LAPACK 3.12.0
LAPACK: Linear Algebra PACKage
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◆ schklq()

subroutine schklq ( 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( * )  al,
real, dimension( * )  ac,
real, dimension( * )  b,
real, dimension( * )  x,
real, dimension( * )  xact,
real, dimension( * )  tau,
real, dimension( * )  work,
real, dimension( * )  rwork,
integer  nout 
)

SCHKLQ

Purpose:
 SCHKLQ tests SGELQF, SORGLQ and SORMLQ.
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]AL
          AL 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)
[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 193 of file schklq.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 A( * ), AC( * ), AF( * ), AL( * ), AQ( * ),
211 $ B( * ), RWORK( * ), TAU( * ), WORK( * ),
212 $ 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, serrlq, sget02,
239 $ slacpy, slarhs, slatb4, slatms, slqt01, slqt02,
240 $ slqt03, 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 ) = 'Single precision'
262 path( 2: 3 ) = 'LQ'
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 serrlq( 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 SLATB4 and generate a test matrix
298* with SLATMS.
299*
300 CALL slatb4( path, imat, m, n, TYPE, KL, KU, ANORM, MODE,
301 $ CNDNUM, DIST )
302*
303 srnamt = 'SLATMS'
304 CALL slatms( 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 SLATMS.
309*
310 IF( info.NE.0 ) THEN
311 CALL alaerh( path, 'SLATMS', 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 SLQT01; other values are
318* used in the calls of SLQT02, 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 SGELQF
353*
354 CALL slqt01( m, n, a, af, aq, al, lda, tau,
355 $ work, lwork, rwork, result( 1 ) )
356 ELSE IF( m.LE.n ) THEN
357*
358* Test SORGLQ, using factorization
359* returned by SLQT01
360*
361 CALL slqt02( 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 SORMLQ, using factorization returned
367* by SLQT01
368*
369 CALL slqt03( 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=M, call SGELS to solve a system
374* with NRHS right hand sides and compute the
375* residual.
376*
377 IF( k.EQ.m .AND. inb.EQ.1 ) THEN
378*
379* Generate a solution and set the right
380* hand side.
381*
382 srnamt = 'SLARHS'
383 CALL slarhs( path, 'New', 'Full',
384 $ 'No transpose', m, n, 0, 0,
385 $ nrhs, a, lda, xact, lda, b, lda,
386 $ iseed, info )
387*
388 CALL slacpy( 'Full', m, nrhs, b, lda, x,
389 $ lda )
390*
391* Reset AF to the original matrix. SGELS
392* factors the matrix before solving the system.
393*
394 CALL slacpy( 'Full', m, n, a, lda, af, lda )
395*
396 srnamt = 'SGELS'
397 CALL sgels( 'No transpose', m, n, nrhs, af,
398 $ lda, x, lda, work, lwork, info )
399*
400* Check error code from SGELS.
401*
402 IF( info.NE.0 )
403 $ CALL alaerh( path, 'SGELS', info, 0, 'N',
404 $ m, n, nrhs, -1, nb, imat,
405 $ nfail, nerrs, nout )
406*
407 CALL sget02( 'No transpose', m, n, nrhs, a,
408 $ lda, x, lda, b, lda, rwork,
409 $ result( 7 ) )
410 nt = nt + 1
411 END IF
412 END IF
413*
414* Print information about the tests that did not
415* pass the threshold.
416*
417 DO 20 i = 1, nt
418 IF( result( i ).GE.thresh ) THEN
419 IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
420 $ CALL alahd( nout, path )
421 WRITE( nout, fmt = 9999 )m, n, k, nb, nx,
422 $ imat, i, result( i )
423 nfail = nfail + 1
424 END IF
425 20 CONTINUE
426 nrun = nrun + nt
427 30 CONTINUE
428 40 CONTINUE
429 50 CONTINUE
430 60 CONTINUE
431 70 CONTINUE
432*
433* Print a summary of the results.
434*
435 CALL alasum( path, nout, nfail, nrun, nerrs )
436*
437 9999 FORMAT( ' M=', i5, ', N=', i5, ', K=', i5, ', NB=', i4, ', NX=',
438 $ i5, ', type ', i2, ', test(', i2, ')=', g12.5 )
439 RETURN
440*
441* End of SCHKLQ
442*
alasum
subroutine alasum(type, nout, nfail, nrun, nerrs)
ALASUM
Definition alasum.f:73
sget02
subroutine sget02(trans, m, n, nrhs, a, lda, x, ldx, b, ldb, rwork, resid)
SGET02
Definition sget02.f:135
slarhs
subroutine slarhs(path, xtype, uplo, trans, m, n, kl, ku, nrhs, a, lda, x, ldx, b, ldb, iseed, info)
SLARHS
Definition slarhs.f:205
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
sgels
subroutine sgels(trans, m, n, nrhs, a, lda, b, ldb, work, lwork, info)
SGELS solves overdetermined or underdetermined systems for GE matrices
Definition sgels.f:183
slacpy
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
serrlq
subroutine serrlq(path, nunit)
SERRLQ
Definition serrlq.f:55
slatb4
subroutine slatb4(path, imat, m, n, type, kl, ku, anorm, mode, cndnum, dist)
SLATB4
Definition slatb4.f:120
slatms
subroutine slatms(m, n, dist, iseed, sym, d, mode, cond, dmax, kl, ku, pack, a, lda, work, info)
SLATMS
Definition slatms.f:321
slqt01
subroutine slqt01(m, n, a, af, q, l, lda, tau, work, lwork, rwork, result)
SLQT01
Definition slqt01.f:126
slqt02
subroutine slqt02(m, n, k, a, af, q, l, lda, tau, work, lwork, rwork, result)
SLQT02
Definition slqt02.f:135
slqt03
subroutine slqt03(m, n, k, af, c, cc, q, lda, tau, work, lwork, rwork, result)
SLQT03
Definition slqt03.f:136
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