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  <div class="navpath"><b>sc</b>::<a class="el" href="classsc_1_1LebedevLaikovIntegrator.html">LebedevLaikovIntegrator</a>
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<h1>sc::LebedevLaikovIntegrator Class Reference</h1><!-- doxytag: class="sc::LebedevLaikovIntegrator" --><!-- doxytag: inherits="sc::AngularIntegrator" -->An implementation of a Lebedev angular integrator.  
<a href="#_details">More...</a>
<p>
<code>#include &lt;<a class="el" href="integrator_8h_source.html">integrator.h</a>&gt;</code>
<p>
<div class="dynheader">
Inheritance diagram for sc::LebedevLaikovIntegrator:</div>
<div class="dynsection">

<p><center><img src="classsc_1_1LebedevLaikovIntegrator.png" usemap="#sc::LebedevLaikovIntegrator_map" border="0" alt=""></center>
<map name="sc::LebedevLaikovIntegrator_map">
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<area href="classsc_1_1SavableState.html" alt="sc::SavableState" shape="rect" coords="0,168,171,192">
<area href="classsc_1_1DescribedClass.html" alt="sc::DescribedClass" shape="rect" coords="0,112,171,136">
<area href="classsc_1_1RefCount.html" alt="sc::RefCount" shape="rect" coords="0,56,171,80">
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<p>
<a href="classsc_1_1LebedevLaikovIntegrator-members.html">List of all members.</a><table border="0" cellpadding="0" cellspacing="0">
<tr><td></td></tr>
<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="classsc_1_1LebedevLaikovIntegrator.html#735a63eea824e54f65e47e8625869222">LebedevLaikovIntegrator</a> (const <a class="el" href="classsc_1_1Ref.html">Ref</a>&lt; <a class="el" href="classsc_1_1KeyVal.html">KeyVal</a> &gt; &amp;)</td></tr>

<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Construct a <a class="el" href="classsc_1_1LebedevLaikovIntegrator.html" title="An implementation of a Lebedev angular integrator.">LebedevLaikovIntegrator</a> using the given <a class="el" href="classsc_1_1KeyVal.html" title="The KeyVal class is designed to simplify the process of allowing a user to specify...">KeyVal</a> input.  <a href="#735a63eea824e54f65e47e8625869222"></a><br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="07e4156fb387d29777c9c20d473f2cab"></a><!-- doxytag: member="sc::LebedevLaikovIntegrator::LebedevLaikovIntegrator" ref="07e4156fb387d29777c9c20d473f2cab" args="(StateIn &amp;)" -->
&nbsp;</td><td class="memItemRight" valign="bottom"><b>LebedevLaikovIntegrator</b> (<a class="el" href="classsc_1_1StateIn.html">StateIn</a> &amp;)</td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="1d339a38e09dbbb07b3802161944da28"></a><!-- doxytag: member="sc::LebedevLaikovIntegrator::LebedevLaikovIntegrator" ref="1d339a38e09dbbb07b3802161944da28" args="(int)" -->
&nbsp;</td><td class="memItemRight" valign="bottom"><b>LebedevLaikovIntegrator</b> (int)</td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top">void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classsc_1_1LebedevLaikovIntegrator.html#7db5324fda07acc9439d220f2239629a">save_data_state</a> (<a class="el" href="classsc_1_1StateOut.html">StateOut</a> &amp;)</td></tr>

<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Save the base classes (with save_data_state) and the members in the same order that the <a class="el" href="classsc_1_1StateIn.html" title="Restores objects that derive from SavableState.">StateIn</a> CTOR initializes them.  <a href="#7db5324fda07acc9439d220f2239629a"></a><br></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="72e652927ff9e740b3d7ace58a2db5aa"></a><!-- doxytag: member="sc::LebedevLaikovIntegrator::nw" ref="72e652927ff9e740b3d7ace58a2db5aa" args="(void) const " -->
int&nbsp;</td><td class="memItemRight" valign="bottom"><b>nw</b> (void) const </td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="bbb4429b9863bd0ddc650df0bf44fb94"></a><!-- doxytag: member="sc::LebedevLaikovIntegrator::num_angular_points" ref="bbb4429b9863bd0ddc650df0bf44fb94" args="(double r_value, int ir)" -->
int&nbsp;</td><td class="memItemRight" valign="bottom"><b>num_angular_points</b> (double r_value, int ir)</td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="2e54c4add6adebca62d362917deb4191"></a><!-- doxytag: member="sc::LebedevLaikovIntegrator::angular_point_cartesian" ref="2e54c4add6adebca62d362917deb4191" args="(int iangular, double r, SCVector3 &amp;integration_point) const " -->
double&nbsp;</td><td class="memItemRight" valign="bottom"><b>angular_point_cartesian</b> (int iangular, double r, SCVector3 &amp;integration_point) const </td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="16607838bd4a7a00560b1cd1b8139d68"></a><!-- doxytag: member="sc::LebedevLaikovIntegrator::print" ref="16607838bd4a7a00560b1cd1b8139d68" args="(std::ostream &amp;=ExEnv::out0()) const " -->
void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classsc_1_1LebedevLaikovIntegrator.html#16607838bd4a7a00560b1cd1b8139d68">print</a> (std::ostream &amp;=ExEnv::out0()) const </td></tr>

<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Print the object. <br></td></tr>
<tr><td colspan="2"><br><h2>Protected Member Functions</h2></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="64afacd6bdf4225ea8f40fa2863a190a"></a><!-- doxytag: member="sc::LebedevLaikovIntegrator::init" ref="64afacd6bdf4225ea8f40fa2863a190a" args="(int n)" -->
void&nbsp;</td><td class="memItemRight" valign="bottom"><b>init</b> (int n)</td></tr>

<tr><td colspan="2"><br><h2>Protected Attributes</h2></td></tr>
<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="5504cede9fab56b256f76c0fb4835460"></a><!-- doxytag: member="sc::LebedevLaikovIntegrator::npoint_" ref="5504cede9fab56b256f76c0fb4835460" args="" -->
int&nbsp;</td><td class="memItemRight" valign="bottom"><b>npoint_</b></td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="5bc8e7177b32e8826befc55638e33d7d"></a><!-- doxytag: member="sc::LebedevLaikovIntegrator::x_" ref="5bc8e7177b32e8826befc55638e33d7d" args="" -->
double *&nbsp;</td><td class="memItemRight" valign="bottom"><b>x_</b></td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="c11289a006664fe3b5bc5d1ebb578cf1"></a><!-- doxytag: member="sc::LebedevLaikovIntegrator::y_" ref="c11289a006664fe3b5bc5d1ebb578cf1" args="" -->
double *&nbsp;</td><td class="memItemRight" valign="bottom"><b>y_</b></td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="3d3de490f9cde6b76d20f92beee5e211"></a><!-- doxytag: member="sc::LebedevLaikovIntegrator::z_" ref="3d3de490f9cde6b76d20f92beee5e211" args="" -->
double *&nbsp;</td><td class="memItemRight" valign="bottom"><b>z_</b></td></tr>

<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="a3b080761ccf28a8ac2c3aee69921964"></a><!-- doxytag: member="sc::LebedevLaikovIntegrator::w_" ref="a3b080761ccf28a8ac2c3aee69921964" args="" -->
double *&nbsp;</td><td class="memItemRight" valign="bottom"><b>w_</b></td></tr>

</table>
<hr><a name="_details"></a><h2>Detailed Description</h2>
An implementation of a Lebedev angular integrator. 
<p>
It uses code written by Dr. Dmitri N. Laikov.<p>
This can generate grids with the following numbers of points: 6, 14, 26, 38, 50, 74, 86, 110, 146, 170, 194, 230, 266, 302, 350, 386, 434, 482, 530, 590, 650, 698, 770, 830, 890, 974, 1046, 1118, 1202, 1274, 1358, 1454, 1538, 1622, 1730, 1814, 1910, 2030, 2126, 2222, 2354, 2450, 2558, 2702, 2810, 2930, 3074, 3182, 3314, 3470, 3590, 3722, 3890, 4010, 4154, 4334, 4466, 4610, 4802, 4934, 5090, 5294, 5438, 5606, and 5810.<p>
V.I. Lebedev, and D.N. Laikov "A quadrature formula for the sphere of the 131st algebraic order of accuracy" Doklady Mathematics, Vol. 59, No. 3, 1999, pp. 477-481.<p>
V.I. Lebedev "A quadrature formula for the sphere of 59th algebraic order of accuracy" Russian Acad. Sci. Dokl. Math., Vol. 50, 1995, pp. 283-286.<p>
V.I. Lebedev, and A.L. Skorokhodov "Quadrature formulas of orders 41, 47, and 53 for the sphere" Russian Acad. Sci. Dokl. Math., Vol. 45, 1992, pp. 587-592.<p>
V.I. Lebedev "Spherical quadrature formulas exact to orders 25-29" Siberian Mathematical Journal, Vol. 18, 1977, pp. 99-107.<p>
V.I. Lebedev "Quadratures on a sphere" Computational Mathematics and Mathematical Physics, Vol. 16, 1976, pp. 10-24.<p>
V.I. Lebedev "Values of the nodes and weights of ninth to seventeenth order Gauss-Markov quadrature formulae invariant under the octahedron group with inversion" Computational Mathematics and Mathematical Physics, Vol. 15, 1975, pp. 44-51. <hr><h2>Constructor &amp; Destructor Documentation</h2>
<a class="anchor" name="735a63eea824e54f65e47e8625869222"></a><!-- doxytag: member="sc::LebedevLaikovIntegrator::LebedevLaikovIntegrator" ref="735a63eea824e54f65e47e8625869222" args="(const Ref&lt; KeyVal &gt; &amp;)" -->
<div class="memitem">
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          <td class="memname">sc::LebedevLaikovIntegrator::LebedevLaikovIntegrator           </td>
          <td>(</td>
          <td class="paramtype">const <a class="el" href="classsc_1_1Ref.html">Ref</a>&lt; <a class="el" href="classsc_1_1KeyVal.html">KeyVal</a> &gt; &amp;&nbsp;</td>
          <td class="paramname">          </td>
          <td>&nbsp;)&nbsp;</td>
          <td></td>
        </tr>
      </table>
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<div class="memdoc">

<p>
Construct a <a class="el" href="classsc_1_1LebedevLaikovIntegrator.html" title="An implementation of a Lebedev angular integrator.">LebedevLaikovIntegrator</a> using the given <a class="el" href="classsc_1_1KeyVal.html" title="The KeyVal class is designed to simplify the process of allowing a user to specify...">KeyVal</a> input. 
<p>
The <code>n</code> keyword gives the number of angular points. The default is 302. 
</div>
</div><p>
<hr><h2>Member Function Documentation</h2>
<a class="anchor" name="7db5324fda07acc9439d220f2239629a"></a><!-- doxytag: member="sc::LebedevLaikovIntegrator::save_data_state" ref="7db5324fda07acc9439d220f2239629a" args="(StateOut &amp;)" -->
<div class="memitem">
<div class="memproto">
      <table class="memname">
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          <td class="memname">void sc::LebedevLaikovIntegrator::save_data_state           </td>
          <td>(</td>
          <td class="paramtype"><a class="el" href="classsc_1_1StateOut.html">StateOut</a> &amp;&nbsp;</td>
          <td class="paramname">          </td>
          <td>&nbsp;)&nbsp;</td>
          <td><code> [virtual]</code></td>
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      </table>
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<div class="memdoc">

<p>
Save the base classes (with save_data_state) and the members in the same order that the <a class="el" href="classsc_1_1StateIn.html" title="Restores objects that derive from SavableState.">StateIn</a> CTOR initializes them. 
<p>
This must be implemented by the derived class if the class has data. 
<p>Reimplemented from <a class="el" href="classsc_1_1AngularIntegrator.html#5e9a7b6a6e7f8825eb4ccf091e25df35">sc::AngularIntegrator</a>.</p>

</div>
</div><p>
<hr>The documentation for this class was generated from the following file:<ul>
<li><a class="el" href="integrator_8h_source.html">integrator.h</a></ul>
</div>
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