LAPACK 3.12.0
LAPACK: Linear Algebra PACKage
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◆ 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*
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
dlaran
double precision function dlaran(iseed)
DLARAN
Definition dlaran.f:67
dlarnd
double precision function dlarnd(idist, iseed)
DLARND
Definition dlarnd.f:73
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
zdrot
subroutine zdrot(n, zx, incx, zy, incy, c, s)
ZDROT
Definition zdrot.f:98
zlacsg
subroutine zlacsg(m, p, q, theta, iseed, x, ldx, work)
Definition zckcsd.f:353
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
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