LAPACK  3.10.0
LAPACK: Linear Algebra PACKage

◆ sckgsv()

subroutine sckgsv ( integer  NM,
integer, dimension( * )  MVAL,
integer, dimension( * )  PVAL,
integer, dimension( * )  NVAL,
integer  NMATS,
integer, dimension( 4 )  ISEED,
real  THRESH,
integer  NMAX,
real, dimension( * )  A,
real, dimension( * )  AF,
real, dimension( * )  B,
real, dimension( * )  BF,
real, dimension( * )  U,
real, dimension( * )  V,
real, dimension( * )  Q,
real, dimension( * )  ALPHA,
real, dimension( * )  BETA,
real, dimension( * )  R,
integer, dimension( * )  IWORK,
real, dimension( * )  WORK,
real, dimension( * )  RWORK,
integer  NIN,
integer  NOUT,
integer  INFO 
)

SCKGSV

Purpose:
 SCKGSV tests SGGSVD:
        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 REAL
          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 REAL array, dimension (NMAX*NMAX)
[out]AF
          AF is REAL array, dimension (NMAX*NMAX)
[out]B
          B is REAL array, dimension (NMAX*NMAX)
[out]BF
          BF is REAL array, dimension (NMAX*NMAX)
[out]U
          U is REAL array, dimension (NMAX*NMAX)
[out]V
          V is REAL array, dimension (NMAX*NMAX)
[out]Q
          Q is REAL array, dimension (NMAX*NMAX)
[out]ALPHA
          ALPHA is REAL array, dimension (NMAX)
[out]BETA
          BETA is REAL array, dimension (NMAX)
[out]R
          R is REAL array, dimension (NMAX*NMAX)
[out]IWORK
          IWORK is INTEGER array, dimension (NMAX)
[out]WORK
          WORK is REAL array, dimension (NMAX*NMAX)
[out]RWORK
          RWORK is REAL 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 SLATMS 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 sckgsv.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  REAL THRESH
206 * ..
207 * .. Array Arguments ..
208  INTEGER ISEED( 4 ), IWORK( * ), MVAL( * ), NVAL( * ),
209  $ PVAL( * )
210  REAL A( * ), AF( * ), ALPHA( * ), B( * ), BETA( * ),
211  $ BF( * ), Q( * ), R( * ), RWORK( * ), U( * ),
212  $ 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  REAL ANORM, BNORM, CNDNMA, CNDNMB
231 * ..
232 * .. Local Arrays ..
233  LOGICAL DOTYPE( NTYPES )
234  REAL RESULT( NTESTS )
235 * ..
236 * .. External Subroutines ..
237  EXTERNAL alahdg, alareq, alasum, sgsvts3, slatb9, slatms
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 SLATB9 and generate test
275 * matrices A and B with SLATMS.
276 *
277  CALL slatb9( 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 slatms( 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  CALL slatms( p, n, distb, iseed, TYPE, RWORK, MODEB, CNDNMB,
293  $ BNORM, KLB, KUB, 'No packing', B, LDB, WORK,
294  $ IINFO )
295  IF( iinfo.NE.0 ) THEN
296  WRITE( nout, fmt = 9999 )iinfo
297  info = abs( iinfo )
298  GO TO 20
299  END IF
300 *
301  nt = 6
302 *
303  CALL sgsvts3( m, p, n, a, af, lda, b, bf, ldb, u, ldu, v,
304  $ ldv, q, ldq, alpha, beta, r, ldr, iwork, work,
305  $ lwork, rwork, result )
306 *
307 * Print information about the tests that did not
308 * pass the threshold.
309 *
310  DO 10 i = 1, nt
311  IF( result( i ).GE.thresh ) THEN
312  IF( nfail.EQ.0 .AND. firstt ) THEN
313  firstt = .false.
314  CALL alahdg( nout, path )
315  END IF
316  WRITE( nout, fmt = 9998 )m, p, n, imat, i,
317  $ result( i )
318  nfail = nfail + 1
319  END IF
320  10 CONTINUE
321  nrun = nrun + nt
322  20 CONTINUE
323  30 CONTINUE
324 *
325 * Print a summary of the results.
326 *
327  CALL alasum( path, nout, nfail, nrun, 0 )
328 *
329  9999 FORMAT( ' SLATMS in SCKGSV INFO = ', i5 )
330  9998 FORMAT( ' M=', i4, ' P=', i4, ', N=', i4, ', type ', i2,
331  $ ', test ', i2, ', ratio=', g13.6 )
332  RETURN
333 *
334 * End of SCKGSV
335 *
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 slatms(M, N, DIST, ISEED, SYM, D, MODE, COND, DMAX, KL, KU, PACK, A, LDA, WORK, INFO)
SLATMS
Definition: slatms.f:321
subroutine sgsvts3(M, P, N, A, AF, LDA, B, BF, LDB, U, LDU, V, LDV, Q, LDQ, ALPHA, BETA, R, LDR, IWORK, WORK, LWORK, RWORK, RESULT)
SGSVTS3
Definition: sgsvts3.f:210
subroutine slatb9(PATH, IMAT, M, P, N, TYPE, KLA, KUA, KLB, KUB, ANORM, BNORM, MODEA, MODEB, CNDNMA, CNDNMB, DISTA, DISTB)
SLATB9
Definition: slatb9.f:170
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