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380 lines
7.5 KiB
380 lines
7.5 KiB
/**
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* Mnemonist BitSet
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* =================
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*
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* JavaScript implementation of a fixed-size BitSet based upon a Uint32Array.
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*
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* Notes:
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* - (i >> 5) is the same as ((i / 32) | 0)
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* - (i & 0x0000001f) is the same as (i % 32)
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* - I could use a Float64Array to store more in less blocks but I would lose
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* the benefits of byte comparison to keep track of size without popcounts.
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*/
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var Iterator = require('obliterator/iterator'),
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bitwise = require('./utils/bitwise.js');
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/**
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* BitSet.
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*
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* @constructor
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*/
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function BitSet(length) {
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// Properties
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this.length = length;
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this.clear();
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// Methods
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// Statics
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}
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/**
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* Method used to clear the bit set.
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*
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* @return {undefined}
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*/
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BitSet.prototype.clear = function() {
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// Properties
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this.size = 0;
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this.array = new Uint32Array(Math.ceil(this.length / 32));
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};
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/**
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* Method used to set the given bit's value.
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*
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* @param {number} index - Target bit index.
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* @param {number} value - Value to set.
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* @return {BitSet}
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*/
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BitSet.prototype.set = function(index, value) {
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var byteIndex = index >> 5,
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pos = index & 0x0000001f,
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oldBytes = this.array[byteIndex],
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newBytes;
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if (value === 0 || value === false)
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newBytes = this.array[byteIndex] &= ~(1 << pos);
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else
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newBytes = this.array[byteIndex] |= (1 << pos);
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// The operands of all bitwise operators are converted to *signed* 32-bit integers.
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// Source: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Operators/Bitwise_Operators#Signed_32-bit_integers
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// Shifting by 31 changes the sign (i.e. 1 << 31 = -2147483648).
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// Therefore, get unsigned representation by applying '>>> 0'.
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newBytes = newBytes >>> 0;
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// Updating size
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if (newBytes > oldBytes)
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this.size++;
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else if (newBytes < oldBytes)
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this.size--;
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return this;
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};
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/**
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* Method used to reset the given bit's value.
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*
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* @param {number} index - Target bit index.
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* @return {BitSet}
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*/
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BitSet.prototype.reset = function(index) {
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var byteIndex = index >> 5,
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pos = index & 0x0000001f,
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oldBytes = this.array[byteIndex],
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newBytes;
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newBytes = this.array[byteIndex] &= ~(1 << pos);
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// Updating size
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if (newBytes < oldBytes)
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this.size--;
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return this;
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};
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/**
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* Method used to flip the value of the given bit.
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*
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* @param {number} index - Target bit index.
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* @return {BitSet}
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*/
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BitSet.prototype.flip = function(index) {
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var byteIndex = index >> 5,
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pos = index & 0x0000001f,
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oldBytes = this.array[byteIndex];
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var newBytes = this.array[byteIndex] ^= (1 << pos);
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// Get unsigned representation.
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newBytes = newBytes >>> 0;
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// Updating size
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if (newBytes > oldBytes)
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this.size++;
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else if (newBytes < oldBytes)
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this.size--;
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return this;
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};
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/**
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* Method used to get the given bit's value.
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*
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* @param {number} index - Target bit index.
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* @return {number}
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*/
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BitSet.prototype.get = function(index) {
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var byteIndex = index >> 5,
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pos = index & 0x0000001f;
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return (this.array[byteIndex] >> pos) & 1;
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};
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/**
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* Method used to test the given bit's value.
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*
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* @param {number} index - Target bit index.
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* @return {BitSet}
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*/
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BitSet.prototype.test = function(index) {
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return Boolean(this.get(index));
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};
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/**
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* Method used to return the number of 1 from the beginning of the set up to
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* the ith index.
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*
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* @param {number} i - Ith index (cannot be > length).
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* @return {number}
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*/
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BitSet.prototype.rank = function(i) {
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if (this.size === 0)
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return 0;
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var byteIndex = i >> 5,
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pos = i & 0x0000001f,
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r = 0;
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// Accessing the bytes before the last one
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for (var j = 0; j < byteIndex; j++)
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r += bitwise.table8Popcount(this.array[j]);
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// Handling masked last byte
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var maskedByte = this.array[byteIndex] & ((1 << pos) - 1);
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r += bitwise.table8Popcount(maskedByte);
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return r;
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};
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/**
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* Method used to return the position of the rth 1 in the set or -1 if the
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* set is empty.
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*
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* Note: usually select is implemented using binary search over rank but I
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* tend to think the following linear implementation is faster since here
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* rank is O(n) anyway.
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*
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* @param {number} r - Rth 1 to select (should be < length).
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* @return {number}
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*/
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BitSet.prototype.select = function(r) {
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if (this.size === 0)
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return -1;
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// TODO: throw?
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if (r >= this.length)
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return -1;
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var byte,
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b = 32,
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p = 0,
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c = 0;
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for (var i = 0, l = this.array.length; i < l; i++) {
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byte = this.array[i];
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// The byte is empty, let's continue
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if (byte === 0)
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continue;
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// TODO: This branching might not be useful here
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if (i === l - 1)
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b = this.length % 32 || 32;
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// TODO: popcount should speed things up here
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for (var j = 0; j < b; j++, p++) {
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c += (byte >> j) & 1;
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if (c === r)
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return p;
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}
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}
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};
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/**
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* Method used to iterate over the bit set's values.
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*
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* @param {function} callback - Function to call for each item.
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* @param {object} scope - Optional scope.
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* @return {undefined}
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*/
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BitSet.prototype.forEach = function(callback, scope) {
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scope = arguments.length > 1 ? scope : this;
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var length = this.length,
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byte,
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bit,
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b = 32;
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for (var i = 0, l = this.array.length; i < l; i++) {
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byte = this.array[i];
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if (i === l - 1)
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b = length % 32 || 32;
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for (var j = 0; j < b; j++) {
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bit = (byte >> j) & 1;
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callback.call(scope, bit, i * 32 + j);
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}
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}
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};
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/**
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* Method used to create an iterator over a set's values.
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*
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* @return {Iterator}
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*/
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BitSet.prototype.values = function() {
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var length = this.length,
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inner = false,
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byte,
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bit,
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array = this.array,
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l = array.length,
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i = 0,
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j = -1,
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b = 32;
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return new Iterator(function next() {
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if (!inner) {
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if (i >= l)
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return {
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done: true
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};
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if (i === l - 1)
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b = length % 32 || 32;
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byte = array[i++];
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inner = true;
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j = -1;
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}
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j++;
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if (j >= b) {
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inner = false;
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return next();
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}
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bit = (byte >> j) & 1;
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return {
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value: bit
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};
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});
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};
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/**
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* Method used to create an iterator over a set's entries.
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*
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* @return {Iterator}
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*/
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BitSet.prototype.entries = function() {
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var length = this.length,
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inner = false,
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byte,
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bit,
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array = this.array,
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index,
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l = array.length,
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i = 0,
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j = -1,
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b = 32;
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return new Iterator(function next() {
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if (!inner) {
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if (i >= l)
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return {
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done: true
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};
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if (i === l - 1)
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b = length % 32 || 32;
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byte = array[i++];
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inner = true;
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j = -1;
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}
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j++;
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index = (~-i) * 32 + j;
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if (j >= b) {
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inner = false;
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return next();
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}
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bit = (byte >> j) & 1;
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return {
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value: [index, bit]
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};
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});
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};
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/**
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* Attaching the #.values method to Symbol.iterator if possible.
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*/
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if (typeof Symbol !== 'undefined')
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BitSet.prototype[Symbol.iterator] = BitSet.prototype.values;
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/**
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* Convenience known methods.
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*/
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BitSet.prototype.inspect = function() {
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var proxy = new Uint8Array(this.length);
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this.forEach(function(bit, i) {
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proxy[i] = bit;
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});
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// Trick so that node displays the name of the constructor
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Object.defineProperty(proxy, 'constructor', {
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value: BitSet,
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enumerable: false
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});
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return proxy;
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};
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if (typeof Symbol !== 'undefined')
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BitSet.prototype[Symbol.for('nodejs.util.inspect.custom')] = BitSet.prototype.inspect;
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BitSet.prototype.toJSON = function() {
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return Array.from(this.array);
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};
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/**
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* Exporting.
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*/
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module.exports = BitSet;
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