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author | Daniel Baumann <daniel.baumann@progress-linux.org> | 2024-04-27 11:11:40 +0000 |
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committer | Daniel Baumann <daniel.baumann@progress-linux.org> | 2024-04-27 11:11:40 +0000 |
commit | 7731832751ab9f3c6ddeb66f186d3d7fa1934a6d (patch) | |
tree | e91015872543a59be2aad26c2fea02e41b57005d /libraries/liblutil/tavl.c | |
parent | Initial commit. (diff) | |
download | openldap-7731832751ab9f3c6ddeb66f186d3d7fa1934a6d.tar.xz openldap-7731832751ab9f3c6ddeb66f186d3d7fa1934a6d.zip |
Adding upstream version 2.4.57+dfsg.upstream/2.4.57+dfsgupstream
Signed-off-by: Daniel Baumann <daniel.baumann@progress-linux.org>
Diffstat (limited to 'libraries/liblutil/tavl.c')
-rw-r--r-- | libraries/liblutil/tavl.c | 523 |
1 files changed, 523 insertions, 0 deletions
diff --git a/libraries/liblutil/tavl.c b/libraries/liblutil/tavl.c new file mode 100644 index 0000000..ed12019 --- /dev/null +++ b/libraries/liblutil/tavl.c @@ -0,0 +1,523 @@ +/* avl.c - routines to implement an avl tree */ +/* $OpenLDAP$ */ +/* This work is part of OpenLDAP Software <http://www.openldap.org/>. + * + * Copyright 2005-2021 The OpenLDAP Foundation. + * Portions Copyright (c) 2005 by Howard Chu, Symas Corp. + * All rights reserved. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted only as authorized by the OpenLDAP + * Public License. + * + * A copy of this license is available in the file LICENSE in the + * top-level directory of the distribution or, alternatively, at + * <http://www.OpenLDAP.org/license.html>. + */ +/* ACKNOWLEDGEMENTS: + * This work was initially developed by Howard Chu for inclusion + * in OpenLDAP software. + */ + +#include "portable.h" + +#include <limits.h> +#include <stdio.h> +#include <ac/stdlib.h> + +#ifdef CSRIMALLOC +#define ber_memalloc malloc +#define ber_memrealloc realloc +#define ber_memfree free +#else +#include "lber.h" +#endif + +#define AVL_INTERNAL +#include "avl.h" + +/* Maximum tree depth this host's address space could support */ +#define MAX_TREE_DEPTH (sizeof(void *) * CHAR_BIT) + +static const int avl_bfs[] = {LH, RH}; + +/* + * Threaded AVL trees - for fast in-order traversal of nodes. + */ +/* + * tavl_insert -- insert a node containing data data into the avl tree + * with root root. fcmp is a function to call to compare the data portion + * of two nodes. it should take two arguments and return <, >, or == 0, + * depending on whether its first argument is <, >, or == its second + * argument (like strcmp, e.g.). fdup is a function to call when a duplicate + * node is inserted. it should return 0, or -1 and its return value + * will be the return value from avl_insert in the case of a duplicate node. + * the function will be called with the original node's data as its first + * argument and with the incoming duplicate node's data as its second + * argument. this could be used, for example, to keep a count with each + * node. + * + * NOTE: this routine may malloc memory + */ +int +tavl_insert( Avlnode ** root, void *data, AVL_CMP fcmp, AVL_DUP fdup ) +{ + Avlnode *t, *p, *s, *q, *r; + int a, cmp, ncmp; + + if ( *root == NULL ) { + if (( r = (Avlnode *) ber_memalloc( sizeof( Avlnode ))) == NULL ) { + return( -1 ); + } + r->avl_link[0] = r->avl_link[1] = NULL; + r->avl_data = data; + r->avl_bf = EH; + r->avl_bits[0] = r->avl_bits[1] = AVL_THREAD; + *root = r; + + return( 0 ); + } + + t = NULL; + s = p = *root; + + /* find insertion point */ + while (1) { + cmp = fcmp( data, p->avl_data ); + if ( cmp == 0 ) + return (*fdup)( p->avl_data, data ); + + cmp = (cmp > 0); + q = avl_child( p, cmp ); + if (q == NULL) { + /* insert */ + if (( q = (Avlnode *) ber_memalloc( sizeof( Avlnode ))) == NULL ) { + return( -1 ); + } + q->avl_link[cmp] = p->avl_link[cmp]; + q->avl_link[!cmp] = p; + q->avl_data = data; + q->avl_bf = EH; + q->avl_bits[0] = q->avl_bits[1] = AVL_THREAD; + + p->avl_link[cmp] = q; + p->avl_bits[cmp] = AVL_CHILD; + break; + } else if ( q->avl_bf ) { + t = p; + s = q; + } + p = q; + } + + /* adjust balance factors */ + cmp = fcmp( data, s->avl_data ) > 0; + r = p = s->avl_link[cmp]; + a = avl_bfs[cmp]; + + while ( p != q ) { + cmp = fcmp( data, p->avl_data ) > 0; + p->avl_bf = avl_bfs[cmp]; + p = p->avl_link[cmp]; + } + + /* checks and balances */ + + if ( s->avl_bf == EH ) { + s->avl_bf = a; + return 0; + } else if ( s->avl_bf == -a ) { + s->avl_bf = EH; + return 0; + } else if ( s->avl_bf == a ) { + cmp = (a > 0); + ncmp = !cmp; + if ( r->avl_bf == a ) { + /* single rotation */ + p = r; + if ( r->avl_bits[ncmp] == AVL_THREAD ) { + r->avl_bits[ncmp] = AVL_CHILD; + s->avl_bits[cmp] = AVL_THREAD; + } else { + s->avl_link[cmp] = r->avl_link[ncmp]; + r->avl_link[ncmp] = s; + } + s->avl_bf = 0; + r->avl_bf = 0; + } else if ( r->avl_bf == -a ) { + /* double rotation */ + p = r->avl_link[ncmp]; + if ( p->avl_bits[cmp] == AVL_THREAD ) { + p->avl_bits[cmp] = AVL_CHILD; + r->avl_bits[ncmp] = AVL_THREAD; + } else { + r->avl_link[ncmp] = p->avl_link[cmp]; + p->avl_link[cmp] = r; + } + if ( p->avl_bits[ncmp] == AVL_THREAD ) { + p->avl_bits[ncmp] = AVL_CHILD; + s->avl_link[cmp] = p; + s->avl_bits[cmp] = AVL_THREAD; + } else { + s->avl_link[cmp] = p->avl_link[ncmp]; + p->avl_link[ncmp] = s; + } + if ( p->avl_bf == a ) { + s->avl_bf = -a; + r->avl_bf = 0; + } else if ( p->avl_bf == -a ) { + s->avl_bf = 0; + r->avl_bf = a; + } else { + s->avl_bf = 0; + r->avl_bf = 0; + } + p->avl_bf = 0; + } + /* Update parent */ + if ( t == NULL ) + *root = p; + else if ( s == t->avl_right ) + t->avl_right = p; + else + t->avl_left = p; + } + + return 0; +} + +void* +tavl_delete( Avlnode **root, void* data, AVL_CMP fcmp ) +{ + Avlnode *p, *q, *r, *top; + int side, side_bf, shorter, nside = -1; + + /* parent stack */ + Avlnode *pptr[MAX_TREE_DEPTH]; + unsigned char pdir[MAX_TREE_DEPTH]; + int depth = 0; + + if ( *root == NULL ) + return NULL; + + p = *root; + + while (1) { + side = fcmp( data, p->avl_data ); + if ( !side ) + break; + side = ( side > 0 ); + pdir[depth] = side; + pptr[depth++] = p; + + if ( p->avl_bits[side] == AVL_THREAD ) + return NULL; + p = p->avl_link[side]; + } + data = p->avl_data; + + /* If this node has two children, swap so we are deleting a node with + * at most one child. + */ + if ( p->avl_bits[0] == AVL_CHILD && p->avl_bits[1] == AVL_CHILD && + p->avl_link[0] && p->avl_link[1] ) { + + /* find the immediate predecessor <q> */ + q = p->avl_link[0]; + side = depth; + pdir[depth++] = 0; + while (q->avl_bits[1] == AVL_CHILD && q->avl_link[1]) { + pdir[depth] = 1; + pptr[depth++] = q; + q = q->avl_link[1]; + } + /* swap links */ + r = p->avl_link[0]; + p->avl_link[0] = q->avl_link[0]; + q->avl_link[0] = r; + + q->avl_link[1] = p->avl_link[1]; + p->avl_link[1] = q; + + p->avl_bits[0] = q->avl_bits[0]; + p->avl_bits[1] = q->avl_bits[1]; + q->avl_bits[0] = q->avl_bits[1] = AVL_CHILD; + + q->avl_bf = p->avl_bf; + + /* fix stack positions: old parent of p points to q */ + pptr[side] = q; + if ( side ) { + r = pptr[side-1]; + r->avl_link[pdir[side-1]] = q; + } else { + *root = q; + } + /* new parent of p points to p */ + if ( depth-side > 1 ) { + r = pptr[depth-1]; + r->avl_link[1] = p; + } else { + q->avl_link[0] = p; + } + + /* fix right subtree: successor of p points to q */ + r = q->avl_link[1]; + while ( r->avl_bits[0] == AVL_CHILD && r->avl_link[0] ) + r = r->avl_link[0]; + r->avl_link[0] = q; + } + + /* now <p> has at most one child, get it */ + if ( p->avl_link[0] && p->avl_bits[0] == AVL_CHILD ) { + q = p->avl_link[0]; + /* Preserve thread continuity */ + r = p->avl_link[1]; + nside = 1; + } else if ( p->avl_link[1] && p->avl_bits[1] == AVL_CHILD ) { + q = p->avl_link[1]; + r = p->avl_link[0]; + nside = 0; + } else { + q = NULL; + if ( depth > 0 ) + r = p->avl_link[pdir[depth-1]]; + else + r = NULL; + } + + ber_memfree( p ); + + /* Update child thread */ + if ( q ) { + for ( ; q->avl_bits[nside] == AVL_CHILD && q->avl_link[nside]; + q = q->avl_link[nside] ) ; + q->avl_link[nside] = r; + } + + if ( !depth ) { + *root = q; + return data; + } + + /* set the child into p's parent */ + depth--; + p = pptr[depth]; + side = pdir[depth]; + p->avl_link[side] = q; + + if ( !q ) { + p->avl_bits[side] = AVL_THREAD; + p->avl_link[side] = r; + } + + top = NULL; + shorter = 1; + + while ( shorter ) { + p = pptr[depth]; + side = pdir[depth]; + nside = !side; + side_bf = avl_bfs[side]; + + /* case 1: height unchanged */ + if ( p->avl_bf == EH ) { + /* Tree is now heavier on opposite side */ + p->avl_bf = avl_bfs[nside]; + shorter = 0; + + } else if ( p->avl_bf == side_bf ) { + /* case 2: taller subtree shortened, height reduced */ + p->avl_bf = EH; + } else { + /* case 3: shorter subtree shortened */ + if ( depth ) + top = pptr[depth-1]; /* p->parent; */ + else + top = NULL; + /* set <q> to the taller of the two subtrees of <p> */ + q = p->avl_link[nside]; + if ( q->avl_bf == EH ) { + /* case 3a: height unchanged, single rotate */ + if ( q->avl_bits[side] == AVL_THREAD ) { + q->avl_bits[side] = AVL_CHILD; + p->avl_bits[nside] = AVL_THREAD; + } else { + p->avl_link[nside] = q->avl_link[side]; + q->avl_link[side] = p; + } + shorter = 0; + q->avl_bf = side_bf; + p->avl_bf = (- side_bf); + + } else if ( q->avl_bf == p->avl_bf ) { + /* case 3b: height reduced, single rotate */ + if ( q->avl_bits[side] == AVL_THREAD ) { + q->avl_bits[side] = AVL_CHILD; + p->avl_bits[nside] = AVL_THREAD; + } else { + p->avl_link[nside] = q->avl_link[side]; + q->avl_link[side] = p; + } + shorter = 1; + q->avl_bf = EH; + p->avl_bf = EH; + + } else { + /* case 3c: height reduced, balance factors opposite */ + r = q->avl_link[side]; + if ( r->avl_bits[nside] == AVL_THREAD ) { + r->avl_bits[nside] = AVL_CHILD; + q->avl_bits[side] = AVL_THREAD; + } else { + q->avl_link[side] = r->avl_link[nside]; + r->avl_link[nside] = q; + } + + if ( r->avl_bits[side] == AVL_THREAD ) { + r->avl_bits[side] = AVL_CHILD; + p->avl_bits[nside] = AVL_THREAD; + p->avl_link[nside] = r; + } else { + p->avl_link[nside] = r->avl_link[side]; + r->avl_link[side] = p; + } + + if ( r->avl_bf == side_bf ) { + q->avl_bf = (- side_bf); + p->avl_bf = EH; + } else if ( r->avl_bf == (- side_bf)) { + q->avl_bf = EH; + p->avl_bf = side_bf; + } else { + q->avl_bf = EH; + p->avl_bf = EH; + } + r->avl_bf = EH; + q = r; + } + /* a rotation has caused <q> (or <r> in case 3c) to become + * the root. let <p>'s former parent know this. + */ + if ( top == NULL ) { + *root = q; + } else if (top->avl_link[0] == p) { + top->avl_link[0] = q; + } else { + top->avl_link[1] = q; + } + /* end case 3 */ + p = q; + } + if ( !depth ) + break; + depth--; + } /* end while(shorter) */ + + return data; +} + +/* + * tavl_free -- traverse avltree root, freeing the memory it is using. + * the dfree() is called to free the data portion of each node. The + * number of items actually freed is returned. + */ + +int +tavl_free( Avlnode *root, AVL_FREE dfree ) +{ + int nleft, nright; + + if ( root == 0 ) + return( 0 ); + + nleft = tavl_free( avl_lchild( root ), dfree ); + + nright = tavl_free( avl_rchild( root ), dfree ); + + if ( dfree ) + (*dfree)( root->avl_data ); + ber_memfree( root ); + + return( nleft + nright + 1 ); +} + +/* + * tavl_find -- search avltree root for a node with data data. the function + * cmp is used to compare things. it is called with data as its first arg + * and the current node data as its second. it should return 0 if they match, + * < 0 if arg1 is less than arg2 and > 0 if arg1 is greater than arg2. + */ + +/* + * tavl_find2 - returns Avlnode instead of data pointer. + * tavl_find3 - as above, but returns Avlnode even if no match is found. + * also set *ret = last comparison result, or -1 if root == NULL. + */ +Avlnode * +tavl_find3( Avlnode *root, const void *data, AVL_CMP fcmp, int *ret ) +{ + int cmp = -1, dir; + Avlnode *prev = root; + + while ( root != 0 && (cmp = (*fcmp)( data, root->avl_data )) != 0 ) { + prev = root; + dir = cmp > 0; + root = avl_child( root, dir ); + } + *ret = cmp; + return root ? root : prev; +} + +Avlnode * +tavl_find2( Avlnode *root, const void *data, AVL_CMP fcmp ) +{ + int cmp; + + while ( root != 0 && (cmp = (*fcmp)( data, root->avl_data )) != 0 ) { + cmp = cmp > 0; + root = avl_child( root, cmp ); + } + return root; +} + +void* +tavl_find( Avlnode *root, const void* data, AVL_CMP fcmp ) +{ + int cmp; + + while ( root != 0 && (cmp = (*fcmp)( data, root->avl_data )) != 0 ) { + cmp = cmp > 0; + root = avl_child( root, cmp ); + } + + return( root ? root->avl_data : 0 ); +} + +/* Return the leftmost or rightmost node in the tree */ +Avlnode * +tavl_end( Avlnode *root, int dir ) +{ + if ( root ) { + while ( root->avl_bits[dir] == AVL_CHILD ) + root = root->avl_link[dir]; + } + return root; +} + +/* Return the next node in the given direction */ +Avlnode * +tavl_next( Avlnode *root, int dir ) +{ + if ( root ) { + int c = root->avl_bits[dir]; + + root = root->avl_link[dir]; + if ( c == AVL_CHILD ) { + dir ^= 1; + while ( root->avl_bits[dir] == AVL_CHILD ) + root = root->avl_link[dir]; + } + } + return root; +} |