LAPACK 3.12.0
LAPACK: Linear Algebra PACKage
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zckglm.f
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1*> \brief \b ZCKGLM
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 ZCKGLM( NN, NVAL, MVAL, PVAL, NMATS, ISEED, THRESH,
12* NMAX, A, AF, B, BF, X, WORK, RWORK, NIN, NOUT,
13* INFO )
14*
15* .. Scalar Arguments ..
16* INTEGER INFO, NIN, NMATS, NMAX, NN, NOUT
17* DOUBLE PRECISION THRESH
18* ..
19* .. Array Arguments ..
20* INTEGER ISEED( 4 ), MVAL( * ), NVAL( * ), PVAL( * )
21* DOUBLE PRECISION RWORK( * )
22* COMPLEX*16 A( * ), AF( * ), B( * ), BF( * ), WORK( * ),
23* $ X( * )
24* ..
25*
26*
27*> \par Purpose:
28* =============
29*>
30*> \verbatim
31*>
32*> ZCKGLM tests ZGGGLM - subroutine for solving generalized linear
33*> model problem.
34*> \endverbatim
35*
36* Arguments:
37* ==========
38*
39*> \param[in] NN
40*> \verbatim
41*> NN is INTEGER
42*> The number of values of N, M and P contained in the vectors
43*> NVAL, MVAL and PVAL.
44*> \endverbatim
45*>
46*> \param[in] NVAL
47*> \verbatim
48*> NVAL is INTEGER array, dimension (NN)
49*> The values of the matrix row dimension N.
50*> \endverbatim
51*>
52*> \param[in] MVAL
53*> \verbatim
54*> MVAL is INTEGER array, dimension (NN)
55*> The values of the matrix column dimension M.
56*> \endverbatim
57*>
58*> \param[in] PVAL
59*> \verbatim
60*> PVAL is INTEGER array, dimension (NN)
61*> The values of the matrix column dimension P.
62*> \endverbatim
63*>
64*> \param[in] NMATS
65*> \verbatim
66*> NMATS is INTEGER
67*> The number of matrix types to be tested for each combination
68*> of matrix dimensions. If NMATS >= NTYPES (the maximum
69*> number of matrix types), then all the different types are
70*> generated for testing. If NMATS < NTYPES, another input line
71*> is read to get the numbers of the matrix types to be used.
72*> \endverbatim
73*>
74*> \param[in,out] ISEED
75*> \verbatim
76*> ISEED is INTEGER array, dimension (4)
77*> On entry, the seed of the random number generator. The array
78*> elements should be between 0 and 4095, otherwise they will be
79*> reduced mod 4096, and ISEED(4) must be odd.
80*> On exit, the next seed in the random number sequence after
81*> all the test matrices have been generated.
82*> \endverbatim
83*>
84*> \param[in] THRESH
85*> \verbatim
86*> THRESH is DOUBLE PRECISION
87*> The threshold value for the test ratios. A result is
88*> included in the output file if RESID >= THRESH. To have
89*> every test ratio printed, use THRESH = 0.
90*> \endverbatim
91*>
92*> \param[in] NMAX
93*> \verbatim
94*> NMAX is INTEGER
95*> The maximum value permitted for M or N, used in dimensioning
96*> the work arrays.
97*> \endverbatim
98*>
99*> \param[out] A
100*> \verbatim
101*> A is COMPLEX*16 array, dimension (NMAX*NMAX)
102*> \endverbatim
103*>
104*> \param[out] AF
105*> \verbatim
106*> AF is COMPLEX*16 array, dimension (NMAX*NMAX)
107*> \endverbatim
108*>
109*> \param[out] B
110*> \verbatim
111*> B is COMPLEX*16 array, dimension (NMAX*NMAX)
112*> \endverbatim
113*>
114*> \param[out] BF
115*> \verbatim
116*> BF is COMPLEX*16 array, dimension (NMAX*NMAX)
117*> \endverbatim
118*>
119*> \param[out] X
120*> \verbatim
121*> X is COMPLEX*16 array, dimension (4*NMAX)
122*> \endverbatim
123*>
124*> \param[out] RWORK
125*> \verbatim
126*> RWORK is DOUBLE PRECISION array, dimension (NMAX)
127*> \endverbatim
128*>
129*> \param[out] WORK
130*> \verbatim
131*> WORK is COMPLEX*16 array, dimension (NMAX*NMAX)
132*> \endverbatim
133*>
134*> \param[in] NIN
135*> \verbatim
136*> NIN is INTEGER
137*> The unit number for input.
138*> \endverbatim
139*>
140*> \param[in] NOUT
141*> \verbatim
142*> NOUT is INTEGER
143*> The unit number for output.
144*> \endverbatim
145*>
146*> \param[out] INFO
147*> \verbatim
148*> INFO is INTEGER
149*> = 0 : successful exit
150*> > 0 : If ZLATMS returns an error code, the absolute value
151*> of it is returned.
152*> \endverbatim
153*
154* Authors:
155* ========
156*
157*> \author Univ. of Tennessee
158*> \author Univ. of California Berkeley
159*> \author Univ. of Colorado Denver
160*> \author NAG Ltd.
161*
162*> \ingroup complex16_eig
163*
164* =====================================================================
165 SUBROUTINE zckglm( NN, NVAL, MVAL, PVAL, NMATS, ISEED, THRESH,
166 $ NMAX, A, AF, B, BF, X, WORK, RWORK, NIN, NOUT,
167 $ INFO )
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*
322 END
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
zckglm
subroutine zckglm(nn, nval, mval, pval, nmats, iseed, thresh, nmax, a, af, b, bf, x, work, rwork, nin, nout, info)
ZCKGLM
Definition zckglm.f:168
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
zlatms
subroutine zlatms(m, n, dist, iseed, sym, d, mode, cond, dmax, kl, ku, pack, a, lda, work, info)
ZLATMS
Definition zlatms.f:332