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<hr><h1>sc::LebedevLaikovIntegrator  Class Reference</h1>An implementation of a Lebedev angular integrator. 
<a href="#_details">More...</a>
<p>
<code>#include &lt;<a class="el" href="integrator_h-source.html">integrator.h</a>&gt;</code>
<p>
Inheritance diagram for sc::LebedevLaikovIntegrator<p><center><img src="class_sc__LebedevLaikovIntegrator_inherit_graph.gif" border="0" usemap="#sc::LebedevLaikovIntegrator_inherit_map" alt="Inheritance graph"></center>
<map name="sc::LebedevLaikovIntegrator_inherit_map">
<area href="class_sc__AngularIntegrator.html" shape="rect" coords="34,280,162,299">
<area href="class_sc__SavableState.html" shape="rect" coords="47,213,149,232">
<area href="class_sc__DescribedClass.html" shape="rect" coords="41,147,155,165">
<area href="class_sc__RefCount.html" shape="rect" coords="57,80,139,99">
<area href="class_sc__Identity.html" shape="rect" coords="62,13,134,32">
</map>
<center><font size="2">[<a href="graph_legend.html">legend</a>]</font></center>Collaboration diagram for sc::LebedevLaikovIntegrator:<p><center><img src="class_sc__LebedevLaikovIntegrator_coll_graph.gif" border="0" usemap="#sc::LebedevLaikovIntegrator_coll_map" alt="Collaboration graph"></center>
<map name="sc::LebedevLaikovIntegrator_coll_map">
<area href="class_sc__AngularIntegrator.html" shape="rect" coords="34,280,162,299">
<area href="class_sc__SavableState.html" shape="rect" coords="47,213,149,232">
<area href="class_sc__DescribedClass.html" shape="rect" coords="41,147,155,165">
<area href="class_sc__RefCount.html" shape="rect" coords="57,80,139,99">
<area href="class_sc__Identity.html" shape="rect" coords="62,13,134,32">
</map>
<center><font size="2">[<a href="graph_legend.html">legend</a>]</font></center><a href="class_sc__LebedevLaikovIntegrator-members.html">List of all members.</a><table border=0 cellpadding=0 cellspacing=0>
<tr><td colspan=2><br><h2>Public Methods</h2></td></tr>
<tr><td nowrap align=right valign=top><a name="a0" doxytag="sc::LebedevLaikovIntegrator::LebedevLaikovIntegrator"></a>
&nbsp;</td><td valign=bottom><b>LebedevLaikovIntegrator</b> ()</td></tr>
<tr><td nowrap align=right valign=top><a name="a1" doxytag="sc::LebedevLaikovIntegrator::LebedevLaikovIntegrator"></a>
&nbsp;</td><td valign=bottom><b>LebedevLaikovIntegrator</b> (const <a class="el" href="class_sc__Ref.html">Ref</a>&lt; <a class="el" href="class_sc__KeyVal.html">KeyVal</a> &gt; &amp;)</td></tr>
<tr><td nowrap align=right valign=top><a name="a2" doxytag="sc::LebedevLaikovIntegrator::LebedevLaikovIntegrator"></a>
&nbsp;</td><td valign=bottom><b>LebedevLaikovIntegrator</b> (<a class="el" href="class_sc__StateIn.html">StateIn</a> &amp;)</td></tr>
<tr><td nowrap align=right valign=top><a name="a3" doxytag="sc::LebedevLaikovIntegrator::LebedevLaikovIntegrator"></a>
&nbsp;</td><td valign=bottom><b>LebedevLaikovIntegrator</b> (int)</td></tr>
<tr><td nowrap align=right valign=top><a name="a4" doxytag="sc::LebedevLaikovIntegrator::~LebedevLaikovIntegrator"></a>
&nbsp;</td><td valign=bottom><b>~LebedevLaikovIntegrator</b> ()</td></tr>
<tr><td nowrap align=right valign=top>void&nbsp;</td><td valign=bottom><a class="el" href="class_sc__LebedevLaikovIntegrator.html#a5">save_data_state</a> (<a class="el" href="class_sc__StateOut.html">StateOut</a> &amp;)</td></tr>
<tr><td>&nbsp;</td><td><font size=-1><em>Save the base classes (with save_data_state) and the members in the same order that the <a class="el" href="class_sc__StateIn.html">StateIn</a> CTOR initializes them.</em> <a href="#a5">More...</a><em></em></font><br><br></td></tr>
<tr><td nowrap align=right valign=top><a name="a6" doxytag="sc::LebedevLaikovIntegrator::nw"></a>
int&nbsp;</td><td valign=bottom><b>nw</b> (void) const</td></tr>
<tr><td nowrap align=right valign=top><a name="a7" doxytag="sc::LebedevLaikovIntegrator::num_angular_points"></a>
int&nbsp;</td><td valign=bottom><b>num_angular_points</b> (double r_value, int ir)</td></tr>
<tr><td nowrap align=right valign=top><a name="a8" doxytag="sc::LebedevLaikovIntegrator::angular_point_cartesian"></a>
double&nbsp;</td><td valign=bottom><b>angular_point_cartesian</b> (int iangular, double r, SCVector3 &amp;integration_point) const</td></tr>
<tr><td nowrap align=right valign=top><a name="a9" doxytag="sc::LebedevLaikovIntegrator::print"></a>
void&nbsp;</td><td valign=bottom><a class="el" href="class_sc__LebedevLaikovIntegrator.html#a9">print</a> (std::ostream &amp;=ExEnv::out0()) const</td></tr>
<tr><td>&nbsp;</td><td><font size=-1><em>Print the object.</em></font><br><br></td></tr>
<tr><td colspan=2><br><h2>Protected Methods</h2></td></tr>
<tr><td nowrap align=right valign=top><a name="b0" doxytag="sc::LebedevLaikovIntegrator::init"></a>
void&nbsp;</td><td valign=bottom><b>init</b> (int n)</td></tr>
<tr><td colspan=2><br><h2>Protected Attributes</h2></td></tr>
<tr><td nowrap align=right valign=top><a name="n0" doxytag="sc::LebedevLaikovIntegrator::npoint_"></a>
int&nbsp;</td><td valign=bottom><b>npoint_</b></td></tr>
<tr><td nowrap align=right valign=top><a name="n1" doxytag="sc::LebedevLaikovIntegrator::x_"></a>
double*&nbsp;</td><td valign=bottom><b>x_</b></td></tr>
<tr><td nowrap align=right valign=top><a name="n2" doxytag="sc::LebedevLaikovIntegrator::y_"></a>
double *&nbsp;</td><td valign=bottom><b>y_</b></td></tr>
<tr><td nowrap align=right valign=top><a name="n3" doxytag="sc::LebedevLaikovIntegrator::z_"></a>
double *&nbsp;</td><td valign=bottom><b>z_</b></td></tr>
<tr><td nowrap align=right valign=top><a name="n4" doxytag="sc::LebedevLaikovIntegrator::w_"></a>
double *&nbsp;</td><td 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. 
<p>
<hr><h2>Member Function Documentation</h2>
<a name="a5" doxytag="sc::LebedevLaikovIntegrator::save_data_state"></a><p>
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void sc::LebedevLaikovIntegrator::save_data_state (
          </b></td>
          <td valign="bottom"><b>
<a class="el" href="class_sc__StateOut.html">StateOut</a> &amp; <em>s</em>&nbsp;)<code> [virtual]</code>
          </b></td>
        </tr>

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    </td>
  </tr>
</table>
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    <td>
      &nbsp;
    </td>
    <td>

<p>
Save the base classes (with save_data_state) and the members in the same order that the <a class="el" href="class_sc__StateIn.html">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="class_sc__AngularIntegrator.html#a4">sc::AngularIntegrator</a>.    </td>
  </tr>
</table>
<hr>The documentation for this class was generated from the following file:<ul>
<li><a class="el" href="integrator_h-source.html">integrator.h</a></ul>
<hr>
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