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

#include <Polynomial_LD.h>

A generic polynomial with N variables of type Real. A polynomial is a list composed of several monomials. More...

Detailed Description

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

A generic polynomial with N variables of type Real. A polynomial is a list composed of several monomials.

Public Attributes
unsigned int	nbOfMonomial
MonomialsList	listOfMonoMial

Public Member Functions
	Polynomial_LD ()
	Default constructor. More...
	Polynomial_LD (const Polynomial_LD< Real, N > &a)
	Copy constructor. More...
	Polynomial_LD (const Monomial_LD< Real, N > &a)
Polynomial_LD< Real, N > &	operator= (const Polynomial_LD< Real, N > &b)
	Assign operator. More...
	Polynomial_LD (const unsigned int nbofTerm,...)
	setting of Polynomial More...
void	Set (const unsigned int nbofTerm,...)
int	degree ()
bool	operator== (const Polynomial_LD< Real, N > &b) const
	Return true if a and b has the same powers. More...
bool	operator!= (const Polynomial_LD< Real, N > &b) const
Polynomial_LD< Real, N > &	operator*= (const Real &alpha)
Polynomial_LD< Real, N > &	operator/= (const Real &alpha)
Polynomial_LD< Real, N > &	operator+= (const Monomial_LD< Real, N > &b)
Polynomial_LD< Real, N > &	operator+= (const Polynomial_LD< Real, N > &b)
Polynomial_LD< Real, N > &	operator-= (const Polynomial_LD< Real, N > &b)
Polynomial_LD< Real, N >	operator+ () const
Polynomial_LD< Real, N >	operator- () const
Polynomial_LD< Real, N > &	operator*= (const Polynomial_LD< Real, N > &b)
Polynomial_LD< Real, N >	operator* (const Real &alpha)
Polynomial_LD< Real, N >	operator/ (const Real &alpha)
Polynomial_LD< Real, N >	operator+ (const Monomial_LD< Real, N > &a)
Polynomial_LD< Real, N >	operator+ (const Polynomial_LD< Real, N > &a)
Polynomial_LD< Real, N >	operator- (const Polynomial_LD< Real, N > &a)
Polynomial_LD< Real, N >	operator* (const Polynomial_LD< Real, N > &a)
Real	operator() (const RNpoint &x) const
	Evaluating. More...
Real	operator() (const RNpoint &x, unsigned int idvar) const
	Evaluating first partial derivative by idvar-th variable. More...
Polynomial_LD< Real, N >	d (const unsigned int &ideriv) const
	Evaluating partial derivative hight order by idvar-th variable in ideriv-th order. More...
void	setnbOfMonomial (int m_nbofmonomial)
void	writeToStream (std::ostream &stream) const
void	readFromStream (std::istream &stream)
std::string	getString () const
void	sort ()

Protected Member Functions
void	exchangeMonomial (unsigned int ithMono, unsigned int jthMono)
	The sort must be done after each constructor and each operation where monomials are inserted. More...
void	sortByVar (unsigned int idVar)

Friends
template<typename FReal , unsigned int FN>
Polynomial_LD< FReal, FN > &	operator* (const FReal &alpha, Polynomial_LD< FReal, FN > &r)
template<typename FReal , unsigned int FN>
Polynomial_LD< FReal, FN > &	operator* (const Monomial_LD< FReal, FN > &a, Polynomial_LD< FReal, FN > &r)
	poly=poly+mono || mono + poly More...

Attribute details

listOfMonoMial

template<typename Real , unsigned int N>

MonomialsList sofa::helper::Polynomial_LD< Real, N >::listOfMonoMial

nbOfMonomial

template<typename Real , unsigned int N>

unsigned int sofa::helper::Polynomial_LD< Real, N >::nbOfMonomial

Constructor details

Polynomial_LD() [1/4]

template<typename Real , unsigned int N>

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

Default constructor.

Polynomial_LD() [2/4]

template<typename Real , unsigned int N>

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

(

const Polynomial_LD< Real, N > &

a

)

Copy constructor.

Polynomial_LD() [3/4]

template<typename Real , unsigned int N>

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

(

const Monomial_LD< Real, N > &

a

)

Polynomial_LD() [4/4]

template<typename Real , unsigned int N>

sofa::helper::Polynomial_LD< Real, N >::Polynomial_LD	(	const unsigned int	nbofTerm,
			...
	)

setting of Polynomial

Function details

d()

template<typename Real , unsigned int N>

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

(

const unsigned int &

ideriv

)

const

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

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

degree()

template<typename Real , unsigned int N>

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

exchangeMonomial()

template<typename Real , unsigned int N>

void sofa::helper::Polynomial_LD< Real, N >::exchangeMonomial ( unsigned int  ithMono, unsigned int  jthMono  )

protected

The sort must be done after each constructor and each operation where monomials are inserted.

getString()

template<typename Real , unsigned int N>

std::string sofa::helper::Polynomial_LD< Real, N >::getString

operator!=()

template<typename Real , unsigned int N>

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

inline

operator()() [1/2]

template<typename Real , unsigned int N>

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

(

const RNpoint &

x

)

const

Evaluating.

operator()() [2/2]

template<typename Real , unsigned int N>

Real sofa::helper::Polynomial_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>

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

inline

operator*() [2/2]

template<typename Real , unsigned int N>

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

inline

operator*=() [1/2]

template<typename Real , unsigned int N>

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

(

const Polynomial_LD< Real, N > &

b

)

operator*=() [2/2]

template<typename Real , unsigned int N>

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

(

const Real &

alpha

)

operator+() [1/3]

template<typename Real , unsigned int N>

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

inline

operator+() [2/3]

template<typename Real , unsigned int N>

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

inline

operator+() [3/3]

template<typename Real , unsigned int N>

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

inline

operator+=() [1/2]

template<typename Real , unsigned int N>

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

(

const Monomial_LD< Real, N > &

b

)

operator+=() [2/2]

template<typename Real , unsigned int N>

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

(

const Polynomial_LD< Real, N > &

b

)

operator-() [1/2]

template<typename Real , unsigned int N>

Polynomial_LD< Real, N > sofa::helper::Polynomial_LD< Real, N >::operator-

operator-() [2/2]

template<typename Real , unsigned int N>

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

inline

operator-=()

template<typename Real , unsigned int N>

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

(

const Polynomial_LD< Real, N > &

b

)

operator/()

template<typename Real , unsigned int N>

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

inline

operator/=()

template<typename Real , unsigned int N>

Polynomial_LD< Real, N > & sofa::helper::Polynomial_LD< Real, N >::operator/=

(

const Real &

alpha

)

operator=()

template<typename Real , unsigned int N>

Polynomial_LD<Real,N>& sofa::helper::Polynomial_LD< Real, N >::operator= ( const Polynomial_LD< Real, N > &  b )

inline

Assign operator.

operator==()

template<typename Real , unsigned int N>

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

(

const Polynomial_LD< Real, N > &

b

)

const

Return true if a and b has the same powers.

readFromStream()

template<typename Real , unsigned int N>

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

(

std::istream &

stream

)

Set()

template<typename Real , unsigned int N>

void sofa::helper::Polynomial_LD< Real, N >::Set	(	const unsigned int	nbofTerm,
			...
	)

setnbOfMonomial()

template<typename Real , unsigned int N>

void sofa::helper::Polynomial_LD< Real, N >::setnbOfMonomial

(

int

m_nbofmonomial

)

sort()

template<typename Real , unsigned int N>

void sofa::helper::Polynomial_LD< Real, N >::sort

sortByVar()

template<typename Real , unsigned int N>

void sofa::helper::Polynomial_LD< Real, N >::sortByVar ( unsigned int  idVar )

protected

writeToStream()

template<typename Real , unsigned int N>

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

(

std::ostream &

stream

)

const

Related details

operator* [1/2]

template<typename Real , unsigned int N>

template<typename FReal , unsigned int FN>

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

friend

Comutativity of operator*(Real): Allowing to write p1=r*p2; or p1=p2*r; Polynomial_LD = Polynomial_LD*Real || Real*Polynomial_LD.

operator* [2/2]

template<typename Real , unsigned int N>

template<typename FReal , unsigned int FN>

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

friend

poly=poly+mono || mono + poly