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 << "Right Rotate at node " << currentNode->key_ << std::endl;
  132. std::shared_ptr<BSTNode> x = currentNode->left_;
  133. currentNode->left_ = x->right_;
  134. x->right_ = currentNode;
  135. std::shared_ptr<BSTNode> parentSubroot = currentNode->parent_.lock();
  136. if (parentSubroot == nullptr) {
  137. root_ = x;
  138. x->parent_.reset();
  139. } else {
  140. parentSubroot->left_ = x;
  141. }
  142. currentNode = x;
  143. std::cout << "hello" << std::endl;
  144. // Update heights
  145. height(root_);
  146. // Return new root
  147. return x;
  148. }
  149. // Takes the root of the tree to be left rotated and rotates it to provide new root
  150. std::shared_ptr<BSTNode> AVLCommands::leftRotate(std::shared_ptr<BSTNode> currentNode){
  151. if (currentNode == nullptr) {
  152. std::cout << "Can't rotate on an empty node!" << std::endl;
  153. return currentNode;
  154. }
  155. std::cout << "Left Rotate at node " << currentNode->key_ << std::endl;
  156. std::shared_ptr<BSTNode> newSubRoot = currentNode->right_;
  157. currentNode->right_ = newSubRoot->left_;
  158. if (newSubRoot->left_ != nullptr) {
  159. newSubRoot->left_->parent_ = currentNode;
  160. }
  161. newSubRoot->left_ = currentNode;
  162. std::shared_ptr<BSTNode> oldParent = currentNode->parent_.lock();
  163. currentNode->parent_ = newSubRoot;
  164. std::cout << "New subtree root: " << newSubRoot->key_ << std::endl;
  165. //std::cout << "New left: " << y->left_->key_ << std::endl;
  166. //std::cout << "New right: " << y->right_->key_ << std::endl;
  167. if (oldParent == nullptr) {
  168. root_ = newSubRoot;
  169. newSubRoot->parent_.reset();
  170. } else {
  171. if (oldParent->right_== currentNode) {
  172. oldParent->right_ = newSubRoot;
  173. }else{
  174. oldParent->left_ = newSubRoot;
  175. }
  176. newSubRoot->parent_ = oldParent;
  177. }
  178. std::cout << "hello" << std::endl;
  179. // Update heights
  180. //printTree();
  181. height(root_);
  182. // Return new root
  183. return newSubRoot;
  184. }
  185. void AVLCommands::printTree(){
  186. printTree(root_);
  187. }
  188. void AVLCommands::printTree(std::shared_ptr<BSTNode> currentNode){
  189. if (root_ == nullptr) {
  190. std::cout << "tree is empty" << std::endl;
  191. return;
  192. } else {
  193. std::cout << "key: " << currentNode->key_ << std::endl;
  194. std::cout << "height: " << currentNode->height_ << std::endl;
  195. std::cout << "balance: " << currentNode->balance_ << std::endl;
  196. if (currentNode->parent_.lock() != nullptr) {
  197. std::cout << "parent: " << currentNode->parent_.lock()->key_ << std::endl;
  198. }
  199. if (currentNode->left_ != nullptr) {
  200. std::cout << "left" << std::endl;
  201. printTree(currentNode->left_);
  202. }
  203. if (currentNode->right_ != nullptr) {
  204. std::cout << "right" << std::endl;
  205. printTree(currentNode->right_);
  206. }
  207. }
  208. }
  209. void AVLCommands::Insert(int key) {
  210. std::cout << "Inserting new key: " << key << std::endl;
  211. // BST insertion
  212. if (root_ == nullptr) {
  213. root_ = std::make_shared<BSTNode>(key);
  214. size_++;
  215. return;
  216. }
  217. std::shared_ptr<BSTNode> currentNode = root_, lastNode = nullptr;
  218. while (currentNode != nullptr) {
  219. lastNode = currentNode;
  220. currentNode = (key < currentNode->key_) ?
  221. currentNode->left_ : currentNode->right_;
  222. }
  223. if (key < lastNode->key_) {
  224. lastNode->left_ = std::make_shared<BSTNode>(key, lastNode);
  225. } else {
  226. lastNode->right_ = std::make_shared<BSTNode>(key, lastNode);
  227. }
  228. size_++;
  229. // update height and balance of the tree
  230. height(root_);
  231. balance(lastNode);
  232. /*
  233. // Check if unbalanced
  234. // Left Left Case
  235. if (lastNode->balance_ > 1 && key < lastNode->left_->key_) {
  236. std::cout << "Left-Left" << std::endl;
  237. rightRotate(lastNode);
  238. }
  239. // Right Right Case
  240. if (lastNode->balance_ < -1 && key > lastNode->right_->key_) {
  241. std::cout << "Right-Right" << std::endl;
  242. leftRotate(lastNode);
  243. }
  244. // Left Right Case
  245. if (lastNode->balance_ > 1 && key > lastNode->left_->key_) {
  246. std::cout << "Left-Right" << std::endl;
  247. lastNode->left_ = leftRotate(lastNode->left_);
  248. rightRotate(lastNode);
  249. }
  250. // Right Left Case
  251. if (lastNode->balance_ < -1 && key < lastNode->right_->key_) {
  252. std::cout << "Right-Left" << std::endl;
  253. lastNode->right_ = rightRotate(lastNode->right_);
  254. leftRotate(lastNode);
  255. }
  256. */
  257. }
  258. bool AVLCommands::Delete(int key) {
  259. // base BST delete
  260. std::shared_ptr<BSTNode> currentNode = root_;
  261. while (currentNode != nullptr) {
  262. if (currentNode->key_ == key) {
  263. if (currentNode->IsLeaf()) {
  264. DeleteLeaf(currentNode);
  265. } else if (currentNode->left_ == nullptr) {
  266. assert(currentNode->right_ != nullptr);
  267. std::shared_ptr<BSTNode> parent = currentNode->parent_.lock();
  268. parent->ReplaceChild(currentNode, currentNode->right_);
  269. size_--; assert(size_ >= 0);
  270. } else if (currentNode->right_ == nullptr) {
  271. assert(currentNode->left_ != nullptr);
  272. std::shared_ptr<BSTNode> parent = currentNode->parent_.lock();
  273. parent->ReplaceChild(currentNode, currentNode->left_);
  274. size_--; assert(size_ >= 0);
  275. } else {
  276. currentNode->key_ = DeleteMin(currentNode);
  277. }
  278. }
  279. currentNode = (key < currentNode->key_) ?
  280. currentNode->left_ : currentNode->right_;
  281. }
  282. std::cout << "current node value: " << currentNode->key_ << std::endl;
  283. // update height of current node
  284. std::cout << "delete height update attempt..." << std::endl;
  285. currentNode->height_ = 1 + max(height(currentNode->left_), height(currentNode->right_));
  286. std::cout << "New height: " << currentNode->height_ << std::endl;
  287. std::cout << "delete height update attempt success" << std::endl;
  288. // Update balance factor of this ancestor's node
  289. /*
  290. // Check if unbalanced
  291. // Left Left Case
  292. if (currentNodeBalance > 1 && getBalance(currentNode->left_) >= 0)
  293. rightRotate(currentNode);
  294. // Right Right Case
  295. if (currentNodeBalance < -1 && getBalance(currentNode->right_) <= 0)
  296. leftRotate(currentNode);
  297. // Left Right Case
  298. if (currentNodeBalance > 1 && getBalance(currentNode->left_) < 0) {
  299. currentNode->left_ = leftRotate(currentNode->left_);
  300. rightRotate(currentNode);
  301. }
  302. // Right Left Case
  303. if (currentNodeBalance < -1 && getBalance(currentNode->right_) > 0) {
  304. currentNode->right_ = rightRotate(currentNode->right_);
  305. leftRotate(currentNode);
  306. }
  307. */
  308. return false;
  309. }
  310. int AVLCommands::DeleteMin() {
  311. return DeleteMin(root_);
  312. }
  313. void AVLCommands::DeleteLeaf(std::shared_ptr<BSTNode> currentNode) {
  314. std::shared_ptr<BSTNode> parent = currentNode->parent_.lock();
  315. if (parent == nullptr) {
  316. // Delete root
  317. root_ = nullptr;
  318. size_--; assert(size_ == 0);
  319. } else {
  320. if (parent->right_ == currentNode) {
  321. parent->right_ = nullptr;
  322. } else if (parent->left_ == currentNode) {
  323. parent->left_ = nullptr;
  324. } else {
  325. std::cerr << "BST::DeleteLeaf Error: inconsistent state\n";
  326. }
  327. size_--; assert(size_ >= 0);
  328. }
  329. }
  330. int AVLCommands::DeleteMin(std::shared_ptr<BSTNode> currentNode) {
  331. std::shared_ptr<BSTNode> lastNode = nullptr;
  332. while (currentNode != nullptr) {
  333. lastNode = currentNode;
  334. currentNode = currentNode->left_;
  335. }
  336. int result = lastNode->key_;
  337. std::shared_ptr<BSTNode> parent = lastNode->parent_.lock();
  338. if (parent == nullptr) {
  339. // lastNode is root
  340. if (lastNode->right_ != nullptr) {
  341. root_ = lastNode->right_;
  342. lastNode->right_->parent_.reset();
  343. } else {
  344. root_ = nullptr;
  345. }
  346. } else {
  347. // lastNode under the root
  348. if (lastNode->right_ != nullptr) {
  349. parent->left_ = lastNode->right_;
  350. lastNode->right_->parent_ = parent;
  351. } else {
  352. parent->left_ = nullptr;
  353. }
  354. }
  355. size_--; assert(size_ >= 0);
  356. return result;
  357. }
  358. size_t AVLCommands::size() const {
  359. return size_;
  360. }
  361. bool AVLCommands::empty() const {
  362. return size_ == 0;
  363. }
  364. bool AVLCommands::Find(int key) const {
  365. std::shared_ptr<BSTNode> currentNode = root_;
  366. while (currentNode != nullptr) {
  367. if (currentNode->key_ == key) {
  368. return true;
  369. }
  370. currentNode = (key < currentNode->key_) ?
  371. currentNode->left_ : currentNode->right_;
  372. }
  373. return false;
  374. }
  375. std::string AVLCommands::JSON() const {
  376. nlohmann::json result;
  377. std::queue< std::shared_ptr<BSTNode> > nodes;
  378. if (root_ != nullptr) {
  379. result["root"] = root_->key_;
  380. nodes.push(root_);
  381. while (!nodes.empty()) {
  382. auto v = nodes.front();
  383. nodes.pop();
  384. std::string key = std::to_string(v->key_);
  385. //std::string height = std::to_string(v->height_);
  386. //result[key]["height"] = height;
  387. result[key]["left"] = v->left_->key_;
  388. if (v->left_ != nullptr) {
  389. result[key]["left"] = v->left_->key_;
  390. nodes.push(v->left_);
  391. }
  392. if (v->right_ != nullptr) {
  393. result[key]["right"] = v->right_->key_;
  394. nodes.push(v->right_);
  395. }
  396. if (v->parent_.lock() != nullptr) {
  397. result[key]["parent"] = v->parent_.lock()->key_;
  398. } else {
  399. result[key]["root"] = true;
  400. }
  401. }
  402. }
  403. result["size"] = size_;
  404. return result.dump(2) + "\n";
  405. }