📄 ubi_splaytree.c
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/* ========================================================================== ** * ubi_SplayTree.c * * Copyright (C) 1993-1998 by Christopher R. Hertel * * Email: crh@ubiqx.mn.org * -------------------------------------------------------------------------- ** * * This module implements "splay" trees. Splay trees are binary trees * that are rearranged (splayed) whenever a node is accessed. The * splaying process *tends* to make the tree bushier (improves balance), * and the nodes that are accessed most frequently *tend* to be closer to * the top. * * References: "Self-Adjusting Binary Search Trees", by Daniel Sleator and * Robert Tarjan. Journal of the Association for Computing * Machinery Vol 32, No. 3, July 1985 pp. 652-686 * * See also: http://www.cs.cmu.edu/~sleator/ * * -------------------------------------------------------------------------- ** * * This library is free software; you can redistribute it and/or * modify it under the terms of the GNU Library General Public * License as published by the Free Software Foundation; either * version 2 of the License, or (at your option) any later version. * * This library is distributed in the hope that it will be useful, * but WITHOUT ANY WARRANTY; without even the implied warranty of * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU * Library General Public License for more details. * * You should have received a copy of the GNU Library General Public * License along with this library; if not, write to the Free * Software Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA. * * -------------------------------------------------------------------------- ** * * Log: ubi_SplayTree.c,v * Revision 4.5 2000/01/08 23:26:49 crh * Added ubi_trSplay() macro, which does a type cast for us. * * Revision 4.4 1998/06/04 21:29:27 crh * Upper-cased defined constants (eg UBI_BINTREE_H) in some header files. * This is more "standard", and is what people expect. Weird, eh? * * Revision 4.3 1998/06/03 17:45:05 crh * Further fiddling with sys_include.h. It's now in ubi_BinTree.h which is * included by all of the binary tree files. * * Also fixed some warnings produced by lint on Irix 6.2, which doesn't seem * to like syntax like this: * * if( (a = b) ) * * The fix was to change lines like the above to: * * if( 0 != (a=b) ) * * Which means the same thing. * * Reminder: Some of the ubi_tr* macros in ubi_BinTree.h are redefined in * ubi_AVLtree.h and ubi_SplayTree.h. This allows easy swapping * of tree types by simply changing a header. Unfortunately, the * macro redefinitions in ubi_AVLtree.h and ubi_SplayTree.h will * conflict if used together. You must either choose a single tree * type, or use the underlying function calls directly. Compare * the two header files for more information. * * Revision 4.2 1998/06/02 01:29:14 crh * Changed ubi_null.h to sys_include.h to make it more generic. * * Revision 4.1 1998/05/20 04:37:54 crh * The C file now includes ubi_null.h. See ubi_null.h for more info. * * Revision 4.0 1998/03/10 03:41:33 crh * Minor comment changes. The revision number is now 4.0 to match the * BinTree and AVLtree modules. * * Revision 2.7 1998/01/24 06:37:08 crh * Added a URL for more information. * * Revision 2.6 1997/12/23 04:01:12 crh * In this version, all constants & macros defined in the header file have * the ubi_tr prefix. Also cleaned up anything that gcc complained about * when run with '-pedantic -fsyntax-only -Wall'. * * Revision 2.5 1997/07/26 04:15:42 crh * + Cleaned up a few minor syntax annoyances that gcc discovered for me. * + Changed ubi_TRUE and ubi_FALSE to ubi_trTRUE and ubi_trFALSE. * * Revision 2.4 1997/06/03 04:42:21 crh * Changed TRUE and FALSE to ubi_TRUE and ubi_FALSE to avoid causing * problems. * * Revision 2.3 1995/10/03 22:19:07 CRH * Ubisized! * Also, added the function ubi_sptSplay(). * * Revision 2.1 95/03/09 23:54:42 CRH * Added the ModuleID static string and function. These modules are now * self-identifying. * * Revision 2.0 95/02/27 22:34:46 CRH * This module was updated to match the interface changes made to the * ubi_BinTree module. In particular, the interface to the Locate() function * has changed. See ubi_BinTree for more information on changes and new * functions. * * The revision number was also upped to match ubi_BinTree. * * Revision 1.1 93/10/18 20:35:16 CRH * I removed the hard-coded logical device names from the include file * specifications. CRH * * Revision 1.0 93/10/15 23:00:15 CRH * With this revision, I have added a set of #define's that provide a single, * standard API to all existing tree modules. Until now, each of the three * existing modules had a different function and typedef prefix, as follows: * * Module Prefix * ubi_BinTree ubi_bt * ubi_AVLtree ubi_avl * ubi_SplayTree ubi_spt * * To further complicate matters, only those portions of the base module * (ubi_BinTree) that were superceeded in the new module had the new names. * For example, if you were using ubi_SplayTree, the locate function was * called "ubi_sptLocate", but the next and previous functions remained * "ubi_btNext" and "ubi_btPrev". * * This was not too terrible if you were familiar with the modules and knew * exactly which tree model you wanted to use. If you wanted to be able to * change modules (for speed comparisons, etc), things could get messy very * quickly. * * So, I have added a set of defined names that get redefined in any of the * descendant modules. To use this standardized interface in your code, * simply replace all occurances of "ubi_bt", "ubi_avl", and "ubi_spt" with * "ubi_tr". The "ubi_tr" names will resolve to the correct function or * datatype names for the module that you are using. Just remember to * include the header for that module in your program file. Because these * names are handled by the preprocessor, there is no added run-time * overhead. * * Note that the original names do still exist, and can be used if you wish * to write code directly to a specific module. This should probably only be * done if you are planning to implement a new descendant type, such as * red/black trees. CRH * * Revision 0.1 93/04/25 22:03:32 CRH * Simply changed the <exec/types.h> #include reference the .c file to * use <stdlib.h> instead. The latter is portable, the former is not. * * Revision 0.0 93/04/21 23:05:52 CRH * Initial version, written by Christopher R. Hertel. * This module implements Splay Trees using the ubi_BinTree module as a basis. * * ========================================================================== ** */#include "ubi_SplayTree.h" /* Header for THIS module. *//* ========================================================================== ** * Static data. */static char ModuleID[] = "ubi_SplayTree\n\\tRevision: 4.5 \n\\tDate: 2000/01/08 23:26:49 \n\\tAuthor: crh \n";/* ========================================================================== ** * Private functions... */static void Rotate( ubi_btNodePtr p ) /* ------------------------------------------------------------------------ ** * This function performs a single rotation, moving node *p up one level * in the tree. * * Input: p - a pointer to an ubi_btNode in a tree. * * Output: None. * * Notes: This implements a single rotation in either direction (left * or right). This is the basic building block of all splay * tree rotations. * ------------------------------------------------------------------------ ** */ { ubi_btNodePtr parentp; ubi_btNodePtr tmp; char way; char revway; parentp = p->Link[ubi_trPARENT]; /* Find parent. */ if( parentp ) /* If no parent, then we're already the root. */ { way = p->gender; revway = ubi_trRevWay(way); tmp = p->Link[(int)revway]; parentp->Link[(int)way] = tmp; if( tmp ) { tmp->Link[ubi_trPARENT] = parentp; tmp->gender = way; } tmp = parentp->Link[ubi_trPARENT]; p->Link[ubi_trPARENT] = tmp; p->gender = parentp->gender; if( tmp ) tmp->Link[(int)(p->gender)] = p; parentp->Link[ubi_trPARENT] = p; parentp->gender = revway; p->Link[(int)revway] = parentp; } } /* Rotate */static ubi_btNodePtr Splay( ubi_btNodePtr SplayWithMe ) /* ------------------------------------------------------------------------ ** * Move the node indicated by SplayWithMe to the root of the tree by * splaying the tree. * * Input: SplayWithMe - A pointer to an ubi_btNode within a tree. * * Output: A pointer to the root of the splay tree (i.e., the same as * SplayWithMe). * ------------------------------------------------------------------------ ** */ { ubi_btNodePtr parent; while( NULL != (parent = SplayWithMe->Link[ubi_trPARENT]) ) { if( parent->gender == SplayWithMe->gender ) /* Zig-Zig */ Rotate( parent ); else { if( ubi_trEQUAL != parent->gender ) /* Zig-Zag */ Rotate( SplayWithMe ); } Rotate( SplayWithMe ); /* Zig */ } /* while */ return( SplayWithMe ); } /* Splay *//* ========================================================================== ** * Exported utilities. */ubi_trBool ubi_sptInsert( ubi_btRootPtr RootPtr,
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