Generating random points inside a circle

gistfile1.py

import random
random.seed()

import math

def rnd(_from=0, _to=1): return _from + random.random() * (_to - _from)

def rectangle_random(W=2, H=2):
    return (rnd(0, W), rnd(0, H))

def triangle_random(W=2, H=2):
    p = rectangle_random(W, H)
    return p if p[0]/W <= p[1]/H else (W-p[0], H-p[1])

def circle_random(R=5):
    p = triangle_random(R, R)
    r = p[1]
    a = p[0]/p[1] * 2 * math.pi
    return (r * math.cos(a), r * math.sin(a))

def random_points_array(point_func, number=5000):
    return [point_func() for _ in xrange(number)]

def plot_array(points):
    import matplotlib.pyplot as plt
    plt.plot([p[0] for p in points], [p[1] for p in points], 'ro')
    plt.show()

#

plot_array(random_points_array(circle_random))