LAPACK  3.10.0
LAPACK: Linear Algebra PACKage

◆ cdrvsy_rook()

subroutine cdrvsy_rook ( logical, dimension( * )  DOTYPE,
integer  NN,
integer, dimension( * )  NVAL,
integer  NRHS,
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 
)

CDRVSY_ROOK

Purpose:
 CDRVSY_ROOK tests the driver routines CSYSV_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 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)
[out]AFAC
          AFAC is COMPLEX array, dimension (NMAX*NMAX)
[out]AINV
          AINV is COMPLEX array, dimension (NMAX*NMAX)
[out]B
          B is COMPLEX array, dimension (NMAX*NRHS)
[out]X
          X is COMPLEX array, dimension (NMAX*NRHS)
[out]XACT
          XACT is COMPLEX array, dimension (NMAX*NRHS)
[out]WORK
 
[out]RWORK
          RWORK is REAL array, dimension (NMAX+2*NRHS)
[out]IWORK
          IWORK is INTEGER array, dimension (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 149 of file cdrvsy_rook.f.

152 *
153 * -- LAPACK test routine --
154 * -- LAPACK is a software package provided by Univ. of Tennessee, --
155 * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
156 *
157 * .. Scalar Arguments ..
158  LOGICAL TSTERR
159  INTEGER NMAX, NN, NOUT, NRHS
160  REAL THRESH
161 * ..
162 * .. Array Arguments ..
163  LOGICAL DOTYPE( * )
164  INTEGER IWORK( * ), NVAL( * )
165  REAL RWORK( * )
166  COMPLEX A( * ), AFAC( * ), AINV( * ), B( * ),
167  $ 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 = 11, 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 MATPATH, PATH
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 * ..
195 * .. External Functions ..
196  REAL CLANSY
197  EXTERNAL clansy
198 * ..
199 * .. External Subroutines ..
200  EXTERNAL aladhd, alaerh, alasvm, xlaenv, cerrvx, cget04,
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 ) = 'Complex precision'
228  path( 2: 3 ) = 'SR'
229 *
230 * Path to generate matrices
231 *
232  matpath( 1: 1 ) = 'Complex 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 cerrvx( 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  IF( imat.NE.ntypes ) THEN
286 *
287 * Begin generate the test matrix A.
288 *
289 * Set up parameters with CLATB4 for the matrix generator
290 * based on the type of matrix to be generated.
291 *
292  CALL clatb4( matpath, imat, n, n, TYPE, KL, KU, ANORM,
293  $ MODE, CNDNUM, DIST )
294 *
295 * Generate a matrix with CLATMS.
296 *
297  srnamt = 'CLATMS'
298  CALL clatms( n, n, dist, iseed, TYPE, RWORK, MODE,
299  $ CNDNUM, ANORM, KL, KU, UPLO, A, LDA,
300  $ WORK, INFO )
301 *
302 * Check error code from CLATMS and handle error.
303 *
304  IF( info.NE.0 ) THEN
305  CALL alaerh( path, 'CLATMS', info, 0, uplo, n, n,
306  $ -1, -1, -1, imat, nfail, nerrs, nout )
307  GO TO 160
308  END IF
309 *
310 * For types 3-6, zero one or more rows and columns of
311 * the matrix to test that INFO is returned correctly.
312 *
313  IF( zerot ) THEN
314  IF( imat.EQ.3 ) THEN
315  izero = 1
316  ELSE IF( imat.EQ.4 ) THEN
317  izero = n
318  ELSE
319  izero = n / 2 + 1
320  END IF
321 *
322  IF( imat.LT.6 ) THEN
323 *
324 * Set row and column IZERO to zero.
325 *
326  IF( iuplo.EQ.1 ) THEN
327  ioff = ( izero-1 )*lda
328  DO 20 i = 1, izero - 1
329  a( ioff+i ) = zero
330  20 CONTINUE
331  ioff = ioff + izero
332  DO 30 i = izero, n
333  a( ioff ) = zero
334  ioff = ioff + lda
335  30 CONTINUE
336  ELSE
337  ioff = izero
338  DO 40 i = 1, izero - 1
339  a( ioff ) = zero
340  ioff = ioff + lda
341  40 CONTINUE
342  ioff = ioff - izero
343  DO 50 i = izero, n
344  a( ioff+i ) = zero
345  50 CONTINUE
346  END IF
347  ELSE
348  IF( iuplo.EQ.1 ) THEN
349 *
350 * Set the first IZERO rows and columns to zero.
351 *
352  ioff = 0
353  DO 70 j = 1, n
354  i2 = min( j, izero )
355  DO 60 i = 1, i2
356  a( ioff+i ) = zero
357  60 CONTINUE
358  ioff = ioff + lda
359  70 CONTINUE
360  ELSE
361 *
362 * Set the first IZERO rows and columns to zero.
363 *
364  ioff = 0
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  ELSE
381 *
382 * IMAT = NTYPES: Use a special block diagonal matrix to
383 * test alternate code for the 2-by-2 blocks.
384 *
385  CALL clatsy( uplo, n, a, lda, iseed )
386  END IF
387 *
388  DO 150 ifact = 1, nfact
389 *
390 * Do first for FACT = 'F', then for other values.
391 *
392  fact = facts( ifact )
393 *
394 * Compute the condition number for comparison with
395 * the value returned by CSYSVX_ROOK.
396 *
397  IF( zerot ) THEN
398  IF( ifact.EQ.1 )
399  $ GO TO 150
400  rcondc = zero
401 *
402  ELSE IF( ifact.EQ.1 ) THEN
403 *
404 * Compute the 1-norm of A.
405 *
406  anorm = clansy( '1', uplo, n, a, lda, rwork )
407 *
408 * Factor the matrix A.
409 *
410 
411  CALL clacpy( uplo, n, n, a, lda, afac, lda )
412  CALL csytrf_rook( uplo, n, afac, lda, iwork, work,
413  $ lwork, info )
414 *
415 * Compute inv(A) and take its norm.
416 *
417  CALL clacpy( uplo, n, n, afac, lda, ainv, lda )
418  lwork = (n+nb+1)*(nb+3)
419  CALL csytri_rook( uplo, n, ainv, lda, iwork,
420  $ work, info )
421  ainvnm = clansy( '1', uplo, n, ainv, lda, rwork )
422 *
423 * Compute the 1-norm condition number of A.
424 *
425  IF( anorm.LE.zero .OR. ainvnm.LE.zero ) THEN
426  rcondc = one
427  ELSE
428  rcondc = ( one / anorm ) / ainvnm
429  END IF
430  END IF
431 *
432 * Form an exact solution and set the right hand side.
433 *
434  srnamt = 'CLARHS'
435  CALL clarhs( matpath, xtype, uplo, ' ', n, n, kl, ku,
436  $ nrhs, a, lda, xact, lda, b, lda, iseed,
437  $ info )
438  xtype = 'C'
439 *
440 * --- Test CSYSV_ROOK ---
441 *
442  IF( ifact.EQ.2 ) THEN
443  CALL clacpy( uplo, n, n, a, lda, afac, lda )
444  CALL clacpy( 'Full', n, nrhs, b, lda, x, lda )
445 *
446 * Factor the matrix and solve the system using
447 * CSYSV_ROOK.
448 *
449  srnamt = 'CSYSV_ROOK'
450  CALL csysv_rook( uplo, n, nrhs, afac, lda, iwork,
451  $ x, lda, work, lwork, info )
452 *
453 * Adjust the expected value of INFO to account for
454 * pivoting.
455 *
456  k = izero
457  IF( k.GT.0 ) THEN
458  100 CONTINUE
459  IF( iwork( k ).LT.0 ) THEN
460  IF( iwork( k ).NE.-k ) THEN
461  k = -iwork( k )
462  GO TO 100
463  END IF
464  ELSE IF( iwork( k ).NE.k ) THEN
465  k = iwork( k )
466  GO TO 100
467  END IF
468  END IF
469 *
470 * Check error code from CSYSV_ROOK and handle error.
471 *
472  IF( info.NE.k ) THEN
473  CALL alaerh( path, 'CSYSV_ROOK', info, k, uplo,
474  $ n, n, -1, -1, nrhs, imat, nfail,
475  $ nerrs, nout )
476  GO TO 120
477  ELSE IF( info.NE.0 ) THEN
478  GO TO 120
479  END IF
480 *
481 *+ TEST 1 Reconstruct matrix from factors and compute
482 * residual.
483 *
484  CALL csyt01_rook( uplo, n, a, lda, afac, lda,
485  $ iwork, ainv, lda, rwork,
486  $ result( 1 ) )
487 *
488 *+ TEST 2 Compute residual of the computed solution.
489 *
490  CALL clacpy( 'Full', n, nrhs, b, lda, work, lda )
491  CALL csyt02( uplo, n, nrhs, a, lda, x, lda, work,
492  $ lda, rwork, result( 2 ) )
493 *
494 *+ TEST 3
495 * Check solution from generated exact solution.
496 *
497  CALL cget04( n, nrhs, x, lda, xact, lda, rcondc,
498  $ result( 3 ) )
499  nt = 3
500 *
501 * Print information about the tests that did not pass
502 * the threshold.
503 *
504  DO 110 k = 1, nt
505  IF( result( k ).GE.thresh ) THEN
506  IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
507  $ CALL aladhd( nout, path )
508  WRITE( nout, fmt = 9999 )'CSYSV_ROOK', uplo,
509  $ n, imat, k, result( k )
510  nfail = nfail + 1
511  END IF
512  110 CONTINUE
513  nrun = nrun + nt
514  120 CONTINUE
515  END IF
516 *
517  150 CONTINUE
518 *
519  160 CONTINUE
520  170 CONTINUE
521  180 CONTINUE
522 *
523 * Print a summary of the results.
524 *
525  CALL alasvm( path, nout, nfail, nrun, nerrs )
526 *
527  9999 FORMAT( 1x, a, ', UPLO=''', a1, ''', N =', i5, ', type ', i2,
528  $ ', test ', i2, ', ratio =', g12.5 )
529  RETURN
530 *
531 * End of CDRVSY_ROOK
532 *
subroutine alasvm(TYPE, NOUT, NFAIL, NRUN, NERRS)
ALASVM
Definition: alasvm.f:73
subroutine xlaenv(ISPEC, NVALUE)
XLAENV
Definition: xlaenv.f:81
subroutine aladhd(IOUNIT, PATH)
ALADHD
Definition: aladhd.f:90
subroutine alaerh(PATH, SUBNAM, INFO, INFOE, OPTS, M, N, KL, KU, N5, IMAT, NFAIL, NERRS, NOUT)
ALAERH
Definition: alaerh.f:147
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 cpot05(UPLO, N, NRHS, A, LDA, B, LDB, X, LDX, XACT, LDXACT, FERR, BERR, RESLTS)
CPOT05
Definition: cpot05.f:165
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 csyt01_rook(UPLO, N, A, LDA, AFAC, LDAFAC, IPIV, C, LDC, RWORK, RESID)
CSYT01_ROOK
Definition: csyt01_rook.f:125
subroutine cerrvx(PATH, NUNIT)
CERRVX
Definition: cerrvx.f:55
subroutine csyt02(UPLO, N, NRHS, A, LDA, X, LDX, B, LDB, RWORK, RESID)
CSYT02
Definition: csyt02.f:127
subroutine clatsy(UPLO, N, X, LDX, ISEED)
CLATSY
Definition: clatsy.f:89
subroutine clatms(M, N, DIST, ISEED, SYM, D, MODE, COND, DMAX, KL, KU, PACK, A, LDA, WORK, INFO)
CLATMS
Definition: clatms.f:332
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
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
real function clansy(NORM, UPLO, N, A, LDA, WORK)
CLANSY returns the value of the 1-norm, or the Frobenius norm, or the infinity norm,...
Definition: clansy.f:123
subroutine csytrf_rook(UPLO, N, A, LDA, IPIV, WORK, LWORK, INFO)
CSYTRF_ROOK
Definition: csytrf_rook.f:208
subroutine csytri_rook(UPLO, N, A, LDA, IPIV, WORK, INFO)
CSYTRI_ROOK
Definition: csytri_rook.f:129
subroutine csysv_rook(UPLO, N, NRHS, A, LDA, IPIV, B, LDB, WORK, LWORK, INFO)
CSYSV_ROOK computes the solution to system of linear equations A * X = B for SY matrices
Definition: csysv_rook.f:204
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