 LAPACK  3.10.0 LAPACK: Linear Algebra PACKage

## ◆ sckgqr()

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

SCKGQR

Purpose:
``` SCKGQR tests
SGGQRF: GQR factorization for N-by-M matrix A and N-by-P matrix B,
SGGRQF: 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 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] 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] TAUA ` TAUA is REAL array, dimension (NMAX)` [out] B ` B is REAL array, dimension (NMAX*NMAX)` [out] BF ` BF is REAL array, dimension (NMAX*NMAX)` [out] BZ ` BZ is REAL array, dimension (NMAX*NMAX)` [out] BT ` BT is REAL array, dimension (NMAX*NMAX)` [out] BWK ` BWK is REAL array, dimension (NMAX*NMAX)` [out] TAUB ` TAUB is REAL array, dimension (NMAX)` [out] WORK ` WORK is REAL array, dimension (NMAX*NMAX)` [out] RWORK ` RWORK is REAL 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 SLATMS returns an error code, the absolute value of it is returned.```

Definition at line 207 of file sckgqr.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  REAL THRESH
218 * ..
219 * .. Array Arguments ..
220  INTEGER ISEED( 4 ), MVAL( * ), NVAL( * ), PVAL( * )
221  REAL 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  REAL ANORM, BNORM, CNDNMA, CNDNMB
242 * ..
243 * .. Local Arrays ..
244  LOGICAL DOTYPE( NTYPES )
245  REAL RESULT( NTESTS )
246 * ..
247 * .. External Subroutines ..
248  EXTERNAL alahdg, alareq, alasum, sgqrts, sgrqts, slatb9,
249  \$ slatms
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 SGGRQF
291 *
292 * Set up parameters with SLATB9 and generate test
293 * matrices A and B with SLATMS.
294 *
295  CALL slatb9( '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 slatms( 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 slatms( 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 sgrqts( 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 SGGQRF
344 *
345 * Set up parameters with SLATB9 and generate test
346 * matrices A and B with SLATMS.
347 *
348  CALL slatb9( '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 slatms( 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 slatms( 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 sgqrts( 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( ' SLATMS in SCKGQR: 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 SCKGQR
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 slatms(M, N, DIST, ISEED, SYM, D, MODE, COND, DMAX, KL, KU, PACK, A, LDA, WORK, INFO)
SLATMS
Definition: slatms.f:321
subroutine sgrqts(M, P, N, A, AF, Q, R, LDA, TAUA, B, BF, Z, T, BWK, LDB, TAUB, WORK, LWORK, RWORK, RESULT)
SGRQTS
Definition: sgrqts.f:177
subroutine sgqrts(N, M, P, A, AF, Q, R, LDA, TAUA, B, BF, Z, T, BWK, LDB, TAUB, WORK, LWORK, RWORK, RESULT)
SGQRTS
Definition: sgqrts.f:176
subroutine slatb9(PATH, IMAT, M, P, N, TYPE, KLA, KUA, KLB, KUB, ANORM, BNORM, MODEA, MODEB, CNDNMA, CNDNMB, DISTA, DISTB)
SLATB9
Definition: slatb9.f:170
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