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<title>Algorithms_in_C++: math/binomial_calculate.cpp File Reference</title>
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<div id="projectname">Algorithms_in_C++<span id="projectnumber"> 1.0.0</span>
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<div id="projectbrief">Set of algorithms implemented in C++.</div>
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@@ -41,7 +41,7 @@ MathJax.Hub.Config({
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@@ -170,23 +170,23 @@ Functions</h2></td></tr>
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</dd>
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||||
</dl>
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<dl class="section return"><dt>Returns</dt><dd>binomial coefficient for n and k </dd></dl>
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<div class="fragment"><div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span> {</div>
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<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span> <span class="comment">// basic cases</span></div>
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<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span> <span class="keywordflow">if</span> (k > (n / 2))</div>
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||||
<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span> <a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a1b74d828b33760094906797042b89442">k</a> = n - <a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a1b74d828b33760094906797042b89442">k</a>;</div>
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||||
<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span> <span class="keywordflow">if</span> (k == 1)</div>
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<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span> <span class="keywordflow">return</span> n;</div>
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<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span> <span class="keywordflow">if</span> (k == 0)</div>
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<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span> <span class="keywordflow">return</span> 1;</div>
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<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span> </div>
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<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span> <span class="keywordtype">size_t</span> <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a> = 1;</div>
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||||
<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span> <span class="keywordflow">for</span> (int32_t i = 1; i <= <a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a1b74d828b33760094906797042b89442">k</a>; ++i) {</div>
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||||
<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span> <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a> *= n - <a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a1b74d828b33760094906797042b89442">k</a> + i;</div>
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||||
<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span> <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a> /= i;</div>
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<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span> }</div>
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<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span> </div>
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<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span> <span class="keywordflow">return</span> <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a>;</div>
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<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span>}</div>
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<div class="fragment"><div class="line"><span class="lineno"> 32</span> {</div>
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<div class="line"><span class="lineno"> 33</span> <span class="comment">// basic cases</span></div>
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<div class="line"><span class="lineno"> 34</span> <span class="keywordflow">if</span> (k > (n / 2))</div>
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||||
<div class="line"><span class="lineno"> 35</span> <a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a1b74d828b33760094906797042b89442">k</a> = n - <a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a1b74d828b33760094906797042b89442">k</a>;</div>
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||||
<div class="line"><span class="lineno"> 36</span> <span class="keywordflow">if</span> (k == 1)</div>
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<div class="line"><span class="lineno"> 37</span> <span class="keywordflow">return</span> n;</div>
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<div class="line"><span class="lineno"> 38</span> <span class="keywordflow">if</span> (k == 0)</div>
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<div class="line"><span class="lineno"> 39</span> <span class="keywordflow">return</span> 1;</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> <span class="keywordtype">size_t</span> <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a> = 1;</div>
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||||
<div class="line"><span class="lineno"> 42</span> <span class="keywordflow">for</span> (int32_t i = 1; i <= <a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a1b74d828b33760094906797042b89442">k</a>; ++i) {</div>
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||||
<div class="line"><span class="lineno"> 43</span> <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a> *= n - <a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a1b74d828b33760094906797042b89442">k</a> + i;</div>
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||||
<div class="line"><span class="lineno"> 44</span> <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a> /= i;</div>
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<div class="line"><span class="lineno"> 45</span> }</div>
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<div class="line"><span class="lineno"> 46</span> </div>
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<div class="line"><span class="lineno"> 47</span> <span class="keywordflow">return</span> <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"> 48</span>}</div>
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||||
<div class="ttc" id="acomposite__simpson__rule_8cpp_html_a1b74d828b33760094906797042b89442"><div class="ttname"><a href="../../d4/d18/composite__simpson__rule_8cpp.html#a1b74d828b33760094906797042b89442">numerical_methods::simpson_method::k</a></div><div class="ttdeci">double k(double x)</div><div class="ttdoc">Another test function.</div><div class="ttdef"><b>Definition:</b> composite_simpson_rule.cpp:117</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><!-- fragment --><div class="dynheader">
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@@ -233,20 +233,20 @@ Here is the call graph for this function:</div>
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</dd>
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</dl>
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<dl class="section return"><dt>Returns</dt><dd>0 on exit </dd></dl>
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<div class="fragment"><div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span> {</div>
|
||||
<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> <a class="code hl_function" href="../../d8/db1/binomial__calculate_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">tests</a>(); <span class="comment">// run self-test implementations</span></div>
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||||
<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span> </div>
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<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span> <span class="keywordflow">if</span> (argc < 3) {</div>
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<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</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">"Usage ./binomial_calculate {n} {k}"</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"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> <span class="keywordflow">return</span> 0;</div>
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||||
<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span> }</div>
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<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span> </div>
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||||
<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span> int32_t n = <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/byte/atoi.html">atoi</a>(argv[1]);</div>
|
||||
<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span> int32_t <a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a1b74d828b33760094906797042b89442">k</a> = <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/byte/atoi.html">atoi</a>(argv[2]);</div>
|
||||
<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span> </div>
|
||||
<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <a class="code hl_function" href="../../d8/db1/binomial__calculate_8cpp.html#aae407a2a13362c4c64fbe509ff325978">math::binomial::calculate</a>(n, k) << <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
|
||||
<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span> <span class="keywordflow">return</span> 0;</div>
|
||||
<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span>}</div>
|
||||
<div class="fragment"><div class="line"><span class="lineno"> 79</span> {</div>
|
||||
<div class="line"><span class="lineno"> 80</span> <a class="code hl_function" href="../../d8/db1/binomial__calculate_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">tests</a>(); <span class="comment">// run self-test implementations</span></div>
|
||||
<div class="line"><span class="lineno"> 81</span> </div>
|
||||
<div class="line"><span class="lineno"> 82</span> <span class="keywordflow">if</span> (argc < 3) {</div>
|
||||
<div class="line"><span class="lineno"> 83</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">"Usage ./binomial_calculate {n} {k}"</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"> 84</span> <span class="keywordflow">return</span> 0;</div>
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||||
<div class="line"><span class="lineno"> 85</span> }</div>
|
||||
<div class="line"><span class="lineno"> 86</span> </div>
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||||
<div class="line"><span class="lineno"> 87</span> int32_t n = <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/byte/atoi.html">atoi</a>(argv[1]);</div>
|
||||
<div class="line"><span class="lineno"> 88</span> int32_t <a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a1b74d828b33760094906797042b89442">k</a> = <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/byte/atoi.html">atoi</a>(argv[2]);</div>
|
||||
<div class="line"><span class="lineno"> 89</span> </div>
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||||
<div class="line"><span class="lineno"> 90</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <a class="code hl_function" href="../../d8/db1/binomial__calculate_8cpp.html#aae407a2a13362c4c64fbe509ff325978">math::binomial::calculate</a>(n, k) << <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"> 91</span> <span class="keywordflow">return</span> 0;</div>
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||||
<div class="line"><span class="lineno"> 92</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>
|
||||
<div class="ttc" id="abasic_ostream_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a></div></div>
|
||||
<div class="ttc" id="abinomial__calculate_8cpp_html_a483bb8ccf42aaf7375a83e91490eda1e"><div class="ttname"><a href="../../d8/db1/binomial__calculate_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">tests</a></div><div class="ttdeci">static void tests()</div><div class="ttdoc">Test implementations.</div><div class="ttdef"><b>Definition:</b> binomial_calculate.cpp:56</div></div>
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@@ -286,22 +286,22 @@ Here is the call graph for this function:</div>
|
||||
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||||
<p>Test implementations. </p>
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||||
<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
|
||||
<div class="fragment"><div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> {</div>
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||||
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> <span class="comment">// tests for calculate function</span></div>
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||||
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> assert(math::binomial::calculate(1, 1) == 1);</div>
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||||
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> assert(math::binomial::calculate(57, 57) == 1);</div>
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||||
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span> assert(math::binomial::calculate(6, 3) == 20);</div>
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||||
<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> assert(math::binomial::calculate(10, 5) == 252);</div>
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||||
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> assert(math::binomial::calculate(20, 10) == 184756);</div>
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||||
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> assert(math::binomial::calculate(30, 15) == 155117520);</div>
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||||
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> assert(math::binomial::calculate(40, 20) == 137846528820);</div>
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||||
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> assert(math::binomial::calculate(50, 25) == 126410606437752);</div>
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||||
<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> assert(math::binomial::calculate(60, 30) == 118264581564861424);</div>
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<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span> assert(math::binomial::calculate(62, 31) == 465428353255261088);</div>
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<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> </div>
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<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</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">"[+] Binomial coefficients calculate test completed"</span></div>
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||||
<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</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"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span>}</div>
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<div class="fragment"><div class="line"><span class="lineno"> 56</span> {</div>
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<div class="line"><span class="lineno"> 57</span> <span class="comment">// tests for calculate function</span></div>
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<div class="line"><span class="lineno"> 58</span> assert(math::binomial::calculate(1, 1) == 1);</div>
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<div class="line"><span class="lineno"> 59</span> assert(math::binomial::calculate(57, 57) == 1);</div>
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<div class="line"><span class="lineno"> 60</span> assert(math::binomial::calculate(6, 3) == 20);</div>
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||||
<div class="line"><span class="lineno"> 61</span> assert(math::binomial::calculate(10, 5) == 252);</div>
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||||
<div class="line"><span class="lineno"> 62</span> assert(math::binomial::calculate(20, 10) == 184756);</div>
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<div class="line"><span class="lineno"> 63</span> assert(math::binomial::calculate(30, 15) == 155117520);</div>
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<div class="line"><span class="lineno"> 64</span> assert(math::binomial::calculate(40, 20) == 137846528820);</div>
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||||
<div class="line"><span class="lineno"> 65</span> assert(math::binomial::calculate(50, 25) == 126410606437752);</div>
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<div class="line"><span class="lineno"> 66</span> assert(math::binomial::calculate(60, 30) == 118264581564861424);</div>
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<div class="line"><span class="lineno"> 67</span> assert(math::binomial::calculate(62, 31) == 465428353255261088);</div>
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<div class="line"><span class="lineno"> 68</span> </div>
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<div class="line"><span class="lineno"> 69</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">"[+] Binomial coefficients calculate test completed"</span></div>
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<div class="line"><span class="lineno"> 70</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"> 71</span>}</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">
|
||||
@@ -317,7 +317,7 @@ Here is the call graph for this function:</div>
|
||||
<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
|
||||
<ul>
|
||||
<li class="navelem"><a class="el" href="../../dir_296d53ceaeaa7e099814a6def439fe8a.html">math</a></li><li class="navelem"><a class="el" href="../../d8/db1/binomial__calculate_8cpp.html">binomial_calculate.cpp</a></li>
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<li class="footer">Generated by <a href="https://www.doxygen.org/index.html"><img class="footer" src="../../doxygen.svg" width="104" height="31" alt="doxygen"/></a> 1.9.2 </li>
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Reference in New Issue
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