Mathc initiation/003m

Sommaire

Installer et compiler ces fichiers dans votre répertoire de travail.

	c00c0.c

/* --------------------------------- */
/* save as c00c0.c                   */
/* --------------------------------- */
#include  "x_afile.h"
#include      "fc0.h"
/* --------------------------------- */
int main(void)
{               // drdadb
double m = simpson_dzdxdy( g,
                           r0, r1, LOOP,
                           a0, a1, LOOP,
                           b0, b1, 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(" r1  :     a,b -> %s                  \n",  r1eq);
 printf(" r0  :     a,b -> %s         [0..oo]\n\n",  r0eq);

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

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

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

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

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

 a1  :       b -> 2 PI                  
 a0  :       b -> 0        [0..2PI]

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

        (PI/2 (2 PI  (1        (dzdxdy)
 m = int(  int(   int( g(a,b,r) drdadb = 0.785398
        (0    (0     (0

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

 Press return to continue.