boost/libs/geometry/test/algorithms/set_operations/intersection/intersection.cpp

// Boost.Geometry (aka GGL, Generic Geometry Library)
// Unit Test

// Copyright (c) 2007-2015 Barend Gehrels, Amsterdam, the Netherlands.
// Copyright (c) 2008-2015 Bruno Lalande, Paris, France.
// Copyright (c) 2009-2015 Mateusz Loskot, London, UK.

// This file was modified by Oracle on 2015.
// Modifications copyright (c) 2015, Oracle and/or its affiliates.

// Contributed and/or modified by Menelaos Karavelas, 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)

#include <climits>
#include <iostream>
#include <string>

// If defined, tests are run without rescaling-to-integer or robustness policy
// Test which would fail then are disabled automatically
// #define BOOST_GEOMETRY_NO_ROBUSTNESS

#include <boost/config.hpp>
#include <boost/core/ignore_unused.hpp>

#include <boost/geometry/geometries/point_xy.hpp>
#include <boost/geometry/geometries/register/linestring.hpp>

#include <boost/geometry/util/condition.hpp>
#include <boost/geometry/util/rational.hpp>

#include "test_intersection.hpp"
#include <algorithms/test_overlay.hpp>

#include <algorithms/overlay/overlay_cases.hpp>

#include <test_common/test_point.hpp>
#include <test_common/with_pointer.hpp>
#include <test_geometries/custom_segment.hpp>


BOOST_GEOMETRY_REGISTER_LINESTRING_TEMPLATED(std::vector)


template <typename Polygon>
void test_areal()
{
    typedef typename bg::coordinate_type<Polygon>::type ct;
    bool const ccw = bg::point_order<Polygon>::value == bg::counterclockwise;
    bool const open = bg::closure<Polygon>::value == bg::open;

    test_one<Polygon, Polygon, Polygon>("simplex_with_empty_1",
        simplex_normal[0], polygon_empty,
        0, 0, 0.0);
    test_one<Polygon, Polygon, Polygon>("simplex_with_empty_2",
        polygon_empty, simplex_normal[0],
        0, 0, 0.0);

    test_one<Polygon, Polygon, Polygon>("simplex_normal",
        simplex_normal[0], simplex_normal[1],
        1, 7, 5.47363293);
    test_one<Polygon, Polygon, Polygon>("star_ring", example_star, example_ring,
        1, 18, 2.80983);

    test_one<Polygon, Polygon, Polygon>("star_poly", example_star, example_polygon,
        1, 0, // CLN: 23 points, other types: 22 point (one is merged)
        2.5020508);
    test_one<Polygon, Polygon, Polygon>("first_within_second1",
        first_within_second[0], first_within_second[1],
        1, 5, 1.0);

    test_one<Polygon, Polygon, Polygon>("first_within_second2",
        first_within_second[1], first_within_second[0],
        1, 5, 1.0);

    test_one<Polygon, Polygon, Polygon>("first_within_hole_of_second",
            first_within_hole_of_second[0], first_within_hole_of_second[1],
            0, 0, 0.0);

    // Two forming new hole
    test_one<Polygon, Polygon, Polygon>("new_hole",
        new_hole[0], new_hole[1],
        2, 10, 2.0);

    // Two identical
    test_one<Polygon, Polygon, Polygon>("identical",
        identical[0], identical[1],
        1, 5, 1.0);

    test_one<Polygon, Polygon, Polygon>("intersect_exterior_and_interiors_winded",
        intersect_exterior_and_interiors_winded[0], intersect_exterior_and_interiors_winded[1],
        1, 14, 25.2166667);

    test_one<Polygon, Polygon, Polygon>("intersect_holes_disjoint",
        intersect_holes_disjoint[0], intersect_holes_disjoint[1],
        1, 15, 18.0);

    test_one<Polygon, Polygon, Polygon>("intersect_holes_intersect",
        intersect_holes_intersect[0], intersect_holes_intersect[1],
        1, 14, 18.25);

    test_one<Polygon, Polygon, Polygon>("intersect_holes_intersect_and_disjoint",
        intersect_holes_intersect_and_disjoint[0], intersect_holes_intersect_and_disjoint[1],
        1, 19, 17.25);

    test_one<Polygon, Polygon, Polygon>("intersect_holes_intersect_and_touch",
        intersect_holes_intersect_and_touch[0], intersect_holes_intersect_and_touch[1],
        1, 23, 17.25);

    test_one<Polygon, Polygon, Polygon>("intersect_holes_new_ring",
        intersect_holes_new_ring[0], intersect_holes_new_ring[1],
        2, 23, 122.1039);

    test_one<Polygon, Polygon, Polygon>("winded",
        winded[0], winded[1],
        1, 22, 40.0);

    test_one<Polygon, Polygon, Polygon>("within_holes_disjoint",
        within_holes_disjoint[0], within_holes_disjoint[1],
        1, 15, 23.0);

    test_one<Polygon, Polygon, Polygon>("side_side",
        side_side[0], side_side[1],
        0, 0, 0.0);

    test_one<Polygon, Polygon, Polygon>("two_bends",
        two_bends[0], two_bends[1],
        1, 7, 24.0);

    test_one<Polygon, Polygon, Polygon>("star_comb_15",
        star_comb_15[0], star_comb_15[1],
        28, 150, 189.952883);

    test_one<Polygon, Polygon, Polygon>("simplex_normal",
        simplex_normal[0], simplex_normal[1],
        1, 7, 5.47363293);

    test_one<Polygon, Polygon, Polygon>("distance_zero",
        distance_zero[0], distance_zero[1],
        1, 0 /* f: 4, other: 5 */, 0.29516139, 0.01);

    test_one<Polygon, Polygon, Polygon>("equal_holes_disjoint",
        equal_holes_disjoint[0], equal_holes_disjoint[1],
        1, 20, 81 - 2 * 3 * 3 - 3 * 7);

    test_one<Polygon, Polygon, Polygon>("only_hole_intersections1",
        only_hole_intersections[0], only_hole_intersections[1],
        1, 21, 178.090909);
    test_one<Polygon, Polygon, Polygon>("only_hole_intersection2",
        only_hole_intersections[0], only_hole_intersections[2],
        1, 21, 149.090909);

    test_one<Polygon, Polygon, Polygon>("fitting",
        fitting[0], fitting[1],
        0, 0, 0);

    test_one<Polygon, Polygon, Polygon>("crossed",
        crossed[0], crossed[1],
        3, 0, 1.5);

    test_one<Polygon, Polygon, Polygon>("pie_2_3_23_0",
        pie_2_3_23_0[0], pie_2_3_23_0[1],
        1, 4, 163292.679042133, 0.1);

    test_one<Polygon, Polygon, Polygon>("isovist",
        isovist1[0], isovist1[1],
        1, 19, 88.19203,
        if_typed_tt<ct>(0.01, 0.1));

    // SQL Server gives: 88.1920416352664
    // PostGIS gives:    88.19203677911

    test_one<Polygon, Polygon, Polygon>("geos_1",
        geos_1[0], geos_1[1],
            1, -1, 3461.0214843, 0.005); // MSVC 14 reports 3461.025390625

    test_one<Polygon, Polygon, Polygon>("geos_2",
        geos_2[0], geos_2[1],
            0, 0, 0.0);
    test_one<Polygon, Polygon, Polygon>("geos_3",
        geos_3[0], geos_3[1],
            0, -0, 0.0);
    test_one<Polygon, Polygon, Polygon>("geos_4",
        geos_4[0], geos_4[1],
            1, -1, 0.08368849);


    if ( BOOST_GEOMETRY_CONDITION(! ccw && open) )
    {
        // Pointcount for ttmath/double (both 5) or float (4)
        // double returns 5 (since method append_no_dups_or_spikes)
        // but not for ccw/open. Those cases has to be adapted once, anyway,
        // because for open always one point too much is generated...
        test_one<Polygon, Polygon, Polygon>("ggl_list_20110306_javier",
            ggl_list_20110306_javier[0], ggl_list_20110306_javier[1],
            1, if_typed<ct, float>(4, 5),
            0.6649875,
            if_typed<ct, float>(1.0, 0.01));
    }

    test_one<Polygon, Polygon, Polygon>("ggl_list_20110307_javier",
        ggl_list_20110307_javier[0], ggl_list_20110307_javier[1],
        1, 4, 0.4, 0.01);

    test_one<Polygon, Polygon, Polygon>("ggl_list_20110627_phillip",
        ggl_list_20110627_phillip[0], ggl_list_20110627_phillip[1],
        1, if_typed_tt<ct>(6, 5), 11151.6618);

    test_one<Polygon, Polygon, Polygon>("ggl_list_20110716_enrico",
        ggl_list_20110716_enrico[0], ggl_list_20110716_enrico[1],
        3, 16, 35723.8506317139);

    test_one<Polygon, Polygon, Polygon>("ggl_list_20131119_james",
        ggl_list_20131119_james[0], ggl_list_20131119_james[1],
        1, 4, 6.6125873045, 0.1);

    test_one<Polygon, Polygon, Polygon>("ggl_list_20140223_shalabuda",
        ggl_list_20140223_shalabuda[0], ggl_list_20140223_shalabuda[1],
        1, 4, 3.77106);

#if 0
    // TODO: fix this testcase, it should give 0 but instead it gives one of the input polygons
    // Mailed to the Boost.Geometry list on 2014/03/21 by 7415963@gmail.com
    test_one<Polygon, Polygon, Polygon>("ggl_list_20140321_7415963",
        ggl_list_20140321_7415963[0], ggl_list_20140321_7415963[1],
        0, 0, 0, 0.1);
#endif

#if ! defined(BOOST_GEOMETRY_NO_ROBUSTNESS)
    test_one<Polygon, Polygon, Polygon>("buffer_rt_f", buffer_rt_f[0], buffer_rt_f[1],
                1, 4,  0.00029437899183903937, 0.01);
#endif

    test_one<Polygon, Polygon, Polygon>("buffer_rt_g", buffer_rt_g[0], buffer_rt_g[1],
                1, 0, 2.914213562373);

#if ! defined(BOOST_GEOMETRY_NO_ROBUSTNESS)
    test_one<Polygon, Polygon, Polygon>("ticket_8254", ticket_8254[0], ticket_8254[1],
                1, 4, 3.6334e-08, 0.01);
#endif

    test_one<Polygon, Polygon, Polygon>("ticket_6958", ticket_6958[0], ticket_6958[1],
                1, 4, 4.34355e-05, 0.01);

#if ! defined(BOOST_GEOMETRY_NO_ROBUSTNESS)
    test_one<Polygon, Polygon, Polygon>("ticket_8652", ticket_8652[0], ticket_8652[1],
                1, 4, 0.0003);
#endif

    test_one<Polygon, Polygon, Polygon>("ticket_8310a", ticket_8310a[0], ticket_8310a[1],
                1, 5, 0.3843747);
    test_one<Polygon, Polygon, Polygon>("ticket_8310b", ticket_8310b[0], ticket_8310b[1],
                1, 5, 0.3734379);
    test_one<Polygon, Polygon, Polygon>("ticket_8310c", ticket_8310c[0], ticket_8310c[1],
                1, 5, 0.4689541);

    test_one<Polygon, Polygon, Polygon>("ticket_9081_15",
                ticket_9081_15[0], ticket_9081_15[1],
                1, 4, 0.0068895780745301394);

    test_one<Polygon, Polygon, Polygon>("ticket_10108_a",
                ticket_10108_a[0], ticket_10108_a[1],
                0, 0, 0.0);
    test_one<Polygon, Polygon, Polygon>("ticket_10108_b",
                ticket_10108_b[0], ticket_10108_b[1],
                0, 0, 0.0);

    test_one<Polygon, Polygon, Polygon>("ticket_10747_a",
                ticket_10747_a[0], ticket_10747_a[1],
                1, 4, 70368744177664);
    test_one<Polygon, Polygon, Polygon>("ticket_10747_b",
                ticket_10747_b[0], ticket_10747_b[1],
                1, 4, 7036874417766400);
    test_one<Polygon, Polygon, Polygon>("ticket_10747_c",
                ticket_10747_c[0], ticket_10747_c[1],
                1, 4, 17592186044416);
    test_one<Polygon, Polygon, Polygon>("ticket_10747_d",
                ticket_10747_d[0], ticket_10747_d[1],
                1, 4, 703687777321);
    test_one<Polygon, Polygon, Polygon>("ticket_10747_e",
                ticket_10747_e[0], ticket_10747_e[1],
                1, 4, 7.0368748575710959e-15);

#if ! defined(BOOST_GEOMETRY_NO_ROBUSTNESS)
    test_one<Polygon, Polygon, Polygon>("ticket_9563", ticket_9563[0], ticket_9563[1],
                1, 8, 129.90381);
#endif

#if ! defined(BOOST_GEOMETRY_NO_ROBUSTNESS)
    test_one<Polygon, Polygon, Polygon>("buffer_mp1", buffer_mp1[0], buffer_mp1[1],
                1, 31, 2.271707796);
#endif

    test_one<Polygon, Polygon, Polygon>("buffer_mp2", buffer_mp2[0], buffer_mp2[1],
                1, 29, 0.457126);

    return;


    test_one<Polygon, Polygon, Polygon>(
            "polygon_pseudo_line",
            "Polygon((0 0,0 4,4 4,4 0,0 0))",
            "Polygon((2 -2,2 -1,2 6,2 -2))",
            5, 22, 1.1901714);
}

template <typename Polygon, typename Box>
void test_areal_clip()
{
    test_one<Polygon, Box, Polygon>("boxring", example_box, example_ring,
        2, 12, 1.09125);
    test_one<Polygon, Polygon, Box>("boxring2", example_ring,example_box,
        2, 12, 1.09125);

    test_one<Polygon, Box, Polygon>("boxpoly", example_box, example_polygon,
        3, 19, 0.840166);

    test_one<Polygon, Box, Polygon>("poly1", example_box,
        "POLYGON((3.4 2,4.1 3,5.3 2.6,5.4 1.2,4.9 0.8,2.9 0.7,2 1.3,2.4 1.7,2.8 1.8,3.4 1.2,3.7 1.6,3.4 2))",
        2, 12, 1.09125);

    test_one<Polygon, Box, Polygon>("clip_poly2", example_box,
        "POLYGON((2 1.3,2.4 1.7,2.8 1.8,3.4 1.2,3.7 1.6,3.4 2,4.1 2.5,5.3 2.5,5.4 1.2,4.9 0.8,2.9 0.7,2 1.3))",
        2, 12, 1.00375);

    test_one<Polygon, Box, Polygon>("clip_poly3", example_box,
        "POLYGON((2 1.3,2.4 1.7,2.8 1.8,3.4 1.2,3.7 1.6,3.4 2,4.1 2.5,4.5 2.5,4.5 1.2,4.9 0.8,2.9 0.7,2 1.3))",
        2, 12, 1.00375);

    test_one<Polygon, Box, Polygon>("clip_poly4", example_box,
        "POLYGON((2 1.3,2.4 1.7,2.8 1.8,3.4 1.2,3.7 1.6,3.4 2,4.1 2.5,4.5 2.5,4.5 2.3,5.0 2.3,5.0 2.1,4.5 2.1,4.5 1.9,4.0 1.9,4.5 1.2,4.9 0.8,2.9 0.7,2 1.3))",
        2, 16, 0.860892);

    test_one<Polygon, Box, Polygon>("clip_poly5", example_box,
        "POLYGON((2 1.3,2.4 1.7,2.8 1.8,3.4 1.2,3.7 1.6,3.4 2,4.1 2.5,4.5 1.2,2.9 0.7,2 1.3))",
        2, 11, 0.7575961);

    test_one<Polygon, Box, Polygon>("clip_poly6", example_box,
        "POLYGON((2 1.3,2.4 1.7,2.8 1.8,3.4 1.2,3.7 1.6,3.4 2,4.0 3.0,5.0 2.0,2.9 0.7,2 1.3))",
        2, 13, 1.0744456);

    test_one<Polygon, Box, Polygon>("clip_poly7", "Box(0 0, 3 3)",
        "POLYGON((2 2, 1 4, 2 4, 3 3, 2 2))",
        1, 4, 0.75);
}


template <typename Box>
void test_boxes(std::string const& wkt1, std::string const& wkt2, double expected_area, bool expected_result)
{
    Box box1, box2;
    bg::read_wkt(wkt1, box1);
    bg::read_wkt(wkt2, box2);

    Box box_out;
    bool detected = bg::intersection(box1, box2, box_out);
    typename bg::default_area_result<Box>::type area = bg::area(box_out);

    BOOST_CHECK_EQUAL(detected, expected_result);
    if (detected && expected_result)
    {
        BOOST_CHECK_CLOSE(area, expected_area, 0.01);
    }
}

template <typename P>
void test_point_output()
{
    typedef bg::model::linestring<P> linestring;
    typedef bg::model::polygon<P> polygon;
    typedef bg::model::box<P> box;
    //typedef bg::model::segment<P> segment;

    test_point_output<polygon, polygon>(simplex_normal[0], simplex_normal[1], 6);
    test_point_output<box, polygon>("box(1 1,6 4)", simplex_normal[0], 4);
    test_point_output<linestring, polygon>("linestring(0 2,6 2)", simplex_normal[0], 2);
    // NYI because of sectionize:
    // test_point_output<segment, polygon>("linestring(0 2,6 2)", simplex_normal[0], 2);
    // NYI because needs special treatment:
    // test_point_output<box, box>("box(0 0,4 4)", "box(2 2,6 6)", 2);
}


template <typename Polygon, typename LineString>
void test_areal_linear()
{
    std::string const poly_simplex = "POLYGON((1 1,1 3,3 3,3 1,1 1))";

    test_one_lp<LineString, Polygon, LineString>("simplex", poly_simplex, "LINESTRING(0 2,4 2)", 1, 2, 2.0);
    test_one_lp<LineString, Polygon, LineString>("case2",   poly_simplex, "LINESTRING(0 1,4 3)", 1, 2, sqrt(5.0));
    test_one_lp<LineString, Polygon, LineString>("case3", "POLYGON((2 0,2 5,5 5,5 0,2 0))", "LINESTRING(0 1,1 2,3 2,4 3,6 3,7 4)", 1, 4, 2 + sqrt(2.0));
    test_one_lp<LineString, Polygon, LineString>("case4", "POLYGON((0 0,0 4,2 4,2 0,0 0))", "LINESTRING(1 1,3 2,1 3)", 2, 4, sqrt(5.0));

    test_one_lp<LineString, Polygon, LineString>("case5", poly_simplex, "LINESTRING(0 1,3 4)", 1, 2, sqrt(2.0));
    test_one_lp<LineString, Polygon, LineString>("case6", "POLYGON((2 0,2 4,3 4,3 1,4 1,4 3,5 3,5 1,6 1,6 3,7 3,7 1,8 1,8 3,9 3,9 0,2 0))", "LINESTRING(1 1,10 3)", 4, 8,
            // Pieces are 1 x 2/9:
            4.0 * sqrt(1.0 + 4.0/81.0));
    test_one_lp<LineString, Polygon, LineString>("case7", poly_simplex, "LINESTRING(1.5 1.5,2.5 2.5)", 1, 2, sqrt(2.0));
    test_one_lp<LineString, Polygon, LineString>("case8", poly_simplex, "LINESTRING(1 0,2 0)", 0, 0, 0.0);

    std::string const poly_9 = "POLYGON((1 1,1 4,4 4,4 1,1 1))";
    test_one_lp<LineString, Polygon, LineString>("case9", poly_9, "LINESTRING(0 1,1 2,2 2)", 1, 2, 1.0);
    test_one_lp<LineString, Polygon, LineString>("case10", poly_9, "LINESTRING(0 1,1 2,0 2)", 0, 0, 0.0);
    test_one_lp<LineString, Polygon, LineString>("case11", poly_9, "LINESTRING(2 2,4 2,3 3)", 1, 3, 2.0 + sqrt(2.0));
    test_one_lp<LineString, Polygon, LineString>("case12", poly_9, "LINESTRING(2 3,4 4,5 6)", 1, 2, sqrt(5.0));

    test_one_lp<LineString, Polygon, LineString>("case13", poly_9, "LINESTRING(3 2,4 4,2 3)", 1, 3, 2.0 * sqrt(5.0));
    test_one_lp<LineString, Polygon, LineString>("case14", poly_9, "LINESTRING(5 6,4 4,6 5)", 0, 0, 0.0);
    test_one_lp<LineString, Polygon, LineString>("case15", poly_9, "LINESTRING(0 2,1 2,1 3,0 3)", 1, 2, 1.0);
    test_one_lp<LineString, Polygon, LineString>("case16", poly_9, "LINESTRING(2 2,1 2,1 3,2 3)", 1, 4, 3.0);

    std::string const angly = "LINESTRING(2 2,2 1,4 1,4 2,5 2,5 3,4 3,4 4,5 4,3 6,3 5,2 5,2 6,0 4)";
    // PROPERTIES CHANGED BY switch_to_integer
    // TODO test_one_lp<LineString, Polygon, LineString>("case17", "POLYGON((1 1,1 5,4 5,4 1,1 1))", angly, 3, 8, 6.0);
    test_one_lp<LineString, Polygon, LineString>("case18", "POLYGON((1 1,1 5,5 5,5 1,1 1))", angly, 2, 12, 10.0 + sqrt(2.0));
    test_one_lp<LineString, Polygon, LineString>("case19", poly_9, "LINESTRING(1 2,1 3,0 3)", 1, 2, 1.0);
    test_one_lp<LineString, Polygon, LineString>("case20", poly_9, "LINESTRING(1 2,1 3,2 3)", 1, 3, 2.0);

    // PROPERTIES CHANGED BY switch_to_integer
    // TODO test_one_lp<LineString, Polygon, LineString>("case21", poly_9, "LINESTRING(1 2,1 4,4 4,4 1,2 1,2 2)", 1, 6, 11.0);

    // Compile test - arguments in any order:
    test_one<LineString, Polygon, LineString>("simplex", poly_simplex, "LINESTRING(0 2,4 2)", 1, 2, 2.0);
    test_one<LineString, LineString, Polygon>("simplex", "LINESTRING(0 2,4 2)", poly_simplex, 1, 2, 2.0);

    typedef typename bg::point_type<Polygon>::type Point;
    test_one<LineString, bg::model::ring<Point>, LineString>("simplex", poly_simplex, "LINESTRING(0 2,4 2)", 1, 2, 2.0);

}

template <typename P>
void test_all()
{
    typedef bg::model::linestring<P> linestring;
    typedef bg::model::polygon<P> polygon;
    typedef bg::model::box<P> box;
    typedef bg::model::segment<P> segment;

    typedef bg::model::polygon<P, false> polygon_ccw;
    typedef bg::model::polygon<P, true, false> polygon_open;
    typedef bg::model::polygon<P, false, false> polygon_ccw_open;
    boost::ignore_unused<polygon_ccw, polygon_open, polygon_ccw_open>();

    std::string clip = "box(2 2,8 8)";

    test_areal_linear<polygon, linestring>();
#if ! defined(BOOST_GEOMETRY_TEST_ONLY_ONE_TYPE)
    test_areal_linear<polygon_open, linestring>();
    test_areal_linear<polygon_ccw, linestring>();
    test_areal_linear<polygon_ccw_open, linestring>();
#endif

    // Test polygons clockwise and counter clockwise
    test_areal<polygon>();

#if ! defined(BOOST_GEOMETRY_TEST_ONLY_ONE_TYPE)
    test_areal<polygon_ccw>();
    test_areal<polygon_open>();
    test_areal<polygon_ccw_open>();
#endif

    test_areal_clip<polygon, box>();
#if ! defined(BOOST_GEOMETRY_TEST_ONLY_ONE_TYPE)
    test_areal_clip<polygon_ccw, box>();
#endif

#if defined(TEST_FAIL_DIFFERENT_ORIENTATIONS)
    // Should NOT compile
    // NOTE: this can probably be relaxed later on.
    test_one<polygon, polygon_ccw, polygon>("simplex_normal",
        simplex_normal[0], simplex_normal[1],
        1, 7, 5.47363293);
    // Output ccw, nyi (should be just reversing afterwards)
    test_one<polygon, polygon, polygon_ccw>("simplex_normal",
        simplex_normal[0], simplex_normal[1],
        1, 7, 5.47363293);
#endif

       // Basic check: box/linestring, is clipping OK? should compile in any order
    test_one<linestring, linestring, box>("llb", "LINESTRING(0 0,10 10)", clip, 1, 2, sqrt(2.0 * 6.0 * 6.0));
    test_one<linestring, box, linestring>("lbl", clip, "LINESTRING(0 0,10 10)", 1, 2, sqrt(2.0 * 6.0 * 6.0));

    // Box/segment
    test_one<linestring, segment, box>("lsb", "LINESTRING(0 0,10 10)", clip, 1, 2, sqrt(2.0 * 6.0 * 6.0));
    test_one<linestring, box, segment>("lbs", clip, "LINESTRING(0 0,10 10)", 1, 2, sqrt(2.0 * 6.0 * 6.0));

    // Completely inside
    test_one<linestring, linestring, box>("llbi", "LINESTRING(3 3,7 7)", clip, 1, 2, sqrt(2.0 * 4.0 * 4.0));

    // Completely outside
    test_one<linestring, linestring, box>("llbo", "LINESTRING(9 9,10 10)", clip, 0, 0, 0);

    // Touching with point (-> output linestring with ONE point)
    //std::cout << "Note: the output line is degenerate! Might be removed!" << std::endl;
    test_one<linestring, linestring, box>("llb_touch", "LINESTRING(8 8,10 10)", clip, 1, 1, 0.0);

    // Along border
    test_one<linestring, linestring, box>("llb_along", "LINESTRING(2 2,2 8)", clip, 1, 2, 6);

    // Outputting two lines (because of 3-4-5 constructions (0.3,0.4,0.5)
    // which occur 4 times, the length is expected to be 2.0)
    test_one<linestring, linestring, box>("llb_2", "LINESTRING(1.7 1.6,2.3 2.4,2.9 1.6,3.5 2.4,4.1 1.6)", clip, 2, 6, 4 * 0.5);

    // linear
    test_one<P, linestring, linestring>("llp1", "LINESTRING(0 0,1 1)", "LINESTRING(0 1,1 0)", 1, 1, 0);
    test_one<P, segment, segment>("ssp1", "LINESTRING(0 0,1 1)", "LINESTRING(0 1,1 0)", 1, 1, 0);
    test_one<P, linestring, linestring>("llp2", "LINESTRING(0 0,1 1)", "LINESTRING(0 0,2 2)", 2, 2, 0);

    // polygons outputing points
    //test_one<P, polygon, polygon>("ppp1", simplex_normal[0], simplex_normal[1], 1, 7, 5.47363293);

    test_boxes<box>("box(2 2,8 8)", "box(4 4,10 10)", 16, true);
    test_boxes<box>("box(2 2,8 7)", "box(4 4,10 10)", 12, true);
    test_boxes<box>("box(2 2,8 7)", "box(14 4,20 10)", 0, false);
    test_boxes<box>("box(2 2,4 4)", "box(4 4,8 8)", 0, true);

    test_point_output<P>();


    /*
    test_one<polygon, box, polygon>(99, "box(115041.10 471900.10, 118334.60 474523.40)",
            "POLYGON ((115483.40 474533.40, 116549.40 474059.20, 117199.90 473762.50, 117204.90 473659.50, 118339.40 472796.90, 118334.50 472757.90, 118315.10 472604.00, 118344.60 472520.90, 118277.90 472419.10, 118071.40 472536.80, 118071.40 472536.80, 117943.10 472287.70, 117744.90 472248.40, 117708.00 472034.50, 117481.90 472056.90, 117481.90 472056.90, 117272.30 471890.10, 117077.90 472161.20, 116146.60 473054.50, 115031.10 473603.30, 115483.40 474533.40))",
                1, 26, 3727690.74);
    */

}

void test_pointer_version()
{
    std::vector<test::test_point_xy*> ln;
    test::test_point_xy* p;
    p = new test::test_point_xy; p->x = 0; p->y = 0; ln.push_back(p);
    p = new test::test_point_xy; p->x = 10; p->y = 10; ln.push_back(p);

    bg::model::box<bg::model::d2::point_xy<double> > box;
    bg::assign_values(box, 2, 2, 8, 8);

    typedef bg::model::linestring<bg::model::d2::point_xy<double> > output_type;
    std::vector<output_type> clip;
    bg::detail::intersection::intersection_insert<output_type>(box, ln, std::back_inserter(clip));

    double length = 0;
    int n = 0;
    for (std::vector<output_type>::const_iterator it = clip.begin();
            it != clip.end(); ++it)
    {
        length += bg::length(*it);
        n += bg::num_points(*it);
    }

    BOOST_CHECK_EQUAL(clip.size(), 1u);
    BOOST_CHECK_EQUAL(n, 2);
    BOOST_CHECK_CLOSE(length, sqrt(2.0 * 6.0 * 6.0), 0.001);

    for (unsigned int i = 0; i < ln.size(); i++)
    {
        delete ln[i];
    }
}


template <typename P>
void test_exception()
{
    typedef bg::model::polygon<P> polygon;

    try
    {
        // Define polygon with a spike (= invalid)
        std::string spike = "POLYGON((0 0,0 4,2 4,2 6,2 4,4 4,4 0,0 0))";

        test_one<polygon, polygon, polygon>("with_spike",
            simplex_normal[0], spike,
            0, 0, 0);
    }
    catch(bg::overlay_invalid_input_exception const& )
    {
        return;
    }
    BOOST_CHECK_MESSAGE(false, "No exception thrown");
}

template <typename Point>
void test_rational()
{
    typedef bg::model::polygon<Point> polygon;
    test_one<polygon, polygon, polygon>("simplex_normal",
        simplex_normal[0], simplex_normal[1],
        1, 7, 5.47363293);
}


template <typename P>
void test_boxes_per_d(P const& min1, P const& max1, P const& min2, P const& max2, bool expected_result)
{
    typedef bg::model::box<P> box;
    
    box box_out;
    bool detected = bg::intersection(box(min1, max1), box(min2, max2), box_out);

    BOOST_CHECK_EQUAL(detected, expected_result);
    if ( detected && expected_result )
    {
        BOOST_CHECK( bg::equals(box_out, box(min2,max1)) );
    }
}

template <typename CoordinateType>
void test_boxes_nd()
{
    typedef bg::model::point<CoordinateType, 1, bg::cs::cartesian> p1;
    typedef bg::model::point<CoordinateType, 2, bg::cs::cartesian> p2;
    typedef bg::model::point<CoordinateType, 3, bg::cs::cartesian> p3;

    test_boxes_per_d(p1(0), p1(5), p1(3), p1(6), true);
    test_boxes_per_d(p2(0,0), p2(5,5), p2(3,3), p2(6,6), true);
    test_boxes_per_d(p3(0,0,0), p3(5,5,5), p3(3,3,3), p3(6,6,6), true);
}

template <typename CoordinateType>
void test_ticket_10868(std::string const& wkt_out)
{
    typedef bg::model::point<CoordinateType, 2, bg::cs::cartesian> point_type;
    typedef bg::model::polygon
        <
            point_type, /*ClockWise*/false, /*Closed*/false
        > polygon_type;
    typedef bg::model::multi_polygon<polygon_type> multipolygon_type;

    polygon_type polygon1;
    bg::read_wkt(ticket_10868[0], polygon1);
    polygon_type polygon2;
    bg::read_wkt(ticket_10868[1], polygon2);

    multipolygon_type multipolygon_out;
    bg::intersection(polygon1, polygon2, multipolygon_out);
    std::stringstream stream;
    stream << bg::wkt(multipolygon_out);

    BOOST_CHECK_EQUAL(stream.str(), wkt_out);

    test_one<polygon_type, polygon_type, polygon_type>("ticket_10868",
        ticket_10868[0], ticket_10868[1],
        1, 7, 20266195244586);
}

int test_main(int, char* [])
{
    test_all<bg::model::d2::point_xy<double> >();

#if ! defined(BOOST_GEOMETRY_TEST_ONLY_ONE_TYPE)
    test_all<bg::model::d2::point_xy<float> >();

#if defined(HAVE_TTMATH)
    std::cout << "Testing TTMATH" << std::endl;
    test_all<bg::model::d2::point_xy<ttmath_big> >();
#endif

#endif

    test_exception<bg::model::d2::point_xy<double> >();
    test_pointer_version();
#if ! defined(BOOST_GEOMETRY_RESCALE_TO_ROBUST)
    test_rational<bg::model::d2::point_xy<boost::rational<int> > >();
#endif

    test_boxes_nd<double>();

#ifdef BOOST_GEOMETRY_TEST_INCLUDE_FAILING_TESTS
    // ticket #10868 still fails for 32-bit integers
    test_ticket_10868<int32_t>("MULTIPOLYGON(((33520458 6878575,33480192 14931538,31446819 18947953,30772384 19615678,30101303 19612322,30114725 16928001,33520458 6878575)))");

#if !defined(BOOST_NO_INT64) || defined(BOOST_HAS_INT64_T) || defined(BOOST_HAS_MS_INT64)
    test_ticket_10868<int64_t>("MULTIPOLYGON(((33520458 6878575,33480192 14931538,31446819 18947953,30772384 19615678,30101303 19612322,30114725 16928001,33520458 6878575)))");
#endif

    if (BOOST_GEOMETRY_CONDITION(sizeof(long) * CHAR_BIT >= 64))
    {
        test_ticket_10868<long>("MULTIPOLYGON(((33520458 6878575,33480192 14931538,31446819 18947953,30772384 19615678,30101303 19612322,30114725 16928001,33520458 6878575)))");
    }

#if defined(BOOST_HAS_LONG_LONG)
    test_ticket_10868<boost::long_long_type>("MULTIPOLYGON(((33520458 6878575,33480192 14931538,31446819 18947953,30772384 19615678,30101303 19612322,30114725 16928001,33520458 6878575)))");
#endif
#endif

    return 0;
}