Nth degree Polynomial with two variables. More...

#include <PolynomialBivariate.h>

Inheritance diagram for Isis::PolynomialBivariate:

Collaboration diagram for Isis::PolynomialBivariate:

Public Member Functions
	PolynomialBivariate (int degree)
	Create a PolynomialBivariate object.

	~PolynomialBivariate ()
	Destroys the PolynomialBivariate object.

void	Expand (const std::vector< double > &vars)
	This is the the overriding virtual function that provides the expansion of the two input variables into the polynomial equation.

void	SetCoefficients (const std::vector< double > &coefs)
	Set the coefficients for the equation.

double	Evaluate (const std::vector< double > &vars)
	Compute the equation using the input variables.

double	Evaluate (const double &var)
	Compute the equation using the input variable.

int	Coefficients () const
	Returns the number of coefficients for the equation.

int	Variables () const
	Returns the number of variables in the equation.

QString	Name () const
	Returns the name of the equation.

double	Term (int c) const
	Returns the cth term.

double	Coefficient (int i) const
	Returns the ith coefficient.

Protected Attributes
QString	p_name
	The name of the equation. Call it by using Name()

int	p_numVars
	The number of variables in the equation. Call it by using Variables()

int	p_numCoefs
	The number of coefficients in the equation.

std::vector< double >	p_coefs
	A vector of the coefficients in the equation.

std::vector< double >	p_terms
	A vector of the terms in the equation.

Private Attributes
int	p_degree
	The order/degree of the polynomial.

Detailed Description

Nth degree Polynomial with two variables.

This is a derived class from BasisFunction which provides the capabilities of a polynomial equation in two variables with degree n, where n is specified during the object construction. For example, Degree = 1 z = a + b*x + c*y Degree = 2 z = a + b*x + c*y + d*x**2 + e*x*y + f*y**2 Degree = 3 z = a + b*x + c*y + d*x**2 + e*x*y + f*y**2 + g*x**3 + h*x**2*y

i*x*y**2 + j*y**3 In general the number of coefficients will be ((degree+1)*(degree+2))/2.

Author: 2004-06-24 Jeff Anderson

History: 2005-03-11 Elizabeth Ribelin - Modified file to support Doxygen documentation

Todo: 2005-03-11 Jeff Anderson - add coded and implementation examples to class documentation

History: 2008-02-05 Jeannie Walldren, Renamed from Poly2D.

Definition at line 37 of file PolynomialBivariate.h.

Constructor & Destructor Documentation

◆ PolynomialBivariate()

Isis::PolynomialBivariate::PolynomialBivariate ( int degree )

Create a PolynomialBivariate object.

Parameters

degree The order/degree of the polynomial

Definition at line 17 of file PolynomialBivariate.cpp.

References p_degree.

◆ ~PolynomialBivariate()

Isis::PolynomialBivariate::~PolynomialBivariate ( )

inline

Destroys the PolynomialBivariate object.

Definition at line 42 of file PolynomialBivariate.h.

Member Function Documentation

◆ Coefficient()

double Isis::BasisFunction::Coefficient ( int i ) const

inlineinherited

Returns the ith coefficient.

Parameters

i	The index for the desired coefficient.

Returns: The ith coefficient

Definition at line 107 of file BasisFunction.h.

References Isis::BasisFunction::p_coefs.

Referenced by Isis::PolynomialUnivariate::DerivativeVar(), Isis::SurfaceModel::MinMax(), and Isis::OverlapNormalization::Solve().

◆ Coefficients()

int Isis::BasisFunction::Coefficients ( ) const

inlineinherited

Returns the number of coefficients for the equation.

Returns: The number of coefficients.

Definition at line 64 of file BasisFunction.h.

References Isis::BasisFunction::p_numCoefs.

Referenced by Isis::PolynomialUnivariate::DerivativeCoef(), Isis::PolynomialUnivariate::DerivativeVar(), Isis::OverlapNormalization::Solve(), Isis::LeastSquares::SolveQRD(), and Isis::LeastSquares::SolveSVD().

◆ Evaluate() [1/2]

double Isis::BasisFunction::Evaluate ( const double & var )

inherited

Compute the equation using the input variable.

Parameters

var	A single double value to use for the equation.

Returns: The output double value resulting from the equation.

Definition at line 101 of file BasisFunction.cpp.

References Isis::BasisFunction::Evaluate().

◆ Evaluate() [2/2]

double Isis::BasisFunction::Evaluate ( const std::vector< double > & vars )

inherited

Compute the equation using the input variables.

Parameters

vars	A vector of double values to use for the equation. After setting the coefficients, this can be invoked many times to compute output values given input values.

Returns: The output value.

Definition at line 64 of file BasisFunction.cpp.

References Isis::BasisFunction::Expand(), Isis::BasisFunction::p_coefs, Isis::BasisFunction::p_numCoefs, Isis::BasisFunction::p_numVars, Isis::BasisFunction::p_terms, Isis::IException::Programmer, and Isis::toString().

Referenced by Isis::BasisFunction::Evaluate(), Isis::LeastSquares::Evaluate(), Isis::LeastSquares::SolveQRD(), and Isis::LeastSquares::SolveSVD().

◆ Expand()

void Isis::PolynomialBivariate::Expand ( const std::vector< double > & vars )

virtual

This is the the overriding virtual function that provides the expansion of the two input variables into the polynomial equation.

See BasisFunction for more information.

Parameters

vars	A vector of double values to use for the expansion.

Reimplemented from Isis::BasisFunction.

Definition at line 29 of file PolynomialBivariate.cpp.

References p_degree, and Isis::BasisFunction::p_terms.

◆ Name()

QString Isis::BasisFunction::Name ( ) const

inlineinherited

Returns the name of the equation.

Returns: The name of the equation.

Definition at line 80 of file BasisFunction.h.

References Isis::BasisFunction::p_name.

Referenced by Isis::LeastSquares::AddKnown().

◆ SetCoefficients()

void Isis::BasisFunction::SetCoefficients ( const std::vector< double > & coefs )

inherited

Set the coefficients for the equation.

Parameters

coefs A vector of coefficients for the equation.

Definition at line 42 of file BasisFunction.cpp.

References Isis::BasisFunction::p_coefs, Isis::BasisFunction::p_numCoefs, Isis::IException::Programmer, and Isis::toString().

Referenced by Isis::SpiceRotation::DCJdt(), Isis::PolynomialUnivariate::PolynomialUnivariate(), Isis::LeastSquares::SolveQRD(), Isis::LeastSquares::SolveSparse(), and Isis::LeastSquares::SolveSVD().

◆ Term()

double Isis::BasisFunction::Term ( int c ) const

inlineinherited

Returns the cth term.

This is only valid after a Evalute/Expand has been invoked. It represents the expansion of the variables into the ith term. For example,

\[ x = C1 + C2*x + C3*y + C4*x*y \]

would return x*y for the 3rd term (zero-based)

Parameters

c	The index for the desired coefficient.

Returns: The cth term.

Definition at line 97 of file BasisFunction.h.

References Isis::BasisFunction::p_terms.

Referenced by Isis::LeastSquares::FillSparseA(), Isis::LeastSquares::SolveQRD(), and Isis::LeastSquares::SolveSVD().

◆ Variables()

int Isis::BasisFunction::Variables ( ) const

inlineinherited

Returns the number of variables in the equation.

Returns: The number of variables.

Definition at line 72 of file BasisFunction.h.

References Isis::BasisFunction::p_numVars.

Referenced by Isis::LeastSquares::AddKnown(), and Isis::NthOrderPolynomial::Expand().

Member Data Documentation

◆ p_coefs

std::vector<double> Isis::BasisFunction::p_coefs

protectedinherited

A vector of the coefficients in the equation.

Call it by using Coefficient()

Definition at line 123 of file BasisFunction.h.

Referenced by Isis::BasisFunction::Coefficient(), Isis::BasisFunction::Evaluate(), and Isis::BasisFunction::SetCoefficients().

◆ p_degree

int Isis::PolynomialBivariate::p_degree

private

The order/degree of the polynomial.

Definition at line 47 of file PolynomialBivariate.h.

Referenced by Expand(), and PolynomialBivariate().

◆ p_name

QString Isis::BasisFunction::p_name

protectedinherited

The name of the equation. Call it by using Name()

Definition at line 113 of file BasisFunction.h.

Referenced by Isis::BasisFunction::BasisFunction(), and Isis::BasisFunction::Name().

◆ p_numCoefs

int Isis::BasisFunction::p_numCoefs

protectedinherited

The number of coefficients in the equation.

Call it by using Coefficients()

Definition at line 119 of file BasisFunction.h.

Referenced by Isis::BasisFunction::BasisFunction(), Isis::BasisFunction::Coefficients(), Isis::BasisFunction::Evaluate(), and Isis::BasisFunction::SetCoefficients().

◆ p_numVars

int Isis::BasisFunction::p_numVars

protectedinherited

The number of variables in the equation. Call it by using Variables()

Definition at line 115 of file BasisFunction.h.

Referenced by Isis::BasisFunction::BasisFunction(), Isis::BasisFunction::Evaluate(), and Isis::BasisFunction::Variables().

◆ p_terms

std::vector<double> Isis::BasisFunction::p_terms

protectedinherited

A vector of the terms in the equation.

Call it by using Term()

Definition at line 127 of file BasisFunction.h.

Referenced by Isis::BasisFunction::Evaluate(), Isis::BasisFunction::Expand(), Isis::NthOrderPolynomial::Expand(), Expand(), Isis::PolynomialUnivariate::Expand(), and Isis::BasisFunction::Term().

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

src/base/objs/PolynomialBivariate/PolynomialBivariate.h
src/base/objs/PolynomialBivariate/PolynomialBivariate.cpp

Public Member Functions

Protected Attributes

Private Attributes

Detailed Description

Constructor & Destructor Documentation

◆ PolynomialBivariate()

◆ ~PolynomialBivariate()

Member Function Documentation

◆ Coefficient()

◆ Coefficients()

◆ Evaluate() [1/2]

◆ Evaluate() [2/2]

◆ Expand()

◆ Name()

◆ SetCoefficients()

◆ Term()

◆ Variables()

Member Data Documentation

◆ p_coefs

◆ p_degree

◆ p_name

◆ p_numCoefs

◆ p_numVars

◆ p_terms