# 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 fly(distance):
    penup()
    forward(distance)
    pendown()

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):
    pass

def draw_letter_f(unit):
    pass

def draw_letter_g(unit):
    pass

def draw_letter_h(size):
    fly(size)
    left(90)
    forward(size*7)
    right(90)
    forward(size*1.5)
    right(90)
    forward(size*2.7)
    left(90)
    forward(size*3)
    left(90)
    forward(size*2.7)
    right(90)
    forward(size*1.5)
    right(90)
    forward(size*7)
    right(90)
    forward(size*1.5)
    right(90)    
    forward(size*2.7)
    left(90)
    forward(size*3)
    left(90)
    forward(size*2.7)
    right(90)
    forward(size*1.5)
    fly(size*1)
    right(180)



def draw_letter_i(size):
    fly(size)
    left(90)
    forward(size*1.5)
    right(90)
    forward(size*2.2)
    left(90)
    forward(size*4)
    left(90)
    forward(size*2.2)
    right(90)
    forward(size*1.5)
    right(90)
    forward(size*6)
    right(90)
    forward(size*1.5)
    right(90)
    forward(size*2.2)
    left(90)
    forward(size*4)
    left(90)
    forward(size*2.2)
    right(90)
    forward(size*1.5)
    right(90)
    forward(size*6)
    fly(size)
    right(180)



def draw_letter_j(unit):
    pass

def draw_letter_k(unit):
    pass

def draw_letter_l(size):
    fly(size*1.5)
    left(90)
    forward(size*7)
    right(90)
    forward(size*1.5)
    right(90)
    forward(size*5.5)
    left(90)
    forward(size*3)
    right(90)
    forward(size*1.5)
    right(90)
    forward(size*4.5)
    fly(size*1.5)
    right(180)
    
    
def draw_letter_m(size):
    fly(size)
    left(90)
    forward(size*7)
    right(90)
    forward(size*1.5)
    right(60)
    forward(size*(sqrt(2))) 
    forward(size*(sqrt(2)))
    right(240)
    forward(size*(sqrt(2)))
    forward(size*(sqrt(2)))
    right(60)
    forward(size*1.7)
    right(90)
    forward(size*7)
    right(90)
    forward(size*1.5)
    right(90)
    forward(size*4)
    right(225)
    forward(size*(sqrt(5))) 
    right(90)
    forward(size*(sqrt(5)))
    left(135)
    forward(size*4)
    right(90)
    forward(size*1.3)
    fly(size)
    right(180)




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