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zdrvsy_aa.f
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1*> \brief \b ZDRVSY_AA
2*
3* =========== DOCUMENTATION ===========
4*
5* Online html documentation available at
6* http://www.netlib.org/lapack/explore-html/
7*
8* Definition:
9* ===========
10*
11* SUBROUTINE ZDRVSY_AA( DOTYPE, NN, NVAL, NRHS, THRESH, TSTERR, NMAX,
12* A, AFAC, AINV, B, X, XACT, WORK, RWORK, IWORK,
13* NOUT )
14*
15* .. Scalar Arguments ..
16* LOGICAL TSTERR
17* INTEGER NMAX, NN, NOUT, NRHS
18* DOUBLE PRECISION THRESH
19* ..
20* .. Array Arguments ..
21* LOGICAL DOTYPE( * )
22* INTEGER IWORK( * ), NVAL( * )
23* DOUBLE PRECISION RWORK( * )
24* COMPLEX*16 A( * ), AFAC( * ), AINV( * ), B( * ),
25* $ WORK( * ), X( * ), XACT( * )
26* ..
27*
28*
29*> \par Purpose:
30* =============
31*>
32*> \verbatim
33*>
34*> ZDRVSY_AA tests the driver routine ZSYSV_AA.
35*> \endverbatim
36*
37* Arguments:
38* ==========
39*
40*> \param[in] DOTYPE
41*> \verbatim
42*> DOTYPE is LOGICAL array, dimension (NTYPES)
43*> The matrix types to be used for testing. Matrices of type j
44*> (for 1 <= j <= NTYPES) are used for testing if DOTYPE(j) =
45*> .TRUE.; if DOTYPE(j) = .FALSE., then type j is not used.
46*> \endverbatim
47*>
48*> \param[in] NN
49*> \verbatim
50*> NN is INTEGER
51*> The number of values of N contained in the vector NVAL.
52*> \endverbatim
53*>
54*> \param[in] NVAL
55*> \verbatim
56*> NVAL is INTEGER array, dimension (NN)
57*> The values of the matrix dimension N.
58*> \endverbatim
59*>
60*> \param[in] NRHS
61*> \verbatim
62*> NRHS is INTEGER
63*> The number of right hand side vectors to be generated for
64*> each linear system.
65*> \endverbatim
66*>
67*> \param[in] THRESH
68*> \verbatim
69*> THRESH is COMPLEX*16
70*> The threshold value for the test ratios. A result is
71*> included in the output file if RESULT >= THRESH. To have
72*> every test ratio printed, use THRESH = 0.
73*> \endverbatim
74*>
75*> \param[in] TSTERR
76*> \verbatim
77*> TSTERR is LOGICAL
78*> Flag that indicates whether error exits are to be tested.
79*> \endverbatim
80*>
81*> \param[in] NMAX
82*> \verbatim
83*> NMAX is INTEGER
84*> The maximum value permitted for N, used in dimensioning the
85*> work arrays.
86*> \endverbatim
87*>
88*> \param[out] A
89*> \verbatim
90*> A is COMPLEX*16 array, dimension (NMAX*NMAX)
91*> \endverbatim
92*>
93*> \param[out] AFAC
94*> \verbatim
95*> AFAC is COMPLEX*16 array, dimension (NMAX*NMAX)
96*> \endverbatim
97*>
98*> \param[out] AINV
99*> \verbatim
100*> AINV is COMPLEX*16 array, dimension (NMAX*NMAX)
101*> \endverbatim
102*>
103*> \param[out] B
104*> \verbatim
105*> B is COMPLEX*16 array, dimension (NMAX*NRHS)
106*> \endverbatim
107*>
108*> \param[out] X
109*> \verbatim
110*> X is COMPLEX*16 array, dimension (NMAX*NRHS)
111*> \endverbatim
112*>
113*> \param[out] XACT
114*> \verbatim
115*> XACT is COMPLEX*16 array, dimension (NMAX*NRHS)
116*> \endverbatim
117*>
118*> \param[out] WORK
119*> \verbatim
120*> WORK is COMPLEX*16 array, dimension (NMAX*max(2,NRHS))
121*> \endverbatim
122*>
123*> \param[out] RWORK
124*> \verbatim
125*> RWORK is COMPLEX*16 array, dimension (NMAX+2*NRHS)
126*> \endverbatim
127*>
128*> \param[out] IWORK
129*> \verbatim
130*> IWORK is INTEGER array, dimension (2*NMAX)
131*> \endverbatim
132*>
133*> \param[in] NOUT
134*> \verbatim
135*> NOUT is INTEGER
136*> The unit number for output.
137*> \endverbatim
138*
139* Authors:
140* ========
141*
142*> \author Univ. of Tennessee
143*> \author Univ. of California Berkeley
144*> \author Univ. of Colorado Denver
145*> \author NAG Ltd.
146*
147*> \ingroup complex16_lin
148*
149* =====================================================================
150 SUBROUTINE zdrvsy_aa( DOTYPE, NN, NVAL, NRHS, THRESH, TSTERR,
151 $ NMAX, A, AFAC, AINV, B, X, XACT, WORK,
152 $ RWORK, IWORK, NOUT )
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 ZERO
175 PARAMETER ( ZERO = 0.0d+0 )
176 COMPLEX*16 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 DOUBLE PRECISION ANORM, CNDNUM
191* ..
192* .. Local Arrays ..
193 CHARACTER FACTS( NFACT ), UPLOS( 2 )
194 INTEGER ISEED( 4 ), ISEEDY( 4 )
195 DOUBLE PRECISION RESULT( NTESTS )
196* ..
197* .. External Functions ..
198 DOUBLE PRECISION DGET06, ZLANSY
199 EXTERNAL DGET06, ZLANSY
200* ..
201* .. External Subroutines ..
202 EXTERNAL aladhd, alaerh, alasvm, zerrvx, zget04, zlacpy,
203 $ zlarhs, zlaset, zlatb4, zlatms, zsyt02,
204 $ zsysv_aa, zsyt01_aa, zsytrf_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 ) = 'zomplex precision'
229 PATH( 2: 3 ) = 'sa'
230*
231* Path to generate matrices
232*
233 MATPATH( 1: 1 ) = 'zomplex 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 ZERRVX( 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.LE. IF( N0 )
266 $ NIMAT = 1
267*
268 DO 170 IMAT = 1, NIMAT
269*
270* Do the tests only if DOTYPE( IMAT ) is true.
271*
272.NOT. IF( DOTYPE( IMAT ) )
273 $ GO TO 170
274*
275* Skip types 3, 4, 5, or 6 if the matrix size is too small.
276*
277.GE..AND..LE. ZEROT = IMAT3 IMAT6
278.AND..LT. IF( ZEROT NIMAT-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 ZLATB4 and generate a test matrix
287* with ZLATMS.
288*
289 CALL ZLATB4( MATPATH, IMAT, N, N, TYPE, KL, KU, ANORM,
290 $ MODE, CNDNUM, DIST )
291*
292 SRNAMT = 'zlatms'
293 CALL ZLATMS( N, N, DIST, ISEED, TYPE, RWORK, MODE,
294 $ CNDNUM, ANORM, KL, KU, UPLO, A, LDA, WORK,
295 $ INFO )
296*
297* Check error code from ZLATMS.
298*
299.NE. IF( INFO0 ) THEN
300 CALL ALAERH( PATH, 'zlatms', 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.EQ. IF( IMAT3 ) THEN
310 IZERO = 1
311.EQ. ELSE IF( IMAT4 ) THEN
312 IZERO = N
313 ELSE
314 IZERO = N / 2 + 1
315 END IF
316*
317.LT. IF( IMAT6 ) THEN
318*
319* Set row and column IZERO to zero.
320*
321.EQ. IF( IUPLO1 ) 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.EQ. IF( IUPLO1 ) 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 = 'zlarhs'
382 CALL ZLARHS( MATPATH, XTYPE, UPLO, ' ', N, N, KL, KU,
383 $ NRHS, A, LDA, XACT, LDA, B, LDA, ISEED,
384 $ INFO )
385 XTYPE = 'c'
386*
387* --- Test ZSYSV_AA ---
388*
389.EQ. IF( IFACT2 ) THEN
390 CALL ZLACPY( UPLO, N, N, A, LDA, AFAC, LDA )
391 CALL ZLACPY( 'full', N, NRHS, B, LDA, X, LDA )
392*
393* Factor the matrix and solve the system using ZSYSV_AA.
394*
395 SRNAMT = 'zsysv_aa'
396 CALL ZSYSV_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.GT. IF( IZERO0 ) THEN
403 J = 1
404 K = IZERO
405 100 CONTINUE
406.EQ. IF( JK ) THEN
407 K = IWORK( J )
408.EQ. ELSE IF( IWORK( J )K ) THEN
409 K = J
410 END IF
411.LT. IF( JK ) 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 ZSYSV_AA .
420*
421.NE. IF( INFOK ) THEN
422 CALL ALAERH( PATH, 'zsysv_aa ', INFO, K,
423 $ UPLO, N, N, -1, -1, NRHS,
424 $ IMAT, NFAIL, NERRS, NOUT )
425 GO TO 120
426.NE. ELSE IF( INFO0 ) THEN
427 GO TO 120
428 END IF
429*
430* Reconstruct matrix from factors and compute
431* residual.
432*
433 CALL ZSYT01_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 ZLACPY( 'full', N, NRHS, B, LDA, WORK, LDA )
440 CALL ZSYT02( 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.GE. IF( RESULT( K )THRESH ) THEN
449.EQ..AND..EQ. IF( NFAIL0 NERRS0 )
450 $ CALL ALADHD( NOUT, PATH )
451 WRITE( NOUT, FMT = 9999 )'zsysv_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 ZDRVSY_AA
475*
476 END
xlaenv
subroutine xlaenv(ispec, nvalue)
XLAENV
Definition xlaenv.f:81
alasvm
subroutine alasvm(type, nout, nfail, nrun, nerrs)
ALASVM
Definition alasvm.f:73
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
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:103
zlaset
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:106
zsytrf_aa
subroutine zsytrf_aa(uplo, n, a, lda, ipiv, work, lwork, info)
ZSYTRF_AA
Definition zsytrf_aa.f:132
zsysv_aa
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:162
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
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
zdrvsy_aa
subroutine zdrvsy_aa(dotype, nn, nval, nrhs, thresh, tsterr, nmax, a, afac, ainv, b, x, xact, work, rwork, iwork, nout)
ZDRVSY_AA
Definition zdrvsy_aa.f:153
zsyt01_aa
subroutine zsyt01_aa(uplo, n, a, lda, afac, ldafac, ipiv, c, ldc, rwork, resid)
ZSYT01
Definition zsyt01_aa.f:124
zsyt02
subroutine zsyt02(uplo, n, nrhs, a, lda, x, ldx, b, ldb, rwork, resid)
ZSYT02
Definition zsyt02.f:127
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
min
#define min(a, b)
Definition macros.h:20
max
#define max(a, b)
Definition macros.h:21