Auth.js

var Buffer = require('safe-buffer').Buffer;
var Crypto = require('crypto');
var Auth   = exports;

function createHash(msg, algorithm) {
  algorithm = algorithm || 'sha1';
  var hash = Crypto.createHash(algorithm);
  hash.update(msg, 'binary');
  return hash.digest('binary');
}

function sha1(msg) {
  return createHash(msg, 'sha1');
}

function sha256(msg) {
  return createHash(msg, 'sha256');
}

Auth.sha1 = sha1;
Auth.sha256 = sha256;

function xor(a, b) {
  a = Buffer.from(a, 'binary');
  b = Buffer.from(b, 'binary');
  var result = Buffer.allocUnsafe(a.length);
  for (var i = 0; i < a.length; i++) {
    result[i] = (a[i] ^ b[i]);
  }
  return result;
}
Auth.xor = xor;

Auth.token = function(password, scramble) {
  if (!password) {
    return Buffer.alloc(0);
  }

  // password must be in binary format, not utf8
  var stage1 = sha1((Buffer.from(password, 'utf8')).toString('binary'));
  var stage2 = sha1(stage1);
  var stage3 = sha1(scramble.toString('binary') + stage2);
  return xor(stage3, stage1);
};

Auth.sha2Token = function(password, scramble) {
  if (!password) {
    return Buffer.alloc(0);
  }

  // password must be in binary format, not utf8
  var stage1 = sha256((Buffer.from(password, 'utf8')).toString('binary'));
  var stage2 = sha256(stage1);
  var stage3 = sha256(stage2 + scramble.toString('binary'));
  return xor(stage1, stage3);
};

Auth.encrypt = function(password, scramble, key) {
  if (typeof Crypto.publicEncrypt !== 'function') {
    var err  = new Error('The Node.js version does not support public key encryption');
    err.code = 'PUB_KEY_ENCRYPTION_NOT_AVAILABLE';
    throw err;
  }

  var stage1 = xor((Buffer.from(password + '\0', 'utf8')).toString('binary'), scramble.toString('binary'));
  return Crypto.publicEncrypt(key, stage1);
};

// This is a port of sql/password.c:hash_password which needs to be used for
// pre-4.1 passwords.
Auth.hashPassword = function(password) {
  var nr     = [0x5030, 0x5735];
  var add    = 7;
  var nr2    = [0x1234, 0x5671];
  var result = Buffer.alloc(8);

  if (typeof password === 'string'){
    password = Buffer.from(password);
  }

  for (var i = 0; i < password.length; i++) {
    var c = password[i];
    if (c === 32 || c === 9) {
      // skip space in password
      continue;
    }

    // nr^= (((nr & 63)+add)*c)+ (nr << 8);
    // nr = xor(nr, add(mul(add(and(nr, 63), add), c), shl(nr, 8)))
    nr = this.xor32(nr, this.add32(this.mul32(this.add32(this.and32(nr, [0, 63]), [0, add]), [0, c]), this.shl32(nr, 8)));

    // nr2+=(nr2 << 8) ^ nr;
    // nr2 = add(nr2, xor(shl(nr2, 8), nr))
    nr2 = this.add32(nr2, this.xor32(this.shl32(nr2, 8), nr));

    // add+=tmp;
    add += c;
  }

  this.int31Write(result, nr, 0);
  this.int31Write(result, nr2, 4);

  return result;
};

Auth.randomInit = function(seed1, seed2) {
  return {
    max_value     : 0x3FFFFFFF,
    max_value_dbl : 0x3FFFFFFF,
    seed1         : seed1 % 0x3FFFFFFF,
    seed2         : seed2 % 0x3FFFFFFF
  };
};

Auth.myRnd = function(r){
  r.seed1 = (r.seed1 * 3 + r.seed2) % r.max_value;
  r.seed2 = (r.seed1 + r.seed2 + 33) % r.max_value;

  return r.seed1 / r.max_value_dbl;
};

Auth.scramble323 = function(message, password) {
  var to          = Buffer.allocUnsafe(8);
  var hashPass    = this.hashPassword(password);
  var hashMessage = this.hashPassword(message.slice(0, 8));
  var seed1       = this.int32Read(hashPass, 0) ^ this.int32Read(hashMessage, 0);
  var seed2       = this.int32Read(hashPass, 4) ^ this.int32Read(hashMessage, 4);
  var r           = this.randomInit(seed1, seed2);

  for (var i = 0; i < 8; i++){
    to[i] = Math.floor(this.myRnd(r) * 31) + 64;
  }
  var extra = (Math.floor(this.myRnd(r) * 31));

  for (var i = 0; i < 8; i++){
    to[i] ^= extra;
  }

  return to;
};

Auth.xor32 = function(a, b){
  return [a[0] ^ b[0], a[1] ^ b[1]];
};

Auth.add32 = function(a, b){
  var w1 = a[1] + b[1];
  var w2 = a[0] + b[0] + ((w1 & 0xFFFF0000) >> 16);

  return [w2 & 0xFFFF, w1 & 0xFFFF];
};

Auth.mul32 = function(a, b){
  // based on this example of multiplying 32b ints using 16b
  // http://www.dsprelated.com/showmessage/89790/1.php
  var w1 = a[1] * b[1];
  var w2 = (((a[1] * b[1]) >> 16) & 0xFFFF) + ((a[0] * b[1]) & 0xFFFF) + (a[1] * b[0] & 0xFFFF);

  return [w2 & 0xFFFF, w1 & 0xFFFF];
};

Auth.and32 = function(a, b){
  return [a[0] & b[0], a[1] & b[1]];
};

Auth.shl32 = function(a, b){
  // assume b is 16 or less
  var w1 = a[1] << b;
  var w2 = (a[0] << b) | ((w1 & 0xFFFF0000) >> 16);

  return [w2 & 0xFFFF, w1 & 0xFFFF];
};

Auth.int31Write = function(buffer, number, offset) {
  buffer[offset] = (number[0] >> 8) & 0x7F;
  buffer[offset + 1] = (number[0]) & 0xFF;
  buffer[offset + 2] = (number[1] >> 8) & 0xFF;
  buffer[offset + 3] = (number[1]) & 0xFF;
};

Auth.int32Read = function(buffer, offset){
  return (buffer[offset] << 24)
       + (buffer[offset + 1] << 16)
       + (buffer[offset + 2] << 8)
       + (buffer[offset + 3]);
};