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Isis::Parabola Class Reference
[Math]

#include <Parabola.h>

Inheritance diagram for Isis::Parabola:

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Collaboration diagram for Isis::Parabola:

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List of all members.

Detailed Description

Parabola basis function.

This is a derived class from the BasisFunction class which creates a parabola (second degree equation in 1 variable). The parabolic function has the following form:

\[ x = A + B*y + C*y**2 \]

Author:
2005-06-09 Kris Becker

For internal use only.

History:
2006-04-15 Debbie A. Cook - Imported from ISIS2 to Isis 3

Definition at line 50 of file Parabola.h.

Public Member Functions

 Parabola (const std::string &bname="Parabola")
 Create a Parabola object.
 ~Parabola ()
 Destroys the Parabola object.
void Expand (const std::vector< double > &vars)
 This is the the overriding virtual function that provides the expansion into the parabolic 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.
int Coefficients () const
 Returns the number of coefficients for the equation.
int Variables () const
 Returns the number of variables in the equation.
std::string 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

std::string 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.


Constructor & Destructor Documentation

Isis::Parabola::Parabola ( const std::string &  bname = "Parabola"  )  [inline]

Create a Parabola object.

Definition at line 56 of file Parabola.h.

Isis::Parabola::~Parabola (  )  [inline]

Destroys the Parabola object.

Definition at line 60 of file Parabola.h.


Member Function Documentation

double Isis::BasisFunction::Coefficient ( int  i  )  const [inline, inherited]

Returns the ith coefficient.

Parameters:
i The index for the desired coefficient.
Returns:
The ith coefficient

Definition at line 109 of file BasisFunction.h.

Referenced by Isis::PolynomialUnivariate::DerivativeVar(), Isis::SurfaceModel::MinMax(), Isis::AutoReg::ModelSurface(), Isis::SpicePosition::ReloadCache(), Isis::SpicePosition::SetPolynomial(), Isis::OverlapNormalization::Solve(), Isis::Affine::Solve(), and Isis::BundleAdjust::Update().

int Isis::BasisFunction::Coefficients (  )  const [inline, inherited]

Returns the number of coefficients for the equation.

Returns:
The number of coefficients.

Definition at line 74 of file BasisFunction.h.

References Isis::BasisFunction::p_numCoefs.

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

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 73 of file BasisFunction.cpp.

References _FILEINFO_, Isis::BasisFunction::Expand(), Isis::iException::Message(), Isis::BasisFunction::p_coefs, Isis::BasisFunction::p_numCoefs, Isis::BasisFunction::p_numVars, and Isis::BasisFunction::p_terms.

Referenced by Isis::LeastSquares::Evaluate(), Isis::SpicePosition::ReloadCache(), Isis::LeastSquares::SolveQRD(), Isis::LeastSquares::SolveSparse(), and Isis::LeastSquares::SolveSVD().

void Isis::Parabola::Expand ( const std::vector< double > &  vars  )  [virtual]

This is the the overriding virtual function that provides the expansion into the parabolic 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 39 of file Parabola.cpp.

References Isis::BasisFunction::p_terms, and Isis::BasisFunction::Variables().

std::string Isis::BasisFunction::Name (  )  const [inline, inherited]

Returns the name of the equation.

Returns:
The name of the equation.

Definition at line 86 of file BasisFunction.h.

References Isis::BasisFunction::p_name.

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

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 55 of file BasisFunction.cpp.

References _FILEINFO_, Isis::iException::Message(), Isis::BasisFunction::p_coefs, and Isis::BasisFunction::p_numCoefs.

Referenced by Isis::SpicePosition::SetPolynomial(), Isis::LeastSquares::SolveQRD(), Isis::LeastSquares::SolveSparse(), and Isis::LeastSquares::SolveSVD().

double Isis::BasisFunction::Term ( int  c  )  const [inline, inherited]

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 101 of file BasisFunction.h.

References Isis::BasisFunction::p_terms.

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

int Isis::BasisFunction::Variables (  )  const [inline, inherited]

Returns the number of variables in the equation.

Returns:
The number of variables.

Definition at line 80 of file BasisFunction.h.

References Isis::BasisFunction::p_numVars.

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


Member Data Documentation

std::vector<double> Isis::BasisFunction::p_coefs [protected, inherited]

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::Evaluate(), and Isis::BasisFunction::SetCoefficients().

std::string Isis::BasisFunction::p_name [protected, inherited]

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

Definition at line 109 of file BasisFunction.h.

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

int Isis::BasisFunction::p_numCoefs [protected, inherited]

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().

int Isis::BasisFunction::p_numVars [protected, inherited]

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().

std::vector<double> Isis::BasisFunction::p_terms [protected, inherited]

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::PolynomialUnivariate::Expand(), Isis::PolynomialBivariate::Expand(), Expand(), Isis::BasisFunction::Expand(), and Isis::BasisFunction::Term().


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