 LAPACK 3.11.0 LAPACK: Linear Algebra PACKage
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## ◆ dchklq()

 subroutine dchklq ( 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( * ) AL, 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 NOUT )

DCHKLQ

Purpose:
` DCHKLQ tests DGELQF, DORGLQ and DORMLQ.`
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] AL ` AL 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)` [in] NOUT ``` NOUT is INTEGER The unit number for output.```

Definition at line 193 of file dchklq.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 DOUBLE PRECISION THRESH
205* ..
206* .. Array Arguments ..
207 LOGICAL DOTYPE( * )
208 INTEGER MVAL( * ), NBVAL( * ), NVAL( * ),
209 \$ NXVAL( * )
210 DOUBLE PRECISION 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 DOUBLE PRECISION ZERO
223 parameter( zero = 0.0d0 )
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 DOUBLE PRECISION ANORM, CNDNUM
232* ..
233* .. Local Arrays ..
234 INTEGER ISEED( 4 ), ISEEDY( 4 ), KVAL( 4 )
235 DOUBLE PRECISION RESULT( NTESTS )
236* ..
237* .. External Subroutines ..
238 EXTERNAL alaerh, alahd, alasum, derrlq, dgelqs, dget02,
240 \$ dlqt03, 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 ) = 'Double 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 derrlq( 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 DLATB4 and generate a test matrix
298* with DLATMS.
299*
300 CALL dlatb4( path, imat, m, n, TYPE, KL, KU, ANORM, MODE,
301 \$ CNDNUM, DIST )
302*
303 srnamt = 'DLATMS'
304 CALL dlatms( 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 DLATMS.
309*
310 IF( info.NE.0 ) THEN
311 CALL alaerh( path, 'DLATMS', 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 DLQT01; other values are
318* used in the calls of DLQT02, 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 DGELQF
353*
354 CALL dlqt01( m, n, a, af, aq, al, lda, tau,
355 \$ work, lwork, rwork, result( 1 ) )
356 ELSE IF( m.LE.n ) THEN
357*
358* Test DORGLQ, using factorization
359* returned by DLQT01
360*
361 CALL dlqt02( m, n, k, a, af, aq, al, lda, tau,
362 \$ work, lwork, rwork, result( 1 ) )
363 ELSE
364 result( 1 ) = zero
365 result( 2 ) = zero
366 END IF
367 IF( m.GE.k ) THEN
368*
369* Test DORMLQ, using factorization returned
370* by DLQT01
371*
372 CALL dlqt03( m, n, k, af, ac, al, aq, lda, tau,
373 \$ work, lwork, rwork, result( 3 ) )
374 nt = nt + 4
375*
376* If M>=N and K=N, call DGELQS to solve a system
377* with NRHS right hand sides and compute the
378* residual.
379*
380 IF( k.EQ.m .AND. inb.EQ.1 ) THEN
381*
382* Generate a solution and set the right
383* hand side.
384*
385 srnamt = 'DLARHS'
386 CALL dlarhs( path, 'New', 'Full',
387 \$ 'No transpose', m, n, 0, 0,
388 \$ nrhs, a, lda, xact, lda, b, lda,
389 \$ iseed, info )
390*
391 CALL dlacpy( 'Full', m, nrhs, b, lda, x,
392 \$ lda )
393 srnamt = 'DGELQS'
394 CALL dgelqs( m, n, nrhs, af, lda, tau, x,
395 \$ lda, work, lwork, info )
396*
397* Check error code from DGELQS.
398*
399 IF( info.NE.0 )
400 \$ CALL alaerh( path, 'DGELQS', info, 0, ' ',
401 \$ m, n, nrhs, -1, nb, imat,
402 \$ nfail, nerrs, nout )
403*
404 CALL dget02( 'No transpose', m, n, nrhs, a,
405 \$ lda, x, lda, b, lda, rwork,
406 \$ result( 7 ) )
407 nt = nt + 1
408 ELSE
409 result( 7 ) = zero
410 END IF
411 ELSE
412 result( 3 ) = zero
413 result( 4 ) = zero
414 result( 5 ) = zero
415 result( 6 ) = zero
416 END IF
417*
418* Print information about the tests that did not
419* pass the threshold.
420*
421 DO 20 i = 1, nt
422 IF( result( i ).GE.thresh ) THEN
423 IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
424 \$ CALL alahd( nout, path )
425 WRITE( nout, fmt = 9999 )m, n, k, nb, nx,
426 \$ imat, i, result( i )
427 nfail = nfail + 1
428 END IF
429 20 CONTINUE
430 nrun = nrun + nt
431 30 CONTINUE
432 40 CONTINUE
433 50 CONTINUE
434 60 CONTINUE
435 70 CONTINUE
436*
437* Print a summary of the results.
438*
439 CALL alasum( path, nout, nfail, nrun, nerrs )
440*
441 9999 FORMAT( ' M=', i5, ', N=', i5, ', K=', i5, ', NB=', i4, ', NX=',
442 \$ i5, ', type ', i2, ', test(', i2, ')=', g12.5 )
443 RETURN
444*
445* End of DCHKLQ
446*
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 dlqt01(M, N, A, AF, Q, L, LDA, TAU, WORK, LWORK, RWORK, RESULT)
DLQT01
Definition: dlqt01.f:126
subroutine derrlq(PATH, NUNIT)
DERRLQ
Definition: derrlq.f:55
subroutine dlqt03(M, N, K, AF, C, CC, Q, LDA, TAU, WORK, LWORK, RWORK, RESULT)
DLQT03
Definition: dlqt03.f:136
subroutine dlatb4(PATH, IMAT, M, N, TYPE, KL, KU, ANORM, MODE, CNDNUM, DIST)
DLATB4
Definition: dlatb4.f:120
subroutine dlqt02(M, N, K, A, AF, Q, L, LDA, TAU, WORK, LWORK, RWORK, RESULT)
DLQT02
Definition: dlqt02.f:135
subroutine dgelqs(M, N, NRHS, A, LDA, TAU, B, LDB, WORK, LWORK, INFO)
DGELQS
Definition: dgelqs.f:121
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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