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<div class="headertitle"><div class="title">hill_cipher.cpp</div></div>
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<div class="contents">
<a href="../../d7/db9/hill__cipher_8cpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno"> 1</span></div>
<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span> </div>
<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span><span class="preprocessor">#include &lt;cassert&gt;</span></div>
<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span><span class="preprocessor">#include &lt;cmath&gt;</span></div>
<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span><span class="preprocessor">#include &lt;cstdint&gt;</span></div>
<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span><span class="preprocessor">#include &lt;cstring&gt;</span></div>
<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span><span class="preprocessor">#include &lt;ctime&gt;</span></div>
<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span><span class="preprocessor">#include &lt;fstream&gt;</span></div>
<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span><span class="preprocessor">#include &lt;iomanip&gt;</span></div>
<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span><span class="preprocessor">#include &lt;iostream&gt;</span></div>
<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span><span class="preprocessor">#include &lt;string&gt;</span></div>
<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span><span class="preprocessor">#ifdef _OPENMP</span></div>
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span><span class="preprocessor">#include &lt;omp.h&gt;</span></div>
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span><span class="preprocessor">#endif</span></div>
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span> </div>
<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span><span class="preprocessor">#include &quot;<a class="code" href="../../d1/dbe/lu__decomposition_8h.html">../numerical_methods/lu_decomposition.h</a>&quot;</span></div>
<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span></div>
<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span><span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
<div class="foldopen" id="foldopen00055" data-start="{" data-end="}">
<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"><a class="line" href="../../d7/db9/hill__cipher_8cpp.html#a34bfcd756610834acac501f9eea1e2eb"> 55</a></span><span class="keyword">static</span> std::ostream &amp;<a class="code hl_function" href="../../d7/db9/hill__cipher_8cpp.html#a34bfcd756610834acac501f9eea1e2eb">operator&lt;&lt;</a>(std::ostream &amp;out, <a class="code hl_typedef" href="../../d1/dbe/lu__decomposition_8h.html#ac029b636b353cefbb18b2fcc71e427e4">matrix&lt;T&gt;</a> <span class="keyword">const</span> &amp;v) {</div>
<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> <span class="keyword">const</span> <span class="keywordtype">int</span> width = 15;</div>
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> <span class="keyword">const</span> <span class="keywordtype">char</span> separator = <span class="charliteral">&#39; &#39;</span>;</div>
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> </div>
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> row = 0; row &lt; v.size(); row++) {</div>
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> col = 0; col &lt; v[row].size(); col++)</div>
<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> out &lt;&lt; std::left &lt;&lt; std::setw(width) &lt;&lt; std::setfill(separator)</div>
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> &lt;&lt; v[row][col];</div>
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> out &lt;&lt; std::endl;</div>
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> }</div>
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> </div>
<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> <span class="keywordflow">return</span> out;</div>
<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span>}</div>
</div>
<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span></div>
<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span><span class="keyword">namespace </span><a class="code hl_namespace" href="../../d6/d4e/namespaceciphers.html">ciphers</a> {</div>
<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"><a class="line" href="../../d6/d4e/namespaceciphers.html#ab9aec0ccf4b6809f652bb540be87c216"> 74</a></span><span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">char</span> *<a class="code hl_variable" href="../../d6/d4e/namespaceciphers.html#ab9aec0ccf4b6809f652bb540be87c216">STRKEY</a> =</div>
<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span> <span class="stringliteral">&quot;ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789~!@#$%^&amp;&quot;</span></div>
<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> <span class="stringliteral">&quot;*()_+`-=[]{}|;&#39;:\&quot;,./&lt;&gt;?\\\r\n \0&quot;</span>;</div>
<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span></div>
<div class="foldopen" id="foldopen00082" data-start="{" data-end="};">
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"><a class="line" href="../../d6/d26/classciphers_1_1_hill_cipher.html"> 82</a></span><span class="keyword">class </span><a class="code hl_class" href="../../d6/d26/classciphers_1_1_hill_cipher.html">HillCipher</a> {</div>
<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> <span class="keyword">private</span>:</div>
<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span> <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T1, <span class="keyword">typename</span> T2&gt;</div>
<div class="foldopen" id="foldopen00093" data-start="{" data-end="}">
<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"><a class="line" href="../../d6/d26/classciphers_1_1_hill_cipher.html#a629be41c1ab78850963e4ce14e1d11d9"> 93</a></span> <span class="keyword">static</span> <span class="keyword">const</span> T2 <a class="code hl_function" href="../../d6/d26/classciphers_1_1_hill_cipher.html#a629be41c1ab78850963e4ce14e1d11d9">rand_range</a>(T1 a, T1 b) {</div>
<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> <span class="comment">// generate random number between 0 and 1</span></div>
<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> <span class="keywordtype">long</span> <span class="keywordtype">double</span> r = <span class="keyword">static_cast&lt;</span><span class="keywordtype">long</span> <span class="keywordtype">double</span><span class="keyword">&gt;</span>(std::rand()) / RAND_MAX;</div>
<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> </div>
<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span> <span class="comment">// scale and return random number as integer</span></div>
<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span> <span class="keywordflow">return</span> <span class="keyword">static_cast&lt;</span>T2<span class="keyword">&gt;</span>(r * (b - a) + a);</div>
<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span> }</div>
</div>
<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span></div>
<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span> <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T1, <span class="keyword">typename</span> T2&gt;</div>
<div class="foldopen" id="foldopen00119" data-start="{" data-end="}">
<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"><a class="line" href="../../d6/d26/classciphers_1_1_hill_cipher.html#a716d0313141499d16f57c0c107f04395"> 119</a></span> <span class="keyword">static</span> <span class="keywordtype">double</span> <a class="code hl_function" href="../../d6/d26/classciphers_1_1_hill_cipher.html#a716d0313141499d16f57c0c107f04395">rand_range</a>(<a class="code hl_typedef" href="../../d1/dbe/lu__decomposition_8h.html#ac029b636b353cefbb18b2fcc71e427e4">matrix&lt;T2&gt;</a> *M, T1 a, T1 b) {</div>
<div class="line"><a id="l00120" name="l00120"></a><span class="lineno"> 120</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; M-&gt;size(); i++) {</div>
<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> j = 0; j &lt; M[0][0].size(); j++) {</div>
<div class="line"><a id="l00122" name="l00122"></a><span class="lineno"> 122</span> M[0][i][j] = <a class="code hl_function" href="../../d6/d26/classciphers_1_1_hill_cipher.html#a629be41c1ab78850963e4ce14e1d11d9">rand_range&lt;T1, T2&gt;</a>(a, b);</div>
<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"> 123</span> }</div>
<div class="line"><a id="l00124" name="l00124"></a><span class="lineno"> 124</span> }</div>
<div class="line"><a id="l00125" name="l00125"></a><span class="lineno"> 125</span> </div>
<div class="line"><a id="l00126" name="l00126"></a><span class="lineno"> 126</span> <span class="keywordflow">return</span> <a class="code hl_function" href="../../d1/dbe/lu__decomposition_8h.html#a3108d43bd32c6fb3b3c158476c51ba7f">determinant_lu</a>(*M);</div>
<div class="line"><a id="l00127" name="l00127"></a><span class="lineno"> 127</span> }</div>
</div>
<div class="line"><a id="l00128" name="l00128"></a><span class="lineno"> 128</span></div>
<div class="line"><a id="l00138" name="l00138"></a><span class="lineno"> 138</span> <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
<div class="foldopen" id="foldopen00139" data-start="{" data-end="}">
<div class="line"><a id="l00139" name="l00139"></a><span class="lineno"><a class="line" href="../../d6/d26/classciphers_1_1_hill_cipher.html#a7760f3665651a0a37937c79c62f219c0"> 139</a></span> <span class="keyword">static</span> <span class="keyword">const</span> T <a class="code hl_function" href="../../d6/d26/classciphers_1_1_hill_cipher.html#a7760f3665651a0a37937c79c62f219c0">gcd</a>(T a, T b) {</div>
<div class="line"><a id="l00140" name="l00140"></a><span class="lineno"> 140</span> <span class="keywordflow">if</span> (b &gt; a) <span class="comment">// ensure always a &lt; b</span></div>
<div class="line"><a id="l00141" name="l00141"></a><span class="lineno"> 141</span> std::swap(a, b);</div>
<div class="line"><a id="l00142" name="l00142"></a><span class="lineno"> 142</span> </div>
<div class="line"><a id="l00143" name="l00143"></a><span class="lineno"> 143</span> <span class="keywordflow">while</span> (b != 0) {</div>
<div class="line"><a id="l00144" name="l00144"></a><span class="lineno"> 144</span> T tmp = b;</div>
<div class="line"><a id="l00145" name="l00145"></a><span class="lineno"> 145</span> b = a % b;</div>
<div class="line"><a id="l00146" name="l00146"></a><span class="lineno"> 146</span> a = tmp;</div>
<div class="line"><a id="l00147" name="l00147"></a><span class="lineno"> 147</span> }</div>
<div class="line"><a id="l00148" name="l00148"></a><span class="lineno"> 148</span> </div>
<div class="line"><a id="l00149" name="l00149"></a><span class="lineno"> 149</span> <span class="keywordflow">return</span> a;</div>
<div class="line"><a id="l00150" name="l00150"></a><span class="lineno"> 150</span> }</div>
</div>
<div class="line"><a id="l00151" name="l00151"></a><span class="lineno"> 151</span></div>
<div class="foldopen" id="foldopen00160" data-start="{" data-end="}">
<div class="line"><a id="l00160" name="l00160"></a><span class="lineno"><a class="line" href="../../d6/d26/classciphers_1_1_hill_cipher.html#ad36cbcc7a458b3f3a2af0c4aa1126590"> 160</a></span> <span class="keyword">static</span> <span class="keyword">const</span> std::valarray&lt;uint8_t&gt; <a class="code hl_function" href="../../d6/d26/classciphers_1_1_hill_cipher.html#ad36cbcc7a458b3f3a2af0c4aa1126590">mat_mul</a>(</div>
<div class="line"><a id="l00161" name="l00161"></a><span class="lineno"> 161</span> <span class="keyword">const</span> std::valarray&lt;uint8_t&gt; &amp;<a class="code hl_class" href="../../d7/dfc/classvector.html">vector</a>, <span class="keyword">const</span> <a class="code hl_typedef" href="../../d1/dbe/lu__decomposition_8h.html#ac029b636b353cefbb18b2fcc71e427e4">matrix&lt;int&gt;</a> &amp;key) {</div>
<div class="line"><a id="l00162" name="l00162"></a><span class="lineno"> 162</span> std::valarray&lt;uint8_t&gt; out(<a class="code hl_class" href="../../d7/dfc/classvector.html">vector</a>); <span class="comment">// make a copy</span></div>
<div class="line"><a id="l00163" name="l00163"></a><span class="lineno"> 163</span> </div>
<div class="line"><a id="l00164" name="l00164"></a><span class="lineno"> 164</span> <span class="keywordtype">size_t</span> L = std::strlen(<a class="code hl_variable" href="../../d6/d4e/namespaceciphers.html#ab9aec0ccf4b6809f652bb540be87c216">STRKEY</a>);</div>
<div class="line"><a id="l00165" name="l00165"></a><span class="lineno"> 165</span> </div>
<div class="line"><a id="l00166" name="l00166"></a><span class="lineno"> 166</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; key.size(); i++) {</div>
<div class="line"><a id="l00167" name="l00167"></a><span class="lineno"> 167</span> <span class="keywordtype">int</span> tmp = 0;</div>
<div class="line"><a id="l00168" name="l00168"></a><span class="lineno"> 168</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> j = 0; j &lt; <a class="code hl_class" href="../../d7/dfc/classvector.html">vector</a>.size(); j++) {</div>
<div class="line"><a id="l00169" name="l00169"></a><span class="lineno"> 169</span> tmp += key[i][j] * <a class="code hl_class" href="../../d7/dfc/classvector.html">vector</a>[j];</div>
<div class="line"><a id="l00170" name="l00170"></a><span class="lineno"> 170</span> }</div>
<div class="line"><a id="l00171" name="l00171"></a><span class="lineno"> 171</span> out[i] = <span class="keyword">static_cast&lt;</span>uint8_t<span class="keyword">&gt;</span>(tmp % L);</div>
<div class="line"><a id="l00172" name="l00172"></a><span class="lineno"> 172</span> }</div>
<div class="line"><a id="l00173" name="l00173"></a><span class="lineno"> 173</span> </div>
<div class="line"><a id="l00174" name="l00174"></a><span class="lineno"> 174</span> <span class="keywordflow">return</span> out;</div>
<div class="line"><a id="l00175" name="l00175"></a><span class="lineno"> 175</span> }</div>
</div>
<div class="line"><a id="l00176" name="l00176"></a><span class="lineno"> 176</span></div>
<div class="line"><a id="l00183" name="l00183"></a><span class="lineno"><a class="line" href="../../d6/d26/classciphers_1_1_hill_cipher.html#a12f727cca9e21f9539cd74b6603adf0c"> 183</a></span> <span class="keyword">static</span> <span class="keyword">inline</span> <span class="keywordtype">char</span> <a class="code hl_function" href="../../d6/d26/classciphers_1_1_hill_cipher.html#a12f727cca9e21f9539cd74b6603adf0c">get_idx_char</a>(<span class="keyword">const</span> uint8_t idx) { <span class="keywordflow">return</span> <a class="code hl_variable" href="../../d6/d4e/namespaceciphers.html#ab9aec0ccf4b6809f652bb540be87c216">STRKEY</a>[idx]; }</div>
<div class="line"><a id="l00184" name="l00184"></a><span class="lineno"> 184</span></div>
<div class="foldopen" id="foldopen00191" data-start="{" data-end="}">
<div class="line"><a id="l00191" name="l00191"></a><span class="lineno"><a class="line" href="../../d6/d26/classciphers_1_1_hill_cipher.html#ae77cad522fa44b8c985779a7188d2f41"> 191</a></span> <span class="keyword">static</span> <span class="keyword">inline</span> uint8_t <a class="code hl_function" href="../../d6/d26/classciphers_1_1_hill_cipher.html#ae77cad522fa44b8c985779a7188d2f41">get_char_idx</a>(<span class="keyword">const</span> <span class="keywordtype">char</span> ch) {</div>
<div class="line"><a id="l00192" name="l00192"></a><span class="lineno"> 192</span> <span class="keywordtype">size_t</span> L = std::strlen(<a class="code hl_variable" href="../../d6/d4e/namespaceciphers.html#ab9aec0ccf4b6809f652bb540be87c216">STRKEY</a>);</div>
<div class="line"><a id="l00193" name="l00193"></a><span class="lineno"> 193</span> </div>
<div class="line"><a id="l00194" name="l00194"></a><span class="lineno"> 194</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> idx = 0; idx &lt;= L; idx++)</div>
<div class="line"><a id="l00195" name="l00195"></a><span class="lineno"> 195</span> <span class="keywordflow">if</span> (<a class="code hl_variable" href="../../d6/d4e/namespaceciphers.html#ab9aec0ccf4b6809f652bb540be87c216">STRKEY</a>[idx] == ch)</div>
<div class="line"><a id="l00196" name="l00196"></a><span class="lineno"> 196</span> <span class="keywordflow">return</span> idx;</div>
<div class="line"><a id="l00197" name="l00197"></a><span class="lineno"> 197</span> </div>
<div class="line"><a id="l00198" name="l00198"></a><span class="lineno"> 198</span> std::cerr &lt;&lt; __func__ &lt;&lt; <span class="stringliteral">&quot;:&quot;</span> &lt;&lt; __LINE__ &lt;&lt; <span class="stringliteral">&quot;: (&quot;</span> &lt;&lt; ch</div>
<div class="line"><a id="l00199" name="l00199"></a><span class="lineno"> 199</span> &lt;&lt; <span class="stringliteral">&quot;) Should not reach here!\n&quot;</span>;</div>
<div class="line"><a id="l00200" name="l00200"></a><span class="lineno"> 200</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><a id="l00201" name="l00201"></a><span class="lineno"> 201</span> }</div>
</div>
<div class="line"><a id="l00202" name="l00202"></a><span class="lineno"> 202</span></div>
<div class="foldopen" id="foldopen00211" data-start="{" data-end="}">
<div class="line"><a id="l00211" name="l00211"></a><span class="lineno"><a class="line" href="../../d6/d26/classciphers_1_1_hill_cipher.html#ad667fa0860977f6d6d443fa1dbcd80aa"> 211</a></span> <span class="keyword">static</span> <span class="keyword">const</span> std::string <a class="code hl_function" href="../../d6/d26/classciphers_1_1_hill_cipher.html#ad667fa0860977f6d6d443fa1dbcd80aa">codec</a>(<span class="keyword">const</span> std::string &amp;text,</div>
<div class="line"><a id="l00212" name="l00212"></a><span class="lineno"> 212</span> <span class="keyword">const</span> <a class="code hl_typedef" href="../../d1/dbe/lu__decomposition_8h.html#ac029b636b353cefbb18b2fcc71e427e4">matrix&lt;int&gt;</a> &amp;key) {</div>
<div class="line"><a id="l00213" name="l00213"></a><span class="lineno"> 213</span> <span class="keywordtype">size_t</span> text_len = text.length();</div>
<div class="line"><a id="l00214" name="l00214"></a><span class="lineno"> 214</span> <span class="keywordtype">size_t</span> key_len = key.size();</div>
<div class="line"><a id="l00215" name="l00215"></a><span class="lineno"> 215</span> </div>
<div class="line"><a id="l00216" name="l00216"></a><span class="lineno"> 216</span> <span class="comment">// length of output string must be a multiple of key_len</span></div>
<div class="line"><a id="l00217" name="l00217"></a><span class="lineno"> 217</span> <span class="comment">// create output string and initialize with &#39;\0&#39; character</span></div>
<div class="line"><a id="l00218" name="l00218"></a><span class="lineno"> 218</span> <span class="keywordtype">size_t</span> L2 = text_len % key_len == 0</div>
<div class="line"><a id="l00219" name="l00219"></a><span class="lineno"> 219</span> ? text_len</div>
<div class="line"><a id="l00220" name="l00220"></a><span class="lineno"> 220</span> : text_len + key_len - (text_len % key_len);</div>
<div class="line"><a id="l00221" name="l00221"></a><span class="lineno"> 221</span> std::string coded_text(L2, <span class="charliteral">&#39;\0&#39;</span>);</div>
<div class="line"><a id="l00222" name="l00222"></a><span class="lineno"> 222</span> </div>
<div class="line"><a id="l00223" name="l00223"></a><span class="lineno"> 223</span> <span class="comment">// temporary array for batch processing</span></div>
<div class="line"><a id="l00224" name="l00224"></a><span class="lineno"> 224</span> <span class="keywordtype">int</span> i;</div>
<div class="line"><a id="l00225" name="l00225"></a><span class="lineno"> 225</span><span class="preprocessor">#ifdef _OPENMP</span></div>
<div class="line"><a id="l00226" name="l00226"></a><span class="lineno"> 226</span><span class="preprocessor">#pragma parallel omp for private(i)</span></div>
<div class="line"><a id="l00227" name="l00227"></a><span class="lineno"> 227</span><span class="preprocessor">#endif</span></div>
<div class="line"><a id="l00228" name="l00228"></a><span class="lineno"> 228</span> <span class="keywordflow">for</span> (i = 0; i &lt; L2 - key_len + 1; i += key_len) {</div>
<div class="line"><a id="l00229" name="l00229"></a><span class="lineno"> 229</span> std::valarray&lt;uint8_t&gt; batch_int(key_len);</div>
<div class="line"><a id="l00230" name="l00230"></a><span class="lineno"> 230</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> j = 0; j &lt; key_len; j++) {</div>
<div class="line"><a id="l00231" name="l00231"></a><span class="lineno"> 231</span> batch_int[j] = <a class="code hl_function" href="../../d6/d26/classciphers_1_1_hill_cipher.html#ae77cad522fa44b8c985779a7188d2f41">get_char_idx</a>(text[i + j]);</div>
<div class="line"><a id="l00232" name="l00232"></a><span class="lineno"> 232</span> }</div>
<div class="line"><a id="l00233" name="l00233"></a><span class="lineno"> 233</span> </div>
<div class="line"><a id="l00234" name="l00234"></a><span class="lineno"> 234</span> batch_int = <a class="code hl_function" href="../../d6/d26/classciphers_1_1_hill_cipher.html#ad36cbcc7a458b3f3a2af0c4aa1126590">mat_mul</a>(batch_int, key);</div>
<div class="line"><a id="l00235" name="l00235"></a><span class="lineno"> 235</span> </div>
<div class="line"><a id="l00236" name="l00236"></a><span class="lineno"> 236</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> j = 0; j &lt; key_len; j++) {</div>
<div class="line"><a id="l00237" name="l00237"></a><span class="lineno"> 237</span> coded_text[i + j] =</div>
<div class="line"><a id="l00238" name="l00238"></a><span class="lineno"> 238</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>
<div class="line"><a id="l00239" name="l00239"></a><span class="lineno"> 239</span> }</div>
<div class="line"><a id="l00240" name="l00240"></a><span class="lineno"> 240</span> }</div>
<div class="line"><a id="l00241" name="l00241"></a><span class="lineno"> 241</span> </div>
<div class="line"><a id="l00242" name="l00242"></a><span class="lineno"> 242</span> <span class="keywordflow">return</span> coded_text;</div>
<div class="line"><a id="l00243" name="l00243"></a><span class="lineno"> 243</span> }</div>
</div>
<div class="line"><a id="l00244" name="l00244"></a><span class="lineno"> 244</span></div>
<div class="line"><a id="l00250" name="l00250"></a><span class="lineno"> 250</span> <span class="keyword">template</span> &lt;<span class="keyword">typename</span> T&gt;</div>
<div class="foldopen" id="foldopen00251" data-start="{" data-end="}">
<div class="line"><a id="l00251" name="l00251"></a><span class="lineno"><a class="line" href="../../d6/d26/classciphers_1_1_hill_cipher.html#a2eb58750b978a93ac5e6eb29e3e570b7"> 251</a></span> <span class="keyword">static</span> <a class="code hl_typedef" href="../../d1/dbe/lu__decomposition_8h.html#ac029b636b353cefbb18b2fcc71e427e4">matrix&lt;double&gt;</a> <a class="code hl_function" href="../../d6/d26/classciphers_1_1_hill_cipher.html#a2eb58750b978a93ac5e6eb29e3e570b7">get_inverse</a>(<a class="code hl_typedef" href="../../d1/dbe/lu__decomposition_8h.html#ac029b636b353cefbb18b2fcc71e427e4">matrix&lt;T&gt;</a> <span class="keyword">const</span> &amp;A) {</div>
<div class="line"><a id="l00252" name="l00252"></a><span class="lineno"> 252</span> <span class="comment">// Assuming A is square matrix</span></div>
<div class="line"><a id="l00253" name="l00253"></a><span class="lineno"> 253</span> <span class="keywordtype">size_t</span> N = A.size();</div>
<div class="line"><a id="l00254" name="l00254"></a><span class="lineno"> 254</span> </div>
<div class="line"><a id="l00255" name="l00255"></a><span class="lineno"> 255</span> <a class="code hl_typedef" href="../../d1/dbe/lu__decomposition_8h.html#ac029b636b353cefbb18b2fcc71e427e4">matrix&lt;double&gt;</a> inverse(N, std::valarray&lt;double&gt;(N));</div>
<div class="line"><a id="l00256" name="l00256"></a><span class="lineno"> 256</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> row = 0; row &lt; N; row++) {</div>
<div class="line"><a id="l00257" name="l00257"></a><span class="lineno"> 257</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> col = 0; col &lt; N; col++) {</div>
<div class="line"><a id="l00258" name="l00258"></a><span class="lineno"> 258</span> <span class="comment">// create identity matrix</span></div>
<div class="line"><a id="l00259" name="l00259"></a><span class="lineno"> 259</span> inverse[row][col] = (row == col) ? 1.f : 0.f;</div>
<div class="line"><a id="l00260" name="l00260"></a><span class="lineno"> 260</span> }</div>
<div class="line"><a id="l00261" name="l00261"></a><span class="lineno"> 261</span> }</div>
<div class="line"><a id="l00262" name="l00262"></a><span class="lineno"> 262</span> </div>
<div class="line"><a id="l00263" name="l00263"></a><span class="lineno"> 263</span> <span class="keywordflow">if</span> (A.size() != A[0].size()) {</div>
<div class="line"><a id="l00264" name="l00264"></a><span class="lineno"> 264</span> std::cerr &lt;&lt; <span class="stringliteral">&quot;A must be a square matrix!&quot;</span> &lt;&lt; std::endl;</div>
<div class="line"><a id="l00265" name="l00265"></a><span class="lineno"> 265</span> <span class="keywordflow">return</span> inverse;</div>
<div class="line"><a id="l00266" name="l00266"></a><span class="lineno"> 266</span> }</div>
<div class="line"><a id="l00267" name="l00267"></a><span class="lineno"> 267</span> </div>
<div class="line"><a id="l00268" name="l00268"></a><span class="lineno"> 268</span> <span class="comment">// preallocate a temporary matrix identical to A</span></div>
<div class="line"><a id="l00269" name="l00269"></a><span class="lineno"> 269</span> <a class="code hl_typedef" href="../../d1/dbe/lu__decomposition_8h.html#ac029b636b353cefbb18b2fcc71e427e4">matrix&lt;double&gt;</a> temp(N, std::valarray&lt;double&gt;(N));</div>
<div class="line"><a id="l00270" name="l00270"></a><span class="lineno"> 270</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> row = 0; row &lt; N; row++) {</div>
<div class="line"><a id="l00271" name="l00271"></a><span class="lineno"> 271</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> col = 0; col &lt; N; col++)</div>
<div class="line"><a id="l00272" name="l00272"></a><span class="lineno"> 272</span> temp[row][col] = <span class="keyword">static_cast&lt;</span><span class="keywordtype">double</span><span class="keyword">&gt;</span>(A[row][col]);</div>
<div class="line"><a id="l00273" name="l00273"></a><span class="lineno"> 273</span> }</div>
<div class="line"><a id="l00274" name="l00274"></a><span class="lineno"> 274</span> </div>
<div class="line"><a id="l00275" name="l00275"></a><span class="lineno"> 275</span> <span class="comment">// start transformations</span></div>
<div class="line"><a id="l00276" name="l00276"></a><span class="lineno"> 276</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> row = 0; row &lt; N; row++) {</div>
<div class="line"><a id="l00277" name="l00277"></a><span class="lineno"> 277</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> row2 = row; row2 &lt; N &amp;&amp; temp[row][row] == 0; row2++) {</div>
<div class="line"><a id="l00278" name="l00278"></a><span class="lineno"> 278</span> <span class="comment">// this to ensure diagonal elements are not 0</span></div>
<div class="line"><a id="l00279" name="l00279"></a><span class="lineno"> 279</span> temp[row] = temp[row] + temp[row2];</div>
<div class="line"><a id="l00280" name="l00280"></a><span class="lineno"> 280</span> inverse[row] = inverse[row] + inverse[row2];</div>
<div class="line"><a id="l00281" name="l00281"></a><span class="lineno"> 281</span> }</div>
<div class="line"><a id="l00282" name="l00282"></a><span class="lineno"> 282</span> </div>
<div class="line"><a id="l00283" name="l00283"></a><span class="lineno"> 283</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> col2 = row; col2 &lt; N &amp;&amp; temp[row][row] == 0; col2++) {</div>
<div class="line"><a id="l00284" name="l00284"></a><span class="lineno"> 284</span> <span class="comment">// this to further ensure diagonal elements are not 0</span></div>
<div class="line"><a id="l00285" name="l00285"></a><span class="lineno"> 285</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> row2 = 0; row2 &lt; N; row2++) {</div>
<div class="line"><a id="l00286" name="l00286"></a><span class="lineno"> 286</span> temp[row2][row] = temp[row2][row] + temp[row2][col2];</div>
<div class="line"><a id="l00287" name="l00287"></a><span class="lineno"> 287</span> inverse[row2][row] =</div>
<div class="line"><a id="l00288" name="l00288"></a><span class="lineno"> 288</span> inverse[row2][row] + inverse[row2][col2];</div>
<div class="line"><a id="l00289" name="l00289"></a><span class="lineno"> 289</span> }</div>
<div class="line"><a id="l00290" name="l00290"></a><span class="lineno"> 290</span> }</div>
<div class="line"><a id="l00291" name="l00291"></a><span class="lineno"> 291</span> </div>
<div class="line"><a id="l00292" name="l00292"></a><span class="lineno"> 292</span> <span class="keywordflow">if</span> (temp[row][row] == 0) {</div>
<div class="line"><a id="l00293" name="l00293"></a><span class="lineno"> 293</span> <span class="comment">// Probably a low-rank matrix and hence singular</span></div>
<div class="line"><a id="l00294" name="l00294"></a><span class="lineno"> 294</span> std::cerr &lt;&lt; <span class="stringliteral">&quot;Low-rank matrix, no inverse!&quot;</span> &lt;&lt; std::endl;</div>
<div class="line"><a id="l00295" name="l00295"></a><span class="lineno"> 295</span> <span class="keywordflow">return</span> inverse;</div>
<div class="line"><a id="l00296" name="l00296"></a><span class="lineno"> 296</span> }</div>
<div class="line"><a id="l00297" name="l00297"></a><span class="lineno"> 297</span> </div>
<div class="line"><a id="l00298" name="l00298"></a><span class="lineno"> 298</span> <span class="comment">// set diagonal to 1</span></div>
<div class="line"><a id="l00299" name="l00299"></a><span class="lineno"> 299</span> <span class="keywordtype">double</span> divisor = temp[row][row];</div>
<div class="line"><a id="l00300" name="l00300"></a><span class="lineno"> 300</span> temp[row] = temp[row] / divisor;</div>
<div class="line"><a id="l00301" name="l00301"></a><span class="lineno"> 301</span> inverse[row] = inverse[row] / divisor;</div>
<div class="line"><a id="l00302" name="l00302"></a><span class="lineno"> 302</span> <span class="comment">// Row transformations</span></div>
<div class="line"><a id="l00303" name="l00303"></a><span class="lineno"> 303</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> row2 = 0; row2 &lt; N; row2++) {</div>
<div class="line"><a id="l00304" name="l00304"></a><span class="lineno"> 304</span> <span class="keywordflow">if</span> (row2 == row)</div>
<div class="line"><a id="l00305" name="l00305"></a><span class="lineno"> 305</span> <span class="keywordflow">continue</span>;</div>
<div class="line"><a id="l00306" name="l00306"></a><span class="lineno"> 306</span> <span class="keywordtype">double</span> factor = temp[row2][row];</div>
<div class="line"><a id="l00307" name="l00307"></a><span class="lineno"> 307</span> temp[row2] = temp[row2] - factor * temp[row];</div>
<div class="line"><a id="l00308" name="l00308"></a><span class="lineno"> 308</span> inverse[row2] = inverse[row2] - factor * inverse[row];</div>
<div class="line"><a id="l00309" name="l00309"></a><span class="lineno"> 309</span> }</div>
<div class="line"><a id="l00310" name="l00310"></a><span class="lineno"> 310</span> }</div>
<div class="line"><a id="l00311" name="l00311"></a><span class="lineno"> 311</span> </div>
<div class="line"><a id="l00312" name="l00312"></a><span class="lineno"> 312</span> <span class="keywordflow">return</span> inverse;</div>
<div class="line"><a id="l00313" name="l00313"></a><span class="lineno"> 313</span> }</div>
</div>
<div class="line"><a id="l00314" name="l00314"></a><span class="lineno"> 314</span> </div>
<div class="line"><a id="l00315" name="l00315"></a><span class="lineno"> 315</span> <span class="keyword">static</span> <span class="keywordtype">int</span> modulo(<span class="keywordtype">int</span> a, <span class="keywordtype">int</span> b) {</div>
<div class="line"><a id="l00316" name="l00316"></a><span class="lineno"> 316</span> <span class="keywordtype">int</span> ret = a % b;</div>
<div class="line"><a id="l00317" name="l00317"></a><span class="lineno"> 317</span> <span class="keywordflow">if</span> (ret &lt; 0)</div>
<div class="line"><a id="l00318" name="l00318"></a><span class="lineno"> 318</span> ret += b;</div>
<div class="line"><a id="l00319" name="l00319"></a><span class="lineno"> 319</span> <span class="keywordflow">return</span> ret;</div>
<div class="line"><a id="l00320" name="l00320"></a><span class="lineno"> 320</span> }</div>
<div class="line"><a id="l00321" name="l00321"></a><span class="lineno"> 321</span> </div>
<div class="line"><a id="l00322" name="l00322"></a><span class="lineno"> 322</span> <span class="keyword">public</span>:</div>
<div class="foldopen" id="foldopen00340" data-start="{" data-end="}">
<div class="line"><a id="l00340" name="l00340"></a><span class="lineno"><a class="line" href="../../d6/d26/classciphers_1_1_hill_cipher.html#a642f70fb54cb50b00fb6df7c3f2b120e"> 340</a></span> <span class="keyword">static</span> <a class="code hl_typedef" href="../../d1/dbe/lu__decomposition_8h.html#ac029b636b353cefbb18b2fcc71e427e4">matrix&lt;int&gt;</a> <a class="code hl_function" href="../../d6/d26/classciphers_1_1_hill_cipher.html#a642f70fb54cb50b00fb6df7c3f2b120e">generate_encryption_key</a>(<span class="keywordtype">size_t</span> size, <span class="keywordtype">int</span> limit1 = 0,</div>
<div class="line"><a id="l00341" name="l00341"></a><span class="lineno"> 341</span> <span class="keywordtype">int</span> limit2 = 10) {</div>
<div class="line"><a id="l00342" name="l00342"></a><span class="lineno"> 342</span> <a class="code hl_typedef" href="../../d1/dbe/lu__decomposition_8h.html#ac029b636b353cefbb18b2fcc71e427e4">matrix&lt;int&gt;</a> encrypt_key(size, std::valarray&lt;int&gt;(size));</div>
<div class="line"><a id="l00343" name="l00343"></a><span class="lineno"> 343</span> <a class="code hl_typedef" href="../../d1/dbe/lu__decomposition_8h.html#ac029b636b353cefbb18b2fcc71e427e4">matrix&lt;int&gt;</a> min_mat = encrypt_key;</div>
<div class="line"><a id="l00344" name="l00344"></a><span class="lineno"> 344</span> <span class="keywordtype">int</span> mat_determinant = -1; <span class="comment">// because matrix has only ints, the</span></div>
<div class="line"><a id="l00345" name="l00345"></a><span class="lineno"> 345</span> <span class="comment">// determinant will also be an int</span></div>
<div class="line"><a id="l00346" name="l00346"></a><span class="lineno"> 346</span> <span class="keywordtype">int</span> L = std::strlen(<a class="code hl_variable" href="../../d6/d4e/namespaceciphers.html#ab9aec0ccf4b6809f652bb540be87c216">STRKEY</a>);</div>
<div class="line"><a id="l00347" name="l00347"></a><span class="lineno"> 347</span> </div>
<div class="line"><a id="l00348" name="l00348"></a><span class="lineno"> 348</span> <span class="keywordtype">double</span> dd;</div>
<div class="line"><a id="l00349" name="l00349"></a><span class="lineno"> 349</span> <span class="keywordflow">do</span> {</div>
<div class="line"><a id="l00350" name="l00350"></a><span class="lineno"> 350</span> <span class="comment">// keeping the random number range smaller generates better</span></div>
<div class="line"><a id="l00351" name="l00351"></a><span class="lineno"> 351</span> <span class="comment">// defined matrices with more ease of cracking</span></div>
<div class="line"><a id="l00352" name="l00352"></a><span class="lineno"> 352</span> dd = <a class="code hl_function" href="../../d6/d26/classciphers_1_1_hill_cipher.html#a629be41c1ab78850963e4ce14e1d11d9">rand_range</a>(&amp;encrypt_key, limit1, limit2);</div>
<div class="line"><a id="l00353" name="l00353"></a><span class="lineno"> 353</span> mat_determinant = <span class="keyword">static_cast&lt;</span><span class="keywordtype">int</span><span class="keyword">&gt;</span>(dd);</div>
<div class="line"><a id="l00354" name="l00354"></a><span class="lineno"> 354</span> </div>
<div class="line"><a id="l00355" name="l00355"></a><span class="lineno"> 355</span> <span class="keywordflow">if</span> (mat_determinant &lt; 0)</div>
<div class="line"><a id="l00356" name="l00356"></a><span class="lineno"> 356</span> mat_determinant = (mat_determinant % L);</div>
<div class="line"><a id="l00357" name="l00357"></a><span class="lineno"> 357</span> } <span class="keywordflow">while</span> (std::abs(dd) &gt; 1e3 || <span class="comment">// while ill-defined</span></div>
<div class="line"><a id="l00358" name="l00358"></a><span class="lineno"> 358</span> dd &lt; 0.1 || <span class="comment">// while singular or negative determinant</span></div>
<div class="line"><a id="l00359" name="l00359"></a><span class="lineno"> 359</span> !std::isfinite(dd) || <span class="comment">// while determinant is not finite</span></div>
<div class="line"><a id="l00360" name="l00360"></a><span class="lineno"> 360</span> <a class="code hl_function" href="../../d6/d26/classciphers_1_1_hill_cipher.html#a7760f3665651a0a37937c79c62f219c0">gcd</a>(mat_determinant, L) != 1); <span class="comment">// while no common factors</span></div>
<div class="line"><a id="l00361" name="l00361"></a><span class="lineno"> 361</span> <span class="comment">// std::cout &lt;&lt;</span></div>
<div class="line"><a id="l00362" name="l00362"></a><span class="lineno"> 362</span> </div>
<div class="line"><a id="l00363" name="l00363"></a><span class="lineno"> 363</span> <span class="keywordflow">return</span> encrypt_key;</div>
<div class="line"><a id="l00364" name="l00364"></a><span class="lineno"> 364</span> }</div>
</div>
<div class="line"><a id="l00365" name="l00365"></a><span class="lineno"> 365</span></div>
<div class="foldopen" id="foldopen00372" data-start="{" data-end="}">
<div class="line"><a id="l00372" name="l00372"></a><span class="lineno"><a class="line" href="../../d6/d26/classciphers_1_1_hill_cipher.html#ab02c7563889bf1e363deb8e21967b706"> 372</a></span> <span class="keyword">static</span> <a class="code hl_typedef" href="../../d1/dbe/lu__decomposition_8h.html#ac029b636b353cefbb18b2fcc71e427e4">matrix&lt;int&gt;</a> <a class="code hl_function" href="../../d6/d26/classciphers_1_1_hill_cipher.html#ab02c7563889bf1e363deb8e21967b706">generate_decryption_key</a>(<a class="code hl_typedef" href="../../d1/dbe/lu__decomposition_8h.html#ac029b636b353cefbb18b2fcc71e427e4">matrix&lt;int&gt;</a> <span class="keyword">const</span> &amp;encrypt_key) {</div>
<div class="line"><a id="l00373" name="l00373"></a><span class="lineno"> 373</span> <span class="keywordtype">size_t</span> size = encrypt_key.size();</div>
<div class="line"><a id="l00374" name="l00374"></a><span class="lineno"> 374</span> <span class="keywordtype">int</span> L = std::strlen(<a class="code hl_variable" href="../../d6/d4e/namespaceciphers.html#ab9aec0ccf4b6809f652bb540be87c216">STRKEY</a>);</div>
<div class="line"><a id="l00375" name="l00375"></a><span class="lineno"> 375</span> </div>
<div class="line"><a id="l00376" name="l00376"></a><span class="lineno"> 376</span> <a class="code hl_typedef" href="../../d1/dbe/lu__decomposition_8h.html#ac029b636b353cefbb18b2fcc71e427e4">matrix&lt;int&gt;</a> decrypt_key(size, std::valarray&lt;int&gt;(size));</div>
<div class="line"><a id="l00377" name="l00377"></a><span class="lineno"> 377</span> <span class="keywordtype">int</span> det_encrypt = <span class="keyword">static_cast&lt;</span><span class="keywordtype">int</span><span class="keyword">&gt;</span>(<a class="code hl_function" href="../../d1/dbe/lu__decomposition_8h.html#a3108d43bd32c6fb3b3c158476c51ba7f">determinant_lu</a>(encrypt_key));</div>
<div class="line"><a id="l00378" name="l00378"></a><span class="lineno"> 378</span> </div>
<div class="line"><a id="l00379" name="l00379"></a><span class="lineno"> 379</span> <span class="keywordtype">int</span> mat_determinant = det_encrypt &lt; 0 ? det_encrypt % L : det_encrypt;</div>
<div class="line"><a id="l00380" name="l00380"></a><span class="lineno"> 380</span> </div>
<div class="line"><a id="l00381" name="l00381"></a><span class="lineno"> 381</span> <a class="code hl_typedef" href="../../d1/dbe/lu__decomposition_8h.html#ac029b636b353cefbb18b2fcc71e427e4">matrix&lt;double&gt;</a> tmp_inverse = <a class="code hl_function" href="../../d6/d26/classciphers_1_1_hill_cipher.html#a2eb58750b978a93ac5e6eb29e3e570b7">get_inverse</a>(encrypt_key);</div>
<div class="line"><a id="l00382" name="l00382"></a><span class="lineno"> 382</span> </div>
<div class="line"><a id="l00383" name="l00383"></a><span class="lineno"> 383</span> <span class="comment">// find co-prime factor for inversion</span></div>
<div class="line"><a id="l00384" name="l00384"></a><span class="lineno"> 384</span> <span class="keywordtype">int</span> det_inv = -1;</div>
<div class="line"><a id="l00385" name="l00385"></a><span class="lineno"> 385</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; L; i++) {</div>
<div class="line"><a id="l00386" name="l00386"></a><span class="lineno"> 386</span> <span class="keywordflow">if</span> (modulo(mat_determinant * i, L) == 1) {</div>
<div class="line"><a id="l00387" name="l00387"></a><span class="lineno"> 387</span> det_inv = i;</div>
<div class="line"><a id="l00388" name="l00388"></a><span class="lineno"> 388</span> <span class="keywordflow">break</span>;</div>
<div class="line"><a id="l00389" name="l00389"></a><span class="lineno"> 389</span> }</div>
<div class="line"><a id="l00390" name="l00390"></a><span class="lineno"> 390</span> }</div>
<div class="line"><a id="l00391" name="l00391"></a><span class="lineno"> 391</span> </div>
<div class="line"><a id="l00392" name="l00392"></a><span class="lineno"> 392</span> <span class="keywordflow">if</span> (det_inv == -1) {</div>
<div class="line"><a id="l00393" name="l00393"></a><span class="lineno"> 393</span> std::cerr &lt;&lt; <span class="stringliteral">&quot;Could not find a co-prime for inversion\n&quot;</span>;</div>
<div class="line"><a id="l00394" name="l00394"></a><span class="lineno"> 394</span> std::exit(EXIT_FAILURE);</div>
<div class="line"><a id="l00395" name="l00395"></a><span class="lineno"> 395</span> }</div>
<div class="line"><a id="l00396" name="l00396"></a><span class="lineno"> 396</span> </div>
<div class="line"><a id="l00397" name="l00397"></a><span class="lineno"> 397</span> mat_determinant = det_inv * det_encrypt;</div>
<div class="line"><a id="l00398" name="l00398"></a><span class="lineno"> 398</span> </div>
<div class="line"><a id="l00399" name="l00399"></a><span class="lineno"> 399</span> <span class="comment">// perform modular inverse of encryption matrix</span></div>
<div class="line"><a id="l00400" name="l00400"></a><span class="lineno"> 400</span> <span class="keywordtype">int</span> i;</div>
<div class="line"><a id="l00401" name="l00401"></a><span class="lineno"> 401</span><span class="preprocessor">#ifdef _OPENMP</span></div>
<div class="line"><a id="l00402" name="l00402"></a><span class="lineno"> 402</span><span class="preprocessor">#pragma parallel omp for private(i)</span></div>
<div class="line"><a id="l00403" name="l00403"></a><span class="lineno"> 403</span><span class="preprocessor">#endif</span></div>
<div class="line"><a id="l00404" name="l00404"></a><span class="lineno"> 404</span> <span class="keywordflow">for</span> (i = 0; i &lt; size; i++) {</div>
<div class="line"><a id="l00405" name="l00405"></a><span class="lineno"> 405</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j &lt; size; j++) {</div>
<div class="line"><a id="l00406" name="l00406"></a><span class="lineno"> 406</span> <span class="keywordtype">int</span> temp = std::round(tmp_inverse[i][j] * mat_determinant);</div>
<div class="line"><a id="l00407" name="l00407"></a><span class="lineno"> 407</span> decrypt_key[i][j] = modulo(temp, L);</div>
<div class="line"><a id="l00408" name="l00408"></a><span class="lineno"> 408</span> }</div>
<div class="line"><a id="l00409" name="l00409"></a><span class="lineno"> 409</span> }</div>
<div class="line"><a id="l00410" name="l00410"></a><span class="lineno"> 410</span> <span class="keywordflow">return</span> decrypt_key;</div>
<div class="line"><a id="l00411" name="l00411"></a><span class="lineno"> 411</span> }</div>
</div>
<div class="line"><a id="l00412" name="l00412"></a><span class="lineno"> 412</span></div>
<div class="foldopen" id="foldopen00424" data-start="{" data-end="}">
<div class="line"><a id="l00424" name="l00424"></a><span class="lineno"><a class="line" href="../../d6/d26/classciphers_1_1_hill_cipher.html#a405b0a28d66a61239d3565d5256f9cb5"> 424</a></span> <span class="keyword">static</span> std::pair&lt;matrix&lt;int&gt;, <a class="code hl_typedef" href="../../d1/dbe/lu__decomposition_8h.html#ac029b636b353cefbb18b2fcc71e427e4">matrix&lt;int&gt;</a>&gt; <a class="code hl_function" href="../../d6/d26/classciphers_1_1_hill_cipher.html#a405b0a28d66a61239d3565d5256f9cb5">generate_keys</a>(<span class="keywordtype">size_t</span> size,</div>
<div class="line"><a id="l00425" name="l00425"></a><span class="lineno"> 425</span> <span class="keywordtype">int</span> limit1 = 0,</div>
<div class="line"><a id="l00426" name="l00426"></a><span class="lineno"> 426</span> <span class="keywordtype">int</span> limit2 = 10) {</div>
<div class="line"><a id="l00427" name="l00427"></a><span class="lineno"> 427</span> <a class="code hl_typedef" href="../../d1/dbe/lu__decomposition_8h.html#ac029b636b353cefbb18b2fcc71e427e4">matrix&lt;int&gt;</a> encrypt_key = <a class="code hl_function" href="../../d6/d26/classciphers_1_1_hill_cipher.html#a642f70fb54cb50b00fb6df7c3f2b120e">generate_encryption_key</a>(size);</div>
<div class="line"><a id="l00428" name="l00428"></a><span class="lineno"> 428</span> <a class="code hl_typedef" href="../../d1/dbe/lu__decomposition_8h.html#ac029b636b353cefbb18b2fcc71e427e4">matrix&lt;int&gt;</a> decrypt_key = <a class="code hl_function" href="../../d6/d26/classciphers_1_1_hill_cipher.html#ab02c7563889bf1e363deb8e21967b706">generate_decryption_key</a>(encrypt_key);</div>
<div class="line"><a id="l00429" name="l00429"></a><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>
<div class="line"><a id="l00430" name="l00430"></a><span class="lineno"> 430</span> <span class="keywordflow">while</span> (std::abs(det2) &lt; 0.1 || std::abs(det2) &gt; 1e3) {</div>
<div class="line"><a id="l00431" name="l00431"></a><span class="lineno"> 431</span> encrypt_key = <a class="code hl_function" href="../../d6/d26/classciphers_1_1_hill_cipher.html#a642f70fb54cb50b00fb6df7c3f2b120e">generate_encryption_key</a>(size, limit1, limit2);</div>
<div class="line"><a id="l00432" name="l00432"></a><span class="lineno"> 432</span> decrypt_key = <a class="code hl_function" href="../../d6/d26/classciphers_1_1_hill_cipher.html#ab02c7563889bf1e363deb8e21967b706">generate_decryption_key</a>(encrypt_key);</div>
<div class="line"><a id="l00433" name="l00433"></a><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>
<div class="line"><a id="l00434" name="l00434"></a><span class="lineno"> 434</span> }</div>
<div class="line"><a id="l00435" name="l00435"></a><span class="lineno"> 435</span> <span class="keywordflow">return</span> std::make_pair(encrypt_key, decrypt_key);</div>
<div class="line"><a id="l00436" name="l00436"></a><span class="lineno"> 436</span> }</div>
</div>
<div class="line"><a id="l00437" name="l00437"></a><span class="lineno"> 437</span></div>
<div class="foldopen" id="foldopen00445" data-start="{" data-end="}">
<div class="line"><a id="l00445" name="l00445"></a><span class="lineno"><a class="line" href="../../d6/d26/classciphers_1_1_hill_cipher.html#aa8bbb6e4a5749f6008b06602d5103917"> 445</a></span> <span class="keyword">static</span> <span class="keyword">const</span> std::string <a class="code hl_function" href="../../d6/d26/classciphers_1_1_hill_cipher.html#aa8bbb6e4a5749f6008b06602d5103917">encrypt_text</a>(<span class="keyword">const</span> std::string &amp;text,</div>
<div class="line"><a id="l00446" name="l00446"></a><span class="lineno"> 446</span> <span class="keyword">const</span> <a class="code hl_typedef" href="../../d1/dbe/lu__decomposition_8h.html#ac029b636b353cefbb18b2fcc71e427e4">matrix&lt;int&gt;</a> &amp;encrypt_key) {</div>
<div class="line"><a id="l00447" name="l00447"></a><span class="lineno"> 447</span> <span class="keywordflow">return</span> <a class="code hl_function" href="../../d6/d26/classciphers_1_1_hill_cipher.html#ad667fa0860977f6d6d443fa1dbcd80aa">codec</a>(text, encrypt_key);</div>
<div class="line"><a id="l00448" name="l00448"></a><span class="lineno"> 448</span> }</div>
</div>
<div class="line"><a id="l00449" name="l00449"></a><span class="lineno"> 449</span></div>
<div class="foldopen" id="foldopen00457" data-start="{" data-end="}">
<div class="line"><a id="l00457" name="l00457"></a><span class="lineno"><a class="line" href="../../d6/d26/classciphers_1_1_hill_cipher.html#a427acfac1dbff3f48a2b071d449d965b"> 457</a></span> <span class="keyword">static</span> <span class="keyword">const</span> std::string <a class="code hl_function" href="../../d6/d26/classciphers_1_1_hill_cipher.html#a427acfac1dbff3f48a2b071d449d965b">decrypt_text</a>(<span class="keyword">const</span> std::string &amp;text,</div>
<div class="line"><a id="l00458" name="l00458"></a><span class="lineno"> 458</span> <span class="keyword">const</span> <a class="code hl_typedef" href="../../d1/dbe/lu__decomposition_8h.html#ac029b636b353cefbb18b2fcc71e427e4">matrix&lt;int&gt;</a> &amp;decrypt_key) {</div>
<div class="line"><a id="l00459" name="l00459"></a><span class="lineno"> 459</span> <span class="keywordflow">return</span> <a class="code hl_function" href="../../d6/d26/classciphers_1_1_hill_cipher.html#ad667fa0860977f6d6d443fa1dbcd80aa">codec</a>(text, decrypt_key);</div>
<div class="line"><a id="l00460" name="l00460"></a><span class="lineno"> 460</span> }</div>
</div>
<div class="line"><a id="l00461" name="l00461"></a><span class="lineno"> 461</span>};</div>
</div>
<div class="line"><a id="l00462" name="l00462"></a><span class="lineno"> 462</span> </div>
<div class="line"><a id="l00463" name="l00463"></a><span class="lineno"> 463</span>} <span class="comment">// namespace ciphers</span></div>
<div class="line"><a id="l00464" name="l00464"></a><span class="lineno"> 464</span></div>
<div class="foldopen" id="foldopen00470" data-start="{" data-end="}">
<div class="line"><a id="l00470" name="l00470"></a><span class="lineno"><a class="line" href="../../d7/db9/hill__cipher_8cpp.html#a3147ad576f8a94a2a6b66948672b452b"> 470</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="../../d3/dae/dsu__path__compression_8cpp.html#ae7880ce913f3058a35ff106d5be9e243">test1</a>(<span class="keyword">const</span> std::string &amp;text) {</div>
<div class="line"><a id="l00471" name="l00471"></a><span class="lineno"> 471</span> <span class="comment">// std::string text = &quot;Hello world!&quot;;</span></div>
<div class="line"><a id="l00472" name="l00472"></a><span class="lineno"> 472</span> std::cout &lt;&lt; <span class="stringliteral">&quot;======Test 1 (3x3 key) ======\nOriginal text:\n\t&quot;</span> &lt;&lt; text</div>
<div class="line"><a id="l00473" name="l00473"></a><span class="lineno"> 473</span> &lt;&lt; std::endl;</div>
<div class="line"><a id="l00474" name="l00474"></a><span class="lineno"> 474</span> </div>
<div class="line"><a id="l00475" name="l00475"></a><span class="lineno"> 475</span> std::pair&lt;matrix&lt;int&gt;, <a class="code hl_typedef" href="../../d1/dbe/lu__decomposition_8h.html#ac029b636b353cefbb18b2fcc71e427e4">matrix&lt;int&gt;</a>&gt; p =</div>
<div class="line"><a id="l00476" name="l00476"></a><span class="lineno"> 476</span> <a class="code hl_function" href="../../d6/d26/classciphers_1_1_hill_cipher.html#a405b0a28d66a61239d3565d5256f9cb5">ciphers::HillCipher::generate_keys</a>(3, 0, 100);</div>
<div class="line"><a id="l00477" name="l00477"></a><span class="lineno"> 477</span> <a class="code hl_typedef" href="../../d1/dbe/lu__decomposition_8h.html#ac029b636b353cefbb18b2fcc71e427e4">matrix&lt;int&gt;</a> ekey = p.first;</div>
<div class="line"><a id="l00478" name="l00478"></a><span class="lineno"> 478</span> <a class="code hl_typedef" href="../../d1/dbe/lu__decomposition_8h.html#ac029b636b353cefbb18b2fcc71e427e4">matrix&lt;int&gt;</a> dkey = p.second;</div>
<div class="line"><a id="l00479" name="l00479"></a><span class="lineno"> 479</span> </div>
<div class="line"><a id="l00480" name="l00480"></a><span class="lineno"> 480</span> <span class="comment">// matrix&lt;int&gt; ekey = {{22, 28, 25}, {5, 26, 15}, {14, 18, 9}};</span></div>
<div class="line"><a id="l00481" name="l00481"></a><span class="lineno"> 481</span> <span class="comment">// std::cout &lt;&lt; &quot;Encryption key: \n&quot; &lt;&lt; ekey;</span></div>
<div class="line"><a id="l00482" name="l00482"></a><span class="lineno"> 482</span> std::string gibberish = <a class="code hl_function" href="../../d6/d26/classciphers_1_1_hill_cipher.html#aa8bbb6e4a5749f6008b06602d5103917">ciphers::HillCipher::encrypt_text</a>(text, ekey);</div>
<div class="line"><a id="l00483" name="l00483"></a><span class="lineno"> 483</span> std::cout &lt;&lt; <span class="stringliteral">&quot;Encrypted text:\n\t&quot;</span> &lt;&lt; gibberish &lt;&lt; std::endl;</div>
<div class="line"><a id="l00484" name="l00484"></a><span class="lineno"> 484</span> </div>
<div class="line"><a id="l00485" name="l00485"></a><span class="lineno"> 485</span> <span class="comment">// matrix&lt;int&gt; dkey = ciphers::HillCipher::generate_decryption_key(ekey);</span></div>
<div class="line"><a id="l00486" name="l00486"></a><span class="lineno"> 486</span> <span class="comment">// std::cout &lt;&lt; &quot;Decryption key: \n&quot; &lt;&lt; dkey;</span></div>
<div class="line"><a id="l00487" name="l00487"></a><span class="lineno"> 487</span> std::string txt_back = <a class="code hl_function" href="../../d6/d26/classciphers_1_1_hill_cipher.html#a427acfac1dbff3f48a2b071d449d965b">ciphers::HillCipher::decrypt_text</a>(gibberish, dkey);</div>
<div class="line"><a id="l00488" name="l00488"></a><span class="lineno"> 488</span> std::cout &lt;&lt; <span class="stringliteral">&quot;Reconstruct text:\n\t&quot;</span> &lt;&lt; txt_back &lt;&lt; std::endl;</div>
<div class="line"><a id="l00489" name="l00489"></a><span class="lineno"> 489</span> </div>
<div class="line"><a id="l00490" name="l00490"></a><span class="lineno"> 490</span> std::ofstream out_file(<span class="stringliteral">&quot;hill_cipher_test1.txt&quot;</span>);</div>
<div class="line"><a id="l00491" name="l00491"></a><span class="lineno"> 491</span> out_file &lt;&lt; <span class="stringliteral">&quot;Block size: &quot;</span> &lt;&lt; ekey.size() &lt;&lt; <span class="stringliteral">&quot;\n&quot;</span>;</div>
<div class="line"><a id="l00492" name="l00492"></a><span class="lineno"> 492</span> out_file &lt;&lt; <span class="stringliteral">&quot;Encryption Key:\n&quot;</span> &lt;&lt; ekey;</div>
<div class="line"><a id="l00493" name="l00493"></a><span class="lineno"> 493</span> out_file &lt;&lt; <span class="stringliteral">&quot;\nDecryption Key:\n&quot;</span> &lt;&lt; dkey;</div>
<div class="line"><a id="l00494" name="l00494"></a><span class="lineno"> 494</span> out_file.close();</div>
<div class="line"><a id="l00495" name="l00495"></a><span class="lineno"> 495</span> </div>
<div class="line"><a id="l00496" name="l00496"></a><span class="lineno"> 496</span> assert(txt_back == text);</div>
<div class="line"><a id="l00497" name="l00497"></a><span class="lineno"> 497</span> std::cout &lt;&lt; <span class="stringliteral">&quot;Passed :)\n&quot;</span>;</div>
<div class="line"><a id="l00498" name="l00498"></a><span class="lineno"> 498</span>}</div>
</div>
<div class="line"><a id="l00499" name="l00499"></a><span class="lineno"> 499</span></div>
<div class="foldopen" id="foldopen00505" data-start="{" data-end="}">
<div class="line"><a id="l00505" name="l00505"></a><span class="lineno"><a class="line" href="../../d7/db9/hill__cipher_8cpp.html#a04391124480d2a49f2dec900237b0712"> 505</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="../../d3/dae/dsu__path__compression_8cpp.html#a45d94ead4cf4e1ff9f87c38bc99f59ae">test2</a>(<span class="keyword">const</span> std::string &amp;text) {</div>
<div class="line"><a id="l00506" name="l00506"></a><span class="lineno"> 506</span> <span class="comment">// std::string text = &quot;Hello world!&quot;;</span></div>
<div class="line"><a id="l00507" name="l00507"></a><span class="lineno"> 507</span> std::cout &lt;&lt; <span class="stringliteral">&quot;======Test 2 (8x8 key) ======\nOriginal text:\n\t&quot;</span> &lt;&lt; text</div>
<div class="line"><a id="l00508" name="l00508"></a><span class="lineno"> 508</span> &lt;&lt; std::endl;</div>
<div class="line"><a id="l00509" name="l00509"></a><span class="lineno"> 509</span> </div>
<div class="line"><a id="l00510" name="l00510"></a><span class="lineno"> 510</span> std::pair&lt;matrix&lt;int&gt;, <a class="code hl_typedef" href="../../d1/dbe/lu__decomposition_8h.html#ac029b636b353cefbb18b2fcc71e427e4">matrix&lt;int&gt;</a>&gt; p =</div>
<div class="line"><a id="l00511" name="l00511"></a><span class="lineno"> 511</span> <a class="code hl_function" href="../../d6/d26/classciphers_1_1_hill_cipher.html#a405b0a28d66a61239d3565d5256f9cb5">ciphers::HillCipher::generate_keys</a>(8, 0, 3);</div>
<div class="line"><a id="l00512" name="l00512"></a><span class="lineno"> 512</span> <a class="code hl_typedef" href="../../d1/dbe/lu__decomposition_8h.html#ac029b636b353cefbb18b2fcc71e427e4">matrix&lt;int&gt;</a> ekey = p.first;</div>
<div class="line"><a id="l00513" name="l00513"></a><span class="lineno"> 513</span> <a class="code hl_typedef" href="../../d1/dbe/lu__decomposition_8h.html#ac029b636b353cefbb18b2fcc71e427e4">matrix&lt;int&gt;</a> dkey = p.second;</div>
<div class="line"><a id="l00514" name="l00514"></a><span class="lineno"> 514</span> </div>
<div class="line"><a id="l00515" name="l00515"></a><span class="lineno"> 515</span> std::string gibberish = <a class="code hl_function" href="../../d6/d26/classciphers_1_1_hill_cipher.html#aa8bbb6e4a5749f6008b06602d5103917">ciphers::HillCipher::encrypt_text</a>(text, ekey);</div>
<div class="line"><a id="l00516" name="l00516"></a><span class="lineno"> 516</span> std::cout &lt;&lt; <span class="stringliteral">&quot;Encrypted text:\n\t&quot;</span> &lt;&lt; gibberish &lt;&lt; std::endl;</div>
<div class="line"><a id="l00517" name="l00517"></a><span class="lineno"> 517</span> </div>
<div class="line"><a id="l00518" name="l00518"></a><span class="lineno"> 518</span> std::string txt_back = <a class="code hl_function" href="../../d6/d26/classciphers_1_1_hill_cipher.html#a427acfac1dbff3f48a2b071d449d965b">ciphers::HillCipher::decrypt_text</a>(gibberish, dkey);</div>
<div class="line"><a id="l00519" name="l00519"></a><span class="lineno"> 519</span> std::cout &lt;&lt; <span class="stringliteral">&quot;Reconstruct text:\n\t&quot;</span> &lt;&lt; txt_back &lt;&lt; std::endl;</div>
<div class="line"><a id="l00520" name="l00520"></a><span class="lineno"> 520</span> </div>
<div class="line"><a id="l00521" name="l00521"></a><span class="lineno"> 521</span> std::ofstream out_file(<span class="stringliteral">&quot;hill_cipher_test2.txt&quot;</span>);</div>
<div class="line"><a id="l00522" name="l00522"></a><span class="lineno"> 522</span> out_file &lt;&lt; <span class="stringliteral">&quot;Block size: &quot;</span> &lt;&lt; ekey.size() &lt;&lt; <span class="stringliteral">&quot;\n&quot;</span>;</div>
<div class="line"><a id="l00523" name="l00523"></a><span class="lineno"> 523</span> out_file &lt;&lt; <span class="stringliteral">&quot;Encryption Key:\n&quot;</span> &lt;&lt; ekey;</div>
<div class="line"><a id="l00524" name="l00524"></a><span class="lineno"> 524</span> out_file &lt;&lt; <span class="stringliteral">&quot;\nDecryption Key:\n&quot;</span> &lt;&lt; dkey;</div>
<div class="line"><a id="l00525" name="l00525"></a><span class="lineno"> 525</span> out_file.close();</div>
<div class="line"><a id="l00526" name="l00526"></a><span class="lineno"> 526</span> </div>
<div class="line"><a id="l00527" name="l00527"></a><span class="lineno"> 527</span> assert(txt_back.compare(0, text.size(), text) == 0);</div>
<div class="line"><a id="l00528" name="l00528"></a><span class="lineno"> 528</span> std::cout &lt;&lt; <span class="stringliteral">&quot;Passed :)\n&quot;</span>;</div>
<div class="line"><a id="l00529" name="l00529"></a><span class="lineno"> 529</span>}</div>
</div>
<div class="line"><a id="l00530" name="l00530"></a><span class="lineno"> 530</span></div>
<div class="foldopen" id="foldopen00532" data-start="{" data-end="}">
<div class="line"><a id="l00532" name="l00532"></a><span class="lineno"><a class="line" href="../../d7/db9/hill__cipher_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4"> 532</a></span><span class="keywordtype">int</span> <a class="code hl_function" href="../../d7/db9/hill__cipher_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a>() {</div>
<div class="line"><a id="l00533" name="l00533"></a><span class="lineno"> 533</span> std::srand(std::time(<span class="keyword">nullptr</span>));</div>
<div class="line"><a id="l00534" name="l00534"></a><span class="lineno"> 534</span> std::cout &lt;&lt; <span class="stringliteral">&quot;Key dictionary: (&quot;</span> &lt;&lt; std::strlen(<a class="code hl_variable" href="../../d6/d4e/namespaceciphers.html#ab9aec0ccf4b6809f652bb540be87c216">ciphers::STRKEY</a>) &lt;&lt; <span class="stringliteral">&quot;)\n\t&quot;</span></div>
<div class="line"><a id="l00535" name="l00535"></a><span class="lineno"> 535</span> &lt;&lt; <a class="code hl_variable" href="../../d6/d4e/namespaceciphers.html#ab9aec0ccf4b6809f652bb540be87c216">ciphers::STRKEY</a> &lt;&lt; <span class="stringliteral">&quot;\n&quot;</span>;</div>
<div class="line"><a id="l00536" name="l00536"></a><span class="lineno"> 536</span> </div>
<div class="line"><a id="l00537" name="l00537"></a><span class="lineno"> 537</span> std::string text = <span class="stringliteral">&quot;This is a simple text with numb3r5 and exclamat!0n.&quot;</span>;</div>
<div class="line"><a id="l00538" name="l00538"></a><span class="lineno"> 538</span> </div>
<div class="line"><a id="l00539" name="l00539"></a><span class="lineno"> 539</span> <a class="code hl_function" href="../../d3/dae/dsu__path__compression_8cpp.html#ae7880ce913f3058a35ff106d5be9e243">test1</a>(text);</div>
<div class="line"><a id="l00540" name="l00540"></a><span class="lineno"> 540</span> <a class="code hl_function" href="../../d3/dae/dsu__path__compression_8cpp.html#a45d94ead4cf4e1ff9f87c38bc99f59ae">test2</a>(text);</div>
<div class="line"><a id="l00541" name="l00541"></a><span class="lineno"> 541</span> </div>
<div class="line"><a id="l00542" name="l00542"></a><span class="lineno"> 542</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><a id="l00543" name="l00543"></a><span class="lineno"> 543</span>}</div>
</div>
<div class="ttc" id="aclassciphers_1_1_hill_cipher_html"><div class="ttname"><a href="../../d6/d26/classciphers_1_1_hill_cipher.html">ciphers::HillCipher</a></div><div class="ttdoc">Implementation of Hill Cipher algorithm.</div><div class="ttdef"><b>Definition</b> <a href="#l00082">hill_cipher.cpp:82</a></div></div>
<div class="ttc" id="aclassciphers_1_1_hill_cipher_html_a12f727cca9e21f9539cd74b6603adf0c"><div class="ttname"><a href="../../d6/d26/classciphers_1_1_hill_cipher.html#a12f727cca9e21f9539cd74b6603adf0c">ciphers::HillCipher::get_idx_char</a></div><div class="ttdeci">static char get_idx_char(const uint8_t idx)</div><div class="ttdoc">Get the character at a given index in the STRKEY.</div><div class="ttdef"><b>Definition</b> <a href="#l00183">hill_cipher.cpp:183</a></div></div>
<div class="ttc" id="aclassciphers_1_1_hill_cipher_html_a2eb58750b978a93ac5e6eb29e3e570b7"><div class="ttname"><a href="../../d6/d26/classciphers_1_1_hill_cipher.html#a2eb58750b978a93ac5e6eb29e3e570b7">ciphers::HillCipher::get_inverse</a></div><div class="ttdeci">static matrix&lt; double &gt; get_inverse(matrix&lt; T &gt; const &amp;A)</div><div class="ttdef"><b>Definition</b> <a href="#l00251">hill_cipher.cpp:251</a></div></div>
<div class="ttc" id="aclassciphers_1_1_hill_cipher_html_a405b0a28d66a61239d3565d5256f9cb5"><div class="ttname"><a href="../../d6/d26/classciphers_1_1_hill_cipher.html#a405b0a28d66a61239d3565d5256f9cb5">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> <a href="#l00424">hill_cipher.cpp:424</a></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> <a href="#l00457">hill_cipher.cpp:457</a></div></div>
<div class="ttc" id="aclassciphers_1_1_hill_cipher_html_a629be41c1ab78850963e4ce14e1d11d9"><div class="ttname"><a href="../../d6/d26/classciphers_1_1_hill_cipher.html#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> <a href="#l00093">hill_cipher.cpp:93</a></div></div>
<div class="ttc" id="aclassciphers_1_1_hill_cipher_html_a642f70fb54cb50b00fb6df7c3f2b120e"><div class="ttname"><a href="../../d6/d26/classciphers_1_1_hill_cipher.html#a642f70fb54cb50b00fb6df7c3f2b120e">ciphers::HillCipher::generate_encryption_key</a></div><div class="ttdeci">static matrix&lt; int &gt; 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> <a href="#l00340">hill_cipher.cpp:340</a></div></div>
<div class="ttc" id="aclassciphers_1_1_hill_cipher_html_a716d0313141499d16f57c0c107f04395"><div class="ttname"><a href="../../d6/d26/classciphers_1_1_hill_cipher.html#a716d0313141499d16f57c0c107f04395">ciphers::HillCipher::rand_range</a></div><div class="ttdeci">static double rand_range(matrix&lt; T2 &gt; *M, T1 a, T1 b)</div><div class="ttdoc">Function overload to fill a matrix with random integers in a given interval.</div><div class="ttdef"><b>Definition</b> <a href="#l00119">hill_cipher.cpp:119</a></div></div>
<div class="ttc" id="aclassciphers_1_1_hill_cipher_html_a7760f3665651a0a37937c79c62f219c0"><div class="ttname"><a href="../../d6/d26/classciphers_1_1_hill_cipher.html#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&#39;s algorithm.</div><div class="ttdef"><b>Definition</b> <a href="#l00139">hill_cipher.cpp:139</a></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> <a href="#l00445">hill_cipher.cpp:445</a></div></div>
<div class="ttc" id="aclassciphers_1_1_hill_cipher_html_ab02c7563889bf1e363deb8e21967b706"><div class="ttname"><a href="../../d6/d26/classciphers_1_1_hill_cipher.html#ab02c7563889bf1e363deb8e21967b706">ciphers::HillCipher::generate_decryption_key</a></div><div class="ttdeci">static matrix&lt; int &gt; generate_decryption_key(matrix&lt; int &gt; const &amp;encrypt_key)</div><div class="ttdoc">Generate decryption matrix from an encryption matrix key.</div><div class="ttdef"><b>Definition</b> <a href="#l00372">hill_cipher.cpp:372</a></div></div>
<div class="ttc" id="aclassciphers_1_1_hill_cipher_html_ad36cbcc7a458b3f3a2af0c4aa1126590"><div class="ttname"><a href="../../d6/d26/classciphers_1_1_hill_cipher.html#ad36cbcc7a458b3f3a2af0c4aa1126590">ciphers::HillCipher::mat_mul</a></div><div class="ttdeci">static const std::valarray&lt; uint8_t &gt; mat_mul(const std::valarray&lt; uint8_t &gt; &amp;vector, const matrix&lt; int &gt; &amp;key)</div><div class="ttdoc">helper function to perform vector multiplication with encryption or decryption matrix</div><div class="ttdef"><b>Definition</b> <a href="#l00160">hill_cipher.cpp:160</a></div></div>
<div class="ttc" id="aclassciphers_1_1_hill_cipher_html_ad667fa0860977f6d6d443fa1dbcd80aa"><div class="ttname"><a href="../../d6/d26/classciphers_1_1_hill_cipher.html#ad667fa0860977f6d6d443fa1dbcd80aa">ciphers::HillCipher::codec</a></div><div class="ttdeci">static const std::string codec(const std::string &amp;text, const matrix&lt; int &gt; &amp;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> <a href="#l00211">hill_cipher.cpp:211</a></div></div>
<div class="ttc" id="aclassciphers_1_1_hill_cipher_html_ae77cad522fa44b8c985779a7188d2f41"><div class="ttname"><a href="../../d6/d26/classciphers_1_1_hill_cipher.html#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> <a href="#l00191">hill_cipher.cpp:191</a></div></div>
<div class="ttc" id="aclassvector_html"><div class="ttname"><a href="../../d7/dfc/classvector.html">vector</a></div><div class="ttdoc">STL class.</div></div>
<div class="ttc" id="adsu__path__compression_8cpp_html_a45d94ead4cf4e1ff9f87c38bc99f59ae"><div class="ttname"><a href="../../d3/dae/dsu__path__compression_8cpp.html#a45d94ead4cf4e1ff9f87c38bc99f59ae">test2</a></div><div class="ttdeci">static void test2()</div><div class="ttdoc">Self-implementations, 2nd test.</div><div class="ttdef"><b>Definition</b> <a href="../../d3/dae/dsu__path__compression_8cpp_source.html#l00187">dsu_path_compression.cpp:187</a></div></div>
<div class="ttc" id="adsu__path__compression_8cpp_html_ae7880ce913f3058a35ff106d5be9e243"><div class="ttname"><a href="../../d3/dae/dsu__path__compression_8cpp.html#ae7880ce913f3058a35ff106d5be9e243">test1</a></div><div class="ttdeci">static void test1()</div><div class="ttdoc">Self-test implementations, 1st test.</div><div class="ttdef"><b>Definition</b> <a href="../../d3/dae/dsu__path__compression_8cpp_source.html#l00170">dsu_path_compression.cpp:170</a></div></div>
<div class="ttc" id="ahill__cipher_8cpp_html_a34bfcd756610834acac501f9eea1e2eb"><div class="ttname"><a href="../../d7/db9/hill__cipher_8cpp.html#a34bfcd756610834acac501f9eea1e2eb">operator&lt;&lt;</a></div><div class="ttdeci">static std::ostream &amp; operator&lt;&lt;(std::ostream &amp;out, matrix&lt; T &gt; const &amp;v)</div><div class="ttdef"><b>Definition</b> <a href="#l00055">hill_cipher.cpp:55</a></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> <a href="#l00532">hill_cipher.cpp:532</a></div></div>
<div class="ttc" id="alu__decomposition_8h_html"><div class="ttname"><a href="../../d1/dbe/lu__decomposition_8h.html">lu_decomposition.h</a></div><div class="ttdoc">Functions associated with LU Decomposition of a square matrix.</div></div>
<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&lt; T &gt; &amp;A)</div><div class="ttdef"><b>Definition</b> <a href="../../d1/dbe/lu__decomposition_8h_source.html#l00090">lu_decomposition.h:90</a></div></div>
<div class="ttc" id="alu__decomposition_8h_html_ac029b636b353cefbb18b2fcc71e427e4"><div class="ttname"><a href="../../d1/dbe/lu__decomposition_8h.html#ac029b636b353cefbb18b2fcc71e427e4">matrix</a></div><div class="ttdeci">std::vector&lt; std::valarray&lt; T &gt; &gt; matrix</div><div class="ttdef"><b>Definition</b> <a href="../../d1/dbe/lu__decomposition_8h_source.html#l00019">lu_decomposition.h:19</a></div></div>
<div class="ttc" id="anamespaceciphers_html"><div class="ttname"><a href="../../d6/d4e/namespaceciphers.html">ciphers</a></div><div class="ttdoc">Algorithms for encryption and decryption.</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> <a href="#l00074">hill_cipher.cpp:74</a></div></div>
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