LAPACK 3.12.1
LAPACK: Linear Algebra PACKage
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◆ zckglm()

subroutine zckglm ( integer nn,
integer, dimension( * ) nval,
integer, dimension( * ) mval,
integer, dimension( * ) pval,
integer nmats,
integer, dimension( 4 ) iseed,
double precision thresh,
integer nmax,
complex*16, dimension( * ) a,
complex*16, dimension( * ) af,
complex*16, dimension( * ) b,
complex*16, dimension( * ) bf,
complex*16, dimension( * ) x,
complex*16, dimension( * ) work,
double precision, dimension( * ) rwork,
integer nin,
integer nout,
integer info )

ZCKGLM

Purpose:
!>
!> ZCKGLM tests ZGGGLM - subroutine for solving generalized linear
!>                       model problem.
!>
Parameters
[in]NN
!>          NN is INTEGER
!>          The number of values of N, M and P contained in the vectors
!>          NVAL, MVAL and PVAL.
!>
[in]NVAL
!>          NVAL is INTEGER array, dimension (NN)
!>          The values of the matrix row dimension N.
!>
[in]MVAL
!>          MVAL is INTEGER array, dimension (NN)
!>          The values of the matrix column dimension M.
!>
[in]PVAL
!>          PVAL is INTEGER array, dimension (NN)
!>          The values of the matrix column dimension P.
!>
[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 RESID >= 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 COMPLEX*16 array, dimension (NMAX*NMAX)
!>
[out]AF
!>          AF is COMPLEX*16 array, dimension (NMAX*NMAX)
!>
[out]B
!>          B is COMPLEX*16 array, dimension (NMAX*NMAX)
!>
[out]BF
!>          BF is COMPLEX*16 array, dimension (NMAX*NMAX)
!>
[out]X
!>          X is COMPLEX*16 array, dimension (4*NMAX)
!>
[out]RWORK
!>          RWORK is DOUBLE PRECISION array, dimension (NMAX)
!>
[out]WORK
!>          WORK is COMPLEX*16 array, dimension (NMAX*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 ZLATMS 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 165 of file zckglm.f.

168*
169* -- LAPACK test routine --
170* -- LAPACK is a software package provided by Univ. of Tennessee, --
171* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
172*
173* .. Scalar Arguments ..
174 INTEGER INFO, NIN, NMATS, NMAX, NN, NOUT
175 DOUBLE PRECISION THRESH
176* ..
177* .. Array Arguments ..
178 INTEGER ISEED( 4 ), MVAL( * ), NVAL( * ), PVAL( * )
179 DOUBLE PRECISION RWORK( * )
180 COMPLEX*16 A( * ), AF( * ), B( * ), BF( * ), WORK( * ),
181 $ X( * )
182* ..
183*
184* =====================================================================
185*
186* .. Parameters ..
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, P
196 DOUBLE PRECISION ANORM, BNORM, CNDNMA, CNDNMB, RESID
197* ..
198* .. Local Arrays ..
199 LOGICAL DOTYPE( NTYPES )
200* ..
201* .. External Functions ..
202 COMPLEX*16 ZLARND
203 EXTERNAL zlarnd
204* ..
205* .. External Subroutines ..
206 EXTERNAL alahdg, alareq, alasum, dlatb9, zglmts, zlatms
207* ..
208* .. Intrinsic Functions ..
209 INTRINSIC abs
210* ..
211* .. Executable Statements ..
212*
213* Initialize constants.
214*
215 path( 1: 3 ) = 'GLM'
216 info = 0
217 nrun = 0
218 nfail = 0
219 firstt = .true.
220 CALL alareq( path, nmats, dotype, ntypes, nin, nout )
221 lda = nmax
222 ldb = nmax
223 lwork = nmax*nmax
224*
225* Check for valid input values.
226*
227 DO 10 ik = 1, nn
228 m = mval( ik )
229 p = pval( ik )
230 n = nval( ik )
231 IF( m.GT.n .OR. n.GT.m+p ) THEN
232 IF( firstt ) THEN
233 WRITE( nout, fmt = * )
234 firstt = .false.
235 END IF
236 WRITE( nout, fmt = 9997 )m, p, n
237 END IF
238 10 CONTINUE
239 firstt = .true.
240*
241* Do for each value of M in MVAL.
242*
243 DO 40 ik = 1, nn
244 m = mval( ik )
245 p = pval( ik )
246 n = nval( ik )
247 IF( m.GT.n .OR. n.GT.m+p )
248 $ GO TO 40
249*
250 DO 30 imat = 1, ntypes
251*
252* Do the tests only if DOTYPE( IMAT ) is true.
253*
254 IF( .NOT.dotype( imat ) )
255 $ GO TO 30
256*
257* Set up parameters with DLATB9 and generate test
258* matrices A and B with ZLATMS.
259*
260 CALL dlatb9( path, imat, m, p, n, TYPE, KLA, KUA, KLB, KUB,
261 $ ANORM, BNORM, MODEA, MODEB, CNDNMA, CNDNMB,
262 $ DISTA, DISTB )
263*
264 CALL zlatms( n, m, dista, iseed, TYPE, RWORK, MODEA, CNDNMA,
265 $ ANORM, KLA, KUA, 'No packing', A, LDA, WORK,
266 $ IINFO )
267 IF( iinfo.NE.0 ) THEN
268 WRITE( nout, fmt = 9999 )iinfo
269 info = abs( iinfo )
270 GO TO 30
271 END IF
272*
273 CALL zlatms( n, p, distb, iseed, TYPE, RWORK, MODEB, CNDNMB,
274 $ BNORM, KLB, KUB, 'No packing', B, LDB, WORK,
275 $ IINFO )
276 IF( iinfo.NE.0 ) THEN
277 WRITE( nout, fmt = 9999 )iinfo
278 info = abs( iinfo )
279 GO TO 30
280 END IF
281*
282* Generate random left hand side vector of GLM
283*
284 DO 20 i = 1, n
285 x( i ) = zlarnd( 2, iseed )
286 20 CONTINUE
287*
288 CALL zglmts( n, m, p, a, af, lda, b, bf, ldb, x,
289 $ x( nmax+1 ), x( 2*nmax+1 ), x( 3*nmax+1 ),
290 $ work, lwork, rwork, resid )
291*
292* Print information about the tests that did not
293* pass the threshold.
294*
295 IF( resid.GE.thresh ) THEN
296 IF( nfail.EQ.0 .AND. firstt ) THEN
297 firstt = .false.
298 CALL alahdg( nout, path )
299 END IF
300 WRITE( nout, fmt = 9998 )n, m, p, imat, 1, resid
301 nfail = nfail + 1
302 END IF
303 nrun = nrun + 1
304*
305 30 CONTINUE
306 40 CONTINUE
307*
308* Print a summary of the results.
309*
310 CALL alasum( path, nout, nfail, nrun, 0 )
311*
312 9999 FORMAT( ' ZLATMS in ZCKGLM INFO = ', i5 )
313 9998 FORMAT( ' N=', i4, ' M=', i4, ', P=', i4, ', type ', i2,
314 $ ', test ', i2, ', ratio=', g13.6 )
315 9997 FORMAT( ' *** Invalid input for GLM: M = ', i6, ', P = ', i6,
316 $ ', N = ', i6, ';', / ' must satisfy M <= N <= M+P ',
317 $ '(this set of values will be skipped)' )
318 RETURN
319*
320* End of ZCKGLM
321*
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
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
zglmts
subroutine zglmts(n, m, p, a, af, lda, b, bf, ldb, d, df, x, u, work, lwork, rwork, result)
ZGLMTS
Definition zglmts.f:146
zlarnd
complex *16 function zlarnd(idist, iseed)
ZLARND
Definition zlarnd.f:75
zlatms
subroutine zlatms(m, n, dist, iseed, sym, d, mode, cond, dmax, kl, ku, pack, a, lda, work, info)
ZLATMS
Definition zlatms.f:332
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