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> y = currentNode->right_;
  157. currentNode->right_ = y->left_;
  158. y->left_ = currentNode;
  159. std::shared_ptr<BSTNode> parentSubroot = currentNode->parent_.lock();
  160. std::cout << "New subtree root: " << y->key_ << std::endl;
  161. //std::cout << "New left: " << y->left_->key_ << std::endl;
  162. //std::cout << "New right: " << y->right_->key_ << std::endl;
  163. if (parentSubroot == nullptr) {
  164. root_ = y;
  165. y->parent_.reset();
  166. } else {
  167. parentSubroot->right_ = y;
  168. }
  169. currentNode = y;
  170. std::cout << "hello" << std::endl;
  171. // Update heights
  172. height(root_);
  173. // Return new root
  174. return y;
  175. }
  176. void AVLCommands::printTree(){
  177. printTree(root_);
  178. }
  179. void AVLCommands::printTree(std::shared_ptr<BSTNode> currentNode){
  180. if (root_ == nullptr) {
  181. std::cout << "tree is empty" << std::endl;
  182. return;
  183. } else {
  184. std::cout << "key: " << currentNode->key_ << std::endl;
  185. std::cout << "height: " << currentNode->height_ << std::endl;
  186. std::cout << "balance: " << currentNode->balance_ << std::endl;
  187. if (currentNode->parent_.lock() != nullptr) {
  188. std::cout << "parent: " << currentNode->parent_.lock()->key_ << std::endl;
  189. }
  190. if (currentNode->left_ != nullptr) {
  191. std::cout << "left" << std::endl;
  192. printTree(currentNode->left_);
  193. }
  194. if (currentNode->right_ != nullptr) {
  195. std::cout << "right" << std::endl;
  196. printTree(currentNode->right_);
  197. }
  198. }
  199. }
  200. void AVLCommands::Insert(int key) {
  201. std::cout << "Inserting new key: " << key << std::endl;
  202. // BST insertion
  203. if (root_ == nullptr) {
  204. root_ = std::make_shared<BSTNode>(key);
  205. size_++;
  206. return;
  207. }
  208. std::shared_ptr<BSTNode> currentNode = root_, lastNode = nullptr;
  209. while (currentNode != nullptr) {
  210. lastNode = currentNode;
  211. currentNode = (key < currentNode->key_) ?
  212. currentNode->left_ : currentNode->right_;
  213. }
  214. if (key < lastNode->key_) {
  215. lastNode->left_ = std::make_shared<BSTNode>(key, lastNode);
  216. } else {
  217. lastNode->right_ = std::make_shared<BSTNode>(key, lastNode);
  218. }
  219. size_++;
  220. // update height and balance of the tree
  221. height(root_);
  222. balance(lastNode);
  223. /*
  224. // Check if unbalanced
  225. // Left Left Case
  226. if (lastNode->balance_ > 1 && key < lastNode->left_->key_) {
  227. std::cout << "Left-Left" << std::endl;
  228. rightRotate(lastNode);
  229. }
  230. // Right Right Case
  231. if (lastNode->balance_ < -1 && key > lastNode->right_->key_) {
  232. std::cout << "Right-Right" << std::endl;
  233. leftRotate(lastNode);
  234. }
  235. // Left Right Case
  236. if (lastNode->balance_ > 1 && key > lastNode->left_->key_) {
  237. std::cout << "Left-Right" << std::endl;
  238. lastNode->left_ = leftRotate(lastNode->left_);
  239. rightRotate(lastNode);
  240. }
  241. // Right Left Case
  242. if (lastNode->balance_ < -1 && key < lastNode->right_->key_) {
  243. std::cout << "Right-Left" << std::endl;
  244. lastNode->right_ = rightRotate(lastNode->right_);
  245. leftRotate(lastNode);
  246. }
  247. */
  248. }
  249. bool AVLCommands::Delete(int key) {
  250. // base BST delete
  251. std::shared_ptr<BSTNode> currentNode = root_;
  252. while (currentNode != nullptr) {
  253. if (currentNode->key_ == key) {
  254. if (currentNode->IsLeaf()) {
  255. DeleteLeaf(currentNode);
  256. } else if (currentNode->left_ == nullptr) {
  257. assert(currentNode->right_ != nullptr);
  258. std::shared_ptr<BSTNode> parent = currentNode->parent_.lock();
  259. parent->ReplaceChild(currentNode, currentNode->right_);
  260. size_--; assert(size_ >= 0);
  261. } else if (currentNode->right_ == nullptr) {
  262. assert(currentNode->left_ != nullptr);
  263. std::shared_ptr<BSTNode> parent = currentNode->parent_.lock();
  264. parent->ReplaceChild(currentNode, currentNode->left_);
  265. size_--; assert(size_ >= 0);
  266. } else {
  267. currentNode->key_ = DeleteMin(currentNode);
  268. }
  269. }
  270. currentNode = (key < currentNode->key_) ?
  271. currentNode->left_ : currentNode->right_;
  272. }
  273. std::cout << "current node value: " << currentNode->key_ << std::endl;
  274. // update height of current node
  275. std::cout << "delete height update attempt..." << std::endl;
  276. currentNode->height_ = 1 + max(height(currentNode->left_), height(currentNode->right_));
  277. std::cout << "New height: " << currentNode->height_ << std::endl;
  278. std::cout << "delete height update attempt success" << std::endl;
  279. // Update balance factor of this ancestor's node
  280. /*
  281. // Check if unbalanced
  282. // Left Left Case
  283. if (currentNodeBalance > 1 && getBalance(currentNode->left_) >= 0)
  284. rightRotate(currentNode);
  285. // Right Right Case
  286. if (currentNodeBalance < -1 && getBalance(currentNode->right_) <= 0)
  287. leftRotate(currentNode);
  288. // Left Right Case
  289. if (currentNodeBalance > 1 && getBalance(currentNode->left_) < 0) {
  290. currentNode->left_ = leftRotate(currentNode->left_);
  291. rightRotate(currentNode);
  292. }
  293. // Right Left Case
  294. if (currentNodeBalance < -1 && getBalance(currentNode->right_) > 0) {
  295. currentNode->right_ = rightRotate(currentNode->right_);
  296. leftRotate(currentNode);
  297. }
  298. */
  299. return false;
  300. }
  301. int AVLCommands::DeleteMin() {
  302. return DeleteMin(root_);
  303. }
  304. void AVLCommands::DeleteLeaf(std::shared_ptr<BSTNode> currentNode) {
  305. std::shared_ptr<BSTNode> parent = currentNode->parent_.lock();
  306. if (parent == nullptr) {
  307. // Delete root
  308. root_ = nullptr;
  309. size_--; assert(size_ == 0);
  310. } else {
  311. if (parent->right_ == currentNode) {
  312. parent->right_ = nullptr;
  313. } else if (parent->left_ == currentNode) {
  314. parent->left_ = nullptr;
  315. } else {
  316. std::cerr << "BST::DeleteLeaf Error: inconsistent state\n";
  317. }
  318. size_--; assert(size_ >= 0);
  319. }
  320. }
  321. int AVLCommands::DeleteMin(std::shared_ptr<BSTNode> currentNode) {
  322. std::shared_ptr<BSTNode> lastNode = nullptr;
  323. while (currentNode != nullptr) {
  324. lastNode = currentNode;
  325. currentNode = currentNode->left_;
  326. }
  327. int result = lastNode->key_;
  328. std::shared_ptr<BSTNode> parent = lastNode->parent_.lock();
  329. if (parent == nullptr) {
  330. // lastNode is root
  331. if (lastNode->right_ != nullptr) {
  332. root_ = lastNode->right_;
  333. lastNode->right_->parent_.reset();
  334. } else {
  335. root_ = nullptr;
  336. }
  337. } else {
  338. // lastNode under the root
  339. if (lastNode->right_ != nullptr) {
  340. parent->left_ = lastNode->right_;
  341. lastNode->right_->parent_ = parent;
  342. } else {
  343. parent->left_ = nullptr;
  344. }
  345. }
  346. size_--; assert(size_ >= 0);
  347. return result;
  348. }
  349. size_t AVLCommands::size() const {
  350. return size_;
  351. }
  352. bool AVLCommands::empty() const {
  353. return size_ == 0;
  354. }
  355. bool AVLCommands::Find(int key) const {
  356. std::shared_ptr<BSTNode> currentNode = root_;
  357. while (currentNode != nullptr) {
  358. if (currentNode->key_ == key) {
  359. return true;
  360. }
  361. currentNode = (key < currentNode->key_) ?
  362. currentNode->left_ : currentNode->right_;
  363. }
  364. return false;
  365. }
  366. std::string AVLCommands::JSON() const {
  367. nlohmann::json result;
  368. std::queue< std::shared_ptr<BSTNode> > nodes;
  369. if (root_ != nullptr) {
  370. result["root"] = root_->key_;
  371. nodes.push(root_);
  372. while (!nodes.empty()) {
  373. auto v = nodes.front();
  374. nodes.pop();
  375. std::string key = std::to_string(v->key_);
  376. //std::string height = std::to_string(v->height_);
  377. //result[key]["height"] = height;
  378. result[key]["left"] = v->left_->key_;
  379. if (v->left_ != nullptr) {
  380. result[key]["left"] = v->left_->key_;
  381. nodes.push(v->left_);
  382. }
  383. if (v->right_ != nullptr) {
  384. result[key]["right"] = v->right_->key_;
  385. nodes.push(v->right_);
  386. }
  387. if (v->parent_.lock() != nullptr) {
  388. result[key]["parent"] = v->parent_.lock()->key_;
  389. } else {
  390. result[key]["root"] = true;
  391. }
  392. }
  393. }
  394. result["size"] = size_;
  395. return result.dump(2) + "\n";
  396. }