chicha v1.2

import matplotlib.pyplot as plt
import matplotlib.patches
import matplotlib.path
import numpy as np
import math

class Line:
    def __init__(self, x1, y1, x2, y2):
        if x2<x1:
            self._x1=x2
            self._y1=y2
            self._x2=x1
            self._y2=y1
        else:
            self._x1=x1
            self._y1=y1
            self._x2=x2
            self._y2=y2
        self.xi=0
        self.yi=0
        self.xj=0
        self.yj=0

    def get_A(self):
        return self._y2-self._y1

    def get_B(self):
        return self._x1-self._x2

    def get_C(self):
        return self._x2*self._y1-self._x1*self._y2

    def info(self):
        print(self.get_A(), self.get_B(), self.get_C())

    def show(self):
        x=[self._x1,self._x2]
        y=[self._y1,self._y2]
        plt.plot(x, y)


    def angle(self):
        if self._x2-self._x1:
            return math.atan(abs(self._y2-self._y1)/abs(self._x2-self._x1))
        else:
            return math.pi/2

    def check_a(self):
        if self._x2-self._x1:
            return (self._y2-self._y1)/(self._x2-self._x1)
        else:
            return 1

    def check_ins(self, circle):
        if (self._x1<=circle.xi<=self._x2 and self._y1<=circle.yi<=self._y2 or self._x1<=circle.xj<=self._x2 and self._y1<=circle.yj<=self._y2) or self.check_a()<0 and (self._x1<=circle.xi<=self._x2 and self._y2<=circle.yi<=self._y1 or self._x1<=circle.xj<=self._x2 and self._y2<=circle.yj<=self._y1):
            return 1
        else:
            return 0

class Circle:
    def __init__(self, x, y, r):
        self._x=x
        self._y=y
        self._r=r

    def show(self):
        axes = plt.gca()
        axes.set_aspect("equal")
        cc = matplotlib.patches.Circle((self._x,self._y),self._r, fill=0)
        axes.add_patch(cc)

    def dist(self, line):
        a=line.get_A()
        b=line.get_B()
        c=line.get_C()
        return abs(a*self._x+b*self._y+c)/((a**2+b**2)**(1/2))

    def intersect(self, line):
        A=line.get_A()
        B=line.get_B()
        C=line.get_C()
        ys=(B*C+A*B*self._x-A**2*self._y)/(-A**2-B**2)
        if A:
            xs=-(B*ys+C)/A
        else:
            xs=self._x
        a=line.angle()
        l=(self._r**2-self.dist(line)**2)**(1/2)
        lx=l*math.cos(a)
        ly=l*math.sin(a)
        if line.check_a()>0:
            self.xi=xs-lx
            self.yi=ys-ly
            self.xj=xs+lx
            self.yj=ys+ly
        else:
            self.xi=xs-lx
            self.yi=ys+ly
            self.xj=xs+lx
            self.yj=ys-ly
        if line.check_a()>0 and line.check_ins(self):
            return 1
        else:
            return 0

    def check(self, line):
        if self.dist(line)>self._r or not self.intersect(line):
            return 0
        else:
            return 1

##class Polygon:


L=Line(1.,0.,4.,0.)
C=Circle(2.5, 1., 1.5)
L.show()
C.show()
plt.show()
print(C.dist(L))
print(C.check(L))
L.info()