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

// Copyright (c) 2014, Oracle and/or its affiliates.

// Contributed and/or modified by Menelaos Karavelas, on behalf of Oracle

// Licensed under the Boost Software License version 1.0.
// http://www.boost.org/users/license.html

#ifndef BOOST_TEST_MODULE
#define BOOST_TEST_MODULE test_is_valid
#endif

#include <iostream>
#include <sstream>
#include <string>

#include <boost/range.hpp>

#include <boost/test/included/unit_test.hpp>

#include <boost/geometry/core/closure.hpp>
#include <boost/geometry/core/tag.hpp>
#include <boost/geometry/core/tags.hpp>

#include <boost/geometry/util/range.hpp>

#include <boost/geometry/geometries/point_xy.hpp>
#include <boost/geometry/geometries/segment.hpp>
#include <boost/geometry/geometries/box.hpp>
#include <boost/geometry/geometries/linestring.hpp>
#include <boost/geometry/geometries/ring.hpp>
#include <boost/geometry/geometries/polygon.hpp>
#include <boost/geometry/geometries/multi_point.hpp>
#include <boost/geometry/geometries/multi_linestring.hpp>
#include <boost/geometry/geometries/multi_polygon.hpp>

#include <boost/geometry/strategies/strategies.hpp>

#include <boost/geometry/io/wkt/wkt.hpp>

#include <boost/geometry/algorithms/append.hpp>
#include <boost/geometry/algorithms/is_valid.hpp>

#include "from_wkt.hpp"

#ifdef GEOMETRY_TEST_DEBUG
#include "pretty_print_geometry.hpp"
#endif


namespace bg = ::boost::geometry;

typedef bg::model::point<double, 2, bg::cs::cartesian> point_type;
typedef bg::model::segment<point_type>                 segment_type;
typedef bg::model::box<point_type>                     box_type;
typedef bg::model::linestring<point_type>              linestring_type;
typedef bg::model::multi_linestring<linestring_type>   multi_linestring_type;
// cw, ccw, open and closed rings
typedef bg::model::ring<point_type,false,false>        open_ccw_ring_type;
typedef bg::model::ring<point_type,false,true>         closed_ccw_ring_type;
typedef bg::model::ring<point_type,true,false>         open_cw_ring_type;
typedef bg::model::ring<point_type,true,true>          closed_cw_ring_type;
// cw, ccw, open and closed polygons
typedef bg::model::polygon<point_type,false,false>     open_ccw_polygon_type;
typedef bg::model::polygon<point_type,false,true>      closed_ccw_polygon_type;
typedef bg::model::polygon<point_type,true,false>      open_cw_polygon_type;
typedef bg::model::polygon<point_type,true,true>       closed_cw_polygon_type;

// multi-geometries
typedef bg::model::multi_point<point_type>             multi_point_type;


//----------------------------------------------------------------------------


template
<
    typename Geometry,
    typename ClosedGeometry = Geometry,
    typename Tag = typename bg::tag<Geometry>::type
>
struct test_valid
{
    static inline void apply(Geometry const& g, bool expected_result)
    {
#ifdef GEOMETRY_TEST_DEBUG
        std::cout << "=======" << std::endl;
#endif
        bool valid = bg::is_valid(g);
        BOOST_CHECK_MESSAGE( valid == expected_result,
            "Expected: " << valid
            << " detected: " << expected_result
            << " wkt: " << bg::wkt(g) );

#ifdef GEOMETRY_TEST_DEBUG
        std::cout << "Geometry: ";
        pretty_print_geometry<Geometry>::apply(std::cout, g);
        std::cout << std::endl;
        std::cout << std::boolalpha;
        std::cout << "is valid? " << valid << std::endl;
        std::cout << "expected result: " << expected_result << std::endl;
        std::cout << "=======" << std::endl;
        std::cout << std::endl << std::endl;
        std::cout << std::noboolalpha;
#endif
    }
};

template <typename Ring, typename ClosedRing>
struct test_valid<Ring, ClosedRing, bg::ring_tag>
{
    template <typename OpenRing>
    static inline ClosedRing convert_to_closed(OpenRing const& open_ring)
    {
        ClosedRing closed_ring;
        bg::append(closed_ring, open_ring);
        if ( boost::size(open_ring) > 0 )
        {
            bg::append(closed_ring, bg::range::front(open_ring));
        }
        return closed_ring;
    }

    static inline void apply(Ring const& ring, bool expected_result)
    {
#ifdef GEOMETRY_TEST_DEBUG
        std::cout << "=======" << std::endl;
#endif

        bool valid = bg::is_valid(ring);
        BOOST_CHECK_MESSAGE( valid == expected_result,
            "Expected: " << valid
            << " detected: " << expected_result
            << " wkt: " << bg::wkt(ring) );

        ClosedRing closed_ring;
        bool closed_valid(!expected_result);
        if ( bg::closure<Ring>::value == bg::open )
        {
            closed_ring = convert_to_closed(ring);
            closed_valid = bg::is_valid(closed_ring);
            BOOST_CHECK( closed_valid == expected_result );
        };

#ifdef GEOMETRY_TEST_DEBUG
        std::cout << "Ring (";
        if ( bg::closure<Ring>::value == bg::open )
        {
            std::cout << "open";
        }
        else
        {
            std::cout << "closed";
        }
        std::cout << "): ";
        pretty_print_geometry<Ring>::apply(std::cout, ring);
        std::cout << std::endl;
        std::cout << "open: " << bg::wkt(ring) << std::endl;
        if ( bg::closure<Ring>::value == bg::open )
        {
            std::cout << "closed: " << bg::wkt(closed_ring) << std::endl;
        }
        std::cout << std::boolalpha;
        std::cout << "is valid? " << valid << std::endl;
        if ( bg::closure<Ring>::value == bg::open )
        {
            std::cout << "is valid (closed)? " << closed_valid << std::endl;
        }
        std::cout << "expected result: " << expected_result << std::endl;
        std::cout << "=======" << std::endl;
        std::cout << std::endl << std::endl;
        std::cout << std::noboolalpha;
#endif
    }
};


//----------------------------------------------------------------------------


BOOST_AUTO_TEST_CASE( test_is_valid_point )
{
#ifdef GEOMETRY_TEST_DEBUG
    std::cout << std::endl << std::endl;
    std::cout << "************************************" << std::endl;
    std::cout << " is_valid: POINT " << std::endl;
    std::cout << "************************************" << std::endl;
#endif

    typedef point_type G;

    typedef test_valid<G> test;

    test::apply(from_wkt<G>("POINT(0 0)"), true);
}

BOOST_AUTO_TEST_CASE( test_is_valid_multipoint )
{
#ifdef GEOMETRY_TEST_DEBUG
    std::cout << std::endl << std::endl;
    std::cout << "************************************" << std::endl;
    std::cout << " is_valid: MULTIPOINT " << std::endl;
    std::cout << "************************************" << std::endl;
#endif

    typedef multi_point_type G;

    typedef test_valid<G> test;

    test::apply(from_wkt<G>("MULTIPOINT()"), false);
    test::apply(from_wkt<G>("MULTIPOINT(0 0,0 0)"), true);
    test::apply(from_wkt<G>("MULTIPOINT(0 0,1 0,1 1,0 1)"), true);
    test::apply(from_wkt<G>("MULTIPOINT(0 0,1 0,1 1,1 0,0 1)"), true);
}

BOOST_AUTO_TEST_CASE( test_is_valid_segment )
{
#ifdef GEOMETRY_TEST_DEBUG
    std::cout << std::endl << std::endl;
    std::cout << "************************************" << std::endl;
    std::cout << " is_valid: SEGMENT " << std::endl;
    std::cout << "************************************" << std::endl;
#endif

    typedef segment_type G;

    typedef test_valid<G> test;

    test::apply(from_wkt<G>("SEGMENT(0 0,0 0)"), false);
    test::apply(from_wkt<G>("SEGMENT(0 0,1 0)"), true);
}

BOOST_AUTO_TEST_CASE( test_is_valid_box )
{
#ifdef GEOMETRY_TEST_DEBUG
    std::cout << std::endl << std::endl;
    std::cout << "************************************" << std::endl;
    std::cout << " is_valid: BOX " << std::endl;
    std::cout << "************************************" << std::endl;
#endif

    typedef box_type G;

    typedef test_valid<G> test;

    // boxes where the max corner and below and/or to the left of min corner
    test::apply(from_wkt<G>("BOX(0 0,-1 0)"), false);
    test::apply(from_wkt<G>("BOX(0 0,0 -1)"), false);
    test::apply(from_wkt<G>("BOX(0 0,-1 -1)"), false);

    // boxes of zero area; they are not 2-dimensional, so invalid
    test::apply(from_wkt<G>("BOX(0, 0, 0, 0)"), false);
    test::apply(from_wkt<G>("BOX(0 0,1 0)"), false);
    test::apply(from_wkt<G>("BOX(0 0,0 1)"), false);

    test::apply(from_wkt<G>("BOX(0 0,1 1)"), true);
}

BOOST_AUTO_TEST_CASE( test_is_valid_linestring )
{
#ifdef GEOMETRY_TEST_DEBUG
    std::cout << std::endl << std::endl;
    std::cout << "************************************" << std::endl;
    std::cout << " is_valid: LINESTRING " << std::endl;
    std::cout << "************************************" << std::endl;
#endif

    typedef linestring_type G;

    typedef test_valid<G> test;

    static const bool allow_spikes = true;

    // empty linestring
    test::apply(from_wkt<G>("LINESTRING()"), false);

    // 1-point linestrings
    test::apply(from_wkt<G>("LINESTRING(0 0)"), false);
    test::apply(from_wkt<G>("LINESTRING(0 0,0 0)"), false);
    test::apply(from_wkt<G>("LINESTRING(0 0,0 0,0 0)"), false);

    // 2-point linestrings
    test::apply(from_wkt<G>("LINESTRING(0 0,1 2)"), true);
    test::apply(from_wkt<G>("LINESTRING(0 0,1 2,1 2)"), true);
    test::apply(from_wkt<G>("LINESTRING(0 0,0 0,1 2,1 2)"), true);
    test::apply(from_wkt<G>("LINESTRING(0 0,0 0,0 0,1 2,1 2)"), true);

    // 3-point linestrings
    test::apply(from_wkt<G>("LINESTRING(0 0,1 0,2 10)"), true);
    test::apply(from_wkt<G>("LINESTRING(0 0,1 0,2 10,0 0)"), true);
    test::apply(from_wkt<G>("LINESTRING(0 0,10 0,10 10,5 0)"), true);
    test::apply(from_wkt<G>("LINESTRING(0 0,10 0,10 10,5 0,4 0)"), true);
    test::apply(from_wkt<G>("LINESTRING(0 0,10 0,10 10,5 0,4 0,3 0)"), true);
    test::apply(from_wkt<G>("LINESTRING(0 0,10 0,10 10,5 0,4 0,-1 0)"), true);
    test::apply(from_wkt<G>("LINESTRING(0 0,1 0,1 1,-1 1,-1 0,0 0)"), true);

    // should this be valid? we have two overlapping segments
    test::apply(from_wkt<G>("LINESTRING(0 0,1 0,1 1,-1 1,-1 0,0.5 0)"), true);

    // linestrings with spikes
    test::apply(from_wkt<G>("LINESTRING(0 0,1 2,0 0)"), allow_spikes);
    test::apply(from_wkt<G>("LINESTRING(0 0,1 2,1 2,0 0)"), allow_spikes);
    test::apply(from_wkt<G>("LINESTRING(0 0,0 0,1 2,1 2,0 0)"), allow_spikes);
    test::apply(from_wkt<G>("LINESTRING(0 0,0 0,0 0,1 2,1 2,0 0,0 0)"),
                allow_spikes);
    test::apply(from_wkt<G>("LINESTRING(0 0,10 0,5 0)"), allow_spikes);    
    test::apply(from_wkt<G>("LINESTRING(0 0,10 0,10 10,5 0,0 0)"),
                allow_spikes);
    test::apply(from_wkt<G>("LINESTRING(0 0,10 0,10 10,5 0,4 0,6 0)"),
                allow_spikes);
    test::apply(from_wkt<G>("LINESTRING(0 0,1 0,1 1,5 5,4 4)"),
                allow_spikes);
    test::apply(from_wkt<G>("LINESTRING(0 0,1 0,1 1,5 5,4 4,6 6)"),
                allow_spikes);
    test::apply(from_wkt<G>("LINESTRING(0 0,1 0,1 1,5 5,4 4,4 0)"),
                allow_spikes);
}

BOOST_AUTO_TEST_CASE( test_is_valid_multilinestring )
{
#ifdef GEOMETRY_TEST_DEBUG
    std::cout << std::endl << std::endl;
    std::cout << "************************************" << std::endl;
    std::cout << " is_valid: MULTILINESTRING " << std::endl;
    std::cout << "************************************" << std::endl;
#endif

    typedef multi_linestring_type G;

    typedef test_valid<G> test;

    static const bool allow_spikes = true;

    // empty multilinestring
    test::apply(from_wkt<G>("MULTILINESTRING()"), false);

    // multilinestring with empty linestring(s)
    test::apply(from_wkt<G>("MULTILINESTRING(())"), false);
    test::apply(from_wkt<G>("MULTILINESTRING((),(),())"), false);
    test::apply(from_wkt<G>("MULTILINESTRING((),(0 1,1 0))"), false);

    // multilinestring with invalid linestrings
    test::apply(from_wkt<G>("MULTILINESTRING((0 0),(0 1,1 0))"), false);
    test::apply(from_wkt<G>("MULTILINESTRING((0 0,0 0),(0 1,1 0))"), false);
    test::apply(from_wkt<G>("MULTILINESTRING((0 0),(1 0))"), false);
    test::apply(from_wkt<G>("MULTILINESTRING((0 0,0 0),(1 0,1 0))"), false);
    test::apply(from_wkt<G>("MULTILINESTRING((0 0),(0 0))"), false);
    test::apply(from_wkt<G>("MULTILINESTRING((0 0,1 0,0 0),(5 0))"), false);

    // multilinstring that has linestrings with spikes
    test::apply(from_wkt<G>("MULTILINESTRING((0 0,1 0,0 0),(5 0,1 0,4 1))"),
                allow_spikes);
    test::apply(from_wkt<G>("MULTILINESTRING((0 0,1 0,0 0),(1 0,2 0))"),
                allow_spikes);
    

    // valid multilinestrings
    test::apply(from_wkt<G>("MULTILINESTRING((0 0,1 0,2 0),(5 0,1 0,4 1))"),
                true);
    test::apply(from_wkt<G>("MULTILINESTRING((0 0,1 0,2 0),(1 0,2 0))"),
                true);
    test::apply(from_wkt<G>("MULTILINESTRING((0 0,1 1),(0 1,1 0))"), true);
    test::apply(from_wkt<G>("MULTILINESTRING((0 0,1 1,2 2),(0 1,1 0,2 2))"),
                true);
}


template <typename Point>
void test_is_valid_open_ring()
{
#ifdef GEOMETRY_TEST_DEBUG
    std::cout << std::endl << std::endl;
    std::cout << "************************************" << std::endl;
    std::cout << " is_valid: RING (open) " << std::endl;
    std::cout << "************************************" << std::endl;
#endif

    typedef bg::model::ring<Point, false, false> OG; // ccw, open ring
    typedef bg::model::ring<Point, false, true> CG; // ccw, closed ring
 
    typedef test_valid<OG, CG> test;

    static const bool allow_duplicates = true;

    // not enough points
    test::apply(from_wkt<OG>("POLYGON(())"), false);
    test::apply(from_wkt<OG>("POLYGON((0 0))"), false);
    test::apply(from_wkt<OG>("POLYGON((0 0,1 0))"), false);

    // duplicate points
    test::apply(from_wkt<OG>("POLYGON((0 0,0 0,0 0))"), false);
    test::apply(from_wkt<OG>("POLYGON((0 0,1 0,1 0))"), false);
    test::apply(from_wkt<OG>("POLYGON((0 0,1 0,0 0))"), false);
    test::apply(from_wkt<OG>("POLYGON((0 0,1 0,1 1,0 0))"),
                allow_duplicates);
    test::apply(from_wkt<OG>("POLYGON((0 0,1 0,1 0,1 1))"),
                allow_duplicates);
    test::apply(from_wkt<OG>("POLYGON((0 0,1 0,1 0,1 1,0 0))"),
                allow_duplicates);

    // with spikes
    test::apply(from_wkt<OG>("POLYGON((0 0,2 0,2 2,0 2,1 2))"), false);
    test::apply(from_wkt<OG>("POLYGON((0 0,2 0,1 0,2 2))"), false);
    test::apply(from_wkt<OG>("POLYGON((0 0,1 0,2 0,1 0,4 0,4 4))"), false);
    test::apply(from_wkt<OG>("POLYGON((0 0,2 0,2 2,1 0))"), false);
    test::apply(from_wkt<OG>("POLYGON((0 0,2 0,1 0))"), false);
    test::apply(from_wkt<OG>("POLYGON((0 0,5 0,5 5,4 4,5 5,0 5))"), false);
    test::apply(from_wkt<OG>("POLYGON((0 0,5 0,5 5,4 4,3 3,5 5,0 5))"), false);

    // with spikes and duplicate points
    test::apply(from_wkt<OG>("POLYGON((0 0,0 0,2 0,2 0,1 0,1 0))"), false);

    // with self-crossings
    test::apply(from_wkt<OG>("POLYGON((0 0,5 0,5 5,3 -1,0 5))"), false);

    // with self-crossings and duplicate points
    test::apply(from_wkt<OG>("POLYGON((0 0,5 0,5 5,5 5,3 -1,0 5,0 5))"),
                false);

    // with self-intersections
    test::apply(from_wkt<OG>("POLYGON((0 0,5 0,5 5,3 5,3 0,2 0,2 5,0 5))"),
                false);

    test::apply(from_wkt<OG>("POLYGON((0 0,5 0,5 5,3 5,3 0,2 5,0 5))"),
                false);

    test::apply(from_wkt<OG>("POLYGON((0 0,5 0,5 1,1 1,1 2,2 2,3 1,4 2,5 2,5 5,0 5))"),
                false);

    // with self-intersections and duplicate points
    test::apply(from_wkt<OG>("POLYGON((0 0,5 0,5 5,3 5,3 5,3 0,3 0,2 0,2 0,2 5,2 5,0 5))"),
                false);


    // next two suggested by Adam Wulkiewicz
    test::apply(from_wkt<OG>("POLYGON((0 0,5 0,5 5,0 5,4 4,2 2,0 5))"), false);
    test::apply(from_wkt<OG>("POLYGON((0 0,5 0,5 5,1 4,4 4,4 1,0 5))"),
                false);

    // and a few more
    test::apply(from_wkt<OG>("POLYGON((0 0,5 0,5 5,4 4,1 4,1 1,4 1,4 4,0 5))"),
                false);
    test::apply(from_wkt<OG>("POLYGON((0 0,5 0,5 5,4 4,4 1,1 1,1 4,4 4,0 5))"),
                false);

    // valid rings
    test::apply(from_wkt<OG>("POLYGON((0 0,1 0,1 1))"), true);
    test::apply(from_wkt<OG>("POLYGON((0 0,1 0,1 1,0 1))"), true);

    typedef bg::model::ring<Point, true, false> OG1; // cw, open ring

    typedef test_valid<OG1> test1;

    test1::apply(from_wkt<OG1>("POLYGON((0 0,1 1,1 0))"), true);
    test1::apply(from_wkt<OG1>("POLYGON((0 0,0 1,1 1,1 0))"), true);
}


template <typename Point>
void test_is_valid_closed_ring()
{
#ifdef GEOMETRY_TEST_DEBUG
    std::cout << std::endl << std::endl;
    std::cout << "************************************" << std::endl;
    std::cout << " is_valid: RING (closed) " << std::endl;
    std::cout << "************************************" << std::endl;
#endif

    typedef bg::model::ring<Point, false, false> CG; // ccw, closed ring

    typedef test_valid<CG> test;

    // not enough points
    test::apply(from_wkt<CG>("POLYGON(())"), false);
    test::apply(from_wkt<CG>("POLYGON((0 0))"), false);
    test::apply(from_wkt<CG>("POLYGON((0 0,0 0))"), false);
    test::apply(from_wkt<CG>("POLYGON((0 0,1 0))"), false);
    test::apply(from_wkt<CG>("POLYGON((0 0,1 0,1 0))"), false);
    test::apply(from_wkt<CG>("POLYGON((0 0,1 0,2 0))"), false);

#if 0
    // TODO: these cases do not run and should be fixed
    test::apply(from_wkt<CG>("POLYGON((0 0,1 0,1 0,2 0))"), false);
    test::apply(from_wkt<CG>("POLYGON((0 0,1 0,2 0,2 0))"), false);

    // boundary not closed
    test::apply(from_wkt<CG>("POLYGON((0 0,1 0,1 1,1 2))"), false);
    test::apply(from_wkt<CG>("POLYGON((0 0,1 0,1 0,1 1,1 1,1 2))"),
                false);
#endif
}

BOOST_AUTO_TEST_CASE( test_is_valid_ring )
{
    test_is_valid_open_ring<point_type>();
    test_is_valid_closed_ring<point_type>();
}

BOOST_AUTO_TEST_CASE( test_is_valid_open_polygon )
{
#ifdef GEOMETRY_TEST_DEBUG
    std::cout << std::endl << std::endl;
    std::cout << "************************************" << std::endl;
    std::cout << " is_valid: POLYGON (open) " << std::endl;
    std::cout << "************************************" << std::endl;
#endif

    typedef open_ccw_polygon_type OG;
    //    typedef closed_ccw_polygon_type CG;

    typedef test_valid<OG> test;

    static const bool allow_duplicates = true;

    // not enough points in exterior ring
    test::apply(from_wkt<OG>("POLYGON(())"), false);
    test::apply(from_wkt<OG>("POLYGON((0 0))"), false);
    test::apply(from_wkt<OG>("POLYGON((0 0,1 0))"), false);

    // not enough points in interior ring
    test::apply(from_wkt<OG>("POLYGON((0 0,10 0,10 10,0 10),())"), false);
    test::apply(from_wkt<OG>("POLYGON((0 0,10 0,10 10,0 10),(1 1))"), false);
    test::apply(from_wkt<OG>("POLYGON((0 0,10 0,10 10,0 10),(1 1,2 2))"),
                false);

    // duplicate points in exterior ring
    test::apply(from_wkt<OG>("POLYGON((0 0,0 0,0 0))"), false);
    test::apply(from_wkt<OG>("POLYGON((0 0,1 0,1 0))"), false);
    test::apply(from_wkt<OG>("POLYGON((0 0,1 0,0 0))"), false);
    test::apply(from_wkt<OG>("POLYGON((0 0,1 0,1 1,0 0))"), allow_duplicates);
    test::apply(from_wkt<OG>("POLYGON((0 0,1 0,1 0,1 1))"), allow_duplicates);
    test::apply(from_wkt<OG>("POLYGON((0 0,1 0,1 0,1 1,0 0))"),
                allow_duplicates);

    // duplicate points in interior ring
    test::apply(from_wkt<OG>("POLYGON((0 0,10 0,10 10,0 10),(1 1,1 1,1 1))"),
                false);
    test::apply(from_wkt<OG>("POLYGON((0 0,10 0,10 10,0 10),(1 1,2 1,2 1))"),
                false);
    test::apply(from_wkt<OG>("POLYGON((0 0,10 0,10 10,0 10),(1 1,2 1,1 1))"),
                false);
    test::apply(from_wkt<OG>("POLYGON((0 0,10 0,10 10,0 10),(1 1,2 2,2 1,1 1))"),
                allow_duplicates);
    test::apply(from_wkt<OG>("POLYGON((0 0,10 0,10 10,0 10),(1 1,2 2,2 2,2 1))"),
                allow_duplicates);
    test::apply(from_wkt<OG>("POLYGON((0 0,10 0,10 10,0 10),(1 1,2 2,2 1,2 1,1 1))"),
                allow_duplicates);

    // with spikes in exterior ring
    test::apply(from_wkt<OG>("POLYGON((0 0,2 0,2 2,0 2,1 2))"), false);
    test::apply(from_wkt<OG>("POLYGON((0 0,2 0,1 0,2 2))"), false);
    test::apply(from_wkt<OG>("POLYGON((0 0,1 0,2 0,1 0,4 0,4 4))"), false);
    test::apply(from_wkt<OG>("POLYGON((0 0,2 0,2 2,1 0))"), false);
    test::apply(from_wkt<OG>("POLYGON((0 0,2 0,1 0))"), false);
    test::apply(from_wkt<OG>("POLYGON((0 0,5 0,5 5,4 4,5 5,0 5))"), false);
    test::apply(from_wkt<OG>("POLYGON((0 0,5 0,5 5,4 4,3 3,5 5,0 5))"), false);

    // with spikes in interior ring
    test::apply(from_wkt<OG>("POLYGON((0 0,10 0,10 10,0 10),(1 1,3 1,3 3,1 3,2 3))"),
                false);
    test::apply(from_wkt<OG>("POLYGON((0 0,10 0,10 10,0 10),(1 1,3 1,2 1,3 3))"),
                false);
    test::apply(from_wkt<OG>("POLYGON((0 0,10 0,10 10,0 10),(1 1,2 1,3 1,2 1,4 1,4 4))"),
                false);
    test::apply(from_wkt<OG>("POLYGON((0 0,10 0,10 10,0 10),(1 1,3 1,3 3,2 1))"),
                false);
    test::apply(from_wkt<OG>("POLYGON((0 0,10 0,10 10,0 10),(1 1,3 1,2 1))"),
                false);

    // with self-crossings in exterior ring
    test::apply(from_wkt<OG>("POLYGON((0 0,5 0,5 5,3 -1,0 5))"),
                false);

    // example from Norvald Ryeng
    test::apply(from_wkt<OG>("POLYGON((100 1300,140 1300,140 170,100 1700))"),
                false);
    // and with point order reversed
    test::apply(from_wkt<OG>("POLYGON((100 1300,100 1700,140 170,140 1300))"),
                false);

    // with self-crossings in interior ring
    test::apply(from_wkt<OG>("POLYGON((0 0,10 0,10 10,0 10),(3 3,3 7,4 6,2 6))"),
                false);

    // with self-crossings between rings
    test::apply(from_wkt<OG>("POLYGON((0 0,5 0,5 5,0 5),(1 1,2 1,1 -1))"),
                false);

    // with self-intersections in exterior ring
    test::apply(from_wkt<OG>("POLYGON((0 0,5 0,5 5,3 5,3 0,2 0,2 5,0 5))"),
                false);

    test::apply(from_wkt<OG>("POLYGON((0 0,5 0,5 5,3 5,3 0,2 5,0 5))"),
                false);

    test::apply(from_wkt<OG>("POLYGON((0 0,5 0,5 1,1 1,1 2,2 2,3 1,4 2,5 2,5 5,0 5))"),
                false);

    // next two suggested by Adam Wulkiewicz
    test::apply(from_wkt<OG>("POLYGON((0 0,5 0,5 5,0 5,4 4,2 2,0 5))"), false);
    test::apply(from_wkt<OG>("POLYGON((0 0,5 0,5 5,1 4,4 4,4 1,0 5))"),
               false);
    test::apply(from_wkt<OG>("POLYGON((0 0,5 0,5 5,4 4,1 4,1 1,4 1,4 4,0 5))"),
               false);
    test::apply(from_wkt<OG>("POLYGON((0 0,5 0,5 5,4 4,4 1,1 1,1 4,4 4,0 5))"),
               false);

    // with self-intersections in interior ring
    test::apply(from_wkt<OG>("POLYGON((-10 -10,10 -10,10 10,-10 10),(0 0,5 0,5 5,3 5,3 0,2 0,2 5,0 5))"),
                false);
    test::apply(from_wkt<OG>("POLYGON((-10 -10,10 -10,10 10,-10 10),(0 0,5 0,5 5,3 5,3 0,2 5,0 5))"),
                false);

    test::apply(from_wkt<OG>("POLYGON((-10 -10,10 -10,10 10,-10 10),(0 0,5 0,5 1,1 1,1 2,2 2,3 1,4 2,5 2,5 5,0 5))"),
                false);

    // with self-intersections between rings
    // hole has common segment with exterior ring
    test::apply(from_wkt<OG>("POLYGON((0 0,10 0,10 10,0 10),(1 1,1 10,2 10,2 1))"),
                false);
    test::apply(from_wkt<OG>("POLYGON((0 0,0 0,10 0,10 10,0 10,0 10),(1 1,1 10,1 10,2 10,2 10,2 1))"),
                false);
    // hole touches exterior ring at one point
    test::apply(from_wkt<OG>("POLYGON((0 0,10 0,10 10,0 10),(1 1,1 10,2 1))"),
                true);
    // "hole" is outside the exterior ring, but touches it
    test::apply(from_wkt<OG>("POLYGON((0 0,10 0,10 10,0 10),(5 10,4 11,6 11))"),
                false);
    // hole touches exterior ring at vertex
    test::apply(from_wkt<OG>("POLYGON((0 0,10 0,10 10,0 10),(0 0,1 4,4 1))"),
                true);
    // "hole" is completely outside the exterior ring
    test::apply(from_wkt<OG>("POLYGON((0 0,10 0,10 10,0 10),(20 20,20 21,21 21,21 20))"),
                false);

    // example from Norvald Ryeng
    test::apply(from_wkt<OG>("POLYGON((58 31,56.57 30,62 33),(35 9,28 14,31 16),(23 11,29 5,26 4))"),
                false);
    // and with points reversed
    test::apply(from_wkt<OG>("POLYGON((58 31,62 33,56.57 30),(35 9,31 16,28 14),(23 11,26 4,29 5))"),
                false);

    // "hole" is completely inside another "hole"
    test::apply(from_wkt<OG>("POLYGON((0 0,10 0,10 10,0 10),(1 1,1 9,9 9,9 1),(2 2,2 8,8 8,8 2))"),
                false);
    test::apply(from_wkt<OG>("POLYGON((0 0,10 0,10 10,0 10),(1 1,1 9,9 9,9 1),(2 2,8 2,8 8,2 8))"),
               false);

    // "hole" is inside another "hole" (touching)
    test::apply(from_wkt<OG>("POLYGON((0 0,10 0,10 10,0 10),(1 1,1 9,9 9,9 1),(2 2,2 8,8 8,9 6,8 2))"),
                false);
    test::apply(from_wkt<OG>("POLYGON((0 0,10 0,10 10,0 10),(1 1,1 9,9 9,9 1),(2 2,8 2,9 6,8 8,2 8))"),
                false);
    test::apply(from_wkt<OG>("POLYGON((0 0,10 0,10 10,0 10),(1 1,9 1,9 9,1 9),(2 2,2 8,8 8,9 6,8 2))"),
                false);
    test::apply(from_wkt<OG>("POLYGON((0 0,10 0,10 10,0 10),(1 1,9 1,9 9,1 9),(2 2,8 2,9 6,8 8,2 8))"),
                false);
    // hole touches exterior ring at two points
    test::apply(from_wkt<OG>("POLYGON((0 0,10 0,10 10,0 10),(5 0,0 5,5 5))"),
                false);

    // cases with more holes
    // two holes, touching the exterior at the same point
    test::apply(from_wkt<OG>("POLYGON((0 0,10 0,10 10,0 10),(0 0,1 9,2 9),(0 0,9 2,9 1))"),
                true);
    test::apply(from_wkt<OG>("POLYGON((0 0,0 0,10 0,10 10,0 10,0 0),(0 0,0 0,1 9,2 9),(0 0,0 0,9 2,9 1))"),
                allow_duplicates);
    test::apply(from_wkt<OG>("POLYGON((0 10,0 0,0 0,0 0,10 0,10 10),(2 9,0 0,0 0,1 9),(9 1,0 0,0 0,9 2))"),
                allow_duplicates);
    // two holes, one inside the other
    test::apply(from_wkt<OG>("POLYGON((0 0,10 0,10 10,0 10),(0 0,1 9,9 1),(0 0,4 5,5 4))"),
                false);
    // 1st hole touches has common segment with 2nd hole
    test::apply(from_wkt<OG>("POLYGON((0 0,10 0,10 10,0 10),(1 1,1 5,5 5,5 1),(5 4,5 8,8 8,8 4))"),
                false);
    // 1st hole touches 2nd hole at two points
    test::apply(from_wkt<OG>("POLYGON((0 0,10 0,10 10,0 10),(1 1,1 9,9 9,9 8,2 8,2 1),(2 5,5 8,5 5))"),
                false);
    // four holes, each two touching at different points
    test::apply(from_wkt<OG>("POLYGON((0 0,10 0,10 10,0 10),(0 10,2 1,1 1),(0 10,4 1,3 1),(10 10,9 1,8 1),(10 10,7 1,6 1))"),
                true);
    // five holes, with two pairs touching each at some point, and
    // fifth hole creating a disconnected component for the interior
    test::apply(from_wkt<OG>("POLYGON((0 0,10 0,10 10,0 10),(0 10,2 1,1 1),(0 10,4 1,3 1),(10 10,9 1,8 1),(10 10,7 1,6 1),(4 1,4 4,6 4,6 1))"),
                false);
    // five holes, with two pairs touching each at some point, and
    // fifth hole creating three disconnected components for the interior
    test::apply(from_wkt<OG>("POLYGON((0 0,10 0,10 10,0 10),(0 10,2 1,1 1),(0 10,4 1,3 1),(10 10,9 1,8 1),(10 10,7 1,6 1),(4 1,4 4,6 4,6 1,5 0))"),
                false);
    

    typedef open_cw_polygon_type OG1;

    typedef test_valid<OG1> test1;

    test1::apply(from_wkt<OG1>("POLYGON((0 0,0 10,10 10,10 0),(1 1,2 1,1 10))"),
                 true);
    test1::apply(from_wkt<OG1>("POLYGON((0 0,0 10,10 10,10 0),(0 10,1 1,2 1),(0 10,3 1,4 1),(10 10,8 1,9 1),(10 10,6 1,7 1))"),
                 true);
    test1::apply(from_wkt<OG1>("POLYGON((0 0,0 10,10 10,10 0),(0 10,1 1,2 1),(0 10,3 1,4 1),(10 10,8 1,9 1),(10 10,6 1,7 1),(4 1,5 0,6 1,6 4,4 4))"),
                 false);
}

BOOST_AUTO_TEST_CASE( test_is_valid_multipolygon )
{
#ifdef GEOMETRY_TEST_DEBUG
    std::cout << std::endl << std::endl;
    std::cout << "************************************" << std::endl;
    std::cout << " is_valid: MULTIPOLYGON (open) " << std::endl;
    std::cout << "************************************" << std::endl;
#endif

    typedef bg::model::multi_polygon<open_ccw_polygon_type> OG;
    //    typedef closed_ccw_polygon_type CG;

    typedef test_valid<OG> test;

    static const bool allow_duplicates = true;

    test::apply(from_wkt<OG>("MULTIPOLYGON((()))"), false);
    test::apply(from_wkt<OG>("MULTIPOLYGON(((0 0)),(()))"), false);
    test::apply(from_wkt<OG>("MULTIPOLYGON(((0 0,1 0)))"), false);
    test::apply(from_wkt<OG>("MULTIPOLYGON(((0 0,1 0,1 1,0 1)),((2 2,3 2,3 3,2 3)))"),
                true);
    test::apply(from_wkt<OG>("MULTIPOLYGON(((0 0,1 0,1 0,1 1,0 1)),((2 2,3 2,3 3,3 3,2 3)))"),
                allow_duplicates);
}