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<title>Algorithms_in_C++: strings/z_function.cpp File Reference</title>
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<div id="projectname">Algorithms_in_C++<span id="projectnumber">&#160;1.0.0</span>
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<div id="projectbrief">Set of algorithms implemented in C++.</div>
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@@ -167,21 +167,21 @@ Functions</h2></td></tr>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>a vector of starting indexes where pattern is found in the text </dd></dl>
<div class="fragment"><div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span> {</div>
<div class="line"><a id="l00055" name="l00055"></a><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>
<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;uint64_t&gt;</a> z = <a class="code hl_function" href="../../d3/d80/z__function_8cpp.html#ac044c4794349a8cff6256b99950d5773">Z_function</a>(pattern + <span class="charliteral">&#39;#&#39;</span> + text);</div>
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;uint64_t&gt;</a> matching_indexes;</div>
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> </div>
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> <span class="keywordflow">for</span> (uint64_t i = 0; i &lt; text_length; i++) {</div>
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span> <span class="keywordflow">if</span> (z[i + pattern_length + 1] == pattern_length) {</div>
<div class="line"><a id="l00061" name="l00061"></a><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>
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> }</div>
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> }</div>
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> <span class="keywordflow">return</span> matching_indexes;</div>
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span>}</div>
<div class="fragment"><div class="line"><span class="lineno"> 54</span> {</div>
<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>
<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&lt;uint64_t&gt;</a> z = <a class="code hl_function" href="../../d3/d80/z__function_8cpp.html#ac044c4794349a8cff6256b99950d5773">Z_function</a>(pattern + <span class="charliteral">&#39;#&#39;</span> + text);</div>
<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&lt;uint64_t&gt;</a> matching_indexes;</div>
<div class="line"><span class="lineno"> 58</span> </div>
<div class="line"><span class="lineno"> 59</span> <span class="keywordflow">for</span> (uint64_t i = 0; i &lt; text_length; i++) {</div>
<div class="line"><span class="lineno"> 60</span> <span class="keywordflow">if</span> (z[i + pattern_length + 1] == pattern_length) {</div>
<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>
<div class="line"><span class="lineno"> 62</span> }</div>
<div class="line"><span class="lineno"> 63</span> }</div>
<div class="line"><span class="lineno"> 64</span> <span class="keywordflow">return</span> matching_indexes;</div>
<div class="line"><span class="lineno"> 65</span>}</div>
<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>
<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>
<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>
<div class="ttc" id="avector_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt; uint64_t &gt;</a></div></div>
<div class="ttc" id="az__function_8cpp_html_ac044c4794349a8cff6256b99950d5773"><div class="ttname"><a href="../../d3/d80/z__function_8cpp.html#ac044c4794349a8cff6256b99950d5773">Z_function</a></div><div class="ttdeci">std::vector&lt; uint64_t &gt; Z_function(const std::string &amp;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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<p>Main function. </p>
<dl class="section return"><dt>Returns</dt><dd>0 on exit </dd></dl>
<div class="fragment"><div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span> {</div>
<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> <a class="code hl_function" href="../../d3/d80/z__function_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// run self-test implementations</span></div>
<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span>}</div>
<div class="fragment"><div class="line"><span class="lineno"> 93</span> {</div>
<div class="line"><span class="lineno"> 94</span> <a class="code hl_function" href="../../d3/d80/z__function_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// run self-test implementations</span></div>
<div class="line"><span class="lineno"> 95</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 96</span>}</div>
<div class="ttc" id="az__function_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="../../d3/d80/z__function_8cpp.html#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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<p>Self-test implementations. </p>
<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
<div class="fragment"><div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span> {</div>
<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span> <span class="comment">// usual case</span></div>
<div class="line"><a id="l00073" name="l00073"></a><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">&quot;alskfjaldsabc1abc1abcbksbcdnsdabcabc&quot;</span>;</div>
<div class="line"><a id="l00074" name="l00074"></a><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">&quot;abc&quot;</span>;</div>
<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span> </div>
<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> <span class="comment">// matching_indexes1 gets the indexes where pattern1 exists in text1</span></div>
<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;uint64_t&gt;</a> matching_indexes1 = <a class="code hl_function" href="../../d3/d80/z__function_8cpp.html#ac186ca3ac3a69b5e52543bb13fe46db8">find_pat_in_text</a>(pattern1, text1);</div>
<div class="line"><a id="l00078" name="l00078"></a><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&lt;uint64_t&gt;</a>{10, 14, 18, 30, 33}));</div>
<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span> </div>
<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> <span class="comment">// corner case</span></div>
<div class="line"><a id="l00081" name="l00081"></a><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">&quot;greengrass&quot;</span>;</div>
<div class="line"><a id="l00082" name="l00082"></a><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">&quot;abc&quot;</span>;</div>
<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> </div>
<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> <span class="comment">// matching_indexes2 gets the indexes where pattern2 exists in text2</span></div>
<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;uint64_t&gt;</a> matching_indexes2 = <a class="code hl_function" href="../../d3/d80/z__function_8cpp.html#ac186ca3ac3a69b5e52543bb13fe46db8">find_pat_in_text</a>(pattern2, text2);</div>
<div class="line"><a id="l00086" name="l00086"></a><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&lt;uint64_t&gt;</a>{}));</div>
<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span>}</div>
<div class="fragment"><div class="line"><span class="lineno"> 71</span> {</div>
<div class="line"><span class="lineno"> 72</span> <span class="comment">// usual case</span></div>
<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">&quot;alskfjaldsabc1abc1abcbksbcdnsdabcabc&quot;</span>;</div>
<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">&quot;abc&quot;</span>;</div>
<div class="line"><span class="lineno"> 75</span> </div>
<div class="line"><span class="lineno"> 76</span> <span class="comment">// matching_indexes1 gets the indexes where pattern1 exists in text1</span></div>
<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&lt;uint64_t&gt;</a> matching_indexes1 = <a class="code hl_function" href="../../d3/d80/z__function_8cpp.html#ac186ca3ac3a69b5e52543bb13fe46db8">find_pat_in_text</a>(pattern1, text1);</div>
<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&lt;uint64_t&gt;</a>{10, 14, 18, 30, 33}));</div>
<div class="line"><span class="lineno"> 79</span> </div>
<div class="line"><span class="lineno"> 80</span> <span class="comment">// corner case</span></div>
<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">&quot;greengrass&quot;</span>;</div>
<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">&quot;abc&quot;</span>;</div>
<div class="line"><span class="lineno"> 83</span> </div>
<div class="line"><span class="lineno"> 84</span> <span class="comment">// matching_indexes2 gets the indexes where pattern2 exists in text2</span></div>
<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&lt;uint64_t&gt;</a> matching_indexes2 = <a class="code hl_function" href="../../d3/d80/z__function_8cpp.html#ac186ca3ac3a69b5e52543bb13fe46db8">find_pat_in_text</a>(pattern2, text2);</div>
<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&lt;uint64_t&gt;</a>{}));</div>
<div class="line"><span class="lineno"> 87</span>}</div>
<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>
<div class="ttc" id="az__function_8cpp_html_ac186ca3ac3a69b5e52543bb13fe46db8"><div class="ttname"><a href="../../d3/d80/z__function_8cpp.html#ac186ca3ac3a69b5e52543bb13fe46db8">find_pat_in_text</a></div><div class="ttdeci">std::vector&lt; uint64_t &gt; find_pat_in_text(const std::string &amp;pattern, const std::string &amp;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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@@ -302,24 +302,24 @@ Here is the call graph for this function:</div>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>the Z-function output as a vector array </dd></dl>
<div class="fragment"><div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span> {</div>
<div class="line"><a id="l00029" name="l00029"></a><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>
<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;uint64_t&gt;</a> z(pattern_length, 0);</div>
<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span> </div>
<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span> <span class="keywordflow">for</span> (uint64_t i = 1, l = 0, r = 0; i &lt; pattern_length; i++) {</div>
<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span> <span class="keywordflow">if</span> (i &lt;= r) {</div>
<div class="line"><a id="l00034" name="l00034"></a><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>
<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span> }</div>
<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span> <span class="keywordflow">while</span> (i + z[i] &lt; pattern_length &amp;&amp;</div>
<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span> pattern[z[i]] == pattern[i + z[i]]) {</div>
<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span> z[i]++;</div>
<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span> }</div>
<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span> <span class="keywordflow">if</span> (i + z[i] - 1 &gt; r) {</div>
<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span> r = i + z[i] - 1;</div>
<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span> }</div>
<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span> }</div>
<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span> <span class="keywordflow">return</span> z;</div>
<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span>}</div>
<div class="fragment"><div class="line"><span class="lineno"> 28</span> {</div>
<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>
<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&lt;uint64_t&gt;</a> z(pattern_length, 0);</div>
<div class="line"><span class="lineno"> 31</span> </div>
<div class="line"><span class="lineno"> 32</span> <span class="keywordflow">for</span> (uint64_t i = 1, l = 0, r = 0; i &lt; pattern_length; i++) {</div>
<div class="line"><span class="lineno"> 33</span> <span class="keywordflow">if</span> (i &lt;= r) {</div>
<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>
<div class="line"><span class="lineno"> 35</span> }</div>
<div class="line"><span class="lineno"> 36</span> <span class="keywordflow">while</span> (i + z[i] &lt; pattern_length &amp;&amp;</div>
<div class="line"><span class="lineno"> 37</span> pattern[z[i]] == pattern[i + z[i]]) {</div>
<div class="line"><span class="lineno"> 38</span> z[i]++;</div>
<div class="line"><span class="lineno"> 39</span> }</div>
<div class="line"><span class="lineno"> 40</span> <span class="keywordflow">if</span> (i + z[i] - 1 &gt; r) {</div>
<div class="line"><span class="lineno"> 41</span> r = i + z[i] - 1;</div>
<div class="line"><span class="lineno"> 42</span> }</div>
<div class="line"><span class="lineno"> 43</span> }</div>
<div class="line"><span class="lineno"> 44</span> <span class="keywordflow">return</span> z;</div>
<div class="line"><span class="lineno"> 45</span>}</div>
<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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