OpenRadioss 2025.1.11
OpenRadioss project
Loading...
Searching...
No Matches
schkps.f
Go to the documentation of this file.
1*> \brief \b SCHKPS
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 SCHKPS( 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* REAL 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*> SCHKPS tests SPSTRF.
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 REAL array, dimension (NMAX*NMAX)
107*> \endverbatim
108*>
109*> \param[out] AFAC
110*> \verbatim
111*> AFAC is REAL array, dimension (NMAX*NMAX)
112*> \endverbatim
113*>
114*> \param[out] PERM
115*> \verbatim
116*> PERM is REAL 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 REAL 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 single_lin
149*
150* =====================================================================
151 SUBROUTINE schkps( 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 REAL A( * ), AFAC( * ), PERM( * ), RWORK( * ),
166 $ WORK( * )
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, serrps, slacpy, slatb5,
193 $ slatmt, spst01, spstrf, 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 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 ) = 'Single 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 serrps( 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 * real( rankval( irank ) ) )
259 $ / 100.e+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 SLATB5 and generate a test matrix
268* with SLATMT.
269*
270 CALL slatb5( path, imat, n, TYPE, kl, ku, anorm,
271 $ mode, cndnum, dist )
272*
273 srnamt = 'SLATMT'
274 CALL slatmt( 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 SLATMT.
279*
280 IF( info.NE.0 ) THEN
281 CALL alaerh( path, 'slatmt', 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 SLACPY( UPLO, N, N, A, LDA, AFAC, LDA )
297 SRNAMT = 'spstrf'
298*
299* Use default tolerance
300*
301 TOL = -ONE
302 CALL SPSTRF( UPLO, N, AFAC, LDA, PIV, COMPRANK,
303 $ TOL, WORK, INFO )
304*
305* Check error code from SPSTRF.
306*
307.LT. IF( (INFOIZERO)
308.OR..NE..AND..EQ. $ (INFOIZERORANKN)
309.OR..LE..AND..LT. $ (INFOIZERORANKN) ) THEN
310 CALL ALAERH( PATH, 'spstrf', 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.NE. IF( INFO0 )
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 SPST01( 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.EQ. IF( N0 )
332 $ COMPRANK = 0
333 RANKDIFF = RANK - COMPRANK
334.GE. IF( RESULTTHRESH ) THEN
335.EQ..AND..EQ. IF( NFAIL0 NERRS0 )
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 SCHKPS
359*
360 END
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
alasum
subroutine alasum(type, nout, nfail, nrun, nerrs)
ALASUM
Definition alasum.f:73
alahd
subroutine alahd(iounit, path)
ALAHD
Definition alahd.f:107
alaerh
subroutine alaerh(path, subnam, info, infoe, opts, m, n, kl, ku, n5, imat, nfail, nerrs, nout)
ALAERH
Definition alaerh.f:147
spstrf
subroutine spstrf(uplo, n, a, lda, piv, rank, tol, work, info)
SPSTRF computes the Cholesky factorization with complete pivoting of a real symmetric positive semide...
Definition spstrf.f:141
slatmt
subroutine slatmt(m, n, dist, iseed, sym, d, mode, cond, dmax, rank, kl, ku, pack, a, lda, work, info)
SLATMT
Definition slatmt.f:331
schkps
subroutine schkps(dotype, nn, nval, nnb, nbval, nrank, rankval, thresh, tsterr, nmax, a, afac, perm, piv, work, rwork, nout)
SCHKPS
Definition schkps.f:154
serrps
subroutine serrps(path, nunit)
SERRPS
Definition serrps.f:55
slatb5
subroutine slatb5(path, imat, n, type, kl, ku, anorm, mode, cndnum, dist)
SLATB5
Definition slatb5.f:114
spst01
subroutine spst01(uplo, n, a, lda, afac, ldafac, perm, ldperm, piv, rwork, resid, rank)
SPST01
Definition spst01.f:134
max
#define max(a, b)
Definition macros.h:21