radio/lorgar/lib/bintrees/index.js
2018-08-05 00:48:17 +03:00

479 lines
15 KiB
JavaScript

"use strict";
(function rbtree_js() {
var moduleName = "lib/bintrees/index";
var defineArray = [];
define(moduleName, defineArray, function rbtree_module() {
var require = function(name) {
var fn = require.m[name];
if (fn.mod) {
return fn.mod.exports;
}
var mod = fn.mod = { exports: {} };
fn(mod, mod.exports);
return mod.exports;
};
require.m = {};
require.m['./treebase'] = function(module, exports) {
function TreeBase() {}
// removes all nodes from the tree
TreeBase.prototype.clear = function() {
this._root = null;
this.size = 0;
};
// returns node data if found, null otherwise
TreeBase.prototype.find = function(data) {
var res = this._root;
while(res !== null) {
var c = this._comparator(data, res.data);
if(c === 0) {
return res.data;
}
else {
res = res.get_child(c > 0);
}
}
return null;
};
// returns iterator to node if found, null otherwise
TreeBase.prototype.findIter = function(data) {
var res = this._root;
var iter = this.iterator();
while(res !== null) {
var c = this._comparator(data, res.data);
if(c === 0) {
iter._cursor = res;
return iter;
}
else {
iter._ancestors.push(res);
res = res.get_child(c > 0);
}
}
return null;
};
// Returns an iterator to the tree node at or immediately after the item
TreeBase.prototype.lowerBound = function(item) {
var cur = this._root;
var iter = this.iterator();
var cmp = this._comparator;
while(cur !== null) {
var c = cmp(item, cur.data);
if(c === 0) {
iter._cursor = cur;
return iter;
}
iter._ancestors.push(cur);
cur = cur.get_child(c > 0);
}
for(var i=iter._ancestors.length - 1; i >= 0; --i) {
cur = iter._ancestors[i];
if(cmp(item, cur.data) < 0) {
iter._cursor = cur;
iter._ancestors.length = i;
return iter;
}
}
iter._ancestors.length = 0;
return iter;
};
// Returns an iterator to the tree node immediately after the item
TreeBase.prototype.upperBound = function(item) {
var iter = this.lowerBound(item);
var cmp = this._comparator;
while(iter.data() !== null && cmp(iter.data(), item) === 0) {
iter.next();
}
return iter;
};
// returns null if tree is empty
TreeBase.prototype.min = function() {
var res = this._root;
if(res === null) {
return null;
}
while(res.left !== null) {
res = res.left;
}
return res.data;
};
// returns null if tree is empty
TreeBase.prototype.max = function() {
var res = this._root;
if(res === null) {
return null;
}
while(res.right !== null) {
res = res.right;
}
return res.data;
};
// returns a null iterator
// call next() or prev() to point to an element
TreeBase.prototype.iterator = function() {
return new Iterator(this);
};
// calls cb on each node's data, in order
TreeBase.prototype.each = function(cb) {
var it=this.iterator(), data;
while((data = it.next()) !== null) {
cb(data);
}
};
// calls cb on each node's data, in reverse order
TreeBase.prototype.reach = function(cb) {
var it=this.iterator(), data;
while((data = it.prev()) !== null) {
cb(data);
}
};
function Iterator(tree) {
this._tree = tree;
this._ancestors = [];
this._cursor = null;
}
Iterator.prototype.data = function() {
return this._cursor !== null ? this._cursor.data : null;
};
// if null-iterator, returns first node
// otherwise, returns next node
Iterator.prototype.next = function() {
if(this._cursor === null) {
var root = this._tree._root;
if(root !== null) {
this._minNode(root);
}
}
else {
if(this._cursor.right === null) {
// no greater node in subtree, go up to parent
// if coming from a right child, continue up the stack
var save;
do {
save = this._cursor;
if(this._ancestors.length) {
this._cursor = this._ancestors.pop();
}
else {
this._cursor = null;
break;
}
} while(this._cursor.right === save);
}
else {
// get the next node from the subtree
this._ancestors.push(this._cursor);
this._minNode(this._cursor.right);
}
}
return this._cursor !== null ? this._cursor.data : null;
};
// if null-iterator, returns last node
// otherwise, returns previous node
Iterator.prototype.prev = function() {
if(this._cursor === null) {
var root = this._tree._root;
if(root !== null) {
this._maxNode(root);
}
}
else {
if(this._cursor.left === null) {
var save;
do {
save = this._cursor;
if(this._ancestors.length) {
this._cursor = this._ancestors.pop();
}
else {
this._cursor = null;
break;
}
} while(this._cursor.left === save);
}
else {
this._ancestors.push(this._cursor);
this._maxNode(this._cursor.left);
}
}
return this._cursor !== null ? this._cursor.data : null;
};
Iterator.prototype._minNode = function(start) {
while(start.left !== null) {
this._ancestors.push(start);
start = start.left;
}
this._cursor = start;
};
Iterator.prototype._maxNode = function(start) {
while(start.right !== null) {
this._ancestors.push(start);
start = start.right;
}
this._cursor = start;
};
module.exports = TreeBase;
};
require.m['__main__'] = function(module, exports) {
var TreeBase = require('./treebase');
function Node(data) {
this.data = data;
this.left = null;
this.right = null;
this.red = true;
}
Node.prototype.get_child = function(dir) {
return dir ? this.right : this.left;
};
Node.prototype.set_child = function(dir, val) {
if(dir) {
this.right = val;
}
else {
this.left = val;
}
};
function RBTree(comparator) {
this._root = null;
this._comparator = comparator;
this.size = 0;
}
RBTree.prototype = new TreeBase();
// returns true if inserted, false if duplicate
RBTree.prototype.insert = function(data) {
var ret = false;
if(this._root === null) {
// empty tree
this._root = new Node(data);
ret = true;
this.size++;
}
else {
var head = new Node(undefined); // fake tree root
var dir = 0;
var last = 0;
// setup
var gp = null; // grandparent
var ggp = head; // grand-grand-parent
var p = null; // parent
var node = this._root;
ggp.right = this._root;
// search down
while(true) {
if(node === null) {
// insert new node at the bottom
node = new Node(data);
p.set_child(dir, node);
ret = true;
this.size++;
}
else if(is_red(node.left) && is_red(node.right)) {
// color flip
node.red = true;
node.left.red = false;
node.right.red = false;
}
// fix red violation
if(is_red(node) && is_red(p)) {
var dir2 = ggp.right === gp;
if(node === p.get_child(last)) {
ggp.set_child(dir2, single_rotate(gp, !last));
}
else {
ggp.set_child(dir2, double_rotate(gp, !last));
}
}
var cmp = this._comparator(node.data, data);
// stop if found
if(cmp === 0) {
break;
}
last = dir;
dir = cmp < 0;
// update helpers
if(gp !== null) {
ggp = gp;
}
gp = p;
p = node;
node = node.get_child(dir);
}
// update root
this._root = head.right;
}
// make root black
this._root.red = false;
return ret;
};
// returns true if removed, false if not found
RBTree.prototype.remove = function(data) {
if(this._root === null) {
return false;
}
var head = new Node(undefined); // fake tree root
var node = head;
node.right = this._root;
var p = null; // parent
var gp = null; // grand parent
var found = null; // found item
var dir = 1;
while(node.get_child(dir) !== null) {
var last = dir;
// update helpers
gp = p;
p = node;
node = node.get_child(dir);
var cmp = this._comparator(data, node.data);
dir = cmp > 0;
// save found node
if(cmp === 0) {
found = node;
}
// push the red node down
if(!is_red(node) && !is_red(node.get_child(dir))) {
if(is_red(node.get_child(!dir))) {
var sr = single_rotate(node, dir);
p.set_child(last, sr);
p = sr;
}
else if(!is_red(node.get_child(!dir))) {
var sibling = p.get_child(!last);
if(sibling !== null) {
if(!is_red(sibling.get_child(!last)) && !is_red(sibling.get_child(last))) {
// color flip
p.red = false;
sibling.red = true;
node.red = true;
}
else {
var dir2 = gp.right === p;
if(is_red(sibling.get_child(last))) {
gp.set_child(dir2, double_rotate(p, last));
}
else if(is_red(sibling.get_child(!last))) {
gp.set_child(dir2, single_rotate(p, last));
}
// ensure correct coloring
var gpc = gp.get_child(dir2);
gpc.red = true;
node.red = true;
gpc.left.red = false;
gpc.right.red = false;
}
}
}
}
}
// replace and remove if found
if(found !== null) {
found.data = node.data;
p.set_child(p.right === node, node.get_child(node.left === null));
this.size--;
}
// update root and make it black
this._root = head.right;
if(this._root !== null) {
this._root.red = false;
}
return found !== null;
};
function is_red(node) {
return node !== null && node.red;
}
function single_rotate(root, dir) {
var save = root.get_child(!dir);
root.set_child(!dir, save.get_child(dir));
save.set_child(dir, root);
root.red = true;
save.red = false;
return save;
}
function double_rotate(root, dir) {
root.set_child(!dir, single_rotate(root.get_child(!dir), !dir));
return single_rotate(root, dir);
}
module.exports = RBTree;
};
return {
RBTree: require('__main__')
};
});
})();