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basis.cpp
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1 // @HEADER
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 #include "Stokhos.hpp"
11 #include "Teuchos_CommandLineProcessor.hpp"
12 
13 // basis
14 //
15 // usage:
16 // basis [options]
17 //
18 // output:
19 // prints the dimensionality and corresponding sparse-grid size for
20 // various multi-variate basis choices.
21 
22 // Basis types
23 enum BasisType { HERMITE, LEGENDRE, CC_LEGENDRE, GP_LEGENDRE, RYS, JACOBI };
24 const int num_basis_types = 6;
25 const BasisType basis_type_values[] = {
26  HERMITE, LEGENDRE, CC_LEGENDRE, GP_LEGENDRE, RYS, JACOBI };
27 const char *basis_type_names[] = {
28  "hermite", "legendre", "clenshaw-curtis", "gauss-patterson", "rys", "jacobi" };
29 
30 // Growth policies
31 const int num_growth_types = 2;
32 const Stokhos::GrowthPolicy growth_type_values[] = {
33  Stokhos::SLOW_GROWTH, Stokhos::MODERATE_GROWTH };
34 const char *growth_type_names[] = { "slow", "moderate" };
35 
36 // Product Basis types
37 enum ProductBasisType { COMPLETE, TENSOR, TOTAL, SMOLYAK };
38 const int num_prod_basis_types = 4;
39 const ProductBasisType prod_basis_type_values[] = {
40  COMPLETE, TENSOR, TOTAL, SMOLYAK };
41 const char *prod_basis_type_names[] = {
42  "complete", "tensor", "total", "smolyak" };
43 
44 // Ordering types
45 enum OrderingType { TOTAL_ORDERING, LEXICOGRAPHIC_ORDERING, MORTON_Z_ORDERING };
46 const int num_ordering_types = 3;
47 const OrderingType ordering_type_values[] = {
48  TOTAL_ORDERING, LEXICOGRAPHIC_ORDERING, MORTON_Z_ORDERING };
49 const char *ordering_type_names[] = {
50  "total", "lexicographic", "morton-z" };
51 
52 int main(int argc, char **argv)
53 {
54  try {
55 
56  // Setup command line options
57  Teuchos::CommandLineProcessor CLP;
58  CLP.setDocString(
59  "This example prints out the dimensionality of various basis choices.\n");
60  int d = 3;
61  CLP.setOption("dimension", &d, "Stochastic dimension");
62  int p = 5;
63  CLP.setOption("order", &p, "Polynomial order");
64  double drop = 1.0e-12;
65  CLP.setOption("drop", &drop, "Drop tolerance");
66  BasisType basis_type = LEGENDRE;
67  CLP.setOption("basis", &basis_type,
68  num_basis_types, basis_type_values, basis_type_names,
69  "Basis type");
70  Stokhos::GrowthPolicy growth_type = Stokhos::SLOW_GROWTH;
71  CLP.setOption("growth", &growth_type,
72  num_growth_types, growth_type_values, growth_type_names,
73  "Growth type");
74  ProductBasisType prod_basis_type = COMPLETE;
75  CLP.setOption("product_basis", &prod_basis_type,
76  num_prod_basis_types, prod_basis_type_values,
77  prod_basis_type_names,
78  "Product basis type");
79  OrderingType ordering_type = TOTAL_ORDERING;
80  CLP.setOption("ordering", &ordering_type,
81  num_ordering_types, ordering_type_values,
82  ordering_type_names,
83  "Product basis ordering");
84  double alpha = 1.0;
85  CLP.setOption("alpha", &alpha, "Jacobi alpha index");
86  double beta = 1.0;
87  CLP.setOption("beta", &beta, "Jacobi beta index");
88 
89  // Parse arguments
90  CLP.parse( argc, argv );
91 
92  // Basis
93  Teuchos::Array< Teuchos::RCP<const Stokhos::OneDOrthogPolyBasis<int,double> > > bases(d);
94  for (int i=0; i<d; i++) {
95  if (basis_type == HERMITE)
96  bases[i] = Teuchos::rcp(new Stokhos::HermiteBasis<int,double>(
97  p, true, growth_type));
98  else if (basis_type == LEGENDRE)
99  bases[i] = Teuchos::rcp(new Stokhos::LegendreBasis<int,double>(
100  p, true, growth_type));
101  else if (basis_type == CC_LEGENDRE)
102  bases[i] =
103  Teuchos::rcp(new Stokhos::ClenshawCurtisLegendreBasis<int,double>(
104  p, true));
105  else if (basis_type == GP_LEGENDRE)
106  bases[i] =
107  Teuchos::rcp(new Stokhos::GaussPattersonLegendreBasis<int,double>(
108  p, true));
109  else if (basis_type == RYS)
110  bases[i] = Teuchos::rcp(new Stokhos::RysBasis<int,double>(
111  p, 1.0, true, growth_type));
112  else if (basis_type == JACOBI)
113  bases[i] = Teuchos::rcp(new Stokhos::JacobiBasis<int,double>(
114  p, alpha, beta, true, growth_type));
115  }
116  Teuchos::RCP<const Stokhos::ProductBasis<int,double> > basis;
117  typedef Stokhos::TotalOrderLess< Stokhos::MultiIndex<int> > total_less;
118  typedef Stokhos::LexographicLess< Stokhos::MultiIndex<int> > lexo_less;
119  typedef Stokhos::MortonZLess< Stokhos::MultiIndex<int> > z_less;
120  if (prod_basis_type == COMPLETE)
121  basis =
122  Teuchos::rcp(new Stokhos::CompletePolynomialBasis<int,double>(
123  bases, drop));
124  else if (prod_basis_type == TENSOR) {
125  if (ordering_type == TOTAL_ORDERING)
126  basis =
127  Teuchos::rcp(new Stokhos::TensorProductBasis<int,double,total_less>(
128  bases, drop));
129  else if (ordering_type == LEXICOGRAPHIC_ORDERING)
130  basis =
131  Teuchos::rcp(new Stokhos::TensorProductBasis<int,double,lexo_less>(
132  bases, drop));
133  else if (ordering_type == MORTON_Z_ORDERING)
134  basis =
135  Teuchos::rcp(new Stokhos::TensorProductBasis<int,double,z_less>(
136  bases, drop));
137  }
138  else if (prod_basis_type == TOTAL) {
139  if (ordering_type == TOTAL_ORDERING)
140  basis =
141  Teuchos::rcp(new Stokhos::TotalOrderBasis<int,double,total_less>(
142  bases, drop));
143  else if (ordering_type == LEXICOGRAPHIC_ORDERING)
144  basis =
145  Teuchos::rcp(new Stokhos::TotalOrderBasis<int,double,lexo_less>(
146  bases, drop));
147  else if (ordering_type == MORTON_Z_ORDERING)
148  basis =
149  Teuchos::rcp(new Stokhos::TotalOrderBasis<int,double,z_less>(
150  bases, drop));
151  }
152  else if (prod_basis_type == SMOLYAK) {
153  Stokhos::TotalOrderIndexSet<int> index_set(d, p);
154  if (ordering_type == TOTAL_ORDERING)
155  basis =
156  Teuchos::rcp(new Stokhos::SmolyakBasis<int,double,total_less>(
157  bases, index_set, drop));
158  else if (ordering_type == LEXICOGRAPHIC_ORDERING)
159  basis =
160  Teuchos::rcp(new Stokhos::SmolyakBasis<int,double,lexo_less>(
161  bases, index_set, drop));
162  else if (ordering_type == MORTON_Z_ORDERING)
163  basis =
164  Teuchos::rcp(new Stokhos::SmolyakBasis<int,double,z_less>(
165  bases, index_set, drop));
166  }
167 
168  Stokhos::TotalOrderIndexSet<int> index_set(d, p);
169  Teuchos::RCP<const Stokhos::Quadrature<int,double> > quad =
170  Teuchos::rcp(new Stokhos::SmolyakSparseGridQuadrature<int,double>(basis, index_set));
171 
172  std::cout << "order = " << p << " dim = " << d
173  << " basis size = " << basis->size()
174  << " sparse grid size = " << quad->size()
175  << std::endl;
176  }
177  catch (std::exception& e) {
178  std::cout << e.what() << std::endl;
179  }
180 
181  return 0;
182 }
prod_basis_type_values
const ProductBasisType prod_basis_type_values[]
Definition: cijk_nonzeros.cpp:50
argv
char * argv[]
Definition: Stokhos_HouseTriDiagUnitTest.cpp:252
Stokhos::HermiteBasis
Hermite polynomial basis.
Definition: Stokhos_HermiteBasis.hpp:33
MORTON_Z_ORDERING
Definition: sparsity_example.cpp:61
RYS
Definition: cijk_nonzeros.cpp:34
Stokhos::TotalOrderBasis
Multivariate orthogonal polynomial basis generated from a total order tensor product of univariate po...
Definition: Stokhos_TotalOrderBasis.hpp:36
basis_type_names
const char * basis_type_names[]
Definition: cijk_nonzeros.cpp:38
CC_LEGENDRE
Definition: cijk_nonzeros.cpp:34
basis_type_values
const BasisType basis_type_values[]
Definition: cijk_nonzeros.cpp:36
SMOLYAK
Definition: cijk_nonzeros.cpp:48
num_prod_basis_types
const int num_prod_basis_types
Definition: cijk_nonzeros.cpp:49
Stokhos::GrowthPolicy
GrowthPolicy
Enumerated type for determining Smolyak growth policies.
Definition: Stokhos_RecurrenceBasis.hpp:18
TOTAL
Definition: cijk_nonzeros.cpp:48
growth_type_names
const char * growth_type_names[]
Definition: cijk_nonzeros.cpp:45
HERMITE
Definition: cijk_nonzeros.cpp:34
COMPLETE
Definition: cijk_nonzeros.cpp:48
ordering_type_values
const OrderingType ordering_type_values[]
Definition: cijk_partition.cpp:61
num_ordering_types
const int num_ordering_types
Definition: cijk_partition.cpp:60
Stokhos::SmolyakSparseGridQuadrature
Defines quadrature for a tensor product basis by Smolyak sparse grids.
Definition: Stokhos_SmolyakSparseGridQuadrature.hpp:31
Stokhos::TotalOrderLess
A comparison functor implementing a strict weak ordering based total-order ordering, recursive on the dimension.
Definition: Stokhos_ProductBasisUtils.hpp:817
GP_LEGENDRE
Definition: cijk_nonzeros.cpp:34
OrderingType
OrderingType
Definition: cijk_partition.cpp:59
JACOBI
Definition: cijk_nonzeros.cpp:34
Stokhos::GaussPattersonLegendreBasis
Legendre polynomial basis using Gauss-Patterson quadrature points.
Definition: Stokhos_GaussPattersonLegendreBasis.hpp:23
ProductBasisType
ProductBasisType
Definition: cijk_nonzeros.cpp:48
LEGENDRE
Definition: cijk_nonzeros.cpp:34
Teuchos::rcp
TEUCHOS_DEPRECATED RCP< T > rcp(T *p, Dealloc_T dealloc, bool owns_mem)
Stokhos::RysBasis
Rys polynomial basis.
Definition: Stokhos_RysBasis.hpp:33
Teuchos::CommandLineProcessor::setOption
void setOption(const char option_true[], const char option_false[], bool *option_val, const char documentation[]=NULL)
num_growth_types
const int num_growth_types
Definition: cijk_nonzeros.cpp:42
Stokhos::JacobiBasis
Jacobi polynomial basis.
Definition: Stokhos_JacobiBasis.hpp:60
Teuchos::CommandLineProcessor::parse
EParseCommandLineReturn parse(int argc, char *argv[], std::ostream *errout=&std::cerr) const
BasisType
BasisType
Definition: cijk_nonzeros.cpp:34
LEXICOGRAPHIC_ORDERING
Definition: cijk_partition.cpp:59
growth_type_values
const Stokhos::GrowthPolicy growth_type_values[]
Definition: cijk_nonzeros.cpp:43
Stokhos::SmolyakBasis
Multivariate orthogonal polynomial basis generated from a Smolyak sparse grid.
Definition: Stokhos_SmolyakBasis.hpp:30
Stokhos::TensorProductBasis
Multivariate orthogonal polynomial basis generated from a tensor product of univariate polynomials...
Definition: Stokhos_TensorProductBasis.hpp:37
Stokhos::LegendreBasis
Legendre polynomial basis.
Definition: Stokhos_LegendreBasis.hpp:33
main
int main(int argc, char **argv)
Definition: cijk_ltb_partition.cpp:25
Stokhos::TotalOrderIndexSet
An isotropic total order index set.
Definition: Stokhos_ProductBasisUtils.hpp:183
Stokhos::MortonZLess
A comparison functor implementing a strict weak ordering based Morton Z-ordering. ...
Definition: Stokhos_ProductBasisUtils.hpp:870
Stokhos::ClenshawCurtisLegendreBasis
Legendre polynomial basis using Clenshaw-Curtis quadrature points.
Definition: Stokhos_ClenshawCurtisLegendreBasis.hpp:23
Teuchos_CommandLineProcessor.hpp
Teuchos::CommandLineProcessor::setDocString
void setDocString(const char doc_string[])
TENSOR
Definition: cijk_nonzeros.cpp:48
Stokhos::LexographicLess
A comparison functor implementing a strict weak ordering based lexographic ordering.
Definition: Stokhos_ProductBasisUtils.hpp:767
num_basis_types
const int num_basis_types
Definition: cijk_nonzeros.cpp:35
ordering_type_names
const char * ordering_type_names[]
Definition: cijk_partition.cpp:63
prod_basis_type_names
const char * prod_basis_type_names[]
Definition: cijk_nonzeros.cpp:52
TOTAL_ORDERING
Definition: cijk_partition.cpp:59
CLP
Definition: gram_schmidt_example3.cpp:53
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