gram_schmidt_example3.cpp File Reference

#include <iostream>
#include <iomanip>
#include "Stokhos.hpp"
#include "Stokhos_Sacado.hpp"
#include "Stokhos_ReducedBasisFactory.hpp"
#include "Teuchos_CommandLineProcessor.hpp"
#include "Teuchos_TabularOutputter.hpp"

Include dependency graph for gram_schmidt_example3.cpp:

Go to the source code of this file.

Classes
struct	MyOptions
class	MyResults

Typedefs
typedef Stokhos::LegendreBasis< int, double >	basis_type
typedef Sacado::ETPCE::OrthogPoly< double, Stokhos::StandardStorage< int, double > >	pce_type

Enumerations
enum	Quadrature_Method { TENSOR , SPARSE }
enum	Reduced_Basis_Method {   LANCZOS , MONOMIAL_PROJ_GS , MONOMIAL_PROJ_GS2 , MONOMIAL_GS ,   LANCZOS_GS }
enum	Orthogonalization_Method {   HOUSEHOLDER , HOUSEHOLDER_NP , CGS , MGS ,   MGSRO , MGSNP , MGSNPRO , SVD }
enum	Quadrature_Reduction_Method { NONE , QSQUARED , QSQUARED2 , Q2 }
enum	Solver_Method {   TRSM , GLPK , CLP , CLP_IP ,   QPOASES , BASIS_PURSUIT , ORTHOGONAL_MATCHING_PURSUIT }

Functions
template<class ScalarType>
ScalarType	f (const Teuchos::Array< ScalarType > &x, double a, double b)
template<class ScalarType>
ScalarType	g (const Teuchos::Array< ScalarType > &x, const ScalarType &y)
double	coeff_error (const pce_type &z, const pce_type &z2)
double	disc_orthog_error (const Stokhos::OrthogPolyBasis< int, double > &basis, const Stokhos::Quadrature< int, double > &quad)
void	compute_pces (bool compute_z_red, int p, const MyOptions &options, MyResults &results)
int	main (int argc, char **argv)

Variables
static const int	num_quadrature_method = 2
static const Quadrature_Method	quadrature_method_values []
static const char *	quadrature_method_names []
static const int	num_reduced_basis_method = 5
static const Reduced_Basis_Method	reduced_basis_method_values []
static const char *	reduced_basis_method_names []
static const int	num_orthogonalization_method = 8
static const Orthogonalization_Method	orthogonalization_method_values []
static const char *	orthogonalization_method_names []
static const int	num_quad_reduction_method = 4
static const Quadrature_Reduction_Method	quad_reduction_method_values []
static const char *	quad_reduction_method_names []
static const int	num_solver_method = 7
static const Solver_Method	solver_method_values []
static const char *	solver_method_names []

Typedef Documentation

basis_type

typedef Stokhos::LegendreBasis<int,double> basis_type

Definition at line 94 of file gram_schmidt_example3.cpp.

pce_type

typedef Sacado::ETPCE::OrthogPoly<double, Stokhos::StandardStorage<int,double> > pce_type

Definition at line 95 of file gram_schmidt_example3.cpp.

Enumeration Type Documentation

Quadrature_Method

enum Quadrature_Method

Enumerator
TENSOR
SPARSE

Definition at line 55 of file gram_schmidt_example3.cpp.

Reduced_Basis_Method

enum Reduced_Basis_Method

Enumerator
LANCZOS
MONOMIAL_PROJ_GS
MONOMIAL_PROJ_GS2
MONOMIAL_GS
LANCZOS_GS

Definition at line 63 of file gram_schmidt_example3.cpp.

Orthogonalization_Method

enum Orthogonalization_Method

Enumerator
HOUSEHOLDER
HOUSEHOLDER_NP
CGS
MGS
MGSRO
MGSNP
MGSNPRO
SVD

Definition at line 71 of file gram_schmidt_example3.cpp.

Quadrature_Reduction_Method

enum Quadrature_Reduction_Method

Enumerator
NONE
QSQUARED
QSQUARED2
Q2

Definition at line 79 of file gram_schmidt_example3.cpp.

Solver_Method

enum Solver_Method

Enumerator
TRSM
GLPK
CLP
CLP_IP
QPOASES
BASIS_PURSUIT
ORTHOGONAL_MATCHING_PURSUIT

Definition at line 87 of file gram_schmidt_example3.cpp.

Function Documentation

f()

template<class ScalarType>

ScalarType f ( const Teuchos::Array< ScalarType > & x, double a, double b )

inline

Definition at line 98 of file gram_schmidt_example3.cpp.

g()

template<class ScalarType>

ScalarType g ( const Teuchos::Array< ScalarType > & x, const ScalarType & y )

inline

Definition at line 109 of file gram_schmidt_example3.cpp.

coeff_error()

double coeff_error	(	const pce_type &	z,
		const pce_type &	z2 )

Definition at line 121 of file gram_schmidt_example3.cpp.

disc_orthog_error()

double disc_orthog_error	(	const Stokhos::OrthogPolyBasis< int, double > &	basis,
		const Stokhos::Quadrature< int, double > &	quad )

Definition at line 131 of file gram_schmidt_example3.cpp.

compute_pces()

void compute_pces	(	bool	compute_z_red,
		int	p,
		const MyOptions &	options,
		MyResults &	results )

Definition at line 205 of file gram_schmidt_example3.cpp.

main()

int main	(	int	argc,
		char **	argv )

Definition at line 358 of file gram_schmidt_example3.cpp.

Variable Documentation

num_quadrature_method

const int num_quadrature_method = 2

static

Definition at line 56 of file gram_schmidt_example3.cpp.

quadrature_method_values

const Quadrature_Method quadrature_method_values[]

static

Initial value:

= { 
  TENSOR, SPARSE }

Definition at line 57 of file gram_schmidt_example3.cpp.

quadrature_method_names

const char* quadrature_method_names[]

static

Initial value:

= { 
  "Tensor", "Sparse" }

Definition at line 59 of file gram_schmidt_example3.cpp.

num_reduced_basis_method

const int num_reduced_basis_method = 5

static

Definition at line 64 of file gram_schmidt_example3.cpp.

reduced_basis_method_values

const Reduced_Basis_Method reduced_basis_method_values[]

static

Initial value:

= { 
  LANCZOS, MONOMIAL_PROJ_GS, MONOMIAL_PROJ_GS2, MONOMIAL_GS, LANCZOS_GS }

Definition at line 65 of file gram_schmidt_example3.cpp.

reduced_basis_method_names

const char* reduced_basis_method_names[]

static

Initial value:

= { 
  "Lanczos", "Monomial-Proj-GS", "Monomial-Proj-GS2", "Monomial-GS", "Lanczos-GS" }

Definition at line 67 of file gram_schmidt_example3.cpp.

num_orthogonalization_method

const int num_orthogonalization_method = 8

static

Definition at line 72 of file gram_schmidt_example3.cpp.

orthogonalization_method_values

const Orthogonalization_Method orthogonalization_method_values[]

static

Initial value:

= { 
  HOUSEHOLDER, HOUSEHOLDER_NP, CGS, MGS, MGSRO, MGSNP, MGSNPRO, SVD }

Definition at line 73 of file gram_schmidt_example3.cpp.

orthogonalization_method_names

const char* orthogonalization_method_names[]

static

Initial value:

= { 
  "Householder", "Householder without Pivoting", "Classical Gram-Schmidt", "Modified Gram-Schmidt", "Modified Gram-Schmidt with Reorthogonalization", "Modified Gram-Schmidt without Pivoting", "Modified Gram-Schmidt without Pivoting with Reorthogonalization", "SVD" }

Definition at line 75 of file gram_schmidt_example3.cpp.

num_quad_reduction_method

const int num_quad_reduction_method = 4

static

Definition at line 80 of file gram_schmidt_example3.cpp.

quad_reduction_method_values

const Quadrature_Reduction_Method quad_reduction_method_values[]

static

Initial value:

= { 
  NONE, QSQUARED, QSQUARED2, Q2 }

Definition at line 81 of file gram_schmidt_example3.cpp.

quad_reduction_method_names

const char* quad_reduction_method_names[]

static

Initial value:

= { 
  "None", "Q Squared", "Q Squared2", "Q2" }

Definition at line 83 of file gram_schmidt_example3.cpp.

num_solver_method

const int num_solver_method = 7

static

Definition at line 88 of file gram_schmidt_example3.cpp.

solver_method_values

const Solver_Method solver_method_values[]

static

Initial value:

= { 
  TRSM, GLPK, CLP, CLP_IP, QPOASES, BASIS_PURSUIT, ORTHOGONAL_MATCHING_PURSUIT }

Definition at line 89 of file gram_schmidt_example3.cpp.

solver_method_names

const char* solver_method_names[]

static

Initial value:

= { 
  "TRSM", "GLPK", "Clp", "Clp-IP", "qpOASES", "Basis Pursuit", "Orthogonal Matching Pursuit" }

Definition at line 91 of file gram_schmidt_example3.cpp.