LAPACK  3.10.0
LAPACK: Linear Algebra PACKage

◆ sckcsd()

subroutine sckcsd ( integer  NM,
integer, dimension( * )  MVAL,
integer, dimension( * )  PVAL,
integer, dimension( * )  QVAL,
integer  NMATS,
integer, dimension( 4 )  ISEED,
real  THRESH,
integer  MMAX,
real, dimension( * )  X,
real, dimension( * )  XF,
real, dimension( * )  U1,
real, dimension( * )  U2,
real, dimension( * )  V1T,
real, dimension( * )  V2T,
real, dimension( * )  THETA,
integer, dimension( * )  IWORK,
real, dimension( * )  WORK,
real, dimension( * )  RWORK,
integer  NIN,
integer  NOUT,
integer  INFO 
)

SCKCSD

Purpose:
 SCKCSD tests SORCSD:
        the CSD for an M-by-M orthogonal matrix X partitioned as
        [ X11 X12; X21 X22 ]. X11 is P-by-Q.
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 (NM)
          The values of the matrix row dimension P.
[in]QVAL
          QVAL is INTEGER array, dimension (NM)
          The values of the matrix column dimension Q.
[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]MMAX
          MMAX is INTEGER
          The maximum value permitted for M, used in dimensioning the
          work arrays.
[out]X
          X is REAL array, dimension (MMAX*MMAX)
[out]XF
          XF is REAL array, dimension (MMAX*MMAX)
[out]U1
          U1 is REAL array, dimension (MMAX*MMAX)
[out]U2
          U2 is REAL array, dimension (MMAX*MMAX)
[out]V1T
          V1T is REAL array, dimension (MMAX*MMAX)
[out]V2T
          V2T is REAL array, dimension (MMAX*MMAX)
[out]THETA
          THETA is REAL array, dimension (MMAX)
[out]IWORK
          IWORK is INTEGER array, dimension (MMAX)
[out]WORK
          WORK is REAL array
[out]RWORK
          RWORK is REAL array
[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 SLAROR 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 181 of file sckcsd.f.

184 *
185 * -- LAPACK test routine --
186 * -- LAPACK is a software package provided by Univ. of Tennessee, --
187 * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
188 *
189 * .. Scalar Arguments ..
190  INTEGER INFO, NIN, NM, NMATS, MMAX, NOUT
191  REAL THRESH
192 * ..
193 * .. Array Arguments ..
194  INTEGER ISEED( 4 ), IWORK( * ), MVAL( * ), PVAL( * ),
195  $ QVAL( * )
196  REAL RWORK( * ), THETA( * )
197  REAL U1( * ), U2( * ), V1T( * ), V2T( * ),
198  $ WORK( * ), X( * ), XF( * )
199 * ..
200 *
201 * =====================================================================
202 *
203 * .. Parameters ..
204  INTEGER NTESTS
205  parameter( ntests = 15 )
206  INTEGER NTYPES
207  parameter( ntypes = 4 )
208  REAL GAPDIGIT, ONE, ORTH, TEN, ZERO
209  parameter( gapdigit = 10.0e0, one = 1.0e0,
210  $ orth = 1.0e-4, ten = 10.0e0, zero = 0.0e0 )
211  REAL PIOVER2
212  parameter( piover2 = 1.57079632679489661923132169163975144210e0 )
213 * ..
214 * .. Local Scalars ..
215  LOGICAL FIRSTT
216  CHARACTER*3 PATH
217  INTEGER I, IINFO, IM, IMAT, J, LDU1, LDU2, LDV1T,
218  $ LDV2T, LDX, LWORK, M, NFAIL, NRUN, NT, P, Q, R
219 * ..
220 * .. Local Arrays ..
221  LOGICAL DOTYPE( NTYPES )
222  REAL RESULT( NTESTS )
223 * ..
224 * .. External Subroutines ..
225  EXTERNAL alahdg, alareq, alasum, scsdts, slacsg, slaror,
226  $ slaset, srot
227 * ..
228 * .. Intrinsic Functions ..
229  INTRINSIC abs, min
230 * ..
231 * .. External Functions ..
232  REAL SLARAN, SLARND
233  EXTERNAL slaran, slarnd
234 * ..
235 * .. Executable Statements ..
236 *
237 * Initialize constants and the random number seed.
238 *
239  path( 1: 3 ) = 'CSD'
240  info = 0
241  nrun = 0
242  nfail = 0
243  firstt = .true.
244  CALL alareq( path, nmats, dotype, ntypes, nin, nout )
245  ldx = mmax
246  ldu1 = mmax
247  ldu2 = mmax
248  ldv1t = mmax
249  ldv2t = mmax
250  lwork = mmax*mmax
251 *
252 * Do for each value of M in MVAL.
253 *
254  DO 30 im = 1, nm
255  m = mval( im )
256  p = pval( im )
257  q = qval( im )
258 *
259  DO 20 imat = 1, ntypes
260 *
261 * Do the tests only if DOTYPE( IMAT ) is true.
262 *
263  IF( .NOT.dotype( imat ) )
264  $ GO TO 20
265 *
266 * Generate X
267 *
268  IF( imat.EQ.1 ) THEN
269  CALL slaror( 'L', 'I', m, m, x, ldx, iseed, work, iinfo )
270  IF( m .NE. 0 .AND. iinfo .NE. 0 ) THEN
271  WRITE( nout, fmt = 9999 ) m, iinfo
272  info = abs( iinfo )
273  GO TO 20
274  END IF
275  ELSE IF( imat.EQ.2 ) THEN
276  r = min( p, m-p, q, m-q )
277  DO i = 1, r
278  theta(i) = piover2 * slarnd( 1, iseed )
279  END DO
280  CALL slacsg( m, p, q, theta, iseed, x, ldx, work )
281  DO i = 1, m
282  DO j = 1, m
283  x(i+(j-1)*ldx) = x(i+(j-1)*ldx) +
284  $ orth*slarnd(2,iseed)
285  END DO
286  END DO
287  ELSE IF( imat.EQ.3 ) THEN
288  r = min( p, m-p, q, m-q )
289  DO i = 1, r+1
290  theta(i) = ten**(-slarnd(1,iseed)*gapdigit)
291  END DO
292  DO i = 2, r+1
293  theta(i) = theta(i-1) + theta(i)
294  END DO
295  DO i = 1, r
296  theta(i) = piover2 * theta(i) / theta(r+1)
297  END DO
298  CALL slacsg( m, p, q, theta, iseed, x, ldx, work )
299  ELSE
300  CALL slaset( 'F', m, m, zero, one, x, ldx )
301  DO i = 1, m
302  j = int( slaran( iseed ) * m ) + 1
303  IF( j .NE. i ) THEN
304  CALL srot( m, x(1+(i-1)*ldx), 1, x(1+(j-1)*ldx), 1,
305  $ zero, one )
306  END IF
307  END DO
308  END IF
309 *
310  nt = 15
311 *
312  CALL scsdts( m, p, q, x, xf, ldx, u1, ldu1, u2, ldu2, v1t,
313  $ ldv1t, v2t, ldv2t, theta, iwork, work, lwork,
314  $ rwork, result )
315 *
316 * Print information about the tests that did not
317 * pass the threshold.
318 *
319  DO 10 i = 1, nt
320  IF( result( i ).GE.thresh ) THEN
321  IF( nfail.EQ.0 .AND. firstt ) THEN
322  firstt = .false.
323  CALL alahdg( nout, path )
324  END IF
325  WRITE( nout, fmt = 9998 )m, p, q, imat, i,
326  $ result( i )
327  nfail = nfail + 1
328  END IF
329  10 CONTINUE
330  nrun = nrun + nt
331  20 CONTINUE
332  30 CONTINUE
333 *
334 * Print a summary of the results.
335 *
336  CALL alasum( path, nout, nfail, nrun, 0 )
337 *
338  9999 FORMAT( ' SLAROR in SCKCSD: M = ', i5, ', INFO = ', i15 )
339  9998 FORMAT( ' M=', i4, ' P=', i4, ', Q=', i4, ', type ', i2,
340  $ ', test ', i2, ', ratio=', g13.6 )
341  RETURN
342 *
343 * End of SCKCSD
344 *
subroutine slaset(UPLO, M, N, ALPHA, BETA, A, LDA)
SLASET initializes the off-diagonal elements and the diagonal elements of a matrix to given values.
Definition: slaset.f:110
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 slaror(SIDE, INIT, M, N, A, LDA, ISEED, X, INFO)
SLAROR
Definition: slaror.f:146
real function slaran(ISEED)
SLARAN
Definition: slaran.f:67
real function slarnd(IDIST, ISEED)
SLARND
Definition: slarnd.f:73
subroutine srot(N, SX, INCX, SY, INCY, C, S)
SROT
Definition: srot.f:92
subroutine scsdts(M, P, Q, X, XF, LDX, U1, LDU1, U2, LDU2, V1T, LDV1T, V2T, LDV2T, THETA, IWORK, WORK, LWORK, RWORK, RESULT)
SCSDTS
Definition: scsdts.f:229
subroutine slacsg(M, P, Q, THETA, ISEED, X, LDX, WORK)
Definition: sckcsd.f:350
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