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The interpolation library provides six interpolation types:

- Interpolation Type:
**gsl_interp_linear** -
Linear interpolation. This interpolation method does not require any additional memory.

- Interpolation Type:
**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.

- Interpolation Type:
**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.

- Interpolation Type:
**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.

- Interpolation Type:
**gsl_interp_akima** -
Non-rounded Akima spline with natural boundary conditions. This method uses the non-rounded corner algorithm of Wodicka.

- Interpolation Type:
**gsl_interp_akima_periodic** Non-rounded Akima spline with periodic boundary conditions. This method uses the non-rounded corner algorithm of Wodicka.

The following related functions are available:

- Function:
*const char ****gsl_interp_name***(const gsl_interp **`interp`) This function returns the name of the interpolation type used by

`interp`. For example,printf ("interp uses '%s' interpolation.\n", gsl_interp_name (interp));

would print something like,

interp uses 'cspline' interpolation.

- Function:
*unsigned int***gsl_interp_min_size***(const gsl_interp **`interp`) - Function:
*unsigned int***gsl_interp_type_min_size***(const gsl_interp_type **`T`) These functions return the minimum number of points required by the interpolation object

`interp`or interpolation type`T`. For example, Akima spline interpolation requires a minimum of 5 points.

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