Sum of a collection of Functions which behaves as one Function object. More...

#include <CompoundFunction.h>

Inheritance diagram for casacore::CompoundFunction< T >:

Public Member Functions
	CompoundFunction ()
	The default constructor – no functions, no parameters, nothing, the function operator returns a 0. More...

	CompoundFunction (const CompoundFunction< T > &other)
	Make this object a (deep) copy of other. More...

	CompoundFunction (const CompoundFunction< T > &other, Bool)

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

template<class W >
	CompoundFunction (const CompoundFunction< W > &other, Bool)

CompoundFunction< T > &	operator= (const CompoundFunction< T > &other)
	Make this object a (deep) copy of other. More...

virtual	~CompoundFunction ()
	Destructor. More...

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

CompoundFunction< T > &	consolidate ()
	Consolidate the parameter settings. 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::CompoundParam< T >
	CompoundParam ()
	The default constructor – no functions, no parameters, nothing, the function operator returns a 0. More...

	CompoundParam (const CompoundParam< T > &other)
	Make this object a (deep) copy of other. More...

	CompoundParam (const CompoundParam< T > &other, Bool)

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

template<class W >
	CompoundParam (const CompoundParam< W > &other, Bool)

CompoundParam< T > &	operator= (const CompoundParam< T > &other)

virtual	~CompoundParam ()

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

uInt	addFunction (const Function< T > &newFunction)
	Add a function to the sum. More...

uInt	nFunctions () const
	Return the number of functions in the sum. More...

const Function< T > &	function (uInt which) const
	Return a reference to a specific Function. More...

uInt	parameterOffset (uInt which) const
	Get the offset in function parameterlist for function which. More...

uInt	parameterFunction (uInt which) const
	Get the function number belonging to parameter list element which. More...

uInt	parameterLocation (uInt which) const
	Return locpar. More...

virtual uInt	ndim () const
	Returns the dimension of functions in the linear combination. More...

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

	Function (const uInt n)

	Function (const Vector< T > &in)

	Function (const FunctionParam< T > &other)

	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...

Private Member Functions
void	fromParam_p () const
	Copy the local parameters from general block. More...

void	toParam_p ()
	Make the general block from local parameters. More...

Additional Inherited Members
Public Types inherited from casacore::Function< T >
typedef FunctionTraits< T > ::ArgType	ArgType

typedef const ArgType *	FunctionArg

Protected Attributes inherited from casacore::CompoundParam< T >
PtrBlock< Function< T > * >	functionPtr_p
	Pointer to each added function. More...

Block< uInt >	paroff_p
	Index of offset for each function to its parameters in general list. More...

Block< uInt >	funpar_p
	Index of function belonging to parameter. More...

Block< uInt >	locpar_p
	Index of local parameter. More...

Protected Attributes inherited from casacore::Function< T >
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::CompoundFunction< T >

Sum of a collection of Functions which behaves as one Function object.

Intended use:

Public interface

Review Status

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

Prerequisite

Function class

Synopsis

This class takes an arbitrary number of Function objects, and generates a new, single function object. The parameters of the compound object are the union of all the parameters in the input objects.

When CompoundFunction is evaluated, the result is the sum of all the individual function values.

Member functions are added with the addFunction() method.

In general the interaction with the function parameters should be through the overall function parameters (i.e. through the parameters of the CompoundFunction). If for any reason you want to set the parameters of an individual function (see e.g. the example in the Fit2D), call consolidate() before abd after the actual setting.

Tip: Check CombiFunction class for a simple linear combination of function objects

Example

Suppose for some reason we wanted the sum of x^2 plus a gaussian. We could form it as follows:

Polynomial<Float> x2(2);
x[2] = 1.0;                                     // x^2
Gaussian1D<Float> gauss(1.0, 0.0, 1.0);          // e^{-x^2}
CompoundParam<Float> sum;                        // sum == 0.0
sum.addFunction(x2);                               // sum == x^2
sum.addFunction(gauss);                            // sum == x^2+e^{-x^2}
sum(2.0);                                          // == 4 + e^-4
CompoundParam[0] = 2.0;                          // sum ==2x^2+e^{-x^2}
sum(2.0);                                          // == 8 + e^-4

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

AipsError if dimensions of functions added different

Motivation

This class was created to allow a non-linear least squares fitter to fit a (potentially) arbitrary number of functions (typically Gaussians).

To Do

Nothing I know of

Definition at line 114 of file CompoundFunction.h.

Constructor & Destructor Documentation

template<class T>

casacore::CompoundFunction< T >::CompoundFunction ( )

inline

The default constructor – no functions, no parameters, nothing, the function operator returns a 0.

Definition at line 120 of file CompoundFunction.h.

template<class T>

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

inline

Make this object a (deep) copy of other.

If parameters have been set without an intervening calculation, a consolidate() could be necessary on other first.

Definition at line 125 of file CompoundFunction.h.

template<class T>

casacore::CompoundFunction< T >::CompoundFunction	(	const CompoundFunction< T > &	other,
		Bool
	)

inline

Definition at line 127 of file CompoundFunction.h.

template<class T>

template<class W >

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

inline

Definition at line 130 of file CompoundFunction.h.

template<class T>

template<class W >

casacore::CompoundFunction< T >::CompoundFunction	(	const CompoundFunction< W > &	other,
		Bool
	)

inline

Definition at line 133 of file CompoundFunction.h.

template<class T>

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

inlinevirtual

Destructor.

Definition at line 142 of file CompoundFunction.h.

Member Function Documentation

template<class T>

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

inlinevirtual

Return a copy of this object from the heap.

The caller is responsible for deleting the pointer.

Implements casacore::Function< T >.

Definition at line 158 of file CompoundFunction.h.

template<class T>

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

inlinevirtual

Reimplemented from casacore::Function< T >.

Definition at line 160 of file CompoundFunction.h.

template<class T>

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

inlinevirtual

Reimplemented from casacore::Function< T >.

Definition at line 162 of file CompoundFunction.h.

template<class T>

CompoundFunction<T>& casacore::CompoundFunction< T >::consolidate ( )

inline

Consolidate the parameter settings.

This could be necessary if parameters have been set, and a copy constructor called. This is necessary before and after the setting of local parameters; i.e. the parameters of the individual functions.

Definition at line 153 of file CompoundFunction.h.

template<class T>

virtual T casacore::CompoundFunction< T >::eval ( typename Function< T >::FunctionArg x ) const

virtual

Evaluate the function at x.

template<class T>

void casacore::CompoundFunction< T >::fromParam_p ( ) const

private

Copy the local parameters from general block.

Referenced by casacore::CompoundFunction< casacore::AutoDiff< Double > >::clone(), casacore::CompoundFunction< casacore::AutoDiff< Double > >::consolidate(), and casacore::CompoundFunction< casacore::AutoDiff< Double > >::operator=().

template<class T>

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

inline

Make this object a (deep) copy of other.

Definition at line 137 of file CompoundFunction.h.

template<class T>

void casacore::CompoundFunction< T >::toParam_p ( )

private

Make the general block from local parameters.

Referenced by casacore::CompoundFunction< casacore::AutoDiff< Double > >::consolidate().

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

casa/casacore/scimath/Functionals/CompoundFunction.h

Public Member Functions

Private Member Functions

Additional Inherited Members

Detailed Description

template<class T> class casacore::CompoundFunction< T >

Intended use:

Review Status

Prerequisite

Synopsis

Example

Template Type Argument Requirements (T)

Thrown Exceptions

Motivation

To Do

Constructor & Destructor Documentation

Member Function Documentation

template<class T>
class casacore::CompoundFunction< T >