http://xiaoze.info:8080/articles/2020/10/28/1603880094844.html
import java.util.*;
/**
* @author sunze
* @date 2020/10/26 4:55 下午
*/
public class Astar {
/**
* 公式 :F=G+H
*
* 含义:G:起点到当前点的距离 H :当前点到终点的距离。
*
* F:等于前面两者之和,用于判定下一节点该往哪里走。如下图,此时,我们先不考虑障碍物先。
*/
/**
* 初始化地图
*/
public static final String[][] MAP={
// 0 1 2 3 4 5 6 7 8
/*0*/ { "0", "0", "0", "0", "0", "0", "0", "0", "0" },
/*1*/ { "0", "0", "0", "0", "0", "0", "0", "0", "0" },
/*2*/ { "0", "0", "0", "0", "0", "0", "0", "0", "0" },
/*3*/ { "0", "0", "0", "1", "0", "0", "0", "0", "0" },
/*4*/ { "0", "0", "0", "1", "0", "0", "0", "0", "0" },
/*5*/ { "0", "0", "0", "1", "0", "0", "0", "0", "0" },
/*6*/ { "0", "0", "0", "1", "0", "0", "0", "0", "0" },
/*7*/ { "0", "0", "0", "1", "0", "0", "0", "0", "0" },
/*8*/ { "0", "0", "0", "1", "0", "0", "0", "0", "0" }
};
/**
* 横着走所需能量
*/
public static final Integer HORIZONTAL_STEP= 10;
/**
* 斜着走所需能量
*/
public static final Integer OBLIQUE_STEP= 14;
/**
* 可使用列表
*/
public static List OPEN=new ArrayList<>();
/**
* 不可使用列表
*/
public static List CLOSE=new ArrayList<>();
private static final Node END_NODE=new Node(6,7);
private static final Node START_NODE=new Node(7,1);
// private static void
// 0 1 2 3 4 5 6 7 8
// /*0*/ { 0, 0, 0, 0, 0, 0, 0, 0, 0 },
// /*1*/ { 0, 0, 0, 0, 0, 0, 0, 0, 0 },
// /*2*/ { 0, 0, 0, 0, 0, 0, 0, 0, 0 },
// /*3*/ { 0, 0, 0, 1, 0, 0, 0, 0, 0 },
// /*4*/ { 0, 0, 0, 1, 0, 0, 0, 0, 0 },
// /*5*/ { 0, 0, 0, 1, 0, 0, 0, 0, 0 },
// /*6*/ { 0, 0, 0, 1, 0, 0, 0, 0, 0 },
// /*7*/ { 0, 0, 0, 0, 0, 0, 0, 0, 0 },
// /*8*/ { 0, 0, 0, 0, 0, 0, 0, 0, 0 }
public static void main(String[] args) {
//将开始节点加入可使用列表
START_NODE.parent=START_NODE;
OPEN.add(START_NODE);
while (CLOSE.indexOf(END_NODE)<0){
//查找open中的F值最小的节点
Node minFNodeInOpenList = OPEN.remove(0);
//将这个节点放到close节点中
CLOSE.add(0,minFNodeInOpenList);
//获取这个节点周围的可移动节点并放入到open中
findNeighborNodes(minFNodeInOpenList);
}
//回溯查找最短路径
Node temp = CLOSE.get(0);
List result = new ArrayList<>();
while (temp.parent!=null&&temp!=temp.parent){
result.add(0,temp);
temp=temp.parent;
}
result.add(0,START_NODE);
String[][] resultMap = MAP;
for (Node node : result) {
resultMap[node.x][node.y]="$";
}
showResult(resultMap);
System.out.println("-------------------");
String[][] tempMap = MAP;
for (Node node : CLOSE) {
System.out.println(node.x+":"+node.y);
tempMap[node.x][node.y]="*";
}
showResult(tempMap);
}
private static void showResult(String[][] arr){
for (int i = 0, j = 0; i < arr.length;) {
System.out.print(arr[i][j]+" ");
j++;
if (j >= arr[i].length) {
i++;
j = 0;
System.out.print("\n");
}
}
}
/**
* 包括斜着周围一共有8个节点
* @param currentNode
*/
public static void findNeighborNodes(Node currentNode) {
List temp = new ArrayList<>();
int x = currentNode.x;
int y = currentNode.y;
//
for (int i=x-1>=0?x-1:0;i<=(x+1<=8?x+1:8);i++){
for (int j=y-1>=0?y-1:0;j<=(y+1<=8?y+1:8);j++){
//去除当前节点并且此节点不在close列表中
if(!(i==x&&j==y)&&CLOSE.indexOf(new Node(i,j))<0&&OPEN.indexOf(new Node(i,j))<0){
//除去障碍物
if(MAP[i][j]!="1"){
//计算F值
Node node = new Node(i, j);
node.parent=currentNode;
int g = calcG(currentNode, node);
int h = calcH(END_NODE, node);
node.H=h;
node.G=g;
node.calcF();
temp.add(node);
}
}
}
}
OPEN.addAll(temp);
Collections.sort(OPEN);
}
private static int calcG(Node start, Node node) {
if(start.x==node.x||start.y==node.y){
return HORIZONTAL_STEP+node.parent.G;
}else{
return OBLIQUE_STEP+node.parent.G;
}
}
/**
* 这个是最简单粗暴的计算H值得方法,当然还有其它方法,这里先理解AStar的思想先,以后可以自己改进这个计算H值得方法
*/
private static int calcH(Node end, Node node) {
int step = Math.abs(node.x - end.x) + Math.abs(node.y - end.y);
return step * HORIZONTAL_STEP;
}
public static class Node implements Comparable{
public Node(int x, int y) {
this.x = x;
this.y = y;
}
public int x;
public int y;
public int F;
public int G;
public int H;
public void calcF() {
this.F = this.G + this.H;
}
public Node parent;
@Override
public boolean equals(Object o) {
if (this == o) return true;
if (o == null || getClass() != o.getClass()) return false;
Node node = (Node) o;
return x == node.x &&
y == node.y;
}
@Override
public int hashCode() {
return Objects.hash(x, y);
}
@Override
public int compareTo(Node o) {
if(this.F > o.F){
return 1;
}
if(this.F < o.F){
return -1;
}
return 0;
}
}
}