#include <PolynomialSum.h>

Public Member Functions
	PolynomialSum ()

	PolynomialSum (const TwoPolynomial &polynomial)

	PolynomialSum (const PolynomialSum &polynomialSum)

	~PolynomialSum ()

PolynomialSum &	operator= (const PolynomialSum &sum)

void	differentiateX ()

void	differentiateS ()

void	multiplyPolynomial (const TwoPolynomial &poly)

void	printPolynomial () const

std::size_t	numberOfTerms () const

bool	isPolynomialZero (const std::size_t &p) const

void	truncate (const std::size_t &truncateOrder)

double	evaluatePolynomial (const std::size_t &p, const double &x, const double &s) const

void	putSumTogether (const std::vector< double > &dSvalues, std::vector< std::vector< double >> &finalPolynomial) const

double	evaluatePolynomial2 (const double &x, const double &s, const std::vector< double > &dSvalues) const

void	addPolynomial (const PolynomialSum &poly)

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

void	sortTerms ()

Private Attributes
std::vector< TwoPolynomial >	polynomialSum_m

Detailed Description

Definition at line 52 of file PolynomialSum.h.

Constructor & Destructor Documentation

polynomial::PolynomialSum::PolynomialSum ( )

Default constructor, initialises empty sum

Definition at line 36 of file PolynomialSum.cpp.

polynomial::PolynomialSum::PolynomialSum ( const TwoPolynomial & polynomial )

explicit

Constructor, initialises sum with a single polynomial from input

Parameters

polynomial -> The polynomial sum is initialised with this
polynomial as the first and only term

Definition at line 39 of file PolynomialSum.cpp.

References polynomialSum_m.

polynomial::PolynomialSum::PolynomialSum ( const PolynomialSum & polynomialSum )

Copy constructor

Definition at line 43 of file PolynomialSum.cpp.

polynomial::PolynomialSum::~PolynomialSum ( )

Desctructor, does nothing

Definition at line 47 of file PolynomialSum.cpp.

Member Function Documentation

void polynomial::PolynomialSum::addPolynomial ( const PolynomialSum & poly )

Add poly to the sum by concatenating the lists

Parameters

poly	-> Polynomial that is added to the list

Definition at line 111 of file PolynomialSum.cpp.

References polynomialSum_m.

void polynomial::PolynomialSum::differentiateS ( )

Differentiate each term wrt s

Definition at line 61 of file PolynomialSum.cpp.

References polynomialSum_m.

void polynomial::PolynomialSum::differentiateX ( )

Differentiate each term wrt x

Definition at line 55 of file PolynomialSum.cpp.

References polynomialSum_m.

double polynomial::PolynomialSum::evaluatePolynomial	(	const std::size_t &	p,
		const double &	x,
		const double &	s
	)		const

inline

Evaluate polynomial in term p at the point (x, s)
If p is outside list range zero is returned

Parameters

p	-> Term index, starting with term 0
x	-> Point x where polynomial is evaluated
s	-> Point s where polynomial is evaluated

Definition at line 140 of file PolynomialSum.h.

References polynomialSum_m.

double polynomial::PolynomialSum::evaluatePolynomial2	(	const double &	x,
		const double &	s,
		const std::vector< double > &	dSvalues
	)		const

Evaluate polynomial after putting the sum together into one polynomial

Parameters

x	-> Point x where polynomial is evaluated
s	-> Point s where polynomial is evaluated
dSvalues	-> List of evaluated S(s)-derivatives, starting with zeroth (no) derivative

Definition at line 205 of file PolynomialSum.cpp.

References putSumTogether().

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std::vector< std::size_t > polynomial::PolynomialSum::getdSfactors ( const std::size_t & p ) const

Returns lists of S(s)-derivatives in term p
Returns empty list if p is negative or outside list range

Parameters

p	-> Term index, starting with term 0

Definition at line 123 of file PolynomialSum.cpp.

References polynomialSum_m.

bool polynomial::PolynomialSum::isPolynomialZero ( const std::size_t & p ) const

Check if term p is a zero polynomial
Returns true if p is negative or outside the range of list range

Parameters

p	-> Term index, starting with term 0

Definition at line 96 of file PolynomialSum.cpp.

References polynomialSum_m.

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

Multiply term with input polynomial

Parameters

poly	-> Polynomial to be multiplied with this polynomial

Definition at line 81 of file PolynomialSum.cpp.

References polynomialSum_m.

std::size_t polynomial::PolynomialSum::numberOfTerms ( ) const

inline

Returns number of terms in the sum

Definition at line 136 of file PolynomialSum.h.

References polynomialSum_m.

PolynomialSum & polynomial::PolynomialSum::operator= ( const PolynomialSum & sum )

Assigment operator

Definition at line 50 of file PolynomialSum.cpp.

References polynomialSum_m.

void polynomial::PolynomialSum::printPolynomial ( ) const

Print polynomial, for internal debugging

Definition at line 87 of file PolynomialSum.cpp.

References polynomialSum_m.

void polynomial::PolynomialSum::putSumTogether	(	const std::vector< double > &	dSvalues,
		std::vector< std::vector< double >> &	finalPolynomial
	)		const

Put together all terms in the PolynomialSum by evaluating the
S(s)-derivatives and multiply them with the polynomial coefficients
Polynomial coefficients are now of type double

Parameters

dSvalues	-> List of evaluated S(s)-derivates, starting with zeroth (no) derivative
finalPolynomial	-> Resulting polynomial, must pass an empty vector of vectors into this function

Definition at line 159 of file PolynomialSum.cpp.

References polynomialSum_m.

Referenced by evaluatePolynomial2().

void polynomial::PolynomialSum::sortTerms ( )

Sort polynomialSum_m such that the TwoPolynomial objects with fewest
S(s)-derivatives come first, in ascending order
If any TwoPolynomial objects have identical S(s)-derivatives these are put together by adding the polynomials

Definition at line 132 of file PolynomialSum.cpp.

References polynomialSum_m.

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

Truncate series in x at truncateOrder

Parameters

truncateOrder -> Highest power of x after truncation

Definition at line 105 of file PolynomialSum.cpp.

References polynomialSum_m.