Turtle Graphics are incompatible with gmpy

Mensanator mensanator at aol.com
Wed Aug 5 18:31:17 EDT 2009


I fixed this to produce the actual image I'm looking
for instead of that stupid black square. All I did was
use up() & dowm() in place of penup(), pendown() and
replace dot(2) with forward(1).

I'll be posting a followup report later.


import gmpy

##   (even) hi----|
##                |
##                lo (odd)
## or
##
##   (even) lo
##           |
##           |
##           ----hi (odd)
##
##
##
##

import turtle

tooter = turtle.Turtle()

#tooter.hideturtle()
tooter.speed('fast')
#turtle.update()
tooter.tracer(False)
#tooter.penup()
tooter.up()
tooter.color('black')

s = ['1','0']
while len(s[0])<10000:
    s = [''.join(s), s[0]]


origin = [0,0]
if s[0] == '0':
  tooter.goto(origin)
  #tooter.dot(1)
  tooter.down()
  tooter.forward(1)
  tooter.up()
if s[1] == '0':
  tooter.goto([1,0])
  #tooter.dot(1)
  tooter.down()
  tooter.forward(1)
  tooter.up()

print len(s[0])

for i,j in enumerate(s[0]):
  the_coord=[]
  cur_root = gmpy.sqrt(i)
  lo__root = gmpy.sqrt(i)**2
  hi__root = (gmpy.sqrt(i)+1)**2

  if hi__root%2==0:
    side = 'northeast'
  else:
    side = 'southwest'

  elbow = (hi__root - lo__root)/2 + lo__root + 1

  if i>= elbow:
    side_len = i - elbow
    elbow_plus = True
  else:
    side_len = elbow - i
    elbow_plus = False

  if side == 'northeast':
    elbow_offset = [(gmpy.sqrt(elbow)-1)/2 +1,-((gmpy.sqrt(elbow)-1)/2
+1)]
  else:
    elbow_offset = [-((gmpy.sqrt(elbow)-1)/2 +1),((gmpy.sqrt(elbow)-1)/
2 +1)]

  elbow_coord = [origin[0]+elbow_offset[0],origin[1]+elbow_offset[1]]

  if i != hi__root and i != lo__root:
    if i == elbow:
      the_coord = elbow_coord
    else:
      if elbow_plus:
        if side == 'northeast':
          the_coord = [elbow_coord[0]-side_len,elbow_coord[1]]
        else:
          the_coord = [elbow_coord[0]+side_len,elbow_coord[1]]
      else:
        if side == 'northeast':
          the_coord = [elbow_coord[0],elbow_coord[1]+side_len]
        else:
          the_coord = [elbow_coord[0],elbow_coord[1]-side_len]
  else:
    if i % 2 == 0:  # even square
      n = gmpy.sqrt(i)/2 - 1
      the_coord = [-n, -n-1]
    else:
      n = (gmpy.sqrt(i)-1)/2 - 1
      the_coord = [1+n, 1+n]
  if j == '0':
    tooter.goto(the_coord)
    #tooter.dot(2)
    tooter.down()
    tooter.forward(1)
    tooter.up()
print 'done'

#turtle.update()
turtle.done()
print 'done'



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