"""
Définis des classes utiles.
"""


class Vec2:
    """
    Un vecteur 2D
    """

    def __init__(self, x: float, y: float) -> None:
        self.x = x
        self.y = y

    def __add__(self, other: "Vec2") -> "Vec2":
        return Vec2(self.x + other.x, self.y + other.y)

    def __sub__(self, other: "Vec2") -> "Vec2":
        return Vec2(self.x - other.x, self.y - other.y)

    def __mul__(self, other: "Vec2") -> "Vec2":
        return Vec2(self.x * other.x, self.y * other.y)

    def __div__(self, other: "Vec2") -> "Vec2":
        return Vec2(self.x / other.x, self.y / other.y)

    def __eq__(self, other: object) -> bool:
        if isinstance(other, Vec2):
            return self.x == other.x and self.y == other.y
        return False

    def __repr__(self) -> str:
        return f"Vec2({self.x}, {self.y})"