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