LAPACK 3.12.0
LAPACK: Linear Algebra PACKage
Loading...
Searching...
No Matches

◆ cchkql()

subroutine cchkql ( logical, dimension( * )  dotype,
integer  nm,
integer, dimension( * )  mval,
integer  nn,
integer, dimension( * )  nval,
integer  nnb,
integer, dimension( * )  nbval,
integer, dimension( * )  nxval,
integer  nrhs,
real  thresh,
logical  tsterr,
integer  nmax,
complex, dimension( * )  a,
complex, dimension( * )  af,
complex, dimension( * )  aq,
complex, dimension( * )  al,
complex, dimension( * )  ac,
complex, dimension( * )  b,
complex, dimension( * )  x,
complex, dimension( * )  xact,
complex, dimension( * )  tau,
complex, dimension( * )  work,
real, dimension( * )  rwork,
integer  nout 
)

CCHKQL

Purpose:
 CCHKQL tests CGEQLF, CUNGQL and CUNMQL.
Parameters
[in]DOTYPE
          DOTYPE is LOGICAL array, dimension (NTYPES)
          The matrix types to be used for testing.  Matrices of type j
          (for 1 <= j <= NTYPES) are used for testing if DOTYPE(j) =
          .TRUE.; if DOTYPE(j) = .FALSE., then type j is not used.
[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]NN
          NN is INTEGER
          The number of values of N contained in the vector NVAL.
[in]NVAL
          NVAL is INTEGER array, dimension (NN)
          The values of the matrix column dimension N.
[in]NNB
          NNB is INTEGER
          The number of values of NB and NX contained in the
          vectors NBVAL and NXVAL.  The blocking parameters are used
          in pairs (NB,NX).
[in]NBVAL
          NBVAL is INTEGER array, dimension (NNB)
          The values of the blocksize NB.
[in]NXVAL
          NXVAL is INTEGER array, dimension (NNB)
          The values of the crossover point NX.
[in]NRHS
          NRHS is INTEGER
          The number of right hand side vectors to be generated for
          each linear system.
[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]TSTERR
          TSTERR is LOGICAL
          Flag that indicates whether error exits are to be tested.
[in]NMAX
          NMAX is INTEGER
          The maximum value permitted for M or N, used in dimensioning
          the work arrays.
[out]A
          A is COMPLEX array, dimension (NMAX*NMAX)
[out]AF
          AF is COMPLEX array, dimension (NMAX*NMAX)
[out]AQ
          AQ is COMPLEX array, dimension (NMAX*NMAX)
[out]AL
          AL is COMPLEX array, dimension (NMAX*NMAX)
[out]AC
          AC is COMPLEX array, dimension (NMAX*NMAX)
[out]B
          B is COMPLEX array, dimension (NMAX*NRHS)
[out]X
          X is COMPLEX array, dimension (NMAX*NRHS)
[out]XACT
          XACT is COMPLEX array, dimension (NMAX*NRHS)
[out]TAU
          TAU is COMPLEX array, dimension (NMAX)
[out]WORK
          WORK is COMPLEX array, dimension (NMAX*NMAX)
[out]RWORK
          RWORK is REAL array, dimension (NMAX)
[in]NOUT
          NOUT is INTEGER
          The unit number for output.
Author
Univ. of Tennessee
Univ. of California Berkeley
Univ. of Colorado Denver
NAG Ltd.

Definition at line 193 of file cchkql.f.

196*
197* -- LAPACK test routine --
198* -- LAPACK is a software package provided by Univ. of Tennessee, --
199* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
200*
201* .. Scalar Arguments ..
202 LOGICAL TSTERR
203 INTEGER NM, NMAX, NN, NNB, NOUT, NRHS
204 REAL THRESH
205* ..
206* .. Array Arguments ..
207 LOGICAL DOTYPE( * )
208 INTEGER MVAL( * ), NBVAL( * ), NVAL( * ),
209 $ NXVAL( * )
210 REAL RWORK( * )
211 COMPLEX A( * ), AC( * ), AF( * ), AL( * ), AQ( * ),
212 $ B( * ), TAU( * ), WORK( * ), X( * ), XACT( * )
213* ..
214*
215* =====================================================================
216*
217* .. Parameters ..
218 INTEGER NTESTS
219 parameter( ntests = 7 )
220 INTEGER NTYPES
221 parameter( ntypes = 8 )
222 REAL ZERO
223 parameter( zero = 0.0e0 )
224* ..
225* .. Local Scalars ..
226 CHARACTER DIST, TYPE
227 CHARACTER*3 PATH
228 INTEGER I, IK, IM, IMAT, IN, INB, INFO, K, KL, KU, LDA,
229 $ LWORK, M, MINMN, MODE, N, NB, NERRS, NFAIL, NK,
230 $ NRUN, NT, NX
231 REAL ANORM, CNDNUM
232* ..
233* .. Local Arrays ..
234 INTEGER ISEED( 4 ), ISEEDY( 4 ), KVAL( 4 )
235 REAL RESULT( NTESTS )
236* ..
237* .. External Subroutines ..
238 EXTERNAL alaerh, alahd, alasum, cerrql, cgeqls, cget02,
239 $ clacpy, clarhs, clatb4, clatms, cqlt01, cqlt02,
240 $ cqlt03, xlaenv
241* ..
242* .. Intrinsic Functions ..
243 INTRINSIC max, min
244* ..
245* .. Scalars in Common ..
246 LOGICAL LERR, OK
247 CHARACTER*32 SRNAMT
248 INTEGER INFOT, NUNIT
249* ..
250* .. Common blocks ..
251 COMMON / infoc / infot, nunit, ok, lerr
252 COMMON / srnamc / srnamt
253* ..
254* .. Data statements ..
255 DATA iseedy / 1988, 1989, 1990, 1991 /
256* ..
257* .. Executable Statements ..
258*
259* Initialize constants and the random number seed.
260*
261 path( 1: 1 ) = 'Complex precision'
262 path( 2: 3 ) = 'QL'
263 nrun = 0
264 nfail = 0
265 nerrs = 0
266 DO 10 i = 1, 4
267 iseed( i ) = iseedy( i )
268 10 CONTINUE
269*
270* Test the error exits
271*
272 IF( tsterr )
273 $ CALL cerrql( path, nout )
274 infot = 0
275 CALL xlaenv( 2, 2 )
276*
277 lda = nmax
278 lwork = nmax*max( nmax, nrhs )
279*
280* Do for each value of M in MVAL.
281*
282 DO 70 im = 1, nm
283 m = mval( im )
284*
285* Do for each value of N in NVAL.
286*
287 DO 60 in = 1, nn
288 n = nval( in )
289 minmn = min( m, n )
290 DO 50 imat = 1, ntypes
291*
292* Do the tests only if DOTYPE( IMAT ) is true.
293*
294 IF( .NOT.dotype( imat ) )
295 $ GO TO 50
296*
297* Set up parameters with CLATB4 and generate a test matrix
298* with CLATMS.
299*
300 CALL clatb4( path, imat, m, n, TYPE, KL, KU, ANORM, MODE,
301 $ CNDNUM, DIST )
302*
303 srnamt = 'CLATMS'
304 CALL clatms( m, n, dist, iseed, TYPE, RWORK, MODE,
305 $ CNDNUM, ANORM, KL, KU, 'No packing', A, LDA,
306 $ WORK, INFO )
307*
308* Check error code from CLATMS.
309*
310 IF( info.NE.0 ) THEN
311 CALL alaerh( path, 'CLATMS', info, 0, ' ', m, n, -1,
312 $ -1, -1, imat, nfail, nerrs, nout )
313 GO TO 50
314 END IF
315*
316* Set some values for K: the first value must be MINMN,
317* corresponding to the call of CQLT01; other values are
318* used in the calls of CQLT02, and must not exceed MINMN.
319*
320 kval( 1 ) = minmn
321 kval( 2 ) = 0
322 kval( 3 ) = 1
323 kval( 4 ) = minmn / 2
324 IF( minmn.EQ.0 ) THEN
325 nk = 1
326 ELSE IF( minmn.EQ.1 ) THEN
327 nk = 2
328 ELSE IF( minmn.LE.3 ) THEN
329 nk = 3
330 ELSE
331 nk = 4
332 END IF
333*
334* Do for each value of K in KVAL
335*
336 DO 40 ik = 1, nk
337 k = kval( ik )
338*
339* Do for each pair of values (NB,NX) in NBVAL and NXVAL.
340*
341 DO 30 inb = 1, nnb
342 nb = nbval( inb )
343 CALL xlaenv( 1, nb )
344 nx = nxval( inb )
345 CALL xlaenv( 3, nx )
346 DO i = 1, ntests
347 result( i ) = zero
348 END DO
349 nt = 2
350 IF( ik.EQ.1 ) THEN
351*
352* Test CGEQLF
353*
354 CALL cqlt01( m, n, a, af, aq, al, lda, tau,
355 $ work, lwork, rwork, result( 1 ) )
356 ELSE IF( m.GE.n ) THEN
357*
358* Test CUNGQL, using factorization
359* returned by CQLT01
360*
361 CALL cqlt02( m, n, k, a, af, aq, al, lda, tau,
362 $ work, lwork, rwork, result( 1 ) )
363 END IF
364 IF( m.GE.k ) THEN
365*
366* Test CUNMQL, using factorization returned
367* by CQLT01
368*
369 CALL cqlt03( m, n, k, af, ac, al, aq, lda, tau,
370 $ work, lwork, rwork, result( 3 ) )
371 nt = nt + 4
372*
373* If M>=N and K=N, call CGEQLS to solve a system
374* with NRHS right hand sides and compute the
375* residual.
376*
377 IF( k.EQ.n .AND. inb.EQ.1 ) THEN
378*
379* Generate a solution and set the right
380* hand side.
381*
382 srnamt = 'CLARHS'
383 CALL clarhs( path, 'New', 'Full',
384 $ 'No transpose', m, n, 0, 0,
385 $ nrhs, a, lda, xact, lda, b, lda,
386 $ iseed, info )
387*
388 CALL clacpy( 'Full', m, nrhs, b, lda, x,
389 $ lda )
390 srnamt = 'CGEQLS'
391 CALL cgeqls( m, n, nrhs, af, lda, tau, x,
392 $ lda, work, lwork, info )
393*
394* Check error code from CGEQLS.
395*
396 IF( info.NE.0 )
397 $ CALL alaerh( path, 'CGEQLS', info, 0, ' ',
398 $ m, n, nrhs, -1, nb, imat,
399 $ nfail, nerrs, nout )
400*
401 CALL cget02( 'No transpose', m, n, nrhs, a,
402 $ lda, x( m-n+1 ), lda, b, lda,
403 $ rwork, result( 7 ) )
404 nt = nt + 1
405 END IF
406 END IF
407*
408* Print information about the tests that did not
409* pass the threshold.
410*
411 DO 20 i = 1, nt
412 IF( result( i ).GE.thresh ) THEN
413 IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
414 $ CALL alahd( nout, path )
415 WRITE( nout, fmt = 9999 )m, n, k, nb, nx,
416 $ imat, i, result( i )
417 nfail = nfail + 1
418 END IF
419 20 CONTINUE
420 nrun = nrun + nt
421 30 CONTINUE
422 40 CONTINUE
423 50 CONTINUE
424 60 CONTINUE
425 70 CONTINUE
426*
427* Print a summary of the results.
428*
429 CALL alasum( path, nout, nfail, nrun, nerrs )
430*
431 9999 FORMAT( ' M=', i5, ', N=', i5, ', K=', i5, ', NB=', i4, ', NX=',
432 $ i5, ', type ', i2, ', test(', i2, ')=', g12.5 )
433 RETURN
434*
435* End of CCHKQL
436*
alasum
subroutine alasum(type, nout, nfail, nrun, nerrs)
ALASUM
Definition alasum.f:73
cget02
subroutine cget02(trans, m, n, nrhs, a, lda, x, ldx, b, ldb, rwork, resid)
CGET02
Definition cget02.f:134
clarhs
subroutine clarhs(path, xtype, uplo, trans, m, n, kl, ku, nrhs, a, lda, x, ldx, b, ldb, iseed, info)
CLARHS
Definition clarhs.f:208
xlaenv
subroutine xlaenv(ispec, nvalue)
XLAENV
Definition xlaenv.f:81
alaerh
subroutine alaerh(path, subnam, info, infoe, opts, m, n, kl, ku, n5, imat, nfail, nerrs, nout)
ALAERH
Definition alaerh.f:147
alahd
subroutine alahd(iounit, path)
ALAHD
Definition alahd.f:107
cerrql
subroutine cerrql(path, nunit)
CERRQL
Definition cerrql.f:55
cgeqls
subroutine cgeqls(m, n, nrhs, a, lda, tau, b, ldb, work, lwork, info)
CGEQLS
Definition cgeqls.f:122
clatb4
subroutine clatb4(path, imat, m, n, type, kl, ku, anorm, mode, cndnum, dist)
CLATB4
Definition clatb4.f:121
clatms
subroutine clatms(m, n, dist, iseed, sym, d, mode, cond, dmax, kl, ku, pack, a, lda, work, info)
CLATMS
Definition clatms.f:332
cqlt01
subroutine cqlt01(m, n, a, af, q, l, lda, tau, work, lwork, rwork, result)
CQLT01
Definition cqlt01.f:126
cqlt02
subroutine cqlt02(m, n, k, a, af, q, l, lda, tau, work, lwork, rwork, result)
CQLT02
Definition cqlt02.f:136
cqlt03
subroutine cqlt03(m, n, k, af, c, cc, q, lda, tau, work, lwork, rwork, result)
CQLT03
Definition cqlt03.f:136
clacpy
subroutine clacpy(uplo, m, n, a, lda, b, ldb)
CLACPY copies all or part of one two-dimensional array to another.
Definition clacpy.f:103
Here is the call graph for this function:
Here is the caller graph for this function: