from turtle import *
import random

def doSpiral(p, lens):
    for n in lens:
        p.left(90)
        p.forward(n)

def moreFib():
    fib.append(fib[-2] + fib[-1])

def ds(p, ds, a):
    for d in ds:
        p.left(a)
        p.forward(d)


def home(p):
    p.up()
    p.goto(400,-400)
    p.down()


def pr(x,n=10):
    return map(lambda y: pow(x,y), range(n))

def spr(x,s,n=10):
    return map(lambda q: q*s, pr(x,n))

def jump(p, x=0, y=0):
    p.up()
    p.goto(x,y)
    p.down()


def fskip(p, d):
    p.forward(d/3)
    p.up()
    p.forward(d/3)
    p.down()
    p.forward(d/3)


def dsk(p, ds, a):
    for d in ds:
        p.left(a)
        fskip(p, d)


def sdkf(p, ds, a, fwd):
    for d in ds:
        p.left(a)
        fwd(p, d)


def tskip(p, d):
    p.forward(d/10)
    p.up()
    p.forward(8*d/10)
    p.down()
    p.forward(d/10)


def turnto(turtle, angle): turtle._angle = angle

def together(fn):
    for p in pens:
        fn(p)

def fd(dist):
    return lambda x: x.forward(dist)
def lt(ang): return lambda p: p.left(ang)
def hm(): return lambda p: p.goto(0,0)
def randomHeading(): return lambda p: turnto(p,random.random()*360)
def tmap(fn): map(fn, pens)
def u(): return lambda p: p.up()
def d(): return lambda p: p.down()

def distance(t1,t2):
    return reduce(hypot, map(lambda x,y: x-y, t1._position, t2._position))


def nearest(p, ignore=30):
  n = pens[0]
  if p == pens[0]:
      n = pens[1]
  d = distance(p, n)
  for c in pens[1:]:
    if c != p:
      cd = distance(p,c)
      if cd < d and cd > ignore:
        n = c
        d = cd
  return n


def printDistances():
   for i in range(len(pens)):
     print i, ": ",
     for j in range(i):
       print "%3i" % round(distance(pens[i],pens[j])),
     print


def findClosestTo(ti):
   def findClosestTo1(res, ci):
     if ci != ti and distance(pens[ti],pens[ci]) < distance(pens[ti],pens[res]):
       res = ci
     return res
   return reduce(findClosestTo1, range(len(pens)), 0)


def date(): os.system("date")

def setUp():
"Call this function to set up a window, a canvas, and ten new turtles."
    global turtleRoot
    global turtleCanvas

    turtleRoot = Tkinter.Tk()
    turtleCanvas = Tkinter.Canvas(turtleRoot, background="blue")
    turtleCanvas.pack(expand=1, fill="both")

    global pens
    for i in range(10):
        pens.append(RawPen(turtleCanvas))
    turtleNames = ["Molly", "Monica", "Charlie", "Taneesha", "Amy", "Kate", "Brendan", "Liam", "Joe", "George"]
    for i in range(len(pens)):
        pens[i].name = "%s (%d)" % (turtleNames[i], i)

def angleToward(pos, targetPos):
    v = map(lambda x,y: x - y, targetPos, pos)
    return atan2(-v[1], v[0]) * 180 / pi

def turnToward(p, p2):
    turnto(p, angleToward(p._position, p2._position))

def goToward(p, p2, d=10):
    turnToward(p, p2)
    p.forward(d)

def randomPos(xscale, yscale=-1, xoffset=0, yoffset=0):
    if yscale==-1: yscale = xscale
    return lambda p: jump(p,random.random()*xscale-xoffset,random.random()*yscale-yoffset)

def c(color):
    return lambda p: p.color(color)

def scatter(p):