question: based on the this program (c++), write a program that calculates ? wit

Question

question: based on the this program (c++), write a program that calculates ? with a desired accuracy.

#include <iostream>

#include <cstdlib>

#include <ctime>

using namespace std;

double shoot();

int main()

{

int total, in = 0;

double pi, x, y;

srand((unsigned)time(NULL));

cout << "Enter number of shots: ";

cin >> total;

for (int i=1; i<=total; i++)

{

      x = shoot();

      y = shoot();

      if (x*x+y*y<=1)

         in = in + 1;

}

pi = 4*(double)in/total;

cout << "pi = " << pi << endl;

return 0;

}

double shoot()

{

double random_num;

random_num = (double)(rand()%99)/99;

return random_num;

}

Explanation / Answer

#include <iostream>

using namespace std;
   
   
    int main()
    {
             int counter = 1;
        double odd = 1;
        
        double sum = 0;
        int max = 10000;
   
        bool bSign = true;
   
        double pi = 0;
        //4-(4/3)+(4/5)-(4/7)+(4/9)-(4/11)+...
   
        do {
            if(bSign)
            {
                pi += 4 / odd;
                bSign = false;
            }
            else
            {
                pi -= 4 / odd;
                bSign = true;
            }
            odd+=2;
            counter++;
            sum += pi;
            cout << pi << endl;   
            
        } while ( counter < max );
   
        cout << "PI : " << (sum / counter) << endl;
        return 0;
    }

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