Linear equation of the form a*x + b = 0. More...


Public Types | |
| enum | components { A, B } |
| Component labeling enumeration. More... | |
Public Types inherited from VectorSpace< linearEqn, scalar, 2 > | |
| typedef VectorSpace< linearEqn, scalar, Ncmpts > | vsType |
| VectorSpace type. More... | |
| typedef scalar | cmptType |
| Component type. More... | |
Public Member Functions | |
| linearEqn () | |
| Construct null. More... | |
| linearEqn (const Foam::zero) | |
| Construct initialized to zero. More... | |
| linearEqn (const scalar a, const scalar b) | |
| Construct from components. More... | |
| scalar | a () const |
| scalar | b () const |
| scalar & | a () |
| scalar & | b () |
| 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< 1 > | roots () const |
| Get the roots. More... | |
Public Member Functions inherited from VectorSpace< linearEqn, scalar, 2 > | |
| VectorSpace () | |
| Construct null. More... | |
| VectorSpace (const Foam::zero) | |
| Construct initialized to zero. More... | |
| VectorSpace (Istream &) | |
| Construct from Istream. More... | |
| VectorSpace (const VectorSpace< linearEqn, scalar, Ncmpts > &) | |
| Construct as copy. 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< linearEqn, scalar, Ncmpts >::template ConstBlock< SubVector, BStart > | block () const |
| const scalar & | operator[] (const direction) const |
| scalar & | operator[] (const direction) |
| void | operator= (const VectorSpace< linearEqn, scalar, Ncmpts > &) |
| void | operator= (const Foam::zero) |
| void | operator+= (const VectorSpace< linearEqn, scalar, Ncmpts > &) |
| void | operator-= (const VectorSpace< linearEqn, scalar, Ncmpts > &) |
| void | operator*= (const scalar) |
| void | operator/= (const scalar) |
Additional Inherited Members | |
Static Public Member Functions inherited from VectorSpace< linearEqn, scalar, 2 > | |
| static direction | size () |
| Return the number of elements in the VectorSpace = Ncmpts. More... | |
| static linearEqn | uniform (const scalar &s) |
| Return a VectorSpace with all elements = s. More... | |
Public Attributes inherited from VectorSpace< linearEqn, scalar, 2 > | |
| scalar | v_ [Ncmpts] |
| The components of this vector space. More... | |
Static Public Attributes inherited from VectorSpace< linearEqn, scalar, 2 > | |
| 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 linearEqn | zero |
| static const linearEqn | one |
| static const linearEqn | max |
| static const linearEqn | min |
| static const linearEqn | rootMax |
| static const linearEqn | rootMin |
| enum components |
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Construct null.
Definition at line 28 of file linearEqnI.H.
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inline |
Construct initialized to zero.
Definition at line 32 of file linearEqnI.H.
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Construct from components.
Definition at line 38 of file linearEqnI.H.
References linearEqn::A, linearEqn::a(), linearEqn::B, linearEqn::b(), and VectorSpace< linearEqn, scalar, 2 >::v_.

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inline |
Definition at line 47 of file linearEqnI.H.
References linearEqn::A, and VectorSpace< linearEqn, scalar, 2 >::v_.
Referenced by linearEqn::derivative(), linearEqn::error(), linearEqn::linearEqn(), linearEqn::roots(), and linearEqn::value().

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inline |
Definition at line 53 of file linearEqnI.H.
References linearEqn::B, and VectorSpace< linearEqn, scalar, 2 >::v_.
Referenced by linearEqn::linearEqn(), linearEqn::roots(), and linearEqn::value().

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inline |
Definition at line 59 of file linearEqnI.H.
References linearEqn::A, and VectorSpace< linearEqn, scalar, 2 >::v_.
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inline |
Definition at line 65 of file linearEqnI.H.
References linearEqn::B, and VectorSpace< linearEqn, scalar, 2 >::v_.
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Evaluate at x.
Definition at line 71 of file linearEqnI.H.
References linearEqn::a(), and linearEqn::b().

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Evaluate the derivative at x.
Definition at line 77 of file linearEqnI.H.
References linearEqn::a().

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Estimate the error of evaluation at x.
Definition at line 83 of file linearEqnI.H.
References linearEqn::a(), and Foam::mag().

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Get the roots.
Definition at line 89 of file linearEqnI.H.
References linearEqn::a(), linearEqn::b(), Foam::mag(), Foam::roots::nan, Foam::roots::negInf, Foam::roots::posInf, Foam::roots::real, and Foam::sign().
Referenced by quadraticEqn::roots(), and cubicEqn::roots().


1.8.13