Mathc initiation/Fichiers c : c52c1a

Sommaire

Installer et compiler ces fichiers dans votre répertoire de travail.

	c00c.c

/* --------------------------------- */
/* save as c00c.c                    */
/* --------------------------------- */
#include  "x_hfile.h"
#include       "fc.h"
/* --------------------------------- */
int main(void)
{
double m = simpson_drdzrdxy( P,
                             ar, br, LOOP,
                             azr,bzr,LOOP,
                             axy,bxy,LOOP); 

 clrscrn();
 printf(" With spherical coordinates.\n\n\n");
 printf(" P   : r,zr,xy -> %s                \n\n",   Peq);

 printf(" br  :   zr,xy -> %s                  \n",  breq);
 printf(" ar  :   zr,xy -> %s         [0..oo]\n\n",  areq);

 printf(" bzr :      xy -> %s                  \n", bzreq);
 printf(" azr :      xy -> %s         [0..PI]\n\n", azreq);

 printf(" bxy :         -> %s                  \n", bxyeq);
 printf(" axy :         -> %s        [0..2PI]\n\n", axyeq);

 printf("        (bxy   (bzr(xy)  (br(zr,xy)    \n");
 printf(" m = int(   int(      int(f(r,zr,xy) r**2 sin(zr) dr dzr dxy = %.6f\n",m);
 printf("        (axy   (azr(xy)  (ar(zr,xy) \n\n");

 stop();

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

My spherical coordinates for my work in language c

Exemple de sortie écran :

 With spherical coordinates.


 P   : r,zr,xy -> r*cos(zr)                

 ar  :   zr,xy -> 0           [0..oo]
 br  :   zr,xy -> 1                

 azr :      xy -> 0           [0..PI]
 bzr :      xy -> PI/2.                

 axy :         -> 0          [0..2PI]
 bxy :         -> 2*PI                

        (bxy   (bzr(xy)  (br(zr,xy)    
 m = int(   int(      int(f(r,zr,xy) r**2 sin(zr) dr dzr dxy = 0.785398
        (axy   (azr(xy)  (ar(zr,xy) 

 Press return to continue.

Exemple de sortie écran :

Verify with maple

> restart:
> 
> f := (p,i,j) -> p*cos(i):
> Int(
> Int(
> Int(
> 
> f(p,i,j) * (p^2*sin(i)),
> 
> p = 0 ..  1),
> i = 0 ..  Pi/2),
> j = 0 ..  2*Pi);

              2 Pi    1/2 Pi    1
             /       /         /
            |       |         |    3
            |       |         |   p  cos(i) sin(i) dp di dj
            |       |         |
           /       /         /
             0       0         0

> evalf(value(%));
> 

                             .7853981635

>

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