LAPACK 3.12.1
LAPACK: Linear Algebra PACKage
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◆ 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,
203 $ clarhs, claset, clatb4, clatms, csyt02,
204 $ csysv_aa, csyt01_aa, csytrf_aa, xlaenv
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*
alasvm
subroutine alasvm(type, nout, nfail, nrun, nerrs)
ALASVM
Definition alasvm.f:73
clarhs
subroutine clarhs(path, xtype, uplo, trans, m, n, kl, ku, nrhs, a, lda, x, ldx, b, ldb, iseed, info)
CLARHS
Definition clarhs.f:208
xlaenv
subroutine xlaenv(ispec, nvalue)
XLAENV
Definition xlaenv.f:81
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
cerrvx
subroutine cerrvx(path, nunit)
CERRVX
Definition cerrvx.f:55
cget04
subroutine cget04(n, nrhs, x, ldx, xact, ldxact, rcond, resid)
CGET04
Definition cget04.f:102
clatb4
subroutine clatb4(path, imat, m, n, type, kl, ku, anorm, mode, cndnum, dist)
CLATB4
Definition clatb4.f:121
clatms
subroutine clatms(m, n, dist, iseed, sym, d, mode, cond, dmax, kl, ku, pack, a, lda, work, info)
CLATMS
Definition clatms.f:332
csyt01_aa
subroutine csyt01_aa(uplo, n, a, lda, afac, ldafac, ipiv, c, ldc, rwork, resid)
CSYT01
Definition csyt01_aa.f:124
csyt02
subroutine csyt02(uplo, n, nrhs, a, lda, x, ldx, b, ldb, rwork, resid)
CSYT02
Definition csyt02.f:127
dget06
double precision function dget06(rcond, rcondc)
DGET06
Definition dget06.f:55
csysv_aa
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:160
csytrf_aa
subroutine csytrf_aa(uplo, n, a, lda, ipiv, work, lwork, info)
CSYTRF_AA
Definition csytrf_aa.f:130
clacpy
subroutine clacpy(uplo, m, n, a, lda, b, ldb)
CLACPY copies all or part of one two-dimensional array to another.
Definition clacpy.f:101
clansy
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:121
claset
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:104
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