LAPACK 3.12.1
LAPACK: Linear Algebra PACKage
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◆ dcklse()

subroutine dcklse ( integer nn,
integer, dimension( * ) mval,
integer, dimension( * ) pval,
integer, dimension( * ) nval,
integer nmats,
integer, dimension( 4 ) iseed,
double precision thresh,
integer nmax,
double precision, dimension( * ) a,
double precision, dimension( * ) af,
double precision, dimension( * ) b,
double precision, dimension( * ) bf,
double precision, dimension( * ) x,
double precision, dimension( * ) work,
double precision, dimension( * ) rwork,
integer nin,
integer nout,
integer info )

DCKLSE

Purpose:
!>
!> DCKLSE tests DGGLSE - a subroutine for solving linear equality
!> constrained least square problem (LSE).
!>
Parameters
[in]NN
!>          NN is INTEGER
!>          The number of values of (M,P,N) contained in the vectors
!>          (MVAL, PVAL, NVAL).
!>
[in]MVAL
!>          MVAL is INTEGER array, dimension (NN)
!>          The values of the matrix row(column) dimension M.
!>
[in]PVAL
!>          PVAL is INTEGER array, dimension (NN)
!>          The values of the matrix row(column) dimension P.
!>
[in]NVAL
!>          NVAL is INTEGER array, dimension (NN)
!>          The values of the matrix column(row) dimension N.
!>
[in]NMATS
!>          NMATS is INTEGER
!>          The number of matrix types to be tested for each combination
!>          of matrix dimensions.  If NMATS >= NTYPES (the maximum
!>          number of matrix types), then all the different types are
!>          generated for testing.  If NMATS < NTYPES, another input line
!>          is read to get the numbers of the matrix types to be used.
!>
[in,out]ISEED
!>          ISEED is INTEGER array, dimension (4)
!>          On entry, the seed of the random number generator.  The array
!>          elements should be between 0 and 4095, otherwise they will be
!>          reduced mod 4096, and ISEED(4) must be odd.
!>          On exit, the next seed in the random number sequence after
!>          all the test matrices have been generated.
!>
[in]THRESH
!>          THRESH is DOUBLE PRECISION
!>          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]NMAX
!>          NMAX is INTEGER
!>          The maximum value permitted for M or N, used in dimensioning
!>          the work arrays.
!>
[out]A
!>          A is DOUBLE PRECISION array, dimension (NMAX*NMAX)
!>
[out]AF
!>          AF is DOUBLE PRECISION array, dimension (NMAX*NMAX)
!>
[out]B
!>          B is DOUBLE PRECISION array, dimension (NMAX*NMAX)
!>
[out]BF
!>          BF is DOUBLE PRECISION array, dimension (NMAX*NMAX)
!>
[out]X
!>          X is DOUBLE PRECISION array, dimension (5*NMAX)
!>
[out]WORK
!>          WORK is DOUBLE PRECISION array, dimension (NMAX*NMAX)
!>
[out]RWORK
!>          RWORK is DOUBLE PRECISION array, dimension (NMAX)
!>
[in]NIN
!>          NIN is INTEGER
!>          The unit number for input.
!>
[in]NOUT
!>          NOUT is INTEGER
!>          The unit number for output.
!>
[out]INFO
!>          INFO is INTEGER
!>          = 0 :  successful exit
!>          > 0 :  If DLATMS returns an error code, the absolute value
!>                 of it is returned.
!>
Author
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.

Definition at line 164 of file dcklse.f.

167*
168* -- LAPACK test routine --
169* -- LAPACK is a software package provided by Univ. of Tennessee, --
170* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
171*
172* .. Scalar Arguments ..
173 INTEGER INFO, NIN, NMATS, NMAX, NN, NOUT
174 DOUBLE PRECISION THRESH
175* ..
176* .. Array Arguments ..
177 INTEGER ISEED( 4 ), MVAL( * ), NVAL( * ), PVAL( * )
178 DOUBLE PRECISION A( * ), AF( * ), B( * ), BF( * ), RWORK( * ),
179 $ WORK( * ), X( * )
180* ..
181*
182* =====================================================================
183*
184* .. Parameters ..
185 INTEGER NTESTS
186 parameter( ntests = 7 )
187 INTEGER NTYPES
188 parameter( ntypes = 8 )
189* ..
190* .. Local Scalars ..
191 LOGICAL FIRSTT
192 CHARACTER DISTA, DISTB, TYPE
193 CHARACTER*3 PATH
194 INTEGER I, IINFO, IK, IMAT, KLA, KLB, KUA, KUB, LDA,
195 $ LDB, LWORK, M, MODEA, MODEB, N, NFAIL, NRUN,
196 $ NT, P
197 DOUBLE PRECISION ANORM, BNORM, CNDNMA, CNDNMB
198* ..
199* .. Local Arrays ..
200 LOGICAL DOTYPE( NTYPES )
201 DOUBLE PRECISION RESULT( NTESTS )
202* ..
203* .. External Subroutines ..
204 EXTERNAL alahdg, alareq, alasum, dlarhs, dlatb9, dlatms,
205 $ dlsets
206* ..
207* .. Intrinsic Functions ..
208 INTRINSIC abs, max
209* ..
210* .. Executable Statements ..
211*
212* Initialize constants and the random number seed.
213*
214 path( 1: 3 ) = 'LSE'
215 info = 0
216 nrun = 0
217 nfail = 0
218 firstt = .true.
219 CALL alareq( path, nmats, dotype, ntypes, nin, nout )
220 lda = nmax
221 ldb = nmax
222 lwork = nmax*nmax
223*
224* Check for valid input values.
225*
226 DO 10 ik = 1, nn
227 m = mval( ik )
228 p = pval( ik )
229 n = nval( ik )
230 IF( p.GT.n .OR. n.GT.m+p ) THEN
231 IF( firstt ) THEN
232 WRITE( nout, fmt = * )
233 firstt = .false.
234 END IF
235 WRITE( nout, fmt = 9997 )m, p, n
236 END IF
237 10 CONTINUE
238 firstt = .true.
239*
240* Do for each value of M in MVAL.
241*
242 DO 40 ik = 1, nn
243 m = mval( ik )
244 p = pval( ik )
245 n = nval( ik )
246 IF( p.GT.n .OR. n.GT.m+p )
247 $ GO TO 40
248*
249 DO 30 imat = 1, ntypes
250*
251* Do the tests only if DOTYPE( IMAT ) is true.
252*
253 IF( .NOT.dotype( imat ) )
254 $ GO TO 30
255*
256* Set up parameters with DLATB9 and generate test
257* matrices A and B with DLATMS.
258*
259 CALL dlatb9( path, imat, m, p, n, TYPE, KLA, KUA, KLB, KUB,
260 $ ANORM, BNORM, MODEA, MODEB, CNDNMA, CNDNMB,
261 $ DISTA, DISTB )
262*
263 CALL dlatms( m, n, dista, iseed, TYPE, RWORK, MODEA, CNDNMA,
264 $ ANORM, KLA, KUA, 'No packing', A, LDA, WORK,
265 $ IINFO )
266 IF( iinfo.NE.0 ) THEN
267 WRITE( nout, fmt = 9999 )iinfo
268 info = abs( iinfo )
269 GO TO 30
270 END IF
271*
272 CALL dlatms( p, n, distb, iseed, TYPE, RWORK, MODEB, CNDNMB,
273 $ BNORM, KLB, KUB, 'No packing', B, LDB, WORK,
274 $ IINFO )
275 IF( iinfo.NE.0 ) THEN
276 WRITE( nout, fmt = 9999 )iinfo
277 info = abs( iinfo )
278 GO TO 30
279 END IF
280*
281* Generate the right-hand sides C and D for the LSE.
282*
283 CALL dlarhs( 'DGE', 'New solution', 'Upper', 'N', m, n,
284 $ max( m-1, 0 ), max( n-1, 0 ), 1, a, lda,
285 $ x( 4*nmax+1 ), max( n, 1 ), x, max( m, 1 ),
286 $ iseed, iinfo )
287*
288 CALL dlarhs( 'DGE', 'Computed', 'Upper', 'N', p, n,
289 $ max( p-1, 0 ), max( n-1, 0 ), 1, b, ldb,
290 $ x( 4*nmax+1 ), max( n, 1 ), x( 2*nmax+1 ),
291 $ max( p, 1 ), iseed, iinfo )
292*
293 nt = 2
294*
295 CALL dlsets( m, p, n, a, af, lda, b, bf, ldb, x,
296 $ x( nmax+1 ), x( 2*nmax+1 ), x( 3*nmax+1 ),
297 $ x( 4*nmax+1 ), work, lwork, rwork,
298 $ result( 1 ) )
299*
300* Print information about the tests that did not
301* pass the threshold.
302*
303 DO 20 i = 1, nt
304 IF( result( i ).GE.thresh ) THEN
305 IF( nfail.EQ.0 .AND. firstt ) THEN
306 firstt = .false.
307 CALL alahdg( nout, path )
308 END IF
309 WRITE( nout, fmt = 9998 )m, p, n, imat, i,
310 $ result( i )
311 nfail = nfail + 1
312 END IF
313 20 CONTINUE
314 nrun = nrun + nt
315*
316 30 CONTINUE
317 40 CONTINUE
318*
319* Print a summary of the results.
320*
321 CALL alasum( path, nout, nfail, nrun, 0 )
322*
323 9999 FORMAT( ' DLATMS in DCKLSE INFO = ', i5 )
324 9998 FORMAT( ' M=', i4, ' P=', i4, ', N=', i4, ', type ', i2,
325 $ ', test ', i2, ', ratio=', g13.6 )
326 9997 FORMAT( ' *** Invalid input for LSE: M = ', i6, ', P = ', i6,
327 $ ', N = ', i6, ';', / ' must satisfy P <= N <= P+M ',
328 $ '(this set of values will be skipped)' )
329 RETURN
330*
331* End of DCKLSE
332*
alareq
subroutine alareq(path, nmats, dotype, ntypes, nin, nout)
ALAREQ
Definition alareq.f:90
alasum
subroutine alasum(type, nout, nfail, nrun, nerrs)
ALASUM
Definition alasum.f:73
dlarhs
subroutine dlarhs(path, xtype, uplo, trans, m, n, kl, ku, nrhs, a, lda, x, ldx, b, ldb, iseed, info)
DLARHS
Definition dlarhs.f:205
alahdg
subroutine alahdg(iounit, path)
ALAHDG
Definition alahdg.f:62
dlatb9
subroutine dlatb9(path, imat, m, p, n, type, kla, kua, klb, kub, anorm, bnorm, modea, modeb, cndnma, cndnmb, dista, distb)
DLATB9
Definition dlatb9.f:170
dlatms
subroutine dlatms(m, n, dist, iseed, sym, d, mode, cond, dmax, kl, ku, pack, a, lda, work, info)
DLATMS
Definition dlatms.f:321
dlsets
subroutine dlsets(m, p, n, a, af, lda, b, bf, ldb, c, cf, d, df, x, work, lwork, rwork, result)
DLSETS
Definition dlsets.f:151
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