LAPACK  3.10.0
LAPACK: Linear Algebra PACKage

◆ cdrvsy_aa()

subroutine cdrvsy_aa ( 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_AA

Purpose:
 CDRVSY_AA tests the driver routine CSYSV_AA.
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 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 cdrvsy_aa.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 RWORK( * )
167  COMPLEX A( * ), AFAC( * ), AINV( * ), B( * ),
168  $ WORK( * ), X( * ), XACT( * )
169 * ..
170 *
171 * =====================================================================
172 *
173 * .. Parameters ..
174  REAL ZERO
175  parameter( zero = 0.0d+0 )
176  COMPLEX CZERO
177  parameter( czero = 0.0e+0 )
178  INTEGER NTYPES, NTESTS
179  parameter( ntypes = 10, ntests = 3 )
180  INTEGER NFACT
181  parameter( nfact = 2 )
182 * ..
183 * .. Local Scalars ..
184  LOGICAL ZEROT
185  CHARACTER DIST, FACT, TYPE, UPLO, XTYPE
186  CHARACTER*3 MATPATH, PATH
187  INTEGER I, I1, I2, IFACT, IMAT, IN, INFO, IOFF, IUPLO,
188  $ IZERO, J, K, KL, KU, LDA, LWORK, MODE, N,
189  $ NB, NBMIN, NERRS, NFAIL, NIMAT, NRUN, NT
190  REAL ANORM, CNDNUM
191 * ..
192 * .. Local Arrays ..
193  CHARACTER FACTS( NFACT ), UPLOS( 2 )
194  INTEGER ISEED( 4 ), ISEEDY( 4 )
195  REAL RESULT( NTESTS )
196 * ..
197 * .. External Functions ..
198  REAL DGET06, CLANSY
199  EXTERNAL dget06, clansy
200 * ..
201 * .. External Subroutines ..
202  EXTERNAL aladhd, alaerh, alasvm, cerrvx, cget04, clacpy,
205 * ..
206 * .. Scalars in Common ..
207  LOGICAL LERR, OK
208  CHARACTER*32 SRNAMT
209  INTEGER INFOT, NUNIT
210 * ..
211 * .. Common blocks ..
212  COMMON / infoc / infot, nunit, ok, lerr
213  COMMON / srnamc / srnamt
214 * ..
215 * .. Intrinsic Functions ..
216  INTRINSIC max, min
217 * ..
218 * .. Data statements ..
219  DATA iseedy / 1988, 1989, 1990, 1991 /
220  DATA uplos / 'U', 'L' / , facts / 'F', 'N' /
221 * ..
222 * .. Executable Statements ..
223 *
224 * Initialize constants and the random number seed.
225 *
226 * Test path
227 *
228  path( 1: 1 ) = 'Complex precision'
229  path( 2: 3 ) = 'SA'
230 *
231 * Path to generate matrices
232 *
233  matpath( 1: 1 ) = 'Complex precision'
234  matpath( 2: 3 ) = 'SY'
235 *
236  nrun = 0
237  nfail = 0
238  nerrs = 0
239  DO 10 i = 1, 4
240  iseed( i ) = iseedy( i )
241  10 CONTINUE
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 testing.
250 *
251  nb = 1
252  nbmin = 2
253  CALL xlaenv( 1, nb )
254  CALL xlaenv( 2, nbmin )
255 *
256 * Do for each value of N in NVAL
257 *
258  DO 180 in = 1, nn
259  n = nval( in )
260  lwork = max( 3*n-2, n*(1+nb) )
261  lwork = max( lwork, 1 )
262  lda = max( n, 1 )
263  xtype = 'N'
264  nimat = ntypes
265  IF( n.LE.0 )
266  $ nimat = 1
267 *
268  DO 170 imat = 1, nimat
269 *
270 * Do the tests only if DOTYPE( IMAT ) is true.
271 *
272  IF( .NOT.dotype( imat ) )
273  $ GO TO 170
274 *
275 * Skip types 3, 4, 5, or 6 if the matrix size is too small.
276 *
277  zerot = imat.GE.3 .AND. imat.LE.6
278  IF( zerot .AND. n.LT.imat-2 )
279  $ GO TO 170
280 *
281 * Do first for UPLO = 'U', then for UPLO = 'L'
282 *
283  DO 160 iuplo = 1, 2
284  uplo = uplos( iuplo )
285 *
286 * Set up parameters with CLATB4 and generate a test matrix
287 * with CLATMS.
288 *
289  CALL clatb4( matpath, imat, n, n, TYPE, KL, KU, ANORM,
290  $ MODE, CNDNUM, DIST )
291 *
292  srnamt = 'CLATMS'
293  CALL clatms( n, n, dist, iseed, TYPE, RWORK, MODE,
294  $ CNDNUM, ANORM, KL, KU, UPLO, A, LDA, WORK,
295  $ INFO )
296 *
297 * Check error code from CLATMS.
298 *
299  IF( info.NE.0 ) THEN
300  CALL alaerh( path, 'CLATMS', info, 0, uplo, n, n, -1,
301  $ -1, -1, imat, nfail, nerrs, nout )
302  GO TO 160
303  END IF
304 *
305 * For types 3-6, zero one or more rows and columns of the
306 * matrix to test that INFO is returned correctly.
307 *
308  IF( zerot ) THEN
309  IF( imat.EQ.3 ) THEN
310  izero = 1
311  ELSE IF( imat.EQ.4 ) THEN
312  izero = n
313  ELSE
314  izero = n / 2 + 1
315  END IF
316 *
317  IF( imat.LT.6 ) THEN
318 *
319 * Set row and column IZERO to zero.
320 *
321  IF( iuplo.EQ.1 ) THEN
322  ioff = ( izero-1 )*lda
323  DO 20 i = 1, izero - 1
324  a( ioff+i ) = czero
325  20 CONTINUE
326  ioff = ioff + izero
327  DO 30 i = izero, n
328  a( ioff ) = czero
329  ioff = ioff + lda
330  30 CONTINUE
331  ELSE
332  ioff = izero
333  DO 40 i = 1, izero - 1
334  a( ioff ) = czero
335  ioff = ioff + lda
336  40 CONTINUE
337  ioff = ioff - izero
338  DO 50 i = izero, n
339  a( ioff+i ) = czero
340  50 CONTINUE
341  END IF
342  ELSE
343  ioff = 0
344  IF( iuplo.EQ.1 ) THEN
345 *
346 * Set the first IZERO rows and columns to zero.
347 *
348  DO 70 j = 1, n
349  i2 = min( j, izero )
350  DO 60 i = 1, i2
351  a( ioff+i ) = czero
352  60 CONTINUE
353  ioff = ioff + lda
354  70 CONTINUE
355  izero = 1
356  ELSE
357 *
358 * Set the last IZERO rows and columns to zero.
359 *
360  DO 90 j = 1, n
361  i1 = max( j, izero )
362  DO 80 i = i1, n
363  a( ioff+i ) = czero
364  80 CONTINUE
365  ioff = ioff + lda
366  90 CONTINUE
367  END IF
368  END IF
369  ELSE
370  izero = 0
371  END IF
372 *
373  DO 150 ifact = 1, nfact
374 *
375 * Do first for FACT = 'F', then for other values.
376 *
377  fact = facts( ifact )
378 *
379 * Form an exact solution and set the right hand side.
380 *
381  srnamt = 'CLARHS'
382  CALL clarhs( matpath, xtype, uplo, ' ', n, n, kl, ku,
383  $ nrhs, a, lda, xact, lda, b, lda, iseed,
384  $ info )
385  xtype = 'C'
386 *
387 * --- Test CSYSV_AA ---
388 *
389  IF( ifact.EQ.2 ) THEN
390  CALL clacpy( uplo, n, n, a, lda, afac, lda )
391  CALL clacpy( 'Full', n, nrhs, b, lda, x, lda )
392 *
393 * Factor the matrix and solve the system using CSYSV_AA.
394 *
395  srnamt = 'CSYSV_AA'
396  CALL csysv_aa( uplo, n, nrhs, afac, lda, iwork,
397  $ x, lda, work, lwork, info )
398 *
399 * Adjust the expected value of INFO to account for
400 * pivoting.
401 *
402  IF( izero.GT.0 ) THEN
403  j = 1
404  k = izero
405  100 CONTINUE
406  IF( j.EQ.k ) THEN
407  k = iwork( j )
408  ELSE IF( iwork( j ).EQ.k ) THEN
409  k = j
410  END IF
411  IF( j.LT.k ) THEN
412  j = j + 1
413  GO TO 100
414  END IF
415  ELSE
416  k = 0
417  END IF
418 *
419 * Check error code from CSYSV_AA .
420 *
421  IF( info.NE.k ) THEN
422  CALL alaerh( path, 'CSYSV_AA ', info, k,
423  $ uplo, n, n, -1, -1, nrhs,
424  $ imat, nfail, nerrs, nout )
425  GO TO 120
426  ELSE IF( info.NE.0 ) THEN
427  GO TO 120
428  END IF
429 *
430 * Reconstruct matrix from factors and compute
431 * residual.
432 *
433  CALL csyt01_aa( uplo, n, a, lda, afac, lda,
434  $ iwork, ainv, lda, rwork,
435  $ result( 1 ) )
436 *
437 * Compute residual of the computed solution.
438 *
439  CALL clacpy( 'Full', n, nrhs, b, lda, work, lda )
440  CALL csyt02( uplo, n, nrhs, a, lda, x, lda, work,
441  $ lda, rwork, result( 2 ) )
442  nt = 2
443 *
444 * Print information about the tests that did not pass
445 * the threshold.
446 *
447  DO 110 k = 1, nt
448  IF( result( k ).GE.thresh ) THEN
449  IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
450  $ CALL aladhd( nout, path )
451  WRITE( nout, fmt = 9999 )'CSYSV_AA ',
452  $ uplo, n, imat, k, result( k )
453  nfail = nfail + 1
454  END IF
455  110 CONTINUE
456  nrun = nrun + nt
457  120 CONTINUE
458  END IF
459 *
460  150 CONTINUE
461 *
462  160 CONTINUE
463  170 CONTINUE
464  180 CONTINUE
465 *
466 * Print a summary of the results.
467 *
468  CALL alasvm( path, nout, nfail, nrun, nerrs )
469 *
470  9999 FORMAT( 1x, a, ', UPLO=''', a1, ''', N =', i5, ', type ', i2,
471  $ ', test ', i2, ', ratio =', g12.5 )
472  RETURN
473 *
474 * End of CDRVSY_AA
475 *
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 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_aa(UPLO, N, A, LDA, AFAC, LDAFAC, IPIV, C, LDC, RWORK, RESID)
CSYT01
Definition: csyt01_aa.f:124
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 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_aa(UPLO, N, A, LDA, IPIV, WORK, LWORK, INFO)
CSYTRF_AA
Definition: csytrf_aa.f:132
subroutine csysv_aa(UPLO, N, NRHS, A, LDA, IPIV, B, LDB, WORK, LWORK, INFO)
CSYSV_AA computes the solution to system of linear equations A * X = B for SY matrices
Definition: csysv_aa.f:162
double precision function dget06(RCOND, RCONDC)
DGET06
Definition: dget06.f:55
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