#######15.9 p175

import math

class Circle: #

"""

This is a circle Class,

incude Center and radius

"""

class Point:

"""

This is a point

"""

class Rectangle():

"""

This is a 矩形

"""

radius=Circle()

radius.x=75.0

center=Circle()

center.box=Point()

center.box.x=150.0

center.box.y=100.0

##矩形

box=Rectangle()

box.wei=100.0

box.hei=100.0

box.point=Point()

#計(jì)算點(diǎn)到圓心的距離

def point_in_len(x,y):

b=math.sqrt((x-center.box.x)**2+(y-center.box.y)**2)

return b

#計(jì)算點(diǎn)是否在圓內(nèi)

def point_in_circle(x,y):

b=point_in_len(x,y)

if b <=radius.x:

print( b)

return True

else:

return False

#

#計(jì)算矩形全部在圓內(nèi)

def rect_in_circle(x,y):

x1=x+box.wei

y1=y+box.hei

b1=math.sqrt((x-center.box.x)**2+(y-center.box.y)**2)

b2= math.sqrt((x1-center.box.x)**2+(y-center.box.y)**2)

b3= math.sqrt((x-center.box.x)**2+(y1-center.box.y)**2)

b4=math.sqrt(box.wei**2+box.hei**2)

if b4 <=radius.x:

if b1<=radius.x and b2<=radius.x and b3<=radius.x:

return True

else:

return False

else:

return False

def rect_circle_overlap(x,y): ###

#算如果矩形在圓形的一部分就返回Ture，

#原理：比對(duì)在矩形的范圍內(nèi)所有的點(diǎn)，是否有到圓心的距離，小于半徑的

###原理：如果有符合的就計(jì)數(shù)+1

##并計(jì)算 計(jì)數(shù)是否大于1，如果大于1，則認(rèn)為矩形有點(diǎn)是在圓形中

x2=int(x)

x3=x2+int(x+box.wei)

y2=int(y)

y3=y2+int(y+box.hei)

count=0

for x1 in range(x2,x3):

for y1 in range(y2,y3):

len1=math.sqrt((x1-center.box.x)**2+(y1-center.box.y)**2)

if len1 >radius.x:

count=count+0

else:

count+=1

if count >=1:

return True

point=Point()

point.x=90.0

point.y=90.0

print(point_in_circle(point.x,point.y))

###矩形

box.point.x=160.0

box.point.y=100.0

###計(jì)算矩形是否全部包含在圓形內(nèi)

print(rect_in_circle(box.point.x,box.point.y))

##計(jì)算矩形是否有部分在圓形內(nèi)

print(rect_circle_overlap(box.point.x,box.point.y))

總結(jié)

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