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pythagorean-triples

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Readme

pythagorean-triples

Install

var triples = require('pythagorean-triples');

Usage

triples.euclid(m, n)

Generates a Pythagorean triple, using Euclid's formula a = m^2 - n^2, b = 2mn, c = m^2 + n^2.

The returned triple is sorted numerically a < b < c.

console.log(triples.euclid(2, 1)); // [3, 4, 5]
console.log(triples.euclid(3, 2)); // [5, 12, 13]

triples.upToM(m)

Generates all the triples for integers m and n where 1 <= n < m.

console.log(triples.upToM(4));

[
  [ 3, 4, 5 ],
  [ 6, 8, 10 ],
  [ 5, 12, 13 ],
  [ 8, 15, 17 ],
  [ 12, 16, 20 ],
  [ 7, 24, 25 ]
]

triples.upToSum(sum)

Generates all the triples where a + b + c <= sum.

console.log(triples.upToSum(35))

[
  [ 3, 4, 5 ],
  [ 6, 8, 10 ],
  [ 5, 12, 13 ],
]