Created
July 4, 2016 21:01
-
-
Save EnricoMiccoli/936e351d5236397b6cfaa9d2c1a1424f to your computer and use it in GitHub Desktop.
Slowly compute pythagorean triples with pyDatalog
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
from pyDatalog import pyDatalog as pyd | |
import sys | |
pyd.create_terms('L1, L2, I, triples') | |
def triples(maxleg): | |
return (L1.in_(range(1,maxleg)) & | |
L2.in_(range(1,maxleg)) & | |
I.in_(range(1, 2 * maxleg)) & | |
(I ** 2 == (L1 ** 2 + L2 ** 2)) | |
) | |
# 2*maxleg is a nice integer upperbound for sqrt(2 maxleg^2) | |
# also valid because of the triangular inequality | |
s = triples(int(sys.argv[1])) | |
print('\n'.join([str(x) for x in sorted(s) if x[0] < x[1]])) |
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment