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<a href="monte__carlo_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="l00012" name="l00012"></a><span class="lineno"> 12</span><span class="preprocessor">#include "<a class="code" href="monte__carlo_8hpp.html">monte_carlo.hpp</a>"</span></div>
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<div class="line"><a id="l00013" name="l00013"></a><span class="lineno"> 13</span> </div>
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<div class="line"><a id="l00014" name="l00014"></a><span class="lineno"> 14</span><span class="preprocessor">#include <cmath></span></div>
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<div class="line"><a id="l00015" name="l00015"></a><span class="lineno"> 15</span><span class="preprocessor">#include <cstdint></span></div>
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<div class="line"><a id="l00016" name="l00016"></a><span class="lineno"> 16</span> </div>
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<div class="line"><a id="l00017" name="l00017"></a><span class="lineno"><a class="line" href="monte__carlo_8hpp.html#ac97d0de27f2f0d50fc6ecf3a79f32826"> 17</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="monte__carlo_8cpp.html#ac97d0de27f2f0d50fc6ecf3a79f32826">monte_carlo_progression</a>(<span class="keywordtype">double</span> T, <span class="keywordtype">int</span> L, <span class="keywordtype">int</span> cycles,</div>
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<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span> <span class="keyword">const</span> std::string filename)</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="comment">// Set some variables</span></div>
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<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span> <a class="code hl_class" href="classdata__t.html">data_t</a> data, tmp;</div>
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<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span> <span class="keywordtype">int</span> n_spins = L * L;</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="comment">// File stuff</span></div>
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<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span> std::string directory = utils::dirname(filename);</div>
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<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</span> std::ofstream ofile;</div>
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<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span> </div>
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<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span> <span class="comment">// Create random engine using the mersenne twister</span></div>
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<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span> std::random_device rd;</div>
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<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span> uint32_t rd_sample = rd();</div>
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<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span> std::mt19937 engine(rd_sample);</div>
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<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span> </div>
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<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span> std::cout << <span class="stringliteral">"Seed: "</span> << rd_sample << std::endl;</div>
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<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span> </div>
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<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span> <a class="code hl_class" href="classIsingModel.html">IsingModel</a> ising(L, T);</div>
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<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span> </div>
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<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span> <span class="comment">// Create path and open file</span></div>
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<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span> utils::mkpath(directory);</div>
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<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span> ofile.open(filename);</div>
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<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span> </div>
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<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span> <span class="comment">// Loop through cycles</span></div>
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<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 1; i <= cycles; i++) {</div>
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<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span> data += ising.<a class="code hl_function" href="classIsingModel.html#a56559d68dc9aaff1976d84b157f43488">Metropolis</a>();</div>
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<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span> tmp = data / (i * n_spins);</div>
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<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span> ofile << i << <span class="charliteral">','</span> << tmp.E << <span class="charliteral">','</span> << tmp.E2 << <span class="charliteral">','</span> << tmp.M << <span class="charliteral">','</span></div>
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<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span> << tmp.M2 << <span class="charliteral">','</span> << tmp.M_abs << <span class="charliteral">'\n'</span>;</div>
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<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span> }</div>
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<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span> ofile.close();</div>
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<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span>}</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"><a class="line" href="monte__carlo_8hpp.html#a89ddd777796c65eb2b289af11fc0ce09"> 51</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="monte__carlo_8cpp.html#ac97d0de27f2f0d50fc6ecf3a79f32826">monte_carlo_progression</a>(<span class="keywordtype">double</span> T, <span class="keywordtype">int</span> L, <span class="keywordtype">int</span> cycles, <span class="keywordtype">int</span> value,</div>
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<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span> <span class="keyword">const</span> std::string filename)</div>
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<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span>{</div>
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<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span> <span class="comment">// Set some variables</span></div>
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<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span> <a class="code hl_class" href="classdata__t.html">data_t</a> data, tmp;</div>
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<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> <span class="keywordtype">int</span> n_spins = L * L;</div>
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<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> </div>
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<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> <span class="comment">// File stuff</span></div>
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<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> std::string directory = utils::dirname(filename);</div>
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<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span> std::ofstream ofile;</div>
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<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> </div>
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<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> <span class="comment">// Create random engine using the mersenne twister</span></div>
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<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> std::random_device rd;</div>
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<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> uint32_t rd_sample = rd();</div>
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<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> std::mt19937 engine(rd());</div>
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<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> </div>
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<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span> std::cout << <span class="stringliteral">"Seed: "</span> << rd_sample << std::endl;</div>
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<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> </div>
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<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span> <a class="code hl_class" href="classIsingModel.html">IsingModel</a> ising(L, T, value);</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">// Create path and open file</span></div>
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<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span> utils::mkpath(directory);</div>
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<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span> ofile.open(filename);</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="comment">// Loop through cycles</span></div>
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<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 1; i <= cycles; i++) {</div>
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<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span> data += ising.<a class="code hl_function" href="classIsingModel.html#a56559d68dc9aaff1976d84b157f43488">Metropolis</a>();</div>
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<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span> tmp = data / (i * n_spins);</div>
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<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span> ofile << i << <span class="charliteral">','</span> << tmp.E << <span class="charliteral">','</span> << tmp.E2 << <span class="charliteral">','</span> << tmp.M << <span class="charliteral">','</span></div>
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<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> << tmp.M2 << <span class="charliteral">','</span> << tmp.M_abs << <span class="charliteral">'\n'</span>;</div>
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<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span> }</div>
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<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span> ofile.close();</div>
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<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span>}</div>
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<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> </div>
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<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"><a class="line" href="monte__carlo_8hpp.html#a962f704ab35208bf6541eb3b707a9559"> 85</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="monte__carlo_8hpp.html#a962f704ab35208bf6541eb3b707a9559">pd_estimate</a>(<span class="keywordtype">double</span> T, <span class="keywordtype">int</span> L, <span class="keywordtype">int</span> cycles, <span class="keyword">const</span> std::string filename)</div>
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<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span>{</div>
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<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span> <span class="comment">// Set some variables</span></div>
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<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span> <a class="code hl_class" href="classdata__t.html">data_t</a> data, tmp;</div>
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<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span> <span class="keywordtype">int</span> n_spins = L * L;</div>
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<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span> </div>
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<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span> <span class="comment">// File stuff</span></div>
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<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span> std::string directory = utils::dirname(filename);</div>
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<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span> std::ofstream ofile;</div>
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<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> </div>
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<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> <a class="code hl_class" href="classIsingModel.html">IsingModel</a> ising(L, T);</div>
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<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> </div>
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<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span> <span class="comment">// Create path and open file</span></div>
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<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span> utils::mkpath(directory);</div>
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<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span> ofile.open(filename);</div>
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<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span> </div>
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<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span> <span class="comment">// Loop through cycles</span></div>
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<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 = 1; i <= cycles; i++) {</div>
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<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span> data = ising.<a class="code hl_function" href="classIsingModel.html#a56559d68dc9aaff1976d84b157f43488">Metropolis</a>() / n_spins;</div>
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<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span> ofile << data.E << <span class="charliteral">','</span> << data.E2 << <span class="charliteral">','</span> << data.M << <span class="charliteral">','</span> << data.M2</div>
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<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span> << <span class="charliteral">','</span> << data.M_abs << <span class="charliteral">'\n'</span>;</div>
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<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span> }</div>
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<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span> ofile.close();</div>
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<div class="line"><a id="l00108" name="l00108"></a><span class="lineno"> 108</span>}</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><span class="comment">// Code for seeing phase transitions.</span></div>
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<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"><a class="line" href="monte__carlo_8hpp.html#a8f8d4c5e032ed8565a3ac518b32c6aed"> 111</a></span><a class="code hl_class" href="classdata__t.html">data_t</a> <a class="code hl_function" href="monte__carlo_8cpp.html#a8f8d4c5e032ed8565a3ac518b32c6aed">monte_carlo_serial</a>(<span class="keywordtype">int</span> L, <span class="keywordtype">double</span> T, <span class="keywordtype">int</span> cycles)</div>
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<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span>{</div>
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<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span> <a class="code hl_class" href="classdata__t.html">data_t</a> data;</div>
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<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span> <a class="code hl_class" href="classIsingModel.html">IsingModel</a> model(L, T);</div>
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<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span> </div>
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<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i < BURN_IN_TIME; i++) {</div>
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<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span> model.<a class="code hl_function" href="classIsingModel.html#a56559d68dc9aaff1976d84b157f43488">Metropolis</a>();</div>
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<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span> }</div>
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<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span> </div>
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<div class="line"><a id="l00120" name="l00120"></a><span class="lineno"> 120</span> <span class="keywordtype">double</span> E, M;</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">size_t</span> i = 0; i < (uint)cycles; i++) {</div>
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<div class="line"><a id="l00122" name="l00122"></a><span class="lineno"> 122</span> data += model.<a class="code hl_function" href="classIsingModel.html#a56559d68dc9aaff1976d84b157f43488">Metropolis</a>();</div>
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<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"> 123</span> }</div>
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<div class="line"><a id="l00124" name="l00124"></a><span class="lineno"> 124</span> </div>
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<div class="line"><a id="l00125" name="l00125"></a><span class="lineno"> 125</span> <span class="keywordflow">return</span> data;</div>
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<div class="line"><a id="l00126" name="l00126"></a><span class="lineno"> 126</span>}</div>
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<div class="line"><a id="l00127" name="l00127"></a><span class="lineno"> 127</span> </div>
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<div class="line"><a id="l00128" name="l00128"></a><span class="lineno"><a class="line" href="monte__carlo_8hpp.html#acc34e2049a5030874f6f548f3adab958"> 128</a></span><a class="code hl_class" href="classdata__t.html">data_t</a> <a class="code hl_function" href="monte__carlo_8cpp.html#acc34e2049a5030874f6f548f3adab958">monte_carlo_parallel</a>(<span class="keywordtype">int</span> L, <span class="keywordtype">double</span> T, <span class="keywordtype">int</span> cycles)</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="l00130" name="l00130"></a><span class="lineno"> 130</span> <a class="code hl_class" href="classdata__t.html">data_t</a> data;</div>
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<div class="line"><a id="l00131" name="l00131"></a><span class="lineno"> 131</span><span class="preprocessor">#pragma omp parallel</span></div>
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<div class="line"><a id="l00132" name="l00132"></a><span class="lineno"> 132</span> {</div>
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<div class="line"><a id="l00133" name="l00133"></a><span class="lineno"> 133</span> <span class="comment">// Each thread creates an instance of IsingModel.</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="classIsingModel.html">IsingModel</a> model(L, T);</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="comment">// Each thread runs the Metropolis algorithm before starting to collect</span></div>
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<div class="line"><a id="l00137" name="l00137"></a><span class="lineno"> 137</span> <span class="comment">// samples</span></div>
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<div class="line"><a id="l00138" name="l00138"></a><span class="lineno"> 138</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i < BURN_IN_TIME; i++) {</div>
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<div class="line"><a id="l00139" name="l00139"></a><span class="lineno"> 139</span> model.<a class="code hl_function" href="classIsingModel.html#a56559d68dc9aaff1976d84b157f43488">Metropolis</a>();</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="l00142" name="l00142"></a><span class="lineno"> 142</span> <span class="comment">// Now each thread work on one loop together, but using their own</span></div>
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<div class="line"><a id="l00143" name="l00143"></a><span class="lineno"> 143</span> <span class="comment">// instances of things, but the total of cycles add up.</span></div>
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<div class="line"><a id="l00144" name="l00144"></a><span class="lineno"> 144</span> <span class="comment">// static ensure that each thread gets the same amount of iterations</span></div>
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<div class="line"><a id="l00145" name="l00145"></a><span class="lineno"> 145</span><span class="preprocessor">#pragma omp for schedule(static) reduction(+ : data)</span></div>
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<div class="line"><a id="l00146" name="l00146"></a><span class="lineno"> 146</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i < (uint)cycles; i++) {</div>
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<div class="line"><a id="l00147" name="l00147"></a><span class="lineno"> 147</span> data += model.<a class="code hl_function" href="classIsingModel.html#a56559d68dc9aaff1976d84b157f43488">Metropolis</a>();</div>
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<div class="line"><a id="l00148" name="l00148"></a><span class="lineno"> 148</span> }</div>
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<div class="line"><a id="l00149" name="l00149"></a><span class="lineno"> 149</span> }</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> norm = 1. / (double)cycles;</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="keywordflow">return</span> data * norm;</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> </div>
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<div class="line"><a id="l00156" name="l00156"></a><span class="lineno"><a class="line" href="monte__carlo_8hpp.html#a2dfe843fbb80e10a763f3260131a148e"> 156</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="monte__carlo_8hpp.html#a2dfe843fbb80e10a763f3260131a148e">phase_transition</a>(<span class="keywordtype">int</span> L, <span class="keywordtype">double</span> start, <span class="keywordtype">double</span> end, <span class="keywordtype">int</span> points,</div>
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<div class="line"><a id="l00157" name="l00157"></a><span class="lineno"> 157</span> std::function<<a class="code hl_class" href="classdata__t.html">data_t</a>(<span class="keywordtype">int</span>, <span class="keywordtype">double</span>, <span class="keywordtype">int</span>)> monte_carlo,</div>
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<div class="line"><a id="l00158" name="l00158"></a><span class="lineno"> 158</span> std::string outfile)</div>
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<div class="line"><a id="l00159" name="l00159"></a><span class="lineno"> 159</span>{</div>
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<div class="line"><a id="l00160" name="l00160"></a><span class="lineno"> 160</span> <span class="keywordtype">double</span> dt = (end - start) / (<span class="keywordtype">double</span>)points;</div>
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<div class="line"><a id="l00161" name="l00161"></a><span class="lineno"> 161</span> <span class="keywordtype">int</span> cycles = 10000;</div>
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<div class="line"><a id="l00162" name="l00162"></a><span class="lineno"> 162</span> <span class="keywordtype">int</span> N = L * L;</div>
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<div class="line"><a id="l00163" name="l00163"></a><span class="lineno"> 163</span> std::ofstream ofile;</div>
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<div class="line"><a id="l00164" name="l00164"></a><span class="lineno"> 164</span> </div>
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<div class="line"><a id="l00165" name="l00165"></a><span class="lineno"> 165</span> <a class="code hl_class" href="classdata__t.html">data_t</a> data;</div>
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<div class="line"><a id="l00166" name="l00166"></a><span class="lineno"> 166</span> </div>
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<div class="line"><a id="l00167" name="l00167"></a><span class="lineno"> 167</span> utils::mkpath(utils::dirname(outfile));</div>
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<div class="line"><a id="l00168" name="l00168"></a><span class="lineno"> 168</span> ofile.open(outfile);</div>
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<div class="line"><a id="l00169" name="l00169"></a><span class="lineno"> 169</span> </div>
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<div class="line"><a id="l00170" name="l00170"></a><span class="lineno"> 170</span> <span class="keywordtype">double</span> temp, CV, X, E_var, M_var;</div>
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<div class="line"><a id="l00171" name="l00171"></a><span class="lineno"> 171</span> </div>
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<div class="line"><a id="l00172" name="l00172"></a><span class="lineno"> 172</span> <span class="keyword">using </span>utils::scientific_format;</div>
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<div class="line"><a id="l00173" name="l00173"></a><span class="lineno"> 173</span> <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i < points; i++) {</div>
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<div class="line"><a id="l00174" name="l00174"></a><span class="lineno"> 174</span> temp = start + dt * i;</div>
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<div class="line"><a id="l00175" name="l00175"></a><span class="lineno"> 175</span> data = monte_carlo(L, temp, cycles);</div>
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<div class="line"><a id="l00176" name="l00176"></a><span class="lineno"> 176</span> E_var = (data.E2 - data.E * data.E) / (<span class="keywordtype">double</span>)N;</div>
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<div class="line"><a id="l00177" name="l00177"></a><span class="lineno"> 177</span> M_var = (data.M2 - data.M_abs * data.M_abs) / (<span class="keywordtype">double</span>)N;</div>
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<div class="line"><a id="l00178" name="l00178"></a><span class="lineno"> 178</span> </div>
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<div class="line"><a id="l00179" name="l00179"></a><span class="lineno"> 179</span> ofile << scientific_format(temp) << <span class="charliteral">','</span></div>
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<div class="line"><a id="l00180" name="l00180"></a><span class="lineno"> 180</span> << scientific_format(data.E / (<span class="keywordtype">double</span>)N) << <span class="charliteral">','</span></div>
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<div class="line"><a id="l00181" name="l00181"></a><span class="lineno"> 181</span> << scientific_format(data.M_abs / N) << <span class="charliteral">','</span></div>
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<div class="line"><a id="l00182" name="l00182"></a><span class="lineno"> 182</span> << scientific_format(E_var / (temp * temp)) << <span class="charliteral">','</span></div>
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<div class="line"><a id="l00183" name="l00183"></a><span class="lineno"> 183</span> << scientific_format(M_var / temp) << <span class="charliteral">'\n'</span>;</div>
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<div class="line"><a id="l00184" name="l00184"></a><span class="lineno"> 184</span> }</div>
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<div class="line"><a id="l00185" name="l00185"></a><span class="lineno"> 185</span> ofile.close();</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="ttc" id="aclassIsingModel_html"><div class="ttname"><a href="classIsingModel.html">IsingModel</a></div><div class="ttdoc">The Ising model in 2 dimensions.</div><div class="ttdef"><b>Definition:</b> <a href="IsingModel_8hpp_source.html#l00037">IsingModel.hpp:37</a></div></div>
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<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#l00096">IsingModel.cpp:96</a></div></div>
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<div class="ttc" id="aclassdata__t_html"><div class="ttname"><a href="classdata__t.html">data_t</a></div><div class="ttdef"><b>Definition:</b> <a href="data__type_8hpp_source.html#l00018">data_type.hpp:18</a></div></div>
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<div class="ttc" id="amonte__carlo_8cpp_html_a8f8d4c5e032ed8565a3ac518b32c6aed"><div class="ttname"><a href="monte__carlo_8cpp.html#a8f8d4c5e032ed8565a3ac518b32c6aed">monte_carlo_serial</a></div><div class="ttdeci">data_t monte_carlo_serial(int L, double T, int cycles)</div><div class="ttdoc">Execute the Metropolis algorithm for a certain amount of Monte Carlo cycles.</div><div class="ttdef"><b>Definition:</b> <a href="monte__carlo_8cpp_source.html#l00111">monte_carlo.cpp:111</a></div></div>
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<div class="ttc" id="amonte__carlo_8cpp_html_ac97d0de27f2f0d50fc6ecf3a79f32826"><div class="ttname"><a href="monte__carlo_8cpp.html#ac97d0de27f2f0d50fc6ecf3a79f32826">monte_carlo_progression</a></div><div class="ttdeci">void monte_carlo_progression(double T, int L, int cycles, const std::string filename)</div><div class="ttdoc">Write the expected values for each Monte Carlo cycles to file.</div><div class="ttdef"><b>Definition:</b> <a href="monte__carlo_8cpp_source.html#l00017">monte_carlo.cpp:17</a></div></div>
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<div class="ttc" id="amonte__carlo_8cpp_html_acc34e2049a5030874f6f548f3adab958"><div class="ttname"><a href="monte__carlo_8cpp.html#acc34e2049a5030874f6f548f3adab958">monte_carlo_parallel</a></div><div class="ttdeci">data_t monte_carlo_parallel(int L, double T, int cycles)</div><div class="ttdoc">Execute the Metropolis algorithm for a certain amount of Monte Carlo cycles in parallel.</div><div class="ttdef"><b>Definition:</b> <a href="monte__carlo_8cpp_source.html#l00128">monte_carlo.cpp:128</a></div></div>
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<div class="ttc" id="amonte__carlo_8hpp_html"><div class="ttname"><a href="monte__carlo_8hpp.html">monte_carlo.hpp</a></div><div class="ttdoc">Functions for monte carlo simulations.</div></div>
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<div class="ttc" id="amonte__carlo_8hpp_html_a2dfe843fbb80e10a763f3260131a148e"><div class="ttname"><a href="monte__carlo_8hpp.html#a2dfe843fbb80e10a763f3260131a148e">phase_transition</a></div><div class="ttdeci">void phase_transition(int L, double start_T, double end_T, int points_T, std::function< data_t(int, double, int)> monte_carlo, std::string outfile)</div><div class="ttdoc">Perform the MCMC algorithm using a range of temperatures.</div><div class="ttdef"><b>Definition:</b> <a href="monte__carlo_8cpp_source.html#l00156">monte_carlo.cpp:156</a></div></div>
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<div class="ttc" id="amonte__carlo_8hpp_html_a962f704ab35208bf6541eb3b707a9559"><div class="ttname"><a href="monte__carlo_8hpp.html#a962f704ab35208bf6541eb3b707a9559">pd_estimate</a></div><div class="ttdeci">void pd_estimate(double T, int L, int cycles, const std::string filename)</div><div class="ttdoc">Estimate the probability distribution for the energy.</div><div class="ttdef"><b>Definition:</b> <a href="monte__carlo_8cpp_source.html#l00085">monte_carlo.cpp:85</a></div></div>
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