add boost on mac

macx64/include/boost/geometry/strategies/cartesian/area.hpp

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+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+// Copyright (c) 2017 Adam Wulkiewicz, Lodz, Poland.
+
+// This file was modified by Oracle on 2016, 2017, 2018.
+// Modifications copyright (c) 2016-2018, Oracle and/or its affiliates.
+
+// Contributed and/or modified by Adam Wulkiewicz, on behalf of Oracle
+
+// Parts of Boost.Geometry are redesigned from Geodan's Geographic Library
+// (geolib/GGL), copyright (c) 1995-2010 Geodan, 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_AREA_HPP
+#define BOOST_GEOMETRY_STRATEGIES_CARTESIAN_AREA_HPP
+
+
+#include <boost/mpl/if.hpp>
+
+//#include <boost/geometry/arithmetic/determinant.hpp>
+#include <boost/geometry/core/access.hpp>
+#include <boost/geometry/core/coordinate_type.hpp>
+#include <boost/geometry/core/coordinate_dimension.hpp>
+#include <boost/geometry/strategies/area.hpp>
+#include <boost/geometry/util/select_most_precise.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+namespace strategy { namespace area
+{
+
+/*!
+\brief Cartesian area calculation
+\ingroup strategies
+\details Calculates cartesian area using the trapezoidal rule
+\tparam CalculationType \tparam_calculation
+
+\qbk{
+[heading See also]
+[link geometry.reference.algorithms.area.area_2_with_strategy area (with strategy)]
+}
+
+*/
+template
+<
+    typename CalculationType = void
+>
+class cartesian
+{
+public :
+    template <typename Geometry>
+    struct result_type
+        : strategy::area::detail::result_type
+            <
+                Geometry,
+                CalculationType
+            >
+    {};
+    
+    template <typename Geometry>
+    class state
+    {
+        friend class cartesian;
+
+        typedef typename result_type<Geometry>::type return_type;
+
+    public:        
+        inline state()
+            : sum(0)
+        {
+            // Strategy supports only 2D areas
+            assert_dimension<Geometry, 2>();
+        }
+
+    private:
+        inline return_type area() const
+        {
+            return_type const two = 2;
+            return sum / two;
+        }
+
+        return_type sum;
+    };
+
+    template <typename PointOfSegment, typename Geometry>
+    static inline void apply(PointOfSegment const& p1,
+                             PointOfSegment const& p2,
+                             state<Geometry>& st)
+    {
+        typedef typename state<Geometry>::return_type return_type;
+
+        // Below formulas are equivalent, however the two lower ones
+        // suffer less from accuracy loss for great values of coordinates.
+        // See: https://svn.boost.org/trac/boost/ticket/11928
+
+        // SUM += x2 * y1 - x1 * y2;
+        // state.sum += detail::determinant<return_type>(p2, p1);
+
+        // SUM += (x2 - x1) * (y2 + y1)
+        //state.sum += (return_type(get<0>(p2)) - return_type(get<0>(p1)))
+        //           * (return_type(get<1>(p2)) + return_type(get<1>(p1)));
+
+        // SUM += (x1 + x2) * (y1 - y2)
+        st.sum += (return_type(get<0>(p1)) + return_type(get<0>(p2)))
+                * (return_type(get<1>(p1)) - return_type(get<1>(p2)));
+    }
+
+    template <typename Geometry>
+    static inline typename result_type<Geometry>::type
+        result(state<Geometry>& st)
+    {
+        return st.area();
+    }
+
+};
+
+#ifndef DOXYGEN_NO_STRATEGY_SPECIALIZATIONS
+
+namespace services
+{
+    template <>
+    struct default_strategy<cartesian_tag>
+    {
+        typedef strategy::area::cartesian<> type;
+    };
+
+} // namespace services
+
+#endif // DOXYGEN_NO_STRATEGY_SPECIALIZATIONS
+
+
+}} // namespace strategy::area
+
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_STRATEGIES_CARTESIAN_AREA_HPP