cubic_impl.hpp File Reference

#include <vector>

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Functions
void	hermite::spline (const double t[], const double y[], const int n, const double yp1, const double ypn, double y2[])
	Calculates second derivatives at tabulated points. More...
bool	hermite::splpos (const double xa[], const double ya[], const double y2a[], const int n, const double x, double *y)
	Calculates position of spline. More...
bool	hermite::splvel (const double xa[], const double ya[], const double y2a[], const int n, const double x, double *y)
	Calculates velocity of spline. More...
bool	hermite::splacc (const double xa[], const double ya[], const double y2a[], const int n, const double x, double *y)
	Calculates acceleration of spline. More...

Detailed Description

A lower-level spline solver for a natural cubic spline

Function Documentation

splacc()

bool hermite::splacc ( const double  xa[], const double  ya[], const double  y2a[], const int  n, const double  x, double *  y  )

inline

Calculates acceleration of spline.

https://archive.org/details/NumericalRecipes/page/n139/mode/2up

Parameters

xa	The time values of each point where splines are supposed to join up.
ya	The y-values of each know point.
y2a	Second derivatives, calculated from spline()
n	Number of points
x	Point to evaluate
y	Pointer to result

Returns

True on success, false on failure

spline()

void hermite::spline ( const double  t[], const double  y[], const int  n, const double  yp1, const double  ypn, double  y2[]  )

inline

Calculates second derivatives at tabulated points.

https://archive.org/details/NumericalRecipes/page/n139/mode/2up

Parameters

t	The time values of each point where splines are supposed to join up.
y	The y-values of each know point.
n	Number of points.
yp1	The velocity at the first point
ypn	The velocity at the last point
y2	Output array, filled with second derivatives at each point.

splpos()

bool hermite::splpos ( const double  xa[], const double  ya[], const double  y2a[], const int  n, const double  x, double *  y  )

inline

Calculates position of spline.

https://archive.org/details/NumericalRecipes/page/n139/mode/2up

Parameters

xa	The time values of each point where splines are supposed to join up.
ya	The y-values of each know point.
y2a	Second derivatives, calculated from spline()
n	Number of points
x	Point to evaluate
y	Pointer to result

Returns

True on success, false on failure

splvel()

bool hermite::splvel ( const double  xa[], const double  ya[], const double  y2a[], const int  n, const double  x, double *  y  )

inline

Calculates velocity of spline.

https://archive.org/details/NumericalRecipes/page/n139/mode/2up

Parameters

xa	The time values of each point where splines are supposed to join up.
ya	The y-values of each know point.
y2a	Second derivatives, calculated from spline()
n	Number of points
x	Point to evaluate
y	Pointer to result

Returns

True on success, false on failure