A package for very efficiently decomposing a number n into all possible x**2 + y**2 = n solutions.

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  • License: MIT License (MIT)
  • Author: Ryan Heard
  • Tags math
  • Requires: Python >=3.9
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twosquares

Fast, exact decompositions of integers as sums of two squares.

twosquares exposes two simple methods for this number-theory task:

  • decompose_prime(p) — find the unique nonnegative pair (a, b) with a² + b² = p for p = 2 or prime p ≡ 1 (mod 4).

  • decompose_number(n) — enumerate all nonnegative pairs (a, b) with a² + b² = n (canonical pairs only).

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  • License: MIT License (MIT)
  • Author: Ryan Heard
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