# 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):
    pendown()
    left(75)
    forward(unit * 8)      
    right(150)
    forward(unit * 8)      
    backward(unit * 4)     
    left(75)
    backward(unit * 2)      
    penup()
    setheading(0)
    goto(pos()[0] + unit * 8, pos()[1])  


def draw_letter_b(unit):
    pass

def draw_letter_c(unit):
    pass

def draw_letter_d(unit):
    pendown()
    left(90)
    forward(unit * 2)
    right(90)
    forward(unit)
    right(45)
    forward(unit / sqrt(2))
    right(45)
    forward(unit)
    right(45)
    forward(unit / sqrt(2))
    right(45)
    forward(unit)
    penup()
    setheading(0)
    forward(unit * 2)

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(unit):
    pass

def draw_letter_l(unit):
    left(90)
    forward(unit * 8)     
    backward(unit * 8)    
    right(90)
    forward(unit * 6)     
    backward(unit * 6)

def draw_letter_m(unit):
    pass

def draw_letter_n(unit):
    pass

def draw_letter_o(unit):
    pass

def draw_letter_p(unit):
    pendown()
    left(90)
    forward(unit * 8)      
    right(90)
    forward(unit * 5)      
    right(90)
    forward(unit * 4)     
    right(90)
    forward(unit * 5)      
    backward(unit * 5)
    right(90)
    forward(unit * 4)      
    left(90)
    forward(unit * 5)      
    penup()
    setheading(0)
    goto(pos()[0] + unit * 8, pos()[1])

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