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<div class="title">hill_cipher.cpp File Reference</div> </div>
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<p>Implementation of <a href="https://en.wikipedia.org/wiki/Hill_cipher">Hill cipher</a> algorithm.
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &lt;cassert&gt;</code><br />
<code>#include &lt;cmath&gt;</code><br />
<code>#include &lt;cstring&gt;</code><br />
<code>#include &lt;ctime&gt;</code><br />
<code>#include &lt;fstream&gt;</code><br />
<code>#include &lt;iomanip&gt;</code><br />
<code>#include &lt;iostream&gt;</code><br />
<code>#include &lt;string&gt;</code><br />
<code>#include &quot;<a class="el" href="../../d1/dbe/lu__decomposition_8h_source.html">../numerical_methods/lu_decomposition.h</a>&quot;</code><br />
</div><div class="textblock"><div class="dynheader">
Include dependency graph for hill_cipher.cpp:</div>
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Classes</h2></td></tr>
<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d6/d26/classciphers_1_1_hill_cipher.html">ciphers::HillCipher</a></td></tr>
<tr class="memdesc:"><td class="mdescLeft">&#160;</td><td class="mdescRight">Implementation of <a href="https://en.wikipedia.org/wiki/Hill_cipher">Hill Cipher</a> algorithm. <a href="../../d6/d26/classciphers_1_1_hill_cipher.html#details">More...</a><br /></td></tr>
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<tr class="memdesc:d6/d4e/namespaceciphers"><td class="mdescLeft">&#160;</td><td class="mdescRight">Algorithms for encryption and decryption. <br /></td></tr>
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Functions</h2></td></tr>
<tr class="memitem:aeff09ac6b8f060c828354394a3189519"><td class="memTemplParams" colspan="2">template&lt;typename T &gt; </td></tr>
<tr class="memitem:aeff09ac6b8f060c828354394a3189519"><td class="memTemplItemLeft" align="right" valign="top">static <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::ostream</a> &amp;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../d7/db9/hill__cipher_8cpp.html#aeff09ac6b8f060c828354394a3189519">operator&lt;&lt;</a> (<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::ostream</a> &amp;out, <a class="el" href="../../d1/dbe/lu__decomposition_8h.html#aed8766713ee9b561a4acdcdff5f90ea5">matrix</a>&lt; T &gt; const &amp;v)</td></tr>
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<tr class="memitem:a3147ad576f8a94a2a6b66948672b452b"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d7/db9/hill__cipher_8cpp.html#a3147ad576f8a94a2a6b66948672b452b">test1</a> (const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> &amp;text)</td></tr>
<tr class="memdesc:a3147ad576f8a94a2a6b66948672b452b"><td class="mdescLeft">&#160;</td><td class="mdescRight">Self test 1 - using 3x3 randomly generated key. <a href="../../d7/db9/hill__cipher_8cpp.html#a3147ad576f8a94a2a6b66948672b452b">More...</a><br /></td></tr>
<tr class="separator:a3147ad576f8a94a2a6b66948672b452b"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a04391124480d2a49f2dec900237b0712"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d7/db9/hill__cipher_8cpp.html#a04391124480d2a49f2dec900237b0712">test2</a> (const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> &amp;text)</td></tr>
<tr class="memdesc:a04391124480d2a49f2dec900237b0712"><td class="mdescLeft">&#160;</td><td class="mdescRight">Self test 2 - using 8x8 randomly generated key. <a href="../../d7/db9/hill__cipher_8cpp.html#a04391124480d2a49f2dec900237b0712">More...</a><br /></td></tr>
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<tr class="memitem:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d7/db9/hill__cipher_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a> ()</td></tr>
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Variables</h2></td></tr>
<tr class="memitem:ab9aec0ccf4b6809f652bb540be87c216"><td class="memItemLeft" align="right" valign="top">static const char *&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d6/d4e/namespaceciphers.html#ab9aec0ccf4b6809f652bb540be87c216">ciphers::STRKEY</a></td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p>Implementation of <a href="https://en.wikipedia.org/wiki/Hill_cipher">Hill cipher</a> algorithm. </p>
<p>Program to generate the encryption-decryption key and perform encryption and decryption of ASCII text using the famous block cipher algorithm. This is a powerful encryption algorithm that is relatively easy to implement with a given key. The strength of the algorithm depends on the size of the block encryption matrix key; the bigger the matrix, the stronger the encryption and more difficult to break it. However, the important requirement for the matrix is that:</p><ol type="1">
<li>matrix should be invertible - all inversion conditions should be satisfied and</li>
<li>its determinant must not have any common factors with the length of character set Due to this restriction, most implementations only implement with small 3x3 encryption keys and a small subset of ASCII alphabets.</li>
</ol>
<p>In the current implementation, I present to you an implementation for generating larger encryption keys (I have attempted upto 10x10) and an ASCII character set of 97 printable characters. Hence, a typical ASCII text file could be easily encrypted with the module. The larger character set increases the modulo of cipher and hence the matrix determinants can get very large very quickly rendering them ill-defined.</p>
<dl class="section note"><dt>Note</dt><dd>This program uses determinant computation using LU decomposition from the file lu_decomposition.h </dd>
<dd>
The matrix generation algorithm is very rudimentary and does not guarantee an invertible modulus matrix. </dd></dl>
<dl class="todo"><dt><b><a class="el" href="../../dd/da0/todo.html#_todo000001">Todo:</a></b></dt><dd>Better matrix generation algorithm.</dd></dl>
<dl class="section author"><dt>Author</dt><dd><a href="https://github.com/kvedala">Krishna Vedala</a> </dd></dl>
</div><h2 class="groupheader">Function Documentation</h2>
<a id="ae66f6b31b5ad750f1fe042a706a4e3d4"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ae66f6b31b5ad750f1fe042a706a4e3d4">&#9670;&nbsp;</a></span>main()</h2>
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<p>Main function </p>
<div class="fragment"><div class="line"><a name="l00532"></a><span class="lineno"> 532</span>&#160; {</div>
<div class="line"><a name="l00533"></a><span class="lineno"> 533</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/random/srand.html">std::srand</a>(<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/chrono/c/time.html">std::time</a>(<span class="keyword">nullptr</span>));</div>
<div class="line"><a name="l00534"></a><span class="lineno"> 534</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Key dictionary: (&quot;</span> &lt;&lt; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/byte/strlen.html">std::strlen</a>(<a class="code" href="../../d6/d4e/namespaceciphers.html#ab9aec0ccf4b6809f652bb540be87c216">ciphers::STRKEY</a>) &lt;&lt; <span class="stringliteral">&quot;)\n\t&quot;</span></div>
<div class="line"><a name="l00535"></a><span class="lineno"> 535</span>&#160; &lt;&lt; <a class="code" href="../../d6/d4e/namespaceciphers.html#ab9aec0ccf4b6809f652bb540be87c216">ciphers::STRKEY</a> &lt;&lt; <span class="stringliteral">&quot;\n&quot;</span>;</div>
<div class="line"><a name="l00536"></a><span class="lineno"> 536</span>&#160; </div>
<div class="line"><a name="l00537"></a><span class="lineno"> 537</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> text = <span class="stringliteral">&quot;This is a simple text with numb3r5 and exclamat!0n.&quot;</span>;</div>
<div class="line"><a name="l00538"></a><span class="lineno"> 538</span>&#160; </div>
<div class="line"><a name="l00539"></a><span class="lineno"> 539</span>&#160; <a class="code" href="../../d7/db9/hill__cipher_8cpp.html#a3147ad576f8a94a2a6b66948672b452b">test1</a>(text);</div>
<div class="line"><a name="l00540"></a><span class="lineno"> 540</span>&#160; <a class="code" href="../../d7/db9/hill__cipher_8cpp.html#a04391124480d2a49f2dec900237b0712">test2</a>(text);</div>
<div class="line"><a name="l00541"></a><span class="lineno"> 541</span>&#160; </div>
<div class="line"><a name="l00542"></a><span class="lineno"> 542</span>&#160; <span class="keywordflow">return</span> 0;</div>
<div class="line"><a name="l00543"></a><span class="lineno"> 543</span>&#160;}</div>
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<h2 class="memtitle"><span class="permalink"><a href="#aeff09ac6b8f060c828354394a3189519">&#9670;&nbsp;</a></span>operator&lt;&lt;()</h2>
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template&lt;typename T &gt; </div>
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<td class="paramtype"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::ostream</a> &amp;&#160;</td>
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<td class="paramkey"></td>
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<td class="paramtype"><a class="el" href="../../d1/dbe/lu__decomposition_8h.html#aed8766713ee9b561a4acdcdff5f90ea5">matrix</a>&lt; T &gt; const &amp;&#160;</td>
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<p>operator to print a matrix </p>
<div class="fragment"><div class="line"><a name="l00054"></a><span class="lineno"> 54</span>&#160; {</div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>&#160; <span class="keyword">const</span> <span class="keywordtype">int</span> width = 15;</div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>&#160; <span class="keyword">const</span> <span class="keywordtype">char</span> separator = <span class="charliteral">&#39; &#39;</span>;</div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>&#160; </div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> row = 0; row &lt; v.size(); row++) {</div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> col = 0; col &lt; v[row].size(); col++)</div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>&#160; out &lt;&lt; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/left.html">std::left</a> &lt;&lt; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/setw.html">std::setw</a>(width) &lt;&lt; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/setfill.html">std::setfill</a>(separator)</div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>&#160; &lt;&lt; v[row][col];</div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>&#160; out &lt;&lt; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>&#160; }</div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>&#160; </div>
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<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>&#160;}</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a3147ad576f8a94a2a6b66948672b452b">&#9670;&nbsp;</a></span>test1()</h2>
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<td class="memname">void test1 </td>
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<td class="paramtype">const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> &amp;&#160;</td>
<td class="paramname"><em>text</em></td><td>)</td>
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<p>Self test 1 - using 3x3 randomly generated key. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">text</td><td>string to encrypt and decrypt </td></tr>
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</dd>
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<div class="fragment"><div class="line"><a name="l00470"></a><span class="lineno"> 470</span>&#160; {</div>
<div class="line"><a name="l00471"></a><span class="lineno"> 471</span>&#160; <span class="comment">// std::string text = &quot;Hello world!&quot;;</span></div>
<div class="line"><a name="l00472"></a><span class="lineno"> 472</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;======Test 1 (3x3 key) ======\nOriginal text:\n\t&quot;</span> &lt;&lt; text</div>
<div class="line"><a name="l00473"></a><span class="lineno"> 473</span>&#160; &lt;&lt; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a name="l00474"></a><span class="lineno"> 474</span>&#160; </div>
<div class="line"><a name="l00475"></a><span class="lineno"> 475</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/utility/pair.html">std::pair&lt;matrix&lt;int&gt;</a>, <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">matrix&lt;int&gt;</a>&gt; p =</div>
<div class="line"><a name="l00476"></a><span class="lineno"> 476</span>&#160; <a class="code" href="../../d6/d26/classciphers_1_1_hill_cipher.html#a14bfcd14af6cd853130cbacd32e35c13">ciphers::HillCipher::generate_keys</a>(3, 0, 100);</div>
<div class="line"><a name="l00477"></a><span class="lineno"> 477</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">matrix&lt;int&gt;</a> ekey = p.first;</div>
<div class="line"><a name="l00478"></a><span class="lineno"> 478</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">matrix&lt;int&gt;</a> dkey = p.second;</div>
<div class="line"><a name="l00479"></a><span class="lineno"> 479</span>&#160; </div>
<div class="line"><a name="l00480"></a><span class="lineno"> 480</span>&#160; <span class="comment">// matrix&lt;int&gt; ekey = {{22, 28, 25}, {5, 26, 15}, {14, 18, 9}};</span></div>
<div class="line"><a name="l00481"></a><span class="lineno"> 481</span>&#160; <span class="comment">// std::cout &lt;&lt; &quot;Encryption key: \n&quot; &lt;&lt; ekey;</span></div>
<div class="line"><a name="l00482"></a><span class="lineno"> 482</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> gibberish = <a class="code" href="../../d6/d26/classciphers_1_1_hill_cipher.html#aa8bbb6e4a5749f6008b06602d5103917">ciphers::HillCipher::encrypt_text</a>(text, ekey);</div>
<div class="line"><a name="l00483"></a><span class="lineno"> 483</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Encrypted text:\n\t&quot;</span> &lt;&lt; gibberish &lt;&lt; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a name="l00484"></a><span class="lineno"> 484</span>&#160; </div>
<div class="line"><a name="l00485"></a><span class="lineno"> 485</span>&#160; <span class="comment">// matrix&lt;int&gt; dkey = ciphers::HillCipher::generate_decryption_key(ekey);</span></div>
<div class="line"><a name="l00486"></a><span class="lineno"> 486</span>&#160; <span class="comment">// std::cout &lt;&lt; &quot;Decryption key: \n&quot; &lt;&lt; dkey;</span></div>
<div class="line"><a name="l00487"></a><span class="lineno"> 487</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> txt_back = <a class="code" href="../../d6/d26/classciphers_1_1_hill_cipher.html#a427acfac1dbff3f48a2b071d449d965b">ciphers::HillCipher::decrypt_text</a>(gibberish, dkey);</div>
<div class="line"><a name="l00488"></a><span class="lineno"> 488</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Reconstruct text:\n\t&quot;</span> &lt;&lt; txt_back &lt;&lt; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a name="l00489"></a><span class="lineno"> 489</span>&#160; </div>
<div class="line"><a name="l00490"></a><span class="lineno"> 490</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ofstream.html">std::ofstream</a> out_file(<span class="stringliteral">&quot;hill_cipher_test1.txt&quot;</span>);</div>
<div class="line"><a name="l00491"></a><span class="lineno"> 491</span>&#160; out_file &lt;&lt; <span class="stringliteral">&quot;Block size: &quot;</span> &lt;&lt; ekey.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>() &lt;&lt; <span class="stringliteral">&quot;\n&quot;</span>;</div>
<div class="line"><a name="l00492"></a><span class="lineno"> 492</span>&#160; out_file &lt;&lt; <span class="stringliteral">&quot;Encryption Key:\n&quot;</span> &lt;&lt; ekey;</div>
<div class="line"><a name="l00493"></a><span class="lineno"> 493</span>&#160; out_file &lt;&lt; <span class="stringliteral">&quot;\nDecryption Key:\n&quot;</span> &lt;&lt; dkey;</div>
<div class="line"><a name="l00494"></a><span class="lineno"> 494</span>&#160; out_file.close();</div>
<div class="line"><a name="l00495"></a><span class="lineno"> 495</span>&#160; </div>
<div class="line"><a name="l00496"></a><span class="lineno"> 496</span>&#160; assert(txt_back == text);</div>
<div class="line"><a name="l00497"></a><span class="lineno"> 497</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Passed :)\n&quot;</span>;</div>
<div class="line"><a name="l00498"></a><span class="lineno"> 498</span>&#160;}</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a04391124480d2a49f2dec900237b0712">&#9670;&nbsp;</a></span>test2()</h2>
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<td class="memname">void test2 </td>
<td>(</td>
<td class="paramtype">const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> &amp;&#160;</td>
<td class="paramname"><em>text</em></td><td>)</td>
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<p>Self test 2 - using 8x8 randomly generated key. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">text</td><td>string to encrypt and decrypt </td></tr>
</table>
</dd>
</dl>
<div class="fragment"><div class="line"><a name="l00505"></a><span class="lineno"> 505</span>&#160; {</div>
<div class="line"><a name="l00506"></a><span class="lineno"> 506</span>&#160; <span class="comment">// std::string text = &quot;Hello world!&quot;;</span></div>
<div class="line"><a name="l00507"></a><span class="lineno"> 507</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;======Test 2 (8x8 key) ======\nOriginal text:\n\t&quot;</span> &lt;&lt; text</div>
<div class="line"><a name="l00508"></a><span class="lineno"> 508</span>&#160; &lt;&lt; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a name="l00509"></a><span class="lineno"> 509</span>&#160; </div>
<div class="line"><a name="l00510"></a><span class="lineno"> 510</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/utility/pair.html">std::pair&lt;matrix&lt;int&gt;</a>, <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">matrix&lt;int&gt;</a>&gt; p =</div>
<div class="line"><a name="l00511"></a><span class="lineno"> 511</span>&#160; <a class="code" href="../../d6/d26/classciphers_1_1_hill_cipher.html#a14bfcd14af6cd853130cbacd32e35c13">ciphers::HillCipher::generate_keys</a>(8, 0, 3);</div>
<div class="line"><a name="l00512"></a><span class="lineno"> 512</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">matrix&lt;int&gt;</a> ekey = p.first;</div>
<div class="line"><a name="l00513"></a><span class="lineno"> 513</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">matrix&lt;int&gt;</a> dkey = p.second;</div>
<div class="line"><a name="l00514"></a><span class="lineno"> 514</span>&#160; </div>
<div class="line"><a name="l00515"></a><span class="lineno"> 515</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> gibberish = <a class="code" href="../../d6/d26/classciphers_1_1_hill_cipher.html#aa8bbb6e4a5749f6008b06602d5103917">ciphers::HillCipher::encrypt_text</a>(text, ekey);</div>
<div class="line"><a name="l00516"></a><span class="lineno"> 516</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Encrypted text:\n\t&quot;</span> &lt;&lt; gibberish &lt;&lt; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a name="l00517"></a><span class="lineno"> 517</span>&#160; </div>
<div class="line"><a name="l00518"></a><span class="lineno"> 518</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> txt_back = <a class="code" href="../../d6/d26/classciphers_1_1_hill_cipher.html#a427acfac1dbff3f48a2b071d449d965b">ciphers::HillCipher::decrypt_text</a>(gibberish, dkey);</div>
<div class="line"><a name="l00519"></a><span class="lineno"> 519</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Reconstruct text:\n\t&quot;</span> &lt;&lt; txt_back &lt;&lt; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a name="l00520"></a><span class="lineno"> 520</span>&#160; </div>
<div class="line"><a name="l00521"></a><span class="lineno"> 521</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ofstream.html">std::ofstream</a> out_file(<span class="stringliteral">&quot;hill_cipher_test2.txt&quot;</span>);</div>
<div class="line"><a name="l00522"></a><span class="lineno"> 522</span>&#160; out_file &lt;&lt; <span class="stringliteral">&quot;Block size: &quot;</span> &lt;&lt; ekey.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>() &lt;&lt; <span class="stringliteral">&quot;\n&quot;</span>;</div>
<div class="line"><a name="l00523"></a><span class="lineno"> 523</span>&#160; out_file &lt;&lt; <span class="stringliteral">&quot;Encryption Key:\n&quot;</span> &lt;&lt; ekey;</div>
<div class="line"><a name="l00524"></a><span class="lineno"> 524</span>&#160; out_file &lt;&lt; <span class="stringliteral">&quot;\nDecryption Key:\n&quot;</span> &lt;&lt; dkey;</div>
<div class="line"><a name="l00525"></a><span class="lineno"> 525</span>&#160; out_file.close();</div>
<div class="line"><a name="l00526"></a><span class="lineno"> 526</span>&#160; </div>
<div class="line"><a name="l00527"></a><span class="lineno"> 527</span>&#160; assert(txt_back.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string/compare.html">compare</a>(0, text.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string/size.html">size</a>(), text) == 0);</div>
<div class="line"><a name="l00528"></a><span class="lineno"> 528</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Passed :)\n&quot;</span>;</div>
<div class="line"><a name="l00529"></a><span class="lineno"> 529</span>&#160;}</div>
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<div class="ttc" id="aaddition__rule_8cpp_html_a565ffcbbdbe496ced37250bc8dc36bc0"><div class="ttname"><a href="../../d6/d4a/addition__rule_8cpp.html#a565ffcbbdbe496ced37250bc8dc36bc0">addition_rule_dependent</a></div><div class="ttdeci">double addition_rule_dependent(double A, double B, double B_given_A)</div><div class="ttdef"><b>Definition:</b> addition_rule.cpp:25</div></div>
<div class="ttc" id="asmallest__circle_8cpp_html_a0283886819c7c140a023582b7269e2d0"><div class="ttname"><a href="../../d0/d01/smallest__circle_8cpp.html#a0283886819c7c140a023582b7269e2d0">test2</a></div><div class="ttdeci">void test2()</div><div class="ttdef"><b>Definition:</b> smallest_circle.cpp:173</div></div>
<div class="ttc" id="apair_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/utility/pair.html">std::pair</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</a></div><div class="ttdoc">STL class.</div></div>
<div class="ttc" id="asize_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector/size.html">std::vector::size</a></div><div class="ttdeci">T size(T... args)</div></div>
<div class="ttc" id="astruct_point_html_ab99c56589bc8ad5fa5071387110a5bc7"><div class="ttname"><a href="../../d8/dc8/struct_point.html#ab99c56589bc8ad5fa5071387110a5bc7">Point::x</a></div><div class="ttdeci">double x</div><div class="ttdef"><b>Definition:</b> smallest_circle.cpp:16</div></div>
<div class="ttc" id="adecimal__to__roman__numeral_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../de/d85/decimal__to__roman__numeral_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdef"><b>Definition:</b> decimal_to_roman_numeral.cpp:90</div></div>
<div class="ttc" id="aclass_fenwick_tree_html_a115ff5c548b429b737ea09f75817d1f9"><div class="ttname"><a href="../../dd/d91/class_fenwick_tree.html#a115ff5c548b429b737ea09f75817d1f9">FenwickTree::sum_range</a></div><div class="ttdeci">int sum_range(int l, int r)</div><div class="ttdef"><b>Definition:</b> fenwick_tree.cpp:65</div></div>
<div class="ttc" id="aheap__sort_8cpp_html_ae1a3968e7947464bee7714f6d43b7002"><div class="ttname"><a href="../../d2/d52/heap__sort_8cpp.html#ae1a3968e7947464bee7714f6d43b7002">test</a></div><div class="ttdeci">void test()</div><div class="ttdef"><b>Definition:</b> heap_sort.cpp:99</div></div>
<div class="ttc" id="aternary__search_8cpp_html_ae01eda5098801bb6b5b778828fb4fddc"><div class="ttname"><a href="../../dc/dfe/ternary__search_8cpp.html#ae01eda5098801bb6b5b778828fb4fddc">absolutePrecision</a></div><div class="ttdeci">#define absolutePrecision</div><div class="ttdef"><b>Definition:</b> ternary_search.cpp:22</div></div>
<div class="ttc" id="amatrix__exponentiation_8cpp_html_ad8389ed58fd0ec66df248014775ad1fa"><div class="ttname"><a href="../../d7/d35/matrix__exponentiation_8cpp.html#ad8389ed58fd0ec66df248014775ad1fa">ans</a></div><div class="ttdeci">ll ans(ll n)</div><div class="ttdef"><b>Definition:</b> matrix_exponentiation.cpp:91</div></div>
<div class="ttc" id="aclass_fenwick_tree_html"><div class="ttname"><a href="../../dd/d91/class_fenwick_tree.html">FenwickTree</a></div><div class="ttdef"><b>Definition:</b> fenwick_tree.cpp:17</div></div>
<div class="ttc" id="asieve__of__eratosthenes_8cpp_html_af50a5c87d27cfd3462745b37fb9b0f46"><div class="ttname"><a href="../../d8/ddf/sieve__of__eratosthenes_8cpp.html#af50a5c87d27cfd3462745b37fb9b0f46">print</a></div><div class="ttdeci">void print(uint32_t N)</div><div class="ttdef"><b>Definition:</b> sieve_of_eratosthenes.cpp:40</div></div>
<div class="ttc" id="ahash__search_8cpp_html_a77c722016053a1d484aa177ce205b367"><div class="ttname"><a href="../../d1/df3/hash__search_8cpp.html#a77c722016053a1d484aa177ce205b367">HASHMAX</a></div><div class="ttdeci">#define HASHMAX</div><div class="ttdoc">Determines the length of the hash table.</div><div class="ttdef"><b>Definition:</b> hash_search.cpp:22</div></div>
<div class="ttc" id="arabin__karp_8cpp_html_ac4add2a227a10511e0128d63952030e8"><div class="ttname"><a href="../../d6/dce/rabin__karp_8cpp.html#ac4add2a227a10511e0128d63952030e8">PRIME</a></div><div class="ttdeci">#define PRIME</div><div class="ttdoc">Prime modulus for hash functions.</div><div class="ttdef"><b>Definition:</b> rabin_karp.cpp:16</div></div>
<div class="ttc" id="anamespacesorting_html_a7e7f25f31c50523990437abf2ac3907e"><div class="ttname"><a href="../../d5/d91/namespacesorting.html#a7e7f25f31c50523990437abf2ac3907e">sorting::partition</a></div><div class="ttdeci">int partition(int arr[], int low, int high)</div><div class="ttdef"><b>Definition:</b> quick_sort.cpp:37</div></div>
<div class="ttc" id="adistance_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/iterator/distance.html">std::distance</a></div><div class="ttdeci">T distance(T... args)</div></div>
<div class="ttc" id="aexponential__search_8cpp_html_a0f697e2a3b5193324ab84bd4045088f7"><div class="ttname"><a href="../../d8/d8a/exponential__search_8cpp.html#a0f697e2a3b5193324ab84bd4045088f7">binary_s</a></div><div class="ttdeci">Type * binary_s(Type *array, size_t size, Type key)</div><div class="ttdef"><b>Definition:</b> exponential_search.cpp:34</div></div>
<div class="ttc" id="astructnode_html"><div class="ttname"><a href="../../d5/da1/structnode.html">node</a></div><div class="ttdef"><b>Definition:</b> avltree.cpp:13</div></div>
<div class="ttc" id="astruct_point_html_afa38be143ae800e6ad69ce8ed4df62d8"><div class="ttname"><a href="../../d8/dc8/struct_point.html#afa38be143ae800e6ad69ce8ed4df62d8">Point::y</a></div><div class="ttdeci">double y</div><div class="ttdef"><b>Definition:</b> smallest_circle.cpp:17</div></div>
<div class="ttc" id="asearch_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/algorithm/search.html">std::search</a></div><div class="ttdeci">T search(T... args)</div></div>
<div class="ttc" id="ahash__search_8cpp_html_a8ca8dcb494104d273679e219e53d0555"><div class="ttname"><a href="../../d1/df3/hash__search_8cpp.html#a8ca8dcb494104d273679e219e53d0555">node</a></div><div class="ttdeci">struct list node</div></div>
<div class="ttc" id="acomb__sort_8cpp_html_aede08143e63105faba10e9ee8e745fd5"><div class="ttname"><a href="../../d9/dfd/comb__sort_8cpp.html#aede08143e63105faba10e9ee8e745fd5">FindNextGap</a></div><div class="ttdeci">int FindNextGap(int gap)</div><div class="ttdef"><b>Definition:</b> comb_sort.cpp:29</div></div>
<div class="ttc" id="ahash__search_8cpp_html_a392fb874e547e582e9c66a08a1f23326"><div class="ttname"><a href="../../d1/df3/hash__search_8cpp.html#a392fb874e547e582e9c66a08a1f23326">MAX</a></div><div class="ttdeci">#define MAX</div><div class="ttdoc">Determines how much data.</div><div class="ttdef"><b>Definition:</b> hash_search.cpp:21</div></div>
<div class="ttc" id="apascal__triangle_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../dc/d1a/pascal__triangle_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdef"><b>Definition:</b> pascal_triangle.cpp:52</div></div>
<div class="ttc" id="abayes__theorem_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../d5/d67/bayes__theorem_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdef"><b>Definition:</b> bayes_theorem.cpp:26</div></div>
<div class="ttc" id="afscanf_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/c/fscanf.html">std::scanf</a></div><div class="ttdeci">T scanf(T... args)</div></div>
<div class="ttc" id="amatrix__exponentiation_8cpp_html_ac62a499b83c7895dd0aa69da1b64c904"><div class="ttname"><a href="../../d7/d35/matrix__exponentiation_8cpp.html#ac62a499b83c7895dd0aa69da1b64c904">multiply</a></div><div class="ttdeci">vector&lt; vector&lt; ll &gt; &gt; multiply(const vector&lt; vector&lt; ll &gt;&gt; &amp;A, const vector&lt; vector&lt; ll &gt;&gt; &amp;B)</div><div class="ttdef"><b>Definition:</b> matrix_exponentiation.cpp:57</div></div>
<div class="ttc" id="ahill__cipher_8cpp_html_a04391124480d2a49f2dec900237b0712"><div class="ttname"><a href="../../d7/db9/hill__cipher_8cpp.html#a04391124480d2a49f2dec900237b0712">test2</a></div><div class="ttdeci">void test2(const std::string &amp;text)</div><div class="ttdoc">Self test 2 - using 8x8 randomly generated key.</div><div class="ttdef"><b>Definition:</b> hill_cipher.cpp:505</div></div>
<div class="ttc" id="asetfill_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/manip/setfill.html">std::setfill</a></div><div class="ttdeci">T setfill(T... args)</div></div>
<div class="ttc" id="areverse_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/algorithm/reverse.html">std::reverse</a></div><div class="ttdeci">T reverse(T... args)</div></div>
<div class="ttc" id="aqr__decomposition_8cpp_html_a840291bc02cba5474a4cb46a9b9566fe"><div class="ttname"><a href="../../d3/d24/qr__decomposition_8cpp.html#a840291bc02cba5474a4cb46a9b9566fe">main</a></div><div class="ttdeci">int main(void)</div><div class="ttdef"><b>Definition:</b> qr_decomposition.cpp:23</div></div>
<div class="ttc" id="apalindrome__of__number_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../da/d9a/palindrome__of__number_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdef"><b>Definition:</b> palindrome_of_number.cpp:19</div></div>
<div class="ttc" id="anamespacesorting_html"><div class="ttname"><a href="../../d5/d91/namespacesorting.html">sorting</a></div><div class="ttdoc">Sorting algorithms.</div><div class="ttdef"><b>Definition:</b> non_recursive_merge_sort.cpp:11</div></div>
<div class="ttc" id="avector__important__functions_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../d3/d61/vector__important__functions_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdef"><b>Definition:</b> vector_important_functions.cpp:11</div></div>
<div class="ttc" id="aqueue_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/queue.html">std::queue</a></div><div class="ttdoc">STL class.</div></div>
<div class="ttc" id="anamespacesorting_html_aa26de383227859210f14dcf12201a079"><div class="ttname"><a href="../../d5/d91/namespacesorting.html#aa26de383227859210f14dcf12201a079">sorting::merge</a></div><div class="ttdeci">void merge(Iterator, Iterator, const Iterator, char[])</div><div class="ttdoc">merges 2 sorted adjacent segments into a larger sorted segment</div><div class="ttdef"><b>Definition:</b> non_recursive_merge_sort.cpp:57</div></div>
<div class="ttc" id="alinear__search_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../d9/d02/linear__search_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdef"><b>Definition:</b> linear_search.cpp:27</div></div>
<div class="ttc" id="asuccessive__approximation_8cpp_html_ae89c36add7c55298c5195d0a83de1456"><div class="ttname"><a href="../../df/dc8/successive__approximation_8cpp.html#ae89c36add7c55298c5195d0a83de1456">eqd</a></div><div class="ttdeci">static float eqd(float y)</div><div class="ttdef"><b>Definition:</b> successive_approximation.cpp:17</div></div>
<div class="ttc" id="asort_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/algorithm/sort.html">std::sort</a></div><div class="ttdeci">T sort(T... args)</div></div>
<div class="ttc" id="adecimal__to__roman__numeral_8cpp_html_a88203bd297e8405160c132faa1187780"><div class="ttname"><a href="../../de/d85/decimal__to__roman__numeral_8cpp.html#a88203bd297e8405160c132faa1187780">fill</a></div><div class="ttdeci">std::string fill(char c, int n)</div><div class="ttdef"><b>Definition:</b> decimal_to_roman_numeral.cpp:15</div></div>
<div class="ttc" id="aqr__eigen__values_8cpp_html_a7558fd7779bf207157ced66f275951a0"><div class="ttname"><a href="../../de/d75/qr__eigen__values_8cpp.html#a7558fd7779bf207157ced66f275951a0">mat_mul</a></div><div class="ttdeci">void mat_mul(const std::valarray&lt; std::valarray&lt; double &gt;&gt; &amp;A, const std::valarray&lt; std::valarray&lt; double &gt;&gt; &amp;B, std::valarray&lt; std::valarray&lt; double &gt;&gt; *OUT)</div><div class="ttdef"><b>Definition:</b> qr_eigen_values.cpp:54</div></div>
<div class="ttc" id="anamespacestring__search_html_a8fb0bc932ba8b582c9f4c71338d050f8"><div class="ttname"><a href="../../d9/d03/namespacestring__search.html#a8fb0bc932ba8b582c9f4c71338d050f8">string_search::create_hash</a></div><div class="ttdeci">int64_t create_hash(const std::string &amp;s, int n)</div><div class="ttdef"><b>Definition:</b> rabin_karp.cpp:25</div></div>
<div class="ttc" id="asqrt_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/math/sqrt.html">std::sqrt</a></div><div class="ttdeci">T sqrt(T... args)</div></div>
<div class="ttc" id="aparanthesis__matching_8cpp_html_af4c937d823c412d99fbe60c99dbf0a4f"><div class="ttname"><a href="../../dc/dc5/paranthesis__matching_8cpp.html#af4c937d823c412d99fbe60c99dbf0a4f">stack_idx</a></div><div class="ttdeci">int stack_idx</div><div class="ttdoc">pointer to track stack index</div><div class="ttdef"><b>Definition:</b> paranthesis_matching.cpp:23</div></div>
<div class="ttc" id="ashell__sort2_8cpp_html_a0ddf1224851353fc92bfbff6f499fa97"><div class="ttname"><a href="../../d4/d7a/shell__sort2_8cpp.html#a0ddf1224851353fc92bfbff6f499fa97">main</a></div><div class="ttdeci">int main(int argc, char *argv[])</div><div class="ttdef"><b>Definition:</b> shell_sort2.cpp:183</div></div>
<div class="ttc" id="ainterpolation__search2_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../df/d39/interpolation__search2_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdef"><b>Definition:</b> interpolation_search2.cpp:32</div></div>
<div class="ttc" id="ashell__sort2_8cpp_html_a7eb77daed2cf1513f6d68c47a1c2db1c"><div class="ttname"><a href="../../d4/d7a/shell__sort2_8cpp.html#a7eb77daed2cf1513f6d68c47a1c2db1c">compare</a></div><div class="ttdeci">int compare(const void *a, const void *b)</div><div class="ttdef"><b>Definition:</b> shell_sort2.cpp:87</div></div>
<div class="ttc" id="anamespacestring__search_html_aeb2cd81064717aedd62bfb096b1a73d8"><div class="ttname"><a href="../../d9/d03/namespacestring__search.html#aeb2cd81064717aedd62bfb096b1a73d8">string_search::brute_force</a></div><div class="ttdeci">int brute_force(const std::string &amp;text, const std::string &amp;pattern)</div><div class="ttdef"><b>Definition:</b> brute_force_string_searching.cpp:21</div></div>
<div class="ttc" id="abuzz__number_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../d1/d76/buzz__number_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdef"><b>Definition:</b> buzz_number.cpp:9</div></div>
<div class="ttc" id="ais_sorted_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/algorithm/is_sorted.html">std::is_sorted</a></div><div class="ttdeci">T is_sorted(T... args)</div></div>
<div class="ttc" id="anamespaceqr__algorithm_html"><div class="ttname"><a href="../../d2/d3b/namespaceqr__algorithm.html">qr_algorithm</a></div><div class="ttdoc">Functions to compute QR decomposition of any rectangular matrix.</div></div>
<div class="ttc" id="aclass_fenwick_tree_html_aaae15ea71455315e257baa11017cec10"><div class="ttname"><a href="../../dd/d91/class_fenwick_tree.html#aaae15ea71455315e257baa11017cec10">FenwickTree::offset</a></div><div class="ttdeci">int offset(int x)</div><div class="ttdef"><b>Definition:</b> fenwick_tree.cpp:22</div></div>
<div class="ttc" id="aqr__eigen__values_8cpp_html_a33cb0a68c36aa26fd599c7c66da86ed7"><div class="ttname"><a href="../../de/d75/qr__eigen__values_8cpp.html#a33cb0a68c36aa26fd599c7c66da86ed7">create_matrix</a></div><div class="ttdeci">void create_matrix(std::valarray&lt; std::valarray&lt; double &gt;&gt; *A)</div><div class="ttdef"><b>Definition:</b> qr_eigen_values.cpp:28</div></div>
<div class="ttc" id="ahappy__number_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../db/df3/happy__number_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdef"><b>Definition:</b> happy_number.cpp:29</div></div>
<div class="ttc" id="astructquery_html"><div class="ttname"><a href="../../dd/d1b/structquery.html">query</a></div><div class="ttdef"><b>Definition:</b> mo.cpp:6</div></div>
<div class="ttc" id="atext__search_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../dc/db5/text__search_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdef"><b>Definition:</b> text_search.cpp:15</div></div>
<div class="ttc" id="agroup__sorting_html_ga0a9a57a1f1bbba3d4822531d002b7e07"><div class="ttname"><a href="../../d5/d4c/group__sorting.html#ga0a9a57a1f1bbba3d4822531d002b7e07">show</a></div><div class="ttdeci">void show(int *arr, int size)</div><div class="ttdef"><b>Definition:</b> merge_sort.cpp:96</div></div>
<div class="ttc" id="abrute__force__string__searching_8cpp_html_ae2abaa9caa13fff35e45edca00bee123"><div class="ttname"><a href="../../d3/d7d/brute__force__string__searching_8cpp.html#ae2abaa9caa13fff35e45edca00bee123">test_set</a></div><div class="ttdeci">const std::vector&lt; std::vector&lt; std::string &gt; &gt; test_set</div><div class="ttdef"><b>Definition:</b> brute_force_string_searching.cpp:41</div></div>
<div class="ttc" id="aternary__search_8cpp_html_a93d0099db95022f1eb90ddfd68f73ead"><div class="ttname"><a href="../../dc/dfe/ternary__search_8cpp.html#a93d0099db95022f1eb90ddfd68f73ead">rec_ternary_search</a></div><div class="ttdeci">int rec_ternary_search(int left, int right, int A[], int target)</div><div class="ttdef"><b>Definition:</b> ternary_search.cpp:90</div></div>
<div class="ttc" id="astruct_node_html"><div class="ttname"><a href="../../db/d8b/struct_node.html">Node</a></div><div class="ttdef"><b>Definition:</b> linkedlist_implentation_usingarray.cpp:14</div></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="astruct_point_html_a2e1b5fb2b2a83571f5c0bc0f66a73cf7"><div class="ttname"><a href="../../d8/dc8/struct_point.html#a2e1b5fb2b2a83571f5c0bc0f66a73cf7">Point::y</a></div><div class="ttdeci">int y</div><div class="ttdoc">Point respect to x coordinate.</div><div class="ttdef"><b>Definition:</b> line_segment_intersection.cpp:14</div></div>
<div class="ttc" id="anamespaceqr__algorithm_html_a763896dbb4a7e95c4a1e614ac0819d66"><div class="ttname"><a href="../../d2/d3b/namespaceqr__algorithm.html#a763896dbb4a7e95c4a1e614ac0819d66">qr_algorithm::eigen_values</a></div><div class="ttdeci">std::valarray&lt; double &gt; eigen_values(std::valarray&lt; std::valarray&lt; double &gt;&gt; *A, bool print_intermediates=false)</div><div class="ttdef"><b>Definition:</b> qr_eigen_values.cpp:98</div></div>
<div class="ttc" id="aclock_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/chrono/c/clock.html">std::clock</a></div><div class="ttdeci">T clock(T... args)</div></div>
<div class="ttc" id="anamespacestring__search_html_aed769d565b705a9b3e0eb1ec74088893"><div class="ttname"><a href="../../d9/d03/namespacestring__search.html#aed769d565b705a9b3e0eb1ec74088893">string_search::recalculate_hash</a></div><div class="ttdeci">int64_t recalculate_hash(const std::string &amp;s, int old_index, int new_index, int64_t old_hash, int patLength)</div><div class="ttdef"><b>Definition:</b> rabin_karp.cpp:42</div></div>
<div class="ttc" id="anamespaceciphers_html_ab9aec0ccf4b6809f652bb540be87c216"><div class="ttname"><a href="../../d6/d4e/namespaceciphers.html#ab9aec0ccf4b6809f652bb540be87c216">ciphers::STRKEY</a></div><div class="ttdeci">static const char * STRKEY</div><div class="ttdef"><b>Definition:</b> hill_cipher.cpp:73</div></div>
<div class="ttc" id="asmallest__circle_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../d0/d01/smallest__circle_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdef"><b>Definition:</b> smallest_circle.cpp:198</div></div>
<div class="ttc" id="ashell__sort2_8cpp_html_a895b313cb2671e8f712040460325573e"><div class="ttname"><a href="../../d4/d7a/shell__sort2_8cpp.html#a895b313cb2671e8f712040460325573e">test_int</a></div><div class="ttdeci">void test_int(const int NUM_DATA)</div><div class="ttdef"><b>Definition:</b> shell_sort2.cpp:105</div></div>
<div class="ttc" id="apascal__triangle_8cpp_html_afd3f52dd56ddedbf7af5d26a202a199e"><div class="ttname"><a href="../../dc/d1a/pascal__triangle_8cpp.html#afd3f52dd56ddedbf7af5d26a202a199e">pascal_triangle</a></div><div class="ttdeci">int ** pascal_triangle(int **arr, int n)</div><div class="ttdef"><b>Definition:</b> pascal_triangle.cpp:36</div></div>
<div class="ttc" id="ahill__cipher_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../d7/db9/hill__cipher_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdef"><b>Definition:</b> hill_cipher.cpp:532</div></div>
<div class="ttc" id="acomb__sort_8cpp_html_a0f4e7569090083fb53d5cdeaf0e2974f"><div class="ttname"><a href="../../d9/dfd/comb__sort_8cpp.html#a0f4e7569090083fb53d5cdeaf0e2974f">CombSort</a></div><div class="ttdeci">void CombSort(int *arr, int l, int r)</div><div class="ttdef"><b>Definition:</b> comb_sort.cpp:42</div></div>
<div class="ttc" id="aavltree_8cpp_html_aa7cd8a68075fae1c33df41233c1bed6a"><div class="ttname"><a href="../../d8/dee/avltree_8cpp.html#aa7cd8a68075fae1c33df41233c1bed6a">insert</a></div><div class="ttdeci">node * insert(node *root, int item)</div><div class="ttdef"><b>Definition:</b> avltree.cpp:66</div></div>
<div class="ttc" id="afprintf_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/c/fprintf.html">std::printf</a></div><div class="ttdeci">T printf(T... args)</div></div>
<div class="ttc" id="aclass_fenwick_tree_html_aaddab1f03d4941212a82cc647b1adb17"><div class="ttname"><a href="../../dd/d91/class_fenwick_tree.html#aaddab1f03d4941212a82cc647b1adb17">FenwickTree::FenwickTree</a></div><div class="ttdeci">FenwickTree(const std::vector&lt; int &gt; &amp;arr)</div><div class="ttdef"><b>Definition:</b> fenwick_tree.cpp:28</div></div>
<div class="ttc" id="agroup__sorting_html_gab6b14fea48d9841e29b9fc26be6e05d7"><div class="ttname"><a href="../../d5/d4c/group__sorting.html#gab6b14fea48d9841e29b9fc26be6e05d7">mergeSort</a></div><div class="ttdeci">void mergeSort(int *arr, int l, int r)</div><div class="ttdef"><b>Definition:</b> merge_sort.cpp:83</div></div>
<div class="ttc" id="amatrix__exponentiation_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../d7/d35/matrix__exponentiation_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdef"><b>Definition:</b> matrix_exponentiation.cpp:126</div></div>
<div class="ttc" id="afast__interger__input_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../d4/de8/fast__interger__input_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdef"><b>Definition:</b> fast_interger_input.cpp:39</div></div>
<div class="ttc" id="abasic_ostream_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a></div></div>
<div class="ttc" id="aqr__decompose_8h_html"><div class="ttname"><a href="../../d4/d68/qr__decompose_8h.html">qr_decompose.h</a></div><div class="ttdoc">Library functions to compute QR decomposition of a given matrix.</div></div>
<div class="ttc" id="agroup__sorting_html_ga460c61cd948203b4816bef2accb3fc73"><div class="ttname"><a href="../../d5/d4c/group__sorting.html#ga460c61cd948203b4816bef2accb3fc73">merge</a></div><div class="ttdeci">void merge(int *arr, int l, int m, int r)</div><div class="ttdef"><b>Definition:</b> merge_sort.cpp:33</div></div>
<div class="ttc" id="ahash__search_8cpp_html_a566eaf0ffafd50bc61e644561fd27001"><div class="ttname"><a href="../../d1/df3/hash__search_8cpp.html#a566eaf0ffafd50bc61e644561fd27001">h</a></div><div class="ttdeci">int h(int key)</div><div class="ttdef"><b>Definition:</b> hash_search.cpp:45</div></div>
<div class="ttc" id="abasic_ofstream_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/basic_ofstream.html">std::ofstream</a></div><div class="ttdoc">STL class.</div></div>
<div class="ttc" id="anamespacesorting_html_ae97f4dd815654c4682f564afd718e824"><div class="ttname"><a href="../../d5/d91/namespacesorting.html#ae97f4dd815654c4682f564afd718e824">sorting::non_recursive_merge_sort</a></div><div class="ttdeci">void non_recursive_merge_sort(const Iterator first, const Iterator last)</div><div class="ttdoc">bottom-up merge sort which sorts elements in a non-decreasing order</div><div class="ttdef"><b>Definition:</b> non_recursive_merge_sort.cpp:86</div></div>
<div class="ttc" id="aclass_fenwick_tree_html_a2e9ea4fcbe0786487f4535c1cfc7aa00"><div class="ttname"><a href="../../dd/d91/class_fenwick_tree.html#a2e9ea4fcbe0786487f4535c1cfc7aa00">FenwickTree::update</a></div><div class="ttdeci">void update(int id, int val)</div><div class="ttdef"><b>Definition:</b> fenwick_tree.cpp:45</div></div>
<div class="ttc" id="abinary__search_8cpp_html_abf9e6b7e6f15df4b525a2e7705ba3089"><div class="ttname"><a href="../../df/dd5/binary__search_8cpp.html#abf9e6b7e6f15df4b525a2e7705ba3089">main</a></div><div class="ttdeci">int main(int argc, char const *argv[])</div><div class="ttdef"><b>Definition:</b> binary_search.cpp:31</div></div>
<div class="ttc" id="astructtower_html"><div class="ttname"><a href="../../d2/d2c/structtower.html">tower</a></div><div class="ttdef"><b>Definition:</b> tower_of_hanoi.cpp:11</div></div>
<div class="ttc" id="aternary__search_8cpp_html_a23ad617bfce1e7cf4591059c85c1a027"><div class="ttname"><a href="../../dc/dfe/ternary__search_8cpp.html#a23ad617bfce1e7cf4591059c85c1a027">_target</a></div><div class="ttdeci">#define _target</div><div class="ttdef"><b>Definition:</b> ternary_search.cpp:27</div></div>
<div class="ttc" id="abinary__search_8cpp_html_a78df202b718cfe3c2c9216979b08298d"><div class="ttname"><a href="../../df/dd5/binary__search_8cpp.html#a78df202b718cfe3c2c9216979b08298d">binary_search</a></div><div class="ttdeci">int binary_search(int a[], int r, int key)</div><div class="ttdef"><b>Definition:</b> binary_search.cpp:15</div></div>
<div class="ttc" id="aparanthesis__matching_8cpp_html_ade525d33459755a32ba21e1b6910ff21"><div class="ttname"><a href="../../dc/dc5/paranthesis__matching_8cpp.html#ade525d33459755a32ba21e1b6910ff21">opening</a></div><div class="ttdeci">char opening(char ch)</div><div class="ttdef"><b>Definition:</b> paranthesis_matching.cpp:36</div></div>
<div class="ttc" id="ahappy__number_8cpp_html_a00ccdb1166a7c83ac3c33ac67a2532b7"><div class="ttname"><a href="../../db/df3/happy__number_8cpp.html#a00ccdb1166a7c83ac3c33ac67a2532b7">is_happy</a></div><div class="ttdeci">bool is_happy(T n)</div><div class="ttdef"><b>Definition:</b> happy_number.cpp:14</div></div>
<div class="ttc" id="acompare_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/string/basic_string/compare.html">std::string::compare</a></div><div class="ttdeci">T compare(T... args)</div></div>
<div class="ttc" id="anamespacestring__search_html_aebe07cea289a13142503d98be7df11fd"><div class="ttname"><a href="../../d9/d03/namespacestring__search.html#aebe07cea289a13142503d98be7df11fd">string_search::check_if_equal</a></div><div class="ttdeci">bool check_if_equal(const std::string &amp;str1, const std::string &amp;str2, int start1, int end1, int start2, int end2)</div><div class="ttdef"><b>Definition:</b> rabin_karp.cpp:60</div></div>
<div class="ttc" id="amedian__search_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../d9/d69/median__search_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdef"><b>Definition:</b> median_search.cpp:38</div></div>
<div class="ttc" id="aternary__search_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../dc/dfe/ternary__search_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdef"><b>Definition:</b> ternary_search.cpp:134</div></div>
<div class="ttc" id="abinomial__dist_8cpp_html_a76ed6ce71415fb400b65f0656cef3d25"><div class="ttname"><a href="../../d6/db0/binomial__dist_8cpp.html#a76ed6ce71415fb400b65f0656cef3d25">binomial_range_successes</a></div><div class="ttdeci">double binomial_range_successes(double n, double p, double lower_bound, double upper_bound)</div><div class="ttdef"><b>Definition:</b> binomial_dist.cpp:74</div></div>
<div class="ttc" id="asmallest__circle_8cpp_html_a3cbebd6f4d2cdf227663c67fe41ba12a"><div class="ttname"><a href="../../d0/d01/smallest__circle_8cpp.html#a3cbebd6f4d2cdf227663c67fe41ba12a">LenghtLine</a></div><div class="ttdeci">double LenghtLine(const Point &amp;A, const Point &amp;B)</div><div class="ttdef"><b>Definition:</b> smallest_circle.cpp:37</div></div>
<div class="ttc" id="aqsort_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/algorithm/qsort.html">std::qsort</a></div><div class="ttdeci">T qsort(T... args)</div></div>
<div class="ttc" id="aclassciphers_1_1_hill_cipher_html_aa8bbb6e4a5749f6008b06602d5103917"><div class="ttname"><a href="../../d6/d26/classciphers_1_1_hill_cipher.html#aa8bbb6e4a5749f6008b06602d5103917">ciphers::HillCipher::encrypt_text</a></div><div class="ttdeci">static const std::string encrypt_text(const std::string &amp;text, const matrix&lt; int &gt; &amp;encrypt_key)</div><div class="ttdoc">Encrypt a given text using a given key.</div><div class="ttdef"><b>Definition:</b> hill_cipher.cpp:445</div></div>
<div class="ttc" id="ato_string_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/string/basic_string/to_string.html">std::to_string</a></div><div class="ttdeci">T to_string(T... args)</div></div>
<div class="ttc" id="aclassciphers_1_1_hill_cipher_html_a427acfac1dbff3f48a2b071d449d965b"><div class="ttname"><a href="../../d6/d26/classciphers_1_1_hill_cipher.html#a427acfac1dbff3f48a2b071d449d965b">ciphers::HillCipher::decrypt_text</a></div><div class="ttdeci">static const std::string decrypt_text(const std::string &amp;text, const matrix&lt; int &gt; &amp;decrypt_key)</div><div class="ttdoc">Decrypt a given text using a given key.</div><div class="ttdef"><b>Definition:</b> hill_cipher.cpp:457</div></div>
<div class="ttc" id="anamespacestring__search_html_a26a58225ce7d3fa9d4c2f5349a65ed93"><div class="ttname"><a href="../../d9/d03/namespacestring__search.html#a26a58225ce7d3fa9d4c2f5349a65ed93">string_search::kmp</a></div><div class="ttdeci">bool kmp(const std::string &amp;pattern, const std::string &amp;text)</div><div class="ttdef"><b>Definition:</b> knuth_morris_pratt.cpp:56</div></div>
<div class="ttc" id="apoisson__dist_8cpp_html_ad9c9e74079278ca10e3b97a8d5391c9a"><div class="ttname"><a href="../../d9/d24/poisson__dist_8cpp.html#ad9c9e74079278ca10e3b97a8d5391c9a">poisson_range_successes</a></div><div class="ttdeci">double poisson_range_successes(double expected, double lower, double upper)</div><div class="ttdef"><b>Definition:</b> poisson_dist.cpp:54</div></div>
<div class="ttc" id="atower__of__hanoi_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../db/d3c/tower__of__hanoi_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdef"><b>Definition:</b> tower_of_hanoi.cpp:65</div></div>
<div class="ttc" id="anamespacesorting_html_a140d913e42fb94176a0b2c8b29a80420"><div class="ttname"><a href="../../d5/d91/namespacesorting.html#a140d913e42fb94176a0b2c8b29a80420">sorting::non_recursive_merge_sort</a></div><div class="ttdeci">void non_recursive_merge_sort(const Iterator first, const Iterator last, const size_t n)</div><div class="ttdoc">bottom-up merge sort which sorts elements in a non-decreasing order</div><div class="ttdef"><b>Definition:</b> non_recursive_merge_sort.cpp:25</div></div>
<div class="ttc" id="amatrix__exponentiation_8cpp_html_ae1d1ec9482079231e898236e2b23c9ba"><div class="ttname"><a href="../../d7/d35/matrix__exponentiation_8cpp.html#ae1d1ec9482079231e898236e2b23c9ba">ll</a></div><div class="ttdeci">#define ll</div><div class="ttdef"><b>Definition:</b> matrix_exponentiation.cpp:33</div></div>
<div class="ttc" id="aerase_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/string/basic_string/erase.html">std::string::erase</a></div><div class="ttdeci">T erase(T... args)</div></div>
<div class="ttc" id="avalarray_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a></div><div class="ttdoc">STL class.</div></div>
<div class="ttc" id="abinomial__dist_8cpp_html_af09e51f513cee647d41192ab0a872cdc"><div class="ttname"><a href="../../d6/db0/binomial__dist_8cpp.html#af09e51f513cee647d41192ab0a872cdc">binomial_standard_deviation</a></div><div class="ttdeci">double binomial_standard_deviation(double n, double p)</div><div class="ttdef"><b>Definition:</b> binomial_dist.cpp:36</div></div>
<div class="ttc" id="asmallest__circle_8cpp_html_a94682a4a70d5906857ca09de5b9fb2cc"><div class="ttname"><a href="../../d0/d01/smallest__circle_8cpp.html#a94682a4a70d5906857ca09de5b9fb2cc">TriangleArea</a></div><div class="ttdeci">double TriangleArea(const Point &amp;A, const Point &amp;B, const Point &amp;C)</div><div class="ttdef"><b>Definition:</b> smallest_circle.cpp:54</div></div>
<div class="ttc" id="abrute__force__string__searching_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../d3/d7d/brute__force__string__searching_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdef"><b>Definition:</b> brute_force_string_searching.cpp:47</div></div>
<div class="ttc" id="abinomial__dist_8cpp_html_a19ae0a6a2bd200fd1eb0e31b2bf4cc76"><div class="ttname"><a href="../../d6/db0/binomial__dist_8cpp.html#a19ae0a6a2bd200fd1eb0e31b2bf4cc76">binomial_x_successes</a></div><div class="ttdeci">double binomial_x_successes(double n, double p, double x)</div><div class="ttdef"><b>Definition:</b> binomial_dist.cpp:65</div></div>
<div class="ttc" id="aqr__eigen__values_8cpp_html_a0283886819c7c140a023582b7269e2d0"><div class="ttname"><a href="../../de/d75/qr__eigen__values_8cpp.html#a0283886819c7c140a023582b7269e2d0">test2</a></div><div class="ttdeci">void test2()</div><div class="ttdef"><b>Definition:</b> qr_eigen_values.cpp:210</div></div>
<div class="ttc" id="aremove_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/algorithm/remove.html">std::remove</a></div><div class="ttdeci">T remove(T... args)</div></div>
<div class="ttc" id="amatrix__exponentiation_8cpp_html_a600eaf353befc174637855795f12d258"><div class="ttname"><a href="../../d7/d35/matrix__exponentiation_8cpp.html#a600eaf353befc174637855795f12d258">endl</a></div><div class="ttdeci">#define endl</div><div class="ttdef"><b>Definition:</b> matrix_exponentiation.cpp:36</div></div>
<div class="ttc" id="ahash__search_8cpp_html_ad6fcd983304f85afa199d97a9b0ca9f6"><div class="ttname"><a href="../../d1/df3/hash__search_8cpp.html#ad6fcd983304f85afa199d97a9b0ca9f6">link</a></div><div class="ttdeci">struct list * link</div><div class="ttdoc">pointer to nodes</div></div>
<div class="ttc" id="amedian__search_8cpp_html_a3a66390d0e407dce4fcbf63a169c6c8f"><div class="ttname"><a href="../../d9/d69/median__search_8cpp.html#a3a66390d0e407dce4fcbf63a169c6c8f">comp</a></div><div class="ttdeci">void comp(X x, std::vector&lt; int &gt; *s1, std::vector&lt; int &gt; *s2, std::vector&lt; int &gt; *s3)</div><div class="ttdef"><b>Definition:</b> median_search.cpp:17</div></div>
<div class="ttc" id="aspiral__print_8cpp_html_a850d3f55e1a8d227176cdcc67352c197"><div class="ttname"><a href="../../db/d07/spiral__print_8cpp.html#a850d3f55e1a8d227176cdcc67352c197">spiralPrint</a></div><div class="ttdeci">void spiralPrint(int **a, int r, int c)</div><div class="ttdef"><b>Definition:</b> spiral_print.cpp:29</div></div>
<div class="ttc" id="abayes__theorem_8cpp_html_abb4f22dc05887c2259fdfc55c687598f"><div class="ttname"><a href="../../d5/d67/bayes__theorem_8cpp.html#abb4f22dc05887c2259fdfc55c687598f">bayes_BgivenA</a></div><div class="ttdeci">double bayes_BgivenA(double AgivenB, double A, double B)</div><div class="ttdef"><b>Definition:</b> bayes_theorem.cpp:20</div></div>
<div class="ttc" id="amatrix__exponentiation_8cpp_html_a35b7c98af53ad2ec18658679ad7d43de"><div class="ttname"><a href="../../d7/d35/matrix__exponentiation_8cpp.html#a35b7c98af53ad2ec18658679ad7d43de">fib_b</a></div><div class="ttdeci">vector&lt; ll &gt; fib_b</div><div class="ttdef"><b>Definition:</b> matrix_exponentiation.cpp:50</div></div>
<div class="ttc" id="apoisson__dist_8cpp_html_ac217ab9a06291f360d816700a6958ca8"><div class="ttname"><a href="../../d9/d24/poisson__dist_8cpp.html#ac217ab9a06291f360d816700a6958ca8">poisson_rate</a></div><div class="ttdeci">double poisson_rate(double events, double timeframe)</div><div class="ttdef"><b>Definition:</b> poisson_dist.cpp:17</div></div>
<div class="ttc" id="astructlist_html_aaab2e33bc1ca6f44e72239bfb58f100c"><div class="ttname"><a href="../../d8/d10/structlist.html#aaab2e33bc1ca6f44e72239bfb58f100c">list::key</a></div><div class="ttdeci">int key</div><div class="ttdoc">key value for node</div><div class="ttdef"><b>Definition:</b> hash_search.cpp:30</div></div>
<div class="ttc" id="aqr__eigen__values_8cpp_html_a3c04138a5bfe5d72780bb7e82a18e627"><div class="ttname"><a href="../../de/d75/qr__eigen__values_8cpp.html#a3c04138a5bfe5d72780bb7e82a18e627">main</a></div><div class="ttdeci">int main(int argc, char **argv)</div><div class="ttdef"><b>Definition:</b> qr_eigen_values.cpp:243</div></div>
<div class="ttc" id="aceil_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/math/ceil.html">std::ceil</a></div><div class="ttdeci">T ceil(T... args)</div></div>
<div class="ttc" id="asmallest__circle_8cpp_html_a0b0676df8e4da7a08c7ccaecea344903"><div class="ttname"><a href="../../d0/d01/smallest__circle_8cpp.html#a0b0676df8e4da7a08c7ccaecea344903">circle</a></div><div class="ttdeci">double circle(const std::vector&lt; Point &gt; &amp;P)</div><div class="ttdef"><b>Definition:</b> smallest_circle.cpp:87</div></div>
<div class="ttc" id="asuccessive__approximation_8cpp_html_a79c1d08919ff7780a5d7723172602389"><div class="ttname"><a href="../../df/dc8/successive__approximation_8cpp.html#a79c1d08919ff7780a5d7723172602389">eq</a></div><div class="ttdeci">static float eq(float y)</div><div class="ttdef"><b>Definition:</b> successive_approximation.cpp:12</div></div>
<div class="ttc" id="aexponential__search_8cpp_html_a67e9c84b4e2eb30e3c5170eabfbb363d"><div class="ttname"><a href="../../d8/d8a/exponential__search_8cpp.html#a67e9c84b4e2eb30e3c5170eabfbb363d">struzik_search</a></div><div class="ttdeci">Type * struzik_search(Type *array, size_t size, Type key)</div><div class="ttdef"><b>Definition:</b> exponential_search.cpp:59</div></div>
<div class="ttc" id="apoisson__dist_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../d9/d24/poisson__dist_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdef"><b>Definition:</b> poisson_dist.cpp:65</div></div>
<div class="ttc" id="arand_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/random/rand.html">std::rand</a></div><div class="ttdeci">T rand(T... args)</div></div>
<div class="ttc" id="aswap_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/algorithm/swap.html">std::swap</a></div><div class="ttdeci">T swap(T... args)</div></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>
<div class="ttc" id="abinomial__dist_8cpp_html_a4416a7bc7fa87201883c54cdc4c82813"><div class="ttname"><a href="../../d6/db0/binomial__dist_8cpp.html#a4416a7bc7fa87201883c54cdc4c82813">binomial_expected</a></div><div class="ttdeci">double binomial_expected(double n, double p)</div><div class="ttdef"><b>Definition:</b> binomial_dist.cpp:22</div></div>
<div class="ttc" id="aheap__sort_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../d2/d52/heap__sort_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdef"><b>Definition:</b> heap_sort.cpp:120</div></div>
<div class="ttc" id="ahash__search_8cpp_html_af413b1740073db54796642b0ab814d6d"><div class="ttname"><a href="../../d1/df3/hash__search_8cpp.html#af413b1740073db54796642b0ab814d6d">hashtab</a></div><div class="ttdeci">node hashtab[HASHMAX]</div><div class="ttdoc">array of nodes</div><div class="ttdef"><b>Definition:</b> hash_search.cpp:35</div></div>
<div class="ttc" id="asubstr_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/string/basic_string/substr.html">std::string::substr</a></div><div class="ttdeci">T substr(T... args)</div></div>
<div class="ttc" id="aternary__search_8cpp_html_ae30dfe2894191bfeffe5b3b1854b95b0"><div class="ttname"><a href="../../dc/dfe/ternary__search_8cpp.html#ae30dfe2894191bfeffe5b3b1854b95b0">it_ternary_search</a></div><div class="ttdeci">int it_ternary_search(int left, int right, int A[], int target)</div><div class="ttdef"><b>Definition:</b> ternary_search.cpp:48</div></div>
<div class="ttc" id="ahill__cipher_8cpp_html_a3147ad576f8a94a2a6b66948672b452b"><div class="ttname"><a href="../../d7/db9/hill__cipher_8cpp.html#a3147ad576f8a94a2a6b66948672b452b">test1</a></div><div class="ttdeci">void test1(const std::string &amp;text)</div><div class="ttdoc">Self test 1 - using 3x3 randomly generated key.</div><div class="ttdef"><b>Definition:</b> hill_cipher.cpp:470</div></div>
<div class="ttc" id="aclassciphers_1_1_hill_cipher_html_a14bfcd14af6cd853130cbacd32e35c13"><div class="ttname"><a href="../../d6/d26/classciphers_1_1_hill_cipher.html#a14bfcd14af6cd853130cbacd32e35c13">ciphers::HillCipher::generate_keys</a></div><div class="ttdeci">static std::pair&lt; matrix&lt; int &gt;, matrix&lt; int &gt; &gt; generate_keys(size_t size, int limit1=0, int limit2=10)</div><div class="ttdoc">Generate encryption and decryption key pair.</div><div class="ttdef"><b>Definition:</b> hill_cipher.cpp:424</div></div>
<div class="ttc" id="ajump__search_8cpp_html_ab49fd8f401bfc71f63b74711390cccf0"><div class="ttname"><a href="../../d2/d22/jump__search_8cpp.html#ab49fd8f401bfc71f63b74711390cccf0">jumpSearch</a></div><div class="ttdeci">int jumpSearch(int arr[], int x, int n)</div><div class="ttdef"><b>Definition:</b> jump_search.cpp:12</div></div>
<div class="ttc" id="ahash__search_8cpp_html_a6e1a77282bc65ad359d753d25df23243"><div class="ttname"><a href="../../d1/df3/hash__search_8cpp.html#a6e1a77282bc65ad359d753d25df23243">data</a></div><div class="ttdeci">int data[MAX]</div><div class="ttdoc">test data</div><div class="ttdef"><b>Definition:</b> hash_search.cpp:24</div></div>
<div class="ttc" id="adecimal__to__binary_8cpp_html_a9240f2e79074a2a248395258aebbfa11"><div class="ttname"><a href="../../df/d06/decimal__to__binary_8cpp.html#a9240f2e79074a2a248395258aebbfa11">method1</a></div><div class="ttdeci">void method1(int number)</div><div class="ttdef"><b>Definition:</b> decimal_to_binary.cpp:11</div></div>
<div class="ttc" id="aqr__eigen__values_8cpp_html_a1440a7779ac56f47a3f355ce4a8c7da0"><div class="ttname"><a href="../../de/d75/qr__eigen__values_8cpp.html#a1440a7779ac56f47a3f355ce4a8c7da0">test1</a></div><div class="ttdeci">void test1()</div><div class="ttdef"><b>Definition:</b> qr_eigen_values.cpp:177</div></div>
<div class="ttc" id="aheap__sort_8cpp_html_a9ed3e1510afdf3edd06cf2b68769a767"><div class="ttname"><a href="../../d2/d52/heap__sort_8cpp.html#a9ed3e1510afdf3edd06cf2b68769a767">printArray</a></div><div class="ttdeci">void printArray(T *arr, int sz)</div><div class="ttdef"><b>Definition:</b> heap_sort.cpp:37</div></div>
<div class="ttc" id="alower_bound_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/algorithm/lower_bound.html">std::lower_bound</a></div><div class="ttdeci">T lower_bound(T... args)</div></div>
<div class="ttc" id="ahash__search_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../d1/df3/hash__search_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdef"><b>Definition:</b> hash_search.cpp:99</div></div>
<div class="ttc" id="aendl_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a></div><div class="ttdeci">T endl(T... args)</div></div>
<div class="ttc" id="aleft_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/manip/left.html">std::left</a></div><div class="ttdeci">T left(T... args)</div></div>
<div class="ttc" id="ahash__search_8cpp_html_ad0831425f1389166a9518f422d0c6ec5"><div class="ttname"><a href="../../d1/df3/hash__search_8cpp.html#ad0831425f1389166a9518f422d0c6ec5">create_list</a></div><div class="ttdeci">void create_list(int key)</div><div class="ttdef"><b>Definition:</b> hash_search.cpp:55</div></div>
<div class="ttc" id="apoisson__dist_8cpp_html_a63ffd347e75d5ed7a518cbcfbfeec71a"><div class="ttname"><a href="../../d9/d24/poisson__dist_8cpp.html#a63ffd347e75d5ed7a518cbcfbfeec71a">fact</a></div><div class="ttdeci">double fact(double x)</div><div class="ttdef"><b>Definition:</b> poisson_dist.cpp:30</div></div>
<div class="ttc" id="aexp_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/math/exp.html">std::exp</a></div><div class="ttdeci">T exp(T... args)</div></div>
<div class="ttc" id="abegin_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/string/basic_string/begin.html">std::string::begin</a></div><div class="ttdeci">T begin(T... args)</div></div>
<div class="ttc" id="agetline_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/string/basic_string/getline.html">std::getline</a></div><div class="ttdeci">T getline(T... args)</div></div>
<div class="ttc" id="anamespacestd_html"><div class="ttname"><a href="../../d8/dcc/namespacestd.html">std</a></div><div class="ttdoc">STL namespace.</div></div>
<div class="ttc" id="aaddition__rule_8cpp_html_a4adfd055c758546456d440ee9133555d"><div class="ttname"><a href="../../d6/d4a/addition__rule_8cpp.html#a4adfd055c758546456d440ee9133555d">addition_rule_independent</a></div><div class="ttdeci">double addition_rule_independent(double A, double B)</div><div class="ttdef"><b>Definition:</b> addition_rule.cpp:14</div></div>
<div class="ttc" id="atower__of__hanoi_8cpp_html_a746d9a3984bba88fd6dd91978f6931ed"><div class="ttname"><a href="../../db/d3c/tower__of__hanoi_8cpp.html#a746d9a3984bba88fd6dd91978f6931ed">show</a></div><div class="ttdeci">void show(const struct tower *const F, const struct tower *const T, const struct tower *const U)</div><div class="ttdef"><b>Definition:</b> tower_of_hanoi.cpp:19</div></div>
<div class="ttc" id="asparse__matrix_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../d3/d19/sparse__matrix_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdef"><b>Definition:</b> sparse_matrix.cpp:9</div></div>
<div class="ttc" id="asmallest__circle_8cpp_html_ae1a3968e7947464bee7714f6d43b7002"><div class="ttname"><a href="../../d0/d01/smallest__circle_8cpp.html#ae1a3968e7947464bee7714f6d43b7002">test</a></div><div class="ttdeci">void test()</div><div class="ttdef"><b>Definition:</b> smallest_circle.cpp:158</div></div>
<div class="ttc" id="astructcompare_html"><div class="ttname"><a href="../../d1/db3/structcompare.html">compare</a></div><div class="ttdef"><b>Definition:</b> huffman.cpp:28</div></div>
<div class="ttc" id="aspiral__print_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../db/d07/spiral__print_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdef"><b>Definition:</b> spiral_print.cpp:69</div></div>
<div class="ttc" id="aparanthesis__matching_8cpp_html_a392fb874e547e582e9c66a08a1f23326"><div class="ttname"><a href="../../dc/dc5/paranthesis__matching_8cpp.html#a392fb874e547e582e9c66a08a1f23326">MAX</a></div><div class="ttdeci">#define MAX</div><div class="ttdef"><b>Definition:</b> paranthesis_matching.cpp:16</div></div>
<div class="ttc" id="aclassstack_html"><div class="ttname"><a href="../../d1/dc2/classstack.html">stack</a></div><div class="ttdef"><b>Definition:</b> stack.h:26</div></div>
<div class="ttc" id="amatrix__exponentiation_8cpp_html_a5769b745458157ef2679949155684f3b"><div class="ttname"><a href="../../d7/d35/matrix__exponentiation_8cpp.html#a5769b745458157ef2679949155684f3b">power</a></div><div class="ttdeci">vector&lt; vector&lt; ll &gt; &gt; power(const vector&lt; vector&lt; ll &gt;&gt; &amp;A, ll p)</div><div class="ttdef"><b>Definition:</b> matrix_exponentiation.cpp:76</div></div>
<div class="ttc" id="asuccessive__approximation_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../df/dc8/successive__approximation_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdef"><b>Definition:</b> successive_approximation.cpp:20</div></div>
<div class="ttc" id="acount_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/algorithm/count.html">std::count</a></div><div class="ttdeci">T count(T... args)</div></div>
<div class="ttc" id="alinear__search_8cpp_html_a84ac3988a534eb60ca351ed6caf56d84"><div class="ttname"><a href="../../d9/d02/linear__search_8cpp.html#a84ac3988a534eb60ca351ed6caf56d84">LinearSearch</a></div><div class="ttdeci">int LinearSearch(int *array, int size, int key)</div><div class="ttdef"><b>Definition:</b> linear_search.cpp:16</div></div>
<div class="ttc" id="aassign_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector/assign.html">std::vector::assign</a></div><div class="ttdeci">T assign(T... args)</div></div>
<div class="ttc" id="aprimality__test_8cpp_html_a2bfa6adead2bdcbf1dac94cbe08d7eaf"><div class="ttname"><a href="../../da/d7b/primality__test_8cpp.html#a2bfa6adead2bdcbf1dac94cbe08d7eaf">IsPrime</a></div><div class="ttdeci">bool IsPrime(int number)</div><div class="ttdef"><b>Definition:</b> primality_test.cpp:18</div></div>
<div class="ttc" id="abinomial__dist_8cpp_html_a78d36635232e54b5d71fcbf1eac9a49a"><div class="ttname"><a href="../../d6/db0/binomial__dist_8cpp.html#a78d36635232e54b5d71fcbf1eac9a49a">nCr</a></div><div class="ttdeci">double nCr(double n, double r)</div><div class="ttdef"><b>Definition:</b> binomial_dist.cpp:47</div></div>
<div class="ttc" id="astructtower_html_a3ebb75c13c57d51a8a1ba1ea54a515e9"><div class="ttname"><a href="../../d2/d2c/structtower.html#a3ebb75c13c57d51a8a1ba1ea54a515e9">tower::values</a></div><div class="ttdeci">int values[10]</div><div class="ttdoc">Values in the tower.</div><div class="ttdef"><b>Definition:</b> tower_of_hanoi.cpp:13</div></div>
<div class="ttc" id="anamespaceqr__algorithm_html_ab1ac74497ffb2101040cc1efe3546de8"><div class="ttname"><a href="../../d2/d3b/namespaceqr__algorithm.html#ab1ac74497ffb2101040cc1efe3546de8">qr_algorithm::qr_decompose</a></div><div class="ttdeci">void qr_decompose(const std::valarray&lt; std::valarray&lt; T &gt;&gt; &amp;A, std::valarray&lt; std::valarray&lt; T &gt;&gt; *Q, std::valarray&lt; std::valarray&lt; T &gt;&gt; *R)</div><div class="ttdef"><b>Definition:</b> qr_decompose.h:146</div></div>
<div class="ttc" id="aspiral__print_8cpp_html_acfff36db81326fb990a643ab198ee8a5"><div class="ttname"><a href="../../db/d07/spiral__print_8cpp.html#acfff36db81326fb990a643ab198ee8a5">genArray</a></div><div class="ttdeci">void genArray(int **a, int r, int c)</div><div class="ttdef"><b>Definition:</b> spiral_print.cpp:12</div></div>
<div class="ttc" id="acomb__sort_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../d9/dfd/comb__sort_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdef"><b>Definition:</b> comb_sort.cpp:88</div></div>
<div class="ttc" id="ainterpolation__search_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../d9/dd7/interpolation__search_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdef"><b>Definition:</b> interpolation_search.cpp:37</div></div>
<div class="ttc" id="astring__fibonacci_8cpp_html_a28052eee05d43c2ebc5147c52bd50c35"><div class="ttname"><a href="../../de/d47/string__fibonacci_8cpp.html#a28052eee05d43c2ebc5147c52bd50c35">add</a></div><div class="ttdeci">std::string add(std::string a, std::string b)</div><div class="ttdef"><b>Definition:</b> string_fibonacci.cpp:24</div></div>
<div class="ttc" id="atime_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/chrono/c/time.html">std::time</a></div><div class="ttdeci">T time(T... args)</div></div>
<div class="ttc" id="aaddition__rule_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../d6/d4a/addition__rule_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdef"><b>Definition:</b> addition_rule.cpp:30</div></div>
<div class="ttc" id="adecimal__to__roman__numeral_8cpp_html_a214743638eff1336f835310049aef979"><div class="ttname"><a href="../../de/d85/decimal__to__roman__numeral_8cpp.html#a214743638eff1336f835310049aef979">toupperRoman</a></div><div class="ttdeci">std::string toupperRoman(int n)</div><div class="ttdef"><b>Definition:</b> decimal_to_roman_numeral.cpp:58</div></div>
<div class="ttc" id="aqr__eigen__values_8cpp_html_aee57a411f07599034f5ceb8cc7d65b40"><div class="ttname"><a href="../../de/d75/qr__eigen__values_8cpp.html#aee57a411f07599034f5ceb8cc7d65b40">LIMS</a></div><div class="ttdeci">#define LIMS</div><div class="ttdef"><b>Definition:</b> qr_eigen_values.cpp:20</div></div>
<div class="ttc" id="aend_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/string/basic_string/end.html">std::string::end</a></div><div class="ttdeci">T end(T... args)</div></div>
<div class="ttc" id="abayes__theorem_8cpp_html_a655bfe51252468d232dc639a340656ba"><div class="ttname"><a href="../../d5/d67/bayes__theorem_8cpp.html#a655bfe51252468d232dc639a340656ba">bayes_AgivenB</a></div><div class="ttdeci">double bayes_AgivenB(double BgivenA, double A, double B)</div><div class="ttdef"><b>Definition:</b> bayes_theorem.cpp:14</div></div>
<div class="ttc" id="aclass_fenwick_tree_html_ade1d6a3d49af9d9df33e2fb26cab1699"><div class="ttname"><a href="../../dd/d91/class_fenwick_tree.html#ade1d6a3d49af9d9df33e2fb26cab1699">FenwickTree::sum</a></div><div class="ttdeci">int sum(int id)</div><div class="ttdef"><b>Definition:</b> fenwick_tree.cpp:54</div></div>
<div class="ttc" id="asetw_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/manip/setw.html">std::setw</a></div><div class="ttdeci">T setw(T... args)</div></div>
<div class="ttc" id="aquick__sort_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../d1/d21/quick__sort_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdef"><b>Definition:</b> quick_sort.cpp:82</div></div>
<div class="ttc" id="amax_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/algorithm/max.html">std::max</a></div><div class="ttdeci">T max(T... args)</div></div>
<div class="ttc" id="aclass_fenwick_tree_html_a70f8c261393ca09ec1ad716ac806ead6"><div class="ttname"><a href="../../dd/d91/class_fenwick_tree.html#a70f8c261393ca09ec1ad716ac806ead6">FenwickTree::FenwickTree</a></div><div class="ttdeci">FenwickTree(int x)</div><div class="ttdef"><b>Definition:</b> fenwick_tree.cpp:39</div></div>
<div class="ttc" id="astruct_point_html_ae2d6fb1b3fd3a96169d963d62e37130a"><div class="ttname"><a href="../../d8/dc8/struct_point.html#ae2d6fb1b3fd3a96169d963d62e37130a">Point::Point</a></div><div class="ttdeci">Point(double a=0.f, double b=0.f)</div><div class="ttdef"><b>Definition:</b> smallest_circle.cpp:23</div></div>
<div class="ttc" id="aprimality__test_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../da/d7b/primality__test_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdef"><b>Definition:</b> primality_test.cpp:31</div></div>
<div class="ttc" id="astructlist_html_a1900fe79e875e2838625b2eb60837f8f"><div class="ttname"><a href="../../d8/d10/structlist.html#a1900fe79e875e2838625b2eb60837f8f">list::next</a></div><div class="ttdeci">struct list * next</div><div class="ttdoc">pointer to next link in the chain</div><div class="ttdef"><b>Definition:</b> hash_search.cpp:31</div></div>
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