LAPACK  3.7.0
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 December 2016
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 3.7.0) --
158 * -- LAPACK is a software package provided by Univ. of Tennessee, --
159 * -- Univ. of California Berkeley, Univ. of Colorado Denver and NAG Ltd..--
160 * December 2016
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, dpot05,
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  lwork = max( 2*nmax, nmax*nrhs )
244 *
245 * Test the error exits
246 *
247  IF( tsterr )
248  $ CALL derrvx( path, nout )
249  infot = 0
250 *
251 * Set the block size and minimum block size for testing.
252 *
253  nb = 1
254  nbmin = 2
255  CALL xlaenv( 1, nb )
256  CALL xlaenv( 2, nbmin )
257 *
258 * Do for each value of N in NVAL
259 *
260  DO 180 in = 1, nn
261  n = nval( in )
262  lda = max( n, 1 )
263  xtype = 'N'
264  nimat = ntypes
265  IF( n.LE.0 )
266  $ nimat = 1
267 *
268  DO 170 imat = 1, nimat
269 *
270 * Do the tests only if DOTYPE( IMAT ) is true.
271 *
272  IF( .NOT.dotype( imat ) )
273  $ GO TO 170
274 *
275 * Skip types 3, 4, 5, or 6 if the matrix size is too small.
276 *
277  zerot = imat.GE.3 .AND. imat.LE.6
278  IF( zerot .AND. n.LT.imat-2 )
279  $ GO TO 170
280 *
281 * Do first for UPLO = 'U', then for UPLO = 'L'
282 *
283  DO 160 iuplo = 1, 2
284  uplo = uplos( iuplo )
285 *
286 * Set up parameters with DLATB4 and generate a test matrix
287 * with DLATMS.
288 *
289  CALL dlatb4( matpath, imat, n, n, TYPE, KL, KU, ANORM,
290  $ mode, cndnum, dist )
291 *
292  srnamt = 'DLATMS'
293  CALL dlatms( n, n, dist, iseed, TYPE, RWORK, MODE,
294  $ cndnum, anorm, kl, ku, uplo, a, lda, work,
295  $ info )
296 *
297 * Check error code from DLATMS.
298 *
299  IF( info.NE.0 ) THEN
300  CALL alaerh( path, 'DLATMS', info, 0, uplo, n, n, -1,
301  $ -1, -1, imat, nfail, nerrs, nout )
302  GO TO 160
303  END IF
304 *
305 * For types 3-6, zero one or more rows and columns of the
306 * matrix to test that INFO is returned correctly.
307 *
308  IF( zerot ) THEN
309  IF( imat.EQ.3 ) THEN
310  izero = 1
311  ELSE IF( imat.EQ.4 ) THEN
312  izero = n
313  ELSE
314  izero = n / 2 + 1
315  END IF
316 *
317  IF( imat.LT.6 ) THEN
318 *
319 * Set row and column IZERO to zero.
320 *
321  IF( iuplo.EQ.1 ) THEN
322  ioff = ( izero-1 )*lda
323  DO 20 i = 1, izero - 1
324  a( ioff+i ) = zero
325  20 CONTINUE
326  ioff = ioff + izero
327  DO 30 i = izero, n
328  a( ioff ) = zero
329  ioff = ioff + lda
330  30 CONTINUE
331  ELSE
332  ioff = izero
333  DO 40 i = 1, izero - 1
334  a( ioff ) = zero
335  ioff = ioff + lda
336  40 CONTINUE
337  ioff = ioff - izero
338  DO 50 i = izero, n
339  a( ioff+i ) = zero
340  50 CONTINUE
341  END IF
342  ELSE
343  ioff = 0
344  IF( iuplo.EQ.1 ) THEN
345 *
346 * Set the first IZERO rows and columns to zero.
347 *
348  DO 70 j = 1, n
349  i2 = min( j, izero )
350  DO 60 i = 1, i2
351  a( ioff+i ) = zero
352  60 CONTINUE
353  ioff = ioff + lda
354  70 CONTINUE
355  izero = 1
356  ELSE
357 *
358 * Set the last IZERO rows and columns to zero.
359 *
360  DO 90 j = 1, n
361  i1 = max( j, izero )
362  DO 80 i = i1, n
363  a( ioff+i ) = zero
364  80 CONTINUE
365  ioff = ioff + lda
366  90 CONTINUE
367  END IF
368  END IF
369  ELSE
370  izero = 0
371  END IF
372 *
373  DO 150 ifact = 1, nfact
374 *
375 * Do first for FACT = 'F', then for other values.
376 *
377  fact = facts( ifact )
378 *
379 * Form an exact solution and set the right hand side.
380 *
381  srnamt = 'DLARHS'
382  CALL dlarhs( matpath, xtype, uplo, ' ', n, n, kl, ku,
383  $ nrhs, a, lda, xact, lda, b, lda, iseed,
384  $ info )
385  xtype = 'C'
386 *
387 * --- Test DSYSV_AA ---
388 *
389  IF( ifact.EQ.2 ) THEN
390  CALL dlacpy( uplo, n, n, a, lda, afac, lda )
391  CALL dlacpy( 'Full', n, nrhs, b, lda, x, lda )
392 *
393 * Factor the matrix and solve the system using DSYSV_AA.
394 *
395  srnamt = 'DSYSV_AA'
396  CALL dsysv_aa( uplo, n, nrhs, afac, lda, iwork,
397  $ x, lda, work, lwork, info )
398 *
399 * Adjust the expected value of INFO to account for
400 * pivoting.
401 *
402  IF( izero.GT.0 ) THEN
403  j = 1
404  k = izero
405  100 CONTINUE
406  IF( j.EQ.k ) THEN
407  k = iwork( j )
408  ELSE IF( iwork( j ).EQ.k ) THEN
409  k = j
410  END IF
411  IF( j.LT.k ) THEN
412  j = j + 1
413  GO TO 100
414  END IF
415  ELSE
416  k = 0
417  END IF
418 *
419 * Check error code from DSYSV_AA .
420 *
421  IF( info.NE.k ) THEN
422  CALL alaerh( path, 'DSYSV_AA ', info, k,
423  $ uplo, n, n, -1, -1, nrhs,
424  $ imat, nfail, nerrs, nout )
425  GO TO 120
426  ELSE IF( info.NE.0 ) THEN
427  GO TO 120
428  END IF
429 *
430 * Reconstruct matrix from factors and compute
431 * residual.
432 *
433  CALL dsyt01_aa( uplo, n, a, lda, afac, lda,
434  $ iwork, ainv, lda, rwork,
435  $ result( 1 ) )
436 *
437 * Compute residual of the computed solution.
438 *
439  CALL dlacpy( 'Full', n, nrhs, b, lda, work, lda )
440  CALL dpot02( uplo, n, nrhs, a, lda, x, lda, work,
441  $ lda, rwork, result( 2 ) )
442  nt = 2
443 *
444 * Print information about the tests that did not pass
445 * the threshold.
446 *
447  DO 110 k = 1, nt
448  IF( result( k ).GE.thresh ) THEN
449  IF( nfail.EQ.0 .AND. nerrs.EQ.0 )
450  $ CALL aladhd( nout, path )
451  WRITE( nout, fmt = 9999 )'DSYSV_AA ',
452  $ uplo, n, imat, k, result( k )
453  nfail = nfail + 1
454  END IF
455  110 CONTINUE
456  nrun = nrun + nt
457  120 CONTINUE
458  END IF
459 *
460  150 CONTINUE
461 *
462  160 CONTINUE
463  170 CONTINUE
464  180 CONTINUE
465 *
466 * Print a summary of the results.
467 *
468  CALL alasvm( path, nout, nfail, nrun, nerrs )
469 *
470  9999 FORMAT( 1x, a, ', UPLO=''', a1, ''', N =', i5, ', type ', i2,
471  $ ', test ', i2, ', ratio =', g12.5 )
472  RETURN
473 *
474 * End of DDRVSY_AA
475 *
476  END
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
alasvm
subroutine alasvm(TYPE, NOUT, NFAIL, NRUN, NERRS)
ALASVM
Definition: alasvm.f:75
alaerh
subroutine alaerh(PATH, SUBNAM, INFO, INFOE, OPTS, M, N, KL, KU, N5, IMAT, NFAIL, NERRS, NOUT)
ALAERH
Definition: alaerh.f:149
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
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:166
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
xlaenv
subroutine xlaenv(ISPEC, NVALUE)
XLAENV
Definition: xlaenv.f:83
dsyt01_aa
subroutine dsyt01_aa(UPLO, N, A, LDA, AFAC, LDAFAC, IPIV, C, LDC, RWORK, RESID)
DSYT01
Definition: dsyt01_aa.f:128
dlatb4
subroutine dlatb4(PATH, IMAT, M, N, TYPE, KL, KU, ANORM, MODE, CNDNUM, DIST)
DLATB4
Definition: dlatb4.f:122
dget04
subroutine dget04(N, NRHS, X, LDX, XACT, LDXACT, RCOND, RESID)
DGET04
Definition: dget04.f:104
dsytrf_aa
subroutine dsytrf_aa(UPLO, N, A, LDA, IPIV, WORK, LWORK, INFO)
DSYTRF_AA
Definition: dsytrf_aa.f:138
aladhd
subroutine aladhd(IOUNIT, PATH)
ALADHD
Definition: aladhd.f:92
derrvx
subroutine derrvx(PATH, NUNIT)
DERRVX
Definition: derrvx.f:57
dpot05
subroutine dpot05(UPLO, N, NRHS, A, LDA, B, LDB, X, LDX, XACT, LDXACT, FERR, BERR, RESLTS)
DPOT05
Definition: dpot05.f:166
dlatms
subroutine dlatms(M, N, DIST, ISEED, SYM, D, MODE, COND, DMAX, KL, KU, PACK, A, LDA, WORK, INFO)
DLATMS
Definition: dlatms.f:323
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
dpot02
subroutine dpot02(UPLO, N, NRHS, A, LDA, X, LDX, B, LDB, RWORK, RESID)
DPOT02
Definition: dpot02.f:129