libdune-grid-glue-doc 2.4.0-1build1 / usr / share / doc / libdune-grid-glue-doc / doxygen / a00107.html

This file is indexed.

/usr/share/doc/libdune-grid-glue-doc/doxygen/a00107.html is in libdune-grid-glue-doc 2.4.0-1build1.

This file is owned by root:root, with mode 0o644.

The actual contents of the file can be viewed below. 

  1
  2
  3
  4
  5
  6
  7
  8
  9
 10
 11
 12
 13
 14
 15
 16
 17
 18
 19
 20
 21
 22
 23
 24
 25
 26
 27
 28
 29
 30
 31
 32
 33
 34
 35
 36
 37
 38
 39
 40
 41
 42
 43
 44
 45
 46
 47
 48
 49
 50
 51
 52
 53
 54
 55
 56
 57
 58
 59
 60
 61
 62
 63
 64
 65
 66
 67
 68
 69
 70
 71
 72
 73
 74
 75
 76
 77
 78
 79
 80
 81
 82
 83
 84
 85
 86
 87
 88
 89
 90
 91
 92
 93
 94
 95
 96
 97
 98
 99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">
<html xmlns="http://www.w3.org/1999/xhtml">
<head>
<meta http-equiv="Content-Type" content="text/xhtml;charset=UTF-8"/>
<meta http-equiv="X-UA-Compatible" content="IE=9"/>
<meta name="generator" content="Doxygen 1.8.11"/>
<title>dune-grid-glue: Dune::GridGlue::ProjectionImplementation Namespace Reference</title>
<link href="tabs.css" rel="stylesheet" type="text/css"/>
<script type="text/javascript" src="jquery.js"></script>
<script type="text/javascript" src="dynsections.js"></script>
<link href="doxygen.css" rel="stylesheet" type="text/css" />
</head>
<body>
<div id="top"><!-- do not remove this div, it is closed by doxygen! -->
<div id="titlearea">
<table cellspacing="0" cellpadding="0">
 <tbody>
 <tr style="height: 56px;">
  <td id="projectalign" style="padding-left: 0.5em;">
   <div id="projectname">dune-grid-glue
   &#160;<span id="projectnumber">2.4.0</span>
   </div>
  </td>
 </tr>
 </tbody>
</table>
</div>
<!-- end header part -->
<!-- Generated by Doxygen 1.8.11 -->
  <div id="navrow1" class="tabs">
    <ul class="tablist">
      <li><a href="index.html"><span>Main&#160;Page</span></a></li>
      <li><a href="pages.html"><span>Related&#160;Pages</span></a></li>
      <li class="current"><a href="namespaces.html"><span>Namespaces</span></a></li>
      <li><a href="annotated.html"><span>Classes</span></a></li>
      <li><a href="files.html"><span>Files</span></a></li>
    </ul>
  </div>
  <div id="navrow2" class="tabs2">
    <ul class="tablist">
      <li><a href="namespaces.html"><span>Namespace&#160;List</span></a></li>
      <li><a href="namespacemembers.html"><span>Namespace&#160;Members</span></a></li>
    </ul>
  </div>
<div id="nav-path" class="navpath">
  <ul>
<li class="navelem"><a class="el" href="a00103.html">Dune</a></li><li class="navelem"><a class="el" href="a00104.html">GridGlue</a></li><li class="navelem"><a class="el" href="a00107.html">ProjectionImplementation</a></li>  </ul>
</div>
</div><!-- top -->
<div class="header">
  <div class="summary">
<a href="#func-members">Functions</a>  </div>
  <div class="headertitle">
<div class="title">Dune::GridGlue::ProjectionImplementation Namespace Reference</div>  </div>
</div><!--header-->
<div class="contents">
<table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
Functions</h2></td></tr>
<tr class="memitem:aceaac4969247e38262453f82aca8bedf"><td class="memTemplParams" colspan="2">template&lt;typename Coordinate , typename Field &gt; </td></tr>
<tr class="memitem:aceaac4969247e38262453f82aca8bedf"><td class="memTemplItemLeft" align="right" valign="top">Coordinate&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00107.html#aceaac4969247e38262453f82aca8bedf">corner</a> (unsigned c)</td></tr>
<tr class="separator:aceaac4969247e38262453f82aca8bedf"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a6862697106891aa590435d076e949702"><td class="memItemLeft" align="right" valign="top">std::pair&lt; unsigned, unsigned &gt;&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="a00107.html#a6862697106891aa590435d076e949702">edgeToCorners</a> (unsigned edge)</td></tr>
<tr class="separator:a6862697106891aa590435d076e949702"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a6cad77ef0322dd2d36743bee614e74e6"><td class="memTemplParams" colspan="2">template&lt;typename Coordinate , typename Corners &gt; </td></tr>
<tr class="memitem:a6cad77ef0322dd2d36743bee614e74e6"><td class="memTemplItemLeft" align="right" valign="top">Corners::value_type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00107.html#a6cad77ef0322dd2d36743bee614e74e6">interpolate</a> (const Coordinate &amp;x, const Corners &amp;corners)</td></tr>
<tr class="separator:a6cad77ef0322dd2d36743bee614e74e6"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ad16a87230471ed2c5af0980dfa1668f0"><td class="memTemplParams" colspan="2">template&lt;typename Coordinate , typename Normals &gt; </td></tr>
<tr class="memitem:ad16a87230471ed2c5af0980dfa1668f0"><td class="memTemplItemLeft" align="right" valign="top">Normals::value_type&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00107.html#ad16a87230471ed2c5af0980dfa1668f0">interpolate_unit_normals</a> (const Coordinate &amp;x, const Normals &amp;normals)</td></tr>
<tr class="separator:ad16a87230471ed2c5af0980dfa1668f0"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a870cd1d1b2cb9d977ceab3032db9dca6"><td class="memTemplParams" colspan="2">template&lt;typename Coordinate , typename Field &gt; </td></tr>
<tr class="memitem:a870cd1d1b2cb9d977ceab3032db9dca6"><td class="memTemplItemLeft" align="right" valign="top">bool&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="a00107.html#a870cd1d1b2cb9d977ceab3032db9dca6">inside</a> (const Coordinate &amp;x, const Field &amp;epsilon)</td></tr>
<tr class="separator:a870cd1d1b2cb9d977ceab3032db9dca6"><td class="memSeparator" colspan="2">&#160;</td></tr>
</table>
<h2 class="groupheader">Function Documentation</h2>
<a class="anchor" id="aceaac4969247e38262453f82aca8bedf"></a>
<div class="memitem">
<div class="memproto">
<div class="memtemplate">
template&lt;typename Coordinate , typename Field &gt; </div>
<table class="mlabels">
  <tr>
  <td class="mlabels-left">
      <table class="memname">
        <tr>
          <td class="memname">Coordinate Dune::GridGlue::ProjectionImplementation::corner </td>
          <td>(</td>
          <td class="paramtype">unsigned&#160;</td>
          <td class="paramname"><em>c</em></td><td>)</td>
          <td></td>
        </tr>
      </table>
  </td>
  <td class="mlabels-right">
<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
  </tr>
</table>
</div><div class="memdoc">
<p>Return corner coordinates of a simplex.</p>
<p>Given the number <code>c</code> of a corner, this function returns the coordinate of the <code>c</code>th corner of the standard simplex with the same dimension as <code>Coordinate</code>.</p>
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">c</td><td>corner number </td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>coordinate of <code>c</code>th corner of the standard simplex </dd></dl>

<p>Referenced by <a class="el" href="a00010.html#a7c9f996e92d0c0874c04b4fda3464aea">Dune::GridGlue::ConformingMerge&lt; dim, dimworld, T &gt;::ConformingMerge()</a>, <a class="el" href="a00063.html#a673c9012160a2b6330099acfa8771c75">Dune::GridGlue::StandardMerge&lt; T, dim1, dim2, dimworld &gt;::enableBruteForce()</a>, and <a class="el" href="a00063.html#afb62b35e1623927b1be7d834a78405b9">Dune::GridGlue::StandardMerge&lt; T, grid1Dim, grid2Dim, dimworld &gt;::nSimplices()</a>.</p>

</div>
</div>
<a class="anchor" id="a6862697106891aa590435d076e949702"></a>
<div class="memitem">
<div class="memproto">
<table class="mlabels">
  <tr>
  <td class="mlabels-left">
      <table class="memname">
        <tr>
          <td class="memname">std::pair&lt;unsigned, unsigned&gt; Dune::GridGlue::ProjectionImplementation::edgeToCorners </td>
          <td>(</td>
          <td class="paramtype">unsigned&#160;</td>
          <td class="paramname"><em>edge</em></td><td>)</td>
          <td></td>
        </tr>
      </table>
  </td>
  <td class="mlabels-right">
<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
  </tr>
</table>
</div><div class="memdoc">
<p>Translate edge to corner numbers.</p>
<p>Given the number <code>edge</code> of an edge of a triangle, this function returns the number of the corners belonging to it.</p>
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">edge</td><td>edge number of a triangle </td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>numbers of corners of the edge </dd></dl>

<p>Referenced by <a class="el" href="a00043.html#a4f1e3bfbc87fcad521b8bdb2890b64f0">Dune::GridGlue::Projection&lt; Coordinate &gt;::epsilon()</a>.</p>

</div>
</div>
<a class="anchor" id="a870cd1d1b2cb9d977ceab3032db9dca6"></a>
<div class="memitem">
<div class="memproto">
<div class="memtemplate">
template&lt;typename Coordinate , typename Field &gt; </div>
<table class="mlabels">
  <tr>
  <td class="mlabels-left">
      <table class="memname">
        <tr>
          <td class="memname">bool Dune::GridGlue::ProjectionImplementation::inside </td>
          <td>(</td>
          <td class="paramtype">const Coordinate &amp;&#160;</td>
          <td class="paramname"><em>x</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">const Field &amp;&#160;</td>
          <td class="paramname"><em>epsilon</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
  </td>
  <td class="mlabels-right">
<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
  </tr>
</table>
</div><div class="memdoc">
<p>Check if the point <code>x</code> is inside the standard simplex.</p>
<p>This functions checks if the point <code>x</code> is in the inside (or on the boundary) of the standard simplex, that is <code>xᵢ ≥ 0</code> and <code>∑ xᵢ ≤ 1</code>.</p>
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">x</td><td>coordinates of point to check </td></tr>
    <tr><td class="paramname">epsilon</td><td>tolerance used for floating-point comparisions </td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd><code>true</code> if <code>x</code> is inside, <code>false</code> otherwise </dd></dl>

<p>References <a class="el" href="a00043.html#a0f443c28663148f72a8671a2ef9d096e">Dune::GridGlue::Projection&lt; Coordinate &gt;::Projection()</a>.</p>

<p>Referenced by <a class="el" href="a00043.html#a4f1e3bfbc87fcad521b8bdb2890b64f0">Dune::GridGlue::Projection&lt; Coordinate &gt;::epsilon()</a>.</p>

</div>
</div>
<a class="anchor" id="a6cad77ef0322dd2d36743bee614e74e6"></a>
<div class="memitem">
<div class="memproto">
<div class="memtemplate">
template&lt;typename Coordinate , typename Corners &gt; </div>
<table class="mlabels">
  <tr>
  <td class="mlabels-left">
      <table class="memname">
        <tr>
          <td class="memname">Corners::value_type Dune::GridGlue::ProjectionImplementation::interpolate </td>
          <td>(</td>
          <td class="paramtype">const Coordinate &amp;&#160;</td>
          <td class="paramname"><em>x</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">const Corners &amp;&#160;</td>
          <td class="paramname"><em>corners</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
  </td>
  <td class="mlabels-right">
<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
  </tr>
</table>
</div><div class="memdoc">
<p>Convert barycentric coordinates to euclidian coordinates.</p>
<p>This function converts barycentric coordinates <code>x</code> with respect to the triangle with corners <code>corners</code> to euclidian coordinates. For the result <code>y</code> the following equation holds: <code>yᵢ = (cornersᵢ₊₁ - corners₀) xᵢ</code></p>
<p>Note that this can also be for linear interpolation of normals given on the corners, but this does not preserve the norm (e.g. for unit normals).</p>
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">x</td><td>barycentric coordinates </td></tr>
    <tr><td class="paramname">corners</td><td>coordinates or normals at the corners </td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>euclidian coordinates or interpolated normal </dd></dl>

<p>Referenced by <a class="el" href="a00043.html#a4f1e3bfbc87fcad521b8bdb2890b64f0">Dune::GridGlue::Projection&lt; Coordinate &gt;::epsilon()</a>, <a class="el" href="a00107.html#ad16a87230471ed2c5af0980dfa1668f0">interpolate_unit_normals()</a>, <a class="el" href="a00108.html#a84bdedfab7dc7e7f9ed2f0ea09499414">Dune::GridGlue::ProjectionWriterImplementation::write_edge_intersection_points()</a>, and <a class="el" href="a00108.html#a20f7b27dad92956efe88514a4a3970ad">Dune::GridGlue::ProjectionWriterImplementation::write_points()</a>.</p>

</div>
</div>
<a class="anchor" id="ad16a87230471ed2c5af0980dfa1668f0"></a>
<div class="memitem">
<div class="memproto">
<div class="memtemplate">
template&lt;typename Coordinate , typename Normals &gt; </div>
<table class="mlabels">
  <tr>
  <td class="mlabels-left">
      <table class="memname">
        <tr>
          <td class="memname">Normals::value_type Dune::GridGlue::ProjectionImplementation::interpolate_unit_normals </td>
          <td>(</td>
          <td class="paramtype">const Coordinate &amp;&#160;</td>
          <td class="paramname"><em>x</em>, </td>
        </tr>
        <tr>
          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">const Normals &amp;&#160;</td>
          <td class="paramname"><em>normals</em>&#160;</td>
        </tr>
        <tr>
          <td></td>
          <td>)</td>
          <td></td><td></td>
        </tr>
      </table>
  </td>
  <td class="mlabels-right">
<span class="mlabels"><span class="mlabel">inline</span></span>  </td>
  </tr>
</table>
</div><div class="memdoc">
<p>Interpolate between unit normals on corners of a simplex.</p>
<p>This functions interpolates between unit normals given on corners of a simplex using linear interpolation.</p>
<dl class="params"><dt>Parameters</dt><dd>
  <table class="params">
    <tr><td class="paramname">x</td><td>barycentric coordinates </td></tr>
    <tr><td class="paramname">normals</td><td>unit normals at corners </td></tr>
  </table>
  </dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>unit normal at <code>x</code>  <a class="el" href="a00107.html#a6cad77ef0322dd2d36743bee614e74e6">interpolate(const Coordinate&amp;, const Corners&amp;)</a> </dd></dl>

<p>References <a class="el" href="a00107.html#a6cad77ef0322dd2d36743bee614e74e6">interpolate()</a>.</p>

<p>Referenced by <a class="el" href="a00043.html#a4f1e3bfbc87fcad521b8bdb2890b64f0">Dune::GridGlue::Projection&lt; Coordinate &gt;::epsilon()</a>, <a class="el" href="a00108.html#acba14119e369d32663687241e6abcca5">Dune::GridGlue::ProjectionWriterImplementation::write_edge_intersection_normals()</a>, and <a class="el" href="a00108.html#a127c7fdc1ce8ef1da9e80e5e4dc6189d">Dune::GridGlue::ProjectionWriterImplementation::write_normals()</a>.</p>

</div>
</div>
</div><!-- contents -->
<!-- start footer part -->
<hr class="footer"/><address class="footer"><small>
Generated by &#160;<a href="http://www.doxygen.org/index.html">
<img class="footer" src="doxygen.png" alt="doxygen"/>
</a> 1.8.11
</small></address>
</body>
</html>

APT Browse - Built by Thomas Orozco.