Merge pull request #6 from kvedala/document/strings

Documentation of `strings` folder
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Krishna Vedala 2020-05-29 08:45:33 -04:00 committed by GitHub
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<!--# DO NOT REMOVE THIS LINE # The Algorithms - C++ # {#mainpage}
This is for Doxygen to recognize as the index file for the complete documentation
{#mainpage} -->
# The Algorithms - C++
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#include <iostream> /**
#include <string> * @file
#include <vector> * @brief String pattern search - brute force
using std::string;
int brute_force(string text, string pattern);
std::vector<std::vector<string>> test_set = {
// {text, pattern, expected output}
{"a", "aa", "-1"},
{"a", "a", "0"},
{"ba", "b", "0"},
{"bba", "bb", "0"},
{"bbca", "c", "2"},
{"ab", "b", "1"}
};
int main() {
for (size_t i = 0 ; i < test_set.size(); i++) {
int output = brute_force(test_set[i][0], test_set[i][1]);
if (std::to_string(output) == test_set[i][2])
std::cout << "success\n";
else
std::cout << "failure\n";
}
return 0;
}
/*
*@description Find a pattern in a string by comparing the pattern
* to every substring.
*@param text Any string that might contain the pattern.
*@param pattern String that we are searching for.
*@return Index where the pattern starts in the text or
* -1 if the pattern was not found.
*/ */
#include <iostream>
#ifdef _MSC_VER
#include <string> // use this for MS Visucal C++
#else
#include <cstring>
#endif
#include <vector>
int brute_force(string text, string pattern) { /**
size_t pat_l = pattern.length(); * Find a pattern in a string by comparing the pattern to every substring.
size_t txt_l = text.length(); * @param text Any string that might contain the pattern.
int index = -1; * @param pattern String that we are searching for.
if (pat_l <= txt_l) { * @return Index where the pattern starts in the text
for (size_t i = 0; i < txt_l-pat_l+1; i++) { * @return -1 if the pattern was not found.
string s = text.substr(i, pat_l); */
if (s == pattern) { int brute_force(const std::string &text, const std::string &pattern) {
index = i; size_t pat_l = pattern.length();
size_t txt_l = text.length();
int index = -1;
if (pat_l <= txt_l) {
for (size_t i = 0; i < txt_l - pat_l + 1; i++) {
std::string s = text.substr(i, pat_l);
if (s == pattern) {
index = i;
break; break;
} }
} }
} }
return index; return index;
} }
/** set of test cases */
const std::vector<std::vector<std::string>> test_set = {
// {text, pattern, expected output}
{"a", "aa", "-1"}, {"a", "a", "0"}, {"ba", "b", "0"},
{"bba", "bb", "0"}, {"bbca", "c", "2"}, {"ab", "b", "1"}};
/** Main function */
int main() {
for (size_t i = 0; i < test_set.size(); i++) {
int output = brute_force(test_set[i][0], test_set[i][1]);
if (std::to_string(output) == test_set[i][2])
std::cout << "success\n";
else
std::cout << "failure\n";
}
return 0;
}

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@ -1,64 +1,88 @@
/* /**
The Knuth-Morris-Pratt Algorithm for finding a pattern within a piece of text * \file
with complexity O(n + m) * \brief The [Knuth-Morris-Pratt
1) Preprocess pattern to identify any suffixes that are identical to prefixes * Algorithm](https://en.wikipedia.org/wiki/KnuthMorrisPratt_algorithm) for
This tells us where to continue from if we get a mismatch between a character in our pattern * finding a pattern within a piece of text with complexity O(n + m)
and the text. *
2) Step through the text one character at a time and compare it to a character in the pattern * 1. Preprocess pattern to identify any suffixes that are identical to
updating our location within the pattern if necessary * prefixes. This tells us where to continue from if we get a mismatch between a
*/ * character in our pattern and the text.
* 2. Step through the text one character at a time and compare it to a
* character in the pattern updating our location within the pattern if
* necessary
*/
#include<iostream> #include <iostream>
#include<vector> #ifdef _MSC_VER
#include<string> #include <string> // use this for MS Visucal C++
using namespace std; #else
vector<int> getFailureArray(string pattern){ #include <cstring>
int pattern_length=pattern.size(); #endif
vector<int>failure(pattern_length+1); #include <vector>
failure[0]=-1;
int j=-1; /**
for(int i=0; i<pattern_length; i++){ * Generate the partial match table aka failure function for a pattern to
while(j!=-1&&pattern[j]!=pattern[i]){ * search.
j=failure[j]; * \param[in] pattern text for which to create the partial match table
* \returns the partial match table as a vector array
*/
std::vector<int> getFailureArray(const std::string &pattern) {
int pattern_length = pattern.size();
std::vector<int> failure(pattern_length + 1);
failure[0] = -1;
int j = -1;
for (int i = 0; i < pattern_length; i++) {
while (j != -1 && pattern[j] != pattern[i]) {
j = failure[j];
} }
j++; j++;
failure[i+1]=j; failure[i + 1] = j;
} }
return failure; return failure;
} }
bool kmp(string pattern,string text){
int text_length=text.size(),pattern_length=pattern.size(); /**
vector<int>failure=getFailureArray(pattern); * KMP algorithm to find a pattern in a text
int k=0; * \param[in] pattern string pattern to search
for(int j=0; j<text_length; j++){ * \param[in] text text in which to search
while(k!=-1&&pattern[k]!=text[j]){ * \returns `true` if pattern was found
k=failure[k]; * \returns `false` if pattern was not found
*/
bool kmp(const std::string &pattern, const std::string &text) {
int text_length = text.size(), pattern_length = pattern.size();
std::vector<int> failure = getFailureArray(pattern);
int k = 0;
for (int j = 0; j < text_length; j++) {
while (k != -1 && pattern[k] != text[j]) {
k = failure[k];
} }
k++; k++;
if(k==pattern_length)return true; if (k == pattern_length)
return true;
} }
return false; return false;
} }
int main() /** Main function */
{ int main() {
std::string text = "alskfjaldsabc1abc1abc12k23adsfabcabc";
string text="alskfjaldsabc1abc1abc12k23adsfabcabc"; std::string pattern = "abc1abc12l";
string pattern="abc1abc12l";
if(kmp(pattern,text)==true){ if (kmp(pattern, text) == true) {
cout<<"Found"<<endl; std::cout << "Found" << std::endl;
} else {
std::cout << "Not Found" << std::endl;
} }
else{
cout<<"Not Found"<<endl; text = "abcabc";
} pattern = "bca";
text="abcabc"; if (kmp(pattern, text) == true) {
pattern="bca"; std::cout << "Found" << std::endl;
if(kmp(pattern,text)==true){ } else {
cout<<"Found"<<endl; std::cout << "Not Found" << std::endl;
}
else{
cout<<"Not Found"<<endl;
} }
return 0; return 0;
} }

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/* /**
* file name : rabin_karp.cpp * \file
* author : Amit Kumar * \brief The [Rabin-Karp
* Copyright : 2020 , Amit Kumar * Algorithm](https://en.wikipedia.org/wiki/RabinKarp_algorithm) for finding a
* version : 1.0 * pattern within a piece of text with complexity O(n + m)
*/ */
#include<cassert> #include <cassert>
#include<cmath> #include <cmath>
#include<iostream> #include <iostream>
#include<string> #ifdef _MSC_VER
#include <string> // use this for MS Visucal C++
#else
#include <cstring>
#endif
using std::string; #define PRIME 5 ///< Prime modulus for hash functions
using std::pow;
#define PRIME 5 /**
* convert a string to an intger - called as hashing function
int64_t create_hash(string s , int n) { * \param[in] s source of string to hash
* \param[in] n length of substring to hash
* \returns hash integer
*/
int64_t create_hash(const std::string& s, int n) {
int64_t result = 0; int64_t result = 0;
for ( int i = 0; i < n; ++i ) { for (int i = 0; i < n; ++i) {
result += (int64_t)(s[i] * (int64_t)pow(PRIME , i)); result += (int64_t)(s[i] * (int64_t)pow(PRIME, i));
} }
return result; return result;
} }
int64_t recalculate_hash(string s , int old_index , /**
int new_index , int64_t old_hash , int patLength) { * re-hash a string using known existing hash
* \param[in] s source of string to hash
* \param[in] old_index previous index of string
* \param[in] new_index new index of string
* \param[in] old_hash previous hash of substring
* \param[in] patLength length of substring to hash
* \returns new hash integer
*/
int64_t recalculate_hash(const std::string& s, int old_index, int new_index,
int64_t old_hash, int patLength) {
int64_t new_hash = old_hash - s[old_index]; int64_t new_hash = old_hash - s[old_index];
new_hash /= PRIME; new_hash /= PRIME;
new_hash += (int64_t)(s[new_index]*(int64_t)pow(PRIME, patLength-1)); new_hash += (int64_t)(s[new_index] * (int64_t)pow(PRIME, patLength - 1));
return new_hash; return new_hash;
} }
bool check_if_equal(string str1 , string str2 , /**
int start1 , int end1 , * compare if two sub-strings are equal
int start2 , int end2) { * \param[in] str1 string pattern to search
if (end1-start1 != end2-start2) { * \param[in] str2 text in which to search
* \param[in] start1,end1 start and end indices for substring in str1
* \param[in] start2,end2 start and end indices for substring in str2
* \returns `true` if pattern was found
* \returns `false` if pattern was not found
* @note can this be replaced by std::string::compare?
*/
bool check_if_equal(const std::string& str1, const std::string& str2,
int start1, int end1, int start2, int end2) {
if (end1 - start1 != end2 - start2) {
return false; return false;
} }
while (start1 <= end1 && start2 <= end2) { while (start1 <= end1 && start2 <= end2) {
@ -46,33 +71,36 @@ bool check_if_equal(string str1 , string str2 ,
return true; return true;
} }
/* /**
* @description : search pattern in the given text * Perform string pattern search using Rabin-Karp algorithm
* @param : string str * @param[in] str string to search in
* @param : string pat * @param[in] pat pattern to search for
* @return index of first occurrence of pattern or -1 if pattern not found * @return index of first occurrence of pattern
* @return -1 if pattern not found
*/ */
int rabin_karp(const string &str , const string& pat) { int rabin_karp(const std::string& str, const std::string& pat) {
int64_t pat_hash = create_hash(pat , pat.size()); int64_t pat_hash = create_hash(pat, pat.size());
int64_t str_hash = create_hash(str , pat.size()); int64_t str_hash = create_hash(str, pat.size());
for (int i=0; i <= str.size()-pat.size(); ++i) { for (int i = 0; i <= str.size() - pat.size(); ++i) {
if (pat_hash == str_hash && if (pat_hash == str_hash &&
check_if_equal(str , pat , i , i+pat.size()-1 , 0 , pat.size()-1)) { check_if_equal(str, pat, i, i + pat.size() - 1, 0,
return i; pat.size() - 1)) {
return i;
} }
if (i < str.size()-pat.size()) { if (i < str.size() - pat.size()) {
str_hash = str_hash =
recalculate_hash(str, i, i+pat.size(), str_hash, pat.size()); recalculate_hash(str, i, i + pat.size(), str_hash, pat.size());
} }
} }
return -1; // return -1 if given pattern not found return -1; // return -1 if given pattern not found
} }
/** Main function */
int main(void) { int main(void) {
assert(rabin_karp("helloWorld", "world") == -1); assert(rabin_karp("helloWorld", "world") == -1);
assert(rabin_karp("helloWorld", "World") == 5); assert(rabin_karp("helloWorld", "World") == 5);
assert(rabin_karp("this_is_c++" , "c++") == 8); assert(rabin_karp("this_is_c++", "c++") == 8);
assert(rabin_karp("happy_coding", "happy") == 0); assert(rabin_karp("happy_coding", "happy") == 0);
return 0; return 0;
} }