Beginner Exercism • javascript

Rational Numbers

Challenge Overview

A rational number is defined as the quotient of two integers `a` and `b`, called the numerator and denominator, respectively, where `b != 0`.

Source: Exercism javascript/rational-numbers

💡 View Solution

export class Rational {
  constructor(num, den) {
    if (den < 0) {
      num = -num;
      den = -den;
    }
    const common = this.gcd(Math.abs(num), Math.abs(den));
    this.num = num / common;
    this.den = den / common;
  }

  gcd(a, b) {
    return b === 0 ? a : this.gcd(b, a % b);
  }

  add(other) {
    return new Rational(this.num * other.den + other.num * this.den, this.den * other.den);
  }

  sub(other) {
    return new Rational(this.num * other.den - other.num * this.den, this.den * other.den);
  }

  mul(other) {
    return new Rational(this.num * other.num, this.den * other.den);
  }

  div(other) {
    return new Rational(this.num * other.den, other.num * this.den);
  }

  abs() {
    return new Rational(Math.abs(this.num), Math.abs(this.den));
  }

  exprational(n) {
    if (n >= 0) {
      return new Rational(Math.pow(this.num, n), Math.pow(this.den, n));
    } else {
      const m = Math.abs(n);
      return new Rational(Math.pow(this.den, m), Math.pow(this.num, m));
    }
  }

  expreal(x) {
    return Math.pow(Math.pow(this.num, x) / Math.pow(this.den, x), 1);
  }

  reduce() {
    return this;
  }
}