Mathc initiation/003n

Sommaire

Installer et compiler ces fichiers dans votre répertoire de travail.

	c00d0.c

/* --------------------------------- */
/* save as c00d0.c                   */
/* --------------------------------- */
#include  "x_afile.h"
#include      "fd0.h"
/* --------------------------------- */
int main(void)
{                //dbdrda
double m = simpson_dydzdx( g,
                           b0, b1, LOOP,
                           r0, r1, LOOP,
                           a0, a1, LOOP);
 clrscrn();
 printf(" With spherical coordinates.\n\n");
 printf(" f   :   x,y,z -> %s                  \n",   feq);
 printf(" g   :   a,b,r -> %s                \n\n",   geq);

 printf(" b1  :     a,r -> %s                  \n",  b1eq);
 printf(" b0  :     a,r -> %s         [0..PI]\n\n",  b0eq);

 printf(" r1  :       a -> %s                  \n",  r1eq);
 printf(" r0  :       a -> %s         [0..oo]\n\n",  r0eq);

 printf(" a1  :         -> %s                  \n",  a1eq);
 printf(" a0  :         -> %s        [0..2PI]\n\n",  a0eq);

 printf("        (%s(%s    (%s      (dydzdx)\n",        a1eq,r1eq,b1eq);
 printf(" m = int( int(   int( g(a,b,r) dbdrda = %.6f\n",m);
 printf("        (%s   (%s       (%s\n\n",              a0eq,r0eq,b0eq);

 printf(" Code Mathematica : \n"
        " integral (r*cos(b))*(r**2 *sin(b)) db dr da"
        " from 0 to (2*Pi) from 0 to (1) from 0 to Pi/2\n\n");
 stop();
         
 return 0;
}
/* --------------------------------- */
/* --------------------------------- */

a = xy;... ... b = zr;... ... r = r

Exemple de sortie écran :

 With spherical coordinates.

 f   :   x,y,z -> (z cos(y))                  
 g   :   a,b,r -> (r cos(b)) [r**2 sin(b)]                

 b1  :     a,r -> PI/2                  
 b0  :     a,r -> 0         [0..PI]

 r1  :       a -> 1                  
 r0  :       a -> 0         [0..oo]

 a1  :         -> 2*Pi                  
 a0  :         -> 0        [0..2PI]

        (2*Pi(1    (PI/2      (dydzdx)
 m = int( int(   int( g(a,b,r) dbdrda = 0.785398
        (0   (0       (0

 Code Mathematica : 
 integral (r*cos(b))*(r**2 *sin(b)) db dr da from 0 to (2*Pi) from 0 to (1) from 0 to Pi/2

 Press return to continue.