number-partitioner/tests/partitioner.js

Gernerates partitions for positive interger (https://en.wikipedia.org/wiki/Partition_(number_theory))

//var test = require('tape')
import test from 'tape'
import partition from '../partitioner'


const testPartitionsFor = (number, expectedPartitions) => {
  test(`Partitions for ${number} should be as expected`, t => {
    let partitions = partition(number);
    t.deepEqual(partitions, expectedPartitions);

    t.end();
  })
}

testPartitionsFor(1, [
  [1],
])


testPartitionsFor(2, [
  [2],
  [1,1],
])

testPartitionsFor(3, [
  [3],
  [2,1],
  [1,1,1],
])

testPartitionsFor(4, [
  [4],
  [3,1],
  [2,2],
  [2,1,1],
  [1,1,1,1]
])

testPartitionsFor(5, [
  [5],
  [4,1],
  [3,2],
  [3,1,1],
  [2,2,1],
  [2,1,1,1],
  [1,1,1,1,1],
])

testPartitionsFor(6, [
  [6],
  [5,1],
  [4,2],
  [4,1,1],
  [3,3],
  [3,2,1],
  [3,1,1,1],
  [2,2,2],
  [2,2,1,1],
  [2,1,1,1,1],
  [1,1,1,1,1,1],
])

testPartitionsFor(7, [ [ 7 ], [ 6, 1 ], [ 5, 2 ], [ 5, 1, 1 ], [ 4, 3 ], [ 4, 2, 1 ], [ 4, 1, 1, 1 ], [ 3, 3, 1 ],
  [ 3, 2, 2 ], [ 3, 2, 1, 1 ], [ 3, 1, 1, 1, 1 ], [ 2, 2, 2, 1 ], [ 2, 2, 1, 1, 1 ], [ 2, 1, 1, 1, 1, 1 ],
  [ 1, 1, 1, 1, 1, 1, 1 ]])

testPartitionsFor(8, [ [ 8 ], [ 7, 1 ], [ 6, 2 ], [ 6, 1, 1 ], [ 5, 3 ], [ 5, 2, 1 ], [ 5, 1, 1, 1 ], [ 4, 4 ], [ 4, 3, 1 ], [ 4, 2, 2 ], [ 4, 2, 1, 1 ], [ 4, 1, 1, 1, 1 ], [ 3, 3, 2 ], [ 3, 3, 1, 1 ], [ 3, 2, 2, 1 ], [ 3, 2, 1, 1, 1 ], [ 3, 1, 1, 1, 1, 1 ], [ 2, 2, 2, 2 ], [ 2, 2, 2, 1, 1 ], [ 2, 2, 1, 1, 1, 1 ], [ 2, 1, 1, 1, 1, 1, 1 ], [ 1, 1, 1, 1, 1, 1, 1, 1 ] ])

testPartitionsFor(18, [ [ 18 ], [ 17, 1 ], [ 16, 2 ], [ 16, 1, 1 ], [ 15, 3 ], [ 15, 2, 1 ], [ 15, 1, 1, 1 ], [ 14, 4 ], [ 14, 3, 1 ], [ 14, 2, 2 ], [ 14, 2, 1, 1 ], [ 14, 1, 1, 1, 1 ], [ 13, 5 ], [ 13, 4, 1 ], [ 13, 3, 2 ], [ 13, 3, 1, 1 ], [ 13, 2, 2, 1 ], [ 13, 2, 1, 1, 1 ], [ 13, 1, 1, 1, 1, 1 ], [ 12, 6 ], [ 12, 5, 1 ], [ 12, 4, 2 ], [ 12, 4, 1, 1 ], [ 12, 3, 3 ], [ 12, 3, 2, 1 ], [ 12, 3, 1, 1, 1 ], [ 12, 2, 2, 2 ], [ 12, 2, 2, 1, 1 ], [ 12, 2, 1, 1, 1, 1 ], [ 12, 1, 1, 1, 1, 1, 1 ], [ 11, 7 ], [ 11, 6, 1 ], [ 11, 5, 2 ], [ 11, 5, 1, 1 ], [ 11, 4, 3 ], [ 11, 4, 2, 1 ], [ 11, 4, 1, 1, 1 ], [ 11, 3, 3, 1 ], [ 11, 3, 2, 2 ], [ 11, 3, 2, 1, 1 ], [ 11, 3, 1, 1, 1, 1 ], [ 11, 2, 2, 2, 1 ], [ 11, 2, 2, 1, 1, 1 ], [ 11, 2, 1, 1, 1, 1, 1 ], [ 11, 1, 1, 1, 1, 1, 1, 1 ], [ 10, 8 ], [ 10, 7, 1 ], [ 10, 6, 2 ], [ 10, 6, 1, 1 ], [ 10, 5, 3 ], [ 10, 5, 2, 1 ], [ 10, 5, 1, 1, 1 ], [ 10, 4, 4 ], [ 10, 4, 3, 1 ], [ 10, 4, 2, 2 ], [ 10, 4, 2, 1, 1 ], [ 10, 4, 1, 1, 1, 1 ], [ 10, 3, 3, 2 ], [ 10, 3, 3, 1, 1 ], [ 10, 3, 2, 2, 1 ], [ 10, 3, 2, 1, 1, 1 ], [ 10, 3, 1, 1, 1, 1, 1 ], [ 10, 2, 2, 2, 2 ], [ 10, 2, 2, 2, 1, 1 ], [ 10, 2, 2, 1, 1, 1, 1 ], [ 10, 2, 1, 1, 1, 1, 1, 1 ], [ 10, 1, 1, 1, 1, 1, 1, 1, 1 ], [ 9, 9 ], [ 9, 8, 1 ], [ 9, 7, 2 ], [ 9, 7, 1, 1 ], [ 9, 6, 3 ], [ 9, 6, 2, 1 ], [ 9, 6, 1, 1, 1 ], [ 9, 5, 4 ], [ 9, 5, 3, 1 ], [ 9, 5, 2, 2 ], [ 9, 5, 2, 1, 1 ], [ 9, 5, 1, 1, 1, 1 ], [ 9, 4, 4, 1 ], [ 9, 4, 3, 2 ], [ 9, 4, 3, 1, 1 ], [ 9, 4, 2, 2, 1 ], [ 9, 4, 2, 1, 1, 1 ], [ 9, 4, 1, 1, 1, 1, 1 ], [ 9, 3, 3, 3 ], [ 9, 3, 3, 2, 1 ], [ 9, 3, 3, 1, 1, 1 ], [ 9, 3, 2, 2, 2 ], [ 9, 3, 2, 2, 1, 1 ], [ 9, 3, 2, 1, 1, 1, 1 ], [ 9, 3, 1, 1, 1, 1, 1, 1 ], [ 9, 2, 2, 2, 2, 1 ], [ 9, 2, 2, 2, 1, 1, 1 ], [ 9, 2, 2, 1, 1, 1, 1, 1 ], [ 9, 2, 1, 1, 1, 1, 1, 1, 1 ], [ 9, 1, 1, 1, 1, 1, 1, 1, 1, 1 ], [ 8, 8, 2 ], [ 8, 8, 1, 1 ], [ 8, 7, 3 ], [ 8, 7, 2, 1 ], [ 8, 7, 1, 1, 1 ], [ 8, 6, 4 ], [ 8, 6, 3, 1 ], [ 8, 6, 2, 2 ], [ 8, 6, 2, 1, 1 ], [ 8, 6, 1, 1, 1, 1 ], [ 8, 5, 5 ], [ 8, 5, 4, 1 ], [ 8, 5, 3, 2 ], [ 8, 5, 3, 1, 1 ], [ 8, 5, 2, 2, 1 ], [ 8, 5, 2, 1, 1, 1 ], [ 8, 5, 1, 1, 1, 1, 1 ], [ 8, 4, 4, 2 ], [ 8, 4, 4, 1, 1 ], [ 8, 4, 3, 3 ], [ 8, 4, 3, 2, 1 ], [ 8, 4, 3, 1, 1, 1 ], [ 8, 4, 2, 2, 2 ], [ 8, 4, 2, 2, 1, 1 ], [ 8, 4, 2, 1, 1, 1, 1 ], [ 8, 4, 1, 1, 1, 1, 1, 1 ], [ 8, 3, 3, 3, 1 ], [ 8, 3, 3, 2, 2 ], [ 8, 3, 3, 2, 1, 1 ], [ 8, 3, 3, 1, 1, 1, 1 ], [ 8, 3, 2, 2, 2, 1 ], [ 8, 3, 2, 2, 1, 1, 1 ], [ 8, 3, 2, 1, 1, 1, 1, 1 ], [ 8, 3, 1, 1, 1, 1, 1, 1, 1 ], [ 8, 2, 2, 2, 2, 2 ], [ 8, 2, 2, 2, 2, 1, 1 ], [ 8, 2, 2, 2, 1, 1, 1, 1 ], [ 8, 2, 2, 1, 1, 1, 1, 1, 1 ], [ 8, 2, 1, 1, 1, 1, 1, 1, 1, 1 ], [ 8, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ], [ 7, 7, 4 ], [ 7, 7, 3, 1 ], [ 7, 7, 2, 2 ], [ 7, 7, 2, 1, 1 ], [ 7, 7, 1, 1, 1, 1 ], [ 7, 6, 5 ], [ 7, 6, 4, 1 ], [ 7, 6, 3, 2 ], [ 7, 6, 3, 1, 1 ], [ 7, 6, 2, 2, 1 ], [ 7, 6, 2, 1, 1, 1 ], [ 7, 6, 1, 1, 1, 1, 1 ], [ 7, 5, 5, 1 ], [ 7, 5, 4, 2 ], [ 7, 5, 4, 1, 1 ], [ 7, 5, 3, 3 ], [ 7, 5, 3, 2, 1 ], [ 7, 5, 3, 1, 1, 1 ], [ 7, 5, 2, 2, 2 ], [ 7, 5, 2, 2, 1, 1 ], [ 7, 5, 2, 1, 1, 1, 1 ], [ 7, 5, 1, 1, 1, 1, 1, 1 ], [ 7, 4, 4, 3 ], [ 7, 4, 4, 2, 1 ], [ 7, 4, 4, 1, 1, 1 ], [ 7, 4, 3, 3, 1 ], [ 7, 4, 3, 2, 2 ], [ 7, 4, 3, 2, 1, 1 ], [ 7, 4, 3, 1, 1, 1, 1 ], [ 7, 4, 2, 2, 2, 1 ], [ 7, 4, 2, 2, 1, 1, 1 ], [ 7, 4, 2, 1, 1, 1, 1, 1 ], [ 7, 4, 1, 1, 1, 1, 1, 1, 1 ], [ 7, 3, 3, 3, 2 ], [ 7, 3, 3, 3, 1, 1 ], [ 7, 3, 3, 2, 2, 1 ], [ 7, 3, 3, 2, 1, 1, 1 ], [ 7, 3, 3, 1, 1, 1, 1, 1 ], [ 7, 3, 2, 2, 2, 2 ], [ 7, 3, 2, 2, 2, 1, 1 ], [ 7, 3, 2, 2, 1, 1, 1, 1 ], [ 7, 3, 2, 1, 1, 1, 1, 1, 1 ], [ 7, 3, 1, 1, 1, 1, 1, 1, 1, 1 ], [ 7, 2, 2, 2, 2, 2, 1 ], [ 7, 2, 2, 2, 2, 1, 1, 1 ], [ 7, 2, 2, 2, 1, 1, 1, 1, 1 ], [ 7, 2, 2, 1, 1, 1, 1, 1, 1, 1 ], [ 7, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1 ], [ 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ], [ 6, 6, 6 ], [ 6, 6, 5, 1 ], [ 6, 6, 4, 2 ], [ 6, 6, 4, 1, 1 ], [ 6, 6, 3, 3 ], [ 6, 6, 3, 2, 1 ], [ 6, 6, 3, 1, 1, 1 ], [ 6, 6, 2, 2, 2 ], [ 6, 6, 2, 2, 1, 1 ], [ 6, 6, 2, 1, 1, 1, 1 ], [ 6, 6, 1, 1, 1, 1, 1, 1 ], [ 6, 5, 5, 2 ], [ 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