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Stokhos_CompletePolynomialBasis.hpp
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41 
42 #ifndef STOKHOS_COMPLETEPOLYNOMIALBASIS_HPP
43 #define STOKHOS_COMPLETEPOLYNOMIALBASIS_HPP
44 
45 #include "Teuchos_RCP.hpp"
47 
48 #include "Stokhos_ProductBasis.hpp"
49 #include "Stokhos_DerivBasis.hpp"
52 
53 namespace Stokhos {
54 
71  template <typename ordinal_type, typename value_type>
73  public ProductBasis<ordinal_type,value_type>,
74  public DerivBasis<ordinal_type, value_type> {
75  public:
76 
78 
91  value_type> > >& bases,
92  const value_type& sparse_tol = 1.0e-12,
93  bool use_old_cijk_alg = false,
94  const Teuchos::RCP< Teuchos::Array<value_type> >& deriv_coeffs = Teuchos::null);
95 
97  virtual ~CompletePolynomialBasis();
98 
100 
101 
103  ordinal_type order() const;
104 
106  ordinal_type dimension() const;
107 
109  virtual ordinal_type size() const;
110 
112 
116  virtual const Teuchos::Array<value_type>& norm_squared() const;
117 
119  virtual const value_type& norm_squared(ordinal_type i) const;
120 
122 
128  virtual
131 
133  virtual
136 
138  virtual value_type evaluateZero(ordinal_type i) const;
139 
141 
145  virtual void evaluateBases(
147  Teuchos::Array<value_type>& basis_vals) const;
148 
150  virtual void print(std::ostream& os) const;
151 
153  virtual const std::string& getName() const;
154 
156 
158 
159 
161 
166  virtual const MultiIndex<ordinal_type>& term(ordinal_type i) const;
167 
169 
173  virtual ordinal_type index(const MultiIndex<ordinal_type>& term) const;
174 
176 
180  value_type> > >
181  getCoordinateBases() const;
182 
184  virtual MultiIndex<ordinal_type> getMaxOrders() const;
185 
187 
189 
190 
201  virtual
206  ) const;
207 
217  virtual
220 
222 
223  protected:
224 
226  virtual
229 
231  virtual
234 
235  private:
236 
237  // Prohibit copying
239 
240  // Prohibit Assignment
242 
243  protected:
244 
246 
248  std::string name;
249 
252 
255 
258 
261 
264 
267 
270 
273 
276 
279 
282 
285 
288 
289  }; // class CompletePolynomialBasis
290 
291 } // Namespace Stokhos
292 
293 // Include template definitions
295 
296 #endif
Stokhos::CompletePolynomialBasis::getMaxOrders
virtual MultiIndex< ordinal_type > getMaxOrders() const
Return maximum order allowable for each coordinate basis.
Definition: Stokhos_CompletePolynomialBasisImp.hpp:530
Stokhos::CompletePolynomialBasis::Cijk_type
Stokhos::Sparse3Tensor< ordinal_type, value_type > Cijk_type
Short-hand for Cijk.
Definition: Stokhos_CompletePolynomialBasis.hpp:287
Stokhos::CompletePolynomialBasis::sz
ordinal_type sz
Total size of basis.
Definition: Stokhos_CompletePolynomialBasis.hpp:257
Teuchos_RCP.hpp
Stokhos::ProductBasis
Abstract base class for multivariate orthogonal polynomials generated from tensor products of univari...
Definition: Stokhos_ProductBasis.hpp:65
Stokhos::CompletePolynomialBasis::getName
virtual const std::string & getName() const
Return string name of basis.
Definition: Stokhos_CompletePolynomialBasisImp.hpp:514
Stokhos_OneDOrthogPolyBasis.hpp
Stokhos::CompletePolynomialBasis::dimension
ordinal_type dimension() const
Return dimension of basis.
Definition: Stokhos_CompletePolynomialBasisImp.hpp:118
Stokhos::CompletePolynomialBasis::computeTripleProductTensor
virtual Teuchos::RCP< Stokhos::Sparse3Tensor< ordinal_type, value_type > > computeTripleProductTensor() const
Compute triple product tensor.
Definition: Stokhos_CompletePolynomialBasisImp.hpp:150
Stokhos_DerivBasis.hpp
Stokhos::CompletePolynomialBasis::norm_squared
virtual const Teuchos::Array< value_type > & norm_squared() const
Return array storing norm-squared of each basis polynomial.
Definition: Stokhos_CompletePolynomialBasisImp.hpp:134
Stokhos::CompletePolynomialBasis::computeDerivDoubleProductTensor
virtual Teuchos::RCP< Teuchos::SerialDenseMatrix< ordinal_type, value_type > > computeDerivDoubleProductTensor() const
Compute double product tensor where represents the derivative of in the direction .
Definition: Stokhos_CompletePolynomialBasisImp.hpp:414
Stokhos::CompletePolynomialBasis::evaluateZero
virtual value_type evaluateZero(ordinal_type i) const
Evaluate basis polynomial i at zero.
Definition: Stokhos_CompletePolynomialBasisImp.hpp:451
TotalOrderBasisUnitTest::value_type
double value_type
Definition: Stokhos_LexicographicTreeBasisUnitTest.cpp:70
Stokhos::CompletePolynomialBasis::computeTripleProductTensorNew
virtual Teuchos::RCP< Stokhos::Sparse3Tensor< ordinal_type, value_type > > computeTripleProductTensorNew(ordinal_type order) const
Compute triple product tensor using new algorithm.
Definition: Stokhos_CompletePolynomialBasisImp.hpp:209
Stokhos::CompletePolynomialBasis::term
virtual const MultiIndex< ordinal_type > & term(ordinal_type i) const
Get orders of each coordinate polynomial given an index i.
Definition: Stokhos_CompletePolynomialBasisImp.hpp:498
Stokhos::CompletePolynomialBasis::p
ordinal_type p
Total order of basis.
Definition: Stokhos_CompletePolynomialBasis.hpp:251
Stokhos::Sparse3Tensor
Data structure storing a sparse 3-tensor C(i,j,k) in a a compressed format.
Definition: Stokhos_Sparse3Tensor.hpp:56
Stokhos::CompletePolynomialBasis::computeLinearTripleProductTensor
virtual Teuchos::RCP< Stokhos::Sparse3Tensor< ordinal_type, value_type > > computeLinearTripleProductTensor() const
Compute linear triple product tensor where k = 0,1,..,d.
Definition: Stokhos_CompletePolynomialBasisImp.hpp:164
Stokhos::CompletePolynomialBasis::num_terms
Teuchos::Array< ordinal_type > num_terms
Number of terms up to each order.
Definition: Stokhos_CompletePolynomialBasis.hpp:281
Teuchos::ArrayView
Stokhos::MultiIndex< ordinal_type >
Stokhos::CompletePolynomialBasis::basis_eval_tmp
Teuchos::Array< Teuchos::Array< value_type > > basis_eval_tmp
Temporary array used in basis evaluation.
Definition: Stokhos_CompletePolynomialBasis.hpp:284
Teuchos::RCP
Stokhos::CompletePolynomialBasis::deriv_coeffs
Teuchos::RCP< Teuchos::Array< value_type > > deriv_coeffs
Coefficients for derivative.
Definition: Stokhos_CompletePolynomialBasis.hpp:272
Teuchos::Array
Stokhos::OneDOrthogPolyBasis
Abstract base class for 1-D orthogonal polynomials.
Definition: Stokhos_OneDOrthogPolyBasis.hpp:81
Stokhos::CompletePolynomialBasis::computeTripleProductTensorOld
virtual Teuchos::RCP< Stokhos::Sparse3Tensor< ordinal_type, value_type > > computeTripleProductTensorOld(ordinal_type order) const
Compute triple product tensor using old algorithm.
Definition: Stokhos_CompletePolynomialBasisImp.hpp:178
Stokhos::CompletePolynomialBasis::size
virtual ordinal_type size() const
Return total size of basis.
Definition: Stokhos_CompletePolynomialBasisImp.hpp:126
Stokhos::CompletePolynomialBasis::computeDerivTripleProductTensor
virtual Teuchos::RCP< Stokhos::Dense3Tensor< ordinal_type, value_type > > computeDerivTripleProductTensor(const Teuchos::RCP< const Teuchos::SerialDenseMatrix< ordinal_type, value_type > > &Bij, const Teuchos::RCP< const Stokhos::Sparse3Tensor< ordinal_type, value_type > > &Cijk) const
Compute triple product tensor where represents the derivative of in the direction .
Definition: Stokhos_CompletePolynomialBasisImp.hpp:377
TotalOrderBasisUnitTest::ordinal_type
int ordinal_type
Definition: Stokhos_LexicographicTreeBasisUnitTest.cpp:69
Stokhos::CompletePolynomialBasis::operator=
CompletePolynomialBasis & operator=(const CompletePolynomialBasis &b)
Stokhos::CompletePolynomialBasis::evaluateBases
virtual void evaluateBases(const Teuchos::ArrayView< const value_type > &point, Teuchos::Array< value_type > &basis_vals) const
Evaluate basis polynomials at given point point.
Definition: Stokhos_CompletePolynomialBasisImp.hpp:465
Stokhos
Top-level namespace for Stokhos classes and functions.
Definition: Stokhos_AbstractPreconditionerFactory.hpp:48
Stokhos_ProductBasis.hpp
Stokhos::CompletePolynomialBasis::CompletePolynomialBasis
CompletePolynomialBasis(const Teuchos::Array< Teuchos::RCP< const OneDOrthogPolyBasis< ordinal_type, value_type > > > &bases, const value_type &sparse_tol=1.0e-12, bool use_old_cijk_alg=false, const Teuchos::RCP< Teuchos::Array< value_type > > &deriv_coeffs=Teuchos::null)
Constructor.
Definition: Stokhos_CompletePolynomialBasisImp.hpp:45
Teuchos_SerialDenseMatrix.hpp
Stokhos::CompletePolynomialBasis::basis_orders
Teuchos::Array< ordinal_type > basis_orders
Array storing order of each basis.
Definition: Stokhos_CompletePolynomialBasis.hpp:263
Stokhos::CompletePolynomialBasis::d
ordinal_type d
Total dimension of basis.
Definition: Stokhos_CompletePolynomialBasis.hpp:254
Stokhos::CompletePolynomialBasis::print
virtual void print(std::ostream &os) const
Print basis to stream os.
Definition: Stokhos_CompletePolynomialBasisImp.hpp:483
Stokhos::CompletePolynomialBasis::order
ordinal_type order() const
Return order of basis.
Definition: Stokhos_CompletePolynomialBasisImp.hpp:110
Stokhos::CompletePolynomialBasis::use_old_cijk_alg
bool use_old_cijk_alg
Use old algorithm for computing Cijk.
Definition: Stokhos_CompletePolynomialBasis.hpp:269
Stokhos::CompletePolynomialBasis
Multivariate orthogonal polynomial basis generated from a total-order complete-polynomial tensor prod...
Definition: Stokhos_CompletePolynomialBasis.hpp:72
Stokhos::CompletePolynomialBasis::bases
Teuchos::Array< Teuchos::RCP< const OneDOrthogPolyBasis< ordinal_type, value_type > > > bases
Array of bases.
Definition: Stokhos_CompletePolynomialBasis.hpp:260
Stokhos::CompletePolynomialBasis::terms
Teuchos::Array< MultiIndex< ordinal_type > > terms
2-D array of basis terms
Definition: Stokhos_CompletePolynomialBasis.hpp:278
Stokhos::CompletePolynomialBasis::name
std::string name
Name of basis.
Definition: Stokhos_CompletePolynomialBasis.hpp:248
Stokhos_ProductBasisUtils.hpp
Teuchos::SerialDenseMatrix< ordinal_type, value_type >
Stokhos::CompletePolynomialBasis::index
virtual ordinal_type index(const MultiIndex< ordinal_type > &term) const
Get index of the multivariate polynomial given orders of each coordinate.
Definition: Stokhos_CompletePolynomialBasisImp.hpp:506
Stokhos::CompletePolynomialBasis::CPBUtils
Stokhos::CompletePolynomialBasisUtils< ordinal_type, value_type > CPBUtils
Definition: Stokhos_CompletePolynomialBasis.hpp:245
Stokhos::CompletePolynomialBasis::getCoordinateBases
Teuchos::Array< Teuchos::RCP< const OneDOrthogPolyBasis< ordinal_type, value_type > > > getCoordinateBases() const
Return coordinate bases.
Definition: Stokhos_CompletePolynomialBasisImp.hpp:522
Stokhos::CompletePolynomialBasis::~CompletePolynomialBasis
virtual ~CompletePolynomialBasis()
Destructor.
Definition: Stokhos_CompletePolynomialBasisImp.hpp:103
Stokhos::CompletePolynomialBasisUtils
Utilities for indexing a multi-variate complete polynomial basis.
Definition: Stokhos_ProductBasisUtils.hpp:1506
Stokhos::CompletePolynomialBasis::norms
Teuchos::Array< value_type > norms
Norms.
Definition: Stokhos_CompletePolynomialBasis.hpp:275
Stokhos_CompletePolynomialBasisImp.hpp
Stokhos::DerivBasis
Abstract base class for multivariate orthogonal polynomials that support computing double and triple ...
Definition: Stokhos_DerivBasis.hpp:57
Stokhos::CompletePolynomialBasis::sparse_tol
value_type sparse_tol
Tolerance for computing sparse Cijk.
Definition: Stokhos_CompletePolynomialBasis.hpp:266