判断点是否在多边形内部C++代码实现
时间: 2023-11-06 20:08:56 浏览: 110
C++判断点是否在多边形内
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以下是判断点是否在多边形内部的C语言代码实现:
```c
#include <stdio.h>
#include <stdbool.h>
typedef struct point {
double x, y;
} Point;
int isLeft(Point a, Point b, Point c) {
return ((b.x - a.x) * (c.y - a.y) - (b.y - a.y) * (c.x - a.x)) > 0;
}
bool isInsidePolygon(Point point, Point polygon[], int n) {
int wn = 0;
for (int i = 0; i < n; i++) {
if (polygon[i].x <= point.x && polygon[i + 1].x > point.x && isLeft(polygon[i], polygon[i + 1], point))
wn++;
else if (polygon[i].x > point.x && polygon[i + 1].x <= point.x && isLeft(polygon[i + 1], polygon[i], point))
wn--;
}
return wn != 0;
}
int main() {
Point point = { 1.0, 1.0 };
Point polygon[] = { {0.0, 0.0}, {0.0, 2.0}, {2.0, 2.0}, {2.0, 0.0}, {0.0, 0.0} };
int n = sizeof(polygon) / sizeof(polygon[0]) - 1;
bool result = isInsidePolygon(point, polygon, n);
printf("Point (%lf, %lf) is%s inside the polygon\n", point.x, point.y, result ? "" : " not");
return 0;
}
```
该实现使用了射线法。具体来说,对于多边形边界上的点,我们不认为它在多边形内部;对于多边形边界上的点,我们通过射线与多边形的交点个数来判断该点是否在多边形内部。如果交点个数为奇数,则该点在多边形内部,否则在多边形外部。
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