Quadratic equation of the form a*x^2 + b*x + c = 0. More...

Inheritance diagram for quadraticEqn:

Collaboration diagram for quadraticEqn:

Classes
struct	coefficient
	Coefficient indexing enumeration. More...

Public Member Functions
	quadraticEqn ()
	Construct null. More...

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

	quadraticEqn (const scalar a, const scalar b, const scalar c)
	Construct from components. More...

scalar	a () const

scalar	b () const

scalar	c () const

scalar &	a ()

scalar &	b ()

scalar &	c ()

scalar	value (const scalar x) const
	Evaluate at x. More...

scalar	derivative (const scalar x) const
	Evaluate the derivative at x. More...

scalar	error (const scalar x) const
	Estimate the error of evaluation at x. More...

Roots< 2 >	roots (const bool real=false) const
	Get the roots. More...

Public Member Functions inherited from VectorSpace< quadraticEqn, scalar, 3 >
	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< quadraticEqn, scalar, Ncmpts >::template ConstBlock< SubVector, BStart >	block () const

const scalar &	operator[] (const direction) const

scalar &	operator[] (const direction)

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

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

void	operator= (const Foam::zero)

void	operator*= (const Type)

void	operator/= (const Type)

Additional Inherited Members
Public Types inherited from VectorSpace< quadraticEqn, scalar, 3 >
typedef VectorSpace< quadraticEqn, scalar, Ncmpts >	vsType
	VectorSpace type. More...

typedef scalar	cmptType
	Component type. More...

Static Public Member Functions inherited from VectorSpace< quadraticEqn, scalar, 3 >
static direction	size ()
	Return the number of elements in the VectorSpace = Ncmpts. More...

static quadraticEqn	uniform (const scalar &s)
	Return a VectorSpace with all elements = s. More...

Public Attributes inherited from VectorSpace< quadraticEqn, scalar, 3 >
scalar	v_ [Ncmpts]
	The components of this vector space. More...

Static Public Attributes inherited from VectorSpace< quadraticEqn, scalar, 3 >
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 quadraticEqn	zero

static const quadraticEqn	one

static const quadraticEqn	max

static const quadraticEqn	min

static const quadraticEqn	rootMax

static const quadraticEqn	rootMin

static const quadraticEqn	nan

Detailed Description

Quadratic equation of the form a*x^2 + b*x + c = 0.

Source files

Definition at line 49 of file quadraticEqn.H.

Constructor & Destructor Documentation

◆ quadraticEqn() [1/3]

quadraticEqn ( )

inline

Construct null.

Definition at line 28 of file quadraticEqnI.H.

◆ quadraticEqn() [2/3]

quadraticEqn ( const Foam::zero )

inline

Construct initialised to zero.

Definition at line 32 of file quadraticEqnI.H.

◆ quadraticEqn() [3/3]

quadraticEqn	(	const scalar	a,
		const scalar	b,
		const scalar	c
	)

inline

Construct from components.

Definition at line 38 of file quadraticEqnI.H.

References b, and Foam::constant::universal::c.

Member Function Documentation

◆ a() [1/2]

Foam::scalar a ( ) const

inline

Definition at line 53 of file quadraticEqnI.H.

Referenced by quadraticEqn::roots().

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◆ b() [1/2]

Foam::scalar b ( ) const

inline

Definition at line 59 of file quadraticEqnI.H.

References b.

Referenced by quadraticEqn::roots().

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◆ c() [1/2]

Foam::scalar c ( ) const

inline

Definition at line 65 of file quadraticEqnI.H.

References Foam::constant::universal::c.

Referenced by quadraticEqn::roots().

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◆ a() [2/2]

Foam::scalar & a ( )

inline

Definition at line 71 of file quadraticEqnI.H.

◆ b() [2/2]

Foam::scalar & b ( )

inline

Definition at line 77 of file quadraticEqnI.H.

References b.

◆ c() [2/2]

Foam::scalar & c ( )

inline

Definition at line 83 of file quadraticEqnI.H.

References Foam::constant::universal::c.

◆ value()

Foam::scalar value ( const scalar x ) const

inline

Evaluate at x.

Definition at line 89 of file quadraticEqnI.H.

References b, Foam::constant::universal::c, and x.

◆ derivative()

Foam::scalar derivative ( const scalar x ) const

inline

Evaluate the derivative at x.

Definition at line 95 of file quadraticEqnI.H.

References b, and x.

◆ error()

Foam::scalar error ( const scalar x ) const

inline

Estimate the error of evaluation at x.

Definition at line 101 of file quadraticEqnI.H.

References b, Foam::constant::universal::c, Foam::mag(), and x.

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◆ roots()

Foam::Roots< 2 > roots ( const bool real = false ) const

Get the roots.

Set real true if the roots are known to be real even if round-off error might cause them to be complex

Definition at line 31 of file quadraticEqn.C.

References quadraticEqn::a(), quadraticEqn::b(), quadraticEqn::c(), Foam::complex, Foam::nan, Foam::real, linearEqn::roots(), Foam::sign(), Foam::sqrt(), and x.

Referenced by Foam::eigenValues(), and unintegrable::sampleInterval().

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

src/OpenFOAM/primitives/polynomialEqns/quadraticEqn/quadraticEqn.H
src/OpenFOAM/primitives/polynomialEqns/quadraticEqn/quadraticEqn.C
src/OpenFOAM/primitives/polynomialEqns/quadraticEqn/quadraticEqnI.H

Classes

Public Member Functions

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ quadraticEqn() [1/3]

◆ quadraticEqn() [2/3]

◆ quadraticEqn() [3/3]

Member Function Documentation

◆ a() [1/2]

◆ b() [1/2]

◆ c() [1/2]

◆ a() [2/2]

◆ b() [2/2]

◆ c() [2/2]

◆ value()

◆ derivative()

◆ error()

◆ roots()