/// <summary>
/// Spherically interpolates between the two passed vectors.
/// </summary>
/// <param name="from">First point of the arc.</param>
/// <param name="to">Last point of the arc.</param>
/// <param name="step">Interpolation parameter.</param>
/// <returns>
/// Value of <paramref name="step" /> along the path along the line segment in the plane.
/// </returns>
public static Vector2F Slerp(Vector2F from, Vector2F to, float step)
{
if (step == 0)
{
return(from);
}
if (from == to || step == 1)
{
return(to);
}
float theta = MathUtils.ACos(Dot(from, to));
if (theta == 0)
{
return(to);
}
float sinTheta = MathUtils.Sin(theta);
if (sinTheta == 0.0f)
{
return(to);
}
return(MathUtils.Sin((1 - step) * theta) / sinTheta * from + MathUtils.Sin(step * theta) / sinTheta * to);
}
