Mathc initiation/Fichiers h : c50a6

Sommaire

Installer et compiler ces fichiers dans votre répertoire de travail.

	c00d.c

/* ---------------------------------- */
/* save as c00d.c                     */
/* ---------------------------------- */
#include "x_hfile.h"
#include      "fd.h"
/* ---------------------------------- */
int main(void)
{
 clrscrn();

 printf(" f : (x,y)-> %s\n\n", feq);
 printf(" v :   (x)-> %s  \n", veq);
 printf(" u :   (x)-> %s\n\n", ueq);
 printf(" b =    %+.1f\n a =    %+.1f\n\n\n",bx,ax);

 printf(" Find the surface area for the given functions\n");
 printf(" with the simpson's rule.\n\n\n");
 printf("    (b     (v(x)\n");
 printf(" int(   int(     sqrt(f_x()**2 + f_y()**2 + 1)  dydx = %.3f\n", 
                                               S_dydx(f, u,v,LOOP, ax,bx,LOOP));
 printf("    (a     (u(x)\n\n\n");

 printf("\n\n Press return to continue.\n");
 getchar();

 return 0;
}
/* ---------------------------------- */
/* ---------------------------------- */

Exemple de sortie écran :

 f : (x,y)-> y + 1./2.*x**2

 u :   (y)-> 0  
 v :   (y)-> 1

 a = +0.0   b = +1.0 



 Find the surface area for the given functions
 with the simpson's rule.


    (b     (v(x)
 int(   int(     sqrt(f_x()**2 + f_y()**2 + 1)  dydx = 1.525
    (a     (u(x)




 Press return to continue.

Exemple de sortie écran :

Verify with maple

> restart:
> 
> f := (x,y)->y+(x^2)/2:
> Int(
> Int(
> 
> sqrt( diff(f(x,y),x)^2 + diff(f(x,y),y)^2 + 1),
> 
> y = 0 .. 1),
> x = 0 .. 1);

                        1    1
                       /    /
                      |    |         2
                      |    |   sqrt(x  + 2) dy dx
                      |    |
                     /    /
                       0    0

> evalf(value(%));
> 

                             1.524504352

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