#!/usr/bin/env python
import math

def angle_to_vector(angle):
    angle=angle*math.pi/180
    return [math.cos(angle), math.sin(angle)]


def segments_intersection(line1, line2):
    x1,y1 = line1[0]
    x2,y2 = line1[1]
    x3,y3 = line2[0]
    x4,y4 = line2[1]

    xdiff = (x1 - x2, x3 - x4)
    ydiff = (y1 - y2, y3 - y4)

    def det(a, b):
        return a[0] * b[1] - a[1] * b[0]

    div = det(xdiff, ydiff)
    if div == 0:
       return None

    d = (det(*line1), det(*line2))
    x = det(d, xdiff) / div
    y = det(d, ydiff) / div

    if min(x1,x2) <= x <= max(x1,x2) :
        return x, y
    return None

def distance(point1, point2):
    return math.hypot(point1[0] - point2[0], point1[1] - point2[1])