On Jan 21, 5:36*pm, Gary Herron <gher...@islandtraining.comwrote:

tjhn...@gmail.com wrote:
How can I figure out the largest long available? *I was hoping for

something like sys.maxint, but I didn't see it. *Also, can someone

point me to where I can (concisely) read about size of such types

(int, float, long).

There is no explicit (defined) limit. *The amount of available address

space forms a practical limit.

But not the only limitation:

>>import collatz_functions as cf

for k in xrange(1,20):

a = cf.Type12MH(k,1)

print 'number of digits in generation %2d:' %

(k),cf.gmpy.numdigits(a)

number of digits in generation 1: 2

number of digits in generation 2: 9

number of digits in generation 3: 74

number of digits in generation 4: 659

number of digits in generation 5: 5926

number of digits in generation 6: 53328

number of digits in generation 7: 479940

number of digits in generation 8: 4319453

number of digits in generation 9: 38875064

number of digits in generation 10: 349875565

Traceback (most recent call last):

File "<pyshell#12>", line 2, in <module>

a = cf.Type12MH(k,1)

File "C:\Program Files\PyGTK\Python\lib\collatz_functions.py", line

745, in Type12MH

return TWO**(SIX*a - ONE) - ONE

ValueError: mpz.pow outrageous exponent

The power function can't do exponents that have 32 or more bits

even if the memory can hold the resulting number.

>

Gary Herron