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Bassem Girgis
2018-12-20 17:34:07 -06:00
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// Boost.Geometry (aka GGL, Generic Geometry Library)
// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
// Copyright (c) 2014 Adam Wulkiewicz, Lodz, Poland.
// This file was modified by Oracle on 2013, 2014, 2015, 2017.
// Modifications copyright (c) 2013-2017, Oracle and/or its affiliates.
// 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_ALGORITHMS_DETAIL_WITHIN_POINT_IN_GEOMETRY_HPP
#define BOOST_GEOMETRY_ALGORITHMS_DETAIL_WITHIN_POINT_IN_GEOMETRY_HPP
#include <boost/core/ignore_unused.hpp>
#include <boost/mpl/assert.hpp>
#include <boost/range.hpp>
#include <boost/type_traits/is_same.hpp>
#include <boost/type_traits/remove_reference.hpp>
#include <boost/geometry/core/assert.hpp>
#include <boost/geometry/algorithms/detail/equals/point_point.hpp>
#include <boost/geometry/algorithms/detail/interior_iterator.hpp>
#include <boost/geometry/geometries/concepts/check.hpp>
#include <boost/geometry/strategies/concepts/within_concept.hpp>
#include <boost/geometry/strategies/default_strategy.hpp>
#include <boost/geometry/strategies/relate.hpp>
#include <boost/geometry/util/range.hpp>
#include <boost/geometry/views/detail/normalized_view.hpp>
namespace boost { namespace geometry {
#ifndef DOXYGEN_NO_DETAIL
namespace detail { namespace within {
// TODO: is this needed?
inline int check_result_type(int result)
{
return result;
}
template <typename T>
inline T check_result_type(T result)
{
BOOST_GEOMETRY_ASSERT(false);
return result;
}
template <typename Point, typename Range, typename Strategy> inline
int point_in_range(Point const& point, Range const& range, Strategy const& strategy)
{
boost::ignore_unused(strategy);
typedef typename boost::range_iterator<Range const>::type iterator_type;
typename Strategy::state_type state;
iterator_type it = boost::begin(range);
iterator_type end = boost::end(range);
for ( iterator_type previous = it++ ; it != end ; ++previous, ++it )
{
if ( ! strategy.apply(point, *previous, *it, state) )
{
break;
}
}
return check_result_type(strategy.result(state));
}
template <typename Geometry, typename Point, typename Range>
inline int point_in_range(Point const& point, Range const& range)
{
typedef typename strategy::point_in_geometry::services::default_strategy
<
Point, Geometry
>::type strategy_type;
return point_in_range(point, range, strategy_type());
}
}} // namespace detail::within
namespace detail_dispatch { namespace within {
// checks the relation between a point P and geometry G
// returns 1 if P is in the interior of G
// returns 0 if P is on the boundry of G
// returns -1 if P is in the exterior of G
template <typename Geometry,
typename Tag = typename geometry::tag<Geometry>::type>
struct point_in_geometry
: not_implemented<Tag>
{};
template <typename Point2>
struct point_in_geometry<Point2, point_tag>
{
template <typename Point1, typename Strategy> static inline
int apply(Point1 const& point1, Point2 const& point2, Strategy const& strategy)
{
boost::ignore_unused(strategy);
return strategy.apply(point1, point2) ? 1 : -1;
}
};
template <typename Segment>
struct point_in_geometry<Segment, segment_tag>
{
template <typename Point, typename Strategy> static inline
int apply(Point const& point, Segment const& segment, Strategy const& strategy)
{
boost::ignore_unused(strategy);
typedef typename geometry::point_type<Segment>::type point_type;
point_type p0, p1;
// TODO: don't copy points
detail::assign_point_from_index<0>(segment, p0);
detail::assign_point_from_index<1>(segment, p1);
typename Strategy::state_type state;
strategy.apply(point, p0, p1, state);
int r = detail::within::check_result_type(strategy.result(state));
if ( r != 0 )
return -1; // exterior
// if the point is equal to the one of the terminal points
if ( detail::equals::equals_point_point(point, p0)
|| detail::equals::equals_point_point(point, p1) )
return 0; // boundary
else
return 1; // interior
}
};
template <typename Linestring>
struct point_in_geometry<Linestring, linestring_tag>
{
template <typename Point, typename Strategy> static inline
int apply(Point const& point, Linestring const& linestring, Strategy const& strategy)
{
std::size_t count = boost::size(linestring);
if ( count > 1 )
{
if ( detail::within::point_in_range(point, linestring, strategy) != 0 )
return -1; // exterior
// if the linestring doesn't have a boundary
if (detail::equals::equals_point_point(range::front(linestring), range::back(linestring)))
return 1; // interior
// else if the point is equal to the one of the terminal points
else if (detail::equals::equals_point_point(point, range::front(linestring))
|| detail::equals::equals_point_point(point, range::back(linestring)))
return 0; // boundary
else
return 1; // interior
}
// TODO: for now degenerated linestrings are ignored
// throw an exception here?
/*else if ( count == 1 )
{
if ( detail::equals::equals_point_point(point, range::front(linestring)) )
return 1;
}*/
return -1; // exterior
}
};
template <typename Ring>
struct point_in_geometry<Ring, ring_tag>
{
template <typename Point, typename Strategy> static inline
int apply(Point const& point, Ring const& ring, Strategy const& strategy)
{
if ( boost::size(ring) < core_detail::closure::minimum_ring_size
<
geometry::closure<Ring>::value
>::value )
{
return -1;
}
detail::normalized_view<Ring const> view(ring);
return detail::within::point_in_range(point, view, strategy);
}
};
// Polygon: in exterior ring, and if so, not within interior ring(s)
template <typename Polygon>
struct point_in_geometry<Polygon, polygon_tag>
{
template <typename Point, typename Strategy>
static inline int apply(Point const& point, Polygon const& polygon,
Strategy const& strategy)
{
int const code = point_in_geometry
<
typename ring_type<Polygon>::type
>::apply(point, exterior_ring(polygon), strategy);
if (code == 1)
{
typename interior_return_type<Polygon const>::type
rings = interior_rings(polygon);
for (typename detail::interior_iterator<Polygon const>::type
it = boost::begin(rings);
it != boost::end(rings);
++it)
{
int const interior_code = point_in_geometry
<
typename ring_type<Polygon>::type
>::apply(point, *it, strategy);
if (interior_code != -1)
{
// If 0, return 0 (touch)
// If 1 (inside hole) return -1 (outside polygon)
// If -1 (outside hole) check other holes if any
return -interior_code;
}
}
}
return code;
}
};
template <typename Geometry>
struct point_in_geometry<Geometry, multi_point_tag>
{
template <typename Point, typename Strategy> static inline
int apply(Point const& point, Geometry const& geometry, Strategy const& strategy)
{
typedef typename boost::range_value<Geometry>::type point_type;
typedef typename boost::range_const_iterator<Geometry>::type iterator;
for ( iterator it = boost::begin(geometry) ; it != boost::end(geometry) ; ++it )
{
int pip = point_in_geometry<point_type>::apply(point, *it, strategy);
//BOOST_GEOMETRY_ASSERT(pip != 0);
if ( pip > 0 ) // inside
return 1;
}
return -1; // outside
}
};
template <typename Geometry>
struct point_in_geometry<Geometry, multi_linestring_tag>
{
template <typename Point, typename Strategy> static inline
int apply(Point const& point, Geometry const& geometry, Strategy const& strategy)
{
int pip = -1; // outside
typedef typename boost::range_value<Geometry>::type linestring_type;
typedef typename boost::range_value<linestring_type>::type point_type;
typedef typename boost::range_iterator<Geometry const>::type iterator;
iterator it = boost::begin(geometry);
for ( ; it != boost::end(geometry) ; ++it )
{
pip = point_in_geometry<linestring_type>::apply(point, *it, strategy);
// inside or on the boundary
if ( pip >= 0 )
{
++it;
break;
}
}
// outside
if ( pip < 0 )
return -1;
// TODO: the following isn't needed for covered_by()
unsigned boundaries = pip == 0 ? 1 : 0;
for ( ; it != boost::end(geometry) ; ++it )
{
if ( boost::size(*it) < 2 )
continue;
point_type const& front = range::front(*it);
point_type const& back = range::back(*it);
// is closed_ring - no boundary
if ( detail::equals::equals_point_point(front, back) )
continue;
// is point on boundary
if ( detail::equals::equals_point_point(point, front)
|| detail::equals::equals_point_point(point, back) )
{
++boundaries;
}
}
// if the number of boundaries is odd, the point is on the boundary
return boundaries % 2 ? 0 : 1;
}
};
template <typename Geometry>
struct point_in_geometry<Geometry, multi_polygon_tag>
{
template <typename Point, typename Strategy> static inline
int apply(Point const& point, Geometry const& geometry, Strategy const& strategy)
{
// For invalid multipolygons
//int res = -1; // outside
typedef typename boost::range_value<Geometry>::type polygon_type;
typedef typename boost::range_const_iterator<Geometry>::type iterator;
for ( iterator it = boost::begin(geometry) ; it != boost::end(geometry) ; ++it )
{
int pip = point_in_geometry<polygon_type>::apply(point, *it, strategy);
// inside or on the boundary
if ( pip >= 0 )
return pip;
// For invalid multi-polygons
//if ( 1 == pip ) // inside polygon
// return 1;
//else if ( res < pip ) // point must be inside at least one polygon
// res = pip;
}
return -1; // for valid multipolygons
//return res; // for invalid multipolygons
}
};
}} // namespace detail_dispatch::within
namespace detail { namespace within {
// 1 - in the interior
// 0 - in the boundry
// -1 - in the exterior
template <typename Point, typename Geometry, typename Strategy>
inline int point_in_geometry(Point const& point, Geometry const& geometry, Strategy const& strategy)
{
concepts::within::check
<
typename tag<Point>::type,
typename tag<Geometry>::type,
typename tag_cast<typename tag<Geometry>::type, areal_tag>::type,
Strategy
>();
return detail_dispatch::within::point_in_geometry<Geometry>::apply(point, geometry, strategy);
}
template <typename Point, typename Geometry>
inline int point_in_geometry(Point const& point, Geometry const& geometry)
{
typedef typename strategy::point_in_geometry::services::default_strategy
<
Point, Geometry
>::type strategy_type;
return point_in_geometry(point, geometry, strategy_type());
}
}} // namespace detail::within
#endif // DOXYGEN_NO_DETAIL
}} // namespace boost::geometry
#endif // BOOST_GEOMETRY_ALGORITHMS_DETAIL_WITHIN_POINT_IN_GEOMETRY_HPP

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// Boost.Geometry (aka GGL, Generic Geometry Library)
// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
// This file was modified by Oracle on 2013.
// Modifications copyright (c) 2013, Oracle and/or its affiliates.
// 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_DETAIL_WITHIN_WITHIN_NO_TURNS_HPP
#define BOOST_GEOMETRY_ALGORITHMS_DETAIL_WITHIN_WITHIN_NO_TURNS_HPP
#include <boost/geometry/algorithms/detail/point_on_border.hpp>
#include <boost/geometry/algorithms/detail/within/point_in_geometry.hpp>
namespace boost { namespace geometry {
#ifndef DOXYGEN_NO_DETAIL
namespace detail_dispatch { namespace within {
// returns true if G1 is within G2
// this function should be called only if there are no intersection points
// otherwise it may return invalid result
// e.g. when non-first point of G1 is outside G2 or when some rings of G1 are the same as rings of G2
template <typename Geometry1,
typename Geometry2,
typename Tag1 = typename geometry::tag<Geometry1>::type,
typename Tag2 = typename geometry::tag<Geometry2>::type>
struct within_no_turns
{
template <typename Strategy> static inline
bool apply(Geometry1 const& geometry1, Geometry2 const& geometry2, Strategy const& strategy)
{
typedef typename geometry::point_type<Geometry1>::type point1_type;
point1_type p;
if ( !geometry::point_on_border(p, geometry1) )
return false;
return detail::within::point_in_geometry(p, geometry2, strategy) >= 0;
}
};
template <typename Geometry1, typename Geometry2>
struct within_no_turns<Geometry1, Geometry2, ring_tag, polygon_tag>
{
template <typename Strategy> static inline
bool apply(Geometry1 const& geometry1, Geometry2 const& geometry2, Strategy const& strategy)
{
typedef typename geometry::point_type<Geometry1>::type point1_type;
typedef typename geometry::point_type<Geometry2>::type point2_type;
point1_type p;
if ( !geometry::point_on_border(p, geometry1) )
return false;
// check if one of ring points is outside the polygon
if ( detail::within::point_in_geometry(p, geometry2, strategy) < 0 )
return false;
// Now check if holes of G2 aren't inside G1
typedef typename boost::range_const_iterator
<
typename geometry::interior_type<Geometry2>::type
>::type iterator;
for ( iterator it = boost::begin(geometry::interior_rings(geometry2)) ;
it != boost::end(geometry::interior_rings(geometry2)) ;
++it )
{
point2_type p;
if ( !geometry::point_on_border(p, *it) )
return false;
if ( detail::within::point_in_geometry(p, geometry1, strategy) > 0 )
return false;
}
return true;
}
};
template <typename Geometry1, typename Geometry2>
struct within_no_turns<Geometry1, Geometry2, polygon_tag, polygon_tag>
{
template <typename Strategy> static inline
bool apply(Geometry1 const& geometry1, Geometry2 const& geometry2, Strategy const& strategy)
{
typedef typename geometry::point_type<Geometry1>::type point1_type;
typedef typename geometry::point_type<Geometry2>::type point2_type;
point1_type p;
if ( !geometry::point_on_border(p, geometry1) )
return false;
// check if one of ring points is outside the polygon
if ( detail::within::point_in_geometry(p, geometry2, strategy) < 0 )
return false;
// Now check if holes of G2 aren't inside G1
typedef typename boost::range_const_iterator
<
typename geometry::interior_type<Geometry2>::type
>::type iterator2;
for ( iterator2 it = boost::begin(geometry::interior_rings(geometry2)) ;
it != boost::end(geometry::interior_rings(geometry2)) ;
++it )
{
point2_type p2;
if ( !geometry::point_on_border(p2, *it) )
return false;
// if the hole of G2 is inside G1
if ( detail::within::point_in_geometry(p2, geometry1, strategy) > 0 )
{
// if it's also inside one of the G1 holes, it's ok
bool ok = false;
typedef typename boost::range_const_iterator
<
typename geometry::interior_type<Geometry1>::type
>::type iterator1;
for ( iterator1 it1 = boost::begin(geometry::interior_rings(geometry1)) ;
it1 != boost::end(geometry::interior_rings(geometry1)) ;
++it1 )
{
if ( detail::within::point_in_geometry(p2, *it1, strategy) < 0 )
{
ok = true;
break;
}
}
if ( !ok )
return false;
}
}
return true;
}
};
template <typename Geometry1,
typename Geometry2,
typename Tag1 = typename geometry::tag<Geometry1>::type,
typename Tag2 = typename geometry::tag<Geometry2>::type,
bool IsMulti1 = boost::is_base_of<geometry::multi_tag, Tag1>::value,
bool IsMulti2 = boost::is_base_of<geometry::multi_tag, Tag2>::value>
struct within_no_turns_multi
{
template <typename Strategy> static inline
bool apply(Geometry1 const& geometry1, Geometry2 const& geometry2, Strategy const& strategy)
{
return within_no_turns<Geometry1, Geometry2>::apply(geometry1, geometry2, strategy);
}
};
template <typename Geometry1, typename Geometry2, typename Tag1, typename Tag2>
struct within_no_turns_multi<Geometry1, Geometry2, Tag1, Tag2, true, false>
{
template <typename Strategy> static inline
bool apply(Geometry1 const& geometry1, Geometry2 const& geometry2, Strategy const& strategy)
{
// All values of G1 must be inside G2
typedef typename boost::range_value<Geometry1>::type subgeometry1;
typedef typename boost::range_const_iterator<Geometry1>::type iterator;
for ( iterator it = boost::begin(geometry1) ; it != boost::end(geometry1) ; ++it )
{
if ( !within_no_turns<subgeometry1, Geometry2>::apply(*it, geometry2, strategy) )
return false;
}
return true;
}
};
template <typename Geometry1, typename Geometry2, typename Tag1, typename Tag2>
struct within_no_turns_multi<Geometry1, Geometry2, Tag1, Tag2, false, true>
{
template <typename Strategy> static inline
bool apply(Geometry1 const& geometry1, Geometry2 const& geometry2, Strategy const& strategy)
{
// G1 must be within at least one value of G2
typedef typename boost::range_value<Geometry2>::type subgeometry2;
typedef typename boost::range_const_iterator<Geometry2>::type iterator;
for ( iterator it = boost::begin(geometry2) ; it != boost::end(geometry2) ; ++it )
{
if ( within_no_turns<Geometry1, subgeometry2>::apply(geometry1, *it, strategy) )
return true;
}
return false;
}
};
template <typename Geometry1, typename Geometry2, typename Tag1, typename Tag2>
struct within_no_turns_multi<Geometry1, Geometry2, Tag1, Tag2, true, true>
{
template <typename Strategy> static inline
bool apply(Geometry1 const& geometry1, Geometry2 const& geometry2, Strategy const& strategy)
{
// each value of G1 must be inside at least one value of G2
typedef typename boost::range_value<Geometry1>::type subgeometry1;
typedef typename boost::range_const_iterator<Geometry1>::type iterator;
for ( iterator it = boost::begin(geometry1) ; it != boost::end(geometry1) ; ++it )
{
if ( !within_no_turns_multi<subgeometry1, Geometry2>::apply(*it, geometry2, strategy) )
return false;
}
return true;
}
};
}} // namespace detail_dispatch::within
namespace detail { namespace within {
template <typename Geometry1, typename Geometry2, typename Strategy>
inline bool within_no_turns(Geometry1 const& geometry1, Geometry2 const& geometry2, Strategy const& strategy)
{
return detail_dispatch::within::within_no_turns_multi<Geometry1, Geometry2>::apply(geometry1, geometry2, strategy);
}
}} // namespace detail::within
#endif // DOXYGEN_NO_DETAIL
}} // namespace boost::geometry
#endif // BOOST_GEOMETRY_ALGORITHMS_DETAIL_WITHIN_WITHIN_NO_TURNS_HPP