#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

◆ RecursionRelationTwo() [1/3]

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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◆ RecursionRelationTwo() [2/3]

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.

◆ RecursionRelationTwo() [3/3]

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

Copy constructor

Definition at line 60 of file RecursionRelationTwo.cpp.

◆ ~RecursionRelationTwo()

polynomial::RecursionRelationTwo::~RecursionRelationTwo ( )

Desctructor, does nothing

Definition at line 66 of file RecursionRelationTwo.cpp.

Member Function Documentation

◆ applyOperator()

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().

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◆ differentiateS()

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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◆ differentiateX()

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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◆ evaluatePolynomial()

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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◆ getdSfactors()

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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◆ getMaxSDerivatives()

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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◆ getMaxXDerivatives()

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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◆ isPolynomialZero()

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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◆ numberOfTerms()

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

x	-> Number of x-derivatives
s	-> Number of s-derivatives

Definition at line 214 of file RecursionRelationTwo.h.

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

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◆ operator=()

RecursionRelationTwo & polynomial::RecursionRelationTwo::operator= ( const RecursionRelationTwo & recursion )

Assigment operator

Definition at line 69 of file RecursionRelationTwo.cpp.

References highestXorder_m, operator_m, and power_m.

◆ printOperator()

void polynomial::RecursionRelationTwo::printOperator ( ) const

Print operator, used for internal debugging

◆ resizeS()

void polynomial::RecursionRelationTwo::resizeS ( const std::size_t & sDerivatives )

inline

Change number of s-derivatives to sDerivatives

Parameters

sDerivatives -> Number of s-derivatives after resize

Definition at line 210 of file RecursionRelationTwo.h.

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

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◆ resizeX()

void polynomial::RecursionRelationTwo::resizeX ( const std::size_t & xDerivatives )

inline

Change number of x-derivatives to xDerivatives

Parameters

xDerivatives -> Number of x-derivatives after resize

Definition at line 206 of file RecursionRelationTwo.h.

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

Referenced by MultipoleTCurvedVarRadius::setMaxOrder(), and MultipoleT::setMaxOrder().

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◆ sortTerms()

void polynomial::RecursionRelationTwo::sortTerms ( )

inline

Sort the terms in each sum, with fewest S(s)-derivatives first, then in increasing powers

Definition at line 227 of file RecursionRelationTwo.h.

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

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◆ truncate()

void polynomial::RecursionRelationTwo::truncate ( std::size_t highestXorder )

inline

Truncate series in x at highestXorder

Parameters

highestXorder -> Highest power of x after truncation

Definition at line 168 of file RecursionRelationTwo.h.

References highestXorder_m, operator_m, and polynomial::DifferentialOperatorTwo::truncate().

Referenced by MultipoleTCurvedVarRadius::setMaxOrder(), and MultipoleT::setMaxOrder().

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Member Data Documentation

◆ highestXorder_m

std::size_t polynomial::RecursionRelationTwo::highestXorder_m

private

Definition at line 160 of file RecursionRelationTwo.h.

Referenced by applyOperator(), operator=(), and truncate().

◆ operator_m

DifferentialOperatorTwo polynomial::RecursionRelationTwo::operator_m

private

Definition at line 158 of file RecursionRelationTwo.h.

Referenced by applyOperator(), differentiateS(), differentiateX(), evaluatePolynomial(), getdSfactors(), getMaxSDerivatives(), getMaxXDerivatives(), isPolynomialZero(), numberOfTerms(), operator=(), RecursionRelationTwo(), resizeS(), resizeX(), sortTerms(), and truncate().

◆ power_m

std::size_t polynomial::RecursionRelationTwo::power_m

private

Definition at line 159 of file RecursionRelationTwo.h.

Referenced by operator=().

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

/Users/gsell/src/OPAL/src/src/Classic/AbsBeamline/MultipoleTFunctions/RecursionRelationTwo.h
/Users/gsell/src/OPAL/src/src/Classic/AbsBeamline/MultipoleTFunctions/RecursionRelationTwo.cpp

Public Member Functions

Private Attributes

Detailed Description

Constructor & Destructor Documentation

◆ RecursionRelationTwo() [1/3]

◆ RecursionRelationTwo() [2/3]

◆ RecursionRelationTwo() [3/3]

◆ ~RecursionRelationTwo()

Member Function Documentation

◆ applyOperator()

◆ differentiateS()

◆ differentiateX()

◆ evaluatePolynomial()

◆ getdSfactors()

◆ getMaxSDerivatives()

◆ getMaxXDerivatives()

◆ isPolynomialZero()

◆ numberOfTerms()

◆ operator=()

◆ printOperator()

◆ resizeS()

◆ resizeX()

◆ sortTerms()

◆ truncate()

Member Data Documentation

◆ highestXorder_m

◆ operator_m

◆ power_m