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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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<div class="headertitle"><div class="title">main.cpp</div></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>
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<div class="line"><a id="l00013" name="l00013"></a><span class="lineno"> 13</span><span class="preprocessor">#include <cmath></span></div>
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<div class="line"><a id="l00014" name="l00014"></a><span class="lineno"> 14</span><span class="preprocessor">#include <fstream></span></div>
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<div class="line"><a id="l00015" name="l00015"></a><span class="lineno"> 15</span><span class="preprocessor">#include <omp.h></span></div>
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<div class="line"><a id="l00016" name="l00016"></a><span class="lineno"> 16</span><span class="preprocessor">#include <string></span></div>
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<div class="line"><a id="l00017" name="l00017"></a><span class="lineno"> 17</span><span class="preprocessor">#include <sys/stat.h></span></div>
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<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span><span class="preprocessor">#include <vector></span></div>
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<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</span> </div>
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<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span><span class="preprocessor">#include "<a class="code" href="PenningTrap_8hpp.html">PenningTrap.hpp</a>"</span></div>
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<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span><span class="preprocessor">#include "<a class="code" href="utils_8hpp.html">utils.hpp</a>"</span></div>
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<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span> </div>
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<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span><span class="preprocessor">#define PARTICLES 100</span></div>
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<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span><span class="preprocessor">#define N 10000</span></div>
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<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span><span class="preprocessor">#define CHARGE 1.</span></div>
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<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</span><span class="preprocessor">#define MASS 40. </span><span class="comment">// unit: amu</span></div>
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<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span> </div>
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<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span><a class="code hl_class" href="classParticle.html">Particle</a> p1(CHARGE, MASS, <a class="code hl_typedef" href="typedefs_8hpp.html#a9f33f4962c8fb62cc5ccd0e4e039a8df">vec_3d</a>{20., 0., 20.}, <a class="code hl_typedef" href="typedefs_8hpp.html#a9f33f4962c8fb62cc5ccd0e4e039a8df">vec_3d</a>{0., 25., 0.});</div>
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<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span><a class="code hl_class" href="classParticle.html">Particle</a> p2(CHARGE, MASS, <a class="code hl_typedef" href="typedefs_8hpp.html#a9f33f4962c8fb62cc5ccd0e4e039a8df">vec_3d</a>{25., 25., 0.}, <a class="code hl_typedef" href="typedefs_8hpp.html#a9f33f4962c8fb62cc5ccd0e4e039a8df">vec_3d</a>{0., 40., 5.});</div>
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<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span> </div>
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<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span><span class="keywordtype">void</span> simulate_single_particle()</div>
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<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span>{</div>
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<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span> <a class="code hl_define" href="utils_8hpp.html#aecc1f7a8a2493b9e021e5bff76a00a5b">DEBUG</a>(<span class="stringliteral">"Inside single particle sim"</span>);</div>
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<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span> <a class="code hl_class" href="classPenningTrap.html">PenningTrap</a> trap(std::vector<Particle>{p1});</div>
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<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span> </div>
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<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span> <span class="keywordtype">double</span> time = 50.; <span class="comment">// microseconds</span></div>
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<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span> </div>
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<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span> <a class="code hl_define" href="utils_8hpp.html#aecc1f7a8a2493b9e021e5bff76a00a5b">DEBUG</a>(<span class="stringliteral">"Write to dir"</span>);</div>
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<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span> trap.write_simulation_to_dir(<span class="stringliteral">"output/simulate_single_particle"</span>, time, N);</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> </div>
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<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span><span class="keywordtype">void</span> simulate_two_particles()</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="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span> <a class="code hl_class" href="classPenningTrap.html">PenningTrap</a> trap_no_interaction(std::vector<Particle>{p1, p2});</div>
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<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span> <a class="code hl_class" href="classPenningTrap.html">PenningTrap</a> trap_with_interaction(std::vector<Particle>{p1, p2});</div>
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<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span> </div>
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<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span> <span class="keywordtype">double</span> time = 50.; <span class="comment">// microseconds</span></div>
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<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span> </div>
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<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span> trap_no_interaction.<a class="code hl_function" href="classPenningTrap.html#abbb832a85139b1a56ebde57d7b8f9a57">write_simulation_to_dir</a>(</div>
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<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span> <span class="stringliteral">"output/simulate_2_particles/no_interaction"</span>, time, N, <span class="stringliteral">"rk4"</span>, <span class="keyword">false</span>);</div>
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<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span> trap_with_interaction.write_simulation_to_dir(</div>
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<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span> <span class="stringliteral">"output/simulate_2_particles/with_interaction"</span>, time, N);</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 class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span> </div>
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<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span><span class="keywordtype">void</span> simulate_single_particle_with_different_steps()</div>
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<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span>{</div>
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<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> </div>
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<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> <span class="keywordtype">double</span> time = 50; <span class="comment">// microseconds</span></div>
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<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> </div>
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<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < 4; i++) {</div>
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<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> <span class="keywordtype">int</span> steps = 4000 * (i + 1);</div>
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<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> <a class="code hl_class" href="classPenningTrap.html">PenningTrap</a> trap(std::vector<Particle>{p1});</div>
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<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> trap.<a class="code hl_function" href="classPenningTrap.html#abbb832a85139b1a56ebde57d7b8f9a57">write_simulation_to_dir</a>(<span class="stringliteral">"output/N_steps/RK4/"</span> +</div>
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<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> std::to_string(steps) + <span class="stringliteral">"_steps"</span>,</div>
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<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> time, steps, <span class="stringliteral">"rk4"</span>, <span class="keyword">false</span>);</div>
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<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</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="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < 4; i++) {</div>
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<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span> <span class="keywordtype">int</span> steps = 4000 * (i + 1);</div>
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<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span> <a class="code hl_class" href="classPenningTrap.html">PenningTrap</a> trap(std::vector<Particle>{p1});</div>
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<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span> trap.<a class="code hl_function" href="classPenningTrap.html#abbb832a85139b1a56ebde57d7b8f9a57">write_simulation_to_dir</a>(<span class="stringliteral">"output/N_steps/euler/"</span> +</div>
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<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span> std::to_string(steps) + <span class="stringliteral">"_steps"</span>,</div>
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<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span> time, steps, <span class="stringliteral">"euler"</span>, <span class="keyword">false</span>);</div>
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<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span> }</div>
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<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span>}</div>
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<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> </div>
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<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span><span class="keywordtype">void</span> simulate_100_particles()</div>
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<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span>{</div>
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<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span> <a class="code hl_class" href="classPenningTrap.html">PenningTrap</a> trap((<span class="keywordtype">unsigned</span>)100, <a class="code hl_define" href="constants_8hpp.html#a0acb682b8260ab1c60b918599864e2e5">T</a>,</div>
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<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> [](<span class="keywordtype">double</span> t) {</div>
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<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span> <span class="keywordflow">return</span> 25. * <a class="code hl_define" href="constants_8hpp.html#af40a326b23c68a27cebe60f16634a2cb">V</a> / 1000. *</div>
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<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span> (1. + .4 * std::cos(1.5 * t));</div>
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<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> },</div>
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<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> 500., 0);</div>
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<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span> </div>
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<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span> <span class="keywordtype">double</span> time = 500.; <span class="comment">// microseconds</span></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> trap.<a class="code hl_function" href="classPenningTrap.html#abbb832a85139b1a56ebde57d7b8f9a57">write_simulation_to_dir</a>(<span class="stringliteral">"output/simulate_100_particles"</span>, time, N*5);</div>
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<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</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="keywordtype">void</span> simulate_100_particles_with_time_potential()</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> <span class="keywordtype">double</span> amplitudes[]{.1, .4, .7};</div>
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<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> </div>
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<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> <span class="keywordtype">double</span> freq_start = .2;</div>
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<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> <span class="keywordtype">double</span> freq_end = 2.5;</div>
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<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span> <span class="keywordtype">double</span> freq_increment = .02;</div>
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<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span> <span class="keywordtype">size_t</span> freq_iterations = (size_t) ((freq_end - freq_start) / freq_increment);</div>
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<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span> </div>
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<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span> std::string path = <span class="stringliteral">"output/time_dependent_potential/"</span>;</div>
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<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span> <a class="code hl_function" href="utils_8hpp.html#a6fdd7217b750aff5b6295ece7cbdeffa">mkpath</a>(path);</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::ofstream ofile;</div>
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<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span> </div>
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<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span> <span class="keywordflow">for</span> (<span class="keywordtype">double</span> f : amplitudes) {</div>
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<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span> ofile.open(path + <span class="stringliteral">"f_"</span> + std::to_string(f) + <span class="stringliteral">".txt"</span>);</div>
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<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span><span class="preprocessor"> #pragma omp parallel for ordered schedule(static, 1)</span></div>
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<div class="line"><a id="l00108" name="l00108"></a><span class="lineno"> 108</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i=0; i < freq_iterations; i++) {</div>
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<div class="line"><a id="l00109" name="l00109"></a><span class="lineno"> 109</span> <span class="keywordtype">double</span> freq = freq_start + i*freq_increment;</div>
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<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"> 110</span> <a class="code hl_class" href="classPenningTrap.html">PenningTrap</a> trap((<span class="keywordtype">unsigned</span>)100, <a class="code hl_define" href="constants_8hpp.html#a0acb682b8260ab1c60b918599864e2e5">T</a>,</div>
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<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span> [f, freq](<span class="keywordtype">double</span> t) {</div>
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<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span> <span class="keywordflow">return</span> (25. * <a class="code hl_define" href="constants_8hpp.html#af40a326b23c68a27cebe60f16634a2cb">V</a> / 1000.) *</div>
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<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span> (1. + f * std::cos(freq * t));</div>
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<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span> },</div>
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<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span> 500., 0.);</div>
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<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span> <span class="keywordtype">double</span> res = trap.<a class="code hl_function" href="classPenningTrap.html#a0194be61c956a9259c747c23e4163c5b">fraction_of_particles_left</a>(500., 40000, <span class="stringliteral">"rk4"</span>, <span class="keyword">true</span>);</div>
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<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span><span class="preprocessor"> #pragma omp ordered</span></div>
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<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span> ofile << freq << <span class="stringliteral">","</span> << res << <span class="stringliteral">"\n"</span>;</div>
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<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span> }</div>
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<div class="line"><a id="l00120" name="l00120"></a><span class="lineno"> 120</span> ofile.close();</div>
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<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</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> </div>
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<div class="line"><a id="l00124" name="l00124"></a><span class="lineno"> 124</span><span class="keywordtype">int</span> main()</div>
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<div class="line"><a id="l00125" name="l00125"></a><span class="lineno"> 125</span>{</div>
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<div class="line"><a id="l00126" name="l00126"></a><span class="lineno"> 126</span> </div>
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<div class="line"><a id="l00127" name="l00127"></a><span class="lineno"> 127</span> simulate_single_particle();</div>
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<div class="line"><a id="l00128" name="l00128"></a><span class="lineno"> 128</span> </div>
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<div class="line"><a id="l00129" name="l00129"></a><span class="lineno"> 129</span> simulate_two_particles();</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> simulate_single_particle_with_different_steps();</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> <span class="keywordtype">double</span> start = omp_get_wtime();</div>
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<div class="line"><a id="l00134" name="l00134"></a><span class="lineno"> 134</span> </div>
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<div class="line"><a id="l00135" name="l00135"></a><span class="lineno"> 135</span> <span class="comment">//simulate_100_particles();</span></div>
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<div class="line"><a id="l00136" name="l00136"></a><span class="lineno"> 136</span> </div>
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<div class="line"><a id="l00137" name="l00137"></a><span class="lineno"> 137</span> simulate_100_particles_with_time_potential();</div>
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<div class="line"><a id="l00138" name="l00138"></a><span class="lineno"> 138</span> </div>
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<div class="line"><a id="l00139" name="l00139"></a><span class="lineno"> 139</span> <span class="keywordtype">double</span> end = omp_get_wtime();</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">"Time: "</span> << end - start << <span class="stringliteral">" seconds"</span> << std::endl;</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 class="line"><a id="l00143" name="l00143"></a><span class="lineno"> 143</span> <span class="keywordflow">return</span> 0;</div>
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<div class="line"><a id="l00144" name="l00144"></a><span class="lineno"> 144</span>}</div>
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<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>
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<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#l00021">Particle.hpp:21</a></div></div>
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<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#l00030">PenningTrap.hpp:30</a></div></div>
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<div class="ttc" id="aclassPenningTrap_html_a0194be61c956a9259c747c23e4163c5b"><div class="ttname"><a href="classPenningTrap.html#a0194be61c956a9259c747c23e4163c5b">PenningTrap::fraction_of_particles_left</a></div><div class="ttdeci">double fraction_of_particles_left(double time, unsigned int steps, std::string method="rk4", bool particle_interaction=true)</div><div class="ttdoc">Simulate and calculate what fraction of particles are still left inside the Penning trap after the si...</div><div class="ttdef"><b>Definition:</b> <a href="PenningTrap_8cpp_source.html#l00266">PenningTrap.cpp:266</a></div></div>
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<div class="ttc" id="aclassPenningTrap_html_abbb832a85139b1a56ebde57d7b8f9a57"><div class="ttname"><a href="classPenningTrap.html#abbb832a85139b1a56ebde57d7b8f9a57">PenningTrap::write_simulation_to_dir</a></div><div class="ttdeci">void write_simulation_to_dir(std::string path, double time, unsigned int steps, std::string method="rk4", bool particle_interaction=true)</div><div class="ttdoc">Simulate and write the displacement of all particles to files.</div><div class="ttdef"><b>Definition:</b> <a href="PenningTrap_8cpp_source.html#l00240">PenningTrap.cpp:240</a></div></div>
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<div class="ttc" id="aconstants_8hpp_html_a0acb682b8260ab1c60b918599864e2e5"><div class="ttname"><a href="constants_8hpp.html#a0acb682b8260ab1c60b918599864e2e5">T</a></div><div class="ttdeci">#define T</div><div class="ttdoc">1 Tesla. unit:</div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00017">constants.hpp:17</a></div></div>
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<div class="ttc" id="aconstants_8hpp_html_af40a326b23c68a27cebe60f16634a2cb"><div class="ttname"><a href="constants_8hpp.html#af40a326b23c68a27cebe60f16634a2cb">V</a></div><div class="ttdeci">#define V</div><div class="ttdoc">1 Volt. unit:</div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00019">constants.hpp:19</a></div></div>
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<div class="ttc" id="atypedefs_8hpp_html_a9f33f4962c8fb62cc5ccd0e4e039a8df"><div class="ttname"><a href="typedefs_8hpp.html#a9f33f4962c8fb62cc5ccd0e4e039a8df">vec_3d</a></div><div class="ttdeci">arma::vec::fixed< 3 > vec_3d</div><div class="ttdoc">Typedef for a fixed 3d arma vector.</div><div class="ttdef"><b>Definition:</b> <a href="typedefs_8hpp_source.html#l00036">typedefs.hpp:36</a></div></div>
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<div class="ttc" id="autils_8hpp_html"><div class="ttname"><a href="utils_8hpp.html">utils.hpp</a></div><div class="ttdoc">Function prototypes and macros that are useful.</div></div>
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<div class="ttc" id="autils_8hpp_html_a6fdd7217b750aff5b6295ece7cbdeffa"><div class="ttname"><a href="utils_8hpp.html#a6fdd7217b750aff5b6295ece7cbdeffa">mkpath</a></div><div class="ttdeci">bool mkpath(std::string path, int mode=0777)</div><div class="ttdoc">Make path given.</div><div class="ttdef"><b>Definition:</b> <a href="utils_8cpp_source.html#l00076">utils.cpp:76</a></div></div>
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<div class="ttc" id="autils_8hpp_html_aecc1f7a8a2493b9e021e5bff76a00a5b"><div class="ttname"><a href="utils_8hpp.html#aecc1f7a8a2493b9e021e5bff76a00a5b">DEBUG</a></div><div class="ttdeci">#define DEBUG(msg)</div><div class="ttdoc">Writes a debug message.</div><div class="ttdef"><b>Definition:</b> <a href="utils_8hpp_source.html#l00036">utils.hpp:36</a></div></div>
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