@rayyamhk/complex/lib/core/static/divide.js

A lightweight and easy-to-use library for you to manipulate complex numbers

"use strict";

/**
 * Calculates the quotient of two Complex Number.<br><br>
 * 
 * Note that if the denominator is considered as 0,
 * returns Complex.NaN instead of Infinity.
 * @memberof Complex
 * @static
 * @param {Complex} num1 - The Complex Number on the left of '/' operator.
 * @param {Complex} num2 - The Complex Number on the right of '/' operator.
 * @returns {Complex} The quotient of two Complex Numbers
 */
function divide(num1, num2) {
  if (!(num1 instanceof this) || !(num2 instanceof this)) {
    return this.NaN;
  }

  var a = num1.re;
  var b = num1.im;
  var c = num2.re;
  var d = num2.im;

  if (Math.abs(c) < this.EPSILON && Math.abs(d) < this.EPSILON) {
    return this.NaN;
  }

  var denominator = Math.pow(c, 2) + Math.pow(d, 2);
  return new this((a * c + b * d) / denominator, (b * c - a * d) / denominator);
}

module.exports = divide;