C4-continuous interpolation using quintic splines. More...

Functions
std::vector< double >	getCoeff (const std::vector< double > &samples, bool oddExtension=false)
	Generate quintic spline coefficients for a set of uniformly-spaced samples. More...

__hostanddev__ double	value (const double *coeff, double x)
	Compute value of quintic spline. Warning: x is not range-checked. More...

__hostanddev__ double	deriv (const double *coeff, double x)
	Compute derivative (w.r.t x) of quintic spline. Warning: x is not range-checked. More...

__hostanddev__ void	valueGrad (double E_value, double *E_coeff, double x)
	Gradient propagation corresponding to value() More...

Detailed Description

C4-continuous interpolation using quintic splines.

Function Documentation

__hostanddev__ double QuinticSpline::deriv	(	const double *	coeff,
		double	x
	)

Compute derivative (w.r.t x) of quintic spline. Warning: x is not range-checked.

Parameters

coeff	pointer to coefficient array generated by getCoeff
x	location to evaluate spline in the continuous range [0, nCoeff-1)

std::vector<double> QuinticSpline::getCoeff	(	const std::vector< double > &	samples,
		bool	oddExtension = `false`
	)

Generate quintic spline coefficients for a set of uniformly-spaced samples.

Parameters

samples	An array of uniformly-spaced samples
oddExtension	The boundary condition at the first sample is odd/even for oddExtension=true/false respectively. Natural boundary conditions (third and fourth derivatives zero) are imposed on the last sample.

__hostanddev__ double QuinticSpline::value	(	const double *	coeff,
		double	x
	)

Compute value of quintic spline. Warning: x is not range-checked.

Parameters

coeff	pointer to coefficient array generated by getCoeff
x	location to evaluate spline in the continuous range [0, nCoeff-1)

__hostanddev__ void QuinticSpline::valueGrad	(	double	E_value,
		double *	E_coeff,
		double	x
	)

Gradient propagation corresponding to value()

Parameters

E_value	Input derivative with respect to value
E_coeff