interpolation_methods.h File Reference

InterpScheme class methods and supporting functions. More...

#include <complex>
#include "input_flags.h"

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Classes
class	InterpolationScheme
	Executes an interpolation scheme. More...

Enumerations
enum	scheme_value {   BAND_LIMITED_0 = 4 , BAND_LIMITED_1 = 6 , BAND_LIMITED_2 = 8 , BAND_LIMITED_3 = 9 ,   BAND_LIMITED_4 = 7 , BAND_LIMITED_5 = 5 , BAND_LIMITED_6 = 3 , BAND_LIMITED_7 = 2 ,   BAND_LIMITED_CELL_ZERO = 1 , CUBIC_INTERP_MIDDLE , CUBIC_INTERP_FIRST , CUBIC_INTERP_LAST = -2 }
	Defines our order of preference for the use of the various schemes. More...

Functions
const InterpolationScheme &	best_scheme (int datapts_in_direction, int interpolation_position, tdms_flags::InterpolationMethod interpolation_methods=tdms_flags::InterpolationMethod::Cubic)
	Determine the appropriate interpolation scheme to use, given the number of datapoints available and the position to which we wish to interpolate to.

Variables
const InterpolationScheme	BL0
const InterpolationScheme	BL1
const InterpolationScheme	BL2
const InterpolationScheme	BL3
const InterpolationScheme	BL4
const InterpolationScheme	BL5
const InterpolationScheme	BL6
const InterpolationScheme	BL7
const InterpolationScheme	BL_TO_CELL_0
const InterpolationScheme	CBFst
const InterpolationScheme	CBMid
const InterpolationScheme	CBLst

Detailed Description

InterpScheme class methods and supporting functions.

Author

William Graham (ccaeg.nosp@m.ra@u.nosp@m.cl.ac.nosp@m..uk)

Non InterpScheme methods are required to preserve functionality whilst testing new schemes

Enumeration Type Documentation

scheme_value

enum scheme_value

Defines our order of preference for the use of the various schemes.

There should never be an instance in which we wish to use BLi to position 7 - this will take us to a point OUTSIDE the computational domain. However for completion purposes (and if we find a use for it), it is included.

MODIFICATIONS TO THE ALIASED INTS WILL CHANGE THE ORDER OF SCHEME PREFERENCE!

For bandlimited schemes, we have 8 equidistant datapoints and can interpolate to the midpoint of any pair of consecutive points, or "half a point spacing" to the right of the final data point. These "interpolation positions" (interp positions) are marked with "o" below: v0 v1 v2 v3 v4 v5 v6 v7 o o o o o o o o We label these interp positions with the index of the point to the left: a data point at interp position 0 is effectively a data point "v0.5", being at the midpoint of v0 and v1, for example.

Function Documentation

best_scheme()

const InterpolationScheme & best_scheme	(	int	datapts_in_direction,
		int	interpolation_position,
		tdms_flags::InterpolationMethod	interpolation_methods = tdms_flags::InterpolationMethod::Cubic )

Determine the appropriate interpolation scheme to use, given the number of datapoints available and the position to which we wish to interpolate to.

Parameters

datapts_in_direction	The number of datapoints available along this axis
interpolation_position	Interpolation is to be performed to the midpoint of the datapoints indexed with (interpolation_position-1) and (interpolation_position)
interpolation_methods	The preferred interpolation methods to use

Returns

const InterpolationScheme&

Variable Documentation

BL0

const InterpolationScheme BL0

Initial value:

                      = InterpolationScheme(
BAND_LIMITED_0)

BL1

const InterpolationScheme BL1

Initial value:

                      = InterpolationScheme(
BAND_LIMITED_1)

BL2

const InterpolationScheme BL2

Initial value:

                      = InterpolationScheme(
BAND_LIMITED_2)

BL3

const InterpolationScheme BL3

Initial value:

                      = InterpolationScheme(
BAND_LIMITED_3)

BL4

const InterpolationScheme BL4

Initial value:

                      = InterpolationScheme(
BAND_LIMITED_4)

BL5

const InterpolationScheme BL5

Initial value:

                      = InterpolationScheme(
BAND_LIMITED_5)

BL6

const InterpolationScheme BL6

Initial value:

                      = InterpolationScheme(
BAND_LIMITED_6)

BL7

const InterpolationScheme BL7

Initial value:

                      =
InterpolationScheme(BAND_LIMITED_7)

BL_TO_CELL_0

const InterpolationScheme BL_TO_CELL_0

Initial value:

                               = InterpolationScheme(
BAND_LIMITED_CELL_ZERO)

CBFst

const InterpolationScheme CBFst

Initial value:

                        = InterpolationScheme(
CUBIC_INTERP_FIRST)

CBLst

const InterpolationScheme CBLst

Initial value:

                        = InterpolationScheme(
CUBIC_INTERP_LAST)

CBMid

const InterpolationScheme CBMid

Initial value:

                        = InterpolationScheme(
CUBIC_INTERP_MIDDLE)