From fb43b8efd22eaf0eaccf0c9ddc70cf2e06deafeb Mon Sep 17 00:00:00 2001 From: bunnei Date: Sun, 27 Dec 2020 01:58:16 -0800 Subject: [PATCH] common: Introduce useful tree structures. --- src/common/CMakeLists.txt | 3 + src/common/intrusive_red_black_tree.h | 627 ++++++++++++++++++++ src/common/parent_of_member.h | 189 ++++++ src/common/tree.h | 822 ++++++++++++++++++++++++++ 4 files changed, 1641 insertions(+) create mode 100644 src/common/intrusive_red_black_tree.h create mode 100644 src/common/parent_of_member.h create mode 100644 src/common/tree.h diff --git a/src/common/CMakeLists.txt b/src/common/CMakeLists.txt index 2c2bd2ee8..5d781cd77 100644 --- a/src/common/CMakeLists.txt +++ b/src/common/CMakeLists.txt @@ -123,6 +123,7 @@ add_library(common STATIC hash.h hex_util.cpp hex_util.h + intrusive_red_black_tree.h logging/backend.cpp logging/backend.h logging/filter.cpp @@ -143,6 +144,7 @@ add_library(common STATIC page_table.h param_package.cpp param_package.h + parent_of_member.h quaternion.h ring_buffer.h scm_rev.cpp @@ -167,6 +169,7 @@ add_library(common STATIC time_zone.h timer.cpp timer.h + tree.h uint128.cpp uint128.h uuid.cpp diff --git a/src/common/intrusive_red_black_tree.h b/src/common/intrusive_red_black_tree.h new file mode 100644 index 000000000..929b5497e --- /dev/null +++ b/src/common/intrusive_red_black_tree.h @@ -0,0 +1,627 @@ +// Copyright 2021 yuzu Emulator Project +// Licensed under GPLv2 or any later version +// Refer to the license.txt file included. + +#pragma once + +#include "common/parent_of_member.h" +#include "common/tree.h" + +namespace Common { + +namespace impl { + +class IntrusiveRedBlackTreeImpl; + +} + +struct IntrusiveRedBlackTreeNode { + +private: + RB_ENTRY(IntrusiveRedBlackTreeNode) entry{}; + + friend class impl::IntrusiveRedBlackTreeImpl; + + template + friend class IntrusiveRedBlackTree; + +public: + constexpr IntrusiveRedBlackTreeNode() = default; +}; + +template +class IntrusiveRedBlackTree; + +namespace impl { + +class IntrusiveRedBlackTreeImpl { + +private: + template + friend class ::Common::IntrusiveRedBlackTree; + +private: + RB_HEAD(IntrusiveRedBlackTreeRoot, IntrusiveRedBlackTreeNode); + using RootType = IntrusiveRedBlackTreeRoot; + +private: + IntrusiveRedBlackTreeRoot root; + +public: + template + class Iterator; + + using value_type = IntrusiveRedBlackTreeNode; + using size_type = size_t; + using difference_type = ptrdiff_t; + using pointer = value_type*; + using const_pointer = const value_type*; + using reference = value_type&; + using const_reference = const value_type&; + using iterator = Iterator; + using const_iterator = Iterator; + + template + class Iterator { + public: + using iterator_category = std::bidirectional_iterator_tag; + using value_type = typename IntrusiveRedBlackTreeImpl::value_type; + using difference_type = typename IntrusiveRedBlackTreeImpl::difference_type; + using pointer = std::conditional_t; + using reference = std::conditional_t; + + private: + pointer node; + + public: + explicit Iterator(pointer n) : node(n) {} + + bool operator==(const Iterator& rhs) const { + return this->node == rhs.node; + } + + bool operator!=(const Iterator& rhs) const { + return !(*this == rhs); + } + + pointer operator->() const { + return this->node; + } + + reference operator*() const { + return *this->node; + } + + Iterator& operator++() { + this->node = GetNext(this->node); + return *this; + } + + Iterator& operator--() { + this->node = GetPrev(this->node); + return *this; + } + + Iterator operator++(int) { + const Iterator it{*this}; + ++(*this); + return it; + } + + Iterator operator--(int) { + const Iterator it{*this}; + --(*this); + return it; + } + + operator Iterator() const { + return Iterator(this->node); + } + }; + +protected: + // Generate static implementations for non-comparison operations for IntrusiveRedBlackTreeRoot. + RB_GENERATE_WITHOUT_COMPARE_STATIC(IntrusiveRedBlackTreeRoot, IntrusiveRedBlackTreeNode, entry); + +private: + // Define accessors using RB_* functions. + constexpr void InitializeImpl() { + RB_INIT(&this->root); + } + + bool EmptyImpl() const { + return RB_EMPTY(&this->root); + } + + IntrusiveRedBlackTreeNode* GetMinImpl() const { + return RB_MIN(IntrusiveRedBlackTreeRoot, + const_cast(&this->root)); + } + + IntrusiveRedBlackTreeNode* GetMaxImpl() const { + return RB_MAX(IntrusiveRedBlackTreeRoot, + const_cast(&this->root)); + } + + IntrusiveRedBlackTreeNode* RemoveImpl(IntrusiveRedBlackTreeNode* node) { + return RB_REMOVE(IntrusiveRedBlackTreeRoot, &this->root, node); + } + +public: + static IntrusiveRedBlackTreeNode* GetNext(IntrusiveRedBlackTreeNode* node) { + return RB_NEXT(IntrusiveRedBlackTreeRoot, nullptr, node); + } + + static IntrusiveRedBlackTreeNode* GetPrev(IntrusiveRedBlackTreeNode* node) { + return RB_PREV(IntrusiveRedBlackTreeRoot, nullptr, node); + } + + static IntrusiveRedBlackTreeNode const* GetNext(const IntrusiveRedBlackTreeNode* node) { + return static_cast( + GetNext(const_cast(node))); + } + + static IntrusiveRedBlackTreeNode const* GetPrev(const IntrusiveRedBlackTreeNode* node) { + return static_cast( + GetPrev(const_cast(node))); + } + +public: + constexpr IntrusiveRedBlackTreeImpl() : root() { + this->InitializeImpl(); + } + + // Iterator accessors. + iterator begin() { + return iterator(this->GetMinImpl()); + } + + const_iterator begin() const { + return const_iterator(this->GetMinImpl()); + } + + iterator end() { + return iterator(static_cast(nullptr)); + } + + const_iterator end() const { + return const_iterator(static_cast(nullptr)); + } + + const_iterator cbegin() const { + return this->begin(); + } + + const_iterator cend() const { + return this->end(); + } + + iterator iterator_to(reference ref) { + return iterator(&ref); + } + + const_iterator iterator_to(const_reference ref) const { + return const_iterator(&ref); + } + + // Content management. + bool empty() const { + return this->EmptyImpl(); + } + + reference back() { + return *this->GetMaxImpl(); + } + + const_reference back() const { + return *this->GetMaxImpl(); + } + + reference front() { + return *this->GetMinImpl(); + } + + const_reference front() const { + return *this->GetMinImpl(); + } + + iterator erase(iterator it) { + auto cur = std::addressof(*it); + auto next = GetNext(cur); + this->RemoveImpl(cur); + return iterator(next); + } +}; + +} // namespace impl + +template +concept HasLightCompareType = requires { + { std::is_same::value } + ->std::convertible_to; +}; + +namespace impl { + +template +consteval auto* GetLightCompareType() { + if constexpr (HasLightCompareType) { + return static_cast(nullptr); + } else { + return static_cast(nullptr); + } +} + +} // namespace impl + +template +using LightCompareType = std::remove_pointer_t())>; + +template +class IntrusiveRedBlackTree { + +public: + using ImplType = impl::IntrusiveRedBlackTreeImpl; + +private: + ImplType impl{}; + +public: + struct IntrusiveRedBlackTreeRootWithCompare : ImplType::IntrusiveRedBlackTreeRoot {}; + + template + class Iterator; + + using value_type = T; + using size_type = size_t; + using difference_type = ptrdiff_t; + using pointer = T*; + using const_pointer = const T*; + using reference = T&; + using const_reference = const T&; + using iterator = Iterator; + using const_iterator = Iterator; + + using light_value_type = LightCompareType; + using const_light_pointer = const light_value_type*; + using const_light_reference = const light_value_type&; + + template + class Iterator { + public: + friend class IntrusiveRedBlackTree; + + using ImplIterator = + std::conditional_t; + + using iterator_category = std::bidirectional_iterator_tag; + using value_type = typename IntrusiveRedBlackTree::value_type; + using difference_type = typename IntrusiveRedBlackTree::difference_type; + using pointer = std::conditional_t; + using reference = std::conditional_t; + + private: + ImplIterator iterator; + + private: + explicit Iterator(ImplIterator it) : iterator(it) {} + + explicit Iterator(typename std::conditional::type::pointer ptr) + : iterator(ptr) {} + + ImplIterator GetImplIterator() const { + return this->iterator; + } + + public: + bool operator==(const Iterator& rhs) const { + return this->iterator == rhs.iterator; + } + + bool operator!=(const Iterator& rhs) const { + return !(*this == rhs); + } + + pointer operator->() const { + return Traits::GetParent(std::addressof(*this->iterator)); + } + + reference operator*() const { + return *Traits::GetParent(std::addressof(*this->iterator)); + } + + Iterator& operator++() { + ++this->iterator; + return *this; + } + + Iterator& operator--() { + --this->iterator; + return *this; + } + + Iterator operator++(int) { + const Iterator it{*this}; + ++this->iterator; + return it; + } + + Iterator operator--(int) { + const Iterator it{*this}; + --this->iterator; + return it; + } + + operator Iterator() const { + return Iterator(this->iterator); + } + }; + +private: + // Generate static implementations for comparison operations for IntrusiveRedBlackTreeRoot. + RB_GENERATE_WITH_COMPARE_STATIC(IntrusiveRedBlackTreeRootWithCompare, IntrusiveRedBlackTreeNode, + entry, CompareImpl, LightCompareImpl); + +private: + static int CompareImpl(const IntrusiveRedBlackTreeNode* lhs, + const IntrusiveRedBlackTreeNode* rhs) { + return Comparator::Compare(*Traits::GetParent(lhs), *Traits::GetParent(rhs)); + } + + static int LightCompareImpl(const void* elm, const IntrusiveRedBlackTreeNode* rhs) { + return Comparator::Compare(*static_cast(elm), *Traits::GetParent(rhs)); + } + + // Define accessors using RB_* functions. + IntrusiveRedBlackTreeNode* InsertImpl(IntrusiveRedBlackTreeNode* node) { + return RB_INSERT(IntrusiveRedBlackTreeRootWithCompare, + static_cast(&this->impl.root), + node); + } + + IntrusiveRedBlackTreeNode* FindImpl(const IntrusiveRedBlackTreeNode* node) const { + return RB_FIND( + IntrusiveRedBlackTreeRootWithCompare, + const_cast( + static_cast(&this->impl.root)), + const_cast(node)); + } + + IntrusiveRedBlackTreeNode* NFindImpl(const IntrusiveRedBlackTreeNode* node) const { + return RB_NFIND( + IntrusiveRedBlackTreeRootWithCompare, + const_cast( + static_cast(&this->impl.root)), + const_cast(node)); + } + + IntrusiveRedBlackTreeNode* FindLightImpl(const_light_pointer lelm) const { + return RB_FIND_LIGHT( + IntrusiveRedBlackTreeRootWithCompare, + const_cast( + static_cast(&this->impl.root)), + static_cast(lelm)); + } + + IntrusiveRedBlackTreeNode* NFindLightImpl(const_light_pointer lelm) const { + return RB_NFIND_LIGHT( + IntrusiveRedBlackTreeRootWithCompare, + const_cast( + static_cast(&this->impl.root)), + static_cast(lelm)); + } + +public: + constexpr IntrusiveRedBlackTree() = default; + + // Iterator accessors. + iterator begin() { + return iterator(this->impl.begin()); + } + + const_iterator begin() const { + return const_iterator(this->impl.begin()); + } + + iterator end() { + return iterator(this->impl.end()); + } + + const_iterator end() const { + return const_iterator(this->impl.end()); + } + + const_iterator cbegin() const { + return this->begin(); + } + + const_iterator cend() const { + return this->end(); + } + + iterator iterator_to(reference ref) { + return iterator(this->impl.iterator_to(*Traits::GetNode(std::addressof(ref)))); + } + + const_iterator iterator_to(const_reference ref) const { + return const_iterator(this->impl.iterator_to(*Traits::GetNode(std::addressof(ref)))); + } + + // Content management. + bool empty() const { + return this->impl.empty(); + } + + reference back() { + return *Traits::GetParent(std::addressof(this->impl.back())); + } + + const_reference back() const { + return *Traits::GetParent(std::addressof(this->impl.back())); + } + + reference front() { + return *Traits::GetParent(std::addressof(this->impl.front())); + } + + const_reference front() const { + return *Traits::GetParent(std::addressof(this->impl.front())); + } + + iterator erase(iterator it) { + return iterator(this->impl.erase(it.GetImplIterator())); + } + + iterator insert(reference ref) { + ImplType::pointer node = Traits::GetNode(std::addressof(ref)); + this->InsertImpl(node); + return iterator(node); + } + + iterator find(const_reference ref) const { + return iterator(this->FindImpl(Traits::GetNode(std::addressof(ref)))); + } + + iterator nfind(const_reference ref) const { + return iterator(this->NFindImpl(Traits::GetNode(std::addressof(ref)))); + } + + iterator find_light(const_light_reference ref) const { + return iterator(this->FindLightImpl(std::addressof(ref))); + } + + iterator nfind_light(const_light_reference ref) const { + return iterator(this->NFindLightImpl(std::addressof(ref))); + } +}; + +template > +class IntrusiveRedBlackTreeMemberTraits; + +template +class IntrusiveRedBlackTreeMemberTraits { +public: + template + using TreeType = IntrusiveRedBlackTree; + using TreeTypeImpl = impl::IntrusiveRedBlackTreeImpl; + +private: + template + friend class IntrusiveRedBlackTree; + + friend class impl::IntrusiveRedBlackTreeImpl; + + static constexpr IntrusiveRedBlackTreeNode* GetNode(Derived* parent) { + return std::addressof(parent->*Member); + } + + static constexpr IntrusiveRedBlackTreeNode const* GetNode(Derived const* parent) { + return std::addressof(parent->*Member); + } + + static constexpr Derived* GetParent(IntrusiveRedBlackTreeNode* node) { + return GetParentPointer(node); + } + + static constexpr Derived const* GetParent(const IntrusiveRedBlackTreeNode* node) { + return GetParentPointer(node); + } + +private: + static constexpr TYPED_STORAGE(Derived) DerivedStorage = {}; + static_assert(GetParent(GetNode(GetPointer(DerivedStorage))) == GetPointer(DerivedStorage)); +}; + +template > +class IntrusiveRedBlackTreeMemberTraitsDeferredAssert; + +template +class IntrusiveRedBlackTreeMemberTraitsDeferredAssert { +public: + template + using TreeType = + IntrusiveRedBlackTree; + using TreeTypeImpl = impl::IntrusiveRedBlackTreeImpl; + + static constexpr bool IsValid() { + TYPED_STORAGE(Derived) DerivedStorage = {}; + return GetParent(GetNode(GetPointer(DerivedStorage))) == GetPointer(DerivedStorage); + } + +private: + template + friend class IntrusiveRedBlackTree; + + friend class impl::IntrusiveRedBlackTreeImpl; + + static constexpr IntrusiveRedBlackTreeNode* GetNode(Derived* parent) { + return std::addressof(parent->*Member); + } + + static constexpr IntrusiveRedBlackTreeNode const* GetNode(Derived const* parent) { + return std::addressof(parent->*Member); + } + + static constexpr Derived* GetParent(IntrusiveRedBlackTreeNode* node) { + return GetParentPointer(node); + } + + static constexpr Derived const* GetParent(const IntrusiveRedBlackTreeNode* node) { + return GetParentPointer(node); + } +}; + +template +class IntrusiveRedBlackTreeBaseNode : public IntrusiveRedBlackTreeNode { +public: + constexpr Derived* GetPrev() { + return static_cast(impl::IntrusiveRedBlackTreeImpl::GetPrev(this)); + } + constexpr const Derived* GetPrev() const { + return static_cast(impl::IntrusiveRedBlackTreeImpl::GetPrev(this)); + } + + constexpr Derived* GetNext() { + return static_cast(impl::IntrusiveRedBlackTreeImpl::GetNext(this)); + } + constexpr const Derived* GetNext() const { + return static_cast(impl::IntrusiveRedBlackTreeImpl::GetNext(this)); + } +}; + +template +class IntrusiveRedBlackTreeBaseTraits { +public: + template + using TreeType = IntrusiveRedBlackTree; + using TreeTypeImpl = impl::IntrusiveRedBlackTreeImpl; + +private: + template + friend class IntrusiveRedBlackTree; + + friend class impl::IntrusiveRedBlackTreeImpl; + + static constexpr IntrusiveRedBlackTreeNode* GetNode(Derived* parent) { + return static_cast(parent); + } + + static constexpr IntrusiveRedBlackTreeNode const* GetNode(Derived const* parent) { + return static_cast(parent); + } + + static constexpr Derived* GetParent(IntrusiveRedBlackTreeNode* node) { + return static_cast(node); + } + + static constexpr Derived const* GetParent(const IntrusiveRedBlackTreeNode* node) { + return static_cast(node); + } +}; + +} // namespace Common diff --git a/src/common/parent_of_member.h b/src/common/parent_of_member.h new file mode 100644 index 000000000..1af31ee44 --- /dev/null +++ b/src/common/parent_of_member.h @@ -0,0 +1,189 @@ +// Copyright 2021 yuzu Emulator Project +// Licensed under GPLv2 or any later version +// Refer to the license.txt file included. + +#pragma once + +#include + +#include "common/assert.h" +#include "common/common_types.h" + +namespace Common { + +template +struct TypedStorage { + std::aligned_storage_t storage_; +}; + +#define TYPED_STORAGE(...) TypedStorage<__VA_ARGS__, sizeof(__VA_ARGS__), alignof(__VA_ARGS__)> + +template +static constexpr T* GetPointer(TYPED_STORAGE(T) & ts) { + return static_cast(static_cast(std::addressof(ts.storage_))); +} + +template +static constexpr const T* GetPointer(const TYPED_STORAGE(T) & ts) { + return static_cast(static_cast(std::addressof(ts.storage_))); +} + +namespace impl { + +template +struct OffsetOfUnionHolder { + template + union UnionImpl { + using PaddingMember = char; + static constexpr size_t GetOffset() { + return Offset; + } + +#pragma pack(push, 1) + struct { + PaddingMember padding[Offset]; + MemberType members[(sizeof(ParentType) / sizeof(MemberType)) + 1]; + } data; +#pragma pack(pop) + UnionImpl next_union; + }; + + template + union UnionImpl { + static constexpr size_t GetOffset() { + return 0; + } + + struct { + MemberType members[(sizeof(ParentType) / sizeof(MemberType)) + 1]; + } data; + UnionImpl next_union; + }; + + template + union UnionImpl {}; +}; + +template +struct OffsetOfCalculator { + using UnionHolder = + typename OffsetOfUnionHolder::template UnionImpl; + union Union { + char c{}; + UnionHolder first_union; + TYPED_STORAGE(ParentType) parent; + + constexpr Union() : c() {} + }; + static constexpr Union U = {}; + + static constexpr const MemberType* GetNextAddress(const MemberType* start, + const MemberType* target) { + while (start < target) { + start++; + } + return start; + } + + static constexpr std::ptrdiff_t GetDifference(const MemberType* start, + const MemberType* target) { + return (target - start) * sizeof(MemberType); + } + + template + static constexpr std::ptrdiff_t OffsetOfImpl(MemberType ParentType::*member, + CurUnion& cur_union) { + constexpr size_t Offset = CurUnion::GetOffset(); + const auto target = std::addressof(GetPointer(U.parent)->*member); + const auto start = std::addressof(cur_union.data.members[0]); + const auto next = GetNextAddress(start, target); + + if (next != target) { + if constexpr (Offset < sizeof(MemberType) - 1) { + return OffsetOfImpl(member, cur_union.next_union); + } else { + UNREACHABLE(); + } + } + + return (next - start) * sizeof(MemberType) + Offset; + } + + static constexpr std::ptrdiff_t OffsetOf(MemberType ParentType::*member) { + return OffsetOfImpl(member, U.first_union); + } +}; + +template +struct GetMemberPointerTraits; + +template +struct GetMemberPointerTraits { + using Parent = P; + using Member = M; +}; + +template +using GetParentType = typename GetMemberPointerTraits::Parent; + +template +using GetMemberType = typename GetMemberPointerTraits::Member; + +template > +static inline std::ptrdiff_t OffsetOf = [] { + using DeducedParentType = GetParentType; + using MemberType = GetMemberType; + static_assert(std::is_base_of::value || + std::is_same::value); + + return OffsetOfCalculator::OffsetOf(MemberPtr); +}(); + +} // namespace impl + +template > +constexpr RealParentType& GetParentReference(impl::GetMemberType* member) { + std::ptrdiff_t Offset = impl::OffsetOf; + return *static_cast( + static_cast(static_cast(static_cast(member)) - Offset)); +} + +template > +constexpr RealParentType const& GetParentReference(impl::GetMemberType const* member) { + std::ptrdiff_t Offset = impl::OffsetOf; + return *static_cast(static_cast( + static_cast(static_cast(member)) - Offset)); +} + +template > +constexpr RealParentType* GetParentPointer(impl::GetMemberType* member) { + return std::addressof(GetParentReference(member)); +} + +template > +constexpr RealParentType const* GetParentPointer(impl::GetMemberType const* member) { + return std::addressof(GetParentReference(member)); +} + +template > +constexpr RealParentType& GetParentReference(impl::GetMemberType& member) { + return GetParentReference(std::addressof(member)); +} + +template > +constexpr RealParentType const& GetParentReference(impl::GetMemberType const& member) { + return GetParentReference(std::addressof(member)); +} + +template > +constexpr RealParentType* GetParentPointer(impl::GetMemberType& member) { + return std::addressof(GetParentReference(member)); +} + +template > +constexpr RealParentType const* GetParentPointer(impl::GetMemberType const& member) { + return std::addressof(GetParentReference(member)); +} + +} // namespace Common diff --git a/src/common/tree.h b/src/common/tree.h new file mode 100644 index 000000000..a6b636646 --- /dev/null +++ b/src/common/tree.h @@ -0,0 +1,822 @@ +/* $NetBSD: tree.h,v 1.8 2004/03/28 19:38:30 provos Exp $ */ +/* $OpenBSD: tree.h,v 1.7 2002/10/17 21:51:54 art Exp $ */ +/* $FreeBSD$ */ + +/*- + * Copyright 2002 Niels Provos + * All rights reserved. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions + * are met: + * 1. Redistributions of source code must retain the above copyright + * notice, this list of conditions and the following disclaimer. + * 2. Redistributions in binary form must reproduce the above copyright + * notice, this list of conditions and the following disclaimer in the + * documentation and/or other materials provided with the distribution. + * + * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR + * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES + * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. + * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT, + * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT + * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, + * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY + * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT + * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF + * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. + */ + +#ifndef _SYS_TREE_H_ +#define _SYS_TREE_H_ + +/* FreeBSD has a lot of defines we don't really want. */ +/* tree.h only actually uses __inline and __unused, so we'll just define those. */ + +/* #include */ + +#ifndef __inline +#define __inline inline +#endif + +/* + * This file defines data structures for different types of trees: + * splay trees and red-black trees. + * + * A splay tree is a self-organizing data structure. Every operation + * on the tree causes a splay to happen. The splay moves the requested + * node to the root of the tree and partly rebalances it. + * + * This has the benefit that request locality causes faster lookups as + * the requested nodes move to the top of the tree. On the other hand, + * every lookup causes memory writes. + * + * The Balance Theorem bounds the total access time for m operations + * and n inserts on an initially empty tree as O((m + n)lg n). The + * amortized cost for a sequence of m accesses to a splay tree is O(lg n); + * + * A red-black tree is a binary search tree with the node color as an + * extra attribute. It fulfills a set of conditions: + * - every search path from the root to a leaf consists of the + * same number of black nodes, + * - each red node (except for the root) has a black parent, + * - each leaf node is black. + * + * Every operation on a red-black tree is bounded as O(lg n). + * The maximum height of a red-black tree is 2lg (n+1). + */ + +#define SPLAY_HEAD(name, type) \ + struct name { \ + struct type* sph_root; /* root of the tree */ \ + } + +#define SPLAY_INITIALIZER(root) \ + { NULL } + +#define SPLAY_INIT(root) \ + do { \ + (root)->sph_root = NULL; \ + } while (/*CONSTCOND*/ 0) + +#define SPLAY_ENTRY(type) \ + struct { \ + struct type* spe_left; /* left element */ \ + struct type* spe_right; /* right element */ \ + } + +#define SPLAY_LEFT(elm, field) (elm)->field.spe_left +#define SPLAY_RIGHT(elm, field) (elm)->field.spe_right +#define SPLAY_ROOT(head) (head)->sph_root +#define SPLAY_EMPTY(head) (SPLAY_ROOT(head) == NULL) + +/* SPLAY_ROTATE_{LEFT,RIGHT} expect that tmp hold SPLAY_{RIGHT,LEFT} */ +#define SPLAY_ROTATE_RIGHT(head, tmp, field) \ + do { \ + SPLAY_LEFT((head)->sph_root, field) = SPLAY_RIGHT(tmp, field); \ + SPLAY_RIGHT(tmp, field) = (head)->sph_root; \ + (head)->sph_root = tmp; \ + } while (/*CONSTCOND*/ 0) + +#define SPLAY_ROTATE_LEFT(head, tmp, field) \ + do { \ + SPLAY_RIGHT((head)->sph_root, field) = SPLAY_LEFT(tmp, field); \ + SPLAY_LEFT(tmp, field) = (head)->sph_root; \ + (head)->sph_root = tmp; \ + } while (/*CONSTCOND*/ 0) + +#define SPLAY_LINKLEFT(head, tmp, field) \ + do { \ + SPLAY_LEFT(tmp, field) = (head)->sph_root; \ + tmp = (head)->sph_root; \ + (head)->sph_root = SPLAY_LEFT((head)->sph_root, field); \ + } while (/*CONSTCOND*/ 0) + +#define SPLAY_LINKRIGHT(head, tmp, field) \ + do { \ + SPLAY_RIGHT(tmp, field) = (head)->sph_root; \ + tmp = (head)->sph_root; \ + (head)->sph_root = SPLAY_RIGHT((head)->sph_root, field); \ + } while (/*CONSTCOND*/ 0) + +#define SPLAY_ASSEMBLE(head, node, left, right, field) \ + do { \ + SPLAY_RIGHT(left, field) = SPLAY_LEFT((head)->sph_root, field); \ + SPLAY_LEFT(right, field) = SPLAY_RIGHT((head)->sph_root, field); \ + SPLAY_LEFT((head)->sph_root, field) = SPLAY_RIGHT(node, field); \ + SPLAY_RIGHT((head)->sph_root, field) = SPLAY_LEFT(node, field); \ + } while (/*CONSTCOND*/ 0) + +/* Generates prototypes and inline functions */ + +#define SPLAY_PROTOTYPE(name, type, field, cmp) \ + void name##_SPLAY(struct name*, struct type*); \ + void name##_SPLAY_MINMAX(struct name*, int); \ + struct type* name##_SPLAY_INSERT(struct name*, struct type*); \ + struct type* name##_SPLAY_REMOVE(struct name*, struct type*); \ + \ + /* Finds the node with the same key as elm */ \ + static __inline struct type* name##_SPLAY_FIND(struct name* head, struct type* elm) { \ + if (SPLAY_EMPTY(head)) \ + return (NULL); \ + name##_SPLAY(head, elm); \ + if ((cmp)(elm, (head)->sph_root) == 0) \ + return (head->sph_root); \ + return (NULL); \ + } \ + \ + static __inline struct type* name##_SPLAY_NEXT(struct name* head, struct type* elm) { \ + name##_SPLAY(head, elm); \ + if (SPLAY_RIGHT(elm, field) != NULL) { \ + elm = SPLAY_RIGHT(elm, field); \ + while (SPLAY_LEFT(elm, field) != NULL) { \ + elm = SPLAY_LEFT(elm, field); \ + } \ + } else \ + elm = NULL; \ + return (elm); \ + } \ + \ + static __inline struct type* name##_SPLAY_MIN_MAX(struct name* head, int val) { \ + name##_SPLAY_MINMAX(head, val); \ + return (SPLAY_ROOT(head)); \ + } + +/* Main splay operation. + * Moves node close to the key of elm to top + */ +#define SPLAY_GENERATE(name, type, field, cmp) \ + struct type* name##_SPLAY_INSERT(struct name* head, struct type* elm) { \ + if (SPLAY_EMPTY(head)) { \ + SPLAY_LEFT(elm, field) = SPLAY_RIGHT(elm, field) = NULL; \ + } else { \ + int __comp; \ + name##_SPLAY(head, elm); \ + __comp = (cmp)(elm, (head)->sph_root); \ + if (__comp < 0) { \ + SPLAY_LEFT(elm, field) = SPLAY_LEFT((head)->sph_root, field); \ + SPLAY_RIGHT(elm, field) = (head)->sph_root; \ + SPLAY_LEFT((head)->sph_root, field) = NULL; \ + } else if (__comp > 0) { \ + SPLAY_RIGHT(elm, field) = SPLAY_RIGHT((head)->sph_root, field); \ + SPLAY_LEFT(elm, field) = (head)->sph_root; \ + SPLAY_RIGHT((head)->sph_root, field) = NULL; \ + } else \ + return ((head)->sph_root); \ + } \ + (head)->sph_root = (elm); \ + return (NULL); \ + } \ + \ + struct type* name##_SPLAY_REMOVE(struct name* head, struct type* elm) { \ + struct type* __tmp; \ + if (SPLAY_EMPTY(head)) \ + return (NULL); \ + name##_SPLAY(head, elm); \ + if ((cmp)(elm, (head)->sph_root) == 0) { \ + if (SPLAY_LEFT((head)->sph_root, field) == NULL) { \ + (head)->sph_root = SPLAY_RIGHT((head)->sph_root, field); \ + } else { \ + __tmp = SPLAY_RIGHT((head)->sph_root, field); \ + (head)->sph_root = SPLAY_LEFT((head)->sph_root, field); \ + name##_SPLAY(head, elm); \ + SPLAY_RIGHT((head)->sph_root, field) = __tmp; \ + } \ + return (elm); \ + } \ + return (NULL); \ + } \ + \ + void name##_SPLAY(struct name* head, struct type* elm) { \ + struct type __node, *__left, *__right, *__tmp; \ + int __comp; \ + \ + SPLAY_LEFT(&__node, field) = SPLAY_RIGHT(&__node, field) = NULL; \ + __left = __right = &__node; \ + \ + while ((__comp = (cmp)(elm, (head)->sph_root)) != 0) { \ + if (__comp < 0) { \ + __tmp = SPLAY_LEFT((head)->sph_root, field); \ + if (__tmp == NULL) \ + break; \ + if ((cmp)(elm, __tmp) < 0) { \ + SPLAY_ROTATE_RIGHT(head, __tmp, field); \ + if (SPLAY_LEFT((head)->sph_root, field) == NULL) \ + break; \ + } \ + SPLAY_LINKLEFT(head, __right, field); \ + } else if (__comp > 0) { \ + __tmp = SPLAY_RIGHT((head)->sph_root, field); \ + if (__tmp == NULL) \ + break; \ + if ((cmp)(elm, __tmp) > 0) { \ + SPLAY_ROTATE_LEFT(head, __tmp, field); \ + if (SPLAY_RIGHT((head)->sph_root, field) == NULL) \ + break; \ + } \ + SPLAY_LINKRIGHT(head, __left, field); \ + } \ + } \ + SPLAY_ASSEMBLE(head, &__node, __left, __right, field); \ + } \ + \ + /* Splay with either the minimum or the maximum element \ + * Used to find minimum or maximum element in tree. \ + */ \ + void name##_SPLAY_MINMAX(struct name* head, int __comp) { \ + struct type __node, *__left, *__right, *__tmp; \ + \ + SPLAY_LEFT(&__node, field) = SPLAY_RIGHT(&__node, field) = NULL; \ + __left = __right = &__node; \ + \ + while (1) { \ + if (__comp < 0) { \ + __tmp = SPLAY_LEFT((head)->sph_root, field); \ + if (__tmp == NULL) \ + break; \ + if (__comp < 0) { \ + SPLAY_ROTATE_RIGHT(head, __tmp, field); \ + if (SPLAY_LEFT((head)->sph_root, field) == NULL) \ + break; \ + } \ + SPLAY_LINKLEFT(head, __right, field); \ + } else if (__comp > 0) { \ + __tmp = SPLAY_RIGHT((head)->sph_root, field); \ + if (__tmp == NULL) \ + break; \ + if (__comp > 0) { \ + SPLAY_ROTATE_LEFT(head, __tmp, field); \ + if (SPLAY_RIGHT((head)->sph_root, field) == NULL) \ + break; \ + } \ + SPLAY_LINKRIGHT(head, __left, field); \ + } \ + } \ + SPLAY_ASSEMBLE(head, &__node, __left, __right, field); \ + } + +#define SPLAY_NEGINF -1 +#define SPLAY_INF 1 + +#define SPLAY_INSERT(name, x, y) name##_SPLAY_INSERT(x, y) +#define SPLAY_REMOVE(name, x, y) name##_SPLAY_REMOVE(x, y) +#define SPLAY_FIND(name, x, y) name##_SPLAY_FIND(x, y) +#define SPLAY_NEXT(name, x, y) name##_SPLAY_NEXT(x, y) +#define SPLAY_MIN(name, x) (SPLAY_EMPTY(x) ? NULL : name##_SPLAY_MIN_MAX(x, SPLAY_NEGINF)) +#define SPLAY_MAX(name, x) (SPLAY_EMPTY(x) ? NULL : name##_SPLAY_MIN_MAX(x, SPLAY_INF)) + +#define SPLAY_FOREACH(x, name, head) \ + for ((x) = SPLAY_MIN(name, head); (x) != NULL; (x) = SPLAY_NEXT(name, head, x)) + +/* Macros that define a red-black tree */ +#define RB_HEAD(name, type) \ + struct name { \ + struct type* rbh_root; /* root of the tree */ \ + } + +#define RB_INITIALIZER(root) \ + { NULL } + +#define RB_INIT(root) \ + do { \ + (root)->rbh_root = NULL; \ + } while (/*CONSTCOND*/ 0) + +#define RB_BLACK 0 +#define RB_RED 1 +#define RB_ENTRY(type) \ + struct { \ + struct type* rbe_left; /* left element */ \ + struct type* rbe_right; /* right element */ \ + struct type* rbe_parent; /* parent element */ \ + int rbe_color; /* node color */ \ + } + +#define RB_LEFT(elm, field) (elm)->field.rbe_left +#define RB_RIGHT(elm, field) (elm)->field.rbe_right +#define RB_PARENT(elm, field) (elm)->field.rbe_parent +#define RB_COLOR(elm, field) (elm)->field.rbe_color +#define RB_ROOT(head) (head)->rbh_root +#define RB_EMPTY(head) (RB_ROOT(head) == NULL) + +#define RB_SET(elm, parent, field) \ + do { \ + RB_PARENT(elm, field) = parent; \ + RB_LEFT(elm, field) = RB_RIGHT(elm, field) = NULL; \ + RB_COLOR(elm, field) = RB_RED; \ + } while (/*CONSTCOND*/ 0) + +#define RB_SET_BLACKRED(black, red, field) \ + do { \ + RB_COLOR(black, field) = RB_BLACK; \ + RB_COLOR(red, field) = RB_RED; \ + } while (/*CONSTCOND*/ 0) + +#ifndef RB_AUGMENT +#define RB_AUGMENT(x) \ + do { \ + } while (0) +#endif + +#define RB_ROTATE_LEFT(head, elm, tmp, field) \ + do { \ + (tmp) = RB_RIGHT(elm, field); \ + if ((RB_RIGHT(elm, field) = RB_LEFT(tmp, field)) != NULL) { \ + RB_PARENT(RB_LEFT(tmp, field), field) = (elm); \ + } \ + RB_AUGMENT(elm); \ + if ((RB_PARENT(tmp, field) = RB_PARENT(elm, field)) != NULL) { \ + if ((elm) == RB_LEFT(RB_PARENT(elm, field), field)) \ + RB_LEFT(RB_PARENT(elm, field), field) = (tmp); \ + else \ + RB_RIGHT(RB_PARENT(elm, field), field) = (tmp); \ + } else \ + (head)->rbh_root = (tmp); \ + RB_LEFT(tmp, field) = (elm); \ + RB_PARENT(elm, field) = (tmp); \ + RB_AUGMENT(tmp); \ + if ((RB_PARENT(tmp, field))) \ + RB_AUGMENT(RB_PARENT(tmp, field)); \ + } while (/*CONSTCOND*/ 0) + +#define RB_ROTATE_RIGHT(head, elm, tmp, field) \ + do { \ + (tmp) = RB_LEFT(elm, field); \ + if ((RB_LEFT(elm, field) = RB_RIGHT(tmp, field)) != NULL) { \ + RB_PARENT(RB_RIGHT(tmp, field), field) = (elm); \ + } \ + RB_AUGMENT(elm); \ + if ((RB_PARENT(tmp, field) = RB_PARENT(elm, field)) != NULL) { \ + if ((elm) == RB_LEFT(RB_PARENT(elm, field), field)) \ + RB_LEFT(RB_PARENT(elm, field), field) = (tmp); \ + else \ + RB_RIGHT(RB_PARENT(elm, field), field) = (tmp); \ + } else \ + (head)->rbh_root = (tmp); \ + RB_RIGHT(tmp, field) = (elm); \ + RB_PARENT(elm, field) = (tmp); \ + RB_AUGMENT(tmp); \ + if ((RB_PARENT(tmp, field))) \ + RB_AUGMENT(RB_PARENT(tmp, field)); \ + } while (/*CONSTCOND*/ 0) + +/* Generates prototypes and inline functions */ +#define RB_PROTOTYPE(name, type, field, cmp) RB_PROTOTYPE_INTERNAL(name, type, field, cmp, ) +#define RB_PROTOTYPE_STATIC(name, type, field, cmp) \ + RB_PROTOTYPE_INTERNAL(name, type, field, cmp, static) +#define RB_PROTOTYPE_INTERNAL(name, type, field, cmp, attr) \ + RB_PROTOTYPE_INSERT_COLOR(name, type, attr); \ + RB_PROTOTYPE_REMOVE_COLOR(name, type, attr); \ + RB_PROTOTYPE_INSERT(name, type, attr); \ + RB_PROTOTYPE_REMOVE(name, type, attr); \ + RB_PROTOTYPE_FIND(name, type, attr); \ + RB_PROTOTYPE_NFIND(name, type, attr); \ + RB_PROTOTYPE_FIND_LIGHT(name, type, attr); \ + RB_PROTOTYPE_NFIND_LIGHT(name, type, attr); \ + RB_PROTOTYPE_NEXT(name, type, attr); \ + RB_PROTOTYPE_PREV(name, type, attr); \ + RB_PROTOTYPE_MINMAX(name, type, attr); +#define RB_PROTOTYPE_INSERT_COLOR(name, type, attr) \ + attr void name##_RB_INSERT_COLOR(struct name*, struct type*) +#define RB_PROTOTYPE_REMOVE_COLOR(name, type, attr) \ + attr void name##_RB_REMOVE_COLOR(struct name*, struct type*, struct type*) +#define RB_PROTOTYPE_REMOVE(name, type, attr) \ + attr struct type* name##_RB_REMOVE(struct name*, struct type*) +#define RB_PROTOTYPE_INSERT(name, type, attr) \ + attr struct type* name##_RB_INSERT(struct name*, struct type*) +#define RB_PROTOTYPE_FIND(name, type, attr) \ + attr struct type* name##_RB_FIND(struct name*, struct type*) +#define RB_PROTOTYPE_NFIND(name, type, attr) \ + attr struct type* name##_RB_NFIND(struct name*, struct type*) +#define RB_PROTOTYPE_FIND_LIGHT(name, type, attr) \ + attr struct type* name##_RB_FIND_LIGHT(struct name*, const void*) +#define RB_PROTOTYPE_NFIND_LIGHT(name, type, attr) \ + attr struct type* name##_RB_NFIND_LIGHT(struct name*, const void*) +#define RB_PROTOTYPE_NEXT(name, type, attr) attr struct type* name##_RB_NEXT(struct type*) +#define RB_PROTOTYPE_PREV(name, type, attr) attr struct type* name##_RB_PREV(struct type*) +#define RB_PROTOTYPE_MINMAX(name, type, attr) attr struct type* name##_RB_MINMAX(struct name*, int) + +/* Main rb operation. + * Moves node close to the key of elm to top + */ +#define RB_GENERATE_WITHOUT_COMPARE(name, type, field) \ + RB_GENERATE_WITHOUT_COMPARE_INTERNAL(name, type, field, ) +#define RB_GENERATE_WITHOUT_COMPARE_STATIC(name, type, field) \ + RB_GENERATE_WITHOUT_COMPARE_INTERNAL(name, type, field, static) +#define RB_GENERATE_WITHOUT_COMPARE_INTERNAL(name, type, field, attr) \ + RB_GENERATE_REMOVE_COLOR(name, type, field, attr) \ + RB_GENERATE_REMOVE(name, type, field, attr) \ + RB_GENERATE_NEXT(name, type, field, attr) \ + RB_GENERATE_PREV(name, type, field, attr) \ + RB_GENERATE_MINMAX(name, type, field, attr) + +#define RB_GENERATE_WITH_COMPARE(name, type, field, cmp, lcmp) \ + RB_GENERATE_WITH_COMPARE_INTERNAL(name, type, field, cmp, lcmp, ) +#define RB_GENERATE_WITH_COMPARE_STATIC(name, type, field, cmp, lcmp) \ + RB_GENERATE_WITH_COMPARE_INTERNAL(name, type, field, cmp, lcmp, static) +#define RB_GENERATE_WITH_COMPARE_INTERNAL(name, type, field, cmp, lcmp, attr) \ + RB_GENERATE_INSERT_COLOR(name, type, field, attr) \ + RB_GENERATE_INSERT(name, type, field, cmp, attr) \ + RB_GENERATE_FIND(name, type, field, cmp, attr) \ + RB_GENERATE_NFIND(name, type, field, cmp, attr) \ + RB_GENERATE_FIND_LIGHT(name, type, field, lcmp, attr) \ + RB_GENERATE_NFIND_LIGHT(name, type, field, lcmp, attr) + +#define RB_GENERATE_ALL(name, type, field, cmp) RB_GENERATE_ALL_INTERNAL(name, type, field, cmp, ) +#define RB_GENERATE_ALL_STATIC(name, type, field, cmp) \ + RB_GENERATE_ALL_INTERNAL(name, type, field, cmp, static) +#define RB_GENERATE_ALL_INTERNAL(name, type, field, cmp, attr) \ + RB_GENERATE_WITHOUT_COMPARE_INTERNAL(name, type, field, attr) \ + RB_GENERATE_WITH_COMPARE_INTERNAL(name, type, field, cmp, attr) + +#define RB_GENERATE_INSERT_COLOR(name, type, field, attr) \ + attr void name##_RB_INSERT_COLOR(struct name* head, struct type* elm) { \ + struct type *parent, *gparent, *tmp; \ + while ((parent = RB_PARENT(elm, field)) != NULL && RB_COLOR(parent, field) == RB_RED) { \ + gparent = RB_PARENT(parent, field); \ + if (parent == RB_LEFT(gparent, field)) { \ + tmp = RB_RIGHT(gparent, field); \ + if (tmp && RB_COLOR(tmp, field) == RB_RED) { \ + RB_COLOR(tmp, field) = RB_BLACK; \ + RB_SET_BLACKRED(parent, gparent, field); \ + elm = gparent; \ + continue; \ + } \ + if (RB_RIGHT(parent, field) == elm) { \ + RB_ROTATE_LEFT(head, parent, tmp, field); \ + tmp = parent; \ + parent = elm; \ + elm = tmp; \ + } \ + RB_SET_BLACKRED(parent, gparent, field); \ + RB_ROTATE_RIGHT(head, gparent, tmp, field); \ + } else { \ + tmp = RB_LEFT(gparent, field); \ + if (tmp && RB_COLOR(tmp, field) == RB_RED) { \ + RB_COLOR(tmp, field) = RB_BLACK; \ + RB_SET_BLACKRED(parent, gparent, field); \ + elm = gparent; \ + continue; \ + } \ + if (RB_LEFT(parent, field) == elm) { \ + RB_ROTATE_RIGHT(head, parent, tmp, field); \ + tmp = parent; \ + parent = elm; \ + elm = tmp; \ + } \ + RB_SET_BLACKRED(parent, gparent, field); \ + RB_ROTATE_LEFT(head, gparent, tmp, field); \ + } \ + } \ + RB_COLOR(head->rbh_root, field) = RB_BLACK; \ + } + +#define RB_GENERATE_REMOVE_COLOR(name, type, field, attr) \ + attr void name##_RB_REMOVE_COLOR(struct name* head, struct type* parent, struct type* elm) { \ + struct type* tmp; \ + while ((elm == NULL || RB_COLOR(elm, field) == RB_BLACK) && elm != RB_ROOT(head)) { \ + if (RB_LEFT(parent, field) == elm) { \ + tmp = RB_RIGHT(parent, field); \ + if (RB_COLOR(tmp, field) == RB_RED) { \ + RB_SET_BLACKRED(tmp, parent, field); \ + RB_ROTATE_LEFT(head, parent, tmp, field); \ + tmp = RB_RIGHT(parent, field); \ + } \ + if ((RB_LEFT(tmp, field) == NULL || \ + RB_COLOR(RB_LEFT(tmp, field), field) == RB_BLACK) && \ + (RB_RIGHT(tmp, field) == NULL || \ + RB_COLOR(RB_RIGHT(tmp, field), field) == RB_BLACK)) { \ + RB_COLOR(tmp, field) = RB_RED; \ + elm = parent; \ + parent = RB_PARENT(elm, field); \ + } else { \ + if (RB_RIGHT(tmp, field) == NULL || \ + RB_COLOR(RB_RIGHT(tmp, field), field) == RB_BLACK) { \ + struct type* oleft; \ + if ((oleft = RB_LEFT(tmp, field)) != NULL) \ + RB_COLOR(oleft, field) = RB_BLACK; \ + RB_COLOR(tmp, field) = RB_RED; \ + RB_ROTATE_RIGHT(head, tmp, oleft, field); \ + tmp = RB_RIGHT(parent, field); \ + } \ + RB_COLOR(tmp, field) = RB_COLOR(parent, field); \ + RB_COLOR(parent, field) = RB_BLACK; \ + if (RB_RIGHT(tmp, field)) \ + RB_COLOR(RB_RIGHT(tmp, field), field) = RB_BLACK; \ + RB_ROTATE_LEFT(head, parent, tmp, field); \ + elm = RB_ROOT(head); \ + break; \ + } \ + } else { \ + tmp = RB_LEFT(parent, field); \ + if (RB_COLOR(tmp, field) == RB_RED) { \ + RB_SET_BLACKRED(tmp, parent, field); \ + RB_ROTATE_RIGHT(head, parent, tmp, field); \ + tmp = RB_LEFT(parent, field); \ + } \ + if ((RB_LEFT(tmp, field) == NULL || \ + RB_COLOR(RB_LEFT(tmp, field), field) == RB_BLACK) && \ + (RB_RIGHT(tmp, field) == NULL || \ + RB_COLOR(RB_RIGHT(tmp, field), field) == RB_BLACK)) { \ + RB_COLOR(tmp, field) = RB_RED; \ + elm = parent; \ + parent = RB_PARENT(elm, field); \ + } else { \ + if (RB_LEFT(tmp, field) == NULL || \ + RB_COLOR(RB_LEFT(tmp, field), field) == RB_BLACK) { \ + struct type* oright; \ + if ((oright = RB_RIGHT(tmp, field)) != NULL) \ + RB_COLOR(oright, field) = RB_BLACK; \ + RB_COLOR(tmp, field) = RB_RED; \ + RB_ROTATE_LEFT(head, tmp, oright, field); \ + tmp = RB_LEFT(parent, field); \ + } \ + RB_COLOR(tmp, field) = RB_COLOR(parent, field); \ + RB_COLOR(parent, field) = RB_BLACK; \ + if (RB_LEFT(tmp, field)) \ + RB_COLOR(RB_LEFT(tmp, field), field) = RB_BLACK; \ + RB_ROTATE_RIGHT(head, parent, tmp, field); \ + elm = RB_ROOT(head); \ + break; \ + } \ + } \ + } \ + if (elm) \ + RB_COLOR(elm, field) = RB_BLACK; \ + } + +#define RB_GENERATE_REMOVE(name, type, field, attr) \ + attr struct type* name##_RB_REMOVE(struct name* head, struct type* elm) { \ + struct type *child, *parent, *old = elm; \ + int color; \ + if (RB_LEFT(elm, field) == NULL) \ + child = RB_RIGHT(elm, field); \ + else if (RB_RIGHT(elm, field) == NULL) \ + child = RB_LEFT(elm, field); \ + else { \ + struct type* left; \ + elm = RB_RIGHT(elm, field); \ + while ((left = RB_LEFT(elm, field)) != NULL) \ + elm = left; \ + child = RB_RIGHT(elm, field); \ + parent = RB_PARENT(elm, field); \ + color = RB_COLOR(elm, field); \ + if (child) \ + RB_PARENT(child, field) = parent; \ + if (parent) { \ + if (RB_LEFT(parent, field) == elm) \ + RB_LEFT(parent, field) = child; \ + else \ + RB_RIGHT(parent, field) = child; \ + RB_AUGMENT(parent); \ + } else \ + RB_ROOT(head) = child; \ + if (RB_PARENT(elm, field) == old) \ + parent = elm; \ + (elm)->field = (old)->field; \ + if (RB_PARENT(old, field)) { \ + if (RB_LEFT(RB_PARENT(old, field), field) == old) \ + RB_LEFT(RB_PARENT(old, field), field) = elm; \ + else \ + RB_RIGHT(RB_PARENT(old, field), field) = elm; \ + RB_AUGMENT(RB_PARENT(old, field)); \ + } else \ + RB_ROOT(head) = elm; \ + RB_PARENT(RB_LEFT(old, field), field) = elm; \ + if (RB_RIGHT(old, field)) \ + RB_PARENT(RB_RIGHT(old, field), field) = elm; \ + if (parent) { \ + left = parent; \ + do { \ + RB_AUGMENT(left); \ + } while ((left = RB_PARENT(left, field)) != NULL); \ + } \ + goto color; \ + } \ + parent = RB_PARENT(elm, field); \ + color = RB_COLOR(elm, field); \ + if (child) \ + RB_PARENT(child, field) = parent; \ + if (parent) { \ + if (RB_LEFT(parent, field) == elm) \ + RB_LEFT(parent, field) = child; \ + else \ + RB_RIGHT(parent, field) = child; \ + RB_AUGMENT(parent); \ + } else \ + RB_ROOT(head) = child; \ + color: \ + if (color == RB_BLACK) \ + name##_RB_REMOVE_COLOR(head, parent, child); \ + return (old); \ + } + +#define RB_GENERATE_INSERT(name, type, field, cmp, attr) \ + /* Inserts a node into the RB tree */ \ + attr struct type* name##_RB_INSERT(struct name* head, struct type* elm) { \ + struct type* tmp; \ + struct type* parent = NULL; \ + int comp = 0; \ + tmp = RB_ROOT(head); \ + while (tmp) { \ + parent = tmp; \ + comp = (cmp)(elm, parent); \ + if (comp < 0) \ + tmp = RB_LEFT(tmp, field); \ + else if (comp > 0) \ + tmp = RB_RIGHT(tmp, field); \ + else \ + return (tmp); \ + } \ + RB_SET(elm, parent, field); \ + if (parent != NULL) { \ + if (comp < 0) \ + RB_LEFT(parent, field) = elm; \ + else \ + RB_RIGHT(parent, field) = elm; \ + RB_AUGMENT(parent); \ + } else \ + RB_ROOT(head) = elm; \ + name##_RB_INSERT_COLOR(head, elm); \ + return (NULL); \ + } + +#define RB_GENERATE_FIND(name, type, field, cmp, attr) \ + /* Finds the node with the same key as elm */ \ + attr struct type* name##_RB_FIND(struct name* head, struct type* elm) { \ + struct type* tmp = RB_ROOT(head); \ + int comp; \ + while (tmp) { \ + comp = cmp(elm, tmp); \ + if (comp < 0) \ + tmp = RB_LEFT(tmp, field); \ + else if (comp > 0) \ + tmp = RB_RIGHT(tmp, field); \ + else \ + return (tmp); \ + } \ + return (NULL); \ + } + +#define RB_GENERATE_NFIND(name, type, field, cmp, attr) \ + /* Finds the first node greater than or equal to the search key */ \ + attr struct type* name##_RB_NFIND(struct name* head, struct type* elm) { \ + struct type* tmp = RB_ROOT(head); \ + struct type* res = NULL; \ + int comp; \ + while (tmp) { \ + comp = cmp(elm, tmp); \ + if (comp < 0) { \ + res = tmp; \ + tmp = RB_LEFT(tmp, field); \ + } else if (comp > 0) \ + tmp = RB_RIGHT(tmp, field); \ + else \ + return (tmp); \ + } \ + return (res); \ + } + +#define RB_GENERATE_FIND_LIGHT(name, type, field, lcmp, attr) \ + /* Finds the node with the same key as elm */ \ + attr struct type* name##_RB_FIND_LIGHT(struct name* head, const void* lelm) { \ + struct type* tmp = RB_ROOT(head); \ + int comp; \ + while (tmp) { \ + comp = lcmp(lelm, tmp); \ + if (comp < 0) \ + tmp = RB_LEFT(tmp, field); \ + else if (comp > 0) \ + tmp = RB_RIGHT(tmp, field); \ + else \ + return (tmp); \ + } \ + return (NULL); \ + } + +#define RB_GENERATE_NFIND_LIGHT(name, type, field, lcmp, attr) \ + /* Finds the first node greater than or equal to the search key */ \ + attr struct type* name##_RB_NFIND_LIGHT(struct name* head, const void* lelm) { \ + struct type* tmp = RB_ROOT(head); \ + struct type* res = NULL; \ + int comp; \ + while (tmp) { \ + comp = lcmp(lelm, tmp); \ + if (comp < 0) { \ + res = tmp; \ + tmp = RB_LEFT(tmp, field); \ + } else if (comp > 0) \ + tmp = RB_RIGHT(tmp, field); \ + else \ + return (tmp); \ + } \ + return (res); \ + } + +#define RB_GENERATE_NEXT(name, type, field, attr) \ + /* ARGSUSED */ \ + attr struct type* name##_RB_NEXT(struct type* elm) { \ + if (RB_RIGHT(elm, field)) { \ + elm = RB_RIGHT(elm, field); \ + while (RB_LEFT(elm, field)) \ + elm = RB_LEFT(elm, field); \ + } else { \ + if (RB_PARENT(elm, field) && (elm == RB_LEFT(RB_PARENT(elm, field), field))) \ + elm = RB_PARENT(elm, field); \ + else { \ + while (RB_PARENT(elm, field) && (elm == RB_RIGHT(RB_PARENT(elm, field), field))) \ + elm = RB_PARENT(elm, field); \ + elm = RB_PARENT(elm, field); \ + } \ + } \ + return (elm); \ + } + +#define RB_GENERATE_PREV(name, type, field, attr) \ + /* ARGSUSED */ \ + attr struct type* name##_RB_PREV(struct type* elm) { \ + if (RB_LEFT(elm, field)) { \ + elm = RB_LEFT(elm, field); \ + while (RB_RIGHT(elm, field)) \ + elm = RB_RIGHT(elm, field); \ + } else { \ + if (RB_PARENT(elm, field) && (elm == RB_RIGHT(RB_PARENT(elm, field), field))) \ + elm = RB_PARENT(elm, field); \ + else { \ + while (RB_PARENT(elm, field) && (elm == RB_LEFT(RB_PARENT(elm, field), field))) \ + elm = RB_PARENT(elm, field); \ + elm = RB_PARENT(elm, field); \ + } \ + } \ + return (elm); \ + } + +#define RB_GENERATE_MINMAX(name, type, field, attr) \ + attr struct type* name##_RB_MINMAX(struct name* head, int val) { \ + struct type* tmp = RB_ROOT(head); \ + struct type* parent = NULL; \ + while (tmp) { \ + parent = tmp; \ + if (val < 0) \ + tmp = RB_LEFT(tmp, field); \ + else \ + tmp = RB_RIGHT(tmp, field); \ + } \ + return (parent); \ + } + +#define RB_NEGINF -1 +#define RB_INF 1 + +#define RB_INSERT(name, x, y) name##_RB_INSERT(x, y) +#define RB_REMOVE(name, x, y) name##_RB_REMOVE(x, y) +#define RB_FIND(name, x, y) name##_RB_FIND(x, y) +#define RB_NFIND(name, x, y) name##_RB_NFIND(x, y) +#define RB_FIND_LIGHT(name, x, y) name##_RB_FIND_LIGHT(x, y) +#define RB_NFIND_LIGHT(name, x, y) name##_RB_NFIND_LIGHT(x, y) +#define RB_NEXT(name, x, y) name##_RB_NEXT(y) +#define RB_PREV(name, x, y) name##_RB_PREV(y) +#define RB_MIN(name, x) name##_RB_MINMAX(x, RB_NEGINF) +#define RB_MAX(name, x) name##_RB_MINMAX(x, RB_INF) + +#define RB_FOREACH(x, name, head) \ + for ((x) = RB_MIN(name, head); (x) != NULL; (x) = name##_RB_NEXT(x)) + +#define RB_FOREACH_FROM(x, name, y) \ + for ((x) = (y); ((x) != NULL) && ((y) = name##_RB_NEXT(x), (x) != NULL); (x) = (y)) + +#define RB_FOREACH_SAFE(x, name, head, y) \ + for ((x) = RB_MIN(name, head); ((x) != NULL) && ((y) = name##_RB_NEXT(x), (x) != NULL); \ + (x) = (y)) + +#define RB_FOREACH_REVERSE(x, name, head) \ + for ((x) = RB_MAX(name, head); (x) != NULL; (x) = name##_RB_PREV(x)) + +#define RB_FOREACH_REVERSE_FROM(x, name, y) \ + for ((x) = (y); ((x) != NULL) && ((y) = name##_RB_PREV(x), (x) != NULL); (x) = (y)) + +#define RB_FOREACH_REVERSE_SAFE(x, name, head, y) \ + for ((x) = RB_MAX(name, head); ((x) != NULL) && ((y) = name##_RB_PREV(x), (x) != NULL); \ + (x) = (y)) + +#endif /* _SYS_TREE_H_ */