LAPACK 3.12.1
LAPACK: Linear Algebra PACKage
Loading...
Searching...
No Matches

◆ cchkrq()

subroutine cchkrq ( 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( * ) ar,
complex, dimension( * ) ac,
complex, dimension( * ) b,
complex, dimension( * ) x,
complex, dimension( * ) xact,
complex, dimension( * ) tau,
complex, dimension( * ) work,
real, dimension( * ) rwork,
integer, dimension( * ) iwork,
integer nout )

CCHKRQ

Purpose:
!>
!> CCHKRQ tests CGERQF, CUNGRQ and CUNMRQ.
!>
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]AR
!>          AR 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)
!>
[out]IWORK
!>          IWORK is INTEGER 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 198 of file cchkrq.f.

201*
202* -- LAPACK test routine --
203* -- LAPACK is a software package provided by Univ. of Tennessee, --
204* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
205*
206* .. Scalar Arguments ..
207 LOGICAL TSTERR
208 INTEGER NM, NMAX, NN, NNB, NOUT, NRHS
209 REAL THRESH
210* ..
211* .. Array Arguments ..
212 LOGICAL DOTYPE( * )
213 INTEGER IWORK( * ), MVAL( * ), NBVAL( * ), NVAL( * ),
214 $ NXVAL( * )
215 REAL RWORK( * )
216 COMPLEX A( * ), AC( * ), AF( * ), AQ( * ), AR( * ),
217 $ B( * ), TAU( * ), WORK( * ), X( * ), XACT( * )
218* ..
219*
220* =====================================================================
221*
222* .. Parameters ..
223 INTEGER NTESTS
224 parameter( ntests = 7 )
225 INTEGER NTYPES
226 parameter( ntypes = 8 )
227 REAL ZERO
228 parameter( zero = 0.0e0 )
229* ..
230* .. Local Scalars ..
231 CHARACTER DIST, TYPE
232 CHARACTER*3 PATH
233 INTEGER I, IK, IM, IMAT, IN, INB, INFO, K, KL, KU, LDA,
234 $ LWORK, M, MINMN, MODE, N, NB, NERRS, NFAIL, NK,
235 $ NRUN, NT, NX
236 REAL ANORM, CNDNUM
237* ..
238* .. Local Arrays ..
239 INTEGER ISEED( 4 ), ISEEDY( 4 ), KVAL( 4 )
240 REAL RESULT( NTESTS )
241* ..
242* .. External Subroutines ..
243 EXTERNAL alaerh, alahd, alasum, cerrrq, cgerqs, cget02,
244 $ clacpy, clarhs, clatb4, clatms, crqt01, crqt02,
245 $ crqt03, xlaenv
246* ..
247* .. Intrinsic Functions ..
248 INTRINSIC max, min
249* ..
250* .. Scalars in Common ..
251 LOGICAL LERR, OK
252 CHARACTER*32 SRNAMT
253 INTEGER INFOT, NUNIT
254* ..
255* .. Common blocks ..
256 COMMON / infoc / infot, nunit, ok, lerr
257 COMMON / srnamc / srnamt
258* ..
259* .. Data statements ..
260 DATA iseedy / 1988, 1989, 1990, 1991 /
261* ..
262* .. Executable Statements ..
263*
264* Initialize constants and the random number seed.
265*
266 path( 1: 1 ) = 'Complex precision'
267 path( 2: 3 ) = 'RQ'
268 nrun = 0
269 nfail = 0
270 nerrs = 0
271 DO 10 i = 1, 4
272 iseed( i ) = iseedy( i )
273 10 CONTINUE
274*
275* Test the error exits
276*
277 IF( tsterr )
278 $ CALL cerrrq( path, nout )
279 infot = 0
280 CALL xlaenv( 2, 2 )
281*
282 lda = nmax
283 lwork = nmax*max( nmax, nrhs )
284*
285* Do for each value of M in MVAL.
286*
287 DO 70 im = 1, nm
288 m = mval( im )
289*
290* Do for each value of N in NVAL.
291*
292 DO 60 in = 1, nn
293 n = nval( in )
294 minmn = min( m, n )
295 DO 50 imat = 1, ntypes
296*
297* Do the tests only if DOTYPE( IMAT ) is true.
298*
299 IF( .NOT.dotype( imat ) )
300 $ GO TO 50
301*
302* Set up parameters with CLATB4 and generate a test matrix
303* with CLATMS.
304*
305 CALL clatb4( path, imat, m, n, TYPE, KL, KU, ANORM, MODE,
306 $ CNDNUM, DIST )
307*
308 srnamt = 'CLATMS'
309 CALL clatms( m, n, dist, iseed, TYPE, RWORK, MODE,
310 $ CNDNUM, ANORM, KL, KU, 'No packing', A, LDA,
311 $ WORK, INFO )
312*
313* Check error code from CLATMS.
314*
315 IF( info.NE.0 ) THEN
316 CALL alaerh( path, 'CLATMS', info, 0, ' ', m, n, -1,
317 $ -1, -1, imat, nfail, nerrs, nout )
318 GO TO 50
319 END IF
320*
321* Set some values for K: the first value must be MINMN,
322* corresponding to the call of CRQT01; other values are
323* used in the calls of CRQT02, and must not exceed MINMN.
324*
325 kval( 1 ) = minmn
326 kval( 2 ) = 0
327 kval( 3 ) = 1
328 kval( 4 ) = minmn / 2
329 IF( minmn.EQ.0 ) THEN
330 nk = 1
331 ELSE IF( minmn.EQ.1 ) THEN
332 nk = 2
333 ELSE IF( minmn.LE.3 ) THEN
334 nk = 3
335 ELSE
336 nk = 4
337 END IF
338*
339* Do for each value of K in KVAL
340*
341 DO 40 ik = 1, nk
342 k = kval( ik )
343*
344* Do for each pair of values (NB,NX) in NBVAL and NXVAL.
345*
346 DO 30 inb = 1, nnb
347 nb = nbval( inb )
348 CALL xlaenv( 1, nb )
349 nx = nxval( inb )
350 CALL xlaenv( 3, nx )
351 DO i = 1, ntests
352 result( i ) = zero
353 END DO
354 nt = 2
355 IF( ik.EQ.1 ) THEN
356*
357* Test CGERQF
358*
359 CALL crqt01( m, n, a, af, aq, ar, lda, tau,
360 $ work, lwork, rwork, result( 1 ) )
361 ELSE IF( m.LE.n ) THEN
362*
363* Test CUNGRQ, using factorization
364* returned by CRQT01
365*
366 CALL crqt02( m, n, k, a, af, aq, ar, lda, tau,
367 $ work, lwork, rwork, result( 1 ) )
368 END IF
369 IF( m.GE.k ) THEN
370*
371* Test CUNMRQ, using factorization returned
372* by CRQT01
373*
374 CALL crqt03( m, n, k, af, ac, ar, aq, lda, tau,
375 $ work, lwork, rwork, result( 3 ) )
376 nt = nt + 4
377*
378* If M>=N and K=N, call CGERQS to solve a system
379* with NRHS right hand sides and compute the
380* residual.
381*
382 IF( k.EQ.m .AND. inb.EQ.1 ) THEN
383*
384* Generate a solution and set the right
385* hand side.
386*
387 srnamt = 'CLARHS'
388 CALL clarhs( path, 'New', 'Full',
389 $ 'No transpose', m, n, 0, 0,
390 $ nrhs, a, lda, xact, lda, b, lda,
391 $ iseed, info )
392*
393 CALL clacpy( 'Full', m, nrhs, b, lda,
394 $ x( n-m+1 ), lda )
395 srnamt = 'CGERQS'
396 CALL cgerqs( m, n, nrhs, af, lda, tau, x,
397 $ lda, work, lwork, info )
398*
399* Check error code from CGERQS.
400*
401 IF( info.NE.0 )
402 $ CALL alaerh( path, 'CGERQS', info, 0, ' ',
403 $ m, n, nrhs, -1, nb, imat,
404 $ nfail, nerrs, nout )
405*
406 CALL cget02( 'No transpose', m, n, nrhs, a,
407 $ lda, x, lda, b, lda, rwork,
408 $ result( 7 ) )
409 nt = nt + 1
410 END IF
411 END IF
412*
413* Print information about the tests that did not
414* pass the threshold.
415*
416 DO 20 i = 1, nt
417 IF( result( i ).GE.thresh ) THEN
418 IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
419 $ CALL alahd( nout, path )
420 WRITE( nout, fmt = 9999 )m, n, k, nb, nx,
421 $ imat, i, result( i )
422 nfail = nfail + 1
423 END IF
424 20 CONTINUE
425 nrun = nrun + nt
426 30 CONTINUE
427 40 CONTINUE
428 50 CONTINUE
429 60 CONTINUE
430 70 CONTINUE
431*
432* Print a summary of the results.
433*
434 CALL alasum( path, nout, nfail, nrun, nerrs )
435*
436 9999 FORMAT( ' M=', i5, ', N=', i5, ', K=', i5, ', NB=', i4, ', NX=',
437 $ i5, ', type ', i2, ', test(', i2, ')=', g12.5 )
438 RETURN
439*
440* End of CCHKRQ
441*
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
cerrrq
subroutine cerrrq(path, nunit)
CERRRQ
Definition cerrrq.f:55
cgerqs
subroutine cgerqs(m, n, nrhs, a, lda, tau, b, ldb, work, lwork, info)
CGERQS
Definition cgerqs.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
crqt01
subroutine crqt01(m, n, a, af, q, r, lda, tau, work, lwork, rwork, result)
CRQT01
Definition crqt01.f:126
crqt02
subroutine crqt02(m, n, k, a, af, q, r, lda, tau, work, lwork, rwork, result)
CRQT02
Definition crqt02.f:136
crqt03
subroutine crqt03(m, n, k, af, c, cc, q, lda, tau, work, lwork, rwork, result)
CRQT03
Definition crqt03.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:101
Here is the call graph for this function:
Here is the caller graph for this function: