|
| 1 | +#include <iostream> |
| 2 | +#include <cstdlib> |
| 3 | +using namespace std; |
| 4 | + |
| 5 | + |
| 6 | +#define MAX_TREE_HT 100 |
| 7 | + |
| 8 | + |
| 9 | +struct MinHeapNode { |
| 10 | + |
| 11 | + |
| 12 | + char data; |
| 13 | + |
| 14 | + |
| 15 | + unsigned freq; |
| 16 | + |
| 17 | + |
| 18 | + struct MinHeapNode *left, *right; |
| 19 | +}; |
| 20 | + |
| 21 | + |
| 22 | +struct MinHeap { |
| 23 | + |
| 24 | + |
| 25 | + unsigned size; |
| 26 | + |
| 27 | + |
| 28 | + unsigned capacity; |
| 29 | + |
| 30 | + |
| 31 | + struct MinHeapNode** array; |
| 32 | +}; |
| 33 | + |
| 34 | + |
| 35 | +struct MinHeapNode* newNode(char data, unsigned freq) |
| 36 | +{ |
| 37 | + struct MinHeapNode* temp |
| 38 | + = (struct MinHeapNode*)malloc |
| 39 | +(sizeof(struct MinHeapNode)); |
| 40 | + |
| 41 | + temp->left = temp->right = NULL; |
| 42 | + temp->data = data; |
| 43 | + temp->freq = freq; |
| 44 | + |
| 45 | + return temp; |
| 46 | +} |
| 47 | + |
| 48 | + |
| 49 | +struct MinHeap* createMinHeap(unsigned capacity) |
| 50 | + |
| 51 | +{ |
| 52 | + |
| 53 | + struct MinHeap* minHeap |
| 54 | + = (struct MinHeap*)malloc(sizeof(struct MinHeap)); |
| 55 | + |
| 56 | + |
| 57 | + minHeap->size = 0; |
| 58 | + |
| 59 | + minHeap->capacity = capacity; |
| 60 | + |
| 61 | + minHeap->array |
| 62 | + = (struct MinHeapNode**)malloc(minHeap-> |
| 63 | +capacity * sizeof(struct MinHeapNode*)); |
| 64 | + return minHeap; |
| 65 | +} |
| 66 | + |
| 67 | + |
| 68 | +void swapMinHeapNode(struct MinHeapNode** a, |
| 69 | + struct MinHeapNode** b) |
| 70 | + |
| 71 | +{ |
| 72 | + |
| 73 | + struct MinHeapNode* t = *a; |
| 74 | + *a = *b; |
| 75 | + *b = t; |
| 76 | +} |
| 77 | + |
| 78 | + |
| 79 | +void minHeapify(struct MinHeap* minHeap, int idx) |
| 80 | + |
| 81 | +{ |
| 82 | + |
| 83 | + int smallest = idx; |
| 84 | + int left = 2 * idx + 1; |
| 85 | + int right = 2 * idx + 2; |
| 86 | + |
| 87 | + if (left < minHeap->size && minHeap->array[left]-> |
| 88 | +freq < minHeap->array[smallest]->freq) |
| 89 | + smallest = left; |
| 90 | + |
| 91 | + if (right < minHeap->size && minHeap->array[right]-> |
| 92 | +freq < minHeap->array[smallest]->freq) |
| 93 | + smallest = right; |
| 94 | + |
| 95 | + if (smallest != idx) { |
| 96 | + swapMinHeapNode(&minHeap->array[smallest], |
| 97 | + &minHeap->array[idx]); |
| 98 | + minHeapify(minHeap, smallest); |
| 99 | + } |
| 100 | +} |
| 101 | + |
| 102 | + |
| 103 | +int isSizeOne(struct MinHeap* minHeap) |
| 104 | +{ |
| 105 | + |
| 106 | + return (minHeap->size == 1); |
| 107 | +} |
| 108 | + |
| 109 | + |
| 110 | +struct MinHeapNode* extractMin(struct MinHeap* minHeap) |
| 111 | + |
| 112 | +{ |
| 113 | + |
| 114 | + struct MinHeapNode* temp = minHeap->array[0]; |
| 115 | + minHeap->array[0] |
| 116 | + = minHeap->array[minHeap->size - 1]; |
| 117 | + |
| 118 | + --minHeap->size; |
| 119 | + minHeapify(minHeap, 0); |
| 120 | + |
| 121 | + return temp; |
| 122 | +} |
| 123 | + |
| 124 | + |
| 125 | +void insertMinHeap(struct MinHeap* minHeap, |
| 126 | + struct MinHeapNode* minHeapNode) |
| 127 | + |
| 128 | +{ |
| 129 | + |
| 130 | + ++minHeap->size; |
| 131 | + int i = minHeap->size - 1; |
| 132 | + |
| 133 | + while (i && minHeapNode->freq < minHeap->array[(i - 1) / 2]->freq) { |
| 134 | + |
| 135 | + minHeap->array[i] = minHeap->array[(i - 1) / 2]; |
| 136 | + i = (i - 1) / 2; |
| 137 | + } |
| 138 | + |
| 139 | + minHeap->array[i] = minHeapNode; |
| 140 | +} |
| 141 | + |
| 142 | + |
| 143 | +void buildMinHeap(struct MinHeap* minHeap) |
| 144 | + |
| 145 | +{ |
| 146 | + |
| 147 | + int n = minHeap->size - 1; |
| 148 | + int i; |
| 149 | + |
| 150 | + for (i = (n - 1) / 2; i >= 0; --i) |
| 151 | + minHeapify(minHeap, i); |
| 152 | +} |
| 153 | + |
| 154 | + |
| 155 | +void printArr(int arr[], int n) |
| 156 | +{ |
| 157 | + int i; |
| 158 | + for (i = 0; i < n; ++i) |
| 159 | + cout<< arr[i]; |
| 160 | + |
| 161 | + cout<<"\n"; |
| 162 | +} |
| 163 | + |
| 164 | + |
| 165 | +int isLeaf(struct MinHeapNode* root) |
| 166 | + |
| 167 | +{ |
| 168 | + |
| 169 | + return !(root->left) && !(root->right); |
| 170 | +} |
| 171 | + |
| 172 | + |
| 173 | +struct MinHeap* createAndBuildMinHeap(char data[], int freq[], int size) |
| 174 | + |
| 175 | +{ |
| 176 | + |
| 177 | + struct MinHeap* minHeap = createMinHeap(size); |
| 178 | + |
| 179 | + for (int i = 0; i < size; ++i) |
| 180 | + minHeap->array[i] = newNode(data[i], freq[i]); |
| 181 | + |
| 182 | + minHeap->size = size; |
| 183 | + buildMinHeap(minHeap); |
| 184 | + |
| 185 | + return minHeap; |
| 186 | +} |
| 187 | + |
| 188 | +struct MinHeapNode* buildHuffmanTree(char data[], int freq[], int size) |
| 189 | + |
| 190 | +{ |
| 191 | + struct MinHeapNode *left, *right, *top; |
| 192 | + |
| 193 | + |
| 194 | + struct MinHeap* minHeap = createAndBuildMinHeap(data, freq, size); |
| 195 | + |
| 196 | + |
| 197 | + while (!isSizeOne(minHeap)) { |
| 198 | + |
| 199 | + |
| 200 | + left = extractMin(minHeap); |
| 201 | + right = extractMin(minHeap); |
| 202 | + |
| 203 | + |
| 204 | + top = newNode('$', left->freq + right->freq); |
| 205 | + |
| 206 | + top->left = left; |
| 207 | + top->right = right; |
| 208 | + |
| 209 | + insertMinHeap(minHeap, top); |
| 210 | + } |
| 211 | + |
| 212 | + |
| 213 | + return extractMin(minHeap); |
| 214 | +} |
| 215 | + |
| 216 | + |
| 217 | +void printCodes(struct MinHeapNode* root, int arr[], int top) |
| 218 | + |
| 219 | +{ |
| 220 | + |
| 221 | + |
| 222 | + if (root->left) { |
| 223 | + |
| 224 | + arr[top] = 0; |
| 225 | + printCodes(root->left, arr, top + 1); |
| 226 | + } |
| 227 | + |
| 228 | + |
| 229 | + if (root->right) { |
| 230 | + |
| 231 | + arr[top] = 1; |
| 232 | + printCodes(root->right, arr, top + 1); |
| 233 | + } |
| 234 | + |
| 235 | + |
| 236 | + if (isLeaf(root)) { |
| 237 | + |
| 238 | + cout<< root->data <<": "; |
| 239 | + printArr(arr, top); |
| 240 | + } |
| 241 | +} |
| 242 | + |
| 243 | + |
| 244 | +void HuffmanCodes(char data[], int freq[], int size) |
| 245 | + |
| 246 | +{ |
| 247 | + |
| 248 | + struct MinHeapNode* root |
| 249 | + = buildHuffmanTree(data, freq, size); |
| 250 | + |
| 251 | + |
| 252 | + int arr[MAX_TREE_HT], top = 0; |
| 253 | + |
| 254 | + printCodes(root, arr, top); |
| 255 | +} |
| 256 | + |
| 257 | + |
| 258 | +int main() |
| 259 | +{ |
| 260 | + |
| 261 | + char arr[] = { 'a', 'b', 'c', 'd', 'e', 'f' }; |
| 262 | + int freq[] = { 5, 9, 12, 13, 16, 45 }; |
| 263 | + |
| 264 | + int size = sizeof(arr) / sizeof(arr[0]); |
| 265 | + |
| 266 | + HuffmanCodes(arr, freq, size); |
| 267 | + |
| 268 | + return 0; |
| 269 | +} |
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