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geometry/test/algorithms/is_valid.cpp

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// 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/core/ignore_unused.hpp>
#include <boost/range.hpp>
#include <boost/variant/variant.hpp>
#include <boost/test/included/unit_test.hpp>
#include <boost/geometry/core/closure.hpp>
#include <boost/geometry/core/exterior_ring.hpp>
#include <boost/geometry/core/interior_rings.hpp>
#include <boost/geometry/core/point_order.hpp>
#include <boost/geometry/core/ring_type.hpp>
#include <boost/geometry/core/tag.hpp>
#include <boost/geometry/core/tags.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/convert.hpp>
#include <boost/geometry/algorithms/num_points.hpp>
#include <boost/geometry/algorithms/is_valid.hpp>
#include <boost/geometry/algorithms/detail/check_iterator_range.hpp>
#include "from_wkt.hpp"
#ifdef BOOST_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;
// multi-geometries
typedef bg::model::multi_point<point_type> multi_point_type;
//----------------------------------------------------------------------------
// returns true if a geometry can be converted to closed
template
<
typename Geometry,
typename Tag = typename bg::tag<Geometry>::type,
bg::closure_selector Closure = bg::closure<Geometry>::value
>
struct is_convertible_to_closed
{
static inline bool apply(Geometry const&)
{
return false;
}
};
template <typename Ring>
struct is_convertible_to_closed<Ring, bg::ring_tag, bg::open>
{
static inline bool apply(Ring const& ring)
{
return boost::size(ring) > 0;
}
};
template <typename Polygon>
struct is_convertible_to_closed<Polygon, bg::polygon_tag, bg::open>
{
typedef typename bg::ring_type<Polygon>::type ring_type;
template <typename InteriorRings>
static inline
bool apply_to_interior_rings(InteriorRings const& interior_rings)
{
return bg::detail::check_iterator_range
<
is_convertible_to_closed<ring_type>,
true // allow empty iterator range
>::apply(boost::begin(interior_rings),
boost::end(interior_rings));
}
static inline bool apply(Polygon const& polygon)
{
return boost::size(bg::exterior_ring(polygon)) > 0
&& apply_to_interior_rings(bg::interior_rings(polygon));
}
};
template <typename MultiPolygon>
struct is_convertible_to_closed<MultiPolygon, bg::multi_polygon_tag, bg::open>
{
typedef typename boost::range_value<MultiPolygon>::type polygon;
static inline bool apply(MultiPolygon const& multi_polygon)
{
return bg::detail::check_iterator_range
<
is_convertible_to_closed<polygon>,
false // do not allow empty multi-polygon
>::apply(boost::begin(multi_polygon),
boost::end(multi_polygon));
}
};
//----------------------------------------------------------------------------
// returns true if a geometry can be converted to cw
template
<
typename Geometry,
typename Tag = typename bg::tag<Geometry>::type,
bg::order_selector Order = bg::point_order<Geometry>::value
>
struct is_convertible_to_cw
{
static inline bool apply(Geometry const&)
{
return bg::point_order<Geometry>::value == bg::counterclockwise;
}
};
//----------------------------------------------------------------------------
struct default_validity_tester
{
template <typename Geometry>
static inline bool apply(Geometry const& geometry,
bool expected_result)
{
bool valid = bg::is_valid(geometry);
BOOST_CHECK_MESSAGE( valid == expected_result,
"Expected: " << expected_result
<< " detected: " << valid
<< " wkt: " << bg::wkt(geometry) );
return valid;
}
};
template <bool AllowSpikes>
struct validity_tester_linear
{
template <typename Geometry>
static inline bool apply(Geometry const& geometry,
bool expected_result)
{
bool valid = bg::dispatch::is_valid
<
Geometry,
typename bg::tag<Geometry>::type,
AllowSpikes
>::apply(geometry);
BOOST_CHECK_MESSAGE( valid == expected_result,
"Expected: " << expected_result
<< " detected: " << valid
<< " wkt: " << bg::wkt(geometry) );
return valid;
}
};
template <bool AllowDuplicates>
struct validity_tester_areal
{
template <typename Geometry>
static inline bool apply(Geometry const& geometry,
bool expected_result)
{
bool const irrelevant = true;
bool valid = bg::dispatch::is_valid
<
Geometry,
typename bg::tag<Geometry>::type,
irrelevant,
AllowDuplicates
>::apply(geometry);
BOOST_CHECK_MESSAGE( valid == expected_result,
"Expected: " << expected_result
<< " detected: " << valid
<< " wkt: " << bg::wkt(geometry) );
return valid;
}
};
//----------------------------------------------------------------------------
template
<
typename ValidityTester,
typename Geometry,
typename ClosedGeometry = Geometry,
typename CWGeometry = Geometry,
typename CWClosedGeometry = Geometry,
typename Tag = typename bg::tag<Geometry>::type
>
struct test_valid
{
template <typename G>
static inline void base_test(G const& g, bool expected_result)
{
#ifdef BOOST_GEOMETRY_TEST_DEBUG
std::cout << "=======" << std::endl;
#endif
bool valid = ValidityTester::apply(g, expected_result);
boost::ignore_unused(valid);
#ifdef BOOST_GEOMETRY_TEST_DEBUG
std::cout << "Geometry: ";
pretty_print_geometry<G>::apply(std::cout, g);
std::cout << std::endl;
std::cout << "wkt: " << bg::wkt(g) << 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::noboolalpha;
#endif
}
static inline void apply(Geometry const& geometry, bool expected_result)
{
base_test(geometry, expected_result);
if ( is_convertible_to_closed<Geometry>::apply(geometry) )
{
#ifdef BOOST_GEOMETRY_TEST_DEBUG
std::cout << "...checking closed geometry..."
<< std::endl;
#endif
ClosedGeometry closed_geometry;
bg::convert(geometry, closed_geometry);
base_test(closed_geometry, expected_result);
}
if ( is_convertible_to_cw<Geometry>::apply(geometry) )
{
#ifdef BOOST_GEOMETRY_TEST_DEBUG
std::cout << "...checking cw open geometry..."
<< std::endl;
#endif
CWGeometry cw_geometry;
bg::convert(geometry, cw_geometry);
base_test(cw_geometry, expected_result);
if ( is_convertible_to_closed<CWGeometry>::apply(cw_geometry) )
{
#ifdef BOOST_GEOMETRY_TEST_DEBUG
std::cout << "...checking cw closed geometry..."
<< std::endl;
#endif
CWClosedGeometry cw_closed_geometry;
bg::convert(cw_geometry, cw_closed_geometry);
base_test(cw_closed_geometry, expected_result);
}
}
#ifdef BOOST_GEOMETRY_TEST_DEBUG
std::cout << std::endl << std::endl << std::endl;
#endif
}
};
//----------------------------------------------------------------------------
template <typename VariantGeometry>
struct test_valid_variant
{
static inline void apply(VariantGeometry const& vg, bool expected_result)
{
test_valid
<
default_validity_tester, VariantGeometry
>::base_test(vg, expected_result);
}
};
//----------------------------------------------------------------------------
BOOST_AUTO_TEST_CASE( test_is_valid_point )
{
#ifdef BOOST_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 default_validity_tester tester;
typedef test_valid<tester, G> test;
test::apply(from_wkt<G>("POINT(0 0)"), true);
}
BOOST_AUTO_TEST_CASE( test_is_valid_multipoint )
{
#ifdef BOOST_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 default_validity_tester tester;
typedef test_valid<tester, 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 BOOST_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 default_validity_tester tester;
typedef test_valid<tester, 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 BOOST_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 default_validity_tester tester;
typedef test_valid<tester, 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);
}
template <typename G, bool AllowSpikes>
void test_linestrings()
{
#ifdef BOOST_GEOMETRY_TEST_DEBUG
std::cout << "SPIKES ALLOWED? "
<< std::boolalpha
<< AllowSpikes
<< std::noboolalpha
<< std::endl;
#endif
typedef validity_tester_linear<AllowSpikes> tester;
typedef test_valid<tester, G> test;
// 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);
// linestrings with spikes
test::apply(from_wkt<G>("LINESTRING(0 0,1 2,0 0)"), AllowSpikes);
test::apply(from_wkt<G>("LINESTRING(0 0,1 2,1 2,0 0)"), AllowSpikes);
test::apply(from_wkt<G>("LINESTRING(0 0,0 0,1 2,1 2,0 0)"),
AllowSpikes);
test::apply(from_wkt<G>("LINESTRING(0 0,0 0,0 0,1 2,1 2,0 0,0 0)"),
AllowSpikes);
test::apply(from_wkt<G>("LINESTRING(0 0,10 0,5 0)"), AllowSpikes);
test::apply(from_wkt<G>("LINESTRING(0 0,10 0,10 10,5 0,0 0)"),
AllowSpikes);
test::apply(from_wkt<G>("LINESTRING(0 0,10 0,10 10,5 0,4 0,6 0)"),
AllowSpikes);
test::apply(from_wkt<G>("LINESTRING(0 0,1 0,1 1,5 5,4 4)"),
AllowSpikes);
test::apply(from_wkt<G>("LINESTRING(0 0,1 0,1 1,5 5,4 4,6 6)"),
AllowSpikes);
test::apply(from_wkt<G>("LINESTRING(0 0,1 0,1 1,5 5,4 4,4 0)"),
AllowSpikes);
test::apply(from_wkt<G>("LINESTRING(0 0,0 0,1 0,1 0,1 0,0 0,0 0,2 0)"),
AllowSpikes);
test::apply(from_wkt<G>("LINESTRING(0 0,1 0,0 0,2 0,0 0,3 0,0 0,4 0)"),
AllowSpikes);
test::apply(from_wkt<G>("LINESTRING(0 0,1 0,0 0,2 0,0 0,3 0,0 0,4 0,0 0)"),
AllowSpikes);
// other examples
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);
test::apply(from_wkt<G>("LINESTRING(0 0,1 0,1 1,-1 1,-1 0,0.5 0)"),
true);
}
BOOST_AUTO_TEST_CASE( test_is_valid_linestring )
{
#ifdef BOOST_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
bool const allow_spikes = true;
bool const do_not_allow_spikes = !allow_spikes;
test_linestrings<linestring_type, allow_spikes>();
test_linestrings<linestring_type, do_not_allow_spikes>();
}
template <typename G, bool AllowSpikes>
void test_multilinestrings()
{
#ifdef BOOST_GEOMETRY_TEST_DEBUG
std::cout << "SPIKES ALLOWED? "
<< std::boolalpha
<< AllowSpikes
<< std::noboolalpha
<< std::endl;
#endif
typedef validity_tester_linear<AllowSpikes> tester;
typedef test_valid<tester, G> test;
// 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))"),
AllowSpikes);
test::apply(from_wkt<G>("MULTILINESTRING((0 0,1 0,0 0),(1 0,2 0))"),
AllowSpikes);
// 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);
}
BOOST_AUTO_TEST_CASE( test_is_valid_multilinestring )
{
#ifdef BOOST_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
bool const allow_spikes = true;
bool const do_not_allow_spikes = !allow_spikes;
test_multilinestrings<multi_linestring_type, allow_spikes>();
test_multilinestrings<multi_linestring_type, do_not_allow_spikes>();
}
template <typename Point, bool AllowDuplicates>
void test_open_rings()
{
#ifdef BOOST_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;
std::cout << "DUPLICATES ALLOWED? "
<< std::boolalpha
<< AllowDuplicates
<< std::noboolalpha
<< 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 bg::model::ring<Point, true, false> CW_OG; // cw, open ring
typedef bg::model::ring<Point, true, true> CW_CG; // cw, closed ring
typedef validity_tester_areal<AllowDuplicates> tester;
typedef test_valid<tester, OG, CG, CW_OG, CW_CG> test;
// 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))"),
AllowDuplicates);
test::apply(from_wkt<OG>("POLYGON((0 0,1 0,1 0,1 1))"),
AllowDuplicates);
test::apply(from_wkt<OG>("POLYGON((0 0,1 0,1 0,1 1,0 0))"),
AllowDuplicates);
// 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((1 0,1 1,0 0))"), true);
test::apply(from_wkt<OG>("POLYGON((0 0,1 0,1 1,0 1))"), true);
test::apply(from_wkt<OG>("POLYGON((1 0,1 1,0 1,0 0))"), true);
}
template <typename Point, bool AllowDuplicates>
void test_closed_rings()
{
#ifdef BOOST_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;
std::cout << "DUPLICATES ALLOWED? "
<< std::boolalpha
<< AllowDuplicates
<< std::noboolalpha
<< std::endl;
#endif
typedef bg::model::ring<Point, false, true> CG; // ccw, closed ring
typedef bg::model::ring<Point, true, true> CW_CG; // cw, closed ring
typedef validity_tester_areal<AllowDuplicates> tester;
typedef test_valid<tester, CG, CG, CW_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);
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);
}
BOOST_AUTO_TEST_CASE( test_is_valid_ring )
{
bool const allow_duplicates = true;
bool const do_not_allow_duplicates = !allow_duplicates;
test_open_rings<point_type, allow_duplicates>();
test_open_rings<point_type, do_not_allow_duplicates>();
test_closed_rings<point_type, allow_duplicates>();
test_closed_rings<point_type, do_not_allow_duplicates>();
}
template <typename Point, bool AllowDuplicates>
void test_open_polygons()
{
#ifdef BOOST_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;
std::cout << "DUPLICATES ALLOWED? "
<< std::boolalpha
<< AllowDuplicates
<< std::noboolalpha
<< std::endl;
#endif
typedef bg::model::polygon<Point, false, false> OG; // ccw, open
typedef bg::model::polygon<Point, false, true> CG; // ccw, closed
typedef bg::model::polygon<Point, true, false> CW_OG; // cw, open
typedef bg::model::polygon<Point, true, true> CW_CG; // cw, closed
typedef validity_tester_areal<AllowDuplicates> tester;
typedef test_valid<tester, OG, CG, CW_OG, CW_CG> test;
// 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))"), AllowDuplicates);
test::apply(from_wkt<OG>("POLYGON((0 0,1 0,1 0,1 1))"), AllowDuplicates);
test::apply(from_wkt<OG>("POLYGON((0 0,1 0,1 0,1 1,0 0))"),
AllowDuplicates);
// 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))"),
AllowDuplicates);
test::apply(from_wkt<OG>("POLYGON((0 0,10 0,10 10,0 10),(1 1,2 2,2 2,2 1))"),
AllowDuplicates);
test::apply(from_wkt<OG>("POLYGON((0 0,10 0,10 10,0 10),(1 1,2 2,2 1,2 1,1 1))"),
AllowDuplicates);
// 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);
// two "holes" completely outside the exterior ring, that touch
// each other
test::apply(from_wkt<OG>("POLYGON((0 0,10 0,10 10,0 10),(20 0,25 10,21 0),(30 0,25 10,31 0))"),
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))"),
AllowDuplicates);
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))"),
AllowDuplicates);
// 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);
// two holes completely inside exterior ring but touching each
// other at a point
test::apply(from_wkt<OG>("POLYGON((0 0,10 0,10 10,0 10),(1 1,1 9,2 9),(1 1,9 2,9 1))"),
true);
// 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);
}
BOOST_AUTO_TEST_CASE( test_is_valid_polygon )
{
bool const allow_duplicates = true;
bool const do_not_allow_duplicates = !allow_duplicates;
test_open_polygons<point_type, allow_duplicates>();
test_open_polygons<point_type, do_not_allow_duplicates>();
}
template <typename Point, bool AllowDuplicates>
void test_open_multipolygons()
{
#ifdef BOOST_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;
std::cout << "DUPLICATES ALLOWED? "
<< std::boolalpha
<< AllowDuplicates
<< std::noboolalpha
<< std::endl;
#endif
// cw, ccw, open and closed polygons
typedef bg::model::polygon<point_type,false,false> ccw_open_polygon_type;
typedef bg::model::polygon<point_type,false,true> ccw_closed_polygon_type;
typedef bg::model::polygon<point_type,true,false> cw_open_polygon_type;
typedef bg::model::polygon<point_type,true,true> cw_closed_polygon_type;
typedef bg::model::multi_polygon<ccw_open_polygon_type> OG;
typedef bg::model::multi_polygon<ccw_closed_polygon_type> CG;
typedef bg::model::multi_polygon<cw_open_polygon_type> CW_OG;
typedef bg::model::multi_polygon<cw_closed_polygon_type> CW_CG;
typedef validity_tester_areal<AllowDuplicates> tester;
typedef test_valid<tester, OG, CG, CW_OG, CW_CG> test;
// not enough points
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);
// two disjoint polygons
test::apply(from_wkt<OG>("MULTIPOLYGON(((0 0,1 0,1 1,0 1)),((2 2,3 2,3 3,2 3)))"),
true);
// two disjoint polygons with multiple points
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)))"),
AllowDuplicates);
// two polygons touch at a point
test::apply(from_wkt<OG>("MULTIPOLYGON(((0 0,1 0,1 1,0 1)),((1 1,2 1,2 2,1 2)))"),
true);
// two polygons share a segment at a point
test::apply(from_wkt<OG>("MULTIPOLYGON(((0 0,1.5 0,1.5 1,0 1)),((1 1,2 1,2 2,1 2)))"),
false);
// one polygon inside another and boundaries touching
test::apply(from_wkt<OG>("MULTIPOLYGON(((0 0,10 0,10 10,0 10)),((0 0,9 1,9 2)))"),
false);
// one polygon inside another and boundaries not touching
test::apply(from_wkt<OG>("MULTIPOLYGON(((0 0,10 0,10 10,0 10)),((1 1,9 1,9 2)))"),
false);
// free space is disconnected
test::apply(from_wkt<OG>("MULTIPOLYGON(((0 0,1 0,1 1,0 1)),((1 1,2 1,2 2,1 2)),((0 1,0 2,-1 2,-1 -1)),((1 2,1 3,0 3,0 2)))"),
true);
}
BOOST_AUTO_TEST_CASE( test_is_valid_multipolygon )
{
bool const allow_duplicates = true;
bool const do_not_allow_duplicates = !allow_duplicates;
test_open_multipolygons<point_type, allow_duplicates>();
test_open_multipolygons<point_type, do_not_allow_duplicates>();
}
BOOST_AUTO_TEST_CASE( test_is_valid_variant )
{
#ifdef BOOST_GEOMETRY_TEST_DEBUG
std::cout << std::endl << std::endl;
std::cout << "************************************" << std::endl;
std::cout << " is_valid: variant support" << std::endl;
std::cout << "************************************" << std::endl;
#endif
typedef bg::model::polygon<point_type> polygon_type; // cw, closed
typedef boost::variant
<
linestring_type, multi_linestring_type, polygon_type
> variant_geometry;
typedef test_valid_variant<variant_geometry> test;
variant_geometry vg;
linestring_type valid_linestring =
from_wkt<linestring_type>("LINESTRING(0 0,1 0)");
multi_linestring_type invalid_multi_linestring =
from_wkt<multi_linestring_type>("MULTILINESTRING((0 0,1 0),(0 0))");
polygon_type valid_polygon =
from_wkt<polygon_type>("POLYGON((0 0,1 1,1 0,0 0))");
polygon_type invalid_polygon =
from_wkt<polygon_type>("POLYGON((0 0,1 1,1 0))");
vg = valid_linestring;
test::apply(vg, true);
vg = invalid_multi_linestring;
test::apply(vg, false);
vg = valid_polygon;
test::apply(vg, true);
vg = invalid_polygon;
test::apply(vg, false);
}
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