LAPACK 3.12.0
LAPACK: Linear Algebra PACKage
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◆ 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*
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
slaset
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
srot
subroutine srot(n, sx, incx, sy, incy, c, s)
SROT
Definition srot.f:92
slacsg
subroutine slacsg(m, p, q, theta, iseed, x, ldx, work)
Definition sckcsd.f:350
scsdts
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
slaran
real function slaran(iseed)
SLARAN
Definition slaran.f:67
slarnd
real function slarnd(idist, iseed)
SLARND
Definition slarnd.f:73
slaror
subroutine slaror(side, init, m, n, a, lda, iseed, x, info)
SLAROR
Definition slaror.f:146
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