# typeface.py
# By Chris Proctor and Patrick Wick

# 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  segment(grids,unit):
    pendown()
    forward(grids*unit)
    penup()

def diagonal(grids,unit):
    pendown()
    forward(grids*unit*sqrt(2))
    penup()

def no_pen(grids,unit):
    penup()
    forward(grids*unit)
    pendown()

def draw_letter_a(unit):
    pass

def draw_letter_b(unit):
    pass

def draw_letter_c(unit):
    no_pen(3,unit)

    segment(4,unit)
    left(90)
    segment(2,unit)
    left(90)
    segment(2,unit)
    right(45)
    diagonal(2,unit)
    right(90)
    diagonal(2,unit)
    right(45)
    segment(2,unit)
    left(90)
    segment(2,unit)
    left(90)
    segment(4,unit)
    left(45)
    diagonal(2,unit)
    left(45)
    segment(4,unit)
    left(45)
    diagonal(2,unit)

    right(135)
    no_pen(3,unit)
    left(180)

def draw_letter_d(unit):
    no_pen(1,unit)

    # the outline of the D
    segment(5,unit)
    left(45)
    diagonal(1,unit)
    left(45)
    segment(6,unit)
    left(45)
    diagonal(1,unit)
    left(45)
    segment(5,unit)
    left(90)
    segment(8,unit)

    left(90)
    no_pen(2,unit)
    left(90)
    no_pen(2,unit)

    # the inner part of the D
    segment(4,unit)
    right(90)
    segment(1,unit)
    right(45)
    diagonal(1,unit)
    right(45)
    segment(2,unit)
    right(45)
    diagonal(1,unit)
    right(45)
    segment(1,unit)

    no_pen(3,unit)
    left(90)
    no_pen(2,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):
    no_pen(1,unit)
    left(90)
    segment(8,unit)
    right(90)
    segment(2,unit)
    right(90)
    segment(2,unit)
    left(135)
    diagonal(2,unit)
    right(45)
    segment(2,unit)
    right(90)
    segment(1,unit)
    right(45)
    diagonal(3,unit)
    left(90)
    diagonal(3,unit)
    right(45)
    segment(1,unit)
    right(90)
    segment(2,unit)
    right(45)
    diagonal(2,unit)
    left(135)
    segment(2,unit)
    right(90)
    segment(2,unit)

    no_pen(1,unit)
    right(180)

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):
    no_pen(2,unit)

    left(135)
    diagonal(1,unit)
    right(45)
    segment(7,unit)
    right(90)
    segment(2,unit)
    right(90)
    segment(5,unit)
    left(45)
    diagonal(1,unit)
    left(90)
    diagonal(1,unit)
    left(45)
    segment(5,unit)
    right(90)
    segment(2,unit)
    right(90)
    segment(7,unit)
    right(45)
    diagonal(1,unit)
    right(45)
    segment(4,unit)

    no_pen(2,unit)
    right(180)

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