-
-
Notifications
You must be signed in to change notification settings - Fork 295
/
n_les.c
335 lines (293 loc) · 6.9 KB
/
n_les.c
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
331
332
333
334
335
/*****************************************************************************
*
* MODULE: Grass PDE Numerical Library
* AUTHOR(S): Soeren Gebbert, Berlin (GER) Dec 2006
* soerengebbert <at> gmx <dot> de
*
* PURPOSE: functions to manage linear equation systems
* part of the gpde library
*
* COPYRIGHT: (C) 2000 by the GRASS Development Team
*
* This program is free software under the GNU General Public
* License (>=v2). Read the file COPYING that comes with GRASS
* for details.
*
*****************************************************************************/
#include <stdlib.h>
#include <grass/N_pde.h>
#include <grass/gmath.h>
/*!
* \brief Allocate memory for a (not) quadratic linear equation system which includes the Matrix A, vector x and vector b
*
* This function calls #N_alloc_les_param
*
* \param cols int
* \param rows int
* \param type int
* \return N_les *
*
* */
N_les *N_alloc_nquad_les(int cols, int rows, int type)
{
return N_alloc_les_param(cols, rows, type, 2);
}
/*!
* \brief Allocate memory for a (not) quadratic linear equation system which includes the Matrix A and vector x
*
* This function calls #N_alloc_les_param
*
* \param cols int
* \param rows int
* \param type int
* \return N_les *
*
* */
N_les *N_alloc_nquad_les_Ax(int cols, int rows, int type)
{
return N_alloc_les_param(cols, rows, type, 1);
}
/*!
* \brief Allocate memory for a (not) quadratic linear equation system which includes the Matrix A
*
* This function calls #N_alloc_les_param
*
* \param cols int
* \param rows int
* \param type int
* \return N_les *
*
* */
N_les *N_alloc_nquad_les_A(int cols, int rows, int type)
{
return N_alloc_les_param(cols, rows, type, 0);
}
/*!
* \brief Allocate memory for a (not) quadratic linear equation system which includes the Matrix A, vector x and vector b
*
* This function calls #N_alloc_les_param
*
* \param cols int
* \param rows int
* \param type int
* \return N_les *
*
* */
N_les *N_alloc_nquad_les_Ax_b(int cols, int rows, int type)
{
return N_alloc_les_param(cols, rows, type, 2);
}
/*!
* \brief Allocate memory for a quadratic linear equation system which includes the Matrix A, vector x and vector b
*
* This function calls #N_alloc_les_param
*
* \param rows int
* \param type int
* \return N_les *
*
* */
N_les *N_alloc_les(int rows, int type)
{
return N_alloc_les_param(rows, rows, type, 2);
}
/*!
* \brief Allocate memory for a quadratic linear equation system which includes the Matrix A and vector x
*
* This function calls #N_alloc_les_param
*
* \param rows int
* \param type int
* \return N_les *
*
* */
N_les *N_alloc_les_Ax(int rows, int type)
{
return N_alloc_les_param(rows, rows, type, 1);
}
/*!
* \brief Allocate memory for a quadratic linear equation system which includes the Matrix A
*
* This function calls #N_alloc_les_param
*
* \param rows int
* \param type int
* \return N_les *
*
* */
N_les *N_alloc_les_A(int rows, int type)
{
return N_alloc_les_param(rows, rows, type, 0);
}
/*!
* \brief Allocate memory for a quadratic linear equation system which includes the Matrix A, vector x and vector b
*
* This function calls #N_alloc_les_param
*
* \param rows int
* \param type int
* \return N_les *
*
* */
N_les *N_alloc_les_Ax_b(int rows, int type)
{
return N_alloc_les_param(rows, rows, type, 2);
}
/*!
* \brief Allocate memory for a quadratic or not quadratic linear equation system
*
* The type of the linear equation system must be N_NORMAL_LES for
* a regular quadratic matrix or N_SPARSE_LES for a sparse matrix
*
* <p>
* In case of N_NORMAL_LES
*
* A quadratic matrix of size rows*rows*sizeof(double) will allocated
*
* <p>
* In case of N_SPARSE_LES
*
* a vector of size row will be allocated, ready to hold additional allocated sparse vectors.
* each sparse vector may have a different size.
*
* Parameter parts defines which parts of the les should be allocated.
* The number of columns and rows defines if the matrix is quadratic.
*
* \param cols int
* \param rows int
* \param type int
* \param parts int -- 2 = A, x and b; 1 = A and x; 0 = A allocated
* \return N_les *
*
* */
N_les *N_alloc_les_param(int cols, int rows, int type, int parts)
{
N_les *les;
int i;
if (type == N_SPARSE_LES)
G_debug(2,
"Allocate memory for a sparse linear equation system with %i rows\n",
rows);
else
G_debug(2,
"Allocate memory for a regular linear equation system with %i rows\n",
rows);
les = (N_les *) G_calloc(1, sizeof(N_les));
if (parts > 0) {
les->x = (double *)G_calloc(cols, sizeof(double));
for (i = 0; i < cols; i++)
les->x[i] = 0.0;
}
if (parts > 1) {
les->b = (double *)G_calloc(cols, sizeof(double));
for (i = 0; i < cols; i++)
les->b[i] = 0.0;
}
les->A = NULL;
les->Asp = NULL;
les->rows = rows;
les->cols = cols;
if (rows == cols)
les->quad = 1;
else
les->quad = 0;
if (type == N_SPARSE_LES) {
les->Asp = G_math_alloc_spmatrix(rows);
les->type = N_SPARSE_LES;
}
else {
les->A = G_alloc_matrix(rows, cols);
les->type = N_NORMAL_LES;
}
return les;
}
/*!
*
* \brief prints the linear equation system to stdout
*
* <p>
* Format:
* A*x = b
*
* <p>
* Example
\verbatim
2 1 1 1 * 2 = 0.1
1 2 0 0 * 3 = 0.2
1 0 2 0 * 3 = 0.2
1 0 0 2 * 2 = 0.1
\endverbatim
*
* \param les N_les *
* \return void
*
* */
void N_print_les(N_les * les)
{
int i, j, k, out;
if (les->type == N_SPARSE_LES) {
for (i = 0; i < les->rows; i++) {
for (j = 0; j < les->cols; j++) {
out = 0;
for (k = 0; k < les->Asp[i]->cols; k++) {
if (les->Asp[i]->index[k] == j) {
fprintf(stdout, "%4.5f ", les->Asp[i]->values[k]);
out = 1;
}
}
if (!out)
fprintf(stdout, "%4.5f ", 0.0);
}
if (les->x)
fprintf(stdout, " * %4.5f", les->x[i]);
if (les->b)
fprintf(stdout, " = %4.5f ", les->b[i]);
fprintf(stdout, "\n");
}
}
else {
for (i = 0; i < les->rows; i++) {
for (j = 0; j < les->cols; j++) {
fprintf(stdout, "%4.5f ", les->A[i][j]);
}
if (les->x)
fprintf(stdout, " * %4.5f", les->x[i]);
if (les->b)
fprintf(stdout, " = %4.5f ", les->b[i]);
fprintf(stdout, "\n");
}
}
return;
}
/*!
* \brief Release the memory of the linear equation system
*
* \param les N_les *
* \return void
*
* */
void N_free_les(N_les * les)
{
if (les->type == N_SPARSE_LES)
G_debug(2, "Releasing memory of a sparse linear equation system\n");
else
G_debug(2, "Releasing memory of a regular linear equation system\n");
if (les) {
if (les->x)
G_free(les->x);
if (les->b)
G_free(les->b);
if (les->type == N_SPARSE_LES) {
if (les->Asp) {
G_math_free_spmatrix(les->Asp, les->rows);
}
}
else {
if (les->A) {
G_free_matrix(les->A);
}
}
free(les);
}
return;
}