Scalar_.H

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Typedef
    Foam::Scalar

Description
    Single floating point number

SourceFiles
    Scalar.C

\*---------------------------------------------------------------------------*/

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

// template specialisation for pTraits<Scalar>
template<>
class pTraits<Scalar>
{
    Scalar p_;

public:

    //- Component type
    typedef Scalar cmptType;

    // Member constants

        enum
        {
            dim = 3,         // Dimensionality of space
            rank = 0,        // Rank of Scalar is 0
            nComponents = 1  // Number of components in Scalar is 1
        };


    // Static data members

        static const char* const typeName;
        static const char* componentNames[];
        static const Scalar zero;
        static const Scalar one;
        static const Scalar max;
        static const Scalar min;


    // Constructors

        //- Construct from Scalar
        pTraits(const Scalar s)
        {
            p_ = s;
        }

        //- Construct from Istream
        pTraits(Istream&);


    // Member operators

        operator Scalar() const
        {
            return p_;
        }

        operator Scalar&()
        {
            return p_;
        }
};


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

//- Return a string representation of a Scalar
word name(const Scalar);


inline Scalar& setComponent(Scalar& s, const direction)
{
    return s;
}

inline Scalar component(const Scalar s, const direction)
{
    return s;
}

inline Scalar sign(const Scalar s)
{
    return (s >= 0)? 1: -1;
}

inline Scalar pos(const Scalar s)
{
    return (s >= 0)? 1: 0;
}

inline Scalar neg(const Scalar s)
{
    return (s < 0)? 1: 0;
}

inline bool equal(const Scalar& s1, const Scalar& s2)
{
    return mag(s1 - s2) <= ScalarVSMALL;
}

inline bool notEqual(const Scalar s1, const Scalar s2)
{
    return mag(s1 - s2) > ScalarVSMALL;
}

inline Scalar limit(const Scalar s1, const Scalar s2)
{
    return (mag(s1) < mag(s2)) ? s1: 0.0;
}

inline Scalar minMod(const Scalar s1, const Scalar s2)
{
    return (mag(s1) < mag(s2)) ? s1: s2;
}

inline Scalar magSqr(const Scalar s)
{
    return s*s;
}

inline Scalar sqr(const Scalar s)
{
    return s*s;
}

inline Scalar sqrtSumSqr(const Scalar a, const Scalar b)
{
    Scalar maga = mag(a);
    Scalar magb = mag(b);

    if (maga > magb)
    {
        return maga*sqrt(1.0 + sqr(magb/maga));
    }
    else
    {
        return magb < ScalarVSMALL ? 0.0 : magb*sqrt(1.0 + sqr(maga/magb));
    }
}

inline Scalar pow3(const Scalar s)
{
    return s*sqr(s);
}

inline Scalar pow4(const Scalar s)
{
    return sqr(sqr(s));
}

inline Scalar pow5(const Scalar s)
{
    return s*pow4(s);
}

inline Scalar pow6(const Scalar s)
{
    return pow3(sqr(s));
}

inline Scalar inv(const Scalar s)
{
    return 1.0/s;
}

inline Scalar dot(const Scalar s1, const Scalar s2)
{
    return s1*s2;
}

inline Scalar cmptMultiply(const Scalar s1, const Scalar s2)
{
    return s1*s2;
}

inline Scalar cmptDivide(const Scalar s1, const Scalar s2)
{
    return s1/s2;
}

inline Scalar cmptMax(const Scalar s)
{
    return s;
}

inline Scalar cmptMin(const Scalar s)
{
    return s;
}

inline Scalar cmptAv(const Scalar s)
{
    return s;
}

inline Scalar cmptMag(const Scalar s)
{
    return mag(s);
}


// Standard C++ transcendental functions
transFunc(sqrt)
transFunc(cbrt)
transFunc(exp)
transFunc(log)
transFunc(log10)
transFunc(sin)
transFunc(cos)
transFunc(tan)
transFunc(asin)
transFunc(acos)
transFunc(atan)
transFunc(sinh)
transFunc(cosh)
transFunc(tanh)
transFunc(asinh)
transFunc(acosh)
transFunc(atanh)

// Standard ANSI-C (but not in <cmath>) transcendental functions

transFunc(erf)
transFunc(erfc)
transFunc(lgamma)

transFunc(j0)
transFunc(j1)

transFunc(y0)
transFunc(y1)


// Stabilisation around zero for division
inline Scalar stabilise(const Scalar s, const Scalar small)
{
    if (s >= 0)
    {
        return s + small;
    }
    else
    {
        return s - small;
    }
}


// * * * * * * * * * * * * * * * IOstream Operators  * * * * * * * * * * * * //

Scalar readScalar(Istream&);
Istream& operator>>(Istream&, Scalar&);
Ostream& operator<<(Ostream&, const Scalar);


// ************************ vim: set sw=4 sts=4 et: ************************ //