LAPACK  3.10.1
LAPACK: Linear Algebra PACKage

◆ cckcsd()

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

CCKCSD

Purpose:
 CCKCSD tests CUNCSD:
        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 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 COMPLEX array, dimension (MMAX*MMAX)
[out]XF
          XF is COMPLEX array, dimension (MMAX*MMAX)
[out]U1
          U1 is COMPLEX array, dimension (MMAX*MMAX)
[out]U2
          U2 is COMPLEX array, dimension (MMAX*MMAX)
[out]V1T
          V1T is COMPLEX array, dimension (MMAX*MMAX)
[out]V2T
          V2T is COMPLEX array, dimension (MMAX*MMAX)
[out]THETA
          THETA is REAL array, dimension (MMAX)
[out]IWORK
          IWORK is INTEGER array, dimension (MMAX)
[out]WORK
          WORK is COMPLEX 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 CLAROR 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 cckcsd.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  COMPLEX 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, ORTH, REALONE, REALZERO, TEN
209  parameter( gapdigit = 10.0e0, orth = 1.0e-4,
210  $ realone = 1.0e0, realzero = 0.0e0,
211  $ ten = 10.0e0 )
212  COMPLEX ONE, ZERO
213  parameter( one = (1.0e0,0.0e0), zero = (0.0e0,0.0e0) )
214  REAL PIOVER2
215  parameter( piover2 = 1.57079632679489661923132169163975144210e0 )
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  REAL RESULT( NTESTS )
226 * ..
227 * .. External Subroutines ..
228  EXTERNAL alahdg, alareq, alasum, ccsdts, clacsg, claror,
229  $ claset, csrot
230 * ..
231 * .. Intrinsic Functions ..
232  INTRINSIC abs, min
233 * ..
234 * .. External Functions ..
235  REAL SLARAN, SLARND
236  EXTERNAL slaran, slarnd
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 claror( '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 * slarnd( 1, iseed )
282  END DO
283  CALL clacsg( 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*slarnd(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**(-slarnd(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 clacsg( m, p, q, theta, iseed, x, ldx, work )
302  ELSE
303  CALL claset( 'F', m, m, zero, one, x, ldx )
304  DO i = 1, m
305  j = int( slaran( iseed ) * m ) + 1
306  IF( j .NE. i ) THEN
307  CALL csrot( 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 ccsdts( 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( ' CLAROR in CCKCSD: 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 CCKCSD
347 *
subroutine clacsg(M, P, Q, THETA, ISEED, X, LDX, WORK)
Definition: cckcsd.f:353
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 csrot(N, CX, INCX, CY, INCY, C, S)
CSROT
Definition: csrot.f:98
subroutine ccsdts(M, P, Q, X, XF, LDX, U1, LDU1, U2, LDU2, V1T, LDV1T, V2T, LDV2T, THETA, IWORK, WORK, LWORK, RWORK, RESULT)
CCSDTS
Definition: ccsdts.f:229
subroutine claror(SIDE, INIT, M, N, A, LDA, ISEED, X, INFO)
CLAROR
Definition: claror.f:158
subroutine claset(UPLO, M, N, ALPHA, BETA, A, LDA)
CLASET initializes the off-diagonal elements and the diagonal elements of a matrix to given values.
Definition: claset.f:106
real function slaran(ISEED)
SLARAN
Definition: slaran.f:67
real function slarnd(IDIST, ISEED)
SLARND
Definition: slarnd.f:73
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