product_norm.h

// Description: Product norm
// Documentation: norms.txt

#ifndef PASTELMATH_PRODUCT_NORM_H
#define PASTELMATH_PRODUCT_NORM_H

#include "pastel/math/norm/norm_concept.h"
#include "pastel/math/distance/product_distance.h"

namespace Pastel
{

    template <typename Real, typename XNorm, typename YNorm>
    struct Product_Norm
    {
        explicit Product_Norm(
            integer nx,
            const XNorm& xNorm,
            const YNorm& yNorm)
        : nx_(nx)
        , xNorm_(xNorm)
        , yNorm_(yNorm)
        {}

        auto operator()(const Real& distance = 0) const
        {
            auto xDistance = xNorm_(distance);
            auto yDistance = yNorm_();

            return Product_Distance<Real, decltype(xDistance), decltype(yDistance)>(nx_, xDistance, yDistance);
        }

        auto operator[](const Real& distance) const
        {
            auto xDistance = xNorm_(Distance_Native(), distance);
            auto yDistance = yNorm_();

            return Product_Distance<Real, decltype(xDistance), decltype(yDistance)>(nx_, xDistance, yDistance);
        }

        integer nx_;
        XNorm xNorm_;
        YNorm yNorm_;
    };

    template <
        typename Real,
        typename XNorm,
        typename YNorm
    >
    auto productNorm(const XNorm& xNorm, const YNorm& yNorm, integer nx)
    {
        return Product_Norm<Real, XNorm, YNorm>(nx, xNorm, yNorm);
    }

}

#endif