * .. Array Arguments ..
183  LOGICAL DOTYPE( * )
184  INTEGER IWORK( * ), NBVAL( * ), NSVAL( * ), NVAL( * )
185  REAL A( * ), AFAC( * ), AINV( * ), B( * ),
186  \$ RWORK( * ), WORK( * ), X( * ), XACT( * )
187 * ..
188 *
189 * =====================================================================
190 *
191 * .. Parameters ..
192  REAL ZERO
193  parameter( zero = 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 SGET06, SLANSY
215  EXTERNAL sget06, slansy
216 * ..
217 * .. External Subroutines ..
218  EXTERNAL alaerh, alahd, alasum, serrpo, sget04, slacpy,
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 ) = 'Single 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 serrpo( 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 SLATB4 and generate a test matrix
289 * with SLATMS.
290 *
291  CALL slatb4( path, imat, n, n, TYPE, KL, KU, ANORM, MODE,
292  \$ CNDNUM, DIST )
293 *
294  srnamt = 'SLATMS'
295  CALL slatms( n, n, dist, iseed, TYPE, RWORK, MODE,
296  \$ CNDNUM, ANORM, KL, KU, UPLO, A, LDA, WORK,
297  \$ INFO )
298 *
299 * Check error code from SLATMS.
300 *
301  IF( info.NE.0 ) THEN
302  CALL alaerh( path, 'SLATMS', 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 slacpy( uplo, n, n, a, lda, afac, lda )
355  srnamt = 'SPOTRF'
356  CALL spotrf( uplo, n, afac, lda, info )
357 *
358 * Check error code from SPOTRF.
359 *
360  IF( info.NE.izero ) THEN
361  CALL alaerh( path, 'SPOTRF', 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 slacpy( uplo, n, n, afac, lda, ainv, lda )
376  CALL spot01( 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 slacpy( uplo, n, n, afac, lda, ainv, lda )
383  srnamt = 'SPOTRI'
384  CALL spotri( uplo, n, ainv, lda, info )
385 *
386 * Check error code from SPOTRI.
387 *
388  IF( info.NE.0 )
389  \$ CALL alaerh( path, 'SPOTRI', info, 0, uplo, n, n,
390  \$ -1, -1, -1, imat, nfail, nerrs, nout )
391 *
392  CALL spot03( 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 = 'SLARHS'
422  CALL slarhs( path, xtype, uplo, ' ', n, n, kl, ku,
423  \$ nrhs, a, lda, xact, lda, b, lda,
424  \$ iseed, info )
425  CALL slacpy( 'Full', n, nrhs, b, lda, x, lda )
426 *
427  srnamt = 'SPOTRS'
428  CALL spotrs( uplo, n, nrhs, afac, lda, x, lda,
429  \$ info )
430 *
431 * Check error code from SPOTRS.
432 *
433  IF( info.NE.0 )
434  \$ CALL alaerh( path, 'SPOTRS', info, 0, uplo, n,
435  \$ n, -1, -1, nrhs, imat, nfail,
436  \$ nerrs, nout )
437 *
438  CALL slacpy( 'Full', n, nrhs, b, lda, work, lda )
439  CALL spot02( 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 sget04( 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 = 'SPORFS'
452  CALL sporfs( 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 SPORFS.
457 *
458  IF( info.NE.0 )
459  \$ CALL alaerh( path, 'SPORFS', info, 0, uplo, n,
460  \$ n, -1, -1, nrhs, imat, nfail,
461  \$ nerrs, nout )
462 *
463  CALL sget04( n, nrhs, x, lda, xact, lda, rcondc,
464  \$ result( 5 ) )
465  CALL spot05( 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 = slansy( '1', uplo, n, a, lda, rwork )
488  srnamt = 'SPOCON'
489  CALL spocon( uplo, n, afac, lda, anorm, rcond, work,
490  \$ iwork, info )
491 *
492 * Check error code from SPOCON.
493 *
494  IF( info.NE.0 )
495  \$ CALL alaerh( path, 'SPOCON', info, 0, uplo, n, n,
496  \$ -1, -1, -1, imat, nfail, nerrs, nout )
497 *
498  result( 8 ) = sget06( 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 SCHKPO
528 *
subroutine slacpy(UPLO, M, N, A, LDA, B, LDB)
SLACPY copies all or part of one two-dimensional array to another.
Definition: slacpy.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 slatms(M, N, DIST, ISEED, SYM, D, MODE, COND, DMAX, KL, KU, PACK, A, LDA, WORK, INFO)
SLATMS
Definition: slatms.f:321
subroutine spotri(UPLO, N, A, LDA, INFO)
SPOTRI
Definition: spotri.f:95
subroutine spotrf(UPLO, N, A, LDA, INFO)
SPOTRF
Definition: spotrf.f:107
subroutine spocon(UPLO, N, A, LDA, ANORM, RCOND, WORK, IWORK, INFO)
SPOCON
Definition: spocon.f:121
subroutine sporfs(UPLO, N, NRHS, A, LDA, AF, LDAF, B, LDB, X, LDX, FERR, BERR, WORK, IWORK, INFO)
SPORFS
Definition: sporfs.f:183
subroutine spotrs(UPLO, N, NRHS, A, LDA, B, LDB, INFO)
SPOTRS
Definition: spotrs.f:110
real function slansy(NORM, UPLO, N, A, LDA, WORK)
SLANSY returns the value of the 1-norm, or the Frobenius norm, or the infinity norm,...
Definition: slansy.f:122
subroutine slarhs(PATH, XTYPE, UPLO, TRANS, M, N, KL, KU, NRHS, A, LDA, X, LDX, B, LDB, ISEED, INFO)
SLARHS
Definition: slarhs.f:205
subroutine serrpo(PATH, NUNIT)
SERRPO
Definition: serrpo.f:55
subroutine slatb4(PATH, IMAT, M, N, TYPE, KL, KU, ANORM, MODE, CNDNUM, DIST)
SLATB4
Definition: slatb4.f:120
subroutine spot01(UPLO, N, A, LDA, AFAC, LDAFAC, RWORK, RESID)
SPOT01
Definition: spot01.f:104
subroutine spot05(UPLO, N, NRHS, A, LDA, B, LDB, X, LDX, XACT, LDXACT, FERR, BERR, RESLTS)
SPOT05
Definition: spot05.f:164
subroutine spot03(UPLO, N, A, LDA, AINV, LDAINV, WORK, LDWORK, RWORK, RCOND, RESID)
SPOT03
Definition: spot03.f:125
subroutine sget04(N, NRHS, X, LDX, XACT, LDXACT, RCOND, RESID)
SGET04
Definition: sget04.f:102
subroutine spot02(UPLO, N, NRHS, A, LDA, X, LDX, B, LDB, RWORK, RESID)
SPOT02
Definition: spot02.f:127
real function sget06(RCOND, RCONDC)
SGET06
Definition: sget06.f:55
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