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1 // Boost.Geometry (aka GGL, Generic Geometry Library)
2 // Robustness Test
3 
4 // Copyright (c) 2012-2015 Barend Gehrels, Amsterdam, the Netherlands.
5 
6 // Use, modification and distribution is subject to the Boost Software License,
7 // Version 1.0. (See accompanying file LICENSE_1_0.txt or copy at
8 // http://www.boost.org/LICENSE_1_0.txt)
9 
10 #if defined(_MSC_VER)
11 #  pragma warning( disable : 4244 )
12 #  pragma warning( disable : 4267 )
13 #endif
14 
15 #include <fstream>
16 #include <sstream>
17 
18 #include <boost/foreach.hpp>
19 #include <boost/program_options.hpp>
20 #include <boost/random/linear_congruential.hpp>
21 #include <boost/random/uniform_int.hpp>
22 #include <boost/random/uniform_real.hpp>
23 #include <boost/random/variate_generator.hpp>
24 #include <boost/timer.hpp>
25 
26 #include <boost/geometry.hpp>
27 #include <boost/geometry/geometries/geometries.hpp>
28 #include <boost/geometry/geometries/point_xy.hpp>
29 
30 #include <boost/geometry/io/svg/svg_mapper.hpp>
31 #include <boost/geometry/extensions/algorithms/midpoints.hpp>
32 
33 #include <common/common_settings.hpp>
34 #include <common/make_square_polygon.hpp>
35 
36 
37 namespace bg = boost::geometry;
38 
39 template <typename Geometry1, typename Geometry2, typename Geometry3>
create_svg(std::string const & filename,Geometry1 const & mp,Geometry2 const & ls,Geometry3 const & difference,Geometry3 const & intersection)40 void create_svg(std::string const& filename
41                 , Geometry1 const& mp
42                 , Geometry2 const& ls
43                 , Geometry3 const& difference
44                 , Geometry3 const& intersection
45                 )
46 {
47     typedef typename boost::geometry::point_type<Geometry1>::type point_type;
48 
49 
50     std::ofstream svg(filename.c_str());
51     boost::geometry::svg_mapper<point_type> mapper(svg, 800, 800);
52 
53     boost::geometry::model::box<point_type> box;
54     bg::envelope(mp, box);
55     bg::buffer(box, box, 1.0);
56     mapper.add(box);
57     bg::envelope(ls, box);
58     bg::buffer(box, box, 1.0);
59     mapper.add(box);
60 
61     mapper.map(mp, "fill-opacity:0.5;fill:rgb(153,204,0);stroke:rgb(153,204,0);stroke-width:3");
62     mapper.map(ls, "stroke-opacity:0.9;stroke:rgb(0,0,0);stroke-width:1");
63 
64     mapper.map(intersection,"opacity:0.6;stroke:rgb(0,128,0);stroke-width:5");
65     mapper.map(difference,  "opacity:0.6;stroke:rgb(255,0,255);stroke-width:5"); //;stroke-dasharray:1,7;stroke-linecap:round
66 }
67 
68 
69 template <typename Linestring, typename Generator, typename Settings>
make_random_linestring(Linestring & line,Generator & generator,Settings const & settings)70 inline void make_random_linestring(Linestring& line, Generator& generator, Settings const& settings)
71 {
72     using namespace boost::geometry;
73 
74     typedef typename point_type<Linestring>::type point_type;
75     typedef typename coordinate_type<Linestring>::type coordinate_type;
76 
77     coordinate_type x, y;
78     x = generator();
79     y = generator();
80 
81     int count = 3 + generator() % 6;
82     int d = 0; // direction
83 
84     for (int i = 0; i <= count && x <= settings.field_size; i++, x++, d = 1 - d)
85     {
86         append(line, make<point_type>(x, y + d));
87         append(line, make<point_type>(x, y + 1 - d));
88     }
89 
90     if (d == 0 && generator() % 4 < 3 && y >= 2)
91     {
92         d = 1 - d;
93         x--;
94         y -= 2;
95         count = 3 + generator() % 6;
96         for (int i = 0; i <= count && x >= 0; i++, x--, d = 1 - d)
97         {
98             append(line, make<point_type>(x, y + d));
99             append(line, make<point_type>(x, y + 1 - d));
100         }
101     }
102 
103     //if (settings.triangular)
104     //{
105     //    // Remove a point, generator says which
106     //    int c = generator() % 4;
107     //    if (c >= 1 && c <= 3)
108     //    {
109     //        ring.erase(ring.begin() + c);
110     //    }
111     //}
112 }
113 
114 template<typename Geometry>
115 class inside_check
116 {
117     Geometry const& m_geo;
118     bool& m_result;
119 public :
120 
inside_check(Geometry const & geo,bool & result)121     inside_check(Geometry const& geo, bool& result)
122         : m_geo(geo)
123         , m_result(result)
124     {}
125 
operator =(inside_check<Geometry> const & input)126     inline inside_check<Geometry> operator=(inside_check<Geometry> const& input)
127     {
128         return inside_check<Geometry>(input.m_geo, input.m_result);
129     }
130 
131     template <typename Point>
operator ()(Point const & p)132     inline void operator()(Point const& p)
133     {
134         if (! bg::covered_by(p, m_geo))
135         {
136             if (m_result)
137             {
138                 std::cout << "Does not fulfill inside check" << std::endl;
139             }
140             m_result = false;
141         }
142     }
143 };
144 
145 
146 template<typename Geometry>
147 class outside_check
148 {
149     Geometry const& m_geo;
150     bool& m_result;
151 public :
outside_check(Geometry const & geo,bool & result)152     outside_check(Geometry const& geo, bool& result)
153         : m_geo(geo)
154         , m_result(result)
155     {}
156 
operator =(outside_check<Geometry> const & input)157     inline outside_check<Geometry> operator=(outside_check<Geometry> const& input)
158     {
159         return outside_check<Geometry>(input.m_geo, input.m_result);
160     }
161 
162     template <typename Point>
operator ()(Point const & p)163     inline void operator()(Point const& p)
164     {
165         if (bg::within(p, m_geo))
166         {
167             if (m_result)
168             {
169                 std::cout << "Does not fulfill outside check" << std::endl;
170             }
171             m_result = false;
172         }
173     }
174 };
175 
176 template<typename Segment>
177 class border2_check
178 {
179     Segment const& m_segment;
180     bool& m_result;
181 
182 public :
border2_check(Segment const & seg,bool & result)183     border2_check(Segment const& seg, bool& result)
184         : m_segment(seg)
185         , m_result(result)
186     {}
187 
operator =(border2_check<Segment> const & input)188     inline border2_check<Segment> operator=(border2_check<Segment> const& input)
189     {
190         return border2_check<Segment>(input.m_segment, input.m_result);
191     }
192 
193     template <typename Segment2>
operator ()(Segment2 const & segment)194     inline void operator()(Segment2 const& segment)
195     {
196         // Create copies (TODO: find out why referring_segment does not compile)
197         typedef typename bg::point_type<Segment2>::type pt;
198         typedef bg::model::segment<pt> segment_type;
199 
200         typedef bg::strategy::intersection::relate_cartesian_segments
201                     <
202                         bg::policies::relate::segments_intersection_points
203                             <
204                                 segment_type,
205                                 segment_type,
206                                 bg::segment_intersection_points<pt>
207                             >
208                     > policy;
209 
210         segment_type seg1, seg2;
211         bg::convert(m_segment, seg1);
212         bg::convert(segment, seg2);
213         bg::segment_intersection_points<pt> is = policy::apply(seg1, seg2);
214 
215         if (is.count == 2)
216         {
217             if (m_result)
218             {
219                 std::cout << "Does not fulfill border2 check" << std::endl;
220             }
221             m_result = true;
222         }
223     }
224 };
225 
226 template<typename Geometry>
227 class border_check
228 {
229     Geometry const& m_geo;
230     bool& m_result;
231 public :
border_check(Geometry const & geo,bool & result)232     border_check(Geometry const& geo, bool& result)
233         : m_geo(geo)
234         , m_result(result)
235     {}
236 
operator =(border_check<Geometry> const & input)237     inline border_check<Geometry> operator=(border_check<Geometry> const& input)
238     {
239         return border_check<Geometry>(input.m_geo, input.m_result);
240     }
241 
242     template <typename Segment>
operator ()(Segment const & s)243     inline void operator()(Segment const& s)
244     {
245         bool on_border = false;
246         border2_check<Segment> checker(s, on_border);
247         bg::for_each_segment(m_geo, checker);
248 
249         if (on_border)
250         {
251             if (m_result)
252             {
253                 std::cout << "Does not fulfill border check" << std::endl;
254             }
255             m_result = false;
256         }
257     }
258 };
259 
260 
261 template <typename MultiPolygon, typename Linestring, typename Settings>
verify(std::string const & caseid,MultiPolygon const & mp,Linestring const & ls,Settings const & settings)262 bool verify(std::string const& caseid, MultiPolygon const& mp, Linestring const& ls, Settings const& settings)
263 {
264     bg::model::multi_linestring<Linestring> difference, intersection;
265     bg::difference(ls, mp, difference);
266     bg::intersection(ls, mp, intersection);
267 
268     //typedef typename bg::length_result_type<point_type>::type length_type;
269 
270     bool result = true;
271 
272     // 1) Check by length
273     typedef double length_type;
274     length_type len_input = bg::length(ls);
275     length_type len_difference = bg::length(difference);
276     length_type len_intersection = bg::length(intersection);
277     if (! bg::math::equals(len_input, len_difference + len_intersection))
278     {
279         std::cout << "Input: " << len_input
280             << " difference: " << len_difference
281             << " intersection: " << len_intersection
282             << std::endl;
283 
284         std::cout << "Does not fulfill length check" << std::endl;
285 
286         result = false;
287     }
288 
289     // 2) Check by within and covered by
290     inside_check<MultiPolygon> ic(mp, result);
291     bg::for_each_point(intersection, ic);
292 
293     outside_check<MultiPolygon> oc(mp, result);
294     bg::for_each_point(difference, oc);
295 
296     border_check<MultiPolygon> bc(mp, result);
297     bg::for_each_segment(difference, bc);
298 
299     // 3) check also the mid-points from the difference to remove false positives
300     BOOST_FOREACH(Linestring const& d, difference)
301     {
302         Linestring difference_midpoints;
303         bg::midpoints(d, false, std::back_inserter(difference_midpoints));
304         outside_check<MultiPolygon> ocm(mp, result);
305         bg::for_each_point(difference_midpoints, ocm);
306     }
307 
308 
309     bool svg = settings.svg;
310     bool wkt = settings.wkt;
311     if (! result)
312     {
313         std::cout << "ERROR " << caseid << std::endl;
314         std::cout << bg::wkt(mp) << std::endl;
315         std::cout << bg::wkt(ls) << std::endl;
316         svg = true;
317         wkt = true;
318     }
319 
320     if (svg)
321     {
322         std::ostringstream filename;
323         filename << caseid << "_"
324             << typeid(typename bg::coordinate_type<Linestring>::type).name()
325             << ".svg";
326         create_svg(filename.str(), mp, ls, difference, intersection);
327     }
328 
329     if (wkt)
330     {
331         std::ostringstream filename;
332         filename << caseid << "_"
333             << typeid(typename bg::coordinate_type<Linestring>::type).name()
334             << ".wkt";
335         std::ofstream stream(filename.str().c_str());
336         stream << bg::wkt(mp) << std::endl;
337         stream << bg::wkt(ls) << std::endl;
338     }
339 
340     return result;
341 }
342 
343 template <typename MultiPolygon, typename Generator>
test_linear_areal(MultiPolygon & result,int & index,Generator & generator,int level,common_settings const & settings)344 bool test_linear_areal(MultiPolygon& result, int& index,
345             Generator& generator,
346             int level, common_settings const& settings)
347 {
348     MultiPolygon p, q;
349 
350     // Generate two boxes
351     if (level == 0)
352     {
353         p.resize(1);
354         q.resize(1);
355         make_square_polygon(p.front(), generator, settings);
356         make_square_polygon(q.front(), generator, settings);
357         bg::correct(p);
358         bg::correct(q);
359     }
360     else
361     {
362         bg::correct(p);
363         bg::correct(q);
364         if (! test_linear_areal(p, index, generator, level - 1, settings)
365             || ! test_linear_areal(q, index, generator, level - 1, settings))
366         {
367             return false;
368         }
369     }
370 
371     typedef typename boost::range_value<MultiPolygon>::type polygon;
372 
373     MultiPolygon mp;
374     bg::detail::union_::union_insert
375         <
376             polygon
377         >(p, q, std::back_inserter(mp));
378 
379     bg::unique(mp);
380     bg::simplify(mp, result, 0.01);
381     bg::correct(mp);
382 
383     // Generate a linestring
384     typedef typename bg::point_type<MultiPolygon>::type point_type;
385     typedef bg::model::linestring<point_type> linestring_type;
386     linestring_type ls;
387     make_random_linestring(ls, generator, settings);
388 
389     std::ostringstream out;
390     out << "recursive_la_" << index++ << "_" << level;
391     return verify(out.str(), mp, ls, settings);
392 }
393 
394 
395 template <typename T, bool Clockwise, bool Closed>
test_all(int seed,int count,int level,common_settings const & settings)396 void test_all(int seed, int count, int level, common_settings const& settings)
397 {
398     boost::timer t;
399 
400     typedef boost::minstd_rand base_generator_type;
401 
402     base_generator_type generator(seed);
403 
404     boost::uniform_int<> random_coordinate(0, settings.field_size - 1);
405     boost::variate_generator<base_generator_type&, boost::uniform_int<> >
406         coordinate_generator(generator, random_coordinate);
407 
408     typedef bg::model::polygon
409         <
410             bg::model::d2::point_xy<T>, Clockwise, Closed
411         > polygon;
412     typedef bg::model::multi_polygon<polygon> mp;
413 
414 
415     int index = 0;
416     for(int i = 0; i < count; i++)
417     {
418         mp p;
419         test_linear_areal<mp>(p, index, coordinate_generator, level, settings);
420     }
421     std::cout
422         << "geometries: " << index
423         << " type: " << typeid(T).name()
424         << " time: " << t.elapsed()  << std::endl;
425 }
426 
main(int argc,char ** argv)427 int main(int argc, char** argv)
428 {
429     try
430     {
431         namespace po = boost::program_options;
432         po::options_description description("=== recursive_polygons_linear_areal ===\nAllowed options");
433 
434         int count = 1;
435         int seed = static_cast<unsigned int>(std::time(0));
436         int level = 3;
437         bool ccw = false;
438         bool open = false;
439         common_settings settings;
440         std::string form = "box";
441 
442         description.add_options()
443             ("help", "Help message")
444             ("seed", po::value<int>(&seed), "Initialization seed for random generator")
445             ("count", po::value<int>(&count)->default_value(1), "Number of tests")
446             ("diff", po::value<bool>(&settings.also_difference)->default_value(false), "Include testing on difference")
447             ("level", po::value<int>(&level)->default_value(3), "Level to reach (higher->slower)")
448             ("form", po::value<std::string>(&form)->default_value("box"), "Form of the polygons (box, triangle)")
449             ("ccw", po::value<bool>(&ccw)->default_value(false), "Counter clockwise polygons")
450             ("open", po::value<bool>(&open)->default_value(false), "Open polygons")
451             ("size", po::value<int>(&settings.field_size)->default_value(10), "Size of the field")
452             ("wkt", po::value<bool>(&settings.wkt)->default_value(false), "Create a WKT of the inputs, for all tests")
453             ("svg", po::value<bool>(&settings.svg)->default_value(false), "Create a SVG for all tests")
454         ;
455 
456         po::variables_map varmap;
457         po::store(po::parse_command_line(argc, argv, description), varmap);
458         po::notify(varmap);
459 
460         if (varmap.count("help")
461             || (form != "box" && form != "triangle"))
462         {
463             std::cout << description << std::endl;
464             return 1;
465         }
466 
467         settings.triangular = form != "box";
468 
469         if (ccw && open)
470         {
471             test_all<double, false, false>(seed, count, level, settings);
472         }
473         else if (ccw)
474         {
475             test_all<double, false, true>(seed, count, level, settings);
476         }
477         else if (open)
478         {
479             test_all<double, true, false>(seed, count, level, settings);
480         }
481         else
482         {
483             test_all<double, true, true>(seed, count, level, settings);
484         }
485 
486 #if defined(HAVE_TTMATH)
487         // test_all<ttmath_big, true, true>(seed, count, max, svg, level);
488 #endif
489     }
490     catch(std::exception const& e)
491     {
492         std::cout << "Exception " << e.what() << std::endl;
493     }
494     catch(...)
495     {
496         std::cout << "Other exception" << std::endl;
497     }
498 
499     return 0;
500 }
501