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<div class="headertitle"><div class="title">exponential_dist.cpp</div></div>
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<a href="../../d9/da2/exponential__dist_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>
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<div class="line"><a id="l00014" name="l00014"></a><span class="lineno"> 14</span> </div>
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<div class="line"><a id="l00015" name="l00015"></a><span class="lineno"> 15</span><span class="preprocessor">#include <cassert></span> <span class="comment">// For assert</span></div>
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<div class="line"><a id="l00016" name="l00016"></a><span class="lineno"> 16</span><span class="preprocessor">#include <cmath></span> <span class="comment">// For std::pow</span></div>
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<div class="line"><a id="l00017" name="l00017"></a><span class="lineno"> 17</span><span class="preprocessor">#include <iostream></span> <span class="comment">// For I/O operation</span></div>
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<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span><span class="preprocessor">#include <stdexcept></span> <span class="comment">// For std::invalid_argument</span></div>
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<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</span><span class="preprocessor">#include <string></span> <span class="comment">// For std::string</span></div>
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<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span></div>
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<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="../../d4/ded/namespaceprobability.html">probability</a> {</div>
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<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span><span class="keyword">namespace </span><a class="code hl_namespace" href="../../dd/d8a/namespacegeometric__dist.html">geometric_dist</a> {</div>
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<div class="foldopen" id="foldopen00037" data-start="{" data-end="}">
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<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"><a class="line" href="../../d9/da2/exponential__dist_8cpp.html#a1c8b6e787f72a209ef96c096eedf7afc"> 37</a></span><span class="keywordtype">double</span> <a class="code hl_function" href="../../d9/da2/exponential__dist_8cpp.html#a1c8b6e787f72a209ef96c096eedf7afc">exponential_expected</a>(<span class="keywordtype">double</span> lambda) {</div>
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<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span> <span class="keywordflow">if</span> (lambda <= 0) {</div>
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<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span> <span class="keywordflow">throw</span> std::invalid_argument(<span class="stringliteral">"lambda must be greater than 0"</span>);</div>
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<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span> }</div>
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<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span> <span class="keywordflow">return</span> 1 / lambda;</div>
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<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span>}</div>
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</div>
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<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span></div>
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<div class="foldopen" id="foldopen00048" data-start="{" data-end="}">
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<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"><a class="line" href="../../d9/da2/exponential__dist_8cpp.html#af435dbeb43a05c8c7785f53bf4ce1df1"> 48</a></span><span class="keywordtype">double</span> <a class="code hl_function" href="../../d9/da2/exponential__dist_8cpp.html#af435dbeb43a05c8c7785f53bf4ce1df1">exponential_var</a>(<span class="keywordtype">double</span> lambda) {</div>
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<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span> <span class="keywordflow">if</span> (lambda <= 0) {</div>
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<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span> <span class="keywordflow">throw</span> std::invalid_argument(<span class="stringliteral">"lambda must be greater than 0"</span>);</div>
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<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span> }</div>
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<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span> <span class="keywordflow">return</span> 1 / pow(lambda, 2);</div>
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<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span>}</div>
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</div>
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<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span></div>
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<div class="foldopen" id="foldopen00059" data-start="{" data-end="}">
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<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"><a class="line" href="../../d9/da2/exponential__dist_8cpp.html#ac7b0091e17479d47438a281fefc2549a"> 59</a></span><span class="keywordtype">double</span> <a class="code hl_function" href="../../d9/da2/exponential__dist_8cpp.html#ac7b0091e17479d47438a281fefc2549a">exponential_std</a>(<span class="keywordtype">double</span> lambda) {</div>
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<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span> <span class="keywordflow">if</span> (lambda <= 0) {</div>
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<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> <span class="keywordflow">throw</span> std::invalid_argument(<span class="stringliteral">"lambda must be greater than 0"</span>);</div>
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<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> }</div>
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<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> <span class="keywordflow">return</span> 1 / lambda;</div>
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<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span>}</div>
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</div>
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<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span>} <span class="comment">// namespace geometric_dist</span></div>
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<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span>} <span class="comment">// namespace probability</span></div>
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<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span></div>
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<div class="foldopen" id="foldopen00072" data-start="{" data-end="}">
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<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"><a class="line" href="../../d9/da2/exponential__dist_8cpp.html#aa8dca7b867074164d5f45b0f3851269d"> 72</a></span><span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code hl_function" href="../../d9/da2/exponential__dist_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>() {</div>
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<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span> <span class="keywordtype">double</span> lambda_1 = 1;</div>
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<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span> <span class="keywordtype">double</span> expected_1 = 1;</div>
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<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span> <span class="keywordtype">double</span> var_1 = 1;</div>
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<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> <span class="keywordtype">double</span> std_1 = 1;</div>
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<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span> </div>
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<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span> <span class="keywordtype">double</span> lambda_2 = 2;</div>
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<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span> <span class="keywordtype">double</span> expected_2 = 0.5;</div>
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<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> <span class="keywordtype">double</span> var_2 = 0.25;</div>
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<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span> <span class="keywordtype">double</span> std_2 = 0.5;</div>
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<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span> </div>
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<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> <span class="keywordtype">double</span> lambda_3 = 3;</div>
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<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> <span class="keywordtype">double</span> expected_3 = 0.333333;</div>
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<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span> <span class="keywordtype">double</span> var_3 = 0.111111;</div>
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<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span> <span class="keywordtype">double</span> std_3 = 0.333333;</div>
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<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span> </div>
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<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span> <span class="keywordtype">double</span> lambda_4 = 0; <span class="comment">// Test 0</span></div>
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<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span> <span class="keywordtype">double</span> lambda_5 = -2.3; <span class="comment">// Test negative value</span></div>
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<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span> </div>
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<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span> <span class="keyword">const</span> <span class="keywordtype">float</span> threshold = 1e-3f;</div>
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<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span> </div>
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<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span> std::cout << <span class="stringliteral">"Test for lambda = 1 \n"</span>;</div>
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<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> assert(</div>
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<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> std::abs(expected_1 - <a class="code hl_function" href="../../d9/da2/exponential__dist_8cpp.html#a1c8b6e787f72a209ef96c096eedf7afc">probability::geometric_dist::exponential_expected</a>(</div>
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<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> lambda_1)) < threshold);</div>
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<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span> assert(std::abs(var_1 - <a class="code hl_function" href="../../d9/da2/exponential__dist_8cpp.html#af435dbeb43a05c8c7785f53bf4ce1df1">probability::geometric_dist::exponential_var</a>(</div>
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<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span> lambda_1)) < threshold);</div>
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<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span> assert(std::abs(std_1 - <a class="code hl_function" href="../../d9/da2/exponential__dist_8cpp.html#ac7b0091e17479d47438a281fefc2549a">probability::geometric_dist::exponential_std</a>(</div>
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<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span> lambda_1)) < threshold);</div>
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<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span> std::cout << <span class="stringliteral">"ALL TEST PASSED\n\n"</span>;</div>
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<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span> </div>
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<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span> std::cout << <span class="stringliteral">"Test for lambda = 2 \n"</span>;</div>
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<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span> assert(</div>
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<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span> std::abs(expected_2 - <a class="code hl_function" href="../../d9/da2/exponential__dist_8cpp.html#a1c8b6e787f72a209ef96c096eedf7afc">probability::geometric_dist::exponential_expected</a>(</div>
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<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span> lambda_2)) < threshold);</div>
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<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span> assert(std::abs(var_2 - <a class="code hl_function" href="../../d9/da2/exponential__dist_8cpp.html#af435dbeb43a05c8c7785f53bf4ce1df1">probability::geometric_dist::exponential_var</a>(</div>
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<div class="line"><a id="l00108" name="l00108"></a><span class="lineno"> 108</span> lambda_2)) < threshold);</div>
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<div class="line"><a id="l00109" name="l00109"></a><span class="lineno"> 109</span> assert(std::abs(std_2 - <a class="code hl_function" href="../../d9/da2/exponential__dist_8cpp.html#ac7b0091e17479d47438a281fefc2549a">probability::geometric_dist::exponential_std</a>(</div>
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<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"> 110</span> lambda_2)) < threshold);</div>
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<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span> std::cout << <span class="stringliteral">"ALL TEST PASSED\n\n"</span>;</div>
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<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span> </div>
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<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span> std::cout << <span class="stringliteral">"Test for lambda = 3 \n"</span>;</div>
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<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span> assert(</div>
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<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span> std::abs(expected_3 - <a class="code hl_function" href="../../d9/da2/exponential__dist_8cpp.html#a1c8b6e787f72a209ef96c096eedf7afc">probability::geometric_dist::exponential_expected</a>(</div>
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<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span> lambda_3)) < threshold);</div>
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<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span> assert(std::abs(var_3 - <a class="code hl_function" href="../../d9/da2/exponential__dist_8cpp.html#af435dbeb43a05c8c7785f53bf4ce1df1">probability::geometric_dist::exponential_var</a>(</div>
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<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span> lambda_3)) < threshold);</div>
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<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span> assert(std::abs(std_3 - <a class="code hl_function" href="../../d9/da2/exponential__dist_8cpp.html#ac7b0091e17479d47438a281fefc2549a">probability::geometric_dist::exponential_std</a>(</div>
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<div class="line"><a id="l00120" name="l00120"></a><span class="lineno"> 120</span> lambda_3)) < threshold);</div>
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<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</span> std::cout << <span class="stringliteral">"ALL TEST PASSED\n\n"</span>;</div>
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<div class="line"><a id="l00122" name="l00122"></a><span class="lineno"> 122</span> </div>
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<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"> 123</span> std::cout << <span class="stringliteral">"Test for lambda = 0 \n"</span>;</div>
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<div class="line"><a id="l00124" name="l00124"></a><span class="lineno"> 124</span> <span class="keywordflow">try</span> {</div>
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<div class="line"><a id="l00125" name="l00125"></a><span class="lineno"> 125</span> <a class="code hl_function" href="../../d9/da2/exponential__dist_8cpp.html#a1c8b6e787f72a209ef96c096eedf7afc">probability::geometric_dist::exponential_expected</a>(lambda_4);</div>
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<div class="line"><a id="l00126" name="l00126"></a><span class="lineno"> 126</span> <a class="code hl_function" href="../../d9/da2/exponential__dist_8cpp.html#af435dbeb43a05c8c7785f53bf4ce1df1">probability::geometric_dist::exponential_var</a>(lambda_4);</div>
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<div class="line"><a id="l00127" name="l00127"></a><span class="lineno"> 127</span> <a class="code hl_function" href="../../d9/da2/exponential__dist_8cpp.html#ac7b0091e17479d47438a281fefc2549a">probability::geometric_dist::exponential_std</a>(lambda_4);</div>
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<div class="line"><a id="l00128" name="l00128"></a><span class="lineno"> 128</span> } <span class="keywordflow">catch</span> (std::invalid_argument& err) {</div>
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<div class="line"><a id="l00129" name="l00129"></a><span class="lineno"> 129</span> assert(std::string(err.what()) == <span class="stringliteral">"lambda must be greater than 0"</span>);</div>
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<div class="line"><a id="l00130" name="l00130"></a><span class="lineno"> 130</span> }</div>
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<div class="line"><a id="l00131" name="l00131"></a><span class="lineno"> 131</span> std::cout << <span class="stringliteral">"ALL TEST PASSED\n\n"</span>;</div>
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<div class="line"><a id="l00132" name="l00132"></a><span class="lineno"> 132</span> </div>
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<div class="line"><a id="l00133" name="l00133"></a><span class="lineno"> 133</span> std::cout << <span class="stringliteral">"Test for lambda = -2.3 \n"</span>;</div>
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<div class="line"><a id="l00134" name="l00134"></a><span class="lineno"> 134</span> <span class="keywordflow">try</span> {</div>
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<div class="line"><a id="l00135" name="l00135"></a><span class="lineno"> 135</span> <a class="code hl_function" href="../../d9/da2/exponential__dist_8cpp.html#a1c8b6e787f72a209ef96c096eedf7afc">probability::geometric_dist::exponential_expected</a>(lambda_5);</div>
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<div class="line"><a id="l00136" name="l00136"></a><span class="lineno"> 136</span> <a class="code hl_function" href="../../d9/da2/exponential__dist_8cpp.html#af435dbeb43a05c8c7785f53bf4ce1df1">probability::geometric_dist::exponential_var</a>(lambda_5);</div>
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<div class="line"><a id="l00137" name="l00137"></a><span class="lineno"> 137</span> <a class="code hl_function" href="../../d9/da2/exponential__dist_8cpp.html#ac7b0091e17479d47438a281fefc2549a">probability::geometric_dist::exponential_std</a>(lambda_5);</div>
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<div class="line"><a id="l00138" name="l00138"></a><span class="lineno"> 138</span> } <span class="keywordflow">catch</span> (std::invalid_argument& err) {</div>
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<div class="line"><a id="l00139" name="l00139"></a><span class="lineno"> 139</span> assert(std::string(err.what()) == <span class="stringliteral">"lambda must be greater than 0"</span>);</div>
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<div class="line"><a id="l00140" name="l00140"></a><span class="lineno"> 140</span> }</div>
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<div class="line"><a id="l00141" name="l00141"></a><span class="lineno"> 141</span> std::cout << <span class="stringliteral">"ALL TEST PASSED\n\n"</span>;</div>
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<div class="line"><a id="l00142" name="l00142"></a><span class="lineno"> 142</span>}</div>
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</div>
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<div class="line"><a id="l00143" name="l00143"></a><span class="lineno"> 143</span></div>
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<div class="foldopen" id="foldopen00148" data-start="{" data-end="}">
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<div class="line"><a id="l00148" name="l00148"></a><span class="lineno"><a class="line" href="../../d9/da2/exponential__dist_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4"> 148</a></span><span class="keywordtype">int</span> <a class="code hl_function" href="../../d9/da2/exponential__dist_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a>() {</div>
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<div class="line"><a id="l00149" name="l00149"></a><span class="lineno"> 149</span> <a class="code hl_function" href="../../d9/da2/exponential__dist_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// Self test implementation</span></div>
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<div class="line"><a id="l00150" name="l00150"></a><span class="lineno"> 150</span> <span class="keywordflow">return</span> 0;</div>
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<div class="line"><a id="l00151" name="l00151"></a><span class="lineno"> 151</span>}</div>
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<div class="ttc" id="aexponential__dist_8cpp_html_a1c8b6e787f72a209ef96c096eedf7afc"><div class="ttname"><a href="../../d9/da2/exponential__dist_8cpp.html#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="#l00037">exponential_dist.cpp:37</a></div></div>
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<div class="ttc" id="aexponential__dist_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="../../d9/da2/exponential__dist_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="#l00072">exponential_dist.cpp:72</a></div></div>
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<div class="ttc" id="aexponential__dist_8cpp_html_ac7b0091e17479d47438a281fefc2549a"><div class="ttname"><a href="../../d9/da2/exponential__dist_8cpp.html#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="#l00059">exponential_dist.cpp:59</a></div></div>
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<div class="ttc" id="aexponential__dist_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../d9/da2/exponential__dist_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="#l00148">exponential_dist.cpp:148</a></div></div>
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<div class="ttc" id="aexponential__dist_8cpp_html_af435dbeb43a05c8c7785f53bf4ce1df1"><div class="ttname"><a href="../../d9/da2/exponential__dist_8cpp.html#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="#l00048">exponential_dist.cpp:48</a></div></div>
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<div class="ttc" id="anamespacegeometric__dist_html"><div class="ttname"><a href="../../dd/d8a/namespacegeometric__dist.html">geometric_dist</a></div><div class="ttdoc">Functions for the Geometric Distribution algorithm implementation.</div></div>
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<div class="ttc" id="anamespaceprobability_html"><div class="ttname"><a href="../../d4/ded/namespaceprobability.html">probability</a></div><div class="ttdoc">Probability algorithms.</div></div>
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