operaFit.h File Reference

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Functions
void	operaLMFitPolynomial (unsigned m_dat, double *x, double *y, int n_par, double par[], double *chi2, int verbose)
void	operaLMFitGaussian (unsigned m_dat, double *x, double *y, double *a, double *x0, double *sig, double *chi2, int verbose)
	This function performs Gaussian Fitting using the Levenberg-Marquardt method.
void	operaLMFit2DPolynomial (unsigned m_dat, double *x, double *y, double *fxy, int n_par, double par[], double *chi2, int verbose)
void	operaLMFit2DGaussian (unsigned m_dat, double *x, double *y, double *fxy, double *a, double *x0, double *y0, double *sigx, double *sigy, double *chi2, int verbose)
	This function performs 2D Gaussian Fitting using the Levenberg-Marquardt method.
void	operaFitSpline (unsigned nin, float *xin, float *yin, unsigned nout, float *xout, float *yout)
	This function performs interpolation of an input array using a sufficiently smooth piecewise-polynomial function (cubic spline)
void	operaFit2DSpline (unsigned nxin, float *xin, unsigned nyin, float *yin, double *fxyin, unsigned nxout, float *xout, unsigned nyout, float *yout, float *fxyout)
	This function performs interpolation of an input 2D-array using a sufficiently smooth piecewise-polynomial function (cubic spline)
void	spline (float x[], float y[], int n, float yp1, float ypn, float y2[])
void	splint (float xa[], float ya[], float y2a[], int n, float x, float *y)
void	splin2 (float x1a[], float x2a[], float **ya, float **y2a, int m, int n, float x1, float x2, float *y)
void	splie2 (float x1a[], float x2a[], float **ya, int m, int n, float **y2a)
void	operaMedfit (float xin[], float yin[], int ndata, float *a, float *b, float *abdev)
	This function performs robust linear fit: f(x) = a + b*x.
float	rofunc (float b)
	This function ...
float	select_nr (unsigned long k, unsigned long n, float arr[])
	This function ...
float **	matrix (long nrl, long nrh, long ncl, long nch)
void	free_matrix (float **m, long nrl, long nrh, long ncl, long nch)
float *	vector (long nl, long nh)
	This function allocates a float vector with subscript range v[nl..nh].
void	free_vector (float *v, long nl, long nh)
	This function frees a float vector allocated with vector().
void	nrerror (char error_text[])

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Function Documentation

void free_matrix	(	float **	m,
		long	nrl,
		long	nrh,
		long	ncl,
		long	nch
	)

void free_vector	(	float *	v,
		long	nl,
		long	nh
	)

This function frees a float vector allocated with vector().

fvoid free_vector(float *v, long nl, long nh)

Parameters:

v	is a double pointer that ..,
nl	is a long that ..,
nh	is a long that ..,

Returns:

void

float** matrix	(	long	nrl,
		long	nrh,
		long	ncl,
		long	nch
	)

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void nrerror

(

char

error_text[]

)

void operaFit2DSpline	(	unsigned	nxin,
		float *	xin,
		unsigned	nyin,
		float *	yin,
		double *	fxyin,
		unsigned	nxout,
		float *	xout,
		unsigned	nyout,
		float *	yout,
		float *	fxyout
	)

This function performs interpolation of an input 2D-array using a sufficiently smooth piecewise-polynomial function (cubic spline)

void operaFitSpline(unsigned nin, float *xin,float *yin, unsigned nout, float *xout, float *yout)

Parameters:

nxin	is an unsigned for the number of x input data points
xin	is a float array for the input x data points
nyin	is an unsigned for the number of y input data points
yin	is a float array for the input y data points
fxyin	is a float array for the input fxy data points
nxout	is an unsigned for the number of x output data points.
xout	is a float array for the output x data points, which should be provided.
nyout	is an unsigned for the number of y output data points.
yout	is a float array for the output y data points, which should be provided.
fxyout	is a float array for the output interpolated fxy data points, which is calculated

Returns:

void

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void operaFitSpline	(	unsigned	nin,
		float *	xin,
		float *	yin,
		unsigned	nout,
		float *	xout,
		float *	yout
	)

This function performs interpolation of an input array using a sufficiently smooth piecewise-polynomial function (cubic spline)

void operaFitSpline(unsigned nin, float *xin,float *yin, unsigned nout, float *xout, float *yout)

Parameters:

nin	is an unsigned for the number of input data points
xin	is a float array for the input x data points
yin	is a float array for the input y data points
nout	is an unsigned for the number of output data points
xout	is a float array for the output x data points, which should be provided.
yout	is a float array for the output interpolated y data points, which is calculated

Returns:

void

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void operaLMFit2DGaussian	(	unsigned	m_dat,
		double *	x,
		double *	y,
		double *	fxy,
		double *	a,
		double *	x0,
		double *	y0,
		double *	sigx,
		double *	sigy,
		double *	chi2,
		int	verbose
	)

This function performs 2D Gaussian Fitting using the Levenberg-Marquardt method.

void operaLMFit2DGaussian(unsigned m_dat, double *x, double *y, double *fxy, double *a, double *x0, double *y0, double *sigx, double *sigy, double *chi2, int verbose)

Parameters:

m_dat	is an unsigned for the number of data points
x	is a double pointer with x data values
y	is a double pointer with y data values
a	is a double pointer for the amplitude of the Gaussian
x0	is a double pointer for the x-center of the Gaussian
y0	is a double pointer for the y-center of the Gaussian
sigx	is a double pointer for the spread of the Gaussian in the x-direction
sigy	is a double pointer for the spread of the Gaussian in the y-direction
chi2	is a double pointer that returns the reduced chi-square of the fit
verbose	is an int that controls print option: 1=on, 0=off

Returns:

void

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void operaLMFit2DPolynomial	(	unsigned	m_dat,
		double *	x,
		double *	y,
		double *	fxy,
		int	n_par,
		double	par[],
		double *	chi2,
		int	verbose
	)

void operaLMFitGaussian	(	unsigned	m_dat,
		double *	x,
		double *	y,
		double *	a,
		double *	x0,
		double *	sig,
		double *	chi2,
		int	verbose
	)

This function performs Gaussian Fitting using the Levenberg-Marquardt method.

void operaLMFitGaussian(unsigned m_dat, double *x, double *y, double *a, double *x0, double *sig, double *chi2, int verbose)

Parameters:

m_dat	is an unsigned for the number of data points
x	is a double pointer with x data values
y	is a double pointer with y data values
a	is a double pointer for the amplitude of the Gaussian
x0	is a double pointer for the center of the Gaussian
sig	is a double pointer for the spread of the Gaussian
chi2	is a double pointer that returns the reduced chi-square of the fit
verbose	is an int that controls print option: 1=on, 0=off

Returns:

void

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void operaLMFitPolynomial	(	unsigned	m_dat,
		double *	x,
		double *	y,
		int	n_par,
		double	par[],
		double *	chi2,
		int	verbose
	)

void operaMedfit	(	float	xin[],
		float	yin[],
		int	ndata,
		float *	a,
		float *	b,
		float *	abdev
	)

This function performs robust linear fit: f(x) = a + b*x.

void operaMedfit(float xin[], float yin[], int ndata, float *a, float *b, float *abdev)

Parameters:

xin	is a float array with data values
yin	is a float array with data values
ndata	is an int for the number of data points
a	is a double pointer for the linear coefficient
b	is a double pointer for the angular coefficient
abdev	is a double pointer for the absolute deviation (~chi-square)

Returns:

void

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float rofunc

(

float

b

)

This function ...

float rofunc(float b)

Parameters:

b	is a double that ..,

Returns:

float

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float select_nr	(	unsigned long	k,
		unsigned long	n,
		float	arr[]
	)

This function ...

float select_nr(unsigned long k, unsigned long n, float arr[])

Parameters:

k	is an unsigned long that ..,
n	is an unsigned long that ..,
arr	is a double pointer that ..,

Returns:

float

void splie2	(	float	x1a[],
		float	x2a[],
		float **	ya,
		int	m,
		int	n,
		float **	y2a
	)

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void splin2	(	float	x1a[],
		float	x2a[],
		float **	ya,
		float **	y2a,
		int	m,
		int	n,
		float	x1,
		float	x2,
		float *	y
	)

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void spline	(	float	x[],
		float	y[],
		int	n,
		float	yp1,
		float	ypn,
		float	y2[]
	)

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void splint	(	float	xa[],
		float	ya[],
		float	y2a[],
		int	n,
		float	x,
		float *	y
	)

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float* vector	(	long	nl,
		long	nh
	)

This function allocates a float vector with subscript range v[nl..nh].

float *vector(long nl, long nh)

Parameters:

nl	is a long that ..,
nh	is a long that ..,

Returns:

float