from math import floor

class Point:
    """
    A class representing a point. A point
    has a point_size bounding box around
    it.
    """

    def __init__(self, x, y, point_size):
        """
        Initializes a new point with a point_size bounding box.

        @param point_size The size of the point in pixels.
        @param x The x-coordinate.
        @param y The y-coordinate.
        """
        self.__point_size = point_size
        self.__x = x
        self.__y = y

        half_point = floor(point_size / 2)

        self.__top_left_corner = (self.__x - half_point,
                                  self.__y + half_point)

        self.__bottom_right_corner = (self.__x + half_point,
                                      self.__y - half_point)

    @property
    def x(self):
        return self.__x


    @property
    def y(self):
        return self.__y


    @property
    def point_size(self):
        return self.__point_size


    def __eq__(self, other):
        """
        Override for class equality.

        @param other The other object.
        """
        return (self.__x == other.x and
                self.__y == other.y and
                self.__point_size == other.point_size)


    def __hash__(self):
        """
        Overridden hashing function so it can be used as a dictionary key
        for attributes.
        """
        return hash((self.__x, self.__y, self.__point_size))


    def __repr__(self):
        return "POINT<X :{} Y: {} SIZE: {}>".format(self.__x,
                                                    self.__y,
                                                    self.__point_size)


    def hit(self, x, y):
        """
        Determines if the point was hit inside of it's bounding box.

        The condition for hit is simple - consider the following
        bounding box:
                 -------------
                |              |
                |    (x,y)     |
                |              |
                 -------------

        Where the clicked location is in the center. Then the top
        left corner is defined as (x - half_point_size, y + half_point_size)
        and the bottom corner is (x + half_point_size, y - half_point_size)

        So long as x and y are greater than the top left and less than the
        top right it is considered a hit.

        This function is necessary for properly deleting and selecting points.
        """

        return (x >= self.__top_left_corner[0] and
                x <= self.__bottom_right_corner[0] and
                y <= self.__top_left_corner[1] and
                y >= self.__bottom_right_corner[1])


class Attribute:

    def __init__(self, name, value):
        """
        Initializes an attribute.
        """
        self.__name = name
        self.__value = value


class PointSet:
    """
    Useful container for points backed by a set to insure point
    uniqueness.
    """

    def __init__(self, point_size):
        """
        Initializes a point container with points of size point_size.

        @param point_size The size of the points.
        """
        self.__points = set()
        self.__attributes = {}
        self.__point_size = point_size


    @property
    def points(self):
        """
        Getter for points. Returns a generator for
        looping.
        """
        for point in self.__points:
            yield point


    @property
    def point_size(self):
        return self.__point_size


    def add_point(self, x, y, attrs=[]):
        """
        Adds a point in screen coordinates and an optional attribute to
        the list.

        @param x The x-coordinate.
        @param y The y-coordinate.
        @param attr An optional attribute.
        """

        if attrs != [] and not all(isinstance(x, Attribute) for x in attrs):
            raise ValueError("Attributes in add_point must be an " +
                             "attribute array.")

        point = Point(x, y, self.__point_size)
        self.__points.add(point)
        self.__attributes[point] = attrs


    def remove_point(self, x, y):
        """
        Removes a point and it's attributes from the point set based
        on a bounding box calculation.

        Removing a point is an exercise is determining which points
        have been hit, and then pulling them out of the list.

        If two points have a section overlapping, and the user clicks
        the overlapped section, both points will be removed.

        Currently O(n).

        @param x The x-coordinate.
        @param y The y-coordinate.
        """

        # Find points that match
        matched = set(p for p in self.__points if p.hit(x, y))

        # In place set difference
        self.__points = self.__points - matched

        # Remove associated attributes
        for point in matched:
            self.__attributes.pop(point)


    def attributes(self, point):
        """
        Returns the attribute array for a given point.

        @param point The point to get attributes for..
        """
        return self.__attributes[point]