#------------------------------------------------------------------------------
#  Point6.py
#------------------------------------------------------------------------------

from math import sqrt

class Point:
   """ 
   Point class encapsulates two numbers (xcoord, ycoord). 
   """
   
   # __init__()
   # initialization function for Point class
   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__()
   
   # __str__()
   # string representation of a Point object
   def __str__(self):
      """
      Return a string representation of self.
      """
      return '('+str(self.xcoord)+', '+str(self.ycoord)+')'
   # end __str__()
   
   # norm()
   def norm(self):
      """
      Return the distance from self to origin.
      """
      return sqrt(self.xcoord**2 + self.ycoord**2)
   # end norm()
   
   # dist()
   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()
   
   # midpoint()
   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()
   
# end class Point


#-- main (test Point class) ---------------------------------------------------

p = Point(1.5, -3.5)
q = Point(3.7, 8.2)

print(p.xcoord, p.ycoord)
print(p.norm())
print(q.xcoord, q.ycoord)
print(q.norm())
print(q.dist(p))
print(p.dist(q))

m = p.midpoint(q)
print(m.xcoord, m.ycoord)

print(p)
print(q)
print(m)