CAROM::Interpolator Class Reference

#include <Interpolator.h>

Inheritance diagram for CAROM::Interpolator:

Protected Member Functions
	Interpolator (std::vector< Vector * > parameter_points, std::vector< Matrix * > rotation_matrices, int ref_point, std::string rbf, double epsilon=1.0)
	Constructor. More...
std::vector< double >	obtainRBFToTrainingPoints (Vector *point)
	Compute the RBF from the parameter points with the unsampled parameter point. More...
double	obtainRBF (Vector *point1, Vector *point2)
	Compute the RBF between two points. More...

Protected Attributes
int	d_rank
	The rank of the process this object belongs to.
int	d_num_procs
	The number of processors being run on.
int	d_ref_point
	The index within the vector of parameter points to the reference point.
std::string	d_rbf
	The RBF type (gaussian, multiquadric, inverse quadratic, inverse multiquadric)
int	d_epsilon
	The RBF parameter that determines the width of influence. a small epsilon: larger influential width a large epsilon: smaller influential width.
std::vector< Vector * >	d_parameter_points
	The sampled parameter points.
std::vector< Matrix * >	d_rotation_matrices
	The reduced bases with compatible coordinates.
Matrix *	d_lambda_T
	The reduced elements in tangential space.

Detailed Description

Interpolator is an uninstantiable protected class that retains common functionality between the MatrixInterpolator and VectorInterpolator classes. The interpolation algorithm was adapted from "Gradient-based Constrained Optimization Using a Database of Linear Reduced-Order Models" by Y. Choi et al.

Constructor & Destructor Documentation

CAROM::Interpolator::Interpolator ( std::vector< Vector * >  parameter_points, std::vector< Matrix * >  rotation_matrices, int  ref_point, std::string  rbf, double  epsilon = 1.0  )

protected

Constructor.

Parameters

[in]	parameter_points	The parameter points.
[in]	rotation_matrices	The rotation matrices associated with each parameter point.
[in]	ref_point	The index within the vector of parameter points to the reference point
[in]	rbf	The RBF type ("G" == gaussian, "MQ" == multiquadric, "IQ" == inverse quadratic, "IMQ" == inverse multiquadric)
[in]	epsilon	The RBF parameter that determines the width of influence.

Member Function Documentation

double CAROM::Interpolator::obtainRBF ( Vector *  point1, Vector *  point2  )

protected

Compute the RBF between two points.

Parameters

[in]	point1	The first point.
[in]	point2	The second point.

std::vector<double> CAROM::Interpolator::obtainRBFToTrainingPoints ( Vector *  point )

protected

Compute the RBF from the parameter points with the unsampled parameter point.

Parameters

[in]

point

The unsampled parameter point.

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The documentation for this class was generated from the following file:

• lib/algo/manifold_interp/Interpolator.h