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- // Boost.Geometry (aka GGL, Generic Geometry Library)
- // Copyright (c) 2007-2012 Barend Gehrels, 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_GEOMETRY_POLICIES_RELATE_DIRECTION_HPP
- #define BOOST_GEOMETRY_GEOMETRY_POLICIES_RELATE_DIRECTION_HPP
- #include <cstddef>
- #include <string>
- #include <boost/concept_check.hpp>
- #include <boost/geometry/arithmetic/determinant.hpp>
- #include <boost/geometry/strategies/side_info.hpp>
- #include <boost/geometry/util/math.hpp>
- #include <boost/geometry/util/select_calculation_type.hpp>
- #include <boost/geometry/util/select_most_precise.hpp>
- namespace boost { namespace geometry
- {
- namespace policies { namespace relate
- {
- struct direction_type
- {
- // NOTE: "char" will be replaced by enum in future version
- inline direction_type(side_info const& s, char h,
- int ha, int hb,
- int da = 0, int db = 0,
- bool op = false)
- : how(h)
- , opposite(op)
- , how_a(ha)
- , how_b(hb)
- , dir_a(da)
- , dir_b(db)
- , sides(s)
- {
- arrival[0] = ha;
- arrival[1] = hb;
- }
- inline direction_type(char h, bool op, int ha = 0, int hb = 0)
- : how(h)
- , opposite(op)
- , how_a(ha)
- , how_b(hb)
- , dir_a(0)
- , dir_b(0)
- {
- arrival[0] = ha;
- arrival[1] = hb;
- }
- // TODO: replace this
- // NOTE: "char" will be replaced by enum in future version
- // "How" is the intersection formed?
- char how;
- // Is it opposite (for collinear/equal cases)
- bool opposite;
- // Information on how A arrives at intersection, how B arrives at intersection
- // 1: arrives at intersection
- // -1: starts from intersection
- int how_a;
- int how_b;
- // Direction: how is A positioned from B
- // 1: points left, seen from IP
- // -1: points right, seen from IP
- // In case of intersection: B's TO direction
- // In case that B's TO direction is at A: B's from direction
- // In collinear cases: it is 0
- int dir_a; // Direction of A-s TO from IP
- int dir_b; // Direction of B-s TO from IP
- // New information
- side_info sides;
- int arrival[2]; // 1=arrival, -1departure, 0=neutral; == how_a//how_b
- // About arrival[0] (== arrival of a2 w.r.t. b) for COLLINEAR cases
- // Arrival 1: a1--------->a2 (a arrives within b)
- // b1----->b2
- // Arrival 1: (a in b)
- //
- // Arrival -1: a1--------->a2 (a does not arrive within b)
- // b1----->b2
- // Arrival -1: (b in a) a_1-------------a_2
- // b_1---b_2
- // Arrival 0: a1------->a2 (a arrives at TO-border of b)
- // b1--->b2
- };
- template <typename S1, typename S2, typename CalculationType = void>
- struct segments_direction
- {
- typedef direction_type return_type;
- typedef S1 segment_type1;
- typedef S2 segment_type2;
- typedef typename select_calculation_type
- <
- S1, S2, CalculationType
- >::type coordinate_type;
- // Get the same type, but at least a double
- typedef typename select_most_precise<coordinate_type, double>::type rtype;
- template <typename R>
- static inline return_type segments_intersect(side_info const& sides,
- R const&,
- coordinate_type const& dx1, coordinate_type const& dy1,
- coordinate_type const& dx2, coordinate_type const& dy2,
- S1 const& s1, S2 const& s2)
- {
- bool const ra0 = sides.get<0,0>() == 0;
- bool const ra1 = sides.get<0,1>() == 0;
- bool const rb0 = sides.get<1,0>() == 0;
- bool const rb1 = sides.get<1,1>() == 0;
- return
- // opposite and same starting point (FROM)
- ra0 && rb0 ? calculate_side<1>(sides, dx1, dy1, s1, s2, 'f', -1, -1)
- // opposite and point to each other (TO)
- : ra1 && rb1 ? calculate_side<0>(sides, dx1, dy1, s1, s2, 't', 1, 1)
- // not opposite, forming an angle, first a then b,
- // directed either both left, or both right
- // Check side of B2 from A. This is not calculated before
- : ra1 && rb0 ? angle<1>(sides, dx1, dy1, s1, s2, 'a', 1, -1)
- // not opposite, forming a angle, first b then a,
- // directed either both left, or both right
- : ra0 && rb1 ? angle<0>(sides, dx1, dy1, s1, s2, 'a', -1, 1)
- // b starts from interior of a
- : rb0 ? starts_from_middle(sides, dx1, dy1, s1, s2, 'B', 0, -1)
- // a starts from interior of b (#39)
- : ra0 ? starts_from_middle(sides, dx1, dy1, s1, s2, 'A', -1, 0)
- // b ends at interior of a, calculate direction of A from IP
- : rb1 ? b_ends_at_middle(sides, dx2, dy2, s1, s2)
- // a ends at interior of b
- : ra1 ? a_ends_at_middle(sides, dx1, dy1, s1, s2)
- // normal intersection
- : calculate_side<1>(sides, dx1, dy1, s1, s2, 'i', -1, -1)
- ;
- }
- static inline return_type collinear_touch(
- coordinate_type const& ,
- coordinate_type const& , int arrival_a, int arrival_b)
- {
- // Though this is 'collinear', we handle it as To/From/Angle because it is the same.
- // It only does NOT have a direction.
- side_info sides;
- //int const arrive = how == 'T' ? 1 : -1;
- bool opposite = arrival_a == arrival_b;
- return
- ! opposite
- ? return_type(sides, 'a', arrival_a, arrival_b)
- : return_type(sides, arrival_a == 0 ? 't' : 'f', arrival_a, arrival_b, 0, 0, true);
- }
- template <typename S>
- static inline return_type collinear_interior_boundary_intersect(S const& , bool,
- int arrival_a, int arrival_b, bool opposite)
- {
- return_type r('c', opposite);
- r.arrival[0] = arrival_a;
- r.arrival[1] = arrival_b;
- return r;
- }
- static inline return_type collinear_a_in_b(S1 const& , bool opposite)
- {
- return_type r('c', opposite);
- r.arrival[0] = 1;
- r.arrival[1] = -1;
- return r;
- }
- static inline return_type collinear_b_in_a(S2 const& , bool opposite)
- {
- return_type r('c', opposite);
- r.arrival[0] = -1;
- r.arrival[1] = 1;
- return r;
- }
- static inline return_type collinear_overlaps(
- coordinate_type const& , coordinate_type const& ,
- coordinate_type const& , coordinate_type const& ,
- int arrival_a, int arrival_b, bool opposite)
- {
- return_type r('c', opposite);
- r.arrival[0] = arrival_a;
- r.arrival[1] = arrival_b;
- return r;
- }
- static inline return_type segment_equal(S1 const& , bool opposite)
- {
- return return_type('e', opposite);
- }
- static inline return_type degenerate(S1 const& , bool)
- {
- return return_type('0', false);
- }
- static inline return_type disjoint()
- {
- return return_type('d', false);
- }
- static inline return_type collinear_disjoint()
- {
- return return_type('d', false);
- }
- static inline return_type error(std::string const&)
- {
- // Return "E" to denote error
- // This will throw an error in get_turn_info
- // TODO: change to enum or similar
- return return_type('E', false);
- }
- private :
- static inline bool is_left
- (
- coordinate_type const& ux,
- coordinate_type const& uy,
- coordinate_type const& vx,
- coordinate_type const& vy
- )
- {
- // This is a "side calculation" as in the strategies, but here terms are precalculated
- // We might merge this with side, offering a pre-calculated term (in fact already done using cross-product)
- // Waiting for implementing spherical...
- rtype const zero = rtype();
- return geometry::detail::determinant<rtype>(ux, uy, vx, vy) > zero;
- }
- template <std::size_t I>
- static inline return_type calculate_side(side_info const& sides,
- coordinate_type const& dx1, coordinate_type const& dy1,
- S1 const& s1, S2 const& s2,
- char how, int how_a, int how_b)
- {
- coordinate_type dpx = get<I, 0>(s2) - get<0, 0>(s1);
- coordinate_type dpy = get<I, 1>(s2) - get<0, 1>(s1);
- return is_left(dx1, dy1, dpx, dpy)
- ? return_type(sides, how, how_a, how_b, -1, 1)
- : return_type(sides, how, how_a, how_b, 1, -1);
- }
- template <std::size_t I>
- static inline return_type angle(side_info const& sides,
- coordinate_type const& dx1, coordinate_type const& dy1,
- S1 const& s1, S2 const& s2,
- char how, int how_a, int how_b)
- {
- coordinate_type dpx = get<I, 0>(s2) - get<0, 0>(s1);
- coordinate_type dpy = get<I, 1>(s2) - get<0, 1>(s1);
- return is_left(dx1, dy1, dpx, dpy)
- ? return_type(sides, how, how_a, how_b, 1, 1)
- : return_type(sides, how, how_a, how_b, -1, -1);
- }
- static inline return_type starts_from_middle(side_info const& sides,
- coordinate_type const& dx1, coordinate_type const& dy1,
- S1 const& s1, S2 const& s2,
- char which,
- int how_a, int how_b)
- {
- // Calculate ARROW of b segment w.r.t. s1
- coordinate_type dpx = get<1, 0>(s2) - get<0, 0>(s1);
- coordinate_type dpy = get<1, 1>(s2) - get<0, 1>(s1);
- int dir = is_left(dx1, dy1, dpx, dpy) ? 1 : -1;
- // From other perspective, then reverse
- bool const is_a = which == 'A';
- if (is_a)
- {
- dir = -dir;
- }
- return return_type(sides, 's',
- how_a,
- how_b,
- is_a ? dir : -dir,
- ! is_a ? dir : -dir);
- }
- // To be harmonized
- static inline return_type a_ends_at_middle(side_info const& sides,
- coordinate_type const& dx, coordinate_type const& dy,
- S1 const& s1, S2 const& s2)
- {
- coordinate_type dpx = get<1, 0>(s2) - get<0, 0>(s1);
- coordinate_type dpy = get<1, 1>(s2) - get<0, 1>(s1);
- // Ending at the middle, one ARRIVES, the other one is NEUTRAL
- // (because it both "arrives" and "departs" there
- return is_left(dx, dy, dpx, dpy)
- ? return_type(sides, 'm', 1, 0, 1, 1)
- : return_type(sides, 'm', 1, 0, -1, -1);
- }
- static inline return_type b_ends_at_middle(side_info const& sides,
- coordinate_type const& dx, coordinate_type const& dy,
- S1 const& s1, S2 const& s2)
- {
- coordinate_type dpx = get<1, 0>(s1) - get<0, 0>(s2);
- coordinate_type dpy = get<1, 1>(s1) - get<0, 1>(s2);
- return is_left(dx, dy, dpx, dpy)
- ? return_type(sides, 'm', 0, 1, 1, 1)
- : return_type(sides, 'm', 0, 1, -1, -1);
- }
- };
- }} // namespace policies::relate
- }} // namespace boost::geometry
- #endif // BOOST_GEOMETRY_GEOMETRY_POLICIES_RELATE_DIRECTION_HPP
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