#------------------------------------------------------------------------------
#  Point7.py
#------------------------------------------------------------------------------

from math import sqrt
from random import random

class Point:
   """ 
   Point class repesents a point (xcoord, ycoord) in the Euclidean plane. 
   """
   
   def __init__(self, x=0, y=0):
      """ 
      Create a new point at (x, y) with x=0 and y=0 as default values.
      """
      self.xcoord = x
      self.ycoord = y
   # end __init__()
   
   def __str__(self):
      """
      Return a string representation of self.
      """
      return 'Point({0:.3f}, {1:.3f})'.format(self.xcoord,self.ycoord)
   # end __str__()
   
   def __eq__(self, other):
      """
      Return True if self == other, false otherwise.
      """
      if type(self) is type(other):
         return self.__dict__ == other.__dict__
      else:
         return False
   # end __eq__()
   
   def sqNorm(self):
      """
      Return the square of the distance from the origin to (xcoord, ycoord)
      """
      return self.xcoord**2 + self.ycoord**2
   # end sqNorm()
   
   def norm(self):
      """
      Return the distance from self to origin.
      """
      return sqrt(self.sqNorm())
   # end norm()
   
   def dist(self, other):
      """
      Return the distance from self to other.
      """
      return sqrt( (self.xcoord-other.xcoord)**2 + (self.ycoord-other.ycoord)**2 )
   # end dist()
   
   def midpoint(self, other):
      """
      Return a new Point object that is halfway between self and other.
      """
      x = (self.xcoord+other.xcoord)/2
      y = (self.ycoord+other.ycoord)/2
      return Point(x, y)
   # end midpoint()
   
   def randPoint(a, b, c, d):
      """
      Return a new random Point satisfying a<=xcoord<b and c<=ycoord<d.
      """
      x = a+(b-a)*random()
      y = c+(d-c)*random()
      return Point(x, y)
   # end randPoint()
   
# end class Point