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@@ -112,14 +112,15 @@ $(function(){initNavTree('d3/d80/z__function_8cpp.html','../../'); initResizable
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<p>The <a href="https://cp-algorithms.com/string/z-function.html" target="_blank">Z function</a> for finding occurences of a pattern within a piece of text with time and space complexity O(n + m)
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<a href="#details">More...</a></p>
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<div class="textblock"><code>#include <iostream></code><br />
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<div class="textblock"><code>#include <cstdint></code><br />
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<code>#include <iostream></code><br />
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<code>#include <cstring></code><br />
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<code>#include <cassert></code><br />
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<code>#include <vector></code><br />
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</div><div class="textblock"><div class="dynheader">
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Include dependency graph for z_function.cpp:</div>
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<div class="dyncontent">
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<div class="center"><iframe scrolling="no" frameborder="0" src="../../d0/df1/z__function_8cpp__incl.svg" width="336" height="111"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe></div>
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<div class="center"><iframe scrolling="no" frameborder="0" src="../../d0/df1/z__function_8cpp__incl.svg" width="420" height="111"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe></div>
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</div>
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</div><table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="func-members" name="func-members"></a>
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@@ -173,22 +174,22 @@ Functions</h2></td></tr>
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</dd>
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</dl>
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<dl class="section return"><dt>Returns</dt><dd>a vector of starting indexes where pattern is found in the text </dd></dl>
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<div class="fragment"><div class="line"><span class="lineno"> 54</span> {</div>
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<div class="line"><span class="lineno"> 55</span> uint64_t text_length = text.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string/size.html">size</a>(), pattern_length = pattern.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string/size.html">size</a>();</div>
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<div class="line"><span class="lineno"> 56</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<uint64_t></a> z = <a class="code hl_function" href="#ac044c4794349a8cff6256b99950d5773">Z_function</a>(pattern + <span class="charliteral">'#'</span> + text);</div>
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<div class="line"><span class="lineno"> 57</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<uint64_t></a> matching_indexes;</div>
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<div class="line"><span class="lineno"> 58</span> </div>
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<div class="line"><span class="lineno"> 59</span> <span class="keywordflow">for</span> (uint64_t i = 0; i < text_length; i++) {</div>
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<div class="line"><span class="lineno"> 60</span> <span class="keywordflow">if</span> (z[i + pattern_length + 1] == pattern_length) {</div>
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<div class="line"><span class="lineno"> 61</span> matching_indexes.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/push_back.html">push_back</a>(i);</div>
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<div class="line"><span class="lineno"> 62</span> }</div>
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<div class="line"><span class="lineno"> 63</span> }</div>
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<div class="line"><span class="lineno"> 64</span> <span class="keywordflow">return</span> matching_indexes;</div>
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<div class="line"><span class="lineno"> 65</span>}</div>
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<div class="fragment"><div class="line"><span class="lineno"> 55</span> {</div>
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<div class="line"><span class="lineno"> 56</span> uint64_t text_length = text.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string/size.html">size</a>(), pattern_length = pattern.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string/size.html">size</a>();</div>
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<div class="line"><span class="lineno"> 57</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<uint64_t></a> z = <a class="code hl_function" href="#ac044c4794349a8cff6256b99950d5773">Z_function</a>(pattern + <span class="charliteral">'#'</span> + text);</div>
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<div class="line"><span class="lineno"> 58</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<uint64_t></a> matching_indexes;</div>
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<div class="line"><span class="lineno"> 59</span> </div>
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<div class="line"><span class="lineno"> 60</span> <span class="keywordflow">for</span> (uint64_t i = 0; i < text_length; i++) {</div>
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<div class="line"><span class="lineno"> 61</span> <span class="keywordflow">if</span> (z[i + pattern_length + 1] == pattern_length) {</div>
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<div class="line"><span class="lineno"> 62</span> matching_indexes.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/push_back.html">push_back</a>(i);</div>
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<div class="line"><span class="lineno"> 63</span> }</div>
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<div class="line"><span class="lineno"> 64</span> }</div>
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<div class="line"><span class="lineno"> 65</span> <span class="keywordflow">return</span> matching_indexes;</div>
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<div class="line"><span class="lineno"> 66</span>}</div>
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<div class="ttc" id="apush_back_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector/push_back.html">std::vector::push_back</a></div><div class="ttdeci">T push_back(T... args)</div></div>
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<div class="ttc" id="asize_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/string/basic_string/size.html">std::string::size</a></div><div class="ttdeci">T size(T... args)</div></div>
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<div class="ttc" id="avector_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a></div></div>
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<div class="ttc" id="az__function_8cpp_html_ac044c4794349a8cff6256b99950d5773"><div class="ttname"><a href="#ac044c4794349a8cff6256b99950d5773">Z_function</a></div><div class="ttdeci">std::vector< uint64_t > Z_function(const std::string &pattern)</div><div class="ttdoc">for IO operations</div><div class="ttdef"><b>Definition</b> z_function.cpp:28</div></div>
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<div class="ttc" id="az__function_8cpp_html_ac044c4794349a8cff6256b99950d5773"><div class="ttname"><a href="#ac044c4794349a8cff6256b99950d5773">Z_function</a></div><div class="ttdeci">std::vector< uint64_t > Z_function(const std::string &pattern)</div><div class="ttdoc">for IO operations</div><div class="ttdef"><b>Definition</b> z_function.cpp:29</div></div>
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</div><!-- fragment --><div class="dynheader">
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@@ -214,11 +215,11 @@ Here is the call graph for this function:</div>
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<p>Main function. </p>
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<dl class="section return"><dt>Returns</dt><dd>0 on exit </dd></dl>
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<div class="fragment"><div class="line"><span class="lineno"> 93</span> {</div>
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<div class="line"><span class="lineno"> 94</span> <a class="code hl_function" href="#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// run self-test implementations</span></div>
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<div class="line"><span class="lineno"> 95</span> <span class="keywordflow">return</span> 0;</div>
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<div class="line"><span class="lineno"> 96</span>}</div>
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<div class="ttc" id="az__function_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="#aa8dca7b867074164d5f45b0f3851269d">test</a></div><div class="ttdeci">static void test()</div><div class="ttdoc">Self-test implementations.</div><div class="ttdef"><b>Definition</b> z_function.cpp:71</div></div>
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<div class="fragment"><div class="line"><span class="lineno"> 94</span> {</div>
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<div class="line"><span class="lineno"> 95</span> <a class="code hl_function" href="#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// run self-test implementations</span></div>
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<div class="line"><span class="lineno"> 96</span> <span class="keywordflow">return</span> 0;</div>
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<div class="line"><span class="lineno"> 97</span>}</div>
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<div class="ttc" id="az__function_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="#aa8dca7b867074164d5f45b0f3851269d">test</a></div><div class="ttdeci">static void test()</div><div class="ttdoc">Self-test implementations.</div><div class="ttdef"><b>Definition</b> z_function.cpp:72</div></div>
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</div><!-- fragment --><div class="dynheader">
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@@ -252,25 +253,25 @@ Here is the call graph for this function:</div>
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<p>Self-test implementations. </p>
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<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
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<div class="fragment"><div class="line"><span class="lineno"> 71</span> {</div>
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<div class="line"><span class="lineno"> 72</span> <span class="comment">// usual case</span></div>
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<div class="line"><span class="lineno"> 73</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> text1 = <span class="stringliteral">"alskfjaldsabc1abc1abcbksbcdnsdabcabc"</span>;</div>
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<div class="line"><span class="lineno"> 74</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> pattern1 = <span class="stringliteral">"abc"</span>;</div>
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<div class="line"><span class="lineno"> 75</span> </div>
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<div class="line"><span class="lineno"> 76</span> <span class="comment">// matching_indexes1 gets the indexes where pattern1 exists in text1</span></div>
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<div class="line"><span class="lineno"> 77</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<uint64_t></a> matching_indexes1 = <a class="code hl_function" href="#ac186ca3ac3a69b5e52543bb13fe46db8">find_pat_in_text</a>(pattern1, text1);</div>
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<div class="line"><span class="lineno"> 78</span> assert((matching_indexes1 == <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<uint64_t></a>{10, 14, 18, 30, 33}));</div>
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<div class="line"><span class="lineno"> 79</span> </div>
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<div class="line"><span class="lineno"> 80</span> <span class="comment">// corner case</span></div>
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<div class="line"><span class="lineno"> 81</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> text2 = <span class="stringliteral">"greengrass"</span>;</div>
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<div class="line"><span class="lineno"> 82</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> pattern2 = <span class="stringliteral">"abc"</span>;</div>
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<div class="line"><span class="lineno"> 83</span> </div>
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<div class="line"><span class="lineno"> 84</span> <span class="comment">// matching_indexes2 gets the indexes where pattern2 exists in text2</span></div>
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<div class="line"><span class="lineno"> 85</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<uint64_t></a> matching_indexes2 = <a class="code hl_function" href="#ac186ca3ac3a69b5e52543bb13fe46db8">find_pat_in_text</a>(pattern2, text2);</div>
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<div class="line"><span class="lineno"> 86</span> assert((matching_indexes2 == <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<uint64_t></a>{}));</div>
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<div class="line"><span class="lineno"> 87</span>}</div>
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<div class="fragment"><div class="line"><span class="lineno"> 72</span> {</div>
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<div class="line"><span class="lineno"> 73</span> <span class="comment">// usual case</span></div>
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<div class="line"><span class="lineno"> 74</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> text1 = <span class="stringliteral">"alskfjaldsabc1abc1abcbksbcdnsdabcabc"</span>;</div>
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<div class="line"><span class="lineno"> 75</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> pattern1 = <span class="stringliteral">"abc"</span>;</div>
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<div class="line"><span class="lineno"> 76</span> </div>
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<div class="line"><span class="lineno"> 77</span> <span class="comment">// matching_indexes1 gets the indexes where pattern1 exists in text1</span></div>
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<div class="line"><span class="lineno"> 78</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<uint64_t></a> matching_indexes1 = <a class="code hl_function" href="#ac186ca3ac3a69b5e52543bb13fe46db8">find_pat_in_text</a>(pattern1, text1);</div>
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<div class="line"><span class="lineno"> 79</span> assert((matching_indexes1 == <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<uint64_t></a>{10, 14, 18, 30, 33}));</div>
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<div class="line"><span class="lineno"> 80</span> </div>
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<div class="line"><span class="lineno"> 81</span> <span class="comment">// corner case</span></div>
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<div class="line"><span class="lineno"> 82</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> text2 = <span class="stringliteral">"greengrass"</span>;</div>
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<div class="line"><span class="lineno"> 83</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> pattern2 = <span class="stringliteral">"abc"</span>;</div>
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<div class="line"><span class="lineno"> 84</span> </div>
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<div class="line"><span class="lineno"> 85</span> <span class="comment">// matching_indexes2 gets the indexes where pattern2 exists in text2</span></div>
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<div class="line"><span class="lineno"> 86</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<uint64_t></a> matching_indexes2 = <a class="code hl_function" href="#ac186ca3ac3a69b5e52543bb13fe46db8">find_pat_in_text</a>(pattern2, text2);</div>
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<div class="line"><span class="lineno"> 87</span> assert((matching_indexes2 == <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<uint64_t></a>{}));</div>
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<div class="line"><span class="lineno"> 88</span>}</div>
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<div class="ttc" id="abasic_string_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a></div></div>
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<div class="ttc" id="az__function_8cpp_html_ac186ca3ac3a69b5e52543bb13fe46db8"><div class="ttname"><a href="#ac186ca3ac3a69b5e52543bb13fe46db8">find_pat_in_text</a></div><div class="ttdeci">std::vector< uint64_t > find_pat_in_text(const std::string &pattern, const std::string &text)</div><div class="ttdoc">Using Z_function to find a pattern in a text.</div><div class="ttdef"><b>Definition</b> z_function.cpp:53</div></div>
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<div class="ttc" id="az__function_8cpp_html_ac186ca3ac3a69b5e52543bb13fe46db8"><div class="ttname"><a href="#ac186ca3ac3a69b5e52543bb13fe46db8">find_pat_in_text</a></div><div class="ttdeci">std::vector< uint64_t > find_pat_in_text(const std::string &pattern, const std::string &text)</div><div class="ttdoc">Using Z_function to find a pattern in a text.</div><div class="ttdef"><b>Definition</b> z_function.cpp:54</div></div>
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@@ -303,24 +304,24 @@ Here is the call graph for this function:</div>
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</dd>
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</dl>
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<dl class="section return"><dt>Returns</dt><dd>the Z-function output as a vector array </dd></dl>
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<div class="fragment"><div class="line"><span class="lineno"> 28</span> {</div>
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<div class="line"><span class="lineno"> 29</span> uint64_t pattern_length = pattern.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string/size.html">size</a>();</div>
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<div class="line"><span class="lineno"> 30</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<uint64_t></a> z(pattern_length, 0);</div>
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<div class="line"><span class="lineno"> 31</span> </div>
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<div class="line"><span class="lineno"> 32</span> <span class="keywordflow">for</span> (uint64_t i = 1, l = 0, r = 0; i < pattern_length; i++) {</div>
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<div class="line"><span class="lineno"> 33</span> <span class="keywordflow">if</span> (i <= r) {</div>
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<div class="line"><span class="lineno"> 34</span> z[i] = <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/min.html">std::min</a>(r - i + 1, z[i - l]);</div>
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<div class="line"><span class="lineno"> 35</span> }</div>
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<div class="line"><span class="lineno"> 36</span> <span class="keywordflow">while</span> (i + z[i] < pattern_length &&</div>
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<div class="line"><span class="lineno"> 37</span> pattern[z[i]] == pattern[i + z[i]]) {</div>
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<div class="line"><span class="lineno"> 38</span> z[i]++;</div>
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<div class="line"><span class="lineno"> 39</span> }</div>
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<div class="line"><span class="lineno"> 40</span> <span class="keywordflow">if</span> (i + z[i] - 1 > r) {</div>
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<div class="line"><span class="lineno"> 41</span> r = i + z[i] - 1;</div>
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<div class="line"><span class="lineno"> 42</span> }</div>
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<div class="line"><span class="lineno"> 43</span> }</div>
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<div class="line"><span class="lineno"> 44</span> <span class="keywordflow">return</span> z;</div>
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<div class="line"><span class="lineno"> 45</span>}</div>
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<div class="fragment"><div class="line"><span class="lineno"> 29</span> {</div>
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<div class="line"><span class="lineno"> 30</span> uint64_t pattern_length = pattern.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string/size.html">size</a>();</div>
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<div class="line"><span class="lineno"> 31</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<uint64_t></a> z(pattern_length, 0);</div>
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<div class="line"><span class="lineno"> 32</span> </div>
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<div class="line"><span class="lineno"> 33</span> <span class="keywordflow">for</span> (uint64_t i = 1, l = 0, r = 0; i < pattern_length; i++) {</div>
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<div class="line"><span class="lineno"> 34</span> <span class="keywordflow">if</span> (i <= r) {</div>
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<div class="line"><span class="lineno"> 35</span> z[i] = <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/min.html">std::min</a>(r - i + 1, z[i - l]);</div>
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<div class="line"><span class="lineno"> 36</span> }</div>
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<div class="line"><span class="lineno"> 37</span> <span class="keywordflow">while</span> (i + z[i] < pattern_length &&</div>
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<div class="line"><span class="lineno"> 38</span> pattern[z[i]] == pattern[i + z[i]]) {</div>
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<div class="line"><span class="lineno"> 39</span> z[i]++;</div>
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<div class="line"><span class="lineno"> 40</span> }</div>
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<div class="line"><span class="lineno"> 41</span> <span class="keywordflow">if</span> (i + z[i] - 1 > r) {</div>
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<div class="line"><span class="lineno"> 42</span> r = i + z[i] - 1;</div>
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<div class="line"><span class="lineno"> 43</span> }</div>
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<div class="line"><span class="lineno"> 44</span> }</div>
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<div class="line"><span class="lineno"> 45</span> <span class="keywordflow">return</span> z;</div>
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<div class="line"><span class="lineno"> 46</span>}</div>
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<div class="ttc" id="amin_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/algorithm/min.html">std::min</a></div><div class="ttdeci">T min(T... args)</div></div>
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Here is the call graph for this function:</div>
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