// Boost.Geometry (aka GGL, Generic Geometry Library)

// Copyright (c) 2007-2015 Barend Gehrels, Amsterdam, the Netherlands.
// Copyright (c) 2008-2015 Bruno Lalande, Paris, France.
// Copyright (c) 2009-2015 Mateusz Loskot, London, UK.

// 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_ALGORITHMS_SIMPLIFY_HPP
#define BOOST_GEOMETRY_ALGORITHMS_SIMPLIFY_HPP

#include <cstddef>

#include <boost/core/ignore_unused.hpp>
#include <boost/range.hpp>

#include <boost/variant/apply_visitor.hpp>
#include <boost/variant/static_visitor.hpp>
#include <boost/variant/variant_fwd.hpp>

#include <boost/geometry/core/cs.hpp>
#include <boost/geometry/core/closure.hpp>
#include <boost/geometry/core/exterior_ring.hpp>
#include <boost/geometry/core/interior_rings.hpp>
#include <boost/geometry/core/mutable_range.hpp>
#include <boost/geometry/core/tags.hpp>

#include <boost/geometry/geometries/concepts/check.hpp>
#include <boost/geometry/strategies/agnostic/simplify_douglas_peucker.hpp>
#include <boost/geometry/strategies/concepts/simplify_concept.hpp>
#include <boost/geometry/strategies/default_strategy.hpp>
#include <boost/geometry/strategies/distance.hpp>

#include <boost/geometry/algorithms/clear.hpp>
#include <boost/geometry/algorithms/convert.hpp>
#include <boost/geometry/algorithms/not_implemented.hpp>

#include <boost/geometry/algorithms/detail/distance/default_strategies.hpp>

namespace boost { namespace geometry
{

#ifndef DOXYGEN_NO_DETAIL
namespace detail { namespace simplify
{

struct simplify_range_insert
{
    template<typename Range, typename Strategy, typename OutputIterator, typename Distance>
    static inline void apply(Range const& range, OutputIterator out,
                             Distance const& max_distance, Strategy const& strategy)
    {
        boost::ignore_unused(strategy);

        if (boost::size(range) <= 2 || max_distance < 0)
        {
            std::copy(boost::begin(range), boost::end(range), out);
        }
        else
        {
            strategy.apply(range, out, max_distance);
        }
    }
};


struct simplify_copy
{
    template <typename Range, typename Strategy, typename Distance>
    static inline void apply(Range const& range, Range& out,
                             Distance const& , Strategy const& )
    {
        std::copy
            (
                boost::begin(range), boost::end(range), geometry::range::back_inserter(out)
            );
    }
};


template<std::size_t Minimum>
struct simplify_range
{
    template <typename Range, typename Strategy, typename Distance>
    static inline void apply(Range const& range, Range& out,
                    Distance const& max_distance, Strategy const& strategy)
    {
        // Call do_container for a linestring / ring

        /* For a RING:
            The first/last point (the closing point of the ring) should maybe
            be excluded because it lies on a line with second/one but last.
            Here it is never excluded.

            Note also that, especially if max_distance is too large,
            the output ring might be self intersecting while the input ring is
            not, although chances are low in normal polygons

            Finally the inputring might have 3 (open) or 4 (closed) points (=correct),
                the output < 3 or 4(=wrong)
        */

        if (boost::size(range) <= int(Minimum) || max_distance < 0.0)
        {
            simplify_copy::apply(range, out, max_distance, strategy);
        }
        else
        {
            simplify_range_insert::apply
                (
                    range, geometry::range::back_inserter(out), max_distance, strategy
                );
        }
    }
};

struct simplify_polygon
{
private:

    template
    <
        std::size_t Minimum,
        typename IteratorIn,
        typename IteratorOut,
        typename Distance,
        typename Strategy
    >
    static inline void iterate(IteratorIn begin, IteratorIn end,
                    IteratorOut it_out,
                    Distance const& max_distance, Strategy const& strategy)
    {
        for (IteratorIn it_in = begin; it_in != end;  ++it_in, ++it_out)
        {
            simplify_range<Minimum>::apply(*it_in, *it_out, max_distance, strategy);
        }
    }

    template
    <
        std::size_t Minimum,
        typename InteriorRingsIn,
        typename InteriorRingsOut,
        typename Distance,
        typename Strategy
    >
    static inline void apply_interior_rings(
                    InteriorRingsIn const& interior_rings_in,
                    InteriorRingsOut& interior_rings_out,
                    Distance const& max_distance, Strategy const& strategy)
    {
        traits::resize<InteriorRingsOut>::apply(interior_rings_out,
            boost::size(interior_rings_in));

        iterate<Minimum>(
            boost::begin(interior_rings_in), boost::end(interior_rings_in),
            boost::begin(interior_rings_out),
            max_distance, strategy);
    }

public:
    template <typename Polygon, typename Strategy, typename Distance>
    static inline void apply(Polygon const& poly_in, Polygon& poly_out,
                    Distance const& max_distance, Strategy const& strategy)
    {
        std::size_t const minimum = core_detail::closure::minimum_ring_size
            <
                geometry::closure<Polygon>::value
            >::value;

        // Note that if there are inner rings, and distance is too large,
        // they might intersect with the outer ring in the output,
        // while it didn't in the input.
        simplify_range<minimum>::apply(exterior_ring(poly_in),
                                       exterior_ring(poly_out),
                                       max_distance, strategy);

        apply_interior_rings<minimum>(interior_rings(poly_in),
                                      interior_rings(poly_out),
                                      max_distance, strategy);
    }
};


template<typename Policy>
struct simplify_multi
{
    template <typename MultiGeometry, typename Strategy, typename Distance>
    static inline void apply(MultiGeometry const& multi, MultiGeometry& out,
                    Distance const& max_distance, Strategy const& strategy)
    {
        traits::resize<MultiGeometry>::apply(out, boost::size(multi));

        typename boost::range_iterator<MultiGeometry>::type it_out
                = boost::begin(out);
        for (typename boost::range_iterator<MultiGeometry const>::type
                it_in = boost::begin(multi);
             it_in != boost::end(multi);
             ++it_in, ++it_out)
        {
            Policy::apply(*it_in, *it_out, max_distance, strategy);
        }
    }
};


}} // namespace detail::simplify
#endif // DOXYGEN_NO_DETAIL


#ifndef DOXYGEN_NO_DISPATCH
namespace dispatch
{

template
<
    typename Geometry,
    typename Tag = typename tag<Geometry>::type
>
struct simplify: not_implemented<Tag>
{};

template <typename Point>
struct simplify<Point, point_tag>
{
    template <typename Distance, typename Strategy>
    static inline void apply(Point const& point, Point& out,
                    Distance const& , Strategy const& )
    {
        geometry::convert(point, out);
    }
};


template <typename Linestring>
struct simplify<Linestring, linestring_tag>
    : detail::simplify::simplify_range<2>
{};

template <typename Ring>
struct simplify<Ring, ring_tag>
    : detail::simplify::simplify_range
            <
                core_detail::closure::minimum_ring_size
                    <
                        geometry::closure<Ring>::value
                    >::value
            >
{};

template <typename Polygon>
struct simplify<Polygon, polygon_tag>
    : detail::simplify::simplify_polygon
{};


template
<
    typename Geometry,
    typename Tag = typename tag<Geometry>::type
>
struct simplify_insert: not_implemented<Tag>
{};


template <typename Linestring>
struct simplify_insert<Linestring, linestring_tag>
    : detail::simplify::simplify_range_insert
{};

template <typename Ring>
struct simplify_insert<Ring, ring_tag>
    : detail::simplify::simplify_range_insert
{};

template <typename MultiPoint>
struct simplify<MultiPoint, multi_point_tag>
    : detail::simplify::simplify_copy
{};


template <typename MultiLinestring>
struct simplify<MultiLinestring, multi_linestring_tag>
    : detail::simplify::simplify_multi<detail::simplify::simplify_range<2> >
{};


template <typename MultiPolygon>
struct simplify<MultiPolygon, multi_polygon_tag>
    : detail::simplify::simplify_multi<detail::simplify::simplify_polygon>
{};


} // namespace dispatch
#endif // DOXYGEN_NO_DISPATCH


namespace resolve_strategy
{

struct simplify
{
    template <typename Geometry, typename Distance, typename Strategy>
    static inline void apply(Geometry const& geometry,
                             Geometry& out,
                             Distance const& max_distance,
                             Strategy const& strategy)
    {
        dispatch::simplify<Geometry>::apply(geometry, out, max_distance, strategy);
    }

    template <typename Geometry, typename Distance>
    static inline void apply(Geometry const& geometry,
                             Geometry& out,
                             Distance const& max_distance,
                             default_strategy)
    {
        typedef typename point_type<Geometry>::type point_type;

        typedef typename strategy::distance::services::default_strategy
        <
            point_tag, segment_tag, point_type
        >::type ds_strategy_type;

        typedef strategy::simplify::douglas_peucker
        <
            point_type, ds_strategy_type
        > strategy_type;

        BOOST_CONCEPT_ASSERT(
            (concepts::SimplifyStrategy<strategy_type, point_type>)
        );

        apply(geometry, out, max_distance, strategy_type());
    }
};

struct simplify_insert
{
    template
    <
        typename Geometry,
        typename OutputIterator,
        typename Distance,
        typename Strategy
    >
    static inline void apply(Geometry const& geometry,
                             OutputIterator& out,
                             Distance const& max_distance,
                             Strategy const& strategy)
    {
        dispatch::simplify_insert<Geometry>::apply(geometry, out, max_distance, strategy);
    }

    template <typename Geometry, typename OutputIterator, typename Distance>
    static inline void apply(Geometry const& geometry,
                             OutputIterator& out,
                             Distance const& max_distance,
                             default_strategy)
    {
        typedef typename point_type<Geometry>::type point_type;

        typedef typename strategy::distance::services::default_strategy
        <
            point_tag, segment_tag, point_type
        >::type ds_strategy_type;

        typedef strategy::simplify::douglas_peucker
        <
            point_type, ds_strategy_type
        > strategy_type;

        BOOST_CONCEPT_ASSERT(
            (concepts::SimplifyStrategy<strategy_type, point_type>)
        );

        apply(geometry, out, max_distance, strategy_type());
    }
};

} // namespace resolve_strategy


namespace resolve_variant {

template <typename Geometry>
struct simplify
{
    template <typename Distance, typename Strategy>
    static inline void apply(Geometry const& geometry,
                             Geometry& out,
                             Distance const& max_distance,
                             Strategy const& strategy)
    {
        resolve_strategy::simplify::apply(geometry, out, max_distance, strategy);
    }
};

template <BOOST_VARIANT_ENUM_PARAMS(typename T)>
struct simplify<boost::variant<BOOST_VARIANT_ENUM_PARAMS(T)> >
{
    template <typename Distance, typename Strategy>
    struct visitor: boost::static_visitor<void>
    {
        Distance const& m_max_distance;
        Strategy const& m_strategy;

        visitor(Distance const& max_distance, Strategy const& strategy)
            : m_max_distance(max_distance)
            , m_strategy(strategy)
        {}

        template <typename Geometry>
        void operator()(Geometry const& geometry, Geometry& out) const
        {
            simplify<Geometry>::apply(geometry, out, m_max_distance, m_strategy);
        }
    };

    template <typename Distance, typename Strategy>
    static inline void
    apply(boost::variant<BOOST_VARIANT_ENUM_PARAMS(T)> const& geometry,
          boost::variant<BOOST_VARIANT_ENUM_PARAMS(T)>& out,
          Distance const& max_distance,
          Strategy const& strategy)
    {
        boost::apply_visitor(
            visitor<Distance, Strategy>(max_distance, strategy),
            geometry,
            out
        );
    }
};

} // namespace resolve_variant


/*!
\brief Simplify a geometry using a specified strategy
\ingroup simplify
\tparam Geometry \tparam_geometry
\tparam Distance A numerical distance measure
\tparam Strategy A type fulfilling a SimplifyStrategy concept
\param strategy A strategy to calculate simplification
\param geometry input geometry, to be simplified
\param out output geometry, simplified version of the input geometry
\param max_distance distance (in units of input coordinates) of a vertex
    to other segments to be removed
\param strategy simplify strategy to be used for simplification, might
    include point-distance strategy

\image html svg_simplify_country.png "The image below presents the simplified country"
\qbk{distinguish,with strategy}
*/
template<typename Geometry, typename Distance, typename Strategy>
inline void simplify(Geometry const& geometry, Geometry& out,
                     Distance const& max_distance, Strategy const& strategy)
{
    concepts::check<Geometry>();

    geometry::clear(out);

    resolve_variant::simplify<Geometry>::apply(geometry, out, max_distance, strategy);
}




/*!
\brief Simplify a geometry
\ingroup simplify
\tparam Geometry \tparam_geometry
\tparam Distance \tparam_numeric
\note This version of simplify simplifies a geometry using the default
    strategy (Douglas Peucker),
\param geometry input geometry, to be simplified
\param out output geometry, simplified version of the input geometry
\param max_distance distance (in units of input coordinates) of a vertex
    to other segments to be removed

\qbk{[include reference/algorithms/simplify.qbk]}
 */
template<typename Geometry, typename Distance>
inline void simplify(Geometry const& geometry, Geometry& out,
                     Distance const& max_distance)
{
    concepts::check<Geometry>();

    geometry::simplify(geometry, out, max_distance, default_strategy());
}


#ifndef DOXYGEN_NO_DETAIL
namespace detail { namespace simplify
{


/*!
\brief Simplify a geometry, using an output iterator
    and a specified strategy
\ingroup simplify
\tparam Geometry \tparam_geometry
\param geometry input geometry, to be simplified
\param out output iterator, outputs all simplified points
\param max_distance distance (in units of input coordinates) of a vertex
    to other segments to be removed
\param strategy simplify strategy to be used for simplification,
    might include point-distance strategy

\qbk{distinguish,with strategy}
\qbk{[include reference/algorithms/simplify.qbk]}
*/
template<typename Geometry, typename OutputIterator, typename Distance, typename Strategy>
inline void simplify_insert(Geometry const& geometry, OutputIterator out,
                            Distance const& max_distance, Strategy const& strategy)
{
    concepts::check<Geometry const>();

    resolve_strategy::simplify_insert::apply(geometry, out, max_distance, strategy);
}

/*!
\brief Simplify a geometry, using an output iterator
\ingroup simplify
\tparam Geometry \tparam_geometry
\param geometry input geometry, to be simplified
\param out output iterator, outputs all simplified points
\param max_distance distance (in units of input coordinates) of a vertex
    to other segments to be removed

\qbk{[include reference/algorithms/simplify_insert.qbk]}
 */
template<typename Geometry, typename OutputIterator, typename Distance>
inline void simplify_insert(Geometry const& geometry, OutputIterator out,
                            Distance const& max_distance)
{
    // Concept: output point type = point type of input geometry
    concepts::check<Geometry const>();
    concepts::check<typename point_type<Geometry>::type>();

    simplify_insert(geometry, out, max_distance, default_strategy());
}

}} // namespace detail::simplify
#endif // DOXYGEN_NO_DETAIL



}} // namespace boost::geometry

#endif // BOOST_GEOMETRY_ALGORITHMS_SIMPLIFY_HPP