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| 1 | +/** |
| 2 | + * Huffman树(C语言): C语言实现的Huffman树。 |
| 3 | + * |
| 4 | + * 构造Huffman树时,使用到了最小堆。 |
| 5 | + * |
| 6 | + * @author skywang |
| 7 | + * @date 2014/03/25 |
| 8 | + */ |
| 9 | + |
| 10 | +#include <stdio.h> |
| 11 | +#include <stdlib.h> |
| 12 | +#include "huffman.h" |
| 13 | + |
| 14 | +// 创建最小堆 |
| 15 | +extern void create_minheap(Type a[], int size); |
| 16 | +// 新建一个节点,并将最小堆中最小节点的数据复制给该节点。 |
| 17 | +extern HuffmanNode* dump_from_minheap(); |
| 18 | +// 将data插入到二叉堆中。0表示成功,-1表示失败。 |
| 19 | +extern int dump_to_minheap(HuffmanNode *node); |
| 20 | +// 销毁最小堆 |
| 21 | +extern void destroy_minheap(); |
| 22 | + |
| 23 | +/* |
| 24 | + * 前序遍历"Huffman树" |
| 25 | + */ |
| 26 | +void preorder_huffman(HuffmanTree tree) |
| 27 | +{ |
| 28 | + if(tree != NULL) |
| 29 | + { |
| 30 | + printf("%d ", tree->key); |
| 31 | + preorder_huffman(tree->left); |
| 32 | + preorder_huffman(tree->right); |
| 33 | + } |
| 34 | +} |
| 35 | + |
| 36 | + |
| 37 | +/* |
| 38 | + * 中序遍历"Huffman树" |
| 39 | + */ |
| 40 | +void inorder_huffman(HuffmanTree tree) |
| 41 | +{ |
| 42 | + if(tree != NULL) |
| 43 | + { |
| 44 | + inorder_huffman(tree->left); |
| 45 | + printf("%d ", tree->key); |
| 46 | + inorder_huffman(tree->right); |
| 47 | + } |
| 48 | +} |
| 49 | + |
| 50 | +/* |
| 51 | + * 后序遍历"Huffman树" |
| 52 | + */ |
| 53 | +void postorder_huffman(HuffmanTree tree) |
| 54 | +{ |
| 55 | + if(tree != NULL) |
| 56 | + { |
| 57 | + postorder_huffman(tree->left); |
| 58 | + postorder_huffman(tree->right); |
| 59 | + printf("%d ", tree->key); |
| 60 | + } |
| 61 | +} |
| 62 | + |
| 63 | +/* |
| 64 | + * 创建Huffman树结点。 |
| 65 | + * |
| 66 | + * 参数说明: |
| 67 | + * key 是键值。 |
| 68 | + * left 是左孩子。 |
| 69 | + * right 是右孩子。 |
| 70 | + * parent 是父节点 |
| 71 | + */ |
| 72 | +HuffmanNode* huffman_create_node(Type key, HuffmanNode *left, HuffmanNode* right, HuffmanNode* parent) |
| 73 | +{ |
| 74 | + HuffmanNode* p; |
| 75 | + |
| 76 | + if ((p = (HuffmanNode *)malloc(sizeof(HuffmanNode))) == NULL) |
| 77 | + return NULL; |
| 78 | + p->key = key; |
| 79 | + p->left = left; |
| 80 | + p->right = right; |
| 81 | + p->parent = parent; |
| 82 | + |
| 83 | + return p; |
| 84 | +} |
| 85 | + |
| 86 | +/* |
| 87 | + * 创建Huffman树 |
| 88 | + * |
| 89 | + * 参数说明: |
| 90 | + * a 权值数组 |
| 91 | + * size 数组大小 |
| 92 | + * |
| 93 | + * 返回值: |
| 94 | + * Huffman树的根 |
| 95 | + */ |
| 96 | +HuffmanNode* create_huffman(Type a[], int size) |
| 97 | +{ |
| 98 | + int i; |
| 99 | + HuffmanNode *left, *right, *parent; |
| 100 | + |
| 101 | + // 建立数组a对应的最小堆 |
| 102 | + create_minheap(a, size); |
| 103 | + |
| 104 | + for(i=0; i<size-1; i++) |
| 105 | + { |
| 106 | + left = dump_from_minheap(); // 最小节点是左孩子 |
| 107 | + right = dump_from_minheap(); // 其次才是右孩子 |
| 108 | + |
| 109 | + // 新建parent节点,左右孩子分别是left/right; |
| 110 | + // parent的大小是左右孩子之和 |
| 111 | + parent = huffman_create_node(left->key+right->key, left, right, NULL); |
| 112 | + left->parent = parent; |
| 113 | + right->parent = parent; |
| 114 | + |
| 115 | + |
| 116 | + // 将parent节点数据拷贝到"最小堆"中 |
| 117 | + if (dump_to_minheap(parent)!=0) |
| 118 | + { |
| 119 | + printf("插入失败!\n结束程序\n"); |
| 120 | + destroy_huffman(parent); |
| 121 | + parent = NULL; |
| 122 | + break; |
| 123 | + } |
| 124 | + } |
| 125 | + |
| 126 | + // 销毁最小堆 |
| 127 | + destroy_minheap(); |
| 128 | + |
| 129 | + return parent; |
| 130 | +} |
| 131 | + |
| 132 | +/* |
| 133 | + * 销毁Huffman树 |
| 134 | + */ |
| 135 | +void destroy_huffman(HuffmanTree tree) |
| 136 | +{ |
| 137 | + if (tree==NULL) |
| 138 | + return ; |
| 139 | + |
| 140 | + if (tree->left != NULL) |
| 141 | + destroy_huffman(tree->left); |
| 142 | + if (tree->right != NULL) |
| 143 | + destroy_huffman(tree->right); |
| 144 | + |
| 145 | + free(tree); |
| 146 | +} |
| 147 | + |
| 148 | +/* |
| 149 | + * 打印"Huffman树" |
| 150 | + * |
| 151 | + * tree -- Huffman树的节点 |
| 152 | + * key -- 节点的键值 |
| 153 | + * direction -- 0,表示该节点是根节点; |
| 154 | + * -1,表示该节点是它的父结点的左孩子; |
| 155 | + * 1,表示该节点是它的父结点的右孩子。 |
| 156 | + */ |
| 157 | +void huffman_print(HuffmanTree tree, Type key, int direction) |
| 158 | +{ |
| 159 | + if(tree != NULL) |
| 160 | + { |
| 161 | + if(direction==0) // tree是根节点 |
| 162 | + printf("%2d is root\n", tree->key, key); |
| 163 | + else // tree是分支节点 |
| 164 | + printf("%2d is %2d's %6s child\n", tree->key, key, direction==1?"right" : "left"); |
| 165 | + |
| 166 | + huffman_print(tree->left, tree->key, -1); |
| 167 | + huffman_print(tree->right,tree->key, 1); |
| 168 | + } |
| 169 | +} |
| 170 | + |
| 171 | +void print_huffman(HuffmanTree tree) |
| 172 | +{ |
| 173 | + if (tree!=NULL) |
| 174 | + huffman_print(tree, tree->key, 0); |
| 175 | +} |
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