python numba

from numba import jit
import random

def monte_carlo_pi(nsamples):
    acc = 0
    for i in range(nsamples):
        x = random.random()
        y = random.random()
        if (x ** 2 + y ** 2) < 1.0:
            acc += 1
    return 4.0 * acc / nsamples

Here is what the above code is Doing:
1. The @jit decorator tells Numba to compile this function.
2. The argument nopython=True tells Numba to generate code that does not access the Python C API.
3. The function contains only NumPy and Python built-in operations so this restriction is not a problem.
4. The function is compiled and the returned object is a regular Python function.
5. The function can be called like any other Python function.