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Python is an interpreted, general-purpose high-level programming language whose design philosophy emphasizes code readability. Use the python tag for all Python related questions. If you believe your question may be even more specific, you can include a version specific tag such as python-3.x.
14
votes
3
answers
8k
views
Tonelli-Shanks algorithm implementation of prime modular square root
I did an implementation of the Tonelli-Shanks algorithm as defined on Wikipedia. I put it here for review and sharing purpose.
Legendre Symbol implementation:
def legendre_symbol(a, p):
"""
…
2
votes
Performance of modular square root
You should find an algorithm finding the root square of 1 module n.
x^2 = 1 mod n
To do that:
Factorize n in prime factor. n = p1^e1 * p2^e2 * ... * pk^ek
Find the root for all prime xi^2 = 1 mod …