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具体原理网上很多,我就不赘述了。下面直接上代码,代码是ai生成的,(用文心一言,回答一半直接结束了,后续继续也接不上,一句话就是难用。然后用通义千问,直接改了两行代码就能用了。文心一言小垃圾鉴定完毕。)
#include <iostream> #include <vector> #include <queue> #include <cmath> #include <climits> #include <algorithm> using namespace std; #define SWAMPCOST 2 struct Node { int x, y; int g; // 从起始节点到当前节点的实际代价 int h; // 启发式函数估算的代价,这里简单使用曼哈顿距离 Node* parent; Node(int x_, int y_) : x(x_), y(y_), g(0), h(0), parent(nullptr) {} int f() const { return g + h; } // 总代价函数 }; // 计算曼哈顿距离作为启发式函数 int heuristic(Node* a, Node* b) { return abs(a->x - b->x) + abs(a->y - b->y); } // 实现优先队列,按f值排序 struct Compare { bool operator()(Node* a, Node* b) { return a->f() > b->f(); } }; // A* 算法核心函数 vector<Node*> aStar(Node* start, Node* goal, vector<vector<int>>& grid) { int width = grid.size(); int height = grid[0].size(); priority_queue<Node*, vector<Node*>, Compare> openSet; vector<vector<Node*>> closedSet(width, vector<Node*>(height, nullptr)); start->g = 0; start->h = heuristic(start, goal); openSet.push(start); while (!openSet.empty()) { Node* current = openSet.top(); openSet.pop(); //printf("(%d,%d) ",current->x,current->y); if (current->x == goal->x &¤t->y == goal->y) break; int dx[] = {-1, 0, 1, 0}; int dy[] = {0, 1, 0, -1}; int movecost[]={1,999,SWAMPCOST,3}; for (int i = 0; i < 4; ++i) { int newX = current->x + dx[i]; int newY = current->y + dy[i]; if (newX >= 0 && newX < width && newY >= 0 && newY < height && grid[newX][newY] != 1) { Node* neighbor = new Node(newX, newY); //printf("(%d,%d)\n",newX,newY); neighbor->g = current->g + movecost[grid[neighbor->x][neighbor->y]]; neighbor->h = heuristic(neighbor, goal); neighbor->parent = current; if (closedSet[newX][newY] == nullptr || neighbor->g < closedSet[newX][newY]->g) { openSet.push(neighbor); //printf("(%d,%d) ",neighbor->x,neighbor->y); closedSet[newX][newY] = neighbor; } } } } // 重构路径 vector<Node*> path; Node* currentNode = closedSet[goal->x][goal->y]; while (currentNode != nullptr) { path.push_back(currentNode); currentNode = currentNode->parent; } reverse(path.begin(), path.end()); // 反转得到正确顺序的路径 return path; } int main() { // 初始化一个简单的网格地图,0代表可通行,1代表障碍物,2代表沼泽耗费2移动点 ,3代表陷阱耗费3移动点 vector<vector<int>> grid = { {0, 2, 0, 0}, {0, 3, 0, 0}, {1, 1, 1, 0}, {0, 0, 0, 0} }; Node* start = new Node(0, 0); Node* goal = new Node(3, 0); vector<Node*> path = aStar(start, goal, grid); //vector<vector<char>> showPath={}; char showPath[4][4]={}; for (size_t i = 0; i < grid.size(); ++i) { // 遍历每一行 for (size_t j = 0; j < grid[i].size(); ++j) { // 遍历每一列 std::cout << grid[i][j] << " "; // 输出当前元素// showPath[i][j]=grid[i][j]+'0'; } std::cout << std::endl; // 换行,表示下一行开始 } cout << "Path found:\n"; for (Node* node : path) { cout << "(" << node->x << ", " << node->y << ") "; showPath[node->x][node->y]='*'; } std::cout << std::endl; // 换行,表示下一行开始 for (size_t i = 0; i < 4; ++i) { // 遍历每一行 for (size_t j = 0; j < 4; ++j) { // 遍历每一列 std::cout << showPath[i][j]; // 输出当前元素 if (j < 3) { // 如果不是最后一列,输出分隔符(例如空格) std::cout << " "; } } std::cout << std::endl; // 换行,表示下一行开始 } cout << endl; // 注意:实际应用中需要释放动态分配的内存 return 0; }
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