SundanceGaussLobatto1D.hpp
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00001 /* @HEADER@ */
00002 // ************************************************************************
00003 // 
00004 //                              Sundance
00005 //                 Copyright (2005) Sandia Corporation
00006 // 
00007 // Copyright (year first published) Sandia Corporation.  Under the terms 
00008 // of Contract DE-AC04-94AL85000 with Sandia Corporation, the U.S. Government 
00009 // retains certain rights in this software.
00010 // 
00011 // This library is free software; you can redistribute it and/or modify
00012 // it under the terms of the GNU Lesser General Public License as
00013 // published by the Free Software Foundation; either version 2.1 of the
00014 // License, or (at your option) any later version.
00015 //  
00016 // This library is distributed in the hope that it will be useful, but
00017 // WITHOUT ANY WARRANTY; without even the implied warranty of
00018 // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
00019 // Lesser General Public License for more details.
00020 //                                                                                 
00021 // You should have received a copy of the GNU Lesser General Public
00022 // License along with this library; if not, write to the Free Software
00023 // Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307
00024 // USA                                                                                
00025 // Questions? Contact Kevin Long (krlong@sandia.gov), 
00026 // Sandia National Laboratories, Livermore, California, USA
00027 // 
00028 // ************************************************************************
00029 /* @HEADER@ */
00030 
00031 #ifndef SUNDANCE_GAUSSLOBATTO1D_H
00032 #define SUNDANCE_GAUSSLOBATTO1D_H
00033 
00034 #include "SundanceDefs.hpp"
00035 #include "Teuchos_Array.hpp"
00036 
00037 #ifndef DOXYGEN_DEVELOPER_ONLY
00038 
00039 namespace Sundance
00040 {
00041   using namespace Teuchos;
00042 
00043     /**
00044      * Get abscissas and weights for Gauss-Lobatto-Legendre quadrature
00045      * on a line segment.
00046      */
00047     class GaussLobatto1D
00048     {
00049     public:
00050       /** create an n-point rule on the interval [-1, 1] */
00051       GaussLobatto1D(int n);
00052       /** create an n-point rule on the interval [a, b] */
00053       GaussLobatto1D(int n, double a, double b);
00054 
00055       /** return the number of points in the rule */
00056       int nPoints() const {return nodes_.length();}
00057       /** get the abscissas */
00058       const Array<double>& nodes() const {return nodes_;}
00059       /** get the weights */
00060       const Array<double>& weights() const {return weights_;}
00061 
00062       static bool unitTest();
00063     private:
00064       void computeWeights(int n, double a, double b);
00065 
00066       Array<double> nodes_;
00067       Array<double> weights_;
00068     };
00069 }
00070 
00071 #endif  /* DOXYGEN_DEVELOPER_ONLY */
00072 
00073 #endif

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