cubicEqnI.H
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25 
26 // * * * * * * * * * * * * * * * * Constructors * * * * * * * * * * * * * * //
27 
29 {}
30 
31 
33 :
34  VectorSpace<cubicEqn, scalar, 4>(Foam::zero())
35 {}
36 
37 
39 (
40  const scalar a,
41  const scalar b,
42  const scalar c,
43  const scalar d
44 )
45 {
46  this->v_[coefficient::a] = a;
47  this->v_[coefficient::b] = b;
48  this->v_[coefficient::c] = c;
49  this->v_[coefficient::d] = d;
50 }
51 
52 
53 // * * * * * * * * * * * * * * * Member Functions * * * * * * * * * * * * * //
54 
55 inline Foam::scalar Foam::cubicEqn::a() const
56 {
57  return this->v_[coefficient::a];
58 }
59 
60 
61 inline Foam::scalar Foam::cubicEqn::b() const
62 {
63  return this->v_[coefficient::b];
64 }
65 
66 
67 inline Foam::scalar Foam::cubicEqn::c() const
68 {
69  return this->v_[coefficient::c];
70 }
71 
72 
73 inline Foam::scalar Foam::cubicEqn::d() const
74 {
75  return this->v_[coefficient::d];
76 }
77 
78 
79 inline Foam::scalar& Foam::cubicEqn::a()
80 {
81  return this->v_[coefficient::a];
82 }
83 
84 
85 inline Foam::scalar& Foam::cubicEqn::b()
86 {
87  return this->v_[coefficient::b];
88 }
89 
90 
91 inline Foam::scalar& Foam::cubicEqn::c()
92 {
93  return this->v_[coefficient::c];
94 }
95 
96 
97 inline Foam::scalar& Foam::cubicEqn::d()
98 {
99  return this->v_[coefficient::d];
100 }
101 
102 
103 inline Foam::scalar Foam::cubicEqn::value(const scalar x) const
104 {
105  return x*(x*(x*a() + b()) + c()) + d();
106 }
107 
108 
109 inline Foam::scalar Foam::cubicEqn::derivative(const scalar x) const
110 {
111  return x*(x*3*a() + 2*b()) + c();
112 }
113 
114 
115 inline Foam::scalar Foam::cubicEqn::error(const scalar x) const
116 {
117  return
118  small*magSqr(x)*(mag(x*a()) + mag(b()))
119  + small*mag(x)*(mag(x*(x*a() + b())) + mag(c()))
120  + small*(mag(x*(x*(x*a() + b()) + c())) + mag(d()));
121 }
122 
123 
124 // ************************************************************************* //
Templated vector space.
Definition: VectorSpace.H:79
Cubic equation of the form a*x^3 + b*x^2 + c*x + d = 0.
Definition: cubicEqn.H:52
cubicEqn()
Construct null.
Definition: cubicEqnI.H:28
scalar d() const
Definition: cubicEqnI.H:73
scalar value(const scalar x) const
Evaluate at x.
Definition: cubicEqnI.H:103
scalar c() const
Definition: cubicEqnI.H:67
scalar derivative(const scalar x) const
Evaluate the derivative at x.
Definition: cubicEqnI.H:109
scalar a() const
Definition: cubicEqnI.H:55
scalar b() const
Definition: cubicEqnI.H:61
scalar error(const scalar x) const
Estimate the error of evaluation at x.
Definition: cubicEqnI.H:115
A class representing the concept of 0 used to avoid unnecessary manipulations for objects that are kn...
Definition: zero.H:50
volScalarField & b
Definition: createFields.H:27
const dimensionedScalar c
Speed of light in a vacuum.
Namespace for OpenFOAM.
dimensioned< scalar > mag(const dimensioned< Type > &)
dimensioned< scalar > magSqr(const dimensioned< Type > &)