使用状态空间方法,用c语言代码实现:已知方格组成的如下环境地图,地图中深颜色的方格是障碍物;某机器人在该方格环境中移动,每一次移动只能移动到相邻的方格,并且不能移动到障碍物位置;它需从初始位置的方格移动到目标位置的方格,请为机器人构造从初始位置(起点)移动到目标位置(终点)的可行路径。
时间: 2024-02-22 20:55:41 浏览: 21
以下是使用状态空间方法实现路径搜索的C语言代码:
```c
#include <stdio.h>
#include <stdlib.h>
#include <stdbool.h>
#define ROWS 5
#define COLS 5
int map[ROWS][COLS] = {
{0, 0, 0, 1, 1},
{1, 0, 1, 0, 0},
{0, 0, 1, 0, 1},
{1, 0, 0, 0, 1},
{1, 1, 0, 0, 0}
};
int start_row = 0;
int start_col = 0;
int end_row = 4;
int end_col = 4;
typedef struct {
int row;
int col;
} State;
typedef struct {
State state;
int cost;
int heuristic;
} Node;
int heuristic(State state) {
// 计算当前状态到终点的曼哈顿距离
return abs(state.row - end_row) + abs(state.col - end_col);
}
bool is_goal_state(State state) {
return state.row == end_row && state.col == end_col;
}
bool is_valid_state(State state) {
if (state.row < 0 || state.col < 0 || state.row >= ROWS || state.col >= COLS) { // 超出地图范围
return false;
}
if (map[state.row][state.col] == 1) { // 障碍物
return false;
}
return true;
}
int get_successors(State state, State successors[]) {
int count = 0;
State next_state;
// 向上移动
next_state.row = state.row - 1;
next_state.col = state.col;
if (is_valid_state(next_state)) {
successors[count++] = next_state;
}
// 向下移动
next_state.row = state.row + 1;
next_state.col = state.col;
if (is_valid_state(next_state)) {
successors[count++] = next_state;
}
// 向左移动
next_state.row = state.row;
next_state.col = state.col - 1;
if (is_valid_state(next_state)) {
successors[count++] = next_state;
}
// 向右移动
next_state.row = state.row;
next_state.col = state.col + 1;
if (is_valid_state(next_state)) {
successors[count++] = next_state;
}
return count;
}
int compare_nodes(const void *a, const void *b) {
Node *node_a = (Node *)a;
Node *node_b = (Node *)b;
return (node_a->cost + node_a->heuristic) - (node_b->cost + node_b->heuristic);
}
void print_path(Node node) {
if (node.state.row == start_row && node.state.col == start_col) {
printf("(%d, %d)\n", node.state.row, node.state.col);
return;
}
print_path(node.parent);
printf("(%d, %d)\n", node.state.row, node.state.col);
}
void search() {
Node node;
node.state.row = start_row;
node.state.col = start_col;
node.cost = 0;
node.heuristic = heuristic(node.state);
node.parent = node;
Node queue[ROWS * COLS];
int queue_size = 1;
queue[0] = node;
while (queue_size > 0) {
// 从队列中取出代价最小的节点
qsort(queue, queue_size, sizeof(Node), compare_nodes);
node = queue[0];
if (is_goal_state(node.state)) {
print_path(node);
return;
}
queue_size--;
// 扩展当前节点的所有合法子节点
State successors[4];
int num_successors = get_successors(node.state, successors);
for (int i = 0; i < num_successors; i++) {
Node child;
child.state = successors[i];
child.cost = node.cost + 1;
child.heuristic = heuristic(child.state);
child.parent = node;
queue[queue_size++] = child;
}
}
printf("No path found.\n");
}
int main() {
search();
return 0;
}
```
该代码使用状态空间搜索方法实现了A*算法,从起点开始向四个方向搜索,选择代价最小的节点进行扩展,直到找到终点或者无法继续前进。找到路径后,按照搜索顺序反向输出路径。在每个节点处,计算当前状态到终点的曼哈顿距离作为启发函数,并将代价和启发函数的和作为搜索优先级的依据。
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