Polynomial templated on size (order): More...

Inheritance diagram for Polynomial< PolySize >:

Collaboration diagram for Polynomial< PolySize >:

Public Types
typedef Polynomial< PolySize >	polyType

typedef Polynomial< PolySize+1 >	intPolyType

Public Types inherited from VectorSpace< Polynomial< PolySize >, scalar, PolySize >
typedef VectorSpace< Polynomial< PolySize >, scalar, Ncmpts >	vsType
	VectorSpace type. More...

typedef scalar	cmptType
	Component type. More...

Public Member Functions
	Polynomial ()
	Construct null, with all coefficients = 0.0. More...

	Polynomial (const scalar coeffs[PolySize])
	Construct from C-array of coefficients. More...

	Polynomial (const UList< scalar > &coeffs)
	Construct from a list of coefficients. More...

	Polynomial (Istream &)
	Construct from Istream. More...

	Polynomial (const word &name, Istream &)
	Construct from name and Istream. More...

bool	logActive () const
	Return true if the log term is active. More...

scalar	logCoeff () const
	Return the log coefficient. More...

scalar	value (const scalar x) const
	Return polynomial value. More...

scalar	derivative (const scalar x) const
	Return derivative of the polynomial at the given x. More...

scalar	integral (const scalar x1, const scalar x2) const
	Return integral between two values. More...

intPolyType	integral (const scalar intConstant=0.0) const
	Return integral coefficients. More...

polyType	integralMinus1 (const scalar intConstant=0.0) const
	Return integral coefficients when lowest order is -1. More...

Public Member Functions inherited from VectorSpace< Polynomial< PolySize >, scalar, PolySize >
	VectorSpace ()
	Construct null. More...

	VectorSpace (const Foam::zero)
	Construct initialised to zero. More...

	VectorSpace (Istream &)
	Construct from Istream. More...

	VectorSpace (const VectorSpace< Form2, Cmpt2, Ncmpts > &)
	Construct as copy of a VectorSpace with the same size. More...

const scalar &	component (const direction) const

scalar &	component (const direction)

void	component (scalar &, const direction) const

void	replace (const direction, const scalar &)

const ConstBlock< SubVector, BStart >	block () const

const VectorSpace< Polynomial< PolySize >, scalar, Ncmpts >::template ConstBlock< SubVector, BStart >	block () const

const scalar &	operator[] (const direction) const

scalar &	operator[] (const direction)

void	operator+= (const VectorSpace< Polynomial< PolySize >, scalar, Ncmpts > &)

void	operator-= (const VectorSpace< Polynomial< PolySize >, scalar, Ncmpts > &)

void	operator= (const Foam::zero)

void	operator*= (const scalar)

void	operator/= (const scalar)

Friends
Ostream &	operator (Ostream &, const Polynomial &)
	Ostream Operator. More...

Additional Inherited Members
Static Public Member Functions inherited from VectorSpace< Polynomial< PolySize >, scalar, PolySize >
static direction	size ()
	Return the number of elements in the VectorSpace = Ncmpts. More...

static Polynomial< PolySize >	uniform (const scalar &s)
	Return a VectorSpace with all elements = s. More...

Public Attributes inherited from VectorSpace< Polynomial< PolySize >, scalar, PolySize >
scalar	v_ [Ncmpts]
	The components of this vector space. More...

Static Public Attributes inherited from VectorSpace< Polynomial< PolySize >, scalar, PolySize >
static const direction	dim
	Dimensionality of space. More...

static const direction	nComponents
	Number of components in this vector space. More...

static const direction	mRows

static const direction	nCols

static const char *const	typeName

static const char *const	componentNames []

static const Polynomial< PolySize >	zero

static const Polynomial< PolySize >	one

static const Polynomial< PolySize >	max

static const Polynomial< PolySize >	min

static const Polynomial< PolySize >	rootMax

static const Polynomial< PolySize >	rootMin

Detailed Description

template<int PolySize>
class Foam::Polynomial< PolySize >

Polynomial templated on size (order):

    poly = sum(coeffs[i]*x^i) + logCoeff*log(x)

where 0 <= i <= N

integer powers, starting at zero
value(x) to evaluate the poly for a given value
derivative(x) returns derivative at value
integral(x1, x2) returns integral between two scalar values
integral() to return a new, integral coeff polynomial
- increases the size (order)
integralMinus1() to return a new, integral coeff polynomial where the base poly starts at order -1

Source files

Definition at line 65 of file Polynomial.H.

Member Typedef Documentation

◆ polyType

typedef Polynomial<PolySize> polyType

Definition at line 98 of file Polynomial.H.

◆ intPolyType

typedef Polynomial<PolySize+1> intPolyType

Definition at line 100 of file Polynomial.H.

Constructor & Destructor Documentation

◆ Polynomial() [1/5]

Polynomial ( )

Construct null, with all coefficients = 0.0.

Definition at line 31 of file Polynomial.C.

◆ Polynomial() [2/5]

Polynomial ( const scalar coeffs[PolySize] )

explicit

Construct from C-array of coefficients.

Definition at line 45 of file Polynomial.C.

◆ Polynomial() [3/5]

Polynomial ( const UList< scalar > & coeffs )

explicit

Construct from a list of coefficients.

Definition at line 59 of file Polynomial.C.

◆ Polynomial() [4/5]

Polynomial ( Istream & is )

Construct from Istream.

Definition at line 81 of file Polynomial.C.

◆ Polynomial() [5/5]

Polynomial	(	const word &	name,
		Istream &	is
	)

Construct from name and Istream.

Definition at line 90 of file Polynomial.C.

Member Function Documentation

◆ logActive()

bool logActive ( ) const

Return true if the log term is active.

Definition at line 120 of file Polynomial.C.

◆ logCoeff()

Foam::scalar logCoeff ( ) const

Return the log coefficient.

Definition at line 127 of file Polynomial.C.

◆ value()

Foam::scalar value ( const scalar x ) const

Return polynomial value.

Definition at line 134 of file Polynomial.C.

◆ derivative()

Foam::scalar derivative ( const scalar x ) const

Return derivative of the polynomial at the given x.

Definition at line 155 of file Polynomial.C.

◆ integral() [1/2]

Foam::scalar integral	(	const scalar	x1,
		const scalar	x2
	)		const

Return integral between two values.

Definition at line 182 of file Polynomial.C.

Referenced by Polynomial< 8 >::derivative().

Here is the caller graph for this function:

◆ integral() [2/2]

Foam::Polynomial< PolySize >::intPolyType integral ( const scalar intConstant = 0.0 ) const

Return integral coefficients.

Argument becomes zero'th element (constant of integration)

Definition at line 209 of file Polynomial.C.

◆ integralMinus1()

Foam::Polynomial< PolySize >::polyType integralMinus1 ( const scalar intConstant = 0.0 ) const

Return integral coefficients when lowest order is -1.

Argument becomes zero'th element (constant of integration)

Definition at line 225 of file Polynomial.C.

Friends And Related Function Documentation

◆ operator

Ostream& operator	(	Ostream &	,
		const Polynomial< PolySize > &
	)

friend

Ostream Operator.

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

src/OpenFOAM/primitives/functions/Polynomial/Polynomial.H
src/OpenFOAM/primitives/functions/Polynomial/Polynomial.C

Public Types

Public Member Functions

Friends

Additional Inherited Members