From: Guus Sliepen Date: Tue, 2 Nov 2004 20:50:53 +0000 (+0000) Subject: Splay trees. X-Git-Tag: release-1.0.3~17 X-Git-Url: https://git.librecmc.org/?p=oweals%2Ftinc.git;a=commitdiff_plain;h=719cb95ea4fa7a2e6f4291aed607323f290c7a91 Splay trees. --- diff --git a/lib/splay_tree.c b/lib/splay_tree.c new file mode 100644 index 0000000..1b320cc --- /dev/null +++ b/lib/splay_tree.c @@ -0,0 +1,560 @@ +/* + splay_tree.c -- splay tree and linked list convenience + Copyright (C) 2004 Guus Sliepen + + This program is free software; you can redistribute it and/or modify + it under the terms of the GNU General Public License as published by + the Free Software Foundation; either version 2 of the License, or + (at your option) any later version. + + This program 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 General Public License for more details. + + You should have received a copy of the GNU General Public License + along with this program; if not, write to the Free Software + Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA. + + $Id: splay_tree.c 1374 2004-03-21 14:21:22Z guus $ +*/ + +#include "system.h" + +#include "splay_tree.h" +#include "xalloc.h" + +/* Splay operation */ + +static splay_node_t *splay_top_down(splay_tree_t *tree, const void *data, int *result) { + splay_node_t left = {0}, right = {0}; + splay_node_t *leftbottom = &left, *rightbottom = &right, *child; + splay_node_t *node = tree->root; + int c; + + while((c = tree->compare(data, node->data))) { + if(c < 0) { + child = node->left; + + if(child) { + c = tree->compare(data, child->data); + + if(c < 0) { + rightbottom->left = child; + child->parent = rightbottom; + rightbottom = child; + + node->left = child->right; + child->right = node; + node->parent = child; + node = child->left; + child->left = NULL; + } else if (c > 0) { + if(!child->right) + break; + + leftbottom->right = child; + child->parent = leftbottom; + leftbottom = child; + + rightbottom->left = node; + node->parent = rightbottom; + rightbottom = node; + + node->left = NULL; + node = child->right; + child->right = NULL; + } else { + rightbottom->left = node; + node->parent = rightbottom; + rightbottom = node; + + node->left = NULL; + child->parent = NULL; + node = child; + break; + } + } else { + break; + } + } else { + child = node->right; + + if(child) { + c = tree->compare(data, child->data); + + if(c > 0) { + leftbottom->right = child; + child->parent = leftbottom; + leftbottom = child; + + node->right = child->left; + child->left = node; + node->parent = child; + node = child->right; + child->right = NULL; + } else if (c < 0) { + if(!child->left) + break; + + rightbottom->left = child; + child->parent = rightbottom; + rightbottom = child; + + leftbottom->right = node; + node->parent = leftbottom; + leftbottom = node; + + node->right = NULL; + node = child->left; + child->left = NULL; + } else { + leftbottom->right = node; + node->parent = leftbottom; + leftbottom = node; + + node->right = NULL; + child->parent = NULL; + node = child; + break; + } + } else { + break; + } + } + } + + tree->root = node; + + /* Merge trees */ + + if(left.right) { + if(node->left) { + leftbottom->right = node->left; + node->left->parent = leftbottom; + } + node->left = left.right; + left.right->parent = node; + } + + if(right.left) { + if(node->right) { + rightbottom->left = node->right; + node->right->parent = rightbottom; + } + node->right = right.left; + right.left->parent = node; + } + + if(result) + *result = c; + + return node; +} + + +static void splay_bottom_up(splay_tree_t *tree, splay_node_t *node) { + splay_node_t *parent, *grandparent; + + while(node->parent) { + parent = node->parent; + grandparent = node->parent->parent; + + if(!grandparent) { /* zig */ + if(node == parent->left) { + parent->left = node->right; + node->right = parent; + } else { + parent->right = node->left; + node->left = parent; + } + + parent->parent = node; + node->parent = NULL; + } else { + if(node == grandparent->left->left) { /* left zig-zig */ + grandparent->left = parent->right; + parent->right = grandparent; + grandparent->parent = parent; + + parent->left = node->right; + node->right = parent; + parent->parent = node; + + } else if(node == grandparent->right->right) { /* right zig-zig */ + grandparent->right = parent->left; + parent->left = grandparent; + grandparent->parent = parent; + + parent->right = node->left; + node->left = parent; + parent->parent = node; + + } else if(node == grandparent->left->right) { /* left-right zig-zag */ + parent->right = node->left; + node->left = parent; + parent->parent = node; + + grandparent->left = node->right; + node->right = grandparent; + grandparent->parent = node; + + } else { /* right-left zig-zag */ + parent->left = node->right; + node->right = parent; + parent->parent = node; + + grandparent->right = node->left; + node->left = grandparent; + grandparent->parent = node; + } + + node->parent = grandparent->parent; + + if(node->parent) { + if(grandparent == node->parent->left) + node->parent->left = node; + else + node->parent->right = node; + } + } + } + + tree->root = node; +} + +/* (De)constructors */ + +splay_tree_t *splay_alloc_tree(splay_compare_t compare, splay_action_t delete) { + splay_tree_t *tree; + + tree = xmalloc_and_zero(sizeof(splay_tree_t)); + tree->compare = compare; + tree->delete = delete; + + return tree; +} + +void splay_free_tree(splay_tree_t *tree) { + free(tree); +} + +splay_node_t *splay_alloc_node(void) { + return xmalloc_and_zero(sizeof(splay_node_t)); +} + +void splay_free_node(splay_tree_t *tree, splay_node_t *node) { + if(node->data && tree->delete) + tree->delete(node->data); + + free(node); +} + +/* Searching */ + +void *splay_search(splay_tree_t *tree, const void *data) { + splay_node_t *node; + + node = splay_search_node(tree, data); + + return node ? node->data : NULL; +} + +void *splay_search_closest(splay_tree_t *tree, const void *data, int *result) { + splay_node_t *node; + + node = splay_search_closest_node(tree, data, result); + + return node ? node->data : NULL; +} + +void *splay_search_closest_smaller(splay_tree_t *tree, const void *data) { + splay_node_t *node; + + node = splay_search_closest_smaller_node(tree, data); + + return node ? node->data : NULL; +} + +void *splay_search_closest_greater(splay_tree_t *tree, const void *data) { + splay_node_t *node; + + node = splay_search_closest_greater_node(tree, data); + + return node ? node->data : NULL; +} + +splay_node_t *splay_search_node(splay_tree_t *tree, const void *data) { + splay_node_t *node; + int result; + + node = splay_search_closest_node(tree, data, &result); + + return result ? NULL : node; +} + +splay_node_t *splay_search_closest_node_nosplay(const splay_tree_t *tree, const void *data, int *result) { + splay_node_t *node; + int c; + + node = tree->root; + + if(!node) { + if(result) + *result = 0; + return NULL; + } + + for(;;) { + c = tree->compare(data, node->data); + + if(c < 0) { + if(node->left) + node = node->left; + else { + if(result) + *result = -1; + break; + } + } else if(c > 0) { + if(node->right) + node = node->right; + else { + if(result) + *result = 1; + break; + } + } else { + if(result) + *result = 0; + break; + } + } + + return node; +} + +splay_node_t *splay_search_closest_node(splay_tree_t *tree, const void *data, int *result) { + return splay_top_down(tree, data, result); +} + +splay_node_t *splay_search_closest_smaller_node(splay_tree_t *tree, const void *data) { + splay_node_t *node; + int result; + + node = splay_search_closest_node(tree, data, &result); + + if(result < 0) + node = node->prev; + + return node; +} + +splay_node_t *splay_search_closest_greater_node(splay_tree_t *tree, const void *data) { + splay_node_t *node; + int result; + + node = splay_search_closest_node(tree, data, &result); + + if(result > 0) + node = node->next; + + return node; +} + +/* Insertion and deletion */ + +splay_node_t *splay_insert(splay_tree_t *tree, void *data) { + splay_node_t *closest, *new; + int result; + + if(!tree->root) { + new = splay_alloc_node(); + new->data = data; + splay_insert_top(tree, new); + } else { + closest = splay_search_closest_node_nosplay(tree, data, &result); + + if(!result) + return NULL; + + new = splay_alloc_node(); + new->data = data; + + if(result < 0) + splay_insert_before(tree, closest, new); + else + splay_insert_after(tree, closest, new); + } + + return new; +} + +splay_node_t *splay_insert_node(splay_tree_t *tree, splay_node_t *node) { + splay_node_t *closest; + int result; + + if(!tree->root) + splay_insert_top(tree, node); + else { + closest = splay_search_closest_node_nosplay(tree, node->data, &result); + + if(!result) + return NULL; + + if(result < 0) + splay_insert_before(tree, closest, node); + else + splay_insert_after(tree, closest, node); + } + + return node; +} + +void splay_insert_top(splay_tree_t *tree, splay_node_t *node) { + node->prev = node->next = node->parent = NULL; + tree->head = tree->tail = tree->root = node; +} + +void splay_insert_before(splay_tree_t *tree, splay_node_t *before, splay_node_t *node) { + if(!before) { + if(tree->tail) + splay_insert_after(tree, tree->tail, node); + else + splay_insert_top(tree, node); + return; + } + + node->next = before; + node->parent = before; + node->prev = before->prev; + + if(before->left) { + splay_insert_after(tree, before->prev, node); + return; + } + + if(before->prev) + before->prev->next = node; + else + tree->head = node; + + before->prev = node; + before->left = node; + + splay_bottom_up(tree, node); +} + +void splay_insert_after(splay_tree_t *tree, splay_node_t *after, splay_node_t *node) { + if(!after) { + if(tree->head) + splay_insert_before(tree, tree->head, node); + else + splay_insert_top(tree, node); + return; + } + + if(after->right) { + splay_insert_before(tree, after->next, node); + return; + } + + node->prev = after; + node->parent = after; + node->next = after->next; + + if(after->next) + after->next->prev = node; + else + tree->tail = node; + + after->next = node; + after->right = node; + + splay_bottom_up(tree, node); +} + +splay_node_t *splay_unlink(splay_tree_t *tree, void *data) { + splay_node_t *node; + int result; + + node = splay_search_closest_node_nosplay(tree, data, &result); + + if(node && !result) + splay_unlink_node(tree, node); + + return node; +} + +void splay_unlink_node(splay_tree_t *tree, splay_node_t *node) { + if(node->prev) + node->prev->next = node->next; + else + tree->head = node->next; + + if(node->next) + node->next->prev = node->prev; + else + tree->tail = node->prev; + + if(node->left) { + node->left->parent = NULL; + tree->root = node->left; + + if(node->right) { + splay_bottom_up(tree, node->prev); + node->prev->right = node->right; + node->right->parent = node->prev; + } + } else { + node->right->parent = NULL; + tree->root = node->right; + } +} + +void splay_delete_node(splay_tree_t *tree, splay_node_t *node) { + splay_unlink_node(tree, node); + splay_free_node(tree, node); +} + +void splay_delete(splay_tree_t *tree, void *data) { + splay_node_t *node; + + node = splay_search_node(tree, data); + + if(node) + splay_delete_node(tree, node); +} + +/* Fast tree cleanup */ + +void splay_delete_tree(splay_tree_t *tree) { + splay_node_t *node, *next; + + for(node = tree->root; node; node = next) { + next = node->next; + splay_free_node(tree, node); + } + + splay_free_tree(tree); +} + +/* Tree walking */ + +void splay_foreach(const splay_tree_t *tree, splay_action_t action) { + splay_node_t *node, *next; + + for(node = tree->head; node; node = next) { + next = node->next; + action(node->data); + } +} + +void splay_foreach_node(const splay_tree_t *tree, splay_action_t action) { + splay_node_t *node, *next; + + for(node = tree->head; node; node = next) { + next = node->next; + action(node); + } +} diff --git a/lib/splay_tree.h b/lib/splay_tree.h new file mode 100644 index 0000000..a638eca --- /dev/null +++ b/lib/splay_tree.h @@ -0,0 +1,109 @@ +/* + splay_tree.h -- header file for splay_tree.c + Copyright (C) 2004 Guus Sliepen + + This program is free software; you can redistribute it and/or modify + it under the terms of the GNU General Public License as published by + the Free Software Foundation; either version 2 of the License, or + (at your option) any later version. + + This program 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 General Public License for more details. + + You should have received a copy of the GNU General Public License + along with this program; if not, write to the Free Software + Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA. + + $Id: splay_tree.h 1374 2004-03-21 14:21:22Z guus $ +*/ + + +#ifndef __SPLAY_TREE_H__ +#define __SPLAY_TREE_H__ + +typedef struct splay_node_t { + + /* Linked list part */ + + struct splay_node_t *next; + struct splay_node_t *prev; + + /* Tree part */ + + struct splay_node_t *parent; + struct splay_node_t *left; + struct splay_node_t *right; + + /* Payload */ + + void *data; + +} splay_node_t; + +typedef int (*splay_compare_t)(const void *, const void *); +typedef void (*splay_action_t)(const void *); +typedef void (*splay_action_node_t)(const splay_node_t *); + +typedef struct splay_tree_t { + + /* Linked list part */ + + splay_node_t *head; + splay_node_t *tail; + + /* Tree part */ + + splay_node_t *root; + + splay_compare_t compare; + splay_action_t delete; + +} splay_tree_t; + +/* (De)constructors */ + +extern splay_tree_t *splay_alloc_tree(splay_compare_t, splay_action_t); +extern void splay_free_tree(splay_tree_t *); + +extern splay_node_t *splay_alloc_node(void); +extern void splay_free_node(splay_tree_t *tree, splay_node_t *); + +/* Insertion and deletion */ + +extern splay_node_t *splay_insert(splay_tree_t *, void *); +extern splay_node_t *splay_insert_node(splay_tree_t *, splay_node_t *); + +extern void splay_insert_top(splay_tree_t *, splay_node_t *); +extern void splay_insert_before(splay_tree_t *, splay_node_t *, splay_node_t *); +extern void splay_insert_after(splay_tree_t *, splay_node_t *, splay_node_t *); + +extern splay_node_t *splay_unlink(splay_tree_t *, void *); +extern void splay_unlink_node(splay_tree_t *tree, splay_node_t *); +extern void splay_delete(splay_tree_t *, void *); +extern void splay_delete_node(splay_tree_t *, splay_node_t *); + +/* Fast tree cleanup */ + +extern void splay_delete_tree(splay_tree_t *); + +/* Searching */ + +extern void *splay_search(splay_tree_t *, const void *); +extern void *splay_search_closest(splay_tree_t *, const void *, int *); +extern void *splay_search_closest_smaller(splay_tree_t *, const void *); +extern void *splay_search_closest_greater(splay_tree_t *, const void *); + +extern splay_node_t *splay_search_node(splay_tree_t *, const void *); +extern splay_node_t *splay_search_closest_node(splay_tree_t *, const void *, int *); +extern splay_node_t *splay_search_closest_node_nosplay(const splay_tree_t *, const void *, int *); +extern splay_node_t *splay_search_closest_smaller_node(splay_tree_t *, const void *); +extern splay_node_t *splay_search_closest_greater_node(splay_tree_t *, const void *); + +/* Tree walking */ + +extern void splay_foreach(const splay_tree_t *, splay_action_t); +extern void splay_foreach_node(const splay_tree_t *, splay_action_t); + +#endif