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1 // Boost.Geometry (aka GGL, Generic Geometry Library)
2
3 // Copyright (c) 2012-2015 Barend Gehrels, Amsterdam, the Netherlands.
4
5 // This file was modified by Oracle on 2015.
6 // Modifications copyright (c) 2015, Oracle and/or its affiliates.
7
8 // Contributed and/or modified by Menelaos Karavelas, on behalf of Oracle
9
10 // Use, modification and distribution is subject to the Boost Software License,
11 // Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at
12 // http://www.boost.org/LICENSE_1_0.txt)
13
14 #ifndef BOOST_GEOMETRY_STRATEGIES_CARTESIAN_BUFFER_END_ROUND_HPP
15 #define BOOST_GEOMETRY_STRATEGIES_CARTESIAN_BUFFER_END_ROUND_HPP
16
17 #include <boost/core/ignore_unused.hpp>
18
19 #include <boost/geometry/core/cs.hpp>
20 #include <boost/geometry/strategies/tags.hpp>
21 #include <boost/geometry/util/math.hpp>
22 #include <boost/geometry/util/select_most_precise.hpp>
23
24 #include <boost/geometry/strategies/buffer.hpp>
25
26
27 #include <boost/geometry/io/wkt/wkt.hpp>
28
29 namespace boost { namespace geometry
30 {
31
32
33 namespace strategy { namespace buffer
34 {
35
36
37 /*!
38 \brief Let the buffer create rounded ends
39 \ingroup strategies
40 \details This strategy can be used as EndStrategy for the buffer algorithm.
41 It creates a rounded end for each linestring-end. It can be applied
42 for (multi)linestrings. Also it is applicable for spikes in (multi)polygons.
43 This strategy is only applicable for Cartesian coordinate systems.
44
45 \qbk{
46 [heading Example]
47 [buffer_end_round]
48 [heading Output]
49 [$img/strategies/buffer_end_round.png]
50 [heading See also]
51 \* [link geometry.reference.algorithms.buffer.buffer_7_with_strategies buffer (with strategies)]
52 \* [link geometry.reference.strategies.strategy_buffer_end_flat end_flat]
53 }
54 */
55 class end_round
56 {
57 private :
58 std::size_t m_points_per_circle;
59
60 template
61 <
62 typename Point,
63 typename PromotedType,
64 typename DistanceType,
65 typename RangeOut
66 >
67 inline void generate_points(Point const& point,
68 PromotedType alpha, // by value
69 DistanceType const& buffer_distance,
70 RangeOut& range_out) const
71 {
72 PromotedType const two_pi = geometry::math::two_pi<PromotedType>();
73
74 std::size_t point_buffer_count = m_points_per_circle;
75
76 PromotedType const diff = two_pi / PromotedType(point_buffer_count);
77
78 // For half circle:
79 point_buffer_count /= 2;
80 point_buffer_count++;
81
82 for (std::size_t i = 0; i < point_buffer_count; i++, alpha -= diff)
83 {
84 typename boost::range_value<RangeOut>::type p;
85 set<0>(p, get<0>(point) + buffer_distance * cos(alpha));
86 set<1>(p, get<1>(point) + buffer_distance * sin(alpha));
87 range_out.push_back(p);
88 }
89 }
90
91 template <typename T, typename P1, typename P2>
92 static inline T calculate_angle(P1 const& from_point, P2 const& to_point)
93 {
94 typedef P1 vector_type;
95 vector_type v = from_point;
96 geometry::subtract_point(v, to_point);
97 return atan2(geometry::get<1>(v), geometry::get<0>(v));
98 }
99
100 public :
101
102 //! \brief Constructs the strategy
103 //! \param points_per_circle points which would be used for a full circle
104 //! (if points_per_circle is smaller than 4, it is internally set to 4)
105 explicit inline end_round(std::size_t points_per_circle = 90)
106 : m_points_per_circle((points_per_circle < 4u) ? 4u : points_per_circle)
107 {}
108
109 #ifndef DOXYGEN_SHOULD_SKIP_THIS
110
111 //! Fills output_range with a flat end
112 template <typename Point, typename RangeOut, typename DistanceStrategy>
113 inline void apply(Point const& penultimate_point,
114 Point const& perp_left_point,
115 Point const& ultimate_point,
116 Point const& perp_right_point,
117 buffer_side_selector side,
118 DistanceStrategy const& distance,
119 RangeOut& range_out) const
120 {
121 boost::ignore_unused(perp_left_point);
122 typedef typename coordinate_type<Point>::type coordinate_type;
123
124 typedef typename geometry::select_most_precise
125 <
126 coordinate_type,
127 double
128 >::type promoted_type;
129
130 promoted_type const dist_left = distance.apply(penultimate_point, ultimate_point, buffer_side_left);
131 promoted_type const dist_right = distance.apply(penultimate_point, ultimate_point, buffer_side_right);
132 promoted_type const alpha
133 = calculate_angle<promoted_type>(penultimate_point, ultimate_point)
134 - geometry::math::half_pi<promoted_type>();
135
136 if (geometry::math::equals(dist_left, dist_right))
137 {
138 generate_points(ultimate_point, alpha, dist_left, range_out);
139 }
140 else
141 {
142 static promoted_type const two = 2.0;
143 promoted_type const dist_average = (dist_left + dist_right) / two;
144 promoted_type const dist_half
145 = (side == buffer_side_right
146 ? (dist_right - dist_left)
147 : (dist_left - dist_right)) / two;
148
149 Point shifted_point;
150 set<0>(shifted_point, get<0>(ultimate_point) + dist_half * cos(alpha));
151 set<1>(shifted_point, get<1>(ultimate_point) + dist_half * sin(alpha));
152 generate_points(shifted_point, alpha, dist_average, range_out);
153 }
154
155 if (m_points_per_circle % 2 == 1)
156 {
157 // For a half circle, if the number of points is not even,
158 // we should insert the end point too, to generate a full cap
159 range_out.push_back(perp_right_point);
160 }
161 }
162
163 template <typename NumericType>
164 static inline NumericType max_distance(NumericType const& distance)
165 {
166 return distance;
167 }
168
169 //! Returns the piece_type (flat end)
170 static inline piece_type get_piece_type()
171 {
172 return buffered_round_end;
173 }
174 #endif // DOXYGEN_SHOULD_SKIP_THIS
175 };
176
177
178 }} // namespace strategy::buffer
179
180 }} // namespace boost::geometry
181
182 #endif // BOOST_GEOMETRY_STRATEGIES_CARTESIAN_BUFFER_END_ROUND_HPP