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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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Collaboration diagram for large_number:</div>
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Public Member Functions</h2></td></tr>
<tr class="memitem:a10119a83839e65962621b73df46a5337" id="r_a10119a83839e65962621b73df46a5337"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a10119a83839e65962621b73df46a5337">large_number</a> ()</td></tr>
<tr class="memitem:af4598f1f2794b5e17e10c25e0501e41a" id="r_af4598f1f2794b5e17e10c25e0501e41a"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#af4598f1f2794b5e17e10c25e0501e41a">large_number</a> (int n)</td></tr>
<tr class="memitem:a0b1efd203274e38a67b78937dfb9b872" id="r_a0b1efd203274e38a67b78937dfb9b872"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a0b1efd203274e38a67b78937dfb9b872">large_number</a> (const <a class="el" href="../../db/d82/classlarge__number.html">large_number</a> &amp;a)</td></tr>
<tr class="memitem:a76ddf1ed1b00fb8c107ea56f7f91e42f" id="r_a76ddf1ed1b00fb8c107ea56f7f91e42f"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a76ddf1ed1b00fb8c107ea56f7f91e42f">large_number</a> (std::vector&lt; unsigned char &gt; &amp;vec)</td></tr>
<tr class="memitem:adf804e60309bf016f7954fdcb0a4d103" id="r_adf804e60309bf016f7954fdcb0a4d103"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#adf804e60309bf016f7954fdcb0a4d103">large_number</a> (char const *number_str)</td></tr>
<tr class="memitem:a60c436d1a1c5e3795d6177d3815ad615" id="r_a60c436d1a1c5e3795d6177d3815ad615"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a60c436d1a1c5e3795d6177d3815ad615">add_digit</a> (unsigned int value)</td></tr>
<tr class="memitem:ac09a05ec4aafb4d9e0b4440d6f0e2a93" id="r_ac09a05ec4aafb4d9e0b4440d6f0e2a93"><td class="memItemLeft" align="right" valign="top">size_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#ac09a05ec4aafb4d9e0b4440d6f0e2a93">num_digits</a> () const</td></tr>
<tr class="memitem:a8c381aa1ecc960cefd82ec72f59e0e08" id="r_a8c381aa1ecc960cefd82ec72f59e0e08"><td class="memItemLeft" align="right" valign="top">unsigned char &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a8c381aa1ecc960cefd82ec72f59e0e08">operator[]</a> (size_t n)</td></tr>
<tr class="memitem:a149f2299bd8b9b57361cc3ea95558990" id="r_a149f2299bd8b9b57361cc3ea95558990"><td class="memItemLeft" align="right" valign="top">const unsigned char &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a149f2299bd8b9b57361cc3ea95558990">operator[]</a> (size_t n) const</td></tr>
<tr class="memitem:a4757697b1f7584b69e779a72abc4ae2a" id="r_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="#a4757697b1f7584b69e779a72abc4ae2a">operator++</a> ()</td></tr>
<tr class="memitem:a8d4364ee5a62964451d8cfee82649687" id="r_a8d4364ee5a62964451d8cfee82649687"><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="#a8d4364ee5a62964451d8cfee82649687">operator++</a> (int)</td></tr>
<tr class="memitem:aab5644405094740e34983cedfecb36cf" id="r_aab5644405094740e34983cedfecb36cf"><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="#aab5644405094740e34983cedfecb36cf">operator+=</a> (<a class="el" href="../../db/d82/classlarge__number.html">large_number</a> n)</td></tr>
<tr class="memitem:aef361ff1cadd9b7c68ce483bdc23f179" id="r_aef361ff1cadd9b7c68ce483bdc23f179"><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="#aef361ff1cadd9b7c68ce483bdc23f179">operator+=</a> (int n)</td></tr>
<tr class="memitem:ab84f29685709cbb3b6fd29b7b4a7bc7b" id="r_ab84f29685709cbb3b6fd29b7b4a7bc7b"><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="#ab84f29685709cbb3b6fd29b7b4a7bc7b">operator=</a> (const <a class="el" href="../../db/d82/classlarge__number.html">large_number</a> &amp;b)</td></tr>
<tr class="memitem:a771e9b28cfddf1ad94668566e396e350" id="r_a771e9b28cfddf1ad94668566e396e350"><td class="memTemplParams" colspan="2">template&lt;class T&gt; </td></tr>
<tr class="memitem:a771e9b28cfddf1ad94668566e396e350 template"><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="#a771e9b28cfddf1ad94668566e396e350">operator*=</a> (const T n)</td></tr>
<tr class="memitem:ae35a55607cf52c0b0d485f2129bd39ac" id="r_ae35a55607cf52c0b0d485f2129bd39ac"><td class="memItemLeft" align="right" valign="top">char&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#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" id="r_a959c5c1a982949bbf98e1ea0f9afe6a9"><td class="memItemLeft" align="right" valign="top">static bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a959c5c1a982949bbf98e1ea0f9afe6a9">test</a> ()</td></tr>
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Private Member Functions</h2></td></tr>
<tr class="memitem:a2f5571e66305cf68bb8283e4aeda58bc" id="r_a2f5571e66305cf68bb8283e4aeda58bc"><td class="memTemplParams" colspan="2">template&lt;class T&gt; </td></tr>
<tr class="memitem:a2f5571e66305cf68bb8283e4aeda58bc template"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a2f5571e66305cf68bb8283e4aeda58bc">multiply</a> (const T n)</td></tr>
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Private Attributes</h2></td></tr>
<tr class="memitem:af2b3ec9c35842d3a46ac7326f268af57" id="r_af2b3ec9c35842d3a46ac7326f268af57"><td class="memItemLeft" align="right" valign="top">std::vector&lt; unsigned char &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#af2b3ec9c35842d3a46ac7326f268af57">_digits</a></td></tr>
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<tr class="heading"><td colspan="2"><h2 id="header-friends" class="groupheader"><a id="friends" name="friends"></a>
Friends</h2></td></tr>
<tr class="memitem:a13282908dfc4888392ed3d1fc6aae492" id="r_a13282908dfc4888392ed3d1fc6aae492"><td class="memItemLeft" align="right" valign="top">std::ostream &amp;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a13282908dfc4888392ed3d1fc6aae492">operator&lt;&lt;</a> (std::ostream &amp;out, const <a class="el" href="../../db/d82/classlarge__number.html">large_number</a> &amp;a)</td></tr>
<tr class="memitem:a7ba872b9a3ce1f3da6c06c5409663cca" id="r_a7ba872b9a3ce1f3da6c06c5409663cca"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#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>
<tr class="memitem:a72ae1ef050c4c28c50952ecab22d4b94" id="r_a72ae1ef050c4c28c50952ecab22d4b94"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#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>
<tr class="memitem:abbd52948bee1b16543f1dae19aa9dd46" id="r_abbd52948bee1b16543f1dae19aa9dd46"><td class="memTemplParams" colspan="2">template&lt;class T&gt; </td></tr>
<tr class="memitem:abbd52948bee1b16543f1dae19aa9dd46 template"><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="#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 id="header-details" 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>
<p class="definition">Definition at line <a class="el" href="../../d4/d86/large__number_8h_source.html#l00024">24</a> of file <a class="el" href="../../d4/d86/large__number_8h_source.html">large_number.h</a>.</p>
</div><a name="doc-constructors" id="doc-constructors"></a><h2 id="header-doc-constructors" class="groupheader">Constructor &amp; Destructor Documentation</h2>
<a id="a10119a83839e65962621b73df46a5337" name="a10119a83839e65962621b73df46a5337"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a10119a83839e65962621b73df46a5337">&#9670;&#160;</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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<td class="paramname"><span class="paramname"><em></em></span></td><td>)</td>
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<p>&lt; initializer with value = 1 </p>
<p class="definition">Definition at line <a class="el" href="../../d4/d86/large__number_8h_source.html#l00027">27</a> of file <a class="el" href="../../d4/d86/large__number_8h_source.html">large_number.h</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 27</span>{ <a class="code hl_variable" href="#af2b3ec9c35842d3a46ac7326f268af57">_digits</a>.push_back(1); }</div>
<div class="ttc" id="aclasslarge__number_html_af2b3ec9c35842d3a46ac7326f268af57"><div class="ttname"><a href="#af2b3ec9c35842d3a46ac7326f268af57">large_number::_digits</a></div><div class="ttdeci">std::vector&lt; unsigned char &gt; _digits</div><div class="ttdef"><b>Definition</b> <a href="../../d4/d86/large__number_8h_source.html#l00285">large_number.h:285</a></div></div>
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<a id="af4598f1f2794b5e17e10c25e0501e41a" name="af4598f1f2794b5e17e10c25e0501e41a"></a>
<h2 class="memtitle"><span class="permalink"><a href="#af4598f1f2794b5e17e10c25e0501e41a">&#9670;&#160;</a></span>large_number() <span class="overload">[2/5]</span></h2>
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<td class="memname">large_number::large_number </td>
<td>(</td>
<td class="paramtype">int</td> <td class="paramname"><span class="paramname"><em>n</em></span></td><td>)</td>
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<p>&lt; initializer from an integer &lt; initializer from an integer initializer from another <a class="el" href="../../db/d82/classlarge__number.html">large_number</a> </p>
<p class="definition">Definition at line <a class="el" href="../../d4/d86/large__number_8h_source.html#l00039">39</a> of file <a class="el" href="../../d4/d86/large__number_8h_source.html">large_number.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a0b1efd203274e38a67b78937dfb9b872">&#9670;&#160;</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;</td> <td class="paramname"><span class="paramname"><em>a</em></span></td><td>)</td>
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<p>initializer from a vector </p>
<p class="definition">Definition at line <a class="el" href="../../d4/d86/large__number_8h_source.html#l00048">48</a> of file <a class="el" href="../../d4/d86/large__number_8h_source.html">large_number.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a76ddf1ed1b00fb8c107ea56f7f91e42f">&#9670;&#160;</a></span>large_number() <span class="overload">[4/5]</span></h2>
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<td class="memname">large_number::large_number </td>
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<td class="paramtype">std::vector&lt; unsigned char &gt; &amp;</td> <td class="paramname"><span class="paramname"><em>vec</em></span></td><td>)</td>
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<p>initializer from a string </p>
<p class="definition">Definition at line <a class="el" href="../../d4/d86/large__number_8h_source.html#l00051">51</a> of file <a class="el" href="../../d4/d86/large__number_8h_source.html">large_number.h</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#adf804e60309bf016f7954fdcb0a4d103">&#9670;&#160;</a></span>large_number() <span class="overload">[5/5]</span></h2>
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<td class="memname">large_number::large_number </td>
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<td class="paramtype">char const *</td> <td class="paramname"><span class="paramname"><em>number_str</em></span></td><td>)</td>
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<p class="definition">Definition at line <a class="el" href="../../d4/d86/large__number_8h_source.html#l00054">54</a> of file <a class="el" href="../../d4/d86/large__number_8h_source.html">large_number.h</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 54</span> {</div>
<div class="line"><span class="lineno"> 55</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = strlen(number_str); i &gt; 0; i--) {</div>
<div class="line"><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"><span class="lineno"> 57</span> <span class="keywordflow">if</span> (a &gt;= 0 &amp;&amp; a &lt;= 9)</div>
<div class="line"><span class="lineno"> 58</span> <a class="code hl_variable" href="#af2b3ec9c35842d3a46ac7326f268af57">_digits</a>.push_back(a);</div>
<div class="line"><span class="lineno"> 59</span> }</div>
<div class="line"><span class="lineno"> 60</span> }</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a60c436d1a1c5e3795d6177d3815ad615">&#9670;&#160;</a></span>add_digit()</h2>
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<td class="memname">void large_number::add_digit </td>
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<p>add a digit at MSB to the large number </p>
<p class="definition">Definition at line <a class="el" href="../../d4/d86/large__number_8h_source.html#l00118">118</a> of file <a class="el" href="../../d4/d86/large__number_8h_source.html">large_number.h</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 118</span> {</div>
<div class="line"><span class="lineno"> 119</span> <span class="keywordflow">if</span> (value &gt; 9) {</div>
<div class="line"><span class="lineno"> 120</span> std::cerr &lt;&lt; <span class="stringliteral">&quot;digit &gt; 9!!\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 121</span> exit(EXIT_FAILURE);</div>
<div class="line"><span class="lineno"> 122</span> }</div>
<div class="line"><span class="lineno"> 123</span> </div>
<div class="line"><span class="lineno"> 124</span> <a class="code hl_variable" href="#af2b3ec9c35842d3a46ac7326f268af57">_digits</a>.push_back(value);</div>
<div class="line"><span class="lineno"> 125</span> }</div>
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<h2 class="memtitle"><span class="permalink"><a href="#ae35a55607cf52c0b0d485f2129bd39ac">&#9670;&#160;</a></span>digit_char()</h2>
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<td class="memname">char large_number::digit_char </td>
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<p>returns i^th digit as an ASCII character </p>
<p class="definition">Definition at line <a class="el" href="../../d4/d86/large__number_8h_source.html#l00248">248</a> of file <a class="el" href="../../d4/d86/large__number_8h_source.html">large_number.h</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 248</span> {</div>
<div class="line"><span class="lineno"> 249</span> <span class="keywordflow">return</span> <a class="code hl_variable" href="#af2b3ec9c35842d3a46ac7326f268af57">_digits</a>[<a class="code hl_function" href="#ac09a05ec4aafb4d9e0b4440d6f0e2a93">num_digits</a>() - i - 1] + <span class="charliteral">&#39;0&#39;</span>;</div>
<div class="line"><span class="lineno"> 250</span> }</div>
<div class="ttc" id="aclasslarge__number_html_ac09a05ec4aafb4d9e0b4440d6f0e2a93"><div class="ttname"><a href="#ac09a05ec4aafb4d9e0b4440d6f0e2a93">large_number::num_digits</a></div><div class="ttdeci">size_t num_digits() const</div><div class="ttdef"><b>Definition</b> <a href="../../d4/d86/large__number_8h_source.html#l00130">large_number.h:130</a></div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#a2f5571e66305cf68bb8283e4aeda58bc">&#9670;&#160;</a></span>multiply()</h2>
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<td class="memname">void large_number::multiply </td>
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<p>multiply large number with another integer and store the result in the same large number </p>
<p class="definition">Definition at line <a class="el" href="../../d4/d86/large__number_8h_source.html#l00258">258</a> of file <a class="el" href="../../d4/d86/large__number_8h_source.html">large_number.h</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 258</span> {</div>
<div class="line"><span class="lineno"> 259</span> <span class="keyword">static_assert</span>(std::is_integral&lt;T&gt;::value,</div>
<div class="line"><span class="lineno"> 260</span> <span class="stringliteral">&quot;Can only have integer types.&quot;</span>);</div>
<div class="line"><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"><span class="lineno"> 262</span> <span class="comment">// unsigned integer types.&quot;);</span></div>
<div class="line"><span class="lineno"> 263</span> </div>
<div class="line"><span class="lineno"> 264</span> <span class="keywordtype">size_t</span> i;</div>
<div class="line"><span class="lineno"> 265</span> uint64_t carry = 0, temp;</div>
<div class="line"><span class="lineno"> 266</span> <span class="keywordflow">for</span> (i = 0; i &lt; this-&gt;<a class="code hl_function" href="#ac09a05ec4aafb4d9e0b4440d6f0e2a93">num_digits</a>(); i++) {</div>
<div class="line"><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"><span class="lineno"> 268</span> temp += carry;</div>
<div class="line"><span class="lineno"> 269</span> <span class="keywordflow">if</span> (temp &lt; 10) {</div>
<div class="line"><span class="lineno"> 270</span> carry = 0;</div>
<div class="line"><span class="lineno"> 271</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><span class="lineno"> 272</span> carry = temp / 10;</div>
<div class="line"><span class="lineno"> 273</span> temp = temp % 10;</div>
<div class="line"><span class="lineno"> 274</span> }</div>
<div class="line"><span class="lineno"> 275</span> (*this)[i] = temp;</div>
<div class="line"><span class="lineno"> 276</span> }</div>
<div class="line"><span class="lineno"> 277</span> </div>
<div class="line"><span class="lineno"> 278</span> <span class="keywordflow">while</span> (carry != 0) {</div>
<div class="line"><span class="lineno"> 279</span> this-&gt;<a class="code hl_function" href="#a60c436d1a1c5e3795d6177d3815ad615">add_digit</a>(carry % 10);</div>
<div class="line"><span class="lineno"> 280</span> carry /= 10;</div>
<div class="line"><span class="lineno"> 281</span> }</div>
<div class="line"><span class="lineno"> 282</span> }</div>
<div class="ttc" id="aclasslarge__number_html_a60c436d1a1c5e3795d6177d3815ad615"><div class="ttname"><a href="#a60c436d1a1c5e3795d6177d3815ad615">large_number::add_digit</a></div><div class="ttdeci">void add_digit(unsigned int value)</div><div class="ttdef"><b>Definition</b> <a href="../../d4/d86/large__number_8h_source.html#l00118">large_number.h:118</a></div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#ac09a05ec4aafb4d9e0b4440d6f0e2a93">&#9670;&#160;</a></span>num_digits()</h2>
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<td class="memname">size_t large_number::num_digits </td>
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<p>Get number of digits in the number </p>
<p class="definition">Definition at line <a class="el" href="../../d4/d86/large__number_8h_source.html#l00130">130</a> of file <a class="el" href="../../d4/d86/large__number_8h_source.html">large_number.h</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 130</span>{ <span class="keywordflow">return</span> <a class="code hl_variable" href="#af2b3ec9c35842d3a46ac7326f268af57">_digits</a>.size(); }</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a771e9b28cfddf1ad94668566e396e350">&#9670;&#160;</a></span>operator*=()</h2>
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<p>operator overload to increment </p>
<p class="definition">Definition at line <a class="el" href="../../d4/d86/large__number_8h_source.html#l00238">238</a> of file <a class="el" href="../../d4/d86/large__number_8h_source.html">large_number.h</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 238</span> {</div>
<div class="line"><span class="lineno"> 239</span> <span class="keyword">static_assert</span>(std::is_integral&lt;T&gt;::value,</div>
<div class="line"><span class="lineno"> 240</span> <span class="stringliteral">&quot;Must be integer addition unsigned integer types.&quot;</span>);</div>
<div class="line"><span class="lineno"> 241</span> this-&gt;<a class="code hl_function" href="#a2f5571e66305cf68bb8283e4aeda58bc">multiply</a>(n);</div>
<div class="line"><span class="lineno"> 242</span> <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><span class="lineno"> 243</span> }</div>
<div class="ttc" id="aclasslarge__number_html_a2f5571e66305cf68bb8283e4aeda58bc"><div class="ttname"><a href="#a2f5571e66305cf68bb8283e4aeda58bc">large_number::multiply</a></div><div class="ttdeci">void multiply(const T n)</div><div class="ttdef"><b>Definition</b> <a href="../../d4/d86/large__number_8h_source.html#l00258">large_number.h:258</a></div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#a4757697b1f7584b69e779a72abc4ae2a">&#9670;&#160;</a></span>operator++() <span class="overload">[1/2]</span></h2>
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<p>operator overload to increment (prefix) </p>
<p class="definition">Definition at line <a class="el" href="../../d4/d86/large__number_8h_source.html#l00175">175</a> of file <a class="el" href="../../d4/d86/large__number_8h_source.html">large_number.h</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 175</span> {</div>
<div class="line"><span class="lineno"> 176</span> (*this) += 1;</div>
<div class="line"><span class="lineno"> 177</span> <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><span class="lineno"> 178</span> }</div>
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<p>operator overload to increment (postfix) </p>
<p class="definition">Definition at line <a class="el" href="../../d4/d86/large__number_8h_source.html#l00183">183</a> of file <a class="el" href="../../d4/d86/large__number_8h_source.html">large_number.h</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 183</span> {</div>
<div class="line"><span class="lineno"> 184</span> <span class="keyword">static</span> <a class="code hl_function" href="#a10119a83839e65962621b73df46a5337">large_number</a> tmp(<a class="code hl_variable" href="#af2b3ec9c35842d3a46ac7326f268af57">_digits</a>);</div>
<div class="line"><span class="lineno"> 185</span> ++(*this);</div>
<div class="line"><span class="lineno"> 186</span> <span class="keywordflow">return</span> tmp;</div>
<div class="line"><span class="lineno"> 187</span> }</div>
<div class="ttc" id="aclasslarge__number_html_a10119a83839e65962621b73df46a5337"><div class="ttname"><a href="#a10119a83839e65962621b73df46a5337">large_number::large_number</a></div><div class="ttdeci">large_number()</div><div class="ttdef"><b>Definition</b> <a href="../../d4/d86/large__number_8h_source.html#l00027">large_number.h:27</a></div></div>
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<p class="definition">Definition at line <a class="el" href="../../d4/d86/large__number_8h_source.html#l00212">212</a> of file <a class="el" href="../../d4/d86/large__number_8h_source.html">large_number.h</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 212</span>{ <span class="keywordflow">return</span> (*<span class="keyword">this</span>) += <a class="code hl_function" href="#a10119a83839e65962621b73df46a5337">large_number</a>(n); }</div>
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<p>operator overload to add </p>
<p class="definition">Definition at line <a class="el" href="../../d4/d86/large__number_8h_source.html#l00192">192</a> of file <a class="el" href="../../d4/d86/large__number_8h_source.html">large_number.h</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 192</span> {</div>
<div class="line"><span class="lineno"> 193</span> <span class="comment">// if adding with another large_number</span></div>
<div class="line"><span class="lineno"> 194</span> <a class="code hl_function" href="#a10119a83839e65962621b73df46a5337">large_number</a> *b = <span class="keyword">reinterpret_cast&lt;</span><a class="code hl_function" href="#a10119a83839e65962621b73df46a5337">large_number</a> *<span class="keyword">&gt;</span>(&amp;n);</div>
<div class="line"><span class="lineno"> 195</span> <span class="keyword">const</span> <span class="keywordtype">size_t</span> max_L = std::max(this-&gt;<a class="code hl_function" href="#ac09a05ec4aafb4d9e0b4440d6f0e2a93">num_digits</a>(), b-&gt;<a class="code hl_function" href="#ac09a05ec4aafb4d9e0b4440d6f0e2a93">num_digits</a>());</div>
<div class="line"><span class="lineno"> 196</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> carry = 0;</div>
<div class="line"><span class="lineno"> 197</span> <span class="keywordtype">size_t</span> i;</div>
<div class="line"><span class="lineno"> 198</span> <span class="keywordflow">for</span> (i = 0; i &lt; max_L || carry != 0; i++) {</div>
<div class="line"><span class="lineno"> 199</span> <span class="keywordflow">if</span> (i &lt; b-&gt;<a class="code hl_function" href="#ac09a05ec4aafb4d9e0b4440d6f0e2a93">num_digits</a>())</div>
<div class="line"><span class="lineno"> 200</span> carry += (*b)[i];</div>
<div class="line"><span class="lineno"> 201</span> <span class="keywordflow">if</span> (i &lt; this-&gt;<a class="code hl_function" href="#ac09a05ec4aafb4d9e0b4440d6f0e2a93">num_digits</a>())</div>
<div class="line"><span class="lineno"> 202</span> carry += (*this)[i];</div>
<div class="line"><span class="lineno"> 203</span> <span class="keywordflow">if</span> (i &lt; this-&gt;<a class="code hl_function" href="#ac09a05ec4aafb4d9e0b4440d6f0e2a93">num_digits</a>())</div>
<div class="line"><span class="lineno"> 204</span> (*this)[i] = carry % 10;</div>
<div class="line"><span class="lineno"> 205</span> <span class="keywordflow">else</span></div>
<div class="line"><span class="lineno"> 206</span> this-&gt;<a class="code hl_function" href="#a60c436d1a1c5e3795d6177d3815ad615">add_digit</a>(carry % 10);</div>
<div class="line"><span class="lineno"> 207</span> carry /= 10;</div>
<div class="line"><span class="lineno"> 208</span> }</div>
<div class="line"><span class="lineno"> 209</span> <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><span class="lineno"> 210</span> }</div>
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<h2 class="memtitle"><span class="permalink"><a href="#ab84f29685709cbb3b6fd29b7b4a7bc7b">&#9670;&#160;</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>
<p class="definition">Definition at line <a class="el" href="../../d4/d86/large__number_8h_source.html#l00229">229</a> of file <a class="el" href="../../d4/d86/large__number_8h_source.html">large_number.h</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 229</span> {</div>
<div class="line"><span class="lineno"> 230</span> this-&gt;<a class="code hl_variable" href="#af2b3ec9c35842d3a46ac7326f268af57">_digits</a> = b.<a class="code hl_variable" href="#af2b3ec9c35842d3a46ac7326f268af57">_digits</a>;</div>
<div class="line"><span class="lineno"> 231</span> <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><span class="lineno"> 232</span> }</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a8c381aa1ecc960cefd82ec72f59e0e08">&#9670;&#160;</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="paramtype">size_t</td> <td class="paramname"><span class="paramname"><em>n</em></span></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>
<p class="definition">Definition at line <a class="el" href="../../d4/d86/large__number_8h_source.html#l00137">137</a> of file <a class="el" href="../../d4/d86/large__number_8h_source.html">large_number.h</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 137</span>{ <span class="keywordflow">return</span> this-&gt;<a class="code hl_variable" href="#af2b3ec9c35842d3a46ac7326f268af57">_digits</a>[n]; }</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a149f2299bd8b9b57361cc3ea95558990">&#9670;&#160;</a></span>operator[]() <span class="overload">[2/2]</span></h2>
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<td class="memname">const unsigned char &amp; large_number::operator[] </td>
<td>(</td>
<td class="paramtype">size_t</td> <td class="paramname"><span class="paramname"><em>n</em></span></td><td>)</td>
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<p class="definition">Definition at line <a class="el" href="../../d4/d86/large__number_8h_source.html#l00139">139</a> of file <a class="el" href="../../d4/d86/large__number_8h_source.html">large_number.h</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 139</span> {</div>
<div class="line"><span class="lineno"> 140</span> <span class="keywordflow">return</span> this-&gt;<a class="code hl_variable" href="#af2b3ec9c35842d3a46ac7326f268af57">_digits</a>[n];</div>
<div class="line"><span class="lineno"> 141</span> }</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a959c5c1a982949bbf98e1ea0f9afe6a9">&#9670;&#160;</a></span>test()</h2>
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<td class="memname">bool large_number::test </td>
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<p>Function to check implementation </p>
<p class="definition">Definition at line <a class="el" href="../../d4/d86/large__number_8h_source.html#l00065">65</a> of file <a class="el" href="../../d4/d86/large__number_8h_source.html">large_number.h</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 65</span> {</div>
<div class="line"><span class="lineno"> 66</span> std::cout &lt;&lt; <span class="stringliteral">&quot;------ Checking `large_number` class implementations\t&quot;</span></div>
<div class="line"><span class="lineno"> 67</span> &lt;&lt; std::endl;</div>
<div class="line"><span class="lineno"> 68</span> <a class="code hl_function" href="#a10119a83839e65962621b73df46a5337">large_number</a> a(40);</div>
<div class="line"><span class="lineno"> 69</span> <span class="comment">// 1. test multiplication</span></div>
<div class="line"><span class="lineno"> 70</span> a *= 10;</div>
<div class="line"><span class="lineno"> 71</span> <span class="keywordflow">if</span> (a != <a class="code hl_function" href="#a10119a83839e65962621b73df46a5337">large_number</a>(400)) {</div>
<div class="line"><span class="lineno"> 72</span> std::cerr &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; std::endl;</div>
<div class="line"><span class="lineno"> 73</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><span class="lineno"> 74</span> }</div>
<div class="line"><span class="lineno"> 75</span> std::cout &lt;&lt; <span class="stringliteral">&quot;\tPassed 1/6...&quot;</span>;</div>
<div class="line"><span class="lineno"> 76</span> <span class="comment">// 2. test compound addition with integer</span></div>
<div class="line"><span class="lineno"> 77</span> a += 120;</div>
<div class="line"><span class="lineno"> 78</span> <span class="keywordflow">if</span> (a != <a class="code hl_function" href="#a10119a83839e65962621b73df46a5337">large_number</a>(520)) {</div>
<div class="line"><span class="lineno"> 79</span> std::cerr &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; std::endl;</div>
<div class="line"><span class="lineno"> 80</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><span class="lineno"> 81</span> }</div>
<div class="line"><span class="lineno"> 82</span> std::cout &lt;&lt; <span class="stringliteral">&quot;\tPassed 2/6...&quot;</span>;</div>
<div class="line"><span class="lineno"> 83</span> <span class="comment">// 3. test compound multiplication again</span></div>
<div class="line"><span class="lineno"> 84</span> a *= 10;</div>
<div class="line"><span class="lineno"> 85</span> <span class="keywordflow">if</span> (a != <a class="code hl_function" href="#a10119a83839e65962621b73df46a5337">large_number</a>(5200)) {</div>
<div class="line"><span class="lineno"> 86</span> std::cerr &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; std::endl;</div>
<div class="line"><span class="lineno"> 87</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><span class="lineno"> 88</span> }</div>
<div class="line"><span class="lineno"> 89</span> std::cout &lt;&lt; <span class="stringliteral">&quot;\tPassed 3/6...&quot;</span>;</div>
<div class="line"><span class="lineno"> 90</span> <span class="comment">// 4. test increment (prefix)</span></div>
<div class="line"><span class="lineno"> 91</span> ++a;</div>
<div class="line"><span class="lineno"> 92</span> <span class="keywordflow">if</span> (a != <a class="code hl_function" href="#a10119a83839e65962621b73df46a5337">large_number</a>(5201)) {</div>
<div class="line"><span class="lineno"> 93</span> std::cerr &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; std::endl;</div>
<div class="line"><span class="lineno"> 94</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><span class="lineno"> 95</span> }</div>
<div class="line"><span class="lineno"> 96</span> std::cout &lt;&lt; <span class="stringliteral">&quot;\tPassed 4/6...&quot;</span>;</div>
<div class="line"><span class="lineno"> 97</span> <span class="comment">// 5. test increment (postfix)</span></div>
<div class="line"><span class="lineno"> 98</span> a++;</div>
<div class="line"><span class="lineno"> 99</span> <span class="keywordflow">if</span> (a != <a class="code hl_function" href="#a10119a83839e65962621b73df46a5337">large_number</a>(5202)) {</div>
<div class="line"><span class="lineno"> 100</span> std::cerr &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; std::endl;</div>
<div class="line"><span class="lineno"> 101</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><span class="lineno"> 102</span> }</div>
<div class="line"><span class="lineno"> 103</span> std::cout &lt;&lt; <span class="stringliteral">&quot;\tPassed 5/6...&quot;</span>;</div>
<div class="line"><span class="lineno"> 104</span> <span class="comment">// 6. test addition with another large number</span></div>
<div class="line"><span class="lineno"> 105</span> a = a + <a class="code hl_function" href="#a10119a83839e65962621b73df46a5337">large_number</a>(<span class="stringliteral">&quot;7000000000000000000000000000000&quot;</span>);</div>
<div class="line"><span class="lineno"> 106</span> <span class="keywordflow">if</span> (a != <a class="code hl_function" href="#a10119a83839e65962621b73df46a5337">large_number</a>(<span class="stringliteral">&quot;7000000000000000000000000005202&quot;</span>)) {</div>
<div class="line"><span class="lineno"> 107</span> std::cerr &lt;&lt; <span class="stringliteral">&quot;\tFailed 6/6 (&quot;</span> &lt;&lt; a</div>
<div class="line"><span class="lineno"> 108</span> &lt;&lt; <span class="stringliteral">&quot;!=7000000000000000000000000005202)&quot;</span> &lt;&lt; std::endl;</div>
<div class="line"><span class="lineno"> 109</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><span class="lineno"> 110</span> }</div>
<div class="line"><span class="lineno"> 111</span> std::cout &lt;&lt; <span class="stringliteral">&quot;\tPassed 6/6...&quot;</span> &lt;&lt; std::endl;</div>
<div class="line"><span class="lineno"> 112</span> <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><span class="lineno"> 113</span> }</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a72ae1ef050c4c28c50952ecab22d4b94">&#9670;&#160;</a></span>operator!=</h2>
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<p>operator overload to compare two numbers </p>
<p class="definition">Definition at line <a class="el" href="../../d4/d86/large__number_8h_source.html#l00168">168</a> of file <a class="el" href="../../d4/d86/large__number_8h_source.html">large_number.h</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 168</span> {</div>
<div class="line"><span class="lineno"> 169</span> <span class="keywordflow">return</span> !(a == b);</div>
<div class="line"><span class="lineno"> 170</span> }</div>
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<h2 class="memtitle"><span class="permalink"><a href="#abbd52948bee1b16543f1dae19aa9dd46">&#9670;&#160;</a></span>operator+</h2>
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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>
<p class="definition">Definition at line <a class="el" href="../../d4/d86/large__number_8h_source.html#l00220">220</a> of file <a class="el" href="../../d4/d86/large__number_8h_source.html">large_number.h</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 220</span> {</div>
<div class="line"><span class="lineno"> 221</span> <span class="keyword">static</span> <a class="code hl_function" href="#a10119a83839e65962621b73df46a5337">large_number</a> c = a;</div>
<div class="line"><span class="lineno"> 222</span> c += b;</div>
<div class="line"><span class="lineno"> 223</span> <span class="keywordflow">return</span> c;</div>
<div class="line"><span class="lineno"> 224</span> }</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a13282908dfc4888392ed3d1fc6aae492">&#9670;&#160;</a></span>operator&lt;&lt;</h2>
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<p>operator overload to compare two numbers </p>
<p class="definition">Definition at line <a class="el" href="../../d4/d86/large__number_8h_source.html#l00146">146</a> of file <a class="el" href="../../d4/d86/large__number_8h_source.html">large_number.h</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 146</span> {</div>
<div class="line"><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"><span class="lineno"> 148</span> out &lt;&lt; static_cast&lt;int&gt;(a[i - 1]);</div>
<div class="line"><span class="lineno"> 149</span> <span class="keywordflow">return</span> out;</div>
<div class="line"><span class="lineno"> 150</span> }</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a7ba872b9a3ce1f3da6c06c5409663cca">&#9670;&#160;</a></span>operator==</h2>
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<p>operator overload to compare two numbers </p>
<p class="definition">Definition at line <a class="el" href="../../d4/d86/large__number_8h_source.html#l00155">155</a> of file <a class="el" href="../../d4/d86/large__number_8h_source.html">large_number.h</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 155</span> {</div>
<div class="line"><span class="lineno"> 156</span> <span class="keywordtype">size_t</span> <a class="code hl_variable" href="../../d8/dab/sparse__table_8cpp.html#a10f3ffb3f6f7e1b83d556b9c8de89a5d">N</a> = a.num_digits();</div>
<div class="line"><span class="lineno"> 157</span> <span class="keywordflow">if</span> (N != b.num_digits())</div>
<div class="line"><span class="lineno"> 158</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><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="../../d8/dab/sparse__table_8cpp.html#a10f3ffb3f6f7e1b83d556b9c8de89a5d">N</a>; i++)</div>
<div class="line"><span class="lineno"> 160</span> <span class="keywordflow">if</span> (a[i] != b[i])</div>
<div class="line"><span class="lineno"> 161</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><span class="lineno"> 162</span> <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><span class="lineno"> 163</span> }</div>
<div class="ttc" id="asparse__table_8cpp_html_a10f3ffb3f6f7e1b83d556b9c8de89a5d"><div class="ttname"><a href="../../d8/dab/sparse__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> <a href="../../d8/dab/sparse__table_8cpp_source.html#l00048">sparse_table.cpp:48</a></div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#af2b3ec9c35842d3a46ac7326f268af57">&#9670;&#160;</a></span>_digits</h2>
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<td class="memname">std::vector&lt;unsigned char&gt; large_number::_digits</td>
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<p>where individual digits are stored </p>
<p class="definition">Definition at line <a class="el" href="../../d4/d86/large__number_8h_source.html#l00285">285</a> of file <a class="el" href="../../d4/d86/large__number_8h_source.html">large_number.h</a>.</p>
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