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<div class="headertitle"><div class="title">large_factorial.cpp File Reference</div></div>
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<p>Compute factorial of any arbitratily large number/.
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<a href="#details">More...</a></p>
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<div class="textblock"><code>#include <cstring></code><br />
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<code>#include <ctime></code><br />
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<code>#include <iostream></code><br />
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<code>#include "<a class="el" href="../../d4/d86/large__number_8h_source.html">./large_number.h</a>"</code><br />
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Include dependency graph for large_factorial.cpp:</div>
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Functions</h2></td></tr>
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<tr class="memitem:a3f93b60e229b6683e24c4754a7106ee8"><td class="memItemLeft" align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d6/d9d/large__factorial_8cpp.html#a3f93b60e229b6683e24c4754a7106ee8">test1</a> ()</td></tr>
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<tr class="separator:a3f93b60e229b6683e24c4754a7106ee8"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a76aae4778fbe89a3d59fd61fbc050cfa"><td class="memItemLeft" align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d6/d9d/large__factorial_8cpp.html#a76aae4778fbe89a3d59fd61fbc050cfa">test2</a> ()</td></tr>
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<tr class="separator:a76aae4778fbe89a3d59fd61fbc050cfa"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a0ddf1224851353fc92bfbff6f499fa97"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d6/d9d/large__factorial_8cpp.html#a0ddf1224851353fc92bfbff6f499fa97">main</a> (int argc, char *argv[])</td></tr>
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</table>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
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<div class="textblock"><p>Compute factorial of any arbitratily large number/. </p>
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<dl class="section author"><dt>Author</dt><dd><a href="https://github.com/kvedala" target="_blank">Krishna Vedala</a> </dd></dl>
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<dl class="section see"><dt>See also</dt><dd><a class="el" href="../../d9/d00/factorial_8cpp.html" title="C++ program to find factorial of given number.">factorial.cpp</a> </dd></dl>
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</div><h2 class="groupheader">Function Documentation</h2>
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<a id="a0ddf1224851353fc92bfbff6f499fa97" name="a0ddf1224851353fc92bfbff6f499fa97"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#a0ddf1224851353fc92bfbff6f499fa97">◆ </a></span>main()</h2>
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<div class="memproto">
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<tr>
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<td class="memname">int main </td>
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<td>(</td>
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<td class="paramtype">int </td>
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<td class="paramname"><em>argc</em>, </td>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">char * </td>
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<td class="paramname"><em>argv</em>[] </td>
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<td></td>
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<td>)</td>
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<td></td><td></td>
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</div><div class="memdoc">
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<p>Main program </p>
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<div class="fragment"><div class="line"><span class="lineno"> 89</span> {</div>
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<div class="line"><span class="lineno"> 90</span> <span class="keywordtype">int</span> number, i;</div>
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<div class="line"><span class="lineno"> 91</span> </div>
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<div class="line"><span class="lineno"> 92</span> <span class="keywordflow">if</span> (argc == 2) {</div>
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<div class="line"><span class="lineno"> 93</span> number = <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/byte/atoi.html">atoi</a>(argv[1]);</div>
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<div class="line"><span class="lineno"> 94</span> } <span class="keywordflow">else</span> {</div>
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<div class="line"><span class="lineno"> 95</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"Enter the value of n(n starts from 0 ): "</span>;</div>
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<div class="line"><span class="lineno"> 96</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a> >> number;</div>
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<div class="line"><span class="lineno"> 97</span> }</div>
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<div class="line"><span class="lineno"> 98</span> </div>
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<div class="line"><span class="lineno"> 99</span> <a class="code hl_class" href="../../db/d82/classlarge__number.html">large_number</a> <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a>;</div>
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<div class="line"><span class="lineno"> 100</span> </div>
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<div class="line"><span class="lineno"> 101</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/chrono/c/clock_t.html">std::clock_t</a> start_time = <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/chrono/c/clock.html">std::clock</a>();</div>
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<div class="line"><span class="lineno"> 102</span> <span class="keywordflow">for</span> (i = 2; i <= number; i++) <span class="comment">/* Multiply every number from 2 thru N */</span></div>
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<div class="line"><span class="lineno"> 103</span> result *= i;</div>
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<div class="line"><span class="lineno"> 104</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/chrono/c/clock_t.html">std::clock_t</a> end_time = <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/chrono/c/clock.html">std::clock</a>();</div>
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<div class="line"><span class="lineno"> 105</span> <span class="keywordtype">double</span> time_taken =</div>
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<div class="line"><span class="lineno"> 106</span> <span class="keyword">static_cast<</span><span class="keywordtype">double</span><span class="keyword">></span>(end_time - start_time) / CLOCKS_PER_SEC;</div>
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<div class="line"><span class="lineno"> 107</span> </div>
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<div class="line"><span class="lineno"> 108</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << number << <span class="stringliteral">"! = "</span> << <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a> << <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a></div>
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<div class="line"><span class="lineno"> 109</span> << <span class="stringliteral">"Number of digits: "</span> << <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a>.num_digits() << <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a></div>
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<div class="line"><span class="lineno"> 110</span> << <span class="stringliteral">"Time taken: "</span> << <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/fixed.html">std::scientific</a> << time_taken << <span class="stringliteral">" s"</span></div>
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<div class="line"><span class="lineno"> 111</span> << <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><span class="lineno"> 112</span> </div>
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<div class="line"><span class="lineno"> 113</span> <a class="code hl_function" href="../../d6/d9d/large__factorial_8cpp.html#a3f93b60e229b6683e24c4754a7106ee8">test1</a>();</div>
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<div class="line"><span class="lineno"> 114</span> <a class="code hl_function" href="../../d6/d9d/large__factorial_8cpp.html#a76aae4778fbe89a3d59fd61fbc050cfa">test2</a>();</div>
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<div class="line"><span class="lineno"> 115</span> <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a>.test();</div>
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<div class="line"><span class="lineno"> 116</span> </div>
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<div class="line"><span class="lineno"> 117</span> <span class="keywordflow">return</span> 0;</div>
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<div class="line"><span class="lineno"> 118</span>}</div>
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<div class="ttc" id="aatoi_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/string/byte/atoi.html">std::atoi</a></div><div class="ttdeci">T atoi(T... args)</div></div>
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<div class="ttc" id="abasic_istream_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a></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="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="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="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="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="afibonacci__sum_8cpp_html_aadb40ac4c74a7efc0680b83eeee138aa"><div class="ttname"><a href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">math::fibonacci_sum::result</a></div><div class="ttdeci">uint64_t result(uint64_t n)</div><div class="ttdef"><b>Definition</b> fibonacci_sum.cpp:76</div></div>
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<div class="ttc" id="afixed_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/manip/fixed.html">std::scientific</a></div><div class="ttdeci">T scientific(T... args)</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="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><!-- fragment --><div class="dynheader">
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Here is the call graph for this function:</div>
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<div class="dyncontent">
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<div class="center"><iframe scrolling="no" frameborder="0" src="../../d6/d9d/large__factorial_8cpp_a0ddf1224851353fc92bfbff6f499fa97_cgraph.svg" width="327" height="236"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe></div>
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<a id="a3f93b60e229b6683e24c4754a7106ee8" name="a3f93b60e229b6683e24c4754a7106ee8"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#a3f93b60e229b6683e24c4754a7106ee8">◆ </a></span>test1()</h2>
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<td class="memname">bool test1 </td>
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<td>(</td>
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<p>Test implementation for 10! Result must be 3628800. </p><dl class="section return"><dt>Returns</dt><dd>True if test pass else False </dd></dl>
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<div class="fragment"><div class="line"><span class="lineno"> 17</span> {</div>
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<div class="line"><span class="lineno"> 18</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"---- Check 1\t"</span>;</div>
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<div class="line"><span class="lineno"> 19</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> i, number = 10;</div>
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<div class="line"><span class="lineno"> 20</span> <a class="code hl_class" href="../../db/d82/classlarge__number.html">large_number</a> <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a>;</div>
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<div class="line"><span class="lineno"> 21</span> <span class="keywordflow">for</span> (i = 2; i <= number; i++) <span class="comment">/* Multiply every number from 2 thru N */</span></div>
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<div class="line"><span class="lineno"> 22</span> result *= i;</div>
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<div class="line"><span class="lineno"> 23</span> </div>
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<div class="line"><span class="lineno"> 24</span> <span class="keyword">const</span> <span class="keywordtype">char</span> *known_reslt = <span class="stringliteral">"3628800"</span>;</div>
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<div class="line"><span class="lineno"> 25</span> </div>
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<div class="line"><span class="lineno"> 26</span> <span class="comment">/* check 1 */</span></div>
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<div class="line"><span class="lineno"> 27</span> <span class="keywordflow">if</span> (<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/byte/strlen.html">strlen</a>(known_reslt) != <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a>.num_digits()) {</div>
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<div class="line"><span class="lineno"> 28</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cerr</a> << <span class="stringliteral">"Result lengths dont match! "</span> << <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/byte/strlen.html">strlen</a>(known_reslt)</div>
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<div class="line"><span class="lineno"> 29</span> << <span class="stringliteral">" != "</span> << <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a>.num_digits() << <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><span class="lineno"> 30</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
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<div class="line"><span class="lineno"> 31</span> }</div>
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<div class="line"><span class="lineno"> 32</span> </div>
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<div class="line"><span class="lineno"> 33</span> <span class="keyword">const</span> <span class="keywordtype">size_t</span> <a class="code hl_variable" href="../../d6/d42/data__structures_2sparse__table_8cpp.html#a10f3ffb3f6f7e1b83d556b9c8de89a5d">N</a> = <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a>.num_digits();</div>
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<div class="line"><span class="lineno"> 34</span> <span class="keywordflow">for</span> (i = 0; i < <a class="code hl_variable" href="../../d6/d42/data__structures_2sparse__table_8cpp.html#a10f3ffb3f6f7e1b83d556b9c8de89a5d">N</a>; i++) {</div>
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<div class="line"><span class="lineno"> 35</span> <span class="keywordflow">if</span> (known_reslt[i] != <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a>.digit_char(i)) {</div>
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<div class="line"><span class="lineno"> 36</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cerr</a> << i << <span class="stringliteral">"^th digit mismatch! "</span> << known_reslt[i]</div>
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<div class="line"><span class="lineno"> 37</span> << <span class="stringliteral">" != "</span> << <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a>.digit_char(i) << <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><span class="lineno"> 38</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
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<div class="line"><span class="lineno"> 39</span> }</div>
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<div class="line"><span class="lineno"> 40</span> }</div>
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<div class="line"><span class="lineno"> 41</span> </div>
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<div class="line"><span class="lineno"> 42</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"Passed!"</span> << <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><span class="lineno"> 43</span> <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
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<div class="line"><span class="lineno"> 44</span>}</div>
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<div class="ttc" id="adata__structures_2sparse__table_8cpp_html_a10f3ffb3f6f7e1b83d556b9c8de89a5d"><div class="ttname"><a href="../../d6/d42/data__structures_2sparse__table_8cpp.html#a10f3ffb3f6f7e1b83d556b9c8de89a5d">data_structures::sparse_table::N</a></div><div class="ttdeci">constexpr uint32_t N</div><div class="ttdoc">A struct to represent sparse table for min() as their invariant function, for the given array A....</div><div class="ttdef"><b>Definition</b> sparse_table.cpp:47</div></div>
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<div class="ttc" id="astrlen_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/string/byte/strlen.html">std::strlen</a></div><div class="ttdeci">T strlen(T... args)</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#a76aae4778fbe89a3d59fd61fbc050cfa">◆ </a></span>test2()</h2>
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<td class="memname">bool test2 </td>
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<td>(</td>
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<td class="paramname"></td><td>)</td>
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<p>Test implementation for 100! The result is the 156 digit number: </p><div class="fragment"><div class="line">9332621544394415268169923885626670049071596826438162146859296389521759</div>
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<div class="line">9993229915608941463976156518286253697920827223758251185210916864000000</div>
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<div class="line">000000000000000000</div>
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</div><!-- fragment --> <dl class="section return"><dt>Returns</dt><dd>True if test pass else False </dd></dl>
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<div class="fragment"><div class="line"><span class="lineno"> 54</span> {</div>
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<div class="line"><span class="lineno"> 55</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"---- Check 2\t"</span>;</div>
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<div class="line"><span class="lineno"> 56</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> i, number = 100;</div>
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<div class="line"><span class="lineno"> 57</span> <a class="code hl_class" href="../../db/d82/classlarge__number.html">large_number</a> <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a>;</div>
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<div class="line"><span class="lineno"> 58</span> <span class="keywordflow">for</span> (i = 2; i <= number; i++) <span class="comment">/* Multiply every number from 2 thru N */</span></div>
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<div class="line"><span class="lineno"> 59</span> result *= i;</div>
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<div class="line"><span class="lineno"> 60</span> </div>
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<div class="line"><span class="lineno"> 61</span> <span class="keyword">const</span> <span class="keywordtype">char</span> *known_reslt =</div>
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<div class="line"><span class="lineno"> 62</span> <span class="stringliteral">"9332621544394415268169923885626670049071596826438162146859296389521759"</span></div>
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<div class="line"><span class="lineno"> 63</span> <span class="stringliteral">"9993229915608941463976156518286253697920827223758251185210916864000000"</span></div>
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<div class="line"><span class="lineno"> 64</span> <span class="stringliteral">"000000000000000000"</span>;</div>
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<div class="line"><span class="lineno"> 65</span> </div>
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<div class="line"><span class="lineno"> 66</span> <span class="comment">/* check 1 */</span></div>
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<div class="line"><span class="lineno"> 67</span> <span class="keywordflow">if</span> (<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/byte/strlen.html">strlen</a>(known_reslt) != <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a>.num_digits()) {</div>
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<div class="line"><span class="lineno"> 68</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cerr</a> << <span class="stringliteral">"Result lengths dont match! "</span> << <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/byte/strlen.html">strlen</a>(known_reslt)</div>
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<div class="line"><span class="lineno"> 69</span> << <span class="stringliteral">" != "</span> << <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a>.num_digits() << <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><span class="lineno"> 70</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
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<div class="line"><span class="lineno"> 71</span> }</div>
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<div class="line"><span class="lineno"> 72</span> </div>
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<div class="line"><span class="lineno"> 73</span> <span class="keyword">const</span> <span class="keywordtype">size_t</span> <a class="code hl_variable" href="../../d6/d42/data__structures_2sparse__table_8cpp.html#a10f3ffb3f6f7e1b83d556b9c8de89a5d">N</a> = <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a>.num_digits();</div>
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<div class="line"><span class="lineno"> 74</span> <span class="keywordflow">for</span> (i = 0; i < <a class="code hl_variable" href="../../d6/d42/data__structures_2sparse__table_8cpp.html#a10f3ffb3f6f7e1b83d556b9c8de89a5d">N</a>; i++) {</div>
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<div class="line"><span class="lineno"> 75</span> <span class="keywordflow">if</span> (known_reslt[i] != <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a>.digit_char(i)) {</div>
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<div class="line"><span class="lineno"> 76</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cerr</a> << i << <span class="stringliteral">"^th digit mismatch! "</span> << known_reslt[i]</div>
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<div class="line"><span class="lineno"> 77</span> << <span class="stringliteral">" != "</span> << <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a>.digit_char(i) << <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><span class="lineno"> 78</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
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<div class="line"><span class="lineno"> 79</span> }</div>
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<div class="line"><span class="lineno"> 80</span> }</div>
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<div class="line"><span class="lineno"> 81</span> </div>
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<div class="line"><span class="lineno"> 82</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"Passed!"</span> << <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><span class="lineno"> 83</span> <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
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<div class="line"><span class="lineno"> 84</span>}</div>
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