#include <cubicpiecewisefunction.h>

Collaboration diagram for adore::mad::CubicPiecewiseFunction:

Classes
struct	LocalCoordination

struct	PieceweisePolynomial

Static Public Member Functions
static void	BreaksGenerator (double *Userbreaks, int UserbreaksLength, double start, double resolution)

static std::vector< double >	BreaksGenerator (double start, double end, int NumberOfPoints)

static void	BreaksGeneratorExp (double *Userbreaks, int NumOfPoints, double start, double end)

static void	smoothingSpline (PieceweisePolynomial pp, double input_x, double input_y, double input_w, int inputLength, double smoothingFactor)

static void	fit (PieceweisePolynomial pp, double input_x, double input_y, double input_w, int inputLength, double smoothingFactor)

static LocalCoordination	localCoordination (double *Userbreaks, int UserbreaksLength, PieceweisePolynomial &pp)

static void	CubicSplineEvaluation (double interpolatedSpline, double d_interpolatedSpline, double dd_interpolatedSpline, double ddd_interpolatedSpline, double *Userbreaks, int UserbreaksLength, PieceweisePolynomial &pp)

static void	CubicSplineEvaluation (double interpolatedSpline, double d_interpolatedSpline, double dd_interpolatedSpline, double Userbreaks, int UserbreaksLength, PieceweisePolynomial &pp)

static void	CubicSplineEvaluation (double interpolatedSpline, double d_interpolatedSpline, double *Userbreaks, int UserbreaksLength, PieceweisePolynomial &pp)

static void	CubicSplineEvaluation (double interpolatedSpline, double Userbreaks, int UserbreaksLength, PieceweisePolynomial &pp)

static void	toPolynomialFrom (PieceweisePolynomial pp, double input_breaks, double input_coef1, double input_coef2, double input_coef3, double input_coef4, int inputLength)

static int	findIndex (double point, PieceweisePolynomial &pp)

static double	splineEvaluation (int index, double point, PieceweisePolynomial &pp)

static void	deleteCubicSplinepp (PieceweisePolynomial &pp)

static void	deleteCubicSplinepp1 (PieceweisePolynomial *pp)

Static Private Member Functions
static void	repeatedValueInterpolation (double output_x, double output_y, double output_weight, int outputLength, double input_x, double input_y, double *input_weight, int inputLength)

Detailed Description

This class creates smoothend cubic piecewise polynomial https://wiki.dlr.de/confluence/display/fau/How+to+use+Fit+function

Member Function Documentation

◆ BreaksGenerator() [1/2]

void CubicPiecewiseFunction::BreaksGenerator	(	double *	Userbreaks,
		int	UserbreaksLength,
		double	start,
		double	resolution
	)

static

generates the break points from a starting point with a given resolution

Parameters

Userbreaks	is the generated breaks (output)
UserbreaksLength	is the size of Userbreaks (input)
start	is the first break value (input)
resolution	is the breaks resolution (input)

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◆ BreaksGenerator() [2/2]

std::vector< double > CubicPiecewiseFunction::BreaksGenerator	(	double	start,
		double	end,
		int	NumberOfPoints
	)

static

generates the break points from a starting point to an end point

Parameters

start	is the first break value (input)
end	is the last break value (input)
NumberOfPoints	is the number of breaks

Returns: is breaks

◆ BreaksGeneratorExp()

void CubicPiecewiseFunction::BreaksGeneratorExp	(	double *	Userbreaks,
		int	NumOfPoints,
		double	start,
		double	end
	)

static

generates the break points from a starting point to an end point with exponential resolution

Parameters

Userbreaks	is the generated breaks (output)
NumberOfPoints	is the number of breaks
start	is the first break value (input)
end	is the last break value (input)

Returns: is breaks

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◆ CubicSplineEvaluation() [1/4]

void CubicPiecewiseFunction::CubicSplineEvaluation	(	double *	interpolatedSpline,
		double *	d_interpolatedSpline,
		double *	dd_interpolatedSpline,
		double *	ddd_interpolatedSpline,
		double *	Userbreaks,
		int	UserbreaksLength,
		PieceweisePolynomial &	pp
	)

static

evaluates the cubic piecewise polynomial and its first, second and third derivative for a given breaks

Parameters

interpolatedSpline	is the interpolation result
d_interpolatedSpline	is the first derivative of interpolation result
dd_interpolatedSpline	is the second derivative of interpolation result
ddd_interpolatedSpline	is the third derivative of interpolation result
Userbreaks	is the given breaks
UserbreaksLength	is the size of Userbreaks
pp	is the structure containing the piecewise polynomial (breaks, coef_1, coef_2, coef_3, coef_4)

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◆ CubicSplineEvaluation() [2/4]

void CubicPiecewiseFunction::CubicSplineEvaluation	(	double *	interpolatedSpline,
		double *	d_interpolatedSpline,
		double *	dd_interpolatedSpline,
		double *	Userbreaks,
		int	UserbreaksLength,
		PieceweisePolynomial &	pp
	)

static

evaluates the cubic piecewise polynomial and its first and second derivative for a given breaks

Parameters

interpolatedSpline	is the interpolation result
d_interpolatedSpline	is the first derivative of interpolation result
dd_interpolatedSpline	is the second derivative of interpolation result
Userbreaks	is the given breaks
UserbreaksLength	is the size of Userbreaks
pp	is the structure containing the piecewise polynomial (breaks, coef_1, coef_2, coef_3, coef_4)

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◆ CubicSplineEvaluation() [3/4]

void CubicPiecewiseFunction::CubicSplineEvaluation	(	double *	interpolatedSpline,
		double *	d_interpolatedSpline,
		double *	Userbreaks,
		int	UserbreaksLength,
		PieceweisePolynomial &	pp
	)

static

evaluates the cubic piecewise polynomial and its first derivative for a given breaks

Parameters

interpolatedSpline	is the interpolation result
d_interpolatedSpline	is the first derivative of interpolation result
Userbreaks	is the given breaks
UserbreaksLength	is the size of Userbreaks
pp	is the structure containing the piecewise polynomial (breaks, coef_1, coef_2, coef_3, coef_4)

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◆ CubicSplineEvaluation() [4/4]

void CubicPiecewiseFunction::CubicSplineEvaluation	(	double *	interpolatedSpline,
		double *	Userbreaks,
		int	UserbreaksLength,
		PieceweisePolynomial &	pp
	)

static

evaluates the cubic piecewise polynomial for a given breaks

Parameters

interpolatedSpline	is the interpolation result
Userbreaks	is the given breaks
UserbreaksLength	is the size of Userbreaks
pp	is the structure containing the piecewise polynomial (breaks, coef_1, coef_2, coef_3, coef_4)

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◆ deleteCubicSplinepp()

void CubicPiecewiseFunction::deleteCubicSplinepp ( PieceweisePolynomial & pp )

static

delete a piecewise polynomial structure

Parameters

pp	is the structure containing the piecewise polynomial (breaks, coef_1, coef_2, coef_3, coef_4)

◆ deleteCubicSplinepp1()

void CubicPiecewiseFunction::deleteCubicSplinepp1 ( PieceweisePolynomial * pp )

static

delete a piecewise polynomial structure

Parameters

pp	is the structure containing the piecewise polynomial (breaks, coef_1, coef_2, coef_3, coef_4)

◆ findIndex()

int CubicPiecewiseFunction::findIndex	(	double	point,
		PieceweisePolynomial &	pp
	)

static

returns the index of a point witin breaks of a cubic peicewise polynomial

Parameters

point	is the given point
pp	is the structure containing the piecewise polynomial (breaks, coef_1, coef_2, coef_3, coef_4)

Returns: is the index

◆ fit()

void CubicPiecewiseFunction::fit	(	PieceweisePolynomial *	pp,
		double *	input_x,
		double *	input_y,
		double *	input_w,
		int	inputLength,
		double	smoothingFactor
	)

static

generates smoothend cubinc piecewise polynomial of a data

Parameters

pp	is the structure containing the piecewise polynomial (breaks, coef_1, coef_2, coef_3, coef_4)
input_x	is data vector (x_axis)
input_y	is data vector (y_axis)
input_w	is the weight of data [0, 1]
inputLength	is the input size
smoothingFactor	is the smoothing factor [0 , 1]

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◆ localCoordination()

CubicPiecewiseFunction::LocalCoordination CubicPiecewiseFunction::localCoordination	(	double *	Userbreaks,
		int	UserbreaksLength,
		PieceweisePolynomial &	pp
	)

static

matches the given breaks to the polynomial breaks

Parameters

Userbreaks	is the given breaks
UserbreaksLength	is the size of Userbreaks
pp	is the structure containing the piecewise polynomial (breaks, coef_1, coef_2, coef_3, coef_4)

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◆ repeatedValueInterpolation()

void CubicPiecewiseFunction::repeatedValueInterpolation	(	double *	output_x,
		double *	output_y,
		double *	output_weight,
		int *	outputLength,
		double *	input_x,
		double *	input_y,
		double *	input_weight,
		int	inputLength
	)

inlinestaticprivate

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◆ smoothingSpline()

void CubicPiecewiseFunction::smoothingSpline	(	PieceweisePolynomial *	pp,
		double *	input_x,
		double *	input_y,
		double *	input_w,
		int	inputLength,
		double	smoothingFactor
	)

static

generates smoothend cubinc piecewise polynomial of a data

Parameters

pp	is the structure containing the piecewise polynomial (breaks, coef_1, coef_2, coef_3, coef_4)
input_x	is data vector (x_axis)
input_y	is data vector (y_axis)
input_w	is the weight of data [0, 1]
inputLength	is the input size
smoothingFactor	is the smoothing factor [0 , 1]

dx from 1 to N-2 (Dx_i-1)

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◆ splineEvaluation()

double CubicPiecewiseFunction::splineEvaluation	(	int	index,
		double	point,
		PieceweisePolynomial &	pp
	)

static

evaluate a cubic piecewise polynomial at a given point

Parameters

index	is the index of a given point
point	is the given point
pp	is the structure containing the piecewise polynomial (breaks, coef_1, coef_2, coef_3, coef_4)

Returns: is the evaluated value

◆ toPolynomialFrom()

void CubicPiecewiseFunction::toPolynomialFrom	(	PieceweisePolynomial *	pp,
		double *	input_breaks,
		double *	input_coef1,
		double *	input_coef2,
		double *	input_coef3,
		double *	input_coef4,
		int	inputLength
	)

static

makes the piecewise polynomial

Parameters

pp	is the structure containing the piecewise polynomial (breaks, coef_1, coef_2, coef_3, coef_4)
input_breaks	is the given breaks
input_coef1	is the given coef_1
input_coef2	is the given coef_2
input_coef3	is the given coef_3
input_coef4	is the given coef_4
inputLength	is the size of the inputs

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The documentation for this class was generated from the following files:

/home/fascar/temp/adore/libadore/libadore/adore/mad/include/adore/mad/cubicpiecewisefunction.h
/home/fascar/temp/adore/libadore/libadore/adore/mad/src/cubic_piecewise_function.cpp

Classes

Static Public Member Functions

Static Private Member Functions

Detailed Description

Member Function Documentation

◆ BreaksGenerator() [1/2]

◆ BreaksGenerator() [2/2]

◆ BreaksGeneratorExp()

◆ CubicSplineEvaluation() [1/4]

◆ CubicSplineEvaluation() [2/4]

◆ CubicSplineEvaluation() [3/4]

◆ CubicSplineEvaluation() [4/4]

◆ deleteCubicSplinepp()

◆ deleteCubicSplinepp1()

◆ findIndex()

◆ fit()

◆ localCoordination()

◆ repeatedValueInterpolation()

◆ smoothingSpline()

◆ splineEvaluation()

◆ toPolynomialFrom()