sofa::helper::Monomial_LD< Real, N > Class Template Reference

#include <Polynomial_LD.h>

A generic monomial with N variables of type Real. A monomial is one term of a polynomial. More...

Detailed Description

template<typename Real, unsigned int N>
class sofa::helper::Monomial_LD< Real, N >

A generic monomial with N variables of type Real. A monomial is one term of a polynomial.

Todo this first version of polynomial is a linear presentation. This presentation is efficient for arithmetic operator like +,-,*,/ and derivative. But is not optimized for the evaluating (comparing to the recurent presentation).

Public Attributes
Real	coef
sofa::type::Vec< N, int >	powers

Protected Attributes
sofa::type::Vec< N, std::string >	variables

Public Member Functions
	Monomial_LD ()
	Monomial_LD (Real,...)
	Monomial_LD (const Monomial_LD< Real, N > &a)
Monomial_LD< Real, N > &	operator= (const Monomial_LD< Real, N > &b)
void	SetCoef (const Real &m_coef)
	Setting of Monomial_LD. More...
void	SetPower (int numbervar, int powervalue)
int	degree ()
	Return the total degree of monomial. More...
bool	operator== (const Monomial_LD< Real, N > &b) const
	Logical operators. More...
bool	operator!= (const Monomial_LD< Real, N > &b) const
bool	isSamePowers (const Monomial_LD< Real, N > &b) const
bool	isnullptr () const
Monomial_LD< Real, N > &	operator*= (const Real &alpha)
	Mathematical operators. More...
Monomial_LD< Real, N > &	operator/= (const Real &alpha)
Monomial_LD< Real, N > &	operator+= (const Monomial_LD< Real, N > &b)
Monomial_LD< Real, N > &	operator-= (const Monomial_LD< Real, N > &b)
Monomial_LD< Real, N > &	operator*= (const Monomial_LD< Real, N > &b)
Monomial_LD< Real, N >	operator+ () const
Monomial_LD< Real, N >	operator- () const
Monomial_LD< Real, N >	operator* (const Real &alpha)
Monomial_LD< Real, N >	operator/ (const Real &alpha)
Monomial_LD< Real, N >	operator+ (const Monomial_LD< Real, N > &a)
Monomial_LD< Real, N >	operator- (const Monomial_LD< Real, N > &a)
Monomial_LD< Real, N >	operator* (const Monomial_LD< Real, N > &a)
Real	operator() (const RNpoint &x) const
	Evaluating value. More...
Real	operator() (const RNpoint &x, unsigned int idvar) const
	Evaluating first partial derivative by idvar-th variable. More...
Monomial_LD< Real, N >	d (const unsigned int &ideriv) const
	Evaluating partial derivative hight order by idvar-th variable in ideriv-th order. More...
void	writeToStream (std::ostream &ff) const
void	readFromStream (std::istream &ff)

Friends
template<typename FReal , unsigned int FN>
Monomial_LD< FReal, FN > &	operator* (const FReal &alpha, Monomial_LD< FReal, FN > &r)

Attribute details

coef

template<typename Real , unsigned int N>

Real sofa::helper::Monomial_LD< Real, N >::coef

powers

template<typename Real , unsigned int N>

sofa::type::Vec<N,int> sofa::helper::Monomial_LD< Real, N >::powers

variables

template<typename Real , unsigned int N>

sofa::type::Vec<N,std::string> sofa::helper::Monomial_LD< Real, N >::variables

protected

Constructor details

Monomial_LD() [1/3]

template<typename Real , unsigned int N>

sofa::helper::Monomial_LD< Real, N >::Monomial_LD

Tools used in FEM computing

Monomial_LD() [2/3]

template<typename Real , unsigned int N>

sofa::helper::Monomial_LD< Real, N >::Monomial_LD	(	Real	m_coef,
			...
	)

Monomial_LD() [3/3]

template<typename Real , unsigned int N>

sofa::helper::Monomial_LD< Real, N >::Monomial_LD

(

const Monomial_LD< Real, N > &

a

)

Function details

d()

template<typename Real , unsigned int N>

Monomial_LD< Real, N > sofa::helper::Monomial_LD< Real, N >::d

(

const unsigned int &

ideriv

)

const

Evaluating partial derivative hight order by idvar-th variable in ideriv-th order.

Derivative operator alowing to write p1=p2.d(x);

degree()

template<typename Real , unsigned int N>

int sofa::helper::Monomial_LD< Real, N >::degree

Return the total degree of monomial.

isnullptr()

template<typename Real , unsigned int N>

bool sofa::helper::Monomial_LD< Real, N >::isnullptr ( ) const

inline

isSamePowers()

template<typename Real , unsigned int N>

bool sofa::helper::Monomial_LD< Real, N >::isSamePowers

(

const Monomial_LD< Real, N > &

b

)

const

operator!=()

template<typename Real , unsigned int N>

bool sofa::helper::Monomial_LD< Real, N >::operator!= ( const Monomial_LD< Real, N > &  b ) const

inline

operator()() [1/2]

template<typename Real , unsigned int N>

Real sofa::helper::Monomial_LD< Real, N >::operator()

(

const RNpoint &

x

)

const

Evaluating value.

operator()() [2/2]

template<typename Real , unsigned int N>

Real sofa::helper::Monomial_LD< Real, N >::operator()	(	const RNpoint &	x,
		unsigned int	idvar
	)		const

Evaluating first partial derivative by idvar-th variable.

operator*() [1/2]

template<typename Real , unsigned int N>

Monomial_LD<Real,N> sofa::helper::Monomial_LD< Real, N >::operator* ( const Monomial_LD< Real, N > &  a )

inline

operator*() [2/2]

template<typename Real , unsigned int N>

Monomial_LD<Real,N> sofa::helper::Monomial_LD< Real, N >::operator* ( const Real &  alpha )

inline

operator*=() [1/2]

template<typename Real , unsigned int N>

Monomial_LD< Real, N > & sofa::helper::Monomial_LD< Real, N >::operator*=

(

const Monomial_LD< Real, N > &

b

)

operator*=() [2/2]

template<typename Real , unsigned int N>

Monomial_LD<Real,N>& sofa::helper::Monomial_LD< Real, N >::operator*= ( const Real &  alpha )

inline

Mathematical operators.

operator+() [1/2]

template<typename Real , unsigned int N>

Monomial_LD<Real,N> sofa::helper::Monomial_LD< Real, N >::operator+ ( ) const

inline

operator+() [2/2]

template<typename Real , unsigned int N>

Monomial_LD<Real,N> sofa::helper::Monomial_LD< Real, N >::operator+ ( const Monomial_LD< Real, N > &  a )

inline

operator+=()

template<typename Real , unsigned int N>

Monomial_LD< Real, N > & sofa::helper::Monomial_LD< Real, N >::operator+=

(

const Monomial_LD< Real, N > &

b

)

operator-() [1/2]

template<typename Real , unsigned int N>

Monomial_LD<Real,N> sofa::helper::Monomial_LD< Real, N >::operator- ( ) const

inline

operator-() [2/2]

template<typename Real , unsigned int N>

Monomial_LD<Real,N> sofa::helper::Monomial_LD< Real, N >::operator- ( const Monomial_LD< Real, N > &  a )

inline

operator-=()

template<typename Real , unsigned int N>

Monomial_LD< Real, N > & sofa::helper::Monomial_LD< Real, N >::operator-=

(

const Monomial_LD< Real, N > &

b

)

operator/()

template<typename Real , unsigned int N>

Monomial_LD<Real,N> sofa::helper::Monomial_LD< Real, N >::operator/ ( const Real &  alpha )

inline

operator/=()

template<typename Real , unsigned int N>

Monomial_LD<Real,N>& sofa::helper::Monomial_LD< Real, N >::operator/= ( const Real &  alpha )

inline

operator=()

template<typename Real , unsigned int N>

Monomial_LD< Real, N > & sofa::helper::Monomial_LD< Real, N >::operator=

(

const Monomial_LD< Real, N > &

b

)

operator==()

template<typename Real , unsigned int N>

bool sofa::helper::Monomial_LD< Real, N >::operator==

(

const Monomial_LD< Real, N > &

b

)

const

Logical operators.

readFromStream()

template<typename Real , unsigned int N>

void sofa::helper::Monomial_LD< Real, N >::readFromStream

(

std::istream &

ff

)

SetCoef()

template<typename Real , unsigned int N>

void sofa::helper::Monomial_LD< Real, N >::SetCoef ( const Real &  m_coef )

inline

Setting of Monomial_LD.

SetPower()

template<typename Real , unsigned int N>

void sofa::helper::Monomial_LD< Real, N >::SetPower ( int  numbervar, int  powervalue  )

inline

writeToStream()

template<typename Real , unsigned int N>

void sofa::helper::Monomial_LD< Real, N >::writeToStream

(

std::ostream &

ff

)

const

Enum details

anonymous enum

template<typename Real , unsigned int N>

anonymous enum

to define the derivative operator m_mono.d(x), m_mono.d(y)

Enumerator
x
y
z
xy
yz
zx

Related details

operator*

template<typename Real , unsigned int N>

template<typename FReal , unsigned int FN>

Monomial_LD<FReal,FN>& operator* ( const FReal &  alpha, Monomial_LD< FReal, FN > &  r  )

friend