LAPACK 3.12.1
LAPACK: Linear Algebra PACKage
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dchkps.f
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1*> \brief \b DCHKPS
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 DCHKPS( DOTYPE, NN, NVAL, NNB, NBVAL, NRANK, RANKVAL,
12* THRESH, TSTERR, NMAX, A, AFAC, PERM, PIV, WORK,
13* RWORK, NOUT )
14*
15* .. Scalar Arguments ..
16* DOUBLE PRECISION THRESH
17* INTEGER NMAX, NN, NNB, NOUT, NRANK
18* LOGICAL TSTERR
19* ..
20* .. Array Arguments ..
21* DOUBLE PRECISION A( * ), AFAC( * ), PERM( * ), RWORK( * ),
22* $ WORK( * )
23* INTEGER NBVAL( * ), NVAL( * ), PIV( * ), RANKVAL( * )
24* LOGICAL DOTYPE( * )
25* ..
26*
27*
28*> \par Purpose:
29* =============
30*>
31*> \verbatim
32*>
33*> DCHKPS tests DPSTRF.
34*> \endverbatim
35*
36* Arguments:
37* ==========
38*
39*> \param[in] DOTYPE
40*> \verbatim
41*> DOTYPE is LOGICAL array, dimension (NTYPES)
42*> The matrix types to be used for testing. Matrices of type j
43*> (for 1 <= j <= NTYPES) are used for testing if DOTYPE(j) =
44*> .TRUE.; if DOTYPE(j) = .FALSE., then type j is not used.
45*> \endverbatim
46*>
47*> \param[in] NN
48*> \verbatim
49*> NN is INTEGER
50*> The number of values of N contained in the vector NVAL.
51*> \endverbatim
52*>
53*> \param[in] NVAL
54*> \verbatim
55*> NVAL is INTEGER array, dimension (NN)
56*> The values of the matrix dimension N.
57*> \endverbatim
58*>
59*> \param[in] NNB
60*> \verbatim
61*> NNB is INTEGER
62*> The number of values of NB contained in the vector NBVAL.
63*> \endverbatim
64*>
65*> \param[in] NBVAL
66*> \verbatim
67*> NBVAL is INTEGER array, dimension (NNB)
68*> The values of the block size NB.
69*> \endverbatim
70*>
71*> \param[in] NRANK
72*> \verbatim
73*> NRANK is INTEGER
74*> The number of values of RANK contained in the vector RANKVAL.
75*> \endverbatim
76*>
77*> \param[in] RANKVAL
78*> \verbatim
79*> RANKVAL is INTEGER array, dimension (NBVAL)
80*> The values of the block size NB.
81*> \endverbatim
82*>
83*> \param[in] THRESH
84*> \verbatim
85*> THRESH is DOUBLE PRECISION
86*> The threshold value for the test ratios. A result is
87*> included in the output file if RESULT >= THRESH. To have
88*> every test ratio printed, use THRESH = 0.
89*> \endverbatim
90*>
91*> \param[in] TSTERR
92*> \verbatim
93*> TSTERR is LOGICAL
94*> Flag that indicates whether error exits are to be tested.
95*> \endverbatim
96*>
97*> \param[in] NMAX
98*> \verbatim
99*> NMAX is INTEGER
100*> The maximum value permitted for N, used in dimensioning the
101*> work arrays.
102*> \endverbatim
103*>
104*> \param[out] A
105*> \verbatim
106*> A is DOUBLE PRECISION array, dimension (NMAX*NMAX)
107*> \endverbatim
108*>
109*> \param[out] AFAC
110*> \verbatim
111*> AFAC is DOUBLE PRECISION array, dimension (NMAX*NMAX)
112*> \endverbatim
113*>
114*> \param[out] PERM
115*> \verbatim
116*> PERM is DOUBLE PRECISION array, dimension (NMAX*NMAX)
117*> \endverbatim
118*>
119*> \param[out] PIV
120*> \verbatim
121*> PIV is INTEGER array, dimension (NMAX)
122*> \endverbatim
123*>
124*> \param[out] WORK
125*> \verbatim
126*> WORK is DOUBLE PRECISION array, dimension (NMAX*3)
127*> \endverbatim
128*>
129*> \param[out] RWORK
130*> \verbatim
131*> RWORK is DOUBLE PRECISION 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 double_lin
149*
150* =====================================================================
151 SUBROUTINE dchkps( DOTYPE, NN, NVAL, NNB, NBVAL, NRANK, RANKVAL,
152 $ THRESH, TSTERR, NMAX, A, AFAC, PERM, PIV, WORK,
153 $ RWORK, NOUT )
154*
155* -- LAPACK test routine --
156* -- LAPACK is a software package provided by Univ. of Tennessee, --
157* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
158*
159* .. Scalar Arguments ..
160 DOUBLE PRECISION THRESH
161 INTEGER NMAX, NN, NNB, NOUT, NRANK
162 LOGICAL TSTERR
163* ..
164* .. Array Arguments ..
165 DOUBLE PRECISION A( * ), AFAC( * ), PERM( * ), RWORK( * ),
166 $ WORK( * )
167 INTEGER NBVAL( * ), NVAL( * ), PIV( * ), RANKVAL( * )
168 LOGICAL DOTYPE( * )
169* ..
170*
171* =====================================================================
172*
173* .. Parameters ..
174 DOUBLE PRECISION ONE
175 PARAMETER ( ONE = 1.0d+0 )
176 INTEGER NTYPES
177 parameter( ntypes = 9 )
178* ..
179* .. Local Scalars ..
180 DOUBLE PRECISION ANORM, CNDNUM, RESULT, TOL
181 INTEGER COMPRANK, I, IMAT, IN, INB, INFO, IRANK, IUPLO,
182 $ izero, kl, ku, lda, mode, n, nb, nerrs, nfail,
183 $ nimat, nrun, rank, rankdiff
184 CHARACTER DIST, TYPE, UPLO
185 CHARACTER*3 PATH
186* ..
187* .. Local Arrays ..
188 INTEGER ISEED( 4 ), ISEEDY( 4 )
189 CHARACTER UPLOS( 2 )
190* ..
191* .. External Subroutines ..
192 EXTERNAL alaerh, alahd, alasum, derrps, dlacpy, dlatb5,
193 $ dlatmt, dpst01, dpstrf, xlaenv
194* ..
195* .. Scalars in Common ..
196 INTEGER INFOT, NUNIT
197 LOGICAL LERR, OK
198 CHARACTER*32 SRNAMT
199* ..
200* .. Common blocks ..
201 COMMON / infoc / infot, nunit, ok, lerr
202 COMMON / srnamc / srnamt
203* ..
204* .. Intrinsic Functions ..
205 INTRINSIC dble, max, ceiling
206* ..
207* .. Data statements ..
208 DATA iseedy / 1988, 1989, 1990, 1991 /
209 DATA uplos / 'U', 'L' /
210* ..
211* .. Executable Statements ..
212*
213* Initialize constants and the random number seed.
214*
215 path( 1: 1 ) = 'Double precision'
216 path( 2: 3 ) = 'PS'
217 nrun = 0
218 nfail = 0
219 nerrs = 0
220 DO 100 i = 1, 4
221 iseed( i ) = iseedy( i )
222 100 CONTINUE
223*
224* Test the error exits
225*
226 IF( tsterr )
227 $ CALL derrps( path, nout )
228 infot = 0
229 CALL xlaenv( 2, 2 )
230*
231* Do for each value of N in NVAL
232*
233 DO 150 in = 1, nn
234 n = nval( in )
235 lda = max( n, 1 )
236 nimat = ntypes
237 IF( n.LE.0 )
238 $ nimat = 1
239*
240 izero = 0
241 DO 140 imat = 1, nimat
242*
243* Do the tests only if DOTYPE( IMAT ) is true.
244*
245 IF( .NOT.dotype( imat ) )
246 $ GO TO 140
247*
248* Do for each value of RANK in RANKVAL
249*
250 DO 130 irank = 1, nrank
251*
252* Only repeat test 3 to 5 for different ranks
253* Other tests use full rank
254*
255 IF( ( imat.LT.3 .OR. imat.GT.5 ) .AND. irank.GT.1 )
256 $ GO TO 130
257*
258 rank = ceiling( ( n * dble( rankval( irank ) ) )
259 $ / 100.d+0 )
260*
261*
262* Do first for UPLO = 'U', then for UPLO = 'L'
263*
264 DO 120 iuplo = 1, 2
265 uplo = uplos( iuplo )
266*
267* Set up parameters with DLATB5 and generate a test matrix
268* with DLATMT.
269*
270 CALL dlatb5( path, imat, n, TYPE, kl, ku, anorm,
271 $ mode, cndnum, dist )
272*
273 srnamt = 'DLATMT'
274 CALL dlatmt( n, n, dist, iseed, TYPE, rwork, mode,
275 $ cndnum, anorm, rank, kl, ku, uplo, a,
276 $ lda, work, info )
277*
278* Check error code from DLATMT.
279*
280 IF( info.NE.0 ) THEN
281 CALL alaerh( path, 'DLATMT', info, 0, uplo, n,
282 $ n, -1, -1, -1, imat, nfail, nerrs,
283 $ nout )
284 GO TO 120
285 END IF
286*
287* Do for each value of NB in NBVAL
288*
289 DO 110 inb = 1, nnb
290 nb = nbval( inb )
291 CALL xlaenv( 1, nb )
292*
293* Compute the pivoted L*L' or U'*U factorization
294* of the matrix.
295*
296 CALL dlacpy( uplo, n, n, a, lda, afac, lda )
297 srnamt = 'DPSTRF'
298*
299* Use default tolerance
300*
301 tol = -one
302 CALL dpstrf( uplo, n, afac, lda, piv, comprank,
303 $ tol, work, info )
304*
305* Check error code from DPSTRF.
306*
307 IF( (info.LT.izero)
308 $ .OR.(info.NE.izero.AND.rank.EQ.n)
309 $ .OR.(info.LE.izero.AND.rank.LT.n) ) THEN
310 CALL alaerh( path, 'DPSTRF', info, izero,
311 $ uplo, n, n, -1, -1, nb, imat,
312 $ nfail, nerrs, nout )
313 GO TO 110
314 END IF
315*
316* Skip the test if INFO is not 0.
317*
318 IF( info.NE.0 )
319 $ GO TO 110
320*
321* Reconstruct matrix from factors and compute residual.
322*
323* PERM holds permuted L*L^T or U^T*U
324*
325 CALL dpst01( uplo, n, a, lda, afac, lda, perm, lda,
326 $ piv, rwork, result, comprank )
327*
328* Print information about the tests that did not pass
329* the threshold or where computed rank was not RANK.
330*
331 IF( n.EQ.0 )
332 $ comprank = 0
333 rankdiff = rank - comprank
334 IF( result.GE.thresh ) THEN
335 IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
336 $ CALL alahd( nout, path )
337 WRITE( nout, fmt = 9999 )uplo, n, rank,
338 $ rankdiff, nb, imat, result
339 nfail = nfail + 1
340 END IF
341 nrun = nrun + 1
342 110 CONTINUE
343*
344 120 CONTINUE
345 130 CONTINUE
346 140 CONTINUE
347 150 CONTINUE
348*
349* Print a summary of the results.
350*
351 CALL alasum( path, nout, nfail, nrun, nerrs )
352*
353 9999 FORMAT( ' UPLO = ''', a1, ''', N =', i5, ', RANK =', i3,
354 $ ', Diff =', i5, ', NB =', i4, ', type ', i2, ', Ratio =',
355 $ g12.5 )
356 RETURN
357*
358* End of DCHKPS
359*
360 END
alasum
subroutine alasum(type, nout, nfail, nrun, nerrs)
ALASUM
Definition alasum.f:73
xlaenv
subroutine xlaenv(ispec, nvalue)
XLAENV
Definition xlaenv.f:81
alaerh
subroutine alaerh(path, subnam, info, infoe, opts, m, n, kl, ku, n5, imat, nfail, nerrs, nout)
ALAERH
Definition alaerh.f:147
alahd
subroutine alahd(iounit, path)
ALAHD
Definition alahd.f:107
dchkps
subroutine dchkps(dotype, nn, nval, nnb, nbval, nrank, rankval, thresh, tsterr, nmax, a, afac, perm, piv, work, rwork, nout)
DCHKPS
Definition dchkps.f:154
derrps
subroutine derrps(path, nunit)
DERRPS
Definition derrps.f:55
dlatb5
subroutine dlatb5(path, imat, n, type, kl, ku, anorm, mode, cndnum, dist)
DLATB5
Definition dlatb5.f:114
dlatmt
subroutine dlatmt(m, n, dist, iseed, sym, d, mode, cond, dmax, rank, kl, ku, pack, a, lda, work, info)
DLATMT
Definition dlatmt.f:331
dpst01
subroutine dpst01(uplo, n, a, lda, afac, ldafac, perm, ldperm, piv, rwork, resid, rank)
DPST01
Definition dpst01.f:134
dlacpy
subroutine dlacpy(uplo, m, n, a, lda, b, ldb)
DLACPY copies all or part of one two-dimensional array to another.
Definition dlacpy.f:101
dpstrf
subroutine dpstrf(uplo, n, a, lda, piv, rank, tol, work, info)
DPSTRF computes the Cholesky factorization with complete pivoting of a real symmetric positive semide...
Definition dpstrf.f:141