/*
 Copyright 2013 Daniel Wirtz <dcode@dcode.io>
 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.
 */

/**
 * @license Long.js (c) 2013 Daniel Wirtz <dcode@dcode.io>
 * Released under the Apache License, Version 2.0
 * see: https://github.com/dcodeIO/Long.js for details
 */
(function(global, factory) {

    /* AMD */ if (typeof define === 'function' && define["amd"])
        define([], factory);
    /* CommonJS */ else if (typeof require === 'function' && typeof module === "object" && module && module["exports"])
        module["exports"] = factory();
    /* Global */ else
        (global["dcodeIO"] = global["dcodeIO"] || {})["Long"] = factory();

})(this, function() {
    "use strict";

    /**
     * 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.
     * @exports Long
     * @class A Long class for representing a 64 bit two's-complement integer value.
     * @param {number} low The low (signed) 32 bits of the long
     * @param {number} high The high (signed) 32 bits of the long
     * @param {boolean=} unsigned Whether unsigned or not, defaults to `false` for signed
     * @constructor
     */
    function Long(low, high, unsigned) {

        /**
         * The low 32 bits as a signed value.
         * @type {number}
         * @expose
         */
        this.low = low|0;

        /**
         * The high 32 bits as a signed value.
         * @type {number}
         * @expose
         */
        this.high = high|0;

        /**
         * Whether unsigned or not.
         * @type {boolean}
         * @expose
         */
        this.unsigned = !!unsigned;
    }

    // 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.
    //
    // Common constant values ZERO, ONE, NEG_ONE, etc. are defined below the from*
    // methods on which they depend.

    /**
     * An indicator used to reliably determine if an object is a Long or not.
     * @type {boolean}
     * @const
     * @expose
     * @private
     */
    Long.__isLong__;

    Object.defineProperty(Long.prototype, "__isLong__", {
        value: true,
        enumerable: false,
        configurable: false
    });

    /**
     * Tests if the specified object is a Long.
     * @param {*} obj Object
     * @returns {boolean}
     * @expose
     */
    Long.isLong = function isLong(obj) {
        return (obj && obj["__isLong__"]) === true;
    };

    /**
     * A cache of the Long representations of small integer values.
     * @type {!Object}
     * @inner
     */
    var INT_CACHE = {};

    /**
     * A cache of the Long representations of small unsigned integer values.
     * @type {!Object}
     * @inner
     */
    var UINT_CACHE = {};

    /**
     * Returns a Long representing the given 32 bit integer value.
     * @param {number} value The 32 bit integer in question
     * @param {boolean=} unsigned Whether unsigned or not, defaults to `false` for signed
     * @returns {!Long} The corresponding Long value
     * @expose
     */
    Long.fromInt = function fromInt(value, unsigned) {
        var obj, cachedObj;
        if (!unsigned) {
            value = value | 0;
            if (-128 <= value && value < 128) {
                cachedObj = INT_CACHE[value];
                if (cachedObj)
                    return cachedObj;
            }
            obj = new Long(value, value < 0 ? -1 : 0, false);
            if (-128 <= value && value < 128)
                INT_CACHE[value] = obj;
            return obj;
        } else {
            value = value >>> 0;
            if (0 <= value && value < 256) {
                cachedObj = UINT_CACHE[value];
                if (cachedObj)
                    return cachedObj;
            }
            obj = new Long(value, (value | 0) < 0 ? -1 : 0, true);
            if (0 <= value && value < 256)
                UINT_CACHE[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
     * @param {boolean=} unsigned Whether unsigned or not, defaults to `false` for signed
     * @returns {!Long} The corresponding Long value
     * @expose
     */
    Long.fromNumber = function fromNumber(value, unsigned) {
        unsigned = !!unsigned;
        if (isNaN(value) || !isFinite(value))
            return Long.ZERO;
        if (!unsigned && value <= -TWO_PWR_63_DBL)
            return Long.MIN_VALUE;
        if (!unsigned && value + 1 >= TWO_PWR_63_DBL)
            return Long.MAX_VALUE;
        if (unsigned && value >= TWO_PWR_64_DBL)
            return Long.MAX_UNSIGNED_VALUE;
        if (value < 0)
            return Long.fromNumber(-value, unsigned).negate();
        return new Long((value % TWO_PWR_32_DBL) | 0, (value / TWO_PWR_32_DBL) | 0, unsigned);
    };

    /**
     * Returns a Long representing the 64 bit integer that comes by concatenating the given low and high bits. Each is
     *  assumed to use 32 bits.
     * @param {number} lowBits The low 32 bits
     * @param {number} highBits The high 32 bits
     * @param {boolean=} unsigned Whether unsigned or not, defaults to `false` for signed
     * @returns {!Long} The corresponding Long value
     * @expose
     */
    Long.fromBits = function fromBits(lowBits, highBits, unsigned) {
        return new Long(lowBits, highBits, unsigned);
    };

    /**
     * Returns a Long representation of the given string, written using the specified radix.
     * @param {string} str The textual representation of the Long
     * @param {(boolean|number)=} unsigned Whether unsigned or not, defaults to `false` for signed
     * @param {number=} radix The radix in which the text is written (2-36), defaults to 10
     * @returns {!Long} The corresponding Long value
     * @expose
     */
    Long.fromString = function fromString(str, unsigned, radix) {
        if (str.length === 0)
            throw Error('number format error: empty string');
        if (str === "NaN" || str === "Infinity" || str === "+Infinity" || str === "-Infinity")
            return Long.ZERO;
        if (typeof unsigned === 'number') // For goog.math.long compatibility
            radix = unsigned,
            unsigned = false;
        radix = radix || 10;
        if (radix < 2 || 36 < radix)
            throw Error('radix out of range: ' + radix);

        var p;
        if ((p = str.indexOf('-')) > 0)
            throw Error('number format error: interior "-" character: ' + str);
        else if (p === 0)
            return Long.fromString(str.substring(1), unsigned, radix).negate();

        // Do several (8) digits each time through the loop, so as to
        // minimize the calls to the very expensive emulated div.
        var radixToPower = Long.fromNumber(Math.pow(radix, 8));

        var result = 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 = Long.fromNumber(Math.pow(radix, size));
                result = result.multiply(power).add(Long.fromNumber(value));
            } else {
                result = result.multiply(radixToPower);
                result = result.add(Long.fromNumber(value));
            }
        }
        result.unsigned = unsigned;
        return result;
    };

    /**
     * Converts the specified value to a Long.
     * @param {!Long|number|string|!{low: number, high: number, unsigned: boolean}} val Value
     * @returns {!Long}
     * @expose
     */
    Long.fromValue = function fromValue(val) {
        if (val /* is compatible */ instanceof Long)
            return val;
        if (typeof val === 'number')
            return Long.fromNumber(val);
        if (typeof val === 'string')
            return Long.fromString(val);
        // Throws for non-objects, converts non-instanceof Long:
        return new Long(val.low, val.high, val.unsigned);
    };

    // NOTE: the compiler should inline these constant values below and then remove these variables, so there should be
    // no runtime penalty for these.

    /**
     * @type {number}
     * @const
     * @inner
     */
    var TWO_PWR_16_DBL = 1 << 16;

    /**
     * @type {number}
     * @const
     * @inner
     */
    var TWO_PWR_24_DBL = 1 << 24;

    /**
     * @type {number}
     * @const
     * @inner
     */
    var TWO_PWR_32_DBL = TWO_PWR_16_DBL * TWO_PWR_16_DBL;

    /**
     * @type {number}
     * @const
     * @inner
     */
    var TWO_PWR_64_DBL = TWO_PWR_32_DBL * TWO_PWR_32_DBL;

    /**
     * @type {number}
     * @const
     * @inner
     */
    var TWO_PWR_63_DBL = TWO_PWR_64_DBL / 2;

    /**
     * @type {!Long}
     * @const
     * @inner
     */
    var TWO_PWR_24 = Long.fromInt(TWO_PWR_24_DBL);

    /**
     * Signed zero.
     * @type {!Long}
     * @expose
     */
    Long.ZERO = Long.fromInt(0);

    /**
     * Unsigned zero.
     * @type {!Long}
     * @expose
     */
    Long.UZERO = Long.fromInt(0, true);

    /**
     * Signed one.
     * @type {!Long}
     * @expose
     */
    Long.ONE = Long.fromInt(1);

    /**
     * Unsigned one.
     * @type {!Long}
     * @expose
     */
    Long.UONE = Long.fromInt(1, true);

    /**
     * Signed negative one.
     * @type {!Long}
     * @expose
     */
    Long.NEG_ONE = Long.fromInt(-1);

    /**
     * Maximum signed value.
     * @type {!Long}
     * @expose
     */
    Long.MAX_VALUE = Long.fromBits(0xFFFFFFFF|0, 0x7FFFFFFF|0, false);

    /**
     * Maximum unsigned value.
     * @type {!Long}
     * @expose
     */
    Long.MAX_UNSIGNED_VALUE = Long.fromBits(0xFFFFFFFF|0, 0xFFFFFFFF|0, true);

    /**
     * Minimum signed value.
     * @type {!Long}
     * @expose
     */
    Long.MIN_VALUE = Long.fromBits(0, 0x80000000|0, false);

    /**
     * Converts the Long to a 32 bit integer, assuming it is a 32 bit integer.
     * @returns {number}
     * @expose
     */
    Long.prototype.toInt = function toInt() {
        return this.unsigned ? this.low >>> 0 : this.low;
    };

    /**
     * Converts the Long to a the nearest floating-point representation of this value (double, 53 bit mantissa).
     * @returns {number}
     * @expose
     */
    Long.prototype.toNumber = function toNumber() {
        if (this.unsigned) {
            return ((this.high >>> 0) * TWO_PWR_32_DBL) + (this.low >>> 0);
        }
        return this.high * TWO_PWR_32_DBL + (this.low >>> 0);
    };

    /**
     * Converts the Long to a string written in the specified radix.
     * @param {number=} radix Radix (2-36), defaults to 10
     * @returns {string}
     * @override
     * @throws {RangeError} If `radix` is out of range
     * @expose
     */
    Long.prototype.toString = function toString(radix) {
        radix = radix || 10;
        if (radix < 2 || 36 < radix)
            throw RangeError('radix out of range: ' + radix);
        if (this.isZero())
            return '0';
        var rem;
        if (this.isNegative()) { // Unsigned Longs are never negative
            if (this.equals(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 = Long.fromNumber(radix);
                var div = this.divide(radixLong);
                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 = Long.fromNumber(Math.pow(radix, 6), this.unsigned);
        rem = this;
        var result = '';
        while (true) {
            var remDiv = rem.divide(radixToPower),
                intval = rem.subtract(remDiv.multiply(radixToPower)).toInt() >>> 0,
                digits = intval.toString(radix);
            rem = remDiv;
            if (rem.isZero())
                return digits + result;
            else {
                while (digits.length < 6)
                    digits = '0' + digits;
                result = '' + digits + result;
            }
        }
    };

    /**
     * Gets the high 32 bits as a signed integer.
     * @returns {number} Signed high bits
     * @expose
     */
    Long.prototype.getHighBits = function getHighBits() {
        return this.high;
    };

    /**
     * Gets the high 32 bits as an unsigned integer.
     * @returns {number} Unsigned high bits
     * @expose
     */
    Long.prototype.getHighBitsUnsigned = function getHighBitsUnsigned() {
        return this.high >>> 0;
    };

    /**
     * Gets the low 32 bits as a signed integer.
     * @returns {number} Signed low bits
     * @expose
     */
    Long.prototype.getLowBits = function getLowBits() {
        return this.low;
    };

    /**
     * Gets the low 32 bits as an unsigned integer.
     * @returns {number} Unsigned low bits
     * @expose
     */
    Long.prototype.getLowBitsUnsigned = function getLowBitsUnsigned() {
        return this.low >>> 0;
    };

    /**
     * Gets the number of bits needed to represent the absolute value of this Long.
     * @returns {number}
     * @expose
     */
    Long.prototype.getNumBitsAbs = function getNumBitsAbs() {
        if (this.isNegative()) // Unsigned Longs are never negative
            return this.equals(Long.MIN_VALUE) ? 64 : this.negate().getNumBitsAbs();
        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;
    };

    /**
     * Tests if this Long's value equals zero.
     * @returns {boolean}
     * @expose
     */
    Long.prototype.isZero = function isZero() {
        return this.high === 0 && this.low === 0;
    };

    /**
     * Tests if this Long's value is negative.
     * @returns {boolean}
     * @expose
     */
    Long.prototype.isNegative = function isNegative() {
        return !this.unsigned && this.high < 0;
    };

    /**
     * Tests if this Long's value is positive.
     * @returns {boolean}
     * @expose
     */
    Long.prototype.isPositive = function isPositive() {
        return this.unsigned || this.high >= 0;
    };

    /**
     * Tests if this Long's value is odd.
     * @returns {boolean}
     * @expose
     */
    Long.prototype.isOdd = function isOdd() {
        return (this.low & 1) === 1;
    };

    /**
     * Tests if this Long's value is even.
     * @returns {boolean}
     * @expose
     */
    Long.prototype.isEven = function isEven() {
        return (this.low & 1) === 0;
    };

    /**
     * Tests if this Long's value equals the specified's.
     * @param {!Long|number|string} other Other value
     * @returns {boolean}
     * @expose
     */
    Long.prototype.equals = function equals(other) {
        if (!Long.isLong(other))
            other = Long.fromValue(other);
        if (this.unsigned !== other.unsigned && (this.high >>> 31) === 1 && (other.high >>> 31) === 1)
            return false;
        return this.high === other.high && this.low === other.low;
    };

    /**
     * Tests if this Long's value equals the specified's. This is an alias of {@link Long#equals}.
     * @function
     * @param {!Long|number|string} other Other value
     * @returns {boolean}
     * @expose
     */
    Long.eq = Long.prototype.equals;

    /**
     * Tests if this Long's value differs from the specified's.
     * @param {!Long|number|string} other Other value
     * @returns {boolean}
     * @expose
     */
    Long.prototype.notEquals = function notEquals(other) {
        return !this.equals(/* validates */ other);
    };

    /**
     * Tests if this Long's value differs from the specified's. This is an alias of {@link Long#notEquals}.
     * @function
     * @param {!Long|number|string} other Other value
     * @returns {boolean}
     * @expose
     */
    Long.neq = Long.prototype.notEquals;

    /**
     * Tests if this Long's value is less than the specified's.
     * @param {!Long|number|string} other Other value
     * @returns {boolean}
     * @expose
     */
    Long.prototype.lessThan = function lessThan(other) {
        return this.compare(/* validates */ other) < 0;
    };

    /**
     * Tests if this Long's value is less than the specified's. This is an alias of {@link Long#lessThan}.
     * @function
     * @param {!Long|number|string} other Other value
     * @returns {boolean}
     * @expose
     */
    Long.prototype.lt = Long.prototype.lessThan;

    /**
     * Tests if this Long's value is less than or equal the specified's.
     * @param {!Long|number|string} other Other value
     * @returns {boolean}
     * @expose
     */
    Long.prototype.lessThanOrEqual = function lessThanOrEqual(other) {
        return this.compare(/* validates */ other) <= 0;
    };

    /**
     * Tests if this Long's value is less than or equal the specified's. This is an alias of {@link Long#lessThanOrEqual}.
     * @function
     * @param {!Long|number|string} other Other value
     * @returns {boolean}
     * @expose
     */
    Long.prototype.lte = Long.prototype.lessThanOrEqual;

    /**
     * Tests if this Long's value is greater than the specified's.
     * @param {!Long|number|string} other Other value
     * @returns {boolean}
     * @expose
     */
    Long.prototype.greaterThan = function greaterThan(other) {
        return this.compare(/* validates */ other) > 0;
    };

    /**
     * Tests if this Long's value is greater than the specified's. This is an alias of {@link Long#greaterThan}.
     * @function
     * @param {!Long|number|string} other Other value
     * @returns {boolean}
     * @expose
     */
    Long.prototype.gt = Long.prototype.greaterThan;

    /**
     * Tests if this Long's value is greater than or equal the specified's.
     * @param {!Long|number|string} other Other value
     * @returns {boolean}
     * @expose
     */
    Long.prototype.greaterThanOrEqual = function greaterThanOrEqual(other) {
        return this.compare(/* validates */ other) >= 0;
    };

    /**
     * Tests if this Long's value is greater than or equal the specified's. This is an alias of {@link Long#greaterThanOrEqual}.
     * @function
     * @param {!Long|number|string} other Other value
     * @returns {boolean}
     * @expose
     */
    Long.prototype.gte = Long.prototype.greaterThanOrEqual;

    /**
     * Compares this Long's value with the specified's.
     * @param {!Long|number|string} other Other value
     * @returns {number} 0 if they are the same, 1 if the this is greater and -1
     *  if the given one is greater
     * @expose
     */
    Long.prototype.compare = function compare(other) {
        if (!Long.isLong(other))
            other = Long.fromValue(other);
        if (this.equals(other))
            return 0;
        var thisNeg = this.isNegative(),
            otherNeg = other.isNegative();
        if (thisNeg && !otherNeg)
            return -1;
        if (!thisNeg && otherNeg)
            return 1;
        // At this point the sign bits are the same
        if (!this.unsigned)
            return this.subtract(other).isNegative() ? -1 : 1;
        // Both are positive if at least one is unsigned
        return (other.high >>> 0) > (this.high >>> 0) || (other.high === this.high && (other.low >>> 0) > (this.low >>> 0)) ? -1 : 1;
    };

    /**
     * Negates this Long's value.
     * @returns {!Long} Negated Long
     * @expose
     */
    Long.prototype.negate = function negate() {
        if (!this.unsigned && this.equals(Long.MIN_VALUE))
            return Long.MIN_VALUE;
        return this.not().add(Long.ONE);
    };

    /**
     * Negates this Long's value. This is an alias of {@link Long#negate}.
     * @function
     * @returns {!Long} Negated Long
     * @expose
     */
    Long.prototype.neg = Long.prototype.negate;

    /**
     * Returns the sum of this and the specified Long.
     * @param {!Long|number|string} addend Addend
     * @returns {!Long} Sum
     * @expose
     */
    Long.prototype.add = function add(addend) {
        if (!Long.isLong(addend))
            addend = Long.fromValue(addend);

        // 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 = addend.high >>> 16;
        var b32 = addend.high & 0xFFFF;
        var b16 = addend.low >>> 16;
        var b00 = addend.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 Long.fromBits((c16 << 16) | c00, (c48 << 16) | c32, this.unsigned);
    };

    /**
     * Returns the difference of this and the specified Long.
     * @param {!Long|number|string} subtrahend Subtrahend
     * @returns {!Long} Difference
     * @expose
     */
    Long.prototype.subtract = function subtract(subtrahend) {
        if (!Long.isLong(subtrahend))
            subtrahend = Long.fromValue(subtrahend);
        return this.add(subtrahend.negate());
    };

    /**
     * Returns the difference of this and the specified Long. This is an alias of {@link Long#subtract}.
     * @function
     * @param {!Long|number|string} subtrahend Subtrahend
     * @returns {!Long} Difference
     * @expose
     */
    Long.prototype.sub = Long.prototype.subtract;

    /**
     * Returns the product of this and the specified Long.
     * @param {!Long|number|string} multiplier Multiplier
     * @returns {!Long} Product
     * @expose
     */
    Long.prototype.multiply = function multiply(multiplier) {
        if (this.isZero())
            return Long.ZERO;
        if (!Long.isLong(multiplier))
            multiplier = Long.fromValue(multiplier);
        if (multiplier.isZero())
            return Long.ZERO;
        if (this.equals(Long.MIN_VALUE))
            return multiplier.isOdd() ? Long.MIN_VALUE : Long.ZERO;
        if (multiplier.equals(Long.MIN_VALUE))
            return this.isOdd() ? Long.MIN_VALUE : Long.ZERO;

        if (this.isNegative()) {
            if (multiplier.isNegative())
                return this.negate().multiply(multiplier.negate());
            else
                return this.negate().multiply(multiplier).negate();
        } else if (multiplier.isNegative())
            return this.multiply(multiplier.negate()).negate();

        // If both longs are small, use float multiplication
        if (this.lessThan(TWO_PWR_24) && multiplier.lessThan(TWO_PWR_24))
            return Long.fromNumber(this.toNumber() * multiplier.toNumber(), this.unsigned);

        // 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 = multiplier.high >>> 16;
        var b32 = multiplier.high & 0xFFFF;
        var b16 = multiplier.low >>> 16;
        var b00 = multiplier.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 Long.fromBits((c16 << 16) | c00, (c48 << 16) | c32, this.unsigned);
    };

    /**
     * Returns the product of this and the specified Long. This is an alias of {@link Long#multiply}.
     * @function
     * @param {!Long|number|string} multiplier Multiplier
     * @returns {!Long} Product
     * @expose
     */
    Long.prototype.mul = Long.prototype.multiply;

    /**
     * Returns this Long divided by the specified.
     * @param {!Long|number|string} divisor Divisor
     * @returns {!Long} Quotient
     * @expose
     */
    Long.prototype.divide = function divide(divisor) {
        if (!Long.isLong(divisor))
            divisor = Long.fromValue(divisor);
        if (divisor.isZero())
            throw(new Error('division by zero'));
        if (this.isZero())
            return this.unsigned ? Long.UZERO : Long.ZERO;
        var approx, rem, res;
        if (this.equals(Long.MIN_VALUE)) {
            if (divisor.equals(Long.ONE) || divisor.equals(Long.NEG_ONE))
                return Long.MIN_VALUE;  // recall that -MIN_VALUE == MIN_VALUE
            else if (divisor.equals(Long.MIN_VALUE))
                return Long.ONE;
            else {
                // At this point, we have |other| >= 2, so |this/other| < |MIN_VALUE|.
                var halfThis = this.shiftRight(1);
                approx = halfThis.divide(divisor).shiftLeft(1);
                if (approx.equals(Long.ZERO)) {
                    return divisor.isNegative() ? Long.ONE : Long.NEG_ONE;
                } else {
                    rem = this.subtract(divisor.multiply(approx));
                    res = approx.add(rem.divide(divisor));
                    return res;
                }
            }
        } else if (divisor.equals(Long.MIN_VALUE))
            return this.unsigned ? Long.UZERO : Long.ZERO;
        if (this.isNegative()) {
            if (divisor.isNegative())
                return this.negate().divide(divisor.negate());
            return this.negate().divide(divisor).negate();
        } else if (divisor.isNegative())
            return this.divide(divisor.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.
        res = Long.ZERO;
        rem = this;
        while (rem.greaterThanOrEqual(divisor)) {
            // Approximate the result of division. This may be a little greater or
            // smaller than the actual value.
            approx = Math.max(1, Math.floor(rem.toNumber() / divisor.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),
                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.
                approxRes = Long.fromNumber(approx),
                approxRem = approxRes.multiply(divisor);
            while (approxRem.isNegative() || approxRem.greaterThan(rem)) {
                approx -= delta;
                approxRes = Long.fromNumber(approx, this.unsigned);
                approxRem = approxRes.multiply(divisor);
            }

            // 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 = Long.ONE;

            res = res.add(approxRes);
            rem = rem.subtract(approxRem);
        }
        return res;
    };

    /**
     * Returns this Long divided by the specified. This is an alias of {@link Long#divide}.
     * @function
     * @param {!Long|number|string} divisor Divisor
     * @returns {!Long} Quotient
     * @expose
     */
    Long.prototype.div = Long.prototype.divide;

    /**
     * Returns this Long modulo the specified.
     * @param {!Long|number|string} divisor Divisor
     * @returns {!Long} Remainder
     * @expose
     */
    Long.prototype.modulo = function modulo(divisor) {
        if (!Long.isLong(divisor))
            divisor = Long.fromValue(divisor);
        return this.subtract(this.divide(divisor).multiply(divisor));
    };

    /**
     * Returns this Long modulo the specified. This is an alias of {@link Long#modulo}.
     * @function
     * @param {!Long|number|string} divisor Divisor
     * @returns {!Long} Remainder
     * @expose
     */
    Long.prototype.mod = Long.prototype.modulo;

    /**
     * Returns the bitwise NOT of this Long.
     * @returns {!Long}
     * @expose
     */
    Long.prototype.not = function not() {
        return Long.fromBits(~this.low, ~this.high, this.unsigned);
    };

    /**
     * Returns the bitwise AND of this Long and the specified.
     * @param {!Long|number|string} other Other Long
     * @returns {!Long}
     * @expose
     */
    Long.prototype.and = function and(other) {
        if (!Long.isLong(other))
            other = Long.fromValue(other);
        return Long.fromBits(this.low & other.low, this.high & other.high, this.unsigned);
    };

    /**
     * Returns the bitwise OR of this Long and the specified.
     * @param {!Long|number|string} other Other Long
     * @returns {!Long}
     * @expose
     */
    Long.prototype.or = function or(other) {
        if (!Long.isLong(other))
            other = Long.fromValue(other);
        return Long.fromBits(this.low | other.low, this.high | other.high, this.unsigned);
    };

    /**
     * Returns the bitwise XOR of this Long and the given one.
     * @param {!Long|number|string} other Other Long
     * @returns {!Long}
     * @expose
     */
    Long.prototype.xor = function xor(other) {
        if (!Long.isLong(other))
            other = Long.fromValue(other);
        return Long.fromBits(this.low ^ other.low, this.high ^ other.high, this.unsigned);
    };

    /**
     * Returns this Long with bits shifted to the left by the given amount.
     * @param {number|!Long} numBits Number of bits
     * @returns {!Long} Shifted Long
     * @expose
     */
    Long.prototype.shiftLeft = function shiftLeft(numBits) {
        if (Long.isLong(numBits))
            numBits = numBits.toInt();
        if ((numBits &= 63) === 0)
            return this;
        else if (numBits < 32)
            return Long.fromBits(this.low << numBits, (this.high << numBits) | (this.low >>> (32 - numBits)), this.unsigned);
        else
            return Long.fromBits(0, this.low << (numBits - 32), this.unsigned);
    };

    /**
     * Returns this Long with bits shifted to the left by the given amount. This is an alias of {@link Long#shiftLeft}.
     * @function
     * @param {number|!Long} numBits Number of bits
     * @returns {!Long} Shifted Long
     * @expose
     */
    Long.prototype.shl = Long.prototype.shiftLeft;

    /**
     * Returns this Long with bits arithmetically shifted to the right by the given amount.
     * @param {number|!Long} numBits Number of bits
     * @returns {!Long} Shifted Long
     * @expose
     */
    Long.prototype.shiftRight = function shiftRight(numBits) {
        if (Long.isLong(numBits))
            numBits = numBits.toInt();
        if ((numBits &= 63) === 0)
            return this;
        else if (numBits < 32)
            return Long.fromBits((this.low >>> numBits) | (this.high << (32 - numBits)), this.high >> numBits, this.unsigned);
        else
            return Long.fromBits(this.high >> (numBits - 32), this.high >= 0 ? 0 : -1, this.unsigned);
    };

    /**
     * Returns this Long with bits arithmetically shifted to the right by the given amount. This is an alias of {@link Long#shiftRight}.
     * @function
     * @param {number|!Long} numBits Number of bits
     * @returns {!Long} Shifted Long
     * @expose
     */
    Long.prototype.shr = Long.prototype.shiftRight;

    /**
     * Returns this Long with bits logically shifted to the right by the given amount.
     * @param {number|!Long} numBits Number of bits
     * @returns {!Long} Shifted Long
     * @expose
     */
    Long.prototype.shiftRightUnsigned = function shiftRightUnsigned(numBits) {
        if (Long.isLong(numBits))
            numBits = numBits.toInt();
        numBits &= 63;
        if (numBits === 0)
            return this;
        else {
            var high = this.high;
            if (numBits < 32) {
                var low = this.low;
                return Long.fromBits((low >>> numBits) | (high << (32 - numBits)), high >>> numBits, this.unsigned);
            } else if (numBits === 32)
                return Long.fromBits(high, 0, this.unsigned);
            else
                return Long.fromBits(high >>> (numBits - 32), 0, this.unsigned);
        }
    };

    /**
     * Returns this Long with bits logically shifted to the right by the given amount. This is an alias of {@link Long#shiftRightUnsigned}.
     * @function
     * @param {number|!Long} numBits Number of bits
     * @returns {!Long} Shifted Long
     * @expose
     */
    Long.prototype.shru = Long.prototype.shiftRightUnsigned;

    /**
     * Converts this Long to signed.
     * @returns {!Long} Signed long
     * @expose
     */
    Long.prototype.toSigned = function toSigned() {
        if (!this.unsigned)
            return this;
        return new Long(this.low, this.high, false);
    };

    /**
     * Converts this Long to unsigned.
     * @returns {!Long} Unsigned long
     * @expose
     */
    Long.prototype.toUnsigned = function toUnsigned() {
        if (this.unsigned)
            return this;
        return new Long(this.low, this.high, true);
    };

    return Long;
});
