# 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 *
from math import sqrt

def IE(unit):
    right(90)
    forward(unit * 2)
    right(90)
    forward(unit * 3)
    left(90)
    forward(unit)
    left(90)


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




def draw_letter_a(unit):
    pass

def draw_letter_b(unit):
    pass

def draw_letter_c(unit):
    pass

def draw_letter_d(unit):
    pass

def draw_letter_e(unit):
    left(90)
    forward(unit * 8)
    right(90)
    forward(unit * 4)
    IE(unit)
    forward(unit * 3)
    IE(unit)
    forward(unit * 3)
    right(90)
    forward(unit * 2)
    right(90)
    forward(unit * 4)
    right(180)
    



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(unit):
    pass

def draw_letter_l(unit):
    left(90)
    forward(unit * 8)
    right(90)
    forward(unit)
    right(90)
    forward(unit * 7)
    left(90)
    forward(unit * 3)
    right(90)
    forward(unit)
    right(90)
    forward(unit * 4)
    right(180)
    


def draw_letter_m(unit):
    pass

def draw_letter_n(unit):
    pass

def draw_letter_o(unit):
    penup()
    pendown()
    fly(unit * 4)
    circle(unit * 4)
    left(90)
    fly(unit)
    right(90)
    circle(unit * 3)
    right(90)
    fly(unit)
    left(90)
    fly(unit * -4)
    

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(unit):
    pass

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):
    penup()
    pendown()
    left(90)
    forward(unit)
    fly(unit * 6)
    forward(unit)
    right(90)
    forward(unit * 8)
    right(90)
    forward(unit)
    right(45)
    forward(unit * sqrt(72))
    left(135)
    forward(unit * 6)
    right(90)
    forward(unit)
    right(90)
    forward(unit * 8)
    right(90)
    fly(unit)
    right(45)
    forward(unit * sqrt(72))
    left(135)
    forward(unit * 6)
    left(90)
    fly(unit * 7)
    left(90)