Below is the code i have, but the output i am getting is zero and its wrong, so

Question

Below is the code i have, but the output i am getting is zero and its wrong, so i request you to help me with the above problem to write a c program and its output.

#include<stdio.h>

#include<stdlib.h>

int unitSphere( float x, float y, float z ) {

printf("volume of sphere is %f ",x*x + y*y + z*z);

return (x*x + y*y + z*z) <= 1.0;

}

int main(){

float x, y, z,volume = 0;

int loops = 1000,i;

for (i=0; i<loops; ++i) {

x = rand();

y = rand();

z = rand();

if ( unitSphere( x, y, z ) ){

volume = x*x + y*y + z*z;

}

}

printf("estimated volume of sphere is %f ",volume);

return 0;

}

//most of the cases it is not satis fying the condition (x*x + y*y + z*z) <= 1

Explanation / Answer

int isInSphere( float x, float y, float z ) {
return (x*x + y*y + z*z) <= 1.0;
}

Then loop a number of times:

float x, y, z;
int loops = 100000;
int countInside = 0;
int i;
for (i=0; i<loops; ++i) {
x = rand();
y = rand();
z = rand();
if ( isInSphere( x, y, z ) ) countInside++;
}

The sample space is a cube of volume 1.0 (size x=1, y=1, z=1). So the fraction of points inside would be the fraction of 1.0 volume that the 1/8 of the sphere has:

float eighthVol = (float) countInside / (float) loops;
printf("Sphere estimated volume = %f", 8.0 * eighthVol );

I can't recall whether you're writing in C or Java (and you didn't specify) so this is sort-of in C. Should be similar looking in either language.

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