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Diffstat (limited to 'src/zix/tree.c')
-rw-r--r-- | src/zix/tree.c | 716 |
1 files changed, 0 insertions, 716 deletions
diff --git a/src/zix/tree.c b/src/zix/tree.c deleted file mode 100644 index 23a7e8c..0000000 --- a/src/zix/tree.c +++ /dev/null @@ -1,716 +0,0 @@ -/* - Copyright 2011-2014 David Robillard <http://drobilla.net> - - Permission to use, copy, modify, and/or distribute this software for any - purpose with or without fee is hereby granted, provided that the above - copyright notice and this permission notice appear in all copies. - - THIS SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES - WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF - MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR - ANY SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES - WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN - ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF - OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE. -*/ - -#include <assert.h> -#include <stdint.h> -#include <stdio.h> -#include <stdlib.h> -#include <string.h> - -#include "zix/common.h" -#include "zix/tree.h" - -typedef struct ZixTreeNodeImpl ZixTreeNode; - -struct ZixTreeImpl { - ZixTreeNode* root; - ZixDestroyFunc destroy; - ZixComparator cmp; - void* cmp_data; - size_t size; - bool allow_duplicates; -}; - -struct ZixTreeNodeImpl { - void* data; - struct ZixTreeNodeImpl* left; - struct ZixTreeNodeImpl* right; - struct ZixTreeNodeImpl* parent; - int_fast8_t balance; -}; - -#define MIN(a, b) (((a) < (b)) ? (a) : (b)) -#define MAX(a, b) (((a) > (b)) ? (a) : (b)) - -// Uncomment these for debugging features -// #define ZIX_TREE_DUMP 1 -// #define ZIX_TREE_VERIFY 1 -// #define ZIX_TREE_HYPER_VERIFY 1 - -#if defined(ZIX_TREE_VERIFY) || defined(ZIX_TREE_HYPER_VERIFY) -# include "tree_debug.h" -# define ASSERT_BALANCE(n) assert(verify_balance(n)) -#else -# define ASSERT_BALANCE(n) -#endif - -#ifdef ZIX_TREE_DUMP -# include "tree_debug.h" -# define DUMP(t) zix_tree_print(t->root, 0) -# define DEBUG_PRINTF(fmt, ...) printf(fmt, __VA_ARGS__) -#else -# define DUMP(t) -# define DEBUG_PRINTF(fmt, ...) -#endif - -ZIX_API ZixTree* -zix_tree_new(bool allow_duplicates, - ZixComparator cmp, - void* cmp_data, - ZixDestroyFunc destroy) -{ - ZixTree* t = (ZixTree*)malloc(sizeof(ZixTree)); - t->root = NULL; - t->destroy = destroy; - t->cmp = cmp; - t->cmp_data = cmp_data; - t->size = 0; - t->allow_duplicates = allow_duplicates; - return t; -} - -ZIX_PRIVATE void -zix_tree_free_rec(ZixTree* t, ZixTreeNode* n) -{ - if (n) { - zix_tree_free_rec(t, n->left); - zix_tree_free_rec(t, n->right); - if (t->destroy) { - t->destroy(n->data); - } - free(n); - } -} - -ZIX_API void -zix_tree_free(ZixTree* t) -{ - if (t) { - zix_tree_free_rec(t, t->root); - free(t); - } -} - -ZIX_API size_t -zix_tree_size(const ZixTree* t) -{ - return t->size; -} - -ZIX_PRIVATE void -rotate(ZixTreeNode* p, ZixTreeNode* q) -{ - assert(q->parent == p); - assert(p->left == q || p->right == q); - - q->parent = p->parent; - if (q->parent) { - if (q->parent->left == p) { - q->parent->left = q; - } else { - q->parent->right = q; - } - } - - if (p->right == q) { - // Rotate left - p->right = q->left; - q->left = p; - if (p->right) { - p->right->parent = p; - } - } else { - // Rotate right - assert(p->left == q); - p->left = q->right; - q->right = p; - if (p->left) { - p->left->parent = p; - } - } - - p->parent = q; -} - -/** - * Rotate left about `p`. - * - * p q - * / \ / \ - * A q => p C - * / \ / \ - * B C A B - */ -ZIX_PRIVATE ZixTreeNode* -rotate_left(ZixTreeNode* p, int* height_change) -{ - ZixTreeNode* const q = p->right; - *height_change = (q->balance == 0) ? 0 : -1; - - DEBUG_PRINTF("LL %ld\n", (intptr_t)p->data); - - assert(p->balance == 2); - assert(q->balance == 0 || q->balance == 1); - - rotate(p, q); - - // p->balance -= 1 + MAX(0, q->balance); - // q->balance -= 1 - MIN(0, p->balance); - --q->balance; - p->balance = -(q->balance); - - ASSERT_BALANCE(p); - ASSERT_BALANCE(q); - return q; -} - -/** - * Rotate right about `p`. - * - * p q - * / \ / \ - * q C => A p - * / \ / \ - * A B B C - * - */ -ZIX_PRIVATE ZixTreeNode* -rotate_right(ZixTreeNode* p, int* height_change) -{ - ZixTreeNode* const q = p->left; - *height_change = (q->balance == 0) ? 0 : -1; - - DEBUG_PRINTF("RR %ld\n", (intptr_t)p->data); - - assert(p->balance == -2); - assert(q->balance == 0 || q->balance == -1); - - rotate(p, q); - - // p->balance += 1 - MIN(0, q->balance); - // q->balance += 1 + MAX(0, p->balance); - ++q->balance; - p->balance = -(q->balance); - - ASSERT_BALANCE(p); - ASSERT_BALANCE(q); - return q; -} - -/** - * Rotate left about `p->left` then right about `p`. - * - * p r - * / \ / \ - * q D => q p - * / \ / \ / \ - * A r A B C D - * / \ - * B C - * - */ -ZIX_PRIVATE ZixTreeNode* -rotate_left_right(ZixTreeNode* p, int* height_change) -{ - ZixTreeNode* const q = p->left; - ZixTreeNode* const r = q->right; - - assert(p->balance == -2); - assert(q->balance == 1); - assert(r->balance == -1 || r->balance == 0 || r->balance == 1); - - DEBUG_PRINTF("LR %ld P: %2d Q: %2d R: %2d\n", - (intptr_t)p->data, p->balance, q->balance, r->balance); - - rotate(q, r); - rotate(p, r); - - q->balance -= 1 + MAX(0, r->balance); - p->balance += 1 - MIN(MIN(0, r->balance) - 1, r->balance + q->balance); - // r->balance += MAX(0, p->balance) + MIN(0, q->balance); - - // p->balance = (p->left && p->right) ? -MIN(r->balance, 0) : 0; - // q->balance = - MAX(r->balance, 0); - r->balance = 0; - - *height_change = -1; - - ASSERT_BALANCE(p); - ASSERT_BALANCE(q); - ASSERT_BALANCE(r); - return r; -} - -/** - * Rotate right about `p->right` then right about `p`. - * - * p r - * / \ / \ - * A q => p q - * / \ / \ / \ - * r D A B C D - * / \ - * B C - * - */ -ZIX_PRIVATE ZixTreeNode* -rotate_right_left(ZixTreeNode* p, int* height_change) -{ - ZixTreeNode* const q = p->right; - ZixTreeNode* const r = q->left; - - assert(p->balance == 2); - assert(q->balance == -1); - assert(r->balance == -1 || r->balance == 0 || r->balance == 1); - - DEBUG_PRINTF("RL %ld P: %2d Q: %2d R: %2d\n", - (intptr_t)p->data, p->balance, q->balance, r->balance); - - rotate(q, r); - rotate(p, r); - - q->balance += 1 - MIN(0, r->balance); - p->balance -= 1 + MAX(MAX(0, r->balance) + 1, r->balance + q->balance); - // r->balance += MAX(0, q->balance) + MIN(0, p->balance); - - // p->balance = (p->left && p->right) ? -MAX(r->balance, 0) : 0; - // q->balance = - MIN(r->balance, 0); - r->balance = 0; - // assert(r->balance == 0); - - *height_change = -1; - - ASSERT_BALANCE(p); - ASSERT_BALANCE(q); - ASSERT_BALANCE(r); - return r; -} - -ZIX_PRIVATE ZixTreeNode* -zix_tree_rebalance(ZixTree* t, ZixTreeNode* node, int* height_change) -{ -#ifdef ZIX_TREE_HYPER_VERIFY - const size_t old_height = height(node); -#endif - DEBUG_PRINTF("REBALANCE %ld (%d)\n", (intptr_t)node->data, node->balance); - *height_change = 0; - const bool is_root = !node->parent; - assert((is_root && t->root == node) || (!is_root && t->root != node)); - ZixTreeNode* replacement = node; - if (node->balance == -2) { - assert(node->left); - if (node->left->balance == 1) { - replacement = rotate_left_right(node, height_change); - } else { - replacement = rotate_right(node, height_change); - } - } else if (node->balance == 2) { - assert(node->right); - if (node->right->balance == -1) { - replacement = rotate_right_left(node, height_change); - } else { - replacement = rotate_left(node, height_change); - } - } - if (is_root) { - assert(!replacement->parent); - t->root = replacement; - } - DUMP(t); -#ifdef ZIX_TREE_HYPER_VERIFY - assert(old_height + *height_change == height(replacement)); -#endif - return replacement; -} - -ZIX_API ZixStatus -zix_tree_insert(ZixTree* t, void* e, ZixTreeIter** ti) -{ - DEBUG_PRINTF("**** INSERT %ld\n", (intptr_t)e); - int cmp = 0; - ZixTreeNode* n = t->root; - ZixTreeNode* p = NULL; - - // Find the parent p of e - while (n) { - p = n; - cmp = t->cmp(e, n->data, t->cmp_data); - if (cmp < 0) { - n = n->left; - } else if (cmp > 0) { - n = n->right; - } else if (t->allow_duplicates) { - n = n->right; - } else { - if (ti) { - *ti = n; - } - DEBUG_PRINTF("%ld EXISTS!\n", (intptr_t)e); - return ZIX_STATUS_EXISTS; - } - } - - // Allocate a new node n - if (!(n = (ZixTreeNode*)malloc(sizeof(ZixTreeNode)))) { - return ZIX_STATUS_NO_MEM; - } - memset(n, '\0', sizeof(ZixTreeNode)); - n->data = e; - n->balance = 0; - if (ti) { - *ti = n; - } - - bool p_height_increased = false; - - // Make p the parent of n - n->parent = p; - if (!p) { - t->root = n; - } else { - if (cmp < 0) { - assert(!p->left); - assert(p->balance == 0 || p->balance == 1); - p->left = n; - --p->balance; - p_height_increased = !p->right; - } else { - assert(!p->right); - assert(p->balance == 0 || p->balance == -1); - p->right = n; - ++p->balance; - p_height_increased = !p->left; - } - } - - DUMP(t); - - // Rebalance if necessary (at most 1 rotation) - assert(!p || p->balance == -1 || p->balance == 0 || p->balance == 1); - if (p && p_height_increased) { - int height_change = 0; - for (ZixTreeNode* i = p; i && i->parent; i = i->parent) { - if (i == i->parent->left) { - if (--i->parent->balance == -2) { - zix_tree_rebalance(t, i->parent, &height_change); - break; - } - } else { - assert(i == i->parent->right); - if (++i->parent->balance == 2) { - zix_tree_rebalance(t, i->parent, &height_change); - break; - } - } - - if (i->parent->balance == 0) { - break; - } - } - } - - DUMP(t); - - ++t->size; - -#ifdef ZIX_TREE_VERIFY - if (!verify(t, t->root)) { - return ZIX_STATUS_ERROR; - } -#endif - - return ZIX_STATUS_SUCCESS; -} - -ZIX_API ZixStatus -zix_tree_remove(ZixTree* t, ZixTreeIter* ti) -{ - ZixTreeNode* const n = ti; - ZixTreeNode** pp = NULL; // parent pointer - ZixTreeNode* to_balance = n->parent; // lowest node to balance - int8_t d_balance = 0; // delta(balance) for n->parent - - DEBUG_PRINTF("*** REMOVE %ld\n", (intptr_t)n->data); - - if ((n == t->root) && !n->left && !n->right) { - t->root = NULL; - if (t->destroy) { - t->destroy(n->data); - } - free(n); - --t->size; - assert(t->size == 0); - return ZIX_STATUS_SUCCESS; - } - - // Set pp to the parent pointer to n, if applicable - if (n->parent) { - assert(n->parent->left == n || n->parent->right == n); - if (n->parent->left == n) { // n is left child - pp = &n->parent->left; - d_balance = 1; - } else { // n is right child - assert(n->parent->right == n); - pp = &n->parent->right; - d_balance = -1; - } - } - - assert(!pp || *pp == n); - - int height_change = 0; - if (!n->left && !n->right) { - // n is a leaf, just remove it - if (pp) { - *pp = NULL; - to_balance = n->parent; - height_change = (!n->parent->left && !n->parent->right) ? -1 : 0; - } - } else if (!n->left) { - // Replace n with right (only) child - if (pp) { - *pp = n->right; - to_balance = n->parent; - } else { - t->root = n->right; - } - n->right->parent = n->parent; - height_change = -1; - } else if (!n->right) { - // Replace n with left (only) child - if (pp) { - *pp = n->left; - to_balance = n->parent; - } else { - t->root = n->left; - } - n->left->parent = n->parent; - height_change = -1; - } else { - // Replace n with in-order successor (leftmost child of right subtree) - ZixTreeNode* replace = n->right; - while (replace->left) { - assert(replace->left->parent == replace); - replace = replace->left; - } - - // Remove replace from parent (replace_p) - if (replace->parent->left == replace) { - height_change = replace->parent->right ? 0 : -1; - d_balance = 1; - to_balance = replace->parent; - replace->parent->left = replace->right; - } else { - assert(replace->parent == n); - height_change = replace->parent->left ? 0 : -1; - d_balance = -1; - to_balance = replace->parent; - replace->parent->right = replace->right; - } - - if (to_balance == n) { - to_balance = replace; - } - - if (replace->right) { - replace->right->parent = replace->parent; - } - - replace->balance = n->balance; - - // Swap node to delete with replace - if (pp) { - *pp = replace; - } else { - assert(t->root == n); - t->root = replace; - } - replace->parent = n->parent; - replace->left = n->left; - n->left->parent = replace; - replace->right = n->right; - if (n->right) { - n->right->parent = replace; - } - - assert(!replace->parent - || replace->parent->left == replace - || replace->parent->right == replace); - } - - // Rebalance starting at to_balance upwards. - for (ZixTreeNode* i = to_balance; i; i = i->parent) { - i->balance += d_balance; - if (d_balance == 0 || i->balance == -1 || i->balance == 1) { - break; - } - - assert(i != n); - i = zix_tree_rebalance(t, i, &height_change); - if (i->balance == 0) { - height_change = -1; - } - - if (i->parent) { - if (i == i->parent->left) { - d_balance = height_change * -1; - } else { - assert(i == i->parent->right); - d_balance = height_change; - } - } - } - - DUMP(t); - - if (t->destroy) { - t->destroy(n->data); - } - free(n); - - --t->size; - -#ifdef ZIX_TREE_VERIFY - if (!verify(t, t->root)) { - return ZIX_STATUS_ERROR; - } -#endif - - return ZIX_STATUS_SUCCESS; -} - -ZIX_API ZixStatus -zix_tree_find(const ZixTree* t, const void* e, ZixTreeIter** ti) -{ - ZixTreeNode* n = t->root; - while (n) { - const int cmp = t->cmp(e, n->data, t->cmp_data); - if (cmp == 0) { - break; - } else if (cmp < 0) { - n = n->left; - } else { - n = n->right; - } - } - - *ti = n; - return (n) ? ZIX_STATUS_SUCCESS : ZIX_STATUS_NOT_FOUND; -} - -ZIX_API void* -zix_tree_get(ZixTreeIter* ti) -{ - return ti ? ti->data : NULL; -} - -ZIX_API ZixTreeIter* -zix_tree_begin(ZixTree* t) -{ - if (!t->root) { - return NULL; - } - - ZixTreeNode* n = t->root; - while (n->left) { - n = n->left; - } - return n; -} - -ZIX_API ZixTreeIter* -zix_tree_end(ZixTree* t) -{ - return NULL; -} - -ZIX_API ZixTreeIter* -zix_tree_rbegin(ZixTree* t) -{ - if (!t->root) { - return NULL; - } - - ZixTreeNode* n = t->root; - while (n->right) { - n = n->right; - } - return n; -} - -ZIX_API ZixTreeIter* -zix_tree_rend(ZixTree* t) -{ - return NULL; -} - -ZIX_API bool -zix_tree_iter_is_end(ZixTreeIter* i) -{ - return !i; -} - -ZIX_API bool -zix_tree_iter_is_rend(ZixTreeIter* i) -{ - return !i; -} - -ZIX_API ZixTreeIter* -zix_tree_iter_next(ZixTreeIter* i) -{ - if (!i) { - return NULL; - } - - if (i->right) { - i = i->right; - while (i->left) { - i = i->left; - } - } else { - while (i->parent && i->parent->right == i) { // i is a right child - i = i->parent; - } - - i = i->parent; - } - - return i; -} - -ZIX_API ZixTreeIter* -zix_tree_iter_prev(ZixTreeIter* i) -{ - if (!i) { - return NULL; - } - - if (i->left) { - i = i->left; - while (i->right) { - i = i->right; - } - } else { - while (i->parent && i->parent->left == i) { // i is a left child - i = i->parent; - } - - i = i->parent; - } - - return i; -} |