# 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

pensize(5)

def draw_letter_a(unit):

    penup()
    forward(unit*1)
    pendown()

    # 1st & 2nd stem sections of letter
    forward(unit*2)
    left(90)
    forward(unit*3)
    right(90)
    forward(unit*2)
    right(90)
    forward(unit*3)
    left(90)
    forward(unit*2)
    left(90)
    forward(unit*6)

    # 45 degree top section of letter
    left(45)
    forward(unit * 2 * sqrt(2))
    left(45)
    forward(unit*2)
    left(45)
    forward(unit * 2 * sqrt(2))
    left(45)

    #remander of left stem section of letter
    forward(unit*6)
    left(90)

    #interior cross bar section
    penup()
    left(90)
    forward(unit*4)
    right(90)
    forward(unit*2)
    pendown()
    forward(unit*2)
    left(90)
    forward(unit*1)
    left(45)
    forward(unit * 1 * sqrt(2))
    left(90)
    forward(unit * 1 * sqrt(2))
    left(45)
    forward(unit*1)

    #penup moving back to initial position
    penup()
    right(90)
    forward(unit*2)
    left(90)
    forward(unit*4)

    # Start position
    left(90)

def draw_letter_b(unit):
    pass

def draw_letter_c(unit):
    pass

def draw_letter_d(unit):
    penup()
    forward(unit*1)

    "Draw base and right side of D"
    pendown()
    forward(unit*4)
    left(45)
    forward(unit * 2 * sqrt(2))
    left(45)
    forward(unit*4)
    left(45)
    forward(unit * 2 * sqrt(2))

    "Top and left side of D"
    left(45)
    forward(unit*4)
    left(90)
    forward(unit*8)

    "Inner section of D"
    penup()
    left(180)
    forward(unit*2)
    right(90)
    forward(unit*2)
    pendown()
    forward(unit*1)
    left(45)
    forward(unit * 1 * sqrt(2))
    left(45)
    forward(unit*2)
    left(45)
    forward(unit * 1 * sqrt(2))
    left(45)
    forward(unit*1)
    left(90)
    forward(unit*4)

    "Back to beginning"
    penup()
    right(90)
    forward(unit*3)
    left(90)
    forward(unit*2)
    left(90)

def draw_letter_e(unit):

    penup()
    forward(unit*1)
    pendown()

    #Base leg section
    forward(unit*6)
    left(90)
    forward(unit*2)
    left(90)
    forward(unit*4)
    right(90)

    # middle section
    forward(unit*1)
    right(90)
    forward(unit*4)
    left(90)
    forward(unit*2)
    left(90)
    forward(unit*4)
    right(90)

    # arm (top) section
    forward(unit*1)
    right(90)
    forward(unit*4)
    left(90)
    forward(unit*2)
    left(90)
    forward(unit*6)

    # completing stem of letter
    left(90)
    forward(unit*8)

    # Start position
    left(90)


def draw_letter_f(unit):
    pass

def draw_letter_g(unit):
    pass

def draw_letter_h(unit):
    pass

def draw_letter_i(unit):

    # penup to move into position to draw
    penup()
    forward(unit*3)
    pendown()

    #Stem of letter "I"
    forward(unit*2)
    left(90)
    forward(unit*8)
    left(90)
    forward(unit*2)
    left(90)
    forward(unit*8)

    #Start position
    left(90)

def draw_letter_j(unit):
    pass

def draw_letter_k(unit):
    pass

def draw_letter_l(unit):
    pass

def draw_letter_m(unit):
    penup()
    forward(unit*1)

    "beginning stem section and bottom section of N"
    pendown()
    forward(unit*2)
    left(90)
    forward(unit*4)
    right(135)
    forward(unit * 1 * sqrt(2))
    left(90)
    forward(unit * 1 * sqrt(2))
    right(45)
    right(90)
    forward(unit*4)
    left(90)
    forward(unit*2)

    "Right stem section and top of N"
    left(90)
    forward(unit*8)
    left(90)
    forward(unit*2)
    left(45)
    forward(unit * 1 * sqrt(2))
    right(90)  
    forward(unit * 1 * sqrt(2))
    left(45)
    forward(unit*2)

    "Left stem of N"
    left(90)
    forward(unit*8)

    "Back to beginning"
    penup()
    right(90)
    forward(unit*1)
    right(180)


def draw_letter_n(unit):

    penup()
    forward(unit*1)

    "1st stem section and angle of N"
    pendown()
    forward(unit*2)
    left(90)
    forward(unit*3)
    right(135)
    forward(unit * 3 * sqrt(2))
    left(45)
    forward(unit*1)

    "Right and top of N"
    left(90)
    forward(unit*8)
    left(90)
    forward(unit*2)
    left(90)
    forward(unit*3)
    right(135)
    forward(unit * 3 * sqrt(2))
    left(45)
    forward(unit*1)

    "Left side of stem N"
    left(90)
    forward(unit*8)

    "Back to beginning"
    penup()
    right(90)
    forward(unit*1)
    right(180)

def draw_letter_o(unit):
    penup()
    forward(unit*3)

    "Draw base of O"
    pendown()
    forward(unit*2)

    "Right side and top of O"
    left(45)
    forward(unit * 2 * sqrt(2))
    left(45)
    forward(unit*4)
    left(45)
    forward(unit * 2 * sqrt(2))
    left(45)
    forward(unit*2)

    "Left side of O"
    left(45)
    forward(unit * 2 * sqrt(2))
    left(45)
    forward(unit*4)
    left(45)
    forward(unit * 2 * sqrt(2))

    "Inner section of O"
    penup()
    left(135)
    forward(unit*3)
    right(90)
    pendown()
    forward(unit*2)
    left(90)
    forward(unit*2)
    left(90)
    forward(unit*2)
    left(90)
    forward(unit*2)

    "Back to start"
    penup()
    right(90)
    forward(unit*3)
    left(90)
    forward(unit*3)
    left(90)

def draw_letter_p(unit):
    penup()
    forward(unit*1)
    pendown()

    "Draw bottom and right side of stem"
    forward(unit*2)
    left(90)
    forward(unit*2)

    "Right and top section of P"
    right(90)
    forward(unit*2)
    left(45)
    forward(unit * 2 * sqrt(2))
    left(45)
    forward(unit*2)
    left(45)
    forward(unit * 2 * sqrt(2))
    left(45)
    forward(unit*4)

    "Left section of stem to bottom"
    left(90)
    forward(unit*8)

    "Inner section of P"
    penup()
    left(180)
    forward(unit*4)
    right(90)

    forward(unit*2)
    pendown()
    forward(unit*2)
    left(90)
    forward(unit*2)
    left(90)
    forward(unit*2)
    left(90)
    forward(unit*2)

    "Pen Back to the beginning"
    penup()
    right(90)
    forward(unit*3)
    left(90)
    forward(unit*4)
    left(90)

def draw_letter_q(unit):
    pass

def draw_letter_r(unit):
    penup()
    forward(unit*1)
    pendown()

    "1st & 2nd stem sections of R"
    forward(unit*2)
    left(90)
    forward(unit*3)
    right(90)
    forward(unit*2)
    right(90)
    forward(unit*3)
    left(90)
    forward(unit*2)
    left(90)
    forward(unit*3)

    "Angled right sections of R"
    left(45)
    forward(unit * 1 * sqrt(2))
    right(90)
    forward(unit * 1 * sqrt(2))
    left(45)
    forward(unit*2)
    left(45)
    forward(unit * 1 * sqrt(2))
    left(45)

    "Top and left stem of R"
    forward(unit*5)
    left(90)
    forward(unit*8)

    "Inner section of R"
    penup()
    left(180)
    forward(unit*4)
    right(90)
    forward(unit*2)
    pendown()
    forward(unit*2)
    left(90)
    forward(unit*2)
    left(90)
    forward(unit*2)
    left(90)
    forward(unit*2)

    "Back to beginning"
    penup()
    right(90)
    forward(unit*3)
    left(90)
    forward(unit*4)
    left(90)

def draw_letter_s(unit):
    pass

def draw_letter_t(unit):
    
    penup()
    forward(unit*3)
    pendown()

    # right side of stem section
    forward(unit*2)
    left(90)
    forward(unit*6)

    # Arm (top) section
    right(90)
    forward(unit*2)
    left(90)
    forward(unit*2)
    left(90)
    forward(unit*6)
    left(90)
    forward(unit*2)
    left(90)
    forward(unit*2)
   
    #left side of stem, moving down to start
    right(90)
    forward(unit*6)
    
    # Start position
    left(90)




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