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PrusaSlicer-NonPlainar/tests/libslic3r/test_voronoi.cpp

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#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/Geometry/VoronoiUtilsCgal.hpp"
#include <libslic3r/Geometry/VoronoiOffset.hpp>
#include <libslic3r/Geometry/VoronoiVisualUtils.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 = Geometry::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 }
};
#if 0
for (Point &p : pts) {
Vec2d q = p.cast<double>();
p.x() = scale_(p.x());
p.y() = scale_(p.y());
}
#endif
#if 0
// Try to rotate, maybe the issue is caused by incorrect handling of vertical or horizontal edges?
double a = 0.18764587962597876897475f;
double c = cos(a);
double s = sin(a);
for (Point &p : poly.points) {
Vec2d q = p.cast<double>();
p.x() = coord_t(q.x() * c + q.y() * s + 0.5);
p.y() = coord_t(- q.x() * s + q.y() * c + 0.5);
}
#endif
// 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 } }
};
Polygon poly {
{ 0, 10000000},
{ 700000, 1}, // it has to be 1, higher number, zero or -1 work.
{ 700000, 9000000},
{ 9100000, 9000000},
{ 9100000, 0},
{10000000, 10000000}
};
#if 1
// Try to rotate, maybe the issue is caused by incorrect handling of vertical or horizontal edges?
double a = 0.18764587962597876897475f;
double c = cos(a);
double s = sin(a);
for (Point &p : poly.points) {
Vec2d q = p.cast<double>();
p.x() = coord_t(q.x() * c + q.y() * s + 0.5);
p.y() = coord_t(- q.x() * s + q.y() * c + 0.5);
}
#endif
std::mt19937 gen;
std::uniform_int_distribution<coord_t> dist(-100, 100);
#if 0
for (Point &p : poly.points) {
// Wiggle the points a bit to find out whether this fixes the voronoi diagram for this particular polygon.
p.x() = (p.x() += dist(gen));
p.y() = (p.y() += dist(gen));
}
#endif
REQUIRE(intersecting_edges({ poly }).empty());
Lines lines = to_lines(poly);
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
}
TEST_CASE("Voronoi weirdness", "[Voronoi]")
{
Polygon poly2 {
{ 0, 0 },
{ 70000000, 0 },
{ 70000000, 1300000 },
// { 70000001, 14000000 }
{ 70700000, 14000000 }
};
Polygon poly5 {
{ 35058884, -25732145 },
{ 35058884, -19586070 },
{ 32753739, -20246796 },
{ 28756244, -21010725 },
{ 24657532, -21657939 },
{ 20836260, -21960233 },
{ 16115145, -22070742 },
{ 11850152, -21839761 },
{ 7646240, -21470177 },
{ 3607605, -20786940 },
{ 1280947, -20329742 },
{ -292823, -19963790 },
{ -3844469, -18809741 },
{ -7237277, -17593723 },
{ -10225900, -16143761 },
{ -13030266, -14643721 },
{ -15404294, -12977561 },
{ -17601713, -11280712 },
{ -19241930, -9435607 },
{ -20714420, -7583739 },
{ -21726144, -5664355 },
{ -22579294, -3741947 },
{ -22966684, -1786321 },
{ -23200322, 170140 },
{ -22966684, 2126602 },
{ -22579296, 4082227 },
{ -21726148, 6004637 },
{ -20714424, 7924020 },
{ -19241932, 9775888 },
{ -17601717, 11620994 },
{ -15404423, 13317749 },
{ -13030276, 14984003 },
{ -10225910, 16484042 },
{ -7237288, 17934005 },
{ -3844482, 19150025 },
{ -292841, 20304074 },
{ 1280949, 20670031 },
{ 3607587, 21127226 },
{ 7646218, 21810465 },
{ 11850128, 22180055 },
{ 16115122, 22411036 },
{ 20836263, 22300531 },
{ 24657513, 21998239 },
{ 28756227, 21351025 },
{ 32753725, 20587092 },
{ 35058893, 19926309 },
{ 35058893, 35000000 },
{ -31657232, 35000000 },
{ -31657202, -35000000 },
{ 35058881, -35000000 }
};
Polygon poly7 {
{ 35058884, -25732145 },
{ 35058884, -19586070 },
{ -31657202, -35000000 },
{ 35058881, -35000000 }
};
// coord_t shift = 35058881;
// coord_t shift_ok = 17000000;
coord_t shift = 35058881;
Polygon poly {
// <-4, 0>: bug
// -5: ok
// 1 - ok
{ 0 + shift, -35000000 },
{ 0 + shift, -25732145 },
{ 0 + shift, -19586070 },
{ -66716086 + shift, -35000000 }
};
REQUIRE(intersecting_edges({ poly }).empty());
REQUIRE(poly.area() > 0.);
#if 0
// Try to rotate, maybe the issue is caused by incorrect handling of vertical or horizontal edges?
double a = 0.18764587962597876897475f;
double c = cos(a);
double s = sin(a);
for (Point &p : poly.points) {
Vec2d q = p.cast<double>();
p.x() = coord_t(q.x() * c + q.y() * s + 0.5);
p.y() = coord_t(- q.x() * s + q.y() * c + 0.5);
}
#endif
VD vd;
Lines lines = to_lines(poly);
construct_voronoi(lines.begin(), lines.end(), &vd);
#ifdef VORONOI_DEBUG_OUT
dump_voronoi_to_svg(debug_out_path("voronoi-weirdness.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 } },
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{ { 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, 2 },
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 }
}) {
#if 0
Polygons offsetted_polygons_out = Slic3r::Voronoi::offset(vd, lines, ot.distance, scale_(0.005));
#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
REQUIRE(offsetted_polygons_out.size() == ot.num_outer);
#endif
Polygons offsetted_polygons_in = Slic3r::Voronoi::offset(vd, lines, - ot.distance, scale_(0.005));
#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
REQUIRE(offsetted_polygons_in.size() == ot.num_inner);
}
}
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 },
OffsetTest { scale_(0.5), 2, 4 },
OffsetTest { scale_(0.505), 2, 4 },
OffsetTest { scale_(0.7), 2, 0 },
OffsetTest { scale_(0.8), 1, 0 }
}) {
Polygons offsetted_polygons_out = Slic3r::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 = Slic3r::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 },
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 },
OffsetTest { scale_(1.0), 1, 0 },
OffsetTest { scale_(1.01), 1, 0 },
}) {
Polygons offsetted_polygons_out = Slic3r::Voronoi::offset(vd, lines, ot.distance, scale_(0.005));
#ifdef VORONOI_DEBUG_OUT
dump_voronoi_to_svg(debug_out_path("voronoi-offset3-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 = Slic3r::Voronoi::offset(vd, lines, - ot.distance, scale_(0.005));
#ifdef VORONOI_DEBUG_OUT
dump_voronoi_to_svg(debug_out_path("voronoi-offset3-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 with edge collapse", "[VoronoiOffset4]")
{
Polygons poly
{
// Outer contour
{
{ 434890, -64754575 },
{ 541060, -64669076 },
{ 585647, -64583538 },
{ 576999, -64484233 },
{ 485666, -64191173 },
{ 1029323, -63646261 },
{ 1416925, -63666243 },
{ 1541532, -63643075 },
{ 1541535, -63643075 },
{ 1541535, -63643074 },
{ 1552612, -63641015 },
{ 1631609, -63568270 },
{ 1678393, -63443639 },
{ 1725519, -63219942 },
{ 1770552, -62903321 },
{ 1742544, -62755934 },
{ 1758152, -62588378 },
{ 1702289, -62474826 },
{ 1638627, -62242058 },
{ 1671281, -61938568 },
{ 1792676, -61478332 },
{ 1934894, -60760597 },
{ 2160333, -60064089 },
{ 2638183, -58972890 },
{ 2933095, -58478536 },
{ 3173586, -58159527 },
{ 3557779, -57556727 },
{ 3707088, -57158174 },
{ 3758053, -56907139 },
{ 3935932, -56278649 },
{ 4077331, -56033426 },
{ 4151386, -55768739 },
{ 4293796, -55561683 },
{ 4383089, -55387391 },
{ 4614128, -55201443 },
{ 5268755, -54333831 },
{ 5547634, -53797296 },
{ 5573864, -53639250 },
{ 5736812, -53304157 },
{ 6090973, -52066302 },
{ 6148630, -51666664 },
{ 6189511, -50974991 },
{ 6244112, -50774489 },
{ 6302489, -50761556 },
{ 6511179, -50579861 },
{ 6778128, -50398667 },
{ 6896879, -50350264 },
{ 7388259, -49913262 },
{ 7630584, -49602449 },
{ 7886846, -48987881 },
{ 7871333, -48318666 },
{ 7770349, -47841179 },
{ 7570223, -47234733 },
{ 7283115, -46705503 },
{ 6842948, -46056539 },
{ 6612732, -45760004 },
{ 6150430, -44991494 },
{ 5564326, -44168114 },
{ 5193032, -43807544 },
{ 4932097, -43489047 },
{ 3857385, -42548846 },
{ 3764745, -42081468 },
{ 3539887, -41422273 },
{ 3283048, -40803856 },
{ 3005925, -40367981 },
{ 3136185, -39834533 },
{ 3333757, -38499972 },
{ 3360660, -38183895 },
{ 3353375, -38036005 },
{ 3398808, -37582504 },
{ 3604229, -37221781 },
{ 3698079, -36962934 },
{ 4000449, -36007804 },
{ 4256811, -35016707 },
{ 4405951, -34581428 },
{ 4364534, -34178439 },
{ 4124603, -33432250 },
{ 3806159, -32765167 },
{ 3359088, -32109020 },
{ 2880790, -31317192 },
{ 1548334, -30402139 },
{ -7, -30131023 },
{ -1548347, -30402139 },
{ -2880803, -31317189 },
{ -3359100, -32109018 },
{ -3806173, -32765166 },
{ -4124617, -33432248 },
{ -4364548, -34178436 },
{ -4405966, -34581423 },
{ -4256825, -35016707 },
{ -4000461, -36007800 },
{ -3698093, -36962933 },
{ -3604243, -37221781 },
{ -3398823, -37582501 },
{ -3353390, -38036003 },
{ -3360675, -38183892 },
{ -3333772, -38499972 },
{ -3136200, -39834530 },
{ -3005940, -40367980 },
{ -3283062, -40803852 },
{ -3539902, -41422273 },
{ -3764761, -42081468 },
{ -3857402, -42548846 },
{ -4932112, -43489047 },
{ -5193047, -43807544 },
{ -5564341, -44168114 },
{ -6150446, -44991494 },
{ -6612748, -45760000 },
{ -6842965, -46056536 },
{ -7283130, -46705503 },
{ -7570238, -47234733 },
{ -7770365, -47841179 },
{ -7871349, -48318666 },
{ -7886860, -48987873 },
{ -7630599, -49602451 },
{ -7388277, -49913260 },
{ -6896896, -50350264 },
{ -6778145, -50398667 },
{ -6511196, -50579862 },
{ -6302504, -50761557 },
{ -6244127, -50774488 },
{ -6189527, -50974989 },
{ -6148648, -51666664 },
{ -6090990, -52066302 },
{ -5736829, -53304157 },
{ -5573882, -53639250 },
{ -5547651, -53797296 },
{ -5268772, -54333831 },
{ -4614145, -55201443 },
{ -4383106, -55387389 },
{ -4293814, -55561683 },
{ -4151404, -55768739 },
{ -4077350, -56033423 },
{ -3935952, -56278647 },
{ -3758072, -56907137 },
{ -3707107, -57158170 },
{ -3557796, -57556727 },
{ -3173605, -58159527 },
{ -2933113, -58478536 },
{ -2638201, -58972890 },
{ -2295003, -59738435 },
{ -2160353, -60064089 },
{ -1978487, -60596626 },
{ -1792695, -61478332 },
{ -1671298, -61938574 },
{ -1638646, -62242058 },
{ -1702306, -62474826 },
{ -1758168, -62588380 },
{ -1742563, -62755934 },
{ -1770570, -62903317 },
{ -1725537, -63219946 },
{ -1678412, -63443639 },
{ -1631627, -63568270 },
{ -1553479, -63640201 },
{ -1416944, -63666243 },
{ -998854, -63645714 },
{ -485685, -64191173 },
{ -577019, -64484225 },
{ -585667, -64583538 },
{ -541079, -64669076 },
{ -434910, -64754575 },
{ -294192, -64810609 },
{ 294172, -64810609 },
},
// Hole 1
{
{ -842246, -45167428 },
{ -1473641, -45154392 },
{ -2181728, -45100161 },
{ -2804308, -44985842 },
{ -3100514, -44879269 },
{ -3836807, -44802155 },
{ -4035816, -44718913 },
{ -4167175, -44583299 },
{ -4496705, -44467674 },
{ -4486674, -44382045 },
{ -4343949, -44070577 },
{ -3740991, -43494686 },
{ -2701372, -43313358 },
{ -1493599, -43312838 },
{ -8, -43352868 },
{ 1414575, -43313336 },
{ 2701358, -43313358 },
{ 3095462, -43374735 },
{ 3740975, -43494686 },
{ 4343934, -44070583 },
{ 4486657, -44382044 },
{ 4496688, -44467670 },
{ 4167159, -44583300 },
{ 4035800, -44718913 },
{ 3836792, -44802155 },
{ 3100498, -44879269 },
{ 2804292, -44985842 },
{ 2181712, -45100161 },
{ 1473625, -45154389 },
{ 842231, -45167428 },
{ -8, -45232686 },
},
// Hole 2
{
{ 1657455, -63016679 },
{ 1723196, -63056286 },
{ 1541535, -63643074 },
{ 1541532, -63643075 },
{ 1030020, -63645562 },
}
};
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, 3 },
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), 2, 2 },
OffsetTest { scale_(0.9), 2, 2 },
OffsetTest { scale_(0.99), 1, 2 },
OffsetTest { scale_(1.0), 1, 2 },
OffsetTest { scale_(1.01), 1, 2 },
}) {
Polygons offsetted_polygons_out = Slic3r::Voronoi::offset(vd, lines, ot.distance, scale_(0.005));
#ifdef VORONOI_DEBUG_OUT
dump_voronoi_to_svg(debug_out_path("voronoi-offset3-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 = Slic3r::Voronoi::offset(vd, lines, - ot.distance, scale_(0.005));
#ifdef VORONOI_DEBUG_OUT
dump_voronoi_to_svg(debug_out_path("voronoi-offset3-in-%lf.svg", ot.distance).c_str(),
vd, Points(), lines, offsetted_polygons_in);
#endif
REQUIRE(offsetted_polygons_in.size() == ot.num_inner);
}
}
// A sample extracted from file medallion_printable_fixed-teeth.stl from https://www.thingiverse.com/thing:1347129
// This test for offset scale_(2.9) and bigger
// triggers assert(r < std::max(d0, d1) + EPSILON) in function first_circle_segment_intersection_parameter.
TEST_CASE("Voronoi offset 5", "[VoronoiOffset5]")
{
Polygons poly = {
Polygon {
{ 0 , -16077501 },
{ 3015222 , -16142836 },
{ 3072642 , -16138163 },
{ 3094279 , -16105662 },
{ 3110660 , -15140728 },
{ 3157438 , -14105326 },
{ 3338367 , -11081394 },
{ 3443412 , -8381621 },
{ 3472489 , -6084497 },
{ 3445790 , -5962924 },
{ 3061725 , -6003484 },
{ 3030326 , -6030622 },
{ 2989343 , -6270378 },
{ 2903752 , -7368176 },
{ 2856704 , -7740619 },
{ 2795743 , -7978809 },
{ 2729231 , -8098866 },
{ 2666509 , -8131138 },
{ 2614169 , -8112308 },
{ 2561157 , -8032014 },
{ 2488290 , -7479351 },
{ 2453360 , -6911556 },
{ 2456148 , -6463146 },
{ 2546029 , -4580396 },
{ 2688181 , -2593262 },
{ 2717617 , -1700519 },
{ 2682232 , -1128411 },
{ 2631029 , -832886 },
{ 2535941 , -504483 },
{ 2399115 , -199303 },
{ 2290997 , -171213 },
{ 611824 , -132865 },
{ 6419 , -375849 },
{ -611825 , -132865 },
{ -2377355 , -185241 },
{ -2420740 , -231171 },
{ -2535942 , -504484 },
{ -2631030 , -832887 },
{ -2684831 , -1150821 },
{ -2714840 , -1586454 },
{ -2688181 , -2593262 },
{ -2546030 , -4580396 },
{ -2456149 , -6463145 },
{ -2453361 , -6911557 },
{ -2488291 , -7479352 },
{ -2561159 , -8032018 },
{ -2614171 , -8112309 },
{ -2666509 , -8131138 },
{ -2729233 , -8098868 },
{ -2795744 , -7978809 },
{ -2856706 , -7740619 },
{ -2903752 , -7368176 },
{ -2989345 , -6270378 },
{ -3030327 , -6030622 },
{ -3061726 , -6003484 },
{ -3445790 , -5962924 },
{ -3472490 , -6084498 },
{ -3468804 , -7244095 },
{ -3399287 , -9714025 },
{ -3338368 , -11081395 },
{ -3141015 , -14446051 },
{ -3094280 , -16105662 },
{ -3072643 , -16138163 },
{ -3008836 , -16143225 }
}
};
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_(2.8), 1, 1 },
OffsetTest { scale_(2.9), 1, 1 },
OffsetTest { scale_(3.0), 1, 1 },
}) {
Polygons offsetted_polygons_out = Slic3r::Voronoi::offset(vd, lines, ot.distance, scale_(0.005));
#ifdef VORONOI_DEBUG_OUT
dump_voronoi_to_svg(debug_out_path("voronoi-offset5-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 = Slic3r::Voronoi::offset(vd, lines, - ot.distance, scale_(0.005));
#ifdef VORONOI_DEBUG_OUT
dump_voronoi_to_svg(debug_out_path("voronoi-offset5-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 skeleton", "[VoronoiSkeleton]")
{
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);
Slic3r::Voronoi::annotate_inside_outside(vd, lines);
Slic3r::Voronoi::annotate_inside_outside(vd, lines);
static constexpr double threshold_alpha = M_PI / 12.; // 30 degrees
std::vector<Vec2d> skeleton_edges = Slic3r::Voronoi::skeleton_edges_rough(vd, lines, threshold_alpha);
REQUIRE(! skeleton_edges.empty());
}
// Simple detection with complexity N^2 if there is any point in the input polygons that doesn't have Voronoi vertex.
[[maybe_unused]] static bool has_missing_voronoi_vertices(const Polygons &polygons, const VD &vd)
{
auto are_equal = [](const VD::vertex_type v, const Point &p) { return (Vec2d(v.x(), v.y()) - p.cast<double>()).norm() <= SCALED_EPSILON; };
Points poly_points = to_points(polygons);
std::vector<bool> found_vertices(poly_points.size());
for (const Point &point : poly_points)
for (const auto &vertex : vd.vertices())
if (are_equal(vertex, point)) {
found_vertices[&point - &poly_points.front()] = true;
break;
}
return std::find(found_vertices.begin(), found_vertices.end(), false) != found_vertices.end();
}
// This case is composed of one square polygon, and one of the edges is divided into two parts by a point that lies on this edge.
// In some applications, this point is unnecessary and can be removed (merge two parts to one edge). But for the case of
// multi-material segmentation, these points are necessary. In this case, Voronoi vertex for the point, which divides the edge
// into two parts. Even we add more points to the edge, and then for these points, the Voronoin vertex is also missing. An
// infinity-edge passes through the missing Voronoi vertex. Therefore, this missing Voronoi vertex and edge can be reconstructed
// using the intersection between the infinity-edge with the input polygon.
// Rotation of the polygon solves this problem.
TEST_CASE("Voronoi missing vertex 1", "[VoronoiMissingVertex1]")
{
Polygon poly = {
{ 25000000, 25000000},
{-25000000, 25000000},
{-25000000, -25000000},
{-12412500, -25000000},
// {- 1650000, -25000000},
{ 25000000, -25000000}
};
// poly.rotate(PI / 6);
REQUIRE(poly.area() > 0.);
REQUIRE(intersecting_edges({poly}).empty());
VD vd;
Lines lines = to_lines(poly);
construct_voronoi(lines.begin(), lines.end(), &vd);
#ifdef VORONOI_DEBUG_OUT
dump_voronoi_to_svg(debug_out_path("voronoi-missing-vertex1-out.svg").c_str(), vd, Points(), lines);
#endif
// REQUIRE(!has_missing_voronoi_vertices({poly}, vd));
}
// This case is composed of two square polygons (contour and hole), and again one of the edges is divided into two parts by a
// point that lies on this edge, and for this point is Voronoi vertex missing. A difference between the previous and this case is
// that for this case, through the missing Voronoi vertex is passing a finite edge between two internal Voronoin vertices.
// Therefore, this missing Voronoi vertex and edge can be reconstructed using the intersection between the finite edge with the
// input polygon.
// Rotation of the polygons solves this problem.
TEST_CASE("Voronoi missing vertex 2", "[VoronoiMissingVertex2]")
{
Polygons poly = {
Polygon {
{ 50000000, 50000000},
{-50000000, 50000000},
{-50000000, -50000000},
{ 50000000, -50000000},
},
Polygon {
{-45000000, -45000000},
{-45000000, 45000000},
{ 45000000, 45000000},
{ 45000000, 8280000},
{ 45000000, -45000000},
}
};
// polygons_rotate(poly, PI / 6);
double area = std::accumulate(poly.begin(), poly.end(), 0., [](double a, auto &poly) { return a + poly.area(); });
REQUIRE(area > 0.);
REQUIRE(intersecting_edges(poly).empty());
VD vd;
Lines lines = to_lines(poly);
construct_voronoi(lines.begin(), lines.end(), &vd);
#ifdef VORONOI_DEBUG_OUT
dump_voronoi_to_svg(debug_out_path("voronoi-missing-vertex2-out.svg").c_str(), vd, Points(), lines);
#endif
// REQUIRE(!has_missing_voronoi_vertices(poly, vd));
}
// This case is composed of two polygons, and again one of the edges is divided into two parts by a point that lies on this edge,
// and for this point is Voronoi vertex missing. A difference between the previous cases and this case through the missing
// Voronoi vertex is passing finite edge between one inner Voronoi vertex and one outer Voronoi vertex.
// Rotating the polygon also help solve this problem.
TEST_CASE("Voronoi missing vertex 3", "[VoronoiMissingVertex3]")
{
Polygons poly = {
Polygon {
{-29715088, -29310899},
{-29022573, -28618384},
{-27771147, -27366958},
{-28539221, -26519393},
{-30619013, -28586348},
{-29812018, -29407830},
},
Polygon {
{-27035112, -28071875},
{-27367482, -27770679},
{-28387008, -28790205},
{-29309438, -29712635},
{-29406319, -29809515},
{-29032985, -30179156},
}
};
double area = std::accumulate(poly.begin(), poly.end(), 0., [](double a, auto &poly){ return a + poly.area(); });
REQUIRE(area > 0.);
REQUIRE(intersecting_edges(poly).empty());
// polygons_rotate(poly, PI/180);
// polygons_rotate(poly, PI/6);
VD vd;
Lines lines = to_lines(poly);
construct_voronoi(lines.begin(), lines.end(), &vd);
#ifdef VORONOI_DEBUG_OUT
dump_voronoi_to_svg(debug_out_path("voronoi-missing-vertex3-out.svg").c_str(), vd, Points(), lines);
#endif
// REQUIRE(!has_missing_voronoi_vertices(poly, vd));
}
TEST_CASE("Voronoi missing vertex 4", "[VoronoiMissingVertex4]")
{
// Probably the reason why Voronoi vertex is missing is that 19299999 and 19300000 are very close.
Polygon polygon_1 = {
Point(27000000, -18900000),
Point(27000000, 20000000),
Point(19000000, 20000000),
Point(19000000, 19299999),
Point(26000000, -18000000),
Point(-19000000, -18000000),
Point(-27000000, 19300000),
Point(-19000000, 19300000),
Point(-19000000, 20000000),
Point(-28000000, 20000000),
Point(-20000000, -18900000),
};
// Maybe this is the same case as the previous, but the missing Voronoi vertex is different.
Polygon polygon_2 = {
Point(27000000, -18900000),
Point(27000000, 20000000),
Point(19000000, 20000000),
Point(19000000, 19299999),
Point(19000000, -18000000), // Just this point is different other points are the same as previous.
Point(-19000000, -18000000),
Point(-27000000, 19300000),
Point(-19000000, 19300000),
Point(-19000000, 20000000),
Point(-28000000, 20000000),
Point(-20000000, -18900000),
};
Geometry::VoronoiDiagram vd_1;
Geometry::VoronoiDiagram vd_2;
Lines lines_1 = to_lines(polygon_1);
Lines lines_2 = to_lines(polygon_2);
construct_voronoi(lines_1.begin(), lines_1.end(), &vd_1);
construct_voronoi(lines_2.begin(), lines_2.end(), &vd_2);
#ifdef VORONOI_DEBUG_OUT
dump_voronoi_to_svg(debug_out_path("voronoi-missing-vertex4-1-out.svg").c_str(), vd_1, Points(), lines_1);
dump_voronoi_to_svg(debug_out_path("voronoi-missing-vertex4-2-out.svg").c_str(), vd_2, Points(), lines_2);
#endif
}
// In this case, the Voronoi vertex (146873, -146873) is included twice.
// Also, near to those duplicate Voronoi vertices is another Voronoi vertex (146872, -146872).
// Rotating the polygon will help solve this problem, but then there arise three very close Voronoi vertices.
// Rotating of the input polygon will help solve this problem.
TEST_CASE("Duplicate Voronoi vertices", "[Voronoi]")
{
Polygon poly = {
{ 25000000, 25000000},
{-25000000, 25000000},
{-25000000, -25000000},
{ 146872, -25000000},
{ 9912498, -25000000},
{ 25000000, -25000000},
{ 25000000, - 8056252},
{ 25000000, - 146873},
{ 25000000, 10790627},
};
// poly.rotate(PI / 6);
REQUIRE(poly.area() > 0.);
REQUIRE(intersecting_edges({poly}).empty());
VD vd;
Lines lines = to_lines(poly);
construct_voronoi(lines.begin(), lines.end(), &vd);
#ifdef VORONOI_DEBUG_OUT
dump_voronoi_to_svg(debug_out_path("voronoi-duplicate-vertices-out.svg").c_str(), vd, Points(), lines);
#endif
[[maybe_unused]] auto has_duplicate_vertices = [](const VD &vd) -> bool {
std::vector<Vec2d> vertices;
for (const auto &vertex : vd.vertices())
vertices.emplace_back(Vec2d(vertex.x(), vertex.y()));
std::sort(vertices.begin(), vertices.end(), [](const Vec2d &l, const Vec2d &r) { return l.x() < r.x() || (l.x() == r.x() && l.y() < r.y()); });
return std::unique(vertices.begin(), vertices.end()) != vertices.end();
};
// REQUIRE(!has_duplicate_vertices(vd));
}
// In this case, there are three very close Voronoi vertices like in the previous test case after rotation. There is also one
// missing Voronoi vertex. One infinity-edge (after clip [(146872, -70146871), (146872, -146871)]) passes through this missing
// Voronoi vertex. This infinite edge [(146872, -70146871), (146872, -146871)] and edge [(146873, -146873), (0, 0)] are intersecting.
// They intersect probably because the three points are very close to each other, with a combination of the missing Voronoi vertex.
// Rotating of the input polygon will help solve this problem.
TEST_CASE("Intersecting Voronoi edges", "[Voronoi]")
{
Polygon poly = {
{ 25000000, 25000000},
{-25000000, 25000000},
{-25000000, -25000000},
{ 146872, -25000000},
{ 25000000, -25000000},
{ 25000000, - 146873},
};
// poly.rotate(PI / 6);
REQUIRE(poly.area() > 0.);
REQUIRE(intersecting_edges({poly}).empty());
VD vd;
Lines lines = to_lines(poly);
construct_voronoi(lines.begin(), lines.end(), &vd);
#ifdef VORONOI_DEBUG_OUT
dump_voronoi_to_svg(debug_out_path("voronoi-intersecting-edges-out.svg").c_str(), vd, Points(), lines);
#endif
[[maybe_unused]] auto has_intersecting_edges = [](const Polygon &poly, const VD &vd) -> bool {
BoundingBox bbox = get_extents(poly);
const double bbox_dim_max = double(std::max(bbox.size().x(), bbox.size().y()));
std::vector<Voronoi::Internal::segment_type> segments;
for (const Line &line : to_lines(poly))
segments.emplace_back(Voronoi::Internal::point_type(double(line.a.x()), double(line.a.y())),
Voronoi::Internal::point_type(double(line.b.x()), double(line.b.y())));
Lines edges;
for (const auto &edge : vd.edges())
if (edge.cell()->source_index() < edge.twin()->cell()->source_index()) {
if (edge.is_finite()) {
edges.emplace_back(Point(coord_t(edge.vertex0()->x()), coord_t(edge.vertex0()->y())),
Point(coord_t(edge.vertex1()->x()), coord_t(edge.vertex1()->y())));
} else if (edge.is_infinite()) {
std::vector<Voronoi::Internal::point_type> samples;
Voronoi::Internal::clip_infinite_edge(poly.points, segments, edge, bbox_dim_max, &samples);
if (!samples.empty())
edges.emplace_back(Point(coord_t(samples[0].x()), coord_t(samples[0].y())), Point(coord_t(samples[1].x()), coord_t(samples[1].y())));
}
}
Point intersect_point;
for (auto first_it = edges.begin(); first_it != edges.end(); ++first_it)
for (auto second_it = first_it + 1; second_it != edges.end(); ++second_it)
if (first_it->intersection(*second_it, &intersect_point) && first_it->a != intersect_point && first_it->b != intersect_point)
return true;
return false;
};
// REQUIRE(!has_intersecting_edges(poly, vd));
}
// In this case resulting Voronoi diagram is not planar. This case was distilled from GH issue #8474.
// Also, in GH issue #8514, a non-planar Voronoi diagram is generated for several polygons.
// Rotating the input polygon will solve this issue.
TEST_CASE("Non-planar voronoi diagram", "[VoronoiNonPlanar]")
{
Polygon poly {
{ 5500000, -42000000},
{ 8000000, -17000000},
{ 8000000, 40000000},
{ 7500000, 40000000},
{ 7500000, -18000000},
{ 6000001, -18000000},
{ 6000000, 40000000},
{ 5500000, 40000000},
};
// poly.rotate(PI / 6);
REQUIRE(poly.area() > 0.);
REQUIRE(intersecting_edges({poly}).empty());
VD vd;
Lines lines = to_lines(poly);
construct_voronoi(lines.begin(), lines.end(), &vd);
#ifdef VORONOI_DEBUG_OUT
dump_voronoi_to_svg(debug_out_path("voronoi-non-planar-out.svg").c_str(), vd, Points(), lines);
#endif
// REQUIRE(Geometry::VoronoiUtilsCgal::is_voronoi_diagram_planar_intersection(vd));
}
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