LAPACK  3.10.1
LAPACK: Linear Algebra PACKage

◆ dchkqr()

subroutine dchkqr ( logical, dimension( * )  DOTYPE,
integer  NM,
integer, dimension( * )  MVAL,
integer  NN,
integer, dimension( * )  NVAL,
integer  NNB,
integer, dimension( * )  NBVAL,
integer, dimension( * )  NXVAL,
integer  NRHS,
double precision  THRESH,
logical  TSTERR,
integer  NMAX,
double precision, dimension( * )  A,
double precision, dimension( * )  AF,
double precision, dimension( * )  AQ,
double precision, dimension( * )  AR,
double precision, dimension( * )  AC,
double precision, dimension( * )  B,
double precision, dimension( * )  X,
double precision, dimension( * )  XACT,
double precision, dimension( * )  TAU,
double precision, dimension( * )  WORK,
double precision, dimension( * )  RWORK,
integer, dimension( * )  IWORK,
integer  NOUT 
)

DCHKQR

Purpose:
 DCHKQR tests DGEQRF, DORGQR and DORMQR.
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 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]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 DOUBLE PRECISION array, dimension (NMAX*NMAX)
[out]AF
          AF is DOUBLE PRECISION array, dimension (NMAX*NMAX)
[out]AQ
          AQ is DOUBLE PRECISION array, dimension (NMAX*NMAX)
[out]AR
          AR is DOUBLE PRECISION array, dimension (NMAX*NMAX)
[out]AC
          AC is DOUBLE PRECISION array, dimension (NMAX*NMAX)
[out]B
          B is DOUBLE PRECISION array, dimension (NMAX*NRHS)
[out]X
          X is DOUBLE PRECISION array, dimension (NMAX*NRHS)
[out]XACT
          XACT is DOUBLE PRECISION array, dimension (NMAX*NRHS)
[out]TAU
          TAU is DOUBLE PRECISION array, dimension (NMAX)
[out]WORK
          WORK is DOUBLE PRECISION array, dimension (NMAX*NMAX)
[out]RWORK
          RWORK is DOUBLE PRECISION 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 dchkqr.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  DOUBLE PRECISION THRESH
210 * ..
211 * .. Array Arguments ..
212  LOGICAL DOTYPE( * )
213  INTEGER IWORK( * ), MVAL( * ), NBVAL( * ), NVAL( * ),
214  $ NXVAL( * )
215  DOUBLE PRECISION A( * ), AC( * ), AF( * ), AQ( * ), AR( * ),
216  $ B( * ), RWORK( * ), TAU( * ), WORK( * ),
217  $ X( * ), XACT( * )
218 * ..
219 *
220 * =====================================================================
221 *
222 * .. Parameters ..
223  INTEGER NTESTS
224  parameter( ntests = 9 )
225  INTEGER NTYPES
226  parameter( ntypes = 8 )
227  DOUBLE PRECISION ZERO
228  parameter( zero = 0.0d0 )
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  DOUBLE PRECISION ANORM, CNDNUM
237 * ..
238 * .. Local Arrays ..
239  INTEGER ISEED( 4 ), ISEEDY( 4 ), KVAL( 4 )
240  DOUBLE PRECISION RESULT( NTESTS )
241 * ..
242 * .. External Functions ..
243  LOGICAL DGENND
244  EXTERNAL dgennd
245 * ..
246 * .. External Subroutines ..
247  EXTERNAL alaerh, alahd, alasum, derrqr, dgeqrs, dget02,
250 * ..
251 * .. Intrinsic Functions ..
252  INTRINSIC max, min
253 * ..
254 * .. Scalars in Common ..
255  LOGICAL LERR, OK
256  CHARACTER*32 SRNAMT
257  INTEGER INFOT, NUNIT
258 * ..
259 * .. Common blocks ..
260  COMMON / infoc / infot, nunit, ok, lerr
261  COMMON / srnamc / srnamt
262 * ..
263 * .. Data statements ..
264  DATA iseedy / 1988, 1989, 1990, 1991 /
265 * ..
266 * .. Executable Statements ..
267 *
268 * Initialize constants and the random number seed.
269 *
270  path( 1: 1 ) = 'Double precision'
271  path( 2: 3 ) = 'QR'
272  nrun = 0
273  nfail = 0
274  nerrs = 0
275  DO 10 i = 1, 4
276  iseed( i ) = iseedy( i )
277  10 CONTINUE
278 *
279 * Test the error exits
280 *
281  IF( tsterr )
282  $ CALL derrqr( path, nout )
283  infot = 0
284  CALL xlaenv( 2, 2 )
285 *
286  lda = nmax
287  lwork = nmax*max( nmax, nrhs )
288 *
289 * Do for each value of M in MVAL.
290 *
291  DO 70 im = 1, nm
292  m = mval( im )
293 *
294 * Do for each value of N in NVAL.
295 *
296  DO 60 in = 1, nn
297  n = nval( in )
298  minmn = min( m, n )
299  DO 50 imat = 1, ntypes
300 *
301 * Do the tests only if DOTYPE( IMAT ) is true.
302 *
303  IF( .NOT.dotype( imat ) )
304  $ GO TO 50
305 *
306 * Set up parameters with DLATB4 and generate a test matrix
307 * with DLATMS.
308 *
309  CALL dlatb4( path, imat, m, n, TYPE, KL, KU, ANORM, MODE,
310  $ CNDNUM, DIST )
311 *
312  srnamt = 'DLATMS'
313  CALL dlatms( m, n, dist, iseed, TYPE, RWORK, MODE,
314  $ CNDNUM, ANORM, KL, KU, 'No packing', A, LDA,
315  $ WORK, INFO )
316 *
317 * Check error code from DLATMS.
318 *
319  IF( info.NE.0 ) THEN
320  CALL alaerh( path, 'DLATMS', info, 0, ' ', m, n, -1,
321  $ -1, -1, imat, nfail, nerrs, nout )
322  GO TO 50
323  END IF
324 *
325 * Set some values for K: the first value must be MINMN,
326 * corresponding to the call of DQRT01; other values are
327 * used in the calls of DQRT02, and must not exceed MINMN.
328 *
329  kval( 1 ) = minmn
330  kval( 2 ) = 0
331  kval( 3 ) = 1
332  kval( 4 ) = minmn / 2
333  IF( minmn.EQ.0 ) THEN
334  nk = 1
335  ELSE IF( minmn.EQ.1 ) THEN
336  nk = 2
337  ELSE IF( minmn.LE.3 ) THEN
338  nk = 3
339  ELSE
340  nk = 4
341  END IF
342 *
343 * Do for each value of K in KVAL
344 *
345  DO 40 ik = 1, nk
346  k = kval( ik )
347 *
348 * Do for each pair of values (NB,NX) in NBVAL and NXVAL.
349 *
350  DO 30 inb = 1, nnb
351  nb = nbval( inb )
352  CALL xlaenv( 1, nb )
353  nx = nxval( inb )
354  CALL xlaenv( 3, nx )
355  DO i = 1, ntests
356  result( i ) = zero
357  END DO
358  nt = 2
359  IF( ik.EQ.1 ) THEN
360 *
361 * Test DGEQRF
362 *
363  CALL dqrt01( m, n, a, af, aq, ar, lda, tau,
364  $ work, lwork, rwork, result( 1 ) )
365 
366 *
367 * Test DGEQRFP
368 *
369  CALL dqrt01p( m, n, a, af, aq, ar, lda, tau,
370  $ work, lwork, rwork, result( 8 ) )
371 
372  IF( .NOT. dgennd( m, n, af, lda ) )
373  $ result( 9 ) = 2*thresh
374  nt = nt + 1
375  ELSE IF( m.GE.n ) THEN
376 *
377 * Test DORGQR, using factorization
378 * returned by DQRT01
379 *
380  CALL dqrt02( m, n, k, a, af, aq, ar, lda, tau,
381  $ work, lwork, rwork, result( 1 ) )
382  END IF
383  IF( m.GE.k ) THEN
384 *
385 * Test DORMQR, using factorization returned
386 * by DQRT01
387 *
388  CALL dqrt03( m, n, k, af, ac, ar, aq, lda, tau,
389  $ work, lwork, rwork, result( 3 ) )
390  nt = nt + 4
391 *
392 * If M>=N and K=N, call DGEQRS to solve a system
393 * with NRHS right hand sides and compute the
394 * residual.
395 *
396  IF( k.EQ.n .AND. inb.EQ.1 ) THEN
397 *
398 * Generate a solution and set the right
399 * hand side.
400 *
401  srnamt = 'DLARHS'
402  CALL dlarhs( path, 'New', 'Full',
403  $ 'No transpose', m, n, 0, 0,
404  $ nrhs, a, lda, xact, lda, b, lda,
405  $ iseed, info )
406 *
407  CALL dlacpy( 'Full', m, nrhs, b, lda, x,
408  $ lda )
409  srnamt = 'DGEQRS'
410  CALL dgeqrs( m, n, nrhs, af, lda, tau, x,
411  $ lda, work, lwork, info )
412 *
413 * Check error code from DGEQRS.
414 *
415  IF( info.NE.0 )
416  $ CALL alaerh( path, 'DGEQRS', info, 0, ' ',
417  $ m, n, nrhs, -1, nb, imat,
418  $ nfail, nerrs, nout )
419 *
420  CALL dget02( 'No transpose', m, n, nrhs, a,
421  $ lda, x, lda, b, lda, rwork,
422  $ result( 7 ) )
423  nt = nt + 1
424  END IF
425  END IF
426 *
427 * Print information about the tests that did not
428 * pass the threshold.
429 *
430  DO 20 i = 1, ntests
431  IF( result( i ).GE.thresh ) THEN
432  IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
433  $ CALL alahd( nout, path )
434  WRITE( nout, fmt = 9999 )m, n, k, nb, nx,
435  $ imat, i, result( i )
436  nfail = nfail + 1
437  END IF
438  20 CONTINUE
439  nrun = nrun + ntests
440  30 CONTINUE
441  40 CONTINUE
442  50 CONTINUE
443  60 CONTINUE
444  70 CONTINUE
445 *
446 * Print a summary of the results.
447 *
448  CALL alasum( path, nout, nfail, nrun, nerrs )
449 *
450  9999 FORMAT( ' M=', i5, ', N=', i5, ', K=', i5, ', NB=', i4, ', NX=',
451  $ i5, ', type ', i2, ', test(', i2, ')=', g12.5 )
452  RETURN
453 *
454 * End of DCHKQR
455 *
subroutine dlacpy(UPLO, M, N, A, LDA, B, LDB)
DLACPY copies all or part of one two-dimensional array to another.
Definition: dlacpy.f:103
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 dlarhs(PATH, XTYPE, UPLO, TRANS, M, N, KL, KU, NRHS, A, LDA, X, LDX, B, LDB, ISEED, INFO)
DLARHS
Definition: dlarhs.f:205
subroutine dget02(TRANS, M, N, NRHS, A, LDA, X, LDX, B, LDB, RWORK, RESID)
DGET02
Definition: dget02.f:135
subroutine dqrt01(M, N, A, AF, Q, R, LDA, TAU, WORK, LWORK, RWORK, RESULT)
DQRT01
Definition: dqrt01.f:126
subroutine dqrt01p(M, N, A, AF, Q, R, LDA, TAU, WORK, LWORK, RWORK, RESULT)
DQRT01P
Definition: dqrt01p.f:126
logical function dgennd(M, N, A, LDA)
DGENND
Definition: dgennd.f:68
subroutine dgeqrs(M, N, NRHS, A, LDA, TAU, B, LDB, WORK, LWORK, INFO)
DGEQRS
Definition: dgeqrs.f:121
subroutine dqrt03(M, N, K, AF, C, CC, Q, LDA, TAU, WORK, LWORK, RWORK, RESULT)
DQRT03
Definition: dqrt03.f:136
subroutine dqrt02(M, N, K, A, AF, Q, R, LDA, TAU, WORK, LWORK, RWORK, RESULT)
DQRT02
Definition: dqrt02.f:135
subroutine dlatb4(PATH, IMAT, M, N, TYPE, KL, KU, ANORM, MODE, CNDNUM, DIST)
DLATB4
Definition: dlatb4.f:120
subroutine derrqr(PATH, NUNIT)
DERRQR
Definition: derrqr.f:55
subroutine dlatms(M, N, DIST, ISEED, SYM, D, MODE, COND, DMAX, KL, KU, PACK, A, LDA, WORK, INFO)
DLATMS
Definition: dlatms.f:321
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