You can not select more than 25 topics
			Topics must start with a letter or number, can include dashes ('-') and can be up to 35 characters long.
		
		
		
		
		
			
		
			
				
					551 lines
				
				11 KiB
			
		
		
			
		
	
	
					551 lines
				
				11 KiB
			| 
											3 years ago
										 | /** | ||
|  |  * Mnemonist BitVector | ||
|  |  * ==================== | ||
|  |  * | ||
|  |  * JavaScript implementation of a dynamic BitSet based upon a Uint32Array. | ||
|  |  * | ||
|  |  * Notes: | ||
|  |  *   - (i >> 5) is the same as ((i / 32) | 0) | ||
|  |  *   - (i & 0x0000001f) is the same as (i % 32) | ||
|  |  *   - I could use a Float64Array to store more in less blocks but I would lose | ||
|  |  *     the benefits of byte comparison to keep track of size without popcounts. | ||
|  |  */ | ||
|  | var Iterator = require('obliterator/iterator'), | ||
|  |     bitwise = require('./utils/bitwise.js'); | ||
|  | 
 | ||
|  | /** | ||
|  |  * Constants. | ||
|  |  */ | ||
|  | var DEFAULT_GROWING_POLICY = function(capacity) { | ||
|  |   return Math.max(1, Math.ceil(capacity * 1.5)); | ||
|  | }; | ||
|  | 
 | ||
|  | /** | ||
|  |  * Helpers. | ||
|  |  */ | ||
|  | function createByteArray(capacity) { | ||
|  |   return new Uint32Array(Math.ceil(capacity / 32)); | ||
|  | } | ||
|  | 
 | ||
|  | /** | ||
|  |  * BitVector. | ||
|  |  * | ||
|  |  * @constructor | ||
|  |  */ | ||
|  | function BitVector(initialLengthOrOptions) { | ||
|  |   var initialLength = initialLengthOrOptions || 0, | ||
|  |       policy = DEFAULT_GROWING_POLICY; | ||
|  | 
 | ||
|  |   if (typeof initialLengthOrOptions === 'object') { | ||
|  |     initialLength = ( | ||
|  |       initialLengthOrOptions.initialLength || | ||
|  |       initialLengthOrOptions.initialCapacity || | ||
|  |       0 | ||
|  |     ); | ||
|  |     policy = initialLengthOrOptions.policy || policy; | ||
|  |   } | ||
|  | 
 | ||
|  |   this.size = 0; | ||
|  |   this.length = initialLength; | ||
|  |   this.capacity = Math.ceil(this.length / 32) * 32; | ||
|  |   this.policy = policy; | ||
|  |   this.array = createByteArray(this.capacity); | ||
|  | } | ||
|  | 
 | ||
|  | /** | ||
|  |  * Method used to set the given bit's value. | ||
|  |  * | ||
|  |  * @param  {number} index - Target bit index. | ||
|  |  * @param  {number|boolean} value - Value to set. | ||
|  |  * @return {BitVector} | ||
|  |  */ | ||
|  | BitVector.prototype.set = function(index, value) { | ||
|  | 
 | ||
|  |   // Out of bounds?
 | ||
|  |   if (this.length < index) | ||
|  |     throw new Error('BitVector.set: index out of bounds.'); | ||
|  | 
 | ||
|  |   var byteIndex = index >> 5, | ||
|  |       pos = index & 0x0000001f, | ||
|  |       oldBytes = this.array[byteIndex], | ||
|  |       newBytes; | ||
|  | 
 | ||
|  |   if (value === 0 || value === false) | ||
|  |     newBytes = this.array[byteIndex] &= ~(1 << pos); | ||
|  |   else | ||
|  |     newBytes = this.array[byteIndex] |= (1 << pos); | ||
|  | 
 | ||
|  |   // Get unsigned representation.
 | ||
|  |   newBytes = newBytes >>> 0; | ||
|  | 
 | ||
|  |   // Updating size
 | ||
|  |   if (newBytes > oldBytes) | ||
|  |     this.size++; | ||
|  |   else if (newBytes < oldBytes) | ||
|  |     this.size--; | ||
|  | 
 | ||
|  |   return this; | ||
|  | }; | ||
|  | 
 | ||
|  | /** | ||
|  | * Method used to reset the given bit's value. | ||
|  | * | ||
|  | * @param  {number} index - Target bit index. | ||
|  | * @return {BitVector} | ||
|  | */ | ||
|  | BitVector.prototype.reset = function(index) { | ||
|  |   var byteIndex = index >> 5, | ||
|  |       pos = index & 0x0000001f, | ||
|  |       oldBytes = this.array[byteIndex], | ||
|  |       newBytes; | ||
|  | 
 | ||
|  |   newBytes = this.array[byteIndex] &= ~(1 << pos); | ||
|  | 
 | ||
|  |   // Updating size
 | ||
|  |   if (newBytes < oldBytes) | ||
|  |     this.size--; | ||
|  | 
 | ||
|  |   return this; | ||
|  | }; | ||
|  | 
 | ||
|  | /** | ||
|  |  * Method used to flip the value of the given bit. | ||
|  |  * | ||
|  |  * @param  {number} index - Target bit index. | ||
|  |  * @return {BitVector} | ||
|  |  */ | ||
|  | BitVector.prototype.flip = function(index) { | ||
|  |   var byteIndex = index >> 5, | ||
|  |       pos = index & 0x0000001f, | ||
|  |       oldBytes = this.array[byteIndex]; | ||
|  | 
 | ||
|  |   var newBytes = this.array[byteIndex] ^= (1 << pos); | ||
|  | 
 | ||
|  |   // Get unsigned representation.
 | ||
|  |   newBytes = newBytes >>> 0; | ||
|  | 
 | ||
|  |   // Updating size
 | ||
|  |   if (newBytes > oldBytes) | ||
|  |     this.size++; | ||
|  |   else if (newBytes < oldBytes) | ||
|  |     this.size--; | ||
|  | 
 | ||
|  |   return this; | ||
|  | }; | ||
|  | 
 | ||
|  | /** | ||
|  |  * Method used to apply the growing policy. | ||
|  |  * | ||
|  |  * @param  {number} [override] - Override capacity. | ||
|  |  * @return {number} | ||
|  |  */ | ||
|  | BitVector.prototype.applyPolicy = function(override) { | ||
|  |   var newCapacity = this.policy(override || this.capacity); | ||
|  | 
 | ||
|  |   if (typeof newCapacity !== 'number' || newCapacity < 0) | ||
|  |     throw new Error('mnemonist/bit-vector.applyPolicy: policy returned an invalid value (expecting a positive integer).'); | ||
|  | 
 | ||
|  |   if (newCapacity <= this.capacity) | ||
|  |     throw new Error('mnemonist/bit-vector.applyPolicy: policy returned a less or equal capacity to allocate.'); | ||
|  | 
 | ||
|  |   // TODO: we should probably check that the returned number is an integer
 | ||
|  | 
 | ||
|  |   // Ceil to nearest 32
 | ||
|  |   return Math.ceil(newCapacity / 32) * 32; | ||
|  | }; | ||
|  | 
 | ||
|  | /** | ||
|  |  * Method used to reallocate the underlying array. | ||
|  |  * | ||
|  |  * @param  {number}       capacity - Target capacity. | ||
|  |  * @return {BitVector} | ||
|  |  */ | ||
|  | BitVector.prototype.reallocate = function(capacity) { | ||
|  |   var virtualCapacity = capacity; | ||
|  | 
 | ||
|  |   capacity = Math.ceil(capacity / 32) * 32; | ||
|  | 
 | ||
|  |   if (virtualCapacity < this.length) | ||
|  |     this.length = virtualCapacity; | ||
|  | 
 | ||
|  |   if (capacity === this.capacity) | ||
|  |     return this; | ||
|  | 
 | ||
|  |   var oldArray = this.array; | ||
|  | 
 | ||
|  |   var storageLength = capacity / 32; | ||
|  | 
 | ||
|  |   if (storageLength === this.array.length) | ||
|  |     return this; | ||
|  | 
 | ||
|  |   if (storageLength > this.array.length) { | ||
|  |     this.array = new Uint32Array(storageLength); | ||
|  |     this.array.set(oldArray, 0); | ||
|  |   } | ||
|  |   else { | ||
|  |     this.array = oldArray.slice(0, storageLength); | ||
|  |   } | ||
|  | 
 | ||
|  |   this.capacity = capacity; | ||
|  | 
 | ||
|  |   return this; | ||
|  | }; | ||
|  | 
 | ||
|  | /** | ||
|  |  * Method used to grow the array. | ||
|  |  * | ||
|  |  * @param  {number}       [capacity] - Optional capacity to match. | ||
|  |  * @return {BitVector} | ||
|  |  */ | ||
|  | BitVector.prototype.grow = function(capacity) { | ||
|  |   var newCapacity; | ||
|  | 
 | ||
|  |   if (typeof capacity === 'number') { | ||
|  | 
 | ||
|  |     if (this.capacity >= capacity) | ||
|  |       return this; | ||
|  | 
 | ||
|  |     // We need to match the given capacity
 | ||
|  |     newCapacity = this.capacity; | ||
|  | 
 | ||
|  |     while (newCapacity < capacity) | ||
|  |       newCapacity = this.applyPolicy(newCapacity); | ||
|  | 
 | ||
|  |     this.reallocate(newCapacity); | ||
|  | 
 | ||
|  |     return this; | ||
|  |   } | ||
|  | 
 | ||
|  |   // We need to run the policy once
 | ||
|  |   newCapacity = this.applyPolicy(); | ||
|  |   this.reallocate(newCapacity); | ||
|  | 
 | ||
|  |   return this; | ||
|  | }; | ||
|  | 
 | ||
|  | /** | ||
|  |  * Method used to resize the array. Won't deallocate. | ||
|  |  * | ||
|  |  * @param  {number}       length - Target length. | ||
|  |  * @return {BitVector} | ||
|  |  */ | ||
|  | BitVector.prototype.resize = function(length) { | ||
|  |   if (length === this.length) | ||
|  |     return this; | ||
|  | 
 | ||
|  |   if (length < this.length) { | ||
|  |     this.length = length; | ||
|  |     return this; | ||
|  |   } | ||
|  | 
 | ||
|  |   this.length = length; | ||
|  |   this.reallocate(length); | ||
|  | 
 | ||
|  |   return this; | ||
|  | }; | ||
|  | 
 | ||
|  | /** | ||
|  |  * Method used to push a value in the set. | ||
|  |  * | ||
|  |  * @param  {number|boolean} value | ||
|  |  * @return {BitVector} | ||
|  |  */ | ||
|  | BitVector.prototype.push = function(value) { | ||
|  |   if (this.capacity === this.length) | ||
|  |     this.grow(); | ||
|  | 
 | ||
|  |   if (value === 0 || value === false) | ||
|  |     return ++this.length; | ||
|  | 
 | ||
|  |   this.size++; | ||
|  | 
 | ||
|  |   var index = this.length++, | ||
|  |       byteIndex = index >> 5, | ||
|  |       pos = index & 0x0000001f; | ||
|  | 
 | ||
|  |   this.array[byteIndex] |= (1 << pos); | ||
|  | 
 | ||
|  |   return this.length; | ||
|  | }; | ||
|  | 
 | ||
|  | /** | ||
|  |  * Method used to pop the last value of the set. | ||
|  |  * | ||
|  |  * @return {number} - The popped value. | ||
|  |  */ | ||
|  | BitVector.prototype.pop = function() { | ||
|  |   if (this.length === 0) | ||
|  |     return; | ||
|  | 
 | ||
|  |   var index = --this.length; | ||
|  | 
 | ||
|  |   var byteIndex = index >> 5, | ||
|  |       pos = index & 0x0000001f; | ||
|  | 
 | ||
|  |   return (this.array[byteIndex] >> pos) & 1; | ||
|  | }; | ||
|  | 
 | ||
|  | /** | ||
|  |  * Method used to get the given bit's value. | ||
|  |  * | ||
|  |  * @param  {number} index - Target bit index. | ||
|  |  * @return {number} | ||
|  |  */ | ||
|  | BitVector.prototype.get = function(index) { | ||
|  |   if (this.length < index) | ||
|  |     return undefined; | ||
|  | 
 | ||
|  |   var byteIndex = index >> 5, | ||
|  |       pos = index & 0x0000001f; | ||
|  | 
 | ||
|  |   return (this.array[byteIndex] >> pos) & 1; | ||
|  | }; | ||
|  | 
 | ||
|  | /** | ||
|  |  * Method used to test the given bit's value. | ||
|  |  * | ||
|  |  * @param  {number} index - Target bit index. | ||
|  |  * @return {BitVector} | ||
|  |  */ | ||
|  | BitVector.prototype.test = function(index) { | ||
|  |   if (this.length < index) | ||
|  |     return false; | ||
|  | 
 | ||
|  |   return Boolean(this.get(index)); | ||
|  | }; | ||
|  | 
 | ||
|  | /** | ||
|  |  * Method used to return the number of 1 from the beginning of the set up to | ||
|  |  * the ith index. | ||
|  |  * | ||
|  |  * @param  {number} i - Ith index (cannot be > length). | ||
|  |  * @return {number} | ||
|  |  */ | ||
|  | BitVector.prototype.rank = function(i) { | ||
|  |   if (this.size === 0) | ||
|  |     return 0; | ||
|  | 
 | ||
|  |   var byteIndex = i >> 5, | ||
|  |       pos = i & 0x0000001f, | ||
|  |       r = 0; | ||
|  | 
 | ||
|  |   // Accessing the bytes before the last one
 | ||
|  |   for (var j = 0; j < byteIndex; j++) | ||
|  |     r += bitwise.table8Popcount(this.array[j]); | ||
|  | 
 | ||
|  |   // Handling masked last byte
 | ||
|  |   var maskedByte = this.array[byteIndex] & ((1 << pos) - 1); | ||
|  | 
 | ||
|  |   r += bitwise.table8Popcount(maskedByte); | ||
|  | 
 | ||
|  |   return r; | ||
|  | }; | ||
|  | 
 | ||
|  | /** | ||
|  |  * Method used to return the position of the rth 1 in the set or -1 if the | ||
|  |  * set is empty. | ||
|  |  * | ||
|  |  * Note: usually select is implemented using binary search over rank but I | ||
|  |  * tend to think the following linear implementation is faster since here | ||
|  |  * rank is O(n) anyway. | ||
|  |  * | ||
|  |  * @param  {number} r - Rth 1 to select (should be < length). | ||
|  |  * @return {number} | ||
|  |  */ | ||
|  | BitVector.prototype.select = function(r) { | ||
|  |   if (this.size === 0) | ||
|  |     return -1; | ||
|  | 
 | ||
|  |   // TODO: throw?
 | ||
|  |   if (r >= this.length) | ||
|  |     return -1; | ||
|  | 
 | ||
|  |   var byte, | ||
|  |       b = 32, | ||
|  |       p = 0, | ||
|  |       c = 0; | ||
|  | 
 | ||
|  |   for (var i = 0, l = this.array.length; i < l; i++) { | ||
|  |     byte = this.array[i]; | ||
|  | 
 | ||
|  |     // The byte is empty, let's continue
 | ||
|  |     if (byte === 0) | ||
|  |       continue; | ||
|  | 
 | ||
|  |     // TODO: This branching might not be useful here
 | ||
|  |     if (i === l - 1) | ||
|  |       b = this.length % 32 || 32; | ||
|  | 
 | ||
|  |     // TODO: popcount should speed things up here
 | ||
|  | 
 | ||
|  |     for (var j = 0; j < b; j++, p++) { | ||
|  |       c += (byte >> j) & 1; | ||
|  | 
 | ||
|  |       if (c === r) | ||
|  |         return p; | ||
|  |     } | ||
|  |   } | ||
|  | }; | ||
|  | 
 | ||
|  | /** | ||
|  |  * Method used to iterate over the bit set's values. | ||
|  |  * | ||
|  |  * @param  {function}  callback - Function to call for each item. | ||
|  |  * @param  {object}    scope    - Optional scope. | ||
|  |  * @return {undefined} | ||
|  |  */ | ||
|  | BitVector.prototype.forEach = function(callback, scope) { | ||
|  |   scope = arguments.length > 1 ? scope : this; | ||
|  | 
 | ||
|  |   var length = this.length, | ||
|  |       byte, | ||
|  |       bit, | ||
|  |       b = 32; | ||
|  | 
 | ||
|  |   for (var i = 0, l = this.array.length; i < l; i++) { | ||
|  |     byte = this.array[i]; | ||
|  | 
 | ||
|  |     if (i === l - 1) | ||
|  |       b = length % 32 || 32; | ||
|  | 
 | ||
|  |     for (var j = 0; j < b; j++) { | ||
|  |       bit = (byte >> j) & 1; | ||
|  | 
 | ||
|  |       callback.call(scope, bit, i * 32 + j); | ||
|  |     } | ||
|  |   } | ||
|  | }; | ||
|  | 
 | ||
|  | /** | ||
|  |  * Method used to create an iterator over a set's values. | ||
|  |  * | ||
|  |  * @return {Iterator} | ||
|  |  */ | ||
|  | BitVector.prototype.values = function() { | ||
|  |   var length = this.length, | ||
|  |       inner = false, | ||
|  |       byte, | ||
|  |       bit, | ||
|  |       array = this.array, | ||
|  |       l = array.length, | ||
|  |       i = 0, | ||
|  |       j = -1, | ||
|  |       b = 32; | ||
|  | 
 | ||
|  |   return new Iterator(function next() { | ||
|  |     if (!inner) { | ||
|  | 
 | ||
|  |       if (i >= l) | ||
|  |         return { | ||
|  |           done: true | ||
|  |         }; | ||
|  | 
 | ||
|  |       if (i === l - 1) | ||
|  |         b = length % 32 || 32; | ||
|  | 
 | ||
|  |       byte = array[i++]; | ||
|  |       inner = true; | ||
|  |       j = -1; | ||
|  |     } | ||
|  | 
 | ||
|  |     j++; | ||
|  | 
 | ||
|  |     if (j >= b) { | ||
|  |       inner = false; | ||
|  |       return next(); | ||
|  |     } | ||
|  | 
 | ||
|  |     bit = (byte >> j) & 1; | ||
|  | 
 | ||
|  |     return { | ||
|  |       value: bit | ||
|  |     }; | ||
|  |   }); | ||
|  | }; | ||
|  | 
 | ||
|  | /** | ||
|  |  * Method used to create an iterator over a set's entries. | ||
|  |  * | ||
|  |  * @return {Iterator} | ||
|  |  */ | ||
|  | BitVector.prototype.entries = function() { | ||
|  |   var length = this.length, | ||
|  |       inner = false, | ||
|  |       byte, | ||
|  |       bit, | ||
|  |       array = this.array, | ||
|  |       index, | ||
|  |       l = array.length, | ||
|  |       i = 0, | ||
|  |       j = -1, | ||
|  |       b = 32; | ||
|  | 
 | ||
|  |   return new Iterator(function next() { | ||
|  |     if (!inner) { | ||
|  | 
 | ||
|  |       if (i >= l) | ||
|  |         return { | ||
|  |           done: true | ||
|  |         }; | ||
|  | 
 | ||
|  |       if (i === l - 1) | ||
|  |         b = length % 32 || 32; | ||
|  | 
 | ||
|  |       byte = array[i++]; | ||
|  |       inner = true; | ||
|  |       j = -1; | ||
|  |     } | ||
|  | 
 | ||
|  |     j++; | ||
|  |     index = (~-i) * 32 + j; | ||
|  | 
 | ||
|  |     if (j >= b) { | ||
|  |       inner = false; | ||
|  |       return next(); | ||
|  |     } | ||
|  | 
 | ||
|  |     bit = (byte >> j) & 1; | ||
|  | 
 | ||
|  |     return { | ||
|  |       value: [index, bit] | ||
|  |     }; | ||
|  |   }); | ||
|  | }; | ||
|  | 
 | ||
|  | /** | ||
|  |  * Attaching the #.values method to Symbol.iterator if possible. | ||
|  |  */ | ||
|  | if (typeof Symbol !== 'undefined') | ||
|  |   BitVector.prototype[Symbol.iterator] = BitVector.prototype.values; | ||
|  | 
 | ||
|  | /** | ||
|  |  * Convenience known methods. | ||
|  |  */ | ||
|  | BitVector.prototype.inspect = function() { | ||
|  |   var proxy = new Uint8Array(this.length); | ||
|  | 
 | ||
|  |   this.forEach(function(bit, i) { | ||
|  |     proxy[i] = bit; | ||
|  |   }); | ||
|  | 
 | ||
|  |   // Trick so that node displays the name of the constructor
 | ||
|  |   Object.defineProperty(proxy, 'constructor', { | ||
|  |     value: BitVector, | ||
|  |     enumerable: false | ||
|  |   }); | ||
|  | 
 | ||
|  |   return proxy; | ||
|  | }; | ||
|  | 
 | ||
|  | if (typeof Symbol !== 'undefined') | ||
|  |   BitVector.prototype[Symbol.for('nodejs.util.inspect.custom')] = BitVector.prototype.inspect; | ||
|  | 
 | ||
|  | BitVector.prototype.toJSON = function() { | ||
|  |   return Array.from(this.array.slice(0, (this.length >> 5) + 1)); | ||
|  | }; | ||
|  | 
 | ||
|  | /** | ||
|  |  * Exporting. | ||
|  |  */ | ||
|  | module.exports = BitVector; |