using System.Collections;
using System.Collections.Generic;
using UnityEngine;
//Class that handles all spline calculations. Source: http://catlikecoding.com/unity/tutorials/curves-and-splines/
public static class Bezier {
//Returns position for a quadratic curve
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;
}
//Returns direction for a quadratic curve
public static Vector3 GetFirstDerivative(Vector3 p0, Vector3 p1, Vector3 p2, float t) {
return
2f * (1f - t) * (p1 - p0) +
2f * t * (p2 - p1);
}
//Returns position for a cubic curve
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;
}
//Returns direction for a cubic curve
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);
}
}