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<div id="projectbrief">Set of algorithms implemented in C++.</div>
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<a href="#pub-methods">Public Member Functions</a> &#124;
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<p><code>#include &lt;<a class="el" href="../../d4/d86/large__number_8h_source.html">large_number.h</a>&gt;</code></p>
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Public Member Functions</h2></td></tr>
<tr class="memitem:a10119a83839e65962621b73df46a5337"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../db/d82/classlarge__number.html#a10119a83839e65962621b73df46a5337">large_number</a> ()</td></tr>
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<tr class="memitem:a76ddf1ed1b00fb8c107ea56f7f91e42f"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../db/d82/classlarge__number.html#a76ddf1ed1b00fb8c107ea56f7f91e42f">large_number</a> (<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; unsigned char &gt; &amp;vec)</td></tr>
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<tr class="memitem:adf804e60309bf016f7954fdcb0a4d103"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../db/d82/classlarge__number.html#adf804e60309bf016f7954fdcb0a4d103">large_number</a> (char const *number_str)</td></tr>
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<tr class="memitem:a60c436d1a1c5e3795d6177d3815ad615"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../db/d82/classlarge__number.html#a60c436d1a1c5e3795d6177d3815ad615">add_digit</a> (unsigned int value)</td></tr>
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<tr class="memitem:ac09a05ec4aafb4d9e0b4440d6f0e2a93"><td class="memItemLeft" align="right" valign="top">size_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../db/d82/classlarge__number.html#ac09a05ec4aafb4d9e0b4440d6f0e2a93">num_digits</a> () const</td></tr>
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<tr class="memitem:a8c381aa1ecc960cefd82ec72f59e0e08"><td class="memItemLeft" align="right" valign="top">unsigned char &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../db/d82/classlarge__number.html#a8c381aa1ecc960cefd82ec72f59e0e08">operator[]</a> (size_t n)</td></tr>
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<tr class="memitem:a149f2299bd8b9b57361cc3ea95558990"><td class="memItemLeft" align="right" valign="top">const unsigned char &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../db/d82/classlarge__number.html#a149f2299bd8b9b57361cc3ea95558990">operator[]</a> (size_t n) const</td></tr>
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<tr class="memitem:a4757697b1f7584b69e779a72abc4ae2a"><td class="memItemLeft" align="right" valign="top"><a class="el" href="../../db/d82/classlarge__number.html">large_number</a> &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../db/d82/classlarge__number.html#a4757697b1f7584b69e779a72abc4ae2a">operator++</a> ()</td></tr>
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<tr class="memitem:a771e9b28cfddf1ad94668566e396e350"><td class="memTemplParams" colspan="2">template&lt;class T &gt; </td></tr>
<tr class="memitem:a771e9b28cfddf1ad94668566e396e350"><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="../../db/d82/classlarge__number.html">large_number</a> &amp;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../db/d82/classlarge__number.html#a771e9b28cfddf1ad94668566e396e350">operator*=</a> (const T n)</td></tr>
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<tr class="memitem:ae35a55607cf52c0b0d485f2129bd39ac"><td class="memItemLeft" align="right" valign="top">char&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../db/d82/classlarge__number.html#ae35a55607cf52c0b0d485f2129bd39ac">digit_char</a> (size_t i) const</td></tr>
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Static Public Member Functions</h2></td></tr>
<tr class="memitem:a959c5c1a982949bbf98e1ea0f9afe6a9"><td class="memItemLeft" align="right" valign="top">static bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../db/d82/classlarge__number.html#a959c5c1a982949bbf98e1ea0f9afe6a9">test</a> ()</td></tr>
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Private Member Functions</h2></td></tr>
<tr class="memitem:a2f5571e66305cf68bb8283e4aeda58bc"><td class="memTemplParams" colspan="2">template&lt;class T &gt; </td></tr>
<tr class="memitem:a2f5571e66305cf68bb8283e4aeda58bc"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../db/d82/classlarge__number.html#a2f5571e66305cf68bb8283e4aeda58bc">multiply</a> (const T n)</td></tr>
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Private Attributes</h2></td></tr>
<tr class="memitem:af2b3ec9c35842d3a46ac7326f268af57"><td class="memItemLeft" align="right" valign="top"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; unsigned char &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../db/d82/classlarge__number.html#af2b3ec9c35842d3a46ac7326f268af57">_digits</a></td></tr>
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Friends</h2></td></tr>
<tr class="memitem:a13282908dfc4888392ed3d1fc6aae492"><td class="memItemLeft" align="right" valign="top"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::ostream</a> &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../db/d82/classlarge__number.html#a13282908dfc4888392ed3d1fc6aae492">operator&lt;&lt;</a> (<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::ostream</a> &amp;out, const <a class="el" href="../../db/d82/classlarge__number.html">large_number</a> &amp;a)</td></tr>
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<tr class="memitem:a7ba872b9a3ce1f3da6c06c5409663cca"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../db/d82/classlarge__number.html#a7ba872b9a3ce1f3da6c06c5409663cca">operator==</a> (<a class="el" href="../../db/d82/classlarge__number.html">large_number</a> const &amp;a, <a class="el" href="../../db/d82/classlarge__number.html">large_number</a> const &amp;b)</td></tr>
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<tr class="memitem:a72ae1ef050c4c28c50952ecab22d4b94"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../db/d82/classlarge__number.html#a72ae1ef050c4c28c50952ecab22d4b94">operator!=</a> (<a class="el" href="../../db/d82/classlarge__number.html">large_number</a> const &amp;a, <a class="el" href="../../db/d82/classlarge__number.html">large_number</a> const &amp;b)</td></tr>
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<tr class="memitem:abbd52948bee1b16543f1dae19aa9dd46"><td class="memTemplParams" colspan="2">template&lt;class T &gt; </td></tr>
<tr class="memitem:abbd52948bee1b16543f1dae19aa9dd46"><td class="memTemplItemLeft" align="right" valign="top"><a class="el" href="../../db/d82/classlarge__number.html">large_number</a> &amp;&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../db/d82/classlarge__number.html#abbd52948bee1b16543f1dae19aa9dd46">operator+</a> (const <a class="el" href="../../db/d82/classlarge__number.html">large_number</a> &amp;a, const T &amp;b)</td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p >Store large unsigned numbers as a C++ vector The class provides convenience functions to add a digit to the number, perform multiplication of large number with long unsigned integers. </p>
</div><h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
<a id="a10119a83839e65962621b73df46a5337" name="a10119a83839e65962621b73df46a5337"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a10119a83839e65962621b73df46a5337">&#9670;&nbsp;</a></span>large_number() <span class="overload">[1/5]</span></h2>
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<td class="memname">large_number::large_number </td>
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<p >&lt; initializer with value = 1 </p>
<div class="fragment"><div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span>{ <a class="code hl_variable" href="../../db/d82/classlarge__number.html#af2b3ec9c35842d3a46ac7326f268af57">_digits</a>.push_back(1); }</div>
<div class="ttc" id="aclasslarge__number_html_af2b3ec9c35842d3a46ac7326f268af57"><div class="ttname"><a href="../../db/d82/classlarge__number.html#af2b3ec9c35842d3a46ac7326f268af57">large_number::_digits</a></div><div class="ttdeci">std::vector&lt; unsigned char &gt; _digits</div><div class="ttdef"><b>Definition:</b> large_number.h:285</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#af4598f1f2794b5e17e10c25e0501e41a">&#9670;&nbsp;</a></span>large_number() <span class="overload">[2/5]</span></h2>
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<td class="memname">large_number::large_number </td>
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<td class="paramname"><em>n</em></td><td>)</td>
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<p >&lt; initializer from an integer initializer from another <a class="el" href="../../db/d82/classlarge__number.html">large_number</a> </p>
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Here is the call graph for this function:</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a0b1efd203274e38a67b78937dfb9b872">&#9670;&nbsp;</a></span>large_number() <span class="overload">[3/5]</span></h2>
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<td class="memname">large_number::large_number </td>
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<td class="paramtype">const <a class="el" href="../../db/d82/classlarge__number.html">large_number</a> &amp;&#160;</td>
<td class="paramname"><em>a</em></td><td>)</td>
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<p >initializer from a vector </p>
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<td class="paramtype"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; unsigned char &gt; &amp;&#160;</td>
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<p >initializer from a string </p>
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<td class="memname">large_number::large_number </td>
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<td class="paramtype">char const *&#160;</td>
<td class="paramname"><em>number_str</em></td><td>)</td>
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<div class="fragment"><div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span> {</div>
<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/byte/strlen.html">strlen</a>(number_str); i &gt; 0; i--) {</div>
<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> <span class="keywordtype">char</span> a = number_str[i - 1] - <span class="charliteral">&#39;0&#39;</span>;</div>
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> <span class="keywordflow">if</span> (a &gt;= 0 &amp;&amp; a &lt;= 9)</div>
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> <a class="code hl_variable" href="../../db/d82/classlarge__number.html#af2b3ec9c35842d3a46ac7326f268af57">_digits</a>.push_back(a);</div>
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> }</div>
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span> }</div>
<div class="ttc" id="astrlen_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/string/byte/strlen.html">std::strlen</a></div><div class="ttdeci">T strlen(T... args)</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#a60c436d1a1c5e3795d6177d3815ad615">&#9670;&nbsp;</a></span>add_digit()</h2>
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<td class="memname">void large_number::add_digit </td>
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<td class="paramtype">unsigned int&#160;</td>
<td class="paramname"><em>value</em></td><td>)</td>
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<p >add a digit at MSB to the large number </p>
<div class="fragment"><div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span> {</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>
<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</span> <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/utility/program/exit.html">exit</a>(EXIT_FAILURE);</div>
<div class="line"><a id="l00122" name="l00122"></a><span class="lineno"> 122</span> }</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> <a class="code hl_variable" href="../../db/d82/classlarge__number.html#af2b3ec9c35842d3a46ac7326f268af57">_digits</a>.push_back(value);</div>
<div class="line"><a id="l00125" name="l00125"></a><span class="lineno"> 125</span> }</div>
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<h2 class="memtitle"><span class="permalink"><a href="#ae35a55607cf52c0b0d485f2129bd39ac">&#9670;&nbsp;</a></span>digit_char()</h2>
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<td class="memname">char large_number::digit_char </td>
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<td class="paramtype">size_t&#160;</td>
<td class="paramname"><em>i</em></td><td>)</td>
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<p >returns i^th digit as an ASCII character </p>
<div class="fragment"><div class="line"><a id="l00248" name="l00248"></a><span class="lineno"> 248</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 class="ttc" id="aclasslarge__number_html_ac09a05ec4aafb4d9e0b4440d6f0e2a93"><div class="ttname"><a href="../../db/d82/classlarge__number.html#ac09a05ec4aafb4d9e0b4440d6f0e2a93">large_number::num_digits</a></div><div class="ttdeci">size_t num_digits() const</div><div class="ttdef"><b>Definition:</b> large_number.h:130</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#a2f5571e66305cf68bb8283e4aeda58bc">&#9670;&nbsp;</a></span>multiply()</h2>
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<td class="paramtype">const T&#160;</td>
<td class="paramname"><em>n</em></td><td>)</td>
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<p >multiply large number with another integer and store the result in the same large number </p>
<div class="fragment"><div class="line"><a id="l00258" name="l00258"></a><span class="lineno"> 258</span> {</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>
<div class="line"><a id="l00261" name="l00261"></a><span class="lineno"> 261</span> <span class="comment">// assert(!(std::is_signed&lt;T&gt;::value)); //, &quot;Implemented only for</span></div>
<div class="line"><a id="l00262" name="l00262"></a><span class="lineno"> 262</span> <span class="comment">// unsigned integer types.&quot;);</span></div>
<div class="line"><a id="l00263" name="l00263"></a><span class="lineno"> 263</span> </div>
<div class="line"><a id="l00264" name="l00264"></a><span class="lineno"> 264</span> <span class="keywordtype">size_t</span> i;</div>
<div class="line"><a id="l00265" name="l00265"></a><span class="lineno"> 265</span> uint64_t carry = 0, temp;</div>
<div class="line"><a id="l00266" name="l00266"></a><span class="lineno"> 266</span> <span class="keywordflow">for</span> (i = 0; i &lt; this-&gt;<a class="code hl_function" href="../../db/d82/classlarge__number.html#ac09a05ec4aafb4d9e0b4440d6f0e2a93">num_digits</a>(); i++) {</div>
<div class="line"><a id="l00267" name="l00267"></a><span class="lineno"> 267</span> temp = <span class="keyword">static_cast&lt;</span>uint64_t<span class="keyword">&gt;</span>((*this)[i]) * n;</div>
<div class="line"><a id="l00268" name="l00268"></a><span class="lineno"> 268</span> temp += carry;</div>
<div class="line"><a id="l00269" name="l00269"></a><span class="lineno"> 269</span> <span class="keywordflow">if</span> (temp &lt; 10) {</div>
<div class="line"><a id="l00270" name="l00270"></a><span class="lineno"> 270</span> carry = 0;</div>
<div class="line"><a id="l00271" name="l00271"></a><span class="lineno"> 271</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00272" name="l00272"></a><span class="lineno"> 272</span> carry = temp / 10;</div>
<div class="line"><a id="l00273" name="l00273"></a><span class="lineno"> 273</span> temp = temp % 10;</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> (*this)[i] = temp;</div>
<div class="line"><a id="l00276" name="l00276"></a><span class="lineno"> 276</span> }</div>
<div class="line"><a id="l00277" name="l00277"></a><span class="lineno"> 277</span> </div>
<div class="line"><a id="l00278" name="l00278"></a><span class="lineno"> 278</span> <span class="keywordflow">while</span> (carry != 0) {</div>
<div class="line"><a id="l00279" name="l00279"></a><span class="lineno"> 279</span> this-&gt;<a class="code hl_function" href="../../db/d82/classlarge__number.html#a60c436d1a1c5e3795d6177d3815ad615">add_digit</a>(carry % 10);</div>
<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>
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<h2 class="memtitle"><span class="permalink"><a href="#ac09a05ec4aafb4d9e0b4440d6f0e2a93">&#9670;&nbsp;</a></span>num_digits()</h2>
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<p >Get number of digits in the number </p>
<div class="fragment"><div class="line"><a id="l00130" name="l00130"></a><span class="lineno"> 130</span>{ <span class="keywordflow">return</span> <a class="code hl_variable" href="../../db/d82/classlarge__number.html#af2b3ec9c35842d3a46ac7326f268af57">_digits</a>.size(); }</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a771e9b28cfddf1ad94668566e396e350">&#9670;&nbsp;</a></span>operator*=()</h2>
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<p >operator overload to increment </p>
<div class="fragment"><div class="line"><a id="l00238" name="l00238"></a><span class="lineno"> 238</span> {</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 class="ttc" id="aclasslarge__number_html_a2f5571e66305cf68bb8283e4aeda58bc"><div class="ttname"><a href="../../db/d82/classlarge__number.html#a2f5571e66305cf68bb8283e4aeda58bc">large_number::multiply</a></div><div class="ttdeci">void multiply(const T n)</div><div class="ttdef"><b>Definition:</b> large_number.h:258</div></div>
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<p >operator overload to increment (prefix) </p>
<div class="fragment"><div class="line"><a id="l00175" name="l00175"></a><span class="lineno"> 175</span> {</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>
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<p >operator overload to increment (postfix) </p>
<div class="fragment"><div class="line"><a id="l00183" name="l00183"></a><span class="lineno"> 183</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 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>
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<div class="fragment"><div class="line"><a id="l00212" name="l00212"></a><span class="lineno"> 212</span>{ <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>
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<h2 class="memtitle"><span class="permalink"><a href="#aab5644405094740e34983cedfecb36cf">&#9670;&nbsp;</a></span>operator+=() <span class="overload">[2/2]</span></h2>
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<td class="memname"><a class="el" href="../../db/d82/classlarge__number.html">large_number</a> &amp; large_number::operator+= </td>
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<p >operator overload to add </p>
<div class="fragment"><div class="line"><a id="l00192" name="l00192"></a><span class="lineno"> 192</span> {</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>
<div class="line"><a id="l00195" name="l00195"></a><span class="lineno"> 195</span> <span class="keyword">const</span> <span class="keywordtype">size_t</span> max_L = <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/max.html">std::max</a>(this-&gt;<a class="code hl_function" href="../../db/d82/classlarge__number.html#ac09a05ec4aafb4d9e0b4440d6f0e2a93">num_digits</a>(), b-&gt;<a class="code hl_function" href="../../db/d82/classlarge__number.html#ac09a05ec4aafb4d9e0b4440d6f0e2a93">num_digits</a>());</div>
<div class="line"><a id="l00196" name="l00196"></a><span class="lineno"> 196</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> carry = 0;</div>
<div class="line"><a id="l00197" name="l00197"></a><span class="lineno"> 197</span> <span class="keywordtype">size_t</span> i;</div>
<div class="line"><a id="l00198" name="l00198"></a><span class="lineno"> 198</span> <span class="keywordflow">for</span> (i = 0; i &lt; max_L || carry != 0; i++) {</div>
<div class="line"><a id="l00199" name="l00199"></a><span class="lineno"> 199</span> <span class="keywordflow">if</span> (i &lt; b-&gt;<a class="code hl_function" href="../../db/d82/classlarge__number.html#ac09a05ec4aafb4d9e0b4440d6f0e2a93">num_digits</a>())</div>
<div class="line"><a id="l00200" name="l00200"></a><span class="lineno"> 200</span> carry += (*b)[i];</div>
<div class="line"><a id="l00201" name="l00201"></a><span class="lineno"> 201</span> <span class="keywordflow">if</span> (i &lt; this-&gt;<a class="code hl_function" href="../../db/d82/classlarge__number.html#ac09a05ec4aafb4d9e0b4440d6f0e2a93">num_digits</a>())</div>
<div class="line"><a id="l00202" name="l00202"></a><span class="lineno"> 202</span> carry += (*this)[i];</div>
<div class="line"><a id="l00203" name="l00203"></a><span class="lineno"> 203</span> <span class="keywordflow">if</span> (i &lt; this-&gt;<a class="code hl_function" href="../../db/d82/classlarge__number.html#ac09a05ec4aafb4d9e0b4440d6f0e2a93">num_digits</a>())</div>
<div class="line"><a id="l00204" name="l00204"></a><span class="lineno"> 204</span> (*this)[i] = carry % 10;</div>
<div class="line"><a id="l00205" name="l00205"></a><span class="lineno"> 205</span> <span class="keywordflow">else</span></div>
<div class="line"><a id="l00206" name="l00206"></a><span class="lineno"> 206</span> this-&gt;<a class="code hl_function" href="../../db/d82/classlarge__number.html#a60c436d1a1c5e3795d6177d3815ad615">add_digit</a>(carry % 10);</div>
<div class="line"><a id="l00207" name="l00207"></a><span class="lineno"> 207</span> carry /= 10;</div>
<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 class="ttc" id="amax_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/algorithm/max.html">std::max</a></div><div class="ttdeci">T max(T... args)</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#ab84f29685709cbb3b6fd29b7b4a7bc7b">&#9670;&nbsp;</a></span>operator=()</h2>
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<td class="memname"><a class="el" href="../../db/d82/classlarge__number.html">large_number</a> &amp; large_number::operator= </td>
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<p >assignment operator </p>
<div class="fragment"><div class="line"><a id="l00229" name="l00229"></a><span class="lineno"> 229</span> {</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>
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<h2 class="memtitle"><span class="permalink"><a href="#a8c381aa1ecc960cefd82ec72f59e0e08">&#9670;&nbsp;</a></span>operator[]() <span class="overload">[1/2]</span></h2>
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<td class="memname">unsigned char &amp; large_number::operator[] </td>
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<td class="paramname"><em>n</em></td><td>)</td>
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<p >operator over load to access the i^th digit conveniently and also assign value to it </p>
<div class="fragment"><div class="line"><a id="l00137" name="l00137"></a><span class="lineno"> 137</span>{ <span class="keywordflow">return</span> this-&gt;<a class="code hl_variable" href="../../db/d82/classlarge__number.html#af2b3ec9c35842d3a46ac7326f268af57">_digits</a>[n]; }</div>
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<td class="memname">const unsigned char &amp; large_number::operator[] </td>
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<td class="paramname"><em>n</em></td><td>)</td>
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<div class="fragment"><div class="line"><a id="l00139" name="l00139"></a><span class="lineno"> 139</span> {</div>
<div class="line"><a id="l00140" name="l00140"></a><span class="lineno"> 140</span> <span class="keywordflow">return</span> this-&gt;<a class="code hl_variable" href="../../db/d82/classlarge__number.html#af2b3ec9c35842d3a46ac7326f268af57">_digits</a>[n];</div>
<div class="line"><a id="l00141" name="l00141"></a><span class="lineno"> 141</span> }</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a959c5c1a982949bbf98e1ea0f9afe6a9">&#9670;&nbsp;</a></span>test()</h2>
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<td class="memname">static bool large_number::test </td>
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<p >Function to check implementation </p>
<div class="fragment"><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> <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>
<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> <a class="code hl_class" href="../../db/d82/classlarge__number.html">large_number</a> a(40);</div>
<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span> <span class="comment">// 1. test multiplication</span></div>
<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span> a *= 10;</div>
<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span> <span class="keywordflow">if</span> (a != <a class="code hl_function" href="../../db/d82/classlarge__number.html#a10119a83839e65962621b73df46a5337">large_number</a>(400)) {</div>
<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</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;\tFailed 1/6 (&quot;</span> &lt;&lt; a &lt;&lt; <span class="stringliteral">&quot;!=400)&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="l00073" name="l00073"></a><span class="lineno"> 73</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span> }</div>
<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</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 1/6...&quot;</span>;</div>
<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> <span class="comment">// 2. test compound addition with integer</span></div>
<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span> a += 120;</div>
<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span> <span class="keywordflow">if</span> (a != <a class="code hl_function" href="../../db/d82/classlarge__number.html#a10119a83839e65962621b73df46a5337">large_number</a>(520)) {</div>
<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</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;\tFailed 2/6 (&quot;</span> &lt;&lt; a &lt;&lt; <span class="stringliteral">&quot;!=520)&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="l00080" name="l00080"></a><span class="lineno"> 80</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span> }</div>
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;\tPassed 2/6...&quot;</span>;</div>
<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> <span class="comment">// 3. test compound multiplication again</span></div>
<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> a *= 10;</div>
<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span> <span class="keywordflow">if</span> (a != <a class="code hl_function" href="../../db/d82/classlarge__number.html#a10119a83839e65962621b73df46a5337">large_number</a>(5200)) {</div>
<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</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;\tFailed 3/6 (&quot;</span> &lt;&lt; a &lt;&lt; <span class="stringliteral">&quot;!=5200)&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="l00087" name="l00087"></a><span class="lineno"> 87</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span> }</div>
<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</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 3/6...&quot;</span>;</div>
<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span> <span class="comment">// 4. test increment (prefix)</span></div>
<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span> ++a;</div>
<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span> <span class="keywordflow">if</span> (a != <a class="code hl_function" href="../../db/d82/classlarge__number.html#a10119a83839e65962621b73df46a5337">large_number</a>(5201)) {</div>
<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</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;\tFailed 4/6 (&quot;</span> &lt;&lt; a &lt;&lt; <span class="stringliteral">&quot;!=5201)&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="l00094" name="l00094"></a><span class="lineno"> 94</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> }</div>
<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</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 4/6...&quot;</span>;</div>
<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span> <span class="comment">// 5. test increment (postfix)</span></div>
<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span> a++;</div>
<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span> <span class="keywordflow">if</span> (a != <a class="code hl_function" href="../../db/d82/classlarge__number.html#a10119a83839e65962621b73df46a5337">large_number</a>(5202)) {</div>
<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</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;\tFailed 5/6 (&quot;</span> &lt;&lt; a &lt;&lt; <span class="stringliteral">&quot;!=5202)&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="l00101" name="l00101"></a><span class="lineno"> 101</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span> }</div>
<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</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 5/6...&quot;</span>;</div>
<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span> <span class="comment">// 6. test addition with another large number</span></div>
<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span> a = a + <a class="code hl_function" href="../../db/d82/classlarge__number.html#a10119a83839e65962621b73df46a5337">large_number</a>(<span class="stringliteral">&quot;7000000000000000000000000000000&quot;</span>);</div>
<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span> <span class="keywordflow">if</span> (a != <a class="code hl_function" href="../../db/d82/classlarge__number.html#a10119a83839e65962621b73df46a5337">large_number</a>(<span class="stringliteral">&quot;7000000000000000000000000005202&quot;</span>)) {</div>
<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</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;\tFailed 6/6 (&quot;</span> &lt;&lt; a</div>
<div class="line"><a id="l00108" name="l00108"></a><span class="lineno"> 108</span> &lt;&lt; <span class="stringliteral">&quot;!=7000000000000000000000000005202)&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="l00109" name="l00109"></a><span class="lineno"> 109</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"> 110</span> }</div>
<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>
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<h2 class="memtitle"><span class="permalink"><a href="#a72ae1ef050c4c28c50952ecab22d4b94">&#9670;&nbsp;</a></span>operator!=</h2>
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<td class="memname">bool operator!= </td>
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<td class="paramtype"><a class="el" href="../../db/d82/classlarge__number.html">large_number</a> const &amp;&#160;</td>
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<p >operator overload to compare two numbers </p>
<div class="fragment"><div class="line"><a id="l00168" name="l00168"></a><span class="lineno"> 168</span> {</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>
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template&lt;class T &gt; </div>
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<td class="memname"><a class="el" href="../../db/d82/classlarge__number.html">large_number</a> &amp; operator+ </td>
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<p >operator overload to perform addition </p>
<div class="fragment"><div class="line"><a id="l00220" name="l00220"></a><span class="lineno"> 220</span> {</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>
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<td class="paramtype">const <a class="el" href="../../db/d82/classlarge__number.html">large_number</a> &amp;&#160;</td>
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<p >operator overload to compare two numbers </p>
<div class="fragment"><div class="line"><a id="l00146" name="l00146"></a><span class="lineno"> 146</span> {</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; static_cast&lt;int&gt;(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>
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<td class="memname">bool operator== </td>
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<p >operator overload to compare two numbers </p>
<div class="fragment"><div class="line"><a id="l00155" name="l00155"></a><span class="lineno"> 155</span> {</div>
<div class="line"><a id="l00156" name="l00156"></a><span class="lineno"> 156</span> <span class="keywordtype">size_t</span> <a class="code hl_variable" href="../../d6/d42/data__structures_2sparse__table_8cpp.html#a10f3ffb3f6f7e1b83d556b9c8de89a5d">N</a> = a.num_digits();</div>
<div class="line"><a id="l00157" name="l00157"></a><span class="lineno"> 157</span> <span class="keywordflow">if</span> (N != b.num_digits())</div>
<div class="line"><a id="l00158" name="l00158"></a><span class="lineno"> 158</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a id="l00159" name="l00159"></a><span class="lineno"> 159</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; <a class="code hl_variable" href="../../d6/d42/data__structures_2sparse__table_8cpp.html#a10f3ffb3f6f7e1b83d556b9c8de89a5d">N</a>; i++)</div>
<div class="line"><a id="l00160" name="l00160"></a><span class="lineno"> 160</span> <span class="keywordflow">if</span> (a[i] != b[i])</div>
<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 class="ttc" id="adata__structures_2sparse__table_8cpp_html_a10f3ffb3f6f7e1b83d556b9c8de89a5d"><div class="ttname"><a href="../../d6/d42/data__structures_2sparse__table_8cpp.html#a10f3ffb3f6f7e1b83d556b9c8de89a5d">data_structures::sparse_table::N</a></div><div class="ttdeci">constexpr uint32_t N</div><div class="ttdoc">A struct to represent sparse table for min() as their invariant function, for the given array A....</div><div class="ttdef"><b>Definition:</b> sparse_table.cpp:47</div></div>
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<h2 class="groupheader">Member Data Documentation</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#af2b3ec9c35842d3a46ac7326f268af57">&#9670;&nbsp;</a></span>_digits</h2>
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<td class="memname"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt;unsigned char&gt; large_number::_digits</td>
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<p >where individual digits are stored </p>
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<li>math/<a class="el" href="../../d4/d86/large__number_8h_source.html">large_number.h</a></li>
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