2022-09-28 18:04:21 +02:00
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2022-11-16 22:23:04 +01:00
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2022-09-28 18:04:21 +02:00
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<title>Slater Determinant</title>
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/**
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*
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* @source: org-info.js
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*
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* @licstart The following is the entire license notice for the
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* JavaScript code in org-info.js.
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*
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* Copyright (C) 2012-2019 Free Software Foundation, Inc.
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*
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*
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* The JavaScript code in this tag is free software: you can
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* redistribute it and/or modify it under the terms of the GNU
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* General Public License (GNU GPL) as published by the Free Software
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* Foundation, either version 3 of the License, or (at your option)
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* any later version. The code is distributed WITHOUT ANY WARRANTY;
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* without even the implied warranty of MERCHANTABILITY or FITNESS
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* FOR A PARTICULAR PURPOSE. See the GNU GPL for more details.
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*
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* As additional permission under GNU GPL version 3 section 7, you
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* may distribute non-source (e.g., minimized or compacted) forms of
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* that code without the copy of the GNU GPL normally required by
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* section 4, provided you include this license notice and a URL
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* through which recipients can access the Corresponding Source.
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*
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* @licend The above is the entire license notice
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* for the JavaScript code in org-info.js.
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*
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*/
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<script type="text/javascript">
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/*
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@licstart The following is the entire license notice for the
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JavaScript code in this tag.
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Copyright (C) 2012-2019 Free Software Foundation, Inc.
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The JavaScript code in this tag is free software: you can
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redistribute it and/or modify it under the terms of the GNU
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General Public License (GNU GPL) as published by the Free Software
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Foundation, either version 3 of the License, or (at your option)
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any later version. The code is distributed WITHOUT ANY WARRANTY;
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without even the implied warranty of MERCHANTABILITY or FITNESS
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FOR A PARTICULAR PURPOSE. See the GNU GPL for more details.
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As additional permission under GNU GPL version 3 section 7, you
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may distribute non-source (e.g., minimized or compacted) forms of
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that code without the copy of the GNU GPL normally required by
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section 4, provided you include this license notice and a URL
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through which recipients can access the Corresponding Source.
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@licend The above is the entire license notice
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for the JavaScript code in this tag.
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*/
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/*]]>*///-->
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</script>
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<script type="text/javascript">
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/*
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@licstart The following is the entire license notice for the
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JavaScript code in this tag.
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Copyright (C) 2012-2019 Free Software Foundation, Inc.
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The JavaScript code in this tag is free software: you can
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redistribute it and/or modify it under the terms of the GNU
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General Public License (GNU GPL) as published by the Free Software
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Foundation, either version 3 of the License, or (at your option)
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any later version. The code is distributed WITHOUT ANY WARRANTY;
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without even the implied warranty of MERCHANTABILITY or FITNESS
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FOR A PARTICULAR PURPOSE. See the GNU GPL for more details.
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As additional permission under GNU GPL version 3 section 7, you
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may distribute non-source (e.g., minimized or compacted) forms of
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that code without the copy of the GNU GPL normally required by
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section 4, provided you include this license notice and a URL
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through which recipients can access the Corresponding Source.
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@licend The above is the entire license notice
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for the JavaScript code in this tag.
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*/
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</script>
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</head>
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<body>
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<div id="org-div-home-and-up">
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<a accesskey="h" href=""> UP </a>
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<a accesskey="H" href="index.html"> HOME </a>
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</div><div id="content">
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<h1 class="title">Slater Determinant</h1>
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<div id="table-of-contents">
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<h2>Table of Contents</h2>
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<div id="text-table-of-contents">
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<ul>
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2022-11-16 22:23:04 +01:00
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<li><a href="#org53dbdae">1. Context</a>
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2022-09-28 18:04:21 +02:00
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<ul>
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2022-11-16 22:23:04 +01:00
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<li><a href="#orgf4a9264">1.1. Data structure</a></li>
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<li><a href="#org7f9e0dc">1.2. Access functions</a></li>
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<li><a href="#orgad9b793">1.3. Initialization functions</a></li>
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<li><a href="#orgedff99b">1.4. Fortran Interfaces</a></li>
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<li><a href="#orgc7cc78d">1.5. Test</a></li>
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2022-09-28 18:04:21 +02:00
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</ul>
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</li>
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2022-11-16 22:23:04 +01:00
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<li><a href="#org367875b">2. Computation</a>
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2022-09-28 18:04:21 +02:00
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<ul>
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2022-11-16 22:23:04 +01:00
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<li><a href="#orgab0c3ad">2.1. Determinant matrix</a>
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2022-09-28 18:04:21 +02:00
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<ul>
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2022-11-16 22:23:04 +01:00
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<li><a href="#orgfdd42c0">2.1.1. Get</a></li>
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<li><a href="#orgf45761b">2.1.2. Provide</a></li>
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<li><a href="#org7714ad1">2.1.3. Compute alpha</a></li>
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<li><a href="#orgb05bb14">2.1.4. Compute beta</a></li>
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<li><a href="#org8e535be">2.1.5. Test</a></li>
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2022-09-28 18:04:21 +02:00
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</ul>
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</li>
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2022-11-16 22:23:04 +01:00
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<li><a href="#org9d9baf7">2.2. Inverse of Determinant matrix</a>
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2022-09-28 18:04:21 +02:00
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<ul>
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2022-11-16 22:23:04 +01:00
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<li><a href="#org90dd98e">2.2.1. Get</a></li>
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<li><a href="#org74a50bd">2.2.2. Provide</a></li>
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<li><a href="#orgd94287f">2.2.3. Compute alpha</a></li>
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<li><a href="#orgb6f2a9e">2.2.4. Compute beta</a></li>
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2022-09-28 18:04:21 +02:00
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</ul>
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</li>
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</ul>
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</li>
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</ul>
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</div>
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</div>
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2022-11-16 22:23:04 +01:00
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<div id="outline-container-org53dbdae" class="outline-2">
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<h2 id="org53dbdae"><span class="section-number-2">1</span> Context</h2>
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2022-09-28 18:04:21 +02:00
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<div class="outline-text-2" id="text-1">
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<p>
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The following arrays are stored in the context:
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</p>
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<table border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides">
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<colgroup>
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<col class="org-left" />
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<col class="org-left" />
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</colgroup>
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<tbody>
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<tr>
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<td class="org-left"><code>type</code></td>
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<td class="org-left"><code>char</code></td>
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<td class="org-left">α (<code>'A'</code>) or β (<code>'B'</code>) determinant</td>
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</tr>
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<tr>
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<td class="org-left"><code>det_num_alpha</code></td>
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<td class="org-left"><code>int64_t</code></td>
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<td class="org-left">Number of determinants per walker</td>
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</tr>
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<tr>
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<td class="org-left"><code>det_num_beta</code></td>
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<td class="org-left"><code>int64_t</code></td>
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<td class="org-left">Number of determinants per walker</td>
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</tr>
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<tr>
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<td class="org-left"><code>mo_index_alpha</code></td>
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<td class="org-left"><code>mo_index[det_num_alpha][walker.num][alpha_num]</code></td>
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<td class="org-left">Index of MOs for each walker</td>
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</tr>
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<tr>
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<td class="org-left"><code>mo_index_beta</code></td>
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<td class="org-left"><code>mo_index[det_num_beta][walker.num][beta_num]</code></td>
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<td class="org-left">Index of MOs for each walker</td>
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</tr>
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</tbody>
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</table>
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<p>
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Computed data:
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</p>
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<table border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides">
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<colgroup>
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<col class="org-left" />
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<col class="org-left" />
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<col class="org-left" />
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</colgroup>
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<thead>
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<tr>
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<th scope="col" class="org-left"><code>up_num</code></th>
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<th scope="col" class="org-left"><code>int64_t</code></th>
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<th scope="col" class="org-left">Number of number of α electrons</th>
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</tr>
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<tr>
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<th scope="col" class="org-left"><code>donwn_num</code></th>
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<th scope="col" class="org-left"><code>int64_t</code></th>
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<th scope="col" class="org-left">Number of number of β electrons</th>
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</tr>
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<tr>
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<th scope="col" class="org-left"><code>det_value_alpha</code></th>
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<th scope="col" class="org-left"><code>[det_num_alpha][walker.num]</code></th>
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<th scope="col" class="org-left">The α slater matrix for each determinant of each walker.</th>
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</tr>
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<tr>
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<th scope="col" class="org-left"><code>det_value_alpha_date</code></th>
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<th scope="col" class="org-left"><code>uint64_t</code></th>
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<th scope="col" class="org-left">Date of The α slater matrix for each determinant of each walker.</th>
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</tr>
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<tr>
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<th scope="col" class="org-left"><code>det_value_beta</code></th>
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<th scope="col" class="org-left"><code>[det_num_beta][walker.num]</code></th>
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<th scope="col" class="org-left">The β slater matrix for each determinant of each walker.</th>
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</tr>
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<tr>
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<th scope="col" class="org-left"><code>det_value_beta_date</code></th>
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<th scope="col" class="org-left"><code>uint64_t</code></th>
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<th scope="col" class="org-left">Date of The β slater matrix for each determinant of each walker.</th>
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</tr>
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<tr>
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<th scope="col" class="org-left"><code>det_adj_matrix_alpha</code></th>
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<th scope="col" class="org-left"><code>[det_num_alpha][walker.num][alpha_num][alpha_num]</code></th>
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<th scope="col" class="org-left">Adjoint of the α slater matrix for each determinant of each walker.</th>
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</tr>
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<tr>
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<th scope="col" class="org-left"><code>det_adj_matrix_alpha_date</code></th>
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<th scope="col" class="org-left"><code>uint64_t</code></th>
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<th scope="col" class="org-left">Date of the Adjoint of the α slater matrix for each determinant of each walker.</th>
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</tr>
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<tr>
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<th scope="col" class="org-left"><code>det_adj_matrix_beta</code></th>
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<th scope="col" class="org-left"><code>[det_num_beta][walker.num][beta_num][beta_num]</code></th>
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<th scope="col" class="org-left">Adjoint of the β slater matrix for each determinant of each walker.</th>
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</tr>
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<tr>
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<th scope="col" class="org-left"><code>det_adj_matrix_beta_date</code></th>
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<th scope="col" class="org-left"><code>uint64_t</code></th>
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<th scope="col" class="org-left">Date of the Adjoint of the β slater matrix for each determinant of each walker.</th>
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</tr>
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</thead>
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<tbody>
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<tr>
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<td class="org-left"><code>det_vgl_alpha</code></td>
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<td class="org-left"><code>[5][det_num_alpha][walker.num][alpha_num][alpha_num]</code></td>
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<td class="org-left">Value, gradients, Laplacian of Dᵅᵢⱼ(x) at electron positions</td>
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</tr>
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<tr>
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<td class="org-left"><code>det_vgl_alpha_date</code></td>
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<td class="org-left"><code>uint64_t</code></td>
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<td class="org-left">Late modification date of Value, gradients, Laplacian of the MOs at electron positions</td>
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</tr>
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<tr>
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<td class="org-left"><code>det_vgl_beta</code></td>
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<td class="org-left"><code>[5][det_num_beta][walker.num][beta_num][beta_num]</code></td>
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<td class="org-left">Value, gradients, Laplacian of Dᵝᵢⱼ(x) at electron positions</td>
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</tr>
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<tr>
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<td class="org-left"><code>det_vgl_beta_date</code></td>
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<td class="org-left"><code>uint64_t</code></td>
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<td class="org-left">Late modification date of Value, gradients, Laplacian of the MOs at electron positions</td>
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</tr>
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<tr>
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<td class="org-left"><code>det_inv_matrix_alpha</code></td>
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<td class="org-left"><code>[det_num_alpha][walker.num][alpha_num][alpha_num]</code></td>
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<td class="org-left">Inverse of the α electron slater matrix for each determinant of each walker.</td>
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</tr>
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<tr>
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<td class="org-left"><code>det_inv_matrix_alpha_date</code></td>
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<td class="org-left"><code>uint64_t</code></td>
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<td class="org-left">Date for the Inverse of the α electron slater matrix for each determinant of each walker.</td>
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</tr>
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<tr>
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<td class="org-left"><code>det_inv_matrix_beta</code></td>
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<td class="org-left"><code>[det_num_beta][walker.num][beta_num][beta_num]</code></td>
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<td class="org-left">Inverse of the β electron slater matrix for each determinant of each walker.</td>
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</tr>
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<tr>
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<td class="org-left"><code>det_inv_matrix_beta_date</code></td>
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<td class="org-left"><code>uint64_t</code></td>
|
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|
|
<td class="org-left">Date for the Inverse of the β electron slater matrix for each determinant of each walker.</td>
|
|
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</tr>
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</tbody>
|
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</table>
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</div>
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|
2022-11-16 22:23:04 +01:00
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<div id="outline-container-orgf4a9264" class="outline-3">
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<h3 id="orgf4a9264"><span class="section-number-3">1.1</span> Data structure</h3>
|
2022-09-28 18:04:21 +02:00
|
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|
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<div class="outline-text-3" id="text-1-1">
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<div class="org-src-container">
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<pre class="src src-c"><span style="color: #a020f0;">typedef</span> <span style="color: #a020f0;">struct</span> <span style="color: #228b22;">qmckl_determinant_struct</span> {
|
|
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|
<span style="color: #228b22;">char</span> <span style="color: #a0522d;">type</span>;
|
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|
<span style="color: #228b22;">int64_t</span> <span style="color: #a0522d;">det_num_alpha</span>;
|
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|
<span style="color: #228b22;">int64_t</span> <span style="color: #a0522d;">det_num_beta</span> ;
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|
<span style="color: #228b22;">int64_t</span> <span style="color: #a0522d;">up_num</span>;
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|
<span style="color: #228b22;">int64_t</span> <span style="color: #a0522d;">down_num</span>;
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|
<span style="color: #228b22;">int64_t</span>* <span style="color: #a0522d;">mo_index_alpha</span>;
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<span style="color: #228b22;">int64_t</span>* <span style="color: #a0522d;">mo_index_beta</span>;
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<span style="color: #228b22;">double</span> * <span style="color: #a0522d;">det_value_alpha</span>;
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<span style="color: #228b22;">double</span> * <span style="color: #a0522d;">det_value_beta</span>;
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<span style="color: #228b22;">double</span> * <span style="color: #a0522d;">det_vgl_alpha</span>;
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<span style="color: #228b22;">double</span> * <span style="color: #a0522d;">det_adj_matrix_alpha</span>;
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<span style="color: #228b22;">double</span> * <span style="color: #a0522d;">det_inv_matrix_alpha</span>;
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<span style="color: #228b22;">double</span> * <span style="color: #a0522d;">det_vgl_beta</span>;
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<span style="color: #228b22;">double</span> * <span style="color: #a0522d;">det_adj_matrix_beta</span>;
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<span style="color: #228b22;">double</span> * <span style="color: #a0522d;">det_inv_matrix_beta</span>;
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|
<span style="color: #228b22;">uint64_t</span> <span style="color: #a0522d;">det_value_alpha_date</span>;
|
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|
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|
<span style="color: #228b22;">uint64_t</span> <span style="color: #a0522d;">det_vgl_alpha_date</span>;
|
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|
<span style="color: #228b22;">uint64_t</span> <span style="color: #a0522d;">det_adj_matrix_alpha_date</span>;
|
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|
<span style="color: #228b22;">uint64_t</span> <span style="color: #a0522d;">det_inv_matrix_alpha_date</span>;
|
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|
<span style="color: #228b22;">uint64_t</span> <span style="color: #a0522d;">det_value_beta_date</span>;
|
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|
<span style="color: #228b22;">uint64_t</span> <span style="color: #a0522d;">det_vgl_beta_date</span>;
|
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|
<span style="color: #228b22;">uint64_t</span> <span style="color: #a0522d;">det_adj_matrix_beta_date</span>;
|
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|
<span style="color: #228b22;">uint64_t</span> <span style="color: #a0522d;">det_inv_matrix_beta_date</span>;
|
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|
<span style="color: #228b22;">int32_t</span> <span style="color: #a0522d;">uninitialized</span>;
|
|
|
|
|
<span style="color: #228b22;">bool</span> <span style="color: #a0522d;">provided</span>;
|
|
|
|
|
} <span style="color: #228b22;">qmckl_determinant_struct</span>;
|
|
|
|
|
</pre>
|
|
|
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|
</div>
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<p>
|
|
|
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|
The <code>uninitialized</code> integer contains one bit set to one for each
|
|
|
|
|
initialization function which has not been called. It becomes equal
|
|
|
|
|
to zero after all initialization functions have been called. The
|
|
|
|
|
struct is then initialized and <code>provided == true</code>.
|
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|
|
Some values are initialized by default, and are not concerned by
|
|
|
|
|
this mechanism.
|
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|
|
</p>
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<div class="org-src-container">
|
|
|
|
|
<pre class="src src-c"><span style="color: #228b22;">qmckl_exit_code</span> <span style="color: #0000ff;">qmckl_init_determinant</span>(<span style="color: #228b22;">qmckl_context</span> <span style="color: #a0522d;">context</span>);
|
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|
|
|
</pre>
|
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</div>
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|
<div class="org-src-container">
|
|
|
|
|
<pre class="src src-c"><span style="color: #228b22;">qmckl_exit_code</span> <span style="color: #0000ff;">qmckl_init_determinant</span>(<span style="color: #228b22;">qmckl_context</span> <span style="color: #a0522d;">context</span>) {
|
|
|
|
|
|
|
|
|
|
<span style="color: #a020f0;">if</span> (qmckl_context_check(context) == QMCKL_NULL_CONTEXT) {
|
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|
|
|
<span style="color: #a020f0;">return</span> <span style="color: #008b8b;">false</span>;
|
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|
|
|
}
|
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|
<span style="color: #228b22;">qmckl_context_struct</span>* <span style="color: #a020f0;">const</span> <span style="color: #a0522d;">ctx</span> = (<span style="color: #228b22;">qmckl_context_struct</span>*) context;
|
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|
|
|
assert (ctx != <span style="color: #008b8b;">NULL</span>);
|
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|
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|
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|
|
|
|
ctx->det.uninitialized = (1 << 5) - 1;
|
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|
|
|
|
|
|
|
<span style="color: #a020f0;">return</span> QMCKL_SUCCESS;
|
|
|
|
|
}
|
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|
|
|
</pre>
|
|
|
|
|
</div>
|
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|
|
</div>
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|
</div>
|
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|
2022-11-16 22:23:04 +01:00
|
|
|
|
<div id="outline-container-org7f9e0dc" class="outline-3">
|
|
|
|
|
<h3 id="org7f9e0dc"><span class="section-number-3">1.2</span> Access functions</h3>
|
2022-09-28 18:04:21 +02:00
|
|
|
|
<div class="outline-text-3" id="text-1-2">
|
|
|
|
|
<p>
|
|
|
|
|
When all the data for the slater determinants have been provided, the following
|
|
|
|
|
function returns <code>true</code>.
|
|
|
|
|
</p>
|
|
|
|
|
|
|
|
|
|
<div class="org-src-container">
|
|
|
|
|
<pre class="src src-c"><span style="color: #228b22;">bool</span> <span style="color: #0000ff;">qmckl_determinant_provided</span> (<span style="color: #a020f0;">const</span> <span style="color: #228b22;">qmckl_context</span> <span style="color: #a0522d;">context</span>);
|
|
|
|
|
</pre>
|
|
|
|
|
</div>
|
|
|
|
|
</div>
|
|
|
|
|
</div>
|
|
|
|
|
|
2022-11-16 22:23:04 +01:00
|
|
|
|
<div id="outline-container-orgad9b793" class="outline-3">
|
|
|
|
|
<h3 id="orgad9b793"><span class="section-number-3">1.3</span> Initialization functions</h3>
|
2022-09-28 18:04:21 +02:00
|
|
|
|
<div class="outline-text-3" id="text-1-3">
|
|
|
|
|
<p>
|
|
|
|
|
To set the basis set, all the following functions need to be
|
|
|
|
|
called.
|
|
|
|
|
</p>
|
|
|
|
|
|
|
|
|
|
<div class="org-src-container">
|
|
|
|
|
<pre class="src src-c"><span style="color: #228b22;">qmckl_exit_code</span> <span style="color: #0000ff;">qmckl_set_determinant_type</span> (<span style="color: #a020f0;">const</span> <span style="color: #228b22;">qmckl_context</span> <span style="color: #a0522d;">context</span>, <span style="color: #a020f0;">const</span> <span style="color: #228b22;">char</span> <span style="color: #a0522d;">t</span>);
|
|
|
|
|
<span style="color: #228b22;">qmckl_exit_code</span> <span style="color: #0000ff;">qmckl_set_determinant_det_num_alpha</span> (<span style="color: #a020f0;">const</span> <span style="color: #228b22;">qmckl_context</span> <span style="color: #a0522d;">context</span>, <span style="color: #a020f0;">const</span> <span style="color: #228b22;">int64_t</span> <span style="color: #a0522d;">det_num_alpha</span>);
|
|
|
|
|
<span style="color: #228b22;">qmckl_exit_code</span> <span style="color: #0000ff;">qmckl_set_determinant_det_num_beta</span> (<span style="color: #a020f0;">const</span> <span style="color: #228b22;">qmckl_context</span> <span style="color: #a0522d;">context</span>, <span style="color: #a020f0;">const</span> <span style="color: #228b22;">int64_t</span> <span style="color: #a0522d;">det_num_beta</span>);
|
2022-10-11 09:41:53 +02:00
|
|
|
|
<span style="color: #228b22;">qmckl_exit_code</span> <span style="color: #0000ff;">qmckl_set_determinant_mo_index_alpha</span> (<span style="color: #a020f0;">const</span> <span style="color: #228b22;">qmckl_context</span> <span style="color: #a0522d;">context</span>, <span style="color: #a020f0;">const</span> <span style="color: #228b22;">int64_t</span>* <span style="color: #a0522d;">mo_index_alpha</span>, <span style="color: #a020f0;">const</span> <span style="color: #228b22;">int64_t</span> <span style="color: #a0522d;">size_max</span>);
|
|
|
|
|
<span style="color: #228b22;">qmckl_exit_code</span> <span style="color: #0000ff;">qmckl_set_determinant_mo_index_beta</span> (<span style="color: #a020f0;">const</span> <span style="color: #228b22;">qmckl_context</span> <span style="color: #a0522d;">context</span>, <span style="color: #a020f0;">const</span> <span style="color: #228b22;">int64_t</span>* <span style="color: #a0522d;">mo_index_beta</span>, <span style="color: #a020f0;">const</span> <span style="color: #228b22;">int64_t</span> <span style="color: #a0522d;">size_max</span>);
|
2022-09-28 18:04:21 +02:00
|
|
|
|
</pre>
|
|
|
|
|
</div>
|
|
|
|
|
|
|
|
|
|
<p>
|
|
|
|
|
When the basis set is completely entered, other data structures are
|
|
|
|
|
computed to accelerate the calculations.
|
|
|
|
|
</p>
|
|
|
|
|
</div>
|
|
|
|
|
</div>
|
|
|
|
|
|
2022-11-16 22:23:04 +01:00
|
|
|
|
<div id="outline-container-orgedff99b" class="outline-3">
|
|
|
|
|
<h3 id="orgedff99b"><span class="section-number-3">1.4</span> Fortran Interfaces</h3>
|
2022-09-28 18:04:21 +02:00
|
|
|
|
</div>
|
2022-11-16 22:23:04 +01:00
|
|
|
|
<div id="outline-container-orgc7cc78d" class="outline-3">
|
|
|
|
|
<h3 id="orgc7cc78d"><span class="section-number-3">1.5</span> Test</h3>
|
2022-09-28 18:04:21 +02:00
|
|
|
|
</div>
|
|
|
|
|
</div>
|
2022-11-16 22:23:04 +01:00
|
|
|
|
<div id="outline-container-org367875b" class="outline-2">
|
|
|
|
|
<h2 id="org367875b"><span class="section-number-2">2</span> Computation</h2>
|
2022-09-28 18:04:21 +02:00
|
|
|
|
<div class="outline-text-2" id="text-2">
|
|
|
|
|
</div>
|
2022-11-16 22:23:04 +01:00
|
|
|
|
<div id="outline-container-orgab0c3ad" class="outline-3">
|
|
|
|
|
<h3 id="orgab0c3ad"><span class="section-number-3">2.1</span> Determinant matrix</h3>
|
2022-09-28 18:04:21 +02:00
|
|
|
|
<div class="outline-text-3" id="text-2-1">
|
|
|
|
|
</div>
|
|
|
|
|
|
2022-11-16 22:23:04 +01:00
|
|
|
|
<div id="outline-container-orgfdd42c0" class="outline-4">
|
|
|
|
|
<h4 id="orgfdd42c0"><span class="section-number-4">2.1.1</span> Get</h4>
|
2022-09-28 18:04:21 +02:00
|
|
|
|
<div class="outline-text-4" id="text-2-1-1">
|
|
|
|
|
<div class="org-src-container">
|
|
|
|
|
<pre class="src src-c"><span style="color: #228b22;">qmckl_exit_code</span> <span style="color: #0000ff;">qmckl_get_det_vgl_alpha</span>(<span style="color: #228b22;">qmckl_context</span> <span style="color: #a0522d;">context</span>, <span style="color: #228b22;">double</span>* <span style="color: #a020f0;">const</span> <span style="color: #a0522d;">det_vgl_alpha</span>);
|
|
|
|
|
<span style="color: #228b22;">qmckl_exit_code</span> <span style="color: #0000ff;">qmckl_get_det_vgl_beta</span>(<span style="color: #228b22;">qmckl_context</span> <span style="color: #a0522d;">context</span>, <span style="color: #228b22;">double</span>* <span style="color: #a020f0;">const</span> <span style="color: #a0522d;">det_vgl_beta</span>);
|
|
|
|
|
</pre>
|
|
|
|
|
</div>
|
|
|
|
|
</div>
|
|
|
|
|
</div>
|
|
|
|
|
|
2022-11-16 22:23:04 +01:00
|
|
|
|
<div id="outline-container-orgf45761b" class="outline-4">
|
|
|
|
|
<h4 id="orgf45761b"><span class="section-number-4">2.1.2</span> Provide</h4>
|
2022-09-28 18:04:21 +02:00
|
|
|
|
</div>
|
|
|
|
|
|
2022-11-16 22:23:04 +01:00
|
|
|
|
<div id="outline-container-org7714ad1" class="outline-4">
|
|
|
|
|
<h4 id="org7714ad1"><span class="section-number-4">2.1.3</span> Compute alpha</h4>
|
2022-09-28 18:04:21 +02:00
|
|
|
|
<div class="outline-text-4" id="text-2-1-3">
|
2022-11-16 22:23:04 +01:00
|
|
|
|
<table id="org847b055" border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides">
|
2022-09-28 18:04:21 +02:00
|
|
|
|
|
|
|
|
|
|
|
|
|
|
<colgroup>
|
|
|
|
|
<col class="org-left" />
|
|
|
|
|
|
|
|
|
|
<col class="org-left" />
|
|
|
|
|
|
|
|
|
|
<col class="org-left" />
|
|
|
|
|
|
|
|
|
|
<col class="org-left" />
|
|
|
|
|
</colgroup>
|
|
|
|
|
<thead>
|
|
|
|
|
<tr>
|
|
|
|
|
<th scope="col" class="org-left">Variable</th>
|
|
|
|
|
<th scope="col" class="org-left">Type</th>
|
|
|
|
|
<th scope="col" class="org-left">In/Out</th>
|
|
|
|
|
<th scope="col" class="org-left">Description</th>
|
|
|
|
|
</tr>
|
|
|
|
|
</thead>
|
|
|
|
|
<tbody>
|
|
|
|
|
<tr>
|
|
|
|
|
<td class="org-left"><code>context</code></td>
|
|
|
|
|
<td class="org-left"><code>qmckl_context</code></td>
|
|
|
|
|
<td class="org-left">in</td>
|
|
|
|
|
<td class="org-left">Global state</td>
|
|
|
|
|
</tr>
|
|
|
|
|
|
|
|
|
|
<tr>
|
|
|
|
|
<td class="org-left"><code>det_num_alpha</code></td>
|
|
|
|
|
<td class="org-left"><code>int64_t</code></td>
|
|
|
|
|
<td class="org-left">in</td>
|
|
|
|
|
<td class="org-left">Number of determinants</td>
|
|
|
|
|
</tr>
|
|
|
|
|
|
|
|
|
|
<tr>
|
|
|
|
|
<td class="org-left"><code>walk_num</code></td>
|
|
|
|
|
<td class="org-left"><code>int64_t</code></td>
|
|
|
|
|
<td class="org-left">in</td>
|
|
|
|
|
<td class="org-left">Number of walkers</td>
|
|
|
|
|
</tr>
|
|
|
|
|
|
|
|
|
|
<tr>
|
|
|
|
|
<td class="org-left"><code>alpha_num</code></td>
|
|
|
|
|
<td class="org-left"><code>int64_t</code></td>
|
|
|
|
|
<td class="org-left">in</td>
|
|
|
|
|
<td class="org-left">Number of electrons</td>
|
|
|
|
|
</tr>
|
|
|
|
|
|
|
|
|
|
<tr>
|
|
|
|
|
<td class="org-left"><code>beta_num</code></td>
|
|
|
|
|
<td class="org-left"><code>int64_t</code></td>
|
|
|
|
|
<td class="org-left">in</td>
|
|
|
|
|
<td class="org-left">Number of electrons</td>
|
|
|
|
|
</tr>
|
|
|
|
|
|
|
|
|
|
<tr>
|
|
|
|
|
<td class="org-left"><code>elec_num</code></td>
|
|
|
|
|
<td class="org-left"><code>int64_t</code></td>
|
|
|
|
|
<td class="org-left">in</td>
|
|
|
|
|
<td class="org-left">Number of electrons</td>
|
|
|
|
|
</tr>
|
|
|
|
|
|
|
|
|
|
<tr>
|
|
|
|
|
<td class="org-left"><code>mo_index_alpha</code></td>
|
|
|
|
|
<td class="org-left"><code>int64_t[det_num_alpha][walk_num][alpha_num]</code></td>
|
|
|
|
|
<td class="org-left">in</td>
|
|
|
|
|
<td class="org-left">MO indices for electrons</td>
|
|
|
|
|
</tr>
|
|
|
|
|
|
|
|
|
|
<tr>
|
|
|
|
|
<td class="org-left"><code>mo_num</code></td>
|
|
|
|
|
<td class="org-left"><code>int64_t</code></td>
|
|
|
|
|
<td class="org-left">in</td>
|
|
|
|
|
<td class="org-left">Number of MOs</td>
|
|
|
|
|
</tr>
|
|
|
|
|
|
|
|
|
|
<tr>
|
|
|
|
|
<td class="org-left"><code>mo_vgl</code></td>
|
|
|
|
|
<td class="org-left"><code>double[5][elec_num][mo_num]</code></td>
|
|
|
|
|
<td class="org-left">in</td>
|
|
|
|
|
<td class="org-left">Value, gradients and Laplacian of the MOs</td>
|
|
|
|
|
</tr>
|
|
|
|
|
|
|
|
|
|
<tr>
|
|
|
|
|
<td class="org-left"><code>det_vgl_alpha</code></td>
|
|
|
|
|
<td class="org-left"><code>double[det_num_alpha][walk_num][5][alpha_num][alpha_num]</code></td>
|
|
|
|
|
<td class="org-left">out</td>
|
|
|
|
|
<td class="org-left">Value, gradients and Laplacian of the Det</td>
|
|
|
|
|
</tr>
|
|
|
|
|
</tbody>
|
|
|
|
|
</table>
|
|
|
|
|
|
|
|
|
|
<div class="org-src-container">
|
|
|
|
|
<pre class="src src-f90"><span style="color: #228b22;">integer</span><span style="color: #a0522d;"> function qmckl_compute_det_vgl_alpha_f(context, </span><span style="color: #a020f0;">&</span>
|
|
|
|
|
det_num_alpha, walk_num, alpha_num, beta_num, elec_num, <span style="color: #a020f0;">&</span>
|
|
|
|
|
mo_index_alpha, mo_num, mo_vgl, det_vgl_alpha) <span style="color: #a020f0;">&</span>
|
|
|
|
|
<span style="color: #a020f0;">result</span>(info)
|
|
|
|
|
<span style="color: #a020f0;">use</span> <span style="color: #0000ff;">qmckl</span>
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<span style="color: #a020f0;">implicit</span> <span style="color: #228b22;">none</span>
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<span style="color: #228b22;">integer</span>(qmckl_context) , <span style="color: #a020f0;">intent</span>(in) ::<span style="color: #a0522d;"> context</span>
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<span style="color: #228b22;">integer</span>*8, <span style="color: #a020f0;">intent</span>(in) ::<span style="color: #a0522d;"> det_num_alpha</span>
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<span style="color: #228b22;">integer</span>*8, <span style="color: #a020f0;">intent</span>(in) ::<span style="color: #a0522d;"> walk_num</span>
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<span style="color: #228b22;">integer</span>*8, <span style="color: #a020f0;">intent</span>(in) ::<span style="color: #a0522d;"> alpha_num</span>
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<span style="color: #228b22;">integer</span>*8, <span style="color: #a020f0;">intent</span>(in) ::<span style="color: #a0522d;"> beta_num</span>
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<span style="color: #228b22;">integer</span>*8, <span style="color: #a020f0;">intent</span>(in) ::<span style="color: #a0522d;"> elec_num</span>
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<span style="color: #228b22;">integer</span>*8, <span style="color: #a020f0;">intent</span>(in) ::<span style="color: #a0522d;"> mo_num</span>
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<span style="color: #228b22;">integer</span>*8, <span style="color: #a020f0;">intent</span>(in) ::<span style="color: #a0522d;"> mo_index_alpha(alpha_num, walk_num, det_num_alpha)</span>
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<span style="color: #228b22;">double precision</span>, <span style="color: #a020f0;">intent</span>(in) ::<span style="color: #a0522d;"> mo_vgl(mo_num, elec_num, 5)</span>
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<span style="color: #228b22;">double precision</span>, <span style="color: #a020f0;">intent</span>(inout) ::<span style="color: #a0522d;"> det_vgl_alpha(alpha_num, alpha_num, 5, walk_num, det_num_alpha)</span>
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<span style="color: #228b22;">integer</span>*8 ::<span style="color: #a0522d;"> idet, iwalk, ielec, mo_id, imo</span>
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info = QMCKL_SUCCESS
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<span style="color: #a020f0;">if</span> (context == QMCKL_NULL_CONTEXT) <span style="color: #a020f0;">then</span>
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info = QMCKL_INVALID_CONTEXT
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<span style="color: #a020f0;">return</span>
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<span style="color: #a020f0;">endif</span>
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<span style="color: #a020f0;">if</span> (walk_num <= 0) <span style="color: #a020f0;">then</span>
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info = QMCKL_INVALID_ARG_2
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<span style="color: #a020f0;">return</span>
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<span style="color: #a020f0;">endif</span>
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<span style="color: #a020f0;">if</span> (alpha_num <= 0) <span style="color: #a020f0;">then</span>
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info = QMCKL_INVALID_ARG_3
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<span style="color: #a020f0;">return</span>
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<span style="color: #a020f0;">endif</span>
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<span style="color: #a020f0;">do</span> idet = 1, det_num_alpha
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<span style="color: #a020f0;">do</span> iwalk = 1, walk_num
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<span style="color: #a020f0;">do</span> ielec = 1, alpha_num
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<span style="color: #a020f0;">do</span> imo = 1, alpha_num
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mo_id = mo_index_alpha(imo,iwalk,idet)
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! <span style="color: #b22222;">Value</span>
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det_vgl_alpha(imo, ielec, 1, iwalk, idet) = mo_vgl(mo_id, ielec, 1)
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! <span style="color: #b22222;">Grad_x</span>
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det_vgl_alpha(imo, ielec, 2, iwalk, idet) = mo_vgl(mo_id, ielec, 2)
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! <span style="color: #b22222;">Grad_y</span>
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det_vgl_alpha(imo, ielec, 3, iwalk, idet) = mo_vgl(mo_id, ielec, 3)
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! <span style="color: #b22222;">Grad_z</span>
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det_vgl_alpha(imo, ielec, 4, iwalk, idet) = mo_vgl(mo_id, ielec, 4)
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! <span style="color: #b22222;">Lap</span>
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det_vgl_alpha(imo, ielec, 5, iwalk, idet) = mo_vgl(mo_id, ielec, 5)
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<span style="color: #a020f0;">end do</span>
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<span style="color: #a020f0;">end do</span>
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<span style="color: #a020f0;">end do</span>
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<span style="color: #a020f0;">end do</span>
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<span style="color: #a020f0;">end function</span> <span style="color: #0000ff;">qmckl_compute_det_vgl_alpha_f</span>
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</pre>
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</div>
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<div class="org-src-container">
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<pre class="src src-c"><span style="color: #228b22;">qmckl_exit_code</span> <span style="color: #0000ff;">qmckl_compute_det_vgl_alpha</span> (
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<span style="color: #a020f0;">const</span> <span style="color: #228b22;">qmckl_context</span> <span style="color: #a0522d;">context</span>,
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<span style="color: #a020f0;">const</span> <span style="color: #228b22;">int64_t</span> <span style="color: #a0522d;">det_num_alpha</span>,
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<span style="color: #a020f0;">const</span> <span style="color: #228b22;">int64_t</span> <span style="color: #a0522d;">walk_num</span>,
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<span style="color: #a020f0;">const</span> <span style="color: #228b22;">int64_t</span> <span style="color: #a0522d;">alpha_num</span>,
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<span style="color: #a020f0;">const</span> <span style="color: #228b22;">int64_t</span> <span style="color: #a0522d;">beta_num</span>,
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<span style="color: #a020f0;">const</span> <span style="color: #228b22;">int64_t</span> <span style="color: #a0522d;">elec_num</span>,
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<span style="color: #a020f0;">const</span> <span style="color: #228b22;">int64_t</span>* <span style="color: #a0522d;">mo_index_alpha</span>,
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<span style="color: #a020f0;">const</span> <span style="color: #228b22;">int64_t</span> <span style="color: #a0522d;">mo_num</span>,
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<span style="color: #a020f0;">const</span> <span style="color: #228b22;">double</span>* <span style="color: #a0522d;">mo_vgl</span>,
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<span style="color: #228b22;">double</span>* <span style="color: #a020f0;">const</span> <span style="color: #a0522d;">det_vgl_alpha</span> );
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</pre>
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</div>
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</div>
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</div>
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2022-11-16 22:23:04 +01:00
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<div id="outline-container-orgb05bb14" class="outline-4">
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<h4 id="orgb05bb14"><span class="section-number-4">2.1.4</span> Compute beta</h4>
|
2022-09-28 18:04:21 +02:00
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<div class="outline-text-4" id="text-2-1-4">
|
2022-11-16 22:23:04 +01:00
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<table id="org069526c" border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides">
|
2022-09-28 18:04:21 +02:00
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<colgroup>
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<col class="org-left" />
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<col class="org-left" />
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<col class="org-left" />
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<col class="org-left" />
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</colgroup>
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<thead>
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<tr>
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<th scope="col" class="org-left">Variable</th>
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<th scope="col" class="org-left">Type</th>
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<th scope="col" class="org-left">In/Out</th>
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<th scope="col" class="org-left">Description</th>
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</tr>
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</thead>
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<tbody>
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<tr>
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<td class="org-left"><code>context</code></td>
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<td class="org-left"><code>qmckl_context</code></td>
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<td class="org-left">in</td>
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<td class="org-left">Global state</td>
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</tr>
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<tr>
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<td class="org-left"><code>det_num_beta</code></td>
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<td class="org-left"><code>int64_t</code></td>
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<td class="org-left">in</td>
|
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<td class="org-left">Number of determinants</td>
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</tr>
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<tr>
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<td class="org-left"><code>walk_num</code></td>
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<td class="org-left"><code>int64_t</code></td>
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<td class="org-left">in</td>
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<td class="org-left">Number of walkers</td>
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</tr>
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<tr>
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<td class="org-left"><code>alpha_num</code></td>
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<td class="org-left"><code>int64_t</code></td>
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<td class="org-left">in</td>
|
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<td class="org-left">Number of electrons</td>
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</tr>
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<tr>
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<td class="org-left"><code>beta_num</code></td>
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<td class="org-left"><code>int64_t</code></td>
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<td class="org-left">in</td>
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<td class="org-left">Number of electrons</td>
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</tr>
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<tr>
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<td class="org-left"><code>elec_num</code></td>
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<td class="org-left"><code>int64_t</code></td>
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<td class="org-left">in</td>
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<td class="org-left">Number of electrons</td>
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</tr>
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<tr>
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<td class="org-left"><code>mo_index_beta</code></td>
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<td class="org-left"><code>int64_t[det_num_beta][walk_num][beta_num]</code></td>
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<td class="org-left">in</td>
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<td class="org-left">Number of electrons</td>
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</tr>
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<tr>
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<td class="org-left"><code>mo_num</code></td>
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<td class="org-left"><code>int64_t</code></td>
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<td class="org-left">in</td>
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<td class="org-left">Number of MOs</td>
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</tr>
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<tr>
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<td class="org-left"><code>mo_vgl</code></td>
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<td class="org-left"><code>double[5][elec_num][mo_num]</code></td>
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<td class="org-left">in</td>
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<td class="org-left">Value, gradients and Laplacian of the MOs</td>
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</tr>
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<tr>
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<td class="org-left"><code>det_vgl_beta</code></td>
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<td class="org-left"><code>double[det_num_beta][walk_num][5][beta_num][beta_num]</code></td>
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<td class="org-left">out</td>
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<td class="org-left">Value, gradients and Laplacian of the Det</td>
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</tr>
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</tbody>
|
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</table>
|
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<div class="org-src-container">
|
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|
<pre class="src src-f90"><span style="color: #228b22;">integer</span><span style="color: #a0522d;"> function qmckl_compute_det_vgl_beta_f(context, </span><span style="color: #a020f0;">&</span>
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|
det_num_beta, walk_num, alpha_num, beta_num, elec_num, <span style="color: #a020f0;">&</span>
|
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|
mo_index_beta, mo_num, mo_vgl, det_vgl_beta) <span style="color: #a020f0;">&</span>
|
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|
|
<span style="color: #a020f0;">result</span>(info)
|
|
|
|
|
<span style="color: #a020f0;">use</span> <span style="color: #0000ff;">qmckl</span>
|
|
|
|
|
<span style="color: #a020f0;">implicit</span> <span style="color: #228b22;">none</span>
|
|
|
|
|
<span style="color: #228b22;">integer</span>(qmckl_context) , <span style="color: #a020f0;">intent</span>(in) ::<span style="color: #a0522d;"> context</span>
|
|
|
|
|
<span style="color: #228b22;">integer</span>*8, <span style="color: #a020f0;">intent</span>(in) ::<span style="color: #a0522d;"> det_num_beta</span>
|
|
|
|
|
<span style="color: #228b22;">integer</span>*8, <span style="color: #a020f0;">intent</span>(in) ::<span style="color: #a0522d;"> walk_num</span>
|
|
|
|
|
<span style="color: #228b22;">integer</span>*8, <span style="color: #a020f0;">intent</span>(in) ::<span style="color: #a0522d;"> alpha_num</span>
|
|
|
|
|
<span style="color: #228b22;">integer</span>*8, <span style="color: #a020f0;">intent</span>(in) ::<span style="color: #a0522d;"> beta_num</span>
|
|
|
|
|
<span style="color: #228b22;">integer</span>*8, <span style="color: #a020f0;">intent</span>(in) ::<span style="color: #a0522d;"> elec_num</span>
|
|
|
|
|
<span style="color: #228b22;">integer</span>*8, <span style="color: #a020f0;">intent</span>(in) ::<span style="color: #a0522d;"> mo_num</span>
|
|
|
|
|
<span style="color: #228b22;">integer</span>*8, <span style="color: #a020f0;">intent</span>(in) ::<span style="color: #a0522d;"> mo_index_beta(beta_num,walk_num,det_num_beta)</span>
|
|
|
|
|
<span style="color: #228b22;">double precision</span>, <span style="color: #a020f0;">intent</span>(in) ::<span style="color: #a0522d;"> mo_vgl(mo_num, elec_num, 5)</span>
|
|
|
|
|
<span style="color: #228b22;">double precision</span>, <span style="color: #a020f0;">intent</span>(inout) ::<span style="color: #a0522d;"> det_vgl_beta(beta_num, beta_num, 5, walk_num, det_num_beta)</span>
|
|
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|
|
<span style="color: #228b22;">integer</span>*8 ::<span style="color: #a0522d;"> idet, iwalk, ielec, mo_id, imo</span>
|
|
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|
|
info = QMCKL_SUCCESS
|
|
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|
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|
|
|
<span style="color: #a020f0;">if</span> (context == QMCKL_NULL_CONTEXT) <span style="color: #a020f0;">then</span>
|
|
|
|
|
info = QMCKL_INVALID_CONTEXT
|
|
|
|
|
<span style="color: #a020f0;">return</span>
|
|
|
|
|
<span style="color: #a020f0;">endif</span>
|
|
|
|
|
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|
|
<span style="color: #a020f0;">if</span> (walk_num <= 0) <span style="color: #a020f0;">then</span>
|
|
|
|
|
info = QMCKL_INVALID_ARG_2
|
|
|
|
|
<span style="color: #a020f0;">return</span>
|
|
|
|
|
<span style="color: #a020f0;">endif</span>
|
|
|
|
|
|
|
|
|
|
<span style="color: #a020f0;">if</span> (beta_num <= 0) <span style="color: #a020f0;">then</span>
|
|
|
|
|
info = QMCKL_INVALID_ARG_3
|
|
|
|
|
<span style="color: #a020f0;">return</span>
|
|
|
|
|
<span style="color: #a020f0;">endif</span>
|
|
|
|
|
|
|
|
|
|
<span style="color: #a020f0;">do</span> idet = 1, det_num_beta
|
|
|
|
|
<span style="color: #a020f0;">do</span> iwalk = 1, walk_num
|
|
|
|
|
<span style="color: #a020f0;">do</span> ielec = 1, beta_num
|
|
|
|
|
<span style="color: #a020f0;">do</span> imo = 1, beta_num
|
|
|
|
|
mo_id = mo_index_beta(imo, iwalk, idet)
|
|
|
|
|
! <span style="color: #b22222;">Value</span>
|
|
|
|
|
det_vgl_beta(imo, ielec, 1, iwalk, idet) = mo_vgl(mo_id, alpha_num + ielec, 1)
|
|
|
|
|
|
|
|
|
|
! <span style="color: #b22222;">Grad_x</span>
|
|
|
|
|
det_vgl_beta(imo, ielec, 2, iwalk, idet) = mo_vgl(mo_id, alpha_num + ielec, 2)
|
|
|
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! <span style="color: #b22222;">Grad_y</span>
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det_vgl_beta(imo, ielec, 3, iwalk, idet) = mo_vgl(mo_id, alpha_num + ielec, 3)
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! <span style="color: #b22222;">Grad_z</span>
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det_vgl_beta(imo, ielec, 4, iwalk, idet) = mo_vgl(mo_id, alpha_num + ielec, 4)
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! <span style="color: #b22222;">Lap</span>
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det_vgl_beta(imo, ielec, 5, iwalk, idet) = mo_vgl(mo_id, alpha_num + ielec, 5)
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<span style="color: #a020f0;">end do</span>
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<span style="color: #a020f0;">end do</span>
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<span style="color: #a020f0;">end do</span>
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<span style="color: #a020f0;">end do</span>
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<span style="color: #a020f0;">end function</span> <span style="color: #0000ff;">qmckl_compute_det_vgl_beta_f</span>
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</pre>
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</div>
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<div class="org-src-container">
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<pre class="src src-c"><span style="color: #228b22;">qmckl_exit_code</span> <span style="color: #0000ff;">qmckl_compute_det_vgl_beta</span> (
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<span style="color: #a020f0;">const</span> <span style="color: #228b22;">qmckl_context</span> <span style="color: #a0522d;">context</span>,
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<span style="color: #a020f0;">const</span> <span style="color: #228b22;">int64_t</span> <span style="color: #a0522d;">det_num_beta</span>,
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<span style="color: #a020f0;">const</span> <span style="color: #228b22;">int64_t</span> <span style="color: #a0522d;">walk_num</span>,
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<span style="color: #a020f0;">const</span> <span style="color: #228b22;">int64_t</span> <span style="color: #a0522d;">alpha_num</span>,
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<span style="color: #a020f0;">const</span> <span style="color: #228b22;">int64_t</span> <span style="color: #a0522d;">beta_num</span>,
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<span style="color: #a020f0;">const</span> <span style="color: #228b22;">int64_t</span> <span style="color: #a0522d;">elec_num</span>,
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<span style="color: #a020f0;">const</span> <span style="color: #228b22;">int64_t</span>* <span style="color: #a0522d;">mo_index_beta</span>,
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<span style="color: #a020f0;">const</span> <span style="color: #228b22;">int64_t</span> <span style="color: #a0522d;">mo_num</span>,
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<span style="color: #a020f0;">const</span> <span style="color: #228b22;">double</span>* <span style="color: #a0522d;">mo_vgl</span>,
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<span style="color: #228b22;">double</span>* <span style="color: #a020f0;">const</span> <span style="color: #a0522d;">det_vgl_beta</span> );
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</pre>
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</div>
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</div>
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</div>
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2022-11-16 22:23:04 +01:00
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<div id="outline-container-org8e535be" class="outline-4">
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<h4 id="org8e535be"><span class="section-number-4">2.1.5</span> Test</h4>
|
2022-09-28 18:04:21 +02:00
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</div>
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</div>
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2022-11-16 22:23:04 +01:00
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<div id="outline-container-org9d9baf7" class="outline-3">
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<h3 id="org9d9baf7"><span class="section-number-3">2.2</span> Inverse of Determinant matrix</h3>
|
2022-09-28 18:04:21 +02:00
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<div class="outline-text-3" id="text-2-2">
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</div>
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2022-11-16 22:23:04 +01:00
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<div id="outline-container-org90dd98e" class="outline-4">
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<h4 id="org90dd98e"><span class="section-number-4">2.2.1</span> Get</h4>
|
2022-09-28 18:04:21 +02:00
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<div class="outline-text-4" id="text-2-2-1">
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<div class="org-src-container">
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<pre class="src src-c"><span style="color: #228b22;">qmckl_exit_code</span> <span style="color: #0000ff;">qmckl_get_det_inv_matrix_alpha</span>(<span style="color: #228b22;">qmckl_context</span> <span style="color: #a0522d;">context</span>, <span style="color: #228b22;">double</span>* <span style="color: #a020f0;">const</span> <span style="color: #a0522d;">det_inv_matrix_alpha</span>);
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<span style="color: #228b22;">qmckl_exit_code</span> <span style="color: #0000ff;">qmckl_get_det_inv_matrix_beta</span>(<span style="color: #228b22;">qmckl_context</span> <span style="color: #a0522d;">context</span>, <span style="color: #228b22;">double</span>* <span style="color: #a020f0;">const</span> <span style="color: #a0522d;">det_inv_matrix_beta</span>);
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<span style="color: #228b22;">qmckl_exit_code</span> <span style="color: #0000ff;">qmckl_get_det_adj_matrix_alpha</span>(<span style="color: #228b22;">qmckl_context</span> <span style="color: #a0522d;">context</span>, <span style="color: #228b22;">double</span>* <span style="color: #a020f0;">const</span> <span style="color: #a0522d;">det_adj_matrix_alpha</span>);
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<span style="color: #228b22;">qmckl_exit_code</span> <span style="color: #0000ff;">qmckl_get_det_adj_matrix_beta</span>(<span style="color: #228b22;">qmckl_context</span> <span style="color: #a0522d;">context</span>, <span style="color: #228b22;">double</span>* <span style="color: #a020f0;">const</span> <span style="color: #a0522d;">det_adj_matrix_beta</span>);
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<span style="color: #228b22;">qmckl_exit_code</span> <span style="color: #0000ff;">qmckl_get_det_alpha</span>(<span style="color: #228b22;">qmckl_context</span> <span style="color: #a0522d;">context</span>, <span style="color: #228b22;">double</span>* <span style="color: #a020f0;">const</span> <span style="color: #a0522d;">det_adj_matrix_alpha</span>);
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<span style="color: #228b22;">qmckl_exit_code</span> <span style="color: #0000ff;">qmckl_get_det_beta</span>(<span style="color: #228b22;">qmckl_context</span> <span style="color: #a0522d;">context</span>, <span style="color: #228b22;">double</span>* <span style="color: #a020f0;">const</span> <span style="color: #a0522d;">det_adj_matrix_beta</span>);
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</pre>
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</div>
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</div>
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</div>
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2022-11-16 22:23:04 +01:00
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<div id="outline-container-org74a50bd" class="outline-4">
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<h4 id="org74a50bd"><span class="section-number-4">2.2.2</span> Provide</h4>
|
2022-09-28 18:04:21 +02:00
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</div>
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2022-11-16 22:23:04 +01:00
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<div id="outline-container-orgd94287f" class="outline-4">
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<h4 id="orgd94287f"><span class="section-number-4">2.2.3</span> Compute alpha</h4>
|
2022-09-28 18:04:21 +02:00
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<div class="outline-text-4" id="text-2-2-3">
|
2022-11-16 22:23:04 +01:00
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<table id="orgf1347db" border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides">
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2022-09-28 18:04:21 +02:00
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<colgroup>
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<col class="org-left" />
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<col class="org-left" />
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<col class="org-left" />
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<col class="org-left" />
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</colgroup>
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<thead>
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<tr>
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<th scope="col" class="org-left">Variable</th>
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<th scope="col" class="org-left">Type</th>
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<th scope="col" class="org-left">In/Out</th>
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<th scope="col" class="org-left">Description</th>
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</tr>
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</thead>
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<tbody>
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<tr>
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<td class="org-left"><code>context</code></td>
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<td class="org-left"><code>qmckl_context</code></td>
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<td class="org-left">in</td>
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<td class="org-left">Global state</td>
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</tr>
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<tr>
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<td class="org-left"><code>det_num_alpha</code></td>
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<td class="org-left"><code>int64_t</code></td>
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<td class="org-left">in</td>
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<td class="org-left">Number of determinants</td>
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</tr>
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<tr>
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<td class="org-left"><code>walk_num</code></td>
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<td class="org-left"><code>int64_t</code></td>
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<td class="org-left">in</td>
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<td class="org-left">Number of walkers</td>
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</tr>
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<tr>
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<td class="org-left"><code>alpha_num</code></td>
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<td class="org-left"><code>int64_t</code></td>
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<td class="org-left">in</td>
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<td class="org-left">Number of electrons</td>
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</tr>
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<tr>
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<td class="org-left"><code>det_vgl_alpha</code></td>
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<td class="org-left"><code>double[det_num_alpha][walk_num][5][alpha_num][alpha_num]</code></td>
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<td class="org-left">in</td>
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<td class="org-left">determinant matrix Value, gradients and Laplacian of the MOs</td>
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</tr>
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<tr>
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<td class="org-left"><code>det_value_alpha</code></td>
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<td class="org-left"><code>double[det_num_alpha][walk_num]</code></td>
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<td class="org-left">out</td>
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<td class="org-left">value of determinant matrix</td>
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</tr>
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<tr>
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<td class="org-left"><code>det_adj_matrix_alpha</code></td>
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<td class="org-left"><code>double[det_num_alpha][walk_num][alpha_num][alpha_num]</code></td>
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<td class="org-left">out</td>
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<td class="org-left">adjoint of determinant matrix</td>
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</tr>
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<tr>
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<td class="org-left"><code>det_inv_matrix_alpha</code></td>
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<td class="org-left"><code>double[det_num_alpha][walk_num][alpha_num][alpha_num]</code></td>
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<td class="org-left">out</td>
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<td class="org-left">inverse of determinant matrix</td>
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</tr>
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</tbody>
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</table>
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<div class="org-src-container">
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<pre class="src src-f90"><span style="color: #228b22;">integer</span><span style="color: #a0522d;"> function qmckl_compute_det_inv_matrix_alpha_f(context, </span><span style="color: #a020f0;">&</span>
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det_num_alpha, walk_num, alpha_num, det_vgl_alpha, det_value_alpha, det_adj_matrix_alpha, det_inv_matrix_alpha) <span style="color: #a020f0;">&</span>
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<span style="color: #a020f0;">result</span>(info)
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<span style="color: #a020f0;">use</span> <span style="color: #0000ff;">qmckl</span>
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<span style="color: #a020f0;">implicit</span> <span style="color: #228b22;">none</span>
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<span style="color: #228b22;">integer</span>(qmckl_context) , <span style="color: #a020f0;">intent</span>(in) ::<span style="color: #a0522d;"> context</span>
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<span style="color: #228b22;">integer</span>*8, <span style="color: #a020f0;">intent</span>(in) ::<span style="color: #a0522d;"> det_num_alpha</span>
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<span style="color: #228b22;">integer</span>*8, <span style="color: #a020f0;">intent</span>(in) ::<span style="color: #a0522d;"> walk_num</span>
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<span style="color: #228b22;">integer</span>*8, <span style="color: #a020f0;">intent</span>(in) ::<span style="color: #a0522d;"> alpha_num</span>
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<span style="color: #228b22;">double precision</span>, <span style="color: #a020f0;">intent</span>(in) ::<span style="color: #a0522d;"> det_vgl_alpha(alpha_num, alpha_num, 5, walk_num, det_num_alpha)</span>
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<span style="color: #228b22;">double precision</span>, <span style="color: #a020f0;">intent</span>(inout) ::<span style="color: #a0522d;"> det_value_alpha(walk_num, det_num_alpha)</span>
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<span style="color: #228b22;">double precision</span>, <span style="color: #a020f0;">intent</span>(inout) ::<span style="color: #a0522d;"> det_adj_matrix_alpha(alpha_num, alpha_num, walk_num, det_num_alpha)</span>
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<span style="color: #228b22;">double precision</span>, <span style="color: #a020f0;">intent</span>(inout) ::<span style="color: #a0522d;"> det_inv_matrix_alpha(alpha_num, alpha_num, walk_num, det_num_alpha)</span>
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<span style="color: #228b22;">double precision</span>,<span style="color: #a020f0;">dimension</span>(:,:),<span style="color: #a020f0;">allocatable</span> ::<span style="color: #a0522d;"> matA</span>
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<span style="color: #228b22;">double precision</span> ::<span style="color: #a0522d;"> det_l</span>
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<span style="color: #228b22;">integer</span>*8 ::<span style="color: #a0522d;"> idet, iwalk, ielec, mo_id, imo, LDA, res, i, j</span>
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<span style="color: #a020f0;">allocate</span>(matA(alpha_num, alpha_num))
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info = QMCKL_SUCCESS
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<span style="color: #a020f0;">if</span> (context == QMCKL_NULL_CONTEXT) <span style="color: #a020f0;">then</span>
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info = QMCKL_INVALID_CONTEXT
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<span style="color: #a020f0;">return</span>
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<span style="color: #a020f0;">endif</span>
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<span style="color: #a020f0;">if</span> (det_num_alpha <= 0) <span style="color: #a020f0;">then</span>
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info = QMCKL_INVALID_ARG_2
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<span style="color: #a020f0;">return</span>
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<span style="color: #a020f0;">endif</span>
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<span style="color: #a020f0;">if</span> (walk_num <= 0) <span style="color: #a020f0;">then</span>
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info = QMCKL_INVALID_ARG_3
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<span style="color: #a020f0;">return</span>
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<span style="color: #a020f0;">endif</span>
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<span style="color: #a020f0;">if</span> (alpha_num <= 0) <span style="color: #a020f0;">then</span>
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info = QMCKL_INVALID_ARG_4
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<span style="color: #a020f0;">return</span>
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<span style="color: #a020f0;">endif</span>
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LDA = alpha_num
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<span style="color: #a020f0;">do</span> idet = 1, det_num_alpha
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<span style="color: #a020f0;">do</span> iwalk = 1, walk_num
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! <span style="color: #b22222;">Value</span>
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matA(1:alpha_num,1:alpha_num) = <span style="color: #a020f0;">&</span>
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det_vgl_alpha(1:alpha_num, 1:alpha_num, 1, iwalk, idet)
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res = qmckl_adjugate(context, <span style="color: #a020f0;">&</span>
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alpha_num, matA, LDA, <span style="color: #a020f0;">&</span>
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det_adj_matrix_alpha(1:alpha_num, 1:alpha_num, iwalk, idet), <span style="color: #a020f0;">&</span>
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<span style="color: #a020f0;">int</span>(<span style="color: #a020f0;">size</span>(det_adj_matrix_alpha,1),8), <span style="color: #a020f0;">&</span>
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det_l)
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det_inv_matrix_alpha(1:alpha_num, 1:alpha_num, iwalk, idet) = <span style="color: #a020f0;">&</span>
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(1.d0/det_l) * <span style="color: #a020f0;">&</span>
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det_adj_matrix_alpha(1:alpha_num, 1:alpha_num, iwalk, idet)
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det_value_alpha(iwalk, idet) = det_l
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<span style="color: #a020f0;">end do</span>
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<span style="color: #a020f0;">end do</span>
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<span style="color: #a020f0;">deallocate</span>(matA)
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<span style="color: #a020f0;">end function</span> <span style="color: #0000ff;">qmckl_compute_det_inv_matrix_alpha_f</span>
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</pre>
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</div>
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<div class="org-src-container">
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<pre class="src src-c"><span style="color: #228b22;">qmckl_exit_code</span> <span style="color: #0000ff;">qmckl_compute_det_inv_matrix_alpha</span> (
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<span style="color: #a020f0;">const</span> <span style="color: #228b22;">qmckl_context</span> <span style="color: #a0522d;">context</span>,
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<span style="color: #a020f0;">const</span> <span style="color: #228b22;">int64_t</span> <span style="color: #a0522d;">det_num_alpha</span>,
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<span style="color: #a020f0;">const</span> <span style="color: #228b22;">int64_t</span> <span style="color: #a0522d;">walk_num</span>,
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<span style="color: #a020f0;">const</span> <span style="color: #228b22;">int64_t</span> <span style="color: #a0522d;">alpha_num</span>,
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<span style="color: #a020f0;">const</span> <span style="color: #228b22;">double</span>* <span style="color: #a0522d;">det_vgl_alpha</span>,
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<span style="color: #228b22;">double</span>* <span style="color: #a020f0;">const</span> <span style="color: #a0522d;">det_value_alpha</span>,
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<span style="color: #228b22;">double</span>* <span style="color: #a020f0;">const</span> <span style="color: #a0522d;">det_adj_matrix_alpha</span>,
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<span style="color: #228b22;">double</span>* <span style="color: #a020f0;">const</span> <span style="color: #a0522d;">det_inv_matrix_alpha</span> );
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</pre>
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</div>
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</div>
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</div>
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2022-11-16 22:23:04 +01:00
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<div id="outline-container-orgb6f2a9e" class="outline-4">
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<h4 id="orgb6f2a9e"><span class="section-number-4">2.2.4</span> Compute beta</h4>
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2022-09-28 18:04:21 +02:00
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<div class="outline-text-4" id="text-2-2-4">
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2022-11-16 22:23:04 +01:00
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<table id="orgdf8bdf9" border="2" cellspacing="0" cellpadding="6" rules="groups" frame="hsides">
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2022-09-28 18:04:21 +02:00
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<colgroup>
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<col class="org-left" />
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<col class="org-left" />
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<col class="org-left" />
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<col class="org-left" />
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</colgroup>
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<thead>
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<tr>
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<th scope="col" class="org-left">Variable</th>
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<th scope="col" class="org-left">Type</th>
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<th scope="col" class="org-left">In/Out</th>
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<th scope="col" class="org-left">Description</th>
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</tr>
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</thead>
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<tbody>
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<tr>
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<td class="org-left"><code>context</code></td>
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<td class="org-left"><code>qmckl_context</code></td>
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<td class="org-left">in</td>
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<td class="org-left">Global state</td>
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</tr>
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<tr>
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<td class="org-left"><code>det_num_beta</code></td>
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<td class="org-left"><code>int64_t</code></td>
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<td class="org-left">in</td>
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<td class="org-left">Number of determinants</td>
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</tr>
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<tr>
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<td class="org-left"><code>walk_num</code></td>
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<td class="org-left"><code>int64_t</code></td>
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<td class="org-left">in</td>
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<td class="org-left">Number of walkers</td>
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</tr>
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<tr>
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<td class="org-left"><code>beta_num</code></td>
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<td class="org-left"><code>int64_t</code></td>
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<td class="org-left">in</td>
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<td class="org-left">Number of electrons</td>
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</tr>
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<tr>
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<td class="org-left"><code>det_vgl_beta</code></td>
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<td class="org-left"><code>double[det_num_beta][walk_num][5][beta_num][beta_num]</code></td>
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<td class="org-left">in</td>
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<td class="org-left">determinant matrix Value, gradients and Laplacian of the MOs</td>
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</tr>
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<tr>
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<td class="org-left"><code>det_value_beta</code></td>
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<td class="org-left"><code>double[det_num_beta][walk_num]</code></td>
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<td class="org-left">out</td>
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<td class="org-left">value of determinant matrix</td>
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</tr>
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<tr>
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<td class="org-left"><code>det_adj_matrix_beta</code></td>
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<td class="org-left"><code>double[det_num_beta][walk_num][beta_num][beta_num]</code></td>
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<td class="org-left">out</td>
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<td class="org-left">adjoint of determinant matrix</td>
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</tr>
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<tr>
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<td class="org-left"><code>det_inv_matrix_beta</code></td>
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<td class="org-left"><code>double[det_num_beta][walk_num][beta_num][beta_num]</code></td>
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<td class="org-left">out</td>
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<td class="org-left">inverse of determinant matrix</td>
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</tr>
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</tbody>
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</table>
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<div class="org-src-container">
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<pre class="src src-f90"><span style="color: #228b22;">integer</span><span style="color: #a0522d;"> function qmckl_compute_det_inv_matrix_beta_f(context, </span><span style="color: #a020f0;">&</span>
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det_num_beta, walk_num, beta_num, det_vgl_beta, det_value_beta, det_adj_matrix_beta, det_inv_matrix_beta) <span style="color: #a020f0;">&</span>
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<span style="color: #a020f0;">result</span>(info)
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<span style="color: #a020f0;">use</span> <span style="color: #0000ff;">qmckl</span>
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<span style="color: #a020f0;">implicit</span> <span style="color: #228b22;">none</span>
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<span style="color: #228b22;">integer</span>(qmckl_context) , <span style="color: #a020f0;">intent</span>(in) ::<span style="color: #a0522d;"> context</span>
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<span style="color: #228b22;">integer</span>*8, <span style="color: #a020f0;">intent</span>(in) ::<span style="color: #a0522d;"> det_num_beta</span>
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<span style="color: #228b22;">integer</span>*8, <span style="color: #a020f0;">intent</span>(in) ::<span style="color: #a0522d;"> walk_num</span>
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<span style="color: #228b22;">integer</span>*8, <span style="color: #a020f0;">intent</span>(in) ::<span style="color: #a0522d;"> beta_num</span>
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<span style="color: #228b22;">double precision</span>, <span style="color: #a020f0;">intent</span>(in) ::<span style="color: #a0522d;"> det_vgl_beta(beta_num, beta_num, 5, walk_num, det_num_beta)</span>
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<span style="color: #228b22;">double precision</span>, <span style="color: #a020f0;">intent</span>(inout) ::<span style="color: #a0522d;"> det_value_beta(walk_num, det_num_beta)</span>
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<span style="color: #228b22;">double precision</span>, <span style="color: #a020f0;">intent</span>(inout) ::<span style="color: #a0522d;"> det_adj_matrix_beta(beta_num, beta_num, walk_num, det_num_beta)</span>
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<span style="color: #228b22;">double precision</span>, <span style="color: #a020f0;">intent</span>(inout) ::<span style="color: #a0522d;"> det_inv_matrix_beta(beta_num, beta_num, walk_num, det_num_beta)</span>
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<span style="color: #228b22;">double precision</span>,<span style="color: #a020f0;">dimension</span>(:,:),<span style="color: #a020f0;">allocatable</span> ::<span style="color: #a0522d;"> matA</span>
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<span style="color: #228b22;">double precision</span> ::<span style="color: #a0522d;"> det_l</span>
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<span style="color: #228b22;">integer</span>*8 ::<span style="color: #a0522d;"> idet, iwalk, ielec, mo_id, imo, LDA, res</span>
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<span style="color: #a020f0;">allocate</span>(matA(beta_num, beta_num))
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info = QMCKL_SUCCESS
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<span style="color: #a020f0;">if</span> (context == QMCKL_NULL_CONTEXT) <span style="color: #a020f0;">then</span>
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info = QMCKL_INVALID_CONTEXT
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<span style="color: #a020f0;">return</span>
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<span style="color: #a020f0;">endif</span>
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<span style="color: #a020f0;">if</span> (det_num_beta <= 0) <span style="color: #a020f0;">then</span>
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info = QMCKL_INVALID_ARG_2
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<span style="color: #a020f0;">return</span>
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<span style="color: #a020f0;">endif</span>
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<span style="color: #a020f0;">if</span> (walk_num <= 0) <span style="color: #a020f0;">then</span>
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info = QMCKL_INVALID_ARG_3
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<span style="color: #a020f0;">return</span>
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<span style="color: #a020f0;">endif</span>
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<span style="color: #a020f0;">if</span> (beta_num <= 0) <span style="color: #a020f0;">then</span>
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info = QMCKL_INVALID_ARG_4
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<span style="color: #a020f0;">return</span>
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<span style="color: #a020f0;">endif</span>
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LDA = beta_num
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<span style="color: #a020f0;">do</span> idet = 1, det_num_beta
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<span style="color: #a020f0;">do</span> iwalk = 1, walk_num
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! <span style="color: #b22222;">Value</span>
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matA(1:beta_num,1:beta_num) = <span style="color: #a020f0;">&</span>
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det_vgl_beta(1:beta_num, 1:beta_num, 1, iwalk, idet)
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res = qmckl_adjugate(context, <span style="color: #a020f0;">&</span>
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beta_num, matA, LDA, <span style="color: #a020f0;">&</span>
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det_adj_matrix_beta(1, 1, iwalk, idet), <span style="color: #a020f0;">&</span>
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<span style="color: #a020f0;">int</span>(<span style="color: #a020f0;">size</span>(det_adj_matrix_beta,1),8), <span style="color: #a020f0;">&</span>
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det_l)
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det_inv_matrix_beta(1:beta_num, 1:beta_num, iwalk, idet) = <span style="color: #a020f0;">&</span>
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(1.d0/det_l) * <span style="color: #a020f0;">&</span>
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det_adj_matrix_beta(1:beta_num, 1:beta_num, iwalk, idet)
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det_value_beta(iwalk, idet) = det_l
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<span style="color: #a020f0;">end do</span>
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<span style="color: #a020f0;">end do</span>
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<span style="color: #a020f0;">deallocate</span>(matA)
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<span style="color: #a020f0;">end function</span> <span style="color: #0000ff;">qmckl_compute_det_inv_matrix_beta_f</span>
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</pre>
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</div>
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<div class="org-src-container">
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<pre class="src src-c"><span style="color: #228b22;">qmckl_exit_code</span> <span style="color: #0000ff;">qmckl_compute_det_inv_matrix_beta</span> (
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<span style="color: #a020f0;">const</span> <span style="color: #228b22;">qmckl_context</span> <span style="color: #a0522d;">context</span>,
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<span style="color: #a020f0;">const</span> <span style="color: #228b22;">int64_t</span> <span style="color: #a0522d;">det_num_beta</span>,
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<span style="color: #a020f0;">const</span> <span style="color: #228b22;">int64_t</span> <span style="color: #a0522d;">walk_num</span>,
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<span style="color: #a020f0;">const</span> <span style="color: #228b22;">int64_t</span> <span style="color: #a0522d;">beta_num</span>,
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<span style="color: #a020f0;">const</span> <span style="color: #228b22;">double</span>* <span style="color: #a0522d;">det_vgl_beta</span>,
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<span style="color: #228b22;">double</span>* <span style="color: #a020f0;">const</span> <span style="color: #a0522d;">det_value_beta</span>,
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<span style="color: #228b22;">double</span>* <span style="color: #a020f0;">const</span> <span style="color: #a0522d;">det_adj_matrix_beta</span>,
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<span style="color: #228b22;">double</span>* <span style="color: #a020f0;">const</span> <span style="color: #a0522d;">det_inv_matrix_beta</span> );
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</pre>
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</div>
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</div>
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</div>
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</div>
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</div>
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</div>
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<div id="postamble" class="status">
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<p class="author">Author: TREX CoE</p>
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2022-11-16 22:23:04 +01:00
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<p class="date">Created: 2022-11-16 Wed 21:22</p>
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2022-09-28 18:04:21 +02:00
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<p class="validation"><a href="http://validator.w3.org/check?uri=referer">Validate</a></p>
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</div>
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</body>
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</html>
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