[disjoint] add alternative (more robust) implementation of segment-box disjointness test; the alternative implementation does not use any divisions

This commit is contained in:
Menelaos Karavelas
2014-05-08 22:24:01 +03:00
parent 9ea4b6bf6c
commit 06ebf17a8d

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@@ -0,0 +1,263 @@
// Boost.Geometry (aka GGL, Generic Geometry Library)
// Copyright (c) 2014, Oracle and/or its affiliates.
// Contributed and/or modified by Menelaos Karavelas, on behalf of Oracle
// Licensed under the Boost Software License version 1.0.
// http://www.boost.org/users/license.html
#ifndef BOOST_GEOMETRY_ALGORITHMS_DETAIL_DISJOINT_SEGMENT_BOX_HPP
#define BOOST_GEOMETRY_ALGORITHMS_DETAIL_DISJOINT_SEGMENT_BOX_HPP
#include <cstddef>
#include <utility>
#include <boost/geometry/util/calculation_type.hpp>
#include <boost/geometry/core/access.hpp>
#include <boost/geometry/core/coordinate_dimension.hpp>
#include <boost/geometry/core/point_type.hpp>
#include <boost/geometry/algorithms/detail/assign_indexed_point.hpp>
namespace boost { namespace geometry
{
#ifndef DOXYGEN_NO_DETAIL
namespace detail { namespace disjoint
{
template
<
typename RelativeDistance,
typename SegmentPoint,
typename Box,
std::size_t I,
std::size_t Dimension
>
struct disjoint_segment_box_impl
{
template <typename RelativeDistancePair>
static inline bool apply(SegmentPoint const& p0,
SegmentPoint const& p1,
Box const& box,
RelativeDistancePair& t_min,
RelativeDistancePair& t_max)
{
typedef typename coordinate_type<Box>::type box_coordinate_type;
typedef typename coordinate_type
<
SegmentPoint
>::type point_coordinate_type;
RelativeDistance c_p0 = boost::numeric_cast
<
point_coordinate_type
>( geometry::get<I>(p0) );
RelativeDistance c_p1 = boost::numeric_cast
<
point_coordinate_type
>( geometry::get<I>(p1) );
RelativeDistance c_b_min = boost::numeric_cast
<
box_coordinate_type
>( geometry::get<geometry::min_corner, I>(box) );
RelativeDistance c_b_max = boost::numeric_cast
<
box_coordinate_type
>( geometry::get<geometry::max_corner, I>(box) );
RelativeDistance ti_min, ti_max, diff;
if ( geometry::get<I>(p1) >= geometry::get<I>(p0) )
{
diff = c_p1 - c_p0;
ti_min = c_b_min - c_p0;
ti_max = c_b_max - c_p0;
}
else
{
diff = c_p0 - c_p1;
ti_min = c_p0 - c_b_max;
ti_max = c_p0 - c_b_min;
}
RelativeDistance t_min_x_diff = t_min.first * diff;
RelativeDistance t_max_x_diff = t_max.first * diff;
if ( t_min_x_diff > ti_max * t_min.second
|| t_max_x_diff < ti_min * t_max.second )
{
return true;
}
if ( ti_min * t_min.second > t_min_x_diff )
{
t_min.first = ti_min;
t_min.second = diff;
}
if ( ti_max * t_max.second < t_max_x_diff )
{
t_max.first = ti_max;
t_max.second = diff;
}
if ( t_min.first > t_min.second || t_max.first < 0 )
{
return true;
}
return disjoint_segment_box_impl
<
RelativeDistance,
SegmentPoint,
Box,
I + 1,
Dimension
>::apply(p0, p1, box, t_min, t_max);
}
};
template
<
typename RelativeDistance,
typename SegmentPoint,
typename Box,
std::size_t Dimension
>
struct disjoint_segment_box_impl
<
RelativeDistance, SegmentPoint, Box, 0, Dimension
>
{
static inline bool apply(SegmentPoint const& p0,
SegmentPoint const& p1,
Box const& box)
{
typedef typename coordinate_type<Box>::type box_coordinate_type;
typedef typename coordinate_type
<
SegmentPoint
>::type point_coordinate_type;
RelativeDistance c_p0 = boost::numeric_cast
<
point_coordinate_type
>( geometry::get<0>(p0) );
RelativeDistance c_p1 = boost::numeric_cast
<
point_coordinate_type
>( geometry::get<0>(p1) );
RelativeDistance c_b_min = boost::numeric_cast
<
box_coordinate_type
>( geometry::get<geometry::min_corner, 0>(box) );
RelativeDistance c_b_max = boost::numeric_cast
<
box_coordinate_type
>( geometry::get<geometry::max_corner, 0>(box) );
std::pair<RelativeDistance, RelativeDistance> t_min, t_max;
RelativeDistance diff;
if ( geometry::get<0>(p1) >= geometry::get<0>(p0) )
{
diff = c_p1 - c_p0;
t_min.first = c_b_min - c_p0;
t_max.first = c_b_max - c_p0;
}
else
{
diff = c_p0 - c_p1;
t_min.first = c_p0 - c_b_max;
t_max.first = c_p0 - c_b_min;
}
if ( t_min.first > diff || t_max.first < 0 )
{
return true;
}
t_min.second = t_max.second = diff;
return disjoint_segment_box_impl
<
RelativeDistance, SegmentPoint, Box, 1, Dimension
>::apply(p0, p1, box, t_min, t_max);
}
};
template
<
typename RelativeDistance,
typename SegmentPoint,
typename Box,
std::size_t Dimension
>
struct disjoint_segment_box_impl
<
RelativeDistance, SegmentPoint, Box, Dimension, Dimension
>
{
template <typename RelativeDistancePair>
static inline bool apply(SegmentPoint const&, SegmentPoint const&,
Box const&,
RelativeDistancePair&, RelativeDistancePair&)
{
return false;
}
};
//=========================================================================
template <typename Segment, typename Box>
struct disjoint_segment_box_no_numeric_limits
{
static inline bool apply(Segment const& segment, Box const& box)
{
assert_dimension_equal<Segment, Box>();
typedef typename util::calculation_type::geometric::binary
<
Segment, Box, void
>::type relative_distance_type;
typedef typename point_type<Segment>::type segment_point_type;
segment_point_type p0, p1;
geometry::detail::assign_point_from_index<0>(segment, p0);
geometry::detail::assign_point_from_index<1>(segment, p1);
return disjoint_segment_box_impl
<
relative_distance_type, segment_point_type, Box,
0, dimension<Box>::value
>::apply(p0, p1, box);
}
};
}} // namespace detail::disjoint
#endif // DOXYGEN_NO_DETAIL
}} // namespace boost::geometry
#endif // BOOST_GEOMETRY_ALGORITHMS_DETAIL_DISJOINT_SEGMENT_BOX_HPP