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<div id="projectbrief">Simulate the change in energy and magnetization in a ferro magnet</div>
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<a href="IsingModel_8cpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno"> 1</span> </div>
<div class="line"><a id="l00012" name="l00012"></a><span class="lineno"> 12</span><span class="preprocessor">#include &quot;<a class="code" href="IsingModel_8hpp.html">IsingModel.hpp</a>&quot;</span></div>
<div class="line"><a id="l00013" name="l00013"></a><span class="lineno"> 13</span> </div>
<div class="line"><a id="l00014" name="l00014"></a><span class="lineno"><a class="line" href="classIsingModel.html#acf281f6f5ed02911ca6ab07004449864"> 14</a></span><a class="code hl_function" href="classIsingModel.html#acf281f6f5ed02911ca6ab07004449864">IsingModel::IsingModel</a>()</div>
<div class="line"><a id="l00015" name="l00015"></a><span class="lineno"> 15</span>{</div>
<div class="line"><a id="l00016" name="l00016"></a><span class="lineno"> 16</span> this-&gt;<a class="code hl_function" href="classIsingModel.html#aaedc25b7284e04849269f31291590bf5">initialize_engine</a>();</div>
<div class="line"><a id="l00017" name="l00017"></a><span class="lineno"> 17</span>}</div>
<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span> </div>
<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"><a class="line" href="classIsingModel.html#a4a39ee7fbfbbf566f75bc28900ca9ea5"> 19</a></span><a class="code hl_function" href="classIsingModel.html#acf281f6f5ed02911ca6ab07004449864">IsingModel::IsingModel</a>(<span class="keywordtype">int</span> L, <span class="keywordtype">double</span> T)</div>
<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span>{</div>
<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span> this-&gt;L = <a class="code hl_variable" href="classIsingModel.html#a2b8ac43baefeb386186266d5aa4de348">L</a>;</div>
<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span> this-&gt;T = <a class="code hl_variable" href="classIsingModel.html#a20fc4c0c99d8a119f70a1614784d4e5c">T</a>;</div>
<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span> this-&gt;<a class="code hl_function" href="classIsingModel.html#aaedc25b7284e04849269f31291590bf5">initialize_engine</a>();</div>
<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span> this-&gt;<a class="code hl_function" href="classIsingModel.html#a34a4710949b4a70f3e37ca223aefcf8a">initialize_lattice</a>();</div>
<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span> this-&gt;<a class="code hl_function" href="classIsingModel.html#a6776109105051597c275670dabd0054a">initialize_neighbors</a>();</div>
<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</span> this-&gt;<a class="code hl_function" href="classIsingModel.html#aff9a1201933fd5408845a1447e4895b4">initialize_energy_diff</a>();</div>
<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span> this-&gt;<a class="code hl_function" href="classIsingModel.html#a926cf4964d190d2ce23e5a17201787a4">initialize_magnetization</a>();</div>
<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span> this-&gt;<a class="code hl_function" href="classIsingModel.html#a59fced38c695e2fa647f53be81b9d2a1">initialize_energy</a>();</div>
<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span>}</div>
<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span> </div>
<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"><a class="line" href="classIsingModel.html#a46c9446e94854452f715d307c77c1c15"> 31</a></span><a class="code hl_function" href="classIsingModel.html#acf281f6f5ed02911ca6ab07004449864">IsingModel::IsingModel</a>(<span class="keywordtype">int</span> L, <span class="keywordtype">double</span> T, <span class="keywordtype">int</span> val)</div>
<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span>{</div>
<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span> this-&gt;L = <a class="code hl_variable" href="classIsingModel.html#a2b8ac43baefeb386186266d5aa4de348">L</a>;</div>
<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span> this-&gt;T = <a class="code hl_variable" href="classIsingModel.html#a20fc4c0c99d8a119f70a1614784d4e5c">T</a>;</div>
<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span> this-&gt;<a class="code hl_function" href="classIsingModel.html#aaedc25b7284e04849269f31291590bf5">initialize_engine</a>();</div>
<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span> this-&gt;<a class="code hl_function" href="classIsingModel.html#a34a4710949b4a70f3e37ca223aefcf8a">initialize_lattice</a>(val);</div>
<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span> this-&gt;<a class="code hl_function" href="classIsingModel.html#a6776109105051597c275670dabd0054a">initialize_neighbors</a>();</div>
<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span> this-&gt;<a class="code hl_function" href="classIsingModel.html#aff9a1201933fd5408845a1447e4895b4">initialize_energy_diff</a>();</div>
<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span> this-&gt;<a class="code hl_function" href="classIsingModel.html#a926cf4964d190d2ce23e5a17201787a4">initialize_magnetization</a>();</div>
<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span> this-&gt;<a class="code hl_function" href="classIsingModel.html#a59fced38c695e2fa647f53be81b9d2a1">initialize_energy</a>();</div>
<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span>}</div>
<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span> </div>
<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"><a class="line" href="classIsingModel.html#aaedc25b7284e04849269f31291590bf5"> 43</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="classIsingModel.html#aaedc25b7284e04849269f31291590bf5">IsingModel::initialize_engine</a>()</div>
<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span>{</div>
<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span> std::random_device rd{};</div>
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span> this-&gt;<a class="code hl_variable" href="classIsingModel.html#a1bbe0cb10abee98058e7b45b22b9cd0a">engine</a> = std::mt19937{rd()};</div>
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span>}</div>
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span> </div>
<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"><a class="line" href="classIsingModel.html#a34a4710949b4a70f3e37ca223aefcf8a"> 49</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="classIsingModel.html#a34a4710949b4a70f3e37ca223aefcf8a">IsingModel::initialize_lattice</a>()</div>
<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span>{</div>
<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span> this-&gt;<a class="code hl_variable" href="classIsingModel.html#a2c3c76c79717c968d7c227c58b46df41">lattice</a>.set_size(this-&gt;<a class="code hl_variable" href="classIsingModel.html#a2b8ac43baefeb386186266d5aa4de348">L</a>, this-&gt;<a class="code hl_variable" href="classIsingModel.html#a2b8ac43baefeb386186266d5aa4de348">L</a>);</div>
<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span> </div>
<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span> std::uniform_int_distribution&lt;&gt; coin_flip(0, 1);</div>
<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span> </div>
<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; this-&gt;<a class="code hl_variable" href="classIsingModel.html#a2c3c76c79717c968d7c227c58b46df41">lattice</a>.n_elem; i++)</div>
<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> this-&gt;<a class="code hl_variable" href="classIsingModel.html#a2c3c76c79717c968d7c227c58b46df41">lattice</a>(i) = 2 * coin_flip(this-&gt;<a class="code hl_variable" href="classIsingModel.html#a1bbe0cb10abee98058e7b45b22b9cd0a">engine</a>) - 1;</div>
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span>}</div>
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> </div>
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"><a class="line" href="classIsingModel.html#acc86effd6889bea199a3d70a9f38dc78"> 59</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="classIsingModel.html#a34a4710949b4a70f3e37ca223aefcf8a">IsingModel::initialize_lattice</a>(<span class="keywordtype">int</span> val)</div>
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span>{</div>
<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> <span class="comment">// If val is neither 1 or -1, then initialize random values.</span></div>
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> <span class="keywordflow">if</span> (val != 1 &amp;&amp; val != -1) {</div>
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> this-&gt;<a class="code hl_function" href="classIsingModel.html#a34a4710949b4a70f3e37ca223aefcf8a">initialize_lattice</a>();</div>
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> }</div>
<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> this-&gt;<a class="code hl_variable" href="classIsingModel.html#a2c3c76c79717c968d7c227c58b46df41">lattice</a>.set_size(this-&gt;<a class="code hl_variable" href="classIsingModel.html#a2b8ac43baefeb386186266d5aa4de348">L</a>, this-&gt;<a class="code hl_variable" href="classIsingModel.html#a2b8ac43baefeb386186266d5aa4de348">L</a>);</div>
<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span> this-&gt;<a class="code hl_variable" href="classIsingModel.html#a2c3c76c79717c968d7c227c58b46df41">lattice</a>.fill(val);</div>
<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span>}</div>
<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span> </div>
<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"><a class="line" href="classIsingModel.html#a6776109105051597c275670dabd0054a"> 70</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="classIsingModel.html#a6776109105051597c275670dabd0054a">IsingModel::initialize_neighbors</a>()</div>
<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span>{</div>
<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span> this-&gt;<a class="code hl_variable" href="classIsingModel.html#a94093aaf30facca62737f2ac381fdbcd">neighbors</a>.set_size(this-&gt;<a class="code hl_variable" href="classIsingModel.html#a2b8ac43baefeb386186266d5aa4de348">L</a>, 2);</div>
<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span> </div>
<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span> <span class="comment">// Having i as a signed integer is necessary in this case.</span></div>
<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; (int)this-&gt;<a class="code hl_variable" href="classIsingModel.html#a2b8ac43baefeb386186266d5aa4de348">L</a>; i++) {</div>
<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> this-&gt;<a class="code hl_variable" href="classIsingModel.html#a94093aaf30facca62737f2ac381fdbcd">neighbors</a>(i, <a class="code hl_define" href="IsingModel_8hpp.html#a1965eaca47dbf3f87acdafc2208f04eb">UP</a>) = <a class="code hl_define" href="IsingModel_8hpp.html#a3039ac753f46401767c38f867787fae6">INDEX</a>(i - 1, this-&gt;<a class="code hl_variable" href="classIsingModel.html#a2b8ac43baefeb386186266d5aa4de348">L</a>);</div>
<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span> this-&gt;<a class="code hl_variable" href="classIsingModel.html#a94093aaf30facca62737f2ac381fdbcd">neighbors</a>(i, <a class="code hl_define" href="IsingModel_8hpp.html#a4193cd1c8c2e6ebd0e056fa2364a663f">DOWN</a>) = <a class="code hl_define" href="IsingModel_8hpp.html#a3039ac753f46401767c38f867787fae6">INDEX</a>(i + 1, this-&gt;<a class="code hl_variable" href="classIsingModel.html#a2b8ac43baefeb386186266d5aa4de348">L</a>);</div>
<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span> }</div>
<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span>}</div>
<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> </div>
<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"><a class="line" href="classIsingModel.html#aff9a1201933fd5408845a1447e4895b4"> 81</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="classIsingModel.html#aff9a1201933fd5408845a1447e4895b4">IsingModel::initialize_energy_diff</a>()</div>
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span>{</div>
<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = -8; i &lt;= 8; i += 4) {</div>
<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> this-&gt;<a class="code hl_variable" href="classIsingModel.html#a7112dd6433b1bb9512150cbdc1a0b77e">energy_diff</a>[i+8] = std::exp(-(<span class="keywordtype">double</span>)i / this-&gt;<a class="code hl_variable" href="classIsingModel.html#a20fc4c0c99d8a119f70a1614784d4e5c">T</a>);</div>
<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span> }</div>
<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span>}</div>
<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span> </div>
<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"><a class="line" href="classIsingModel.html#a926cf4964d190d2ce23e5a17201787a4"> 88</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="classIsingModel.html#a926cf4964d190d2ce23e5a17201787a4">IsingModel::initialize_magnetization</a>()</div>
<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span>{</div>
<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span> this-&gt;<a class="code hl_variable" href="classIsingModel.html#aef7232b28df08e064ef58eb5ef32f738">M</a> = 0.;</div>
<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; this-&gt;<a class="code hl_variable" href="classIsingModel.html#a2c3c76c79717c968d7c227c58b46df41">lattice</a>.n_elem; i++) {</div>
<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span> this-&gt;<a class="code hl_variable" href="classIsingModel.html#aef7232b28df08e064ef58eb5ef32f738">M</a> += this-&gt;<a class="code hl_variable" href="classIsingModel.html#a2c3c76c79717c968d7c227c58b46df41">lattice</a>(i);</div>
<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span> }</div>
<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span>}</div>
<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> </div>
<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"><a class="line" href="classIsingModel.html#a59fced38c695e2fa647f53be81b9d2a1"> 96</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="classIsingModel.html#a59fced38c695e2fa647f53be81b9d2a1">IsingModel::initialize_energy</a>()</div>
<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span>{</div>
<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span> this-&gt;<a class="code hl_variable" href="classIsingModel.html#a1c8a2a4331c7e60c3e1350c0cf8300b9">E</a> = 0.;</div>
<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span> </div>
<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span> <span class="comment">// Loop through the matrix</span></div>
<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> j = 0; j &lt; this-&gt;<a class="code hl_variable" href="classIsingModel.html#a2b8ac43baefeb386186266d5aa4de348">L</a>; j++) {</div>
<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; this-&gt;<a class="code hl_variable" href="classIsingModel.html#a2b8ac43baefeb386186266d5aa4de348">L</a>; i++) {</div>
<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span> this-&gt;<a class="code hl_variable" href="classIsingModel.html#a1c8a2a4331c7e60c3e1350c0cf8300b9">E</a> -= this-&gt;<a class="code hl_variable" href="classIsingModel.html#a2c3c76c79717c968d7c227c58b46df41">lattice</a>(i, j)</div>
<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span> * (this-&gt;<a class="code hl_variable" href="classIsingModel.html#a2c3c76c79717c968d7c227c58b46df41">lattice</a>(i, this-&gt;<a class="code hl_variable" href="classIsingModel.html#a94093aaf30facca62737f2ac381fdbcd">neighbors</a>(j, <a class="code hl_define" href="IsingModel_8hpp.html#a80fb826a684cf3f0d306b22aa100ddac">RIGHT</a>))</div>
<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span> + this-&gt;<a class="code hl_variable" href="classIsingModel.html#a2c3c76c79717c968d7c227c58b46df41">lattice</a>(this-&gt;<a class="code hl_variable" href="classIsingModel.html#a94093aaf30facca62737f2ac381fdbcd">neighbors</a>(i, <a class="code hl_define" href="IsingModel_8hpp.html#a4193cd1c8c2e6ebd0e056fa2364a663f">DOWN</a>), j));</div>
<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span> }</div>
<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span> }</div>
<div class="line"><a id="l00108" name="l00108"></a><span class="lineno"> 108</span>}</div>
<div class="line"><a id="l00109" name="l00109"></a><span class="lineno"> 109</span> </div>
<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"><a class="line" href="classIsingModel.html#a56559d68dc9aaff1976d84b157f43488"> 110</a></span><a class="code hl_class" href="classdata__t.html">data_t</a> <a class="code hl_function" href="classIsingModel.html#a56559d68dc9aaff1976d84b157f43488">IsingModel::Metropolis</a>()</div>
<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span>{</div>
<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span> <span class="keywordtype">int</span> ri, rj;</div>
<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span> <span class="keywordtype">int</span> dE;</div>
<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span> </div>
<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span> <span class="comment">// Create random distribution for indeces</span></div>
<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span> std::uniform_int_distribution&lt;&gt; random_index(0, this-&gt;<a class="code hl_variable" href="classIsingModel.html#a2b8ac43baefeb386186266d5aa4de348">L</a> - 1);</div>
<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span> <span class="comment">// Create random distribution for acceptance</span></div>
<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span> std::uniform_real_distribution&lt;&gt; random_number(0., 1.);</div>
<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span> </div>
<div class="line"><a id="l00120" name="l00120"></a><span class="lineno"> 120</span> <span class="comment">// Loop over the number of spins</span></div>
<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; this-&gt;<a class="code hl_variable" href="classIsingModel.html#a2c3c76c79717c968d7c227c58b46df41">lattice</a>.n_elem; i++) {</div>
<div class="line"><a id="l00122" name="l00122"></a><span class="lineno"> 122</span> <span class="comment">// Get random indeces</span></div>
<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"> 123</span> ri = random_index(<a class="code hl_variable" href="classIsingModel.html#a1bbe0cb10abee98058e7b45b22b9cd0a">engine</a>);</div>
<div class="line"><a id="l00124" name="l00124"></a><span class="lineno"> 124</span> rj = random_index(<a class="code hl_variable" href="classIsingModel.html#a1bbe0cb10abee98058e7b45b22b9cd0a">engine</a>);</div>
<div class="line"><a id="l00125" name="l00125"></a><span class="lineno"> 125</span> </div>
<div class="line"><a id="l00126" name="l00126"></a><span class="lineno"> 126</span> <span class="comment">// Calculate the difference in energy</span></div>
<div class="line"><a id="l00127" name="l00127"></a><span class="lineno"> 127</span> dE = 2 * this-&gt;<a class="code hl_variable" href="classIsingModel.html#a2c3c76c79717c968d7c227c58b46df41">lattice</a>(ri, rj)</div>
<div class="line"><a id="l00128" name="l00128"></a><span class="lineno"> 128</span> * (this-&gt;<a class="code hl_variable" href="classIsingModel.html#a2c3c76c79717c968d7c227c58b46df41">lattice</a>(ri, this-&gt;<a class="code hl_variable" href="classIsingModel.html#a94093aaf30facca62737f2ac381fdbcd">neighbors</a>(rj, <a class="code hl_define" href="IsingModel_8hpp.html#a437ef08681e7210d6678427030446a54">LEFT</a>))</div>
<div class="line"><a id="l00129" name="l00129"></a><span class="lineno"> 129</span> + this-&gt;<a class="code hl_variable" href="classIsingModel.html#a2c3c76c79717c968d7c227c58b46df41">lattice</a>(ri, this-&gt;<a class="code hl_variable" href="classIsingModel.html#a94093aaf30facca62737f2ac381fdbcd">neighbors</a>(rj, <a class="code hl_define" href="IsingModel_8hpp.html#a80fb826a684cf3f0d306b22aa100ddac">RIGHT</a>))</div>
<div class="line"><a id="l00130" name="l00130"></a><span class="lineno"> 130</span> + this-&gt;<a class="code hl_variable" href="classIsingModel.html#a2c3c76c79717c968d7c227c58b46df41">lattice</a>(this-&gt;<a class="code hl_variable" href="classIsingModel.html#a94093aaf30facca62737f2ac381fdbcd">neighbors</a>(ri, <a class="code hl_define" href="IsingModel_8hpp.html#a1965eaca47dbf3f87acdafc2208f04eb">UP</a>), rj)</div>
<div class="line"><a id="l00131" name="l00131"></a><span class="lineno"> 131</span> + this-&gt;<a class="code hl_variable" href="classIsingModel.html#a2c3c76c79717c968d7c227c58b46df41">lattice</a>(this-&gt;<a class="code hl_variable" href="classIsingModel.html#a94093aaf30facca62737f2ac381fdbcd">neighbors</a>(ri, <a class="code hl_define" href="IsingModel_8hpp.html#a4193cd1c8c2e6ebd0e056fa2364a663f">DOWN</a>), rj));</div>
<div class="line"><a id="l00132" name="l00132"></a><span class="lineno"> 132</span> </div>
<div class="line"><a id="l00133" name="l00133"></a><span class="lineno"> 133</span> <span class="comment">// Choose whether or not to accept the new configuration</span></div>
<div class="line"><a id="l00134" name="l00134"></a><span class="lineno"> 134</span> <span class="keywordflow">if</span> (random_number(<a class="code hl_variable" href="classIsingModel.html#a1bbe0cb10abee98058e7b45b22b9cd0a">engine</a>) &lt;= this-&gt;<a class="code hl_variable" href="classIsingModel.html#a7112dd6433b1bb9512150cbdc1a0b77e">energy_diff</a>[dE+8]) {</div>
<div class="line"><a id="l00135" name="l00135"></a><span class="lineno"> 135</span> <span class="comment">// Update if the configuration is accepted</span></div>
<div class="line"><a id="l00136" name="l00136"></a><span class="lineno"> 136</span> this-&gt;<a class="code hl_variable" href="classIsingModel.html#a2c3c76c79717c968d7c227c58b46df41">lattice</a>(ri, rj) *= -1;</div>
<div class="line"><a id="l00137" name="l00137"></a><span class="lineno"> 137</span> this-&gt;<a class="code hl_variable" href="classIsingModel.html#aef7232b28df08e064ef58eb5ef32f738">M</a> += 2 * this-&gt;<a class="code hl_variable" href="classIsingModel.html#a2c3c76c79717c968d7c227c58b46df41">lattice</a>(ri, rj);</div>
<div class="line"><a id="l00138" name="l00138"></a><span class="lineno"> 138</span> this-&gt;<a class="code hl_variable" href="classIsingModel.html#a1c8a2a4331c7e60c3e1350c0cf8300b9">E</a> += dE;</div>
<div class="line"><a id="l00139" name="l00139"></a><span class="lineno"> 139</span> }</div>
<div class="line"><a id="l00140" name="l00140"></a><span class="lineno"> 140</span> }</div>
<div class="line"><a id="l00141" name="l00141"></a><span class="lineno"> 141</span> </div>
<div class="line"><a id="l00142" name="l00142"></a><span class="lineno"> 142</span> <span class="keywordflow">return</span> <a class="code hl_class" href="classdata__t.html">data_t</a>((<span class="keywordtype">double</span>)this-&gt;<a class="code hl_variable" href="classIsingModel.html#a1c8a2a4331c7e60c3e1350c0cf8300b9">E</a>, (<span class="keywordtype">double</span>)(this-&gt;E * this-&gt;E), (<span class="keywordtype">double</span>)this-&gt;<a class="code hl_variable" href="classIsingModel.html#aef7232b28df08e064ef58eb5ef32f738">M</a>,</div>
<div class="line"><a id="l00143" name="l00143"></a><span class="lineno"> 143</span> (<span class="keywordtype">double</span>)(this-&gt;M * this-&gt;M), std::fabs((<span class="keywordtype">double</span>)this-&gt;M));</div>
<div class="line"><a id="l00144" name="l00144"></a><span class="lineno"> 144</span>}</div>
<div class="ttc" id="aIsingModel_8hpp_html"><div class="ttname"><a href="IsingModel_8hpp.html">IsingModel.hpp</a></div><div class="ttdoc">The definition of the Ising model.</div></div>
<div class="ttc" id="aIsingModel_8hpp_html_a1965eaca47dbf3f87acdafc2208f04eb"><div class="ttname"><a href="IsingModel_8hpp.html#a1965eaca47dbf3f87acdafc2208f04eb">UP</a></div><div class="ttdeci">#define UP</div><div class="ttdoc">Used for the neighbor matrix in the class.</div><div class="ttdef"><b>Definition:</b> <a href="IsingModel_8hpp_source.html#l00026">IsingModel.hpp:26</a></div></div>
<div class="ttc" id="aIsingModel_8hpp_html_a3039ac753f46401767c38f867787fae6"><div class="ttname"><a href="IsingModel_8hpp.html#a3039ac753f46401767c38f867787fae6">INDEX</a></div><div class="ttdeci">#define INDEX(I, N)</div><div class="ttdoc">I modulo N.</div><div class="ttdef"><b>Definition:</b> <a href="IsingModel_8hpp_source.html#l00023">IsingModel.hpp:23</a></div></div>
<div class="ttc" id="aIsingModel_8hpp_html_a4193cd1c8c2e6ebd0e056fa2364a663f"><div class="ttname"><a href="IsingModel_8hpp.html#a4193cd1c8c2e6ebd0e056fa2364a663f">DOWN</a></div><div class="ttdeci">#define DOWN</div><div class="ttdoc">Used for the neighbor matrix in the class.</div><div class="ttdef"><b>Definition:</b> <a href="IsingModel_8hpp_source.html#l00028">IsingModel.hpp:28</a></div></div>
<div class="ttc" id="aIsingModel_8hpp_html_a437ef08681e7210d6678427030446a54"><div class="ttname"><a href="IsingModel_8hpp.html#a437ef08681e7210d6678427030446a54">LEFT</a></div><div class="ttdeci">#define LEFT</div><div class="ttdoc">Used for the neighbor matrix in the class.</div><div class="ttdef"><b>Definition:</b> <a href="IsingModel_8hpp_source.html#l00027">IsingModel.hpp:27</a></div></div>
<div class="ttc" id="aIsingModel_8hpp_html_a80fb826a684cf3f0d306b22aa100ddac"><div class="ttname"><a href="IsingModel_8hpp.html#a80fb826a684cf3f0d306b22aa100ddac">RIGHT</a></div><div class="ttdeci">#define RIGHT</div><div class="ttdoc">Used for the neighbor matrix in the class.</div><div class="ttdef"><b>Definition:</b> <a href="IsingModel_8hpp_source.html#l00029">IsingModel.hpp:29</a></div></div>
<div class="ttc" id="aclassIsingModel_html_a1bbe0cb10abee98058e7b45b22b9cd0a"><div class="ttname"><a href="classIsingModel.html#a1bbe0cb10abee98058e7b45b22b9cd0a">IsingModel::engine</a></div><div class="ttdeci">std::mt19937 engine</div><div class="ttdoc">The RNG that is used for the Metropolis algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="IsingModel_8hpp_source.html#l00078">IsingModel.hpp:78</a></div></div>
<div class="ttc" id="aclassIsingModel_html_a1c8a2a4331c7e60c3e1350c0cf8300b9"><div class="ttname"><a href="classIsingModel.html#a1c8a2a4331c7e60c3e1350c0cf8300b9">IsingModel::E</a></div><div class="ttdeci">int64_t E</div><div class="ttdoc">The current energy state. unit: .</div><div class="ttdef"><b>Definition:</b> <a href="IsingModel_8hpp_source.html#l00070">IsingModel.hpp:70</a></div></div>
<div class="ttc" id="aclassIsingModel_html_a20fc4c0c99d8a119f70a1614784d4e5c"><div class="ttname"><a href="classIsingModel.html#a20fc4c0c99d8a119f70a1614784d4e5c">IsingModel::T</a></div><div class="ttdeci">double T</div><div class="ttdoc">The temperature of the model.</div><div class="ttdef"><b>Definition:</b> <a href="IsingModel_8hpp_source.html#l00062">IsingModel.hpp:62</a></div></div>
<div class="ttc" id="aclassIsingModel_html_a2b8ac43baefeb386186266d5aa4de348"><div class="ttname"><a href="classIsingModel.html#a2b8ac43baefeb386186266d5aa4de348">IsingModel::L</a></div><div class="ttdeci">int L</div><div class="ttdoc">Size of the lattice.</div><div class="ttdef"><b>Definition:</b> <a href="IsingModel_8hpp_source.html#l00066">IsingModel.hpp:66</a></div></div>
<div class="ttc" id="aclassIsingModel_html_a2c3c76c79717c968d7c227c58b46df41"><div class="ttname"><a href="classIsingModel.html#a2c3c76c79717c968d7c227c58b46df41">IsingModel::lattice</a></div><div class="ttdeci">arma::Mat&lt; int &gt; lattice</div><div class="ttdoc">matrix where element .</div><div class="ttdef"><b>Definition:</b> <a href="IsingModel_8hpp_source.html#l00044">IsingModel.hpp:44</a></div></div>
<div class="ttc" id="aclassIsingModel_html_a34a4710949b4a70f3e37ca223aefcf8a"><div class="ttname"><a href="classIsingModel.html#a34a4710949b4a70f3e37ca223aefcf8a">IsingModel::initialize_lattice</a></div><div class="ttdeci">void initialize_lattice()</div><div class="ttdoc">Initialize the lattice with a random distribution of 1s and -1s.</div><div class="ttdef"><b>Definition:</b> <a href="IsingModel_8cpp_source.html#l00049">IsingModel.cpp:49</a></div></div>
<div class="ttc" id="aclassIsingModel_html_a56559d68dc9aaff1976d84b157f43488"><div class="ttname"><a href="classIsingModel.html#a56559d68dc9aaff1976d84b157f43488">IsingModel::Metropolis</a></div><div class="ttdeci">data_t Metropolis()</div><div class="ttdoc">The Metropolis algorithm.</div><div class="ttdef"><b>Definition:</b> <a href="IsingModel_8cpp_source.html#l00110">IsingModel.cpp:110</a></div></div>
<div class="ttc" id="aclassIsingModel_html_a59fced38c695e2fa647f53be81b9d2a1"><div class="ttname"><a href="classIsingModel.html#a59fced38c695e2fa647f53be81b9d2a1">IsingModel::initialize_energy</a></div><div class="ttdeci">void initialize_energy()</div><div class="ttdoc">Initialize the energy of the system.</div><div class="ttdef"><b>Definition:</b> <a href="IsingModel_8cpp_source.html#l00096">IsingModel.cpp:96</a></div></div>
<div class="ttc" id="aclassIsingModel_html_a6776109105051597c275670dabd0054a"><div class="ttname"><a href="classIsingModel.html#a6776109105051597c275670dabd0054a">IsingModel::initialize_neighbors</a></div><div class="ttdeci">void initialize_neighbors()</div><div class="ttdoc">initialize the neighbors matrix.</div><div class="ttdef"><b>Definition:</b> <a href="IsingModel_8cpp_source.html#l00070">IsingModel.cpp:70</a></div></div>
<div class="ttc" id="aclassIsingModel_html_a7112dd6433b1bb9512150cbdc1a0b77e"><div class="ttname"><a href="classIsingModel.html#a7112dd6433b1bb9512150cbdc1a0b77e">IsingModel::energy_diff</a></div><div class="ttdeci">double energy_diff[17]</div><div class="ttdoc">An array containing all possible energy differences.</div><div class="ttdef"><b>Definition:</b> <a href="IsingModel_8hpp_source.html#l00058">IsingModel.hpp:58</a></div></div>
<div class="ttc" id="aclassIsingModel_html_a926cf4964d190d2ce23e5a17201787a4"><div class="ttname"><a href="classIsingModel.html#a926cf4964d190d2ce23e5a17201787a4">IsingModel::initialize_magnetization</a></div><div class="ttdeci">void initialize_magnetization()</div><div class="ttdoc">Initialize the magnetization of the system.</div><div class="ttdef"><b>Definition:</b> <a href="IsingModel_8cpp_source.html#l00088">IsingModel.cpp:88</a></div></div>
<div class="ttc" id="aclassIsingModel_html_a94093aaf30facca62737f2ac381fdbcd"><div class="ttname"><a href="classIsingModel.html#a94093aaf30facca62737f2ac381fdbcd">IsingModel::neighbors</a></div><div class="ttdeci">arma::Mat&lt; int &gt; neighbors</div><div class="ttdoc">matrix with the neighbors of each element .</div><div class="ttdef"><b>Definition:</b> <a href="IsingModel_8hpp_source.html#l00054">IsingModel.hpp:54</a></div></div>
<div class="ttc" id="aclassIsingModel_html_aaedc25b7284e04849269f31291590bf5"><div class="ttname"><a href="classIsingModel.html#aaedc25b7284e04849269f31291590bf5">IsingModel::initialize_engine</a></div><div class="ttdeci">void initialize_engine()</div><div class="ttdoc">Initialize the RNG.</div><div class="ttdef"><b>Definition:</b> <a href="IsingModel_8cpp_source.html#l00043">IsingModel.cpp:43</a></div></div>
<div class="ttc" id="aclassIsingModel_html_acf281f6f5ed02911ca6ab07004449864"><div class="ttname"><a href="classIsingModel.html#acf281f6f5ed02911ca6ab07004449864">IsingModel::IsingModel</a></div><div class="ttdeci">IsingModel()</div><div class="ttdoc">Constructor used for testing.</div><div class="ttdef"><b>Definition:</b> <a href="IsingModel_8cpp_source.html#l00014">IsingModel.cpp:14</a></div></div>
<div class="ttc" id="aclassIsingModel_html_aef7232b28df08e064ef58eb5ef32f738"><div class="ttname"><a href="classIsingModel.html#aef7232b28df08e064ef58eb5ef32f738">IsingModel::M</a></div><div class="ttdeci">int64_t M</div><div class="ttdoc">The current magnetic strength. unit: Unitless.</div><div class="ttdef"><b>Definition:</b> <a href="IsingModel_8hpp_source.html#l00074">IsingModel.hpp:74</a></div></div>
<div class="ttc" id="aclassIsingModel_html_aff9a1201933fd5408845a1447e4895b4"><div class="ttname"><a href="classIsingModel.html#aff9a1201933fd5408845a1447e4895b4">IsingModel::initialize_energy_diff</a></div><div class="ttdeci">void initialize_energy_diff()</div><div class="ttdoc">Initialize the energy_diff array with the correct values.</div><div class="ttdef"><b>Definition:</b> <a href="IsingModel_8cpp_source.html#l00081">IsingModel.cpp:81</a></div></div>
<div class="ttc" id="aclassdata__t_html"><div class="ttname"><a href="classdata__t.html">data_t</a></div><div class="ttdoc">Type to use with the IsingModel class and montecarlo module.</div><div class="ttdef"><b>Definition:</b> <a href="data__type_8hpp_source.html#l00019">data_type.hpp:19</a></div></div>
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