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Filename : distance_pythagoras_box_box.hpp
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// Boost.Geometry (aka GGL, Generic Geometry Library)

// Copyright (c) 2008-2014 Bruno Lalande, Paris, France.
// Copyright (c) 2008-2014 Barend Gehrels, Amsterdam, the Netherlands.
// Copyright (c) 2009-2014 Mateusz Loskot, London, UK.

// This file was modified by Oracle on 2014, 2018.
// Modifications copyright (c) 2014, 2018, Oracle and/or its affiliates.

// Contributed and/or modified by Menelaos Karavelas, on behalf of Oracle
// Contributed and/or modified by Adam Wulkiewicz, on behalf of Oracle

// Parts of Boost.Geometry are redesigned from Geodan's Geographic Library
// (geolib/GGL), copyright (c) 1995-2010 Geodan, Amsterdam, the Netherlands.

// Use, modification and distribution is subject to the Boost Software License,
// Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at
// http://www.boost.org/LICENSE_1_0.txt)

#ifndef BOOST_GEOMETRY_STRATEGIES_CARTESIAN_DISTANCE_PYTHAGORAS_BOX_BOX_HPP
#define BOOST_GEOMETRY_STRATEGIES_CARTESIAN_DISTANCE_PYTHAGORAS_BOX_BOX_HPP


#include <boost/geometry/core/access.hpp>
#include <boost/geometry/core/point_type.hpp>

#include <boost/geometry/geometries/concepts/point_concept.hpp>

#include <boost/geometry/strategies/distance.hpp>

#include <boost/geometry/util/math.hpp>
#include <boost/geometry/util/calculation_type.hpp>



namespace boost { namespace geometry
{

namespace strategy { namespace distance
{

#ifndef DOXYGEN_NO_DETAIL
namespace detail
{

template <std::size_t I>
struct compute_pythagoras_box_box
{
    template <typename Box1, typename Box2, typename T>
    static inline void apply(Box1 const& box1, Box2 const& box2, T& result)
    {
        T const b1_min_coord =
            boost::numeric_cast<T>(geometry::get<min_corner, I-1>(box1));
        T const b1_max_coord =
            boost::numeric_cast<T>(geometry::get<max_corner, I-1>(box1));

        T const b2_min_coord =
            boost::numeric_cast<T>(geometry::get<min_corner, I-1>(box2));
        T const b2_max_coord =
            boost::numeric_cast<T>(geometry::get<max_corner, I-1>(box2));

        if ( b1_max_coord < b2_min_coord )
        {
            T diff = b2_min_coord - b1_max_coord;
            result += diff * diff;
        }
        if ( b1_min_coord > b2_max_coord )
        {
            T diff = b1_min_coord - b2_max_coord;
            result += diff * diff;
        }

        compute_pythagoras_box_box<I-1>::apply(box1, box2, result);
    }
};

template <>
struct compute_pythagoras_box_box<0>
{
    template <typename Box1, typename Box2, typename T>
    static inline void apply(Box1 const&, Box2 const&, T&)
    {
    }
};

}
#endif // DOXYGEN_NO_DETAIL


namespace comparable
{

/*!
\brief Strategy to calculate comparable distance between two boxes
\ingroup strategies
\tparam Box1 \tparam_first_box
\tparam Box2 \tparam_second_box
\tparam CalculationType \tparam_calculation
*/
template <typename CalculationType = void>
class pythagoras_box_box
{
public :

    template <typename Box1, typename Box2>
    struct calculation_type
    {
        typedef typename util::calculation_type::geometric::binary
            <
                Box1,
                Box2,
                CalculationType
            >::type type;
    };

    template <typename Box1, typename Box2>
    static inline typename calculation_type<Box1, Box2>::type
    apply(Box1 const& box1, Box2 const& box2)
    {
        BOOST_CONCEPT_ASSERT
            ( (concepts::ConstPoint<typename point_type<Box1>::type>) );
        BOOST_CONCEPT_ASSERT
            ( (concepts::ConstPoint<typename point_type<Box2>::type>) );

        // Calculate distance using Pythagoras
        // (Leave comment above for Doxygen)

        assert_dimension_equal<Box1, Box2>();

        typename calculation_type<Box1, Box2>::type result(0);
        
        detail::compute_pythagoras_box_box
            <
                dimension<Box1>::value
            >::apply(box1, box2, result);

        return result;
    }
};

} // namespace comparable


/*!
\brief Strategy to calculate the distance between two boxes
\ingroup strategies
\tparam CalculationType \tparam_calculation

\qbk{
[heading Notes]
[note Can be used for boxes with two\, three or more dimensions]
[heading See also]
[link geometry.reference.algorithms.distance.distance_3_with_strategy distance (with strategy)]
}

*/
template
<
    typename CalculationType = void
>
class pythagoras_box_box
{
public :

    template <typename Box1, typename Box2>
    struct calculation_type
        : util::calculation_type::geometric::binary
          <
              Box1,
              Box2,
              CalculationType,
              double,
              double // promote integer to double
          >
    {};

    /*!
    \brief applies the distance calculation using pythagoras_box_box
    \return the calculated distance (including taking the square root)
    \param box1 first box
    \param box2 second box
    */
    template <typename Box1, typename Box2>
    static inline typename calculation_type<Box1, Box2>::type
    apply(Box1 const& box1, Box2 const& box2)
    {
        // The cast is necessary for MSVC which considers sqrt __int64 as an ambiguous call
        return math::sqrt
            (
                 boost::numeric_cast<typename calculation_type
                     <
                         Box1, Box2
                     >::type>
                    (
                        comparable::pythagoras_box_box
                            <
                                CalculationType
                            >::apply(box1, box2)
                    )
            );
    }
};


#ifndef DOXYGEN_NO_STRATEGY_SPECIALIZATIONS
namespace services
{

template <typename CalculationType>
struct tag<pythagoras_box_box<CalculationType> >
{
    typedef strategy_tag_distance_box_box type;
};


template <typename CalculationType, typename Box1, typename Box2>
struct return_type<distance::pythagoras_box_box<CalculationType>, Box1, Box2>
    : pythagoras_box_box<CalculationType>::template calculation_type<Box1, Box2>
{};


template <typename CalculationType>
struct comparable_type<pythagoras_box_box<CalculationType> >
{
    typedef comparable::pythagoras_box_box<CalculationType> type;
};


template <typename CalculationType>
struct get_comparable<pythagoras_box_box<CalculationType> >
{
    typedef comparable::pythagoras_box_box<CalculationType> comparable_type;
public :
    static inline comparable_type
    apply(pythagoras_box_box<CalculationType> const& )
    {
        return comparable_type();
    }
};


template <typename CalculationType, typename Box1, typename Box2>
struct result_from_distance<pythagoras_box_box<CalculationType>, Box1, Box2>
{
private:
    typedef typename return_type
        <
            pythagoras_box_box<CalculationType>, Box1, Box2
        >::type return_type;
public:
    template <typename T>
    static inline return_type
    apply(pythagoras_box_box<CalculationType> const& , T const& value)
    {
        return return_type(value);
    }
};


// Specializations for comparable::pythagoras_box_box
template <typename CalculationType>
struct tag<comparable::pythagoras_box_box<CalculationType> >
{
    typedef strategy_tag_distance_box_box type;
};


template <typename CalculationType, typename Box1, typename Box2>
struct return_type<comparable::pythagoras_box_box<CalculationType>, Box1, Box2>
    : comparable::pythagoras_box_box
        <
            CalculationType
        >::template calculation_type<Box1, Box2>
{};




template <typename CalculationType>
struct comparable_type<comparable::pythagoras_box_box<CalculationType> >
{
    typedef comparable::pythagoras_box_box<CalculationType> type;
};


template <typename CalculationType>
struct get_comparable<comparable::pythagoras_box_box<CalculationType> >
{
    typedef comparable::pythagoras_box_box<CalculationType> comparable_type;
public :
    static inline comparable_type apply(comparable_type const& )
    {
        return comparable_type();
    }
};


template <typename CalculationType, typename Box1, typename Box2>
struct result_from_distance
    <
        comparable::pythagoras_box_box<CalculationType>, Box1, Box2
    >
{
private :
    typedef typename return_type
        <
            comparable::pythagoras_box_box<CalculationType>, Box1, Box2
        >::type return_type;
public :
    template <typename T>
    static inline return_type
    apply(comparable::pythagoras_box_box<CalculationType> const&,
          T const& value)
    {
        return_type const v = value;
        return v * v;
    }
};


template <typename BoxPoint1, typename BoxPoint2>
struct default_strategy
    <
        box_tag, box_tag, BoxPoint1, BoxPoint2, cartesian_tag, cartesian_tag
    >
{
    typedef pythagoras_box_box<> type;
};


} // namespace services
#endif // DOXYGEN_NO_STRATEGY_SPECIALIZATIONS


}} // namespace strategy::distance


}} // namespace boost::geometry


#endif // BOOST_GEOMETRY_STRATEGIES_CARTESIAN_DISTANCE_PYTHAGORAS_BOX_BOX_HPP