LAPACK  3.9.1
LAPACK: Linear Algebra PACKage

◆ zckgsv()

subroutine zckgsv ( integer  NM,
integer, dimension( * )  MVAL,
integer, dimension( * )  PVAL,
integer, dimension( * )  NVAL,
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( * )  U,
complex*16, dimension( * )  V,
complex*16, dimension( * )  Q,
double precision, dimension( * )  ALPHA,
double precision, dimension( * )  BETA,
complex*16, dimension( * )  R,
integer, dimension( * )  IWORK,
complex*16, dimension( * )  WORK,
double precision, dimension( * )  RWORK,
integer  NIN,
integer  NOUT,
integer  INFO 
)

ZCKGSV

Purpose:
 ZCKGSV tests ZGGSVD:
        the GSVD for M-by-N matrix A and P-by-N matrix B.
Parameters
[in]NM
          NM is INTEGER
          The number of values of M contained in the vector MVAL.
[in]MVAL
          MVAL is INTEGER array, dimension (NM)
          The values of the matrix row dimension M.
[in]PVAL
          PVAL is INTEGER array, dimension (NP)
          The values of the matrix row dimension P.
[in]NVAL
          NVAL is INTEGER array, dimension (NN)
          The values of the matrix column 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 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]U
          U is COMPLEX*16 array, dimension (NMAX*NMAX)
[out]V
          V is COMPLEX*16 array, dimension (NMAX*NMAX)
[out]Q
          Q is COMPLEX*16 array, dimension (NMAX*NMAX)
[out]ALPHA
          ALPHA is DOUBLE PRECISION array, dimension (NMAX)
[out]BETA
          BETA is DOUBLE PRECISION array, dimension (NMAX)
[out]R
          R is COMPLEX*16 array, dimension (NMAX*NMAX)
[out]IWORK
          IWORK is INTEGER array, dimension (NMAX)
[out]WORK
          WORK is COMPLEX*16 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 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 195 of file zckgsv.f.

198 *
199 * -- LAPACK test routine --
200 * -- LAPACK is a software package provided by Univ. of Tennessee, --
201 * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
202 *
203 * .. Scalar Arguments ..
204  INTEGER INFO, NIN, NM, NMATS, NMAX, NOUT
205  DOUBLE PRECISION THRESH
206 * ..
207 * .. Array Arguments ..
208  INTEGER ISEED( 4 ), IWORK( * ), MVAL( * ), NVAL( * ),
209  $ PVAL( * )
210  DOUBLE PRECISION ALPHA( * ), BETA( * ), RWORK( * )
211  COMPLEX*16 A( * ), AF( * ), B( * ), BF( * ), Q( * ),
212  $ R( * ), U( * ), V( * ), WORK( * )
213 * ..
214 *
215 * =====================================================================
216 *
217 * .. Parameters ..
218  INTEGER NTESTS
219  parameter( ntests = 12 )
220  INTEGER NTYPES
221  parameter( ntypes = 8 )
222 * ..
223 * .. Local Scalars ..
224  LOGICAL FIRSTT
225  CHARACTER DISTA, DISTB, TYPE
226  CHARACTER*3 PATH
227  INTEGER I, IINFO, IM, IMAT, KLA, KLB, KUA, KUB, LDA,
228  $ LDB, LDQ, LDR, LDU, LDV, LWORK, M, MODEA,
229  $ MODEB, N, NFAIL, NRUN, NT, P
230  DOUBLE PRECISION ANORM, BNORM, CNDNMA, CNDNMB
231 * ..
232 * .. Local Arrays ..
233  LOGICAL DOTYPE( NTYPES )
234  DOUBLE PRECISION RESULT( NTESTS )
235 * ..
236 * .. External Subroutines ..
237  EXTERNAL alahdg, alareq, alasum, dlatb9, zgsvts3, zlatms
238 * ..
239 * .. Intrinsic Functions ..
240  INTRINSIC abs
241 * ..
242 * .. Executable Statements ..
243 *
244 * Initialize constants and the random number seed.
245 *
246  path( 1: 3 ) = 'GSV'
247  info = 0
248  nrun = 0
249  nfail = 0
250  firstt = .true.
251  CALL alareq( path, nmats, dotype, ntypes, nin, nout )
252  lda = nmax
253  ldb = nmax
254  ldu = nmax
255  ldv = nmax
256  ldq = nmax
257  ldr = nmax
258  lwork = nmax*nmax
259 *
260 * Do for each value of M in MVAL.
261 *
262  DO 30 im = 1, nm
263  m = mval( im )
264  p = pval( im )
265  n = nval( im )
266 *
267  DO 20 imat = 1, ntypes
268 *
269 * Do the tests only if DOTYPE( IMAT ) is true.
270 *
271  IF( .NOT.dotype( imat ) )
272  $ GO TO 20
273 *
274 * Set up parameters with DLATB9 and generate test
275 * matrices A and B with ZLATMS.
276 *
277  CALL dlatb9( path, imat, m, p, n, TYPE, KLA, KUA, KLB, KUB,
278  $ ANORM, BNORM, MODEA, MODEB, CNDNMA, CNDNMB,
279  $ DISTA, DISTB )
280 *
281 * Generate M by N matrix A
282 *
283  CALL zlatms( m, n, dista, iseed, TYPE, RWORK, MODEA, CNDNMA,
284  $ ANORM, KLA, KUA, 'No packing', A, LDA, WORK,
285  $ IINFO )
286  IF( iinfo.NE.0 ) THEN
287  WRITE( nout, fmt = 9999 )iinfo
288  info = abs( iinfo )
289  GO TO 20
290  END IF
291 *
292 * Generate P by N matrix B
293 *
294  CALL zlatms( p, n, distb, iseed, TYPE, RWORK, MODEB, CNDNMB,
295  $ BNORM, KLB, KUB, 'No packing', B, LDB, WORK,
296  $ IINFO )
297  IF( iinfo.NE.0 ) THEN
298  WRITE( nout, fmt = 9999 )iinfo
299  info = abs( iinfo )
300  GO TO 20
301  END IF
302 *
303  nt = 6
304 *
305  CALL zgsvts3( m, p, n, a, af, lda, b, bf, ldb, u, ldu, v,
306  $ ldv, q, ldq, alpha, beta, r, ldr, iwork, work,
307  $ lwork, rwork, result )
308 *
309 * Print information about the tests that did not
310 * pass the threshold.
311 *
312  DO 10 i = 1, nt
313  IF( result( i ).GE.thresh ) THEN
314  IF( nfail.EQ.0 .AND. firstt ) THEN
315  firstt = .false.
316  CALL alahdg( nout, path )
317  END IF
318  WRITE( nout, fmt = 9998 )m, p, n, imat, i,
319  $ result( i )
320  nfail = nfail + 1
321  END IF
322  10 CONTINUE
323  nrun = nrun + nt
324 *
325  20 CONTINUE
326  30 CONTINUE
327 *
328 * Print a summary of the results.
329 *
330  CALL alasum( path, nout, nfail, nrun, 0 )
331 *
332  9999 FORMAT( ' ZLATMS in ZCKGSV INFO = ', i5 )
333  9998 FORMAT( ' M=', i4, ' P=', i4, ', N=', i4, ', type ', i2,
334  $ ', test ', i2, ', ratio=', g13.6 )
335  RETURN
336 *
337 * End of ZCKGSV
338 *
alareq
subroutine alareq(PATH, NMATS, DOTYPE, NTYPES, NIN, NOUT)
ALAREQ
Definition: alareq.f:90
alahdg
subroutine alahdg(IOUNIT, PATH)
ALAHDG
Definition: alahdg.f:62
alasum
subroutine alasum(TYPE, NOUT, NFAIL, NRUN, NERRS)
ALASUM
Definition: alasum.f:73
zgsvts3
subroutine zgsvts3(M, P, N, A, AF, LDA, B, BF, LDB, U, LDU, V, LDV, Q, LDQ, ALPHA, BETA, R, LDR, IWORK, WORK, LWORK, RWORK, RESULT)
ZGSVTS3
Definition: zgsvts3.f:209
zlatms
subroutine zlatms(M, N, DIST, ISEED, SYM, D, MODE, COND, DMAX, KL, KU, PACK, A, LDA, WORK, INFO)
ZLATMS
Definition: zlatms.f:332
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
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