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[disjoint] add alternative (more robust) implementation of segment-box disjointness test; the alternative implementation does not use any divisions
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// Boost.Geometry (aka GGL, Generic Geometry Library)
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// Copyright (c) 2014, Oracle and/or its affiliates.
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// Contributed and/or modified by Menelaos Karavelas, on behalf of Oracle
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// Licensed under the Boost Software License version 1.0.
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// http://www.boost.org/users/license.html
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#ifndef BOOST_GEOMETRY_ALGORITHMS_DETAIL_DISJOINT_SEGMENT_BOX_HPP
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#define BOOST_GEOMETRY_ALGORITHMS_DETAIL_DISJOINT_SEGMENT_BOX_HPP
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#include <cstddef>
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#include <utility>
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#include <boost/geometry/util/calculation_type.hpp>
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#include <boost/geometry/core/access.hpp>
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#include <boost/geometry/core/coordinate_dimension.hpp>
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#include <boost/geometry/core/point_type.hpp>
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#include <boost/geometry/algorithms/detail/assign_indexed_point.hpp>
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namespace boost { namespace geometry
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{
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#ifndef DOXYGEN_NO_DETAIL
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namespace detail { namespace disjoint
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{
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template
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<
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typename RelativeDistance,
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typename SegmentPoint,
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typename Box,
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std::size_t I,
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std::size_t Dimension
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>
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struct disjoint_segment_box_impl
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{
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template <typename RelativeDistancePair>
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static inline bool apply(SegmentPoint const& p0,
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SegmentPoint const& p1,
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Box const& box,
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RelativeDistancePair& t_min,
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RelativeDistancePair& t_max)
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{
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typedef typename coordinate_type<Box>::type box_coordinate_type;
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typedef typename coordinate_type
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<
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SegmentPoint
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>::type point_coordinate_type;
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RelativeDistance c_p0 = boost::numeric_cast
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<
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point_coordinate_type
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>( geometry::get<I>(p0) );
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RelativeDistance c_p1 = boost::numeric_cast
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<
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point_coordinate_type
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>( geometry::get<I>(p1) );
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RelativeDistance c_b_min = boost::numeric_cast
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<
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box_coordinate_type
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>( geometry::get<geometry::min_corner, I>(box) );
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RelativeDistance c_b_max = boost::numeric_cast
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<
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box_coordinate_type
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>( geometry::get<geometry::max_corner, I>(box) );
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RelativeDistance ti_min, ti_max, diff;
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if ( geometry::get<I>(p1) >= geometry::get<I>(p0) )
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{
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diff = c_p1 - c_p0;
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ti_min = c_b_min - c_p0;
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ti_max = c_b_max - c_p0;
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}
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else
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{
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diff = c_p0 - c_p1;
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ti_min = c_p0 - c_b_max;
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ti_max = c_p0 - c_b_min;
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}
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RelativeDistance t_min_x_diff = t_min.first * diff;
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RelativeDistance t_max_x_diff = t_max.first * diff;
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if ( t_min_x_diff > ti_max * t_min.second
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|| t_max_x_diff < ti_min * t_max.second )
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{
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return true;
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}
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if ( ti_min * t_min.second > t_min_x_diff )
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{
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t_min.first = ti_min;
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t_min.second = diff;
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}
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if ( ti_max * t_max.second < t_max_x_diff )
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{
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t_max.first = ti_max;
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t_max.second = diff;
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}
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if ( t_min.first > t_min.second || t_max.first < 0 )
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{
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return true;
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}
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return disjoint_segment_box_impl
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<
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RelativeDistance,
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SegmentPoint,
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Box,
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I + 1,
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Dimension
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>::apply(p0, p1, box, t_min, t_max);
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}
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};
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template
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<
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typename RelativeDistance,
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typename SegmentPoint,
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typename Box,
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std::size_t Dimension
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>
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struct disjoint_segment_box_impl
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<
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RelativeDistance, SegmentPoint, Box, 0, Dimension
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>
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{
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static inline bool apply(SegmentPoint const& p0,
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SegmentPoint const& p1,
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Box const& box)
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{
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typedef typename coordinate_type<Box>::type box_coordinate_type;
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typedef typename coordinate_type
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<
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SegmentPoint
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>::type point_coordinate_type;
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RelativeDistance c_p0 = boost::numeric_cast
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<
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point_coordinate_type
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>( geometry::get<0>(p0) );
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RelativeDistance c_p1 = boost::numeric_cast
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<
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point_coordinate_type
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>( geometry::get<0>(p1) );
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RelativeDistance c_b_min = boost::numeric_cast
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<
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box_coordinate_type
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>( geometry::get<geometry::min_corner, 0>(box) );
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RelativeDistance c_b_max = boost::numeric_cast
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<
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box_coordinate_type
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>( geometry::get<geometry::max_corner, 0>(box) );
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std::pair<RelativeDistance, RelativeDistance> t_min, t_max;
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RelativeDistance diff;
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if ( geometry::get<0>(p1) >= geometry::get<0>(p0) )
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{
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diff = c_p1 - c_p0;
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t_min.first = c_b_min - c_p0;
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t_max.first = c_b_max - c_p0;
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}
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else
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{
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diff = c_p0 - c_p1;
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t_min.first = c_p0 - c_b_max;
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t_max.first = c_p0 - c_b_min;
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}
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if ( t_min.first > diff || t_max.first < 0 )
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{
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return true;
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}
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t_min.second = t_max.second = diff;
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return disjoint_segment_box_impl
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<
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RelativeDistance, SegmentPoint, Box, 1, Dimension
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>::apply(p0, p1, box, t_min, t_max);
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}
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};
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template
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<
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typename RelativeDistance,
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typename SegmentPoint,
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typename Box,
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std::size_t Dimension
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>
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struct disjoint_segment_box_impl
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<
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RelativeDistance, SegmentPoint, Box, Dimension, Dimension
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>
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{
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template <typename RelativeDistancePair>
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static inline bool apply(SegmentPoint const&, SegmentPoint const&,
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Box const&,
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RelativeDistancePair&, RelativeDistancePair&)
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{
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return false;
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}
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};
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//=========================================================================
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template <typename Segment, typename Box>
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struct disjoint_segment_box_no_numeric_limits
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{
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static inline bool apply(Segment const& segment, Box const& box)
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{
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assert_dimension_equal<Segment, Box>();
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typedef typename util::calculation_type::geometric::binary
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<
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Segment, Box, void
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>::type relative_distance_type;
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typedef typename point_type<Segment>::type segment_point_type;
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segment_point_type p0, p1;
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geometry::detail::assign_point_from_index<0>(segment, p0);
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geometry::detail::assign_point_from_index<1>(segment, p1);
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return disjoint_segment_box_impl
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<
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relative_distance_type, segment_point_type, Box,
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0, dimension<Box>::value
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>::apply(p0, p1, box);
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}
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};
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}} // namespace detail::disjoint
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#endif // DOXYGEN_NO_DETAIL
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}} // namespace boost::geometry
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#endif // BOOST_GEOMETRY_ALGORITHMS_DETAIL_DISJOINT_SEGMENT_BOX_HPP
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