index.ts

import { greatestCommonDivisor } from '../greatestCommonDivisor'

export function fractionalSimplify(numerator: number, denominator: number) {
  if (numerator === 0 || denominator === 0) return [0]

  const absNumerator = Math.abs(numerator)
  const absDenominator = Math.abs(denominator)
  const SIGN = Math.sign(numerator) * Math.sign(denominator)
  const REMINDER = absNumerator % absDenominator
  const QUOTIENT = absNumerator / absDenominator

  if (REMINDER === 0) return [SIGN * QUOTIENT]

  const GREATEST_COMMON_DIVISOR = greatestCommonDivisor(
    absNumerator,
    absDenominator,
  )

  return [
    SIGN * Math.floor(QUOTIENT) || 0,
    SIGN * (REMINDER / GREATEST_COMMON_DIVISOR),
    absDenominator / GREATEST_COMMON_DIVISOR,
  ]
}