# typeface.py
# By Chris Proctor and Hope Wright

# 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 lift_and_move(units_moved, unit):
   
    penup()
    forward(units_moved*unit)
    pendown()

def straight_n_turn(units_moved, direction, degree, unit):
  
    for i in range(units_moved):    
        forward(unit)
    if direction == "r":
        right(degree)
    else:
        left(degree)

def diagonal_n_turn(units_moved, direction, degree, unit):
    for i in range(units_moved):
        forward((unit*(sqrt(2))))
    if direction == "r":
        right(degree)
    else:
        left(degree)


def draw_letter_a(unit):
    lift_and_move(1, unit)
    straight_n_turn(2, "l", 90, unit)
    straight_n_turn(3, "r", 90, unit)
    straight_n_turn(2, "r", 90, unit)
    straight_n_turn(3, "l", 90, unit)
    straight_n_turn(2, "l", 90, unit)
    straight_n_turn(6, "l", 45, unit)
    diagonal_n_turn(2, "l", 45, unit)
    straight_n_turn(2, "l", 90, unit)
    lift_and_move(3, unit)
    straight_n_turn(1, "l", 90, unit)
    straight_n_turn(2, "l", 90, unit)
    straight_n_turn(1, "l", 45, unit)
    diagonal_n_turn(1, "l", 90, unit)
    diagonal_n_turn(1, "r", 135, unit)
    lift_and_move(3, unit)
    left(135)
    diagonal_n_turn(2, "l", 45, unit)
    straight_n_turn(6, "r", 90, unit)
    lift_and_move(1, unit)
    right(180)


def draw_letter_b(unit):
    lift_and_move(1, unit)
    straight_n_turn(5, "l", 90, unit)
    straight_n_turn(3, "l", 45, unit)
    diagonal_n_turn(1, "r", 90, unit)
    diagonal_n_turn(1, "l", 45, unit)
    straight_n_turn(3, "l", 90, unit)
    straight_n_turn(5, "l", 90, unit)
    straight_n_turn(8, "l", 90, unit)
    straight_n_turn(3, "l", 90, unit)
    lift_and_move(1, unit)
    forward(unit*2)
    lift_and_move(2, unit)
    straight_n_turn(2, "l", 90, unit)
    straight_n_turn(1, "l", 90, unit)
    straight_n_turn(2, "l", 90, unit)
    straight_n_turn(1, "r", 90, unit)
    lift_and_move(2, unit)
    right(90)
    straight_n_turn(1, "l", 90, unit)
    straight_n_turn(2, "l", 90, unit)
    straight_n_turn(1, "r", 90, unit)
    lift_and_move(1, unit)
    right(90)
    lift_and_move(4, unit)
    right(180)


def draw_letter_c(unit):
    lift_and_move(3, unit)
    straight_n_turn(4, "l", 45, unit)
    diagonal_n_turn(1, "l", 90, unit)
    diagonal_n_turn(1, "l", 45, unit)
    straight_n_turn(3, "r", 45, unit)
    diagonal_n_turn(1, "r", 45, unit)
    straight_n_turn(2, "r", 45, unit)
    diagonal_n_turn(1, "r", 45, unit)
    straight_n_turn(3, "l", 45, unit)
    diagonal_n_turn(1, "l", 90, unit)
    diagonal_n_turn(1, "l", 45, unit)
    straight_n_turn(4, "l", 45, unit)
    diagonal_n_turn(2, "l", 45, unit)
    straight_n_turn(4, "l", 45, unit)
    diagonal_n_turn(2, "l", 45, unit)
    right(180)
    lift_and_move(3, unit)
    right (180)


def draw_letter_d(unit):
    lift_and_move(1, unit)
    straight_n_turn(4, "l", 45, unit)
    diagonal_n_turn(2, "l", 45, unit)
    straight_n_turn(4, "l", 45, unit)
    diagonal_n_turn(2, "l", 135, unit)

    lift_and_move(2, unit)
    straight_n_turn(4, "r", 90, unit)
   # diagonal_n_turn(1, "r", 45, unit)
    straight_n_turn(2, "r", 90, unit)
    straight_n_turn(4, "r", 90, unit)
    straight_n_turn(2, "l", 90, unit)
   # diagonal_n_turn(1, "l", 135, unit)
    lift_and_move(2, unit)
    left(90)
    straight_n_turn(4, "l", 90, unit)
    straight_n_turn(8, "r", 90, unit)
    lift_and_move(1, unit)
    right(180)

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