// 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. // Copyright (c) 2013-2023 Adam Wulkiewicz, Lodz, Poland. // This file was modified by Oracle on 2015-2024. // Modifications copyright (c) 2015-2024 Oracle and/or its affiliates. // Contributed and/or modified by Vissarion Fysikopoulos, on behalf of Oracle // Contributed and/or modified by Menelaos Karavelas, on behalf of Oracle // Contributed and/or modified by Adam Wulkiewicz, on behalf of Oracle // 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_POINT_IS_EQUAL_OR_SPIKE_HPP #define BOOST_GEOMETRY_ALGORITHMS_DETAIL_POINT_IS_EQUAL_OR_SPIKE_HPP #include #include #include #include #include namespace boost { namespace geometry { #ifndef DOXYGEN_NO_DETAIL namespace detail { // Checks if a point ("last_point") causes a spike w.r.t. // the specified two other points (segment_a, segment_b) // // x-------x------x // a lp b // // Above, lp generates a spike w.r.t. segment(a,b) // So specify last point first, then (a,b) // The segment's orientation does matter: if lp is to the right of b // no spike is reported template < typename Point1, typename Point2, typename Point3, typename SideStrategy > inline bool point_is_spike_or_equal(Point1 const& last_point, // prev | back Point2 const& segment_a, // next | back - 2 Point3 const& segment_b, // curr | back - 1 | spike's vertex SideStrategy const& strategy) { using cs_tag = typename SideStrategy::cs_tag; int const side = strategy.apply(segment_a, segment_b, last_point); if (side == 0) { // Last point is collinear w.r.t previous segment. return direction_code(segment_a, segment_b, last_point) < 1; } return false; } template < typename Point1, typename Point2, typename Point3, typename SideStrategy > inline bool point_is_collinear(Point1 const& last_point, Point2 const& segment_a, Point3 const& segment_b, SideStrategy const& strategy) { int const side = strategy.apply(segment_a, segment_b, last_point); if (side == 0) { return true; } return false; } //! Version with intuitive order (A, B, C). The original order was //! unclear (C, A, B). It was used in a different way in has_spikes. //! On longer term the C,A,B version can be deprecated template < typename Point1, typename Point2, typename Point3, typename SideStrategy > inline bool is_spike_or_equal(Point1 const& a, Point2 const& b, Point3 const& c, SideStrategy const& strategy) { return point_is_spike_or_equal(c, a, b, strategy); } } // namespace detail #endif }} // namespace boost::geometry #endif // BOOST_GEOMETRY_ALGORITHMS_DETAIL_POINT_IS_EQUAL_OR_SPIKE_HPP