#include <DifferentialOperatorTwo.h>

Public Member Functions
	DifferentialOperatorTwo ()

	DifferentialOperatorTwo (const std::size_t &xDerivatives, const std::size_t &sDerivatives)

	DifferentialOperatorTwo (const DifferentialOperatorTwo &doperator)

	~DifferentialOperatorTwo ()

DifferentialOperatorTwo &	operator= (const DifferentialOperatorTwo &doperator)

void	resizeX (const std::size_t &xDerivatives)

void	resizeS (const std::size_t &sDerivatives)

void	differentiateX ()

void	differentiateS ()

void	multiplyPolynomial (const TwoPolynomial &poly)

void	setPolynomial (const TwoPolynomial &poly, const std::size_t &x, const std::size_t &s)

void	printOperator () const

void	addOperator (const DifferentialOperatorTwo &doperator)

std::size_t	getXDerivatives () const

std::size_t	getSDerivatives () const

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

void	truncate (const std::size_t &truncateOrder)

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

std::size_t	numberOfTerms (const std::size_t &xDerivatives, const std::size_t &sDerivatives) const

std::vector< std::size_t >	getdSFactors (const std::size_t &xDerivatives, const std::size_t &sDerivatives, const std::size_t &p) const

void	sortTerms ()

Private Attributes
std::vector< std::vector< PolynomialSum > >	polynomials_m

std::size_t	xDerivatives_m

std::size_t	sDerivatives_m

Detailed Description

Definition at line 54 of file DifferentialOperatorTwo.h.

Constructor & Destructor Documentation

◆ DifferentialOperatorTwo() [1/3]

polynomial::DifferentialOperatorTwo::DifferentialOperatorTwo ( )

Default constructor, initialises identity operator

Definition at line 36 of file DifferentialOperatorTwo.cpp.

References polynomials_m.

◆ DifferentialOperatorTwo() [2/3]

polynomial::DifferentialOperatorTwo::DifferentialOperatorTwo	(	const std::size_t &	xDerivatives,
		const std::size_t &	sDerivatives
	)

Constructor, initialises operator with zero polynomials and derivatives up to xDerivatives in x and sDerivatives in s

Parameters

xDerivatives	-> Highest x-derivative
sDerivatives	-> Highest s-derivative

Definition at line 46 of file DifferentialOperatorTwo.cpp.

References polynomials_m, sDerivatives_m, and xDerivatives_m.

◆ DifferentialOperatorTwo() [3/3]

polynomial::DifferentialOperatorTwo::DifferentialOperatorTwo ( const DifferentialOperatorTwo & doperator )

Copy constructor

Definition at line 56 of file DifferentialOperatorTwo.cpp.

◆ ~DifferentialOperatorTwo()

polynomial::DifferentialOperatorTwo::~DifferentialOperatorTwo ( )

Destructor

Definition at line 63 of file DifferentialOperatorTwo.cpp.

Member Function Documentation

◆ addOperator()

void polynomial::DifferentialOperatorTwo::addOperator ( const DifferentialOperatorTwo & doperator )

Add the doperator to operator, term by term

Parameters

doperator -> Differential operator to be added

Definition at line 154 of file DifferentialOperatorTwo.cpp.

References polynomials_m, resizeS(), resizeX(), sDerivatives_m, and xDerivatives_m.

Referenced by polynomial::RecursionRelationTwo::applyOperator().

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◆ differentiateS()

void polynomial::DifferentialOperatorTwo::differentiateS ( )

Differentiate wrt s using product rule

Definition at line 104 of file DifferentialOperatorTwo.cpp.

References polynomials_m, resizeS(), sDerivatives_m, and xDerivatives_m.

Referenced by polynomial::RecursionRelationTwo::applyOperator(), and polynomial::RecursionRelationTwo::differentiateS().

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◆ differentiateX()

void polynomial::DifferentialOperatorTwo::differentiateX ( )

Differentiate wrt x using product rule

Definition at line 92 of file DifferentialOperatorTwo.cpp.

References polynomials_m, resizeX(), sDerivatives_m, and xDerivatives_m.

Referenced by polynomial::RecursionRelationTwo::applyOperator(), and polynomial::RecursionRelationTwo::differentiateX().

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◆ evaluatePolynomial()

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

Evaluate polynomial specified

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 187 of file DifferentialOperatorTwo.cpp.

References polynomials_m, sDerivatives_m, and xDerivatives_m.

Referenced by polynomial::RecursionRelationTwo::evaluatePolynomial().

◆ getdSFactors()

std::vector< std::size_t > polynomial::DifferentialOperatorTwo::getdSFactors	(	const std::size_t &	xDerivatives,
		const std::size_t &	sDerivatives,
		const std::size_t &	p
	)		const

Returns list of S(s)-derivatives from term p in polynomial with xDerivatives x-derivatives and sDerivatives s-derivatives
If xDerivatives or sDerivatives are out of range an empty vector is returned

Parameters

xDerivatives	-> Number of x-derivatives
sDerivatives	-> Number of s-derivatives
p	-> Term index, starting with term 0

Definition at line 209 of file DifferentialOperatorTwo.cpp.

References polynomials_m, sDerivatives_m, and xDerivatives_m.

Referenced by polynomial::RecursionRelationTwo::getdSfactors().

◆ getSDerivatives()

std::size_t polynomial::DifferentialOperatorTwo::getSDerivatives ( ) const

inline

Returns highest derivative in s

Definition at line 167 of file DifferentialOperatorTwo.h.

References sDerivatives_m.

Referenced by polynomial::RecursionRelationTwo::getMaxSDerivatives().

◆ getXDerivatives()

std::size_t polynomial::DifferentialOperatorTwo::getXDerivatives ( ) const

inline

Returns highest derivative in x

Definition at line 163 of file DifferentialOperatorTwo.h.

References xDerivatives_m.

Referenced by polynomial::RecursionRelationTwo::getMaxXDerivatives().

◆ isPolynomialZero()

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

Check if polynomial with x x-derivaties and s s-derivatives is a zero polynomial
If x or s are out of range, true is returned

Parameters

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

Definition at line 169 of file DifferentialOperatorTwo.cpp.

References polynomials_m, sDerivatives_m, and xDerivatives_m.

Referenced by polynomial::RecursionRelationTwo::isPolynomialZero(), and printOperator().

◆ multiplyPolynomial()

void polynomial::DifferentialOperatorTwo::multiplyPolynomial ( const TwoPolynomial & poly )

Multiplies each term with given polynomial

Parameters

poly	-> Polynomial that is multiplied with this polynomial

Definition at line 116 of file DifferentialOperatorTwo.cpp.

References polynomials_m, sDerivatives_m, and xDerivatives_m.

Referenced by polynomial::RecursionRelationTwo::applyOperator().

◆ numberOfTerms()

std::size_t polynomial::DifferentialOperatorTwo::numberOfTerms	(	const std::size_t &	xDerivatives,
		const std::size_t &	sDerivatives
	)		const

Returns number of terms in the sum with xDerivatives x-derivatives and sDerivatives s-derivatives
If xDerivative or sDerivative are out of range zero is returned

Parameters

xDerivatives	-> Number of x-derivatives
sDerivatives	-> Number of s-derivatives

Definition at line 200 of file DifferentialOperatorTwo.cpp.

References polynomials_m, sDerivatives_m, and xDerivatives_m.

Referenced by polynomial::RecursionRelationTwo::numberOfTerms(), and printOperator().

◆ operator=()

DifferentialOperatorTwo & polynomial::DifferentialOperatorTwo::operator= ( const DifferentialOperatorTwo & doperator )

Assigment operator

Definition at line 66 of file DifferentialOperatorTwo.cpp.

References polynomials_m, sDerivatives_m, and xDerivatives_m.

◆ printOperator()

void polynomial::DifferentialOperatorTwo::printOperator ( ) const

Print operator, for internal debugging

Definition at line 136 of file DifferentialOperatorTwo.cpp.

References endl(), isPolynomialZero(), numberOfTerms(), polynomials_m, sDerivatives_m, and xDerivatives_m.

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◆ resizeS()

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

Set highest derivative in s to xDerivatives

Parameters

sDerivatives -> Highest s-derivative

Definition at line 85 of file DifferentialOperatorTwo.cpp.

References polynomials_m, sDerivatives_m, and xDerivatives_m.

Referenced by addOperator(), differentiateS(), polynomial::RecursionRelationTwo::resizeS(), and setPolynomial().

◆ resizeX()

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

Set highest derivative in x to xDerivatives111

Parameters

xDerivatives -> Highest x-derivative

Definition at line 74 of file DifferentialOperatorTwo.cpp.

References polynomials_m, sDerivatives_m, and xDerivatives_m.

Referenced by addOperator(), differentiateX(), polynomial::RecursionRelationTwo::resizeX(), and setPolynomial().

◆ setPolynomial()

void polynomial::DifferentialOperatorTwo::setPolynomial	(	const TwoPolynomial &	poly,
		const std::size_t &	x,
		const std::size_t &	s
	)

Assign the polynomial poly to the operator

Parameters

poly	-> Polynomial to be assigned
x	-> Number of x-derivatives
s	-> Numbe of s-derivatives

Definition at line 124 of file DifferentialOperatorTwo.cpp.

References polynomials_m, resizeS(), resizeX(), sDerivatives_m, and xDerivatives_m.

Referenced by polynomial::RecursionRelationTwo::RecursionRelationTwo().

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◆ sortTerms()

void polynomial::DifferentialOperatorTwo::sortTerms ( )

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

Definition at line 220 of file DifferentialOperatorTwo.cpp.

References polynomials_m, sDerivatives_m, and xDerivatives_m.

Referenced by polynomial::RecursionRelationTwo::sortTerms().

◆ truncate()

void polynomial::DifferentialOperatorTwo::truncate ( const std::size_t & truncateOrder )

Truncate all polynomials to truncateOrder

Parameters

truncateOrder -> Highest order of x after truncation

Definition at line 178 of file DifferentialOperatorTwo.cpp.

References polynomials_m, sDerivatives_m, and xDerivatives_m.

Referenced by polynomial::RecursionRelationTwo::truncate().

Member Data Documentation

◆ polynomials_m

std::vector<std::vector<PolynomialSum> > polynomial::DifferentialOperatorTwo::polynomials_m

private

Definition at line 157 of file DifferentialOperatorTwo.h.

Referenced by addOperator(), DifferentialOperatorTwo(), differentiateS(), differentiateX(), evaluatePolynomial(), getdSFactors(), isPolynomialZero(), multiplyPolynomial(), numberOfTerms(), operator=(), printOperator(), resizeS(), resizeX(), setPolynomial(), sortTerms(), and truncate().

◆ sDerivatives_m

std::size_t polynomial::DifferentialOperatorTwo::sDerivatives_m

private

Definition at line 159 of file DifferentialOperatorTwo.h.

Referenced by addOperator(), DifferentialOperatorTwo(), differentiateS(), differentiateX(), evaluatePolynomial(), getdSFactors(), getSDerivatives(), isPolynomialZero(), multiplyPolynomial(), numberOfTerms(), operator=(), printOperator(), resizeS(), resizeX(), setPolynomial(), sortTerms(), and truncate().

◆ xDerivatives_m

std::size_t polynomial::DifferentialOperatorTwo::xDerivatives_m

private

Definition at line 158 of file DifferentialOperatorTwo.h.

Referenced by addOperator(), DifferentialOperatorTwo(), differentiateS(), differentiateX(), evaluatePolynomial(), getdSFactors(), getXDerivatives(), isPolynomialZero(), multiplyPolynomial(), numberOfTerms(), operator=(), printOperator(), resizeS(), resizeX(), setPolynomial(), sortTerms(), and truncate().

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

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

Public Member Functions

Private Attributes

Detailed Description

Constructor & Destructor Documentation

◆ DifferentialOperatorTwo() [1/3]

◆ DifferentialOperatorTwo() [2/3]

◆ DifferentialOperatorTwo() [3/3]

◆ ~DifferentialOperatorTwo()

Member Function Documentation

◆ addOperator()

◆ differentiateS()

◆ differentiateX()

◆ evaluatePolynomial()

◆ getdSFactors()

◆ getSDerivatives()

◆ getXDerivatives()

◆ isPolynomialZero()

◆ multiplyPolynomial()

◆ numberOfTerms()

◆ operator=()

◆ printOperator()

◆ resizeS()

◆ resizeX()

◆ setPolynomial()

◆ sortTerms()

◆ truncate()

Member Data Documentation

◆ polynomials_m

◆ sDerivatives_m

◆ xDerivatives_m