LAPACK 3.12.1
LAPACK: Linear Algebra PACKage
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◆ zdrvhe_aa()

subroutine zdrvhe_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 )

ZDRVHE_AA

Purpose:
!>
!> ZDRVHE_AA tests the driver routine ZHESV_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 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 DOUBLE PRECISION 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 150 of file zdrvhe_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 DOUBLE PRECISION THRESH
162* ..
163* .. Array Arguments ..
164 LOGICAL DOTYPE( * )
165 INTEGER IWORK( * ), NVAL( * )
166 DOUBLE PRECISION RWORK( * )
167 COMPLEX*16 A( * ), AFAC( * ), AINV( * ), B( * ),
168 $ WORK( * ), X( * ), XACT( * )
169* ..
170*
171* =====================================================================
172*
173* .. Parameters ..
174 DOUBLE PRECISION ONE, ZERO
175 parameter( one = 1.0d+0, zero = 0.0d+0 )
176 INTEGER NTYPES, NTESTS
177 parameter( ntypes = 10, ntests = 3 )
178 INTEGER NFACT
179 parameter( nfact = 2 )
180* ..
181* .. Local Scalars ..
182 LOGICAL ZEROT
183 CHARACTER DIST, FACT, TYPE, UPLO, XTYPE
184 CHARACTER*3 MATPATH, PATH
185 INTEGER I, I1, I2, IFACT, IMAT, IN, INFO, IOFF, IUPLO,
186 $ IZERO, J, K, KL, KU, LDA, LWORK, MODE, N,
187 $ NB, NBMIN, NERRS, NFAIL, NIMAT, NRUN, NT
188 DOUBLE PRECISION ANORM, CNDNUM
189* ..
190* .. Local Arrays ..
191 CHARACTER FACTS( NFACT ), UPLOS( 2 )
192 INTEGER ISEED( 4 ), ISEEDY( 4 )
193 DOUBLE PRECISION RESULT( NTESTS )
194* ..
195* .. External Functions ..
196 DOUBLE PRECISION DGET06, ZLANHE
197 EXTERNAL dget06, zlanhe
198* ..
199* .. External Subroutines ..
200 EXTERNAL aladhd, alaerh, alasvm, xlaenv, zerrvx, zget04,
201 $ zhesv_aa, zhet01_aa, zhetrf_aa,
202 $ zhetri2, zlacpy, zlaipd, zlarhs, zlatb4,
203 $ zlatms, zpot02
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 dcmplx, 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 ) = 'Zomplex precision'
228 path( 2: 3 ) = 'HA'
229*
230* Path to generate matrices
231*
232 matpath( 1: 1 ) = 'Zomplex precision'
233 matpath( 2: 3 ) = 'HE'
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*
242* Test the error exits
243*
244 IF( tsterr )
245 $ CALL zerrvx( path, nout )
246 infot = 0
247*
248* Set the block size and minimum block size for testing.
249*
250 nb = 1
251 nbmin = 2
252 CALL xlaenv( 1, nb )
253 CALL xlaenv( 2, nbmin )
254*
255* Do for each value of N in NVAL
256*
257 DO 180 in = 1, nn
258 n = nval( in )
259 lwork = max( 3*n-2, n*(1+nb) )
260 lwork = max( lwork, 1 )
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 ZLATB4 and generate a test matrix
288* with ZLATMS.
289*
290 CALL zlatb4( matpath, imat, n, n, TYPE, KL, KU, ANORM,
291 $ MODE, CNDNUM, DIST )
292*
293 srnamt = 'ZLATMS'
294 CALL zlatms( n, n, dist, iseed, TYPE, RWORK, MODE,
295 $ CNDNUM, ANORM, KL, KU, UPLO, A, LDA, WORK,
296 $ INFO )
297*
298* Check error code from ZLATMS.
299*
300 IF( info.NE.0 ) THEN
301 CALL alaerh( path, 'ZLATMS', info, 0, uplo, n, n, -1,
302 $ -1, -1, imat, nfail, nerrs, nout )
303 GO TO 160
304 END IF
305*
306* For types 3-6, zero one or more rows and columns of the
307* matrix to test that INFO is returned correctly.
308*
309 IF( zerot ) THEN
310 IF( imat.EQ.3 ) THEN
311 izero = 1
312 ELSE IF( imat.EQ.4 ) THEN
313 izero = n
314 ELSE
315 izero = n / 2 + 1
316 END IF
317*
318 IF( imat.LT.6 ) THEN
319*
320* Set row and column IZERO to zero.
321*
322 IF( iuplo.EQ.1 ) THEN
323 ioff = ( izero-1 )*lda
324 DO 20 i = 1, izero - 1
325 a( ioff+i ) = zero
326 20 CONTINUE
327 ioff = ioff + izero
328 DO 30 i = izero, n
329 a( ioff ) = zero
330 ioff = ioff + lda
331 30 CONTINUE
332 ELSE
333 ioff = izero
334 DO 40 i = 1, izero - 1
335 a( ioff ) = zero
336 ioff = ioff + lda
337 40 CONTINUE
338 ioff = ioff - izero
339 DO 50 i = izero, n
340 a( ioff+i ) = zero
341 50 CONTINUE
342 END IF
343 ELSE
344 ioff = 0
345 IF( iuplo.EQ.1 ) THEN
346*
347* Set the first IZERO rows and columns to zero.
348*
349 DO 70 j = 1, n
350 i2 = min( j, izero )
351 DO 60 i = 1, i2
352 a( ioff+i ) = zero
353 60 CONTINUE
354 ioff = ioff + lda
355 70 CONTINUE
356 izero = 1
357 ELSE
358*
359* Set the last IZERO rows and columns to zero.
360*
361 DO 90 j = 1, n
362 i1 = max( j, izero )
363 DO 80 i = i1, n
364 a( ioff+i ) = zero
365 80 CONTINUE
366 ioff = ioff + lda
367 90 CONTINUE
368 END IF
369 END IF
370 ELSE
371 izero = 0
372 END IF
373*
374* Set the imaginary part of the diagonals.
375*
376 CALL zlaipd( n, a, lda+1, 0 )
377*
378 DO 150 ifact = 1, nfact
379*
380* Do first for FACT = 'F', then for other values.
381*
382 fact = facts( ifact )
383*
384* Form an exact solution and set the right hand side.
385*
386 srnamt = 'ZLARHS'
387 CALL zlarhs( matpath, xtype, uplo, ' ', n, n, kl, ku,
388 $ nrhs, a, lda, xact, lda, b, lda, iseed,
389 $ info )
390 xtype = 'C'
391*
392* --- Test ZHESV_AA ---
393*
394 IF( ifact.EQ.2 ) THEN
395 CALL zlacpy( uplo, n, n, a, lda, afac, lda )
396 CALL zlacpy( 'Full', n, nrhs, b, lda, x, lda )
397*
398* Factor the matrix and solve the system using ZHESV.
399*
400 srnamt = 'ZHESV_AA '
401 CALL zhesv_aa( uplo, n, nrhs, afac, lda, iwork,
402 $ x, lda, work, lwork, info )
403*
404* Adjust the expected value of INFO to account for
405* pivoting.
406*
407 IF( izero.GT.0 ) THEN
408 j = 1
409 k = izero
410 100 CONTINUE
411 IF( j.EQ.k ) THEN
412 k = iwork( j )
413 ELSE IF( iwork( j ).EQ.k ) THEN
414 k = j
415 END IF
416 IF( j.LT.k ) THEN
417 j = j + 1
418 GO TO 100
419 END IF
420 ELSE
421 k = 0
422 END IF
423*
424* Check error code from ZHESV .
425*
426 IF( info.NE.k ) THEN
427 CALL alaerh( path, 'ZHESV_AA', info, k, uplo, n,
428 $ n, -1, -1, nrhs, imat, nfail,
429 $ nerrs, nout )
430 GO TO 120
431 ELSE IF( info.NE.0 ) THEN
432 GO TO 120
433 END IF
434*
435* Reconstruct matrix from factors and compute
436* residual.
437*
438 CALL zhet01_aa( uplo, n, a, lda, afac, lda,
439 $ iwork, ainv, lda, rwork,
440 $ result( 1 ) )
441*
442* Compute residual of the computed solution.
443*
444 CALL zlacpy( 'Full', n, nrhs, b, lda, work, lda )
445 CALL zpot02( uplo, n, nrhs, a, lda, x, lda, work,
446 $ lda, rwork, result( 2 ) )
447 nt = 2
448*
449* Print information about the tests that did not pass
450* the threshold.
451*
452 DO 110 k = 1, nt
453 IF( result( k ).GE.thresh ) THEN
454 IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
455 $ CALL aladhd( nout, path )
456 WRITE( nout, fmt = 9999 )'ZHESV_AA', uplo, n,
457 $ imat, k, result( k )
458 nfail = nfail + 1
459 END IF
460 110 CONTINUE
461 nrun = nrun + nt
462 120 CONTINUE
463 END IF
464*
465 150 CONTINUE
466*
467 160 CONTINUE
468 170 CONTINUE
469 180 CONTINUE
470*
471* Print a summary of the results.
472*
473 CALL alasvm( path, nout, nfail, nrun, nerrs )
474*
475 9999 FORMAT( 1x, a, ', UPLO=''', a1, ''', N =', i5, ', type ', i2,
476 $ ', test ', i2, ', ratio =', g12.5 )
477 RETURN
478*
479* End of ZDRVHE_AA
480*
alasvm
subroutine alasvm(type, nout, nfail, nrun, nerrs)
ALASVM
Definition alasvm.f:73
xlaenv
subroutine xlaenv(ispec, nvalue)
XLAENV
Definition xlaenv.f:81
zlarhs
subroutine zlarhs(path, xtype, uplo, trans, m, n, kl, ku, nrhs, a, lda, x, ldx, b, ldb, iseed, info)
ZLARHS
Definition zlarhs.f:208
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
dget06
double precision function dget06(rcond, rcondc)
DGET06
Definition dget06.f:55
zhesv_aa
subroutine zhesv_aa(uplo, n, nrhs, a, lda, ipiv, b, ldb, work, lwork, info)
ZHESV_AA computes the solution to system of linear equations A * X = B for HE matrices
Definition zhesv_aa.f:160
zhetrf_aa
subroutine zhetrf_aa(uplo, n, a, lda, ipiv, work, lwork, info)
ZHETRF_AA
Definition zhetrf_aa.f:133
zhetri2
subroutine zhetri2(uplo, n, a, lda, ipiv, work, lwork, info)
ZHETRI2
Definition zhetri2.f:125
zlacpy
subroutine zlacpy(uplo, m, n, a, lda, b, ldb)
ZLACPY copies all or part of one two-dimensional array to another.
Definition zlacpy.f:101
zlanhe
double precision function zlanhe(norm, uplo, n, a, lda, work)
ZLANHE returns the value of the 1-norm, or the Frobenius norm, or the infinity norm,...
Definition zlanhe.f:122
zerrvx
subroutine zerrvx(path, nunit)
ZERRVX
Definition zerrvx.f:55
zget04
subroutine zget04(n, nrhs, x, ldx, xact, ldxact, rcond, resid)
ZGET04
Definition zget04.f:102
zhet01_aa
subroutine zhet01_aa(uplo, n, a, lda, afac, ldafac, ipiv, c, ldc, rwork, resid)
ZHET01_AA
Definition zhet01_aa.f:124
zlaipd
subroutine zlaipd(n, a, inda, vinda)
ZLAIPD
Definition zlaipd.f:83
zlatb4
subroutine zlatb4(path, imat, m, n, type, kl, ku, anorm, mode, cndnum, dist)
ZLATB4
Definition zlatb4.f:121
zlatms
subroutine zlatms(m, n, dist, iseed, sym, d, mode, cond, dmax, kl, ku, pack, a, lda, work, info)
ZLATMS
Definition zlatms.f:332
zpot02
subroutine zpot02(uplo, n, nrhs, a, lda, x, ldx, b, ldb, rwork, resid)
ZPOT02
Definition zpot02.f:127
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