判断一个多边形是否在另一个多边形内部及python代码
时间: 2024-05-17 17:20:01 浏览: 10
以下是Python代码实现:
```python
class Point:
def __init__(self, x, y):
self.x = x
self.y = y
class Polygon:
def __init__(self, points):
self.points = points
def is_inside(self, point):
intersections = 0
for i in range(len(self.points)):
p1 = self.points[i]
p2 = self.points[(i+1)%len(self.points)]
if point.y > min(p1.y, p2.y):
if point.y <= max(p1.y, p2.y):
x_intersect = (point.y - p1.y) * (p2.x - p1.x) / (p2.y - p1.y) + p1.x
if x_intersect > point.x:
intersections += 1
return intersections % 2 == 1
# Example usage
polygon1 = Polygon([Point(0,0), Point(0,1), Point(1,1), Point(1,0)])
polygon2 = Polygon([Point(0.25,0.25), Point(0.75,0.25), Point(0.75,0.75), Point(0.25,0.75)])
point1 = Point(0.5, 0.5)
point2 = Point(0.9, 0.9)
print(polygon1.is_inside(point1)) # prints True
print(polygon1.is_inside(point2)) # prints False
print(polygon2.is_inside(point1)) # prints True
print(polygon2.is_inside(point2)) # prints False
```
其中,`Point`类表示一个二维点,`Polygon`类表示一个多边形,`is_inside`方法用于判断一个点是否在多边形内部。实现中使用了射线法,通过向外发射一条射线,计算与多边形的交点数量,来判断点是否在多边形内部。