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185 lines
5.4 KiB
185 lines
5.4 KiB
// Boost.Geometry (aka GGL, Generic Geometry Library) |
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// Copyright (c) 2007-2011 Barend Gehrels, Amsterdam, the Netherlands. |
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// Use, modification and distribution is subject to the Boost Software License, |
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// Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at |
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// http://www.boost.org/LICENSE_1_0.txt) |
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#ifndef BOOST_GEOMETRY_GEOMETRY_POLICIES_RELATE_DE9IM_HPP |
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#define BOOST_GEOMETRY_GEOMETRY_POLICIES_RELATE_DE9IM_HPP |
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#include <boost/geometry/strategies/intersection_result.hpp> |
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#include <boost/geometry/util/math.hpp> |
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#include <boost/geometry/util/select_coordinate_type.hpp> |
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namespace boost { namespace geometry |
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{ |
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namespace policies { namespace relate |
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{ |
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template <typename S1, typename S2> |
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struct segments_de9im |
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{ |
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typedef de9im_segment return_type; |
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typedef S1 segment_type1; |
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typedef S2 segment_type2; |
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typedef typename select_coordinate_type<S1, S2>::type coordinate_type; |
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static inline return_type rays_intersect(bool on_segment, |
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double ra, double rb, |
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coordinate_type const& dx1, coordinate_type const& dy1, |
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coordinate_type const& dx2, coordinate_type const& dy2, |
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coordinate_type const& wx, coordinate_type const& wy, |
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S1 const& s1, S2 const& s2) |
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{ |
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if(on_segment) |
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{ |
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// 0 <= ra <= 1 and 0 <= rb <= 1 |
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// Now check if one of them is 0 or 1, these are "touch" cases |
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bool a = math::equals(ra, 0.0) || math::equals(ra, 1.0); |
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bool b = math::equals(rb, 0.0) || math::equals(rb, 1.0); |
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if (a && b) |
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{ |
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// Touch boundary/boundary: i-i == -1, i-b == -1, b-b == 0 |
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// Opposite: if both are equal they touch in opposite direction |
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return de9im_segment(ra,rb, |
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-1, -1, 1, |
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-1, 0, 0, |
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1, 0, 2, false, math::equals(ra,rb)); |
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} |
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else if (a || b) |
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{ |
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// Touch boundary/interior: i-i == -1, i-b == -1 or 0, b-b == -1 |
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int A = a ? 0 : -1; |
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int B = b ? 0 : -1; |
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return de9im_segment(ra,rb, |
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-1, B, 1, |
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A, -1, 0, |
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1, 0, 2); |
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} |
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// Intersects: i-i == 0, i-b == -1, i-e == 1 |
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return de9im_segment(ra,rb, |
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0, -1, 1, |
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-1, -1, 0, |
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1, 0, 2); |
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} |
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// Not on segment, disjoint |
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return de9im_segment(ra,rb, |
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-1, -1, 1, |
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-1, -1, 0, |
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1, 0, 2); |
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} |
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static inline return_type collinear_touch(coordinate_type const& x, |
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coordinate_type const& y, bool opposite, char) |
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{ |
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return de9im_segment(0,0, |
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-1, -1, 1, |
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-1, 0, 0, |
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1, 0, 2, |
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true, opposite); |
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} |
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template <typename S> |
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static inline return_type collinear_interior_boundary_intersect(S const& s, |
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bool a_within_b, bool opposite) |
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{ |
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return a_within_b |
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? de9im_segment(0,0, |
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1, -1, -1, |
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0, 0, -1, |
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1, 0, 2, |
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true, opposite) |
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: de9im_segment(0,0, |
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1, 0, 1, |
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-1, 0, 0, |
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-1, -1, 2, |
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true, opposite); |
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} |
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static inline return_type collinear_a_in_b(S1 const& s, bool opposite) |
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{ |
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return de9im_segment(0,0, |
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1, -1, -1, |
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0, -1, -1, |
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1, 0, 2, |
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true, opposite); |
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} |
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static inline return_type collinear_b_in_a(S2 const& s, bool opposite) |
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{ |
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return de9im_segment(0,0, |
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1, 0, 1, |
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-1, -1, 0, |
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-1, -1, 2, |
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true, opposite); |
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} |
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static inline return_type collinear_overlaps( |
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coordinate_type const& x1, coordinate_type const& y1, |
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coordinate_type const& x2, coordinate_type const& y2, bool opposite) |
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{ |
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return de9im_segment(0,0, |
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1, 0, 1, |
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0, -1, 0, |
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1, 0, 2, |
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true, opposite); |
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} |
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static inline return_type segment_equal(S1 const& s, bool opposite) |
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{ |
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return de9im_segment(0,0, |
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1, -1, -1, |
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-1, 0, -1, |
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-1, -1, 2, |
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true, opposite); |
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} |
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static inline return_type degenerate(S1 const& segment, bool a_degenerate) |
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{ |
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return a_degenerate |
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? de9im_segment(0,0, |
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0, -1, -1, |
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-1, -1, -1, |
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1, 0, 2, |
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false, false, false, true) |
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: de9im_segment(0,0, |
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0, -1, 1, |
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-1, -1, 0, |
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-1, -1, 2, |
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false, false, false, true); |
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} |
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static inline return_type collinear_disjoint() |
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{ |
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return de9im_segment(0,0, |
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-1, -1, 1, |
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-1, -1, 0, |
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1, 0, 2, |
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true); |
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} |
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static inline return_type parallel() |
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{ |
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return de9im_segment(0,0, |
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-1, -1, 1, |
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-1, -1, 0, |
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1, 0, 2, false, false, true); |
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} |
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}; |
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}} // namespace policies::relate |
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}} // namespace boost::geometry |
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#endif // BOOST_GEOMETRY_GEOMETRY_POLICIES_RELATE_DE9IM_HPP
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