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<div id="projectname">Penning Trap Simulation
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<div id="projectbrief">Simulate particle behavior inside a Penning Trap</div>
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<a href="main_8cpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno"> 1</span> </div>
<div class="line"><a id="l00013" name="l00013"></a><span class="lineno"> 13</span><span class="preprocessor">#include &lt;filesystem&gt;</span></div>
<div class="line"><a id="l00014" name="l00014"></a><span class="lineno"> 14</span><span class="preprocessor">#include &lt;fstream&gt;</span></div>
<div class="line"><a id="l00015" name="l00015"></a><span class="lineno"> 15</span><span class="preprocessor">#include &lt;string&gt;</span></div>
<div class="line"><a id="l00016" name="l00016"></a><span class="lineno"> 16</span><span class="preprocessor">#include &lt;omp.h&gt;</span></div>
<div class="line"><a id="l00017" name="l00017"></a><span class="lineno"> 17</span><span class="preprocessor">#include &lt;sys/stat.h&gt;</span></div>
<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span> </div>
<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</span><span class="preprocessor">#include &quot;<a class="code" href="PenningTrap_8hpp.html">PenningTrap.hpp</a>&quot;</span></div>
<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span> </div>
<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span><span class="preprocessor">#define PARTICLES 100</span></div>
<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span><span class="preprocessor">#define N 10000</span></div>
<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span><span class="preprocessor">#define CHARGE 1.</span></div>
<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span><span class="preprocessor">#define MASS 40. </span><span class="comment">// unit: amu</span></div>
<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span> </div>
<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</span><span class="keywordtype">void</span> euler_100_particles()</div>
<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span>{</div>
<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span> <a class="code hl_class" href="classPenningTrap.html">PenningTrap</a> trap;</div>
<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span> </div>
<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span> <span class="comment">// Add particles inside trap</span></div>
<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i=0; i &lt; PARTICLES; i++) {</div>
<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span> arma::vec r = arma::vec(3).randn() * 0.1 * trap.get_d(); <span class="comment">// random initial position</span></div>
<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span> arma::vec v = arma::vec(3).randn() * 0.1 * trap.get_d(); <span class="comment">// random initial velocity</span></div>
<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span> trap.<a class="code hl_function" href="classPenningTrap.html#a6e9776ff5b149f01080800716455d7c8">add_particle</a>(<a class="code hl_class" href="classParticle.html">Particle</a>(CHARGE, MASS, r, v));</div>
<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span> }</div>
<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span> </div>
<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span> <span class="keywordtype">double</span> time = 50.; <span class="comment">// microseconds</span></div>
<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span> <span class="keywordtype">double</span> dt = time / (double) N;</div>
<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span> </div>
<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span> <span class="keyword">auto</span> res = <span class="keyword">new</span> arma::vec::fixed&lt;3&gt;[PARTICLES][N];</div>
<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span> </div>
<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span> <span class="keywordtype">int</span> counter = 0;</div>
<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span> </div>
<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span> <span class="comment">// Get the path of all particles</span></div>
<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j=0; j &lt; N; j++) {</div>
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span><span class="preprocessor"> #pragma omp parallel for </span></div>
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i=0; i &lt; PARTICLES; i++) {</div>
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span> res[i][j] = trap.get_particle(i);</div>
<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span> }</div>
<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span> trap.<a class="code hl_function" href="classPenningTrap.html#a56544b6f4befb42984e9650cf2a40965">evolve_forward_euler</a>(dt);</div>
<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span> }</div>
<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span> </div>
<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span> std::cout &lt;&lt; counter &lt;&lt; std::endl;</div>
<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span> </div>
<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span> arma::vec::fixed&lt;3&gt;* cur_row;</div>
<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> arma::vec::fixed&lt;3&gt; cur_elem;</div>
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> </div>
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> mkdir(<span class="stringliteral">&quot;output&quot;</span>, 0777);</div>
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> </div>
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span> std::ofstream ofile;</div>
<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> </div>
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> <span class="comment">// Write particle paths to file</span></div>
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span><span class="preprocessor"> #pragma omp parallel for private(cur_row, cur_elem, ofile)</span></div>
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i=0; i &lt; PARTICLES; i++) {</div>
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> cur_row = res[i];</div>
<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> ofile.open(<span class="stringliteral">&quot;output/p&quot;</span> + std::to_string(i) + <span class="stringliteral">&quot;.txt&quot;</span>);</div>
<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j=0; j &lt; N; j++) {</div>
<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> cur_elem = cur_row[j];</div>
<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span> ofile &lt;&lt; cur_elem(0) &lt;&lt; <span class="stringliteral">&quot;,&quot;</span> </div>
<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span> &lt;&lt; cur_elem(1) &lt;&lt; <span class="stringliteral">&quot;,&quot;</span> </div>
<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span> &lt;&lt; cur_elem(2) &lt;&lt; <span class="stringliteral">&quot;\n&quot;</span>;</div>
<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span> }</div>
<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span> ofile.close();</div>
<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span> }</div>
<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span>}</div>
<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> </div>
<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span><span class="keywordtype">int</span> main()</div>
<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span>{</div>
<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span> <span class="keywordtype">double</span> start = omp_get_wtime();</div>
<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> </div>
<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span> euler_100_particles();</div>
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span> </div>
<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> <span class="keywordtype">double</span> end = omp_get_wtime();</div>
<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> </div>
<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span> std::cout &lt;&lt; <span class="stringliteral">&quot;Time: &quot;</span> &lt;&lt; end - start &lt;&lt; <span class="stringliteral">&quot; seconds&quot;</span> &lt;&lt; std::endl;</div>
<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span> </div>
<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span>}</div>
<div class="ttc" id="aPenningTrap_8hpp_html"><div class="ttname"><a href="PenningTrap_8hpp.html">PenningTrap.hpp</a></div><div class="ttdoc">A class for simulating a Penning trap.</div></div>
<div class="ttc" id="aclassParticle_html"><div class="ttname"><a href="classParticle.html">Particle</a></div><div class="ttdoc">A class that holds attributes of a particle.</div><div class="ttdef"><b>Definition:</b> <a href="Particle_8hpp_source.html#l00019">Particle.hpp:19</a></div></div>
<div class="ttc" id="aclassPenningTrap_html"><div class="ttname"><a href="classPenningTrap.html">PenningTrap</a></div><div class="ttdoc">A class that simulates a Penning trap.</div><div class="ttdef"><b>Definition:</b> <a href="PenningTrap_8hpp_source.html#l00025">PenningTrap.hpp:25</a></div></div>
<div class="ttc" id="aclassPenningTrap_html_a56544b6f4befb42984e9650cf2a40965"><div class="ttname"><a href="classPenningTrap.html#a56544b6f4befb42984e9650cf2a40965">PenningTrap::evolve_forward_euler</a></div><div class="ttdeci">void evolve_forward_euler(double dt)</div><div class="ttdoc">Go forward one timestep using the forward Euler method.</div><div class="ttdef"><b>Definition:</b> <a href="PenningTrap_8cpp_source.html#l00121">PenningTrap.cpp:121</a></div></div>
<div class="ttc" id="aclassPenningTrap_html_a6e9776ff5b149f01080800716455d7c8"><div class="ttname"><a href="classPenningTrap.html#a6e9776ff5b149f01080800716455d7c8">PenningTrap::add_particle</a></div><div class="ttdeci">void add_particle(Particle particle)</div><div class="ttdoc">Add a particle to the system.</div><div class="ttdef"><b>Definition:</b> <a href="PenningTrap_8cpp_source.html#l00033">PenningTrap.cpp:33</a></div></div>
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