MathUtils::Polynomial Class Reference

Polynomial functor: f(x) = sum(a[i] * x^i). Coefficients are stored in order: a[0] + a[1]*x + a[2]*x^2 + ... More...

#include <MathUtils_FunctorScalar.hxx>

Public Member Functions
	Polynomial (std::initializer_list< double > theCoeffs)
	Constructor from initializer list.
	Polynomial (const math_Vector &theCoeffs)
	Constructor from math_Vector.
bool	Value (double theX, double &theY) const
	Evaluates polynomial at theX using Horner's method.
bool	Values (double theX, double &theY, double &theDY) const
	Evaluates polynomial and its derivative at theX.
int	Degree () const
	Returns the degree of the polynomial.
double	Coefficient (int theIndex) const
	Returns coefficient by index.

Detailed Description

Polynomial functor: f(x) = sum(a[i] * x^i). Coefficients are stored in order: a[0] + a[1]*x + a[2]*x^2 + ...

Usage:

// x^2 - 2 (find sqrt(2))
Polynomial aPoly({-2.0, 0.0, 1.0});
 
// x^3 - 6x^2 + 11x - 6 = (x-1)(x-2)(x-3)
Polynomial aCubic({-6.0, 11.0, -6.0, 1.0});

Constructor & Destructor Documentation

Polynomial() [1/2]

MathUtils::Polynomial::Polynomial ( std::initializer_list< double > theCoeffs )

inline

Constructor from initializer list.

Parameters

theCoeffs

coefficients in ascending power order

Polynomial() [2/2]

MathUtils::Polynomial::Polynomial ( const math_Vector & theCoeffs )

inlineexplicit

Constructor from math_Vector.

Parameters

theCoeffs

coefficients in ascending power order

Member Function Documentation

Coefficient()

double MathUtils::Polynomial::Coefficient ( int theIndex ) const

inline

Returns coefficient by index.

Parameters

theIndex

coefficient index (0 = constant term)

Returns

coefficient value

Degree()

int MathUtils::Polynomial::Degree ( ) const

inline

Returns the degree of the polynomial.

Returns

polynomial degree (number of coefficients - 1)

Value()

bool MathUtils::Polynomial::Value ( double theX, double & theY ) const

inline

Evaluates polynomial at theX using Horner's method.

Parameters

[in]	theX	input value
[out]	theY	polynomial value p(theX)

Returns

true (always succeeds for polynomials)

Values()

bool MathUtils::Polynomial::Values ( double theX, double & theY, double & theDY ) const

inline

Evaluates polynomial and its derivative at theX.

Parameters

[in]	theX	input value
[out]	theY	polynomial value p(theX)
[out]	theDY	derivative value p'(theX)

Returns

true (always succeeds for polynomials)

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

• MathUtils_FunctorScalar.hxx