Estimating the value of π using Monte Carlo method:
The idea is to simulate random (x, y) points in a 2D plane with domain as a square of side 1 unit.
We then calculate the ratio of number points that lied inside the circle and total number of generated points:
<p style="text-align: center;"
π = 4*(circle_points/square_points)
</p
1. Define a function which produces random number in interval [0,1]
2. Use this function to perform evaluation of $\pi$ value
- Ask user for number of iterations
- During each iteration
- Generate two coordinates using the function that produces random coordinates
- Use generated coordinates to check if the point is inside the unit circle (Hint: What is the unit circle equation?)
- Calculate π value from the ratio of point that fall within the unit circle and total number of points in the unit square
Use following code as a starting point for this lab, however you may start from scratch if you choose to do so.
```c++
#include <iostream
#include <cstdlib
#include <cmath
using namespace std;
double randcoord(); // prototype
// put your program in the main function
int main() {
return 0;
}
```
