#typeface.py
# By Chris Proctor and _________

# Contains one function for each letter in the English alphabet. 
# Each function should draw its letter at a scale of `unit`, and then 
# return back to the same position and heading where it started. 

# Note: The `sqrt` function from math may be helpful--if you want to 
# move the turtle along the diagonal of a square with side length x, 
# the turtle should move a distance of sqrt(x)

from turtle import circle, left,right,forward,backward, penup, pendown, pencolor,pensize
from math import sqrt

def fly(distance):
    penup()
    forward(distance)
    pendown()

def draw_letter_a(size):
    fly(size)
    left(60)
    forward(2*(8*size)/sqrt(3))
    right(150)
    forward(8*size)
    left(180)
    fly(0.70*size)
    circle((3*size), 90)
    circle((0.50*size), 180)
    right(15)
    circle((6*size), 15)
    forward(3*size)


def draw_letter_b(unit):
    pass

def draw_letter_c(unit):
    pass

def draw_letter_d(size):
    fly(3*size)
    left(90)
    fly(8*size)
    right(180)
    circle(-18*size,25)
    circle(-0.70*size,280)
    forward(size)
    circle(5*size,20)
    left(10)
    circle(6*size,20)
    left(10)
    circle(6*size,20)
    left(10)
    circle(4*size,20)
    left(10)
    circle(10*size,15)
    circle(3*size,50)
    circle(5*size,60)
    circle(0.50*size, 180)

    


def draw_letter_e(unit):
    pass

def draw_letter_f(unit):
    pass

def draw_letter_g(unit):
    pass

def draw_letter_h(unit):
    pass

def draw_letter_i(unit):
    pass

def draw_letter_j(unit):
    pass

def draw_letter_k(size):
    fly(2*size)
    left(88)
    forward(8*size)
    right(88)
    fly(3*size)
    right(100)
    circle(-7*size, 50)
    circle(-1.5*size, 50)
    right(90)
    circle(-2*size, 160)
    circle(3*size,50)
    circle(0.5*size, 90)




def draw_letter_l(unit):
    pass

def draw_letter_m(unit):
    pass

def draw_letter_n(unit):
    pass

def draw_letter_o(unit):
    pass

def draw_letter_p(unit):
    pass

def draw_letter_q(unit):
    pass

def draw_letter_r(unit):
    pass

def draw_letter_s(unit):
    pass

def draw_letter_t(size):
    fly(4*size)
    left(90)
    fly(7*size)
    right(185)
    forward(6*size)
    left(5)
    circle(size,90)
    circle(3*size, 15)
    forward(0.5*size)
    right(190)
    fly(3.75*size)
    right(90)
    fly(6*size)
    circle(-2*size, 25)
    circle(-size, 85)
    forward(2*size)
    left(5)
    circle(3*size, 30)
    circle(size, 60)


def draw_letter_u(unit):
    pass

def draw_letter_v(unit):
    pass

def draw_letter_w(unit):
    pass

def draw_letter_x(unit):
    pass

def draw_letter_y(unit):
    pass

def draw_letter_z(unit):
    pass