Spline Class Reference

Public Member Functions
	Spline ()
	Constructor by default.
	Spline (int N0, double *x0, double *z0, double minrc, int N1=0, double *x1=NULL, double *z1=NULL)
	~Spline ()
	Destructor.
void	NewSpline (int N, double *x, double *z, int N1, double *x1, double *z1, double rc)
void	GetPoints (int N1, double *x1, double *z1, int flag, int n1=-1, int n2=-1)
int	GetN ()
	Method returns approximated function nodes number.
void	GetXZ (double *x1, double *z1)
void	GetABCD (double *a, double *b, double *c, double *d)
	Method allows to get N-1 spline coefficients.
double	GetSigma ()
	Method returns mean-square deviation between spline and initial function.
double	GetAmax ()
	Method returns maximal absolute deviation between spline and initial curve.
double	GetMinRc ()
	Method returns spline minimal curvature radius.
bool	SplineFunction (double xt, double &zt)
bool	DerSplineFunction (double xt, double &zt)
bool	Der2SplineFunction (double xt, double &zt)
bool	CurvitySplineFunction (double xt, double &zt)
bool	RadiusCurvitySplineFunction (double xt, double &zt)
bool	SplineIntersection (double x0, double z0, double x1, double z1, double eps, double &xg, double &zg)
bool	SpIntersect (double x, double z, double x2, double z2, double &resultX, double &resultZ)

Constructor & Destructor Documentation

Spline::Spline	(	int	N0,
		double *	x0,
		double *	z0,
		double	minrc,
		int	N1 = 0,
		double *	x1 = NULL,
		double *	z1 = NULL
	)

Constructor analyses N nodes (x,z) and adds N1 immovable nodes (x1,z1) rc - curvature minimal radius, which sets the smoothing

Member Function Documentation

bool Spline::CurvitySplineFunction	(	double	xt,
		double &	zt
	)

Function curvature calculation in the arbitrary point inside available x-argument values range (cubic spline coefficients are used)

bool Spline::Der2SplineFunction	(	double	xt,
		double &	zt
	)

Function second-order derivative calculation in the arbitrary point inside available x-argument values range (cubic spline coefficients are used)

bool Spline::DerSplineFunction	(	double	xt,
		double &	zt
	)

Function first-order derivative calculation in the arbitrary point inside available x-argument values range (cubic spline coefficients are used)

void Spline::GetPoints	(	int	N1,
		double *	x1,
		double *	z1,
		int	flag,
		int	n1 = -1,
		int	n2 = -1
	)

Method calculates the values of spline, first- and second-order derivatives, curvature or curvature radius - corresponding to the flag, in N1 points, located inside of available arguments values range, (constant step between points) , or between nodes n1 and n2

void Spline::GetXZ	(	double *	x1,
		double *	z1
	)

Method returns approximated function nodes coordinates. After smoothing z-coordinates of nodes will be another their values can be derived from coefficient d in method GetABCD

bool Spline::RadiusCurvitySplineFunction	(	double	xt,
		double &	zt
	)

Function curvature calculation in the arbitrary point inside available x-argument values range (cubic spline coefficients are used)

bool Spline::SplineFunction	(	double	xt,
		double &	zt
	)

Function value calculation in the arbitrary point inside available x-argument values range (cubic spline coefficients are used)

bool Spline::SplineIntersection	(	double	x0,
		double	z0,
		double	x1,
		double	z1,
		double	eps,
		double &	xg,
		double &	zg
	)

Procedure of spline/segment intersection point calculation the definition of the point of intersection of the ray, set by the segment (x0,z0) and (x1,z1), and the curve, set by the third-order polynomial.

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

• /net/opt/univers/ubp-i-15.3-centos7-x64.urij/include/mth/spline.hpp