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<?php
/**
 * Tree behavior class.
 *
 * Enables a model object to act as a node-based tree.
 *
 * CakePHP :  Rapid Development Framework (http://cakephp.org)
 * Copyright (c) Cake Software Foundation, Inc. (http://cakefoundation.org)
 *
 * Licensed under The MIT License
 * For full copyright and license information, please see the LICENSE.txt
 * Redistributions of files must retain the above copyright notice.
 *
 * @copyright     Copyright (c) Cake Software Foundation, Inc. (http://cakefoundation.org)
 * @link          http://cakephp.org CakePHP Project
 * @package       Cake.Model.Behavior
 * @since         CakePHP v 1.2.0.4487
 * @license       http://www.opensource.org/licenses/mit-license.php MIT License
 */

App::uses('ModelBehavior', 'Model');

/**
 * Tree Behavior.
 *
 * Enables a model object to act as a node-based tree. Using Modified Preorder Tree Traversal
 *
 * @see http://en.wikipedia.org/wiki/Tree_traversal
 * @package       Cake.Model.Behavior
 * @link http://book.cakephp.org/2.0/en/core-libraries/behaviors/tree.html
 */
class TreeBehavior extends ModelBehavior {

/**
 * Errors
 *
 * @var array
 */
        public $errors = array();

/**
 * Defaults
 *
 * @var array
 */
        protected $_defaults = array(
                'parent' => 'parent_id', 'left' => 'lft', 'right' => 'rght',
                'scope' => '1 = 1', 'type' => 'nested', '__parentChange' => false, 'recursive' => -1
        );

/**
 * Used to preserve state between delete callbacks.
 *
 * @var array
 */
        protected $_deletedRow = array();

/**
 * Initiate Tree behavior
 *
 * @param Model $Model using this behavior of model
 * @param array $config array of configuration settings.
 * @return void
 */
        public function setup(Model $Model, $config = array()) {
                if (isset($config[0])) {
                        $config['type'] = $config[0];
                        unset($config[0]);
                }
                $settings = $config + $this->_defaults;

                if (in_array($settings['scope'], $Model->getAssociated('belongsTo'))) {
                        $data = $Model->getAssociated($settings['scope']);
                        $Parent = $Model->{$settings['scope']};
                        $settings['scope'] = $Model->escapeField($data['foreignKey']) . ' = ' . $Parent->escapeField();
                        $settings['recursive'] = 0;
                }
                $this->settings[$Model->alias] = $settings;
        }

/**
 * After save method. Called after all saves
 *
 * Overridden to transparently manage setting the lft and rght fields if and only if the parent field is included in the
 * parameters to be saved.
 *
 * @param Model $Model Model using this behavior.
 * @param bool $created indicates whether the node just saved was created or updated
 * @param array $options Options passed from Model::save().
 * @return bool true on success, false on failure
 */
        public function afterSave(Model $Model, $created, $options = array()) {
                extract($this->settings[$Model->alias]);
                if ($created) {
                        if ((isset($Model->data[$Model->alias][$parent])) && $Model->data[$Model->alias][$parent]) {
                                return $this->_setParent($Model, $Model->data[$Model->alias][$parent], $created);
                        }
                } elseif ($this->settings[$Model->alias]['__parentChange']) {
                        $this->settings[$Model->alias]['__parentChange'] = false;
                        return $this->_setParent($Model, $Model->data[$Model->alias][$parent]);
                }
        }

/**
 * Runs before a find() operation
 *
 * @param Model $Model Model using the behavior
 * @param array $query Query parameters as set by cake
 * @return array
 */
        public function beforeFind(Model $Model, $query) {
                if ($Model->findQueryType === 'threaded' && !isset($query['parent'])) {
                        $query['parent'] = $this->settings[$Model->alias]['parent'];
                }
                return $query;
        }

/**
 * Stores the record about to be deleted.
 *
 * This is used to delete child nodes in the afterDelete.
 *
 * @param Model $Model Model using this behavior.
 * @param bool $cascade If true records that depend on this record will also be deleted
 * @return bool
 */
        public function beforeDelete(Model $Model, $cascade = true) {
                extract($this->settings[$Model->alias]);
                $data = $Model->find('first', array(
                        'conditions' => array($Model->escapeField($Model->primaryKey) => $Model->id),
                        'fields' => array($Model->escapeField($left), $Model->escapeField($right)),
                        'recursive' => -1));
                if ($data) {
                        $this->_deletedRow[$Model->alias] = current($data);
                }
                return true;
        }

/**
 * After delete method.
 *
 * Will delete the current node and all children using the deleteAll method and sync the table
 *
 * @param Model $Model Model using this behavior
 * @return bool true to continue, false to abort the delete
 */
        public function afterDelete(Model $Model) {
                extract($this->settings[$Model->alias]);
                $data = $this->_deletedRow[$Model->alias];
                $this->_deletedRow[$Model->alias] = null;

                if (!$data[$right] || !$data[$left]) {
                        return true;
                }
                $diff = $data[$right] - $data[$left] + 1;

                if ($diff > 2) {
                        if (is_string($scope)) {
                                $scope = array($scope);
                        }
                        $scope[][$Model->escapeField($left) . " BETWEEN ? AND ?"] = array($data[$left] + 1, $data[$right] - 1);
                        $Model->deleteAll($scope);
                }
                $this->_sync($Model, $diff, '-', '> ' . $data[$right]);
                return true;
        }

/**
 * Before save method. Called before all saves
 *
 * Overridden to transparently manage setting the lft and rght fields if and only if the parent field is included in the
 * parameters to be saved. For newly created nodes with NO parent the left and right field values are set directly by
 * this method bypassing the setParent logic.
 *
 * @param Model $Model Model using this behavior
 * @param array $options Options passed from Model::save().
 * @return bool true to continue, false to abort the save
 * @see Model::save()
 */
        public function beforeSave(Model $Model, $options = array()) {
                extract($this->settings[$Model->alias]);

                $this->_addToWhitelist($Model, array($left, $right));
                if (!$Model->id || !$Model->exists()) {
                        if (array_key_exists($parent, $Model->data[$Model->alias]) && $Model->data[$Model->alias][$parent]) {
                                $parentNode = $Model->find('first', array(
                                        'conditions' => array($scope, $Model->escapeField() => $Model->data[$Model->alias][$parent]),
                                        'fields' => array($Model->primaryKey, $right), 'recursive' => $recursive
                                ));
                                if (!$parentNode) {
                                        return false;
                                }
                                list($parentNode) = array_values($parentNode);
                                $Model->data[$Model->alias][$left] = 0;
                                $Model->data[$Model->alias][$right] = 0;
                        } else {
                                $edge = $this->_getMax($Model, $scope, $right, $recursive);
                                $Model->data[$Model->alias][$left] = $edge + 1;
                                $Model->data[$Model->alias][$right] = $edge + 2;
                        }
                } elseif (array_key_exists($parent, $Model->data[$Model->alias])) {
                        if ($Model->data[$Model->alias][$parent] != $Model->field($parent)) {
                                $this->settings[$Model->alias]['__parentChange'] = true;
                        }
                        if (!$Model->data[$Model->alias][$parent]) {
                                $Model->data[$Model->alias][$parent] = null;
                                $this->_addToWhitelist($Model, $parent);
                        } else {
                                $values = $Model->find('first', array(
                                        'conditions' => array($scope, $Model->escapeField() => $Model->id),
                                        'fields' => array($Model->primaryKey, $parent, $left, $right), 'recursive' => $recursive)
                                );

                                if (empty($values)) {
                                        return false;
                                }
                                list($node) = array_values($values);

                                $parentNode = $Model->find('first', array(
                                        'conditions' => array($scope, $Model->escapeField() => $Model->data[$Model->alias][$parent]),
                                        'fields' => array($Model->primaryKey, $left, $right), 'recursive' => $recursive
                                ));
                                if (!$parentNode) {
                                        return false;
                                }
                                list($parentNode) = array_values($parentNode);

                                if (($node[$left] < $parentNode[$left]) && ($parentNode[$right] < $node[$right])) {
                                        return false;
                                }
                                if ($node[$Model->primaryKey] === $parentNode[$Model->primaryKey]) {
                                        return false;
                                }
                        }
                }
                return true;
        }

/**
 * Get the number of child nodes
 *
 * If the direct parameter is set to true, only the direct children are counted (based upon the parent_id field)
 * If false is passed for the id parameter, all top level nodes are counted, or all nodes are counted.
 *
 * @param Model $Model Model using this behavior
 * @param int|string|bool $id The ID of the record to read or false to read all top level nodes
 * @param bool $direct whether to count direct, or all, children
 * @return int number of child nodes
 * @link http://book.cakephp.org/2.0/en/core-libraries/behaviors/tree.html#TreeBehavior::childCount
 */
        public function childCount(Model $Model, $id = null, $direct = false) {
                if (is_array($id)) {
                        extract(array_merge(array('id' => null), $id));
                }
                if ($id === null && $Model->id) {
                        $id = $Model->id;
                } elseif (!$id) {
                        $id = null;
                }
                extract($this->settings[$Model->alias]);

                if ($direct) {
                        return $Model->find('count', array('conditions' => array($scope, $Model->escapeField($parent) => $id)));
                }

                if ($id === null) {
                        return $Model->find('count', array('conditions' => $scope));
                } elseif ($Model->id === $id && isset($Model->data[$Model->alias][$left]) && isset($Model->data[$Model->alias][$right])) {
                        $data = $Model->data[$Model->alias];
                } else {
                        $data = $Model->find('first', array('conditions' => array($scope, $Model->escapeField() => $id), 'recursive' => $recursive));
                        if (!$data) {
                                return 0;
                        }
                        $data = $data[$Model->alias];
                }
                return ($data[$right] - $data[$left] - 1) / 2;
        }

/**
 * Get the child nodes of the current model
 *
 * If the direct parameter is set to true, only the direct children are returned (based upon the parent_id field)
 * If false is passed for the id parameter, top level, or all (depending on direct parameter appropriate) are counted.
 *
 * @param Model $Model Model using this behavior
 * @param int|string $id The ID of the record to read
 * @param bool $direct whether to return only the direct, or all, children
 * @param string|array $fields Either a single string of a field name, or an array of field names
 * @param string $order SQL ORDER BY conditions (e.g. "price DESC" or "name ASC") defaults to the tree order
 * @param int $limit SQL LIMIT clause, for calculating items per page.
 * @param int $page Page number, for accessing paged data
 * @param int $recursive The number of levels deep to fetch associated records
 * @return array Array of child nodes
 * @link http://book.cakephp.org/2.0/en/core-libraries/behaviors/tree.html#TreeBehavior::children
 */
        public function children(Model $Model, $id = null, $direct = false, $fields = null, $order = null, $limit = null, $page = 1, $recursive = null) {
                if (is_array($id)) {
                        extract(array_merge(array('id' => null), $id));
                }
                $overrideRecursive = $recursive;

                if ($id === null && $Model->id) {
                        $id = $Model->id;
                } elseif (!$id) {
                        $id = null;
                }

                extract($this->settings[$Model->alias]);

                if ($overrideRecursive !== null) {
                        $recursive = $overrideRecursive;
                }
                if (!$order) {
                        $order = $Model->escapeField($left) . " asc";
                }
                if ($direct) {
                        $conditions = array($scope, $Model->escapeField($parent) => $id);
                        return $Model->find('all', compact('conditions', 'fields', 'order', 'limit', 'page', 'recursive'));
                }

                if (!$id) {
                        $conditions = $scope;
                } else {
                        $result = array_values((array)$Model->find('first', array(
                                'conditions' => array($scope, $Model->escapeField() => $id),
                                'fields' => array($left, $right),
                                'recursive' => $recursive
                        )));

                        if (empty($result) || !isset($result[0])) {
                                return array();
                        }
                        $conditions = array($scope,
                                $Model->escapeField($right) . ' <' => $result[0][$right],
                                $Model->escapeField($left) . ' >' => $result[0][$left]
                        );
                }
                return $Model->find('all', compact('conditions', 'fields', 'order', 'limit', 'page', 'recursive'));
        }

/**
 * A convenience method for returning a hierarchical array used for HTML select boxes
 *
 * @param Model $Model Model using this behavior
 * @param string|array $conditions SQL conditions as a string or as an array('field' =>'value',...)
 * @param string $keyPath A string path to the key, i.e. "{n}.Post.id"
 * @param string $valuePath A string path to the value, i.e. "{n}.Post.title"
 * @param string $spacer The character or characters which will be repeated
 * @param int $recursive The number of levels deep to fetch associated records
 * @return array An associative array of records, where the id is the key, and the display field is the value
 * @link http://book.cakephp.org/2.0/en/core-libraries/behaviors/tree.html#TreeBehavior::generateTreeList
 */
        public function generateTreeList(Model $Model, $conditions = null, $keyPath = null, $valuePath = null, $spacer = '_', $recursive = null) {
                $overrideRecursive = $recursive;
                extract($this->settings[$Model->alias]);
                if ($overrideRecursive !== null) {
                        $recursive = $overrideRecursive;
                }

                $fields = null;
                if (!$keyPath && !$valuePath && $Model->hasField($Model->displayField)) {
                        $fields = array($Model->primaryKey, $Model->displayField, $left, $right);
                }

                if (!$keyPath) {
                        $keyPath = '{n}.' . $Model->alias . '.' . $Model->primaryKey;
                }

                if (!$valuePath) {
                        $valuePath = array('%s%s', '{n}.tree_prefix', '{n}.' . $Model->alias . '.' . $Model->displayField);

                } elseif (is_string($valuePath)) {
                        $valuePath = array('%s%s', '{n}.tree_prefix', $valuePath);

                } else {
                        array_unshift($valuePath, '%s' . $valuePath[0], '{n}.tree_prefix');
                }

                $conditions = (array)$conditions;
                if ($scope) {
                        $conditions[] = $scope;
                }

                $order = $Model->escapeField($left) . " asc";
                $results = $Model->find('all', compact('conditions', 'fields', 'order', 'recursive'));
                $stack = array();

                foreach ($results as $i => $result) {
                        $count = count($stack);
                        while ($stack && ($stack[$count - 1] < $result[$Model->alias][$right])) {
                                array_pop($stack);
                                $count--;
                        }
                        $results[$i]['tree_prefix'] = str_repeat($spacer, $count);
                        $stack[] = $result[$Model->alias][$right];
                }
                if (empty($results)) {
                        return array();
                }
                return Hash::combine($results, $keyPath, $valuePath);
        }

/**
 * Get the parent node
 *
 * reads the parent id and returns this node
 *
 * @param Model $Model Model using this behavior
 * @param int|string $id The ID of the record to read
 * @param string|array $fields Fields to get
 * @param int $recursive The number of levels deep to fetch associated records
 * @return array|bool Array of data for the parent node
 * @link http://book.cakephp.org/2.0/en/core-libraries/behaviors/tree.html#TreeBehavior::getParentNode
 */
        public function getParentNode(Model $Model, $id = null, $fields = null, $recursive = null) {
                if (is_array($id)) {
                        extract(array_merge(array('id' => null), $id));
                }
                $overrideRecursive = $recursive;
                if (empty($id)) {
                        $id = $Model->id;
                }
                extract($this->settings[$Model->alias]);
                if ($overrideRecursive !== null) {
                        $recursive = $overrideRecursive;
                }
                $parentId = $Model->find('first', array('conditions' => array($Model->primaryKey => $id), 'fields' => array($parent), 'recursive' => -1));

                if ($parentId) {
                        $parentId = $parentId[$Model->alias][$parent];
                        $parent = $Model->find('first', array('conditions' => array($Model->escapeField() => $parentId), 'fields' => $fields, 'recursive' => $recursive));

                        return $parent;
                }
                return false;
        }

/**
 * Get the path to the given node
 *
 * @param Model $Model Model using this behavior
 * @param int|string $id The ID of the record to read
 * @param string|array $fields Either a single string of a field name, or an array of field names
 * @param int $recursive The number of levels deep to fetch associated records
 * @return array Array of nodes from top most parent to current node
 * @link http://book.cakephp.org/2.0/en/core-libraries/behaviors/tree.html#TreeBehavior::getPath
 */
        public function getPath(Model $Model, $id = null, $fields = null, $recursive = null) {
                if (is_array($id)) {
                        extract(array_merge(array('id' => null), $id));
                }
                $overrideRecursive = $recursive;
                if (empty($id)) {
                        $id = $Model->id;
                }
                extract($this->settings[$Model->alias]);
                if ($overrideRecursive !== null) {
                        $recursive = $overrideRecursive;
                }
                $result = $Model->find('first', array('conditions' => array($Model->escapeField() => $id), 'fields' => array($left, $right), 'recursive' => $recursive));
                if ($result) {
                        $result = array_values($result);
                } else {
                        return null;
                }
                $item = $result[0];
                $results = $Model->find('all', array(
                        'conditions' => array($scope, $Model->escapeField($left) . ' <=' => $item[$left], $Model->escapeField($right) . ' >=' => $item[$right]),
                        'fields' => $fields, 'order' => array($Model->escapeField($left) => 'asc'), 'recursive' => $recursive
                ));
                return $results;
        }

/**
 * Reorder the node without changing the parent.
 *
 * If the node is the last child, or is a top level node with no subsequent node this method will return false
 *
 * @param Model $Model Model using this behavior
 * @param int|string $id The ID of the record to move
 * @param int|bool $number how many places to move the node or true to move to last position
 * @return bool true on success, false on failure
 * @link http://book.cakephp.org/2.0/en/core-libraries/behaviors/tree.html#TreeBehavior::moveDown
 */
        public function moveDown(Model $Model, $id = null, $number = 1) {
                if (is_array($id)) {
                        extract(array_merge(array('id' => null), $id));
                }
                if (!$number) {
                        return false;
                }
                if (empty($id)) {
                        $id = $Model->id;
                }
                extract($this->settings[$Model->alias]);
                list($node) = array_values($Model->find('first', array(
                        'conditions' => array($scope, $Model->escapeField() => $id),
                        'fields' => array($Model->primaryKey, $left, $right, $parent), 'recursive' => $recursive
                )));
                if ($node[$parent]) {
                        list($parentNode) = array_values($Model->find('first', array(
                                'conditions' => array($scope, $Model->escapeField() => $node[$parent]),
                                'fields' => array($Model->primaryKey, $left, $right), 'recursive' => $recursive
                        )));
                        if (($node[$right] + 1) == $parentNode[$right]) {
                                return false;
                        }
                }
                $nextNode = $Model->find('first', array(
                        'conditions' => array($scope, $Model->escapeField($left) => ($node[$right] + 1)),
                        'fields' => array($Model->primaryKey, $left, $right), 'recursive' => $recursive)
                );
                if ($nextNode) {
                        list($nextNode) = array_values($nextNode);
                } else {
                        return false;
                }
                $edge = $this->_getMax($Model, $scope, $right, $recursive);
                $this->_sync($Model, $edge - $node[$left] + 1, '+', 'BETWEEN ' . $node[$left] . ' AND ' . $node[$right]);
                $this->_sync($Model, $nextNode[$left] - $node[$left], '-', 'BETWEEN ' . $nextNode[$left] . ' AND ' . $nextNode[$right]);
                $this->_sync($Model, $edge - $node[$left] - ($nextNode[$right] - $nextNode[$left]), '-', '> ' . $edge);

                if (is_int($number)) {
                        $number--;
                }
                if ($number) {
                        $this->moveDown($Model, $id, $number);
                }
                return true;
        }

/**
 * Reorder the node without changing the parent.
 *
 * If the node is the first child, or is a top level node with no previous node this method will return false
 *
 * @param Model $Model Model using this behavior
 * @param int|string $id The ID of the record to move
 * @param int|bool $number how many places to move the node, or true to move to first position
 * @return bool true on success, false on failure
 * @link http://book.cakephp.org/2.0/en/core-libraries/behaviors/tree.html#TreeBehavior::moveUp
 */
        public function moveUp(Model $Model, $id = null, $number = 1) {
                if (is_array($id)) {
                        extract(array_merge(array('id' => null), $id));
                }
                if (!$number) {
                        return false;
                }
                if (empty($id)) {
                        $id = $Model->id;
                }
                extract($this->settings[$Model->alias]);
                list($node) = array_values($Model->find('first', array(
                        'conditions' => array($scope, $Model->escapeField() => $id),
                        'fields' => array($Model->primaryKey, $left, $right, $parent), 'recursive' => $recursive
                )));
                if ($node[$parent]) {
                        list($parentNode) = array_values($Model->find('first', array(
                                'conditions' => array($scope, $Model->escapeField() => $node[$parent]),
                                'fields' => array($Model->primaryKey, $left, $right), 'recursive' => $recursive
                        )));
                        if (($node[$left] - 1) == $parentNode[$left]) {
                                return false;
                        }
                }
                $previousNode = $Model->find('first', array(
                        'conditions' => array($scope, $Model->escapeField($right) => ($node[$left] - 1)),
                        'fields' => array($Model->primaryKey, $left, $right),
                        'recursive' => $recursive
                ));

                if ($previousNode) {
                        list($previousNode) = array_values($previousNode);
                } else {
                        return false;
                }
                $edge = $this->_getMax($Model, $scope, $right, $recursive);
                $this->_sync($Model, $edge - $previousNode[$left] + 1, '+', 'BETWEEN ' . $previousNode[$left] . ' AND ' . $previousNode[$right]);
                $this->_sync($Model, $node[$left] - $previousNode[$left], '-', 'BETWEEN ' . $node[$left] . ' AND ' . $node[$right]);
                $this->_sync($Model, $edge - $previousNode[$left] - ($node[$right] - $node[$left]), '-', '> ' . $edge);
                if (is_int($number)) {
                        $number--;
                }
                if ($number) {
                        $this->moveUp($Model, $id, $number);
                }
                return true;
        }

/**
 * Recover a corrupted tree
 *
 * The mode parameter is used to specify the source of info that is valid/correct. The opposite source of data
 * will be populated based upon that source of info. E.g. if the MPTT fields are corrupt or empty, with the $mode
 * 'parent' the values of the parent_id field will be used to populate the left and right fields. The missingParentAction
 * parameter only applies to "parent" mode and determines what to do if the parent field contains an id that is not present.
 *
 * @param Model $Model Model using this behavior
 * @param string $mode parent or tree
 * @param string|int $missingParentAction 'return' to do nothing and return, 'delete' to
 * delete, or the id of the parent to set as the parent_id
 * @return bool true on success, false on failure
 * @link http://book.cakephp.org/2.0/en/core-libraries/behaviors/tree.html#TreeBehavior::recover
 */
        public function recover(Model $Model, $mode = 'parent', $missingParentAction = null) {
                if (is_array($mode)) {
                        extract(array_merge(array('mode' => 'parent'), $mode));
                }
                extract($this->settings[$Model->alias]);
                $Model->recursive = $recursive;
                if ($mode === 'parent') {
                        $Model->bindModel(array('belongsTo' => array('VerifyParent' => array(
                                'className' => $Model->name,
                                'foreignKey' => $parent,
                                'fields' => array($Model->primaryKey, $left, $right, $parent),
                        ))));
                        $missingParents = $Model->find('list', array(
                                'recursive' => 0,
                                'conditions' => array($scope, array(
                                        'NOT' => array($Model->escapeField($parent) => null), $Model->VerifyParent->escapeField() => null
                                ))
                        ));
                        $Model->unbindModel(array('belongsTo' => array('VerifyParent')));
                        if ($missingParents) {
                                if ($missingParentAction === 'return') {
                                        foreach ($missingParents as $id => $display) {
                                                $this->errors[] = 'cannot find the parent for ' . $Model->alias . ' with id ' . $id . '(' . $display . ')';
                                        }
                                        return false;
                                } elseif ($missingParentAction === 'delete') {
                                        $Model->deleteAll(array($Model->escapeField($Model->primaryKey) => array_flip($missingParents)), false);
                                } else {
                                        $Model->updateAll(array($Model->escapeField($parent) => $missingParentAction), array($Model->escapeField($Model->primaryKey) => array_flip($missingParents)));
                                }
                        }

                        $this->_recoverByParentId($Model);
                } else {
                        $db = ConnectionManager::getDataSource($Model->useDbConfig);
                        foreach ($Model->find('all', array('conditions' => $scope, 'fields' => array($Model->primaryKey, $parent), 'order' => $left)) as $array) {
                                $path = $this->getPath($Model, $array[$Model->alias][$Model->primaryKey]);
                                $parentId = null;
                                if (count($path) > 1) {
                                        $parentId = $path[count($path) - 2][$Model->alias][$Model->primaryKey];
                                }
                                $Model->updateAll(array($parent => $db->value($parentId, $parent)), array($Model->escapeField() => $array[$Model->alias][$Model->primaryKey]));
                        }
                }
                return true;
        }

/**
 * _recoverByParentId
 *
 * Recursive helper function used by recover
 *
 * @param Model $Model Model instance.
 * @param int $counter Counter
 * @param mixed $parentId Parent record Id
 * @return int counter
 */
        protected function _recoverByParentId(Model $Model, $counter = 1, $parentId = null) {
                $params = array(
                        'conditions' => array(
                                $this->settings[$Model->alias]['parent'] => $parentId
                        ),
                        'fields' => array($Model->primaryKey),
                        'page' => 1,
                        'limit' => 100,
                        'order' => array($Model->primaryKey)
                );

                $scope = $this->settings[$Model->alias]['scope'];
                if ($scope && ($scope !== '1 = 1' && $scope !== true)) {
                        $params['conditions'][] = $scope;
                }

                $children = $Model->find('all', $params);
                $hasChildren = (bool)$children;

                if ($parentId !== null) {
                        if ($hasChildren) {
                                $Model->updateAll(
                                        array($this->settings[$Model->alias]['left'] => $counter),
                                        array($Model->escapeField() => $parentId)
                                );
                                $counter++;
                        } else {
                                $Model->updateAll(
                                        array(
                                                $this->settings[$Model->alias]['left'] => $counter,
                                                $this->settings[$Model->alias]['right'] => $counter + 1
                                        ),
                                        array($Model->escapeField() => $parentId)
                                );
                                $counter += 2;
                        }
                }

                while ($children) {
                        foreach ($children as $row) {
                                $counter = $this->_recoverByParentId($Model, $counter, $row[$Model->alias][$Model->primaryKey]);
                        }

                        if (count($children) !== $params['limit']) {
                                break;
                        }
                        $params['page']++;
                        $children = $Model->find('all', $params);
                }

                if ($parentId !== null && $hasChildren) {
                        $Model->updateAll(
                                array($this->settings[$Model->alias]['right'] => $counter),
                                array($Model->escapeField() => $parentId)
                        );
                        $counter++;
                }

                return $counter;
        }

/**
 * Reorder method.
 *
 * Reorders the nodes (and child nodes) of the tree according to the field and direction specified in the parameters.
 * This method does not change the parent of any node.
 *
 * Requires a valid tree, by default it verifies the tree before beginning.
 *
 * Options:
 *
 * - 'id' id of record to use as top node for reordering
 * - 'field' Which field to use in reordering defaults to displayField
 * - 'order' Direction to order either DESC or ASC (defaults to ASC)
 * - 'verify' Whether or not to verify the tree before reorder. defaults to true.
 *
 * @param Model $Model Model using this behavior
 * @param array $options array of options to use in reordering.
 * @return bool true on success, false on failure
 * @link http://book.cakephp.org/2.0/en/core-libraries/behaviors/tree.html#TreeBehavior::reorder
 */
        public function reorder(Model $Model, $options = array()) {
                $options += array('id' => null, 'field' => $Model->displayField, 'order' => 'ASC', 'verify' => true);
                extract($options);
                if ($verify && !$this->verify($Model)) {
                        return false;
                }
                $verify = false;
                extract($this->settings[$Model->alias]);
                $fields = array($Model->primaryKey, $field, $left, $right);
                $sort = $field . ' ' . $order;
                $nodes = $this->children($Model, $id, true, $fields, $sort, null, null, $recursive);

                $cacheQueries = $Model->cacheQueries;
                $Model->cacheQueries = false;
                if ($nodes) {
                        foreach ($nodes as $node) {
                                $id = $node[$Model->alias][$Model->primaryKey];
                                $this->moveDown($Model, $id, true);
                                if ($node[$Model->alias][$left] != $node[$Model->alias][$right] - 1) {
                                        $this->reorder($Model, compact('id', 'field', 'order', 'verify'));
                                }
                        }
                }
                $Model->cacheQueries = $cacheQueries;
                return true;
        }

/**
 * Remove the current node from the tree, and reparent all children up one level.
 *
 * If the parameter delete is false, the node will become a new top level node. Otherwise the node will be deleted
 * after the children are reparented.
 *
 * @param Model $Model Model using this behavior
 * @param int|string $id The ID of the record to remove
 * @param bool $delete whether to delete the node after reparenting children (if any)
 * @return bool true on success, false on failure
 * @link http://book.cakephp.org/2.0/en/core-libraries/behaviors/tree.html#TreeBehavior::removeFromTree
 */
        public function removeFromTree(Model $Model, $id = null, $delete = false) {
                if (is_array($id)) {
                        extract(array_merge(array('id' => null), $id));
                }
                extract($this->settings[$Model->alias]);

                list($node) = array_values($Model->find('first', array(
                        'conditions' => array($scope, $Model->escapeField() => $id),
                        'fields' => array($Model->primaryKey, $left, $right, $parent),
                        'recursive' => $recursive
                )));

                if ($node[$right] == $node[$left] + 1) {
                        if ($delete) {
                                return $Model->delete($id);
                        }
                        $Model->id = $id;
                        return $Model->saveField($parent, null);
                } elseif ($node[$parent]) {
                        list($parentNode) = array_values($Model->find('first', array(
                                'conditions' => array($scope, $Model->escapeField() => $node[$parent]),
                                'fields' => array($Model->primaryKey, $left, $right),
                                'recursive' => $recursive
                        )));
                } else {
                        $parentNode[$right] = $node[$right] + 1;
                }

                $db = ConnectionManager::getDataSource($Model->useDbConfig);
                $Model->updateAll(
                        array($parent => $db->value($node[$parent], $parent)),
                        array($Model->escapeField($parent) => $node[$Model->primaryKey])
                );
                $this->_sync($Model, 1, '-', 'BETWEEN ' . ($node[$left] + 1) . ' AND ' . ($node[$right] - 1));
                $this->_sync($Model, 2, '-', '> ' . ($node[$right]));
                $Model->id = $id;

                if ($delete) {
                        $Model->updateAll(
                                array(
                                        $Model->escapeField($left) => 0,
                                        $Model->escapeField($right) => 0,
                                        $Model->escapeField($parent) => null
                                ),
                                array($Model->escapeField() => $id)
                        );
                        return $Model->delete($id);
                }
                $edge = $this->_getMax($Model, $scope, $right, $recursive);
                if ($node[$right] == $edge) {
                        $edge = $edge - 2;
                }
                $Model->id = $id;
                return $Model->save(
                        array($left => $edge + 1, $right => $edge + 2, $parent => null),
                        array('callbacks' => false, 'validate' => false)
                );
        }

/**
 * Check if the current tree is valid.
 *
 * Returns true if the tree is valid otherwise an array of (type, incorrect left/right index, message)
 *
 * @param Model $Model Model using this behavior
 * @return mixed true if the tree is valid or empty, otherwise an array of (error type [index, node],
 *  [incorrect left/right index,node id], message)
 * @link http://book.cakephp.org/2.0/en/core-libraries/behaviors/tree.html#TreeBehavior::verify
 */
        public function verify(Model $Model) {
                extract($this->settings[$Model->alias]);
                if (!$Model->find('count', array('conditions' => $scope))) {
                        return true;
                }
                $min = $this->_getMin($Model, $scope, $left, $recursive);
                $edge = $this->_getMax($Model, $scope, $right, $recursive);
                $errors = array();

                for ($i = $min; $i <= $edge; $i++) {
                        $count = $Model->find('count', array('conditions' => array(
                                $scope, 'OR' => array($Model->escapeField($left) => $i, $Model->escapeField($right) => $i)
                        )));
                        if ($count != 1) {
                                if (!$count) {
                                        $errors[] = array('index', $i, 'missing');
                                } else {
                                        $errors[] = array('index', $i, 'duplicate');
                                }
                        }
                }
                $node = $Model->find('first', array('conditions' => array($scope, $Model->escapeField($right) . '< ' . $Model->escapeField($left)), 'recursive' => 0));
                if ($node) {
                        $errors[] = array('node', $node[$Model->alias][$Model->primaryKey], 'left greater than right.');
                }

                $Model->bindModel(array('belongsTo' => array('VerifyParent' => array(
                        'className' => $Model->name,
                        'foreignKey' => $parent,
                        'fields' => array($Model->primaryKey, $left, $right, $parent)
                ))));

                foreach ($Model->find('all', array('conditions' => $scope, 'recursive' => 0)) as $instance) {
                        if ($instance[$Model->alias][$left] === null || $instance[$Model->alias][$right] === null) {
                                $errors[] = array('node', $instance[$Model->alias][$Model->primaryKey],
                                        'has invalid left or right values');
                        } elseif ($instance[$Model->alias][$left] == $instance[$Model->alias][$right]) {
                                $errors[] = array('node', $instance[$Model->alias][$Model->primaryKey],
                                        'left and right values identical');
                        } elseif ($instance[$Model->alias][$parent]) {
                                if (!$instance['VerifyParent'][$Model->primaryKey]) {
                                        $errors[] = array('node', $instance[$Model->alias][$Model->primaryKey],
                                                'The parent node ' . $instance[$Model->alias][$parent] . ' doesn\'t exist');
                                } elseif ($instance[$Model->alias][$left] < $instance['VerifyParent'][$left]) {
                                        $errors[] = array('node', $instance[$Model->alias][$Model->primaryKey],
                                                'left less than parent (node ' . $instance['VerifyParent'][$Model->primaryKey] . ').');
                                } elseif ($instance[$Model->alias][$right] > $instance['VerifyParent'][$right]) {
                                        $errors[] = array('node', $instance[$Model->alias][$Model->primaryKey],
                                                'right greater than parent (node ' . $instance['VerifyParent'][$Model->primaryKey] . ').');
                                }
                        } elseif ($Model->find('count', array('conditions' => array($scope, $Model->escapeField($left) . ' <' => $instance[$Model->alias][$left], $Model->escapeField($right) . ' >' => $instance[$Model->alias][$right]), 'recursive' => 0))) {
                                $errors[] = array('node', $instance[$Model->alias][$Model->primaryKey], 'The parent field is blank, but has a parent');
                        }
                }
                if ($errors) {
                        return $errors;
                }
                return true;
        }

/**
 * Sets the parent of the given node
 *
 * The force parameter is used to override the "don't change the parent to the current parent" logic in the event
 * of recovering a corrupted table, or creating new nodes. Otherwise it should always be false. In reality this
 * method could be private, since calling save with parent_id set also calls setParent
 *
 * @param Model $Model Model using this behavior
 * @param int|string $parentId Parent record Id
 * @param bool $created True if newly created record else false.
 * @return bool true on success, false on failure
 */
        protected function _setParent(Model $Model, $parentId = null, $created = false) {
                extract($this->settings[$Model->alias]);
                list($node) = array_values($Model->find('first', array(
                        'conditions' => array($scope, $Model->escapeField() => $Model->id),
                        'fields' => array($Model->primaryKey, $parent, $left, $right),
                        'recursive' => $recursive
                )));
                $edge = $this->_getMax($Model, $scope, $right, $recursive, $created);

                if (empty($parentId)) {
                        $this->_sync($Model, $edge - $node[$left] + 1, '+', 'BETWEEN ' . $node[$left] . ' AND ' . $node[$right], $created);
                        $this->_sync($Model, $node[$right] - $node[$left] + 1, '-', '> ' . $node[$left], $created);
                } else {
                        $values = $Model->find('first', array(
                                'conditions' => array($scope, $Model->escapeField() => $parentId),
                                'fields' => array($Model->primaryKey, $left, $right),
                                'recursive' => $recursive
                        ));

                        if ($values === false) {
                                return false;
                        }
                        $parentNode = array_values($values);

                        if (empty($parentNode) || empty($parentNode[0])) {
                                return false;
                        }
                        $parentNode = $parentNode[0];

                        if (($Model->id === $parentId)) {
                                return false;
                        } elseif (($node[$left] < $parentNode[$left]) && ($parentNode[$right] < $node[$right])) {
                                return false;
                        }
                        if (empty($node[$left]) && empty($node[$right])) {
                                $this->_sync($Model, 2, '+', '>= ' . $parentNode[$right], $created);
                                $result = $Model->save(
                                        array($left => $parentNode[$right], $right => $parentNode[$right] + 1, $parent => $parentId),
                                        array('validate' => false, 'callbacks' => false)
                                );
                                $Model->data = $result;
                        } else {
                                $this->_sync($Model, $edge - $node[$left] + 1, '+', 'BETWEEN ' . $node[$left] . ' AND ' . $node[$right], $created);
                                $diff = $node[$right] - $node[$left] + 1;

                                if ($node[$left] > $parentNode[$left]) {
                                        if ($node[$right] < $parentNode[$right]) {
                                                $this->_sync($Model, $diff, '-', 'BETWEEN ' . $node[$right] . ' AND ' . ($parentNode[$right] - 1), $created);
                                                $this->_sync($Model, $edge - $parentNode[$right] + $diff + 1, '-', '> ' . $edge, $created);
                                        } else {
                                                $this->_sync($Model, $diff, '+', 'BETWEEN ' . $parentNode[$right] . ' AND ' . $node[$right], $created);
                                                $this->_sync($Model, $edge - $parentNode[$right] + 1, '-', '> ' . $edge, $created);
                                        }
                                } else {
                                        $this->_sync($Model, $diff, '-', 'BETWEEN ' . $node[$right] . ' AND ' . ($parentNode[$right] - 1), $created);
                                        $this->_sync($Model, $edge - $parentNode[$right] + $diff + 1, '-', '> ' . $edge, $created);
                                }
                        }
                }
                return true;
        }

/**
 * get the maximum index value in the table.
 *
 * @param Model $Model Model Instance.
 * @param string $scope Scoping conditions.
 * @param string $right Right value
 * @param int $recursive Recursive find value.
 * @param bool $created Whether it's a new record.
 * @return int
 */
        protected function _getMax(Model $Model, $scope, $right, $recursive = -1, $created = false) {
                $db = ConnectionManager::getDataSource($Model->useDbConfig);
                if ($created) {
                        if (is_string($scope)) {
                                $scope .= " AND " . $Model->escapeField() . " <> ";
                                $scope .= $db->value($Model->id, $Model->getColumnType($Model->primaryKey));
                        } else {
                                $scope['NOT'][$Model->alias . '.' . $Model->primaryKey] = $Model->id;
                        }
                }
                $name = $Model->escapeField($right);
                list($edge) = array_values($Model->find('first', array(
                        'conditions' => $scope,
                        'fields' => $db->calculate($Model, 'max', array($name, $right)),
                        'recursive' => $recursive,
                        'callbacks' => false
                )));
                return (empty($edge[$right])) ? 0 : $edge[$right];
        }

/**
 * get the minimum index value in the table.
 *
 * @param Model $Model Model instance.
 * @param string $scope Scoping conditions.
 * @param string $left Left value.
 * @param int $recursive Recurursive find value.
 * @return int
 */
        protected function _getMin(Model $Model, $scope, $left, $recursive = -1) {
                $db = ConnectionManager::getDataSource($Model->useDbConfig);
                $name = $Model->escapeField($left);
                list($edge) = array_values($Model->find('first', array(
                        'conditions' => $scope,
                        'fields' => $db->calculate($Model, 'min', array($name, $left)),
                        'recursive' => $recursive,
                        'callbacks' => false
                )));
                return (empty($edge[$left])) ? 0 : $edge[$left];
        }

/**
 * Table sync method.
 *
 * Handles table sync operations, Taking account of the behavior scope.
 *
 * @param Model $Model Model instance.
 * @param int $shift Shift by.
 * @param string $dir Direction.
 * @param array $conditions Conditions.
 * @param bool $created Whether it's a new record.
 * @param string $field Field type.
 * @return void
 */
        protected function _sync(Model $Model, $shift, $dir = '+', $conditions = array(), $created = false, $field = 'both') {
                $ModelRecursive = $Model->recursive;
                extract($this->settings[$Model->alias]);
                $Model->recursive = $recursive;

                if ($field === 'both') {
                        $this->_sync($Model, $shift, $dir, $conditions, $created, $left);
                        $field = $right;
                }
                if (is_string($conditions)) {
                        $conditions = array($Model->escapeField($field) . " {$conditions}");
                }
                if (($scope !== '1 = 1' && $scope !== true) && $scope) {
                        $conditions[] = $scope;
                }
                if ($created) {
                        $conditions['NOT'][$Model->escapeField()] = $Model->id;
                }
                $Model->updateAll(array($Model->escapeField($field) => $Model->escapeField($field) . ' ' . $dir . ' ' . $shift), $conditions);
                $Model->recursive = $ModelRecursive;
        }

}