Probleme d'utilisation de Jacobi.c de Numerical Recipes

**Rox the rocky** · 10/10/2007, 19h56

Bonjour , je n'arrive pas à faire marcher le code de jacobi de numerical recipes.
Voici ce que je fais :

Je prend le code tel-quel et je lui rajoute une petite fonction "main" (ci-dessous ) pour pouvoir le tester, censée me renvoyer les valeurs propres.

Code :

Sélectionner tout - Visualiser dans une fenêtre à part

1
2
3
4
5
6
7
8
9
10
11
12
13
14
 
 void main()
{
float a[4][4],v[4][4];
float d[4];
int nrot,i;
a[0][0]=1;a[0][1]=2;a[0][2]=3;a[0][3]=4;
a[1][0]=2;a[1][1]=2;a[1][2]=5;a[1][3]=7;
a[2][0]=3;a[2][1]=5;a[2][2]=3;a[2][3]=2;
a[3][0]=4;a[3][1]=7;a[3][2]=2;a[3][3]=1;
jacobi(a,4,d,v,nrot);
 
for(i=0;i<4;i++) {printf("%f ",d[i]);};
}

En parallèle , j'ai téléchargé nrutil.h et nrutil.c , que j'ai mis dans le même dossier que jacobi.c

ma commande pour compiler le tout est la suivante :

Code :

Sélectionner tout - Visualiser dans une fenêtre à part

 > gcc jacobi.c nrutil.c -lm

Ce qui ne semble pas poser de probleme car il ne recontre pas d'erreur et me sort bien un executable ( a.out )

Seulement quand je le fais tourner il ne me sort qu'une erreur de segmentation.
Je me demande si mon erreur ne vient pas des déclarations de variables dans mon fonction main. Ou peut etre fallait il faire quelque chose de plus avec les fichiers nrutil ?

**Rox the rocky** · 10/10/2007, 21h08

En faisant des tests d'entrée , je me rends compte que la fonction main n'est meme pas appelée , donc encore moins ma fonction jacobi . Je ne comprend plus rien.

**Rox the rocky** · 11/10/2007, 16h40

ouiiin , personne qui a deja utilisé cette fonction ?

**Thierry Chappuis** · 11/10/2007, 17h40

On peut pas tester, tu n'as pas posté le code. Et comme personne ne veut passer du temps à aller le chercher dans Numerical Recipes...

Poste le code de Jacobi.c et celui de ton code client, et on verra.

Thierry

**Rox the rocky** · 11/10/2007, 18h37

En premier voici le code de jacobi ( je n'ai moi même ajouté que la fonction main ):

Code :

Sélectionner tout - Visualiser dans une fenêtre à part

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
 
#include<stdio.h>
#include<stdlib.h>
#include<string.h>
#include <math.h>
#include "nrutil.h"
#define ROTATE(a,i,j,k,l) g=a[i][j];h=a[k][l];a[i][j]=g-s*(h+g*tau);\
        a[k][l]=h+s*(g-h*tau);
 
 
void jacobi(float **a,int n,float d[],float **v,int *nrot)
{
 int j,iq,ip,i;
 float tresh,theta,tau,t,sm,s,h,g,c,*b,*z;
 
b=vector(1,n);
z=vector(1,n);
for (ip=1;ip<=n;ip++) {
  for (iq=1;iq<=n;iq++) v[ip][iq]=0.0;
  v[ip][ip]=1.0;
  }
 
for (ip=1;ip<=n;ip++) {
  b[ip]=d[ip]=a[ip][ip];
  z[ip]=0.0;
}
 
*nrot=0;
for (i=1;i<=50;i++) {
  sm=0.0;
  for (ip=1;ip<=n-1;ip++) {
   for (iq=ip+1;iq<=n;iq++)
     sm += fabs(a[ip][iq]);
}
if (sm==0.0) {
 free_vector(z,1,n);
 free_vector(b,1,n);
 return;
}
 
if ( i<4)
    tresh=0.2*sm/(n*n);
else
   tresh=0.0;
 
for (ip=1;ip<=n-1;ip++) {
 for (iq=ip+1;iq<=n;iq++) {
 g=100.0*fabs(a[ip][iq]);
 if ( i>4 && (float)(fabs(d[ip])+g)==(float)fabs(d[ip])
    && (float)(fabs(d[iq])+g)==(float)fabs(d[iq]))
    a[ip][iq]=0.0;
else if (fabs(a[ip][iq])>tresh) {
 h=d[iq]-d[ip];
 if ((float)(fabs(h)+g)==(float)fabs(h))
   t=(a[ip][iq])/h;
 else {
   theta=0.5*h/(a[ip][iq]);
   t=1.0/(fabs(theta)+sqrt(1.0+theta*theta));
 if ( theta < 0.0 ) t = -t;
}
c=1.0/sqrt(1+t*t);
s=t*c;
tau=s/(1.0+c);
h=t*a[ip][iq];
z[ip] -= h;
z[iq] += h;
d[ip] -= h;
d[iq] += h;
a[ip][iq]=0.0;
for (j=1;j<=ip-1;j++) {
ROTATE(a,j,ip,j,iq)
}
for (j=ip+1;j<=iq-1;j++) {
ROTATE(a,ip,j,j,iq)
}
for (j=iq+1;j<=n;j++) {
ROTATE(a,ip,j,iq,j)
}
for (j=1;j<=n;j++) {
ROTATE(v,j,ip,j,iq)
}
++(*nrot);
}
}
}
for (ip=1;ip<=n;ip++) {
b[ip] += z[ip];
d[ip]=b[ip];
z[ip]=0.0;
}
}
nrerror("Too many iterations");
}
 
main(int argc, char *argv[])
{
printf("jusque là ok");
float a[4][4],v[4][4];
float d[4];
int nrot,i;
 
a[0][0]=1;a[0][1]=2;a[0][2]=3;a[0][3]=4;
a[1][0]=2;a[1][1]=2;a[1][2]=5;a[1][3]=7;
a[2][0]=3;a[2][1]=5;a[2][2]=3;a[2][3]=2;
a[3][0]=4;a[3][1]=7;a[3][2]=2;a[3][3]=1;
 
jacobi(a,4,d,v,nrot);
 
for(i=0;i<4;i++) {printf("%f ",d[i]);};
}

En deuxieme le fichier nrutil.c :

Code :

Sélectionner tout - Visualiser dans une fenêtre à part

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
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
 
#if defined(__STDC__) || defined(ANSI) || defined(NRANSI) /* ANSI */
 
#include <stdio.h>
#include <stddef.h>
#include <stdlib.h>
#define NR_END 1
#define FREE_ARG char*
 
void nrerror(char error_text[])
/* Numerical Recipes standard error handler */
{
	fprintf(stderr,"Numerical Recipes run-time error...\n");
	fprintf(stderr,"%s\n",error_text);
	fprintf(stderr,"...now exiting to system...\n");
	exit(1);
}
 
float *vector(long nl, long nh)
/* allocate a float vector with subscript range v[nl..nh] */
{
	float *v;
 
	v=(float *)malloc((size_t) ((nh-nl+1+NR_END)*sizeof(float)));
	if (!v) nrerror("allocation failure in vector()");
	return v-nl+NR_END;
}
 
int *ivector(long nl, long nh)
/* allocate an int vector with subscript range v[nl..nh] */
{
	int *v;
 
	v=(int *)malloc((size_t) ((nh-nl+1+NR_END)*sizeof(int)));
	if (!v) nrerror("allocation failure in ivector()");
	return v-nl+NR_END;
}
 
unsigned char *cvector(long nl, long nh)
/* allocate an unsigned char vector with subscript range v[nl..nh] */
{
	unsigned char *v;
 
	v=(unsigned char *)malloc((size_t) ((nh-nl+1+NR_END)*sizeof(unsigned char)));
	if (!v) nrerror("allocation failure in cvector()");
	return v-nl+NR_END;
}
 
unsigned long *lvector(long nl, long nh)
/* allocate an unsigned long vector with subscript range v[nl..nh] */
{
	unsigned long *v;
 
	v=(unsigned long *)malloc((size_t) ((nh-nl+1+NR_END)*sizeof(long)));
	if (!v) nrerror("allocation failure in lvector()");
	return v-nl+NR_END;
}
 
double *dvector(long nl, long nh)
/* allocate a double vector with subscript range v[nl..nh] */
{
	double *v;
 
	v=(double *)malloc((size_t) ((nh-nl+1+NR_END)*sizeof(double)));
	if (!v) nrerror("allocation failure in dvector()");
	return v-nl+NR_END;
}
 
float **matrix(long nrl, long nrh, long ncl, long nch)
/* allocate a float matrix with subscript range m[nrl..nrh][ncl..nch] */
{
	long i, nrow=nrh-nrl+1,ncol=nch-ncl+1;
	float **m;
 
	/* allocate pointers to rows */
	m=(float **) malloc((size_t)((nrow+NR_END)*sizeof(float*)));
	if (!m) nrerror("allocation failure 1 in matrix()");
	m += NR_END;
	m -= nrl;
 
	/* allocate rows and set pointers to them */
	m[nrl]=(float *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(float)));
	if (!m[nrl]) nrerror("allocation failure 2 in matrix()");
	m[nrl] += NR_END;
	m[nrl] -= ncl;
 
	for(i=nrl+1;i<=nrh;i++) m[i]=m[i-1]+ncol;
 
	/* return pointer to array of pointers to rows */
	return m;
}
 
double **dmatrix(long nrl, long nrh, long ncl, long nch)
/* allocate a double matrix with subscript range m[nrl..nrh][ncl..nch] */
{
	long i, nrow=nrh-nrl+1,ncol=nch-ncl+1;
	double **m;
 
	/* allocate pointers to rows */
	m=(double **) malloc((size_t)((nrow+NR_END)*sizeof(double*)));
	if (!m) nrerror("allocation failure 1 in matrix()");
	m += NR_END;
	m -= nrl;
 
	/* allocate rows and set pointers to them */
	m[nrl]=(double *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(double)));
	if (!m[nrl]) nrerror("allocation failure 2 in matrix()");
	m[nrl] += NR_END;
	m[nrl] -= ncl;
 
	for(i=nrl+1;i<=nrh;i++) m[i]=m[i-1]+ncol;
 
	/* return pointer to array of pointers to rows */
	return m;
}
 
int **imatrix(long nrl, long nrh, long ncl, long nch)
/* allocate a int matrix with subscript range m[nrl..nrh][ncl..nch] */
{
	long i, nrow=nrh-nrl+1,ncol=nch-ncl+1;
	int **m;
 
	/* allocate pointers to rows */
	m=(int **) malloc((size_t)((nrow+NR_END)*sizeof(int*)));
	if (!m) nrerror("allocation failure 1 in matrix()");
	m += NR_END;
	m -= nrl;
 
 
	/* allocate rows and set pointers to them */
	m[nrl]=(int *) malloc((size_t)((nrow*ncol+NR_END)*sizeof(int)));
	if (!m[nrl]) nrerror("allocation failure 2 in matrix()");
	m[nrl] += NR_END;
	m[nrl] -= ncl;
 
	for(i=nrl+1;i<=nrh;i++) m[i]=m[i-1]+ncol;
 
	/* return pointer to array of pointers to rows */
	return m;
}
 
float **submatrix(float **a, long oldrl, long oldrh, long oldcl, long oldch,
	long newrl, long newcl)
/* point a submatrix [newrl..][newcl..] to a[oldrl..oldrh][oldcl..oldch] */
{
	long i,j,nrow=oldrh-oldrl+1,ncol=oldcl-newcl;
	float **m;
 
	/* allocate array of pointers to rows */
	m=(float **) malloc((size_t) ((nrow+NR_END)*sizeof(float*)));
	if (!m) nrerror("allocation failure in submatrix()");
	m += NR_END;
	m -= newrl;
 
	/* set pointers to rows */
	for(i=oldrl,j=newrl;i<=oldrh;i++,j++) m[j]=a[i]+ncol;
 
	/* return pointer to array of pointers to rows */
	return m;
}
 
float **convert_matrix(float *a, long nrl, long nrh, long ncl, long nch)
/* allocate a float matrix m[nrl..nrh][ncl..nch] that points to the matrix
declared in the standard C manner as a[nrow][ncol], where nrow=nrh-nrl+1
and ncol=nch-ncl+1. The routine should be called with the address
&a[0][0] as the first argument. */
{
	long i,j,nrow=nrh-nrl+1,ncol=nch-ncl+1;
	float **m;
 
	/* allocate pointers to rows */
	m=(float **) malloc((size_t) ((nrow+NR_END)*sizeof(float*)));
	if (!m) nrerror("allocation failure in convert_matrix()");
	m += NR_END;
	m -= nrl;
 
	/* set pointers to rows */
	m[nrl]=a-ncl;
	for(i=1,j=nrl+1;i<nrow;i++,j++) m[j]=m[j-1]+ncol;
	/* return pointer to array of pointers to rows */
	return m;
}
 
float ***f3tensor(long nrl, long nrh, long ncl, long nch, long ndl, long ndh)
/* allocate a float 3tensor with range t[nrl..nrh][ncl..nch][ndl..ndh] */
{
	long i,j,nrow=nrh-nrl+1,ncol=nch-ncl+1,ndep=ndh-ndl+1;
	float ***t;
 
	/* allocate pointers to pointers to rows */
	t=(float ***) malloc((size_t)((nrow+NR_END)*sizeof(float**)));
	if (!t) nrerror("allocation failure 1 in f3tensor()");
	t += NR_END;
	t -= nrl;
 
	/* allocate pointers to rows and set pointers to them */
	t[nrl]=(float **) malloc((size_t)((nrow*ncol+NR_END)*sizeof(float*)));
	if (!t[nrl]) nrerror("allocation failure 2 in f3tensor()");
	t[nrl] += NR_END;
	t[nrl] -= ncl;
 
	/* allocate rows and set pointers to them */
	t[nrl][ncl]=(float *) malloc((size_t)((nrow*ncol*ndep+NR_END)*sizeof(float)));
	if (!t[nrl][ncl]) nrerror("allocation failure 3 in f3tensor()");
	t[nrl][ncl] += NR_END;
	t[nrl][ncl] -= ndl;
 
	for(j=ncl+1;j<=nch;j++) t[nrl][j]=t[nrl][j-1]+ndep;
	for(i=nrl+1;i<=nrh;i++) {
		t[i]=t[i-1]+ncol;
		t[i][ncl]=t[i-1][ncl]+ncol*ndep;
		for(j=ncl+1;j<=nch;j++) t[i][j]=t[i][j-1]+ndep;
	}
 
	/* return pointer to array of pointers to rows */
	return t;
}
 
void free_vector(float *v, long nl, long nh)
/* free a float vector allocated with vector() */
{
	free((FREE_ARG) (v+nl-NR_END));
}
 
void free_ivector(int *v, long nl, long nh)
/* free an int vector allocated with ivector() */
{
	free((FREE_ARG) (v+nl-NR_END));
}
 
void free_cvector(unsigned char *v, long nl, long nh)
/* free an unsigned char vector allocated with cvector() */
{
	free((FREE_ARG) (v+nl-NR_END));
}
 
void free_lvector(unsigned long *v, long nl, long nh)
/* free an unsigned long vector allocated with lvector() */
{
	free((FREE_ARG) (v+nl-NR_END));
}
 
void free_dvector(double *v, long nl, long nh)
/* free a double vector allocated with dvector() */
{
	free((FREE_ARG) (v+nl-NR_END));
}
 
void free_matrix(float **m, long nrl, long nrh, long ncl, long nch)
/* free a float matrix allocated by matrix() */
{
	free((FREE_ARG) (m[nrl]+ncl-NR_END));
	free((FREE_ARG) (m+nrl-NR_END));
}
 
void free_dmatrix(double **m, long nrl, long nrh, long ncl, long nch)
/* free a double matrix allocated by dmatrix() */
{
	free((FREE_ARG) (m[nrl]+ncl-NR_END));
	free((FREE_ARG) (m+nrl-NR_END));
}
 
void free_imatrix(int **m, long nrl, long nrh, long ncl, long nch)
/* free an int matrix allocated by imatrix() */
{
	free((FREE_ARG) (m[nrl]+ncl-NR_END));
	free((FREE_ARG) (m+nrl-NR_END));
}
 
void free_submatrix(float **b, long nrl, long nrh, long ncl, long nch)
/* free a submatrix allocated by submatrix() */
{
	free((FREE_ARG) (b+nrl-NR_END));
}
 
void free_convert_matrix(float **b, long nrl, long nrh, long ncl, long nch)
/* free a matrix allocated by convert_matrix() */
{
	free((FREE_ARG) (b+nrl-NR_END));
}
 
void free_f3tensor(float ***t, long nrl, long nrh, long ncl, long nch,
	long ndl, long ndh)
/* free a float f3tensor allocated by f3tensor() */
{
	free((FREE_ARG) (t[nrl][ncl]+ndl-NR_END));
	free((FREE_ARG) (t[nrl]+ncl-NR_END));
	free((FREE_ARG) (t+nrl-NR_END));
}
 
#else /* ANSI */
/* traditional - K&R */
 
#include <stdio.h>
#define NR_END 1
#define FREE_ARG char*
 
void nrerror(error_text)
char error_text[];
/* Numerical Recipes standard error handler */
{
	void exit();
 
	fprintf(stderr,"Numerical Recipes run-time error...\n");
	fprintf(stderr,"%s\n",error_text);
	fprintf(stderr,"...now exiting to system...\n");
	exit(1);
}
 
float *vector(nl,nh)
long nh,nl;
/* allocate a float vector with subscript range v[nl..nh] */
{
	float *v;
 
	v=(float *)malloc((unsigned int) ((nh-nl+1+NR_END)*sizeof(float)));
	if (!v) nrerror("allocation failure in vector()");
	return v-nl+NR_END;
}
 
int *ivector(nl,nh)
long nh,nl;
/* allocate an int vector with subscript range v[nl..nh] */
{
	int *v;
 
	v=(int *)malloc((unsigned int) ((nh-nl+1+NR_END)*sizeof(int)));
	if (!v) nrerror("allocation failure in ivector()");
	return v-nl+NR_END;
}
 
unsigned char *cvector(nl,nh)
long nh,nl;
/* allocate an unsigned char vector with subscript range v[nl..nh] */
{
	unsigned char *v;
 
	v=(unsigned char *)malloc((unsigned int) ((nh-nl+1+NR_END)*sizeof(unsigned char)));
	if (!v) nrerror("allocation failure in cvector()");
	return v-nl+NR_END;
}
 
unsigned long *lvector(nl,nh)
long nh,nl;
/* allocate an unsigned long vector with subscript range v[nl..nh] */
{
	unsigned long *v;
 
	v=(unsigned long *)malloc((unsigned int) ((nh-nl+1+NR_END)*sizeof(long)));
	if (!v) nrerror("allocation failure in lvector()");
	return v-nl+NR_END;
}
 
double *dvector(nl,nh)
long nh,nl;
/* allocate a double vector with subscript range v[nl..nh] */
{
	double *v;
 
	v=(double *)malloc((unsigned int) ((nh-nl+1+NR_END)*sizeof(double)));
	if (!v) nrerror("allocation failure in dvector()");
	return v-nl+NR_END;
}
 
float **matrix(nrl,nrh,ncl,nch)
long nch,ncl,nrh,nrl;
/* allocate a float matrix with subscript range m[nrl..nrh][ncl..nch] */
{
	long i, nrow=nrh-nrl+1,ncol=nch-ncl+1;
	float **m;
 
	/* allocate pointers to rows */
	m=(float **) malloc((unsigned int)((nrow+NR_END)*sizeof(float*)));
	if (!m) nrerror("allocation failure 1 in matrix()");
	m += NR_END;
	m -= nrl;
 
	/* allocate rows and set pointers to them */
	m[nrl]=(float *) malloc((unsigned int)((nrow*ncol+NR_END)*sizeof(float)));
	if (!m[nrl]) nrerror("allocation failure 2 in matrix()");
	m[nrl] += NR_END;
	m[nrl] -= ncl;
 
	for(i=nrl+1;i<=nrh;i++) m[i]=m[i-1]+ncol;
 
	/* return pointer to array of pointers to rows */
	return m;
}
 
double **dmatrix(nrl,nrh,ncl,nch)
long nch,ncl,nrh,nrl;
/* allocate a double matrix with subscript range m[nrl..nrh][ncl..nch] */
{
	long i, nrow=nrh-nrl+1,ncol=nch-ncl+1;
	double **m;
 
	/* allocate pointers to rows */
	m=(double **) malloc((unsigned int)((nrow+NR_END)*sizeof(double*)));
	if (!m) nrerror("allocation failure 1 in matrix()");
	m += NR_END;
	m -= nrl;
 
	/* allocate rows and set pointers to them */
	m[nrl]=(double *) malloc((unsigned int)((nrow*ncol+NR_END)*sizeof(double)));
	if (!m[nrl]) nrerror("allocation failure 2 in matrix()");
	m[nrl] += NR_END;
	m[nrl] -= ncl;
 
	for(i=nrl+1;i<=nrh;i++) m[i]=m[i-1]+ncol;
 
	/* return pointer to array of pointers to rows */
	return m;
}
 
int **imatrix(nrl,nrh,ncl,nch)
long nch,ncl,nrh,nrl;
/* allocate a int matrix with subscript range m[nrl..nrh][ncl..nch] */
{
	long i, nrow=nrh-nrl+1,ncol=nch-ncl+1;
	int **m;
 
	/* allocate pointers to rows */
	m=(int **) malloc((unsigned int)((nrow+NR_END)*sizeof(int*)));
	if (!m) nrerror("allocation failure 1 in matrix()");
	m += NR_END;
	m -= nrl;
 
 
	/* allocate rows and set pointers to them */
	m[nrl]=(int *) malloc((unsigned int)((nrow*ncol+NR_END)*sizeof(int)));
	if (!m[nrl]) nrerror("allocation failure 2 in matrix()");
	m[nrl] += NR_END;
	m[nrl] -= ncl;
 
	for(i=nrl+1;i<=nrh;i++) m[i]=m[i-1]+ncol;
 
	/* return pointer to array of pointers to rows */
	return m;
}
 
float **submatrix(a,oldrl,oldrh,oldcl,oldch,newrl,newcl)
float **a;
long newcl,newrl,oldch,oldcl,oldrh,oldrl;
/* point a submatrix [newrl..][newcl..] to a[oldrl..oldrh][oldcl..oldch] */
{
	long i,j,nrow=oldrh-oldrl+1,ncol=oldcl-newcl;
	float **m;
 
	/* allocate array of pointers to rows */
	m=(float **) malloc((unsigned int) ((nrow+NR_END)*sizeof(float*)));
	if (!m) nrerror("allocation failure in submatrix()");
	m += NR_END;
	m -= newrl;
 
	/* set pointers to rows */
	for(i=oldrl,j=newrl;i<=oldrh;i++,j++) m[j]=a[i]+ncol;
 
	/* return pointer to array of pointers to rows */
	return m;
}
 
float **convert_matrix(a,nrl,nrh,ncl,nch)
float *a;
long nch,ncl,nrh,nrl;
/* allocate a float matrix m[nrl..nrh][ncl..nch] that points to the matrix
declared in the standard C manner as a[nrow][ncol], where nrow=nrh-nrl+1
and ncol=nch-ncl+1. The routine should be called with the address
&a[0][0] as the first argument. */
{
	long i,j,nrow=nrh-nrl+1,ncol=nch-ncl+1;
	float **m;
 
	/* allocate pointers to rows */
	m=(float **) malloc((unsigned int) ((nrow+NR_END)*sizeof(float*)));
	if (!m)	nrerror("allocation failure in convert_matrix()");
	m += NR_END;
	m -= nrl;
 
	/* set pointers to rows */
	m[nrl]=a-ncl;
	for(i=1,j=nrl+1;i<nrow;i++,j++) m[j]=m[j-1]+ncol;
	/* return pointer to array of pointers to rows */
	return m;
}
 
float ***f3tensor(nrl,nrh,ncl,nch,ndl,ndh)
long nch,ncl,ndh,ndl,nrh,nrl;
/* allocate a float 3tensor with range t[nrl..nrh][ncl..nch][ndl..ndh] */
{
	long i,j,nrow=nrh-nrl+1,ncol=nch-ncl+1,ndep=ndh-ndl+1;
	float ***t;
 
	/* allocate pointers to pointers to rows */
	t=(float ***) malloc((unsigned int)((nrow+NR_END)*sizeof(float**)));
	if (!t) nrerror("allocation failure 1 in f3tensor()");
	t += NR_END;
	t -= nrl;
 
	/* allocate pointers to rows and set pointers to them */
	t[nrl]=(float **) malloc((unsigned int)((nrow*ncol+NR_END)*sizeof(float*)));
	if (!t[nrl]) nrerror("allocation failure 2 in f3tensor()");
	t[nrl] += NR_END;
	t[nrl] -= ncl;
 
	/* allocate rows and set pointers to them */
	t[nrl][ncl]=(float *) malloc((unsigned int)((nrow*ncol*ndep+NR_END)*sizeof(float)));
	if (!t[nrl][ncl]) nrerror("allocation failure 3 in f3tensor()");
	t[nrl][ncl] += NR_END;
	t[nrl][ncl] -= ndl;
 
	for(j=ncl+1;j<=nch;j++) t[nrl][j]=t[nrl][j-1]+ndep;
	for(i=nrl+1;i<=nrh;i++) {
		t[i]=t[i-1]+ncol;
		t[i][ncl]=t[i-1][ncl]+ncol*ndep;
		for(j=ncl+1;j<=nch;j++) t[i][j]=t[i][j-1]+ndep;
	}
 
	/* return pointer to array of pointers to rows */
	return t;
}
 
void free_vector(v,nl,nh)
float *v;
long nh,nl;
/* free a float vector allocated with vector() */
{
	free((FREE_ARG) (v+nl-NR_END));
}
 
void free_ivector(v,nl,nh)
int *v;
long nh,nl;
/* free an int vector allocated with ivector() */
{
	free((FREE_ARG) (v+nl-NR_END));
}
 
void free_cvector(v,nl,nh)
long nh,nl;
unsigned char *v;
/* free an unsigned char vector allocated with cvector() */
{
	free((FREE_ARG) (v+nl-NR_END));
}
 
void free_lvector(v,nl,nh)
long nh,nl;
unsigned long *v;
/* free an unsigned long vector allocated with lvector() */
{
	free((FREE_ARG) (v+nl-NR_END));
}
 
void free_dvector(v,nl,nh)
double *v;
long nh,nl;
/* free a double vector allocated with dvector() */
{
	free((FREE_ARG) (v+nl-NR_END));
}
 
void free_matrix(m,nrl,nrh,ncl,nch)
float **m;
long nch,ncl,nrh,nrl;
/* free a float matrix allocated by matrix() */
{
	free((FREE_ARG) (m[nrl]+ncl-NR_END));
	free((FREE_ARG) (m+nrl-NR_END));
}
 
void free_dmatrix(m,nrl,nrh,ncl,nch)
double **m;
long nch,ncl,nrh,nrl;
/* free a double matrix allocated by dmatrix() */
{
	free((FREE_ARG) (m[nrl]+ncl-NR_END));
	free((FREE_ARG) (m+nrl-NR_END));
}
 
void free_imatrix(m,nrl,nrh,ncl,nch)
int **m;
long nch,ncl,nrh,nrl;
/* free an int matrix allocated by imatrix() */
{
	free((FREE_ARG) (m[nrl]+ncl-NR_END));
	free((FREE_ARG) (m+nrl-NR_END));
}
 
void free_submatrix(b,nrl,nrh,ncl,nch)
float **b;
long nch,ncl,nrh,nrl;
/* free a submatrix allocated by submatrix() */
{
	free((FREE_ARG) (b+nrl-NR_END));
}
 
void free_convert_matrix(b,nrl,nrh,ncl,nch)
float **b;
long nch,ncl,nrh,nrl;
/* free a matrix allocated by convert_matrix() */
{
	free((FREE_ARG) (b+nrl-NR_END));
}
 
void free_f3tensor(t,nrl,nrh,ncl,nch,ndl,ndh)
float ***t;
long nch,ncl,ndh,ndl,nrh,nrl;
/* free a float f3tensor allocated by f3tensor() */
{
	free((FREE_ARG) (t[nrl][ncl]+ndl-NR_END));
	free((FREE_ARG) (t[nrl]+ncl-NR_END));
	free((FREE_ARG) (t+nrl-NR_END));
}
 
#endif /* ANSI */

Et en troisième le fichier nrutil.h

Code :

Sélectionner tout - Visualiser dans une fenêtre à part

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
 
#ifndef _NR_UTILS_H_
#define _NR_UTILS_H_
 
static float sqrarg;
#define SQR(a) ((sqrarg=(a)) == 0.0 ? 0.0 : sqrarg*sqrarg)
 
static double dsqrarg;
#define DSQR(a) ((dsqrarg=(a)) == 0.0 ? 0.0 : dsqrarg*dsqrarg)
 
static double dmaxarg1,dmaxarg2;
#define DMAX(a,b) (dmaxarg1=(a),dmaxarg2=(b),(dmaxarg1) > (dmaxarg2) ?\
        (dmaxarg1) : (dmaxarg2))
 
static double dminarg1,dminarg2;
#define DMIN(a,b) (dminarg1=(a),dminarg2=(b),(dminarg1) < (dminarg2) ?\
        (dminarg1) : (dminarg2))
 
static float maxarg1,maxarg2;
#define FMAX(a,b) (maxarg1=(a),maxarg2=(b),(maxarg1) > (maxarg2) ?\
        (maxarg1) : (maxarg2))
 
static float minarg1,minarg2;
#define FMIN(a,b) (minarg1=(a),minarg2=(b),(minarg1) < (minarg2) ?\
        (minarg1) : (minarg2))
 
static long lmaxarg1,lmaxarg2;
#define LMAX(a,b) (lmaxarg1=(a),lmaxarg2=(b),(lmaxarg1) > (lmaxarg2) ?\
        (lmaxarg1) : (lmaxarg2))
 
static long lminarg1,lminarg2;
#define LMIN(a,b) (lminarg1=(a),lminarg2=(b),(lminarg1) < (lminarg2) ?\
        (lminarg1) : (lminarg2))
 
static int imaxarg1,imaxarg2;
#define IMAX(a,b) (imaxarg1=(a),imaxarg2=(b),(imaxarg1) > (imaxarg2) ?\
        (imaxarg1) : (imaxarg2))
 
static int iminarg1,iminarg2;
#define IMIN(a,b) (iminarg1=(a),iminarg2=(b),(iminarg1) < (iminarg2) ?\
        (iminarg1) : (iminarg2))
 
#define SIGN(a,b) ((b) >= 0.0 ? fabs(a) : -fabs(a))
 
#if defined(__STDC__) || defined(ANSI) || defined(NRANSI) /* ANSI */
 
void nrerror(char error_text[]);
float *vector(long nl, long nh);
int *ivector(long nl, long nh);
unsigned char *cvector(long nl, long nh);
unsigned long *lvector(long nl, long nh);
double *dvector(long nl, long nh);
float **matrix(long nrl, long nrh, long ncl, long nch);
double **dmatrix(long nrl, long nrh, long ncl, long nch);
int **imatrix(long nrl, long nrh, long ncl, long nch);
float **submatrix(float **a, long oldrl, long oldrh, long oldcl, long oldch,
	long newrl, long newcl);
float **convert_matrix(float *a, long nrl, long nrh, long ncl, long nch);
float ***f3tensor(long nrl, long nrh, long ncl, long nch, long ndl, long ndh);
void free_vector(float *v, long nl, long nh);
void free_ivector(int *v, long nl, long nh);
void free_cvector(unsigned char *v, long nl, long nh);
void free_lvector(unsigned long *v, long nl, long nh);
void free_dvector(double *v, long nl, long nh);
void free_matrix(float **m, long nrl, long nrh, long ncl, long nch);
void free_dmatrix(double **m, long nrl, long nrh, long ncl, long nch);
void free_imatrix(int **m, long nrl, long nrh, long ncl, long nch);
void free_submatrix(float **b, long nrl, long nrh, long ncl, long nch);
void free_convert_matrix(float **b, long nrl, long nrh, long ncl, long nch);
void free_f3tensor(float ***t, long nrl, long nrh, long ncl, long nch,
	long ndl, long ndh);
 
#else /* ANSI */
/* traditional - K&R */
 
void nrerror();
float *vector();
float **matrix();
float **submatrix();
float **convert_matrix();
float ***f3tensor();
double *dvector();
double **dmatrix();
int *ivector();
int **imatrix();
unsigned char *cvector();
unsigned long *lvector();
void free_vector();
void free_dvector();
void free_ivector();
void free_cvector();
void free_lvector();
void free_matrix();
void free_submatrix();
void free_convert_matrix();
void free_dmatrix();
void free_imatrix();
void free_f3tensor();
 
#endif /* ANSI */
 
#endif /* _NR_UTILS_H_ */

**Gruik** · 11/10/2007, 19h25

Salut,

Si tu avais la doc de la fonction jacobi, on pourrait tenter quelquechose mais là... comment savoir ce qu'on est sensés passer à la fonction?

**Rox the rocky** · 11/10/2007, 19h37

oui pardon , j'ai ommi le commentaire :

void jacobi() computes all eigenvalues and eigenvectors of a real symmetric matrix a[1..n][1..n]. On output, elements of a above the diagonal are destroyed. d[1..n] returns the eigenvalues of a. v[1..n][1..n] is a matrix whose columns contain, on output, the normalized eigenvectors of a. nrot returns the numbers of Jacobi rotations that were required.

**Gruik** · 11/10/2007, 20h53

Ok, alors tu t'es trompé dans les indices et les tailles.. La doc parle de [1 à n] et toi tu fais comme si c'était "0 à n-1".
La routine tente d'écrire à d[n] et v[n][n] ce qui provoque un comportement indeterminé (avec possibilité de plantage donc) puisque on peut ecrire que jusqu'a d[n - 1] et v[n - 1][n - 1] avec les tableaux que tu passes.

**Rox the rocky** · 11/10/2007, 23h57

Mais une matrice en C ne part t'elle pas toujours de 0 ?
Comment puis-je déclarer des tableaux qui concordent avec la fonction ?

**Gruik** · 12/10/2007, 12h18

Le terme "matrice" n'existe pas en C, ya juste des tableaux. Les elements des tableaux commencent effectivement à l'indice 0 mais l'auteur de la fonction jacobi specifie que ce sont les elements 1 à n qui ont un sens pour la fonction (libre à lui).
Pour que ça marche il suffit d'augmenter de 1 le nb d'elements max de tes tableaux et d'ajouter 1 aux indices que tu utilises lors de l'initialisation des tableaux. J'aurais esperé que tu trouves ça tout seul

**Rox the rocky** · 12/10/2007, 16h54

Oui merci ça m'a mis sur la piste ( mais ça n'est pas tout à fait ça. )
En fait , il s'agit de declarer les variables avec les nouveaux types que nous offre la bibliotheque nrutil .
Ca donne ququchose comme ça :

> float a;
> a=matrix(1,4,1,4);

Voilou :p

Probleme d'utilisation de Jacobi.c de Numerical Recipes

C

Discussions similaires

Partager

Partager