products.H

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/*---------------------------------------------------------------------------*\
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    \\  /    A nd           | Copyright (C) 2011-2018 OpenFOAM Foundation
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License
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    OpenFOAM is free software: you can redistribute it and/or modify it
    under the terms of the GNU General Public License as published by
    the Free Software Foundation, either version 3 of the License, or
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    for more details.

    You should have received a copy of the GNU General Public License
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InNamespace
    Foam

Description
    Traits classes for inner and outer products of primitives.

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

#ifndef products_H
#define products_H

#include "pTraits.H"

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

namespace Foam
{

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

//- Abstract template class to provide the form resulting from
//  the inner-product of two forms
template<class Cmpt, class Form1, class Form2>
class typeOfInnerProduct
{};

//- Abstract template class to provide the form resulting from
//  the outer-product of two forms
template<class Cmpt, class Form1, class Form2>
class typeOfOuterProduct
{};

//- Abstract template class to provide the transpose form of a form
template<class Cmpt, class Form>
class typeOfTranspose
{};


template<class Cmpt, direction rank>
class typeOfRank
{};


template<class Cmpt, direction rank>
class symmTypeOfRank
{};


template<class arg1, class arg2>
class typeOfSum
{
public:

    typedef arg1 type;
};


template<class arg1, class arg2>
class outerProduct
{
public:

    typedef typename typeOfRank
    <
        typename pTraits<arg1>::cmptType,
        direction(pTraits<arg1>::rank) + direction(pTraits<arg2>::rank)
    >::type type;
};


template<class arg1, class arg2>
class crossProduct
{
public:

    typedef typename typeOfRank
    <
        typename pTraits<arg2>::cmptType,
        direction(pTraits<arg1>::rank) + direction(pTraits<arg2>::rank) - 1
    >::type type;
};

template<class arg1, class arg2>
class innerProduct
{
public:

    typedef typename typeOfRank
    <
        typename pTraits<arg1>::cmptType,
        direction(pTraits<arg1>::rank) + direction(pTraits<arg2>::rank) - 2
    >::type type;
};

template<class arg1, class arg2>
class scalarProduct
{
public:

    typedef typename pTraits<arg1>::cmptType type;
};


template<class arg1, direction arg2>
class powProduct
{
public:

    typedef typename symmTypeOfRank
    <
        typename pTraits<arg1>::cmptType,
        arg2*direction(pTraits<arg1>::rank)
    >::type type;
};


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

} // End namespace Foam

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

#endif

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