Added thirdparty: boost library

thirdparty/include/boost/geometry/policies/robustness/get_rescale_policy.hpp

@@ -0,0 +1,415 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2014-2015 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2014-2015 Bruno Lalande, Paris, France.
+// Copyright (c) 2014-2015 Mateusz Loskot, London, UK.
+// Copyright (c) 2014-2015 Adam Wulkiewicz, Lodz, Poland.
+
+// This file was modified by Oracle on 2015-2020.
+// Modifications copyright (c) 2015-2020, Oracle and/or its affiliates.
+
+// Contributed and/or modified by Menelaos Karavelas, on behalf of Oracle
+// 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_POLICIES_ROBUSTNESS_GET_RESCALE_POLICY_HPP
+#define BOOST_GEOMETRY_POLICIES_ROBUSTNESS_GET_RESCALE_POLICY_HPP
+
+
+#include <cstddef>
+#include <type_traits>
+
+#include <boost/geometry/core/assert.hpp>
+#include <boost/geometry/core/config.hpp>
+#include <boost/geometry/core/coordinate_promotion.hpp>
+#include <boost/geometry/core/tag_cast.hpp>
+
+#include <boost/geometry/algorithms/envelope.hpp>
+#include <boost/geometry/algorithms/expand.hpp>
+#include <boost/geometry/algorithms/is_empty.hpp>
+#include <boost/geometry/algorithms/detail/recalculate.hpp>
+#include <boost/geometry/algorithms/detail/get_max_size.hpp>
+#include <boost/geometry/core/static_assert.hpp>
+#include <boost/geometry/geometries/point.hpp>
+#include <boost/geometry/geometries/box.hpp>
+#include <boost/geometry/policies/robustness/no_rescale_policy.hpp>
+#include <boost/geometry/policies/robustness/rescale_policy.hpp>
+#include <boost/geometry/policies/robustness/robust_type.hpp>
+#include <boost/geometry/util/type_traits.hpp>
+
+// TEMP
+#include <boost/geometry/strategies/envelope/cartesian.hpp>
+#include <boost/geometry/strategies/envelope/geographic.hpp>
+#include <boost/geometry/strategies/envelope/spherical.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail { namespace get_rescale_policy
+{
+
+template
+<
+    typename Box,
+    typename Point,
+    typename RobustPoint,
+    typename Factor
+>
+inline void scale_box_to_integer_range(Box const& box,
+                                       Point& min_point,
+                                       RobustPoint& min_robust_point,
+                                       Factor& factor)
+{
+    // Scale box to integer-range
+    typedef typename promote_floating_point
+        <
+            typename geometry::coordinate_type<Point>::type
+        >::type num_type;
+    num_type const diff = boost::numeric_cast<num_type>(detail::get_max_size(box));
+    num_type const range = 10000000.0; // Define a large range to get precise integer coordinates
+    num_type const half = 0.5;
+    if (math::equals(diff, num_type())
+        || diff >= range
+        || ! boost::math::isfinite(diff))
+    {
+        factor = 1;
+    }
+    else
+    {
+        factor = boost::numeric_cast<num_type>(
+            boost::numeric_cast<boost::long_long_type>(half + range / diff));
+        BOOST_GEOMETRY_ASSERT(factor >= 1);
+    }
+
+    // Assign input/output minimal points
+    detail::assign_point_from_index<0>(box, min_point);
+    num_type const two = 2;
+    boost::long_long_type const min_coordinate
+        = boost::numeric_cast<boost::long_long_type>(-range / two);
+    assign_values(min_robust_point, min_coordinate, min_coordinate);
+}
+
+template
+<
+    typename Point, typename RobustPoint, typename Geometry,
+    typename Factor, typename Strategy
+>
+static inline void init_rescale_policy(Geometry const& geometry,
+        Point& min_point,
+        RobustPoint& min_robust_point,
+        Factor& factor,
+        Strategy const& strategy)
+{
+    if (geometry::is_empty(geometry))
+    {
+        return;
+    }
+
+    // Get bounding box
+    model::box<Point> env = geometry::return_envelope
+                                <
+                                    model::box<Point>
+                                >(geometry, strategy);
+
+    scale_box_to_integer_range(env, min_point, min_robust_point, factor);
+}
+
+// NOTE: Actually it should take 2 separate strategies, one for each geometry
+// in case one of them was e.g. a Box
+template
+<
+    typename Point, typename RobustPoint, typename Geometry1, typename Geometry2,
+    typename Factor, typename Strategy1, typename Strategy2
+>
+static inline void init_rescale_policy(Geometry1 const& geometry1,
+        Geometry2 const& geometry2,
+        Point& min_point,
+        RobustPoint& min_robust_point,
+        Factor& factor,
+        Strategy1 const& strategy1,
+        Strategy2 const& strategy2)
+{
+    // Get bounding boxes (when at least one of the geometries is not empty)
+    bool const is_empty1 = geometry::is_empty(geometry1);
+    bool const is_empty2 = geometry::is_empty(geometry2);
+    if (is_empty1 && is_empty2)
+    {
+        return;
+    }
+
+    model::box<Point> env;
+    if (is_empty1)
+    {
+        geometry::envelope(geometry2, env, strategy2);
+    }
+    else if (is_empty2)
+    {
+        geometry::envelope(geometry1, env, strategy1);
+    }
+    else
+    {
+        // The following approach (envelope + expand) may not give the
+        // optimal MBR when then two geometries are in the spherical
+        // equatorial or geographic coordinate systems.
+        // TODO: implement envelope for two (or possibly more geometries)
+        geometry::envelope(geometry1, env, strategy1);
+        model::box<Point> env2 = geometry::return_envelope
+            <
+                model::box<Point>
+            >(geometry2, strategy2);
+        geometry::expand(env, env2, strategy1);
+    }
+
+    scale_box_to_integer_range(env, min_point, min_robust_point, factor);
+}
+
+
+template
+<
+    typename Point,
+    bool IsFloatingPoint
+>
+struct rescale_policy_type
+{
+    typedef no_rescale_policy type;
+};
+
+// We rescale only all FP types
+template
+<
+    typename Point
+>
+struct rescale_policy_type<Point, true>
+{
+    typedef typename geometry::coordinate_type<Point>::type coordinate_type;
+    typedef model::point
+    <
+        typename detail::robust_type<coordinate_type>::type,
+        geometry::dimension<Point>::value,
+        typename geometry::coordinate_system<Point>::type
+    > robust_point_type;
+    typedef typename promote_floating_point<coordinate_type>::type factor_type;
+    typedef detail::robust_policy<Point, robust_point_type, factor_type> type;
+};
+
+template <typename Policy>
+struct get_rescale_policy
+{
+    template <typename Geometry, typename Strategy>
+    static inline Policy apply(Geometry const& geometry,
+                               Strategy const& strategy)
+    {
+        typedef typename point_type<Geometry>::type point_type;
+        typedef typename geometry::coordinate_type<Geometry>::type coordinate_type;
+        typedef typename promote_floating_point<coordinate_type>::type factor_type;
+        typedef model::point
+        <
+            typename detail::robust_type<coordinate_type>::type,
+            geometry::dimension<point_type>::value,
+            typename geometry::coordinate_system<point_type>::type
+        > robust_point_type;
+
+        point_type min_point;
+        robust_point_type min_robust_point;
+        factor_type factor;
+        init_rescale_policy(geometry, min_point, min_robust_point,
+                            factor, strategy);
+
+        return Policy(min_point, min_robust_point, factor);
+    }
+
+    template <typename Geometry1, typename Geometry2, typename Strategy1, typename Strategy2>
+    static inline Policy apply(Geometry1 const& geometry1, Geometry2 const& geometry2,
+                               Strategy1 const& strategy1,
+                               Strategy2 const& strategy2)
+    {
+        typedef typename point_type<Geometry1>::type point_type;
+        typedef typename geometry::coordinate_type<Geometry1>::type coordinate_type;
+        typedef typename promote_floating_point<coordinate_type>::type factor_type;
+        typedef model::point
+        <
+            typename detail::robust_type<coordinate_type>::type,
+            geometry::dimension<point_type>::value,
+            typename geometry::coordinate_system<point_type>::type
+        > robust_point_type;
+
+        point_type min_point;
+        robust_point_type min_robust_point;
+        factor_type factor;
+        init_rescale_policy(geometry1, geometry2, min_point, min_robust_point,
+                            factor, strategy1, strategy2);
+
+        return Policy(min_point, min_robust_point, factor);
+    }
+};
+
+// Specialization for no-rescaling
+template <>
+struct get_rescale_policy<no_rescale_policy>
+{
+    template <typename Geometry, typename EnvelopeStrategy>
+    static inline no_rescale_policy apply(Geometry const& , EnvelopeStrategy const&)
+    {
+        return no_rescale_policy();
+    }
+
+    template <typename Geometry1, typename Geometry2, typename EnvelopeStrategy1, typename EnvelopeStrategy2>
+    static inline no_rescale_policy apply(Geometry1 const& , Geometry2 const& ,
+                                          EnvelopeStrategy1 const& , EnvelopeStrategy2 const& )
+    {
+        return no_rescale_policy();
+    }
+};
+
+
+}} // namespace detail::get_rescale_policy
+#endif // DOXYGEN_NO_DETAIL
+
+template
+<
+    typename Point,
+    typename CSTag = typename geometry::cs_tag<Point>::type
+>
+struct rescale_policy_type
+    : public detail::get_rescale_policy::rescale_policy_type
+    <
+        Point,
+#if defined(BOOST_GEOMETRY_USE_RESCALING)
+        std::is_floating_point
+            <
+                typename geometry::coordinate_type<Point>::type
+            >::type::value
+        &&
+        std::is_same
+            <
+                CSTag,
+                geometry::cartesian_tag
+            >::value
+#else
+        false
+#endif
+    >
+{
+    BOOST_GEOMETRY_STATIC_ASSERT(
+        (util::is_point<Point>::value),
+        "Point type expected.",
+        Point);
+};
+
+
+template
+<
+    typename Geometry1,
+    typename Geometry2,
+    typename CSTag = typename geometry::cs_tag<Geometry1>::type,
+    typename Tag1 = typename tag_cast
+    <
+        typename tag<Geometry1>::type,
+        box_tag,
+        pointlike_tag,
+        linear_tag,
+        areal_tag
+    >::type,
+    typename Tag2 = typename tag_cast
+    <
+        typename tag<Geometry2>::type,
+        box_tag,
+        pointlike_tag,
+        linear_tag,
+        areal_tag
+    >::type
+>
+struct rescale_overlay_policy_type
+    // Default: no rescaling
+    : public detail::get_rescale_policy::rescale_policy_type
+        <
+            typename geometry::point_type<Geometry1>::type,
+            false
+        >
+{};
+
+// Areal/areal: get rescale policy based on coordinate type
+template
+<
+    typename Geometry1,
+    typename Geometry2,
+    typename CSTag
+>
+struct rescale_overlay_policy_type<Geometry1, Geometry2, CSTag, areal_tag, areal_tag>
+    : public rescale_policy_type
+        <
+            typename geometry::point_type<Geometry1>::type,
+            CSTag
+        >
+{};
+
+
+template <typename Policy, typename Geometry>
+inline Policy get_rescale_policy(Geometry const& geometry)
+{
+    typename geometry::strategies::envelope::services::default_strategy
+        <
+            Geometry,
+            model::box<typename point_type<Geometry>::type>
+        >::type strategy;
+
+    return detail::get_rescale_policy::get_rescale_policy<Policy>::apply(geometry, strategy);
+}
+
+template
+<
+    typename Policy, typename Geometry, typename Strategy,
+    std::enable_if_t<std::is_void<typename geometry::tag<Strategy>::type>::value, int> = 0
+>
+inline Policy get_rescale_policy(Geometry const& geometry, Strategy const& strategy)
+{
+    return detail::get_rescale_policy::get_rescale_policy
+        <
+            Policy
+        >::apply(geometry, strategy);
+}
+
+template
+<
+    typename Policy, typename Geometry1, typename Geometry2,
+    std::enable_if_t<! std::is_void<typename geometry::tag<Geometry2>::type>::value, int> = 0
+>
+inline Policy get_rescale_policy(Geometry1 const& geometry1, Geometry2 const& geometry2)
+{
+    typename geometry::strategies::envelope::services::default_strategy
+        <
+            Geometry1,
+            model::box<typename point_type<Geometry1>::type>
+        >::type strategy1;
+    typename geometry::strategies::envelope::services::default_strategy
+        <
+            Geometry2,
+            model::box<typename point_type<Geometry2>::type>
+        >::type strategy2;
+
+    return detail::get_rescale_policy::get_rescale_policy
+        <
+            Policy
+        >::apply(geometry1, geometry2, strategy1, strategy2);
+}
+
+template <typename Policy, typename Geometry1, typename Geometry2, typename Strategy>
+inline Policy get_rescale_policy(Geometry1 const& geometry1, Geometry2 const& geometry2,
+                                 Strategy const& strategy)
+{
+    return detail::get_rescale_policy::get_rescale_policy
+            <
+                Policy
+            >::apply(geometry1, geometry2, strategy, strategy);
+}
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_POLICIES_ROBUSTNESS_GET_RESCALE_POLICY_HPP

thirdparty/include/boost/geometry/policies/robustness/no_rescale_policy.hpp

@@ -0,0 +1,55 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2013 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2013 Bruno Lalande, Paris, France.
+// Copyright (c) 2013 Mateusz Loskot, London, UK.
+// Copyright (c) 2013 Adam Wulkiewicz, Lodz, Poland.
+
+// 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_POLICIES_ROBUSTNESS_NO_RESCALE_POLICY_HPP
+#define BOOST_GEOMETRY_POLICIES_ROBUSTNESS_NO_RESCALE_POLICY_HPP
+
+#include <stddef.h>
+
+#include <boost/geometry/core/coordinate_type.hpp>
+#include <boost/geometry/policies/robustness/robust_point_type.hpp>
+#include <boost/geometry/policies/robustness/segment_ratio.hpp>
+
+namespace boost { namespace geometry
+{
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail
+{
+
+// Redudant later.
+struct no_rescale_policy
+{
+    static bool const enabled = false;
+
+    // We don't rescale but return the reference of the input
+    template <std::size_t Dimension, typename Value>
+    inline Value const& apply(Value const& value) const
+    {
+        return value;
+    }
+};
+
+} // namespace detail
+#endif
+
+
+// Implement meta-functions for this policy
+template <typename Point>
+struct robust_point_type<Point, detail::no_rescale_policy>
+{
+    // The point itself
+    typedef Point type;
+};
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_POLICIES_ROBUSTNESS_NO_RESCALE_POLICY_HPP

thirdparty/include/boost/geometry/policies/robustness/rescale_policy.hpp

@@ -0,0 +1,85 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2014-2015 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2014-2015 Bruno Lalande, Paris, France.
+// Copyright (c) 2014-2015 Mateusz Loskot, London, UK.
+// Copyright (c) 2014-2015 Adam Wulkiewicz, Lodz, Poland.
+
+// This file was modified by Oracle on 2015, 2023.
+// Modifications copyright (c) 2015-2023, Oracle and/or its affiliates.
+
+// Contributed and/or modified by Vissarion Fysikopoulos, on behalf of Oracle
+// 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_POLICIES_ROBUSTNESS_RESCALE_POLICY_HPP
+#define BOOST_GEOMETRY_POLICIES_ROBUSTNESS_RESCALE_POLICY_HPP
+
+#include <cstddef>
+
+#include <boost/geometry/core/access.hpp>
+#include <boost/geometry/core/coordinate_type.hpp>
+
+#include <boost/geometry/policies/robustness/segment_ratio.hpp>
+#include <boost/geometry/policies/robustness/robust_point_type.hpp>
+
+#include <boost/geometry/util/math.hpp>
+
+namespace boost { namespace geometry
+{
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail
+{
+
+template <typename FpPoint, typename IntPoint, typename CalculationType>
+struct robust_policy
+{
+    static bool const enabled = true;
+
+    typedef typename geometry::coordinate_type<IntPoint>::type output_ct;
+
+    robust_policy(FpPoint const& fp_min, IntPoint const& int_min, CalculationType const& the_factor)
+        : m_fp_min(fp_min)
+        , m_int_min(int_min)
+        , m_multiplier(the_factor)
+    {
+    }
+
+    template <std::size_t Dimension, typename Value>
+    inline output_ct apply(Value const& value) const
+    {
+        // a + (v-b)*f
+        CalculationType const a = static_cast<CalculationType>(get<Dimension>(m_int_min));
+        CalculationType const b = static_cast<CalculationType>(get<Dimension>(m_fp_min));
+        CalculationType const result = a + (value - b) * m_multiplier;
+
+        return geometry::math::rounding_cast<output_ct>(result);
+    }
+
+    FpPoint m_fp_min;
+    IntPoint m_int_min;
+    CalculationType m_multiplier;
+};
+
+} // namespace detail
+#endif
+
+
+// Implement meta-functions for this policy
+
+// Define the IntPoint as a robust-point type
+template <typename Point, typename FpPoint, typename IntPoint, typename CalculationType>
+struct robust_point_type<Point, detail::robust_policy<FpPoint, IntPoint, CalculationType> >
+{
+    typedef IntPoint type;
+};
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_POLICIES_ROBUSTNESS_RESCALE_POLICY_HPP

thirdparty/include/boost/geometry/policies/robustness/rescale_policy_tags.hpp

@@ -0,0 +1,43 @@
+// Boost.Geometry
+
+// Copyright (c) 2019-2019 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_POLICIES_ROBUSTNESS_RESCALE_POLICY_TYPE_HPP
+#define BOOST_GEOMETRY_POLICIES_ROBUSTNESS_RESCALE_POLICY_TYPE_HPP
+
+#include <boost/geometry/policies/robustness/no_rescale_policy.hpp>
+
+namespace boost { namespace geometry
+{
+
+#ifndef DOXYGEN_NO_DETAIL
+namespace detail
+{
+
+struct no_rescale_policy_tag {};
+struct rescale_policy_tag {};
+
+template <typename RobustPolicy>
+struct rescale_policy_type
+{
+    typedef rescale_policy_tag type;
+};
+
+// Specialization
+template <>
+struct rescale_policy_type<no_rescale_policy>
+{
+    typedef no_rescale_policy_tag type;
+};
+
+} // namespace detail
+#endif
+
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_POLICIES_ROBUSTNESS_RESCALE_POLICY_TYPE_HPP

thirdparty/include/boost/geometry/policies/robustness/robust_point_type.hpp

@@ -0,0 +1,30 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2013 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2013 Bruno Lalande, Paris, France.
+// Copyright (c) 2013 Mateusz Loskot, London, UK.
+// Copyright (c) 2013 Adam Wulkiewicz, Lodz, Poland.
+
+// 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_POLICIES_ROBUSTNESS_ROBUST_POINT_TYPE_HPP
+#define BOOST_GEOMETRY_POLICIES_ROBUSTNESS_ROBUST_POINT_TYPE_HPP
+
+namespace boost { namespace geometry
+{
+
+// Meta-function to typedef a robust point type for a policy
+template <typename Point, typename Policy>
+struct robust_point_type
+{
+    // By default, the point itself is the robust type
+    typedef Point type;
+};
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_POLICIES_ROBUSTNESS_ROBUST_POINT_TYPE_HPP

thirdparty/include/boost/geometry/policies/robustness/robust_type.hpp

@@ -0,0 +1,72 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2014 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2014 Bruno Lalande, Paris, France.
+// Copyright (c) 2014 Mateusz Loskot, London, UK.
+// Copyright (c) 2014 Adam Wulkiewicz, Lodz, Poland.
+
+// 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
+
+// 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_POLICIES_ROBUSTNESS_ROBUST_TYPE_HPP
+#define BOOST_GEOMETRY_POLICIES_ROBUSTNESS_ROBUST_TYPE_HPP
+
+
+#include <type_traits>
+
+#include <boost/config.hpp>
+
+
+namespace boost { namespace geometry
+{
+
+#ifndef DOXYGEN_NO_DETAIL
+
+namespace detail_dispatch
+{
+
+template <typename CoordinateType, typename IsFloatingPoint>
+struct robust_type
+{
+};
+
+template <typename CoordinateType>
+struct robust_type<CoordinateType, std::false_type>
+{
+    typedef CoordinateType type;
+};
+
+template <typename CoordinateType>
+struct robust_type<CoordinateType, std::true_type>
+{
+    typedef boost::long_long_type type;
+};
+
+} // namespace detail_dispatch
+
+namespace detail
+{
+
+template <typename CoordinateType>
+struct robust_type
+{
+    typedef typename detail_dispatch::robust_type
+        <
+            CoordinateType,
+            typename std::is_floating_point<CoordinateType>::type
+        >::type type;
+};
+
+} // namespace detail
+#endif // DOXYGEN_NO_DETAIL
+
+
+}} // namespace boost::geometry
+
+
+#endif // BOOST_GEOMETRY_POLICIES_ROBUSTNESS_ROBUST_TYPE_HPP

thirdparty/include/boost/geometry/policies/robustness/segment_ratio.hpp

@@ -0,0 +1,351 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2013 Barend Gehrels, Amsterdam, the Netherlands.
+
+// This file was modified by Oracle on 2016-2021.
+// Modifications copyright (c) 2016-2021 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_POLICIES_ROBUSTNESS_SEGMENT_RATIO_HPP
+#define BOOST_GEOMETRY_POLICIES_ROBUSTNESS_SEGMENT_RATIO_HPP
+
+#include <type_traits>
+
+#include <boost/config.hpp>
+#include <boost/rational.hpp>
+
+#include <boost/geometry/core/assert.hpp>
+#include <boost/geometry/core/coordinate_promotion.hpp>
+#include <boost/geometry/util/math.hpp>
+
+namespace boost { namespace geometry
+{
+
+
+namespace detail { namespace segment_ratio
+{
+
+template
+<
+    typename Type,
+    bool IsIntegral = std::is_integral<Type>::type::value
+>
+struct less {};
+
+template <typename Type>
+struct less<Type, true>
+{
+    template <typename Ratio>
+    static inline bool apply(Ratio const& lhs, Ratio const& rhs)
+    {
+        return boost::rational<Type>(lhs.numerator(), lhs.denominator())
+             < boost::rational<Type>(rhs.numerator(), rhs.denominator());
+    }
+};
+
+template <typename Type>
+struct less<Type, false>
+{
+    template <typename Ratio>
+    static inline bool apply(Ratio const& lhs, Ratio const& rhs)
+    {
+        BOOST_GEOMETRY_ASSERT(lhs.denominator() != Type(0));
+        BOOST_GEOMETRY_ASSERT(rhs.denominator() != Type(0));
+        Type const a = lhs.numerator() / lhs.denominator();
+        Type const b = rhs.numerator() / rhs.denominator();
+        return ! geometry::math::equals(a, b)
+            && a < b;
+    }
+};
+
+template
+<
+    typename Type,
+    bool IsIntegral = std::is_integral<Type>::type::value
+>
+struct equal {};
+
+template <typename Type>
+struct equal<Type, true>
+{
+    template <typename Ratio>
+    static inline bool apply(Ratio const& lhs, Ratio const& rhs)
+    {
+        return boost::rational<Type>(lhs.numerator(), lhs.denominator())
+            == boost::rational<Type>(rhs.numerator(), rhs.denominator());
+    }
+};
+
+template <typename Type>
+struct equal<Type, false>
+{
+    template <typename Ratio>
+    static inline bool apply(Ratio const& lhs, Ratio const& rhs)
+    {
+        BOOST_GEOMETRY_ASSERT(lhs.denominator() != Type(0));
+        BOOST_GEOMETRY_ASSERT(rhs.denominator() != Type(0));
+        Type const a = lhs.numerator() / lhs.denominator();
+        Type const b = rhs.numerator() / rhs.denominator();
+        return geometry::math::equals(a, b);
+    }
+};
+
+template
+<
+    typename Type,
+    bool IsFloatingPoint = std::is_floating_point<Type>::type::value
+>
+struct possibly_collinear {};
+
+template <typename Type>
+struct possibly_collinear<Type, true>
+{
+    template <typename Ratio, typename Threshold>
+    static inline bool apply(Ratio const& ratio, Threshold threshold)
+    {
+        return std::abs(ratio.denominator()) < threshold;
+    }
+};
+
+// Any ratio based on non-floating point (or user defined floating point)
+// is collinear if the denominator is exactly zero
+template <typename Type>
+struct possibly_collinear<Type, false>
+{
+    template <typename Ratio, typename Threshold>
+    static inline bool apply(Ratio const& ratio, Threshold)
+    {
+        static Type const zero = 0;
+        return ratio.denominator() == zero;
+    }
+};
+
+}}
+
+//! Small class to keep a ratio (e.g. 1/4)
+//! Main purpose is intersections and checking on 0, 1, and smaller/larger
+//! The prototype used Boost.Rational. However, we also want to store FP ratios,
+//! (so numerator/denominator both in float)
+//! and Boost.Rational starts with GCD which we prefer to avoid if not necessary
+//! On a segment means: this ratio is between 0 and 1 (both inclusive)
+//!
+template <typename Type>
+class segment_ratio
+{
+    // Type used for the approximation (a helper value)
+    // and for the edge value (0..1) (a helper function).
+    using floating_point_type =
+        typename detail::promoted_to_floating_point<Type>::type;
+
+    // Type-alias for the type itself
+    using thistype = segment_ratio<Type>;
+
+public:
+    using int_type = Type;
+
+    inline segment_ratio()
+        : m_numerator(0)
+        , m_denominator(1)
+        , m_approximation(0)
+    {}
+
+    inline segment_ratio(Type const& numerator, Type const& denominator)
+        : m_numerator(numerator)
+        , m_denominator(denominator)
+    {
+        initialize();
+    }
+
+    segment_ratio(segment_ratio const&) = default;
+    segment_ratio& operator=(segment_ratio const&) = default;
+    segment_ratio(segment_ratio&&) = default;
+    segment_ratio& operator=(segment_ratio&&) = default;
+
+    // These are needed because in intersection strategies ratios are assigned
+    // in fractions and if a user passes CalculationType then ratio Type in
+    // turns is taken from geometry coordinate_type and the one used in
+    // a strategy uses Type selected using CalculationType.
+    // See: detail::overlay::intersection_info_base
+    // and  policies::relate::segments_intersection_points
+    //      in particular segments_collinear() where ratios are assigned.
+    template<typename T> friend class segment_ratio;
+    template <typename T>
+    segment_ratio(segment_ratio<T> const& r)
+        : m_numerator(r.m_numerator)
+        , m_denominator(r.m_denominator)
+    {
+        initialize();
+    }
+    template <typename T>
+    segment_ratio& operator=(segment_ratio<T> const& r)
+    {
+        m_numerator = r.m_numerator;
+        m_denominator = r.m_denominator;
+        initialize();
+        return *this;
+    }
+    template <typename T>
+    segment_ratio(segment_ratio<T> && r)
+        : m_numerator(std::move(r.m_numerator))
+        , m_denominator(std::move(r.m_denominator))
+    {
+        initialize();
+    }
+    template <typename T>
+    segment_ratio& operator=(segment_ratio<T> && r)
+    {
+        m_numerator = std::move(r.m_numerator);
+        m_denominator = std::move(r.m_denominator);
+        initialize();
+        return *this;
+    }
+
+    inline Type const& numerator() const { return m_numerator; }
+    inline Type const& denominator() const { return m_denominator; }
+
+    inline void assign(Type const& numerator, Type const& denominator)
+    {
+        m_numerator = numerator;
+        m_denominator = denominator;
+        initialize();
+    }
+
+    inline void initialize()
+    {
+        // Minimal normalization
+        // 1/-4 => -1/4, -1/-4 => 1/4
+        if (m_denominator < zero_instance())
+        {
+            m_numerator = -m_numerator;
+            m_denominator = -m_denominator;
+        }
+
+        m_approximation =
+            m_denominator == zero_instance() ? floating_point_type{0}
+            : (
+                boost::numeric_cast<floating_point_type>(m_numerator) * scale()
+                / boost::numeric_cast<floating_point_type>(m_denominator)
+            );
+    }
+
+    inline bool is_zero() const { return math::equals(m_numerator, Type(0)); }
+    inline bool is_one() const { return math::equals(m_numerator, m_denominator); }
+    inline bool on_segment() const
+    {
+        // e.g. 0/4 or 4/4 or 2/4
+        return m_numerator >= zero_instance() && m_numerator <= m_denominator;
+    }
+    inline bool in_segment() const
+    {
+        // e.g. 1/4
+        return m_numerator > zero_instance() && m_numerator < m_denominator;
+    }
+    inline bool on_end() const
+    {
+        // e.g. 0/4 or 4/4
+        return is_zero() || is_one();
+    }
+    inline bool left() const
+    {
+        // e.g. -1/4
+        return m_numerator < zero_instance();
+    }
+    inline bool right() const
+    {
+        // e.g. 5/4
+        return m_numerator > m_denominator;
+    }
+
+    //! Returns a value between 0.0 and 1.0
+    //! 0.0 means: exactly in the middle
+    //! 1.0 means: exactly on one of the edges (or even over it)
+    inline floating_point_type edge_value() const
+    {
+        using fp = floating_point_type;
+        fp const one{1.0};
+        floating_point_type const result
+                = fp(2) * geometry::math::abs(fp(0.5) - m_approximation / scale());
+        return result > one ? one : result;
+    }
+
+    template <typename Threshold>
+    inline bool possibly_collinear(Threshold threshold) const
+    {
+        return detail::segment_ratio::possibly_collinear<Type>::apply(*this, threshold);
+    }
+
+    inline bool operator< (thistype const& other) const
+    {
+        return close_to(other)
+            ? detail::segment_ratio::less<Type>::apply(*this, other)
+            : m_approximation < other.m_approximation;
+    }
+
+    inline bool operator== (thistype const& other) const
+    {
+        return close_to(other)
+            && detail::segment_ratio::equal<Type>::apply(*this, other);
+    }
+
+    static inline thistype zero()
+    {
+        static thistype result(0, 1);
+        return result;
+    }
+
+    static inline thistype one()
+    {
+        static thistype result(1, 1);
+        return result;
+    }
+
+#if defined(BOOST_GEOMETRY_DEFINE_STREAM_OPERATOR_SEGMENT_RATIO)
+    friend std::ostream& operator<<(std::ostream &os, segment_ratio const& ratio)
+    {
+        os << ratio.m_numerator << "/" << ratio.m_denominator
+           << " (" << (static_cast<double>(ratio.m_numerator)
+                        / static_cast<double>(ratio.m_denominator))
+           << ")";
+        return os;
+    }
+#endif
+
+private :
+
+    Type m_numerator;
+    Type m_denominator;
+
+    // Contains ratio on scale 0..1000000 (for 0..1)
+    // This is an approximation for fast and rough comparisons
+    // Boost.Rational is used if the approximations are close.
+    // Reason: performance, Boost.Rational does a GCD by default and also the
+    // comparisons contain while-loops.
+    floating_point_type m_approximation;
+
+    inline bool close_to(thistype const& other) const
+    {
+        static floating_point_type const threshold{50.0};
+        return geometry::math::abs(m_approximation - other.m_approximation)
+                < threshold;
+    }
+
+    static inline floating_point_type scale()
+    {
+        static floating_point_type const fp_scale{1000000.0};
+        return fp_scale;
+    }
+
+    static inline Type zero_instance()
+    {
+        return 0;
+    }
+};
+
+
+}} // namespace boost::geometry
+
+#endif // BOOST_GEOMETRY_POLICIES_ROBUSTNESS_SEGMENT_RATIO_HPP

thirdparty/include/boost/geometry/policies/robustness/segment_ratio_type.hpp

@@ -0,0 +1,54 @@
+// Boost.Geometry (aka GGL, Generic Geometry Library)
+
+// Copyright (c) 2013 Barend Gehrels, Amsterdam, the Netherlands.
+// Copyright (c) 2013 Bruno Lalande, Paris, France.
+// Copyright (c) 2013 Mateusz Loskot, London, UK.
+// Copyright (c) 2013 Adam Wulkiewicz, Lodz, Poland.
+
+// 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
+
+// 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_POLICIES_ROBUSTNESS_SEGMENT_RATIO_TYPE_HPP
+#define BOOST_GEOMETRY_POLICIES_ROBUSTNESS_SEGMENT_RATIO_TYPE_HPP
+
+#include <type_traits>
+
+#include <boost/config.hpp>
+
+#include <boost/geometry/core/coordinate_type.hpp>
+#include <boost/geometry/policies/robustness/rescale_policy_tags.hpp>
+
+namespace boost { namespace geometry { namespace detail
+{
+
+// Temporary meta-function to access segment-ratio for a policy
+template <typename Point, typename Policy>
+struct segment_ratio_type
+{
+    // Type in segment ratio is either the coordinate type, or for
+    // deprecated robust point types it is a long_long type
+    typedef std::conditional_t
+        <
+            std::is_same
+                <
+                    typename rescale_policy_type<Policy>::type,
+                    no_rescale_policy_tag
+                >::value,
+            typename geometry::coordinate_type<Point>::type,
+            boost::long_long_type
+        > coordinate_type;
+
+    // Define segment ratio based on the coordinate type
+    typedef geometry::segment_ratio<coordinate_type> type;
+};
+
+
+}}} // namespace boost::geometry::deatil
+
+
+#endif // BOOST_GEOMETRY_POLICIES_ROBUSTNESS_SEGMENT_RATIO_TYPE_HPP