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<a href="#pub-static-methods">Static Public Member Functions</a> |
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<a href="#pri-static-methods">Static Private Member Functions</a> |
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<a href="../../d0/dd5/classciphers_1_1_hill_cipher-members.html">List of all members</a> </div>
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<div class="headertitle"><div class="title">ciphers::HillCipher Class Reference</div></div>
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<p>Implementation of <a href="https://en.wikipedia.org/wiki/Hill_cipher" target="_blank">Hill Cipher</a> algorithm.
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<a href="#details">More...</a></p>
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<table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="pub-static-methods" name="pub-static-methods"></a>
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Static Public Member Functions</h2></td></tr>
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<tr class="memitem:a642f70fb54cb50b00fb6df7c3f2b120e" id="r_a642f70fb54cb50b00fb6df7c3f2b120e"><td class="memItemLeft" align="right" valign="top">static <a class="el" href="../../d1/dbe/lu__decomposition_8h.html#ac029b636b353cefbb18b2fcc71e427e4">matrix</a>< int > </td><td class="memItemRight" valign="bottom"><a class="el" href="#a642f70fb54cb50b00fb6df7c3f2b120e">generate_encryption_key</a> (size_t size, int limit1=0, int limit2=10)</td></tr>
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<tr class="memdesc:a642f70fb54cb50b00fb6df7c3f2b120e"><td class="mdescLeft"> </td><td class="mdescRight">Generate encryption matrix of a given size. Larger size matrices are difficult to generate but provide more security. Important conditions are: <br /></td></tr>
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<tr class="separator:a642f70fb54cb50b00fb6df7c3f2b120e"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ab02c7563889bf1e363deb8e21967b706" id="r_ab02c7563889bf1e363deb8e21967b706"><td class="memItemLeft" align="right" valign="top">static <a class="el" href="../../d1/dbe/lu__decomposition_8h.html#ac029b636b353cefbb18b2fcc71e427e4">matrix</a>< int > </td><td class="memItemRight" valign="bottom"><a class="el" href="#ab02c7563889bf1e363deb8e21967b706">generate_decryption_key</a> (<a class="el" href="../../d1/dbe/lu__decomposition_8h.html#ac029b636b353cefbb18b2fcc71e427e4">matrix</a>< int > const &encrypt_key)</td></tr>
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<tr class="memdesc:ab02c7563889bf1e363deb8e21967b706"><td class="mdescLeft"> </td><td class="mdescRight">Generate decryption matrix from an encryption matrix key. <br /></td></tr>
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<tr class="separator:ab02c7563889bf1e363deb8e21967b706"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a405b0a28d66a61239d3565d5256f9cb5" id="r_a405b0a28d66a61239d3565d5256f9cb5"><td class="memItemLeft" align="right" valign="top">static <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/utility/pair.html">std::pair</a>< <a class="el" href="../../d1/dbe/lu__decomposition_8h.html#ac029b636b353cefbb18b2fcc71e427e4">matrix</a>< int >, <a class="el" href="../../d1/dbe/lu__decomposition_8h.html#ac029b636b353cefbb18b2fcc71e427e4">matrix</a>< int > > </td><td class="memItemRight" valign="bottom"><a class="el" href="#a405b0a28d66a61239d3565d5256f9cb5">generate_keys</a> (size_t size, int limit1=0, int limit2=10)</td></tr>
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<tr class="memdesc:a405b0a28d66a61239d3565d5256f9cb5"><td class="mdescLeft"> </td><td class="mdescRight">Generate encryption and decryption key pair. <br /></td></tr>
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<tr class="separator:a405b0a28d66a61239d3565d5256f9cb5"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:aa8bbb6e4a5749f6008b06602d5103917" id="r_aa8bbb6e4a5749f6008b06602d5103917"><td class="memItemLeft" align="right" valign="top">static const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="#aa8bbb6e4a5749f6008b06602d5103917">encrypt_text</a> (const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> &text, const <a class="el" href="../../d1/dbe/lu__decomposition_8h.html#ac029b636b353cefbb18b2fcc71e427e4">matrix</a>< int > &encrypt_key)</td></tr>
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<tr class="memdesc:aa8bbb6e4a5749f6008b06602d5103917"><td class="mdescLeft"> </td><td class="mdescRight">Encrypt a given text using a given key. <br /></td></tr>
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<tr class="separator:aa8bbb6e4a5749f6008b06602d5103917"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a427acfac1dbff3f48a2b071d449d965b" id="r_a427acfac1dbff3f48a2b071d449d965b"><td class="memItemLeft" align="right" valign="top">static const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="#a427acfac1dbff3f48a2b071d449d965b">decrypt_text</a> (const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> &text, const <a class="el" href="../../d1/dbe/lu__decomposition_8h.html#ac029b636b353cefbb18b2fcc71e427e4">matrix</a>< int > &decrypt_key)</td></tr>
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<tr class="memdesc:a427acfac1dbff3f48a2b071d449d965b"><td class="mdescLeft"> </td><td class="mdescRight">Decrypt a given text using a given key. <br /></td></tr>
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<tr class="separator:a427acfac1dbff3f48a2b071d449d965b"><td class="memSeparator" colspan="2"> </td></tr>
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</table><table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="pri-static-methods" name="pri-static-methods"></a>
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Static Private Member Functions</h2></td></tr>
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<tr class="memitem:a629be41c1ab78850963e4ce14e1d11d9" id="r_a629be41c1ab78850963e4ce14e1d11d9"><td class="memTemplParams" colspan="2">template<typename T1 , typename T2 > </td></tr>
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<tr class="memitem:a629be41c1ab78850963e4ce14e1d11d9"><td class="memTemplItemLeft" align="right" valign="top">static const T2 </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="#a629be41c1ab78850963e4ce14e1d11d9">rand_range</a> (T1 a, T1 b)</td></tr>
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<tr class="memdesc:a629be41c1ab78850963e4ce14e1d11d9"><td class="mdescLeft"> </td><td class="mdescRight">Function to generate a random integer in a given interval. <br /></td></tr>
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<tr class="separator:a629be41c1ab78850963e4ce14e1d11d9"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a716d0313141499d16f57c0c107f04395" id="r_a716d0313141499d16f57c0c107f04395"><td class="memTemplParams" colspan="2">template<typename T1 , typename T2 > </td></tr>
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<tr class="memitem:a716d0313141499d16f57c0c107f04395"><td class="memTemplItemLeft" align="right" valign="top">static double </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="#a716d0313141499d16f57c0c107f04395">rand_range</a> (<a class="el" href="../../d1/dbe/lu__decomposition_8h.html#ac029b636b353cefbb18b2fcc71e427e4">matrix</a>< T2 > *M, T1 a, T1 b)</td></tr>
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<tr class="memdesc:a716d0313141499d16f57c0c107f04395"><td class="mdescLeft"> </td><td class="mdescRight">Function overload to fill a matrix with random integers in a given interval. <br /></td></tr>
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<tr class="separator:a716d0313141499d16f57c0c107f04395"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a7760f3665651a0a37937c79c62f219c0" id="r_a7760f3665651a0a37937c79c62f219c0"><td class="memTemplParams" colspan="2">template<typename T > </td></tr>
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<tr class="memitem:a7760f3665651a0a37937c79c62f219c0"><td class="memTemplItemLeft" align="right" valign="top">static const T </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="#a7760f3665651a0a37937c79c62f219c0">gcd</a> (T a, T b)</td></tr>
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<tr class="memdesc:a7760f3665651a0a37937c79c62f219c0"><td class="mdescLeft"> </td><td class="mdescRight">Compute <a href="https://en.wikipedia.org/wiki/Greatest_common_divisor" target="_blank">GCD</a> of two integers using Euler's algorithm. <br /></td></tr>
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<tr class="separator:a7760f3665651a0a37937c79c62f219c0"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ad36cbcc7a458b3f3a2af0c4aa1126590" id="r_ad36cbcc7a458b3f3a2af0c4aa1126590"><td class="memItemLeft" align="right" valign="top">static const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< uint8_t > </td><td class="memItemRight" valign="bottom"><a class="el" href="#ad36cbcc7a458b3f3a2af0c4aa1126590">mat_mul</a> (const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< uint8_t > &vector, const <a class="el" href="../../d1/dbe/lu__decomposition_8h.html#ac029b636b353cefbb18b2fcc71e427e4">matrix</a>< int > &key)</td></tr>
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<tr class="memdesc:ad36cbcc7a458b3f3a2af0c4aa1126590"><td class="mdescLeft"> </td><td class="mdescRight">helper function to perform vector multiplication with encryption or decryption matrix <br /></td></tr>
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<tr class="separator:ad36cbcc7a458b3f3a2af0c4aa1126590"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a12f727cca9e21f9539cd74b6603adf0c" id="r_a12f727cca9e21f9539cd74b6603adf0c"><td class="memItemLeft" align="right" valign="top">static char </td><td class="memItemRight" valign="bottom"><a class="el" href="#a12f727cca9e21f9539cd74b6603adf0c">get_idx_char</a> (const uint8_t idx)</td></tr>
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<tr class="memdesc:a12f727cca9e21f9539cd74b6603adf0c"><td class="mdescLeft"> </td><td class="mdescRight">Get the character at a given index in the <a class="el" href="../../d6/d4e/namespaceciphers.html#ab9aec0ccf4b6809f652bb540be87c216">STRKEY</a>. <br /></td></tr>
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<tr class="separator:a12f727cca9e21f9539cd74b6603adf0c"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ae77cad522fa44b8c985779a7188d2f41" id="r_ae77cad522fa44b8c985779a7188d2f41"><td class="memItemLeft" align="right" valign="top">static uint8_t </td><td class="memItemRight" valign="bottom"><a class="el" href="#ae77cad522fa44b8c985779a7188d2f41">get_char_idx</a> (const char ch)</td></tr>
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<tr class="memdesc:ae77cad522fa44b8c985779a7188d2f41"><td class="mdescLeft"> </td><td class="mdescRight">Get the index of a character in the <a class="el" href="../../d6/d4e/namespaceciphers.html#ab9aec0ccf4b6809f652bb540be87c216">STRKEY</a>. <br /></td></tr>
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<tr class="separator:ae77cad522fa44b8c985779a7188d2f41"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ad667fa0860977f6d6d443fa1dbcd80aa" id="r_ad667fa0860977f6d6d443fa1dbcd80aa"><td class="memItemLeft" align="right" valign="top">static const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="#ad667fa0860977f6d6d443fa1dbcd80aa">codec</a> (const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> &text, const <a class="el" href="../../d1/dbe/lu__decomposition_8h.html#ac029b636b353cefbb18b2fcc71e427e4">matrix</a>< int > &key)</td></tr>
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<tr class="memdesc:ad667fa0860977f6d6d443fa1dbcd80aa"><td class="mdescLeft"> </td><td class="mdescRight">Convenience function to perform block cipher operations. The operations are identical for both encryption and decryption. <br /></td></tr>
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<tr class="separator:ad667fa0860977f6d6d443fa1dbcd80aa"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a2eb58750b978a93ac5e6eb29e3e570b7" id="r_a2eb58750b978a93ac5e6eb29e3e570b7"><td class="memTemplParams" colspan="2">template<typename T > </td></tr>
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<tr class="memitem:a2eb58750b978a93ac5e6eb29e3e570b7"><td class="memTemplItemLeft" align="right" valign="top">static <a class="el" href="../../d1/dbe/lu__decomposition_8h.html#ac029b636b353cefbb18b2fcc71e427e4">matrix</a>< double > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="#a2eb58750b978a93ac5e6eb29e3e570b7">get_inverse</a> (<a class="el" href="../../d1/dbe/lu__decomposition_8h.html#ac029b636b353cefbb18b2fcc71e427e4">matrix</a>< T > const &A)</td></tr>
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<tr class="separator:a2eb58750b978a93ac5e6eb29e3e570b7"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a63e7b8e92dff8b9260d6d21c31ecebd0" id="r_a63e7b8e92dff8b9260d6d21c31ecebd0"><td class="memItemLeft" align="right" valign="top">static int </td><td class="memItemRight" valign="bottom"><a class="el" href="#a63e7b8e92dff8b9260d6d21c31ecebd0">modulo</a> (int a, int b)</td></tr>
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</table>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
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<div class="textblock"><p>Implementation of <a href="https://en.wikipedia.org/wiki/Hill_cipher" target="_blank">Hill Cipher</a> algorithm. </p>
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</div><h2 class="groupheader">Member Function Documentation</h2>
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<a id="ad667fa0860977f6d6d443fa1dbcd80aa" name="ad667fa0860977f6d6d443fa1dbcd80aa"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#ad667fa0860977f6d6d443fa1dbcd80aa">◆ </a></span>codec()</h2>
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<td class="memname">static const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> ciphers::HillCipher::codec </td>
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<td>(</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> &</td> <td class="paramname"><span class="paramname"><em>text</em></span>, </td>
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<td class="paramtype">const <a class="el" href="../../d1/dbe/lu__decomposition_8h.html#ac029b636b353cefbb18b2fcc71e427e4">matrix</a>< int > &</td> <td class="paramname"><span class="paramname"><em>key</em></span> )</td>
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<p>Convenience function to perform block cipher operations. The operations are identical for both encryption and decryption. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<tr><td class="paramname">text</td><td>input text to encrypt or decrypt </td></tr>
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<dl class="section return"><dt>Returns</dt><dd>encrypted/decrypted output </dd></dl>
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<div class="fragment"><div class="line"><span class="lineno"> 211</span> {</div>
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<div class="line"><span class="lineno"> 212</span> <span class="keywordtype">size_t</span> text_len = text.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string/size.html">length</a>();</div>
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<div class="line"><span class="lineno"> 213</span> <span class="keywordtype">size_t</span> key_len = key.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>();</div>
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<div class="line"><span class="lineno"> 214</span> </div>
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<div class="line"><span class="lineno"> 215</span> <span class="comment">// length of output string must be a multiple of key_len</span></div>
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<div class="line"><span class="lineno"> 216</span> <span class="comment">// create output string and initialize with '\0' character</span></div>
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<div class="line"><span class="lineno"> 217</span> <span class="keywordtype">size_t</span> L2 = text_len % key_len == 0</div>
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<div class="line"><span class="lineno"> 218</span> ? text_len</div>
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<div class="line"><span class="lineno"> 219</span> : text_len + key_len - (text_len % key_len);</div>
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<div class="line"><span class="lineno"> 220</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> coded_text(L2, <span class="charliteral">'\0'</span>);</div>
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<div class="line"><span class="lineno"> 221</span> </div>
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<div class="line"><span class="lineno"> 222</span> <span class="comment">// temporary array for batch processing</span></div>
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<div class="line"><span class="lineno"> 223</span> <span class="keywordtype">int</span> i;</div>
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<div class="line"><span class="lineno"> 224</span><span class="preprocessor">#ifdef _OPENMP</span></div>
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<div class="line"><span class="lineno"> 225</span><span class="preprocessor">#pragma parallel omp for private(i)</span></div>
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<div class="line"><span class="lineno"> 226</span><span class="preprocessor">#endif</span></div>
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<div class="line"><span class="lineno"> 227</span> <span class="keywordflow">for</span> (i = 0; i < L2 - key_len + 1; i += key_len) {</div>
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<div class="line"><span class="lineno"> 228</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray<uint8_t></a> batch_int(key_len);</div>
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<div class="line"><span class="lineno"> 229</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> j = 0; j < key_len; j++) {</div>
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<div class="line"><span class="lineno"> 230</span> batch_int[j] = <a class="code hl_function" href="#ae77cad522fa44b8c985779a7188d2f41">get_char_idx</a>(text[i + j]);</div>
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<div class="line"><span class="lineno"> 231</span> }</div>
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<div class="line"><span class="lineno"> 232</span> </div>
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<div class="line"><span class="lineno"> 233</span> batch_int = <a class="code hl_function" href="#ad36cbcc7a458b3f3a2af0c4aa1126590">mat_mul</a>(batch_int, key);</div>
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<div class="line"><span class="lineno"> 234</span> </div>
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<div class="line"><span class="lineno"> 235</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> j = 0; j < key_len; j++) {</div>
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<div class="line"><span class="lineno"> 236</span> coded_text[i + j] =</div>
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<div class="line"><span class="lineno"> 237</span> <a class="code hl_variable" href="../../d6/d4e/namespaceciphers.html#ab9aec0ccf4b6809f652bb540be87c216">STRKEY</a>[batch_int[j]]; <span class="comment">// get character at key</span></div>
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<div class="line"><span class="lineno"> 238</span> }</div>
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<div class="line"><span class="lineno"> 239</span> }</div>
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<div class="line"><span class="lineno"> 240</span> </div>
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<div class="line"><span class="lineno"> 241</span> <span class="keywordflow">return</span> coded_text;</div>
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<div class="line"><span class="lineno"> 242</span> }</div>
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<div class="ttc" id="abasic_string_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a></div></div>
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<div class="ttc" id="aclassciphers_1_1_hill_cipher_html_ad36cbcc7a458b3f3a2af0c4aa1126590"><div class="ttname"><a href="#ad36cbcc7a458b3f3a2af0c4aa1126590">ciphers::HillCipher::mat_mul</a></div><div class="ttdeci">static const std::valarray< uint8_t > mat_mul(const std::valarray< uint8_t > &vector, const matrix< int > &key)</div><div class="ttdoc">helper function to perform vector multiplication with encryption or decryption matrix</div><div class="ttdef"><b>Definition</b> hill_cipher.cpp:159</div></div>
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<div class="ttc" id="aclassciphers_1_1_hill_cipher_html_ae77cad522fa44b8c985779a7188d2f41"><div class="ttname"><a href="#ae77cad522fa44b8c985779a7188d2f41">ciphers::HillCipher::get_char_idx</a></div><div class="ttdeci">static uint8_t get_char_idx(const char ch)</div><div class="ttdoc">Get the index of a character in the STRKEY.</div><div class="ttdef"><b>Definition</b> hill_cipher.cpp:190</div></div>
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<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>
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<div class="ttc" id="asize_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/string/basic_string/size.html">std::string::length</a></div><div class="ttdeci">T length(T... args)</div></div>
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<div class="center"><iframe scrolling="no" frameborder="0" src="../../d6/d26/classciphers_1_1_hill_cipher_ad667fa0860977f6d6d443fa1dbcd80aa_cgraph.svg" width="479" height="188"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe></div>
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<h2 class="memtitle"><span class="permalink"><a href="#a427acfac1dbff3f48a2b071d449d965b">◆ </a></span>decrypt_text()</h2>
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<td class="memname">static const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> ciphers::HillCipher::decrypt_text </td>
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<td>(</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> &</td> <td class="paramname"><span class="paramname"><em>text</em></span>, </td>
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<td class="paramtype">const <a class="el" href="../../d1/dbe/lu__decomposition_8h.html#ac029b636b353cefbb18b2fcc71e427e4">matrix</a>< int > &</td> <td class="paramname"><span class="paramname"><em>decrypt_key</em></span> )</td>
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<p>Decrypt a given text using a given key. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramname">text</td><td>string to decrypt </td></tr>
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<tr><td class="paramname">decrypt_key</td><td>key for decryption </td></tr>
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<dl class="section return"><dt>Returns</dt><dd>decrypted text </dd></dl>
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<div class="fragment"><div class="line"><span class="lineno"> 458</span> {</div>
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<div class="line"><span class="lineno"> 459</span> <span class="keywordflow">return</span> <a class="code hl_function" href="#ad667fa0860977f6d6d443fa1dbcd80aa">codec</a>(text, decrypt_key);</div>
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<div class="line"><span class="lineno"> 460</span> }</div>
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<div class="ttc" id="aclassciphers_1_1_hill_cipher_html_ad667fa0860977f6d6d443fa1dbcd80aa"><div class="ttname"><a href="#ad667fa0860977f6d6d443fa1dbcd80aa">ciphers::HillCipher::codec</a></div><div class="ttdeci">static const std::string codec(const std::string &text, const matrix< int > &key)</div><div class="ttdoc">Convenience function to perform block cipher operations. The operations are identical for both encryp...</div><div class="ttdef"><b>Definition</b> hill_cipher.cpp:210</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#aa8bbb6e4a5749f6008b06602d5103917">◆ </a></span>encrypt_text()</h2>
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<td class="memname">static const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> ciphers::HillCipher::encrypt_text </td>
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<td>(</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> &</td> <td class="paramname"><span class="paramname"><em>text</em></span>, </td>
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<td class="paramtype">const <a class="el" href="../../d1/dbe/lu__decomposition_8h.html#ac029b636b353cefbb18b2fcc71e427e4">matrix</a>< int > &</td> <td class="paramname"><span class="paramname"><em>encrypt_key</em></span> )</td>
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<p>Encrypt a given text using a given key. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramname">text</td><td>string to encrypt </td></tr>
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<tr><td class="paramname">encrypt_key</td><td>key for encryption </td></tr>
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<dl class="section return"><dt>Returns</dt><dd>encrypted text </dd></dl>
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<div class="fragment"><div class="line"><span class="lineno"> 446</span> {</div>
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<div class="line"><span class="lineno"> 447</span> <span class="keywordflow">return</span> <a class="code hl_function" href="#ad667fa0860977f6d6d443fa1dbcd80aa">codec</a>(text, encrypt_key);</div>
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<div class="line"><span class="lineno"> 448</span> }</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a7760f3665651a0a37937c79c62f219c0">◆ </a></span>gcd()</h2>
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template<typename T > </div>
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<td class="memname">static const T ciphers::HillCipher::gcd </td>
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<td>(</td>
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<td class="paramtype">T</td> <td class="paramname"><span class="paramname"><em>a</em></span>, </td>
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<p>Compute <a href="https://en.wikipedia.org/wiki/Greatest_common_divisor" target="_blank">GCD</a> of two integers using Euler's algorithm. </p>
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<tr><td class="paramname">a</td><td>first number </td></tr>
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<dl class="section return"><dt>Returns</dt><dd>GCD of \(a\) and \(b\) </dd></dl>
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<div class="fragment"><div class="line"><span class="lineno"> 138</span> {</div>
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<div class="line"><span class="lineno"> 139</span> <span class="keywordflow">if</span> (b > a) <span class="comment">// ensure always a < b</span></div>
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<div class="line"><span class="lineno"> 140</span> <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/swap.html">std::swap</a>(a, b);</div>
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<div class="line"><span class="lineno"> 141</span> </div>
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<div class="line"><span class="lineno"> 142</span> <span class="keywordflow">while</span> (b != 0) {</div>
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<div class="line"><span class="lineno"> 143</span> T tmp = b;</div>
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<div class="line"><span class="lineno"> 144</span> b = a % b;</div>
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<div class="line"><span class="lineno"> 145</span> a = tmp;</div>
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<div class="line"><span class="lineno"> 146</span> }</div>
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<div class="line"><span class="lineno"> 147</span> </div>
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<div class="line"><span class="lineno"> 148</span> <span class="keywordflow">return</span> a;</div>
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<div class="line"><span class="lineno"> 149</span> }</div>
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<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>
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<div class="center"><iframe scrolling="no" frameborder="0" src="../../d6/d26/classciphers_1_1_hill_cipher_a7760f3665651a0a37937c79c62f219c0_cgraph.svg" width="295" height="36"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe></div>
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<h2 class="memtitle"><span class="permalink"><a href="#ab02c7563889bf1e363deb8e21967b706">◆ </a></span>generate_decryption_key()</h2>
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<td class="memname">static <a class="el" href="../../d1/dbe/lu__decomposition_8h.html#ac029b636b353cefbb18b2fcc71e427e4">matrix</a>< int > ciphers::HillCipher::generate_decryption_key </td>
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<td>(</td>
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<td class="paramtype"><a class="el" href="../../d1/dbe/lu__decomposition_8h.html#ac029b636b353cefbb18b2fcc71e427e4">matrix</a>< int > const &</td> <td class="paramname"><span class="paramname"><em>encrypt_key</em></span></td><td>)</td>
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<p>Generate decryption matrix from an encryption matrix key. </p>
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<tr><td class="paramname">encrypt_key</td><td>encryption key for which to create a decrypt key </td></tr>
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<dl class="section return"><dt>Returns</dt><dd>Decryption martix </dd></dl>
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<div class="fragment"><div class="line"><span class="lineno"> 371</span> {</div>
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<div class="line"><span class="lineno"> 372</span> <span class="keywordtype">size_t</span> size = encrypt_key.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>();</div>
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<div class="line"><span class="lineno"> 373</span> <span class="keywordtype">int</span> L = <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/byte/strlen.html">std::strlen</a>(<a class="code hl_variable" href="../../d6/d4e/namespaceciphers.html#ab9aec0ccf4b6809f652bb540be87c216">STRKEY</a>);</div>
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<div class="line"><span class="lineno"> 374</span> </div>
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<div class="line"><span class="lineno"> 375</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">matrix<int></a> decrypt_key(size, <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray<int></a>(size));</div>
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<div class="line"><span class="lineno"> 376</span> <span class="keywordtype">int</span> det_encrypt = <span class="keyword">static_cast<</span><span class="keywordtype">int</span><span class="keyword">></span>(<a class="code hl_function" href="../../d1/dbe/lu__decomposition_8h.html#a3108d43bd32c6fb3b3c158476c51ba7f">determinant_lu</a>(encrypt_key));</div>
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<div class="line"><span class="lineno"> 377</span> </div>
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<div class="line"><span class="lineno"> 378</span> <span class="keywordtype">int</span> mat_determinant = det_encrypt < 0 ? det_encrypt % L : det_encrypt;</div>
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<div class="line"><span class="lineno"> 379</span> </div>
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<div class="line"><span class="lineno"> 380</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">matrix<double></a> tmp_inverse = <a class="code hl_function" href="#a2eb58750b978a93ac5e6eb29e3e570b7">get_inverse</a>(encrypt_key);</div>
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<div class="line"><span class="lineno"> 381</span> <span class="keywordtype">double</span> d2 = <a class="code hl_function" href="../../d1/dbe/lu__decomposition_8h.html#a3108d43bd32c6fb3b3c158476c51ba7f">determinant_lu</a>(decrypt_key);</div>
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<div class="line"><span class="lineno"> 382</span> </div>
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<div class="line"><span class="lineno"> 383</span> <span class="comment">// find co-prime factor for inversion</span></div>
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<div class="line"><span class="lineno"> 384</span> <span class="keywordtype">int</span> det_inv = -1;</div>
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<div class="line"><span class="lineno"> 385</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < L; i++) {</div>
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<div class="line"><span class="lineno"> 386</span> <span class="keywordflow">if</span> (modulo(mat_determinant * i, L) == 1) {</div>
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<div class="line"><span class="lineno"> 387</span> det_inv = i;</div>
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<div class="line"><span class="lineno"> 388</span> <span class="keywordflow">break</span>;</div>
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<div class="line"><span class="lineno"> 389</span> }</div>
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<div class="line"><span class="lineno"> 390</span> }</div>
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<div class="line"><span class="lineno"> 391</span> </div>
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<div class="line"><span class="lineno"> 392</span> <span class="keywordflow">if</span> (det_inv == -1) {</div>
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<div class="line"><span class="lineno"> 393</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cerr</a> << <span class="stringliteral">"Could not find a co-prime for inversion\n"</span>;</div>
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<div class="line"><span class="lineno"> 394</span> <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/utility/program/exit.html">std::exit</a>(EXIT_FAILURE);</div>
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<div class="line"><span class="lineno"> 395</span> }</div>
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<div class="line"><span class="lineno"> 396</span> </div>
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<div class="line"><span class="lineno"> 397</span> mat_determinant = det_inv * det_encrypt;</div>
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<div class="line"><span class="lineno"> 398</span> </div>
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<div class="line"><span class="lineno"> 399</span> <span class="comment">// perform modular inverse of encryption matrix</span></div>
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<div class="line"><span class="lineno"> 400</span> <span class="keywordtype">int</span> i;</div>
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<div class="line"><span class="lineno"> 401</span><span class="preprocessor">#ifdef _OPENMP</span></div>
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<div class="line"><span class="lineno"> 402</span><span class="preprocessor">#pragma parallel omp for private(i)</span></div>
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<div class="line"><span class="lineno"> 403</span><span class="preprocessor">#endif</span></div>
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<div class="line"><span class="lineno"> 404</span> <span class="keywordflow">for</span> (i = 0; i < size; i++) {</div>
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<div class="line"><span class="lineno"> 405</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j < size; j++) {</div>
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<div class="line"><span class="lineno"> 406</span> <span class="keywordtype">int</span> temp = <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/round.html">std::round</a>(tmp_inverse[i][j] * mat_determinant);</div>
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<div class="line"><span class="lineno"> 407</span> decrypt_key[i][j] = modulo(temp, L);</div>
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<div class="line"><span class="lineno"> 408</span> }</div>
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<div class="line"><span class="lineno"> 409</span> }</div>
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<div class="line"><span class="lineno"> 410</span> <span class="keywordflow">return</span> decrypt_key;</div>
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<div class="line"><span class="lineno"> 411</span> }</div>
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<div class="ttc" id="aexit_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/utility/program/exit.html">std::exit</a></div><div class="ttdeci">T exit(T... args)</div></div>
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<div class="ttc" id="alu__decomposition_8h_html_a3108d43bd32c6fb3b3c158476c51ba7f"><div class="ttname"><a href="../../d1/dbe/lu__decomposition_8h.html#a3108d43bd32c6fb3b3c158476c51ba7f">determinant_lu</a></div><div class="ttdeci">double determinant_lu(const matrix< T > &A)</div><div class="ttdef"><b>Definition</b> lu_decomposition.h:90</div></div>
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<div class="ttc" id="around_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/math/round.html">std::round</a></div><div class="ttdeci">T round(T... args)</div></div>
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<div class="ttc" id="astrlen_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/string/byte/strlen.html">std::strlen</a></div><div class="ttdeci">T strlen(T... args)</div></div>
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<div class="center"><div class="zoom"><iframe scrolling="no" frameborder="0" src="../../d6/d26/classciphers_1_1_hill_cipher_ab02c7563889bf1e363deb8e21967b706_cgraph.svg" width="100%" height="564"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe></div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#a642f70fb54cb50b00fb6df7c3f2b120e">◆ </a></span>generate_encryption_key()</h2>
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<td class="memname">static <a class="el" href="../../d1/dbe/lu__decomposition_8h.html#ac029b636b353cefbb18b2fcc71e427e4">matrix</a>< int > ciphers::HillCipher::generate_encryption_key </td>
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<td>(</td>
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<td class="paramtype">size_t</td> <td class="paramname"><span class="paramname"><em>size</em></span>, </td>
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<p>Generate encryption matrix of a given size. Larger size matrices are difficult to generate but provide more security. Important conditions are: </p>
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<ol type="1">
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<li>matrix should be invertible</li>
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<li>determinant must not have any common factors with the length of character key There is no head-fast way to generate hte matrix under the given numerical restrictions of the machine but the conditions added achieve the goals. Bigger the matrix, greater is the probability of the matrix being ill-defined.</li>
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<dl class="params"><dt>Parameters</dt><dd>
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<tr><td class="paramname">size</td><td>size of matrix (typically \(\text{size}\le10\)) </td></tr>
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<tr><td class="paramname">limit1</td><td>lower limit of range of random elements (default=0) </td></tr>
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<tr><td class="paramname">limit2</td><td>upper limit of range of random elements (default=10) </td></tr>
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<dl class="section return"><dt>Returns</dt><dd>Encryption martix </dd></dl>
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<div class="fragment"><div class="line"><span class="lineno"> 340</span> {</div>
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<div class="line"><span class="lineno"> 341</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">matrix<int></a> encrypt_key(size, <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray<int></a>(size));</div>
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<div class="line"><span class="lineno"> 342</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">matrix<int></a> min_mat = encrypt_key;</div>
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<div class="line"><span class="lineno"> 343</span> <span class="keywordtype">int</span> mat_determinant = -1; <span class="comment">// because matrix has only ints, the</span></div>
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<div class="line"><span class="lineno"> 344</span> <span class="comment">// determinant will also be an int</span></div>
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<div class="line"><span class="lineno"> 345</span> <span class="keywordtype">int</span> L = <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/byte/strlen.html">std::strlen</a>(<a class="code hl_variable" href="../../d6/d4e/namespaceciphers.html#ab9aec0ccf4b6809f652bb540be87c216">STRKEY</a>);</div>
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<div class="line"><span class="lineno"> 346</span> </div>
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<div class="line"><span class="lineno"> 347</span> <span class="keywordtype">double</span> dd;</div>
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<div class="line"><span class="lineno"> 348</span> <span class="keywordflow">do</span> {</div>
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<div class="line"><span class="lineno"> 349</span> <span class="comment">// keeping the random number range smaller generates better</span></div>
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<div class="line"><span class="lineno"> 350</span> <span class="comment">// defined matrices with more ease of cracking</span></div>
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<div class="line"><span class="lineno"> 351</span> dd = <a class="code hl_function" href="#a629be41c1ab78850963e4ce14e1d11d9">rand_range</a>(&encrypt_key, limit1, limit2);</div>
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<div class="line"><span class="lineno"> 352</span> mat_determinant = <span class="keyword">static_cast<</span><span class="keywordtype">int</span><span class="keyword">></span>(dd);</div>
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<div class="line"><span class="lineno"> 353</span> </div>
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<div class="line"><span class="lineno"> 354</span> <span class="keywordflow">if</span> (mat_determinant < 0)</div>
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<div class="line"><span class="lineno"> 355</span> mat_determinant = (mat_determinant % L);</div>
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<div class="line"><span class="lineno"> 356</span> } <span class="keywordflow">while</span> (std::abs(dd) > 1e3 || <span class="comment">// while ill-defined</span></div>
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<div class="line"><span class="lineno"> 357</span> dd < 0.1 || <span class="comment">// while singular or negative determinant</span></div>
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<div class="line"><span class="lineno"> 358</span> !<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/isfinite.html">std::isfinite</a>(dd) || <span class="comment">// while determinant is not finite</span></div>
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<div class="line"><span class="lineno"> 359</span> <a class="code hl_function" href="#a7760f3665651a0a37937c79c62f219c0">gcd</a>(mat_determinant, L) != 1); <span class="comment">// while no common factors</span></div>
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<div class="line"><span class="lineno"> 360</span> <span class="comment">// std::cout <<</span></div>
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<div class="line"><span class="lineno"> 361</span> </div>
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<div class="line"><span class="lineno"> 362</span> <span class="keywordflow">return</span> encrypt_key;</div>
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<div class="line"><span class="lineno"> 363</span> }</div>
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<div class="ttc" id="aclassciphers_1_1_hill_cipher_html_a629be41c1ab78850963e4ce14e1d11d9"><div class="ttname"><a href="#a629be41c1ab78850963e4ce14e1d11d9">ciphers::HillCipher::rand_range</a></div><div class="ttdeci">static const T2 rand_range(T1 a, T1 b)</div><div class="ttdoc">Function to generate a random integer in a given interval.</div><div class="ttdef"><b>Definition</b> hill_cipher.cpp:92</div></div>
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<div class="ttc" id="aclassciphers_1_1_hill_cipher_html_a7760f3665651a0a37937c79c62f219c0"><div class="ttname"><a href="#a7760f3665651a0a37937c79c62f219c0">ciphers::HillCipher::gcd</a></div><div class="ttdeci">static const T gcd(T a, T b)</div><div class="ttdoc">Compute GCD of two integers using Euler's algorithm.</div><div class="ttdef"><b>Definition</b> hill_cipher.cpp:138</div></div>
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<div class="ttc" id="aisfinite_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/math/isfinite.html">std::isfinite</a></div><div class="ttdeci">T isfinite(T... args)</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#a405b0a28d66a61239d3565d5256f9cb5">◆ </a></span>generate_keys()</h2>
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<td class="memname">static <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/utility/pair.html">std::pair</a>< <a class="el" href="../../d1/dbe/lu__decomposition_8h.html#ac029b636b353cefbb18b2fcc71e427e4">matrix</a>< int >, <a class="el" href="../../d1/dbe/lu__decomposition_8h.html#ac029b636b353cefbb18b2fcc71e427e4">matrix</a>< int > > ciphers::HillCipher::generate_keys </td>
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<td>(</td>
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<p>Generate encryption and decryption key pair. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<tr><td class="paramname">size</td><td>size of matrix key (typically \(\text{size}\le10\)) </td></tr>
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<tr><td class="paramname">limit1</td><td>lower limit of range of random elements (default=0) </td></tr>
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<dl class="section return"><dt>Returns</dt><dd><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/utility/pair.html">std::pair</a><matrix<int>, matrix<int>> encryption and decryption keys as a pair</dd></dl>
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<dl class="section see"><dt>See also</dt><dd><a class="el" href="#a642f70fb54cb50b00fb6df7c3f2b120e" title="Generate encryption matrix of a given size. Larger size matrices are difficult to generate but provid...">generate_encryption_key</a> </dd></dl>
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<div class="fragment"><div class="line"><span class="lineno"> 426</span> {</div>
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<div class="line"><span class="lineno"> 427</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">matrix<int></a> encrypt_key = <a class="code hl_function" href="#a642f70fb54cb50b00fb6df7c3f2b120e">generate_encryption_key</a>(size);</div>
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<div class="line"><span class="lineno"> 428</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">matrix<int></a> decrypt_key = <a class="code hl_function" href="#ab02c7563889bf1e363deb8e21967b706">generate_decryption_key</a>(encrypt_key);</div>
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<div class="line"><span class="lineno"> 429</span> <span class="keywordtype">double</span> det2 = <a class="code hl_function" href="../../d1/dbe/lu__decomposition_8h.html#a3108d43bd32c6fb3b3c158476c51ba7f">determinant_lu</a>(decrypt_key);</div>
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<div class="line"><span class="lineno"> 430</span> <span class="keywordflow">while</span> (std::abs(det2) < 0.1 || std::abs(det2) > 1e3) {</div>
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<div class="line"><span class="lineno"> 431</span> encrypt_key = <a class="code hl_function" href="#a642f70fb54cb50b00fb6df7c3f2b120e">generate_encryption_key</a>(size, limit1, limit2);</div>
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<div class="line"><span class="lineno"> 432</span> decrypt_key = <a class="code hl_function" href="#ab02c7563889bf1e363deb8e21967b706">generate_decryption_key</a>(encrypt_key);</div>
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<div class="line"><span class="lineno"> 433</span> det2 = <a class="code hl_function" href="../../d1/dbe/lu__decomposition_8h.html#a3108d43bd32c6fb3b3c158476c51ba7f">determinant_lu</a>(decrypt_key);</div>
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<div class="line"><span class="lineno"> 434</span> }</div>
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<div class="line"><span class="lineno"> 435</span> <span class="keywordflow">return</span> <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/utility/pair/make_pair.html">std::make_pair</a>(encrypt_key, decrypt_key);</div>
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<div class="line"><span class="lineno"> 436</span> }</div>
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<div class="ttc" id="aclassciphers_1_1_hill_cipher_html_a642f70fb54cb50b00fb6df7c3f2b120e"><div class="ttname"><a href="#a642f70fb54cb50b00fb6df7c3f2b120e">ciphers::HillCipher::generate_encryption_key</a></div><div class="ttdeci">static matrix< int > generate_encryption_key(size_t size, int limit1=0, int limit2=10)</div><div class="ttdoc">Generate encryption matrix of a given size. Larger size matrices are difficult to generate but provid...</div><div class="ttdef"><b>Definition</b> hill_cipher.cpp:339</div></div>
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<div class="ttc" id="aclassciphers_1_1_hill_cipher_html_ab02c7563889bf1e363deb8e21967b706"><div class="ttname"><a href="#ab02c7563889bf1e363deb8e21967b706">ciphers::HillCipher::generate_decryption_key</a></div><div class="ttdeci">static matrix< int > generate_decryption_key(matrix< int > const &encrypt_key)</div><div class="ttdoc">Generate decryption matrix from an encryption matrix key.</div><div class="ttdef"><b>Definition</b> hill_cipher.cpp:371</div></div>
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<div class="ttc" id="amake_pair_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/utility/pair/make_pair.html">std::make_pair</a></div><div class="ttdeci">T make_pair(T... args)</div></div>
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<div class="center"><div class="zoom"><iframe scrolling="no" frameborder="0" src="../../d6/d26/classciphers_1_1_hill_cipher_a405b0a28d66a61239d3565d5256f9cb5_cgraph.svg" width="100%" height="600"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe></div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#ae77cad522fa44b8c985779a7188d2f41">◆ </a></span>get_char_idx()</h2>
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<td class="memname">static uint8_t ciphers::HillCipher::get_char_idx </td>
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<td class="paramtype">const char</td> <td class="paramname"><span class="paramname"><em>ch</em></span></td><td>)</td>
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<p>Get the index of a character in the <a class="el" href="../../d6/d4e/namespaceciphers.html#ab9aec0ccf4b6809f652bb540be87c216">STRKEY</a>. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<tr><td class="paramname">ch</td><td>character to search </td></tr>
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<dl class="section return"><dt>Returns</dt><dd>index of character </dd></dl>
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<div class="fragment"><div class="line"><span class="lineno"> 190</span> {</div>
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<div class="line"><span class="lineno"> 191</span> <span class="keywordtype">size_t</span> L = <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/byte/strlen.html">std::strlen</a>(<a class="code hl_variable" href="../../d6/d4e/namespaceciphers.html#ab9aec0ccf4b6809f652bb540be87c216">STRKEY</a>);</div>
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<div class="line"><span class="lineno"> 192</span> </div>
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<div class="line"><span class="lineno"> 193</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> idx = 0; idx <= L; idx++)</div>
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<div class="line"><span class="lineno"> 194</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="../../d6/d4e/namespaceciphers.html#ab9aec0ccf4b6809f652bb540be87c216">STRKEY</a>[idx] == ch)</div>
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<div class="line"><span class="lineno"> 195</span> <span class="keywordflow">return</span> idx;</div>
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<div class="line"><span class="lineno"> 196</span> </div>
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<div class="line"><span class="lineno"> 197</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cerr</a> << __func__ << <span class="stringliteral">":"</span> << __LINE__ << <span class="stringliteral">": ("</span> << ch</div>
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<div class="line"><span class="lineno"> 198</span> << <span class="stringliteral">") Should not reach here!\n"</span>;</div>
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<div class="line"><span class="lineno"> 199</span> <span class="keywordflow">return</span> 0;</div>
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<div class="line"><span class="lineno"> 200</span> }</div>
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<div class="center"><iframe scrolling="no" frameborder="0" src="../../d6/d26/classciphers_1_1_hill_cipher_ae77cad522fa44b8c985779a7188d2f41_cgraph.svg" width="267" height="52"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe></div>
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<h2 class="memtitle"><span class="permalink"><a href="#a12f727cca9e21f9539cd74b6603adf0c">◆ </a></span>get_idx_char()</h2>
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<td class="memname">static char ciphers::HillCipher::get_idx_char </td>
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<td class="paramtype">const uint8_t</td> <td class="paramname"><span class="paramname"><em>idx</em></span></td><td>)</td>
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<p>Get the character at a given index in the <a class="el" href="../../d6/d4e/namespaceciphers.html#ab9aec0ccf4b6809f652bb540be87c216">STRKEY</a>. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<tr><td class="paramname">idx</td><td>index value </td></tr>
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<dl class="section return"><dt>Returns</dt><dd>character at the index </dd></dl>
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<div class="fragment"><div class="line"><span class="lineno"> 182</span>{ <span class="keywordflow">return</span> <a class="code hl_variable" href="../../d6/d4e/namespaceciphers.html#ab9aec0ccf4b6809f652bb540be87c216">STRKEY</a>[idx]; }</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a2eb58750b978a93ac5e6eb29e3e570b7">◆ </a></span>get_inverse()</h2>
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template<typename T > </div>
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<td class="memname">static <a class="el" href="../../d1/dbe/lu__decomposition_8h.html#ac029b636b353cefbb18b2fcc71e427e4">matrix</a>< double > ciphers::HillCipher::get_inverse </td>
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<td class="paramtype"><a class="el" href="../../d1/dbe/lu__decomposition_8h.html#ac029b636b353cefbb18b2fcc71e427e4">matrix</a>< T > const &</td> <td class="paramname"><span class="paramname"><em>A</em></span></td><td>)</td>
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<p>Get matrix inverse using Row-transformations. Given matrix must be a square and non-singular. </p><dl class="section return"><dt>Returns</dt><dd>inverse matrix </dd></dl>
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<div class="fragment"><div class="line"><span class="lineno"> 250</span> {</div>
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<div class="line"><span class="lineno"> 251</span> <span class="comment">// Assuming A is square matrix</span></div>
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<div class="line"><span class="lineno"> 252</span> <span class="keywordtype">size_t</span> <a class="code hl_variable" href="../../d6/d42/data__structures_2sparse__table_8cpp.html#a10f3ffb3f6f7e1b83d556b9c8de89a5d">N</a> = A.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>();</div>
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<div class="line"><span class="lineno"> 253</span> </div>
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<div class="line"><span class="lineno"> 254</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">matrix<double></a> inverse(N, <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray<double></a>(N));</div>
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<div class="line"><span class="lineno"> 255</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> row = 0; row < <a class="code hl_variable" href="../../d6/d42/data__structures_2sparse__table_8cpp.html#a10f3ffb3f6f7e1b83d556b9c8de89a5d">N</a>; row++) {</div>
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<div class="line"><span class="lineno"> 256</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> col = 0; col < <a class="code hl_variable" href="../../d6/d42/data__structures_2sparse__table_8cpp.html#a10f3ffb3f6f7e1b83d556b9c8de89a5d">N</a>; col++) {</div>
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<div class="line"><span class="lineno"> 257</span> <span class="comment">// create identity matrix</span></div>
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<div class="line"><span class="lineno"> 258</span> inverse[row][col] = (row == col) ? 1.f : 0.f;</div>
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<div class="line"><span class="lineno"> 259</span> }</div>
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<div class="line"><span class="lineno"> 260</span> }</div>
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<div class="line"><span class="lineno"> 261</span> </div>
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<div class="line"><span class="lineno"> 262</span> <span class="keywordflow">if</span> (A.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>() != A[0].size()) {</div>
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<div class="line"><span class="lineno"> 263</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cerr</a> << <span class="stringliteral">"A must be a square matrix!"</span> << <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><span class="lineno"> 264</span> <span class="keywordflow">return</span> inverse;</div>
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<div class="line"><span class="lineno"> 265</span> }</div>
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<div class="line"><span class="lineno"> 266</span> </div>
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<div class="line"><span class="lineno"> 267</span> <span class="comment">// preallocate a temporary matrix identical to A</span></div>
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<div class="line"><span class="lineno"> 268</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">matrix<double></a> temp(N, <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray<double></a>(N));</div>
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<div class="line"><span class="lineno"> 269</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> row = 0; row < <a class="code hl_variable" href="../../d6/d42/data__structures_2sparse__table_8cpp.html#a10f3ffb3f6f7e1b83d556b9c8de89a5d">N</a>; row++) {</div>
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<div class="line"><span class="lineno"> 270</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> col = 0; col < <a class="code hl_variable" href="../../d6/d42/data__structures_2sparse__table_8cpp.html#a10f3ffb3f6f7e1b83d556b9c8de89a5d">N</a>; col++)</div>
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<div class="line"><span class="lineno"> 271</span> temp[row][col] = <span class="keyword">static_cast<</span><span class="keywordtype">double</span><span class="keyword">></span>(A[row][col]);</div>
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<div class="line"><span class="lineno"> 272</span> }</div>
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<div class="line"><span class="lineno"> 273</span> </div>
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<div class="line"><span class="lineno"> 274</span> <span class="comment">// start transformations</span></div>
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<div class="line"><span class="lineno"> 275</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> row = 0; row < <a class="code hl_variable" href="../../d6/d42/data__structures_2sparse__table_8cpp.html#a10f3ffb3f6f7e1b83d556b9c8de89a5d">N</a>; row++) {</div>
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<div class="line"><span class="lineno"> 276</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> row2 = row; row2 < <a class="code hl_variable" href="../../d6/d42/data__structures_2sparse__table_8cpp.html#a10f3ffb3f6f7e1b83d556b9c8de89a5d">N</a> && temp[row][row] == 0; row2++) {</div>
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<div class="line"><span class="lineno"> 277</span> <span class="comment">// this to ensure diagonal elements are not 0</span></div>
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<div class="line"><span class="lineno"> 278</span> temp[row] = temp[row] + temp[row2];</div>
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<div class="line"><span class="lineno"> 279</span> inverse[row] = inverse[row] + inverse[row2];</div>
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<div class="line"><span class="lineno"> 280</span> }</div>
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<div class="line"><span class="lineno"> 281</span> </div>
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<div class="line"><span class="lineno"> 282</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> col2 = row; col2 < <a class="code hl_variable" href="../../d6/d42/data__structures_2sparse__table_8cpp.html#a10f3ffb3f6f7e1b83d556b9c8de89a5d">N</a> && temp[row][row] == 0; col2++) {</div>
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<div class="line"><span class="lineno"> 283</span> <span class="comment">// this to further ensure diagonal elements are not 0</span></div>
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<div class="line"><span class="lineno"> 284</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> row2 = 0; row2 < <a class="code hl_variable" href="../../d6/d42/data__structures_2sparse__table_8cpp.html#a10f3ffb3f6f7e1b83d556b9c8de89a5d">N</a>; row2++) {</div>
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<div class="line"><span class="lineno"> 285</span> temp[row2][row] = temp[row2][row] + temp[row2][col2];</div>
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<div class="line"><span class="lineno"> 286</span> inverse[row2][row] =</div>
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<div class="line"><span class="lineno"> 287</span> inverse[row2][row] + inverse[row2][col2];</div>
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<div class="line"><span class="lineno"> 288</span> }</div>
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<div class="line"><span class="lineno"> 289</span> }</div>
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<div class="line"><span class="lineno"> 290</span> </div>
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<div class="line"><span class="lineno"> 291</span> <span class="keywordflow">if</span> (temp[row][row] == 0) {</div>
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<div class="line"><span class="lineno"> 292</span> <span class="comment">// Probably a low-rank matrix and hence singular</span></div>
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<div class="line"><span class="lineno"> 293</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cerr</a> << <span class="stringliteral">"Low-rank matrix, no inverse!"</span> << <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><span class="lineno"> 294</span> <span class="keywordflow">return</span> inverse;</div>
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<div class="line"><span class="lineno"> 295</span> }</div>
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<div class="line"><span class="lineno"> 296</span> </div>
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<div class="line"><span class="lineno"> 297</span> <span class="comment">// set diagonal to 1</span></div>
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<div class="line"><span class="lineno"> 298</span> <span class="keywordtype">double</span> divisor = temp[row][row];</div>
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<div class="line"><span class="lineno"> 299</span> temp[row] = temp[row] / divisor;</div>
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<div class="line"><span class="lineno"> 300</span> inverse[row] = inverse[row] / divisor;</div>
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<div class="line"><span class="lineno"> 301</span> <span class="comment">// Row transformations</span></div>
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<div class="line"><span class="lineno"> 302</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> row2 = 0; row2 < <a class="code hl_variable" href="../../d6/d42/data__structures_2sparse__table_8cpp.html#a10f3ffb3f6f7e1b83d556b9c8de89a5d">N</a>; row2++) {</div>
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<div class="line"><span class="lineno"> 303</span> <span class="keywordflow">if</span> (row2 == row)</div>
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<div class="line"><span class="lineno"> 304</span> <span class="keywordflow">continue</span>;</div>
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<div class="line"><span class="lineno"> 305</span> <span class="keywordtype">double</span> factor = temp[row2][row];</div>
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<div class="line"><span class="lineno"> 306</span> temp[row2] = temp[row2] - factor * temp[row];</div>
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<div class="line"><span class="lineno"> 307</span> inverse[row2] = inverse[row2] - factor * inverse[row];</div>
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<div class="line"><span class="lineno"> 308</span> }</div>
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<div class="line"><span class="lineno"> 309</span> }</div>
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<div class="line"><span class="lineno"> 310</span> </div>
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<div class="line"><span class="lineno"> 311</span> <span class="keywordflow">return</span> inverse;</div>
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<div class="line"><span class="lineno"> 312</span> }</div>
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<div class="ttc" id="adata__structures_2sparse__table_8cpp_html_a10f3ffb3f6f7e1b83d556b9c8de89a5d"><div class="ttname"><a href="../../d6/d42/data__structures_2sparse__table_8cpp.html#a10f3ffb3f6f7e1b83d556b9c8de89a5d">data_structures::sparse_table::N</a></div><div class="ttdeci">constexpr uint32_t N</div><div class="ttdoc">A struct to represent sparse table for min() as their invariant function, for the given array A....</div><div class="ttdef"><b>Definition</b> sparse_table.cpp:47</div></div>
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<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>
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<h2 class="memtitle"><span class="permalink"><a href="#ad36cbcc7a458b3f3a2af0c4aa1126590">◆ </a></span>mat_mul()</h2>
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<td class="memname">static const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< uint8_t > ciphers::HillCipher::mat_mul </td>
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<p>helper function to perform vector multiplication with encryption or decryption matrix </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<tr><td class="paramname">vector</td><td>vector to multiply </td></tr>
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<tr><td class="paramname">key</td><td>encryption or decryption key matrix </td></tr>
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<dl class="section return"><dt>Returns</dt><dd>corresponding encrypted or decrypted text </dd></dl>
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<div class="fragment"><div class="line"><span class="lineno"> 160</span> {</div>
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<div class="line"><span class="lineno"> 161</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray<uint8_t></a> out(vector); <span class="comment">// make a copy</span></div>
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<div class="line"><span class="lineno"> 162</span> </div>
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<div class="line"><span class="lineno"> 163</span> <span class="keywordtype">size_t</span> L = <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/byte/strlen.html">std::strlen</a>(<a class="code hl_variable" href="../../d6/d4e/namespaceciphers.html#ab9aec0ccf4b6809f652bb540be87c216">STRKEY</a>);</div>
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<div class="line"><span class="lineno"> 164</span> </div>
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<div class="line"><span class="lineno"> 165</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i < key.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>(); i++) {</div>
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<div class="line"><span class="lineno"> 166</span> <span class="keywordtype">int</span> tmp = 0;</div>
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<div class="line"><span class="lineno"> 167</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> j = 0; j < vector.size(); j++) {</div>
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<div class="line"><span class="lineno"> 168</span> tmp += key[i][j] * vector[j];</div>
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<div class="line"><span class="lineno"> 169</span> }</div>
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<div class="line"><span class="lineno"> 170</span> out[i] = <span class="keyword">static_cast<</span>uint8_t<span class="keyword">></span>(tmp % L);</div>
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<div class="line"><span class="lineno"> 171</span> }</div>
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<div class="line"><span class="lineno"> 172</span> </div>
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<div class="line"><span class="lineno"> 173</span> <span class="keywordflow">return</span> out;</div>
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<div class="line"><span class="lineno"> 174</span> }</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a63e7b8e92dff8b9260d6d21c31ecebd0">◆ </a></span>modulo()</h2>
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<td class="memname">static int ciphers::HillCipher::modulo </td>
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<td>(</td>
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<div class="fragment"><div class="line"><span class="lineno"> 314</span> {</div>
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<div class="line"><span class="lineno"> 315</span> <span class="keywordtype">int</span> ret = a % b;</div>
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<div class="line"><span class="lineno"> 316</span> <span class="keywordflow">if</span> (ret < 0)</div>
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<div class="line"><span class="lineno"> 317</span> ret += b;</div>
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<div class="line"><span class="lineno"> 318</span> <span class="keywordflow">return</span> ret;</div>
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<div class="line"><span class="lineno"> 319</span> }</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a716d0313141499d16f57c0c107f04395">◆ </a></span>rand_range() <span class="overload">[1/2]</span></h2>
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template<typename T1 , typename T2 > </div>
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<td class="memname">static double ciphers::HillCipher::rand_range </td>
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<td>(</td>
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<td class="paramtype"><a class="el" href="../../d1/dbe/lu__decomposition_8h.html#ac029b636b353cefbb18b2fcc71e427e4">matrix</a>< T2 > *</td> <td class="paramname"><span class="paramname"><em>M</em></span>, </td>
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<p>Function overload to fill a matrix with random integers in a given interval. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<tr><td class="paramname">M</td><td>pointer to matrix to be filled with random numbers </td></tr>
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<tr><td class="paramname">a</td><td>lower limit of interval </td></tr>
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<tr><td class="paramname">T1</td><td>type of input range </td></tr>
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<tr><td class="paramname">T2</td><td>type of matrix </td></tr>
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<dl class="section return"><dt>Returns</dt><dd>determinant of generated random matrix</dd></dl>
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<dl class="section warning"><dt>Warning</dt><dd>There will need to be a balance between the matrix size and the range of random numbers. If the matrix is large, the range of random numbers must be small to have a well defined keys. Or if the matrix is smaller, the random numbers range can be larger. For an 8x8 matrix, range should be no more than \([0,10]\) </dd></dl>
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<div class="fragment"><div class="line"><span class="lineno"> 118</span> {</div>
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<div class="line"><span class="lineno"> 119</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i < <a class="code hl_variable" href="../../d6/d42/data__structures_2sparse__table_8cpp.html#af7db62f21983565c64d5d42d2a49888e">M</a>->size(); i++) {</div>
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<div class="line"><span class="lineno"> 120</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> j = 0; j < <a class="code hl_variable" href="../../d6/d42/data__structures_2sparse__table_8cpp.html#af7db62f21983565c64d5d42d2a49888e">M</a>[0][0].size(); j++) {</div>
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<div class="line"><span class="lineno"> 121</span> <a class="code hl_variable" href="../../d6/d42/data__structures_2sparse__table_8cpp.html#af7db62f21983565c64d5d42d2a49888e">M</a>[0][i][j] = <a class="code hl_function" href="#a629be41c1ab78850963e4ce14e1d11d9">rand_range<T1, T2></a>(a, b);</div>
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<div class="line"><span class="lineno"> 122</span> }</div>
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<div class="line"><span class="lineno"> 123</span> }</div>
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<div class="line"><span class="lineno"> 124</span> </div>
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<div class="line"><span class="lineno"> 125</span> <span class="keywordflow">return</span> <a class="code hl_function" href="../../d1/dbe/lu__decomposition_8h.html#a3108d43bd32c6fb3b3c158476c51ba7f">determinant_lu</a>(*M);</div>
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<div class="line"><span class="lineno"> 126</span> }</div>
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<div class="ttc" id="adata__structures_2sparse__table_8cpp_html_af7db62f21983565c64d5d42d2a49888e"><div class="ttname"><a href="../../d6/d42/data__structures_2sparse__table_8cpp.html#af7db62f21983565c64d5d42d2a49888e">data_structures::sparse_table::M</a></div><div class="ttdeci">constexpr uint8_t M</div><div class="ttdoc">ceil(log2(N)).</div><div class="ttdef"><b>Definition</b> sparse_table.cpp:48</div></div>
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<div class="center"><iframe scrolling="no" frameborder="0" src="../../d6/d26/classciphers_1_1_hill_cipher_a716d0313141499d16f57c0c107f04395_cgraph.svg" width="650" height="148"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe></div>
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<h2 class="memtitle"><span class="permalink"><a href="#a629be41c1ab78850963e4ce14e1d11d9">◆ </a></span>rand_range() <span class="overload">[2/2]</span></h2>
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<td class="memname">static const T2 ciphers::HillCipher::rand_range </td>
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<td>(</td>
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<p>Function to generate a random integer in a given interval. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramname">a</td><td>lower limit of interval </td></tr>
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<tr><td class="paramname">b</td><td>upper limit of interval </td></tr>
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<dl class="section return"><dt>Returns</dt><dd>random integer in the interval \([a,b)\) </dd></dl>
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<div class="fragment"><div class="line"><span class="lineno"> 92</span> {</div>
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<div class="line"><span class="lineno"> 93</span> <span class="comment">// generate random number between 0 and 1</span></div>
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<div class="line"><span class="lineno"> 94</span> <span class="keywordtype">long</span> <span class="keywordtype">double</span> r = <span class="keyword">static_cast<</span><span class="keywordtype">long</span> <span class="keywordtype">double</span><span class="keyword">></span>(<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/random/rand.html">std::rand</a>()) / RAND_MAX;</div>
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<div class="line"><span class="lineno"> 95</span> </div>
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<div class="line"><span class="lineno"> 96</span> <span class="comment">// scale and return random number as integer</span></div>
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<div class="line"><span class="lineno"> 97</span> <span class="keywordflow">return</span> <span class="keyword">static_cast<</span>T2<span class="keyword">></span>(r * (b - a) + a);</div>
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<div class="line"><span class="lineno"> 98</span> }</div>
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<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>
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<hr/>The documentation for this class was generated from the following file:<ul>
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<li>ciphers/<a class="el" href="../../d7/db9/hill__cipher_8cpp.html">hill_cipher.cpp</a></li>
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