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* lisp/emacs-lisp/avl-tree.el (avl-tree--del-balance): Rename from
avl-tree--del-balance1 and make it work both ways. (avl-tree--del-balance2): Remove. (avl-tree--enter-balance): Rename from avl-tree--enter-balance1 and make it work both ways. (avl-tree--enter-balance2): Remove. (avl-tree--switch-dir, avl-tree--dir-to-sign, avl-tree--sign-to-dir): New macros. (avl-tree--mapc, avl-tree-map): Add direction argument.
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@ -1,3 +1,15 @@
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2009-11-23 Toby Cubitt <toby-predictive@dr-qubit.org>
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* emacs-lisp/avl-tree.el (avl-tree--del-balance): Rename from
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avl-tree--del-balance1 and make it work both ways.
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(avl-tree--del-balance2): Remove.
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(avl-tree--enter-balance): Rename from avl-tree--enter-balance1 and
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make it work both ways.
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(avl-tree--enter-balance2): Remove.
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(avl-tree--switch-dir, avl-tree--dir-to-sign, avl-tree--sign-to-dir):
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New macros.
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(avl-tree--mapc, avl-tree-map): Add direction argument.
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2011-05-27 David Michael <fedora.dm0@gmail.com>
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2011-05-27 David Michael <fedora.dm0@gmail.com>
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* files.el (interpreter-mode-alist): Add rbash (bug#8745).
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* files.el (interpreter-mode-alist): Add rbash (bug#8745).
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@ -3,11 +3,12 @@
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;; Copyright (C) 1995, 2007-2011 Free Software Foundation, Inc.
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;; Copyright (C) 1995, 2007-2011 Free Software Foundation, Inc.
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;; Author: Per Cederqvist <ceder@lysator.liu.se>
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;; Author: Per Cederqvist <ceder@lysator.liu.se>
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;; Inge Wallin <inge@lysator.liu.se>
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;; Inge Wallin <inge@lysator.liu.se>
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;; Thomas Bellman <bellman@lysator.liu.se>
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;; Thomas Bellman <bellman@lysator.liu.se>
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;; Toby Cubitt <toby-predictive@dr-qubit.org>
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;; Maintainer: FSF
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;; Maintainer: FSF
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;; Created: 10 May 1991
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;; Created: 10 May 1991
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;; Keywords: extensions, data structures
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;; Keywords: extensions, data structures, AVL, tree
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;; This file is part of GNU Emacs.
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;; This file is part of GNU Emacs.
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@ -26,14 +27,24 @@
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;;; Commentary:
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;;; Commentary:
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;; An AVL tree is a nearly-perfect balanced binary tree. A tree consists of
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;; An AVL tree is a self-balancing binary tree. As such, inserting,
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;; two elements, the root node and the compare function. The actual tree
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;; deleting, and retrieving data from an AVL tree containing n elements
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;; has a dummy node as its root with the real root in the left pointer.
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;; is O(log n). It is somewhat more rigidly balanced than other
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;; self-balancing binary trees (such as red-black trees and AA trees),
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;; making insertion slighty slower, deletion somewhat slower, and
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;; retrieval somewhat faster (the asymptotic scaling is of course the
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;; same for all types). Thus it may be a good choice when the tree will
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;; be relatively static, i.e. data will be retrieved more often than
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;; they are modified.
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;;
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;; Internally, a tree consists of two elements, the root node and the
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;; comparison function. The actual tree has a dummy node as its root
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;; with the real root in the left pointer, which allows the root node to
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;; be treated on a par with all other nodes.
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;;
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;;
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;; Each node of the tree consists of one data element, one left
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;; Each node of the tree consists of one data element, one left
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;; sub-tree and one right sub-tree. Each node also has a balance
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;; sub-tree, one right sub-tree, and a balance count. The latter is the
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;; count, which is the difference in depth of the left and right
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;; difference in depth of the left and right sub-trees.
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;; sub-trees.
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;;
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;;
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;; The functions with names of the form "avl-tree--" are intended for
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;; The functions with names of the form "avl-tree--" are intended for
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;; internal use only.
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;; internal use only.
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@ -42,43 +53,21 @@
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(eval-when-compile (require 'cl))
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(eval-when-compile (require 'cl))
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;; ================================================================
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;; ================================================================
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;;; Functions and macros handling an AVL tree node.
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;;; Internal functions and macros for use in the AVL tree package
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(defstruct (avl-tree--node
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;; We force a representation without tag so it matches the
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;; pre-defstruct representation. Also we use the underlying
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;; representation in the implementation of avl-tree--node-branch.
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(:type vector)
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(:constructor nil)
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(:constructor avl-tree--node-create (left right data balance))
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(:copier nil))
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left right data balance)
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(defalias 'avl-tree--node-branch 'aref
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;; ----------------------------------------------------------------
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;; This implementation is efficient but breaks the defstruct abstraction.
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;; Functions and macros handling an AVL tree.
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;; An alternative could be
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;; (funcall (aref [avl-tree-left avl-tree-right avl-tree-data] branch) node)
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"Get value of a branch of a node.
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NODE is the node, and BRANCH is the branch.
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0 for left pointer, 1 for right pointer and 2 for the data.\"
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\(fn node branch)")
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;; The funcall/aref trick doesn't work for the setf method, unless we try
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;; and access the underlying setter function, but this wouldn't be
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;; portable either.
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(defsetf avl-tree--node-branch aset)
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;; ================================================================
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;;; Internal functions for use in the AVL tree package
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(defstruct (avl-tree-
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(defstruct (avl-tree-
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;; A tagged list is the pre-defstruct representation.
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;; A tagged list is the pre-defstruct representation.
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;; (:type list)
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;; (:type list)
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:named
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:named
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(:constructor nil)
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(:constructor nil)
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(:constructor avl-tree-create (cmpfun))
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(:constructor avl-tree--create (cmpfun))
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(:predicate avl-tree-p)
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(:predicate avl-tree-p)
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(:copier nil))
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(:copier nil))
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(dummyroot (avl-tree--node-create nil nil nil 0))
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(dummyroot (avl-tree--node-create nil nil nil 0))
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@ -86,112 +75,129 @@ NODE is the node, and BRANCH is the branch.
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(defmacro avl-tree--root (tree)
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(defmacro avl-tree--root (tree)
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;; Return the root node for an avl-tree. INTERNAL USE ONLY.
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;; Return the root node for an avl-tree. INTERNAL USE ONLY.
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`(avl-tree--node-left (avl-tree--dummyroot tree)))
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`(avl-tree--node-left (avl-tree--dummyroot ,tree)))
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(defsetf avl-tree--root (tree) (node)
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(defsetf avl-tree--root (tree) (node)
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`(setf (avl-tree--node-left (avl-tree--dummyroot ,tree)) ,node))
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`(setf (avl-tree--node-left (avl-tree--dummyroot ,tree)) ,node))
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;; ----------------------------------------------------------------
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;; Functions and macros handling an AVL tree node.
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(defstruct (avl-tree--node
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;; We force a representation without tag so it matches the
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;; pre-defstruct representation. Also we use the underlying
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;; representation in the implementation of
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;; avl-tree--node-branch.
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(:type vector)
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(:constructor nil)
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(:constructor avl-tree--node-create (left right data balance))
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(:copier nil))
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left right data balance)
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(defalias 'avl-tree--node-branch 'aref
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;; This implementation is efficient but breaks the defstruct
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;; abstraction. An alternative could be (funcall (aref [avl-tree-left
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;; avl-tree-right avl-tree-data] branch) node)
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"Get value of a branch of a node.
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NODE is the node, and BRANCH is the branch.
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0 for left pointer, 1 for right pointer and 2 for the data.")
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;; The funcall/aref trick wouldn't work for the setf method, unless we
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;; tried to access the underlying setter function, but this wouldn't be
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;; portable either.
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(defsetf avl-tree--node-branch aset)
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;; ----------------------------------------------------------------
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;; Convenience macros
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(defmacro avl-tree--switch-dir (dir)
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"Return opposite direction to DIR (0 = left, 1 = right)."
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`(- 1 ,dir))
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(defmacro avl-tree--dir-to-sign (dir)
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"Convert direction (0,1) to sign factor (-1,+1)."
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`(1- (* 2 ,dir)))
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(defmacro avl-tree--sign-to-dir (dir)
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"Convert sign factor (-x,+x) to direction (0,1)."
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`(if (< ,dir 0) 0 1))
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;; ----------------------------------------------------------------
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;; ----------------------------------------------------------------
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;; Deleting data
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;; Deleting data
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(defun avl-tree--del-balance1 (node branch)
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(defun avl-tree--del-balance (node branch dir)
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;; Rebalance a tree and return t if the height of the tree has shrunk.
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"Rebalance a tree after deleting a node.
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The deletion was done from the left (DIR=0) or right (DIR=1) sub-tree of the
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left (BRANCH=0) or right (BRANCH=1) child of NODE.
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Return t if the height of the tree has shrunk."
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;; (or is it vice-versa for BRANCH?)
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(let ((br (avl-tree--node-branch node branch))
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(let ((br (avl-tree--node-branch node branch))
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p1 b1 p2 b2 result)
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;; opposite direction: 0,1 -> 1,0
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(opp (avl-tree--switch-dir dir))
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;; direction 0,1 -> sign factor -1,+1
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(sgn (avl-tree--dir-to-sign dir))
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p1 b1 p2 b2)
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(cond
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(cond
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((< (avl-tree--node-balance br) 0)
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((> (* sgn (avl-tree--node-balance br)) 0)
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(setf (avl-tree--node-balance br) 0)
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(setf (avl-tree--node-balance br) 0)
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t)
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t)
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((= (avl-tree--node-balance br) 0)
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((= (avl-tree--node-balance br) 0)
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(setf (avl-tree--node-balance br) +1)
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(setf (avl-tree--node-balance br) (- sgn))
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nil)
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nil)
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(t
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(t
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;; Rebalance.
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;; Rebalance.
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(setq p1 (avl-tree--node-right br)
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(setq p1 (avl-tree--node-branch br opp)
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b1 (avl-tree--node-balance p1))
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b1 (avl-tree--node-balance p1))
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(if (>= b1 0)
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(if (<= (* sgn b1) 0)
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;; Single RR rotation.
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;; Single rotation.
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(progn
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(progn
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(setf (avl-tree--node-right br) (avl-tree--node-left p1))
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(setf (avl-tree--node-branch br opp)
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(setf (avl-tree--node-left p1) br)
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(avl-tree--node-branch p1 dir)
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(avl-tree--node-branch p1 dir) br
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(avl-tree--node-branch node branch) p1)
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(if (= 0 b1)
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(if (= 0 b1)
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(progn
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(progn
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(setf (avl-tree--node-balance br) +1)
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(setf (avl-tree--node-balance br) (- sgn)
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(setf (avl-tree--node-balance p1) -1)
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(avl-tree--node-balance p1) sgn)
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(setq result nil))
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nil) ; height hasn't changed
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(setf (avl-tree--node-balance br) 0)
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(setf (avl-tree--node-balance br) 0)
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(setf (avl-tree--node-balance p1) 0)
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(setf (avl-tree--node-balance p1) 0)
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(setq result t))
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t)) ; height has changed
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(setf (avl-tree--node-branch node branch) p1)
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result)
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;; Double RL rotation.
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;; Double rotation.
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(setq p2 (avl-tree--node-left p1)
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(setf p2 (avl-tree--node-branch p1 dir)
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b2 (avl-tree--node-balance p2))
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b2 (avl-tree--node-balance p2)
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(setf (avl-tree--node-left p1) (avl-tree--node-right p2))
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(avl-tree--node-branch p1 dir)
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(setf (avl-tree--node-right p2) p1)
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(avl-tree--node-branch p2 opp)
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(setf (avl-tree--node-right br) (avl-tree--node-left p2))
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(avl-tree--node-branch p2 opp) p1
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(setf (avl-tree--node-left p2) br)
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(avl-tree--node-branch br opp)
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(setf (avl-tree--node-balance br) (if (> b2 0) -1 0))
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(avl-tree--node-branch p2 dir)
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(setf (avl-tree--node-balance p1) (if (< b2 0) +1 0))
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(avl-tree--node-branch p2 dir) br
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(setf (avl-tree--node-branch node branch) p2)
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(avl-tree--node-balance br)
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(setf (avl-tree--node-balance p2) 0)
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(if (< (* sgn b2) 0) sgn 0)
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t)))))
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(avl-tree--node-balance p1)
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(if (> (* sgn b2) 0) (- sgn) 0)
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(defun avl-tree--del-balance2 (node branch)
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(avl-tree--node-branch node branch) p2
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(let ((br (avl-tree--node-branch node branch))
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(avl-tree--node-balance p2) 0)
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p1 b1 p2 b2 result)
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(cond
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((> (avl-tree--node-balance br) 0)
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(setf (avl-tree--node-balance br) 0)
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t)
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((= (avl-tree--node-balance br) 0)
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(setf (avl-tree--node-balance br) -1)
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nil)
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(t
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;; Rebalance.
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(setq p1 (avl-tree--node-left br)
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b1 (avl-tree--node-balance p1))
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(if (<= b1 0)
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;; Single LL rotation.
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(progn
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(setf (avl-tree--node-left br) (avl-tree--node-right p1))
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(setf (avl-tree--node-right p1) br)
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(if (= 0 b1)
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(progn
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(setf (avl-tree--node-balance br) -1)
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(setf (avl-tree--node-balance p1) +1)
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(setq result nil))
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(setf (avl-tree--node-balance br) 0)
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(setf (avl-tree--node-balance p1) 0)
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(setq result t))
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(setf (avl-tree--node-branch node branch) p1)
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result)
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;; Double LR rotation.
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(setq p2 (avl-tree--node-right p1)
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b2 (avl-tree--node-balance p2))
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(setf (avl-tree--node-right p1) (avl-tree--node-left p2))
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(setf (avl-tree--node-left p2) p1)
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(setf (avl-tree--node-left br) (avl-tree--node-right p2))
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(setf (avl-tree--node-right p2) br)
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(setf (avl-tree--node-balance br) (if (< b2 0) +1 0))
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(setf (avl-tree--node-balance p1) (if (> b2 0) -1 0))
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(setf (avl-tree--node-branch node branch) p2)
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(setf (avl-tree--node-balance p2) 0)
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t)))))
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t)))))
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(defun avl-tree--do-del-internal (node branch q)
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(defun avl-tree--do-del-internal (node branch q)
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(let ((br (avl-tree--node-branch node branch)))
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(let ((br (avl-tree--node-branch node branch)))
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(if (avl-tree--node-right br)
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(if (avl-tree--node-right br)
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(if (avl-tree--do-del-internal br +1 q)
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(if (avl-tree--do-del-internal br 1 q)
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(avl-tree--del-balance2 node branch))
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(avl-tree--del-balance node branch 1))
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(setf (avl-tree--node-data q) (avl-tree--node-data br))
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(setf (avl-tree--node-data q) (avl-tree--node-data br)
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(setf (avl-tree--node-branch node branch)
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(avl-tree--node-branch node branch)
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(avl-tree--node-left br))
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(avl-tree--node-left br))
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t)))
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t)))
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(defun avl-tree--do-delete (cmpfun root branch data)
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(defun avl-tree--do-delete (cmpfun root branch data)
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@ -203,102 +209,79 @@ NODE is the node, and BRANCH is the branch.
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((funcall cmpfun data (avl-tree--node-data br))
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((funcall cmpfun data (avl-tree--node-data br))
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(if (avl-tree--do-delete cmpfun br 0 data)
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(if (avl-tree--do-delete cmpfun br 0 data)
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(avl-tree--del-balance1 root branch)))
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(avl-tree--del-balance root branch 0)))
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((funcall cmpfun (avl-tree--node-data br) data)
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((funcall cmpfun (avl-tree--node-data br) data)
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(if (avl-tree--do-delete cmpfun br 1 data)
|
(if (avl-tree--do-delete cmpfun br 1 data)
|
||||||
(avl-tree--del-balance2 root branch)))
|
(avl-tree--del-balance root branch 1)))
|
||||||
|
|
||||||
(t
|
(t
|
||||||
;; Found it. Let's delete it.
|
;; Found it. Let's delete it.
|
||||||
(cond
|
(cond
|
||||||
((null (avl-tree--node-right br))
|
((null (avl-tree--node-right br))
|
||||||
(setf (avl-tree--node-branch root branch) (avl-tree--node-left br))
|
(setf (avl-tree--node-branch root branch) (avl-tree--node-left br))
|
||||||
t)
|
t)
|
||||||
|
|
||||||
((null (avl-tree--node-left br))
|
((null (avl-tree--node-left br))
|
||||||
(setf (avl-tree--node-branch root branch) (avl-tree--node-right br))
|
(setf (avl-tree--node-branch root branch)
|
||||||
t)
|
(avl-tree--node-right br))
|
||||||
|
t)
|
||||||
|
|
||||||
(t
|
(t
|
||||||
(if (avl-tree--do-del-internal br 0 br)
|
(if (avl-tree--do-del-internal br 0 br)
|
||||||
(avl-tree--del-balance1 root branch))))))))
|
(avl-tree--del-balance root branch 0))))))))
|
||||||
|
|
||||||
;; ----------------------------------------------------------------
|
;; ----------------------------------------------------------------
|
||||||
;; Entering data
|
;; Entering data
|
||||||
|
|
||||||
(defun avl-tree--enter-balance1 (node branch)
|
(defun avl-tree--enter-balance (node branch dir)
|
||||||
;; Rebalance a tree and return t if the height of the tree has grown.
|
"Rebalance tree after an insertion
|
||||||
|
into the left (DIR=0) or right (DIR=1) sub-tree of the
|
||||||
|
left (BRANCH=0) or right (BRANCH=1) child of NODE.
|
||||||
|
Return t if the height of the tree has grown."
|
||||||
(let ((br (avl-tree--node-branch node branch))
|
(let ((br (avl-tree--node-branch node branch))
|
||||||
|
;; opposite direction: 0,1 -> 1,0
|
||||||
|
(opp (avl-tree--switch-dir dir))
|
||||||
|
;; direction 0,1 -> sign factor -1,+1
|
||||||
|
(sgn (avl-tree--dir-to-sign dir))
|
||||||
p1 p2 b2 result)
|
p1 p2 b2 result)
|
||||||
(cond
|
(cond
|
||||||
((< (avl-tree--node-balance br) 0)
|
((< (* sgn (avl-tree--node-balance br)) 0)
|
||||||
(setf (avl-tree--node-balance br) 0)
|
(setf (avl-tree--node-balance br) 0)
|
||||||
nil)
|
nil)
|
||||||
|
|
||||||
((= (avl-tree--node-balance br) 0)
|
((= (avl-tree--node-balance br) 0)
|
||||||
(setf (avl-tree--node-balance br) +1)
|
(setf (avl-tree--node-balance br) sgn)
|
||||||
t)
|
t)
|
||||||
|
|
||||||
(t
|
(t
|
||||||
;; Tree has grown => Rebalance.
|
;; Tree has grown => Rebalance.
|
||||||
(setq p1 (avl-tree--node-right br))
|
(setq p1 (avl-tree--node-branch br dir))
|
||||||
(if (> (avl-tree--node-balance p1) 0)
|
(if (> (* sgn (avl-tree--node-balance p1)) 0)
|
||||||
;; Single RR rotation.
|
;; Single rotation.
|
||||||
(progn
|
(progn
|
||||||
(setf (avl-tree--node-right br) (avl-tree--node-left p1))
|
(setf (avl-tree--node-branch br dir)
|
||||||
(setf (avl-tree--node-left p1) br)
|
(avl-tree--node-branch p1 opp))
|
||||||
|
(setf (avl-tree--node-branch p1 opp) br)
|
||||||
(setf (avl-tree--node-balance br) 0)
|
(setf (avl-tree--node-balance br) 0)
|
||||||
(setf (avl-tree--node-branch node branch) p1))
|
(setf (avl-tree--node-branch node branch) p1))
|
||||||
|
|
||||||
;; Double RL rotation.
|
;; Double rotation.
|
||||||
(setq p2 (avl-tree--node-left p1)
|
(setf p2 (avl-tree--node-branch p1 opp)
|
||||||
b2 (avl-tree--node-balance p2))
|
b2 (avl-tree--node-balance p2)
|
||||||
(setf (avl-tree--node-left p1) (avl-tree--node-right p2))
|
(avl-tree--node-branch p1 opp)
|
||||||
(setf (avl-tree--node-right p2) p1)
|
(avl-tree--node-branch p2 dir)
|
||||||
(setf (avl-tree--node-right br) (avl-tree--node-left p2))
|
(avl-tree--node-branch p2 dir) p1
|
||||||
(setf (avl-tree--node-left p2) br)
|
(avl-tree--node-branch br dir)
|
||||||
(setf (avl-tree--node-balance br) (if (> b2 0) -1 0))
|
(avl-tree--node-branch p2 opp)
|
||||||
(setf (avl-tree--node-balance p1) (if (< b2 0) +1 0))
|
(avl-tree--node-branch p2 opp) br
|
||||||
(setf (avl-tree--node-branch node branch) p2))
|
(avl-tree--node-balance br)
|
||||||
(setf (avl-tree--node-balance (avl-tree--node-branch node branch)) 0)
|
(if (> (* sgn b2) 0) (- sgn) 0)
|
||||||
nil))))
|
(avl-tree--node-balance p1)
|
||||||
|
(if (< (* sgn b2) 0) sgn 0)
|
||||||
(defun avl-tree--enter-balance2 (node branch)
|
(avl-tree--node-branch node branch) p2
|
||||||
;; Return t if the tree has grown.
|
(avl-tree--node-balance
|
||||||
(let ((br (avl-tree--node-branch node branch))
|
(avl-tree--node-branch node branch)) 0))
|
||||||
p1 p2 b2)
|
|
||||||
(cond
|
|
||||||
((> (avl-tree--node-balance br) 0)
|
|
||||||
(setf (avl-tree--node-balance br) 0)
|
|
||||||
nil)
|
|
||||||
|
|
||||||
((= (avl-tree--node-balance br) 0)
|
|
||||||
(setf (avl-tree--node-balance br) -1)
|
|
||||||
t)
|
|
||||||
|
|
||||||
(t
|
|
||||||
;; Balance was -1 => Rebalance.
|
|
||||||
(setq p1 (avl-tree--node-left br))
|
|
||||||
(if (< (avl-tree--node-balance p1) 0)
|
|
||||||
;; Single LL rotation.
|
|
||||||
(progn
|
|
||||||
(setf (avl-tree--node-left br) (avl-tree--node-right p1))
|
|
||||||
(setf (avl-tree--node-right p1) br)
|
|
||||||
(setf (avl-tree--node-balance br) 0)
|
|
||||||
(setf (avl-tree--node-branch node branch) p1))
|
|
||||||
|
|
||||||
;; Double LR rotation.
|
|
||||||
(setq p2 (avl-tree--node-right p1)
|
|
||||||
b2 (avl-tree--node-balance p2))
|
|
||||||
(setf (avl-tree--node-right p1) (avl-tree--node-left p2))
|
|
||||||
(setf (avl-tree--node-left p2) p1)
|
|
||||||
(setf (avl-tree--node-left br) (avl-tree--node-right p2))
|
|
||||||
(setf (avl-tree--node-right p2) br)
|
|
||||||
(setf (avl-tree--node-balance br) (if (< b2 0) +1 0))
|
|
||||||
(setf (avl-tree--node-balance p1) (if (> b2 0) -1 0))
|
|
||||||
(setf (avl-tree--node-branch node branch) p2))
|
|
||||||
(setf (avl-tree--node-balance (avl-tree--node-branch node branch)) 0)
|
|
||||||
nil))))
|
nil))))
|
||||||
|
|
||||||
(defun avl-tree--do-enter (cmpfun root branch data)
|
(defun avl-tree--do-enter (cmpfun root branch data)
|
||||||
@ -313,11 +296,11 @@ NODE is the node, and BRANCH is the branch.
|
|||||||
|
|
||||||
((funcall cmpfun data (avl-tree--node-data br))
|
((funcall cmpfun data (avl-tree--node-data br))
|
||||||
(and (avl-tree--do-enter cmpfun br 0 data)
|
(and (avl-tree--do-enter cmpfun br 0 data)
|
||||||
(avl-tree--enter-balance2 root branch)))
|
(avl-tree--enter-balance root branch 0)))
|
||||||
|
|
||||||
((funcall cmpfun (avl-tree--node-data br) data)
|
((funcall cmpfun (avl-tree--node-data br) data)
|
||||||
(and (avl-tree--do-enter cmpfun br 1 data)
|
(and (avl-tree--do-enter cmpfun br 1 data)
|
||||||
(avl-tree--enter-balance1 root branch)))
|
(avl-tree--enter-balance root branch 1)))
|
||||||
|
|
||||||
(t
|
(t
|
||||||
(setf (avl-tree--node-data br) data)
|
(setf (avl-tree--node-data br) data)
|
||||||
@ -325,33 +308,38 @@ NODE is the node, and BRANCH is the branch.
|
|||||||
|
|
||||||
;; ----------------------------------------------------------------
|
;; ----------------------------------------------------------------
|
||||||
|
|
||||||
(defun avl-tree--mapc (map-function root)
|
|
||||||
;; Apply MAP-FUNCTION to all nodes in the tree starting with ROOT.
|
;;; INTERNAL USE ONLY
|
||||||
;; The function is applied in-order.
|
(defun avl-tree--mapc (map-function root dir)
|
||||||
;;
|
"Apply MAP-FUNCTION to all nodes in the tree starting with ROOT.
|
||||||
;; Note: MAP-FUNCTION is applied to the node and not to the data itself.
|
The function is applied in-order, either ascending (DIR=0) or
|
||||||
;; INTERNAL USE ONLY.
|
descending (DIR=1).
|
||||||
|
|
||||||
|
Note: MAP-FUNCTION is applied to the node and not to the data
|
||||||
|
itself."
|
||||||
(let ((node root)
|
(let ((node root)
|
||||||
(stack nil)
|
(stack nil)
|
||||||
(go-left t))
|
(go-dir t))
|
||||||
(push nil stack)
|
(push nil stack)
|
||||||
(while node
|
(while node
|
||||||
(if (and go-left
|
(if (and go-dir
|
||||||
(avl-tree--node-left node))
|
(avl-tree--node-branch node dir))
|
||||||
;; Do the left subtree first.
|
;; Do the DIR subtree first.
|
||||||
(progn
|
(progn
|
||||||
(push node stack)
|
(push node stack)
|
||||||
(setq node (avl-tree--node-left node)))
|
(setq node (avl-tree--node-branch node dir)))
|
||||||
;; Apply the function...
|
;; Apply the function...
|
||||||
(funcall map-function node)
|
(funcall map-function node)
|
||||||
;; and do the right subtree.
|
;; and do the opposite subtree.
|
||||||
(setq node (if (setq go-left (avl-tree--node-right node))
|
(setq node (if (setq go-dir (avl-tree--node-branch
|
||||||
(avl-tree--node-right node)
|
node (avl-tree--switch-dir dir)))
|
||||||
|
(avl-tree--node-branch
|
||||||
|
node (avl-tree--switch-dir dir))
|
||||||
(pop stack)))))))
|
(pop stack)))))))
|
||||||
|
|
||||||
|
;;; INTERNAL USE ONLY
|
||||||
(defun avl-tree--do-copy (root)
|
(defun avl-tree--do-copy (root)
|
||||||
;; Copy the avl tree with ROOT as root.
|
"Copy the avl tree with ROOT as root. Highly recursive."
|
||||||
;; Highly recursive. INTERNAL USE ONLY.
|
|
||||||
(if (null root)
|
(if (null root)
|
||||||
nil
|
nil
|
||||||
(avl-tree--node-create
|
(avl-tree--node-create
|
||||||
@ -360,10 +348,16 @@ NODE is the node, and BRANCH is the branch.
|
|||||||
(avl-tree--node-data root)
|
(avl-tree--node-data root)
|
||||||
(avl-tree--node-balance root))))
|
(avl-tree--node-balance root))))
|
||||||
|
|
||||||
|
|
||||||
;; ================================================================
|
;; ================================================================
|
||||||
;;; The public functions which operate on AVL trees.
|
;;; The public functions which operate on AVL trees.
|
||||||
|
|
||||||
|
;; define public alias for constructors so that we can set docstring
|
||||||
|
(defalias 'avl-tree-create 'avl-tree--create
|
||||||
|
"Create an empty avl tree.
|
||||||
|
COMPARE-FUNCTION is a function which takes two arguments, A and B,
|
||||||
|
and returns non-nil if A is less than B, and nil otherwise.")
|
||||||
|
|
||||||
(defalias 'avl-tree-compare-function 'avl-tree--cmpfun
|
(defalias 'avl-tree-compare-function 'avl-tree--cmpfun
|
||||||
"Return the comparison function for the avl tree TREE.
|
"Return the comparison function for the avl tree TREE.
|
||||||
|
|
||||||
@ -377,9 +371,9 @@ NODE is the node, and BRANCH is the branch.
|
|||||||
"In the avl tree TREE insert DATA.
|
"In the avl tree TREE insert DATA.
|
||||||
Return DATA."
|
Return DATA."
|
||||||
(avl-tree--do-enter (avl-tree--cmpfun tree)
|
(avl-tree--do-enter (avl-tree--cmpfun tree)
|
||||||
(avl-tree--dummyroot tree)
|
(avl-tree--dummyroot tree)
|
||||||
0
|
0
|
||||||
data)
|
data)
|
||||||
data)
|
data)
|
||||||
|
|
||||||
(defun avl-tree-delete (tree data)
|
(defun avl-tree-delete (tree data)
|
||||||
@ -398,28 +392,31 @@ Matching uses the compare function previously specified in
|
|||||||
|
|
||||||
If there is no such element in the tree, the value is nil."
|
If there is no such element in the tree, the value is nil."
|
||||||
(let ((node (avl-tree--root tree))
|
(let ((node (avl-tree--root tree))
|
||||||
(compare-function (avl-tree--cmpfun tree))
|
(compare-function (avl-tree--cmpfun tree)))
|
||||||
found)
|
(catch 'found
|
||||||
(while (and node
|
(while node
|
||||||
(not found))
|
(cond
|
||||||
(cond
|
((funcall compare-function data (avl-tree--node-data node))
|
||||||
((funcall compare-function data (avl-tree--node-data node))
|
(setq node (avl-tree--node-left node)))
|
||||||
(setq node (avl-tree--node-left node)))
|
((funcall compare-function (avl-tree--node-data node) data)
|
||||||
((funcall compare-function (avl-tree--node-data node) data)
|
(setq node (avl-tree--node-right node)))
|
||||||
(setq node (avl-tree--node-right node)))
|
(t (throw 'found (avl-tree--node-data node)))))
|
||||||
(t
|
|
||||||
(setq found t))))
|
|
||||||
(if node
|
|
||||||
(avl-tree--node-data node)
|
|
||||||
nil)))
|
nil)))
|
||||||
|
|
||||||
(defun avl-tree-map (__map-function__ tree)
|
(defun avl-tree-map (__map-function__ tree &optional reverse)
|
||||||
"Apply __MAP-FUNCTION__ to all elements in the avl tree TREE."
|
"Modify all elements in the avl tree TREE by applying FUNCTION.
|
||||||
|
|
||||||
|
Each element is replaced by the return value of FUNCTION applied
|
||||||
|
to that element.
|
||||||
|
|
||||||
|
FUNCTION is applied to the elements in ascending order, or
|
||||||
|
descending order if REVERSE is non-nil."
|
||||||
(avl-tree--mapc
|
(avl-tree--mapc
|
||||||
(lambda (node)
|
(lambda (node)
|
||||||
(setf (avl-tree--node-data node)
|
(setf (avl-tree--node-data node)
|
||||||
(funcall __map-function__ (avl-tree--node-data node))))
|
(funcall __map-function__ (avl-tree--node-data node))))
|
||||||
(avl-tree--root tree)))
|
(avl-tree--root tree)
|
||||||
|
(if reverse 1 0)))
|
||||||
|
|
||||||
(defun avl-tree-first (tree)
|
(defun avl-tree-first (tree)
|
||||||
"Return the first element in TREE, or nil if TREE is empty."
|
"Return the first element in TREE, or nil if TREE is empty."
|
||||||
@ -445,19 +442,18 @@ If there is no such element in the tree, the value is nil."
|
|||||||
|
|
||||||
(defun avl-tree-flatten (tree)
|
(defun avl-tree-flatten (tree)
|
||||||
"Return a sorted list containing all elements of TREE."
|
"Return a sorted list containing all elements of TREE."
|
||||||
(nreverse
|
|
||||||
(let ((treelist nil))
|
(let ((treelist nil))
|
||||||
(avl-tree--mapc
|
(avl-tree--mapc
|
||||||
(lambda (node) (push (avl-tree--node-data node) treelist))
|
(lambda (node) (push (avl-tree--node-data node) treelist))
|
||||||
(avl-tree--root tree))
|
(avl-tree--root tree) 1)
|
||||||
treelist)))
|
treelist))
|
||||||
|
|
||||||
(defun avl-tree-size (tree)
|
(defun avl-tree-size (tree)
|
||||||
"Return the number of elements in TREE."
|
"Return the number of elements in TREE."
|
||||||
(let ((treesize 0))
|
(let ((treesize 0))
|
||||||
(avl-tree--mapc
|
(avl-tree--mapc
|
||||||
(lambda (data) (setq treesize (1+ treesize)))
|
(lambda (data) (setq treesize (1+ treesize)))
|
||||||
(avl-tree--root tree))
|
(avl-tree--root tree) 0)
|
||||||
treesize))
|
treesize))
|
||||||
|
|
||||||
(defun avl-tree-clear (tree)
|
(defun avl-tree-clear (tree)
|
||||||
|
Loading…
Reference in New Issue
Block a user