LAPACK  3.8.0 LAPACK: Linear Algebra PACKage

## ◆ zdrvsy_aa()

 subroutine zdrvsy_aa ( logical, dimension( * ) DOTYPE, integer NN, integer, dimension( * ) NVAL, integer NRHS, double precision THRESH, logical TSTERR, integer NMAX, complex*16, dimension( * ) A, complex*16, dimension( * ) AFAC, complex*16, dimension( * ) AINV, complex*16, dimension( * ) B, complex*16, dimension( * ) X, complex*16, dimension( * ) XACT, complex*16, dimension( * ) WORK, double precision, dimension( * ) RWORK, integer, dimension( * ) IWORK, integer NOUT )

ZDRVSY_AA

Purpose:
` ZDRVSY_AA tests the driver routine ZSYSV_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 COMPLEX*16 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*16 array, dimension (NMAX*NMAX)` [out] AFAC ` AFAC is COMPLEX*16 array, dimension (NMAX*NMAX)` [out] AINV ` AINV is COMPLEX*16 array, dimension (NMAX*NMAX)` [out] B ` B is COMPLEX*16 array, dimension (NMAX*NRHS)` [out] X ` X is COMPLEX*16 array, dimension (NMAX*NRHS)` [out] XACT ` XACT is COMPLEX*16 array, dimension (NMAX*NRHS)` [out] WORK ` WORK is COMPLEX*16 array, dimension (NMAX*max(2,NRHS))` [out] RWORK ` RWORK is COMPLEX*16 array, dimension (NMAX+2*NRHS)` [out] IWORK ` IWORK is INTEGER array, dimension (2*NMAX)` [in] NOUT ``` NOUT is INTEGER The unit number for output.```
Date
November 2017

Definition at line 155 of file zdrvsy_aa.f.

155 *
156 * -- LAPACK test routine (version 3.8.0) --
157 * -- LAPACK is a software package provided by Univ. of Tennessee, --
158 * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
159 * November 2017
160 *
161 * .. Scalar Arguments ..
162  LOGICAL tsterr
163  INTEGER nmax, nn, nout, nrhs
164  DOUBLE PRECISION thresh
165 * ..
166 * .. Array Arguments ..
167  LOGICAL dotype( * )
168  INTEGER iwork( * ), nval( * )
169  DOUBLE PRECISION rwork( * )
170  COMPLEX*16 a( * ), afac( * ), ainv( * ), b( * ),
171  \$ work( * ), x( * ), xact( * )
172 * ..
173 *
174 * =====================================================================
175 *
176 * .. Parameters ..
177  DOUBLE PRECISION zero
178  parameter( zero = 0.0d+0 )
179  COMPLEX*16 czero
180  parameter( czero = 0.0e+0 )
181  INTEGER ntypes, ntests
182  parameter( ntypes = 10, ntests = 3 )
183  INTEGER nfact
184  parameter( nfact = 2 )
185 * ..
186 * .. Local Scalars ..
187  LOGICAL zerot
188  CHARACTER dist, fact, TYPE, uplo, xtype
189  CHARACTER*3 matpath, path
190  INTEGER i, i1, i2, ifact, imat, in, info, ioff, iuplo,
191  \$ izero, j, k, kl, ku, lda, lwork, mode, n,
192  \$ nb, nbmin, nerrs, nfail, nimat, nrun, nt
193  DOUBLE PRECISION anorm, cndnum
194 * ..
195 * .. Local Arrays ..
196  CHARACTER facts( nfact ), uplos( 2 )
197  INTEGER iseed( 4 ), iseedy( 4 )
198  DOUBLE PRECISION result( ntests )
199 * ..
200 * .. External Functions ..
201  DOUBLE PRECISION dget06, zlansy
202  EXTERNAL dget06, zlansy
203 * ..
204 * .. External Subroutines ..
205  EXTERNAL aladhd, alaerh, alasvm, zerrvx, zget04, zlacpy,
208 * ..
209 * .. Scalars in Common ..
210  LOGICAL lerr, ok
211  CHARACTER*32 srnamt
212  INTEGER infot, nunit
213 * ..
214 * .. Common blocks ..
215  COMMON / infoc / infot, nunit, ok, lerr
216  COMMON / srnamc / srnamt
217 * ..
218 * .. Intrinsic Functions ..
219  INTRINSIC max, min
220 * ..
221 * .. Data statements ..
222  DATA iseedy / 1988, 1989, 1990, 1991 /
223  DATA uplos / 'U', 'L' / , facts / 'F', 'N' /
224 * ..
225 * .. Executable Statements ..
226 *
227 * Initialize constants and the random number seed.
228 *
229 * Test path
230 *
231  path( 1: 1 ) = 'Zomplex precision'
232  path( 2: 3 ) = 'SA'
233 *
234 * Path to generate matrices
235 *
236  matpath( 1: 1 ) = 'Zomplex precision'
237  matpath( 2: 3 ) = 'SY'
238 *
239  nrun = 0
240  nfail = 0
241  nerrs = 0
242  DO 10 i = 1, 4
243  iseed( i ) = iseedy( i )
244  10 CONTINUE
245 *
246 * Test the error exits
247 *
248  IF( tsterr )
249  \$ CALL zerrvx( path, nout )
250  infot = 0
251 *
252 * Set the block size and minimum block size for testing.
253 *
254  nb = 1
255  nbmin = 2
256  CALL xlaenv( 1, nb )
257  CALL xlaenv( 2, nbmin )
258 *
259 * Do for each value of N in NVAL
260 *
261  DO 180 in = 1, nn
262  n = nval( in )
263  lwork = max( 3*n-2, n*(1+nb) )
264  lwork = max( lwork, 1 )
265  lda = max( n, 1 )
266  xtype = 'N'
267  nimat = ntypes
268  IF( n.LE.0 )
269  \$ nimat = 1
270 *
271  DO 170 imat = 1, nimat
272 *
273 * Do the tests only if DOTYPE( IMAT ) is true.
274 *
275  IF( .NOT.dotype( imat ) )
276  \$ GO TO 170
277 *
278 * Skip types 3, 4, 5, or 6 if the matrix size is too small.
279 *
280  zerot = imat.GE.3 .AND. imat.LE.6
281  IF( zerot .AND. n.LT.imat-2 )
282  \$ GO TO 170
283 *
284 * Do first for UPLO = 'U', then for UPLO = 'L'
285 *
286  DO 160 iuplo = 1, 2
287  uplo = uplos( iuplo )
288 *
289 * Set up parameters with ZLATB4 and generate a test matrix
290 * with ZLATMS.
291 *
292  CALL zlatb4( matpath, imat, n, n, TYPE, kl, ku, anorm,
293  \$ mode, cndnum, dist )
294 *
295  srnamt = 'ZLATMS'
296  CALL zlatms( n, n, dist, iseed, TYPE, rwork, mode,
297  \$ cndnum, anorm, kl, ku, uplo, a, lda, work,
298  \$ info )
299 *
300 * Check error code from ZLATMS.
301 *
302  IF( info.NE.0 ) THEN
303  CALL alaerh( path, 'ZLATMS', info, 0, uplo, n, n, -1,
304  \$ -1, -1, imat, nfail, nerrs, nout )
305  GO TO 160
306  END IF
307 *
308 * For types 3-6, zero one or more rows and columns of the
309 * matrix to test that INFO is returned correctly.
310 *
311  IF( zerot ) THEN
312  IF( imat.EQ.3 ) THEN
313  izero = 1
314  ELSE IF( imat.EQ.4 ) THEN
315  izero = n
316  ELSE
317  izero = n / 2 + 1
318  END IF
319 *
320  IF( imat.LT.6 ) THEN
321 *
322 * Set row and column IZERO to zero.
323 *
324  IF( iuplo.EQ.1 ) THEN
325  ioff = ( izero-1 )*lda
326  DO 20 i = 1, izero - 1
327  a( ioff+i ) = czero
328  20 CONTINUE
329  ioff = ioff + izero
330  DO 30 i = izero, n
331  a( ioff ) = czero
332  ioff = ioff + lda
333  30 CONTINUE
334  ELSE
335  ioff = izero
336  DO 40 i = 1, izero - 1
337  a( ioff ) = czero
338  ioff = ioff + lda
339  40 CONTINUE
340  ioff = ioff - izero
341  DO 50 i = izero, n
342  a( ioff+i ) = czero
343  50 CONTINUE
344  END IF
345  ELSE
346  ioff = 0
347  IF( iuplo.EQ.1 ) THEN
348 *
349 * Set the first IZERO rows and columns to zero.
350 *
351  DO 70 j = 1, n
352  i2 = min( j, izero )
353  DO 60 i = 1, i2
354  a( ioff+i ) = czero
355  60 CONTINUE
356  ioff = ioff + lda
357  70 CONTINUE
358  izero = 1
359  ELSE
360 *
361 * Set the last IZERO rows and columns to zero.
362 *
363  DO 90 j = 1, n
364  i1 = max( j, izero )
365  DO 80 i = i1, n
366  a( ioff+i ) = czero
367  80 CONTINUE
368  ioff = ioff + lda
369  90 CONTINUE
370  END IF
371  END IF
372  ELSE
373  izero = 0
374  END IF
375 *
376  DO 150 ifact = 1, nfact
377 *
378 * Do first for FACT = 'F', then for other values.
379 *
380  fact = facts( ifact )
381 *
382 * Form an exact solution and set the right hand side.
383 *
384  srnamt = 'ZLARHS'
385  CALL zlarhs( matpath, xtype, uplo, ' ', n, n, kl, ku,
386  \$ nrhs, a, lda, xact, lda, b, lda, iseed,
387  \$ info )
388  xtype = 'C'
389 *
390 * --- Test ZSYSV_AA ---
391 *
392  IF( ifact.EQ.2 ) THEN
393  CALL zlacpy( uplo, n, n, a, lda, afac, lda )
394  CALL zlacpy( 'Full', n, nrhs, b, lda, x, lda )
395 *
396 * Factor the matrix and solve the system using ZSYSV_AA.
397 *
398  srnamt = 'ZSYSV_AA'
399  CALL zsysv_aa( uplo, n, nrhs, afac, lda, iwork,
400  \$ x, lda, work, lwork, info )
401 *
402 * Adjust the expected value of INFO to account for
403 * pivoting.
404 *
405  IF( izero.GT.0 ) THEN
406  j = 1
407  k = izero
408  100 CONTINUE
409  IF( j.EQ.k ) THEN
410  k = iwork( j )
411  ELSE IF( iwork( j ).EQ.k ) THEN
412  k = j
413  END IF
414  IF( j.LT.k ) THEN
415  j = j + 1
416  GO TO 100
417  END IF
418  ELSE
419  k = 0
420  END IF
421 *
422 * Check error code from ZSYSV_AA .
423 *
424  IF( info.NE.k ) THEN
425  CALL alaerh( path, 'ZSYSV_AA ', info, k,
426  \$ uplo, n, n, -1, -1, nrhs,
427  \$ imat, nfail, nerrs, nout )
428  GO TO 120
429  ELSE IF( info.NE.0 ) THEN
430  GO TO 120
431  END IF
432 *
433 * Reconstruct matrix from factors and compute
434 * residual.
435 *
436  CALL zsyt01_aa( uplo, n, a, lda, afac, lda,
437  \$ iwork, ainv, lda, rwork,
438  \$ result( 1 ) )
439 *
440 * Compute residual of the computed solution.
441 *
442  CALL zlacpy( 'Full', n, nrhs, b, lda, work, lda )
443  CALL zsyt02( uplo, n, nrhs, a, lda, x, lda, work,
444  \$ lda, rwork, result( 2 ) )
445  nt = 2
446 *
447 * Print information about the tests that did not pass
448 * the threshold.
449 *
450  DO 110 k = 1, nt
451  IF( result( k ).GE.thresh ) THEN
452  IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
453  \$ CALL aladhd( nout, path )
454  WRITE( nout, fmt = 9999 )'ZSYSV_AA ',
455  \$ uplo, n, imat, k, result( k )
456  nfail = nfail + 1
457  END IF
458  110 CONTINUE
459  nrun = nrun + nt
460  120 CONTINUE
461  END IF
462 *
463  150 CONTINUE
464 *
465  160 CONTINUE
466  170 CONTINUE
467  180 CONTINUE
468 *
469 * Print a summary of the results.
470 *
471  CALL alasvm( path, nout, nfail, nrun, nerrs )
472 *
473  9999 FORMAT( 1x, a, ', UPLO=''', a1, ''', N =', i5, ', type ', i2,
474  \$ ', test ', i2, ', ratio =', g12.5 )
475  RETURN
476 *
477 * End of ZDRVSY_AA
478 *
subroutine xlaenv(ISPEC, NVALUE)
XLAENV
Definition: xlaenv.f:83
double precision function dget06(RCOND, RCONDC)
DGET06
Definition: dget06.f:57
subroutine zsyt02(UPLO, N, NRHS, A, LDA, X, LDX, B, LDB, RWORK, RESID)
ZSYT02
Definition: zsyt02.f:129
subroutine zlatms(M, N, DIST, ISEED, SYM, D, MODE, COND, DMAX, KL, KU, PACK, A, LDA, WORK, INFO)
ZLATMS
Definition: zlatms.f:334
subroutine alasvm(TYPE, NOUT, NFAIL, NRUN, NERRS)
ALASVM
Definition: alasvm.f:75
subroutine zlarhs(PATH, XTYPE, UPLO, TRANS, M, N, KL, KU, NRHS, A, LDA, X, LDX, B, LDB, ISEED, INFO)
ZLARHS
Definition: zlarhs.f:211
subroutine zlaset(UPLO, M, N, ALPHA, BETA, A, LDA)
ZLASET initializes the off-diagonal elements and the diagonal elements of a matrix to given values...
Definition: zlaset.f:108
double precision function zlansy(NORM, UPLO, N, A, LDA, WORK)
ZLANSY returns the value of the 1-norm, or the Frobenius norm, or the infinity norm, or the element of largest absolute value of a complex symmetric matrix.
Definition: zlansy.f:125
subroutine alaerh(PATH, SUBNAM, INFO, INFOE, OPTS, M, N, KL, KU, N5, IMAT, NFAIL, NERRS, NOUT)
ALAERH
Definition: alaerh.f:149
subroutine zsysv_aa(UPLO, N, NRHS, A, LDA, IPIV, B, LDB, WORK, LWORK, INFO)
ZSYSV_AA computes the solution to system of linear equations A * X = B for SY matrices ...
Definition: zsysv_aa.f:164
subroutine zsytrf_aa(UPLO, N, A, LDA, IPIV, WORK, LWORK, INFO)
ZSYTRF_AA
Definition: zsytrf_aa.f:134
subroutine zlatb4(PATH, IMAT, M, N, TYPE, KL, KU, ANORM, MODE, CNDNUM, DIST)
ZLATB4
Definition: zlatb4.f:123
subroutine zget04(N, NRHS, X, LDX, XACT, LDXACT, RCOND, RESID)
ZGET04
Definition: zget04.f:104
subroutine zlacpy(UPLO, M, N, A, LDA, B, LDB)
ZLACPY copies all or part of one two-dimensional array to another.
Definition: zlacpy.f:105
subroutine zerrvx(PATH, NUNIT)
ZERRVX
Definition: zerrvx.f:57
subroutine zsyt01_aa(UPLO, N, A, LDA, AFAC, LDAFAC, IPIV, C, LDC, RWORK, RESID)
ZSYT01
Definition: zsyt01_aa.f:128
Here is the call graph for this function:
Here is the caller graph for this function: