X-Git-Url: https://git.tokkee.org/?a=blobdiff_plain;f=src%2Futils_avltree.c;h=786bc38f9d026d3ead7ab973db07ebe45982e239;hb=d4a0ba8ef40bbdd52be4ad73d7064171aeed155e;hp=f2c5d06f988aac752ccaa7f0085c56aa04c46b74;hpb=8355cd81e42f61a5e16246a314c9e3dadea5326e;p=collectd.git diff --git a/src/utils_avltree.c b/src/utils_avltree.c index f2c5d06f..786bc38f 100644 --- a/src/utils_avltree.c +++ b/src/utils_avltree.c @@ -1,10 +1,33 @@ +/** + * collectd - src/utils_avltree.c + * Copyright (C) 2006,2007 Florian octo Forster + * + * 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., + * 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA + * + * Authors: + * Florian octo Forster + **/ #include +#include +#include #include #include "utils_avltree.h" -#define BALANCE(n) ((((n)->right == NULL) ? 0 : (n)->right->height) \ - - (((n)->left == NULL) ? 0 : (n)->left->height)) +#define BALANCE(n) ((((n)->left == NULL) ? 0 : (n)->left->height) \ + - (((n)->right == NULL) ? 0 : (n)->right->height)) /* * private data types @@ -36,6 +59,22 @@ struct avl_iterator_s /* * private functions */ +#if 0 +static void verify_tree (avl_node_t *n) +{ + if (n == NULL) + return; + + verify_tree (n->left); + verify_tree (n->right); + + assert ((BALANCE (n) >= -1) && (BALANCE (n) <= 1)); + assert ((n->parent == NULL) || (n->parent->right == n) || (n->parent->left == n)); +} /* void verify_tree */ +#else +# define verify_tree(n) /**/ +#endif + static void free_node (avl_node_t *n) { if (n == NULL) @@ -49,6 +88,22 @@ static void free_node (avl_node_t *n) free (n); } +static int calc_height (avl_node_t *n) +{ + int height_left; + int height_right; + + if (n == NULL) + return (0); + + height_left = (n->left == NULL) ? 0 : n->left->height; + height_right = (n->right == NULL) ? 0 : n->right->height; + + return (((height_left > height_right) + ? height_left + : height_right) + 1); +} /* int calc_height */ + static avl_node_t *search (avl_tree_t *t, const void *key) { avl_node_t *n; @@ -69,160 +124,144 @@ static avl_node_t *search (avl_tree_t *t, const void *key) return (NULL); } -static void rebalance (avl_tree_t *t, avl_node_t *n) +/* (x) (y) + * / \ / \ + * (y) /\ /\ (x) + * / \ /_c\ ==> / a\ / \ + * /\ /\ /____\/\ /\ + * / a\ /_b\ /_b\ /_c\ + * /____\ + */ +static avl_node_t *rotate_right (avl_tree_t *t, avl_node_t *x) { - int height_left; - int height_right; - int height_new; - int cmp; + avl_node_t *p; + avl_node_t *y; + avl_node_t *b; + + p = x->parent; + y = x->left; + b = y->right; + + x->left = b; + if (b != NULL) + b->parent = x; + + x->parent = y; + y->right = x; + + y->parent = p; + assert ((p == NULL) || (p->left == x) || (p->right == x)); + if (p == NULL) + t->root = y; + else if (p->left == x) + p->left = y; + else + p->right = y; - while (n != NULL) - { - height_left = (n->left == NULL) ? 0 : n->left->height; - height_right = (n->right == NULL) ? 0 : n->right->height; + x->height = calc_height (x); + y->height = calc_height (y); - height_new = 1 + ((height_left > height_right) ? height_left : height_right); + return (y); +} /* void rotate_left */ - if (height_new == n->height) - break; +/* + * (x) (y) + * / \ / \ + * /\ (y) (x) /\ + * /_a\ / \ ==> / \ / c\ + * /\ /\ /\ /\/____\ + * /_b\ / c\ /_a\ /_b\ + * /____\ + */ +static avl_node_t *rotate_left (avl_tree_t *t, avl_node_t *x) +{ + avl_node_t *p; + avl_node_t *y; + avl_node_t *b; + + p = x->parent; + y = x->right; + b = y->left; + + x->right = b; + if (b != NULL) + b->parent = x; + + x->parent = y; + y->left = x; + + y->parent = p; + assert ((p == NULL) || (p->left == x) || (p->right == x)); + if (p == NULL) + t->root = y; + else if (p->left == x) + p->left = y; + else + p->right = y; - /* FIXME */ - if (n->left != NULL) - { - cmp = BALANCE(n->left); - assert ((cmp >= -1) && (cmp <= 1)); - } - if (n->right != NULL) - { - cmp = BALANCE(n->right); - assert ((cmp >= -1) && (cmp <= 1)); - } + x->height = calc_height (x); + y->height = calc_height (y); - n->height = height_new; + return (y); +} /* void rotate_left */ - cmp = height_right - height_left; - if (cmp < -1) - { - avl_node_t *l; - avl_node_t *lr; +static avl_node_t *rotate_left_right (avl_tree_t *t, avl_node_t *x) +{ + rotate_left (t, x->left); + return (rotate_right (t, x)); +} /* void rotate_left_right */ - l = n->left; - lr = l->right; +static avl_node_t *rotate_right_left (avl_tree_t *t, avl_node_t *x) +{ + rotate_right (t, x->right); + return (rotate_left (t, x)); +} /* void rotate_right_left */ - l->right = n; - l->parent = n->parent; - n->parent = l; - n->left = lr; +static void rebalance (avl_tree_t *t, avl_node_t *n) +{ + int b_top; + int b_bottom; - if (lr != NULL) - lr->parent = n; + while (n != NULL) + { + b_top = BALANCE (n); + assert ((b_top >= -2) && (b_top <= 2)); - if (l->parent == NULL) - { - assert (t->root == n); - t->root = l; - } + if (b_top == -2) + { + assert (n->right != NULL); + b_bottom = BALANCE (n->right); + assert ((b_bottom >= -1) || (b_bottom <= 1)); + if (b_bottom == 1) + n = rotate_right_left (t, n); else - { - assert ((l->parent->left == n) || (l->parent->right == n)); - if (l->parent->left == n) - l->parent->left = l; - else - l->parent->right = l; - } - - height_left = (n->left == NULL) ? 0 : n->left->height; - height_right = (n->right == NULL) ? 0 : n->right->height; - height_new = 1 + ((height_left > height_right) ? height_left : height_right); - cmp = BALANCE(n); - assert (height_new < n->height); - assert ((cmp >= -1) || (cmp <= 1)); - n->height = height_new; - - height_left = (l->left == NULL) ? 0 : l->left->height; - height_right = (l->right == NULL) ? 0 : l->right->height; - height_new = 1 + ((height_left > height_right) ? height_left : height_right); - cmp = BALANCE(l); - assert (height_new >= l->height); - assert ((cmp >= -1) || (cmp <= 1)); - l->height = height_new; - - n = l->parent; + n = rotate_left (t, n); } - else if (cmp > 1) + else if (b_top == 2) { - avl_node_t *r; - avl_node_t *rl; - - r = n->right; - rl = r->left; - - r->left = n; - r->parent = n->parent; - n->parent = r; - n->right = rl; - - if (rl != NULL) - rl->parent = n; - - if (r->parent == NULL) - { - assert (t->root == n); - t->root = r; - } + assert (n->left != NULL); + b_bottom = BALANCE (n->left); + assert ((b_bottom >= -1) || (b_bottom <= 1)); + if (b_bottom == -1) + n = rotate_left_right (t, n); else - { - assert ((r->parent->left == n) || (r->parent->right == n)); - if (r->parent->left == n) - r->parent->left = r; - else - r->parent->right = r; - } - - height_left = (n->left == NULL) ? 0 : n->left->height; - height_right = (n->right == NULL) ? 0 : n->right->height; - height_new = 1 + ((height_left > height_right) ? height_left : height_right); - cmp = BALANCE(n); - assert (height_new < n->height); - assert ((cmp >= -1) || (cmp <= 1)); - n->height = height_new; - - height_left = (r->left == NULL) ? 0 : r->left->height; - height_right = (r->right == NULL) ? 0 : r->right->height; - height_new = 1 + ((height_left > height_right) ? height_left : height_right); - cmp = BALANCE(r); - assert (height_new >= r->height); - assert ((cmp >= -1) || (cmp <= 1)); - r->height = height_new; - - n = r->parent; + n = rotate_right (t, n); } else { - n = n->parent; + int height = calc_height (n); + if (height == n->height) + break; + n->height = height; } - assert ((n == NULL) || (n->parent == NULL) - || (n->parent->left == n) - || (n->parent->right == n)); + assert (n->height == calc_height (n)); + + n = n->parent; } /* while (n != NULL) */ } /* void rebalance */ -static avl_iterator_t *avl_create_iterator (avl_tree_t *t, avl_node_t *n) -{ - avl_iterator_t *iter; - - iter = (avl_iterator_t *) malloc (sizeof (avl_iterator_t)); - if (iter == NULL) - return (NULL); - - iter->tree = t; - iter->node = n; - - return (iter); -} - -void *avl_node_next (avl_tree_t *t, avl_node_t *n) +static avl_node_t *avl_node_next (avl_tree_t *t, avl_node_t *n) { avl_node_t *r; /* return node */ @@ -230,16 +269,31 @@ void *avl_node_next (avl_tree_t *t, avl_node_t *n) { return (NULL); } - else if (n->right == NULL) - { + /* If we can't descent any further, we have to backtrack to the first + * parent that's bigger than we, i. e. who's _left_ child we are. */ + if (n->right == NULL) + { r = n->parent; - while (r != NULL) + while ((r != NULL) && (r->parent != NULL)) { - /* stop if a bigger node is found */ - if (t->compare (n, r) < 0) /* n < r */ + if (r->left == n) break; - r = r->parent; + n = r; + r = n->parent; + } + + /* n->right == NULL && r == NULL => t is root and has no next + * r->left != n => r->right = n => r->parent == NULL */ + if ((r == NULL) || (r->left != n)) + { + assert ((r == NULL) || (r->parent == NULL)); + return (NULL); + } + else + { + assert (r->left == n); + return (r); } } else @@ -250,9 +304,9 @@ void *avl_node_next (avl_tree_t *t, avl_node_t *n) } return (r); -} +} /* avl_node_t *avl_node_next */ -void *avl_node_prev (avl_tree_t *t, avl_node_t *n) +static avl_node_t *avl_node_prev (avl_tree_t *t, avl_node_t *n) { avl_node_t *r; /* return node */ @@ -260,16 +314,31 @@ void *avl_node_prev (avl_tree_t *t, avl_node_t *n) { return (NULL); } - else if (n->left == NULL) - { + /* If we can't descent any further, we have to backtrack to the first + * parent that's smaller than we, i. e. who's _right_ child we are. */ + if (n->left == NULL) + { r = n->parent; - while (r != NULL) + while ((r != NULL) && (r->parent != NULL)) { - /* stop if a smaller node is found */ - if (t->compare (n, r) > 0) /* n > r */ + if (r->right == n) break; - r = r->parent; + n = r; + r = n->parent; + } + + /* n->left == NULL && r == NULL => t is root and has no next + * r->right != n => r->left = n => r->parent == NULL */ + if ((r == NULL) || (r->right != n)) + { + assert ((r == NULL) || (r->parent == NULL)); + return (NULL); + } + else + { + assert (r->right == n); + return (r); } } else @@ -280,12 +349,38 @@ void *avl_node_prev (avl_tree_t *t, avl_node_t *n) } return (r); -} +} /* avl_node_t *avl_node_prev */ static int _remove (avl_tree_t *t, avl_node_t *n) { assert ((t != NULL) && (n != NULL)); + if ((n->left != NULL) && (n->right != NULL)) + { + avl_node_t *r; /* replacement node */ + if (BALANCE (n) > 0) /* left subtree is higher */ + { + assert (n->left != NULL); + r = avl_node_prev (t, n); + + } + else /* right subtree is higher */ + { + assert (n->right != NULL); + r = avl_node_next (t, n); + } + + assert ((r->left == NULL) || (r->right == NULL)); + + /* copy content */ + n->key = r->key; + n->value = r->value; + + n = r; + } + + assert ((n->left == NULL) || (n->right == NULL)); + if ((n->left == NULL) && (n->right == NULL)) { /* Deleting a leave is easy */ @@ -308,23 +403,59 @@ static int _remove (avl_tree_t *t, avl_node_t *n) free_node (n); } - else + else if (n->left == NULL) { - avl_node_t *r; /* replacement node */ - if (BALANCE (n) < 0) + assert (BALANCE (n) == -1); + assert ((n->parent == NULL) || (n->parent->left == n) || (n->parent->right == n)); + if (n->parent == NULL) { - assert (n->left != NULL); - r = avl_node_prev (t, n); + assert (t->root == n); + t->root = n->right; + } + else if (n->parent->left == n) + { + n->parent->left = n->right; } else { - assert (n->right != NULL); - r = avl_node_next (t, n); + n->parent->right = n->right; } - n->key = r->key; - n->value = r->value; + n->right->parent = n->parent; + + if (n->parent != NULL) + rebalance (t, n->parent); + + n->right = NULL; + free_node (n); + } + else if (n->right == NULL) + { + assert (BALANCE (n) == 1); + assert ((n->parent == NULL) || (n->parent->left == n) || (n->parent->right == n)); + if (n->parent == NULL) + { + assert (t->root == n); + t->root = n->left; + } + else if (n->parent->left == n) + { + n->parent->left = n->left; + } + else + { + n->parent->right = n->left; + } + n->left->parent = n->parent; + + if (n->parent != NULL) + rebalance (t, n->parent); - _remove (t, r); + n->left = NULL; + free_node (n); + } + else + { + assert (0); } return (0); @@ -337,6 +468,9 @@ avl_tree_t *avl_create (int (*compare) (const void *, const void *)) { avl_tree_t *t; + if (compare == NULL) + return (NULL); + if ((t = (avl_tree_t *) malloc (sizeof (avl_tree_t))) == NULL) return (NULL); @@ -390,7 +524,7 @@ int avl_insert (avl_tree_t *t, void *key, void *value) { nptr->right = new; new->parent = nptr; - nptr = NULL; + rebalance (t, nptr); break; } else @@ -405,7 +539,7 @@ int avl_insert (avl_tree_t *t, void *key, void *value) { nptr->left = new; new->parent = nptr; - nptr = NULL; + rebalance (t, nptr); break; } else @@ -415,16 +549,14 @@ int avl_insert (avl_tree_t *t, void *key, void *value) } } /* while (42) */ - assert ((new->parent != NULL) - && ((new->parent->left == new) - || (new->parent->right == new))); - + verify_tree (t->root); return (0); } /* int avl_insert */ -int avl_remove (avl_tree_t *t, void *key, void **rkey, void **rvalue) +int avl_remove (avl_tree_t *t, const void *key, void **rkey, void **rvalue) { avl_node_t *n; + int status; assert (t != NULL); @@ -437,7 +569,9 @@ int avl_remove (avl_tree_t *t, void *key, void **rkey, void **rvalue) if (rvalue != NULL) *rvalue = n->value; - return (_remove (t, n)); + status = _remove (t, n); + verify_tree (t->root); + return (status); } /* void *avl_remove */ int avl_get (avl_tree_t *t, const void *key, void **value) @@ -455,53 +589,118 @@ int avl_get (avl_tree_t *t, const void *key, void **value) return (0); } -avl_iterator_t *avl_get_iterator (avl_tree_t *t) +int avl_pick (avl_tree_t *t, void **key, void **value) { avl_node_t *n; + avl_node_t *p; + + if ((key == NULL) || (value == NULL)) + return (-1); + if (t->root == NULL) + return (-1); + + n = t->root; + while ((n->left != NULL) || (n->right != NULL)) + { + int height_left = (n->left == NULL) ? 0 : n->left->height; + int height_right = (n->right == NULL) ? 0 : n->right->height; + + if (height_left > height_right) + n = n->left; + else + n = n->right; + } + + p = n->parent; + if (p == NULL) + t->root = NULL; + else if (p->left == n) + p->left = NULL; + else + p->right = NULL; + + *key = n->key; + *value = n->value; + + free_node (n); + rebalance (t, p); + + return (0); +} /* int avl_pick */ + +avl_iterator_t *avl_get_iterator (avl_tree_t *t) +{ + avl_iterator_t *iter; if (t == NULL) return (NULL); - for (n = t->root; n != NULL; n = n->left) - if (n->left == NULL) - break; + iter = (avl_iterator_t *) malloc (sizeof (avl_iterator_t)); + if (iter == NULL) + return (NULL); + memset (iter, '\0', sizeof (avl_iterator_t)); + iter->tree = t; - return (avl_create_iterator (t, n)); + return (iter); } /* avl_iterator_t *avl_get_iterator */ -void *avl_iterator_next (avl_iterator_t *iter) +int avl_iterator_next (avl_iterator_t *iter, void **key, void **value) { avl_node_t *n; - if ((iter == NULL) || (iter->node == NULL)) - return (NULL); + if ((iter == NULL) || (key == NULL) || (value == NULL)) + return (-1); - n = avl_node_next (iter->tree, iter->node); + if (iter->node == NULL) + { + for (n = iter->tree->root; n != NULL; n = n->left) + if (n->left == NULL) + break; + iter->node = n; + } + else + { + n = avl_node_next (iter->tree, iter->node); + } if (n == NULL) - return (NULL); + return (-1); iter->node = n; - return (n); + *key = n->key; + *value = n->value; -} + return (0); +} /* int avl_iterator_next */ -void *avl_iterator_prev (avl_iterator_t *iter) +int avl_iterator_prev (avl_iterator_t *iter, void **key, void **value) { avl_node_t *n; - if ((iter == NULL) || (iter->node == NULL)) - return (NULL); + if ((iter == NULL) || (key == NULL) || (value == NULL)) + return (-1); - n = avl_node_prev (iter->tree, iter->node); + if (iter->node == NULL) + { + for (n = iter->tree->root; n != NULL; n = n->left) + if (n->right == NULL) + break; + iter->node = n; + } + else + { + n = avl_node_prev (iter->tree, iter->node); + } if (n == NULL) - return (NULL); + return (-1); iter->node = n; - return (n); + *key = n->key; + *value = n->value; -} + return (0); +} /* int avl_iterator_prev */ void avl_iterator_destroy (avl_iterator_t *iter) {