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geometry/test/algorithms/area/area.cpp

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// Boost.Geometry (aka GGL, Generic Geometry Library)
// Unit Test
// Copyright (c) 2007-2012 Barend Gehrels, Amsterdam, the Netherlands.
// Copyright (c) 2008-2012 Bruno Lalande, Paris, France.
// Copyright (c) 2009-2012 Mateusz Loskot, London, UK.
// This file was modified by Oracle on 2015, 2016, 2017.
// Modifications copyright (c) 2015-2017, Oracle and/or its affiliates.
// Contributed and/or modified by Vissarion Fysikopoulos, on behalf of Oracle
// Contributed and/or modified by Adam Wulkiewicz, on behalf of Oracle
// 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 <algorithms/area/test_area.hpp>
#include <boost/geometry/geometries/point_xy.hpp>
#include <boost/geometry/geometries/point.hpp>
#include <boost/geometry/geometries/box.hpp>
#include <boost/geometry/geometries/ring.hpp>
#include <boost/geometry/geometries/polygon.hpp>
#include <test_geometries/all_custom_ring.hpp>
#include <test_geometries/all_custom_polygon.hpp>
//#define BOOST_GEOMETRY_TEST_DEBUG
#include <boost/variant/variant.hpp>
template <typename Polygon>
void test_polygon()
{
// Rotated square, length=sqrt(2) -> area=2
test_geometry<Polygon>("POLYGON((1 1,2 2,3 1,2 0,1 1))", 2.0);
test_geometry<Polygon>("POLYGON((1 1,2 2,3 1,2 0,1 1))", 2.0);
test_geometry<Polygon>("POLYGON((0 0,0 7,4 2,2 0,0 0))", 16.0);
test_geometry<Polygon>("POLYGON((1 1,2 1,2 2,1 2,1 1))", -1.0);
test_geometry<Polygon>("POLYGON((0 0,0 7,4 2,2 0,0 0), (1 1,2 1,2 2,1 2,1 1))", 15.0);
}
template <typename P>
void test_all()
{
test_geometry<bg::model::box<P> >("POLYGON((0 0,2 2))", 4.0);
test_geometry<bg::model::box<P> >("POLYGON((2 2,0 0))", 4.0);
test_polygon<bg::model::polygon<P> >();
test_polygon<all_custom_polygon<P> >();
// clockwise rings (second is wrongly ordered)
test_geometry<bg::model::ring<P> >("POLYGON((0 0,0 7,4 2,2 0,0 0))", 16.0);
test_geometry<bg::model::ring<P> >("POLYGON((0 0,2 0,4 2,0 7,0 0))", -16.0);
test_geometry<all_custom_ring<P> >("POLYGON((0 0,0 7,4 2,2 0,0 0))", 16.0);
// ccw
test_geometry<bg::model::polygon<P, false> >
("POLYGON((0 0,0 7,4 2,2 0,0 0), (1 1,2 1,2 2,1 2,1 1))", -15.0);
test_geometry<bg::model::polygon<P, false> >
("POLYGON((1 0,0 1,-1 0,0 -1,1 0))", 2);
typedef typename bg::coordinate_type<P>::type coord_type;
if (BOOST_GEOMETRY_CONDITION((boost::is_same<coord_type, double>::value)))
{
test_geometry<bg::model::polygon<P, false, false> >
("POLYGON((100000001 100000000, 100000000 100000001, \
99999999 100000000, 100000000 99999999))", 2);
}
else if (BOOST_GEOMETRY_CONDITION((boost::is_same<coord_type, float>::value)))
{
test_geometry<bg::model::polygon<P, false, false> >
("POLYGON((100001 100000, 100000 100001, \
99999 100000, 100000 99999))", 2);
}
}
template <typename P>
void test_ccw()
{
typedef typename bg::coordinate_type<P>::type ct;
bg::model::polygon<P, false> ccw_polygon;
// counterclockwise rings (second is wrongly ordered)
std::string poly1 = "POLYGON((1 1,2 2,3 1,2 0,1 1))";
std::string poly2 = "POLYGON((1 1,2 0,3 1,2 2,1 1))";
std::string poly3 = "POLYGON((0 0,0 7,4 2,2 0,0 0))";
std::string poly4 = "POLYGON((0 0,2 0,4 2,0 7,0 0))";
bg::read_wkt(poly1, ccw_polygon);
ct area1 = bg::area(ccw_polygon);
bg::read_wkt(poly2, ccw_polygon);
ct area2 = bg::area(ccw_polygon);
bg::read_wkt(poly3, ccw_polygon);
ct area3 = bg::area(ccw_polygon);
bg::read_wkt(poly4, ccw_polygon);
ct area4 = bg::area(ccw_polygon);
BOOST_CHECK_CLOSE(area1, -1 * area2, 0.001);
BOOST_CHECK_CLOSE(area3, -1 * area4, 0.001);
}
template <typename P, typename CT>
void test_open(CT expected_area)
{
typedef bg::model::polygon<P, true, false> open_polygon;
test_geometry<open_polygon>("POLYGON((1 1,2 2,3 1,2 0))", expected_area);
// Note the triangular testcase used in CCW is not sensible for open/close
}
template <typename P, typename CT>
void test_open_ccw(CT expected_area)
{
typedef bg::model::polygon<P, false, false> open_polygon;
test_geometry<open_polygon>("POLYGON((1 1,2 0,3 1,2 2))", expected_area);
// Note the triangular testcase used in CCW is not sensible for open/close
}
template <typename P>
void test_poles_ccw()
{
typedef typename bg::coordinate_type<P>::type ct;
bg::model::polygon<P, false> polygon;
std::string poly1 = "POLYGON((45 45,45 95,95 45,45 45))";
std::string poly2 = "POLYGON((45 45,95 45,45 95,45 45))";
std::string poly3 = "POLYGON((45 -45,45 -95,95 -45,45 -45))";
std::string poly4 = "POLYGON((45 -45,95 -45,45 -95,45 -45))";
bg::read_wkt(poly1, polygon);
ct area1 = bg::area(polygon);
bg::read_wkt(poly2, polygon);
ct area2 = bg::area(polygon);
bg::read_wkt(poly3, polygon);
ct area3 = bg::area(polygon);
bg::read_wkt(poly4, polygon);
ct area4 = bg::area(polygon);
BOOST_CHECK_CLOSE(area1, -1 * area2, 0.001);
BOOST_CHECK_CLOSE(area3, -1 * area4, 0.001);
}
template <typename P>
void test_empty_input()
{
bg::model::polygon<P> poly_empty;
bg::model::ring<P> ring_empty;
test_empty_input(poly_empty);
test_empty_input(ring_empty);
}
void test_large_integers()
{
typedef bg::model::point<int, 2, bg::cs::cartesian> int_point_type;
typedef bg::model::point<double, 2, bg::cs::cartesian> double_point_type;
bg::model::polygon<int_point_type> int_poly;
bg::model::polygon<double_point_type> double_poly;
std::string const polygon_li = "POLYGON((1872000 528000,1872000 192000,\
1536119 192000,1536000 528000,1200000 528000,\
1200000 863880,1536000 863880,1872000 863880,\
1872000 528000))";
bg::read_wkt(polygon_li, int_poly);
bg::read_wkt(polygon_li, double_poly);
double int_area = bg::area(int_poly);
double double_area = bg::area(double_poly);
BOOST_CHECK_CLOSE(int_area, double_area, 0.0001);
}
void test_variant()
{
typedef bg::model::point<double, 2, bg::cs::cartesian> double_point_type;
typedef bg::model::polygon<double_point_type> polygon_type;
typedef bg::model::box<double_point_type> box_type;
polygon_type poly;
std::string const polygon_li = "POLYGON((18 5,18 1,15 1,15 5,12 5,12 8,15 8,18 8,18 5))";
bg::read_wkt(polygon_li, poly);
box_type box;
std::string const box_li = "BOX(0 0,2 2)";
bg::read_wkt(box_li, box);
boost::variant<polygon_type, box_type> v;
v = poly;
BOOST_CHECK_CLOSE(bg::area(v), bg::area(poly), 0.0001);
v = box;
BOOST_CHECK_CLOSE(bg::area(v), bg::area(box), 0.0001);
}
int test_main(int, char* [])
{
test_all<bg::model::point<int, 2, bg::cs::cartesian> >();
test_all<bg::model::point<float, 2, bg::cs::cartesian> >();
test_all<bg::model::point<double, 2, bg::cs::cartesian> >();
typedef bg::model::point<double, 2, bg::cs::cartesian> pt_crt;
typedef bg::model::point<double, 2, bg::cs::spherical_equatorial<bg::degree> > pt_sph;
typedef bg::model::point<double, 2, bg::cs::geographic<bg::degree> > pt_geo;
// mean Earth's radius^2
double r2 = bg::math::sqr(bg::get_radius<0>(bg::srs::sphere<double>()));
test_ccw<pt_crt>();
test_ccw<pt_sph>();
test_ccw<pt_geo>();
test_open<pt_crt>(2.0);
test_open<pt_sph>(24726179921.523518 / r2);
test_open<pt_geo >(24615492936.977146);
test_open_ccw<pt_crt>(2.0);
test_open_ccw<pt_sph>(24726179921.523518 / r2);
test_open_ccw<pt_geo >(24615492936.977146);
test_poles_ccw<pt_crt>();
test_poles_ccw<pt_sph>();
test_poles_ccw<pt_geo >();
#ifdef HAVE_TTMATH
test_all<bg::model::d2::point_xy<ttmath_big> >();
test_spherical_geo<ttmath_big>();
#endif
test_large_integers();
test_variant();
// test_empty_input<bg::model::d2::point_xy<int> >();
return 0;
}
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