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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 <complex></span></div>
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<div class="line"><a id="l00015" name="l00015"></a><span class="lineno"> 15</span><span class="preprocessor">#include <fstream></span></div>
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<div class="line"><a id="l00016" name="l00016"></a><span class="lineno"> 16</span><span class="preprocessor">#include <omp.h></span></div>
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<div class="line"><a id="l00017" name="l00017"></a><span class="lineno"> 17</span><span class="preprocessor">#include <string></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="constants_8hpp.html">constants.hpp</a>"</span></div>
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<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</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="l00023" name="l00023"></a><span class="lineno"> 23</span> </div>
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<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span><span class="preprocessor">#define PARTICLES 100</span></div>
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<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span><span class="preprocessor">#define N 40000</span></div>
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<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</span> </div>
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<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span><span class="comment">// Particles used for testing</span></div>
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<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"><a class="line" href="main_8cpp.html#a2efa69bb9d93049429ce4637075f1d30"> 28</a></span><a class="code hl_class" href="classParticle.html">Particle</a> <a class="code hl_variable" href="main_8cpp.html#a2efa69bb9d93049429ce4637075f1d30">p1</a>(<a class="code hl_typedef" href="typedefs_8hpp.html#a3bdfb73a02f88ae32b6128ef747c4aea">vec3</a>{20., 0., 20.}, <a class="code hl_typedef" href="typedefs_8hpp.html#a3bdfb73a02f88ae32b6128ef747c4aea">vec3</a>{0., 25., 0.}); </div>
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<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"><a class="line" href="main_8cpp.html#ac70b61df65f4336f57ea9b4c35250df7"> 29</a></span><a class="code hl_class" href="classParticle.html">Particle</a> <a class="code hl_variable" href="main_8cpp.html#ac70b61df65f4336f57ea9b4c35250df7">p2</a>(<a class="code hl_typedef" href="typedefs_8hpp.html#a3bdfb73a02f88ae32b6128ef747c4aea">vec3</a>{25., 25., 0.}, <a class="code hl_typedef" href="typedefs_8hpp.html#a3bdfb73a02f88ae32b6128ef747c4aea">vec3</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="l00037" name="l00037"></a><span class="lineno"><a class="line" href="main_8cpp.html#a8d92fb2ad085065fbd14718647551657"> 37</a></span><a class="code hl_typedef" href="typedefs_8hpp.html#a3bdfb73a02f88ae32b6128ef747c4aea">vec3</a> <a class="code hl_function" href="main_8cpp.html#a8d92fb2ad085065fbd14718647551657">analytical_solution_particle_1</a>(<span class="keywordtype">double</span> t)</div>
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<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span>{</div>
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<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span> <span class="keywordtype">double</span> w_0 = <a class="code hl_define" href="constants_8hpp.html#a0acb682b8260ab1c60b918599864e2e5">T</a> / <a class="code hl_define" href="constants_8hpp.html#a2ff491cc7958ffd5e749c518a4a60ec8">CA_MASS</a>;</div>
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<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span> <span class="keywordtype">double</span> w_z2 = (50. * <a class="code hl_define" href="constants_8hpp.html#af40a326b23c68a27cebe60f16634a2cb">V</a> / 1000.) / (<a class="code hl_define" href="constants_8hpp.html#a2ff491cc7958ffd5e749c518a4a60ec8">CA_MASS</a> * 500. * 500.);</div>
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<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span> <span class="keywordtype">double</span> w_p = (w_0 + std::sqrt(w_0 * w_0 - 2. * w_z2)) / 2.;</div>
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<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span> <span class="keywordtype">double</span> w_n = (w_0 - std::sqrt(w_0 * w_0 - 2. * w_z2)) / 2.;</div>
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<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span> <span class="keywordtype">double</span> A_p = (25. + w_n * 20.) / (w_n - w_p);</div>
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<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span> <span class="keywordtype">double</span> A_n = -(25. + w_p * 20.) / (w_n - w_p);</div>
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<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span> std::complex<double> f =</div>
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<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span> A_p * std::exp(std::complex<double>(0., -w_p * t))</div>
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<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span> + A_n * std::exp(std::complex<double>(0., -w_n * t));</div>
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<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span> <a class="code hl_typedef" href="typedefs_8hpp.html#a3bdfb73a02f88ae32b6128ef747c4aea">vec3</a> res{std::real(f), std::imag(f), 20. * std::cos(std::sqrt(w_z2) * t)};</div>
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<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span> <span class="keywordflow">return</span> res;</div>
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<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</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="l00054" name="l00054"></a><span class="lineno"><a class="line" href="main_8cpp.html#a8fdbe2d5a872e50ef5ec1263243589d6"> 54</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="main_8cpp.html#a8fdbe2d5a872e50ef5ec1263243589d6">simulate_single_particle</a>()</div>
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<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span>{</div>
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<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> <span class="comment">// Initialize trap with particle 1</span></div>
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<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> <a class="code hl_class" href="classPenningTrap.html">PenningTrap</a> trap(std::vector<Particle>{<a class="code hl_variable" href="main_8cpp.html#a2efa69bb9d93049429ce4637075f1d30">p1</a>});</div>
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<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> </div>
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<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> <span class="keywordtype">double</span> time = 50.; <span class="comment">// microseconds</span></div>
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<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span> </div>
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<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> <span class="comment">// Simulate and write results to file</span></div>
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<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> trap.<a class="code hl_function" href="classPenningTrap.html#ad8bc4df7ab3eed53b16cfdff38e7760b">write_simulation_to_dir</a>(<span class="stringliteral">"output/simulate_single_particle"</span>, time, N,</div>
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<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> <span class="stringliteral">"rk4"</span>, <span class="keyword">false</span>);</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 class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> </div>
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<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"><a class="line" href="main_8cpp.html#a783789519f97c6430081171cacb0ffb1"> 69</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="main_8cpp.html#a783789519f97c6430081171cacb0ffb1">simulate_two_particles</a>()</div>
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<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span>{</div>
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<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span> <span class="comment">// Initialize traps with particles</span></div>
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<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span> <a class="code hl_class" href="classPenningTrap.html">PenningTrap</a> trap_no_interaction(std::vector<Particle>{<a class="code hl_variable" href="main_8cpp.html#a2efa69bb9d93049429ce4637075f1d30">p1</a>, <a class="code hl_variable" href="main_8cpp.html#ac70b61df65f4336f57ea9b4c35250df7">p2</a>});</div>
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<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span> <a class="code hl_class" href="classPenningTrap.html">PenningTrap</a> trap_with_interaction(std::vector<Particle>{<a class="code hl_variable" href="main_8cpp.html#a2efa69bb9d93049429ce4637075f1d30">p1</a>, <a class="code hl_variable" href="main_8cpp.html#ac70b61df65f4336f57ea9b4c35250df7">p2</a>});</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> <span class="keywordtype">double</span> time = 50.; <span class="comment">// microseconds</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="comment">// Simulate and write results to files</span></div>
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<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span> trap_no_interaction.<a class="code hl_function" href="classPenningTrap.html#ad8bc4df7ab3eed53b16cfdff38e7760b">write_simulation_to_dir</a>(</div>
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<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</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="l00080" name="l00080"></a><span class="lineno"> 80</span> trap_with_interaction.write_simulation_to_dir(</div>
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<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span> <span class="stringliteral">"output/simulate_2_particles/with_interaction"</span>, time, N);</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> </div>
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<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"><a class="line" href="main_8cpp.html#ac67e0d59227856c4d42e7d01c75e0ad2"> 87</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="main_8cpp.html#ac67e0d59227856c4d42e7d01c75e0ad2">simulate_single_particle_with_different_steps</a>()</div>
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<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</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> time = 50.; <span class="comment">// microseconds</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> std::ofstream ofile;</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="comment">// Calculate relative error for RK4</span></div>
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<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> std::string path = <span class="stringliteral">"output/relative_error/RK4/"</span>;</div>
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<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> <a class="code hl_function" href="utils_8hpp.html#a6fdd7217b750aff5b6295ece7cbdeffa">mkpath</a>(path);</div>
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<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span><span class="preprocessor">#pragma omp parallel for</span></div>
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<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</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="l00098" name="l00098"></a><span class="lineno"> 98</span> <span class="keywordtype">int</span> steps = 4000 * std::pow(2, i);</div>
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<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span> <span class="keywordtype">double</span> dt = time / (double)steps;</div>
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<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span> ofile.open(path + std::to_string(steps) + <span class="stringliteral">"_steps.txt"</span>);</div>
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<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span> <a class="code hl_class" href="classPenningTrap.html">PenningTrap</a> trap(std::vector<Particle>{<a class="code hl_variable" href="main_8cpp.html#a2efa69bb9d93049429ce4637075f1d30">p1</a>});</div>
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<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span> <a class="code hl_struct" href="structsimulation.html">simulation_t</a> res = trap.simulate(time, steps, <span class="stringliteral">"rk4"</span>, <span class="keyword">false</span>);</div>
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<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < steps; i++) {</div>
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<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span> ofile << arma::norm(res.r_vecs[0][i]</div>
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<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span> - <a class="code hl_function" href="main_8cpp.html#a8d92fb2ad085065fbd14718647551657">analytical_solution_particle_1</a>(dt * i))</div>
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<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span> << <span class="charliteral">'\n'</span>;</div>
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<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span> }</div>
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<div class="line"><a id="l00108" name="l00108"></a><span class="lineno"> 108</span> ofile.close();</div>
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<div class="line"><a id="l00109" name="l00109"></a><span class="lineno"> 109</span> }</div>
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<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"> 110</span> </div>
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<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span> <span class="comment">// Calculate relative error for forward Euler</span></div>
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<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span> path = <span class="stringliteral">"output/relative_error/euler/"</span>;</div>
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<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span> <a class="code hl_function" href="utils_8hpp.html#a6fdd7217b750aff5b6295ece7cbdeffa">mkpath</a>(path);</div>
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<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span><span class="preprocessor">#pragma omp parallel for</span></div>
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<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</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="l00116" name="l00116"></a><span class="lineno"> 116</span> <span class="keywordtype">int</span> steps = 4000 * std::pow(2, i);</div>
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<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span> <span class="keywordtype">double</span> dt = time / (double)steps;</div>
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<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span> ofile.open(path + std::to_string(steps) + <span class="stringliteral">"_steps.txt"</span>);</div>
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<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span> <a class="code hl_class" href="classPenningTrap.html">PenningTrap</a> trap(std::vector<Particle>{<a class="code hl_variable" href="main_8cpp.html#a2efa69bb9d93049429ce4637075f1d30">p1</a>});</div>
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<div class="line"><a id="l00120" name="l00120"></a><span class="lineno"> 120</span> <a class="code hl_struct" href="structsimulation.html">simulation_t</a> res = trap.simulate(time, steps, <span class="stringliteral">"euler"</span>, <span class="keyword">false</span>);</div>
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<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < steps; i++) {</div>
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<div class="line"><a id="l00122" name="l00122"></a><span class="lineno"> 122</span> ofile << arma::norm(res.r_vecs[0][i]</div>
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<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"> 123</span> - <a class="code hl_function" href="main_8cpp.html#a8d92fb2ad085065fbd14718647551657">analytical_solution_particle_1</a>(dt * i))</div>
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<div class="line"><a id="l00124" name="l00124"></a><span class="lineno"> 124</span> << <span class="charliteral">'\n'</span>;</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> ofile.close();</div>
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<div class="line"><a id="l00127" name="l00127"></a><span class="lineno"> 127</span> }</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> </div>
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<div class="line"><a id="l00132" name="l00132"></a><span class="lineno"><a class="line" href="main_8cpp.html#a213713d6ecc02a32b588ffd179dc7513"> 132</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="main_8cpp.html#a213713d6ecc02a32b588ffd179dc7513">simulate_100_particles</a>()</div>
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<div class="line"><a id="l00133" name="l00133"></a><span class="lineno"> 133</span>{</div>
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<div class="line"><a id="l00134" name="l00134"></a><span class="lineno"> 134</span> <a class="code hl_class" href="classPenningTrap.html">PenningTrap</a> trap((<span class="keywordtype">unsigned</span>)100);</div>
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<div class="line"><a id="l00135" name="l00135"></a><span class="lineno"> 135</span> </div>
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<div class="line"><a id="l00136" name="l00136"></a><span class="lineno"> 136</span> <span class="keywordtype">double</span> time = 50.; <span class="comment">// microseconds</span></div>
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<div class="line"><a id="l00137" name="l00137"></a><span class="lineno"> 137</span> </div>
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<div class="line"><a id="l00138" name="l00138"></a><span class="lineno"> 138</span> trap.<a class="code hl_function" href="classPenningTrap.html#ad8bc4df7ab3eed53b16cfdff38e7760b">write_simulation_to_dir</a>(<span class="stringliteral">"output/simulate_100_particles"</span>, time, N,</div>
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<div class="line"><a id="l00139" name="l00139"></a><span class="lineno"> 139</span> <span class="stringliteral">"rk4"</span>, <span class="keyword">false</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> </div>
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<div class="line"><a id="l00149" name="l00149"></a><span class="lineno"><a class="line" href="main_8cpp.html#a6b38b477c18e2f4268779751a88edab1"> 149</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="main_8cpp.html#a6b38b477c18e2f4268779751a88edab1">potential_resonance_wide_sweep</a>()</div>
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<div class="line"><a id="l00150" name="l00150"></a><span class="lineno"> 150</span>{</div>
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<div class="line"><a id="l00151" name="l00151"></a><span class="lineno"> 151</span> <span class="keywordtype">double</span> time = 500.;</div>
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<div class="line"><a id="l00152" name="l00152"></a><span class="lineno"> 152</span> </div>
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<div class="line"><a id="l00153" name="l00153"></a><span class="lineno"> 153</span> <span class="keywordtype">double</span> amplitudes[]{.1, .4, .7};</div>
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<div class="line"><a id="l00154" name="l00154"></a><span class="lineno"> 154</span> </div>
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<div class="line"><a id="l00155" name="l00155"></a><span class="lineno"> 155</span> <span class="keywordtype">double</span> freq_start = .2;</div>
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<div class="line"><a id="l00156" name="l00156"></a><span class="lineno"> 156</span> <span class="keywordtype">double</span> freq_end = 2.5;</div>
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<div class="line"><a id="l00157" name="l00157"></a><span class="lineno"> 157</span> <span class="keywordtype">double</span> freq_increment = .02;</div>
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<div class="line"><a id="l00158" name="l00158"></a><span class="lineno"> 158</span> <span class="keywordtype">size_t</span> freq_iterations =</div>
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<div class="line"><a id="l00159" name="l00159"></a><span class="lineno"> 159</span> (size_t)((freq_end - freq_start) / freq_increment) + 1;</div>
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<div class="line"><a id="l00160" name="l00160"></a><span class="lineno"> 160</span> </div>
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<div class="line"><a id="l00161" name="l00161"></a><span class="lineno"> 161</span> <span class="keywordtype">double</span> res[4][freq_iterations];</div>
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<div class="line"><a id="l00162" name="l00162"></a><span class="lineno"> 162</span> </div>
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<div class="line"><a id="l00163" name="l00163"></a><span class="lineno"> 163</span> std::string path = <span class="stringliteral">"output/time_dependent_potential/"</span>;</div>
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<div class="line"><a id="l00164" name="l00164"></a><span class="lineno"> 164</span> <a class="code hl_function" href="utils_8hpp.html#a6fdd7217b750aff5b6295ece7cbdeffa">mkpath</a>(path);</div>
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<div class="line"><a id="l00165" name="l00165"></a><span class="lineno"> 165</span> </div>
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<div class="line"><a id="l00166" name="l00166"></a><span class="lineno"> 166</span> std::ofstream ofile;</div>
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<div class="line"><a id="l00167" name="l00167"></a><span class="lineno"> 167</span> </div>
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<div class="line"><a id="l00168" name="l00168"></a><span class="lineno"> 168</span><span class="preprocessor">#pragma omp parallel for</span></div>
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<div class="line"><a id="l00169" name="l00169"></a><span class="lineno"> 169</span> <span class="comment">// Insert frequencies</span></div>
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<div class="line"><a id="l00170" name="l00170"></a><span class="lineno"> 170</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="l00171" name="l00171"></a><span class="lineno"> 171</span> res[0][i] = freq_start + freq_increment * i;</div>
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<div class="line"><a id="l00172" name="l00172"></a><span class="lineno"> 172</span> }</div>
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<div class="line"><a id="l00173" name="l00173"></a><span class="lineno"> 173</span> </div>
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<div class="line"><a id="l00174" name="l00174"></a><span class="lineno"> 174</span><span class="preprocessor">#pragma omp parallel</span></div>
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<div class="line"><a id="l00175" name="l00175"></a><span class="lineno"> 175</span> {</div>
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<div class="line"><a id="l00176" name="l00176"></a><span class="lineno"> 176</span> <span class="comment">// Each thread creates a PenningTrap instance and reuses it throughout</span></div>
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<div class="line"><a id="l00177" name="l00177"></a><span class="lineno"> 177</span> <span class="comment">// the sweep.</span></div>
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<div class="line"><a id="l00178" name="l00178"></a><span class="lineno"> 178</span> <a class="code hl_class" href="classPenningTrap.html">PenningTrap</a> trap((uint)100);</div>
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<div class="line"><a id="l00179" name="l00179"></a><span class="lineno"> 179</span><span class="preprocessor">#pragma omp for collapse(2)</span></div>
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<div class="line"><a id="l00180" name="l00180"></a><span class="lineno"> 180</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i < 3; i++) {</div>
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<div class="line"><a id="l00181" name="l00181"></a><span class="lineno"> 181</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> j = 0; j < freq_iterations; j++) {</div>
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<div class="line"><a id="l00182" name="l00182"></a><span class="lineno"> 182</span> <span class="comment">// Reset particles and give new time dependent potential.</span></div>
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<div class="line"><a id="l00183" name="l00183"></a><span class="lineno"> 183</span> trap.<a class="code hl_function" href="classPenningTrap.html#aaee129f177657455348d0c8ae1441dea">reinitialize</a>(amplitudes[i], res[0][j]);</div>
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<div class="line"><a id="l00184" name="l00184"></a><span class="lineno"> 184</span> res[i + 1][j] =</div>
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<div class="line"><a id="l00185" name="l00185"></a><span class="lineno"> 185</span> trap.<a class="code hl_function" href="classPenningTrap.html#ac529aa26c288f34eae184a67e6bac41f">fraction_of_particles_left</a>(time, N, <span class="stringliteral">"rk4"</span>, <span class="keyword">false</span>);</div>
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<div class="line"><a id="l00186" name="l00186"></a><span class="lineno"> 186</span> }</div>
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<div class="line"><a id="l00187" name="l00187"></a><span class="lineno"> 187</span> }</div>
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<div class="line"><a id="l00188" name="l00188"></a><span class="lineno"> 188</span> }</div>
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<div class="line"><a id="l00189" name="l00189"></a><span class="lineno"> 189</span> </div>
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<div class="line"><a id="l00190" name="l00190"></a><span class="lineno"> 190</span> <span class="comment">// Write results to file</span></div>
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<div class="line"><a id="l00191" name="l00191"></a><span class="lineno"> 191</span> ofile.open(path + <span class="stringliteral">"wide_sweep.txt"</span>);</div>
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<div class="line"><a id="l00192" name="l00192"></a><span class="lineno"> 192</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="l00193" name="l00193"></a><span class="lineno"> 193</span> ofile << res[0][i] << <span class="charliteral">','</span> << res[1][i] << <span class="charliteral">','</span> << res[2][i] << <span class="charliteral">','</span></div>
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<div class="line"><a id="l00194" name="l00194"></a><span class="lineno"> 194</span> << res[3][i] << <span class="charliteral">'\n'</span>;</div>
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<div class="line"><a id="l00195" name="l00195"></a><span class="lineno"> 195</span> }</div>
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<div class="line"><a id="l00196" name="l00196"></a><span class="lineno"> 196</span> ofile.close();</div>
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<div class="line"><a id="l00197" name="l00197"></a><span class="lineno"> 197</span>}</div>
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<div class="line"><a id="l00198" name="l00198"></a><span class="lineno"> 198</span> </div>
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<div class="line"><a id="l00206" name="l00206"></a><span class="lineno"><a class="line" href="main_8cpp.html#a33d9b1c76c3c80902f89a58b1a6d96ea"> 206</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="main_8cpp.html#a33d9b1c76c3c80902f89a58b1a6d96ea">potential_resonance_narrow_sweep</a>()</div>
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<div class="line"><a id="l00207" name="l00207"></a><span class="lineno"> 207</span>{</div>
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<div class="line"><a id="l00208" name="l00208"></a><span class="lineno"> 208</span> <span class="keywordtype">double</span> time = 500.;</div>
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<div class="line"><a id="l00209" name="l00209"></a><span class="lineno"> 209</span> </div>
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<div class="line"><a id="l00210" name="l00210"></a><span class="lineno"> 210</span> <span class="keywordtype">double</span> amplitudes[]{.1, .4, .7};</div>
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<div class="line"><a id="l00211" name="l00211"></a><span class="lineno"> 211</span> </div>
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<div class="line"><a id="l00212" name="l00212"></a><span class="lineno"> 212</span> <span class="keywordtype">double</span> freq_start = 1.;</div>
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<div class="line"><a id="l00213" name="l00213"></a><span class="lineno"> 213</span> <span class="keywordtype">double</span> freq_end = 1.7;</div>
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<div class="line"><a id="l00214" name="l00214"></a><span class="lineno"> 214</span> <span class="keywordtype">double</span> freq_increment = .002;</div>
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<div class="line"><a id="l00215" name="l00215"></a><span class="lineno"> 215</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="l00216" name="l00216"></a><span class="lineno"> 216</span> </div>
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<div class="line"><a id="l00217" name="l00217"></a><span class="lineno"> 217</span> <span class="keywordtype">double</span> res[4][freq_iterations];</div>
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<div class="line"><a id="l00218" name="l00218"></a><span class="lineno"> 218</span> </div>
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<div class="line"><a id="l00219" name="l00219"></a><span class="lineno"> 219</span> std::string path = <span class="stringliteral">"output/time_dependent_potential/"</span>;</div>
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<div class="line"><a id="l00220" name="l00220"></a><span class="lineno"> 220</span> <a class="code hl_function" href="utils_8hpp.html#a6fdd7217b750aff5b6295ece7cbdeffa">mkpath</a>(path);</div>
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<div class="line"><a id="l00221" name="l00221"></a><span class="lineno"> 221</span> </div>
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<div class="line"><a id="l00222" name="l00222"></a><span class="lineno"> 222</span> std::ofstream ofile;</div>
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<div class="line"><a id="l00223" name="l00223"></a><span class="lineno"> 223</span> </div>
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<div class="line"><a id="l00224" name="l00224"></a><span class="lineno"> 224</span><span class="preprocessor">#pragma omp parallel for</span></div>
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<div class="line"><a id="l00225" name="l00225"></a><span class="lineno"> 225</span> <span class="comment">// Insert frequencies</span></div>
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<div class="line"><a id="l00226" name="l00226"></a><span class="lineno"> 226</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="l00227" name="l00227"></a><span class="lineno"> 227</span> res[0][i] = freq_start + freq_increment * i;</div>
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<div class="line"><a id="l00228" name="l00228"></a><span class="lineno"> 228</span> }</div>
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<div class="line"><a id="l00229" name="l00229"></a><span class="lineno"> 229</span> </div>
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<div class="line"><a id="l00230" name="l00230"></a><span class="lineno"> 230</span><span class="preprocessor">#pragma omp parallel</span></div>
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<div class="line"><a id="l00231" name="l00231"></a><span class="lineno"> 231</span> {</div>
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<div class="line"><a id="l00232" name="l00232"></a><span class="lineno"> 232</span> <span class="comment">// Each thread creates a PenningTrap instance and reuses it throughout</span></div>
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<div class="line"><a id="l00233" name="l00233"></a><span class="lineno"> 233</span> <span class="comment">// the sweep.</span></div>
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<div class="line"><a id="l00234" name="l00234"></a><span class="lineno"> 234</span> <a class="code hl_class" href="classPenningTrap.html">PenningTrap</a> trap((uint)100);</div>
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<div class="line"><a id="l00235" name="l00235"></a><span class="lineno"> 235</span><span class="preprocessor">#pragma omp for collapse(2)</span></div>
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<div class="line"><a id="l00236" name="l00236"></a><span class="lineno"> 236</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i < 3; i++) {</div>
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<div class="line"><a id="l00237" name="l00237"></a><span class="lineno"> 237</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> j = 0; j < freq_iterations; j++) {</div>
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<div class="line"><a id="l00238" name="l00238"></a><span class="lineno"> 238</span> <span class="comment">// Reset particles and give new time dependent potential.</span></div>
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<div class="line"><a id="l00239" name="l00239"></a><span class="lineno"> 239</span> trap.<a class="code hl_function" href="classPenningTrap.html#aaee129f177657455348d0c8ae1441dea">reinitialize</a>(amplitudes[i], res[0][j]);</div>
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<div class="line"><a id="l00240" name="l00240"></a><span class="lineno"> 240</span> res[i + 1][j] =</div>
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<div class="line"><a id="l00241" name="l00241"></a><span class="lineno"> 241</span> trap.<a class="code hl_function" href="classPenningTrap.html#ac529aa26c288f34eae184a67e6bac41f">fraction_of_particles_left</a>(time, N, <span class="stringliteral">"rk4"</span>, <span class="keyword">false</span>);</div>
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<div class="line"><a id="l00242" name="l00242"></a><span class="lineno"> 242</span> }</div>
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<div class="line"><a id="l00243" name="l00243"></a><span class="lineno"> 243</span> }</div>
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<div class="line"><a id="l00244" name="l00244"></a><span class="lineno"> 244</span> }</div>
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<div class="line"><a id="l00245" name="l00245"></a><span class="lineno"> 245</span> </div>
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<div class="line"><a id="l00246" name="l00246"></a><span class="lineno"> 246</span> <span class="comment">// Write results to file</span></div>
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<div class="line"><a id="l00247" name="l00247"></a><span class="lineno"> 247</span> ofile.open(path + <span class="stringliteral">"narrow_sweep.txt"</span>);</div>
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<div class="line"><a id="l00248" name="l00248"></a><span class="lineno"> 248</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="l00249" name="l00249"></a><span class="lineno"> 249</span> ofile << res[0][i] << <span class="charliteral">','</span> << res[1][i] << <span class="charliteral">','</span> << res[2][i] << <span class="charliteral">','</span></div>
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<div class="line"><a id="l00250" name="l00250"></a><span class="lineno"> 250</span> << res[3][i] << <span class="charliteral">'\n'</span>;</div>
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<div class="line"><a id="l00251" name="l00251"></a><span class="lineno"> 251</span> }</div>
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<div class="line"><a id="l00252" name="l00252"></a><span class="lineno"> 252</span> ofile.close();</div>
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<div class="line"><a id="l00253" name="l00253"></a><span class="lineno"> 253</span>}</div>
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<div class="line"><a id="l00254" name="l00254"></a><span class="lineno"> 254</span> </div>
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<div class="line"><a id="l00262" name="l00262"></a><span class="lineno"><a class="line" href="main_8cpp.html#ac1816f70ec612edc27848ef7f0875fdb"> 262</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="main_8cpp.html#ac1816f70ec612edc27848ef7f0875fdb">potential_resonance_narrow_sweep_interaction</a>()</div>
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<div class="line"><a id="l00263" name="l00263"></a><span class="lineno"> 263</span>{</div>
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<div class="line"><a id="l00264" name="l00264"></a><span class="lineno"> 264</span> <span class="keywordtype">double</span> time = 500.;</div>
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<div class="line"><a id="l00265" name="l00265"></a><span class="lineno"> 265</span> </div>
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<div class="line"><a id="l00266" name="l00266"></a><span class="lineno"> 266</span> <span class="keywordtype">double</span> amplitudes[]{.1, .4, .7};</div>
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<div class="line"><a id="l00267" name="l00267"></a><span class="lineno"> 267</span> </div>
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<div class="line"><a id="l00268" name="l00268"></a><span class="lineno"> 268</span> <span class="keywordtype">double</span> freq_start = 1.;</div>
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<div class="line"><a id="l00269" name="l00269"></a><span class="lineno"> 269</span> <span class="keywordtype">double</span> freq_end = 1.7;</div>
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<div class="line"><a id="l00270" name="l00270"></a><span class="lineno"> 270</span> <span class="keywordtype">double</span> freq_increment = .002;</div>
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<div class="line"><a id="l00271" name="l00271"></a><span class="lineno"> 271</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="l00272" name="l00272"></a><span class="lineno"> 272</span> </div>
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<div class="line"><a id="l00273" name="l00273"></a><span class="lineno"> 273</span> <span class="keywordtype">double</span> res[4][freq_iterations];</div>
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<div class="line"><a id="l00274" name="l00274"></a><span class="lineno"> 274</span> </div>
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<div class="line"><a id="l00275" name="l00275"></a><span class="lineno"> 275</span> std::string path = <span class="stringliteral">"output/time_dependent_potential/"</span>;</div>
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<div class="line"><a id="l00276" name="l00276"></a><span class="lineno"> 276</span> <a class="code hl_function" href="utils_8hpp.html#a6fdd7217b750aff5b6295ece7cbdeffa">mkpath</a>(path);</div>
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<div class="line"><a id="l00277" name="l00277"></a><span class="lineno"> 277</span> </div>
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<div class="line"><a id="l00278" name="l00278"></a><span class="lineno"> 278</span> std::ofstream ofile;</div>
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<div class="line"><a id="l00279" name="l00279"></a><span class="lineno"> 279</span> </div>
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<div class="line"><a id="l00280" name="l00280"></a><span class="lineno"> 280</span><span class="preprocessor">#pragma omp parallel for</span></div>
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<div class="line"><a id="l00281" name="l00281"></a><span class="lineno"> 281</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="l00282" name="l00282"></a><span class="lineno"> 282</span> res[0][i] = freq_start + freq_increment * i;</div>
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<div class="line"><a id="l00283" name="l00283"></a><span class="lineno"> 283</span> }</div>
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<div class="line"><a id="l00284" name="l00284"></a><span class="lineno"> 284</span> </div>
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<div class="line"><a id="l00285" name="l00285"></a><span class="lineno"> 285</span><span class="preprocessor">#pragma omp parallel</span></div>
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<div class="line"><a id="l00286" name="l00286"></a><span class="lineno"> 286</span> {</div>
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<div class="line"><a id="l00287" name="l00287"></a><span class="lineno"> 287</span> <span class="comment">// Each thread creates a PenningTrap instance and reuses it throughout</span></div>
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<div class="line"><a id="l00288" name="l00288"></a><span class="lineno"> 288</span> <span class="comment">// the sweep.</span></div>
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<div class="line"><a id="l00289" name="l00289"></a><span class="lineno"> 289</span> <a class="code hl_class" href="classPenningTrap.html">PenningTrap</a> trap((uint)100);</div>
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<div class="line"><a id="l00290" name="l00290"></a><span class="lineno"> 290</span><span class="preprocessor">#pragma omp for collapse(2)</span></div>
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<div class="line"><a id="l00291" name="l00291"></a><span class="lineno"> 291</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i < 3; i++) {</div>
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<div class="line"><a id="l00292" name="l00292"></a><span class="lineno"> 292</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> j = 0; j < freq_iterations; j++) {</div>
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<div class="line"><a id="l00293" name="l00293"></a><span class="lineno"> 293</span> <span class="comment">// Reset particles and give new time dependent potential.</span></div>
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<div class="line"><a id="l00294" name="l00294"></a><span class="lineno"> 294</span> trap.<a class="code hl_function" href="classPenningTrap.html#aaee129f177657455348d0c8ae1441dea">reinitialize</a>(amplitudes[i], res[0][j]);</div>
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<div class="line"><a id="l00295" name="l00295"></a><span class="lineno"> 295</span> res[i + 1][j] = trap.<a class="code hl_function" href="classPenningTrap.html#ac529aa26c288f34eae184a67e6bac41f">fraction_of_particles_left</a>(time, N);</div>
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<div class="line"><a id="l00296" name="l00296"></a><span class="lineno"> 296</span> }</div>
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<div class="line"><a id="l00297" name="l00297"></a><span class="lineno"> 297</span> }</div>
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<div class="line"><a id="l00298" name="l00298"></a><span class="lineno"> 298</span> }</div>
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<div class="line"><a id="l00299" name="l00299"></a><span class="lineno"> 299</span> </div>
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<div class="line"><a id="l00300" name="l00300"></a><span class="lineno"> 300</span> <span class="comment">// Write results to file</span></div>
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<div class="line"><a id="l00301" name="l00301"></a><span class="lineno"> 301</span> ofile.open(path + <span class="stringliteral">"narrow_sweep_interactions.txt"</span>);</div>
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<div class="line"><a id="l00302" name="l00302"></a><span class="lineno"> 302</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="l00303" name="l00303"></a><span class="lineno"> 303</span> ofile << res[0][i] << <span class="charliteral">','</span> << res[1][i] << <span class="charliteral">','</span> << res[2][i] << <span class="charliteral">','</span></div>
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<div class="line"><a id="l00304" name="l00304"></a><span class="lineno"> 304</span> << res[3][i] << <span class="charliteral">'\n'</span>;</div>
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<div class="line"><a id="l00305" name="l00305"></a><span class="lineno"> 305</span> }</div>
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<div class="line"><a id="l00306" name="l00306"></a><span class="lineno"> 306</span> ofile.close();</div>
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<div class="line"><a id="l00307" name="l00307"></a><span class="lineno"> 307</span>}</div>
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<div class="line"><a id="l00308" name="l00308"></a><span class="lineno"> 308</span> </div>
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<div class="line"><a id="l00309" name="l00309"></a><span class="lineno"> 309</span><span class="keywordtype">int</span> main()</div>
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<div class="line"><a id="l00310" name="l00310"></a><span class="lineno"> 310</span>{</div>
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<div class="line"><a id="l00311" name="l00311"></a><span class="lineno"> 311</span> <span class="keywordtype">double</span> start, end, t1, t2;</div>
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<div class="line"><a id="l00312" name="l00312"></a><span class="lineno"> 312</span> start = omp_get_wtime();</div>
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<div class="line"><a id="l00313" name="l00313"></a><span class="lineno"> 313</span> </div>
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<div class="line"><a id="l00314" name="l00314"></a><span class="lineno"> 314</span> <a class="code hl_function" href="main_8cpp.html#a8fdbe2d5a872e50ef5ec1263243589d6">simulate_single_particle</a>();</div>
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<div class="line"><a id="l00315" name="l00315"></a><span class="lineno"> 315</span> </div>
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<div class="line"><a id="l00316" name="l00316"></a><span class="lineno"> 316</span> <a class="code hl_function" href="main_8cpp.html#a783789519f97c6430081171cacb0ffb1">simulate_two_particles</a>();</div>
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<div class="line"><a id="l00317" name="l00317"></a><span class="lineno"> 317</span> </div>
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<div class="line"><a id="l00318" name="l00318"></a><span class="lineno"> 318</span> <a class="code hl_function" href="main_8cpp.html#ac67e0d59227856c4d42e7d01c75e0ad2">simulate_single_particle_with_different_steps</a>();</div>
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<div class="line"><a id="l00319" name="l00319"></a><span class="lineno"> 319</span> </div>
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<div class="line"><a id="l00320" name="l00320"></a><span class="lineno"> 320</span> t2 = omp_get_wtime();</div>
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<div class="line"><a id="l00321" name="l00321"></a><span class="lineno"> 321</span> </div>
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<div class="line"><a id="l00322" name="l00322"></a><span class="lineno"> 322</span> std::cout << <span class="stringliteral">"Time single and double : "</span> << (t2 - start)</div>
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<div class="line"><a id="l00323" name="l00323"></a><span class="lineno"> 323</span> << <span class="stringliteral">" seconds"</span> << std::endl;</div>
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<div class="line"><a id="l00324" name="l00324"></a><span class="lineno"> 324</span> </div>
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<div class="line"><a id="l00325" name="l00325"></a><span class="lineno"> 325</span> t1 = omp_get_wtime();</div>
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<div class="line"><a id="l00326" name="l00326"></a><span class="lineno"> 326</span> </div>
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<div class="line"><a id="l00327" name="l00327"></a><span class="lineno"> 327</span> <a class="code hl_function" href="main_8cpp.html#a213713d6ecc02a32b588ffd179dc7513">simulate_100_particles</a>();</div>
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<div class="line"><a id="l00328" name="l00328"></a><span class="lineno"> 328</span> </div>
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<div class="line"><a id="l00329" name="l00329"></a><span class="lineno"> 329</span> t2 = omp_get_wtime();</div>
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<div class="line"><a id="l00330" name="l00330"></a><span class="lineno"> 330</span> </div>
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<div class="line"><a id="l00331" name="l00331"></a><span class="lineno"> 331</span> std::cout << <span class="stringliteral">"Time 100 particles : "</span> << (t2 - t1)</div>
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<div class="line"><a id="l00332" name="l00332"></a><span class="lineno"> 332</span> << <span class="stringliteral">" seconds"</span> << std::endl;</div>
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<div class="line"><a id="l00333" name="l00333"></a><span class="lineno"> 333</span> </div>
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<div class="line"><a id="l00334" name="l00334"></a><span class="lineno"> 334</span> t1 = omp_get_wtime();</div>
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<div class="line"><a id="l00335" name="l00335"></a><span class="lineno"> 335</span> </div>
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<div class="line"><a id="l00336" name="l00336"></a><span class="lineno"> 336</span> <a class="code hl_function" href="main_8cpp.html#a6b38b477c18e2f4268779751a88edab1">potential_resonance_wide_sweep</a>();</div>
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<div class="line"><a id="l00337" name="l00337"></a><span class="lineno"> 337</span> </div>
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<div class="line"><a id="l00338" name="l00338"></a><span class="lineno"> 338</span> t2 = omp_get_wtime();</div>
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<div class="line"><a id="l00339" name="l00339"></a><span class="lineno"> 339</span> </div>
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<div class="line"><a id="l00340" name="l00340"></a><span class="lineno"> 340</span> std::cout << <span class="stringliteral">"Time wide sweep : "</span> << (t2 - t1)</div>
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<div class="line"><a id="l00341" name="l00341"></a><span class="lineno"> 341</span> << <span class="stringliteral">" seconds"</span> << std::endl;</div>
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<div class="line"><a id="l00342" name="l00342"></a><span class="lineno"> 342</span> </div>
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<div class="line"><a id="l00343" name="l00343"></a><span class="lineno"> 343</span> t1 = omp_get_wtime();</div>
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<div class="line"><a id="l00344" name="l00344"></a><span class="lineno"> 344</span> </div>
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<div class="line"><a id="l00345" name="l00345"></a><span class="lineno"> 345</span> <a class="code hl_function" href="main_8cpp.html#a33d9b1c76c3c80902f89a58b1a6d96ea">potential_resonance_narrow_sweep</a>();</div>
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<div class="line"><a id="l00346" name="l00346"></a><span class="lineno"> 346</span> </div>
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<div class="line"><a id="l00347" name="l00347"></a><span class="lineno"> 347</span> t2 = omp_get_wtime();</div>
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<div class="line"><a id="l00348" name="l00348"></a><span class="lineno"> 348</span> </div>
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<div class="line"><a id="l00349" name="l00349"></a><span class="lineno"> 349</span> std::cout << <span class="stringliteral">"Time narrow sweep no interaction : "</span> << (t2 - t1)</div>
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<div class="line"><a id="l00350" name="l00350"></a><span class="lineno"> 350</span> << <span class="stringliteral">" seconds"</span> << std::endl;</div>
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<div class="line"><a id="l00351" name="l00351"></a><span class="lineno"> 351</span> </div>
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<div class="line"><a id="l00352" name="l00352"></a><span class="lineno"> 352</span> t1 = omp_get_wtime();</div>
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<div class="line"><a id="l00353" name="l00353"></a><span class="lineno"> 353</span> </div>
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<div class="line"><a id="l00354" name="l00354"></a><span class="lineno"> 354</span> <a class="code hl_function" href="main_8cpp.html#ac1816f70ec612edc27848ef7f0875fdb">potential_resonance_narrow_sweep_interaction</a>();</div>
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<div class="line"><a id="l00355" name="l00355"></a><span class="lineno"> 355</span> </div>
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<div class="line"><a id="l00356" name="l00356"></a><span class="lineno"> 356</span> t2 = omp_get_wtime();</div>
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<div class="line"><a id="l00357" name="l00357"></a><span class="lineno"> 357</span> </div>
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<div class="line"><a id="l00358" name="l00358"></a><span class="lineno"> 358</span> std::cout << <span class="stringliteral">"Time narrow sweep with interaction: "</span> << (t2 - t1)</div>
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<div class="line"><a id="l00359" name="l00359"></a><span class="lineno"> 359</span> << <span class="stringliteral">" seconds"</span> << std::endl;</div>
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<div class="line"><a id="l00360" name="l00360"></a><span class="lineno"> 360</span> </div>
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<div class="line"><a id="l00361" name="l00361"></a><span class="lineno"> 361</span> end = omp_get_wtime();</div>
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<div class="line"><a id="l00362" name="l00362"></a><span class="lineno"> 362</span> </div>
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<div class="line"><a id="l00363" name="l00363"></a><span class="lineno"> 363</span> std::cout << <span class="stringliteral">"Time : "</span> << (end - start)</div>
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<div class="line"><a id="l00364" name="l00364"></a><span class="lineno"> 364</span> << <span class="stringliteral">" seconds"</span> << std::endl;</div>
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<div class="line"><a id="l00365" name="l00365"></a><span class="lineno"> 365</span> </div>
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<div class="line"><a id="l00366" name="l00366"></a><span class="lineno"> 366</span> <span class="keywordflow">return</span> 0;</div>
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<div class="line"><a id="l00367" name="l00367"></a><span class="lineno"> 367</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#l00022">Particle.hpp:23</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#l00031">PenningTrap.hpp:32</a></div></div>
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<div class="ttc" id="aclassPenningTrap_html_aaee129f177657455348d0c8ae1441dea"><div class="ttname"><a href="classPenningTrap.html#aaee129f177657455348d0c8ae1441dea">PenningTrap::reinitialize</a></div><div class="ttdeci">void reinitialize(double f, double omega_V, double t=0.)</div><div class="ttdoc">Give all particles new positions and velocities, and change t and V_0.</div><div class="ttdef"><b>Definition:</b> <a href="PenningTrap_8cpp_source.html#l00053">PenningTrap.cpp:53</a></div></div>
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<div class="ttc" id="aclassPenningTrap_html_ac529aa26c288f34eae184a67e6bac41f"><div class="ttname"><a href="classPenningTrap.html#ac529aa26c288f34eae184a67e6bac41f">PenningTrap::fraction_of_particles_left</a></div><div class="ttdeci">double fraction_of_particles_left(double time, uint 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#l00297">PenningTrap.cpp:297</a></div></div>
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<div class="ttc" id="aclassPenningTrap_html_ad8bc4df7ab3eed53b16cfdff38e7760b"><div class="ttname"><a href="classPenningTrap.html#ad8bc4df7ab3eed53b16cfdff38e7760b">PenningTrap::write_simulation_to_dir</a></div><div class="ttdeci">void write_simulation_to_dir(std::string path, double time, uint 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#l00259">PenningTrap.cpp:259</a></div></div>
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<div class="ttc" id="aconstants_8hpp_html"><div class="ttname"><a href="constants_8hpp.html">constants.hpp</a></div><div class="ttdoc">Library of constants.</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#l00021">constants.hpp:21</a></div></div>
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<div class="ttc" id="aconstants_8hpp_html_a2ff491cc7958ffd5e749c518a4a60ec8"><div class="ttname"><a href="constants_8hpp.html#a2ff491cc7958ffd5e749c518a4a60ec8">CA_MASS</a></div><div class="ttdeci">#define CA_MASS</div><div class="ttdoc">Mass of a single calcium ion. unit: amu.</div><div class="ttdef"><b>Definition:</b> <a href="constants_8hpp_source.html#l00029">constants.hpp:29</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#l00025">constants.hpp:25</a></div></div>
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<div class="ttc" id="amain_8cpp_html_a213713d6ecc02a32b588ffd179dc7513"><div class="ttname"><a href="main_8cpp.html#a213713d6ecc02a32b588ffd179dc7513">simulate_100_particles</a></div><div class="ttdeci">void simulate_100_particles()</div><div class="ttdoc">Simulate 100 particles over 50 .</div><div class="ttdef"><b>Definition:</b> <a href="main_8cpp_source.html#l00132">main.cpp:132</a></div></div>
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<div class="ttc" id="amain_8cpp_html_a2efa69bb9d93049429ce4637075f1d30"><div class="ttname"><a href="main_8cpp.html#a2efa69bb9d93049429ce4637075f1d30">p1</a></div><div class="ttdeci">Particle p1(vec3{20., 0., 20.}, vec3{0., 25., 0.})</div><div class="ttdoc">Particle 1.</div></div>
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<div class="ttc" id="amain_8cpp_html_a33d9b1c76c3c80902f89a58b1a6d96ea"><div class="ttname"><a href="main_8cpp.html#a33d9b1c76c3c80902f89a58b1a6d96ea">potential_resonance_narrow_sweep</a></div><div class="ttdeci">void potential_resonance_narrow_sweep()</div><div class="ttdoc">Simulate 100 particles over 500 using a time dependent potential.</div><div class="ttdef"><b>Definition:</b> <a href="main_8cpp_source.html#l00206">main.cpp:206</a></div></div>
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<div class="ttc" id="amain_8cpp_html_a6b38b477c18e2f4268779751a88edab1"><div class="ttname"><a href="main_8cpp.html#a6b38b477c18e2f4268779751a88edab1">potential_resonance_wide_sweep</a></div><div class="ttdeci">void potential_resonance_wide_sweep()</div><div class="ttdoc">Simulate 100 particles over 500 using a time dependent potential.</div><div class="ttdef"><b>Definition:</b> <a href="main_8cpp_source.html#l00149">main.cpp:149</a></div></div>
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<div class="ttc" id="amain_8cpp_html_a783789519f97c6430081171cacb0ffb1"><div class="ttname"><a href="main_8cpp.html#a783789519f97c6430081171cacb0ffb1">simulate_two_particles</a></div><div class="ttdeci">void simulate_two_particles()</div><div class="ttdoc">Simulate 2 particles over the period of 50 with and without particle interactions.</div><div class="ttdef"><b>Definition:</b> <a href="main_8cpp_source.html#l00069">main.cpp:69</a></div></div>
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<div class="ttc" id="amain_8cpp_html_a8d92fb2ad085065fbd14718647551657"><div class="ttname"><a href="main_8cpp.html#a8d92fb2ad085065fbd14718647551657">analytical_solution_particle_1</a></div><div class="ttdeci">vec3 analytical_solution_particle_1(double t)</div><div class="ttdoc">The analytical solution for particle p1.</div><div class="ttdef"><b>Definition:</b> <a href="main_8cpp_source.html#l00037">main.cpp:37</a></div></div>
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<div class="ttc" id="amain_8cpp_html_a8fdbe2d5a872e50ef5ec1263243589d6"><div class="ttname"><a href="main_8cpp.html#a8fdbe2d5a872e50ef5ec1263243589d6">simulate_single_particle</a></div><div class="ttdeci">void simulate_single_particle()</div><div class="ttdoc">Simulate a single particle over the period of 50 .</div><div class="ttdef"><b>Definition:</b> <a href="main_8cpp_source.html#l00054">main.cpp:54</a></div></div>
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<div class="ttc" id="amain_8cpp_html_ac1816f70ec612edc27848ef7f0875fdb"><div class="ttname"><a href="main_8cpp.html#ac1816f70ec612edc27848ef7f0875fdb">potential_resonance_narrow_sweep_interaction</a></div><div class="ttdeci">void potential_resonance_narrow_sweep_interaction()</div><div class="ttdoc">Simulate 100 particles over 500 using a time dependent potential.</div><div class="ttdef"><b>Definition:</b> <a href="main_8cpp_source.html#l00262">main.cpp:262</a></div></div>
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<div class="ttc" id="amain_8cpp_html_ac67e0d59227856c4d42e7d01c75e0ad2"><div class="ttname"><a href="main_8cpp.html#ac67e0d59227856c4d42e7d01c75e0ad2">simulate_single_particle_with_different_steps</a></div><div class="ttdeci">void simulate_single_particle_with_different_steps()</div><div class="ttdoc">Simulate a single particle over 50 using different amount of steps and different methods.</div><div class="ttdef"><b>Definition:</b> <a href="main_8cpp_source.html#l00087">main.cpp:87</a></div></div>
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<div class="ttc" id="amain_8cpp_html_ac70b61df65f4336f57ea9b4c35250df7"><div class="ttname"><a href="main_8cpp.html#ac70b61df65f4336f57ea9b4c35250df7">p2</a></div><div class="ttdeci">Particle p2(vec3{25., 25., 0.}, vec3{0., 40., 5.})</div><div class="ttdoc">Particle 2.</div></div>
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<div class="ttc" id="astructsimulation_html"><div class="ttname"><a href="structsimulation.html">simulation</a></div><div class="ttdoc">Typedef for PenningTrap::simulation return value.</div><div class="ttdef"><b>Definition:</b> <a href="typedefs_8hpp_source.html#l00040">typedefs.hpp:40</a></div></div>
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<div class="ttc" id="atypedefs_8hpp_html_a3bdfb73a02f88ae32b6128ef747c4aea"><div class="ttname"><a href="typedefs_8hpp.html#a3bdfb73a02f88ae32b6128ef747c4aea">vec3</a></div><div class="ttdeci">arma::vec::fixed< 3 > vec3</div><div class="ttdoc">Typedef for a fixed 3d arma vector.</div><div class="ttdef"><b>Definition:</b> <a href="typedefs_8hpp_source.html#l00023">typedefs.hpp:23</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#l00072">utils.cpp:72</a></div></div>
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