méthode de dichotomie ou bissection numérique
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| #include <stdio.h> | |
| #include <stdlib.h> | |
| #include<math.h> | |
| double f(double x){ | |
| double y; | |
| y=(x+1); | |
| return y;} | |
| void dichotomie(){ | |
| int i,n; | |
| double a,b,x; | |
| double E; | |
| double x1; | |
| printf("\ndonner l'interval [ a b ] : "); | |
| scanf("%lf %lf",&a,&b); | |
| printf("donner E : "); | |
| scanf("%lf",&E); | |
| if(f(a)==0){ | |
| printf("la solution est : %lf",a);} | |
| if(f(b)==0){printf("la solution est : %lf",b);} | |
| if(f(a)*f(b)>0){printf("on choisie un autre interval : ");goto fin;} | |
| if(f(a)*f(b)<0){ | |
| n=(log10((b-a)/E)/(log10(2)))+1; | |
| printf("%d",n); | |
| for(i=1;i<=n;i++){ | |
| x1=(a+b)/2; | |
| if(f(a)*f(x1)<0){ | |
| b=x1;} | |
| else if(f(b)*f(x1)<0){ a=x1;} | |
| } | |
| printf(" %lf ",x1); | |
| } | |
| fin :{} | |
| } | |
| int main(int argc, char *argv[]) | |
| {while(1){ | |
| dichotomie(); | |
| } | |
| system("PAUSE>null"); | |
| return 0; | |
| } |