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quadraticEqn Class Reference

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

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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
 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 scalar)
 
void operator/= (const scalar)
 

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
 

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

Get the roots.

Definition at line 31 of file quadraticEqn.C.

References quadraticEqn::a(), quadraticEqn::b(), quadraticEqn::c(), Foam::complex, Foam::nan, 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: