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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_JOIN_ROUND_HPP
+#define BOOST_GEOMETRY_STRATEGIES_CARTESIAN_BUFFER_JOIN_ROUND_HPP
+
+#include <boost/assert.hpp>
+#include <boost/geometry/core/cs.hpp>
+#include <boost/geometry/policies/compare.hpp>
+#include <boost/geometry/strategies/buffer.hpp>
+#include <boost/geometry/util/math.hpp>
+#include <boost/geometry/util/select_most_precise.hpp>
+
+#ifdef BOOST_GEOMETRY_DEBUG_BUFFER_WARN
+#include <boost/geometry/io/wkt/wkt.hpp>
+#endif
+
+
+namespace boost { namespace geometry
+{
+
+
+namespace strategy { namespace buffer
+{
+
+/*!
+\brief Let the buffer create rounded corners
+\ingroup strategies
+\details This strategy can be used as JoinStrategy for the buffer algorithm.
+ It creates a rounded corners around each convex vertex. It can be applied
+ for (multi)linestrings and (multi)polygons.
+ This strategy is only applicable for Cartesian coordinate systems.
+
+\qbk{
+[heading Example]
+[buffer_join_round]
+[heading Output]
+[$img/strategies/buffer_join_round.png]
+[heading See also]
+\* [link geometry.reference.algorithms.buffer.buffer_7_with_strategies buffer (with strategies)]
+\* [link geometry.reference.strategies.strategy_buffer_join_miter join_miter]
+}
+ */
+class join_round
+{
+public :
+
+ //! \brief Constructs the strategy
+ //! \param points_per_circle points which would be used for a full circle
+ explicit inline join_round(std::size_t points_per_circle = 90)
+ : m_points_per_circle(points_per_circle)
+ {}
+
+private :
+ template
+ <
+ typename PromotedType,
+ typename Point,
+ typename DistanceType,
+ typename RangeOut
+ >
+ inline void generate_points(Point const& vertex,
+ Point const& perp1, Point const& perp2,
+ DistanceType const& buffer_distance,
+ RangeOut& range_out) const
+ {
+ PromotedType dx1 = get<0>(perp1) - get<0>(vertex);
+ PromotedType dy1 = get<1>(perp1) - get<1>(vertex);
+ PromotedType dx2 = get<0>(perp2) - get<0>(vertex);
+ PromotedType dy2 = get<1>(perp2) - get<1>(vertex);
+
+ BOOST_ASSERT(buffer_distance != 0);
+
+ dx1 /= buffer_distance;
+ dy1 /= buffer_distance;
+ dx2 /= buffer_distance;
+ dy2 /= buffer_distance;
+
+ PromotedType angle_diff = acos(dx1 * dx2 + dy1 * dy2);
+
+ PromotedType two = 2.0;
+ PromotedType steps = m_points_per_circle;
+ int n = boost::numeric_cast<int>(steps * angle_diff
+ / (two * geometry::math::pi<PromotedType>()));
+
+ if (n <= 1)
+ {
+ return;
+ }
+
+ PromotedType const angle1 = atan2(dy1, dx1);
+ PromotedType diff = angle_diff / PromotedType(n);
+ PromotedType a = angle1 - diff;
+
+ for (int i = 0; i < n - 1; i++, a -= diff)
+ {
+ Point p;
+ set<0>(p, get<0>(vertex) + buffer_distance * cos(a));
+ set<1>(p, get<1>(vertex) + buffer_distance * sin(a));
+ range_out.push_back(p);
+ }
+ }
+
+public :
+
+
+#ifndef DOXYGEN_SHOULD_SKIP_THIS
+ //! Fills output_range with a rounded shape around a vertex
+ template <typename Point, typename DistanceType, typename RangeOut>
+ inline bool apply(Point const& ip, Point const& vertex,
+ Point const& perp1, Point const& perp2,
+ DistanceType const& buffer_distance,
+ RangeOut& range_out) const
+ {
+ typedef typename coordinate_type<Point>::type coordinate_type;
+ typedef typename boost::range_value<RangeOut>::type output_point_type;
+
+ typedef typename geometry::select_most_precise
+ <
+ typename geometry::select_most_precise
+ <
+ coordinate_type,
+ typename geometry::coordinate_type<output_point_type>::type
+ >::type,
+ double
+ >::type promoted_type;
+
+ geometry::equal_to<Point> equals;
+ if (equals(perp1, perp2))
+ {
+#ifdef BOOST_GEOMETRY_DEBUG_BUFFER_WARN
+ std::cout << "Corner for equal points " << geometry::wkt(ip) << " " << geometry::wkt(perp1) << std::endl;
+#endif
+ return false;
+ }
+
+ // Generate 'vectors'
+ coordinate_type vix = (get<0>(ip) - get<0>(vertex));
+ coordinate_type viy = (get<1>(ip) - get<1>(vertex));
+
+ promoted_type length_i = geometry::math::sqrt(vix * vix + viy * viy);
+ DistanceType const bd = geometry::math::abs(buffer_distance);
+ promoted_type prop = bd / length_i;
+
+ Point bp;
+ set<0>(bp, get<0>(vertex) + vix * prop);
+ set<1>(bp, get<1>(vertex) + viy * prop);
+
+ range_out.push_back(perp1);
+ generate_points<promoted_type>(vertex, perp1, perp2, bd, range_out);
+ range_out.push_back(perp2);
+ return true;
+ }
+
+ template <typename NumericType>
+ static inline NumericType max_distance(NumericType const& distance)
+ {
+ return distance;
+ }
+
+#endif // DOXYGEN_SHOULD_SKIP_THIS
+
+private :
+ std::size_t m_points_per_circle;
+};
+
+
+}} // namespace strategy::buffer
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_STRATEGIES_CARTESIAN_BUFFER_JOIN_ROUND_HPP