# 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 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):
    def arm(): 
        forward(6*unit)
        right(90)
        forward(1*unit)
        right(90)
        forward(6*unit)
        left(90)
        forward(2.5*unit)
        left(90)
    left(90)
    forward(8*unit)
    right(90)
    forward(2*unit)
    arm()
    arm()
    forward(6*unit)
    right(90)
    forward(1*unit)
    right(90)
    forward(8*unit)
    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):
    forward(2*unit)
    left(90)
    forward(3*unit)
    right(90+36.87)
    forward(5*unit)
    left(36.87+26.57)
    forward(sqrt(5)*unit)
    left(180-36.87-26.57)
    forward(5*unit)
    right(180-2*36.87)
    forward(5*unit)
    left(180-36.87-26.57)
    forward(sqrt(5)*unit)
    left(26.57+36.87)
    forward(5*unit)
    right(90+36.87)
    forward(3*unit)
    left(90)
    forward(2*unit)
    left(90)
    forward(8*unit)
    left(90)





def draw_letter_l(unit):
    forward(8*unit)
    left(90)
    forward(1*unit)
    left(90)
    forward(7*unit)
    right(90)
    forward(7*unit)
    left(90)
    forward(1*unit)
    left(90)
    forward(8*unit)
    left(90)


def draw_letter_m(unit):
    pass

def draw_letter_n(unit):
    pass

def draw_letter_o(unit):
    penup()
    forward(4*unit)
    pendown()
    circle(4*unit)
    penup()
    left(90)
    forward(2*unit)
    right(90)
    pendown()
    circle(2*unit)
    penup()
    backward(4*unit)
    right(90)
    forward(2*unit)
    pendown()
    left(90)


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):
    pass