LAPACK  3.10.0
LAPACK: Linear Algebra PACKage

◆ schkqr()

subroutine schkqr ( 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,
real, dimension( * )  A,
real, dimension( * )  AF,
real, dimension( * )  AQ,
real, dimension( * )  AR,
real, dimension( * )  AC,
real, dimension( * )  B,
real, dimension( * )  X,
real, dimension( * )  XACT,
real, dimension( * )  TAU,
real, dimension( * )  WORK,
real, dimension( * )  RWORK,
integer, dimension( * )  IWORK,
integer  NOUT 
)

SCHKQR

Purpose:
 SCHKQR tests SGEQRF, SORGQR and SORMQR.
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 REAL array, dimension (NMAX*NMAX)
[out]AF
          AF is REAL array, dimension (NMAX*NMAX)
[out]AQ
          AQ is REAL array, dimension (NMAX*NMAX)
[out]AR
          AR is REAL array, dimension (NMAX*NMAX)
[out]AC
          AC is REAL array, dimension (NMAX*NMAX)
[out]B
          B is REAL array, dimension (NMAX*NRHS)
[out]X
          X is REAL array, dimension (NMAX*NRHS)
[out]XACT
          XACT is REAL array, dimension (NMAX*NRHS)
[out]TAU
          TAU is REAL array, dimension (NMAX)
[out]WORK
          WORK is REAL 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 schkqr.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 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  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 Functions ..
243  LOGICAL SGENND
244  EXTERNAL sgennd
245 * ..
246 * .. External Subroutines ..
247  EXTERNAL alaerh, alahd, alasum, serrqr, sgeqrs, sget02,
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 ) = 'Single 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 serrqr( 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 SLATB4 and generate a test matrix
307 * with SLATMS.
308 *
309  CALL slatb4( path, imat, m, n, TYPE, KL, KU, ANORM, MODE,
310  $ CNDNUM, DIST )
311 *
312  srnamt = 'SLATMS'
313  CALL slatms( 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 SLATMS.
318 *
319  IF( info.NE.0 ) THEN
320  CALL alaerh( path, 'SLATMS', 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 SQRT01; other values are
327 * used in the calls of SQRT02, 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 SGEQRF
362 *
363  CALL sqrt01( m, n, a, af, aq, ar, lda, tau,
364  $ work, lwork, rwork, result( 1 ) )
365 *
366 * Test SGEQRFP
367 *
368  CALL sqrt01p( m, n, a, af, aq, ar, lda, tau,
369  $ work, lwork, rwork, result( 8 ) )
370 
371  IF( .NOT. sgennd( m, n, af, lda ) )
372  $ result( 9 ) = 2*thresh
373  nt = nt + 1
374  ELSE IF( m.GE.n ) THEN
375 *
376 * Test SORGQR, using factorization
377 * returned by SQRT01
378 *
379  CALL sqrt02( m, n, k, a, af, aq, ar, lda, tau,
380  $ work, lwork, rwork, result( 1 ) )
381  END IF
382  IF( m.GE.k ) THEN
383 *
384 * Test SORMQR, using factorization returned
385 * by SQRT01
386 *
387  CALL sqrt03( m, n, k, af, ac, ar, aq, lda, tau,
388  $ work, lwork, rwork, result( 3 ) )
389  nt = nt + 4
390 *
391 * If M>=N and K=N, call SGEQRS to solve a system
392 * with NRHS right hand sides and compute the
393 * residual.
394 *
395  IF( k.EQ.n .AND. inb.EQ.1 ) THEN
396 *
397 * Generate a solution and set the right
398 * hand side.
399 *
400  srnamt = 'SLARHS'
401  CALL slarhs( path, 'New', 'Full',
402  $ 'No transpose', m, n, 0, 0,
403  $ nrhs, a, lda, xact, lda, b, lda,
404  $ iseed, info )
405 *
406  CALL slacpy( 'Full', m, nrhs, b, lda, x,
407  $ lda )
408  srnamt = 'SGEQRS'
409  CALL sgeqrs( m, n, nrhs, af, lda, tau, x,
410  $ lda, work, lwork, info )
411 *
412 * Check error code from SGEQRS.
413 *
414  IF( info.NE.0 )
415  $ CALL alaerh( path, 'SGEQRS', info, 0, ' ',
416  $ m, n, nrhs, -1, nb, imat,
417  $ nfail, nerrs, nout )
418 *
419  CALL sget02( 'No transpose', m, n, nrhs, a,
420  $ lda, x, lda, b, lda, rwork,
421  $ result( 7 ) )
422  nt = nt + 1
423  END IF
424  END IF
425 *
426 * Print information about the tests that did not
427 * pass the threshold.
428 *
429  DO 20 i = 1, ntests
430  IF( result( i ).GE.thresh ) THEN
431  IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
432  $ CALL alahd( nout, path )
433  WRITE( nout, fmt = 9999 )m, n, k, nb, nx,
434  $ imat, i, result( i )
435  nfail = nfail + 1
436  END IF
437  20 CONTINUE
438  nrun = nrun + ntests
439  30 CONTINUE
440  40 CONTINUE
441  50 CONTINUE
442  60 CONTINUE
443  70 CONTINUE
444 *
445 * Print a summary of the results.
446 *
447  CALL alasum( path, nout, nfail, nrun, nerrs )
448 *
449  9999 FORMAT( ' M=', i5, ', N=', i5, ', K=', i5, ', NB=', i4, ', NX=',
450  $ i5, ', type ', i2, ', test(', i2, ')=', g12.5 )
451  RETURN
452 *
453 * End of SCHKQR
454 *
subroutine slacpy(UPLO, M, N, A, LDA, B, LDB)
SLACPY copies all or part of one two-dimensional array to another.
Definition: slacpy.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 slatms(M, N, DIST, ISEED, SYM, D, MODE, COND, DMAX, KL, KU, PACK, A, LDA, WORK, INFO)
SLATMS
Definition: slatms.f:321
subroutine sget02(TRANS, M, N, NRHS, A, LDA, X, LDX, B, LDB, RWORK, RESID)
SGET02
Definition: sget02.f:135
subroutine slarhs(PATH, XTYPE, UPLO, TRANS, M, N, KL, KU, NRHS, A, LDA, X, LDX, B, LDB, ISEED, INFO)
SLARHS
Definition: slarhs.f:205
subroutine slatb4(PATH, IMAT, M, N, TYPE, KL, KU, ANORM, MODE, CNDNUM, DIST)
SLATB4
Definition: slatb4.f:120
subroutine sqrt01p(M, N, A, AF, Q, R, LDA, TAU, WORK, LWORK, RWORK, RESULT)
SQRT01P
Definition: sqrt01p.f:126
logical function sgennd(M, N, A, LDA)
SGENND
Definition: sgennd.f:68
subroutine serrqr(PATH, NUNIT)
SERRQR
Definition: serrqr.f:55
subroutine sqrt02(M, N, K, A, AF, Q, R, LDA, TAU, WORK, LWORK, RWORK, RESULT)
SQRT02
Definition: sqrt02.f:135
subroutine sqrt01(M, N, A, AF, Q, R, LDA, TAU, WORK, LWORK, RWORK, RESULT)
SQRT01
Definition: sqrt01.f:126
subroutine sgeqrs(M, N, NRHS, A, LDA, TAU, B, LDB, WORK, LWORK, INFO)
SGEQRS
Definition: sgeqrs.f:121
subroutine sqrt03(M, N, K, AF, C, CC, Q, LDA, TAU, WORK, LWORK, RWORK, RESULT)
SQRT03
Definition: sqrt03.f:136
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