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// Boost.Geometry (aka GGL, Generic Geometry Library)
// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
// Copyright (c) 2013 Adam Wulkiewicz, Lodz, Poland.
// This file was modified by Oracle on 2013.
// Modifications copyright (c) 2013, Oracle and/or its affiliates.
// 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 "test_intersects.hpp"
#include <boost/geometry/geometries/geometries.hpp>
#include <boost/geometry/geometries/point_xy.hpp>
#include <boost/geometry/util/rational.hpp>
template <typename P>
void test_intersects_polygon_polygon()
{
typedef bg::model::polygon<P, false, false> poly_ccw_o;
test_geometry<poly_ccw_o, poly_ccw_o>("POLYGON((1 1, 3 3, 2 5))", "POLYGON((0 0, 9 0, 9 9, 0 9),(5 5,5 8,8 8,8 5))", true);
test_geometry<poly_ccw_o, poly_ccw_o>("POLYGON((6 6, 7 6, 7 7, 6 7))", "POLYGON((0 0, 9 0, 9 9, 0 9),(5 5,5 8,8 8,8 5))", false);
test_geometry<poly_ccw_o, poly_ccw_o>("POLYGON((7 7, 9 7, 9 9, 7 9))", "POLYGON((0 0, 9 0, 9 9, 0 9),(5 5,5 8,8 8,8 5))", true);
}
template <typename P>
void test_intersects_linestring_segment()
{
typedef bg::model::linestring<P> ls;
typedef bg::model::segment<P> seg;
test_geometry<ls, seg>("LINESTRING(1 1, 3 3, 2 5)", "SEGMENT(2 0, 2 6)", true);
test_geometry<ls, seg>("LINESTRING(1 1, 3 3)", "SEGMENT(1 0, 1 1)", true);
test_geometry<ls, seg>("LINESTRING(1 1, 3 3)", "SEGMENT(2 0, 2 2)", true);
test_geometry<ls, seg>("LINESTRING(1 1, 3 3)", "SEGMENT(3 0, 4 1)", false);
}
template <typename P>
void test_intersects_linestring_linestring()
{
typedef bg::model::linestring<P> ls;
test_geometry<ls, ls>("LINESTRING(0 0,2 0,3 0)", "LINESTRING(0 0,1 1,2 2)", true);
test_geometry<ls, ls>("LINESTRING(0 0,2 0,3 0)", "LINESTRING(2 2,1 1,0 0)", true);
test_geometry<ls, ls>("LINESTRING(3 0,2 0,0 0)", "LINESTRING(0 0,1 1,2 2)", true);
test_geometry<ls, ls>("LINESTRING(3 0,2 0,0 0)", "LINESTRING(2 2,1 1,0 0)", true);
test_geometry<ls, ls>("LINESTRING(0 0,2 0,3 0)", "LINESTRING(1 0,4 0,5 0)", true);
test_geometry<ls, ls>("LINESTRING(1 0,2 0)", "LINESTRING(1 0,0 0)", true);
}
template <typename P>
void test_intersects_linestring_polygon()
{
typedef bg::model::linestring<P> ls;
typedef bg::model::multi_linestring<ls> mls;
typedef bg::model::polygon<P> poly_cw_c;
typedef bg::model::polygon<P, false> poly_ccw_c;
typedef bg::model::polygon<P, false, false> poly_ccw_o;
typedef bg::model::multi_polygon<poly_ccw_c> mpoly_ccw_c;
test_geometry<ls, poly_ccw_c>("LINESTRING(1 1,2 2)", "POLYGON((0 0,10 0,10 10,0 10,0 0))", true);
test_geometry<ls, poly_ccw_c>("LINESTRING(1 0,2 2)", "POLYGON((0 0,10 0,10 10,0 10,0 0))", true);
test_geometry<ls, poly_ccw_c>("LINESTRING(11 0,12 12)", "POLYGON((0 0,10 0,10 10,0 10,0 0))", false);
test_geometry<ls, poly_ccw_o>("LINESTRING(1 1, 3 3, 2 5)", "POLYGON((0 0, 9 0, 9 9, 0 9),(5 5,5 8,8 8,8 5))", true);
test_geometry<ls, poly_ccw_o>("LINESTRING(6 6, 7 6, 7 7, 6 7)", "POLYGON((0 0, 9 0, 9 9, 0 9),(5 5,5 8,8 8,8 5))", false);
test_geometry<ls, poly_ccw_o>("LINESTRING(7 7, 9 7, 9 9, 7 9)", "POLYGON((0 0, 9 0, 9 9, 0 9),(5 5,5 8,8 8,8 5))", true);
test_geometry<poly_cw_c, ls>("POLYGON((0 0, 0 10, 10 10, 10 0, 0 0))", "LINESTRING(-2 -2, 12 7)", true);
test_geometry<poly_cw_c, ls>("POLYGON((0 0, 0 10, 10 10, 10 0, 0 0))", "LINESTRING(5 5, 15 4)", true);
test_geometry<poly_cw_c, ls>("POLYGON((0 0, 0 10, 10 10, 10 0, 0 0))", "LINESTRING(7 6, 15 4)", true);
test_geometry<poly_cw_c, ls>("POLYGON((0 0, 0 10, 10 10, 10 0, 0 0))", "LINESTRING(6 2, 12 1)", true);
// MULTI
test_geometry<ls, mpoly_ccw_c>("LINESTRING(1 1,2 2)", "MULTIPOLYGON(((0 0,10 0,10 10,0 10,0 0)))", true);
test_geometry<mls, mpoly_ccw_c>("MULTILINESTRING((1 1,2 2))", "MULTIPOLYGON(((0 0,10 0,10 10,0 10,0 0)))", true);
}
template <typename P>
void test_intersects_linestring_ring()
{
typedef bg::model::linestring<P> ls;
typedef bg::model::multi_linestring<ls> mls;
typedef bg::model::ring<P, false> ring_ccw_c;
test_geometry<ls, ring_ccw_c>("LINESTRING(1 1,2 2)", "POLYGON((0 0,10 0,10 10,0 10,0 0))", true);
test_geometry<ls, ring_ccw_c>("LINESTRING(1 0,2 2)", "POLYGON((0 0,10 0,10 10,0 10,0 0))", true);
test_geometry<ls, ring_ccw_c>("LINESTRING(11 0,12 12)", "POLYGON((0 0,10 0,10 10,0 10,0 0))", false);
// MULTI
test_geometry<mls, ring_ccw_c>("MULTILINESTRING((1 1,2 2))", "POLYGON((0 0,10 0,10 10,0 10,0 0))", true);
}
template <typename P>
void test_intersects_ring_polygon()
{
typedef bg::model::ring<P, false, false> ring_ccw_o;
typedef bg::model::polygon<P, false, false> poly_ccw_o;
test_geometry<ring_ccw_o, poly_ccw_o>("POLYGON((1 1, 3 3, 2 5))", "POLYGON((0 0, 9 0, 9 9, 0 9),(5 5,5 8,8 8,8 5))", true);
test_geometry<ring_ccw_o, poly_ccw_o>("POLYGON((6 6, 7 6, 7 7, 6 7))", "POLYGON((0 0, 9 0, 9 9, 0 9),(5 5,5 8,8 8,8 5))", false);
test_geometry<ring_ccw_o, poly_ccw_o>("POLYGON((7 7, 9 7, 9 9, 7 9))", "POLYGON((0 0, 9 0, 9 9, 0 9),(5 5,5 8,8 8,8 5))", true);
test_geometry<ring_ccw_o, poly_ccw_o>("POLYGON((6 6,7 6,7 7,6 7))", "POLYGON((0 0, 9 0, 9 9, 0 9),(5 5,5 8,8 8,8 5))", false);
}
template <typename P>
void test_intersects_point_linestring()
{
typedef bg::model::linestring<P> ls;
typedef bg::model::multi_linestring<ls> mls;
test_geometry<P, ls>("POINT(0 0)", "LINESTRING(0 0,2 2,4 0)", true);
test_geometry<P, ls>("POINT(1 1)", "LINESTRING(0 0,2 2,4 0)", true);
test_geometry<P, ls>("POINT(1 0)", "LINESTRING(0 0,2 2,4 0)", false);
// MULTI
test_geometry<P, mls>("POINT(0 0)", "MULTILINESTRING((0 0,2 2,4 0))", true);
}
template <typename P>
void test_intersects_point_segment()
{
typedef bg::model::segment<P> seg;
test_geometry<P, seg>("POINT(0 0)", "LINESTRING(0 0,2 2)", true);
test_geometry<P, seg>("POINT(1 1)", "LINESTRING(0 0,2 2)", true);
test_geometry<P, seg>("POINT(1 0)", "LINESTRING(0 0,2 2)", false);
}
template <typename P>
void test_multi_linestring_polygon()
{
typedef bg::model::linestring<P> ls;
typedef bg::model::multi_linestring<ls> mls;
typedef bg::model::polygon<P> poly;
test_geometry<mls, poly>("MULTILINESTRING((11 11, 20 20),(5 7, 4 1))",
"POLYGON((0 0,0 10,10 10,10 0,0 0),(2 2,4 2,4 4,2 4,2 2))",
true);
test_geometry<mls, poly>("MULTILINESTRING((10 0, 18 12),(2 2,2 1))",
"POLYGON((5 0,0 -5,-5 0,0 5,5 0))",
true);
}
template <typename P>
void test_multi_polygon_polygon()
{
typedef bg::model::polygon<P> poly;
typedef bg::model::multi_polygon<poly> mpoly;
test_geometry<mpoly, poly>("MULTIPOLYGON(((11 11,11 20,20 20,20 11,11 11)),((5 5,5 6,6 6,6 5,5 5)))",
"POLYGON((0 0,0 10,10 10,10 0,0 0),(2 2,4 2,4 4,2 4,2 2))",
true);
}
template <typename P>
void test_all()
{
typedef bg::model::polygon<P> polygon;
typedef bg::model::ring<P> ring;
// intersect <=> ! disjoint (in most cases)
// so most tests are done in disjoint test.
// We only test compilation of a few cases.
test_geometry<P, bg::model::box<P> >("POINT(1 1)", "BOX(0 0,2 2)", true);
test_geometry<polygon, bg::model::box<P> >(
"POLYGON((1992 3240,1992 1440,3792 1800,3792 3240,1992 3240))",
"BOX(1941 2066, 2055 2166)", true);
test_geometry<ring, bg::model::box<P> >(
"POLYGON((1992 3240,1992 1440,3792 1800,3792 3240,1992 3240))",
"BOX(1941 2066, 2055 2166)", true);
test_geometry<polygon, bg::model::box<P> >(
"POLYGON((1941 2066,2055 2066,2055 2166,1941 2166))",
"BOX(1941 2066, 2055 2166)", true);
test_intersects_point_segment<P>();
test_intersects_point_linestring<P>();
test_intersects_polygon_polygon<P>();
test_intersects_linestring_polygon<P>();
test_intersects_linestring_ring<P>();
test_intersects_linestring_segment<P>();
test_intersects_linestring_linestring<P>();
test_intersects_ring_polygon<P>();
test_multi_linestring_polygon<P>();
test_multi_polygon_polygon<P>();
// self-intersecting is not tested in disjoint, so that is done here.
// Just a normal polygon
test_self_intersects<polygon>("POLYGON((0 0,0 4,1.5 2.5,2.5 1.5,4 0,0 0))", false);
// Self intersecting
test_self_intersects<polygon>("POLYGON((1 2,1 1,2 1,2 2.25,3 2.25,3 0,0 0,0 3,3 3,2.75 2,1 2))", true);
// Self intersecting in last segment
test_self_intersects<polygon>("POLYGON((0 2,2 4,2 0,4 2,0 2))", true);
// Self tangent
test_self_intersects<polygon>("POLYGON((0 0,0 4,4 4,4 0,2 4,0 0))", true);
// Self tangent in corner
test_self_intersects<polygon>("POLYGON((0 0,0 4,4 4,4 0,0 4,2 0,0 0))", true);
// With spike
test_self_intersects<polygon>("POLYGON((0 0,0 4,4 4,4 2,6 2,4 2,4 0,0 0))", true);
// Non intersection, but with duplicate
test_self_intersects<polygon>("POLYGON((0 0,0 4,4 0,4 0,0 0))", false);
// With many duplicates
test_self_intersects<polygon>(
"POLYGON((0 0,0 1,0 1,0 1,0 2,0 2,0 3,0 3,0 3,0 3,0 4,2 4,2 4,4 4,4 0,4 0,3 0,3 0,3 0,3 0,3 0,0 0))",
false);
// Hole: interior tangent to exterior
test_self_intersects<polygon>("POLYGON((0 0,0 4,4 4,4 0,0 0),(1 2,2 4,3 2,1 2))", true);
// Hole: interior intersecting exterior
test_self_intersects<polygon>("POLYGON((0 0,0 4,4 4,4 0,0 0),(1 1,1 3,5 4,1 1))", true);
// Hole: two intersecting holes
test_self_intersects<polygon>(
"POLYGON((0 0,0 4,4 4,4 0,0 0),(1 1,1 3,3 3,3 1,1 1),(2 2,2 3.5,3.5 3.5,3.5 2,2 2))", true);
// Mail Akira T on [Boost-users] at 27-7-2011 3:17
test_self_intersects<bg::model::linestring<P> >(
"LINESTRING(0 0,0 4,4 4,2 2,2 5)", true);
test_self_intersects<bg::model::linestring<P> >(
"LINESTRING(0 4,4 4,2 2,2 5)", true);
// Test self-intersections at last segment in close/open rings:
test_self_intersects<bg::model::ring<P> >(
"POLYGON((0 0,3 3,4 1,0 0))", false);
test_self_intersects<bg::model::ring<P, true, false> >(
"POLYGON((0 0,3 3,4 1))", false);
test_self_intersects<bg::model::ring<P> >(
"POLYGON((0 0,3 3,4 1,0 1,0 0))", true);
test_self_intersects<bg::model::ring<P, true, false> >(
"POLYGON((0 0,3 3,4 1,0 1))", true);
// Duplicates in first or last
test_self_intersects<bg::model::ring<P> >(
"POLYGON((0 0,3 3,4 1,0 1,0 1,0 0))", true);
test_self_intersects<bg::model::ring<P> >(
"POLYGON((0 0,3 3,4 1,0 1,0 0,0 0))", true);
test_self_intersects<bg::model::ring<P, true, false> >(
"POLYGON((0 0,3 3,4 1,0 1,0 1))", true);
test_self_intersects<bg::model::ring<P> >(
"POLYGON((0 0,0 0,3 3,4 1,0 1,0 1,0 0))", true);
test_self_intersects<bg::model::ring<P, true, false> >(
"POLYGON((0 0,0 0,3 3,4 1,0 1,0 1))", true);
test_self_intersects<bg::model::ring<P> >(
"POLYGON((0 0,3 3,3 3,4 1,0 1,0 1,0 0))", true);
test_self_intersects<bg::model::ring<P, true, false> >(
"POLYGON((0 0,3 3,3 3,4 1,0 1,0 1))", true);
test_self_intersects<bg::model::ring<P> >(
"POLYGON((0 0,3 3,4 1,0 0,0 0))", false);
test_self_intersects<bg::model::ring<P> >(
"POLYGON((0 0,3 3,4 1,4 1,0 0))", false);
test_self_intersects<bg::model::ring<P, true, false> >(
"POLYGON((0 0,3 3,4 1,4 1))", false);
test_self_intersects<bg::model::ring<P> >(
"POLYGON((0 0,0 0,3 3,4 1,0 0))", false);
test_self_intersects<bg::model::ring<P, true, false> >(
"POLYGON((0 0,0 0,3 3,4 1))", false);
test_self_intersects<bg::model::ring<P> >(
"POLYGON((0 0,3 3,3 3,4 1,0 0))", false);
test_self_intersects<bg::model::ring<P, true, false> >(
"POLYGON((0 0,3 3,3 3,4 1))", false);
test_geometry<P, bg::model::box<P> >(
"POINT(0 0)",
"BOX(0 0,4 4)",
true);
test_geometry<P, bg::model::ring<P> >(
"POINT(0 0)",
"POLYGON((0 0,3 3,3 3,4 1))",
true);
test_geometry<P, bg::model::polygon<P> >(
"POINT(0 0)",
"POLYGON((0 0,3 3,3 3,4 1))",
true);
test_geometry<bg::model::ring<P>, P>(
"POLYGON((0 0,3 3,3 3,4 1))",
"POINT(0 0)",
true);
test_geometry<bg::model::polygon<P>, P>(
"POLYGON((0 0,3 3,3 3,4 1))",
"POINT(0 0)",
true);
}
// Those tests won't pass for rational<> because numeric_limits<> isn't specialized for this type
template <typename P>
void test_additional()
{
test_geometry<bg::model::segment<P>, bg::model::box<P> >(
"SEGMENT(0 0,3 3)",
"BOX(1 2,3 5)",
true);
test_geometry<bg::model::segment<P>, bg::model::box<P> >(
"SEGMENT(1 1,2 3)",
"BOX(0 0,4 4)",
true);
test_geometry<bg::model::segment<P>, bg::model::box<P> >(
"SEGMENT(1 1,1 1)",
"BOX(1 0,3 5)",
true);
test_geometry<bg::model::segment<P>, bg::model::box<P> >(
"SEGMENT(0 1,0 1)",
"BOX(1 0,3 5)",
false);
test_geometry<bg::model::segment<P>, bg::model::box<P> >(
"SEGMENT(2 1,2 1)",
"BOX(1 0,3 5)",
true);
test_geometry<bg::model::linestring<P>, bg::model::box<P> >(
"LINESTRING(0 0,1 0,10 10)",
"BOX(1 2,3 5)",
true);
test_geometry<bg::model::linestring<P>, bg::model::box<P> >(
"LINESTRING(1 2)",
"BOX(0 0,3 5)",
true);
}
int test_main( int , char* [] )
{
test_all<bg::model::d2::point_xy<double> >();
test_additional<bg::model::d2::point_xy<double> >();
#if ! defined(BOOST_GEOMETRY_RESCALE_TO_ROBUST)
test_all<bg::model::d2::point_xy<boost::rational<int> > >();
#endif
#if defined(HAVE_TTMATH)
test_all<bg::model::d2::point_xy<ttmath_big> >();
#endif
return 0;
}
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