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_FEKETETRIANGLEQUADRATURE_H 00032 #define SUNDANCE_FEKETETRIANGLEQUADRATURE_H 00033 00034 #include "SundanceDefs.hpp" 00035 #include "Teuchos_Array.hpp" 00036 00037 namespace Sundance 00038 { 00039 00040 using namespace Teuchos; 00041 00042 /** 00043 * Get abscissas and weights for Fekete point quadrature on triangles 00044 */ 00045 00046 class FeketeTriangleQuadrature 00047 { 00048 public: 00049 static void getPoints(int order, Array<double>& wgt, Array<double>& x, 00050 Array<double>& y); 00051 00052 static bool test(int p); 00053 00054 static int maxOrder() 00055 { 00056 return 9; 00057 } 00058 00059 static bool supportsOrder(int order); 00060 00061 static void 00062 evalPKDpolynomials(int order, double x, double y, double* resultPtr); 00063 00064 static void computeBasisCoeffs(const int order, Array<double>& basisCoeffs); 00065 00066 private: 00067 00068 static void permute(int m, const Array<double>& q, 00069 Array<Array<double> >& qPerm); 00070 00071 static double exact(int a, int b, int c); 00072 00073 static double fact(int x); 00074 00075 }; 00076 } 00077 00078 #endif