linearEqn.H
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26 
27 Class
28  Foam::linearEqn
29 
30 Description
31  Container to encapsulate various operations for
32  linear equation of the forms with real coefficients:
33 
34  \f[
35  a*x + b = 0
36  x + B = 0
37  \f]
38 
39 See also
40  Test-linearEqn.C
41 
42 SourceFiles
43  linearEqnI.H
44 
45 \*---------------------------------------------------------------------------*/
46 
47 #ifndef linearEqn_H
48 #define linearEqn_H
49 
50 #include "Roots.H"
51 
52 // * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
53 
54 namespace Foam
55 {
56 
57 /*---------------------------------------------------------------------------*\
58  Class linearEqn Declaration
59 \*---------------------------------------------------------------------------*/
60 
61 class linearEqn
62 :
63  public VectorSpace<linearEqn, scalar, 2>
64 {
65 public:
66 
67  //- Component labeling enumeration
68  enum components { A, B };
69 
70 
71  // Constructors
72 
73  //- Construct null
74  inline linearEqn();
75 
76  //- Construct initialized to zero
77  inline linearEqn(const Foam::zero);
78 
79  //- Construct from components
80  inline linearEqn(const scalar a, const scalar b);
81 
82 
83  // Member Functions
84 
85  // Access
86 
87  inline scalar a() const;
88  inline scalar b() const;
89 
90  inline scalar& a();
91  inline scalar& b();
92 
93  // Evaluate
94 
95  //- Evaluate the linear equation at x
96  inline scalar value(const scalar x) const;
97 
98  //- Evaluate the derivative of the linear equation at x
99  inline scalar derivative(const scalar x) const;
100 
101  //- Estimate the error of evaluation of the linear equation at x
102  inline scalar error(const scalar x) const;
103 
104  //- Return the real root of the linear equation
105  inline Roots<1> roots() const;
106 };
107 
108 
109 // * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
110 
111 } // End namespace Foam
112 
113 // * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
114 
115 #include "linearEqnI.H"
116 
117 // * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * * //
118 
119 #endif
120 
121 // ************************************************************************* //
Foam::linearEqn::a
scalar a() const
Definition: linearEqnI.H:50
Foam::linearEqn::A
Definition: linearEqn.H:67
Foam::linearEqn::derivative
scalar derivative(const scalar x) const
Evaluate the derivative of the linear equation at x.
Definition: linearEqnI.H:80
Foam::linearEqn::b
scalar b() const
Definition: linearEqnI.H:56
Foam::linearEqn::B
Definition: linearEqn.H:67
Foam::linearEqn
Container to encapsulate various operations for linear equation of the forms with real coefficients:
Definition: linearEqn.H:60
Foam::VectorSpace
Templated vector space.
Definition: VectorSpace.H:56
Foam::linearEqn::value
scalar value(const scalar x) const
Evaluate the linear equation at x.
Definition: linearEqnI.H:74
Foam::linearEqn::linearEqn
linearEqn()
Construct null.
Definition: linearEqnI.H:31
Foam::linearEqn::components
components
Component labeling enumeration.
Definition: linearEqn.H:67
Roots.H
Foam
Namespace for OpenFOAM.
Definition: atmBoundaryLayer.C:33
Foam::linearEqn::roots
Roots< 1 > roots() const
Return the real root of the linear equation.
Definition: linearEqnI.H:92
linearEqnI.H
Foam::linearEqn::error
scalar error(const scalar x) const
Estimate the error of evaluation of the linear equation at x.
Definition: linearEqnI.H:86
x
x
Definition: LISASMDCalcMethod2.H:52
Foam::Roots
Templated storage for the roots of polynomial equations, plus flags to indicate the nature of the roo...
Definition: Roots.H:70
Foam::zero
A class representing the concept of 0 (zero) that can be used to avoid manipulating objects known to ...
Definition: zero.H:62