Intrepid
Intrepid_OrthogonalBases.hpp
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43 
49 #ifndef INTREPID_ORTHOGONALBASES_HPP
50 #define INTREPID_ORTHGONALBASES_HPP
51 
52 #include "Intrepid_ConfigDefs.hpp"
53 #include "Intrepid_Types.hpp"
54 #include "Intrepid_Utils.hpp"
55 #include "Teuchos_Array.hpp"
56 #include "Teuchos_RCP.hpp"
57 #include "Teuchos_BLAS.hpp"
58 #include "Teuchos_oblackholestream.hpp"
59 #include "Teuchos_Assert.hpp"
60 
61 namespace Intrepid {
62 
81  public:
82  OrthogonalBases() {;}
83  ~OrthogonalBases() {;}
84 
97  template<class Scalar, class ScalarArray1, class ScalarArray2>
98  static void tabulateTriangle( const ScalarArray1& z ,
99  const int n ,
100  ScalarArray2 & poly_val );
101 
114  template<class Scalar, class ScalarArray1, class ScalarArray2>
115  static void tabulateTetrahedron( const ScalarArray1& z ,
116  const int n ,
117  ScalarArray2 & poly_val );
118 
119  private:
126  template<class Scalar>
127  static void jrc( const Scalar &alpha , const Scalar &beta , const int &n ,
128  Scalar &an , Scalar &bn, Scalar &cn );
129 
132  static inline int idxtri(int p, int q)
133  {
134  return (p+q)*(p+q+1)/2+q;
135  }
136 
139  static inline int idxtet(int p, int q, int r)
140  {
141  return (p+q+r)*(p+q+r+1)*(p+q+r+2)/6+(q+r)*(q+r+1)/2+r;
142  }
143 
144 
145  }; // class OrthogonalBases
146 } // namespace Intrepid
147 
148 #include "Intrepid_OrthogonalBasesDef.hpp"
149 
150 #endif
151 
152 
153 
154 
155 
156 
Contains definitions of custom data types in Intrepid.
Intrepid utilities.
static void tabulateTriangle(const ScalarArray1 &z, const int n, ScalarArray2 &poly_val)
Calculates triangular orthogonal expansions (e.g. Dubiner basis) at a range of input points.
static int idxtet(int p, int q, int r)
Given indices p,q,r, computes the linear index of the tetrahedral polynomial D^{p,...
static void tabulateTetrahedron(const ScalarArray1 &z, const int n, ScalarArray2 &poly_val)
Calculates triangular orthogonal expansions (e.g. Dubiner basis) at a range of input points.
static void jrc(const Scalar &alpha, const Scalar &beta, const int &n, Scalar &an, Scalar &bn, Scalar &cn)
computes Jacobi recurrence coefficients of order n with weights a,b so that P^{alpha,...
static int idxtri(int p, int q)
Given indices p,q, computes the linear index of the Dubiner polynomial D^{p,q}.