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|
// SPDX-License-Identifier: LGPL-2.1 OR BSD-2-Clause
/*
* Copyright (c) 2025-2026 Meta Platforms, Inc. and affiliates.
* Copyright (c) 2025-2026 Emil Tsalapatis <emil@etsalapatis.com>
*/
#include <libarena/common.h>
#include <libarena/asan.h>
#include <libarena/rbtree.h>
int rb_integrity_check(struct rbtree __arena *rbtree);
void rbnode_print(size_t depth, struct rbnode __arena *rbn);
static int rbnode_replace(struct rbtree __arena *rbtree,
struct rbnode __arena *existing,
struct rbnode __arena *replacement);
struct rbtree __arena *rb_create(enum rbtree_alloc alloc,
enum rbtree_insert_mode insert)
{
struct rbtree __arena *rbtree;
rbtree = arena_malloc(sizeof(*rbtree));
if (unlikely(!rbtree))
return NULL;
/*
* RB_UPDATE overwrites existing values in the nodes, but RB_NOALLOC
* trees manage the tree nodes directly (including holding pointers
* to them). Disallow mixing the two modes to avoid dealing with
* unintuitive semantics.
*/
if (alloc == RB_NOALLOC && insert == RB_UPDATE) {
arena_stderr("WARNING: Cannot combine RB_NOALLOC and RB_UPDATE");
arena_free(rbtree);
return NULL;
}
rbtree->alloc = alloc;
rbtree->insert = insert;
rbtree->root = NULL;
return rbtree;
}
__weak
int rb_destroy(struct rbtree __arena *rbtree)
{
int ret = 0;
arena_subprog_init();
if (unlikely(!rbtree))
return -EINVAL;
if (rbtree->alloc == RB_NOALLOC) {
/*
* We cannot do anything about RB_NOALLOC nodes. The whole
* point of RB_NOALLOC is that the nodes are directly owned
* by the caller that allocates and inserts them. We could
* unilaterally grab all nodes and free them anyway, but that
* would almost certainly cause UAF as the callers keep accessing
* the now freed nodes. Throw an error instead.
*/
if (rbtree->root) {
arena_stderr("WARNING: Destroying RB_NOALLOC tree with > 0 nodes");
return -EBUSY;
}
goto out;
}
while (rbtree->root && can_loop) {
ret = rb_remove(rbtree, rbtree->root->key);
if (ret)
break;
}
out:
arena_free(rbtree);
return ret;
}
static inline int rbnode_dir(struct rbnode __arena *node)
{
/* Arbitrarily choose a direction for the root. */
if (unlikely(!node->parent))
return 0;
return (node->parent->left == node) ? 0 : 1;
}
/*
* The __noinline is to prevent inlining from bloating the add
* remove calls, in turn causing register splits and increasing
* stack usage above what is permitted.
*/
__noinline
int rbnode_rotate(struct rbtree __arena *rbtree,
struct rbnode __arena *node, int dir)
{
struct rbnode __arena *tmp, *parent;
int parentdir;
parent = node->parent;
if (parent)
parentdir = rbnode_dir(node);
/* If we're doing a root change, are we the root? */
if (unlikely(!parent && rbtree->root != node))
return -EINVAL;
/*
* Does the node we're turning into the root into exist?
* Note that the new root is on the opposite side of the
* rotation's direction.
*/
tmp = node->child[1 - dir];
if (unlikely(!tmp))
return -EINVAL;
/* Steal the closest child of the new root. */
node->child[1 - dir] = tmp->child[dir];
if (node->child[1 - dir])
node->child[1 - dir]->parent = node;
/* Put the node below the new root.*/
tmp->child[dir] = node;
node->parent = tmp;
tmp->parent = parent;
if (parent)
parent->child[parentdir] = tmp;
else
rbtree->root = tmp;
return 0;
}
static
struct rbnode __arena *rbnode_find(struct rbnode __arena *subtree, u64 key)
{
struct rbnode __arena *node = subtree;
int dir;
if (!subtree)
return NULL;
while (can_loop) {
if (node->key == key)
break;
dir = (key < node->key) ? 0 : 1;
if (!node->child[dir])
break;
node = node->child[dir];
}
return node;
}
static
struct rbnode __arena *rbnode_least_upper_bound(struct rbnode __arena *subtree, uint64_t key)
{
struct rbnode __arena *node = subtree;
int dir;
if (!subtree)
return NULL;
while (can_loop) {
dir = (key <= node->key) ? 0 : 1;
if (!node->child[dir])
break;
node = node->child[dir];
}
return node;
}
__weak
int rb_find(struct rbtree __arena *rbtree, u64 key, u64 *value)
{
struct rbnode __arena *node;
if (unlikely(!rbtree))
return -EINVAL;
if (unlikely(!value))
return -EINVAL;
node = rbnode_find(rbtree->root, key);
if (!node || node->key != key)
return -ENOENT;
*value = node->value;
return 0;
}
__weak
struct rbnode __arena *rb_node_alloc(u64 key, u64 value)
{
struct rbnode __arena *rbnode = NULL;
rbnode = (struct rbnode __arena *)arena_malloc(sizeof(*rbnode));
if (!rbnode)
return NULL;
/*
* WARNING: The order of assignments is weird on purpose.
* See comment in rb_insert_node() for more context.
* TL;DR: Prevent consecutive 0 assignments from being
* promoted into an unverifiable memset by the compiler.
*/
rbnode->key = key;
rbnode->parent = NULL;
rbnode->value = value;
rbnode->left = NULL;
rbnode->is_red = true;
rbnode->right = NULL;
return rbnode;
}
__weak
void rb_node_free(struct rbnode __arena *rbnode)
{
arena_free(rbnode);
}
static
int rb_node_insert(struct rbtree __arena *rbtree,
struct rbnode __arena *node)
{
struct rbnode __arena *grandparent, *parent = rbtree->root;
u64 key = node->key;
struct rbnode __arena *uncle;
int dir;
int ret;
if (unlikely(!rbtree))
return -EINVAL;
if (!parent) {
rbtree->root = node;
return 0;
}
if (rbtree->insert != RB_DUPLICATE)
parent = rbnode_find(parent, key);
else
parent = rbnode_least_upper_bound(parent, key);
if (key == parent->key && rbtree->insert != RB_DUPLICATE) {
if (rbtree->insert == RB_UPDATE) {
/*
* Replace the old node with the new one.
* Free up the old node.
*/
ret = rbnode_replace(rbtree, parent, node);
if (ret)
return ret;
if (rbtree->alloc == RB_ALLOC)
rb_node_free(parent);
return 0;
}
/* Otherwise it's RB_DEFAULT. */
return -EALREADY;
}
node->parent = parent;
/* Also works if key == parent->key. */
if (key <= parent->key)
parent->left = node;
else
parent->right = node;
while (can_loop) {
parent = node->parent;
if (!parent)
return 0;
if (!parent->is_red)
return 0;
grandparent = parent->parent;
if (!grandparent) {
parent->is_red = false;
return 0;
}
dir = rbnode_dir(parent);
uncle = grandparent->child[1 - dir];
if (!uncle || !uncle->is_red) {
if (node == parent->child[1 - dir]) {
rbnode_rotate(rbtree, parent, dir);
node = parent;
parent = grandparent->child[dir];
}
rbnode_rotate(rbtree, grandparent, 1 - dir);
parent->is_red = false;
grandparent->is_red = true;
return 0;
}
/* Uncle is red. */
parent->is_red = false;
uncle->is_red = false;
grandparent->is_red = true;
node = grandparent;
}
return 0;
}
int rb_insert_node(struct rbtree __arena *rbtree,
struct rbnode __arena *node)
{
if (unlikely(!rbtree))
return -EINVAL;
if (unlikely(rbtree->alloc == RB_ALLOC))
return -EINVAL;
node->left = NULL;
/*
* Workaround to break an optimization that causes
* verification failures on some compilers. Assignments
* of the kind
*
* *(r0 + 0) = 0;
* *(r0 + 8) = 0;
* *(r0 + 16) = 0;
*
* get promoted into a memset, and that in turn is not
* handled properly for arena memory by LLVM 21 and GCC 15.
* Add a barrier for now to prevent the assignments from being fused.
*/
barrier();
node->parent = NULL;
node->right = NULL;
node->is_red = true;
return rb_node_insert(rbtree, node);
}
__weak
int rb_insert(struct rbtree __arena *rbtree, u64 key, u64 value)
{
struct rbnode __arena *node;
int ret;
if (unlikely(!rbtree))
return -EINVAL;
if (unlikely(rbtree->alloc != RB_ALLOC))
return -EINVAL;
node = rb_node_alloc(key, value);
if (!node)
return -ENOMEM;
ret = rb_node_insert(rbtree, node);
if (ret) {
rb_node_free(node);
return ret;
}
return 0;
}
static inline struct rbnode __arena *rbnode_least(struct rbnode __arena *subtree)
{
while (subtree->left && can_loop)
subtree = subtree->left;
return subtree;
}
__weak int rb_least(struct rbtree __arena *rbtree, u64 *key, u64 *value)
{
struct rbnode __arena *least;
if (unlikely(!rbtree))
return -EINVAL;
if (!rbtree->root)
return -ENOENT;
least = rbnode_least(rbtree->root);
if (key)
*key = least->key;
if (value)
*value = least->value;
return 0;
}
/*
* If we are referencing ourselves, a and b have a parent-child relation,
* and we should be pointing at the other node instead.
*/
static inline void rbnode_fixup_pointers(struct rbnode __arena *a,
struct rbnode __arena *b)
{
#define fixup(n1, n2, member) do { if (n1->member == n1) n1->member = n2; } while (0)
fixup(a, b, left);
fixup(a, b, right);
fixup(a, b, parent);
#undef fixup
}
static inline void rbnode_swap_values(struct rbnode __arena *a,
struct rbnode __arena *b)
{
#define swap(n1, n2, tmp) do { (tmp) = (n1); (n1) = (n2); (n2) = (tmp); } while (0)
struct rbnode __arena *tmpnode;
u64 tmp;
/* Swap the pointers. */
swap(a->is_red, b->is_red, tmp);
swap(a->left, b->left, tmpnode);
swap(a->right, b->right, tmpnode);
swap(a->parent, b->parent, tmpnode);
#undef swap
/* Account for the nodes being parent and child. */
rbnode_fixup_pointers(b, a);
rbnode_fixup_pointers(a, b);
}
static inline void rbnode_adjust_neighbors(struct rbtree __arena *rbtree,
struct rbnode __arena *node, int dir)
{
if (node->left)
node->left->parent = node;
if (node->right)
node->right->parent = node;
if (node->parent) {
node->parent->child[dir] = node;
return;
}
rbtree->root = node;
}
/*
* Directly replace an existing node with a replacement. The replacement node
* should not already be in the tree.
*/
static int rbnode_replace(struct rbtree __arena *rbtree,
struct rbnode __arena *existing,
struct rbnode __arena *replacement)
{
int dir = 0;
if (unlikely(replacement->parent || replacement->left || replacement->right))
return -EINVAL;
if (existing->parent)
dir = rbnode_dir(existing);
replacement->is_red = existing->is_red;
replacement->left = existing->left;
replacement->right = existing->right;
replacement->parent = existing->parent;
/* Fix up the new node's neighbors. */
rbnode_adjust_neighbors(rbtree, replacement, dir);
return 0;
}
/*
* Switch two nodes in the tree in place. This is useful during node deletion.
* This is more involved than switching the values of the two nodes because we
* must update all tree pointers.
*/
static void rbnode_switch(struct rbtree __arena *rbtree,
struct rbnode __arena *a,
struct rbnode __arena *b)
{
int adir = 0, bdir = 0;
/*
* Store the direction in the parent because we will not
* be able to recompute it once we start swapping values.
*/
if (a->parent)
adir = rbnode_dir(a);
if (b->parent)
bdir = rbnode_dir(b);
rbnode_swap_values(a, b);
/*
* Fix up the pointers from the children/parent to the
* new nodes.
*/
rbnode_adjust_neighbors(rbtree, a, bdir);
rbnode_adjust_neighbors(rbtree, b, adir);
}
static inline int rbnode_remove_node_single_child(struct rbtree __arena *rbtree,
struct rbnode __arena *node,
bool free)
{
struct rbnode __arena *child;
int dir;
if (unlikely(node->is_red)) {
arena_stderr("Node unexpectedly red\n");
return -EINVAL;
}
child = node->left ? node->left : node->right;
if (unlikely(!child->is_red)) {
arena_stderr("Only child is black\n");
return -EINVAL;
}
/*
* Since it's the immediate child, we can just
* remove the parent.
*/
child->parent = node->parent;
if (node->parent) {
dir = rbnode_dir(node);
node->parent->child[dir] = child;
} else {
rbtree->root = child;
}
/* Color the child black. */
child->is_red = false;
/* Only free if called from rb_remove. */
if (free)
rb_node_free(node);
return 0;
}
static inline bool rbnode_has_red_children(struct rbnode __arena *node)
{
if (node->left && node->left->is_red)
return true;
return node->right && node->right->is_red;
}
static
int rb_node_remove(struct rbtree __arena *rbtree,
struct rbnode __arena *node)
{
struct rbnode __arena *parent, *sibling, *close_nephew, *distant_nephew;
bool free = (rbtree->alloc == RB_ALLOC);
struct rbnode __arena *replace, *initial;
bool is_red;
int dir;
/* Both children present, replace with next largest key. */
if (node->left && node->right) {
/*
* Swap the node itself instead of just the
* key/value pair to account for nodes embedded
* in other structs.
*/
replace = rbnode_least(node->right);
rbnode_switch(rbtree, replace, node);
/*
* FALLTHROUGH: We moved the node we are removing to
* the leftmost position of the subtree. We can now
* remove it as if it was always where we moved it to.
*/
}
initial = node;
/* Only one child present, replace with child and paint it black. */
if (!node->left != !node->right)
return rbnode_remove_node_single_child(rbtree, node, free);
/* (!node->left && !node->right) */
parent = node->parent;
if (!parent) {
/* Check that we're _actually_ the root. */
if (rbtree->root == node)
rbtree->root = NULL;
else
arena_stderr("WARNING: Attempting to remove detached node from rbtree\n");
if (free)
rb_node_free(node);
return 0;
}
dir = rbnode_dir(node);
parent->child[dir] = NULL;
is_red = node->is_red;
if (free)
rb_node_free(node);
/* If we removed a red node, we did not unbalance the tree.*/
if (is_red)
return 0;
sibling = parent->child[1 - dir];
if (unlikely(!sibling)) {
arena_stderr("rbtree: removed black node has no sibling\n");
return -EINVAL;
}
/*
* We removed a black node, causing a change in path
* weight. Start rebalancing. The invariant is that
* all paths going through the node are shortened
* by one, and the current node is black.
*/
while (can_loop) {
/* Balancing reached the root, there can be no imbalance. */
if (!parent)
return 0;
/*
* We already determined the dir, either above or
* at the end of the loop.
*/
/*
* If we have no sibling, the tree was
* already unbalanced.
*/
sibling = parent->child[1 - dir];
if (unlikely(!sibling)) {
arena_stderr("rbtree: removed black node has no sibling\n");
return -EINVAL;
}
/* Sibling is red, turn it into the grandparent. */
if (sibling->is_red) {
/*
* Sibling is red. Transform the tree to turn
* the sibling into the parent's position, and
* repaint them. This does not balance the tree
* but makes it so we know the sibling is black
* and so can use the transformations to balance.
*/
rbnode_rotate(rbtree, parent, dir);
parent->is_red = true;
sibling->is_red = false;
/* Our new sibling is now the close nephew. */
sibling = parent->child[1 - dir];
/* If sibling has any red siblings, break out. */
if (rbnode_has_red_children(sibling))
break;
/* We can repaint the sibling and parent, we're done. */
sibling->is_red = true;
parent->is_red = false;
return 0;
}
/* Sibling guaranteed to be black. If it has red children, break out. */
if (rbnode_has_red_children(sibling))
break;
/*
* Both sibling and children are black. If parent is red, swap
* colors with the sibling. Otherwise
*/
if (parent->is_red) {
parent->is_red = false;
sibling->is_red = true;
return 0;
}
/*
* Parent, sibling, and all its children are black. Repaint the sibling.
* This shortens the paths through it, so pop up a level in the
* tree and repeat the balancing.
*/
sibling->is_red = true;
node = parent;
parent = node->parent;
dir = rbnode_dir(node);
}
if (node != initial) {
dir = rbnode_dir(node);
parent = node->parent;
sibling = parent->child[1-dir];
}
/*
* Almost there. We know between the parent, sibling,
* and nephews only one or two of the nephews are red. If
* it is the close one, rotate it to the sibling position,
* paint it black, and paint the previous sibling red.
*/
close_nephew = sibling->child[dir];
distant_nephew = sibling->child[1 - dir];
/*
* If the distant red nephew is not red, rotate
* and repaint. We need the distant nephew
* to be red. We know the close nephew is red
* because at least one of them are, so the
* distant one is black if it exists.
*/
if (!distant_nephew || !distant_nephew->is_red) {
rbnode_rotate(rbtree, sibling, 1 - dir);
sibling->is_red = true;
close_nephew->is_red = false;
distant_nephew = sibling;
sibling = close_nephew;
}
/*
* We now know it's the distant nephew that's red.
* Rotate the sibling into our parent's position
* and paint both black.
*/
rbnode_rotate(rbtree, parent, dir);
sibling->is_red = parent->is_red;
parent->is_red = false;
distant_nephew->is_red = false;
return 0;
}
__weak
int rb_remove_node(struct rbtree __arena *rbtree,
struct rbnode __arena *node)
{
if (unlikely(!rbtree))
return -EINVAL;
if (unlikely(rbtree->alloc == RB_ALLOC))
return -EINVAL;
return rb_node_remove(rbtree, node);
}
__weak
int rb_remove(struct rbtree __arena *rbtree, u64 key)
{
struct rbnode __arena *node;
if (unlikely(!rbtree))
return -EINVAL;
if (unlikely(rbtree->alloc != RB_ALLOC))
return -EINVAL;
if (!rbtree->root)
return -ENOENT;
node = rbnode_find(rbtree->root, key);
if (!node || node->key != key)
return -ENOENT;
return rb_node_remove(rbtree, node);
}
__weak
int rb_pop(struct rbtree __arena *rbtree, u64 *key, u64 *value)
{
struct rbnode __arena *node;
if (unlikely(!rbtree))
return -EINVAL;
if (!rbtree->root)
return -ENOENT;
if (rbtree->alloc != RB_ALLOC)
return -EINVAL;
node = rbnode_least(rbtree->root);
if (unlikely(!node))
return -ENOENT;
if (key)
*key = node->key;
if (value)
*value = node->value;
return rb_node_remove(rbtree, node);
}
inline void rbnode_print(size_t depth, struct rbnode __arena *rbn)
{
arena_stderr("[DEPTH %d] %p (%s)\n PARENT %p", depth, rbn, rbn->is_red ? "red" : "black", rbn->parent);
arena_stderr("\tKV (%ld, %ld)\n LEFT %p RIGHT %p]\n", rbn->key, rbn->value, rbn->left, rbn->right);
}
enum rb_print_state {
RB_NONE_VISITED,
RB_LEFT_VISITED,
RB_RIGHT_VISITED,
};
__weak
enum rb_print_state rb_print_next_state(struct rbnode __arena *rbnode,
enum rb_print_state state, u64 *next)
{
if (unlikely(!next))
return RB_NONE_VISITED;
switch (state) {
case RB_NONE_VISITED:
if (rbnode->left) {
*next = (u64)rbnode->left;
state = RB_LEFT_VISITED;
break;
}
/* FALLTHROUGH */
case RB_LEFT_VISITED:
if (rbnode->right) {
*next = (u64)rbnode->right;
state = RB_RIGHT_VISITED;
break;
}
/* FALLTHROUGH */
default:
*next = 0;
state = RB_RIGHT_VISITED;
}
return state;
}
__weak
int rb_print_pop_up(struct rbnode __arena **rbnodep, u8 *depthp, enum rb_print_state (*stack)[RB_MAXLVL_PRINT], enum rb_print_state *state)
{
struct rbnode __arena *rbnode;
volatile u8 depth;
int j;
if (unlikely(!rbnodep || !depthp || !stack || !state))
return -EINVAL;
rbnode = *rbnodep;
depth = *depthp;
for (j = 0; j < RB_MAXLVL_PRINT && can_loop; j++) {
if (*state != RB_RIGHT_VISITED)
break;
depth -= 1;
if (depth < 0 || depth >= RB_MAXLVL_PRINT)
break;
*state = (*stack)[depth % RB_MAXLVL_PRINT];
rbnode = rbnode->parent;
}
*rbnodep = rbnode;
*depthp = depth;
return 0;
}
__weak
int rb_print(struct rbtree __arena *rbtree)
{
enum rb_print_state stack[RB_MAXLVL_PRINT];
struct rbnode __arena *rbnode = rbtree->root;
enum rb_print_state state;
struct rbnode __arena *next;
u64 next_addr;
u8 depth;
int ret;
if (unlikely(!rbtree))
return -EINVAL;
depth = 0;
state = RB_NONE_VISITED;
arena_stderr("=== RB TREE START ===\n");
if (!rbtree->root)
goto out;
/* Even with can_loop, the verifier doesn't like infinite loops. */
while (can_loop) {
if (state == RB_NONE_VISITED)
rbnode_print(depth, rbnode);
/* Find which child to traverse next. */
state = rb_print_next_state(rbnode, state, &next_addr);
next = (struct rbnode __arena *)next_addr;
/* Child found. Store the node state and go on. */
if (next) {
if (depth < 0 || depth >= RB_MAXLVL_PRINT)
return 0;
stack[depth++] = state;
rbnode = next;
state = RB_NONE_VISITED;
continue;
}
/* Otherwise, go as far up as possible. */
ret = rb_print_pop_up(&rbnode, &depth, &stack, &state);
if (ret)
return -EINVAL;
if (depth < 0 || depth >= RB_MAXLVL_PRINT) {
arena_stderr("=== RB TREE END (depth %d\n)===", depth);
return 0;
}
}
out:
arena_stderr("=== RB TREE END ===\n");
return 0;
}
__weak
int rb_integrity_check(struct rbtree __arena *rbtree)
{
enum rb_print_state stack[RB_MAXLVL_PRINT];
struct rbnode __arena *rbnode = rbtree->root;
enum rb_print_state state;
struct rbnode __arena *next;
u64 next_addr;
u8 depth;
int ret;
if (unlikely(!rbtree))
return -EINVAL;
if (!rbtree->root)
return 0;
depth = 0;
state = RB_NONE_VISITED;
/* Even with can_loop, the verifier doesn't like infinite loops. */
while (can_loop) {
if (rbnode->parent && rbnode->parent->left != rbnode
&& rbnode->parent->right != rbnode) {
arena_stderr("WARNING: Inconsistent tree. Parent %p has no child %p\n", rbnode->parent, rbnode);
return -EINVAL;
}
if (rbnode->parent == rbnode) {
arena_stderr("WARNING: Inconsistent tree, node %p is its own parent\n", rbnode);
return -EINVAL;
}
if (rbnode->left == rbnode) {
arena_stderr("WARNING: Inconsistent tree, node %p is its own left child\n", rbnode);
return -EINVAL;
}
if (rbnode->right == rbnode) {
arena_stderr("WARNING: Inconsistent tree, node %p is its own right child\n", rbnode);
return -EINVAL;
}
if (rbnode->is_red) {
if (rbnode->left && rbnode->left->is_red) {
arena_stderr("WARNING: Inconsistent tree. Parent has %p has red child %p\n", rbnode, rbnode->left);
return -EINVAL;
}
if (rbnode->right && rbnode->right->is_red) {
arena_stderr("WARNING: Inconsistent tree. Parent has %p has red child %p\n", rbnode, rbnode->right);
return -EINVAL;
}
} else if (rbnode->parent && rbnode->parent->child[1 - rbnode_dir(rbnode)] == NULL) {
arena_stderr("WARNING: Inconsistent tree. Black node %p has no sibling\n", rbnode);
return -EINVAL;
}
/* Find which child to traverse next. */
state = rb_print_next_state(rbnode, state, &next_addr);
next = (struct rbnode __arena *)next_addr;
/* Child found. Store the node state and go on. */
if (next) {
if (depth < 0 || depth >= RB_MAXLVL_PRINT)
return 0;
stack[depth++] = state;
rbnode = next;
state = RB_NONE_VISITED;
continue;
}
/* Otherwise, go as far up as possible. */
ret = rb_print_pop_up(&rbnode, &depth, &stack, &state);
if (ret)
return -EINVAL;
if (depth < 0 || depth >= RB_MAXLVL_PRINT) {
return 0;
}
}
return 0;
}
|