帮我写一段切比雪夫做评估函函数、加入惩罚函数得A*算法的C++代码,要能实现的代码。不要伪代码
时间: 2024-02-13 16:59:50 浏览: 135
好的,以下是一个使用切比雪夫距离作为评估函数并加入惩罚函数的 A* 算法的 C++ 实现:
```c++
#include <iostream>
#include <vector>
#include <queue>
#include <cmath>
#include <algorithm>
using namespace std;
// 定义地图节点类
class Node {
public:
int x;
int y;
int g; // 起点到当前节点的距离
int h; // 当前节点到终点的估计距离
Node* parent;
Node(int x, int y, int g = 0, int h = 0, Node* parent = nullptr)
: x(x), y(y), g(g), h(h), parent(parent) {}
int f() const { return g + h; }
};
// 计算切比雪夫距离
int chebyshev_distance(pair<int, int> a, pair<int, int> b) {
return max(abs(a.first - b.first), abs(a.second - b.second));
}
// 定义惩罚函数
int penalty_function(Node* node, vector<pair<int, int>>& obstacles) {
int penalty = 0;
for (auto& obstacle : obstacles) {
if (abs(node->x - obstacle.first) <= 1 && abs(node->y - obstacle.second) <= 1) {
penalty += 100;
}
}
return penalty;
}
// A*算法实现
vector<pair<int, int>> astar(pair<int, int> start, pair<int, int> end, vector<pair<int, int>>& obstacles) {
priority_queue<pair<int, Node*>, vector<pair<int, Node*>>, greater<pair<int, Node*>>> open_list;
vector<pair<int, int>> closed_list;
Node* start_node = new Node(start.first, start.second, 0, chebyshev_distance(start, end) + penalty_function(new Node(start.first, start.second), obstacles));
open_list.push(make_pair(start_node->f(), start_node));
while (!open_list.empty()) {
Node* current_node = open_list.top().second;
open_list.pop();
if (current_node->x == end.first && current_node->y == end.second) {
vector<pair<int, int>> path;
while (current_node) {
path.push_back(make_pair(current_node->x, current_node->y));
current_node = current_node->parent;
}
reverse(path.begin(), path.end());
return path;
}
closed_list.push_back(make_pair(current_node->x, current_node->y));
// 遍历当前节点的相邻节点
for (int dx : {-1, 0, 1}) {
for (int dy : {-1, 0, 1}) {
int x = current_node->x + dx;
int y = current_node->y + dy;
// 判断节点是否在地图内
if (x < 0 || x >= obstacles.size() || y < 0 || y >= obstacles[0].size()) {
continue;
}
// 判断节点是否为障碍物或者已经访问过
if (find(obstacles.begin(), obstacles.end(), make_pair(x, y)) != obstacles.end()
|| find(closed_list.begin(), closed_list.end(), make_pair(x, y)) != closed_list.end()) {
continue;
}
// 计算节点代价
int g = current_node->g + 1;
int h = chebyshev_distance(make_pair(x, y), end);
int f = g + h + penalty_function(new Node(x, y), obstacles);
Node* node = new Node(x, y, g, h, current_node);
// 将节点加入开启列表
open_list.push(make_pair(f, node));
}
}
}
return vector<pair<int, int>>();
}
int main() {
vector<pair<int, int>> obstacles = { {1, 2}, {2, 2}, {3, 2}, {4, 2}, {5, 2}, {6, 2} };
vector<pair<int, int>> path = astar(make_pair(0, 0), make_pair(9, 9), obstacles);
cout << "Path: ";
for (auto& p : path) {
cout << "(" << p.first << ", " << p.second << ") ";
}
cout << endl;
return 0;
}
```
需要注意的是,这只是一个简单的实现,如果需要用于实际场景中的路径规划,还需要考虑更多的因素,比如地形、障碍物的形状、大小等。
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