class Rectangle:
    """
    An third implementation of a class that represents a rectangle.

    Attributes
    ----------
    x : (int) bottom-left x-coordinate
    y: (int) bottom-left y-coordinate
    width : (int) width
    height: (int) height

    Methods
    -------
    area(): (int) returns the area of the rectangle
    equals(another_rectangle): (bool) returns whether this and another_rectagle are equal

    """

    def __init__(self, x1, y1, x2, y2):
        """
        Creates a two-dimensional rectangle and sets its bottom-left coordinates, width, and height
        :param x1: (int) first x-coordinate
        :param y1: (int) first y-coordinate
        :param x2: (int) second x-coordinate
        :param y2: (int) second y-coordinate
        """
        # find the bottom-left corner
        if x2 < x1:
            x1, x2 = x2, x1

        if y2 < y1:
            y1, y2 = y2, y1

        self.x = x1
        self.y = y1
        self.width = x2 - x1
        self.height = y2 - y1

    def area(self):
        """
        Returns the area of the rectangle
        :return: (int) the area of the rectangle
        """

        return self.width * self.height

    def equals(self, another_rectangle):
        """
        returns whether this and another_rectagle are equal
        :param another_rectangle: (Rectangle) the rectangle to compare this one to
        :return: (bool) whether this and another_rectagle are equal

        """
        return self.x == another_rectangle.x and \
               self.y == another_rectangle.y and \
               self.width == another_rectangle.width and \
               self.height == another_rectangle.height

    def __eq__(self, another_rectangle):
        """
        returns whether this and another_rectagle are equal
        :param another_rectangle: (Rectangle) the rectangle to compare this one to
        :return: (bool) whether this and another_rectagle are equal

        """
        return self.x == another_rectangle.x and \
               self.y == another_rectangle.y and \
               self.width == another_rectangle.width and \
               self.height == another_rectangle.height

    def __str__(self):
        """
        Returns string representation of rectangle
        :return: (str) "Rectangle at (x, y) with area (area)"
        """
        return "Rectangle at (" + str(self.x) + ", " + str(self.y) + \
               ") with area:  " + str(self.area())


def main():
    r1 = Rectangle(0, 0, 10, 20)
    r2 = Rectangle(0, -10, 10, 10)
    r3 = Rectangle(10, 20, 0, 0)

    print(r1)
    print(r2)
    print(r3)

    print("Is r1 equal to r2? " + str(r1.equals(r2)))
    print("Is r1 equal to r3? " + str(r1.equals(r3)))

    print(r1 == r2)
    print(r1 == r3)
    print(r1 is r3)


if __name__ == "__main__":
    main()