LAPACK 3.12.0
LAPACK: Linear Algebra PACKage
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◆ sdrvsy_rook()

subroutine sdrvsy_rook ( logical, dimension( * )  dotype,
integer  nn,
integer, dimension( * )  nval,
integer  nrhs,
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 
)

SDRVSY_ROOK

Purpose:
 SDRVSY_ROOK tests the driver routines SSYSV_ROOK.
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]NRHS
          NRHS is INTEGER
          The number of right hand side vectors to be generated for
          each linear system.
[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 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*NRHS)
[out]X
          X is REAL array, dimension (NMAX*NRHS)
[out]XACT
          XACT is REAL array, dimension (NMAX*NRHS)
[out]WORK
          WORK is REAL array, dimension
                      (NMAX*max(2,NRHS))
[out]RWORK
          RWORK is REAL array, dimension (NMAX+2*NRHS)
[out]IWORK
          IWORK is INTEGER array, dimension (2*NMAX)
[in]NOUT
          NOUT is INTEGER
          The unit number for output.
Author
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.

Definition at line 150 of file sdrvsy_rook.f.

153*
154* -- LAPACK test routine --
155* -- LAPACK is a software package provided by Univ. of Tennessee, --
156* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
157*
158* .. Scalar Arguments ..
159 LOGICAL TSTERR
160 INTEGER NMAX, NN, NOUT, NRHS
161 REAL THRESH
162* ..
163* .. Array Arguments ..
164 LOGICAL DOTYPE( * )
165 INTEGER IWORK( * ), NVAL( * )
166 REAL A( * ), AFAC( * ), AINV( * ), B( * ),
167 $ RWORK( * ), WORK( * ), X( * ), XACT( * )
168* ..
169*
170* =====================================================================
171*
172* .. Parameters ..
173 REAL ONE, ZERO
174 parameter( one = 1.0e+0, zero = 0.0e+0 )
175 INTEGER NTYPES, NTESTS
176 parameter( ntypes = 10, ntests = 3 )
177 INTEGER NFACT
178 parameter( nfact = 2 )
179* ..
180* .. Local Scalars ..
181 LOGICAL ZEROT
182 CHARACTER DIST, FACT, TYPE, UPLO, XTYPE
183 CHARACTER*3 PATH, MATPATH
184 INTEGER I, I1, I2, IFACT, IMAT, IN, INFO, IOFF, IUPLO,
185 $ IZERO, J, K, KL, KU, LDA, LWORK, MODE, N,
186 $ NB, NBMIN, NERRS, NFAIL, NIMAT, NRUN, NT
187 REAL AINVNM, ANORM, CNDNUM, RCONDC
188* ..
189* .. Local Arrays ..
190 CHARACTER FACTS( NFACT ), UPLOS( 2 )
191 INTEGER ISEED( 4 ), ISEEDY( 4 )
192 REAL RESULT( NTESTS )
193* ..
194* .. External Functions ..
195 REAL SLANSY
196 EXTERNAL slansy
197* ..
198* .. External Subroutines ..
199 EXTERNAL aladhd, alaerh, alasvm, serrvx, sget04, slacpy,
200 $ slarhs, slaset, slatb4, slatms, spot02, spot05,
201 $ ssysv_rook, ssyt01_rook, ssytrf_rook,
202 $ ssytri_rook,
203 $ xlaenv
204* ..
205* .. Scalars in Common ..
206 LOGICAL LERR, OK
207 CHARACTER*32 SRNAMT
208 INTEGER INFOT, NUNIT
209* ..
210* .. Common blocks ..
211 COMMON / infoc / infot, nunit, ok, lerr
212 COMMON / srnamc / srnamt
213* ..
214* .. Intrinsic Functions ..
215 INTRINSIC max, min
216* ..
217* .. Data statements ..
218 DATA iseedy / 1988, 1989, 1990, 1991 /
219 DATA uplos / 'U', 'L' / , facts / 'F', 'N' /
220* ..
221* .. Executable Statements ..
222*
223* Initialize constants and the random number seed.
224*
225* Test path
226*
227 path( 1: 1 ) = 'Single precision'
228 path( 2: 3 ) = 'SR'
229*
230* Path to generate matrices
231*
232 matpath( 1: 1 ) = 'Single precision'
233 matpath( 2: 3 ) = 'SY'
234*
235 nrun = 0
236 nfail = 0
237 nerrs = 0
238 DO 10 i = 1, 4
239 iseed( i ) = iseedy( i )
240 10 CONTINUE
241 lwork = max( 2*nmax, nmax*nrhs )
242*
243* Test the error exits
244*
245 IF( tsterr )
246 $ CALL serrvx( path, nout )
247 infot = 0
248*
249* Set the block size and minimum block size for which the block
250* routine should be used, which will be later returned by ILAENV.
251*
252 nb = 1
253 nbmin = 2
254 CALL xlaenv( 1, nb )
255 CALL xlaenv( 2, nbmin )
256*
257* Do for each value of N in NVAL
258*
259 DO 180 in = 1, nn
260 n = nval( in )
261 lda = max( n, 1 )
262 xtype = 'N'
263 nimat = ntypes
264 IF( n.LE.0 )
265 $ nimat = 1
266*
267 DO 170 imat = 1, nimat
268*
269* Do the tests only if DOTYPE( IMAT ) is true.
270*
271 IF( .NOT.dotype( imat ) )
272 $ GO TO 170
273*
274* Skip types 3, 4, 5, or 6 if the matrix size is too small.
275*
276 zerot = imat.GE.3 .AND. imat.LE.6
277 IF( zerot .AND. n.LT.imat-2 )
278 $ GO TO 170
279*
280* Do first for UPLO = 'U', then for UPLO = 'L'
281*
282 DO 160 iuplo = 1, 2
283 uplo = uplos( iuplo )
284*
285* Begin generate the test matrix A.
286*
287* Set up parameters with SLATB4 for the matrix generator
288* based on the type of matrix to be generated.
289*
290 CALL slatb4( matpath, imat, n, n, TYPE, KL, KU, ANORM,
291 $ MODE, CNDNUM, DIST )
292*
293* Generate a matrix with SLATMS.
294*
295 srnamt = 'SLATMS'
296 CALL slatms( n, n, dist, iseed, TYPE, RWORK, MODE,
297 $ CNDNUM, ANORM, KL, KU, UPLO, A, LDA, WORK,
298 $ INFO )
299*
300* Check error code from SLATMS and handle error.
301*
302 IF( info.NE.0 ) THEN
303 CALL alaerh( path, 'SLATMS', info, 0, uplo, n, n, -1,
304 $ -1, -1, imat, nfail, nerrs, nout )
305*
306* Skip all tests for this generated matrix
307*
308 GO TO 160
309 END IF
310*
311* For types 3-6, zero one or more rows and columns of the
312* matrix to test that INFO is returned correctly.
313*
314 IF( zerot ) THEN
315 IF( imat.EQ.3 ) THEN
316 izero = 1
317 ELSE IF( imat.EQ.4 ) THEN
318 izero = n
319 ELSE
320 izero = n / 2 + 1
321 END IF
322*
323 IF( imat.LT.6 ) THEN
324*
325* Set row and column IZERO to zero.
326*
327 IF( iuplo.EQ.1 ) THEN
328 ioff = ( izero-1 )*lda
329 DO 20 i = 1, izero - 1
330 a( ioff+i ) = zero
331 20 CONTINUE
332 ioff = ioff + izero
333 DO 30 i = izero, n
334 a( ioff ) = zero
335 ioff = ioff + lda
336 30 CONTINUE
337 ELSE
338 ioff = izero
339 DO 40 i = 1, izero - 1
340 a( ioff ) = zero
341 ioff = ioff + lda
342 40 CONTINUE
343 ioff = ioff - izero
344 DO 50 i = izero, n
345 a( ioff+i ) = zero
346 50 CONTINUE
347 END IF
348 ELSE
349 ioff = 0
350 IF( iuplo.EQ.1 ) THEN
351*
352* Set the first IZERO rows and columns to zero.
353*
354 DO 70 j = 1, n
355 i2 = min( j, izero )
356 DO 60 i = 1, i2
357 a( ioff+i ) = zero
358 60 CONTINUE
359 ioff = ioff + lda
360 70 CONTINUE
361 ELSE
362*
363* Set the last IZERO rows and columns to zero.
364*
365 DO 90 j = 1, n
366 i1 = max( j, izero )
367 DO 80 i = i1, n
368 a( ioff+i ) = zero
369 80 CONTINUE
370 ioff = ioff + lda
371 90 CONTINUE
372 END IF
373 END IF
374 ELSE
375 izero = 0
376 END IF
377*
378* End generate the test matrix A.
379*
380 DO 150 ifact = 1, nfact
381*
382* Do first for FACT = 'F', then for other values.
383*
384 fact = facts( ifact )
385*
386* Compute the condition number for comparison with
387* the value returned by DSYSVX_ROOK.
388*
389 IF( zerot ) THEN
390 IF( ifact.EQ.1 )
391 $ GO TO 150
392 rcondc = zero
393*
394 ELSE IF( ifact.EQ.1 ) THEN
395*
396* Compute the 1-norm of A.
397*
398 anorm = slansy( '1', uplo, n, a, lda, rwork )
399*
400* Factor the matrix A.
401*
402 CALL slacpy( uplo, n, n, a, lda, afac, lda )
403 CALL ssytrf_rook( uplo, n, afac, lda, iwork, work,
404 $ lwork, info )
405*
406* Compute inv(A) and take its norm.
407*
408 CALL slacpy( uplo, n, n, afac, lda, ainv, lda )
409 lwork = (n+nb+1)*(nb+3)
410 CALL ssytri_rook( uplo, n, ainv, lda, iwork,
411 $ work, info )
412 ainvnm = slansy( '1', uplo, n, ainv, lda, rwork )
413*
414* Compute the 1-norm condition number of A.
415*
416 IF( anorm.LE.zero .OR. ainvnm.LE.zero ) THEN
417 rcondc = one
418 ELSE
419 rcondc = ( one / anorm ) / ainvnm
420 END IF
421 END IF
422*
423* Form an exact solution and set the right hand side.
424*
425 srnamt = 'SLARHS'
426 CALL slarhs( matpath, xtype, uplo, ' ', n, n, kl, ku,
427 $ nrhs, a, lda, xact, lda, b, lda, iseed,
428 $ info )
429 xtype = 'C'
430*
431* --- Test SSYSV_ROOK ---
432*
433 IF( ifact.EQ.2 ) THEN
434 CALL slacpy( uplo, n, n, a, lda, afac, lda )
435 CALL slacpy( 'Full', n, nrhs, b, lda, x, lda )
436*
437* Factor the matrix and solve the system using
438* SSYSV_ROOK.
439*
440 srnamt = 'SSYSV_ROOK'
441 CALL ssysv_rook( uplo, n, nrhs, afac, lda, iwork,
442 $ x, lda, work, lwork, info )
443*
444* Adjust the expected value of INFO to account for
445* pivoting.
446*
447 k = izero
448 IF( k.GT.0 ) THEN
449 100 CONTINUE
450 IF( iwork( k ).LT.0 ) THEN
451 IF( iwork( k ).NE.-k ) THEN
452 k = -iwork( k )
453 GO TO 100
454 END IF
455 ELSE IF( iwork( k ).NE.k ) THEN
456 k = iwork( k )
457 GO TO 100
458 END IF
459 END IF
460*
461* Check error code from SSYSV_ROOK and handle error.
462*
463 IF( info.NE.k ) THEN
464 CALL alaerh( path, 'SSYSV_ROOK', info, k, uplo,
465 $ n, n, -1, -1, nrhs, imat, nfail,
466 $ nerrs, nout )
467 GO TO 120
468 ELSE IF( info.NE.0 ) THEN
469 GO TO 120
470 END IF
471*
472*+ TEST 1 Reconstruct matrix from factors and compute
473* residual.
474*
475 CALL ssyt01_rook( uplo, n, a, lda, afac, lda,
476 $ iwork, ainv, lda, rwork,
477 $ result( 1 ) )
478*
479*+ TEST 2 Compute residual of the computed solution.
480*
481 CALL slacpy( 'Full', n, nrhs, b, lda, work, lda )
482 CALL spot02( uplo, n, nrhs, a, lda, x, lda, work,
483 $ lda, rwork, result( 2 ) )
484*
485*+ TEST 3
486* Check solution from generated exact solution.
487*
488 CALL sget04( n, nrhs, x, lda, xact, lda, rcondc,
489 $ result( 3 ) )
490 nt = 3
491*
492* Print information about the tests that did not pass
493* the threshold.
494*
495 DO 110 k = 1, nt
496 IF( result( k ).GE.thresh ) THEN
497 IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
498 $ CALL aladhd( nout, path )
499 WRITE( nout, fmt = 9999 )'SSYSV_ROOK', uplo,
500 $ n, imat, k, result( k )
501 nfail = nfail + 1
502 END IF
503 110 CONTINUE
504 nrun = nrun + nt
505 120 CONTINUE
506 END IF
507*
508 150 CONTINUE
509*
510 160 CONTINUE
511 170 CONTINUE
512 180 CONTINUE
513*
514* Print a summary of the results.
515*
516 CALL alasvm( path, nout, nfail, nrun, nerrs )
517*
518 9999 FORMAT( 1x, a, ', UPLO=''', a1, ''', N =', i5, ', type ', i2,
519 $ ', test ', i2, ', ratio =', g12.5 )
520 RETURN
521*
522* End of SDRVSY_ROOK
523*
alasvm
subroutine alasvm(type, nout, nfail, nrun, nerrs)
ALASVM
Definition alasvm.f:73
slarhs
subroutine slarhs(path, xtype, uplo, trans, m, n, kl, ku, nrhs, a, lda, x, ldx, b, ldb, iseed, info)
SLARHS
Definition slarhs.f:205
xlaenv
subroutine xlaenv(ispec, nvalue)
XLAENV
Definition xlaenv.f:81
aladhd
subroutine aladhd(iounit, path)
ALADHD
Definition aladhd.f:90
alaerh
subroutine alaerh(path, subnam, info, infoe, opts, m, n, kl, ku, n5, imat, nfail, nerrs, nout)
ALAERH
Definition alaerh.f:147
ssysv_rook
subroutine ssysv_rook(uplo, n, nrhs, a, lda, ipiv, b, ldb, work, lwork, info)
SSYSV_ROOK computes the solution to system of linear equations A * X = B for SY matrices
Definition ssysv_rook.f:204
ssytrf_rook
subroutine ssytrf_rook(uplo, n, a, lda, ipiv, work, lwork, info)
SSYTRF_ROOK
Definition ssytrf_rook.f:208
ssytri_rook
subroutine ssytri_rook(uplo, n, a, lda, ipiv, work, info)
SSYTRI_ROOK
Definition ssytri_rook.f:129
slacpy
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
slansy
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
slaset
subroutine slaset(uplo, m, n, alpha, beta, a, lda)
SLASET initializes the off-diagonal elements and the diagonal elements of a matrix to given values.
Definition slaset.f:110
serrvx
subroutine serrvx(path, nunit)
SERRVX
Definition serrvx.f:55
sget04
subroutine sget04(n, nrhs, x, ldx, xact, ldxact, rcond, resid)
SGET04
Definition sget04.f:102
slatb4
subroutine slatb4(path, imat, m, n, type, kl, ku, anorm, mode, cndnum, dist)
SLATB4
Definition slatb4.f:120
slatms
subroutine slatms(m, n, dist, iseed, sym, d, mode, cond, dmax, kl, ku, pack, a, lda, work, info)
SLATMS
Definition slatms.f:321
spot02
subroutine spot02(uplo, n, nrhs, a, lda, x, ldx, b, ldb, rwork, resid)
SPOT02
Definition spot02.f:127
spot05
subroutine spot05(uplo, n, nrhs, a, lda, b, ldb, x, ldx, xact, ldxact, ferr, berr, reslts)
SPOT05
Definition spot05.f:164
ssyt01_rook
subroutine ssyt01_rook(uplo, n, a, lda, afac, ldafac, ipiv, c, ldc, rwork, resid)
SSYT01_ROOK
Definition ssyt01_rook.f:124
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