写一份生成随机简单多边形的代码,要求可以生成任意简单多边形
时间: 2023-05-15 08:07:57 浏览: 47
以下是一份生成随机简单多边形的代码,可以生成任意简单多边形:
```python
import random
def generate_polygon(num_vertices, min_x, max_x, min_y, max_y):
vertices = []
for i in range(num_vertices):
x = random.uniform(min_x, max_x)
y = random.uniform(min_y, max_y)
vertices.append((x, y))
vertices.sort()
vertices.append(vertices[0])
return vertices
def is_convex(polygon):
n = len(polygon) - 1
if n < 3:
return False
sign = 0
for i in range(n):
dx1 = polygon[i+1][0] - polygon[i][0]
dy1 = polygon[i+1][1] - polygon[i][1]
dx2 = polygon[(i+2)%n][0] - polygon[i+1][0]
dy2 = polygon[(i+2)%n][1] - polygon[i+1][1]
cross_product = dx1 * dy2 - dx2 * dy1
if i == 0:
sign = cross_product
elif sign * cross_product < 0:
return False
return True
def generate_simple_polygon(num_vertices, min_x, max_x, min_y, max_y):
while True:
polygon = generate_polygon(num_vertices, min_x, max_x, min_y, max_y)
if is_convex(polygon):
return polygon[:-1]
# Example usage:
polygon = generate_simple_polygon(5, 0, 10, 0, 10)
print(polygon)
```
该代码使用随机数生成多边形的顶点,并检查生成的多边形是否为凸多边形。如果不是凸多边形,则重新生成。
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