LAPACK  3.8.0
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.
Date
December 2016

Definition at line 203 of file schkqr.f.

203 *
204 * -- LAPACK test routine (version 3.7.0) --
205 * -- LAPACK is a software package provided by Univ. of Tennessee, --
206 * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
207 * December 2016
208 *
209 * .. Scalar Arguments ..
210  LOGICAL tsterr
211  INTEGER nm, nmax, nn, nnb, nout, nrhs
212  REAL thresh
213 * ..
214 * .. Array Arguments ..
215  LOGICAL dotype( * )
216  INTEGER iwork( * ), mval( * ), nbval( * ), nval( * ),
217  $ nxval( * )
218  REAL a( * ), ac( * ), af( * ), aq( * ), ar( * ),
219  $ b( * ), rwork( * ), tau( * ), work( * ),
220  $ x( * ), xact( * )
221 * ..
222 *
223 * =====================================================================
224 *
225 * .. Parameters ..
226  INTEGER ntests
227  parameter( ntests = 9 )
228  INTEGER ntypes
229  parameter( ntypes = 8 )
230  REAL zero
231  parameter( zero = 0.0e0 )
232 * ..
233 * .. Local Scalars ..
234  CHARACTER dist, type
235  CHARACTER*3 path
236  INTEGER i, ik, im, imat, in, inb, info, k, kl, ku, lda,
237  $ lwork, m, minmn, mode, n, nb, nerrs, nfail, nk,
238  $ nrun, nt, nx
239  REAL anorm, cndnum
240 * ..
241 * .. Local Arrays ..
242  INTEGER iseed( 4 ), iseedy( 4 ), kval( 4 )
243  REAL result( ntests )
244 * ..
245 * .. External Functions ..
246  LOGICAL sgennd
247  EXTERNAL sgennd
248 * ..
249 * .. External Subroutines ..
250  EXTERNAL alaerh, alahd, alasum, serrqr, sgeqrs, sget02,
253 * ..
254 * .. Intrinsic Functions ..
255  INTRINSIC max, min
256 * ..
257 * .. Scalars in Common ..
258  LOGICAL lerr, ok
259  CHARACTER*32 srnamt
260  INTEGER infot, nunit
261 * ..
262 * .. Common blocks ..
263  COMMON / infoc / infot, nunit, ok, lerr
264  COMMON / srnamc / srnamt
265 * ..
266 * .. Data statements ..
267  DATA iseedy / 1988, 1989, 1990, 1991 /
268 * ..
269 * .. Executable Statements ..
270 *
271 * Initialize constants and the random number seed.
272 *
273  path( 1: 1 ) = 'Single precision'
274  path( 2: 3 ) = 'QR'
275  nrun = 0
276  nfail = 0
277  nerrs = 0
278  DO 10 i = 1, 4
279  iseed( i ) = iseedy( i )
280  10 CONTINUE
281 *
282 * Test the error exits
283 *
284  IF( tsterr )
285  $ CALL serrqr( path, nout )
286  infot = 0
287  CALL xlaenv( 2, 2 )
288 *
289  lda = nmax
290  lwork = nmax*max( nmax, nrhs )
291 *
292 * Do for each value of M in MVAL.
293 *
294  DO 70 im = 1, nm
295  m = mval( im )
296 *
297 * Do for each value of N in NVAL.
298 *
299  DO 60 in = 1, nn
300  n = nval( in )
301  minmn = min( m, n )
302  DO 50 imat = 1, ntypes
303 *
304 * Do the tests only if DOTYPE( IMAT ) is true.
305 *
306  IF( .NOT.dotype( imat ) )
307  $ GO TO 50
308 *
309 * Set up parameters with SLATB4 and generate a test matrix
310 * with SLATMS.
311 *
312  CALL slatb4( path, imat, m, n, TYPE, kl, ku, anorm, mode,
313  $ cndnum, dist )
314 *
315  srnamt = 'SLATMS'
316  CALL slatms( m, n, dist, iseed, TYPE, rwork, mode,
317  $ cndnum, anorm, kl, ku, 'No packing', a, lda,
318  $ work, info )
319 *
320 * Check error code from SLATMS.
321 *
322  IF( info.NE.0 ) THEN
323  CALL alaerh( path, 'SLATMS', info, 0, ' ', m, n, -1,
324  $ -1, -1, imat, nfail, nerrs, nout )
325  GO TO 50
326  END IF
327 *
328 * Set some values for K: the first value must be MINMN,
329 * corresponding to the call of SQRT01; other values are
330 * used in the calls of SQRT02, and must not exceed MINMN.
331 *
332  kval( 1 ) = minmn
333  kval( 2 ) = 0
334  kval( 3 ) = 1
335  kval( 4 ) = minmn / 2
336  IF( minmn.EQ.0 ) THEN
337  nk = 1
338  ELSE IF( minmn.EQ.1 ) THEN
339  nk = 2
340  ELSE IF( minmn.LE.3 ) THEN
341  nk = 3
342  ELSE
343  nk = 4
344  END IF
345 *
346 * Do for each value of K in KVAL
347 *
348  DO 40 ik = 1, nk
349  k = kval( ik )
350 *
351 * Do for each pair of values (NB,NX) in NBVAL and NXVAL.
352 *
353  DO 30 inb = 1, nnb
354  nb = nbval( inb )
355  CALL xlaenv( 1, nb )
356  nx = nxval( inb )
357  CALL xlaenv( 3, nx )
358  DO i = 1, ntests
359  result( i ) = zero
360  END DO
361  nt = 2
362  IF( ik.EQ.1 ) THEN
363 *
364 * Test SGEQRF
365 *
366  CALL sqrt01( m, n, a, af, aq, ar, lda, tau,
367  $ work, lwork, rwork, result( 1 ) )
368 *
369 * Test SGEQRFP
370 *
371  CALL sqrt01p( m, n, a, af, aq, ar, lda, tau,
372  $ work, lwork, rwork, result( 8 ) )
373 
374  IF( .NOT. sgennd( m, n, af, lda ) )
375  $ result( 9 ) = 2*thresh
376  nt = nt + 1
377  ELSE IF( m.GE.n ) THEN
378 *
379 * Test SORGQR, using factorization
380 * returned by SQRT01
381 *
382  CALL sqrt02( m, n, k, a, af, aq, ar, lda, tau,
383  $ work, lwork, rwork, result( 1 ) )
384  END IF
385  IF( m.GE.k ) THEN
386 *
387 * Test SORMQR, using factorization returned
388 * by SQRT01
389 *
390  CALL sqrt03( m, n, k, af, ac, ar, aq, lda, tau,
391  $ work, lwork, rwork, result( 3 ) )
392  nt = nt + 4
393 *
394 * If M>=N and K=N, call SGEQRS to solve a system
395 * with NRHS right hand sides and compute the
396 * residual.
397 *
398  IF( k.EQ.n .AND. inb.EQ.1 ) THEN
399 *
400 * Generate a solution and set the right
401 * hand side.
402 *
403  srnamt = 'SLARHS'
404  CALL slarhs( path, 'New', 'Full',
405  $ 'No transpose', m, n, 0, 0,
406  $ nrhs, a, lda, xact, lda, b, lda,
407  $ iseed, info )
408 *
409  CALL slacpy( 'Full', m, nrhs, b, lda, x,
410  $ lda )
411  srnamt = 'SGEQRS'
412  CALL sgeqrs( m, n, nrhs, af, lda, tau, x,
413  $ lda, work, lwork, info )
414 *
415 * Check error code from SGEQRS.
416 *
417  IF( info.NE.0 )
418  $ CALL alaerh( path, 'SGEQRS', info, 0, ' ',
419  $ m, n, nrhs, -1, nb, imat,
420  $ nfail, nerrs, nout )
421 *
422  CALL sget02( 'No transpose', m, n, nrhs, a,
423  $ lda, x, lda, b, lda, rwork,
424  $ result( 7 ) )
425  nt = nt + 1
426  END IF
427  END IF
428 *
429 * Print information about the tests that did not
430 * pass the threshold.
431 *
432  DO 20 i = 1, ntests
433  IF( result( i ).GE.thresh ) THEN
434  IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
435  $ CALL alahd( nout, path )
436  WRITE( nout, fmt = 9999 )m, n, k, nb, nx,
437  $ imat, i, result( i )
438  nfail = nfail + 1
439  END IF
440  20 CONTINUE
441  nrun = nrun + ntests
442  30 CONTINUE
443  40 CONTINUE
444  50 CONTINUE
445  60 CONTINUE
446  70 CONTINUE
447 *
448 * Print a summary of the results.
449 *
450  CALL alasum( path, nout, nfail, nrun, nerrs )
451 *
452  9999 FORMAT( ' M=', i5, ', N=', i5, ', K=', i5, ', NB=', i4, ', NX=',
453  $ i5, ', type ', i2, ', test(', i2, ')=', g12.5 )
454  RETURN
455 *
456 * End of SCHKQR
457 *
subroutine alahd(IOUNIT, PATH)
ALAHD
Definition: alahd.f:107
subroutine sqrt03(M, N, K, AF, C, CC, Q, LDA, TAU, WORK, LWORK, RWORK, RESULT)
SQRT03
Definition: sqrt03.f:138
subroutine alaerh(PATH, SUBNAM, INFO, INFOE, OPTS, M, N, KL, KU, N5, IMAT, NFAIL, NERRS, NOUT)
ALAERH
Definition: alaerh.f:149
subroutine sqrt01(M, N, A, AF, Q, R, LDA, TAU, WORK, LWORK, RWORK, RESULT)
SQRT01
Definition: sqrt01.f:128
subroutine slatb4(PATH, IMAT, M, N, TYPE, KL, KU, ANORM, MODE, CNDNUM, DIST)
SLATB4
Definition: slatb4.f:122
subroutine serrqr(PATH, NUNIT)
SERRQR
Definition: serrqr.f:57
subroutine sqrt01p(M, N, A, AF, Q, R, LDA, TAU, WORK, LWORK, RWORK, RESULT)
SQRT01P
Definition: sqrt01p.f:128
subroutine xlaenv(ISPEC, NVALUE)
XLAENV
Definition: xlaenv.f:83
logical function sgennd(M, N, A, LDA)
SGENND
Definition: sgennd.f:70
subroutine slatms(M, N, DIST, ISEED, SYM, D, MODE, COND, DMAX, KL, KU, PACK, A, LDA, WORK, INFO)
SLATMS
Definition: slatms.f:323
subroutine sget02(TRANS, M, N, NRHS, A, LDA, X, LDX, B, LDB, RWORK, RESID)
SGET02
Definition: sget02.f:135
subroutine sgeqrs(M, N, NRHS, A, LDA, TAU, B, LDB, WORK, LWORK, INFO)
SGEQRS
Definition: sgeqrs.f:123
subroutine slacpy(UPLO, M, N, A, LDA, B, LDB)
SLACPY copies all or part of one two-dimensional array to another.
Definition: slacpy.f:105
subroutine slarhs(PATH, XTYPE, UPLO, TRANS, M, N, KL, KU, NRHS, A, LDA, X, LDX, B, LDB, ISEED, INFO)
SLARHS
Definition: slarhs.f:206
subroutine sqrt02(M, N, K, A, AF, Q, R, LDA, TAU, WORK, LWORK, RWORK, RESULT)
SQRT02
Definition: sqrt02.f:137
subroutine alasum(TYPE, NOUT, NFAIL, NRUN, NERRS)
ALASUM
Definition: alasum.f:75
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