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| 1 | +package io.github.dunwu.algorithm.hash; |
| 2 | + |
| 3 | +/** |
| 4 | + * 为了精简示例代码,所有参数都用 public |
| 5 | + */ |
| 6 | +@SuppressWarnings("all") |
| 7 | +class HashTable { |
| 8 | + public int key = 0; // 关键字 |
| 9 | + public int data = 0; // 数值 |
| 10 | + public int count = 0; // 探查次数 |
| 11 | +} |
| 12 | + |
| 13 | +/** |
| 14 | + * Hash 表查找示例 |
| 15 | + * |
| 16 | + * @author Zhang Peng |
| 17 | + */ |
| 18 | +public class HashDemo { |
| 19 | + |
| 20 | + private final static int MAXSIZE = 13; |
| 21 | + private final static int MODULO = 13; |
| 22 | + private final static int NULLKEY = 1; |
| 23 | + private final static int DELKEY = 2; |
| 24 | + private final static int SUCCESS = 0; |
| 25 | + private final static int FAILED = 0xFFFFFFFF; |
| 26 | + |
| 27 | + /** |
| 28 | + * 查找哈希表 |
| 29 | + * 构造哈希表采用除留取余法,即f(key) = key mod p (p ≤ size) |
| 30 | + * 解决冲突采用开放定址法,即f2(key) = (f(key) + i) mod p (1 ≤ i ≤ size-1) |
| 31 | + * ha为哈希表,p为模,size为哈希表大小,key为要查找的关键字 |
| 32 | + */ |
| 33 | + private int searchHashTable(HashTable[] ha, int p, int size, int key) { |
| 34 | + // 采用除留取余法找哈希地址 |
| 35 | + int addr = key % p; |
| 36 | + |
| 37 | + // 若发生冲突,用开放定址法找下一个哈希地址 |
| 38 | + while (ha[addr].key != NULLKEY && ha[addr].key != key) { |
| 39 | + addr = (addr + 1) % size; |
| 40 | + } |
| 41 | + |
| 42 | + if (ha[addr].key == key) { |
| 43 | + // 查找成功 |
| 44 | + return addr; |
| 45 | + } else { |
| 46 | + // 查找失败 |
| 47 | + return FAILED; |
| 48 | + } |
| 49 | + } |
| 50 | + |
| 51 | + /** |
| 52 | + * 删除哈希表中关键字为key的记录 |
| 53 | + * 找到要删除的记录,将关键字置为删除标记DELKEY |
| 54 | + */ |
| 55 | + public int deleteHashTable(HashTable[] ha, int p, int size, int key) { |
| 56 | + int addr = 0; |
| 57 | + addr = searchHashTable(ha, p, size, key); |
| 58 | + if (FAILED != addr) { |
| 59 | + // 将该位置的关键字置为DELKEY |
| 60 | + ha[addr].key = DELKEY; |
| 61 | + return SUCCESS; |
| 62 | + } else { |
| 63 | + // 查找不到记录,直接返回NULLKEY |
| 64 | + return NULLKEY; |
| 65 | + } |
| 66 | + } |
| 67 | + |
| 68 | + /** |
| 69 | + * 将待插入的关键字key插入哈希表 |
| 70 | + * 先调用查找算法,若在表中找到待插入的关键字,则插入失败; |
| 71 | + * 若在表中找到一个开放地址,则将待插入的结点插入到其中,则插入成功。 |
| 72 | + */ |
| 73 | + private void insertHashTable(HashTable[] ha, int p, int size, int key) { |
| 74 | + int i = 1; |
| 75 | + int addr = 0; |
| 76 | + // 通过哈希函数获取哈希地址 |
| 77 | + addr = key % p; |
| 78 | + // 如果没有冲突,直接插入 |
| 79 | + if (ha[addr].key == NULLKEY || ha[addr].key == DELKEY) { |
| 80 | + ha[addr].key = key; |
| 81 | + ha[addr].count = 1; |
| 82 | + // 如果有冲突,使用开放定址法处理冲突 |
| 83 | + } else { |
| 84 | + do { |
| 85 | + // 寻找下一个哈希地址 |
| 86 | + addr = (addr + 1) % size; |
| 87 | + i++; |
| 88 | + } while (ha[addr].key != NULLKEY && ha[addr].key != DELKEY); |
| 89 | + |
| 90 | + ha[addr].key = key; |
| 91 | + ha[addr].count = i; |
| 92 | + } |
| 93 | + } |
| 94 | + |
| 95 | + /** |
| 96 | + * 创建哈希表 |
| 97 | + * 先将哈希表中各关键字清空,使其地址为开放的,然后调用插入算法将给定的关键字序列依次插入。 |
| 98 | + */ |
| 99 | + public void createHashTable(HashTable[] ha, int[] list, int p, int size) { |
| 100 | + int i = 0; |
| 101 | + |
| 102 | + // 将哈希表中的所有关键字清空 |
| 103 | + for (i = 0; i < ha.length; i++) { |
| 104 | + ha[i].key = NULLKEY; |
| 105 | + ha[i].count = 0; |
| 106 | + } |
| 107 | + |
| 108 | + // 将关键字序列依次插入哈希表中 |
| 109 | + for (i = 0; i < list.length; i++) { |
| 110 | + this.insertHashTable(ha, p, size, list[i]); |
| 111 | + } |
| 112 | + } |
| 113 | + |
| 114 | + /** |
| 115 | + * 输出哈希表 |
| 116 | + */ |
| 117 | + private void displayHashTable(HashTable[] ha) { |
| 118 | + int i = 0; |
| 119 | + System.out.format("pos:\t", "pos"); |
| 120 | + for (i = 0; i < ha.length; i++) { |
| 121 | + System.out.format("%4d", i); |
| 122 | + } |
| 123 | + System.out.println(); |
| 124 | + |
| 125 | + System.out.format("key:\t"); |
| 126 | + for (i = 0; i < ha.length; i++) { |
| 127 | + if (ha[i].key != NULLKEY) { |
| 128 | + System.out.format("%4d", ha[i].key); |
| 129 | + } else { |
| 130 | + System.out.format(" "); |
| 131 | + } |
| 132 | + } |
| 133 | + System.out.println(); |
| 134 | + |
| 135 | + System.out.format("count:\t"); |
| 136 | + for (i = 0; i < ha.length; i++) { |
| 137 | + if (0 != ha[i].count) { |
| 138 | + System.out.format("%4d", ha[i].count); |
| 139 | + } else { |
| 140 | + System.out.format(" "); |
| 141 | + } |
| 142 | + } |
| 143 | + System.out.println(); |
| 144 | + } |
| 145 | + |
| 146 | + public static void main(String[] args) { |
| 147 | + // int[] list = {3, 112, 245, 27, 44, 19, 76, 29, 90}; |
| 148 | + int[] list = {1, 9, 25, 11, 12, 35, 17, 29}; |
| 149 | + HashTable[] ha = new HashTable[MAXSIZE]; |
| 150 | + for (int i = 0; i < ha.length; i++) { |
| 151 | + ha[i] = new HashTable(); |
| 152 | + } |
| 153 | + |
| 154 | + HashDemo search = new HashDemo(); |
| 155 | + search.createHashTable(ha, list, MODULO, MAXSIZE); |
| 156 | + search.displayHashTable(ha); |
| 157 | + |
| 158 | + } |
| 159 | + |
| 160 | +} |
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