Python求两个圆的交点坐标或三个圆的交点坐标方法_Python

Python求两个圆的交点坐标或三个圆的交点坐标方法

2021-04-16 00:43zsc201825 Python

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计算两个圆的交点

代码如下：

									# -*- coding: utf-8 -*-

									import math

									import numpy as np

									def insec(p1,r1,p2,r2):

									 x = p1[0]

									 y = p1[1]

									 R = r1

									 a = p2[0]

									 b = p2[1]

									 S = r2

									 d = math.sqrt((abs(a-x))**2 + (abs(b-y))**2)

									 if d > (R+S) or d < (abs(R-S)):

									  print ("Two circles have no intersection")

									  return

									 elif d == 0 and R==S :

									  print ("Two circles have same center!")

									  return

									 else:

									  A = (R**2 - S**2 + d**2) / (2 * d)

									  h = math.sqrt(R**2 - A**2)

									  x2 = x + A * (a-x)/d

									  y2 = y + A * (b-y)/d

									  x3 = round(x2 - h * (b - y) / d,2)

									  y3 = round(y2 + h * (a - x) / d,2)

									  x4 = round(x2 + h * (b - y) / d,2)

									  y4 = round(y2 - h * (a - x) / d,2)

									  print (x3, y3)

									  print (x4, y4)

									  c1=np.array([x3, y3])

									  c2=np.array([x4, y4])

									  return c1,c2

									P1=np.array([-5,0])

									R1=10

									P2=np.array([5,0])

									R2=5

									C=insec(P1,R1,P2,R2)

									C1=C[0]

									C2=C[1]