 LAPACK 3.11.0 LAPACK: Linear Algebra PACKage
Searching...
No Matches

## ◆ dckgqr()

 subroutine dckgqr ( integer NM, integer, dimension( * ) MVAL, integer NP, integer, dimension( * ) PVAL, integer NN, integer, dimension( * ) NVAL, integer NMATS, integer, dimension( 4 ) ISEED, double precision THRESH, integer NMAX, double precision, dimension( * ) A, double precision, dimension( * ) AF, double precision, dimension( * ) AQ, double precision, dimension( * ) AR, double precision, dimension( * ) TAUA, double precision, dimension( * ) B, double precision, dimension( * ) BF, double precision, dimension( * ) BZ, double precision, dimension( * ) BT, double precision, dimension( * ) BWK, double precision, dimension( * ) TAUB, double precision, dimension( * ) WORK, double precision, dimension( * ) RWORK, integer NIN, integer NOUT, integer INFO )

DCKGQR

Purpose:
``` DCKGQR tests
DGGQRF: GQR factorization for N-by-M matrix A and N-by-P matrix B,
DGGRQF: GRQ factorization for M-by-N matrix A and P-by-N matrix B.```
Parameters
 [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(column) dimension M.``` [in] NP ``` NP is INTEGER The number of values of P contained in the vector PVAL.``` [in] PVAL ``` PVAL is INTEGER array, dimension (NP) The values of the matrix row(column) dimension P.``` [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(row) dimension N.``` [in] NMATS ``` NMATS is INTEGER The number of matrix types to be tested for each combination of matrix dimensions. If NMATS >= NTYPES (the maximum number of matrix types), then all the different types are generated for testing. If NMATS < NTYPES, another input line is read to get the numbers of the matrix types to be used.``` [in,out] ISEED ``` ISEED is INTEGER array, dimension (4) On entry, the seed of the random number generator. The array elements should be between 0 and 4095, otherwise they will be reduced mod 4096, and ISEED(4) must be odd. On exit, the next seed in the random number sequence after all the test matrices have been generated.``` [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] 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] TAUA ` TAUA is DOUBLE PRECISION array, dimension (NMAX)` [out] B ` B is DOUBLE PRECISION array, dimension (NMAX*NMAX)` [out] BF ` BF is DOUBLE PRECISION array, dimension (NMAX*NMAX)` [out] BZ ` BZ is DOUBLE PRECISION array, dimension (NMAX*NMAX)` [out] BT ` BT is DOUBLE PRECISION array, dimension (NMAX*NMAX)` [out] BWK ` BWK is DOUBLE PRECISION array, dimension (NMAX*NMAX)` [out] TAUB ` TAUB 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] NIN ``` NIN is INTEGER The unit number for input.``` [in] NOUT ``` NOUT is INTEGER The unit number for output.``` [out] INFO ``` INFO is INTEGER = 0 : successful exit > 0 : If DLATMS returns an error code, the absolute value of it is returned.```

Definition at line 207 of file dckgqr.f.

210*
211* -- LAPACK test routine --
212* -- LAPACK is a software package provided by Univ. of Tennessee, --
213* -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
214*
215* .. Scalar Arguments ..
216 INTEGER INFO, NIN, NM, NMATS, NMAX, NN, NOUT, NP
217 DOUBLE PRECISION THRESH
218* ..
219* .. Array Arguments ..
220 INTEGER ISEED( 4 ), MVAL( * ), NVAL( * ), PVAL( * )
221 DOUBLE PRECISION A( * ), AF( * ), AQ( * ), AR( * ), B( * ),
222 \$ BF( * ), BT( * ), BWK( * ), BZ( * ),
223 \$ RWORK( * ), TAUA( * ), TAUB( * ), WORK( * )
224* ..
225*
226* =====================================================================
227*
228* .. Parameters ..
229 INTEGER NTESTS
230 parameter( ntests = 7 )
231 INTEGER NTYPES
232 parameter( ntypes = 8 )
233* ..
234* .. Local Scalars ..
235 LOGICAL FIRSTT
236 CHARACTER DISTA, DISTB, TYPE
237 CHARACTER*3 PATH
238 INTEGER I, IINFO, IM, IMAT, IN, IP, KLA, KLB, KUA, KUB,
239 \$ LDA, LDB, LWORK, M, MODEA, MODEB, N, NFAIL,
240 \$ NRUN, NT, P
241 DOUBLE PRECISION ANORM, BNORM, CNDNMA, CNDNMB
242* ..
243* .. Local Arrays ..
244 LOGICAL DOTYPE( NTYPES )
245 DOUBLE PRECISION RESULT( NTESTS )
246* ..
247* .. External Subroutines ..
248 EXTERNAL alahdg, alareq, alasum, dgqrts, dgrqts, dlatb9,
249 \$ dlatms
250* ..
251* .. Intrinsic Functions ..
252 INTRINSIC abs
253* ..
254* .. Executable Statements ..
255*
256* Initialize constants.
257*
258 path( 1: 3 ) = 'GQR'
259 info = 0
260 nrun = 0
261 nfail = 0
262 firstt = .true.
263 CALL alareq( path, nmats, dotype, ntypes, nin, nout )
264 lda = nmax
265 ldb = nmax
266 lwork = nmax*nmax
267*
268* Do for each value of M in MVAL.
269*
270 DO 60 im = 1, nm
271 m = mval( im )
272*
273* Do for each value of P in PVAL.
274*
275 DO 50 ip = 1, np
276 p = pval( ip )
277*
278* Do for each value of N in NVAL.
279*
280 DO 40 in = 1, nn
281 n = nval( in )
282*
283 DO 30 imat = 1, ntypes
284*
285* Do the tests only if DOTYPE( IMAT ) is true.
286*
287 IF( .NOT.dotype( imat ) )
288 \$ GO TO 30
289*
290* Test DGGRQF
291*
292* Set up parameters with DLATB9 and generate test
293* matrices A and B with DLATMS.
294*
295 CALL dlatb9( 'GRQ', imat, m, p, n, TYPE, KLA, KUA,
296 \$ KLB, KUB, ANORM, BNORM, MODEA, MODEB,
297 \$ CNDNMA, CNDNMB, DISTA, DISTB )
298*
299* Generate M by N matrix A
300*
301 CALL dlatms( m, n, dista, iseed, TYPE, RWORK, MODEA,
302 \$ CNDNMA, ANORM, KLA, KUA, 'No packing', A,
303 \$ LDA, WORK, IINFO )
304 IF( iinfo.NE.0 ) THEN
305 WRITE( nout, fmt = 9999 )iinfo
306 info = abs( iinfo )
307 GO TO 30
308 END IF
309*
310* Generate P by N matrix B
311*
312 CALL dlatms( p, n, distb, iseed, TYPE, RWORK, MODEB,
313 \$ CNDNMB, BNORM, KLB, KUB, 'No packing', B,
314 \$ LDB, WORK, IINFO )
315 IF( iinfo.NE.0 ) THEN
316 WRITE( nout, fmt = 9999 )iinfo
317 info = abs( iinfo )
318 GO TO 30
319 END IF
320*
321 nt = 4
322*
323 CALL dgrqts( m, p, n, a, af, aq, ar, lda, taua, b, bf,
324 \$ bz, bt, bwk, ldb, taub, work, lwork,
325 \$ rwork, result )
326*
327* Print information about the tests that did not
328* pass the threshold.
329*
330 DO 10 i = 1, nt
331 IF( result( i ).GE.thresh ) THEN
332 IF( nfail.EQ.0 .AND. firstt ) THEN
333 firstt = .false.
334 CALL alahdg( nout, 'GRQ' )
335 END IF
336 WRITE( nout, fmt = 9998 )m, p, n, imat, i,
337 \$ result( i )
338 nfail = nfail + 1
339 END IF
340 10 CONTINUE
341 nrun = nrun + nt
342*
343* Test DGGQRF
344*
345* Set up parameters with DLATB9 and generate test
346* matrices A and B with DLATMS.
347*
348 CALL dlatb9( 'GQR', imat, m, p, n, TYPE, KLA, KUA,
349 \$ KLB, KUB, ANORM, BNORM, MODEA, MODEB,
350 \$ CNDNMA, CNDNMB, DISTA, DISTB )
351*
352* Generate N-by-M matrix A
353*
354 CALL dlatms( n, m, dista, iseed, TYPE, RWORK, MODEA,
355 \$ CNDNMA, ANORM, KLA, KUA, 'No packing', A,
356 \$ LDA, WORK, IINFO )
357 IF( iinfo.NE.0 ) THEN
358 WRITE( nout, fmt = 9999 )iinfo
359 info = abs( iinfo )
360 GO TO 30
361 END IF
362*
363* Generate N-by-P matrix B
364*
365 CALL dlatms( n, p, distb, iseed, TYPE, RWORK, MODEA,
366 \$ CNDNMA, BNORM, KLB, KUB, 'No packing', B,
367 \$ LDB, WORK, IINFO )
368 IF( iinfo.NE.0 ) THEN
369 WRITE( nout, fmt = 9999 )iinfo
370 info = abs( iinfo )
371 GO TO 30
372 END IF
373*
374 nt = 4
375*
376 CALL dgqrts( n, m, p, a, af, aq, ar, lda, taua, b, bf,
377 \$ bz, bt, bwk, ldb, taub, work, lwork,
378 \$ rwork, result )
379*
380* Print information about the tests that did not
381* pass the threshold.
382*
383 DO 20 i = 1, nt
384 IF( result( i ).GE.thresh ) THEN
385 IF( nfail.EQ.0 .AND. firstt ) THEN
386 firstt = .false.
387 CALL alahdg( nout, path )
388 END IF
389 WRITE( nout, fmt = 9997 )n, m, p, imat, i,
390 \$ result( i )
391 nfail = nfail + 1
392 END IF
393 20 CONTINUE
394 nrun = nrun + nt
395*
396 30 CONTINUE
397 40 CONTINUE
398 50 CONTINUE
399 60 CONTINUE
400*
401* Print a summary of the results.
402*
403 CALL alasum( path, nout, nfail, nrun, 0 )
404*
405 9999 FORMAT( ' DLATMS in DCKGQR: INFO = ', i5 )
406 9998 FORMAT( ' M=', i4, ' P=', i4, ', N=', i4, ', type ', i2,
407 \$ ', test ', i2, ', ratio=', g13.6 )
408 9997 FORMAT( ' N=', i4, ' M=', i4, ', P=', i4, ', type ', i2,
409 \$ ', test ', i2, ', ratio=', g13.6 )
410 RETURN
411*
412* End of DCKGQR
413*
subroutine alareq(PATH, NMATS, DOTYPE, NTYPES, NIN, NOUT)
ALAREQ
Definition: alareq.f:90
subroutine alahdg(IOUNIT, PATH)
ALAHDG
Definition: alahdg.f:62
subroutine alasum(TYPE, NOUT, NFAIL, NRUN, NERRS)
ALASUM
Definition: alasum.f:73
subroutine dgqrts(N, M, P, A, AF, Q, R, LDA, TAUA, B, BF, Z, T, BWK, LDB, TAUB, WORK, LWORK, RWORK, RESULT)
DGQRTS
Definition: dgqrts.f:176
subroutine dgrqts(M, P, N, A, AF, Q, R, LDA, TAUA, B, BF, Z, T, BWK, LDB, TAUB, WORK, LWORK, RWORK, RESULT)
DGRQTS
Definition: dgrqts.f:176
subroutine dlatb9(PATH, IMAT, M, P, N, TYPE, KLA, KUA, KLB, KUB, ANORM, BNORM, MODEA, MODEB, CNDNMA, CNDNMB, DISTA, DISTB)
DLATB9
Definition: dlatb9.f:170
subroutine dlatms(M, N, DIST, ISEED, SYM, D, MODE, COND, DMAX, KL, KU, PACK, A, LDA, WORK, INFO)
DLATMS
Definition: dlatms.f:321
Here is the call graph for this function:
Here is the caller graph for this function: