1*> \brief \b DCHKQL
2*
3*  =========== DOCUMENTATION ===========
4*
5* Online html documentation available at
6*            http://www.netlib.org/lapack/explore-html/
7*
8*  Definition:
9*  ===========
10*
11*       SUBROUTINE DCHKQL( DOTYPE, NM, MVAL, NN, NVAL, NNB, NBVAL, NXVAL,
12*                          NRHS, THRESH, TSTERR, NMAX, A, AF, AQ, AL, AC,
13*                          B, X, XACT, TAU, WORK, RWORK, IWORK, NOUT )
14*
15*       .. Scalar Arguments ..
16*       LOGICAL            TSTERR
17*       INTEGER            NM, NMAX, NN, NNB, NOUT, NRHS
18*       DOUBLE PRECISION   THRESH
19*       ..
20*       .. Array Arguments ..
21*       LOGICAL            DOTYPE( * )
22*       INTEGER            IWORK( * ), MVAL( * ), NBVAL( * ), NVAL( * ),
23*      $                   NXVAL( * )
24*       DOUBLE PRECISION   A( * ), AC( * ), AF( * ), AL( * ), AQ( * ),
25*      $                   B( * ), RWORK( * ), TAU( * ), WORK( * ),
26*      $                   X( * ), XACT( * )
27*       ..
28*
29*
30*> \par Purpose:
31*  =============
32*>
33*> \verbatim
34*>
35*> DCHKQL tests DGEQLF, DORGQL and DORMQL.
36*> \endverbatim
37*
38*  Arguments:
39*  ==========
40*
41*> \param[in] DOTYPE
42*> \verbatim
43*>          DOTYPE is LOGICAL array, dimension (NTYPES)
44*>          The matrix types to be used for testing.  Matrices of type j
45*>          (for 1 <= j <= NTYPES) are used for testing if DOTYPE(j) =
46*>          .TRUE.; if DOTYPE(j) = .FALSE., then type j is not used.
47*> \endverbatim
48*>
49*> \param[in] NM
50*> \verbatim
51*>          NM is INTEGER
52*>          The number of values of M contained in the vector MVAL.
53*> \endverbatim
54*>
55*> \param[in] MVAL
56*> \verbatim
57*>          MVAL is INTEGER array, dimension (NM)
58*>          The values of the matrix row dimension M.
59*> \endverbatim
60*>
61*> \param[in] NN
62*> \verbatim
63*>          NN is INTEGER
64*>          The number of values of N contained in the vector NVAL.
65*> \endverbatim
66*>
67*> \param[in] NVAL
68*> \verbatim
69*>          NVAL is INTEGER array, dimension (NN)
70*>          The values of the matrix column dimension N.
71*> \endverbatim
72*>
73*> \param[in] NNB
74*> \verbatim
75*>          NNB is INTEGER
76*>          The number of values of NB and NX contained in the
77*>          vectors NBVAL and NXVAL.  The blocking parameters are used
78*>          in pairs (NB,NX).
79*> \endverbatim
80*>
81*> \param[in] NBVAL
82*> \verbatim
83*>          NBVAL is INTEGER array, dimension (NNB)
84*>          The values of the blocksize NB.
85*> \endverbatim
86*>
87*> \param[in] NXVAL
88*> \verbatim
89*>          NXVAL is INTEGER array, dimension (NNB)
90*>          The values of the crossover point NX.
91*> \endverbatim
92*>
93*> \param[in] NRHS
94*> \verbatim
95*>          NRHS is INTEGER
96*>          The number of right hand side vectors to be generated for
97*>          each linear system.
98*> \endverbatim
99*>
100*> \param[in] THRESH
101*> \verbatim
102*>          THRESH is DOUBLE PRECISION
103*>          The threshold value for the test ratios.  A result is
104*>          included in the output file if RESULT >= THRESH.  To have
105*>          every test ratio printed, use THRESH = 0.
106*> \endverbatim
107*>
108*> \param[in] TSTERR
109*> \verbatim
110*>          TSTERR is LOGICAL
111*>          Flag that indicates whether error exits are to be tested.
112*> \endverbatim
113*>
114*> \param[in] NMAX
115*> \verbatim
116*>          NMAX is INTEGER
117*>          The maximum value permitted for M or N, used in dimensioning
118*>          the work arrays.
119*> \endverbatim
120*>
121*> \param[out] A
122*> \verbatim
123*>          A is DOUBLE PRECISION array, dimension (NMAX*NMAX)
124*> \endverbatim
125*>
126*> \param[out] AF
127*> \verbatim
128*>          AF is DOUBLE PRECISION array, dimension (NMAX*NMAX)
129*> \endverbatim
130*>
131*> \param[out] AQ
132*> \verbatim
133*>          AQ is DOUBLE PRECISION array, dimension (NMAX*NMAX)
134*> \endverbatim
135*>
136*> \param[out] AL
137*> \verbatim
138*>          AL is DOUBLE PRECISION array, dimension (NMAX*NMAX)
139*> \endverbatim
140*>
141*> \param[out] AC
142*> \verbatim
143*>          AC is DOUBLE PRECISION array, dimension (NMAX*NMAX)
144*> \endverbatim
145*>
146*> \param[out] B
147*> \verbatim
148*>          B is DOUBLE PRECISION array, dimension (NMAX*NRHS)
149*> \endverbatim
150*>
151*> \param[out] X
152*> \verbatim
153*>          X is DOUBLE PRECISION array, dimension (NMAX*NRHS)
154*> \endverbatim
155*>
156*> \param[out] XACT
157*> \verbatim
158*>          XACT is DOUBLE PRECISION array, dimension (NMAX*NRHS)
159*> \endverbatim
160*>
161*> \param[out] TAU
162*> \verbatim
163*>          TAU is DOUBLE PRECISION array, dimension (NMAX)
164*> \endverbatim
165*>
166*> \param[out] WORK
167*> \verbatim
168*>          WORK is DOUBLE PRECISION array, dimension (NMAX*NMAX)
169*> \endverbatim
170*>
171*> \param[out] RWORK
172*> \verbatim
173*>          RWORK is DOUBLE PRECISION array, dimension (NMAX)
174*> \endverbatim
175*>
176*> \param[out] IWORK
177*> \verbatim
178*>          IWORK is INTEGER array, dimension (NMAX)
179*> \endverbatim
180*>
181*> \param[in] NOUT
182*> \verbatim
183*>          NOUT is INTEGER
184*>          The unit number for output.
185*> \endverbatim
186*
187*  Authors:
188*  ========
189*
190*> \author Univ. of Tennessee
191*> \author Univ. of California Berkeley
192*> \author Univ. of Colorado Denver
193*> \author NAG Ltd.
194*
195*> \date November 2011
196*
197*> \ingroup double_lin
198*
199*  =====================================================================
200      SUBROUTINE DCHKQL( DOTYPE, NM, MVAL, NN, NVAL, NNB, NBVAL, NXVAL,
201     $                   NRHS, THRESH, TSTERR, NMAX, A, AF, AQ, AL, AC,
202     $                   B, X, XACT, TAU, WORK, RWORK, IWORK, NOUT )
203*
204*  -- LAPACK test routine (version 3.4.0) --
205*  -- LAPACK is a software package provided by Univ. of Tennessee,    --
206*  -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
207*     November 2011
208*
209*     .. Scalar Arguments ..
210      LOGICAL            TSTERR
211      INTEGER            NM, NMAX, NN, NNB, NOUT, NRHS
212      DOUBLE PRECISION   THRESH
213*     ..
214*     .. Array Arguments ..
215      LOGICAL            DOTYPE( * )
216      INTEGER            IWORK( * ), MVAL( * ), NBVAL( * ), NVAL( * ),
217     $                   NXVAL( * )
218      DOUBLE PRECISION   A( * ), AC( * ), AF( * ), AL( * ), AQ( * ),
219     $                   B( * ), RWORK( * ), TAU( * ), WORK( * ),
220     $                   X( * ), XACT( * )
221*     ..
222*
223*  =====================================================================
224*
225*     .. Parameters ..
226      INTEGER            NTESTS
227      PARAMETER          ( NTESTS = 7 )
228      INTEGER            NTYPES
229      PARAMETER          ( NTYPES = 8 )
230      DOUBLE PRECISION   ZERO
231      PARAMETER          ( ZERO = 0.0D0 )
232*     ..
233*     .. Local Scalars ..
234      CHARACTER          DIST, TYPE
235      CHARACTER*3        PATH
236      INTEGER            I, IK, IM, IMAT, IN, INB, INFO, K, KL, KU, LDA,
237     $                   LWORK, M, MINMN, MODE, N, NB, NERRS, NFAIL, NK,
238     $                   NRUN, NT, NX
239      DOUBLE PRECISION   ANORM, CNDNUM
240*     ..
241*     .. Local Arrays ..
242      INTEGER            ISEED( 4 ), ISEEDY( 4 ), KVAL( 4 )
243      DOUBLE PRECISION   RESULT( NTESTS )
244*     ..
245*     .. External Subroutines ..
246      EXTERNAL           ALAERH, ALAHD, ALASUM, DERRQL, DGEQLS, DGET02,
247     $                   DLACPY, DLARHS, DLATB4, DLATMS, DQLT01, DQLT02,
248     $                   DQLT03, XLAENV
249*     ..
250*     .. Intrinsic Functions ..
251      INTRINSIC          MAX, MIN
252*     ..
253*     .. Scalars in Common ..
254      LOGICAL            LERR, OK
255      CHARACTER*32       SRNAMT
256      INTEGER            INFOT, NUNIT
257*     ..
258*     .. Common blocks ..
259      COMMON             / INFOC / INFOT, NUNIT, OK, LERR
260      COMMON             / SRNAMC / SRNAMT
261*     ..
262*     .. Data statements ..
263      DATA               ISEEDY / 1988, 1989, 1990, 1991 /
264*     ..
265*     .. Executable Statements ..
266*
267*     Initialize constants and the random number seed.
268*
269      PATH( 1: 1 ) = 'Double precision'
270      PATH( 2: 3 ) = 'QL'
271      NRUN = 0
272      NFAIL = 0
273      NERRS = 0
274      DO 10 I = 1, 4
275         ISEED( I ) = ISEEDY( I )
276   10 CONTINUE
277*
278*     Test the error exits
279*
280      IF( TSTERR )
281     $   CALL DERRQL( PATH, NOUT )
282      INFOT = 0
283      CALL XLAENV( 2, 2 )
284*
285      LDA = NMAX
286      LWORK = NMAX*MAX( NMAX, NRHS )
287*
288*     Do for each value of M in MVAL.
289*
290      DO 70 IM = 1, NM
291         M = MVAL( IM )
292*
293*        Do for each value of N in NVAL.
294*
295         DO 60 IN = 1, NN
296            N = NVAL( IN )
297            MINMN = MIN( M, N )
298            DO 50 IMAT = 1, NTYPES
299*
300*              Do the tests only if DOTYPE( IMAT ) is true.
301*
302               IF( .NOT.DOTYPE( IMAT ) )
303     $            GO TO 50
304*
305*              Set up parameters with DLATB4 and generate a test matrix
306*              with DLATMS.
307*
308               CALL DLATB4( PATH, IMAT, M, N, TYPE, KL, KU, ANORM, MODE,
309     $                      CNDNUM, DIST )
310*
311               SRNAMT = 'DLATMS'
312               CALL DLATMS( M, N, DIST, ISEED, TYPE, RWORK, MODE,
313     $                      CNDNUM, ANORM, KL, KU, 'No packing', A, LDA,
314     $                      WORK, INFO )
315*
316*              Check error code from DLATMS.
317*
318               IF( INFO.NE.0 ) THEN
319                  CALL ALAERH( PATH, 'DLATMS', INFO, 0, ' ', M, N, -1,
320     $                         -1, -1, IMAT, NFAIL, NERRS, NOUT )
321                  GO TO 50
322               END IF
323*
324*              Set some values for K: the first value must be MINMN,
325*              corresponding to the call of DQLT01; other values are
326*              used in the calls of DQLT02, and must not exceed MINMN.
327*
328               KVAL( 1 ) = MINMN
329               KVAL( 2 ) = 0
330               KVAL( 3 ) = 1
331               KVAL( 4 ) = MINMN / 2
332               IF( MINMN.EQ.0 ) THEN
333                  NK = 1
334               ELSE IF( MINMN.EQ.1 ) THEN
335                  NK = 2
336               ELSE IF( MINMN.LE.3 ) THEN
337                  NK = 3
338               ELSE
339                  NK = 4
340               END IF
341*
342*              Do for each value of K in KVAL
343*
344               DO 40 IK = 1, NK
345                  K = KVAL( IK )
346*
347*                 Do for each pair of values (NB,NX) in NBVAL and NXVAL.
348*
349                  DO 30 INB = 1, NNB
350                     NB = NBVAL( INB )
351                     CALL XLAENV( 1, NB )
352                     NX = NXVAL( INB )
353                     CALL XLAENV( 3, NX )
354                     DO I = 1, NTESTS
355                        RESULT( I ) = ZERO
356                     END DO
357                     NT = 2
358                     IF( IK.EQ.1 ) THEN
359*
360*                       Test DGEQLF
361*
362                        CALL DQLT01( M, N, A, AF, AQ, AL, LDA, TAU,
363     $                               WORK, LWORK, RWORK, RESULT( 1 ) )
364                     ELSE IF( M.GE.N ) THEN
365*
366*                       Test DORGQL, using factorization
367*                       returned by DQLT01
368*
369                        CALL DQLT02( M, N, K, A, AF, AQ, AL, LDA, TAU,
370     $                               WORK, LWORK, RWORK, RESULT( 1 ) )
371                     END IF
372                     IF( M.GE.K ) THEN
373*
374*                       Test DORMQL, using factorization returned
375*                       by DQLT01
376*
377                        CALL DQLT03( M, N, K, AF, AC, AL, AQ, LDA, TAU,
378     $                               WORK, LWORK, RWORK, RESULT( 3 ) )
379                        NT = NT + 4
380*
381*                       If M>=N and K=N, call DGEQLS to solve a system
382*                       with NRHS right hand sides and compute the
383*                       residual.
384*
385                        IF( K.EQ.N .AND. INB.EQ.1 ) THEN
386*
387*                          Generate a solution and set the right
388*                          hand side.
389*
390                           SRNAMT = 'DLARHS'
391                           CALL DLARHS( PATH, 'New', 'Full',
392     $                                  'No transpose', M, N, 0, 0,
393     $                                  NRHS, A, LDA, XACT, LDA, B, LDA,
394     $                                  ISEED, INFO )
395*
396                           CALL DLACPY( 'Full', M, NRHS, B, LDA, X,
397     $                                  LDA )
398                           SRNAMT = 'DGEQLS'
399                           CALL DGEQLS( M, N, NRHS, AF, LDA, TAU, X,
400     $                                  LDA, WORK, LWORK, INFO )
401*
402*                          Check error code from DGEQLS.
403*
404                           IF( INFO.NE.0 )
405     $                        CALL ALAERH( PATH, 'DGEQLS', INFO, 0, ' ',
406     $                                     M, N, NRHS, -1, NB, IMAT,
407     $                                     NFAIL, NERRS, NOUT )
408*
409                           CALL DGET02( 'No transpose', M, N, NRHS, A,
410     $                                  LDA, X( M-N+1 ), LDA, B, LDA,
411     $                                  RWORK, RESULT( 7 ) )
412                           NT = NT + 1
413                        END IF
414                     END IF
415*
416*                    Print information about the tests that did not
417*                    pass the threshold.
418*
419                     DO 20 I = 1, NT
420                        IF( RESULT( I ).GE.THRESH ) THEN
421                           IF( NFAIL.EQ.0 .AND. NERRS.EQ.0 )
422     $                        CALL ALAHD( NOUT, PATH )
423                           WRITE( NOUT, FMT = 9999 )M, N, K, NB, NX,
424     $                        IMAT, I, RESULT( I )
425                           NFAIL = NFAIL + 1
426                        END IF
427   20                CONTINUE
428                     NRUN = NRUN + NT
429   30             CONTINUE
430   40          CONTINUE
431   50       CONTINUE
432   60    CONTINUE
433   70 CONTINUE
434*
435*     Print a summary of the results.
436*
437      CALL ALASUM( PATH, NOUT, NFAIL, NRUN, NERRS )
438*
439 9999 FORMAT( ' M=', I5, ', N=', I5, ', K=', I5, ', NB=', I4, ', NX=',
440     $      I5, ', type ', I2, ', test(', I2, ')=', G12.5 )
441      RETURN
442*
443*     End of DCHKQL
444*
445      END
446