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RTree.cpp
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5243 lines (4975 loc) · 183 KB
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//
// Created by Kaiyu on 2020/7/25.
//
#include "RTree.h"
int TreeNode::maximum_entry = 100;
int TreeNode::minimum_entry = 40;
double TreeNode::RR_s = 0.5;
Rectangle::Rectangle() {
left_ = 1;
right_ = -1;
bottom_ = 1;
top_ = -1;
}
Rectangle::Rectangle(const Rectangle& rectangle) {
left_ = rectangle.Left();
right_ = rectangle.Right();
bottom_ = rectangle.Bottom();
top_ = rectangle.Top();
}
void Rectangle::Include(const Rectangle &rectangle) {
left_ = min(left_, rectangle.Left());
right_ = max(right_, rectangle.Right());
bottom_ = min(bottom_, rectangle.Bottom());
top_ = max(top_, rectangle.Top());
}
Rectangle Rectangle::Merge(const Rectangle& rectangle) {
double l = min(left_, rectangle.Left());
double r = max(right_, rectangle.Right());
double b = min(bottom_, rectangle.Bottom());
double t = max(top_, rectangle.Top());
Rectangle rec(l, r, b, t);
return rec;
}
void Rectangle::Set(const Rectangle &rectangle) {
left_ = rectangle.Left();
right_ = rectangle.Right();
bottom_ = rectangle.Bottom();
top_ = rectangle.Top();
}
void Rectangle::Set(double l, double r, double b, double t) {
left_ = l;
right_ = r;
bottom_ = b;
top_ = t;
}
bool Rectangle::IsValid() {
if (right_ >= left_ && top_ >= bottom_) {
return true;
}
else {
return false;
}
}
Rectangle Merge(const Rectangle& rectangle1, const Rectangle& rectangle2) {
return Rectangle(min(rectangle1.Left(), rectangle2.Left()), max(rectangle1.Right(), rectangle2.Right()), min(rectangle1.Bottom(), rectangle2.Bottom()), max(rectangle1.Top(), rectangle2.Top()));
}
Rectangle Overlap(const Rectangle& rectangle1, const Rectangle& rectangle2) {
Rectangle ovlp;
double left = max(rectangle1.left_, rectangle2.left_);
double right = min(rectangle1.right_, rectangle2.right_);
double bottom = max(rectangle1.bottom_, rectangle2.bottom_);
double top = min(rectangle1.top_, rectangle2.top_);
if (left < right && bottom < top) {
ovlp.Set(left, right, bottom, top);
}
return ovlp;
}
void Stats::Reset() {
node_access = 0;
for (int i = 0; i < 5; i++) {
action_history[i] = 0;
}
}
void Stats::TakeAction(int action) {
action_history[action] += 1;
}
/*
double Overlap(const Rectangle& rectangle1, const Rectangle& rectangle2){
double left = max(rectangle1.left, rectangle2.left);
double right = min(rectangle1.right, rectangle2.right);
double bottom = max(rectangle1.bottom, rectangle2.bottom);
double top = min(rectangle1.top, rectangle2.top);
if(left < right && bottom < top){
return (top - bottom) * (right - left);
}
else{
return 0;
}
}
*/
/*
double Area(const Rectangle& rectangle){
return (rectangle.top - rectangle.bottom) * (rectangle.right - rectangle.left);
}
double Perimeter(const Rectangle& rectangle){
return 2 * (rectangle.top - rectangle.bottom + rectangle.right - rectangle.left);
}
*/
double SplitArea(const Rectangle& rectangle1, const Rectangle& rectangle2) {
return rectangle1.Area() + rectangle2.Area();
}
//template<class T>
//double SplitArea(T* t1, T* t2) {
// return t1->Area() + t2->Area();
//}
double SplitPerimeter(const Rectangle& rectangle1, const Rectangle& rectangle2) {
return rectangle1.Perimeter() + rectangle2.Perimeter();
}
//template<class T>
//double SlitPerimeter(T* t1, T* t2) {
// return t1->Perimeter() + t2->Perimeter();
//}
double SplitOverlap(const Rectangle& rectangle1, const Rectangle& rectangle2) {
double left = max(rectangle1.Left(), rectangle2.Left());
double right = min(rectangle1.Right(), rectangle2.Right());
double bottom = max(rectangle1.Bottom(), rectangle2.Bottom());
double top = min(rectangle1.Top(), rectangle2.Top());
if (left < right && bottom < top) {
return (top - bottom) * (right - left);
}
else {
return 0;
}
}
double MarginOvlpPerim(const Rectangle* rectangle1, const Rectangle* obj, const Rectangle* rectangle2){
Rectangle r;
r.Set(*rectangle1);
r.Include(*obj);
double left = max(r.Left(), rectangle2->Left());
double right = min(r.Right(), rectangle2->Right());
double bottom = max(r.Bottom(), rectangle2->Bottom());
double top = min(r.Top(), rectangle2->Top());
double perim1 = 0, perim2 = 0;
if(left < right && bottom <top){
perim1 = (right - left) * 2 + (top - bottom) * 2;
}
left = max(rectangle1->Left(), rectangle2->Left());
right = min(rectangle1->Right(), rectangle2->Right());
bottom = max(rectangle1->Bottom(), rectangle2->Bottom());
top = min(rectangle1->Top(), rectangle2->Top());
if(left < right && bottom < top){
perim2 = (right - left) * 2 + (top - bottom) * 2;
}
return perim1 - perim2;
}
double MarginOvlpArea(const Rectangle* rectangle1, const Rectangle* obj, const Rectangle* rectangle2){
Rectangle r;
r.Set(*rectangle1);
r.Include(*obj);
double left = max(r.Left(), rectangle2->Left());
double right = min(r.Right(), rectangle2->Right());
double bottom = max(r.Bottom(), rectangle2->Bottom());
double top = min(r.Top(), rectangle2->Top());
double area1 = 0, area2 = 0;
if(left < right && bottom < top){
area1 = (right - left) * (top - bottom);
}
left = max(rectangle1->Left(), rectangle2->Left());
right = min(rectangle1->Right(), rectangle2->Right());
bottom = max(rectangle1->Bottom(), rectangle2->Bottom());
top = min(rectangle1->Top(), rectangle2->Top());
if(left < right && bottom < top){
area2 = (right - left) * (top - bottom);
}
return area1 - area2;
}
//template<class T>
//double SplitOverlap(T* t1, T* t2) {
// double left = max(t1->Left(), t2->Left());
// double right = min(t1->Right(), t2->Right());
// double bottom = max(t1->Bottom(), t2->Bottom());
// double top = min(t1->Top(), t2->Top());
// if (left < right && bottom < top) {
// return (top - bottom) * (right - left);
// }
// else {
// return 0;
// }
//}
bool Rectangle::Contains(const Rectangle* rec) {
if (left_ <= rec->left_ && rec->right_ <= right_ && bottom_ <= rec->bottom_ && top_ >= rec->top_) {
return true;
}
else {
return false;
}
}
//bool IsContained(const Rectangle& rectangle1, const Rectangle& rectangle2){
// if(rectangle1.right >= rectangle2.right && rectangle1.left <= rectangle2.left &&
// rectangle1.top >= rectangle2.top && rectangle1.bottom <= rectangle2.bottom){
// return true;
// }
// else{
// return false;
// }
//}
bool Rectangle::IsOverlap(Rectangle* rec) {
double left = max(left_, rec->left_);
double right = min(right_, rec->right_);
double bottom = max(bottom_, rec->bottom_);
double top = min(top_, rec->top_);
if (left < right && bottom < top) {
return true;
}
else {
return false;
}
}
//bool IsOverlapped(const Rectangle& rectangle1, const Rectangle& rectangle2){
// double left = max(rectangle1.left, rectangle2.left);
// double right = min(rectangle1.right, rectangle2.right);
// double bottom = max(rectangle1.bottom, rectangle2.bottom);
// double top = min(rectangle1.top, rectangle2.top);
// if(left < right && bottom < top){
// return true;
// }
// else{
// return false;
// }
//}
bool SortedByLeft(const Rectangle* rec1, const Rectangle* rec2) {
if(rec1->left_ < rec2->left_)return true;
if(rec1->left_ > rec2->left_)return false;
if(rec1->right_ < rec2->right_)return true;
if(rec1->right_ > rec2->right_)return false;
if(rec1->bottom_ < rec2->bottom_)return true;
if(rec1->bottom_ > rec2->bottom_)return false;
if(rec1->top_ < rec2->top_)return true;
if(rec1->top_ > rec2->top_)return false;
return rec1->id_ < rec2->id_;
}
bool SortedByRight(const Rectangle* rec1, const Rectangle* rec2) {
if(rec1->right_ < rec2->right_)return true;
if(rec1->right_ > rec2->right_)return false;
if(rec1->left_ < rec2->left_)return true;
if(rec1->left_ > rec2->left_)return false;
if(rec1->bottom_ < rec2->bottom_)return true;
if(rec1->bottom_ > rec2->bottom_)return false;
if(rec1->top_ < rec2->top_)return true;
if(rec1->top_ > rec2->top_)return false;
return rec1->id_ < rec2->id_;
}
bool SortedByTop(const Rectangle* rec1, const Rectangle* rec2) {
if(rec1->top_ < rec2->top_)return true;
if(rec1->top_ > rec2->top_)return false;
if(rec1->bottom_ < rec2->bottom_)return true;
if(rec1->bottom_ > rec2->bottom_)return false;
if(rec1->left_ < rec2->left_)return true;
if(rec1->left_ > rec2->left_)return false;
if(rec1->right_ < rec2->right_)return true;
if(rec1->right_ > rec2->right_)return false;
return rec1->id_ < rec2->id_;
}
bool SortedByBottom(const Rectangle* rec1, const Rectangle* rec2) {
if(rec1->bottom_ < rec2->bottom_)return true;
if(rec1->bottom_ > rec2->bottom_)return false;
if(rec1->top_ < rec2->top_)return true;
if(rec1->top_ > rec2->top_)return false;
if(rec1->left_ < rec2->left_)return true;
if(rec1->left_ > rec2->left_)return false;
if(rec1->right_ < rec2->right_)return true;
if(rec1->right_ > rec2->right_)return false;
return rec1->id_ < rec2->id_;
}
bool CompareByArea(const Rectangle* rec1, const Rectangle* rec2){
return rec1->Area() < rec2->Area();
}
TreeNode::TreeNode() {
entry_num = 0;
is_overflow = false;
children = vector<int>(TreeNode::maximum_entry + 1);
father = -1;
}
TreeNode::TreeNode(TreeNode* node) {
entry_num = node->entry_num;
is_overflow = node->is_overflow;
is_leaf = node->is_leaf;
children = vector<int>(TreeNode::maximum_entry + 1);
for (int i = 0; i < entry_num; i++) {
children[i] = node->children[i];
}
origin_center[0] = node->origin_center[0];
origin_center[1] = node->origin_center[1];
father = node->father;
left_ = node->left_;
right_ = node->right_;
bottom_ = node->bottom_;
top_ = node->top_;
id_ = node->id_;
}
bool TreeNode::AddChildren(int node_id) {
children[entry_num] = node_id;
entry_num += 1;
if (entry_num > TreeNode::maximum_entry) {
is_overflow = true;
}
return is_overflow;
}
bool TreeNode::AddChildren(TreeNode *node) {
children[entry_num] = node->id_;
entry_num += 1;
if (entry_num > TreeNode::maximum_entry) {
is_overflow = true;
}
return is_overflow;
}
bool TreeNode::CopyChildren(const vector<int>& nodes) {
if (nodes.size() >= TreeNode::maximum_entry)return false;
int idx = 0;
for (int idx = 0; idx < nodes.size(); idx++) {
children[idx] = nodes[idx];
}
entry_num = nodes.size();
is_overflow = false;
return true;
}
bool TreeNode::CopyChildren(const vector<TreeNode *> &nodes) {
if (nodes.size() >= TreeNode::maximum_entry)return false;
for (int idx = 0; idx < nodes.size(); idx++) {
children[idx] = nodes[idx]->id_;
}
entry_num = nodes.size();
is_overflow = false;
return true;
}
Rectangle* RTree::InsertRectangle(double left, double right, double bottom, double top) {
Rectangle* rectangle = new Rectangle(left, right, bottom, top);
rectangle->id_ = objects_.size();
objects_.push_back(rectangle);
return rectangle;
}
TreeNode* RTree::InsertStepByStep(const Rectangle *rectangle, TreeNode *tree_node) {
return InsertStepByStep(rectangle, tree_node, insert_strategy_);
}
void RTree::PrintEntryNum() {
TreeNode* iter = nullptr;
list<TreeNode*> queue;
queue.push_back(tree_nodes_[root_]);
while (!queue.empty()) {
iter = queue.front();
queue.pop_front();
cout << iter->entry_num << " ";
if (!iter->is_leaf) {
for (int i = 0; i < iter->entry_num; i++) {
int child_id = iter->children[i];
queue.push_back(tree_nodes_[child_id]);
}
}
}
}
void RTree::Print() {
TreeNode* iter = nullptr;
list<TreeNode*> queue;
queue.push_back(tree_nodes_[root_]);
while (!queue.empty()) {
iter = queue.front();
queue.pop_front();
cout << "node: [" << iter->left_ << ", " << iter->right_ << ", " << iter->bottom_ << ", " << iter->top_ << "]";
cout << " " << iter->entry_num << " children, is_overflow: "<<iter->is_overflow;
for (int i = 0; i < iter->entry_num; i++) {
if (iter->is_leaf) {
int child_idx = iter->children[i];
Rectangle* r_iter = objects_[child_idx];
cout << " object [" << r_iter->left_ << ", " << r_iter->right_ << ", " << r_iter->bottom_ << ", " << r_iter->top_ << "]";
}
else {
int child_idx = iter->children[i];
TreeNode* t_iter = tree_nodes_[child_idx];
cout << " node[" << t_iter->left_ << ", " << t_iter->right_ << ", " << t_iter->bottom_ << ", " << t_iter->top_ << "]";
queue.push_back(t_iter);
}
}
cout << endl;
}
cout << "#######################"<<endl;
}
TreeNode* RTree::SplitStepByStep(TreeNode *tree_node) {
return SplitStepByStep(tree_node, split_strategy_);
}
template<class T>
Rectangle MergeRange(const vector<T*>& entries, const int start_idx, const int end_idx) {
Rectangle rectangle(*entries[start_idx]);
for (int idx = start_idx + 1; idx < end_idx; ++idx) {
rectangle.Include(*entries[idx]);
}
return rectangle;
}
template<class T>
pair<double, bool> SplitPerimSum(const vector<T*>& entries){
Rectangle prefix = MergeRange<T>(entries, 0, TreeNode::minimum_entry - 1);
Rectangle suffix = MergeRange<T>(entries, TreeNode::maximum_entry - TreeNode::minimum_entry+1, entries.size());
double perim_sum = 0;
Rectangle rec_remaining;
bool is_overlap = true;
for(int idx = TreeNode::minimum_entry - 1; idx < TreeNode::maximum_entry - TreeNode::minimum_entry + 1; idx++){
prefix.Include(*entries[idx]);
rec_remaining.Set(suffix);
for(int i = idx + 1; i < TreeNode::maximum_entry - TreeNode::minimum_entry + 1; i++){
rec_remaining.Include(*entries[i]);
}
if(!prefix.IsOverlap(&rec_remaining)){
is_overlap = false;
}
perim_sum += prefix.Perimeter() + rec_remaining.Perimeter();
}
pair<double, bool> result;
result.first = perim_sum;
result.second = is_overlap;
return result;
}
//Rectangle RTree::MergeRange(const vector<Rectangle*>& entries, const int start_idx, const int end_idx) {
// Rectangle rectangle(*entries[0]);
// for (int idx = start_idx + 1; idx < end_idx; ++idx) {
// rectangle.Include(*entries[idx]);
// }
// return rectangle;
//}
//Rectangle RTree::MergeRange(const vector<TreeNode*> &entry_list, const int start_idx, const int end_idx) {
// Rectangle rectangle(*entry_list[start_idx]);
// for(int idx = start_idx+1; idx < end_idx; ++idx){
// rectangle.Include(*entry_list[idx]);
// }
// return rectangle;
//}
template<class T>
int FindMinimumSplit(const vector<T*>& entries, double(*score_func1)(const Rectangle &, const Rectangle &),
double(*score_func2)(const Rectangle &, const Rectangle &), double& min_value1, double& min_value2, Rectangle& rec1, Rectangle& rec2) {
Rectangle rec_prefix = MergeRange<T>(entries, 0, TreeNode::minimum_entry - 1);
Rectangle rec_suffix = MergeRange<T>(entries, TreeNode::maximum_entry - TreeNode::minimum_entry + 1, entries.size());
int optimal_split = -1;
for (int idx = TreeNode::minimum_entry - 1; idx < TreeNode::maximum_entry - TreeNode::minimum_entry + 1; idx++) {
rec_prefix.Include(*entries[idx]);
Rectangle rec_remaining(rec_suffix);
for (int i = idx + 1; i < TreeNode::maximum_entry - TreeNode::minimum_entry + 1; i++) {
rec_remaining.Include(*entries[i]);
}
double value1 = score_func1(rec_prefix, rec_remaining);
double value2 = score_func2(rec_prefix, rec_remaining);
if (value1 < min_value1 || (value1 == min_value1 && value2 < min_value2)) {
min_value1 = value1;
min_value2 = value2;
rec1.Set(rec_prefix);
rec2.Set(rec_remaining);
optimal_split = idx;
}
}
return optimal_split;
}
template<class T>
int FindMinimumSplitRR(const vector<T*>& entries, double ys, double y1, double miu, double delta, double perim_max, Rectangle& rec1, Rectangle& rec2){
Rectangle rec_prefix = MergeRange<T>(entries, 0, TreeNode::minimum_entry - 1);
Rectangle rec_suffix = MergeRange<T>(entries, TreeNode::maximum_entry - TreeNode::minimum_entry +1, entries.size());
int optimal_split = -1;
Rectangle rec_remaining;
double min_score = DBL_MAX;
for(int idx = TreeNode::minimum_entry - 1; idx < TreeNode::maximum_entry - TreeNode::minimum_entry + 1; idx++){
rec_prefix.Include(*entries[idx]);
rec_remaining.Set(rec_suffix);
for(int i = idx + 1; i < TreeNode::maximum_entry - TreeNode::minimum_entry + 1; i++){
rec_remaining.Include(*entries[i]);
}
double wg = 0;
if(rec_prefix.IsOverlap(&rec_remaining)){
wg = SplitOverlap(rec_prefix, rec_remaining);
}
else{
wg = rec_prefix.Perimeter() + rec_remaining.Perimeter() - perim_max;
}
double x = (2.0 * idx) / (TreeNode::maximum_entry + 1) - 1;
double wf = ys * (exp(-1.0 * (x - miu) * (x-miu) / delta /delta) - y1);
double score = 0;
if(rec_prefix.IsOverlap(&rec_remaining)){
score = wg / wf;
}
else{
score = wg * wf;
}
if(score < min_score){
min_score = score;
optimal_split = idx;
rec1.Set(rec_prefix);
rec2.Set(rec_remaining);
}
}
return optimal_split;
}
//void RTree::FindMinimumSplit(const vector<Rectangle*> &entry_list, double(*score_func1)(const Rectangle &, const Rectangle &), double(*score_func2)(const Rectangle &, const Rectangle &), double &min_value1, double &min_value2, vector<Rectangle> &child1, vector<Rectangle> &child2) {
// Rectangle rec_prefix = MergeRange(entry_list, 0, TreeNode::minimum_entry);
// Rectangle rec_suffix = MergeRange(entry_list, TreeNode::maximum_entry + 1, entry_list.size());
// int optimal_split = -1;
// for (int idx = TreeNode::minimum_entry; idx <= TreeNode::maximum_entry; idx++) {
// rec_prefix.Include(entry_list[idx]);
// Rectangle rec_remaining(rec_suffix);
// for (int i = idx + 1; i < TreeNode::maximum_entry + 1; i++) {
// rec_remaining.Include(entry_list[i]);
// }
// double value1 = score_func1(rec_prefix, rec_remaining);
// double value2 = score_func2(rec_prefix, rec_remaining);
// if (value1 < min_value1 || (value1 == min_value1 && value2 < min_value2)) {
// min_value1 = value1;
// min_value2 = value2;
// optimal_split = idx;
// //child1.assign(entry_list.begin, entry_list.begin(0))
// }
// }
// if (optimal_split > 0) {
// child1.assign(entry_list.begin(), entry_list.begin() + optimal_split + 1);
// child2.assign(entry_list.begin() + optimal_split + 1, entry_list.end());
// }
//}
//void RTree::FindMinimumSplit(const vector<TreeNode *> &entry_list, double (*score_func1)(const Rectangle &, const Rectangle &), double (*score_func2)(const Rectangle &, const Rectangle &), double &min_value1, double &min_value2, vector<TreeNode *> &child1, vector<TreeNode *> &child2) {
// Rectangle rec_prefix = MergeRange(entry_list, 0, TreeNode::minimum_entry);
// Rectangle rec_suffix = MergeRange(entry_list, TreeNode::maximum_entry+1, entry_list.size());
// int optimal_split = -1;
// for(int idx = TreeNode::minimum_entry; idx <= TreeNode::maximum_entry; idx++){
// rec_prefix.Include(entry_list[idx]->bounding_box);
// Rectangle rec_remaining(rec_suffix);
// for(int i = idx+1; i<TreeNode::maximum_entry+1; i++){
// rec_remaining.Include(entry_list[i]->bounding_box);
// }
// double value1 = score_func1(rec_prefix, rec_remaining);
// double value2 = score_func2(rec_prefix, rec_remaining);
// if(value1 < min_value1 || (value1 == min_value1 && value2 < min_value2)){
// min_value1 = value1;
// min_value2 = value2;
// optimal_split = idx;
// //child1.assign(entry_list.begin(), entry_list.begin() + idx + 1);
// //child2.assign(entry_list.begin() + idx + 1, entry_list.end());
// }
// }
// if (optimal_split > 0) {
// child1.assign(entry_list.begin(), entry_list.begin() + optimal_split + 1);
// child2.assign(entry_list.begin() + optimal_split + 1, entry_list.end());
// }
//}
RTree::RTree() {
TreeNode* root = CreateNode();
height_ = 1;
root->is_leaf = true;
root_ = 0;
RR_s = 0.5;
RR_y1 = exp(-1 / RR_s / RR_s);
RR_ys = 1.0 / (1.0 - RR_y1);
}
TreeNode* RTree::Root() {
return tree_nodes_[root_];
}
void RTree::Recover(RTree* rtree) {
for (auto it = history.begin(); it != history.end(); ++it) {
int node_id = *it;
tree_nodes_[node_id]->Set(*(rtree->tree_nodes_[node_id]));
tree_nodes_[node_id]->entry_num = rtree->tree_nodes_[node_id]->entry_num;
tree_nodes_[node_id]->origin_center[0] = rtree->tree_nodes_[node_id]->origin_center[0];
tree_nodes_[node_id]->origin_center[1] = rtree->tree_nodes_[node_id]->origin_center[1];
for (int i = 0; i < tree_nodes_[node_id]->entry_num; i++) {
tree_nodes_[node_id]->children[i] = rtree->tree_nodes_[node_id]->children[i];
int child = tree_nodes_[node_id]->children[i];
tree_nodes_[child]->father = node_id;
}
}
}
TreeNode* SplitWithSortedLoc(RTree* tree, TreeNode* tree_node, int loc){
TreeNode* node = tree->SplitInSortedLoc(tree_node, loc);
return node;
}
TreeNode* SplitWithCandidateAction(RTree* tree, TreeNode* tree_node, int loc){
TreeNode* next_node = tree->SplitWithCandidateAction(tree_node, loc);
return next_node;
}
TreeNode* SplitWithLoc(RTree* tree, TreeNode* tree_node, int loc) {
TreeNode* node = tree->SplitInLoc(tree_node, loc);
return node;
}
TreeNode* InsertWithLoc(RTree* tree, TreeNode* tree_node, int loc, Rectangle* rec){
//cout<<"insert with loc invoked"<<endl;
if(tree_node->entry_num > 0){
loc = loc % tree_node->entry_num;
}
TreeNode* next_node = tree->InsertInLoc(tree_node, loc, rec);
return next_node;
}
TreeNode* InsertWithSortedLoc(RTree* tree, TreeNode* tree_node, int sorted_loc, Rectangle* rec){
if(tree->tmp_sorted_children.empty()){
cout<<"Children haven't been sorted yet."<<endl;
exit(0);
}
if(tree->tmp_sorted_children.size() > 0){
sorted_loc = sorted_loc % tree->tmp_sorted_children.size();
}
TreeNode* next_node = tree->InsertInSortedLoc(tree_node, sorted_loc, rec);
tree->tmp_sorted_children.clear();
return next_node;
}
TreeNode* RTree::InsertInSortedLoc(TreeNode *tree_node, int sorted_loc, Rectangle *rec){
TreeNode* next_node = nullptr;
if(tree_node->is_leaf){
if(tree_node->entry_num == 0){
tree_node->Set(*rec);
tree_node->origin_center[0] = 0.5 * (rec->Right() + rec->Left());
tree_node->origin_center[1] = 0.5 * (rec->Bottom() + rec->Top());
}
else{
tree_node->Include(*rec);
}
tree_node->AddChildren(rec->id_);
}
else{
tree_node->Include(*rec);
next_node = tmp_sorted_children[sorted_loc];
}
return next_node;
}
TreeNode* RTree::InsertInLoc(TreeNode *tree_node, int loc, Rectangle *rec){
TreeNode* next_node = nullptr;
if(tree_node->is_leaf){
//cout<<"is leaf"<<endl;
if(tree_node->entry_num == 0){
tree_node->Set(*rec);
tree_node->origin_center[0] = 0.5 * (rec->Left() + rec->Right());
tree_node->origin_center[1] = 0.5 * (rec->Bottom() + rec->Top());
}
else{
tree_node->Include(*rec);
}
tree_node->AddChildren(rec->id_);
}
else{
tree_node->Include(*rec);
int next_node_id = tree_node->children[loc];
next_node = tree_nodes_[next_node_id];
}
return next_node;
}
TreeNode* RTree::SplitInSortedLoc(TreeNode* tree_node, int sorted_loc){
TreeNode* next_node = nullptr;
vector<int> new_child1;
vector<int> new_child2;
Rectangle bounding_box1;
Rectangle bounding_box2;
bool is_horizontal = sorted_split_loc[sorted_loc].second.first;
int split_loc = sorted_split_loc[sorted_loc].second.second;
//cout<<"split in loc "<<split_loc<<" is_horizontal: "<<is_horizontal<<endl;
if(tree_node->is_leaf){
vector<Rectangle*> recs(tree_node->entry_num);
for(int i=0; i<tree_node->entry_num; i++){
int obj_id = tree_node->children[i];
recs[i] = objects_[obj_id];
}
if(is_horizontal){
sort(recs.begin(), recs.end(), SortedByLeft);
}
else{
sort(recs.begin(), recs.end(), SortedByBottom);
}
new_child1.resize(split_loc + 1);
new_child2.resize(TreeNode::maximum_entry - split_loc);
for(int i=0; i<split_loc + 1; i++){
new_child1[i] = recs[i]->id_;
}
for(int i=split_loc + 1; i < recs.size(); i++){
new_child2[i-split_loc-1] = recs[i]->id_;
}
bounding_box1.Set(*recs[0]);
for(int i=1; i<split_loc+1; i++){
bounding_box1.Include(*recs[i]);
}
bounding_box2.Set(*recs[split_loc+1]);
for(int i=split_loc+2; i<recs.size(); i++){
bounding_box2.Include(*recs[i]);
}
}
else{
vector<TreeNode*> nodes(tree_node->entry_num);
for(int i=0; i<tree_node->entry_num; i++){
int node_id = tree_node->children[i];
nodes[i] = tree_nodes_[node_id];
}
if(is_horizontal){
sort(nodes.begin(), nodes.end(), SortedByLeft);
}
else{
sort(nodes.begin(), nodes.end(), SortedByBottom);
}
new_child1.resize(split_loc+1);
new_child2.resize(TreeNode::maximum_entry - split_loc);
for(int i=0; i<split_loc + 1; i++){
new_child1[i] = nodes[i]->id_;
}
for(int i = split_loc+1; i<nodes.size(); i++){
new_child2[i - split_loc - 1] = nodes[i]->id_;
}
bounding_box1.Set(*nodes[0]);
for(int i=1; i<split_loc + 1; i++){
bounding_box1.Include(*nodes[i]);
}
bounding_box2.Set(*nodes[split_loc+1]);
for(int i=split_loc+2; i<nodes.size(); i++){
bounding_box2.Include(*nodes[i]);
}
}
TreeNode* sibling = CreateNode();
sibling->is_leaf = tree_node->is_leaf;
sibling->CopyChildren(new_child2);
if (!sibling->is_leaf) {
for (int i = 0; i < new_child2.size(); i++) {
tree_nodes_[new_child2[i]]->father = sibling->id_;
}
}
sibling->Set(bounding_box2);
sibling->origin_center[0] = 0.5 * (bounding_box2.Left() + bounding_box2.Right());
sibling->origin_center[1] = 0.5 * (bounding_box2.Bottom() + bounding_box2.Top());
tree_node->CopyChildren(new_child1);
if (!tree_node->is_leaf) {
for (int i = 0; i < new_child1.size(); i++) {
tree_nodes_[new_child1[i]]->father = tree_node->id_;
}
}
tree_node->Set(bounding_box1);
tree_node->origin_center[0] = 0.5 * (bounding_box1.Left() + bounding_box1.Right());
tree_node->origin_center[1] = 0.5 * (bounding_box1.Bottom() + bounding_box1.Top());
if (tree_node->father >= 0) {
tree_nodes_[tree_node->father]->AddChildren(sibling);
tree_nodes_[tree_node->father]->Include(bounding_box2);
sibling->father = tree_node->father;
}
else {
TreeNode* new_root = CreateNode();
new_root->is_leaf = false;
new_root->AddChildren(tree_node);
new_root->AddChildren(sibling);
new_root->Set(bounding_box1);
new_root->Include(bounding_box2);
new_root->origin_center[0] = 0.5 * (new_root->Left() + new_root->Right());
new_root->origin_center[1] = 0.5 * (new_root->Bottom() + new_root->Top());
root_ = new_root->id_;
tree_node->father = new_root->id_;
sibling->father = new_root->id_;
height_ += 1;
}
next_node = tree_nodes_[tree_node->father];
return next_node;
}
TreeNode* RTree::SplitInLoc(TreeNode* tree_node, int loc, int dim){
TreeNode* next_node = nullptr;
vector<int> new_child1;
vector<int> new_child2;
Rectangle bounding_box1;
Rectangle bounding_box2;
if(tree_node->is_leaf){
vector<Rectangle*> recs(tree_node->entry_num);
//cout<<"in the original node: ";
for (int i = 0; i < tree_node->entry_num; i++) {
int obj_id = tree_node->children[i];
//cout<<obj_id<<" ";
recs[i] = objects_[obj_id];
}
//cout<<endl;
switch(dim){
case 0:{
sort(recs.begin(), recs.end(), SortedByLeft);
break;
}
case 1:{
sort(recs.begin(), recs.end(), SortedByBottom);
break;
}
}
//cout<<"after sorting: ";
//for(int i=0; i<recs.size(); i++){
// cout<<recs[i]->id_<<" ";
//}
//cout<<endl;
new_child1.resize(loc + 1);
new_child2.resize(TreeNode::maximum_entry - loc);
for (int i = 0; i < loc + 1; i++) {
new_child1[i] = recs[i]->id_;
}
for (int i = loc + 1; i < recs.size(); i++){
new_child2[i - loc - 1] = recs[i]->id_;
}
//cout<<"child 1: "<<endl;
//for(int i=0; i<new_child1.size(); i++){
// cout<<new_child1[i]<<" ";
//}
//cout<<endl;;
//cout<<"child 2: "<<endl;
//for(int i=0; i<new_child2.size(); i++){
// cout<<new_child2[i]<<" ";
//}
//cout<<endl;
//getchar();
bounding_box1.Set(*recs[0]);
for (int i = 1; i < loc + 1; i++) {
bounding_box1.Include(*recs[i]);
}
bounding_box2.Set(*recs[loc + 1]);
for (int i = loc + 2; i < recs.size(); i++) {
bounding_box2.Include(*recs[i]);
}
}
else{
vector<TreeNode*> nodes(tree_node->entry_num);
for (int i = 0; i < tree_node->entry_num; i++) {
int node_id = tree_node->children[i];
nodes[i] = tree_nodes_[node_id];
}
switch(dim){
case 0:{
sort(nodes.begin(), nodes.end(), SortedByLeft);
break;
}
case 1:{
sort(nodes.begin(), nodes.end(), SortedByBottom);
break;
}
}
new_child1.resize(loc + 1);
new_child2.resize(TreeNode::maximum_entry - loc);
for (int i = 0; i < loc + 1; i++) {
new_child1[i] = nodes[i]->id_;
}
for (int i = loc + 1; i < nodes.size(); i++){
new_child2[i - loc - 1] = nodes[i]->id_;
}
bounding_box1.Set(*nodes[0]);
for (int i = 1; i < loc + 1; i++) {
bounding_box1.Include(*nodes[i]);
}
bounding_box2.Set(*nodes[loc + 1]);
for (int i = loc + 2; i < nodes.size(); i++) {
bounding_box2.Include(*nodes[i]);
}
}
TreeNode* sibling = CreateNode();
sibling->is_leaf = tree_node->is_leaf;
sibling->CopyChildren(new_child2);
if (!sibling->is_leaf) {
for (int i = 0; i < new_child2.size(); i++) {
tree_nodes_[new_child2[i]]->father = sibling->id_;
}
}
sibling->Set(bounding_box2);
sibling->origin_center[0] = 0.5 * (sibling->Left() + sibling->Right());
sibling->origin_center[1] = 0.5 * (sibling->Top() + sibling->Bottom());
tree_node->CopyChildren(new_child1);
if (!tree_node->is_leaf) {
for (int i = 0; i < new_child1.size(); i++) {
tree_nodes_[new_child1[i]]->father = tree_node->id_;
}
}
tree_node->Set(bounding_box1);
tree_node->origin_center[0] = 0.5 * (tree_node->Left() + tree_node->Right());
tree_node->origin_center[1] = 0.5 * (tree_node->Bottom() + tree_node->Top());
if (tree_node->father >= 0) {
tree_nodes_[tree_node->father]->AddChildren(sibling);
tree_nodes_[tree_node->father]->Include(bounding_box2);
sibling->father = tree_node->father;
}
else {
TreeNode* new_root = CreateNode();
new_root->is_leaf = false;
new_root->AddChildren(tree_node);
new_root->AddChildren(sibling);
new_root->Set(bounding_box1);
new_root->Include(bounding_box2);
new_root->origin_center[0] = 0.5 * (new_root->Left() + new_root->Right());
new_root->origin_center[1] = 0.5 * (new_root->Bottom() + new_root->Top());
root_ = new_root->id_;
tree_node->father = new_root->id_;
sibling->father = new_root->id_;
height_ += 1;
}
next_node = tree_nodes_[tree_node->father];
return next_node;
}
TreeNode* RTree::SplitWithCandidateAction(TreeNode* tree_node, int loc){
TreeNode* next_node = nullptr;
int dim = split_locations[candidate_split_action[loc]].dimension;
int split_loc = split_locations[candidate_split_action[loc]].location;
next_node = SplitInLoc(tree_node, split_loc, dim);
return next_node;
}
TreeNode* RTree::SplitInLoc(TreeNode* tree_node, int loc) {
TreeNode* next_node = nullptr;
int size_per_dim = TreeNode::maximum_entry - 2 * TreeNode::minimum_entry + 2;
int dimension = loc / size_per_dim;
int idx = loc % size_per_dim + TreeNode::minimum_entry - 1;
vector<int> new_child1;
vector<int> new_child2;
Rectangle bounding_box1;
Rectangle bounding_box2;
if (tree_node->is_leaf) {
vector<Rectangle*> recs(tree_node->entry_num);
for (int i = 0; i < tree_node->entry_num; i++) {
int obj_id = tree_node->children[i];
recs[i] = objects_[obj_id];
}
switch (dimension)
{
case 0: {
sort(recs.begin(), recs.end(), SortedByLeft);
break;
}
case 1: {
sort(recs.begin(), recs.end(), SortedByRight);
break;
}
case 2: {
sort(recs.begin(), recs.end(), SortedByBottom);
break;