I hadn't noticed this before, but the overhaul of Turtle Graphics
dating
back to 2.6 has been broken as far as gmpy is concerned.
I hadn't noticed because I usually have tracing turned off (tracing
off
takes 3-4 seconds, tracing on takes 6-7 minutes).
In 3.1, tracing is now a screen attribute, not a turtle atribute.
I have no idea why
tooter = turtle.Turtle()
tooter.tracer(False)
doesn't give me an error (I thought silent errors were a bad thing).
Had to change to
tooter = turtle.Turtle()
tooter.screen.tracer(False) # tracer now a screen attribute
to turn tracing off in 3.1.
Naturally, having tracing on caused my program to crash. The 2.6
version
seemed to work, but only because turning off tracing as a turtle
attribute
works in 2.6.
So I turned it back on and it crashed too.
2.5 worked okay.
The reason is that code in turtle.py was chabged from
v2.5
if self._drawing:
if self._tracing:
dx = float(x1 - x0)
dy = float(y1 - y0)
distance = hypot(dx, dy)
nhops = int(distance)
to
v3.1
if self._speed and screen._tracing == 1:
diff = (end-start)
diffsq = (diff[0]*screen.xscale)**2 + (diff[1]
*screen.yscale)**2
nhops = 1+int((diffsq**0.5)/(3*(1.1**self._speed)
*self._speed))
Unfortunately, that calculation of nhops is illegal if diffsq is
an .mpf (gmpy
floating point). Otherwise, you get
Traceback (most recent call last):
File "K:\user_python26\turtle\turtle_xy_Py3.py", line 95, in
<module>
tooter.goto(the_coord)
File "C:\Python31\lib\turtle.py", line 1771, in goto
self._goto(Vec2D(*x))
File "C:\Python31\lib\turtle.py", line 3165, in _goto
nhops = 1+int((diffsq**0.5)/(3*(1.1**self._speed)*self._speed))
ValueError: mpq.pow fractional exponent, inexact-root
So when using gmpy, you have to convert the .mpz to int before calling
turtle
functions. (if tracing is on).
demo code (fixed code commented out)
import gmpy
## (even) hi----|
## |
## lo (odd)
## or
##
## (even) lo
## |
## |
## ----hi (odd)
##
##
##
##
import turtle
tooter = turtle.Turtle()
tooter.hideturtle()
tooter.speed('fast')
turtle.update()
# make tracer false and it works
#tooter.screen.tracer(False) # tracer now a screen attribute
tooter.penup()
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)
if s[1] == '0':
tooter.goto([1,0])
tooter.dot(1)
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)
## cur_root = int(gmpy.sqrt(i))
## lo__root = int(gmpy.sqrt(i)**2)
## hi__root = int(((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)]
## if side == 'northeast':
## elbow_offset = [int((gmpy.sqrt(elbow)-1)//2 +1),-int(((gmpy.sqrt
(elbow)-1)//2) +1)]
## else:
## elbow_offset = [-int(((gmpy.sqrt(elbow)-1)//2 +1)),int
(((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
## n = int(gmpy.sqrt(i)//2) - 1
the_coord = [-n, -n-1]
else:
n = (gmpy.sqrt(i)-1)//2 - 1
## n = int((gmpy.sqrt(i)-1)//2) - 1
the_coord = [1+n, 1+n]
if j == '0':
tooter.goto(the_coord)
tooter.dot(2)
print('done')
turtle.update()
turtle.done()
print('done')
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