mirror of
https://github.com/TheAlgorithms/C-Plus-Plus.git
synced 2026-03-24 22:02:20 +08:00
Documentation for 8b1eab204b
This commit is contained in:
realstealthninja
@@ -1,3 +1,4 @@
|
||||
<!-- HTML header for doxygen 1.12.0-->
|
||||
<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "https://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
|
||||
<html xmlns="http://www.w3.org/1999/xhtml" lang="en-US">
|
||||
<head>
|
||||
@@ -5,10 +6,15 @@
|
||||
<meta http-equiv="X-UA-Compatible" content="IE=11"/>
|
||||
<meta name="generator" content="Doxygen 1.12.0"/>
|
||||
<meta name="viewport" content="width=device-width, initial-scale=1"/>
|
||||
<title>Algorithms_in_C++: math/sum_of_binomial_coefficient.cpp File Reference</title>
|
||||
<title>TheAlgorithms/C++: math/sum_of_binomial_coefficient.cpp File Reference</title>
|
||||
<link rel="icon" href="../../favicon.svg" type="image/x-icon" />
|
||||
<link href="../../tabs.css" rel="stylesheet" type="text/css"/>
|
||||
<script type="text/javascript" src="../../jquery.js"></script>
|
||||
<script type="text/javascript" src="../../dynsections.js"></script>
|
||||
<script type="text/javascript" src="https://cdn.jsdelivr.net/npm/@xpack-3rd-party/doxygen-awesome-css@2.2.0-1/doxygen-awesome-darkmode-toggle.js"></script>
|
||||
<script type="text/javascript">
|
||||
DoxygenAwesomeDarkModeToggle.init()
|
||||
</script>
|
||||
<script type="text/javascript" src="../../clipboard.js"></script>
|
||||
<link href="../../navtree.css" rel="stylesheet" type="text/css"/>
|
||||
<script type="text/javascript" src="../../navtreedata.js"></script>
|
||||
@@ -18,14 +24,24 @@
|
||||
<link href="../../search/search.css" rel="stylesheet" type="text/css"/>
|
||||
<script type="text/javascript" src="../../search/searchdata.js"></script>
|
||||
<script type="text/javascript" src="../../search/search.js"></script>
|
||||
<script type="text/x-mathjax-config">
|
||||
MathJax.Hub.Config({
|
||||
extensions: ["tex2jax.js", "TeX/AMSmath.js", "TeX/AMSsymbols.js"],
|
||||
jax: ["input/TeX","output/HTML-CSS"],
|
||||
});
|
||||
<script type="text/javascript">
|
||||
window.MathJax = {
|
||||
options: {
|
||||
ignoreHtmlClass: 'tex2jax_ignore',
|
||||
processHtmlClass: 'tex2jax_process'
|
||||
},
|
||||
loader: {
|
||||
load: ['[tex]/ams']
|
||||
},
|
||||
tex: {
|
||||
macros: {},
|
||||
packages: ['base','configmacros','ams']
|
||||
}
|
||||
};
|
||||
</script>
|
||||
<script type="text/javascript" async="async" src="https://cdnjs.cloudflare.com/ajax/libs/mathjax/2.7.7/MathJax.js?config=TeX-MML-AM_CHTML/MathJax.js"></script>
|
||||
<script type="text/javascript" id="MathJax-script" async="async" src="https://cdn.jsdelivr.net/npm/mathjax@3/es5/tex-chtml.js"></script>
|
||||
<link href="../../doxygen.css" rel="stylesheet" type="text/css" />
|
||||
<link href="../../doxygen-awesome.css" rel="stylesheet" type="text/css"/>
|
||||
</head>
|
||||
<body>
|
||||
<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
|
||||
@@ -33,10 +49,11 @@ MathJax.Hub.Config({
|
||||
<table cellspacing="0" cellpadding="0">
|
||||
<tbody>
|
||||
<tr id="projectrow">
|
||||
<td id="projectlogo"><img alt="Logo" src="../../project_logo.png"/></td>
|
||||
<td id="projectalign">
|
||||
<div id="projectname">Algorithms_in_C++<span id="projectnumber"> 1.0.0</span>
|
||||
<div id="projectname">TheAlgorithms/C++<span id="projectnumber"> 1.0.0</span>
|
||||
</div>
|
||||
<div id="projectbrief">Set of algorithms implemented in C++.</div>
|
||||
<div id="projectbrief">All the algorithms implemented in C++</div>
|
||||
</td>
|
||||
</tr>
|
||||
</tbody>
|
||||
@@ -121,7 +138,9 @@ Include dependency graph for sum_of_binomial_coefficient.cpp:</div>
|
||||
<div class="dyncontent">
|
||||
<div class="center"><iframe scrolling="no" frameborder="0" src="../../de/d59/sum__of__binomial__coefficient_8cpp__incl.svg" width="255" height="126"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe></div>
|
||||
</div>
|
||||
</div><table class="memberdecls">
|
||||
</div>
|
||||
<p><a href="../../d4/d9d/sum__of__binomial__coefficient_8cpp_source.html">Go to the source code of this file.</a></p>
|
||||
<table class="memberdecls">
|
||||
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="namespaces" name="namespaces"></a>
|
||||
Namespaces</h2></td></tr>
|
||||
<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">namespace  </td><td class="memItemRight" valign="bottom"><a class="el" href="../../dd/d47/namespacemath.html">math</a></td></tr>
|
||||
@@ -142,6 +161,8 @@ Functions</h2></td></tr>
|
||||
<div class="textblock"><p>Algorithm to find sum of binomial coefficients of a given positive integer. </p>
|
||||
<p>Given a positive integer n, the task is to find the sum of binomial coefficient i.e nC0 + nC1 + nC2 + ... + nCn-1 + nCn By induction, we can prove that the sum is equal to 2^n </p><dl class="section see"><dt>See also</dt><dd>more on <a href="https://en.wikipedia.org/wiki/Binomial_coefficient#Sums_of_the_binomial_coefficients">https://en.wikipedia.org/wiki/Binomial_coefficient#Sums_of_the_binomial_coefficients</a> </dd></dl>
|
||||
<dl class="section author"><dt>Author</dt><dd><a href="https://github.com/muskan0719" target="_blank">muskan0719</a> </dd></dl>
|
||||
|
||||
<p class="definition">Definition in file <a class="el" href="../../d4/d9d/sum__of__binomial__coefficient_8cpp_source.html">sum_of_binomial_coefficient.cpp</a>.</p>
|
||||
</div><h2 class="groupheader">Function Documentation</h2>
|
||||
<a id="ae66f6b31b5ad750f1fe042a706a4e3d4" name="ae66f6b31b5ad750f1fe042a706a4e3d4"></a>
|
||||
<h2 class="memtitle"><span class="permalink"><a href="#ae66f6b31b5ad750f1fe042a706a4e3d4">◆ </a></span>main()</h2>
|
||||
@@ -160,17 +181,14 @@ Functions</h2></td></tr>
|
||||
|
||||
<p>Main function. </p>
|
||||
<dl class="section return"><dt>Returns</dt><dd>0 on exit </dd></dl>
|
||||
|
||||
<p class="definition">Definition at line <a class="el" href="../../d4/d9d/sum__of__binomial__coefficient_8cpp_source.html#l00064">64</a> of file <a class="el" href="../../d4/d9d/sum__of__binomial__coefficient_8cpp_source.html">sum_of_binomial_coefficient.cpp</a>.</p>
|
||||
<div class="fragment"><div class="line"><span class="lineno"> 64</span> {</div>
|
||||
<div class="line"><span class="lineno"> 65</span> <a class="code hl_function" href="#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// execute the tests</span></div>
|
||||
<div class="line"><span class="lineno"> 66</span> <span class="keywordflow">return</span> 0;</div>
|
||||
<div class="line"><span class="lineno"> 67</span>}</div>
|
||||
<div class="ttc" id="asum__of__binomial__coefficient_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="#aa8dca7b867074164d5f45b0f3851269d">test</a></div><div class="ttdeci">static void test()</div><div class="ttdef"><b>Definition</b> sum_of_binomial_coefficient.cpp:38</div></div>
|
||||
</div><!-- fragment --><div class="dynheader">
|
||||
Here is the call graph for this function:</div>
|
||||
<div class="dyncontent">
|
||||
<div class="center"><iframe scrolling="no" frameborder="0" src="../../d4/d9d/sum__of__binomial__coefficient_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.svg" width="366" height="86"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe></div>
|
||||
</div>
|
||||
|
||||
<div class="ttc" id="asum__of__binomial__coefficient_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="#aa8dca7b867074164d5f45b0f3851269d">test</a></div><div class="ttdeci">static void test()</div><div class="ttdef"><b>Definition</b> <a href="../../d4/d9d/sum__of__binomial__coefficient_8cpp_source.html#l00038">sum_of_binomial_coefficient.cpp:38</a></div></div>
|
||||
</div><!-- fragment -->
|
||||
</div>
|
||||
</div>
|
||||
<a id="aa8dca7b867074164d5f45b0f3851269d" name="aa8dca7b867074164d5f45b0f3851269d"></a>
|
||||
@@ -196,36 +214,31 @@ Here is the call graph for this function:</div>
|
||||
</table>
|
||||
</div><div class="memdoc">
|
||||
<p>Function for testing binomialCoeffSum function. test cases and assert statement. </p><dl class="section return"><dt>Returns</dt><dd><code>void</code> </dd></dl>
|
||||
|
||||
<p class="definition">Definition at line <a class="el" href="../../d4/d9d/sum__of__binomial__coefficient_8cpp_source.html#l00038">38</a> of file <a class="el" href="../../d4/d9d/sum__of__binomial__coefficient_8cpp_source.html">sum_of_binomial_coefficient.cpp</a>.</p>
|
||||
<div class="fragment"><div class="line"><span class="lineno"> 38</span> {</div>
|
||||
<div class="line"><span class="lineno"> 39</span> <span class="keywordtype">int</span> test_case_1 = <a class="code hl_function" href="../../dd/d47/namespacemath.html#ae1ca505751f5a6d3977b86372cfe75ea">math::binomialCoeffSum</a>(2);</div>
|
||||
<div class="line"><span class="lineno"> 40</span> assert(test_case_1 == 4);</div>
|
||||
<div class="line"><span class="lineno"> 41</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">"Test_case_1 Passed!"</span> << <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"><span class="lineno"> 41</span> std::cout << <span class="stringliteral">"Test_case_1 Passed!"</span> << std::endl;</div>
|
||||
<div class="line"><span class="lineno"> 42</span> </div>
|
||||
<div class="line"><span class="lineno"> 43</span> <span class="keywordtype">int</span> test_case_2 = <a class="code hl_function" href="../../dd/d47/namespacemath.html#ae1ca505751f5a6d3977b86372cfe75ea">math::binomialCoeffSum</a>(3);</div>
|
||||
<div class="line"><span class="lineno"> 44</span> assert(test_case_2 == 8);</div>
|
||||
<div class="line"><span class="lineno"> 45</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">"Test_case_2 Passed!"</span> << <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"><span class="lineno"> 45</span> std::cout << <span class="stringliteral">"Test_case_2 Passed!"</span> << std::endl;</div>
|
||||
<div class="line"><span class="lineno"> 46</span> </div>
|
||||
<div class="line"><span class="lineno"> 47</span> <span class="keywordtype">int</span> test_case_3 = <a class="code hl_function" href="../../dd/d47/namespacemath.html#ae1ca505751f5a6d3977b86372cfe75ea">math::binomialCoeffSum</a>(4);</div>
|
||||
<div class="line"><span class="lineno"> 48</span> assert(test_case_3 == 16);</div>
|
||||
<div class="line"><span class="lineno"> 49</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">"Test_case_3 Passed!"</span> << <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"><span class="lineno"> 49</span> std::cout << <span class="stringliteral">"Test_case_3 Passed!"</span> << std::endl;</div>
|
||||
<div class="line"><span class="lineno"> 50</span> </div>
|
||||
<div class="line"><span class="lineno"> 51</span> <span class="keywordtype">int</span> test_case_4 = <a class="code hl_function" href="../../dd/d47/namespacemath.html#ae1ca505751f5a6d3977b86372cfe75ea">math::binomialCoeffSum</a>(5);</div>
|
||||
<div class="line"><span class="lineno"> 52</span> assert(test_case_4 == 32);</div>
|
||||
<div class="line"><span class="lineno"> 53</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">"Test_case_4 Passed!"</span> << <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"><span class="lineno"> 53</span> std::cout << <span class="stringliteral">"Test_case_4 Passed!"</span> << std::endl;</div>
|
||||
<div class="line"><span class="lineno"> 54</span> </div>
|
||||
<div class="line"><span class="lineno"> 55</span> <span class="keywordtype">int</span> test_case_5 = <a class="code hl_function" href="../../dd/d47/namespacemath.html#ae1ca505751f5a6d3977b86372cfe75ea">math::binomialCoeffSum</a>(7);</div>
|
||||
<div class="line"><span class="lineno"> 56</span> assert(test_case_5 == 128);</div>
|
||||
<div class="line"><span class="lineno"> 57</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">"Test_case_5 Passed!"</span> << <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"><span class="lineno"> 57</span> std::cout << <span class="stringliteral">"Test_case_5 Passed!"</span> << std::endl;</div>
|
||||
<div class="line"><span class="lineno"> 58</span>}</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="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>
|
||||
<div class="ttc" id="anamespacemath_html_ae1ca505751f5a6d3977b86372cfe75ea"><div class="ttname"><a href="../../dd/d47/namespacemath.html#ae1ca505751f5a6d3977b86372cfe75ea">math::binomialCoeffSum</a></div><div class="ttdeci">uint64_t binomialCoeffSum(uint64_t n)</div><div class="ttdef"><b>Definition</b> sum_of_binomial_coefficient.cpp:27</div></div>
|
||||
</div><!-- fragment --><div class="dynheader">
|
||||
Here is the call graph for this function:</div>
|
||||
<div class="dyncontent">
|
||||
<div class="center"><iframe scrolling="no" frameborder="0" src="../../d4/d9d/sum__of__binomial__coefficient_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.svg" width="268" height="86"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe></div>
|
||||
</div>
|
||||
|
||||
<div class="ttc" id="anamespacemath_html_ae1ca505751f5a6d3977b86372cfe75ea"><div class="ttname"><a href="../../dd/d47/namespacemath.html#ae1ca505751f5a6d3977b86372cfe75ea">math::binomialCoeffSum</a></div><div class="ttdeci">uint64_t binomialCoeffSum(uint64_t n)</div><div class="ttdef"><b>Definition</b> <a href="../../d4/d9d/sum__of__binomial__coefficient_8cpp_source.html#l00027">sum_of_binomial_coefficient.cpp:27</a></div></div>
|
||||
</div><!-- fragment -->
|
||||
</div>
|
||||
</div>
|
||||
</div><!-- contents -->
|
||||
|
||||
Reference in New Issue
Block a user