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							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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