feat():initial version
This commit is contained in:
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// Boost.Geometry (aka GGL, Generic Geometry Library)
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// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
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// Copyright (c) 2008-2012 Barend Gehrels, Amsterdam, the Netherlands.
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// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
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// Parts of Boost.Geometry are redesigned from Geodan's Geographic Library
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// (geolib/GGL), copyright (c) 1995-2010 Geodan, Amsterdam, the Netherlands.
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// Use, modification and distribution is subject to the Boost Software License,
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// Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at
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// http://www.boost.org/LICENSE_1_0.txt)
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#ifndef BOOST_GEOMETRY_ARITHMETIC_ARITHMETIC_HPP
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#define BOOST_GEOMETRY_ARITHMETIC_ARITHMETIC_HPP
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#include <functional>
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#include <boost/call_traits.hpp>
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#include <boost/concept/requires.hpp>
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#include <boost/geometry/core/coordinate_type.hpp>
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#include <boost/geometry/geometries/concepts/point_concept.hpp>
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#include <boost/geometry/util/for_each_coordinate.hpp>
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#include <boost/geometry/util/select_most_precise.hpp>
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namespace boost { namespace geometry
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{
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#ifndef DOXYGEN_NO_DETAIL
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namespace detail
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{
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template <typename Point>
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struct param
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{
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typedef typename boost::call_traits
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<
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typename coordinate_type<Point>::type
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>::param_type type;
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};
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template <typename Value, template <typename> class Function>
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struct value_operation
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{
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Value m_value;
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inline value_operation(Value const &value)
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: m_value(value)
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{}
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template <typename PointDst, std::size_t Index>
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inline void apply(PointDst& point_dst) const
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{
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set<Index>(point_dst,
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Function
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<
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typename geometry::select_most_precise
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<
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Value,
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typename geometry::coordinate_type<PointDst>::type
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>::type
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>()(get<Index>(point_dst), m_value));
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}
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};
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template <typename PointSrc, template <typename> class Function>
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struct point_operation
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{
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PointSrc const& m_point_src;
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inline point_operation(PointSrc const& point)
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: m_point_src(point)
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{}
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template <typename PointDst, std::size_t Index>
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inline void apply(PointDst& point_dst) const
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{
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set<Index>(point_dst,
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Function
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<
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typename geometry::select_most_precise
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<
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typename geometry::coordinate_type<PointSrc>::type,
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typename geometry::coordinate_type<PointDst>::type
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>::type
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>()(get<Index>(point_dst), get<Index>(m_point_src)));
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}
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};
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template <typename Value>
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struct value_assignment
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{
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Value m_value;
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inline value_assignment(Value const &value)
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: m_value(value)
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{}
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template <typename PointDst, std::size_t Index>
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inline void apply(PointDst& point_dst) const
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{
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set<Index>(point_dst, m_value);
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}
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};
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template <typename PointSrc>
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struct point_assignment
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{
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PointSrc const& m_point_src;
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inline point_assignment(PointSrc const& point)
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: m_point_src(point)
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{}
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template <typename PointDst, std::size_t Index>
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inline void apply(PointDst& point_dst) const
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{
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set<Index>(point_dst, get<Index>(m_point_src));
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}
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};
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} // namespace detail
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#endif // DOXYGEN_NO_DETAIL
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/*!
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\brief Adds the same value to each coordinate of a point
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\ingroup arithmetic
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\details
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\tparam Point \tparam_point
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\param p point
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\param value value to add
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*/
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template <typename Point>
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inline void add_value(Point& p, typename detail::param<Point>::type value)
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{
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BOOST_CONCEPT_ASSERT( (concepts::Point<Point>) );
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for_each_coordinate(p,
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detail::value_operation
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<
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typename coordinate_type<Point>::type,
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std::plus
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>(value));
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}
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/*!
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\brief Adds a point to another
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\ingroup arithmetic
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\details The coordinates of the second point will be added to those of the first point.
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The second point is not modified.
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\tparam Point1 \tparam_point
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\tparam Point2 \tparam_point
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\param p1 first point
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\param p2 second point
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*/
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template <typename Point1, typename Point2>
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inline void add_point(Point1& p1, Point2 const& p2)
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{
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BOOST_CONCEPT_ASSERT( (concepts::Point<Point1>) );
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BOOST_CONCEPT_ASSERT( (concepts::ConstPoint<Point2>) );
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for_each_coordinate(p1, detail::point_operation<Point2, std::plus>(p2));
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}
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/*!
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\brief Subtracts the same value to each coordinate of a point
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\ingroup arithmetic
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\details
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\tparam Point \tparam_point
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\param p point
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\param value value to subtract
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*/
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template <typename Point>
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inline void subtract_value(Point& p, typename detail::param<Point>::type value)
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{
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BOOST_CONCEPT_ASSERT( (concepts::Point<Point>) );
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for_each_coordinate(p,
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detail::value_operation
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<
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typename coordinate_type<Point>::type,
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std::minus
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>(value));
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}
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/*!
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\brief Subtracts a point to another
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\ingroup arithmetic
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\details The coordinates of the second point will be subtracted to those of the first point.
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The second point is not modified.
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\tparam Point1 \tparam_point
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\tparam Point2 \tparam_point
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\param p1 first point
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\param p2 second point
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*/
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template <typename Point1, typename Point2>
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inline void subtract_point(Point1& p1, Point2 const& p2)
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{
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BOOST_CONCEPT_ASSERT( (concepts::Point<Point1>) );
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BOOST_CONCEPT_ASSERT( (concepts::ConstPoint<Point2>) );
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for_each_coordinate(p1, detail::point_operation<Point2, std::minus>(p2));
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}
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/*!
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\brief Multiplies each coordinate of a point by the same value
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\ingroup arithmetic
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\details
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\tparam Point \tparam_point
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\param p point
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\param value value to multiply by
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*/
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template <typename Point>
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inline void multiply_value(Point& p, typename detail::param<Point>::type value)
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{
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BOOST_CONCEPT_ASSERT( (concepts::Point<Point>) );
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for_each_coordinate(p,
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detail::value_operation
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<
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typename coordinate_type<Point>::type,
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std::multiplies
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>(value));
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}
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/*!
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\brief Multiplies a point by another
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\ingroup arithmetic
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\details The coordinates of the first point will be multiplied by those of the second point.
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The second point is not modified.
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\tparam Point1 \tparam_point
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\tparam Point2 \tparam_point
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\param p1 first point
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\param p2 second point
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\note This is *not* a dot, cross or wedge product. It is a mere field-by-field multiplication.
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*/
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template <typename Point1, typename Point2>
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inline void multiply_point(Point1& p1, Point2 const& p2)
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{
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BOOST_CONCEPT_ASSERT( (concepts::Point<Point1>) );
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BOOST_CONCEPT_ASSERT( (concepts::ConstPoint<Point2>) );
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for_each_coordinate(p1, detail::point_operation<Point2, std::multiplies>(p2));
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}
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/*!
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\brief Divides each coordinate of the same point by a value
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\ingroup arithmetic
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\details
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\tparam Point \tparam_point
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\param p point
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\param value value to divide by
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*/
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template <typename Point>
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inline void divide_value(Point& p, typename detail::param<Point>::type value)
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{
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BOOST_CONCEPT_ASSERT( (concepts::Point<Point>) );
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for_each_coordinate(p,
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detail::value_operation
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<
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typename coordinate_type<Point>::type,
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std::divides
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>(value));
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}
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/*!
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\brief Divides a point by another
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\ingroup arithmetic
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\details The coordinates of the first point will be divided by those of the second point.
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The second point is not modified.
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\tparam Point1 \tparam_point
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\tparam Point2 \tparam_point
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\param p1 first point
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\param p2 second point
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*/
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template <typename Point1, typename Point2>
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inline void divide_point(Point1& p1, Point2 const& p2)
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{
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BOOST_CONCEPT_ASSERT( (concepts::Point<Point1>) );
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BOOST_CONCEPT_ASSERT( (concepts::ConstPoint<Point2>) );
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for_each_coordinate(p1, detail::point_operation<Point2, std::divides>(p2));
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}
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/*!
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\brief Assign each coordinate of a point the same value
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\ingroup arithmetic
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\details
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\tparam Point \tparam_point
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\param p point
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\param value value to assign
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*/
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template <typename Point>
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inline void assign_value(Point& p, typename detail::param<Point>::type value)
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{
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BOOST_CONCEPT_ASSERT( (concepts::Point<Point>) );
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for_each_coordinate(p,
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detail::value_assignment
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<
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typename coordinate_type<Point>::type
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>(value));
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}
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/*!
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\brief Assign a point with another
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\ingroup arithmetic
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\details The coordinates of the first point will be assigned those of the second point.
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The second point is not modified.
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\tparam Point1 \tparam_point
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\tparam Point2 \tparam_point
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\param p1 first point
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\param p2 second point
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*/
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template <typename Point1, typename Point2>
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inline void assign_point(Point1& p1, Point2 const& p2)
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{
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BOOST_CONCEPT_ASSERT( (concepts::Point<Point1>) );
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BOOST_CONCEPT_ASSERT( (concepts::ConstPoint<Point2>) );
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for_each_coordinate(p1, detail::point_assignment<Point2>(p2));
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}
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}} // namespace boost::geometry
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#endif // BOOST_GEOMETRY_ARITHMETIC_ARITHMETIC_HPP
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@@ -0,0 +1,210 @@
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// Boost.Geometry (aka GGL, Generic Geometry Library)
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// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
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// Copyright (c) 2008-2012 Barend Gehrels, Amsterdam, the Netherlands.
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// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
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// This file was modified by Oracle on 2016-2020.
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// Modifications copyright (c) 2016-2020, Oracle and/or its affiliates.
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// Contributed and/or modified by Adam Wulkiewicz, on behalf of Oracle
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// Use, modification and distribution is subject to the Boost Software License,
|
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// Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at
|
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// http://www.boost.org/LICENSE_1_0.txt)
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#ifndef BOOST_GEOMETRY_ARITHMETIC_CROSS_PRODUCT_HPP
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#define BOOST_GEOMETRY_ARITHMETIC_CROSS_PRODUCT_HPP
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#include <cstddef>
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#include <type_traits>
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#include <boost/geometry/core/access.hpp>
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#include <boost/geometry/core/make.hpp>
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#include <boost/geometry/core/coordinate_dimension.hpp>
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#include <boost/geometry/core/static_assert.hpp>
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#include <boost/geometry/geometries/concepts/point_concept.hpp>
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namespace boost { namespace geometry
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{
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#ifndef DOXYGEN_NO_DETAIL
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namespace detail
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{
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template <std::size_t Dimension>
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struct cross_product
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{
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// We define cross product only for 2d (see Wolfram) and 3d.
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// In Math, it is also well-defined for 7-dimension.
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// Generalisation of cross product to n-dimension is defined as
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// wedge product but it is not direct analogue to binary cross product.
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BOOST_GEOMETRY_STATIC_ASSERT_FALSE(
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"Not implemented for this Dimension.",
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std::integral_constant<std::size_t, Dimension>);
|
||||
};
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template <>
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struct cross_product<2>
|
||||
{
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template <typename P1, typename P2, typename ResultP>
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static void apply(P1 const& p1, P2 const& p2, ResultP& result)
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||||
{
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assert_dimension<P1, 2>();
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assert_dimension<P2, 2>();
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assert_dimension<ResultP, 2>();
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// For 2-dimensions, analog of the cross product U(x,y) and V(x,y) is
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// Ux * Vy - Uy * Vx
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// which is returned as 0-component (or X) of 2d vector, 1-component is undefined.
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set<0>(result, get<0>(p1) * get<1>(p2) - get<1>(p1) * get<0>(p2));
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||||
}
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||||
};
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||||
|
||||
template <>
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||||
struct cross_product<3>
|
||||
{
|
||||
template <typename P1, typename P2, typename ResultP>
|
||||
static void apply(P1 const& p1, P2 const& p2, ResultP& result)
|
||||
{
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||||
assert_dimension<P1, 3>();
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||||
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));
|
||||
}
|
||||
|
||||
template <typename ResultP, typename P1, typename P2>
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||||
static constexpr ResultP apply(P1 const& p1, P2 const& p2)
|
||||
{
|
||||
assert_dimension<P1, 3>();
|
||||
assert_dimension<P2, 3>();
|
||||
assert_dimension<ResultP, 3>();
|
||||
|
||||
return traits::make<ResultP>::apply(
|
||||
get<1>(p1) * get<2>(p2) - get<2>(p1) * get<1>(p2),
|
||||
get<2>(p1) * get<0>(p2) - get<0>(p1) * get<2>(p2),
|
||||
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,
|
||||
std::enable_if_t
|
||||
<
|
||||
dimension<ResultP>::value != 3
|
||||
|| ! traits::make<ResultP>::is_specialized,
|
||||
int
|
||||
> = 0
|
||||
>
|
||||
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;
|
||||
}
|
||||
|
||||
template
|
||||
<
|
||||
typename ResultP, typename P1, typename P2,
|
||||
std::enable_if_t
|
||||
<
|
||||
dimension<ResultP>::value == 3
|
||||
&& traits::make<ResultP>::is_specialized,
|
||||
int
|
||||
> = 0
|
||||
>
|
||||
// workaround for VS2015
|
||||
#if !defined(_MSC_VER) || (_MSC_VER >= 1910)
|
||||
constexpr
|
||||
#endif
|
||||
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>));
|
||||
|
||||
return detail::cross_product<3>::apply<ResultP>(p1, p2);
|
||||
}
|
||||
|
||||
/*!
|
||||
\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
|
||||
|
||||
\qbk{[heading Examples]}
|
||||
\qbk{[cross_product] [cross_product_output]}
|
||||
*/
|
||||
template
|
||||
<
|
||||
typename P,
|
||||
std::enable_if_t
|
||||
<
|
||||
dimension<P>::value != 3
|
||||
|| ! traits::make<P>::is_specialized,
|
||||
int
|
||||
> = 0
|
||||
>
|
||||
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;
|
||||
}
|
||||
|
||||
|
||||
template
|
||||
<
|
||||
typename P,
|
||||
std::enable_if_t
|
||||
<
|
||||
dimension<P>::value == 3
|
||||
&& traits::make<P>::is_specialized,
|
||||
int
|
||||
> = 0
|
||||
>
|
||||
// workaround for VS2015
|
||||
#if !defined(_MSC_VER) || (_MSC_VER >= 1910)
|
||||
constexpr
|
||||
#endif
|
||||
inline P cross_product(P const& p1, P const& p2)
|
||||
{
|
||||
BOOST_CONCEPT_ASSERT((concepts::Point<P>));
|
||||
BOOST_CONCEPT_ASSERT((concepts::ConstPoint<P>));
|
||||
|
||||
return detail::cross_product<3>::apply<P>(p1, p2);
|
||||
}
|
||||
|
||||
|
||||
}} // namespace boost::geometry
|
||||
|
||||
#endif // BOOST_GEOMETRY_ARITHMETIC_CROSS_PRODUCT_HPP
|
||||
@@ -0,0 +1,78 @@
|
||||
// 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.
|
||||
|
||||
// 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_DETERMINANT_HPP
|
||||
#define BOOST_GEOMETRY_ARITHMETIC_DETERMINANT_HPP
|
||||
|
||||
|
||||
#include <cstddef>
|
||||
|
||||
#include <boost/geometry/core/access.hpp>
|
||||
#include <boost/geometry/geometries/concepts/point_concept.hpp>
|
||||
#include <boost/geometry/util/select_coordinate_type.hpp>
|
||||
|
||||
#include <boost/numeric/conversion/cast.hpp>
|
||||
|
||||
namespace boost { namespace geometry
|
||||
{
|
||||
|
||||
#ifndef DOXYGEN_NO_DETAIL
|
||||
namespace detail
|
||||
{
|
||||
|
||||
template <typename ReturnType, typename U, typename V>
|
||||
class calculate_determinant
|
||||
{
|
||||
template <typename T>
|
||||
static inline ReturnType rt(T const& v)
|
||||
{
|
||||
return boost::numeric_cast<ReturnType>(v);
|
||||
}
|
||||
|
||||
public :
|
||||
|
||||
static inline ReturnType apply(U const& ux, U const& uy
|
||||
, V const& vx, V const& vy)
|
||||
{
|
||||
return rt(ux) * rt(vy) - rt(uy) * rt(vx);
|
||||
}
|
||||
};
|
||||
|
||||
template <typename ReturnType, typename U, typename V>
|
||||
inline ReturnType determinant(U const& ux, U const& uy
|
||||
, V const& vx, V const& vy)
|
||||
{
|
||||
return calculate_determinant
|
||||
<
|
||||
ReturnType, U, V
|
||||
>::apply(ux, uy, vx, vy);
|
||||
}
|
||||
|
||||
|
||||
template <typename ReturnType, typename U, typename V>
|
||||
inline ReturnType determinant(U const& u, V const& v)
|
||||
{
|
||||
BOOST_CONCEPT_ASSERT( (concepts::ConstPoint<U>) );
|
||||
BOOST_CONCEPT_ASSERT( (concepts::ConstPoint<V>) );
|
||||
|
||||
return calculate_determinant
|
||||
<
|
||||
ReturnType,
|
||||
typename geometry::coordinate_type<U>::type,
|
||||
typename geometry::coordinate_type<V>::type
|
||||
>::apply(get<0>(u), get<1>(u), get<0>(v), get<1>(v));
|
||||
}
|
||||
|
||||
} // namespace detail
|
||||
#endif // DOXYGEN_NO_DETAIL
|
||||
|
||||
}} // namespace boost::geometry
|
||||
|
||||
#endif // BOOST_GEOMETRY_ARITHMETIC_DETERMINANT_HPP
|
||||
@@ -0,0 +1,96 @@
|
||||
// Boost.Geometry (aka GGL, Generic Geometry Library)
|
||||
|
||||
// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
|
||||
// Copyright (c) 2008-2012 Barend Gehrels, Amsterdam, the Netherlands.
|
||||
// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
|
||||
|
||||
// This file was modified by Oracle on 2020.
|
||||
// Modifications copyright (c) 2020, 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_ARITHMETIC_DOT_PRODUCT_HPP
|
||||
#define BOOST_GEOMETRY_ARITHMETIC_DOT_PRODUCT_HPP
|
||||
|
||||
|
||||
#include <cstddef>
|
||||
|
||||
#include <boost/concept/requires.hpp>
|
||||
|
||||
#include <boost/geometry/geometries/concepts/point_concept.hpp>
|
||||
#include <boost/geometry/util/select_coordinate_type.hpp>
|
||||
|
||||
namespace boost { namespace geometry
|
||||
{
|
||||
|
||||
#ifndef DOXYGEN_NO_DETAIL
|
||||
namespace detail
|
||||
{
|
||||
|
||||
template <typename P1, typename P2, std::size_t Dimension, std::size_t DimensionCount>
|
||||
struct dot_product_maker
|
||||
{
|
||||
typedef typename select_coordinate_type<P1, P2>::type coordinate_type;
|
||||
|
||||
static constexpr coordinate_type apply(P1 const& p1, P2 const& p2)
|
||||
{
|
||||
return get<Dimension>(p1) * get<Dimension>(p2)
|
||||
+ dot_product_maker<P1, P2, Dimension+1, DimensionCount>::apply(p1, p2);
|
||||
}
|
||||
};
|
||||
|
||||
template <typename P1, typename P2, std::size_t DimensionCount>
|
||||
struct dot_product_maker<P1, P2, DimensionCount, DimensionCount>
|
||||
{
|
||||
typedef typename select_coordinate_type<P1, P2>::type coordinate_type;
|
||||
|
||||
static constexpr coordinate_type apply(P1 const& p1, P2 const& p2)
|
||||
{
|
||||
return get<DimensionCount>(p1) * get<DimensionCount>(p2);
|
||||
}
|
||||
};
|
||||
|
||||
} // namespace detail
|
||||
#endif // DOXYGEN_NO_DETAIL
|
||||
|
||||
|
||||
/*!
|
||||
\brief Computes the dot product (or scalar product) of 2 vectors (points).
|
||||
\ingroup arithmetic
|
||||
\tparam Point1 \tparam_point
|
||||
\tparam Point2 \tparam_point
|
||||
\param p1 first point
|
||||
\param p2 second point
|
||||
\return the dot product
|
||||
|
||||
\qbk{[heading Examples]}
|
||||
\qbk{[dot_product] [dot_product_output]}
|
||||
|
||||
*/
|
||||
template <typename Point1, typename Point2>
|
||||
// workaround for VS2015
|
||||
#if !defined(_MSC_VER) || (_MSC_VER >= 1910)
|
||||
constexpr
|
||||
#endif
|
||||
inline typename select_coordinate_type<Point1, Point2>::type dot_product(
|
||||
Point1 const& p1, Point2 const& p2)
|
||||
{
|
||||
BOOST_CONCEPT_ASSERT( (concepts::ConstPoint<Point1>) );
|
||||
BOOST_CONCEPT_ASSERT( (concepts::ConstPoint<Point2>) );
|
||||
|
||||
return detail::dot_product_maker
|
||||
<
|
||||
Point1, Point2,
|
||||
0, dimension<Point1>::type::value - 1
|
||||
>::apply(p1, p2);
|
||||
}
|
||||
|
||||
}} // namespace boost::geometry
|
||||
|
||||
#endif // BOOST_GEOMETRY_ARITHMETIC_DOT_PRODUCT_HPP
|
||||
@@ -0,0 +1,93 @@
|
||||
// Boost.Geometry
|
||||
|
||||
// Copyright (c) 2018-2019 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_ARITHMETIC_LINE_FUNCTIONS_HPP
|
||||
#define BOOST_GEOMETRY_ARITHMETIC_LINE_FUNCTIONS_HPP
|
||||
|
||||
#include <boost/geometry/core/access.hpp>
|
||||
#include <boost/geometry/core/config.hpp>
|
||||
#include <boost/geometry/geometries/infinite_line.hpp>
|
||||
#include <boost/geometry/util/math.hpp>
|
||||
#include <boost/geometry/util/select_most_precise.hpp>
|
||||
|
||||
namespace boost { namespace geometry
|
||||
{
|
||||
|
||||
namespace arithmetic
|
||||
{
|
||||
|
||||
// Calculates intersection point of two infinite lines.
|
||||
// Returns true if the lines intersect.
|
||||
// Returns false if lines are parallel (or collinear, possibly opposite)
|
||||
template <typename Point, typename Type>
|
||||
inline bool intersection_point(model::infinite_line<Type> const& p,
|
||||
model::infinite_line<Type> const& q, Point& ip)
|
||||
{
|
||||
Type const denominator = p.b * q.a - p.a * q.b;
|
||||
|
||||
static Type const zero = 0;
|
||||
if (math::equals(denominator, zero))
|
||||
{
|
||||
// Lines are parallel
|
||||
return false;
|
||||
}
|
||||
|
||||
// Calculate the intersection coordinates
|
||||
geometry::set<0>(ip, (p.c * q.b - p.b * q.c) / denominator);
|
||||
geometry::set<1>(ip, (p.a * q.c - p.c * q.a) / denominator);
|
||||
|
||||
return true;
|
||||
}
|
||||
|
||||
//! Return a distance-side-measure for a point to a line
|
||||
//! Point is located left of the line if value is positive,
|
||||
//! right of the line is value is negative, and on the line if the value
|
||||
//! is exactly zero
|
||||
template <typename Type, typename CoordinateType>
|
||||
inline
|
||||
typename select_most_precise<Type, CoordinateType>::type
|
||||
side_value(model::infinite_line<Type> const& line,
|
||||
CoordinateType const& x, CoordinateType const& y)
|
||||
{
|
||||
// https://en.wikipedia.org/wiki/Distance_from_a_point_to_a_line#Line_defined_by_an_equation
|
||||
// Distance from point to line in general form is given as:
|
||||
// (a * x + b * y + c) / sqrt(a * a + b * b);
|
||||
// In most use cases comparisons are enough, saving the sqrt
|
||||
// and often even the division.
|
||||
// Also, this gives positive values for points left to the line,
|
||||
// and negative values for points right to the line.
|
||||
return line.a * x + line.b * y + line.c;
|
||||
}
|
||||
|
||||
template <typename Type, typename Point>
|
||||
inline
|
||||
typename select_most_precise
|
||||
<
|
||||
Type,
|
||||
typename geometry::coordinate_type<Point>::type
|
||||
>::type
|
||||
side_value(model::infinite_line<Type> const& line, Point const& p)
|
||||
{
|
||||
return side_value(line, geometry::get<0>(p), geometry::get<1>(p));
|
||||
}
|
||||
|
||||
template <typename Type>
|
||||
inline bool is_degenerate(const model::infinite_line<Type>& line)
|
||||
{
|
||||
static Type const zero = 0;
|
||||
return math::equals(line.a, zero) && math::equals(line.b, zero);
|
||||
}
|
||||
|
||||
|
||||
} // namespace arithmetic
|
||||
|
||||
|
||||
}} // namespace boost::geometry
|
||||
|
||||
|
||||
#endif // BOOST_GEOMETRY_ARITHMETIC_LINE_FUNCTIONS_HPP
|
||||
@@ -0,0 +1,71 @@
|
||||
// Boost.Geometry (aka GGL, Generic Geometry Library)
|
||||
|
||||
// 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_NORMALIZE_HPP
|
||||
#define BOOST_GEOMETRY_ARITHMETIC_NORMALIZE_HPP
|
||||
|
||||
|
||||
#include <boost/geometry/core/coordinate_type.hpp>
|
||||
|
||||
#include <boost/geometry/arithmetic/arithmetic.hpp>
|
||||
#include <boost/geometry/arithmetic/dot_product.hpp>
|
||||
#include <boost/geometry/util/math.hpp>
|
||||
|
||||
|
||||
namespace boost { namespace geometry
|
||||
{
|
||||
|
||||
#ifndef DOXYGEN_NO_DETAIL
|
||||
namespace detail
|
||||
{
|
||||
|
||||
template <typename Point>
|
||||
inline typename coordinate_type<Point>::type vec_length_sqr(Point const& pt)
|
||||
{
|
||||
return dot_product(pt, pt);
|
||||
}
|
||||
|
||||
template <typename Point>
|
||||
inline typename coordinate_type<Point>::type vec_length(Point const& pt)
|
||||
{
|
||||
// NOTE: hypot() could be used instead of sqrt()
|
||||
return math::sqrt(dot_product(pt, pt));
|
||||
}
|
||||
|
||||
template <typename Point>
|
||||
inline bool vec_normalize(Point & pt, typename coordinate_type<Point>::type & len)
|
||||
{
|
||||
typedef typename coordinate_type<Point>::type coord_t;
|
||||
|
||||
coord_t const c0 = 0;
|
||||
len = vec_length(pt);
|
||||
|
||||
if (math::equals(len, c0))
|
||||
{
|
||||
return false;
|
||||
}
|
||||
|
||||
divide_value(pt, len);
|
||||
return true;
|
||||
}
|
||||
|
||||
template <typename Point>
|
||||
inline bool vec_normalize(Point & pt)
|
||||
{
|
||||
typedef typename coordinate_type<Point>::type coord_t;
|
||||
coord_t len;
|
||||
return vec_normalize(pt, len);
|
||||
}
|
||||
|
||||
} // namespace detail
|
||||
#endif // DOXYGEN_NO_DETAIL
|
||||
|
||||
}} // namespace boost::geometry
|
||||
|
||||
#endif // BOOST_GEOMETRY_ARITHMETIC_NORMALIZE_HPP
|
||||
Reference in New Issue
Block a user