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2024-11-04 12:43:05 +00:00
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<title>TheAlgorithms/C++: probability/exponential_dist.cpp File Reference</title>
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<div id="projectname">Algorithms_in_C++<span id="projectnumber">&#160;1.0.0</span>
<div id="projectname">TheAlgorithms/C++<span id="projectnumber">&#160;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>
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@@ -123,7 +140,9 @@ Include dependency graph for exponential_dist.cpp:</div>
<div class="dyncontent">
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<p><a href="../../d9/da2/exponential__dist_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 &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d4/ded/namespaceprobability.html">probability</a></td></tr>
@@ -158,6 +177,8 @@ Functions</h2></td></tr>
\[P(x, \lambda) = \lambda e^{-\lambda x}\]
</p>
<p>Summary of variables used: \(\lambda\) : rate parameter </p>
<p class="definition">Definition in file <a class="el" href="../../d9/da2/exponential__dist_8cpp_source.html">exponential_dist.cpp</a>.</p>
</div><h2 class="groupheader">Function Documentation</h2>
<a id="a1c8b6e787f72a209ef96c096eedf7afc" name="a1c8b6e787f72a209ef96c096eedf7afc"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a1c8b6e787f72a209ef96c096eedf7afc">&#9670;&#160;</a></span>exponential_expected()</h2>
@@ -179,19 +200,15 @@ Functions</h2></td></tr>
\[\mu = \frac{1}{\lambda}\]
</p>
</dd></dl>
<p class="definition">Definition at line <a class="el" href="../../d9/da2/exponential__dist_8cpp_source.html#l00037">37</a> of file <a class="el" href="../../d9/da2/exponential__dist_8cpp_source.html">exponential_dist.cpp</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 37</span> {</div>
<div class="line"><span class="lineno"> 38</span> <span class="keywordflow">if</span> (lambda &lt;= 0) {</div>
<div class="line"><span class="lineno"> 39</span> <span class="keywordflow">throw</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/error/invalid_argument.html">std::invalid_argument</a>(<span class="stringliteral">&quot;lambda must be greater than 0&quot;</span>);</div>
<div class="line"><span class="lineno"> 39</span> <span class="keywordflow">throw</span> std::invalid_argument(<span class="stringliteral">&quot;lambda must be greater than 0&quot;</span>);</div>
<div class="line"><span class="lineno"> 40</span> }</div>
<div class="line"><span class="lineno"> 41</span> <span class="keywordflow">return</span> 1 / lambda;</div>
<div class="line"><span class="lineno"> 42</span>}</div>
<div class="ttc" id="ainvalid_argument_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/error/invalid_argument.html">std::invalid_argument</a></div></div>
</div><!-- fragment --><div class="dynheader">
Here is the call graph for this function:</div>
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@@ -214,18 +231,15 @@ Here is the call graph for this function:</div>
\[\sigma = \frac{1}{\lambda}\]
</p>
</dd></dl>
<p class="definition">Definition at line <a class="el" href="../../d9/da2/exponential__dist_8cpp_source.html#l00059">59</a> of file <a class="el" href="../../d9/da2/exponential__dist_8cpp_source.html">exponential_dist.cpp</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 59</span> {</div>
<div class="line"><span class="lineno"> 60</span> <span class="keywordflow">if</span> (lambda &lt;= 0) {</div>
<div class="line"><span class="lineno"> 61</span> <span class="keywordflow">throw</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/error/invalid_argument.html">std::invalid_argument</a>(<span class="stringliteral">&quot;lambda must be greater than 0&quot;</span>);</div>
<div class="line"><span class="lineno"> 61</span> <span class="keywordflow">throw</span> std::invalid_argument(<span class="stringliteral">&quot;lambda must be greater than 0&quot;</span>);</div>
<div class="line"><span class="lineno"> 62</span> }</div>
<div class="line"><span class="lineno"> 63</span> <span class="keywordflow">return</span> 1 / lambda;</div>
<div class="line"><span class="lineno"> 64</span>}</div>
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@@ -248,19 +262,15 @@ Here is the call graph for this function:</div>
\[\sigma^2 = \frac{1}{\lambda^2}\]
</p>
</dd></dl>
<p class="definition">Definition at line <a class="el" href="../../d9/da2/exponential__dist_8cpp_source.html#l00048">48</a> of file <a class="el" href="../../d9/da2/exponential__dist_8cpp_source.html">exponential_dist.cpp</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 48</span> {</div>
<div class="line"><span class="lineno"> 49</span> <span class="keywordflow">if</span> (lambda &lt;= 0) {</div>
<div class="line"><span class="lineno"> 50</span> <span class="keywordflow">throw</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/error/invalid_argument.html">std::invalid_argument</a>(<span class="stringliteral">&quot;lambda must be greater than 0&quot;</span>);</div>
<div class="line"><span class="lineno"> 50</span> <span class="keywordflow">throw</span> std::invalid_argument(<span class="stringliteral">&quot;lambda must be greater than 0&quot;</span>);</div>
<div class="line"><span class="lineno"> 51</span> }</div>
<div class="line"><span class="lineno"> 52</span> <span class="keywordflow">return</span> 1 / <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/pow.html">pow</a>(lambda, 2);</div>
<div class="line"><span class="lineno"> 52</span> <span class="keywordflow">return</span> 1 / pow(lambda, 2);</div>
<div class="line"><span class="lineno"> 53</span>}</div>
<div class="ttc" id="apow_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/math/pow.html">std::pow</a></div><div class="ttdeci">T pow(T... args)</div></div>
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<div class="center"><iframe scrolling="no" frameborder="0" src="../../d9/da2/exponential__dist_8cpp_af435dbeb43a05c8c7785f53bf4ce1df1_cgraph.svg" width="159" height="76"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe></div>
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@@ -280,17 +290,14 @@ Here is the call graph for this function:</div>
<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="../../d9/da2/exponential__dist_8cpp_source.html#l00148">148</a> of file <a class="el" href="../../d9/da2/exponential__dist_8cpp_source.html">exponential_dist.cpp</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 148</span> {</div>
<div class="line"><span class="lineno"> 149</span> <a class="code hl_function" href="#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// Self test implementation</span></div>
<div class="line"><span class="lineno"> 150</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 151</span>}</div>
<div class="ttc" id="aexponential__dist_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="#aa8dca7b867074164d5f45b0f3851269d">test</a></div><div class="ttdeci">static void test()</div><div class="ttdoc">Self-test implementations.</div><div class="ttdef"><b>Definition</b> exponential_dist.cpp:72</div></div>
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<div class="ttc" id="aexponential__dist_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="#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="../../d9/da2/exponential__dist_8cpp_source.html#l00072">exponential_dist.cpp:72</a></div></div>
</div><!-- fragment -->
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</div>
<a id="aa8dca7b867074164d5f45b0f3851269d" name="aa8dca7b867074164d5f45b0f3851269d"></a>
@@ -318,6 +325,8 @@ Here is the call graph for this function:</div>
<p>Self-test implementations. </p>
<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
<p class="definition">Definition at line <a class="el" href="../../d9/da2/exponential__dist_8cpp_source.html#l00072">72</a> of file <a class="el" href="../../d9/da2/exponential__dist_8cpp_source.html">exponential_dist.cpp</a>.</p>
<div class="fragment"><div class="line"><span class="lineno"> 72</span> {</div>
<div class="line"><span class="lineno"> 73</span> <span class="keywordtype">double</span> lambda_1 = 1;</div>
<div class="line"><span class="lineno"> 74</span> <span class="keywordtype">double</span> expected_1 = 1;</div>
@@ -339,7 +348,7 @@ Here is the call graph for this function:</div>
<div class="line"><span class="lineno"> 90</span> </div>
<div class="line"><span class="lineno"> 91</span> <span class="keyword">const</span> <span class="keywordtype">float</span> threshold = 1e-3f;</div>
<div class="line"><span class="lineno"> 92</span> </div>
<div class="line"><span class="lineno"> 93</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Test for lambda = 1 \n&quot;</span>;</div>
<div class="line"><span class="lineno"> 93</span> std::cout &lt;&lt; <span class="stringliteral">&quot;Test for lambda = 1 \n&quot;</span>;</div>
<div class="line"><span class="lineno"> 94</span> assert(</div>
<div class="line"><span class="lineno"> 95</span> std::abs(expected_1 - probability::geometric_dist::exponential_expected(</div>
<div class="line"><span class="lineno"> 96</span> lambda_1)) &lt; threshold);</div>
@@ -347,9 +356,9 @@ Here is the call graph for this function:</div>
<div class="line"><span class="lineno"> 98</span> lambda_1)) &lt; threshold);</div>
<div class="line"><span class="lineno"> 99</span> assert(std::abs(std_1 - probability::geometric_dist::exponential_std(</div>
<div class="line"><span class="lineno"> 100</span> lambda_1)) &lt; threshold);</div>
<div class="line"><span class="lineno"> 101</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;ALL TEST PASSED\n\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 101</span> std::cout &lt;&lt; <span class="stringliteral">&quot;ALL TEST PASSED\n\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 102</span> </div>
<div class="line"><span class="lineno"> 103</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Test for lambda = 2 \n&quot;</span>;</div>
<div class="line"><span class="lineno"> 103</span> std::cout &lt;&lt; <span class="stringliteral">&quot;Test for lambda = 2 \n&quot;</span>;</div>
<div class="line"><span class="lineno"> 104</span> assert(</div>
<div class="line"><span class="lineno"> 105</span> std::abs(expected_2 - probability::geometric_dist::exponential_expected(</div>
<div class="line"><span class="lineno"> 106</span> lambda_2)) &lt; threshold);</div>
@@ -357,9 +366,9 @@ Here is the call graph for this function:</div>
<div class="line"><span class="lineno"> 108</span> lambda_2)) &lt; threshold);</div>
<div class="line"><span class="lineno"> 109</span> assert(std::abs(std_2 - probability::geometric_dist::exponential_std(</div>
<div class="line"><span class="lineno"> 110</span> lambda_2)) &lt; threshold);</div>
<div class="line"><span class="lineno"> 111</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;ALL TEST PASSED\n\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 111</span> std::cout &lt;&lt; <span class="stringliteral">&quot;ALL TEST PASSED\n\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 112</span> </div>
<div class="line"><span class="lineno"> 113</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Test for lambda = 3 \n&quot;</span>;</div>
<div class="line"><span class="lineno"> 113</span> std::cout &lt;&lt; <span class="stringliteral">&quot;Test for lambda = 3 \n&quot;</span>;</div>
<div class="line"><span class="lineno"> 114</span> assert(</div>
<div class="line"><span class="lineno"> 115</span> std::abs(expected_3 - probability::geometric_dist::exponential_expected(</div>
<div class="line"><span class="lineno"> 116</span> lambda_3)) &lt; threshold);</div>
@@ -367,40 +376,32 @@ Here is the call graph for this function:</div>
<div class="line"><span class="lineno"> 118</span> lambda_3)) &lt; threshold);</div>
<div class="line"><span class="lineno"> 119</span> assert(std::abs(std_3 - probability::geometric_dist::exponential_std(</div>
<div class="line"><span class="lineno"> 120</span> lambda_3)) &lt; threshold);</div>
<div class="line"><span class="lineno"> 121</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;ALL TEST PASSED\n\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 121</span> std::cout &lt;&lt; <span class="stringliteral">&quot;ALL TEST PASSED\n\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 122</span> </div>
<div class="line"><span class="lineno"> 123</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Test for lambda = 0 \n&quot;</span>;</div>
<div class="line"><span class="lineno"> 123</span> std::cout &lt;&lt; <span class="stringliteral">&quot;Test for lambda = 0 \n&quot;</span>;</div>
<div class="line"><span class="lineno"> 124</span> <span class="keywordflow">try</span> {</div>
<div class="line"><span class="lineno"> 125</span> <a class="code hl_function" href="#a1c8b6e787f72a209ef96c096eedf7afc">probability::geometric_dist::exponential_expected</a>(lambda_4);</div>
<div class="line"><span class="lineno"> 126</span> <a class="code hl_function" href="#af435dbeb43a05c8c7785f53bf4ce1df1">probability::geometric_dist::exponential_var</a>(lambda_4);</div>
<div class="line"><span class="lineno"> 127</span> <a class="code hl_function" href="#ac7b0091e17479d47438a281fefc2549a">probability::geometric_dist::exponential_std</a>(lambda_4);</div>
<div class="line"><span class="lineno"> 128</span> } <span class="keywordflow">catch</span> (<a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/error/invalid_argument.html">std::invalid_argument</a>&amp; err) {</div>
<div class="line"><span class="lineno"> 129</span> assert(<a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a>(err.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/error/exception/what.html">what</a>()) == <span class="stringliteral">&quot;lambda must be greater than 0&quot;</span>);</div>
<div class="line"><span class="lineno"> 128</span> } <span class="keywordflow">catch</span> (std::invalid_argument&amp; err) {</div>
<div class="line"><span class="lineno"> 129</span> assert(std::string(err.what()) == <span class="stringliteral">&quot;lambda must be greater than 0&quot;</span>);</div>
<div class="line"><span class="lineno"> 130</span> }</div>
<div class="line"><span class="lineno"> 131</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;ALL TEST PASSED\n\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 131</span> std::cout &lt;&lt; <span class="stringliteral">&quot;ALL TEST PASSED\n\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 132</span> </div>
<div class="line"><span class="lineno"> 133</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;Test for lambda = -2.3 \n&quot;</span>;</div>
<div class="line"><span class="lineno"> 133</span> std::cout &lt;&lt; <span class="stringliteral">&quot;Test for lambda = -2.3 \n&quot;</span>;</div>
<div class="line"><span class="lineno"> 134</span> <span class="keywordflow">try</span> {</div>
<div class="line"><span class="lineno"> 135</span> <a class="code hl_function" href="#a1c8b6e787f72a209ef96c096eedf7afc">probability::geometric_dist::exponential_expected</a>(lambda_5);</div>
<div class="line"><span class="lineno"> 136</span> <a class="code hl_function" href="#af435dbeb43a05c8c7785f53bf4ce1df1">probability::geometric_dist::exponential_var</a>(lambda_5);</div>
<div class="line"><span class="lineno"> 137</span> <a class="code hl_function" href="#ac7b0091e17479d47438a281fefc2549a">probability::geometric_dist::exponential_std</a>(lambda_5);</div>
<div class="line"><span class="lineno"> 138</span> } <span class="keywordflow">catch</span> (<a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/error/invalid_argument.html">std::invalid_argument</a>&amp; err) {</div>
<div class="line"><span class="lineno"> 139</span> assert(<a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a>(err.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/error/exception/what.html">what</a>()) == <span class="stringliteral">&quot;lambda must be greater than 0&quot;</span>);</div>
<div class="line"><span class="lineno"> 138</span> } <span class="keywordflow">catch</span> (std::invalid_argument&amp; err) {</div>
<div class="line"><span class="lineno"> 139</span> assert(std::string(err.what()) == <span class="stringliteral">&quot;lambda must be greater than 0&quot;</span>);</div>
<div class="line"><span class="lineno"> 140</span> }</div>
<div class="line"><span class="lineno"> 141</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;ALL TEST PASSED\n\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 141</span> std::cout &lt;&lt; <span class="stringliteral">&quot;ALL TEST PASSED\n\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 142</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>
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<div class="ttc" id="aexponential__dist_8cpp_html_a1c8b6e787f72a209ef96c096eedf7afc"><div class="ttname"><a href="#a1c8b6e787f72a209ef96c096eedf7afc">probability::geometric_dist::exponential_expected</a></div><div class="ttdeci">double exponential_expected(double lambda)</div><div class="ttdoc">the expected value of the exponential distribution</div><div class="ttdef"><b>Definition</b> exponential_dist.cpp:37</div></div>
<div class="ttc" id="aexponential__dist_8cpp_html_ac7b0091e17479d47438a281fefc2549a"><div class="ttname"><a href="#ac7b0091e17479d47438a281fefc2549a">probability::geometric_dist::exponential_std</a></div><div class="ttdeci">double exponential_std(double lambda)</div><div class="ttdoc">the standard deviation of the exponential distribution</div><div class="ttdef"><b>Definition</b> exponential_dist.cpp:59</div></div>
<div class="ttc" id="aexponential__dist_8cpp_html_af435dbeb43a05c8c7785f53bf4ce1df1"><div class="ttname"><a href="#af435dbeb43a05c8c7785f53bf4ce1df1">probability::geometric_dist::exponential_var</a></div><div class="ttdeci">double exponential_var(double lambda)</div><div class="ttdoc">the variance of the exponential distribution</div><div class="ttdef"><b>Definition</b> exponential_dist.cpp:48</div></div>
<div class="ttc" id="awhat_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/error/exception/what.html">std::invalid_argument::what</a></div><div class="ttdeci">T what(T... args)</div></div>
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<div class="ttc" id="aexponential__dist_8cpp_html_a1c8b6e787f72a209ef96c096eedf7afc"><div class="ttname"><a href="#a1c8b6e787f72a209ef96c096eedf7afc">probability::geometric_dist::exponential_expected</a></div><div class="ttdeci">double exponential_expected(double lambda)</div><div class="ttdoc">the expected value of the exponential distribution</div><div class="ttdef"><b>Definition</b> <a href="../../d9/da2/exponential__dist_8cpp_source.html#l00037">exponential_dist.cpp:37</a></div></div>
<div class="ttc" id="aexponential__dist_8cpp_html_ac7b0091e17479d47438a281fefc2549a"><div class="ttname"><a href="#ac7b0091e17479d47438a281fefc2549a">probability::geometric_dist::exponential_std</a></div><div class="ttdeci">double exponential_std(double lambda)</div><div class="ttdoc">the standard deviation of the exponential distribution</div><div class="ttdef"><b>Definition</b> <a href="../../d9/da2/exponential__dist_8cpp_source.html#l00059">exponential_dist.cpp:59</a></div></div>
<div class="ttc" id="aexponential__dist_8cpp_html_af435dbeb43a05c8c7785f53bf4ce1df1"><div class="ttname"><a href="#af435dbeb43a05c8c7785f53bf4ce1df1">probability::geometric_dist::exponential_var</a></div><div class="ttdeci">double exponential_var(double lambda)</div><div class="ttdoc">the variance of the exponential distribution</div><div class="ttdef"><b>Definition</b> <a href="../../d9/da2/exponential__dist_8cpp_source.html#l00048">exponential_dist.cpp:48</a></div></div>
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