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- using System;
- using System.Collections.Generic;
- using UnityEngine;
- public class CatmullRomSpline
- {
- public int NbSegments
- {
- get
- {
- return Math.Max(0, this.knots.Count - 3);
- }
- }
- public Vector3 FindPositionFromDistance(float distance)
- {
- Vector3 result = Vector3.zero;
- CatmullRomSpline.Marker marker = new CatmullRomSpline.Marker();
- bool flag = this.PlaceMarker(marker, distance, null);
- if (flag)
- {
- result = this.GetPosition(marker);
- }
- return result;
- }
- public Vector3 FindTangentFromDistance(float distance)
- {
- Vector3 result = Vector3.zero;
- CatmullRomSpline.Marker marker = new CatmullRomSpline.Marker();
- bool flag = this.PlaceMarker(marker, distance, null);
- if (flag)
- {
- result = this.GetTangent(marker);
- }
- return result;
- }
- public static Vector3 ComputeBinormal(Vector3 tangent, Vector3 normal)
- {
- return Vector3.Cross(tangent, normal).normalized;
- }
- public float Length()
- {
- if (this.NbSegments == 0)
- {
- return 0f;
- }
- return Math.Max(0f, this.GetSegmentDistanceFromStart(this.NbSegments - 1));
- }
- public void Clear()
- {
- this.knots.Clear();
- }
- public void MoveMarker(CatmullRomSpline.Marker marker, float distance)
- {
- this.PlaceMarker(marker, distance, marker);
- }
- public void SetLastPos(Vector3 lastPos)
- {
- this.lastPos = lastPos;
- }
- public Vector3 GetPosition(CatmullRomSpline.Marker marker)
- {
- Vector3 vector = Vector3.zero;
- if (this.NbSegments == 0)
- {
- return vector;
- }
- CatmullRomSpline.SubKnot[] segmentSubKnots = this.GetSegmentSubKnots(marker.segmentIndex);
- vector = Vector3.Lerp(segmentSubKnots[marker.subKnotAIndex].position, segmentSubKnots[marker.subKnotBIndex].position, marker.lerpRatio);
- if (this.targetTrans != null)
- {
- vector += this.targetTrans.position - this.lastPos;
- }
- return vector;
- }
- public Vector3 GetTangent(CatmullRomSpline.Marker marker)
- {
- Vector3 zero = Vector3.zero;
- if (this.NbSegments == 0)
- {
- return zero;
- }
- CatmullRomSpline.SubKnot[] segmentSubKnots = this.GetSegmentSubKnots(marker.segmentIndex);
- return Vector3.Lerp(segmentSubKnots[marker.subKnotAIndex].tangent, segmentSubKnots[marker.subKnotBIndex].tangent, marker.lerpRatio);
- }
- private float Epsilon
- {
- get
- {
- return 0.1f;
- }
- }
- private CatmullRomSpline.SubKnot[] GetSegmentSubKnots(int i)
- {
- return this.knots[2 + i].subKnots;
- }
- public float GetSegmentDistanceFromStart(int i)
- {
- return this.knots[2 + i].distanceFromStart;
- }
- private bool IsSegmentValid(int i)
- {
- return this.knots[i].distanceFromStart != -1f && this.knots[i + 1].distanceFromStart != -1f && this.knots[i + 2].distanceFromStart != -1f && this.knots[i + 3].distanceFromStart != -1f;
- }
- private bool OutOfBoundSegmentIndex(int i)
- {
- return i < 0 || i >= this.NbSegments;
- }
- public void Parametrize()
- {
- this.Parametrize(0, this.NbSegments - 1);
- }
- public void Launch(Transform targetTrans)
- {
- this.targetTrans = targetTrans;
- this.lastPos = targetTrans.position;
- }
- public void Parametrize(int fromSegmentIndex, int toSegmentIndex)
- {
- if (this.knots.Count < 4)
- {
- return;
- }
- int num = Math.Min(toSegmentIndex + 1, this.NbSegments);
- fromSegmentIndex = Math.Max(0, fromSegmentIndex);
- float num2 = 0f;
- if (fromSegmentIndex > 0)
- {
- num2 = this.GetSegmentDistanceFromStart(fromSegmentIndex - 1);
- }
- for (int i = fromSegmentIndex; i < num; i++)
- {
- CatmullRomSpline.SubKnot[] segmentSubKnots = this.GetSegmentSubKnots(i);
- for (int j = 0; j < segmentSubKnots.Length; j++)
- {
- CatmullRomSpline.SubKnot subKnot = default(CatmullRomSpline.SubKnot);
- num2 = (subKnot.distanceFromStart = num2 + this.ComputeLengthOfSegment(i, (float)(j - 1) * this.Epsilon, (float)j * this.Epsilon));
- subKnot.position = this.GetPositionOnSegment(i, (float)j * this.Epsilon);
- subKnot.tangent = this.GetTangentOnSegment(i, (float)j * this.Epsilon);
- segmentSubKnots[j] = subKnot;
- }
- this.knots[2 + i].distanceFromStart = num2;
- }
- }
- public bool PlaceMarker(CatmullRomSpline.Marker result, float distance, CatmullRomSpline.Marker from = null)
- {
- int nbSegments = this.NbSegments;
- if (nbSegments == 0)
- {
- return false;
- }
- if (distance <= 0f)
- {
- result.segmentIndex = 0;
- result.subKnotAIndex = 0;
- result.subKnotBIndex = 1;
- result.lerpRatio = 0f;
- return true;
- }
- if (distance >= this.Length())
- {
- CatmullRomSpline.SubKnot[] segmentSubKnots = this.GetSegmentSubKnots(nbSegments - 1);
- result.segmentIndex = nbSegments - 1;
- result.subKnotAIndex = segmentSubKnots.Length - 2;
- result.subKnotBIndex = segmentSubKnots.Length - 1;
- result.lerpRatio = 1f;
- return true;
- }
- int num = 0;
- int num2 = 1;
- if (from != null)
- {
- num = from.segmentIndex;
- }
- for (int i = num; i < nbSegments; i++)
- {
- if (distance <= this.GetSegmentDistanceFromStart(i))
- {
- CatmullRomSpline.SubKnot[] segmentSubKnots = this.GetSegmentSubKnots(i);
- for (int j = num2; j < segmentSubKnots.Length; j++)
- {
- CatmullRomSpline.SubKnot subKnot = segmentSubKnots[j];
- if (distance <= subKnot.distanceFromStart)
- {
- result.segmentIndex = i;
- result.subKnotAIndex = j - 1;
- result.subKnotBIndex = j;
- result.lerpRatio = 1f - (subKnot.distanceFromStart - distance) / (subKnot.distanceFromStart - segmentSubKnots[j - 1].distanceFromStart);
- break;
- }
- }
- break;
- }
- }
- return true;
- }
- private float ComputeLength()
- {
- if (this.knots.Count < 4)
- {
- return 0f;
- }
- float num = 0f;
- int nbSegments = this.NbSegments;
- for (int i = 0; i < nbSegments; i++)
- {
- num += this.ComputeLengthOfSegment(i, 0f, 1f);
- }
- return num;
- }
- private float ComputeLengthOfSegment(int segmentIndex, float from, float to)
- {
- float num = 0f;
- from = Mathf.Clamp01(from);
- to = Mathf.Clamp01(to);
- Vector3 b = this.GetPositionOnSegment(segmentIndex, from);
- for (float num2 = from + this.Epsilon; num2 < to + this.Epsilon / 2f; num2 += this.Epsilon)
- {
- Vector3 positionOnSegment = this.GetPositionOnSegment(segmentIndex, num2);
- num += Vector3.Distance(positionOnSegment, b);
- b = positionOnSegment;
- }
- return num;
- }
- public void DebugDrawEquallySpacedDots()
- {
- Gizmos.color = Color.red;
- int num = 10 * this.NbSegments;
- float num2 = this.Length();
- CatmullRomSpline.Marker marker = new CatmullRomSpline.Marker();
- this.PlaceMarker(marker, 0f, null);
- for (int i = 0; i <= num; i++)
- {
- this.MoveMarker(marker, (float)i * (num2 / (float)num));
- Vector3 position = this.GetPosition(marker);
- Gizmos.DrawWireSphere(position, 0.025f);
- }
- }
- public void DebugDrawSubKnots()
- {
- Gizmos.color = Color.yellow;
- int nbSegments = this.NbSegments;
- for (int i = 0; i < nbSegments; i++)
- {
- CatmullRomSpline.SubKnot[] segmentSubKnots = this.GetSegmentSubKnots(i);
- for (int j = 0; j < segmentSubKnots.Length; j++)
- {
- Gizmos.DrawWireSphere(segmentSubKnots[j].position, 0.025f);
- }
- }
- }
- public void ClearTail(int num)
- {
- if (this.knots.Count >= num)
- {
- this.knots.RemoveRange(0, num);
- }
- else
- {
- this.knots.Clear();
- }
- }
- public void DebugDrawSpline()
- {
- if (this.knots.Count >= 4)
- {
- Gizmos.color = Color.green;
- Gizmos.DrawWireSphere(this.knots[0].position, 0.2f);
- Gizmos.color = Color.red;
- Gizmos.DrawWireSphere(this.knots[this.knots.Count - 1].position, 0.2f);
- Gizmos.color = Color.blue;
- Gizmos.DrawWireSphere(this.knots[this.knots.Count - 2].position, 0.2f);
- int nbSegments = this.NbSegments;
- for (int i = 0; i < nbSegments; i++)
- {
- Vector3 vector = this.GetPositionOnSegment(i, 0f);
- Gizmos.DrawWireSphere(vector, 0.2f);
- for (float num = this.Epsilon; num < 1f + this.Epsilon / 2f; num += this.Epsilon)
- {
- Vector3 positionOnSegment = this.GetPositionOnSegment(i, num);
- UnityEngine.Debug.DrawLine(vector, positionOnSegment, Color.white);
- vector = positionOnSegment;
- }
- }
- }
- }
- private Vector3 GetPositionOnSegment(int segmentIndex, float t)
- {
- return CatmullRomSpline.FindSplinePoint(this.knots[segmentIndex].position, this.knots[segmentIndex + 1].position, this.knots[segmentIndex + 2].position, this.knots[segmentIndex + 3].position, t);
- }
- private Vector3 GetTangentOnSegment(int segmentIndex, float t)
- {
- return CatmullRomSpline.FindSplineTangent(this.knots[segmentIndex].position, this.knots[segmentIndex + 1].position, this.knots[segmentIndex + 2].position, this.knots[segmentIndex + 3].position, t).normalized;
- }
- private static Vector3 FindSplinePoint(Vector3 p0, Vector3 p1, Vector3 p2, Vector3 p3, float t)
- {
- Vector3 result = default(Vector3);
- float num = t * t;
- float num2 = num * t;
- result.x = 0.5f * (2f * p1.x + (-p0.x + p2.x) * t + (2f * p0.x - 5f * p1.x + 4f * p2.x - p3.x) * num + (-p0.x + 3f * p1.x - 3f * p2.x + p3.x) * num2);
- result.y = 0.5f * (2f * p1.y + (-p0.y + p2.y) * t + (2f * p0.y - 5f * p1.y + 4f * p2.y - p3.y) * num + (-p0.y + 3f * p1.y - 3f * p2.y + p3.y) * num2);
- result.z = 0.5f * (2f * p1.z + (-p0.z + p2.z) * t + (2f * p0.z - 5f * p1.z + 4f * p2.z - p3.z) * num + (-p0.z + 3f * p1.z - 3f * p2.z + p3.z) * num2);
- return result;
- }
- private static Vector3 FindSplineTangent(Vector3 p0, Vector3 p1, Vector3 p2, Vector3 p3, float t)
- {
- Vector3 result = default(Vector3);
- float num = t * t;
- result.x = 0.5f * (-p0.x + p2.x) + (2f * p0.x - 5f * p1.x + 4f * p2.x - p3.x) * t + (-p0.x + 3f * p1.x - 3f * p2.x + p3.x) * num * 1.5f;
- result.y = 0.5f * (-p0.y + p2.y) + (2f * p0.y - 5f * p1.y + 4f * p2.y - p3.y) * t + (-p0.y + 3f * p1.y - 3f * p2.y + p3.y) * num * 1.5f;
- result.z = 0.5f * (-p0.z + p2.z) + (2f * p0.z - 5f * p1.z + 4f * p2.z - p3.z) * t + (-p0.z + 3f * p1.z - 3f * p2.z + p3.z) * num * 1.5f;
- return result;
- }
- public List<Knot> knots = new List<Knot>();
- public const int NbSubSegmentPerSegment = 10;
- private Transform targetTrans;
- private Vector3 startPos;
- private Vector3 lastPos;
- private const int MinimumKnotNb = 4;
- private const int FirstSegmentKnotIndex = 2;
- public struct SubKnot
- {
- public float distanceFromStart;
- public Vector3 position;
- public Vector3 tangent;
- }
- public class Marker
- {
- public int segmentIndex;
- public int subKnotAIndex;
- public int subKnotBIndex;
- public float lerpRatio;
- }
- }
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