SuperSlicer/tests/libslic3r/test_voronoi.cpp

#include <catch2/catch.hpp>
#include <test_utils.hpp>

#include <libslic3r/Polygon.hpp>
#include <libslic3r/Polyline.hpp>
#include <libslic3r/EdgeGrid.hpp>
#include <libslic3r/Geometry.hpp>

#include <libslic3r/VoronoiOffset.hpp>

#include <numeric>

// #define VORONOI_DEBUG_OUT

#ifdef VORONOI_DEBUG_OUT
#include <libslic3r/VoronoiVisualUtils.hpp>
#endif

using boost::polygon::voronoi_builder;
using boost::polygon::voronoi_diagram;

using namespace Slic3r;

using VD = Slic3r::VoronoiDiagram;

// https://svn.boost.org/trac10/ticket/12067
// This bug seems to be confirmed.
// Vojtech supposes that there may be no Voronoi edges produced for
// the 1st and last sweep line positions.
TEST_CASE("Voronoi missing edges - points 12067", "[Voronoi]")
{
    Points pts {
        { -10, -20 },
        {  10, -20 },
        {   5,   0 },
        {  10,  20 },
        { -10,  20 },
        {  -5,   0 }
    };

    // Construction of the Voronoi Diagram.
    VD vd;
    construct_voronoi(pts.begin(), pts.end(), &vd);

#ifdef VORONOI_DEBUG_OUT
    dump_voronoi_to_svg(debug_out_path("voronoi-pts.svg").c_str(),
        vd, pts, Lines());
#endif

//    REQUIRE(closest_point.z() == Approx(1.));
}

// https://svn.boost.org/trac10/ticket/12707
// This issue is confirmed, there are no self intersections in the polygon.
// A minimal test case is created at the end of this test,
// a new issue opened with the minimal test case:
// https://github.com/boostorg/polygon/issues/43
TEST_CASE("Voronoi missing edges - Alessandro gapfill 12707", "[Voronoi]")
{
    Lines lines0 {
        { { 42127548,   699996}, { 42127548, 10135750 } },
        { { 42127548, 10135750}, { 50487352, 10135750 } },
        { { 50487352, 10135750}, { 50487352,   699995 } },
        { { 50487352,   699995}, { 51187348,        0 } },
        { { 51187348,        0}, { 64325952,        0 } },
        { { 64325952,        0}, { 64325952,   699996 } },
        { { 64325952,   699996}, { 51187348,   699996 } },
        { { 51187348,   699996}, { 51187348, 10835701 } },
        { { 51187348, 10835701}, { 41427552, 10835701 } },
        { { 41427552, 10835701}, { 41427552,   699996 } },
        { { 41427552,   699996}, { 28664848,   699996 } },
        { { 28664848,   699996}, { 28664848, 10835701 } },
        { { 28664848, 10835701}, { 19280052, 10835701 } },
        { { 19280052, 10835701}, { 27964852,   699996 } },
        { { 27964852,   699996}, { 28664848,        0 } },
        { { 28664848,        0}, { 41427551,        0 } },
        { { 41427551,        0}, { 42127548,   699996 } }
    };

    Lines lines1 {
        { { 42127548,   699996}, { 42127548, 10135750 } },
        { { 42127548, 10135750}, { 50487352, 10135750 } },
        { { 50487352, 10135750}, { 50487352,   699995 } },
        { { 50487352,   699995}, { 51187348,        0 } },
        { { 51187348,        0}, { 51187348, 10835701 } },
        { { 51187348, 10835701}, { 41427552, 10835701 } },
        { { 41427552, 10835701}, { 41427552,   699996 } },
        { { 41427552,   699996}, { 28664848,   699996 } },
        { { 28664848,   699996}, { 28664848, 10835701 } },
        { { 28664848, 10835701}, { 19280052, 10835701 } },
        { { 19280052, 10835701}, { 27964852,   699996 } },
        { { 27964852,   699996}, { 28664848,        0 } },
        { { 28664848,        0}, { 41427551,        0 } },
        { { 41427551,        0}, { 42127548,   699996 } }
    };

    Lines lines2 {
        { { 42127548,   699996}, { 42127548, 10135750 } },
        { { 42127548, 10135750}, { 50487352, 10135750 } },
        { { 50487352, 10135750}, { 50487352,   699995 } },
        { { 50487352,   699995}, { 51187348,        0 } },
        { { 51187348,        0}, { 51187348, 10835701 } },
        { { 51187348, 10835701}, { 41427552, 10835701 } },
        { { 41427552, 10835701}, { 41427552,   699996 } },
        { { 41427552,   699996}, { 28664848,   699996 } },
        { { 28664848,   699996}, { 28664848, 10835701 } },
        { { 28664848, 10835701}, { 19280052, 10835701 } },
        { { 19280052, 10835701}, { 28664848,        0 } },
        { { 28664848,        0}, { 41427551,        0 } },
        { { 41427551,        0}, { 42127548,   699996 } }
    };

    Lines lines3 {
        { { 42127548,   699996}, { 42127548, 10135750 } },
        { { 42127548, 10135750}, { 50487352, 10135750 } },
        { { 50487352, 10135750}, { 50487352,   699995 } },
        { { 50487352,   699995}, { 51187348,        0 } },
        { { 51187348,        0}, { 51187348, 10835701 } },
        { { 51187348, 10835701}, { 41427552, 10835701 } },
        { { 41427552, 10835701}, { 41427552,   699996 } },
        { { 41427552,   699996}, { 41427551,        0 } },
        { { 41427551,        0}, { 42127548,   699996 } }
    };

    Lines lines4 {
        { { 42127548,   699996}, { 42127548, 10135750 } },
        { { 42127548, 10135750}, { 50487352, 10135750 } },
        { { 50487352, 10135750}, { 50487352,   699995 } },
        { { 50487352,   699995}, { 51187348,        0 } },
        { { 51187348,        0}, { 51187348, 10835701 } },
        { { 51187348, 10835701}, { 41427552, 10835701 } },
        { { 41427552, 10835701}, { 41427551,        0 } },
        { { 41427551,        0}, { 42127548,   699996 } }
    };

    Lines lines = to_lines(Polygon {
        {       0, 10000000},
        {  700000,        1}, // it has to be 1, higher number, zero or -1 work.
        {  700000,  9000000},
        { 9100000,  9000000},
        { 9100000,        0},
        {10000000, 10000000}
        });

    Polygon poly;
    std::mt19937 gen;
    std::uniform_int_distribution<coord_t> dist(-100, 100);
    for (size_t i = 0; i < lines.size(); ++ i) {
      Line &l1 = lines[i];
      Line &l2 = lines[(i + 1) % lines.size()];
      REQUIRE(l1.b.x() == l2.a.x());
      REQUIRE(l1.b.y() == l2.a.y());
#if 0
      // Wiggle the points a bit to find out whether this fixes the voronoi diagram for this particular polygon.
      l1.b.x() = (l2.a.x() += dist(gen));
      l1.b.y() = (l2.a.y() += dist(gen));
#endif
      poly.points.emplace_back(l1.a);
    }

    REQUIRE(intersecting_edges({ poly }).empty());

    VD vd;
    construct_voronoi(lines.begin(), lines.end(), &vd);

#ifdef VORONOI_DEBUG_OUT
    dump_voronoi_to_svg(debug_out_path("voronoi-lines.svg").c_str(),
        vd, Points(), lines);
#endif
}

// https://svn.boost.org/trac10/ticket/12903
// division by zero reported, but this issue is most likely a non-issue, as it produces an infinity for the interval of validity
// of the floating point calculation, therefore forcing a recalculation with extended accuracy.
TEST_CASE("Voronoi division by zero 12903", "[Voronoi]")
{
    Points pts { { 1, 1 }, { 3, 1 }, { 1, 3 }, { 3, 3 },
                 { -1, 1 }, { 1, -1 }, { 5, 1 }, { 3, -1 },
                 { -1, 3 }, { 1, 5 }, { 5, 3 }, { 3, 5 } };
    {
        auto pts2 { pts };
        std::sort(pts2.begin(), pts2.end(), [](auto &l, auto &r) { return (l.x() == r.x()) ? l.y() < r.y() : l.x() < r.x(); });
        // No point removed -> no duplicate.
        REQUIRE(std::unique(pts2.begin(), pts2.end()) == pts2.end());
    }

    VD vd;
    construct_voronoi(pts.begin(), pts.end(), &vd);

#ifdef VORONOI_DEBUG_OUT
    // Scale the voronoi vertices and input points, so that the dump_voronoi_to_svg will display them correctly.
    for (auto &pt : vd.vertices()) {
        const_cast<double&>(pt.x()) = scale_(pt.x());
        const_cast<double&>(pt.y()) = scale_(pt.y());
    }
    for (auto &pt : pts)
        pt = Point::new_scale(pt.x(), pt.y());
    dump_voronoi_to_svg(debug_out_path("voronoi-div-by-zero.svg").c_str(), vd, pts, Lines());
#endif
}

// https://svn.boost.org/trac10/ticket/12139
// Funny sample from a dental industry?
// Vojtech confirms this test fails and rightly so, because the input data contain self intersections.
// This test is suppressed.
TEST_CASE("Voronoi NaN coordinates 12139", "[Voronoi][!hide][!mayfail]")
{
    Lines lines = {
        { {  260500,1564400 }, { 261040,1562960 } },
        { {  261040,1562960 }, { 260840,1561780 } },
        { {  260840,1561780 }, { 262620,1561480 } },
        { {  262620,1561480 }, { 263160,1561220 } },
        { {  263160,1561220 }, { 264100,1563259 } },
        { {  264100,1563259 }, { 262380,1566980 } },
        { {  262380,1566980 }, { 260500,1564400 } },
        { {  137520,1851640 }, { 132160,1851100 } },
        { {  132160,1851100 }, { 126460,1848779 } },
        { {  126460,1848779 }, { 123960,1847320 } },
        { {  123960,1847320 }, { 120960,1844559 } },
        { {  120960,1844559 }, { 119640,1843040 } },
        { {  119640,1843040 }, { 118320,1840900 } },
        { {  118320,1840900 }, { 117920,1838120 } },
        { {  117920,1838120 }, { 118219,1833340 } },
        { {  118219,1833340 }, { 116180,1835000 } },
        { {  116180,1835000 }, { 115999,1834820 } },
        { {  115999,1834820 }, { 114240,1836340 } },
        { {  114240,1836340 }, { 112719,1837260 } },
        { {  112719,1837260 }, { 109460,1838239 } },
        { {  109460,1838239 }, { 103639,1837480 } },
        { {  103639,1837480 }, { 99819,1835460 } },
        { {  99819,1835460 }, { 96320,1834260 } },
        { {  96320,1834260 }, { 95339,1834260 } },
        { {  95339,1834260 }, { 93660,1833720 } },
        { {  93660,1833720 }, { 90719,1833300 } },
        { {  90719,1833300 }, { 87860,1831660 } },
        { {  87860,1831660 }, { 84580,1830499 } },
        { {  84580,1830499 }, { 79780,1827419 } },
        { {  79780,1827419 }, { 76020,1824280 } },
        { {  76020,1824280 }, { 73680,1821180 } },
        { {  73680,1821180 }, { 72560,1818960 } },
        { {  72560,1818960 }, { 71699,1817719 } },
        { {  71699,1817719 }, { 70280,1814260 } },
        { {  70280,1814260 }, { 69460,1811060 } },
        { {  69460,1811060 }, { 69659,1807320 } },
        { {  69659,1807320 }, { 69640,1803300 } },
        { {  69640,1803300 }, { 69360,1799780 } },
        { {  69360,1799780 }, { 69320,1796720 } },
        { {  69320,1796720 }, { 69640,1793980 } },
        { {  69640,1793980 }, { 70160,1791780 } },
        { {  70160,1791780 }, { 72460,1784879 } },
        { {  72460,1784879 }, { 74420,1780780 } },
        { {  74420,1780780 }, { 76500,1772899 } },
        { {  76500,1772899 }, { 76760,1769359 } },
        { {  76760,1769359 }, { 76480,1766259 } },
        { {  76480,1766259 }, { 76839,1760360 } },
        { {  76839,1760360 }, { 77539,1756680 } },
        { {  77539,1756680 }, { 80540,1748140 } },
        { {  80540,1748140 }, { 84200,1742619 } },
        { {  84200,1742619 }, { 90900,1735220 } },
        { {  90900,1735220 }, { 94159,1732679 } },
        { {  94159,1732679 }, { 101259,1729559 } },
        { {  101259,1729559 }, { 107299,1727939 } },
        { {  107299,1727939 }, { 110979,1727919 } },
        { {  110979,1727919 }, { 113499,1727240 } },
        { {  113499,1727240 }, { 113619,1727359 } },
        { {  113619,1727359 }, { 114280,1727280 } },
        { {  114280,1727280 }, { 131440,1732560 } },
        { {  131440,1732560 }, { 118140,1727119 } },
        { {  118140,1727119 }, { 117120,1723759 } },
        { {  117120,1723759 }, { 113840,1720660 } },
        { {  113840,1720660 }, { 111399,1716760 } },
        { {  111399,1716760 }, { 109700,1712979 } },
        { {  109700,1712979 }, { 108879,1708400 } },
        { {  108879,1708400 }, { 108060,1696360 } },
        { {  108060,1696360 }, { 110040,1687760 } },
        { {  110040,1687760 }, { 112140,1682480 } },
        { {  112140,1682480 }, { 112540,1681780 } },
        { {  112540,1681780 }, { 115260,1678320 } },
        { {  115260,1678320 }, { 118720,1675320 } },
        { {  118720,1675320 }, { 126100,1670980 } },
        { {  126100,1670980 }, { 132400,1668080 } },
        { {  132400,1668080 }, { 136700,1667440 } },
        { {  136700,1667440 }, { 142440,1667159 } },
        { {  142440,1667159 }, { 143340,1666720 } },
        { {  143340,1666720 }, { 138679,1661319 } },
        { {  138679,1661319 }, { 137240,1657480 } },
        { {  137240,1657480 }, { 136760,1650739 } },
        { {  136760,1650739 }, { 136780,1647339 } },
        { {  136780,1647339 }, { 135940,1644280 } },
        { {  135940,1644280 }, { 136000,1640820 } },
        { {  136000,1640820 }, { 135480,1638020 } },
        { {  135480,1638020 }, { 137060,1634220 } },
        { {  137060,1634220 }, { 136320,1631340 } },
        { {  136320,1631340 }, { 134620,1629700 } },
        { {  134620,1629700 }, { 132460,1628199 } },
        { {  132460,1628199 }, { 132299,1627860 } },
        { {  132299,1627860 }, { 138360,1618020 } },
        { {  138360,1618020 }, { 142440,1611859 } },
        { {  142440,1611859 }, { 143180,1611299 } },
        { {  143180,1611299 }, { 144000,1611259 } },
        { {  144000,1611259 }, { 145960,1612540 } },
        { {  145960,1612540 }, { 146720,1613700 } },
        { {  146720,1613700 }, { 147700,1613539 } },
        { {  147700,1613539 }, { 148520,1614039 } },
        { {  148520,1614039 }, { 149840,1613740 } },
        { {  149840,1613740 }, { 150620,1614079 } },
        { {  150620,1614079 }, { 154760,1612740 } },
        { {  154760,1612740 }, { 159000,1608420 } },
        { {  159000,1608420 }, { 161120,1606780 } },
        { {  161120,1606780 }, { 164060,1605139 } },
        { {  164060,1605139 }, { 168079,1603620 } },
        { {  168079,1603620 }, { 170240,1603400 } },
        { {  170240,1603400 }, { 172400,1603499 } },
        { {  172400,1603499 }, { 194440,1613740 } },
        { {  194440,1613740 }, { 195880,1616460 } },
        { {  195880,1616460 }, { 197060,1618140 } },
        { {  197060,1618140 }, { 198039,1617860 } },
        { {  198039,1617860 }, { 198739,1618900 } },
        { {  198739,1618900 }, { 200259,1619200 } },
        { {  200259,1619200 }, { 201940,1618920 } },
        { {  201940,1618920 }, { 201700,1617139 } },
        { {  201700,1617139 }, { 203860,1618179 } },
        { {  203860,1618179 }, { 203500,1617540 } },
        { {  203500,1617540 }, { 205000,1616579 } },
        { {  205000,1616579 }, { 206780,1615020 } },
        { {  206780,1615020 }, { 210159,1614059 } },
        { {  210159,1614059 }, { 217080,1611080 } },
        { {  217080,1611080 }, { 219200,1611579 } },
        { {  219200,1611579 }, { 223219,1610980 } },
        { {  223219,1610980 }, { 224580,1610540 } },
        { {  224580,1610540 }, { 227460,1611440 } },
        { {  227460,1611440 }, { 229359,1611859 } },
        { {  229359,1611859 }, { 230620,1612580 } },
        { {  230620,1612580 }, { 232340,1614460 } },
        { {  232340,1614460 }, { 232419,1617040 } },
        { {  232419,1617040 }, { 231740,1619480 } },
        { {  231740,1619480 }, { 231880,1624899 } },
        { {  231880,1624899 }, { 231540,1625820 } },
        { {  231540,1625820 }, { 231700,1627079 } },
        { {  231700,1627079 }, { 231320,1628239 } },
        { {  231320,1628239 }, { 231420,1636080 } },
        { {  231420,1636080 }, { 231099,1637200 } },
        { {  231099,1637200 }, { 228660,1643280 } },
        { {  228660,1643280 }, { 227699,1644960 } },
        { {  227699,1644960 }, { 226080,1651140 } },
        { {  226080,1651140 }, { 225259,1653420 } },
        { {  225259,1653420 }, { 225159,1655399 } },
        { {  225159,1655399 }, { 223760,1659260 } },
        { {  223760,1659260 }, { 219860,1666360 } },
        { {  219860,1666360 }, { 219180,1667220 } },
        { {  219180,1667220 }, { 212580,1673680 } },
        { {  212580,1673680 }, { 207880,1676460 } },
        { {  207880,1676460 }, { 205560,1677560 } },
        { {  205560,1677560 }, { 199700,1678920 } },
        { {  199700,1678920 }, { 195280,1679420 } },
        { {  195280,1679420 }, { 193939,1679879 } },
        { {  193939,1679879 }, { 188780,1679440 } },
        { {  188780,1679440 }, { 188100,1679639 } },
        { {  188100,1679639 }, { 186680,1679339 } },
        { {  186680,1679339 }, { 184760,1679619 } },
        { {  184760,1679619 }, { 183520,1681440 } },
        { {  183520,1681440 }, { 183860,1682200 } },
        { {  183860,1682200 }, { 186620,1686120 } },
        { {  186620,1686120 }, { 190380,1688380 } },
        { {  190380,1688380 }, { 192780,1690739 } },
        { {  192780,1690739 }, { 195860,1694839 } },
        { {  195860,1694839 }, { 196620,1696539 } },
        { {  196620,1696539 }, { 197540,1701819 } },
        { {  197540,1701819 }, { 198939,1705699 } },
        { {  198939,1705699 }, { 198979,1711819 } },
        { {  198979,1711819 }, { 198240,1716900 } },
        { {  198240,1716900 }, { 197440,1720139 } },
        { {  197440,1720139 }, { 195340,1724639 } },
        { {  195340,1724639 }, { 194040,1726140 } },
        { {  194040,1726140 }, { 192559,1728239 } },
        { {  192559,1728239 }, { 187780,1732339 } },
        { {  187780,1732339 }, { 182519,1735520 } },
        { {  182519,1735520 }, { 181239,1736140 } },
        { {  181239,1736140 }, { 177340,1737619 } },
        { {  177340,1737619 }, { 175439,1738140 } },
        { {  175439,1738140 }, { 171380,1738880 } },
        { {  171380,1738880 }, { 167860,1739059 } },
        { {  167860,1739059 }, { 166040,1738920 } },
        { {  166040,1738920 }, { 163680,1738539 } },
        { {  163680,1738539 }, { 157660,1736859 } },
        { {  157660,1736859 }, { 154900,1735460 } },
        { {  154900,1735460 }, { 151420,1735159 } },
        { {  151420,1735159 }, { 142100,1736160 } },
        { {  142100,1736160 }, { 140880,1735920 } },
        { {  140880,1735920 }, { 142820,1736859 } },
        { {  142820,1736859 }, { 144080,1737240 } },
        { {  144080,1737240 }, { 144280,1737460 } },
        { {  144280,1737460 }, { 144239,1738120 } },
        { {  144239,1738120 }, { 144980,1739420 } },
        { {  144980,1739420 }, { 146340,1741039 } },
        { {  146340,1741039 }, { 147160,1741720 } },
        { {  147160,1741720 }, { 154260,1745800 } },
        { {  154260,1745800 }, { 156560,1746879 } },
        { {  156560,1746879 }, { 165180,1752679 } },
        { {  165180,1752679 }, { 168240,1755860 } },
        { {  168240,1755860 }, { 170940,1759260 } },
        { {  170940,1759260 }, { 173440,1762079 } },
        { {  173440,1762079 }, { 174540,1764079 } },
        { {  174540,1764079 }, { 176479,1766640 } },
        { {  176479,1766640 }, { 178900,1768960 } },
        { {  178900,1768960 }, { 180819,1772780 } },
        { {  180819,1772780 }, { 181479,1776859 } },
        { {  181479,1776859 }, { 181660,1788499 } },
        { {  181660,1788499 }, { 181460,1791740 } },
        { {  181460,1791740 }, { 181160,1792840 } },
        { {  181160,1792840 }, { 179580,1797180 } },
        { {  179580,1797180 }, { 174620,1808960 } },
        { {  174620,1808960 }, { 174100,1809839 } },
        { {  174100,1809839 }, { 171660,1812419 } },
        { {  171660,1812419 }, { 169639,1813840 } },
        { {  169639,1813840 }, { 168880,1814720 } },
        { {  168880,1814720 }, { 168960,1815980 } },
        { {  168960,1815980 }, { 169979,1819160 } },
        { {  169979,1819160 }, { 170080,1820159 } },
        { {  170080,1820159 }, { 168280,1830540 } },
        { {  168280,1830540 }, { 167580,1832200 } },
        { {  167580,1832200 }, { 165679,1835720 } },
        { {  165679,1835720 }, { 164720,1836819 } },
        { {  164720,1836819 }, { 161840,1841740 } },
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        { {  140060,1927899 }, { 136960,1929019 } },
        { {  136960,1929019 }, { 136680,1926960 } },
        { {  627100,1941519 }, { 625120,1940060 } },
        { {  625120,1940060 }, { 614580,1934680 } },
        { {  614580,1934680 }, { 608780,1929319 } },
        { {  608780,1929319 }, { 607400,1927679 } },
        { {  607400,1927679 }, { 606160,1925920 } },
        { {  606160,1925920 }, { 604480,1922240 } },
        { {  604480,1922240 }, { 602420,1916819 } },
        { {  602420,1916819 }, { 602279,1915260 } },
        { {  602279,1915260 }, { 602880,1907960 } },
        { {  602880,1907960 }, { 604140,1902719 } },
        { {  604140,1902719 }, { 605880,1898539 } },
        { {  605880,1898539 }, { 606640,1897399 } },
        { {  606640,1897399 }, { 609680,1894420 } },
        { {  609680,1894420 }, { 611099,1893640 } },
        { {  611099,1893640 }, { 616099,1890340 } },
        { {  616099,1890340 }, { 617520,1889160 } },
        { {  617520,1889160 }, { 620220,1885540 } },
        { {  620220,1885540 }, { 624480,1882260 } },
        { {  624480,1882260 }, { 628660,1880280 } },
        { {  628660,1880280 }, { 632520,1879659 } },
        { {  632520,1879659 }, { 637760,1879859 } },
        { {  637760,1879859 }, { 640899,1881500 } },
        { {  640899,1881500 }, { 644220,1883980 } },
        { {  644220,1883980 }, { 643900,1890860 } },
        { {  643900,1890860 }, { 643060,1894160 } },
        { {  643060,1894160 }, { 642459,1900320 } },
        { {  642459,1900320 }, { 642400,1903120 } },
        { {  642400,1903120 }, { 643819,1908519 } },
        { {  643819,1908519 }, { 644700,1912560 } },
        { {  644700,1912560 }, { 644640,1916380 } },
        { {  644640,1916380 }, { 644959,1918600 } },
        { {  644959,1918600 }, { 642540,1925620 } },
        { {  642540,1925620 }, { 642439,1926640 } },
        { {  642439,1926640 }, { 641860,1928300 } },
        { {  641860,1928300 }, { 638700,1932939 } },
        { {  638700,1932939 }, { 634820,1934200 } },
        { {  634820,1934200 }, { 631980,1936539 } },
        { {  631980,1936539 }, { 630160,1940600 } },
        { {  630160,1940600 }, { 627740,1941640 } },
        { {  627740,1941640 }, { 627400,1941660 } },
        { {  627400,1941660 }, { 627100,1941519 } }
    };

#if 0
    // Verify whether two any two non-neighbor line segments intersect. They should not, otherwise the Voronoi builder
    // is not guaranteed to succeed.
    for (size_t i = 0; i < lines.size(); ++ i)
        for (size_t j = i + 1; j < lines.size(); ++ j) {
            Point &ip1 = lines[i].a;
            Point &ip2 = lines[i].b;
            Point &jp1 = lines[j].a;
            Point &jp2 = lines[j].b;
            if (&ip1 != &jp2 && &jp1 != &ip2) {
                REQUIRE(! Slic3r::Geometry::segments_intersect(ip1, ip2, jp1, jp2));
            }
        }
#endif

    VD vd;
    construct_voronoi(lines.begin(), lines.end(), &vd);

    for (const auto& edge : vd.edges())
        if (edge.is_finite()) {
            auto v0 = edge.vertex0();
            auto v1 = edge.vertex1();
            REQUIRE((v0->x() == 0 || std::isnormal(v0->x())));
            REQUIRE((v0->y() == 0 || std::isnormal(v0->y())));
            REQUIRE((v1->x() == 0 || std::isnormal(v1->x())));
            REQUIRE((v1->y() == 0 || std::isnormal(v1->y())));
        }

#ifdef VORONOI_DEBUG_OUT
    dump_voronoi_to_svg(debug_out_path("voronoi-NaNs.svg").c_str(),
        vd, Points(), lines, Polygons(), Lines(), 0.015);
#endif
}

struct OffsetTest {
    double distance;
    size_t num_outer;
    size_t num_inner;
};

TEST_CASE("Voronoi offset", "[VoronoiOffset]")
{
  Polygons poly_with_hole = { Polygon {
        {       0, 10000000},
        {  700000,        0},
        {  700000,  9000000},
        { 9100000,  9000000},
        { 9100000,        0},
        {10000000, 10000000}
        }
  };

  double area = std::accumulate(poly_with_hole.begin(), poly_with_hole.end(), 0., [](double a, auto &poly){ return a + poly.area(); });
  REQUIRE(area > 0.);

  VD vd;
  Lines lines = to_lines(poly_with_hole);
  construct_voronoi(lines.begin(), lines.end(), &vd);

  for (const OffsetTest &ot : {
            OffsetTest { scale_(0.2), 1, 1 },
            OffsetTest { scale_(0.4), 1, 1 },
            OffsetTest { scale_(0.5), 1, 1 },
            OffsetTest { scale_(0.505), 1, 2 },
            OffsetTest { scale_(0.51), 1, 2 },
            OffsetTest { scale_(0.52), 1, 1 },
            OffsetTest { scale_(0.53), 1, 1 },
            OffsetTest { scale_(0.54), 1, 1 },
            OffsetTest { scale_(0.55), 1, 0 }
      }) {

      Polygons offsetted_polygons_out = voronoi_offset(vd, lines, ot.distance, scale_(0.005));
      REQUIRE(offsetted_polygons_out.size() == ot.num_outer);

#ifdef VORONOI_DEBUG_OUT
      dump_voronoi_to_svg(debug_out_path("voronoi-offset-out-%lf.svg", ot.distance).c_str(),
          vd, Points(), lines, offsetted_polygons_out);
#endif

      Polygons offsetted_polygons_in = voronoi_offset(vd, lines, - ot.distance, scale_(0.005));
      REQUIRE(offsetted_polygons_in.size() == ot.num_inner);

#ifdef VORONOI_DEBUG_OUT
      dump_voronoi_to_svg(debug_out_path("voronoi-offset-in-%lf.svg", ot.distance).c_str(),
          vd, Points(), lines, offsetted_polygons_in);
#endif
  }
}

TEST_CASE("Voronoi offset 2", "[VoronoiOffset]")
{
    coord_t mm = coord_t(scale_(1.));
    Polygons poly = {
        Polygon {
            { 0, 0 },
            { 1, 0 },
            { 1, 1 },
            { 2, 1 },
            { 2, 0 },
            { 3, 0 },
            { 3, 2 },
            { 0, 2 }
        },
        Polygon {
            { 0, - 1 - 2 },
            { 3, - 1 - 2 },
            { 3, - 1 - 0 },
            { 2, - 1 - 0 },
            { 2, - 1 - 1 },
            { 1, - 1 - 1 },
            { 1, - 1 - 0 },
            { 0, - 1 - 0 }
        },
    };
    for (Polygon &p : poly)
        for (Point &pt : p.points)
            pt *= mm;

  double area = std::accumulate(poly.begin(), poly.end(), 0., [](double a, auto &poly){ return a + poly.area(); });
  REQUIRE(area > 0.);

  VD vd;
  Lines lines = to_lines(poly);
  construct_voronoi(lines.begin(), lines.end(), &vd);

  for (const OffsetTest &ot : {
            OffsetTest { scale_(0.2), 2, 2 },
            OffsetTest { scale_(0.4), 2, 2 },
            OffsetTest { scale_(0.45), 2, 2 },
            OffsetTest { scale_(0.48), 2, 2 },
//FIXME Exact intersections of an Offset curve with any Voronoi vertex are not handled correctly yet.
//            OffsetTest { scale_(0.5), 2, 2 },
            OffsetTest { scale_(0.505), 2, 4 },
            OffsetTest { scale_(0.7), 2, 0 },
            OffsetTest { scale_(0.8), 1, 0 }
      }) {

      Polygons offsetted_polygons_out = voronoi_offset(vd, lines, ot.distance, scale_(0.005));
#ifdef VORONOI_DEBUG_OUT
      dump_voronoi_to_svg(debug_out_path("voronoi-offset2-out-%lf.svg", ot.distance).c_str(),
          vd, Points(), lines, offsetted_polygons_out);
#endif
      REQUIRE(offsetted_polygons_out.size() == ot.num_outer);

      Polygons offsetted_polygons_in = voronoi_offset(vd, lines, - ot.distance, scale_(0.005));
#ifdef VORONOI_DEBUG_OUT
      dump_voronoi_to_svg(debug_out_path("voronoi-offset2-in-%lf.svg", ot.distance).c_str(),
          vd, Points(), lines, offsetted_polygons_in);
#endif
      REQUIRE(offsetted_polygons_in.size() == ot.num_inner);
  }
}

TEST_CASE("Voronoi offset 3", "[VoronoiOffset]")
{
    coord_t mm = coord_t(scale_(1.));
    Polygons poly = {
        Polygon {
            { 0, 0 },
            { 2, 0 },
            { 2, 1 },
            { 3, 1 },
            { 3, 0 },
            { 5, 0 },
            { 5, 2 },
            { 4, 2 },
            { 4, 3 },
            { 1, 3 },
            { 1, 2 },
            { 0, 2 }
        },
        Polygon {
            { 0, -1 - 2 },
            { 1, -1 - 2 },
            { 1, -1 - 3 },
            { 4, -1 - 3 },
            { 4, -1 - 2 },
            { 5, -1 - 2 },
            { 5, -1 - 0 },
            { 3, -1 - 0 },
            { 3, -1 - 1 },
            { 2, -1 - 1 },
            { 2, -1 - 0 },
            { 0, -1 - 0 }
        },
    };
    for (Polygon &p : poly) {
        REQUIRE(p.area() > 0.);
        for (Point &pt : p.points)
            pt *= mm;
    }

  VD vd;
  Lines lines = to_lines(poly);
  construct_voronoi(lines.begin(), lines.end(), &vd);

  for (const OffsetTest &ot : {
            OffsetTest { scale_(0.2), 2, 2 },
            OffsetTest { scale_(0.4), 2, 2 },
            OffsetTest { scale_(0.49), 2, 2 },
//FIXME this fails
//            OffsetTest { scale_(0.5), 2, 2 },
            OffsetTest { scale_(0.51), 2, 2 },
            OffsetTest { scale_(0.56), 2, 2 },
            OffsetTest { scale_(0.6), 2, 2 },
            OffsetTest { scale_(0.7), 2, 2 },
            OffsetTest { scale_(0.8), 1, 6 },
            OffsetTest { scale_(0.9), 1, 6 },
            OffsetTest { scale_(0.99), 1, 6 },
//FIXME this fails
//            OffsetTest { scale_(1.0), 1, 6 },
            OffsetTest { scale_(1.01), 1, 0 },
      }) {

      Polygons offsetted_polygons_out = voronoi_offset(vd, lines, ot.distance, scale_(0.005));
#ifdef VORONOI_DEBUG_OUT
      dump_voronoi_to_svg(debug_out_path("voronoi-offset2-out-%lf.svg", ot.distance).c_str(),
          vd, Points(), lines, offsetted_polygons_out);
#endif
      REQUIRE(offsetted_polygons_out.size() == ot.num_outer);

      Polygons offsetted_polygons_in = voronoi_offset(vd, lines, - ot.distance, scale_(0.005));
#ifdef VORONOI_DEBUG_OUT
      dump_voronoi_to_svg(debug_out_path("voronoi-offset2-in-%lf.svg", ot.distance).c_str(),
          vd, Points(), lines, offsetted_polygons_in);
#endif
      REQUIRE(offsetted_polygons_in.size() == ot.num_inner);
  }
}