Mathc initiation/Fichiers c : c24ca
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c16a.c |
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/* --------------------------------- */
/* save as c16a.c */
/* --------------------------------- */
#include "x_hfile.h"
#include "fa.h"
/* --------------------------------- */
int main(void)
{
double a = .5;
double b = .5;
pt2d p = {a,b};
int n = 4;
double h = .1;
clrscrn();
p = i_pt2d(a,b); /* For info */
printf(" Use Newton's method to approximate, \n");
printf(" the solutions of the following system :\n\n\n");
printf(" | %s = 0 \n", feq);
printf(" | %s = 0\n\n\n", geq);
printf(" As a first approximation x = %.1f y = %.1f \n\n", a, b);
stop();
clrscrn();
p_newton_fxy( n, f, g, h, p);
stop();
clrscrn();
p = newton_fxy( n, f, g, h, p);
printf(" the solutions of the following system is :\n\n\n");
printf(" x = %f y = %f \n\n\n",p.x,p.y);
printf(" f(%f,%f) = %f \n",p.x,p.y, f(p.x, p.y));
printf(" g(%f,%f) = %f\n\n",p.x,p.y, g(p.x,p.y) );
stop();
return 0;
}
Voir le fichier x_nwtn.h pour étudier l'algorithme.
Exemple de sortie écran :
Use Newton's method to approximate,
the solutions of the following system :
| x**2 + y**2 - 1 = 0
| y - sin(x) = 0
As a first approximation x = 0.5 y = 0.5
Press return to continue.
Exemple de sortie écran :
n = 1
f(0.500000,0.500000) = -0.500000
g(0.500000,0.500000) = +0.020574
n = 2
f(0.777474,0.722526) = +0.126510
g(0.777474,0.722526) = +0.021045
n = 3
f(0.740271,0.675011) = +0.003642
g(0.740271,0.675011) = +0.000523
n = 4
f(0.739085,0.673614) = +0.000003
g(0.739085,0.673614) = +0.000002
Press return to continue.
Exemple de sortie écran :
the solutions of the following system is :
x = 0.739085 y = 0.673614
f(0.739085,0.673614) = 0.000003
g(0.739085,0.673614) = 0.000002
Press return to continue.