Probleme d'utilisation de Jacobi.c de Numerical Recipes

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:

---

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:

---

> 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 ?

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. :cry:

ouiiin , personne qui a deja utilisé cette fonction ? :cry:

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

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

Code:

---

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:

---

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:

---

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_ */

---

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?

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.

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.

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

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

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