pascal

pascal.js

'use strict';

const { compose, curry, times, max, add, map, join, memoize } = require('ramda')

const toFixed = curry((p, n) => Number(n.toFixed(p)))

const format = compose(join('\n'), map(join(', ')), map(map(toFixed(3))))

const pascal = memoize((n, s = 1) => {
  const result = [[s]]
  times((n) => {
    const row = n + 1
    result[row] = []
    times((col) => {
      result[row][col] = add(
          max(0, result[row - 1][col]),
          max(0, result[row - 1][col - 1])
      )
    }, row + 1)
  }, n)
  return result
})

const Φ = 1.618033988749894848204586834

const C = toFixed(10, Φ)

console.log(format(pascal(10, C)))