Simple fitter abstract interface. More...

#include "SimpleFits.h"

Public Types
using	Data_t = T
	type of the data More...

using	MatrixOps = FastMatrixOperations< Data_t, NParams >

using	FitParameters_t = std::array< Data_t, NParams >
	type of set of fit parameters More...

using	FitMatrix_t = typename MatrixOps::Matrix_t
	type of matrix for covariance (a std::array) More...

Public Member Functions
virtual	~SimpleFitterInterface ()=default
	Virtual destructor: compiler's default. More...

virtual bool	isValid () const =0
	Returns if the fit has valid results. More...

virtual bool	FillResults (FitParameters_t &params, FitMatrix_t &Xmat, Data_t &det, FitMatrix_t &Smat) const =0
	Fills the specified parameters. More...

virtual bool	FillResults (FitParameters_t &params, FitParameters_t &paramerrors, FitMatrix_t &Xmat, Data_t &det, FitMatrix_t &Smat) const =0
	Fills the specified parameters. More...

virtual bool	FillResults (FitParameters_t &params, FitParameters_t &paramerrors) const =0
	Fills the specified parameters. More...

virtual Data_t	Evaluate (Data_t x) const =0
	Evaluates the fitted function at the specified point. More...

Data_t	operator() (Data_t x) const
	Evaluates the fitted function; alias of Evaluate() More...

Fitting
virtual FitParameters_t	FitParameters () const =0
	Computes and returns all the parameters of the fit result. More...

virtual FitParameters_t	FitParameterErrors () const =0
	Computes and returns all the parameter errors of the fit result. More...

virtual FitMatrix_t	FitParameterCovariance () const =0
	Computes and returns all the covariance matrix of the fit result. More...

virtual Data_t	FitParameter (unsigned int n) const
	Returns the parameter n of the fit result. More...

virtual Data_t	FitParameterError (unsigned int n) const
	Returns the error on parameter n of the fit result. More...

virtual Data_t	ChiSquare () const =0
	Returns the $\chi^{2}$ of the fit. More...

virtual int	NDF () const =0
	Returns the degrees of freedom in the determination of the fit. More...

Static Public Member Functions
static constexpr Data_t	sqr (Data_t v)
	Returns the square of the specified data value. More...

static constexpr Data_t	cube (Data_t v)
	Returns the cube of the specified data value. More...

Static Public Attributes
static constexpr unsigned int	NParams = N
	Number of parameters in the fit. More...

Protected Member Functions
virtual Data_t	Determinant (FitMatrix_t const &mat) const
	Computes the determinant of a matrix. More...

virtual FitMatrix_t	InvertMatrix (FitMatrix_t const &mat, Data_t det) const
	Computes the inverse of a matrix (using provided determinant) More...

virtual FitMatrix_t	InvertMatrix (FitMatrix_t const &mat) const
	Computes the inverse of a matrix. More...

virtual FitParameters_t	MatrixProduct (FitMatrix_t const &mat, FitParameters_t const &vec) const
	Computes the product of a FitMatrix_t and a FitParameters_t. More...

Detailed Description

template<typename T, unsigned int N>
class lar::util::details::SimpleFitterInterface< T, N >

Simple fitter abstract interface.

Definition at line 458 of file SimpleFits.h.

Member Typedef Documentation

template<typename T, unsigned int N>

using lar::util::details::SimpleFitterInterface< T, N >::Data_t = T

type of the data

Definition at line 463 of file SimpleFits.h.

template<typename T, unsigned int N>

using lar::util::details::SimpleFitterInterface< T, N >::FitMatrix_t = typename MatrixOps::Matrix_t

type of matrix for covariance (a std::array)

Definition at line 471 of file SimpleFits.h.

template<typename T, unsigned int N>

using lar::util::details::SimpleFitterInterface< T, N >::FitParameters_t = std::array<Data_t, NParams>

type of set of fit parameters

Definition at line 468 of file SimpleFits.h.

template<typename T, unsigned int N>

using lar::util::details::SimpleFitterInterface< T, N >::MatrixOps = FastMatrixOperations<Data_t, NParams>

Definition at line 465 of file SimpleFits.h.

Constructor & Destructor Documentation

template<typename T, unsigned int N>

virtual lar::util::details::SimpleFitterInterface< T, N >::~SimpleFitterInterface ( )

virtualdefault

Virtual destructor: compiler's default.

Member Function Documentation

template<typename T, unsigned int N>

virtual Data_t lar::util::details::SimpleFitterInterface< T, N >::ChiSquare ( ) const

pure virtual

Returns the $\chi^{2}$ of the fit.

Returns: the $\chi^{2}$ of the fit (not divided by NDF())

Implemented in lar::util::GaussianFit< T >, lar::util::QuadraticFit< T >, lar::util::LinearFit< T >, lar::util::details::SimplePolyFitterBase< T, D >, lar::util::details::SimplePolyFitterBase< T, 1U >, and lar::util::details::SimplePolyFitterBase< T, 2U >.

template<typename T, unsigned int N>

static constexpr Data_t lar::util::details::SimpleFitterInterface< T, N >::cube ( Data_t v )

inlinestatic

Returns the cube of the specified data value.

Definition at line 603 of file SimpleFits.h.

603 { return v * v * v; }

template<typename T, unsigned int N>

virtual Data_t lar::util::details::SimpleFitterInterface< T, N >::Determinant ( FitMatrix_t const & mat ) const

inlineprotectedvirtual

Computes the determinant of a matrix.

Definition at line 607 of file SimpleFits.h.

         {
           return MatrixOps::Determinant(mat);
         }

template<typename T, unsigned int N>

virtual Data_t lar::util::details::SimpleFitterInterface< T, N >::Evaluate ( Data_t x ) const

pure virtual

Evaluates the fitted function at the specified point.

Parameters

x	the point where to evaluate the fit function

Returns: the value of the fit function

No check is performed whether the fit is valid.

template<typename T, unsigned int N>

virtual bool lar::util::details::SimpleFitterInterface< T, N >::FillResults	(	FitParameters_t &	params,
		FitMatrix_t &	Xmat,
		Data_t &	det,
		FitMatrix_t &	Smat
	)		const

pure virtual

Fills the specified parameters.

Parameters

params	the fitted values of the parameters
Xmat	the matrix of the x^n/s^2 sums
Smat	the covariance matrix
det	the determinant of Xmat

Returns: true if the fit is valid (i.e. if a unique solution exists)

template<typename T, unsigned int N>

virtual bool lar::util::details::SimpleFitterInterface< T, N >::FillResults	(	FitParameters_t &	params,
		FitParameters_t &	paramerrors,
		FitMatrix_t &	Xmat,
		Data_t &	det,
		FitMatrix_t &	Smat
	)		const

pure virtual

Fills the specified parameters.

Parameters

params	the fitted values of the parameters
paramerrors	the uncertainty on the fitted parameters
Xmat	the matrix of the x^n/s^2 sums
Smat	the covariance matrix
det	the determinant of Xmat

Returns: true if the fit is valid (i.e. if a unique solution exists)

template<typename T, unsigned int N>

virtual bool lar::util::details::SimpleFitterInterface< T, N >::FillResults	(	FitParameters_t &	params,
		FitParameters_t &	paramerrors
	)		const

pure virtual

Fills the specified parameters.

Parameters

params	the fitted values of the parameters
paramerrors	the uncertainty on the fitted parameters

Returns: true if the fit is valid (i.e. if a unique solution exists)

Implemented in lar::util::details::SimplePolyFitterBase< T, 1U >, and lar::util::details::SimplePolyFitterBase< T, 2U >.

template<typename T, unsigned int N>

virtual Data_t lar::util::details::SimpleFitterInterface< T, N >::FitParameter ( unsigned int n ) const

inlinevirtual

Returns the parameter n of the fit result.

Parameters

n	degree of the parameter; must be no larger than Degree

Returns: the parameter of the fit, in y/x^n units

Exceptions

std::runtime_error if there is no unique solution

Reimplemented in lar::util::details::SimplePolyFitterBase< T, D >, lar::util::details::SimplePolyFitterBase< T, 1U >, and lar::util::details::SimplePolyFitterBase< T, 2U >.

Definition at line 521 of file SimpleFits.h.

521 { return FitParameters()[n]; }

lar::util::details::SimpleFitterInterface::FitParameters

virtual FitParameters_t FitParameters() const =0

Computes and returns all the parameters of the fit result.

n

Char_t n[5]

Definition: comparison_ascii.C:55

template<typename T, unsigned int N>

virtual FitMatrix_t lar::util::details::SimpleFitterInterface< T, N >::FitParameterCovariance ( ) const

pure virtual

Computes and returns all the covariance matrix of the fit result.

Returns: the the covariance matrix of the fit

Exceptions

std::runtime_error if there is no unique solution

The matrix is symmetric, and stored in a linear way (say, first row, then second row).

Implemented in lar::util::GaussianFit< T >, lar::util::details::SimplePolyFitterBase< T, D >, lar::util::details::SimplePolyFitterBase< T, 1U >, and lar::util::details::SimplePolyFitterBase< T, 2U >.

template<typename T, unsigned int N>

virtual Data_t lar::util::details::SimpleFitterInterface< T, N >::FitParameterError ( unsigned int n ) const

inlinevirtual

Returns the error on parameter n of the fit result.

Parameters

n	degree of the parameter; must be no larger than Degree

Returns: the error on the parameter of the fit, in y/x^n units

Exceptions

std::runtime_error if there is no unique solution

Reimplemented in lar::util::details::SimplePolyFitterBase< T, D >, lar::util::details::SimplePolyFitterBase< T, 1U >, and lar::util::details::SimplePolyFitterBase< T, 2U >.

Definition at line 529 of file SimpleFits.h.

         {
           return std::sqrt(FitParameterCovariance()[n * (NParams + 1)]);
         }

template<typename T, unsigned int N>

virtual FitParameters_t lar::util::details::SimpleFitterInterface< T, N >::FitParameterErrors ( ) const

pure virtual

Computes and returns all the parameter errors of the fit result.

Returns: the full set of parameter errors of the fit

Exceptions

std::runtime_error if there is no unique solution

Implemented in lar::util::GaussianFit< T >, lar::util::details::SimplePolyFitterBase< T, D >, lar::util::details::SimplePolyFitterBase< T, 1U >, and lar::util::details::SimplePolyFitterBase< T, 2U >.

template<typename T, unsigned int N>

virtual FitParameters_t lar::util::details::SimpleFitterInterface< T, N >::FitParameters ( ) const

pure virtual

Computes and returns all the parameters of the fit result.

Returns: the full set of parameters of the fit

Exceptions

std::runtime_error if there is no unique solution

Implemented in lar::util::GaussianFit< T >, lar::util::details::SimplePolyFitterBase< T, D >, lar::util::details::SimplePolyFitterBase< T, 1U >, and lar::util::details::SimplePolyFitterBase< T, 2U >.

template<typename T, unsigned int N>

virtual FitMatrix_t lar::util::details::SimpleFitterInterface< T, N >::InvertMatrix	(	FitMatrix_t const &	mat,
		Data_t	det
	)		const

inlineprotectedvirtual

Computes the inverse of a matrix (using provided determinant)

Definition at line 613 of file SimpleFits.h.

         {
           return MatrixOps::InvertSymmetricMatrix(mat, det);
         }

template<typename T, unsigned int N>

virtual FitMatrix_t lar::util::details::SimpleFitterInterface< T, N >::InvertMatrix ( FitMatrix_t const & mat ) const

inlineprotectedvirtual

Computes the inverse of a matrix.

Definition at line 619 of file SimpleFits.h.

         {
           return MatrixOps::InvertSymmetricMatrix(mat);
         }

template<typename T, unsigned int N>

virtual bool lar::util::details::SimpleFitterInterface< T, N >::isValid ( ) const

pure virtual

Returns if the fit has valid results.

Returns: if the fit has valid results

The fit has no valid results if:

insufficient data has been add()ed (no more than the fit Degree)
if input points are vertically aligned

Note that checking point 2 is expensive in terms of time.

Implemented in lar::util::GaussianFit< T >, lar::util::details::SimplePolyFitterBase< T, D >, lar::util::details::SimplePolyFitterBase< T, 1U >, and lar::util::details::SimplePolyFitterBase< T, 2U >.

template<typename T, unsigned int N>

virtual FitParameters_t lar::util::details::SimpleFitterInterface< T, N >::MatrixProduct	(	FitMatrix_t const &	mat,
		FitParameters_t const &	vec
	)		const

inlineprotectedvirtual

Computes the product of a FitMatrix_t and a FitParameters_t.

Definition at line 625 of file SimpleFits.h.

         {
           return MatrixOps::MatrixVectorProduct(mat, vec);
         }

template<typename T, unsigned int N>

virtual int lar::util::details::SimpleFitterInterface< T, N >::NDF ( ) const

pure virtual

Returns the degrees of freedom in the determination of the fit.

Returns: the degrees of freedom in the determination of the fit

The return value may be 0 or negative if insufficient points have been added.

Implemented in lar::util::GaussianFit< T >, lar::util::details::SimplePolyFitterBase< T, D >, lar::util::details::SimplePolyFitterBase< T, 1U >, and lar::util::details::SimplePolyFitterBase< T, 2U >.

template<typename T, unsigned int N>

Data_t lar::util::details::SimpleFitterInterface< T, N >::operator() ( Data_t x ) const

inline

Evaluates the fitted function; alias of Evaluate()

Definition at line 597 of file SimpleFits.h.

597 { return Evaluate(x); }

x

Float_t x

Definition: compare.C:6

lar::util::details::SimpleFitterInterface::Evaluate

virtual Data_t Evaluate(Data_t x) const =0

Evaluates the fitted function at the specified point.

template<typename T, unsigned int N>

static constexpr Data_t lar::util::details::SimpleFitterInterface< T, N >::sqr ( Data_t v )

inlinestatic

Returns the square of the specified data value.

Definition at line 600 of file SimpleFits.h.

600 { return v * v; }

Member Data Documentation

template<typename T, unsigned int N>

constexpr unsigned int lar::util::details::SimpleFitterInterface< T, N >::NParams = N

static

Number of parameters in the fit.

Definition at line 461 of file SimpleFits.h.

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

lardata/v09_16_03/source/lardata/Utilities/SimpleFits.h

Public Types

Public Member Functions

Static Public Member Functions

Static Public Attributes

Protected Member Functions

Detailed Description

template<typename T, unsigned int N> class lar::util::details::SimpleFitterInterface< T, N >

Member Typedef Documentation

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation

template<typename T, unsigned int N>
class lar::util::details::SimpleFitterInterface< T, N >