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.
516 lines
10 KiB
516 lines
10 KiB
/* eslint no-constant-condition: 0 */
|
|
/**
|
|
* Mnemonist CritBitTreeMap
|
|
* =========================
|
|
*
|
|
* JavaScript implementation of a crit-bit tree, also called PATRICIA tree.
|
|
* This tree is a basically a bitwise radix tree and is supposedly much more
|
|
* efficient than a standard Trie.
|
|
*
|
|
* [References]:
|
|
* https://cr.yp.to/critbit.html
|
|
* https://www.imperialviolet.org/binary/critbit.pdf
|
|
*/
|
|
var bitwise = require('./utils/bitwise.js');
|
|
|
|
/**
|
|
* Helpers.
|
|
*/
|
|
|
|
/**
|
|
* Helper returning the direction we need to take given a key and an
|
|
* encoded critbit.
|
|
*
|
|
* @param {string} key - Target key.
|
|
* @param {number} critbit - Packed address of byte + mask.
|
|
* @return {number} - 0, left or 1, right.
|
|
*/
|
|
function getDirection(key, critbit) {
|
|
var byteIndex = critbit >> 8;
|
|
|
|
if (byteIndex > key.length - 1)
|
|
return 0;
|
|
|
|
var byte = key.charCodeAt(byteIndex),
|
|
mask = critbit & 0xff;
|
|
|
|
return (1 + (byte | mask)) >> 8;
|
|
}
|
|
|
|
/**
|
|
* Helper returning the packed address of byte + mask or -1 if strings
|
|
* are identical.
|
|
*
|
|
* @param {string} a - First key.
|
|
* @param {string} b - Second key.
|
|
* @return {number} - Packed address of byte + mask.
|
|
*/
|
|
function findCriticalBit(a, b) {
|
|
var i = 0,
|
|
tmp;
|
|
|
|
// Swapping so a is the shortest
|
|
if (a.length > b.length) {
|
|
tmp = b;
|
|
b = a;
|
|
a = tmp;
|
|
}
|
|
|
|
var l = a.length,
|
|
mask;
|
|
|
|
while (i < l) {
|
|
if (a[i] !== b[i]) {
|
|
mask = bitwise.criticalBit8Mask(
|
|
a.charCodeAt(i),
|
|
b.charCodeAt(i)
|
|
);
|
|
|
|
return (i << 8) | mask;
|
|
}
|
|
|
|
i++;
|
|
}
|
|
|
|
// Strings are identical
|
|
if (a.length === b.length)
|
|
return -1;
|
|
|
|
// NOTE: x ^ 0 is the same as x
|
|
mask = bitwise.criticalBit8Mask(b.charCodeAt(i));
|
|
|
|
return (i << 8) | mask;
|
|
}
|
|
|
|
/**
|
|
* Class representing a crit-bit tree's internal node.
|
|
*
|
|
* @constructor
|
|
* @param {number} critbit - Packed address of byte + mask.
|
|
*/
|
|
function InternalNode(critbit) {
|
|
this.critbit = critbit;
|
|
this.left = null;
|
|
this.right = null;
|
|
}
|
|
|
|
/**
|
|
* Class representing a crit-bit tree's external node.
|
|
* Note that it is possible to replace those nodes by flat arrays.
|
|
*
|
|
* @constructor
|
|
* @param {string} key - Node's key.
|
|
* @param {any} value - Arbitrary value.
|
|
*/
|
|
function ExternalNode(key, value) {
|
|
this.key = key;
|
|
this.value = value;
|
|
}
|
|
|
|
/**
|
|
* CritBitTreeMap.
|
|
*
|
|
* @constructor
|
|
*/
|
|
function CritBitTreeMap() {
|
|
|
|
// Properties
|
|
this.root = null;
|
|
this.size = 0;
|
|
|
|
this.clear();
|
|
}
|
|
|
|
/**
|
|
* Method used to clear the CritBitTreeMap.
|
|
*
|
|
* @return {undefined}
|
|
*/
|
|
CritBitTreeMap.prototype.clear = function() {
|
|
|
|
// Properties
|
|
this.root = null;
|
|
this.size = 0;
|
|
};
|
|
|
|
/**
|
|
* Method used to set the value of the given key in the trie.
|
|
*
|
|
* @param {string} key - Key to set.
|
|
* @param {any} value - Arbitrary value.
|
|
* @return {CritBitTreeMap}
|
|
*/
|
|
CritBitTreeMap.prototype.set = function(key, value) {
|
|
|
|
// Tree is empty
|
|
if (this.size === 0) {
|
|
this.root = new ExternalNode(key, value);
|
|
this.size++;
|
|
|
|
return this;
|
|
}
|
|
|
|
// Walk state
|
|
var node = this.root,
|
|
ancestors = [],
|
|
path = [],
|
|
ancestor,
|
|
parent,
|
|
child,
|
|
critbit,
|
|
internal,
|
|
left,
|
|
leftPath,
|
|
best,
|
|
dir,
|
|
i,
|
|
l;
|
|
|
|
// Walking the tree
|
|
while (true) {
|
|
|
|
// Traversing an internal node
|
|
if (node instanceof InternalNode) {
|
|
dir = getDirection(key, node.critbit);
|
|
|
|
// Going left & creating key if not yet there
|
|
if (dir === 0) {
|
|
if (!node.left) {
|
|
node.left = new ExternalNode(key, value);
|
|
return this;
|
|
}
|
|
|
|
ancestors.push(node);
|
|
path.push(true);
|
|
|
|
node = node.left;
|
|
}
|
|
|
|
// Going right & creating key if not yet there
|
|
else {
|
|
if (!node.right) {
|
|
node.right = new ExternalNode(key, value);
|
|
return this;
|
|
}
|
|
|
|
ancestors.push(node);
|
|
path.push(false);
|
|
|
|
node = node.right;
|
|
}
|
|
}
|
|
|
|
// Reaching an external node
|
|
else {
|
|
|
|
// 1. Creating a new external node
|
|
critbit = findCriticalBit(key, node.key);
|
|
|
|
// Key is identical, we just replace the value
|
|
if (critbit === -1) {
|
|
node.value = value;
|
|
return this;
|
|
}
|
|
|
|
this.size++;
|
|
|
|
internal = new InternalNode(critbit);
|
|
|
|
left = getDirection(key, critbit) === 0;
|
|
|
|
// TODO: maybe setting opposite pointer is not necessary
|
|
if (left) {
|
|
internal.left = new ExternalNode(key, value);
|
|
internal.right = node;
|
|
}
|
|
else {
|
|
internal.left = node;
|
|
internal.right = new ExternalNode(key, value);
|
|
}
|
|
|
|
// 2. Bubbling up
|
|
best = -1;
|
|
l = ancestors.length;
|
|
|
|
for (i = l - 1; i >= 0; i--) {
|
|
ancestor = ancestors[i];
|
|
|
|
if (ancestor.critbit > critbit)
|
|
continue;
|
|
|
|
best = i;
|
|
break;
|
|
}
|
|
|
|
// Do we need to attach to the root?
|
|
if (best < 0) {
|
|
this.root = internal;
|
|
|
|
// Need to rewire parent as child?
|
|
if (l > 0) {
|
|
parent = ancestors[0];
|
|
|
|
if (left)
|
|
internal.right = parent;
|
|
else
|
|
internal.left = parent;
|
|
}
|
|
}
|
|
|
|
// Simple case without rotation
|
|
else if (best === l - 1) {
|
|
parent = ancestors[best];
|
|
leftPath = path[best];
|
|
|
|
if (leftPath)
|
|
parent.left = internal;
|
|
else
|
|
parent.right = internal;
|
|
}
|
|
|
|
// Full rotation
|
|
else {
|
|
parent = ancestors[best];
|
|
leftPath = path[best];
|
|
child = ancestors[best + 1];
|
|
|
|
if (leftPath)
|
|
parent.left = internal;
|
|
else
|
|
parent.right = internal;
|
|
|
|
if (left)
|
|
internal.right = child;
|
|
else
|
|
internal.left = child;
|
|
}
|
|
|
|
return this;
|
|
}
|
|
}
|
|
};
|
|
|
|
/**
|
|
* Method used to get the value attached to the given key in the tree or
|
|
* undefined if not found.
|
|
*
|
|
* @param {string} key - Key to get.
|
|
* @return {any}
|
|
*/
|
|
CritBitTreeMap.prototype.get = function(key) {
|
|
|
|
// Walk state
|
|
var node = this.root,
|
|
dir;
|
|
|
|
// Walking the tree
|
|
while (true) {
|
|
|
|
// Dead end
|
|
if (node === null)
|
|
return;
|
|
|
|
// Traversing an internal node
|
|
if (node instanceof InternalNode) {
|
|
dir = getDirection(key, node.critbit);
|
|
|
|
node = dir ? node.right : node.left;
|
|
}
|
|
|
|
// Reaching an external node
|
|
else {
|
|
if (node.key !== key)
|
|
return;
|
|
|
|
return node.value;
|
|
}
|
|
}
|
|
};
|
|
|
|
/**
|
|
* Method used to return whether the given key exists in the tree.
|
|
*
|
|
* @param {string} key - Key to test.
|
|
* @return {boolean}
|
|
*/
|
|
CritBitTreeMap.prototype.has = function(key) {
|
|
|
|
// Walk state
|
|
var node = this.root,
|
|
dir;
|
|
|
|
// Walking the tree
|
|
while (true) {
|
|
|
|
// Dead end
|
|
if (node === null)
|
|
return false;
|
|
|
|
// Traversing an internal node
|
|
if (node instanceof InternalNode) {
|
|
dir = getDirection(key, node.critbit);
|
|
|
|
node = dir ? node.right : node.left;
|
|
}
|
|
|
|
// Reaching an external node
|
|
else {
|
|
return node.key === key;
|
|
}
|
|
}
|
|
};
|
|
|
|
/**
|
|
* Method used to delete the given key from the tree and return whether the
|
|
* key did exist or not.
|
|
*
|
|
* @param {string} key - Key to delete.
|
|
* @return {boolean}
|
|
*/
|
|
CritBitTreeMap.prototype.delete = function(key) {
|
|
|
|
// Walk state
|
|
var node = this.root,
|
|
dir;
|
|
|
|
var parent = null,
|
|
grandParent = null,
|
|
wentLeftForParent = false,
|
|
wentLeftForGrandparent = false;
|
|
|
|
// Walking the tree
|
|
while (true) {
|
|
|
|
// Dead end
|
|
if (node === null)
|
|
return false;
|
|
|
|
// Traversing an internal node
|
|
if (node instanceof InternalNode) {
|
|
dir = getDirection(key, node.critbit);
|
|
|
|
if (dir === 0) {
|
|
grandParent = parent;
|
|
wentLeftForGrandparent = wentLeftForParent;
|
|
parent = node;
|
|
wentLeftForParent = true;
|
|
|
|
node = node.left;
|
|
}
|
|
else {
|
|
grandParent = parent;
|
|
wentLeftForGrandparent = wentLeftForParent;
|
|
parent = node;
|
|
wentLeftForParent = false;
|
|
|
|
node = node.right;
|
|
}
|
|
}
|
|
|
|
// Reaching an external node
|
|
else {
|
|
if (key !== node.key)
|
|
return false;
|
|
|
|
this.size--;
|
|
|
|
// Rewiring
|
|
if (parent === null) {
|
|
this.root = null;
|
|
}
|
|
|
|
else if (grandParent === null) {
|
|
if (wentLeftForParent)
|
|
this.root = parent.right;
|
|
else
|
|
this.root = parent.left;
|
|
}
|
|
|
|
else {
|
|
if (wentLeftForGrandparent) {
|
|
if (wentLeftForParent) {
|
|
grandParent.left = parent.right;
|
|
}
|
|
else {
|
|
grandParent.left = parent.left;
|
|
}
|
|
}
|
|
else {
|
|
if (wentLeftForParent) {
|
|
grandParent.right = parent.right;
|
|
}
|
|
else {
|
|
grandParent.right = parent.left;
|
|
}
|
|
}
|
|
}
|
|
|
|
return true;
|
|
}
|
|
}
|
|
};
|
|
|
|
/**
|
|
* Method used to iterate over the tree in key order.
|
|
*
|
|
* @param {function} callback - Function to call for each item.
|
|
* @param {object} scope - Optional scope.
|
|
* @return {undefined}
|
|
*/
|
|
CritBitTreeMap.prototype.forEach = function(callback, scope) {
|
|
scope = arguments.length > 1 ? scope : this;
|
|
|
|
// Inorder traversal of the tree
|
|
var current = this.root,
|
|
stack = [];
|
|
|
|
while (true) {
|
|
|
|
if (current !== null) {
|
|
stack.push(current);
|
|
|
|
current = current instanceof InternalNode ? current.left : null;
|
|
}
|
|
|
|
else {
|
|
if (stack.length > 0) {
|
|
current = stack.pop();
|
|
|
|
if (current instanceof ExternalNode)
|
|
callback.call(scope, current.value, current.key);
|
|
|
|
current = current instanceof InternalNode ? current.right : null;
|
|
}
|
|
else {
|
|
break;
|
|
}
|
|
}
|
|
}
|
|
};
|
|
|
|
/**
|
|
* Convenience known methods.
|
|
*/
|
|
CritBitTreeMap.prototype.inspect = function() {
|
|
return this;
|
|
};
|
|
|
|
if (typeof Symbol !== 'undefined')
|
|
CritBitTreeMap.prototype[Symbol.for('nodejs.util.inspect.custom')] = CritBitTreeMap.prototype.inspect;
|
|
|
|
/**
|
|
* Static @.from function taking an arbitrary iterable & converting it into
|
|
* a CritBitTreeMap.
|
|
*
|
|
* @param {Iterable} iterable - Target iterable.
|
|
* @return {CritBitTreeMap}
|
|
*/
|
|
// CritBitTreeMap.from = function(iterable) {
|
|
|
|
// };
|
|
|
|
/**
|
|
* Exporting.
|
|
*/
|
|
module.exports = CritBitTreeMap;
|