import turtle
 
class Dots:
    def __init__(self):
        self.dots = ''
        self.dotfactor = 2
        self.asy = '[asy]dotfactor = ' + str(self.dotfactor) +\
        '; label(" ",(-50,-50)); label(" ",(50,-50)); label(" ",(50,50)); label(" ",(-50,50)); {}[/asy]'
        self.t = turtle.Turtle()
        self.t.speed(0)
        self.pendown = True
        self.color3 = ''
        self.test = turtle.Turtle()
        self.test.speed(0)
        self.test.pu()
        self.test.ht()
        self.pi = 3.141592653589793
 
    def add_dot(self):
        x,y = self.t.pos()
        self.dots = 'dot(({:.3f},{:.3f}){});'.format(x,y,self.color3)
        self.dots += ' {}'
        self.asy = self.asy.format(self.dots)
 
    def fd(self,n):
        if self.pendown:
            for i in range(n):
                x,y = self.t.pos()
                self.add_dot()
                self.t.fd(1)
        else:
            self.t.speed(1)
            self.t.fd(n)
            self.t.speed(0)
 
    def bk(self,n):
        if self.pendown:
            for i in range(n):
                self.add_dot()
                self.t.bk(n)
        else:
            self.t.speed(1)
            self.t.bk(n)
            self.t.speed(0)
 
 
    def left(self,n):
        self.t.speed(1)
        self.t.left(n)
        self.t.speed(0)
 
    def right(self,n):
        self.t.speed(1)
        self.t.right(n)
        self.t.speed(0)
 
    def pu(self):
        self.pendown = False
        self.t.pu()
 
    def pd(self):
        self.pendown = True
        self.t.pd()
 
    def circle(self,r,extend):
        if self.pendown:
            self.test.goto(self.t.pos())
            self.test.setheading(self.t.heading())
            self.test.circle(r,extend)
            x,y = self.test.pos()
            for i in range(int(2*r*self.pi*(extend/360))):
                self.add_dot()
                self.t.circle(r,360/(2*r*self.pi))
            self.t.goto(x,y)
        else:
            self.t.speed(1)
            self.t.circle(r,extend)
            self.t.speed(0)
 
    def goto(self,x,y):
        if self.pendown:
            x2,y2 = self.t.pos()
            d = int(((x-x2)**2+(y-y2)**2)**(1/2))
            deg = self.t.heading()
            self.t.setheading(self.t.towards(x,y))
            self.fd(d)
            self.t.goto(x,y)
            self.dots = 'dot(({:.3f},{:.3f}){});'.format(x,y,self.color3)
            self.dots += '{}'
            self.asy = self.asy.format(self.dots)
            self.t.setheading(deg)
        else:
            self.t.speed(1)
            self.t.goto(x,y)
            self.t.speed(0)
 
    def color(self,color2):
        if color2 not in ['white','red','orange','yellow','green','blue','purple','black']:
            print('Invalid: ' + color2)
        elif color2 == 'black':
            self.color3 = ''
        else:
            self.color3 = ',' + color2
            self.t.color(color2)
 
    def print_code(self):
        self.asy = self.asy[0:-8] + self.asy[-6:]
        print(self.asy)
 
 
dots = Dots()
dots.pu()
dots.fd(50)
dots.pd()
dots.left(90)
dots.circle(50,360)
dots.pu()
dots.goto(25,20)
dots.pd()
dots.color('green')
dots.circle(4,360)
dots.pu()
dots.goto(-15,20)
dots.pd()
dots.circle(4,360)
dots.pu()
dots.goto(-23,-20)
dots.color('red')
dots.pd()
dots.left(180+45)
dots.circle(30,105)
dots.print_code();
dots.t.ht()