File: dsgets.c

package info (click to toggle)
vxl 1.17.0.dfsg-1
  • links: PTS, VCS
  • area: main
  • in suites: jessie, jessie-kfreebsd
  • size: 153,280 kB
  • ctags: 105,123
  • sloc: cpp: 747,420; ansic: 209,130; fortran: 34,230; lisp: 14,915; sh: 6,187; python: 5,856; makefile: 340; perl: 294; xml: 160
file content (330 lines) | stat: -rw-r--r-- 11,502 bytes parent folder | download | duplicates (10)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
/* arpack/dsgets.f -- translated by f2c (version 20090411).
   You must link the resulting object file with libf2c:
        on Microsoft Windows system, link with libf2c.lib;
        on Linux or Unix systems, link with .../path/to/libf2c.a -lm
        or, if you install libf2c.a in a standard place, with -lf2c -lm
        -- in that order, at the end of the command line, as in
                cc *.o -lf2c -lm
        Source for libf2c is in /netlib/f2c/libf2c.zip, e.g.,

                http://www.netlib.org/f2c/libf2c.zip
*/

#ifdef __cplusplus
extern "C" {
#endif
#include "v3p_netlib.h"

/* Common Block Declarations */

/*Extern struct { */
/*  integer logfil, ndigit, mgetv0, msaupd, msaup2, msaitr, mseigt, msapps, */
/*          msgets, mseupd, mnaupd, mnaup2, mnaitr, mneigh, mnapps, mngets, */
/*          mneupd, mcaupd, mcaup2, mcaitr, mceigh, mcapps, mcgets, mceupd; */
/*} debug_; */

/*#define debug_1 debug_ */

/*Extern struct { */
/*  integer nopx, nbx, nrorth, nitref, nrstrt; */
/*  real tsaupd, tsaup2, tsaitr, tseigt, tsgets, tsapps, tsconv, tnaupd, */
/*          tnaup2, tnaitr, tneigh, tngets, tnapps, tnconv, tcaupd, tcaup2, */
/*          tcaitr, tceigh, tcgets, tcapps, tcconv, tmvopx, tmvbx, tgetv0, */
/*          titref, trvec; */
/*} timing_; */

/*#define timing_1 timing_ */

/* Table of constant values */

static logical c_true = TRUE_;
static integer c__1 = 1;

/* ----------------------------------------------------------------------- */
/* \BeginDoc */

/* \Name: dsgets */

/* \Description: */
/*  Given the eigenvalues of the symmetric tridiagonal matrix H, */
/*  computes the NP shifts AMU that are zeros of the polynomial of */
/*  degree NP which filters out components of the unwanted eigenvectors */
/*  corresponding to the AMU's based on some given criteria. */

/*  NOTE: This is called even in the case of user specified shifts in */
/*  order to sort the eigenvalues, and error bounds of H for later use. */

/* \Usage: */
/*  call dsgets */
/*     ( ISHIFT, WHICH, KEV, NP, RITZ, BOUNDS, SHIFTS ) */

/* \Arguments */
/*  ISHIFT  Integer.  (INPUT) */
/*          Method for selecting the implicit shifts at each iteration. */
/*          ISHIFT = 0: user specified shifts */
/*          ISHIFT = 1: exact shift with respect to the matrix H. */

/*  WHICH   Character*2.  (INPUT) */
/*          Shift selection criteria. */
/*          'LM' -> KEV eigenvalues of largest magnitude are retained. */
/*          'SM' -> KEV eigenvalues of smallest magnitude are retained. */
/*          'LA' -> KEV eigenvalues of largest value are retained. */
/*          'SA' -> KEV eigenvalues of smallest value are retained. */
/*          'BE' -> KEV eigenvalues, half from each end of the spectrum. */
/*                  If KEV is odd, compute one more from the high end. */

/*  KEV      Integer.  (INPUT) */
/*          KEV+NP is the size of the matrix H. */

/*  NP      Integer.  (INPUT) */
/*          Number of implicit shifts to be computed. */

/*  RITZ    Double precision array of length KEV+NP.  (INPUT/OUTPUT) */
/*          On INPUT, RITZ contains the eigenvalues of H. */
/*          On OUTPUT, RITZ are sorted so that the unwanted eigenvalues */
/*          are in the first NP locations and the wanted part is in */
/*          the last KEV locations.  When exact shifts are selected, the */
/*          unwanted part corresponds to the shifts to be applied. */

/*  BOUNDS  Double precision array of length KEV+NP.  (INPUT/OUTPUT) */
/*          Error bounds corresponding to the ordering in RITZ. */

/*  SHIFTS  Double precision array of length NP.  (INPUT/OUTPUT) */
/*          On INPUT:  contains the user specified shifts if ISHIFT = 0. */
/*          On OUTPUT: contains the shifts sorted into decreasing order */
/*          of magnitude with respect to the Ritz estimates contained in */
/*          BOUNDS. If ISHIFT = 0, SHIFTS is not modified on exit. */

/* \EndDoc */

/* ----------------------------------------------------------------------- */

/* \BeginLib */

/* \Local variables: */
/*     xxxxxx  real */

/* \Routines called: */
/*     dsortr  ARPACK utility sorting routine. */
/*     second  ARPACK utility routine for timing. */
/*     dcopy   Level 1 BLAS that copies one vector to another. */
/*     dswap   Level 1 BLAS that swaps the contents of two vectors. */

/* \Author */
/*     Danny Sorensen               Phuong Vu */
/*     Richard Lehoucq              CRPC / Rice University */
/*     Dept. of Computational &     Houston, Texas */
/*     Applied Mathematics */
/*     Rice University */
/*     Houston, Texas */

/* \Revision history: */
/*     xx/xx/93: Version ' 2.1' */

/* \SCCS Information: @(#) */
/* FILE: sgets.F   SID: 2.4   DATE OF SID: 4/19/96   RELEASE: 2 */

/* \Remarks */

/* \EndLib */

/* ----------------------------------------------------------------------- */

/*<       subroutine dsgets ( ishift, which, kev, np, ritz, bounds, shifts ) >*/
/* Subroutine */ int dsgets_(integer *ishift, char *which, integer *kev,
        integer *np, doublereal *ritz, doublereal *bounds, doublereal *shifts,
         ftnlen which_len)
{
    /* System generated locals */
    integer i__1;

    /* Builtin functions */
    integer s_cmp(char *, char *, ftnlen, ftnlen);

    /* Local variables */
/*  static real t0, t1; */
    integer kevd2;
    extern /* Subroutine */ int dswap_(integer *, doublereal *, integer *,
            doublereal *, integer *), dcopy_(integer *, doublereal *, integer
            *, doublereal *, integer *), second_(real *);
/*  integer msglvl; */
    extern /* Subroutine */ int dsortr_(char *, logical *, integer *,
            doublereal *, doublereal *, ftnlen);


/*     %----------------------------------------------------% */
/*     | Include files for debugging and timing information | */
/*     %----------------------------------------------------% */

/*<       include   'debug.h' >*/
/*<       include   'stat.h' >*/

/* \SCCS Information: @(#) */
/* FILE: debug.h   SID: 2.3   DATE OF SID: 11/16/95   RELEASE: 2 */

/*     %---------------------------------% */
/*     | See debug.doc for documentation | */
/*     %---------------------------------% */
/*<        >*/
/*<       character*2 which >*/

/*     %------------------% */
/*     | Scalar Arguments | */
/*     %------------------% */

/*     %--------------------------------% */
/*     | See stat.doc for documentation | */
/*     %--------------------------------% */

/* \SCCS Information: @(#) */
/* FILE: stat.h   SID: 2.2   DATE OF SID: 11/16/95   RELEASE: 2 */

/*<       save       t0, t1, t2, t3, t4, t5 >*/

/*<       integer    nopx, nbx, nrorth, nitref, nrstrt >*/
/*<        >*/
/*<        >*/
/*<       integer    ishift, kev, np >*/

/*     %-----------------% */
/*     | Array Arguments | */
/*     %-----------------% */

/*<        >*/

/*     %------------% */
/*     | Parameters | */
/*     %------------% */

/*<        >*/
/*<       parameter (one = 1.0D+0, zero = 0.0D+0) >*/

/*     %---------------% */
/*     | Local Scalars | */
/*     %---------------% */

/*<       integer    kevd2, msglvl >*/

/*     %----------------------% */
/*     | External Subroutines | */
/*     %----------------------% */

/*<       external   dswap, dcopy, dsortr, second >*/

/*     %---------------------% */
/*     | Intrinsic Functions | */
/*     %---------------------% */

/*<       intrinsic    max, min >*/

/*     %-----------------------% */
/*     | Executable Statements | */
/*     %-----------------------% */

/*     %-------------------------------% */
/*     | Initialize timing statistics  | */
/*     | & message level for debugging | */
/*     %-------------------------------% */

/*<       call second (t0) >*/
    /* Parameter adjustments */
    --shifts;
    --bounds;
    --ritz;

    /* Function Body */
/*  second_(&t0); */
/*<       msglvl = msgets >*/
/*  msglvl = debug_1.msgets; */

/*<       if (which .eq. 'BE') then >*/
    if (s_cmp(which, "BE", (ftnlen)2, (ftnlen)2) == 0) {

/*        %-----------------------------------------------------% */
/*        | Both ends of the spectrum are requested.            | */
/*        | Sort the eigenvalues into algebraically increasing  | */
/*        | order first then swap high end of the spectrum next | */
/*        | to low end in appropriate locations.                | */
/*        | NOTE: when np < floor(kev/2) be careful not to swap | */
/*        | overlapping locations.                              | */
/*        %-----------------------------------------------------% */

/*<          call dsortr ('LA', .true., kev+np, ritz, bounds) >*/
        i__1 = *kev + *np;
        dsortr_("LA", &c_true, &i__1, &ritz[1], &bounds[1], (ftnlen)2);
/*<          kevd2 = kev / 2  >*/
        kevd2 = *kev / 2;
/*<          if ( kev .gt. 1 ) then >*/
        if (*kev > 1) {
/*<        >*/
            i__1 = min(kevd2,*np);
            dswap_(&i__1, &ritz[1], &c__1, &ritz[max(kevd2,*np) + 1], &c__1);
/*<        >*/
            i__1 = min(kevd2,*np);
            dswap_(&i__1, &bounds[1], &c__1, &bounds[max(kevd2,*np) + 1], &
                    c__1);
/*<          end if >*/
        }

/*<       else >*/
    } else {

/*        %----------------------------------------------------% */
/*        | LM, SM, LA, SA case.                               | */
/*        | Sort the eigenvalues of H into the desired order   | */
/*        | and apply the resulting order to BOUNDS.           | */
/*        | The eigenvalues are sorted so that the wanted part | */
/*        | are always in the last KEV locations.               | */
/*        %----------------------------------------------------% */

/*<          call dsortr (which, .true., kev+np, ritz, bounds) >*/
        i__1 = *kev + *np;
        dsortr_(which, &c_true, &i__1, &ritz[1], &bounds[1], (ftnlen)2);
/*<       end if >*/
    }

/*<       if (ishift .eq. 1 .and. np .gt. 0) then >*/
    if (*ishift == 1 && *np > 0) {

/*        %-------------------------------------------------------% */
/*        | Sort the unwanted Ritz values used as shifts so that  | */
/*        | the ones with largest Ritz estimates are first.       | */
/*        | This will tend to minimize the effects of the         | */
/*        | forward instability of the iteration when the shifts  | */
/*        | are applied in subroutine dsapps.                     | */
/*        %-------------------------------------------------------% */

/*<          call dsortr ('SM', .true., np, bounds, ritz) >*/
        dsortr_("SM", &c_true, np, &bounds[1], &ritz[1], (ftnlen)2);
/*<          call dcopy (np, ritz, 1, shifts, 1) >*/
        dcopy_(np, &ritz[1], &c__1, &shifts[1], &c__1);
/*<       end if >*/
    }

/*<       call second (t1) >*/
/*  second_(&t1); */
/*<       tsgets = tsgets + (t1 - t0) >*/
/*  timing_1.tsgets += t1 - t0; */

/*      if (msglvl .gt. 0) then */
/*         call ivout (logfil, 1, kev, ndigit, '_sgets: KEV is') */
/*         call ivout (logfil, 1, np, ndigit, '_sgets: NP is') */
/*         call dvout (logfil, kev+np, ritz, ndigit, */
/*     &        '_sgets: Eigenvalues of current H matrix') */
/*         call dvout (logfil, kev+np, bounds, ndigit, */
/*     &        '_sgets: Associated Ritz estimates') */
/*      end if */

/*<       return >*/
    return 0;

/*     %---------------% */
/*     | End of dsgets | */
/*     %---------------% */

/*<       end >*/
} /* dsgets_ */

#ifdef __cplusplus
        }
#endif