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

 subroutine dchkrq ( 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 )

DCHKRQ

Purpose:
` DCHKRQ tests DGERQF, DORGRQ and DORMRQ.`
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.```

Definition at line 198 of file dchkrq.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 = 7 )
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 Subroutines ..
243 EXTERNAL alaerh, alahd, alasum, derrrq, dgerqs, dget02,
245 \$ drqt03, xlaenv
246* ..
247* .. Intrinsic Functions ..
248 INTRINSIC max, min
249* ..
250* .. Scalars in Common ..
251 LOGICAL LERR, OK
252 CHARACTER*32 SRNAMT
253 INTEGER INFOT, NUNIT
254* ..
255* .. Common blocks ..
256 COMMON / infoc / infot, nunit, ok, lerr
257 COMMON / srnamc / srnamt
258* ..
259* .. Data statements ..
260 DATA iseedy / 1988, 1989, 1990, 1991 /
261* ..
262* .. Executable Statements ..
263*
264* Initialize constants and the random number seed.
265*
266 path( 1: 1 ) = 'Double precision'
267 path( 2: 3 ) = 'RQ'
268 nrun = 0
269 nfail = 0
270 nerrs = 0
271 DO 10 i = 1, 4
272 iseed( i ) = iseedy( i )
273 10 CONTINUE
274*
275* Test the error exits
276*
277 IF( tsterr )
278 \$ CALL derrrq( path, nout )
279 infot = 0
280 CALL xlaenv( 2, 2 )
281*
282 lda = nmax
283 lwork = nmax*max( nmax, nrhs )
284*
285* Do for each value of M in MVAL.
286*
287 DO 70 im = 1, nm
288 m = mval( im )
289*
290* Do for each value of N in NVAL.
291*
292 DO 60 in = 1, nn
293 n = nval( in )
294 minmn = min( m, n )
295 DO 50 imat = 1, ntypes
296*
297* Do the tests only if DOTYPE( IMAT ) is true.
298*
299 IF( .NOT.dotype( imat ) )
300 \$ GO TO 50
301*
302* Set up parameters with DLATB4 and generate a test matrix
303* with DLATMS.
304*
305 CALL dlatb4( path, imat, m, n, TYPE, KL, KU, ANORM, MODE,
306 \$ CNDNUM, DIST )
307*
308 srnamt = 'DLATMS'
309 CALL dlatms( m, n, dist, iseed, TYPE, RWORK, MODE,
310 \$ CNDNUM, ANORM, KL, KU, 'No packing', A, LDA,
311 \$ WORK, INFO )
312*
313* Check error code from DLATMS.
314*
315 IF( info.NE.0 ) THEN
316 CALL alaerh( path, 'DLATMS', info, 0, ' ', m, n, -1,
317 \$ -1, -1, imat, nfail, nerrs, nout )
318 GO TO 50
319 END IF
320*
321* Set some values for K: the first value must be MINMN,
322* corresponding to the call of DRQT01; other values are
323* used in the calls of DRQT02, and must not exceed MINMN.
324*
325 kval( 1 ) = minmn
326 kval( 2 ) = 0
327 kval( 3 ) = 1
328 kval( 4 ) = minmn / 2
329 IF( minmn.EQ.0 ) THEN
330 nk = 1
331 ELSE IF( minmn.EQ.1 ) THEN
332 nk = 2
333 ELSE IF( minmn.LE.3 ) THEN
334 nk = 3
335 ELSE
336 nk = 4
337 END IF
338*
339* Do for each value of K in KVAL
340*
341 DO 40 ik = 1, nk
342 k = kval( ik )
343*
344* Do for each pair of values (NB,NX) in NBVAL and NXVAL.
345*
346 DO 30 inb = 1, nnb
347 nb = nbval( inb )
348 CALL xlaenv( 1, nb )
349 nx = nxval( inb )
350 CALL xlaenv( 3, nx )
351 DO i = 1, ntests
352 result( i ) = zero
353 END DO
354 nt = 2
355 IF( ik.EQ.1 ) THEN
356*
357* Test DGERQF
358*
359 CALL drqt01( m, n, a, af, aq, ar, lda, tau,
360 \$ work, lwork, rwork, result( 1 ) )
361 ELSE IF( m.LE.n ) THEN
362*
363* Test DORGRQ, using factorization
364* returned by DRQT01
365*
366 CALL drqt02( m, n, k, a, af, aq, ar, lda, tau,
367 \$ work, lwork, rwork, result( 1 ) )
368
369 END IF
370 IF( m.GE.k ) THEN
371*
372* Test DORMRQ, using factorization returned
373* by DRQT01
374*
375 CALL drqt03( m, n, k, af, ac, ar, aq, lda, tau,
376 \$ work, lwork, rwork, result( 3 ) )
377 nt = nt + 4
378*
379* If M>=N and K=N, call DGERQS to solve a system
380* with NRHS right hand sides and compute the
381* residual.
382*
383 IF( k.EQ.m .AND. inb.EQ.1 ) THEN
384*
385* Generate a solution and set the right
386* hand side.
387*
388 srnamt = 'DLARHS'
389 CALL dlarhs( path, 'New', 'Full',
390 \$ 'No transpose', m, n, 0, 0,
391 \$ nrhs, a, lda, xact, lda, b, lda,
392 \$ iseed, info )
393*
394 CALL dlacpy( 'Full', m, nrhs, b, lda,
395 \$ x( n-m+1 ), lda )
396 srnamt = 'DGERQS'
397 CALL dgerqs( m, n, nrhs, af, lda, tau, x,
398 \$ lda, work, lwork, info )
399*
400* Check error code from DGERQS.
401*
402 IF( info.NE.0 )
403 \$ CALL alaerh( path, 'DGERQS', info, 0, ' ',
404 \$ m, n, nrhs, -1, nb, imat,
405 \$ nfail, nerrs, nout )
406*
407 CALL dget02( '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 DCHKRQ
442*
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 drqt02(M, N, K, A, AF, Q, R, LDA, TAU, WORK, LWORK, RWORK, RESULT)
DRQT02
Definition: drqt02.f:136
subroutine derrrq(PATH, NUNIT)
DERRRQ
Definition: derrrq.f:55
subroutine drqt03(M, N, K, AF, C, CC, Q, LDA, TAU, WORK, LWORK, RWORK, RESULT)
DRQT03
Definition: drqt03.f:136
subroutine dlatb4(PATH, IMAT, M, N, TYPE, KL, KU, ANORM, MODE, CNDNUM, DIST)
DLATB4
Definition: dlatb4.f:120
subroutine drqt01(M, N, A, AF, Q, R, LDA, TAU, WORK, LWORK, RWORK, RESULT)
DRQT01
Definition: drqt01.f:126
subroutine dgerqs(M, N, NRHS, A, LDA, TAU, B, LDB, WORK, LWORK, INFO)
DGERQS
Definition: dgerqs.f:122
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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