 LAPACK  3.10.1 LAPACK: Linear Algebra PACKage

## ◆ 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.```

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,
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 *
subroutine alasum(TYPE, NOUT, NFAIL, NRUN, NERRS)
ALASUM
Definition: alasum.f:73
subroutine xlaenv(ISPEC, NVALUE)
XLAENV
Definition: xlaenv.f:81
subroutine alahd(IOUNIT, PATH)
ALAHD
Definition: alahd.f:107
subroutine alaerh(PATH, SUBNAM, INFO, INFOE, OPTS, M, N, KL, KU, N5, IMAT, NFAIL, NERRS, NOUT)
ALAERH
Definition: alaerh.f:147
subroutine clarhs(PATH, XTYPE, UPLO, TRANS, M, N, KL, KU, NRHS, A, LDA, X, LDX, B, LDB, ISEED, INFO)
CLARHS
Definition: clarhs.f:208
subroutine cget02(TRANS, M, N, NRHS, A, LDA, X, LDX, B, LDB, RWORK, RESID)
CGET02
Definition: cget02.f:134
subroutine clatb4(PATH, IMAT, M, N, TYPE, KL, KU, ANORM, MODE, CNDNUM, DIST)
CLATB4
Definition: clatb4.f:121
subroutine cqlt02(M, N, K, A, AF, Q, L, LDA, TAU, WORK, LWORK, RWORK, RESULT)
CQLT02
Definition: cqlt02.f:136
subroutine cerrql(PATH, NUNIT)
CERRQL
Definition: cerrql.f:55
subroutine cqlt03(M, N, K, AF, C, CC, Q, LDA, TAU, WORK, LWORK, RWORK, RESULT)
CQLT03
Definition: cqlt03.f:136
subroutine cgeqls(M, N, NRHS, A, LDA, TAU, B, LDB, WORK, LWORK, INFO)
CGEQLS
Definition: cgeqls.f:122
subroutine cqlt01(M, N, A, AF, Q, L, LDA, TAU, WORK, LWORK, RWORK, RESULT)
CQLT01
Definition: cqlt01.f:126
subroutine clatms(M, N, DIST, ISEED, SYM, D, MODE, COND, DMAX, KL, KU, PACK, A, LDA, WORK, INFO)
CLATMS
Definition: clatms.f:332
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
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