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<div class="section" id="random-class">
<h1>Random Class<a class="headerlink" href="#random-class" title="Permalink to this headline">¶</a></h1>
<p>This class implements functionalities associated with random number generation
and pdf sampling. This class can sample and fill ranges with data corresponding
to <code class="docutils literal"><span class="pre">Gaussian</span></code>, <code class="docutils literal"><span class="pre">Exponential</span></code>, <code class="docutils literal"><span class="pre">Uniform</span></code> and <code class="docutils literal"><span class="pre">Breit-Wigner</span></code> distributions.</p>
<p>This class is a wrapper of <code class="docutils literal"><span class="pre">hydra</span> <span class="pre">C++</span> <span class="pre">Random</span> <span class="pre">class</span></code>. The Random class have
two constructors to instantiate the Random class:</p>
<ul class="simple">
<li>Constructor with empty seed. The default seed value is <code class="docutils literal"><span class="pre">7895123</span></code>.</li>
<li>Constructor expecting the seed.</li>
</ul>
<div class="highlight-python"><div class="highlight"><pre><span class="kn">import</span> <span class="nn">HydraPython</span> <span class="kn">as</span> <span class="nn">hp</span>
<span class="n">r</span> <span class="o">=</span> <span class="n">hp</span><span class="o">.</span><span class="n">Random</span><span class="p">()</span> <span class="c1"># default seed</span>
<span class="n">r2</span> <span class="o">=</span> <span class="n">hp</span><span class="o">.</span><span class="n">Random</span><span class="p">(</span><span class="mi">8385977</span><span class="p">)</span> <span class="c1"># Seed value</span>
<span class="c1"># This will construct the 2 Random class's object one with default seed and</span>
<span class="c1"># one with the seed value 8385977</span>
</pre></div>
</div>
<p>Apart from setting the seed value at the time of creation the seed can be
set or get with setter and getter methods named <code class="docutils literal"><span class="pre">SetSeed</span></code> and <code class="docutils literal"><span class="pre">GetSeed</span></code>.</p>
<div class="highlight-python"><div class="highlight"><pre><span class="n">r</span> <span class="o">=</span> <span class="n">hp</span><span class="o">.</span><span class="n">Random</span><span class="p">()</span>
<span class="k">print</span> <span class="p">(</span><span class="n">r</span><span class="o">.</span><span class="n">GetSeed</span><span class="p">())</span> <span class="c1"># Give the seed value of object r. 7895123</span>
<span class="n">r</span><span class="o">.</span><span class="n">SetSeed</span><span class="p">(</span><span class="mi">988763</span><span class="p">)</span> <span class="c1"># New seed is 988763</span>
<span class="k">print</span> <span class="p">(</span><span class="n">r</span><span class="o">.</span><span class="n">GetSeed</span><span class="p">())</span> <span class="c1"># 988763</span>
</pre></div>
</div>
<p>The Random class provides a method named <code class="docutils literal"><span class="pre">Uniform</span></code> to generate the numbers
between range (min, max) (both min and max exclusive) and
fill them into the container according to the <a class="reference external" href="https://en.wikipedia.org/wiki/Uniform_distribution_(continuous)">Continuous Uniform
distribution</a>.
The container can be any of the <code class="docutils literal"><span class="pre">host_vector_float</span></code> or <code class="docutils literal"><span class="pre">device_vector_float</span></code>.
In below examples, I have used device_vector_float extensively but they both
can be used interchangeably in place of each other.</p>
<div class="highlight-python"><div class="highlight"><pre><span class="kn">import</span> <span class="nn">HydraPython</span> <span class="kn">as</span> <span class="nn">hp</span>
<span class="n">container</span> <span class="o">=</span> <span class="n">hp</span><span class="o">.</span><span class="n">device_vector_float</span><span class="p">(</span><span class="mi">1000000</span><span class="p">)</span> <span class="c1"># Continer to hold 1000000 objects</span>
<span class="n">r</span> <span class="o">=</span> <span class="n">hp</span><span class="o">.</span><span class="n">Random</span><span class="p">()</span> <span class="c1"># Random number generator object</span>
<span class="n">r</span><span class="o">.</span><span class="n">Uniform</span><span class="p">(</span><span class="mf">1.1</span><span class="p">,</span> <span class="mf">1.5</span><span class="p">,</span> <span class="n">container</span><span class="p">)</span> <span class="c1"># Minimum number 1.1, maximum 1.5 and container</span>
<span class="c1"># Above will generate 1000000 numbers between (1.1, 1.5)</span>
<span class="k">print</span> <span class="p">(</span><span class="n">container</span><span class="p">[:</span><span class="mi">10</span><span class="p">])</span>
</pre></div>
</div>
<p>The Gauss random number generation method can also be used with the Random class.
The <code class="docutils literal"><span class="pre">Gauss</span></code> method generate the numbers with the given <code class="docutils literal"><span class="pre">mean</span></code> and <code class="docutils literal"><span class="pre">sigma</span></code>
values.</p>
<div class="highlight-python"><div class="highlight"><pre><span class="kn">import</span> <span class="nn">HydraPython</span> <span class="kn">as</span> <span class="nn">hp</span>
<span class="n">container</span> <span class="o">=</span> <span class="n">hp</span><span class="o">.</span><span class="n">device_vector_float</span><span class="p">(</span><span class="mi">1000000</span><span class="p">)</span> <span class="c1"># Continer to hold 1000000 objects</span>
<span class="n">r</span> <span class="o">=</span> <span class="n">hp</span><span class="o">.</span><span class="n">Random</span><span class="p">()</span> <span class="c1"># Random number generator object</span>
<span class="n">r</span><span class="o">.</span><span class="n">Gauss</span><span class="p">(</span><span class="o">-</span><span class="mf">2.0</span><span class="p">,</span> <span class="mf">1.0</span><span class="p">,</span> <span class="n">container</span><span class="p">)</span>
<span class="c1"># Above will generate 1000000 with mean -2.0 and sigma as 1.0</span>
</pre></div>
</div>
<p>The Exponential random number generation method or <code class="docutils literal"><span class="pre">Exp</span></code> method in Random class
generates the numbers with the given <code class="docutils literal"><span class="pre">tau</span></code> value of the Exponential distribution.</p>
<div class="highlight-python"><div class="highlight"><pre><span class="kn">import</span> <span class="nn">HydraPython</span> <span class="kn">as</span> <span class="nn">hp</span>
<span class="n">container</span> <span class="o">=</span> <span class="n">hp</span><span class="o">.</span><span class="n">host_vector_float</span><span class="p">(</span><span class="mi">100</span><span class="p">)</span> <span class="c1"># Continer to hold 100 objects.</span>
<span class="n">r</span> <span class="o">=</span> <span class="n">hp</span><span class="o">.</span><span class="n">Random</span><span class="p">()</span> <span class="c1"># Random number generator object</span>
<span class="n">r</span><span class="o">.</span><span class="n">Exp</span><span class="p">(</span><span class="mf">1.0</span><span class="p">,</span> <span class="n">container</span><span class="p">)</span> <span class="c1"># tau is 1.0</span>
<span class="k">print</span> <span class="p">(</span><span class="n">container</span><span class="p">)</span>
</pre></div>
</div>
<p>The Random class also provides a <code class="docutils literal"><span class="pre">BreitWigner</span></code> method to generate random number
according to a BreitWigner with <code class="docutils literal"><span class="pre">mean</span></code> and <code class="docutils literal"><span class="pre">width</span></code>.</p>
<div class="highlight-python"><div class="highlight"><pre><span class="kn">import</span> <span class="nn">HydraPython</span> <span class="kn">as</span> <span class="nn">hp</span>
<span class="n">container</span> <span class="o">=</span> <span class="n">hp</span><span class="o">.</span><span class="n">device_vector_float</span><span class="p">(</span><span class="mi">10000</span><span class="p">)</span> <span class="c1"># Continer to hold 10000 objects.</span>
<span class="n">r</span> <span class="o">=</span> <span class="n">hp</span><span class="o">.</span><span class="n">Random</span><span class="p">()</span> <span class="c1"># Random number generator object</span>
<span class="n">r</span><span class="o">.</span><span class="n">BreitWigner</span><span class="p">(</span><span class="mf">2.0</span><span class="p">,</span> <span class="mf">0.2</span><span class="p">,</span> <span class="n">container</span><span class="p">)</span> <span class="c1"># mean=2.0, width=0.2</span>
<span class="k">print</span> <span class="p">(</span><span class="n">container</span><span class="p">)</span>
</pre></div>
</div>
<p>Apart from all these distributions, you can also define your own distribution
and pass it as a function to the method. The <code class="docutils literal"><span class="pre">Sample</span></code> method allows you to pass
a function that will be sampled for the given sampling range (lower, upper) and
store the result in the container.</p>
<div class="highlight-python"><div class="highlight"><pre><span class="kn">import</span> <span class="nn">HydraPython</span> <span class="kn">as</span> <span class="nn">hp</span>
<span class="c1"># The functon which will be sampled.</span>
<span class="kn">import</span> <span class="nn">math</span>
<span class="k">def</span> <span class="nf">gauss1</span><span class="p">(</span><span class="o">*</span><span class="n">args</span><span class="p">):</span>
<span class="n">g</span> <span class="o">=</span> <span class="mf">1.0</span>
<span class="n">mean</span> <span class="o">=</span> <span class="o">-</span><span class="mf">2.0</span>
<span class="n">sigma</span> <span class="o">=</span> <span class="mf">1.0</span>
<span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="nb">range</span><span class="p">(</span><span class="mi">3</span><span class="p">):</span>
<span class="n">m2</span> <span class="o">=</span> <span class="p">(</span><span class="n">args</span><span class="p">[</span><span class="n">i</span><span class="p">]</span> <span class="o">-</span> <span class="n">mean</span><span class="p">)</span> <span class="o">*</span> <span class="p">(</span><span class="n">args</span><span class="p">[</span><span class="n">i</span><span class="p">]</span> <span class="o">-</span> <span class="n">mean</span><span class="p">)</span>
<span class="n">s2</span> <span class="o">=</span> <span class="n">sigma</span> <span class="o">*</span> <span class="n">sigma</span>
<span class="n">g</span> <span class="o">*=</span> <span class="n">math</span><span class="o">.</span><span class="n">e</span> <span class="o">**</span> <span class="p">((</span><span class="o">-</span><span class="n">m2</span><span class="o">/</span><span class="p">(</span><span class="mf">2.0</span> <span class="o">*</span> <span class="n">s2</span> <span class="p">))</span><span class="o">/</span><span class="p">(</span> <span class="n">math</span><span class="o">.</span><span class="n">sqrt</span><span class="p">(</span><span class="mf">2.0</span><span class="o">*</span><span class="n">s2</span><span class="o">*</span><span class="n">math</span><span class="o">.</span><span class="n">pi</span><span class="p">)))</span>
<span class="k">return</span> <span class="n">g</span>
<span class="n">container</span> <span class="o">=</span> <span class="n">hp</span><span class="o">.</span><span class="n">host_vector_float3</span><span class="p">(</span><span class="mi">10000</span><span class="p">)</span> <span class="c1"># Container with 10000 objects each having 3 floats</span>
<span class="n">r</span> <span class="o">=</span> <span class="n">hp</span><span class="o">.</span><span class="n">Random</span><span class="p">()</span> <span class="c1"># Random object</span>
<span class="n">r</span><span class="o">.</span><span class="n">Sample</span><span class="p">(</span><span class="n">d</span><span class="p">,</span> <span class="p">[</span><span class="mi">6</span><span class="p">,</span> <span class="mi">6</span><span class="p">,</span> <span class="mi">6</span><span class="p">],</span> <span class="p">[</span><span class="o">-</span><span class="mi">6</span><span class="p">,</span> <span class="o">-</span><span class="mi">6</span><span class="p">,</span> <span class="o">-</span><span class="mi">6</span><span class="p">],</span> <span class="n">gauss1</span><span class="p">)</span>
<span class="c1"># d is container, [6, 6, 6] is the start range (1 for each float in container),</span>
<span class="c1"># [-6, -6, -6] is end range, gauss1 is the functor.</span>
</pre></div>
</div>
<p>In sample method, the start range and end range should have the same number of
arguments as in the container. So for example, if you are using container of
<code class="docutils literal"><span class="pre">float7</span></code> than start range and end range each should contain <code class="docutils literal"><span class="pre">7</span></code> elements.</p>
<div class="admonition warning">
<p class="first admonition-title">Warning</p>
<p class="last">Any of device containers will not work with <code class="docutils literal"><span class="pre">Sample</span></code> method.</p>
</div>
<p>The complete method list supported by Random class can be found on <a class="footnote-reference" href="#f1" id="id1">[1]</a>.</p>
<p>The container list that can be passed to <code class="docutils literal"><span class="pre">Sample</span></code> method can be found on <a class="footnote-reference" href="#f2" id="id2">[2]</a>.</p>
<table class="docutils footnote" frame="void" id="f1" rules="none">
<colgroup><col class="label" /><col /></colgroup>
<tbody valign="top">
<tr><td class="label"><a class="fn-backref" href="#id1">[1]</a></td><td><p class="first">The method list for Random classes</p>
<ul class="last">
<li><p class="first"><code class="docutils literal"><span class="pre">GetSeed</span></code> Get the seed. Syntax:</p>
<blockquote>
<div><ul class="simple">
<li>seed = r.GetSeed()</li>
</ul>
</div></blockquote>
</li>
<li><p class="first"><code class="docutils literal"><span class="pre">SetSeed</span></code> Set seed. Syntax:</p>
<blockquote>
<div><ul class="simple">
<li>r.SetSeed(seed)</li>
</ul>
</div></blockquote>
</li>
<li><p class="first"><code class="docutils literal"><span class="pre">Gauss</span></code> Generate the Gauss distribution. Syntax:</p>
<blockquote>
<div><ul class="simple">
<li>r.Gauss(mean, sigma, container) # container can be [device/host]_vector_float</li>
</ul>
</div></blockquote>
</li>
<li><p class="first"><code class="docutils literal"><span class="pre">Uniform</span></code> Generate the Continuous Uniform distribution. Syntax:</p>
<blockquote>
<div><ul class="simple">
<li>r.Uniform(min, max, container) # container can be [device/host]_vector_float</li>
</ul>
</div></blockquote>
</li>
<li><p class="first"><code class="docutils literal"><span class="pre">Exp</span></code> Generate the Exponential distribution. Syntax:</p>
<blockquote>
<div><ul class="simple">
<li>r.Exp(tau, container) # container can be [device/host]_vector_float</li>
</ul>
</div></blockquote>
</li>
<li><p class="first"><code class="docutils literal"><span class="pre">BreitWigner</span></code> Generate the BreitWigner distribution. Syntax:</p>
<blockquote>
<div><ul class="simple">
<li>r.BreitWigner(mean, width, container) # container can be [device/host]_vector_float</li>
</ul>
</div></blockquote>
</li>
<li><p class="first"><code class="docutils literal"><span class="pre">Sample</span></code> sample the given function. Syntax:</p>
<blockquote>
<div><ul class="simple">
<li>iterator_accepted_events = r.Sample(container, [min_values_list], [max_limit_list], function) # Container could be any of the container listed below</li>
</ul>
</div></blockquote>
</li>
</ul>
</td></tr>
</tbody>
</table>
<table class="docutils footnote" frame="void" id="f2" rules="none">
<colgroup><col class="label" /><col /></colgroup>
<tbody valign="top">
<tr><td class="label"><a class="fn-backref" href="#id2">[2]</a></td><td><p class="first">The list of available containers to use with Random.</p>
<ul class="last">
<li><p class="first"><code class="docutils literal"><span class="pre">host_vector_float</span></code> host container with 1 float. Syntax:</p>
<blockquote>
<div><ul class="simple">
<li>h_container1 = hp.host_vector_float(size)</li>
</ul>
</div></blockquote>
</li>
<li><p class="first"><code class="docutils literal"><span class="pre">host_vector_float2</span></code> host container with 2 float. Syntax:</p>
<blockquote>
<div><ul class="simple">
<li>h_container2 = hp.host_vector_float2(size)</li>
</ul>
</div></blockquote>
</li>
<li><p class="first"><code class="docutils literal"><span class="pre">host_vector_float3</span></code> host container with 3 float. Syntax:</p>
<blockquote>
<div><ul class="simple">
<li>h_container3 = hp.host_vector_float3(size)</li>
</ul>
</div></blockquote>
</li>
<li><p class="first"><code class="docutils literal"><span class="pre">host_vector_float4</span></code> host container with 4 float. Syntax:</p>
<blockquote>
<div><ul class="simple">
<li>h_container4 = hp.host_vector_float4(size)</li>
</ul>
</div></blockquote>
</li>
<li><p class="first"><code class="docutils literal"><span class="pre">host_vector_float5</span></code> host container with 5 float. Syntax:</p>
<blockquote>
<div><ul class="simple">
<li>h_container5 = hp.host_vector_float5(size)</li>
</ul>
</div></blockquote>
</li>
<li><p class="first"><code class="docutils literal"><span class="pre">host_vector_float6</span></code> host container with 6 float. Syntax:</p>
<blockquote>
<div><ul class="simple">
<li>h_container6 = hp.host_vector_float6(size)</li>
</ul>
</div></blockquote>
</li>
<li><p class="first"><code class="docutils literal"><span class="pre">host_vector_float7</span></code> host container with 7 float. Syntax:</p>
<blockquote>
<div><ul class="simple">
<li>h_container7 = hp.host_vector_float7(size)</li>
</ul>
</div></blockquote>
</li>
<li><p class="first"><code class="docutils literal"><span class="pre">host_vector_float8</span></code> host container with 8 float. Syntax:</p>
<blockquote>
<div><ul class="simple">
<li>h_container8 = hp.host_vector_float8(size)</li>
</ul>
</div></blockquote>
</li>
<li><p class="first"><code class="docutils literal"><span class="pre">host_vector_float9</span></code> host container with 9 float. Syntax:</p>
<blockquote>
<div><ul class="simple">
<li>h_container9 = hp.host_vector_float9(size)</li>
</ul>
</div></blockquote>
</li>
<li><p class="first"><code class="docutils literal"><span class="pre">host_vector_float10</span></code> host container with 10 float. Syntax:</p>
<blockquote>
<div><ul class="simple">
<li>h_container10 = hp.host_vector_float10(size)</li>
</ul>
</div></blockquote>
</li>
<li><p class="first"><code class="docutils literal"><span class="pre">device_vector_float</span></code> device container with 1 float. Syntax:</p>
<blockquote>
<div><ul class="simple">
<li>d_container1 = hp.device_vector_float(size)</li>
</ul>
</div></blockquote>
</li>
<li><p class="first"><code class="docutils literal"><span class="pre">device_vector_float2</span></code> device container with 2 float. Syntax:</p>
<blockquote>
<div><ul class="simple">
<li>d_container2 = hp.device_vector_float2(size)</li>
</ul>
</div></blockquote>
</li>
<li><p class="first"><code class="docutils literal"><span class="pre">device_vector_float3</span></code> device container with 3 float. Syntax:</p>
<blockquote>
<div><ul class="simple">
<li>d_container3 = hp.device_vector_float3(size)</li>
</ul>
</div></blockquote>
</li>
<li><p class="first"><code class="docutils literal"><span class="pre">device_vector_float4</span></code> device container with 4 float. Syntax:</p>
<blockquote>
<div><ul class="simple">
<li>d_container4 = hp.device_vector_float4(size)</li>
</ul>
</div></blockquote>
</li>
<li><p class="first"><code class="docutils literal"><span class="pre">device_vector_float5</span></code> device container with 5 float. Syntax:</p>
<blockquote>
<div><ul class="simple">
<li>d_container5 = hp.device_vector_float5(size)</li>
</ul>
</div></blockquote>
</li>
<li><p class="first"><code class="docutils literal"><span class="pre">device_vector_float6</span></code> device container with 6 float. Syntax:</p>
<blockquote>
<div><ul class="simple">
<li>d_container6 = hp.device_vector_float6(size)</li>
</ul>
</div></blockquote>
</li>
<li><p class="first"><code class="docutils literal"><span class="pre">device_vector_float7</span></code> device container with 7 float. Syntax:</p>
<blockquote>
<div><ul class="simple">
<li>d_container7 = hp.device_vector_float7(size)</li>
</ul>
</div></blockquote>
</li>
<li><p class="first"><code class="docutils literal"><span class="pre">device_vector_float8</span></code> device container with 8 float. Syntax:</p>
<blockquote>
<div><ul class="simple">
<li>d_container8 = hp.device_vector_float8(size)</li>
</ul>
</div></blockquote>
</li>
<li><p class="first"><code class="docutils literal"><span class="pre">device_vector_float9</span></code> device container with 9 float. Syntax:</p>
<blockquote>
<div><ul class="simple">
<li>d_container9 = hp.device_vector_float9(size)</li>
</ul>
</div></blockquote>
</li>
<li><p class="first"><code class="docutils literal"><span class="pre">device_vector_float10</span></code> device container with 10 float. Syntax:</p>
<blockquote>
<div><ul class="simple">
<li>d_container10 = hp.device_vector_float10(size)</li>
</ul>
</div></blockquote>
</li>
</ul>
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