LAPACK  3.8.0 LAPACK: Linear Algebra PACKage

## ◆ zdrvsy_aa_2stage()

 subroutine zdrvsy_aa_2stage ( 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_2STAGE

Purpose:
` ZDRVSY_AA_2STAGE tests the driver routine ZSYSV_AA_2STAGE.`
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 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 (NMAX)` [in] NOUT ``` NOUT is INTEGER The unit number for output.```
Date
November 2017

Definition at line 157 of file zdrvsy_aa_2stage.f.

157 *
158 * -- LAPACK test routine (version 3.8.0) --
159 * -- LAPACK is a software package provided by Univ. of Tennessee, --
160 * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
161 * November 2017
162 *
163 * .. Scalar Arguments ..
164  LOGICAL tsterr
165  INTEGER nmax, nn, nout, nrhs
166  DOUBLE PRECISION thresh
167 * ..
168 * .. Array Arguments ..
169  LOGICAL dotype( * )
170  INTEGER iwork( * ), nval( * )
171  DOUBLE PRECISION rwork( * )
172  COMPLEX*16 a( * ), afac( * ), ainv( * ), b( * ),
173  \$ work( * ), x( * ), xact( * )
174 * ..
175 *
176 * =====================================================================
177 *
178 * .. Parameters ..
179  DOUBLE PRECISION zero
180  parameter( zero = 0.0d+0 )
181  COMPLEX*16 czero
182  parameter( czero = ( 0.0d+0, 0.0d+0 ) )
183  INTEGER ntypes, ntests
184  parameter( ntypes = 10, ntests = 3 )
185  INTEGER nfact
186  parameter( nfact = 2 )
187 * ..
188 * .. Local Scalars ..
189  LOGICAL zerot
190  CHARACTER dist, fact, TYPE, uplo, xtype
191  CHARACTER*3 matpath, path
192  INTEGER i, i1, i2, ifact, imat, in, info, ioff, iuplo,
193  \$ izero, j, k, kl, ku, lda, lwork, mode, n,
194  \$ nb, nbmin, nerrs, nfail, nimat, nrun, nt
195  DOUBLE PRECISION anorm, cndnum
196 * ..
197 * .. Local Arrays ..
198  CHARACTER facts( nfact ), uplos( 2 )
199  INTEGER iseed( 4 ), iseedy( 4 )
200  DOUBLE PRECISION result( ntests )
201 * ..
202 * .. External Functions ..
203  DOUBLE PRECISION dget06, zlansy
204  EXTERNAL dget06, zlansy
205 * ..
206 * .. External Subroutines ..
207  EXTERNAL aladhd, alaerh, alasvm, xlaenv, zerrvx,
211 * ..
212 * .. Scalars in Common ..
213  LOGICAL lerr, ok
214  CHARACTER*32 srnamt
215  INTEGER infot, nunit
216 * ..
217 * .. Common blocks ..
218  COMMON / infoc / infot, nunit, ok, lerr
219  COMMON / srnamc / srnamt
220 * ..
221 * .. Intrinsic Functions ..
222  INTRINSIC cmplx, max, min
223 * ..
224 * .. Data statements ..
225  DATA iseedy / 1988, 1989, 1990, 1991 /
226  DATA uplos / 'U', 'L' / , facts / 'F', 'N' /
227 * ..
228 * .. Executable Statements ..
229 *
230 * Initialize constants and the random number seed.
231 *
232 * Test path
233 *
234  path( 1: 1 ) = 'Zomplex precision'
235  path( 2: 3 ) = 'H2'
236 *
237 * Path to generate matrices
238 *
239  matpath( 1: 1 ) = 'Zomplex precision'
240  matpath( 2: 3 ) = 'SY'
241 *
242  nrun = 0
243  nfail = 0
244  nerrs = 0
245  DO 10 i = 1, 4
246  iseed( i ) = iseedy( i )
247  10 CONTINUE
248 *
249 * Test the error exits
250 *
251  IF( tsterr )
252  \$ CALL zerrvx( path, nout )
253  infot = 0
254 *
255 * Set the block size and minimum block size for testing.
256 *
257  nb = 1
258  nbmin = 2
259  CALL xlaenv( 1, nb )
260  CALL xlaenv( 2, nbmin )
261 *
262 * Do for each value of N in NVAL
263 *
264  DO 180 in = 1, nn
265  n = nval( in )
266  lda = max( n, 1 )
267  xtype = 'N'
268  nimat = ntypes
269  IF( n.LE.0 )
270  \$ nimat = 1
271 *
272  DO 170 imat = 1, nimat
273 *
274 * Do the tests only if DOTYPE( IMAT ) is true.
275 *
276  IF( .NOT.dotype( imat ) )
277  \$ GO TO 170
278 *
279 * Skip types 3, 4, 5, or 6 if the matrix size is too small.
280 *
281  zerot = imat.GE.3 .AND. imat.LE.6
282  IF( zerot .AND. n.LT.imat-2 )
283  \$ GO TO 170
284 *
285 * Do first for UPLO = 'U', then for UPLO = 'L'
286 *
287  DO 160 iuplo = 1, 2
288  uplo = uplos( iuplo )
289 *
290 * Begin generate the test matrix A.
291 *
292 * Set up parameters with ZLATB4 for the matrix generator
293 * based on the type of matrix to be generated.
294 *
295  CALL zlatb4( matpath, imat, n, n, TYPE, kl, ku, anorm,
296  \$ mode, cndnum, dist )
297 *
298 * Generate a matrix with ZLATMS.
299 *
300  srnamt = 'ZLATMS'
301  CALL zlatms( n, n, dist, iseed, TYPE, rwork, mode,
302  \$ cndnum, anorm, kl, ku, uplo, a, lda,
303  \$ work, info )
304 *
305 * Check error code from ZLATMS and handle error.
306 *
307  IF( info.NE.0 ) THEN
308  CALL alaerh( path, 'ZLATMS', info, 0, uplo, n, n,
309  \$ -1, -1, -1, imat, nfail, nerrs, nout )
310  GO TO 160
311  END IF
312 *
313 * For types 3-6, zero one or more rows and columns of
314 * the matrix to test that INFO is returned correctly.
315 *
316  IF( zerot ) THEN
317  IF( imat.EQ.3 ) THEN
318  izero = 1
319  ELSE IF( imat.EQ.4 ) THEN
320  izero = n
321  ELSE
322  izero = n / 2 + 1
323  END IF
324 *
325  IF( imat.LT.6 ) THEN
326 *
327 * Set row and column IZERO to zero.
328 *
329  IF( iuplo.EQ.1 ) THEN
330  ioff = ( izero-1 )*lda
331  DO 20 i = 1, izero - 1
332  a( ioff+i ) = czero
333  20 CONTINUE
334  ioff = ioff + izero
335  DO 30 i = izero, n
336  a( ioff ) = czero
337  ioff = ioff + lda
338  30 CONTINUE
339  ELSE
340  ioff = izero
341  DO 40 i = 1, izero - 1
342  a( ioff ) = czero
343  ioff = ioff + lda
344  40 CONTINUE
345  ioff = ioff - izero
346  DO 50 i = izero, n
347  a( ioff+i ) = czero
348  50 CONTINUE
349  END IF
350  ELSE
351  ioff = 0
352  IF( iuplo.EQ.1 ) THEN
353 *
354 * Set the first IZERO rows and columns to zero.
355 *
356  DO 70 j = 1, n
357  i2 = min( j, izero )
358  DO 60 i = 1, i2
359  a( ioff+i ) = czero
360  60 CONTINUE
361  ioff = ioff + lda
362  70 CONTINUE
363  izero = 1
364  ELSE
365 *
366 * Set the first IZERO rows and columns to zero.
367 *
368  ioff = 0
369  DO 90 j = 1, n
370  i1 = max( j, izero )
371  DO 80 i = i1, n
372  a( ioff+i ) = czero
373  80 CONTINUE
374  ioff = ioff + lda
375  90 CONTINUE
376  END IF
377  END IF
378  ELSE
379  izero = 0
380  END IF
381 *
382 * End generate the test matrix A.
383 *
384 *
385  DO 150 ifact = 1, nfact
386 *
387 * Do first for FACT = 'F', then for other values.
388 *
389  fact = facts( ifact )
390 *
391 * Form an exact solution and set the right hand side.
392 *
393  srnamt = 'ZLARHS'
394  CALL zlarhs( matpath, xtype, uplo, ' ', n, n, kl, ku,
395  \$ nrhs, a, lda, xact, lda, b, lda, iseed,
396  \$ info )
397  xtype = 'C'
398 *
399 * --- Test ZSYSV_AA_2STAGE ---
400 *
401  IF( ifact.EQ.2 ) THEN
402  CALL zlacpy( uplo, n, n, a, lda, afac, lda )
403  CALL zlacpy( 'Full', n, nrhs, b, lda, x, lda )
404 *
405 * Factor the matrix and solve the system using ZSYSV_AA.
406 *
407  srnamt = 'ZSYSV_AA_2STAGE '
408  lwork = min(n*nb, 3*nmax*nmax)
409  CALL zsysv_aa_2stage( uplo, n, nrhs, afac, lda,
410  \$ ainv, (3*nb+1)*n,
411  \$ iwork, iwork( 1+n ),
412  \$ x, lda, work, lwork, info )
413 *
414 * Adjust the expected value of INFO to account for
415 * pivoting.
416 *
417  IF( izero.GT.0 ) THEN
418  j = 1
419  k = izero
420  100 CONTINUE
421  IF( j.EQ.k ) THEN
422  k = iwork( j )
423  ELSE IF( iwork( j ).EQ.k ) THEN
424  k = j
425  END IF
426  IF( j.LT.k ) THEN
427  j = j + 1
428  GO TO 100
429  END IF
430  ELSE
431  k = 0
432  END IF
433 *
434 * Check error code from ZSYSV_AA_2STAGE .
435 *
436  IF( info.NE.k ) THEN
437  CALL alaerh( path, 'ZSYSV_AA_2STAGE', info, k,
438  \$ uplo, n, n, -1, -1, nrhs,
439  \$ imat, nfail, nerrs, nout )
440  GO TO 120
441  ELSE IF( info.NE.0 ) THEN
442  GO TO 120
443  END IF
444 *
445 * Compute residual of the computed solution.
446 *
447  CALL zlacpy( 'Full', n, nrhs, b, lda, work, lda )
448  CALL zsyt02( uplo, n, nrhs, a, lda, x, lda, work,
449  \$ lda, rwork, result( 1 ) )
450 *
451 * Reconstruct matrix from factors and compute
452 * residual.
453 *
454 c CALL ZSY01_AA( UPLO, N, A, LDA, AFAC, LDA,
455 c \$ IWORK, AINV, LDA, RWORK,
456 c \$ RESULT( 2 ) )
457 c NT = 2
458  nt = 1
459 *
460 * Print information about the tests that did not pass
461 * the threshold.
462 *
463  DO 110 k = 1, nt
464  IF( result( k ).GE.thresh ) THEN
465  IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
466  \$ CALL aladhd( nout, path )
467  WRITE( nout, fmt = 9999 )'ZSYSV_AA_2STAGE ',
468  \$ uplo, n, imat, k, result( k )
469  nfail = nfail + 1
470  END IF
471  110 CONTINUE
472  nrun = nrun + nt
473  120 CONTINUE
474  END IF
475 *
476  150 CONTINUE
477 *
478  160 CONTINUE
479  170 CONTINUE
480  180 CONTINUE
481 *
482 * Print a summary of the results.
483 *
484  CALL alasvm( path, nout, nfail, nrun, nerrs )
485 *
486  9999 FORMAT( 1x, a, ', UPLO=''', a1, ''', N =', i5, ', type ', i2,
487  \$ ', test ', i2, ', ratio =', g12.5 )
488  RETURN
489 *
490 * End of ZDRVSY_AA_2STAGE
491 *
subroutine alasvm(TYPE, NOUT, NFAIL, NRUN, NERRS)
ALASVM
Definition: alasvm.f:75
subroutine zsytrf_aa_2stage(UPLO, N, A, LDA, TB, LTB, IPIV, IPIV2, WORK, LWORK, INFO)
ZSYTRF_AA_2STAGE
subroutine zget04(N, NRHS, X, LDX, XACT, LDXACT, RCOND, RESID)
ZGET04
Definition: zget04.f:104
subroutine alaerh(PATH, SUBNAM, INFO, INFOE, OPTS, M, N, KL, KU, N5, IMAT, NFAIL, NERRS, NOUT)
ALAERH
Definition: alaerh.f:149
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 zlatb4(PATH, IMAT, M, N, TYPE, KL, KU, ANORM, MODE, CNDNUM, DIST)
ZLATB4
Definition: zlatb4.f:123
subroutine zsyt02(UPLO, N, NRHS, A, LDA, X, LDX, B, LDB, RWORK, RESID)
ZSYT02
Definition: zsyt02.f:129
subroutine xlaenv(ISPEC, NVALUE)
XLAENV
Definition: xlaenv.f:83
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 zlatms(M, N, DIST, ISEED, SYM, D, MODE, COND, DMAX, KL, KU, PACK, A, LDA, WORK, INFO)
ZLATMS
Definition: zlatms.f:334
subroutine zsysv_aa_2stage(UPLO, N, NRHS, A, LDA, TB, LTB, IPIV, IPIV2, B, LDB, WORK, LWORK, INFO)
ZSYSV_AA_2STAGE computes the solution to system of linear equations A * X = B for SY matrices ...
subroutine zsyt01_aa(UPLO, N, A, LDA, AFAC, LDAFAC, IPIV, C, LDC, RWORK, RESID)
ZSYT01
Definition: zsyt01_aa.f:128
double precision function dget06(RCOND, RCONDC)
DGET06
Definition: dget06.f:57
subroutine zerrvx(PATH, NUNIT)
ZERRVX
Definition: zerrvx.f:57
subroutine zlarhs(PATH, XTYPE, UPLO, TRANS, M, N, KL, KU, NRHS, A, LDA, X, LDX, B, LDB, ISEED, INFO)
ZLARHS
Definition: zlarhs.f:211
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