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<title>TheAlgorithms/C++: math/binomial_calculate.cpp File Reference</title>
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@@ -202,22 +202,20 @@ Functions</h2></td></tr>
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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"> 35</span> k = n - k;</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"> 41</span> <span class="keywordtype">size_t</span> result = 1;</div>
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<div class="line"><span class="lineno"> 42</span> <span class="keywordflow">for</span> (int32_t i = 1; i <= k; ++i) {</div>
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<div class="line"><span class="lineno"> 43</span> result *= n - k + i;</div>
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<div class="line"><span class="lineno"> 44</span> result /= 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"> 47</span> <span class="keywordflow">return</span> result;</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> <a href="../../d4/d18/composite__simpson__rule_8cpp_source.html#l00117">composite_simpson_rule.cpp:117</a></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> <a href="../../de/dc3/fibonacci__sum_8cpp_source.html#l00077">fibonacci_sum.cpp:77</a></div></div>
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@@ -267,6 +265,7 @@ Functions</h2></td></tr>
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<div class="line"><span class="lineno"> 92</span>}</div>
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<div class="ttc" id="abinomial__calculate_8cpp_html_a483bb8ccf42aaf7375a83e91490eda1e"><div class="ttname"><a href="#a483bb8ccf42aaf7375a83e91490eda1e">tests</a></div><div class="ttdeci">static void tests()</div><div class="ttdoc">Test implementations.</div><div class="ttdef"><b>Definition</b> <a href="../../d8/db1/binomial__calculate_8cpp_source.html#l00056">binomial_calculate.cpp:56</a></div></div>
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<div class="ttc" id="abinomial__calculate_8cpp_html_aae407a2a13362c4c64fbe509ff325978"><div class="ttname"><a href="#aae407a2a13362c4c64fbe509ff325978">math::binomial::calculate</a></div><div class="ttdeci">size_t calculate(int32_t n, int32_t k)</div><div class="ttdoc">Function to calculate binomial coefficients.</div><div class="ttdef"><b>Definition</b> <a href="../../d8/db1/binomial__calculate_8cpp_source.html#l00032">binomial_calculate.cpp:32</a></div></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> <a href="../../d4/d18/composite__simpson__rule_8cpp_source.html#l00117">composite_simpson_rule.cpp:117</a></div></div>
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@@ -288,7 +287,7 @@ Functions</h2></td></tr>
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<td class="mlabels-right">
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<span class="mlabels"><span class="mlabel">static</span></span> </td>
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<span class="mlabels"><span class="mlabel static">static</span></span> </td>
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@@ -299,16 +298,16 @@ Functions</h2></td></tr>
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<p class="definition">Definition at line <a class="el" href="../../d8/db1/binomial__calculate_8cpp_source.html#l00056">56</a> of file <a class="el" href="../../d8/db1/binomial__calculate_8cpp_source.html">binomial_calculate.cpp</a>.</p>
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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"> 58</span> assert(<a class="code hl_function" href="#aae407a2a13362c4c64fbe509ff325978">math::binomial::calculate</a>(1, 1) == 1);</div>
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<div class="line"><span class="lineno"> 59</span> assert(<a class="code hl_function" href="#aae407a2a13362c4c64fbe509ff325978">math::binomial::calculate</a>(57, 57) == 1);</div>
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<div class="line"><span class="lineno"> 60</span> assert(<a class="code hl_function" href="#aae407a2a13362c4c64fbe509ff325978">math::binomial::calculate</a>(6, 3) == 20);</div>
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<div class="line"><span class="lineno"> 61</span> assert(<a class="code hl_function" href="#aae407a2a13362c4c64fbe509ff325978">math::binomial::calculate</a>(10, 5) == 252);</div>
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<div class="line"><span class="lineno"> 62</span> assert(<a class="code hl_function" href="#aae407a2a13362c4c64fbe509ff325978">math::binomial::calculate</a>(20, 10) == 184756);</div>
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<div class="line"><span class="lineno"> 63</span> assert(<a class="code hl_function" href="#aae407a2a13362c4c64fbe509ff325978">math::binomial::calculate</a>(30, 15) == 155117520);</div>
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<div class="line"><span class="lineno"> 64</span> assert(<a class="code hl_function" href="#aae407a2a13362c4c64fbe509ff325978">math::binomial::calculate</a>(40, 20) == 137846528820);</div>
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<div class="line"><span class="lineno"> 65</span> assert(<a class="code hl_function" href="#aae407a2a13362c4c64fbe509ff325978">math::binomial::calculate</a>(50, 25) == 126410606437752);</div>
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<div class="line"><span class="lineno"> 66</span> assert(<a class="code hl_function" href="#aae407a2a13362c4c64fbe509ff325978">math::binomial::calculate</a>(60, 30) == 118264581564861424);</div>
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<div class="line"><span class="lineno"> 67</span> assert(<a class="code hl_function" href="#aae407a2a13362c4c64fbe509ff325978">math::binomial::calculate</a>(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> std::cout << <span class="stringliteral">"[+] Binomial coefficients calculate test completed"</span></div>
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<div class="line"><span class="lineno"> 70</span> << std::endl;</div>
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@@ -322,7 +321,7 @@ Functions</h2></td></tr>
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