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<a href="../../d4/d86/large__number_8h.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno"> 1</span><span class="comment">/**</span></div>
<div class="line"><a id="l00002" name="l00002"></a><span class="lineno"> 2</span><span class="comment"> * @file</span></div>
<div class="line"><a id="l00003" name="l00003"></a><span class="lineno"> 3</span><span class="comment"> * @brief Library to perform arithmatic operations on arbitrarily large</span></div>
<div class="line"><a id="l00004" name="l00004"></a><span class="lineno"> 4</span><span class="comment"> * numbers.</span></div>
<div class="line"><a id="l00005" name="l00005"></a><span class="lineno"> 5</span><span class="comment"> * \author [Krishna Vedala](https://github.com/kvedala)</span></div>
<div class="line"><a id="l00006" name="l00006"></a><span class="lineno"> 6</span><span class="comment"> */</span></div>
<div class="line"><a id="l00007" name="l00007"></a><span class="lineno"> 7</span> </div>
<div class="line"><a id="l00008" name="l00008"></a><span class="lineno"> 8</span><span class="preprocessor">#ifndef MATH_LARGE_NUMBER_H_</span></div>
<div class="line"><a id="l00009" name="l00009"></a><span class="lineno"> 9</span><span class="preprocessor">#define MATH_LARGE_NUMBER_H_</span></div>
<div class="line"><a id="l00010" name="l00010"></a><span class="lineno"> 10</span><span class="preprocessor">#include &lt;algorithm&gt;</span></div>
<div class="line"><a id="l00011" name="l00011"></a><span class="lineno"> 11</span><span class="preprocessor">#include &lt;cassert&gt;</span></div>
<div class="line"><a id="l00012" name="l00012"></a><span class="lineno"> 12</span><span class="preprocessor">#include &lt;cinttypes&gt;</span></div>
<div class="line"><a id="l00013" name="l00013"></a><span class="lineno"> 13</span><span class="preprocessor">#include &lt;cstring&gt;</span></div>
<div class="line"><a id="l00014" name="l00014"></a><span class="lineno"> 14</span><span class="preprocessor">#include &lt;iostream&gt;</span></div>
<div class="line"><a id="l00015" name="l00015"></a><span class="lineno"> 15</span><span class="preprocessor">#include &lt;type_traits&gt;</span></div>
<div class="line"><a id="l00016" name="l00016"></a><span class="lineno"> 16</span><span class="preprocessor">#include &lt;vector&gt;</span></div>
<div class="line"><a id="l00017" name="l00017"></a><span class="lineno"> 17</span><span class="comment"></span> </div>
<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span><span class="comment">/**</span></div>
<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</span><span class="comment"> * Store large unsigned numbers as a C++ vector</span></div>
<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span><span class="comment"> * The class provides convenience functions to add a</span></div>
<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span><span class="comment"> * digit to the number, perform multiplication of</span></div>
<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span><span class="comment"> * large number with long unsigned integers.</span></div>
<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span><span class="comment"> **/</span></div>
<div class="foldopen" id="foldopen00024" data-start="{" data-end="};">
<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"><a class="line" href="../../db/d82/classlarge__number.html"> 24</a></span><span class="keyword">class </span><a class="code hl_class" href="../../db/d82/classlarge__number.html">large_number</a> {</div>
<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span> <span class="keyword">public</span>:<span class="comment"></span></div>
<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</span><span class="comment"> /**&lt; initializer with value = 1 */</span></div>
<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"><a class="line" href="../../db/d82/classlarge__number.html#a10119a83839e65962621b73df46a5337"> 27</a></span> <a class="code hl_function" href="../../db/d82/classlarge__number.html#a10119a83839e65962621b73df46a5337">large_number</a>() { <a class="code hl_variable" href="../../db/d82/classlarge__number.html#af2b3ec9c35842d3a46ac7326f268af57">_digits</a>.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/push_back.html">push_back</a>(1); }</div>
<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span> </div>
<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span> <span class="comment">// /**&lt; initializer from an integer */</span></div>
<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span> <span class="comment">// explicit large_number(uint64_t n) {</span></div>
<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span> <span class="comment">// uint64_t carry = n;</span></div>
<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span> <span class="comment">// do {</span></div>
<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span> <span class="comment">// add_digit(carry % 10);</span></div>
<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span> <span class="comment">// carry /= 10;</span></div>
<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span> <span class="comment">// } while (carry != 0);</span></div>
<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span> <span class="comment">// }</span></div>
<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span><span class="comment"></span> </div>
<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span><span class="comment"> /**&lt; initializer from an integer */</span></div>
<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"><a class="line" href="../../db/d82/classlarge__number.html#af4598f1f2794b5e17e10c25e0501e41a"> 39</a></span> <span class="keyword">explicit</span> <a class="code hl_function" href="../../db/d82/classlarge__number.html#af4598f1f2794b5e17e10c25e0501e41a">large_number</a>(<span class="keywordtype">int</span> n) {</div>
<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span> <span class="keywordtype">int</span> carry = n;</div>
<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span> <span class="keywordflow">do</span> {</div>
<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span> <a class="code hl_function" href="../../db/d82/classlarge__number.html#a60c436d1a1c5e3795d6177d3815ad615">add_digit</a>(carry % 10);</div>
<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span> carry /= 10;</div>
<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span> } <span class="keywordflow">while</span> (carry != 0);</div>
<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span> }</div>
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span><span class="comment"></span> </div>
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span><span class="comment"> /**&lt; initializer from another large_number */</span></div>
<div class="foldopen" id="foldopen00048" data-start="{" data-end="}">
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"><a class="line" href="../../db/d82/classlarge__number.html#a0b1efd203274e38a67b78937dfb9b872"> 48</a></span> <a class="code hl_function" href="../../db/d82/classlarge__number.html#a0b1efd203274e38a67b78937dfb9b872">large_number</a>(<span class="keyword">const</span> <a class="code hl_class" href="../../db/d82/classlarge__number.html">large_number</a> &amp;a) : <a class="code hl_variable" href="../../db/d82/classlarge__number.html#af2b3ec9c35842d3a46ac7326f268af57">_digits</a>(a.<a class="code hl_variable" href="../../db/d82/classlarge__number.html#af2b3ec9c35842d3a46ac7326f268af57">_digits</a>) {}</div>
<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span><span class="comment"></span> </div>
<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span><span class="comment"> /**&lt; initializer from a vector */</span></div>
<div class="foldopen" id="foldopen00051" data-start="{" data-end="}">
<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"><a class="line" href="../../db/d82/classlarge__number.html#a76ddf1ed1b00fb8c107ea56f7f91e42f"> 51</a></span> <span class="keyword">explicit</span> <a class="code hl_function" href="../../db/d82/classlarge__number.html#a76ddf1ed1b00fb8c107ea56f7f91e42f">large_number</a>(<a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;unsigned char&gt;</a> &amp;vec) : <a class="code hl_variable" href="../../db/d82/classlarge__number.html#af2b3ec9c35842d3a46ac7326f268af57">_digits</a>(vec) {}</div>
<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span><span class="comment"></span> </div>
<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span><span class="comment"> /**&lt; initializer from a string */</span></div>
<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span> <span class="keyword">explicit</span> <a class="code hl_function" href="../../db/d82/classlarge__number.html#a10119a83839e65962621b73df46a5337">large_number</a>(<span class="keywordtype">char</span> <span class="keyword">const</span> *number_str) {</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 = strlen(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>.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/push_back.html">push_back</a>(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="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span><span class="comment"></span> </div>
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span><span class="comment"> /**</span></div>
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span><span class="comment"> * Function to check implementation</span></div>
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span><span class="comment"> **/</span></div>
<div class="foldopen" id="foldopen00065" data-start="{" data-end="}">
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"><a class="line" href="../../db/d82/classlarge__number.html#a959c5c1a982949bbf98e1ea0f9afe6a9"> 65</a></span> <span class="keyword">static</span> <span class="keywordtype">bool</span> <a class="code hl_function" href="../../db/d82/classlarge__number.html#a959c5c1a982949bbf98e1ea0f9afe6a9">test</a>() {</div>
<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;------ Checking `large_number` class implementations\t&quot;</span></div>
<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span> &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<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>
</div>
<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span><span class="comment"></span> </div>
<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span><span class="comment"> /**</span></div>
<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span><span class="comment"> * add a digit at MSB to the large number</span></div>
<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span><span class="comment"> **/</span></div>
<div class="foldopen" id="foldopen00118" data-start="{" data-end="}">
<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"><a class="line" href="../../db/d82/classlarge__number.html#a60c436d1a1c5e3795d6177d3815ad615"> 118</a></span> <span class="keywordtype">void</span> <a class="code hl_function" href="../../db/d82/classlarge__number.html#a60c436d1a1c5e3795d6177d3815ad615">add_digit</a>(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> value) {</div>
<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span> <span class="keywordflow">if</span> (value &gt; 9) {</div>
<div class="line"><a id="l00120" name="l00120"></a><span class="lineno"> 120</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cerr</a> &lt;&lt; <span class="stringliteral">&quot;digit &gt; 9!!\n&quot;</span>;</div>
<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</span> exit(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>.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/push_back.html">push_back</a>(value);</div>
<div class="line"><a id="l00125" name="l00125"></a><span class="lineno"> 125</span> }</div>
</div>
<div class="line"><a id="l00126" name="l00126"></a><span class="lineno"> 126</span><span class="comment"></span> </div>
<div class="line"><a id="l00127" name="l00127"></a><span class="lineno"> 127</span><span class="comment"> /**</span></div>
<div class="line"><a id="l00128" name="l00128"></a><span class="lineno"> 128</span><span class="comment"> * Get number of digits in the number</span></div>
<div class="line"><a id="l00129" name="l00129"></a><span class="lineno"> 129</span><span class="comment"> **/</span></div>
<div class="line"><a id="l00130" name="l00130"></a><span class="lineno"><a class="line" href="../../db/d82/classlarge__number.html#ac09a05ec4aafb4d9e0b4440d6f0e2a93"> 130</a></span> <span class="keywordtype">size_t</span> <a class="code hl_function" href="../../db/d82/classlarge__number.html#ac09a05ec4aafb4d9e0b4440d6f0e2a93">num_digits</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> <a class="code hl_variable" href="../../db/d82/classlarge__number.html#af2b3ec9c35842d3a46ac7326f268af57">_digits</a>.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>(); }</div>
<div class="line"><a id="l00131" name="l00131"></a><span class="lineno"> 131</span><span class="comment"></span> </div>
<div class="line"><a id="l00132" name="l00132"></a><span class="lineno"> 132</span><span class="comment"> /**</span></div>
<div class="line"><a id="l00133" name="l00133"></a><span class="lineno"> 133</span><span class="comment"> * operator over load to access the</span></div>
<div class="line"><a id="l00134" name="l00134"></a><span class="lineno"> 134</span><span class="comment"> * i^th digit conveniently and also</span></div>
<div class="line"><a id="l00135" name="l00135"></a><span class="lineno"> 135</span><span class="comment"> * assign value to it</span></div>
<div class="line"><a id="l00136" name="l00136"></a><span class="lineno"> 136</span><span class="comment"> **/</span></div>
<div class="line"><a id="l00137" name="l00137"></a><span class="lineno"><a class="line" href="../../db/d82/classlarge__number.html#a8c381aa1ecc960cefd82ec72f59e0e08"> 137</a></span> <span class="keyword">inline</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">char</span> &amp;<a class="code hl_function" href="../../db/d82/classlarge__number.html#a8c381aa1ecc960cefd82ec72f59e0e08">operator[]</a>(<span class="keywordtype">size_t</span> n) { <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="l00138" name="l00138"></a><span class="lineno"> 138</span> </div>
<div class="line"><a id="l00139" name="l00139"></a><span class="lineno"> 139</span> <span class="keyword">inline</span> <span class="keyword">const</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">char</span> &amp;<a class="code hl_function" href="../../db/d82/classlarge__number.html#a8c381aa1ecc960cefd82ec72f59e0e08">operator[]</a>(<span class="keywordtype">size_t</span> n)<span class="keyword"> const </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>
<div class="line"><a id="l00142" name="l00142"></a><span class="lineno"> 142</span><span class="comment"></span> </div>
<div class="line"><a id="l00143" name="l00143"></a><span class="lineno"> 143</span><span class="comment"> /**</span></div>
<div class="line"><a id="l00144" name="l00144"></a><span class="lineno"> 144</span><span class="comment"> * operator overload to compare two numbers</span></div>
<div class="line"><a id="l00145" name="l00145"></a><span class="lineno"> 145</span><span class="comment"> **/</span></div>
<div class="foldopen" id="foldopen00146" data-start="{" data-end="};">
<div class="line"><a id="l00146" name="l00146"></a><span class="lineno"><a class="line" href="../../db/d82/classlarge__number.html#a13282908dfc4888392ed3d1fc6aae492"> 146</a></span> <span class="keyword">friend</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::ostream</a> &amp;<a class="code hl_friend" href="../../db/d82/classlarge__number.html#a13282908dfc4888392ed3d1fc6aae492">operator&lt;&lt;</a>(<a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::ostream</a> &amp;out, <span class="keyword">const</span> <a class="code hl_class" href="../../db/d82/classlarge__number.html">large_number</a> &amp;a) {</div>
<div class="line"><a id="l00147" name="l00147"></a><span class="lineno"> 147</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = a.num_digits(); i &gt; 0; i--)</div>
<div class="line"><a id="l00148" name="l00148"></a><span class="lineno"> 148</span> out &lt;&lt; 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>
</div>
<div class="line"><a id="l00151" name="l00151"></a><span class="lineno"> 151</span><span class="comment"></span> </div>
<div class="line"><a id="l00152" name="l00152"></a><span class="lineno"> 152</span><span class="comment"> /**</span></div>
<div class="line"><a id="l00153" name="l00153"></a><span class="lineno"> 153</span><span class="comment"> * operator overload to compare two numbers</span></div>
<div class="line"><a id="l00154" name="l00154"></a><span class="lineno"> 154</span><span class="comment"> **/</span></div>
<div class="foldopen" id="foldopen00155" data-start="{" data-end="};">
<div class="line"><a id="l00155" name="l00155"></a><span class="lineno"><a class="line" href="../../db/d82/classlarge__number.html#a7ba872b9a3ce1f3da6c06c5409663cca"> 155</a></span> <span class="keyword">friend</span> <span class="keywordtype">bool</span> <a class="code hl_friend" href="../../db/d82/classlarge__number.html#a7ba872b9a3ce1f3da6c06c5409663cca">operator==</a>(<a class="code hl_class" href="../../db/d82/classlarge__number.html">large_number</a> <span class="keyword">const</span> &amp;a, <a class="code hl_class" href="../../db/d82/classlarge__number.html">large_number</a> <span class="keyword">const</span> &amp;b) {</div>
<div class="line"><a id="l00156" name="l00156"></a><span class="lineno"> 156</span> <span class="keywordtype">size_t</span> N = a.num_digits();</div>
<div class="line"><a id="l00157" name="l00157"></a><span class="lineno"> 157</span> <span class="keywordflow">if</span> (N != b.<a class="code hl_function" href="../../db/d82/classlarge__number.html#ac09a05ec4aafb4d9e0b4440d6f0e2a93">num_digits</a>())</div>
<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; N; 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>
<div class="line"><a id="l00164" name="l00164"></a><span class="lineno"> 164</span><span class="comment"></span> </div>
<div class="line"><a id="l00165" name="l00165"></a><span class="lineno"> 165</span><span class="comment"> /**</span></div>
<div class="line"><a id="l00166" name="l00166"></a><span class="lineno"> 166</span><span class="comment"> * operator overload to compare two numbers</span></div>
<div class="line"><a id="l00167" name="l00167"></a><span class="lineno"> 167</span><span class="comment"> **/</span></div>
<div class="foldopen" id="foldopen00168" data-start="{" data-end="};">
<div class="line"><a id="l00168" name="l00168"></a><span class="lineno"><a class="line" href="../../db/d82/classlarge__number.html#a72ae1ef050c4c28c50952ecab22d4b94"> 168</a></span> <span class="keyword">friend</span> <span class="keywordtype">bool</span> <a class="code hl_friend" href="../../db/d82/classlarge__number.html#a72ae1ef050c4c28c50952ecab22d4b94">operator!=</a>(<a class="code hl_class" href="../../db/d82/classlarge__number.html">large_number</a> <span class="keyword">const</span> &amp;a, <a class="code hl_class" href="../../db/d82/classlarge__number.html">large_number</a> <span class="keyword">const</span> &amp;b) {</div>
<div class="line"><a id="l00169" name="l00169"></a><span class="lineno"> 169</span> <span class="keywordflow">return</span> !(a == b);</div>
<div class="line"><a id="l00170" name="l00170"></a><span class="lineno"> 170</span> }</div>
</div>
<div class="line"><a id="l00171" name="l00171"></a><span class="lineno"> 171</span><span class="comment"></span> </div>
<div class="line"><a id="l00172" name="l00172"></a><span class="lineno"> 172</span><span class="comment"> /**</span></div>
<div class="line"><a id="l00173" name="l00173"></a><span class="lineno"> 173</span><span class="comment"> * operator overload to increment (prefix)</span></div>
<div class="line"><a id="l00174" name="l00174"></a><span class="lineno"> 174</span><span class="comment"> **/</span></div>
<div class="foldopen" id="foldopen00175" data-start="{" data-end="}">
<div class="line"><a id="l00175" name="l00175"></a><span class="lineno"><a class="line" href="../../db/d82/classlarge__number.html#a4757697b1f7584b69e779a72abc4ae2a"> 175</a></span> <a class="code hl_class" href="../../db/d82/classlarge__number.html">large_number</a> &amp;<a class="code hl_function" href="../../db/d82/classlarge__number.html#a4757697b1f7584b69e779a72abc4ae2a">operator++</a>() {</div>
<div class="line"><a id="l00176" name="l00176"></a><span class="lineno"> 176</span> (*this) += 1;</div>
<div class="line"><a id="l00177" name="l00177"></a><span class="lineno"> 177</span> <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a id="l00178" name="l00178"></a><span class="lineno"> 178</span> }</div>
</div>
<div class="line"><a id="l00179" name="l00179"></a><span class="lineno"> 179</span><span class="comment"></span> </div>
<div class="line"><a id="l00180" name="l00180"></a><span class="lineno"> 180</span><span class="comment"> /**</span></div>
<div class="line"><a id="l00181" name="l00181"></a><span class="lineno"> 181</span><span class="comment"> * operator overload to increment (postfix)</span></div>
<div class="line"><a id="l00182" name="l00182"></a><span class="lineno"> 182</span><span class="comment"> **/</span></div>
<div class="foldopen" id="foldopen00183" data-start="{" data-end="}">
<div class="line"><a id="l00183" name="l00183"></a><span class="lineno"><a class="line" href="../../db/d82/classlarge__number.html#a8d4364ee5a62964451d8cfee82649687"> 183</a></span> <a class="code hl_class" href="../../db/d82/classlarge__number.html">large_number</a> &amp;<a class="code hl_function" href="../../db/d82/classlarge__number.html#a8d4364ee5a62964451d8cfee82649687">operator++</a>(<span class="keywordtype">int</span>) {</div>
<div class="line"><a id="l00184" name="l00184"></a><span class="lineno"> 184</span> <span class="keyword">static</span> <a class="code hl_class" href="../../db/d82/classlarge__number.html">large_number</a> tmp(<a class="code hl_variable" href="../../db/d82/classlarge__number.html#af2b3ec9c35842d3a46ac7326f268af57">_digits</a>);</div>
<div class="line"><a id="l00185" name="l00185"></a><span class="lineno"> 185</span> ++(*this);</div>
<div class="line"><a id="l00186" name="l00186"></a><span class="lineno"> 186</span> <span class="keywordflow">return</span> tmp;</div>
<div class="line"><a id="l00187" name="l00187"></a><span class="lineno"> 187</span> }</div>
</div>
<div class="line"><a id="l00188" name="l00188"></a><span class="lineno"> 188</span><span class="comment"></span> </div>
<div class="line"><a id="l00189" name="l00189"></a><span class="lineno"> 189</span><span class="comment"> /**</span></div>
<div class="line"><a id="l00190" name="l00190"></a><span class="lineno"> 190</span><span class="comment"> * operator overload to add</span></div>
<div class="line"><a id="l00191" name="l00191"></a><span class="lineno"> 191</span><span class="comment"> **/</span></div>
<div class="foldopen" id="foldopen00192" data-start="{" data-end="}">
<div class="line"><a id="l00192" name="l00192"></a><span class="lineno"><a class="line" href="../../db/d82/classlarge__number.html#aab5644405094740e34983cedfecb36cf"> 192</a></span> <a class="code hl_class" href="../../db/d82/classlarge__number.html">large_number</a> &amp;<a class="code hl_function" href="../../db/d82/classlarge__number.html#aab5644405094740e34983cedfecb36cf">operator+=</a>(<a class="code hl_class" href="../../db/d82/classlarge__number.html">large_number</a> n) {</div>
<div class="line"><a id="l00193" name="l00193"></a><span class="lineno"> 193</span> <span class="comment">// if adding with another large_number</span></div>
<div class="line"><a id="l00194" name="l00194"></a><span class="lineno"> 194</span> <a class="code hl_class" href="../../db/d82/classlarge__number.html">large_number</a> *b = <span class="keyword">reinterpret_cast&lt;</span><a class="code hl_class" href="../../db/d82/classlarge__number.html">large_number</a> *<span class="keyword">&gt;</span>(&amp;n);</div>
<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>
<div class="line"><a id="l00211" name="l00211"></a><span class="lineno"> 211</span> </div>
<div class="line"><a id="l00212" name="l00212"></a><span class="lineno"> 212</span> <a class="code hl_class" href="../../db/d82/classlarge__number.html">large_number</a> &amp;<a class="code hl_function" href="../../db/d82/classlarge__number.html#aab5644405094740e34983cedfecb36cf">operator+=</a>(<span class="keywordtype">int</span> n) { <span class="keywordflow">return</span> (*<span class="keyword">this</span>) += <a class="code hl_function" href="../../db/d82/classlarge__number.html#a10119a83839e65962621b73df46a5337">large_number</a>(n); }</div>
<div class="line"><a id="l00213" name="l00213"></a><span class="lineno"> 213</span> <span class="comment">// large_number &amp;operator+=(uint64_t n) { return (*this) += large_number(n);</span></div>
<div class="line"><a id="l00214" name="l00214"></a><span class="lineno"> 214</span> <span class="comment">// }</span></div>
<div class="line"><a id="l00215" name="l00215"></a><span class="lineno"> 215</span><span class="comment"></span> </div>
<div class="line"><a id="l00216" name="l00216"></a><span class="lineno"> 216</span><span class="comment"> /**</span></div>
<div class="line"><a id="l00217" name="l00217"></a><span class="lineno"> 217</span><span class="comment"> * operator overload to perform addition</span></div>
<div class="line"><a id="l00218" name="l00218"></a><span class="lineno"> 218</span><span class="comment"> **/</span></div>
<div class="line"><a id="l00219" name="l00219"></a><span class="lineno"> 219</span> <span class="keyword">template</span> &lt;<span class="keyword">class</span> T&gt;</div>
<div class="foldopen" id="foldopen00220" data-start="{" data-end="};">
<div class="line"><a id="l00220" name="l00220"></a><span class="lineno"><a class="line" href="../../db/d82/classlarge__number.html#abbd52948bee1b16543f1dae19aa9dd46"> 220</a></span> <span class="keyword">friend</span> <a class="code hl_class" href="../../db/d82/classlarge__number.html">large_number</a> &amp;<a class="code hl_friend" href="../../db/d82/classlarge__number.html#abbd52948bee1b16543f1dae19aa9dd46">operator+</a>(<span class="keyword">const</span> <a class="code hl_class" href="../../db/d82/classlarge__number.html">large_number</a> &amp;a, <span class="keyword">const</span> T &amp;b) {</div>
<div class="line"><a id="l00221" name="l00221"></a><span class="lineno"> 221</span> <span class="keyword">static</span> <a class="code hl_class" href="../../db/d82/classlarge__number.html">large_number</a> c = a;</div>
<div class="line"><a id="l00222" name="l00222"></a><span class="lineno"> 222</span> c += b;</div>
<div class="line"><a id="l00223" name="l00223"></a><span class="lineno"> 223</span> <span class="keywordflow">return</span> c;</div>
<div class="line"><a id="l00224" name="l00224"></a><span class="lineno"> 224</span> }</div>
</div>
<div class="line"><a id="l00225" name="l00225"></a><span class="lineno"> 225</span><span class="comment"></span> </div>
<div class="line"><a id="l00226" name="l00226"></a><span class="lineno"> 226</span><span class="comment"> /**</span></div>
<div class="line"><a id="l00227" name="l00227"></a><span class="lineno"> 227</span><span class="comment"> * assignment operator</span></div>
<div class="line"><a id="l00228" name="l00228"></a><span class="lineno"> 228</span><span class="comment"> **/</span></div>
<div class="foldopen" id="foldopen00229" data-start="{" data-end="}">
<div class="line"><a id="l00229" name="l00229"></a><span class="lineno"><a class="line" href="../../db/d82/classlarge__number.html#ab84f29685709cbb3b6fd29b7b4a7bc7b"> 229</a></span> <a class="code hl_class" href="../../db/d82/classlarge__number.html">large_number</a> &amp;<a class="code hl_function" href="../../db/d82/classlarge__number.html#ab84f29685709cbb3b6fd29b7b4a7bc7b">operator=</a>(<span class="keyword">const</span> <a class="code hl_class" href="../../db/d82/classlarge__number.html">large_number</a> &amp;b) {</div>
<div class="line"><a id="l00230" name="l00230"></a><span class="lineno"> 230</span> this-&gt;<a class="code hl_variable" href="../../db/d82/classlarge__number.html#af2b3ec9c35842d3a46ac7326f268af57">_digits</a> = b.<a class="code hl_variable" href="../../db/d82/classlarge__number.html#af2b3ec9c35842d3a46ac7326f268af57">_digits</a>;</div>
<div class="line"><a id="l00231" name="l00231"></a><span class="lineno"> 231</span> <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a id="l00232" name="l00232"></a><span class="lineno"> 232</span> }</div>
</div>
<div class="line"><a id="l00233" name="l00233"></a><span class="lineno"> 233</span><span class="comment"></span> </div>
<div class="line"><a id="l00234" name="l00234"></a><span class="lineno"> 234</span><span class="comment"> /**</span></div>
<div class="line"><a id="l00235" name="l00235"></a><span class="lineno"> 235</span><span class="comment"> * operator overload to increment</span></div>
<div class="line"><a id="l00236" name="l00236"></a><span class="lineno"> 236</span><span class="comment"> **/</span></div>
<div class="line"><a id="l00237" name="l00237"></a><span class="lineno"> 237</span> <span class="keyword">template</span> &lt;<span class="keyword">class</span> T&gt;</div>
<div class="foldopen" id="foldopen00238" data-start="{" data-end="}">
<div class="line"><a id="l00238" name="l00238"></a><span class="lineno"><a class="line" href="../../db/d82/classlarge__number.html#a771e9b28cfddf1ad94668566e396e350"> 238</a></span> <a class="code hl_class" href="../../db/d82/classlarge__number.html">large_number</a> &amp;<a class="code hl_function" href="../../db/d82/classlarge__number.html#a771e9b28cfddf1ad94668566e396e350">operator*=</a>(<span class="keyword">const</span> T n) {</div>
<div class="line"><a id="l00239" name="l00239"></a><span class="lineno"> 239</span> <span class="keyword">static_assert</span>(<a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/types/is_integral.html">std::is_integral&lt;T&gt;::value</a>,</div>
<div class="line"><a id="l00240" name="l00240"></a><span class="lineno"> 240</span> <span class="stringliteral">&quot;Must be integer addition unsigned integer types.&quot;</span>);</div>
<div class="line"><a id="l00241" name="l00241"></a><span class="lineno"> 241</span> this-&gt;<a class="code hl_function" href="../../db/d82/classlarge__number.html#a2f5571e66305cf68bb8283e4aeda58bc">multiply</a>(n);</div>
<div class="line"><a id="l00242" name="l00242"></a><span class="lineno"> 242</span> <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
<div class="line"><a id="l00243" name="l00243"></a><span class="lineno"> 243</span> }</div>
</div>
<div class="line"><a id="l00244" name="l00244"></a><span class="lineno"> 244</span><span class="comment"></span> </div>
<div class="line"><a id="l00245" name="l00245"></a><span class="lineno"> 245</span><span class="comment"> /**</span></div>
<div class="line"><a id="l00246" name="l00246"></a><span class="lineno"> 246</span><span class="comment"> * returns i^th digit as an ASCII character</span></div>
<div class="line"><a id="l00247" name="l00247"></a><span class="lineno"> 247</span><span class="comment"> **/</span></div>
<div class="foldopen" id="foldopen00248" data-start="{" data-end="}">
<div class="line"><a id="l00248" name="l00248"></a><span class="lineno"><a class="line" href="../../db/d82/classlarge__number.html#ae35a55607cf52c0b0d485f2129bd39ac"> 248</a></span> <span class="keywordtype">char</span> <a class="code hl_function" href="../../db/d82/classlarge__number.html#ae35a55607cf52c0b0d485f2129bd39ac">digit_char</a>(<span class="keywordtype">size_t</span> i)<span class="keyword"> const </span>{</div>
<div class="line"><a id="l00249" name="l00249"></a><span class="lineno"> 249</span> <span class="keywordflow">return</span> <a class="code hl_variable" href="../../db/d82/classlarge__number.html#af2b3ec9c35842d3a46ac7326f268af57">_digits</a>[<a class="code hl_function" href="../../db/d82/classlarge__number.html#ac09a05ec4aafb4d9e0b4440d6f0e2a93">num_digits</a>() - i - 1] + <span class="charliteral">&#39;0&#39;</span>;</div>
<div class="line"><a id="l00250" name="l00250"></a><span class="lineno"> 250</span> }</div>
</div>
<div class="line"><a id="l00251" name="l00251"></a><span class="lineno"> 251</span> </div>
<div class="line"><a id="l00252" name="l00252"></a><span class="lineno"> 252</span> <span class="keyword">private</span>:<span class="comment"></span></div>
<div class="line"><a id="l00253" name="l00253"></a><span class="lineno"> 253</span><span class="comment"> /**</span></div>
<div class="line"><a id="l00254" name="l00254"></a><span class="lineno"> 254</span><span class="comment"> * multiply large number with another integer and</span></div>
<div class="line"><a id="l00255" name="l00255"></a><span class="lineno"> 255</span><span class="comment"> * store the result in the same large number</span></div>
<div class="line"><a id="l00256" name="l00256"></a><span class="lineno"> 256</span><span class="comment"> **/</span></div>
<div class="line"><a id="l00257" name="l00257"></a><span class="lineno"> 257</span> <span class="keyword">template</span> &lt;<span class="keyword">class</span> T&gt;</div>
<div class="foldopen" id="foldopen00258" data-start="{" data-end="}">
<div class="line"><a id="l00258" name="l00258"></a><span class="lineno"><a class="line" href="../../db/d82/classlarge__number.html#a2f5571e66305cf68bb8283e4aeda58bc"> 258</a></span> <span class="keywordtype">void</span> <a class="code hl_function" href="../../db/d82/classlarge__number.html#a2f5571e66305cf68bb8283e4aeda58bc">multiply</a>(<span class="keyword">const</span> T n) {</div>
<div class="line"><a id="l00259" name="l00259"></a><span class="lineno"> 259</span> <span class="keyword">static_assert</span>(<a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/types/is_integral.html">std::is_integral&lt;T&gt;::value</a>,</div>
<div class="line"><a id="l00260" name="l00260"></a><span class="lineno"> 260</span> <span class="stringliteral">&quot;Can only have integer types.&quot;</span>);</div>
<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>
</div>
<div class="line"><a id="l00283" name="l00283"></a><span class="lineno"> 283</span> </div>
<div class="line"><a id="l00284" name="l00284"></a><span class="lineno"> 284</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;unsigned char&gt;</a></div>
<div class="line"><a id="l00285" name="l00285"></a><span class="lineno"><a class="line" href="../../db/d82/classlarge__number.html#af2b3ec9c35842d3a46ac7326f268af57"> 285</a></span> <a class="code hl_variable" href="../../db/d82/classlarge__number.html#af2b3ec9c35842d3a46ac7326f268af57">_digits</a>; <span class="comment">/**&lt; where individual digits are stored */</span></div>
<div class="line"><a id="l00286" name="l00286"></a><span class="lineno"> 286</span>};</div>
<div class="line"><a id="l00287" name="l00287"></a><span class="lineno"> 287</span> </div>
<div class="line"><a id="l00288" name="l00288"></a><span class="lineno"> 288</span><span class="preprocessor">#endif </span><span class="comment">// MATH_LARGE_NUMBER_H_</span></div>
</div>
</div>
</div>
<div class="ttc" id="abasic_ostream_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a></div></div>
<div class="ttc" id="aclasslarge__number_html"><div class="ttname"><a href="../../db/d82/classlarge__number.html">large_number</a></div><div class="ttdef"><b>Definition</b> large_number.h:24</div></div>
<div class="ttc" id="aclasslarge__number_html_a0b1efd203274e38a67b78937dfb9b872"><div class="ttname"><a href="../../db/d82/classlarge__number.html#a0b1efd203274e38a67b78937dfb9b872">large_number::large_number</a></div><div class="ttdeci">large_number(const large_number &amp;a)</div><div class="ttdef"><b>Definition</b> large_number.h:48</div></div>
<div class="ttc" id="aclasslarge__number_html_a10119a83839e65962621b73df46a5337"><div class="ttname"><a href="../../db/d82/classlarge__number.html#a10119a83839e65962621b73df46a5337">large_number::large_number</a></div><div class="ttdeci">large_number()</div><div class="ttdef"><b>Definition</b> large_number.h:27</div></div>
<div class="ttc" id="aclasslarge__number_html_a13282908dfc4888392ed3d1fc6aae492"><div class="ttname"><a href="../../db/d82/classlarge__number.html#a13282908dfc4888392ed3d1fc6aae492">large_number::operator&lt;&lt;</a></div><div class="ttdeci">friend std::ostream &amp; operator&lt;&lt;(std::ostream &amp;out, const large_number &amp;a)</div><div class="ttdef"><b>Definition</b> large_number.h:146</div></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>
<div class="ttc" id="aclasslarge__number_html_a4757697b1f7584b69e779a72abc4ae2a"><div class="ttname"><a href="../../db/d82/classlarge__number.html#a4757697b1f7584b69e779a72abc4ae2a">large_number::operator++</a></div><div class="ttdeci">large_number &amp; operator++()</div><div class="ttdef"><b>Definition</b> large_number.h:175</div></div>
<div class="ttc" id="aclasslarge__number_html_a60c436d1a1c5e3795d6177d3815ad615"><div class="ttname"><a href="../../db/d82/classlarge__number.html#a60c436d1a1c5e3795d6177d3815ad615">large_number::add_digit</a></div><div class="ttdeci">void add_digit(unsigned int value)</div><div class="ttdef"><b>Definition</b> large_number.h:118</div></div>
<div class="ttc" id="aclasslarge__number_html_a72ae1ef050c4c28c50952ecab22d4b94"><div class="ttname"><a href="../../db/d82/classlarge__number.html#a72ae1ef050c4c28c50952ecab22d4b94">large_number::operator!=</a></div><div class="ttdeci">friend bool operator!=(large_number const &amp;a, large_number const &amp;b)</div><div class="ttdef"><b>Definition</b> large_number.h:168</div></div>
<div class="ttc" id="aclasslarge__number_html_a76ddf1ed1b00fb8c107ea56f7f91e42f"><div class="ttname"><a href="../../db/d82/classlarge__number.html#a76ddf1ed1b00fb8c107ea56f7f91e42f">large_number::large_number</a></div><div class="ttdeci">large_number(std::vector&lt; unsigned char &gt; &amp;vec)</div><div class="ttdef"><b>Definition</b> large_number.h:51</div></div>
<div class="ttc" id="aclasslarge__number_html_a771e9b28cfddf1ad94668566e396e350"><div class="ttname"><a href="../../db/d82/classlarge__number.html#a771e9b28cfddf1ad94668566e396e350">large_number::operator*=</a></div><div class="ttdeci">large_number &amp; operator*=(const T n)</div><div class="ttdef"><b>Definition</b> large_number.h:238</div></div>
<div class="ttc" id="aclasslarge__number_html_a7ba872b9a3ce1f3da6c06c5409663cca"><div class="ttname"><a href="../../db/d82/classlarge__number.html#a7ba872b9a3ce1f3da6c06c5409663cca">large_number::operator==</a></div><div class="ttdeci">friend bool operator==(large_number const &amp;a, large_number const &amp;b)</div><div class="ttdef"><b>Definition</b> large_number.h:155</div></div>
<div class="ttc" id="aclasslarge__number_html_a8c381aa1ecc960cefd82ec72f59e0e08"><div class="ttname"><a href="../../db/d82/classlarge__number.html#a8c381aa1ecc960cefd82ec72f59e0e08">large_number::operator[]</a></div><div class="ttdeci">unsigned char &amp; operator[](size_t n)</div><div class="ttdef"><b>Definition</b> large_number.h:137</div></div>
<div class="ttc" id="aclasslarge__number_html_a8d4364ee5a62964451d8cfee82649687"><div class="ttname"><a href="../../db/d82/classlarge__number.html#a8d4364ee5a62964451d8cfee82649687">large_number::operator++</a></div><div class="ttdeci">large_number &amp; operator++(int)</div><div class="ttdef"><b>Definition</b> large_number.h:183</div></div>
<div class="ttc" id="aclasslarge__number_html_a959c5c1a982949bbf98e1ea0f9afe6a9"><div class="ttname"><a href="../../db/d82/classlarge__number.html#a959c5c1a982949bbf98e1ea0f9afe6a9">large_number::test</a></div><div class="ttdeci">static bool test()</div><div class="ttdef"><b>Definition</b> large_number.h:65</div></div>
<div class="ttc" id="aclasslarge__number_html_aab5644405094740e34983cedfecb36cf"><div class="ttname"><a href="../../db/d82/classlarge__number.html#aab5644405094740e34983cedfecb36cf">large_number::operator+=</a></div><div class="ttdeci">large_number &amp; operator+=(large_number n)</div><div class="ttdef"><b>Definition</b> large_number.h:192</div></div>
<div class="ttc" id="aclasslarge__number_html_ab84f29685709cbb3b6fd29b7b4a7bc7b"><div class="ttname"><a href="../../db/d82/classlarge__number.html#ab84f29685709cbb3b6fd29b7b4a7bc7b">large_number::operator=</a></div><div class="ttdeci">large_number &amp; operator=(const large_number &amp;b)</div><div class="ttdef"><b>Definition</b> large_number.h:229</div></div>
<div class="ttc" id="aclasslarge__number_html_abbd52948bee1b16543f1dae19aa9dd46"><div class="ttname"><a href="../../db/d82/classlarge__number.html#abbd52948bee1b16543f1dae19aa9dd46">large_number::operator+</a></div><div class="ttdeci">friend large_number &amp; operator+(const large_number &amp;a, const T &amp;b)</div><div class="ttdef"><b>Definition</b> large_number.h:220</div></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>
<div class="ttc" id="aclasslarge__number_html_ae35a55607cf52c0b0d485f2129bd39ac"><div class="ttname"><a href="../../db/d82/classlarge__number.html#ae35a55607cf52c0b0d485f2129bd39ac">large_number::digit_char</a></div><div class="ttdeci">char digit_char(size_t i) const</div><div class="ttdef"><b>Definition</b> large_number.h:248</div></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>
<div class="ttc" id="aclasslarge__number_html_af4598f1f2794b5e17e10c25e0501e41a"><div class="ttname"><a href="../../db/d82/classlarge__number.html#af4598f1f2794b5e17e10c25e0501e41a">large_number::large_number</a></div><div class="ttdeci">large_number(int n)</div><div class="ttdef"><b>Definition</b> large_number.h:39</div></div>
<div class="ttc" id="aendl_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a></div><div class="ttdeci">T endl(T... args)</div></div>
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