from math import *

# A Point object represents an integer x/y location.
class Point:
    # Constructs a new point at the given x/y location.
    def __init__(self, x, y):
        self.x = x
        self.y = y

    # Sets this point's location to the given coordinates.
    def set_location(self, x, y):
        self.x = x
        self.y = y

    # Shifts this point's location by the given amounts.
    def translate(self, dx, dy):
        self.x += dx
        self.y += dy
    
    # Draws this point onto a drawing panel in the given color (default black).
    def draw(self, panel, color="black"):
        panel.canvas.create_oval(self.x, self.y, self.x + 3, self.y + 3, fill=color, outline=color)
        panel.canvas.create_text(self.x, self.y, text=str(self), anchor="sw", fill=color)
    
    # Returns how far this point is away from the given other point.
    def distance(self, other):
        dx = self.x - other.x
        dy = self.y - other.y
        return sqrt(dx * dx + dy * dy)
    
    # Returns how far this point is away from the origin (0, 0).
    def distance_from_origin(self):
        return self.distance(Point(0, 0))
    
    # Returns a text representation of this point, such as "(5, -3)".
    def __str__(self):
        return "(" + str(self.x) + ", " + str(self.y) + ")"