Support for B-Spline of a curve. More...

#include <BSpline.h>

Inheritance diagram for sierra::nalu::BSpline1D:

Public Member Functions
	BSpline1D (const int order, const std::vector< double > &indepVars, const std::vector< double > &depVars, const bool allowClipping=true)
	Construct a 1-D bspline curve of the desired order by fitting to a set of data points. More...

	BSpline1D (const bool allowClipping=true)
	Construct a skeletal 1D spline. More...

	BSpline1D (const BSpline1D &)
	Copy constructor. More...

BSpline *	clone () const
	copy this object and return a BSpline pointer More...

	~BSpline1D ()

double	value (const double *indepVar) const
	Evaluate the dependent variable via interpolation at the given value of the dependent variable. More...

double	value (const double &x) const

const std::vector< double > &	get_control_pts () const

std::vector< double > &	get_control_pts ()

const std::vector< double > &	get_knot_vector () const

int	get_npts () const

double	get_maxval () const

double	get_minval () const

const std::vector< double > &	get_basisfun () const

void	sort_inputs (const std::vector< double > &indepVars, const std::vector< double > &depVars, std::vector< double > &sortedIndepVars, std::vector< double > &sortedDepVars) const

void	dump ()
	Dump out information about this bspline. More...

void	write_hdf5 (H5IO &io) const
	Write a spline to an HDF5 database. More...

void	read_hdf5 (H5IO &io)
	Read a spline from an HDF5 database. More...

bool	operator== (const BSpline1D &a) const

bool	operator!= (const BSpline1D &a) const

Public Member Functions inherited from sierra::nalu::BSpline
	BSpline (const int order, const int dimension, const bool enableValueClipping=true)

virtual	~BSpline ()

int	get_order () const
	Query the order of accuracy for this spline. More...

int	get_dimension () const
	Query the dimensionality of this spline (number of independent variables) More...

double	value (std::vector< double > &x) const

Private Member Functions
void	compute_control_pts (const std::vector< double > &indepVars, const std::vector< double > &depVars)
	Compute the control points for this B-spline surface. More...

BSpline1D &	operator= (const BSpline1D &)

Private Attributes
int	npts_

double	maxIndepVarVal_

double	minIndepVarVal_

std::vector< double >	knots_

std::vector< double >	controlPts_

std::vector< double >	basisFun_

Additional Inherited Members
Protected Attributes inherited from sierra::nalu::BSpline
int	order_

const int	dim_

const bool	enableValueClipping_

Detailed Description

Support for B-Spline of a curve.

Author: James C. Sutherland

Date: November, 2005

See "The NURBS Book" second edition, Chapter 9.

Constructor & Destructor Documentation

sierra::nalu::BSpline1D::BSpline1D	(	const int	order,
		const std::vector< double > &	indepVars,
		const std::vector< double > &	depVars,
		const bool	allowClipping = `true`
	)

Construct a 1-D bspline curve of the desired order by fitting to a set of data points.

Parameters

order	: Order of accuracy for interpolant, gives (order-1 continuous derivatives)
indepVars1	: std::vector of independent variables
depVars	: std::vector of dependent variables

References basisFun_, compute_control_pts(), and sierra::nalu::BSpline::order_.

sierra::nalu::BSpline1D::BSpline1D ( const bool allowClipping = true )

Construct a skeletal 1D spline.

Useful when loading splined data from disk.

sierra::nalu::BSpline1D::BSpline1D ( const BSpline1D & src )

Copy constructor.

References basisFun_, controlPts_, knots_, maxIndepVarVal_, minIndepVarVal_, npts_, and sierra::nalu::BSpline::order_.

sierra::nalu::BSpline1D::~BSpline1D ( )

Member Function Documentation

BSpline* sierra::nalu::BSpline1D::clone ( ) const

inlinevirtual

copy this object and return a BSpline pointer

Implements sierra::nalu::BSpline.

References sierra::nalu::BSpline::value().

void sierra::nalu::BSpline1D::compute_control_pts	(	const std::vector< double > &	indepVars,
		const std::vector< double > &	depVars
	)

private

Compute the control points for this B-spline surface.

This requires solution of a linear system of equations.

References sierra::nalu::LU::back_subs(), sierra::nalu::basis_funs(), basisFun_, controlPts_, sierra::nalu::LU::decompose(), sierra::nalu::find_indx(), knots_, maxIndepVarVal_, minIndepVarVal_, npts_, sierra::nalu::BSpline::order_, sierra::nalu::set_knot_vector(), sierra::nalu::set_uk(), and sort_inputs().

Referenced by BSpline1D().

void sierra::nalu::BSpline1D::dump ( )

Dump out information about this bspline.

References controlPts_, knots_, maxIndepVarVal_, minIndepVarVal_, npts_, and sierra::nalu::BSpline::order_.

const std::vector<double>& sierra::nalu::BSpline1D::get_basisfun ( ) const

inline

References sierra::nalu::BSpline::read_hdf5(), and sierra::nalu::BSpline::write_hdf5().

const std::vector<double>& sierra::nalu::BSpline1D::get_control_pts ( ) const

inline

Referenced by sierra::nalu::BSpline2D::compute_control_pts(), sierra::nalu::BSpline3D::compute_control_pts(), sierra::nalu::BSpline4D::compute_control_pts(), sierra::nalu::BSpline5D::compute_control_pts(), sierra::nalu::BSpline2D::value(), sierra::nalu::BSpline3D::value(), sierra::nalu::BSpline4D::value(), and sierra::nalu::BSpline5D::value().

std::vector<double>& sierra::nalu::BSpline1D::get_control_pts ( )

inline

const std::vector<double>& sierra::nalu::BSpline1D::get_knot_vector ( ) const

inline

Referenced by sierra::nalu::BSpline2D::value(), sierra::nalu::BSpline3D::value(), sierra::nalu::BSpline4D::value(), and sierra::nalu::BSpline5D::value().

double sierra::nalu::BSpline1D::get_maxval ( ) const

inline

Referenced by sierra::nalu::BSpline2D::value(), sierra::nalu::BSpline3D::value(), sierra::nalu::BSpline4D::value(), and sierra::nalu::BSpline5D::value().

double sierra::nalu::BSpline1D::get_minval ( ) const

inline

Referenced by sierra::nalu::BSpline2D::value(), sierra::nalu::BSpline3D::value(), sierra::nalu::BSpline4D::value(), and sierra::nalu::BSpline5D::value().

int sierra::nalu::BSpline1D::get_npts ( ) const

inline

Referenced by sierra::nalu::BSpline2D::value(), sierra::nalu::BSpline3D::value(), sierra::nalu::BSpline4D::value(), and sierra::nalu::BSpline5D::value().

bool sierra::nalu::BSpline1D::operator!= ( const BSpline1D & a ) const

inline

BSpline1D& sierra::nalu::BSpline1D::operator= ( const BSpline1D & )

private

bool sierra::nalu::BSpline1D::operator== ( const BSpline1D & a ) const

inline

References controlPts_, knots_, maxIndepVarVal_, minIndepVarVal_, and npts_.

void sierra::nalu::BSpline1D::read_hdf5 ( H5IO & io )

virtual

Read a spline from an HDF5 database.

The file should be opened and an hdf5 "group" specified. This spline will be read from the specified group.

Implements sierra::nalu::BSpline.

References basisFun_, controlPts_, sierra::nalu::H5IO::file_version(), knots_, maxIndepVarVal_, minIndepVarVal_, npts_, sierra::nalu::BSpline::order_, sierra::nalu::H5IO::read_attribute(), and sierra::nalu::H5IO::read_dataset().

Referenced by sierra::nalu::BSpline2D::read_hdf5(), sierra::nalu::BSpline3D::read_hdf5(), sierra::nalu::BSpline4D::read_hdf5(), and sierra::nalu::BSpline5D::read_hdf5().

void sierra::nalu::BSpline1D::sort_inputs	(	const std::vector< double > &	indepVars,
		const std::vector< double > &	depVars,
		std::vector< double > &	sortedIndepVars,
		std::vector< double > &	sortedDepVars
	)		const