ChatGPT_CustomerSup/Assets/Photon/PhotonUnityNetworking/Demos/DemoSlotRacer/Scripts/BezierCurve/Bezier.cs

// --------------------------------------------------------------------------------------------------------------------
// <copyright file="Bezier.cs" company="Exit Games GmbH">
//   Part of: Photon Unity Networking Demos
// </copyright>
// <summary>
//  Original: http://catlikecoding.com/unity/tutorials/curves-and-splines/
//  Used in SlotRacer Demo
// </summary>
// <author>developer@exitgames.com</author>
// --------------------------------------------------------------------------------------------------------------------

using UnityEngine;

namespace Photon.Pun.Demo.SlotRacer.Utils
{
	public static class Bezier
	{
		public static Vector3 GetPoint(Vector3 p0, Vector3 p1, Vector3 p2, float t)
		{
			t = Mathf.Clamp01(t);
			float oneMinusT = 1f - t;
			return
				oneMinusT * oneMinusT * p0 +
				2f * oneMinusT * t * p1 +
				t * t * p2;
		}

		public static Vector3 GetFirstDerivative(Vector3 p0, Vector3 p1, Vector3 p2, float t)
		{
			return
				2f * (1f - t) * (p1 - p0) +
				2f * t * (p2 - p1);
		}

		public static Vector3 GetPoint(Vector3 p0, Vector3 p1, Vector3 p2, Vector3 p3, float t)
		{
			t = Mathf.Clamp01(t);
			float OneMinusT = 1f - t;
			return
				OneMinusT * OneMinusT * OneMinusT * p0 +
				3f * OneMinusT * OneMinusT * t * p1 +
				3f * OneMinusT * t * t * p2 +
				t * t * t * p3;
		}

		public static Vector3 GetFirstDerivative(Vector3 p0, Vector3 p1, Vector3 p2, Vector3 p3, float t)
		{
			t = Mathf.Clamp01(t);
			float oneMinusT = 1f - t;
			return
				3f * oneMinusT * oneMinusT * (p1 - p0) +
				6f * oneMinusT * t * (p2 - p1) +
				3f * t * t * (p3 - p2);
		}
	}
}