# typeface.py
# By Chris Proctor and _____Grace____

# 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):
    initial_position = pos()
    initial_heading = heading()
    left(60)
    forward(8 * unit)

    right(120)
    forward(8 * unit)

    backward(4 * unit)
    right(120)
    forward(4 * unit)
    
    penup()
    setpos(initial_position)  # Return to original position
    setheading(initial_heading)  # Return to original heading
    pendown()

def draw_letter_b(unit):
    initial_position = pos()
    initial_heading = heading() 
    speed(0)
    circle(2 * unit, 180)
    left(180)
    circle(2 * unit, 180)
    left(90)
    forward(8 * unit)

    penup()
    setpos(initial_position)  # Return to original position
    setheading(initial_heading)  # Return to original heading
    pendown()

def draw_letter_c(unit):
    initial_position = pos()
    initial_heading = heading()
    speed(0)
    penup()
    forward(4 * unit)
    left(90)
    forward(8 * unit)
    pendown()
    left(90)
    circle(4 * unit, 180)

    penup()
    right(90)
    forward(2 * unit)
    pendown()

    penup()
    setpos(initial_position) 
    setheading(initial_heading) 
    pendown()
    
def draw_letter_d(unit):
    pass

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):
    initial_position = pos()
    initial_heading = heading() 
    penup()
    forward(4 * unit)
    left(90)
    pendown()
    forward(5 * unit)
    penup()
    forward(1 * unit)
    pendown()
    forward(1 * unit)

    penup()
    setpos(initial_position)  
    setheading(initial_heading)  
    pendown()


def draw_letter_j(unit):
    pass

def draw_letter_k(unit):
    pass

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(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