Intrepid
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00043 
00049 #ifndef INTREPID_ORTHOGONALBASES_HPP
00050 #define INTREPID_ORTHGONALBASES_HPP
00051 
00052 #include "Intrepid_ConfigDefs.hpp"
00053 #include "Intrepid_Types.hpp"
00054 #include "Intrepid_Utils.hpp"
00055 #include "Teuchos_Array.hpp"
00056 #include "Teuchos_RCP.hpp"
00057 #include "Teuchos_BLAS.hpp"
00058 #include "Teuchos_oblackholestream.hpp"
00059 #include "Teuchos_Assert.hpp"
00060 
00061 namespace Intrepid {
00062   
00080   class OrthogonalBases {
00081   public:
00082     OrthogonalBases() {;}
00083     ~OrthogonalBases() {;}
00084 
00097     template<class Scalar, class ScalarArray1, class ScalarArray2>
00098     static void tabulateTriangle( const ScalarArray1& z ,
00099                                   const int n ,
00100                                   ScalarArray2 & poly_val );
00101 
00114     template<class Scalar, class ScalarArray1, class ScalarArray2>
00115     static void tabulateTetrahedron( const ScalarArray1& z ,
00116                                     const int n ,
00117                                     ScalarArray2 & poly_val );
00118     
00119   private:
00126     template<class Scalar>
00127     static void jrc( const Scalar &alpha , const Scalar &beta , const int &n ,
00128                     Scalar &an , Scalar &bn, Scalar &cn );
00129 
00132     static inline int idxtri(int p, int q)
00133     {
00134       return (p+q)*(p+q+1)/2+q;
00135     }
00136 
00139     static inline int idxtet(int p, int q, int r)
00140     {
00141       return (p+q+r)*(p+q+r+1)*(p+q+r+2)/6+(q+r)*(q+r+1)/2+r;
00142     }
00143 
00144 
00145   }; // class OrthogonalBases
00146 } // namespace Intrepid
00147 
00148 #include "Intrepid_OrthogonalBasesDef.hpp"
00149 
00150 #endif
00151 
00152     
00153 
00154 
00155 
00156