AVLCommands.cpp 12 KB

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  1. // balance and height functions based on code from
  2. // http://www.sanfoundry.com/cpp-program-implement-avl-trees/
  3. // Finding elements based on code from
  4. // http://www.cplusplus.com/forum/beginner/54835/
  5. #include <cassert>
  6. #include <iostream>
  7. #include <string>
  8. #include <queue>
  9. #include "json.hpp"
  10. #include "AVLCommands.h"
  11. BSTNode::BSTNode(int key) :
  12. key_(key),
  13. parent_(std::weak_ptr<BSTNode>()),
  14. left_(nullptr),
  15. right_(nullptr),
  16. height_(0),
  17. balance_(0) {} // add a height_
  18. BSTNode::BSTNode(int key, std::weak_ptr<BSTNode> parent) :
  19. key_(key),
  20. parent_(parent),
  21. left_(nullptr),
  22. right_(nullptr),
  23. height_(0),
  24. balance_(0) {}
  25. bool BSTNode::IsLeaf() const {
  26. return left_ == nullptr && right_ == nullptr;
  27. }
  28. bool BSTNode::HasLeftChild() const {
  29. return left_ != nullptr;
  30. }
  31. bool BSTNode::HasRightChild() const {
  32. return right_ != nullptr;
  33. }
  34. void BSTNode::DeleteChild(std::shared_ptr<BSTNode> v) {
  35. if (left_ == v) {
  36. left_ = nullptr;
  37. } else if (right_ == v) {
  38. right_ = nullptr;
  39. } else {
  40. std::cerr << "BSTNode::DeleteChild Error: non-child passed as argument\n";
  41. exit(EXIT_FAILURE);
  42. }
  43. }
  44. void BSTNode::ReplaceChild(std::shared_ptr<BSTNode> v, std::shared_ptr<BSTNode> u) {
  45. if (left_ == u || right_ == u) {
  46. std::cerr << "BSTNode::ReplaceChild Error: child passed as replacement\n";
  47. }
  48. if (left_ == v) {
  49. left_ = u;
  50. u->parent_ = v->parent_;
  51. } else if (right_ == v) {
  52. right_ = u;
  53. u->parent_ = v->parent_;
  54. } else {
  55. std::cerr << "BSTNode::ReplaceChild Error: non-child passed as argument\n";
  56. exit(EXIT_FAILURE);
  57. }
  58. }
  59. AVLCommands::AVLCommands() : root_(nullptr), size_(0) {} // add height here?
  60. int AVLCommands::max(int a, int b) {
  61. return (a > b)? a : b;
  62. }
  63. int AVLCommands::height(std::shared_ptr<BSTNode> currentNode) {
  64. //std::cout << "Updating the height..." << std::endl;
  65. //std::cout << "height: " << currentNode->height_ << std::endl;
  66. if (root_ == nullptr) {
  67. return 0;
  68. }
  69. int leftHeight, rightHeight, heightMax;
  70. if (currentNode != nullptr) {
  71. if (currentNode->left_ != nullptr) {
  72. leftHeight = height(currentNode->left_);
  73. } else {
  74. leftHeight = -1;
  75. }
  76. if (currentNode->right_ != nullptr) {
  77. rightHeight = height(currentNode->right_);
  78. } else {
  79. rightHeight = -1;
  80. }
  81. heightMax = 1 + max(leftHeight, rightHeight);
  82. currentNode->height_ = heightMax;
  83. // update balance for each node
  84. currentNode->balance_ = leftHeight - rightHeight;
  85. }
  86. return currentNode->height_;
  87. }
  88. void AVLCommands::balance(std::shared_ptr<BSTNode> currentNode) {
  89. if (currentNode == nullptr) {
  90. return;
  91. }
  92. std::shared_ptr<BSTNode> parent = currentNode->parent_.lock();
  93. if (parent != nullptr) {
  94. //std::cout << "parent node key: " << parent->key_ << std::endl;
  95. std::cout << "balanceFactor at balance: " << parent->balance_ <<std::endl;
  96. //std::cout << "Rotation to be preformed:" << std::endl;
  97. if (parent->balance_ > 1) {
  98. if (parent->key_ < parent->left_->key_) {
  99. std::cout << "Left-Left" << std::endl;
  100. rightRotate(parent);
  101. return;
  102. } else if (parent->key_ > parent->left_->key_) {
  103. std::cout << "Left-Right" << std::endl;
  104. parent->left_ = leftRotate(parent->left_);
  105. rightRotate(parent);
  106. return;
  107. }
  108. } else if (parent->balance_ < -1) {
  109. if (parent->key_ < parent->right_->key_) {
  110. std::cout << "Right-Right" << std::endl;
  111. std::cout << "Current Node key input: " << parent->key_ << std::endl;
  112. leftRotate(parent);
  113. return;
  114. } else if (parent->key_ > parent->right_->key_) {
  115. std::cout << "Right-Left" << std::endl;
  116. parent->right_ = rightRotate(parent->right_);
  117. leftRotate(parent);
  118. return;
  119. }
  120. }
  121. balance(parent);
  122. }
  123. return;
  124. }
  125. std::shared_ptr<BSTNode> AVLCommands::rightRotate(std::shared_ptr<BSTNode> currentNode){
  126. printTree();
  127. if (currentNode == nullptr) {
  128. std::cout << "Can't rotate on an empty node!" << std::endl;
  129. return currentNode;
  130. }
  131. std::cout << "First, Right Rotate!" << std::endl;
  132. std::cout << "Top: " << currentNode->key_;
  133. std::cout << ", Middle: " << currentNode->left_->key_;
  134. std::cout << ", Last: " << currentNode->left_->right_->key_ << std::endl;
  135. std::shared_ptr<BSTNode> x = currentNode->left_;
  136. std::cout << "Does the current node have a left node?" << std::endl;
  137. std::shared_ptr<BSTNode> T2 = x->right_;
  138. std::cout << "Does the current node's left node have a right node?" << std::endl;
  139. // Perform rotation
  140. x->right_ = currentNode;
  141. currentNode->left_ = T2;
  142. // Update heights
  143. currentNode->height_ = max(height(currentNode->left_), height(currentNode->right_))+1;
  144. x->height_ = max(height(x->left_), height(x->right_))+1;
  145. // Return new root
  146. return x;
  147. }
  148. // Takes the root of the tree to be left rotated and rotates it to provide new root
  149. std::shared_ptr<BSTNode> AVLCommands::leftRotate(std::shared_ptr<BSTNode> currentNode){
  150. if (currentNode == nullptr) {
  151. std::cout << "Can't rotate on an empty node!" << std::endl;
  152. return currentNode;
  153. }
  154. std::cout << "Left Rotate at node " << currentNode->key_ << std::endl;
  155. std::shared_ptr<BSTNode> y = currentNode->right_;
  156. currentNode->right_ = y->left_;
  157. y->left_ = currentNode;
  158. std::shared_ptr<BSTNode> parentSubroot = currentNode->parent_.lock();
  159. std::cout << "New subtree root: " << y->key_ << std::endl;
  160. //std::cout << "New left: " << y->left_->key_ << std::endl;
  161. //std::cout << "New right: " << y->right_->key_ << std::endl;
  162. if (parentSubroot == nullptr) {
  163. root_ = y;
  164. y->parent_.reset();
  165. } else {
  166. parentSubroot->right_ = y;
  167. }
  168. currentNode = y;
  169. std::cout << "hello" << std::endl;
  170. // Update heights
  171. //currentNode->height_ = max(height(currentNode->left_), height(currentNode->right_))+1;
  172. //y->height_ = max(height(y->left_), height(y->right_))+1;
  173. height(root_);
  174. // Return new root
  175. return y;
  176. }
  177. void AVLCommands::printTree(){
  178. printTree(root_);
  179. }
  180. void AVLCommands::printTree(std::shared_ptr<BSTNode> currentNode){
  181. if (root_ == nullptr) {
  182. std::cout << "tree is empty" << std::endl;
  183. return;
  184. } else {
  185. std::cout << "key: " << currentNode->key_ << std::endl;
  186. std::cout << "height: " << currentNode->height_ << std::endl;
  187. std::cout << "balance: " << currentNode->balance_ << std::endl;
  188. if (currentNode->parent_.lock() != nullptr) {
  189. std::cout << "parent: " << currentNode->parent_.lock()->key_ << std::endl;
  190. }
  191. if (currentNode->left_ != nullptr) {
  192. std::cout << "left" << std::endl;
  193. printTree(currentNode->left_);
  194. }
  195. if (currentNode->right_ != nullptr) {
  196. std::cout << "right" << std::endl;
  197. printTree(currentNode->right_);
  198. }
  199. }
  200. }
  201. void AVLCommands::Insert(int key) {
  202. std::cout << "Inserting new key: " << key << std::endl;
  203. // BST insertion
  204. if (root_ == nullptr) {
  205. root_ = std::make_shared<BSTNode>(key);
  206. size_++;
  207. return;
  208. }
  209. std::shared_ptr<BSTNode> currentNode = root_, lastNode = nullptr;
  210. while (currentNode != nullptr) {
  211. lastNode = currentNode;
  212. currentNode = (key < currentNode->key_) ?
  213. currentNode->left_ : currentNode->right_;
  214. }
  215. if (key < lastNode->key_) {
  216. lastNode->left_ = std::make_shared<BSTNode>(key, lastNode);
  217. } else {
  218. lastNode->right_ = std::make_shared<BSTNode>(key, lastNode);
  219. }
  220. size_++;
  221. // update height and balance of the tree
  222. height(root_);
  223. balance(lastNode);
  224. /*
  225. // Check if unbalanced
  226. // Left Left Case
  227. if (lastNode->balance_ > 1 && key < lastNode->left_->key_) {
  228. std::cout << "Left-Left" << std::endl;
  229. rightRotate(lastNode);
  230. }
  231. // Right Right Case
  232. if (lastNode->balance_ < -1 && key > lastNode->right_->key_) {
  233. std::cout << "Right-Right" << std::endl;
  234. leftRotate(lastNode);
  235. }
  236. // Left Right Case
  237. if (lastNode->balance_ > 1 && key > lastNode->left_->key_) {
  238. std::cout << "Left-Right" << std::endl;
  239. lastNode->left_ = leftRotate(lastNode->left_);
  240. rightRotate(lastNode);
  241. }
  242. // Right Left Case
  243. if (lastNode->balance_ < -1 && key < lastNode->right_->key_) {
  244. std::cout << "Right-Left" << std::endl;
  245. lastNode->right_ = rightRotate(lastNode->right_);
  246. leftRotate(lastNode);
  247. }
  248. */
  249. }
  250. bool AVLCommands::Delete(int key) {
  251. // base BST delete
  252. std::shared_ptr<BSTNode> currentNode = root_;
  253. while (currentNode != nullptr) {
  254. if (currentNode->key_ == key) {
  255. if (currentNode->IsLeaf()) {
  256. DeleteLeaf(currentNode);
  257. } else if (currentNode->left_ == nullptr) {
  258. assert(currentNode->right_ != nullptr);
  259. std::shared_ptr<BSTNode> parent = currentNode->parent_.lock();
  260. parent->ReplaceChild(currentNode, currentNode->right_);
  261. size_--; assert(size_ >= 0);
  262. } else if (currentNode->right_ == nullptr) {
  263. assert(currentNode->left_ != nullptr);
  264. std::shared_ptr<BSTNode> parent = currentNode->parent_.lock();
  265. parent->ReplaceChild(currentNode, currentNode->left_);
  266. size_--; assert(size_ >= 0);
  267. } else {
  268. currentNode->key_ = DeleteMin(currentNode);
  269. }
  270. }
  271. currentNode = (key < currentNode->key_) ?
  272. currentNode->left_ : currentNode->right_;
  273. }
  274. std::cout << "current node value: " << currentNode->key_ << std::endl;
  275. // update height of current node
  276. std::cout << "delete height update attempt..." << std::endl;
  277. currentNode->height_ = 1 + max(height(currentNode->left_), height(currentNode->right_));
  278. std::cout << "New height: " << currentNode->height_ << std::endl;
  279. std::cout << "delete height update attempt success" << std::endl;
  280. // Update balance factor of this ancestor's node
  281. /*
  282. // Check if unbalanced
  283. // Left Left Case
  284. if (currentNodeBalance > 1 && getBalance(currentNode->left_) >= 0)
  285. rightRotate(currentNode);
  286. // Right Right Case
  287. if (currentNodeBalance < -1 && getBalance(currentNode->right_) <= 0)
  288. leftRotate(currentNode);
  289. // Left Right Case
  290. if (currentNodeBalance > 1 && getBalance(currentNode->left_) < 0) {
  291. currentNode->left_ = leftRotate(currentNode->left_);
  292. rightRotate(currentNode);
  293. }
  294. // Right Left Case
  295. if (currentNodeBalance < -1 && getBalance(currentNode->right_) > 0) {
  296. currentNode->right_ = rightRotate(currentNode->right_);
  297. leftRotate(currentNode);
  298. }
  299. */
  300. return false;
  301. }
  302. int AVLCommands::DeleteMin() {
  303. return DeleteMin(root_);
  304. }
  305. void AVLCommands::DeleteLeaf(std::shared_ptr<BSTNode> currentNode) {
  306. std::shared_ptr<BSTNode> parent = currentNode->parent_.lock();
  307. if (parent == nullptr) {
  308. // Delete root
  309. root_ = nullptr;
  310. size_--; assert(size_ == 0);
  311. } else {
  312. if (parent->right_ == currentNode) {
  313. parent->right_ = nullptr;
  314. } else if (parent->left_ == currentNode) {
  315. parent->left_ = nullptr;
  316. } else {
  317. std::cerr << "BST::DeleteLeaf Error: inconsistent state\n";
  318. }
  319. size_--; assert(size_ >= 0);
  320. }
  321. }
  322. int AVLCommands::DeleteMin(std::shared_ptr<BSTNode> currentNode) {
  323. std::shared_ptr<BSTNode> lastNode = nullptr;
  324. while (currentNode != nullptr) {
  325. lastNode = currentNode;
  326. currentNode = currentNode->left_;
  327. }
  328. int result = lastNode->key_;
  329. std::shared_ptr<BSTNode> parent = lastNode->parent_.lock();
  330. if (parent == nullptr) {
  331. // lastNode is root
  332. if (lastNode->right_ != nullptr) {
  333. root_ = lastNode->right_;
  334. lastNode->right_->parent_.reset();
  335. } else {
  336. root_ = nullptr;
  337. }
  338. } else {
  339. // lastNode under the root
  340. if (lastNode->right_ != nullptr) {
  341. parent->left_ = lastNode->right_;
  342. lastNode->right_->parent_ = parent;
  343. } else {
  344. parent->left_ = nullptr;
  345. }
  346. }
  347. size_--; assert(size_ >= 0);
  348. return result;
  349. }
  350. size_t AVLCommands::size() const {
  351. return size_;
  352. }
  353. bool AVLCommands::empty() const {
  354. return size_ == 0;
  355. }
  356. bool AVLCommands::Find(int key) const {
  357. std::shared_ptr<BSTNode> currentNode = root_;
  358. while (currentNode != nullptr) {
  359. if (currentNode->key_ == key) {
  360. return true;
  361. }
  362. currentNode = (key < currentNode->key_) ?
  363. currentNode->left_ : currentNode->right_;
  364. }
  365. return false;
  366. }
  367. std::string AVLCommands::JSON() const {
  368. nlohmann::json result;
  369. std::queue< std::shared_ptr<BSTNode> > nodes;
  370. if (root_ != nullptr) {
  371. result["root"] = root_->key_;
  372. nodes.push(root_);
  373. while (!nodes.empty()) {
  374. auto v = nodes.front();
  375. nodes.pop();
  376. std::string key = std::to_string(v->key_);
  377. //std::string height = std::to_string(v->height_);
  378. //result[key]["height"] = height;
  379. result[key]["left"] = v->left_->key_;
  380. if (v->left_ != nullptr) {
  381. result[key]["left"] = v->left_->key_;
  382. nodes.push(v->left_);
  383. }
  384. if (v->right_ != nullptr) {
  385. result[key]["right"] = v->right_->key_;
  386. nodes.push(v->right_);
  387. }
  388. if (v->parent_.lock() != nullptr) {
  389. result[key]["parent"] = v->parent_.lock()->key_;
  390. } else {
  391. result[key]["root"] = true;
  392. }
  393. }
  394. }
  395. result["size"] = size_;
  396. return result.dump(2) + "\n";
  397. }