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Stokhos_JacobiBasis.hpp
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1// $Id: Stokhos_JacobiBasis.hpp,v 1.1.1.1 2010/02/10 20:22:35 kevin Exp $
2// $Source: /usr/local/cvs/UQ/Ops/Stokhos_JacobiBasis.hpp,v $
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43
44#ifndef STOKHOS_JACOBIBASIS_HPP
45#define STOKHOS_JACOBIBASIS_HPP
46
48
49namespace Stokhos {
50
52
93 template <typename ordinal_type, typename value_type>
94 class JacobiBasis :
95 public RecurrenceBasis<ordinal_type, value_type> {
96 public:
97
99
103 JacobiBasis(ordinal_type p,
104 value_type alphaIndex,
105 value_type betaIndex, bool normalize = false,
107
109 ~JacobiBasis();
110
112
113
124 virtual Teuchos::RCP<OneDOrthogPolyBasis<ordinal_type,value_type> > cloneWithOrder(ordinal_type p) const;
125
127
128 protected:
129
131
132
134 virtual bool
135 computeRecurrenceCoefficients(ordinal_type n,
136 Teuchos::Array<value_type>& alpha,
137 Teuchos::Array<value_type>& beta,
138 Teuchos::Array<value_type>& delta,
139 Teuchos::Array<value_type>& gamma) const;
140
142
144 JacobiBasis(ordinal_type p, const JacobiBasis& basis);
145
146 private:
147
148 value_type getA(int n) const ;
149 value_type getB(int n) const ;
150 value_type getC(int n) const ;
151 value_type getD(int n) const ;
152 value_type poch3(value_type x) const ;
153
154 // Prohibit copying
156
157 // Prohibit Assignment
159
160 value_type alphaIndex_;
161 value_type betaIndex_;
162
163 }; // class JacobiBasis
164
165} // Namespace Stokhos
166
167// Include template definitions
169
170#endif
Jacobi polynomial basis.
value_type poch3(value_type x) const
virtual bool computeRecurrenceCoefficients(ordinal_type n, Teuchos::Array< value_type > &alpha, Teuchos::Array< value_type > &beta, Teuchos::Array< value_type > &delta, Teuchos::Array< value_type > &gamma) const
Compute recurrence coefficients.
value_type getC(int n) const
JacobiBasis(const JacobiBasis &)
value_type getD(int n) const
value_type getA(int n) const
JacobiBasis(ordinal_type p, value_type alphaIndex, value_type betaIndex, bool normalize=false, GrowthPolicy growth=SLOW_GROWTH)
Constructor.
value_type getB(int n) const
JacobiBasis & operator=(const JacobiBasis &b)
virtual Teuchos::RCP< OneDOrthogPolyBasis< ordinal_type, value_type > > cloneWithOrder(ordinal_type p) const
Clone this object with the option of building a higher order basis.
Implementation of OneDOrthogPolyBasis based on the general three-term recurrence relationship:
GrowthPolicy growth
Smolyak growth policy.
Teuchos::Array< value_type > alpha
Recurrence coefficients.
Teuchos::Array< value_type > beta
Recurrence coefficients.
ordinal_type p
Order of basis.
Teuchos::Array< value_type > gamma
Recurrence coefficients.
Teuchos::Array< value_type > delta
Recurrence coefficients.
Top-level namespace for Stokhos classes and functions.
GrowthPolicy
Enumerated type for determining Smolyak growth policies.