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 
27 namespace boost { namespace geometry
28 {
29 
30 
31 namespace 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  */
53 class end_round
54 {
55 private :
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     >
generate_points(Point const & point,PromotedType alpha,DistanceType const & buffer_distance,RangeOut & range_out) const65     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>
calculate_angle(P1 const & from_point,P2 const & to_point)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 
98 public :
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)
end_round(std::size_t points_per_circle=90)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>
apply(Point const & penultimate_point,Point const & perp_left_point,Point const & ultimate_point,Point const & perp_right_point,buffer_side_selector side,DistanceStrategy const & distance,RangeOut & range_out) const111     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>
max_distance(NumericType const & distance)160     static inline NumericType max_distance(NumericType const& distance)
161     {
162         return distance;
163     }
164 
165     //! Returns the piece_type (flat end)
get_piece_type()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
179