forked from M3-Academy/challenge-algorithms-v2.0
269 lines
7.9 KiB
JavaScript
269 lines
7.9 KiB
JavaScript
// Int64.js
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//
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// Copyright (c) 2012 Robert Kieffer
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// MIT License - http://opensource.org/licenses/mit-license.php
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/**
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* Support for handling 64-bit int numbers in Javascript (node.js)
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*
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* JS Numbers are IEEE-754 binary double-precision floats, which limits the
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* range of values that can be represented with integer precision to:
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*
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* 2^^53 <= N <= 2^53
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*
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* Int64 objects wrap a node Buffer that holds the 8-bytes of int64 data. These
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* objects operate directly on the buffer which means that if they are created
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* using an existing buffer then setting the value will modify the Buffer, and
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* vice-versa.
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*
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* Internal Representation
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*
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* The internal buffer format is Big Endian. I.e. the most-significant byte is
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* at buffer[0], the least-significant at buffer[7]. For the purposes of
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* converting to/from JS native numbers, the value is assumed to be a signed
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* integer stored in 2's complement form.
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*
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* For details about IEEE-754 see:
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* http://en.wikipedia.org/wiki/Double_precision_floating-point_format
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*/
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// Useful masks and values for bit twiddling
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var MASK31 = 0x7fffffff, VAL31 = 0x80000000;
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var MASK32 = 0xffffffff, VAL32 = 0x100000000;
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// Map for converting hex octets to strings
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var _HEX = [];
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for (var i = 0; i < 256; i++) {
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_HEX[i] = (i > 0xF ? '' : '0') + i.toString(16);
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}
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//
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// Int64
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//
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/**
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* Constructor accepts any of the following argument types:
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*
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* new Int64(buffer[, offset=0]) - Existing Buffer with byte offset
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* new Int64(Uint8Array[, offset=0]) - Existing Uint8Array with a byte offset
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* new Int64(string) - Hex string (throws if n is outside int64 range)
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* new Int64(number) - Number (throws if n is outside int64 range)
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* new Int64(hi, lo) - Raw bits as two 32-bit values
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*/
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var Int64 = module.exports = function(a1, a2) {
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if (a1 instanceof Buffer) {
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this.buffer = a1;
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this.offset = a2 || 0;
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} else if (Object.prototype.toString.call(a1) == '[object Uint8Array]') {
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// Under Browserify, Buffers can extend Uint8Arrays rather than an
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// instance of Buffer. We could assume the passed in Uint8Array is actually
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// a buffer but that won't handle the case where a raw Uint8Array is passed
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// in. We construct a new Buffer just in case.
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this.buffer = new Buffer(a1);
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this.offset = a2 || 0;
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} else {
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this.buffer = this.buffer || new Buffer(8);
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this.offset = 0;
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this.setValue.apply(this, arguments);
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}
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};
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// Max integer value that JS can accurately represent
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Int64.MAX_INT = Math.pow(2, 53);
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// Min integer value that JS can accurately represent
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Int64.MIN_INT = -Math.pow(2, 53);
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Int64.prototype = {
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constructor: Int64,
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/**
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* Do in-place 2's compliment. See
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* http://en.wikipedia.org/wiki/Two's_complement
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*/
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_2scomp: function() {
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var b = this.buffer, o = this.offset, carry = 1;
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for (var i = o + 7; i >= o; i--) {
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var v = (b[i] ^ 0xff) + carry;
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b[i] = v & 0xff;
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carry = v >> 8;
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}
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},
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/**
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* Set the value. Takes any of the following arguments:
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*
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* setValue(string) - A hexidecimal string
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* setValue(number) - Number (throws if n is outside int64 range)
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* setValue(hi, lo) - Raw bits as two 32-bit values
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*/
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setValue: function(hi, lo) {
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var negate = false;
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if (arguments.length == 1) {
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if (typeof(hi) == 'number') {
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// Simplify bitfield retrieval by using abs() value. We restore sign
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// later
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negate = hi < 0;
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hi = Math.abs(hi);
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lo = hi % VAL32;
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hi = hi / VAL32;
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if (hi > VAL32) throw new RangeError(hi + ' is outside Int64 range');
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hi = hi | 0;
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} else if (typeof(hi) == 'string') {
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hi = (hi + '').replace(/^0x/, '');
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lo = hi.substr(-8);
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hi = hi.length > 8 ? hi.substr(0, hi.length - 8) : '';
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hi = parseInt(hi, 16);
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lo = parseInt(lo, 16);
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} else {
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throw new Error(hi + ' must be a Number or String');
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}
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}
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// Technically we should throw if hi or lo is outside int32 range here, but
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// it's not worth the effort. Anything past the 32'nd bit is ignored.
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// Copy bytes to buffer
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var b = this.buffer, o = this.offset;
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for (var i = 7; i >= 0; i--) {
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b[o+i] = lo & 0xff;
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lo = i == 4 ? hi : lo >>> 8;
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}
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// Restore sign of passed argument
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if (negate) this._2scomp();
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},
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/**
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* Convert to a native JS number.
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*
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* WARNING: Do not expect this value to be accurate to integer precision for
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* large (positive or negative) numbers!
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*
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* @param allowImprecise If true, no check is performed to verify the
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* returned value is accurate to integer precision. If false, imprecise
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* numbers (very large positive or negative numbers) will be forced to +/-
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* Infinity.
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*/
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toNumber: function(allowImprecise) {
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var b = this.buffer, o = this.offset;
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// Running sum of octets, doing a 2's complement
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var negate = b[o] & 0x80, x = 0, carry = 1;
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for (var i = 7, m = 1; i >= 0; i--, m *= 256) {
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var v = b[o+i];
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// 2's complement for negative numbers
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if (negate) {
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v = (v ^ 0xff) + carry;
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carry = v >> 8;
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v = v & 0xff;
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}
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x += v * m;
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}
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// Return Infinity if we've lost integer precision
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if (!allowImprecise && x >= Int64.MAX_INT) {
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return negate ? -Infinity : Infinity;
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}
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return negate ? -x : x;
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},
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/**
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* Convert to a JS Number. Returns +/-Infinity for values that can't be
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* represented to integer precision.
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*/
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valueOf: function() {
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return this.toNumber(false);
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},
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/**
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* Return string value
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*
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* @param radix Just like Number#toString()'s radix
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*/
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toString: function(radix) {
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return this.valueOf().toString(radix || 10);
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},
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/**
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* Return a string showing the buffer octets, with MSB on the left.
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*
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* @param sep separator string. default is '' (empty string)
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*/
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toOctetString: function(sep) {
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var out = new Array(8);
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var b = this.buffer, o = this.offset;
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for (var i = 0; i < 8; i++) {
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out[i] = _HEX[b[o+i]];
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}
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return out.join(sep || '');
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},
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/**
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* Returns the int64's 8 bytes in a buffer.
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*
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* @param {bool} [rawBuffer=false] If no offset and this is true, return the internal buffer. Should only be used if
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* you're discarding the Int64 afterwards, as it breaks encapsulation.
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*/
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toBuffer: function(rawBuffer) {
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if (rawBuffer && this.offset === 0) return this.buffer;
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var out = new Buffer(8);
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this.buffer.copy(out, 0, this.offset, this.offset + 8);
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return out;
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},
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/**
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* Copy 8 bytes of int64 into target buffer at target offset.
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*
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* @param {Buffer} targetBuffer Buffer to copy into.
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* @param {number} [targetOffset=0] Offset into target buffer.
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*/
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copy: function(targetBuffer, targetOffset) {
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this.buffer.copy(targetBuffer, targetOffset || 0, this.offset, this.offset + 8);
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},
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/**
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* Returns a number indicating whether this comes before or after or is the
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* same as the other in sort order.
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*
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* @param {Int64} other Other Int64 to compare.
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*/
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compare: function(other) {
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// If sign bits differ ...
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if ((this.buffer[this.offset] & 0x80) != (other.buffer[other.offset] & 0x80)) {
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return other.buffer[other.offset] - this.buffer[this.offset];
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}
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// otherwise, compare bytes lexicographically
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for (var i = 0; i < 8; i++) {
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if (this.buffer[this.offset+i] !== other.buffer[other.offset+i]) {
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return this.buffer[this.offset+i] - other.buffer[other.offset+i];
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}
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}
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return 0;
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},
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/**
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* Returns a boolean indicating if this integer is equal to other.
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*
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* @param {Int64} other Other Int64 to compare.
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*/
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equals: function(other) {
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return this.compare(other) === 0;
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},
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/**
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* Pretty output in console.log
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*/
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inspect: function() {
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return '[Int64 value:' + this + ' octets:' + this.toOctetString(' ') + ']';
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}
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};
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