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author | David Robillard <d@drobilla.net> | 2011-09-28 21:31:44 +0000 |
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committer | David Robillard <d@drobilla.net> | 2011-09-28 21:31:44 +0000 |
commit | db7df61c02f28a86ebf496436d34a2d327c3ae30 (patch) | |
tree | 961b0f00f87155c03e50ff78ccc6518676fabaed /src/zix/tree.c | |
parent | 84ad1bf1317992127aac405feedbfd68c7be6697 (diff) | |
download | sord-db7df61c02f28a86ebf496436d34a2d327c3ae30.tar.gz sord-db7df61c02f28a86ebf496436d34a2d327c3ae30.tar.bz2 sord-db7df61c02f28a86ebf496436d34a2d327c3ae30.zip |
Remove glib dependency
git-svn-id: http://svn.drobilla.net/sord/trunk@163 3d64ff67-21c5-427c-a301-fe4f08042e5a
Diffstat (limited to 'src/zix/tree.c')
-rw-r--r-- | src/zix/tree.c | 590 |
1 files changed, 590 insertions, 0 deletions
diff --git a/src/zix/tree.c b/src/zix/tree.c new file mode 100644 index 0000000..30ac3e2 --- /dev/null +++ b/src/zix/tree.c @@ -0,0 +1,590 @@ +/* + Copyright 2011 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 <inttypes.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; + ZixComparator cmp; + void* cmp_data; + 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)) + +ZIX_API +ZixTree* +zix_tree_new(bool allow_duplicates, ZixComparator cmp, void* cmp_data) +{ + ZixTree* t = malloc(sizeof(ZixTree)); + t->root = NULL; + t->cmp = cmp; + t->cmp_data = cmp_data; + t->allow_duplicates = allow_duplicates; + return t; +} + +static void +zix_tree_free_rec(ZixTreeNode* n) +{ + if (n) { + zix_tree_free_rec(n->left); + zix_tree_free_rec(n->right); + free(n); + } +} + +ZIX_API +void +zix_tree_free(ZixTree* t) +{ + zix_tree_free_rec(t->root); + + free(t); +} + +static 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 @a p. + * + * p q + * / \ / \ + * A q => p C + * / \ / \ + * B C A B + */ +static ZixTreeNode* +rotate_left(ZixTreeNode* p, int* height_change) +{ + ZixTreeNode* const q = p->right; + *height_change = (q->balance == 0) ? 0 : -1; + + assert(p->balance == 2); + assert(q->balance == 0 || q->balance == 1); + + rotate(p, q); + + --q->balance; + p->balance = -(q->balance); + + return q; +} + +/** + * Rotate right about @a p. + * + * p q + * / \ / \ + * q C => A p + * / \ / \ + * A B B C + * + */ +static ZixTreeNode* +rotate_right(ZixTreeNode* p, int* height_change) +{ + ZixTreeNode* const q = p->left; + *height_change = (q->balance == 0) ? 0 : -1; + + assert(p->balance == -2); + assert(q->balance == 0 || q->balance == -1); + + rotate(p, q); + + ++q->balance; + p->balance = -(q->balance); + + return q; +} + +/** + * Rotate left about @a p->left then right about @a p. + * + * p r + * / \ / \ + * q D => q p + * / \ / \ / \ + * A r A B C D + * / \ + * B C + * + */ +static 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); + + 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 = 0; + + *height_change = -1; + + return r; +} + +/** + * Rotate right about @a p->right then right about @a p. + * + * p r + * / \ / \ + * A q => p q + * / \ / \ / \ + * r D A B C D + * / \ + * B C + * + */ +static 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); + + 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 = 0; + + *height_change = -1; + + return r; +} + +static ZixTreeNode* +zix_tree_rebalance(ZixTree* t, ZixTreeNode* node, int* height_change) +{ + *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; + } + + return replacement; +} + +ZIX_API +ZixStatus +zix_tree_insert(ZixTree* t, void* e, ZixTreeIter** ti) +{ + 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; + } + return ZIX_STATUS_EXISTS; + } + } + + // Allocate a new node n + if (!(n = 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; + } + } + + // 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; + } + } + } + + 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 + + if ((n == t->root) && !n->left && !n->right) { + t->root = NULL; + free(n); + 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; + } + } + } + + free(n); + + 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->data; +} + +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 +bool +zix_tree_iter_is_end(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; +} |