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casacore::Polynomial< T > Class Template Reference

A one dimensional polynomial class. More...

#include <Polynomial.h>

Inheritance diagram for casacore::Polynomial< T >:
casacore::PolynomialParam< T > casacore::Function1D< T > casacore::Function< T, U > casacore::Functional< FunctionTraits< T >::ArgType, U > casacore::Functional< Vector< FunctionTraits< T >::ArgType >, U >

Public Member Functions

 Polynomial ()
 Constructs a zero'th order polynomial, with a coeficcient of 0.0. More...
 
 Polynomial (uInt order)
 Makes a polynomial of the given order, with all coeficcients set to zero. More...
 
 Polynomial (const Polynomial< T > &other)
 Copy constructor/assignment (deep copy) More...
 
template<class W >
 Polynomial (const Polynomial< W > &other)
 
Polynomial< T > & operator= (const Polynomial< T > &other)
 
virtual ~Polynomial ()
 Destructor. More...
 
virtual T eval (typename Function1D< T >::FunctionArg x) const
 Evaluate the polynomial at x. More...
 
Polynomial< T > derivative () const
 Return the polynomial which is the derivative of this one. 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::PolynomialParam< T >
 PolynomialParam ()
 Constructs a zero'th order polynomial, with a coeficcient of 0.0. More...
 
 PolynomialParam (uInt order)
 Makes a polynomial of the given order, with all coeficcients set to zero. More...
 
 PolynomialParam (const PolynomialParam< T > &other)
 Make this a copy of other (deep copy). More...
 
template<class W >
 PolynomialParam (const PolynomialParam< W > &other)
 
PolynomialParam< T > & operator= (const PolynomialParam< T > &other)
 
 ~PolynomialParam ()
 Destructor. More...
 
Bool operator== (const PolynomialParam< T > &other) const
 Comparisons. More...
 
Bool operator!= (const PolynomialParam< T > &other) const
 
virtual const Stringname () const
 Give name of function. More...
 
uInt order () const
 What is the order of the polynomial, i.e. More...
 
coefficient (uInt which) const
 What is the which'th coefficient of the polynomial. More...
 
const Vector< T > & coefficients () const
 Return all the coefficients as a vector. More...
 
void setCoefficient (uInt which, const T value)
 Set the which'th coefficient to value. More...
 
void setCoefficients (const Vector< T > &coefficients)
 Set all the coefficients at once, throw away all existing coefficients. More...
 
- 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 xor 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
 
Boolmask (const uInt n)
 Manipulate the mask associated with the nth parameter (e.g. More...
 
const Boolmask (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::Function1D< T >
typedef const T * FunctionArg
 
- Public Types inherited from casacore::Function< T, U >
typedef FunctionTraits< T >
::ArgType 
ArgType
 
typedef const ArgTypeFunctionArg
 
- Protected Attributes inherited from casacore::Function< T, U >
FunctionParam< T > param_p
 The parameters and masks. More...
 
Vector< ArgTypearg_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::Polynomial< T >

A one dimensional polynomial class.

Review Status

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

Prerequisite

Synopsis

A Polynomial<T> contains a set of coefficients; its fundamental operations is evaluating itself at some "x". The number of coefficients is the order of the polynomial plus one, so is the number of available parameters.


Tip: The present implementation merely stores the coefficients in a Block; In the unlikely case that we need to deal with polynomials with many zero coefficients, a more efficient representation would be possible;

Example

Polynomial<Float> pf(3); // Third order polynomial - coeffs 0 by default
pf.setCoefficient(1, 1.0);
pf[2] = 2.0;
pf.setCoefficient(3, 3.0); // 3x^3 + 2x^2 + x
pf(2); // == 34

Template Type Argument Requirements (T)

Thrown Exceptions

To Do

Definition at line 90 of file Polynomial.h.

Constructor & Destructor Documentation

template<class T>
casacore::Polynomial< T >::Polynomial ( )
inline

Constructs a zero'th order polynomial, with a coeficcient of 0.0.

Definition at line 96 of file Polynomial.h.

template<class T>
casacore::Polynomial< T >::Polynomial ( uInt  order)
inlineexplicit

Makes a polynomial of the given order, with all coeficcients set to zero.

Definition at line 99 of file Polynomial.h.

template<class T>
casacore::Polynomial< T >::Polynomial ( const Polynomial< T > &  other)
inline

Copy constructor/assignment (deep copy)

Definition at line 102 of file Polynomial.h.

template<class T>
template<class W >
casacore::Polynomial< T >::Polynomial ( const Polynomial< W > &  other)
inline

Definition at line 104 of file Polynomial.h.

template<class T>
virtual casacore::Polynomial< T >::~Polynomial ( )
inlinevirtual

Destructor.

Definition at line 110 of file Polynomial.h.

Member Function Documentation

template<class T>
virtual Function<T>* casacore::Polynomial< 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, U >.

Definition at line 124 of file Polynomial.h.

template<class T>
virtual Function<typename FunctionTraits<T>::DiffType>* casacore::Polynomial< T >::cloneAD ( ) const
inlinevirtual

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

Definition at line 125 of file Polynomial.h.

template<class T>
virtual Function<typename FunctionTraits<T>::BaseType>* casacore::Polynomial< T >::cloneNonAD ( ) const
inlinevirtual

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

Definition at line 127 of file Polynomial.h.

template<class T>
Polynomial<T> casacore::Polynomial< T >::derivative ( ) const

Return the polynomial which is the derivative of this one.

e.g., 2+4x+5x^2 –> 0+4+10x .

template<class T>
virtual T casacore::Polynomial< T >::eval ( typename Function1D< T >::FunctionArg  x) const
virtual

Evaluate the polynomial at x.

template<class T>
Polynomial<T>& casacore::Polynomial< T >::operator= ( const Polynomial< T > &  other)
inline

Definition at line 105 of file Polynomial.h.


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