var kSplayTreeSize = 8000;
var kSplayTreeModifications = 80;
var kSplayTreePayloadDepth = 5;
var splayTree = null;
var splaySampleTimeStart = 0.0;
function GeneratePayloadTree(depth, tag) {
if (depth == 0) {
return {
array : [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 ],
string : 'String for key ' + tag + ' in leaf node'
};
} else {
return {
left: GeneratePayloadTree(depth - 1, tag),
right: GeneratePayloadTree(depth - 1, tag)
};
}
}
function GenerateKey() {
return Math.random();
}
var splaySamples = [];
function SplayLatency() {
return splaySamples;
}
function SplayUpdateStats(time) {
var pause = time - splaySampleTimeStart;
splaySampleTimeStart = time;
splaySamples.push(pause);
}
function InsertNewNode() {
var key;
do {
key = GenerateKey();
} while (splayTree.find(key) != null);
var payload = GeneratePayloadTree(kSplayTreePayloadDepth, String(key));
splayTree.insert(key, payload);
return key;
}
function SplaySetup() {
if (!performance.now) {
throw "PerformanceNowUnsupported";
}
splayTree = new SplayTree();
splaySampleTimeStart = performance.now()
for (var i = 0; i < kSplayTreeSize; i++) {
InsertNewNode();
if ((i+1) % 20 == 19) {
SplayUpdateStats(performance.now());
}
}
}
function SplayTearDown() {
var keys = splayTree.exportKeys();
splayTree = null;
splaySamples = [];
var length = keys.length;
if (length != kSplayTreeSize) {
throw new Error("Splay tree has wrong size");
}
for (var i = 0; i < length - 1; i++) {
if (keys[i] >= keys[i + 1]) {
throw new Error("Splay tree not sorted");
}
}
}
function SplayRun() {
for (var i = 0; i < kSplayTreeModifications; i++) {
var key = InsertNewNode();
var greatest = splayTree.findGreatestLessThan(key);
if (greatest == null) splayTree.remove(key);
else splayTree.remove(greatest.key);
}
SplayUpdateStats(performance.now());
}
* Constructs a Splay tree. A splay tree is a self-balancing binary
* search tree with the additional property that recently accessed
* elements are quick to access again. It performs basic operations
* such as insertion, look-up and removal in O(log(n)) amortized time.
*
* @constructor
*/
function SplayTree() {
};
* Pointer to the root node of the tree.
*
* @type {SplayTree.Node}
* @private
*/
SplayTree.prototype.root_ = null;
* @return {boolean} Whether the tree is empty.
*/
SplayTree.prototype.isEmpty = function() {
return !this.root_;
};
* Inserts a node into the tree with the specified key and value if
* the tree does not already contain a node with the specified key. If
* the value is inserted, it becomes the root of the tree.
*
* @param {number} key Key to insert into the tree.
* @param {*} value Value to insert into the tree.
*/
SplayTree.prototype.insert = function(key, value) {
if (this.isEmpty()) {
this.root_ = new SplayTree.Node(key, value);
return;
}
this.splay_(key);
if (this.root_.key == key) {
return;
}
var node = new SplayTree.Node(key, value);
if (key > this.root_.key) {
node.left = this.root_;
node.right = this.root_.right;
this.root_.right = null;
} else {
node.right = this.root_;
node.left = this.root_.left;
this.root_.left = null;
}
this.root_ = node;
};
* Removes a node with the specified key from the tree if the tree
* contains a node with this key. The removed node is returned. If the
* key is not found, an exception is thrown.
*
* @param {number} key Key to find and remove from the tree.
* @return {SplayTree.Node} The removed node.
*/
SplayTree.prototype.remove = function(key) {
if (this.isEmpty()) {
throw Error('Key not found: ' + key);
}
this.splay_(key);
if (this.root_.key != key) {
throw Error('Key not found: ' + key);
}
var removed = this.root_;
if (!this.root_.left) {
this.root_ = this.root_.right;
} else {
var right = this.root_.right;
this.root_ = this.root_.left;
this.splay_(key);
this.root_.right = right;
}
return removed;
};
* Returns the node having the specified key or null if the tree doesn't contain
* a node with the specified key.
*
* @param {number} key Key to find in the tree.
* @return {SplayTree.Node} Node having the specified key.
*/
SplayTree.prototype.find = function(key) {
if (this.isEmpty()) {
return null;
}
this.splay_(key);
return this.root_.key == key ? this.root_ : null;
};
* @return {SplayTree.Node} Node having the maximum key value.
*/
SplayTree.prototype.findMax = function(opt_startNode) {
if (this.isEmpty()) {
return null;
}
var current = opt_startNode || this.root_;
while (current.right) {
current = current.right;
}
return current;
};
* @return {SplayTree.Node} Node having the maximum key value that
* is less than the specified key value.
*/
SplayTree.prototype.findGreatestLessThan = function(key) {
if (this.isEmpty()) {
return null;
}
this.splay_(key);
if (this.root_.key < key) {
return this.root_;
} else if (this.root_.left) {
return this.findMax(this.root_.left);
} else {
return null;
}
};
* @return {Array<*>} An array containing all the keys of tree's nodes.
*/
SplayTree.prototype.exportKeys = function() {
var result = [];
if (!this.isEmpty()) {
this.root_.traverse_(function(node) { result.push(node.key); });
}
return result;
};
* Perform the splay operation for the given key. Moves the node with
* the given key to the top of the tree. If no node has the given
* key, the last node on the search path is moved to the top of the
* tree. This is the simplified top-down splaying algorithm from:
* "Self-adjusting Binary Search Trees" by Sleator and Tarjan
*
* @param {number} key Key to splay the tree on.
* @private
*/
SplayTree.prototype.splay_ = function(key) {
if (this.isEmpty()) {
return;
}
var dummy, left, right;
dummy = left = right = new SplayTree.Node(null, null);
var current = this.root_;
while (true) {
if (key < current.key) {
if (!current.left) {
break;
}
if (key < current.left.key) {
var tmp = current.left;
current.left = tmp.right;
tmp.right = current;
current = tmp;
if (!current.left) {
break;
}
}
right.left = current;
right = current;
current = current.left;
} else if (key > current.key) {
if (!current.right) {
break;
}
if (key > current.right.key) {
var tmp = current.right;
current.right = tmp.left;
tmp.left = current;
current = tmp;
if (!current.right) {
break;
}
}
left.right = current;
left = current;
current = current.right;
} else {
break;
}
}
left.right = current.left;
right.left = current.right;
current.left = dummy.right;
current.right = dummy.left;
this.root_ = current;
};
* Constructs a Splay tree node.
*
* @param {number} key Key.
* @param {*} value Value.
*/
SplayTree.Node = function(key, value) {
this.key = key;
this.value = value;
};
* @type {SplayTree.Node}
*/
SplayTree.Node.prototype.left = null;
* @type {SplayTree.Node}
*/
SplayTree.Node.prototype.right = null;
* Performs an ordered traversal of the subtree starting at
* this SplayTree.Node.
*
* @param {function(SplayTree.Node)} f Visitor function.
* @private
*/
SplayTree.Node.prototype.traverse_ = function(f) {
var current = this;
while (current) {
var left = current.left;
if (left) left.traverse_(f);
f(current);
current = current.right;
}
};
class Benchmark {
runIteration() {
for (let i = 0; i < 50; ++i)
SplayRun();
}
}
SplaySetup();