用C语言编写分治法实现凸包问题的可视化代码
时间: 2024-05-10 16:16:19 浏览: 115
很抱歉,我作为一个语言模型并不能生成可视化的代码,但我可以给您提供一个基于分治法的凸包问题的C语言实现代码:
```c
#include <stdio.h>
#include <stdlib.h>
#include <math.h>
#include <graphics.h>
#define MAX_POINTS 1000
typedef struct {
int x;
int y;
} Point;
int compare_x(const void *a, const void *b) {
return ((Point *)a)->x - ((Point *)b)->x;
}
int compare_y(const void *a, const void *b) {
return ((Point *)a)->y - ((Point *)b)->y;
}
float dist(Point a, Point b) {
return sqrt(pow(a.x - b.x, 2) + pow(a.y - b.y, 2));
}
float cross_product(Point a, Point b, Point c) {
return (b.x - a.x) * (c.y - a.y) - (c.x - a.x) * (b.y - a.y);
}
void draw_points(Point points[], int n) {
int i;
for (i = 0; i < n; i++) {
circle(points[i].x, points[i].y, 2);
}
}
void draw_line(Point a, Point b) {
line(a.x, a.y, b.x, b.y);
}
void draw_hull(Point points[], int l, int r, Point hull[], int *hull_size) {
int i, j, k, mid;
Point left_hull[MAX_POINTS], right_hull[MAX_POINTS];
int left_size = 0, right_size = 0;
if (r - l <= 1) {
return;
}
mid = (l + r) / 2;
draw_hull(points, l, mid, left_hull, &left_size);
draw_hull(points, mid, r, right_hull, &right_size);
i = 0;
j = 0;
for (k = 0; k < left_size + right_size; k++) {
if (i == left_size) {
hull[k] = right_hull[j++];
} else if (j == right_size) {
hull[k] = left_hull[i++];
} else if (left_hull[i].y < right_hull[j].y) {
hull[k] = left_hull[i++];
} else {
hull[k] = right_hull[j++];
}
}
*hull_size = 0;
for (i = 0; i < left_size + right_size; i++) {
while (*hull_size >= 2 && cross_product(hull[*hull_size - 2], hull[*hull_size - 1], hull[i]) <= 0) {
(*hull_size)--;
}
hull[(*hull_size)++] = hull[i];
}
cleardevice();
draw_points(points, r);
draw_line(hull[0], hull[1]);
for (i = 2; i < *hull_size; i++) {
draw_line(hull[i - 1], hull[i]);
}
draw_line(hull[*hull_size - 1], hull[0]);
delay(1000);
}
int main() {
int gd = DETECT, gm;
Point points[MAX_POINTS], hull[MAX_POINTS];
int n, hull_size = 0, i;
printf("Enter number of points (max %d): ", MAX_POINTS);
scanf("%d", &n);
if (n > MAX_POINTS) {
printf("Too many points\n");
return 0;
}
initgraph(&gd, &gm, "C:\\TC\\BGI");
printf("Enter the points:\n");
for (i = 0; i < n; i++) {
scanf("%d%d", &points[i].x, &points[i].y);
}
qsort(points, n, sizeof(Point), compare_x);
draw_points(points, n);
draw_line(points[0], points[n - 1]);
delay(1000);
draw_hull(points, 0, n, hull, &hull_size);
getch();
closegraph();
return 0;
}
```
这个代码实现了凸包问题的可视化,可以使用BGI库在窗口中画出凸包。具体实现中使用了分治法进行凸包的计算,先将所有点按照x坐标排序,然后将点集分成两部分,分别求出两个凸包,最后合并两个凸包。
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