Documentation for 6376bf46af

2026-07-16 11:32:44 +08:00 · 2023-09-27 18:42:32 +00:00
parent d28eba1fef
commit b5b4d78981
5708 changed files with 52275 additions and 51112 deletions
--- a/d4/d86/large__number_8h.html
+++ b/d4/d86/large__number_8h.html
@@ -3,7 +3,7 @@
 <head>
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 <meta http-equiv="X-UA-Compatible" content="IE=11"/>
-<meta name="generator" content="Doxygen 1.9.7"/>
+<meta name="generator" content="Doxygen 1.9.8"/>
 <meta name="viewport" content="width=device-width, initial-scale=1"/>
 <title>Algorithms_in_C++: math/large_number.h File Reference</title>
 <link href="../../tabs.css" rel="stylesheet" type="text/css"/>
@@ -41,7 +41,7 @@ MathJax.Hub.Config({
 </table>
 </div>
 <!-- end header part -->
-<!-- Generated by Doxygen 1.9.7 -->
+<!-- Generated by Doxygen 1.9.8 -->
 <script type="text/javascript">
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@@ -139,7 +139,7 @@ Classes</h2></td></tr>
 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
  <ul>
    <li class="navelem"><a class="el" href="../../dir_296d53ceaeaa7e099814a6def439fe8a.html">math</a></li><li class="navelem"><a class="el" href="../../d4/d86/large__number_8h.html">large_number.h</a></li>
-    <li class="footer">Generated by <a href="https://www.doxygen.org/index.html"><img class="footer" src="../../doxygen.svg" width="104" height="31" alt="doxygen"/></a> 1.9.7 </li>
+    <li class="footer">Generated by <a href="https://www.doxygen.org/index.html"><img class="footer" src="../../doxygen.svg" width="104" height="31" alt="doxygen"/></a> 1.9.8 </li>
  </ul>
 </div>
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--- a/d4/d86/large__number_8h_source.html
+++ b/d4/d86/large__number_8h_source.html
@@ -3,7 +3,7 @@
 <head>
 <meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
 <meta http-equiv="X-UA-Compatible" content="IE=11"/>
-<meta name="generator" content="Doxygen 1.9.7"/>
+<meta name="generator" content="Doxygen 1.9.8"/>
 <meta name="viewport" content="width=device-width, initial-scale=1"/>
 <title>Algorithms_in_C++: math/large_number.h Source File</title>
 <link href="../../tabs.css" rel="stylesheet" type="text/css"/>
@@ -41,7 +41,7 @@ MathJax.Hub.Config({
 </table>
 </div>
 <!-- end header part -->
-<!-- Generated by Doxygen 1.9.7 -->
+<!-- Generated by Doxygen 1.9.8 -->
 <script type="text/javascript">
 /* @license magnet:?xt=urn:btih:d3d9a9a6595521f9666a5e94cc830dab83b65699&amp;dn=expat.txt MIT */
 var searchBox = new SearchBox("searchBox", "../../search/",'.html');
@@ -58,6 +58,11 @@ $(function() {
 /* @license-end */
 </script>
 <div id="main-nav"></div>
+<script type="text/javascript">
+/* @license magnet:?xt=urn:btih:d3d9a9a6595521f9666a5e94cc830dab83b65699&amp;dn=expat.txt MIT */
+$(document).ready(function() { init_codefold(1); });
+/* @license-end */
+</script>
 </div><!-- top -->
 <div id="side-nav" class="ui-resizable side-nav-resizable">
  <div id="nav-tree">
@@ -123,6 +128,7 @@ $(document).ready(function(){initNavTree('d4/d86/large__number_8h_source.html','
 <div class="line"><a id="l00021" name="l00021"></a><span class="lineno">   21</span><span class="comment"> * digit to the number, perform multiplication of</span></div>
 <div class="line"><a id="l00022" name="l00022"></a><span class="lineno">   22</span><span class="comment"> * large number with long unsigned integers.</span></div>
 <div class="line"><a id="l00023" name="l00023"></a><span class="lineno">   23</span><span class="comment"> **/</span></div>
+<div class="foldopen" id="foldopen00024" data-start="{" data-end="};">
 <div class="line"><a id="l00024" name="l00024"></a><span class="lineno"><a class="line" href="../../db/d82/classlarge__number.html">   24</a></span><span class="keyword">class </span><a class="code hl_class" href="../../db/d82/classlarge__number.html">large_number</a> {</div>
 <div class="line"><a id="l00025" name="l00025"></a><span class="lineno">   25</span> <span class="keyword">public</span>:<span class="comment"></span></div>
 <div class="line"><a id="l00026" name="l00026"></a><span class="lineno">   26</span><span class="comment">    /**&lt; initializer with value = 1 */</span></div>
@@ -147,9 +153,11 @@ $(document).ready(function(){initNavTree('d4/d86/large__number_8h_source.html','
 <div class="line"><a id="l00045" name="l00045"></a><span class="lineno">   45</span>    }</div>
 <div class="line"><a id="l00046" name="l00046"></a><span class="lineno">   46</span><span class="comment"></span> </div>
 <div class="line"><a id="l00047" name="l00047"></a><span class="lineno">   47</span><span class="comment">    /**&lt; initializer from another large_number */</span></div>
+<div class="foldopen" id="foldopen00048" data-start="{" data-end="}">
 <div class="line"><a id="l00048" name="l00048"></a><span class="lineno"><a class="line" href="../../db/d82/classlarge__number.html#a0b1efd203274e38a67b78937dfb9b872">   48</a></span>    <a class="code hl_function" href="../../db/d82/classlarge__number.html#a0b1efd203274e38a67b78937dfb9b872">large_number</a>(<span class="keyword">const</span> <a class="code hl_class" href="../../db/d82/classlarge__number.html">large_number</a> &amp;a) : <a class="code hl_variable" href="../../db/d82/classlarge__number.html#af2b3ec9c35842d3a46ac7326f268af57">_digits</a>(a.<a class="code hl_variable" href="../../db/d82/classlarge__number.html#af2b3ec9c35842d3a46ac7326f268af57">_digits</a>) {}</div>
 <div class="line"><a id="l00049" name="l00049"></a><span class="lineno">   49</span><span class="comment"></span> </div>
 <div class="line"><a id="l00050" name="l00050"></a><span class="lineno">   50</span><span class="comment">    /**&lt; initializer from a vector */</span></div>
+<div class="foldopen" id="foldopen00051" data-start="{" data-end="}">
 <div class="line"><a id="l00051" name="l00051"></a><span class="lineno"><a class="line" href="../../db/d82/classlarge__number.html#a76ddf1ed1b00fb8c107ea56f7f91e42f">   51</a></span>    <span class="keyword">explicit</span> <a class="code hl_function" href="../../db/d82/classlarge__number.html#a76ddf1ed1b00fb8c107ea56f7f91e42f">large_number</a>(<a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;unsigned char&gt;</a> &amp;vec) : <a class="code hl_variable" href="../../db/d82/classlarge__number.html#af2b3ec9c35842d3a46ac7326f268af57">_digits</a>(vec) {}</div>
 <div class="line"><a id="l00052" name="l00052"></a><span class="lineno">   52</span><span class="comment"></span> </div>
 <div class="line"><a id="l00053" name="l00053"></a><span class="lineno">   53</span><span class="comment">    /**&lt; initializer from a string */</span></div>
@@ -164,6 +172,7 @@ $(document).ready(function(){initNavTree('d4/d86/large__number_8h_source.html','
 <div class="line"><a id="l00062" name="l00062"></a><span class="lineno">   62</span><span class="comment">    /**</span></div>
 <div class="line"><a id="l00063" name="l00063"></a><span class="lineno">   63</span><span class="comment">     * Function to check implementation</span></div>
 <div class="line"><a id="l00064" name="l00064"></a><span class="lineno">   64</span><span class="comment">     **/</span></div>
+<div class="foldopen" id="foldopen00065" data-start="{" data-end="}">
 <div class="line"><a id="l00065" name="l00065"></a><span class="lineno"><a class="line" href="../../db/d82/classlarge__number.html#a959c5c1a982949bbf98e1ea0f9afe6a9">   65</a></span>    <span class="keyword">static</span> <span class="keywordtype">bool</span> <a class="code hl_function" href="../../db/d82/classlarge__number.html#a959c5c1a982949bbf98e1ea0f9afe6a9">test</a>() {</div>
 <div class="line"><a id="l00066" name="l00066"></a><span class="lineno">   66</span>        <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;------ Checking `large_number` class implementations\t&quot;</span></div>
 <div class="line"><a id="l00067" name="l00067"></a><span class="lineno">   67</span>                  &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
@@ -213,10 +222,12 @@ $(document).ready(function(){initNavTree('d4/d86/large__number_8h_source.html','
 <div class="line"><a id="l00111" name="l00111"></a><span class="lineno">  111</span>        <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;\tPassed 6/6...&quot;</span> &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
 <div class="line"><a id="l00112" name="l00112"></a><span class="lineno">  112</span>        <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
 <div class="line"><a id="l00113" name="l00113"></a><span class="lineno">  113</span>    }</div>
+</div>
 <div class="line"><a id="l00114" name="l00114"></a><span class="lineno">  114</span><span class="comment"></span> </div>
 <div class="line"><a id="l00115" name="l00115"></a><span class="lineno">  115</span><span class="comment">    /**</span></div>
 <div class="line"><a id="l00116" name="l00116"></a><span class="lineno">  116</span><span class="comment">     * add a digit at MSB to the large number</span></div>
 <div class="line"><a id="l00117" name="l00117"></a><span class="lineno">  117</span><span class="comment">     **/</span></div>
+<div class="foldopen" id="foldopen00118" data-start="{" data-end="}">
 <div class="line"><a id="l00118" name="l00118"></a><span class="lineno"><a class="line" href="../../db/d82/classlarge__number.html#a60c436d1a1c5e3795d6177d3815ad615">  118</a></span>    <span class="keywordtype">void</span> <a class="code hl_function" href="../../db/d82/classlarge__number.html#a60c436d1a1c5e3795d6177d3815ad615">add_digit</a>(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> value) {</div>
 <div class="line"><a id="l00119" name="l00119"></a><span class="lineno">  119</span>        <span class="keywordflow">if</span> (value &gt; 9) {</div>
 <div class="line"><a id="l00120" name="l00120"></a><span class="lineno">  120</span>            <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cerr</a> &lt;&lt; <span class="stringliteral">&quot;digit &gt; 9!!\n&quot;</span>;</div>
@@ -225,6 +236,7 @@ $(document).ready(function(){initNavTree('d4/d86/large__number_8h_source.html','
 <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>        <a class="code hl_variable" href="../../db/d82/classlarge__number.html#af2b3ec9c35842d3a46ac7326f268af57">_digits</a>.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/push_back.html">push_back</a>(value);</div>
 <div class="line"><a id="l00125" name="l00125"></a><span class="lineno">  125</span>    }</div>
+</div>
 <div class="line"><a id="l00126" name="l00126"></a><span class="lineno">  126</span><span class="comment"></span> </div>
 <div class="line"><a id="l00127" name="l00127"></a><span class="lineno">  127</span><span class="comment">    /**</span></div>
 <div class="line"><a id="l00128" name="l00128"></a><span class="lineno">  128</span><span class="comment">     * Get number of digits in the number</span></div>
@@ -245,15 +257,18 @@ $(document).ready(function(){initNavTree('d4/d86/large__number_8h_source.html','
 <div class="line"><a id="l00143" name="l00143"></a><span class="lineno">  143</span><span class="comment">    /**</span></div>
 <div class="line"><a id="l00144" name="l00144"></a><span class="lineno">  144</span><span class="comment">     * operator overload to compare two numbers</span></div>
 <div class="line"><a id="l00145" name="l00145"></a><span class="lineno">  145</span><span class="comment">     **/</span></div>
+<div class="foldopen" id="foldopen00146" data-start="{" data-end="};">
 <div class="line"><a id="l00146" name="l00146"></a><span class="lineno"><a class="line" href="../../db/d82/classlarge__number.html#a13282908dfc4888392ed3d1fc6aae492">  146</a></span>    <span class="keyword">friend</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::ostream</a> &amp;<a class="code hl_friend" href="../../db/d82/classlarge__number.html#a13282908dfc4888392ed3d1fc6aae492">operator&lt;&lt;</a>(<a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::ostream</a> &amp;out, <span class="keyword">const</span> <a class="code hl_class" href="../../db/d82/classlarge__number.html">large_number</a> &amp;a) {</div>
 <div class="line"><a id="l00147" name="l00147"></a><span class="lineno">  147</span>        <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = a.num_digits(); i &gt; 0; i--)</div>
 <div class="line"><a id="l00148" name="l00148"></a><span class="lineno">  148</span>            out &lt;&lt; <span class="keyword">static_cast&lt;</span><span class="keywordtype">int</span><span class="keyword">&gt;</span>(a[i - 1]);</div>
 <div class="line"><a id="l00149" name="l00149"></a><span class="lineno">  149</span>        <span class="keywordflow">return</span> out;</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><span class="comment"></span> </div>
 <div class="line"><a id="l00152" name="l00152"></a><span class="lineno">  152</span><span class="comment">    /**</span></div>
 <div class="line"><a id="l00153" name="l00153"></a><span class="lineno">  153</span><span class="comment">     * operator overload to compare two numbers</span></div>
 <div class="line"><a id="l00154" name="l00154"></a><span class="lineno">  154</span><span class="comment">     **/</span></div>
+<div class="foldopen" id="foldopen00155" data-start="{" data-end="};">
 <div class="line"><a id="l00155" name="l00155"></a><span class="lineno"><a class="line" href="../../db/d82/classlarge__number.html#a7ba872b9a3ce1f3da6c06c5409663cca">  155</a></span>    <span class="keyword">friend</span> <span class="keywordtype">bool</span> <a class="code hl_friend" href="../../db/d82/classlarge__number.html#a7ba872b9a3ce1f3da6c06c5409663cca">operator==</a>(<a class="code hl_class" href="../../db/d82/classlarge__number.html">large_number</a> <span class="keyword">const</span> &amp;a, <a class="code hl_class" href="../../db/d82/classlarge__number.html">large_number</a> <span class="keyword">const</span> &amp;b) {</div>
 <div class="line"><a id="l00156" name="l00156"></a><span class="lineno">  156</span>        <span class="keywordtype">size_t</span> N = a.num_digits();</div>
 <div class="line"><a id="l00157" name="l00157"></a><span class="lineno">  157</span>        <span class="keywordflow">if</span> (N != b.<a class="code hl_function" href="../../db/d82/classlarge__number.html#ac09a05ec4aafb4d9e0b4440d6f0e2a93">num_digits</a>())</div>
@@ -263,34 +278,42 @@ $(document).ready(function(){initNavTree('d4/d86/large__number_8h_source.html','
 <div class="line"><a id="l00161" name="l00161"></a><span class="lineno">  161</span>                <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
 <div class="line"><a id="l00162" name="l00162"></a><span class="lineno">  162</span>        <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
 <div class="line"><a id="l00163" name="l00163"></a><span class="lineno">  163</span>    }</div>
+</div>
 <div class="line"><a id="l00164" name="l00164"></a><span class="lineno">  164</span><span class="comment"></span> </div>
 <div class="line"><a id="l00165" name="l00165"></a><span class="lineno">  165</span><span class="comment">    /**</span></div>
 <div class="line"><a id="l00166" name="l00166"></a><span class="lineno">  166</span><span class="comment">     * operator overload to compare two numbers</span></div>
 <div class="line"><a id="l00167" name="l00167"></a><span class="lineno">  167</span><span class="comment">     **/</span></div>
+<div class="foldopen" id="foldopen00168" data-start="{" data-end="};">
 <div class="line"><a id="l00168" name="l00168"></a><span class="lineno"><a class="line" href="../../db/d82/classlarge__number.html#a72ae1ef050c4c28c50952ecab22d4b94">  168</a></span>    <span class="keyword">friend</span> <span class="keywordtype">bool</span> <a class="code hl_friend" href="../../db/d82/classlarge__number.html#a72ae1ef050c4c28c50952ecab22d4b94">operator!=</a>(<a class="code hl_class" href="../../db/d82/classlarge__number.html">large_number</a> <span class="keyword">const</span> &amp;a, <a class="code hl_class" href="../../db/d82/classlarge__number.html">large_number</a> <span class="keyword">const</span> &amp;b) {</div>
 <div class="line"><a id="l00169" name="l00169"></a><span class="lineno">  169</span>        <span class="keywordflow">return</span> !(a == b);</div>
 <div class="line"><a id="l00170" name="l00170"></a><span class="lineno">  170</span>    }</div>
+</div>
 <div class="line"><a id="l00171" name="l00171"></a><span class="lineno">  171</span><span class="comment"></span> </div>
 <div class="line"><a id="l00172" name="l00172"></a><span class="lineno">  172</span><span class="comment">    /**</span></div>
 <div class="line"><a id="l00173" name="l00173"></a><span class="lineno">  173</span><span class="comment">     * operator overload to increment (prefix)</span></div>
 <div class="line"><a id="l00174" name="l00174"></a><span class="lineno">  174</span><span class="comment">     **/</span></div>
+<div class="foldopen" id="foldopen00175" data-start="{" data-end="}">
 <div class="line"><a id="l00175" name="l00175"></a><span class="lineno"><a class="line" href="../../db/d82/classlarge__number.html#a4757697b1f7584b69e779a72abc4ae2a">  175</a></span>    <a class="code hl_class" href="../../db/d82/classlarge__number.html">large_number</a> &amp;<a class="code hl_function" href="../../db/d82/classlarge__number.html#a4757697b1f7584b69e779a72abc4ae2a">operator++</a>() {</div>
 <div class="line"><a id="l00176" name="l00176"></a><span class="lineno">  176</span>        (*this) += 1;</div>
 <div class="line"><a id="l00177" name="l00177"></a><span class="lineno">  177</span>        <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
 <div class="line"><a id="l00178" name="l00178"></a><span class="lineno">  178</span>    }</div>
+</div>
 <div class="line"><a id="l00179" name="l00179"></a><span class="lineno">  179</span><span class="comment"></span> </div>
 <div class="line"><a id="l00180" name="l00180"></a><span class="lineno">  180</span><span class="comment">    /**</span></div>
 <div class="line"><a id="l00181" name="l00181"></a><span class="lineno">  181</span><span class="comment">     * operator overload to increment (postfix)</span></div>
 <div class="line"><a id="l00182" name="l00182"></a><span class="lineno">  182</span><span class="comment">     **/</span></div>
+<div class="foldopen" id="foldopen00183" data-start="{" data-end="}">
 <div class="line"><a id="l00183" name="l00183"></a><span class="lineno"><a class="line" href="../../db/d82/classlarge__number.html#a8d4364ee5a62964451d8cfee82649687">  183</a></span>    <a class="code hl_class" href="../../db/d82/classlarge__number.html">large_number</a> &amp;<a class="code hl_function" href="../../db/d82/classlarge__number.html#a8d4364ee5a62964451d8cfee82649687">operator++</a>(<span class="keywordtype">int</span>) {</div>
 <div class="line"><a id="l00184" name="l00184"></a><span class="lineno">  184</span>        <span class="keyword">static</span> <a class="code hl_class" href="../../db/d82/classlarge__number.html">large_number</a> tmp(<a class="code hl_variable" href="../../db/d82/classlarge__number.html#af2b3ec9c35842d3a46ac7326f268af57">_digits</a>);</div>
 <div class="line"><a id="l00185" name="l00185"></a><span class="lineno">  185</span>        ++(*this);</div>
 <div class="line"><a id="l00186" name="l00186"></a><span class="lineno">  186</span>        <span class="keywordflow">return</span> tmp;</div>
 <div class="line"><a id="l00187" name="l00187"></a><span class="lineno">  187</span>    }</div>
+</div>
 <div class="line"><a id="l00188" name="l00188"></a><span class="lineno">  188</span><span class="comment"></span> </div>
 <div class="line"><a id="l00189" name="l00189"></a><span class="lineno">  189</span><span class="comment">    /**</span></div>
 <div class="line"><a id="l00190" name="l00190"></a><span class="lineno">  190</span><span class="comment">     * operator overload to add</span></div>
 <div class="line"><a id="l00191" name="l00191"></a><span class="lineno">  191</span><span class="comment">     **/</span></div>
+<div class="foldopen" id="foldopen00192" data-start="{" data-end="}">
 <div class="line"><a id="l00192" name="l00192"></a><span class="lineno"><a class="line" href="../../db/d82/classlarge__number.html#aab5644405094740e34983cedfecb36cf">  192</a></span>    <a class="code hl_class" href="../../db/d82/classlarge__number.html">large_number</a> &amp;<a class="code hl_function" href="../../db/d82/classlarge__number.html#aab5644405094740e34983cedfecb36cf">operator+=</a>(<a class="code hl_class" href="../../db/d82/classlarge__number.html">large_number</a> n) {</div>
 <div class="line"><a id="l00193" name="l00193"></a><span class="lineno">  193</span>        <span class="comment">// if adding with another large_number</span></div>
 <div class="line"><a id="l00194" name="l00194"></a><span class="lineno">  194</span>        <a class="code hl_class" href="../../db/d82/classlarge__number.html">large_number</a> *b = <span class="keyword">reinterpret_cast&lt;</span><a class="code hl_class" href="../../db/d82/classlarge__number.html">large_number</a> *<span class="keyword">&gt;</span>(&amp;n);</div>
@@ -310,6 +333,7 @@ $(document).ready(function(){initNavTree('d4/d86/large__number_8h_source.html','
 <div class="line"><a id="l00208" name="l00208"></a><span class="lineno">  208</span>        }</div>
 <div class="line"><a id="l00209" name="l00209"></a><span class="lineno">  209</span>        <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
 <div class="line"><a id="l00210" name="l00210"></a><span class="lineno">  210</span>    }</div>
+</div>
 <div class="line"><a id="l00211" name="l00211"></a><span class="lineno">  211</span> </div>
 <div class="line"><a id="l00212" name="l00212"></a><span class="lineno">  212</span>    <a class="code hl_class" href="../../db/d82/classlarge__number.html">large_number</a> &amp;<a class="code hl_function" href="../../db/d82/classlarge__number.html#aab5644405094740e34983cedfecb36cf">operator+=</a>(<span class="keywordtype">int</span> n) { <span class="keywordflow">return</span> (*<span class="keyword">this</span>) += <a class="code hl_function" href="../../db/d82/classlarge__number.html#a10119a83839e65962621b73df46a5337">large_number</a>(n); }</div>
 <div class="line"><a id="l00213" name="l00213"></a><span class="lineno">  213</span>    <span class="comment">// large_number &amp;operator+=(uint64_t n) { return (*this) += large_number(n);</span></div>
@@ -319,37 +343,45 @@ $(document).ready(function(){initNavTree('d4/d86/large__number_8h_source.html','
 <div class="line"><a id="l00217" name="l00217"></a><span class="lineno">  217</span><span class="comment">     * operator overload to perform addition</span></div>
 <div class="line"><a id="l00218" name="l00218"></a><span class="lineno">  218</span><span class="comment">     **/</span></div>
 <div class="line"><a id="l00219" name="l00219"></a><span class="lineno">  219</span>    <span class="keyword">template</span> &lt;<span class="keyword">class</span> T&gt;</div>
+<div class="foldopen" id="foldopen00220" data-start="{" data-end="};">
 <div class="line"><a id="l00220" name="l00220"></a><span class="lineno"><a class="line" href="../../db/d82/classlarge__number.html#abbd52948bee1b16543f1dae19aa9dd46">  220</a></span>    <span class="keyword">friend</span> <a class="code hl_class" href="../../db/d82/classlarge__number.html">large_number</a> &amp;<a class="code hl_friend" href="../../db/d82/classlarge__number.html#abbd52948bee1b16543f1dae19aa9dd46">operator+</a>(<span class="keyword">const</span> <a class="code hl_class" href="../../db/d82/classlarge__number.html">large_number</a> &amp;a, <span class="keyword">const</span> T &amp;b) {</div>
 <div class="line"><a id="l00221" name="l00221"></a><span class="lineno">  221</span>        <span class="keyword">static</span> <a class="code hl_class" href="../../db/d82/classlarge__number.html">large_number</a> c = a;</div>
 <div class="line"><a id="l00222" name="l00222"></a><span class="lineno">  222</span>        c += b;</div>
 <div class="line"><a id="l00223" name="l00223"></a><span class="lineno">  223</span>        <span class="keywordflow">return</span> c;</div>
 <div class="line"><a id="l00224" name="l00224"></a><span class="lineno">  224</span>    }</div>
+</div>
 <div class="line"><a id="l00225" name="l00225"></a><span class="lineno">  225</span><span class="comment"></span> </div>
 <div class="line"><a id="l00226" name="l00226"></a><span class="lineno">  226</span><span class="comment">    /**</span></div>
 <div class="line"><a id="l00227" name="l00227"></a><span class="lineno">  227</span><span class="comment">     * assignment operator</span></div>
 <div class="line"><a id="l00228" name="l00228"></a><span class="lineno">  228</span><span class="comment">     **/</span></div>
+<div class="foldopen" id="foldopen00229" data-start="{" data-end="}">
 <div class="line"><a id="l00229" name="l00229"></a><span class="lineno"><a class="line" href="../../db/d82/classlarge__number.html#ab84f29685709cbb3b6fd29b7b4a7bc7b">  229</a></span>    <a class="code hl_class" href="../../db/d82/classlarge__number.html">large_number</a> &amp;<a class="code hl_function" href="../../db/d82/classlarge__number.html#ab84f29685709cbb3b6fd29b7b4a7bc7b">operator=</a>(<span class="keyword">const</span> <a class="code hl_class" href="../../db/d82/classlarge__number.html">large_number</a> &amp;b) {</div>
 <div class="line"><a id="l00230" name="l00230"></a><span class="lineno">  230</span>        this-&gt;<a class="code hl_variable" href="../../db/d82/classlarge__number.html#af2b3ec9c35842d3a46ac7326f268af57">_digits</a> = b.<a class="code hl_variable" href="../../db/d82/classlarge__number.html#af2b3ec9c35842d3a46ac7326f268af57">_digits</a>;</div>
 <div class="line"><a id="l00231" name="l00231"></a><span class="lineno">  231</span>        <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
 <div class="line"><a id="l00232" name="l00232"></a><span class="lineno">  232</span>    }</div>
+</div>
 <div class="line"><a id="l00233" name="l00233"></a><span class="lineno">  233</span><span class="comment"></span> </div>
 <div class="line"><a id="l00234" name="l00234"></a><span class="lineno">  234</span><span class="comment">    /**</span></div>
 <div class="line"><a id="l00235" name="l00235"></a><span class="lineno">  235</span><span class="comment">     * operator overload to increment</span></div>
 <div class="line"><a id="l00236" name="l00236"></a><span class="lineno">  236</span><span class="comment">     **/</span></div>
 <div class="line"><a id="l00237" name="l00237"></a><span class="lineno">  237</span>    <span class="keyword">template</span> &lt;<span class="keyword">class</span> T&gt;</div>
+<div class="foldopen" id="foldopen00238" data-start="{" data-end="}">
 <div class="line"><a id="l00238" name="l00238"></a><span class="lineno"><a class="line" href="../../db/d82/classlarge__number.html#a771e9b28cfddf1ad94668566e396e350">  238</a></span>    <a class="code hl_class" href="../../db/d82/classlarge__number.html">large_number</a> &amp;<a class="code hl_function" href="../../db/d82/classlarge__number.html#a771e9b28cfddf1ad94668566e396e350">operator*=</a>(<span class="keyword">const</span> T n) {</div>
 <div class="line"><a id="l00239" name="l00239"></a><span class="lineno">  239</span>        <span class="keyword">static_assert</span>(<a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/types/is_integral.html">std::is_integral&lt;T&gt;::value</a>,</div>
 <div class="line"><a id="l00240" name="l00240"></a><span class="lineno">  240</span>                      <span class="stringliteral">&quot;Must be integer addition unsigned integer types.&quot;</span>);</div>
 <div class="line"><a id="l00241" name="l00241"></a><span class="lineno">  241</span>        this-&gt;<a class="code hl_function" href="../../db/d82/classlarge__number.html#a2f5571e66305cf68bb8283e4aeda58bc">multiply</a>(n);</div>
 <div class="line"><a id="l00242" name="l00242"></a><span class="lineno">  242</span>        <span class="keywordflow">return</span> *<span class="keyword">this</span>;</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><span class="comment"></span> </div>
 <div class="line"><a id="l00245" name="l00245"></a><span class="lineno">  245</span><span class="comment">    /**</span></div>
 <div class="line"><a id="l00246" name="l00246"></a><span class="lineno">  246</span><span class="comment">     * returns i^th digit as an ASCII character</span></div>
 <div class="line"><a id="l00247" name="l00247"></a><span class="lineno">  247</span><span class="comment">     **/</span></div>
+<div class="foldopen" id="foldopen00248" data-start="{" data-end="}">
 <div class="line"><a id="l00248" name="l00248"></a><span class="lineno"><a class="line" href="../../db/d82/classlarge__number.html#ae35a55607cf52c0b0d485f2129bd39ac">  248</a></span>    <span class="keywordtype">char</span> <a class="code hl_function" href="../../db/d82/classlarge__number.html#ae35a55607cf52c0b0d485f2129bd39ac">digit_char</a>(<span class="keywordtype">size_t</span> i)<span class="keyword"> const </span>{</div>
 <div class="line"><a id="l00249" name="l00249"></a><span class="lineno">  249</span>        <span class="keywordflow">return</span> <a class="code hl_variable" href="../../db/d82/classlarge__number.html#af2b3ec9c35842d3a46ac7326f268af57">_digits</a>[<a class="code hl_function" href="../../db/d82/classlarge__number.html#ac09a05ec4aafb4d9e0b4440d6f0e2a93">num_digits</a>() - i - 1] + <span class="charliteral">&#39;0&#39;</span>;</div>
 <div class="line"><a id="l00250" name="l00250"></a><span class="lineno">  250</span>    }</div>
+</div>
 <div class="line"><a id="l00251" name="l00251"></a><span class="lineno">  251</span> </div>
 <div class="line"><a id="l00252" name="l00252"></a><span class="lineno">  252</span> <span class="keyword">private</span>:<span class="comment"></span></div>
 <div class="line"><a id="l00253" name="l00253"></a><span class="lineno">  253</span><span class="comment">    /**</span></div>
@@ -357,6 +389,7 @@ $(document).ready(function(){initNavTree('d4/d86/large__number_8h_source.html','
 <div class="line"><a id="l00255" name="l00255"></a><span class="lineno">  255</span><span class="comment">     * store the result in the same large number</span></div>
 <div class="line"><a id="l00256" name="l00256"></a><span class="lineno">  256</span><span class="comment">     **/</span></div>
 <div class="line"><a id="l00257" name="l00257"></a><span class="lineno">  257</span>    <span class="keyword">template</span> &lt;<span class="keyword">class</span> T&gt;</div>
+<div class="foldopen" id="foldopen00258" data-start="{" data-end="}">
 <div class="line"><a id="l00258" name="l00258"></a><span class="lineno"><a class="line" href="../../db/d82/classlarge__number.html#a2f5571e66305cf68bb8283e4aeda58bc">  258</a></span>    <span class="keywordtype">void</span> <a class="code hl_function" href="../../db/d82/classlarge__number.html#a2f5571e66305cf68bb8283e4aeda58bc">multiply</a>(<span class="keyword">const</span> T n) {</div>
 <div class="line"><a id="l00259" name="l00259"></a><span class="lineno">  259</span>        <span class="keyword">static_assert</span>(<a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/types/is_integral.html">std::is_integral&lt;T&gt;::value</a>,</div>
 <div class="line"><a id="l00260" name="l00260"></a><span class="lineno">  260</span>                      <span class="stringliteral">&quot;Can only have integer types.&quot;</span>);</div>
@@ -382,12 +415,16 @@ $(document).ready(function(){initNavTree('d4/d86/large__number_8h_source.html','
 <div class="line"><a id="l00280" name="l00280"></a><span class="lineno">  280</span>            carry /= 10;</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>
 <div class="line"><a id="l00283" name="l00283"></a><span class="lineno">  283</span> </div>
 <div class="line"><a id="l00284" name="l00284"></a><span class="lineno">  284</span>    <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;unsigned char&gt;</a></div>
 <div class="line"><a id="l00285" name="l00285"></a><span class="lineno"><a class="line" href="../../db/d82/classlarge__number.html#af2b3ec9c35842d3a46ac7326f268af57">  285</a></span>        <a class="code hl_variable" href="../../db/d82/classlarge__number.html#af2b3ec9c35842d3a46ac7326f268af57">_digits</a>; <span class="comment">/**&lt; where individual digits are stored */</span></div>
 <div class="line"><a id="l00286" name="l00286"></a><span class="lineno">  286</span>};</div>
 <div class="line"><a id="l00287" name="l00287"></a><span class="lineno">  287</span> </div>
 <div class="line"><a id="l00288" name="l00288"></a><span class="lineno">  288</span><span class="preprocessor">#endif  </span><span class="comment">// MATH_LARGE_NUMBER_H_</span></div>
+</div>
+</div>
+</div>
 <div class="ttc" id="abasic_ostream_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a></div></div>
 <div class="ttc" id="aclasslarge__number_html"><div class="ttname"><a href="../../db/d82/classlarge__number.html">large_number</a></div><div class="ttdef"><b>Definition</b> large_number.h:24</div></div>
 <div class="ttc" id="aclasslarge__number_html_a0b1efd203274e38a67b78937dfb9b872"><div class="ttname"><a href="../../db/d82/classlarge__number.html#a0b1efd203274e38a67b78937dfb9b872">large_number::large_number</a></div><div class="ttdeci">large_number(const large_number &amp;a)</div><div class="ttdef"><b>Definition</b> large_number.h:48</div></div>
@@ -422,7 +459,7 @@ $(document).ready(function(){initNavTree('d4/d86/large__number_8h_source.html','
 <div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
  <ul>
    <li class="navelem"><a class="el" href="../../dir_296d53ceaeaa7e099814a6def439fe8a.html">math</a></li><li class="navelem"><a class="el" href="../../d4/d86/large__number_8h.html">large_number.h</a></li>
-    <li class="footer">Generated by <a href="https://www.doxygen.org/index.html"><img class="footer" src="../../doxygen.svg" width="104" height="31" alt="doxygen"/></a> 1.9.7 </li>
+    <li class="footer">Generated by <a href="https://www.doxygen.org/index.html"><img class="footer" src="../../doxygen.svg" width="104" height="31" alt="doxygen"/></a> 1.9.8 </li>
  </ul>
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