/// <summary>
/// Initialises an angle as the signed difference between two directions in the 2D plane.
/// The returned value is the smallest negative angle from one direction to the other.
/// </summary>
public static Angle BetweenNegative(Direction2 from, Direction2 to)
{
var a = Angle.Between(from, to);
if (a.radians > 0)
{
a -= Mathf.TwoPi.Radians();
}
return(a);
}
/// <summary>
/// Creates a new polar position.
/// </summary>
/// <param name="r">The distance of the point to the origin.</param>
/// <param name="angle">The direction of the vector originating in the origin pointing towards the point.</param>
public PolarPosition(float r, Direction2 angle)
{
if (r < 0)
{
throw new ArgumentException("The radius has to be non-negative.");
}
R = r;
Angle = angle;
}
/// <summary>
/// Initialises an angle as the signed difference between two directions in the 2D plane.
/// The returned value is the smallest possible angle from one direction to the other.
/// </summary>
public static Angle Between(Direction2 from, Direction2 to)
{
return(to - from);
}
/// <summary>
/// Converts an Euclidean position into polar coordinates.
/// </summary>
/// <param name="position">The Euclidean representation of the point.</param>
/// <returns>The polar representation of the specified point.</returns>
public static PolarPosition FromVector2(Vector2 position)
{
return(new PolarPosition(position.Length, Direction2.Of(position)));
}