Python language-center of a circle using OOP

Question

class Point:

    def __init__(self, initX, initY):
        \"\"\" Create a new point at the given coordinates. \"\"\"
        self.x = initX
        self.y = initY

            


        

Answer 1

As Padraic Cunningham said, we don't need getters or setters in Python, but as mu said we can make getters if we want, but normally they are used to get "fake" attributes that are actually computed from true attributes. For example, in the code below I've added a fake norm attribute to your Point class.

I've also added a few more double-underscore methods (aka dunder methods or magic methods) to your class. These methods are discussed in the official Python docs.

One of the most common dunder methods is __repr__() which should return a string that corresponds to how you create an instance of the class. This is especially handy when you're using a class in the interactive interpreter. FWIW, if a class doesn't define a __str__() method its __repr__() method will be used if you attempt to turn a class instance into a string. If a __repr__() method hasn't been defined a default one will be used.

The other dunder methods I've added make it easier to perform arithmetic operations on points; this can make code easier to write and to read. I think you'll agree that it makes the cencd() function a little clearer. (I'm not sure exactly what that function's supposed to do; I assume you've got the algebra correct :) ).

This code was tested on Python 2.6.6; it should run ok on Python 3 without modification.

#!/usr/bin/env python

''' Point class demo

    From http://stackoverflow.com/q/28602056/4014959

    Written by koseph, Padraic Cunningham, and PM 2Ring
    2015.02.19
'''

from __future__ import print_function
from __future__ import division

class Point(object):
    def __init__(self, initX, initY):
        """ Create a new point at the given coordinates. """
        self.x, self.y = initX, initY

    @property
    def norm(self):
        return self.x ** 2 + self.y ** 2

    def distance_from_origin(self):
        return self.norm ** 0.5

    def __repr__(self):
        return 'Point({self.x}, {self.y})'.format(self=self)

    def __str__(self):
        return 'x={self.x}, y={self.y}'.format(self=self)

    def __add__(self, other):
        return Point(self.x + other.x, self.y + other.y)

    def __mul__(self, scale):
        return Point(self.x * scale, self.y * scale)

    __rmul__ = __mul__

    def __neg__(self):
        return -1 * self

    def __sub__(self, other):
        return self + -other

    def weighted_mean(self, other, weight):
        cweight = 1.0 - weight
        x = cweight * self.x + weight * other.x
        y = cweight * self.y + weight * other.y
        return Point(x, y)

    def halfway(self, other):
        return self.weighted_mean(other, 0.5)


def cencd(p1, p2, p3):
    """ Calculate the center of a circle """
    a = p2 - p1
    b = p3 - p2
    ma = a.y / a.x
    mb = b.y / b.x
    hw = p1.halfway(p2)
    x = ma * mb * (p1 - p3).y + mb * (p1 + p2).x - ma * (p2 + p3).x
    x /= 2.0 * (mb - ma)
    y = -(x - hw.x + hw.y) / ma
    return Point(x, y)


p1 = Point(3, 4)
print(p1)
print('p1 is {0!r}, its norm is {1}'.format(p1, p1.norm))
print('and its distance from the origin is', p1.distance_from_origin(), end='\n\n')

p2 = Point(7, 2)
print('p2 is', repr(p2), end='\n\n')

print('p1 + p2 is', repr(p1 + p2))
print('p1 * 0.1 is', repr(p1 * 0.1))
print('p2 - p1 is', repr(p2 - p1), end='\n\n')

p3 = 4 * p1
print('p3 is', repr(p3), end='\n\n')

print('Weighted means from p1 to p3')
for i in range(5):
    weight = i / 4.0
    print('{0} {1:4.2f} {2!r}'.format(i, weight, p1.weighted_mean(p3, weight)))
print()

print('center of a circle for p1, p2, & p3:', repr(cencd(p1, p2, p3)))

output

x=3, y=4
p1 is Point(3, 4), its norm is 25
and its distance from the origin is 5.0

p2 is Point(7, 2)

p1 + p2 is Point(10, 6)
p1 * 0.1 is Point(0.3, 0.4)
p2 - p1 is Point(4, -2)

p3 is Point(12, 16)

Weighted means from p1 to p3
0 0.00 Point(3.0, 4.0)
1 0.25 Point(5.25, 7.0)
2 0.50 Point(7.5, 10.0)
3 0.75 Point(9.75, 13.0)
4 1.00 Point(12.0, 16.0)

center of a circle for p1, p2, & p3: Point(8.22727272727, 12.4545454545)