LAPACK 3.12.0 LAPACK: Linear Algebra PACKage
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cchkps.f
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1*> \brief \b CCHKPS
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 CCHKPS( DOTYPE, NN, NVAL, NNB, NBVAL, NRANK, RANKVAL,
12* THRESH, TSTERR, NMAX, A, AFAC, PERM, PIV, WORK,
13* RWORK, NOUT )
14*
15* .. Scalar Arguments ..
16* REAL THRESH
17* INTEGER NMAX, NN, NNB, NOUT, NRANK
18* LOGICAL TSTERR
19* ..
20* .. Array Arguments ..
21* COMPLEX A( * ), AFAC( * ), PERM( * ), WORK( * )
22* REAL RWORK( * )
23* INTEGER NBVAL( * ), NVAL( * ), PIV( * ), RANKVAL( * )
24* LOGICAL DOTYPE( * )
25* ..
26*
27*
28*> \par Purpose:
29* =============
30*>
31*> \verbatim
32*>
33*> CCHKPS tests CPSTRF.
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 REAL
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 COMPLEX array, dimension (NMAX*NMAX)
107*> \endverbatim
108*>
109*> \param[out] AFAC
110*> \verbatim
111*> AFAC is COMPLEX array, dimension (NMAX*NMAX)
112*> \endverbatim
113*>
114*> \param[out] PERM
115*> \verbatim
116*> PERM is COMPLEX 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 COMPLEX array, dimension (NMAX*3)
127*> \endverbatim
128*>
129*> \param[out] RWORK
130*> \verbatim
131*> RWORK is REAL 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 complex_lin
149*
150* =====================================================================
151 SUBROUTINE cchkps( 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 REAL THRESH
161 INTEGER NMAX, NN, NNB, NOUT, NRANK
162 LOGICAL TSTERR
163* ..
164* .. Array Arguments ..
165 COMPLEX A( * ), AFAC( * ), PERM( * ), WORK( * )
166 REAL RWORK( * )
167 INTEGER NBVAL( * ), NVAL( * ), PIV( * ), RANKVAL( * )
168 LOGICAL DOTYPE( * )
169* ..
170*
171* =====================================================================
172*
173* .. Parameters ..
174 REAL ONE
175 PARAMETER ( ONE = 1.0e+0 )
176 INTEGER NTYPES
177 parameter( ntypes = 9 )
178* ..
179* .. Local Scalars ..
180 REAL 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, cerrps, clacpy,
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 max, real, 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 ) = 'Complex 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 cerrps( path, nout )
228 infot = 0
229*
230* Do for each value of N in NVAL
231*
232 DO 150 in = 1, nn
233 n = nval( in )
234 lda = max( n, 1 )
235 nimat = ntypes
236 IF( n.LE.0 )
237 \$ nimat = 1
238*
239 izero = 0
240 DO 140 imat = 1, nimat
241*
242* Do the tests only if DOTYPE( IMAT ) is true.
243*
244 IF( .NOT.dotype( imat ) )
245 \$ GO TO 140
246*
247* Do for each value of RANK in RANKVAL
248*
249 DO 130 irank = 1, nrank
250*
251* Only repeat test 3 to 5 for different ranks
252* Other tests use full rank
253*
254 IF( ( imat.LT.3 .OR. imat.GT.5 ) .AND. irank.GT.1 )
255 \$ GO TO 130
256*
257 rank = ceiling( ( n * real( rankval( irank ) ) )
258 \$ / 100.e+0 )
259*
260*
261* Do first for UPLO = 'U', then for UPLO = 'L'
262*
263 DO 120 iuplo = 1, 2
264 uplo = uplos( iuplo )
265*
266* Set up parameters with CLATB5 and generate a test matrix
267* with CLATMT.
268*
269 CALL clatb5( path, imat, n, TYPE, kl, ku, anorm,
270 \$ mode, cndnum, dist )
271*
272 srnamt = 'CLATMT'
273 CALL clatmt( n, n, dist, iseed, TYPE, rwork, mode,
274 \$ cndnum, anorm, rank, kl, ku, uplo, a,
275 \$ lda, work, info )
276*
277* Check error code from CLATMT.
278*
279 IF( info.NE.0 ) THEN
280 CALL alaerh( path, 'CLATMT', info, 0, uplo, n,
281 \$ n, -1, -1, -1, imat, nfail, nerrs,
282 \$ nout )
283 GO TO 120
284 END IF
285*
286* Do for each value of NB in NBVAL
287*
288 DO 110 inb = 1, nnb
289 nb = nbval( inb )
290 CALL xlaenv( 1, nb )
291*
292* Compute the pivoted L*L' or U'*U factorization
293* of the matrix.
294*
295 CALL clacpy( uplo, n, n, a, lda, afac, lda )
296 srnamt = 'CPSTRF'
297*
298* Use default tolerance
299*
300 tol = -one
301 CALL cpstrf( uplo, n, afac, lda, piv, comprank,
302 \$ tol, rwork, info )
303*
304* Check error code from CPSTRF.
305*
306 IF( (info.LT.izero)
307 \$ .OR.(info.NE.izero.AND.rank.EQ.n)
308 \$ .OR.(info.LE.izero.AND.rank.LT.n) ) THEN
309 CALL alaerh( path, 'CPSTRF', info, izero,
310 \$ uplo, n, n, -1, -1, nb, imat,
311 \$ nfail, nerrs, nout )
312 GO TO 110
313 END IF
314*
315* Skip the test if INFO is not 0.
316*
317 IF( info.NE.0 )
318 \$ GO TO 110
319*
320* Reconstruct matrix from factors and compute residual.
321*
322* PERM holds permuted L*L^T or U^T*U
323*
324 CALL cpst01( uplo, n, a, lda, afac, lda, perm, lda,
325 \$ piv, rwork, result, comprank )
326*
327* Print information about the tests that did not pass
328* the threshold or where computed rank was not RANK.
329*
330 IF( n.EQ.0 )
331 \$ comprank = 0
332 rankdiff = rank - comprank
333 IF( result.GE.thresh ) THEN
334 IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
335 \$ CALL alahd( nout, path )
336 WRITE( nout, fmt = 9999 )uplo, n, rank,
337 \$ rankdiff, nb, imat, result
338 nfail = nfail + 1
339 END IF
340 nrun = nrun + 1
341 110 CONTINUE
342*
343 120 CONTINUE
344 130 CONTINUE
345 140 CONTINUE
346 150 CONTINUE
347*
348* Print a summary of the results.
349*
350 CALL alasum( path, nout, nfail, nrun, nerrs )
351*
352 9999 FORMAT( ' UPLO = ''', a1, ''', N =', i5, ', RANK =', i3,
353 \$ ', Diff =', i5, ', NB =', i4, ', type ', i2, ', Ratio =',
354 \$ g12.5 )
355 RETURN
356*
357* End of CCHKPS
358*
359 END
subroutine alasum(type, nout, nfail, nrun, nerrs)
ALASUM
Definition alasum.f:73
subroutine xlaenv(ispec, nvalue)
XLAENV
Definition xlaenv.f:81
subroutine alaerh(path, subnam, info, infoe, opts, m, n, kl, ku, n5, imat, nfail, nerrs, nout)
ALAERH
Definition alaerh.f:147
subroutine alahd(iounit, path)
ALAHD
Definition alahd.f:107
subroutine cchkps(dotype, nn, nval, nnb, nbval, nrank, rankval, thresh, tsterr, nmax, a, afac, perm, piv, work, rwork, nout)
CCHKPS
Definition cchkps.f:154
subroutine cerrps(path, nunit)
CERRPS
Definition cerrps.f:55
subroutine clatb5(path, imat, n, type, kl, ku, anorm, mode, cndnum, dist)
CLATB5
Definition clatb5.f:114
subroutine clatmt(m, n, dist, iseed, sym, d, mode, cond, dmax, rank, kl, ku, pack, a, lda, work, info)
CLATMT
Definition clatmt.f:340
subroutine cpst01(uplo, n, a, lda, afac, ldafac, perm, ldperm, piv, rwork, resid, rank)
CPST01
Definition cpst01.f:136
subroutine clacpy(uplo, m, n, a, lda, b, ldb)
CLACPY copies all or part of one two-dimensional array to another.
Definition clacpy.f:103
subroutine cpstrf(uplo, n, a, lda, piv, rank, tol, work, info)
CPSTRF computes the Cholesky factorization with complete pivoting of complex Hermitian positive semid...
Definition cpstrf.f:142