From f04a7e7942e7acb68c6fa04ad1ee5b5b47be0ec0 Mon Sep 17 00:00:00 2001 From: Jeongho Nam Date: Thu, 11 Aug 2016 10:10:51 +0900 Subject: [PATCH] v1.0 --- .npmignore | 3 +- lib/typescript-stl.d.ts | 89 +- lib/typescript-stl.js | 83 +- package.json | 3 +- ts/include/typescript-stl.js | 4647 +++++++++++++++--------------- ts/include/typescript-stl.js.map | 2 +- ts/src/std/Deque.ts | 16 +- ts/src/std/Iterator.ts | 28 + ts/src/std/List.ts | 16 +- ts/src/std/Vector.ts | 15 +- ts/src/std/base/MapContainer.ts | 8 + ts/src/std/base/SetContainer.ts | 7 +- 12 files changed, 2599 insertions(+), 2318 deletions(-) diff --git a/.npmignore b/.npmignore index b63e269b..905264aa 100644 --- a/.npmignore +++ b/.npmignore @@ -8,4 +8,5 @@ ts wiki *.bat -*.*ignore \ No newline at end of file +*.*ignore +*.d.ts \ No newline at end of file diff --git a/lib/typescript-stl.d.ts b/lib/typescript-stl.d.ts index d05d3bc3..9e491ff2 100644 --- a/lib/typescript-stl.d.ts +++ b/lib/typescript-stl.d.ts @@ -2959,10 +2959,37 @@ declare namespace std { * @author Jeongho Nam */ abstract class ReverseIterator, This extends ReverseIterator> extends Iterator { + /** + * @hidden + */ protected base_: Base; + /** + * Construct from base iterator. + * + * @param base A reference of the base iterator, which iterates in the opposite direction. + */ constructor(base: Base); + /** + *

Return base iterator.

+ * + *

Return a reference of the base iteraotr.

+ * + *

The base iterator is an iterator of the same type as the one used to construct the {@link ReverseIterator}, + * but pointing to the element next to the one the {@link ReverseIterator} is currently pointing to + * (a {@link ReverseIterator} has always an offset of -1 with respect to its base iterator). + * + * @return A reference of the base iterator, which iterates in the opposite direction. + */ base(): Base; + /** + * @hidden + */ protected abstract create_neighbor(): This; + /** + *

Get value of the iterator is pointing.

+ * + * @return A value of the reverse iterator. + */ value: T; /** * @inheritdoc @@ -3463,6 +3490,11 @@ declare namespace std { /** * @inheritdoc */ + /** + * Set value of the iterator is pointing to. + * + * @param val Value to set. + */ value: T; /** * @inheritdoc @@ -3515,13 +3547,20 @@ declare namespace std { * @author Jeongho Nam */ class DequeReverseIterator extends ReverseIterator, DequeReverseIterator> implements base.IArrayIterator { + /** + * Construct from base iterator. + * + * @param base A reference of the base iterator, which iterates in the opposite direction. + */ constructor(base: DequeIterator); /** - * @inheritdoc + * @hidden */ protected create_neighbor(): DequeReverseIterator; /** - * Set value. + * Set value of the iterator is pointing to. + * + * @param val Value to set. */ value: T; /** @@ -4851,7 +4890,15 @@ declare namespace std { * @author Jeongho Nam */ class MapReverseIterator extends ReverseIterator, MapIterator, MapReverseIterator> { + /** + * Construct from base iterator. + * + * @param base A reference of the base iterator, which iterates in the opposite direction. + */ constructor(base: MapIterator); + /** + * @hidden + */ protected create_neighbor(): MapReverseIterator; /** * Get first, key element. @@ -5934,9 +5981,14 @@ declare namespace std { * @author Jeongho Nam */ class SetReverseIterator extends ReverseIterator, SetReverseIterator> { + /** + * Construct from base iterator. + * + * @param base A reference of the base iterator, which iterates in the opposite direction. + */ constructor(base: SetIterator); /** - * @inheritdoc + * @hidden */ protected create_neighbor(): SetReverseIterator; } @@ -7106,6 +7158,11 @@ declare namespace std { /** * @inheritdoc */ + /** + * Set value of the iterator is pointing to. + * + * @param val Value to set. + */ value: T; /** * @inheritdoc @@ -7130,13 +7187,20 @@ declare namespace std { * @author Jeongho Nam */ class ListReverseIterator extends ReverseIterator, ListReverseIterator> { + /** + * Construct from base iterator. + * + * @param base A reference of the base iterator, which iterates in the opposite direction. + */ constructor(base: ListIterator); /** - * @inheritdoc + * @hidden */ protected create_neighbor(): ListReverseIterator; /** - * @inheritdoc + * Set value of the iterator is pointing to. + * + * @param val Value to set. */ value: T; } @@ -9198,7 +9262,9 @@ declare namespace std { * @inheritdoc */ /** - * Set value. + * Set value of the iterator is pointing to. + * + * @param val Value to set. */ value: T; /** @@ -9252,13 +9318,20 @@ declare namespace std { * @author Jeongho Nam */ class VectorReverseIterator extends ReverseIterator, VectorReverseIterator> implements base.IArrayIterator { + /** + * Construct from base iterator. + * + * @param base A reference of the base iterator, which iterates in the opposite direction. + */ constructor(base: VectorIterator); /** - * @inheritdoc + * @hidden */ protected create_neighbor(): VectorReverseIterator; /** - * Set value. + * Set value of the iterator is pointing to. + * + * @param val Value to set. */ value: T; /** diff --git a/lib/typescript-stl.js b/lib/typescript-stl.js index 3c603c0b..5b73465c 100644 --- a/lib/typescript-stl.js +++ b/lib/typescript-stl.js @@ -2051,6 +2051,11 @@ var std; /* --------------------------------------------------------- CONSTRUCTORS --------------------------------------------------------- */ + /** + * Construct from base iterator. + * + * @param base A reference of the base iterator, which iterates in the opposite direction. + */ function ReverseIterator(base) { if (base == null) _super.call(this, null); @@ -2059,6 +2064,17 @@ var std; this.base_ = base.prev(); } } + /** + *

Return base iterator.

+ * + *

Return a reference of the base iteraotr.

+ * + *

The base iterator is an iterator of the same type as the one used to construct the {@link ReverseIterator}, + * but pointing to the element next to the one the {@link ReverseIterator} is currently pointing to + * (a {@link ReverseIterator} has always an offset of -1 with respect to its base iterator). + * + * @return A reference of the base iterator, which iterates in the opposite direction. + */ ReverseIterator.prototype.base = function () { return this.base_.next(); }; @@ -2066,6 +2082,11 @@ var std; /* --------------------------------------------------------- ACCESSORS --------------------------------------------------------- */ + /** + *

Get value of the iterator is pointing.

+ * + * @return A value of the reverse iterator. + */ get: function () { return this.base_.value; }, @@ -2807,6 +2828,11 @@ var std; get: function () { return this.deque.at(this.index_); }, + /** + * Set value of the iterator is pointing to. + * + * @param val Value to set. + */ set: function (val) { this.deque.set(this.index_, val); }, @@ -2906,11 +2932,16 @@ var std; /* --------------------------------------------------------- CONSTRUCTORS --------------------------------------------------------- */ + /** + * Construct from base iterator. + * + * @param base A reference of the base iterator, which iterates in the opposite direction. + */ function DequeReverseIterator(base) { _super.call(this, base); } /** - * @inheritdoc + * @hidden */ DequeReverseIterator.prototype.create_neighbor = function () { return new DequeReverseIterator(null); @@ -2920,7 +2951,9 @@ var std; ACCESSORS --------------------------------------------------------- */ /** - * Set value. + * Set value of the iterator is pointing to. + * + * @param val Value to set. */ set: function (val) { this.base_.value = val; @@ -4287,9 +4320,17 @@ var std; /* --------------------------------------------------------- CONSTRUCTORS --------------------------------------------------------- */ + /** + * Construct from base iterator. + * + * @param base A reference of the base iterator, which iterates in the opposite direction. + */ function MapReverseIterator(base) { _super.call(this, base); } + /** + * @hidden + */ MapReverseIterator.prototype.create_neighbor = function () { return new MapReverseIterator(null); }; @@ -5533,11 +5574,16 @@ var std; /* --------------------------------------------------------- CONSTRUCTORS --------------------------------------------------------- */ + /** + * Construct from base iterator. + * + * @param base A reference of the base iterator, which iterates in the opposite direction. + */ function SetReverseIterator(base) { _super.call(this, base); } /** - * @inheritdoc + * @hidden */ SetReverseIterator.prototype.create_neighbor = function () { return new SetReverseIterator(null); @@ -6815,6 +6861,11 @@ var std; get: function () { return this.value_; }, + /** + * Set value of the iterator is pointing to. + * + * @param val Value to set. + */ set: function (val) { this.value_ = val; }, @@ -6871,11 +6922,16 @@ var std; /* --------------------------------------------------------------- CONSTRUCTORS --------------------------------------------------------------- */ + /** + * Construct from base iterator. + * + * @param base A reference of the base iterator, which iterates in the opposite direction. + */ function ListReverseIterator(base) { _super.call(this, base); } /** - * @inheritdoc + * @hidden */ ListReverseIterator.prototype.create_neighbor = function () { return new ListReverseIterator(null); @@ -6885,7 +6941,9 @@ var std; ACCESSORS --------------------------------------------------------- */ /** - * @inheritdoc + * Set value of the iterator is pointing to. + * + * @param val Value to set. */ set: function (val) { this.base_.value = val; @@ -9216,7 +9274,9 @@ var std; return this.vector.at(this.index_); }, /** - * Set value. + * Set value of the iterator is pointing to. + * + * @param val Value to set. */ set: function (val) { this.vector.set(this.index_, val); @@ -9317,11 +9377,16 @@ var std; /* --------------------------------------------------------- CONSTRUCTORS --------------------------------------------------------- */ + /** + * Construct from base iterator. + * + * @param base A reference of the base iterator, which iterates in the opposite direction. + */ function VectorReverseIterator(base) { _super.call(this, base); } /** - * @inheritdoc + * @hidden */ VectorReverseIterator.prototype.create_neighbor = function () { return new VectorReverseIterator(null); @@ -9331,7 +9396,9 @@ var std; ACCESSORS --------------------------------------------------------- */ /** - * Set value. + * Set value of the iterator is pointing to. + * + * @param val Value to set. */ set: function (val) { this.base_.value = val; diff --git a/package.json b/package.json index 90a3c87d..202d7f85 100644 --- a/package.json +++ b/package.json @@ -7,10 +7,9 @@ "email": "samchon@samchon.org", "url": "http://samchon.org" }, - "version": "1.0.0-rc.8", + "version": "1.0.0", "main": "./lib/typescript-stl.js", - "typings": "./lib/typescript-stl.d.ts", "homepage": "https://github.com/samchon/typescript-stl", "repository": diff --git a/ts/include/typescript-stl.js b/ts/include/typescript-stl.js index d1719260..11746786 100644 --- a/ts/include/typescript-stl.js +++ b/ts/include/typescript-stl.js @@ -1855,1306 +1855,1727 @@ var std; var base; (function (base) { /** - *

Static class holding enumeration codes of color of Red-black tree.

+ *

Red-black Tree.

* - *

Color codes imposed to nodes of RB-Tree are following those rules:

+ *

A red-black tree is a kind of self-balancing + * binary search tree. Each node of the binary tree has an extra bit, and that bit is often interpreted as the + * color (red or black) of the node. These color bits + * are used to ensure the tree remains approximately balanced during insertions and deletions.

+ * + *

Balance is preserved by painting each node of the tree with one of two colors (typically called + * 'red' and 'black') in a way that satisfies certain + * properties, which collectively constrain how unbalanced the tree can become in the worst case. When the tree + * is modified, the new tree is subsequently rearranged and repainted to restore the coloring properties. The + * properties are designed in such a way that this rearranging and recoloring can be performed efficiently.

+ * + *

The balancing of the tree is not perfect but it is good enough to allow it to guarantee searching in + * O(log n) time, where n is the total number of elements in the tree. The insertion and deletion operations, + * along with the tree rearrangement and recoloring, are also performed in O(log n) time.

+ * + *

Tracking the color of each node requires only 1 bit of information per node because there are only two + * colors. The tree does not contain any other data specific to its being a + * red-black tree so its memory footprint is almost + * identical to a classic (uncolored) binary search tree. In many cases the additional bit of information can + * be stored at no additional memory cost.

+ * + *

Properties

+ *

In addition to the requirements imposed on a binary search tree the following must be satisfied by a + * red-black tree:

* *
    *
  1. A node is either red or black.
    2. - *
  2. The root is black. This rule is sometimes omitted. Since the root can - * always be changed from red to black, but not - * necessarily vice versa, this rule has little effect on analysis.
    3. + *
  3. + * The root is black. This rule is sometimes omitted. Since the root can + * always be changed from red to black, but not + * necessarily vice versa, this rule has little effect on analysis. + *
    4. *
  4. All leaves (NIL; null) are black.
    5. - *
  5. If a node is red, then both its children are - * black.
    6. - *
  6. Every path from a given node to any of its descendant NIL nodes contains the same number of - * black nodes. Some definitions: the number of - * black nodes from the root to a node is the node's - * black depth; the uniform number of black - * nodes in all paths from root to the leaves is called the black-height of - * the red-black tree.
    7. + *
  7. + * If a node is red, then both its children are + * black. + *
    8. + *
  8. + * Every path from a given node to any of its descendant NIL nodes contains the same number of + * black nodes. Some definitions: the number of + * black nodes from the root to a node is the node's + * black depth; the uniform number of black + * nodes in all paths from root to the leaves is called the black-height of + * the red-black tree. + *
    9. *
* - * @author Migrated by Jeongho Nam - */ - (function (Color) { - /** - *

Code of color black.

- * - *
    - *
  • Those are clearly black: root, leaf nodes or children nodes of red.
    • - *
  • Every path from a given nodes containes the same number of black nodes exclude NIL(s).
    • - *
- */ - Color[Color["BLACK"] = 0] = "BLACK"; - /** - *

Code of color red.

- */ - Color[Color["RED"] = 1] = "RED"; - })(base.Color || (base.Color = {})); - var Color = base.Color; - })(base = std.base || (std.base = {})); -})(std || (std = {})); -/// -var std; -(function (std) { - var base; - (function (base) { - /** - *

An abstract container.

+ *

* - *

- * - *

+ *

These constraints enforce a critical property of red-black trees: the path from the root to the farthest + * leaf is no more than twice as long as the path from the root to the nearest leaf. The result is that the tree + * is roughly height-balanced. Since operations such as inserting, deleting, and finding values require + * worst-case time proportional to the height of the tree, this theoretical upper bound on the height allows + * red-black trees to be efficient in the worst case, unlike ordinary binary search trees.

* - *

Container properties

- *
- *
Sequence
- *
Elements in sequence containers are ordered in a strict linear sequence. Individual elements are - * accessed by their position in this sequence.
+ *

To see why this is guaranteed, it suffices to consider the effect of properties 4 and 5 together. For a + * red-black tree T, let B be the number of black nodes in property 5. Let the + * shortest possible path from the root of T to any leaf consist of B black nodes. + * Longer possible paths may be constructed by inserting red nodes. However, property 4 + * makes it impossible to insert more than one consecutive red node. Therefore, + * ignoring any black NIL leaves, the longest possible path consists of 2*B nodes, + * alternating black and red (this is the worst case). + * Counting the black NIL leaves, the longest possible path consists of 2*B-1 + * nodes.

* - *
Doubly-linked list
- *
Each element keeps information on how to locate the next and the previous elements, allowing - * constant time insert and erase operations before or after a specific element (even of entire ranges), - * but no direct random access.
- *
+ *

The shortest possible path has all black nodes, and the longest possible + * path alternates between red and black nodes. Since all + * maximal paths have the same number of black nodes, by property 5, this shows + * that no path is more than twice as long as any other path.

* * @param Type of elements. * - * @author Jeongho Nam + * @reference https://en.wikipedia.org/w/index.php?title=Red%E2%80%93black_tree + * @inventor Rudolf Bayer + * @author Migrated by Jeongho Nam */ - var Container = (function () { - function Container() { - var args = []; - for (var _i = 0; _i < arguments.length; _i++) { - args[_i - 0] = arguments[_i]; - } - // THIS IS ABSTRACT CLASS - // NOTHING TO DO ESPECIALLY - } - /** - * @inheritdoc - */ - Container.prototype.clear = function () { - this.erase(this.begin(), this.end()); - }; - /** - * @inheritdoc - */ - Container.prototype.empty = function () { - return this.size() == 0; - }; - /* --------------------------------------------------------------- - UTILITIES - --------------------------------------------------------------- */ + var XTree = (function () { + /* ========================================================= + CONSTRUCTOR + ========================================================= */ /** - * @inheritdoc + * Default Constructor. */ - Container.prototype.swap = function (obj) { - var supplement = new std.Vector(this.begin(), this.end()); - this.assign(obj.begin(), obj.end()); - obj.assign(supplement.begin(), supplement.end()); - }; - return Container; - }()); - base.Container = Container; - })(base = std.base || (std.base = {})); -})(std || (std = {})); -/// -var std; -(function (std) { - var base; - (function (base) { - /** - *

An abstract error instance.

- * - *

{@link ErrorInstance} is an abstract class of {@link ErrorCode} and {@link ErrorCondition} - * holding an error instance's identifier {@link value}, associated with a {@link category}.

- * - *

The operating system and other low-level applications and libraries generate numerical error codes to - * represent possible results. These numerical values may carry essential information for a specific platform, - * but be non-portable from one platform to another.

- * - *

Objects of this class associate such numerical codes to {@link ErrorCategory error categories}, - * so that they can be interpreted when needed as more abstract (and portable) - * {@link ErrorCondition error conditions}.

- * - *

- *

- * - * @author Jeongho Nam - */ - var ErrorInstance = (function () { - function ErrorInstance(val, category) { - if (val === void 0) { val = 0; } - if (category === void 0) { category = null; } - this.assign(val, category); + function XTree() { + this.root_ = null; } + XTree.prototype.clear = function () { + this.root_ = null; + }; + /* ========================================================= + ACCESSORS + - GETTERS + - COMPARISON + ============================================================ + GETTERS + --------------------------------------------------------- */ /** - *

Assign error instance.

- * - *

Assigns the {@link ErrorCode} object a value of val associated with the {@link ErrorCategory}.

+ * Find a node from its contained value. * - * @param val A numerical value identifying an error instance. - * @param category A reference to an {@link ErrorCategory} object. + * @param val Value to find. */ - ErrorInstance.prototype.assign = function (val, category) { - this.category_ = category; - this.value_ = val; + XTree.prototype.find = function (val) { + if (this.root_ == null) + return null; + var node = this.root_; + while (true) { + var newNode = null; + if (this.is_equal_to(val, node.value)) + break; // EQUALS, MEANS MATCHED, THEN TERMINATE + else if (this.is_less(val, node.value)) + newNode = node.left; // LESS, THEN TO THE LEFT + else + newNode = node.right; // GREATER, THEN TO THE RIGHT + // ULTIL CHILD NODE EXISTS + if (newNode == null) + break; + // SHIFT A NEW NODE TO THE NODE TO BE RETURNED + node = newNode; + } + return node; }; /** - *

Clear error instance.

+ * Fetch maximum (the rightes?) node from one. * - *

Clears the value in the {@link ErrorCode} object so that it is set to a value of 0 of the - * {@link ErrorCategory.systemCategory ErrorCategory.systemCategory()} (indicating no error).

+ * @param node A node to fetch its maximum node. + * @return The maximum node. */ - ErrorInstance.prototype.clear = function () { - this.value_ = 0; + XTree.prototype.fetch_maximum = function (node) { + while (node.right != null) + node = node.right; + return node; }; - /* --------------------------------------------------------- - ACCESSORS + /* ========================================================= + ELEMENTS I/O + - INSERT + - ERASE + - COLOR + - ROTATION + ============================================================ + INSERT --------------------------------------------------------- */ /** - *

Get category.

- * - *

Returns a reference to the {@link ErrorCategory} associated with the {@link ErrorCode} object.

+ *

Insert an element with a new node.

* - * @return A reference to a non-copyable object of a type derived from {@link ErrorCategory}. - */ - ErrorInstance.prototype.category = function () { - return this.category_; - }; - /** - *

Error value.

+ *

Insertion begins by adding the node as any binary search tree insertion does and by coloring it + * red. Whereas in the binary search tree, we always add a leaf, in the red-black + * tree, leaves contain no information, so instead we add a red interior node, with + * two black leaves, in place of an existing + * black leaf.

* - *

Returns the error value associated with the {@link ErrorCode} object.

+ *

What happens next depends on the color of other nearby nodes. The term uncle node will be used to + * refer to the sibling of a node's parent, as in human family trees. Note that:

* - * @return The error value. - */ - ErrorInstance.prototype.value = function () { - return this.value_; - }; - /** - *

Get message.

+ *
    + *
  • property 3 (all leaves are black) always holds.
    • + *
  • + * property 4 (both children of every red node are + * black) is threatened only by adding a red + * node, repainting a black node red, or a + * rotation. + *
    • + *
  • + * property 5 (all paths from any given node to its leaf nodes contain the same number of + * black nodes) is threatened only by adding a + * black node, repainting a red node + * black (or vice versa), or a rotation. + *
    • + *
* - *

Returns the message associated with the error instance.

+ *

Notes

+ *
    + *
  1. + * The label N will be used to denote the current node (colored + * red). In the diagrams N carries a blue contour. At the + * beginning, this is the new node being inserted, but the entire procedure may also be applied + * recursively to other nodes (see case 3). {@link XTreeNode.parent P} will denote + * N's parent node, {@link XTreeNode.grand_parent G} will denote N's + * grandparent, and {@link XTreeNode.uncle U} will denote N's uncle. In between + * some cases, the roles and labels of the nodes are exchanged, but in each case, every label continues + * to represent the same node it represented at the beginning of the case. + *
    2. + *
  2. + * If a node in the right (target) half of a diagram carries a blue contour it will become the current + * node in the next iteration and there the other nodes will be newly assigned relative to it. Any + * color shown in the diagram is either assumed in its case or implied by those assumptions. + *
    3. + *
  3. + * A numbered triangle represents a subtree of unspecified depth. A black + * circle atop a triangle means that black-height of subtree is greater + * by one compared to subtree without this circle.
    4. + *
* - *

Error messages are defined by the {@link category} the error instance belongs to.

+ *

There are several cases of red-black tree insertion to handle:

* - *

This function returns the same as if the following member was called:

+ *
    + *
  • N is the root node, i.e., first node of red-black tree.
    • + *
  • + * N's parent ({@link XTreeNode.parent P}) is black. + *
    • + *
  • + * N's parent ({@link XTreeNode.parent P}) and uncle + * ({@link XTreeNode.uncle U}) are red. + *
    • + *
  • + * N is added to right of left child of grandparent, or N is added to left + * of right child of grandparent ({@link XTreeNode.parent P} is red and + * {@link XTreeNode.uncle U} is black). + *
    • + *
  • + * N is added to left of left child of grandparent, or N is added to right + * of right child of grandparent ({@link XTreeNode.parent P} is red and + * {@link XTreeNode.uncle U} is black). + *
    • + *
* - *

category().message(value())

+ *

Note

+ *

Note that inserting is actually in-place, since all the calls above use tail recursion.

* - * @return A string object with the message associated with the {@link ErrorCode}. + *

In the algorithm above, all cases are chained in order, except in insert case 3 where it can recurse + * to case 1 back to the grandparent node: this is the only case where an iterative implementation will + * effectively loop. Because the problem of repair is escalated to the next higher level but one, it takes + * maximally h⁄2 iterations to repair the tree (where h is the height of the tree). Because the probability + * for escalation decreases exponentially with each iteration the average insertion cost is constant.

+ * + * @param val An element to insert. */ - ErrorInstance.prototype.message = function () { - if (this.category_ == null || this.value_ == 0) - return ""; - else - return this.category_.message(this.value_); + XTree.prototype.insert = function (val) { + var parent = this.find(val); + var node = new base.XTreeNode(val, base.Color.RED); + if (parent == null) + this.root_ = node; + else { + node.parent = parent; + if (this.is_less(node.value, parent.value)) + parent.left = node; + else + parent.right = node; + } + this.insert_case1(node); }; /** - *

Default error condition.

- * - *

Returns the default {@link ErrorCondition}object associated with the {@link ErrorCode} object.

- * - *

This function returns the same as if the following member was called:

+ *

N is the root node, i.e., first node of red-black tree.

* - *

category().default_error_condition(value())

+ *

The current node N is at the {@link root_ root} of the tree.

* - *

{@link ErrorCategory.default_error_condition ErrorCategory.default_error_condition()} - * is a virtual member function, that can operate differently for each category.

+ *

In this case, it is repainted black to satisfy property 2 (the root is + * black). Since this adds one black node to + * every path at once, property 5 (all paths from any given node to its leaf nodes contain the same number + * of black nodes) is not violated.

* - * @return An {@link ErrorCondition}object that corresponds to the {@link ErrorCode} object. + * @param N A node to be inserted or swapped. */ - ErrorInstance.prototype.default_error_condition = function () { - if (this.category_ == null || this.value_ == 0) - return null; + XTree.prototype.insert_case1 = function (N) { + if (N.parent == null) + N.color = base.Color.BLACK; else - return this.category_.default_error_condition(this.value_); + this.insert_case2(N); }; - /* --------------------------------------------------------- - OPERATORS - --------------------------------------------------------- */ /** - *

Convert to bool.

+ *

N's parent ({@link XTreeNode.parent P}) is black.

* - *

Returns whether the error instance has a numerical {@link value} other than 0.

+ *

The current node's parent {@link XTreeNode.parent P} is black, + * so property 4 (both children of every red node are + * black) is not invalidated.

* - *

If it is zero (which is generally used to represent no error), the function returns false, otherwise it returns true.

+ *

In this case, the tree is still valid. Property 5 (all paths from any given node to its leaf nodes + * contain the same number of black nodes) is not threatened, because the + * current node N has two black leaf children, but because + * N is red, the paths through each of its children have the same + * number of black nodes as the path through the leaf it replaced, which was + * black, and so this property remains satisfied.

* - * @return true if the error's numerical value is not zero. - * false otherwise. + * @param N A node to be inserted or swapped. */ - ErrorInstance.prototype.to_bool = function () { - return this.value_ != 0; + XTree.prototype.insert_case2 = function (N) { + if (this.fetch_color(N.parent) == base.Color.BLACK) + return; + else + this.insert_case3(N); }; - return ErrorInstance; - }()); - base.ErrorInstance = ErrorInstance; - })(base = std.base || (std.base = {})); -})(std || (std = {})); -/// -var std; -(function (std) { - var base; - (function (base) { - (function (Hash) { - Hash[Hash["MIN_SIZE"] = 10] = "MIN_SIZE"; - Hash[Hash["RATIO"] = 1] = "RATIO"; - Hash[Hash["MAX_RATIO"] = 2] = "MAX_RATIO"; - })(base.Hash || (base.Hash = {})); - var Hash = base.Hash; - /** - *

Hask buckets.

- * - * @author Jeongho Nam - */ - var HashBuckets = (function () { - /* --------------------------------------------------------- - CONSTRUCTORS - --------------------------------------------------------- */ - /** - * Default Constructor. - */ - function HashBuckets() { - this.clear(); - } /** - *

Reconstruction of hash table.

+ *

N's parent ({@link XTreeNode.parent P}) and uncle + * ({@link XTreeNode.uncle U}) are red.

* - *

All the elements in the hash buckets are rearranged according to their hash value into the new set of - * buckets. This may alter the order of iteration of elements within the container.

+ *

If both the parent {@link XTreeNode.parent P} and the uncle {@link XTreeNode.uncle U} + * are red, then both of them can be repainted black + * and the grandparent {@link XTreeNode.grand_parent G} becomes red (to + * maintain property 5 (all paths from any given node to its leaf nodes contain the same number of + * black nodes)).

* - *

Notice that {@link rehash rehashes} are automatically performed whenever its number of elements is going - * to greater than its own {@link capacity}.

+ *

Now, the current red node N has a + * black parent. Since any path through the parent or uncle must pass through + * the grandparent, the number of black nodes on these paths has not changed. * - * @param size Number of bucket size to rehash. + *

However, the grandparent {@link XTreeNode.grand_parent G} may now violate properties 2 (The + * root is black) or 4 (Both children of every red + * node are black) (property 4 possibly being violated since + * {@link XTreeNode.grand_parent G} may have a red parent).

+ * + *

To fix this, the entire procedure is recursively performed on {@link XTreeNode.grand_parent G} + * from case 1. Note that this is a tail-recursive call, so it could be rewritten as a loop; since this is + * the only loop, and any rotations occur after this loop, this proves that a constant number of rotations + * occur.

+ * + *

+ * + * @param N A node to be inserted or swapped. */ - HashBuckets.prototype.rehash = function (size) { - if (size < Hash.MIN_SIZE) - size = Hash.MIN_SIZE; - var prev_matrix = this.buckets_; - this.buckets_ = new std.Vector(); - for (var i = 0; i < size; i++) - this.buckets_.push_back(new std.Vector()); - for (var i = 0; i < prev_matrix.size(); i++) - for (var j = 0; j < prev_matrix.at(i).size(); j++) { - var val = prev_matrix.at(i).at(j); - var bucket = this.buckets_.at(this.hash_index(val)); - bucket.push_back(val); - this.item_size_++; - } - }; - HashBuckets.prototype.clear = function () { - this.buckets_ = new std.Vector(); - this.item_size_ = 0; - for (var i = 0; i < Hash.MIN_SIZE; i++) - this.buckets_.push_back(new std.Vector()); + XTree.prototype.insert_case3 = function (N) { + if (this.fetch_color(N.uncle) == base.Color.RED) { + N.parent.color = base.Color.BLACK; + N.uncle.color = base.Color.BLACK; + N.grand_parent.color = base.Color.RED; + this.insert_case1(N.grand_parent); + } + else { + this.insert_case4(N); + } }; - /* --------------------------------------------------------- - ACCESSORS - --------------------------------------------------------- */ - HashBuckets.prototype.size = function () { - return this.buckets_.size(); + /** + *

N is added to right of left child of grandparent, or N is added to left + * of right child of grandparent ({@link XTreeNode.parent P} is red and + * {@link XTreeNode.uncle U} is black).

+ * + *

The parent {@link XTreeNode.parent P} is red but the uncle + * {@link XTreeNode.uncle U} is black; also, the current node + * N is the right child of {@link XTreeNode.parent P}, and + * {@link XTreeNode.parent P} in turn is the left child of its parent + * {@link XTreeNode.grand_parent G}.

+ * + *

In this case, a left rotation on {@link XTreeNode.parent P} that switches the roles of the + * current node N and its parent {@link XTreeNode.parent P} can be performed; then, + * the former parent node {@link XTreeNode.parent P} is dealt with using case 5 + * (relabeling N and {@link XTreeNode.parent P}) because property 4 (both children of + * every red node are black) is still violated.

+ * + *

The rotation causes some paths (those in the sub-tree labelled "1") to pass through the node + * N where they did not before. It also causes some paths (those in the sub-tree labelled "3") + * not to pass through the node {@link XTreeNode.parent P} where they did before. However, both of + * these nodes are red, so property 5 (all paths from any given node to its leaf + * nodes contain the same number of black nodes) is not violated by the + * rotation.

+ * + *

After this case has been completed, property 4 (both children of every red + * node are black) is still violated, but now we can resolve this by + * continuing to case 5.

+ * + *

+ * + * @param N A node to be inserted or swapped. + */ + XTree.prototype.insert_case4 = function (node) { + if (node == node.parent.right && node.parent == node.grand_parent.left) { + this.rotate_left(node.parent); + node = node.left; + } + else if (node == node.parent.left && node.parent == node.grand_parent.right) { + this.rotate_right(node.parent); + node = node.right; + } + this.insert_case5(node); + }; + /** + *

N is added to left of left child of grandparent, or N is added to right + * of right child of grandparent ({@link XTreeNode.parent P} is red and + * {@link XTreeNode.uncle U} is black).

+ * + *

The parent {@link XTreeNode.parent P} is red but the uncle + * {@link XTreeNode.uncle U} is black, the current node N + * is the left child of {@link XTreeNode.parent P}, and {@link XTreeNode.parent P} is the left + * child of its parent {@link XTreeNode.grand_parent G}.

+ * + *

In this case, a right rotation on {@link XTreeNode.grand_parent G} is performed; the result is a + * tree where the former parent {@link XTreeNode.parent P} is now the parent of both the current node + * N and the former grandparent {@link XTreeNode.grand_parent G}.

+ * + *

{@link XTreeNode.grand_parent G} is known to be black, since its + * former child {@link XTreeNode.parent P} could not have been red otherwise + * (without violating property 4). Then, the colors of {@link XTreeNode.parent P} and + * {@link XTreeNode.grand_parent G} are switched, and the resulting tree satisfies property 4 (both + * children of every red node are black). Property 5 + * (all paths from any given node to its leaf nodes contain the same number of + * black nodes) also remains satisfied, since all paths that went through any + * of these three nodes went through {@link XTreeNode.grand_parent G} before, and now they all go + * through {@link XTreeNode.parent P}. In each case, this is the only + * black node of the three.

+ * + *

+ * + * @param N A node to be inserted or swapped. + */ + XTree.prototype.insert_case5 = function (node) { + node.parent.color = base.Color.BLACK; + node.grand_parent.color = base.Color.RED; + if (node == node.parent.left && node.parent == node.grand_parent.left) + this.rotate_right(node.grand_parent); + else + this.rotate_left(node.grand_parent); + }; + /* --------------------------------------------------------- + ERASE + --------------------------------------------------------- */ + /** + *

Erase an element with its node.

+ * + *

In a regular binary search tree when deleting a node with two non-leaf children, we find either the + * maximum element in its left subtree (which is the in-order predecessor) or the minimum element in its + * right subtree (which is the in-order successor) and move its value into the node being deleted (as shown + * here). We then delete the node we copied the value from, which must have fewer than two non-leaf children. + * (Non-leaf children, rather than all children, are specified here because unlike normal binary search + * trees, red-black trees can have leaf nodes anywhere, so that all nodes are either internal nodes with + * two children or leaf nodes with, by definition, zero children. In effect, internal nodes having two leaf + * children in a red-black tree are like the leaf nodes in a regular binary search tree.) Because merely + * copying a value does not violate any red-black properties, this reduces to the problem of deleting a node + * with at most one non-leaf child. Once we have solved that problem, the solution applies equally to the + * case where the node we originally want to delete has at most one non-leaf child as to the case just + * considered where it has two non-leaf children.

+ * + *

Therefore, for the remainder of this discussion we address the deletion of a node with at most one + * non-leaf child. We use the label M to denote the node to be deleted; C will denote a + * selected child of M, which we will also call "its child". If M does have a non-leaf child, + * call that its child, C; otherwise, choose either leaf as its child, C.

+ * + *

If M is a red node, we simply replace it with its child C, + * which must be black by property 4. (This can only occur when M has + * two leaf children, because if the red node M had a + * black non-leaf child on one side but just a leaf child on the other side, + * then the count of black nodes on both sides would be different, thus the + * tree would violate property 5.) All paths through the deleted node will simply pass through one fewer + * red node, and both the deleted node's parent and child must be + * black, so property 3 (all leaves are black) + * and property 4 (both children of every red node are + * black) still hold.

+ * + *

Another simple case is when M is black and C is + * red. Simply removing a black node could break + * Properties 4 (“Both children of every red node are + * black”) and 5 (“All paths from any given node to its leaf nodes contain the + * same number of black nodes”), but if we repaint C + * black, both of these properties are preserved.

+ * + *

The complex case is when both M and C are black. (This + * can only occur when deleting a black node which has two leaf children, + * because if the black node M had a black + * non-leaf child on one side but just a leaf child on the other side, then the count of + * black nodes on both sides would be different, thus the tree would have been + * an invalid red-black tree by violation of property 5.) We begin by replacing M with its child + * C. We will relabel this child C (in its new position) N, and its sibling (its + * new parent's other child) {@link XTreeNode.sibling S}. ({@link XTreeNode.sibling S} was + * previously the sibling of M.)

+ * + *

In the diagrams below, we will also use {@link XTreeNode.parent P} for N's new + * parent (M's old parent), SL for {@link XTreeNode.sibling S}'s left child, and + * SR for {@link XTreeNode.sibling S}'s right child ({@link XTreeNode.sibling S} cannot + * be a leaf because if M and C were black, then + * {@link XTreeNode.parent P}'s one subtree which included M counted two + * black-height and thus {@link XTreeNode.parent P}'s other subtree + * which includes {@link XTreeNode.sibling S} must also count two + * black-height, which cannot be the case if {@link XTreeNode.sibling S} + * is a leaf node).

+ * + *

Notes

+ *
    + *
  1. + * The label N will be used to denote the current node (colored + * black). In the diagrams N carries a blue contour. At the + * beginning, this is the replacement node and a leaf, but the entire procedure may also be applied + * recursively to other nodes (see case 3). In between some cases, the roles and labels of the nodes + * are exchanged, but in each case, every label continues to represent the same node it represented at + * the beginning of the case. + *
    2. + *
  2. + * If a node in the right (target) half of a diagram carries a blue contour it will become the current + * node in the next iteration and there the other nodes will be newly assigned relative to it. Any + * color shown in the diagram is either assumed in its case or implied by those assumptions. + * White represents an arbitrary color (either red or + * black), but the same in both halves of the diagram. + *
    3. + *
  3. + * A numbered triangle represents a subtree of unspecified depth. A black + * circle atop a triangle means that black-height of subtree is greater + * by one compared to subtree without this circle. + *
    4. + *
+ * + *

If both N and its original parent are black, then + * deleting this original parent causes paths which proceed through N to have one fewer + * black node than paths that do not. As this violates property 5 (all paths + * from any given node to its leaf nodes contain the same number of black + * nodes), the tree must be rebalanced. There are several cases to consider:

+ * + *
    + *
  1. N is the new root.
    2. + *
  2. {@link XTreeNode.sibling S} is red.
    3. + *
  3. + * {@link XTreeNode.parent P}, {@link XTreeNode.sibling S}, and + * {@link XTreeNode.sibling S}'s children are black.
    4. + *
  4. + * {@link XTreeNode.sibling S} and {@link XTreeNode.sibling S}'s children are + * black, but {@link XTreeNode.parent P} is + * red. + *
    5. + *
  5. + * {@link XTreeNode.sibling S} is black, + * {@link XTreeNode.sibling S}'s left child is red, + * {@link XTreeNode.sibling S}'s right child is black, and + * N is the left child of its parent. + *
    6. + *
  6. + * {@link XTreeNode.sibling S} is black, + * {@link XTreeNode.sibling S}'s right child is red, and + * N is the left child of its parent {@link XTreeNode.parent P}. + *
    7. + *
+ * + *

Again, the function calls all use tail recursion, so the algorithm is in-place.

+ * + *

In the algorithm above, all cases are chained in order, except in delete case 3 where it can recurse + * to case 1 back to the parent node: this is the only case where an iterative implementation will + * effectively loop. No more than h loops back to case 1 will occur (where h is the height of the tree). + * And because the probability for escalation decreases exponentially with each iteration the average + * removal cost is constant.

+ * + *

Additionally, no tail recursion ever occurs on a child node, so the tail recursion loop can only + * move from a child back to its successive ancestors. If a rotation occurs in case 2 (which is the only + * possibility of rotation within the loop of cases 1–3), then the parent of the node N + * becomes red after the rotation and we will exit the loop. Therefore, at most one + * rotation will occur within this loop. Since no more than two additional rotations will occur after + * exiting the loop, at most three rotations occur in total.

+ * + * @param val An element to erase. + */ + XTree.prototype.erase = function (val) { + var node = this.find(val); + if (node == null || this.is_equal_to(val, node.value) == false) + return; + if (node.left != null && node.right != null) { + var pred = this.fetch_maximum(node.left); + node.value = pred.value; + node = pred; + } + var child = (node.right == null) ? node.left : node.right; + if (this.fetch_color(node) == base.Color.BLACK) { + node.color = this.fetch_color(child); + this.erase_case1(node); + } + this.replace_node(node, child); + }; + /** + *

N is the new root.

+ * + *

In this case, we are done. We removed one black node from every path, + * and the new root is black, so the properties are preserved.

+ * + *

Note

+ *

In cases 2, 5, and 6, we assume N is the left child of its parent + * {@link XTreeNode.parent P}. If it is the right child, left and right should be reversed throughout + * these three cases. Again, the code examples take both cases into account.

+ * + * @param N A node to be erased or swapped. + */ + XTree.prototype.erase_case1 = function (N) { + if (N.parent == null) + return; + else + this.erase_case2(N); + }; + /** + *

{@link XTreeNode.sibling S} is red.

+ * + *

+ * + *

In this case we reverse the colors of {@link XTreeNode.parent P} and + * {@link XTreeNode.sibling S}, and then rotate left at {@link XTreeNode.parent P}, turning + * {@link XTreeNode.sibling S} into N's grandparent.

+ * + *

Note that {@link XTreeNode.parent P} has to be black as it had a + * red child. The resulting subtree has a path short one + * black node so we are not done. Now N has a + * black sibling and a red parent, so we can proceed + * to step 4, 5, or 6. (Its new sibling is black because it was once the child + * of the red {@link XTreeNode.sibling S}.) In later cases, we will re-label + * N's new sibling as {@link XTreeNode.sibling S}.

+ * + * @param N A node to be erased or swapped. + */ + XTree.prototype.erase_case2 = function (N) { + if (this.fetch_color(N.sibling) == base.Color.RED) { + N.parent.color = base.Color.RED; + N.sibling.color = base.Color.BLACK; + if (N == N.parent.left) + this.rotate_left(N.parent); + else + this.rotate_right(N.parent); + } + this.erase_case3(N); }; - HashBuckets.prototype.item_size = function () { - return this.item_size_; + /** + *

{@link XTreeNode.parent P}, {@link XTreeNode.sibling S}, and {@link XTreeNode.sibling + * S}'s children are black.

+ * + *

+ * + *

In this case, we simply repaint {@link XTreeNode.sibling S} red. The + * result is that all paths passing through {@link XTreeNode.sibling S}, which are precisely those + * paths not passing through N, have one less black node. + * Because deleting N's original parent made all paths passing through N have + * one less black node, this evens things up.

+ * + *

However, all paths through {@link XTreeNode.parent P} now have one fewer + * black node than paths that do not pass through + * {@link XTreeNode.parent P}, so property 5 (all paths from any given node to its leaf nodes contain + * the same number of black nodes) is still violated.

+ * + *

To correct this, we perform the rebalancing procedure on {@link XTreeNode.parent P}, starting + * at case 1.

+ * + * @param N A node to be erased or swapped. + */ + XTree.prototype.erase_case3 = function (N) { + if (this.fetch_color(N.parent) == base.Color.BLACK && + this.fetch_color(N.sibling) == base.Color.BLACK && + this.fetch_color(N.sibling.left) == base.Color.BLACK && + this.fetch_color(N.sibling.right) == base.Color.BLACK) { + N.sibling.color = base.Color.RED; + this.erase_case1(N.parent); + } + else + this.erase_case4(N); }; - HashBuckets.prototype.capacity = function () { - return this.buckets_.size() * Hash.MAX_RATIO; + /** + *

{@link XTreeNode.sibling S} and {@link XTreeNode.sibling S}'s children are + * black, but {@link XTreeNode.parent P} is red.

+ * + *

+ * + *

In this case, we simply exchange the colors of {@link XTreeNode.sibling S} and + * {@link XTreeNode.parent P}. This does not affect the number of black + * nodes on paths going through {@link XTreeNode.sibling S}, but it does add one to the number of + * black nodes on paths going through N, making up for the + * deleted black node on those paths.

+ * + * @param N A node to be erased or swapped. + */ + XTree.prototype.erase_case4 = function (N) { + if (this.fetch_color(N.parent) == base.Color.RED && + N.sibling != null && + this.fetch_color(N.sibling) == base.Color.BLACK && + this.fetch_color(N.sibling.left) == base.Color.BLACK && + this.fetch_color(N.sibling.right) == base.Color.BLACK) { + N.sibling.color = base.Color.RED; + N.parent.color = base.Color.BLACK; + } + else + this.erase_case5(N); }; - HashBuckets.prototype.at = function (index) { - return this.buckets_.at(index); + /** + *

{@link XTreeNode.sibling S} is black, {@link XTreeNode.sibling S}'s + * left child is red, {@link XTreeNode.sibling S}'s right child is + * black, and N is the left child of its parent.

+ * + *

+ * + *

In this case we rotate right at {@link XTreeNode.sibling S}, so that + * {@link XTreeNode.sibling S}'s left child becomes {@link XTreeNode.sibling S}'s parent and + * N's new sibling. We then exchange the colors of {@link XTreeNode.sibling S} and its + * new parent.

+ * + *

All paths still have the same number of black nodes, but now + * N has a black sibling whose right child is + * red, so we fall into case 6. Neither N nor its parent are affected + * by this transformation. (Again, for case 6, we relabel N's new sibling as + * {@link XTreeNode.sibling S}.)

+ * + * @param N A node to be erased or swapped. + */ + XTree.prototype.erase_case5 = function (N) { + if (N == N.parent.left && + N.sibling != null && + this.fetch_color(N.sibling) == base.Color.BLACK && + this.fetch_color(N.sibling.left) == base.Color.RED && + this.fetch_color(N.sibling.right) == base.Color.BLACK) { + N.sibling.color = base.Color.RED; + N.sibling.left.color = base.Color.BLACK; + this.rotate_right(N.sibling); + } + else if (N == N.parent.right && + N.sibling != null && + this.fetch_color(N.sibling) == base.Color.BLACK && + this.fetch_color(N.sibling.left) == base.Color.BLACK && + this.fetch_color(N.sibling.right) == base.Color.RED) { + N.sibling.color = base.Color.RED; + N.sibling.right.color = base.Color.BLACK; + this.rotate_left(N.sibling); + } }; - HashBuckets.prototype.hash_index = function (val) { - return std.hash(val) % this.buckets_.size(); + /** + *

{@link XTreeNode.sibling S} is black, + * {@link XTreeNode.sibling S}'s right child is red, and N is + * the left child of its parent {@link XTreeNode.parent P}.

+ * + *

In this case we rotate left at {@link XTreeNode.parent P}, so that + * {@link XTreeNode.sibling S} becomes the parent of {@link XTreeNode.parent P} and + * {@link XTreeNode.sibling S}'s right child. We then exchange the colors of + * {@link XTreeNode.parent P} and {@link XTreeNode.sibling S}, and make + * {@link XTreeNode.sibling S}'s right child black.

+ * + *

The subtree still has the same color at its root, so Properties 4 (Both children of every + * red node are black) and 5 (All paths from any + * given node to its leaf nodes contain the same number of black nodes) are + * not violated. However, N now has one additional black + * ancestor: either {@link XTreeNode.parent P} has become black, or it + * was black and {@link XTreeNode.sibling S} was added as a + * black grandparent.

+ * + *

Thus, the paths passing through N pass through one additional + * black node.

+ * + *

+ * + *

Meanwhile, if a path does not go through N, then there are two possibilities:

+ *
    + *
  1. + * It goes through N's new sibling SL, a node with arbitrary color and the root of + * the subtree labeled 3 (s. diagram). Then, it must go through {@link XTreeNode.sibling S} and + * {@link XTreeNode.parent P}, both formerly and currently, as they have only exchanged colors + * and places. Thus the path contains the same number of black nodes. + *
    2. + *
  2. + * It goes through N's new uncle, {@link XTreeNode.sibling S}'s right child. Then, + * it formerly went through {@link XTreeNode.sibling S}, {@link XTreeNode.sibling S}'s + * parent, and {@link XTreeNode.sibling S}'s right child SR (which was + * red), but now only goes through {@link XTreeNode.sibling S}, which + * has assumed the color of its former parent, and {@link XTreeNode.sibling S}'s right child, + * which has changed from red to black (assuming + * {@link XTreeNode.sibling S}'s color: black). The net effect is + * that this path goes through the same number of black nodes. + *
    3. + *
+ * + *

Either way, the number of black nodes on these paths does not change. + * Thus, we have restored Properties 4 (Both children of every red node are + * black) and 5 (All paths from any given node to its leaf nodes contain the + * same number of black nodes). The white node in the diagram can be either + * red or black, but must refer to the same color + * both before and after the transformation.

+ * + * @param N A node to be erased or swapped. + */ + XTree.prototype.erase_case6 = function (node) { + node.sibling.color = this.fetch_color(node.parent); + node.parent.color = base.Color.BLACK; + if (node == node.parent.left) { + node.sibling.right.color = base.Color.BLACK; + this.rotate_left(node.parent); + } + else { + node.sibling.left.color = base.Color.BLACK; + this.rotate_right(node.parent); + } }; /* --------------------------------------------------------- - ELEMENTS I/O + ROTATION --------------------------------------------------------- */ - HashBuckets.prototype.insert = function (val) { - this.buckets_.at(this.hash_index(val)).push_back(val); - if (++this.item_size_ > this.capacity()) - this.rehash(this.item_size_ * Hash.RATIO); + /** + * Rotate a node left. + * + * @param node Node to rotate left. + */ + XTree.prototype.rotate_left = function (node) { + var right = node.right; + this.replace_node(node, right); + node.right = right.left; + if (right.left != null) + right.left.parent = node; + right.left = node; + node.parent = right; }; - HashBuckets.prototype.erase = function (val) { - var bucket = this.buckets_.at(this.hash_index(val)); - for (var i = 0; i < bucket.size(); i++) - if (bucket.at(i) == val) { - bucket.splice(i, 1); - this.item_size_--; - break; - } + /** + * Rotate a node to right. + * + * @param node A node to rotate right. + */ + XTree.prototype.rotate_right = function (node) { + var left = node.left; + this.replace_node(node, left); + node.left = left.right; + if (left.right != null) + left.right.parent = node; + left.right = node; + node.parent = left; + }; + /** + * Replace a node. + * + * @param oldNode Ordinary node to be replaced. + * @param newNode Target node to replace. + */ + XTree.prototype.replace_node = function (oldNode, newNode) { + if (oldNode.parent == null) + this.root_ = newNode; + else { + if (oldNode == oldNode.parent.left) + oldNode.parent.left = newNode; + else + oldNode.parent.right = newNode; + } + if (newNode != null) + newNode.parent = oldNode.parent; + }; + /* --------------------------------------------------------- + COLOR + --------------------------------------------------------- */ + /** + * Fetch color from a node. + * + * @param node A node to fetch color. + * @retur color. + */ + XTree.prototype.fetch_color = function (node) { + if (node == null) + return base.Color.BLACK; + else + return node.color; }; - return HashBuckets; + return XTree; }()); - base.HashBuckets = HashBuckets; - })(base = std.base || (std.base = {})); -})(std || (std = {})); -/// -/// -var std; -(function (std) { - var base; - (function (base) { - /** - *

Hash buckets storing {@link MapIterator MapIterators}.

- * - *

- * - *

- * - * @author Jeongho Nam - */ - var MapHashBuckets = (function (_super) { - __extends(MapHashBuckets, _super); - function MapHashBuckets(map) { - _super.call(this); - this.map = map; - } - MapHashBuckets.prototype.find = function (key) { - var index = std.hash(key) % this.size(); - var bucket = this.at(index); - for (var i = 0; i < bucket.size(); i++) - if (std.equal_to(bucket.at(i).first, key)) - return bucket.at(i); - return this.map.end(); - }; - return MapHashBuckets; - }(base.HashBuckets)); - base.MapHashBuckets = MapHashBuckets; + base.XTree = XTree; })(base = std.base || (std.base = {})); })(std || (std = {})); /// -/// +/// var std; (function (std) { var base; (function (base) { /** - *

Hash buckets storing {@link SetIterator SetIterators}.

+ *

A red-black Tree storing {@link SetIterator SetIterators}.

* - *

- * - *

+ *

+ *

* * @author Jeongho Nam */ - var SetHashBuckets = (function (_super) { - __extends(SetHashBuckets, _super); - function SetHashBuckets(set) { + var AtomicTree = (function (_super) { + __extends(AtomicTree, _super); + /* --------------------------------------------------------- + CONSTRUCTOR + --------------------------------------------------------- */ + /** + * Default Constructor. + */ + function AtomicTree(set, compare) { + if (compare === void 0) { compare = std.less; } _super.call(this); - this.set = set; + this.set_ = set; + this.compare_ = compare; } - SetHashBuckets.prototype.find = function (val) { - var index = std.hash(val) % this.size(); - var bucket = this.at(index); - for (var i = 0; i < bucket.size(); i++) - if (std.equal_to(bucket.at(i).value, val)) - return bucket.at(i); - return this.set.end(); + AtomicTree.prototype.find = function (val) { + if (val instanceof std.SetIterator && val.value instanceof std.SetIterator == false) + return _super.prototype.find.call(this, val); + else + return this.find_by_val(val); }; - return SetHashBuckets; - }(base.HashBuckets)); - base.SetHashBuckets = SetHashBuckets; - })(base = std.base || (std.base = {})); -})(std || (std = {})); -/// -/// -/// -/// -/// -/// -// Iterator definitions. -// -// @reference http://www.cplusplus.com/reference/iterator -// @author Jeongho Nam -var std; -(function (std) { - /** - *

Bi-directional iterator.

- * - *

{@link Iterator Bidirectional iterators} are iterators that can be used to access the sequence of elements - * in a range in both directions (towards the end and towards the beginning).

- * - *

All {@link IArrayIterator random-access iterators} are also valid {@link Iterrator bidirectional iterators}. - *

- * - *

There is not a single type of {@link Iterator bidirectional iterator}: {@link IContainer Each container} - * may define its own specific iterator type able to iterate through it and access its elements.

- * - *

- * - *

- * - * @reference http://www.cplusplus.com/reference/iterator/BidirectionalIterator - * @author Jeongho Nam - */ - var Iterator = (function () { - /* --------------------------------------------------------- - CONSTRUCTORS - --------------------------------------------------------- */ - /** - * Construct from the source {@link IContainer container}. - * - * @param source The source - */ - function Iterator(source) { - this.source_ = source; - } - /** - * Advances the {@link Iterator} by n element positions. - * - * @param n Number of element positions to advance. - * @return An advanced iterator. - */ - Iterator.prototype.advance = function (n) { - var it = this; - var i; - if (n >= 0) { - for (i = 0; i < n; i++) - if (it.equal_to(this.source_.end())) - return this.source_.end(); + /** + * @hidden + */ + AtomicTree.prototype.find_by_val = function (val) { + if (this.root_ == null) + return null; + var node = this.root_; + while (true) { + var newNode = null; + if (std.equal_to(val, node.value.value)) + break; // EQUALS, MEANS MATCHED, THEN TERMINATE + else if (this.compare_(val, node.value.value)) + newNode = node.left; // LESS, THEN TO THE LEFT else + newNode = node.right; // GREATER, THEN TO THE RIGHT + // ULTIL CHILD NODE EXISTS + if (newNode == null) + break; + // SHIFT A NEW NODE TO THE NODE TO BE RETURNED + node = newNode; + } + return node; + }; + /* --------------------------------------------------------- + BOUNDS + --------------------------------------------------------- */ + /** + *

Return iterator to lower bound.

+ * + *

Returns an iterator pointing to the first element in the container which is not considered to + * go before val (i.e., either it is equivalent or goes after).

+ * + *

The function uses its internal comparison object (key_comp) to determine this, returning an + * iterator to the first element for which key_comp(element,val) would return false.

+ * + *

If the {@link ITreeSet} class is instantiated with the default comparison type ({@link less}), + * the function returns an iterator to the first element that is not less than val.

+ + *

A similar member function, {@link upper_bound}, has the same behavior as {@link lower_bound}, except + * in the case that the {@link ITreeSet} contains elements equivalent to val: In this case + * {@link lower_bound} returns an iterator pointing to the first of such elements, whereas + * {@link upper_bound} returns an iterator pointing to the element following the last.

+ * + * @param val Value to compare. + * + * @return An iterator to the the first element in the container which is not considered to go before + * val, or {@link ITreeSet.end} if all elements are considered to go before val. + */ + AtomicTree.prototype.lower_bound = function (val) { + var node = this.find(val); + if (node == null) + return this.set_.end(); + else if (std.equal_to(node.value.value, val)) + return node.value; + else { + var it = node.value; + while (!std.equal_to(it, this.set_.end()) && std.less(it.value, val)) it = it.next(); - } - else { - n = n * -1; - for (i = 0; i < n; i++) - if (it.equal_to(this.source_.end())) - return this.source_.end(); - else - it = it.prev(); - } - return it; - }; - /* --------------------------------------------------------- - ACCESSORS - --------------------------------------------------------- */ - /** - * Get source - */ - Iterator.prototype.get_source = function () { - return this.source_; - }; - /** - *

Whether an iterator is equal with the iterator.

- * - *

Compare two iterators and returns whether they are equal or not.

- * - *

Note

- *

Iterator's equal_to() only compare souce container and index number.

- * - *

Although elements in a pair, key and value are equal_to, if the source map or - * index number is different, then the {@link equal_to equal_to()} will return false. If you want to - * compare the elements of a pair, compare them directly by yourself.

- * - * @param obj An iterator to compare - * @return Indicates whether equal or not. - */ - Iterator.prototype.equal_to = function (obj) { - return this.source_ == obj.source_; - }; - Object.defineProperty(Iterator.prototype, "value", { + return it; + } + }; + /** + *

Return iterator to upper bound.

+ * + *

Returns an iterator pointing to the first element in the container which is considered to go after + * val.

+ + *

The function uses its internal comparison object (key_comp) to determine this, returning an + * iterator to the first element for which key_comp(val,element) would return true.

+ + *

If the {@code ITreeSet} class is instantiated with the default comparison type (less), the + * function returns an iterator to the first element that is greater than val.

+ * + *

A similar member function, {@link lower_bound}, has the same behavior as {@link upper_bound}, except + * in the case that the {@ITreeSet} contains elements equivalent to val: In this case + * {@link lower_bound} returns an iterator pointing to the first of such elements, whereas + * {@link upper_bound} returns an iterator pointing to the element following the last.

+ * + * @param val Value to compare. + * + * @return An iterator to the the first element in the container which is considered to go after + * val, or {@link TreeSet.end end} if no elements are considered to go after val. + */ + AtomicTree.prototype.upper_bound = function (val) { + var node = this.find(val); + if (node == null) + return this.set_.end(); + else { + var it = node.value; + while (!std.equal_to(it, this.set_.end()) && (std.equal_to(it.value, val) || std.less(it.value, val))) + it = it.next(); + return it; + } + }; /** - *

Get value of the iterator is pointing.

+ *

Get range of equal elements.

* - * @return A value of the iterator. + *

Returns the bounds of a range that includes all the elements in the container that are equivalent + * to val.

+ * + *

If no matches are found, the range returned has a length of zero, with both iterators pointing to + * the first element that is considered to go after val according to the container's + * internal comparison object (key_comp).

+ * + *

Two elements of a multiset are considered equivalent if the container's comparison object returns + * false reflexively (i.e., no matter the order in which the elements are passed as arguments).

+ * + * @param key Value to search for. + * + * @return The function returns a {@link Pair}, whose member {@link Pair.first} is the lower bound of + * the range (the same as {@link lower_bound}), and {@link Pair.second} is the upper bound + * (the same as {@link upper_bound}). */ - get: function () { - throw new std.LogicError("Have to be overriden."); - }, - enumerable: true, - configurable: true - }); - return Iterator; - }()); - std.Iterator = Iterator; -})(std || (std = {})); -var std; -(function (std) { - /** - *

This class reverses the direction in which a bidirectional or random-access iterator iterates through a range. - *

- * - *

A copy of the original iterator (the {@link Iterator base iterator}) is kept internally and used to reflect - * the operations performed on the {@link ReverseIterator}: whenever the {@link ReverseIterator} is incremented, its - * {@link Iterator base iterator} is decreased, and vice versa. A copy of the {@link Iterator base iterator} with the - * current state can be obtained at any time by calling member {@link base}.

- * - *

Notice however that when an iterator is reversed, the reversed version does not point to the same element in - * the range, but to the one preceding it. This is so, in order to arrange for the past-the-end element of a - * range: An iterator pointing to a past-the-end element in a range, when reversed, is pointing to the last element - * (not past it) of the range (this would be the first element of the reversed range). And if an iterator to the - * first element in a range is reversed, the reversed iterator points to the element before the first element (this - * would be the past-the-end element of the reversed range).

- * - *

- * - *

- * - * @reference http://www.cplusplus.com/reference/iterator/reverse_iterator - * @author Jeongho Nam - */ - var ReverseIterator = (function (_super) { - __extends(ReverseIterator, _super); - /* --------------------------------------------------------- - CONSTRUCTORS - --------------------------------------------------------- */ - function ReverseIterator(base) { - if (base == null) - _super.call(this, null); - else { - _super.call(this, base.get_source()); - this.base_ = base.prev(); - } - } - ReverseIterator.prototype.base = function () { - return this.base_.next(); - }; - Object.defineProperty(ReverseIterator.prototype, "value", { + AtomicTree.prototype.equal_range = function (val) { + return std.make_pair(this.lower_bound(val), this.upper_bound(val)); + }; /* --------------------------------------------------------- - ACCESSORS + COMPARISON --------------------------------------------------------- */ - get: function () { - return this.base_.value; - }, - enumerable: true, - configurable: true - }); - /* --------------------------------------------------------- - MOVERS - --------------------------------------------------------- */ - /** - * @inheritdoc - */ - ReverseIterator.prototype.prev = function () { - var ret = this.create_neighbor(); - ret.source_ = this.source_; - ret.base_ = this.base_.next(); - return ret; - }; - /** - * @inheritdoc - */ - ReverseIterator.prototype.next = function () { - var ret = this.create_neighbor(); - ret.source_ = this.source_; - ret.base_ = this.base_.next(); - return ret; - }; - /** - * @inheritdoc - */ - ReverseIterator.prototype.advance = function (n) { - var ret = this.create_neighbor(); - ret.source_ = this.source_; - ret.base_ = this.base_.advance(-n); - return ret; - }; - /* --------------------------------------------------------- - COMPARES - --------------------------------------------------------- */ - /** - * @inheritdoc - */ - ReverseIterator.prototype.equal_to = function (obj) { - return this.base_.equal_to(obj.base_); - }; - /** - * @inheritdoc - */ - ReverseIterator.prototype.swap = function (obj) { - this.base_.swap(obj.base_); - }; - return ReverseIterator; - }(std.Iterator)); - std.ReverseIterator = ReverseIterator; - /* ========================================================= - GLOBAL FUNCTIONS - - MOVERS - - BEGIN - - END - ============================================================ - MOVERS - --------------------------------------------------------- */ - /** - *

Return distance between {@link Iterator iterators}.

- * - *

Calculates the number of elements between first and last.

- * - *

If it is a {@link IArrayIterator random-access iterator}, the function uses operator- to calculate this. - * Otherwise, the function uses the increase operator {@link Iterator.next next()} repeatedly.

- * - * @param first Iterator pointing to the initial element. - * @param last Iterator pointing to the final element. This must be reachable from first. - * - * @return The number of elements between first and last. - */ - function distance(first, last) { - if (first.index != undefined) { - // WHEN IARRAY_ITERATOR - // ABS FOR REVERSE_ITERATOR - return Math.abs(last.index - first.index); - } - var length = 0; - for (; !first.equal_to(last); first = first.next()) - length++; - return length; - } - std.distance = distance; - /** - *

Advance iterator.

- * - *

Advances the iterator it by n elements positions.

- * - * @param it Iterator to be advanced. - * @param n Number of element positions to advance. - * - * @return An iterator to the element n positions before it. - */ - function advance(it, n) { - return it.advance(n); - } - std.advance = advance; - /** - *

Get iterator to previous element.

- * - *

Returns an iterator pointing to the element that it would be pointing to if advanced -n positions.

- * - * @param it Iterator to base position. - * @param n Number of element positions offset (1 by default). - * - * @return An iterator to the element n positions before it. - */ - function prev(it, n) { - if (n === void 0) { n = 1; } - return it.advance(n); - } - std.prev = prev; - /** - *

Get iterator to next element.

- * - *

Returns an iterator pointing to the element that it would be pointing to if advanced n positions.

- * - * @param it Iterator to base position. - * @param n Number of element positions offset (1 by default). - * - * @return An iterator to the element n positions away from it. - */ - function next(it, n) { - if (n === void 0) { n = 1; } - return it.advance(n); - } - std.next = next; - // typedef is not specified in TypeScript yet. - // Instead, I listed all the containers and its iterators as overloaded functions - function begin(container) { - return container.begin(); - } - std.begin = begin; - // typedef is not specified in TypeScript yet. - // Instead, I listed all the containers and its iterators as overloaded functions - function end(container) { - return container.end(); - } - std.end = end; + /** + *

Return comparison function.

+ * + *

Returns a copy of the comparison function used by the container.

+ * + *

By default, this is a {@link less} object, which returns the same as operator<.

+ * + *

This object determines the order of the elements in the container: it is a function pointer or a function + * object that takes two arguments of the same type as the container elements, and returns true if + * the first argument is considered to go before the second in the strict weak ordering it + * defines, and false otherwise.

+ * + *

Two elements of a {@link ITreeSet} are considered equivalent if {@link key_comp} returns false + * reflexively (i.e., no matter the order in which the elements are passed as arguments).

+ * + *

In {@link ITreeSet} containers, the keys to sort the elements are the values (T) themselves, + * therefore {@link key_comp} and its sibling member function {@link value_comp} are equivalent.

+ * + * @return The comparison function. + */ + AtomicTree.prototype.key_comp = function () { + return this.compare_; + }; + /** + *

Return comparison function.

+ * + *

Returns a copy of the comparison function used by the container.

+ * + *

By default, this is a {@link less} object, which returns the same as operator<.

+ * + *

This object determines the order of the elements in the container: it is a function pointer or a function + * object that takes two arguments of the same type as the container elements, and returns true if + * the first argument is considered to go before the second in the strict weak ordering it + * defines, and false otherwise.

+ * + *

Two elements of a {@link ITreeSet} are considered equivalent if {@link key_comp} returns false + * reflexively (i.e., no matter the order in which the elements are passed as arguments).

+ * + *

In {@link ITreeSet} containers, the keys to sort the elements are the values (T) themselves, + * therefore {@link key_comp} and its sibling member function {@link value_comp} are equivalent.

+ * + * @return The comparison function. + */ + AtomicTree.prototype.value_comp = function () { + return this.compare_; + }; + /** + * @inheritdoc + */ + AtomicTree.prototype.is_equal_to = function (left, right) { + return std.equal_to(left, right); + }; + /** + * @inheritdoc + */ + AtomicTree.prototype.is_less = function (left, right) { + return this.compare_(left.value, right.value); + }; + return AtomicTree; + }(base.XTree)); + base.AtomicTree = AtomicTree; + })(base = std.base || (std.base = {})); })(std || (std = {})); /// -/// -/// var std; (function (std) { var base; (function (base) { /** - *

An abstract map.

- * - *

{@link MapContainer MapContainers} are associative containers that store elements formed by a combination - * of a key value (Key) and a mapped value (T), and which allows for fast retrieval - * of individual elements based on their keys.

+ *

Static class holding enumeration codes of color of Red-black tree.

* - *

In a {@link MapContainer}, the key values are generally used to identify the elements, while the - * mapped values store the content associated to this key. The types of key and - * mapped value may differ, and are grouped together in member type value_type, which is a - * {@link Pair} type combining both:

+ *

Color codes imposed to nodes of RB-Tree are following those rules:

* - *

typedef pair value_type;

+ *
    + *
  1. A node is either red or black.
    2. + *
  2. The root is black. This rule is sometimes omitted. Since the root can + * always be changed from red to black, but not + * necessarily vice versa, this rule has little effect on analysis.
    3. + *
  3. All leaves (NIL; null) are black.
    4. + *
  4. If a node is red, then both its children are + * black.
    5. + *
  5. Every path from a given node to any of its descendant NIL nodes contains the same number of + * black nodes. Some definitions: the number of + * black nodes from the root to a node is the node's + * black depth; the uniform number of black + * nodes in all paths from root to the leaves is called the black-height of + * the red-black tree.
    6. + *
* - *

{@link MapContainer} stores elements, keeps sequence and enables indexing by inserting elements into a - * {@link List} and registering {@link ListIterator iterators} of the {@link data_ list container} to an index - * table like {@link RBTree tree} or {@link HashBuckets hash-table}.

+ * @author Migrated by Jeongho Nam + */ + (function (Color) { + /** + *

Code of color black.

+ * + *
    + *
  • Those are clearly black: root, leaf nodes or children nodes of red.
    • + *
  • Every path from a given nodes containes the same number of black nodes exclude NIL(s).
    • + *
+ */ + Color[Color["BLACK"] = 0] = "BLACK"; + /** + *

Code of color red.

+ */ + Color[Color["RED"] = 1] = "RED"; + })(base.Color || (base.Color = {})); + var Color = base.Color; + })(base = std.base || (std.base = {})); +})(std || (std = {})); +/// +var std; +(function (std) { + var base; + (function (base) { + /** + *

An abstract container.

* - *

- *

+ *

+ * + *

* *

Container properties

*
- *
Associative
- *
- * Elements in associative containers are referenced by their key and not by their absolute position - * in the container. - *
+ *
Sequence
+ *
Elements in sequence containers are ordered in a strict linear sequence. Individual elements are + * accessed by their position in this sequence.
* - *
Map
- *
- * Each element associates a key to a mapped value: - * Keys are meant to identify the elements whose main content is the mapped value. - *
+ *
Doubly-linked list
+ *
Each element keeps information on how to locate the next and the previous elements, allowing + * constant time insert and erase operations before or after a specific element (even of entire ranges), + * but no direct random access.
*
* - * @param Type of the keys. Each element in a map is identified by its key value. - * @param Type of the mapped value. Each element in a map stores some data as its mapped value. + * @param Type of elements. * * @author Jeongho Nam */ - var MapContainer = (function (_super) { - __extends(MapContainer, _super); - function MapContainer() { + var Container = (function () { + function Container() { var args = []; for (var _i = 0; _i < arguments.length; _i++) { args[_i - 0] = arguments[_i]; } - _super.call(this); - // INITIALIZATION - this.init(); - // BRANCH - OVERLOADINGS - if (args.length == 0) { } // DO NOTHING - else if (args.length == 1 && (args[0] instanceof base.Container || args[0] instanceof std.Vector)) { - this.construct_from_container(args[0]); - } - else if (args.length == 1 && args[0] instanceof Array) { - this.construct_from_array(args[0]); - } - else if (args.length == 2 && args[0] instanceof std.Iterator && args[1] instanceof std.Iterator) { - this.construct_from_range(args[0], args[1]); - } + // THIS IS ABSTRACT CLASS + // NOTHING TO DO ESPECIALLY } /** - * @hidden - */ - MapContainer.prototype.init = function () { - this.data_ = new std.List(); - }; - /** - * @hidden + * @inheritdoc */ - MapContainer.prototype.construct_from_array = function (items) { - for (var i = 0; i < items.length; i++) - if (items[i] instanceof std.Pair) - this.insert_by_pair(items[i]); - else - this.insert_by_tuple(items[i]); + Container.prototype.clear = function () { + this.erase(this.begin(), this.end()); }; /** - * @hidden + * @inheritdoc */ - MapContainer.prototype.construct_from_container = function (container) { - this.construct_from_range(container.begin(), container.end()); + Container.prototype.empty = function () { + return this.size() == 0; }; + /* --------------------------------------------------------------- + UTILITIES + --------------------------------------------------------------- */ /** - * @hidden + * @inheritdoc */ - MapContainer.prototype.construct_from_range = function (begin, end) { - this.assign(begin, end); + Container.prototype.swap = function (obj) { + var supplement = new std.Vector(this.begin(), this.end()); + this.assign(obj.begin(), obj.end()); + obj.assign(supplement.begin(), supplement.end()); }; - /* --------------------------------------------------------- - ASSIGN & CLEAR - --------------------------------------------------------- */ + return Container; + }()); + base.Container = Container; + })(base = std.base || (std.base = {})); +})(std || (std = {})); +/// +var std; +(function (std) { + var base; + (function (base) { + /** + *

An abstract error instance.

+ * + *

{@link ErrorInstance} is an abstract class of {@link ErrorCode} and {@link ErrorCondition} + * holding an error instance's identifier {@link value}, associated with a {@link category}.

+ * + *

The operating system and other low-level applications and libraries generate numerical error codes to + * represent possible results. These numerical values may carry essential information for a specific platform, + * but be non-portable from one platform to another.

+ * + *

Objects of this class associate such numerical codes to {@link ErrorCategory error categories}, + * so that they can be interpreted when needed as more abstract (and portable) + * {@link ErrorCondition error conditions}.

+ * + *

+ *

+ * + * @author Jeongho Nam + */ + var ErrorInstance = (function () { + function ErrorInstance(val, category) { + if (val === void 0) { val = 0; } + if (category === void 0) { category = null; } + this.assign(val, category); + } /** - * @inheritdoc + *

Assign error instance.

+ * + *

Assigns the {@link ErrorCode} object a value of val associated with the {@link ErrorCategory}.

+ * + * @param val A numerical value identifying an error instance. + * @param category A reference to an {@link ErrorCategory} object. */ - MapContainer.prototype.assign = function (first, last) { - // INSERT - this.clear(); - this.insert(first, last); + ErrorInstance.prototype.assign = function (val, category) { + this.category_ = category; + this.value_ = val; }; /** - * @inheritdoc + *

Clear error instance.

+ * + *

Clears the value in the {@link ErrorCode} object so that it is set to a value of 0 of the + * {@link ErrorCategory.systemCategory ErrorCategory.systemCategory()} (indicating no error).

*/ - MapContainer.prototype.clear = function () { - // TO BE ABSTRACT - this.data_.clear(); + ErrorInstance.prototype.clear = function () { + this.value_ = 0; }; + /* --------------------------------------------------------- + ACCESSORS + --------------------------------------------------------- */ /** - *

Return iterator to beginning.

+ *

Get category.

* - *

Returns an iterator referring the first element in the

+ *

Returns a reference to the {@link ErrorCategory} associated with the {@link ErrorCode} object.

+ * + * @return A reference to a non-copyable object of a type derived from {@link ErrorCategory}. + */ + ErrorInstance.prototype.category = function () { + return this.category_; + }; + /** + *

Error value.

* - *

Note

- *

If the container is {@link empty}, the returned iterator is same with {@link end end()}.

+ *

Returns the error value associated with the {@link ErrorCode} object.

* - * @return An iterator to the first element in the The iterator containes the first element's value. + * @return The error value. */ - MapContainer.prototype.begin = function () { - return new std.MapIterator(this, this.data_.begin()); + ErrorInstance.prototype.value = function () { + return this.value_; }; /** - *

Return iterator to end.

- *

Returns an iterator referring to the past-the-end element in the

+ *

Get message.

* - *

The past-the-end element is the theoretical element that would follow the last element in the - * It does not point to any element, and thus shall not be dereferenced.

+ *

Returns the message associated with the error instance.

* - *

Because the ranges used by functions of the container do not include the element reference by their - * closing iterator, this function is often used in combination with {@link MapContainer}.{@link begin} to - * specify a range including all the elements in the

+ *

Error messages are defined by the {@link category} the error instance belongs to.

* - *

Note

- *

Returned iterator from {@link MapContainer}.{@link end} does not refer any element. Trying to accessing - * element by the iterator will cause throwing exception ({@link OutOfRange}).

+ *

This function returns the same as if the following member was called:

* - *

If the container is {@link empty}, this function returns the same as {@link begin}.

+ *

category().message(value())

* - * @return An iterator to the end element in the + * @return A string object with the message associated with the {@link ErrorCode}. */ - MapContainer.prototype.end = function () { - return new std.MapIterator(this, this.data_.end()); + ErrorInstance.prototype.message = function () { + if (this.category_ == null || this.value_ == 0) + return ""; + else + return this.category_.message(this.value_); }; /** - *

Return {@link MapReverseIterator reverse iterator} to reverse beginning.

+ *

Default error condition.

* - *

Returns a {@link MapReverseIterator reverse iterator} pointing to the last element in the container - * (i.e., its reverse beginning).

+ *

Returns the default {@link ErrorCondition}object associated with the {@link ErrorCode} object.

* - * {@link MapReverseIterator Reverse iterators} iterate backwards: increasing them moves them towards the - * beginning of the container.

+ *

This function returns the same as if the following member was called:

* - *

{@link rbegin} points to the element preceding the one that would be pointed to by member {@link end}. - *

+ *

category().default_error_condition(value())

* - * @return A {@link MapReverseIterator reverse iterator} to the reverse beginning of the sequence + *

{@link ErrorCategory.default_error_condition ErrorCategory.default_error_condition()} + * is a virtual member function, that can operate differently for each category.

* + * @return An {@link ErrorCondition}object that corresponds to the {@link ErrorCode} object. */ - MapContainer.prototype.rbegin = function () { - return new std.MapReverseIterator(this.end()); + ErrorInstance.prototype.default_error_condition = function () { + if (this.category_ == null || this.value_ == 0) + return null; + else + return this.category_.default_error_condition(this.value_); }; + /* --------------------------------------------------------- + OPERATORS + --------------------------------------------------------- */ /** - *

Return {@link MapReverseIterator reverse iterator} to reverse end.

+ *

Convert to bool.

* - *

Returns a {@link MapReverseIterator reverse iterator} pointing to the theoretical element right before - * the first element in the {@link MapContainer map container} (which is considered its reverse end). - *

+ *

Returns whether the error instance has a numerical {@link value} other than 0.

* - *

The range between {@link MapContainer}.{@link rbegin} and {@link MapContainer}.{@link rend} contains - * all the elements of the container (in reverse order).

+ *

If it is zero (which is generally used to represent no error), the function returns false, otherwise it returns true.

* - * @return A {@link MapReverseIterator reverse iterator} to the reverse end of the sequence + * @return true if the error's numerical value is not zero. + * false otherwise. */ - MapContainer.prototype.rend = function () { - return new std.MapReverseIterator(this.begin()); + ErrorInstance.prototype.to_bool = function () { + return this.value_ != 0; }; + return ErrorInstance; + }()); + base.ErrorInstance = ErrorInstance; + })(base = std.base || (std.base = {})); +})(std || (std = {})); +/// +var std; +(function (std) { + var base; + (function (base) { + (function (Hash) { + Hash[Hash["MIN_SIZE"] = 10] = "MIN_SIZE"; + Hash[Hash["RATIO"] = 1] = "RATIO"; + Hash[Hash["MAX_RATIO"] = 2] = "MAX_RATIO"; + })(base.Hash || (base.Hash = {})); + var Hash = base.Hash; + /** + *

Hask buckets.

+ * + * @author Jeongho Nam + */ + var HashBuckets = (function () { /* --------------------------------------------------------- - ELEMENTS + CONSTRUCTORS --------------------------------------------------------- */ /** - *

Whether have the item or not.

+ * Default Constructor. + */ + function HashBuckets() { + this.clear(); + } + /** + *

Reconstruction of hash table.

* - *

Indicates whether a map has an item having the specified identifier.

+ *

All the elements in the hash buckets are rearranged according to their hash value into the new set of + * buckets. This may alter the order of iteration of elements within the container.

* - * @param key Key value of the element whose mapped value is accessed. + *

Notice that {@link rehash rehashes} are automatically performed whenever its number of elements is going + * to greater than its own {@link capacity}.

* - * @return Whether the map has an item having the specified identifier. - */ - MapContainer.prototype.has = function (key) { - return !this.find(key).equal_to(this.end()); - }; - /** - * Return the number of elements in the map. + * @param size Number of bucket size to rehash. */ - MapContainer.prototype.size = function () { - return this.data_.size(); - }; - MapContainer.prototype.push = function () { - var args = []; - for (var _i = 0; _i < arguments.length; _i++) { - args[_i - 0] = arguments[_i]; - } - // TO BE ABSTRACT - for (var i = 0; i < args.length; i++) - if (args[i] instanceof std.Pair) - this.insert_by_pair(args[i]); - else if (args[i] instanceof Array) - this.insert_by_tuple(args[i]); - return this.size(); - }; - MapContainer.prototype.insert = function () { - var args = []; - for (var _i = 0; _i < arguments.length; _i++) { - args[_i - 0] = arguments[_i]; - } - if (args.length == 1 && args[0] instanceof std.Pair) { - return this.insert_by_pair(args[0]); - } - else if (args.length == 1 && args[0] instanceof Array) { - return this.insert_by_tuple(args[0]); - } - else if (args.length == 2 && args[0] instanceof std.Iterator && args[1] instanceof std.Iterator) { - return this.insert_by_range(args[0], args[1]); - } - else { - var ret = void 0; - var is_reverse_iterator = false; - // REVERSE_ITERATOR TO ITERATOR - if (args[0] instanceof std.MapReverseIterator) { - is_reverse_iterator = true; - args[0] = args[0].base().prev(); + HashBuckets.prototype.rehash = function (size) { + if (size < Hash.MIN_SIZE) + size = Hash.MIN_SIZE; + var prev_matrix = this.buckets_; + this.buckets_ = new std.Vector(); + for (var i = 0; i < size; i++) + this.buckets_.push_back(new std.Vector()); + for (var i = 0; i < prev_matrix.size(); i++) + for (var j = 0; j < prev_matrix.at(i).size(); j++) { + var val = prev_matrix.at(i).at(j); + var bucket = this.buckets_.at(this.hash_index(val)); + bucket.push_back(val); + this.item_size_++; } - // INSERT AN ELEMENT - if (args[1] instanceof std.Pair) - ret = this.insert_by_hint(args[0], args[1]); - else - ret = this.insert_by_hint_with_tuple(args[0], args[1]); - // RETURN BRANCHES - if (is_reverse_iterator == true) - return new std.MapReverseIterator(ret.next()); - else - return ret; - } }; - /** - * @hidden - */ - MapContainer.prototype.insert_by_tuple = function (tuple) { - return this.insert_by_pair(new std.Pair(tuple[0], tuple[1])); + HashBuckets.prototype.clear = function () { + this.buckets_ = new std.Vector(); + this.item_size_ = 0; + for (var i = 0; i < Hash.MIN_SIZE; i++) + this.buckets_.push_back(new std.Vector()); }; - /** - * @hidden - */ - MapContainer.prototype.insert_by_hint_with_tuple = function (hint, tuple) { - return this.insert_by_hint(hint, std.make_pair(tuple[0], tuple[1])); + /* --------------------------------------------------------- + ACCESSORS + --------------------------------------------------------- */ + HashBuckets.prototype.size = function () { + return this.buckets_.size(); }; - MapContainer.prototype.erase = function () { - var args = []; - for (var _i = 0; _i < arguments.length; _i++) { - args[_i - 0] = arguments[_i]; - } - if (args.length == 1 && (args[0] instanceof std.Iterator == false || args[0].get_source() != this)) - return this.erase_by_key(args[0]); - else if (args.length == 1) - return this.erase_by_iterator(args[0]); - else - return this.erase_by_iterator(args[0], args[1]); + HashBuckets.prototype.item_size = function () { + return this.item_size_; }; - /** - * @hidden - */ - MapContainer.prototype.erase_by_key = function (key) { - var it = this.find(key); - if (it.equal_to(this.end()) == true) - return 0; - this.erase_by_iterator(it); - return 1; + HashBuckets.prototype.capacity = function () { + return this.buckets_.size() * Hash.MAX_RATIO; }; - /** - * @hidden - */ - MapContainer.prototype.erase_by_iterator = function (first, last) { - if (last === void 0) { last = first.next(); } - var ret; - var is_reverse_iterator = false; - // REVERSE ITERATOR TO ITERATOR - if (first instanceof std.MapReverseIterator) { - is_reverse_iterator = true; - var first_it = last.base(); - var last_it = first.base(); - first = first_it; - last = last_it; - } - // ERASE ELEMENTS - ret = this.erase_by_range(first, last); - // RETURN BRANCHES - if (is_reverse_iterator == true) - return new std.MapReverseIterator(ret.next()); - else - return ret; + HashBuckets.prototype.at = function (index) { + return this.buckets_.at(index); + }; + HashBuckets.prototype.hash_index = function (val) { + return std.hash(val) % this.buckets_.size(); }; - /** - * @hidden - */ - MapContainer.prototype.erase_by_range = function (begin, end) { - // ERASE - var listIterator = this.data_.erase(begin.get_list_iterator(), end.get_list_iterator()); - // POST-PROCESS - this.handle_erase(begin, end); - return new std.MapIterator(this, listIterator); + /* --------------------------------------------------------- + ELEMENTS I/O + --------------------------------------------------------- */ + HashBuckets.prototype.insert = function (val) { + this.buckets_.at(this.hash_index(val)).push_back(val); + if (++this.item_size_ > this.capacity()) + this.rehash(this.item_size_ * Hash.RATIO); }; - return MapContainer; - }(base.Container)); - base.MapContainer = MapContainer; + HashBuckets.prototype.erase = function (val) { + var bucket = this.buckets_.at(this.hash_index(val)); + for (var i = 0; i < bucket.size(); i++) + if (bucket.at(i) == val) { + bucket.splice(i, 1); + this.item_size_--; + break; + } + }; + return HashBuckets; + }()); + base.HashBuckets = HashBuckets; })(base = std.base || (std.base = {})); })(std || (std = {})); +/// +/// +/// +/// +/// +/// +// Iterator definitions. +// +// @reference http://www.cplusplus.com/reference/iterator +// @author Jeongho Nam var std; (function (std) { /** - *

An iterator of {@link MapContainer map container}.

+ *

Bi-directional iterator.

* - *

- *

+ *

{@link Iterator Bidirectional iterators} are iterators that can be used to access the sequence of elements + * in a range in both directions (towards the end and towards the beginning).

+ * + *

All {@link IArrayIterator random-access iterators} are also valid {@link Iterrator bidirectional iterators}. + *

+ * + *

There is not a single type of {@link Iterator bidirectional iterator}: {@link IContainer Each container} + * may define its own specific iterator type able to iterate through it and access its elements.

+ * + *

+ * + *

* + * @reference http://www.cplusplus.com/reference/iterator/BidirectionalIterator * @author Jeongho Nam */ - var MapIterator = (function (_super) { - __extends(MapIterator, _super); + var Iterator = (function () { /* --------------------------------------------------------- CONSTRUCTORS --------------------------------------------------------- */ /** - * Construct from the {@link MapContainer source map} and {@link ListIterator list iterator}. + * Construct from the source {@link IContainer container}. * - * @param source The source {@link MapContainer}. - * @param list_iterator A {@link ListIterator} pointing {@link Pair} of key and value. + * @param source The source */ - function MapIterator(source, list_iterator) { - _super.call(this, source); - this.list_iterator_ = list_iterator; + function Iterator(source) { + this.source_ = source; } - /* --------------------------------------------------------- - MOVERS - --------------------------------------------------------- */ /** - * Get iterator to previous element. + * Advances the {@link Iterator} by n element positions. + * + * @param n Number of element positions to advance. + * @return An advanced iterator. */ - MapIterator.prototype.prev = function () { - return new MapIterator(this.map, this.list_iterator_.prev()); + Iterator.prototype.advance = function (n) { + var it = this; + var i; + if (n >= 0) { + for (i = 0; i < n; i++) + if (it.equal_to(this.source_.end())) + return this.source_.end(); + else + it = it.next(); + } + else { + n = n * -1; + for (i = 0; i < n; i++) + if (it.equal_to(this.source_.end())) + return this.source_.end(); + else + it = it.prev(); + } + return it; }; + /* --------------------------------------------------------- + ACCESSORS + --------------------------------------------------------- */ /** - * Get iterator to next element. + * Get source */ - MapIterator.prototype.next = function () { - return new MapIterator(this.map, this.list_iterator_.next()); + Iterator.prototype.get_source = function () { + return this.source_; }; /** - * Advances the Iterator by n element positions. + *

Whether an iterator is equal with the iterator.

* - * @param step Number of element positions to advance. - * @return An advanced Iterator. - */ - MapIterator.prototype.advance = function (step) { - return new MapIterator(this.map, this.list_iterator_.advance(step)); - }; - Object.defineProperty(MapIterator.prototype, "map", { - /* --------------------------------------------------------- - ACCESSORS - --------------------------------------------------------- */ - /** - * @hidden - */ - get: function () { - return this.source_; - }, - enumerable: true, - configurable: true - }); - /** - * Get ListIterator. + *

Compare two iterators and returns whether they are equal or not.

+ * + *

Note

+ *

Iterator's equal_to() only compare souce container and index number.

+ * + *

Although elements in a pair, key and value are equal_to, if the source map or + * index number is different, then the {@link equal_to equal_to()} will return false. If you want to + * compare the elements of a pair, compare them directly by yourself.

+ * + * @param obj An iterator to compare + * @return Indicates whether equal or not. */ - MapIterator.prototype.get_list_iterator = function () { - return this.list_iterator_; + Iterator.prototype.equal_to = function (obj) { + return this.source_ == obj.source_; }; - Object.defineProperty(MapIterator.prototype, "value", { - /** - * @inheritdoc - */ - get: function () { - return this.list_iterator_.value; - }, - enumerable: true, - configurable: true - }); - Object.defineProperty(MapIterator.prototype, "first", { - /** - * Get first, key element. - */ - get: function () { - return this.list_iterator_.value.first; - }, - enumerable: true, - configurable: true - }); - Object.defineProperty(MapIterator.prototype, "second", { + Object.defineProperty(Iterator.prototype, "value", { /** - * Get second, value element. + *

Get value of the iterator is pointing.

+ * + * @return A value of the iterator. */ get: function () { - return this.list_iterator_.value.second; - }, - /** - * Set second value. - */ - set: function (val) { - this.list_iterator_.value.second = val; + throw new std.LogicError("Have to be overriden."); }, enumerable: true, configurable: true }); - /* --------------------------------------------------------- - COMPARISONS - --------------------------------------------------------- */ - /** - *

Whether an iterator is equal with the iterator.

- * - *

Compare two iterators and returns whether they are equal or not.

- * - * @param obj An iterator to compare - * @return Indicates whether equal or not. - */ - MapIterator.prototype.equal_to = function (obj) { - return this.source_ == obj.source_ && this.list_iterator_.equal_to(obj.list_iterator_); - }; - MapIterator.prototype.less = function (obj) { - return std.less(this.first, obj.first); - }; - MapIterator.prototype.hash = function () { - return std.hash(this.first); - }; - MapIterator.prototype.swap = function (obj) { - this.list_iterator_.swap(obj.list_iterator_); - }; - return MapIterator; - }(std.Iterator)); - std.MapIterator = MapIterator; + return Iterator; + }()); + std.Iterator = Iterator; +})(std || (std = {})); +var std; +(function (std) { /** - *

A reverse-iterator of {@link MapContainer map container}.

+ *

This class reverses the direction in which a bidirectional or random-access iterator iterates through a range. + *

* - *

- *

+ *

A copy of the original iterator (the {@link Iterator base iterator}) is kept internally and used to reflect + * the operations performed on the {@link ReverseIterator}: whenever the {@link ReverseIterator} is incremented, its + * {@link Iterator base iterator} is decreased, and vice versa. A copy of the {@link Iterator base iterator} with the + * current state can be obtained at any time by calling member {@link base}.

+ * + *

Notice however that when an iterator is reversed, the reversed version does not point to the same element in + * the range, but to the one preceding it. This is so, in order to arrange for the past-the-end element of a + * range: An iterator pointing to a past-the-end element in a range, when reversed, is pointing to the last element + * (not past it) of the range (this would be the first element of the reversed range). And if an iterator to the + * first element in a range is reversed, the reversed iterator points to the element before the first element (this + * would be the past-the-end element of the reversed range).

+ * + *

+ * + *

* + * @reference http://www.cplusplus.com/reference/iterator/reverse_iterator * @author Jeongho Nam */ - var MapReverseIterator = (function (_super) { - __extends(MapReverseIterator, _super); + var ReverseIterator = (function (_super) { + __extends(ReverseIterator, _super); /* --------------------------------------------------------- CONSTRUCTORS --------------------------------------------------------- */ - function MapReverseIterator(base) { - _super.call(this, base); + /** + * Construct from base iterator. + * + * @param base A reference of the base iterator, which iterates in the opposite direction. + */ + function ReverseIterator(base) { + if (base == null) + _super.call(this, null); + else { + _super.call(this, base.get_source()); + this.base_ = base.prev(); + } } - MapReverseIterator.prototype.create_neighbor = function () { - return new MapReverseIterator(null); + /** + *

Return base iterator.

+ * + *

Return a reference of the base iteraotr.

+ * + *

The base iterator is an iterator of the same type as the one used to construct the {@link ReverseIterator}, + * but pointing to the element next to the one the {@link ReverseIterator} is currently pointing to + * (a {@link ReverseIterator} has always an offset of -1 with respect to its base iterator). + * + * @return A reference of the base iterator, which iterates in the opposite direction. + */ + ReverseIterator.prototype.base = function () { + return this.base_.next(); }; - Object.defineProperty(MapReverseIterator.prototype, "first", { + Object.defineProperty(ReverseIterator.prototype, "value", { /* --------------------------------------------------------- ACCESSORS --------------------------------------------------------- */ /** - * Get first, key element. - */ - get: function () { - return this.base_.first; - }, - enumerable: true, - configurable: true - }); - Object.defineProperty(MapReverseIterator.prototype, "second", { - /** - * Get second, value element. + *

Get value of the iterator is pointing.

+ * + * @return A value of the reverse iterator. */ get: function () { - return this.base_.second; - }, - /** - * Set second value. - */ - set: function (val) { - this.base_.second = val; + return this.base_.value; }, enumerable: true, configurable: true }); - return MapReverseIterator; - }(std.ReverseIterator)); - std.MapReverseIterator = MapReverseIterator; -})(std || (std = {})); -/// -/// -var std; -(function (std) { - var base; - (function (base) { + /* --------------------------------------------------------- + MOVERS + --------------------------------------------------------- */ /** - *

An abstract multi-map.

- * - *

{@link MultiMap MultiMaps} are associative containers that store elements formed by a combination of a - * key value (Key) and a mapped value (T), and which allows for fast retrieval of - * individual elements based on their keys.

- * - *

In a {@link MapContainer}, the key values are generally used to identify the elements, while the - * mapped values store the content associated to this key. The types of key and - * mapped value may differ, and are grouped together in member type value_type, which is a - * {@link Pair} type combining both:

- * - *

typedef pair value_type;

- * - *

{@link UniqueMap} stores elements, keeps sequence and enables indexing by inserting elements into a - * {@link List} and registering {@link ListIterator iterators} of the {@link data_ list container} to an index - * table like {@link RBTree tree} or {@link HashBuckets hash-table}.

- * - *

- *

- * - *

Container properties

- *
- *
Associative
- *
- * Elements in associative containers are referenced by their key and not by their absolute position - * in the container. - *
- * - *
Map
- *
- * Each element associates a key to a mapped value: - * Keys are meant to identify the elements whose main content is the mapped value. - *
- * - *
Multiple equivalent keys
- *
Multiple elements in the container can have equivalent keys.
- *
- * - * @param Type of the keys. Each element in a map is identified by its key value. - * @param Type of the mapped value. Each element in a map stores some data as its mapped value. - * - * @author Jeongho Nam + * @inheritdoc */ - var MultiMap = (function (_super) { - __extends(MultiMap, _super); - function MultiMap() { - _super.apply(this, arguments); - } - MultiMap.prototype.insert = function () { - var args = []; - for (var _i = 0; _i < arguments.length; _i++) { - args[_i - 0] = arguments[_i]; - } - return _super.prototype.insert.apply(this, args); - }; - /** - *

Swap content.

- * - *

Exchanges the content of the container by the content of obj, which is another - * {@link UniqueMap map} of the same type. Sizes abd container type may differ.

- * - *

After the call to this member function, the elements in this container are those which were - * in obj before the call, and the elements of obj are those which were in this. All - * iterators, references and pointers remain valid for the swapped objects.

- * - *

Notice that a non-member function exists with the same name, {@link std.swap swap}, overloading that - * algorithm with an optimization that behaves like this member function.

- * - * @param obj Another {@link MultiMap map container} of the same type of elements as this (i.e., - * with the same template parameters, Key and T) whose content is swapped - * with that of this {@link MultiMap container}. - */ - MultiMap.prototype.swap = function (obj) { - var vec = new std.Vector(this.begin(), this.end()); - this.assign(obj.begin(), obj.end()); - obj.assign(vec.begin(), vec.end()); - }; - return MultiMap; - }(base.MapContainer)); - base.MultiMap = MultiMap; - })(base = std.base || (std.base = {})); + ReverseIterator.prototype.prev = function () { + var ret = this.create_neighbor(); + ret.source_ = this.source_; + ret.base_ = this.base_.next(); + return ret; + }; + /** + * @inheritdoc + */ + ReverseIterator.prototype.next = function () { + var ret = this.create_neighbor(); + ret.source_ = this.source_; + ret.base_ = this.base_.next(); + return ret; + }; + /** + * @inheritdoc + */ + ReverseIterator.prototype.advance = function (n) { + var ret = this.create_neighbor(); + ret.source_ = this.source_; + ret.base_ = this.base_.advance(-n); + return ret; + }; + /* --------------------------------------------------------- + COMPARES + --------------------------------------------------------- */ + /** + * @inheritdoc + */ + ReverseIterator.prototype.equal_to = function (obj) { + return this.base_.equal_to(obj.base_); + }; + /** + * @inheritdoc + */ + ReverseIterator.prototype.swap = function (obj) { + this.base_.swap(obj.base_); + }; + return ReverseIterator; + }(std.Iterator)); + std.ReverseIterator = ReverseIterator; + /* ========================================================= + GLOBAL FUNCTIONS + - MOVERS + - BEGIN + - END + ============================================================ + MOVERS + --------------------------------------------------------- */ + /** + *

Return distance between {@link Iterator iterators}.

+ * + *

Calculates the number of elements between first and last.

+ * + *

If it is a {@link IArrayIterator random-access iterator}, the function uses operator- to calculate this. + * Otherwise, the function uses the increase operator {@link Iterator.next next()} repeatedly.

+ * + * @param first Iterator pointing to the initial element. + * @param last Iterator pointing to the final element. This must be reachable from first. + * + * @return The number of elements between first and last. + */ + function distance(first, last) { + if (first.index != undefined) { + // WHEN IARRAY_ITERATOR + // ABS FOR REVERSE_ITERATOR + return Math.abs(last.index - first.index); + } + var length = 0; + for (; !first.equal_to(last); first = first.next()) + length++; + return length; + } + std.distance = distance; + /** + *

Advance iterator.

+ * + *

Advances the iterator it by n elements positions.

+ * + * @param it Iterator to be advanced. + * @param n Number of element positions to advance. + * + * @return An iterator to the element n positions before it. + */ + function advance(it, n) { + return it.advance(n); + } + std.advance = advance; + /** + *

Get iterator to previous element.

+ * + *

Returns an iterator pointing to the element that it would be pointing to if advanced -n positions.

+ * + * @param it Iterator to base position. + * @param n Number of element positions offset (1 by default). + * + * @return An iterator to the element n positions before it. + */ + function prev(it, n) { + if (n === void 0) { n = 1; } + return it.advance(n); + } + std.prev = prev; + /** + *

Get iterator to next element.

+ * + *

Returns an iterator pointing to the element that it would be pointing to if advanced n positions.

+ * + * @param it Iterator to base position. + * @param n Number of element positions offset (1 by default). + * + * @return An iterator to the element n positions away from it. + */ + function next(it, n) { + if (n === void 0) { n = 1; } + return it.advance(n); + } + std.next = next; + // typedef is not specified in TypeScript yet. + // Instead, I listed all the containers and its iterators as overloaded functions + function begin(container) { + return container.begin(); + } + std.begin = begin; + // typedef is not specified in TypeScript yet. + // Instead, I listed all the containers and its iterators as overloaded functions + function end(container) { + return container.end(); + } + std.end = end; })(std || (std = {})); /// /// @@ -3164,42 +3585,49 @@ var std; var base; (function (base) { /** - *

An abstract set.

+ *

An abstract map.

+ * + *

{@link MapContainer MapContainers} are associative containers that store elements formed by a combination + * of a key value (Key) and a mapped value (T), and which allows for fast retrieval + * of individual elements based on their keys.

* - *

{@link SetContainer SetContainers} are containers that store elements allowing fast retrieval of - * individual elements based on their value.

+ *

In a {@link MapContainer}, the key values are generally used to identify the elements, while the + * mapped values store the content associated to this key. The types of key and + * mapped value may differ, and are grouped together in member type value_type, which is a + * {@link Pair} type combining both:

* - *

In an {@link SetContainer}, the value of an element is at the same time its key, used to - * identify it. Keys are immutable, therefore, the elements in an {@link SetContainer} cannot be - * modified once in the container - they can be inserted and removed, though.

+ *

typedef pair value_type;

* - *

{@link SetContainer} stores elements, keeps sequence and enables indexing by inserting elements into a + *

{@link MapContainer} stores elements, keeps sequence and enables indexing by inserting elements into a * {@link List} and registering {@link ListIterator iterators} of the {@link data_ list container} to an index * table like {@link RBTree tree} or {@link HashBuckets hash-table}.

* - *

- *

+ *

+ *

* *

Container properties

*
*
Associative
*
- * Elements in associative containers are referenced by their key and not by their absolute - * position in the container. + * Elements in associative containers are referenced by their key and not by their absolute position + * in the container. *
* - *
Set
- *
The value of an element is also the key used to identify it.
+ *
Map
+ *
+ * Each element associates a key to a mapped value: + * Keys are meant to identify the elements whose main content is the mapped value. + *
*
* - * @param Type of the elements. Each element in a {@link SetContainer} container is also identified - * by this value (each value is itself also the element's key). + * @param Type of the keys. Each element in a map is identified by its key value. + * @param Type of the mapped value. Each element in a map stores some data as its mapped value. * * @author Jeongho Nam */ - var SetContainer = (function (_super) { - __extends(SetContainer, _super); - function SetContainer() { + var MapContainer = (function (_super) { + __extends(MapContainer, _super); + function MapContainer() { var args = []; for (var _i = 0; _i < arguments.length; _i++) { args[_i - 0] = arguments[_i]; @@ -3222,26 +3650,29 @@ var std; /** * @hidden */ - SetContainer.prototype.init = function () { + MapContainer.prototype.init = function () { this.data_ = new std.List(); }; /** * @hidden */ - SetContainer.prototype.construct_from_array = function (items) { + MapContainer.prototype.construct_from_array = function (items) { for (var i = 0; i < items.length; i++) - this.insert_by_val(items[i]); + if (items[i] instanceof std.Pair) + this.insert_by_pair(items[i]); + else + this.insert_by_tuple(items[i]); }; /** * @hidden */ - SetContainer.prototype.construct_from_container = function (container) { + MapContainer.prototype.construct_from_container = function (container) { this.construct_from_range(container.begin(), container.end()); }; /** * @hidden */ - SetContainer.prototype.construct_from_range = function (begin, end) { + MapContainer.prototype.construct_from_range = function (begin, end) { this.assign(begin, end); }; /* --------------------------------------------------------- @@ -3250,41 +3681,85 @@ var std; /** * @inheritdoc */ - SetContainer.prototype.assign = function (begin, end) { + MapContainer.prototype.assign = function (first, last) { // INSERT this.clear(); - this.insert(begin, end); + this.insert(first, last); }; /** * @inheritdoc */ - SetContainer.prototype.clear = function () { + MapContainer.prototype.clear = function () { // TO BE ABSTRACT this.data_.clear(); }; /** - * @inheritdoc + *

Return iterator to beginning.

+ * + *

Returns an iterator referring the first element in the

+ * + *

Note

+ *

If the container is {@link empty}, the returned iterator is same with {@link end end()}.

+ * + * @return An iterator to the first element in the The iterator containes the first element's value. */ - SetContainer.prototype.begin = function () { - return new std.SetIterator(this, this.data_.begin()); + MapContainer.prototype.begin = function () { + return new std.MapIterator(this, this.data_.begin()); }; /** - * @inheritdoc + *

Return iterator to end.

+ *

Returns an iterator referring to the past-the-end element in the

+ * + *

The past-the-end element is the theoretical element that would follow the last element in the + * It does not point to any element, and thus shall not be dereferenced.

+ * + *

Because the ranges used by functions of the container do not include the element reference by their + * closing iterator, this function is often used in combination with {@link MapContainer}.{@link begin} to + * specify a range including all the elements in the

+ * + *

Note

+ *

Returned iterator from {@link MapContainer}.{@link end} does not refer any element. Trying to accessing + * element by the iterator will cause throwing exception ({@link OutOfRange}).

+ * + *

If the container is {@link empty}, this function returns the same as {@link begin}.

+ * + * @return An iterator to the end element in the */ - SetContainer.prototype.end = function () { - return new std.SetIterator(this, this.data_.end()); + MapContainer.prototype.end = function () { + return new std.MapIterator(this, this.data_.end()); }; /** - * @inheritdoc + *

Return {@link MapReverseIterator reverse iterator} to reverse beginning.

+ * + *

Returns a {@link MapReverseIterator reverse iterator} pointing to the last element in the container + * (i.e., its reverse beginning).

+ * + * {@link MapReverseIterator Reverse iterators} iterate backwards: increasing them moves them towards the + * beginning of the container.

+ * + *

{@link rbegin} points to the element preceding the one that would be pointed to by member {@link end}. + *

+ * + * @return A {@link MapReverseIterator reverse iterator} to the reverse beginning of the sequence + * */ - SetContainer.prototype.rbegin = function () { - return new std.SetReverseIterator(this.end()); + MapContainer.prototype.rbegin = function () { + return new std.MapReverseIterator(this.end()); }; /** - * @inheritdoc + *

Return {@link MapReverseIterator reverse iterator} to reverse end.

+ * + *

Returns a {@link MapReverseIterator reverse iterator} pointing to the theoretical element right before + * the first element in the {@link MapContainer map container} (which is considered its reverse end). + *

+ * + *

The range between {@link MapContainer}.{@link rbegin} and {@link MapContainer}.{@link rend} contains + * all the elements of the container (in reverse order).

+ * + * @return A {@link MapReverseIterator reverse iterator} to the reverse end of the sequence */ - SetContainer.prototype.rend = function () { - return new std.SetReverseIterator(this.begin()); + MapContainer.prototype.rend = function () { + return new std.MapReverseIterator(this.begin()); }; /* --------------------------------------------------------- ELEMENTS @@ -3292,80 +3767,87 @@ var std; /** *

Whether have the item or not.

* - *

Indicates whether a set has an item having the specified identifier.

+ *

Indicates whether a map has an item having the specified identifier.

* * @param key Key value of the element whose mapped value is accessed. * - * @return Whether the set has an item having the specified identifier. + * @return Whether the map has an item having the specified identifier. */ - SetContainer.prototype.has = function (val) { - return !this.find(val).equal_to(this.end()); + MapContainer.prototype.has = function (key) { + return !this.find(key).equal_to(this.end()); }; /** - * @inheritdoc + * Return the number of elements in the map. */ - SetContainer.prototype.size = function () { + MapContainer.prototype.size = function () { return this.data_.size(); }; - /* ========================================================= - ELEMENTS I/O - - INSERT - - ERASE - - POST-PROCESS - ============================================================ - INSERT - --------------------------------------------------------- */ - /** - * @inheritdoc - */ - SetContainer.prototype.push = function () { + MapContainer.prototype.push = function () { var args = []; for (var _i = 0; _i < arguments.length; _i++) { args[_i - 0] = arguments[_i]; } // TO BE ABSTRACT for (var i = 0; i < args.length; i++) - this.insert_by_val(args[i]); + if (args[i] instanceof std.Pair) + this.insert_by_pair(args[i]); + else if (args[i] instanceof Array) + this.insert_by_tuple(args[i]); return this.size(); }; - SetContainer.prototype.insert = function () { + MapContainer.prototype.insert = function () { var args = []; for (var _i = 0; _i < arguments.length; _i++) { args[_i - 0] = arguments[_i]; } - if (args.length == 1) - return this.insert_by_val(args[0]); - else if (args.length == 2 && args[0] instanceof std.Iterator) { - if (args[1] instanceof std.Iterator && args[0].get_source() != this && args[1].get_source() != this) { - // IT DOESN'T CONTAIN POSITION - // RANGES TO INSERT ONLY - return this.insert_by_range(args[0], args[1]); + if (args.length == 1 && args[0] instanceof std.Pair) { + return this.insert_by_pair(args[0]); + } + else if (args.length == 1 && args[0] instanceof Array) { + return this.insert_by_tuple(args[0]); + } + else if (args.length == 2 && args[0] instanceof std.Iterator && args[1] instanceof std.Iterator) { + return this.insert_by_range(args[0], args[1]); + } + else { + var ret = void 0; + var is_reverse_iterator = false; + // REVERSE_ITERATOR TO ITERATOR + if (args[0] instanceof std.MapReverseIterator) { + is_reverse_iterator = true; + args[0] = args[0].base().prev(); } - else { - var ret = void 0; - var is_reverse_iterator = false; - // REVERSE_ITERATOR TO ITERATOR - if (args[0] instanceof std.SetReverseIterator) { - is_reverse_iterator = true; - args[0] = args[0].base().prev(); - } - // INSERT AN ELEMENT + // INSERT AN ELEMENT + if (args[1] instanceof std.Pair) ret = this.insert_by_hint(args[0], args[1]); - // RETURN BRANCHES - if (is_reverse_iterator == true) - return new std.SetReverseIterator(ret.next()); - else - return ret; - } + else + ret = this.insert_by_hint_with_tuple(args[0], args[1]); + // RETURN BRANCHES + if (is_reverse_iterator == true) + return new std.MapReverseIterator(ret.next()); + else + return ret; } }; - SetContainer.prototype.erase = function () { + /** + * @hidden + */ + MapContainer.prototype.insert_by_tuple = function (tuple) { + return this.insert_by_pair(new std.Pair(tuple[0], tuple[1])); + }; + /** + * @hidden + */ + MapContainer.prototype.insert_by_hint_with_tuple = function (hint, tuple) { + return this.insert_by_hint(hint, std.make_pair(tuple[0], tuple[1])); + }; + MapContainer.prototype.erase = function () { var args = []; for (var _i = 0; _i < arguments.length; _i++) { args[_i - 0] = arguments[_i]; } if (args.length == 1 && (args[0] instanceof std.Iterator == false || args[0].get_source() != this)) - return this.erase_by_val(args[0]); + return this.erase_by_key(args[0]); else if (args.length == 1) return this.erase_by_iterator(args[0]); else @@ -3374,101 +3856,101 @@ var std; /** * @hidden */ - SetContainer.prototype.erase_by_iterator = function (first, last) { + MapContainer.prototype.erase_by_key = function (key) { + var it = this.find(key); + if (it.equal_to(this.end()) == true) + return 0; + this.erase_by_iterator(it); + return 1; + }; + /** + * @hidden + */ + MapContainer.prototype.erase_by_iterator = function (first, last) { if (last === void 0) { last = first.next(); } var ret; var is_reverse_iterator = false; // REVERSE ITERATOR TO ITERATOR - if (first instanceof std.SetReverseIterator) { + if (first instanceof std.MapReverseIterator) { is_reverse_iterator = true; var first_it = last.base(); var last_it = first.base(); - first = first_it; - last = last_it; - } - // ERASE ELEMENTS - ret = this.erase_by_range(first, last); - // RETURN BRANCHES - if (is_reverse_iterator == true) - return new std.SetReverseIterator(ret.next()); - else - return ret; - }; - /** - * @hidden - */ - SetContainer.prototype.erase_by_val = function (val) { - // TEST WHETHER EXISTS - var it = this.find(val); - if (it.equal_to(this.end()) == true) - return 0; - // ERASE - this.erase_by_iterator(it); - return 1; + first = first_it; + last = last_it; + } + // ERASE ELEMENTS + ret = this.erase_by_range(first, last); + // RETURN BRANCHES + if (is_reverse_iterator == true) + return new std.MapReverseIterator(ret.next()); + else + return ret; }; /** * @hidden */ - SetContainer.prototype.erase_by_range = function (begin, end) { + MapContainer.prototype.erase_by_range = function (begin, end) { // ERASE - var list_iterator = this.data_.erase(begin.get_list_iterator(), end.get_list_iterator()); + var listIterator = this.data_.erase(begin.get_list_iterator(), end.get_list_iterator()); // POST-PROCESS this.handle_erase(begin, end); - return new std.SetIterator(this, list_iterator); //begin.prev(); + return new std.MapIterator(this, listIterator); }; - return SetContainer; + return MapContainer; }(base.Container)); - base.SetContainer = SetContainer; + base.MapContainer = MapContainer; })(base = std.base || (std.base = {})); })(std || (std = {})); var std; (function (std) { /** - *

An iterator of a Set.

+ *

An iterator of {@link MapContainer map container}.

* - *

- *

+ *

+ *

* * @author Jeongho Nam */ - var SetIterator = (function (_super) { - __extends(SetIterator, _super); + var MapIterator = (function (_super) { + __extends(MapIterator, _super); + /* --------------------------------------------------------- + CONSTRUCTORS + --------------------------------------------------------- */ /** - *

Construct from source and index number.

- * - *

Note

- *

Do not create iterator directly.

- *

Use begin(), find() or end() in Map instead.

+ * Construct from the {@link MapContainer source map} and {@link ListIterator list iterator}. * - * @param map The source Set to reference. - * @param index Sequence number of the element in the source Set. + * @param source The source {@link MapContainer}. + * @param list_iterator A {@link ListIterator} pointing {@link Pair} of key and value. */ - function SetIterator(source, it) { + function MapIterator(source, list_iterator) { _super.call(this, source); - this.list_iterator_ = it; + this.list_iterator_ = list_iterator; } /* --------------------------------------------------------- MOVERS --------------------------------------------------------- */ /** - * @inheritdoc + * Get iterator to previous element. */ - SetIterator.prototype.prev = function () { - return new SetIterator(this.set, this.list_iterator_.prev()); + MapIterator.prototype.prev = function () { + return new MapIterator(this.map, this.list_iterator_.prev()); }; /** - * @inheritdoc + * Get iterator to next element. */ - SetIterator.prototype.next = function () { - return new SetIterator(this.set, this.list_iterator_.next()); + MapIterator.prototype.next = function () { + return new MapIterator(this.map, this.list_iterator_.next()); }; /** - * @inheritdoc + * Advances the Iterator by n element positions. + * + * @param step Number of element positions to advance. + * @return An advanced Iterator. */ - SetIterator.prototype.advance = function (size) { - return new SetIterator(this.set, this.list_iterator_.advance(size)); + MapIterator.prototype.advance = function (step) { + return new MapIterator(this.map, this.list_iterator_.advance(step)); }; - Object.defineProperty(SetIterator.prototype, "set", { + Object.defineProperty(MapIterator.prototype, "map", { /* --------------------------------------------------------- ACCESSORS --------------------------------------------------------- */ @@ -3481,10 +3963,13 @@ var std; enumerable: true, configurable: true }); - SetIterator.prototype.get_list_iterator = function () { + /** + * Get ListIterator. + */ + MapIterator.prototype.get_list_iterator = function () { return this.list_iterator_; }; - Object.defineProperty(SetIterator.prototype, "value", { + Object.defineProperty(MapIterator.prototype, "value", { /** * @inheritdoc */ @@ -3494,980 +3979,711 @@ var std; enumerable: true, configurable: true }); + Object.defineProperty(MapIterator.prototype, "first", { + /** + * Get first, key element. + */ + get: function () { + return this.list_iterator_.value.first; + }, + enumerable: true, + configurable: true + }); + Object.defineProperty(MapIterator.prototype, "second", { + /** + * Get second, value element. + */ + get: function () { + return this.list_iterator_.value.second; + }, + /** + * Set second value. + */ + set: function (val) { + this.list_iterator_.value.second = val; + }, + enumerable: true, + configurable: true + }); /* --------------------------------------------------------- COMPARISONS --------------------------------------------------------- */ /** - * @inheritdoc + *

Whether an iterator is equal with the iterator.

+ * + *

Compare two iterators and returns whether they are equal or not.

+ * + * @param obj An iterator to compare + * @return Indicates whether equal or not. */ - SetIterator.prototype.equal_to = function (obj) { - return _super.prototype.equal_to.call(this, obj) && this.list_iterator_ == obj.list_iterator_; + MapIterator.prototype.equal_to = function (obj) { + return this.source_ == obj.source_ && this.list_iterator_.equal_to(obj.list_iterator_); }; - /** - * @inheritdoc - */ - SetIterator.prototype.less = function (obj) { - return std.less(this.value, obj.value); + MapIterator.prototype.less = function (obj) { + return std.less(this.first, obj.first); }; - /** - * @inheritdoc - */ - SetIterator.prototype.hash = function () { - return std.hash(this.value); + MapIterator.prototype.hash = function () { + return std.hash(this.first); }; - /** - * @inheritdoc - */ - SetIterator.prototype.swap = function (obj) { + MapIterator.prototype.swap = function (obj) { this.list_iterator_.swap(obj.list_iterator_); }; - return SetIterator; + return MapIterator; }(std.Iterator)); - std.SetIterator = SetIterator; + std.MapIterator = MapIterator; /** - *

A reverse-iterator of Set.

- * - *

- *

+ *

A reverse-iterator of {@link MapContainer map container}.

* - * @param Type of the elements. + *

+ *

* * @author Jeongho Nam */ - var SetReverseIterator = (function (_super) { - __extends(SetReverseIterator, _super); + var MapReverseIterator = (function (_super) { + __extends(MapReverseIterator, _super); /* --------------------------------------------------------- CONSTRUCTORS --------------------------------------------------------- */ - function SetReverseIterator(base) { + /** + * Construct from base iterator. + * + * @param base A reference of the base iterator, which iterates in the opposite direction. + */ + function MapReverseIterator(base) { _super.call(this, base); } /** - * @inheritdoc + * @hidden */ - SetReverseIterator.prototype.create_neighbor = function () { - return new SetReverseIterator(null); + MapReverseIterator.prototype.create_neighbor = function () { + return new MapReverseIterator(null); }; - return SetReverseIterator; - }(std.ReverseIterator)); - std.SetReverseIterator = SetReverseIterator; -})(std || (std = {})); -/// -/// -var std; -(function (std) { - var base; - (function (base) { - /** - *

An abstract set.

- * - *

{@link SetContainer SetContainers} are containers that store elements allowing fast retrieval of - * individual elements based on their value.

- * - *

In an {@link SetContainer}, the value of an element is at the same time its key, used to - * identify it. Keys are immutable, therefore, the elements in an {@link SetContainer} cannot be - * modified once in the container - they can be inserted and removed, though.

- * - *

{@link SetContainer} stores elements, keeps sequence and enables indexing by inserting elements into a - * {@link List} and registering {@link ListIterator iterators} of the {@link data_ list container} to an index - * table like {@link RBTree tree} or {@link HashBuckets hash-table}.

- * - *

- *

- * - *

Container properties

- *
- *
Associative
- *
- * Elements in associative containers are referenced by their key and not by their absolute - * position in the container. - *
- * - *
Set
- *
The value of an element is also the key used to identify it.
- * - *
Multiple equivalent keys
- *
Multiple elements in the container can have equivalent keys.
- *
- * - * @param Type of the elements. Each element in a {@link SetContainer} container is also identified - * by this value (each value is itself also the element's key). - * - * @author Jeongho Nam - */ - var MultiSet = (function (_super) { - __extends(MultiSet, _super); - function MultiSet() { - _super.apply(this, arguments); - } - MultiSet.prototype.insert = function () { - var args = []; - for (var _i = 0; _i < arguments.length; _i++) { - args[_i - 0] = arguments[_i]; - } - return _super.prototype.insert.apply(this, args); - }; + Object.defineProperty(MapReverseIterator.prototype, "first", { /* --------------------------------------------------------- - UTILITIES + ACCESSORS --------------------------------------------------------- */ /** - * @inheritdoc + * Get first, key element. */ - MultiSet.prototype.swap = function (obj) { - var vec = new std.Vector(this.begin(), this.end()); - this.assign(obj.begin(), obj.end()); - obj.assign(vec.begin(), vec.end()); - }; - return MultiSet; - }(base.SetContainer)); - base.MultiSet = MultiSet; - })(base = std.base || (std.base = {})); + get: function () { + return this.base_.first; + }, + enumerable: true, + configurable: true + }); + Object.defineProperty(MapReverseIterator.prototype, "second", { + /** + * Get second, value element. + */ + get: function () { + return this.base_.second; + }, + /** + * Set second value. + */ + set: function (val) { + this.base_.second = val; + }, + enumerable: true, + configurable: true + }); + return MapReverseIterator; + }(std.ReverseIterator)); + std.MapReverseIterator = MapReverseIterator; })(std || (std = {})); /// +/// var std; (function (std) { var base; (function (base) { /** - *

Red-black Tree.

- * - *

A red-black tree is a kind of self-balancing - * binary search tree. Each node of the binary tree has an extra bit, and that bit is often interpreted as the - * color (red or black) of the node. These color bits - * are used to ensure the tree remains approximately balanced during insertions and deletions.

- * - *

Balance is preserved by painting each node of the tree with one of two colors (typically called - * 'red' and 'black') in a way that satisfies certain - * properties, which collectively constrain how unbalanced the tree can become in the worst case. When the tree - * is modified, the new tree is subsequently rearranged and repainted to restore the coloring properties. The - * properties are designed in such a way that this rearranging and recoloring can be performed efficiently.

- * - *

The balancing of the tree is not perfect but it is good enough to allow it to guarantee searching in - * O(log n) time, where n is the total number of elements in the tree. The insertion and deletion operations, - * along with the tree rearrangement and recoloring, are also performed in O(log n) time.

- * - *

Tracking the color of each node requires only 1 bit of information per node because there are only two - * colors. The tree does not contain any other data specific to its being a - * red-black tree so its memory footprint is almost - * identical to a classic (uncolored) binary search tree. In many cases the additional bit of information can - * be stored at no additional memory cost.

- * - *

Properties

- *

In addition to the requirements imposed on a binary search tree the following must be satisfied by a - * red-black tree:

- * - *
    - *
  1. A node is either red or black.
    2. - *
  2. - * The root is black. This rule is sometimes omitted. Since the root can - * always be changed from red to black, but not - * necessarily vice versa, this rule has little effect on analysis. - *
    3. - *
  3. All leaves (NIL; null) are black.
    4. - *
  4. - * If a node is red, then both its children are - * black. - *
    5. - *
  5. - * Every path from a given node to any of its descendant NIL nodes contains the same number of - * black nodes. Some definitions: the number of - * black nodes from the root to a node is the node's - * black depth; the uniform number of black - * nodes in all paths from root to the leaves is called the black-height of - * the red-black tree. - *
    6. - *
- * - *

- * - *

These constraints enforce a critical property of red-black trees: the path from the root to the farthest - * leaf is no more than twice as long as the path from the root to the nearest leaf. The result is that the tree - * is roughly height-balanced. Since operations such as inserting, deleting, and finding values require - * worst-case time proportional to the height of the tree, this theoretical upper bound on the height allows - * red-black trees to be efficient in the worst case, unlike ordinary binary search trees.

- * - *

To see why this is guaranteed, it suffices to consider the effect of properties 4 and 5 together. For a - * red-black tree T, let B be the number of black nodes in property 5. Let the - * shortest possible path from the root of T to any leaf consist of B black nodes. - * Longer possible paths may be constructed by inserting red nodes. However, property 4 - * makes it impossible to insert more than one consecutive red node. Therefore, - * ignoring any black NIL leaves, the longest possible path consists of 2*B nodes, - * alternating black and red (this is the worst case). - * Counting the black NIL leaves, the longest possible path consists of 2*B-1 - * nodes.

- * - *

The shortest possible path has all black nodes, and the longest possible - * path alternates between red and black nodes. Since all - * maximal paths have the same number of black nodes, by property 5, this shows - * that no path is more than twice as long as any other path.

+ *

Hash buckets storing {@link MapIterator MapIterators}.

* - * @param Type of elements. + *

+ * + *

* - * @reference https://en.wikipedia.org/w/index.php?title=Red%E2%80%93black_tree - * @inventor Rudolf Bayer - * @author Migrated by Jeongho Nam + * @author Jeongho Nam */ - var XTree = (function () { - /* ========================================================= - CONSTRUCTOR - ========================================================= */ - /** - * Default Constructor. - */ - function XTree() { - this.root_ = null; + var MapHashBuckets = (function (_super) { + __extends(MapHashBuckets, _super); + function MapHashBuckets(map) { + _super.call(this); + this.map = map; } - XTree.prototype.clear = function () { - this.root_ = null; - }; - /* ========================================================= - ACCESSORS - - GETTERS - - COMPARISON - ============================================================ - GETTERS - --------------------------------------------------------- */ - /** - * Find a node from its contained value. - * - * @param val Value to find. - */ - XTree.prototype.find = function (val) { - if (this.root_ == null) - return null; - var node = this.root_; - while (true) { - var newNode = null; - if (this.is_equal_to(val, node.value)) - break; // EQUALS, MEANS MATCHED, THEN TERMINATE - else if (this.is_less(val, node.value)) - newNode = node.left; // LESS, THEN TO THE LEFT - else - newNode = node.right; // GREATER, THEN TO THE RIGHT - // ULTIL CHILD NODE EXISTS - if (newNode == null) - break; - // SHIFT A NEW NODE TO THE NODE TO BE RETURNED - node = newNode; - } - return node; - }; - /** - * Fetch maximum (the rightes?) node from one. - * - * @param node A node to fetch its maximum node. - * @return The maximum node. - */ - XTree.prototype.fetch_maximum = function (node) { - while (node.right != null) - node = node.right; - return node; + MapHashBuckets.prototype.find = function (key) { + var index = std.hash(key) % this.size(); + var bucket = this.at(index); + for (var i = 0; i < bucket.size(); i++) + if (std.equal_to(bucket.at(i).first, key)) + return bucket.at(i); + return this.map.end(); }; - /* ========================================================= - ELEMENTS I/O - - INSERT - - ERASE - - COLOR - - ROTATION - ============================================================ - INSERT - --------------------------------------------------------- */ - /** - *

Insert an element with a new node.

- * - *

Insertion begins by adding the node as any binary search tree insertion does and by coloring it - * red. Whereas in the binary search tree, we always add a leaf, in the red-black - * tree, leaves contain no information, so instead we add a red interior node, with - * two black leaves, in place of an existing - * black leaf.

- * - *

What happens next depends on the color of other nearby nodes. The term uncle node will be used to - * refer to the sibling of a node's parent, as in human family trees. Note that:

- * - *
    - *
  • property 3 (all leaves are black) always holds.
    • - *
  • - * property 4 (both children of every red node are - * black) is threatened only by adding a red - * node, repainting a black node red, or a - * rotation. - *
    • - *
  • - * property 5 (all paths from any given node to its leaf nodes contain the same number of - * black nodes) is threatened only by adding a - * black node, repainting a red node - * black (or vice versa), or a rotation. - *
    • - *
- * - *

Notes

- *
    - *
  1. - * The label N will be used to denote the current node (colored - * red). In the diagrams N carries a blue contour. At the - * beginning, this is the new node being inserted, but the entire procedure may also be applied - * recursively to other nodes (see case 3). {@link XTreeNode.parent P} will denote - * N's parent node, {@link XTreeNode.grand_parent G} will denote N's - * grandparent, and {@link XTreeNode.uncle U} will denote N's uncle. In between - * some cases, the roles and labels of the nodes are exchanged, but in each case, every label continues - * to represent the same node it represented at the beginning of the case. - *
    2. - *
  2. - * If a node in the right (target) half of a diagram carries a blue contour it will become the current - * node in the next iteration and there the other nodes will be newly assigned relative to it. Any - * color shown in the diagram is either assumed in its case or implied by those assumptions. - *
    3. - *
  3. - * A numbered triangle represents a subtree of unspecified depth. A black - * circle atop a triangle means that black-height of subtree is greater - * by one compared to subtree without this circle.
    4. - *
- * - *

There are several cases of red-black tree insertion to handle:

- * - *
    - *
  • N is the root node, i.e., first node of red-black tree.
    • - *
  • - * N's parent ({@link XTreeNode.parent P}) is black. - *
    • - *
  • - * N's parent ({@link XTreeNode.parent P}) and uncle - * ({@link XTreeNode.uncle U}) are red. - *
    • - *
  • - * N is added to right of left child of grandparent, or N is added to left - * of right child of grandparent ({@link XTreeNode.parent P} is red and - * {@link XTreeNode.uncle U} is black). - *
    • - *
  • - * N is added to left of left child of grandparent, or N is added to right - * of right child of grandparent ({@link XTreeNode.parent P} is red and - * {@link XTreeNode.uncle U} is black). - *
    • - *
- * - *

Note

- *

Note that inserting is actually in-place, since all the calls above use tail recursion.

- * - *

In the algorithm above, all cases are chained in order, except in insert case 3 where it can recurse - * to case 1 back to the grandparent node: this is the only case where an iterative implementation will - * effectively loop. Because the problem of repair is escalated to the next higher level but one, it takes - * maximally h⁄2 iterations to repair the tree (where h is the height of the tree). Because the probability - * for escalation decreases exponentially with each iteration the average insertion cost is constant.

- * - * @param val An element to insert. - */ - XTree.prototype.insert = function (val) { - var parent = this.find(val); - var node = new base.XTreeNode(val, base.Color.RED); - if (parent == null) - this.root_ = node; - else { - node.parent = parent; - if (this.is_less(node.value, parent.value)) - parent.left = node; - else - parent.right = node; + return MapHashBuckets; + }(base.HashBuckets)); + base.MapHashBuckets = MapHashBuckets; + })(base = std.base || (std.base = {})); +})(std || (std = {})); +/// +/// +var std; +(function (std) { + var base; + (function (base) { + /** + *

An abstract multi-map.

+ * + *

{@link MultiMap MultiMaps} are associative containers that store elements formed by a combination of a + * key value (Key) and a mapped value (T), and which allows for fast retrieval of + * individual elements based on their keys.

+ * + *

In a {@link MapContainer}, the key values are generally used to identify the elements, while the + * mapped values store the content associated to this key. The types of key and + * mapped value may differ, and are grouped together in member type value_type, which is a + * {@link Pair} type combining both:

+ * + *

typedef pair value_type;

+ * + *

{@link UniqueMap} stores elements, keeps sequence and enables indexing by inserting elements into a + * {@link List} and registering {@link ListIterator iterators} of the {@link data_ list container} to an index + * table like {@link RBTree tree} or {@link HashBuckets hash-table}.

+ * + *

+ *

+ * + *

Container properties

+ *
+ *
Associative
+ *
+ * Elements in associative containers are referenced by their key and not by their absolute position + * in the container. + *
+ * + *
Map
+ *
+ * Each element associates a key to a mapped value: + * Keys are meant to identify the elements whose main content is the mapped value. + *
+ * + *
Multiple equivalent keys
+ *
Multiple elements in the container can have equivalent keys.
+ *
+ * + * @param Type of the keys. Each element in a map is identified by its key value. + * @param Type of the mapped value. Each element in a map stores some data as its mapped value. + * + * @author Jeongho Nam + */ + var MultiMap = (function (_super) { + __extends(MultiMap, _super); + function MultiMap() { + _super.apply(this, arguments); + } + MultiMap.prototype.insert = function () { + var args = []; + for (var _i = 0; _i < arguments.length; _i++) { + args[_i - 0] = arguments[_i]; } - this.insert_case1(node); + return _super.prototype.insert.apply(this, args); }; /** - *

N is the root node, i.e., first node of red-black tree.

+ *

Swap content.

* - *

The current node N is at the {@link root_ root} of the tree.

+ *

Exchanges the content of the container by the content of obj, which is another + * {@link UniqueMap map} of the same type. Sizes abd container type may differ.

* - *

In this case, it is repainted black to satisfy property 2 (the root is - * black). Since this adds one black node to - * every path at once, property 5 (all paths from any given node to its leaf nodes contain the same number - * of black nodes) is not violated.

+ *

After the call to this member function, the elements in this container are those which were + * in obj before the call, and the elements of obj are those which were in this. All + * iterators, references and pointers remain valid for the swapped objects.

* - * @param N A node to be inserted or swapped. + *

Notice that a non-member function exists with the same name, {@link std.swap swap}, overloading that + * algorithm with an optimization that behaves like this member function.

+ * + * @param obj Another {@link MultiMap map container} of the same type of elements as this (i.e., + * with the same template parameters, Key and T) whose content is swapped + * with that of this {@link MultiMap container}. */ - XTree.prototype.insert_case1 = function (N) { - if (N.parent == null) - N.color = base.Color.BLACK; - else - this.insert_case2(N); + MultiMap.prototype.swap = function (obj) { + var vec = new std.Vector(this.begin(), this.end()); + this.assign(obj.begin(), obj.end()); + obj.assign(vec.begin(), vec.end()); }; + return MultiMap; + }(base.MapContainer)); + base.MultiMap = MultiMap; + })(base = std.base || (std.base = {})); +})(std || (std = {})); +/// +/// +/// +var std; +(function (std) { + var base; + (function (base) { + /** + *

An abstract set.

+ * + *

{@link SetContainer SetContainers} are containers that store elements allowing fast retrieval of + * individual elements based on their value.

+ * + *

In an {@link SetContainer}, the value of an element is at the same time its key, used to + * identify it. Keys are immutable, therefore, the elements in an {@link SetContainer} cannot be + * modified once in the container - they can be inserted and removed, though.

+ * + *

{@link SetContainer} stores elements, keeps sequence and enables indexing by inserting elements into a + * {@link List} and registering {@link ListIterator iterators} of the {@link data_ list container} to an index + * table like {@link RBTree tree} or {@link HashBuckets hash-table}.

+ * + *

+ *

+ * + *

Container properties

+ *
+ *
Associative
+ *
+ * Elements in associative containers are referenced by their key and not by their absolute + * position in the container. + *
+ * + *
Set
+ *
The value of an element is also the key used to identify it.
+ *
+ * + * @param Type of the elements. Each element in a {@link SetContainer} container is also identified + * by this value (each value is itself also the element's key). + * + * @author Jeongho Nam + */ + var SetContainer = (function (_super) { + __extends(SetContainer, _super); + function SetContainer() { + var args = []; + for (var _i = 0; _i < arguments.length; _i++) { + args[_i - 0] = arguments[_i]; + } + _super.call(this); + // INITIALIZATION + this.init(); + // BRANCH - OVERLOADINGS + if (args.length == 0) { } // DO NOTHING + else if (args.length == 1 && (args[0] instanceof base.Container || args[0] instanceof std.Vector)) { + this.construct_from_container(args[0]); + } + else if (args.length == 1 && args[0] instanceof Array) { + this.construct_from_array(args[0]); + } + else if (args.length == 2 && args[0] instanceof std.Iterator && args[1] instanceof std.Iterator) { + this.construct_from_range(args[0], args[1]); + } + } /** - *

N's parent ({@link XTreeNode.parent P}) is black.

- * - *

The current node's parent {@link XTreeNode.parent P} is black, - * so property 4 (both children of every red node are - * black) is not invalidated.

- * - *

In this case, the tree is still valid. Property 5 (all paths from any given node to its leaf nodes - * contain the same number of black nodes) is not threatened, because the - * current node N has two black leaf children, but because - * N is red, the paths through each of its children have the same - * number of black nodes as the path through the leaf it replaced, which was - * black, and so this property remains satisfied.

- * - * @param N A node to be inserted or swapped. + * @hidden */ - XTree.prototype.insert_case2 = function (N) { - if (this.fetch_color(N.parent) == base.Color.BLACK) - return; - else - this.insert_case3(N); + SetContainer.prototype.init = function () { + this.data_ = new std.List(); }; /** - *

N's parent ({@link XTreeNode.parent P}) and uncle - * ({@link XTreeNode.uncle U}) are red.

- * - *

If both the parent {@link XTreeNode.parent P} and the uncle {@link XTreeNode.uncle U} - * are red, then both of them can be repainted black - * and the grandparent {@link XTreeNode.grand_parent G} becomes red (to - * maintain property 5 (all paths from any given node to its leaf nodes contain the same number of - * black nodes)).

- * - *

Now, the current red node N has a - * black parent. Since any path through the parent or uncle must pass through - * the grandparent, the number of black nodes on these paths has not changed. - * - *

However, the grandparent {@link XTreeNode.grand_parent G} may now violate properties 2 (The - * root is black) or 4 (Both children of every red - * node are black) (property 4 possibly being violated since - * {@link XTreeNode.grand_parent G} may have a red parent).

- * - *

To fix this, the entire procedure is recursively performed on {@link XTreeNode.grand_parent G} - * from case 1. Note that this is a tail-recursive call, so it could be rewritten as a loop; since this is - * the only loop, and any rotations occur after this loop, this proves that a constant number of rotations - * occur.

- * - *

- * - * @param N A node to be inserted or swapped. + * @hidden */ - XTree.prototype.insert_case3 = function (N) { - if (this.fetch_color(N.uncle) == base.Color.RED) { - N.parent.color = base.Color.BLACK; - N.uncle.color = base.Color.BLACK; - N.grand_parent.color = base.Color.RED; - this.insert_case1(N.grand_parent); - } - else { - this.insert_case4(N); - } + SetContainer.prototype.construct_from_array = function (items) { + for (var i = 0; i < items.length; i++) + this.insert_by_val(items[i]); }; /** - *

N is added to right of left child of grandparent, or N is added to left - * of right child of grandparent ({@link XTreeNode.parent P} is red and - * {@link XTreeNode.uncle U} is black).

- * - *

The parent {@link XTreeNode.parent P} is red but the uncle - * {@link XTreeNode.uncle U} is black; also, the current node - * N is the right child of {@link XTreeNode.parent P}, and - * {@link XTreeNode.parent P} in turn is the left child of its parent - * {@link XTreeNode.grand_parent G}.

- * - *

In this case, a left rotation on {@link XTreeNode.parent P} that switches the roles of the - * current node N and its parent {@link XTreeNode.parent P} can be performed; then, - * the former parent node {@link XTreeNode.parent P} is dealt with using case 5 - * (relabeling N and {@link XTreeNode.parent P}) because property 4 (both children of - * every red node are black) is still violated.

- * - *

The rotation causes some paths (those in the sub-tree labelled "1") to pass through the node - * N where they did not before. It also causes some paths (those in the sub-tree labelled "3") - * not to pass through the node {@link XTreeNode.parent P} where they did before. However, both of - * these nodes are red, so property 5 (all paths from any given node to its leaf - * nodes contain the same number of black nodes) is not violated by the - * rotation.

- * - *

After this case has been completed, property 4 (both children of every red - * node are black) is still violated, but now we can resolve this by - * continuing to case 5.

- * - *

- * - * @param N A node to be inserted or swapped. + * @hidden */ - XTree.prototype.insert_case4 = function (node) { - if (node == node.parent.right && node.parent == node.grand_parent.left) { - this.rotate_left(node.parent); - node = node.left; - } - else if (node == node.parent.left && node.parent == node.grand_parent.right) { - this.rotate_right(node.parent); - node = node.right; - } - this.insert_case5(node); + SetContainer.prototype.construct_from_container = function (container) { + this.construct_from_range(container.begin(), container.end()); }; /** - *

N is added to left of left child of grandparent, or N is added to right - * of right child of grandparent ({@link XTreeNode.parent P} is red and - * {@link XTreeNode.uncle U} is black).

- * - *

The parent {@link XTreeNode.parent P} is red but the uncle - * {@link XTreeNode.uncle U} is black, the current node N - * is the left child of {@link XTreeNode.parent P}, and {@link XTreeNode.parent P} is the left - * child of its parent {@link XTreeNode.grand_parent G}.

- * - *

In this case, a right rotation on {@link XTreeNode.grand_parent G} is performed; the result is a - * tree where the former parent {@link XTreeNode.parent P} is now the parent of both the current node - * N and the former grandparent {@link XTreeNode.grand_parent G}.

- * - *

{@link XTreeNode.grand_parent G} is known to be black, since its - * former child {@link XTreeNode.parent P} could not have been red otherwise - * (without violating property 4). Then, the colors of {@link XTreeNode.parent P} and - * {@link XTreeNode.grand_parent G} are switched, and the resulting tree satisfies property 4 (both - * children of every red node are black). Property 5 - * (all paths from any given node to its leaf nodes contain the same number of - * black nodes) also remains satisfied, since all paths that went through any - * of these three nodes went through {@link XTreeNode.grand_parent G} before, and now they all go - * through {@link XTreeNode.parent P}. In each case, this is the only - * black node of the three.

- * - *

- * - * @param N A node to be inserted or swapped. + * @hidden */ - XTree.prototype.insert_case5 = function (node) { - node.parent.color = base.Color.BLACK; - node.grand_parent.color = base.Color.RED; - if (node == node.parent.left && node.parent == node.grand_parent.left) - this.rotate_right(node.grand_parent); - else - this.rotate_left(node.grand_parent); + SetContainer.prototype.construct_from_range = function (begin, end) { + this.assign(begin, end); }; /* --------------------------------------------------------- - ERASE + ASSIGN & CLEAR --------------------------------------------------------- */ /** - *

Erase an element with its node.

- * - *

In a regular binary search tree when deleting a node with two non-leaf children, we find either the - * maximum element in its left subtree (which is the in-order predecessor) or the minimum element in its - * right subtree (which is the in-order successor) and move its value into the node being deleted (as shown - * here). We then delete the node we copied the value from, which must have fewer than two non-leaf children. - * (Non-leaf children, rather than all children, are specified here because unlike normal binary search - * trees, red-black trees can have leaf nodes anywhere, so that all nodes are either internal nodes with - * two children or leaf nodes with, by definition, zero children. In effect, internal nodes having two leaf - * children in a red-black tree are like the leaf nodes in a regular binary search tree.) Because merely - * copying a value does not violate any red-black properties, this reduces to the problem of deleting a node - * with at most one non-leaf child. Once we have solved that problem, the solution applies equally to the - * case where the node we originally want to delete has at most one non-leaf child as to the case just - * considered where it has two non-leaf children.

- * - *

Therefore, for the remainder of this discussion we address the deletion of a node with at most one - * non-leaf child. We use the label M to denote the node to be deleted; C will denote a - * selected child of M, which we will also call "its child". If M does have a non-leaf child, - * call that its child, C; otherwise, choose either leaf as its child, C.

- * - *

If M is a red node, we simply replace it with its child C, - * which must be black by property 4. (This can only occur when M has - * two leaf children, because if the red node M had a - * black non-leaf child on one side but just a leaf child on the other side, - * then the count of black nodes on both sides would be different, thus the - * tree would violate property 5.) All paths through the deleted node will simply pass through one fewer - * red node, and both the deleted node's parent and child must be - * black, so property 3 (all leaves are black) - * and property 4 (both children of every red node are - * black) still hold.

- * - *

Another simple case is when M is black and C is - * red. Simply removing a black node could break - * Properties 4 (“Both children of every red node are - * black”) and 5 (“All paths from any given node to its leaf nodes contain the - * same number of black nodes”), but if we repaint C - * black, both of these properties are preserved.

- * - *

The complex case is when both M and C are black. (This - * can only occur when deleting a black node which has two leaf children, - * because if the black node M had a black - * non-leaf child on one side but just a leaf child on the other side, then the count of - * black nodes on both sides would be different, thus the tree would have been - * an invalid red-black tree by violation of property 5.) We begin by replacing M with its child - * C. We will relabel this child C (in its new position) N, and its sibling (its - * new parent's other child) {@link XTreeNode.sibling S}. ({@link XTreeNode.sibling S} was - * previously the sibling of M.)

- * - *

In the diagrams below, we will also use {@link XTreeNode.parent P} for N's new - * parent (M's old parent), SL for {@link XTreeNode.sibling S}'s left child, and - * SR for {@link XTreeNode.sibling S}'s right child ({@link XTreeNode.sibling S} cannot - * be a leaf because if M and C were black, then - * {@link XTreeNode.parent P}'s one subtree which included M counted two - * black-height and thus {@link XTreeNode.parent P}'s other subtree - * which includes {@link XTreeNode.sibling S} must also count two - * black-height, which cannot be the case if {@link XTreeNode.sibling S} - * is a leaf node).

- * - *

Notes

- *
    - *
  1. - * The label N will be used to denote the current node (colored - * black). In the diagrams N carries a blue contour. At the - * beginning, this is the replacement node and a leaf, but the entire procedure may also be applied - * recursively to other nodes (see case 3). In between some cases, the roles and labels of the nodes - * are exchanged, but in each case, every label continues to represent the same node it represented at - * the beginning of the case. - *
    2. - *
  2. - * If a node in the right (target) half of a diagram carries a blue contour it will become the current - * node in the next iteration and there the other nodes will be newly assigned relative to it. Any - * color shown in the diagram is either assumed in its case or implied by those assumptions. - * White represents an arbitrary color (either red or - * black), but the same in both halves of the diagram. - *
    3. - *
  3. - * A numbered triangle represents a subtree of unspecified depth. A black - * circle atop a triangle means that black-height of subtree is greater - * by one compared to subtree without this circle. - *
    4. - *
- * - *

If both N and its original parent are black, then - * deleting this original parent causes paths which proceed through N to have one fewer - * black node than paths that do not. As this violates property 5 (all paths - * from any given node to its leaf nodes contain the same number of black - * nodes), the tree must be rebalanced. There are several cases to consider:

- * - *
    - *
  1. N is the new root.
    2. - *
  2. {@link XTreeNode.sibling S} is red.
    3. - *
  3. - * {@link XTreeNode.parent P}, {@link XTreeNode.sibling S}, and - * {@link XTreeNode.sibling S}'s children are black.
    4. - *
  4. - * {@link XTreeNode.sibling S} and {@link XTreeNode.sibling S}'s children are - * black, but {@link XTreeNode.parent P} is - * red. - *
    5. - *
  5. - * {@link XTreeNode.sibling S} is black, - * {@link XTreeNode.sibling S}'s left child is red, - * {@link XTreeNode.sibling S}'s right child is black, and - * N is the left child of its parent. - *
    6. - *
  6. - * {@link XTreeNode.sibling S} is black, - * {@link XTreeNode.sibling S}'s right child is red, and - * N is the left child of its parent {@link XTreeNode.parent P}. - *
    7. - *
- * - *

Again, the function calls all use tail recursion, so the algorithm is in-place.

- * - *

In the algorithm above, all cases are chained in order, except in delete case 3 where it can recurse - * to case 1 back to the parent node: this is the only case where an iterative implementation will - * effectively loop. No more than h loops back to case 1 will occur (where h is the height of the tree). - * And because the probability for escalation decreases exponentially with each iteration the average - * removal cost is constant.

- * - *

Additionally, no tail recursion ever occurs on a child node, so the tail recursion loop can only - * move from a child back to its successive ancestors. If a rotation occurs in case 2 (which is the only - * possibility of rotation within the loop of cases 1–3), then the parent of the node N - * becomes red after the rotation and we will exit the loop. Therefore, at most one - * rotation will occur within this loop. Since no more than two additional rotations will occur after - * exiting the loop, at most three rotations occur in total.

- * - * @param val An element to erase. + * @inheritdoc */ - XTree.prototype.erase = function (val) { - var node = this.find(val); - if (node == null || this.is_equal_to(val, node.value) == false) - return; - if (node.left != null && node.right != null) { - var pred = this.fetch_maximum(node.left); - node.value = pred.value; - node = pred; - } - var child = (node.right == null) ? node.left : node.right; - if (this.fetch_color(node) == base.Color.BLACK) { - node.color = this.fetch_color(child); - this.erase_case1(node); - } - this.replace_node(node, child); + SetContainer.prototype.assign = function (begin, end) { + // INSERT + this.clear(); + this.insert(begin, end); }; /** - *

N is the new root.

- * - *

In this case, we are done. We removed one black node from every path, - * and the new root is black, so the properties are preserved.

- * - *

Note

- *

In cases 2, 5, and 6, we assume N is the left child of its parent - * {@link XTreeNode.parent P}. If it is the right child, left and right should be reversed throughout - * these three cases. Again, the code examples take both cases into account.

- * - * @param N A node to be erased or swapped. + * @inheritdoc */ - XTree.prototype.erase_case1 = function (N) { - if (N.parent == null) - return; - else - this.erase_case2(N); + SetContainer.prototype.clear = function () { + // TO BE ABSTRACT + this.data_.clear(); }; /** - *

{@link XTreeNode.sibling S} is red.

- * - *

- * - *

In this case we reverse the colors of {@link XTreeNode.parent P} and - * {@link XTreeNode.sibling S}, and then rotate left at {@link XTreeNode.parent P}, turning - * {@link XTreeNode.sibling S} into N's grandparent.

- * - *

Note that {@link XTreeNode.parent P} has to be black as it had a - * red child. The resulting subtree has a path short one - * black node so we are not done. Now N has a - * black sibling and a red parent, so we can proceed - * to step 4, 5, or 6. (Its new sibling is black because it was once the child - * of the red {@link XTreeNode.sibling S}.) In later cases, we will re-label - * N's new sibling as {@link XTreeNode.sibling S}.

- * - * @param N A node to be erased or swapped. + * @inheritdoc + */ + SetContainer.prototype.begin = function () { + return new std.SetIterator(this, this.data_.begin()); + }; + /** + * @inheritdoc + */ + SetContainer.prototype.end = function () { + return new std.SetIterator(this, this.data_.end()); + }; + /** + * @inheritdoc + */ + SetContainer.prototype.rbegin = function () { + return new std.SetReverseIterator(this.end()); + }; + /** + * @inheritdoc */ - XTree.prototype.erase_case2 = function (N) { - if (this.fetch_color(N.sibling) == base.Color.RED) { - N.parent.color = base.Color.RED; - N.sibling.color = base.Color.BLACK; - if (N == N.parent.left) - this.rotate_left(N.parent); - else - this.rotate_right(N.parent); - } - this.erase_case3(N); + SetContainer.prototype.rend = function () { + return new std.SetReverseIterator(this.begin()); }; + /* --------------------------------------------------------- + ELEMENTS + --------------------------------------------------------- */ /** - *

{@link XTreeNode.parent P}, {@link XTreeNode.sibling S}, and {@link XTreeNode.sibling - * S}'s children are black.

- * - *

- * - *

In this case, we simply repaint {@link XTreeNode.sibling S} red. The - * result is that all paths passing through {@link XTreeNode.sibling S}, which are precisely those - * paths not passing through N, have one less black node. - * Because deleting N's original parent made all paths passing through N have - * one less black node, this evens things up.

+ *

Whether have the item or not.

* - *

However, all paths through {@link XTreeNode.parent P} now have one fewer - * black node than paths that do not pass through - * {@link XTreeNode.parent P}, so property 5 (all paths from any given node to its leaf nodes contain - * the same number of black nodes) is still violated.

+ *

Indicates whether a set has an item having the specified identifier.

* - *

To correct this, we perform the rebalancing procedure on {@link XTreeNode.parent P}, starting - * at case 1.

+ * @param key Key value of the element whose mapped value is accessed. * - * @param N A node to be erased or swapped. + * @return Whether the set has an item having the specified identifier. */ - XTree.prototype.erase_case3 = function (N) { - if (this.fetch_color(N.parent) == base.Color.BLACK && - this.fetch_color(N.sibling) == base.Color.BLACK && - this.fetch_color(N.sibling.left) == base.Color.BLACK && - this.fetch_color(N.sibling.right) == base.Color.BLACK) { - N.sibling.color = base.Color.RED; - this.erase_case1(N.parent); - } - else - this.erase_case4(N); + SetContainer.prototype.has = function (val) { + return !this.find(val).equal_to(this.end()); }; /** - *

{@link XTreeNode.sibling S} and {@link XTreeNode.sibling S}'s children are - * black, but {@link XTreeNode.parent P} is red.

- * - *

- * - *

In this case, we simply exchange the colors of {@link XTreeNode.sibling S} and - * {@link XTreeNode.parent P}. This does not affect the number of black - * nodes on paths going through {@link XTreeNode.sibling S}, but it does add one to the number of - * black nodes on paths going through N, making up for the - * deleted black node on those paths.

- * - * @param N A node to be erased or swapped. + * @inheritdoc */ - XTree.prototype.erase_case4 = function (N) { - if (this.fetch_color(N.parent) == base.Color.RED && - N.sibling != null && - this.fetch_color(N.sibling) == base.Color.BLACK && - this.fetch_color(N.sibling.left) == base.Color.BLACK && - this.fetch_color(N.sibling.right) == base.Color.BLACK) { - N.sibling.color = base.Color.RED; - N.parent.color = base.Color.BLACK; - } - else - this.erase_case5(N); + SetContainer.prototype.size = function () { + return this.data_.size(); }; + /* ========================================================= + ELEMENTS I/O + - INSERT + - ERASE + - POST-PROCESS + ============================================================ + INSERT + --------------------------------------------------------- */ /** - *

{@link XTreeNode.sibling S} is black, {@link XTreeNode.sibling S}'s - * left child is red, {@link XTreeNode.sibling S}'s right child is - * black, and N is the left child of its parent.

- * - *

- * - *

In this case we rotate right at {@link XTreeNode.sibling S}, so that - * {@link XTreeNode.sibling S}'s left child becomes {@link XTreeNode.sibling S}'s parent and - * N's new sibling. We then exchange the colors of {@link XTreeNode.sibling S} and its - * new parent.

- * - *

All paths still have the same number of black nodes, but now - * N has a black sibling whose right child is - * red, so we fall into case 6. Neither N nor its parent are affected - * by this transformation. (Again, for case 6, we relabel N's new sibling as - * {@link XTreeNode.sibling S}.)

- * - * @param N A node to be erased or swapped. + * @inheritdoc */ - XTree.prototype.erase_case5 = function (N) { - if (N == N.parent.left && - N.sibling != null && - this.fetch_color(N.sibling) == base.Color.BLACK && - this.fetch_color(N.sibling.left) == base.Color.RED && - this.fetch_color(N.sibling.right) == base.Color.BLACK) { - N.sibling.color = base.Color.RED; - N.sibling.left.color = base.Color.BLACK; - this.rotate_right(N.sibling); + SetContainer.prototype.push = function () { + var args = []; + for (var _i = 0; _i < arguments.length; _i++) { + args[_i - 0] = arguments[_i]; } - else if (N == N.parent.right && - N.sibling != null && - this.fetch_color(N.sibling) == base.Color.BLACK && - this.fetch_color(N.sibling.left) == base.Color.BLACK && - this.fetch_color(N.sibling.right) == base.Color.RED) { - N.sibling.color = base.Color.RED; - N.sibling.right.color = base.Color.BLACK; - this.rotate_left(N.sibling); + // TO BE ABSTRACT + for (var i = 0; i < args.length; i++) + this.insert_by_val(args[i]); + return this.size(); + }; + SetContainer.prototype.insert = function () { + var args = []; + for (var _i = 0; _i < arguments.length; _i++) { + args[_i - 0] = arguments[_i]; + } + if (args.length == 1) + return this.insert_by_val(args[0]); + else if (args.length == 2 && args[0] instanceof std.Iterator) { + if (args[1] instanceof std.Iterator && args[0].get_source() != this && args[1].get_source() != this) { + // IT DOESN'T CONTAIN POSITION + // RANGES TO INSERT ONLY + return this.insert_by_range(args[0], args[1]); + } + else { + var ret = void 0; + var is_reverse_iterator = false; + // REVERSE_ITERATOR TO ITERATOR + if (args[0] instanceof std.SetReverseIterator) { + is_reverse_iterator = true; + args[0] = args[0].base().prev(); + } + // INSERT AN ELEMENT + ret = this.insert_by_hint(args[0], args[1]); + // RETURN BRANCHES + if (is_reverse_iterator == true) + return new std.SetReverseIterator(ret.next()); + else + return ret; + } } }; + SetContainer.prototype.erase = function () { + var args = []; + for (var _i = 0; _i < arguments.length; _i++) { + args[_i - 0] = arguments[_i]; + } + if (args.length == 1 && (args[0] instanceof std.Iterator == false || args[0].get_source() != this)) + return this.erase_by_val(args[0]); + else if (args.length == 1) + return this.erase_by_iterator(args[0]); + else + return this.erase_by_iterator(args[0], args[1]); + }; /** - *

{@link XTreeNode.sibling S} is black, - * {@link XTreeNode.sibling S}'s right child is red, and N is - * the left child of its parent {@link XTreeNode.parent P}.

- * - *

In this case we rotate left at {@link XTreeNode.parent P}, so that - * {@link XTreeNode.sibling S} becomes the parent of {@link XTreeNode.parent P} and - * {@link XTreeNode.sibling S}'s right child. We then exchange the colors of - * {@link XTreeNode.parent P} and {@link XTreeNode.sibling S}, and make - * {@link XTreeNode.sibling S}'s right child black.

- * - *

The subtree still has the same color at its root, so Properties 4 (Both children of every - * red node are black) and 5 (All paths from any - * given node to its leaf nodes contain the same number of black nodes) are - * not violated. However, N now has one additional black - * ancestor: either {@link XTreeNode.parent P} has become black, or it - * was black and {@link XTreeNode.sibling S} was added as a - * black grandparent.

- * - *

Thus, the paths passing through N pass through one additional - * black node.

- * - *

- * - *

Meanwhile, if a path does not go through N, then there are two possibilities:

- *
    - *
  1. - * It goes through N's new sibling SL, a node with arbitrary color and the root of - * the subtree labeled 3 (s. diagram). Then, it must go through {@link XTreeNode.sibling S} and - * {@link XTreeNode.parent P}, both formerly and currently, as they have only exchanged colors - * and places. Thus the path contains the same number of black nodes. - *
    2. - *
  2. - * It goes through N's new uncle, {@link XTreeNode.sibling S}'s right child. Then, - * it formerly went through {@link XTreeNode.sibling S}, {@link XTreeNode.sibling S}'s - * parent, and {@link XTreeNode.sibling S}'s right child SR (which was - * red), but now only goes through {@link XTreeNode.sibling S}, which - * has assumed the color of its former parent, and {@link XTreeNode.sibling S}'s right child, - * which has changed from red to black (assuming - * {@link XTreeNode.sibling S}'s color: black). The net effect is - * that this path goes through the same number of black nodes. - *
    3. - *
- * - *

Either way, the number of black nodes on these paths does not change. - * Thus, we have restored Properties 4 (Both children of every red node are - * black) and 5 (All paths from any given node to its leaf nodes contain the - * same number of black nodes). The white node in the diagram can be either - * red or black, but must refer to the same color - * both before and after the transformation.

- * - * @param N A node to be erased or swapped. + * @hidden */ - XTree.prototype.erase_case6 = function (node) { - node.sibling.color = this.fetch_color(node.parent); - node.parent.color = base.Color.BLACK; - if (node == node.parent.left) { - node.sibling.right.color = base.Color.BLACK; - this.rotate_left(node.parent); - } - else { - node.sibling.left.color = base.Color.BLACK; - this.rotate_right(node.parent); + SetContainer.prototype.erase_by_iterator = function (first, last) { + if (last === void 0) { last = first.next(); } + var ret; + var is_reverse_iterator = false; + // REVERSE ITERATOR TO ITERATOR + if (first instanceof std.SetReverseIterator) { + is_reverse_iterator = true; + var first_it = last.base(); + var last_it = first.base(); + first = first_it; + last = last_it; } - }; - /* --------------------------------------------------------- - ROTATION - --------------------------------------------------------- */ + // ERASE ELEMENTS + ret = this.erase_by_range(first, last); + // RETURN BRANCHES + if (is_reverse_iterator == true) + return new std.SetReverseIterator(ret.next()); + else + return ret; + }; /** - * Rotate a node left. - * - * @param node Node to rotate left. + * @hidden */ - XTree.prototype.rotate_left = function (node) { - var right = node.right; - this.replace_node(node, right); - node.right = right.left; - if (right.left != null) - right.left.parent = node; - right.left = node; - node.parent = right; + SetContainer.prototype.erase_by_val = function (val) { + // TEST WHETHER EXISTS + var it = this.find(val); + if (it.equal_to(this.end()) == true) + return 0; + // ERASE + this.erase_by_iterator(it); + return 1; }; /** - * Rotate a node to right. - * - * @param node A node to rotate right. + * @hidden */ - XTree.prototype.rotate_right = function (node) { - var left = node.left; - this.replace_node(node, left); - node.left = left.right; - if (left.right != null) - left.right.parent = node; - left.right = node; - node.parent = left; + SetContainer.prototype.erase_by_range = function (begin, end) { + // ERASE + var list_iterator = this.data_.erase(begin.get_list_iterator(), end.get_list_iterator()); + // POST-PROCESS + this.handle_erase(begin, end); + return new std.SetIterator(this, list_iterator); //begin.prev(); }; + return SetContainer; + }(base.Container)); + base.SetContainer = SetContainer; + })(base = std.base || (std.base = {})); +})(std || (std = {})); +var std; +(function (std) { + /** + *

An iterator of a Set.

+ * + *

+ *

+ * + * @author Jeongho Nam + */ + var SetIterator = (function (_super) { + __extends(SetIterator, _super); + /** + *

Construct from source and index number.

+ * + *

Note

+ *

Do not create iterator directly.

+ *

Use begin(), find() or end() in Map instead.

+ * + * @param map The source Set to reference. + * @param index Sequence number of the element in the source Set. + */ + function SetIterator(source, it) { + _super.call(this, source); + this.list_iterator_ = it; + } + /* --------------------------------------------------------- + MOVERS + --------------------------------------------------------- */ + /** + * @inheritdoc + */ + SetIterator.prototype.prev = function () { + return new SetIterator(this.set, this.list_iterator_.prev()); + }; + /** + * @inheritdoc + */ + SetIterator.prototype.next = function () { + return new SetIterator(this.set, this.list_iterator_.next()); + }; + /** + * @inheritdoc + */ + SetIterator.prototype.advance = function (size) { + return new SetIterator(this.set, this.list_iterator_.advance(size)); + }; + Object.defineProperty(SetIterator.prototype, "set", { + /* --------------------------------------------------------- + ACCESSORS + --------------------------------------------------------- */ /** - * Replace a node. - * - * @param oldNode Ordinary node to be replaced. - * @param newNode Target node to replace. + * @hidden */ - XTree.prototype.replace_node = function (oldNode, newNode) { - if (oldNode.parent == null) - this.root_ = newNode; - else { - if (oldNode == oldNode.parent.left) - oldNode.parent.left = newNode; - else - oldNode.parent.right = newNode; + get: function () { + return this.source_; + }, + enumerable: true, + configurable: true + }); + SetIterator.prototype.get_list_iterator = function () { + return this.list_iterator_; + }; + Object.defineProperty(SetIterator.prototype, "value", { + /** + * @inheritdoc + */ + get: function () { + return this.list_iterator_.value; + }, + enumerable: true, + configurable: true + }); + /* --------------------------------------------------------- + COMPARISONS + --------------------------------------------------------- */ + /** + * @inheritdoc + */ + SetIterator.prototype.equal_to = function (obj) { + return _super.prototype.equal_to.call(this, obj) && this.list_iterator_ == obj.list_iterator_; + }; + /** + * @inheritdoc + */ + SetIterator.prototype.less = function (obj) { + return std.less(this.value, obj.value); + }; + /** + * @inheritdoc + */ + SetIterator.prototype.hash = function () { + return std.hash(this.value); + }; + /** + * @inheritdoc + */ + SetIterator.prototype.swap = function (obj) { + this.list_iterator_.swap(obj.list_iterator_); + }; + return SetIterator; + }(std.Iterator)); + std.SetIterator = SetIterator; + /** + *

A reverse-iterator of Set.

+ * + *

+ *

+ * + * @param Type of the elements. + * + * @author Jeongho Nam + */ + var SetReverseIterator = (function (_super) { + __extends(SetReverseIterator, _super); + /* --------------------------------------------------------- + CONSTRUCTORS + --------------------------------------------------------- */ + /** + * Construct from base iterator. + * + * @param base A reference of the base iterator, which iterates in the opposite direction. + */ + function SetReverseIterator(base) { + _super.call(this, base); + } + /** + * @hidden + */ + SetReverseIterator.prototype.create_neighbor = function () { + return new SetReverseIterator(null); + }; + return SetReverseIterator; + }(std.ReverseIterator)); + std.SetReverseIterator = SetReverseIterator; +})(std || (std = {})); +/// +/// +var std; +(function (std) { + var base; + (function (base) { + /** + *

An abstract set.

+ * + *

{@link SetContainer SetContainers} are containers that store elements allowing fast retrieval of + * individual elements based on their value.

+ * + *

In an {@link SetContainer}, the value of an element is at the same time its key, used to + * identify it. Keys are immutable, therefore, the elements in an {@link SetContainer} cannot be + * modified once in the container - they can be inserted and removed, though.

+ * + *

{@link SetContainer} stores elements, keeps sequence and enables indexing by inserting elements into a + * {@link List} and registering {@link ListIterator iterators} of the {@link data_ list container} to an index + * table like {@link RBTree tree} or {@link HashBuckets hash-table}.

+ * + *

+ *

+ * + *

Container properties

+ *
+ *
Associative
+ *
+ * Elements in associative containers are referenced by their key and not by their absolute + * position in the container. + *
+ * + *
Set
+ *
The value of an element is also the key used to identify it.
+ * + *
Multiple equivalent keys
+ *
Multiple elements in the container can have equivalent keys.
+ *
+ * + * @param Type of the elements. Each element in a {@link SetContainer} container is also identified + * by this value (each value is itself also the element's key). + * + * @author Jeongho Nam + */ + var MultiSet = (function (_super) { + __extends(MultiSet, _super); + function MultiSet() { + _super.apply(this, arguments); + } + MultiSet.prototype.insert = function () { + var args = []; + for (var _i = 0; _i < arguments.length; _i++) { + args[_i - 0] = arguments[_i]; } - if (newNode != null) - newNode.parent = oldNode.parent; + return _super.prototype.insert.apply(this, args); }; /* --------------------------------------------------------- - COLOR + UTILITIES --------------------------------------------------------- */ /** - * Fetch color from a node. - * - * @param node A node to fetch color. - * @retur color. + * @inheritdoc */ - XTree.prototype.fetch_color = function (node) { - if (node == null) - return base.Color.BLACK; - else - return node.color; + MultiSet.prototype.swap = function (obj) { + var vec = new std.Vector(this.begin(), this.end()); + this.assign(obj.begin(), obj.end()); + obj.assign(vec.begin(), vec.end()); }; - return XTree; - }()); - base.XTree = XTree; + return MultiSet; + }(base.SetContainer)); + base.MultiSet = MultiSet; })(base = std.base || (std.base = {})); })(std || (std = {})); /// @@ -4687,219 +4903,37 @@ var std; })(base = std.base || (std.base = {})); })(std || (std = {})); /// -/// +/// var std; (function (std) { var base; (function (base) { /** - *

A red-black Tree storing {@link SetIterator SetIterators}.

+ *

Hash buckets storing {@link SetIterator SetIterators}.

* - *

- *

+ *

+ * + *

* * @author Jeongho Nam */ - var AtomicTree = (function (_super) { - __extends(AtomicTree, _super); - /* --------------------------------------------------------- - CONSTRUCTOR - --------------------------------------------------------- */ - /** - * Default Constructor. - */ - function AtomicTree(set, compare) { - if (compare === void 0) { compare = std.less; } + var SetHashBuckets = (function (_super) { + __extends(SetHashBuckets, _super); + function SetHashBuckets(set) { _super.call(this); - this.set_ = set; - this.compare_ = compare; + this.set = set; } - AtomicTree.prototype.find = function (val) { - if (val instanceof std.SetIterator && val.value instanceof std.SetIterator == false) - return _super.prototype.find.call(this, val); - else - return this.find_by_val(val); - }; - /** - * @hidden - */ - AtomicTree.prototype.find_by_val = function (val) { - if (this.root_ == null) - return null; - var node = this.root_; - while (true) { - var newNode = null; - if (std.equal_to(val, node.value.value)) - break; // EQUALS, MEANS MATCHED, THEN TERMINATE - else if (this.compare_(val, node.value.value)) - newNode = node.left; // LESS, THEN TO THE LEFT - else - newNode = node.right; // GREATER, THEN TO THE RIGHT - // ULTIL CHILD NODE EXISTS - if (newNode == null) - break; - // SHIFT A NEW NODE TO THE NODE TO BE RETURNED - node = newNode; - } - return node; - }; - /* --------------------------------------------------------- - BOUNDS - --------------------------------------------------------- */ - /** - *

Return iterator to lower bound.

- * - *

Returns an iterator pointing to the first element in the container which is not considered to - * go before val (i.e., either it is equivalent or goes after).

- * - *

The function uses its internal comparison object (key_comp) to determine this, returning an - * iterator to the first element for which key_comp(element,val) would return false.

- * - *

If the {@link ITreeSet} class is instantiated with the default comparison type ({@link less}), - * the function returns an iterator to the first element that is not less than val.

- - *

A similar member function, {@link upper_bound}, has the same behavior as {@link lower_bound}, except - * in the case that the {@link ITreeSet} contains elements equivalent to val: In this case - * {@link lower_bound} returns an iterator pointing to the first of such elements, whereas - * {@link upper_bound} returns an iterator pointing to the element following the last.

- * - * @param val Value to compare. - * - * @return An iterator to the the first element in the container which is not considered to go before - * val, or {@link ITreeSet.end} if all elements are considered to go before val. - */ - AtomicTree.prototype.lower_bound = function (val) { - var node = this.find(val); - if (node == null) - return this.set_.end(); - else if (std.equal_to(node.value.value, val)) - return node.value; - else { - var it = node.value; - while (!std.equal_to(it, this.set_.end()) && std.less(it.value, val)) - it = it.next(); - return it; - } - }; - /** - *

Return iterator to upper bound.

- * - *

Returns an iterator pointing to the first element in the container which is considered to go after - * val.

- - *

The function uses its internal comparison object (key_comp) to determine this, returning an - * iterator to the first element for which key_comp(val,element) would return true.

- - *

If the {@code ITreeSet} class is instantiated with the default comparison type (less), the - * function returns an iterator to the first element that is greater than val.

- * - *

A similar member function, {@link lower_bound}, has the same behavior as {@link upper_bound}, except - * in the case that the {@ITreeSet} contains elements equivalent to val: In this case - * {@link lower_bound} returns an iterator pointing to the first of such elements, whereas - * {@link upper_bound} returns an iterator pointing to the element following the last.

- * - * @param val Value to compare. - * - * @return An iterator to the the first element in the container which is considered to go after - * val, or {@link TreeSet.end end} if no elements are considered to go after val. - */ - AtomicTree.prototype.upper_bound = function (val) { - var node = this.find(val); - if (node == null) - return this.set_.end(); - else { - var it = node.value; - while (!std.equal_to(it, this.set_.end()) && (std.equal_to(it.value, val) || std.less(it.value, val))) - it = it.next(); - return it; - } - }; - /** - *

Get range of equal elements.

- * - *

Returns the bounds of a range that includes all the elements in the container that are equivalent - * to val.

- * - *

If no matches are found, the range returned has a length of zero, with both iterators pointing to - * the first element that is considered to go after val according to the container's - * internal comparison object (key_comp).

- * - *

Two elements of a multiset are considered equivalent if the container's comparison object returns - * false reflexively (i.e., no matter the order in which the elements are passed as arguments).

- * - * @param key Value to search for. - * - * @return The function returns a {@link Pair}, whose member {@link Pair.first} is the lower bound of - * the range (the same as {@link lower_bound}), and {@link Pair.second} is the upper bound - * (the same as {@link upper_bound}). - */ - AtomicTree.prototype.equal_range = function (val) { - return std.make_pair(this.lower_bound(val), this.upper_bound(val)); - }; - /* --------------------------------------------------------- - COMPARISON - --------------------------------------------------------- */ - /** - *

Return comparison function.

- * - *

Returns a copy of the comparison function used by the container.

- * - *

By default, this is a {@link less} object, which returns the same as operator<.

- * - *

This object determines the order of the elements in the container: it is a function pointer or a function - * object that takes two arguments of the same type as the container elements, and returns true if - * the first argument is considered to go before the second in the strict weak ordering it - * defines, and false otherwise.

- * - *

Two elements of a {@link ITreeSet} are considered equivalent if {@link key_comp} returns false - * reflexively (i.e., no matter the order in which the elements are passed as arguments).

- * - *

In {@link ITreeSet} containers, the keys to sort the elements are the values (T) themselves, - * therefore {@link key_comp} and its sibling member function {@link value_comp} are equivalent.

- * - * @return The comparison function. - */ - AtomicTree.prototype.key_comp = function () { - return this.compare_; - }; - /** - *

Return comparison function.

- * - *

Returns a copy of the comparison function used by the container.

- * - *

By default, this is a {@link less} object, which returns the same as operator<.

- * - *

This object determines the order of the elements in the container: it is a function pointer or a function - * object that takes two arguments of the same type as the container elements, and returns true if - * the first argument is considered to go before the second in the strict weak ordering it - * defines, and false otherwise.

- * - *

Two elements of a {@link ITreeSet} are considered equivalent if {@link key_comp} returns false - * reflexively (i.e., no matter the order in which the elements are passed as arguments).

- * - *

In {@link ITreeSet} containers, the keys to sort the elements are the values (T) themselves, - * therefore {@link key_comp} and its sibling member function {@link value_comp} are equivalent.

- * - * @return The comparison function. - */ - AtomicTree.prototype.value_comp = function () { - return this.compare_; - }; - /** - * @inheritdoc - */ - AtomicTree.prototype.is_equal_to = function (left, right) { - return std.equal_to(left, right); - }; - /** - * @inheritdoc - */ - AtomicTree.prototype.is_less = function (left, right) { - return this.compare_(left.value, right.value); + SetHashBuckets.prototype.find = function (val) { + var index = std.hash(val) % this.size(); + var bucket = this.at(index); + for (var i = 0; i < bucket.size(); i++) + if (std.equal_to(bucket.at(i).value, val)) + return bucket.at(i); + return this.set.end(); }; - return AtomicTree; - }(base.XTree)); - base.AtomicTree = AtomicTree; + return SetHashBuckets; + }(base.HashBuckets)); + base.SetHashBuckets = SetHashBuckets; })(base = std.base || (std.base = {})); })(std || (std = {})); /// @@ -5886,6 +5920,11 @@ var std; get: function () { return this.deque.at(this.index_); }, + /** + * Set value of the iterator is pointing to. + * + * @param val Value to set. + */ set: function (val) { this.deque.set(this.index_, val); }, @@ -5985,11 +6024,16 @@ var std; /* --------------------------------------------------------- CONSTRUCTORS --------------------------------------------------------- */ + /** + * Construct from base iterator. + * + * @param base A reference of the base iterator, which iterates in the opposite direction. + */ function DequeReverseIterator(base) { _super.call(this, base); } /** - * @inheritdoc + * @hidden */ DequeReverseIterator.prototype.create_neighbor = function () { return new DequeReverseIterator(null); @@ -5999,7 +6043,9 @@ var std; ACCESSORS --------------------------------------------------------- */ /** - * Set value. + * Set value of the iterator is pointing to. + * + * @param val Value to set. */ set: function (val) { this.base_.value = val; @@ -6708,6 +6754,11 @@ var std; get: function () { return this.value_; }, + /** + * Set value of the iterator is pointing to. + * + * @param val Value to set. + */ set: function (val) { this.value_ = val; }, @@ -6764,11 +6815,16 @@ var std; /* --------------------------------------------------------------- CONSTRUCTORS --------------------------------------------------------------- */ + /** + * Construct from base iterator. + * + * @param base A reference of the base iterator, which iterates in the opposite direction. + */ function ListReverseIterator(base) { _super.call(this, base); } /** - * @inheritdoc + * @hidden */ ListReverseIterator.prototype.create_neighbor = function () { return new ListReverseIterator(null); @@ -6778,7 +6834,9 @@ var std; ACCESSORS --------------------------------------------------------- */ /** - * @inheritdoc + * Set value of the iterator is pointing to. + * + * @param val Value to set. */ set: function (val) { this.base_.value = val; @@ -9242,7 +9300,9 @@ var std; return this.vector.at(this.index_); }, /** - * Set value. + * Set value of the iterator is pointing to. + * + * @param val Value to set. */ set: function (val) { this.vector.set(this.index_, val); @@ -9343,11 +9403,16 @@ var std; /* --------------------------------------------------------- CONSTRUCTORS --------------------------------------------------------- */ + /** + * Construct from base iterator. + * + * @param base A reference of the base iterator, which iterates in the opposite direction. + */ function VectorReverseIterator(base) { _super.call(this, base); } /** - * @inheritdoc + * @hidden */ VectorReverseIterator.prototype.create_neighbor = function () { return new VectorReverseIterator(null); @@ -9357,7 +9422,9 @@ var std; ACCESSORS --------------------------------------------------------- */ /** - * Set value. + * Set value of the iterator is pointing to. + * + * @param val Value to set. */ set: function (val) { this.base_.value = val; diff --git a/ts/include/typescript-stl.js.map b/ts/include/typescript-stl.js.map index e210ea99..32a7c31b 100644 --- a/ts/include/typescript-stl.js.map +++ b/ts/include/typescript-stl.js.map @@ -1 +1 @@ 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\ No newline at end of file diff --git a/ts/src/std/Deque.ts b/ts/src/std/Deque.ts index 8dde6134..c89d2175 100644 --- a/ts/src/std/Deque.ts +++ b/ts/src/std/Deque.ts @@ -901,6 +901,11 @@ namespace std return this.deque.at(this.index_); } + /** + * Set value of the iterator is pointing to. + * + * @param val Value to set. + */ public set value(val: T) { this.deque.set(this.index_, val); @@ -1007,13 +1012,18 @@ namespace std /* --------------------------------------------------------- CONSTRUCTORS --------------------------------------------------------- */ + /** + * Construct from base iterator. + * + * @param base A reference of the base iterator, which iterates in the opposite direction. + */ public constructor(base: DequeIterator) { super(base); } /** - * @inheritdoc + * @hidden */ protected create_neighbor(): DequeReverseIterator { @@ -1024,7 +1034,9 @@ namespace std ACCESSORS --------------------------------------------------------- */ /** - * Set value. + * Set value of the iterator is pointing to. + * + * @param val Value to set. */ public set value(val: T) { diff --git a/ts/src/std/Iterator.ts b/ts/src/std/Iterator.ts index 8196970f..94d3015a 100644 --- a/ts/src/std/Iterator.ts +++ b/ts/src/std/Iterator.ts @@ -172,11 +172,19 @@ namespace std export abstract class ReverseIterator, This extends ReverseIterator> extends Iterator { + /** + * @hidden + */ protected base_: Base; /* --------------------------------------------------------- CONSTRUCTORS --------------------------------------------------------- */ + /** + * Construct from base iterator. + * + * @param base A reference of the base iterator, which iterates in the opposite direction. + */ public constructor(base: Base) { if (base == null) @@ -188,16 +196,36 @@ namespace std } } + /** + *

Return base iterator.

+ * + *

Return a reference of the base iteraotr.

+ * + *

The base iterator is an iterator of the same type as the one used to construct the {@link ReverseIterator}, + * but pointing to the element next to the one the {@link ReverseIterator} is currently pointing to + * (a {@link ReverseIterator} has always an offset of -1 with respect to its base iterator). + * + * @return A reference of the base iterator, which iterates in the opposite direction. + */ public base(): Base { return this.base_.next() as Base; } + // CREATE A NEW OBJECT WITH SAME (DERIVED) TYPE + /** + * @hidden + */ protected abstract create_neighbor(): This; /* --------------------------------------------------------- ACCESSORS --------------------------------------------------------- */ + /** + *

Get value of the iterator is pointing.

+ * + * @return A value of the reverse iterator. + */ public get value(): T { return this.base_.value; diff --git a/ts/src/std/List.ts b/ts/src/std/List.ts index f94947ef..3b81e261 100644 --- a/ts/src/std/List.ts +++ b/ts/src/std/List.ts @@ -1210,6 +1210,11 @@ namespace std return this.value_; } + /** + * Set value of the iterator is pointing to. + * + * @param val Value to set. + */ public set value(val: T) { this.value_ = val; @@ -1271,13 +1276,18 @@ namespace std /* --------------------------------------------------------------- CONSTRUCTORS --------------------------------------------------------------- */ + /** + * Construct from base iterator. + * + * @param base A reference of the base iterator, which iterates in the opposite direction. + */ public constructor(base: ListIterator) { super(base); } /** - * @inheritdoc + * @hidden */ protected create_neighbor(): ListReverseIterator { @@ -1288,7 +1298,9 @@ namespace std ACCESSORS --------------------------------------------------------- */ /** - * @inheritdoc + * Set value of the iterator is pointing to. + * + * @param val Value to set. */ public set value(val: T) { diff --git a/ts/src/std/Vector.ts b/ts/src/std/Vector.ts index 520771ea..4864a45a 100644 --- a/ts/src/std/Vector.ts +++ b/ts/src/std/Vector.ts @@ -799,7 +799,9 @@ namespace std } /** - * Set value. + * Set value of the iterator is pointing to. + * + * @param val Value to set. */ public set value(val: T) { @@ -907,13 +909,18 @@ namespace std /* --------------------------------------------------------- CONSTRUCTORS --------------------------------------------------------- */ + /** + * Construct from base iterator. + * + * @param base A reference of the base iterator, which iterates in the opposite direction. + */ public constructor(base: VectorIterator) { super(base); } /** - * @inheritdoc + * @hidden */ protected create_neighbor(): VectorReverseIterator { @@ -924,7 +931,9 @@ namespace std ACCESSORS --------------------------------------------------------- */ /** - * Set value. + * Set value of the iterator is pointing to. + * + * @param val Value to set. */ public set value(val: T) { diff --git a/ts/src/std/base/MapContainer.ts b/ts/src/std/base/MapContainer.ts index 4e0eb71d..e0440e58 100644 --- a/ts/src/std/base/MapContainer.ts +++ b/ts/src/std/base/MapContainer.ts @@ -840,11 +840,19 @@ namespace std /* --------------------------------------------------------- CONSTRUCTORS --------------------------------------------------------- */ + /** + * Construct from base iterator. + * + * @param base A reference of the base iterator, which iterates in the opposite direction. + */ public constructor(base: MapIterator) { super(base); } + /** + * @hidden + */ protected create_neighbor(): MapReverseIterator { return new MapReverseIterator(null); diff --git a/ts/src/std/base/SetContainer.ts b/ts/src/std/base/SetContainer.ts index 53f930ab..b322a41f 100644 --- a/ts/src/std/base/SetContainer.ts +++ b/ts/src/std/base/SetContainer.ts @@ -665,13 +665,18 @@ namespace std /* --------------------------------------------------------- CONSTRUCTORS --------------------------------------------------------- */ + /** + * Construct from base iterator. + * + * @param base A reference of the base iterator, which iterates in the opposite direction. + */ public constructor(base: SetIterator) { super(base); } /** - * @inheritdoc + * @hidden */ protected create_neighbor(): SetReverseIterator {