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#include <iostream>
#include <string>
#include <vector>
#include <cstring>
#include <deque>
using namespace std;
#define MAXN 127
struct Trie {
char ch;
int is_word; // 标记是否为一个单词 0-No 1-Yes (如果使用累加,则支持重复计数)
int is_marked; // 是否已经计数 0-未计数 1-已计数
Trie *fail_ptr;
Trie *next[MAXN];
int data;
};
struct Trie* create_node(char ch, int level) {
Trie *node = (Trie*) malloc(sizeof(Trie));
memset(node, 0, sizeof(Trie));
node->ch = ch;
node->data = level;
node->is_word = 0;
node->is_marked = 0;
node->fail_ptr = nullptr;
return node;
}
bool insert_tree(Trie *root, const std::string& words) {
Trie *cur = root;
for (size_t i = 0; i < words.length(); ++i) {
int8_t ch = words[i];
Trie *child = cur->next[ch];
if (child == nullptr) {
child = create_node(ch, i + 1);
cur->next[ch] = child;
}
cur = child;
}
cur->is_word = 1;
return true;
}
// 链式查找失败指针并返回, 未找到返回缺省值(一般为root)
Trie* do_find_fail_ptr(Trie *cur, int ch, Trie *default_ptr) {
Trie *result = default_ptr;
Trie *ptrfail = cur->fail_ptr;
// 链式查找:一直追溯到root
while (ptrfail != nullptr) {
// same name child occur, got it!
if (ptrfail->next[ch] != nullptr) {
result = ptrfail->next[ch];
printf("为[%c]找到失败指针<%c>\n", ch, result->ch);
break;
}
ptrfail = ptrfail->fail_ptr;
}
return result;
}
/***
* (1) 按层(BFS搜索)维护失败指针,(失败指针是存在于Tire树上的一个元素节点而已)
* (2) 每层节点负责维护下一层的失败指针
* (3) 根节点的失败指针指向nil
* (4) 根的第一层儿子的失败指针都指向root
* (5) 每一层怎么为下一层找到失败指针呢?
* a. 先拿到一个儿子S,拿出自身的失败指针P;
* b. 判断该失败指针P是否也有同名的儿子S'呢?
* c. 如果有,则把S的失败指针指向 S',停止;
* d. 如果没有,P=P->fail_ptr 上,重复步骤(b)
*/
bool build_fail_ptr(Trie *root) {
//这个nullptr在后面也作为一个搜索终止条件
root->fail_ptr = nullptr;
std::deque<Trie*> Q;
Q.push_back(root);
while (!Q.empty()) {
Trie *cur = Q.front();
Q.pop_front();
for (int i = 0; i < MAXN; i++) {
if (cur->next[i] != nullptr) {
Trie *child = cur->next[i];
// 为child节点维护失败指针
child->fail_ptr = do_find_fail_ptr(cur, child->ch, root);
// 把child 加入队列
Q.push_back(child);
}
}
}
return true;
}
// 检查是否为一个单词, 并返回数量
int do_check_and_return_cnt(Trie *cur) {
if (cur->is_word && cur->is_marked == 0) {
// marked it
cur->is_marked = 1;
printf("match ch <%c>\n", cur->ch);
return cur->is_word;
}
return 0;
}
/**
* 返回有几种模式串出现过
*/
int search(Trie *root, const std::string& matchs) {
int iCount = 0;
Trie *cur = root;
size_t idx = 0;
while (idx < matchs.length()) {
int ch = matchs[idx++];
// match it
if (cur->next[ch] != nullptr) {
cur = cur->next[ch];
iCount += do_check_and_return_cnt(cur);
} else {
//失配:当前已匹配串,检查其所有后缀子串,因为中间可能有模式串
while (cur != root) {
cur = cur->fail_ptr;
// 针对后缀串计数
iCount += do_check_and_return_cnt(cur);
}
}
}
printf("search(<%s>) occur %d times!\n", matchs.c_str(), iCount);
return iCount;
}
// 按层打印Trie树
void show(Trie *root) {
std::deque<Trie*> Q;
Q.push_back(root);
int max_level = -1;
while (!Q.empty()) {
Trie *cur = Q.front();
if (max_level < cur->data) {
max_level = cur->data;
printf("\nlevel %d\n", max_level);
}
printf("%c <word:%d>", cur->ch, cur->is_word);
Q.pop_front();
for (int i = 0; i < MAXN; ++i) {
if (cur->next[i] != nullptr) {
Q.push_back(cur->next[i]);
}
}
}
printf("\n--------\n");
}
int main() {
printf("%lld\n", sizeof(Trie));
Trie *root = create_node('r', 0);
{
string words[] = { "she", "he" };
insert_tree(root, words[0]);
insert_tree(root, words[1]);
}
show(root);
build_fail_ptr(root);
string matchs = "sher";
search(root, matchs);
return 0;
}
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