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Buggy, must check why interpolator assignment destroys precomputed data.
author Jordi Guitérrez Hermoso <jordigh@gmail.com>
date Sun, 29 Jun 2008 04:06:48 -0500
parents 4fa56dc7e271
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<h1>rbf::gaussian Class Reference</h1><!-- doxytag: class="rbf::gaussian" --><!-- doxytag: inherits="rbf::c_infty_rbf" -->exp(- (eps*r)^2) with eps &gt; 0.  
<a href="#_details">More...</a>
<p>
<code>#include &lt;<a class="el" href="rbf_8hpp-source.html">rbf.hpp</a>&gt;</code>
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Inheritance diagram for rbf::gaussian:</div>
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<a href="classrbf_1_1gaussian-members.html">List of all members.</a><table border="0" cellpadding="0" cellspacing="0">
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<tr><td colspan="2"><br><h2>Public Member Functions</h2></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classrbf_1_1gaussian.html#545d3fa74d3bd635ba1c7e4a40609aef">gaussian</a> ()</td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classrbf_1_1gaussian.html#f6f4e830c3af8c8a5d8b81685a3abc94">gaussian</a> (const <a class="el" href="classlinalg_1_1vector.html">point</a> &amp;c)</td></tr>

<tr><td colspan="2"><br><h2>Private Member Functions</h2></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classrbf_1_1gaussian.html#ebecc13ca122f36fd95d7f9bc347a91e">operator()</a> (double r) const </td></tr>

<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">The scalar functions defining each RBF.  <a href="#ebecc13ca122f36fd95d7f9bc347a91e"></a><br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classrbf_1_1gaussian.html#af74dfa24625e952f3ed28b50cb5168d">d</a> (double r) const </td></tr>

<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">The scalar first derivative defining each RBF.  <a href="#af74dfa24625e952f3ed28b50cb5168d"></a><br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top">double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classrbf_1_1gaussian.html#991123e6a209bf7308904fb390d55938">d2</a> (double r) const </td></tr>

<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">The scalar second derivative defining each RBF.  <a href="#991123e6a209bf7308904fb390d55938"></a><br></td></tr>
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<hr><a name="_details"></a><h2>Detailed Description</h2>
exp(- (eps*r)^2) with eps &gt; 0. <hr><h2>Constructor &amp; Destructor Documentation</h2>
<a class="anchor" name="545d3fa74d3bd635ba1c7e4a40609aef"></a><!-- doxytag: member="rbf::gaussian::gaussian" ref="545d3fa74d3bd635ba1c7e4a40609aef" args="()" -->
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          <td class="memname">rbf::gaussian::gaussian           </td>
          <td>(</td>
          <td class="paramname">          </td>
          <td>&nbsp;)&nbsp;</td>
          <td><code> [inline]</code></td>
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<div class="fragment"><pre class="fragment"><a name="l00220"></a>00220 {};
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<a class="anchor" name="f6f4e830c3af8c8a5d8b81685a3abc94"></a><!-- doxytag: member="rbf::gaussian::gaussian" ref="f6f4e830c3af8c8a5d8b81685a3abc94" args="(const point &amp;c)" -->
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          <td class="memname">rbf::gaussian::gaussian           </td>
          <td>(</td>
          <td class="paramtype">const <a class="el" href="classlinalg_1_1vector.html">point</a> &amp;&nbsp;</td>
          <td class="paramname"> <em>c</em>          </td>
          <td>&nbsp;)&nbsp;</td>
          <td><code> [inline]</code></td>
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<div class="fragment"><pre class="fragment"><a name="l00221"></a>00221 : <a class="code" href="classrbf_1_1c__infty__rbf.html#f743614cfdee80f859c88079c057439c">c_infty_rbf</a>(c){;};
</pre></div>
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<hr><h2>Member Function Documentation</h2>
<a class="anchor" name="ebecc13ca122f36fd95d7f9bc347a91e"></a><!-- doxytag: member="rbf::gaussian::operator()" ref="ebecc13ca122f36fd95d7f9bc347a91e" args="(double r) const " -->
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          <td class="memname">double rbf::gaussian::operator()           </td>
          <td>(</td>
          <td class="paramtype">double&nbsp;</td>
          <td class="paramname"> <em>r</em>          </td>
          <td>&nbsp;)&nbsp;</td>
          <td> const<code> [private, virtual]</code></td>
        </tr>
      </table>
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The scalar functions defining each RBF. 
<p>

<p>Implements <a class="el" href="classrbf_1_1radial__basis__function.html#ca1d152380fa43082c710a07f28080be">rbf::radial_basis_function</a>.</p>
<div class="fragment"><pre class="fragment"><a name="l00424"></a>00424                                             {
<a name="l00425"></a>00425     <span class="keywordflow">return</span> exp(-gsl_pow_2(<a class="code" href="classrbf_1_1c__infty__rbf.html#f8bfa9b9f7f7b2a82a05cee62487b601" title="Shape parameter.">eps</a>*r));
<a name="l00426"></a>00426   }
</pre></div>
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<a class="anchor" name="af74dfa24625e952f3ed28b50cb5168d"></a><!-- doxytag: member="rbf::gaussian::d" ref="af74dfa24625e952f3ed28b50cb5168d" args="(double r) const " -->
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          <td class="memname">double rbf::gaussian::d           </td>
          <td>(</td>
          <td class="paramtype">double&nbsp;</td>
          <td class="paramname"> <em>r</em>          </td>
          <td>&nbsp;)&nbsp;</td>
          <td> const<code> [private, virtual]</code></td>
        </tr>
      </table>
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<p>
The scalar first derivative defining each RBF. 
<p>

<p>Implements <a class="el" href="classrbf_1_1radial__basis__function.html#0aa55b82614330604e8ea63b8aef419a">rbf::radial_basis_function</a>.</p>
<div class="fragment"><pre class="fragment"><a name="l00428"></a>00428                                    {
<a name="l00429"></a>00429     <span class="keywordflow">return</span> -2*<a class="code" href="classrbf_1_1c__infty__rbf.html#f8bfa9b9f7f7b2a82a05cee62487b601" title="Shape parameter.">eps</a>*<a class="code" href="classrbf_1_1c__infty__rbf.html#f8bfa9b9f7f7b2a82a05cee62487b601" title="Shape parameter.">eps</a>*fabs(r) * exp(-gsl_pow_2(<a class="code" href="classrbf_1_1c__infty__rbf.html#f8bfa9b9f7f7b2a82a05cee62487b601" title="Shape parameter.">eps</a>*r));
<a name="l00430"></a>00430   }
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<a class="anchor" name="991123e6a209bf7308904fb390d55938"></a><!-- doxytag: member="rbf::gaussian::d2" ref="991123e6a209bf7308904fb390d55938" args="(double r) const " -->
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          <td class="memname">double rbf::gaussian::d2           </td>
          <td>(</td>
          <td class="paramtype">double&nbsp;</td>
          <td class="paramname"> <em>r</em>          </td>
          <td>&nbsp;)&nbsp;</td>
          <td> const<code> [private, virtual]</code></td>
        </tr>
      </table>
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<p>
The scalar second derivative defining each RBF. 
<p>

<p>Implements <a class="el" href="classrbf_1_1radial__basis__function.html#97c9b2a2a93d7133d57cbecf7c3996ac">rbf::radial_basis_function</a>.</p>
<div class="fragment"><pre class="fragment"><a name="l00432"></a>00432                                     {
<a name="l00433"></a>00433     <span class="keywordtype">double</span> temp = exp(-gsl_pow_2(<a class="code" href="classrbf_1_1c__infty__rbf.html#f8bfa9b9f7f7b2a82a05cee62487b601" title="Shape parameter.">eps</a>*r));
<a name="l00434"></a>00434     <span class="keywordflow">return</span> <a class="code" href="classrbf_1_1c__infty__rbf.html#f8bfa9b9f7f7b2a82a05cee62487b601" title="Shape parameter.">eps</a>*<a class="code" href="classrbf_1_1c__infty__rbf.html#f8bfa9b9f7f7b2a82a05cee62487b601" title="Shape parameter.">eps</a>*(4*gsl_pow_2(<a class="code" href="classrbf_1_1c__infty__rbf.html#f8bfa9b9f7f7b2a82a05cee62487b601" title="Shape parameter.">eps</a>*r) - 2) * temp;
<a name="l00435"></a>00435       
<a name="l00436"></a>00436   }
</pre></div>
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<hr>The documentation for this class was generated from the following files:<ul>
<li>include/<a class="el" href="rbf_8hpp-source.html">rbf.hpp</a><li><a class="el" href="rbf_8cpp.html">rbf.cpp</a></ul>
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