# 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
from math import asin
from math import pi

def draw_eye(unit):
    right(45)
    pendown()
    fillcolor('black')
    begin_fill()
    circle(unit/2, 90)
    circle(unit/12, 90)
    circle(unit/2, 90)
    circle(unit/12, 90)
    end_fill()
    penup()
    left(45)

def draw_ghostyskirt_type_a(unit):
    circle(-unit/4, 180)
    circle(unit/4, 180)
    circle(-unit/4, 180)
    circle(unit/4, 180)
    circle(-unit/4, 180)

def draw_ghostyskirt_type_b(unit):
    circle(-unit/4, 180)
    circle(unit/4, 180)
    circle(-unit/4, 180)
    circle(unit/4, 180)
    circle(-unit/4, 180)
    circle(unit/4, 180)
    circle(-unit/4, 180)

def draw_letter_a(unit):
    penup()
    forward(unit)
    left(90)
    forward(unit/4)
    pendown()
    forward(19*unit/4)
    circle(-3*unit, 180)
    forward(19*unit/4)
    draw_ghostyskirt_type_a(unit)
    forward(2*unit)
    circle(unit/2, 180)
    forward(2*unit)
    draw_ghostyskirt_type_a(unit)
    penup()
    forward(15*unit/4)
    right(90)
    forward(3*unit)
    pendown()
    circle(unit)
    penup()
    circle(unit, 90)
    forward(5*unit/4)
    draw_eye(unit)
    left(90)
    forward(2*unit)
    draw_eye(-unit)


def draw_letter_b(unit):
    penup()
    forward(unit)
    left(90)
    forward(unit/4)
    pendown()
    forward(23*unit/4)
    circle(-2*unit, 90)
    forward(2*unit)
    circle(-2*unit, 180)
    right(180)
    circle(-2*unit, 135)
    left(45)
    forward(2*sqrt(2)*unit/8)
    draw_ghostyskirt_type_b(unit)
    circle(.95*unit/4, 180)
    circle(-.95*unit/4, 180)
    circle(.95*unit/4, 180)
    circle(-.95*unit/4, 180)
    penup()
    forward(4.5*unit)
    right(90)
    forward(3*unit)
    pendown()
    circle(unit)
    right(90)
    penup()
    forward(3.5*unit)
    left(90)
    pendown()
    circle(unit)
    penup()
    left(90)
    forward(5.5*unit)
    right(90)
    forward(unit)
    left(90)
    draw_eye(unit)
    left(90)
    forward(2*unit)
    draw_eye(-unit)


def draw_letter_c(unit):
    pass

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):
    pass

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