LAPACK 3.12.1
LAPACK: Linear Algebra PACKage
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◆ schkps()

subroutine schkps ( logical, dimension( * ) dotype,
integer nn,
integer, dimension( * ) nval,
integer nnb,
integer, dimension( * ) nbval,
integer nrank,
integer, dimension( * ) rankval,
real thresh,
logical tsterr,
integer nmax,
real, dimension( * ) a,
real, dimension( * ) afac,
real, dimension( * ) perm,
integer, dimension( * ) piv,
real, dimension( * ) work,
real, dimension( * ) rwork,
integer nout )

SCHKPS

Purpose:
!>
!> SCHKPS tests SPSTRF.
!>
Parameters
[in]DOTYPE
!>          DOTYPE is LOGICAL array, dimension (NTYPES)
!>          The matrix types to be used for testing.  Matrices of type j
!>          (for 1 <= j <= NTYPES) are used for testing if DOTYPE(j) =
!>          .TRUE.; if DOTYPE(j) = .FALSE., then type j is not used.
!>
[in]NN
!>          NN is INTEGER
!>          The number of values of N contained in the vector NVAL.
!>
[in]NVAL
!>          NVAL is INTEGER array, dimension (NN)
!>          The values of the matrix dimension N.
!>
[in]NNB
!>          NNB is INTEGER
!>          The number of values of NB contained in the vector NBVAL.
!>
[in]NBVAL
!>          NBVAL is INTEGER array, dimension (NNB)
!>          The values of the block size NB.
!>
[in]NRANK
!>          NRANK is INTEGER
!>          The number of values of RANK contained in the vector RANKVAL.
!>
[in]RANKVAL
!>          RANKVAL is INTEGER array, dimension (NBVAL)
!>          The values of the block size NB.
!>
[in]THRESH
!>          THRESH is REAL
!>          The threshold value for the test ratios.  A result is
!>          included in the output file if RESULT >= THRESH.  To have
!>          every test ratio printed, use THRESH = 0.
!>
[in]TSTERR
!>          TSTERR is LOGICAL
!>          Flag that indicates whether error exits are to be tested.
!>
[in]NMAX
!>          NMAX is INTEGER
!>          The maximum value permitted for N, used in dimensioning the
!>          work arrays.
!>
[out]A
!>          A is REAL array, dimension (NMAX*NMAX)
!>
[out]AFAC
!>          AFAC is REAL array, dimension (NMAX*NMAX)
!>
[out]PERM
!>          PERM is REAL array, dimension (NMAX*NMAX)
!>
[out]PIV
!>          PIV is INTEGER array, dimension (NMAX)
!>
[out]WORK
!>          WORK is REAL array, dimension (NMAX*3)
!>
[out]RWORK
!>          RWORK is REAL array, dimension (NMAX)
!>
[in]NOUT
!>          NOUT is INTEGER
!>          The unit number for output.
!>
Author
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.

Definition at line 151 of file schkps.f.

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 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, '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 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 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 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 SCHKPS
359*
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
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:101
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:140
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
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
spst01
subroutine spst01(uplo, n, a, lda, afac, ldafac, perm, ldperm, piv, rwork, resid, rank)
SPST01
Definition spst01.f:134
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