add boost on mac

macx64/include/boost/geometry/arithmetic/cross_product.hpp

@@ -0,0 +1,128 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
+// Copyright (c) 2008-2012 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
+
+// This file was modified by Oracle on 2016.
+// Modifications copyright (c) 2016, Oracle and/or its affiliates.
+// Contributed and/or modified by Adam Wulkiewicz, on behalf of Oracle
+
+// 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_ARITHMETIC_CROSS_PRODUCT_HPP
+#define BOOST_GEOMETRY_ARITHMETIC_CROSS_PRODUCT_HPP
+
+
+#include <cstddef>
+
+#include <boost/mpl/assert.hpp>
+#include <boost/mpl/size_t.hpp>
+
+#include <boost/geometry/core/access.hpp>
+#include <boost/geometry/core/coordinate_dimension.hpp>
+
+#include <boost/geometry/geometries/concepts/point_concept.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail
+{
+
+template <std::size_t Dimension>
+struct cross_product
+{
+    // We define cross product only for 2d (see Wolfram) and 3d.
+    // In Math, it is also well-defined for 7-dimension.
+    // Generalisation of cross product to n-dimension is defined as
+    // wedge product but it is not direct analogue to binary cross product.
+    BOOST_MPL_ASSERT_MSG((false),
+                         NOT_IMPLEMENTED_FOR_THIS_DIMENSION,
+                         (mpl::size_t<Dimension>));
+};
+
+template <>
+struct cross_product<2>
+{
+    template <typename P1, typename P2, typename ResultP>
+    static inline void apply(P1 const& p1, P2 const& p2, ResultP& result)
+    {
+        assert_dimension<P1, 2>();
+        assert_dimension<P2, 2>();
+        assert_dimension<ResultP, 2>();
+
+        // For 2-dimensions, analog of the cross product U(x,y) and V(x,y) is
+        // Ux * Vy - Uy * Vx
+        // which is returned as 0-component (or X) of 2d vector, 1-component is undefined.
+        set<0>(result, get<0>(p1) * get<1>(p2) - get<1>(p1) * get<0>(p2));
+    }
+};
+
+template <>
+struct cross_product<3>
+{
+    template <typename P1, typename P2, typename ResultP>
+    static inline void apply(P1 const& p1, P2 const& p2, ResultP& result)
+    {
+        assert_dimension<P1, 3>();
+        assert_dimension<P2, 3>();
+        assert_dimension<ResultP, 3>();
+
+        set<0>(result, get<1>(p1) * get<2>(p2) - get<2>(p1) * get<1>(p2));
+        set<1>(result, get<2>(p1) * get<0>(p2) - get<0>(p1) * get<2>(p2));
+        set<2>(result, get<0>(p1) * get<1>(p2) - get<1>(p1) * get<0>(p2));
+    }
+};
+
+} // namespace detail
+#endif // DOXYGEN_NO_DETAIL
+
+
+/*!
+\brief Computes the cross product of two vectors.
+\details All vectors should have the same dimension, 3 or 2.
+\ingroup arithmetic
+\param p1 first vector
+\param p2 second vector
+\return the cross product vector
+ */
+template <typename ResultP, typename P1, typename P2>
+inline ResultP cross_product(P1 const& p1, P2 const& p2)
+{
+    BOOST_CONCEPT_ASSERT( (concepts::Point<ResultP>) );
+    BOOST_CONCEPT_ASSERT( (concepts::ConstPoint<P1>) );
+    BOOST_CONCEPT_ASSERT( (concepts::ConstPoint<P2>) );
+
+    ResultP result;
+    detail::cross_product<dimension<ResultP>::value>::apply(p1, p2, result);
+    return result;
+}
+
+/*!
+\brief Computes the cross product of two vectors.
+\details All vectors should have the same dimension, 3 or 2.
+\ingroup arithmetic
+\param p1 first vector
+\param p2 second vector
+\return the cross product vector
+*/
+template <typename P>
+inline P cross_product(P const& p1, P const& p2)
+{
+    BOOST_CONCEPT_ASSERT((concepts::Point<P>));
+    BOOST_CONCEPT_ASSERT((concepts::ConstPoint<P>));
+
+    P result;
+    detail::cross_product<dimension<P>::value>::apply(p1, p2, result);
+    return result;
+}
+
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_ARITHMETIC_CROSS_PRODUCT_HPP