A one dimensional Gaussian class. More...

#include <Gaussian1D.h>

Inheritance diagram for casacore::Gaussian1D< T >:

Public Member Functions
	Gaussian1D ()
	Constructs the one dimensional Gaussians. More...

	Gaussian1D (const T &height)

	Gaussian1D (const T &height, const T &center)

	Gaussian1D (const T &height, const T &center, const T &width)

	Gaussian1D (const Gaussian1D< T > &other)
	Copy constructor (deep copy) More...

template<class W >
	Gaussian1D (const Gaussian1D< W > &other)

Gaussian1D< T > &	operator= (const Gaussian1D< T > &other)
	Copy assignment (deep copy) More...

virtual	~Gaussian1D ()
	Destructor. More...

virtual T	eval (typename Function1D< T >::FunctionArg x) const
	Evaluate the Gaussian at `x`. More...

virtual Function< T > *	clone () const
	Return a copy of this object from the heap. More...

virtual Function< typename FunctionTraits< T >::DiffType > *	cloneAD () const

virtual Function< typename FunctionTraits< T >::BaseType > *	cloneNonAD () const

Public Member Functions inherited from casacore::Gaussian1DParam< T >
	Gaussian1DParam ()
	Constructs the one dimensional Gaussians. More...

	Gaussian1DParam (const T &height)

	Gaussian1DParam (const T &height, const T &center)

	Gaussian1DParam (const T &height, const T &center, const T &width)

	Gaussian1DParam (const Gaussian1DParam< T > &other)
	Copy constructor (deep copy) More...

template<class W >
	Gaussian1DParam (const Gaussian1DParam< W > &other)

Gaussian1DParam< T > &	operator= (const Gaussian1DParam< T > &other)
	Copy assignment (deep copy) More...

virtual	~Gaussian1DParam ()
	Destructor. More...

virtual const String &	name () const
	Give name of function. More...

T	height () const
	Get or set the peak height of the Gaussian. More...

void	setHeight (const T &height)

T	flux () const
	Get or set the analytical integrated area underneath the Gaussian. More...

void	setFlux (const T &flux)

T	center () const
	Get or set the center ordinate of the Gaussian. More...

void	setCenter (const T &cnter)

T	width () const
	Get or set the FWHM of the Gaussian. More...

void	setWidth (const T &width)

Public Member Functions inherited from casacore::Function1D< T >
	Function1D ()
	Constructors. More...

	Function1D (const uInt n)

	Function1D (const Vector< T > &in)

	Function1D (const FunctionParam< T > &other)

	Function1D (const Function1D< T, T > &other)

	Function1D (const Function1D< W, X > &other)

virtual	~Function1D ()
	Destructor. More...

virtual uInt	ndim () const
	Returns the number of dimensions of function. More...

Public Member Functions inherited from casacore::Function< T, U >
	Function ()
	Constructors. More...

	Function (const uInt n)

	Function (const Vector< T > &in)

	Function (const FunctionParam< T > &other)

template<class W , class X >
	Function (const Function< W, X > &other)

	Function (const Function< T, U > &other)

virtual	~Function ()
	Destructor. More...

uInt	nparameters () const
	Returns the number of parameters. More...

virtual U	eval (FunctionArg x) const =0
	Evaluate the function object. More...

T &	operator[] (const uInt n)
	Manipulate the nth parameter (0-based) with no index check. More...

const T &	operator[] (const uInt n) const

virtual U	operator() () const
	Evaluate this function object at `x`or at `x, y`. More...

virtual U	operator() (const ArgType &x) const

virtual U	operator() (const Vector< ArgType > &x) const

virtual U	operator() (FunctionArg x) const

virtual U	operator() (const ArgType &x, const ArgType &y) const

virtual U	operator() (const ArgType &x, const ArgType &y, const ArgType &z) const

Bool &	mask (const uInt n)
	Manipulate the mask associated with the nth parameter (e.g. More...

const Bool &	mask (const uInt n) const

const FunctionParam< T > &	parameters () const
	Return the parameter interface. More...

FunctionParam< T > &	parameters ()

const Vector< ArgType > &	argp () const
	Get `arg_p` and `parset_p`. More...

Bool	parsetp () const

void	lockParam ()
	Compiler cannot always find the correct 'const' version of parameter access. More...

void	unlockParam ()

virtual void	setMode (const RecordInterface &mode)
	get/set the function mode. More...

virtual void	getMode (RecordInterface &mode) const

virtual Bool	hasMode () const
	return True if the implementing function supports a mode. More...

ostream &	print (ostream &os) const
	Print the function (i.e. More...

Public Member Functions inherited from casacore::Functional< FunctionTraits< T >::ArgType, U >
virtual	~Functional ()
	Destructor. More...

virtual U	operator() (const FunctionTraits< T >::ArgType &x) const =0
	Map a Domain `x` into a Range `y` value. More...

Public Member Functions inherited from casacore::Functional< Vector< FunctionTraits< T >::ArgType >, U >
virtual	~Functional ()
	Destructor. More...

virtual U	operator() (const Vector< FunctionTraits< T >::ArgType > &x) const =0
	Map a Domain `x` into a Range `y` value. More...

Additional Inherited Members
Public Types inherited from casacore::Gaussian1DParam< T >
enum	{ HEIGHT, CENTER, WIDTH }

Public Types inherited from casacore::Function1D< T >
typedef const T *	FunctionArg

Public Types inherited from casacore::Function< T, U >
typedef FunctionTraits< T > ::ArgType	ArgType

typedef const ArgType *	FunctionArg

Protected Attributes inherited from casacore::Gaussian1DParam< T >
T	fwhm2int
	Constant to scale halfwidth at 1/e to FWHM. More...

Protected Attributes inherited from casacore::Function< T, U >
FunctionParam< T >	param_p
	The parameters and masks. More...

Vector< ArgType >	arg_p
	Aid for non-contiguous argument storage. More...

Bool	parset_p
	Indicate parameter written. More...

Bool	locked_p
	Indicate that parameters are expected to be locked from changing. More...

Detailed Description

template<class T>
class casacore::Gaussian1D< T >

A one dimensional Gaussian class.

Intended use:

Public interface

Review Status

Reviewed By:: tcornwel
Date Reviewed:: 1996/02/22
Test programs:: tGaussian1D

Prerequisite

Etymology

A Gaussian1D functional is designed exclusively for calculating a Gaussian (or Normal) distribution in one dimension. Other classes exist for calculating these functions in two (Gaussian2D) and N (GaussianND) dimensions.

Synopsis

A Gaussian1D is described by a height, center, and width. Its fundamental operation is evaluating itself at some x. The parameters (height, center and width) may be changed at run time.

The width of the Gaussian (for the constructors or the setWidth function) is always specified in terms of the full width at half maximum (FWHM). It is always positive and attempts to set a non-positive width will throw an assertion when in debug mode.

The peak height of the Gaussian can be specified at construction time or by using the setHeight function. Alternatively the setFlux function can be used to implicitly set the peak height by specifying the integrated area under the Gaussian. The height (or flux) can be positive, negative or zero, as this class makes no assumptions on what quantity the height represents.

Tip: Changing the width of the Gaussian will not affect its peak height but will change its flux; So you should always set the width before setting the flux;

The parameter interface (see Gaussian1DParam class), is used to provide an interface to the Fitting classes.

There are 3 parameters that are used to describe the Gaussian:

The height of the Gaussian. This is identical to the value returned using the height() member function.
The center of the Gaussian in the x direction. This is identical to the value returned using the center() member function.
The width (FWHM) of the Gaussian. To aid convergence of the non-linear fitting routines this parameter is allowed to be negative. This does not affect the shape of the Gaussian as the square of the width is used when evaluating the function.

An enumeration for the HEIGHT, WIDTH and CENTER parameter index is provided, enabling the setting and reading of parameters with the [] operator. The mask() methods can be used to check and set the parameter masks.

Example

Gaussian<Double> gf(5.0, 25.0, 7);
gf(25);            // = 5.0
gf[HEIGHT](1.0);
gf.setWidth(2.0);                
gf[CENTER](0.0);
gf(1);             // = 0.5*height = 0.5

Template Type Argument Requirements (T)

T should have standard numerical operators and exp() function. Current implementation only tested for real types.
To obtain derivatives, the derivatives should be defined.

Thrown Exceptions

Assertion in debug mode if attempt is made to set a negative width
AipsError if incorrect parameter number specified.
Assertion in debug mode if operator(Vector<>) with empty Vector

To Do

Gaussians that know about their DFT's could be required eventually.

Definition at line 135 of file Gaussian1D.h.

Constructor & Destructor Documentation

template<class T>

casacore::Gaussian1D< T >::Gaussian1D ( )

inline

Constructs the one dimensional Gaussians.

Defaults: height=1, center=0, width(FWHM)=1.
Warning: Could not use default arguments that worked both with gcc and IRIX

Definition at line 145 of file Gaussian1D.h.

template<class T>

casacore::Gaussian1D< T >::Gaussian1D ( const T & height )

inlineexplicit

Definition at line 146 of file Gaussian1D.h.

template<class T>

casacore::Gaussian1D< T >::Gaussian1D	(	const T &	height,
		const T &	center
	)

inline

Definition at line 147 of file Gaussian1D.h.

template<class T>

casacore::Gaussian1D< T >::Gaussian1D	(	const T &	height,
		const T &	center,
		const T &	width
	)

inline

Definition at line 149 of file Gaussian1D.h.

template<class T>

casacore::Gaussian1D< T >::Gaussian1D ( const Gaussian1D< T > & other )

inline

Copy constructor (deep copy)

Definition at line 155 of file Gaussian1D.h.

template<class T>

template<class W >

casacore::Gaussian1D< T >::Gaussian1D ( const Gaussian1D< W > & other )

inline

Definition at line 157 of file Gaussian1D.h.

template<class T>

virtual casacore::Gaussian1D< T >::~Gaussian1D ( )

inlinevirtual

Destructor.

Definition at line 165 of file Gaussian1D.h.

Member Function Documentation

template<class T>

virtual Function<T>* casacore::Gaussian1D< T >::clone ( ) const

inlinevirtual

Return a copy of this object from the heap.

The caller is responsible for deleting this pointer.

Implements casacore::Function< T, U >.

Definition at line 177 of file Gaussian1D.h.

template<class T>

virtual Function<typename FunctionTraits<T>::DiffType>* casacore::Gaussian1D< T >::cloneAD ( ) const

inlinevirtual

Reimplemented from casacore::Function< T, U >.

Definition at line 178 of file Gaussian1D.h.

template<class T>

virtual Function<typename FunctionTraits<T>::BaseType>* casacore::Gaussian1D< T >::cloneNonAD ( ) const

inlinevirtual

Reimplemented from casacore::Function< T, U >.

Definition at line 180 of file Gaussian1D.h.

template<class T>

virtual T casacore::Gaussian1D< T >::eval ( typename Function1D< T >::FunctionArg x ) const

virtual

Evaluate the Gaussian at x.

template<class T>

Gaussian1D<T>& casacore::Gaussian1D< T >::operator= ( const Gaussian1D< T > & other )

inline

Copy assignment (deep copy)

Definition at line 161 of file Gaussian1D.h.

References casacore::Gaussian1DParam< T >::operator=().

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

casa/casacore/scimath/Functionals/Gaussian1D.h

Public Member Functions

Additional Inherited Members

Detailed Description

template<class T> class casacore::Gaussian1D< T >

Intended use:

Review Status

Prerequisite

Etymology

Synopsis

Example

Template Type Argument Requirements (T)

Thrown Exceptions

To Do

Constructor & Destructor Documentation

Member Function Documentation

template<class T>
class casacore::Gaussian1D< T >