#! /usr/bin/env python
# -*- coding: utf-8 -*-
'''
@filename : 平面坐標內矩形與圓是否相交
@usage :
@authors : U{peterguo}
@copyright: tencent
@date : 2012.08.21
@version : 1.0.0.0
Modified History:
2012.08.21 創建
'''
import os
import sys
import re
import urllib2
import time
import datetime
import math
def usage():
'''
用法說明
'''
sys.exit(1)
def bPointInCircle(fPointX, fPointY, fCircleX, fCircleY, fRadius):
oPoint = complex(fPointX, fPointY)
oCircle = complex(fCircleX, fCircleY)
if abs(oPoint - oCircle) < fRadius:
return True
else:
return False
def bPointInRectangle(fPointX, fPointY, fRectTopLeftX, fRectTopLeftY, fRectBottomRightX, fRectBottomRightY):
if not (fRectTopLeftX <= fPointX <= fRectBottomRightX or fRectTopLeftX >= fPointX >= fRectBottomRightX):
return False
if not (fRectTopLeftY <= fPointY <= fRectBottomRightY or fRectTopLeftY >= fPointY >= fRectBottomRightY):
return False
return True
def bCircleIntersectRectangle(fRectTopLeftX=0, fRectTopLeftY=10, fRectBottomRightX=20, fRectBottomRightY=0, #矩形左上點和右下點坐標
fCircleX=0, fCircleY=0, #圓心
fRadius=10): #圓半徑
o1 = complex(fRectTopLeftX, fRectTopLeftY)
o4 = complex(fRectBottomRightX, fRectBottomRightY)
o2 = complex(fRectBottomRightX, fRectTopLeftY)
o3 = complex(fRectTopLeftX, fRectBottomRightY)
bO1 = bPointInCircle(fCircleX, fCircleY, o1.real, o1.imag, fRadius)
bO2 = bPointInCircle(fCircleX, fCircleY, o2.real, o2.imag, fRadius)
bO3 = bPointInCircle(fCircleX, fCircleY, o3.real, o3.imag, fRadius)
bO4 = bPointInCircle(fCircleX, fCircleY, o4.real, o4.imag, fRadius)
bABCD = bPointInRectangle(fCircleX, fCircleY, o1.real, o1.imag + fRadius, o2.real, o2.imag - fRadius)
bEFGH = bPointInRectangle(fCircleX, fCircleY, o3.real, o3.imag + fRadius, o4.real, o4.imag - fRadius)
bIJKL = bPointInRectangle(fCircleX, fCircleY, o1.real - fRadius, o1.imag, o3.real + fRadius, o3.imag)
bMNOP = bPointInRectangle(fCircleX, fCircleY, o2.real - fRadius, o2.imag, o4.real + fRadius, o4.imag)
#print bO1 , bO2 , bO3 , bO4 , bABCD , bEFGH , bIJKL , bMNOP
return bO1 or bO2 or bO3 or bO4 or bABCD or bEFGH or bIJKL or bMNOP
if __name__ == "__main__":
print "False", bPointInCircle(0,0, 100, 100, 100)
print "False", bPointInCircle(0,0, 100, 100, 10)
print "True", bPointInCircle(0,0, 0, 0, 10)
print "True", bPointInRectangle(0, 0, -1, -2, 3, 4)
print "False", bPointInRectangle(0, 0, 1, 2, 3, 4)
print "True", bCircleIntersectRectangle()
print "False", bCircleIntersectRectangle(2.0, 4.0, 4.5, 1.0, 1.0, 2.0, 1.0)
print "True", bCircleIntersectRectangle(2.0, 4.0, 4.5, 1.0, 1.0, 2.0, 2.0)
print "False", bCircleIntersectRectangle(2.0, 4.0, 4.5, 1.0, 100.0, 2.0, 2.0)
print "True", bCircleIntersectRectangle(2.0, 4.0, 4.5, 1.0, 3.0, 3.0, 1.0)
print "False", bCircleIntersectRectangle(2.0, 4.0, 4.5, 1.0, 3.0, 3.0, 0.5)