TRIE树,即字典树,可以用于排序、保存大量字符串,在搜索引擎和防火墙中都有着重要的作用。本文使用字典树读取汉语拼音并进行匹配,成功实现了汉语拼音的划分。
先来看看TRIE树的结构:
树从root根节点出发,每个节点都有26个子节点(对应各个字母)。不难发现所有n长度的单词组合都在高度为n的TRIE树中。我们把从root节点出发,到某叶子(或节点)的字母组合称为一个单词。
1.定义以下结构体构造TRIE树:
typedef struct TRIE_NODE_ {
struct TRIE_NODE_ *children[26];
bool is_word;
} TRIE_NODE;
和我们料想的一样,每个节点都有26个子节点,还有一个标记用于表示root节点到该处是不是一个单词。
2.初始化TRIE树:
static TRIE_NODE* TrieAllocateNode() {
TRIE_NODE *ret = (TRIE_NODE*) malloc(sizeof(TRIE_NODE));
if (!ret) exit(1);
ret->is_word = false;
memset(ret->children, 0, 26 * sizeof(TRIE_NODE*));
return ret;
}
通用的树的新节点的建立方法,注意将节点属性初始化为false,并把子节点清空。
3.添加新的单词到树中
void TrieAdd(TRIE_NODE *root, char *text) {
for (; *text != '\0'; ++text) { //C中遍历字符串的通用做法
if (root->children[(*text) - 'a'] == NULL) {
root->children[(*text) - 'a'] = TrieAllocateNode(); //把字母直接减去A的ASCLL码值,可以将字母与26个子节点一一对应。
}
root = root->children[(*text) - 'a']; //转向下一层树
}
root->is_word = true; //将该单词标为true
}
void PinyinSolve(TRIE_NODE *root, char *pinyin, char *sp[], int len) { //字典树root,待处理字符串pinyin,分割点标记数组sp,分割点位置len
char *p = pinyin;
TRIE_NODE *proc = root; //获取分割指针p和字典中指针proc
while(true) {
if (*p == '\0') break; //字符串处理结束后返回
if (proc->is_word) { //是单词时继续递归找出合法子结构
sp[len] = p; //每次分割成功都要标记
PinyinSolve(root, p, sp, len + 1); //递归,检查每种分割
}
if (proc->children[(*p) - 'a'] != NULL) { //没到树底就推进指针
proc = proc->children[(*p) - 'a'];
p++;
} else {
break;
}
}
if (*p == '\0' && proc->is_word == true) { //到结尾且分割方案可行就打印
sp[len] = p;
int i;
for (i = 0; i <= len; ++i) {
char *mb;
for (mb = sp[i - 1]; mb < sp[i]; ++mb) { //打出分割点间的字符串
printf("%c", *mb);
}
printf("\n");
}
printf("----\n"); //给下种分割方案留空
}
}
典型的DFS的思想,或者DP的思想,递归部分理解有些困难,要注意p的位置和值有效范围,显然展开和回溯过程中p的位置是一样的。
完整代码如下:
// gcc 下编译通过
// Copyright (c) 2015年 XiaoJSoft. All rights reserved.
// 字典树词库来自网络
// In ChestnutHeng's Blog ,If you have any questions ,please contact with [email protected]
#include
#include
#include
#include
char *pinyin[] = {"ai","an","ang","ei","ou","ao","ba","bo","bai","bei","bao","ban","ben","bang","beng","bi","bie","biao",
"bian","bin","bing","pa","po","pai","pao","pou","pan","pen","pang","peng","pi","pie","piao","pian","pin","ping","ma","mo"
,"me","mai","mao","mou","man","men","mang","meng","mi","mie","miao","miu","mian","min","ming","fa","fo","fei","fou","fan"
,"fen","fang","feng","da","tu","de","dai","dei","dao","dou","dan","dang","deng","di","die","diao","diu","dian","ding",
"ta","te","tai","tao","tou","tan","tang","teng","ti","tie","tiao","tian","ting","na","nai","nei","nao","no","nen","nan",
"nang","neng","ni","nie","niao","niu","nian","nin","niang","ning","la","le","lai","lei","lao","lou","lan","lang","leng",
"li","lia","lie","liao","liu","lian","lin","liang","ling","ga","ge","gai","gei","gao","gou","gan","gen","gang","geng",
"ka","ke","kai","kou","kan","ken","kang","keng","ha","he","hai","hei","hao","hou","hen","hang","heng","ji","jia","jie",
"jiao","jiu","jian","jin","jiang","jing","qi","qia","qie","qiao","qiu","qian","qin","qiang","qing","xi","xia","xie",
"xiao","xiu","xian","xin","xiang","xing","zha","zhe","zhi","zhai","zhao","zhou","zhan","zhen","zhang","zheng","cha",
"che","chi","chai","chou","chan","chen","chang","duo","cheng","sha","she","shi","shai","shao","shou","shan","shen",
"shang","sheng","re","ri","rao","rou","ran","ren","rang","reng","za","ze","zi","zai","zao","zou","zang","zeng",
"ca","ce","ci","cai","cao","cou","can","cen","cang","ceng","sa","se","si","sai","sao","sou","san","sen","sang",
"seng","ya","yao","you","yan","yang","yu","ye","yue","yuan","yi","yin","yun","ying","wa","wo","wai","wei","wan",
"wen","wang","weng","wu",NULL
}; //这个字典不全, = =坑爹的,不是我写的啊。
typedef struct TRIE_NODE_ {
struct TRIE_NODE_ *children[26];
bool is_word;
} TRIE_NODE;
#define MAX_LEN 128
char g_Input[MAX_LEN + 1];
static TRIE_NODE* TrieAllocateNode() {
TRIE_NODE *ret = (TRIE_NODE*) malloc(sizeof(TRIE_NODE));
if (!ret) exit(1);
ret->is_word = false;
memset(ret->children, 0, 26 * sizeof(TRIE_NODE*));
return ret;
}
void TrieAdd(TRIE_NODE *root, char *text) {
for (; *text != '\0'; ++text) {
if (root->children[(*text) - 'a'] == NULL) {
root->children[(*text) - 'a'] = TrieAllocateNode();
}
root = root->children[(*text) - 'a'];
}
root->is_word = true;
}
void PinyinSolve(TRIE_NODE *root, char *pinyin, char *sp[], int len) {
char *p = pinyin;
TRIE_NODE *proc = root;
while(true) {
if (*p == '\0') break;
if (proc->is_word) {
sp[len] = p;
PinyinSolve(root, p, sp, len + 1);
}
if (proc->children[(*p) - 'a'] != NULL) {
proc = proc->children[(*p) - 'a'];
p++;
} else {
break;
}
}
if (*p == '\0' && proc->is_word == true) {
sp[len] = p;
int i;
for (i = 0; i <= len; ++i) {
char *mb;
for (mb = sp[i - 1]; mb < sp[i]; ++mb) {
printf("%c", *mb);
}
printf("\n");
}
printf("----\n");
}
}
int main(int argc, const char * argv[]) {
TRIE_NODE *root = TrieAllocateNode();
char **ptr;
for (ptr = pinyin; *ptr != NULL; ++ptr) {
TrieAdd(root, *ptr);
}
scanf("%s", g_Input);
char *buffer[999];
buffer[0] = g_Input;
PinyinSolve(root, g_Input, buffer + 1, 0);
printf("OK\n");
return 0;
}