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sdrvsy_aa_2stage.f
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1*> \brief \b SDRVSY_AA_2STAGE
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 SDRVSY_AA_2STAGE(
12* DOTYPE, NN, NVAL, NRHS, THRESH, TSTERR, NMAX,
13* A, AFAC, AINV, B, X, XACT, WORK, RWORK, IWORK,
14* NOUT )
15*
16* .. Scalar Arguments ..
17* LOGICAL TSTERR
18* INTEGER NMAX, NN, NOUT, NRHS
19* REAL THRESH
20* ..
21* .. Array Arguments ..
22* LOGICAL DOTYPE( * )
23* INTEGER IWORK( * ), NVAL( * )
24* REAL RWORK( * )
25* REAL A( * ), AFAC( * ), AINV( * ), B( * ),
26* $ WORK( * ), X( * ), XACT( * )
27* ..
28*
29*
30*> \par Purpose:
31* =============
32*>
33*> \verbatim
34*>
35*> SDRVSY_AA_2STAGE tests the driver routine SSYSV_AA_2STAGE.
36*> \endverbatim
37*
38* Arguments:
39* ==========
40*
41*> \param[in] DOTYPE
42*> \verbatim
43*> DOTYPE is LOGICAL array, dimension (NTYPES)
44*> The matrix types to be used for testing. Matrices of type j
45*> (for 1 <= j <= NTYPES) are used for testing if DOTYPE(j) =
46*> .TRUE.; if DOTYPE(j) = .FALSE., then type j is not used.
47*> \endverbatim
48*>
49*> \param[in] NN
50*> \verbatim
51*> NN is INTEGER
52*> The number of values of N contained in the vector NVAL.
53*> \endverbatim
54*>
55*> \param[in] NVAL
56*> \verbatim
57*> NVAL is INTEGER array, dimension (NN)
58*> The values of the matrix dimension N.
59*> \endverbatim
60*>
61*> \param[in] NRHS
62*> \verbatim
63*> NRHS is INTEGER
64*> The number of right hand side vectors to be generated for
65*> each linear system.
66*> \endverbatim
67*>
68*> \param[in] THRESH
69*> \verbatim
70*> THRESH is REAL
71*> The threshold value for the test ratios. A result is
72*> included in the output file if RESULT >= THRESH. To have
73*> every test ratio printed, use THRESH = 0.
74*> \endverbatim
75*>
76*> \param[in] TSTERR
77*> \verbatim
78*> TSTERR is LOGICAL
79*> Flag that indicates whether error exits are to be tested.
80*> \endverbatim
81*>
82*> \param[in] NMAX
83*> \verbatim
84*> NMAX is INTEGER
85*> The maximum value permitted for N, used in dimensioning the
86*> work arrays.
87*> \endverbatim
88*>
89*> \param[out] A
90*> \verbatim
91*> A is REAL array, dimension (NMAX*NMAX)
92*> \endverbatim
93*>
94*> \param[out] AFAC
95*> \verbatim
96*> AFAC is REAL array, dimension (NMAX*NMAX)
97*> \endverbatim
98*>
99*> \param[out] AINV
100*> \verbatim
101*> AINV is REAL array, dimension (NMAX*NMAX)
102*> \endverbatim
103*>
104*> \param[out] B
105*> \verbatim
106*> B is REAL array, dimension (NMAX*NRHS)
107*> \endverbatim
108*>
109*> \param[out] X
110*> \verbatim
111*> X is REAL array, dimension (NMAX*NRHS)
112*> \endverbatim
113*>
114*> \param[out] XACT
115*> \verbatim
116*> XACT is REAL array, dimension (NMAX*NRHS)
117*> \endverbatim
118*>
119*> \param[out] WORK
120*> \verbatim
121*> WORK is REAL array, dimension (NMAX*max(2,NRHS))
122*> \endverbatim
123*>
124*> \param[out] RWORK
125*> \verbatim
126*> RWORK is REAL array, dimension (NMAX+2*NRHS)
127*> \endverbatim
128*>
129*> \param[out] IWORK
130*> \verbatim
131*> IWORK is INTEGER array, dimension (NMAX)
132*> \endverbatim
133*>
134*> \param[in] NOUT
135*> \verbatim
136*> NOUT is INTEGER
137*> The unit number for output.
138*> \endverbatim
139*
140* Authors:
141* ========
142*
143*> \author Univ. of Tennessee
144*> \author Univ. of California Berkeley
145*> \author Univ. of Colorado Denver
146*> \author NAG Ltd.
147*
148*> \ingroup real_lin
149*
150* =====================================================================
151 SUBROUTINE sdrvsy_aa_2stage(
152 $ DOTYPE, NN, NVAL, NRHS, THRESH, TSTERR,
153 $ NMAX, A, AFAC, AINV, B, X, XACT, WORK,
154 $ RWORK, IWORK, NOUT )
155*
156* -- LAPACK test routine --
157* -- LAPACK is a software package provided by Univ. of Tennessee, --
158* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
159*
160* .. Scalar Arguments ..
161 LOGICAL TSTERR
162 INTEGER NMAX, NN, NOUT, NRHS
163 REAL THRESH
164* ..
165* .. Array Arguments ..
166 LOGICAL DOTYPE( * )
167 INTEGER IWORK( * ), NVAL( * )
168 REAL RWORK( * )
169 REAL A( * ), AFAC( * ), AINV( * ), B( * ),
170 $ work( * ), x( * ), xact( * )
171* ..
172*
173* =====================================================================
174*
175* .. Parameters ..
176 REAL ONE, ZERO
177 PARAMETER ( ONE = 1.0e+0, zero = 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 SLANSY, SGET06
199 EXTERNAL SLANSY, SGET06
200* ..
201* .. External Subroutines ..
202 EXTERNAL aladhd, alaerh, alasvm, xlaenv, serrvx,
203 $ slacpy, slarhs, slatb4, slatms,
204 $ ssysv_aa_2stage, ssyt01_aa, spot02,
205 $ ssytrf_aa_2stage
206* ..
207* .. Scalars in Common ..
208 LOGICAL LERR, OK
209 CHARACTER*32 SRNAMT
210 INTEGER INFOT, NUNIT
211* ..
212* .. Common blocks ..
213 COMMON / infoc / infot, nunit, ok, lerr
214 COMMON / srnamc / srnamt
215* ..
216* .. Intrinsic Functions ..
217 INTRINSIC cmplx, max, min
218* ..
219* .. Data statements ..
220 DATA iseedy / 1988, 1989, 1990, 1991 /
221 DATA uplos / 'U', 'L' / , facts / 'F', 'N' /
222* ..
223* .. Executable Statements ..
224*
225* Initialize constants and the random number seed.
226*
227* Test path
228*
229 path( 1: 1 ) = 'Single precision'
230 path( 2: 3 ) = 'S2'
231*
232* Path to generate matrices
233*
234 matpath( 1: 1 ) = 'Single precision'
235 matpath( 2: 3 ) = 'sy'
236*
237 NRUN = 0
238 NFAIL = 0
239 NERRS = 0
240 DO 10 I = 1, 4
241 ISEED( I ) = ISEEDY( I )
242 10 CONTINUE
243*
244* Test the error exits
245*
246 IF( TSTERR )
247 $ CALL SERRVX( PATH, NOUT )
248 INFOT = 0
249*
250* Set the block size and minimum block size for testing.
251*
252 NB = 1
253 NBMIN = 2
254 CALL XLAENV( 1, NB )
255 CALL XLAENV( 2, NBMIN )
256*
257* Do for each value of N in NVAL
258*
259 DO 180 IN = 1, NN
260 N = NVAL( IN )
261 LDA = MAX( N, 1 )
262 XTYPE = 'n'
263 NIMAT = NTYPES
264.LE. IF( N0 )
265 $ NIMAT = 1
266*
267 DO 170 IMAT = 1, NIMAT
268*
269* Do the tests only if DOTYPE( IMAT ) is true.
270*
271.NOT. IF( DOTYPE( IMAT ) )
272 $ GO TO 170
273*
274* Skip types 3, 4, 5, or 6 if the matrix size is too small.
275*
276.GE..AND..LE. ZEROT = IMAT3 IMAT6
277.AND..LT. IF( ZEROT NIMAT-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 SLATB4 for the matrix generator
288* based on the type of matrix to be generated.
289*
290 CALL SLATB4( MATPATH, IMAT, N, N, TYPE, KL, KU, ANORM,
291 $ MODE, CNDNUM, DIST )
292*
293* Generate a matrix with SLATMS.
294*
295 SRNAMT = 'slatms'
296 CALL SLATMS( N, N, DIST, ISEED, TYPE, RWORK, MODE,
297 $ CNDNUM, ANORM, KL, KU, UPLO, A, LDA,
298 $ WORK, INFO )
299*
300* Check error code from SLATMS and handle error.
301*
302.NE. IF( INFO0 ) THEN
303 CALL ALAERH( PATH, 'slatms', INFO, 0, UPLO, N, N,
304 $ -1, -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
309* the matrix to test that INFO is returned correctly.
310*
311 IF( ZEROT ) THEN
312.EQ. IF( IMAT3 ) THEN
313 IZERO = 1
314.EQ. ELSE IF( IMAT4 ) THEN
315 IZERO = N
316 ELSE
317 IZERO = N / 2 + 1
318 END IF
319*
320.LT. IF( IMAT6 ) THEN
321*
322* Set row and column IZERO to zero.
323*
324.EQ. IF( IUPLO1 ) THEN
325 IOFF = ( IZERO-1 )*LDA
326 DO 20 I = 1, IZERO - 1
327 A( IOFF+I ) = ZERO
328 20 CONTINUE
329 IOFF = IOFF + IZERO
330 DO 30 I = IZERO, N
331 A( IOFF ) = ZERO
332 IOFF = IOFF + LDA
333 30 CONTINUE
334 ELSE
335 IOFF = IZERO
336 DO 40 I = 1, IZERO - 1
337 A( IOFF ) = ZERO
338 IOFF = IOFF + LDA
339 40 CONTINUE
340 IOFF = IOFF - IZERO
341 DO 50 I = IZERO, N
342 A( IOFF+I ) = ZERO
343 50 CONTINUE
344 END IF
345 ELSE
346 IOFF = 0
347.EQ. IF( IUPLO1 ) 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 ) = ZERO
355 60 CONTINUE
356 IOFF = IOFF + LDA
357 70 CONTINUE
358 IZERO = 1
359 ELSE
360*
361* Set the first IZERO rows and columns to zero.
362*
363 IOFF = 0
364 DO 90 J = 1, N
365 I1 = MAX( J, IZERO )
366 DO 80 I = I1, N
367 A( IOFF+I ) = ZERO
368 80 CONTINUE
369 IOFF = IOFF + LDA
370 90 CONTINUE
371 END IF
372 END IF
373 ELSE
374 IZERO = 0
375 END IF
376*
377* End generate the test matrix A.
378*
379*
380 DO 150 IFACT = 1, NFACT
381*
382* Do first for FACT = 'F', then for other values.
383*
384 FACT = FACTS( IFACT )
385*
386* Form an exact solution and set the right hand side.
387*
388 SRNAMT = 'slarhs'
389 CALL SLARHS( MATPATH, XTYPE, UPLO, ' ', N, N, KL, KU,
390 $ NRHS, A, LDA, XACT, LDA, B, LDA, ISEED,
391 $ INFO )
392 XTYPE = 'c'
393*
394* --- Test SSYSV_AA_2STAGE ---
395*
396.EQ. IF( IFACT2 ) THEN
397 CALL SLACPY( UPLO, N, N, A, LDA, AFAC, LDA )
398 CALL SLACPY( 'full', N, NRHS, B, LDA, X, LDA )
399*
400* Factor the matrix and solve the system using SSYSV_AA.
401*
402 SRNAMT = 'ssysv_aa_2stage '
403 LWORK = MIN(N*NB, 3*NMAX*NMAX)
404 CALL SSYSV_AA_2STAGE( UPLO, N, NRHS, AFAC, LDA,
405 $ AINV, (3*NB+1)*N,
406 $ IWORK, IWORK( 1+N ),
407 $ X, LDA, WORK, LWORK, INFO )
408*
409* Adjust the expected value of INFO to account for
410* pivoting.
411*
412.GT. IF( IZERO0 ) THEN
413 J = 1
414 K = IZERO
415 100 CONTINUE
416.EQ. IF( JK ) THEN
417 K = IWORK( J )
418.EQ. ELSE IF( IWORK( J )K ) THEN
419 K = J
420 END IF
421.LT. IF( JK ) THEN
422 J = J + 1
423 GO TO 100
424 END IF
425 ELSE
426 K = 0
427 END IF
428*
429* Check error code from SSYSV_AA .
430*
431.NE. IF( INFOK ) THEN
432 CALL ALAERH( PATH, 'ssysv_aa', INFO, K,
433 $ UPLO, N, N, -1, -1, NRHS,
434 $ IMAT, NFAIL, NERRS, NOUT )
435 GO TO 120
436.NE. ELSE IF( INFO0 ) THEN
437 GO TO 120
438 END IF
439*
440* Compute residual of the computed solution.
441*
442 CALL SLACPY( 'full', N, NRHS, B, LDA, WORK, LDA )
443 CALL SPOT02( UPLO, N, NRHS, A, LDA, X, LDA, WORK,
444 $ LDA, RWORK, RESULT( 1 ) )
445*
446* Reconstruct matrix from factors and compute
447* residual.
448*
449c CALL SSY01_AA( UPLO, N, A, LDA, AFAC, LDA,
450c $ IWORK, AINV, LDA, RWORK,
451c $ RESULT( 2 ) )
452c NT = 2
453 NT = 1
454*
455* Print information about the tests that did not pass
456* the threshold.
457*
458 DO 110 K = 1, NT
459.GE. IF( RESULT( K )THRESH ) THEN
460.EQ..AND..EQ. IF( NFAIL0 NERRS0 )
461 $ CALL ALADHD( NOUT, PATH )
462 WRITE( NOUT, FMT = 9999 )'ssysv_aa ',
463 $ UPLO, N, IMAT, K, RESULT( K )
464 NFAIL = NFAIL + 1
465 END IF
466 110 CONTINUE
467 NRUN = NRUN + NT
468 120 CONTINUE
469 END IF
470*
471 150 CONTINUE
472*
473 160 CONTINUE
474 170 CONTINUE
475 180 CONTINUE
476*
477* Print a summary of the results.
478*
479 CALL ALASVM( PATH, NOUT, NFAIL, NRUN, NERRS )
480*
481 9999 FORMAT( 1X, A, ', uplo=''', A1, ''', n =', I5, ', type ', I2,
482 $ ', test ', I2, ', ratio =', G12.5 )
483 RETURN
484*
485* End of SDRVSY_AA_2STAGE
486*
487 END
cmplx
float cmplx[2]
Definition pblas.h:136
slacpy
subroutine slacpy(uplo, m, n, a, lda, b, ldb)
SLACPY copies all or part of one two-dimensional array to another.
Definition slacpy.f:103
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
ssytrf_aa_2stage
subroutine ssytrf_aa_2stage(uplo, n, a, lda, tb, ltb, ipiv, ipiv2, work, lwork, info)
SSYTRF_AA_2STAGE
Definition ssytrf_aa_2stage.f:160
ssysv_aa_2stage
subroutine ssysv_aa_2stage(uplo, n, nrhs, a, lda, tb, ltb, ipiv, ipiv2, b, ldb, work, lwork, info)
SSYSV_AA_2STAGE computes the solution to system of linear equations A * X = B for SY matrices
Definition ssysv_aa_2stage.f:187
ssysv_aa
subroutine ssysv_aa(uplo, n, nrhs, a, lda, ipiv, b, ldb, work, lwork, info)
SSYSV_AA computes the solution to system of linear equations A * X = B for SY matrices
Definition ssysv_aa.f:162
slatms
subroutine slatms(m, n, dist, iseed, sym, d, mode, cond, dmax, kl, ku, pack, a, lda, work, info)
SLATMS
Definition slatms.f:321
slarhs
subroutine slarhs(path, xtype, uplo, trans, m, n, kl, ku, nrhs, a, lda, x, ldx, b, ldb, iseed, info)
SLARHS
Definition slarhs.f:205
spot02
subroutine spot02(uplo, n, nrhs, a, lda, x, ldx, b, ldb, rwork, resid)
SPOT02
Definition spot02.f:127
serrvx
subroutine serrvx(path, nunit)
SERRVX
Definition serrvx.f:55
slatb4
subroutine slatb4(path, imat, m, n, type, kl, ku, anorm, mode, cndnum, dist)
SLATB4
Definition slatb4.f:120
min
#define min(a, b)
Definition macros.h:20
max
#define max(a, b)
Definition macros.h:21
sdrvsy_aa_2stage
subroutine sdrvsy_aa_2stage(dotype, nn, nval, nrhs, thresh, tsterr, nmax, a, afac, ainv, b, x, xact, work, rwork, iwork, nout)
SDRVSY_AA_2STAGE
Definition sdrvsy_aa_2stage.f:155
ssyt01_aa
subroutine ssyt01_aa(uplo, n, a, lda, afac, ldafac, ipiv, c, ldc, rwork, resid)
SSYT01_AA
Definition ssyt01_aa.f:124