quadraticEqnI.H

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// * * * * * * * * * * * * * * * * Constructors  * * * * * * * * * * * * * * //

inline Foam::quadraticEqn::quadraticEqn()
{}


inline Foam::quadraticEqn::quadraticEqn(const Foam::zero)
:
    VectorSpace<quadraticEqn, scalar, 3>(Foam::zero())
{}


inline Foam::quadraticEqn::quadraticEqn
(
    const scalar a,
    const scalar b,
    const scalar c
)
{
    this->v_[coefficient::a] = a;
    this->v_[coefficient::b] = b;
    this->v_[coefficient::c] = c;
}


// * * * * * * * * * * * * * * * Member Functions  * * * * * * * * * * * * * //

inline Foam::scalar Foam::quadraticEqn::a() const
{
    return this->v_[coefficient::a];
}


inline Foam::scalar Foam::quadraticEqn::b() const
{
    return this->v_[coefficient::b];
}


inline Foam::scalar Foam::quadraticEqn::c() const
{
    return this->v_[coefficient::c];
}


inline Foam::scalar& Foam::quadraticEqn::a()
{
    return this->v_[coefficient::a];
}


inline Foam::scalar& Foam::quadraticEqn::b()
{
    return this->v_[coefficient::b];
}


inline Foam::scalar& Foam::quadraticEqn::c()
{
    return this->v_[coefficient::c];
}


inline Foam::scalar Foam::quadraticEqn::value(const scalar x) const
{
    return x*(x*a() + b()) + c();
}


inline Foam::scalar Foam::quadraticEqn::derivative(const scalar x) const
{
    return x*2*a() + b();
}


inline Foam::scalar Foam::quadraticEqn::error(const scalar x) const
{
    return
        small*mag(x)*(mag(x*a()) + mag(b()))
      + small*(mag(x*(x*a() + b())) + mag(c()));
}


// ************************************************************************* //