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Atmosphere/libraries/libvapours/include/vapours/freebsd/tree.hpp

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/* $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 <provos@citi.umich.edu>
* 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.
*/
#pragma once
#include <vapours/common.hpp>
#include <vapours/assert.hpp>
#pragma GCC push_options
#pragma GCC optimize ("-O3")
/*
* This file defines data structures for red-black trees.
*
* 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).
*/
namespace ams::freebsd {
enum class RBColor {
RB_BLACK = 0,
RB_RED = 1,
};
template<typename T>
class RBEntry {
private:
T *rbe_left = nullptr;
T *rbe_right = nullptr;
T *rbe_parent = nullptr;
RBColor rbe_color = RBColor::RB_BLACK;
public:
[[nodiscard]] constexpr ALWAYS_INLINE T *Left() { return this->rbe_left; }
[[nodiscard]] constexpr ALWAYS_INLINE const T *Left() const { return this->rbe_left; }
constexpr ALWAYS_INLINE void SetLeft(T *e) { this->rbe_left = e; }
[[nodiscard]] constexpr ALWAYS_INLINE T *Right() { return this->rbe_right; }
[[nodiscard]] constexpr ALWAYS_INLINE const T *Right() const { return this->rbe_right; }
constexpr ALWAYS_INLINE void SetRight(T *e) { this->rbe_right = e; }
[[nodiscard]] constexpr ALWAYS_INLINE T *Parent() { return this->rbe_parent; }
[[nodiscard]] constexpr ALWAYS_INLINE const T *Parent() const { return this->rbe_parent; }
constexpr ALWAYS_INLINE void SetParent(T *e) { this->rbe_parent = e; }
[[nodiscard]] constexpr ALWAYS_INLINE bool IsBlack() const { return this->rbe_color == RBColor::RB_BLACK; }
[[nodiscard]] constexpr ALWAYS_INLINE bool IsRed() const { return this->rbe_color == RBColor::RB_RED; }
[[nodiscard]] constexpr ALWAYS_INLINE RBColor Color() const { return this->rbe_color; }
constexpr ALWAYS_INLINE void SetColor(RBColor c) { this->rbe_color = c; }
};
template<typename T> struct CheckRBEntry { static constexpr bool value = false; };
template<typename T> struct CheckRBEntry<RBEntry<T>> { static constexpr bool value = true; };
template<typename T>
concept IsRBEntry = CheckRBEntry<T>::value;
template<typename T>
concept HasRBEntry = requires (T &t, const T &ct) {
{ t.GetRBEntry() } -> std::same_as< RBEntry<T> &>;
{ ct.GetRBEntry() } -> std::same_as<const RBEntry<T> &>;
};
template<typename T> requires HasRBEntry<T>
class RBHead {
private:
T *rbh_root = nullptr;
public:
[[nodiscard]] constexpr ALWAYS_INLINE T *Root() { return this->rbh_root; }
[[nodiscard]] constexpr ALWAYS_INLINE const T *Root() const { return this->rbh_root; }
constexpr ALWAYS_INLINE void SetRoot(T *root) { this->rbh_root = root; }
[[nodiscard]] constexpr ALWAYS_INLINE bool IsEmpty() const { return this->Root() == nullptr; }
};
template<typename T> requires HasRBEntry<T> [[nodiscard]] constexpr ALWAYS_INLINE RBEntry<T> &RB_ENTRY( T *t) { return t->GetRBEntry(); }
template<typename T> requires HasRBEntry<T> [[nodiscard]] constexpr ALWAYS_INLINE const RBEntry<T> &RB_ENTRY(const T *t) { return t->GetRBEntry(); }
template<typename T> requires HasRBEntry<T> [[nodiscard]] constexpr ALWAYS_INLINE T *RB_LEFT( T *t) { return RB_ENTRY(t).Left(); }
template<typename T> requires HasRBEntry<T> [[nodiscard]] constexpr ALWAYS_INLINE const T *RB_LEFT(const T *t) { return RB_ENTRY(t).Left(); }
template<typename T> requires HasRBEntry<T> [[nodiscard]] constexpr ALWAYS_INLINE T *RB_RIGHT( T *t) { return RB_ENTRY(t).Right(); }
template<typename T> requires HasRBEntry<T> [[nodiscard]] constexpr ALWAYS_INLINE const T *RB_RIGHT(const T *t) { return RB_ENTRY(t).Right(); }
template<typename T> requires HasRBEntry<T> [[nodiscard]] constexpr ALWAYS_INLINE T *RB_PARENT( T *t) { return RB_ENTRY(t).Parent(); }
template<typename T> requires HasRBEntry<T> [[nodiscard]] constexpr ALWAYS_INLINE const T *RB_PARENT(const T *t) { return RB_ENTRY(t).Parent(); }
template<typename T> requires HasRBEntry<T> constexpr ALWAYS_INLINE void RB_SET_LEFT(T *t, T *e) { RB_ENTRY(t).SetLeft(e); }
template<typename T> requires HasRBEntry<T> constexpr ALWAYS_INLINE void RB_SET_RIGHT(T *t, T *e) { RB_ENTRY(t).SetRight(e); }
template<typename T> requires HasRBEntry<T> constexpr ALWAYS_INLINE void RB_SET_PARENT(T *t, T *e) { RB_ENTRY(t).SetParent(e); }
template<typename T> requires HasRBEntry<T> [[nodiscard]] constexpr ALWAYS_INLINE bool RB_IS_BLACK(const T *t) { return RB_ENTRY(t).IsBlack(); }
template<typename T> requires HasRBEntry<T> [[nodiscard]] constexpr ALWAYS_INLINE bool RB_IS_RED(const T *t) { return RB_ENTRY(t).IsRed(); }
template<typename T> requires HasRBEntry<T> [[nodiscard]] constexpr ALWAYS_INLINE RBColor RB_COLOR(const T *t) { return RB_ENTRY(t).Color(); }
template<typename T> requires HasRBEntry<T> constexpr ALWAYS_INLINE void RB_SET_COLOR(T *t, RBColor c) { RB_ENTRY(t).SetColor(c); }
template<typename T> requires HasRBEntry<T>
constexpr ALWAYS_INLINE void RB_SET(T *elm, T *parent) {
auto &rb_entry = RB_ENTRY(elm);
rb_entry.SetParent(parent);
rb_entry.SetLeft(nullptr);
rb_entry.SetRight(nullptr);
rb_entry.SetColor(RBColor::RB_RED);
}
template<typename T> requires HasRBEntry<T>
constexpr ALWAYS_INLINE void RB_SET_BLACKRED(T *black, T *red) {
RB_SET_COLOR(black, RBColor::RB_BLACK);
RB_SET_COLOR(red, RBColor::RB_RED);
}
template<typename T> requires HasRBEntry<T>
constexpr ALWAYS_INLINE void RB_ROTATE_LEFT(RBHead<T> &head, T *elm, T *&tmp) {
tmp = RB_RIGHT(elm);
if (RB_SET_RIGHT(elm, RB_LEFT(tmp)); RB_RIGHT(elm) != nullptr) {
RB_SET_PARENT(RB_LEFT(tmp), elm);
}
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);
}
RB_SET_LEFT(tmp, elm);
RB_SET_PARENT(elm, tmp);
}
template<typename T> requires HasRBEntry<T>
constexpr ALWAYS_INLINE void RB_ROTATE_RIGHT(RBHead<T> &head, T *elm, T *&tmp) {
tmp = RB_LEFT(elm);
if (RB_SET_LEFT(elm, RB_RIGHT(tmp)); RB_LEFT(elm) != nullptr) {
RB_SET_PARENT(RB_RIGHT(tmp), elm);
}
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);
}
RB_SET_RIGHT(tmp, elm);
RB_SET_PARENT(elm, tmp);
}
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)) {
T *gparent = RB_PARENT(parent);
if (parent == RB_LEFT(gparent)) {
tmp = RB_RIGHT(gparent);
if (tmp && RB_IS_RED(tmp)) {
RB_SET_COLOR(tmp, RBColor::RB_BLACK);
RB_SET_BLACKRED(parent, gparent);
elm = gparent;
continue;
}
if (RB_RIGHT(parent) == elm) {
RB_ROTATE_LEFT(head, parent, tmp);
tmp = parent;
parent = elm;
elm = tmp;
}
RB_SET_BLACKRED(parent, gparent);
RB_ROTATE_RIGHT(head, gparent, tmp);
} else {
tmp = RB_LEFT(gparent);
if (tmp && RB_IS_RED(tmp)) {
RB_SET_COLOR(tmp, RBColor::RB_BLACK);
RB_SET_BLACKRED(parent, gparent);
elm = gparent;
continue;
}
if (RB_LEFT(parent) == elm) {
RB_ROTATE_RIGHT(head, parent, tmp);
tmp = parent;
parent = elm;
elm = tmp;
}
RB_SET_BLACKRED(parent, gparent);
RB_ROTATE_LEFT(head, gparent, tmp);
}
}
RB_SET_COLOR(head.Root(), RBColor::RB_BLACK);
}
template <typename T, typename Compare> requires HasRBEntry<T>
constexpr ALWAYS_INLINE T *RB_INSERT(RBHead<T> &head, T *elm, Compare cmp) {
T *parent = nullptr;
T *tmp = head.Root();
int comp = 0;
while (tmp) {
parent = tmp;
comp = cmp(elm, parent);
if (comp < 0) {
tmp = RB_LEFT(tmp);
} else if (comp > 0) {
tmp = RB_RIGHT(tmp);
} else {
return tmp;
}
}
RB_SET(elm, parent);
if (parent != nullptr) {
if (comp < 0) {
RB_SET_LEFT(parent, elm);
} else {
RB_SET_RIGHT(parent, elm);
}
} else {
head.SetRoot(elm);
}
RB_INSERT_COLOR(head, elm);
return nullptr;
}
template<typename T, typename Compare> requires HasRBEntry<T>
constexpr ALWAYS_INLINE T *RB_FIND(RBHead<T> &head, T *elm, Compare cmp) {
T *tmp = head.Root();
while (tmp) {
const int comp = cmp(elm, tmp);
if (comp < 0) {
tmp = RB_LEFT(tmp);
} else if (comp > 0) {
tmp = RB_RIGHT(tmp);
} else {
return tmp;
}
}
return nullptr;
}
template<typename T, typename Compare> requires HasRBEntry<T>
constexpr ALWAYS_INLINE 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);
if (comp < 0) {
res = tmp;
tmp = RB_LEFT(tmp);
} else if (comp > 0) {
tmp = RB_RIGHT(tmp);
} else {
return tmp;
}
}
return res;
}
template<typename T, typename U, typename Compare> requires HasRBEntry<T>
constexpr ALWAYS_INLINE T *RB_FIND_KEY(RBHead<T> &head, const U &key, Compare cmp) {
T *tmp = head.Root();
while (tmp) {
const int comp = cmp(key, tmp);
if (comp < 0) {
tmp = RB_LEFT(tmp);
} else if (comp > 0) {
tmp = RB_RIGHT(tmp);
} else {
return tmp;
}
}
return nullptr;
}
template<typename T, typename U, typename Compare> requires HasRBEntry<T>
constexpr ALWAYS_INLINE T *RB_NFIND_KEY(RBHead<T> &head, const U &key, Compare cmp) {
T *tmp = head.Root();
T* res = nullptr;
while (tmp) {
const int comp = cmp(key, tmp);
if (comp < 0) {
res = tmp;
tmp = RB_LEFT(tmp);
} else if (comp > 0) {
tmp = RB_RIGHT(tmp);
} else {
return tmp;
}
}
return res;
}
template<typename T, typename Compare> requires HasRBEntry<T>
constexpr ALWAYS_INLINE 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 ALWAYS_INLINE 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 ALWAYS_INLINE T *RB_NEXT(T *elm) {
if (RB_RIGHT(elm)) {
elm = RB_RIGHT(elm);
while (RB_LEFT(elm)) {
elm = RB_LEFT(elm);
}
} else {
if (RB_PARENT(elm) && (elm == RB_LEFT(RB_PARENT(elm)))) {
elm = RB_PARENT(elm);
} else {
while (RB_PARENT(elm) && (elm == RB_RIGHT(RB_PARENT(elm)))) {
elm = RB_PARENT(elm);
}
elm = RB_PARENT(elm);
}
}
return elm;
}
template<typename T> requires HasRBEntry<T>
constexpr ALWAYS_INLINE T *RB_PREV(T *elm) {
if (RB_LEFT(elm)) {
elm = RB_LEFT(elm);
while (RB_RIGHT(elm)) {
elm = RB_RIGHT(elm);
}
} else {
if (RB_PARENT(elm) && (elm == RB_RIGHT(RB_PARENT(elm)))) {
elm = RB_PARENT(elm);
} else {
while (RB_PARENT(elm) && (elm == RB_LEFT(RB_PARENT(elm)))) {
elm = RB_PARENT(elm);
}
elm = RB_PARENT(elm);
}
}
return elm;
}
template<typename T> requires HasRBEntry<T>
constexpr ALWAYS_INLINE T *RB_MIN(RBHead<T> &head) {
T *tmp = head.Root();
T *parent = nullptr;
while (tmp) {
parent = tmp;
tmp = RB_LEFT(tmp);
}
return parent;
}
template<typename T> requires HasRBEntry<T>
constexpr ALWAYS_INLINE T *RB_MAX(RBHead<T> &head) {
T *tmp = head.Root();
T *parent = nullptr;
while (tmp) {
parent = tmp;
tmp = RB_RIGHT(tmp);
}
return parent;
}
}
#pragma GCC pop_options
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