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occt/src/PCollection/PCollection_HAVLSearchTree.cdl
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-- Created on: 1991-05-21
-- Created by: Annick PANCHER
-- Copyright (c) 1991-1999 Matra Datavision
-- Copyright (c) 1999-2014 OPEN CASCADE SAS
--
-- This file is part of Open CASCADE Technology software library.
--
-- This library is free software; you can redistribute it and/or modify it under
-- the terms of the GNU Lesser General Public License version 2.1 as published
-- by the Free Software Foundation, with special exception defined in the file
-- OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
-- distribution for complete text of the license and disclaimer of any warranty.
--
-- Alternatively, this file may be used under the terms of Open CASCADE
-- commercial license or contractual agreement.
-- Revised: Mireille MERCIEN
generic class HAVLSearchTree from PCollection (
Item as Storable;
Comparator as Compare from PCollection(Item))
inherits Persistent
---Purpose: Defines a binary search tree, e.g. an ordered and
-- balanced binary tree. An AVLSearchTree is created with a
-- kind of Item and a Comparator. It's composed with Nodes.
-- One item is contained only by one Node, and a 'count' stores
-- the number of its occurences.
-- The only public operations on an AVLSearchTree,
-- except reading ( the number of its Nodes, its Root
-- or the Node containing an item) are to insert or
-- remove an item, plus, of course, to find an item.
--
-- Then, it's possible to ask to a Node its value,
-- the number of occurences of this value, and its
-- right and left children. Other methods of Node are
-- private and called by the private methods of
-- AVLSearchTree which manage the Find method, and
-- Insert and Remove operations, always ensuring
-- order and balance.
-- 1. ORDER :
-- If the tree contains three elements A,B,C, which
-- are ordered, regarding to a comparator Comp, as
-- following:
-- A < B < C
-- Then TheRoot of the tree will contain B, with A as
-- LeftChild and C as RightChild.
-- Each element on the left of a node A are 'lower'
-- than A in respect with the used comparator, and
-- each element on its right are greater.
--
-- 2. BALANCE : The height of two children of a Node
-- will never have a difference of more than one
-- level. An AVLSearch Tree is ALWAYS balanced.
-- Keywords: binary tree, ordered, balanced
-- Warning: To use an AVLSearchTree, since it's ordered and
-- balanced each time an item is inserted or removed,
-- may be a bad choice if there are more changing
-- operations than searching requests, for
-- performances criterias. It can be judicious to
-- use it when there are many items to consult
-- frequently.
-- References: Classix, Reusable C++ Components( Empathy
-- incorporated, 1990).
-- Algorithms are attributed to :
-- G.M.Adel'son-Vel'skii and E.M.Landis, 1962.
uses Side from PCollection
raises NoSuchObject from Standard,
NoMoreObject from Standard
class AVLNode inherits PManaged
uses Side from PCollection
is
---Purpose: Private class. This class provides tools to manipulate
-- an AVLSearchTree node.
Create( theItem: Item)
returns mutable AVLNode ;
RightChild( me) returns mutable AVLNode;
---Purpose: Reads the value of MyRightChild.
LeftChild( me) returns mutable AVLNode;
---Purpose: Reads the value of MyLeftChild.
Value( me) returns any Item;
---Purpose: Reads TheItem.
GetMultiplicity( me)
---Purpose: Returns number of occurences of Item contained
-- by <me>.
returns Integer from Standard;
SetRightChild( me:mutable; theNode: AVLNode);
---Purpose: Modifies the value of MyRightChild.
SetLeftChild( me:mutable; theNode: AVLNode);
---Purpose: Modifies the value of MyLeftChild.
SetChild ( me: mutable; theNode: AVLNode;
theSide: Side from PCollection);
---Purpose: Modifies the value of right or left child.
SetValue( me:mutable; theValue: Item);
---Purpose: Modifies the value of TheItem.
SetMultiplicity( me:mutable; theCount: Integer from Standard);
---Purpose: Modifies the value of Count.
Copy(me)
returns mutable AVLNode
is private;
-- REDEFINED
ShallowCopy(me) returns mutable like me
is redefined;
---Purpose: ShallowCopy redefinition.
---C++: function call
ShallowDump (me; s: in out OStream)
is redefined;
---Purpose: ShallowDump redefinition.
---C++: function call
fields
MyRightChild: AVLNode;
MyLeftChild : AVLNode;
MyItem : Item;
Count : Integer from Standard;
friends class HAVLSearchTree from PCollection
end;
class AVLNodeStack instantiates HStack(AVLNode);
class AVLIterator
raises NoMoreObject from Standard, NoSuchObject from Standard
is
---Purpose: This class provides to iterate on an AVLSearchTree.
-- The type of traversal is the in-order traversal.
-- Example : If the AVLTree is the following:
-- 5
-- 2 7
-- 1 3 6 8
--
-- The result is:
-- 1 2 3 5 6 7 8
--
Create( aTree: HAVLSearchTree)
---Purpose: Creates an iterator on <aTree>.
---Level: Public
returns AVLIterator;
More( me)
---Purpose: Returns True if there is still an element to be read.
---Level: Public
returns Boolean from Standard;
Next( me: in out) raises NoMoreObject from Standard;
---Purpose: Goes to next element of <me>.
---Level: Public
Value( me)
returns mutable AVLNode
---Level: Public
raises NoSuchObject from Standard;
Clear (me: in out);
---Purpose: Empties my structure, so that if next call on <me>,
-- it will raise an exception NoMoreObject.
---Level: Public
Append (me: in out; ANode:AVLNode)
---Purpose: Adds Nodes to <CurrentStack> from <ANode>.
---Level: Internal
is private;
RecursiveAppend (me: in out; ANode:AVLNode)
---Purpose: Called by Append to add <ANode> to
-- <CurrentStack>, and goes down to left
---Level: Internal
is private;
RecursiveRemove (me: in out; ANode:AVLNode)
---Purpose: Called by Next to remove <ANode> and
-- the Node which is before in CurrentStack.
-- If <ANode> was its rightChild.
---Level: Internal
is private;
fields
CurrentNode : AVLNode;
CurrentStack : AVLNodeStack;
HasMore : Boolean;
end;
is
Create( aComparator: Comparator)
---Purpose: Creates an empty tree (root points to NULL).
returns mutable HAVLSearchTree;
IsEmpty( me)
---Level: Public
returns Boolean from Standard;
Extent( me)
---Purpose: Returns number of different items contained by <me>
---Level: Public
returns Integer from Standard;
TotalExtent( me)
---Purpose: Returns total number of items (considers account of each Node)
---Level: Public
returns Integer from Standard;
Find( me; theItem: Item)
---Purpose: Returns the Node containing <theItem>.
---Level: Public
returns AVLNode;
GetRoot( me)
returns AVLNode;
---Level: Public
Insert( me: mutable; theItem: Item);
---Purpose: Inserts <theItem> at the right place; if it's
-- already in <me>, only changes its <count>.
-- Level: Public
-- Example:
-- Before
-- me = ( i5( i3( i1)) -i7) and theItem = i2
-- After
-- me = ( i5( i2( i1 -i3)) -i7))
-- ( i means LeftChild, -i means RightChild)
InsertOnce(me: mutable; theItem: Item)
---Purpose: Inserts <theItem> at the right place, but only if
-- it isn't already in <me>; returns False if already there.
-- Level: Public
-- Example:
-- Before
-- me = ( i5( i3( i1)) -i7) and theItem = i3
-- After
-- me = ( i5( i3( i1)) -i7) and return False
returns Boolean from Standard;
Remove( me : mutable; theItem : Item)
---Purpose: Removes from <me> the Node containing <theItem>,
-- if its count=1, or reduces its count if count>1;
-- in this aim, calls the recursive method
-- RecursiveRemove, with <forAll>=False;
-- Level: Public
-- Example:
-- Before
-- me = ( i5( i3( i1)) -i7) and theItem = i7
-- After
-- me = ( i3( i1 -i5)) if count(i7)=1
-- Or
-- me = ( i5( i3( i1)) -i7) if count(i7)>1
raises NoSuchObject from Standard;
RemoveAll( me: mutable; theItem: Item)
---Purpose: Removes from <me> the Node containing <theItem>;
-- in this aim, calls the recursive method
-- RecursiveRemove, with <forAll>=True;
-- Level: Public
-- Example
-- Before
-- me = ( i5( i3( i1)) -i7) and theItem = i7
-- After
-- me = ( i3( i1 -i5))
raises NoSuchObject from Standard;
Merge (me; another:HAVLSearchTree)
---Purpose: Creates a third one from <me> and <another>.
---Level: Public
returns mutable HAVLSearchTree;
Copy(me)
returns mutable HAVLSearchTree
---Level: Internal
is private;
SetRoot( me: mutable; theNode: mutable AVLNode)
---Level: Internal
is private;
RotateLeft( me; theNode : in out mutable AVLNode)
---Purpose: right child A of <theNode> becomes the parent, and
-- <theNode> becomes its left child; left child of A
-- becomes the right child of <theNode>. This
-- rotation will permit to balance <me> after a
-- pertubating action ( insert or remove) on it.
---Level: Internal
is private;
RotateRight( me; theNode : in out mutable AVLNode)
---Purpose: left child A of <theNode> becomes the parent, and
-- <theNode> becomes its right child; right child of
-- A becomes the left child of <theNode>. This
-- rotation will permit to balance <me> after a
-- pertubating action ( insert or remove) on it.
---Level: Internal
is private;
LeftBalance( me; theNode : in out mutable AVLNode)
---Purpose: Called after inserting or removing an item, if the
-- left branch of <theNode> is too long
---Level: Internal
is private;
RightBalance( me; theNode : in out mutable AVLNode)
---Purpose: Called after inserting or removing an item, if the
-- right branch of <theNode> is too long.
---Level: Internal
is private;
InsertBalance( me; theNode : in out mutable AVLNode;
theFather: mutable AVLNode;
theSide : Side from PCollection)
---Purpose: Balances <me> after inserting an item.
returns Boolean from Standard
---Level: Internal
is private;
RemoveBalance( me; theNode : in out mutable AVLNode;
theFather: mutable AVLNode;
theSide : Side from PCollection)
---Purpose: Balances <me> after inserting an item.
---Level: Internal
returns Boolean from Standard
is private;
RecursiveInsert( me; theNode : in out mutable AVLNode;
theFather: mutable AVLNode;
theSide : Side from PCollection;
theItem : Item;
forOnce : in out Boolean from Standard)
---Purpose: Recursive method to insert a new Node OR to find
-- the existing one containing <theItem> and increase its count.
-- Returns True when a new Node has been created to
-- know it needs to be balanced, and then returns
-- False again.
---Level: Internal
returns Boolean from Standard
is private;
RecursiveRemove( me; theNode : in out mutable AVLNode;
theFather: mutable AVLNode;
theSide : Side from PCollection;
theItem : Item;
forAll : Boolean from Standard)
---Purpose: Recursive method to find the Node containing
-- <theItem>. In case it's <theNode>, removes it if
-- <forAll> is True, or reduces its count if <forAll> is False.
-- Returns True when theItem has been found
---Level: Internal
returns Boolean from Standard
is private;
ShallowCopy(me) returns mutable like me
is redefined;
---Level: Advanced
---C++: function call
ShallowDump (me; s: in out OStream)
is redefined;
---Level: Advanced
---C++: function call
fields
TheRoot : AVLNode;
TheComparator : Comparator;
end;