LAPACK  3.10.0
LAPACK: Linear Algebra PACKage
dckglm.f
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1 *> \brief \b DCKGLM
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 DCKGLM( NN, MVAL, PVAL, NVAL, 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 A( * ), AF( * ), B( * ), BF( * ), RWORK( * ),
22 * $ WORK( * ), X( * )
23 * ..
24 *
25 *
26 *> \par Purpose:
27 * =============
28 *>
29 *> \verbatim
30 *>
31 *> DCKGLM tests DGGGLM - subroutine for solving generalized linear
32 *> model problem.
33 *> \endverbatim
34 *
35 * Arguments:
36 * ==========
37 *
38 *> \param[in] NN
39 *> \verbatim
40 *> NN is INTEGER
41 *> The number of values of N, M and P contained in the vectors
42 *> NVAL, MVAL and PVAL.
43 *> \endverbatim
44 *>
45 *> \param[in] MVAL
46 *> \verbatim
47 *> MVAL is INTEGER array, dimension (NN)
48 *> The values of the matrix column dimension M.
49 *> \endverbatim
50 *>
51 *> \param[in] PVAL
52 *> \verbatim
53 *> PVAL is INTEGER array, dimension (NN)
54 *> The values of the matrix column dimension P.
55 *> \endverbatim
56 *>
57 *> \param[in] NVAL
58 *> \verbatim
59 *> NVAL is INTEGER array, dimension (NN)
60 *> The values of the matrix row dimension N.
61 *> \endverbatim
62 *>
63 *> \param[in] NMATS
64 *> \verbatim
65 *> NMATS is INTEGER
66 *> The number of matrix types to be tested for each combination
67 *> of matrix dimensions. If NMATS >= NTYPES (the maximum
68 *> number of matrix types), then all the different types are
69 *> generated for testing. If NMATS < NTYPES, another input line
70 *> is read to get the numbers of the matrix types to be used.
71 *> \endverbatim
72 *>
73 *> \param[in,out] ISEED
74 *> \verbatim
75 *> ISEED is INTEGER array, dimension (4)
76 *> On entry, the seed of the random number generator. The array
77 *> elements should be between 0 and 4095, otherwise they will be
78 *> reduced mod 4096, and ISEED(4) must be odd.
79 *> On exit, the next seed in the random number sequence after
80 *> all the test matrices have been generated.
81 *> \endverbatim
82 *>
83 *> \param[in] THRESH
84 *> \verbatim
85 *> THRESH is DOUBLE PRECISION
86 *> The threshold value for the test ratios. A result is
87 *> included in the output file if RESID >= THRESH. To have
88 *> every test ratio printed, use THRESH = 0.
89 *> \endverbatim
90 *>
91 *> \param[in] NMAX
92 *> \verbatim
93 *> NMAX is INTEGER
94 *> The maximum value permitted for M or N, used in dimensioning
95 *> the work arrays.
96 *> \endverbatim
97 *>
98 *> \param[out] A
99 *> \verbatim
100 *> A is DOUBLE PRECISION array, dimension (NMAX*NMAX)
101 *> \endverbatim
102 *>
103 *> \param[out] AF
104 *> \verbatim
105 *> AF is DOUBLE PRECISION array, dimension (NMAX*NMAX)
106 *> \endverbatim
107 *>
108 *> \param[out] B
109 *> \verbatim
110 *> B is DOUBLE PRECISION array, dimension (NMAX*NMAX)
111 *> \endverbatim
112 *>
113 *> \param[out] BF
114 *> \verbatim
115 *> BF is DOUBLE PRECISION array, dimension (NMAX*NMAX)
116 *> \endverbatim
117 *>
118 *> \param[out] X
119 *> \verbatim
120 *> X is DOUBLE PRECISION array, dimension (4*NMAX)
121 *> \endverbatim
122 *>
123 *> \param[out] RWORK
124 *> \verbatim
125 *> RWORK is DOUBLE PRECISION array, dimension (NMAX)
126 *> \endverbatim
127 *>
128 *> \param[out] WORK
129 *> \verbatim
130 *> WORK is DOUBLE PRECISION array, dimension (NMAX*NMAX)
131 *> \endverbatim
132 *>
133 *> \param[in] NIN
134 *> \verbatim
135 *> NIN is INTEGER
136 *> The unit number for input.
137 *> \endverbatim
138 *>
139 *> \param[in] NOUT
140 *> \verbatim
141 *> NOUT is INTEGER
142 *> The unit number for output.
143 *> \endverbatim
144 *>
145 *> \param[out] INFO
146 *> \verbatim
147 *> INFO is INTEGER
148 *> = 0 : successful exit
149 *> > 0 : If DLATMS returns an error code, the absolute value
150 *> of it is returned.
151 *> \endverbatim
152 *
153 * Authors:
154 * ========
155 *
156 *> \author Univ. of Tennessee
157 *> \author Univ. of California Berkeley
158 *> \author Univ. of Colorado Denver
159 *> \author NAG Ltd.
160 *
161 *> \ingroup double_eig
162 *
163 * =====================================================================
164  SUBROUTINE dckglm( NN, MVAL, PVAL, NVAL, NMATS, ISEED, THRESH,
165  $ NMAX, A, AF, B, BF, X, WORK, RWORK, NIN, NOUT,
166  $ INFO )
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 NTYPES
186  PARAMETER ( NTYPES = 8 )
187 * ..
188 * .. Local Scalars ..
189  LOGICAL FIRSTT
190  CHARACTER DISTA, DISTB, TYPE
191  CHARACTER*3 PATH
192  INTEGER I, IINFO, IK, IMAT, KLA, KLB, KUA, KUB, LDA,
193  $ ldb, lwork, m, modea, modeb, n, nfail, nrun, p
194  DOUBLE PRECISION ANORM, BNORM, CNDNMA, CNDNMB, RESID
195 * ..
196 * .. Local Arrays ..
197  LOGICAL DOTYPE( NTYPES )
198 * ..
199 * .. External Functions ..
200  DOUBLE PRECISION DLARND
201  EXTERNAL DLARND
202 * ..
203 * .. External Subroutines ..
204  EXTERNAL alahdg, alareq, alasum, dglmts, dlatb9, dlatms
205 * ..
206 * .. Intrinsic Functions ..
207  INTRINSIC abs
208 * ..
209 * .. Executable Statements ..
210 *
211 * Initialize constants.
212 *
213  path( 1: 3 ) = 'GLM'
214  info = 0
215  nrun = 0
216  nfail = 0
217  firstt = .true.
218  CALL alareq( path, nmats, dotype, ntypes, nin, nout )
219  lda = nmax
220  ldb = nmax
221  lwork = nmax*nmax
222 *
223 * Check for valid input values.
224 *
225  DO 10 ik = 1, nn
226  m = mval( ik )
227  p = pval( ik )
228  n = nval( ik )
229  IF( m.GT.n .OR. n.GT.m+p ) THEN
230  IF( firstt ) THEN
231  WRITE( nout, fmt = * )
232  firstt = .false.
233  END IF
234  WRITE( nout, fmt = 9997 )m, p, n
235  END IF
236  10 CONTINUE
237  firstt = .true.
238 *
239 * Do for each value of M in MVAL.
240 *
241  DO 40 ik = 1, nn
242  m = mval( ik )
243  p = pval( ik )
244  n = nval( ik )
245  IF( m.GT.n .OR. n.GT.m+p )
246  $ GO TO 40
247 *
248  DO 30 imat = 1, ntypes
249 *
250 * Do the tests only if DOTYPE( IMAT ) is true.
251 *
252  IF( .NOT.dotype( imat ) )
253  $ GO TO 30
254 *
255 * Set up parameters with DLATB9 and generate test
256 * matrices A and B with DLATMS.
257 *
258  CALL dlatb9( path, imat, m, p, n, TYPE, kla, kua, klb, kub,
259  $ anorm, bnorm, modea, modeb, cndnma, cndnmb,
260  $ dista, distb )
261 *
262  CALL dlatms( n, m, dista, iseed, TYPE, rwork, modea, cndnma,
263  $ anorm, kla, kua, 'No packing', a, lda, work,
264  $ iinfo )
265  IF( iinfo.NE.0 ) THEN
266  WRITE( nout, fmt = 9999 )iinfo
267  info = abs( iinfo )
268  GO TO 30
269  END IF
270 *
271  CALL dlatms( n, p, distb, iseed, TYPE, rwork, modeb, cndnmb,
272  $ bnorm, klb, kub, 'No packing', b, ldb, work,
273  $ iinfo )
274  IF( iinfo.NE.0 ) THEN
275  WRITE( nout, fmt = 9999 )iinfo
276  info = abs( iinfo )
277  GO TO 30
278  END IF
279 *
280 * Generate random left hand side vector of GLM
281 *
282  DO 20 i = 1, n
283  x( i ) = dlarnd( 2, iseed )
284  20 CONTINUE
285 *
286  CALL dglmts( n, m, p, a, af, lda, b, bf, ldb, x,
287  $ x( nmax+1 ), x( 2*nmax+1 ), x( 3*nmax+1 ),
288  $ work, lwork, rwork, resid )
289 *
290 * Print information about the tests that did not
291 * pass the threshold.
292 *
293  IF( resid.GE.thresh ) THEN
294  IF( nfail.EQ.0 .AND. firstt ) THEN
295  firstt = .false.
296  CALL alahdg( nout, path )
297  END IF
298  WRITE( nout, fmt = 9998 )n, m, p, imat, 1, resid
299  nfail = nfail + 1
300  END IF
301  nrun = nrun + 1
302 *
303  30 CONTINUE
304  40 CONTINUE
305 *
306 * Print a summary of the results.
307 *
308  CALL alasum( path, nout, nfail, nrun, 0 )
309 *
310  9999 FORMAT( ' DLATMS in DCKGLM INFO = ', i5 )
311  9998 FORMAT( ' N=', i4, ' M=', i4, ', P=', i4, ', type ', i2,
312  $ ', test ', i2, ', ratio=', g13.6 )
313  9997 FORMAT( ' *** Invalid input for GLM: M = ', i6, ', P = ', i6,
314  $ ', N = ', i6, ';', / ' must satisfy M <= N <= M+P ',
315  $ '(this set of values will be skipped)' )
316  RETURN
317 *
318 * End of DCKGLM
319 *
320  END
subroutine alareq(PATH, NMATS, DOTYPE, NTYPES, NIN, NOUT)
ALAREQ
Definition: alareq.f:90
subroutine alahdg(IOUNIT, PATH)
ALAHDG
Definition: alahdg.f:62
subroutine alasum(TYPE, NOUT, NFAIL, NRUN, NERRS)
ALASUM
Definition: alasum.f:73
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
subroutine dglmts(N, M, P, A, AF, LDA, B, BF, LDB, D, DF, X, U, WORK, LWORK, RWORK, RESULT)
DGLMTS
Definition: dglmts.f:146
subroutine dckglm(NN, MVAL, PVAL, NVAL, NMATS, ISEED, THRESH, NMAX, A, AF, B, BF, X, WORK, RWORK, NIN, NOUT, INFO)
DCKGLM
Definition: dckglm.f:167
subroutine dlatms(M, N, DIST, ISEED, SYM, D, MODE, COND, DMAX, KL, KU, PACK, A, LDA, WORK, INFO)
DLATMS
Definition: dlatms.f:321