错误字符启发法
错误字符启发法是 Boyer Moore 算法的一种方法。另一种方法是 Good Suffix Heuristic(好后缀启发法)。这种方法中,我们将尝试找到一个错误字符,这意味着是主字符串中的一个字符,与模式不匹配。当发生失配时,我们将移动整个模式,直到失配变成匹配,否则,模式移过错误字符。
此处的最佳时间复杂度为 O(m/n),最坏情况下的时间复杂度为 O(mn),其中 n 为文本长度,m 为模式长度。
输入和输出
Input: Main String: “ABAAABCDBBABCDDEBCABC”, Pattern “ABC” Output: Pattern found at position: 4 Pattern found at position: 10 Pattern found at position: 18
算法
badCharacterHeuristic(pattern, badCharacterArray)
输入 − pattern,要搜索的模式,将错误字符数组存储在 locations
输出:填充错误字符数组以备将来使用
Begin n := pattern length for all entries of badCharacterArray, do set all entries to -1 done for all characters of the pattern, do set last position of each character in badCharacterArray. done End
searchPattern(pattern, text)
输入 − pattern,要搜索的模式和主文本
输出 − 找到模式的位置
Begin patLen := length of pattern strLen := length of text. call badCharacterHeuristic(pattern, badCharacterArray) shift := 0 while shift <= (strLen - patLen), do j := patLen -1 while j >= 0 and pattern[j] = text[shift + j], do decrease j by 1 done if j < 0, then print the shift as, there is a match if shift + patLen < strLen, then shift:= shift + patLen – badCharacterArray[text[shift + patLen]] else increment shift by 1 else shift := shift + max(1, j-badCharacterArray[text[shift+j]]) done End
示例
#include<iostream> #define MAXCHAR 256 using namespace std; int maximum(int data1, int data2) { if(data1 > data2) return data1; return data2; } void badCharacterHeuristic(string pattern, int badCharacter[MAXCHAR]) { int n = pattern.size(); //find length of pattern for(int i = 0; i<MAXCHAR; i++) badCharacter[i] = -1; //set all character distance as -1 for(int i = 0; i < n; i++) { badCharacter[(int)pattern[i]] = i; //set position of character in the array. } } void searchPattern(string mainString, string pattern, int *array, int *index) { int patLen = pattern.size(); int strLen = mainString.size(); int badCharacter[MAXCHAR]; //make array for bad character position badCharacterHeuristic(pattern, badCharacter); //fill bad character array int shift = 0; while(shift <= (strLen - patLen)) { int j = patLen - 1; while(j >= 0 && pattern[j] == mainString[shift+j]) { j--; //reduce j when pattern and main string character is matching } if(j < 0) { (*index)++; array[(*index)] = shift; if((shift + patLen) < strLen) { shift += patLen - badCharacter[mainString[shift + patLen]]; }else { shift += 1; } }else { shift += maximum(1, j - badCharacter[mainString[shift+j]]); } } } int main() { string mainString = "ABAAABCDBBABCDDEBCABC"; string pattern = "ABC"; int locArray[mainString.size()]; int index = -1; searchPattern(mainString, pattern, locArray, &index); for(int i = 0; i <= index; i++) { cout << "Pattern found at position: " << locArray[i]<<endl; } }
输出
Pattern found at position: 4 Pattern found at position: 10 Pattern found at position: 18
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