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
|
/*
Copyright (C) 1996 John W. Eaton
This file is part of Octave.
Octave is free software; you can redistribute it and/or modify it
under the terms of the GNU General Public License as published by the
Free Software Foundation; either version 2, or (at your option) any
later version.
Octave is distributed in the hope that it will be useful, but WITHOUT
ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
for more details.
You should have received a copy of the GNU General Public License
along with Octave; see the file COPYING. If not, write to the Free
Software Foundation, 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
*/
#if defined (__GNUG__)
#pragma implementation
#endif
#ifdef HAVE_CONFIG_H
#include <config.h>
#endif
#include <cmath>
#include <string>
#include "dbleGEPBAL.h"
#include "f77-fcn.h"
extern "C"
{
int F77_FCN (dgebak, DGEBAK) (const char*, const char*, const int&,
const int&, const int&, double*,
const int&, double*, const int&, int&,
long, long);
int F77_FCN (reduce, REDUCE) (const int&, const int&, double*,
const int&, double*, int&, int&,
double*, double*);
int F77_FCN (scaleg, SCALEG) (const int&, const int&, double*,
const int&, double*, const int&,
const int&, double*, double*,
double*);
int F77_FCN (gradeq, GRADEQ) (const int&, const int&, double*,
const int&, double*, int&, int&,
double*, double*);
}
int
GEPBALANCE::init (const Matrix& a, const Matrix& b, const string& balance_job)
{
int a_nr = a.rows ();
int a_nc = a.cols ();
int b_nr = b.rows ();
if (a_nr != a_nc || a_nr != b_nr || b_nr != b.cols ())
{
(*current_liboctave_error_handler)
("GEPBALANCE requires square matrices of the same size");
return -1;
}
int n = a_nc;
int info;
int ilo;
int ihi;
Array<double> cscale (n);
double *pcscale = cscale.fortran_vec ();
Matrix wk (n, 6, 0.0);
double *pwk = wk.fortran_vec ();
// Back out the permutations:
//
// cscale contains the exponents of the column scaling factors in its
// ilo through ihi locations and the reducing column permutations in
// its first ilo-1 and its ihi+1 through n locations.
//
// cperm contains the column permutations applied in grading the a and b
// submatrices in its ilo through ihi locations.
//
// wk contains the exponents of the row scaling factors in its ilo
// through ihi locations, the reducing row permutations in its first
// ilo-1 and its ihi+1 through n locations, and the row permutations
// applied in grading the a and b submatrices in its n+ilo through
// n+ihi locations.
// Copy matrices into local structure.
balanced_a_mat = a;
balanced_b_mat = b;
double *p_balanced_a_mat = balanced_a_mat.fortran_vec ();
double *p_balanced_b_mat = balanced_b_mat.fortran_vec ();
// Check for permutation option.
char job = balance_job[0];
if (job == 'P' || job == 'B')
{
F77_XFCN (reduce, REDUCE, (n, n, p_balanced_a_mat, n,
p_balanced_b_mat, ilo, ihi,
pcscale, pwk));
}
else
{
// Set up for scaling later.
ilo = 1;
ihi = n;
}
if (f77_exception_encountered)
(*current_liboctave_error_handler) ("unrecoverable error in reduce");
else
{
Array<double> cperm (n);
double *pcperm = cperm.fortran_vec ();
// Check for scaling option.
if ((job == 'S' || job == 'B') && ilo != ihi)
{
F77_XFCN (scaleg, SCALEG, (n, n, p_balanced_a_mat, n,
p_balanced_b_mat, ilo, ihi,
pcscale, pcperm, pwk));
}
else
{
// Set scaling data to 0's.
for (int i = ilo-1; i < ihi; i++)
{
cscale.elem (i) = 0.0;
wk.elem (i, 0) = 0.0;
}
}
if (f77_exception_encountered)
(*current_liboctave_error_handler) ("unrecoverable error in scaleg");
else
{
// Scaleg returns exponents, not values, so...
for (int i = ilo-1; i < ihi; i++)
{
cscale.elem (i) = pow (2.0, cscale.elem (i));
wk.elem (i, 0) = pow (2.0, -wk.elem (i, 0));
}
// Initialize balancing matrices to identity.
left_balancing_mat = Matrix (n, n, 0.0);
for (int i = 0; i < n; i++)
left_balancing_mat (i, i) = 1.0;
right_balancing_mat = left_balancing_mat;
double *p_right_balancing_mat = right_balancing_mat.fortran_vec ();
double *p_left_balancing_mat = left_balancing_mat.fortran_vec ();
// Column permutations/scaling.
char side = 'R';
F77_XFCN (dgebak, DGEBAK, (&job, &side, n, ilo, ihi, pcscale,
n, p_right_balancing_mat, n, info,
1L, 1L));
if (f77_exception_encountered)
(*current_liboctave_error_handler)
("unrecoverable error in dgebak");
else
{
// Row permutations/scaling.
side = 'L';
F77_XFCN (dgebak, DGEBAK, (&job, &side, n, ilo, ihi, pwk,
n, p_left_balancing_mat, n,
info, 1L, 1L));
#if 0
// XXX FIXME XXX --- these four lines need to be added and
// debugged. GEPBALANCE::init will work without them, though, so
// here they are.
if ((job == 'P' || job == 'B') && ilo != ihi)
{
F77_XFCN (gradeq, GRADEQ, (n, n, p_balanced_a_mat, n,
p_balanced_b_mat, ilo, ihi,
pcperm, pwk));
}
#endif
if (f77_exception_encountered)
(*current_liboctave_error_handler)
("unrecoverable error in dgebak");
else
{
// Transpose for aa = cc*a*dd convention...
left_balancing_mat = left_balancing_mat.transpose ();
}
}
}
}
return info;
}
/*
;;; Local Variables: ***
;;; mode: C++ ***
;;; End: ***
*/
|
