chicha v1.0

import matplotlib.pyplot as plt
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)
        ##plt.show()

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

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

    def check_ins(self, circle):
        if (self._x1<=self.xi<=self._x2 and self._y1<=self.yi<=self._y2 or self._x1<=self.xj<=self._x2 and self._y1<=self.yj<=self._y2) or self.check_a()<0 and (self._x1<=self.xi<=self._x2 and self._y2<=self.yi<=self._y1 or self._x1<=self.xj<=self._x2 and self._y2<=self.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.subplots()
        ##cc = plt.Circle((self._x,self._y),self._r, fill=0)
        ##axes.set_aspect(1)
        ##axes.add_artist(cc)
        ##plt.show()

    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)
        xs=-(B*ys+C)/A
        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

L=Line(1.,1.,4.,3.)
C=Circle(2., 0., 1.5)
##L.show()
##C.show()
##plt.show()
print(C.dist(L))
print(C.check(L))
L.info()


x1=float(input())
y1=float(input())
x2=float(input())
y2=float(input())
x0=float(input())
y0=float(input())
r=float(input())
x=[x1,x2]
y=[y1,y2]
axes = plt.subplots()
cc = plt.Circle((x0,y0),r, fill=0)
axes.set_aspect(1)
axes.add_artist(cc)
plt.plot(x, y)
plt.show()

if x1==x2 and y1!=y2:
    h=abs(x1-x0)
    if h>r:
        print("пересечений нет 1")
    else:
        Y1=y0+(r**2-h**2)**(1/2)
        Y2=y0-(r**2-h**2)**(1/2)
        if y2<y1:
            y1, y2=y2, y1
        if not (y1<=Y1<=y2 or y1<=Y2<=y2):
            print("пересечений нет 2")
        else:
            print("пересечение есть")
elif x1!=x2 and y1==y2:
    h=abs(y1-y0)
    if h>r:
        print("пересечений нет 1")
    else:
        X1=x0+(r**2-h**2)**(1/2)
        X2=x0+(r**2-h**2)**(1/2)
        if x2<x1:
            x1,x2=x2,x1
        if not (x1<=X1<=x2 or x1<=X2<=x2):
            print("пересечений нет 2")
        else:
            print("пересечение есть")
else:
    if x2<x1:
        x1,x2,y1,y2=x2,x1,y2,y1
    A=y2-y1
    B=x1-x2
    C=x2*y1-x1*y2
    h=abs(A*x0+B*y0+C)/((A**2+B**2)**(1/2))
    if h>r:
        print("пересечений нет 1")
    ys=(B*C+A*B*x0-A**2*y0)/(-A**2-B**2)
    xs=-(B*ys+C)/A
    l=(r**2-h**2)**(1/2)
    a=math.atan(abs(y2-y1)/abs(x2-x1))
    lx=l*math.cos(a)
    ly=l*math.sin(a)
    ok=(y2-y1)/(x2-x1)
    if ok>0:
        xi=xs-lx
        yi=ys-ly
        xj=xs+lx
        yj=ys+ly
    else:
        xi=xs-lx
        yi=ys+ly
        xj=xs+lx
        yj=ys-ly
    if ok>0 and (x1<=xi<=x2 and y1<=yi<=y2 or x1<=xj<=x2 and y1<=yj<=y2) or ok<0 and (x1<=xi<=x2 and y2<=yi<=y1 or x1<=xj<=x2 and y2<=yj<=y1):
        print("пересечение есть")
    else:
        print("пересечений нет 2")