# a2.py
# Steve Marschner (SRM2) and Lillian Lee (LJL2)
# Feb 24, 2014

class Point2(object):
    """A class representing points in a 2D plane."""
    def __init__(self,x,y):
        self.x = float(x)
        self.y = float(y)

def midpoint(p,q):
    """Return: a new point at the midpoint of the points p and q."""
    mx = (p.x + q.x) / 2
    my = (p.y + q.y) / 2
    mp = Point2(mx, my)
    return mp

def move_to_mid(p, q):
    """Move p to the midpoint of p and q."""
    p = midpoint(p,q)

def min_max(p, q):
    """Move p to bottom left and q to upper right of the rectangle they define."""
    if q.x < p.x:
        t = p.x
        p.x = q.x
        q.x = t
    if q.y < p.y:
        t = p.y
        p.y = q.y
        q.y = t

def dist_sqr(p,q):
    """The squared distance between the points p and q."""
    dx = p.x - q.x
    dy = p.y - q.y
    return dx**2 + dy**2

def half_dist_sqr(p,q):
    """The square of half the distance from p to q."""
    mp = midpoint(p,q)
    return dist_sqr(mp, p)

a = Point2(1, 2)
b = Point2(5, 0)
c = midpoint(a, b)
min_max(c, a)
h1 = half_dist_sqr(a, b)
move_to_mid(a, b)
h2 = dist_sqr(a, b)