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| 1 | +#ifndef BINARY_SEARCH_TREE_H |
| 2 | +#define BINARY_SEARCH_TREE_H |
| 3 | + |
| 4 | +#include <iostream> |
| 5 | +#include <stdexcept> |
| 6 | +#include <generic.h> |
| 7 | +#include <iomanip> |
| 8 | + |
| 9 | +namespace algo { |
| 10 | + template <typename Comparable> |
| 11 | + class BinarySearchTree { |
| 12 | + public: |
| 13 | + |
| 14 | + // default constructor |
| 15 | + BinarySearchTree( ) : root{ nullptr } |
| 16 | + { } |
| 17 | + |
| 18 | + // copy constructor |
| 19 | + BinarySearchTree( const BinarySearchTree & rhs ) |
| 20 | + : root { nullptr } |
| 21 | + { |
| 22 | + root = __copy( rhs.root ); |
| 23 | + } |
| 24 | + |
| 25 | + // move constructor |
| 26 | + BinarySearchTree( BinarySearchTree && rhs ) |
| 27 | + : root { rhs.root } |
| 28 | + { |
| 29 | + rhs.root = nullptr; |
| 30 | + } |
| 31 | + |
| 32 | + // copy assignment |
| 33 | + BinarySearchTree & operator= ( const BinarySearchTree & rhs ) |
| 34 | + { |
| 35 | + BinarySearchTree copy = rhs; |
| 36 | + algo::swap( *this, copy ); |
| 37 | + return *this; |
| 38 | + } |
| 39 | + |
| 40 | + // move assignment |
| 41 | + BinarySearchTree & operator= ( BinarySearchTree && rhs ) |
| 42 | + { |
| 43 | + algo::swap( root, rhs.root ); |
| 44 | + return *this; |
| 45 | + } |
| 46 | + |
| 47 | + // destructor |
| 48 | + ~BinarySearchTree( ) |
| 49 | + { |
| 50 | + clear(); |
| 51 | + } |
| 52 | + |
| 53 | + // Smallest item in Tree |
| 54 | + const Comparable & findMin() const |
| 55 | + { |
| 56 | + if ( empty() ) |
| 57 | + throw std::underflow_error("Empty Tree"); |
| 58 | + return __findMin( root )->element; |
| 59 | + } |
| 60 | + |
| 61 | + // Largest item in Tree |
| 62 | + const Comparable & findMax() const |
| 63 | + { |
| 64 | + if ( empty() ) |
| 65 | + throw std::underflow_error("Empty Tree"); |
| 66 | + return __findMax( root )->element; |
| 67 | + } |
| 68 | + |
| 69 | + // does tree contain obj |
| 70 | + bool contains( const Comparable & obj ) const |
| 71 | + { |
| 72 | + return __contains( root, obj ); |
| 73 | + } |
| 74 | + |
| 75 | + // isTreeEmpty |
| 76 | + bool empty( ) const |
| 77 | + { |
| 78 | + return ( root == nullptr ); |
| 79 | + } |
| 80 | + |
| 81 | + // print the content of tree in sorted order |
| 82 | + void printTree(std::ostream & out = std::cout) const |
| 83 | + { |
| 84 | + if ( empty( ) ) { |
| 85 | + std::cout << "Empty Tree\n"; |
| 86 | + } else { |
| 87 | + __printTree( root, out ); |
| 88 | + } |
| 89 | + } |
| 90 | + |
| 91 | + // clear the tree |
| 92 | + void clear() const |
| 93 | + { |
| 94 | + __clear( root ); |
| 95 | + } |
| 96 | + |
| 97 | + // insert element to tree, duplicates ignored |
| 98 | + void insert( const Comparable & obj ) |
| 99 | + { |
| 100 | + __insert( root, obj ); |
| 101 | + } |
| 102 | + |
| 103 | + // move insert element to tree, duplicates ignored |
| 104 | + void insert( Comparable && obj ) |
| 105 | + { |
| 106 | + __insert( root, std::move( obj ) ); |
| 107 | + } |
| 108 | + |
| 109 | + // remove element from tree |
| 110 | + void remove( const Comparable & obj ) |
| 111 | + { |
| 112 | + __remove( root, obj ); |
| 113 | + } |
| 114 | + |
| 115 | + void prettyPrintTree( ) { |
| 116 | + __prettyPrintTree(root); |
| 117 | + } |
| 118 | + |
| 119 | + private: |
| 120 | + struct BinaryNode { |
| 121 | + Comparable element; |
| 122 | + BinaryNode *left; |
| 123 | + BinaryNode *right; |
| 124 | + |
| 125 | + BinaryNode( const Comparable & obj = Comparable(), |
| 126 | + BinaryNode *lptr = nullptr, |
| 127 | + BinaryNode *rptr = nullptr ) |
| 128 | + : element{ obj }, left { lptr }, right { rptr } |
| 129 | + { } |
| 130 | + |
| 131 | + BinaryNode( Comparable && obj, BinaryNode *lptr, |
| 132 | + BinaryNode *rptr ) |
| 133 | + : element{ std::move(obj) }, left{ lptr }, right{ rptr } |
| 134 | + { } |
| 135 | + }; // end of struct BinaryNode |
| 136 | + |
| 137 | + BinaryNode *root; |
| 138 | + |
| 139 | + const Comparable & __findMin( BinaryNode *node ) const |
| 140 | + { |
| 141 | + if ( node == nullptr ) |
| 142 | + return nullptr; |
| 143 | + else if ( node->left == nullptr ) |
| 144 | + return node; |
| 145 | + else |
| 146 | + return __findMin( node->left ); |
| 147 | + } |
| 148 | + |
| 149 | + const Comparable & __findMax( BinaryNode *node ) const |
| 150 | + { |
| 151 | + if ( node == nullptr ) |
| 152 | + return nullptr; |
| 153 | + else if ( node->right == nullptr ) |
| 154 | + return node; |
| 155 | + else |
| 156 | + return __findMax( node->right ); |
| 157 | + } |
| 158 | + |
| 159 | + bool __contains( BinaryNode *node, const Comparable & obj ) const |
| 160 | + { |
| 161 | + if ( node == nullptr ) |
| 162 | + return false; |
| 163 | + else if ( obj < node->element ) |
| 164 | + return __contains( node->left, obj ); |
| 165 | + else if ( obj > node->element ) |
| 166 | + return __contains( node->right, obj ); |
| 167 | + else |
| 168 | + return true; |
| 169 | + } |
| 170 | + |
| 171 | + void __insert( BinaryNode * & node, const Comparable & obj ) |
| 172 | + { |
| 173 | + if ( node == nullptr ) { |
| 174 | + node = new BinaryNode( obj, nullptr, nullptr ); |
| 175 | + } else if ( obj < node->element ) { |
| 176 | + __insert( node->left, obj ); |
| 177 | + } else if ( obj > node->element ) { |
| 178 | + __insert( node->right, obj ); |
| 179 | + } else { |
| 180 | + //ignore case of duplicate |
| 181 | + } |
| 182 | + } |
| 183 | + |
| 184 | + void __insert( BinaryNode * & node, Comparable && obj ) |
| 185 | + { |
| 186 | + if ( node == nullptr ) { |
| 187 | + node = new BinaryNode( std::move( obj ), nullptr, nullptr ); |
| 188 | + return; |
| 189 | + } |
| 190 | + BinaryNode * currNode = node; |
| 191 | + bool flag = true; |
| 192 | + while (flag) { |
| 193 | + if ( currNode->element > obj ) { |
| 194 | + if ( currNode->left == nullptr ) { |
| 195 | + currNode->left = new BinaryNode( std::move( obj ), nullptr, nullptr ); |
| 196 | + flag = false; |
| 197 | + } else { |
| 198 | + currNode = currNode->left; |
| 199 | + } |
| 200 | + } else if (currNode->element < obj ) { |
| 201 | + if (currNode->right == nullptr) { |
| 202 | + currNode->right = new BinaryNode( std::move( obj ), nullptr, nullptr ); |
| 203 | + flag = false; |
| 204 | + } else { |
| 205 | + currNode = currNode->right; |
| 206 | + } |
| 207 | + } else { |
| 208 | + flag = false; |
| 209 | + //case of duplicate |
| 210 | + } |
| 211 | + } |
| 212 | + } |
| 213 | + |
| 214 | + void __remove( BinaryNode *node, const Comparable & obj ) { |
| 215 | + if ( node == nullptr ) { |
| 216 | + return; |
| 217 | + } |
| 218 | + |
| 219 | + if ( obj < node->element ) { |
| 220 | + __remove( node->left, obj ); |
| 221 | + } else if ( obj > node->element ) { |
| 222 | + __remove( node->right, obj ); |
| 223 | + } else { |
| 224 | + if ( node->left != nullptr && |
| 225 | + node->right != nullptr ) { |
| 226 | + node->element = __findMin(node->right)->element; |
| 227 | + __remove( node->right, node->element); |
| 228 | + } else { |
| 229 | + BinaryNode *oldNode = node; |
| 230 | + node = ( node->left != nullptr ) ? node->left : node->right; |
| 231 | + delete oldNode; |
| 232 | + } |
| 233 | + |
| 234 | + } |
| 235 | + } |
| 236 | + |
| 237 | + void __clear( BinaryNode *node ) const |
| 238 | + { |
| 239 | + if ( node != nullptr ) { |
| 240 | + __clear( node->left ); |
| 241 | + __clear( node->right ); |
| 242 | + delete node; |
| 243 | + } |
| 244 | + } |
| 245 | + |
| 246 | + void __printTree( BinaryNode *node, std::ostream& out ) const |
| 247 | + { |
| 248 | + if ( node != nullptr ) { |
| 249 | + __printTree( node->left, out ); |
| 250 | + out << node->element << " "; |
| 251 | + __printTree( node->right, out ); |
| 252 | + } |
| 253 | + } |
| 254 | + |
| 255 | + BinaryNode* __copy( BinaryNode *node ) { |
| 256 | + if ( node == nullptr ) { |
| 257 | + return nullptr; |
| 258 | + } |
| 259 | + return new BinaryNode( node->element, |
| 260 | + __copy( node->left ), |
| 261 | + __copy( node->right) ); |
| 262 | + } |
| 263 | + |
| 264 | + //pretty print post order |
| 265 | + void __prettyPrintTree( BinaryNode *node, int indent = 0, std::ostream & out = std::cout) |
| 266 | + { |
| 267 | + if ( node != nullptr ) { |
| 268 | + if ( node->right != nullptr ) |
| 269 | + __prettyPrintTree( node->right, indent + 4, out); |
| 270 | + |
| 271 | + if ( indent ) |
| 272 | + out << std::setw(indent) << ' '; |
| 273 | + |
| 274 | + if ( node->right != nullptr ) |
| 275 | + out<<" /\n" << std::setw(indent) << ' '; |
| 276 | + |
| 277 | + out << node->element << std::endl; |
| 278 | + |
| 279 | + if ( node->left != nullptr ) { |
| 280 | + out << std::setw(indent) << ' ' <<" \\\n"; |
| 281 | + __prettyPrintTree( node->left, indent + 4, out); |
| 282 | + } |
| 283 | + } |
| 284 | + } |
| 285 | + |
| 286 | + }; // end of class BinarySearchTree |
| 287 | +} // end of namespace algo |
| 288 | + |
| 289 | +#endif |
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