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1// Boost.Geometry (aka GGL, Generic Geometry Library)
2
3// Copyright (c) 2011-2012 Barend Gehrels, Amsterdam, the Netherlands.
4
5// Parts of Boost.Geometry are redesigned from Geodan's Geographic Library
6// (geolib/GGL), copyright (c) 1995-2010 Geodan, Amsterdam, the Netherlands.
7
8// Use, modification and distribution is subject to the Boost Software License,
9// Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at
10// http://www.boost.org/LICENSE_1_0.txt)
11
12#ifndef BOOST_GEOMETRY_STRATEGY_AGNOSTIC_POINT_IN_POLY_ORIENTED_WINDING_HPP
13#define BOOST_GEOMETRY_STRATEGY_AGNOSTIC_POINT_IN_POLY_ORIENTED_WINDING_HPP
14
15
16#include <boost/geometry/core/point_order.hpp>
17#include <boost/geometry/util/math.hpp>
18#include <boost/geometry/util/select_calculation_type.hpp>
19
20#include <boost/geometry/strategies/side.hpp>
21#include <boost/geometry/strategies/within.hpp>
22
23
24namespace boost { namespace geometry
25{
26
27namespace strategy { namespace within
28{
29
30/*!
31\brief Within detection using winding rule, but checking if enclosing ring is
32 counter clockwise and, if so, reverses the result
33\ingroup strategies
34\tparam Point \tparam_point
35\tparam Reverse True if parameter should be reversed
36\tparam PointOfSegment \tparam_segment_point
37\tparam CalculationType \tparam_calculation
38\author Barend Gehrels
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39\note Only dependant on "side", -> agnostic, suitable for spherical/latlong
40
41\qbk{
42[heading See also]
43[link geometry.reference.algorithms.within.within_3_with_strategy within (with strategy)]
44}
45 */
46template
47<
48 bool Reverse,
49 typename Point,
50 typename PointOfSegment = Point,
51 typename CalculationType = void
52>
53class oriented_winding
54{
55 typedef typename select_calculation_type
56 <
57 Point,
58 PointOfSegment,
59 CalculationType
60 >::type calculation_type;
61
62
63 typedef typename strategy::side::services::default_strategy
64 <
65 typename cs_tag<Point>::type
66 >::type strategy_side_type;
67
68
69 /*! subclass to keep state */
70 class counter
71 {
72 int m_count;
73 bool m_touches;
74 calculation_type m_sum_area;
75
76 inline int code() const
77 {
78 return m_touches ? 0 : m_count == 0 ? -1 : 1;
79 }
80 inline int clockwise_oriented_code() const
81 {
82 return (m_sum_area > 0) ? code() : -code();
83 }
84 inline int oriented_code() const
85 {
86 return Reverse
87 ? -clockwise_oriented_code()
88 : clockwise_oriented_code();
89 }
90
91 public :
92 friend class oriented_winding;
93
94 inline counter()
95 : m_count(0)
96 , m_touches(false)
97 , m_sum_area(0)
98 {}
99
100 inline void add_to_area(calculation_type triangle)
101 {
102 m_sum_area += triangle;
103 }
104
105 };
106
107
108 template <size_t D>
109 static inline int check_touch(Point const& point,
110 PointOfSegment const& seg1, PointOfSegment const& seg2,
111 counter& state)
112 {
113 calculation_type const p = get<D>(point);
114 calculation_type const s1 = get<D>(seg1);
115 calculation_type const s2 = get<D>(seg2);
116 if ((s1 <= p && s2 >= p) || (s2 <= p && s1 >= p))
117 {
118 state.m_touches = true;
119 }
120 return 0;
121 }
122
123
124 template <size_t D>
125 static inline int check_segment(Point const& point,
126 PointOfSegment const& seg1, PointOfSegment const& seg2,
127 counter& state)
128 {
129 calculation_type const p = get<D>(point);
130 calculation_type const s1 = get<D>(seg1);
131 calculation_type const s2 = get<D>(seg2);
132
133
134 // Check if one of segment endpoints is at same level of point
135 bool eq1 = math::equals(s1, p);
136 bool eq2 = math::equals(s2, p);
137
138 if (eq1 && eq2)
139 {
140 // Both equal p -> segment is horizontal (or vertical for D=0)
141 // The only thing which has to be done is check if point is ON segment
142 return check_touch<1 - D>(point, seg1, seg2, state);
143 }
144
145 return
146 eq1 ? (s2 > p ? 1 : -1) // Point on level s1, UP/DOWN depending on s2
147 : eq2 ? (s1 > p ? -1 : 1) // idem
148 : s1 < p && s2 > p ? 2 // Point between s1 -> s2 --> UP
149 : s2 < p && s1 > p ? -2 // Point between s2 -> s1 --> DOWN
150 : 0;
151 }
152
153
154
155
156public :
157
158 // Typedefs and static methods to fulfill the concept
159 typedef Point point_type;
160 typedef PointOfSegment segment_point_type;
161 typedef counter state_type;
162
163 static inline bool apply(Point const& point,
164 PointOfSegment const& s1, PointOfSegment const& s2,
165 counter& state)
166 {
167 state.add_to_area(get<0>(s2) * get<1>(s1) - get<0>(s1) * get<1>(s2));
168
169 int count = check_segment<1>(point, s1, s2, state);
170 if (count != 0)
171 {
172 int side = strategy_side_type::apply(s1, s2, point);
173 if (side == 0)
174 {
175 // Point is lying on segment
176 state.m_touches = true;
177 state.m_count = 0;
178 return false;
179 }
180
181 // Side is NEG for right, POS for left.
182 // The count is -2 for down, 2 for up (or -1/1)
183 // Side positive thus means UP and LEFTSIDE or DOWN and RIGHTSIDE
184 // See accompagnying figure (TODO)
185 if (side * count > 0)
186 {
187 state.m_count += count;
188 }
189 }
190 return ! state.m_touches;
191 }
192
193 static inline int result(counter const& state)
194 {
195 return state.oriented_code();
196 }
197};
198
199
200}} // namespace strategy::within
201
202
203}} // namespace boost::geometry
204
205
206#endif // BOOST_GEOMETRY_STRATEGY_AGNOSTIC_POINT_IN_POLY_ORIENTED_WINDING_HPP