sandbox: btree: add macros to define custom btree inserter
tree keys are no longer stored in btree_node_t. The tree user is responsible for defining their own node type that includes btree_node_t, and a comparator for the nodes.
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@@ -4,14 +4,6 @@
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#include <stdio.h>
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#include <assert.h>
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#define BTREE_VERBOSE
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#ifdef BTREE_VERBOSE
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#define debug_msg(...) printf(__VA_ARGS__)
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#else
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#define debug_msg(...)
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#endif
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#define MAX(a, b) ((a) > (b) ? (a) : (b))
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#define MIN(a, b) ((a) < (b) ? (a) : (b))
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@@ -27,8 +19,6 @@
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#define HEIGHT(x) ((x) ? (x)->b_height : 0)
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extern void btree_print(btree_node_t *, int);
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static inline void update_height(btree_node_t *x)
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{
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x->b_height = MAX(HEIGHT(x->b_left), HEIGHT((x->b_right))) + 1;
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@@ -65,8 +55,6 @@ static void rotate_left(btree_t *tree, btree_node_t *x)
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assert(x == x->b_parent->b_left || x == x->b_parent->b_right);
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}
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debug_msg(" rotate_left(x: %llu, y: %llu)\n", x->b_key, y->b_key);
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btree_node_t *p = x->b_parent;
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if (y->b_left) {
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@@ -78,10 +66,8 @@ static void rotate_left(btree_t *tree, btree_node_t *x)
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if (!p) {
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tree->b_root = y;
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} else if (x == p->b_left) {
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debug_msg(" %llu->left was %llu, now %llu\n", p->b_key, p->b_left->b_key, y->b_key);
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p->b_left = y;
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} else {
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debug_msg(" %llu->right was %llu, now %llu\n", p->b_key, p->b_right->b_key, y->b_key);
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p->b_right = y;
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}
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@@ -110,8 +96,6 @@ static void rotate_right(btree_t *tree, btree_node_t *y)
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assert(y == y->b_parent->b_left || y == y->b_parent->b_right);
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}
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debug_msg(" rotate_right(y: %llu, x: %llu)\n", y->b_key, x->b_key);
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btree_node_t *p = y->b_parent;
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if (x->b_right) {
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@@ -123,10 +107,8 @@ static void rotate_right(btree_t *tree, btree_node_t *y)
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if (!p) {
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tree->b_root = x;
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} else if (y == p->b_left) {
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debug_msg(" %llu->left was %llu, now %llu\n", p->b_key, p->b_left->b_key, x->b_key);
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p->b_left = x;
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} else {
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debug_msg(" %llu->right was %llu, now %llu\n", p->b_key, p->b_right->b_key, x->b_key);
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p->b_right = x;
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}
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@@ -139,13 +121,10 @@ static void rotate_double_left(btree_t *tree, btree_node_t *z)
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{
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btree_node_t *x = z->b_right;
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btree_node_t *y = x->b_left;
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debug_msg("rotate_double_left(z: %llu, x: %llu, y: %llu) {\n", z->b_key, x->b_key, y->b_key);
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rotate_right(tree, x);
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rotate_left(tree, z);
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debug_msg("}\n");
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update_height(z);
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update_height(x);
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@@ -159,13 +138,10 @@ static void rotate_double_right(btree_t *tree, btree_node_t *z)
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{
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btree_node_t *x = z->b_left;
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btree_node_t *y = x->b_right;
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debug_msg("rotate_double_right(z: %llu, x: %llu, y: %llu) {\n", z->b_key, x->b_key, y->b_key);
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rotate_left(tree, x);
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rotate_right(tree, z);
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debug_msg("}\n");
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update_height(z);
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update_height(x);
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@@ -216,15 +192,11 @@ next_ancestor:
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static void delete_fixup(btree_t *tree, btree_node_t *w)
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{
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printf("delete_fixup(%llu)\n", w->b_key);
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btree_node_t *z = w;
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int nr_rotations = 0;
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while (z) {
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printf("bf(z)=%d\n", bf(z));
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printf("bf(z->b_left)=%d\n", bf(z->b_left));
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if (bf(z) > 1) {
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if (bf(z->b_right) >= 0) {
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rotate_left(tree, z);
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@@ -246,10 +218,22 @@ static void delete_fixup(btree_t *tree, btree_node_t *w)
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}
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}
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void btree_insert_fixup(btree_t *tree, btree_node_t *node)
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{
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node->b_height = 0;
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btree_node_t *cur = node;
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while (cur) {
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update_height(cur);
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cur = cur->b_parent;
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}
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insert_fixup(tree, node);
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}
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#if 0
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void btree_insert(btree_t *tree, btree_node_t *node)
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{
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node->b_owner = tree;
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if (!tree->b_root) {
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tree->b_root = node;
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node->b_parent = NULL;
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@@ -262,7 +246,6 @@ void btree_insert(btree_t *tree, btree_node_t *node)
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btree_node_t **nextp = NULL;
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if (node->b_key == cur->b_key) {
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node->b_owner = NULL;
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return;
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}
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@@ -289,18 +272,12 @@ void btree_insert(btree_t *tree, btree_node_t *node)
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cur = cur->b_parent;
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}
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#if 0
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printf("##### TREE POST-INSERT, PRE-FIXUP ##############\n");
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btree_print(tree->b_root, 0);
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printf("################################################\n");
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#endif
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insert_fixup(tree, node);
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}
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#endif
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static btree_node_t *remove_node_with_no_children(btree_t *tree, btree_node_t *node)
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{
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debug_msg("remove_node_with_no_children(%llu)\n", node->b_key);
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btree_node_t *w = node->b_parent;
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btree_node_t *p = node->b_parent;
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node->b_parent = NULL;
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@@ -323,7 +300,6 @@ static btree_node_t *remove_node_with_no_children(btree_t *tree, btree_node_t *n
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static btree_node_t *replace_node_with_one_subtree(btree_t *tree, btree_node_t *node)
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{
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debug_msg("remove_node_with_one_subtree()\n");
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btree_node_t *p = node->b_parent;
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btree_node_t *z = NULL;
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@@ -357,8 +333,6 @@ static btree_node_t *replace_node_with_one_subtree(btree_t *tree, btree_node_t *
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static btree_node_t *replace_node_with_two_subtrees(btree_t *tree, btree_node_t *z)
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{
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debug_msg("remove_node_with_two_subtrees()\n");
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/* x will replace z */
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btree_node_t *x = z->b_left;
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@@ -417,17 +391,11 @@ static btree_node_t *replace_node_with_two_subtrees(btree_t *tree, btree_node_t
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cur = cur->b_parent;
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}
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printf("w=%llu, h:%u\n", w->b_key, w->b_height);
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return w;
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}
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void btree_delete(btree_t *tree, btree_node_t *node)
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{
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if (!node->b_owner) {
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return;
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}
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assert(node->b_owner == tree);
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btree_node_t *w = NULL;
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if (HAS_NO_CHILDREN(node)) {
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@@ -438,8 +406,6 @@ void btree_delete(btree_t *tree, btree_node_t *node)
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w = replace_node_with_two_subtrees(tree, node);
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}
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btree_print(tree->b_root, 0);
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if (w) {
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delete_fixup(tree, w);
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}
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@@ -3,22 +3,127 @@
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#include <stdint.h>
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typedef uint64_t btree_key_t;
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#define BTREE_CONTAINER(t, m, v) ((void *)((v) ? (uintptr_t)(v) - (offsetof(t, m)) : 0))
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struct btree;
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#define BTREE_DEFINE_SIMPLE_INSERT(node_type, container_node_member, container_key_member, function_name) \
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static void function_name(btree_t *tree, node_type *node) \
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{ \
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if (!tree->b_root) { \
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tree->b_root = &node->container_node_member; \
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btree_insert_fixup(tree, &node->container_node_member); \
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return; \
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} \
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\
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btree_node_t *cur = tree->b_root; \
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while (1) { \
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node_type *cur_node = BTREE_CONTAINER(node_type, container_node_member, cur); \
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btree_node_t *next = NULL; \
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\
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if (node->container_key_member > cur_node->container_key_member) { \
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next = btree_right(cur); \
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\
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if (!next) { \
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btree_put_right(cur, &node->container_node_member); \
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break; \
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} \
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} else if (node->container_key_member < cur_node->container_key_member) { \
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next = btree_left(cur); \
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\
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if (!next) { \
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btree_put_left(cur, &node->container_node_member); \
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break; \
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} \
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} else { \
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return; \
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} \
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\
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cur = next; \
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} \
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\
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btree_insert_fixup(tree, &node->container_node_member); \
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}
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#define BTREE_DEFINE_INSERT(node_type, container_node_member, container_key_member, function_name, comparator) \
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static void function_name(btree_t *tree, node_type *node) \
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{ \
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if (!tree->b_root) { \
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tree->b_root = &node->container_node_member; \
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btree_insert_fixup(tree, &node->container_node_member); \
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return; \
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} \
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\
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btree_node_t *cur = tree->b_root; \
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while (1) { \
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node_type *cur_node = BTREE_CONTAINER(node_type, container_node_member, cur); \
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btree_node_t *next = NULL; \
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int cmp = comparator(node, cur_node); \
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\
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if (cmp == 1) { \
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next = btree_right(cur); \
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\
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if (!next) { \
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btree_put_right(cur, &node->container_node_member); \
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break; \
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} \
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} else if (cmp == -1) { \
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next = btree_left(cur); \
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\
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if (!next) { \
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btree_put_left(cur, &node->container_node_member); \
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break; \
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} \
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} else { \
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return; \
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} \
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\
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cur = next; \
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} \
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\
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btree_insert_fixup(tree, &node->container_node_member); \
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}
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typedef struct btree_node {
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struct btree_node *b_parent, *b_left, *b_right;
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unsigned short b_height;
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btree_key_t b_key;
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struct btree *b_owner;
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} btree_node_t;
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typedef struct btree {
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struct btree_node *b_root;
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} btree_t;
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extern void btree_insert(btree_t *tree, btree_node_t *node);
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extern void btree_insert_fixup(btree_t *tree, btree_node_t *node);
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extern void btree_delete(btree_t *tree, btree_node_t *node);
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static inline void btree_put_left(btree_node_t *parent, btree_node_t *child)
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{
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parent->b_left = child;
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child->b_parent = parent;
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}
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static inline void btree_put_right(btree_node_t *parent, btree_node_t *child)
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{
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parent->b_right = child;
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child->b_parent = parent;
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}
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static inline btree_node_t *btree_left(btree_node_t *node)
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{
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return node->b_left;
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}
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static inline btree_node_t *btree_right(btree_node_t *node)
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{
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return node->b_right;
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}
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static inline btree_node_t *btree_parent(btree_node_t *node)
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{
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return node->b_parent;
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}
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static inline unsigned short btree_height(btree_node_t *node)
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{
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return node->b_height;
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}
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#endif
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