#include <RecursionRelationTwo.h>

Collaboration diagram for polynomial::RecursionRelationTwo:

Public Member Functions
	RecursionRelationTwo ()

	RecursionRelationTwo (const std::size_t &power, const std::size_t &highestXorder)

	RecursionRelationTwo (const RecursionRelationTwo &doperator)

	~RecursionRelationTwo ()

RecursionRelationTwo &	operator= (const RecursionRelationTwo &recursion)

void	printOperator () const

void	truncate (std::size_t highestXorder)

void	applyOperator ()

void	differentiateX ()

void	differentiateS ()

std::size_t	getMaxXDerivatives () const

std::size_t	getMaxSDerivatives () const

double	evaluatePolynomial (const double &x, const double &s, const std::size_t &xDerivative, const std::size_t &sDerivative, const std::vector< double > &dSvalues) const

bool	isPolynomialZero (const std::size_t &x, const std::size_t &s, const std::size_t &term) const

void	resizeX (const std::size_t &xDerivatives)

void	resizeS (const std::size_t &sDerivatives)

std::size_t	numberOfTerms (const std::size_t &xDerivative, const std::size_t &sDerivative) const

std::vector< std::size_t >	getdSfactors (const std::size_t &xDerivative, const std::size_t &sDerivative, const std::size_t &p) const

void	sortTerms ()

Private Attributes
DifferentialOperatorTwo	operator_m

std::size_t	power_m

std::size_t	highestXorder_m

Detailed Description

Definition at line 61 of file RecursionRelationTwo.h.

Constructor & Destructor Documentation

polynomial::RecursionRelationTwo::RecursionRelationTwo ( )

Default constructor, initialises identity operator

Definition at line 37 of file RecursionRelationTwo.cpp.

References operator_m, and polynomial::DifferentialOperatorTwo::setPolynomial().

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polynomial::RecursionRelationTwo::RecursionRelationTwo	(	const std::size_t &	power,
		const std::size_t &	highestXorder
	)

Constructor, initialises the operator

\begin{eqnarray*} { \Big(\frac{1}{\rho(s)(1 + x/\rho(s))}\frac{\partial}{\partial x} + \frac{\partial^2}{\partial x^2} + \frac{1}{1 + x/\rho(s)} \frac{\partial}{\partial s}\Big(\frac{1}{1 + x/\rho(s)} \frac{\partial}{\partial s}\Big)\Big)^n \end{eqnarray*}

where power = n. The denominators are expanded in x and highestXorder
is the highest power of x

Parameters

power	-> Value of n of the coefficient fn
highestXorder	-> Highest power of x

Definition at line 45 of file RecursionRelationTwo.cpp.

References applyOperator(), operator_m, power_m, polynomial::DifferentialOperatorTwo::setPolynomial(), sortTerms(), and truncate().

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polynomial::RecursionRelationTwo::RecursionRelationTwo ( const RecursionRelationTwo & doperator )

Copy constructor

Definition at line 60 of file RecursionRelationTwo.cpp.

polynomial::RecursionRelationTwo::~RecursionRelationTwo ( )

Desctructor, does nothing

Definition at line 66 of file RecursionRelationTwo.cpp.

Member Function Documentation

void polynomial::RecursionRelationTwo::applyOperator ( )

Applies another differential operator to the existing operator

Definition at line 80 of file RecursionRelationTwo.cpp.

References polynomial::DifferentialOperatorTwo::addOperator(), polynomial::DifferentialOperatorTwo::differentiateS(), polynomial::DifferentialOperatorTwo::differentiateX(), highestXorder_m, polynomial::DifferentialOperatorTwo::multiplyPolynomial(), operator_m, and pow().

Referenced by RecursionRelationTwo().

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void polynomial::RecursionRelationTwo::differentiateS ( )

inline

Apply a differential operator in s

Definition at line 177 of file RecursionRelationTwo.h.

References polynomial::DifferentialOperatorTwo::differentiateS(), and operator_m.

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void polynomial::RecursionRelationTwo::differentiateX ( )

inline

Apply a differential operator in x

Definition at line 173 of file RecursionRelationTwo.h.

References polynomial::DifferentialOperatorTwo::differentiateX(), and operator_m.

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double polynomial::RecursionRelationTwo::evaluatePolynomial	(	const double &	x,
		const double &	s,
		const std::size_t &	xDerivative,
		const std::size_t &	sDerivative,
		const std::vector< double > &	dSvalues
	)		const

inline

Evaluates polynomial term p with xDerivative x-derivatives
and sDerivative s-derivatives If xDerivative, sDerivative or term are out or range then zero is returned

Parameters

x	-> Point x where polynomial is evaluated
s	-> Point s where polynomial is evaluated
xDerivative	-> Number of x-derivatives
sDerivative	-> Number of s-derivatives
term	-> Term index

Definition at line 189 of file RecursionRelationTwo.h.

References polynomial::DifferentialOperatorTwo::evaluatePolynomial(), and operator_m.

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std::vector< std::size_t > polynomial::RecursionRelationTwo::getdSfactors	(	const std::size_t &	xDerivative,
		const std::size_t &	sDerivative,
		const std::size_t &	p
	)		const

inline

Returns list of S(s)-derivatives in term p with xDerivative x-derivatives and sDerivative s-derivatives
If xDerivative or sDerivative are out of range an empty list is returned

Parameters

x	-> Number of x-derivatives
s	-> Number of s-derivatives
term	-> Term index

Definition at line 220 of file RecursionRelationTwo.h.

References polynomial::DifferentialOperatorTwo::getdSFactors(), and operator_m.

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std::size_t polynomial::RecursionRelationTwo::getMaxSDerivatives ( ) const

inline

Returns highest derivative of s

Definition at line 185 of file RecursionRelationTwo.h.

References polynomial::DifferentialOperatorTwo::getSDerivatives(), and operator_m.

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std::size_t polynomial::RecursionRelationTwo::getMaxXDerivatives ( ) const

inline

Returns highest derivative of x

Definition at line 181 of file RecursionRelationTwo.h.

References polynomial::DifferentialOperatorTwo::getXDerivatives(), and operator_m.

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bool polynomial::RecursionRelationTwo::isPolynomialZero	(	const std::size_t &	x,
		const std::size_t &	s,
		const std::size_t &	term
	)		const

inline

Check if polynomial term p with x x-derivatives and s s-derivatives is zero
If x, s or term are negative true is returned

Parameters

x	-> Number of x-derivatives
s	-> Number of s-derivatives
term	-> Term index

Definition at line 200 of file RecursionRelationTwo.h.

References polynomial::DifferentialOperatorTwo::isPolynomialZero(), and operator_m.

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std::size_t polynomial::RecursionRelationTwo::numberOfTerms	(	const std::size_t &	xDerivative,
		const std::size_t &	sDerivative
	)		const

inline

Returns number of terms in the sum with xDerivative x-derivatives and sDerivative s-derivatives
If xDerivative or sDerivative is negative zero is returned

Parameters