# 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 turtle import goto
from math import sqrt
def draw_square(unit):
    for i in range(4):
        forward(unit)
        left(90)
def start(unit):
    penup()
    forward(unit*2)
    left(90)
    forward(unit)
    pendown()
    forward(unit*6)
    right(90)



def draw_letter_a(unit):
    x_pos, y_pos= pos()
    start(unit)
    forward(unit*4)
    right(90)
    forward(unit*6)
    right(90)
    forward(unit)
    right(90)
    for i in range(2):
        forward(unit*2)
        left(90)
    forward(unit*2)
    right(90)
    forward(unit)
    penup()
    right(90)
    forward(unit*3)
    right(90)
    forward(unit)
    pendown()
    draw_square(unit*2)
    teleport(x_pos, y_pos)
    setheading(0)


def draw_letter_b(unit):
    x_pos, y_pos= pos()
    start(unit)
    forward(unit*3)
    right(90)
    forward(unit*2)
    left(90)
    forward(unit)
    right(90)
    forward(unit*4)
    right(90)
    forward(unit*4)
    right(135)
    penup()
    forward(unit*sqrt(2))
    right(45)
    pendown()
    draw_square(unit*2)
    penup()
    left(90)
    forward(unit*3)
    pendown()
    right(90)
    draw_square(unit)
    teleport(x_pos, y_pos)
    setheading(0)



def draw_letter_c(unit):
    x_pos, y_pos= pos()
    start(unit)
    forward(unit*3)
    right(90)
    forward(unit)
    right(90)
    forward(unit*2)
    left(90)
    forward(unit*4)
    left(90)
    forward(unit*3)
    right(90)
    forward(unit)
    right(90)
    forward(unit*4)
    teleport(x_pos, y_pos)
    setheading(0)


def draw_letter_d(unit):
    x_pos, y_pos= pos()
    start(unit)
    forward(unit*4)
    right(90)
    forward(unit*6)
    right(90)
    forward(unit*4)
    penup()
    right(90)
    forward(unit*2)
    right(90)
    forward(unit)
    pendown()
    forward(unit)
    left(90)
    forward(unit*2)
    left(90)
    forward(unit)
    left(90)
    forward(unit*2)
    teleport(x_pos, y_pos)
    setheading(0)


def draw_letter_e(unit):
    x_pos, y_pos= pos()
    start(unit)
    forward(unit*4)
    right(90)
    forward(unit)
    right(90)
    forward(unit*3)
    left(90)
    forward(unit*1.5)
    left(90)
    forward(unit*2)
    right(90)
    forward(unit)
    right(90)
    forward(unit*2)
    left(90)
    forward(unit*1.5)
    left(90)
    forward(unit*3)
    right(90)
    forward(unit)
    right(90)
    forward(unit*4)
    teleport(x_pos, y_pos)
    setheading(0)



def draw_letter_f(unit):
    x_pos, y_pos= pos()
    start(unit)
    forward(unit*4)
    right(90)
    forward(unit)
    right(90)
    forward(unit*3)
    left(90)
    forward(unit*1.5)
    left(90)
    forward(unit*2)
    right(90)
    forward(unit)
    right(90)
    forward(unit*2)
    left(90)
    forward(unit*2.5)
    right(90)
    forward(unit)
    teleport(x_pos, y_pos)
    setheading(0)


def draw_letter_g(unit):
    x_pos, y_pos= pos()
    start(unit)
    forward(unit*3)
    right(90)
    forward(unit)
    right(90)
    forward(unit*2)
    left(90)
    forward(unit*4)
    left(90)
    forward(unit*2)
    left(90)
    forward(unit*2)
    left(90)
    forward(unit)
    right(90)
    forward(unit)
    right(90)
    forward(unit*2)
    right(90)
    forward(unit*4)
    right(90)
    forward(unit*4)
    teleport(x_pos, y_pos)
    setheading(0)




def draw_letter_h(unit):
    x_pos, y_pos= pos()
    start(unit)
    forward(unit)
    right(90)
    forward(unit*2.5)
    left(90)
    forward(unit*2)
    left(90)
    forward(unit*2.5)
    right(90)
    forward(unit)
    right(90)
    forward(unit*6)
    right(90)
    forward(unit)
    right(90)
    forward(unit*2.5)
    left(90)
    forward(unit*2)
    left(90)
    forward(unit*2.5)
    right(90)
    forward(unit)
    teleport(x_pos, y_pos)
    setheading(0)


def draw_letter_i(unit):
    x_pos, y_pos= pos()
    penup()
    forward(unit)
    start(unit)
    forward(unit*2)
    right(90)
    forward(unit*6)
    right(90)
    forward(unit*2)
    teleport(x_pos, y_pos)
    setheading(0)



def draw_letter_j(unit):
    x_pos, y_pos= pos()
    penup()
    forward(unit*2)
    left(90)
    forward(unit)
    pendown()
    forward(unit*3)
    right(90)
    forward(unit*1.5)
    right(90)
    forward(unit*2)
    left(90)
    forward(unit*1.5)
    left(90)
    forward(unit*4)
    left(90)
    forward(unit)
    left(90)
    forward(unit*.5)
    right(90)
    forward(unit)
    right(90)
    forward(unit*1.5)
    right(90)
    forward(unit*3)
    right(90)
    forward(unit*6)
    right(90)
    forward(unit*4)
    teleport(x_pos, y_pos)
    setheading(0)



def draw_letter_k(unit):
    x_pos, y_pos= pos()
    start(unit)
    forward(unit*1.5)
    right(90)
    forward(unit*2.5)
    left(150)
    forward(unit*2.9)
    right(60)
    forward(unit*1)
    right(120)
    forward(unit*3.5)
    left(60)
    forward(unit*3.5)
    right(120)
    forward(unit*1)
    right(60)
    forward(unit*2.9)
    left(150)
    forward(unit*2.5)
    right(90)
    forward(unit*1.5)
    teleport(x_pos, y_pos)
    setheading(0)





def draw_letter_l(unit):
    x_pos, y_pos= pos()
    start(unit)
    forward(unit*2)
    right(90)
    forward(unit*5)
    left(90)
    forward(unit*2)
    right(90)
    forward(unit)
    right(90)
    forward(unit*4)
    teleport(x_pos, y_pos)
    setheading(0)



def draw_letter_m(unit):
    x_pos, y_pos= pos()
    start(unit)
    forward(unit)
    right(65)
    forward(unit*2.4)
    left(130)
    forward(unit*2.4)
    right(65)
    forward(unit)
    right(90)
    forward(unit*6)
    right(90)
    forward(unit)
    right(90)
    forward(unit*3)
    left(135)
    forward(unit*1.4)
    right(90)
    forward(unit*1.4)
    left(135)
    forward(unit*3)
    right(90)
    forward(unit)
    teleport(x_pos, y_pos)
    setheading(0)





def draw_letter_n(unit):
    x_pos, y_pos= pos()
    start(unit)
    forward(unit)
    right(57)
    forward(sqrt((unit*3)**2+(unit*2)**2))
    left(147)
    forward(unit*3)
    right(90)
    forward(unit)
    right(90)
    forward(unit*6)
    right(90)
    forward(unit)
    right(57)
    forward(sqrt((unit*3)**2+(unit*2)**2))
    left(147)
    forward(unit*3)
    right(90)
    forward(unit)
    teleport(x_pos, y_pos)
    setheading(0)




def draw_letter_o(unit):
    x_pos, y_pos= pos()
    start(unit)
    forward(unit*4)
    right(90)
    forward(unit*6)
    right(90)
    forward(unit*4)
    penup()
    right(90)
    forward(unit*2)
    right(90)
    forward(unit)
    pendown()
    draw_square(unit*2)
    teleport(x_pos, y_pos)
    setheading(0)


def draw_letter_p(unit):
    x_pos, y_pos= pos()
    start(unit)
    forward(unit*4)
    right(90)
    forward(unit*4)
    right(90)
    forward(unit*2)
    left(90)
    forward(unit*2)
    right(90)
    forward(unit*2)
    penup()
    right(108)
    forward(sqrt((unit*3)**2+(unit*1)**2))
    right(72)
    forward(unit)
    pendown()
    forward(unit)
    left(90)
    forward(unit*2)
    left(90)
    forward(unit)
    left(90)
    forward(unit*2)
    teleport(x_pos, y_pos)
    setheading(0)



def draw_letter_q(unit):
    x_pos, y_pos= pos()
    penup()
    forward(unit*2)
    left(90)
    forward(unit*2)
    pendown()
    forward(unit*5)
    right(90)
    forward(unit*4)
    right(90)
    forward(unit*5)
    right(90)
    forward(unit)
    left(135)
    forward(unit*1.5)
    right(135)
    forward(unit)
    right(45)
    forward(unit*1.5)
    left(45)
    forward(unit*2)
    penup()
    right(90)
    forward(unit*2)
    right(90)
    forward(unit)
    pendown()
    for i in range(2):
        forward(unit*2)
        left(90)
        forward(unit)
        left(90)
    teleport(x_pos, y_pos)
    setheading(0)


    

def draw_letter_r(unit):
    x_pos, y_pos= pos()
    start(unit)
    forward(unit*4)
    right(90)
    forward(unit*4)
    right(90)
    forward(unit)
    left(116.5)
    forward(unit*sqrt(5))
    right(116.5)
    forward(unit)
    right(63.5)
    forward(unit*sqrt(5))
    left(153.5)
    forward(unit*2)
    right(90)
    forward(unit*2)
    penup()
    right(90)
    forward(unit*3)
    right(90)
    forward(unit*2)
    pendown()
    forward(unit)
    left(90)
    forward(unit*2)
    left(90)
    forward(unit)
    left(90)
    forward(unit*2)
    teleport(x_pos, y_pos)
    setheading(0)



def draw_letter_s(unit):
    x_pos, y_pos= pos()
    penup()
    forward(unit*2)
    left(90)
    forward(unit)
    pendown()
    forward(unit)
    right(90)
    forward(unit*2)
    left(90)
    forward(unit*1.5)
    left(90)
    forward(unit*2)
    right(90)
    forward(unit*3.5)
    right(90)
    forward(unit*4)
    right(90)
    forward(unit)
    right(90)
    forward(unit*2)
    left(90)
    forward(unit*1.5)
    left(90)
    forward(unit*2)
    right(90)
    forward(unit*3.5)
    right(90)
    forward(unit*4)
    teleport(x_pos, y_pos)
    setheading(0)


def draw_letter_t(unit):
    x_pos, y_pos= pos()
    penup()
    forward(unit*3)
    left(90)
    forward(unit)
    pendown()
    forward(unit*5)
    left(90)
    forward(unit)
    right(90)
    forward(unit)
    right(90)
    forward(unit*4)
    right(90)
    forward(unit)
    right(90)
    forward(unit)
    left(90)
    forward(unit*5)
    right(90)
    forward(unit*2)
    teleport(x_pos, y_pos)
    setheading(0)


def draw_letter_u(unit):
    x_pos, y_pos= pos()
    start(unit)
    forward(unit*1.5)
    right(90)
    forward(unit*5)
    left(90)
    forward(unit*1)
    left(90)
    forward(unit*5)
    right(90)
    forward(unit*1.5)
    right(90)
    forward(unit*6)
    right(90)
    forward(unit*4)
    teleport(x_pos, y_pos)
    setheading(0)


def draw_letter_v(unit):
    x_pos, y_pos= pos()
    penup()
    forward(unit*3)
    left(90)
    forward(unit)
    pendown()
    left(10)
    forward(unit*sqrt(37))
    right(100)
    forward(unit*1.5)
    right(80)
    forward(unit*3.2)
    left(160)
    forward(unit*3.2)
    right(80)
    forward(unit*1.5)
    right(100)
    forward(unit*sqrt(37))
    right(80)
    forward(unit*2)
    teleport(x_pos, y_pos)
    setheading(0)


def draw_letter_w(unit):
    x_pos, y_pos= pos()
    start(unit)
    forward(unit*1.5)
    right(90)
    forward(unit*4)
    left(153)
    forward(unit*sqrt(1.25))
    right(126)
    forward(unit*sqrt(1.25))
    left(153)
    forward(unit*4)
    right(90)
    forward(unit*1.5)
    right(90)
    forward(unit*6)
    right(90)
    forward(unit*1.5)
    right(63)
    forward(unit*sqrt(1.25))
    left(126)
    forward(unit*sqrt(1.25))
    right(63)
    forward(unit*1.5)
    teleport(x_pos, y_pos)
    setheading(0)


def draw_letter_x(unit):
    x_pos, y_pos= pos()
    penup()
    forward(unit*2)
    left(90)
    forward(unit)
    pendown()
    forward(unit*2)
    right(56)
    forward(unit*sqrt((1.5)**2+1))
    left(112)
    forward(unit*sqrt((1.5)**2+1))
    right(56)
    forward(unit*2)
    right(90)
    forward(unit*1.5)
    right(63)
    forward(unit*sqrt((0.5)**2+1))
    left(126)
    forward(unit*sqrt((0.5)**2+1))
    right(63)
    forward(unit*1.5)
    right(90)
    forward(unit*2)
    right(56)
    forward(unit*sqrt((1.5)**2+1))
    left(112)
    forward(unit*sqrt((1.5)**2+1))
    right(56)
    forward(unit*2)
    right(90)
    forward(unit*1.5)
    right(63)
    forward(unit*sqrt((0.5)**2+1))
    left(126)
    forward(unit*sqrt((0.5)**2+1))
    right(63)
    forward(unit*1.5)
    teleport(x_pos, y_pos)
    setheading(0)




def draw_letter_y(unit):
    x_pos, y_pos= pos()
    penup()
    forward(unit*2.5)
    left(90)
    forward(unit)
    pendown()
    forward(unit*.5)
    right(90)
    forward(unit*1.5)
    left(90)
    forward(unit*2.5)
    left(90)
    forward(unit*2)
    right(90)
    forward(unit*3)
    right(90)
    forward(unit*1.5)
    right(90)
    forward(unit*2)
    left(90)
    forward(unit*.5)
    left(90)
    forward(unit*2)
    right(90)
    forward(unit*2)
    right(90)
    forward(unit*6)
    right(90)
    forward(unit*3.5)
    teleport(x_pos, y_pos)
    setheading(0)




def draw_letter_z(unit):
    x_pos, y_pos= pos()
    penup()
    forward(unit*2)
    left(90)
    forward(unit)
    pendown()
    forward(unit*2)
    right(45)
    forward(unit*sqrt(8))
    left(135)
    forward(unit*2)
    right(90)
    forward(unit*2)
    right(90)
    forward(unit*4)
    right(90)
    forward(unit*2)
    right(45)
    forward(unit*sqrt(8))
    left(135)
    forward(unit*2)
    right(90)
    forward(unit*2)
    right(90)
    forward(unit*4)
    teleport(x_pos, y_pos)
    setheading(0)