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+/****************************************************************************
+**
+** Copyright (C) 2016 The Qt Company Ltd.
+** Contact: https://www.qt.io/licensing/
+**
+** This file is part of the QtGui module of the Qt Toolkit.
+**
+** $QT_BEGIN_LICENSE:LGPL$
+** Commercial License Usage
+** Licensees holding valid commercial Qt licenses may use this file in
+** accordance with the commercial license agreement provided with the
+** Software or, alternatively, in accordance with the terms contained in
+** a written agreement between you and The Qt Company. For licensing terms
+** and conditions see https://www.qt.io/terms-conditions. For further
+** information use the contact form at https://www.qt.io/contact-us.
+**
+** GNU Lesser General Public License Usage
+** Alternatively, this file may be used under the terms of the GNU Lesser
+** General Public License version 3 as published by the Free Software
+** Foundation and appearing in the file LICENSE.LGPL3 included in the
+** packaging of this file. Please review the following information to
+** ensure the GNU Lesser General Public License version 3 requirements
+** will be met: https://www.gnu.org/licenses/lgpl-3.0.html.
+**
+** GNU General Public License Usage
+** Alternatively, this file may be used under the terms of the GNU
+** General Public License version 2.0 or (at your option) the GNU General
+** Public license version 3 or any later version approved by the KDE Free
+** Qt Foundation. The licenses are as published by the Free Software
+** Foundation and appearing in the file LICENSE.GPL2 and LICENSE.GPL3
+** included in the packaging of this file. Please review the following
+** information to ensure the GNU General Public License requirements will
+** be met: https://www.gnu.org/licenses/gpl-2.0.html and
+** https://www.gnu.org/licenses/gpl-3.0.html.
+**
+** $QT_END_LICENSE$
+**
+****************************************************************************/
+
+#ifndef QRBTREE_P_H
+#define QRBTREE_P_H
+
+//
+// W A R N I N G
+// -------------
+//
+// This file is not part of the Qt API. It exists purely as an
+// implementation detail. This header file may change from version to
+// version without notice, or even be removed.
+//
+// We mean it.
+//
+
+#include <QtGui/private/qtguiglobal_p.h>
+
+QT_BEGIN_NAMESPACE
+
+template <class T>
+struct QRBTree
+{
+ struct Node
+ {
+ inline Node() : parent(0), left(0), right(0), red(true) { }
+ inline ~Node() {if (left) delete left; if (right) delete right;}
+ T data;
+ Node *parent;
+ Node *left;
+ Node *right;
+ bool red;
+ };
+
+ inline QRBTree() : root(0), freeList(0) { }
+ inline ~QRBTree();
+
+ inline void clear();
+
+ void attachBefore(Node *parent, Node *child);
+ void attachAfter(Node *parent, Node *child);
+
+ inline Node *front(Node *node) const;
+ inline Node *back(Node *node) const;
+ Node *next(Node *node) const;
+ Node *previous(Node *node) const;
+
+ inline void deleteNode(Node *&node);
+ inline Node *newNode();
+
+ // Return 1 if 'left' comes after 'right', 0 if equal, and -1 otherwise.
+ // 'left' and 'right' cannot be null.
+ int order(Node *left, Node *right);
+ inline bool validate() const;
+
+private:
+ void rotateLeft(Node *node);
+ void rotateRight(Node *node);
+ void update(Node *node);
+
+ inline void attachLeft(Node *parent, Node *child);
+ inline void attachRight(Node *parent, Node *child);
+
+ int blackDepth(Node *top) const;
+ bool checkRedBlackProperty(Node *top) const;
+
+ void swapNodes(Node *n1, Node *n2);
+ void detach(Node *node);
+
+ // 'node' must be black. rebalance will reduce the depth of black nodes by one in the sibling tree.
+ void rebalance(Node *node);
+
+public:
+ Node *root;
+private:
+ Node *freeList;
+};
+
+template <class T>
+inline QRBTree<T>::~QRBTree()
+{
+ clear();
+ while (freeList) {
+ // Avoid recursively calling the destructor, as this list may become large.
+ Node *next = freeList->right;
+ freeList->right = 0;
+ delete freeList;
+ freeList = next;
+ }
+}
+
+template <class T>
+inline void QRBTree<T>::clear()
+{
+ if (root)
+ delete root;
+ root = 0;
+}
+
+template <class T>
+void QRBTree<T>::rotateLeft(Node *node)
+{
+ // | | //
+ // N B //
+ // / \ / \ //
+ // A B ---> N D //
+ // / \ / \ //
+ // C D A C //
+
+ Node *&ref = (node->parent ? (node == node->parent->left ? node->parent->left : node->parent->right) : root);
+ ref = node->right;
+ node->right->parent = node->parent;
+
+ // : //
+ // N //
+ // / :| //
+ // A B //
+ // / \ //
+ // C D //
+
+ node->right = ref->left;
+ if (ref->left)
+ ref->left->parent = node;
+
+ // : | //
+ // N B //
+ // / \ : \ //
+ // A C D //
+
+ ref->left = node;
+ node->parent = ref;
+
+ // | //
+ // B //
+ // / \ //
+ // N D //
+ // / \ //
+ // A C //
+}
+
+template <class T>
+void QRBTree<T>::rotateRight(Node *node)
+{
+ // | | //
+ // N A //
+ // / \ / \ //
+ // A B ---> C N //
+ // / \ / \ //
+ // C D D B //
+
+ Node *&ref = (node->parent ? (node == node->parent->left ? node->parent->left : node->parent->right) : root);
+ ref = node->left;
+ node->left->parent = node->parent;
+
+ node->left = ref->right;
+ if (ref->right)
+ ref->right->parent = node;
+
+ ref->right = node;
+ node->parent = ref;
+}
+
+template <class T>
+void QRBTree<T>::update(Node *node) // call this after inserting a node
+{
+ for (;;) {
+ Node *parent = node->parent;
+
+ // if the node is the root, color it black
+ if (!parent) {
+ node->red = false;
+ return;
+ }
+
+ // if the parent is black, the node can be left red
+ if (!parent->red)
+ return;
+
+ // at this point, the parent is red and cannot be the root
+ Node *grandpa = parent->parent;
+ Q_ASSERT(grandpa);
+
+ Node *uncle = (parent == grandpa->left ? grandpa->right : grandpa->left);
+ if (uncle && uncle->red) {
+ // grandpa's black, parent and uncle are red.
+ // let parent and uncle be black, grandpa red and recursively update grandpa.
+ Q_ASSERT(!grandpa->red);
+ parent->red = false;
+ uncle->red = false;
+ grandpa->red = true;
+ node = grandpa;
+ continue;
+ }
+
+ // at this point, uncle is black
+ if (node == parent->right && parent == grandpa->left)
+ rotateLeft(node = parent);
+ else if (node == parent->left && parent == grandpa->right)
+ rotateRight(node = parent);
+ parent = node->parent;
+
+ if (parent == grandpa->left) {
+ rotateRight(grandpa);
+ parent->red = false;
+ grandpa->red = true;
+ } else {
+ rotateLeft(grandpa);
+ parent->red = false;
+ grandpa->red = true;
+ }
+ return;
+ }
+}
+
+template <class T>
+inline void QRBTree<T>::attachLeft(Node *parent, Node *child)
+{
+ Q_ASSERT(!parent->left);
+ parent->left = child;
+ child->parent = parent;
+ update(child);
+}
+
+template <class T>
+inline void QRBTree<T>::attachRight(Node *parent, Node *child)
+{
+ Q_ASSERT(!parent->right);
+ parent->right = child;
+ child->parent = parent;
+ update(child);
+}
+
+template <class T>
+void QRBTree<T>::attachBefore(Node *parent, Node *child)
+{
+ if (!root)
+ update(root = child);
+ else if (!parent)
+ attachRight(back(root), child);
+ else if (parent->left)
+ attachRight(back(parent->left), child);
+ else
+ attachLeft(parent, child);
+}
+
+template <class T>
+void QRBTree<T>::attachAfter(Node *parent, Node *child)
+{
+ if (!root)
+ update(root = child);
+ else if (!parent)
+ attachLeft(front(root), child);
+ else if (parent->right)
+ attachLeft(front(parent->right), child);
+ else
+ attachRight(parent, child);
+}
+
+template <class T>
+void QRBTree<T>::swapNodes(Node *n1, Node *n2)
+{
+ // Since iterators must not be invalidated, it is not sufficient to only swap the data.
+ if (n1->parent == n2) {
+ n1->parent = n2->parent;
+ n2->parent = n1;
+ } else if (n2->parent == n1) {
+ n2->parent = n1->parent;
+ n1->parent = n2;
+ } else {
+ qSwap(n1->parent, n2->parent);
+ }
+
+ qSwap(n1->left, n2->left);
+ qSwap(n1->right, n2->right);
+ qSwap(n1->red, n2->red);
+
+ if (n1->parent) {
+ if (n1->parent->left == n2)
+ n1->parent->left = n1;
+ else
+ n1->parent->right = n1;
+ } else {
+ root = n1;
+ }
+
+ if (n2->parent) {
+ if (n2->parent->left == n1)
+ n2->parent->left = n2;
+ else
+ n2->parent->right = n2;
+ } else {
+ root = n2;
+ }
+
+ if (n1->left)
+ n1->left->parent = n1;
+ if (n1->right)
+ n1->right->parent = n1;
+
+ if (n2->left)
+ n2->left->parent = n2;
+ if (n2->right)
+ n2->right->parent = n2;
+}
+
+template <class T>
+void QRBTree<T>::detach(Node *node) // call this before removing a node.
+{
+ if (node->right)
+ swapNodes(node, front(node->right));
+
+ Node *child = (node->left ? node->left : node->right);
+
+ if (!node->red) {
+ if (child && child->red)
+ child->red = false;
+ else
+ rebalance(node);
+ }
+
+ Node *&ref = (node->parent ? (node == node->parent->left ? node->parent->left : node->parent->right) : root);
+ ref = child;
+ if (child)
+ child->parent = node->parent;
+ node->left = node->right = node->parent = 0;
+}
+
+// 'node' must be black. rebalance will reduce the depth of black nodes by one in the sibling tree.
+template <class T>
+void QRBTree<T>::rebalance(Node *node)
+{
+ Q_ASSERT(!node->red);
+ for (;;) {
+ if (!node->parent)
+ return;
+
+ // at this point, node is not a parent, it is black, thus it must have a sibling.
+ Node *sibling = (node == node->parent->left ? node->parent->right : node->parent->left);
+ Q_ASSERT(sibling);
+
+ if (sibling->red) {
+ sibling->red = false;
+ node->parent->red = true;
+ if (node == node->parent->left)
+ rotateLeft(node->parent);
+ else
+ rotateRight(node->parent);
+ sibling = (node == node->parent->left ? node->parent->right : node->parent->left);
+ Q_ASSERT(sibling);
+ }
+
+ // at this point, the sibling is black.
+ Q_ASSERT(!sibling->red);
+
+ if ((!sibling->left || !sibling->left->red) && (!sibling->right || !sibling->right->red)) {
+ bool parentWasRed = node->parent->red;
+ sibling->red = true;
+ node->parent->red = false;
+ if (parentWasRed)
+ return;
+ node = node->parent;
+ continue;
+ }
+
+ // at this point, at least one of the sibling's children is red.
+
+ if (node == node->parent->left) {
+ if (!sibling->right || !sibling->right->red) {
+ Q_ASSERT(sibling->left);
+ sibling->red = true;
+ sibling->left->red = false;
+ rotateRight(sibling);
+
+ sibling = sibling->parent;
+ Q_ASSERT(sibling);
+ }
+ sibling->red = node->parent->red;
+ node->parent->red = false;
+
+ Q_ASSERT(sibling->right->red);
+ sibling->right->red = false;
+ rotateLeft(node->parent);
+ } else {
+ if (!sibling->left || !sibling->left->red) {
+ Q_ASSERT(sibling->right);
+ sibling->red = true;
+ sibling->right->red = false;
+ rotateLeft(sibling);
+
+ sibling = sibling->parent;
+ Q_ASSERT(sibling);
+ }
+ sibling->red = node->parent->red;
+ node->parent->red = false;
+
+ Q_ASSERT(sibling->left->red);
+ sibling->left->red = false;
+ rotateRight(node->parent);
+ }
+ return;
+ }
+}
+
+template <class T>
+inline typename QRBTree<T>::Node *QRBTree<T>::front(Node *node) const
+{
+ while (node->left)
+ node = node->left;
+ return node;
+}
+
+template <class T>
+inline typename QRBTree<T>::Node *QRBTree<T>::back(Node *node) const
+{
+ while (node->right)
+ node = node->right;
+ return node;
+}
+
+template <class T>
+typename QRBTree<T>::Node *QRBTree<T>::next(Node *node) const
+{
+ if (node->right)
+ return front(node->right);
+ while (node->parent && node == node->parent->right)
+ node = node->parent;
+ return node->parent;
+}
+
+template <class T>
+typename QRBTree<T>::Node *QRBTree<T>::previous(Node *node) const
+{
+ if (node->left)
+ return back(node->left);
+ while (node->parent && node == node->parent->left)
+ node = node->parent;
+ return node->parent;
+}
+
+template <class T>
+int QRBTree<T>::blackDepth(Node *top) const
+{
+ if (!top)
+ return 0;
+ int leftDepth = blackDepth(top->left);
+ int rightDepth = blackDepth(top->right);
+ if (leftDepth != rightDepth)
+ return -1;
+ if (!top->red)
+ ++leftDepth;
+ return leftDepth;
+}
+
+template <class T>
+bool QRBTree<T>::checkRedBlackProperty(Node *top) const
+{
+ if (!top)
+ return true;
+ if (top->left && !checkRedBlackProperty(top->left))
+ return false;
+ if (top->right && !checkRedBlackProperty(top->right))
+ return false;
+ return !(top->red && ((top->left && top->left->red) || (top->right && top->right->red)));
+}
+
+template <class T>
+inline bool QRBTree<T>::validate() const
+{
+ return checkRedBlackProperty(root) && blackDepth(root) != -1;
+}
+
+template <class T>
+inline void QRBTree<T>::deleteNode(Node *&node)
+{
+ Q_ASSERT(node);
+ detach(node);
+ node->right = freeList;
+ freeList = node;
+ node = 0;
+}
+
+template <class T>
+inline typename QRBTree<T>::Node *QRBTree<T>::newNode()
+{
+ if (freeList) {
+ Node *node = freeList;
+ freeList = freeList->right;
+ node->parent = node->left = node->right = 0;
+ node->red = true;
+ return node;
+ }
+ return new Node;
+}
+
+// Return 1 if 'left' comes after 'right', 0 if equal, and -1 otherwise.
+// 'left' and 'right' cannot be null.
+template <class T>
+int QRBTree<T>::order(Node *left, Node *right)
+{
+ Q_ASSERT(left && right);
+ if (left == right)
+ return 0;
+
+ QVector<Node *> leftAncestors;
+ QVector<Node *> rightAncestors;
+ while (left) {
+ leftAncestors.push_back(left);
+ left = left->parent;
+ }
+ while (right) {
+ rightAncestors.push_back(right);
+ right = right->parent;
+ }
+ Q_ASSERT(leftAncestors.back() == root && rightAncestors.back() == root);
+
+ while (!leftAncestors.empty() && !rightAncestors.empty() && leftAncestors.back() == rightAncestors.back()) {
+ leftAncestors.pop_back();
+ rightAncestors.pop_back();
+ }
+
+ if (!leftAncestors.empty())
+ return (leftAncestors.back() == leftAncestors.back()->parent->left ? -1 : 1);
+
+ if (!rightAncestors.empty())
+ return (rightAncestors.back() == rightAncestors.back()->parent->right ? -1 : 1);
+
+ // The code should never reach this point.
+ Q_ASSERT(!leftAncestors.empty() || !rightAncestors.empty());
+ return 0;
+}
+
+QT_END_NAMESPACE
+
+#endif