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authorYawning Angel <yawning@schwanenlied.me>2024-02-16 18:58:41 +0900
committerYawning Angel <yawning@schwanenlied.me>2024-02-24 14:05:15 +0900
commit874d6ccb6078078e7554bc40acebbb86e6e8ee7c (patch)
tree49b6bc192c372ea799ab9a973ace3a7fae93004d
parentdb3279e7da4d422005fa9224a9fb8c2301d88837 (diff)
core/container/avl: Initial import
-rw-r--r--core/container/avl/avl.odin678
-rw-r--r--examples/all/all_main.odin2
-rw-r--r--tests/core/container/test_core_avl.odin161
-rw-r--r--tests/core/container/test_core_container.odin1
4 files changed, 842 insertions, 0 deletions
diff --git a/core/container/avl/avl.odin b/core/container/avl/avl.odin
new file mode 100644
index 000000000..eecc1b756
--- /dev/null
+++ b/core/container/avl/avl.odin
@@ -0,0 +1,678 @@
+/*
+package avl implements an AVL tree.
+
+The implementation is non-intrusive, and non-recursive.
+*/
+package container_avl
+
+import "base:intrinsics"
+import "base:runtime"
+import "core:slice"
+
+_ :: intrinsics
+_ :: runtime
+
+// Originally based on the CC0 implementation by Eric Biggers
+// See: https://github.com/ebiggers/avl_tree/
+
+// Direction specifies the traversal direction for a tree iterator.
+Direction :: enum i8 {
+ // Backward is the in-order backwards direction.
+ Backward = -1,
+ // Forward is the in-order forwards direction.
+ Forward = 1,
+}
+
+// Ordering specifies order when inserting/finding values into the tree.
+Ordering :: slice.Ordering
+
+// Tree is an AVL tree.
+Tree :: struct($Value: typeid) {
+ // user_data is a parameter that will be passed to the on_remove
+ // callback.
+ user_data: rawptr,
+ // on_remove is an optional callback that can be called immediately
+ // after a node is removed from the tree.
+ on_remove: proc(value: Value, user_data: rawptr),
+
+ _root: ^Node(Value),
+ _node_allocator: runtime.Allocator,
+ _cmp_fn: proc(a, b: Value) -> Ordering,
+ _size: int,
+}
+
+// Node is an AVL tree node.
+//
+// WARNING: It is unsafe to mutate value if the node is part of a tree
+// if doing so will alter the Node's sort position relative to other
+// elements in the tree.
+Node :: struct($Value: typeid) {
+ value: Value,
+
+ _parent: ^Node(Value),
+ _left: ^Node(Value),
+ _right: ^Node(Value),
+ _balance: i8,
+}
+
+// Iterator is a tree iterator.
+//
+// WARNING: It is unsafe to modify the tree while iterating, except via
+// the iterator_remove method.
+Iterator :: struct($Value: typeid) {
+ _tree: ^Tree(Value),
+ _cur: ^Node(Value),
+ _next: ^Node(Value),
+ _direction: Direction,
+ _called_next: bool,
+}
+
+// init initializes a tree.
+init :: proc {
+ init_ordered,
+ init_cmp,
+}
+
+// init_cmp initializes a tree.
+init_cmp :: proc(
+ t: ^$T/Tree($Value),
+ cmp_fn: proc(a, b: Value) -> Ordering,
+ node_allocator := context.allocator,
+) {
+ t._root = nil
+ t._node_allocator = node_allocator
+ t._cmp_fn = cmp_fn
+ t._size = 0
+}
+
+// init_ordered initializes a tree containing ordered items, with
+// a comparison function that results in an ascending order sort.
+init_ordered :: proc(
+ t: ^$T/Tree($Value),
+ node_allocator := context.allocator,
+) where intrinsics.type_is_ordered_numeric(Value) {
+ init_cmp(t, slice.cmp_proc(Value), node_allocator)
+}
+
+// destroy de-initializes a tree.
+destroy :: proc(t: ^$T/Tree($Value), call_on_remove: bool = true) {
+ iter := iterator(t, Direction.Forward)
+ for _ in iterator_next(&iter) {
+ iterator_remove(&iter, call_on_remove)
+ }
+}
+
+// len returns the number of elements in the tree.
+len :: proc "contextless" (t: ^$T/Tree($Value)) -> int {
+ return t._size
+}
+
+// first returns the first node in the tree (in-order) or nil iff
+// the tree is empty.
+first :: proc "contextless" (t: ^$T/Tree($Value)) -> ^Node(Value) {
+ return tree_first_or_last_in_order(t, Direction.Backward)
+}
+
+// last returns the last element in the tree (in-order) or nil iff
+// the tree is empty.
+last :: proc "contextless" (t: ^$T/Tree($Value)) -> ^Node(Value) {
+ return tree_first_or_last_in_order(t, Direction.Forward)
+}
+
+// find finds the value in the tree, and returns the corresponding
+// node or nil iff the value is not present.
+find :: proc(t: ^$T/Tree($Value), value: Value) -> ^Node(Value) {
+ cur := t._root
+ descend_loop: for cur != nil {
+ switch t._cmp_fn(value, cur.value) {
+ case .Less:
+ cur = cur._left
+ case .Greater:
+ cur = cur._right
+ case .Equal:
+ break descend_loop
+ }
+ }
+
+ return cur
+}
+
+// find_or_insert attempts to insert the value into the tree, and returns
+// the node, a boolean indicating if the value was inserted, and the
+// node allocator error if relevant. If the value is already
+// present, the existing node is returned un-altered.
+find_or_insert :: proc(
+ t: ^$T/Tree($Value),
+ value: Value,
+) -> (
+ n: ^Node(Value),
+ inserted: bool,
+ err: runtime.Allocator_Error,
+) {
+ n_ptr := &t._root
+ for n_ptr^ != nil {
+ n = n_ptr^
+ switch t._cmp_fn(value, n.value) {
+ case .Less:
+ n_ptr = &n._left
+ case .Greater:
+ n_ptr = &n._right
+ case .Equal:
+ return
+ }
+ }
+
+ parent := n
+ n = new(Node(Value), t._node_allocator) or_return
+ n.value = value
+ n._parent = parent
+ n_ptr^ = n
+ tree_rebalance_after_insert(t, n)
+
+ t._size += 1
+ inserted = true
+
+ return
+}
+
+// remove removes a node or value from the tree, and returns true iff the
+// removal was successful. While the node's value will be left intact,
+// the node itself will be freed via the tree's node allocator.
+remove :: proc {
+ remove_value,
+ remove_node,
+}
+
+// remove_value removes a value from the tree, and returns true iff the
+// removal was successful. While the node's value will be left intact,
+// the node itself will be freed via the tree's node allocator.
+remove_value :: proc(t: ^$T/Tree($Value), value: Value, call_on_remove: bool = true) -> bool {
+ n := find(t, value)
+ if n == nil {
+ return false
+ }
+ return remove_node(t, n, call_on_remove)
+}
+
+// remove_node removes a node from the tree, and returns true iff the
+// removal was successful. While the node's value will be left intact,
+// the node itself will be freed via the tree's node allocator.
+remove_node :: proc(t: ^$T/Tree($Value), node: ^Node(Value), call_on_remove: bool = true) -> bool {
+ if node._parent == node || (node._parent == nil && t._root != node) {
+ return false
+ }
+ defer {
+ if call_on_remove && t.on_remove != nil {
+ t.on_remove(node.value, t.user_data)
+ }
+ free(node, t._node_allocator)
+ }
+
+ parent: ^Node(Value)
+ left_deleted: bool
+
+ t._size -= 1
+ if node._left != nil && node._right != nil {
+ parent, left_deleted = tree_swap_with_successor(t, node)
+ } else {
+ child := node._left
+ if child == nil {
+ child = node._right
+ }
+ parent = node._parent
+ if parent != nil {
+ if node == parent._left {
+ parent._left = child
+ left_deleted = true
+ } else {
+ parent._right = child
+ left_deleted = false
+ }
+ if child != nil {
+ child._parent = parent
+ }
+ } else {
+ if child != nil {
+ child._parent = parent
+ }
+ t._root = child
+ node_reset(node)
+ return true
+ }
+ }
+
+ for {
+ if left_deleted {
+ parent = tree_handle_subtree_shrink(t, parent, +1, &left_deleted)
+ } else {
+ parent = tree_handle_subtree_shrink(t, parent, -1, &left_deleted)
+ }
+ if parent == nil {
+ break
+ }
+ }
+ node_reset(node)
+
+ return true
+}
+
+// iterator returns a tree iterator in the specified direction.
+iterator :: proc "contextless" (t: ^$T/Tree($Value), direction: Direction) -> Iterator(Value) {
+ it: Iterator(Value)
+ it._tree = transmute(^Tree(Value))t
+ it._direction = direction
+
+ iterator_first(&it)
+
+ return it
+}
+
+// iterator_from_pos returns a tree iterator in the specified direction,
+// spanning the range [pos, last] (inclusive).
+iterator_from_pos :: proc "contextless" (
+ t: ^$T/Tree($Value),
+ pos: ^Node(Value),
+ direction: Direction,
+) -> Iterator(Value) {
+ it: Iterator(Value)
+ it._tree = transmute(^Tree(Value))t
+ it._direction = direction
+ it._next = nil
+ it._called_next = false
+
+ if it._cur = pos; pos != nil {
+ it._next = node_next_or_prev_in_order(it._cur, it._direction)
+ }
+
+ return it
+}
+
+// iterator_get returns the node currently pointed to by the iterator,
+// or nil iff the node has been removed, the tree is empty, or the end
+// of the tree has been reached.
+iterator_get :: proc "contextless" (it: ^$I/Iterator($Value)) -> ^Node(Value) {
+ return it._cur
+}
+
+// iterator_remove removes the node currently pointed to by the iterator,
+// and returns true iff the removal was successful. Semantics are the
+// same as the Tree remove.
+iterator_remove :: proc(it: ^$I/Iterator($Value), call_on_remove: bool = true) -> bool {
+ if it._cur == nil {
+ return false
+ }
+
+ ok := remove_node(it._tree, it._cur, call_on_remove)
+ if ok {
+ it._cur = nil
+ }
+
+ return ok
+}
+
+// iterator_next advances the iterator and returns the (node, true) or
+// or (nil, false) iff the end of the tree has been reached.
+//
+// Note: The first call to iterator_next will return the first node instead
+// of advancing the iterator.
+iterator_next :: proc "contextless" (it: ^$I/Iterator($Value)) -> (^Node(Value), bool) {
+ // This check is needed so that the first element gets returned from
+ // a brand-new iterator, and so that the somewhat contrived case where
+ // iterator_remove is called before the first call to iterator_next
+ // returns the correct value.
+ if !it._called_next {
+ it._called_next = true
+
+ // There can be the contrived case where iterator_remove is
+ // called before ever calling iterator_next, which needs to be
+ // handled as an actual call to next.
+ //
+ // If this happens it._cur will be nil, so only return the
+ // first value, if it._cur is valid.
+ if it._cur != nil {
+ return it._cur, true
+ }
+ }
+
+ if it._next == nil {
+ return nil, false
+ }
+
+ it._cur = it._next
+ it._next = node_next_or_prev_in_order(it._cur, it._direction)
+
+ return it._cur, true
+}
+
+@(private)
+tree_first_or_last_in_order :: proc "contextless" (
+ t: ^$T/Tree($Value),
+ direction: Direction,
+) -> ^Node(Value) {
+ first, sign := t._root, i8(direction)
+ if first != nil {
+ for {
+ tmp := node_get_child(first, +sign)
+ if tmp == nil {
+ break
+ }
+ first = tmp
+ }
+ }
+
+ return first
+}
+
+@(private)
+tree_replace_child :: proc "contextless" (
+ t: ^$T/Tree($Value),
+ parent, old_child, new_child: ^Node(Value),
+) {
+ if parent != nil {
+ if old_child == parent._left {
+ parent._left = new_child
+ } else {
+ parent._right = new_child
+ }
+ } else {
+ t._root = new_child
+ }
+}
+
+@(private)
+tree_rotate :: proc "contextless" (t: ^$T/Tree($Value), a: ^Node(Value), sign: i8) {
+ b := node_get_child(a, -sign)
+ e := node_get_child(b, +sign)
+ p := a._parent
+
+ node_set_child(a, -sign, e)
+ a._parent = b
+
+ node_set_child(b, +sign, a)
+ b._parent = p
+
+ if e != nil {
+ e._parent = a
+ }
+
+ tree_replace_child(t, p, a, b)
+}
+
+@(private)
+tree_double_rotate :: proc "contextless" (
+ t: ^$T/Tree($Value),
+ b, a: ^Node(Value),
+ sign: i8,
+) -> ^Node(Value) {
+ e := node_get_child(b, +sign)
+ f := node_get_child(e, -sign)
+ g := node_get_child(e, +sign)
+ p := a._parent
+ e_bal := e._balance
+
+ node_set_child(a, -sign, g)
+ a_bal := -e_bal
+ if sign * e_bal >= 0 {
+ a_bal = 0
+ }
+ node_set_parent_balance(a, e, a_bal)
+
+ node_set_child(b, +sign, f)
+ b_bal := -e_bal
+ if sign * e_bal <= 0 {
+ b_bal = 0
+ }
+ node_set_parent_balance(b, e, b_bal)
+
+ node_set_child(e, +sign, a)
+ node_set_child(e, -sign, b)
+ node_set_parent_balance(e, p, 0)
+
+ if g != nil {
+ g._parent = a
+ }
+
+ if f != nil {
+ f._parent = b
+ }
+
+ tree_replace_child(t, p, a, e)
+
+ return e
+}
+
+@(private)
+tree_handle_subtree_growth :: proc "contextless" (
+ t: ^$T/Tree($Value),
+ node, parent: ^Node(Value),
+ sign: i8,
+) -> bool {
+ old_balance_factor := parent._balance
+ if old_balance_factor == 0 {
+ node_adjust_balance_factor(parent, sign)
+ return false
+ }
+
+ new_balance_factor := old_balance_factor + sign
+ if new_balance_factor == 0 {
+ node_adjust_balance_factor(parent, sign)
+ return true
+ }
+
+ if sign * node._balance > 0 {
+ tree_rotate(t, parent, -sign)
+ node_adjust_balance_factor(parent, -sign)
+ node_adjust_balance_factor(node, -sign)
+ } else {
+ tree_double_rotate(t, node, parent, -sign)
+ }
+
+ return true
+}
+
+@(private)
+tree_rebalance_after_insert :: proc "contextless" (t: ^$T/Tree($Value), inserted: ^Node(Value)) {
+ node, parent := inserted, inserted._parent
+ switch {
+ case parent == nil:
+ return
+ case node == parent._left:
+ node_adjust_balance_factor(parent, -1)
+ case:
+ node_adjust_balance_factor(parent, +1)
+ }
+
+ if parent._balance == 0 {
+ return
+ }
+
+ for done := false; !done; {
+ node = parent
+ if parent = node._parent; parent == nil {
+ return
+ }
+
+ if node == parent._left {
+ done = tree_handle_subtree_growth(t, node, parent, -1)
+ } else {
+ done = tree_handle_subtree_growth(t, node, parent, +1)
+ }
+ }
+}
+
+@(private)
+tree_swap_with_successor :: proc "contextless" (
+ t: ^$T/Tree($Value),
+ x: ^Node(Value),
+) -> (
+ ^Node(Value),
+ bool,
+) {
+ ret: ^Node(Value)
+ left_deleted: bool
+
+ y := x._right
+ if y._left == nil {
+ ret = y
+ } else {
+ q: ^Node(Value)
+
+ for {
+ q = y
+ if y = y._left; y._left == nil {
+ break
+ }
+ }
+
+ if q._left = y._right; q._left != nil {
+ q._left._parent = q
+ }
+ y._right = x._right
+ x._right._parent = y
+ ret = q
+ left_deleted = true
+ }
+
+ y._left = x._left
+ x._left._parent = y
+
+ y._parent = x._parent
+ y._balance = x._balance
+
+ tree_replace_child(t, x._parent, x, y)
+
+ return ret, left_deleted
+}
+
+@(private)
+tree_handle_subtree_shrink :: proc "contextless" (
+ t: ^$T/Tree($Value),
+ parent: ^Node(Value),
+ sign: i8,
+ left_deleted: ^bool,
+) -> ^Node(Value) {
+ old_balance_factor := parent._balance
+ if old_balance_factor == 0 {
+ node_adjust_balance_factor(parent, sign)
+ return nil
+ }
+
+ node: ^Node(Value)
+ new_balance_factor := old_balance_factor + sign
+ if new_balance_factor == 0 {
+ node_adjust_balance_factor(parent, sign)
+ node = parent
+ } else {
+ node = node_get_child(parent, sign)
+ if sign * node._balance >= 0 {
+ tree_rotate(t, parent, -sign)
+ if node._balance == 0 {
+ node_adjust_balance_factor(node, -sign)
+ return nil
+ }
+ node_adjust_balance_factor(parent, -sign)
+ node_adjust_balance_factor(node, -sign)
+ } else {
+ node = tree_double_rotate(t, node, parent, -sign)
+ }
+ }
+
+ parent := parent
+ if parent = node._parent; parent != nil {
+ left_deleted^ = node == parent._left
+ }
+ return parent
+}
+
+@(private)
+node_reset :: proc "contextless" (n: ^Node($Value)) {
+ // Mostly pointless as n will be deleted after this is called, but
+ // attempt to be able to catch cases of n not being in the tree.
+ n._parent = n
+ n._left = nil
+ n._right = nil
+ n._balance = 0
+}
+
+@(private)
+node_set_parent_balance :: #force_inline proc "contextless" (
+ n, parent: ^Node($Value),
+ balance: i8,
+) {
+ n._parent = parent
+ n._balance = balance
+}
+
+@(private)
+node_get_child :: #force_inline proc "contextless" (n: ^Node($Value), sign: i8) -> ^Node(Value) {
+ if sign < 0 {
+ return n._left
+ }
+ return n._right
+}
+
+@(private)
+node_next_or_prev_in_order :: proc "contextless" (
+ n: ^Node($Value),
+ direction: Direction,
+) -> ^Node(Value) {
+ next, tmp: ^Node(Value)
+ sign := i8(direction)
+
+ if next = node_get_child(n, +sign); next != nil {
+ for {
+ tmp = node_get_child(next, -sign)
+ if tmp == nil {
+ break
+ }
+ next = tmp
+ }
+ } else {
+ tmp, next = n, n._parent
+ for next != nil && tmp == node_get_child(next, +sign) {
+ tmp, next = next, next._parent
+ }
+ }
+ return next
+}
+
+@(private)
+node_set_child :: #force_inline proc "contextless" (
+ n: ^Node($Value),
+ sign: i8,
+ child: ^Node(Value),
+) {
+ if sign < 0 {
+ n._left = child
+ } else {
+ n._right = child
+ }
+}
+
+@(private)
+node_adjust_balance_factor :: #force_inline proc "contextless" (n: ^Node($Value), amount: i8) {
+ n._balance += amount
+}
+
+@(private)
+iterator_first :: proc "contextless" (it: ^Iterator($Value)) {
+ // This is private because behavior when the user manually calls
+ // iterator_first followed by iterator_next is unintuitive, since
+ // the first call to iterator_next MUST return the first node
+ // instead of advancing so that `for node in iterator_next(&next)`
+ // works as expected.
+
+ switch it._direction {
+ case .Forward:
+ it._cur = tree_first_or_last_in_order(it._tree, .Backward)
+ case .Backward:
+ it._cur = tree_first_or_last_in_order(it._tree, .Forward)
+ }
+
+ it._next = nil
+ it._called_next = false
+
+ if it._cur != nil {
+ it._next = node_next_or_prev_in_order(it._cur, it._direction)
+ }
+}
diff --git a/examples/all/all_main.odin b/examples/all/all_main.odin
index 8f2eebc8f..fff344b22 100644
--- a/examples/all/all_main.odin
+++ b/examples/all/all_main.odin
@@ -14,6 +14,7 @@ import shoco "core:compress/shoco"
import gzip "core:compress/gzip"
import zlib "core:compress/zlib"
+import avl "core:container/avl"
import bit_array "core:container/bit_array"
import priority_queue "core:container/priority_queue"
import queue "core:container/queue"
@@ -131,6 +132,7 @@ _ :: compress
_ :: shoco
_ :: gzip
_ :: zlib
+_ :: avl
_ :: bit_array
_ :: priority_queue
_ :: queue
diff --git a/tests/core/container/test_core_avl.odin b/tests/core/container/test_core_avl.odin
new file mode 100644
index 000000000..f6343c5ea
--- /dev/null
+++ b/tests/core/container/test_core_avl.odin
@@ -0,0 +1,161 @@
+package test_core_container
+
+import "core:container/avl"
+import "core:math/rand"
+import "core:slice"
+import "core:testing"
+
+import tc "tests:common"
+
+@(test)
+test_avl :: proc(t: ^testing.T) {
+ tc.log(t, "Testing avl")
+
+ // Initialization.
+ tree: avl.Tree(int)
+ avl.init(&tree, slice.cmp_proc(int))
+ tc.expect(t, avl.len(&tree) == 0, "empty: len should be 0")
+ tc.expect(t, avl.first(&tree) == nil, "empty: first should be nil")
+ tc.expect(t, avl.last(&tree) == nil, "empty: last should be nil")
+
+ iter := avl.iterator(&tree, avl.Direction.Forward)
+ tc.expect(t, avl.iterator_get(&iter) == nil, "empty/iterator: first node should be nil")
+
+ // Test insertion.
+ NR_INSERTS :: 32 + 1 // Ensure at least 1 collision.
+ inserted_map := make(map[int]^avl.Node(int))
+ for i := 0; i < NR_INSERTS; i += 1 {
+ v := int(rand.uint32() & 0x1f)
+ existing_node, in_map := inserted_map[v]
+
+ n, ok, _ := avl.find_or_insert(&tree, v)
+ tc.expect(t, in_map != ok, "insert: ok should match inverse of map lookup")
+ if ok {
+ inserted_map[v] = n
+ } else {
+ tc.expect(t, existing_node == n, "insert: expecting existing node")
+ }
+ }
+ nrEntries := len(inserted_map)
+ tc.expect(t, avl.len(&tree) == nrEntries, "insert: len after")
+ tree_validate(t, &tree)
+
+ // Ensure that all entries can be found.
+ for k, v in inserted_map {
+ tc.expect(t, v == avl.find(&tree, k), "Find(): Node")
+ tc.expect(t, k == v.value, "Find(): Node value")
+ }
+
+ // Test the forward/backward iterators.
+ inserted_values: [dynamic]int
+ for k in inserted_map {
+ append(&inserted_values, k)
+ }
+ slice.sort(inserted_values[:])
+
+ iter = avl.iterator(&tree, avl.Direction.Forward)
+ visited: int
+ for node in avl.iterator_next(&iter) {
+ v, idx := node.value, visited
+ tc.expect(t, inserted_values[idx] == v, "iterator/forward: value")
+ tc.expect(t, node == avl.iterator_get(&iter), "iterator/forward: get")
+ visited += 1
+ }
+ tc.expect(t, visited == nrEntries, "iterator/forward: visited")
+
+ slice.reverse(inserted_values[:])
+ iter = avl.iterator(&tree, avl.Direction.Backward)
+ visited = 0
+ for node in avl.iterator_next(&iter) {
+ v, idx := node.value, visited
+ tc.expect(t, inserted_values[idx] == v, "iterator/backward: value")
+ visited += 1
+ }
+ tc.expect(t, visited == nrEntries, "iterator/backward: visited")
+
+ // Test removal.
+ rand.shuffle(inserted_values[:])
+ for v, i in inserted_values {
+ node := avl.find(&tree, v)
+ tc.expect(t, node != nil, "remove: find (pre)")
+
+ ok := avl.remove(&tree, v)
+ tc.expect(t, ok, "remove: succeeds")
+ tc.expect(t, nrEntries - (i + 1) == avl.len(&tree), "remove: len (post)")
+ tree_validate(t, &tree)
+
+ tc.expect(t, nil == avl.find(&tree, v), "remove: find (post")
+ }
+ tc.expect(t, avl.len(&tree) == 0, "remove: len should be 0")
+ tc.expect(t, avl.first(&tree) == nil, "remove: first should be nil")
+ tc.expect(t, avl.last(&tree) == nil, "remove: last should be nil")
+
+ // Refill the tree.
+ for v in inserted_values {
+ avl.find_or_insert(&tree, v)
+ }
+
+ // Test that removing the node doesn't break the iterator.
+ iter = avl.iterator(&tree, avl.Direction.Forward)
+ if node := avl.iterator_get(&iter); node != nil {
+ v := node.value
+
+ ok := avl.iterator_remove(&iter)
+ tc.expect(t, ok, "iterator/remove: success")
+
+ ok = avl.iterator_remove(&iter)
+ tc.expect(t, !ok, "iterator/remove: redundant removes should fail")
+
+ tc.expect(t, avl.find(&tree, v) == nil, "iterator/remove: node should be gone")
+ tc.expect(t, avl.iterator_get(&iter) == nil, "iterator/remove: get should return nil")
+
+ // Ensure that iterator_next still works.
+ node, ok = avl.iterator_next(&iter)
+ tc.expect(t, ok == (avl.len(&tree) > 0), "iterator/remove: next should return false")
+ tc.expect(t, node == avl.first(&tree), "iterator/remove: next should return first")
+
+ tree_validate(t, &tree)
+ }
+ tc.expect(t, avl.len(&tree) == nrEntries - 1, "iterator/remove: len should drop by 1")
+
+ avl.destroy(&tree)
+ tc.expect(t, avl.len(&tree) == 0, "destroy: len should be 0")
+}
+
+@(private)
+tree_validate :: proc(t: ^testing.T, tree: ^avl.Tree($Value)) {
+ tree_check_invariants(t, tree, tree._root, nil)
+}
+
+@(private)
+tree_check_invariants :: proc(
+ t: ^testing.T,
+ tree: ^avl.Tree($Value),
+ node, parent: ^avl.Node(Value),
+) -> int {
+ if node == nil {
+ return 0
+ }
+
+ // Validate the parent pointer.
+ tc.expect(t, parent == node._parent, "invalid parent pointer")
+
+ // Validate that the balance factor is -1, 0, 1.
+ tc.expect(
+ t,
+ node._balance == -1 || node._balance == 0 || node._balance == 1,
+ "invalid balance factor",
+ )
+
+ // Recursively derive the height of the left and right sub-trees.
+ l_height := tree_check_invariants(t, tree, node._left, node)
+ r_height := tree_check_invariants(t, tree, node._right, node)
+
+ // Validate the AVL invariant and the balance factor.
+ tc.expect(t, int(node._balance) == r_height - l_height, "AVL balance factor invariant violated")
+ if l_height > r_height {
+ return l_height + 1
+ }
+
+ return r_height + 1
+}
diff --git a/tests/core/container/test_core_container.odin b/tests/core/container/test_core_container.odin
index 9065bed2c..f816a6bcb 100644
--- a/tests/core/container/test_core_container.odin
+++ b/tests/core/container/test_core_container.odin
@@ -19,6 +19,7 @@ expect_equal :: proc(t: ^testing.T, the_slice, expected: []int, loc := #caller_l
main :: proc() {
t := testing.T{}
+ test_avl(&t)
test_small_array(&t)
tc.report(&t)