用C语言写代码解决电路布线问题
时间: 2024-01-27 16:04:20 浏览: 79
以下是一个简单的用C语言解决电路布线问题的示例代码:
```c
#include <stdio.h>
#include <stdlib.h>
#define MAX_NODES 100
#define MAX_EDGES 1000
typedef struct {
int x, y;
} Point;
typedef struct {
int from, to;
double weight;
} Edge;
Point nodes[MAX_NODES];
Edge edges[MAX_EDGES];
int cmp(const void *a, const void *b) {
Edge *a1 = (Edge *)a;
Edge *b1 = (Edge *)b;
if (a1->weight < b1->weight) {
return -1;
} else if (a1->weight > b1->weight) {
return 1;
} else {
return 0;
}
}
void kruskal(int n, int m) {
int i, j, k;
int parent[MAX_NODES];
double cost = 0;
for (i = 0; i < n; i++) {
parent[i] = i;
}
qsort(edges, m, sizeof(Edge), cmp);
for (i = 0; i < m; i++) {
int from = edges[i].from;
int to = edges[i].to;
double weight = edges[i].weight;
int root1 = from, root2 = to;
while (root1 != parent[root1]) {
root1 = parent[root1];
}
while (root2 != parent[root2]) {
root2 = parent[root2];
}
if (root1 != root2) {
cost += weight;
parent[root1] = root2;
printf("(%d,%d) %lf\n", from, to, weight);
}
}
printf("Cost of minimum spanning tree: %lf\n", cost);
}
int main() {
int n, m, i, j, k;
printf("Enter the number of nodes: ");
scanf("%d", &n);
printf("Enter the coordinates of the nodes:\n");
for (i = 0; i < n; i++) {
scanf("%d %d", &nodes[i].x, &nodes[i].y);
}
k = 0;
for (i = 0; i < n - 1; i++) {
for (j = i + 1; j < n; j++) {
double distance = sqrt(pow(nodes[i].x - nodes[j].x, 2) + pow(nodes[i].y - nodes[j].y, 2));
edges[k].from = i;
edges[k].to = j;
edges[k].weight = distance;
k++;
}
}
m = k;
printf("Enter the number of edges: ");
scanf("%d", &m);
printf("Enter the edges and their weights:\n");
for (i = 0; i < m; i++) {
scanf("%d %d %lf", &edges[i].from, &edges[i].to, &edges[i].weight);
}
kruskal(n, m);
return 0;
}
```
该示例代码使用了Kruskal算法来求解电路布线问题,其思路是将电路看作带权无向图,通过求解最小生成树来得到最优的布线方案。在代码中,我们首先输入节点的坐标,根据节点坐标计算出边的权重,然后使用Kruskal算法求解最小生成树并输出结果。需要注意的是,该示例代码只是一个简单的示例,实际的电路布线问题可能会更加复杂,需要根据具体情况进行调整和修改。
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