# typeface.py
# By Chris Proctor and Stacy S

# 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_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_master_ghostyskirt(unit, length):
    for width in range(length):
        circle(-unit/4, 180)
        circle(unit/4, 180)
    circle(-unit/4, 180)

def draw_letter_a(unit):
    width(1)
    penup() #(0,0)
    forward(unit) #(1,0)
    left(90)
    forward(unit/4) #(1,1/4)
    pendown()
    forward(19*unit/4) #(1,5)
    circle(-3*unit, 180) #(7,5)
    forward(19*unit/4) #(7,1/4)
    draw_master_ghostyskirt(unit,2) #(9/2,1/4)
    forward(2*unit) #(9/2,9/4)
    circle(unit/2, 180) #(7/2,9/4)
    forward(2*unit) #(7/2,1/4)
    draw_master_ghostyskirt(unit,2) #(1,1/4)
    penup()
    forward(15*unit/4) #(1,4)
    right(90)
    forward(3*unit) #(4,4)
    pendown()
    circle(unit) #(4,4)
    penup()
    circle(unit, 90) #(5,5)
    forward(5*unit/4) #(5,25/4)
    draw_eye(unit)
    left(90)
    forward(2*unit) #(3,25/4)
    draw_eye(-unit)
    penup()
    forward(3*unit)
    left(90)
    forward(25*unit/4)
    left(90)

def draw_letter_b(unit):
    width(1)
    penup() #(0,0)
    forward(unit) #(1,0)
    left(90)
    forward(3*unit/4) #(1,1/4)
    pendown()
    forward(21*unit/4) #(1,6)
    circle(-2*unit, 90) #(3,8)
    forward(2*unit) #(5,8)
    circle(-2*unit, 180) #(5,4)
    right(180)
    circle(-2*unit, 150) #(6,2-sqrt3)
    left(60)
    forward((((7-4*sqrt(3)))/4)*unit) #(6,1/4)
    draw_master_ghostyskirt(unit,4) #(3/2,1/4)
    circle(unit/4, 90)
    circle(-unit/4, 90) #(1,3/4)
    penup()
    forward(17*unit/4) #(1,5)
    right(90)
    forward(3*unit) #(4,5)
    pendown()
    circle(unit) #(4,5)
    right(90)
    penup()
    forward(3.5*unit) #(4,3/2)
    left(90)
    pendown()
    circle(unit) #(4,3/2)
    penup()
    left(90)
    forward(11*unit/2) #(4,7)
    right(90)
    forward(unit) #(5,7)
    left(90)
    draw_eye(unit) #(5,7)
    left(90)
    forward(2*unit) #(3,7)
    draw_eye(-unit) #(3,7)
    forward(3*unit)
    left(90)
    forward(7*unit)
    left(90)

def draw_letter_c(unit):
    width(1)
    penup() #(0,0)
    forward(unit) #(1,0)
    left(90)
    forward(1*unit) #(1,1)
    pendown()
    forward(4*unit) #(1,5)
    circle(-3*unit, 90)
    forward(2*unit)
    circle(-unit, 180)
    forward(2*unit)
    circle(unit,90)
    forward(7*unit/4)
    circle(unit, 90)
    forward(2*unit)
    circle(-unit, 180)
    left(90)
    draw_master_ghostyskirt(unit,4)
    circle(unit/4, 90)
    circle(-unit/4, 90)
    forward(unit/4) #(1,1)
    penup()
    forward(5.5*unit)
    right(90)
    forward(3*unit)
    left(90)
    draw_eye(unit)
    left(90)
    forward(4*unit)
    left(90)
    forward(6.5*unit)
    left(90)

def draw_letter_d(unit):
    width(1)
    penup()
    forward(unit)
    left(90)
    forward(unit)
    pendown()
    forward(6*unit)
    circle(-unit, 90)
    forward(3*unit)
    circle(-2*unit, 90)
    forward(3.75*unit)
    circle(-2*unit, 90)
    left(90)
    draw_master_ghostyskirt(unit, 3)
    circle(unit/4, 90)
    circle(-unit/4, 90)
    forward(unit/4)
    penup()
    forward(2.5*unit)
    right(90)
    forward(2*unit)
    right(90)
    pendown()
    circle(unit, 180)
    forward(unit)
    circle(unit, 180)
    forward(unit)
    penup()
    right(180)
    forward(2*unit)
    draw_eye(unit)
    right(90)
    forward(2*unit)
    left(90)
    draw_eye(unit)
    left(90)
    forward(5*unit)
    left(90)
    forward(5.5*unit)
    left(90)

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