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Stokhos_DerivOrthogPolyExpansion.hpp
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2 // *****************************************************************************
3 // Stokhos Package
4 //
5 // Copyright 2009 NTESS and the Stokhos contributors.
6 // SPDX-License-Identifier: BSD-3-Clause
7 // *****************************************************************************
8 // @HEADER
9 
10 #ifndef STOKHOS_DERIVORTHOGPOLYEXPANSION_HPP
11 #define STOKHOS_DERIVORTHOGPOLYEXPANSION_HPP
12 
13 #include "Stokhos_OrthogPolyExpansion.hpp"
14 #include "Stokhos_DerivBasis.hpp"
15 
16 #include "Teuchos_RCP.hpp"
17 #include "Teuchos_Array.hpp"
18 #include "Teuchos_SerialDenseMatrix.hpp"
19 #include "Teuchos_SerialDenseVector.hpp"
20 #include "Teuchos_LAPACK.hpp"
21 
22 namespace Stokhos {
23 
25  template <typename ordinal_type, typename value_type>
26  class DerivOrthogPolyExpansion : public OrthogPolyExpansion<ordinal_type, value_type> {
27  public:
28 
29  typedef Stokhos::StandardStorage<ordinal_type, value_type> node_type;
30 
32  DerivOrthogPolyExpansion(
33  const Teuchos::RCP<const DerivBasis<ordinal_type, value_type> >& basis,
34  const Teuchos::RCP<const Teuchos::SerialDenseMatrix<ordinal_type, value_type> >& Bij,
35  const Teuchos::RCP<const Stokhos::Sparse3Tensor<ordinal_type, value_type> >& Cijk,
36  const Teuchos::RCP<const Stokhos::Dense3Tensor<ordinal_type, value_type> >& Dijk);
37 
39  virtual ~DerivOrthogPolyExpansion() {}
40 
42  ordinal_type size() const { return sz; }
43 
45  Teuchos::RCP<const OrthogPolyBasis<ordinal_type, value_type> >
46  getBasis() const {return basis; }
47 
49  virtual Teuchos::RCP<const Sparse3Tensor<ordinal_type, value_type> >
50  getTripleProduct() const { return Cijk; }
51 
52  // Operations
53  void unaryMinus(
54  OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
55  const OrthogPolyApprox<ordinal_type, value_type, node_type>& a);
56 
57  void plusEqual(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
58  const value_type& x);
59  void minusEqual(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
60  const value_type& x);
61  void timesEqual(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
62  const value_type& x);
63  void divideEqual(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
64  const value_type& x);
65 
66  void plusEqual(
67  OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
68  const OrthogPolyApprox<ordinal_type, value_type, node_type>& x);
69  void minusEqual(
70  OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
71  const OrthogPolyApprox<ordinal_type, value_type, node_type>& x);
72  void timesEqual(
73  OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
74  const OrthogPolyApprox<ordinal_type, value_type, node_type>& x);
75  void divideEqual(
76  OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
77  const OrthogPolyApprox<ordinal_type, value_type, node_type>& x);
78 
79  void plus(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
80  const OrthogPolyApprox<ordinal_type, value_type, node_type>& a,
81  const OrthogPolyApprox<ordinal_type, value_type, node_type>& b);
82  void plus(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
83  const value_type& a,
84  const OrthogPolyApprox<ordinal_type, value_type, node_type>& b);
85  void plus(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
86  const OrthogPolyApprox<ordinal_type, value_type, node_type>& a,
87  const value_type& b);
88  void minus(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
89  const OrthogPolyApprox<ordinal_type, value_type, node_type>& a,
90  const OrthogPolyApprox<ordinal_type, value_type, node_type>& b);
91  void minus(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
92  const value_type& a,
93  const OrthogPolyApprox<ordinal_type, value_type, node_type>& b);
94  void minus(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
95  const OrthogPolyApprox<ordinal_type, value_type, node_type>& a,
96  const value_type& b);
97  void times(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
98  const OrthogPolyApprox<ordinal_type, value_type, node_type>& a,
99  const OrthogPolyApprox<ordinal_type, value_type, node_type>& b);
100  void times(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
101  const value_type& a,
102  const OrthogPolyApprox<ordinal_type, value_type, node_type>& b);
103  void times(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
104  const OrthogPolyApprox<ordinal_type, value_type, node_type>& a,
105  const value_type& b);
106  void divide(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
107  const OrthogPolyApprox<ordinal_type, value_type, node_type>& a,
108  const OrthogPolyApprox<ordinal_type, value_type, node_type>& b);
109  void divide(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
110  const value_type& a,
111  const OrthogPolyApprox<ordinal_type, value_type, node_type>& b);
112  void divide(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
113  const OrthogPolyApprox<ordinal_type, value_type, node_type>& a,
114  const value_type& b);
115 
116  void exp(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
117  const OrthogPolyApprox<ordinal_type, value_type, node_type>& a);
118  void log(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
119  const OrthogPolyApprox<ordinal_type, value_type, node_type>& a);
120  void log10(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
121  const OrthogPolyApprox<ordinal_type, value_type, node_type>& a);
122  void sqrt(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
123  const OrthogPolyApprox<ordinal_type, value_type, node_type>& a);
124  void cbrt(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
125  const OrthogPolyApprox<ordinal_type, value_type, node_type>& a);
126  void pow(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
127  const OrthogPolyApprox<ordinal_type, value_type, node_type>& a,
128  const OrthogPolyApprox<ordinal_type, value_type, node_type>& b);
129  void pow(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
130  const value_type& a,
131  const OrthogPolyApprox<ordinal_type, value_type, node_type>& b);
132  void pow(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
133  const OrthogPolyApprox<ordinal_type, value_type, node_type>& a,
134  const value_type& b);
135  void sincos(OrthogPolyApprox<ordinal_type, value_type, node_type>& s,
136  OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
137  const OrthogPolyApprox<ordinal_type, value_type, node_type>& a);
138  void cos(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
139  const OrthogPolyApprox<ordinal_type, value_type, node_type>& a);
140  void sin(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
141  const OrthogPolyApprox<ordinal_type, value_type, node_type>& a);
142  void tan(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
143  const OrthogPolyApprox<ordinal_type, value_type, node_type>& a);
144  void sinhcosh(OrthogPolyApprox<ordinal_type, value_type, node_type>& s,
145  OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
146  const OrthogPolyApprox<ordinal_type, value_type, node_type>& a);
147  void cosh(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
148  const OrthogPolyApprox<ordinal_type, value_type, node_type>& a);
149  void sinh(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
150  const OrthogPolyApprox<ordinal_type, value_type, node_type>& a);
151  void tanh(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
152  const OrthogPolyApprox<ordinal_type, value_type, node_type>& a);
153  template <typename OpT>
154  void quad(const OpT& quad_func,
155  OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
156  const OrthogPolyApprox<ordinal_type, value_type, node_type>& a,
157  const OrthogPolyApprox<ordinal_type, value_type, node_type>& b);
158  void acos(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
159  const OrthogPolyApprox<ordinal_type, value_type, node_type>& a);
160  void asin(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
161  const OrthogPolyApprox<ordinal_type, value_type, node_type>& a);
162  void atan(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
163  const OrthogPolyApprox<ordinal_type, value_type, node_type>& a);
164 // void atan2(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
165 // const OrthogPolyApprox<ordinal_type, value_type, node_type>& a,
166 // const OrthogPolyApprox<ordinal_type, value_type, node_type>& b);
167 // void atan2(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
168 // const T& a,
169 // const OrthogPolyApprox<ordinal_type, value_type, node_type>& b);
170 // void atan2(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
171 // const OrthogPolyApprox<ordinal_type, value_type, node_type>& a,
172 // const T& b);
173  void acosh(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
174  const OrthogPolyApprox<ordinal_type, value_type, node_type>& a);
175  void asinh(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
176  const OrthogPolyApprox<ordinal_type, value_type, node_type>& a);
177  void atanh(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
178  const OrthogPolyApprox<ordinal_type, value_type, node_type>& a);
179  void abs(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
180  const OrthogPolyApprox<ordinal_type, value_type, node_type>& a);
181  void fabs(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
182  const OrthogPolyApprox<ordinal_type, value_type, node_type>& a);
183  void max(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
184  const OrthogPolyApprox<ordinal_type, value_type, node_type>& a,
185  const OrthogPolyApprox<ordinal_type, value_type, node_type>& b);
186  void max(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
187  const value_type& a,
188  const OrthogPolyApprox<ordinal_type, value_type, node_type>& b);
189  void max(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
190  const OrthogPolyApprox<ordinal_type, value_type, node_type>& a,
191  const value_type& b);
192  void min(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
193  const OrthogPolyApprox<ordinal_type, value_type, node_type>& a,
194  const OrthogPolyApprox<ordinal_type, value_type, node_type>& b);
195  void min(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
196  const value_type& a,
197  const OrthogPolyApprox<ordinal_type, value_type, node_type>& b);
198  void min(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
199  const OrthogPolyApprox<ordinal_type, value_type, node_type>& a,
200  const value_type& b);
201  void derivative(OrthogPolyApprox<ordinal_type, value_type, node_type>& c,
202  const OrthogPolyApprox<ordinal_type, value_type, node_type>& a);
203 
204  private:
205 
206  // Prohibit copying
207  DerivOrthogPolyExpansion(const DerivOrthogPolyExpansion&);
208 
209  // Prohibit Assignment
210  DerivOrthogPolyExpansion& operator=(const DerivOrthogPolyExpansion& b);
211 
212  protected:
213 
215  Teuchos::RCP< const Stokhos::DerivBasis<ordinal_type, value_type> > basis;
216 
218  Teuchos::RCP<const Teuchos::SerialDenseMatrix<ordinal_type, value_type> > Bij;
219 
221  Teuchos::RCP<const Stokhos::Sparse3Tensor<ordinal_type, value_type> > Cijk;
222 
224  Teuchos::RCP<const Stokhos::Dense3Tensor<ordinal_type, value_type> > Dijk;
225 
227  ordinal_type sz;
228 
230  Teuchos::SerialDenseMatrix<ordinal_type, value_type> A;
231 
233  Teuchos::SerialDenseMatrix<ordinal_type, value_type> B;
234 
236  Teuchos::Array<ordinal_type> piv;
237 
239  Teuchos::LAPACK<ordinal_type,value_type> lapack;
240 
241  protected:
242 
244  ordinal_type solve(ordinal_type s, ordinal_type nrhs);
245 
246  struct acos_quad_func {
247  value_type operator() (const value_type& a) const {
248  return std::acos(a);
249  }
250  };
251 
252  struct asin_quad_func {
253  value_type operator() (const value_type& a) const {
254  return std::asin(a);
255  }
256  };
257 
258  struct atan_quad_func {
259  value_type operator() (const value_type& a) const {
260  return std::atan(a);
261  }
262  };
263 
264  struct acosh_quad_func {
265  value_type operator() (const value_type & a) const {
266  return std::log(a+std::sqrt(a*a-value_type(1.0)));
267  }
268  };
269 
270  struct asinh_quad_func {
271  value_type operator() (const value_type& a) const {
272  return std::log(a+std::sqrt(a*a+value_type(1.0)));
273  }
274  };
275 
276  struct atanh_quad_func {
277  value_type operator() (const value_type& a) const {
278  return 0.5*std::log((value_type(1.0)+a)/(value_type(1.0)-a));
279  }
280  };
281 
282  }; // class DerivOrthogPolyExpansion
283 
284 } // namespace Stokhos
285 
286 #include "Stokhos_DerivOrthogPolyExpansionImp.hpp"
287 
288 #endif // STOKHOS_DERIVORTHOGPOLYEXPANSION_HPP
Sacado::UQ::sqrt
KOKKOS_INLINE_FUNCTION PCE< Storage > sqrt(const PCE< Storage > &a)
Definition: Sacado_UQ_PCE_Imp.hpp:847
Stokhos::DerivOrthogPolyExpansion::cbrt
void cbrt(OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a)
Definition: Stokhos_DerivOrthogPolyExpansionImp.hpp:810
Stokhos_OrthogPolyExpansion.hpp
Stokhos::DerivOrthogPolyExpansion::atan_quad_func::operator()
value_type operator()(const value_type &a) const
Definition: Stokhos_DerivOrthogPolyExpansion.hpp:259
Stokhos::DerivOrthogPolyExpansion::DerivOrthogPolyExpansion
DerivOrthogPolyExpansion(const Teuchos::RCP< const DerivBasis< ordinal_type, value_type > > &basis, const Teuchos::RCP< const Teuchos::SerialDenseMatrix< ordinal_type, value_type > > &Bij, const Teuchos::RCP< const Stokhos::Sparse3Tensor< ordinal_type, value_type > > &Cijk, const Teuchos::RCP< const Stokhos::Dense3Tensor< ordinal_type, value_type > > &Dijk)
Constructor.
Definition: Stokhos_DerivOrthogPolyExpansionImp.hpp:15
Teuchos_SerialDenseMatrix.hpp
Stokhos::DerivOrthogPolyExpansion::acos
void acos(OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a)
Definition: Stokhos_DerivOrthogPolyExpansionImp.hpp:1253
Stokhos::DerivBasis
Abstract base class for multivariate orthogonal polynomials that support computing double and triple ...
Definition: Stokhos_DerivBasis.hpp:23
Stokhos::DerivOrthogPolyExpansion::A
Teuchos::SerialDenseMatrix< ordinal_type, value_type > A
Matrix.
Definition: Stokhos_DerivOrthogPolyExpansion.hpp:230
Stokhos::DerivOrthogPolyExpansion::getTripleProduct
virtual Teuchos::RCP< const Sparse3Tensor< ordinal_type, value_type > > getTripleProduct() const
Get triple product.
Definition: Stokhos_DerivOrthogPolyExpansion.hpp:50
Stokhos::DerivOrthogPolyExpansion::minusEqual
void minusEqual(OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const value_type &x)
Definition: Stokhos_DerivOrthogPolyExpansionImp.hpp:93
Stokhos::DerivOrthogPolyExpansion::getBasis
Teuchos::RCP< const OrthogPolyBasis< ordinal_type, value_type > > getBasis() const
Get basis.
Definition: Stokhos_DerivOrthogPolyExpansion.hpp:46
Stokhos::Sparse3Tensor
Data structure storing a sparse 3-tensor C(i,j,k) in a a compressed format.
Definition: Stokhos_Sparse3Tensor.hpp:24
Stokhos::DerivOrthogPolyExpansion::quad
void quad(const OpT &quad_func, OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a, const OrthogPolyApprox< ordinal_type, value_type, node_type > &b)
Definition: Stokhos_DerivOrthogPolyExpansionImp.hpp:1195
Stokhos::DerivOrthogPolyExpansion::size
ordinal_type size() const
Get expansion size.
Definition: Stokhos_DerivOrthogPolyExpansion.hpp:42
Stokhos::DerivOrthogPolyExpansion::cos
void cos(OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a)
Definition: Stokhos_DerivOrthogPolyExpansionImp.hpp:1005
Stokhos::DerivOrthogPolyExpansion::plus
void plus(OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a, const OrthogPolyApprox< ordinal_type, value_type, node_type > &b)
Definition: Stokhos_DerivOrthogPolyExpansionImp.hpp:280
Stokhos::DerivOrthogPolyExpansion::atanh_quad_func
Definition: Stokhos_DerivOrthogPolyExpansion.hpp:276
Stokhos::DerivOrthogPolyExpansion::timesEqual
void timesEqual(OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const value_type &x)
Definition: Stokhos_DerivOrthogPolyExpansionImp.hpp:102
Stokhos::DerivOrthogPolyExpansion::asinh_quad_func
Definition: Stokhos_DerivOrthogPolyExpansion.hpp:270
Stokhos::DerivOrthogPolyExpansion::asin
void asin(OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a)
Definition: Stokhos_DerivOrthogPolyExpansionImp.hpp:1273
Stokhos::DerivOrthogPolyExpansion::asin_quad_func::operator()
value_type operator()(const value_type &a) const
Definition: Stokhos_DerivOrthogPolyExpansion.hpp:253
Stokhos::DerivOrthogPolyExpansion::cosh
void cosh(OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a)
Definition: Stokhos_DerivOrthogPolyExpansionImp.hpp:1159
Stokhos::DerivOrthogPolyExpansion::Bij
Teuchos::RCP< const Teuchos::SerialDenseMatrix< ordinal_type, value_type > > Bij
Derivative double-product tensor.
Definition: Stokhos_DerivOrthogPolyExpansion.hpp:218
Sacado::UQ::acos
KOKKOS_INLINE_FUNCTION PCE< Storage > acos(const PCE< Storage > &a)
Definition: Sacado_UQ_PCE_Imp.hpp:1036
Stokhos::DerivOrthogPolyExpansion::unaryMinus
void unaryMinus(OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a)
Definition: Stokhos_DerivOrthogPolyExpansionImp.hpp:66
Stokhos::OrthogPolyExpansion
Abstract base class for orthogonal polynomial-based expansions.
Definition: Stokhos_OrthogPolyExpansion.hpp:25
Stokhos::DerivOrthogPolyExpansion::basis
Teuchos::RCP< const Stokhos::DerivBasis< ordinal_type, value_type > > basis
Basis.
Definition: Stokhos_DerivOrthogPolyExpansion.hpp:215
Stokhos::DerivOrthogPolyExpansion::acosh
void acosh(OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a)
Definition: Stokhos_DerivOrthogPolyExpansionImp.hpp:1337
Stokhos::DerivOrthogPolyExpansion::acosh_quad_func
Definition: Stokhos_DerivOrthogPolyExpansion.hpp:264
Teuchos_LAPACK.hpp
Stokhos::DerivOrthogPolyExpansion::atan_quad_func
Definition: Stokhos_DerivOrthogPolyExpansion.hpp:258
Stokhos::DerivOrthogPolyExpansion::derivative
void derivative(OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a)
Definition: Stokhos_DerivOrthogPolyExpansionImp.hpp:1503
Stokhos::DerivOrthogPolyExpansion::divideEqual
void divideEqual(OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const value_type &x)
Definition: Stokhos_DerivOrthogPolyExpansionImp.hpp:114
Stokhos::DerivOrthogPolyExpansion::tan
void tan(OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a)
Definition: Stokhos_DerivOrthogPolyExpansionImp.hpp:1022
Stokhos::DerivOrthogPolyExpansion::log10
void log10(OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a)
Definition: Stokhos_DerivOrthogPolyExpansionImp.hpp:775
Stokhos::DerivOrthogPolyExpansion::atanh_quad_func::operator()
value_type operator()(const value_type &a) const
Definition: Stokhos_DerivOrthogPolyExpansion.hpp:277
Stokhos::DerivOrthogPolyExpansion::divide
void divide(OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a, const OrthogPolyApprox< ordinal_type, value_type, node_type > &b)
Definition: Stokhos_DerivOrthogPolyExpansionImp.hpp:506
Stokhos::DerivOrthogPolyExpansion::min
void min(OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a, const OrthogPolyApprox< ordinal_type, value_type, node_type > &b)
Definition: Stokhos_DerivOrthogPolyExpansionImp.hpp:1460
Stokhos::DerivOrthogPolyExpansion::operator=
DerivOrthogPolyExpansion & operator=(const DerivOrthogPolyExpansion &b)
Stokhos::DerivOrthogPolyExpansion::atan
void atan(OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a)
Definition: Stokhos_DerivOrthogPolyExpansionImp.hpp:1292
Stokhos::DerivOrthogPolyExpansion::Dijk
Teuchos::RCP< const Stokhos::Dense3Tensor< ordinal_type, value_type > > Dijk
Derivative Triple-product tensor.
Definition: Stokhos_DerivOrthogPolyExpansion.hpp:224
Stokhos::DerivOrthogPolyExpansion::sinhcosh
void sinhcosh(OrthogPolyApprox< ordinal_type, value_type, node_type > &s, OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a)
Definition: Stokhos_DerivOrthogPolyExpansionImp.hpp:1040
Stokhos::DerivOrthogPolyExpansion::sqrt
void sqrt(OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a)
Definition: Stokhos_DerivOrthogPolyExpansionImp.hpp:792
Stokhos::DerivOrthogPolyExpansion
Othogonal polynomial expansions based on derivative calculations.
Definition: Stokhos_DerivOrthogPolyExpansion.hpp:26
Stokhos::DerivOrthogPolyExpansion::minus
void minus(OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a, const OrthogPolyApprox< ordinal_type, value_type, node_type > &b)
Definition: Stokhos_DerivOrthogPolyExpansionImp.hpp:349
Stokhos::DerivOrthogPolyExpansion::Cijk
Teuchos::RCP< const Stokhos::Sparse3Tensor< ordinal_type, value_type > > Cijk
Triple-product tensor.
Definition: Stokhos_DerivOrthogPolyExpansion.hpp:221
Sacado::UQ::atan
KOKKOS_INLINE_FUNCTION PCE< Storage > atan(const PCE< Storage > &a)
Definition: Sacado_UQ_PCE_Imp.hpp:1070
Stokhos::DerivOrthogPolyExpansion::tanh
void tanh(OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a)
Definition: Stokhos_DerivOrthogPolyExpansionImp.hpp:1176
Stokhos::DerivOrthogPolyExpansion::asinh
void asinh(OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a)
Definition: Stokhos_DerivOrthogPolyExpansionImp.hpp:1356
Stokhos::DerivOrthogPolyExpansion::abs
void abs(OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a)
Definition: Stokhos_DerivOrthogPolyExpansionImp.hpp:1405
Teuchos_Array.hpp
Stokhos::OrthogPolyApprox
Class to store coefficients of a projection onto an orthogonal polynomial basis.
Definition: Stokhos_OrthogPolyApprox.hpp:29
Stokhos::DerivOrthogPolyExpansion::acos_quad_func
Definition: Stokhos_DerivOrthogPolyExpansion.hpp:246
Stokhos::DerivOrthogPolyExpansion::sincos
void sincos(OrthogPolyApprox< ordinal_type, value_type, node_type > &s, OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a)
Definition: Stokhos_DerivOrthogPolyExpansionImp.hpp:884
Stokhos::DerivOrthogPolyExpansion::fabs
void fabs(OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a)
Definition: Stokhos_DerivOrthogPolyExpansionImp.hpp:1393
Stokhos::DerivOrthogPolyExpansion::lapack
Teuchos::LAPACK< ordinal_type, value_type > lapack
LAPACK wrappers.
Definition: Stokhos_DerivOrthogPolyExpansion.hpp:239
Stokhos::DerivOrthogPolyExpansion::piv
Teuchos::Array< ordinal_type > piv
Pivot array.
Definition: Stokhos_DerivOrthogPolyExpansion.hpp:236
Stokhos::DerivOrthogPolyExpansion::times
void times(OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a, const OrthogPolyApprox< ordinal_type, value_type, node_type > &b)
Definition: Stokhos_DerivOrthogPolyExpansionImp.hpp:418
Stokhos::DerivOrthogPolyExpansion::max
void max(OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a, const OrthogPolyApprox< ordinal_type, value_type, node_type > &b)
Definition: Stokhos_DerivOrthogPolyExpansionImp.hpp:1417
Stokhos::DerivOrthogPolyExpansion::acosh_quad_func::operator()
value_type operator()(const value_type &a) const
Definition: Stokhos_DerivOrthogPolyExpansion.hpp:265
Stokhos::DerivOrthogPolyExpansion::log
void log(OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a)
Definition: Stokhos_DerivOrthogPolyExpansionImp.hpp:715
Teuchos_SerialDenseVector.hpp
Stokhos::DerivOrthogPolyExpansion::asinh_quad_func::operator()
value_type operator()(const value_type &a) const
Definition: Stokhos_DerivOrthogPolyExpansion.hpp:271
Stokhos::DerivOrthogPolyExpansion::pow
void pow(OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a, const OrthogPolyApprox< ordinal_type, value_type, node_type > &b)
Definition: Stokhos_DerivOrthogPolyExpansionImp.hpp:828
Stokhos::Dense3Tensor
Data structure storing a dense 3-tensor C(i,j,k).
Definition: Stokhos_Dense3Tensor.hpp:23
Stokhos::DerivOrthogPolyExpansion::sin
void sin(OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a)
Definition: Stokhos_DerivOrthogPolyExpansionImp.hpp:988
Stokhos::DerivOrthogPolyExpansion::acos_quad_func::operator()
value_type operator()(const value_type &a) const
Definition: Stokhos_DerivOrthogPolyExpansion.hpp:247
Stokhos::DerivOrthogPolyExpansion::atanh
void atanh(OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a)
Definition: Stokhos_DerivOrthogPolyExpansionImp.hpp:1375
Stokhos::DerivOrthogPolyExpansion::B
Teuchos::SerialDenseMatrix< ordinal_type, value_type > B
RHS.
Definition: Stokhos_DerivOrthogPolyExpansion.hpp:233
Stokhos::DerivOrthogPolyExpansion::node_type
Stokhos::StandardStorage< ordinal_type, value_type > node_type
Definition: Stokhos_DerivOrthogPolyExpansion.hpp:29
Sacado::UQ::log
KOKKOS_INLINE_FUNCTION PCE< Storage > log(const PCE< Storage > &a)
Definition: Sacado_UQ_PCE_Imp.hpp:813
Stokhos::DerivOrthogPolyExpansion::sinh
void sinh(OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a)
Definition: Stokhos_DerivOrthogPolyExpansionImp.hpp:1142
Stokhos::DerivOrthogPolyExpansion::plusEqual
void plusEqual(OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const value_type &x)
Definition: Stokhos_DerivOrthogPolyExpansionImp.hpp:84
Stokhos_DerivOrthogPolyExpansionImp.hpp
Sacado::UQ::asin
KOKKOS_INLINE_FUNCTION PCE< Storage > asin(const PCE< Storage > &a)
Definition: Sacado_UQ_PCE_Imp.hpp:1053
Stokhos::DerivOrthogPolyExpansion::solve
ordinal_type solve(ordinal_type s, ordinal_type nrhs)
Solve linear system.
Definition: Stokhos_DerivOrthogPolyExpansionImp.hpp:39
Teuchos_RCP.hpp
Stokhos::DerivOrthogPolyExpansion::asin_quad_func
Definition: Stokhos_DerivOrthogPolyExpansion.hpp:252
Stokhos::DerivOrthogPolyExpansion::exp
void exp(OrthogPolyApprox< ordinal_type, value_type, node_type > &c, const OrthogPolyApprox< ordinal_type, value_type, node_type > &a)
Definition: Stokhos_DerivOrthogPolyExpansionImp.hpp:653
Stokhos_DerivBasis.hpp
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