DiFfRG::Polynomial Class Reference

A class representing a polynomial. More...

#include <polynomials.hh>

Public Member Functions
	Polynomial (const std::vector< double > &coefficients)
	Construct a new Polynomial object from a list of coefficients. The coefficients are ordered from the lowest to the highest power, starting with 0.
const double &	operator[] (const uint &i) const
	Access the i-th coefficient of the polynomial.
double &	operator[] (const uint &i)
	Access the i-th coefficient of the polynomial.
double	operator() (const double &x) const
	Evaluate the polynomial at a given point x.
void	operator*= (const double &scalar)
	Multiply the polynomial by a scalar.
void	operator*= (const Polynomial &other)
	Multiply the polynomial by another polynomial.
Polynomial	anti_derivative (const double &integration_constant) const
	Compute the antiderivative of the polynomial. An integration constant is given as an argument.
Polynomial	derivative () const
	Compute the derivative of the polynomial.
double	integral (const double &x_min, const double &x_max) const
	Compute the integral of the polynomial between two points.
Polynomial	square_argument () const
	A utility function to obtain from this polynomial P(x) the polynomial Q(x) = P(x^2)

Private Attributes
std::vector< double >	coefficients

Detailed Description

A class representing a polynomial.

Constructor & Destructor Documentation

Polynomial()

DiFfRG::Polynomial::Polynomial

(

const std::vector< double > &

coefficients

)

Construct a new Polynomial object from a list of coefficients. The coefficients are ordered from the lowest to the highest power, starting with 0.

Member Function Documentation

anti_derivative()

Polynomial DiFfRG::Polynomial::anti_derivative

(

const double &

integration_constant

)

const

Compute the antiderivative of the polynomial. An integration constant is given as an argument.

The antiderivative is a polynomial of one degree higher than the original polynomial.

Parameters

integration_constant

The constant term of the antiderivative.

Returns

Polynomial The antiderivative of the polynomial.

derivative()

Polynomial DiFfRG::Polynomial::derivative

(

)

const

Compute the derivative of the polynomial.

The derivative is a polynomial of one degree lower than the original polynomial.

Returns

Polynomial The derivative of the polynomial.

integral()

double DiFfRG::Polynomial::integral	(	const double &	x_min,
		const double &	x_max ) const

Compute the integral of the polynomial between two points.

Parameters

x_min	The lower bound of the integral.
x_max	The upper bound of the integral.

Returns

double The integral of the polynomial between x_min and x_max.

operator()()

double DiFfRG::Polynomial::operator()

(

const double &

x

)

const

Evaluate the polynomial at a given point x.

operator*=() [1/2]

void DiFfRG::Polynomial::operator*=

(

const double &

scalar

)

Multiply the polynomial by a scalar.

operator*=() [2/2]

void DiFfRG::Polynomial::operator*=

(

const Polynomial &

other

)

Multiply the polynomial by another polynomial.

operator[]() [1/2]

double & DiFfRG::Polynomial::operator[]

(

const uint &

i

)

Access the i-th coefficient of the polynomial.

operator[]() [2/2]

const double & DiFfRG::Polynomial::operator[]

(

const uint &

i

)

const

Access the i-th coefficient of the polynomial.

square_argument()

Polynomial DiFfRG::Polynomial::square_argument

(

)

const

A utility function to obtain from this polynomial P(x) the polynomial Q(x) = P(x^2)

Returns

Polynomial The polynomial Q(x) = P(x^2).

Member Data Documentation

coefficients

std::vector<double> DiFfRG::Polynomial::coefficients

private

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

• /home/runner/work/DiFfRG/DiFfRG/DiFfRG/include/DiFfRG/common/polynomials.hh