using UnityEngine;

public class Bezier
{

    /// <summary>  
    ///   
    /// </summary>  
    /// <param name="P0"></param>  
    /// <param name="P1"></param>  
    /// <param name="P2"></param>  
    /// <param name="t">0.0 >= t <= 1.0 </param>  
    /// <returns></returns>  
    public static Vector3 BezierCurve(Vector3 P0, Vector3 P1, Vector3 P2, float t)
    {
        var t1 = (1 - t) * (1 - t);
        var t2 = t * (1 - t);
        var t3 = t * t;
        return P0 * t1 + 2 * t2 * P1 + t3 * P2;
    }

    /// <summary>  
    ///   
    /// </summary>  
    /// <param name="P0"></param>  
    /// <param name="P1"></param>  
    /// <param name="P2"></param>  
    /// <param name="P3"></param>  
    /// <param name="t">0.0 >= t <= 1.0 </param>  
    /// <returns></returns>  
    public static Vector3 BezierCurve(Vector3 P0, Vector3 P1, Vector3 P2, Vector3 P3, float t)
    {
        var t1 = (1 - t) * (1 - t) * (1 - t);
        var t2 = (1 - t) * (1 - t) * t;
        var t3 = t * t * (1 - t);
        var t4 = t * t * t;
        return P0 * t1 + 3 * t2 * P1 + 3 * t3 * P2 + P3 * t4;
    }
}