Adding upstream version 14.2.21.upstream/14.2.21 upstream

Signed-off-by: Daniel Baumann <daniel.baumann@progress-linux.org>
author: Daniel Baumann <daniel.baumann@progress-linux.org> 2024-04-27 18:24:20 +0000
committer: Daniel Baumann <daniel.baumann@progress-linux.org> 2024-04-27 18:24:20 +0000
commit: 483eb2f56657e8e7f419ab1a4fab8dce9ade8609 (patch)
tree: e5d88d25d870d5dedacb6bbdbe2a966086a0a5cf /src/boost/libs/polygon
parent: Initial commit. (diff)
download: ceph-upstream.tar.xz
ceph-upstream.zip
261 files changed, 28395 insertions, 0 deletions
diff --git a/src/boost/libs/polygon/CMakeLists.txt b/src/boost/libs/polygon/CMakeLists.txt
new file mode 100644
index 00000000..931f58a1
--- /dev/null
+++ b/src/boost/libs/polygon/CMakeLists.txt
@@ -0,0 +1,17 @@
+# Copyright 2018 Glen Joseph Fernandes
+# (glenjofe@gmail.com)
+#
+# Distributed under the Boost Software License, Version 1.0.
+# (http://www.boost.org/LICENSE_1_0.txt)
+
+cmake_minimum_required(VERSION 3.5)
+
+project(BoostPolygon LANGUAGES CXX)
+
+add_library(boost_polygon INTERFACE)
+
+add_library(Boost::polygon ALIAS boost_polygon)
+
+target_include_directories(boost_polygon INTERFACE include)
+
+target_link_libraries(boost_polygon INTERFACE Boost::config)
diff --git a/src/boost/libs/polygon/Jamfile.v2 b/src/boost/libs/polygon/Jamfile.v2
new file mode 100644
index 00000000..cbae96c1
--- /dev/null
+++ b/src/boost/libs/polygon/Jamfile.v2
@@ -0,0 +1,20 @@
+# Boost Build v2 Jamroot for Polygon unit 
+#
+#  Copyright 2010 Intel Corporation
+#
+# 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)
+
+project 
+    : requirements
+        <warnings>all
+        <toolset>intel:<warnings>on
+        <toolset>intel-win:<cxxflags>"/bigobj"
+        <toolset>gcc:<cxxflags>"-pedantic -Wall -Wstrict-aliasing -fstrict-aliasing -Wno-long-long"
+        <toolset>msvc:<cxxflags>"/W4 /bigobj"
+        <include>../..
+        <include>.
+    ;
+
+
diff --git a/src/boost/libs/polygon/benchmark/Jamfile.v2 b/src/boost/libs/polygon/benchmark/Jamfile.v2
new file mode 100644
index 00000000..53c19a3a
--- /dev/null
+++ b/src/boost/libs/polygon/benchmark/Jamfile.v2
@@ -0,0 +1,42 @@
+#          Copyright Andrii Sydorchuk 2010-2012.
+# Distributed under 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)
+
+import testing ;
+
+# Path constants required by the benchmarks.
+path-constant GMP_ROOT : /home/slevin/Workspace/Libraries/gmp ;
+path-constant MPFR_ROOT : /home/slevin/Workspace/Libraries/mpfr ;
+path-constant CGAL_ROOT : /home/slevin/Workspace/Libraries/cgal ;
+path-constant SHULL_ROOT : /home/slevin/Workspace/Libraries/s_hull ;
+
+project voronoi-benchmark
+    :
+    requirements
+        <include>$(CGAL_ROOT)/include
+        <include>$(SHULL_ROOT)/include
+        <toolset>gcc:<library>$(GMP_ROOT)/lib/libgmp.so
+        <toolset>gcc:<library>$(MPFR_ROOT)/lib/libmpfr.so
+        <toolset>gcc:<library>$(CGAL_ROOT)/lib/libCGAL.so
+        <toolset>gcc:<library>$(CGAL_ROOT)/lib/libCGAL_Core.so
+        <toolset>gcc:<library>$(SHULL_ROOT)/s_hull.so
+        <toolset>gcc:<library>$(BOOST_ROOT)/libs/timer/build//boost_timer
+        <toolset>gcc:<library>$(BOOST_ROOT)/libs/thread/build//boost_thread
+        <toolset>gcc:<library>$(BOOST_ROOT)/libs/test/build//boost_unit_test_framework
+    ;
+
+alias "benchmark-general"
+    :
+        [ run voronoi_benchmark.cpp ]
+    ;
+
+alias "benchmark-points"
+    :
+        [ run voronoi_benchmark_points.cpp ]
+    ;
+
+alias "benchmark-segments"
+    :
+        [ run voronoi_benchmark_segments.cpp ]
+    ;
diff --git a/src/boost/libs/polygon/benchmark/benchmark_results/plots/benchmark_points.png b/src/boost/libs/polygon/benchmark/benchmark_results/plots/benchmark_points.png
new file mode 100644
index 00000000..c3825054
--- /dev/null
+++ b/src/boost/libs/polygon/benchmark/benchmark_results/plots/benchmark_points.png
diff --git a/src/boost/libs/polygon/benchmark/benchmark_results/plots/benchmark_segments.png b/src/boost/libs/polygon/benchmark/benchmark_results/plots/benchmark_segments.png
new file mode 100644
index 00000000..0bbc0362
--- /dev/null
+++ b/src/boost/libs/polygon/benchmark/benchmark_results/plots/benchmark_segments.png
diff --git a/src/boost/libs/polygon/benchmark/input_data/voronoi_point.txt b/src/boost/libs/polygon/benchmark/input_data/voronoi_point.txt
new file mode 100644
index 00000000..a9fb87f4
--- /dev/null
+++ b/src/boost/libs/polygon/benchmark/input_data/voronoi_point.txt
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diff --git a/src/boost/libs/polygon/benchmark/input_data/voronoi_segment.txt b/src/boost/libs/polygon/benchmark/input_data/voronoi_segment.txt
new file mode 100644
index 00000000..bb7e3028
--- /dev/null
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diff --git a/src/boost/libs/polygon/benchmark/voronoi_benchmark.cpp b/src/boost/libs/polygon/benchmark/voronoi_benchmark.cpp
new file mode 100644
index 00000000..8b8328c6
--- /dev/null
+++ b/src/boost/libs/polygon/benchmark/voronoi_benchmark.cpp
@@ -0,0 +1,156 @@
+// Boost.Polygon library voronoi_benchmark.cpp file
+
+//          Copyright Andrii Sydorchuk 2010-2012.
+// Distributed under 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)
+
+// See http://www.boost.org for updates, documentation, and revision history.
+
+#include <algorithm>
+#include <iomanip>
+#include <iostream>
+#include <fstream>
+#include <list>
+#include <numeric>
+#include <vector>
+
+#define BOOST_TEST_MODULE benchmark_test
+#include <boost/mpl/list.hpp>
+#include <boost/random/mersenne_twister.hpp>
+#include <boost/test/test_case_template.hpp>
+#include <boost/timer.hpp>
+
+#include <boost/polygon/polygon.hpp>
+#include <boost/polygon/voronoi.hpp>
+using boost::polygon::point_data;
+using boost::polygon::segment_data;
+using boost::polygon::voronoi_diagram;
+
+typedef boost::mpl::list<int> test_types;
+const char *BENCHMARK_FILE = "voronoi_benchmark.txt";
+const char *POINT_INPUT_FILE = "input_data/voronoi_point.txt";
+const char *SEGMENT_INPUT_FILE = "input_data/voronoi_segment.txt";
+const int POINT_RUNS = 10;
+const int SEGMENT_RUNS = 10;
+
+boost::mt19937 gen(static_cast<unsigned int>(time(NULL)));
+boost::timer timer;
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(benchmark_test_random, T, test_types) {
+    typedef T coordinate_type;
+    typedef point_data<coordinate_type> point_type;
+    voronoi_diagram<double> test_output;
+
+    std::ofstream bench_file(BENCHMARK_FILE, std::ios_base::out | std::ios_base::app);
+    bench_file << "Voronoi Benchmark Test (time in seconds):" << std::endl;
+    bench_file << "| Number of points | Number of tests | Time per one test |" << std::endl;
+    bench_file << std::setiosflags(std::ios::right | std::ios::fixed) << std::setprecision(6);
+    int max_points = 100000;
+    std::vector<point_type> points;
+    coordinate_type x, y;
+    for (int num_points = 10; num_points <= max_points; num_points *= 10) {
+        points.resize(num_points);
+        timer.restart();
+        int num_tests = max_points / num_points;
+        for (int cur = 0; cur < num_tests; cur++) {
+            test_output.clear();
+            for (int cur_point = 0; cur_point < num_points; cur_point++) {
+                x = static_cast<coordinate_type>(gen());
+                y = static_cast<coordinate_type>(gen());
+                points[cur_point] = point_type(x, y);
+            }
+            construct_voronoi(points.begin(), points.end(), &test_output);
+        }
+        double elapsed_time = timer.elapsed();
+        double time_per_test = elapsed_time / num_tests;
+
+        bench_file << "| " << std::setw(16) << num_points << " ";
+        bench_file << "| " << std::setw(15) << num_tests << " ";
+        bench_file << "| " << std::setw(17) << time_per_test << " ";
+        bench_file << "| " << std::endl;
+    }
+    bench_file.close();
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(benchmark_test_points, T, test_types) {
+    typedef T coordinate_type;
+    typedef point_data<coordinate_type> point_type;
+
+    std::vector<point_type> points;
+    {
+        std::ifstream input_file(POINT_INPUT_FILE);
+        int num_points;
+        coordinate_type x, y;
+        input_file >> num_points;
+        points.reserve(num_points);
+        for (int i = 0; i < num_points; ++i) {
+            input_file >> x >> y;
+            points.push_back(point_type(x, y));
+        }
+        input_file.close();
+    }
+
+    std::vector<double> periods;
+    {
+        for (int i = 0; i < POINT_RUNS; ++i) {
+            voronoi_diagram<double> test_output;
+            timer.restart();
+            construct_voronoi(points.begin(), points.end(), &test_output);
+            periods.push_back(timer.elapsed());
+        }
+    }
+    std::sort(periods.begin(), periods.end());
+    // Using olympic system to evaluate average time.
+    double elapsed_time =
+        std::accumulate(periods.begin() + 2, periods.end() - 2, 0.0);
+    elapsed_time /= (periods.size() - 4);
+
+    std::ofstream bench_file(
+        BENCHMARK_FILE, std::ios_base::out | std::ios_base::app);
+    bench_file << std::setiosflags(std::ios::right | std::ios::fixed) << std::setprecision(6);
+    bench_file << "Static test of " << points.size() << " points: " << elapsed_time << std::endl;
+    bench_file.close();
+}
+
+BOOST_AUTO_TEST_CASE_TEMPLATE(benchmark_test_segments, T, test_types) {
+    typedef T coordinate_type;
+    typedef point_data<coordinate_type> point_type;
+    typedef segment_data<coordinate_type> segment_type;
+
+    std::vector<segment_type> segments;
+    {
+        std::ifstream input_file(SEGMENT_INPUT_FILE);
+        int num_segments;
+        coordinate_type x0, y0, x1, y1;
+        input_file >> num_segments;
+        segments.reserve(num_segments);
+        for (int i = 0; i < num_segments; ++i) {
+            input_file >> x0 >> y0 >> x1 >> y1;
+            point_type p0(x0, y0), p1(x1, y1);
+            segments.push_back(segment_type(p0, p1));
+        }
+        input_file.close();
+    }
+
+    std::vector<double> periods;
+    {
+        for (int i = 0; i < SEGMENT_RUNS; ++i) {
+            voronoi_diagram<double> test_output;
+            timer.restart();
+            construct_voronoi(segments.begin(), segments.end(), &test_output);
+            periods.push_back(timer.elapsed());
+        }
+    }
+    std::sort(periods.begin(), periods.end());
+    // Using olympic system to evaluate average time.
+    double elapsed_time =
+        std::accumulate(periods.begin() + 2, periods.end() - 2, 0.0);
+    elapsed_time /= (periods.size() - 4);
+
+    std::ofstream bench_file(
+        BENCHMARK_FILE, std::ios_base::out | std::ios_base::app);
+    bench_file << std::setiosflags(std::ios::right | std::ios::fixed) << std::setprecision(6);
+    bench_file << "Static test of " << segments.size() << " segments: " << elapsed_time << std::endl;
+    bench_file.close();
+}
diff --git a/src/boost/libs/polygon/benchmark/voronoi_benchmark_points.cpp b/src/boost/libs/polygon/benchmark/voronoi_benchmark_points.cpp
new file mode 100644
index 00000000..75564a97
--- /dev/null
+++ b/src/boost/libs/polygon/benchmark/voronoi_benchmark_points.cpp
@@ -0,0 +1,151 @@
+// Boost.Polygon library voronoi_benchmark.cpp file
+
+//          Copyright Andrii Sydorchuk 2010-2012.
+// Distributed under 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)
+
+// See http://www.boost.org for updates, documentation, and revision history.
+
+#include <algorithm>
+#include <iomanip>
+#include <iostream>
+#include <fstream>
+#include <numeric>
+#include <vector>
+#include <utility>
+
+#include <boost/random/mersenne_twister.hpp>
+#include <boost/timer/timer.hpp>
+
+typedef boost::int32_t int32;
+using boost::timer::cpu_times;
+using boost::timer::nanosecond_type;
+
+// Include for the Boost.Polygon Voronoi library.
+#include <boost/polygon/voronoi.hpp>
+typedef boost::polygon::default_voronoi_builder VB_BOOST;
+typedef boost::polygon::voronoi_diagram<double> VD_BOOST;
+
+// Includes for the CGAL library.
+#include <CGAL/Exact_predicates_inexact_constructions_kernel.h>
+#include <CGAL/Delaunay_triangulation_2.h>
+typedef CGAL::Exact_predicates_inexact_constructions_kernel CGAL_KERNEL;
+typedef CGAL::Delaunay_triangulation_2<CGAL_KERNEL> DT_CGAL;
+typedef CGAL_KERNEL::Point_2 POINT_CGAL;
+
+// Includes for the S-Hull library.
+#include <s_hull.h>
+
+const int RANDOM_SEED = 27;
+const int NUM_TESTS = 6;
+const int NUM_POINTS[] = {10, 100, 1000, 10000, 100000, 1000000};
+const int NUM_RUNS[] = {100000, 10000, 1000, 100, 10, 1};
+std::ofstream bf("benchmark_points.txt",
+                 std::ios_base::out | std::ios_base::app);
+boost::timer::cpu_timer timer;
+
+void format_line(int num_points, int num_tests, double time_per_test) {
+  bf << "| " << std::setw(16) << num_points << " ";
+  bf << "| " << std::setw(15) << num_tests << " ";
+  bf << "| " << std::setw(17) << time_per_test << " ";
+  bf << "|" << std::endl;
+}
+
+double get_elapsed_secs() {
+  cpu_times elapsed_times(timer.elapsed());
+  return 1E-9 * static_cast<double>(
+      elapsed_times.system + elapsed_times.user);
+}
+
+void run_boost_voronoi_test() {
+  boost::mt19937 gen(RANDOM_SEED);
+  bf << "Boost.Polygon Voronoi Diagram of Points:\n";
+  for (int i = 0; i < NUM_TESTS; ++i) {
+    timer.start();
+    for (int j = 0; j < NUM_RUNS[i]; ++j) {
+      VB_BOOST vb;
+      VD_BOOST vd;
+      for (int k = 0; k < NUM_POINTS[i]; ++k) {
+        int32 x = static_cast<int32>(gen());
+        int32 y = static_cast<int32>(gen());
+        vb.insert_point(x, y);
+      }
+      vb.construct(&vd);
+    }
+    double time_per_test = get_elapsed_secs() / NUM_RUNS[i];
+    format_line(NUM_POINTS[i], NUM_RUNS[i], time_per_test);
+  }
+  bf << "\n";
+}
+
+void run_cgal_delaunay_test() {
+  boost::mt19937 gen(RANDOM_SEED);
+  bf << "CGAL Delaunay Triangulation of Points:\n";
+  for (int i = 0; i < NUM_TESTS; ++i) {
+    timer.start();
+    for (int j = 0; j < NUM_RUNS[i]; ++j) {
+      DT_CGAL dt;
+      std::vector<POINT_CGAL> points;
+      for (int k = 0; k < NUM_POINTS[i]; ++k) {
+        int32 x = static_cast<int32>(gen());
+        int32 y = static_cast<int32>(gen());
+        points.push_back(POINT_CGAL(x, y));
+      }
+      // CGAL's implementation sorts points along
+      // the Hilbert curve implicitly to improve
+      // spatial ordering of the input geometries.
+      dt.insert(points.begin(), points.end());
+    }
+    double time_per_test = get_elapsed_secs() / NUM_RUNS[i];
+    format_line(NUM_POINTS[i], NUM_RUNS[i], time_per_test);
+  }
+  bf << "\n";
+}
+
+void run_shull_delaunay_test() {
+  boost::mt19937 gen(RANDOM_SEED);
+  bf << "S-Hull Delaunay Triangulation of Points:\n";
+  // This value is required by S-Hull as it doesn't seem to support properly
+  // coordinates with the absolute value higher than 100.
+  float koef = 100.0 / (1 << 16) / (1 << 15);
+  for (int i = 0; i < NUM_TESTS; ++i) {
+    timer.start();
+    for (int j = 0; j < NUM_RUNS[i]; ++j) {
+      // S-Hull doesn't deal properly with duplicates so we need
+      // to eliminate them before running the algorithm.
+      std::vector< pair<int32, int32> > upts;
+      std::vector<Shx> pts;
+      std::vector<Triad> triads;
+      Shx pt;
+      for (int k = 0; k < NUM_POINTS[i]; ++k) {
+        int32 x = static_cast<int32>(gen());
+        int32 y = static_cast<int32>(gen());
+        upts.push_back(std::make_pair(x, y));
+      }
+      // Absolutely the same code is used by the Boost.Polygon Voronoi library.
+      std::sort(upts.begin(), upts.end());
+      upts.erase(std::unique(upts.begin(), upts.end()), upts.end());
+      for (int k = 0; k < upts.size(); ++k) {
+        pt.r = koef * upts[k].first;
+        pt.c = koef * upts[k].second;
+        pt.id = k;
+        pts.push_back(pt);
+      }
+      s_hull_del_ray2(pts, triads);
+    }
+    double time_per_test = get_elapsed_secs() / NUM_RUNS[i];
+    format_line(NUM_POINTS[i], NUM_RUNS[i], time_per_test);
+  }
+  bf << "\n";
+}
+
+int main() {
+  bf << std::setiosflags(std::ios::right | std::ios::fixed)
+     << std::setprecision(6);
+  run_boost_voronoi_test();
+  run_cgal_delaunay_test();
+  run_shull_delaunay_test();
+  bf.close();
+  return 0;
+}
diff --git a/src/boost/libs/polygon/benchmark/voronoi_benchmark_segments.cpp b/src/boost/libs/polygon/benchmark/voronoi_benchmark_segments.cpp
new file mode 100644
index 00000000..70780206
--- /dev/null
+++ b/src/boost/libs/polygon/benchmark/voronoi_benchmark_segments.cpp
@@ -0,0 +1,205 @@
+// Boost.Polygon library voronoi_benchmark.cpp file
+
+//          Copyright Andrii Sydorchuk 2010-2012.
+// Distributed under 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)
+
+// See http://www.boost.org for updates, documentation, and revision history.
+
+#include <algorithm>
+#include <iomanip>
+#include <iostream>
+#include <fstream>
+#include <numeric>
+#include <vector>
+#include <utility>
+
+#include <boost/random/mersenne_twister.hpp>
+#include <boost/timer/timer.hpp>
+
+typedef boost::int32_t int32;
+using boost::timer::cpu_times;
+using boost::timer::nanosecond_type;
+
+// Include for the Boost.Polygon Voronoi library.
+#include <boost/polygon/voronoi.hpp>
+typedef boost::polygon::voronoi_diagram<double> VD_BOOST;
+
+// Includes for the CGAL library.
+#include <CGAL/Simple_cartesian.h>
+#include <CGAL/Segment_Delaunay_graph_filtered_traits_2.h>
+#include <CGAL/Segment_Delaunay_graph_2.h>
+
+typedef CGAL::Simple_cartesian<double> K;
+typedef CGAL::Segment_Delaunay_graph_filtered_traits_without_intersections_2<K> GT;
+typedef CGAL::Segment_Delaunay_graph_2<GT>  SDT_CGAL;
+typedef SDT_CGAL::Point_2 Point_CGAL;
+typedef SDT_CGAL::Site_2 Site_CGAL;
+
+// Include for the Boost.Polygon library.
+#include <boost/polygon/polygon.hpp>
+typedef boost::polygon::point_data<int32> POINT_POLYGON;
+typedef boost::polygon::segment_data<int32> SEGMENT_POLYGON;
+typedef std::vector<SEGMENT_POLYGON> SSD_POLYGON;
+
+const int RANDOM_SEED = 27;
+const int NUM_TESTS = 6;
+const int NUM_SEGMENTS[] = {10, 100, 1000, 10000, 100000, 1000000};
+const int NUM_RUNS[] = {100000, 10000, 1000, 100, 10, 1};
+std::ofstream bf("benchmark_segments.txt",
+                 std::ios_base::out | std::ios_base::app);
+boost::timer::cpu_timer timer;
+
+void format_line(int num_points, int num_tests, double time_per_test) {
+  bf << "| " << std::setw(16) << num_points << " ";
+  bf << "| " << std::setw(15) << num_tests << " ";
+  bf << "| " << std::setw(17) << time_per_test << " ";
+  bf << "|" << std::endl;
+}
+
+double get_elapsed_secs() {
+  cpu_times elapsed_times(timer.elapsed());
+  return 1E-9 * static_cast<double>(
+      elapsed_times.system + elapsed_times.user);
+}
+
+void clean_segment_set(std::vector<SEGMENT_POLYGON>* data) {
+  typedef int32 Unit;
+  typedef boost::polygon::scanline_base<Unit>::Point Point;
+  typedef boost::polygon::scanline_base<Unit>::half_edge half_edge;
+  typedef int segment_id;
+  std::vector<std::pair<half_edge, segment_id> > half_edges;
+  std::vector<std::pair<half_edge, segment_id> > half_edges_out;
+  segment_id id = 0;
+  half_edges.reserve(data->size());
+  for (std::vector<SEGMENT_POLYGON>::iterator it = data->begin();
+       it != data->end(); ++it) {
+    POINT_POLYGON l = it->low();
+    POINT_POLYGON h = it->high();
+    half_edges.push_back(std::make_pair(half_edge(l, h), id++));
+  }
+  half_edges_out.reserve(half_edges.size());
+  // Apparently no need to pre-sort data when calling validate_scan.
+  boost::polygon::line_intersection<Unit>::validate_scan(
+      half_edges_out, half_edges.begin(), half_edges.end());
+  std::vector<SEGMENT_POLYGON> result;
+  result.reserve(half_edges_out.size());
+  for (std::size_t i = 0; i < half_edges_out.size(); ++i) {
+    id = half_edges_out[i].second;
+    POINT_POLYGON l = half_edges_out[i].first.first;
+    POINT_POLYGON h = half_edges_out[i].first.second;
+    SEGMENT_POLYGON orig_seg = data->at(id);
+    if (orig_seg.high() < orig_seg.low())
+      std::swap(l, h);
+    result.push_back(SEGMENT_POLYGON(l, h));
+  }
+  std::swap(result, *data);
+}
+
+std::vector<double> get_intersection_runtime() {
+  std::vector<double> running_times;
+  boost::mt19937 gen(RANDOM_SEED);
+  for (int i = 0; i < NUM_TESTS; ++i) {
+    timer.start();
+    for (int j = 0; j < NUM_RUNS[i]; ++j) {
+      SSD_POLYGON ssd;
+      for (int k = 0; k < NUM_SEGMENTS[i]; ++k) {
+        int32 x1 = gen();
+        int32 y1 = gen();
+        int32 dx = (gen() & 1023) + 1;
+        int32 dy = (gen() & 1023) + 1;
+        ssd.push_back(SEGMENT_POLYGON(
+            POINT_POLYGON(x1, y1), POINT_POLYGON(x1 + dx, y1 + dy)));
+      }
+      clean_segment_set(&ssd);
+    }
+    running_times.push_back(get_elapsed_secs());
+  }
+  return running_times;
+}
+
+void run_boost_voronoi_test(const std::vector<double> &running_times) {
+  boost::mt19937 gen(RANDOM_SEED);
+  bf << "Boost.Polygon Voronoi of Segments:\n";
+  for (int i = 0; i < NUM_TESTS; ++i) {
+    timer.start();
+    for (int j = 0; j < NUM_RUNS[i]; ++j) {
+      SSD_POLYGON ssd;
+      VD_BOOST vd;
+      for (int k = 0; k < NUM_SEGMENTS[i]; ++k) {
+        int32 x1 = gen();
+        int32 y1 = gen();
+        int32 dx = (gen() & 1023) + 1;
+        int32 dy = (gen() & 1023) + 1;
+        ssd.push_back(SEGMENT_POLYGON(
+            POINT_POLYGON(x1, y1),
+            POINT_POLYGON(x1 + dx, y1 + dy)));
+      }
+      clean_segment_set(&ssd);
+      boost::polygon::construct_voronoi(ssd.begin(), ssd.end(), &vd);
+    }
+    double time_per_test =
+        (get_elapsed_secs() - running_times[i]) / NUM_RUNS[i];
+    format_line(NUM_SEGMENTS[i], NUM_RUNS[i], time_per_test);
+  }
+  bf << "\n";
+}
+
+void run_cgal_delaunay_test(const std::vector<double> &running_times) {
+  boost::mt19937 gen(RANDOM_SEED);
+  bf << "CGAL Triangulation of Segments:\n";
+  for (int i = 0; i < NUM_TESTS; ++i) {
+    timer.start();
+    for (int j = 0; j < NUM_RUNS[i]; ++j) {
+      SSD_POLYGON ssd;
+      for (int k = 0; k < NUM_SEGMENTS[i]; ++k) {
+        int32 x1 = gen();
+        int32 y1 = gen();
+        int32 dx = (gen() & 1023) + 1;
+        int32 dy = (gen() & 1023) + 1;
+        ssd.push_back(SEGMENT_POLYGON(
+            POINT_POLYGON(x1, y1),
+            POINT_POLYGON(x1 + dx, y1 + dy)));
+      }
+      clean_segment_set(&ssd);
+
+      typedef std::vector<Point_CGAL> Points_container;
+      typedef std::vector<Points_container>::size_type Index_type;
+      typedef std::vector< std::pair<Index_type, Index_type> > Constraints_container;
+      Points_container points;
+      Constraints_container constraints;
+      points.reserve(ssd.size() * 2);
+      constraints.reserve(ssd.size());
+      for (SSD_POLYGON::iterator it = ssd.begin(); it != ssd.end(); ++it) {
+        points.push_back(Point_CGAL(
+            boost::polygon::x(it->low()),
+            boost::polygon::y(it->low())));
+        points.push_back(Point_CGAL(
+            boost::polygon::x(it->high()),
+            boost::polygon::y(it->high())));
+        constraints.push_back(
+            std::make_pair(points.size() - 2, points.size() - 1));
+      }
+
+      SDT_CGAL sdg;
+      sdg.insert_segments(
+          points.begin(), points.end(),
+          constraints.begin(), constraints.end());
+    }
+    double time_per_test =
+        (get_elapsed_secs() - running_times[i]) / NUM_RUNS[i];
+    format_line(NUM_SEGMENTS[i], NUM_RUNS[i], time_per_test);
+  }
+  bf << "\n";
+}
+
+int main() {
+  bf << std::setiosflags(std::ios::right | std::ios::fixed)
+     << std::setprecision(6);
+  std::vector<double> running_times = get_intersection_runtime();
+  run_boost_voronoi_test(running_times);
+  run_cgal_delaunay_test(running_times);
+  bf.close();
+  return 0;
+}
diff --git a/src/boost/libs/polygon/example/Jamfile.v2 b/src/boost/libs/polygon/example/Jamfile.v2
new file mode 100644
index 00000000..a8dc212c
--- /dev/null
+++ b/src/boost/libs/polygon/example/Jamfile.v2
@@ -0,0 +1,43 @@
+#          Copyright Andrii Sydorchuk 2010-2012.
+# Distributed under 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)
+
+import cast ;
+import testing ;
+
+lib opengl : : <name>opengl32 ;
+
+project voronoi_example
+    :
+    requirements
+        <include>.
+        <toolset>msvc:<asynch-exceptions>on
+        <library>$(BOOST_ROOT)/libs/timer/build//boost_timer
+    ;
+
+exe voronoi-visualizer
+    :
+        voronoi_visualizer.cpp
+        [ cast _ moccable-cpp : voronoi_visualizer.cpp ]
+        /qt//QtOpenGL 
+    : 
+        <target-os>windows:<library>opengl
+    ;
+
+alias "basic-tutorial"
+    :
+        [ run voronoi_basic_tutorial.cpp ]
+    ;
+
+alias "advanced-tutorial"
+    :
+        [ run voronoi_advanced_tutorial.cpp ]
+    ;
+
+alias "documentation-examples"
+    :
+        [ run gtl_custom_point.cpp ]
+        [ run gtl_custom_polygon.cpp ]
+        [ run gtl_custom_polygon_set.cpp ]
+    ;
diff --git a/src/boost/libs/polygon/example/gtl_custom_point.cpp b/src/boost/libs/polygon/example/gtl_custom_point.cpp
new file mode 100644
index 00000000..665c82ed
--- /dev/null
+++ b/src/boost/libs/polygon/example/gtl_custom_point.cpp
@@ -0,0 +1,120 @@
+/*
+Copyright 2008 Intel Corporation
+
+Use, modification and distribution are 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 <boost/polygon/polygon.hpp>
+#include <cassert>
+namespace gtl = boost::polygon;
+using namespace boost::polygon::operators;
+
+//lets make the body of main from point_usage.cpp
+//a generic function parameterized by point type
+template <typename Point>
+void test_point() {
+  //constructing a gtl point
+  int x = 10;
+  int y = 20;
+  //Point pt(x, y);
+  Point pt = gtl::construct<Point>(x, y);
+  assert(gtl::x(pt) == 10);
+  assert(gtl::y(pt) == 20);
+    
+  //a quick primer in isotropic point access
+  typedef gtl::orientation_2d O;
+  using gtl::HORIZONTAL;
+  using gtl::VERTICAL;
+  O o = HORIZONTAL;
+  assert(gtl::x(pt) == gtl::get(pt, o));
+    
+  o = o.get_perpendicular();
+  assert(o == VERTICAL);
+  assert(gtl::y(pt) == gtl::get(pt, o));
+    
+  gtl::set(pt, o, 30);
+  assert(gtl::y(pt) == 30);
+    
+  //using some of the library functions
+  //Point pt2(10, 30);
+  Point pt2 = gtl::construct<Point>(10, 30);
+  assert(gtl::equivalence(pt, pt2));
+    
+  gtl::transformation<int> tr(gtl::axis_transformation::SWAP_XY);
+  gtl::transform(pt, tr);
+  assert(gtl::equivalence(pt, gtl::construct<Point>(30, 10)));
+    
+  gtl::transformation<int> tr2 = tr.inverse();
+  assert(tr == tr2); //SWAP_XY is its own inverse transform
+    
+  gtl::transform(pt, tr2);
+  assert(gtl::equivalence(pt, pt2)); //the two points are equal again
+    
+  gtl::move(pt, o, 10); //move pt 10 units in y
+  assert(gtl::euclidean_distance(pt, pt2) == 10.0f);
+    
+  gtl::move(pt, o.get_perpendicular(), 10); //move pt 10 units in x
+  assert(gtl::manhattan_distance(pt, pt2) == 20);
+}
+    
+//Now lets declare our own point type
+//Bjarne says that if a class doesn't maintain an
+//invariant just use a struct.
+struct CPoint {
+  int x;
+  int y;
+};
+    
+//There, nice a simple...but wait, it doesn't do anything
+//how do we use it to do all the things a point needs to do?
+    
+    
+//First we register it as a point with boost polygon
+namespace boost { namespace polygon {
+    template <>
+    struct geometry_concept<CPoint> { typedef point_concept type; };
+ 
+    
+    //Then we specialize the gtl point traits for our point type
+    template <>
+    struct point_traits<CPoint> {
+      typedef int coordinate_type;
+    
+      static inline coordinate_type get(const CPoint& point, 
+					orientation_2d orient) {
+	if(orient == HORIZONTAL)
+	  return point.x;
+	return point.y;
+      }
+    };
+    
+    template <>
+    struct point_mutable_traits<CPoint> {
+      typedef int coordinate_type;
+
+
+      static inline void set(CPoint& point, orientation_2d orient, int value) {
+	if(orient == HORIZONTAL)
+	  point.x = value;
+	else
+	  point.y = value;
+      }
+      static inline CPoint construct(int x_value, int y_value) {
+	CPoint retval;
+	retval.x = x_value;
+	retval.y = y_value; 
+	return retval;
+      }
+    };
+  } }
+    
+//Now lets see if the CPoint works with the library functions
+int main() {
+  test_point<CPoint>(); //yay! All your testing is done for you.
+  return 0;
+}
+    
+//Now you know how to map a user type to the library point concept
+//and how to write a generic function parameterized by point type
+//using the library interfaces to access it.
diff --git a/src/boost/libs/polygon/example/gtl_custom_polygon.cpp b/src/boost/libs/polygon/example/gtl_custom_polygon.cpp
new file mode 100644
index 00000000..f42dea1d
--- /dev/null
+++ b/src/boost/libs/polygon/example/gtl_custom_polygon.cpp
@@ -0,0 +1,146 @@
+/*
+Copyright 2008 Intel Corporation
+
+Use, modification and distribution are 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 <boost/polygon/polygon.hpp>
+#include <cassert>
+#include <list>
+namespace gtl = boost::polygon;
+using namespace boost::polygon::operators;
+
+//first lets turn our polygon usage code into a generic
+//function parameterized by polygon type
+template <typename Polygon>
+void test_polygon() {
+  //lets construct a 10x10 rectangle shaped polygon
+  typedef typename gtl::polygon_traits<Polygon>::point_type Point;
+  Point pts[] = {gtl::construct<Point>(0, 0),
+		 gtl::construct<Point>(10, 0),
+		 gtl::construct<Point>(10, 10),
+		 gtl::construct<Point>(0, 10) };
+  Polygon poly;
+  gtl::set_points(poly, pts, pts+4);
+
+  //now lets see what we can do with this polygon
+  assert(gtl::area(poly) == 100.0f);
+  assert(gtl::contains(poly, gtl::construct<Point>(5, 5)));
+  assert(!gtl::contains(poly, gtl::construct<Point>(15, 5)));
+  gtl::rectangle_data<int> rect;
+  assert(gtl::extents(rect, poly)); //get bounding box of poly
+  assert(gtl::equivalence(rect, poly)); //hey, that's slick
+  assert(gtl::winding(poly) == gtl::COUNTERCLOCKWISE);
+  assert(gtl::perimeter(poly) == 40.0f);
+
+  //add 5 to all coords of poly
+  gtl::convolve(poly, gtl::construct<Point>(5, 5));
+  //multiply all coords of poly by 2
+  gtl::scale_up(poly, 2);
+  gtl::set_points(rect, gtl::point_data<int>(10, 10),
+		  gtl::point_data<int>(30, 30));
+  assert(gtl::equivalence(poly, rect));
+}
+
+//Now lets declare our own polygon class
+//Oops, we need a point class to support our polygon, lets borrow
+//the CPoint example
+struct CPoint {
+  int x;
+  int y;
+};
+
+//we have to get CPoint working with boost polygon to make our polygon
+//that uses CPoint working with boost polygon
+namespace boost { namespace polygon {
+    template <>
+    struct geometry_concept<CPoint> { typedef point_concept type; };
+    template <>
+    struct point_traits<CPoint> {
+      typedef int coordinate_type;
+
+      static inline coordinate_type get(const CPoint& point, 
+					orientation_2d orient) {
+	if(orient == HORIZONTAL)
+	  return point.x;
+	return point.y;
+      }
+    };
+
+    template <>
+    struct point_mutable_traits<CPoint> {
+      typedef int coordinate_type;
+
+      static inline void set(CPoint& point, orientation_2d orient, int value) {
+	if(orient == HORIZONTAL)
+	  point.x = value;
+	else
+	  point.y = value;
+      }
+      static inline CPoint construct(int x_value, int y_value) {
+	CPoint retval;
+	retval.x = x_value;
+	retval.y = y_value; 
+	return retval;
+      }
+    };
+  } }
+
+//I'm lazy and use the stl everywhere to avoid writing my own classes
+//my toy polygon is a std::list<CPoint>
+typedef std::list<CPoint> CPolygon;
+
+//we need to specialize our polygon concept mapping in boost polygon
+namespace boost { namespace polygon {
+    //first register CPolygon as a polygon_concept type
+    template <>
+    struct geometry_concept<CPolygon>{ typedef polygon_concept type; };
+
+    template <>
+    struct polygon_traits<CPolygon> {
+      typedef int coordinate_type;
+      typedef CPolygon::const_iterator iterator_type;
+      typedef CPoint point_type;
+
+      // Get the begin iterator
+      static inline iterator_type begin_points(const CPolygon& t) {
+	return t.begin();
+      }
+
+      // Get the end iterator
+      static inline iterator_type end_points(const CPolygon& t) {
+	return t.end();
+      }
+
+      // Get the number of sides of the polygon
+      static inline std::size_t size(const CPolygon& t) {
+	return t.size();
+      }
+
+      // Get the winding direction of the polygon
+      static inline winding_direction winding(const CPolygon& t) {
+	return unknown_winding;
+      }
+    };
+
+    template <>
+    struct polygon_mutable_traits<CPolygon> {
+      //expects stl style iterators
+      template <typename iT>
+      static inline CPolygon& set_points(CPolygon& t, 
+					 iT input_begin, iT input_end) {
+	t.clear();
+	t.insert(t.end(), input_begin, input_end);
+	return t;
+      }
+
+    };
+  } }
+
+//now there's nothing left to do but test that our polygon
+//works with library interfaces
+int main() {
+  test_polygon<CPolygon>(); //woot!
+  return 0;
+}
diff --git a/src/boost/libs/polygon/example/gtl_custom_polygon_set.cpp b/src/boost/libs/polygon/example/gtl_custom_polygon_set.cpp
new file mode 100644
index 00000000..4599031f
--- /dev/null
+++ b/src/boost/libs/polygon/example/gtl_custom_polygon_set.cpp
@@ -0,0 +1,203 @@
+/*
+Copyright 2008 Intel Corporation
+
+Use, modification and distribution are 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 <boost/polygon/polygon.hpp>
+#include <list>
+#include <time.h>
+#include <cassert>
+#include <deque>
+#include <iostream>
+namespace gtl = boost::polygon;
+using namespace boost::polygon::operators;
+
+//once again we make our usage of the library generic
+//and parameterize it on the polygon set type
+template <typename PolygonSet>
+void test_polygon_set() {
+  using namespace gtl; 
+  PolygonSet ps;
+  ps += rectangle_data<int>(0, 0, 10, 10);
+  PolygonSet ps2;
+  ps2 += rectangle_data<int>(5, 5, 15, 15);
+  PolygonSet ps3;
+  assign(ps3, ps * ps2); 
+  PolygonSet ps4;
+  ps4 += ps + ps2;
+  assert(area(ps4) == area(ps) + area(ps2) - area(ps3));
+  assert(equivalence((ps + ps2) - (ps * ps2), ps ^ ps2));
+  rectangle_data<int> rect;
+  assert(extents(rect, ps ^ ps2));
+  assert(area(rect) == 225);
+  assert(area(rect ^ (ps ^ ps2)) == area(rect) - area(ps ^ ps2)); 
+}
+
+//first thing is first, lets include all the code from previous examples
+
+//the CPoint example
+struct CPoint {
+  int x;
+  int y;
+};
+
+namespace boost { namespace polygon {
+    template <>
+    struct geometry_concept<CPoint> { typedef point_concept type; };
+    template <>
+    struct point_traits<CPoint> {
+      typedef int coordinate_type;
+
+      static inline coordinate_type get(const CPoint& point, 
+					orientation_2d orient) {
+	if(orient == HORIZONTAL)
+	  return point.x;
+	return point.y;
+      }
+    };
+
+    template <>
+    struct point_mutable_traits<CPoint> {
+      typedef int coordinate_type;
+
+      static inline void set(CPoint& point, orientation_2d orient, int value) {
+	if(orient == HORIZONTAL)
+	  point.x = value;
+	else
+	  point.y = value;
+      }
+      static inline CPoint construct(int x_value, int y_value) {
+	CPoint retval;
+	retval.x = x_value;
+	retval.y = y_value; 
+	return retval;
+      }
+    };
+  } }
+
+//the CPolygon example
+typedef std::list<CPoint> CPolygon;
+
+//we need to specialize our polygon concept mapping in boost polygon
+namespace boost { namespace polygon {
+    //first register CPolygon as a polygon_concept type
+    template <>
+    struct geometry_concept<CPolygon>{ typedef polygon_concept type; };
+
+    template <>
+    struct polygon_traits<CPolygon> {
+      typedef int coordinate_type;
+      typedef CPolygon::const_iterator iterator_type;
+      typedef CPoint point_type;
+
+      // Get the begin iterator
+      static inline iterator_type begin_points(const CPolygon& t) {
+	return t.begin();
+      }
+
+      // Get the end iterator
+      static inline iterator_type end_points(const CPolygon& t) {
+	return t.end();
+      }
+
+      // Get the number of sides of the polygon
+      static inline std::size_t size(const CPolygon& t) {
+	return t.size();
+      }
+
+      // Get the winding direction of the polygon
+      static inline winding_direction winding(const CPolygon& t) {
+	return unknown_winding;
+      }
+    };
+
+    template <>
+    struct polygon_mutable_traits<CPolygon> {
+      //expects stl style iterators
+      template <typename iT>
+      static inline CPolygon& set_points(CPolygon& t, 
+					 iT input_begin, iT input_end) {
+	t.clear();
+	while(input_begin != input_end) {
+	  t.push_back(CPoint());
+	  gtl::assign(t.back(), *input_begin);
+	  ++input_begin;
+	}
+	return t;
+      }
+
+    };
+  } }
+
+//OK, finally we get to declare our own polygon set type
+typedef std::deque<CPolygon> CPolygonSet;
+
+//deque isn't automatically a polygon set in the library
+//because it is a standard container there is a shortcut
+//for mapping it to polygon set concept, but I'll do it
+//the long way that you would use in the general case.
+namespace boost { namespace polygon {
+    //first we register CPolygonSet as a polygon set
+    template <>
+    struct geometry_concept<CPolygonSet> { typedef polygon_set_concept type; };
+
+    //next we map to the concept through traits
+    template <>
+    struct polygon_set_traits<CPolygonSet> {
+      typedef int coordinate_type;
+      typedef CPolygonSet::const_iterator iterator_type;
+      typedef CPolygonSet operator_arg_type;
+
+      static inline iterator_type begin(const CPolygonSet& polygon_set) {
+	return polygon_set.begin();
+      }
+
+      static inline iterator_type end(const CPolygonSet& polygon_set) {
+	return polygon_set.end();
+      }
+
+      //don't worry about these, just return false from them
+      static inline bool clean(const CPolygonSet& polygon_set) { return false; }
+      static inline bool sorted(const CPolygonSet& polygon_set) { return false; }
+    };
+
+    template <>
+    struct polygon_set_mutable_traits<CPolygonSet> {
+      template <typename input_iterator_type>
+      static inline void set(CPolygonSet& polygon_set, input_iterator_type input_begin, input_iterator_type input_end) {
+	polygon_set.clear();
+	//this is kind of cheesy. I am copying the unknown input geometry
+	//into my own polygon set and then calling get to populate the
+	//deque
+	polygon_set_data<int> ps;
+	ps.insert(input_begin, input_end);
+	ps.get(polygon_set);
+	//if you had your own odd-ball polygon set you would probably have
+	//to iterate through each polygon at this point and do something
+	//extra
+      }
+    };
+} }
+
+int main() {
+  long long c1 = clock();
+  for(int i = 0; i < 1000; ++i) 
+    test_polygon_set<CPolygonSet>();
+  long long c2 = clock();
+  for(int i = 0; i < 1000; ++i) 
+    test_polygon_set<gtl::polygon_set_data<int> >();
+  long long c3 = clock();
+  long long diff1 = c2 - c1;
+  long long diff2 = c3 - c2;
+  if(diff1 > 0 && diff2)
+    std::cout << "library polygon_set_data is " << float(diff1)/float(diff2) << "X faster than custom polygon set deque of CPolygon" << std::endl;
+  else
+    std::cout << "operation was too fast" << std::endl;
+  return 0;
+}
+
+//Now you know how to map your own data type to polygon set concept
+//Now you also know how to make your application code that operates on geometry
+//data type agnostic from point through polygon set
diff --git a/src/boost/libs/polygon/example/input_data/polygon/polygon_001.txt b/src/boost/libs/polygon/example/input_data/polygon/polygon_001.txt
new file mode 100644
index 00000000..5bbb057e
--- /dev/null
+++ b/src/boost/libs/polygon/example/input_data/polygon/polygon_001.txt
@@ -0,0 +1,10 @@
+0
+8
+0 0 -3 5
+-3 5 2 10
+2 10 4 6
+4 6 10 12
+10 12 13 6
+13 6 11 1
+11 1 5 1
+5 1 0 0
+\ No newline at end of file
diff --git a/src/boost/libs/polygon/example/input_data/polygon/polygon_002.txt b/src/boost/libs/polygon/example/input_data/polygon/polygon_002.txt
new file mode 100644
index 00000000..486bd911
--- /dev/null
+++ b/src/boost/libs/polygon/example/input_data/polygon/polygon_002.txt
@@ -0,0 +1,16 @@
+0
+14
+0 0 -3 5
+-3 5 2 10
+2 10 4 6
+4 6 10 12
+10 12 13 6
+13 6 11 1
+11 1 5 1
+5 1 0 0
+1 2 0 5
+0 5 5 2
+5 2 1 2
+10 3 8 6
+8 6 10 8
+10 8 10 3
+\ No newline at end of file
diff --git a/src/boost/libs/polygon/example/input_data/polygon/polygon_003.txt b/src/boost/libs/polygon/example/input_data/polygon/polygon_003.txt
new file mode 100644
index 00000000..42924605
--- /dev/null
+++ b/src/boost/libs/polygon/example/input_data/polygon/polygon_003.txt
@@ -0,0 +1,10 @@
+0
+8
+0 0 0 8
+0 8 4 12
+4 12 9 13
+9 13 13 13
+13 13 13 4
+13 4 10 0
+10 0 5 -1
+5 -1 0 0
+\ No newline at end of file
diff --git a/src/boost/libs/polygon/example/input_data/polygon/polygon_004.txt b/src/boost/libs/polygon/example/input_data/polygon/polygon_004.txt
new file mode 100644
index 00000000..bb5a50bd
--- /dev/null
+++ b/src/boost/libs/polygon/example/input_data/polygon/polygon_004.txt
@@ -0,0 +1,10 @@
+0
+8
+0 0 0 8
+0 8 4 12
+4 12 9 13
+9 13 7 7
+7 7 13 4
+13 4 10 0
+10 0 5 -1
+5 -1 0 0
+\ No newline at end of file
diff --git a/src/boost/libs/polygon/example/input_data/polygon/polygon_005.txt b/src/boost/libs/polygon/example/input_data/polygon/polygon_005.txt
new file mode 100644
index 00000000..7825f926
--- /dev/null
+++ b/src/boost/libs/polygon/example/input_data/polygon/polygon_005.txt
@@ -0,0 +1,8 @@
+0
+6
+0 0 10 0
+10 0 16 -6
+16 -6 22 0
+22 0 22 -12
+22 -12 10 -12
+10 -12 0 0
+\ No newline at end of file
diff --git a/src/boost/libs/polygon/example/input_data/polygon/polygon_006.txt b/src/boost/libs/polygon/example/input_data/polygon/polygon_006.txt
new file mode 100644
index 00000000..064dded3
--- /dev/null
+++ b/src/boost/libs/polygon/example/input_data/polygon/polygon_006.txt
@@ -0,0 +1,9 @@
+0
+7
+0 0 0 10
+0 10 6 10
+6 10 10 7
+10 7 14 10
+14 10 20 10
+20 10 20 0
+20 0 0 0
+\ No newline at end of file
diff --git a/src/boost/libs/polygon/example/input_data/polygon/polygon_007.txt b/src/boost/libs/polygon/example/input_data/polygon/polygon_007.txt
new file mode 100644
index 00000000..af811fe6
--- /dev/null
+++ b/src/boost/libs/polygon/example/input_data/polygon/polygon_007.txt
@@ -0,0 +1,14 @@
+0
+12
+0 0 8 3
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diff --git a/src/boost/libs/polygon/example/input_data/polygon/polygon_008.txt b/src/boost/libs/polygon/example/input_data/polygon/polygon_008.txt
new file mode 100644
index 00000000..65985418
--- /dev/null
+++ b/src/boost/libs/polygon/example/input_data/polygon/polygon_008.txt
@@ -0,0 +1,12 @@
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diff --git a/src/boost/libs/polygon/example/input_data/polygon/polygon_009.txt b/src/boost/libs/polygon/example/input_data/polygon/polygon_009.txt
new file mode 100644
index 00000000..863e93fb
--- /dev/null
+++ b/src/boost/libs/polygon/example/input_data/polygon/polygon_009.txt
@@ -0,0 +1,6 @@
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diff --git a/src/boost/libs/polygon/example/input_data/polygon/polygon_010.txt b/src/boost/libs/polygon/example/input_data/polygon/polygon_010.txt
new file mode 100644
index 00000000..3dc6cf98
--- /dev/null
+++ b/src/boost/libs/polygon/example/input_data/polygon/polygon_010.txt
@@ -0,0 +1,25 @@
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diff --git a/src/boost/libs/polygon/example/input_data/polygon/polygon_011.txt b/src/boost/libs/polygon/example/input_data/polygon/polygon_011.txt
new file mode 100644
index 00000000..34ec6a54
--- /dev/null
+++ b/src/boost/libs/polygon/example/input_data/polygon/polygon_011.txt
@@ -0,0 +1,11 @@
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diff --git a/src/boost/libs/polygon/example/input_data/polygon/polygon_012.txt b/src/boost/libs/polygon/example/input_data/polygon/polygon_012.txt
new file mode 100644
index 00000000..c338d977
--- /dev/null
+++ b/src/boost/libs/polygon/example/input_data/polygon/polygon_012.txt
@@ -0,0 +1,14 @@
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diff --git a/src/boost/libs/polygon/example/input_data/primary/primary_001.txt b/src/boost/libs/polygon/example/input_data/primary/primary_001.txt
new file mode 100644
index 00000000..5b553c0d
--- /dev/null
+++ b/src/boost/libs/polygon/example/input_data/primary/primary_001.txt
@@ -0,0 +1,2 @@
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+0 0
+\ No newline at end of file
diff --git a/src/boost/libs/polygon/example/input_data/primary/primary_002.txt b/src/boost/libs/polygon/example/input_data/primary/primary_002.txt
new file mode 100644
index 00000000..0b455147
--- /dev/null
+++ b/src/boost/libs/polygon/example/input_data/primary/primary_002.txt
@@ -0,0 +1,3 @@
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diff --git a/src/boost/libs/polygon/example/input_data/primary/primary_003.txt b/src/boost/libs/polygon/example/input_data/primary/primary_003.txt
new file mode 100644
index 00000000..fdbbf7a7
--- /dev/null
+++ b/src/boost/libs/polygon/example/input_data/primary/primary_003.txt
@@ -0,0 +1,3 @@
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diff --git a/src/boost/libs/polygon/example/input_data/primary/primary_004.txt b/src/boost/libs/polygon/example/input_data/primary/primary_004.txt
new file mode 100644
index 00000000..c64ab212
--- /dev/null
+++ b/src/boost/libs/polygon/example/input_data/primary/primary_004.txt
@@ -0,0 +1,3 @@
+2
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diff --git a/src/boost/libs/polygon/example/input_data/primary/primary_005.txt b/src/boost/libs/polygon/example/input_data/primary/primary_005.txt
new file mode 100644
index 00000000..bbadf557
--- /dev/null
+++ b/src/boost/libs/polygon/example/input_data/primary/primary_005.txt
@@ -0,0 +1,11 @@
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diff --git a/src/boost/libs/polygon/example/input_data/primary/primary_006.txt b/src/boost/libs/polygon/example/input_data/primary/primary_006.txt
new file mode 100644
index 00000000..eb7aea42
--- /dev/null
+++ b/src/boost/libs/polygon/example/input_data/primary/primary_006.txt
@@ -0,0 +1,11 @@
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diff --git a/src/boost/libs/polygon/example/input_data/primary/primary_007.txt b/src/boost/libs/polygon/example/input_data/primary/primary_007.txt
new file mode 100644
index 00000000..88ac7796
--- /dev/null
+++ b/src/boost/libs/polygon/example/input_data/primary/primary_007.txt
@@ -0,0 +1,12 @@
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diff --git a/src/boost/libs/polygon/example/input_data/primary/primary_008.txt b/src/boost/libs/polygon/example/input_data/primary/primary_008.txt
new file mode 100644
index 00000000..9f4b6f05
--- /dev/null
+++ b/src/boost/libs/polygon/example/input_data/primary/primary_008.txt
@@ -0,0 +1,11 @@
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diff --git a/src/boost/libs/polygon/example/input_data/primary/primary_009.txt b/src/boost/libs/polygon/example/input_data/primary/primary_009.txt
new file mode 100644
index 00000000..99f5f0c5
--- /dev/null
+++ b/src/boost/libs/polygon/example/input_data/primary/primary_009.txt
@@ -0,0 +1,11 @@
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diff --git a/src/boost/libs/polygon/example/input_data/primary/primary_010.txt b/src/boost/libs/polygon/example/input_data/primary/primary_010.txt
new file mode 100644
index 00000000..4dbbd936
--- /dev/null
+++ b/src/boost/libs/polygon/example/input_data/primary/primary_010.txt
@@ -0,0 +1,4 @@
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diff --git a/src/boost/libs/polygon/example/input_data/primary/primary_011.txt b/src/boost/libs/polygon/example/input_data/primary/primary_011.txt
new file mode 100644
index 00000000..2573f612
--- /dev/null
+++ b/src/boost/libs/polygon/example/input_data/primary/primary_011.txt
@@ -0,0 +1,4 @@
+3
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diff --git a/src/boost/libs/polygon/example/input_data/primary/primary_012.txt b/src/boost/libs/polygon/example/input_data/primary/primary_012.txt
new file mode 100644
index 00000000..a14a3f91
--- /dev/null
+++ b/src/boost/libs/polygon/example/input_data/primary/primary_012.txt
@@ -0,0 +1,5 @@
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diff --git a/src/boost/libs/polygon/example/input_data/primary/primary_013.txt b/src/boost/libs/polygon/example/input_data/primary/primary_013.txt
new file mode 100644
index 00000000..494c527c
--- /dev/null
+++ b/src/boost/libs/polygon/example/input_data/primary/primary_013.txt
@@ -0,0 +1,14 @@
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diff --git a/src/boost/libs/polygon/example/input_data/primary/primary_014.txt b/src/boost/libs/polygon/example/input_data/primary/primary_014.txt
new file mode 100644
index 00000000..72b1accd
--- /dev/null
+++ b/src/boost/libs/polygon/example/input_data/primary/primary_014.txt
@@ -0,0 +1,13 @@
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diff --git a/src/boost/libs/polygon/example/input_data/primary/primary_015.txt b/src/boost/libs/polygon/example/input_data/primary/primary_015.txt
new file mode 100644
index 00000000..f228af2a
--- /dev/null
+++ b/src/boost/libs/polygon/example/input_data/primary/primary_015.txt
@@ -0,0 +1,5 @@
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diff --git a/src/boost/libs/polygon/example/input_data/primary/primary_016.txt b/src/boost/libs/polygon/example/input_data/primary/primary_016.txt
new file mode 100644
index 00000000..4deb8868
--- /dev/null
+++ b/src/boost/libs/polygon/example/input_data/primary/primary_016.txt
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diff --git a/src/boost/libs/polygon/example/input_data/primary/primary_017.txt b/src/boost/libs/polygon/example/input_data/primary/primary_017.txt
new file mode 100644
index 00000000..57e3cccd
--- /dev/null
+++ b/src/boost/libs/polygon/example/input_data/primary/primary_017.txt
@@ -0,0 +1,3 @@
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diff --git a/src/boost/libs/polygon/example/input_data/primary/primary_018.txt b/src/boost/libs/polygon/example/input_data/primary/primary_018.txt
new file mode 100644
index 00000000..013611c3
--- /dev/null
+++ b/src/boost/libs/polygon/example/input_data/primary/primary_018.txt
@@ -0,0 +1,6 @@
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diff --git a/src/boost/libs/polygon/example/input_data/primary/primary_019.txt b/src/boost/libs/polygon/example/input_data/primary/primary_019.txt
new file mode 100644
index 00000000..4068a329
--- /dev/null
+++ b/src/boost/libs/polygon/example/input_data/primary/primary_019.txt
@@ -0,0 +1,5 @@
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diff --git a/src/boost/libs/polygon/example/input_data/primary/primary_020.txt b/src/boost/libs/polygon/example/input_data/primary/primary_020.txt
new file mode 100644
index 00000000..c1e81b4b
--- /dev/null
+++ b/src/boost/libs/polygon/example/input_data/primary/primary_020.txt
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diff --git a/src/boost/libs/polygon/example/input_data/primary/primary_021.txt b/src/boost/libs/polygon/example/input_data/primary/primary_021.txt
new file mode 100644
index 00000000..c4212531
--- /dev/null
+++ b/src/boost/libs/polygon/example/input_data/primary/primary_021.txt
@@ -0,0 +1,4 @@
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diff --git a/src/boost/libs/polygon/example/input_data/primary/primary_022.txt b/src/boost/libs/polygon/example/input_data/primary/primary_022.txt
new file mode 100644
index 00000000..07849421
--- /dev/null
+++ b/src/boost/libs/polygon/example/input_data/primary/primary_022.txt
@@ -0,0 +1,5 @@
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diff --git a/src/boost/libs/polygon/example/input_data/primary/primary_023.txt b/src/boost/libs/polygon/example/input_data/primary/primary_023.txt
new file mode 100644
index 00000000..75cb14a6
--- /dev/null
+++ b/src/boost/libs/polygon/example/input_data/primary/primary_023.txt
@@ -0,0 +1,6 @@
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diff --git a/src/boost/libs/polygon/example/input_data/primary/primary_024.txt b/src/boost/libs/polygon/example/input_data/primary/primary_024.txt
new file mode 100644
index 00000000..66ac2d8b
--- /dev/null
+++ b/src/boost/libs/polygon/example/input_data/primary/primary_024.txt
@@ -0,0 +1,4 @@
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diff --git a/src/boost/libs/polygon/example/input_data/primary/primary_025.txt b/src/boost/libs/polygon/example/input_data/primary/primary_025.txt
new file mode 100644
index 00000000..a6eeea27
--- /dev/null
+++ b/src/boost/libs/polygon/example/input_data/primary/primary_025.txt
@@ -0,0 +1,5 @@
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diff --git a/src/boost/libs/polygon/example/input_data/primary/primary_026.txt b/src/boost/libs/polygon/example/input_data/primary/primary_026.txt
new file mode 100644
index 00000000..834264e3
--- /dev/null
+++ b/src/boost/libs/polygon/example/input_data/primary/primary_026.txt
@@ -0,0 +1,6 @@
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diff --git a/src/boost/libs/polygon/example/input_data/primary/primary_027.txt b/src/boost/libs/polygon/example/input_data/primary/primary_027.txt
new file mode 100644
index 00000000..710e8a8c
--- /dev/null
+++ b/src/boost/libs/polygon/example/input_data/primary/primary_027.txt
@@ -0,0 +1,12 @@
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diff --git a/src/boost/libs/polygon/example/input_data/primary/primary_028.txt b/src/boost/libs/polygon/example/input_data/primary/primary_028.txt
new file mode 100644
index 00000000..1ed194d6
--- /dev/null
+++ b/src/boost/libs/polygon/example/input_data/primary/primary_028.txt
@@ -0,0 +1,5 @@
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diff --git a/src/boost/libs/polygon/example/input_data/primary/primary_029.txt b/src/boost/libs/polygon/example/input_data/primary/primary_029.txt
new file mode 100644
index 00000000..3ca79ed6
--- /dev/null
+++ b/src/boost/libs/polygon/example/input_data/primary/primary_029.txt
@@ -0,0 +1,10 @@
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diff --git a/src/boost/libs/polygon/example/input_data/primary/primary_030.txt b/src/boost/libs/polygon/example/input_data/primary/primary_030.txt
new file mode 100644
index 00000000..fde6cac2
--- /dev/null
+++ b/src/boost/libs/polygon/example/input_data/primary/primary_030.txt
@@ -0,0 +1,14 @@
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diff --git a/src/boost/libs/polygon/example/input_data/primary/primary_031.txt b/src/boost/libs/polygon/example/input_data/primary/primary_031.txt
new file mode 100644
index 00000000..d60d5cee
--- /dev/null
+++ b/src/boost/libs/polygon/example/input_data/primary/primary_031.txt
@@ -0,0 +1,15 @@
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diff --git a/src/boost/libs/polygon/example/input_data/primary/primary_032.txt b/src/boost/libs/polygon/example/input_data/primary/primary_032.txt
new file mode 100644
index 00000000..40617faa
--- /dev/null
+++ b/src/boost/libs/polygon/example/input_data/primary/primary_032.txt
@@ -0,0 +1,6 @@
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diff --git a/src/boost/libs/polygon/example/input_data/primary/primary_033.txt b/src/boost/libs/polygon/example/input_data/primary/primary_033.txt
new file mode 100644
index 00000000..65514eed
--- /dev/null
+++ b/src/boost/libs/polygon/example/input_data/primary/primary_033.txt
@@ -0,0 +1,7 @@
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diff --git a/src/boost/libs/polygon/example/input_data/primary/primary_034.txt b/src/boost/libs/polygon/example/input_data/primary/primary_034.txt
new file mode 100644
index 00000000..d4e0b97d
--- /dev/null
+++ b/src/boost/libs/polygon/example/input_data/primary/primary_034.txt
@@ -0,0 +1,6 @@
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diff --git a/src/boost/libs/polygon/example/input_data/primary/primary_035.txt b/src/boost/libs/polygon/example/input_data/primary/primary_035.txt
new file mode 100644
index 00000000..dce66e78
--- /dev/null
+++ b/src/boost/libs/polygon/example/input_data/primary/primary_035.txt
@@ -0,0 +1,22 @@
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diff --git a/src/boost/libs/polygon/example/input_data/primary/primary_036.txt b/src/boost/libs/polygon/example/input_data/primary/primary_036.txt
new file mode 100644
index 00000000..c73b72cd
--- /dev/null
+++ b/src/boost/libs/polygon/example/input_data/primary/primary_036.txt
@@ -0,0 +1,102 @@
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diff --git a/src/boost/libs/polygon/example/input_data/primary/primary_039.txt b/src/boost/libs/polygon/example/input_data/primary/primary_039.txt
new file mode 100644
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new file mode 100644
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new file mode 100644
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new file mode 100644
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new file mode 100644
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new file mode 100644
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diff --git a/src/boost/libs/polygon/example/input_data/primary/primary_068.txt b/src/boost/libs/polygon/example/input_data/primary/primary_068.txt
new file mode 100644
index 00000000..0684c815
--- /dev/null
+++ b/src/boost/libs/polygon/example/input_data/primary/primary_068.txt
@@ -0,0 +1,98 @@
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+../../SOC_2010/sweepline/libs/sweepline/test/sweepline_test.cpp(703): error in "segment_random_test2<double>": check verify_output(test_output_small, NO_HALF_EDGE_INTERSECTIONS) == true failed [false != true]
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diff --git a/src/boost/libs/polygon/example/input_data/primary/primary_069.txt b/src/boost/libs/polygon/example/input_data/primary/primary_069.txt
new file mode 100644
index 00000000..0fbf4bcb
--- /dev/null
+++ b/src/boost/libs/polygon/example/input_data/primary/primary_069.txt
@@ -0,0 +1,83 @@
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diff --git a/src/boost/libs/polygon/example/input_data/primary/primary_070.txt b/src/boost/libs/polygon/example/input_data/primary/primary_070.txt
new file mode 100644
index 00000000..df3e8f92
--- /dev/null
+++ b/src/boost/libs/polygon/example/input_data/primary/primary_070.txt
@@ -0,0 +1,5 @@
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diff --git a/src/boost/libs/polygon/example/input_data/primary/primary_071.txt b/src/boost/libs/polygon/example/input_data/primary/primary_071.txt
new file mode 100644
index 00000000..a09a125c
--- /dev/null
+++ b/src/boost/libs/polygon/example/input_data/primary/primary_071.txt
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+../../SOC_2010/sweepline/libs/sweepline/test/sweepline_test.cpp(723): error in "segment_random_test2<double>": check test_output_small.num_vertex_records() == test_output_large.num_vertex_records() failed [476 != 526]
+../../SOC_2010/sweepline/libs/sweepline/test/sweepline_test.cpp(725): error in "segment_random_test2<double>": check test_output_small.num_edge_records() == test_output_large.num_edge_records() failed [734 != 795]
diff --git a/src/boost/libs/polygon/example/input_data/primary/primary_072.txt b/src/boost/libs/polygon/example/input_data/primary/primary_072.txt
new file mode 100644
index 00000000..a43fcf3a
--- /dev/null
+++ b/src/boost/libs/polygon/example/input_data/primary/primary_072.txt
@@ -0,0 +1,5 @@
+0
+3
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+\ No newline at end of file
diff --git a/src/boost/libs/polygon/example/input_data/random/random_001.txt b/src/boost/libs/polygon/example/input_data/random/random_001.txt
new file mode 100644
index 00000000..04742bb0
--- /dev/null
+++ b/src/boost/libs/polygon/example/input_data/random/random_001.txt
@@ -0,0 +1,11 @@
+10
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diff --git a/src/boost/libs/polygon/example/input_data/random/random_002.txt b/src/boost/libs/polygon/example/input_data/random/random_002.txt
new file mode 100644
index 00000000..72905d18
--- /dev/null
+++ b/src/boost/libs/polygon/example/input_data/random/random_002.txt
@@ -0,0 +1,11 @@
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diff --git a/src/boost/libs/polygon/example/input_data/random/random_003.txt b/src/boost/libs/polygon/example/input_data/random/random_003.txt
new file mode 100644
index 00000000..395e24d5
--- /dev/null
+++ b/src/boost/libs/polygon/example/input_data/random/random_003.txt
@@ -0,0 +1,11 @@
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diff --git a/src/boost/libs/polygon/example/input_data/random/random_004.txt b/src/boost/libs/polygon/example/input_data/random/random_004.txt
new file mode 100644
index 00000000..b287e932
--- /dev/null
+++ b/src/boost/libs/polygon/example/input_data/random/random_004.txt
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diff --git a/src/boost/libs/polygon/example/input_data/random/random_005.txt b/src/boost/libs/polygon/example/input_data/random/random_005.txt
new file mode 100644
index 00000000..427ee9cf
--- /dev/null
+++ b/src/boost/libs/polygon/example/input_data/random/random_005.txt
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diff --git a/src/boost/libs/polygon/example/input_data/random/random_006.txt b/src/boost/libs/polygon/example/input_data/random/random_006.txt
new file mode 100644
index 00000000..700f222b
--- /dev/null
+++ b/src/boost/libs/polygon/example/input_data/random/random_006.txt
@@ -0,0 +1,6 @@
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diff --git a/src/boost/libs/polygon/example/input_data/random/random_007.txt b/src/boost/libs/polygon/example/input_data/random/random_007.txt
new file mode 100644
index 00000000..f4270e3e
--- /dev/null
+++ b/src/boost/libs/polygon/example/input_data/random/random_007.txt
@@ -0,0 +1,6 @@
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diff --git a/src/boost/libs/polygon/example/voronoi_advanced_tutorial.cpp b/src/boost/libs/polygon/example/voronoi_advanced_tutorial.cpp
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@@ -0,0 +1,145 @@
+// Boost.Polygon library voronoi_advanced_tutorial.cpp file
+
+//          Copyright Andrii Sydorchuk 2010-2012.
+// Distributed under 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)
+
+// See http://www.boost.org for updates, documentation, and revision history.
+
+#include <cmath>
+#include <cstdio>
+#include <ctime>
+#include <string>
+
+// This will work properly only with GCC compiler.
+#include <ieee754.h>
+typedef long double fpt80;
+
+// Random generators and distributions.
+#include <boost/random/mersenne_twister.hpp>
+#include <boost/random/uniform_int_distribution.hpp>
+#include <boost/timer/timer.hpp>
+
+#include <boost/polygon/voronoi.hpp>
+using namespace boost::polygon;
+
+struct my_ulp_comparison {
+  enum Result {
+    LESS = -1,
+    EQUAL = 0,
+    MORE = 1
+  };
+
+  Result operator()(fpt80 a, fpt80 b, unsigned int maxUlps) const {
+    if (a == b)
+      return EQUAL;
+    if (a > b) {
+      Result res = operator()(b, a, maxUlps);
+      if (res == EQUAL) return res;
+      return (res == LESS) ? MORE : LESS;
+    }
+    ieee854_long_double lhs, rhs;
+    lhs.d = a;
+    rhs.d = b;
+    if (lhs.ieee.negative ^ rhs.ieee.negative)
+      return lhs.ieee.negative ? LESS : MORE;
+    boost::uint64_t le = lhs.ieee.exponent; le =
+        (le << 32) + lhs.ieee.mantissa0;
+    boost::uint64_t re = rhs.ieee.exponent; re =
+        (re << 32) + rhs.ieee.mantissa0;
+    if (lhs.ieee.negative) {
+      if (le - 1 > re)
+        return LESS;
+      le = (le == re) ? 0 : 1;
+      le = (le << 32) + lhs.ieee.mantissa1;
+      re = rhs.ieee.mantissa1;
+      return (re + maxUlps < le) ? LESS : EQUAL;
+    } else {
+      if (le + 1 < re)
+        return LESS;
+      le = lhs.ieee.mantissa0;
+      re = (le == re) ? 0 : 1;
+      re = (re << 32) + rhs.ieee.mantissa1;
+      return (le + maxUlps < re) ? LESS : EQUAL;
+    }
+  }
+};
+
+struct my_fpt_converter {
+  template <typename T>
+  fpt80 operator()(const T& that) const {
+    return static_cast<fpt80>(that);
+  }
+
+  template <std::size_t N>
+  fpt80 operator()(const typename detail::extended_int<N> &that) const {
+    fpt80 result = 0.0;
+    for (std::size_t i = 1; i <= (std::min)((std::size_t)3, that.size()); ++i) {
+      if (i != 1)
+        result *= static_cast<fpt80>(0x100000000ULL);
+      result += that.chunks()[that.size() - i];
+    }
+    return (that.count() < 0) ? -result : result;
+  }
+};
+
+// Voronoi diagram traits.
+struct my_voronoi_diagram_traits {
+  typedef fpt80 coordinate_type;
+  typedef voronoi_cell<coordinate_type> cell_type;
+  typedef voronoi_vertex<coordinate_type> vertex_type;
+  typedef voronoi_edge<coordinate_type> edge_type;
+  typedef class {
+  public:
+    enum { ULPS = 128 };
+    bool operator()(const vertex_type &v1, const vertex_type &v2) const {
+      return (ulp_cmp(v1.x(), v2.x(), ULPS) == my_ulp_comparison::EQUAL &&
+              ulp_cmp(v1.y(), v2.y(), ULPS) == my_ulp_comparison::EQUAL);
+    }
+  private:
+    my_ulp_comparison ulp_cmp;
+  } vertex_equality_predicate_type;
+};
+
+// Voronoi ctype traits for 48-bit signed integer input coordinates.
+struct my_voronoi_ctype_traits {
+  typedef boost::int64_t int_type;
+  typedef detail::extended_int<3> int_x2_type;
+  typedef detail::extended_int<3> uint_x2_type;
+  typedef detail::extended_int<128> big_int_type;
+  typedef fpt80 fpt_type;
+  typedef fpt80 efpt_type;
+  typedef my_ulp_comparison ulp_cmp_type;
+  typedef my_fpt_converter to_fpt_converter_type;
+  typedef my_fpt_converter to_efpt_converter_type;
+};
+
+const unsigned int GENERATED_POINTS = 100;
+const boost::int64_t MAX = 0x1000000000000LL;
+
+int main() {
+  boost::mt19937_64 gen(std::time(0));
+  boost::random::uniform_int_distribution<boost::int64_t> distr(-MAX, MAX-1);
+  voronoi_builder<boost::int64_t, my_voronoi_ctype_traits> vb;
+  for (size_t i = 0; i < GENERATED_POINTS; ++i) {
+    boost::int64_t x = distr(gen);
+    boost::int64_t y = distr(gen);
+    vb.insert_point(x, y);
+  }
+
+  printf("Constructing Voronoi diagram of %d points...\n", GENERATED_POINTS);
+  boost::timer::cpu_timer t;
+  voronoi_diagram<fpt80, my_voronoi_diagram_traits> vd;
+  t.start();
+  vb.construct(&vd);
+  boost::timer::cpu_times times = t.elapsed();
+  std::string ftime = boost::timer::format(times, 5, "%w");
+
+  printf("Construction done in: %s seconds.\n", ftime.c_str());
+  printf("Resulting Voronoi graph has the following stats:\n");
+  printf("Number of Voronoi cells: %lu.\n", vd.num_cells());
+  printf("Number of Voronoi vertices: %lu.\n", vd.num_vertices());
+  printf("Number of Voronoi edges: %lu.\n", vd.num_edges());
+  return 0;
+}
diff --git a/src/boost/libs/polygon/example/voronoi_basic_tutorial.cpp b/src/boost/libs/polygon/example/voronoi_basic_tutorial.cpp
new file mode 100644
index 00000000..84f0e468
--- /dev/null
+++ b/src/boost/libs/polygon/example/voronoi_basic_tutorial.cpp
@@ -0,0 +1,198 @@
+// Boost.Polygon library voronoi_basic_tutorial.cpp file
+
+//          Copyright Andrii Sydorchuk 2010-2012.
+// Distributed under 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)
+
+// See http://www.boost.org for updates, documentation, and revision history.
+
+#include <cstdio>
+#include <vector>
+
+#include <boost/polygon/voronoi.hpp>
+using boost::polygon::voronoi_builder;
+using boost::polygon::voronoi_diagram;
+using boost::polygon::x;
+using boost::polygon::y;
+using boost::polygon::low;
+using boost::polygon::high;
+
+#include "voronoi_visual_utils.hpp"
+
+struct Point {
+  int a;
+  int b;
+  Point(int x, int y) : a(x), b(y) {}
+};
+
+struct Segment {
+  Point p0;
+  Point p1;
+  Segment(int x1, int y1, int x2, int y2) : p0(x1, y1), p1(x2, y2) {}
+};
+
+namespace boost {
+namespace polygon {
+
+template <>
+struct geometry_concept<Point> {
+  typedef point_concept type;
+};
+
+template <>
+struct point_traits<Point> {
+  typedef int coordinate_type;
+
+  static inline coordinate_type get(
+      const Point& point, orientation_2d orient) {
+    return (orient == HORIZONTAL) ? point.a : point.b;
+  }
+};
+
+template <>
+struct geometry_concept<Segment> {
+  typedef segment_concept type;
+};
+
+template <>
+struct segment_traits<Segment> {
+  typedef int coordinate_type;
+  typedef Point point_type;
+
+  static inline point_type get(const Segment& segment, direction_1d dir) {
+    return dir.to_int() ? segment.p1 : segment.p0;
+  }
+};
+}  // polygon
+}  // boost
+
+// Traversing Voronoi edges using edge iterator.
+int iterate_primary_edges1(const voronoi_diagram<double>& vd) {
+  int result = 0;
+  for (voronoi_diagram<double>::const_edge_iterator it = vd.edges().begin();
+       it != vd.edges().end(); ++it) {
+    if (it->is_primary())
+      ++result;
+  }
+  return result;
+}
+
+// Traversing Voronoi edges using cell iterator.
+int iterate_primary_edges2(const voronoi_diagram<double> &vd) {
+  int result = 0;
+  for (voronoi_diagram<double>::const_cell_iterator it = vd.cells().begin();
+       it != vd.cells().end(); ++it) {
+    const voronoi_diagram<double>::cell_type& cell = *it;
+    const voronoi_diagram<double>::edge_type* edge = cell.incident_edge();
+    // This is convenient way to iterate edges around Voronoi cell.
+    do {
+      if (edge->is_primary())
+        ++result;
+      edge = edge->next();
+    } while (edge != cell.incident_edge());
+  }
+  return result;
+}
+
+// Traversing Voronoi edges using vertex iterator.
+// As opposite to the above two functions this one will not iterate through
+// edges without finite endpoints and will iterate only once through edges
+// with single finite endpoint.
+int iterate_primary_edges3(const voronoi_diagram<double> &vd) {
+  int result = 0;
+  for (voronoi_diagram<double>::const_vertex_iterator it =
+       vd.vertices().begin(); it != vd.vertices().end(); ++it) {
+    const voronoi_diagram<double>::vertex_type& vertex = *it;
+    const voronoi_diagram<double>::edge_type* edge = vertex.incident_edge();
+    // This is convenient way to iterate edges around Voronoi vertex.
+    do {
+      if (edge->is_primary())
+        ++result;
+      edge = edge->rot_next();
+    } while (edge != vertex.incident_edge());
+  }
+  return result;
+}
+
+int main() {
+  // Preparing Input Geometries.
+  std::vector<Point> points;
+  points.push_back(Point(0, 0));
+  points.push_back(Point(1, 6));
+  std::vector<Segment> segments;
+  segments.push_back(Segment(-4, 5, 5, -1));
+  segments.push_back(Segment(3, -11, 13, -1));
+
+  // Construction of the Voronoi Diagram.
+  voronoi_diagram<double> vd;
+  construct_voronoi(points.begin(), points.end(),
+                    segments.begin(), segments.end(),
+                    &vd);
+
+  // Traversing Voronoi Graph.
+  {
+    printf("Traversing Voronoi graph.\n");
+    printf("Number of visited primary edges using edge iterator: %d\n",
+        iterate_primary_edges1(vd));
+    printf("Number of visited primary edges using cell iterator: %d\n",
+        iterate_primary_edges2(vd));
+    printf("Number of visited primary edges using vertex iterator: %d\n",
+        iterate_primary_edges3(vd));
+    printf("\n");
+  }
+
+  // Using color member of the Voronoi primitives to store the average number
+  // of edges around each cell (including secondary edges).
+  {
+    printf("Number of edges (including secondary) around the Voronoi cells:\n");
+    for (voronoi_diagram<double>::const_edge_iterator it = vd.edges().begin();
+         it != vd.edges().end(); ++it) {
+      std::size_t cnt = it->cell()->color();
+      it->cell()->color(cnt + 1);
+    }
+    for (voronoi_diagram<double>::const_cell_iterator it = vd.cells().begin();
+         it != vd.cells().end(); ++it) {
+      printf("%lu ", it->color());
+    }
+    printf("\n");
+    printf("\n");
+  }
+
+  // Linking Voronoi cells with input geometries.
+  {
+    unsigned int cell_index = 0;
+    for (voronoi_diagram<double>::const_cell_iterator it = vd.cells().begin();
+         it != vd.cells().end(); ++it) {
+      if (it->contains_point()) {
+        if (it->source_category() ==
+            boost::polygon::SOURCE_CATEGORY_SINGLE_POINT) {
+          std::size_t index = it->source_index();
+          Point p = points[index];
+          printf("Cell #%u contains a point: (%d, %d).\n",
+                 cell_index, x(p), y(p));
+        } else if (it->source_category() ==
+                   boost::polygon::SOURCE_CATEGORY_SEGMENT_START_POINT) {
+          std::size_t index = it->source_index() - points.size();
+          Point p0 = low(segments[index]);
+          printf("Cell #%u contains segment start point: (%d, %d).\n",
+                 cell_index, x(p0), y(p0));
+        } else if (it->source_category() ==
+                   boost::polygon::SOURCE_CATEGORY_SEGMENT_END_POINT) {
+          std::size_t index = it->source_index() - points.size();
+          Point p1 = high(segments[index]);
+          printf("Cell #%u contains segment end point: (%d, %d).\n",
+                 cell_index, x(p1), y(p1));
+        }
+      } else {
+        std::size_t index = it->source_index() - points.size();
+        Point p0 = low(segments[index]);
+        Point p1 = high(segments[index]);
+        printf("Cell #%u contains a segment: ((%d, %d), (%d, %d)). \n",
+               cell_index, x(p0), y(p0), x(p1), y(p1));
+      }
+      ++cell_index;
+    }
+  }
+  return 0;
+}
diff --git a/src/boost/libs/polygon/example/voronoi_visual_utils.hpp b/src/boost/libs/polygon/example/voronoi_visual_utils.hpp
new file mode 100644
index 00000000..4ef2e9dc
--- /dev/null
+++ b/src/boost/libs/polygon/example/voronoi_visual_utils.hpp
@@ -0,0 +1,186 @@
+// Boost.Polygon library voronoi_graphic_utils.hpp header file
+
+//          Copyright Andrii Sydorchuk 2010-2012.
+// Distributed under 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)
+
+// See http://www.boost.org for updates, documentation, and revision history.
+
+#ifndef BOOST_POLYGON_VORONOI_VISUAL_UTILS
+#define BOOST_POLYGON_VORONOI_VISUAL_UTILS
+
+#include <stack>
+#include <vector>
+
+#include <boost/polygon/isotropy.hpp>
+#include <boost/polygon/point_concept.hpp>
+#include <boost/polygon/segment_concept.hpp>
+#include <boost/polygon/rectangle_concept.hpp>
+
+namespace boost {
+namespace polygon {
+// Utilities class, that contains set of routines handful for visualization.
+template <typename CT>
+class voronoi_visual_utils {
+ public:
+  // Discretize parabolic Voronoi edge.
+  // Parabolic Voronoi edges are always formed by one point and one segment
+  // from the initial input set.
+  //
+  // Args:
+  //   point: input point.
+  //   segment: input segment.
+  //   max_dist: maximum discretization distance.
+  //   discretization: point discretization of the given Voronoi edge.
+  //
+  // Template arguments:
+  //   InCT: coordinate type of the input geometries (usually integer).
+  //   Point: point type, should model point concept.
+  //   Segment: segment type, should model segment concept.
+  //
+  // Important:
+  //   discretization should contain both edge endpoints initially.
+  template <class InCT1, class InCT2,
+            template<class> class Point,
+            template<class> class Segment>
+  static
+  typename enable_if<
+    typename gtl_and<
+      typename gtl_if<
+        typename is_point_concept<
+          typename geometry_concept< Point<InCT1> >::type
+        >::type
+      >::type,
+      typename gtl_if<
+        typename is_segment_concept<
+          typename geometry_concept< Segment<InCT2> >::type
+        >::type
+      >::type
+    >::type,
+    void
+  >::type discretize(
+      const Point<InCT1>& point,
+      const Segment<InCT2>& segment,
+      const CT max_dist,
+      std::vector< Point<CT> >* discretization) {
+    // Apply the linear transformation to move start point of the segment to
+    // the point with coordinates (0, 0) and the direction of the segment to
+    // coincide the positive direction of the x-axis.
+    CT segm_vec_x = cast(x(high(segment))) - cast(x(low(segment)));
+    CT segm_vec_y = cast(y(high(segment))) - cast(y(low(segment)));
+    CT sqr_segment_length = segm_vec_x * segm_vec_x + segm_vec_y * segm_vec_y;
+
+    // Compute x-coordinates of the endpoints of the edge
+    // in the transformed space.
+    CT projection_start = sqr_segment_length *
+        get_point_projection((*discretization)[0], segment);
+    CT projection_end = sqr_segment_length *
+        get_point_projection((*discretization)[1], segment);
+
+    // Compute parabola parameters in the transformed space.
+    // Parabola has next representation:
+    // f(x) = ((x-rot_x)^2 + rot_y^2) / (2.0*rot_y).
+    CT point_vec_x = cast(x(point)) - cast(x(low(segment)));
+    CT point_vec_y = cast(y(point)) - cast(y(low(segment)));
+    CT rot_x = segm_vec_x * point_vec_x + segm_vec_y * point_vec_y;
+    CT rot_y = segm_vec_x * point_vec_y - segm_vec_y * point_vec_x;
+
+    // Save the last point.
+    Point<CT> last_point = (*discretization)[1];
+    discretization->pop_back();
+
+    // Use stack to avoid recursion.
+    std::stack<CT> point_stack;
+    point_stack.push(projection_end);
+    CT cur_x = projection_start;
+    CT cur_y = parabola_y(cur_x, rot_x, rot_y);
+
+    // Adjust max_dist parameter in the transformed space.
+    const CT max_dist_transformed = max_dist * max_dist * sqr_segment_length;
+    while (!point_stack.empty()) {
+      CT new_x = point_stack.top();
+      CT new_y = parabola_y(new_x, rot_x, rot_y);
+
+      // Compute coordinates of the point of the parabola that is
+      // furthest from the current line segment.
+      CT mid_x = (new_y - cur_y) / (new_x - cur_x) * rot_y + rot_x;
+      CT mid_y = parabola_y(mid_x, rot_x, rot_y);
+
+      // Compute maximum distance between the given parabolic arc
+      // and line segment that discretize it.
+      CT dist = (new_y - cur_y) * (mid_x - cur_x) -
+          (new_x - cur_x) * (mid_y - cur_y);
+      dist = dist * dist / ((new_y - cur_y) * (new_y - cur_y) +
+          (new_x - cur_x) * (new_x - cur_x));
+      if (dist <= max_dist_transformed) {
+        // Distance between parabola and line segment is less than max_dist.
+        point_stack.pop();
+        CT inter_x = (segm_vec_x * new_x - segm_vec_y * new_y) /
+            sqr_segment_length + cast(x(low(segment)));
+        CT inter_y = (segm_vec_x * new_y + segm_vec_y * new_x) /
+            sqr_segment_length + cast(y(low(segment)));
+        discretization->push_back(Point<CT>(inter_x, inter_y));
+        cur_x = new_x;
+        cur_y = new_y;
+      } else {
+        point_stack.push(mid_x);
+      }
+    }
+
+    // Update last point.
+    discretization->back() = last_point;
+  }
+
+ private:
+  // Compute y(x) = ((x - a) * (x - a) + b * b) / (2 * b).
+  static CT parabola_y(CT x, CT a, CT b) {
+    return ((x - a) * (x - a) + b * b) / (b + b);
+  }
+
+  // Get normalized length of the distance between:
+  //   1) point projection onto the segment
+  //   2) start point of the segment
+  // Return this length divided by the segment length. This is made to avoid
+  // sqrt computation during transformation from the initial space to the
+  // transformed one and vice versa. The assumption is made that projection of
+  // the point lies between the start-point and endpoint of the segment.
+  template <class InCT,
+            template<class> class Point,
+            template<class> class Segment>
+  static
+  typename enable_if<
+    typename gtl_and<
+      typename gtl_if<
+        typename is_point_concept<
+          typename geometry_concept< Point<int> >::type
+        >::type
+      >::type,
+      typename gtl_if<
+        typename is_segment_concept<
+          typename geometry_concept< Segment<long> >::type
+        >::type
+      >::type
+    >::type,
+    CT
+  >::type get_point_projection(
+      const Point<CT>& point, const Segment<InCT>& segment) {
+    CT segment_vec_x = cast(x(high(segment))) - cast(x(low(segment)));
+    CT segment_vec_y = cast(y(high(segment))) - cast(y(low(segment)));
+    CT point_vec_x = x(point) - cast(x(low(segment)));
+    CT point_vec_y = y(point) - cast(y(low(segment)));
+    CT sqr_segment_length =
+        segment_vec_x * segment_vec_x + segment_vec_y * segment_vec_y;
+    CT vec_dot = segment_vec_x * point_vec_x + segment_vec_y * point_vec_y;
+    return vec_dot / sqr_segment_length;
+  }
+
+  template <typename InCT>
+  static CT cast(const InCT& value) {
+    return static_cast<CT>(value);
+  }
+};
+}
+}
+
+#endif  // BOOST_POLYGON_VORONOI_VISUAL_UTILS
diff --git a/src/boost/libs/polygon/example/voronoi_visualizer.cpp b/src/boost/libs/polygon/example/voronoi_visualizer.cpp
new file mode 100644
index 00000000..3049c387
--- /dev/null
+++ b/src/boost/libs/polygon/example/voronoi_visualizer.cpp
@@ -0,0 +1,509 @@
+// Boost.Polygon library voronoi_visualizer.cpp file
+
+//          Copyright Andrii Sydorchuk 2010-2012.
+// Distributed under 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)
+
+// See http://www.boost.org for updates, documentation, and revision history.
+
+#include <iostream>
+#include <vector>
+
+#include <QtOpenGL/QGLWidget>
+#include <QtGui/QtGui>
+
+#include <boost/polygon/polygon.hpp>
+#include <boost/polygon/voronoi.hpp>
+using namespace boost::polygon;
+
+#include "voronoi_visual_utils.hpp"
+
+class GLWidget : public QGLWidget {
+  Q_OBJECT
+
+ public:
+  explicit GLWidget(QMainWindow* parent = NULL) :
+      QGLWidget(QGLFormat(QGL::SampleBuffers), parent),
+      primary_edges_only_(false),
+      internal_edges_only_(false) {
+    startTimer(40);
+  }
+
+  QSize sizeHint() const {
+    return QSize(600, 600);
+  }
+
+  void build(const QString& file_path) {
+    // Clear all containers.
+    clear();
+
+    // Read data.
+    read_data(file_path);
+
+    // No data, don't proceed.
+    if (!brect_initialized_) {
+      return;
+    }
+
+    // Construct bounding rectangle.
+    construct_brect();
+
+    // Construct voronoi diagram.
+    construct_voronoi(
+        point_data_.begin(), point_data_.end(),
+        segment_data_.begin(), segment_data_.end(),
+        &vd_);
+
+    // Color exterior edges.
+    for (const_edge_iterator it = vd_.edges().begin();
+         it != vd_.edges().end(); ++it) {
+      if (!it->is_finite()) {
+        color_exterior(&(*it));
+      }
+    }
+
+    // Update view port.
+    update_view_port();
+  }
+
+  void show_primary_edges_only() {
+    primary_edges_only_ ^= true;
+  }
+
+  void show_internal_edges_only() {
+    internal_edges_only_ ^= true;
+  }
+
+ protected:
+  void initializeGL() {
+    glHint(GL_POINT_SMOOTH_HINT, GL_NICEST);
+    glBlendFunc(GL_SRC_ALPHA, GL_ONE_MINUS_SRC_ALPHA);
+    glEnable(GL_BLEND);
+    glEnable(GL_POINT_SMOOTH);
+  }
+
+  void paintGL() {
+    qglClearColor(QColor::fromRgb(255, 255, 255));
+    glClear(GL_COLOR_BUFFER_BIT | GL_DEPTH_BUFFER_BIT);
+
+    draw_points();
+    draw_segments();
+    draw_vertices();
+    draw_edges();
+  }
+
+  void resizeGL(int width, int height) {
+    int side = qMin(width, height);
+    glViewport((width - side) / 2, (height - side) / 2, side, side);
+  }
+
+  void timerEvent(QTimerEvent* e) {
+    update();
+  }
+
+ private:
+  typedef double coordinate_type;
+  typedef point_data<coordinate_type> point_type;
+  typedef segment_data<coordinate_type> segment_type;
+  typedef rectangle_data<coordinate_type> rect_type;
+  typedef voronoi_builder<int> VB;
+  typedef voronoi_diagram<coordinate_type> VD;
+  typedef VD::cell_type cell_type;
+  typedef VD::cell_type::source_index_type source_index_type;
+  typedef VD::cell_type::source_category_type source_category_type;
+  typedef VD::edge_type edge_type;
+  typedef VD::cell_container_type cell_container_type;
+  typedef VD::cell_container_type vertex_container_type;
+  typedef VD::edge_container_type edge_container_type;
+  typedef VD::const_cell_iterator const_cell_iterator;
+  typedef VD::const_vertex_iterator const_vertex_iterator;
+  typedef VD::const_edge_iterator const_edge_iterator;
+
+  static const std::size_t EXTERNAL_COLOR = 1;
+
+  void clear() {
+    brect_initialized_ = false;
+    point_data_.clear();
+    segment_data_.clear();
+    vd_.clear();
+  }
+
+  void read_data(const QString& file_path) {
+    QFile data(file_path);
+    if (!data.open(QFile::ReadOnly)) {
+      QMessageBox::warning(
+          this, tr("Voronoi Visualizer"),
+          tr("Disable to open file ") + file_path);
+    }
+    QTextStream in_stream(&data);
+    std::size_t num_points, num_segments;
+    int x1, y1, x2, y2;
+    in_stream >> num_points;
+    for (std::size_t i = 0; i < num_points; ++i) {
+      in_stream >> x1 >> y1;
+      point_type p(x1, y1);
+      update_brect(p);
+      point_data_.push_back(p);
+    }
+    in_stream >> num_segments;
+    for (std::size_t i = 0; i < num_segments; ++i) {
+      in_stream >> x1 >> y1 >> x2 >> y2;
+      point_type lp(x1, y1);
+      point_type hp(x2, y2);
+      update_brect(lp);
+      update_brect(hp);
+      segment_data_.push_back(segment_type(lp, hp));
+    }
+    in_stream.flush();
+  }
+
+  void update_brect(const point_type& point) {
+    if (brect_initialized_) {
+      encompass(brect_, point);
+    } else {
+      set_points(brect_, point, point);
+      brect_initialized_ = true;
+    }
+  }
+
+  void construct_brect() {
+    double side = (std::max)(xh(brect_) - xl(brect_), yh(brect_) - yl(brect_));
+    center(shift_, brect_);
+    set_points(brect_, shift_, shift_);
+    bloat(brect_, side * 1.2);
+  }
+
+  void color_exterior(const VD::edge_type* edge) {
+    if (edge->color() == EXTERNAL_COLOR) {
+      return;
+    }
+    edge->color(EXTERNAL_COLOR);
+    edge->twin()->color(EXTERNAL_COLOR);
+    const VD::vertex_type* v = edge->vertex1();
+    if (v == NULL || !edge->is_primary()) {
+      return;
+    }
+    v->color(EXTERNAL_COLOR);
+    const VD::edge_type* e = v->incident_edge();
+    do {
+      color_exterior(e);
+      e = e->rot_next();
+    } while (e != v->incident_edge());
+  }
+
+  void update_view_port() {
+    glMatrixMode(GL_PROJECTION);
+    glLoadIdentity();
+    rect_type view_rect = brect_;
+    deconvolve(view_rect, shift_);
+    glOrtho(xl(view_rect), xh(view_rect),
+            yl(view_rect), yh(view_rect),
+            -1.0, 1.0);
+    glMatrixMode(GL_MODELVIEW);
+  }
+
+  void draw_points() {
+    // Draw input points and endpoints of the input segments.
+    glColor3f(0.0f, 0.5f, 1.0f);
+    glPointSize(9);
+    glBegin(GL_POINTS);
+    for (std::size_t i = 0; i < point_data_.size(); ++i) {
+      point_type point = point_data_[i];
+      deconvolve(point, shift_);
+      glVertex2f(point.x(), point.y());
+    }
+    for (std::size_t i = 0; i < segment_data_.size(); ++i) {
+      point_type lp = low(segment_data_[i]);
+      lp = deconvolve(lp, shift_);
+      glVertex2f(lp.x(), lp.y());
+      point_type hp = high(segment_data_[i]);
+      hp = deconvolve(hp, shift_);
+      glVertex2f(hp.x(), hp.y());
+    }
+    glEnd();
+  }
+
+  void draw_segments() {
+    // Draw input segments.
+    glColor3f(0.0f, 0.5f, 1.0f);
+    glLineWidth(2.7f);
+    glBegin(GL_LINES);
+    for (std::size_t i = 0; i < segment_data_.size(); ++i) {
+      point_type lp = low(segment_data_[i]);
+      lp = deconvolve(lp, shift_);
+      glVertex2f(lp.x(), lp.y());
+      point_type hp = high(segment_data_[i]);
+      hp = deconvolve(hp, shift_);
+      glVertex2f(hp.x(), hp.y());
+    }
+    glEnd();
+  }
+
+  void draw_vertices() {
+    // Draw voronoi vertices.
+    glColor3f(0.0f, 0.0f, 0.0f);
+    glPointSize(6);
+    glBegin(GL_POINTS);
+    for (const_vertex_iterator it = vd_.vertices().begin();
+         it != vd_.vertices().end(); ++it) {
+      if (internal_edges_only_ && (it->color() == EXTERNAL_COLOR)) {
+        continue;
+      }
+      point_type vertex(it->x(), it->y());
+      vertex = deconvolve(vertex, shift_);
+      glVertex2f(vertex.x(), vertex.y());
+    }
+    glEnd();
+  }
+  void draw_edges() {
+    // Draw voronoi edges.
+    glColor3f(0.0f, 0.0f, 0.0f);
+    glLineWidth(1.7f);
+    for (const_edge_iterator it = vd_.edges().begin();
+         it != vd_.edges().end(); ++it) {
+      if (primary_edges_only_ && !it->is_primary()) {
+        continue;
+      }
+      if (internal_edges_only_ && (it->color() == EXTERNAL_COLOR)) {
+        continue;
+      }
+      std::vector<point_type> samples;
+      if (!it->is_finite()) {
+        clip_infinite_edge(*it, &samples);
+      } else {
+        point_type vertex0(it->vertex0()->x(), it->vertex0()->y());
+        samples.push_back(vertex0);
+        point_type vertex1(it->vertex1()->x(), it->vertex1()->y());
+        samples.push_back(vertex1);
+        if (it->is_curved()) {
+          sample_curved_edge(*it, &samples);
+        }
+      }
+      glBegin(GL_LINE_STRIP);
+      for (std::size_t i = 0; i < samples.size(); ++i) {
+        point_type vertex = deconvolve(samples[i], shift_);
+        glVertex2f(vertex.x(), vertex.y());
+      }
+      glEnd();
+    }
+  }
+
+  void clip_infinite_edge(
+      const edge_type& edge, std::vector<point_type>* clipped_edge) {
+    const cell_type& cell1 = *edge.cell();
+    const cell_type& cell2 = *edge.twin()->cell();
+    point_type origin, direction;
+    // Infinite edges could not be created by two segment sites.
+    if (cell1.contains_point() && cell2.contains_point()) {
+      point_type p1 = retrieve_point(cell1);
+      point_type p2 = retrieve_point(cell2);
+      origin.x((p1.x() + p2.x()) * 0.5);
+      origin.y((p1.y() + p2.y()) * 0.5);
+      direction.x(p1.y() - p2.y());
+      direction.y(p2.x() - p1.x());
+    } else {
+      origin = cell1.contains_segment() ?
+          retrieve_point(cell2) :
+          retrieve_point(cell1);
+      segment_type segment = cell1.contains_segment() ?
+          retrieve_segment(cell1) :
+          retrieve_segment(cell2);
+      coordinate_type dx = high(segment).x() - low(segment).x();
+      coordinate_type dy = high(segment).y() - low(segment).y();
+      if ((low(segment) == origin) ^ cell1.contains_point()) {
+        direction.x(dy);
+        direction.y(-dx);
+      } else {
+        direction.x(-dy);
+        direction.y(dx);
+      }
+    }
+    coordinate_type side = xh(brect_) - xl(brect_);
+    coordinate_type koef =
+        side / (std::max)(fabs(direction.x()), fabs(direction.y()));
+    if (edge.vertex0() == NULL) {
+      clipped_edge->push_back(point_type(
+          origin.x() - direction.x() * koef,
+          origin.y() - direction.y() * koef));
+    } else {
+      clipped_edge->push_back(
+          point_type(edge.vertex0()->x(), edge.vertex0()->y()));
+    }
+    if (edge.vertex1() == NULL) {
+      clipped_edge->push_back(point_type(
+          origin.x() + direction.x() * koef,
+          origin.y() + direction.y() * koef));
+    } else {
+      clipped_edge->push_back(
+          point_type(edge.vertex1()->x(), edge.vertex1()->y()));
+    }
+  }
+
+  void sample_curved_edge(
+      const edge_type& edge,
+      std::vector<point_type>* sampled_edge) {
+    coordinate_type max_dist = 1E-3 * (xh(brect_) - xl(brect_));
+    point_type point = edge.cell()->contains_point() ?
+        retrieve_point(*edge.cell()) :
+        retrieve_point(*edge.twin()->cell());
+    segment_type segment = edge.cell()->contains_point() ?
+        retrieve_segment(*edge.twin()->cell()) :
+        retrieve_segment(*edge.cell());
+    voronoi_visual_utils<coordinate_type>::discretize(
+        point, segment, max_dist, sampled_edge);
+  }
+
+  point_type retrieve_point(const cell_type& cell) {
+    source_index_type index = cell.source_index();
+    source_category_type category = cell.source_category();
+    if (category == SOURCE_CATEGORY_SINGLE_POINT) {
+      return point_data_[index];
+    }
+    index -= point_data_.size();
+    if (category == SOURCE_CATEGORY_SEGMENT_START_POINT) {
+      return low(segment_data_[index]);
+    } else {
+      return high(segment_data_[index]);
+    }
+  }
+
+  segment_type retrieve_segment(const cell_type& cell) {
+    source_index_type index = cell.source_index() - point_data_.size();
+    return segment_data_[index];
+  }
+
+  point_type shift_;
+  std::vector<point_type> point_data_;
+  std::vector<segment_type> segment_data_;
+  rect_type brect_;
+  VB vb_;
+  VD vd_;
+  bool brect_initialized_;
+  bool primary_edges_only_;
+  bool internal_edges_only_;
+};
+
+class MainWindow : public QWidget {
+  Q_OBJECT
+
+ public:
+  MainWindow() {
+    glWidget_ = new GLWidget();
+    file_dir_ = QDir(QDir::currentPath(), tr("*.txt"));
+    file_name_ = tr("");
+
+    QHBoxLayout* centralLayout = new QHBoxLayout;
+    centralLayout->addWidget(glWidget_);
+    centralLayout->addLayout(create_file_layout());
+    setLayout(centralLayout);
+
+    update_file_list();
+    setWindowTitle(tr("Voronoi Visualizer"));
+    layout()->setSizeConstraint(QLayout::SetFixedSize);
+  }
+
+ private slots:
+  void primary_edges_only() {
+    glWidget_->show_primary_edges_only();
+  }
+
+  void internal_edges_only() {
+    glWidget_->show_internal_edges_only();
+  }
+
+  void browse() {
+    QString new_path = QFileDialog::getExistingDirectory(
+        0, tr("Choose Directory"), file_dir_.absolutePath());
+    if (new_path.isEmpty()) {
+      return;
+    }
+    file_dir_.setPath(new_path);
+    update_file_list();
+  }
+
+  void build() {
+    file_name_ = file_list_->currentItem()->text();
+    QString file_path = file_dir_.filePath(file_name_);
+    message_label_->setText("Building...");
+    glWidget_->build(file_path);
+    message_label_->setText("Double click the item to build voronoi diagram:");
+    setWindowTitle(tr("Voronoi Visualizer - ") + file_path);
+  }
+
+  void print_scr() {
+    if (!file_name_.isEmpty()) {
+      QImage screenshot = glWidget_->grabFrameBuffer(true);
+      QString output_file = file_dir_.absolutePath() + tr("/") +
+          file_name_.left(file_name_.indexOf('.')) + tr(".png");
+      screenshot.save(output_file, 0, -1);
+    }
+  }
+
+ private:
+  QGridLayout* create_file_layout() {
+    QGridLayout* file_layout = new QGridLayout;
+
+    message_label_ = new QLabel("Double click item to build voronoi diagram:");
+
+    file_list_ = new QListWidget();
+    file_list_->connect(file_list_,
+                        SIGNAL(itemDoubleClicked(QListWidgetItem*)),
+                        this,
+                        SLOT(build()));
+
+    QCheckBox* primary_checkbox = new QCheckBox("Show primary edges only.");
+    connect(primary_checkbox, SIGNAL(clicked()),
+        this, SLOT(primary_edges_only()));
+
+    QCheckBox* internal_checkbox = new QCheckBox("Show internal edges only.");
+    connect(internal_checkbox, SIGNAL(clicked()),
+        this, SLOT(internal_edges_only()));
+
+    QPushButton* browse_button =
+        new QPushButton(tr("Browse Input Directory"));
+    connect(browse_button, SIGNAL(clicked()), this, SLOT(browse()));
+    browse_button->setMinimumHeight(50);
+
+    QPushButton* print_scr_button = new QPushButton(tr("Make Screenshot"));
+    connect(print_scr_button, SIGNAL(clicked()), this, SLOT(print_scr()));
+    print_scr_button->setMinimumHeight(50);
+
+    file_layout->addWidget(message_label_, 0, 0);
+    file_layout->addWidget(file_list_, 1, 0);
+    file_layout->addWidget(primary_checkbox, 2, 0);
+    file_layout->addWidget(internal_checkbox, 3, 0);
+    file_layout->addWidget(browse_button, 4, 0);
+    file_layout->addWidget(print_scr_button, 5, 0);
+
+    return file_layout;
+  }
+
+  void update_file_list() {
+    QFileInfoList list = file_dir_.entryInfoList();
+    file_list_->clear();
+    if (file_dir_.count() == 0) {
+      return;
+    }
+    QFileInfoList::const_iterator it;
+    for (it = list.begin(); it != list.end(); it++) {
+      file_list_->addItem(it->fileName());
+    }
+    file_list_->setCurrentRow(0);
+  }
+
+  QDir file_dir_;
+  QString file_name_;
+  GLWidget* glWidget_;
+  QListWidget* file_list_;
+  QLabel* message_label_;
+};
+
+int main(int argc, char* argv[]) {
+  QApplication app(argc, argv);
+  MainWindow window;
+  window.show();
+  return app.exec();
+}
+
+#include "voronoi_visualizer.moc"
diff --git a/src/boost/libs/polygon/index.html b/src/boost/libs/polygon/index.html
new file mode 100644
index 00000000..3e6e42f3
--- /dev/null
+++ b/src/boost/libs/polygon/index.html
@@ -0,0 +1,24 @@
+<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Strict//EN"
+    "http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd">
+
+<html xmlns="http://www.w3.org/1999/xhtml" lang="en" xml:lang="en">
+<head>
+  <title>Boost.Polygon Documentation</title>
+  <meta http-equiv="Content-Type" content="text/html; charset=us-ascii" />
+  <meta http-equiv="refresh" content="0; URL=doc/index.htm" />
+</head>
+
+<body>
+  Automatic redirection failed, please go to <a href=
+  "doc/index.htm">doc/index.htm</a>
+
+<br>
+Copyright (C) 2010 Intel Corporation <br>
+<br>
+Distributed under the Boost Software License, Version 1.0. (See
+accompanying file LICENSE_1_0.txt or copy at
+<a href=http://www.boost.org/LICENSE_1_0.txt>http://www.boost.org/LICENSE_1_0.tx
+t</a>) <br>
+</body>
+</html>
+
diff --git a/src/boost/libs/polygon/meta/libraries.json b/src/boost/libs/polygon/meta/libraries.json
new file mode 100644
index 00000000..bfdf883a
--- /dev/null
+++ b/src/boost/libs/polygon/meta/libraries.json
@@ -0,0 +1,18 @@
+{
+    "key": "polygon",
+    "name": "Polygon",
+    "authors": [
+        "Lucanus Simonson",
+        "Andrii Sydorchuk"
+    ],
+    "description": "Voronoi diagram construction and booleans/clipping, resizing/offsetting and more for planar polygons with integral coordinates.",
+    "category": [
+        "Algorithms",
+        "Data",
+        "Math"
+    ],
+    "maintainers": [
+        "Lucanus Simonson <lucanus.j.simonson -at- intel.com>",
+        "Andrii Sydorchuk <sydorchuk.andriy -at- gmail.com>"
+    ]
+}
diff --git a/src/boost/libs/polygon/test/Jamfile.v2 b/src/boost/libs/polygon/test/Jamfile.v2
new file mode 100644
index 00000000..16787e3d
--- /dev/null
+++ b/src/boost/libs/polygon/test/Jamfile.v2
@@ -0,0 +1,26 @@
+# test/Jamfile.v2 controls building of Polygon Library unit tests
+#
+# Copyright (c) 2010 Intel Corporation
+#
+# 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)
+
+import testing ;
+
+run polygon_point_test.cpp ;
+run polygon_segment_test.cpp ;
+run polygon_interval_test.cpp ;
+run polygon_rectangle_test.cpp ;
+run polygon_rectangle_formation_test.cpp ;
+run polygon_set_data_test.cpp ;
+run polygon_90_data_test.cpp ;
+run gtl_boost_unit_test.cpp ;
+
+run voronoi_builder_test.cpp ;
+run voronoi_ctypes_test.cpp ;
+run voronoi_diagram_test.cpp ;
+run voronoi_geometry_type_test.cpp ;
+run voronoi_predicates_test.cpp ;
+run voronoi_robust_fpt_test.cpp ;
+run voronoi_structures_test.cpp ;
diff --git a/src/boost/libs/polygon/test/gtl_boost_unit_test.cpp b/src/boost/libs/polygon/test/gtl_boost_unit_test.cpp
new file mode 100644
index 00000000..c85d5d66
--- /dev/null
+++ b/src/boost/libs/polygon/test/gtl_boost_unit_test.cpp
@@ -0,0 +1,3866 @@
+/*
+  Copyright 2008 Intel Corporation
+
+  Use, modification and distribution are 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 <iostream>
+#define BOOST_POLYGON_NO_DEPS
+#include <boost/polygon/polygon.hpp>
+
+namespace gtl = boost::polygon;
+using namespace boost::polygon::operators;
+#include <time.h>
+#include <stdlib.h>
+
+void assert_s(bool c, std::string msg) {
+  if(!c) {
+    std::cout << msg << std::endl;
+    exit( 1);
+  }
+}
+
+namespace boost { namespace polygon{
+  void addpoly(polygon_45_set_data<int>& pset,
+               int* pts, unsigned int numpts) {
+    std::vector<point_data<int> > mppts;
+    for(unsigned int i = 0; i < numpts*2; i += 2) {
+      point_data<int>  pt(pts[i], pts[i+1]);
+      mppts.push_back(pt);
+    }
+    polygon_45_data<int> poly;
+    poly.set(mppts.begin(), mppts.end());
+    pset += poly;
+  }
+
+  template <class T>
+  std::ostream& operator << (std::ostream& o, const interval_data<T>& i)
+  {
+    return o << i.get(LOW) << ' ' << i.get(HIGH);
+  }
+  template <class T>
+  std::ostream& operator << (std::ostream& o, const point_data<T>& r)
+  {
+    return o << r.get(HORIZONTAL) << ' ' << r.get(VERTICAL);
+  }
+  template <typename T>
+  std::ostream& operator<<(std::ostream& o, const polygon_45_data<T>& poly) {
+    o << "Polygon { ";
+    for(typename polygon_45_data<T>::iterator_type itr = poly.begin();
+        itr != poly.end(); ++itr) {
+      if(itr != poly.begin()) o << ", ";
+      o << (*itr).get(HORIZONTAL) << " " << (*itr).get(VERTICAL);
+    }
+    o << " } ";
+    return o;
+  }
+  template <typename Unit>
+  inline std::ostream& operator<< (std::ostream& o, const polygon_45_set_data<Unit>& p) {
+    o << "Polygon45Set ";
+    o << " " << !p.sorted() << " " << p.dirty() << " { ";
+    for(typename polygon_45_set_data<Unit>::iterator_type itr = p.begin();
+        itr != p.end(); ++itr) {
+      o << (*itr).pt << ":";
+      for(unsigned int i = 0; i < 4; ++i) {
+        o << (*itr).count[i] << ",";
+      } o << " ";
+      //o << (*itr).first << ":" <<  (*itr).second << "; ";
+    }
+    o << "} ";
+    return o;
+  }
+
+  template <typename Unit>
+  inline std::istream& operator>> (std::istream& i, polygon_45_set_data<Unit>& p) {
+    //TODO
+    return i;
+  }
+  template <typename T>
+  std::ostream& operator << (std::ostream& o, const polygon_90_data<T>& r)
+  {
+    o << "Polygon { ";
+    for(typename polygon_90_data<T>::iterator_type itr = r.begin(); itr != r.end(); ++itr) {
+      o << *itr << ", ";
+    }
+    return o << "} ";
+  }
+
+  template <typename T>
+  std::istream& operator >> (std::istream& i, polygon_90_data<T>& r)
+  {
+    std::size_t size;
+    i >> size;
+    std::vector<T> vec;
+    vec.reserve(size);
+    for(std::size_t ii = 0; ii < size; ++ii) {
+      T coord;
+      i >> coord;
+      vec.push_back(coord);
+    }
+    r.set_compact(vec.begin(), vec.end());
+    return i;
+  }
+
+  template <typename T>
+  std::ostream& operator << (std::ostream& o, const std::vector<polygon_90_data<T> >& r) {
+    o << r.size() << ' ';
+    for(std::size_t ii = 0; ii < r.size(); ++ii) {
+      o << (r[ii]);
+    }
+    return o;
+  }
+  template <typename T>
+  std::istream& operator >> (std::istream& i, std::vector<polygon_90_data<T> >& r) {
+    std::size_t size;
+    i >> size;
+    r.clear();
+    r.reserve(size);
+    for(std::size_t ii = 0; ii < size; ++ii) {
+      polygon_90_data<T> tmp;
+      i >> tmp;
+      r.push_back(tmp);
+    }
+    return i;
+  }
+  template <typename T>
+  std::ostream& operator<<(std::ostream& o, const polygon_data<T>& poly) {
+    o << "Polygon { ";
+    for(typename polygon_data<T>::iterator_type itr = poly.begin();
+        itr != poly.end(); ++itr) {
+      if(itr != poly.begin()) o << ", ";
+      o << (*itr).get(HORIZONTAL) << " " << (*itr).get(VERTICAL);
+    }
+    o << " } ";
+    return o;
+  }
+  template <typename T>
+  std::ostream& operator << (std::ostream& o, const polygon_set_data<T>& r)
+  {
+    o << "Polygon Set Data { ";
+    for(typename polygon_set_data<T>::iterator_type itr = r.begin(); itr != r.end(); ++itr) {
+      o << "<" << (*itr).first.first << ", " << (*itr).first.second << ">:" << (*itr).second << " ";
+    }
+    o << "} ";
+    return o;
+  }
+  template <typename T>
+  std::ostream& operator<<(std::ostream& o, const polygon_90_with_holes_data<T>& poly) {
+    o << "Polygon With Holes { ";
+    for(typename polygon_90_with_holes_data<T>::iterator_type itr = poly.begin();
+        itr != poly.end(); ++itr) {
+      if(itr != poly.begin()) o << ", ";
+      o << (*itr).get(HORIZONTAL) << " " << (*itr).get(VERTICAL);
+    } o << " { ";
+    for(typename polygon_90_with_holes_data<T>::iterator_holes_type itr = poly.begin_holes();
+        itr != poly.end_holes(); ++itr) {
+      o << (*itr);
+    }
+    o << " } } ";
+    return o;
+  }
+  template <typename T>
+  std::ostream& operator<<(std::ostream& o, const polygon_45_with_holes_data<T>& poly) {
+    o << "Polygon With Holes { ";
+    for(typename polygon_45_with_holes_data<T>::iterator_type itr = poly.begin();
+        itr != poly.end(); ++itr) {
+      if(itr != poly.begin()) o << ", ";
+      o << (*itr).get(HORIZONTAL) << " " << (*itr).get(VERTICAL);
+    } o << " { ";
+    for(typename polygon_45_with_holes_data<T>::iterator_holes_type itr = poly.begin_holes();
+        itr != poly.end_holes(); ++itr) {
+      o << (*itr);
+    }
+    o << " } } ";
+    return o;
+  }
+  template <typename T>
+  std::ostream& operator<<(std::ostream& o, const polygon_with_holes_data<T>& poly) {
+    o << "Polygon With Holes { ";
+    for(typename polygon_with_holes_data<T>::iterator_type itr = poly.begin();
+        itr != poly.end(); ++itr) {
+      if(itr != poly.begin()) o << ", ";
+      o << (*itr).get(HORIZONTAL) << " " << (*itr).get(VERTICAL);
+    } o << " { ";
+    for(typename polygon_with_holes_data<T>::iterator_holes_type itr = poly.begin_holes();
+        itr != poly.end_holes(); ++itr) {
+      o << (*itr);
+    }
+    o << " } } ";
+    return o;
+  }
+  template <class T>
+  std::ostream& operator << (std::ostream& o, const rectangle_data<T>& r)
+  {
+    return o << r.get(HORIZONTAL) << ' ' << r.get(VERTICAL);
+  }
+  template <class T>
+  std::ostream& operator << (std::ostream& o, const segment_data<T>& r)
+  {
+    return o << r.get(LOW) << ' ' << r.get(HIGH);
+  }
+
+
+  template <typename T>
+  typename enable_if<typename is_polygon_90_set_type<T>::type, void>::type
+  print_is_polygon_90_set_concept(const T& ) { std::cout << "is polygon 90 set concept\n"; }
+  template <typename T>
+  typename enable_if<typename is_mutable_polygon_90_set_type<T>::type, void>::type
+  print_is_mutable_polygon_90_set_concept(const T& ) { std::cout << "is mutable polygon 90 set concept\n"; }
+  namespace boolean_op {
+    //self contained unit test for BooleanOr algorithm
+    template <typename Unit>
+    inline bool testBooleanOr() {
+      BooleanOp<int, Unit> booleanOr;
+      //test one rectangle
+      std::vector<std::pair<interval_data<Unit>, int> > container;
+      booleanOr.processInterval(container, interval_data<Unit>(0, 10), 1);
+      booleanOr.advanceScan();
+      booleanOr.processInterval(container, interval_data<Unit>(0, 10), -1);
+      if(container.size() != 2) {
+        std::cout << "Test one rectangle, wrong output size\n";
+        return false;
+      }
+      if(container[0] != std::pair<interval_data<Unit>, int>(interval_data<Unit>(0, 10), 1)) {
+        std::cout << "Test one rectangle, first output wrong: Interval(" <<
+          container[0].first << "), " << container[0].second << std::endl;
+      }
+      if(container[1] != std::pair<interval_data<Unit>, int>(interval_data<Unit>(0, 10), -1)) {
+        std::cout << "Test one rectangle, second output wrong: Interval(" <<
+          container[1].first << "), " << container[1].second << std::endl;
+      }
+
+      //test two rectangles
+      container.clear();
+      booleanOr = BooleanOp<int, Unit>();
+      booleanOr.processInterval(container, interval_data<Unit>(0, 10), 1);
+      booleanOr.advanceScan();
+      booleanOr.processInterval(container, interval_data<Unit>(5, 15), 1);
+      booleanOr.advanceScan();
+      booleanOr.processInterval(container, interval_data<Unit>(0, 10), -1);
+      booleanOr.advanceScan();
+      booleanOr.processInterval(container, interval_data<Unit>(5, 15), -1);
+      if(container.size() != 4) {
+        std::cout << "Test two rectangles, wrong output size\n";
+        for(std::size_t i = 0; i < container.size(); ++i){
+          std::cout << container[i].first << "), " << container[i].second << std::endl;
+        }
+        return false;
+      }
+      if(container[0] != std::pair<interval_data<Unit>, int>(interval_data<Unit>(0, 10), 1)) {
+        std::cout << "Test two rectangles, first output wrong: Interval(" <<
+          container[0].first << "), " << container[0].second << std::endl;
+      }
+      if(container[1] != std::pair<interval_data<Unit>, int>(interval_data<Unit>(10, 15), 1)) {
+        std::cout << "Test two rectangles, second output wrong: Interval(" <<
+          container[1].first << "), " << container[1].second << std::endl;
+      }
+      if(container[2] != std::pair<interval_data<Unit>, int>(interval_data<Unit>(0, 5), -1)) {
+        std::cout << "Test two rectangles, third output wrong: Interval(" <<
+          container[2].first << "), " << container[2].second << std::endl;
+      }
+      if(container[3] != std::pair<interval_data<Unit>, int>(interval_data<Unit>(5, 15), -1)) {
+        std::cout << "Test two rectangles, fourth output wrong: Interval(" <<
+          container[3].first << "), " << container[3].second << std::endl;
+      }
+
+      //test two rectangles
+      container.clear();
+      booleanOr = BooleanOp<int, Unit>();
+      booleanOr.processInterval(container, interval_data<Unit>(5, 15), 1);
+      booleanOr.advanceScan();
+      booleanOr.processInterval(container, interval_data<Unit>(0, 10), 1);
+      booleanOr.advanceScan();
+      booleanOr.processInterval(container, interval_data<Unit>(5, 15), -1);
+      booleanOr.advanceScan();
+      booleanOr.processInterval(container, interval_data<Unit>(0, 10), -1);
+      if(container.size() != 4) {
+        std::cout << "Test other two rectangles, wrong output size\n";
+        for(std::size_t i = 0; i < container.size(); ++i){
+          std::cout << container[i].first << "), " << container[i].second << std::endl;
+        }
+        return false;
+      }
+      if(container[0] != std::pair<interval_data<Unit>, int>(interval_data<Unit>(5, 15), 1)) {
+        std::cout << "Test other two rectangles, first output wrong: Interval(" <<
+          container[0].first << "), " << container[0].second << std::endl;
+      }
+      if(container[1] != std::pair<interval_data<Unit>, int>(interval_data<Unit>(0, 5), 1)) {
+        std::cout << "Test other two rectangles, second output wrong: Interval(" <<
+          container[1].first << "), " << container[1].second << std::endl;
+      }
+      if(container[2] != std::pair<interval_data<Unit>, int>(interval_data<Unit>(10, 15), -1)) {
+        std::cout << "Test other two rectangles, third output wrong: Interval(" <<
+          container[2].first << "), " << container[2].second << std::endl;
+      }
+      if(container[3] != std::pair<interval_data<Unit>, int>(interval_data<Unit>(0, 10), -1)) {
+        std::cout << "Test other two rectangles, fourth output wrong: Interval(" <<
+          container[3].first << "), " << container[3].second << std::endl;
+      }
+
+      //test two nonoverlapping rectangles
+      container.clear();
+      booleanOr = BooleanOp<int, Unit>();
+      booleanOr.processInterval(container, interval_data<Unit>(0, 10), 1);
+      booleanOr.advanceScan();
+      booleanOr.processInterval(container, interval_data<Unit>(15, 25), 1);
+      booleanOr.advanceScan();
+      booleanOr.processInterval(container, interval_data<Unit>(0, 10), -1);
+      booleanOr.advanceScan();
+      booleanOr.processInterval(container, interval_data<Unit>(15, 25), -1);
+      if(container.size() != 4) {
+        std::cout << "Test two nonoverlapping rectangles, wrong output size\n";
+        return false;
+      }
+      if(container[0] != std::pair<interval_data<Unit>, int>(interval_data<Unit>(0, 10), 1)) {
+        std::cout << "Test two nonoverlapping rectangles, first output wrong: Interval(" <<
+          container[0].first << "), " << container[0].second << std::endl;
+      }
+      if(container[1] != std::pair<interval_data<Unit>, int>(interval_data<Unit>(15, 25), 1)) {
+        std::cout << "Test two nonoverlapping rectangles, second output wrong: Interval(" <<
+          container[1].first << "), " << container[1].second << std::endl;
+      }
+      if(container[2] != std::pair<interval_data<Unit>, int>(interval_data<Unit>(0, 10), -1)) {
+        std::cout << "Test two nonoverlapping rectangles, third output wrong: Interval(" <<
+          container[2].first << "), " << container[2].second << std::endl;
+      }
+      if(container[3] != std::pair<interval_data<Unit>, int>(interval_data<Unit>(15, 25), -1)) {
+        std::cout << "Test two nonoverlapping rectangles, fourth output wrong: Interval(" <<
+          container[3].first << "), " << container[3].second << std::endl;
+      }
+      return true;
+    }
+  }
+
+  void test_assign() {
+    using namespace gtl;
+    std::vector<polygon_data<int> > ps;
+    polygon_90_set_data<int> ps90;
+    assign(ps, ps90);
+  }
+
+  //this is a compile time test, if it compiles it passes
+  void test_view_as() {
+    using namespace gtl;
+    polygon_data<int> p;
+    polygon_45_data<int> p45;
+    polygon_90_data<int> p90;
+    polygon_with_holes_data<int> pwh;
+    polygon_45_with_holes_data<int> p45wh;
+    polygon_90_with_holes_data<int> p90wh;
+    rectangle_data<int> rect(0, 1, 10, 11);
+    polygon_90_set_data<int> ps90;
+    polygon_45_set_data<int> ps45;
+    polygon_set_data<int> ps;
+
+    assign(p, rect);
+    assign(p90, view_as<polygon_90_concept>(p));
+    if(!equivalence(p90, rect))
+      std::cout << "fail 1\n";
+    assign(p45, view_as<polygon_45_concept>(p));
+    if(!equivalence(p45, rect))
+      std::cout << "fail 2\n";
+    assign(p90, view_as<polygon_90_concept>(p45));
+    if(!equivalence(p90, rect))
+      std::cout << "fail 3\n";
+    if(!equivalence(rect, view_as<rectangle_concept>(p)))
+      std::cout << "fail 4\n";
+    if(!equivalence(rect, view_as<rectangle_concept>(p45)))
+      std::cout << "fail 5\n";
+    if(!equivalence(rect, view_as<rectangle_concept>(p90)))
+      std::cout << "fail 6\n";
+    assign(pwh, rect);
+    assign(p90wh, rect);
+    assign(p45wh, rect);
+    if(!equivalence(rect, view_as<rectangle_concept>(pwh)))
+      std::cout << "fail 7\n";
+    if(!equivalence(rect, view_as<rectangle_concept>(p45wh)))
+      std::cout << "fail 8\n";
+    if(!equivalence(rect, view_as<rectangle_concept>(p90wh)))
+      std::cout << "fail 9\n";
+    assign(p90wh, view_as<polygon_90_with_holes_concept>(pwh));
+    if(!equivalence(p90wh, rect))
+      std::cout << "fail 10\n";
+    assign(p45wh, view_as<polygon_45_with_holes_concept>(pwh));
+    if(!equivalence(p45wh, rect))
+      std::cout << "fail 11\n";
+    assign(p90wh, view_as<polygon_90_with_holes_concept>(p45wh));
+    if(!equivalence(p90wh, rect))
+      std::cout << "fail 12\n";
+    assign(p90, view_as<polygon_90_concept>(pwh));
+    if(!equivalence(p90, rect))
+      std::cout << "fail 13\n";
+    assign(p45, view_as<polygon_45_concept>(pwh));
+    if(!equivalence(p45, rect))
+      std::cout << "fail 14\n";
+    assign(p90, view_as<polygon_90_concept>(p45wh));
+    if(!equivalence(p90, rect))
+      std::cout << "fail 15\n";
+    assign(ps, rect);
+    assign(ps90, view_as<polygon_90_set_concept>(ps));
+    if(!equivalence(ps90, rect))
+      std::cout << "fail 16\n";
+    assign(ps45, view_as<polygon_45_set_concept>(ps));
+    if(!equivalence(ps45, rect))
+      std::cout << "fail 17\n";
+    assign(ps90, view_as<polygon_90_set_concept>(ps45));
+    if(!equivalence(ps90, rect))
+      std::cout << "fail 18\n";
+  }
+
+  inline bool testPolygon45SetRect() {
+    std::vector<point_data<int> > points;
+    points.push_back(point_data<int>(0,0));
+    points.push_back(point_data<int>(0,10));
+    points.push_back(point_data<int>(10,10));
+    points.push_back(point_data<int>(10,0));
+    polygon_45_data<int> poly;
+    poly.set(points.begin(), points.end());
+    polygon_45_set_data<int> ps;
+    ps.insert(poly);
+    std::vector<polygon_45_data<int> > polys;
+    ps.get_polygons(polys);
+    std::cout << polys.size() << std::endl;
+    for(unsigned int i = 0; i < polys.size(); ++i) {
+      std::cout << polys[i] << std::endl;
+    }
+    return true;
+  }
+
+  inline bool testPolygon45Set() {
+    polygon_45_formation<int>::Polygon45Formation pf(true);
+    typedef boolean_op_45<int>::Vertex45 Vertex45;
+    std::vector<Vertex45> data;
+    // result == 0 8 -1 1
+    data.push_back(Vertex45(point_data<int>(0, 8), -1, 1));
+    // result == 0 8 1 -1
+    data.push_back(Vertex45(point_data<int>(0, 8), 1, -1));
+    // result == 4 0 1 1
+    data.push_back(Vertex45(point_data<int>(4, 0), 1, 1));
+    // result == 4 0 2 1
+    data.push_back(Vertex45(point_data<int>(4, 0), 2, 1));
+    // result == 4 4 2 -1
+    data.push_back(Vertex45(point_data<int>(4, 4), 2, -1));
+    // result == 4 4 -1 -1
+    data.push_back(Vertex45(point_data<int>(4, 4), -1, -1));
+    // result == 4 12 1 1
+    data.push_back(Vertex45(point_data<int>(4, 12), 1, 1));
+    // result == 4 12 2 1
+    data.push_back(Vertex45(point_data<int>(4, 12), 2, 1));
+    // result == 4 16 2 -1
+    data.push_back(Vertex45(point_data<int>(4, 16), 2, 1));
+    // result == 4 16 -1 -1
+    data.push_back(Vertex45(point_data<int>(4, 16), -1, -1));
+    // result == 6 2 1 -1
+    data.push_back(Vertex45(point_data<int>(6, 2), 1, -1));
+    // result == 6 14 -1 1
+    data.push_back(Vertex45(point_data<int>(6, 14), -1, 1));
+    // result == 6 2 -1 1
+    data.push_back(Vertex45(point_data<int>(6, 2), -1, 1));
+    // result == 6 14 1 -1
+    data.push_back(Vertex45(point_data<int>(6, 14), 1, -1));
+    // result == 8 0 -1 -1
+    data.push_back(Vertex45(point_data<int>(8, 0), -1, -1));
+    // result == 8 0 2 -1
+    data.push_back(Vertex45(point_data<int>(8, 0), 2, -1));
+    // result == 8 4 2 1
+    data.push_back(Vertex45(point_data<int>(8, 4), 2, 1));
+    // result == 8 4 1 1
+    data.push_back(Vertex45(point_data<int>(8, 4), 1, 1));
+    // result == 8 12 -1 -1
+    data.push_back(Vertex45(point_data<int>(8, 12), -1, -1));
+    // result == 8 12 2 -1
+    data.push_back(Vertex45(point_data<int>(8, 12), 2, -1));
+    // result == 8 16 2 1
+    data.push_back(Vertex45(point_data<int>(8, 16), 2, 1));
+    // result == 8 16 1 1
+    data.push_back(Vertex45(point_data<int>(8, 16), 1, 1));
+    // result == 12 8 1 -1
+    data.push_back(Vertex45(point_data<int>(12, 8), 1, -1));
+    // result == 12 8 -1 1
+    data.push_back(Vertex45(point_data<int>(12, 8), -1, 1));
+
+    data.push_back(Vertex45(point_data<int>(6, 4), 1, -1));
+    data.push_back(Vertex45(point_data<int>(6, 4), 2, -1));
+    data.push_back(Vertex45(point_data<int>(6, 12), -1, 1));
+    data.push_back(Vertex45(point_data<int>(6, 12), 2, 1));
+    data.push_back(Vertex45(point_data<int>(10, 8), -1, -1));
+    data.push_back(Vertex45(point_data<int>(10, 8), 1, 1));
+
+    std::sort(data.begin(), data.end());
+    std::vector<polygon_45_data<int> > polys;
+    pf.scan(polys, data.begin(), data.end());
+    polygon_45_set_data<int> ps;
+    std::cout << "inserting1\n";
+    //std::vector<point_data<int> > points;
+    //points.push_back(point_data<int>(0,0));
+    //points.push_back(point_data<int>(0,10));
+    //points.push_back(point_data<int>(10,10));
+    //points.push_back(point_data<int>(10,0));
+    //Polygon45 poly;
+    //poly.set(points.begin(), points.end());
+    //ps.insert(poly);
+    ps.insert(polys[0]);
+
+    polygon_45_set_data<int> ps2;
+    std::cout << "inserting2\n";
+    ps2.insert(polys[0]);
+    std::cout << "applying boolean\n";
+    ps |= ps2;
+    std::vector<polygon_45_data<int> > polys2;
+    std::cout << "getting result\n";
+    ps.get_polygons(polys2);
+    std::cout << ps2 << std::endl;
+    std::cout << ps << std::endl;
+    std::cout << polys[0] << std::endl;
+    std::cout << polys2[0] << std::endl;
+    if(polys != polys2) std::cout << "test Polygon45Set failed\n";
+    return polys == polys2;
+  }
+
+  inline bool testPolygon45SetPerterbation() {
+    polygon_45_formation<int>::Polygon45Formation pf(true);
+    typedef boolean_op_45<int>::Vertex45 Vertex45;
+    std::vector<Vertex45> data;
+    // result == 0 8 -1 1
+    data.push_back(Vertex45(point_data<int>(0, 80), -1, 1));
+    // result == 0 8 1 -1
+    data.push_back(Vertex45(point_data<int>(0, 80), 1, -1));
+    // result == 4 0 1 1
+    data.push_back(Vertex45(point_data<int>(40, 0), 1, 1));
+    // result == 4 0 2 1
+    data.push_back(Vertex45(point_data<int>(40, 0), 2, 1));
+    // result == 4 4 2 -1
+    data.push_back(Vertex45(point_data<int>(40, 40), 2, -1));
+    // result == 4 4 -1 -1
+    data.push_back(Vertex45(point_data<int>(40, 40), -1, -1));
+    // result == 4 12 1 1
+    data.push_back(Vertex45(point_data<int>(40, 120), 1, 1));
+    // result == 4 12 2 1
+    data.push_back(Vertex45(point_data<int>(40, 120), 2, 1));
+    // result == 4 16 2 -1
+    data.push_back(Vertex45(point_data<int>(40, 160), 2, 1));
+    // result == 4 16 -1 -1
+    data.push_back(Vertex45(point_data<int>(40, 160), -1, -1));
+    // result == 6 2 1 -1
+    data.push_back(Vertex45(point_data<int>(60, 20), 1, -1));
+    // result == 6 14 -1 1
+    data.push_back(Vertex45(point_data<int>(60, 140), -1, 1));
+    // result == 6 2 -1 1
+    data.push_back(Vertex45(point_data<int>(60, 20), -1, 1));
+    // result == 6 14 1 -1
+    data.push_back(Vertex45(point_data<int>(60, 140), 1, -1));
+    // result == 8 0 -1 -1
+    data.push_back(Vertex45(point_data<int>(80, 0), -1, -1));
+    // result == 8 0 2 -1
+    data.push_back(Vertex45(point_data<int>(80, 0), 2, -1));
+    // result == 8 4 2 1
+    data.push_back(Vertex45(point_data<int>(80, 40), 2, 1));
+    // result == 8 4 1 1
+    data.push_back(Vertex45(point_data<int>(80, 40), 1, 1));
+    // result == 8 12 -1 -1
+    data.push_back(Vertex45(point_data<int>(80, 120), -1, -1));
+    // result == 8 12 2 -1
+    data.push_back(Vertex45(point_data<int>(80, 120), 2, -1));
+    // result == 8 16 2 1
+    data.push_back(Vertex45(point_data<int>(80, 160), 2, 1));
+    // result == 8 16 1 1
+    data.push_back(Vertex45(point_data<int>(80, 160), 1, 1));
+    // result == 12 8 1 -1
+    data.push_back(Vertex45(point_data<int>(120, 80), 1, -1));
+    // result == 12 8 -1 1
+    data.push_back(Vertex45(point_data<int>(120, 80), -1, 1));
+
+    data.push_back(Vertex45(point_data<int>(60, 40), 1, -1));
+    data.push_back(Vertex45(point_data<int>(60, 40), 2, -1));
+    data.push_back(Vertex45(point_data<int>(60, 120), -1, 1));
+    data.push_back(Vertex45(point_data<int>(60, 120), 2, 1));
+    data.push_back(Vertex45(point_data<int>(100, 80), -1, -1));
+    data.push_back(Vertex45(point_data<int>(100, 80), 1, 1));
+
+    std::sort(data.begin(), data.end());
+    std::vector<polygon_45_data<int> > polys;
+    pf.scan(polys, data.begin(), data.end());
+    polygon_45_set_data<int> ps;
+    std::cout << "inserting1\n";
+    //std::vector<point_data<int> > points;
+    //points.push_back(point_data<int>(0,0));
+    //points.push_back(point_data<int>(0,10));
+    //points.push_back(point_data<int>(10,10));
+    //points.push_back(point_data<int>(10,0));
+    //Polygon45 poly;
+    //poly.set(points.begin(), points.end());
+    //ps.insert(poly);
+    polygon_45_set_data<int> preps(polys[0]);
+
+    ps.insert(polys[0]);
+    convolve(polys[0], point_data<int>(0, 1) );
+
+    polygon_45_set_data<int> ps2;
+    std::cout << "inserting2\n";
+    ps2.insert(polys[0]);
+    std::cout << "applying boolean\n";
+    ps |= ps2;
+    std::vector<polygon_45_data<int> > polys2;
+    std::cout << "getting result\n";
+    ps.get_polygons(polys2);
+    std::cout << preps << std::endl;
+    std::cout << ps2 << std::endl;
+    std::cout << ps << std::endl;
+    std::cout << polys[0] << std::endl;
+    std::cout << polys2[0] << std::endl;
+    if(polys != polys2) std::cout << "test Polygon45Set failed\n";
+    return polys == polys2;
+    //return true;
+  }
+
+  inline int testPolygon45SetDORA() {
+    std::cout << "testPolygon45SetDORA" << std::endl;
+    std::vector<point_data<int> > pts;
+    pts.push_back(point_data<int>(0, 0));
+    pts.push_back(point_data<int>(10, 0));
+    pts.push_back(point_data<int>(10, 10));
+    pts.push_back(point_data<int>(0, 10));
+    polygon_45_data<int> apoly;
+    apoly.set(pts.begin(), pts.end());
+    polygon_45_set_data<int> ps(apoly);
+    polygon_45_set_data<int> ps2(ps);
+    ps2 = apoly;
+    std::vector<polygon_45_data<int> > apolys;
+    apolys.push_back(apoly);
+    ps2.insert(apolys.begin(), apolys.end());
+    apolys.clear();
+    ps2.get(apolys);
+    std::cout << apolys.size() << std::endl;
+    std::cout << (ps == ps2) << std::endl;
+    std::cout << !(ps != ps2) << std::endl;
+    ps2.clear();
+    std::cout << (ps2.value().empty()) << std::endl;
+    ps2.set(apolys.begin(), apolys.end());
+    ps2.set(ps.value());
+    ps.clean();
+    ps2.set_clean(ps.value());
+    ps2.insert(ps.value().begin(), ps.value().end());
+    ps2.clear();
+    for(polygon_45_set_data<int>::iterator_type itr = ps.begin();
+        itr != ps.end(); ++itr) {
+      ps2.insert(*itr);
+    }
+    std::vector<polygon_45_with_holes_data<int> > apolywhs;
+    ps2.get_polygons_with_holes(apolywhs);
+    std::cout << apolywhs.size() << std::endl;
+    ps2 += 1;
+    apolywhs.clear();
+    ps2.get_polygons_with_holes(apolywhs);
+    if(apolywhs.size()) std::cout << apolywhs[0] << std::endl;
+    ps2 -= 1;
+    apolywhs.clear();
+    ps2.get_polygons_with_holes(apolywhs);
+    if(apolywhs.size()) std::cout << apolywhs[0] << std::endl;
+    else {
+      std::cout << "test failed\n";
+      return 1;
+    }
+    rectangle_data<int> rect;
+    extents(rect, apolywhs[0]);
+    ps2.clear();
+    ps2.insert(rect);
+    ps2.extents(rect);
+    ps2.clear();
+    ps2.insert(rect);
+    ps2.clear();
+    ps2.insert(apolywhs[0]);
+    apolywhs.clear();
+    ps2.get_trapezoids(apolywhs);
+    if(apolywhs.size()) std::cout << apolywhs[0] << std::endl;
+    else {
+      std::cout << "test failed\n";
+      return 1;
+    }
+    ps2 *= ps;
+    std::cout << (ps2 == ps) << std::endl;
+    ps2 ^= ps;
+    std::cout << ps2.empty() << std::endl;
+    axis_transformation atr(axis_transformation::WEST_SOUTH);
+    ps2 = ps;
+    ps.transform(atr);
+    transformation<int> tr(atr);
+    tr.invert();
+    ps.transform(tr);
+    ps.scale_up(2);
+    ps.scale_down(2);
+    std::cout << (ps2 == ps) << std::endl;
+    pts.clear();
+    pts.push_back(point_data<int>(0,0));
+    pts.push_back(point_data<int>(10,10));
+    pts.push_back(point_data<int>(10,11));
+    pts.push_back(point_data<int>(0,21));
+    apoly.set(pts.begin(), pts.end());
+    ps2.clear();
+    ps2.insert(apoly);
+    ps2 -= 1;
+    apolywhs.clear();
+    ps2.get_polygons_with_holes(apolywhs);
+    if(apolywhs.size()) std::cout << apolywhs[0] << std::endl;
+    else {
+      std::cout << "test failed\n";
+      return 1;
+    }
+    pts.clear();
+    pts.push_back(point_data<int>(0, 0));
+    pts.push_back(point_data<int>(10, 10));
+    pts.push_back(point_data<int>(0, 20));
+    apoly.set(pts.begin(), pts.end());
+    ps2.clear();
+    ps2.insert(apoly);
+    pts.clear();
+    pts.push_back(point_data<int>(0, 5));
+    pts.push_back(point_data<int>(10, 15));
+    pts.push_back(point_data<int>(0, 25));
+    apoly.set(pts.begin(), pts.end());
+    ps2.insert(apoly);
+    apolywhs.clear();
+    ps2.get_polygons_with_holes(apolywhs);
+    if(apolywhs.size()) std::cout << apolywhs[0] << std::endl;
+    else {
+      std::cout << "test failed\n";
+      return 1;
+    }
+    return 0;
+
+  }
+}
+}
+using namespace gtl;
+
+bool testRectangle() {
+  rectangle_data<int> rect, rect2;
+#ifdef BOOST_POLYGON_MSVC
+  horizontal(rect, interval_data<int>(0, 10));
+  vertical(rect, interval_data<int>(20, 30));
+#else
+  horizontal(rect, interval_data<polygon_long_long_type>(0, 10));
+  vertical(rect, interval_data<polygon_long_long_type>(20, 30));
+#endif
+  xl(rect2, 0);
+  xh(rect2, 10);
+  yl(rect2, 20);
+  yh(rect2, 30);
+  if(euclidean_distance(rect, rect2) != 0) return false;
+  if(euclidean_distance(rect2, rect) != 0) return false;
+#ifdef BOOST_POLYGON_MSVC
+  set(rect, HORIZONTAL, interval_data<int>(0, 10));
+  if(!equivalence(horizontal(rect), interval_data<int>(0, 10))) return false;
+  if(!equivalence(vertical(rect2), interval_data<int>(20, 30))) return false;
+#else
+  set(rect, HORIZONTAL, interval_data<polygon_long_long_type>(0, 10));
+  if(!equivalence(horizontal(rect), interval_data<polygon_long_long_type>(0, 10))) return false;
+  if(!equivalence(vertical(rect2), interval_data<polygon_long_long_type>(20, 30))) return false;
+#endif
+  if(xl(rect) != 0) return false;
+  if(xh(rect) != 10) return false;
+  if(yl(rect) != 20) return false;
+  if(yh(rect) != 30) return false;
+  move(rect, HORIZONTAL, 10);
+  if(xl(rect) != 10) return false;
+#ifdef BOOST_POLYGON_MSVC
+  set_points(rect, point_data<int>(0, 20), point_data<int>(10, 30));
+#else
+  set_points(rect, point_data<int>(0, 20), point_data<polygon_long_long_type>(10, 30));
+#endif
+  if(xl(rect) != 0) return false;
+  convolve(rect, rect2);
+  if(xh(rect) != 20) return false;
+  deconvolve(rect, rect2);
+  if(xh(rect) != 10) return false;
+  reflected_convolve(rect, rect2);
+  reflected_deconvolve(rect, rect2);
+  if(!equivalence(rect, rect2)) return false;
+#ifdef BOOST_POLYGON_MSVC
+  convolve(rect, point_data<int>(100, 200));
+#else
+  convolve(rect, point_data<polygon_long_long_type>(100, 200));
+#endif
+  if(xh(rect) != 110) return false;
+  deconvolve(rect, point_data<int>(100, 200));
+  if(!equivalence(rect, rect2)) return false;
+  xh(rect, 100);
+  if(delta(rect, HORIZONTAL) != 100) return false;
+  if(area(rect) != 1000) return false;
+  if(half_perimeter(rect) != 110) return false;
+  if(perimeter(rect) != 220) return false;
+  if(guess_orientation(rect) != HORIZONTAL) return false;
+  return true;
+}
+
+
+bool testPolygon() {
+  int rect[4] = {0, 10, 20, 30};
+  iterator_compact_to_points<int*, point_data<int> > itr(rect, rect+4);
+  iterator_compact_to_points<int*, point_data<int> > itr_end(rect, rect+4);
+  std::vector<point_data<int> > points;
+  points.insert(points.end(), itr, itr_end);
+  polygon_90_data<int> p90;
+  assign(p90, rectangle_data<int>(interval_data<int>(0, 10), interval_data<int>(20, 30)));
+  if(winding(p90) != COUNTERCLOCKWISE) return false;
+  polygon_45_data<int> p45;
+  assign(p45, rectangle_data<int>(interval_data<int>(0, 10), interval_data<int>(20, 30)));
+  if(winding(p45) != COUNTERCLOCKWISE) return false;
+  polygon_data<int> p;
+  assign(p, rectangle_data<int>(interval_data<int>(0, 10), interval_data<int>(20, 30)));
+  if(winding(p) != COUNTERCLOCKWISE) return false;
+  set_compact(p90, rect, rect+4);
+  if(winding(p90) != COUNTERCLOCKWISE) return false;
+  points.clear();
+  points.push_back(point_data<int>(0, 0));
+  points.push_back(point_data<int>(10, 10));
+  points.push_back(point_data<int>(0, 20));
+  points.push_back(point_data<int>(-10, 10));
+  set_points(p45, points.begin(), points.end());
+  if(winding(p45) != COUNTERCLOCKWISE) return false;
+  std::swap(points[1], points[3]);
+  set_points(p, points.begin(), points.end());
+  if(winding(p) == COUNTERCLOCKWISE) return false;
+  point_data<int> cp;
+  center(cp, p);
+  if(cp != point_data<int>(0, 10)) return false;
+  move(p, HORIZONTAL, 3);
+  rectangle_data<int> bounding_box;
+  extents(bounding_box, p);
+  if(bounding_box != rectangle_data<int>(interval_data<int>(-7, 13), interval_data<int>(0, 20))) return false;
+  if(area(p90) != 400) return false;
+  if(area(p45) != 200) return false;
+  if(perimeter(p90) != 80) return false;
+  return true;
+}
+
+bool testPolygonAssign() {
+  polygon_data<int> p;
+  polygon_data<int> p1;
+  polygon_45_data<int> p_45;
+  polygon_45_data<int> p_451;
+  polygon_90_data<int> p_90;
+  polygon_90_data<int> p_901;
+  polygon_with_holes_data<int> p_wh;
+  polygon_with_holes_data<int> p_wh1;
+  polygon_45_with_holes_data<int> p_45_wh;
+  polygon_45_with_holes_data<int> p_45_wh1;
+  polygon_90_with_holes_data<int> p_90_wh;
+  polygon_90_with_holes_data<int> p_90_wh1;
+  assign(p, p1);
+  assign(p, p_45);
+  assign(p, p_90);
+  //assign(p, p_wh);
+  //assign(p, p_45_wh);
+  //assign(p, p_90_wh);
+  //assign(p_45, p);
+  assign(p_451, p_45);
+  assign(p_45, p_90);
+  //assign(p_45, p_wh);
+  //assign(p_45, p_45_wh);
+  //assign(p_45, p_90_wh);
+  //assign(p_90, p);
+  //assign(p_90, p_45);
+  assign(p_901, p_90);
+  //assign(p_90, p_wh);
+  //assign(p_90, p_45_wh);
+  //assign(p_90, p_90_wh);
+  assign(p_wh, p);
+  assign(p_wh, p_45);
+  assign(p_wh, p_90);
+  assign(p_wh1, p_wh);
+  assign(p_wh, p_45_wh);
+  assign(p_wh, p_90_wh);
+  //assign(p_45_wh, p);
+  assign(p_45_wh, p_45);
+  assign(p_45_wh, p_90);
+  //assign(p_45_wh, p_wh);
+  assign(p_45_wh1, p_45_wh);
+  //assign(p_90_wh, p);
+  //assign(p_90_wh, p_45);
+  assign(p_90_wh, p_90);
+  assign(p_90_wh1, p_90_wh);
+  return true;
+}
+
+int testPropertyMerge() {
+  rectangle_data<int> rect1 = construct<rectangle_data<int> >(0, 1, 10, 11);
+  rectangle_data<int> rect2 = construct<rectangle_data<int> >(5, 6, 17, 18);
+  property_merge_90<int, int> pm;
+  pm.insert(rect1, 0);
+  pm.insert(rect2, 1);
+  std::map<std::set<int>, polygon_90_set_data<int> > result;
+  pm.merge(result);
+  std::vector<rectangle_data<int> > rects;
+  std::set<int> key;
+  key.insert(0);
+  result[key].get(rects);
+  std::cout << rects.size() << std::endl;
+  std::vector<polygon_data<int> > polys;
+  result[key].get(polys);
+  std::cout << polys.size() << std::endl;
+  std::vector<polygon_90_with_holes_data<int> > polywhs;
+  result[key].get(polywhs);
+  std::cout << polys.size() << std::endl;
+  return result.size();
+}
+
+bool testPolygonWithHoles() {
+  int rect[4] = {0, 10, 20, 30};
+  iterator_compact_to_points<int*, point_data<int> > itr(rect, rect+4);
+  iterator_compact_to_points<int*, point_data<int> > itr_end(rect, rect+4);
+  std::vector<point_data<int> > points;
+  points.insert(points.end(), itr, itr_end);
+  polygon_45_with_holes_data<int> p45wh;
+  assign(p45wh, rectangle_data<int>(interval_data<int>(0, 10), interval_data<int>(20, 30)));
+  if(winding(p45wh) != COUNTERCLOCKWISE) return false;
+  polygon_45_with_holes_data<int> p45;
+  assign(p45, rectangle_data<int>(interval_data<int>(0, 10), interval_data<int>(20, 30)));
+  if(winding(p45) != COUNTERCLOCKWISE) return false;
+  polygon_45_with_holes_data<int> p;
+  assign(p, rectangle_data<int>(interval_data<int>(0, 10), interval_data<int>(20, 30)));
+  if(winding(p) != COUNTERCLOCKWISE) return false;
+  set_compact(p45wh, rect, rect+4);
+  if(winding(p45wh) != COUNTERCLOCKWISE) return false;
+  points.clear();
+  points.push_back(point_data<int>(0, 0));
+  points.push_back(point_data<int>(10, 10));
+  points.push_back(point_data<int>(0, 20));
+  points.push_back(point_data<int>(-10, 10));
+  set_points(p45, points.begin(), points.end());
+  if(winding(p45) != COUNTERCLOCKWISE) return false;
+  std::swap(points[1], points[3]);
+  set_points(p, points.begin(), points.end());
+  if(winding(p) == COUNTERCLOCKWISE) return false;
+  point_data<int> cp;
+  center(cp, p);
+  if(cp != point_data<int>(0, 10)) return false;
+  move(p, HORIZONTAL, 3);
+  rectangle_data<int> bounding_box;
+  extents(bounding_box, p);
+  if(bounding_box != rectangle_data<int>(interval_data<int>(-7, 13), interval_data<int>(0, 20))) return false;
+  if(area(p45wh) != 400) return false;
+  if(area(p45) != 200) return false;
+  if(perimeter(p45wh) != 80) return false;
+  return true;
+}
+
+using namespace gtl;
+
+typedef int Unit;
+typedef point_data<int> Point;
+typedef interval_data<int> Interval;
+typedef rectangle_data<int> Rectangle;
+typedef polygon_90_data<int> Polygon;
+typedef polygon_90_with_holes_data<int> PolygonWithHoles;
+typedef polygon_45_data<int> Polygon45;
+typedef polygon_45_with_holes_data<int> Polygon45WithHoles;
+typedef polygon_90_set_data<int> PolygonSet;
+typedef polygon_45_set_data<int> Polygon45Set;
+typedef axis_transformation AxisTransform;
+typedef transformation<int> Transform;
+
+bool getRandomBool() {
+  return rand()%2 != 0;
+}
+int getRandomInt() {
+  return rand()%6-2;
+}
+Point getRandomPoint() {
+  int x = rand()%8;
+  int y = rand()%8;
+  return Point(x, y);
+}
+Polygon45 getRandomTriangle() {
+  Point pts[3];
+  pts[0] = getRandomPoint();
+  pts[1] = pts[2] = pts[0];
+  int disp = getRandomInt();
+  bool dir = getRandomBool();
+  x(pts[2], x(pts[2]) + disp);
+  x(pts[1], x(pts[1]) + disp);
+  if(dir)
+    y(pts[1], y(pts[1]) + disp);
+  else
+    y(pts[1], y(pts[1]) - disp);
+  return Polygon45(pts, pts+3);
+}
+
+bool nonInteger45StessTest() {
+  for(unsigned int tests = 0; tests < 10; ++tests) {
+    Polygon45Set ps1, ps2;
+    std::vector<Polygon45> p45s;
+    for(unsigned int i = 0; i < 10; ++i) {
+      Polygon45 p45 = getRandomTriangle();
+      p45s.push_back(p45);
+      ps1.insert(p45);
+      scale_up(p45, 2);
+      ps2.insert(p45);
+    }
+    std::vector<Polygon45> polys;
+    ps1.get(polys);
+    Polygon45Set ps3;
+    for(unsigned int i = 0; i < polys.size(); ++i) {
+      scale_up(polys[i], 2);
+      ps3.insert(polys[i]);
+    }
+    Polygon45Set ps4 = ps3 ^ ps2;
+    std::vector<Polygon45> polys_error;
+    ps4.get(polys_error);
+    for(unsigned int i = 0; i < polys_error.size(); ++i) {
+      //if(polys_error[i].size() > 3) return false;
+      if(area(polys_error[i]) != 1) {
+        if(area(polys_error[i]) == 2) {
+          //if two area 1 errors merge it will have area 2
+          continue;
+        }
+        std::cout << "test failed\n";
+        for(unsigned int j =0; j < p45s.size(); ++j) {
+          std::cout << p45s[j] << std::endl;
+        }
+        return false;
+      }
+    }
+  }
+  return true;
+}
+
+bool validate_polygon_set_op(Polygon45Set& ps45_o,
+                             const Polygon45Set& ps45_1,
+                             const Polygon45Set& ps45_2,
+                             int op_type) {
+  Polygon45Set s_ps_45_o(ps45_o);
+  Polygon45Set s_ps_45_1(ps45_1);
+  Polygon45Set s_ps_45_2(ps45_2);
+  s_ps_45_o.scale_up(2);
+  s_ps_45_1.scale_up(2);
+  s_ps_45_2.scale_up(2);
+  Polygon45Set s_ps_45_validate;
+  if(op_type == 0) {
+    s_ps_45_validate = s_ps_45_1 + s_ps_45_2;
+    s_ps_45_validate += Rectangle(4, 4, 6, 6);
+  } else if(op_type == 1) {
+    s_ps_45_validate = s_ps_45_1 * s_ps_45_2;
+    s_ps_45_validate -= Rectangle(4, 4, 6, 6);
+  } else if(op_type == 2) {
+    s_ps_45_validate = s_ps_45_1 ^ s_ps_45_2;
+    s_ps_45_validate -= Rectangle(4, 4, 6, 6);
+  } else {
+    s_ps_45_validate = s_ps_45_1 - s_ps_45_2;
+    s_ps_45_validate -= Rectangle(4, 4, 6, 6);
+  }
+  if(s_ps_45_validate != s_ps_45_o) {
+    std::cout << "TEST FAILED\n";
+    std::vector<Polygon45> polys;
+    s_ps_45_o.get(polys);
+    std::cout << "Result:\n";
+    for(unsigned int i = 0; i < polys.size(); ++i) {
+      std::cout << polys[i] << std::endl;
+    }
+    polys.clear();
+    s_ps_45_validate.get(polys);
+    std::cout << "Expected Result:\n";
+    for(unsigned int i = 0; i < polys.size(); ++i) {
+      std::cout << polys[i] << std::endl;
+    }
+    //redo the operation, set breakpoints here
+    switch (op_type) {
+    case 0:
+      ps45_o = ps45_1 + ps45_2;
+      ps45_o.get(polys);//needed to force clean
+      break;
+    case 1:
+      ps45_o = ps45_1 * ps45_2;
+      break;
+    case 2:
+      ps45_o = ps45_1 ^ ps45_2;
+      break;
+    default:
+      ps45_o = ps45_1 - ps45_2;
+    };
+    //redo the check, set breakpoints here
+    if(op_type == 0) {
+      s_ps_45_validate = s_ps_45_1 + s_ps_45_2;
+      s_ps_45_validate += Rectangle(4, 4, 6, 6);
+      s_ps_45_validate.get(polys);
+    } else if(op_type == 1) {
+      s_ps_45_validate = s_ps_45_1 * s_ps_45_2;
+      s_ps_45_validate -= Rectangle(4, 4, 6, 6);
+    } else if(op_type == 2) {
+      s_ps_45_validate = s_ps_45_1 ^ s_ps_45_2;
+      s_ps_45_validate -= Rectangle(4, 4, 6, 6);
+    } else {
+      s_ps_45_validate = s_ps_45_1 - s_ps_45_2;
+      s_ps_45_validate -= Rectangle(4, 4, 6, 6);
+    }
+    return false;
+  }
+  return true;
+}
+
+bool test_two_polygon_sets(const Polygon45Set& ps45_1,
+                           const Polygon45Set& ps45_2) {
+  std::cout << "test two polygon sets \n";
+  std::vector<Polygon45> polys;
+  ps45_1.get(polys);
+  std::cout << "LVALUE:\n";
+  for(unsigned int i = 0; i < polys.size(); ++i) {
+    std::cout << polys[i] << std::endl;
+  }
+  polys.clear();
+  ps45_2.get(polys);
+  std::cout << "RVALUE:\n";
+  for(unsigned int i = 0; i < polys.size(); ++i) {
+    std::cout << polys[i] << std::endl;
+  }
+  Polygon45Set ps45_o;
+  std::cout << "OR\n";
+  ps45_o = ps45_1 + ps45_2;
+  polys.clear();
+  ps45_o.get(polys);
+  for(unsigned int i = 0; i < polys.size(); ++i) {
+    std::cout << polys[i] << std::endl;
+  }
+  if(!validate_polygon_set_op(ps45_o, ps45_1, ps45_2, 0)) return false;
+  std::cout << "AND\n";
+  ps45_o = ps45_1 * ps45_2;
+  polys.clear();
+  ps45_o.get(polys);
+  for(unsigned int i = 0; i < polys.size(); ++i) {
+    std::cout << polys[i] << std::endl;
+  }
+  if(!validate_polygon_set_op(ps45_o, ps45_1, ps45_2, 1)) return false;
+  std::cout << "XOR\n";
+  ps45_o = ps45_1 ^ ps45_2;
+  polys.clear();
+  ps45_o.get(polys);
+  for(unsigned int i = 0; i < polys.size(); ++i) {
+    std::cout << polys[i] << std::endl;
+  }
+  if(!validate_polygon_set_op(ps45_o, ps45_1, ps45_2, 2)) return false;
+  std::cout << "SUBTRACT\n";
+  ps45_o = ps45_1 - ps45_2;
+  polys.clear();
+  ps45_o.get(polys);
+  for(unsigned int i = 0; i < polys.size(); ++i) {
+    std::cout << polys[i] << std::endl;
+  }
+  if(!validate_polygon_set_op(ps45_o, ps45_1, ps45_2, 3)) return false;
+  return true;
+}
+
+bool test_two_polygons(const Polygon45& p45_1,
+                       const Polygon45& p45_2) {
+  Polygon45Set ps45_1, ps45_2;
+  ps45_1.insert(p45_1);
+  ps45_2.insert(p45_2);
+  ps45_1.insert(rectangle_data<int>(10, -100, 20, 100));
+  ps45_2.insert(rectangle_data<int>(0, 10, 100, 20));
+  if(!test_two_polygon_sets(ps45_1, ps45_2)) return false;
+  Polygon45Set ps45_1_c = ps45_1 - Rectangle(0, 0, 2, 5);
+  Polygon45Set ps45_2_c = ps45_2 - Rectangle(0, 0, 2, 5);
+  if(!test_two_polygon_sets(ps45_1_c, ps45_2_c)) return false;
+  if(!test_two_polygon_sets(ps45_1_c, ps45_2)) return false;
+  if(!test_two_polygon_sets(ps45_1, ps45_2_c)) return false;
+  return true;
+}
+
+bool test_45_touch() {
+  using namespace gtl;
+  connectivity_extraction_45<int> ce;
+  rectangle_data<int> rect1(0, 0, 10, 10);
+  rectangle_data<int> rect2(5, 5, 15, 15);
+  rectangle_data<int> rect3(5, 20, 15, 25);
+  ce.insert(rect1);
+  ce.insert(rect2);
+  ce.insert(rect3);
+  std::vector<std::set<int> > graph(3);
+  ce.extract(graph);
+  if(graph[0].size() == 1 && graph[1].size() == 1 && graph[2].size() == 0) {
+    std::set<int>::iterator itr = graph[0].begin();
+    std::cout << *itr << std::endl;
+    std::set<int>::iterator itr1 = graph[1].begin();
+    std::cout << *itr1 << std::endl;
+    return true;
+  }
+  std::cout << "test failed\n";
+  return false;
+}
+
+bool test_45_touch_ur() {
+  using namespace gtl;
+  connectivity_extraction_45<int> ce;
+  rectangle_data<int> rect1(0, 0, 5, 5);
+  rectangle_data<int> rect2(5, 5, 10, 10);
+  ce.insert(rect1);
+  ce.insert(rect2);
+  std::vector<std::set<int> > graph(2);
+  ce.extract(graph);
+  if(graph[0].size() == 1 && graph[1].size() == 1) {
+    std::set<int>::iterator itr = graph[0].begin();
+    std::cout << *itr << std::endl;
+    std::set<int>::iterator itr1 = graph[1].begin();
+    std::cout << *itr1 << std::endl;
+    return true;
+  }
+  std::cout << "test failed\n";
+  return false;
+}
+
+bool test_45_touch_r() {
+  using namespace gtl;
+  connectivity_extraction_45<int> ce;
+  rectangle_data<int> rect1(0, 0, 5, 5);
+  rectangle_data<int> rect2(5, 0, 10, 5);
+  ce.insert(rect1);
+  ce.insert(rect2);
+  std::vector<std::set<int> > graph(2);
+  ce.extract(graph);
+  if(graph[0].size() == 1 && graph[1].size() == 1) {
+    std::set<int>::iterator itr = graph[0].begin();
+    std::cout << *itr << std::endl;
+    std::set<int>::iterator itr1 = graph[1].begin();
+    std::cout << *itr1 << std::endl;
+    return true;
+  }
+  std::cout << "test failed\n";
+  return false;
+}
+
+bool test_45_touch_boundaries() {
+  using namespace gtl;
+  connectivity_extraction_45<int> ce;
+  rectangle_data<int> rect1(0, 0, 10, 10);
+  rectangle_data<int> rect2(10, 0, 20, 10);
+  rectangle_data<int> rect3(20, 0, 30, 10);
+  rectangle_data<int> rect4(0, 10, 10, 20);
+  rectangle_data<int> rect5(10, 10, 20, 20);
+  rectangle_data<int> rect6(20, 10, 30, 20);
+  rectangle_data<int> rect7(0, 20, 10, 30);
+  rectangle_data<int> rect8(10, 20, 20, 30);
+  rectangle_data<int> rect9(20, 20, 30, 30);
+  ce.insert(rect1);
+  ce.insert(rect2);
+  ce.insert(rect3);
+  ce.insert(rect4);
+  ce.insert(rect5);
+  ce.insert(rect6);
+  ce.insert(rect7);
+  ce.insert(rect8);
+  ce.insert(rect9);
+  std::vector<std::set<int> > graph(9);
+  ce.extract(graph);
+  for(unsigned int i = 0; i < 9; ++i) {
+    std::cout << i << ": ";
+    for(std::set<int>::iterator itr = graph[i].begin(); itr != graph[i].end(); ++itr) {
+      std::cout << *itr << " ";
+    } std::cout << std::endl;
+  }
+  if(graph[0].size() == 3 && graph[1].size() == 5 && graph[2].size() == 3 &&
+     graph[3].size() == 5 && graph[4].size() == 8 && graph[5].size() == 5 &&
+     graph[6].size() == 3 && graph[7].size() == 5 && graph[8].size() == 3) {
+    return true;
+  }
+  std::cout << "test failed\n";
+  return false;
+}
+
+bool test_45_concept_interact() {
+  using namespace gtl;
+  std::vector<polygon_45_data<int> > polys;
+  polys += rectangle_data<int>(10, 10, 20, 20);
+  polys += rectangle_data<int>(15, 15, 25, 25);
+  polys += rectangle_data<int>(5, 25, 10, 35);
+  interact(polys, rectangle_data<int>(0, 0, 13, 13));
+  if(polys.size() != 1) return false;
+  return true;
+}
+
+bool test_aa_touch() {
+  using namespace gtl;
+  connectivity_extraction<int> ce;
+  rectangle_data<int> rect1(0, 0, 10, 10);
+  rectangle_data<int> rect2(5, 5, 15, 15);
+  rectangle_data<int> rect3(5, 20, 15, 25);
+  ce.insert(rect1);
+  ce.insert(rect2);
+  ce.insert(rect3);
+  std::vector<std::set<int> > graph(3);
+  ce.extract(graph);
+  if(graph[0].size() == 1 && graph[1].size() == 1 && graph[2].size() == 0) {
+    std::set<int>::iterator itr = graph[0].begin();
+    std::cout << *itr << std::endl;
+    std::set<int>::iterator itr1 = graph[1].begin();
+    std::cout << *itr1 << std::endl;
+    return true;
+  }
+  std::cout << "test failed\n";
+  return false;
+}
+
+bool test_aa_touch_ur() {
+  using namespace gtl;
+  connectivity_extraction<int> ce;
+  rectangle_data<int> rect1(0, 0, 5, 5);
+  rectangle_data<int> rect2(5, 5, 10, 10);
+  ce.insert(rect1);
+  ce.insert(rect2);
+  std::vector<std::set<int> > graph(2);
+  ce.extract(graph);
+  if(graph[0].size() == 1 && graph[1].size() == 1) {
+    std::set<int>::iterator itr = graph[0].begin();
+    std::cout << *itr << std::endl;
+    std::set<int>::iterator itr1 = graph[1].begin();
+    std::cout << *itr1 << std::endl;
+    return true;
+  }
+  std::cout << "test failed\n";
+  return false;
+}
+
+bool test_aa_touch_ur2() {
+  using namespace gtl;
+  connectivity_extraction<int> ce;
+  rectangle_data<int> rect2(5, 5, 10, 10);
+  point_data<int> pts[3] = {
+    point_data<int>(0, 0),
+    point_data<int>(5, 5),
+    point_data<int>(0, 5)
+  };
+  polygon_data<int> poly;
+  poly.set(pts, pts+3);
+  ce.insert(poly);
+  ce.insert(rect2);
+  std::vector<std::set<int> > graph(2);
+  ce.extract(graph);
+  if(graph[0].size() == 1 && graph[1].size() == 1) {
+    std::set<int>::iterator itr = graph[0].begin();
+    std::cout << *itr << std::endl;
+    std::set<int>::iterator itr1 = graph[1].begin();
+    std::cout << *itr1 << std::endl;
+    return true;
+  }
+  std::cout << "test failed\n";
+  return false;
+}
+
+bool test_aa_touch_r() {
+  using namespace gtl;
+  connectivity_extraction<int> ce;
+  rectangle_data<int> rect1(0, 0, 5, 5);
+  rectangle_data<int> rect2(5, 0, 10, 5);
+  ce.insert(rect1);
+  ce.insert(rect2);
+  std::vector<std::set<int> > graph(2);
+  ce.extract(graph);
+  if(graph[0].size() == 1 && graph[1].size() == 1) {
+    std::set<int>::iterator itr = graph[0].begin();
+    std::cout << *itr << std::endl;
+    std::set<int>::iterator itr1 = graph[1].begin();
+    std::cout << *itr1 << std::endl;
+    return true;
+  }
+  std::cout << "test failed\n";
+  return false;
+}
+
+bool test_aa_touch_boundaries() {
+  using namespace gtl;
+  connectivity_extraction<int> ce;
+  rectangle_data<int> rect1(0, 0, 10, 10);
+  rectangle_data<int> rect2(10, 0, 20, 10);
+  rectangle_data<int> rect3(20, 0, 30, 10);
+  rectangle_data<int> rect4(0, 10, 10, 20);
+  rectangle_data<int> rect5(10, 10, 20, 20);
+  rectangle_data<int> rect6(20, 10, 30, 20);
+  rectangle_data<int> rect7(0, 20, 10, 30);
+  rectangle_data<int> rect8(10, 20, 20, 30);
+  rectangle_data<int> rect9(20, 20, 30, 30);
+  ce.insert(rect1);
+  ce.insert(rect2);
+  ce.insert(rect3);
+  ce.insert(rect4);
+  ce.insert(rect5);
+  ce.insert(rect6);
+  ce.insert(rect7);
+  ce.insert(rect8);
+  ce.insert(rect9);
+  std::vector<std::set<int> > graph(9);
+  ce.extract(graph);
+  for(unsigned int i = 0; i < 9; ++i) {
+    std::cout << i << ": ";
+    for(std::set<int>::iterator itr = graph[i].begin(); itr != graph[i].end(); ++itr) {
+      std::cout << *itr << " ";
+    } std::cout << std::endl;
+  }
+  if(graph[0].size() == 3 && graph[1].size() == 5 && graph[2].size() == 3 &&
+     graph[3].size() == 5 && graph[4].size() == 8 && graph[5].size() == 5 &&
+     graph[6].size() == 3 && graph[7].size() == 5 && graph[8].size() == 3) {
+    return true;
+  }
+  std::cout << "test failed\n";
+  return false;
+}
+
+bool test_aa_concept_interact() {
+  using namespace gtl;
+  std::vector<polygon_data<int> > polys;
+  polys += rectangle_data<int>(10, 10, 20, 20);
+  polys += rectangle_data<int>(15, 15, 25, 25);
+  polys += rectangle_data<int>(5, 25, 10, 35);
+  interact(polys, rectangle_data<int>(0, 0, 13, 13));
+  if(polys.size() != 1) return false;
+  return true;
+}
+
+bool test_get_rectangles() {
+  using namespace gtl;
+  polygon_90_set_data<int> ps(VERTICAL);
+  ps += rectangle_data<int>(0, 0, 10, 10);
+  ps += rectangle_data<int>(5, 5, 15, 15);
+  std::vector<polygon_90_data<int> > polys;
+  ps.get_rectangles(polys, HORIZONTAL);
+  for(unsigned int i = 0; i < polys.size(); ++i) {
+    std::cout << polys[i] << std::endl;
+  }
+  if(polys.size() != 3) return false;
+  std::vector<rectangle_data<int> > rects;
+  ps.get_rectangles(rects, HORIZONTAL);
+  for(unsigned int i = 0; i < rects.size(); ++i) {
+    std::cout << rects[i] << std::endl;
+  }
+  if(rects.size() != 3) return false;
+  if(!equivalence(rects[2], rectangle_data<int>(5,10,15,15))) return false;
+
+  get_rectangles(polys, rects, VERTICAL);
+  get_rectangles(rects, polys, HORIZONTAL);
+  return equivalence(rects, polys);
+}
+
+bool test_get_trapezoids() {
+  using namespace gtl;
+  polygon_45_set_data<int> ps;
+  ps += rectangle_data<int>(0, 0, 10, 10);
+  ps += rectangle_data<int>(5, 5, 15, 15);
+  std::vector<polygon_45_data<int> > polys;
+  ps.get_trapezoids(polys, HORIZONTAL);
+  for(unsigned int i = 0; i < polys.size(); ++i) {
+    std::cout << polys[i] << std::endl;
+  }
+  if(polys.size() != 3) return false;
+  std::vector<polygon_45_data<int> > rects;
+  ps.get_trapezoids(rects, HORIZONTAL);
+  for(unsigned int i = 0; i < rects.size(); ++i) {
+    std::cout << rects[i] << std::endl;
+  }
+  if(rects.size() != 3) return false;
+  if(!equivalence(rects[2], rectangle_data<int>(5,10,15,15))) return false;
+  get_trapezoids(polys, rects, VERTICAL);
+  get_trapezoids(rects, polys, HORIZONTAL);
+  return equivalence(rects, polys);
+}
+
+bool test_SQRT1OVER2() {
+  Point pts[] = {
+    Point(100, 100),
+    Point(0, 100),
+    Point(100, 200),
+    Point(0, 300),
+    Point(100, 400),
+    Point(0, 500),
+    Point(100, 500),
+    Point(100, 600),
+    Point(200, 500),
+    Point(300, 600),
+    Point(400, 500),
+    Point(500, 600),
+    Point(500, 500),
+    Point(600, 500),
+    Point(500, 400),
+    Point(600, 300),
+    Point(500, 200),
+    Point(600, 100),
+    Point(500, 100),
+    Point(500, 0),
+    Point(400, 100),
+    Point(300, 0),
+    Point(200, 100),
+    Point(100, 0),
+    Point(100, 100)
+  };
+  Polygon45 p45(pts, pts+25);
+  std::cout << is_45(p45) << std::endl;
+  std::cout << p45 << std::endl;
+  Polygon45Set ps45;
+  ps45 += p45;
+  ps45.resize(10, SQRT1OVER2, ORTHOGONAL);
+  std::vector<Polygon45> polys;
+  ps45.get(polys);
+  if(polys.size() != 1) return false;
+  Point pts2[] = {
+    Point(90, 90),
+    Point(-10, 90),
+    Point(-10, 100),
+    Point(90, 200),
+    Point(-10, 300),
+    Point(90, 400),
+    Point(-10, 500),
+    Point(-10, 510),
+    Point(90, 510),
+    Point(90, 610),
+    Point(100, 610),
+    Point(200, 510),
+    Point(300, 610),
+    Point(400, 510),
+    Point(500, 610),
+    Point(510, 610),
+    Point(510, 510),
+    Point(610, 510),
+    Point(610, 500),
+    Point(510, 400),
+    Point(610, 300),
+    Point(510, 200),
+    Point(610, 100),
+    Point(610, 90),
+    Point(510, 90),
+    Point(510, -10),
+    Point(500, -10),
+    Point(400, 90),
+    Point(300, -10),
+    Point(200, 90),
+    Point(100, -10),
+    Point(90, -10),
+    Point(90, 90)
+  };
+  Polygon45 p45reference(pts2, pts2+33);
+  std::cout << is_45(polys[0]) << std::endl;
+  std::cout << polys[0] << std::endl;
+  std::cout << p45reference << std::endl;
+  std::cout << is_45(p45reference) << std::endl;
+  if(!equivalence(polys[0], p45reference)) {
+    std::cout << "polys don't match\n";
+    return false;
+  }
+  ps45.resize(-10, SQRT1OVER2, ORTHOGONAL);
+  polys.clear();
+  ps45.get(polys);
+  if(polys.size() != 1) return false;
+  std::cout << is_45(polys[0]) << std::endl;
+  std::cout << polys[0] << std::endl;
+  if(!equivalence(polys[0], p45)) {
+    std::cout << "polys don't match\n";
+    return false;
+  }
+  ps45.resize(11, SQRT1OVER2, UNFILLED);
+  polys.clear();
+  ps45.get(polys);
+  if(polys.size() != 1) return false;
+  std::cout << is_45(polys[0]) << std::endl;
+  std::cout << polys[0] << std::endl;
+  return true;
+}
+
+bool test_scaling_by_floating(){
+  Point pts[] = {
+    Point(1, 1),
+    Point(10, 1),
+    Point(1, 10)
+  };
+  Polygon45 poly(pts, pts+3);
+  Polygon45Set ps45;
+  ps45 += poly;
+  ps45.scale(double(2.5));
+  std::vector<Polygon45> polys;
+  ps45.get(polys);
+  for(unsigned int i = 0; i < polys.size(); ++i) {
+    std::cout << polys[i] << std::endl;
+    std::cout << area(polys[i]) << std::endl;
+  }
+  if(polys.size() != 1) return false;
+  if(area(polys[0]) != 242) return false;
+  scale(ps45, double(1)/double(2.5));
+  polys.clear();
+  ps45.get(polys);
+  for(unsigned int i = 0; i < polys.size(); ++i) {
+    std::cout << polys[i] << std::endl;
+  }
+  return equivalence(polys, poly);
+}
+
+bool test_directional_resize() {
+  std::vector<Rectangle> rects;
+  rects.push_back(Rectangle(0, 0, 100, 100));
+  resize(rects, -10, 10, -10, 10);
+  for(unsigned int i = 0; i < rects.size(); ++i) {
+    std::cout << rects[i] << std::endl;
+  }
+  if(rects.size() != 1) return false;
+  if(rects[0] != Rectangle(10, 10, 110, 110)) return false;
+
+  return true;
+}
+
+bool test_self_xor() {
+  std::vector<Rectangle> rects;
+  rects.push_back(Rectangle(0, 0, 10, 10));
+  rects.push_back(Rectangle(5, 5, 15, 15));
+  self_xor(rects);
+  for(unsigned int i = 0; i < rects.size(); ++i) {
+    std::cout << rects[i] << std::endl;
+  }
+  if(rects.size() == 4) return true;
+  else return false;
+}
+
+bool test_grow_and_45() {
+  polygon_45_set_data<int> ps;
+  ps.insert(Rectangle(0, 0, 5, 5));
+  ps.insert(Rectangle(5, 5, 15, 15));
+  grow_and(ps, 2);
+  std::vector<polygon_45_data<int> > rects;
+  ps.get_trapezoids(rects);
+  for(unsigned int i = 0; i < rects.size(); ++i) {
+    std::cout << rects[i] << std::endl;
+  }
+  if(rects.size() != 1) return false;
+  return equivalence(rects, Rectangle(3, 3, 7, 7));
+}
+
+bool test_self_xor_45() {
+  polygon_45_set_data<int> ps;
+  ps.insert(Rectangle(0, 0, 10, 10));
+  ps.insert(Rectangle(5, 5, 15, 15));
+  self_xor(ps);
+  std::vector<polygon_45_data<int> > rects;
+  ps.get_trapezoids(rects);
+  for(unsigned int i = 0; i < rects.size(); ++i) {
+    std::cout << rects[i] << std::endl;
+  }
+  if(rects.size() == 4) return true;
+  else return false;
+}
+
+bool testViewCopyConstruct() {
+  PolygonSet ps1, ps2;
+  ps1.insert(Rectangle(0, 0, 10, 10));
+  ps2.insert(Rectangle(5, 5, 15, 15));
+  PolygonSet psr = ps1 - ps2;
+  std::vector<Rectangle> rects;
+  rects += psr;
+  for(unsigned int i = 0; i < rects.size(); ++i)
+    std::cout << rects[i] << std::endl;
+  if( rects.size() != 2) return false;
+  Polygon45Set ps45_1, ps45_2;
+  ps45_1.insert(Rectangle(0, 0, 10, 10));
+  ps45_2.insert(Rectangle(5, 5, 15, 15));
+  Polygon45Set ps45_r = ps45_1 - ps45_2;
+  std::vector<Polygon45> polys;
+  ps45_r.get_trapezoids(polys);
+  for(unsigned int i = 0; i < polys.size(); ++i)
+    std::cout << polys[i] << std::endl;
+  if( polys.size() != 2) return false;
+  return true;
+}
+
+bool testpip() {
+  std::vector<Point> pts;
+  pts.push_back(Point(0, 0));
+  pts.push_back(Point(10, 0));
+  pts.push_back(Point(20, 10));
+  pts.push_back(Point(0, 20));
+  pts.push_back(Point(30, 40));
+  pts.push_back(Point(-10, 50));
+  pts.push_back(Point(-20, -20));
+  pts.push_back(Point(0, 0));
+  polygon_data<int> poly;
+  polygon_with_holes_data<int> poly2;
+  polygon_45_data<int> poly45;
+  polygon_45_with_holes_data<int> poly245;
+  polygon_90_data<int> poly90;
+  polygon_90_with_holes_data<int> poly290;
+  poly.set(pts.begin(), pts.end());
+  poly2.set(pts.begin(), pts.end());
+  assign(poly45, Rectangle(0, 0, 100, 100));
+  assign(poly245, Rectangle(0, 0, 100, 100));
+  assign(poly90, Rectangle(0, 0, 100, 100));
+  assign(poly290, Rectangle(0, 0, 100, 100));
+  for(unsigned int i = 0; i < pts.size(); ++i) {
+    if(!contains(poly, pts[i], true)) return false;
+    if(contains(poly, pts[i], false)) return false;
+    if(!contains(poly2, pts[i], true)) return false;
+    if(contains(poly2, pts[i], false)) return false;
+  }
+  if(!contains(poly45, pts[0], true)) return false;
+  if(contains(poly245, pts[0], false)) return false;
+  if(!contains(poly90, pts[0], true)) return false;
+  if(contains(poly290, pts[0], false)) return false;
+  Point pt(0, -10);
+  if(contains(poly, pt)) return false;
+  Point p2(0, 1);
+  if(!contains(poly, p2)) return false;
+  return true;
+}
+
+void testHand() {
+  using namespace gtl;
+  int handcoords[] = {
+12375, 11050, 13175, 10200, 15825, 9275, 18750, 8525, 24150, 8300, 27575, 8400, 31775, 7800,
+35975, 7200, 41375, 4800, 42575, 4200, 43175, 4200, 47375, 2400, 49175, 1800, 51150, 2200,
+52275, 2825, 52625, 4150, 52375, 4975, 51575, 6000, 49275, 6850, 45700, 7950, 43175, 9600,
+39575, 10800, 37775, 12000, 37775, 12600, 37775, 13800, 38975, 14400, 41375, 14400, 45575, 13200,
+48600, 13000, 51575, 13200, 55175, 12600, 58775, 12600, 61175, 13200, 62375, 14400, 62550, 15700,
+61975, 16875, 60775, 17600, 60100, 17675, 58525, 17675, 56150, 17575, 52175, 18000, 47975, 18600,
+45575, 19200, 44375, 19200, 42675, 19325, 41600, 19775, 41600, 20500, 42100, 20825, 44975, 20400,
+48575, 20400, 52775, 21000, 53975, 21000, 57575, 21000, 62375, 21000, 65450, 22000, 66300, 23100,
+66100, 24550, 64750, 25925, 62975, 26400, 61175, 26400, 58775, 26400, 56025, 26050, 53450, 26025,
+50975, 26400, 48575, 26400, 46775, 26400, 43650, 26075, 41375, 26400, 40775, 27000, 40775, 27600,
+42225, 28650, 44375, 29400, 48575, 30000, 50975, 31200, 53975, 31800, 58775, 33000, 61200, 34300,
+62375, 35400, 62375, 37200, 61175, 38400, 60000, 38700, 57575, 38400, 54550, 37575, 50975, 36600,
+49075, 36125, 47750, 36125, 45700, 35425, 42350, 34350, 38900, 33775, 30575, 33000, 26975, 33600,
+25975, 34900, 26375, 36600, 28175, 38400, 30575, 40800, 32375, 43800, 33200, 46200, 33200, 48000,
+32650, 49300, 31425, 50000, 29950, 50125, 28825, 49375, 27575, 48000, 25825, 46000, 23975, 44100,
+22175, 42600, 19775, 39600, 17325, 37300, 14975, 34800, 13175, 31800, 10775, 29400, 9600, 27400,
+10175, 27000, 11375, 27600, 12575, 28800, 14375, 31800, 16175, 34800, 18575, 37200, 21575, 39000,
+22775, 40200, 23975, 41400, 24575, 42600, 26375, 44400, 28325, 46000, 29850, 46775, 31175, 46200,
+31550, 44575, 30575, 43200, 28775, 40800, 25775, 38400, 24575, 34800, 24750, 33175, 26975, 31800,
+29975, 31800, 33575, 31800, 37775, 32400, 39575, 33000, 41975, 33600, 45150, 34175, 46975, 34750,
+48575, 35400, 50975, 35400, 51575, 34800, 51875, 33725, 50775, 32575, 48575, 31800, 45750, 30875,
+43775, 30600, 41375, 29400, 38975, 28800, 35975, 28200, 34775, 27600, 34175, 27000, 34775, 25800,
+37175, 25200, 40175, 25200, 43175, 25200, 46775, 25200, 50975, 25425, 53375, 25200, 55175, 24600,
+55525, 23450, 53975, 22200, 52775, 22200, 49075, 21850, 45950, 21925, 40775, 21600, 37775, 21600,
+35150, 21350, 34325, 20950, 34175, 19800, 35975, 19200, 38375, 19200, 40750, 18900, 42575, 18600,
+44375, 18000, 47975, 17400, 50375, 17125, 52025, 16625, 52775, 15600, 52100, 14625, 49675, 14125,
+48625, 14125, 46775, 14400, 44375, 15000, 41375, 15150, 37700, 15275, 34775, 15600, 32850, 15925,
+31775, 15600, 31425, 14875, 32375, 13800, 36575, 11400, 38975, 10200, 41375, 9000, 43075, 8150,
+43650, 7200, 43325, 6250, 42225, 5825, 40800, 6275, 38900, 6925, 35375, 8400, 32375, 10200,
+27575, 11400, 22775, 12600, 19775, 13225, 16775, 13800, 14975, 14400, 13050, 14000, 11975, 12600,
+    0, 0 };
+  std::vector<Point> handpoints;
+  for(unsigned int i = 0; i < 100000; i += 2) {
+    Point pt(handcoords[i], handcoords[i+1]);
+    if(pt == Point(0, 0)) break;
+    handpoints.push_back(pt);
+  }
+  polygon_data<int> handpoly;
+  handpoly.set(handpoints.begin(), handpoints.end());
+  int spiralcoords [] = {
+37200, 3600, 42075, 4025, 47475, 5875, 51000, 7800, 55800, 12300, 59000, 17075, 60000, 20400,
+61200, 25800, 61200, 29400, 60600, 33600, 58800, 38400, 55800, 42600, 53200, 45625,
+49200, 48600, 43200, 51000, 35400, 51600, 29400, 50400, 23400, 47400, 19200, 43800,
+16200, 39600, 14400, 35400, 13200, 29400, 13200, 24000, 15000, 18600, 17400, 13800,
+20525, 10300, 24600, 7200, 29400, 4800, 32450, 4000, 34825, 3675, 35625, 3625,
+35825, 7275, 39600, 7200, 43800, 8400, 46800, 9600, 50400, 12000, 53400, 15000,
+55800, 18600, 57000, 23400, 57600, 27000, 57000, 32400, 55200, 37200, 52200, 41400,
+48000, 45000, 42000, 47400, 35400, 48000, 30000, 46800, 24600, 43800, 20325, 39100,
+17850, 34275, 16800, 27600, 17400, 22200, 20400, 16200, 24600, 11400, 28800, 9000,
+32400, 7800, 33200, 7575, 33925, 11050, 35400, 10800, 37200, 10800, 41400, 11400,
+46200, 13200, 49800, 16200, 51600, 19200, 53400, 23400, 54000, 29400, 52800, 33600,
+49800, 39000, 45000, 42600, 39000, 44400, 33600, 43800, 28200, 42000, 24000, 37800,
+21000, 33000, 20400, 26400, 21600, 21000, 24600, 16200, 28200, 13200, 31875, 11625,
+33200, 15625, 36000, 15000, 39000, 15000, 43800, 16800, 46800, 19200, 49200, 23400,
+49800, 27600, 48750, 32700, 46350, 36275, 42600, 39000, 38400, 40200, 31800, 39000,
+28200, 36600, 25200, 31200, 24600, 26400, 26025, 21800, 28200, 18600, 30600, 16800,
+32575, 19875, 34200, 19200, 36000, 18600, 37200, 18600, 40375, 19125, 43200, 21000,
+45600, 24000, 46200, 27600, 45600, 30600, 43800, 33600, 41475, 35625, 37800, 36600,
+33600, 36000, 30000, 33600, 28200, 28800, 28800, 24600, 30000, 22200, 31200, 23400,
+30600, 25200, 30000, 27000, 30600, 30000, 31800, 32400, 34200, 34200, 38400, 34800,
+41400, 33000, 44025, 30225, 44400, 26400, 43200, 23400, 40900, 21200, 37800, 20400,
+34950, 20675, 32400, 22200, 30175, 19475, 28425, 21300, 27000, 24000, 26400, 27600,
+27000, 31800, 31200, 36600, 36600, 38400, 42600, 37200, 46200, 33600, 48000, 30000,
+47650, 24425, 45600, 20400, 42650, 18200, 39000, 16800, 35400, 16800, 33600, 17400,
+32875, 17675, 31100, 13850, 28200, 15600, 25200, 18600, 22800, 22800, 22200, 27000,
+23400, 33600, 26400, 38400, 31675, 41575, 37800, 42600, 40850, 42150, 42800, 41550,
+47050, 39025, 50100, 35375, 52200, 29400, 51675, 23950, 49800, 19200, 46200, 15600,
+41400, 13200, 37800, 12600, 35025, 12750, 33350, 13050, 32400, 9600, 30025, 10325,
+25925, 12725, 22200, 16800, 19800, 21000, 18600, 25800, 18600, 30000, 20400, 35400,
+22575, 39250, 25225, 41825, 28200, 43800, 33600, 46200, 39000, 46200, 44400, 45000,
+48650, 42350, 52800, 37800, 55200, 32400, 55800, 26400, 54600, 21000, 53400, 18000,
+50400, 14400, 47400, 12000, 42600, 9600, 39000, 9000, 36000, 9000, 34775, 9125,
+34300, 5600, 30000, 6600, 25800, 8400, 22025, 11350, 18725, 15125, 16200, 20400,
+15000, 24600, 15000, 30600, 16800, 36600, 20400, 42600, 25800, 46800, 31200, 49200,
+38400, 49800, 45000, 48600, 51000, 45000, 55475, 40225, 58200, 34800, 59400, 30000,
+59400, 25200, 58200, 19800, 55200, 14400, 52225, 11150, 47400, 7800, 44175, 6500,
+40200, 5400, 38400, 5400, 37200, 5400, 0, 0 };
+  std::vector<Point> spiralpoints;
+  for(unsigned int i = 0; i < 100000; i += 2) {
+    Point pt(spiralcoords[i], spiralcoords[i+1]);
+    if(pt == Point(0, 0)) break;
+    spiralpoints.push_back(pt);
+  }
+  polygon_data<int> spiralpoly;
+  spiralpoly.set(spiralpoints.begin(), spiralpoints.end());
+  polygon_set_data<int> handset;
+  handset += handpoly;
+  polygon_set_data<int> spiralset;
+  spiralset += spiralpoly;
+  polygon_set_data<int> xorset = handset ^ spiralset;
+  std::vector<polygon_data<int> > polys;
+  polys += xorset;
+  std::cout << polys.size() << std::endl;
+  for(unsigned int i = 0; i < polys.size(); ++i)
+    std::cout << polys[i] << std::endl;
+}
+
+//void testHandFloat() {
+//  using namespace gtl;
+//  double handcoords[] = {
+//12375, 11050, 13175, 10200, 15825, 9275, 18750, 8525, 24150, 8300, 27575, 8400, 31775, 7800,
+//35975, 7200, 41375, 4800, 42575, 4200, 43175, 4200, 47375, 2400, 49175, 1800, 51150, 2200,
+//52275, 2825, 52625, 4150, 52375, 4975, 51575, 6000, 49275, 6850, 45700, 7950, 43175, 9600,
+//39575, 10800, 37775, 12000, 37775, 12600, 37775, 13800, 38975, 14400, 41375, 14400, 45575, 13200,
+//48600, 13000, 51575, 13200, 55175, 12600, 58775, 12600, 61175, 13200, 62375, 14400, 62550, 15700,
+//61975, 16875, 60775, 17600, 60100, 17675, 58525, 17675, 56150, 17575, 52175, 18000, 47975, 18600,
+//45575, 19200, 44375, 19200, 42675, 19325, 41600, 19775, 41600, 20500, 42100, 20825, 44975, 20400,
+//48575, 20400, 52775, 21000, 53975, 21000, 57575, 21000, 62375, 21000, 65450, 22000, 66300, 23100,
+//66100, 24550, 64750, 25925, 62975, 26400, 61175, 26400, 58775, 26400, 56025, 26050, 53450, 26025,
+//50975, 26400, 48575, 26400, 46775, 26400, 43650, 26075, 41375, 26400, 40775, 27000, 40775, 27600,
+//42225, 28650, 44375, 29400, 48575, 30000, 50975, 31200, 53975, 31800, 58775, 33000, 61200, 34300,
+//62375, 35400, 62375, 37200, 61175, 38400, 60000, 38700, 57575, 38400, 54550, 37575, 50975, 36600,
+//49075, 36125, 47750, 36125, 45700, 35425, 42350, 34350, 38900, 33775, 30575, 33000, 26975, 33600,
+//25975, 34900, 26375, 36600, 28175, 38400, 30575, 40800, 32375, 43800, 33200, 46200, 33200, 48000,
+//32650, 49300, 31425, 50000, 29950, 50125, 28825, 49375, 27575, 48000, 25825, 46000, 23975, 44100,
+//22175, 42600, 19775, 39600, 17325, 37300, 14975, 34800, 13175, 31800, 10775, 29400, 9600, 27400,
+//10175, 27000, 11375, 27600, 12575, 28800, 14375, 31800, 16175, 34800, 18575, 37200, 21575, 39000,
+//22775, 40200, 23975, 41400, 24575, 42600, 26375, 44400, 28325, 46000, 29850, 46775, 31175, 46200,
+//31550, 44575, 30575, 43200, 28775, 40800, 25775, 38400, 24575, 34800, 24750, 33175, 26975, 31800,
+//29975, 31800, 33575, 31800, 37775, 32400, 39575, 33000, 41975, 33600, 45150, 34175, 46975, 34750,
+//48575, 35400, 50975, 35400, 51575, 34800, 51875, 33725, 50775, 32575, 48575, 31800, 45750, 30875,
+//43775, 30600, 41375, 29400, 38975, 28800, 35975, 28200, 34775, 27600, 34175, 27000, 34775, 25800,
+//37175, 25200, 40175, 25200, 43175, 25200, 46775, 25200, 50975, 25425, 53375, 25200, 55175, 24600,
+//55525, 23450, 53975, 22200, 52775, 22200, 49075, 21850, 45950, 21925, 40775, 21600, 37775, 21600,
+//35150, 21350, 34325, 20950, 34175, 19800, 35975, 19200, 38375, 19200, 40750, 18900, 42575, 18600,
+//44375, 18000, 47975, 17400, 50375, 17125, 52025, 16625, 52775, 15600, 52100, 14625, 49675, 14125,
+//48625, 14125, 46775, 14400, 44375, 15000, 41375, 15150, 37700, 15275, 34775, 15600, 32850, 15925,
+//31775, 15600, 31425, 14875, 32375, 13800, 36575, 11400, 38975, 10200, 41375, 9000, 43075, 8150,
+//43650, 7200, 43325, 6250, 42225, 5825, 40800, 6275, 38900, 6925, 35375, 8400, 32375, 10200,
+//27575, 11400, 22775, 12600, 19775, 13225, 16775, 13800, 14975, 14400, 13050, 14000, 11975, 12600,
+//    0, 0 };
+//  std::vector<point_data<double> > handpoints;
+//  for(unsigned int i = 0; i < 100000; i += 2) {
+//    point_data<double>  pt(handcoords[i], handcoords[i+1]);
+//    if(pt == point_data<double> (0, 0)) break;
+//    handpoints.push_back(pt);
+//  }
+//  polygon_data<double> handpoly;
+//  handpoly.set(handpoints.begin(), handpoints.end());
+//  double spiralcoords [] = {
+//37200, 3600, 42075, 4025, 47475, 5875, 51000, 7800, 55800, 12300, 59000, 17075, 60000, 20400,
+//61200, 25800, 61200, 29400, 60600, 33600, 58800, 38400, 55800, 42600, 53200, 45625,
+//49200, 48600, 43200, 51000, 35400, 51600, 29400, 50400, 23400, 47400, 19200, 43800,
+//16200, 39600, 14400, 35400, 13200, 29400, 13200, 24000, 15000, 18600, 17400, 13800,
+//20525, 10300, 24600, 7200, 29400, 4800, 32450, 4000, 34825, 3675, 35625, 3625,
+//35825, 7275, 39600, 7200, 43800, 8400, 46800, 9600, 50400, 12000, 53400, 15000,
+//55800, 18600, 57000, 23400, 57600, 27000, 57000, 32400, 55200, 37200, 52200, 41400,
+//48000, 45000, 42000, 47400, 35400, 48000, 30000, 46800, 24600, 43800, 20325, 39100,
+//17850, 34275, 16800, 27600, 17400, 22200, 20400, 16200, 24600, 11400, 28800, 9000,
+//32400, 7800, 33200, 7575, 33925, 11050, 35400, 10800, 37200, 10800, 41400, 11400,
+//46200, 13200, 49800, 16200, 51600, 19200, 53400, 23400, 54000, 29400, 52800, 33600,
+//49800, 39000, 45000, 42600, 39000, 44400, 33600, 43800, 28200, 42000, 24000, 37800,
+//21000, 33000, 20400, 26400, 21600, 21000, 24600, 16200, 28200, 13200, 31875, 11625,
+//33200, 15625, 36000, 15000, 39000, 15000, 43800, 16800, 46800, 19200, 49200, 23400,
+//49800, 27600, 48750, 32700, 46350, 36275, 42600, 39000, 38400, 40200, 31800, 39000,
+//28200, 36600, 25200, 31200, 24600, 26400, 26025, 21800, 28200, 18600, 30600, 16800,
+//32575, 19875, 34200, 19200, 36000, 18600, 37200, 18600, 40375, 19125, 43200, 21000,
+//45600, 24000, 46200, 27600, 45600, 30600, 43800, 33600, 41475, 35625, 37800, 36600,
+//33600, 36000, 30000, 33600, 28200, 28800, 28800, 24600, 30000, 22200, 31200, 23400,
+//30600, 25200, 30000, 27000, 30600, 30000, 31800, 32400, 34200, 34200, 38400, 34800,
+//41400, 33000, 44025, 30225, 44400, 26400, 43200, 23400, 40900, 21200, 37800, 20400,
+//34950, 20675, 32400, 22200, 30175, 19475, 28425, 21300, 27000, 24000, 26400, 27600,
+//27000, 31800, 31200, 36600, 36600, 38400, 42600, 37200, 46200, 33600, 48000, 30000,
+//47650, 24425, 45600, 20400, 42650, 18200, 39000, 16800, 35400, 16800, 33600, 17400,
+//32875, 17675, 31100, 13850, 28200, 15600, 25200, 18600, 22800, 22800, 22200, 27000,
+//23400, 33600, 26400, 38400, 31675, 41575, 37800, 42600, 40850, 42150, 42800, 41550,
+//47050, 39025, 50100, 35375, 52200, 29400, 51675, 23950, 49800, 19200, 46200, 15600,
+//41400, 13200, 37800, 12600, 35025, 12750, 33350, 13050, 32400, 9600, 30025, 10325,
+//25925, 12725, 22200, 16800, 19800, 21000, 18600, 25800, 18600, 30000, 20400, 35400,
+//22575, 39250, 25225, 41825, 28200, 43800, 33600, 46200, 39000, 46200, 44400, 45000,
+//48650, 42350, 52800, 37800, 55200, 32400, 55800, 26400, 54600, 21000, 53400, 18000,
+//50400, 14400, 47400, 12000, 42600, 9600, 39000, 9000, 36000, 9000, 34775, 9125,
+//34300, 5600, 30000, 6600, 25800, 8400, 22025, 11350, 18725, 15125, 16200, 20400,
+//15000, 24600, 15000, 30600, 16800, 36600, 20400, 42600, 25800, 46800, 31200, 49200,
+//38400, 49800, 45000, 48600, 51000, 45000, 55475, 40225, 58200, 34800, 59400, 30000,
+//59400, 25200, 58200, 19800, 55200, 14400, 52225, 11150, 47400, 7800, 44175, 6500,
+//40200, 5400, 38400, 5400, 37200, 5400, 0, 0 };
+//  std::vector<point_data<double> > spiralpoints;
+//  for(unsigned int i = 0; i < 100000; i += 2) {
+//    point_data<double>  pt(spiralcoords[i], spiralcoords[i+1]);
+//    if(pt == point_data<double> (0, 0)) break;
+//    spiralpoints.push_back(pt);
+//  }
+//  polygon_data<double> spiralpoly;
+//  spiralpoly.set(spiralpoints.begin(), spiralpoints.end());
+//  polygon_set_data<double> handset;
+//  handset += handpoly;
+//  polygon_set_data<double> spiralset;
+//  spiralset += spiralpoly;
+//  polygon_set_data<double> xorset = handset ^ spiralset;
+//  std::vector<polygon_data<double> > polys;
+//  polys += xorset;
+//  std::cout << polys.size() << std::endl;
+//  for(unsigned int i = 0; i < polys.size(); ++i)
+//    std::cout << polys[i] << std::endl;
+//}
+
+bool testDirectionalSize() {
+  {
+    PolygonSet ps(VERTICAL);
+    ps += Rectangle(0, 0, 100, 100);
+    ps.resize(0, -10, 0, -10);
+    std::vector<Rectangle> rects;
+    ps.get(rects);
+    if(rects.size() != 1) return false;
+    std::cout << rects[0] << std::endl;
+    std::cout << Rectangle(0, 0, 90, 90) << std::endl;
+    if(rects[0] != Rectangle(0, 0, 90, 90)) return false;
+  }
+  {
+    PolygonSet ps(VERTICAL);
+    ps += Rectangle(0, 0, 100, 100);
+    ps.resize(0, 0, 0, -10);
+    std::vector<Rectangle> rects;
+    ps.get(rects);
+    if(rects.size() != 1) return false;
+    std::cout << rects[0] << std::endl;
+    std::cout << Rectangle(0, 0, 100, 90) << std::endl;
+    if(rects[0] != Rectangle(0, 0, 100, 90)) return false;
+  }
+  {
+    PolygonSet ps;
+    ps += Rectangle(0, 0, 100, 100);
+    ps.resize(0, -10, 0, 0);
+    std::vector<Rectangle> rects;
+    ps.get(rects);
+    if(rects.size() != 1) return false;
+    std::cout << rects[0] << std::endl;
+    std::cout << Rectangle(0, 0, 90, 100) << std::endl;
+    if(rects[0] != Rectangle(0, 0, 90, 100)) return false;
+  }
+  {
+    PolygonSet ps;
+    ps += Rectangle(0, 0, 100, 100);
+    ps.resize(0, 0, -10, 0);
+    std::vector<Rectangle> rects;
+    ps.get(rects);
+    if(rects.size() != 1) return false;
+    std::cout << rects[0] << std::endl;
+    std::cout << Rectangle(0, 10, 100, 100) << std::endl;
+    if(rects[0] != Rectangle(0, 10, 100, 100)) return false;
+  }
+  {
+    PolygonSet ps;
+    ps += Rectangle(0, 0, 100, 100);
+    ps.resize(-10, 0, 0, 0);
+    std::vector<Rectangle> rects;
+    ps.get(rects);
+    if(rects.size() != 1) return false;
+    std::cout << rects[0] << std::endl;
+    std::cout << Rectangle(10, 0, 100, 100) << std::endl;
+    if(rects[0] != Rectangle(10, 0, 100, 100)) return false;
+  }
+  {
+    PolygonSet ps;
+    ps += Rectangle(0, 0, 100, 100);
+    ps.resize(-10, 10, 0, 0);
+    std::vector<Rectangle> rects;
+    ps.get(rects);
+    if(rects.size() != 1) return false;
+    std::cout << rects[0] << std::endl;
+    std::cout << Rectangle(10, 0, 110, 100) << std::endl;
+    if(rects[0] != Rectangle(10, 0, 110, 100)) return false;
+  }
+  {
+    PolygonSet ps;
+    ps += Rectangle(0, 0, 100, 100);
+    ps.resize(-10, 10, 10, -10);
+    std::vector<Rectangle> rects;
+    ps.get(rects);
+    if(rects.size() != 1) return false;
+    std::cout << rects[0] << std::endl;
+    std::cout << Rectangle(10, -10, 110, 90) << std::endl;
+    if(rects[0] != Rectangle(10, -10, 110, 90)) return false;
+  }
+  {
+    PolygonSet ps;
+    ps += Rectangle(0, 0, 100, 100);
+    ps.resize(10, 10, -10, -10);
+    std::vector<Rectangle> rects;
+    ps.get(rects);
+    if(rects.size() != 1) return false;
+    std::cout << rects[0] << std::endl;
+    std::cout << Rectangle(-10, 10, 110, 90) << std::endl;
+    if(rects[0] != Rectangle(-10, 10, 110, 90)) return false;
+  }
+  return true;
+}
+
+bool testMaxCover() {
+  std::vector<Rectangle> rects;
+  rects.push_back(Rectangle(Interval(60, 124), Interval( 1, 3)));
+  rects.push_back(Rectangle(Interval(59, 83), Interval( 9, 28)));
+  rects.push_back(Rectangle(Interval(90, 124), Interval( 3, 29)));
+  rects.push_back(Rectangle(Interval(64, 124), Interval( 29, 35)));
+  rects.push_back(Rectangle(Interval(64, 102), Interval( 35, 49)));
+  rects.push_back(Rectangle(Interval(1, 20), Interval( 44, 60)));
+  rects.push_back(Rectangle(Interval(50, 102), Interval( 49, 71)));
+  rects.push_back(Rectangle(Interval(49, 102), Interval( 71, 72)));
+  rects.push_back(Rectangle(Interval(49, 94), Interval( 72, 75)));
+  rects.push_back(Rectangle(Interval(50, 74), Interval( 75, 81)));
+  rects.push_back(Rectangle(Interval(90, 127), Interval( 75, 81)));
+  rects.push_back(Rectangle(Interval(50, 127), Interval( 81, 82)));
+  rects.push_back(Rectangle(Interval(3, 7), Interval( 60, 88)));
+  rects.push_back(Rectangle(Interval(50, 92), Interval( 82, 94)));
+  rects.push_back(Rectangle(Interval(58, 92), Interval( 94, 111)));
+  std::vector<Rectangle> expected_result;
+  expected_result.push_back(Rectangle(Interval(60, 124), Interval( 1, 3)));
+  expected_result.push_back(Rectangle(Interval(90, 124), Interval( 1, 35)));
+  expected_result.push_back(Rectangle(Interval(90, 102), Interval( 1, 72)));
+  expected_result.push_back(Rectangle(Interval(90, 94 ), Interval(1 ,82)));
+  expected_result.push_back(Rectangle(Interval(90, 92), Interval( 1, 111)));
+  expected_result.push_back(Rectangle(Interval(59, 83 ), Interval(9, 28)));
+  expected_result.push_back(Rectangle(Interval(64, 124), Interval( 29, 35)));
+  expected_result.push_back(Rectangle(Interval(64, 102), Interval( 29, 72)));
+  expected_result.push_back(Rectangle(Interval(64, 94), Interval( 29, 75)));
+  expected_result.push_back(Rectangle(Interval(64, 74), Interval( 29, 111)));
+  expected_result.push_back(Rectangle(Interval(1, 20), Interval( 44, 60)));
+  expected_result.push_back(Rectangle(Interval(3, 7), Interval( 44, 88)));
+  expected_result.push_back(Rectangle(Interval(50, 102 ), Interval(49, 72)));
+  expected_result.push_back(Rectangle(Interval(50, 94), Interval( 49, 75)));
+  expected_result.push_back(Rectangle(Interval(50, 74), Interval( 49, 94)));
+  expected_result.push_back(Rectangle(Interval(58, 74), Interval( 49, 111)));
+  expected_result.push_back(Rectangle(Interval(49, 102 ), Interval(71, 72)));
+  expected_result.push_back(Rectangle(Interval(49, 94 ), Interval(71, 75)));
+  expected_result.push_back(Rectangle(Interval(90, 127), Interval( 75, 82)));
+  expected_result.push_back(Rectangle(Interval(50, 127), Interval( 81, 82)));
+  expected_result.push_back(Rectangle(Interval(50, 92), Interval( 81, 94)));
+  expected_result.push_back(Rectangle(Interval(58, 92), Interval( 81, 111)));
+  std::vector<Rectangle> result;
+  get_max_rectangles(result, rects);
+  std::cout << "result XOR clean: " << equivalence(result, rects) << std::endl;
+  std::cout << "expected result XOR clean: " << equivalence(expected_result, rects) << std::endl;
+  std::vector<Rectangle>& output = result;
+  std::vector<Rectangle>& voutput = expected_result;
+  std::sort(output.begin(), output.end(), less_rectangle_concept< Rectangle, Rectangle>());
+  std::sort(voutput.begin(), voutput.end(), less_rectangle_concept< Rectangle, Rectangle>());
+  if(output != voutput) {
+    std::cerr << "Max Rectangle TEST failed\n";
+    for(unsigned int i = 0; i < output.size(); ++i) {
+      std::cerr << output[i] << std::endl;
+    }
+    std::cerr << "Incorrect result\n";
+    for(unsigned int i = 0; i < voutput.size(); ++i) {
+      std::cerr << voutput[i] << std::endl;
+    }
+    std::cerr << "Max Rectangle TEST failed\n";
+    for(unsigned int i = 0; i < rects.size(); ++i) {
+      std::cout << rects[i] << std::endl;
+    }
+    return false;
+  }
+  return true;
+}
+
+void max_cover_stress_test() {
+  for(unsigned int k = 3; k < 20; k++) {
+    for(unsigned int i = 0; i < k * k; ++i) {
+      std::vector<Rectangle> rects, result;
+      //std::cout << "test " << i << std::endl;
+      for(unsigned int j = 0; j < k; ++j) {
+        int x1 = rand() % 100;
+        int x2 = rand() % 50;
+        int y1 = rand() % 100;
+        int y2 = rand() % 50;
+        rects.push_back(Rectangle(x1, y1, x1+x2, y1+y2));
+        //std::cout << rects.back() << std::endl;
+      }
+      get_max_rectangles(result, rects);
+    }
+  }
+}
+
+// namespace boost { namespace polygon{
+//   template <typename GCT, typename T>
+//   struct view_of {};
+
+//   template <typename T>
+//   struct view_of<polygon_45_concept, T> {
+//     const T* t;
+//     view_of(const T& obj) : t(&obj) {}
+//     typedef typename polygon_traits<T>::coordinate_type coordinate_type;
+//     typedef typename polygon_traits<T>::iterator_type iterator_type;
+//     typedef typename polygon_traits<T>::point_type point_type;
+
+//     /// Get the begin iterator
+//     inline iterator_type begin() const {
+//       return polygon_traits<T>::begin_points(*t);
+//     }
+
+//     /// Get the end iterator
+//     inline iterator_type end() const {
+//       return polygon_traits<T>::end_points(*t);
+//     }
+
+//     /// Get the number of sides of the polygon
+//     inline unsigned int size() const {
+//       return polygon_traits<T>::size(*t);
+//     }
+
+//     /// Get the winding direction of the polygon
+//     inline winding_direction winding() const {
+//       return polygon_traits<T>::winding(*t);
+//     }
+//   };
+
+//   template <typename T1, typename T2>
+//   view_of<T1, T2> view_as(const T2& obj) { return view_of<T1, T2>(obj); }
+
+//   template <typename T>
+//   struct geometry_concept<view_of<polygon_45_concept, T> > {
+//     typedef polygon_45_concept type;
+//   };
+
+//   template <typename T>
+//   struct view_of<polygon_90_concept, T> {
+//     const T* t;
+//     view_of(const T& obj) : t(&obj) {}
+//     typedef typename polygon_traits<T>::coordinate_type coordinate_type;
+//     typedef typename polygon_traits<T>::iterator_type iterator_type;
+//     typedef typename polygon_traits<T>::point_type point_type;
+//     typedef iterator_points_to_compact<iterator_type, point_type> compact_iterator_type;
+
+//     /// Get the begin iterator
+//     inline compact_iterator_type begin_compact() const {
+//       return compact_iterator_type(polygon_traits<T>::begin_points(*t),
+//                                    polygon_traits<T>::end_points(*t));
+//     }
+
+//     /// Get the end iterator
+//     inline compact_iterator_type end_compact() const {
+//       return compact_iterator_type(polygon_traits<T>::end_points(*t),
+//                                    polygon_traits<T>::end_points(*t));
+//     }
+
+//     /// Get the number of sides of the polygon
+//     inline unsigned int size() const {
+//       return polygon_traits<T>::size(*t);
+//     }
+
+//     /// Get the winding direction of the polygon
+//     inline winding_direction winding() const {
+//       return polygon_traits<T>::winding(*t);
+//     }
+//   };
+
+//   template <typename T>
+//   struct geometry_concept<view_of<polygon_90_concept, T> > {
+//     typedef polygon_90_concept type;
+//   };
+// }}
+using namespace gtl;
+
+//this test fails and I'd like to get it to pass
+bool test_colinear_duplicate_points() {
+  Point pts[6] = { Point(0, 10), Point(0, 0), Point(100, 0), Point(100, 100), Point(0, 100), Point(0, 10)};
+  Polygon45 p1;
+  p1.set(pts, pts+5);
+  Polygon45 pg;
+  pg.set(pts, pts+6);
+  Polygon45 p2;
+  p2.set(pts+1, pts+6);
+  std::cout << p2 << std::endl;
+  if(!equivalence(view_as<polygon_90_concept>(p2), view_as<polygon_90_concept>(pg))) return false;
+  std::cout << p1 << std::endl;
+  if(!equivalence(view_as<polygon_90_concept>(p1), view_as<polygon_90_concept>(pg))) return false;
+  return true;
+}
+
+bool test_extents() {
+  PolygonSet psT(gtl::VERTICAL);
+  //int xy[] = { 126, 69, 54, 69, 54, 81, 126, 81 };
+  //CPolygonQuery polygon(0, 4, xy);
+  //Rectangle rectIn(54, 69, 126, 81);
+  polygon_data<int> polygon;
+  std::vector<Point> pts;
+  pts.push_back(Point(126, 69));
+  pts.push_back(Point(54, 69));
+  pts.push_back(Point(54, 81));
+  pts.push_back(Point(126, 81));
+  set_points(polygon, pts.begin(), pts.end());
+  psT.insert(view_as<polygon_90_concept>(polygon));
+
+  Rectangle rect, rect2;
+  psT.extents(rect2);
+  gtl::extents(rect, psT);
+
+  if (rect != rect2) {
+    std::cout << "gtl::Rectangles differ: " << gtl::xl(rect)  << " " << gtl::xh(rect)  << " " << gtl::yl(rect)  << " " << gtl::yh(rect)  <<     std::endl;
+        std::cout << "                        " << gtl::xl(rect2) << " " << gtl::xh(rect2) << " " << gtl::yl(rect2) << " " << gtl::yh(rect2) <<     std::endl;
+    return false;
+  }
+  return true;
+}
+
+bool test_extents2() {
+  Polygon45Set psT;
+  Point xy[] = { Point(130, 50),   Point(50, 50),   Point(50, 100),   Point(119, 100),
+                 Point(119, 59),   Point(89, 89),   Point(59, 59),   Point(119, 59),   Point(119, 100),  Point(130, 100) };
+  Polygon45 polygon(xy, xy+10);
+
+  psT.insert(polygon);
+  psT += 2;
+
+  Rectangle rect, rect2;
+  psT.extents(rect2);
+  gtl::extents(rect, psT);
+  std::cout << "Extents: " << gtl::xl(rect)   << " " << gtl::xh(rect)   << " " << gtl::yl(rect)   << " " << gtl::yh(rect)  <<   std::endl;
+    std::cout << "Extents: " << gtl::xl(rect2)  << " " << gtl::xh(rect2)  << " " << gtl::yl(rect2)  << " " << gtl::yh(rect2) <<   std::endl;
+    std::vector<Polygon45WithHoles> pwhs;
+    psT.get(pwhs);
+    for(unsigned int i = 0; i < pwhs.size(); ++i) {
+      std::cout << pwhs[i] << std::endl;
+    }
+  return gtl::equivalence(rect, rect2);
+}
+
+/*************New Polygon Formation Tests********************/
+/*
+ *
+ * Test Input:
+ * +--------------------+
+ * |        +-------+   |
+ * |        |       |   |
+ * |        |       |   |
+ * +-----+  |       |   |
+ *       |  |       |   |
+ *       |  |       |   |
+ * +-----+  |       |   |
+ * |        |       |   |
+ * |        |       |   |
+ * |        +-------+   |
+ * +--------+           |
+ *          |           |
+ *          |           |
+ * +--------+           |
+ * |                    |
+ * |                    |
+ * +--------+           |
+ *          |           |
+ *          |           |
+ * +--------+           |
+ * |                    |
+ * |                    |
+ * +--------------------+
+ *
+ * Test Plan: 
+ * a. call 'get(out, param)' , param >=4 
+ * b. check if each polygon in the container is <= param
+ * c. check the area of all the pieces sum up to original piece
+ */
+typedef int intDC;
+typedef boost::polygon::polygon_90_with_holes_data<intDC> GTLPolygon;
+typedef boost::polygon::polygon_90_set_data<intDC> GTLPolygonSet;
+typedef boost::polygon::polygon_90_concept GTLPolygonConcept;
+typedef boost::polygon::point_data<intDC> GTLPoint;
+inline void PrintPolygon(const GTLPolygon&);
+inline GTLPolygon CreateGTLPolygon(const int*, size_t); 
+int test_new_polygon_formation(int argc, char** argv){
+   //                                               //
+   // Sub-Test-1: do a Boolean and call the new get //
+   //                                               //
+   int coordinates[] = {0,0, 10,0, 10,10, 0,10};
+   int coordinates1[] = {9,1, 20,1, 20,10, 9,10};
+   std::vector<GTLPoint> pts;
+   size_t count = sizeof(coordinates)/(2*sizeof(intDC)); 
+   size_t count1 = sizeof(coordinates1)/(2*sizeof(intDC));
+   GTLPolygon poly, poly1;
+   GTLPolygonSet polySet;
+   
+   poly = CreateGTLPolygon(coordinates, count);
+   poly1 = CreateGTLPolygon(coordinates1, count1);
+
+   polySet.insert(poly);
+   polySet.insert(poly1);
+
+   std::vector<GTLPolygon> result;
+   polySet.get(result, 100);
+
+   if(result.size() > 1){
+      std::cerr << "FAILED: expecting only one polygon because the"
+         " threshold is 100" << std::endl;
+      return 1;
+   }
+
+   if(result[0].size() != 6){
+      std::cerr << "FAILED: expecting only 6 vertices" << std::endl;
+      return 1;
+   }
+
+   if(area(result[0]) != 190){
+      std::cerr <<"FAILED: expecting only 6 vertices" << std::endl;
+      return 1;
+   }
+
+   //expect no more than 1 polygon
+   std::cout << "Found " << result.size() << "polygons after union" 
+      << std::endl;
+   for(size_t i=0; i<result.size(); i++){
+      PrintPolygon(result[i]);
+   }
+
+   intDC shell_coords[] = {0,0, 10,0, 10,21, 0,21, 0,15, 3,15, 3,13,
+      0,13, 0,10, 5,10, 5,8, 0,8, 0,5, 5,5, 5,3, 0,3};
+   intDC hole_coords[] = {4,11, 7,11, 7,19, 4,19};
+   GTLPolygon slice_polygon, slice_hole;
+   count = sizeof(shell_coords)/(2*sizeof(intDC));
+   count1 = sizeof(hole_coords)/(2*sizeof(intDC));
+
+   slice_polygon = CreateGTLPolygon(shell_coords, count);
+   slice_hole = CreateGTLPolygon(hole_coords, count1);
+
+   result.clear();
+   polySet.clear();
+   polySet.insert(slice_polygon);
+   polySet.insert(slice_hole, true);
+
+   polySet.get(result);
+   double gold_area = 0;
+   std::cout << "Found " << result.size() << " slices" << std::endl;
+   for(size_t i=0; i<result.size(); i++){
+      PrintPolygon(result[i]);
+      gold_area += area(result[i]); 
+   }
+
+   result.clear();
+   polySet.get(result, 6);
+   double platinum_area = 0;
+   std::cout << "Found " << result.size() << " slices" << std::endl;
+   for(size_t i=0; i<result.size(); i++){
+      PrintPolygon(result[i]);
+      platinum_area += area(result[i]); 
+      if(result[i].size() > 6){
+         std::cerr << "FAILED: expecting size to be less than 6" << std::endl;
+         return 1;
+      }
+   }
+
+   std::cout << "platinum_area = " << platinum_area << " , gold_area=" 
+      << gold_area << std::endl;
+   if( platinum_area != gold_area){
+      std::cerr << "FAILED: Area mismatch" << std::endl;
+      return 1;
+   }
+   std::cout << "[SUB-TEST-1] PASSED\n";
+
+   result.clear();
+   polySet.get(result, 4);
+   platinum_area = 0;
+   std::cout << "Found " << result.size() << " slices" << std::endl;
+   for(size_t i=0; i<result.size(); i++){
+      PrintPolygon(result[i]);
+      platinum_area += area(result[i]); 
+      if(result[i].size() > 4){ 
+         std::cerr << "FAILED: expecting size to be < 4" << std::endl;
+         return 1;
+      }
+   }
+
+   std::cout << "platinum_area=" << platinum_area << ", gold_area=" 
+      << gold_area << std::endl;
+
+   if( platinum_area != gold_area){
+      std::cerr << "FAILED: Area mismatch" << std::endl;
+      return 1;
+   }
+
+   std::cout << "[SUB-TEST-1] PASSED" << std::endl;
+   return 0;
+}
+
+/* 
+ * INPUT:
+ *   +--------+
+ *   |        |
+ *   |        |
+ *   |        +---+
+ *   |            |
+ *   |        +---+
+ *   |        |
+ *   +--------+
+ *            X 
+ *            
+ * TEST PLAN: as the sweepline moves and reaches
+ * X the number of vertices in the solid jumps by 4
+ * instead of 2. So make sure we don't get a 6 vertex
+ * polygon when the threshold is 4 and 6.
+ */
+int test_new_polygon_formation_marginal_threshold(int argc, char**){
+   std::vector<GTLPoint> pts;
+   GTLPolygon polygon;
+   GTLPolygonSet pset;
+   std::vector<GTLPolygon> result;
+   intDC coords[] = {0,0, 15,0, 15,10, 10,10, 10,15, 5,15, 5,10, 0,10};
+   size_t count = sizeof(coords)/(2*sizeof(intDC));
+
+   polygon = CreateGTLPolygon(coords, count);
+   pset.insert(polygon);
+
+   for(size_t i=0; i<1; i++){
+      pset.get(result, i ? 4 : 6);
+      double gold_area = 175, plat_area = 0;
+      for(size_t i=0; i<result.size(); i++){
+         if(result[i].size() > (i ? 4 : 6) ){
+            size_t expected = i ? 4 : 6;
+            std::cerr << "FAILED: Expecting no more than " <<
+               expected << " vertices" << std::endl;
+            return 1;
+         }
+         PrintPolygon(result[i]);
+         plat_area += area(result[i]); 
+      }
+
+      if(plat_area != gold_area){
+         std::cerr << "FAILED area mismatch gold=" << gold_area <<
+            " plat=" << plat_area << std::endl;
+         return 1;
+      }
+   }
+   std::cout << "Test Passed" << std::endl;
+   return 0;
+}
+
+inline void PrintPolygon(const GTLPolygon& p){
+   //get an iterator of the point_data<int>
+   boost::polygon::point_data<int> pt;
+   boost::polygon::polygon_90_data<int>::iterator_type itr;
+
+   size_t vertex_id = 0;
+   for(itr = p.begin(); itr != p.end(); ++itr){
+      pt = *itr;
+      std::cout << "Vertex-" << ++vertex_id << "(" << pt.x() <<
+         "," << pt.y() << ")" << std::endl;
+   }
+}
+
+// size: is the number of vertices //
+inline GTLPolygon CreateGTLPolygon(const int *coords, size_t size){
+   GTLPolygon r;
+   std::vector<GTLPoint> pts;
+
+   for(size_t i=0; i<size; i++){
+      pts.push_back( GTLPoint(coords[2*i], coords[2*i+1]) );
+   }
+   boost::polygon::set_points(r, pts.begin(), pts.end());
+   return r;
+}
+
+/************************************************************/
+
+int main() {
+  test_view_as();
+  //this test fails and I'd like to get it to pass
+  //if(!test_colinear_duplicate_points()) return 1;
+  if(!test_extents2()) return 1;
+  if(!test_extents()) return 1;
+  if(!testMaxCover()) return 1;
+  //max_cover_stress_test(); //does not include functional testing
+  if(!testDirectionalSize()) return 1;
+  testHand();
+  //testHandFloat();
+  if(!testpip()) return 1;
+  {
+    PolygonSet ps;
+    Polygon p;
+    assign(ps, p);
+  }
+  if(!testViewCopyConstruct()) return 1;
+  if(!test_grow_and_45()) return 1;
+  if(!test_self_xor_45()) return 1;
+  if(!test_self_xor()) return 1;
+  if(!test_directional_resize()) return 1;
+  if(!test_scaling_by_floating()) return 1;
+  if(!test_SQRT1OVER2()) return 1;
+  if(!test_get_trapezoids()) return 1;
+  if(!test_get_rectangles()) return 1;
+  if(!test_45_concept_interact()) return 1;
+  if(!test_45_touch_r()) return 1;
+  if(!test_45_touch_ur()) return 1;
+  if(!test_45_touch()) return 1;
+  if(!test_45_touch_boundaries()) return 1;
+  {
+  Point pts[] = {Point(0,0), Point(5, 5), Point(5, 0)};
+  Polygon45 p45(pts, pts+3);
+  pts[1] = Point(0, 5);
+  Polygon45 p452(pts, pts+3);
+  if(!test_two_polygons(p45,p452)) return 1;
+  pts[2] = Point(5,5);
+  p45.set(pts, pts+3);
+  if(!test_two_polygons(p45,p452)) return 1;
+  pts[0] = Point(5,0);
+  p452.set(pts, pts+3);
+  if(!test_two_polygons(p45, p452)) return 1;
+  Point pts2[] = {Point(0,5), Point(5, 5), Point(5, 0)};
+  Point pts3[] = {Point(0,0), Point(5, 5), Point(5, 0)};
+  p45.set(pts2, pts2 + 3);
+  p452.set(pts3, pts3+3);
+  if(!test_two_polygons(p45, p452)) return 1;
+  Point pts4[] = {Point(0, 5), Point(3, 2), Point(3,5)};
+  Point pts5[] = {Point(0,0), Point(5, 5), Point(5, 0)};
+  p45.set(pts4, pts4+3);
+  p452.set(pts5, pts5+3);
+  if(!test_two_polygons(p45, p452)) return 1;
+  }
+  {
+  std::vector<point_data<int> > pts;
+  pts.push_back(point_data<int>(0, 0));
+  pts.push_back(point_data<int>(10, 0));
+  pts.push_back(point_data<int>(10, 10));
+  pts.push_back(point_data<int>(0, 10));
+  std::vector<point_data<int> > pts2;
+  pts2.push_back(point_data<int>(0, 0));
+  pts2.push_back(point_data<int>(10, 10));
+  pts2.push_back(point_data<int>(0, 20));
+  pts2.push_back(point_data<int>(-10, 10));
+  std::vector<point_data<int> > pts3;
+  pts3.push_back(point_data<int>(0, 0));
+  pts3.push_back(point_data<int>(10, 11));
+  pts3.push_back(point_data<int>(0, 20));
+  pts3.push_back(point_data<int>(-100, 8));
+  polygon_data<int> p, p1; p.set(pts3.begin(), pts3.end());
+  polygon_45_data<int> p45, p451; p45.set(pts2.begin(), pts2.end());
+  polygon_90_data<int> p90, p901; p90.set(pts.begin(), pts.end());
+  polygon_with_holes_data<int> pwh, pwh1; pwh.set(pts3.begin(), pts3.end());
+  polygon_45_with_holes_data<int> p45wh, p45wh1; p45wh.set(pts2.begin(), pts2.end());
+  polygon_90_with_holes_data<int> p90wh, p90wh1; p90wh.set(pts.begin(), pts.end());
+  assign(p, p90);
+  assign(p, p45);
+  assign(p1, p);
+  //illegal: assign(p, p90wh);
+  //illegal: assign(p, p45wh);
+  //illegal: assign(p, pwh);
+
+  assign(p45, p90);
+  assign(p451, p45);
+  //illegal: assign(p45, p);
+  //illegal: assign(p45, p90wh);
+  //illegal: assign(p45, p45wh);
+  //illegal: assign(p45, pwh);
+
+  assign(p901, p90);
+  //illegal: assign(p90, p45);
+  //illegal: assign(p90, p);
+  //illegal: assign(p90, p90wh);
+  //illegal: assign(p90, p45wh);
+  //illegal: assign(p90, pwh);
+
+  assign(pwh, p90);
+  assign(pwh, p45);
+  assign(pwh, p);
+  assign(pwh, p90wh);
+  assign(pwh, p45wh);
+  assign(pwh1, pwh);
+
+  assign(p45wh, p90);
+  assign(p45wh, p45);
+  //illegal: assign(p45wh, p);
+  assign(p45wh, p90wh);
+  assign(p45wh1, p45wh);
+  //illegal: assign(p45wh, pwh);
+
+  assign(p90wh, p90);
+  //illegal: assign(p90wh, p45);
+  //illegal: assign(p90wh, p);
+  assign(p90wh1, p90wh);
+  //illegal: assign(p90wh, p45wh);
+  //illegal: assign(p90wh, pwh);
+  pts.clear();
+  pts.push_back(point_data<int>(0, 0));
+  pts.push_back(point_data<int>(3, 0));
+  pts.push_back(point_data<int>(0, 1));
+  p.set(pts.begin(), pts.end());
+  std::cout << std::endl; std::cout << (area(p90));
+  std::cout << std::endl; std::cout << (area(p45));
+  std::cout << std::endl; std::cout << (area(p));
+  std::cout << std::endl; std::cout << (area(p90wh));
+  std::cout << std::endl; std::cout << (area(p45wh));
+  std::cout << std::endl; std::cout << (area(pwh));
+  std::cout << std::endl;
+  point_data<int> pt(1, 1);
+  std::cout << contains(p, pt) << std::endl;
+  std::cout << contains(p90, pt) << std::endl;
+
+  interval_data<int> ivl = construct<interval_data<int> >(0, 10);
+  std::cout << get(ivl, LOW) << std::endl;
+  set(ivl, HIGH, 20);
+
+  std::cout << perimeter(p) << std::endl;
+  if(winding(p) == LOW) std::cout << "LOW" << std::endl;
+  if(winding(p) == HIGH) std::cout << "HIGH" << std::endl;
+  rectangle_data<polygon_long_long_type> rd;
+  std::cout << extents(rd, p) << std::endl;
+  std::cout << rd << std::endl;
+
+  boolean_op::testBooleanOr<int>();
+
+  std::vector<rectangle_data<int> > rects1, rects2;
+  rects2.push_back(rectangle_data<int>(0, 0, 10, 10));
+  print_is_polygon_90_set_concept((polygon_90_set_data<int>()));
+  print_is_mutable_polygon_90_set_concept((polygon_90_set_data<int>()));
+  print_is_polygon_90_set_concept((polygon_90_data<int>()));
+  print_is_polygon_90_set_concept((std::vector<polygon_90_data<int> >()));
+  assign(rects1, rects2);
+  polygon_90_set_data<int> ps90;
+  assign(ps90, rects2);
+  assign(rects2, ps90);
+  assign(ps90, p90);
+  assign(rects2, p90);
+  std::cout << p90 << std::endl;
+  for(unsigned int i = 0; i < rects2.size(); ++i) {
+    std::cout << rects2[i] << std::endl;
+  }
+  bloat(rects2, 10);
+  shrink(rects2[0], 10);
+  for(unsigned int i = 0; i < rects2.size(); ++i) {
+    std::cout << rects2[i] << std::endl;
+  }
+  move(rects2[0], HORIZONTAL, 30);
+  assign(rects1, rects2 + p90);
+  std::cout << "result of boolean or\n";
+  for(unsigned int i = 0; i < rects1.size(); ++i) {
+    std::cout << rects1[i] << std::endl;
+  }
+  rects1 -= p90;
+  std::cout << "result of boolean not\n";
+  for(unsigned int i = 0; i < rects1.size(); ++i) {
+    std::cout << rects1[i] << std::endl;
+  }
+  rects1 += p90;
+  std::cout << "result of boolean OR\n";
+  for(unsigned int i = 0; i < rects1.size(); ++i) {
+    std::cout << rects1[i] << std::endl;
+  }
+  rects1 *= p90;
+  std::cout << "result of boolean AND\n";
+  for(unsigned int i = 0; i < rects1.size(); ++i) {
+    std::cout << rects1[i] << std::endl;
+  }
+  rects1 ^= rects2;
+  std::cout << "result of boolean XOR\n";
+  for(unsigned int i = 0; i < rects1.size(); ++i) {
+    std::cout << rects1[i] << std::endl;
+  }
+  rects2.clear();
+  get_max_rectangles(rects2, p90);
+  std::cout << "result of max rectangles\n";
+  for(unsigned int i = 0; i < rects2.size(); ++i) {
+    std::cout << rects2[i] << std::endl;
+  }
+  rects2.clear();
+  //operator += and -= don't support polygons, so + and - should not exist
+//   rects2 += p90 + 6;
+//   std::cout << "result of resize\n";
+//   for(unsigned int i = 0; i < rects2.size(); ++i) {
+//     std::cout << rects2[i] << std::endl;
+//   }
+//   std::cout << "result of resize\n";
+   std::vector<polygon_90_with_holes_data<int> > polyswh1, polyswh2;
+//   polyswh1 += p90 -2;
+//   for(unsigned int i = 0; i < polyswh1.size(); ++i) {
+//     std::cout << polyswh1[i] << std::endl;
+//   }
+//   std::cout << "result of resize\n";
+   std::vector<polygon_90_data<int> > polys1, polys2;
+   polys1 += p90;
+   polys1 -= 2;
+//   polys1 += p90 -2;
+   for(unsigned int i = 0; i < polys1.size(); ++i) {
+     std::cout << polys1[i] << std::endl;
+   }
+
+   boolean_op_45<int>::testScan45(std::cout);
+   polygon_45_formation<int>::testPolygon45Formation(std::cout);
+  polygon_45_formation<int>::testPolygon45Tiling(std::cout);
+
+  axis_transformation atr;
+  transform(p, atr);
+  transform(p45, atr);
+  transform(p90, atr);
+  transform(pwh, atr);
+  transform(p45wh, atr);
+  transform(p90wh, atr);
+  scale_up(p, 2);
+  scale_up(p45, 2);
+  scale_up(p90, 2);
+  scale_up(pwh, 2);
+  scale_up(p45wh, 2);
+  scale_up(p90wh, 2);
+  scale_down(p, 2);
+  scale_down(p45, 2);
+  scale_down(p90, 2);
+  scale_down(pwh, 2);
+  scale_down(p45wh, 2);
+  scale_down(p90wh, 2);
+  std::vector<polygon_45_data<int> > p45s1, p45s2;
+  std::cout << equivalence(p45s1, p45s2) << std::endl;
+  std::cout << equivalence(p45, p45wh) << std::endl;
+  std::cout << equivalence(p90, p45wh) << std::endl;
+  gtl::assign(p45s1, p90);
+  p90 = polys1[0];
+  move(p90, orientation_2d(HORIZONTAL), 8);
+  std::cout << p90 << std::endl << p45wh << std::endl;
+  polygon_45_set_data<int> ps45 = p90 + p45wh;
+  assign(p45s1, ps45);
+  std::cout << "result\n";
+  for(unsigned int i = 0; i < p45s1.size(); ++i) {
+    std::cout << p45s1[i] << std::endl;
+  }
+  std::cout << equivalence(p, pwh) << std::endl;
+  std::cout << equivalence(p90, pwh) << std::endl;
+  std::cout << equivalence(p45, pwh) << std::endl;
+  std::cout << equivalence(pwh, pwh) << std::endl;
+  p + pwh;
+  p90 + pwh;
+  p45 + pwh;
+  std::cout << testRectangle() << std::endl;
+  std::cout << testPolygon() << std::endl;
+  std::cout << testPropertyMerge() << std::endl;
+  std::cout << testPolygonAssign() << std::endl;
+  std::cout << testPolygonWithHoles() << std::endl;
+  std::cout << (polygon_arbitrary_formation<int>::testPolygonArbitraryFormationRect(std::cout)) << std::endl;
+  std::cout << (polygon_arbitrary_formation<int>::testPolygonArbitraryFormationP1(std::cout)) << std::endl;
+  std::cout << (polygon_arbitrary_formation<int>::testPolygonArbitraryFormationP2(std::cout)) << std::endl;
+  std::cout << (polygon_arbitrary_formation<int>::testPolygonArbitraryFormationPolys(std::cout)) << std::endl;
+  std::cout << (polygon_arbitrary_formation<int>::testPolygonArbitraryFormationSelfTouch1(std::cout)) << std::endl;
+  std::cout << (polygon_arbitrary_formation<int>::testPolygonArbitraryFormationSelfTouch2(std::cout)) << std::endl;
+  std::cout << (polygon_arbitrary_formation<int>::testPolygonArbitraryFormationSelfTouch3(std::cout)) << std::endl;
+  std::cout << (polygon_arbitrary_formation<int>::testSegmentIntersection(std::cout)) << std::endl;
+  std::cout << (property_merge<int, int>::test_insertion(std::cout)) << std::endl;
+  std::cout << (line_intersection<int>::test_verify_scan(std::cout)) << std::endl;
+  std::cout << (line_intersection<int>::test_validate_scan(std::cout)) << std::endl;
+  std::cout << (scanline<int, int>::test_scanline(std::cout)) << std::endl;
+  std::cout << (property_merge<int, int>::test_merge(std::cout)) << std::endl;
+  std::cout << (property_merge<int, int>::test_intersection(std::cout)) << std::endl;
+  std::cout << (polygon_arbitrary_formation<int>::testPolygonArbitraryFormationColinear(std::cout)) << std::endl;
+  std::cout << (property_merge<int, int>::test_manhattan_intersection(std::cout)) << std::endl;
+  std::cout << (test_arbitrary_boolean_op<int>(std::cout)) << std::endl;
+  }
+  {
+    polygon_set_data<int> psd;
+    rectangle_data<int> rect;
+    set_points(rect, point_data<int>(0, 0), point_data<int>(10, 10));
+    psd.insert(rect);
+    polygon_set_data<int> psd2;
+    set_points(rect, point_data<int>(5, 5), point_data<int>(15, 15));
+    psd2.insert(rect);
+    std::vector<polygon_data<int> > pv;
+    polygon_set_data<int> psd3;
+    psd3 = psd + psd2;
+    psd3.get(pv);
+    for(unsigned int i = 0; i < pv.size(); ++i) {
+      std::cout << pv[i] << std::endl;
+    }
+    psd += psd2;
+    pv.clear();
+    psd3.get(pv);
+    for(unsigned int i = 0; i < pv.size(); ++i) {
+      std::cout << pv[i] << std::endl;
+    }
+  }
+  {
+    polygon_90_set_data<int> psd;
+    rectangle_data<int> rect;
+    set_points(rect, point_data<int>(0, 0), point_data<int>(10, 10));
+    psd.insert(rect);
+    polygon_90_set_data<int> psd2;
+    set_points(rect, point_data<int>(5, 5), point_data<int>(15, 15));
+    psd2.insert(rect);
+    std::vector<polygon_90_data<int> > pv;
+    interact(psd, psd2);
+    assign(pv, psd);
+    for(unsigned int i = 0; i < pv.size(); ++i) {
+      std::cout << pv[i] << std::endl;
+    }
+
+    connectivity_extraction_90<int> ce;
+    ce.insert(pv[0]);
+    ce.insert(psd2);
+    std::vector<std::set<int> > graph(2);
+    ce.extract(graph);
+    if(graph[0].size() == 1) std::cout << "connectivity extraction is alive\n";
+
+    //std::vector<rectangle_data<polygon_long_long_type> > lobs;
+    //get_max_rectangles(lobs, psd);
+    //if(lobs.size() == 1) std::cout << "max rectangles is alive\n";
+
+    std::vector<rectangle_data<int> > rv;
+    rv.push_back(rect);
+    set_points(rect, point_data<int>(0, 0), point_data<int>(10, 10));
+    rv.push_back(rect);
+    self_intersect(rv);
+    if(rv.size() == 1) {
+      assign(rect, rv.back());
+      std::cout << rect << std::endl;
+    }
+
+    assign(rv, rv + 1);
+    std::cout << rv.size() << std::endl;
+    if(rv.size() == 1) {
+      assign(rect, rv.back());
+      std::cout << rect << std::endl;
+    }
+    assign(rv, rv - 1);
+    if(rv.size() == 1) {
+      assign(rect, rv.back());
+      std::cout << rect << std::endl;
+    }
+    rv += 1;
+    if(rv.size() == 1) {
+      assign(rect, rv.back());
+      std::cout << rect << std::endl;
+    }
+    rv -= 1;
+    if(rv.size() == 1) {
+      assign(rect, rv.back());
+      std::cout << rect << std::endl;
+    }
+    rv.clear();
+    set_points(rect, point_data<int>(0, 0), point_data<int>(10, 10));
+    rv.push_back(rect);
+    set_points(rect, point_data<int>(12, 12), point_data<int>(20, 20));
+    rv.push_back(rect);
+    grow_and(rv, 7);
+    if(rv.size() == 1) {
+      assign(rect, rv.back());
+      std::cout << rect << std::endl;
+    }
+    std::cout << area(rv) << std::endl;
+    std::cout << area(rv) << std::endl;
+
+    scale_up(rv, 10);
+    std::cout << area(rv) << std::endl;
+    scale_down(rv, 7);
+    std::cout << area(rv) << std::endl;
+    if(rv.size() == 1) {
+      assign(rect, rv.back());
+      std::cout << rect << std::endl;
+    }
+    keep(rv, 290, 300, 7, 24, 7, 24);
+    if(rv.size() == 1) {
+      assign(rect, rv.back());
+      std::cout << rect << std::endl;
+    }
+    keep(rv, 300, 310, 7, 24, 7, 24);
+    if(rv.empty()) std::cout << "keep is alive\n";
+  }
+  {
+//     typedef int Unit;
+//     typedef point_data<int> Point;
+//     typedef interval_data<int> Interval;
+//     typedef rectangle_data<int> Rectangle;
+//     typedef polygon_90_data<int> Polygon;
+//     typedef polygon_90_with_holes_data<int> PolygonWithHoles;
+//     typedef polygon_45_data<int> Polygon45;
+//     typedef polygon_45_with_holes_data<int> Polygon45WithHoles;
+//     typedef polygon_90_set_data<int> PolygonSet;
+//     //typedef polygon_45_set_data<int> Polygon45Set;
+//     typedef axis_transformation AxisTransform;
+//     typedef transformation<int> Transform;
+    //test polygon45 area, polygon45 with holes area
+    std::vector<Point> pts;
+    pts.clear();
+    pts.push_back(Point(10, 10));
+    pts.push_back(Point(15, 10));
+    pts.push_back(Point(10, 15));
+    Polygon45 polyHole;
+    polyHole.set(pts.begin(), pts.end());
+    pts.clear();
+    pts.push_back(Point(10, 0));
+    pts.push_back(Point(20, 10));
+    pts.push_back(Point(20, 30));
+    pts.push_back(Point(0, 50));
+    pts.push_back(Point(0, 10));
+    Polygon45WithHoles polyWHoles;
+    polyWHoles.set(pts.begin(), pts.end());
+    polyWHoles.set_holes(&polyHole, (&polyHole)+1);
+     std::cout << polyWHoles << std::endl;
+    std::cout << area(polyWHoles) << std::endl;
+    std::cout << area(polyWHoles) << std::endl;
+     //test polygon45, polygon45with holes transform
+     AxisTransform atr(AxisTransform::EAST_SOUTH);
+     Polygon45WithHoles p45wh(polyWHoles);
+     transform(polyWHoles, atr);
+     std::cout << polyWHoles << std::endl;
+     Transform tr(atr);
+     tr.invert();
+     transform(polyWHoles, tr);
+     std::cout << polyWHoles << std::endl;
+     if(area(polyWHoles) != 687.5) return 1;
+     //test polygon, polygon with holes transform
+     Polygon ph;
+     assign(ph, Rectangle(10, 10, 20, 20));
+     PolygonWithHoles pwh;
+     assign(pwh, Rectangle(0, 0, 100, 100));
+     pwh.set_holes(&ph, (&ph)+1);
+     std::cout << area(pwh) << std::endl;
+     transform(pwh, atr);
+     std::cout << pwh << std::endl;
+     std::cout << area(pwh) << std::endl;
+     transform(pwh, tr);
+     std::cout << pwh << std::endl;
+     std::cout << area(pwh) << std::endl;
+     if(area(pwh) != 9900) return 1;
+
+    //test point scale up / down
+    Point pt(10, 10);
+    scale_up(pt, 25);
+    if(pt != Point(250, 250)) return 1;
+    std::cout << pt << std::endl;
+    scale_down(pt, 25);
+    if(pt != Point(10, 10)) return 1;
+    std::cout << pt << std::endl;
+    scale_down(pt, 25);
+    if(pt != Point(0, 0)) return 1;
+    std::cout << pt << std::endl;
+
+    //test polygon, polygon with holes scale up down
+    PolygonWithHoles tmpPwh(pwh);
+    scale_up(pwh, 25);
+    std::cout << pwh << std::endl;
+    scale_down(pwh, 25);
+    if(area(pwh) != area(tmpPwh)) return 1;
+    std::cout << pwh << std::endl;
+    scale_down(pwh, 25);
+    std::cout << pwh << std::endl;
+    //test polygon45, polygon45 with holes is45
+    std::cout << is_45(polyHole) << std::endl;
+    if(is_45(polyHole) != true) return 1;
+    pts.clear();
+    pts.push_back(Point(10, 10));
+    pts.push_back(Point(15, 10));
+    pts.push_back(Point(10, 16));
+    polyHole.set(pts.begin(), pts.end());
+    std::cout << is_45(polyHole) << std::endl;
+    if(is_45(polyHole) != false) return 1;
+    //test polygon45, polygon45 with holes snap 45
+    snap_to_45(polyHole);
+    std::cout << is_45(polyHole) << std::endl;
+    if(is_45(polyHole) != true) return 1;
+    std::cout << polyHole << std::endl;
+    //test polygon45, polygon45 with holes scalue up down
+    scale_up(polyHole, 10000);
+    std::cout << polyHole << std::endl;
+    scale_down(polyHole, 3);
+    std::cout << is_45(polyHole) << " " << polyHole << std::endl;
+    if(is_45(polyHole) != true) return 1;
+    scale_down(polyHole, 5);
+    std::cout << is_45(polyHole) << " " << polyHole << std::endl;
+    if(is_45(polyHole) != true) return 1;
+    scale_down(polyHole, 7);
+    std::cout << is_45(polyHole) << " " << polyHole << std::endl;
+    if(is_45(polyHole) != true) return 1;
+    scale_down(polyHole, 13);
+    std::cout << is_45(polyHole) << " " << polyHole << std::endl;
+    if(is_45(polyHole) != true) return 1;
+    scale_down(polyHole, 2);
+    std::cout << is_45(polyHole) << " " << polyHole << std::endl;
+    if(is_45(polyHole) != true) return 1;
+    scale_down(polyHole, 2);
+    std::cout << is_45(polyHole) << " " << polyHole << std::endl;
+    if(is_45(polyHole) != true) return 1;
+    scale_down(polyHole, 2);
+    std::cout << is_45(polyHole) << " " << polyHole << std::endl;
+    if(is_45(polyHole) != true) return 1;
+    scale_down(polyHole, 2);
+    std::cout << is_45(polyHole) << " " << polyHole << std::endl;
+    if(is_45(polyHole) != true) return 1;
+    scale_down(polyHole, 2);
+    std::cout << is_45(polyHole) << " " << polyHole << std::endl;
+    if(is_45(polyHole) != true) return 1;
+    scale_up(polyHole, 3);
+    std::cout << is_45(polyHole) << " " << polyHole << std::endl;
+    if(is_45(polyHole) != true) return 1;
+    scale_down(polyHole, 2);
+    std::cout << is_45(polyHole) << " " << polyHole << std::endl;
+    if(is_45(polyHole) != true) return 1;
+    scale_down(polyHole, 2);
+    std::cout << is_45(polyHole) << " " << polyHole << std::endl;
+    if(is_45(polyHole) != true) return 1;
+    scale_down(polyHole, 2);
+    std::cout << is_45(polyHole) << " " << polyHole << std::endl;
+    if(is_45(polyHole) != true) return 1;
+    scale_down(polyHole, 2);
+    std::cout << is_45(polyHole) << " " << polyHole << std::endl;
+    if(is_45(polyHole) != true) return 1;
+    pts.clear();
+    pts.push_back(Point(11, 1));
+    pts.push_back(Point(21, 11));
+    pts.push_back(Point(11, 21));
+    pts.push_back(Point(1, 11));
+    polyHole.set(pts.begin(), pts.end());
+    std::cout << is_45(polyHole) << " " << polyHole << std::endl;
+    if(is_45(polyHole) != true) return 1;
+    scale_down(polyHole, 3);
+    std::cout << is_45(polyHole) << " " << polyHole << std::endl;
+    if(is_45(polyHole) != true) return 1;
+    scale_up(polyHole, 10000);
+    std::cout << polyHole << std::endl;
+    scale_down(polyHole, 3);
+    std::cout << is_45(polyHole) << " " << polyHole << std::endl;
+    if(is_45(polyHole) != true) return 1;
+    scale_down(polyHole, 5);
+    std::cout << is_45(polyHole) << " " << polyHole << std::endl;
+    if(is_45(polyHole) != true) return 1;
+    scale_down(polyHole, 7);
+    std::cout << is_45(polyHole) << " " << polyHole << std::endl;
+    if(is_45(polyHole) != true) return 1;
+    scale_down(polyHole, 13);
+    std::cout << is_45(polyHole) << " " << polyHole << std::endl;
+    if(is_45(polyHole) != true) return 1;
+    scale_down(polyHole, 2);
+    std::cout << is_45(polyHole) << " " << polyHole << std::endl;
+    if(is_45(polyHole) != true) return 1;
+    scale_down(polyHole, 2);
+    std::cout << is_45(polyHole) << " " << polyHole << std::endl;
+    if(is_45(polyHole) != true) return 1;
+    scale_down(polyHole, 2);
+    std::cout << is_45(polyHole) << " " << polyHole << std::endl;
+    if(is_45(polyHole) != true) return 1;
+    scale_down(polyHole, 2);
+    std::cout << is_45(polyHole) << " " << polyHole << std::endl;
+    if(is_45(polyHole) != true) return 1;
+    scale_down(polyHole, 2);
+    std::cout << is_45(polyHole) << " " << polyHole << std::endl;
+    if(is_45(polyHole) != true) return 1;
+    scale_up(polyHole, 3);
+    std::cout << is_45(polyHole) << " " << polyHole << std::endl;
+    if(is_45(polyHole) != true) return 1;
+    scale_down(polyHole, 2);
+    std::cout << is_45(polyHole) << " " << polyHole << std::endl;
+    if(is_45(polyHole) != true) return 1;
+    scale_down(polyHole, 2);
+    std::cout << is_45(polyHole) << " " << polyHole << std::endl;
+    if(is_45(polyHole) != true) return 1;
+    scale_down(polyHole, 2);
+    std::cout << is_45(polyHole) << " " << polyHole << std::endl;
+    if(is_45(polyHole) != true) return 1;
+    scale_down(polyHole, 2);
+    std::cout << is_45(polyHole) << " " << polyHole << std::endl;
+    if(is_45(polyHole) != true) return 1;
+
+    std::cout << is_45(polyWHoles) << " " << polyWHoles << std::endl;
+    if(is_45(polyWHoles) != true) return 1;
+    scale_up(polyWHoles, 100013);
+    std::cout << polyWHoles << std::endl;
+    scale_down(polyWHoles, 3);
+    std::cout << is_45(polyWHoles) << " " << polyWHoles << std::endl;
+    if(is_45(polyWHoles) != true) return 1;
+    scale_down(polyWHoles, 2);
+    std::cout << is_45(polyWHoles) << " " << polyWHoles << std::endl;
+    if(is_45(polyWHoles) != true) return 1;
+    scale_down(polyWHoles, 3);
+    std::cout << is_45(polyWHoles) << " " << polyWHoles << std::endl;
+    if(is_45(polyWHoles) != true) return 1;
+    scale_down(polyWHoles, 2);
+    std::cout << is_45(polyWHoles) << " " << polyWHoles << std::endl;
+    if(is_45(polyWHoles) != true) return 1;
+    scale_down(polyWHoles, 3);
+    std::cout << is_45(polyWHoles) << " " << polyWHoles << std::endl;
+    if(is_45(polyWHoles) != true) return 1;
+    scale_down(polyWHoles, 2);
+    std::cout << is_45(polyWHoles) << " " << polyWHoles << std::endl;
+    if(is_45(polyWHoles) != true) return 1;
+    scale_down(polyWHoles, 3);
+    std::cout << is_45(polyWHoles) << " " << polyWHoles << std::endl;
+    if(is_45(polyWHoles) != true) return 1;
+    scale_down(polyWHoles, 2);
+    std::cout << is_45(polyWHoles) << " " << polyWHoles << std::endl;
+    if(is_45(polyWHoles) != true) return 1;
+    scale_down(polyWHoles, 3);
+    std::cout << is_45(polyWHoles) << " " << polyWHoles << std::endl;
+    if(is_45(polyWHoles) != true) return 1;
+    scale_down(polyWHoles, 2);
+    std::cout << is_45(polyWHoles) << " " << polyWHoles << std::endl;
+    if(is_45(polyWHoles) != true) return 1;
+    scale_down(polyWHoles, 3);
+    std::cout << is_45(polyWHoles) << " " << polyWHoles << std::endl;
+    if(is_45(polyWHoles) != true) return 1;
+    scale_down(polyWHoles, 3);
+    std::cout << is_45(polyWHoles) << " " << polyWHoles << std::endl;
+    if(is_45(polyWHoles) != true) return 1;
+    scale_down(polyWHoles, 2);
+    std::cout << is_45(polyWHoles) << " " << polyWHoles << std::endl;
+    if(is_45(polyWHoles) != true) return 1;
+    scale_down(polyWHoles, 3);
+    std::cout << is_45(polyWHoles) << " " << polyWHoles << std::endl;
+    if(is_45(polyWHoles) != true) return 1;
+    scale_down(polyWHoles, 2);
+    std::cout << is_45(polyWHoles) << " " << polyWHoles << std::endl;
+    if(is_45(polyWHoles) != true) return 1;
+    scale_down(polyWHoles, 3);
+    std::cout << is_45(polyWHoles) << " " << polyWHoles << std::endl;
+    if(is_45(polyWHoles) != true) return 1;
+    scale_down(polyWHoles, 2);
+    std::cout << is_45(polyWHoles) << " " << polyWHoles << std::endl;
+    if(is_45(polyWHoles) != true) return 1;
+
+    std::cout << (boolean_op_45<Unit>::testScan45(std::cout)) << std::endl;
+    std::cout << (polygon_45_formation<Unit>::testPolygon45Formation(std::cout)) << std::endl;
+    std::cout << (polygon_45_formation<Unit>::testPolygon45Tiling(std::cout)) << std::endl;
+
+
+    {
+      PolygonSet ps;
+      Rectangle rect;
+      ps.insert(Rectangle(0, 0, 10, 10));
+      std::cout << area(ps) << std::endl;
+      if(area(ps) != 100) return 1;
+      scale_up(ps, 3);
+      std::cout << area(ps) << std::endl;
+      if(area(ps) != 900) return 1;
+      scale_down(ps, 2);
+      std::cout << area(ps) << std::endl;
+      if(area(ps) != 225) return 1;
+      transform(ps, atr);
+      std::vector<Rectangle> rv;
+      rv.clear();
+      ps.get(rv);
+      if(rv.size() == 1) {
+        assign(rect, rv.back());
+        std::cout << rect << std::endl;
+      }
+      transform(ps, tr);
+      rv.clear();
+      ps.get(rv);
+      if(rv.size() == 1) {
+        assign(rect, rv.back());
+        std::cout << rect << std::endl;
+      }
+    }
+    //test polygon45set transform
+    pts.clear();
+    pts.push_back(Point(10, 10));
+    pts.push_back(Point(15, 10));
+    pts.push_back(Point(10, 15));
+    polyHole.set(pts.begin(), pts.end());
+    Polygon45Set ps451, ps452;
+    ps451.insert(polyHole);
+    ps452 = ps451;
+    std::cout << (ps451 == ps452) << std::endl;
+    if(ps451 != ps452) return 1;
+    ps451.transform(atr);
+    std::cout << (ps451 == ps452) << std::endl;
+    if(ps451 == ps452) return 1;
+    ps451.transform(tr);
+    std::cout << (ps451 == ps452) << std::endl;
+    if(ps451 != ps452) return 1;
+
+    //test polygon45set area
+    std::cout << area(ps451) << std::endl;
+    if(area(ps451) != 12.5) return 1;
+    //test polygon45set scale up down
+    ps451.scale_up(3);
+    std::cout << area(ps451) << std::endl;
+    if(area(ps451) != 112.5) return 1;
+    ps451.scale_down(2);
+    std::cout << area(ps451) << std::endl;
+    if(area(ps451) != 32) return 1;
+    //test polygonset scalue up down
+  }
+  {
+    std::cout << (testPolygon45SetRect()) << std::endl;
+    testPolygon45SetPerterbation(); //re-enable after non-intersection fix
+    testPolygon45Set();
+    testPolygon45SetDORA();  //re-enable after non-intersection fix
+    polygon_45_set_data<int> ps45_1, ps45_2, ps45_3;
+    ps45_1.insert(rectangle_data<int>(0, 0, 10, 10));
+    ps45_2.insert(rectangle_data<int>(5, 5, 15, 15));
+    std::vector<polygon_45_data<int> > p45s;
+    ps45_3 = ps45_1 | ps45_2;
+    ps45_3.get(p45s);
+    if(p45s.size()) std::cout << p45s[0] << std::endl;
+    else {
+      std::cout << "test failed\n";
+      return 1;
+    }
+    p45s.clear();
+    ps45_3 = ps45_1 + ps45_2;
+    ps45_3.get(p45s);
+    if(p45s.size()) std::cout << p45s[0] << std::endl;
+    else {
+      std::cout << "test failed\n";
+      return 1;
+    }
+    p45s.clear();
+    ps45_3 = ps45_1 * ps45_2;
+    ps45_3.get(p45s);
+    if(p45s.size()) std::cout << p45s[0] << std::endl;
+    else {
+      std::cout << "test failed\n";
+      return 1;
+    }
+    p45s.clear();
+    ps45_3 = ps45_1 - ps45_2;
+    ps45_3.get(p45s);
+    if(p45s.size()) std::cout << p45s[0] << std::endl;
+    else {
+      std::cout << "test failed\n";
+      return 1;
+    }
+    p45s.clear();
+    ps45_3 = ps45_1 ^ ps45_2;
+    ps45_3.get(p45s);
+    if(p45s.size() == 2) std::cout << p45s[0] << " " << p45s[1] << std::endl;
+    else {
+      std::cout << "test failed\n";
+      return 1;
+    }
+    std::vector<point_data<int> > pts;
+    pts.clear();
+    pts.push_back(point_data<int>(7, 0));
+    pts.push_back(point_data<int>(20, 13));
+    pts.push_back(point_data<int>(0, 13));
+    pts.push_back(point_data<int>(0, 0));
+    polygon_45_data<int> p45_1(pts.begin(), pts.end());
+    ps45_3.clear();
+    ps45_3.insert(p45_1);
+    p45s.clear();
+    ps45_3.get(p45s);
+    if(p45s.size()) std::cout << p45s[0] << std::endl;
+    else {
+      std::cout << "test failed\n";
+      return 1;
+    }
+    ps45_3 += 1;
+    p45s.clear();
+    ps45_3.get(p45s);
+    if(p45s.size()) std::cout << p45s[0] << std::endl;
+    else {
+      std::cout << "test failed\n";
+      return 1;
+    }
+    ps45_3 -= 1;
+    p45s.clear();
+    ps45_3.get(p45s);
+    if(p45s.size()) std::cout << p45s[0] << std::endl;
+    else {
+      std::cout << "test failed\n";
+      return 1;
+    }
+  }
+  {
+    polygon_90_set_data<int> p90sd;
+    p90sd.insert(rectangle_data<int>(0, 0, 10, 10));
+    std::vector<rectangle_data<int> > rects;
+    std::vector<polygon_90_data<int> > polys90;
+    std::vector<polygon_90_with_holes_data<int> > pwhs90;
+    assign(rects, p90sd);
+    assign(polys90, p90sd);
+    assign(pwhs90, p90sd);
+    std::cout << equivalence(rects, polys90) << std::endl;
+    std::cout << equivalence(pwhs90, polys90) << std::endl;
+    pwhs90.clear();
+    assign(pwhs90, polys90);
+    std::cout << equivalence(pwhs90, polys90) << std::endl;
+  }
+  {
+    polygon_45_set_data<int> p45sd;
+    p45sd.insert(rectangle_data<int>(0, 0, 10, 10));
+    std::vector<rectangle_data<int> > rects;
+    std::vector<polygon_45_data<int> > polys45;
+    std::vector<polygon_45_with_holes_data<int> > pwhs45;
+    get_trapezoids(polys45, p45sd);
+    assign(polys45, p45sd);
+    assign(pwhs45, p45sd);
+    std::cout << equivalence(pwhs45, polys45) << std::endl;
+    pwhs45.clear();
+    assign(pwhs45, polys45);
+    std::cout << equivalence(pwhs45, polys45) << std::endl;
+  }
+  {
+    polygon_set_data<int> psd;
+    psd.insert(rectangle_data<int>(0, 0, 10, 10));
+    std::vector<polygon_data<int> > polys;
+    std::vector<polygon_with_holes_data<int> > pwhs;
+    assign(polys, psd);
+    assign(pwhs, psd);
+    std::cout << equivalence(pwhs, polys) << std::endl;
+    pwhs.clear();
+    assign(pwhs, polys);
+    std::cout << equivalence(pwhs, polys) << std::endl;
+  }
+  {
+    polygon_90_set_data<int> ps1(HORIZONTAL), ps2(VERTICAL);
+    ps1 += rectangle_data<int>(0, 0, 10, 120);
+    assign(ps1, ps2);
+    std::cout << equivalence(ps1, ps2) << std::endl;
+  }
+  {
+    std::vector<rectangle_data<polygon_long_long_type> > lobs, input;
+    input.push_back(rectangle_data<polygon_long_long_type>(0, 0, 10, 10));
+    input.push_back(rectangle_data<polygon_long_long_type>(10, 5, 15, 15));
+    get_max_rectangles(lobs, input);
+    if(lobs.size() == 3) std::cout << "max rectangles is correct\n";
+  }
+  {
+    polygon_set_data<int> ps1, ps2, ps3;
+    ps1.insert(rectangle_data<int>(0, 0, 10, 10));
+    ps2.insert(rectangle_data<int>(0, 0, 15, 5));
+    ps3.insert(rectangle_data<int>(0, 0, 20, 2));
+    std::cout << area(ps1 + ps2) << std::endl;
+    keep(ps1, 0, 100, 0, 100, 0, 100);
+    if(empty(ps1)) return 1;
+    rectangle_data<int> bbox;
+    extents(bbox, ps1);
+    std::cout << bbox << std::endl;
+    //resize(ps1, 1);
+    //shrink(ps1, 1);
+    //bloat(ps1, 1);
+    scale_up(ps1, 2);
+    scale_down(ps1, 2);
+    axis_transformation atr;
+    transform(ps1, atr);
+    std::cout << area(ps1) << std::endl;
+    if(area(ps1) != 100) return 1;
+    clear(ps1);
+    if(!empty(ps1)) return 1;
+    ps1 = ps2 * ps3;
+    ps1 *= ps2;
+    ps1 - ps2;
+    ps1 -= ps2;
+    ps1 ^ ps2;
+    ps1 ^= ps2;
+    ps1 | ps2;
+    ps1 |= ps2;
+  }
+  {
+    polygon_45_set_data<int> ps45_1, ps45_2;
+    ps45_1.insert(rectangle_data<int>(0, 0, 10, 10));
+    keep(ps45_1, 0, 1000, 0, 1000, 0, 1000);
+    std::cout << area(ps45_1) << std::endl;
+    std::cout << empty(ps45_1) << std::endl;
+    rectangle_data<int> bbox;
+    extents(bbox, ps45_1);
+    std::cout << bbox << std::endl;
+    resize(ps45_1, 1);
+    shrink(ps45_1, 1);
+    bloat(ps45_1, 1);
+    scale_up(ps45_1, 2);
+    scale_down(ps45_1, 2);
+    axis_transformation atr;
+    transform(ps45_1, atr);
+    std::cout << area(ps45_1) << std::endl;
+    if(area(ps45_1) != 144) return 1;
+    clear(ps45_1);
+    if(!empty(ps45_1)) return 1;
+  }
+  {
+    std::vector<polygon_45_data<int> > p45v;
+    p45v + p45v;
+    p45v *= p45v;
+    p45v += p45v;
+    p45v - p45v;
+    p45v -= p45v;
+    p45v ^ p45v;
+    p45v ^= p45v;
+    p45v | p45v;
+    p45v |= p45v;
+    p45v + 1;
+    p45v += 1;
+    p45v - 1;
+    p45v -= 1;
+    p45v + (p45v + p45v);
+  }
+  {
+    polygon_45_set_data<int> ps45;
+    polygon_90_set_data<int> ps90;
+    std::vector<polygon_90_with_holes_data<int> > p90whv;
+    ps45.insert(ps90);
+    ps45.insert(p90whv);
+    ps45.insert(p90whv + p90whv);
+
+    ps45.insert(polygon_90_with_holes_data<int>());
+    polygon_with_holes_data<int> pwh;
+    snap_to_45(pwh);
+  }
+  {
+    polygon_90_set_data<int> ps90_1, ps90_2;
+    ps90_1.insert(rectangle_data<int>(0, 0, 10, 10));
+    keep(ps90_1, 0, 1000, 0, 1000, 0, 1000);
+    std::cout << area(ps90_1) << std::endl;
+    std::cout << empty(ps90_1) << std::endl;
+    rectangle_data<int> bbox;
+    extents(bbox, ps90_1);
+    std::cout << bbox << std::endl;
+    resize(ps90_1, 1);
+    shrink(ps90_1, 1);
+    bloat(ps90_1, 1);
+    scale_up(ps90_1, 2);
+    scale_down(ps90_1, 2);
+    scale(ps90_1, anisotropic_scale_factor<double>(2, 2));
+    scale(ps90_1, anisotropic_scale_factor<double>(0.5, 0.5));
+    axis_transformation atr;
+    transform(ps90_1, atr);
+    std::cout << area(ps90_1) << std::endl;
+    if(area(ps90_1) != 144) return 1;
+    clear(ps90_1);
+    if(!empty(ps90_1)) return 1;
+  }
+  if(!nonInteger45StessTest()) return 1;
+  {
+  using namespace gtl;
+  typedef polygon_45_property_merge<int, int> p45pm;
+  p45pm::MergeSetData msd;
+  polygon_45_set_data<int> ps;
+  ps += rectangle_data<int>(0, 0, 10, 10);
+  p45pm::populateMergeSetData(msd, ps.begin(), ps.end(), 444);
+  ps.clear();
+  ps += rectangle_data<int>(5, 5, 15, 15);
+  p45pm::populateMergeSetData(msd, ps.begin(), ps.end(), 333);
+  std::map<std::set<int>, polygon_45_set_data<int> > result;
+  p45pm::performMerge(result, msd);
+  int i = 0;
+  for(std::map<std::set<int>, polygon_45_set_data<int> >::iterator itr = result.begin();
+      itr != result.end(); ++itr) {
+    for(std::set<int>::const_iterator itr2 = (*itr).first.begin();
+        itr2 != (*itr).first.end(); ++itr2) {
+      std::cout << *itr2 << " ";
+    } std::cout << " : ";
+    std::cout << area((*itr).second) << std::endl;
+    if(i == 1) {
+      if(area((*itr).second) != 100) return 1;
+    } else
+      if(area((*itr).second) != 300) return 1;
+    ++i;
+  }
+
+
+  property_merge_45<int, int> pm;
+  pm.insert(rectangle_data<int>(0, 0, 10, 10), 444);
+  pm.insert(rectangle_data<int>(5, 5, 15, 15), 333);
+  std::map<std::set<int>, polygon_45_set_data<int> > mp;
+  pm.merge(mp);
+  i = 0;
+  for(std::map<std::set<int>, polygon_45_set_data<int> >::iterator itr = mp.begin();
+      itr != mp.end(); ++itr) {
+    for(std::set<int>::const_iterator itr2 = (*itr).first.begin();
+        itr2 != (*itr).first.end(); ++itr2) {
+      std::cout << *itr2 << " ";
+    } std::cout << " : ";
+    std::cout << area((*itr).second) << std::endl;
+    if(i == 1) {
+      if(area((*itr).second) != 25) return 1;
+    } else
+      if(area((*itr).second) != 75) return 1;
+    ++i;
+  }
+  std::map<std::vector<int>, polygon_45_set_data<int> > mp2;
+  pm.merge(mp2);
+  i = 0;
+  for(std::map<std::vector<int>, polygon_45_set_data<int> >::iterator itr = mp2.begin();
+      itr != mp2.end(); ++itr) {
+    for(std::vector<int>::const_iterator itr2 = (*itr).first.begin();
+        itr2 != (*itr).first.end(); ++itr2) {
+      std::cout << *itr2 << " ";
+    } std::cout << " : ";
+    std::cout << area((*itr).second) << std::endl;
+    if(i == 1) {
+      if(area((*itr).second) != 25) return 1;
+    } else
+      if(area((*itr).second) != 75) return 1;
+    ++i;
+  }
+  }
+  {
+  std::cout << trapezoid_arbitrary_formation<int>::testTrapezoidArbitraryFormationRect(std::cout) << std::endl;
+  std::cout << trapezoid_arbitrary_formation<int>::testTrapezoidArbitraryFormationP1(std::cout) << std::endl;
+  std::cout << trapezoid_arbitrary_formation<int>::testTrapezoidArbitraryFormationP2(std::cout) << std::endl;
+  std::cout << trapezoid_arbitrary_formation<int>::testTrapezoidArbitraryFormationPolys(std::cout) << std::endl;
+  std::cout << polygon_arbitrary_formation<int>::testPolygonArbitraryFormationSelfTouch1(std::cout) << std::endl;
+  std::cout << trapezoid_arbitrary_formation<int>::testTrapezoidArbitraryFormationSelfTouch1(std::cout) << std::endl;
+  typedef rectangle_data<int> Rectangle;
+  polygon_set_data<int> ps;
+  ps += Rectangle(0, 1, 10, 11);
+  ps += Rectangle(5, 6, 15, 16);
+  std::vector<polygon_data<int> > polys;
+  ps.get_trapezoids(polys);
+  for(unsigned int i = 0; i < polys.size(); ++i) {
+    std::cout << polys[i] << std::endl;
+  }
+  ps.transform(axis_transformation(axis_transformation::FLIP_X));
+  polys.clear();
+  ps.get_trapezoids(polys);
+  for(unsigned int i = 0; i < polys.size(); ++i) {
+    std::cout << polys[i] << std::endl;
+  }
+  polys.clear();
+  ps.get_trapezoids(polys, HORIZONTAL);
+  for(unsigned int i = 0; i < polys.size(); ++i) {
+    std::cout << polys[i] << std::endl;
+  }
+  }
+
+  if(!test_aa_touch()) {
+    std::cout << "test_aa_touch failed\n";
+    return 1;
+  }
+  if(!test_aa_touch_ur()) {
+    std::cout << "test_aa_touch_ur failed\n";
+    return 1;
+  }
+  if(!test_aa_touch_ur()) {
+    std::cout << "test_aa_touch_ur failed\n";
+    return 1;
+  }
+  if(!test_aa_touch_r()) {
+    std::cout << "test_aa_touch_r failed\n";
+    return 1;
+  }
+  if(!test_aa_touch_boundaries()) {
+    std::cout << "test_aa_touch_boundaries failed\n";
+    return 1;
+  }
+  if(!test_aa_concept_interact()) {
+    std::cout << "test_aa_concept_interact failed\n";
+    return 1;
+  }
+
+  {
+    polygon_set_data<int> ps;
+    polygon_90_set_data<int> ps90;
+    rectangle_data<int> rect(0, 1, 10, 100);
+    std::vector<polygon_data<int> > rupolys, rupolys45;
+    ps.insert(rect);
+    ps90.insert(rect);
+    ps.bloat(10);
+    ps90.bloat(10, 10, 10, 10);
+    rupolys.clear();
+    rupolys45.clear();
+    ps.get(rupolys);
+    ps90.get(rupolys45);
+    std::cout << rupolys[0] << std::endl;
+    std::cout << rupolys45[0] << std::endl;
+    if(!equivalence(ps, ps90)) {
+      std::cout << "test manhattan vs general resize up failed\n";
+      return 1;
+    }
+    ps.shrink(10);
+    ps90.shrink(10, 10, 10, 10);
+    if(!equivalence(ps, rect)) {
+      std::cout << "test manhattan vs general resize down failed\n";
+      return 1;
+    }
+    rectangle_data<int> rect2(3, 4, 6, 80);
+    ps -= rect2;
+    ps90 -= rect2;
+    ps.bloat(1);
+    ps90.bloat(1, 1, 1, 1);
+    if(!equivalence(ps, ps90)) {
+      std::cout << "test manhattan vs general with hole resize up failed\n";
+      return 1;
+    }
+    ps.shrink(1);
+    ps90.shrink(1, 1, 1, 1);
+    if(!equivalence(ps, ps90)) {
+      std::cout << "test manhattan vs general with hole resize down failed\n";
+      return 1;
+    }
+    ps.clear();
+    polygon_45_data<int> poly;
+    std::vector<point_data<int> > pts;
+    pts.push_back(point_data<int>(0, 0));
+    pts.push_back(point_data<int>(10, 0));
+    pts.push_back(point_data<int>(0, 10));
+    polygon_45_set_data<int> ps45;
+    set_points(poly, pts.begin(), pts.end());
+    ps.insert(poly);
+    ps45.insert(poly);
+    ps.bloat(9);
+    ps45.resize(9);
+    rupolys.clear();
+    rupolys45.clear();
+    ps.get(rupolys);
+    ps45.get(rupolys45);
+    std::cout << rupolys[0] << std::endl;
+    std::cout << rupolys45[0] << std::endl;
+    pts.clear();
+    pts.push_back(point_data<int>(32, -9));
+    pts.push_back(point_data<int>(-9, 32));
+    pts.push_back(point_data<int>(-9, -9));
+    set_points(poly, pts.begin(), pts.end());
+    if(!equivalence(ps, poly)) {
+      std::cout << "test general resize up failed\n";
+      return 1;
+    }
+    // this test is waived due to rounding differences between 45 and general resizing
+    // general resizing is computing floating point coordinates for the intersection
+    // and rounding those to closest while 45 is computing the normal point and rounding
+    // that to closest, it turns out to result in different intersection point
+    // we want the general to be more accurate to avoid artifacts
+    //if(!equivalence(ps, ps45)) {
+    //  std::cout << "test 45 vs general resize up failed\n";
+    //  return 1;
+    //}
+    ps.shrink(9);
+    ps45.resize(-9);
+    if(!equivalence(ps, ps45)) {
+      std::cout << "test 45 vs general resize down failed\n";
+      return 1;
+    }
+    pts.clear();
+    pts.push_back(point_data<int>(1, 1));
+    pts.push_back(point_data<int>(7, 1));
+    pts.push_back(point_data<int>(1, 7));
+    set_points(poly, pts.begin(), pts.end());
+    ps.insert(poly, true);
+    ps45.insert(poly, true);
+    ps.bloat(1);
+    ps45.resize(1);
+    rupolys.clear();
+    rupolys45.clear();
+    ps.get(rupolys);
+    ps45.get(rupolys45);
+    std::cout << rupolys[0] << std::endl;
+    std::cout << rupolys45[0] << std::endl;
+    pts.clear();
+    pts.push_back(point_data<int>(12, -1));
+    pts.push_back(point_data<int>(5, 6));
+    pts.push_back(point_data<int>(5, 2));
+    pts.push_back(point_data<int>(2, 2));
+    pts.push_back(point_data<int>(2, 5));
+    pts.push_back(point_data<int>(5, 2));
+    pts.push_back(point_data<int>(5, 6));
+    pts.push_back(point_data<int>(-1, 12));
+    pts.push_back(point_data<int>(-1, -1));
+    pts.push_back(point_data<int>(12, -1));
+    set_points(poly, pts.begin(), pts.end());
+    //waived
+    //if(!equivalence(ps, poly)) {
+    //  std::cout << "test general resize up with holes failed\n";
+    //  return 1;
+    //}
+    //waived
+    //if(!equivalence(ps, ps45)) {
+    //  std::cout << "test 45 vs general resize up with holes failed\n";
+    //  return 1;
+    //}
+    ps.shrink(1);
+    ps45.resize(-1);
+    if(!equivalence(ps, ps45)) {
+      std::cout << "test 45 vs general resize down with holes failed\n";
+      return 1;
+    }
+    ps.shrink(10);
+    ps45.resize(-10);
+    if(!equivalence(ps, ps45)) {
+      std::cout << "test 45 vs general resize down 2 with holes failed\n";
+      return 1;
+    }
+  }
+
+  {
+
+    Point pts[] = {construct<Point>(1565, 5735),
+                   construct<Point>(915, 5735),
+                   construct<Point>(915, 7085),
+                   construct<Point>(1565, 7085) };
+    Polygon poly;
+    set_points(poly, pts, pts+4);
+    bool ret=gtl::contains(poly,gtl::construct<Point>(920, 7080));
+    if(!ret) {
+      std::cout << "contains failed!" << std::endl;
+      return 1;
+    }
+    polygon_data<int> poly_aa;
+    set_points(poly_aa, pts, pts+4);
+    ret=gtl::contains(poly,gtl::construct<Point>(920, 7080));
+    if(!ret) {
+      std::cout << "contains 90 failed!" << std::endl;
+      return 1;
+    }
+    polygon_with_holes_data<int> pwh;
+    polygon_90_with_holes_data<int> p90wh;
+    Point pts2[] = {construct<Point>(565, 15735),
+                   construct<Point>(15, 15735),
+                   construct<Point>(15, 17085),
+                   construct<Point>(565, 17085) };
+    set_points(pwh, pts2, pts2+4);
+    set_points(p90wh, pts2, pts2+4);
+    pwh.set_holes(&poly_aa, (&poly_aa)+1);
+    p90wh.set_holes(&poly, (&poly)+1);
+    ret=gtl::contains(pwh,gtl::construct<Point>(920, 7080));
+    if(ret) {
+      std::cout << "contains wh failed!" << std::endl;
+      return 1;
+    }
+    ret=gtl::contains(p90wh,gtl::construct<Point>(920, 7080));
+    if(ret) {
+      std::cout << "contains 90wh failed!" << std::endl;
+      return 1;
+    }
+    std::reverse(pts, pts+4);
+    set_points(poly, pts, pts+4);
+    ret=gtl::contains(poly,gtl::construct<Point>(920, 7080));
+    if(!ret) {
+      std::cout << "reverse contains failed!" << std::endl;
+      return 1;
+    }
+  }
+  {
+//     //MULTIPOLYGON
+//     (
+//      ((200 400,100 400,100 300,200 400)),
+//      ((300 100,200 100,200 0,300 0,300 100)),
+//      ((600 700,500 700,500 600,600 700)),
+//      ((700 300,600 300,600 200,700 300)),
+//      ((800 500,700 600,700 500,800 500)),
+//      ((900 800,800 700,900 700,900 800)),
+//      ((1000 200,900 100,1000 100,1000 200)),
+//      ((1000 800,900 900,900 800,1000 800))),
+    int mp1 [7][2*4] = {
+      {200,400,100,400,100,300,200,400},
+      {600,700,500,700,500,600,600,700},
+      {700,300,600,300,600,200,700,300},
+      {800,500,700,600,700,500,800,500},
+      {900,800,800,700,900,700,900,800},
+      {1000,200,900,100,1000,100,1000,200},
+      {1000,800,900,900,900,800,1000,800}
+    };
+    int mp11 [2*5] = {300,100,200,100,200,0,300,0,300,100};
+    polygon_45_set_data<int> pset1;
+    polygon_45_set_data<int> pset2;
+    for(int i = 0; i < 7; ++i) {
+      addpoly(pset1, mp1[i], 4);
+    }
+    addpoly(pset1, mp11, 5);
+//     //MULTIPOLYGON
+//       (
+//        ((200 800,100 800,100 700,200 700,200 800)),
+//        ((400 200,300 100,400 100,400 200)),
+//        ((400 800,300 700,400 700,400 800)),
+//        ((700 100,600 0,700 0,700 100)),
+//        ((700 200,600 200,600 100,700 200)),
+//        ((900 200,800 200,800 0,900 0,900 200)),
+//        ((1000 300,900 200,1000 200,1000 300)))
+    int mp2 [5][2*4] = {
+      {400,200,300,100,400,100,400,200},
+      {400,800,300,700,400,700,400,800},
+      {700,100,600,0,700,0,700,100},
+      {700,200,600,200,600,100,700,200},
+      {1000,300,900,200,1000,200,1000,300},
+    };
+    int mp21 [2*5] = {200,800,100,800,100,700,200,700,200,800};
+    int mp22 [2*5] = {900,200,800,200,800,0,900,0,900,200};
+    for(int i = 0; i < 5; ++i) {
+      addpoly(pset2, mp2[i], 4);
+    }
+    addpoly(pset2, mp21, 5);
+    addpoly(pset2, mp22, 5);
+    polygon_45_set_data<int> orr = pset1 + pset2;
+    polygon_45_set_data<int> inr = pset1 & pset2;
+    std::cout << area(orr)<<std::endl;;
+    std::cout << area(inr)<<std::endl;;
+    std::vector<polygon_45_with_holes_data<int> > polys;
+    assign(polys, orr);
+    std::cout << area(polys) << std::endl;
+    polygon_set_data<int> testbug;
+    testbug.insert(orr);
+    std::cout << area(testbug) << std::endl;
+    polygon_set_data<int> testbug2;
+    for(size_t i = 0; i < polys.size(); ++i) {
+      for(size_t j = 0; j < polys.size(); ++j) {
+        testbug2.clear();
+        testbug2.insert(polys[i]);
+        testbug2.insert(polys[j]);
+        std::cout << i << " " << j << std::endl;
+        std::cout << polys[i] << std::endl;
+        std::cout << polys[j] << std::endl;
+        if(area(testbug2) == 0.0) {
+          std::cout << area(testbug2) << std::endl;
+          std::cout << "Self touch 45 through general interface failed!\n";
+          return 1;
+        }
+      }
+    }
+  }
+
+  {
+    polygon_set_data<int> t_eq;
+    t_eq.insert(rectangle_data<int>(0, 0, 5, 10));
+    t_eq.insert(rectangle_data<int>(0, 5, 5, 10));
+    std::cout << t_eq <<std::endl;
+    polygon_set_data<int> t_eq2;
+    t_eq2 += rectangle_data<int>(0, 0, 5, 10);
+    std::cout << area(t_eq) <<std::endl;
+    std::cout << area(t_eq2) <<std::endl;   
+    std::cout << t_eq <<std::endl;
+    std::cout << t_eq2 <<std::endl;   
+    if(t_eq != t_eq2) {
+      std::cout << "equivalence failed" << std::endl;
+      return 1;
+    }    
+  }
+
+  {
+    using namespace boost::polygon;
+    typedef point_data<int> Point;
+    typedef segment_data<int> Dls;
+    Point pt1(0, 0);
+    Point pt2(10, 10);
+    Point pt3(20, 20);
+    Point pt4(20, 0);
+    Dls dls1(pt1, pt2);
+    Dls dls2(pt1, pt3);
+    Dls dls3(pt1, pt4);
+    Dls dls4(pt2, pt1);
+    typedef std::vector<segment_data<int> > Dlss;
+    Dlss dlss, result;
+    dlss.push_back(dls1);
+    dlss.push_back(dls2);
+    dlss.push_back(dls3);
+    dlss.push_back(dls4);
+    rectangle_data<int> rect;
+    envelope_segments(rect, dlss.begin(), dlss.end());
+    assert_s(area(rect) == 400.0, "envelope");
+    intersect_segments(result, dlss.begin(), dlss.end());
+    dlss.swap(result);
+    for (Dlss::iterator itr = dlss.begin(); itr != dlss.end(); ++itr) {
+      std::cout << *itr << std::endl;
+    }
+    assert_s(dlss.size() == 5, "intersection");
+    Dls dls5(Point(0,5), Point(5,0));
+    dlss.push_back(dls5);
+    std::cout << std::endl;
+    result.clear();
+    intersect_segments(result, dlss.begin(), dlss.end());
+    dlss.swap(result);
+    for (Dlss::iterator itr = dlss.begin(); itr != dlss.end(); ++itr) {
+      std::cout << *itr << std::endl;
+    }
+    assert_s(dlss.size() == 11, "intersection2");
+  }
+  
+  {
+    using namespace boost::polygon;
+    std::vector<std::pair<std::size_t, segment_data<int> > > segs;
+    segment_data<int> sarray[2];
+    sarray[0] = segment_data<int>(point_data<int>(0,0), point_data<int>(10,10));
+    sarray[1] = segment_data<int>(point_data<int>(10,0), point_data<int>(0,10));
+    intersect_segments(segs, sarray, sarray+2);
+    std::cout << segs.size() << std::endl;
+    assert_s(segs.size() == 4, "intersection3");
+  }
+
+
+  /*New polygon_formation tests*/ 
+  if(test_new_polygon_formation(0,NULL)){
+     std::cerr << "[test_new_polygon_formation] failed" << std::endl;
+     return 1;
+  }
+
+  if(test_new_polygon_formation_marginal_threshold(0,NULL)){
+     std::cerr << "[test_new_polygon_formation_marginal_threshold] failed" 
+         << std::endl;
+     return 1;
+  }
+
+  std::cout << "ALL TESTS COMPLETE\n";
+  return 0;
+}
diff --git a/src/boost/libs/polygon/test/polygon_90_data_test.cpp b/src/boost/libs/polygon/test/polygon_90_data_test.cpp
new file mode 100644
index 00000000..2b61d41e
--- /dev/null
+++ b/src/boost/libs/polygon/test/polygon_90_data_test.cpp
@@ -0,0 +1,52 @@
+// Boost.Polygon library polygon_90_data_test.cpp file
+
+//          Copyright Andrii Sydorchuk 2015.
+// Distributed under 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)
+
+// See http://www.boost.org for updates, documentation, and revision history.
+
+#include <boost/core/lightweight_test.hpp>
+#include <boost/polygon/polygon.hpp>
+#include <iostream>
+#include <vector>
+
+using namespace boost::polygon;
+
+void polygon_90_data_test()
+{
+    typedef polygon_90_data<int> polygon_type;
+    typedef polygon_traits_90<polygon_type>::point_type point_type;
+    typedef polygon_type::iterator_type iterator_type;
+
+    std::vector<point_type> data;
+    data.push_back(point_type(0, 0)); // 1
+    data.push_back(point_type(10, 0)); // 2
+    data.push_back(point_type(10, 10)); // 3
+    data.push_back(point_type(0, 10)); // 4
+
+    polygon_type polygon;
+    polygon.set(data.begin(), data.end());
+
+    std::cout << "Interesting: " << std::endl;
+    for (polygon_type::compact_iterator_type it = polygon.begin_compact(); it != polygon.end_compact(); ++it) {
+        std::cout << *it << " ";
+    }
+    std::cout << std::endl;
+
+    iterator_type it = polygon.begin();
+    for (int i = 0; i < 2; i++) {
+        it++;
+    }
+
+    iterator_type it_3rd = it;
+    it++;
+    BOOST_TEST(it != it_3rd);
+}
+
+int main()
+{
+    polygon_90_data_test();
+    return boost::report_errors();
+}
diff --git a/src/boost/libs/polygon/test/polygon_interval_test.cpp b/src/boost/libs/polygon/test/polygon_interval_test.cpp
new file mode 100644
index 00000000..070d34f7
--- /dev/null
+++ b/src/boost/libs/polygon/test/polygon_interval_test.cpp
@@ -0,0 +1,271 @@
+// Boost.Polygon library polygon_interval_test.cpp file
+
+//          Copyright Andrii Sydorchuk 2012.
+// Distributed under 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)
+
+// See http://www.boost.org for updates, documentation, and revision history.
+
+#include <boost/core/lightweight_test.hpp>
+#include <boost/polygon/interval_concept.hpp>
+#include <boost/polygon/interval_data.hpp>
+#include <boost/polygon/interval_traits.hpp>
+
+using namespace boost::polygon;
+
+void interval_data_test()
+{
+  typedef interval_data<int> interval_type;
+  interval_type interval1(1, 2);
+  interval_type interval2;
+  interval2 = interval1;
+
+  BOOST_TEST_EQ(interval1.low(), 1);
+  BOOST_TEST_EQ(interval1.high(), 2);
+  BOOST_TEST_EQ(interval1.get(LOW), 1);
+  BOOST_TEST_EQ(interval1.get(HIGH), 2);
+  BOOST_TEST(interval1 == interval2);
+  BOOST_TEST(!(interval1 != interval2));
+  BOOST_TEST(!(interval1 < interval2));
+  BOOST_TEST(!(interval1 > interval2));
+  BOOST_TEST(interval1 <= interval2);
+  BOOST_TEST(interval1 >= interval2);
+
+  interval1.low(2);
+  interval1.high(1);
+  BOOST_TEST_EQ(interval1.low(), 2);
+  BOOST_TEST_EQ(interval1.high(), 1);
+  BOOST_TEST(!(interval1 == interval2));
+  BOOST_TEST(interval1 != interval2);
+
+  interval2.set(LOW, 2);
+  interval2.set(HIGH, 1);
+  BOOST_TEST(interval1 == interval2);
+}
+
+void interval_traits_test()
+{
+  typedef interval_data<int> interval_type;
+
+  interval_type interval = interval_mutable_traits<interval_type>::construct(1, 2);
+  BOOST_TEST_EQ(interval_traits<interval_type>::get(interval, LOW), 1);
+  BOOST_TEST_EQ(interval_traits<interval_type>::get(interval, HIGH), 2);
+
+  interval_mutable_traits<interval_type>::set(interval, LOW, 3);
+  interval_mutable_traits<interval_type>::set(interval, HIGH, 4);
+  BOOST_TEST_EQ(interval_traits<interval_type>::get(interval, LOW), 3);
+  BOOST_TEST_EQ(interval_traits<interval_type>::get(interval, HIGH), 4);
+}
+
+template <typename T>
+struct Interval {
+  T left;
+  T right;
+};
+
+namespace boost {
+namespace polygon {
+  template <typename T>
+  struct geometry_concept< Interval<T> > {
+    typedef interval_concept type;
+  };
+
+  template <typename T>
+  struct interval_traits< Interval<T> > {
+    typedef T coordinate_type;
+
+    static coordinate_type get(const Interval<T>& interval, direction_1d dir) {
+      return (dir == LOW) ? interval.left : interval.right;
+    }
+  };
+
+  template <typename T>
+  struct interval_mutable_traits< Interval<T> > {
+    typedef T coordinate_type;
+
+    static void set(Interval<T>& interval, direction_1d dir, T value) {
+      (dir == LOW) ? interval.left = value : interval.right = value;
+    }
+
+    static Interval<T> construct(coordinate_type left, coordinate_type right) {
+      Interval<T> interval;
+      interval.left = left;
+      interval.right = right;
+      return interval;
+    }
+  };
+}  // polygon
+}  // boost
+
+void interval_concept_test1()
+{
+  typedef Interval<int> interval_type;
+
+  interval_type interval1 = construct<interval_type>(2, 1);
+  BOOST_TEST_EQ(interval1.left, 1);
+  BOOST_TEST_EQ(interval1.right, 2);
+
+  set(interval1, LOW, 3);
+  set(interval1, HIGH, 4);
+  BOOST_TEST_EQ(get(interval1, LOW), 3);
+  BOOST_TEST_EQ(get(interval1, HIGH), 4);
+
+  interval_type interval2 = copy_construct<interval_type>(interval1);
+  BOOST_TEST(equivalence(interval1, interval2));
+
+  low(interval2, 1);
+  high(interval2, 2);
+  BOOST_TEST_EQ(low(interval2), 1);
+  BOOST_TEST_EQ(high(interval2), 2);
+
+  assign(interval1, interval2);
+  BOOST_TEST(equivalence(interval1, interval2));
+}
+
+void interval_concept_test2()
+{
+  typedef Interval<int> interval_type;
+
+  interval_type interval1 = construct<interval_type>(1, 3);
+  BOOST_TEST_EQ(center(interval1), 2);
+  BOOST_TEST_EQ(delta(interval1), 2);
+
+  flip(interval1, -1);
+  BOOST_TEST_EQ(low(interval1), -5);
+  BOOST_TEST_EQ(high(interval1), -3);
+
+  scale_up(interval1, 2);
+  BOOST_TEST_EQ(low(interval1), -10);
+  BOOST_TEST_EQ(high(interval1), -6);
+
+  scale_down(interval1, 2);
+  BOOST_TEST_EQ(low(interval1), -5);
+  BOOST_TEST_EQ(high(interval1), -3);
+
+  move(interval1, 5);
+  BOOST_TEST_EQ(low(interval1), 0);
+  BOOST_TEST_EQ(high(interval1), 2);
+
+  convolve(interval1, 1);
+  BOOST_TEST_EQ(low(interval1), 1);
+  BOOST_TEST_EQ(high(interval1), 3);
+
+  deconvolve(interval1, 2);
+  BOOST_TEST_EQ(low(interval1), -1);
+  BOOST_TEST_EQ(high(interval1), 1);
+
+  interval_type interval2 = construct<interval_type>(-1, 2);
+  convolve(interval1, interval2);
+  BOOST_TEST_EQ(low(interval1), -2);
+  BOOST_TEST_EQ(high(interval1), 3);
+
+  deconvolve(interval1, interval2);
+  BOOST_TEST_EQ(low(interval1), -1);
+  BOOST_TEST_EQ(high(interval1), 1);
+
+  reflected_convolve(interval1, interval2);
+  BOOST_TEST_EQ(low(interval1), -3);
+  BOOST_TEST_EQ(high(interval1), 2);
+
+  reflected_deconvolve(interval1, interval2);
+  BOOST_TEST_EQ(low(interval1), -1);
+  BOOST_TEST_EQ(high(interval1), 1);
+}
+
+void interval_concept_test3()
+{
+  typedef Interval<int> interval_type;
+
+  interval_type interval1 = construct<interval_type>(1, 3);
+  BOOST_TEST_EQ(euclidean_distance(interval1, -2), 3);
+  BOOST_TEST_EQ(euclidean_distance(interval1, 2), 0);
+  BOOST_TEST_EQ(euclidean_distance(interval1, 4), 1);
+
+  interval_type interval2 = construct<interval_type>(-1, 0);
+  BOOST_TEST_EQ(euclidean_distance(interval1, interval2), 1);
+  BOOST_TEST(!intersects(interval1, interval2));
+  BOOST_TEST(!boundaries_intersect(interval1, interval2));
+  BOOST_TEST(!intersect(interval2, interval1));
+  BOOST_TEST_EQ(low(interval2), -1);
+  BOOST_TEST_EQ(high(interval2), 0);
+
+  interval_type interval3 = construct<interval_type>(-1, 6);
+  BOOST_TEST_EQ(euclidean_distance(interval1, interval3), 0);
+  BOOST_TEST(intersects(interval1, interval3));
+  BOOST_TEST(!boundaries_intersect(interval1, interval3));
+  BOOST_TEST(intersect(interval3, interval1));
+  BOOST_TEST_EQ(low(interval3), 1);
+  BOOST_TEST_EQ(high(interval3), 3);
+
+  interval_type interval4 = construct<interval_type>(5, 6);
+  BOOST_TEST_EQ(euclidean_distance(interval1, interval4), 2);
+  BOOST_TEST(!intersects(interval1, interval4));
+  BOOST_TEST(!boundaries_intersect(interval1, interval4));
+  BOOST_TEST(!intersect(interval4, interval1));
+  BOOST_TEST_EQ(low(interval4), 5);
+  BOOST_TEST_EQ(high(interval4), 6);
+
+  interval_type interval5 = construct<interval_type>(3, 5);
+  BOOST_TEST_EQ(euclidean_distance(interval1, interval5), 0);
+  BOOST_TEST(!intersects(interval1, interval5, false));
+  BOOST_TEST(boundaries_intersect(interval1, interval5));
+  BOOST_TEST(intersect(interval5, interval1));
+  BOOST_TEST_EQ(low(interval5), 3);
+  BOOST_TEST_EQ(high(interval5), 3);
+}
+
+void interval_concept_test4()
+{
+  typedef Interval<int> interval_type;
+
+  interval_type interval1 = construct<interval_type>(1, 3);
+  interval_type interval2 = construct<interval_type>(3, 5);
+  BOOST_TEST(!abuts(interval1, interval2, LOW));
+  BOOST_TEST(abuts(interval1, interval2, HIGH));
+  BOOST_TEST(abuts(interval1, interval2));
+
+  bloat(interval1, 1);
+  BOOST_TEST_EQ(low(interval1), 0);
+  BOOST_TEST_EQ(high(interval1), 4);
+  BOOST_TEST(!abuts(interval1, interval2));
+
+  bloat(interval1, LOW, 1);
+  BOOST_TEST_EQ(low(interval1), -1);
+  BOOST_TEST_EQ(high(interval1), 4);
+
+  shrink(interval1, LOW, 1);
+  BOOST_TEST_EQ(low(interval1), 0);
+  BOOST_TEST_EQ(high(interval1), 4);
+
+  shrink(interval1, 1);
+  BOOST_TEST_EQ(low(interval1), 1);
+  BOOST_TEST_EQ(high(interval1), 3);
+
+  BOOST_TEST(encompass(interval1, 4));
+  BOOST_TEST_EQ(low(interval1), 1);
+  BOOST_TEST_EQ(high(interval1), 4);
+
+  BOOST_TEST(encompass(interval1, interval2));
+  BOOST_TEST_EQ(low(interval1), 1);
+  BOOST_TEST_EQ(high(interval1), 5);
+
+  interval1 = get_half(interval1, LOW);
+  BOOST_TEST_EQ(low(interval1), 1);
+  BOOST_TEST_EQ(high(interval1), 3);
+
+  BOOST_TEST(join_with(interval1, interval2));
+  BOOST_TEST_EQ(low(interval1), 1);
+  BOOST_TEST_EQ(high(interval1), 5);
+}
+
+int main()
+{
+    interval_data_test();
+    interval_traits_test();
+    interval_concept_test1();
+    interval_concept_test2();
+    interval_concept_test3();
+    interval_concept_test4();
+    return boost::report_errors();
+}
diff --git a/src/boost/libs/polygon/test/polygon_point_test.cpp b/src/boost/libs/polygon/test/polygon_point_test.cpp
new file mode 100644
index 00000000..ce57f5b1
--- /dev/null
+++ b/src/boost/libs/polygon/test/polygon_point_test.cpp
@@ -0,0 +1,205 @@
+// Boost.Polygon library polygon_point_test.cpp file
+
+//          Copyright Andrii Sydorchuk 2012.
+// Distributed under 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)
+
+// See http://www.boost.org for updates, documentation, and revision history.
+
+#include <boost/core/lightweight_test.hpp>
+#include <boost/polygon/point_concept.hpp>
+#include <boost/polygon/point_data.hpp>
+#include <boost/polygon/point_traits.hpp>
+
+using namespace boost::polygon;
+
+void point_data_test()
+{
+  typedef point_data<int> point_type;
+
+  point_type point1(1, 2);
+  point_type point2;
+  point2 = point1;
+  BOOST_TEST_EQ(point1.x(), 1);
+  BOOST_TEST_EQ(point1.y(), 2);
+  BOOST_TEST_EQ(point2.x(), 1);
+  BOOST_TEST_EQ(point2.y(), 2);
+  BOOST_TEST(point1 == point2);
+  BOOST_TEST(!(point1 != point2));
+  BOOST_TEST(!(point1 < point2));
+  BOOST_TEST(!(point1 > point2));
+  BOOST_TEST(point1 <= point2);
+  BOOST_TEST(point1 >= point2);
+
+  point2.x(2);
+  point2.y(1);
+  BOOST_TEST_EQ(point2.x(), 2);
+  BOOST_TEST_EQ(point2.y(), 1);
+  BOOST_TEST(!(point1 == point2));
+  BOOST_TEST(point1 != point2);
+  BOOST_TEST(point1 < point2);
+  BOOST_TEST(!(point1 > point2));
+  BOOST_TEST(point1 <= point2);
+  BOOST_TEST(!(point1 >= point2));
+
+  point2.set(HORIZONTAL, 1);
+  point2.set(VERTICAL, 2);
+  BOOST_TEST(point1 == point2);
+}
+
+void point_traits_test()
+{
+  typedef point_data<int> point_type;
+
+  point_type point = point_mutable_traits<point_type>::construct(1, 2);
+  BOOST_TEST_EQ(point_traits<point_type>::get(point, HORIZONTAL), 1);
+  BOOST_TEST_EQ(point_traits<point_type>::get(point, VERTICAL), 2);
+
+  point_mutable_traits<point_type>::set(point, HORIZONTAL, 3);
+  point_mutable_traits<point_type>::set(point, VERTICAL, 4);
+  BOOST_TEST_EQ(point_traits<point_type>::get(point, HORIZONTAL), 3);
+  BOOST_TEST_EQ(point_traits<point_type>::get(point, VERTICAL), 4);
+}
+
+template <typename T>
+struct Point {
+  T x;
+  T y;
+};
+
+namespace boost {
+namespace polygon {
+  template <typename T>
+  struct geometry_concept< Point<T> > {
+    typedef point_concept type;
+  };
+
+  template <typename T>
+  struct point_traits< Point<T> > {
+    typedef T coordinate_type;
+
+    static coordinate_type get(const Point<T>& point, orientation_2d orient) {
+      return (orient == HORIZONTAL) ? point.x : point.y;
+    }
+  };
+
+  template <typename T>
+  struct point_mutable_traits< Point<T> > {
+    typedef T coordinate_type;
+
+    static void set(Point<T>& point, orientation_2d orient, T value) {
+      (orient == HORIZONTAL) ? point.x = value : point.y = value;
+    }
+
+    static Point<T> construct(coordinate_type x, coordinate_type y) {
+      Point<T> point;
+      point.x = x;
+      point.y = y;
+      return point;
+    }
+  };
+}  // polygon
+}  // boost
+
+void point_concept_test1()
+{
+  typedef Point<int> point_type;
+
+  point_type point1 = construct<point_type>(1, 2);
+  BOOST_TEST_EQ(point1.x, 1);
+  BOOST_TEST_EQ(point1.y, 2);
+
+  set(point1, HORIZONTAL, 3);
+  set(point1, VERTICAL, 4);
+  BOOST_TEST_EQ(get(point1, HORIZONTAL), 3);
+  BOOST_TEST_EQ(get(point1, VERTICAL), 4);
+
+  point_type point2;
+  assign(point2, point1);
+  BOOST_TEST(equivalence(point1, point2));
+
+  x(point2, 1);
+  y(point2, 2);
+  BOOST_TEST_EQ(x(point2), 1);
+  BOOST_TEST_EQ(y(point2), 2);
+}
+
+void point_concept_test2()
+{
+  typedef Point<int> point_type;
+
+  point_type point1 = construct<point_type>(1, 2);
+  point_type point2 = construct<point_type>(5, 5);
+  BOOST_TEST_EQ(euclidean_distance(point1, point2, HORIZONTAL), 4);
+  BOOST_TEST_EQ(euclidean_distance(point1, point2, VERTICAL), 3);
+  BOOST_TEST_EQ(manhattan_distance(point1, point2), 7);
+  BOOST_TEST_EQ(euclidean_distance(point1, point2), 5.0);
+}
+
+void point_concept_test3()
+{
+  typedef Point<int> point_type;
+
+  point_type point = construct<point_type>(1, 2);
+  point_type shift = construct<point_type>(4, 3);
+  convolve(point, shift);
+  BOOST_TEST_EQ(x(point), 5);
+  BOOST_TEST_EQ(y(point), 5);
+
+  deconvolve(point, shift);
+  BOOST_TEST_EQ(x(point), 1);
+  BOOST_TEST_EQ(y(point), 2);
+
+  scale_up(point, 5);
+  BOOST_TEST_EQ(x(point), 5);
+  BOOST_TEST_EQ(y(point), 10);
+
+  scale_down(point, 5);
+  BOOST_TEST_EQ(x(point), 1);
+  BOOST_TEST_EQ(y(point), 2);
+
+  move(point, HORIZONTAL, 2);
+  move(point, VERTICAL, 3);
+  BOOST_TEST_EQ(x(point), 3);
+  BOOST_TEST_EQ(y(point), 5);
+}
+
+template<typename T>
+struct Transformer {
+  void scale(T& x, T& y) const {
+    x *= 2;
+    y *= 2;
+  }
+
+  void transform(T& x, T& y) const {
+    T tmp = x;
+    x = y;
+    y = tmp;
+  }
+};
+
+void point_concept_test4()
+{
+  typedef Point<int> point_type;
+
+  point_type point = construct<point_type>(1, 2);
+  scale(point, Transformer<int>());
+  BOOST_TEST_EQ(x(point), 2);
+  BOOST_TEST_EQ(y(point), 4);
+
+  transform(point, Transformer<int>());
+  BOOST_TEST_EQ(x(point), 4);
+  BOOST_TEST_EQ(y(point), 2);
+}
+
+int main()
+{
+    point_data_test();
+    point_traits_test();
+    point_concept_test1();
+    point_concept_test2();
+    point_concept_test3();
+    point_concept_test4();
+    return boost::report_errors();
+}
diff --git a/src/boost/libs/polygon/test/polygon_rectangle_formation_test.cpp b/src/boost/libs/polygon/test/polygon_rectangle_formation_test.cpp
new file mode 100644
index 00000000..82640640
--- /dev/null
+++ b/src/boost/libs/polygon/test/polygon_rectangle_formation_test.cpp
@@ -0,0 +1,44 @@
+// Boost.Polygon library polygon_rectangle_formation_test.cpp file
+
+//          Copyright Andrii Sydorchuk 2015.
+// Distributed under 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)
+
+// See http://www.boost.org for updates, documentation, and revision history.
+
+#include <boost/core/lightweight_test.hpp>
+#include <boost/polygon/polygon.hpp>
+
+using namespace boost::polygon;
+
+void rectangle_formation_test1()
+{
+  typedef polygon_90_with_holes_data<int> polygon_type;
+  typedef polygon_traits<polygon_type>::point_type point_type;
+
+  polygon_type poly;
+  point_type points[] = {
+    boost::polygon::construct<point_type>(0, 0),
+    boost::polygon::construct<point_type>(0, 10),
+    boost::polygon::construct<point_type>(10, 10),
+    boost::polygon::construct<point_type>(10, 0),
+  };
+  boost::polygon::set_points(poly, points, points + 4);
+
+  std::vector< rectangle_data<int> > rects;
+  boost::polygon::get_rectangles(rects, poly);
+
+  BOOST_TEST_EQ(1, rects.size());
+  const rectangle_data<int>& rect = rects[0];
+  BOOST_TEST_EQ(0, rect.get(WEST));
+  BOOST_TEST_EQ(10, rect.get(EAST));
+  BOOST_TEST_EQ(10, rect.get(NORTH));
+  BOOST_TEST_EQ(0, rect.get(SOUTH));
+}
+
+int main()
+{
+    rectangle_formation_test1();
+    return boost::report_errors();
+}
diff --git a/src/boost/libs/polygon/test/polygon_rectangle_test.cpp b/src/boost/libs/polygon/test/polygon_rectangle_test.cpp
new file mode 100644
index 00000000..66a586df
--- /dev/null
+++ b/src/boost/libs/polygon/test/polygon_rectangle_test.cpp
@@ -0,0 +1,45 @@
+// Boost.Polygon library polygon_rectangle_test.cpp file
+
+//          Copyright Andrii Sydorchuk 2014.
+// Distributed under 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)
+
+// See http://www.boost.org for updates, documentation, and revision history.
+
+#include <boost/core/lightweight_test.hpp>
+#include <boost/polygon/rectangle_concept.hpp>
+#include <boost/polygon/rectangle_data.hpp>
+#include <boost/polygon/rectangle_traits.hpp>
+
+using namespace boost::polygon;
+
+template <typename interval_type>
+void CHECK_INTERVAL_EQUAL(const interval_type& i1, const interval_type& i2) {
+  BOOST_TEST_EQ(get(i1, LOW), get(i2, LOW));
+  BOOST_TEST_EQ(get(i1, HIGH), get(i2, HIGH));
+}
+
+template <typename rectangle_type>
+void CHECK_RECT_EQUAL(const rectangle_type& r1, const rectangle_type& r2) {
+  CHECK_INTERVAL_EQUAL(horizontal(r1), horizontal(r2));
+  CHECK_INTERVAL_EQUAL(vertical(r1), vertical(r2));
+}
+
+void rectangle_concept_test1()
+{
+  typedef rectangle_data<int> rectangle_type;
+
+  rectangle_type rectangle1 = construct<rectangle_type>(-1, -1, 1, 1);
+  scale_up(rectangle1, 2);
+  CHECK_RECT_EQUAL(construct<rectangle_type>(-2, -2, 2, 2), rectangle1);
+
+  scale_down(rectangle1, 2);
+  CHECK_RECT_EQUAL(construct<rectangle_type>(-1, -1, 1, 1), rectangle1);
+}
+
+int main()
+{
+    rectangle_concept_test1();
+    return boost::report_errors();
+}
diff --git a/src/boost/libs/polygon/test/polygon_segment_test.cpp b/src/boost/libs/polygon/test/polygon_segment_test.cpp
new file mode 100644
index 00000000..a9042f5e
--- /dev/null
+++ b/src/boost/libs/polygon/test/polygon_segment_test.cpp
@@ -0,0 +1,485 @@
+// Boost.Polygon library polygon_segment_test.cpp file
+
+//          Copyright Andrii Sydorchuk 2012.
+// Distributed under 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)
+
+// See http://www.boost.org for updates, documentation, and revision history.
+
+#include <boost/core/lightweight_test.hpp>
+#include <boost/polygon/segment_concept.hpp>
+#include <boost/polygon/segment_data.hpp>
+#include <boost/polygon/segment_traits.hpp>
+
+using namespace boost::polygon;
+
+void segment_data_test()
+{
+  typedef point_data<int> point_type;
+  typedef segment_data<int> segment_type;
+  point_type point1(1, 2);
+  point_type point2(3, 4);
+  segment_type segment1(point1, point2);
+  segment_type segment2;
+  segment2 = segment1;
+
+  BOOST_TEST(segment1.low() == point1);
+  BOOST_TEST(segment1.high() == point2);
+  BOOST_TEST(segment1.get(LOW) == point1);
+  BOOST_TEST(segment1.get(HIGH) == point2);
+  BOOST_TEST(segment1 == segment2);
+  BOOST_TEST(!(segment1 != segment2));
+  BOOST_TEST(!(segment1 < segment2));
+  BOOST_TEST(!(segment1 > segment1));
+  BOOST_TEST(segment1 <= segment2);
+  BOOST_TEST(segment1 >= segment2);
+
+  segment1.low(point2);
+  segment1.high(point1);
+  BOOST_TEST(segment1.low() == point2);
+  BOOST_TEST(segment1.high() == point1);
+  BOOST_TEST(!(segment1 == segment2));
+  BOOST_TEST(segment1 != segment2);
+
+  segment2.set(LOW, point2);
+  segment2.set(HIGH, point1);
+  BOOST_TEST(segment1 == segment2);
+}
+
+void segment_traits_test()
+{
+  typedef point_data<int> point_type;
+  typedef segment_data<int> segment_type;
+
+  point_type point1(1, 2);
+  point_type point2(3, 4);
+  segment_type segment =
+      segment_mutable_traits<segment_type>::construct(point1, point2);
+
+  BOOST_TEST(segment_traits<segment_type>::get(segment, LOW) == point1);
+  BOOST_TEST(segment_traits<segment_type>::get(segment, HIGH) == point2);
+
+  segment_mutable_traits<segment_type>::set(segment, LOW, point2);
+  segment_mutable_traits<segment_type>::set(segment, HIGH, point1);
+  BOOST_TEST(segment_traits<segment_type>::get(segment, LOW) == point2);
+  BOOST_TEST(segment_traits<segment_type>::get(segment, HIGH) == point1);
+}
+
+template <typename T>
+struct Segment {
+  typedef T coordinate_type;
+  typedef point_data<int> point_type;
+  point_type p0;
+  point_type p1;
+};
+
+namespace boost {
+namespace polygon {
+  template <typename T>
+  struct geometry_concept< Segment<T> > {
+    typedef segment_concept type;
+  };
+
+  template <typename T>
+  struct segment_traits< Segment<T> > {
+    typedef T coordinate_type;
+    typedef point_data<int> point_type;
+
+    static point_type get(const Segment<T>& segment, direction_1d dir) {
+      return dir.to_int() ? segment.p1 : segment.p0;
+    }
+  };
+
+  template <typename T>
+  struct segment_mutable_traits< Segment<T> > {
+    typedef T coordinate_type;
+    typedef point_data<int> point_type;
+
+    static void set(
+        Segment<T>& segment, direction_1d dir, const point_type& point) {
+      dir.to_int() ? segment.p1 = point : segment.p0 = point;;
+    }
+
+    static Segment<T> construct(
+        const point_type& point1, const point_type& point2) {
+      Segment<T> segment;
+      segment.p0 = point1;
+      segment.p1 = point2;
+      return segment;
+    }
+  };
+}
+}
+
+void segment_concept_test1()
+{
+  typedef point_data<int> point_type;
+  typedef Segment<int> segment_type;
+
+  point_type point1(1, 2);
+  point_type point2(3, 4);
+  point_type point3(2, 3);
+  segment_type segment1 = construct<segment_type>(point1, point2);
+  BOOST_TEST(segment1.p0 == point1);
+  BOOST_TEST(segment1.p1 == point2);
+  BOOST_TEST(get(segment1, LOW) == point1);
+  BOOST_TEST(low(segment1) == point1);
+  BOOST_TEST(get(segment1, HIGH) == point2);
+  BOOST_TEST(high(segment1) == point2);
+  BOOST_TEST(center(segment1) == point3);
+
+  set(segment1, LOW, point2);
+  set(segment1, HIGH, point1);
+  BOOST_TEST(segment1.p0 == point2);
+  BOOST_TEST(segment1.p1 == point1);
+  BOOST_TEST(get(segment1, LOW) == point2);
+  BOOST_TEST(get(segment1, HIGH) == point1);
+  low(segment1, point1);
+  high(segment1, point2);
+  BOOST_TEST(segment1.p0 == point1);
+  BOOST_TEST(segment1.p1 == point2);
+
+  segment_data<int> segment2 = copy_construct< segment_data<int> >(segment1);
+  BOOST_TEST(segment1.p0 == segment2.low());
+  BOOST_TEST(segment1.p1 == segment2.high());
+  BOOST_TEST(equivalence(segment1, segment2));
+
+  segment_data<int> segment3 = construct< segment_data<int> >(point2, point1);
+  assign(segment1, segment3);
+  BOOST_TEST(segment1.p0 == point2);
+  BOOST_TEST(segment1.p1 == point1);
+  BOOST_TEST(!equivalence(segment1, segment2));
+}
+
+void segment_concept_test2()
+{
+  typedef point_data<int> point_type;
+  typedef Segment<int> segment_type;
+
+  point_type point1(1, 2);
+  point_type point2(2, 4);
+  point_type point3(0, 0);
+  point_type point4(5, 10);
+  point_type point5(1, 3);
+  point_type point6(2, 3);
+  point_type point7(100, 201);
+  point_type point8(100, 200);
+  point_type point9(100, 199);
+  segment_type segment1 = construct<segment_type>(point1, point2);
+  segment_type segment2 = construct<segment_type>(point2, point1);
+  segment_type segment3 = construct<segment_type>(point1, point5);
+
+  BOOST_TEST(orientation(segment1, point1) == 0);
+  BOOST_TEST(orientation(segment1, point2) == 0);
+  BOOST_TEST(orientation(segment1, point3) == 0);
+  BOOST_TEST(orientation(segment1, point4) == 0);
+  BOOST_TEST(orientation(segment1, point5) == 1);
+  BOOST_TEST(orientation(segment2, point5) == -1);
+  BOOST_TEST(orientation(segment1, point6) == -1);
+  BOOST_TEST(orientation(segment2, point6) == 1);
+  BOOST_TEST(orientation(segment1, point7) == 1);
+  BOOST_TEST(orientation(segment2, point7) == -1);
+  BOOST_TEST(orientation(segment1, point8) == 0);
+  BOOST_TEST(orientation(segment1, point9) == -1);
+  BOOST_TEST(orientation(segment2, point9) == 1);
+  BOOST_TEST(orientation(segment3, point6) == -1);
+  BOOST_TEST(orientation(segment3, point3) == 1);
+}
+
+void segment_concept_test3()
+{
+  typedef point_data<int> point_type;
+  typedef Segment<int> segment_type;
+
+  segment_type segment1 = construct<segment_type>(
+      point_type(0, 0), point_type(1, 2));
+  segment_type segment2 = construct<segment_type>(
+      point_type(0, 0), point_type(2, 4));
+  segment_type segment3 = construct<segment_type>(
+      point_type(0, 0), point_type(2, 3));
+  segment_type segment4 = construct<segment_type>(
+      point_type(0, 0), point_type(2, 5));
+  segment_type segment5 = construct<segment_type>(
+      point_type(0, 2), point_type(2, 0));
+
+  BOOST_TEST(orientation(segment1, segment2) == 0);
+  BOOST_TEST(orientation(segment1, segment3) == -1);
+  BOOST_TEST(orientation(segment3, segment1) == 1);
+  BOOST_TEST(orientation(segment1, segment4) == 1);
+  BOOST_TEST(orientation(segment4, segment1) == -1);
+  BOOST_TEST(orientation(segment1, segment5) == -1);
+  BOOST_TEST(orientation(segment5, segment1) == 1);
+}
+
+void segment_concept_test4()
+{
+  typedef point_data<int> point_type;
+  typedef Segment<int> segment_type;
+
+  point_type point1(1, 2);
+  point_type point2(3, 6);
+  point_type point3(2, 4);
+  point_type point4(4, 8);
+  point_type point5(0, 0);
+  segment_type segment = construct<segment_type>(point1, point2);
+
+  BOOST_TEST(contains(segment, point1, true));
+  BOOST_TEST(contains(segment, point2, true));
+  BOOST_TEST(!contains(segment, point1, false));
+  BOOST_TEST(!contains(segment, point2, false));
+  BOOST_TEST(contains(segment, point3, false));
+  BOOST_TEST(!contains(segment, point4, true));
+  BOOST_TEST(!contains(segment, point5, true));
+}
+
+void segment_concept_test5()
+{
+  typedef point_data<int> point_type;
+  typedef Segment<int> segment_type;
+
+  point_type point1(0, 0);
+  point_type point2(10, 0);
+  point_type point3(5, 0);
+  point_type point4(-1, 0);
+  point_type point5(11, 0);
+  segment_type segment = construct<segment_type>(point1, point2);
+
+  BOOST_TEST(contains(segment, point1, true));
+  BOOST_TEST(contains(segment, point2, true));
+  BOOST_TEST(!contains(segment, point1, false));
+  BOOST_TEST(!contains(segment, point2, false));
+  BOOST_TEST(contains(segment, point3, false));
+  BOOST_TEST(!contains(segment, point4, true));
+  BOOST_TEST(!contains(segment, point5, true));
+}
+
+void segment_concept_test6()
+{
+  typedef point_data<int> point_type;
+  typedef Segment<int> segment_type;
+
+  point_type point1(0, 0);
+  point_type point2(1, 2);
+  point_type point3(2, 4);
+  point_type point4(3, 6);
+  point_type point5(4, 8);
+  point_type point6(5, 10);
+  segment_type segment1 = construct<segment_type>(point2, point5);
+  segment_type segment2 = construct<segment_type>(point3, point4);
+  segment_type segment3 = construct<segment_type>(point1, point3);
+  segment_type segment4 = construct<segment_type>(point4, point6);
+
+  BOOST_TEST(contains(segment1, segment2, false));
+  BOOST_TEST(!contains(segment2, segment1, true));
+  BOOST_TEST(!contains(segment1, segment3, true));
+  BOOST_TEST(!contains(segment1, segment4, true));
+  BOOST_TEST(contains(segment1, segment1, true));
+  BOOST_TEST(!contains(segment1, segment1, false));
+}
+
+template<typename T>
+struct Transformer {
+  void scale(T& x, T& y) const {
+    x *= 2;
+    y *= 2;
+  }
+
+  void transform(T& x, T& y) const {
+    T tmp = x;
+    x = y;
+    y = tmp;
+  }
+};
+
+void segment_concept_test7()
+{
+  typedef point_data<int> point_type;
+  typedef Segment<int> segment_type;
+
+  point_type point1(1, 2);
+  point_type point2(4, 6);
+  segment_type segment1 = construct<segment_type>(point1, point2);
+
+  scale_up(segment1, 3);
+  BOOST_TEST(low(segment1) == point_type(3, 6));
+  BOOST_TEST(high(segment1) == point_type(12, 18));
+
+  scale_down(segment1, 3);
+  BOOST_TEST(low(segment1) == point1);
+  BOOST_TEST(high(segment1) == point2);
+  BOOST_TEST(length(segment1) == 5);
+
+  move(segment1, HORIZONTAL, 1);
+  move(segment1, VERTICAL, 2);
+  BOOST_TEST(low(segment1) == point_type(2, 4));
+  BOOST_TEST(high(segment1) == point_type(5, 8));
+  BOOST_TEST(length(segment1) == 5);
+
+  convolve(segment1, point_type(1, 2));
+  BOOST_TEST(low(segment1) == point_type(3, 6));
+  BOOST_TEST(high(segment1) == point_type(6, 10));
+
+  deconvolve(segment1, point_type(2, 4));
+  BOOST_TEST(low(segment1) == point1);
+  BOOST_TEST(high(segment1) == point2);
+
+  scale(segment1, Transformer<int>());
+  BOOST_TEST(low(segment1) == point_type(2, 4));
+  BOOST_TEST(high(segment1) == point_type(8, 12));
+  transform(segment1, Transformer<int>());
+  BOOST_TEST(low(segment1) == point_type(4, 2));
+  BOOST_TEST(high(segment1) == point_type(12, 8));
+}
+
+void segment_concept_test8()
+{
+  typedef point_data<int> point_type;
+  typedef Segment<int> segment_type;
+
+  segment_type segment1 = construct<segment_type>(
+      point_type(0, 0), point_type(1, 2));
+  segment_type segment2 = construct<segment_type>(
+      point_type(1, 2), point_type(2, 4));
+  segment_type segment3 = construct<segment_type>(
+      point_type(2, 4), point_type(0, 4));
+  segment_type segment4 = construct<segment_type>(
+      point_type(0, 4), point_type(0, 0));
+
+  BOOST_TEST(abuts(segment1, segment2, HIGH));
+  BOOST_TEST(abuts(segment2, segment3, HIGH));
+  BOOST_TEST(abuts(segment3, segment4, HIGH));
+  BOOST_TEST(abuts(segment4, segment1, HIGH));
+
+  BOOST_TEST(!abuts(segment1, segment2, LOW));
+  BOOST_TEST(!abuts(segment2, segment3, LOW));
+  BOOST_TEST(!abuts(segment3, segment4, LOW));
+  BOOST_TEST(!abuts(segment4, segment1, LOW));
+
+  BOOST_TEST(abuts(segment2, segment1));
+  BOOST_TEST(abuts(segment3, segment2));
+  BOOST_TEST(abuts(segment4, segment3));
+  BOOST_TEST(abuts(segment1, segment4));
+
+  BOOST_TEST(!abuts(segment1, segment3));
+  BOOST_TEST(!abuts(segment2, segment4));
+}
+
+void segment_concept_test9()
+{
+  typedef point_data<int> point_type;
+  typedef Segment<int> segment_type;
+
+  segment_type segment1 = construct<segment_type>(
+      point_type(0, 0), point_type(2, 2));
+  segment_type segment2 = construct<segment_type>(
+      point_type(1, 1), point_type(3, 3));
+  segment_type segment3 = construct<segment_type>(
+      point_type(2, 2), point_type(-1, -1));
+  segment_type segment4 = construct<segment_type>(
+      point_type(1, 3), point_type(3, 1));
+  segment_type segment5 = construct<segment_type>(
+      point_type(2, 2), point_type(1, 3));
+
+  BOOST_TEST(intersects(segment1, segment2, false));
+  BOOST_TEST(intersects(segment1, segment2, true));
+  BOOST_TEST(intersects(segment1, segment3, false));
+  BOOST_TEST(intersects(segment1, segment3, true));
+  BOOST_TEST(intersects(segment2, segment3, false));
+  BOOST_TEST(intersects(segment2, segment3, true));
+  BOOST_TEST(intersects(segment4, segment3, false));
+  BOOST_TEST(intersects(segment4, segment3, true));
+  BOOST_TEST(intersects(segment4, segment2, false));
+  BOOST_TEST(intersects(segment4, segment2, true));
+  BOOST_TEST(!intersects(segment3, segment5, false));
+  BOOST_TEST(intersects(segment3, segment5, true));
+}
+
+void segment_concept_test10()
+{
+  typedef point_data<int> point_type;
+  typedef Segment<int> segment_type;
+
+  segment_type segment1 = construct<segment_type>(
+      point_type(0, 0), point_type(0, 2));
+  segment_type segment2 = construct<segment_type>(
+      point_type(0, 1), point_type(0, 3));
+  segment_type segment3 = construct<segment_type>(
+      point_type(0, 1), point_type(0, 2));
+  segment_type segment4 = construct<segment_type>(
+      point_type(0, 2), point_type(0, 3));
+  segment_type segment5 = construct<segment_type>(
+      point_type(0, 2), point_type(2, 2));
+  segment_type segment6 = construct<segment_type>(
+      point_type(0, 1), point_type(1, 1));
+
+  BOOST_TEST(intersects(segment1, segment1, false));
+  BOOST_TEST(intersects(segment1, segment1, true));
+  BOOST_TEST(intersects(segment1, segment2, false));
+  BOOST_TEST(intersects(segment1, segment2, true));
+  BOOST_TEST(intersects(segment1, segment3, false));
+  BOOST_TEST(intersects(segment1, segment3, true));
+  BOOST_TEST(intersects(segment2, segment3, false));
+  BOOST_TEST(intersects(segment2, segment3, true));
+  BOOST_TEST(!intersects(segment1, segment4, false));
+  BOOST_TEST(intersects(segment1, segment4, true));
+  BOOST_TEST(!intersects(segment1, segment5, false));
+  BOOST_TEST(intersects(segment1, segment5, true));
+  BOOST_TEST(intersects(segment1, segment6, false));
+  BOOST_TEST(intersects(segment1, segment6, true));
+}
+
+void segment_concept_test11()
+{
+  typedef point_data<int> point_type;
+  typedef Segment<int> segment_type;
+
+  point_type point1(1, 2);
+  point_type point2(7, 10);
+  segment_type segment1 = construct<segment_type>(point1, point2);
+
+  BOOST_TEST(euclidean_distance(segment1, point1) == 0.0);
+  BOOST_TEST(euclidean_distance(segment1, point2) == 0.0);
+  BOOST_TEST(euclidean_distance(segment1, point_type(10, 14)) == 5.0);
+  BOOST_TEST(euclidean_distance(segment1, point_type(-3, -1)) == 5.0);
+  BOOST_TEST(euclidean_distance(segment1, point_type(0, 9)) == 5.0);
+  BOOST_TEST(euclidean_distance(segment1, point_type(8, 3)) == 5.0);
+}
+
+void segment_concept_test12()
+{
+  typedef point_data<int> point_type;
+  typedef Segment<int> segment_type;
+
+  segment_type segment1 = construct<segment_type>(
+      point_type(0, 0), point_type(3, 4));
+  segment_type segment2 = construct<segment_type>(
+      point_type(2, 0), point_type(0, 2));
+  segment_type segment3 = construct<segment_type>(
+      point_type(1, -7), point_type(10, 5));
+  segment_type segment4 = construct<segment_type>(
+      point_type(7, 7), point_type(10, 11));
+
+  BOOST_TEST(euclidean_distance(segment1, segment2) == 0.0);
+  BOOST_TEST(euclidean_distance(segment1, segment3) == 5.0);
+  BOOST_TEST(euclidean_distance(segment1, segment4) == 5.0);
+}
+
+int main()
+{
+    segment_data_test();
+    segment_traits_test();
+    segment_concept_test1();
+    segment_concept_test2();
+    segment_concept_test3();
+    segment_concept_test4();
+    segment_concept_test5();
+    segment_concept_test6();
+    segment_concept_test7();
+    segment_concept_test8();
+    segment_concept_test9();
+    segment_concept_test10();
+    segment_concept_test11();
+    segment_concept_test12();
+    return boost::report_errors();
+}
diff --git a/src/boost/libs/polygon/test/polygon_set_data_test.cpp b/src/boost/libs/polygon/test/polygon_set_data_test.cpp
new file mode 100644
index 00000000..df4fa4ac
--- /dev/null
+++ b/src/boost/libs/polygon/test/polygon_set_data_test.cpp
@@ -0,0 +1,114 @@
+// Boost.Polygon library polygon_set_data_test.cpp file
+
+//          Copyright Andrii Sydorchuk 2015.
+// Distributed under 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)
+
+// See http://www.boost.org for updates, documentation, and revision history.
+
+#include <boost/core/lightweight_test.hpp>
+#include <boost/polygon/polygon.hpp>
+#include <vector>
+
+using namespace boost::polygon;
+using namespace boost::polygon::operators;
+
+void polygon_set_data_test1()
+{
+    typedef point_data<int> point_type;
+    typedef polygon_with_holes_data<int> polygon_with_holes_type;
+    typedef polygon_set_data<int> polygon_set_type;
+
+    polygon_set_type pset;
+    std::vector<point_type> outbox;
+    outbox.push_back(point_type(0, 0));
+    outbox.push_back(point_type(100, 0));
+    outbox.push_back(point_type(100, 100));
+    outbox.push_back(point_type(0, 100));
+    pset.insert_vertex_sequence(outbox.begin(), outbox.end(), COUNTERCLOCKWISE, false);
+    std::vector<point_type> inbox;
+    inbox.push_back(point_type(20, 20));
+    inbox.push_back(point_type(80, 20));
+    inbox.push_back(point_type(80, 80));
+    inbox.push_back(point_type(20, 80));
+    pset.insert_vertex_sequence(inbox.begin(), inbox.end(), COUNTERCLOCKWISE, true);
+
+    BOOST_TEST(!pset.empty());
+    BOOST_TEST(!pset.sorted());
+    BOOST_TEST(pset.dirty());
+    BOOST_TEST_EQ(8, pset.size());
+
+    std::vector<polygon_with_holes_type> vpoly;
+    pset.get(vpoly);
+    BOOST_TEST_EQ(1, vpoly.size());
+
+    polygon_with_holes_type poly = vpoly[0];
+    BOOST_TEST_EQ(5, poly.size());
+    BOOST_TEST_EQ(1, poly.size_holes());
+}
+
+void polygon_set_data_test2()
+{
+    typedef point_data<int> point_type;
+    typedef polygon_data<int> polygon_type;
+    typedef polygon_set_data<int> polygon_set_type;
+
+    std::vector<point_type> data;
+    data.push_back(point_type(2,0));
+    data.push_back(point_type(4,0));
+    data.push_back(point_type(4,3));
+    data.push_back(point_type(0,3));
+    data.push_back(point_type(0,0));
+    data.push_back(point_type(2,0));
+    data.push_back(point_type(2,1));
+    data.push_back(point_type(1,1));
+    data.push_back(point_type(1,2));
+    data.push_back(point_type(3,2));
+    data.push_back(point_type(3,1));
+    data.push_back(point_type(2,1));
+    data.push_back(point_type(2,0));
+
+    polygon_type polygon;
+    set_points(polygon, data.begin(), data.end());
+
+    polygon_set_type pset;
+    pset.insert(polygon);
+
+    std::vector<polygon_type> traps;
+    get_trapezoids(traps, pset, HORIZONTAL);
+
+    BOOST_TEST_EQ(4, traps.size());
+}
+
+void polygon_set_data_test3()
+{
+    typedef point_data<int> point_type;
+    typedef polygon_data<int> polygon_type;
+    typedef polygon_set_data<int> polygon_set_type;
+
+    std::vector<point_type> data;
+    data.push_back(point_type(0,0));
+    data.push_back(point_type(6,0));
+    data.push_back(point_type(6,4));
+    data.push_back(point_type(4,6));
+    data.push_back(point_type(0,6));
+    data.push_back(point_type(0,0));
+    data.push_back(point_type(4,4));
+    data.push_back(point_type(5,4));
+
+    polygon_type polygon(data.begin(), data.end());
+    polygon_set_type pset;
+    pset += polygon;
+
+    BOOST_TEST_EQ(32.0, area(polygon));
+    BOOST_TEST_EQ(32.0, area(polygon));
+}
+
+int main()
+{
+    polygon_set_data_test1();
+    polygon_set_data_test2();
+    polygon_set_data_test3();
+    return boost::report_errors();
+}
diff --git a/src/boost/libs/polygon/test/voronoi_builder_test.cpp b/src/boost/libs/polygon/test/voronoi_builder_test.cpp
new file mode 100644
index 00000000..192c2171
--- /dev/null
+++ b/src/boost/libs/polygon/test/voronoi_builder_test.cpp
@@ -0,0 +1,681 @@
+// Boost.Polygon library voronoi_builder_test.cpp file
+
+//          Copyright Andrii Sydorchuk 2010-2012.
+// Distributed under 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)
+
+// See http://www.boost.org for updates, documentation, and revision history.
+
+#include "voronoi_test_helper.hpp"
+#include <boost/core/lightweight_test.hpp>
+#include <boost/polygon/polygon.hpp>
+#include <boost/polygon/voronoi.hpp>
+#include <boost/random/mersenne_twister.hpp>
+#include <limits>
+#include <list>
+#include <vector>
+#include <ctime>
+
+using boost::polygon::voronoi_builder;
+using boost::polygon::voronoi_diagram;
+
+typedef voronoi_diagram<double> vd_type;
+typedef vd_type::coordinate_type coordinate_type;
+typedef vd_type::edge_type voronoi_edge_type;
+typedef vd_type::const_cell_iterator const_cell_iterator;
+typedef vd_type::const_vertex_iterator const_vertex_iterator;
+
+#define CHECK_OUTPUT_SIZE(output, cells, vertices, edges) \
+    BOOST_TEST_EQ(output.num_cells(), (std::size_t)cells); \
+    BOOST_TEST_EQ(output.num_vertices(), (std::size_t)vertices); \
+    BOOST_TEST_EQ(output.num_edges(), (std::size_t)edges)
+
+#define VERIFY_OUTPUT(output) \
+    BOOST_TEST(voronoi_test_helper::verify_output(output, \
+        voronoi_test_helper::CELL_CONVEXITY)); \
+    BOOST_TEST(voronoi_test_helper::verify_output(output, \
+        voronoi_test_helper::INCIDENT_EDGES_CCW_ORDER)); \
+    BOOST_TEST(voronoi_test_helper::verify_output(output, \
+        voronoi_test_helper::NO_HALF_EDGE_INTERSECTIONS))
+
+#define VERIFY_NO_HALF_EDGE_INTERSECTIONS(output) \
+    BOOST_TEST(voronoi_test_helper::verify_output(output, \
+        voronoi_test_helper::NO_HALF_EDGE_INTERSECTIONS))
+
+// Sites: (0, 0).
+void single_site_test()
+{
+  std::vector< point_data<int> > points;
+  points.push_back(point_data<int>(0, 0));
+  vd_type test_output;
+  construct_voronoi(points.begin(), points.end(), &test_output);
+  VERIFY_OUTPUT(test_output);
+
+  BOOST_TEST(test_output.cells().size() == 1);
+  CHECK_OUTPUT_SIZE(test_output, 1, 0, 0);
+
+  const_cell_iterator it = test_output.cells().begin();
+  BOOST_TEST(it->incident_edge() == NULL);
+}
+
+// Sites: (0, 0), (0, 1).
+void collinear_sites_test1()
+{
+  std::vector< point_data<int> > points;
+  points.push_back(point_data<int>(0, 0));
+  points.push_back(point_data<int>(0, 1));
+  vd_type test_output;
+  construct_voronoi(points.begin(), points.end(), &test_output);
+  VERIFY_OUTPUT(test_output);
+  CHECK_OUTPUT_SIZE(test_output, 2, 0, 2);
+
+  const_cell_iterator cell_it = test_output.cells().begin();
+  cell_it++;
+
+  const voronoi_edge_type* edge1_1 = cell_it->incident_edge();
+  const voronoi_edge_type* edge1_2 = edge1_1->twin();
+
+  BOOST_TEST(edge1_1->twin() == edge1_2);
+  BOOST_TEST(edge1_2->twin() == edge1_1);
+
+  BOOST_TEST(edge1_1->next() == edge1_1);
+  BOOST_TEST(edge1_1->prev() == edge1_1);
+  BOOST_TEST(edge1_1->rot_next() == edge1_2);
+  BOOST_TEST(edge1_1->rot_prev() == edge1_2);
+
+  BOOST_TEST(edge1_2->next() == edge1_2);
+  BOOST_TEST(edge1_2->prev() == edge1_2);
+  BOOST_TEST(edge1_2->rot_next() == edge1_1);
+  BOOST_TEST(edge1_2->rot_prev() == edge1_1);
+}
+
+// Sites: (0, 0), (1, 1), (2, 2).
+void collinear_sites_test2()
+{
+  std::vector< point_data<int> > points;
+  points.push_back(point_data<int>(0, 0));
+  points.push_back(point_data<int>(1, 1));
+  points.push_back(point_data<int>(2, 2));
+  vd_type test_output;
+  construct_voronoi(points.begin(), points.end(), &test_output);
+  VERIFY_OUTPUT(test_output);
+  CHECK_OUTPUT_SIZE(test_output, 3, 0, 4);
+
+  const_cell_iterator cell_it = test_output.cells().begin();
+  const voronoi_edge_type* edge1_1 = cell_it->incident_edge();
+  const voronoi_edge_type* edge1_2 = edge1_1->twin();
+  cell_it++;
+  cell_it++;
+  const voronoi_edge_type* edge2_2 = cell_it->incident_edge();
+  const voronoi_edge_type* edge2_1 = edge2_2->twin();
+
+  BOOST_TEST(edge1_1->twin() == edge1_2 && edge1_2->twin() == edge1_1);
+  BOOST_TEST(edge2_1->twin() == edge2_2 && edge2_2->twin() == edge2_1);
+
+  BOOST_TEST(edge1_1->next() == edge1_1 && edge1_1->prev() == edge1_1);
+  BOOST_TEST(edge1_2->next() == edge2_1 && edge1_2->prev() == edge2_1);
+  BOOST_TEST(edge2_1->next() == edge1_2 && edge2_1->prev() == edge1_2);
+  BOOST_TEST(edge2_2->next() == edge2_2 && edge2_2->prev() == edge2_2);
+
+  BOOST_TEST(edge1_1->rot_next() == edge1_2 && edge1_1->rot_prev() == edge2_1);
+  BOOST_TEST(edge1_2->rot_next() == edge2_2 && edge1_2->rot_prev() == edge1_1);
+  BOOST_TEST(edge2_1->rot_next() == edge1_1 && edge2_1->rot_prev() == edge2_2);
+  BOOST_TEST(edge2_2->rot_next() == edge2_1 && edge2_2->rot_prev() == edge1_2);
+
+  BOOST_TEST(edge1_2->next() == edge2_1 && edge1_2->prev() == edge2_1);
+  BOOST_TEST(edge2_1->next() == edge1_2 && edge2_1->prev() == edge1_2);
+}
+
+// Sites: (0, 0), (0, 4), (2, 1).
+void triangle_test1()
+{
+  point_data<int> point1(0, 0);
+  point_data<int> point2(0, 4);
+  point_data<int> point3(2, 1);
+  std::vector< point_data<int> > points;
+  points.push_back(point1);
+  points.push_back(point2);
+  points.push_back(point3);
+  vd_type test_output;
+  construct_voronoi(points.begin(), points.end(), &test_output);
+  VERIFY_OUTPUT(test_output);
+  CHECK_OUTPUT_SIZE(test_output, 3, 1, 6);
+
+  const_vertex_iterator it = test_output.vertices().begin();
+  BOOST_TEST_EQ(it->x(), 0.25);
+  BOOST_TEST_EQ(it->y(), 2.0);
+
+  const voronoi_edge_type* edge1_1 = it->incident_edge();
+  const voronoi_edge_type* edge1_2 = edge1_1->twin();
+  BOOST_TEST(edge1_1->cell()->source_index() == 1);
+  BOOST_TEST(edge1_2->cell()->source_index() == 2);
+
+  const voronoi_edge_type* edge2_1 = edge1_1->rot_prev();
+  const voronoi_edge_type* edge2_2 = edge2_1->twin();
+  BOOST_TEST(edge2_1->cell()->source_index() == 2);
+  BOOST_TEST(edge2_2->cell()->source_index() == 0);
+
+  const voronoi_edge_type* edge3_1 = edge2_1->rot_prev();
+  const voronoi_edge_type* edge3_2 = edge3_1->twin();
+  BOOST_TEST(edge3_1->cell()->source_index() == 0);
+  BOOST_TEST(edge3_2->cell()->source_index() == 1);
+
+  BOOST_TEST(edge1_2->twin() == edge1_1);
+  BOOST_TEST(edge2_2->twin() == edge2_1);
+  BOOST_TEST(edge3_2->twin() == edge3_1);
+
+  BOOST_TEST(edge1_1->prev() == edge3_2 && edge1_1->next() == edge3_2);
+  BOOST_TEST(edge2_1->prev() == edge1_2 && edge2_1->next() == edge1_2);
+  BOOST_TEST(edge3_1->prev() == edge2_2 && edge3_1->next() == edge2_2);
+
+  BOOST_TEST(edge1_2->next() == edge2_1 && edge1_2->prev() == edge2_1);
+  BOOST_TEST(edge2_2->next() == edge3_1 && edge2_2->prev() == edge3_1);
+  BOOST_TEST(edge3_2->next() == edge1_1 && edge3_2->prev() == edge1_1);
+
+  BOOST_TEST(edge1_1->rot_next() == edge3_1);
+  BOOST_TEST(edge3_1->rot_next() == edge2_1);
+  BOOST_TEST(edge2_1->rot_next() == edge1_1);
+
+  BOOST_TEST(edge1_2->rot_next() == edge2_2);
+  BOOST_TEST(edge2_2->rot_next() == edge3_2);
+  BOOST_TEST(edge3_2->rot_next() == edge1_2);
+}
+
+// Sites: (0, 1), (2, 0), (2, 4).
+void triangle_test2()
+{
+  point_data<int> point1(0, 1);
+  point_data<int> point2(2, 0);
+  point_data<int> point3(2, 4);
+  std::vector< point_data<int> > points;
+  points.push_back(point1);
+  points.push_back(point2);
+  points.push_back(point3);
+  vd_type test_output;
+  construct_voronoi(points.begin(), points.end(), &test_output);
+  VERIFY_OUTPUT(test_output);
+  CHECK_OUTPUT_SIZE(test_output, 3, 1, 6);
+
+  const_vertex_iterator it = test_output.vertices().begin();
+  BOOST_TEST_EQ(it->x(), 1.75);
+  BOOST_TEST_EQ(it->y(), 2.0);
+
+  const voronoi_edge_type* edge1_1 = it->incident_edge();
+  const voronoi_edge_type* edge1_2 = edge1_1->twin();
+  BOOST_TEST(edge1_1->cell()->source_index() == 2);
+  BOOST_TEST(edge1_2->cell()->source_index() == 1);
+
+  const voronoi_edge_type* edge2_1 = edge1_1->rot_prev();
+  const voronoi_edge_type* edge2_2 = edge2_1->twin();
+  BOOST_TEST(edge2_1->cell()->source_index() == 1);
+  BOOST_TEST(edge2_2->cell()->source_index() == 0);
+
+  const voronoi_edge_type* edge3_1 = edge2_1->rot_prev();
+  const voronoi_edge_type* edge3_2 = edge3_1->twin();
+  BOOST_TEST(edge3_1->cell()->source_index() == 0);
+  BOOST_TEST(edge3_2->cell()->source_index() == 2);
+
+  BOOST_TEST(edge1_2->twin() == edge1_1);
+  BOOST_TEST(edge2_2->twin() == edge2_1);
+  BOOST_TEST(edge3_2->twin() == edge3_1);
+
+  BOOST_TEST(edge1_1->prev() == edge3_2 && edge1_1->next() == edge3_2);
+  BOOST_TEST(edge2_1->prev() == edge1_2 && edge2_1->next() == edge1_2);
+  BOOST_TEST(edge3_1->prev() == edge2_2 && edge3_1->next() == edge2_2);
+
+  BOOST_TEST(edge1_2->next() == edge2_1 && edge1_2->prev() == edge2_1);
+  BOOST_TEST(edge2_2->next() == edge3_1 && edge2_2->prev() == edge3_1);
+  BOOST_TEST(edge3_2->next() == edge1_1 && edge3_2->prev() == edge1_1);
+
+  BOOST_TEST(edge1_1->rot_next() == edge3_1);
+  BOOST_TEST(edge3_1->rot_next() == edge2_1);
+  BOOST_TEST(edge2_1->rot_next() == edge1_1);
+
+  BOOST_TEST(edge1_2->rot_next() == edge2_2);
+  BOOST_TEST(edge2_2->rot_next() == edge3_2);
+  BOOST_TEST(edge3_2->rot_next() == edge1_2);
+}
+
+// Sites: (0, 0), (0, 1), (1, 0), (1, 1).
+void square_test1()
+{
+  point_data<int> point1(0, 0);
+  point_data<int> point2(0, 1);
+  point_data<int> point3(1, 0);
+  point_data<int> point4(1, 1);
+  std::vector< point_data<int> > points;
+  points.push_back(point1);
+  points.push_back(point2);
+  points.push_back(point3);
+  points.push_back(point4);
+  vd_type test_output;
+  construct_voronoi(points.begin(), points.end(), &test_output);
+  VERIFY_OUTPUT(test_output);
+  CHECK_OUTPUT_SIZE(test_output, 4, 1, 8);
+
+  // Check voronoi vertex.
+  const_vertex_iterator it = test_output.vertices().begin();
+  BOOST_TEST_EQ(it->x(), 0.5);
+  BOOST_TEST_EQ(it->y(), 0.5);
+
+  // Check voronoi edges.
+  const voronoi_edge_type* edge1_1 = it->incident_edge();
+  const voronoi_edge_type* edge1_2 = edge1_1->twin();
+  BOOST_TEST(edge1_1->cell()->source_index() == 3);
+  BOOST_TEST(edge1_2->cell()->source_index() == 2);
+
+  const voronoi_edge_type* edge2_1 = edge1_1->rot_prev();
+  const voronoi_edge_type* edge2_2 = edge2_1->twin();
+  BOOST_TEST(edge2_1->cell()->source_index() == 2);
+  BOOST_TEST(edge2_2->cell()->source_index() == 0);
+
+  const voronoi_edge_type* edge3_1 = edge2_1->rot_prev();
+  const voronoi_edge_type* edge3_2 = edge3_1->twin();
+  BOOST_TEST(edge3_1->cell()->source_index() == 0);
+  BOOST_TEST(edge3_2->cell()->source_index() == 1);
+
+  const voronoi_edge_type* edge4_1 = edge3_1->rot_prev();
+  const voronoi_edge_type* edge4_2 = edge4_1->twin();
+  BOOST_TEST(edge4_1->cell()->source_index() == 1);
+  BOOST_TEST(edge4_2->cell()->source_index() == 3);
+
+  BOOST_TEST(edge1_2->twin() == edge1_1);
+  BOOST_TEST(edge2_2->twin() == edge2_1);
+  BOOST_TEST(edge3_2->twin() == edge3_1);
+  BOOST_TEST(edge4_2->twin() == edge4_1);
+
+  BOOST_TEST(edge1_1->prev() == edge4_2 && edge1_1->next() == edge4_2);
+  BOOST_TEST(edge2_1->prev() == edge1_2 && edge2_1->next() == edge1_2);
+  BOOST_TEST(edge3_1->prev() == edge2_2 && edge3_1->next() == edge2_2);
+  BOOST_TEST(edge4_1->prev() == edge3_2 && edge4_1->next() == edge3_2);
+
+  BOOST_TEST(edge1_2->next() == edge2_1 && edge1_2->prev() == edge2_1);
+  BOOST_TEST(edge2_2->next() == edge3_1 && edge2_2->prev() == edge3_1);
+  BOOST_TEST(edge3_2->next() == edge4_1 && edge3_2->prev() == edge4_1);
+  BOOST_TEST(edge4_2->next() == edge1_1 && edge4_2->prev() == edge1_1);
+
+  BOOST_TEST(edge1_1->rot_next() == edge4_1);
+  BOOST_TEST(edge4_1->rot_next() == edge3_1);
+  BOOST_TEST(edge3_1->rot_next() == edge2_1);
+  BOOST_TEST(edge2_1->rot_next() == edge1_1);
+
+  BOOST_TEST(edge1_2->rot_next() == edge2_2);
+  BOOST_TEST(edge2_2->rot_next() == edge3_2);
+  BOOST_TEST(edge3_2->rot_next() == edge4_2);
+  BOOST_TEST(edge4_2->rot_next() == edge1_2);
+}
+
+#ifdef NDEBUG
+void grid_test()
+{
+  vd_type test_output_small, test_output_large;
+  std::vector< point_data<int> > point_vec_small, point_vec_large;
+  int grid_size[] = {10, 33, 101};
+  int max_value[] = {10, 33, 101};
+  int array_length = sizeof(grid_size) / sizeof(int);
+  for (int k = 0; k < array_length; k++) {
+    test_output_small.clear();
+    test_output_large.clear();
+    point_vec_small.clear();
+    point_vec_large.clear();
+    int koef = (std::numeric_limits<int>::max)() / max_value[k];
+    for (int i = 0; i < grid_size[k]; i++) {
+      for (int j = 0; j < grid_size[k]; j++) {
+        point_vec_small.push_back(point_data<int>(i, j));
+        point_vec_large.push_back(point_data<int>(koef * i, koef * j));
+      }
+    }
+    construct_voronoi(point_vec_small.begin(), point_vec_small.end(), &test_output_small);
+    construct_voronoi(point_vec_large.begin(), point_vec_large.end(), &test_output_large);
+    VERIFY_OUTPUT(test_output_small);
+    VERIFY_OUTPUT(test_output_large);
+    unsigned int num_cells = grid_size[k] * grid_size[k];
+    unsigned int num_vertices = num_cells - 2 * grid_size[k] + 1;
+    unsigned int num_edges = 4 * num_cells - 4 * grid_size[k];
+    CHECK_OUTPUT_SIZE(test_output_small, num_cells, num_vertices, num_edges);
+    CHECK_OUTPUT_SIZE(test_output_large, num_cells, num_vertices, num_edges);
+  }
+}
+#endif
+
+#ifdef NDEBUG
+void random_test()
+{
+  boost::mt19937 gen(static_cast<unsigned int>(time(NULL)));
+  vd_type test_output_small, test_output_large;
+  std::vector< point_data<int> > point_vec_small, point_vec_large;
+  int num_points[] = {10, 100, 1000, 10000};
+  int num_runs[] = {1000, 100, 10, 1};
+  int mod_koef[] = {10, 100, 100, 1000};
+  int max_value[] = {5, 50, 50, 5000};
+  int array_length = sizeof(num_points) / sizeof(int);
+  for (int k = 0; k < array_length; k++) {
+    int koef = (std::numeric_limits<int>::max)() / max_value[k];
+    for (int i = 0; i < num_runs[k]; i++) {
+      test_output_small.clear();
+      test_output_large.clear();
+      point_vec_small.clear();
+      point_vec_large.clear();
+      for (int j = 0; j < num_points[k]; j++) {
+        int x = gen() % mod_koef[k] - mod_koef[k] / 2;
+        int y = gen() % mod_koef[k] - mod_koef[k] / 2;
+        point_vec_small.push_back(point_data<int>(x, y));
+        point_vec_large.push_back(point_data<int>(koef * x, koef * y));
+      }
+      construct_voronoi(point_vec_small.begin(), point_vec_small.end(), &test_output_small);
+      construct_voronoi(point_vec_large.begin(), point_vec_large.end(), &test_output_large);
+      VERIFY_OUTPUT(test_output_small);
+      VERIFY_OUTPUT(test_output_large);
+      BOOST_TEST_EQ(test_output_small.num_cells(), test_output_large.num_cells());
+      BOOST_TEST_EQ(test_output_small.num_vertices(), test_output_large.num_vertices());
+      BOOST_TEST_EQ(test_output_small.num_edges(), test_output_large.num_edges());
+    }
+  }
+}
+#endif
+
+void segment_sites_test1()
+{
+  vd_type test_output;
+  std::vector< segment_data<int> > segments;
+  point_data<int> point1(0, 0);
+  point_data<int> point2(1, 1);
+  segments.push_back(segment_data<int>(point1, point2));
+  construct_voronoi(segments.begin(), segments.end(), &test_output);
+  CHECK_OUTPUT_SIZE(test_output, 3, 0, 4);
+  VERIFY_NO_HALF_EDGE_INTERSECTIONS(test_output);
+}
+
+void segment_sites_test2()
+{
+  vd_type test_output;
+  std::vector< point_data<int> > points;
+  std::vector< segment_data<int> > segments;
+  point_data<int> point1(0, 0);
+  point_data<int> point2(4, 4);
+  point_data<int> point3(3, 1);
+  point_data<int> point4(1, 3);
+  segments.push_back(segment_data<int>(point1, point2));
+  points.push_back(point3);
+  points.push_back(point4);
+  construct_voronoi(points.begin(), points.end(), segments.begin(), segments.end(), &test_output);
+  CHECK_OUTPUT_SIZE(test_output, 5, 4, 16);
+  VERIFY_NO_HALF_EDGE_INTERSECTIONS(test_output);
+}
+
+void segment_sites_test3()
+{
+  vd_type test_output;
+  std::vector< point_data<int> > points;
+  std::vector< segment_data<int> > segments;
+  point_data<int> point1(4, 0);
+  point_data<int> point2(0, 4);
+  point_data<int> point3(3, 3);
+  point_data<int> point4(1, 1);
+  segments.push_back(segment_data<int>(point1, point2));
+  points.push_back(point3);
+  points.push_back(point4);
+  construct_voronoi(points.begin(), points.end(), segments.begin(), segments.end(), &test_output);
+  CHECK_OUTPUT_SIZE(test_output, 5, 4, 16);
+  VERIFY_NO_HALF_EDGE_INTERSECTIONS(test_output);
+}
+
+void segment_sites_test4()
+{
+  vd_type test_output;
+  std::vector< point_data<int> > points;
+  std::vector< segment_data<int> > segments;
+  point_data<int> point1(4, 0);
+  point_data<int> point2(0, 4);
+  point_data<int> point3(3, 2);
+  point_data<int> point4(2, 3);
+  segments.push_back(segment_data<int>(point1, point2));
+  points.push_back(point3);
+  points.push_back(point4);
+  construct_voronoi(points.begin(), points.end(), segments.begin(), segments.end(), &test_output);
+  CHECK_OUTPUT_SIZE(test_output, 5, 3, 14);
+  VERIFY_NO_HALF_EDGE_INTERSECTIONS(test_output);
+}
+
+void segment_site_test5()
+{
+  vd_type test_output;
+  std::vector< point_data<int> > points;
+  std::vector< segment_data<int> > segments;
+  point_data<int> point1(0, 0);
+  point_data<int> point2(0, 8);
+  point_data<int> point3(-2, -2);
+  point_data<int> point4(-2, 4);
+  point_data<int> point5(-2, 10);
+  segments.push_back(segment_data<int>(point1, point2));
+  points.push_back(point3);
+  points.push_back(point4);
+  points.push_back(point5);
+  construct_voronoi(points.begin(), points.end(), segments.begin(), segments.end(), &test_output);
+  CHECK_OUTPUT_SIZE(test_output, 6, 4, 18);
+  VERIFY_NO_HALF_EDGE_INTERSECTIONS(test_output);
+}
+
+void segment_site_test6()
+{
+  vd_type test_output;
+  std::vector< point_data<int> > points;
+  std::vector< segment_data<int> > segments;
+  point_data<int> point1(-1, 1);
+  point_data<int> point2(1, 0);
+  point_data<int> point3(1, 2);
+  segments.push_back(segment_data<int>(point2, point3));
+  points.push_back(point1);
+  construct_voronoi(points.begin(), points.end(), segments.begin(), segments.end(), &test_output);
+  CHECK_OUTPUT_SIZE(test_output, 4, 2, 10);
+  VERIFY_NO_HALF_EDGE_INTERSECTIONS(test_output);
+}
+
+void segment_site_test7()
+{
+  vd_type test_output;
+  std::vector< segment_data<int> > segments;
+  point_data<int> point1(0, 0);
+  point_data<int> point2(4, 0);
+  point_data<int> point3(0, 4);
+  point_data<int> point4(4, 4);
+  segments.push_back(segment_data<int>(point1, point2));
+  segments.push_back(segment_data<int>(point2, point3));
+  segments.push_back(segment_data<int>(point3, point4));
+  construct_voronoi(segments.begin(), segments.end(), &test_output);
+  CHECK_OUTPUT_SIZE(test_output, 7, 6, 24);
+  VERIFY_NO_HALF_EDGE_INTERSECTIONS(test_output);
+}
+
+void segment_site_test8()
+{
+  vd_type test_output;
+  std::vector< segment_data<int> > segments;
+  point_data<int> point1(0, 0);
+  point_data<int> point2(4, 0);
+  point_data<int> point3(4, 4);
+  point_data<int> point4(0, 4);
+  segments.push_back(segment_data<int>(point1, point2));
+  segments.push_back(segment_data<int>(point2, point3));
+  segments.push_back(segment_data<int>(point3, point4));
+  segments.push_back(segment_data<int>(point4, point1));
+  construct_voronoi(segments.begin(), segments.end(), &test_output);
+  CHECK_OUTPUT_SIZE(test_output, 8, 5, 24);
+  VERIFY_NO_HALF_EDGE_INTERSECTIONS(test_output);
+}
+
+void segment_site_test9()
+{
+  vd_type test_output;
+  std::vector< segment_data<int> > segments;
+  point_data<int> point1(0, 0);
+  point_data<int> point2(2, 0);
+  point_data<int> point3(4, 0);
+  segments.push_back(segment_data<int>(point1, point2));
+  segments.push_back(segment_data<int>(point2, point3));
+  construct_voronoi(segments.begin(), segments.end(), &test_output);
+  CHECK_OUTPUT_SIZE(test_output, 5, 0, 8);
+  VERIFY_NO_HALF_EDGE_INTERSECTIONS(test_output);
+}
+
+#ifdef NDEBUG
+void segment_grid_test()
+{
+  vd_type test_output_small, test_output_large;
+  std::vector< segment_data<int> > segments_small, segments_large;
+  int grid_size[] = {10, 27, 53};
+  int max_value[] = {100, 330, 1000};
+  int array_length = sizeof(grid_size) / sizeof(int);
+  for (int k = 0; k < array_length; k++) {
+    test_output_small.clear();
+    test_output_large.clear();
+    segments_small.clear();
+    segments_large.clear();
+    int cur_sz = grid_size[k];
+    int koef = (std::numeric_limits<int>::max)() / max_value[k];
+    for (int i = 0; i < cur_sz + 1; i++)
+      for (int j = 0; j < cur_sz; j++) {
+        point_data<int> point1_1(10 * i, 10 * j);
+        point_data<int> point1_2(koef * 10 * i, koef * 10 * j);
+        point_data<int> point2_1(10 * i, 10 * j + 10);
+        point_data<int> point2_2(koef * 10 * i, koef * (10 * j + 10));
+        segments_small.push_back(segment_data<int>(point1_1, point2_1));
+        segments_large.push_back(segment_data<int>(point1_2, point2_2));
+        point_data<int> point3_1(10 * j, 10 * i);
+        point_data<int> point3_2(koef * 10 * j, koef * 10 * i);
+        point_data<int> point4_1(10 * j + 10, 10 * i);
+        point_data<int> point4_2(koef * (10 * j + 10), koef * 10 * i);
+        segments_small.push_back(segment_data<int>(point3_1, point4_1));
+        segments_large.push_back(segment_data<int>(point3_2, point4_2));
+      }
+    construct_voronoi(segments_small.begin(), segments_small.end(), &test_output_small);
+    construct_voronoi(segments_large.begin(), segments_large.end(), &test_output_large);
+    VERIFY_NO_HALF_EDGE_INTERSECTIONS(test_output_small);
+    VERIFY_NO_HALF_EDGE_INTERSECTIONS(test_output_large);
+    BOOST_TEST_EQ(test_output_small.num_cells(), test_output_large.num_cells());
+    BOOST_TEST_EQ(test_output_small.num_vertices(), test_output_large.num_vertices());
+    BOOST_TEST_EQ(test_output_small.num_edges(), test_output_large.num_edges());
+  }
+}
+#endif
+
+#ifdef NDEBUG
+void segment_random_test1()
+{
+  boost::mt19937 gen(static_cast<unsigned int>(time(NULL)));
+  vd_type test_output;
+  std::vector< point_data<int> > points;
+  std::vector< segment_data<int> > segments;
+  int num_runs = 1000;
+  int num_segments = 10;
+  points.push_back(point_data<int>(-100, -100));
+  points.push_back(point_data<int>(-100, 100));
+  points.push_back(point_data<int>(100, -100));
+  points.push_back(point_data<int>(100, 100));
+  for (int i = 0; i < num_runs; i++) {
+    test_output.clear();
+    segments.clear();
+    for (int j = 0; j < num_segments; j++) {
+      int x1 = 0, y1 = 0, x2 = 0, y2 = 0;
+      while (x1 == x2 && y1 == y2) {
+        x1 = (gen() % 100) - 50;
+        y1 = (gen() % 100) - 50;
+        x2 = (gen() % 100) - 50;
+        y2 = (gen() % 100) - 50;
+      }
+      point_data<int> point1(x1, y1);
+      point_data<int> point2(x2, y2);
+      segments.push_back(segment_data<int>(point1, point2));
+    }
+    voronoi_test_helper::clean_segment_set(segments);
+    construct_voronoi(points.begin(), points.end(), segments.begin(), segments.end(), &test_output);
+    VERIFY_NO_HALF_EDGE_INTERSECTIONS(test_output);
+  }
+}
+#endif
+
+#ifdef NDEBUG
+void segment_random_test2()
+{
+  boost::mt19937 gen(static_cast<unsigned int>(time(NULL)));
+  vd_type test_output_small, test_output_large;
+  std::vector< segment_data<int> > segments_small, segments_large;
+  int num_segments[] = {5, 25, 125, 625};
+  int num_runs[] = {1000, 100, 10, 1};
+  int mod_koef1[] = {10, 100, 200, 300};
+  int mod_koef2[] = {10, 20, 50, 100};
+  int max_value[] = {10, 60, 125, 200};
+  int array_length = sizeof(num_segments) / sizeof(int);
+  for (int k = 0; k < array_length; k++) {
+    int koef = (std::numeric_limits<int>::max)() / max_value[k];
+    for (int i = 0; i < num_runs[k]; i++) {
+      test_output_small.clear();
+      test_output_large.clear();
+      segments_small.clear();
+      segments_large.clear();
+      for (int j = 0; j < num_segments[k]; j++) {
+        int x1 = (gen() % mod_koef1[k]) - mod_koef1[k] / 2;
+        int y1 = (gen() % mod_koef1[k]) - mod_koef1[k] / 2;
+        int dx = 0, dy = 0;
+        while (dx == 0 && dy == 0) {
+          dx = (gen() % mod_koef2[k]) - mod_koef2[k] / 2;
+          dy = (gen() % mod_koef2[k]) - mod_koef2[k] / 2;
+        }
+        int x2 = x1 + dx;
+        int y2 = y1 + dy;
+        point_data<int> point1_small(x1, y1);
+        point_data<int> point2_small(x2, y2);
+        segments_small.push_back(segment_data<int>(point1_small, point2_small));
+      }
+      voronoi_test_helper::clean_segment_set(segments_small);
+      for (std::vector< segment_data<int> >::iterator it = segments_small.begin();
+           it != segments_small.end(); ++it) {
+        int x1 = it->low().x() * koef;
+        int y1 = it->low().y() * koef;
+        int x2 = it->high().x() * koef;
+        int y2 = it->high().y() * koef;
+        point_data<int> point1_large(x1, y1);
+        point_data<int> point2_large(x2, y2);
+        segments_large.push_back(segment_data<int>(point1_large, point2_large));
+      }
+      construct_voronoi(segments_small.begin(), segments_small.end(), &test_output_small);
+      construct_voronoi(segments_large.begin(), segments_large.end(), &test_output_large);
+      VERIFY_NO_HALF_EDGE_INTERSECTIONS(test_output_small);
+      VERIFY_NO_HALF_EDGE_INTERSECTIONS(test_output_large);
+      BOOST_TEST_EQ(test_output_small.num_cells(), test_output_large.num_cells());
+      BOOST_TEST_EQ(test_output_small.num_vertices(), test_output_large.num_vertices());
+      BOOST_TEST_EQ(test_output_small.num_edges(), test_output_large.num_edges());
+    }
+  }
+}
+#endif
+
+int main()
+{
+    single_site_test();
+    collinear_sites_test1();
+    collinear_sites_test2();
+    triangle_test1();
+    triangle_test2();
+    square_test1();
+#ifdef NDEBUG
+    grid_test();
+    random_test();
+#endif
+    segment_sites_test1();
+    segment_sites_test2();
+    segment_sites_test3();
+    segment_sites_test4();
+    segment_site_test5();
+    segment_site_test6();
+    segment_site_test7();
+    segment_site_test8();
+    segment_site_test9();
+#ifdef NDEBUG
+    segment_grid_test();
+    segment_random_test1();
+    segment_random_test2();
+#endif
+    return boost::report_errors();
+}
diff --git a/src/boost/libs/polygon/test/voronoi_ctypes_test.cpp b/src/boost/libs/polygon/test/voronoi_ctypes_test.cpp
new file mode 100644
index 00000000..6087e724
--- /dev/null
+++ b/src/boost/libs/polygon/test/voronoi_ctypes_test.cpp
@@ -0,0 +1,334 @@
+// Boost.Polygon library voronoi_ctypes_test.cpp file
+
+//          Copyright Andrii Sydorchuk 2010-2012.
+// Distributed under 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)
+
+// See http://www.boost.org for updates, documentation, and revision history.
+
+#include <boost/core/lightweight_test.hpp>
+#include <boost/polygon/detail/voronoi_ctypes.hpp>
+#include <boost/random/mersenne_twister.hpp>
+#include <vector>
+#include <ctime>
+
+using namespace boost::polygon::detail;
+
+type_converter_fpt to_fpt;
+
+void ulp_comparison_test1()
+{
+  ulp_comparison<double> ulp_cmp;
+  uint64 a = 22;
+  uint64 b = 27;
+  fpt64 da, db;
+  std::memcpy(&da, &a, sizeof(uint64));
+  std::memcpy(&db, &b, sizeof(uint64));
+  BOOST_TEST_EQ(ulp_cmp(da, db, 1), ulp_cmp.LESS);
+  BOOST_TEST_EQ(ulp_cmp(db, da, 1), ulp_cmp.MORE);
+  BOOST_TEST_EQ(ulp_cmp(da, db, 4), ulp_cmp.LESS);
+  BOOST_TEST_EQ(ulp_cmp(da, db, 5), ulp_cmp.EQUAL);
+  BOOST_TEST_EQ(ulp_cmp(da, db, 6), ulp_cmp.EQUAL);
+}
+
+void ulp_comparison_test2()
+{
+  ulp_comparison<fpt64> ulp_cmp;
+  uint64 a = 0ULL;
+  uint64 b = 0x8000000000000002ULL;
+  fpt64 da, db;
+  std::memcpy(&da, &a, sizeof(uint64));
+  std::memcpy(&db, &b, sizeof(uint64));
+  BOOST_TEST_EQ(ulp_cmp(da, db, 1), ulp_cmp.MORE);
+  BOOST_TEST_EQ(ulp_cmp(db, da, 1), ulp_cmp.LESS);
+  BOOST_TEST_EQ(ulp_cmp(da, db, 2), ulp_cmp.EQUAL);
+  BOOST_TEST_EQ(ulp_cmp(da, db, 3), ulp_cmp.EQUAL);
+}
+
+void extended_exponent_fpt_test1()
+{
+  boost::mt19937_64 gen(static_cast<uint32>(time(NULL)));
+  fpt64 b = 0.0;
+  efpt64 eeb(b);
+  for (int i = 0; i < 1000; ++i) {
+    fpt64 a = to_fpt(static_cast<int64>(gen()));
+    efpt64 eea(a);
+    efpt64 neg = -eea;
+    efpt64 sum = eea + eeb;
+    efpt64 dif = eea - eeb;
+    efpt64 mul = eea * eeb;
+    BOOST_TEST_EQ(to_fpt(neg), -a);
+    BOOST_TEST_EQ(to_fpt(sum), a + b);
+    BOOST_TEST_EQ(to_fpt(dif), a - b);
+    BOOST_TEST_EQ(to_fpt(mul), a * b);
+  }
+}
+
+void extended_exponent_fpt_test2()
+{
+  boost::mt19937_64 gen(static_cast<uint32>(time(NULL)));
+  fpt64 a = 0.0;
+  efpt64 eea(a);
+  for (int i = 0; i < 1000; ++i) {
+    fpt64 b = to_fpt(static_cast<int64>(gen()));
+    if (b == 0.0)
+      continue;
+    efpt64 eeb(b);
+    efpt64 neg = -eea;
+    efpt64 sum = eea + eeb;
+    efpt64 dif = eea - eeb;
+    efpt64 mul = eea * eeb;
+    efpt64 div = eea / eeb;
+    BOOST_TEST_EQ(to_fpt(neg), -a);
+    BOOST_TEST_EQ(to_fpt(sum), a + b);
+    BOOST_TEST_EQ(to_fpt(dif), a - b);
+    BOOST_TEST_EQ(to_fpt(mul), a * b);
+    BOOST_TEST_EQ(to_fpt(div), a / b);
+  }
+}
+
+void extended_exponent_fpt_test3()
+{
+  boost::mt19937_64 gen(static_cast<uint32>(time(NULL)));
+  for (int i = 0; i < 1000; ++i) {
+    fpt64 a = to_fpt(static_cast<int64>(gen()));
+    fpt64 b = to_fpt(static_cast<int64>(gen()));
+    if (b == 0.0)
+      continue;
+    efpt64 eea(a);
+    efpt64 eeb(b);
+    efpt64 neg = -eea;
+    efpt64 sum = eea + eeb;
+    efpt64 dif = eea - eeb;
+    efpt64 mul = eea * eeb;
+    efpt64 div = eea / eeb;
+    BOOST_TEST_EQ(to_fpt(neg), -a);
+    BOOST_TEST_EQ(to_fpt(sum), a + b);
+    BOOST_TEST_EQ(to_fpt(dif), a - b);
+    BOOST_TEST_EQ(to_fpt(mul), a * b);
+    BOOST_TEST_EQ(to_fpt(div), a / b);
+  }
+}
+
+void extended_exponent_fpt_test4()
+{
+  for (int exp = 0; exp < 64; ++exp)
+  for (int i = 1; i < 100; ++i) {
+    fpt64 a = i;
+    fpt64 b = to_fpt(1LL << exp);
+    efpt64 eea(a);
+    efpt64 eeb(b);
+    efpt64 neg = -eea;
+    efpt64 sum = eea + eeb;
+    efpt64 dif = eea - eeb;
+    efpt64 mul = eea * eeb;
+    efpt64 div = eea / eeb;
+    BOOST_TEST_EQ(to_fpt(neg), -a);
+    BOOST_TEST_EQ(to_fpt(sum), a + b);
+    BOOST_TEST_EQ(to_fpt(dif), a - b);
+    BOOST_TEST_EQ(to_fpt(mul), a * b);
+    BOOST_TEST_EQ(to_fpt(div), a / b);
+  }
+}
+
+void extended_exponent_fpt_test5()
+{
+  for (int i = 0; i < 100; ++i) {
+    efpt64 a(to_fpt(i * i));
+    efpt64 b = a.sqrt();
+    BOOST_TEST_EQ(to_fpt(b), to_fpt(i));
+  }
+}
+
+void extended_exponent_fpt_test6()
+{
+  for (int i = -10; i <= 10; ++i) {
+    efpt64 a(to_fpt(i));
+    BOOST_TEST_EQ(is_pos(a), i > 0);
+    BOOST_TEST_EQ(is_neg(a), i < 0);
+    BOOST_TEST_EQ(is_zero(a), !i);
+  }
+}
+
+void extended_int_test1()
+{
+  typedef extended_int<1> eint32;
+  eint32 e1(0), e2(32), e3(-32);
+  BOOST_TEST_EQ(e1.count(), 0);
+  BOOST_TEST_EQ(e1.size(), 0U);
+  BOOST_TEST_EQ(e2.count(), 1);
+  BOOST_TEST_EQ(e2.chunks()[0], 32U);
+  BOOST_TEST_EQ(e2.size(), 1U);
+  BOOST_TEST_EQ(e3.count(), -1);
+  BOOST_TEST_EQ(e3.chunks()[0], 32U);
+  BOOST_TEST_EQ(e3.size(), 1U);
+}
+
+void extended_int_test2()
+{
+  typedef extended_int<2> eint64;
+  int64 val64 = 0x7fffffffffffffffLL;
+  eint64 e1(0), e2(32), e3(-32), e4(val64), e5(-val64);
+  BOOST_TEST_EQ(e1.count(), 0);
+  BOOST_TEST_EQ(e2.count(), 1);
+  BOOST_TEST_EQ(e2.chunks()[0], 32U);
+  BOOST_TEST_EQ(e3.count(), -1);
+  BOOST_TEST_EQ(e3.chunks()[0], 32U);
+  BOOST_TEST_EQ(e4.count(), 2);
+  BOOST_TEST_EQ(e4.chunks()[0], 0xffffffff);
+  BOOST_TEST_EQ(e4.chunks()[1], val64 >> 32);
+  BOOST_TEST_EQ(e5.count(), -2);
+  BOOST_TEST_EQ(e5.chunks()[0], 0xffffffff);
+  BOOST_TEST_EQ(e5.chunks()[1], val64 >> 32);
+}
+
+void extended_int_test3()
+{
+  typedef extended_int<2> eint64;
+  std::vector<uint32> chunks;
+  chunks.push_back(1);
+  chunks.push_back(2);
+  eint64 e1(chunks, true), e2(chunks, false);
+  BOOST_TEST_EQ(e1.count(), 2);
+  BOOST_TEST_EQ(e1.chunks()[0], 2U);
+  BOOST_TEST_EQ(e1.chunks()[1], 1U);
+  BOOST_TEST_EQ(e2.count(), -2);
+  BOOST_TEST_EQ(e2.chunks()[0], 2U);
+  BOOST_TEST_EQ(e2.chunks()[1], 1U);
+}
+
+void extended_int_test4()
+{
+  typedef extended_int<2> eint64;
+  std::vector<uint32> chunks;
+  chunks.push_back(1);
+  chunks.push_back(2);
+  eint64 e1(chunks, true), e2(chunks, false);
+  BOOST_TEST_EQ(e1 == e2, false);
+  BOOST_TEST_EQ(e1 == -e2, true);
+  BOOST_TEST_EQ(e1 != e2, true);
+  BOOST_TEST_EQ(e1 != -e2, false);
+  BOOST_TEST_EQ(e1 < e2, false);
+  BOOST_TEST_EQ(e1 < -e2, false);
+  BOOST_TEST_EQ(e1 <= e2, false);
+  BOOST_TEST_EQ(e1 <= -e2, true);
+  BOOST_TEST_EQ(e1 > e2, true);
+  BOOST_TEST_EQ(e1 > -e2, false);
+  BOOST_TEST_EQ(e1 >= e2, true);
+  BOOST_TEST_EQ(e1 >= -e2, true);
+}
+
+void extended_int_test5()
+{
+  typedef extended_int<2> eint64;
+  boost::mt19937_64 gen(static_cast<uint32>(time(NULL)));
+  for (int i = 0; i < 1000; ++i) {
+    int64 i1 = static_cast<int64>(gen());
+    int64 i2 = static_cast<int64>(gen());
+    eint64 e1(i1), e2(i2);
+    BOOST_TEST_EQ(e1 == e2, i1 == i2);
+    BOOST_TEST_EQ(e1 != e2, i1 != i2);
+    BOOST_TEST_EQ(e1 > e2, i1 > i2);
+    BOOST_TEST_EQ(e1 >= e2, i1 >= i2);
+    BOOST_TEST_EQ(e1 < e2, i1 < i2);
+    BOOST_TEST_EQ(e1 <= e2, i1 <= i2);
+  }
+}
+
+void extended_int_test6()
+{
+  typedef extended_int<1> eint32;
+  eint32 e1(32);
+  eint32 e2 = -e1;
+  BOOST_TEST_EQ(e2.count(), -1);
+  BOOST_TEST_EQ(e2.size(), 1U);
+  BOOST_TEST_EQ(e2.chunks()[0], 32U);
+}
+
+void extended_int_test7()
+{
+  typedef extended_int<2> eint64;
+  boost::mt19937_64 gen(static_cast<uint32>(time(NULL)));
+  for (int i = 0; i < 1000; ++i) {
+    int64 i1 = static_cast<int64>(gen()) >> 2;
+    int64 i2 = static_cast<int64>(gen()) >> 2;
+    eint64 e1(i1), e2(i2), e3(i1 + i2), e4(i1 - i2);
+    BOOST_TEST(e1 + e2 == e3);
+    BOOST_TEST(e1 - e2 == e4);
+  }
+}
+
+void extended_int_test8()
+{
+  typedef extended_int<2> eint64;
+  boost::mt19937 gen(static_cast<uint32>(time(NULL)));
+  for (int i = 0; i < 1000; ++i) {
+    int64 i1 = static_cast<int32>(gen());
+    int64 i2 = static_cast<int32>(gen());
+    eint64 e1(i1), e2(i2), e3(i1 * i2);
+    BOOST_TEST(e1 * e2 == e3);
+  }
+}
+
+void extended_int_test9()
+{
+  typedef extended_int<1> eint32;
+  for (int i = -10; i <= 10; ++i) {
+    for (int j = -10; j <= 10; ++j) {
+      eint32 e1(i), e2(j), e3(i+j), e4(i-j), e5(i*j);
+      BOOST_TEST(e1 + e2 == e3);
+      BOOST_TEST(e1 - e2 == e4);
+      BOOST_TEST(e1 * e2 == e5);
+    }
+  }
+}
+
+void extended_int_test10()
+{
+  typedef extended_int<2> eint64;
+  boost::mt19937_64 gen(static_cast<uint32>(time(NULL)));
+  for (int i = 0; i < 100; ++i) {
+    int64 i1 = static_cast<int64>(gen()) >> 20;
+    int64 i2 = i1 >> 32;
+    eint64 e1(i1), e2(i2);
+    BOOST_TEST(to_fpt(e1) == static_cast<fpt64>(i1));
+    BOOST_TEST(to_fpt(e2) == static_cast<fpt64>(i2));
+  }
+}
+
+void extened_int_test11()
+{
+  typedef extended_int<64> eint2048;
+  eint2048 two(2), value(1);
+  for (int i = 0; i < 1024; ++i)
+    value = value * two;
+  BOOST_TEST_EQ(value.count(), 33);
+  for (std::size_t i = 1; i < value.size(); ++i)
+    BOOST_TEST_EQ(value.chunks()[i-1], 0U);
+  BOOST_TEST_EQ(value.chunks()[32], 1U);
+}
+
+int main()
+{
+    ulp_comparison_test1();
+    ulp_comparison_test2();
+    extended_exponent_fpt_test1();
+    extended_exponent_fpt_test2();
+    extended_exponent_fpt_test3();
+    extended_exponent_fpt_test4();
+    extended_exponent_fpt_test5();
+    extended_exponent_fpt_test6();
+    extended_int_test1();
+    extended_int_test2();
+    extended_int_test3();
+    extended_int_test4();
+    extended_int_test5();
+    extended_int_test6();
+    extended_int_test7();
+    extended_int_test8();
+    extended_int_test9();
+    extended_int_test10();
+    extened_int_test11();
+    return boost::report_errors();
+}
diff --git a/src/boost/libs/polygon/test/voronoi_diagram_test.cpp b/src/boost/libs/polygon/test/voronoi_diagram_test.cpp
new file mode 100644
index 00000000..6646a175
--- /dev/null
+++ b/src/boost/libs/polygon/test/voronoi_diagram_test.cpp
@@ -0,0 +1,125 @@
+// Boost.Polygon library voronoi_diagram_test.cpp file
+
+//          Copyright Andrii Sydorchuk 2010-2012.
+// Distributed under 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)
+
+// See http://www.boost.org for updates, documentation, and revision history.
+
+#include <boost/core/lightweight_test.hpp>
+#include <boost/polygon/voronoi_diagram.hpp>
+#include <boost/polygon/voronoi_geometry_type.hpp>
+
+using namespace boost::polygon;
+
+typedef voronoi_cell<double> voronoi_cell_type;
+typedef voronoi_vertex<double> voronoi_vertex_type;
+typedef voronoi_edge<double> voronoi_edge_type;
+typedef voronoi_diagram<double> voronoi_diagram_type;
+
+void voronoi_cell_test()
+{
+  voronoi_cell_type cell(1, SOURCE_CATEGORY_INITIAL_SEGMENT);
+  cell.color(27);
+  BOOST_TEST(!cell.contains_point());
+  BOOST_TEST(cell.contains_segment());
+  BOOST_TEST(cell.is_degenerate());
+  BOOST_TEST(cell.source_index() == 1);
+  BOOST_TEST(cell.source_category() == SOURCE_CATEGORY_INITIAL_SEGMENT);
+  BOOST_TEST(cell.incident_edge() == NULL);
+  BOOST_TEST(cell.color() == 27);
+
+  voronoi_edge_type edge(true, true);
+  cell.incident_edge(&edge);
+  BOOST_TEST(!cell.is_degenerate());
+  BOOST_TEST(cell.incident_edge() == &edge);
+}
+
+void voronoi_vertex_test()
+{
+  voronoi_vertex_type vertex(1, 2);
+  vertex.color(27);
+  BOOST_TEST(vertex.is_degenerate());
+  BOOST_TEST(vertex.x() == 1);
+  BOOST_TEST(vertex.y() == 2);
+  BOOST_TEST(vertex.incident_edge() == NULL);
+  BOOST_TEST(vertex.color() == 27);
+
+  voronoi_edge_type edge(true, true);
+  vertex.incident_edge(&edge);
+  BOOST_TEST(!vertex.is_degenerate());
+  BOOST_TEST(vertex.incident_edge() == &edge);
+}
+
+void voronoi_edge_test()
+{
+  voronoi_edge_type edge1(false, false);
+  edge1.color(13);
+  BOOST_TEST(!edge1.is_primary());
+  BOOST_TEST(edge1.is_secondary());
+  BOOST_TEST(!edge1.is_linear());
+  BOOST_TEST(edge1.is_curved());
+  BOOST_TEST(!edge1.is_finite());
+  BOOST_TEST(edge1.is_infinite());
+  BOOST_TEST(edge1.color() == 13);
+
+  voronoi_edge_type edge2(true, true);
+  edge2.color(14);
+  BOOST_TEST(edge2.is_primary());
+  BOOST_TEST(!edge2.is_secondary());
+  BOOST_TEST(edge2.is_linear());
+  BOOST_TEST(!edge2.is_curved());
+  BOOST_TEST(!edge2.is_finite());
+  BOOST_TEST(edge2.is_infinite());
+  BOOST_TEST(edge2.color() == 14);
+
+  edge1.twin(&edge2);
+  edge2.twin(&edge1);
+  BOOST_TEST(edge1.twin() == &edge2);
+  BOOST_TEST(edge2.twin() == &edge1);
+
+  edge1.next(&edge2);
+  edge1.prev(&edge2);
+  edge2.next(&edge1);
+  edge2.prev(&edge1);
+  BOOST_TEST(edge1.next() == &edge2);
+  BOOST_TEST(edge1.prev() == &edge2);
+  BOOST_TEST(edge1.rot_next() == &edge1);
+  BOOST_TEST(edge1.rot_prev() == &edge1);
+
+  voronoi_cell_type cell(1, SOURCE_CATEGORY_INITIAL_SEGMENT);
+  edge1.cell(&cell);
+  BOOST_TEST(edge1.cell() == &cell);
+
+  voronoi_vertex_type vertex0(1, 2);
+  edge1.vertex0(&vertex0);
+  BOOST_TEST(edge1.vertex0() == &vertex0);
+  BOOST_TEST(edge2.vertex1() == &vertex0);
+
+  voronoi_vertex_type vertex1(2, 1);
+  edge2.vertex0(&vertex1);
+  BOOST_TEST(edge1.vertex1() == &vertex1);
+  BOOST_TEST(edge2.vertex0() == &vertex1);
+
+  BOOST_TEST(edge1.is_finite());
+  BOOST_TEST(edge2.is_finite());
+}
+
+void voronoi_diagram_test()
+{
+  voronoi_diagram_type vd;
+  BOOST_TEST(vd.num_cells() == 0);
+  BOOST_TEST(vd.num_vertices() == 0);
+  BOOST_TEST(vd.num_edges() == 0);
+  vd.clear();
+}
+
+int main()
+{
+    voronoi_cell_test();
+    voronoi_vertex_test();
+    voronoi_edge_test();
+    voronoi_diagram_test();
+    return boost::report_errors();
+}
diff --git a/src/boost/libs/polygon/test/voronoi_geometry_type_test.cpp b/src/boost/libs/polygon/test/voronoi_geometry_type_test.cpp
new file mode 100644
index 00000000..82dd9fe4
--- /dev/null
+++ b/src/boost/libs/polygon/test/voronoi_geometry_type_test.cpp
@@ -0,0 +1,34 @@
+// Boost.Polygon library voronoi_geometry_type_test.cpp file
+
+//          Copyright Andrii Sydorchuk 2010-2012.
+// Distributed under 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)
+
+// See http://www.boost.org for updates, documentation, and revision history.
+
+#include <boost/core/lightweight_test.hpp>
+#include <boost/polygon/voronoi_geometry_type.hpp>
+
+using namespace boost::polygon;
+
+void source_category_test1()
+{
+  BOOST_TEST(belongs(SOURCE_CATEGORY_SINGLE_POINT, GEOMETRY_CATEGORY_POINT));
+  BOOST_TEST(belongs(SOURCE_CATEGORY_SEGMENT_START_POINT, GEOMETRY_CATEGORY_POINT));
+  BOOST_TEST(belongs(SOURCE_CATEGORY_SEGMENT_END_POINT, GEOMETRY_CATEGORY_POINT));
+  BOOST_TEST(!belongs(SOURCE_CATEGORY_INITIAL_SEGMENT, GEOMETRY_CATEGORY_POINT));
+  BOOST_TEST(!belongs(SOURCE_CATEGORY_REVERSE_SEGMENT, GEOMETRY_CATEGORY_POINT));
+
+  BOOST_TEST(!belongs(SOURCE_CATEGORY_SINGLE_POINT, GEOMETRY_CATEGORY_SEGMENT));
+  BOOST_TEST(!belongs(SOURCE_CATEGORY_SEGMENT_START_POINT, GEOMETRY_CATEGORY_SEGMENT));
+  BOOST_TEST(!belongs(SOURCE_CATEGORY_SEGMENT_END_POINT, GEOMETRY_CATEGORY_SEGMENT));
+  BOOST_TEST(belongs(SOURCE_CATEGORY_INITIAL_SEGMENT, GEOMETRY_CATEGORY_SEGMENT));
+  BOOST_TEST(belongs(SOURCE_CATEGORY_REVERSE_SEGMENT, GEOMETRY_CATEGORY_SEGMENT));
+}
+
+int main()
+{
+    source_category_test1();
+    return boost::report_errors();
+}
diff --git a/src/boost/libs/polygon/test/voronoi_predicates_test.cpp b/src/boost/libs/polygon/test/voronoi_predicates_test.cpp
new file mode 100644
index 00000000..1f5b3fb3
--- /dev/null
+++ b/src/boost/libs/polygon/test/voronoi_predicates_test.cpp
@@ -0,0 +1,636 @@
+// Boost.Polygon library voronoi_predicates_test.cpp file
+
+//          Copyright Andrii Sydorchuk 2010-2012.
+// Distributed under 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)
+
+// See http://www.boost.org for updates, documentation, and revision history.
+
+#include <boost/core/lightweight_test.hpp>
+#include <boost/polygon/detail/voronoi_ctypes.hpp>
+#include <boost/polygon/detail/voronoi_predicates.hpp>
+#include <boost/polygon/detail/voronoi_structures.hpp>
+#include <boost/polygon/voronoi_geometry_type.hpp>
+#include <limits>
+#include <map>
+
+using namespace boost::polygon::detail;
+using namespace boost::polygon;
+
+ulp_comparison<double> ulp_cmp;
+
+typedef voronoi_predicates< voronoi_ctype_traits<int> > VP;
+typedef point_2d<int> point_type;
+typedef site_event<int> site_type;
+typedef circle_event<double> circle_type;
+VP::event_comparison_predicate<site_type, circle_type> event_comparison;
+
+typedef beach_line_node_key<site_type> key_type;
+typedef VP::distance_predicate<site_type> distance_predicate_type;
+typedef VP::node_comparison_predicate<key_type> node_comparison_type;
+typedef std::map<key_type, int, node_comparison_type> beach_line_type;
+typedef beach_line_type::iterator bieach_line_iterator;
+distance_predicate_type distance_predicate;
+node_comparison_type node_comparison;
+
+typedef VP::circle_existence_predicate<site_type> CEP_type;
+typedef VP::mp_circle_formation_functor<site_type, circle_type> MP_CFF_type;
+typedef VP::lazy_circle_formation_functor<site_type, circle_type> lazy_CFF_type;
+VP::circle_formation_predicate<site_type, circle_type, CEP_type, MP_CFF_type> mp_predicate;
+VP::circle_formation_predicate<site_type, circle_type, CEP_type, lazy_CFF_type> lazy_predicate;
+
+#define CHECK_ORIENTATION(P1, P2, P3, R1, R2) \
+    BOOST_TEST_EQ(VP::ot::eval(P1, P2, P3) == R1, true); \
+    BOOST_TEST_EQ(VP::ot::eval(P1, P3, P2) == R2, true); \
+    BOOST_TEST_EQ(VP::ot::eval(P2, P1, P3) == R2, true); \
+    BOOST_TEST_EQ(VP::ot::eval(P2, P3, P1) == R1, true); \
+    BOOST_TEST_EQ(VP::ot::eval(P3, P1, P2) == R1, true); \
+    BOOST_TEST_EQ(VP::ot::eval(P3, P2, P1) == R2, true)
+
+#define CHECK_EVENT_COMPARISON(A, B, R1, R2) \
+    BOOST_TEST_EQ(event_comparison(A, B), R1); \
+    BOOST_TEST_EQ(event_comparison(B, A), R2)
+
+#define CHECK_DISTANCE_PREDICATE(S1, S2, P3, RES) \
+    BOOST_TEST_EQ(distance_predicate(S1, S2, P3), RES)
+
+#define CHECK_NODE_COMPARISON(node, nodes, res, sz) \
+    for (int i = 0; i < sz; ++i) { \
+      BOOST_TEST_EQ(node_comparison(node, nodes[i]), res[i]); \
+      BOOST_TEST_EQ(node_comparison(nodes[i], node), !res[i]); \
+    }
+
+#define CHECK_CIRCLE(circle, c_x, c_y, l_x) \
+    BOOST_TEST_EQ(ulp_cmp(c1.x(), c_x, 10), ulp_comparison<double>::EQUAL); \
+    BOOST_TEST_EQ(ulp_cmp(c1.y(), c_y, 10), ulp_comparison<double>::EQUAL); \
+    BOOST_TEST_EQ(ulp_cmp(c1.lower_x(), l_x, 10), ulp_comparison<double>::EQUAL)
+
+#define CHECK_CIRCLE_EXISTENCE(s1, s2, s3, RES) \
+  { circle_type c1; \
+    BOOST_TEST_EQ(lazy_predicate(s1, s2, s3, c1), RES); }
+
+#define CHECK_CIRCLE_FORMATION_PREDICATE(s1, s2, s3, c_x, c_y, l_x) \
+  { circle_type c1, c2; \
+    BOOST_TEST_EQ(mp_predicate(s1, s2, s3, c1), true); \
+    BOOST_TEST_EQ(lazy_predicate(s1, s2, s3, c2), true); \
+    CHECK_CIRCLE(c1, c_x, c_y, l_x); \
+    CHECK_CIRCLE(c2, c_x, c_y, l_x); }
+
+void orientation_test()
+{
+  int min_int = (std::numeric_limits<int>::min)();
+  int max_int = (std::numeric_limits<int>::max)();
+  point_type point1(min_int, min_int);
+  point_type point2(0, 0);
+  point_type point3(max_int, max_int);
+  point_type point4(min_int, max_int);
+  point_type point5(max_int-1, max_int);
+  CHECK_ORIENTATION(point1, point2, point3, VP::ot::COLLINEAR, VP::ot::COLLINEAR);
+  CHECK_ORIENTATION(point1, point4, point3, VP::ot::RIGHT, VP::ot::LEFT);
+  CHECK_ORIENTATION(point1, point5, point3, VP::ot::RIGHT, VP::ot::LEFT);
+}
+
+void event_comparison_test1()
+{
+  site_type site(1, 2);
+  CHECK_EVENT_COMPARISON(site, site_type(0, 2), false, true);
+  CHECK_EVENT_COMPARISON(site, site_type(1, 3), true, false);
+  CHECK_EVENT_COMPARISON(site, site_type(1, 2), false, false);
+}
+
+void event_comparison_test2()
+{
+  site_type site(0, 0, 0, 2);
+  CHECK_EVENT_COMPARISON(site, site_type(0, 2), true, false);
+  CHECK_EVENT_COMPARISON(site, site_type(0, 0), false, true);
+  CHECK_EVENT_COMPARISON(site, site_type(0, -2, 0, -1), false, true);
+  CHECK_EVENT_COMPARISON(site, site_type(0, -2, 1, 1), true, false);
+  CHECK_EVENT_COMPARISON(site, site_type(0, 0, 1, 1), true, false);
+}
+
+void event_comparison_test3()
+{
+  site_type site(0, 0, 10, 10);
+  CHECK_EVENT_COMPARISON(site, site_type(0, 0), false, true);
+  CHECK_EVENT_COMPARISON(site, site_type(0, -1), false, true);
+  CHECK_EVENT_COMPARISON(site, site_type(0, 1), false, true);
+  CHECK_EVENT_COMPARISON(site, site_type(0, 1, 0, 10), false, true);
+  CHECK_EVENT_COMPARISON(site, site_type(0, -10, 0, -1), false, true);
+  CHECK_EVENT_COMPARISON(site, site_type(0, 0, 10, 9), true, false);
+  CHECK_EVENT_COMPARISON(site, site_type(0, 0, 9, 10), false, true);
+}
+
+void event_comparison_test4()
+{
+  circle_type circle(1, 2, 3);
+  CHECK_EVENT_COMPARISON(circle, circle_type(1, 2, 3), false, false);
+  CHECK_EVENT_COMPARISON(circle, circle_type(1, 3, 3), true, false);
+  CHECK_EVENT_COMPARISON(circle, circle_type(1, 2, 4), true, false);
+  CHECK_EVENT_COMPARISON(circle, circle_type(0, 2, 2), false, true);
+  CHECK_EVENT_COMPARISON(circle, circle_type(-1, 2, 3), false, false);
+}
+
+void event_comparison_test5()
+{
+  circle_type circle(1, 2, 3);
+  CHECK_EVENT_COMPARISON(circle, site_type(0, 100), false, true);
+  CHECK_EVENT_COMPARISON(circle, site_type(3, 0), false, false);
+  CHECK_EVENT_COMPARISON(circle, site_type(3, 2), false, false);
+  CHECK_EVENT_COMPARISON(circle, site_type(3, 3), false, false);
+  CHECK_EVENT_COMPARISON(circle, site_type(4, 2), true, false);
+}
+
+void distance_predicate_test1()
+{
+  site_type site1(-5, 0);
+  site1.sorted_index(1);
+  site_type site2(-8, 9);
+  site2.sorted_index(0);
+  site_type site3(-2, 1);
+  site3.sorted_index(2);
+  CHECK_DISTANCE_PREDICATE(site1, site2, point_type(0, 5), false);
+  CHECK_DISTANCE_PREDICATE(site3, site1, point_type(0, 5), false);
+  CHECK_DISTANCE_PREDICATE(site1, site2, point_type(0, 4), false);
+  CHECK_DISTANCE_PREDICATE(site3, site1, point_type(0, 4), false);
+  CHECK_DISTANCE_PREDICATE(site1, site2, point_type(0, 6), true);
+  CHECK_DISTANCE_PREDICATE(site3, site1, point_type(0, 6), true);
+}
+
+void distance_predicate_test2()
+{
+  site_type site1(-4, 0, -4, 20);
+  site1.sorted_index(0);
+  site_type site2(-2, 10);
+  site2.sorted_index(1);
+  CHECK_DISTANCE_PREDICATE(site2, site1, point_type(0, 11), false);
+  CHECK_DISTANCE_PREDICATE(site2, site1, point_type(0, 9), false);
+  CHECK_DISTANCE_PREDICATE(site1, site2, point_type(0, 11), true);
+  CHECK_DISTANCE_PREDICATE(site1, site2, point_type(0, 9), true);
+}
+
+void distance_predicate_test3()
+{
+  site_type site1(-5, 5, 2, -2);
+  site1.sorted_index(0);
+  site1.inverse();
+  site_type site2(-2, 4);
+  site2.sorted_index(1);
+  CHECK_DISTANCE_PREDICATE(site1, site2, point_type(0, -1), false);
+  CHECK_DISTANCE_PREDICATE(site2, site1, point_type(0, -1), false);
+  CHECK_DISTANCE_PREDICATE(site1, site2, point_type(0, 1), false);
+  CHECK_DISTANCE_PREDICATE(site2, site1, point_type(0, 1), false);
+  CHECK_DISTANCE_PREDICATE(site1, site2, point_type(0, 4), true);
+  CHECK_DISTANCE_PREDICATE(site2, site1, point_type(0, 4), false);
+  CHECK_DISTANCE_PREDICATE(site1, site2, point_type(0, 5), true);
+  CHECK_DISTANCE_PREDICATE(site2, site1, point_type(0, 5), false);
+}
+
+void distance_predicate_test4()
+{
+  site_type site1(-5, 5, 2, -2);
+  site1.sorted_index(0);
+  site_type site2(-2, -4);
+  site2.sorted_index(2);
+  site_type site3(-4, 1);
+  site3.sorted_index(1);
+  CHECK_DISTANCE_PREDICATE(site1, site2, point_type(0, 1), true);
+  CHECK_DISTANCE_PREDICATE(site2, site1, point_type(0, 1), true);
+  CHECK_DISTANCE_PREDICATE(site1, site3, point_type(0, 1), true);
+  CHECK_DISTANCE_PREDICATE(site3, site1, point_type(0, 1), true);
+  CHECK_DISTANCE_PREDICATE(site1, site2, point_type(0, -2), true);
+  CHECK_DISTANCE_PREDICATE(site2, site1, point_type(0, -2), false);
+  CHECK_DISTANCE_PREDICATE(site1, site3, point_type(0, -2), true);
+  CHECK_DISTANCE_PREDICATE(site3, site1, point_type(0, -2), false);
+  CHECK_DISTANCE_PREDICATE(site1, site2, point_type(0, -8), true);
+  CHECK_DISTANCE_PREDICATE(site2, site1, point_type(0, -8), false);
+  CHECK_DISTANCE_PREDICATE(site1, site3, point_type(0, -8), true);
+  CHECK_DISTANCE_PREDICATE(site3, site1, point_type(0, -8), false);
+  CHECK_DISTANCE_PREDICATE(site1, site2, point_type(0, -9), true);
+  CHECK_DISTANCE_PREDICATE(site2, site1, point_type(0, -9), false);
+  CHECK_DISTANCE_PREDICATE(site1, site3, point_type(0, -9), true);
+  CHECK_DISTANCE_PREDICATE(site3, site1, point_type(0, -9), false);
+}
+
+void distance_predicate_test5()
+{
+  site_type site1(-5, 5, 2, -2);
+  site1.sorted_index(0);
+  site_type site2 = site1;
+  site2.inverse();
+  site_type site3(-2, 4);
+  site3.sorted_index(3);
+  site_type site4(-2, -4);
+  site4.sorted_index(2);
+  site_type site5(-4, 1);
+  site5.sorted_index(1);
+  CHECK_DISTANCE_PREDICATE(site3, site2, point_type(0, 1), false);
+  CHECK_DISTANCE_PREDICATE(site3, site2, point_type(0, 4), false);
+  CHECK_DISTANCE_PREDICATE(site3, site2, point_type(0, 5), false);
+  CHECK_DISTANCE_PREDICATE(site3, site2, point_type(0, 7), true);
+  CHECK_DISTANCE_PREDICATE(site4, site1, point_type(0, -2), false);
+  CHECK_DISTANCE_PREDICATE(site5, site1, point_type(0, -2), false);
+  CHECK_DISTANCE_PREDICATE(site4, site1, point_type(0, -8), false);
+  CHECK_DISTANCE_PREDICATE(site5, site1, point_type(0, -8), false);
+  CHECK_DISTANCE_PREDICATE(site4, site1, point_type(0, -9), false);
+  CHECK_DISTANCE_PREDICATE(site5, site1, point_type(0, -9), false);
+  CHECK_DISTANCE_PREDICATE(site4, site1, point_type(0, -18), false);
+  CHECK_DISTANCE_PREDICATE(site5, site1, point_type(0, -18), false);
+  CHECK_DISTANCE_PREDICATE(site4, site1, point_type(0, -1), true);
+  CHECK_DISTANCE_PREDICATE(site5, site1, point_type(0, -1), true);
+}
+
+void distance_predicate_test6()
+{
+  site_type site1(-5, 0, 2, 7);
+  site_type site2 = site1;
+  site2.inverse();
+  CHECK_DISTANCE_PREDICATE(site1, site2, point_type(2, 7), false);
+  CHECK_DISTANCE_PREDICATE(site1, site2, point_type(1, 5), false);
+  CHECK_DISTANCE_PREDICATE(site1, site2, point_type(-1, 5), true);
+}
+
+void distance_predicate_test7()
+{
+  site_type site1(-5, 5, 2, -2);
+  site1.sorted_index(1);
+  site1.inverse();
+  site_type site2(-5, 5, 0, 6);
+  site2.sorted_index(0);
+  site_type site3(-2, 4, 0, 4);
+  site3.sorted_index(2);
+  point_type site4(0, 2);
+  point_type site5(0, 5);
+  point_type site6(0, 6);
+  point_type site7(0, 8);
+  CHECK_DISTANCE_PREDICATE(site1, site2, site4, false);
+  CHECK_DISTANCE_PREDICATE(site1, site2, site5, true);
+  CHECK_DISTANCE_PREDICATE(site1, site2, site6, true);
+  CHECK_DISTANCE_PREDICATE(site1, site2, site7, true);
+  CHECK_DISTANCE_PREDICATE(site1, site3, site4, false);
+  CHECK_DISTANCE_PREDICATE(site1, site3, site5, true);
+  CHECK_DISTANCE_PREDICATE(site1, site3, site6, true);
+  CHECK_DISTANCE_PREDICATE(site1, site3, site7, true);
+  site3.inverse();
+  CHECK_DISTANCE_PREDICATE(site3, site1, site4, false);
+  CHECK_DISTANCE_PREDICATE(site3, site1, site5, false);
+  CHECK_DISTANCE_PREDICATE(site3, site1, site6, false);
+  CHECK_DISTANCE_PREDICATE(site3, site1, site7, true);
+}
+
+void distance_predicate_test8()
+{
+  site_type site1(-5, 3, -2, 2);
+  site1.sorted_index(0);
+  site1.inverse();
+  site_type site2(-5, 5, -2, 2);
+  site2.sorted_index(1);
+  CHECK_DISTANCE_PREDICATE(site1, site2, point_type(-4, 2), false);
+}
+
+void node_comparison_test1()
+{
+  beach_line_type beach_line;
+  site_type site1(0, 0);
+  site1.sorted_index(0);
+  site_type site2(0, 2);
+  site2.sorted_index(1);
+  site_type site3(1, 0);
+  site3.sorted_index(2);
+  beach_line[key_type(site1, site2)] = 2;
+  beach_line[key_type(site1, site3)] = 0;
+  beach_line[key_type(site3, site1)] = 1;
+  int cur_index = 0;
+  for (bieach_line_iterator it = beach_line.begin();
+       it != beach_line.end(); ++it, ++cur_index) {
+    BOOST_TEST_EQ(it->second, cur_index);
+  }
+}
+
+void node_comparison_test2()
+{
+  beach_line_type beach_line;
+  site_type site1(0, 1);
+  site1.sorted_index(0);
+  site_type site2(2, 0);
+  site2.sorted_index(1);
+  site_type site3(2, 4);
+  site3.sorted_index(2);
+  beach_line[key_type(site1, site2)] = 0;
+  beach_line[key_type(site2, site1)] = 1;
+  beach_line[key_type(site1, site3)] = 2;
+  beach_line[key_type(site3, site1)] = 3;
+  int cur_index = 0;
+  for (bieach_line_iterator it = beach_line.begin();
+       it != beach_line.end(); ++it, ++cur_index) {
+    BOOST_TEST_EQ(it->second, cur_index);
+  }
+}
+
+void node_comparison_test3()
+{
+  key_type node(site_type(1, 0).sorted_index(1), site_type(0, 2).sorted_index(0));
+  key_type nodes[] = {
+    key_type(site_type(2, -10).sorted_index(2)),
+    key_type(site_type(2, -1).sorted_index(2)),
+    key_type(site_type(2, 0).sorted_index(2)),
+    key_type(site_type(2, 1).sorted_index(2)),
+    key_type(site_type(2, 2).sorted_index(2)),
+    key_type(site_type(2, 3).sorted_index(2)),
+  };
+  bool res[] = {false, false, false, false, true, true};
+  CHECK_NODE_COMPARISON(node, nodes, res, 6);
+}
+
+void node_comparison_test4()
+{
+  key_type node(site_type(0, 1).sorted_index(0), site_type(1, 0).sorted_index(1));
+  key_type nodes[] = {
+    key_type(site_type(2, -3).sorted_index(2)),
+    key_type(site_type(2, -2).sorted_index(2)),
+    key_type(site_type(2, -1).sorted_index(2)),
+    key_type(site_type(2, 0).sorted_index(2)),
+    key_type(site_type(2, 1).sorted_index(2)),
+    key_type(site_type(2, 3).sorted_index(2)),
+  };
+  bool res[] = {false, true, true, true, true, true};
+  CHECK_NODE_COMPARISON(node, nodes, res, 6);
+}
+
+void node_comparison_test5()
+{
+  key_type node(site_type(0, 0).sorted_index(0), site_type(1, 2).sorted_index(1));
+  key_type nodes[] = {
+    key_type(site_type(2, -10).sorted_index(2)),
+    key_type(site_type(2, 0).sorted_index(2)),
+    key_type(site_type(2, 1).sorted_index(2)),
+    key_type(site_type(2, 2).sorted_index(2)),
+    key_type(site_type(2, 5).sorted_index(2)),
+    key_type(site_type(2, 20).sorted_index(2)),
+  };
+  bool res[] = {false, false, true, true, true, true};
+  CHECK_NODE_COMPARISON(node, nodes, res, 6);
+}
+
+void node_comparison_test6()
+{
+  key_type node(site_type(1, 1).sorted_index(1), site_type(0, 0).sorted_index(0));
+  key_type nodes[] = {
+    key_type(site_type(2, -3).sorted_index(2)),
+    key_type(site_type(2, -2).sorted_index(2)),
+    key_type(site_type(2, 0).sorted_index(2)),
+    key_type(site_type(2, 1).sorted_index(2)),
+    key_type(site_type(2, 2).sorted_index(2)),
+    key_type(site_type(2, 3).sorted_index(2)),
+    key_type(site_type(2, 5).sorted_index(2)),
+  };
+  bool res[] = {false, false, false, false, false, false, true};
+  CHECK_NODE_COMPARISON(node, nodes, res, 7);
+}
+
+void node_comparison_test7()
+{
+  key_type node(site_type(0, 0).sorted_index(0), site_type(0, 2).sorted_index(1));
+  key_type nodes[] = {
+    key_type(site_type(1, 0).sorted_index(2)),
+    key_type(site_type(1, 1).sorted_index(2)),
+    key_type(site_type(1, 2).sorted_index(2)),
+  };
+  bool res[] = {false, false, true};
+  CHECK_NODE_COMPARISON(node, nodes, res, 3);
+}
+
+void node_comparison_test8()
+{
+  key_type node(site_type(0, 0).sorted_index(0), site_type(1, 1).sorted_index(2));
+  key_type nodes[] = {
+    key_type(site_type(1, 0).sorted_index(1)),
+    key_type(site_type(1, 1).sorted_index(2)),
+    key_type(site_type(1, 2).sorted_index(3)),
+    key_type(site_type(1, 1).sorted_index(2), site_type(0, 0).sorted_index(0)),
+  };
+  bool res[] = {false, true, true, true};
+  CHECK_NODE_COMPARISON(node, nodes, res, 4);
+}
+
+void circle_formation_predicate_test1()
+{
+  site_type site1(0, 0);
+  site1.sorted_index(1);
+  site_type site2(-8, 0);
+  site2.sorted_index(0);
+  site_type site3(0, 6);
+  site3.sorted_index(2);
+  CHECK_CIRCLE_FORMATION_PREDICATE(site1, site2, site3, -4.0, 3.0, 1.0);
+}
+
+void circle_formation_predicate_test2()
+{
+  int min_int = (std::numeric_limits<int>::min)();
+  int max_int = (std::numeric_limits<int>::max)();
+  site_type site1(min_int, min_int);
+  site1.sorted_index(0);
+  site_type site2(min_int, max_int);
+  site2.sorted_index(1);
+  site_type site3(max_int-1, max_int-1);
+  site3.sorted_index(2);
+  site_type site4(max_int, max_int);
+  site4.sorted_index(3);
+  CHECK_CIRCLE_EXISTENCE(site1, site2, site4, true);
+  CHECK_CIRCLE_EXISTENCE(site1, site3, site4, false);
+}
+
+void circle_formation_predicate_test3()
+{
+  site_type site1(-4, 0);
+  site1.sorted_index(0);
+  site_type site2(0, 4);
+  site2.sorted_index(4);
+  site_type site3(site1.point0(), site2.point0());
+  site3.sorted_index(1);
+  CHECK_CIRCLE_EXISTENCE(site1, site3, site2, false);
+  site_type site4(-2, 0);
+  site4.sorted_index(2);
+  site_type site5(0, 2);
+  site5.sorted_index(3);
+  CHECK_CIRCLE_EXISTENCE(site3, site4, site5, false);
+  CHECK_CIRCLE_EXISTENCE(site4, site5, site3, false);
+}
+
+void circle_formation_predicate_test4()
+{
+  site_type site1(-4, 0, -4, 20);
+  site1.sorted_index(0);
+  site_type site2(-2, 10);
+  site2.sorted_index(1);
+  site_type site3(4, 10);
+  site3.sorted_index(2);
+  CHECK_CIRCLE_FORMATION_PREDICATE(site1, site2, site3, 1.0, 6.0, 6.0);
+  CHECK_CIRCLE_FORMATION_PREDICATE(site3, site2, site1, 1.0, 14.0, 6.0);
+}
+
+void circle_formation_predicate_test5()
+{
+  site_type site1(1, 0, 7, 0);
+  site1.sorted_index(2);
+  site1.inverse();
+  site_type site2(-2, 4, 10, 4);
+  site2.sorted_index(0);
+  site_type site3(6, 2);
+  site3.sorted_index(3);
+  site_type site4(1, 0);
+  site4.sorted_index(1);
+  CHECK_CIRCLE_FORMATION_PREDICATE(site3, site1, site2, 4.0, 2.0, 6.0);
+  CHECK_CIRCLE_FORMATION_PREDICATE(site4, site2, site1, 1.0, 2.0, 3.0);
+}
+
+void circle_formation_predicate_test6()
+{
+  site_type site1(-1, 2, 8, -10);
+  site1.sorted_index(1);
+  site1.inverse();
+  site_type site2(-1, 0, 8, 12);
+  site2.sorted_index(0);
+  site_type site3(1, 1);
+  site3.sorted_index(2);
+  CHECK_CIRCLE_FORMATION_PREDICATE(site3, site2, site1, 6.0, 1.0, 11.0);
+}
+
+void circle_formation_predicate_test7()
+{
+  site_type site1(1, 0, 6, 0);
+  site1.sorted_index(2);
+  site1.inverse();
+  site_type site2(-6, 4, 0, 12);
+  site2.sorted_index(0);
+  site_type site3(1, 0);
+  site3.sorted_index(1);
+  CHECK_CIRCLE_FORMATION_PREDICATE(site3, site2, site1, 1.0, 5.0, 6.0);
+}
+
+void circle_formation_predicate_test8()
+{
+  site_type site1(1, 0, 5, 0);
+  site1.sorted_index(2);
+  site1.inverse();
+  site_type site2(0, 12, 8, 6);
+  site2.sorted_index(0);
+  site_type site3(1, 0);
+  site3.sorted_index(1);
+  CHECK_CIRCLE_FORMATION_PREDICATE(site3, site2, site1, 1.0, 5.0, 6.0);
+}
+
+void circle_formation_predicate_test9()
+{
+  site_type site1(0, 0, 4, 0);
+  site1.sorted_index(1);
+  site_type site2(0, 0, 0, 4);
+  site2.sorted_index(0);
+  site_type site3(0, 4, 4, 4);
+  site3.sorted_index(2);
+  site1.inverse();
+  CHECK_CIRCLE_FORMATION_PREDICATE(site1, site2, site3, 2.0, 2.0, 4.0);
+}
+
+void circle_formation_predicate_test10()
+{
+  site_type site1(1, 0, 41, 30);
+  site1.sorted_index(1);
+  site_type site2(-39, 30, 1, 60);
+  site2.sorted_index(0);
+  site_type site3(1, 60, 41, 30);
+  site3.sorted_index(2);
+  site1.inverse();
+  CHECK_CIRCLE_FORMATION_PREDICATE(site1, site2, site3, 1.0, 30.0, 25.0);
+}
+
+void circle_formation_predicate_test11()
+{
+  site_type site1(0, 0, 0, 10);
+  site1.sorted_index(2);
+  site1.inverse();
+  site_type site2(-8, 10);
+  site2.sorted_index(0);
+  site_type site3(-7, 14, -1, 14);
+  site3.sorted_index(1);
+  CHECK_CIRCLE_FORMATION_PREDICATE(site1, site2, site3, -4.0, 10.0, 0.0);
+}
+
+void circle_formation_predicate_test12()
+{
+  site_type site1(0, 0, 0, 10);
+  site1.sorted_index(2);
+  site1.inverse();
+  site_type site2(-8, 10);
+  site2.sorted_index(0);
+  site_type site3(-7, 15, -1, 15);
+  site3.sorted_index(1);
+  CHECK_CIRCLE_EXISTENCE(site1, site2, site3, false);
+}
+
+void circle_formation_predicate_test13()
+{
+  site_type site1(0, 0, 0, 10);
+  site1.sorted_index(2);
+  site1.inverse();
+  site_type site2(-7, -4, -1, -4);
+  site2.sorted_index(1);
+  site2.inverse();
+  site_type site3(-8, 0);
+  site3.sorted_index(0);
+  CHECK_CIRCLE_FORMATION_PREDICATE(site1, site2, site3, -4.0, 0.0, 0.0);
+}
+
+void circle_formation_predicate_test14()
+{
+  site_type site1(0, 0, 0, 10);
+  site1.sorted_index(2);
+  site1.inverse();
+  site_type site2(-7, -5, -1, -5);
+  site2.sorted_index(1);
+  site2.inverse();
+  site_type site3(-8, 0);
+  site3.sorted_index(0);
+  CHECK_CIRCLE_EXISTENCE(site1, site2, site3, false);
+}
+
+int main()
+{
+    orientation_test();
+    event_comparison_test1();
+    event_comparison_test2();
+    event_comparison_test3();
+    event_comparison_test4();
+    event_comparison_test5();
+    distance_predicate_test1();
+    distance_predicate_test2();
+    distance_predicate_test3();
+    distance_predicate_test4();
+    distance_predicate_test5();
+    distance_predicate_test6();
+    distance_predicate_test7();
+    distance_predicate_test8();
+    node_comparison_test1();
+    node_comparison_test2();
+    node_comparison_test3();
+    node_comparison_test4();
+    node_comparison_test5();
+    node_comparison_test6();
+    node_comparison_test7();
+    node_comparison_test8();
+    circle_formation_predicate_test1();
+    circle_formation_predicate_test2();
+    circle_formation_predicate_test3();
+    circle_formation_predicate_test4();
+    circle_formation_predicate_test5();
+    circle_formation_predicate_test6();
+    circle_formation_predicate_test7();
+    circle_formation_predicate_test8();
+    circle_formation_predicate_test9();
+    circle_formation_predicate_test10();
+    circle_formation_predicate_test11();
+    circle_formation_predicate_test12();
+    circle_formation_predicate_test13();
+    circle_formation_predicate_test14();
+    return boost::report_errors();
+}
diff --git a/src/boost/libs/polygon/test/voronoi_robust_fpt_test.cpp b/src/boost/libs/polygon/test/voronoi_robust_fpt_test.cpp
new file mode 100644
index 00000000..91853069
--- /dev/null
+++ b/src/boost/libs/polygon/test/voronoi_robust_fpt_test.cpp
@@ -0,0 +1,405 @@
+// Boost.Polygon library voronoi_robust_fpt_test.cpp file
+
+//          Copyright Andrii Sydorchuk 2010-2012.
+// Distributed under 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)
+
+// See http://www.boost.org for updates, documentation, and revision history.
+
+#include <boost/core/lightweight_test.hpp>
+#include <boost/polygon/detail/voronoi_ctypes.hpp>
+#include <boost/polygon/detail/voronoi_robust_fpt.hpp>
+#include <boost/random/mersenne_twister.hpp>
+#include <vector>
+#include <cmath>
+#include <ctime>
+
+using boost::polygon::detail::int32;
+using boost::polygon::detail::uint32;
+using boost::polygon::detail::int64;
+using boost::polygon::detail::fpt64;
+using boost::polygon::detail::efpt64;
+using boost::polygon::detail::extended_int;
+using boost::polygon::detail::extended_exponent_fpt;
+using boost::polygon::detail::robust_fpt;
+using boost::polygon::detail::robust_dif;
+using boost::polygon::detail::robust_sqrt_expr;
+using boost::polygon::detail::type_converter_fpt;
+using boost::polygon::detail::type_converter_efpt;
+using boost::polygon::detail::ulp_comparison;
+
+typedef robust_fpt<double> rfpt_type;
+typedef type_converter_fpt to_fpt_type;
+typedef type_converter_efpt to_efpt_type;
+type_converter_fpt to_fpt;
+
+void robust_fpt_constructors_test1()
+{
+  rfpt_type a = rfpt_type();
+  BOOST_TEST_EQ(a.fpv(), 0.0);
+  BOOST_TEST_EQ(a.re(), 0.0);
+  BOOST_TEST_EQ(a.ulp(), 0);
+}
+
+void robust_fpt_constructors_test2()
+{
+  rfpt_type a(10.0, 1.0);
+  BOOST_TEST_EQ(a.fpv(), 10.0);
+  BOOST_TEST_EQ(a.re(), 1.0);
+  BOOST_TEST_EQ(a.ulp(), 1.0);
+}
+
+void robust_fpt_constructors_test3()
+{
+  rfpt_type a(10.0);
+  BOOST_TEST_EQ(a.fpv(), 10.0);
+  BOOST_TEST_EQ(a.re(), 0.0);
+  BOOST_TEST_EQ(a.ulp(), 0.0);
+}
+
+void robust_fpt_constructors_test4()
+{
+  rfpt_type a(10.0, 3.0);
+  BOOST_TEST_EQ(a.fpv(), 10.0);
+  BOOST_TEST_EQ(a.re(), 3.0);
+  BOOST_TEST_EQ(a.ulp(), 3.0);
+
+  rfpt_type b(10.0, 2.75);
+  BOOST_TEST_EQ(b.fpv(), 10.0);
+  BOOST_TEST_EQ(b.re(), 2.75);
+  BOOST_TEST_EQ(b.ulp(), 2.75);
+}
+
+void robust_fpt_sum_test1()
+{
+  rfpt_type a(2.0, 5.0);
+  rfpt_type b(3.0, 4.0);
+  rfpt_type c = a + b;
+  BOOST_TEST_EQ(c.fpv(), 5.0);
+  BOOST_TEST_EQ(c.re(), 6.0);
+  BOOST_TEST_EQ(c.ulp(), 6.0);
+
+  c += b;
+  BOOST_TEST_EQ(c.fpv(), 8.0);
+  BOOST_TEST_EQ(c.re(), 7.0);
+  BOOST_TEST_EQ(c.ulp(), 7.0);
+}
+
+void robust_fpt_sum_test2()
+{
+  rfpt_type a(3.0, 2.0);
+  rfpt_type b(-2.0, 3.0);
+  rfpt_type c = a + b;
+  BOOST_TEST_EQ(c.fpv(), 1.0);
+  BOOST_TEST_EQ(c.re(), 13.0);
+  BOOST_TEST_EQ(c.ulp(), 13.0);
+
+  c += b;
+  BOOST_TEST_EQ(c.fpv(), -1.0);
+  BOOST_TEST_EQ(c.re(), 20.0);
+  BOOST_TEST_EQ(c.ulp(), 20.0);
+}
+
+void robust_fpt_dif_test1()
+{
+  rfpt_type a(2.0, 5.0);
+  rfpt_type b(-3.0, 4.0);
+  rfpt_type c = a - b;
+  BOOST_TEST_EQ(c.fpv(), 5.0);
+  BOOST_TEST_EQ(c.re(), 6.0);
+  BOOST_TEST_EQ(c.ulp(), 6.0);
+
+  c -= b;
+  BOOST_TEST_EQ(c.fpv(), 8.0);
+  BOOST_TEST_EQ(c.re(), 7.0);
+  BOOST_TEST_EQ(c.ulp(), 7.0);
+}
+
+void robust_fpt_dif_test2()
+{
+  rfpt_type a(3.0, 2.0);
+  rfpt_type b(2.0, 3.0);
+  rfpt_type c = a - b;
+  BOOST_TEST_EQ(c.fpv(), 1.0);
+  BOOST_TEST_EQ(c.re(), 13.0);
+  BOOST_TEST_EQ(c.ulp(), 13.0);
+
+  c -= b;
+  BOOST_TEST_EQ(c.fpv(), -1.0);
+  BOOST_TEST_EQ(c.re(), 20.0);
+  BOOST_TEST_EQ(c.ulp(), 20.0);
+}
+
+void robust_fpt_mult_test3()
+{
+  rfpt_type a(2.0, 3.0);
+  rfpt_type b(4.0, 1.0);
+  rfpt_type c = a * b;
+  BOOST_TEST_EQ(c.fpv(), 8.0);
+  BOOST_TEST_EQ(c.re(), 5.0);
+  BOOST_TEST_EQ(c.ulp(), 5.0);
+
+  c *= b;
+  BOOST_TEST_EQ(c.fpv(), 32.0);
+  BOOST_TEST_EQ(c.re(), 7.0);
+  BOOST_TEST_EQ(c.ulp(), 7.0);
+}
+
+void robust_fpt_div_test1()
+{
+  rfpt_type a(2.0, 3.0);
+  rfpt_type b(4.0, 1.0);
+  rfpt_type c = a / b;
+  BOOST_TEST_EQ(c.fpv(), 0.5);
+  BOOST_TEST_EQ(c.re(), 5.0);
+  BOOST_TEST_EQ(c.ulp(), 5.0);
+
+  c /= b;
+  BOOST_TEST_EQ(c.fpv(), 0.125);
+  BOOST_TEST_EQ(c.re(), 7.0);
+  BOOST_TEST_EQ(c.ulp(), 7.0);
+}
+
+void robust_dif_constructors_test()
+{
+  robust_dif<int> rd1;
+  BOOST_TEST_EQ(rd1.pos(), 0);
+  BOOST_TEST_EQ(rd1.neg(), 0);
+  BOOST_TEST_EQ(rd1.dif(), 0);
+
+  robust_dif<int> rd2(1);
+  BOOST_TEST_EQ(rd2.pos(), 1);
+  BOOST_TEST_EQ(rd2.neg(), 0);
+  BOOST_TEST_EQ(rd2.dif(), 1);
+
+  robust_dif<int> rd3(-1);
+  BOOST_TEST_EQ(rd3.pos(), 0);
+  BOOST_TEST_EQ(rd3.neg(), 1);
+  BOOST_TEST_EQ(rd3.dif(), -1);
+
+  robust_dif<int> rd4(1, 2);
+  BOOST_TEST_EQ(rd4.pos(), 1);
+  BOOST_TEST_EQ(rd4.neg(), 2);
+  BOOST_TEST_EQ(rd4.dif(), -1);
+}
+
+void robust_dif_operators_test1()
+{
+  robust_dif<int> a(5, 2), b(1, 10);
+  int dif_a = a.dif();
+  int dif_b = b.dif();
+  robust_dif<int> sum = a + b;
+  robust_dif<int> dif = a - b;
+  robust_dif<int> mult = a * b;
+  robust_dif<int> umin = -a;
+  BOOST_TEST_EQ(sum.dif(), dif_a + dif_b);
+  BOOST_TEST_EQ(dif.dif(), dif_a - dif_b);
+  BOOST_TEST_EQ(mult.dif(), dif_a * dif_b);
+  BOOST_TEST_EQ(umin.dif(), -dif_a);
+}
+
+void robust_dif_operators_test2()
+{
+  robust_dif<int> a(5, 2);
+  for (int b = -3; b <= 3; b += 6) {
+    int dif_a = a.dif();
+    int dif_b = b;
+    robust_dif<int> sum = a + b;
+    robust_dif<int> dif = a - b;
+    robust_dif<int> mult = a * b;
+    robust_dif<int> div = a / b;
+    BOOST_TEST_EQ(sum.dif(), dif_a + dif_b);
+    BOOST_TEST_EQ(dif.dif(), dif_a - dif_b);
+    BOOST_TEST_EQ(mult.dif(), dif_a * dif_b);
+    BOOST_TEST_EQ(div.dif(), dif_a / dif_b);
+  }
+}
+
+void robust_dif_operators_test3()
+{
+  robust_dif<int> b(5, 2);
+  for (int a = -3; a <= 3; a += 6) {
+    int dif_a = a;
+    int dif_b = b.dif();
+    robust_dif<int> sum = a + b;
+    robust_dif<int> dif = a - b;
+    robust_dif<int> mult = a * b;
+    BOOST_TEST_EQ(sum.dif(), dif_a + dif_b);
+    BOOST_TEST_EQ(dif.dif(), dif_a - dif_b);
+    BOOST_TEST_EQ(mult.dif(), dif_a * dif_b);
+  }
+}
+
+void robust_dif_operators_test4()
+{
+  std::vector< robust_dif<int> > a4(4, robust_dif<int>(5, 2));
+  std::vector< robust_dif<int> > b4(4, robust_dif<int>(1, 2));
+  std::vector< robust_dif<int> > c4 = a4;
+  c4[0] += b4[0];
+  c4[1] -= b4[1];
+  c4[2] *= b4[2];
+  BOOST_TEST_EQ(c4[0].dif(), a4[0].dif() + b4[0].dif());
+  BOOST_TEST_EQ(c4[1].dif(), a4[1].dif() - b4[1].dif());
+  BOOST_TEST_EQ(c4[2].dif(), a4[2].dif() * b4[2].dif());
+  a4[0] += b4[0].dif();
+  a4[1] -= b4[1].dif();
+  a4[2] *= b4[2].dif();
+  a4[3] /= b4[3].dif();
+  BOOST_TEST_EQ(c4[0].dif(), a4[0].dif());
+  BOOST_TEST_EQ(c4[1].dif(), a4[1].dif());
+  BOOST_TEST_EQ(c4[2].dif(), a4[2].dif());
+  BOOST_TEST_EQ(c4[3].dif() / b4[3].dif(), a4[3].dif());
+}
+
+void robust_sqrt_expr_test1()
+{
+  robust_sqrt_expr<int32, fpt64, to_fpt_type> sqrt_expr;
+  int32 A[1] = {10};
+  int32 B[1] = {100};
+  BOOST_TEST_EQ(sqrt_expr.eval1(A, B), 100.0);
+}
+
+void robust_sqrt_expr_test2()
+{
+  robust_sqrt_expr<int32, fpt64, to_fpt_type> sqrt_expr;
+  int32 A[2] = {10, 30};
+  int32 B[2] = {400, 100};
+  BOOST_TEST_EQ(sqrt_expr.eval2(A, B), 500.0);
+}
+
+void robust_sqrt_expr_test3()
+{
+  robust_sqrt_expr<int32, fpt64, to_fpt_type> sqrt_expr;
+  int32 A[2] = {10, -30};
+  int32 B[2] = {400, 100};
+  BOOST_TEST_EQ(sqrt_expr.eval2(A, B), -100.0);
+}
+
+void robust_sqrt_expr_test4()
+{
+  robust_sqrt_expr<int32, fpt64, to_fpt_type> sqrt_expr;
+  int32 A[3] = {10, 30, 20};
+  int32 B[3] = {4, 1, 9};
+  BOOST_TEST_EQ(sqrt_expr.eval3(A, B), 110.0);
+}
+
+void robust_sqrt_expr_test5()
+{
+  robust_sqrt_expr<int32, fpt64, to_fpt_type> sqrt_expr;
+  int32 A[3] = {10, 30, -20};
+  int32 B[3] = {4, 1, 9};
+  BOOST_TEST_EQ(sqrt_expr.eval3(A, B), -10.0);
+}
+
+void robust_sqrt_expr_test6()
+{
+  robust_sqrt_expr<int32, fpt64, to_fpt_type> sqrt_expr;
+  int32 A[4] = {10, 30, 20, 5};
+  int32 B[4] = {4, 1, 9, 16};
+  BOOST_TEST_EQ(sqrt_expr.eval4(A, B), 130.0);
+}
+
+void robust_sqrt_expr_test7()
+{
+  robust_sqrt_expr<int32, fpt64, to_fpt_type> sqrt_expr;
+  int32 A[4] = {10, 30, -20, -5};
+  int32 B[4] = {4, 1, 9, 16};
+  BOOST_TEST_EQ(sqrt_expr.eval4(A, B), -30.0);
+}
+
+void robust_sqrt_expr_test8()
+{
+  typedef extended_int<16> eint512;
+  robust_sqrt_expr<eint512, efpt64, to_efpt_type> sqrt_expr;
+  int32 A[4] = {1000, 3000, -2000, -500};
+  int32 B[4] = {400, 100, 900, 1600};
+  eint512 AA[4], BB[4];
+  for (std::size_t i = 0; i < 4; ++i) {
+    AA[i] = A[i];
+    BB[i] = B[i];
+  }
+  BOOST_TEST_EQ(to_fpt(sqrt_expr.eval4(AA, BB)), -30000.0);
+}
+
+template <typename _int, typename _fpt>
+class sqrt_expr_tester {
+ public:
+  static const std::size_t MX_SQRTS = 4;
+
+  bool run() {
+    static boost::mt19937 gen(static_cast<uint32>(time(NULL)));
+    bool ret_val = true;
+    for (std::size_t i = 0; i < MX_SQRTS; ++i) {
+      a[i] = gen() & 1048575;
+      int64 temp = gen() & 1048575;
+      b[i] = temp * temp;
+    }
+    uint32 mask = (1 << MX_SQRTS);
+    for (std::size_t i = 0; i < mask; i++) {
+      fpt64 expected_val = 0.0;
+      for (std::size_t j = 0; j < MX_SQRTS; j++) {
+        if (i & (1 << j)) {
+          A[j] = a[j];
+          B[j] = b[j];
+          expected_val += static_cast<fpt64>(a[j]) *
+                          std::sqrt(static_cast<fpt64>(b[j]));
+        } else {
+          A[j] = -a[j];
+          B[j] = b[j];
+          expected_val -= static_cast<fpt64>(a[j]) *
+                          std::sqrt(static_cast<fpt64>(b[j]));
+        }
+      }
+      fpt64 received_val = to_fpt(sqrt_expr_.eval4(A, B));
+      ret_val &= ulp_cmp(expected_val, received_val, 25) ==
+                 ulp_comparison<fpt64>::EQUAL;
+    }
+    return ret_val;
+  }
+
+ private:
+  robust_sqrt_expr<_int, _fpt, to_efpt_type> sqrt_expr_;
+  ulp_comparison<fpt64> ulp_cmp;
+  _int A[MX_SQRTS];
+  _int B[MX_SQRTS];
+  int64 a[MX_SQRTS];
+  int64 b[MX_SQRTS];
+};
+
+void mpz_sqrt_evaluator_test()
+{
+  typedef extended_int<16> eint512;
+  sqrt_expr_tester<eint512, efpt64> tester;
+  for (int i = 0; i < 2000; ++i)
+    BOOST_TEST(tester.run());
+}
+
+int main()
+{
+    robust_fpt_constructors_test1();
+    robust_fpt_constructors_test2();
+    robust_fpt_constructors_test3();
+    robust_fpt_constructors_test4();
+    robust_fpt_sum_test1();
+    robust_fpt_sum_test2();
+    robust_fpt_dif_test1();
+    robust_fpt_dif_test2();
+    robust_fpt_mult_test3();
+    robust_fpt_div_test1();
+    robust_dif_constructors_test();
+    robust_dif_operators_test1();
+    robust_dif_operators_test2();
+    robust_dif_operators_test3();
+    robust_dif_operators_test4();
+    robust_sqrt_expr_test1();
+    robust_sqrt_expr_test2();
+    robust_sqrt_expr_test3();
+    robust_sqrt_expr_test4();
+    robust_sqrt_expr_test5();
+    robust_sqrt_expr_test6();
+    robust_sqrt_expr_test7();
+    robust_sqrt_expr_test8();
+    mpz_sqrt_evaluator_test();
+    return boost::report_errors();
+}
diff --git a/src/boost/libs/polygon/test/voronoi_structures_test.cpp b/src/boost/libs/polygon/test/voronoi_structures_test.cpp
new file mode 100644
index 00000000..1693c317
--- /dev/null
+++ b/src/boost/libs/polygon/test/voronoi_structures_test.cpp
@@ -0,0 +1,150 @@
+// Boost.Polygon library voronoi_structures_test.cpp file
+
+//          Copyright Andrii Sydorchuk 2010-2012.
+// Distributed under 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)
+
+// See http://www.boost.org for updates, documentation, and revision history.
+
+#include <boost/core/lightweight_test.hpp>
+#include <boost/polygon/detail/voronoi_structures.hpp>
+#include <boost/polygon/voronoi_geometry_type.hpp>
+#include <functional>
+#include <vector>
+
+using namespace boost::polygon::detail;
+using namespace boost::polygon;
+
+typedef point_2d<int> point_type;
+typedef site_event<int> site_type;
+typedef circle_event<int> circle_type;
+typedef ordered_queue<int, std::greater<int> > ordered_queue_type;
+typedef beach_line_node_key<int> node_key_type;
+typedef beach_line_node_data<int, int> node_data_type;
+
+void point_2d_test1()
+{
+  point_type p(1, 2);
+  BOOST_TEST_EQ(1, p.x());
+  BOOST_TEST_EQ(2, p.y());
+  p.x(3);
+  BOOST_TEST_EQ(3, p.x());
+  p.y(4);
+  BOOST_TEST_EQ(4, p.y());
+}
+
+void site_event_test1()
+{
+  site_type s(1, 2);
+  s.sorted_index(1);
+  s.initial_index(2);
+  s.source_category(SOURCE_CATEGORY_SEGMENT_START_POINT);
+  BOOST_TEST_EQ(1, s.x0());
+  BOOST_TEST_EQ(1, s.x1());
+  BOOST_TEST_EQ(2, s.y0());
+  BOOST_TEST_EQ(2, s.y1());
+  BOOST_TEST(s.is_point());
+  BOOST_TEST(!s.is_segment());
+  BOOST_TEST(!s.is_inverse());
+  BOOST_TEST_EQ(1, s.sorted_index());
+  BOOST_TEST_EQ(2, s.initial_index());
+  BOOST_TEST_EQ(SOURCE_CATEGORY_SEGMENT_START_POINT, s.source_category());
+}
+
+void site_event_test2()
+{
+  site_type s(1, 2, 3, 4);
+  s.sorted_index(1);
+  s.initial_index(2);
+  s.source_category(SOURCE_CATEGORY_INITIAL_SEGMENT);
+  BOOST_TEST_EQ(1, s.x0());
+  BOOST_TEST_EQ(2, s.y0());
+  BOOST_TEST_EQ(3, s.x1());
+  BOOST_TEST_EQ(4, s.y1());
+  BOOST_TEST(!s.is_point());
+  BOOST_TEST(s.is_segment());
+  BOOST_TEST(!s.is_inverse());
+  BOOST_TEST_EQ(SOURCE_CATEGORY_INITIAL_SEGMENT, s.source_category());
+
+  s.inverse();
+  BOOST_TEST_EQ(3, s.x0());
+  BOOST_TEST_EQ(4, s.y0());
+  BOOST_TEST_EQ(1, s.x1());
+  BOOST_TEST_EQ(2, s.y1());
+  BOOST_TEST(s.is_inverse());
+  BOOST_TEST_EQ(SOURCE_CATEGORY_INITIAL_SEGMENT, s.source_category());
+}
+
+void circle_event_test()
+{
+  circle_type c(0, 1, 2);
+  BOOST_TEST_EQ(0, c.x());
+  BOOST_TEST_EQ(1, c.y());
+  BOOST_TEST_EQ(2, c.lower_x());
+  BOOST_TEST_EQ(1, c.lower_y());
+  BOOST_TEST(c.is_active());
+  c.x(3);
+  c.y(4);
+  c.lower_x(5);
+  BOOST_TEST_EQ(3, c.x());
+  BOOST_TEST_EQ(4, c.y());
+  BOOST_TEST_EQ(5, c.lower_x());
+  BOOST_TEST_EQ(4, c.lower_y());
+  c.deactivate();
+  BOOST_TEST(!c.is_active());
+}
+
+void ordered_queue_test()
+{
+  ordered_queue_type q;
+  BOOST_TEST(q.empty());
+  std::vector<int*> vi;
+  for (int i = 0; i < 20; ++i)
+    vi.push_back(&q.push(i));
+  for (int i = 0; i < 20; ++i)
+    *vi[i] <<= 1;
+  BOOST_TEST(!q.empty());
+  for (int i = 0; i < 20; ++i, q.pop())
+    BOOST_TEST_EQ(i << 1, q.top());
+  BOOST_TEST(q.empty());
+}
+
+void beach_line_node_key_test()
+{
+  node_key_type key(1);
+  BOOST_TEST_EQ(1, key.left_site());
+  BOOST_TEST_EQ(1, key.right_site());
+  key.left_site(2);
+  BOOST_TEST_EQ(2, key.left_site());
+  BOOST_TEST_EQ(1, key.right_site());
+  key.right_site(3);
+  BOOST_TEST_EQ(2, key.left_site());
+  BOOST_TEST_EQ(3, key.right_site());
+}
+
+void beach_line_node_data_test()
+{
+  node_data_type node_data(NULL);
+  BOOST_TEST(node_data.edge() == NULL);
+  BOOST_TEST(node_data.circle_event() == NULL);
+  int data = 4;
+  node_data.circle_event(&data);
+  BOOST_TEST(node_data.edge() == NULL);
+  BOOST_TEST(node_data.circle_event() == &data);
+  node_data.edge(&data);
+  BOOST_TEST(node_data.edge() == &data);
+  BOOST_TEST(node_data.circle_event() == &data);
+}
+
+int main()
+{
+    point_2d_test1();
+    site_event_test1();
+    site_event_test2();
+    circle_event_test();
+    ordered_queue_test();
+    beach_line_node_key_test();
+    beach_line_node_data_test();
+    return boost::report_errors();
+}
diff --git a/src/boost/libs/polygon/test/voronoi_test_helper.hpp b/src/boost/libs/polygon/test/voronoi_test_helper.hpp
new file mode 100644
index 00000000..61c4630a
--- /dev/null
+++ b/src/boost/libs/polygon/test/voronoi_test_helper.hpp
@@ -0,0 +1,260 @@
+// Boost.Polygon library voronoi_test_helper.hpp file
+
+//          Copyright Andrii Sydorchuk 2010-2011.
+// Distributed under 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)
+
+// See http://www.boost.org for updates, documentation, and revision history.
+
+#ifndef VORONOI_TEST_HELPER
+#define VORONOI_TEST_HELPER
+
+#include <boost/polygon/polygon.hpp>
+#include <algorithm>
+#include <iostream>
+#include <iterator>
+#include <fstream>
+#include <map>
+#include <vector>
+#include <utility>
+
+using namespace boost::polygon;
+
+namespace voronoi_test_helper {
+
+enum kOrientation {
+  RIGHT = -1,
+  COLLINEAR = 0,
+  LEFT = 1
+};
+
+template <typename VERTEX>
+kOrientation get_orientation(
+    const VERTEX& v1, const VERTEX& v2, const VERTEX& v3) {
+  typename VERTEX::coordinate_type lhs = (v2.x() - v1.x()) * (v3.y() - v2.y());
+  typename VERTEX::coordinate_type rhs = (v2.y() - v1.y()) * (v3.x() - v2.x());
+  if (lhs == rhs) {
+    return COLLINEAR;
+  }
+  return (lhs < rhs) ? RIGHT : LEFT;
+}
+
+template <typename OUTPUT>
+bool verify_cell_convexity(const OUTPUT& output) {
+  typename OUTPUT::const_cell_iterator cell_it;
+  for (cell_it = output.cells().begin();
+       cell_it != output.cells().end(); cell_it++) {
+    const typename OUTPUT::edge_type* edge = cell_it->incident_edge();
+    if (edge)
+      do {
+        if (edge->next()->prev() != edge) {
+          return false;
+        }
+        if (edge->cell() != &(*cell_it)) {
+          return false;
+        }
+        if (edge->vertex1() != edge->next()->vertex0()) {
+          return false;
+        }
+        if (edge->vertex0() != NULL &&
+            edge->vertex1() != NULL &&
+            edge->next()->vertex1() != NULL) {
+          if (get_orientation(*edge->vertex0(),
+                              *edge->vertex1(),
+                              *edge->next()->vertex1()) != LEFT) {
+            return false;
+          }
+        }
+        edge = edge->next();
+      } while (edge != cell_it->incident_edge());
+  }
+  return true;
+}
+
+template <typename OUTPUT>
+bool verify_incident_edges_ccw_order(const OUTPUT& output) {
+  typedef typename OUTPUT::edge_type voronoi_edge_type;
+  typename OUTPUT::const_vertex_iterator vertex_it;
+  for (vertex_it = output.vertices().begin();
+       vertex_it != output.vertices().end(); vertex_it++) {
+    if (vertex_it->is_degenerate())
+      continue;
+    const voronoi_edge_type* edge = vertex_it->incident_edge();
+    do {
+      const voronoi_edge_type* next_edge = edge->rot_next();
+      if (edge->vertex0() != next_edge->vertex0()) {
+        return false;
+      }
+      if (edge->vertex1() != NULL && next_edge->vertex1() != NULL &&
+          get_orientation(*edge->vertex1(),
+                          *edge->vertex0(),
+                          *next_edge->vertex1()) == LEFT) {
+        return false;
+      }
+      edge = edge->rot_next();
+    } while (edge != vertex_it->incident_edge());
+  }
+  return true;
+}
+
+template <typename VERTEX>
+struct cmp {
+  bool operator()(const VERTEX& v1, const VERTEX& v2) const {
+    if (v1.x() != v2.x())
+      return v1.x() < v2.x();
+    return v1.y() < v2.y();
+  }
+};
+
+template <typename Output>
+bool verfiy_no_line_edge_intersections(const Output &output) {
+  // Create map from edges with first point less than the second one.
+  // Key is the first point of the edge, value is a vector of second points
+  // with the same first point.
+  typedef typename Output::vertex_type vertex_type;
+  cmp<vertex_type> comparator;
+  std::map< vertex_type, std::vector<vertex_type>, cmp<vertex_type> > edge_map;
+  typename Output::const_edge_iterator edge_it;
+  for (edge_it = output.edges().begin();
+       edge_it != output.edges().end(); edge_it++) {
+    if (edge_it->is_finite()) {
+      if (comparator(*edge_it->vertex0(), *edge_it->vertex1())) {
+        edge_map[*edge_it->vertex0()].push_back(*edge_it->vertex1());
+      }
+    }
+  }
+  return !intersection_check(edge_map);
+}
+
+template <typename Point2D>
+bool intersection_check(
+    const std::map< Point2D, std::vector<Point2D>, cmp<Point2D> > &edge_map) {
+  // Iterate over map of edges and check if there are any intersections.
+  // All the edges are stored by the low x value. That's why we iterate
+  // left to right checking for intersections between all pairs of edges
+  // that overlap in the x dimension.
+  // Complexity. Approximately N*sqrt(N). Worst case N^2.
+  typedef Point2D point_type;
+  typedef typename point_type::coordinate_type coordinate_type;
+  typedef typename std::map<point_type, std::vector<point_type>, cmp<Point2D> >::const_iterator
+      edge_map_iterator;
+  typedef typename std::vector<point_type>::size_type size_type;
+  edge_map_iterator edge_map_it1, edge_map_it2, edge_map_it_bound;
+  for (edge_map_it1 = edge_map.begin();
+       edge_map_it1 != edge_map.end(); edge_map_it1++) {
+    const point_type &point1 = edge_map_it1->first;
+    for (size_type i = 0; i < edge_map_it1->second.size(); i++) {
+      const point_type &point2 = edge_map_it1->second[i];
+      coordinate_type min_y1 = (std::min)(point1.y(), point2.y());
+      coordinate_type max_y1 = (std::max)(point1.y(), point2.y());
+
+      // Find the first edge with greater or equal first point.
+      edge_map_it_bound = edge_map.lower_bound(point2);
+
+      edge_map_it2 = edge_map_it1;
+      edge_map_it2++;
+      for (; edge_map_it2 != edge_map_it_bound; edge_map_it2++) {
+        const point_type &point3 = edge_map_it2->first;
+        for (size_type j = 0; j < edge_map_it2->second.size(); j++) {
+          const point_type &point4 = edge_map_it2->second[j];
+          coordinate_type min_y2 = (std::min)(point3.y(), point4.y());
+          coordinate_type max_y2 = (std::max)(point3.y(), point4.y());
+
+          // In most cases it is enought to make
+          // simple intersection check in the y dimension.
+          if (!(max_y1 > min_y2 && max_y2 > min_y1))
+            continue;
+
+          // Intersection check.
+          if (get_orientation(point1, point2, point3) *
+              get_orientation(point1, point2, point4) == RIGHT &&
+              get_orientation(point3, point4, point1) *
+              get_orientation(point3, point4, point2) == RIGHT)
+            return true;
+        }
+      }
+    }
+  }
+  return false;
+}
+
+enum kVerification {
+  CELL_CONVEXITY = 1,
+  INCIDENT_EDGES_CCW_ORDER = 2,
+  NO_HALF_EDGE_INTERSECTIONS = 4,
+  FAST_VERIFICATION = 3,
+  COMPLETE_VERIFICATION = 7
+};
+
+template <typename Output>
+bool verify_output(const Output &output, kVerification mask) {
+  bool result = true;
+  if (mask & CELL_CONVEXITY)
+    result &= verify_cell_convexity(output);
+  if (mask & INCIDENT_EDGES_CCW_ORDER)
+    result &= verify_incident_edges_ccw_order(output);
+  if (mask & NO_HALF_EDGE_INTERSECTIONS)
+    result &= verfiy_no_line_edge_intersections(output);
+  return result;
+}
+
+template <typename PointIterator>
+void save_points(
+    PointIterator first, PointIterator last, const char* file_name) {
+  std::ofstream ofs(file_name);
+  ofs << std::distance(first, last) << std::endl;
+  for (PointIterator it = first; it != last; ++it) {
+    ofs << it->x() << " " << it->y() << std::endl;
+  }
+  ofs.close();
+}
+
+template <typename SegmentIterator>
+void save_segments(
+     SegmentIterator first, SegmentIterator last, const char* file_name) {
+  std::ofstream ofs(file_name);
+  ofs << std::distance(first, last) << std::endl;
+  for (SegmentIterator it = first; it != last; ++it) {
+    ofs << it->low().x() << " " << it->low().y() << " ";
+    ofs << it->high().x() << " " << it->high().y() << std::endl;
+  }
+  ofs.close();
+}
+
+template <typename T>
+void clean_segment_set(std::vector< segment_data<T> >& data) {
+  typedef T Unit;
+  typedef typename scanline_base<Unit>::Point Point;
+  typedef typename scanline_base<Unit>::half_edge half_edge;
+  typedef int segment_id;
+  std::vector<std::pair<half_edge, segment_id> > half_edges;
+  std::vector<std::pair<half_edge, segment_id> > half_edges_out;
+  segment_id id = 0;
+  half_edges.reserve(data.size());
+  for (typename std::vector< segment_data<T> >::iterator it = data.begin();
+       it != data.end(); ++it) {
+    Point l = it->low();
+    Point h = it->high();
+    half_edges.push_back(std::make_pair(half_edge(l, h), id++));
+  }
+  half_edges_out.reserve(half_edges.size());
+  // Apparently no need to pre-sort data when calling validate_scan.
+  line_intersection<Unit>::validate_scan(
+      half_edges_out, half_edges.begin(), half_edges.end());
+  std::vector< segment_data<T> > result;
+  result.reserve(half_edges_out.size());
+  for (std::size_t i = 0; i < half_edges_out.size(); ++i) {
+    id = half_edges_out[i].second;
+    Point l = half_edges_out[i].first.first;
+    Point h = half_edges_out[i].first.second;
+    segment_data<T> orig_seg = data[id];
+    if (orig_seg.high() < orig_seg.low())
+      std::swap(l, h);
+    result.push_back(segment_data<T>(l, h));
+  }
+  std::swap(result, data);
+}
+}  // voronoi_test_helper
+
+#endif
author	Daniel Baumann <daniel.baumann@progress-linux.org>	2024-04-27 18:24:20 +0000
committer	Daniel Baumann <daniel.baumann@progress-linux.org>	2024-04-27 18:24:20 +0000
commit	483eb2f56657e8e7f419ab1a4fab8dce9ade8609 (patch)
tree	e5d88d25d870d5dedacb6bbdbe2a966086a0a5cf /src/boost/libs/polygon
parent	Initial commit. (diff)
download	ceph-upstream.tar.xz ceph-upstream.zip