Fix #18

Now PQ prime factorisation is performed with closure long library when
possible. It gives significant performance improvements (10x sometimes)

app/app.manifest

@@ -1,6 +1,6 @@
 CACHE MANIFEST
 
-# 1
+# 2
 
 NETWORK:
 *

app/index.html

@@ -79,6 +79,7 @@
   <script type="text/javascript" src="vendor/jsbn/jsbn_combined.js"></script>
   <script type="text/javascript" src="vendor/cryptoJS/crypto.js"></script>
   <script type="text/javascript" src="vendor/zlib/gunzip.min.js"></script>
+  <script type="text/javascript" src="vendor/closure/long.js"></script>
 
 
   <script type="text/javascript" src="js/lib/config.js"></script>

app/js/lib/mtproto.js

@@ -271,12 +271,36 @@ function nextRandomInt (maxValue) {
 };
 
 function pqPrimeFactorization (pqBytes) {
-  console.log('PQ start');
-
   var what = new BigInteger(pqBytes),
-      g;
+      result = false;
+
+  console.log('PQ start', pqBytes, what.bitLength());
+
+  if (what.bitLength() <= 64) {
+    // console.time('PQ long');
+    try {
+      result = pqPrimeLong(goog.math.Long.fromString(what.toString(16), 16));
+    } catch (e) {
+      console.error(e);
+    };
+    // console.timeEnd('PQ long');
+  }
+  console.log(result);
 
-  var it = 0;
+  if (result === false) {
+    // console.time('pq BigInt');
+    result = pqPrimeBigInteger(what);
+    // console.timeEnd('pq BigInt');
+  }
+
+  console.log('PQ finish');
+
+  return result;
+}
+
+function pqPrimeBigInteger (what) {
+  var it = 0,
+      g;
   for (var i = 0; i < 3; i++) {
     var q = (nextRandomInt(128) & 15) + 17,
         x = bigint(nextRandomInt(1000000000) + 1),
@@ -328,11 +352,86 @@ function pqPrimeFactorization (pqBytes) {
     Q = f;
   }
 
-  console.log('PQ finish', it + ' iterations');
-
   return [bytesFromBigInt(P), bytesFromBigInt(Q)];
 }
 
+function gcdLong(a, b) {
+  while (a.notEquals(goog.math.Long.ZERO) && b.notEquals(goog.math.Long.ZERO)) {
+    while (b.and(goog.math.Long.ONE).equals(goog.math.Long.ZERO)) {
+      b = b.shiftRight(1);
+    }
+    while (a.and(goog.math.Long.ONE).equals(goog.math.Long.ZERO)) {
+      a = a.shiftRight(1);
+    }
+    if (a.compare(b) > 0) {
+      a = a.subtract(b);
+    } else {
+      b = b.subtract(a);
+    }
+  }
+  return b.equals(goog.math.Long.ZERO) ? a : b;
+}
+
+function pqPrimeLong(what) {
+  var it = 0,
+      g;
+  for (var i = 0; i < 3; i++) {
+    var q = (nextRandomInt(128) & 15) + 17,
+        x = goog.math.Long.fromInt(nextRandomInt(1000000000) + 1),
+        y = new goog.math.Long(x.getLowBits(), x.getHighBits()),
+        lim = 1 << (i + 18);
+    // console.log(x);
+
+    for (var j = 1; j < lim; j++) {
+      ++it;
+      var a = new goog.math.Long(x.getLowBits(), x.getHighBits()),
+          b = new goog.math.Long(x.getLowBits(), x.getHighBits()),
+          c = goog.math.Long.fromInt(q);
+
+      // console.log(a, b, c);
+
+      while (b.notEquals(goog.math.Long.ZERO)) {
+        if (b.and(goog.math.Long.ONE).notEquals(goog.math.Long.ZERO)) {
+          c = c.add(a);
+          if (c.compare(what) > 0) {
+            c = c.subtract(what);
+          }
+        }
+        a = a.add(a);
+        if (a.compare(what) > 0) {
+          a = a.subtract(what);
+        }
+        b = b.shiftRight(1);
+      }
+
+      x = new goog.math.Long(c.getLowBits(), c.getHighBits());
+      var z = x.compare(y) < 0 ? y.subtract(x) : x.subtract(y);
+      g = gcdLong(z, what);
+      if (g.notEquals(goog.math.Long.ONE)) {
+        break;
+      }
+      if ((j & (j - 1)) == 0) {
+        y = new goog.math.Long(x.getLowBits(), x.getHighBits());
+      }
+    }
+    if (g.compare(goog.math.Long.ONE) > 0) {
+      break;
+    }
+  }
+
+  var f = what.div(g), P, Q;
+
+  if (g.compare(f) > 0) {
+    P = f;
+    Q = g;
+  } else {
+    P = g;
+    Q = f;
+  }
+
+  return [bytesFromHex(P.toString(16)), bytesFromHex(Q.toString(16))];
+}
+
 
 function TLSerialization (options) {
   options = options || {};
@@ -1127,12 +1226,13 @@ factory('MtpAuthorizer', function (MtpDcConfigurator, MtpRsaKeysManager, MtpSecu
       }
 
       console.log(dT(), 'PQ factorization start');
-      if (!!window.Worker && false) {
+      if (!!window.Worker) {
         var worker = new Worker('js/lib/pq_worker.js');
 
         worker.onmessage = function (e) {
           auth.p = e.data[0];
           auth.q = e.data[1];
+          console.log(dT(), 'PQ factorization done');
           mtpSendReqDhParams(auth);
         };
         worker.onerror = function(error) {
@@ -1145,6 +1245,7 @@ factory('MtpAuthorizer', function (MtpDcConfigurator, MtpRsaKeysManager, MtpSecu
         auth.p = pAndQ[0];
         auth.q = pAndQ[1];
 
+        console.log(dT(), 'PQ factorization done');
         mtpSendReqDhParams(auth);
       }
     }, function (error) {

app/js/lib/pq_worker.js

@@ -8,6 +8,7 @@
 importScripts(
   '../../vendor/console-polyfill/console-polyfill.js',
   'mtproto.js',
+  '../../vendor/closure/long.js',
   '../../vendor/jsbn/jsbn_combined.js'
 );
 

app/vendor/closure/long.js

@@ -0,0 +1,813 @@
+// Copyright 2009 The Closure Library Authors. All Rights Reserved.
+//
+// Licensed under the Apache License, Version 2.0 (the "License");
+// you may not use this file except in compliance with the License.
+// You may obtain a copy of the License at
+//
+//      http://www.apache.org/licenses/LICENSE-2.0
+//
+// Unless required by applicable law or agreed to in writing, software
+// distributed under the License is distributed on an "AS-IS" BASIS,
+// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+// See the License for the specific language governing permissions and
+// limitations under the License.
+
+/**
+ * @fileoverview Defines a Long class for representing a 64-bit two's-complement
+ * integer value, which faithfully simulates the behavior of a Java "long". This
+ * implementation is derived from LongLib in GWT.
+ *
+ */
+
+/**
+ * This file also contains some modifications by Igor Zhukov in order to add custom scrollbars to EmojiMenu
+ * See keyword `MODIFICATION` in source code.
+ */
+
+/*! MODIFICATION
+The following line was added by Igor Zhukov in order to make library compatibile with other app parts
+*/
+this.goog = {provide: function () {}, math: {}};
+
+
+goog.provide('goog.math.Long');
+
+
+
+/**
+ * Constructs a 64-bit two's-complement integer, given its low and high 32-bit
+ * values as *signed* integers.  See the from* functions below for more
+ * convenient ways of constructing Longs.
+ *
+ * The internal representation of a long is the two given signed, 32-bit values.
+ * We use 32-bit pieces because these are the size of integers on which
+ * Javascript performs bit-operations.  For operations like addition and
+ * multiplication, we split each number into 16-bit pieces, which can easily be
+ * multiplied within Javascript's floating-point representation without overflow
+ * or change in sign.
+ *
+ * In the algorithms below, we frequently reduce the negative case to the
+ * positive case by negating the input(s) and then post-processing the result.
+ * Note that we must ALWAYS check specially whether those values are MIN_VALUE
+ * (-2^63) because -MIN_VALUE == MIN_VALUE (since 2^63 cannot be represented as
+ * a positive number, it overflows back into a negative).  Not handling this
+ * case would often result in infinite recursion.
+ *
+ * @param {number} low  The low (signed) 32 bits of the long.
+ * @param {number} high  The high (signed) 32 bits of the long.
+ * @constructor
+ */
+goog.math.Long = function(low, high) {
+  /**
+   * @type {number}
+   * @private
+   */
+  this.low_ = low | 0;  // force into 32 signed bits.
+
+  /**
+   * @type {number}
+   * @private
+   */
+  this.high_ = high | 0;  // force into 32 signed bits.
+};
+
+
+// NOTE: Common constant values ZERO, ONE, NEG_ONE, etc. are defined below the
+// from* methods on which they depend.
+
+
+/**
+ * A cache of the Long representations of small integer values.
+ * @type {!Object}
+ * @private
+ */
+goog.math.Long.IntCache_ = {};
+
+
+/**
+ * Returns a Long representing the given (32-bit) integer value.
+ * @param {number} value The 32-bit integer in question.
+ * @return {!goog.math.Long} The corresponding Long value.
+ */
+goog.math.Long.fromInt = function(value) {
+  if (-128 <= value && value < 128) {
+    var cachedObj = goog.math.Long.IntCache_[value];
+    if (cachedObj) {
+      return cachedObj;
+    }
+  }
+
+  var obj = new goog.math.Long(value | 0, value < 0 ? -1 : 0);
+  if (-128 <= value && value < 128) {
+    goog.math.Long.IntCache_[value] = obj;
+  }
+  return obj;
+};
+
+
+/**
+ * Returns a Long representing the given value, provided that it is a finite
+ * number.  Otherwise, zero is returned.
+ * @param {number} value The number in question.
+ * @return {!goog.math.Long} The corresponding Long value.
+ */
+goog.math.Long.fromNumber = function(value) {
+  if (isNaN(value) || !isFinite(value)) {
+    return goog.math.Long.ZERO;
+  } else if (value <= -goog.math.Long.TWO_PWR_63_DBL_) {
+    return goog.math.Long.MIN_VALUE;
+  } else if (value + 1 >= goog.math.Long.TWO_PWR_63_DBL_) {
+    return goog.math.Long.MAX_VALUE;
+  } else if (value < 0) {
+    return goog.math.Long.fromNumber(-value).negate();
+  } else {
+    return new goog.math.Long(
+        (value % goog.math.Long.TWO_PWR_32_DBL_) | 0,
+        (value / goog.math.Long.TWO_PWR_32_DBL_) | 0);
+  }
+};
+
+
+/**
+ * Returns a Long representing the 64-bit integer that comes by concatenating
+ * the given high and low bits.  Each is assumed to use 32 bits.
+ * @param {number} lowBits The low 32-bits.
+ * @param {number} highBits The high 32-bits.
+ * @return {!goog.math.Long} The corresponding Long value.
+ */
+goog.math.Long.fromBits = function(lowBits, highBits) {
+  return new goog.math.Long(lowBits, highBits);
+};
+
+
+/**
+ * Returns a Long representation of the given string, written using the given
+ * radix.
+ * @param {string} str The textual representation of the Long.
+ * @param {number=} opt_radix The radix in which the text is written.
+ * @return {!goog.math.Long} The corresponding Long value.
+ */
+goog.math.Long.fromString = function(str, opt_radix) {
+  if (str.length == 0) {
+    throw Error('number format error: empty string');
+  }
+
+  var radix = opt_radix || 10;
+  if (radix < 2 || 36 < radix) {
+    throw Error('radix out of range: ' + radix);
+  }
+
+  if (str.charAt(0) == '-') {
+    return goog.math.Long.fromString(str.substring(1), radix).negate();
+  } else if (str.indexOf('-') >= 0) {
+    throw Error('number format error: interior "-" character: ' + str);
+  }
+
+  // Do several (8) digits each time through the loop, so as to
+  // minimize the calls to the very expensive emulated div.
+  var radixToPower = goog.math.Long.fromNumber(Math.pow(radix, 8));
+
+  var result = goog.math.Long.ZERO;
+  for (var i = 0; i < str.length; i += 8) {
+    var size = Math.min(8, str.length - i);
+    var value = parseInt(str.substring(i, i + size), radix);
+    if (size < 8) {
+      var power = goog.math.Long.fromNumber(Math.pow(radix, size));
+      result = result.multiply(power).add(goog.math.Long.fromNumber(value));
+    } else {
+      result = result.multiply(radixToPower);
+      result = result.add(goog.math.Long.fromNumber(value));
+    }
+  }
+  return result;
+};
+
+
+// NOTE: the compiler should inline these constant values below and then remove
+// these variables, so there should be no runtime penalty for these.
+
+
+/**
+ * Number used repeated below in calculations.  This must appear before the
+ * first call to any from* function below.
+ * @type {number}
+ * @private
+ */
+goog.math.Long.TWO_PWR_16_DBL_ = 1 << 16;
+
+
+/**
+ * @type {number}
+ * @private
+ */
+goog.math.Long.TWO_PWR_24_DBL_ = 1 << 24;
+
+
+/**
+ * @type {number}
+ * @private
+ */
+goog.math.Long.TWO_PWR_32_DBL_ =
+    goog.math.Long.TWO_PWR_16_DBL_ * goog.math.Long.TWO_PWR_16_DBL_;
+
+
+/**
+ * @type {number}
+ * @private
+ */
+goog.math.Long.TWO_PWR_31_DBL_ =
+    goog.math.Long.TWO_PWR_32_DBL_ / 2;
+
+
+/**
+ * @type {number}
+ * @private
+ */
+goog.math.Long.TWO_PWR_48_DBL_ =
+    goog.math.Long.TWO_PWR_32_DBL_ * goog.math.Long.TWO_PWR_16_DBL_;
+
+
+/**
+ * @type {number}
+ * @private
+ */
+goog.math.Long.TWO_PWR_64_DBL_ =
+    goog.math.Long.TWO_PWR_32_DBL_ * goog.math.Long.TWO_PWR_32_DBL_;
+
+
+/**
+ * @type {number}
+ * @private
+ */
+goog.math.Long.TWO_PWR_63_DBL_ =
+    goog.math.Long.TWO_PWR_64_DBL_ / 2;
+
+
+/** @type {!goog.math.Long} */
+goog.math.Long.ZERO = goog.math.Long.fromInt(0);
+
+
+/** @type {!goog.math.Long} */
+goog.math.Long.ONE = goog.math.Long.fromInt(1);
+
+
+/** @type {!goog.math.Long} */
+goog.math.Long.NEG_ONE = goog.math.Long.fromInt(-1);
+
+
+/** @type {!goog.math.Long} */
+goog.math.Long.MAX_VALUE =
+    goog.math.Long.fromBits(0xFFFFFFFF | 0, 0x7FFFFFFF | 0);
+
+
+/** @type {!goog.math.Long} */
+goog.math.Long.MIN_VALUE = goog.math.Long.fromBits(0, 0x80000000 | 0);
+
+
+/**
+ * @type {!goog.math.Long}
+ * @private
+ */
+goog.math.Long.TWO_PWR_24_ = goog.math.Long.fromInt(1 << 24);
+
+
+/** @return {number} The value, assuming it is a 32-bit integer. */
+goog.math.Long.prototype.toInt = function() {
+  return this.low_;
+};
+
+
+/** @return {number} The closest floating-point representation to this value. */
+goog.math.Long.prototype.toNumber = function() {
+  return this.high_ * goog.math.Long.TWO_PWR_32_DBL_ +
+         this.getLowBitsUnsigned();
+};
+
+
+/**
+ * @param {number=} opt_radix The radix in which the text should be written.
+ * @return {string} The textual representation of this value.
+ * @override
+ */
+goog.math.Long.prototype.toString = function(opt_radix) {
+  var radix = opt_radix || 10;
+  if (radix < 2 || 36 < radix) {
+    throw Error('radix out of range: ' + radix);
+  }
+
+  if (this.isZero()) {
+    return '0';
+  }
+
+  if (this.isNegative()) {
+    if (this.equals(goog.math.Long.MIN_VALUE)) {
+      // We need to change the Long value before it can be negated, so we remove
+      // the bottom-most digit in this base and then recurse to do the rest.
+      var radixLong = goog.math.Long.fromNumber(radix);
+      var div = this.div(radixLong);
+      var rem = div.multiply(radixLong).subtract(this);
+      return div.toString(radix) + rem.toInt().toString(radix);
+    } else {
+      return '-' + this.negate().toString(radix);
+    }
+  }
+
+  // Do several (6) digits each time through the loop, so as to
+  // minimize the calls to the very expensive emulated div.
+  var radixToPower = goog.math.Long.fromNumber(Math.pow(radix, 6));
+
+  var rem = this;
+  var result = '';
+  while (true) {
+    var remDiv = rem.div(radixToPower);
+    var intval = rem.subtract(remDiv.multiply(radixToPower)).toInt();
+    var digits = intval.toString(radix);
+
+    rem = remDiv;
+    if (rem.isZero()) {
+      return digits + result;
+    } else {
+      while (digits.length < 6) {
+        digits = '0' + digits;
+      }
+      result = '' + digits + result;
+    }
+  }
+};
+
+
+/** @return {number} The high 32-bits as a signed value. */
+goog.math.Long.prototype.getHighBits = function() {
+  return this.high_;
+};
+
+
+/** @return {number} The low 32-bits as a signed value. */
+goog.math.Long.prototype.getLowBits = function() {
+  return this.low_;
+};
+
+
+/** @return {number} The low 32-bits as an unsigned value. */
+goog.math.Long.prototype.getLowBitsUnsigned = function() {
+  return (this.low_ >= 0) ?
+      this.low_ : goog.math.Long.TWO_PWR_32_DBL_ + this.low_;
+};
+
+
+/**
+ * @return {number} Returns the number of bits needed to represent the absolute
+ *     value of this Long.
+ */
+goog.math.Long.prototype.getNumBitsAbs = function() {
+  if (this.isNegative()) {
+    if (this.equals(goog.math.Long.MIN_VALUE)) {
+      return 64;
+    } else {
+      return this.negate().getNumBitsAbs();
+    }
+  } else {
+    var val = this.high_ != 0 ? this.high_ : this.low_;
+    for (var bit = 31; bit > 0; bit--) {
+      if ((val & (1 << bit)) != 0) {
+        break;
+      }
+    }
+    return this.high_ != 0 ? bit + 33 : bit + 1;
+  }
+};
+
+
+/** @return {boolean} Whether this value is zero. */
+goog.math.Long.prototype.isZero = function() {
+  return this.high_ == 0 && this.low_ == 0;
+};
+
+
+/** @return {boolean} Whether this value is negative. */
+goog.math.Long.prototype.isNegative = function() {
+  return this.high_ < 0;
+};
+
+
+/** @return {boolean} Whether this value is odd. */
+goog.math.Long.prototype.isOdd = function() {
+  return (this.low_ & 1) == 1;
+};
+
+
+/**
+ * @param {goog.math.Long} other Long to compare against.
+ * @return {boolean} Whether this Long equals the other.
+ */
+goog.math.Long.prototype.equals = function(other) {
+  return (this.high_ == other.high_) && (this.low_ == other.low_);
+};
+
+
+/**
+ * @param {goog.math.Long} other Long to compare against.
+ * @return {boolean} Whether this Long does not equal the other.
+ */
+goog.math.Long.prototype.notEquals = function(other) {
+  return (this.high_ != other.high_) || (this.low_ != other.low_);
+};
+
+
+/**
+ * @param {goog.math.Long} other Long to compare against.
+ * @return {boolean} Whether this Long is less than the other.
+ */
+goog.math.Long.prototype.lessThan = function(other) {
+  return this.compare(other) < 0;
+};
+
+
+/**
+ * @param {goog.math.Long} other Long to compare against.
+ * @return {boolean} Whether this Long is less than or equal to the other.
+ */
+goog.math.Long.prototype.lessThanOrEqual = function(other) {
+  return this.compare(other) <= 0;
+};
+
+
+/**
+ * @param {goog.math.Long} other Long to compare against.
+ * @return {boolean} Whether this Long is greater than the other.
+ */
+goog.math.Long.prototype.greaterThan = function(other) {
+  return this.compare(other) > 0;
+};
+
+
+/**
+ * @param {goog.math.Long} other Long to compare against.
+ * @return {boolean} Whether this Long is greater than or equal to the other.
+ */
+goog.math.Long.prototype.greaterThanOrEqual = function(other) {
+  return this.compare(other) >= 0;
+};
+
+
+/**
+ * Compares this Long with the given one.
+ * @param {goog.math.Long} other Long to compare against.
+ * @return {number} 0 if they are the same, 1 if the this is greater, and -1
+ *     if the given one is greater.
+ */
+goog.math.Long.prototype.compare = function(other) {
+  if (this.equals(other)) {
+    return 0;
+  }
+
+  var thisNeg = this.isNegative();
+  var otherNeg = other.isNegative();
+  if (thisNeg && !otherNeg) {
+    return -1;
+  }
+  if (!thisNeg && otherNeg) {
+    return 1;
+  }
+
+  // at this point, the signs are the same, so subtraction will not overflow
+  if (this.subtract(other).isNegative()) {
+    return -1;
+  } else {
+    return 1;
+  }
+};
+
+
+/** @return {!goog.math.Long} The negation of this value. */
+goog.math.Long.prototype.negate = function() {
+  if (this.equals(goog.math.Long.MIN_VALUE)) {
+    return goog.math.Long.MIN_VALUE;
+  } else {
+    return this.not().add(goog.math.Long.ONE);
+  }
+};
+
+
+/**
+ * Returns the sum of this and the given Long.
+ * @param {goog.math.Long} other Long to add to this one.
+ * @return {!goog.math.Long} The sum of this and the given Long.
+ */
+goog.math.Long.prototype.add = function(other) {
+  // Divide each number into 4 chunks of 16 bits, and then sum the chunks.
+
+  var a48 = this.high_ >>> 16;
+  var a32 = this.high_ & 0xFFFF;
+  var a16 = this.low_ >>> 16;
+  var a00 = this.low_ & 0xFFFF;
+
+  var b48 = other.high_ >>> 16;
+  var b32 = other.high_ & 0xFFFF;
+  var b16 = other.low_ >>> 16;
+  var b00 = other.low_ & 0xFFFF;
+
+  var c48 = 0, c32 = 0, c16 = 0, c00 = 0;
+  c00 += a00 + b00;
+  c16 += c00 >>> 16;
+  c00 &= 0xFFFF;
+  c16 += a16 + b16;
+  c32 += c16 >>> 16;
+  c16 &= 0xFFFF;
+  c32 += a32 + b32;
+  c48 += c32 >>> 16;
+  c32 &= 0xFFFF;
+  c48 += a48 + b48;
+  c48 &= 0xFFFF;
+  return goog.math.Long.fromBits((c16 << 16) | c00, (c48 << 16) | c32);
+};
+
+
+/**
+ * Returns the difference of this and the given Long.
+ * @param {goog.math.Long} other Long to subtract from this.
+ * @return {!goog.math.Long} The difference of this and the given Long.
+ */
+goog.math.Long.prototype.subtract = function(other) {
+  return this.add(other.negate());
+};
+
+
+/**
+ * Returns the product of this and the given long.
+ * @param {goog.math.Long} other Long to multiply with this.
+ * @return {!goog.math.Long} The product of this and the other.
+ */
+goog.math.Long.prototype.multiply = function(other) {
+  if (this.isZero()) {
+    return goog.math.Long.ZERO;
+  } else if (other.isZero()) {
+    return goog.math.Long.ZERO;
+  }
+
+  if (this.equals(goog.math.Long.MIN_VALUE)) {
+    return other.isOdd() ? goog.math.Long.MIN_VALUE : goog.math.Long.ZERO;
+  } else if (other.equals(goog.math.Long.MIN_VALUE)) {
+    return this.isOdd() ? goog.math.Long.MIN_VALUE : goog.math.Long.ZERO;
+  }
+
+  if (this.isNegative()) {
+    if (other.isNegative()) {
+      return this.negate().multiply(other.negate());
+    } else {
+      return this.negate().multiply(other).negate();
+    }
+  } else if (other.isNegative()) {
+    return this.multiply(other.negate()).negate();
+  }
+
+  // If both longs are small, use float multiplication
+  if (this.lessThan(goog.math.Long.TWO_PWR_24_) &&
+      other.lessThan(goog.math.Long.TWO_PWR_24_)) {
+    return goog.math.Long.fromNumber(this.toNumber() * other.toNumber());
+  }
+
+  // Divide each long into 4 chunks of 16 bits, and then add up 4x4 products.
+  // We can skip products that would overflow.
+
+  var a48 = this.high_ >>> 16;
+  var a32 = this.high_ & 0xFFFF;
+  var a16 = this.low_ >>> 16;
+  var a00 = this.low_ & 0xFFFF;
+
+  var b48 = other.high_ >>> 16;
+  var b32 = other.high_ & 0xFFFF;
+  var b16 = other.low_ >>> 16;
+  var b00 = other.low_ & 0xFFFF;
+
+  var c48 = 0, c32 = 0, c16 = 0, c00 = 0;
+  c00 += a00 * b00;
+  c16 += c00 >>> 16;
+  c00 &= 0xFFFF;
+  c16 += a16 * b00;
+  c32 += c16 >>> 16;
+  c16 &= 0xFFFF;
+  c16 += a00 * b16;
+  c32 += c16 >>> 16;
+  c16 &= 0xFFFF;
+  c32 += a32 * b00;
+  c48 += c32 >>> 16;
+  c32 &= 0xFFFF;
+  c32 += a16 * b16;
+  c48 += c32 >>> 16;
+  c32 &= 0xFFFF;
+  c32 += a00 * b32;
+  c48 += c32 >>> 16;
+  c32 &= 0xFFFF;
+  c48 += a48 * b00 + a32 * b16 + a16 * b32 + a00 * b48;
+  c48 &= 0xFFFF;
+  return goog.math.Long.fromBits((c16 << 16) | c00, (c48 << 16) | c32);
+};
+
+
+/**
+ * Returns this Long divided by the given one.
+ * @param {goog.math.Long} other Long by which to divide.
+ * @return {!goog.math.Long} This Long divided by the given one.
+ */
+goog.math.Long.prototype.div = function(other) {
+  if (other.isZero()) {
+    throw Error('division by zero');
+  } else if (this.isZero()) {
+    return goog.math.Long.ZERO;
+  }
+
+  if (this.equals(goog.math.Long.MIN_VALUE)) {
+    if (other.equals(goog.math.Long.ONE) ||
+        other.equals(goog.math.Long.NEG_ONE)) {
+      return goog.math.Long.MIN_VALUE;  // recall that -MIN_VALUE == MIN_VALUE
+    } else if (other.equals(goog.math.Long.MIN_VALUE)) {
+      return goog.math.Long.ONE;
+    } else {
+      // At this point, we have |other| >= 2, so |this/other| < |MIN_VALUE|.
+      var halfThis = this.shiftRight(1);
+      var approx = halfThis.div(other).shiftLeft(1);
+      if (approx.equals(goog.math.Long.ZERO)) {
+        return other.isNegative() ? goog.math.Long.ONE : goog.math.Long.NEG_ONE;
+      } else {
+        var rem = this.subtract(other.multiply(approx));
+        var result = approx.add(rem.div(other));
+        return result;
+      }
+    }
+  } else if (other.equals(goog.math.Long.MIN_VALUE)) {
+    return goog.math.Long.ZERO;
+  }
+
+  if (this.isNegative()) {
+    if (other.isNegative()) {
+      return this.negate().div(other.negate());
+    } else {
+      return this.negate().div(other).negate();
+    }
+  } else if (other.isNegative()) {
+    return this.div(other.negate()).negate();
+  }
+
+  // Repeat the following until the remainder is less than other:  find a
+  // floating-point that approximates remainder / other *from below*, add this
+  // into the result, and subtract it from the remainder.  It is critical that
+  // the approximate value is less than or equal to the real value so that the
+  // remainder never becomes negative.
+  var res = goog.math.Long.ZERO;
+  var rem = this;
+  while (rem.greaterThanOrEqual(other)) {
+    // Approximate the result of division. This may be a little greater or
+    // smaller than the actual value.
+    var approx = Math.max(1, Math.floor(rem.toNumber() / other.toNumber()));
+
+    // We will tweak the approximate result by changing it in the 48-th digit or
+    // the smallest non-fractional digit, whichever is larger.
+    var log2 = Math.ceil(Math.log(approx) / Math.LN2);
+    var delta = (log2 <= 48) ? 1 : Math.pow(2, log2 - 48);
+
+    // Decrease the approximation until it is smaller than the remainder.  Note
+    // that if it is too large, the product overflows and is negative.
+    var approxRes = goog.math.Long.fromNumber(approx);
+    var approxRem = approxRes.multiply(other);
+    while (approxRem.isNegative() || approxRem.greaterThan(rem)) {
+      approx -= delta;
+      approxRes = goog.math.Long.fromNumber(approx);
+      approxRem = approxRes.multiply(other);
+    }
+
+    // We know the answer can't be zero... and actually, zero would cause
+    // infinite recursion since we would make no progress.
+    if (approxRes.isZero()) {
+      approxRes = goog.math.Long.ONE;
+    }
+
+    res = res.add(approxRes);
+    rem = rem.subtract(approxRem);
+  }
+  return res;
+};
+
+
+/**
+ * Returns this Long modulo the given one.
+ * @param {goog.math.Long} other Long by which to mod.
+ * @return {!goog.math.Long} This Long modulo the given one.
+ */
+goog.math.Long.prototype.modulo = function(other) {
+  return this.subtract(this.div(other).multiply(other));
+};
+
+
+/** @return {!goog.math.Long} The bitwise-NOT of this value. */
+goog.math.Long.prototype.not = function() {
+  return goog.math.Long.fromBits(~this.low_, ~this.high_);
+};
+
+
+/**
+ * Returns the bitwise-AND of this Long and the given one.
+ * @param {goog.math.Long} other The Long with which to AND.
+ * @return {!goog.math.Long} The bitwise-AND of this and the other.
+ */
+goog.math.Long.prototype.and = function(other) {
+  return goog.math.Long.fromBits(this.low_ & other.low_,
+                                 this.high_ & other.high_);
+};
+
+
+/**
+ * Returns the bitwise-OR of this Long and the given one.
+ * @param {goog.math.Long} other The Long with which to OR.
+ * @return {!goog.math.Long} The bitwise-OR of this and the other.
+ */
+goog.math.Long.prototype.or = function(other) {
+  return goog.math.Long.fromBits(this.low_ | other.low_,
+                                 this.high_ | other.high_);
+};
+
+
+/**
+ * Returns the bitwise-XOR of this Long and the given one.
+ * @param {goog.math.Long} other The Long with which to XOR.
+ * @return {!goog.math.Long} The bitwise-XOR of this and the other.
+ */
+goog.math.Long.prototype.xor = function(other) {
+  return goog.math.Long.fromBits(this.low_ ^ other.low_,
+                                 this.high_ ^ other.high_);
+};
+
+
+/**
+ * Returns this Long with bits shifted to the left by the given amount.
+ * @param {number} numBits The number of bits by which to shift.
+ * @return {!goog.math.Long} This shifted to the left by the given amount.
+ */
+goog.math.Long.prototype.shiftLeft = function(numBits) {
+  numBits &= 63;
+  if (numBits == 0) {
+    return this;
+  } else {
+    var low = this.low_;
+    if (numBits < 32) {
+      var high = this.high_;
+      return goog.math.Long.fromBits(
+          low << numBits,
+          (high << numBits) | (low >>> (32 - numBits)));
+    } else {
+      return goog.math.Long.fromBits(0, low << (numBits - 32));
+    }
+  }
+};
+
+
+/**
+ * Returns this Long with bits shifted to the right by the given amount.
+ * @param {number} numBits The number of bits by which to shift.
+ * @return {!goog.math.Long} This shifted to the right by the given amount.
+ */
+goog.math.Long.prototype.shiftRight = function(numBits) {
+  numBits &= 63;
+  if (numBits == 0) {
+    return this;
+  } else {
+    var high = this.high_;
+    if (numBits < 32) {
+      var low = this.low_;
+      return goog.math.Long.fromBits(
+          (low >>> numBits) | (high << (32 - numBits)),
+          high >> numBits);
+    } else {
+      return goog.math.Long.fromBits(
+          high >> (numBits - 32),
+          high >= 0 ? 0 : -1);
+    }
+  }
+};
+
+
+/**
+ * Returns this Long with bits shifted to the right by the given amount, with
+ * the new top bits matching the current sign bit.
+ * @param {number} numBits The number of bits by which to shift.
+ * @return {!goog.math.Long} This shifted to the right by the given amount, with
+ *     zeros placed into the new leading bits.
+ */
+goog.math.Long.prototype.shiftRightUnsigned = function(numBits) {
+  numBits &= 63;
+  if (numBits == 0) {
+    return this;
+  } else {
+    var high = this.high_;
+    if (numBits < 32) {
+      var low = this.low_;
+      return goog.math.Long.fromBits(
+          (low >>> numBits) | (high << (32 - numBits)),
+          high >>> numBits);
+    } else if (numBits == 32) {
+      return goog.math.Long.fromBits(high, 0);
+    } else {
+      return goog.math.Long.fromBits(high >>> (numBits - 32), 0);
+    }
+  }
+};

gulpfile.js

@@ -49,6 +49,8 @@ gulp.task('copy', function() {
       .pipe(gulp.dest('dist/vendor/console-polyfill')),
     gulp.src('app/js/lib/mtproto.js')
       .pipe(gulp.dest('dist/js/lib')),
+    gulp.src('app/vendor/closure/long.js')
+      .pipe(gulp.dest('dist/vendor/closure')),
     gulp.src('app/vendor/jsbn/jsbn_combined.js')
       .pipe(gulp.dest('dist/vendor/jsbn')),
     gulp.src('app/vendor/cryptoJS/crypto.js')