这是我用Unity实现的A*寻路算法,参考了许多大神的代码架构终于写出。现成列出来,供各位学习交流。
A*寻路算法 这是寻路的地图,地图由100个小方格组成,每个方格有对应的编号。
方格地图的编号
详细代码在此,代码都有十分详细的注释
A*节点的数据结构:
using System.Collections;
using System.Collections.Generic;
using UnityEngine;
//A*节点的数据结构
public class AStarPoint
{
public AStarPoint parentPoint { get; set; }//父节点
public GameObject gameObject { get; set; }//节点的游戏物体
//F,G,H值
public float F { get; set; }
public float G { get; set; }
public float H { get; set; }
public Vector2 position { get; set; }//当前节点所处于的位置
public int posX { get; set; }
public int posY { get; set; }
public bool isObstacle { get; set; }//是否是障碍物
/// <summary>
/// 构造函数
/// </summary>
/// <param name="X">该节点的X坐标</param>
/// <param name="Y">该节点的Y坐标</param>
public AStarPoint(int X,int Y)
{
posX = X;
posY = Y;
position = new Vector2(posX, posY);
parentPoint = null;
gameObject = GameObject.Find(X + "," + Y);//根据坐标绑定到场景中的游戏物体
}
}
A*寻路算法本身
using System.Collections;
using System.Collections.Generic;
using UnityEngine;
public class AStarAlgorithm
{
//地图的长宽的格子数量
const int XLength = 10;
const int YLength = 10;
//整张地图的节点集合
public AStarPoint[,] pointGrid = new AStarPoint[XLength,YLength];
//存放最终寻路结果的栈
public Stack<AStarPoint> pathPosStack = new Stack<AStarPoint>();
public static AStarAlgorithm Instance;
/// <summary>
/// 实例化A*算法
/// </summary>
public static AStarAlgorithm GetInstance
{
get
{
if(Instance==null)
{
Instance = new AStarAlgorithm();
}
return Instance;
}
}
/// <summary>
/// 构造函数,实例化的时候会调用用于初始化整张地图
/// </summary>
public AStarAlgorithm()
{
InitPoint();
}
/// <summary>
/// 初始化游戏地图集合
/// </summary>
private void InitPoint()
{
for(int i=0;i<XLength;i++)
{
for(int j=0;j<YLength;j++)
{
pointGrid[i,j] = new AStarPoint(i,j);
}
}
}
/// <summary>
/// 清除节点与节点之间的父子关系
/// </summary>
void ClearGrid()
{
for(int i=0;i<XLength;i++)
{
for(int j=0;j<YLength;j++)
{
if(!pointGrid[i,j].isObstacle)
{
if(pointGrid[i,j].gameObject!=null)
{
pointGrid[i, j].parentPoint = null;
}
}
}
}
}
/// <summary>
/// 设置障碍物,被设置为障碍物的格子会升到高处
/// </summary>
/// <param name="x"></param>
/// <param name="y"></param>
public void SetObstacle(int x,int y)
{
pointGrid[x, y].isObstacle = true;
Vector3 pointPos = pointGrid[x, y].gameObject.transform.position;
pointGrid[x,y].gameObject.transform.SetPositionAndRotation(new Vector3(pointPos.x,100,pointPos.z),Quaternion.identity);
}
/// <summary>
/// A*寻路算法本体
/// </summary>
/// <param name="startPoint">寻路起点</param>
/// <param name="endPoint">寻路终点</param>
/// <returns></returns>
public Stack<AStarPoint> FindPath(AStarPoint startPoint,AStarPoint endPoint)
{
//清除上一次算法留下的节点与节点之间的父子关系
ClearGrid();
//初始化Open表和Close表
List<AStarPoint> openList = new List<AStarPoint>();
List<AStarPoint> closeList = new List<AStarPoint>();
//开始时将起点加入Open表
openList.Add(startPoint);
while(openList.Count>0)
{
//寻找Open表中F值最小的节点
AStarPoint minPoint = FindMinPoint(openList);
openList.Remove(minPoint);
closeList.Add(minPoint);
//寻找minPoint周围的点(边界和障碍物不会算在内)
List<AStarPoint> surroundPoints = FindSurroundPoints(minPoint);
//如果surroundPoints中的点在Close表中出现过,则移除这些点
foreach (AStarPoint closePoint in closeList)
{
if (surroundPoints.Contains(closePoint))
{
surroundPoints.Remove(closePoint);
}
}
//遍历surroundPoints中的点
foreach (AStarPoint point in surroundPoints)
{
//若该点在Open表中出现过,则检查这条路径是否更优,
//也就是说经由当前方格(我们选中的方格) 到达那个方格是否具有更小的 G 值。
if (openList.Contains(point))
{
float newPathG = CalcG(point,minPoint);
//如果 G 值更小,则把那个方格的父亲设为当前方格 ( 我们选中的方格 ) ,
//然后重新计算那个方格的 F 值和 G 值
if (newPathG<point.G)
{
point.parentPoint = minPoint;
point.G = newPathG;
point.F = point.G + point.H;
}
//如果没有,不做任何操作。
}
else
{
//若该点没有在Open表中出现过,则直接计算F值存入点内,且将该点的父亲设置为minPoint
CalcF(point, endPoint);
point.parentPoint = minPoint;
openList.Add(point);
}
}
//若已经到达终点,则退出循环
if(openList.IndexOf(endPoint)>-1)
{
break;
}
}
//返回寻路结果
return GetPathWay(startPoint, endPoint);
}
/// <summary>
/// 将寻路结果装入pathStack栈中
/// </summary>
/// <param name="startPoint">起点</param>
/// <param name="endPoint">终点</param>
/// <returns></returns>
Stack<AStarPoint> GetPathWay(AStarPoint startPoint,AStarPoint endPoint)
{
pathPosStack.Clear();
AStarPoint temp = endPoint;
while(temp.parentPoint!=null)
{
pathPosStack.Push(temp);
temp = temp.parentPoint;
}
return pathPosStack;
}
/// <summary>
/// 寻找list表中F值最小的节点
/// </summary>
/// <param name="list"></param>
/// <returns></returns>
AStarPoint FindMinPoint(List<AStarPoint> list)
{
float F = list[0].F;
AStarPoint ret=null;
foreach(AStarPoint point in list)
{
if(point.F<=F)
{
F = point.F;
ret = point;
}
}
return ret;
}
/// <summary>
/// 寻找point周围的节点加入List中,包括垂直方向和斜向共八个方向
/// </summary>
/// <param name="point"></param>
/// <returns></returns>
List<AStarPoint> FindSurroundPoints(AStarPoint point)
{
List<AStarPoint> ret=new List<AStarPoint>();
AStarPoint up=null, down = null, left = null, right = null;
AStarPoint lu = null, ru = null, ld = null, rd = null;
//如果是边界,就不加入List中
if(point.posY<YLength-1)
{
up = pointGrid[point.posX, point.posY + 1];
}
if(point.posY>0)
{
down = pointGrid[point.posX, point.posY-1];
}
if(point.posX<XLength-1)
{
right = pointGrid[point.posX + 1, point.posY];
}
if(point.posX>0)
{
left = pointGrid[point.posX - 1, point.posY];
}
if(left!=null && down!=null)
{
ld = pointGrid[point.posX - 1, point.posY - 1];
}
if(left!=null && up!=null)
{
lu = pointGrid[point.posX - 1, point.posY + 1];
}
if(right!=null && down!=null)
{
rd = pointGrid[point.posX + 1, point.posY - 1];
}
if(right!=null && up!=null)
{
ru = pointGrid[point.posX + 1, point.posY + 1];
}
//上下左右方向,如果是障碍物就不加入list中
if(left!=null && left.isObstacle==false)
{
ret.Add(left);
}
if(right!=null && right.isObstacle==false)
{
ret.Add(right);
}
if(up!=null && up.isObstacle==false)
{
ret.Add(up);
}
if(down!=null && down.isObstacle==false)
{
ret.Add(down);
}
//这里规定了如果上下左右方向有障碍,则斜方向不能寻路过去,读者可以不加入这个条件
if (lu != null && lu.isObstacle == false && ret.Contains(left) && ret.Contains(up))
{
ret.Add(lu);
}
if(ld!=null && ld.isObstacle==false && ret.Contains(left) && ret.Contains(down))
{
ret.Add(ld);
}
if(ru!=null && ru.isObstacle==false && ret.Contains(right) && ret.Contains(up))
{
ret.Add(ru);
}
if(rd!=null && rd.isObstacle==false && ret.Contains(right) && ret.Contains(down))
{
ret.Add(rd);
}
return ret;
}
//计算G值
float CalcG(AStarPoint surroundPoint, AStarPoint minPoint)
{
return Vector2.Distance(surroundPoint.position, minPoint.position) + minPoint.G;
}
//计算F值
void CalcF(AStarPoint nowPoint,AStarPoint endPoint)
{
float H = Mathf.Abs(endPoint.posX - nowPoint.posX) + Mathf.Abs(endPoint.posY - nowPoint.posY);
float G = 0;
if(nowPoint.parentPoint==null)
{
G = 0;
}
else
{
G = Vector2.Distance(nowPoint.parentPoint.position, nowPoint.position) + nowPoint.parentPoint.G;
}
nowPoint.G = G;
nowPoint.H = H;
nowPoint.F = G + H;
}
}
方块移动方法:
using System.Collections;
using System.Collections.Generic;
using UnityEngine;
public class Cube : MonoBehaviour
{
AStarAlgorithm myAlgorithm;
AStarPoint[,] pointGrid;
Stack<AStarPoint> pathPosStack;
AStarPoint startPos;//开始位置
AStarPoint endPos;//结束位置
GameObject player;//玩家
void Start()
{
myAlgorithm = AStarAlgorithm.GetInstance;//获取算法实例
pointGrid = myAlgorithm.pointGrid;//获取地图点集合
player = GameObject.FindGameObjectWithTag("Player");//获取玩家
//设置障碍物
myAlgorithm.SetObstacle(5, 3);
myAlgorithm.SetObstacle(6, 3);
myAlgorithm.SetObstacle(5, 4);
myAlgorithm.SetObstacle(6, 4);
myAlgorithm.SetObstacle(1, 7);
myAlgorithm.SetObstacle(2, 7);
myAlgorithm.SetObstacle(3, 7);
myAlgorithm.SetObstacle(4, 7);
//开始定位玩家和cube所在的位置进行移动
InvokeRepeating("Relocate", 0,1f);
}
static Coroutine C;
/// <summary>
/// 定位cube和玩家的位置作为起始点和终点
/// </summary>
void Relocate()
{
//使用射线检测的方法定位两者的位置,赋值给startPos和endPos
RaycastHit hit1, hit2;
if (Physics.Raycast(new Ray(gameObject.transform.position, Vector3.down), out hit1)
&& Physics.Raycast(new Ray(player.transform.position, Vector3.down), out hit2))
{
GameObject startObject = hit1.collider.gameObject;
GameObject endObject = hit2.collider.gameObject;
foreach (AStarPoint point in pointGrid)
{
if (point.gameObject == startObject)
{
startPos = point;
}
if (point.gameObject == endObject)
{
endPos = point;
}
}
}
//获取寻路路径
pathPosStack = myAlgorithm.FindPath(startPos, endPos);
//开始寻路
try { StopCoroutine(C); } catch { }//停止之前的协程
C = StartCoroutine(Walk());
}
/// <summary>
/// cube移动的协程
/// </summary>
/// <returns></returns>
IEnumerator Walk()
{
AStarPoint targetPos = startPos;
while (true)
{
if (targetPos.gameObject.transform.position.x==gameObject.transform.position.x
&& targetPos.gameObject.transform.position.z==gameObject.transform.position.z && pathPosStack.Count > 0)
{
targetPos = pathPosStack.Peek();
pathPosStack.Pop();
}
Vector3 dis = new Vector3(targetPos.gameObject.transform.position.x,
gameObject.transform.position.y,
targetPos.gameObject.transform.position.z);
gameObject.transform.position = Vector3.MoveTowards(gameObject.transform.position, dis, 5*Time.deltaTime);
yield return null;
}
}
}
运行游戏,可以看见寻路算法十分有效,Cube可以完美避开障碍物,无论Player在哪里都能被找到