LAPACK  3.9.0
LAPACK: Linear Algebra PACKage
ddrvsy_aa.f
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1 *> \brief \b DDRVSY_AA
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 DDRVSY_AA( DOTYPE, NN, NVAL, NRHS, THRESH, TSTERR, NMAX,
12 * A, AFAC, AINV, B, X, XACT, WORK, RWORK, IWORK,
13 * NOUT )
14 *
15 * .. Scalar Arguments ..
16 * LOGICAL TSTERR
17 * INTEGER NMAX, NN, NOUT, NRHS
18 * DOUBLE PRECISION THRESH
19 * ..
20 * .. Array Arguments ..
21 * LOGICAL DOTYPE( * )
22 * INTEGER IWORK( * ), NVAL( * )
23 * DOUBLE PRECISION A( * ), AFAC( * ), AINV( * ), B( * ),
24 * $ RWORK( * ), WORK( * ), X( * ), XACT( * )
25 * ..
26 *
27 *
28 *> \par Purpose:
29 * =============
30 *>
31 *> \verbatim
32 *>
33 *> DDRVSY_AA tests the driver routine DSYSV_AA.
34 *> \endverbatim
35 *
36 * Arguments:
37 * ==========
38 *
39 *> \param[in] DOTYPE
40 *> \verbatim
41 *> DOTYPE is LOGICAL array, dimension (NTYPES)
42 *> The matrix types to be used for testing. Matrices of type j
43 *> (for 1 <= j <= NTYPES) are used for testing if DOTYPE(j) =
44 *> .TRUE.; if DOTYPE(j) = .FALSE., then type j is not used.
45 *> \endverbatim
46 *>
47 *> \param[in] NN
48 *> \verbatim
49 *> NN is INTEGER
50 *> The number of values of N contained in the vector NVAL.
51 *> \endverbatim
52 *>
53 *> \param[in] NVAL
54 *> \verbatim
55 *> NVAL is INTEGER array, dimension (NN)
56 *> The values of the matrix dimension N.
57 *> \endverbatim
58 *>
59 *> \param[in] NRHS
60 *> \verbatim
61 *> NRHS is INTEGER
62 *> The number of right hand side vectors to be generated for
63 *> each linear system.
64 *> \endverbatim
65 *>
66 *> \param[in] THRESH
67 *> \verbatim
68 *> THRESH is DOUBLE PRECISION
69 *> The threshold value for the test ratios. A result is
70 *> included in the output file if RESULT >= THRESH. To have
71 *> every test ratio printed, use THRESH = 0.
72 *> \endverbatim
73 *>
74 *> \param[in] TSTERR
75 *> \verbatim
76 *> TSTERR is LOGICAL
77 *> Flag that indicates whether error exits are to be tested.
78 *> \endverbatim
79 *>
80 *> \param[in] NMAX
81 *> \verbatim
82 *> NMAX is INTEGER
83 *> The maximum value permitted for N, used in dimensioning the
84 *> work arrays.
85 *> \endverbatim
86 *>
87 *> \param[out] A
88 *> \verbatim
89 *> A is DOUBLE PRECISION array, dimension (NMAX*NMAX)
90 *> \endverbatim
91 *>
92 *> \param[out] AFAC
93 *> \verbatim
94 *> AFAC is DOUBLE PRECISION array, dimension (NMAX*NMAX)
95 *> \endverbatim
96 *>
97 *> \param[out] AINV
98 *> \verbatim
99 *> AINV is DOUBLE PRECISION array, dimension (NMAX*NMAX)
100 *> \endverbatim
101 *>
102 *> \param[out] B
103 *> \verbatim
104 *> B is DOUBLE PRECISION array, dimension (NMAX*NRHS)
105 *> \endverbatim
106 *>
107 *> \param[out] X
108 *> \verbatim
109 *> X is DOUBLE PRECISION array, dimension (NMAX*NRHS)
110 *> \endverbatim
111 *>
112 *> \param[out] XACT
113 *> \verbatim
114 *> XACT is DOUBLE PRECISION array, dimension (NMAX*NRHS)
115 *> \endverbatim
116 *>
117 *> \param[out] WORK
118 *> \verbatim
119 *> WORK is DOUBLE PRECISION array, dimension (NMAX*max(2,NRHS))
120 *> \endverbatim
121 *>
122 *> \param[out] RWORK
123 *> \verbatim
124 *> RWORK is DOUBLE PRECISION array, dimension (NMAX+2*NRHS)
125 *> \endverbatim
126 *>
127 *> \param[out] IWORK
128 *> \verbatim
129 *> IWORK is INTEGER array, dimension (2*NMAX)
130 *> \endverbatim
131 *>
132 *> \param[in] NOUT
133 *> \verbatim
134 *> NOUT is INTEGER
135 *> The unit number for output.
136 *> \endverbatim
137 *
138 * Authors:
139 * ========
140 *
141 *> \author Univ. of Tennessee
142 *> \author Univ. of California Berkeley
143 *> \author Univ. of Colorado Denver
144 *> \author NAG Ltd.
145 *
146 *> \date November 2017
147 *
148 * @precisions fortran d -> z c
149 *
150 *> \ingroup double_lin
151 *
152 * =====================================================================
153  SUBROUTINE ddrvsy_aa( DOTYPE, NN, NVAL, NRHS, THRESH, TSTERR,
154  $ NMAX, A, AFAC, AINV, B, X, XACT, WORK,
155  $ RWORK, IWORK, NOUT )
156 *
157 * -- LAPACK test routine (version 3.8.0) --
158 * -- LAPACK is a software package provided by Univ. of Tennessee, --
159 * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
160 * November 2017
161 *
162 * .. Scalar Arguments ..
163  LOGICAL tsterr
164  INTEGER nmax, nn, nout, nrhs
165  DOUBLE PRECISION thresh
166 * ..
167 * .. Array Arguments ..
168  LOGICAL dotype( * )
169  INTEGER IWORK( * ), NVAL( * )
170  DOUBLE PRECISION A( * ), AFAC( * ), AINV( * ), B( * ),
171  $ rwork( * ), work( * ), x( * ), xact( * )
172 * ..
173 *
174 * =====================================================================
175 *
176 * .. Parameters ..
177  DOUBLE PRECISION ONE, ZERO
178  PARAMETER ( ONE = 1.0d+0, zero = 0.0d+0 )
179  INTEGER NTYPES, NTESTS
180  parameter( ntypes = 10, ntests = 3 )
181  INTEGER NFACT
182  parameter( nfact = 2 )
183 * ..
184 * .. Local Scalars ..
185  LOGICAL ZEROT
186  CHARACTER DIST, FACT, TYPE, UPLO, XTYPE
187  CHARACTER*3 MATPATH, PATH
188  INTEGER I, I1, I2, IFACT, IMAT, IN, INFO, IOFF, IUPLO,
189  $ izero, j, k, kl, ku, lda, lwork, mode, n,
190  $ nb, nbmin, nerrs, nfail, nimat, nrun, nt
191  DOUBLE PRECISION ANORM, CNDNUM
192 * ..
193 * .. Local Arrays ..
194  CHARACTER FACTS( NFACT ), UPLOS( 2 )
195  INTEGER ISEED( 4 ), ISEEDY( 4 )
196  DOUBLE PRECISION RESULT( NTESTS )
197 * ..
198 * .. External Functions ..
199  DOUBLE PRECISION DGET06, DLANSY
200  EXTERNAL DGET06, DLANSY
201 * ..
202 * .. External Subroutines ..
203  EXTERNAL aladhd, alaerh, alasvm, derrvx, dget04, dlacpy,
204  $ dlarhs, dlaset, dlatb4, dlatms, dpot02,
205  $ dsysv_aa, dsyt01_aa, dsytrf_aa, xlaenv
206 * ..
207 * .. Scalars in Common ..
208  LOGICAL LERR, OK
209  CHARACTER*32 SRNAMT
210  INTEGER INFOT, NUNIT
211 * ..
212 * .. Common blocks ..
213  COMMON / infoc / infot, nunit, ok, lerr
214  COMMON / srnamc / srnamt
215 * ..
216 * .. Intrinsic Functions ..
217  INTRINSIC max, min
218 * ..
219 * .. Data statements ..
220  DATA iseedy / 1988, 1989, 1990, 1991 /
221  DATA uplos / 'U', 'L' / , facts / 'F', 'N' /
222 * ..
223 * .. Executable Statements ..
224 *
225 * Initialize constants and the random number seed.
226 *
227 * Test path
228 *
229  path( 1: 1 ) = 'Double precision'
230  path( 2: 3 ) = 'SA'
231 *
232 * Path to generate matrices
233 *
234  matpath( 1: 1 ) = 'Double precision'
235  matpath( 2: 3 ) = 'SY'
236 *
237  nrun = 0
238  nfail = 0
239  nerrs = 0
240  DO 10 i = 1, 4
241  iseed( i ) = iseedy( i )
242  10 CONTINUE
243 *
244 * Test the error exits
245 *
246  IF( tsterr )
247  $ CALL derrvx( path, nout )
248  infot = 0
249 *
250 * Set the block size and minimum block size for testing.
251 *
252  nb = 1
253  nbmin = 2
254  CALL xlaenv( 1, nb )
255  CALL xlaenv( 2, nbmin )
256 *
257 * Do for each value of N in NVAL
258 *
259  DO 180 in = 1, nn
260  n = nval( in )
261  lwork = max( 3*n-2, n*(1+nb) )
262  lwork = max( lwork, 1 )
263  lda = max( n, 1 )
264  xtype = 'N'
265  nimat = ntypes
266  IF( n.LE.0 )
267  $ nimat = 1
268 *
269  DO 170 imat = 1, nimat
270 *
271 * Do the tests only if DOTYPE( IMAT ) is true.
272 *
273  IF( .NOT.dotype( imat ) )
274  $ GO TO 170
275 *
276 * Skip types 3, 4, 5, or 6 if the matrix size is too small.
277 *
278  zerot = imat.GE.3 .AND. imat.LE.6
279  IF( zerot .AND. n.LT.imat-2 )
280  $ GO TO 170
281 *
282 * Do first for UPLO = 'U', then for UPLO = 'L'
283 *
284  DO 160 iuplo = 1, 2
285  uplo = uplos( iuplo )
286 *
287 * Set up parameters with DLATB4 and generate a test matrix
288 * with DLATMS.
289 *
290  CALL dlatb4( matpath, imat, n, n, TYPE, kl, ku, anorm,
291  $ mode, cndnum, dist )
292 *
293  srnamt = 'DLATMS'
294  CALL dlatms( n, n, dist, iseed, TYPE, rwork, mode,
295  $ cndnum, anorm, kl, ku, uplo, a, lda, work,
296  $ info )
297 *
298 * Check error code from DLATMS.
299 *
300  IF( info.NE.0 ) THEN
301  CALL alaerh( path, 'DLATMS', info, 0, uplo, n, n, -1,
302  $ -1, -1, imat, nfail, nerrs, nout )
303  GO TO 160
304  END IF
305 *
306 * For types 3-6, zero one or more rows and columns of the
307 * matrix to test that INFO is returned correctly.
308 *
309  IF( zerot ) THEN
310  IF( imat.EQ.3 ) THEN
311  izero = 1
312  ELSE IF( imat.EQ.4 ) THEN
313  izero = n
314  ELSE
315  izero = n / 2 + 1
316  END IF
317 *
318  IF( imat.LT.6 ) THEN
319 *
320 * Set row and column IZERO to zero.
321 *
322  IF( iuplo.EQ.1 ) THEN
323  ioff = ( izero-1 )*lda
324  DO 20 i = 1, izero - 1
325  a( ioff+i ) = zero
326  20 CONTINUE
327  ioff = ioff + izero
328  DO 30 i = izero, n
329  a( ioff ) = zero
330  ioff = ioff + lda
331  30 CONTINUE
332  ELSE
333  ioff = izero
334  DO 40 i = 1, izero - 1
335  a( ioff ) = zero
336  ioff = ioff + lda
337  40 CONTINUE
338  ioff = ioff - izero
339  DO 50 i = izero, n
340  a( ioff+i ) = zero
341  50 CONTINUE
342  END IF
343  ELSE
344  ioff = 0
345  IF( iuplo.EQ.1 ) THEN
346 *
347 * Set the first IZERO rows and columns to zero.
348 *
349  DO 70 j = 1, n
350  i2 = min( j, izero )
351  DO 60 i = 1, i2
352  a( ioff+i ) = zero
353  60 CONTINUE
354  ioff = ioff + lda
355  70 CONTINUE
356  izero = 1
357  ELSE
358 *
359 * Set the last IZERO rows and columns to zero.
360 *
361  DO 90 j = 1, n
362  i1 = max( j, izero )
363  DO 80 i = i1, n
364  a( ioff+i ) = zero
365  80 CONTINUE
366  ioff = ioff + lda
367  90 CONTINUE
368  END IF
369  END IF
370  ELSE
371  izero = 0
372  END IF
373 *
374  DO 150 ifact = 1, nfact
375 *
376 * Do first for FACT = 'F', then for other values.
377 *
378  fact = facts( ifact )
379 *
380 * Form an exact solution and set the right hand side.
381 *
382  srnamt = 'DLARHS'
383  CALL dlarhs( matpath, xtype, uplo, ' ', n, n, kl, ku,
384  $ nrhs, a, lda, xact, lda, b, lda, iseed,
385  $ info )
386  xtype = 'C'
387 *
388 * --- Test DSYSV_AA ---
389 *
390  IF( ifact.EQ.2 ) THEN
391  CALL dlacpy( uplo, n, n, a, lda, afac, lda )
392  CALL dlacpy( 'Full', n, nrhs, b, lda, x, lda )
393 *
394 * Factor the matrix and solve the system using DSYSV_AA.
395 *
396  srnamt = 'DSYSV_AA'
397  CALL dsysv_aa( uplo, n, nrhs, afac, lda, iwork,
398  $ x, lda, work, lwork, info )
399 *
400 * Adjust the expected value of INFO to account for
401 * pivoting.
402 *
403  IF( izero.GT.0 ) THEN
404  j = 1
405  k = izero
406  100 CONTINUE
407  IF( j.EQ.k ) THEN
408  k = iwork( j )
409  ELSE IF( iwork( j ).EQ.k ) THEN
410  k = j
411  END IF
412  IF( j.LT.k ) THEN
413  j = j + 1
414  GO TO 100
415  END IF
416  ELSE
417  k = 0
418  END IF
419 *
420 * Check error code from DSYSV_AA .
421 *
422  IF( info.NE.k ) THEN
423  CALL alaerh( path, 'DSYSV_AA ', info, k,
424  $ uplo, n, n, -1, -1, nrhs,
425  $ imat, nfail, nerrs, nout )
426  GO TO 120
427  ELSE IF( info.NE.0 ) THEN
428  GO TO 120
429  END IF
430 *
431 * Reconstruct matrix from factors and compute
432 * residual.
433 *
434  CALL dsyt01_aa( uplo, n, a, lda, afac, lda,
435  $ iwork, ainv, lda, rwork,
436  $ result( 1 ) )
437 *
438 * Compute residual of the computed solution.
439 *
440  CALL dlacpy( 'Full', n, nrhs, b, lda, work, lda )
441  CALL dpot02( uplo, n, nrhs, a, lda, x, lda, work,
442  $ lda, rwork, result( 2 ) )
443  nt = 2
444 *
445 * Print information about the tests that did not pass
446 * the threshold.
447 *
448  DO 110 k = 1, nt
449  IF( result( k ).GE.thresh ) THEN
450  IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
451  $ CALL aladhd( nout, path )
452  WRITE( nout, fmt = 9999 )'DSYSV_AA ',
453  $ uplo, n, imat, k, result( k )
454  nfail = nfail + 1
455  END IF
456  110 CONTINUE
457  nrun = nrun + nt
458  120 CONTINUE
459  END IF
460 *
461  150 CONTINUE
462 *
463  160 CONTINUE
464  170 CONTINUE
465  180 CONTINUE
466 *
467 * Print a summary of the results.
468 *
469  CALL alasvm( path, nout, nfail, nrun, nerrs )
470 *
471  9999 FORMAT( 1x, a, ', UPLO=''', a1, ''', N =', i5, ', type ', i2,
472  $ ', test ', i2, ', ratio =', g12.5 )
473  RETURN
474 *
475 * End of DDRVSY_AA
476 *
477  END
dlatms
subroutine dlatms(M, N, DIST, ISEED, SYM, D, MODE, COND, DMAX, KL, KU, PACK, A, LDA, WORK, INFO)
DLATMS
Definition: dlatms.f:323
dsysv_aa
subroutine dsysv_aa(UPLO, N, NRHS, A, LDA, IPIV, B, LDB, WORK, LWORK, INFO)
DSYSV_AA computes the solution to system of linear equations A * X = B for SY matrices
Definition: dsysv_aa.f:164
derrvx
subroutine derrvx(PATH, NUNIT)
DERRVX
Definition: derrvx.f:57
alasvm
subroutine alasvm(TYPE, NOUT, NFAIL, NRUN, NERRS)
ALASVM
Definition: alasvm.f:75
dlarhs
subroutine dlarhs(PATH, XTYPE, UPLO, TRANS, M, N, KL, KU, NRHS, A, LDA, X, LDX, B, LDB, ISEED, INFO)
DLARHS
Definition: dlarhs.f:206
dlatb4
subroutine dlatb4(PATH, IMAT, M, N, TYPE, KL, KU, ANORM, MODE, CNDNUM, DIST)
DLATB4
Definition: dlatb4.f:122
dsyt01_aa
subroutine dsyt01_aa(UPLO, N, A, LDA, AFAC, LDAFAC, IPIV, C, LDC, RWORK, RESID)
DSYT01
Definition: dsyt01_aa.f:128
dget04
subroutine dget04(N, NRHS, X, LDX, XACT, LDXACT, RCOND, RESID)
DGET04
Definition: dget04.f:104
ddrvsy_aa
subroutine ddrvsy_aa(DOTYPE, NN, NVAL, NRHS, THRESH, TSTERR, NMAX, A, AFAC, AINV, B, X, XACT, WORK, RWORK, IWORK, NOUT)
DDRVSY_AA
Definition: ddrvsy_aa.f:156
aladhd
subroutine aladhd(IOUNIT, PATH)
ALADHD
Definition: aladhd.f:92
alaerh
subroutine alaerh(PATH, SUBNAM, INFO, INFOE, OPTS, M, N, KL, KU, N5, IMAT, NFAIL, NERRS, NOUT)
ALAERH
Definition: alaerh.f:149
dsytrf_aa
subroutine dsytrf_aa(UPLO, N, A, LDA, IPIV, WORK, LWORK, INFO)
DSYTRF_AA
Definition: dsytrf_aa.f:134
dlaset
subroutine dlaset(UPLO, M, N, ALPHA, BETA, A, LDA)
DLASET initializes the off-diagonal elements and the diagonal elements of a matrix to given values.
Definition: dlaset.f:112
dpot02
subroutine dpot02(UPLO, N, NRHS, A, LDA, X, LDX, B, LDB, RWORK, RESID)
DPOT02
Definition: dpot02.f:129
xlaenv
subroutine xlaenv(ISPEC, NVALUE)
XLAENV
Definition: xlaenv.f:83
dlacpy
subroutine dlacpy(UPLO, M, N, A, LDA, B, LDB)
DLACPY copies all or part of one two-dimensional array to another.
Definition: dlacpy.f:105