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Nth degree Polynomial with one variable. More...
#include <PolynomialUnivariate.h>
Inherits Isis::Basis1VariableFunction.
Public Member Functions | |
PolynomialUnivariate (int degree) | |
Create a PolynomialUnivariate object. | |
~PolynomialUnivariate () | |
Destroys the PolynomialUnivariate 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. | |
double | DerivativeVar (const double value) |
This will take the Derivative with respect to the variable and evaluate at given value. | |
double | DerivativeCoef (const double value, const int coefIndex) |
Evaluate the derivative of the polynomial defined by the given coefficients with respect to the coefficient at the given index, at the current value. | |
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. |
Nth degree Polynomial with one variable.
This is a derived class from Basis1VariableFunction which provides the capabilities of a polynomial equation in one variable with degree n, where n is specified during the object construction. For example, Degree = 1 z = a + b*x Degree = 2 z = a + b*x + c*x**2 Degree = 3 z = a + b*x + c*x**2 + d*x**3 In general the number of coefficients will be degree + 1.
Isis::PolynomialUnivariate::PolynomialUnivariate | ( | int | degree | ) |
Create a PolynomialUnivariate object.
degree | The order/degree of the polynomial |
Isis::PolynomialUnivariate::~PolynomialUnivariate | ( | ) | [inline] |
Destroys the PolynomialUnivariate object.
double Isis::BasisFunction::Coefficient | ( | int | i | ) | const [inline, inherited] |
Returns the ith coefficient.
i | The index for the desired coefficient. |
References Isis::BasisFunction::p_coefs.
Referenced by Isis::AutoReg::ModelSurface(), Isis::OverlapNormalization::Solve(), and Isis::Affine::Solve().
int Isis::BasisFunction::Coefficients | ( | ) | const [inline, inherited] |
Returns the number of coefficients for the equation.
References Isis::BasisFunction::p_numCoefs.
Referenced by Isis::OverlapNormalization::Solve().
double Isis::PolynomialUnivariate::DerivativeCoef | ( | const double | value, | |
const int | coefIndex | |||
) | [virtual] |
Evaluate the derivative of the polynomial defined by the given coefficients with respect to the coefficient at the given index, at the current value.
[in] | value | (const double) value at which to evaluate derivative |
[in] | coefIndex | (const int) The index of the coefficient to differentiate with respect to |
Implements Isis::Basis1VariableFunction.
double Isis::PolynomialUnivariate::DerivativeVar | ( | const double | value | ) | [virtual] |
This will take the Derivative with respect to the variable and evaluate at given value.
[in] | value | (const double) value at which to evaluate derivative |
Implements Isis::Basis1VariableFunction.
double Isis::BasisFunction::Evaluate | ( | const std::vector< double > & | vars | ) | [inherited] |
Compute the equation using the input variables.
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. |
Referenced by Isis::SpicePosition::SetEphemerisTimePolyFunction().
void Isis::PolynomialUnivariate::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.
vars | A vector of double values to use for the expansion. |
Reimplemented from Isis::BasisFunction.
std::string Isis::BasisFunction::Name | ( | ) | const [inline, inherited] |
Returns the name of the equation.
References Isis::BasisFunction::p_name.
void Isis::BasisFunction::SetCoefficients | ( | const std::vector< double > & | coefs | ) | [inherited] |
Set the coefficients for the equation.
coefs | A vector of coefficients for the equation. |
Referenced by Isis::SpicePosition::SetEphemerisTimePolyFunction(), and Isis::SpicePosition::SetPolynomial().
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,
would return x*y for the 3rd term (zero-based)
c | The index for the desired coefficient. |
References Isis::BasisFunction::p_terms.
int Isis::BasisFunction::Variables | ( | ) | const [inline, inherited] |
Returns the number of variables in the equation.
References Isis::BasisFunction::p_numVars.
std::vector<double> Isis::BasisFunction::p_coefs [protected, inherited] |
A vector of the coefficients in the equation.
Call it by using Coefficient()
Referenced by Isis::BasisFunction::Coefficient().
std::string Isis::BasisFunction::p_name [protected, inherited] |
The name of the equation. Call it by using Name().
Referenced by Isis::BasisFunction::Name().
int Isis::BasisFunction::p_numCoefs [protected, inherited] |
The number of coefficients in the equation.
Call it by using Coefficients()
Referenced by Isis::BasisFunction::Coefficients().
int Isis::BasisFunction::p_numVars [protected, inherited] |
The number of variables in the equation. Call it by using Variables().
Referenced by 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()
Referenced by Isis::BasisFunction::Term().