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realstealthninja
2025-05-19 11:38:33 +00:00
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<title>TheAlgorithms/C++: math/binomial_calculate.cpp Source File</title>
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@@ -60,7 +60,7 @@ window.MathJax = {
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@@ -124,12 +124,13 @@ $(function(){initNavTree('d8/db1/binomial__calculate_8cpp_source.html','../../')
<div class="headertitle"><div class="title">binomial_calculate.cpp</div></div>
</div><!--header-->
<div class="contents">
<a href="../../d8/db1/binomial__calculate_8cpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno"> 1</span> </div>
<a href="../../d8/db1/binomial__calculate_8cpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno"> 1</span></div>
<div class="line"><a id="l00008" name="l00008"></a><span class="lineno"> 8</span> </div>
<div class="line"><a id="l00009" name="l00009"></a><span class="lineno"> 9</span><span class="preprocessor">#include &lt;cassert&gt;</span> </div>
<div class="line"><a id="l00010" name="l00010"></a><span class="lineno"> 10</span><span class="preprocessor">#include &lt;cstdint&gt;</span> </div>
<div class="line"><a id="l00011" name="l00011"></a><span class="lineno"> 11</span><span class="preprocessor">#include &lt;cstdlib&gt;</span> </div>
<div class="line"><a id="l00012" name="l00012"></a><span class="lineno"> 12</span><span class="preprocessor">#include &lt;iostream&gt;</span> </div>
<div class="line"><a id="l00013" name="l00013"></a><span class="lineno"> 13</span> </div>
<div class="line"><a id="l00013" name="l00013"></a><span class="lineno"> 13</span></div>
<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span><span class="keyword">namespace </span><a class="code hl_namespace" href="../../dd/d47/namespacemath.html">math</a> {</div>
<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span><span class="keyword">namespace </span><a class="code hl_namespace" href="../../d7/d7a/namespacebinomial.html">binomial</a> {</div>
<div class="foldopen" id="foldopen00032" data-start="{" data-end="}">
@@ -153,26 +154,26 @@ $(function(){initNavTree('d8/db1/binomial__calculate_8cpp_source.html','../../')
</div>
<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span>} <span class="comment">// namespace binomial</span></div>
<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span>} <span class="comment">// namespace math</span></div>
<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span> </div>
<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span></div>
<div class="foldopen" id="foldopen00056" data-start="{" data-end="}">
<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"><a class="line" href="../../d8/db1/binomial__calculate_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e"> 56</a></span><span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code hl_function" href="../../d8/db1/binomial__calculate_8cpp.html#a483bb8ccf42aaf7375a83e91490eda1e">tests</a>() {</div>
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> <span class="comment">// tests for calculate function</span></div>
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> assert(math::binomial::calculate(1, 1) == 1);</div>
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> assert(math::binomial::calculate(57, 57) == 1);</div>
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span> assert(math::binomial::calculate(6, 3) == 20);</div>
<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> assert(math::binomial::calculate(10, 5) == 252);</div>
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> assert(math::binomial::calculate(20, 10) == 184756);</div>
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> assert(math::binomial::calculate(30, 15) == 155117520);</div>
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> assert(math::binomial::calculate(40, 20) == 137846528820);</div>
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> assert(math::binomial::calculate(50, 25) == 126410606437752);</div>
<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> assert(math::binomial::calculate(60, 30) == 118264581564861424);</div>
<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span> assert(math::binomial::calculate(62, 31) == 465428353255261088);</div>
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> assert(<a class="code hl_function" href="../../d8/db1/binomial__calculate_8cpp.html#aae407a2a13362c4c64fbe509ff325978">math::binomial::calculate</a>(1, 1) == 1);</div>
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> assert(<a class="code hl_function" href="../../d8/db1/binomial__calculate_8cpp.html#aae407a2a13362c4c64fbe509ff325978">math::binomial::calculate</a>(57, 57) == 1);</div>
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span> assert(<a class="code hl_function" href="../../d8/db1/binomial__calculate_8cpp.html#aae407a2a13362c4c64fbe509ff325978">math::binomial::calculate</a>(6, 3) == 20);</div>
<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> assert(<a class="code hl_function" href="../../d8/db1/binomial__calculate_8cpp.html#aae407a2a13362c4c64fbe509ff325978">math::binomial::calculate</a>(10, 5) == 252);</div>
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> assert(<a class="code hl_function" href="../../d8/db1/binomial__calculate_8cpp.html#aae407a2a13362c4c64fbe509ff325978">math::binomial::calculate</a>(20, 10) == 184756);</div>
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> assert(<a class="code hl_function" href="../../d8/db1/binomial__calculate_8cpp.html#aae407a2a13362c4c64fbe509ff325978">math::binomial::calculate</a>(30, 15) == 155117520);</div>
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> assert(<a class="code hl_function" href="../../d8/db1/binomial__calculate_8cpp.html#aae407a2a13362c4c64fbe509ff325978">math::binomial::calculate</a>(40, 20) == 137846528820);</div>
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> assert(<a class="code hl_function" href="../../d8/db1/binomial__calculate_8cpp.html#aae407a2a13362c4c64fbe509ff325978">math::binomial::calculate</a>(50, 25) == 126410606437752);</div>
<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> assert(<a class="code hl_function" href="../../d8/db1/binomial__calculate_8cpp.html#aae407a2a13362c4c64fbe509ff325978">math::binomial::calculate</a>(60, 30) == 118264581564861424);</div>
<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span> assert(<a class="code hl_function" href="../../d8/db1/binomial__calculate_8cpp.html#aae407a2a13362c4c64fbe509ff325978">math::binomial::calculate</a>(62, 31) == 465428353255261088);</div>
<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> </div>
<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span> std::cout &lt;&lt; <span class="stringliteral">&quot;[+] Binomial coefficients calculate test completed&quot;</span></div>
<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span> &lt;&lt; std::endl;</div>
<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span>}</div>
</div>
<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span> </div>
<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span></div>
<div class="foldopen" id="foldopen00079" data-start="{" data-end="}">
<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"><a class="line" href="../../d8/db1/binomial__calculate_8cpp.html#ac0f2228420376f4db7e1274f2b41667c"> 79</a></span><span class="keywordtype">int</span> <a class="code hl_function" href="../../dd/d1e/generate__parentheses_8cpp.html#gae66f6b31b5ad750f1fe042a706a4e3d4">main</a>(<span class="keywordtype">int</span> argc, <span class="keyword">const</span> <span class="keywordtype">char</span>* argv[]) {</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>
@@ -185,7 +186,7 @@ $(function(){initNavTree('d8/db1/binomial__calculate_8cpp_source.html','../../')
<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span> int32_t n = atoi(argv[1]);</div>
<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span> int32_t k = atoi(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> std::cout &lt;&lt; math::binomial::calculate(n, k) &lt;&lt; std::endl;</div>
<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span> std::cout &lt;&lt; <a class="code hl_function" href="../../d8/db1/binomial__calculate_8cpp.html#aae407a2a13362c4c64fbe509ff325978">math::binomial::calculate</a>(n, k) &lt;&lt; std::endl;</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>
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@@ -200,7 +201,7 @@ $(function(){initNavTree('d8/db1/binomial__calculate_8cpp_source.html','../../')
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