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<div id="projectbrief">Simulate the change in energy and magnetization in a ferro magnet</div>
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<div class="headertitle"><div class="title">monte_carlo.hpp File Reference</div></div>
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<p>Functions for monte carlo simulations.
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &quot;<a class="el" href="IsingModel_8hpp_source.html">IsingModel.hpp</a>&quot;</code><br />
<code>#include &quot;<a class="el" href="data__type_8hpp_source.html">data_type.hpp</a>&quot;</code><br />
<code>#include &quot;<a class="el" href="utils_8hpp_source.html">utils.hpp</a>&quot;</code><br />
<code>#include &lt;functional&gt;</code><br />
<code>#include &lt;string&gt;</code><br />
<code>#include &lt;omp.h&gt;</code><br />
</div>
<p><a href="monte__carlo_8hpp_source.html">Go to the source code of this file.</a></p>
<table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="define-members" name="define-members"></a>
Macros</h2></td></tr>
<tr class="memitem:a362b5ad7de095387fcbc573632a19cbf"><td class="memItemLeft" align="right" valign="top">#define&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="monte__carlo_8hpp.html#a362b5ad7de095387fcbc573632a19cbf">BURN_IN_TIME</a>&#160;&#160;&#160;5000</td></tr>
<tr class="separator:a362b5ad7de095387fcbc573632a19cbf"><td class="memSeparator" colspan="2">&#160;</td></tr>
</table><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="func-members" name="func-members"></a>
Functions</h2></td></tr>
<tr class="memitem:aa8b4fc86b26f0e3e253ba5556d2d14dc"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="monte__carlo_8hpp.html#aa8b4fc86b26f0e3e253ba5556d2d14dc">test_2x2_lattice</a> (double tol, int max_cycles)</td></tr>
<tr class="memdesc:aa8b4fc86b26f0e3e253ba5556d2d14dc"><td class="mdescLeft">&#160;</td><td class="mdescRight">Test numerical data with analytical data. <br /></td></tr>
<tr class="separator:aa8b4fc86b26f0e3e253ba5556d2d14dc"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ac97d0de27f2f0d50fc6ecf3a79f32826"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="monte__carlo_8hpp.html#ac97d0de27f2f0d50fc6ecf3a79f32826">monte_carlo_progression</a> (double T, int L, int cycles, const std::string filename)</td></tr>
<tr class="memdesc:ac97d0de27f2f0d50fc6ecf3a79f32826"><td class="mdescLeft">&#160;</td><td class="mdescRight">Write the expected values for each Monte Carlo cycles to file. <br /></td></tr>
<tr class="separator:ac97d0de27f2f0d50fc6ecf3a79f32826"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a89ddd777796c65eb2b289af11fc0ce09"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="monte__carlo_8hpp.html#a89ddd777796c65eb2b289af11fc0ce09">monte_carlo_progression</a> (double T, int L, int cycles, int value, const std::string filename)</td></tr>
<tr class="memdesc:a89ddd777796c65eb2b289af11fc0ce09"><td class="mdescLeft">&#160;</td><td class="mdescRight">Write the expected values for each Monte Carlo cycles to file. <br /></td></tr>
<tr class="separator:a89ddd777796c65eb2b289af11fc0ce09"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a962f704ab35208bf6541eb3b707a9559"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="monte__carlo_8hpp.html#a962f704ab35208bf6541eb3b707a9559">pd_estimate</a> (double T, int L, int cycles, const std::string filename)</td></tr>
<tr class="memdesc:a962f704ab35208bf6541eb3b707a9559"><td class="mdescLeft">&#160;</td><td class="mdescRight">Estimate the probability distribution for the energy. <br /></td></tr>
<tr class="separator:a962f704ab35208bf6541eb3b707a9559"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a8f8d4c5e032ed8565a3ac518b32c6aed"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classdata__t.html">data_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="monte__carlo_8hpp.html#a8f8d4c5e032ed8565a3ac518b32c6aed">monte_carlo_serial</a> (int L, double T, int cycles)</td></tr>
<tr class="memdesc:a8f8d4c5e032ed8565a3ac518b32c6aed"><td class="mdescLeft">&#160;</td><td class="mdescRight">Execute the Metropolis algorithm for a certain amount of Monte Carlo cycles. <br /></td></tr>
<tr class="separator:a8f8d4c5e032ed8565a3ac518b32c6aed"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:acc34e2049a5030874f6f548f3adab958"><td class="memItemLeft" align="right" valign="top"><a class="el" href="classdata__t.html">data_t</a>&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="monte__carlo_8hpp.html#acc34e2049a5030874f6f548f3adab958">monte_carlo_parallel</a> (int L, double T, int cycles)</td></tr>
<tr class="memdesc:acc34e2049a5030874f6f548f3adab958"><td class="mdescLeft">&#160;</td><td class="mdescRight">Execute the Metropolis algorithm for a certain amount of Monte Carlo cycles in parallel. <br /></td></tr>
<tr class="separator:acc34e2049a5030874f6f548f3adab958"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a2dfe843fbb80e10a763f3260131a148e"><td class="memItemLeft" align="right" valign="top">void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="monte__carlo_8hpp.html#a2dfe843fbb80e10a763f3260131a148e">phase_transition</a> (int L, double start_T, double end_T, int points_T, std::function&lt; <a class="el" href="classdata__t.html">data_t</a>(int, double, int)&gt; monte_carlo, std::string outfile)</td></tr>
<tr class="memdesc:a2dfe843fbb80e10a763f3260131a148e"><td class="mdescLeft">&#160;</td><td class="mdescRight">Perform the MCMC algorithm using a range of temperatures. <br /></td></tr>
<tr class="separator:a2dfe843fbb80e10a763f3260131a148e"><td class="memSeparator" colspan="2">&#160;</td></tr>
</table>
<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p>Functions for monte carlo simulations. </p>
<dl class="section author"><dt>Author</dt><dd>Cory Alexander Balaton (coryab) </dd>
<dd>
Janita Ovidie Sandtrøen Willumsen (janitaws)</dd></dl>
<dl class="section version"><dt>Version</dt><dd>1.0</dd></dl>
<dl class="bug"><dt><b><a class="el" href="bug.html#_bug000004">Bug:</a></b></dt><dd>No known bugs </dd></dl>
<p class="definition">Definition in file <a class="el" href="monte__carlo_8hpp_source.html">monte_carlo.hpp</a>.</p>
</div><h2 class="groupheader">Macro Definition Documentation</h2>
<a id="a362b5ad7de095387fcbc573632a19cbf" name="a362b5ad7de095387fcbc573632a19cbf"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a362b5ad7de095387fcbc573632a19cbf">&#9670;&#160;</a></span>BURN_IN_TIME</h2>
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<table class="memname">
<tr>
<td class="memname">#define BURN_IN_TIME&#160;&#160;&#160;5000</td>
</tr>
</table>
</div><div class="memdoc">
<p class="definition">Definition at line <a class="el" href="monte__carlo_8hpp_source.html#l00024">24</a> of file <a class="el" href="monte__carlo_8hpp_source.html">monte_carlo.hpp</a>.</p>
</div>
</div>
<h2 class="groupheader">Function Documentation</h2>
<a id="acc34e2049a5030874f6f548f3adab958" name="acc34e2049a5030874f6f548f3adab958"></a>
<h2 class="memtitle"><span class="permalink"><a href="#acc34e2049a5030874f6f548f3adab958">&#9670;&#160;</a></span>monte_carlo_parallel()</h2>
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<tr>
<td class="memname"><a class="el" href="classdata__t.html">data_t</a> monte_carlo_parallel </td>
<td>(</td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>L</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>T</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>cycles</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Execute the Metropolis algorithm for a certain amount of Monte Carlo cycles in parallel. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">L</td><td>The size of the lattice </td></tr>
<tr><td class="paramname">T</td><td>The Temperature for the Ising model </td></tr>
<tr><td class="paramname">cycles</td><td>The amount of Monte Carlo cycles to do</td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd><a class="el" href="classdata__t.html">data_t</a> </dd></dl>
<p class="definition">Definition at line <a class="el" href="monte__carlo_8cpp_source.html#l00128">128</a> of file <a class="el" href="monte__carlo_8cpp_source.html">monte_carlo.cpp</a>.</p>
</div>
</div>
<a id="ac97d0de27f2f0d50fc6ecf3a79f32826" name="ac97d0de27f2f0d50fc6ecf3a79f32826"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ac97d0de27f2f0d50fc6ecf3a79f32826">&#9670;&#160;</a></span>monte_carlo_progression() <span class="overload">[1/2]</span></h2>
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<div class="memproto">
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<td class="memname">void monte_carlo_progression </td>
<td>(</td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>T</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>L</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>cycles</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const std::string&#160;</td>
<td class="paramname"><em>filename</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Write the expected values for each Monte Carlo cycles to file. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">T</td><td>Temperature </td></tr>
<tr><td class="paramname">L</td><td>The size of the lattice </td></tr>
<tr><td class="paramname">cycles</td><td>The amount of Monte Carlo cycles to do </td></tr>
<tr><td class="paramname">filename</td><td>The file to write to </td></tr>
</table>
</dd>
</dl>
<p class="definition">Definition at line <a class="el" href="monte__carlo_8cpp_source.html#l00017">17</a> of file <a class="el" href="monte__carlo_8cpp_source.html">monte_carlo.cpp</a>.</p>
</div>
</div>
<a id="a89ddd777796c65eb2b289af11fc0ce09" name="a89ddd777796c65eb2b289af11fc0ce09"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a89ddd777796c65eb2b289af11fc0ce09">&#9670;&#160;</a></span>monte_carlo_progression() <span class="overload">[2/2]</span></h2>
<div class="memitem">
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<td class="memname">void monte_carlo_progression </td>
<td>(</td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>T</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>L</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>cycles</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>value</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const std::string&#160;</td>
<td class="paramname"><em>filename</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Write the expected values for each Monte Carlo cycles to file. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">T</td><td>Temperature </td></tr>
<tr><td class="paramname">L</td><td>The size of the lattice </td></tr>
<tr><td class="paramname">cycles</td><td>The amount of Monte Carlo cycles to do </td></tr>
<tr><td class="paramname">value</td><td>The value to set the elements in the lattice </td></tr>
<tr><td class="paramname">filename</td><td>The file to write to </td></tr>
</table>
</dd>
</dl>
<p class="definition">Definition at line <a class="el" href="monte__carlo_8cpp_source.html#l00051">51</a> of file <a class="el" href="monte__carlo_8cpp_source.html">monte_carlo.cpp</a>.</p>
</div>
</div>
<a id="a8f8d4c5e032ed8565a3ac518b32c6aed" name="a8f8d4c5e032ed8565a3ac518b32c6aed"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a8f8d4c5e032ed8565a3ac518b32c6aed">&#9670;&#160;</a></span>monte_carlo_serial()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname"><a class="el" href="classdata__t.html">data_t</a> monte_carlo_serial </td>
<td>(</td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>L</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>T</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>cycles</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Execute the Metropolis algorithm for a certain amount of Monte Carlo cycles. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">L</td><td>The size of the lattice </td></tr>
<tr><td class="paramname">T</td><td>The Temperature for the Ising model </td></tr>
<tr><td class="paramname">cycles</td><td>The amount of Monte Carlo cycles to do</td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd><a class="el" href="classdata__t.html">data_t</a> </dd></dl>
<p class="definition">Definition at line <a class="el" href="monte__carlo_8cpp_source.html#l00111">111</a> of file <a class="el" href="monte__carlo_8cpp_source.html">monte_carlo.cpp</a>.</p>
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<a id="a962f704ab35208bf6541eb3b707a9559" name="a962f704ab35208bf6541eb3b707a9559"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a962f704ab35208bf6541eb3b707a9559">&#9670;&#160;</a></span>pd_estimate()</h2>
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<div class="memproto">
<table class="memname">
<tr>
<td class="memname">void pd_estimate </td>
<td>(</td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>T</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>L</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>cycles</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const std::string&#160;</td>
<td class="paramname"><em>filename</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Estimate the probability distribution for the energy. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">T</td><td>The temperature of the Ising model </td></tr>
<tr><td class="paramname">L</td><td>The size of the lattice </td></tr>
<tr><td class="paramname">cycles</td><td>The amount of Monte Carlo cycles to do </td></tr>
<tr><td class="paramname">filename</td><td>The file to write to </td></tr>
</table>
</dd>
</dl>
<p class="definition">Definition at line <a class="el" href="monte__carlo_8cpp_source.html#l00085">85</a> of file <a class="el" href="monte__carlo_8cpp_source.html">monte_carlo.cpp</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#a2dfe843fbb80e10a763f3260131a148e">&#9670;&#160;</a></span>phase_transition()</h2>
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<td class="memname">void phase_transition </td>
<td>(</td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>L</em>, </td>
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<td class="paramtype">double&#160;</td>
<td class="paramname"><em>start_T</em>, </td>
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<td class="paramtype">double&#160;</td>
<td class="paramname"><em>end_T</em>, </td>
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<td class="paramtype">int&#160;</td>
<td class="paramname"><em>points_T</em>, </td>
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<td class="paramtype">std::function&lt; <a class="el" href="classdata__t.html">data_t</a>(int, double, int)&gt;&#160;</td>
<td class="paramname"><em>monte_carlo</em>, </td>
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<td class="paramtype">std::string&#160;</td>
<td class="paramname"><em>outfile</em>&#160;</td>
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<p>Perform the MCMC algorithm using a range of temperatures. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">L</td><td>The size of the lattice </td></tr>
<tr><td class="paramname">start_T</td><td>The start temperature </td></tr>
<tr><td class="paramname">end_T</td><td>The end temperature </td></tr>
<tr><td class="paramname">point_T</td><td>The amount of point to measure </td></tr>
<tr><td class="paramname">monte_carlo</td><td>Which Monte Carlo implementation to use </td></tr>
<tr><td class="paramname">outfile</td><td>The file to write the data to </td></tr>
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<p class="definition">Definition at line <a class="el" href="monte__carlo_8cpp_source.html#l00156">156</a> of file <a class="el" href="monte__carlo_8cpp_source.html">monte_carlo.cpp</a>.</p>
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<h2 class="memtitle"><span class="permalink"><a href="#aa8b4fc86b26f0e3e253ba5556d2d14dc">&#9670;&#160;</a></span>test_2x2_lattice()</h2>
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<td class="memname">int test_2x2_lattice </td>
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<td class="paramname"><em>max_cycles</em>&#160;</td>
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<p>Test numerical data with analytical data. </p>
<dl class="params"><dt>Parameters</dt><dd>
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<tr><td class="paramname">tol</td><td>The tolerance between the analytical and numerical solution. </td></tr>
<tr><td class="paramname">max_cycles</td><td>The max number of Monte Carlo cycles.</td></tr>
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<p>return int </p>
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