Stokhos Package Browser (Single Doxygen Collection)  Version of the Day
 All Classes Namespaces Files Functions Variables Typedefs Enumerations Enumerator Friends Macros Groups Pages
Stokhos_OrthogPolyBasis.hpp
Go to the documentation of this file.
1 // $Id$
2 // $Source$
3 // @HEADER
4 // ***********************************************************************
5 //
6 // Stokhos Package
7 // Copyright (2009) Sandia Corporation
8 //
9 // Under terms of Contract DE-AC04-94AL85000, there is a non-exclusive
10 // license for use of this work by or on behalf of the U.S. Government.
11 //
12 // Redistribution and use in source and binary forms, with or without
13 // modification, are permitted provided that the following conditions are
14 // met:
15 //
16 // 1. Redistributions of source code must retain the above copyright
17 // notice, this list of conditions and the following disclaimer.
18 //
19 // 2. Redistributions in binary form must reproduce the above copyright
20 // notice, this list of conditions and the following disclaimer in the
21 // documentation and/or other materials provided with the distribution.
22 //
23 // 3. Neither the name of the Corporation nor the names of the
24 // contributors may be used to endorse or promote products derived from
25 // this software without specific prior written permission.
26 //
27 // THIS SOFTWARE IS PROVIDED BY SANDIA CORPORATION "AS IS" AND ANY
28 // EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
29 // IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
30 // PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL SANDIA CORPORATION OR THE
31 // CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
32 // EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
33 // PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
34 // PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
35 // LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
36 // NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
37 // SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
38 //
39 // Questions? Contact Eric T. Phipps (etphipp@sandia.gov).
40 //
41 // ***********************************************************************
42 // @HEADER
43 
44 #ifndef STOKHOS_ORTHOGPOLYBASIS_HPP
45 #define STOKHOS_ORTHOGPOLYBASIS_HPP
46 
47 #include <ostream>
48 #include <string>
50 #include "Stokhos_Dense3Tensor.hpp"
52 #include "Teuchos_Array.hpp"
53 #include "Teuchos_ArrayView.hpp"
55 
56 namespace Stokhos {
57 
59 
73  template <typename ordinal_type, typename value_type>
75  public:
76 
79 
81  virtual ~OrthogPolyBasis() {};
82 
84  virtual ordinal_type order() const = 0;
85 
87  virtual ordinal_type dimension() const = 0;
88 
90  virtual ordinal_type size() const = 0;
91 
93 
97  virtual const Teuchos::Array<value_type>& norm_squared() const = 0;
98 
100  virtual const value_type& norm_squared(ordinal_type i) const = 0;
101 
103 
109  virtual
111  computeTripleProductTensor() const = 0;
112 
114  virtual
117 
119  virtual value_type evaluateZero(ordinal_type i) const = 0;
120 
122 
126  virtual void evaluateBases(
128  Teuchos::Array<value_type>& basis_vals) const = 0;
129 
131  virtual void print(std::ostream& os) const = 0;
132 
134  virtual const std::string& getName() const = 0;
135 
136  private:
137 
138  // Prohibit copying
140 
141  // Prohibit Assignment
143 
144  }; // class OrthogPolyBasis
145 
147  template <typename ordinal_type, typename value_type>
148  std::ostream& operator << (std::ostream& os,
150  {
151  b.print(os);
152  return os;
153  }
154 
155 } // Namespace Stokhos
156 
157 #endif // STOKHOS_ORTHOGPOLYBASIS
virtual Teuchos::RCP< Stokhos::Sparse3Tensor< ordinal_type, value_type > > computeTripleProductTensor() const =0
Compute triple product tensor.
virtual ordinal_type order() const =0
Return order of basis.
virtual void evaluateBases(const Teuchos::ArrayView< const value_type > &point, Teuchos::Array< value_type > &basis_vals) const =0
Evaluate basis polynomials at given point point.
OrthogPolyBasis & operator=(const OrthogPolyBasis &b)
virtual ordinal_type dimension() const =0
Return dimension of basis.
virtual ~OrthogPolyBasis()
Destructor.
Abstract base class for multivariate orthogonal polynomials.
std::ostream & operator<<(std::ostream &os, const ProductContainer< coeff_type > &vec)
virtual value_type evaluateZero(ordinal_type i) const =0
Evaluate basis polynomial i at zero.
virtual const Teuchos::Array< value_type > & norm_squared() const =0
Return array storing norm-squared of each basis polynomial.
virtual void print(std::ostream &os) const =0
Print basis to stream os.
virtual Teuchos::RCP< Stokhos::Sparse3Tensor< ordinal_type, value_type > > computeLinearTripleProductTensor() const =0
Compute linear triple product tensor where k = 0,1.
virtual ordinal_type size() const =0
Return total size of basis.
virtual const std::string & getName() const =0
Return string name of basis.