mirror of
https://github.com/TheAlgorithms/C-Plus-Plus.git
synced 2026-03-21 04:18:34 +08:00
233 lines
28 KiB
HTML
233 lines
28 KiB
HTML
<!-- 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>
|
|
<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
|
|
<meta http-equiv="X-UA-Compatible" content="IE=11"/>
|
|
<meta name="generator" content="Doxygen 1.14.0"/>
|
|
<meta name="viewport" content="width=device-width, initial-scale=1"/>
|
|
<title>TheAlgorithms/C++: math/integral_approximation.cpp Source File</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>
|
|
<script type="text/javascript" src="../../navtree.js"></script>
|
|
<script type="text/javascript" src="../../cookie.js"></script>
|
|
<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/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" 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! -->
|
|
<div id="titlearea">
|
|
<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">TheAlgorithms/C++<span id="projectnumber"> 1.0.0</span>
|
|
</div>
|
|
<div id="projectbrief">All the algorithms implemented in C++</div>
|
|
</td>
|
|
</tr>
|
|
</tbody>
|
|
</table>
|
|
</div>
|
|
<!-- end header part -->
|
|
<!-- Generated by Doxygen 1.14.0 -->
|
|
<script type="text/javascript">
|
|
var searchBox = new SearchBox("searchBox", "../../search/",'.html');
|
|
</script>
|
|
<script type="text/javascript">
|
|
$(function() { codefold.init(); });
|
|
</script>
|
|
<script type="text/javascript" src="../../menudata.js"></script>
|
|
<script type="text/javascript" src="../../menu.js"></script>
|
|
<script type="text/javascript">
|
|
$(function() {
|
|
initMenu('../../',true,false,'search.php','Search',true);
|
|
$(function() { init_search(); });
|
|
});
|
|
</script>
|
|
<div id="main-nav"></div>
|
|
</div><!-- top -->
|
|
<div id="side-nav" class="ui-resizable side-nav-resizable">
|
|
<div id="nav-tree">
|
|
<div id="nav-tree-contents">
|
|
<div id="nav-sync" class="sync"></div>
|
|
</div>
|
|
</div>
|
|
<div id="splitbar" style="-moz-user-select:none;"
|
|
class="ui-resizable-handle">
|
|
</div>
|
|
</div>
|
|
<script type="text/javascript">
|
|
$(function(){initNavTree('d1/de9/integral__approximation_8cpp_source.html','../../',''); });
|
|
</script>
|
|
<div id="container">
|
|
<div id="doc-content">
|
|
<!-- window showing the filter options -->
|
|
<div id="MSearchSelectWindow"
|
|
onmouseover="return searchBox.OnSearchSelectShow()"
|
|
onmouseout="return searchBox.OnSearchSelectHide()"
|
|
onkeydown="return searchBox.OnSearchSelectKey(event)">
|
|
</div>
|
|
|
|
<!-- iframe showing the search results (closed by default) -->
|
|
<div id="MSearchResultsWindow">
|
|
<div id="MSearchResults">
|
|
<div class="SRPage">
|
|
<div id="SRIndex">
|
|
<div id="SRResults"></div>
|
|
<div class="SRStatus" id="Loading">Loading...</div>
|
|
<div class="SRStatus" id="Searching">Searching...</div>
|
|
<div class="SRStatus" id="NoMatches">No Matches</div>
|
|
</div>
|
|
</div>
|
|
</div>
|
|
</div>
|
|
|
|
<div class="header">
|
|
<div class="headertitle"><div class="title">integral_approximation.cpp</div></div>
|
|
</div><!--header-->
|
|
<div class="contents">
|
|
<a href="../../d1/de9/integral__approximation_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="l00023" name="l00023"></a><span class="lineno"> 23</span><span class="preprocessor">#include <cassert></span> </div>
|
|
<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span><span class="preprocessor">#include <cmath></span> </div>
|
|
<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span><span class="preprocessor">#include <cstdint></span></div>
|
|
<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</span><span class="preprocessor">#include <functional></span> </div>
|
|
<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span><span class="preprocessor">#include <iostream></span> </div>
|
|
<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span></div>
|
|
<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span><span class="keyword">namespace </span><a class="code hl_namespace" href="../../dd/d47/namespacemath.html">math</a> {</div>
|
|
<div class="foldopen" id="foldopen00042" data-start="{" data-end="}">
|
|
<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"><a class="line" href="../../dd/d47/namespacemath.html#aec65db4e5c7317323227f026fe50ef11"> 42</a></span><span class="keywordtype">double</span> <a class="code hl_function" href="../../dd/d47/namespacemath.html#aec65db4e5c7317323227f026fe50ef11">integral_approx</a>(<span class="keywordtype">double</span> lb, <span class="keywordtype">double</span> ub,</div>
|
|
<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span> <span class="keyword">const</span> std::function<<span class="keywordtype">double</span>(<span class="keywordtype">double</span>)>& func,</div>
|
|
<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span> <span class="keywordtype">double</span> delta = .0001) {</div>
|
|
<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span> <span class="keywordtype">double</span> result = 0;</div>
|
|
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span> uint64_t numDeltas = <span class="keyword">static_cast<</span>uint64_t<span class="keyword">></span>((ub - lb) / delta);</div>
|
|
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < numDeltas; i++) {</div>
|
|
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span> <span class="keywordtype">double</span> begin = lb + i * delta;</div>
|
|
<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span> <span class="keywordtype">double</span> end = lb + (i + 1) * delta;</div>
|
|
<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span> result += delta * (func(begin) + func(end)) / 2;</div>
|
|
<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span> }</div>
|
|
<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span> <span class="keywordflow">return</span> result;</div>
|
|
<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span>}</div>
|
|
</div>
|
|
<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span></div>
|
|
<div class="foldopen" id="foldopen00062" data-start="{" data-end="}">
|
|
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"><a class="line" href="../../dd/d47/namespacemath.html#a50936ee98f4d40f17823befc65a32aec"> 62</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="../../dd/d47/namespacemath.html#a50936ee98f4d40f17823befc65a32aec">test_eval</a>(<span class="keywordtype">double</span> approx, <span class="keywordtype">double</span> expected, <span class="keywordtype">double</span> threshold) {</div>
|
|
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> assert(approx >= expected * (1 - threshold));</div>
|
|
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> assert(approx <= expected * (1 + threshold));</div>
|
|
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span>}</div>
|
|
</div>
|
|
<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span></div>
|
|
<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span>} <span class="comment">// namespace math</span></div>
|
|
<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span> </div>
|
|
<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span><span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code hl_function" href="../../dd/d1e/generate__parentheses_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>() {</div>
|
|
<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> <span class="keywordtype">double</span> <a class="code hl_function" href="../../d2/de9/heavy__light__decomposition_8cpp.html#a34b8683a2b429de5cce57e6d733ec817">test_1</a> = <a class="code hl_function" href="../../dd/d47/namespacemath.html#aec65db4e5c7317323227f026fe50ef11">math::integral_approx</a>(</div>
|
|
<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span> 3.24, 7.56, [](<span class="keyword">const</span> <span class="keywordtype">double</span> x) { <span class="keywordflow">return</span> <a class="code hl_function" href="../../d3/db3/lru__cache_8cpp.html#a24d21a345ed06f7fba6919718cf3e058">log</a>(x) + <a class="code hl_function" href="../../df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html#ac00616a4e40d3cd5cfb4da87d9ff9af0">exp</a>(x) + x; });</div>
|
|
<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span> std::cout << <span class="stringliteral">"Test Case 1"</span> << std::endl;</div>
|
|
<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span> std::cout << <span class="stringliteral">"function: log(x) + e^x + x"</span> << std::endl;</div>
|
|
<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> std::cout << <span class="stringliteral">"range: [3.24, 7.56]"</span> << std::endl;</div>
|
|
<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span> std::cout << <span class="stringliteral">"value: "</span> << <a class="code hl_function" href="../../d2/de9/heavy__light__decomposition_8cpp.html#a34b8683a2b429de5cce57e6d733ec817">test_1</a> << std::endl;</div>
|
|
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span> <a class="code hl_function" href="../../dd/d47/namespacemath.html#a50936ee98f4d40f17823befc65a32aec">math::test_eval</a>(<a class="code hl_function" href="../../d2/de9/heavy__light__decomposition_8cpp.html#a34b8683a2b429de5cce57e6d733ec817">test_1</a>, 1924.80384023549, .001);</div>
|
|
<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> std::cout << <span class="stringliteral">"Test 1 Passed!"</span> << std::endl;</div>
|
|
<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> std::cout << <span class="stringliteral">"====================="</span> << std::endl;</div>
|
|
<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span> </div>
|
|
<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span> <span class="keywordtype">double</span> <a class="code hl_function" href="../../d2/de9/heavy__light__decomposition_8cpp.html#a458410412185a5f09199deaff7157a8d">test_2</a> = <a class="code hl_function" href="../../dd/d47/namespacemath.html#aec65db4e5c7317323227f026fe50ef11">math::integral_approx</a>(0.023, 3.69, [](<span class="keyword">const</span> <span class="keywordtype">double</span> x) {</div>
|
|
<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span> <span class="keywordflow">return</span> x * x + cos(x) + <a class="code hl_function" href="../../df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html#ac00616a4e40d3cd5cfb4da87d9ff9af0">exp</a>(x) + <a class="code hl_function" href="../../d3/db3/lru__cache_8cpp.html#a24d21a345ed06f7fba6919718cf3e058">log</a>(x) * <a class="code hl_function" href="../../d3/db3/lru__cache_8cpp.html#a24d21a345ed06f7fba6919718cf3e058">log</a>(x);</div>
|
|
<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span> });</div>
|
|
<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span> std::cout << <span class="stringliteral">"Test Case 2"</span> << std::endl;</div>
|
|
<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span> std::cout << <span class="stringliteral">"function: x^2 + cos(x) + e^x + log^2(x)"</span> << std::endl;</div>
|
|
<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span> std::cout << <span class="stringliteral">"range: [.023, 3.69]"</span> << std::endl;</div>
|
|
<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span> std::cout << <span class="stringliteral">"value: "</span> << <a class="code hl_function" href="../../d2/de9/heavy__light__decomposition_8cpp.html#a458410412185a5f09199deaff7157a8d">test_2</a> << std::endl;</div>
|
|
<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span> <a class="code hl_function" href="../../dd/d47/namespacemath.html#a50936ee98f4d40f17823befc65a32aec">math::test_eval</a>(<a class="code hl_function" href="../../d2/de9/heavy__light__decomposition_8cpp.html#a458410412185a5f09199deaff7157a8d">test_2</a>, 58.71291345202729, .001);</div>
|
|
<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> std::cout << <span class="stringliteral">"Test 2 Passed!"</span> << std::endl;</div>
|
|
<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> std::cout << <span class="stringliteral">"====================="</span> << std::endl;</div>
|
|
<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> </div>
|
|
<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span> <span class="keywordtype">double</span> <a class="code hl_function" href="../../d2/de9/heavy__light__decomposition_8cpp.html#af31ec5409537703d9c8a47350386b32a">test_3</a> = <a class="code hl_function" href="../../dd/d47/namespacemath.html#aec65db4e5c7317323227f026fe50ef11">math::integral_approx</a>(</div>
|
|
<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span> 10.78, 24.899, [](<span class="keyword">const</span> <span class="keywordtype">double</span> x) { <span class="keywordflow">return</span> x * x * x - x * x + 378; });</div>
|
|
<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span> std::cout << <span class="stringliteral">"Test Case 3"</span> << std::endl;</div>
|
|
<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span> std::cout << <span class="stringliteral">"function: x^3 - x^2 + 378"</span> << std::endl;</div>
|
|
<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span> std::cout << <span class="stringliteral">"range: [10.78, 24.899]"</span> << std::endl;</div>
|
|
<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span> std::cout << <span class="stringliteral">"value: "</span> << <a class="code hl_function" href="../../d2/de9/heavy__light__decomposition_8cpp.html#af31ec5409537703d9c8a47350386b32a">test_3</a> << std::endl;</div>
|
|
<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span> <a class="code hl_function" href="../../dd/d47/namespacemath.html#a50936ee98f4d40f17823befc65a32aec">math::test_eval</a>(<a class="code hl_function" href="../../d2/de9/heavy__light__decomposition_8cpp.html#af31ec5409537703d9c8a47350386b32a">test_3</a>, 93320.65915078377, .001);</div>
|
|
<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span> std::cout << <span class="stringliteral">"Test 3 Passed!"</span> << std::endl;</div>
|
|
<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span> std::cout << <span class="stringliteral">"====================="</span> << std::endl;</div>
|
|
<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span> </div>
|
|
<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span> <span class="keywordtype">double</span> test_4 = <a class="code hl_function" href="../../dd/d47/namespacemath.html#aec65db4e5c7317323227f026fe50ef11">math::integral_approx</a>(</div>
|
|
<div class="line"><a id="l00108" name="l00108"></a><span class="lineno"> 108</span> .101, .505,</div>
|
|
<div class="line"><a id="l00109" name="l00109"></a><span class="lineno"> 109</span> [](<span class="keyword">const</span> <span class="keywordtype">double</span> x) { <span class="keywordflow">return</span> cos(x) * tan(x) * x * x + <a class="code hl_function" href="../../df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html#ac00616a4e40d3cd5cfb4da87d9ff9af0">exp</a>(x); },</div>
|
|
<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"> 110</span> .00001);</div>
|
|
<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span> std::cout << <span class="stringliteral">"Test Case 4"</span> << std::endl;</div>
|
|
<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span> std::cout << <span class="stringliteral">"function: cos(x)*tan(x)*x^2 + e^x"</span> << std::endl;</div>
|
|
<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span> std::cout << <span class="stringliteral">"range: [.101, .505]"</span> << std::endl;</div>
|
|
<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span> std::cout << <span class="stringliteral">"value: "</span> << test_4 << std::endl;</div>
|
|
<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span> <a class="code hl_function" href="../../dd/d47/namespacemath.html#a50936ee98f4d40f17823befc65a32aec">math::test_eval</a>(test_4, 0.566485986311631, .001);</div>
|
|
<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span> std::cout << <span class="stringliteral">"Test 4 Passed!"</span> << std::endl;</div>
|
|
<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span> std::cout << <span class="stringliteral">"====================="</span> << std::endl;</div>
|
|
<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span> </div>
|
|
<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span> <span class="keywordtype">double</span> test_5 = <a class="code hl_function" href="../../dd/d47/namespacemath.html#aec65db4e5c7317323227f026fe50ef11">math::integral_approx</a>(</div>
|
|
<div class="line"><a id="l00120" name="l00120"></a><span class="lineno"> 120</span> -1, 1, [](<span class="keyword">const</span> <span class="keywordtype">double</span> x) { <span class="keywordflow">return</span> <a class="code hl_function" href="../../df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html#ac00616a4e40d3cd5cfb4da87d9ff9af0">exp</a>(-1 / (x * x)); });</div>
|
|
<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</span> std::cout << <span class="stringliteral">"Test Case 5"</span> << std::endl;</div>
|
|
<div class="line"><a id="l00122" name="l00122"></a><span class="lineno"> 122</span> std::cout << <span class="stringliteral">"function: e^(-1/x^2)"</span> << std::endl;</div>
|
|
<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"> 123</span> std::cout << <span class="stringliteral">"range: [-1, 1]"</span> << std::endl;</div>
|
|
<div class="line"><a id="l00124" name="l00124"></a><span class="lineno"> 124</span> std::cout << <span class="stringliteral">"value: "</span> << test_5 << std::endl;</div>
|
|
<div class="line"><a id="l00125" name="l00125"></a><span class="lineno"> 125</span> <a class="code hl_function" href="../../dd/d47/namespacemath.html#a50936ee98f4d40f17823befc65a32aec">math::test_eval</a>(test_5, 0.1781477117815607, .001);</div>
|
|
<div class="line"><a id="l00126" name="l00126"></a><span class="lineno"> 126</span> std::cout << <span class="stringliteral">"Test 5 Passed!"</span> << std::endl;</div>
|
|
<div class="line"><a id="l00127" name="l00127"></a><span class="lineno"> 127</span>}</div>
|
|
<div class="line"><a id="l00128" name="l00128"></a><span class="lineno"> 128</span></div>
|
|
<div class="foldopen" id="foldopen00133" data-start="{" data-end="}">
|
|
<div class="line"><a id="l00133" name="l00133"></a><span class="lineno"><a class="line" href="../../d1/de9/integral__approximation_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4"> 133</a></span><span class="keywordtype">int</span> <a class="code hl_function" href="../../d1/de9/integral__approximation_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a>() {</div>
|
|
<div class="line"><a id="l00134" name="l00134"></a><span class="lineno"> 134</span> <a class="code hl_function" href="../../dd/d1e/generate__parentheses_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// run self-test implementations</span></div>
|
|
<div class="line"><a id="l00135" name="l00135"></a><span class="lineno"> 135</span> <span class="keywordflow">return</span> 0;</div>
|
|
<div class="line"><a id="l00136" name="l00136"></a><span class="lineno"> 136</span>}</div>
|
|
</div>
|
|
<div class="ttc" id="agenerate__parentheses_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="../../dd/d1e/generate__parentheses_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a></div><div class="ttdeci">static void test()</div><div class="ttdoc">Self-test implementations.</div><div class="ttdef"><b>Definition</b> <a href="../../dd/d1e/generate__parentheses_8cpp_source.html#l00082">generate_parentheses.cpp:82</a></div></div>
|
|
<div class="ttc" id="aheavy__light__decomposition_8cpp_html_a34b8683a2b429de5cce57e6d733ec817"><div class="ttname"><a href="../../d2/de9/heavy__light__decomposition_8cpp.html#a34b8683a2b429de5cce57e6d733ec817">test_1</a></div><div class="ttdeci">static void test_1()</div><div class="ttdef"><b>Definition</b> <a href="../../d2/de9/heavy__light__decomposition_8cpp_source.html#l00511">heavy_light_decomposition.cpp:511</a></div></div>
|
|
<div class="ttc" id="aheavy__light__decomposition_8cpp_html_a458410412185a5f09199deaff7157a8d"><div class="ttname"><a href="../../d2/de9/heavy__light__decomposition_8cpp.html#a458410412185a5f09199deaff7157a8d">test_2</a></div><div class="ttdeci">static void test_2()</div><div class="ttdef"><b>Definition</b> <a href="../../d2/de9/heavy__light__decomposition_8cpp_source.html#l00555">heavy_light_decomposition.cpp:555</a></div></div>
|
|
<div class="ttc" id="aheavy__light__decomposition_8cpp_html_af31ec5409537703d9c8a47350386b32a"><div class="ttname"><a href="../../d2/de9/heavy__light__decomposition_8cpp.html#af31ec5409537703d9c8a47350386b32a">test_3</a></div><div class="ttdeci">static void test_3()</div><div class="ttdef"><b>Definition</b> <a href="../../d2/de9/heavy__light__decomposition_8cpp_source.html#l00599">heavy_light_decomposition.cpp:599</a></div></div>
|
|
<div class="ttc" id="aintegral__approximation_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../d1/de9/integral__approximation_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdoc">Main function.</div><div class="ttdef"><b>Definition</b> <a href="#l00133">integral_approximation.cpp:133</a></div></div>
|
|
<div class="ttc" id="alru__cache_8cpp_html_a24d21a345ed06f7fba6919718cf3e058"><div class="ttname"><a href="../../d3/db3/lru__cache_8cpp.html#a24d21a345ed06f7fba6919718cf3e058">lru_tests::log</a></div><div class="ttdeci">void log(T msg)</div><div class="ttdoc">A function to print given message on console.</div><div class="ttdef"><b>Definition</b> <a href="../../d3/db3/lru__cache_8cpp_source.html#l00149">lru_cache.cpp:149</a></div></div>
|
|
<div class="ttc" id="anamespaceciphers_1_1elliptic__curve__key__exchange_html_ac00616a4e40d3cd5cfb4da87d9ff9af0"><div class="ttname"><a href="../../df/d6b/namespaceciphers_1_1elliptic__curve__key__exchange.html#ac00616a4e40d3cd5cfb4da87d9ff9af0">ciphers::elliptic_curve_key_exchange::exp</a></div><div class="ttdeci">uint256_t exp(uint256_t number, uint256_t power, const uint256_t &mod)</div><div class="ttdoc">This function calculates number raised to exponent power under modulo mod using Modular Exponentiatio...</div><div class="ttdef"><b>Definition</b> <a href="../../df/d2c/elliptic__curve__key__exchange_8cpp_source.html#l00078">elliptic_curve_key_exchange.cpp:78</a></div></div>
|
|
<div class="ttc" id="anamespacemath_html"><div class="ttname"><a href="../../dd/d47/namespacemath.html">math</a></div><div class="ttdoc">for assert</div></div>
|
|
<div class="ttc" id="anamespacemath_html_a50936ee98f4d40f17823befc65a32aec"><div class="ttname"><a href="../../dd/d47/namespacemath.html#a50936ee98f4d40f17823befc65a32aec">math::test_eval</a></div><div class="ttdeci">void test_eval(double approx, double expected, double threshold)</div><div class="ttdoc">Wrapper to evaluate if the approximated value is within .XX% threshold of the exact value.</div><div class="ttdef"><b>Definition</b> <a href="#l00062">integral_approximation.cpp:62</a></div></div>
|
|
<div class="ttc" id="anamespacemath_html_aec65db4e5c7317323227f026fe50ef11"><div class="ttname"><a href="../../dd/d47/namespacemath.html#aec65db4e5c7317323227f026fe50ef11">math::integral_approx</a></div><div class="ttdeci">double integral_approx(double lb, double ub, const std::function< double(double)> &func, double delta=.0001)</div><div class="ttdoc">Computes integral approximation.</div><div class="ttdef"><b>Definition</b> <a href="#l00042">integral_approximation.cpp:42</a></div></div>
|
|
</div><!-- fragment --></div><!-- contents -->
|
|
</div><!-- doc-content -->
|
|
</div><!-- container -->
|
|
<!-- start footer part -->
|
|
<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
|
|
<ul>
|
|
<li class="navelem"><a href="../../dir_296d53ceaeaa7e099814a6def439fe8a.html">math</a></li><li class="navelem"><a href="../../d1/de9/integral__approximation_8cpp.html">integral_approximation.cpp</a></li>
|
|
<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> 1.14.0 </li>
|
|
</ul>
|
|
</div>
|
|
</body>
|
|
</html>
|