interpolate.h File Reference

#include <algorithm>
#include <gsl/gsl_interp.h>
#include "arrays.h"

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Functions
template<typename T >
NumberArray< T >	interpolate (rArray const &x0, NumberArray< T > const &y0, rArray const &x)
	Return linearly interpolated values. More...
rArray	interpolate_real (rArray const &x0, rArray const &y0, rArray const &x, const gsl_interp_type *interpolation)
	Return values interpolated by O₂scl. More...

Function Documentation

template<typename T >

NumberArray<T> interpolate	(	rArray const &	x0,
		NumberArray< T > const &	y0,
		rArray const &	x
	)

Returns an array of interpolates of the array y0 for every value of x.

Parameters

x0	X-values for the discrete samples.
y0	Discrete samples
x	Evaluation (interpolation) points.

rArray interpolate_real ( rArray const &  x0, rArray const &  y0, rArray const &  x, const gsl_interp_type *  interpolation  )

inline

Returns an array of interpolates of the array y0 for every value of x.

Parameters

x0	X-values for the discrete samples.
y0	Discrete samples
x	Evaluation (interpolation) points.
interpolation	Interpolation type. gsl_interp_linear : Linear interpolation. This interpolation method does not require any additional memory. gsl_interp_polynomial : Polynomial interpolation. This method should only be used for interpolating small numbers of points because polynomial interpolation introduces large oscillations, even for well-behaved datasets. The number of terms in the interpolating polynomial is equal to the number of points. gsl_interp_cspline : Cubic spline with natural boundary conditions. The resulting curve is piecewise cubic on each interval, with matching first and second derivatives at the supplied data-points. The second derivative is chosen to be zero at the first point and last point. gsl_interp_cspline_periodic : Cubic spline with periodic boundary conditions. The resulting curve is piecewise cubic on each interval, with matching first and second derivatives at the supplied data-points. The derivatives at the first and last points are also matched. Note that the last point in the data must have the same y-value as the first point, otherwise the resulting periodic interpolation will have a discontinuity at the boundary. gsl_interp_akima : Non-rounded Akima spline with natural boundary conditions. This method uses the non-rounded corner algorithm of Wodicka. gsl_interp_akima_periodic : Non-rounded Akima spline with periodic boundary conditions. This method uses the non-rounded corner algorithm of Wodicka.