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@ -43,246 +43,445 @@
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* The maximum height of a red-black tree is 2lg (n+1).
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*/
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#include "common/assert.h"
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namespace Common::freebsd {
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namespace Common {
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template <typename T>
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class RBHead {
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public:
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[[nodiscard]] T* Root() {
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return rbh_root;
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}
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[[nodiscard]] const T* Root() const {
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return rbh_root;
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}
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void SetRoot(T* root) {
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rbh_root = root;
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}
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[[nodiscard]] bool IsEmpty() const {
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return Root() == nullptr;
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}
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private:
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T* rbh_root = nullptr;
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};
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enum class EntryColor {
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Black,
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Red,
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enum class RBColor {
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RB_BLACK = 0,
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RB_RED = 1,
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};
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#pragma pack(push, 4)
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template <typename T>
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class RBEntry {
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public:
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[[nodiscard]] T* Left() {
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return rbe_left;
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constexpr RBEntry() = default;
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[[nodiscard]] constexpr T* Left() {
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return m_rbe_left;
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}
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[[nodiscard]] constexpr const T* Left() const {
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return m_rbe_left;
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}
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[[nodiscard]] const T* Left() const {
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return rbe_left;
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constexpr void SetLeft(T* e) {
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m_rbe_left = e;
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}
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void SetLeft(T* left) {
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rbe_left = left;
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[[nodiscard]] constexpr T* Right() {
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return m_rbe_right;
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}
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[[nodiscard]] constexpr const T* Right() const {
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return m_rbe_right;
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}
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[[nodiscard]] T* Right() {
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return rbe_right;
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constexpr void SetRight(T* e) {
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m_rbe_right = e;
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}
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[[nodiscard]] const T* Right() const {
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return rbe_right;
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[[nodiscard]] constexpr T* Parent() {
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return m_rbe_parent;
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}
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[[nodiscard]] constexpr const T* Parent() const {
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return m_rbe_parent;
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}
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void SetRight(T* right) {
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rbe_right = right;
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constexpr void SetParent(T* e) {
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m_rbe_parent = e;
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}
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[[nodiscard]] T* Parent() {
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return rbe_parent;
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[[nodiscard]] constexpr bool IsBlack() const {
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return m_rbe_color == RBColor::RB_BLACK;
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}
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[[nodiscard]] constexpr bool IsRed() const {
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return m_rbe_color == RBColor::RB_RED;
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}
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[[nodiscard]] constexpr RBColor Color() const {
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return m_rbe_color;
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}
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[[nodiscard]] const T* Parent() const {
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return rbe_parent;
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}
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void SetParent(T* parent) {
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rbe_parent = parent;
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}
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[[nodiscard]] bool IsBlack() const {
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return rbe_color == EntryColor::Black;
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}
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[[nodiscard]] bool IsRed() const {
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return rbe_color == EntryColor::Red;
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}
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[[nodiscard]] EntryColor Color() const {
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return rbe_color;
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}
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void SetColor(EntryColor color) {
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rbe_color = color;
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constexpr void SetColor(RBColor c) {
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m_rbe_color = c;
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}
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private:
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T* rbe_left = nullptr;
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T* rbe_right = nullptr;
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T* rbe_parent = nullptr;
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EntryColor rbe_color{};
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T* m_rbe_left{};
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T* m_rbe_right{};
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T* m_rbe_parent{};
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RBColor m_rbe_color{RBColor::RB_BLACK};
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};
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#pragma pack(pop)
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template <typename T>
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struct CheckRBEntry {
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static constexpr bool value = false;
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};
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template <typename T>
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struct CheckRBEntry<RBEntry<T>> {
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static constexpr bool value = true;
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};
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template <typename Node>
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[[nodiscard]] RBEntry<Node>& RB_ENTRY(Node* node) {
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return node->GetEntry();
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template <typename T>
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concept IsRBEntry = CheckRBEntry<T>::value;
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template <typename T>
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concept HasRBEntry = requires(T& t, const T& ct) {
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{ t.GetRBEntry() } -> std::same_as<RBEntry<T>&>;
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{ ct.GetRBEntry() } -> std::same_as<const RBEntry<T>&>;
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};
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template <typename T>
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requires HasRBEntry<T>
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class RBHead {
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private:
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T* m_rbh_root = nullptr;
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public:
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[[nodiscard]] constexpr T* Root() {
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return m_rbh_root;
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}
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[[nodiscard]] constexpr const T* Root() const {
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return m_rbh_root;
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}
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constexpr void SetRoot(T* root) {
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m_rbh_root = root;
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}
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[[nodiscard]] constexpr bool IsEmpty() const {
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return this->Root() == nullptr;
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}
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};
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template <typename T>
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requires HasRBEntry<T>
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[[nodiscard]] constexpr RBEntry<T>& RB_ENTRY(T* t) {
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return t->GetRBEntry();
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}
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template <typename T>
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requires HasRBEntry<T>
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[[nodiscard]] constexpr const RBEntry<T>& RB_ENTRY(const T* t) {
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return t->GetRBEntry();
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}
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template <typename Node>
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[[nodiscard]] const RBEntry<Node>& RB_ENTRY(const Node* node) {
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return node->GetEntry();
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template <typename T>
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requires HasRBEntry<T>
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[[nodiscard]] constexpr T* RB_LEFT(T* t) {
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return RB_ENTRY(t).Left();
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}
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template <typename T>
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requires HasRBEntry<T>
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[[nodiscard]] constexpr const T* RB_LEFT(const T* t) {
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return RB_ENTRY(t).Left();
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}
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template <typename Node>
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[[nodiscard]] Node* RB_PARENT(Node* node) {
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return RB_ENTRY(node).Parent();
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template <typename T>
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requires HasRBEntry<T>
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[[nodiscard]] constexpr T* RB_RIGHT(T* t) {
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return RB_ENTRY(t).Right();
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}
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template <typename T>
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requires HasRBEntry<T>
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[[nodiscard]] constexpr const T* RB_RIGHT(const T* t) {
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return RB_ENTRY(t).Right();
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}
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template <typename Node>
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[[nodiscard]] const Node* RB_PARENT(const Node* node) {
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return RB_ENTRY(node).Parent();
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template <typename T>
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requires HasRBEntry<T>
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[[nodiscard]] constexpr T* RB_PARENT(T* t) {
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return RB_ENTRY(t).Parent();
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}
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template <typename T>
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requires HasRBEntry<T>
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[[nodiscard]] constexpr const T* RB_PARENT(const T* t) {
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return RB_ENTRY(t).Parent();
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}
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template <typename Node>
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void RB_SET_PARENT(Node* node, Node* parent) {
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return RB_ENTRY(node).SetParent(parent);
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template <typename T>
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requires HasRBEntry<T>
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constexpr void RB_SET_LEFT(T* t, T* e) {
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RB_ENTRY(t).SetLeft(e);
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}
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template <typename T>
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requires HasRBEntry<T>
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constexpr void RB_SET_RIGHT(T* t, T* e) {
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RB_ENTRY(t).SetRight(e);
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}
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template <typename T>
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requires HasRBEntry<T>
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constexpr void RB_SET_PARENT(T* t, T* e) {
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RB_ENTRY(t).SetParent(e);
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}
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template <typename Node>
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[[nodiscard]] Node* RB_LEFT(Node* node) {
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return RB_ENTRY(node).Left();
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template <typename T>
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requires HasRBEntry<T>
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[[nodiscard]] constexpr bool RB_IS_BLACK(const T* t) {
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return RB_ENTRY(t).IsBlack();
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}
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template <typename T>
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requires HasRBEntry<T>
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[[nodiscard]] constexpr bool RB_IS_RED(const T* t) {
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return RB_ENTRY(t).IsRed();
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}
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template <typename Node>
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[[nodiscard]] const Node* RB_LEFT(const Node* node) {
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return RB_ENTRY(node).Left();
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template <typename T>
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requires HasRBEntry<T>
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[[nodiscard]] constexpr RBColor RB_COLOR(const T* t) {
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return RB_ENTRY(t).Color();
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}
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template <typename Node>
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void RB_SET_LEFT(Node* node, Node* left) {
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return RB_ENTRY(node).SetLeft(left);
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template <typename T>
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requires HasRBEntry<T>
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constexpr void RB_SET_COLOR(T* t, RBColor c) {
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RB_ENTRY(t).SetColor(c);
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}
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template <typename Node>
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[[nodiscard]] Node* RB_RIGHT(Node* node) {
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return RB_ENTRY(node).Right();
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template <typename T>
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requires HasRBEntry<T>
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constexpr void RB_SET(T* elm, T* parent) {
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auto& rb_entry = RB_ENTRY(elm);
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rb_entry.SetParent(parent);
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rb_entry.SetLeft(nullptr);
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rb_entry.SetRight(nullptr);
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rb_entry.SetColor(RBColor::RB_RED);
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}
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template <typename Node>
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[[nodiscard]] const Node* RB_RIGHT(const Node* node) {
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return RB_ENTRY(node).Right();
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template <typename T>
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requires HasRBEntry<T>
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constexpr void RB_SET_BLACKRED(T* black, T* red) {
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RB_SET_COLOR(black, RBColor::RB_BLACK);
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RB_SET_COLOR(red, RBColor::RB_RED);
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}
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template <typename Node>
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void RB_SET_RIGHT(Node* node, Node* right) {
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return RB_ENTRY(node).SetRight(right);
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}
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template <typename Node>
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[[nodiscard]] bool RB_IS_BLACK(const Node* node) {
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return RB_ENTRY(node).IsBlack();
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}
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template <typename Node>
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[[nodiscard]] bool RB_IS_RED(const Node* node) {
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return RB_ENTRY(node).IsRed();
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}
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template <typename Node>
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[[nodiscard]] EntryColor RB_COLOR(const Node* node) {
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return RB_ENTRY(node).Color();
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}
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template <typename Node>
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void RB_SET_COLOR(Node* node, EntryColor color) {
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return RB_ENTRY(node).SetColor(color);
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}
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template <typename Node>
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void RB_SET(Node* node, Node* parent) {
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auto& entry = RB_ENTRY(node);
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entry.SetParent(parent);
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entry.SetLeft(nullptr);
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entry.SetRight(nullptr);
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entry.SetColor(EntryColor::Red);
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}
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template <typename Node>
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void RB_SET_BLACKRED(Node* black, Node* red) {
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RB_SET_COLOR(black, EntryColor::Black);
|
|
|
|
|
RB_SET_COLOR(red, EntryColor::Red);
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
template <typename Node>
|
|
|
|
|
void RB_ROTATE_LEFT(RBHead<Node>* head, Node* elm, Node*& tmp) {
|
|
|
|
|
template <typename T>
|
|
|
|
|
requires HasRBEntry<T>
|
|
|
|
|
constexpr void RB_ROTATE_LEFT(RBHead<T>& head, T* elm, T*& tmp) {
|
|
|
|
|
tmp = RB_RIGHT(elm);
|
|
|
|
|
RB_SET_RIGHT(elm, RB_LEFT(tmp));
|
|
|
|
|
if (RB_RIGHT(elm) != nullptr) {
|
|
|
|
|
if (RB_SET_RIGHT(elm, RB_LEFT(tmp)); RB_RIGHT(elm) != nullptr) {
|
|
|
|
|
RB_SET_PARENT(RB_LEFT(tmp), elm);
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
RB_SET_PARENT(tmp, RB_PARENT(elm));
|
|
|
|
|
if (RB_PARENT(tmp) != nullptr) {
|
|
|
|
|
if (RB_SET_PARENT(tmp, RB_PARENT(elm)); RB_PARENT(tmp) != nullptr) {
|
|
|
|
|
if (elm == RB_LEFT(RB_PARENT(elm))) {
|
|
|
|
|
RB_SET_LEFT(RB_PARENT(elm), tmp);
|
|
|
|
|
} else {
|
|
|
|
|
RB_SET_RIGHT(RB_PARENT(elm), tmp);
|
|
|
|
|
}
|
|
|
|
|
} else {
|
|
|
|
|
head->SetRoot(tmp);
|
|
|
|
|
head.SetRoot(tmp);
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
RB_SET_LEFT(tmp, elm);
|
|
|
|
|
RB_SET_PARENT(elm, tmp);
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
template <typename Node>
|
|
|
|
|
void RB_ROTATE_RIGHT(RBHead<Node>* head, Node* elm, Node*& tmp) {
|
|
|
|
|
template <typename T>
|
|
|
|
|
requires HasRBEntry<T>
|
|
|
|
|
constexpr void RB_ROTATE_RIGHT(RBHead<T>& head, T* elm, T*& tmp) {
|
|
|
|
|
tmp = RB_LEFT(elm);
|
|
|
|
|
RB_SET_LEFT(elm, RB_RIGHT(tmp));
|
|
|
|
|
if (RB_LEFT(elm) != nullptr) {
|
|
|
|
|
if (RB_SET_LEFT(elm, RB_RIGHT(tmp)); RB_LEFT(elm) != nullptr) {
|
|
|
|
|
RB_SET_PARENT(RB_RIGHT(tmp), elm);
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
RB_SET_PARENT(tmp, RB_PARENT(elm));
|
|
|
|
|
if (RB_PARENT(tmp) != nullptr) {
|
|
|
|
|
if (RB_SET_PARENT(tmp, RB_PARENT(elm)); RB_PARENT(tmp) != nullptr) {
|
|
|
|
|
if (elm == RB_LEFT(RB_PARENT(elm))) {
|
|
|
|
|
RB_SET_LEFT(RB_PARENT(elm), tmp);
|
|
|
|
|
} else {
|
|
|
|
|
RB_SET_RIGHT(RB_PARENT(elm), tmp);
|
|
|
|
|
}
|
|
|
|
|
} else {
|
|
|
|
|
head->SetRoot(tmp);
|
|
|
|
|
head.SetRoot(tmp);
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
RB_SET_RIGHT(tmp, elm);
|
|
|
|
|
RB_SET_PARENT(elm, tmp);
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
template <typename Node>
|
|
|
|
|
void RB_INSERT_COLOR(RBHead<Node>* head, Node* elm) {
|
|
|
|
|
Node* parent = nullptr;
|
|
|
|
|
Node* tmp = nullptr;
|
|
|
|
|
template <typename T>
|
|
|
|
|
requires HasRBEntry<T>
|
|
|
|
|
constexpr void RB_REMOVE_COLOR(RBHead<T>& head, T* parent, T* elm) {
|
|
|
|
|
T* tmp;
|
|
|
|
|
while ((elm == nullptr || RB_IS_BLACK(elm)) && elm != head.Root()) {
|
|
|
|
|
if (RB_LEFT(parent) == elm) {
|
|
|
|
|
tmp = RB_RIGHT(parent);
|
|
|
|
|
if (RB_IS_RED(tmp)) {
|
|
|
|
|
RB_SET_BLACKRED(tmp, parent);
|
|
|
|
|
RB_ROTATE_LEFT(head, parent, tmp);
|
|
|
|
|
tmp = RB_RIGHT(parent);
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
if ((RB_LEFT(tmp) == nullptr || RB_IS_BLACK(RB_LEFT(tmp))) &&
|
|
|
|
|
(RB_RIGHT(tmp) == nullptr || RB_IS_BLACK(RB_RIGHT(tmp)))) {
|
|
|
|
|
RB_SET_COLOR(tmp, RBColor::RB_RED);
|
|
|
|
|
elm = parent;
|
|
|
|
|
parent = RB_PARENT(elm);
|
|
|
|
|
} else {
|
|
|
|
|
if (RB_RIGHT(tmp) == nullptr || RB_IS_BLACK(RB_RIGHT(tmp))) {
|
|
|
|
|
T* oleft;
|
|
|
|
|
if ((oleft = RB_LEFT(tmp)) != nullptr) {
|
|
|
|
|
RB_SET_COLOR(oleft, RBColor::RB_BLACK);
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
RB_SET_COLOR(tmp, RBColor::RB_RED);
|
|
|
|
|
RB_ROTATE_RIGHT(head, tmp, oleft);
|
|
|
|
|
tmp = RB_RIGHT(parent);
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
RB_SET_COLOR(tmp, RB_COLOR(parent));
|
|
|
|
|
RB_SET_COLOR(parent, RBColor::RB_BLACK);
|
|
|
|
|
if (RB_RIGHT(tmp)) {
|
|
|
|
|
RB_SET_COLOR(RB_RIGHT(tmp), RBColor::RB_BLACK);
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
RB_ROTATE_LEFT(head, parent, tmp);
|
|
|
|
|
elm = head.Root();
|
|
|
|
|
break;
|
|
|
|
|
}
|
|
|
|
|
} else {
|
|
|
|
|
tmp = RB_LEFT(parent);
|
|
|
|
|
if (RB_IS_RED(tmp)) {
|
|
|
|
|
RB_SET_BLACKRED(tmp, parent);
|
|
|
|
|
RB_ROTATE_RIGHT(head, parent, tmp);
|
|
|
|
|
tmp = RB_LEFT(parent);
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
if ((RB_LEFT(tmp) == nullptr || RB_IS_BLACK(RB_LEFT(tmp))) &&
|
|
|
|
|
(RB_RIGHT(tmp) == nullptr || RB_IS_BLACK(RB_RIGHT(tmp)))) {
|
|
|
|
|
RB_SET_COLOR(tmp, RBColor::RB_RED);
|
|
|
|
|
elm = parent;
|
|
|
|
|
parent = RB_PARENT(elm);
|
|
|
|
|
} else {
|
|
|
|
|
if (RB_LEFT(tmp) == nullptr || RB_IS_BLACK(RB_LEFT(tmp))) {
|
|
|
|
|
T* oright;
|
|
|
|
|
if ((oright = RB_RIGHT(tmp)) != nullptr) {
|
|
|
|
|
RB_SET_COLOR(oright, RBColor::RB_BLACK);
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
RB_SET_COLOR(tmp, RBColor::RB_RED);
|
|
|
|
|
RB_ROTATE_LEFT(head, tmp, oright);
|
|
|
|
|
tmp = RB_LEFT(parent);
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
RB_SET_COLOR(tmp, RB_COLOR(parent));
|
|
|
|
|
RB_SET_COLOR(parent, RBColor::RB_BLACK);
|
|
|
|
|
|
|
|
|
|
if (RB_LEFT(tmp)) {
|
|
|
|
|
RB_SET_COLOR(RB_LEFT(tmp), RBColor::RB_BLACK);
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
RB_ROTATE_RIGHT(head, parent, tmp);
|
|
|
|
|
elm = head.Root();
|
|
|
|
|
break;
|
|
|
|
|
}
|
|
|
|
|
}
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
if (elm) {
|
|
|
|
|
RB_SET_COLOR(elm, RBColor::RB_BLACK);
|
|
|
|
|
}
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
template <typename T>
|
|
|
|
|
requires HasRBEntry<T>
|
|
|
|
|
constexpr T* RB_REMOVE(RBHead<T>& head, T* elm) {
|
|
|
|
|
T* child = nullptr;
|
|
|
|
|
T* parent = nullptr;
|
|
|
|
|
T* old = elm;
|
|
|
|
|
RBColor color = RBColor::RB_BLACK;
|
|
|
|
|
|
|
|
|
|
if (RB_LEFT(elm) == nullptr) {
|
|
|
|
|
child = RB_RIGHT(elm);
|
|
|
|
|
} else if (RB_RIGHT(elm) == nullptr) {
|
|
|
|
|
child = RB_LEFT(elm);
|
|
|
|
|
} else {
|
|
|
|
|
T* left;
|
|
|
|
|
elm = RB_RIGHT(elm);
|
|
|
|
|
while ((left = RB_LEFT(elm)) != nullptr) {
|
|
|
|
|
elm = left;
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
child = RB_RIGHT(elm);
|
|
|
|
|
parent = RB_PARENT(elm);
|
|
|
|
|
color = RB_COLOR(elm);
|
|
|
|
|
|
|
|
|
|
if (child) {
|
|
|
|
|
RB_SET_PARENT(child, parent);
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
if (parent) {
|
|
|
|
|
if (RB_LEFT(parent) == elm) {
|
|
|
|
|
RB_SET_LEFT(parent, child);
|
|
|
|
|
} else {
|
|
|
|
|
RB_SET_RIGHT(parent, child);
|
|
|
|
|
}
|
|
|
|
|
} else {
|
|
|
|
|
head.SetRoot(child);
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
if (RB_PARENT(elm) == old) {
|
|
|
|
|
parent = elm;
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
elm->SetRBEntry(old->GetRBEntry());
|
|
|
|
|
|
|
|
|
|
if (RB_PARENT(old)) {
|
|
|
|
|
if (RB_LEFT(RB_PARENT(old)) == old) {
|
|
|
|
|
RB_SET_LEFT(RB_PARENT(old), elm);
|
|
|
|
|
} else {
|
|
|
|
|
RB_SET_RIGHT(RB_PARENT(old), elm);
|
|
|
|
|
}
|
|
|
|
|
} else {
|
|
|
|
|
head.SetRoot(elm);
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
RB_SET_PARENT(RB_LEFT(old), elm);
|
|
|
|
|
|
|
|
|
|
if (RB_RIGHT(old)) {
|
|
|
|
|
RB_SET_PARENT(RB_RIGHT(old), elm);
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
if (parent) {
|
|
|
|
|
left = parent;
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
if (color == RBColor::RB_BLACK) {
|
|
|
|
|
RB_REMOVE_COLOR(head, parent, child);
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
return old;
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
parent = RB_PARENT(elm);
|
|
|
|
|
color = RB_COLOR(elm);
|
|
|
|
|
|
|
|
|
|
if (child) {
|
|
|
|
|
RB_SET_PARENT(child, parent);
|
|
|
|
|
}
|
|
|
|
|
if (parent) {
|
|
|
|
|
if (RB_LEFT(parent) == elm) {
|
|
|
|
|
RB_SET_LEFT(parent, child);
|
|
|
|
|
} else {
|
|
|
|
|
RB_SET_RIGHT(parent, child);
|
|
|
|
|
}
|
|
|
|
|
} else {
|
|
|
|
|
head.SetRoot(child);
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
if (color == RBColor::RB_BLACK) {
|
|
|
|
|
RB_REMOVE_COLOR(head, parent, child);
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
return old;
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
template <typename T>
|
|
|
|
|
requires HasRBEntry<T>
|
|
|
|
|
constexpr void RB_INSERT_COLOR(RBHead<T>& head, T* elm) {
|
|
|
|
|
T *parent = nullptr, *tmp = nullptr;
|
|
|
|
|
while ((parent = RB_PARENT(elm)) != nullptr && RB_IS_RED(parent)) {
|
|
|
|
|
Node* gparent = RB_PARENT(parent);
|
|
|
|
|
T* gparent = RB_PARENT(parent);
|
|
|
|
|
if (parent == RB_LEFT(gparent)) {
|
|
|
|
|
tmp = RB_RIGHT(gparent);
|
|
|
|
|
if (tmp && RB_IS_RED(tmp)) {
|
|
|
|
|
RB_SET_COLOR(tmp, EntryColor::Black);
|
|
|
|
|
RB_SET_COLOR(tmp, RBColor::RB_BLACK);
|
|
|
|
|
RB_SET_BLACKRED(parent, gparent);
|
|
|
|
|
elm = gparent;
|
|
|
|
|
continue;
|
|
|
|
@ -300,7 +499,7 @@ void RB_INSERT_COLOR(RBHead<Node>* head, Node* elm) {
|
|
|
|
|
} else {
|
|
|
|
|
tmp = RB_LEFT(gparent);
|
|
|
|
|
if (tmp && RB_IS_RED(tmp)) {
|
|
|
|
|
RB_SET_COLOR(tmp, EntryColor::Black);
|
|
|
|
|
RB_SET_COLOR(tmp, RBColor::RB_BLACK);
|
|
|
|
|
RB_SET_BLACKRED(parent, gparent);
|
|
|
|
|
elm = gparent;
|
|
|
|
|
continue;
|
|
|
|
@ -318,194 +517,14 @@ void RB_INSERT_COLOR(RBHead<Node>* head, Node* elm) {
|
|
|
|
|
}
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
RB_SET_COLOR(head->Root(), EntryColor::Black);
|
|
|
|
|
RB_SET_COLOR(head.Root(), RBColor::RB_BLACK);
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
template <typename Node>
|
|
|
|
|
void RB_REMOVE_COLOR(RBHead<Node>* head, Node* parent, Node* elm) {
|
|
|
|
|
Node* tmp;
|
|
|
|
|
while ((elm == nullptr || RB_IS_BLACK(elm)) && elm != head->Root() && parent != nullptr) {
|
|
|
|
|
if (RB_LEFT(parent) == elm) {
|
|
|
|
|
tmp = RB_RIGHT(parent);
|
|
|
|
|
if (!tmp) {
|
|
|
|
|
ASSERT_MSG(false, "tmp is invalid!");
|
|
|
|
|
break;
|
|
|
|
|
}
|
|
|
|
|
if (RB_IS_RED(tmp)) {
|
|
|
|
|
RB_SET_BLACKRED(tmp, parent);
|
|
|
|
|
RB_ROTATE_LEFT(head, parent, tmp);
|
|
|
|
|
tmp = RB_RIGHT(parent);
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
if ((RB_LEFT(tmp) == nullptr || RB_IS_BLACK(RB_LEFT(tmp))) &&
|
|
|
|
|
(RB_RIGHT(tmp) == nullptr || RB_IS_BLACK(RB_RIGHT(tmp)))) {
|
|
|
|
|
RB_SET_COLOR(tmp, EntryColor::Red);
|
|
|
|
|
elm = parent;
|
|
|
|
|
parent = RB_PARENT(elm);
|
|
|
|
|
} else {
|
|
|
|
|
if (RB_RIGHT(tmp) == nullptr || RB_IS_BLACK(RB_RIGHT(tmp))) {
|
|
|
|
|
Node* oleft;
|
|
|
|
|
if ((oleft = RB_LEFT(tmp)) != nullptr) {
|
|
|
|
|
RB_SET_COLOR(oleft, EntryColor::Black);
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
RB_SET_COLOR(tmp, EntryColor::Red);
|
|
|
|
|
RB_ROTATE_RIGHT(head, tmp, oleft);
|
|
|
|
|
tmp = RB_RIGHT(parent);
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
RB_SET_COLOR(tmp, RB_COLOR(parent));
|
|
|
|
|
RB_SET_COLOR(parent, EntryColor::Black);
|
|
|
|
|
if (RB_RIGHT(tmp)) {
|
|
|
|
|
RB_SET_COLOR(RB_RIGHT(tmp), EntryColor::Black);
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
RB_ROTATE_LEFT(head, parent, tmp);
|
|
|
|
|
elm = head->Root();
|
|
|
|
|
break;
|
|
|
|
|
}
|
|
|
|
|
} else {
|
|
|
|
|
tmp = RB_LEFT(parent);
|
|
|
|
|
if (RB_IS_RED(tmp)) {
|
|
|
|
|
RB_SET_BLACKRED(tmp, parent);
|
|
|
|
|
RB_ROTATE_RIGHT(head, parent, tmp);
|
|
|
|
|
tmp = RB_LEFT(parent);
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
if (!tmp) {
|
|
|
|
|
ASSERT_MSG(false, "tmp is invalid!");
|
|
|
|
|
break;
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
if ((RB_LEFT(tmp) == nullptr || RB_IS_BLACK(RB_LEFT(tmp))) &&
|
|
|
|
|
(RB_RIGHT(tmp) == nullptr || RB_IS_BLACK(RB_RIGHT(tmp)))) {
|
|
|
|
|
RB_SET_COLOR(tmp, EntryColor::Red);
|
|
|
|
|
elm = parent;
|
|
|
|
|
parent = RB_PARENT(elm);
|
|
|
|
|
} else {
|
|
|
|
|
if (RB_LEFT(tmp) == nullptr || RB_IS_BLACK(RB_LEFT(tmp))) {
|
|
|
|
|
Node* oright;
|
|
|
|
|
if ((oright = RB_RIGHT(tmp)) != nullptr) {
|
|
|
|
|
RB_SET_COLOR(oright, EntryColor::Black);
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
RB_SET_COLOR(tmp, EntryColor::Red);
|
|
|
|
|
RB_ROTATE_LEFT(head, tmp, oright);
|
|
|
|
|
tmp = RB_LEFT(parent);
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
RB_SET_COLOR(tmp, RB_COLOR(parent));
|
|
|
|
|
RB_SET_COLOR(parent, EntryColor::Black);
|
|
|
|
|
|
|
|
|
|
if (RB_LEFT(tmp)) {
|
|
|
|
|
RB_SET_COLOR(RB_LEFT(tmp), EntryColor::Black);
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
RB_ROTATE_RIGHT(head, parent, tmp);
|
|
|
|
|
elm = head->Root();
|
|
|
|
|
break;
|
|
|
|
|
}
|
|
|
|
|
}
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
if (elm) {
|
|
|
|
|
RB_SET_COLOR(elm, EntryColor::Black);
|
|
|
|
|
}
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
template <typename Node>
|
|
|
|
|
Node* RB_REMOVE(RBHead<Node>* head, Node* elm) {
|
|
|
|
|
Node* child = nullptr;
|
|
|
|
|
Node* parent = nullptr;
|
|
|
|
|
Node* old = elm;
|
|
|
|
|
EntryColor color{};
|
|
|
|
|
|
|
|
|
|
const auto finalize = [&] {
|
|
|
|
|
if (color == EntryColor::Black) {
|
|
|
|
|
RB_REMOVE_COLOR(head, parent, child);
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
return old;
|
|
|
|
|
};
|
|
|
|
|
|
|
|
|
|
if (RB_LEFT(elm) == nullptr) {
|
|
|
|
|
child = RB_RIGHT(elm);
|
|
|
|
|
} else if (RB_RIGHT(elm) == nullptr) {
|
|
|
|
|
child = RB_LEFT(elm);
|
|
|
|
|
} else {
|
|
|
|
|
Node* left;
|
|
|
|
|
elm = RB_RIGHT(elm);
|
|
|
|
|
while ((left = RB_LEFT(elm)) != nullptr) {
|
|
|
|
|
elm = left;
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
child = RB_RIGHT(elm);
|
|
|
|
|
parent = RB_PARENT(elm);
|
|
|
|
|
color = RB_COLOR(elm);
|
|
|
|
|
|
|
|
|
|
if (child) {
|
|
|
|
|
RB_SET_PARENT(child, parent);
|
|
|
|
|
}
|
|
|
|
|
if (parent) {
|
|
|
|
|
if (RB_LEFT(parent) == elm) {
|
|
|
|
|
RB_SET_LEFT(parent, child);
|
|
|
|
|
} else {
|
|
|
|
|
RB_SET_RIGHT(parent, child);
|
|
|
|
|
}
|
|
|
|
|
} else {
|
|
|
|
|
head->SetRoot(child);
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
if (RB_PARENT(elm) == old) {
|
|
|
|
|
parent = elm;
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
elm->SetEntry(old->GetEntry());
|
|
|
|
|
|
|
|
|
|
if (RB_PARENT(old)) {
|
|
|
|
|
if (RB_LEFT(RB_PARENT(old)) == old) {
|
|
|
|
|
RB_SET_LEFT(RB_PARENT(old), elm);
|
|
|
|
|
} else {
|
|
|
|
|
RB_SET_RIGHT(RB_PARENT(old), elm);
|
|
|
|
|
}
|
|
|
|
|
} else {
|
|
|
|
|
head->SetRoot(elm);
|
|
|
|
|
}
|
|
|
|
|
RB_SET_PARENT(RB_LEFT(old), elm);
|
|
|
|
|
if (RB_RIGHT(old)) {
|
|
|
|
|
RB_SET_PARENT(RB_RIGHT(old), elm);
|
|
|
|
|
}
|
|
|
|
|
if (parent) {
|
|
|
|
|
left = parent;
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
return finalize();
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
parent = RB_PARENT(elm);
|
|
|
|
|
color = RB_COLOR(elm);
|
|
|
|
|
|
|
|
|
|
if (child) {
|
|
|
|
|
RB_SET_PARENT(child, parent);
|
|
|
|
|
}
|
|
|
|
|
if (parent) {
|
|
|
|
|
if (RB_LEFT(parent) == elm) {
|
|
|
|
|
RB_SET_LEFT(parent, child);
|
|
|
|
|
} else {
|
|
|
|
|
RB_SET_RIGHT(parent, child);
|
|
|
|
|
}
|
|
|
|
|
} else {
|
|
|
|
|
head->SetRoot(child);
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
return finalize();
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
// Inserts a node into the RB tree
|
|
|
|
|
template <typename Node, typename CompareFunction>
|
|
|
|
|
Node* RB_INSERT(RBHead<Node>* head, Node* elm, CompareFunction cmp) {
|
|
|
|
|
Node* parent = nullptr;
|
|
|
|
|
Node* tmp = head->Root();
|
|
|
|
|
template <typename T, typename Compare>
|
|
|
|
|
requires HasRBEntry<T>
|
|
|
|
|
constexpr T* RB_INSERT(RBHead<T>& head, T* elm, Compare cmp) {
|
|
|
|
|
T* parent = nullptr;
|
|
|
|
|
T* tmp = head.Root();
|
|
|
|
|
int comp = 0;
|
|
|
|
|
|
|
|
|
|
while (tmp) {
|
|
|
|
@ -529,17 +548,17 @@ Node* RB_INSERT(RBHead<Node>* head, Node* elm, CompareFunction cmp) {
|
|
|
|
|
RB_SET_RIGHT(parent, elm);
|
|
|
|
|
}
|
|
|
|
|
} else {
|
|
|
|
|
head->SetRoot(elm);
|
|
|
|
|
head.SetRoot(elm);
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
RB_INSERT_COLOR(head, elm);
|
|
|
|
|
return nullptr;
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
// Finds the node with the same key as elm
|
|
|
|
|
template <typename Node, typename CompareFunction>
|
|
|
|
|
Node* RB_FIND(RBHead<Node>* head, Node* elm, CompareFunction cmp) {
|
|
|
|
|
Node* tmp = head->Root();
|
|
|
|
|
template <typename T, typename Compare>
|
|
|
|
|
requires HasRBEntry<T>
|
|
|
|
|
constexpr T* RB_FIND(RBHead<T>& head, T* elm, Compare cmp) {
|
|
|
|
|
T* tmp = head.Root();
|
|
|
|
|
|
|
|
|
|
while (tmp) {
|
|
|
|
|
const int comp = cmp(elm, tmp);
|
|
|
|
@ -555,11 +574,11 @@ Node* RB_FIND(RBHead<Node>* head, Node* elm, CompareFunction cmp) {
|
|
|
|
|
return nullptr;
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
// Finds the first node greater than or equal to the search key
|
|
|
|
|
template <typename Node, typename CompareFunction>
|
|
|
|
|
Node* RB_NFIND(RBHead<Node>* head, Node* elm, CompareFunction cmp) {
|
|
|
|
|
Node* tmp = head->Root();
|
|
|
|
|
Node* res = nullptr;
|
|
|
|
|
template <typename T, typename Compare>
|
|
|
|
|
requires HasRBEntry<T>
|
|
|
|
|
constexpr T* RB_NFIND(RBHead<T>& head, T* elm, Compare cmp) {
|
|
|
|
|
T* tmp = head.Root();
|
|
|
|
|
T* res = nullptr;
|
|
|
|
|
|
|
|
|
|
while (tmp) {
|
|
|
|
|
const int comp = cmp(elm, tmp);
|
|
|
|
@ -576,13 +595,13 @@ Node* RB_NFIND(RBHead<Node>* head, Node* elm, CompareFunction cmp) {
|
|
|
|
|
return res;
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
// Finds the node with the same key as lelm
|
|
|
|
|
template <typename Node, typename CompareFunction>
|
|
|
|
|
Node* RB_FIND_LIGHT(RBHead<Node>* head, const void* lelm, CompareFunction lcmp) {
|
|
|
|
|
Node* tmp = head->Root();
|
|
|
|
|
template <typename T, typename U, typename Compare>
|
|
|
|
|
requires HasRBEntry<T>
|
|
|
|
|
constexpr T* RB_FIND_KEY(RBHead<T>& head, const U& key, Compare cmp) {
|
|
|
|
|
T* tmp = head.Root();
|
|
|
|
|
|
|
|
|
|
while (tmp) {
|
|
|
|
|
const int comp = lcmp(lelm, tmp);
|
|
|
|
|
const int comp = cmp(key, tmp);
|
|
|
|
|
if (comp < 0) {
|
|
|
|
|
tmp = RB_LEFT(tmp);
|
|
|
|
|
} else if (comp > 0) {
|
|
|
|
@ -595,14 +614,14 @@ Node* RB_FIND_LIGHT(RBHead<Node>* head, const void* lelm, CompareFunction lcmp)
|
|
|
|
|
return nullptr;
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
// Finds the first node greater than or equal to the search key
|
|
|
|
|
template <typename Node, typename CompareFunction>
|
|
|
|
|
Node* RB_NFIND_LIGHT(RBHead<Node>* head, const void* lelm, CompareFunction lcmp) {
|
|
|
|
|
Node* tmp = head->Root();
|
|
|
|
|
Node* res = nullptr;
|
|
|
|
|
template <typename T, typename U, typename Compare>
|
|
|
|
|
requires HasRBEntry<T>
|
|
|
|
|
constexpr T* RB_NFIND_KEY(RBHead<T>& head, const U& key, Compare cmp) {
|
|
|
|
|
T* tmp = head.Root();
|
|
|
|
|
T* res = nullptr;
|
|
|
|
|
|
|
|
|
|
while (tmp) {
|
|
|
|
|
const int comp = lcmp(lelm, tmp);
|
|
|
|
|
const int comp = cmp(key, tmp);
|
|
|
|
|
if (comp < 0) {
|
|
|
|
|
res = tmp;
|
|
|
|
|
tmp = RB_LEFT(tmp);
|
|
|
|
@ -616,8 +635,43 @@ Node* RB_NFIND_LIGHT(RBHead<Node>* head, const void* lelm, CompareFunction lcmp)
|
|
|
|
|
return res;
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
template <typename Node>
|
|
|
|
|
Node* RB_NEXT(Node* elm) {
|
|
|
|
|
template <typename T, typename Compare>
|
|
|
|
|
requires HasRBEntry<T>
|
|
|
|
|
constexpr T* RB_FIND_EXISTING(RBHead<T>& head, T* elm, Compare cmp) {
|
|
|
|
|
T* tmp = head.Root();
|
|
|
|
|
|
|
|
|
|
while (true) {
|
|
|
|
|
const int comp = cmp(elm, tmp);
|
|
|
|
|
if (comp < 0) {
|
|
|
|
|
tmp = RB_LEFT(tmp);
|
|
|
|
|
} else if (comp > 0) {
|
|
|
|
|
tmp = RB_RIGHT(tmp);
|
|
|
|
|
} else {
|
|
|
|
|
return tmp;
|
|
|
|
|
}
|
|
|
|
|
}
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
template <typename T, typename U, typename Compare>
|
|
|
|
|
requires HasRBEntry<T>
|
|
|
|
|
constexpr T* RB_FIND_EXISTING_KEY(RBHead<T>& head, const U& key, Compare cmp) {
|
|
|
|
|
T* tmp = head.Root();
|
|
|
|
|
|
|
|
|
|
while (true) {
|
|
|
|
|
const int comp = cmp(key, tmp);
|
|
|
|
|
if (comp < 0) {
|
|
|
|
|
tmp = RB_LEFT(tmp);
|
|
|
|
|
} else if (comp > 0) {
|
|
|
|
|
tmp = RB_RIGHT(tmp);
|
|
|
|
|
} else {
|
|
|
|
|
return tmp;
|
|
|
|
|
}
|
|
|
|
|
}
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
template <typename T>
|
|
|
|
|
requires HasRBEntry<T>
|
|
|
|
|
constexpr T* RB_NEXT(T* elm) {
|
|
|
|
|
if (RB_RIGHT(elm)) {
|
|
|
|
|
elm = RB_RIGHT(elm);
|
|
|
|
|
while (RB_LEFT(elm)) {
|
|
|
|
@ -636,8 +690,9 @@ Node* RB_NEXT(Node* elm) {
|
|
|
|
|
return elm;
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
template <typename Node>
|
|
|
|
|
Node* RB_PREV(Node* elm) {
|
|
|
|
|
template <typename T>
|
|
|
|
|
requires HasRBEntry<T>
|
|
|
|
|
constexpr T* RB_PREV(T* elm) {
|
|
|
|
|
if (RB_LEFT(elm)) {
|
|
|
|
|
elm = RB_LEFT(elm);
|
|
|
|
|
while (RB_RIGHT(elm)) {
|
|
|
|
@ -656,30 +711,32 @@ Node* RB_PREV(Node* elm) {
|
|
|
|
|
return elm;
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
template <typename Node>
|
|
|
|
|
Node* RB_MINMAX(RBHead<Node>* head, bool is_min) {
|
|
|
|
|
Node* tmp = head->Root();
|
|
|
|
|
Node* parent = nullptr;
|
|
|
|
|
template <typename T>
|
|
|
|
|
requires HasRBEntry<T>
|
|
|
|
|
constexpr T* RB_MIN(RBHead<T>& head) {
|
|
|
|
|
T* tmp = head.Root();
|
|
|
|
|
T* parent = nullptr;
|
|
|
|
|
|
|
|
|
|
while (tmp) {
|
|
|
|
|
parent = tmp;
|
|
|
|
|
if (is_min) {
|
|
|
|
|
tmp = RB_LEFT(tmp);
|
|
|
|
|
} else {
|
|
|
|
|
tmp = RB_RIGHT(tmp);
|
|
|
|
|
}
|
|
|
|
|
tmp = RB_LEFT(tmp);
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
return parent;
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
template <typename Node>
|
|
|
|
|
Node* RB_MIN(RBHead<Node>* head) {
|
|
|
|
|
return RB_MINMAX(head, true);
|
|
|
|
|
template <typename T>
|
|
|
|
|
requires HasRBEntry<T>
|
|
|
|
|
constexpr T* RB_MAX(RBHead<T>& head) {
|
|
|
|
|
T* tmp = head.Root();
|
|
|
|
|
T* parent = nullptr;
|
|
|
|
|
|
|
|
|
|
while (tmp) {
|
|
|
|
|
parent = tmp;
|
|
|
|
|
tmp = RB_RIGHT(tmp);
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
return parent;
|
|
|
|
|
}
|
|
|
|
|
|
|
|
|
|
template <typename Node>
|
|
|
|
|
Node* RB_MAX(RBHead<Node>* head) {
|
|
|
|
|
return RB_MINMAX(head, false);
|
|
|
|
|
}
|
|
|
|
|
} // namespace Common
|
|
|
|
|
} // namespace Common::freebsd
|
|
|
|
|