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<div class="title">large_number.h</div> </div>
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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 name="l00001"></a><span class="lineno"> 1</span> <span class="comment">/**</span></div>
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<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="comment"> * @file</span></div>
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<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="comment"> * @brief Library to perform arithmatic operations on arbitrarily large</span></div>
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<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="comment"> * numbers.</span></div>
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<div class="line"><a name="l00005"></a><span class="lineno"> 5</span> <span class="comment"> * \author [Krishna Vedala](https://github.com/kvedala)</span></div>
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<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment"> */</span></div>
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<div class="line"><a name="l00007"></a><span class="lineno"> 7</span>  </div>
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<div class="line"><a name="l00008"></a><span class="lineno"> 8</span> <span class="preprocessor">#ifndef MATH_LARGE_NUMBER_H_</span></div>
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<div class="line"><a name="l00009"></a><span class="lineno"> 9</span> <span class="preprocessor">#define MATH_LARGE_NUMBER_H_</span></div>
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<div class="line"><a name="l00010"></a><span class="lineno"> 10</span> <span class="preprocessor">#include <algorithm></span></div>
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<div class="line"><a name="l00011"></a><span class="lineno"> 11</span> <span class="preprocessor">#include <cassert></span></div>
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<div class="line"><a name="l00012"></a><span class="lineno"> 12</span> <span class="preprocessor">#include <cinttypes></span></div>
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<div class="line"><a name="l00013"></a><span class="lineno"> 13</span> <span class="preprocessor">#include <cstring></span></div>
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<div class="line"><a name="l00014"></a><span class="lineno"> 14</span> <span class="preprocessor">#include <iostream></span></div>
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<div class="line"><a name="l00015"></a><span class="lineno"> 15</span> <span class="preprocessor">#include <type_traits></span></div>
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<div class="line"><a name="l00016"></a><span class="lineno"> 16</span> <span class="preprocessor">#include <vector></span></div>
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<div class="line"><a name="l00017"></a><span class="lineno"> 17</span> <span class="comment"></span> </div>
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<div class="line"><a name="l00018"></a><span class="lineno"> 18</span> <span class="comment">/**</span></div>
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<div class="line"><a name="l00019"></a><span class="lineno"> 19</span> <span class="comment"> * Store large unsigned numbers as a C++ vector</span></div>
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<div class="line"><a name="l00020"></a><span class="lineno"> 20</span> <span class="comment"> * The class provides convenience functions to add a</span></div>
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<div class="line"><a name="l00021"></a><span class="lineno"> 21</span> <span class="comment"> * digit to the number, perform multiplication of</span></div>
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<div class="line"><a name="l00022"></a><span class="lineno"> 22</span> <span class="comment"> * large number with long unsigned integers.</span></div>
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<div class="line"><a name="l00023"></a><span class="lineno"> 23</span> <span class="comment"> **/</span></div>
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<div class="line"><a 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" href="../../db/d82/classlarge__number.html">large_number</a> {</div>
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<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>  <span class="keyword">public</span>:<span class="comment"></span></div>
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<div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="comment"> /**< initializer with value = 1 */</span></div>
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<div class="line"><a name="l00027"></a><span class="lineno"><a class="line" href="../../db/d82/classlarge__number.html#a10119a83839e65962621b73df46a5337"> 27</a></span>  <a class="code" href="../../db/d82/classlarge__number.html#a10119a83839e65962621b73df46a5337">large_number</a>() { <a class="code" href="../../db/d82/classlarge__number.html#af2b3ec9c35842d3a46ac7326f268af57">_digits</a>.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/push_back.html">push_back</a>(1); }</div>
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<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>  </div>
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<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>  <span class="comment">// /**< initializer from an integer */</span></div>
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<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>  <span class="comment">// explicit large_number(uint64_t n) {</span></div>
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<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  <span class="comment">// uint64_t carry = n;</span></div>
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<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>  <span class="comment">// do {</span></div>
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<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>  <span class="comment">// add_digit(carry % 10);</span></div>
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<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  <span class="comment">// carry /= 10;</span></div>
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<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  <span class="comment">// } while (carry != 0);</span></div>
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<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  <span class="comment">// }</span></div>
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<div class="line"><a name="l00037"></a><span class="lineno"> 37</span> <span class="comment"></span> </div>
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<div class="line"><a name="l00038"></a><span class="lineno"> 38</span> <span class="comment"> /**< initializer from an integer */</span></div>
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<div class="line"><a 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" href="../../db/d82/classlarge__number.html#af4598f1f2794b5e17e10c25e0501e41a">large_number</a>(<span class="keywordtype">int</span> n) {</div>
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<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>  <span class="keywordtype">int</span> carry = n;</div>
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<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  <span class="keywordflow">do</span> {</div>
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<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  <a class="code" href="../../db/d82/classlarge__number.html#a60c436d1a1c5e3795d6177d3815ad615">add_digit</a>(carry % 10);</div>
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<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  carry /= 10;</div>
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<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  } <span class="keywordflow">while</span> (carry != 0);</div>
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<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  }</div>
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<div class="line"><a name="l00046"></a><span class="lineno"> 46</span> <span class="comment"></span> </div>
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<div class="line"><a name="l00047"></a><span class="lineno"> 47</span> <span class="comment"> /**< initializer from another large_number */</span></div>
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<div class="line"><a name="l00048"></a><span class="lineno"><a class="line" href="../../db/d82/classlarge__number.html#a0b1efd203274e38a67b78937dfb9b872"> 48</a></span>  <a class="code" href="../../db/d82/classlarge__number.html#a0b1efd203274e38a67b78937dfb9b872">large_number</a>(<span class="keyword">const</span> <a class="code" href="../../db/d82/classlarge__number.html">large_number</a> &a) : <a class="code" href="../../db/d82/classlarge__number.html#af2b3ec9c35842d3a46ac7326f268af57">_digits</a>(a.<a class="code" href="../../db/d82/classlarge__number.html#af2b3ec9c35842d3a46ac7326f268af57">_digits</a>) {}</div>
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<div class="line"><a name="l00049"></a><span class="lineno"> 49</span> <span class="comment"></span> </div>
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<div class="line"><a name="l00050"></a><span class="lineno"> 50</span> <span class="comment"> /**< initializer from a vector */</span></div>
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<div class="line"><a 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" href="../../db/d82/classlarge__number.html#a76ddf1ed1b00fb8c107ea56f7f91e42f">large_number</a>(<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<unsigned char></a> &vec) : <a class="code" href="../../db/d82/classlarge__number.html#af2b3ec9c35842d3a46ac7326f268af57">_digits</a>(vec) {}</div>
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<div class="line"><a name="l00052"></a><span class="lineno"> 52</span> <span class="comment"></span> </div>
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<div class="line"><a name="l00053"></a><span class="lineno"> 53</span> <span class="comment"> /**< initializer from a string */</span></div>
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<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  <span class="keyword">explicit</span> <a class="code" href="../../db/d82/classlarge__number.html#a10119a83839e65962621b73df46a5337">large_number</a>(<span class="keywordtype">char</span> <span class="keyword">const</span> *number_str) {</div>
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<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = strlen(number_str); i > 0; i--) {</div>
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<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  <span class="keywordtype">char</span> a = number_str[i - 1] - <span class="charliteral">'0'</span>;</div>
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<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  <span class="keywordflow">if</span> (a >= 0 && a <= 9)</div>
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<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  <a class="code" href="../../db/d82/classlarge__number.html#af2b3ec9c35842d3a46ac7326f268af57">_digits</a>.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/push_back.html">push_back</a>(a);</div>
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<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  }</div>
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<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  }</div>
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<div class="line"><a name="l00061"></a><span class="lineno"> 61</span> <span class="comment"></span> </div>
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<div class="line"><a name="l00062"></a><span class="lineno"> 62</span> <span class="comment"> /**</span></div>
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<div class="line"><a name="l00063"></a><span class="lineno"> 63</span> <span class="comment"> * Function to check implementation</span></div>
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<div class="line"><a name="l00064"></a><span class="lineno"> 64</span> <span class="comment"> **/</span></div>
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<div class="line"><a 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" href="../../db/d82/classlarge__number.html#a959c5c1a982949bbf98e1ea0f9afe6a9">test</a>() {</div>
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<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"------ Checking `large_number` class implementations\t"</span></div>
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<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  << <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  <a class="code" href="../../db/d82/classlarge__number.html">large_number</a> a(40);</div>
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<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  <span class="comment">// 1. test multiplication</span></div>
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<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  a *= 10;</div>
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<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  <span class="keywordflow">if</span> (a != <a class="code" href="../../db/d82/classlarge__number.html#a10119a83839e65962621b73df46a5337">large_number</a>(400)) {</div>
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<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cerr</a> << <span class="stringliteral">"\tFailed 1/6 ("</span> << a << <span class="stringliteral">"!=400)"</span> << <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
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<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  }</div>
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<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"\tPassed 1/6..."</span>;</div>
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<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  <span class="comment">// 2. test compound addition with integer</span></div>
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<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  a += 120;</div>
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<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  <span class="keywordflow">if</span> (a != <a class="code" href="../../db/d82/classlarge__number.html#a10119a83839e65962621b73df46a5337">large_number</a>(520)) {</div>
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<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cerr</a> << <span class="stringliteral">"\tFailed 2/6 ("</span> << a << <span class="stringliteral">"!=520)"</span> << <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
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<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  }</div>
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<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"\tPassed 2/6..."</span>;</div>
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<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  <span class="comment">// 3. test compound multiplication again</span></div>
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<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  a *= 10;</div>
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<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  <span class="keywordflow">if</span> (a != <a class="code" href="../../db/d82/classlarge__number.html#a10119a83839e65962621b73df46a5337">large_number</a>(5200)) {</div>
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<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cerr</a> << <span class="stringliteral">"\tFailed 3/6 ("</span> << a << <span class="stringliteral">"!=5200)"</span> << <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
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<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  }</div>
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<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"\tPassed 3/6..."</span>;</div>
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|
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  <span class="comment">// 4. test increment (prefix)</span></div>
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<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  ++a;</div>
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<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  <span class="keywordflow">if</span> (a != <a class="code" href="../../db/d82/classlarge__number.html#a10119a83839e65962621b73df46a5337">large_number</a>(5201)) {</div>
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|
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cerr</a> << <span class="stringliteral">"\tFailed 4/6 ("</span> << a << <span class="stringliteral">"!=5201)"</span> << <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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|
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
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<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  }</div>
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<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"\tPassed 4/6..."</span>;</div>
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|
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  <span class="comment">// 5. test increment (postfix)</span></div>
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<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  a++;</div>
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<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  <span class="keywordflow">if</span> (a != <a class="code" href="../../db/d82/classlarge__number.html#a10119a83839e65962621b73df46a5337">large_number</a>(5202)) {</div>
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|
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cerr</a> << <span class="stringliteral">"\tFailed 5/6 ("</span> << a << <span class="stringliteral">"!=5202)"</span> << <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
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<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  }</div>
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<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"\tPassed 5/6..."</span>;</div>
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<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  <span class="comment">// 6. test addition with another large number</span></div>
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<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  a = a + <a class="code" href="../../db/d82/classlarge__number.html#a10119a83839e65962621b73df46a5337">large_number</a>(<span class="stringliteral">"7000000000000000000000000000000"</span>);</div>
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<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  <span class="keywordflow">if</span> (a != <a class="code" href="../../db/d82/classlarge__number.html#a10119a83839e65962621b73df46a5337">large_number</a>(<span class="stringliteral">"7000000000000000000000000005202"</span>)) {</div>
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|
<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cerr</a> << <span class="stringliteral">"\tFailed 6/6 ("</span> << a</div>
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|
<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  << <span class="stringliteral">"!=7000000000000000000000000005202)"</span> << <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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|
<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
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<div class="line"><a name="l00110"></a><span class="lineno"> 110</span>  }</div>
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<div class="line"><a name="l00111"></a><span class="lineno"> 111</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"\tPassed 6/6..."</span> << <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
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<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  }</div>
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<div class="line"><a name="l00114"></a><span class="lineno"> 114</span> <span class="comment"></span> </div>
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<div class="line"><a name="l00115"></a><span class="lineno"> 115</span> <span class="comment"> /**</span></div>
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<div class="line"><a name="l00116"></a><span class="lineno"> 116</span> <span class="comment"> * add a digit at MSB to the large number</span></div>
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<div class="line"><a name="l00117"></a><span class="lineno"> 117</span> <span class="comment"> **/</span></div>
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<div class="line"><a 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" href="../../db/d82/classlarge__number.html#a60c436d1a1c5e3795d6177d3815ad615">add_digit</a>(<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> value) {</div>
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<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  <span class="keywordflow">if</span> (value > 9) {</div>
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|
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cerr</a> << <span class="stringliteral">"digit > 9!!\n"</span>;</div>
|
|
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  exit(EXIT_FAILURE);</div>
|
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<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  }</div>
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<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  </div>
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<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  <a class="code" href="../../db/d82/classlarge__number.html#af2b3ec9c35842d3a46ac7326f268af57">_digits</a>.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/push_back.html">push_back</a>(value);</div>
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|
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  }</div>
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<div class="line"><a name="l00126"></a><span class="lineno"> 126</span> <span class="comment"></span> </div>
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<div class="line"><a name="l00127"></a><span class="lineno"> 127</span> <span class="comment"> /**</span></div>
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<div class="line"><a name="l00128"></a><span class="lineno"> 128</span> <span class="comment"> * Get number of digits in the number</span></div>
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|
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span> <span class="comment"> **/</span></div>
|
|
<div class="line"><a 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" href="../../db/d82/classlarge__number.html#ac09a05ec4aafb4d9e0b4440d6f0e2a93">num_digits</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> <a class="code" href="../../db/d82/classlarge__number.html#af2b3ec9c35842d3a46ac7326f268af57">_digits</a>.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>(); }</div>
|
|
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span> <span class="comment"></span> </div>
|
|
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span> <span class="comment"> /**</span></div>
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<div class="line"><a name="l00133"></a><span class="lineno"> 133</span> <span class="comment"> * operator over load to access the</span></div>
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<div class="line"><a name="l00134"></a><span class="lineno"> 134</span> <span class="comment"> * i^th digit conveniently and also</span></div>
|
|
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span> <span class="comment"> * assign value to it</span></div>
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|
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span> <span class="comment"> **/</span></div>
|
|
<div class="line"><a name="l00137"></a><span class="lineno"><a class="line" href="../../db/d82/classlarge__number.html#ace19126cf343a09efc0010735f6e3a8d"> 137</a></span>  <span class="keyword">inline</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">char</span> &<a class="code" href="../../db/d82/classlarge__number.html#ace19126cf343a09efc0010735f6e3a8d">operator[]</a>(<span class="keywordtype">size_t</span> n) { <span class="keywordflow">return</span> this-><a class="code" href="../../db/d82/classlarge__number.html#af2b3ec9c35842d3a46ac7326f268af57">_digits</a>[n]; }</div>
|
|
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  </div>
|
|
<div class="line"><a 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> &<a class="code" href="../../db/d82/classlarge__number.html#ace19126cf343a09efc0010735f6e3a8d">operator[]</a>(<span class="keywordtype">size_t</span> n)<span class="keyword"> const </span>{</div>
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|
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  <span class="keywordflow">return</span> this-><a class="code" href="../../db/d82/classlarge__number.html#af2b3ec9c35842d3a46ac7326f268af57">_digits</a>[n];</div>
|
|
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  }</div>
|
|
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span> <span class="comment"></span> </div>
|
|
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span> <span class="comment"> /**</span></div>
|
|
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span> <span class="comment"> * operator overload to compare two numbers</span></div>
|
|
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span> <span class="comment"> **/</span></div>
|
|
<div class="line"><a name="l00146"></a><span class="lineno"><a class="line" href="../../db/d82/classlarge__number.html#a778428c4761b6ea5e7770743f0eab5ab"> 146</a></span>  <span class="keyword">friend</span> <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::ostream</a> &<a class="code" href="../../db/d82/classlarge__number.html#a778428c4761b6ea5e7770743f0eab5ab">operator<<</a>(<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::ostream</a> &out, <span class="keyword">const</span> <a class="code" href="../../db/d82/classlarge__number.html">large_number</a> &a) {</div>
|
|
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = a.num_digits(); i > 0; i--)</div>
|
|
<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  out << static_cast<int>(a[i - 1]);</div>
|
|
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  <span class="keywordflow">return</span> out;</div>
|
|
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  }</div>
|
|
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span> <span class="comment"></span> </div>
|
|
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span> <span class="comment"> /**</span></div>
|
|
<div class="line"><a name="l00153"></a><span class="lineno"> 153</span> <span class="comment"> * operator overload to compare two numbers</span></div>
|
|
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span> <span class="comment"> **/</span></div>
|
|
<div class="line"><a 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" href="../../db/d82/classlarge__number.html#a7ba872b9a3ce1f3da6c06c5409663cca">operator==</a>(<a class="code" href="../../db/d82/classlarge__number.html">large_number</a> <span class="keyword">const</span> &a, <a class="code" href="../../db/d82/classlarge__number.html">large_number</a> <span class="keyword">const</span> &b) {</div>
|
|
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>  <span class="keywordtype">size_t</span> N = a.num_digits();</div>
|
|
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  <span class="keywordflow">if</span> (N != b.<a class="code" href="../../db/d82/classlarge__number.html#ac09a05ec4aafb4d9e0b4440d6f0e2a93">num_digits</a>())</div>
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|
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
|
|
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i < N; i++)</div>
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|
<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  <span class="keywordflow">if</span> (a[i] != b[i])</div>
|
|
<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
|
|
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
|
|
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>  }</div>
|
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<div class="line"><a name="l00164"></a><span class="lineno"> 164</span> <span class="comment"></span> </div>
|
|
<div class="line"><a name="l00165"></a><span class="lineno"> 165</span> <span class="comment"> /**</span></div>
|
|
<div class="line"><a name="l00166"></a><span class="lineno"> 166</span> <span class="comment"> * operator overload to compare two numbers</span></div>
|
|
<div class="line"><a name="l00167"></a><span class="lineno"> 167</span> <span class="comment"> **/</span></div>
|
|
<div class="line"><a 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" href="../../db/d82/classlarge__number.html#a72ae1ef050c4c28c50952ecab22d4b94">operator!=</a>(<a class="code" href="../../db/d82/classlarge__number.html">large_number</a> <span class="keyword">const</span> &a, <a class="code" href="../../db/d82/classlarge__number.html">large_number</a> <span class="keyword">const</span> &b) {</div>
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|
<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>  <span class="keywordflow">return</span> !(a == b);</div>
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|
<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>  }</div>
|
|
<div class="line"><a name="l00171"></a><span class="lineno"> 171</span> <span class="comment"></span> </div>
|
|
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span> <span class="comment"> /**</span></div>
|
|
<div class="line"><a name="l00173"></a><span class="lineno"> 173</span> <span class="comment"> * operator overload to increment (prefix)</span></div>
|
|
<div class="line"><a name="l00174"></a><span class="lineno"> 174</span> <span class="comment"> **/</span></div>
|
|
<div class="line"><a name="l00175"></a><span class="lineno"><a class="line" href="../../db/d82/classlarge__number.html#a622d84883180ff42f04955909adea5a9"> 175</a></span>  <a class="code" href="../../db/d82/classlarge__number.html">large_number</a> &<a class="code" href="../../db/d82/classlarge__number.html#a622d84883180ff42f04955909adea5a9">operator++</a>() {</div>
|
|
<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>  (*this) += 1;</div>
|
|
<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>  <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
|
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<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>  }</div>
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<div class="line"><a name="l00179"></a><span class="lineno"> 179</span> <span class="comment"></span> </div>
|
|
<div class="line"><a name="l00180"></a><span class="lineno"> 180</span> <span class="comment"> /**</span></div>
|
|
<div class="line"><a name="l00181"></a><span class="lineno"> 181</span> <span class="comment"> * operator overload to increment (postfix)</span></div>
|
|
<div class="line"><a name="l00182"></a><span class="lineno"> 182</span> <span class="comment"> **/</span></div>
|
|
<div class="line"><a name="l00183"></a><span class="lineno"><a class="line" href="../../db/d82/classlarge__number.html#ac4fafa6289295419d48d444f0ae4b706"> 183</a></span>  <a class="code" href="../../db/d82/classlarge__number.html">large_number</a> &<a class="code" href="../../db/d82/classlarge__number.html#ac4fafa6289295419d48d444f0ae4b706">operator++</a>(<span class="keywordtype">int</span>) {</div>
|
|
<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>  <span class="keyword">static</span> <a class="code" href="../../db/d82/classlarge__number.html">large_number</a> tmp(<a class="code" href="../../db/d82/classlarge__number.html#af2b3ec9c35842d3a46ac7326f268af57">_digits</a>);</div>
|
|
<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>  ++(*this);</div>
|
|
<div class="line"><a name="l00186"></a><span class="lineno"> 186</span>  <span class="keywordflow">return</span> tmp;</div>
|
|
<div class="line"><a name="l00187"></a><span class="lineno"> 187</span>  }</div>
|
|
<div class="line"><a name="l00188"></a><span class="lineno"> 188</span> <span class="comment"></span> </div>
|
|
<div class="line"><a name="l00189"></a><span class="lineno"> 189</span> <span class="comment"> /**</span></div>
|
|
<div class="line"><a name="l00190"></a><span class="lineno"> 190</span> <span class="comment"> * operator overload to add</span></div>
|
|
<div class="line"><a name="l00191"></a><span class="lineno"> 191</span> <span class="comment"> **/</span></div>
|
|
<div class="line"><a name="l00192"></a><span class="lineno"><a class="line" href="../../db/d82/classlarge__number.html#ac27b399ed872731758ec33ebb102730e"> 192</a></span>  <a class="code" href="../../db/d82/classlarge__number.html">large_number</a> &<a class="code" href="../../db/d82/classlarge__number.html#ac27b399ed872731758ec33ebb102730e">operator+=</a>(<a class="code" href="../../db/d82/classlarge__number.html">large_number</a> n) {</div>
|
|
<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>  <span class="comment">// if adding with another large_number</span></div>
|
|
<div class="line"><a name="l00194"></a><span class="lineno"> 194</span>  <a class="code" href="../../db/d82/classlarge__number.html">large_number</a> *b = <span class="keyword">reinterpret_cast<</span><a class="code" href="../../db/d82/classlarge__number.html">large_number</a> *<span class="keyword">></span>(&n);</div>
|
|
<div class="line"><a name="l00195"></a><span class="lineno"> 195</span>  <span class="keyword">const</span> <span class="keywordtype">size_t</span> max_L = <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/max.html">std::max</a>(this-><a class="code" href="../../db/d82/classlarge__number.html#ac09a05ec4aafb4d9e0b4440d6f0e2a93">num_digits</a>(), b-><a class="code" href="../../db/d82/classlarge__number.html#ac09a05ec4aafb4d9e0b4440d6f0e2a93">num_digits</a>());</div>
|
|
<div class="line"><a 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 name="l00197"></a><span class="lineno"> 197</span>  <span class="keywordtype">size_t</span> i;</div>
|
|
<div class="line"><a name="l00198"></a><span class="lineno"> 198</span>  <span class="keywordflow">for</span> (i = 0; i < max_L || carry != 0; i++) {</div>
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<div class="line"><a name="l00199"></a><span class="lineno"> 199</span>  <span class="keywordflow">if</span> (i < b-><a class="code" href="../../db/d82/classlarge__number.html#ac09a05ec4aafb4d9e0b4440d6f0e2a93">num_digits</a>())</div>
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<div class="line"><a name="l00200"></a><span class="lineno"> 200</span>  carry += (*b)[i];</div>
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<div class="line"><a name="l00201"></a><span class="lineno"> 201</span>  <span class="keywordflow">if</span> (i < this-><a class="code" href="../../db/d82/classlarge__number.html#ac09a05ec4aafb4d9e0b4440d6f0e2a93">num_digits</a>())</div>
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<div class="line"><a name="l00202"></a><span class="lineno"> 202</span>  carry += (*this)[i];</div>
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<div class="line"><a name="l00203"></a><span class="lineno"> 203</span>  <span class="keywordflow">if</span> (i < this-><a class="code" href="../../db/d82/classlarge__number.html#ac09a05ec4aafb4d9e0b4440d6f0e2a93">num_digits</a>())</div>
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<div class="line"><a name="l00204"></a><span class="lineno"> 204</span>  (*this)[i] = carry % 10;</div>
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<div class="line"><a name="l00205"></a><span class="lineno"> 205</span>  <span class="keywordflow">else</span></div>
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<div class="line"><a name="l00206"></a><span class="lineno"> 206</span>  this-><a class="code" href="../../db/d82/classlarge__number.html#a60c436d1a1c5e3795d6177d3815ad615">add_digit</a>(carry % 10);</div>
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<div class="line"><a name="l00207"></a><span class="lineno"> 207</span>  carry /= 10;</div>
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<div class="line"><a name="l00208"></a><span class="lineno"> 208</span>  }</div>
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<div class="line"><a name="l00209"></a><span class="lineno"> 209</span>  <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
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<div class="line"><a name="l00210"></a><span class="lineno"> 210</span>  }</div>
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<div class="line"><a name="l00211"></a><span class="lineno"> 211</span>  </div>
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<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>  <a class="code" href="../../db/d82/classlarge__number.html">large_number</a> &<a class="code" href="../../db/d82/classlarge__number.html#ac27b399ed872731758ec33ebb102730e">operator+=</a>(<span class="keywordtype">int</span> n) { <span class="keywordflow">return</span> (*<span class="keyword">this</span>) += <a class="code" href="../../db/d82/classlarge__number.html#a10119a83839e65962621b73df46a5337">large_number</a>(n); }</div>
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<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>  <span class="comment">// large_number &operator+=(uint64_t n) { return (*this) += large_number(n);</span></div>
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<div class="line"><a name="l00214"></a><span class="lineno"> 214</span>  <span class="comment">// }</span></div>
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<div class="line"><a name="l00215"></a><span class="lineno"> 215</span> <span class="comment"></span> </div>
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<div class="line"><a name="l00216"></a><span class="lineno"> 216</span> <span class="comment"> /**</span></div>
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<div class="line"><a name="l00217"></a><span class="lineno"> 217</span> <span class="comment"> * operator overload to perform addition</span></div>
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<div class="line"><a name="l00218"></a><span class="lineno"> 218</span> <span class="comment"> **/</span></div>
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<div class="line"><a name="l00219"></a><span class="lineno"> 219</span>  <span class="keyword">template</span> <<span class="keyword">class</span> T></div>
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<div class="line"><a name="l00220"></a><span class="lineno"><a class="line" href="../../db/d82/classlarge__number.html#a70d23d67535e67030db570e56c00e16d"> 220</a></span>  <span class="keyword">friend</span> <a class="code" href="../../db/d82/classlarge__number.html">large_number</a> &<a class="code" href="../../db/d82/classlarge__number.html#a70d23d67535e67030db570e56c00e16d">operator+</a>(<span class="keyword">const</span> <a class="code" href="../../db/d82/classlarge__number.html">large_number</a> &a, <span class="keyword">const</span> T &b) {</div>
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<div class="line"><a name="l00221"></a><span class="lineno"> 221</span>  <span class="keyword">static</span> <a class="code" href="../../db/d82/classlarge__number.html">large_number</a> c = a;</div>
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<div class="line"><a name="l00222"></a><span class="lineno"> 222</span>  c += b;</div>
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<div class="line"><a name="l00223"></a><span class="lineno"> 223</span>  <span class="keywordflow">return</span> c;</div>
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<div class="line"><a name="l00224"></a><span class="lineno"> 224</span>  }</div>
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<div class="line"><a name="l00225"></a><span class="lineno"> 225</span> <span class="comment"></span> </div>
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<div class="line"><a name="l00226"></a><span class="lineno"> 226</span> <span class="comment"> /**</span></div>
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<div class="line"><a name="l00227"></a><span class="lineno"> 227</span> <span class="comment"> * assignment operator</span></div>
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<div class="line"><a name="l00228"></a><span class="lineno"> 228</span> <span class="comment"> **/</span></div>
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<div class="line"><a name="l00229"></a><span class="lineno"><a class="line" href="../../db/d82/classlarge__number.html#aeb22d2aae39d1b1e0bd39c7f47b333eb"> 229</a></span>  <a class="code" href="../../db/d82/classlarge__number.html">large_number</a> &<a class="code" href="../../db/d82/classlarge__number.html#aeb22d2aae39d1b1e0bd39c7f47b333eb">operator=</a>(<span class="keyword">const</span> <a class="code" href="../../db/d82/classlarge__number.html">large_number</a> &b) {</div>
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<div class="line"><a name="l00230"></a><span class="lineno"> 230</span>  this-><a class="code" href="../../db/d82/classlarge__number.html#af2b3ec9c35842d3a46ac7326f268af57">_digits</a> = b.<a class="code" href="../../db/d82/classlarge__number.html#af2b3ec9c35842d3a46ac7326f268af57">_digits</a>;</div>
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<div class="line"><a name="l00231"></a><span class="lineno"> 231</span>  <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
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<div class="line"><a name="l00232"></a><span class="lineno"> 232</span>  }</div>
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<div class="line"><a name="l00233"></a><span class="lineno"> 233</span> <span class="comment"></span> </div>
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<div class="line"><a name="l00234"></a><span class="lineno"> 234</span> <span class="comment"> /**</span></div>
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<div class="line"><a name="l00235"></a><span class="lineno"> 235</span> <span class="comment"> * operator overload to increment</span></div>
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<div class="line"><a name="l00236"></a><span class="lineno"> 236</span> <span class="comment"> **/</span></div>
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<div class="line"><a name="l00237"></a><span class="lineno"> 237</span>  <span class="keyword">template</span> <<span class="keyword">class</span> T></div>
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<div class="line"><a name="l00238"></a><span class="lineno"><a class="line" href="../../db/d82/classlarge__number.html#ab1af3e0f425cdf7ea2039c9dcfe22f0b"> 238</a></span>  <a class="code" href="../../db/d82/classlarge__number.html">large_number</a> &<a class="code" href="../../db/d82/classlarge__number.html#ab1af3e0f425cdf7ea2039c9dcfe22f0b">operator*=</a>(<span class="keyword">const</span> T n) {</div>
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<div class="line"><a name="l00239"></a><span class="lineno"> 239</span>  static_assert(<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/types/is_integral.html">std::is_integral<T>::value</a>,</div>
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<div class="line"><a name="l00240"></a><span class="lineno"> 240</span>  <span class="stringliteral">"Must be integer addition unsigned integer types."</span>);</div>
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<div class="line"><a name="l00241"></a><span class="lineno"> 241</span>  this-><a class="code" href="../../db/d82/classlarge__number.html#a2f5571e66305cf68bb8283e4aeda58bc">multiply</a>(n);</div>
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<div class="line"><a name="l00242"></a><span class="lineno"> 242</span>  <span class="keywordflow">return</span> *<span class="keyword">this</span>;</div>
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<div class="line"><a name="l00243"></a><span class="lineno"> 243</span>  }</div>
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<div class="line"><a name="l00244"></a><span class="lineno"> 244</span> <span class="comment"></span> </div>
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<div class="line"><a name="l00245"></a><span class="lineno"> 245</span> <span class="comment"> /**</span></div>
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<div class="line"><a name="l00246"></a><span class="lineno"> 246</span> <span class="comment"> * returns i^th digit as an ASCII character</span></div>
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<div class="line"><a name="l00247"></a><span class="lineno"> 247</span> <span class="comment"> **/</span></div>
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<div class="line"><a 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" href="../../db/d82/classlarge__number.html#ae35a55607cf52c0b0d485f2129bd39ac">digit_char</a>(<span class="keywordtype">size_t</span> i)<span class="keyword"> const </span>{</div>
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<div class="line"><a name="l00249"></a><span class="lineno"> 249</span>  <span class="keywordflow">return</span> <a class="code" href="../../db/d82/classlarge__number.html#af2b3ec9c35842d3a46ac7326f268af57">_digits</a>[<a class="code" href="../../db/d82/classlarge__number.html#ac09a05ec4aafb4d9e0b4440d6f0e2a93">num_digits</a>() - i - 1] + <span class="charliteral">'0'</span>;</div>
|
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<div class="line"><a name="l00250"></a><span class="lineno"> 250</span>  }</div>
|
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<div class="line"><a name="l00251"></a><span class="lineno"> 251</span>  </div>
|
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<div class="line"><a name="l00252"></a><span class="lineno"> 252</span>  <span class="keyword">private</span>:<span class="comment"></span></div>
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<div class="line"><a name="l00253"></a><span class="lineno"> 253</span> <span class="comment"> /**</span></div>
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<div class="line"><a name="l00254"></a><span class="lineno"> 254</span> <span class="comment"> * multiply large number with another integer and</span></div>
|
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<div class="line"><a name="l00255"></a><span class="lineno"> 255</span> <span class="comment"> * store the result in the same large number</span></div>
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<div class="line"><a name="l00256"></a><span class="lineno"> 256</span> <span class="comment"> **/</span></div>
|
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<div class="line"><a name="l00257"></a><span class="lineno"> 257</span>  <span class="keyword">template</span> <<span class="keyword">class</span> T></div>
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<div class="line"><a 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" href="../../db/d82/classlarge__number.html#a2f5571e66305cf68bb8283e4aeda58bc">multiply</a>(<span class="keyword">const</span> T n) {</div>
|
|
<div class="line"><a name="l00259"></a><span class="lineno"> 259</span>  static_assert(<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/types/is_integral.html">std::is_integral<T>::value</a>,</div>
|
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<div class="line"><a name="l00260"></a><span class="lineno"> 260</span>  <span class="stringliteral">"Can only have integer types."</span>);</div>
|
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<div class="line"><a name="l00261"></a><span class="lineno"> 261</span>  <span class="comment">// assert(!(std::is_signed<T>::value)); //, "Implemented only for</span></div>
|
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<div class="line"><a name="l00262"></a><span class="lineno"> 262</span>  <span class="comment">// unsigned integer types.");</span></div>
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<div class="line"><a name="l00263"></a><span class="lineno"> 263</span>  </div>
|
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<div class="line"><a name="l00264"></a><span class="lineno"> 264</span>  <span class="keywordtype">size_t</span> i;</div>
|
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<div class="line"><a name="l00265"></a><span class="lineno"> 265</span>  uint64_t carry = 0, temp;</div>
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<div class="line"><a name="l00266"></a><span class="lineno"> 266</span>  <span class="keywordflow">for</span> (i = 0; i < this-><a class="code" href="../../db/d82/classlarge__number.html#ac09a05ec4aafb4d9e0b4440d6f0e2a93">num_digits</a>(); i++) {</div>
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|
<div class="line"><a name="l00267"></a><span class="lineno"> 267</span>  temp = <span class="keyword">static_cast<</span>uint64_t<span class="keyword">></span>((*this)[i]) * n;</div>
|
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<div class="line"><a name="l00268"></a><span class="lineno"> 268</span>  temp += carry;</div>
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<div class="line"><a name="l00269"></a><span class="lineno"> 269</span>  <span class="keywordflow">if</span> (temp < 10) {</div>
|
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<div class="line"><a name="l00270"></a><span class="lineno"> 270</span>  carry = 0;</div>
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<div class="line"><a name="l00271"></a><span class="lineno"> 271</span>  } <span class="keywordflow">else</span> {</div>
|
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<div class="line"><a name="l00272"></a><span class="lineno"> 272</span>  carry = temp / 10;</div>
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<div class="line"><a name="l00273"></a><span class="lineno"> 273</span>  temp = temp % 10;</div>
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<div class="line"><a name="l00274"></a><span class="lineno"> 274</span>  }</div>
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<div class="line"><a name="l00275"></a><span class="lineno"> 275</span>  (*this)[i] = temp;</div>
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<div class="line"><a name="l00276"></a><span class="lineno"> 276</span>  }</div>
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<div class="line"><a name="l00277"></a><span class="lineno"> 277</span>  </div>
|
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<div class="line"><a name="l00278"></a><span class="lineno"> 278</span>  <span class="keywordflow">while</span> (carry != 0) {</div>
|
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<div class="line"><a name="l00279"></a><span class="lineno"> 279</span>  this-><a class="code" href="../../db/d82/classlarge__number.html#a60c436d1a1c5e3795d6177d3815ad615">add_digit</a>(carry % 10);</div>
|
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<div class="line"><a name="l00280"></a><span class="lineno"> 280</span>  carry /= 10;</div>
|
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<div class="line"><a name="l00281"></a><span class="lineno"> 281</span>  }</div>
|
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<div class="line"><a name="l00282"></a><span class="lineno"> 282</span>  }</div>
|
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<div class="line"><a name="l00283"></a><span class="lineno"> 283</span>  </div>
|
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<div class="line"><a name="l00284"></a><span class="lineno"> 284</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<unsigned char></a></div>
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<div class="line"><a name="l00285"></a><span class="lineno"><a class="line" href="../../db/d82/classlarge__number.html#af2b3ec9c35842d3a46ac7326f268af57"> 285</a></span>  <a class="code" href="../../db/d82/classlarge__number.html#af2b3ec9c35842d3a46ac7326f268af57">_digits</a>; <span class="comment">/**< where individual digits are stored */</span></div>
|
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<div class="line"><a name="l00286"></a><span class="lineno"> 286</span> };</div>
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<div class="line"><a name="l00287"></a><span class="lineno"> 287</span>  </div>
|
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<div class="line"><a name="l00288"></a><span class="lineno"> 288</span> <span class="preprocessor">#endif // MATH_LARGE_NUMBER_H_</span></div>
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</div><!-- fragment --></div><!-- contents -->
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</div><!-- doc-content -->
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<div class="ttc" id="abinary__exponent_8cpp_html_aeb48dce0725e63d19147944f41843c73"><div class="ttname"><a href="../../de/dcf/binary__exponent_8cpp.html#aeb48dce0725e63d19147944f41843c73">binExpo</a></div><div class="ttdeci">int binExpo(int a, int b)</div><div class="ttdef"><b>Definition:</b> binary_exponent.cpp:28</div></div>
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<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>
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<div class="ttc" id="asrand_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/random/srand.html">std::srand</a></div><div class="ttdeci">T srand(T... args)</div></div>
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<div class="ttc" id="adouble__factorial_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../d7/d89/double__factorial_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdef"><b>Definition:</b> double_factorial.cpp:67</div></div>
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<div class="ttc" id="agcd__of__n__numbers_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../d1/d11/gcd__of__n__numbers_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdef"><b>Definition:</b> gcd_of_n_numbers.cpp:28</div></div>
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<div class="ttc" id="adomain_error_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/error/domain_error.html">std::domain_error</a></div><div class="ttdoc">STL class.</div></div>
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<div class="ttc" id="alarge__factorial_8cpp_html_a3f93b60e229b6683e24c4754a7106ee8"><div class="ttname"><a href="../../d6/d9d/large__factorial_8cpp.html#a3f93b60e229b6683e24c4754a7106ee8">test1</a></div><div class="ttdeci">bool test1()</div><div class="ttdef"><b>Definition:</b> large_factorial.cpp:17</div></div>
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<div class="ttc" id="aclock_t_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/chrono/c/clock_t.html">std::clock_t</a></div></div>
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<div class="ttc" id="agcd__iterative__euclidean_8cpp_html_ae48807fa2b7000afae599e67f327545e"><div class="ttname"><a href="../../d4/da0/gcd__iterative__euclidean_8cpp.html#ae48807fa2b7000afae599e67f327545e">gcd</a></div><div class="ttdeci">int gcd(int num1, int num2)</div><div class="ttdef"><b>Definition:</b> gcd_iterative_euclidean.cpp:15</div></div>
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<div class="ttc" id="aclass_complex_html"><div class="ttname"><a href="../../da/d5a/class_complex.html">Complex</a></div><div class="ttdoc">Class Complex to represent complex numbers as a field.</div><div class="ttdef"><b>Definition:</b> complex_numbers.cpp:20</div></div>
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<div class="ttc" id="afibonacci_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../d9/d89/fibonacci_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdoc">Main function.</div><div class="ttdef"><b>Definition:</b> fibonacci.cpp:62</div></div>
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<div class="ttc" id="aclasslarge__number_html_a778428c4761b6ea5e7770743f0eab5ab"><div class="ttname"><a href="../../db/d82/classlarge__number.html#a778428c4761b6ea5e7770743f0eab5ab">large_number::operator<<</a></div><div class="ttdeci">friend std::ostream & operator<<(std::ostream &out, const large_number &a)</div><div class="ttdef"><b>Definition:</b> large_number.h:146</div></div>
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<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< unsigned char > &vec)</div><div class="ttdef"><b>Definition:</b> large_number.h:51</div></div>
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<div class="ttc" id="aatan2_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/math/atan2.html">std::atan2</a></div><div class="ttdeci">T atan2(T... args)</div></div>
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<div class="ttc" id="aextended__euclid__algorithm_8cpp_html_abe92d63a0ff9bda7e304df510d5dd217"><div class="ttname"><a href="../../d9/d5d/extended__euclid__algorithm_8cpp.html#abe92d63a0ff9bda7e304df510d5dd217">update_step</a></div><div class="ttdeci">void update_step(T *r, T *r0, const T2 quotient)</div><div class="ttdef"><b>Definition:</b> extended_euclid_algorithm.cpp:24</div></div>
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<div class="ttc" id="adouble__factorial_8cpp_html_a0a3c417360400093891a9ccddaa4be26"><div class="ttname"><a href="../../d7/d89/double__factorial_8cpp.html#a0a3c417360400093891a9ccddaa4be26">double_factorial_iterative</a></div><div class="ttdeci">uint64_t double_factorial_iterative(uint64_t n)</div><div class="ttdef"><b>Definition:</b> double_factorial.cpp:17</div></div>
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<div class="ttc" id="acos_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/math/cos.html">std::cos</a></div><div class="ttdeci">T cos(T... args)</div></div>
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<div class="ttc" id="avector_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector< unsigned char ></a></div></div>
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<div class="ttc" id="asize_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector/size.html">std::vector::size</a></div><div class="ttdeci">T size(T... args)</div></div>
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<div class="ttc" id="aclass_complex_html_ae1e03712837450549e0c9b4017533a41"><div class="ttname"><a href="../../da/d5a/class_complex.html#ae1e03712837450549e0c9b4017533a41">Complex::arg</a></div><div class="ttdeci">double arg() const</div><div class="ttdoc">Member function to give the argument of our complex number.</div><div class="ttdef"><b>Definition:</b> complex_numbers.cpp:87</div></div>
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<div class="ttc" id="aclass_complex_html_aa9b4a7d6083ca7040ddd4fe93db5c19d"><div class="ttname"><a href="../../da/d5a/class_complex.html#aa9b4a7d6083ca7040ddd4fe93db5c19d">Complex::operator*</a></div><div class="ttdeci">Complex operator*(const Complex &other)</div><div class="ttdoc">Operator overload of '*' on Complex class. Operator overload to be able to multiple two complex numbe...</div><div class="ttdef"><b>Definition:</b> complex_numbers.cpp:117</div></div>
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<div class="ttc" id="aclasslarge__number_html"><div class="ttname"><a href="../../db/d82/classlarge__number.html">large_number</a></div><div class="ttdef"><b>Definition:</b> large_number.h:24</div></div>
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<div class="ttc" id="afibonacci__large_8cpp_html_adf3e906875ab257f7fab3bc1370aa2db"><div class="ttname"><a href="../../de/de4/fibonacci__large_8cpp.html#adf3e906875ab257f7fab3bc1370aa2db">fib</a></div><div class="ttdeci">large_number fib(uint64_t n)</div><div class="ttdef"><b>Definition:</b> fibonacci_large.cpp:24</div></div>
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<div class="ttc" id="afibonacci__fast_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../d4/d32/fibonacci__fast_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdef"><b>Definition:</b> fibonacci_fast.cpp:51</div></div>
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<div class="ttc" id="aclass_complex_html_a36739619a07b5478bcd8a28ad2f8b7da"><div class="ttname"><a href="../../da/d5a/class_complex.html#a36739619a07b5478bcd8a28ad2f8b7da">Complex::operator-</a></div><div class="ttdeci">Complex operator-(const Complex &other)</div><div class="ttdoc">Operator overload of '-' on Complex class. Operator overload to be able to subtract two complex numbe...</div><div class="ttdef"><b>Definition:</b> complex_numbers.cpp:106</div></div>
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<div class="ttc" id="aclass_complex_html_a466cd7b664cc6a864937ceb3dead1323"><div class="ttname"><a href="../../da/d5a/class_complex.html#a466cd7b664cc6a864937ceb3dead1323">Complex::Complex</a></div><div class="ttdeci">Complex(const Complex &other)</div><div class="ttdoc">Copy Constructor.</div><div class="ttdef"><b>Definition:</b> complex_numbers.cpp:58</div></div>
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<div class="ttc" id="aclass_complex_html_a3cfc522c782726f49ee20af17b77f867"><div class="ttname"><a href="../../da/d5a/class_complex.html#a3cfc522c782726f49ee20af17b77f867">Complex::Complex</a></div><div class="ttdeci">Complex(double x=0.f, double y=0.f, bool is_polar=false)</div><div class="ttdoc">Complex Constructor which initialises our complex number.</div><div class="ttdef"><b>Definition:</b> complex_numbers.cpp:43</div></div>
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<div class="ttc" id="aclass_complex_html_ae5b51b749ea4964104b9527af9d8f556"><div class="ttname"><a href="../../da/d5a/class_complex.html#ae5b51b749ea4964104b9527af9d8f556">Complex::abs</a></div><div class="ttdeci">double abs() const</div><div class="ttdoc">Member function to give the modulus of our complex number. Member function to which gives the absolut...</div><div class="ttdef"><b>Definition:</b> complex_numbers.cpp:79</div></div>
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<div class="ttc" id="alarge__factorial_8cpp_html_a0ddf1224851353fc92bfbff6f499fa97"><div class="ttname"><a href="../../d6/d9d/large__factorial_8cpp.html#a0ddf1224851353fc92bfbff6f499fa97">main</a></div><div class="ttdeci">int main(int argc, char *argv[])</div><div class="ttdef"><b>Definition:</b> large_factorial.cpp:89</div></div>
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<div class="ttc" id="agcd__recursive__euclidean_8cpp_html_ae48807fa2b7000afae599e67f327545e"><div class="ttname"><a href="../../d4/d45/gcd__recursive__euclidean_8cpp.html#ae48807fa2b7000afae599e67f327545e">gcd</a></div><div class="ttdeci">int gcd(int num1, int num2)</div><div class="ttdef"><b>Definition:</b> gcd_recursive_euclidean.cpp:14</div></div>
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<div class="ttc" id="alarge__number_8h_html"><div class="ttname"><a href="../../d4/d86/large__number_8h.html">large_number.h</a></div><div class="ttdoc">Library to perform arithmatic operations on arbitrarily large numbers.</div></div>
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<div class="ttc" id="acomplex__numbers_8cpp_html_a5d4d5b8250b50703de888514c8e7a7a0"><div class="ttname"><a href="../../d5/d67/complex__numbers_8cpp.html#a5d4d5b8250b50703de888514c8e7a7a0">get_rand</a></div><div class="ttdeci">double get_rand()</div><div class="ttdoc">Function to get random numbers to generate our complex numbers for test.</div><div class="ttdef"><b>Definition:</b> complex_numbers.cpp:201</div></div>
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<div class="ttc" id="abinary__exponent_8cpp_html_a31dbf5f7ceb9c9eec831ef9f7782291f"><div class="ttname"><a href="../../de/dcf/binary__exponent_8cpp.html#a31dbf5f7ceb9c9eec831ef9f7782291f">binExpo_alt</a></div><div class="ttdeci">int binExpo_alt(int a, int b)</div><div class="ttdef"><b>Definition:</b> binary_exponent.cpp:42</div></div>
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<div class="ttc" id="acomplex__numbers_8cpp_html_a88ec9ad42717780d6caaff9d3d6977f9"><div class="ttname"><a href="../../d5/d67/complex__numbers_8cpp.html#a88ec9ad42717780d6caaff9d3d6977f9">tests</a></div><div class="ttdeci">void tests()</div><div class="ttdef"><b>Definition:</b> complex_numbers.cpp:206</div></div>
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<div class="ttc" id="aclass_complex_html_a889215b7b004a3e7ec4d785ca5e7a2ba"><div class="ttname"><a href="../../da/d5a/class_complex.html#a889215b7b004a3e7ec4d785ca5e7a2ba">Complex::operator=</a></div><div class="ttdeci">const Complex & operator=(const Complex &other)</div><div class="ttdoc">Operator overload of '=' on Complex class. Operator overload to be able to copy RHS instance of Compl...</div><div class="ttdef"><b>Definition:</b> complex_numbers.cpp:160</div></div>
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<div class="ttc" id="agcd__recursive__euclidean_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../d4/d45/gcd__recursive__euclidean_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdef"><b>Definition:</b> gcd_recursive_euclidean.cpp:42</div></div>
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<div class="ttc" id="aclasslarge__number_html_ac09a05ec4aafb4d9e0b4440d6f0e2a93"><div class="ttname"><a href="../../db/d82/classlarge__number.html#ac09a05ec4aafb4d9e0b4440d6f0e2a93">large_number::num_digits</a></div><div class="ttdeci">size_t num_digits() const</div><div class="ttdef"><b>Definition:</b> large_number.h:130</div></div>
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<div class="ttc" id="asqrt_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/math/sqrt.html">std::sqrt</a></div><div class="ttdeci">T sqrt(T... args)</div></div>
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<div class="ttc" id="aclasslarge__number_html_ac27b399ed872731758ec33ebb102730e"><div class="ttname"><a href="../../db/d82/classlarge__number.html#ac27b399ed872731758ec33ebb102730e">large_number::operator+=</a></div><div class="ttdeci">large_number & operator+=(large_number n)</div><div class="ttdef"><b>Definition:</b> large_number.h:192</div></div>
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<div class="ttc" id="acheck__prime_8cpp_html_aa18b3517017d99bb4024853bddba5532"><div class="ttname"><a href="../../db/d93/check__prime_8cpp.html#aa18b3517017d99bb4024853bddba5532">is_prime</a></div><div class="ttdeci">bool is_prime(T num)</div><div class="ttdef"><b>Definition:</b> check_prime.cpp:22</div></div>
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<div class="ttc" id="afast__power_8cpp_html_a8399b847626e5bba983cab7c7918b445"><div class="ttname"><a href="../../d2/d0b/fast__power_8cpp.html#a8399b847626e5bba983cab7c7918b445">fast_power_recursive</a></div><div class="ttdeci">double fast_power_recursive(T a, T b)</div><div class="ttdef"><b>Definition:</b> fast_power.cpp:26</div></div>
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<div class="ttc" id="apush_back_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector/push_back.html">std::vector::push_back</a></div><div class="ttdeci">T push_back(T... args)</div></div>
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<div class="ttc" id="adouble__factorial_8cpp_html_abbbcebf3a2d0c67f4c3cfb5511a97981"><div class="ttname"><a href="../../d7/d89/double__factorial_8cpp.html#abbbcebf3a2d0c67f4c3cfb5511a97981">test</a></div><div class="ttdeci">void test(uint64_t n, uint64_t expected)</div><div class="ttdef"><b>Definition:</b> double_factorial.cpp:42</div></div>
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<div class="ttc" id="aclock_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/chrono/c/clock.html">std::clock</a></div><div class="ttdeci">T clock(T... args)</div></div>
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<div class="ttc" id="aclass_complex_html_a312e4b19146128408fb06e0150b0faf6"><div class="ttname"><a href="../../da/d5a/class_complex.html#a312e4b19146128408fb06e0150b0faf6">Complex::real</a></div><div class="ttdeci">double real() const</div><div class="ttdoc">Member function to get real value of our complex number. Member function (getter) to access the class...</div><div class="ttdef"><b>Definition:</b> complex_numbers.cpp:64</div></div>
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<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 &a)</div><div class="ttdef"><b>Definition:</b> large_number.h:48</div></div>
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<div class="ttc" id="afibonacci_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="../../d9/d89/fibonacci_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a></div><div class="ttdeci">static void test()</div><div class="ttdef"><b>Definition:</b> fibonacci.cpp:35</div></div>
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<div class="ttc" id="aclasslarge__number_html_ab1af3e0f425cdf7ea2039c9dcfe22f0b"><div class="ttname"><a href="../../db/d82/classlarge__number.html#ab1af3e0f425cdf7ea2039c9dcfe22f0b">large_number::operator*=</a></div><div class="ttdeci">large_number & operator*=(const T n)</div><div class="ttdef"><b>Definition:</b> large_number.h:238</div></div>
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<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>
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<div class="ttc" id="abinary__exponent_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../de/dcf/binary__exponent_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdoc">Main function.</div><div class="ttdef"><b>Definition:</b> binary_exponent.cpp:55</div></div>
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<div class="ttc" id="aclass_complex_html_ac38437c10eb798f176c384a695171b90"><div class="ttname"><a href="../../da/d5a/class_complex.html#ac38437c10eb798f176c384a695171b90">Complex::operator/</a></div><div class="ttdeci">Complex operator/(const Complex &other)</div><div class="ttdoc">Operator overload of '/' on Complex class. Operator overload to be able to divide two complex numbers...</div><div class="ttdef"><b>Definition:</b> complex_numbers.cpp:142</div></div>
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<div class="ttc" id="aclasslarge__number_html_a622d84883180ff42f04955909adea5a9"><div class="ttname"><a href="../../db/d82/classlarge__number.html#a622d84883180ff42f04955909adea5a9">large_number::operator++</a></div><div class="ttdeci">large_number & operator++()</div><div class="ttdef"><b>Definition:</b> large_number.h:175</div></div>
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<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>
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<div class="ttc" id="afibonacci_8cpp_html_aaf94f3212385cff0a5f19ff6b0cce8e7"><div class="ttname"><a href="../../d9/d89/fibonacci_8cpp.html#aaf94f3212385cff0a5f19ff6b0cce8e7">fibonacci</a></div><div class="ttdeci">uint64_t fibonacci(uint64_t n)</div><div class="ttdef"><b>Definition:</b> fibonacci.cpp:19</div></div>
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<div class="ttc" id="aclasslarge__number_html_ace19126cf343a09efc0010735f6e3a8d"><div class="ttname"><a href="../../db/d82/classlarge__number.html#ace19126cf343a09efc0010735f6e3a8d">large_number::operator[]</a></div><div class="ttdeci">unsigned char & operator[](size_t n)</div><div class="ttdef"><b>Definition:</b> large_number.h:137</div></div>
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<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>
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<div class="ttc" id="aeulers__totient__function_8cpp_html_a35e4874a3e1d67eb708dc57944c8aea0"><div class="ttname"><a href="../../da/d23/eulers__totient__function_8cpp.html#a35e4874a3e1d67eb708dc57944c8aea0">phiFunction</a></div><div class="ttdeci">uint64_t phiFunction(uint64_t n)</div><div class="ttdef"><b>Definition:</b> eulers_totient_function.cpp:32</div></div>
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<div class="ttc" id="afactorial_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../d9/d00/factorial_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdef"><b>Definition:</b> factorial.cpp:15</div></div>
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<div class="ttc" id="aclasslarge__number_html_a2f5571e66305cf68bb8283e4aeda58bc"><div class="ttname"><a href="../../db/d82/classlarge__number.html#a2f5571e66305cf68bb8283e4aeda58bc">large_number::multiply</a></div><div class="ttdeci">void multiply(const T n)</div><div class="ttdef"><b>Definition:</b> large_number.h:258</div></div>
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<div class="ttc" id="aclass_complex_html_a8d5427f6c42c15283031d73e1418c59d"><div class="ttname"><a href="../../da/d5a/class_complex.html#a8d5427f6c42c15283031d73e1418c59d">Complex::operator~</a></div><div class="ttdeci">Complex operator~() const</div><div class="ttdoc">Operator overload of '~' on Complex class. Operator overload of the BITWISE NOT which gives us the co...</div><div class="ttdef"><b>Definition:</b> complex_numbers.cpp:130</div></div>
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<div class="ttc" id="acomplex__numbers_8cpp_html_af738b2a6921f0a6868bb7c5b4c0d18e0"><div class="ttname"><a href="../../d5/d67/complex__numbers_8cpp.html#af738b2a6921f0a6868bb7c5b4c0d18e0">operator<<</a></div><div class="ttdeci">std::ostream & operator<<(std::ostream &os, const Complex &num)</div><div class="ttdoc">Operator overload of '<<' of ostream for Complex class. Overloaded insersion operator to accommodate ...</div><div class="ttdef"><b>Definition:</b> complex_numbers.cpp:186</div></div>
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<div class="ttc" id="areal_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/complex/real.html">std::complex::real</a></div><div class="ttdeci">T real(T... args)</div></div>
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<div class="ttc" id="aclasslarge__number_html_aeb22d2aae39d1b1e0bd39c7f47b333eb"><div class="ttname"><a href="../../db/d82/classlarge__number.html#aeb22d2aae39d1b1e0bd39c7f47b333eb">large_number::operator=</a></div><div class="ttdeci">large_number & operator=(const large_number &b)</div><div class="ttdef"><b>Definition:</b> large_number.h:229</div></div>
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<div class="ttc" id="aextended__euclid__algorithm_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../d9/d5d/extended__euclid__algorithm_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdoc">Main function.</div><div class="ttdef"><b>Definition:</b> extended_euclid_algorithm.cpp:87</div></div>
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<div class="ttc" id="afibonacci__fast_8cpp_html_a5712edca101204eca8accdb1e096707f"><div class="ttname"><a href="../../d4/d32/fibonacci__fast_8cpp.html#a5712edca101204eca8accdb1e096707f">fib</a></div><div class="ttdeci">uint64_t fib(uint64_t n)</div><div class="ttdef"><b>Definition:</b> fibonacci_fast.cpp:30</div></div>
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<div class="ttc" id="ainvalid_argument_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/error/invalid_argument.html">std::invalid_argument</a></div><div class="ttdoc">STL class.</div></div>
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<div class="ttc" id="acomplex__numbers_8cpp_html_a5a73e9d4e68af8cedb95bd0864054b89"><div class="ttname"><a href="../../d5/d67/complex__numbers_8cpp.html#a5a73e9d4e68af8cedb95bd0864054b89">operator==</a></div><div class="ttdeci">bool operator==(const Complex &a, const Complex &b)</div><div class="ttdoc">Operator overload of '==' on Complex class. Logical Equal overload for our Complex class.</div><div class="ttdef"><b>Definition:</b> complex_numbers.cpp:175</div></div>
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<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< unsigned char > _digits</div><div class="ttdef"><b>Definition:</b> large_number.h:285</div></div>
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<div class="ttc" id="ais_integral_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/types/is_integral.html">std::is_integral</a></div></div>
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<div class="ttc" id="acheck__prime_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../db/d93/check__prime_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdef"><b>Definition:</b> check_prime.cpp:45</div></div>
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<div class="ttc" id="alarge__factorial_8cpp_html_a76aae4778fbe89a3d59fd61fbc050cfa"><div class="ttname"><a href="../../d6/d9d/large__factorial_8cpp.html#a76aae4778fbe89a3d59fd61fbc050cfa">test2</a></div><div class="ttdeci">bool test2()</div><div class="ttdef"><b>Definition:</b> large_factorial.cpp:54</div></div>
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<div class="ttc" id="arand_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/random/rand.html">std::rand</a></div><div class="ttdeci">T rand(T... args)</div></div>
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<div class="ttc" id="aswap_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/algorithm/swap.html">std::swap</a></div><div class="ttdeci">T swap(T... args)</div></div>
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<div class="ttc" id="asin_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/math/sin.html">std::sin</a></div><div class="ttdeci">T sin(T... args)</div></div>
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<div class="ttc" id="acheck__amicable__pair_8cpp_html_ac656a51b4c3bd7d63b7dcc75dc3e5576"><div class="ttname"><a href="../../d5/df6/check__amicable__pair_8cpp.html#ac656a51b4c3bd7d63b7dcc75dc3e5576">sum_of_divisor</a></div><div class="ttdeci">int sum_of_divisor(int num)</div><div class="ttdef"><b>Definition:</b> check_amicable_pair.cpp:21</div></div>
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<div class="ttc" id="aclass_complex_html_af8aacf982e2e6c142921bc850f6dc974"><div class="ttname"><a href="../../da/d5a/class_complex.html#af8aacf982e2e6c142921bc850f6dc974">Complex::imag</a></div><div class="ttdeci">double imag() const</div><div class="ttdoc">Member function to get imaginary value of our complex number. Member function (getter) to access the ...</div><div class="ttdef"><b>Definition:</b> complex_numbers.cpp:70</div></div>
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<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>
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<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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<div class="ttc" id="acomplex__numbers_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../d5/d67/complex__numbers_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdef"><b>Definition:</b> complex_numbers.cpp:268</div></div>
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<div class="ttc" id="async_with_stdio_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/ios_base/sync_with_stdio.html">std::ios_base::sync_with_stdio</a></div><div class="ttdeci">T sync_with_stdio(T... args)</div></div>
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<div class="ttc" id="aextended__euclid__algorithm_8cpp_html_a1792ac7c33aaf26b860ab55f5652ab25"><div class="ttname"><a href="../../d9/d5d/extended__euclid__algorithm_8cpp.html#a1792ac7c33aaf26b860ab55f5652ab25">extendedEuclid_1</a></div><div class="ttdeci">void extendedEuclid_1(T1 A, T1 B, T1 *GCD, T2 *x, T2 *y)</div><div class="ttdef"><b>Definition:</b> extended_euclid_algorithm.cpp:41</div></div>
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<div class="ttc" id="aclasslarge__number_html_a70d23d67535e67030db570e56c00e16d"><div class="ttname"><a href="../../db/d82/classlarge__number.html#a70d23d67535e67030db570e56c00e16d">large_number::operator+</a></div><div class="ttdeci">friend large_number & operator+(const large_number &a, const T &b)</div><div class="ttdef"><b>Definition:</b> large_number.h:220</div></div>
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<div class="ttc" id="acheck__amicable__pair_8cpp_html_afeb67e204ec7de02ad152c11df4d1e01"><div class="ttname"><a href="../../d5/df6/check__amicable__pair_8cpp.html#afeb67e204ec7de02ad152c11df4d1e01">are_amicable</a></div><div class="ttdeci">bool are_amicable(int x, int y)</div><div class="ttdef"><b>Definition:</b> check_amicable_pair.cpp:48</div></div>
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<div class="ttc" id="acheck__amicable__pair_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../d5/df6/check__amicable__pair_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdef"><b>Definition:</b> check_amicable_pair.cpp:68</div></div>
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<div class="ttc" id="apow_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/math/pow.html">std::pow</a></div><div class="ttdeci">T pow(T... args)</div></div>
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