ug::Polynomial1D Class Reference

#include <polynomial1d.h>

Inheritance diagram for ug::Polynomial1D:

Public Member Functions
size_t	degree () const
Polynomial1D	derivative () const
	returns the derivative of this polynomial as a polynomial
Polynomial1D &	operator*= (const Polynomial1D &v)
	multiply by a polynomial
Polynomial1D &	operator*= (number scale)
	multiply by a scalar
	Polynomial1D (const std::vector< number > &a)
	Constructor passing coefficients for the polynomial.
	Polynomial1D (size_t degree=0)
	Constructor producing zero polynomial of degree 'degree'.
number	value (const number x) const
	evaluate the value of the polynom at x

Protected Member Functions
void	set_coefficients (const std::vector< number > &a)

Private Attributes
std::vector< number >	m_vCoeff

Friends
std::ostream &	operator<< (std::ostream &outStream, Polynomial1D &v)

Detailed Description

base class for one dimensional polynomials This class is used to represent polynomials in one variable. For the evaluation the horner scheme is used. Note that using this representation the computation of higher order derivatives turns out easier than by hard coded implementations.

Constructor & Destructor Documentation

Polynomial1D() [1/2]

ug::Polynomial1D::Polynomial1D ( size_t  degree = 0 )

inline

Constructor producing zero polynomial of degree 'degree'.

Polynomial1D() [2/2]

ug::Polynomial1D::Polynomial1D ( const std::vector< number > &  a )

inline

Constructor passing coefficients for the polynomial.

References m_vCoeff.

Member Function Documentation

degree()

size_t ug::Polynomial1D::degree ( ) const

inline

returns the degree of the polynomial. This function returns the degree of the polynomial, i.e. the highest coefficient stored. Note that no checking is performed if the leading coefficient is zero.

References m_vCoeff.

Referenced by ug::BoundedEquidistantLagrange1D::BoundedEquidistantLagrange1D(), derivative(), ug::EquidistantLagrange1D::EquidistantLagrange1D(), operator*=(), operator*=(), ug::EquidistantLagrange1D::position(), ug::TruncatedEquidistantLagrange1D::position(), ug::BoundedEquidistantLagrange1D::position(), and ug::TruncatedEquidistantLagrange1D::TruncatedEquidistantLagrange1D().

derivative()

Polynomial1D ug::Polynomial1D::derivative ( ) const

inline

returns the derivative of this polynomial as a polynomial

References degree(), and m_vCoeff.

operator*=() [1/2]

Polynomial1D & ug::Polynomial1D::operator*= ( const Polynomial1D &  v )

inline

multiply by a polynomial

References degree(), and m_vCoeff.

operator*=() [2/2]

Polynomial1D & ug::Polynomial1D::operator*= ( number  scale )

inline

multiply by a scalar

References degree(), and m_vCoeff.

set_coefficients()

void ug::Polynomial1D::set_coefficients ( const std::vector< number > &  a )

inlineprotected

References m_vCoeff.

Referenced by ug::EquidistantLagrange1D::compute_coeffs(), ug::TruncatedEquidistantLagrange1D::compute_coeffs(), ug::BoundedEquidistantLagrange1D::compute_coeffs(), and ug::Lagrange1D::compute_coeffs().

value()

number ug::Polynomial1D::value ( const number  x ) const

inline

evaluate the value of the polynom at x

References m_vCoeff.

Friends And Related Symbol Documentation

operator<<

std::ostream & operator<< ( std::ostream &  outStream, Polynomial1D &  v  )

friend

Member Data Documentation

m_vCoeff

std::vector<number> ug::Polynomial1D::m_vCoeff

private

Referenced by degree(), derivative(), operator*=(), operator*=(), Polynomial1D(), set_coefficients(), and value().

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

• ugbase/lib_disc/local_finite_element/common/polynomial1d.h