# file: problemset5.py
#
# author: Bob Muller
# date: October 23, 2007
#
# This file contains a few simple python functions that use the
# turtle graphics module to solve some simple problems.
 
import turtle

# This is simply a setup routine that calls turtle.setup
#
def setup(w, h):
	turtle.setup(width=w, height=h)
	turtle.degrees()
	turtle.color(.25, .5, .5)
	turtle.width(15)

# rightTriangle is problem 5.1.
#
def rightTriangle(x, y, width, height):
	turtle.up()
	turtle.goto(x, y)
	turtle.down()

	turtle.forward(width)
	turtle.backward(width)
	turtle.left(90)
	turtle.forward(height)
	turtle.goto(x+width, y)

# rectangle is a simple utility routine that draws
# a rectangle at Cartesian coordinates (x,y).
#
def rectangle(x, y, width, height):

	turtle.up()
	turtle.goto(x, y)
	turtle.down()
	turtle.goto(x + width, y)
	turtle.goto(x + width, y + height)
	turtle.goto(x, y + height)
	turtle.goto(x, y)

# cube is problem 5.2. NB that it is a little funky
# in the way it treats depth.
#
def cube(x, y, width, height, depth):
	rectangle(x, y, width, height)
	rectangle(x+depth, y+depth, width, height)
	turtle.goto(x, y)
	turtle.goto(x, y+height)
	turtle.goto(x+depth, y+height+depth)
	turtle.goto(x+depth+width, y+height+depth)
	turtle.goto(x+width, y+height)
	turtle.goto(x+width, y)
	turtle.goto(x+width+depth, y+depth)
		
# starOfDavid is problem 5.3.
#
def startOfDavid(x, y, side):
	turtle.up()
	turtle.goto(x,y)
	turtle.down()

	turtle.forward(side)
	turtle.right(120)
	turtle.forward(side)
	turtle.right(120)
	turtle.forward(side)

	turtle.up()
	turtle.goto(x + side / 2, y + side / 4.0)
	turtle.down()

	turtle.backward(side)
	turtle.forward(side)
	turtle.left(120)
	print turtle.heading()
	turtle.forward(side)
	turtle.right(240)
	turtle.forward(side)