LAPACK  3.10.0
LAPACK: Linear Algebra PACKage

◆ zckcsd()

subroutine zckcsd ( integer  NM,
integer, dimension( * )  MVAL,
integer, dimension( * )  PVAL,
integer, dimension( * )  QVAL,
integer  NMATS,
integer, dimension( 4 )  ISEED,
double precision  THRESH,
integer  MMAX,
complex*16, dimension( * )  X,
complex*16, dimension( * )  XF,
complex*16, dimension( * )  U1,
complex*16, dimension( * )  U2,
complex*16, dimension( * )  V1T,
complex*16, dimension( * )  V2T,
double precision, dimension( * )  THETA,
integer, dimension( * )  IWORK,
complex*16, dimension( * )  WORK,
double precision, dimension( * )  RWORK,
integer  NIN,
integer  NOUT,
integer  INFO 
)

ZCKCSD

Purpose:
 ZCKCSD tests ZUNCSD:
        the CSD for an M-by-M unitary 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 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]MMAX
          MMAX is INTEGER
          The maximum value permitted for M, used in dimensioning the
          work arrays.
[out]X
          X is COMPLEX*16 array, dimension (MMAX*MMAX)
[out]XF
          XF is COMPLEX*16 array, dimension (MMAX*MMAX)
[out]U1
          U1 is COMPLEX*16 array, dimension (MMAX*MMAX)
[out]U2
          U2 is COMPLEX*16 array, dimension (MMAX*MMAX)
[out]V1T
          V1T is COMPLEX*16 array, dimension (MMAX*MMAX)
[out]V2T
          V2T is COMPLEX*16 array, dimension (MMAX*MMAX)
[out]THETA
          THETA is DOUBLE PRECISION array, dimension (MMAX)
[out]IWORK
          IWORK is INTEGER array, dimension (MMAX)
[out]WORK
          WORK is COMPLEX*16 array
[out]RWORK
          RWORK is DOUBLE PRECISION 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 ZLAROR 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 zckcsd.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  DOUBLE PRECISION THRESH
192 * ..
193 * .. Array Arguments ..
194  INTEGER ISEED( 4 ), IWORK( * ), MVAL( * ), PVAL( * ),
195  $ QVAL( * )
196  DOUBLE PRECISION RWORK( * ), THETA( * )
197  COMPLEX*16 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  DOUBLE PRECISION GAPDIGIT, ORTH, REALONE, REALZERO, TEN
209  parameter( gapdigit = 18.0d0, orth = 1.0d-12,
210  $ realone = 1.0d0, realzero = 0.0d0,
211  $ ten = 10.0d0 )
212  COMPLEX*16 ONE, ZERO
213  parameter( one = (1.0d0,0.0d0), zero = (0.0d0,0.0d0) )
214  DOUBLE PRECISION PIOVER2
215  parameter( piover2 = 1.57079632679489661923132169163975144210d0 )
216 * ..
217 * .. Local Scalars ..
218  LOGICAL FIRSTT
219  CHARACTER*3 PATH
220  INTEGER I, IINFO, IM, IMAT, J, LDU1, LDU2, LDV1T,
221  $ LDV2T, LDX, LWORK, M, NFAIL, NRUN, NT, P, Q, R
222 * ..
223 * .. Local Arrays ..
224  LOGICAL DOTYPE( NTYPES )
225  DOUBLE PRECISION RESULT( NTESTS )
226 * ..
227 * .. External Subroutines ..
228  EXTERNAL alahdg, alareq, alasum, zcsdts, zlacsg, zlaror,
229  $ zlaset, zdrot
230 * ..
231 * .. Intrinsic Functions ..
232  INTRINSIC abs, min
233 * ..
234 * .. External Functions ..
235  DOUBLE PRECISION DLARAN, DLARND
236  EXTERNAL dlaran, dlarnd
237 * ..
238 * .. Executable Statements ..
239 *
240 * Initialize constants and the random number seed.
241 *
242  path( 1: 3 ) = 'CSD'
243  info = 0
244  nrun = 0
245  nfail = 0
246  firstt = .true.
247  CALL alareq( path, nmats, dotype, ntypes, nin, nout )
248  ldx = mmax
249  ldu1 = mmax
250  ldu2 = mmax
251  ldv1t = mmax
252  ldv2t = mmax
253  lwork = mmax*mmax
254 *
255 * Do for each value of M in MVAL.
256 *
257  DO 30 im = 1, nm
258  m = mval( im )
259  p = pval( im )
260  q = qval( im )
261 *
262  DO 20 imat = 1, ntypes
263 *
264 * Do the tests only if DOTYPE( IMAT ) is true.
265 *
266  IF( .NOT.dotype( imat ) )
267  $ GO TO 20
268 *
269 * Generate X
270 *
271  IF( imat.EQ.1 ) THEN
272  CALL zlaror( 'L', 'I', m, m, x, ldx, iseed, work, iinfo )
273  IF( m .NE. 0 .AND. iinfo .NE. 0 ) THEN
274  WRITE( nout, fmt = 9999 ) m, iinfo
275  info = abs( iinfo )
276  GO TO 20
277  END IF
278  ELSE IF( imat.EQ.2 ) THEN
279  r = min( p, m-p, q, m-q )
280  DO i = 1, r
281  theta(i) = piover2 * dlarnd( 1, iseed )
282  END DO
283  CALL zlacsg( m, p, q, theta, iseed, x, ldx, work )
284  DO i = 1, m
285  DO j = 1, m
286  x(i+(j-1)*ldx) = x(i+(j-1)*ldx) +
287  $ orth*dlarnd(2,iseed)
288  END DO
289  END DO
290  ELSE IF( imat.EQ.3 ) THEN
291  r = min( p, m-p, q, m-q )
292  DO i = 1, r+1
293  theta(i) = ten**(-dlarnd(1,iseed)*gapdigit)
294  END DO
295  DO i = 2, r+1
296  theta(i) = theta(i-1) + theta(i)
297  END DO
298  DO i = 1, r
299  theta(i) = piover2 * theta(i) / theta(r+1)
300  END DO
301  CALL zlacsg( m, p, q, theta, iseed, x, ldx, work )
302  ELSE
303  CALL zlaset( 'F', m, m, zero, one, x, ldx )
304  DO i = 1, m
305  j = int( dlaran( iseed ) * m ) + 1
306  IF( j .NE. i ) THEN
307  CALL zdrot( m, x(1+(i-1)*ldx), 1, x(1+(j-1)*ldx),
308  $ 1, realzero, realone )
309  END IF
310  END DO
311  END IF
312 *
313  nt = 15
314 *
315  CALL zcsdts( m, p, q, x, xf, ldx, u1, ldu1, u2, ldu2, v1t,
316  $ ldv1t, v2t, ldv2t, theta, iwork, work, lwork,
317  $ rwork, result )
318 *
319 * Print information about the tests that did not
320 * pass the threshold.
321 *
322  DO 10 i = 1, nt
323  IF( result( i ).GE.thresh ) THEN
324  IF( nfail.EQ.0 .AND. firstt ) THEN
325  firstt = .false.
326  CALL alahdg( nout, path )
327  END IF
328  WRITE( nout, fmt = 9998 )m, p, q, imat, i,
329  $ result( i )
330  nfail = nfail + 1
331  END IF
332  10 CONTINUE
333  nrun = nrun + nt
334  20 CONTINUE
335  30 CONTINUE
336 *
337 * Print a summary of the results.
338 *
339  CALL alasum( path, nout, nfail, nrun, 0 )
340 *
341  9999 FORMAT( ' ZLAROR in ZCKCSD: M = ', i5, ', INFO = ', i15 )
342  9998 FORMAT( ' M=', i4, ' P=', i4, ', Q=', i4, ', type ', i2,
343  $ ', test ', i2, ', ratio=', g13.6 )
344  RETURN
345 *
346 * End of ZCKCSD
347 *
dlaran
double precision function dlaran(ISEED)
DLARAN
Definition: dlaran.f:67
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
zdrot
subroutine zdrot(N, ZX, INCX, ZY, INCY, C, S)
ZDROT
Definition: zdrot.f:98
zcsdts
subroutine zcsdts(M, P, Q, X, XF, LDX, U1, LDU1, U2, LDU2, V1T, LDV1T, V2T, LDV2T, THETA, IWORK, WORK, LWORK, RWORK, RESULT)
ZCSDTS
Definition: zcsdts.f:229
zlaror
subroutine zlaror(SIDE, INIT, M, N, A, LDA, ISEED, X, INFO)
ZLAROR
Definition: zlaror.f:158
zlaset
subroutine zlaset(UPLO, M, N, ALPHA, BETA, A, LDA)
ZLASET initializes the off-diagonal elements and the diagonal elements of a matrix to given values.
Definition: zlaset.f:106
dlarnd
double precision function dlarnd(IDIST, ISEED)
DLARND
Definition: dlarnd.f:73
zlacsg
subroutine zlacsg(M, P, Q, THETA, ISEED, X, LDX, WORK)
Definition: zckcsd.f:353
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