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+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2012-2014 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_STRATEGIES_CARTESIAN_BUFFER_END_ROUND_HPP
+#define BOOST_GEOMETRY_STRATEGIES_CARTESIAN_BUFFER_END_ROUND_HPP
+
+#include <boost/geometry/core/cs.hpp>
+#include <boost/geometry/strategies/tags.hpp>
+#include <boost/geometry/util/math.hpp>
+#include <boost/geometry/util/select_most_precise.hpp>
+
+#include <boost/geometry/strategies/buffer.hpp>
+
+
+#include <boost/geometry/io/wkt/wkt.hpp>
+
+namespace boost { namespace geometry
+{
+
+
+namespace strategy { namespace buffer
+{
+
+
+/*!
+\brief Let the buffer create rounded ends
+\ingroup strategies
+\details This strategy can be used as EndStrategy for the buffer algorithm.
+ It creates a rounded end for each linestring-end. It can be applied
+ for (multi)linestrings. Also it is applicable for spikes in (multi)polygons.
+ This strategy is only applicable for Cartesian coordinate systems.
+
+\qbk{
+[heading Example]
+[buffer_end_round]
+[heading Output]
+[$img/strategies/buffer_end_round.png]
+[heading See also]
+\* [link geometry.reference.algorithms.buffer.buffer_7_with_strategies buffer (with strategies)]
+\* [link geometry.reference.strategies.strategy_buffer_end_flat end_flat]
+}
+ */
+class end_round
+{
+private :
+ std::size_t m_points_per_circle;
+
+ template
+ <
+ typename Point,
+ typename PromotedType,
+ typename DistanceType,
+ typename RangeOut
+ >
+ inline void generate_points(Point const& point,
+ PromotedType alpha, // by value
+ DistanceType const& buffer_distance,
+ RangeOut& range_out) const
+ {
+ PromotedType const two = 2.0;
+ PromotedType const two_pi = two * geometry::math::pi<PromotedType>();
+
+ std::size_t point_buffer_count = m_points_per_circle;
+
+ PromotedType const diff = two_pi / PromotedType(point_buffer_count);
+
+ // For half circle:
+ point_buffer_count /= 2;
+ point_buffer_count++;
+
+ for (std::size_t i = 0; i < point_buffer_count; i++, alpha -= diff)
+ {
+ typename boost::range_value<RangeOut>::type p;
+ set<0>(p, get<0>(point) + buffer_distance * cos(alpha));
+ set<1>(p, get<1>(point) + buffer_distance * sin(alpha));
+ range_out.push_back(p);
+ }
+ }
+
+ template <typename T, typename P1, typename P2>
+ static inline T calculate_angle(P1 const& from_point, P2 const& to_point)
+ {
+ typedef P1 vector_type;
+ vector_type v = from_point;
+ geometry::subtract_point(v, to_point);
+ return atan2(geometry::get<1>(v), geometry::get<0>(v));
+ }
+
+public :
+
+ //! \brief Constructs the strategy
+ //! \param points_per_circle points which would be used for a full circle
+ explicit inline end_round(std::size_t points_per_circle = 90)
+ : m_points_per_circle(points_per_circle)
+ {}
+
+#ifndef DOXYGEN_SHOULD_SKIP_THIS
+
+ //! Fills output_range with a flat end
+ template <typename Point, typename RangeOut, typename DistanceStrategy>
+ inline void apply(Point const& penultimate_point,
+ Point const& perp_left_point,
+ Point const& ultimate_point,
+ Point const& ,
+ buffer_side_selector side,
+ DistanceStrategy const& distance,
+ RangeOut& range_out) const
+ {
+ typedef typename coordinate_type<Point>::type coordinate_type;
+
+ typedef typename geometry::select_most_precise
+ <
+ coordinate_type,
+ double
+ >::type promoted_type;
+
+ promoted_type const alpha = calculate_angle<promoted_type>(perp_left_point, ultimate_point);
+
+ promoted_type const dist_left = distance.apply(penultimate_point, ultimate_point, buffer_side_left);
+ promoted_type const dist_right = distance.apply(penultimate_point, ultimate_point, buffer_side_right);
+ if (geometry::math::equals(dist_left, dist_right))
+ {
+ generate_points(ultimate_point, alpha, dist_left, range_out);
+ }
+ else
+ {
+ promoted_type const two = 2.0;
+ promoted_type dist_half_diff = (dist_left - dist_right) / two;
+
+ if (side == buffer_side_right)
+ {
+ dist_half_diff = -dist_half_diff;
+ }
+
+ Point shifted_point;
+ set<0>(shifted_point, get<0>(ultimate_point) + dist_half_diff * cos(alpha));
+ set<1>(shifted_point, get<1>(ultimate_point) + dist_half_diff * sin(alpha));
+ generate_points(shifted_point, alpha, (dist_left + dist_right) / two, range_out);
+ }
+ }
+
+ template <typename NumericType>
+ static inline NumericType max_distance(NumericType const& distance)
+ {
+ return distance;
+ }
+
+ //! Returns the piece_type (flat end)
+ static inline piece_type get_piece_type()
+ {
+ return buffered_round_end;
+ }
+#endif // DOXYGEN_SHOULD_SKIP_THIS
+};
+
+
+}} // namespace strategy::buffer
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_STRATEGIES_CARTESIAN_BUFFER_END_ROUND_HPP