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<div class="section" id="phasespace-class">
<h1>PhaseSpace Class<a class="headerlink" href="#phasespace-class" title="Permalink to this headline">¶</a></h1>
<p>Ths class implements the phase-space Monte Carlo simulation where N is the number
of particles in the Final state. Currently PhaseSpace class supports up-to
N=10 number of particles in the Final state. Most of the PhaseSpace class
methods can work on both <code class="docutils literal"><span class="pre">HOST</span></code> and <code class="docutils literal"><span class="pre">DEVICE</span></code>. The number of particles is
associated with suffix with the class name.</p>
<p>This class is a wrapper of C++ PhaseSpace class. The PhaseSpace class one constructor
to instantiate the PhaseSpace class:</p>
<ul class="simple">
<li>Constructor with mother mass and N number of daughter masses.</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">hypy</span>
<span class="n">vec4</span> <span class="o">=</span> <span class="n">hypy</span><span class="o">.</span><span class="n">Vector4R</span><span class="p">(</span><span class="mf">5.2795</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">)</span>
<span class="n">p</span> <span class="o">=</span> <span class="n">hypy</span><span class="o">.</span><span class="n">PhaseSpace4</span><span class="p">(</span><span class="n">vec4</span><span class="o">.</span><span class="n">mass</span><span class="p">(),</span> <span class="p">[</span><span class="mf">3.096916</span><span class="p">,</span> <span class="mf">0.493677</span><span class="p">,</span> <span class="mf">0.13957018</span><span class="p">,</span> <span class="mf">0.0195018</span><span class="p">])</span>
<span class="c1"># This will construct the PhaseSpace object with the mass provided by the vector4R</span>
<span class="c1"># class and the exactly 4 daughter masses in the list.</span>
</pre></div>
</div>
<p>The PhaseSpace classes provides the method to Generate a phase-space given a mother particle and an output range
or a phase-space given a range of mother particles and an output range.</p>
<div class="highlight-python"><div class="highlight"><pre><span class="c1"># The below example generates and fills 3 states of 4 particle host events</span>
<span class="n">vec4</span> <span class="o">=</span> <span class="n">hypy</span><span class="o">.</span><span class="n">Vector4R</span><span class="p">(</span><span class="mf">5.2795</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">)</span>
<span class="n">ps</span> <span class="o">=</span> <span class="n">hypy</span><span class="o">.</span><span class="n">PhaseSpace4</span><span class="p">(</span><span class="n">vec4</span><span class="o">.</span><span class="n">mass</span><span class="p">(),</span> <span class="p">[</span><span class="mf">3.096916</span><span class="p">,</span> <span class="mf">0.493677</span><span class="p">,</span> <span class="mf">0.13957018</span><span class="p">,</span> <span class="mf">0.0195018</span><span class="p">])</span>
<span class="n">e_host</span> <span class="o">=</span> <span class="n">hypy</span><span class="o">.</span><span class="n">host_events_4</span><span class="p">(</span><span class="mi">3</span><span class="p">)</span>
<span class="n">e_device</span> <span class="o">=</span> <span class="n">hypy</span><span class="o">.</span><span class="n">device_events_4</span><span class="p">(</span><span class="mi">3</span><span class="p">)</span>
<span class="n">ps</span><span class="o">.</span><span class="n">GenerateOnhost</span><span class="p">(</span><span class="n">vec4</span><span class="p">,</span> <span class="n">e_host</span><span class="p">)</span> <span class="c1"># Generate particle on host</span>
<span class="n">ps</span><span class="o">.</span><span class="n">GenerateOndevice</span><span class="p">(</span><span class="n">vec</span><span class="p">,</span> <span class="n">e_device</span><span class="p">)</span> <span class="c1"># Generate particle on device</span>
</pre></div>
</div>
<div class="highlight-python"><div class="highlight"><pre><span class="n">B0_mass</span> <span class="o">=</span> <span class="mf">5.27955</span>
<span class="n">B0</span> <span class="o">=</span> <span class="n">hypy</span><span class="o">.</span><span class="n">Vector4R</span><span class="p">(</span><span class="n">B0_mass</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">)</span>
<span class="n">mothers</span> <span class="o">=</span> <span class="n">hypy</span><span class="o">.</span><span class="n">host_vector_float4</span><span class="p">(</span><span class="mi">5</span><span class="p">)</span>
<span class="c1"># Fill mother with some particles</span>
<span class="n">mothers</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span> <span class="o">=</span> <span class="p">(</span><span class="mf">3.326536152819228</span><span class="p">,</span> <span class="o">-</span><span class="mf">0.7376241292510032</span><span class="p">,</span> <span class="mf">0.9527533342879685</span><span class="p">,</span> <span class="mf">0.15239715864543849</span><span class="p">)</span>
<span class="n">mothers</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span> <span class="o">=</span> <span class="p">(</span><span class="mf">3.3327060111834546</span><span class="p">,</span> <span class="o">-</span><span class="mf">0.44741166640978447</span><span class="p">,</span> <span class="mf">1.012640505284964</span><span class="p">,</span> <span class="o">-</span><span class="mf">0.5390007001803998</span><span class="p">)</span>
<span class="n">mothers</span><span class="p">[</span><span class="mi">2</span><span class="p">]</span> <span class="o">=</span> <span class="p">(</span><span class="mf">3.4673036097962844</span><span class="p">,</span> <span class="mf">0.6781637974979919</span><span class="p">,</span> <span class="o">-</span><span class="mf">1.4020213115136253</span><span class="p">,</span> <span class="o">-</span><span class="mf">0.0763859825560801</span><span class="p">)</span>
<span class="n">mothers</span><span class="p">[</span><span class="mi">3</span><span class="p">]</span> <span class="o">=</span> <span class="p">(</span><span class="mf">3.5042443315560945</span><span class="p">,</span> <span class="mf">1.5383404921780213</span><span class="p">,</span> <span class="o">-</span><span class="mf">0.1442073504412384</span><span class="p">,</span> <span class="o">-</span><span class="mf">0.5492280905481964</span><span class="p">)</span>
<span class="n">mothers</span><span class="p">[</span><span class="mi">4</span><span class="p">]</span> <span class="o">=</span> <span class="p">(</span><span class="mf">3.4406218104833015</span><span class="p">,</span> <span class="o">-</span><span class="mf">0.16339927010014546</span><span class="p">,</span> <span class="mf">1.363729549941791</span><span class="p">,</span> <span class="mf">0.6005257912194031</span><span class="p">)</span>
<span class="n">phsp2</span> <span class="o">=</span> <span class="n">hypy</span><span class="o">.</span><span class="n">PhaseSpace2</span><span class="p">(</span><span class="mf">3.0969</span><span class="p">,</span> <span class="p">[</span><span class="mf">0.1056583745</span><span class="p">,</span> <span class="mf">0.1056583745</span><span class="p">])</span>
<span class="n">container</span> <span class="o">=</span> <span class="n">hypy</span><span class="o">.</span><span class="n">host_events_2</span><span class="p">(</span><span class="mi">5</span><span class="p">)</span>
<span class="n">phsp2</span><span class="o">.</span><span class="n">GenerateOnhost</span><span class="p">(</span><span class="n">mothers</span><span class="p">,</span> <span class="n">grand_daughter</span><span class="p">)</span>
<span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="n">grand_daughter</span><span class="p">:</span> <span class="k">print</span><span class="p">(</span><span class="n">i</span><span class="p">)</span>
</pre></div>
</div>
<p>The <code class="docutils literal"><span class="pre">AverageOnhost</span></code> and <code class="docutils literal"><span class="pre">AverageOndevice</span></code> method by PhaseSpace classes calculate the
<code class="docutils literal"><span class="pre">mean</span></code> and <code class="docutils literal"><span class="pre">sqrt(variance)</span></code> of a functor over the phase-space with n-samples or
of a functor over the phase-space given a list of mother particles.</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">hypy</span>
<span class="kn">import</span> <span class="nn">math</span>
<span class="k">def</span> <span class="nf">foo</span><span class="p">(</span><span class="o">*</span><span class="n">data</span><span class="p">):</span>
<span class="n">p1</span><span class="p">,</span> <span class="n">p2</span><span class="p">,</span> <span class="n">p3</span> <span class="o">=</span> <span class="n">data</span><span class="p">[</span><span class="mi">0</span><span class="p">],</span> <span class="n">data</span><span class="p">[</span><span class="mi">1</span><span class="p">],</span> <span class="n">data</span><span class="p">[</span><span class="mi">2</span><span class="p">]</span>
<span class="n">p</span> <span class="o">=</span> <span class="n">p1</span> <span class="o">+</span> <span class="n">p2</span> <span class="o">+</span> <span class="n">p3</span>
<span class="n">q</span> <span class="o">=</span> <span class="n">p2</span> <span class="o">+</span> <span class="n">p3</span>
<span class="n">pd</span> <span class="o">=</span> <span class="n">p</span> <span class="o">*</span> <span class="n">p2</span>
<span class="n">pq</span> <span class="o">=</span> <span class="n">p</span> <span class="o">*</span> <span class="n">q</span>
<span class="n">qd</span> <span class="o">=</span> <span class="n">q</span> <span class="o">*</span> <span class="n">p2</span>
<span class="n">mp2</span> <span class="o">=</span> <span class="n">p</span><span class="o">.</span><span class="n">mass2</span><span class="p">()</span>
<span class="n">mq2</span> <span class="o">=</span> <span class="n">q</span><span class="o">.</span><span class="n">mass2</span><span class="p">()</span>
<span class="n">md2</span> <span class="o">=</span> <span class="n">p2</span><span class="o">.</span><span class="n">mass2</span><span class="p">()</span>
<span class="k">return</span> <span class="p">(</span><span class="n">pd</span> <span class="o">*</span> <span class="n">mq2</span> <span class="o">-</span> <span class="n">pq</span> <span class="o">*</span> <span class="n">qd</span><span class="p">)</span> <span class="o">/</span> <span class="n">math</span><span class="o">.</span><span class="n">sqrt</span><span class="p">((</span><span class="n">pq</span> <span class="o">*</span> <span class="n">pq</span> <span class="o">-</span> <span class="n">mq2</span> <span class="o">*</span> <span class="n">mp2</span><span class="p">)</span> <span class="o">*</span> <span class="p">(</span><span class="n">qd</span> <span class="o">*</span> <span class="n">qd</span> <span class="o">-</span> <span class="n">mq2</span> <span class="o">*</span> <span class="n">md2</span><span class="p">))</span>
<span class="n">vec4</span> <span class="o">=</span> <span class="n">hypy</span><span class="o">.</span><span class="n">Vector4R</span><span class="p">(</span><span class="mf">5.2795</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">,</span> <span class="mf">0.0</span><span class="p">)</span>
<span class="n">p</span> <span class="o">=</span> <span class="n">hypy</span><span class="o">.</span><span class="n">PhaseSpace4</span><span class="p">(</span><span class="n">vec4</span><span class="o">.</span><span class="n">mass</span><span class="p">(),</span> <span class="p">[</span><span class="mf">3.096916</span><span class="p">,</span> <span class="mf">0.493677</span><span class="p">,</span> <span class="mf">0.13957018</span><span class="p">,</span> <span class="mf">0.0195018</span><span class="p">])</span>
<span class="n">tup1</span> <span class="o">=</span> <span class="n">p</span><span class="o">.</span><span class="n">AverageOnhost</span><span class="p">(</span><span class="n">vec4</span><span class="p">,</span> <span class="n">foo</span><span class="p">,</span> <span class="mi">10</span><span class="p">)</span> <span class="c1"># Average of host, currently passing functor to device will fail</span>
<span class="k">print</span> <span class="p">(</span><span class="n">tup</span><span class="p">[</span><span class="mi">0</span><span class="p">])</span> <span class="c1"># Mean</span>
<span class="k">print</span> <span class="p">(</span><span class="n">tup</span><span class="p">[</span><span class="mi">1</span><span class="p">])</span> <span class="c1"># sqrt of variance</span>
</pre></div>
</div>
<p>Like generators, the Average on method also can accept the list of mother particle instead of one mother particle
and calculate the <code class="docutils literal"><span class="pre">mean</span></code> and <code class="docutils literal"><span class="pre">sqrt(variance)</span></code>.</p>
<p>The <code class="docutils literal"><span class="pre">EvaluateOnhost</span></code> and <code class="docutils literal"><span class="pre">EvaluateOndevice</span></code> evaluates a functor over the passed one mother particle or the list
of mother particles.</p>
<p>The complete list of the classes in the PhaseSpace can be found on <a class="footnote-reference" href="#f1" id="id1">[1]</a> and complete method list supported
by PhaseSpace Events classes 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 list of PhaseSpace classes</p>
<ul class="last">
<li><p class="first"><code class="docutils literal"><span class="pre">PhaseSpace2</span></code> Generate the phase-space with 2 particles. Syntax:</p>
<blockquote>
<div><ul class="simple">
<li>p = hypy.PhaseSpace2(mass, [2 daughter masses])</li>
</ul>
</div></blockquote>
</li>
<li><p class="first"><code class="docutils literal"><span class="pre">PhaseSpace3</span></code> Generate the phase-space with 3 particles. Syntax:</p>
<blockquote>
<div><ul class="simple">
<li>p = hypy.PhaseSpace3(mass, [3 daughter masses])</li>
</ul>
</div></blockquote>
</li>
<li><p class="first"><code class="docutils literal"><span class="pre">PhaseSpace4</span></code> Generate the phase-space with 4 particles. Syntax:</p>
<blockquote>
<div><ul class="simple">
<li>p = hypy.PhaseSpace4(mass, [4 daughter masses])</li>
</ul>
</div></blockquote>
</li>
<li><p class="first"><code class="docutils literal"><span class="pre">PhaseSpace5</span></code> Generate the phase-space with 5 particles. Syntax:</p>
<blockquote>
<div><ul class="simple">
<li>p = hypy.PhaseSpace5(mass, [5 daughter masses])</li>
</ul>
</div></blockquote>
</li>
<li><p class="first"><code class="docutils literal"><span class="pre">PhaseSpace6</span></code> Generate the phase-space with 6 particles. Syntax:</p>
<blockquote>
<div><ul class="simple">
<li>p = hypy.PhaseSpace6(mass, [6 daughter masses])</li>
</ul>
</div></blockquote>
</li>
<li><p class="first"><code class="docutils literal"><span class="pre">PhaseSpace7</span></code> Generate the phase-space with 7 particles. Syntax:</p>
<blockquote>
<div><ul class="simple">
<li>p = hypy.PhaseSpace7(mass, [7 daughter masses])</li>
</ul>
</div></blockquote>
</li>
<li><p class="first"><code class="docutils literal"><span class="pre">PhaseSpace8</span></code> Generate the phase-space with 8 particles. Syntax:</p>
<blockquote>
<div><ul class="simple">
<li>p = hypy.PhaseSpace8(mass, [8 daughter masses])</li>
</ul>
</div></blockquote>
</li>
<li><p class="first"><code class="docutils literal"><span class="pre">PhaseSpace9</span></code> Generate the phase-space with 9 particles. Syntax:</p>
<blockquote>
<div><ul class="simple">
<li>p = hypy.PhaseSpace9(mass, [9 daughter masses])</li>
</ul>
</div></blockquote>
</li>
<li><p class="first"><code class="docutils literal"><span class="pre">PhaseSpace10</span></code> Generate the phase-space with 10 particles. Syntax:</p>
<blockquote>
<div><ul class="simple">
<li>p = hypy.PhaseSpace10(mass, [10 daughter masses])</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 method list for PhaseSpace 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>p.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>p.SetSeed(seed)</li>
</ul>
</div></blockquote>
</li>
<li><p class="first"><code class="docutils literal"><span class="pre">GenerateOnhost</span></code> Generate the phase-space. Syntax:</p>
<blockquote>
<div><ul class="simple">
<li>p.GenerateOnhost(vector4R, event)</li>
<li>p.GenerateOnhost(hypy.host_vector_float4& mothers, event)</li>
</ul>
</div></blockquote>
</li>
<li><p class="first"><code class="docutils literal"><span class="pre">GenerateOndevice</span></code> Generate the phase-space. Syntax:</p>
<blockquote>
<div><ul class="simple">
<li>p.GenerateOndevice(vector4R, event)</li>
<li>p.GenerateOndevice(hypy.device_vector_float4& mothers, event)</li>
</ul>
</div></blockquote>
</li>
<li><p class="first"><code class="docutils literal"><span class="pre">AverageOnhost</span></code> Get the mean and sqrt of variance. Syntax:</p>
<blockquote>
<div><ul class="simple">
<li>p.AverageOnhost(vector4R, functor, number_of_entires)</li>
<li>p.AverageOnhost(hypy.host_vector_float4& mothers, functor)</li>
</ul>
</div></blockquote>
</li>
<li><p class="first"><code class="docutils literal"><span class="pre">AverageOndevice</span></code> Get the mean and sqrt of variance. Syntax:</p>
</li>
<li><p class="first"><code class="docutils literal"><span class="pre">AverageOndevice</span></code> Get the mean and sqrt of variance. Syntax:</p>
<blockquote>
<div><ul class="simple">
<li>p.AverageOndevice(vector4R, functor, number_of_entires)</li>
<li>p.AverageOndevice(hypy.device_vector_float4& mothers, functor)</li>
</ul>
</div></blockquote>
</li>
<li><p class="first"><code class="docutils literal"><span class="pre">EvaluateOnhost</span></code> Evaluate a function over the given particle or list of particles:</p>
<blockquote>
<div><ul class="simple">
<li>p.EvaluateOnhost(vector4R, hypy.host_vector_float2& result, functor)</li>
<li>p.EvaluateOnhost(hypy.host_vector_float4& mothers, hypy.host_vector_float2& result, functor)</li>
</ul>
</div></blockquote>
</li>
<li><p class="first"><code class="docutils literal"><span class="pre">EvaluateOndevice</span></code> Evaluate a function over the given particle or list of particles:</p>
<blockquote>
<div><ul class="simple">
<li>p.EvaluateOndevice(vector4R, hypy.device_vector_float2& result, functor)</li>
<li>p.EvaluateOndevice(hypy.device_vector_float4& mothers, hypy.device_vector_float2& result, functor)</li>
</ul>
</div></blockquote>
</li>
</ul>
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