63c66f4f18
We introduced detecting for those degeneration cases. When degenerated Voronoi diagram is detected, then the input polygons are rotated, and the Voronoi diagram is recomputed. Usually, rotation of input data solves issues like this.
2193 lines
93 KiB
C++
2193 lines
93 KiB
C++
#include <catch2/catch.hpp>
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#include <test_utils.hpp>
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#include <libslic3r/Polygon.hpp>
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#include <libslic3r/Polyline.hpp>
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#include <libslic3r/EdgeGrid.hpp>
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#include <libslic3r/Geometry.hpp>
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#include <libslic3r/Arachne/SkeletalTrapezoidation.hpp>
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#include <libslic3r/Geometry/VoronoiOffset.hpp>
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#include <libslic3r/Geometry/VoronoiVisualUtils.hpp>
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#include <numeric>
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// #define VORONOI_DEBUG_OUT
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#ifdef VORONOI_DEBUG_OUT
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#include <libslic3r/VoronoiVisualUtils.hpp>
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#endif
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using boost::polygon::voronoi_builder;
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using boost::polygon::voronoi_diagram;
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using namespace Slic3r;
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using VD = Geometry::VoronoiDiagram;
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// https://svn.boost.org/trac10/ticket/12067
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// This bug seems to be confirmed.
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// Vojtech supposes that there may be no Voronoi edges produced for
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// the 1st and last sweep line positions.
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TEST_CASE("Voronoi missing edges - points 12067", "[Voronoi]")
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{
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Points pts {
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{ -10, -20 },
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{ 10, -20 },
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{ 5, 0 },
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{ 10, 20 },
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{ -10, 20 },
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{ -5, 0 }
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};
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#if 0
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for (Point &p : pts) {
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Vec2d q = p.cast<double>();
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p.x() = scale_(p.x());
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p.y() = scale_(p.y());
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}
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#endif
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#if 0
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// Try to rotate, maybe the issue is caused by incorrect handling of vertical or horizontal edges?
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double a = 0.18764587962597876897475f;
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double c = cos(a);
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double s = sin(a);
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for (Point &p : poly.points) {
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Vec2d q = p.cast<double>();
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p.x() = coord_t(q.x() * c + q.y() * s + 0.5);
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p.y() = coord_t(- q.x() * s + q.y() * c + 0.5);
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}
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#endif
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// Construction of the Voronoi Diagram.
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VD vd;
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construct_voronoi(pts.begin(), pts.end(), &vd);
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#ifdef VORONOI_DEBUG_OUT
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dump_voronoi_to_svg(debug_out_path("voronoi-pts.svg").c_str(),
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vd, pts, Lines());
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#endif
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// REQUIRE(closest_point.z() == Approx(1.));
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}
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// https://svn.boost.org/trac10/ticket/12707
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// This issue is confirmed, there are no self intersections in the polygon.
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// A minimal test case is created at the end of this test,
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// a new issue opened with the minimal test case:
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// https://github.com/boostorg/polygon/issues/43
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TEST_CASE("Voronoi missing edges - Alessandro gapfill 12707", "[Voronoi]")
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{
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Lines lines0 {
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{ { 42127548, 699996}, { 42127548, 10135750 } },
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{ { 42127548, 10135750}, { 50487352, 10135750 } },
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{ { 50487352, 10135750}, { 50487352, 699995 } },
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{ { 50487352, 699995}, { 51187348, 0 } },
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{ { 51187348, 0}, { 64325952, 0 } },
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{ { 64325952, 0}, { 64325952, 699996 } },
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{ { 64325952, 699996}, { 51187348, 699996 } },
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{ { 51187348, 699996}, { 51187348, 10835701 } },
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{ { 51187348, 10835701}, { 41427552, 10835701 } },
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{ { 41427552, 10835701}, { 41427552, 699996 } },
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{ { 41427552, 699996}, { 28664848, 699996 } },
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{ { 28664848, 699996}, { 28664848, 10835701 } },
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{ { 28664848, 10835701}, { 19280052, 10835701 } },
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{ { 19280052, 10835701}, { 27964852, 699996 } },
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{ { 27964852, 699996}, { 28664848, 0 } },
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{ { 28664848, 0}, { 41427551, 0 } },
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{ { 41427551, 0}, { 42127548, 699996 } }
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};
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Lines lines1 {
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{ { 42127548, 699996}, { 42127548, 10135750 } },
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{ { 42127548, 10135750}, { 50487352, 10135750 } },
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{ { 50487352, 10135750}, { 50487352, 699995 } },
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{ { 50487352, 699995}, { 51187348, 0 } },
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{ { 51187348, 0}, { 51187348, 10835701 } },
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{ { 51187348, 10835701}, { 41427552, 10835701 } },
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{ { 41427552, 10835701}, { 41427552, 699996 } },
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{ { 41427552, 699996}, { 28664848, 699996 } },
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{ { 28664848, 699996}, { 28664848, 10835701 } },
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{ { 28664848, 10835701}, { 19280052, 10835701 } },
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{ { 19280052, 10835701}, { 27964852, 699996 } },
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{ { 27964852, 699996}, { 28664848, 0 } },
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{ { 28664848, 0}, { 41427551, 0 } },
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{ { 41427551, 0}, { 42127548, 699996 } }
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};
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Lines lines2 {
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{ { 42127548, 699996}, { 42127548, 10135750 } },
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{ { 42127548, 10135750}, { 50487352, 10135750 } },
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{ { 50487352, 10135750}, { 50487352, 699995 } },
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{ { 50487352, 699995}, { 51187348, 0 } },
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{ { 51187348, 0}, { 51187348, 10835701 } },
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{ { 51187348, 10835701}, { 41427552, 10835701 } },
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{ { 41427552, 10835701}, { 41427552, 699996 } },
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{ { 41427552, 699996}, { 28664848, 699996 } },
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{ { 28664848, 699996}, { 28664848, 10835701 } },
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{ { 28664848, 10835701}, { 19280052, 10835701 } },
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{ { 19280052, 10835701}, { 28664848, 0 } },
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{ { 28664848, 0}, { 41427551, 0 } },
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{ { 41427551, 0}, { 42127548, 699996 } }
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};
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Lines lines3 {
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{ { 42127548, 699996}, { 42127548, 10135750 } },
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{ { 42127548, 10135750}, { 50487352, 10135750 } },
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{ { 50487352, 10135750}, { 50487352, 699995 } },
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{ { 50487352, 699995}, { 51187348, 0 } },
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{ { 51187348, 0}, { 51187348, 10835701 } },
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{ { 51187348, 10835701}, { 41427552, 10835701 } },
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{ { 41427552, 10835701}, { 41427552, 699996 } },
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{ { 41427552, 699996}, { 41427551, 0 } },
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{ { 41427551, 0}, { 42127548, 699996 } }
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};
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Lines lines4 {
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{ { 42127548, 699996}, { 42127548, 10135750 } },
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{ { 42127548, 10135750}, { 50487352, 10135750 } },
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{ { 50487352, 10135750}, { 50487352, 699995 } },
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{ { 50487352, 699995}, { 51187348, 0 } },
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{ { 51187348, 0}, { 51187348, 10835701 } },
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{ { 51187348, 10835701}, { 41427552, 10835701 } },
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{ { 41427552, 10835701}, { 41427551, 0 } },
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{ { 41427551, 0}, { 42127548, 699996 } }
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};
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Polygon poly {
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{ 0, 10000000},
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{ 700000, 1}, // it has to be 1, higher number, zero or -1 work.
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{ 700000, 9000000},
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{ 9100000, 9000000},
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{ 9100000, 0},
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{10000000, 10000000}
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};
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#if 1
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// Try to rotate, maybe the issue is caused by incorrect handling of vertical or horizontal edges?
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double a = 0.18764587962597876897475f;
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double c = cos(a);
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double s = sin(a);
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for (Point &p : poly.points) {
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Vec2d q = p.cast<double>();
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p.x() = coord_t(q.x() * c + q.y() * s + 0.5);
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p.y() = coord_t(- q.x() * s + q.y() * c + 0.5);
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}
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#endif
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std::mt19937 gen;
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std::uniform_int_distribution<coord_t> dist(-100, 100);
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#if 0
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for (Point &p : poly.points) {
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// Wiggle the points a bit to find out whether this fixes the voronoi diagram for this particular polygon.
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p.x() = (p.x() += dist(gen));
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p.y() = (p.y() += dist(gen));
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}
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#endif
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REQUIRE(intersecting_edges({ poly }).empty());
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Lines lines = to_lines(poly);
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VD vd;
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construct_voronoi(lines.begin(), lines.end(), &vd);
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#ifdef VORONOI_DEBUG_OUT
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dump_voronoi_to_svg(debug_out_path("voronoi-lines.svg").c_str(),
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vd, Points(), lines);
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#endif
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}
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TEST_CASE("Voronoi weirdness", "[Voronoi]")
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{
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Polygon poly2 {
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{ 0, 0 },
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{ 70000000, 0 },
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{ 70000000, 1300000 },
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// { 70000001, 14000000 }
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{ 70700000, 14000000 }
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};
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Polygon poly5 {
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{ 35058884, -25732145 },
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{ 35058884, -19586070 },
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{ 32753739, -20246796 },
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{ 28756244, -21010725 },
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{ 24657532, -21657939 },
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{ 20836260, -21960233 },
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{ 16115145, -22070742 },
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{ 11850152, -21839761 },
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{ 7646240, -21470177 },
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{ 3607605, -20786940 },
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{ 1280947, -20329742 },
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{ -292823, -19963790 },
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{ -3844469, -18809741 },
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{ -7237277, -17593723 },
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{ -10225900, -16143761 },
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{ -13030266, -14643721 },
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{ -15404294, -12977561 },
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{ -17601713, -11280712 },
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{ -19241930, -9435607 },
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{ -20714420, -7583739 },
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{ -21726144, -5664355 },
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{ -22579294, -3741947 },
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{ -22966684, -1786321 },
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{ -23200322, 170140 },
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{ -22966684, 2126602 },
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{ -22579296, 4082227 },
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{ -21726148, 6004637 },
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{ -20714424, 7924020 },
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{ -19241932, 9775888 },
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{ -17601717, 11620994 },
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{ -15404423, 13317749 },
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{ -13030276, 14984003 },
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{ -10225910, 16484042 },
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{ -7237288, 17934005 },
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{ -3844482, 19150025 },
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{ -292841, 20304074 },
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{ 1280949, 20670031 },
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{ 3607587, 21127226 },
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{ 7646218, 21810465 },
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{ 11850128, 22180055 },
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{ 16115122, 22411036 },
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{ 20836263, 22300531 },
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{ 24657513, 21998239 },
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{ 28756227, 21351025 },
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{ 32753725, 20587092 },
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{ 35058893, 19926309 },
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{ 35058893, 35000000 },
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{ -31657232, 35000000 },
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{ -31657202, -35000000 },
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{ 35058881, -35000000 }
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};
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Polygon poly7 {
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{ 35058884, -25732145 },
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{ 35058884, -19586070 },
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{ -31657202, -35000000 },
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{ 35058881, -35000000 }
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};
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// coord_t shift = 35058881;
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// coord_t shift_ok = 17000000;
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coord_t shift = 35058881;
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Polygon poly {
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// <-4, 0>: bug
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// -5: ok
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// 1 - ok
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{ 0 + shift, -35000000 },
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{ 0 + shift, -25732145 },
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{ 0 + shift, -19586070 },
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{ -66716086 + shift, -35000000 }
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};
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REQUIRE(intersecting_edges({ poly }).empty());
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REQUIRE(poly.area() > 0.);
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#if 0
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// Try to rotate, maybe the issue is caused by incorrect handling of vertical or horizontal edges?
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double a = 0.18764587962597876897475f;
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double c = cos(a);
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double s = sin(a);
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for (Point &p : poly.points) {
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Vec2d q = p.cast<double>();
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p.x() = coord_t(q.x() * c + q.y() * s + 0.5);
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p.y() = coord_t(- q.x() * s + q.y() * c + 0.5);
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}
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#endif
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VD vd;
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Lines lines = to_lines(poly);
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construct_voronoi(lines.begin(), lines.end(), &vd);
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#ifdef VORONOI_DEBUG_OUT
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dump_voronoi_to_svg(debug_out_path("voronoi-weirdness.svg").c_str(),
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vd, Points(), lines);
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#endif
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}
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// https://svn.boost.org/trac10/ticket/12903
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// division by zero reported, but this issue is most likely a non-issue, as it produces an infinity for the interval of validity
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// of the floating point calculation, therefore forcing a recalculation with extended accuracy.
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TEST_CASE("Voronoi division by zero 12903", "[Voronoi]")
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{
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Points pts { { 1, 1 }, { 3, 1 }, { 1, 3 }, { 3, 3 },
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{ -1, 1 }, { 1, -1 }, { 5, 1 }, { 3, -1 },
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{ -1, 3 }, { 1, 5 }, { 5, 3 }, { 3, 5 } };
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{
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auto pts2 { pts };
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std::sort(pts2.begin(), pts2.end(), [](auto &l, auto &r) { return (l.x() == r.x()) ? l.y() < r.y() : l.x() < r.x(); });
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// No point removed -> no duplicate.
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REQUIRE(std::unique(pts2.begin(), pts2.end()) == pts2.end());
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}
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VD vd;
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construct_voronoi(pts.begin(), pts.end(), &vd);
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#ifdef VORONOI_DEBUG_OUT
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// Scale the voronoi vertices and input points, so that the dump_voronoi_to_svg will display them correctly.
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for (auto &pt : vd.vertices()) {
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const_cast<double&>(pt.x()) = scale_(pt.x());
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const_cast<double&>(pt.y()) = scale_(pt.y());
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}
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for (auto &pt : pts)
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pt = Point::new_scale(pt.x(), pt.y());
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dump_voronoi_to_svg(debug_out_path("voronoi-div-by-zero.svg").c_str(), vd, pts, Lines());
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#endif
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}
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// https://svn.boost.org/trac10/ticket/12139
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// Funny sample from a dental industry?
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// Vojtech confirms this test fails and rightly so, because the input data contain self intersections.
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// This test is suppressed.
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TEST_CASE("Voronoi NaN coordinates 12139", "[Voronoi][!hide][!mayfail]")
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{
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Lines lines = {
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{ { 260500,1564400 }, { 261040,1562960 } },
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{ { 261040,1562960 }, { 260840,1561780 } },
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{ { 260840,1561780 }, { 262620,1561480 } },
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{ { 262620,1561480 }, { 263160,1561220 } },
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{ { 263160,1561220 }, { 264100,1563259 } },
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{ { 264100,1563259 }, { 262380,1566980 } },
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{ { 262380,1566980 }, { 260500,1564400 } },
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{ { 137520,1851640 }, { 132160,1851100 } },
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{ { 132160,1851100 }, { 126460,1848779 } },
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{ { 126460,1848779 }, { 123960,1847320 } },
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{ { 123960,1847320 }, { 120960,1844559 } },
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{ { 120960,1844559 }, { 119640,1843040 } },
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{ { 119640,1843040 }, { 118320,1840900 } },
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{ { 118320,1840900 }, { 117920,1838120 } },
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{ { 117920,1838120 }, { 118219,1833340 } },
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{ { 118219,1833340 }, { 116180,1835000 } },
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{ { 116180,1835000 }, { 115999,1834820 } },
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{ { 115999,1834820 }, { 114240,1836340 } },
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{ { 114240,1836340 }, { 112719,1837260 } },
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{ { 112719,1837260 }, { 109460,1838239 } },
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{ { 109460,1838239 }, { 103639,1837480 } },
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{ { 103639,1837480 }, { 99819,1835460 } },
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{ { 99819,1835460 }, { 96320,1834260 } },
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{ { 96320,1834260 }, { 95339,1834260 } },
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{ { 95339,1834260 }, { 93660,1833720 } },
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{ { 93660,1833720 }, { 90719,1833300 } },
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{ { 90719,1833300 }, { 87860,1831660 } },
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{ { 87860,1831660 }, { 84580,1830499 } },
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{ { 84580,1830499 }, { 79780,1827419 } },
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{ { 79780,1827419 }, { 76020,1824280 } },
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{ { 76020,1824280 }, { 73680,1821180 } },
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{ { 73680,1821180 }, { 72560,1818960 } },
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{ { 72560,1818960 }, { 71699,1817719 } },
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{ { 71699,1817719 }, { 70280,1814260 } },
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{ { 70280,1814260 }, { 69460,1811060 } },
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{ { 69460,1811060 }, { 69659,1807320 } },
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{ { 69659,1807320 }, { 69640,1803300 } },
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{ { 69640,1803300 }, { 69360,1799780 } },
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{ { 69360,1799780 }, { 69320,1796720 } },
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{ { 69320,1796720 }, { 69640,1793980 } },
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{ { 69640,1793980 }, { 70160,1791780 } },
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{ { 70160,1791780 }, { 72460,1784879 } },
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{ { 72460,1784879 }, { 74420,1780780 } },
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{ { 74420,1780780 }, { 76500,1772899 } },
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{ { 76500,1772899 }, { 76760,1769359 } },
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{ { 76760,1769359 }, { 76480,1766259 } },
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{ { 76480,1766259 }, { 76839,1760360 } },
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{ { 76839,1760360 }, { 77539,1756680 } },
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{ { 77539,1756680 }, { 80540,1748140 } },
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{ { 80540,1748140 }, { 84200,1742619 } },
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{ { 84200,1742619 }, { 90900,1735220 } },
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{ { 90900,1735220 }, { 94159,1732679 } },
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{ { 94159,1732679 }, { 101259,1729559 } },
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{ { 101259,1729559 }, { 107299,1727939 } },
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{ { 107299,1727939 }, { 110979,1727919 } },
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{ { 110979,1727919 }, { 113499,1727240 } },
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{ { 113499,1727240 }, { 113619,1727359 } },
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{ { 113619,1727359 }, { 114280,1727280 } },
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{ { 114280,1727280 }, { 131440,1732560 } },
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{ { 131440,1732560 }, { 118140,1727119 } },
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{ { 583100,1630399 }, { 582200,1632160 } },
|
|
{ { 582200,1632160 }, { 595380,1627020 } },
|
|
{ { 595380,1627020 }, { 597400,1627320 } },
|
|
{ { 597400,1627320 }, { 602240,1628459 } },
|
|
{ { 602240,1628459 }, { 605660,1630260 } },
|
|
{ { 605660,1630260 }, { 610319,1634140 } },
|
|
{ { 610319,1634140 }, { 612340,1636319 } },
|
|
{ { 612340,1636319 }, { 614820,1638020 } },
|
|
{ { 614820,1638020 }, { 616460,1638740 } },
|
|
{ { 616460,1638740 }, { 620420,1639500 } },
|
|
{ { 620420,1639500 }, { 623000,1639280 } },
|
|
{ { 623000,1639280 }, { 624459,1639359 } },
|
|
{ { 624459,1639359 }, { 626180,1640159 } },
|
|
{ { 626180,1640159 }, { 627279,1640940 } },
|
|
{ { 627279,1640940 }, { 629980,1643759 } },
|
|
{ { 629980,1643759 }, { 632380,1648000 } },
|
|
{ { 632380,1648000 }, { 635020,1654800 } },
|
|
{ { 635020,1654800 }, { 636320,1659140 } },
|
|
{ { 636320,1659140 }, { 636680,1663620 } },
|
|
{ { 636680,1663620 }, { 636180,1665780 } },
|
|
{ { 636180,1665780 }, { 630620,1669720 } },
|
|
{ { 630620,1669720 }, { 628760,1672979 } },
|
|
{ { 628760,1672979 }, { 627540,1676859 } },
|
|
{ { 627540,1676859 }, { 627040,1680699 } },
|
|
{ { 627040,1680699 }, { 624700,1686500 } },
|
|
{ { 624700,1686500 }, { 623260,1688799 } },
|
|
{ { 623260,1688799 }, { 619620,1693799 } },
|
|
{ { 619620,1693799 }, { 621720,1694859 } },
|
|
{ { 621720,1694859 }, { 624940,1694379 } },
|
|
{ { 624940,1694379 }, { 627120,1695600 } },
|
|
{ { 627120,1695600 }, { 627740,1696120 } },
|
|
{ { 627740,1696120 }, { 631120,1697460 } },
|
|
{ { 631120,1697460 }, { 633980,1698340 } },
|
|
{ { 633980,1698340 }, { 638380,1700460 } },
|
|
{ { 638380,1700460 }, { 642660,1703300 } },
|
|
{ { 642660,1703300 }, { 643620,1704140 } },
|
|
{ { 643620,1704140 }, { 646300,1707000 } },
|
|
{ { 646300,1707000 }, { 649060,1710880 } },
|
|
{ { 649060,1710880 }, { 651160,1714879 } },
|
|
{ { 651160,1714879 }, { 651740,1716559 } },
|
|
{ { 651740,1716559 }, { 653139,1722619 } },
|
|
{ { 653139,1722619 }, { 653020,1728320 } },
|
|
{ { 653020,1728320 }, { 652719,1731420 } },
|
|
{ { 652719,1731420 }, { 651619,1736360 } },
|
|
{ { 651619,1736360 }, { 649819,1743160 } },
|
|
{ { 649819,1743160 }, { 646440,1749059 } },
|
|
{ { 646440,1749059 }, { 645219,1750399 } },
|
|
{ { 645219,1750399 }, { 643959,1752679 } },
|
|
{ { 643959,1752679 }, { 643959,1753740 } },
|
|
{ { 643959,1753740 }, { 642140,1754240 } },
|
|
{ { 642140,1754240 }, { 643760,1754099 } },
|
|
{ { 643760,1754099 }, { 644320,1754280 } },
|
|
{ { 644320,1754280 }, { 645000,1754879 } },
|
|
{ { 645000,1754879 }, { 646940,1755620 } },
|
|
{ { 646940,1755620 }, { 654779,1757820 } },
|
|
{ { 654779,1757820 }, { 661100,1761559 } },
|
|
{ { 661100,1761559 }, { 664099,1763980 } },
|
|
{ { 664099,1763980 }, { 668220,1768480 } },
|
|
{ { 668220,1768480 }, { 671920,1773640 } },
|
|
{ { 671920,1773640 }, { 674939,1779540 } },
|
|
{ { 674939,1779540 }, { 677760,1782440 } },
|
|
{ { 677760,1782440 }, { 679080,1785739 } },
|
|
{ { 679080,1785739 }, { 678780,1788100 } },
|
|
{ { 678780,1788100 }, { 678020,1791500 } },
|
|
{ { 678020,1791500 }, { 677120,1793600 } },
|
|
{ { 677120,1793600 }, { 676860,1795800 } },
|
|
{ { 676860,1795800 }, { 676440,1797320 } },
|
|
{ { 676440,1797320 }, { 676459,1798519 } },
|
|
{ { 676459,1798519 }, { 675620,1800159 } },
|
|
{ { 675620,1800159 }, { 675520,1801019 } },
|
|
{ { 675520,1801019 }, { 673360,1804899 } },
|
|
{ { 673360,1804899 }, { 672740,1807079 } },
|
|
{ { 672740,1807079 }, { 673300,1809260 } },
|
|
{ { 673300,1809260 }, { 674539,1811019 } },
|
|
{ { 674539,1811019 }, { 675499,1812020 } },
|
|
{ { 675499,1812020 }, { 677660,1817240 } },
|
|
{ { 677660,1817240 }, { 679659,1824280 } },
|
|
{ { 679659,1824280 }, { 680380,1828779 } },
|
|
{ { 680380,1828779 }, { 679519,1837999 } },
|
|
{ { 679519,1837999 }, { 677940,1844379 } },
|
|
{ { 677940,1844379 }, { 676940,1846900 } },
|
|
{ { 676940,1846900 }, { 675479,1849379 } },
|
|
{ { 675479,1849379 }, { 674000,1851200 } },
|
|
{ { 674000,1851200 }, { 671380,1853480 } },
|
|
{ { 671380,1853480 }, { 667019,1855240 } },
|
|
{ { 667019,1855240 }, { 662540,1856060 } },
|
|
{ { 662540,1856060 }, { 660960,1856599 } },
|
|
{ { 660960,1856599 }, { 656240,1857020 } },
|
|
{ { 656240,1857020 }, { 655600,1856960 } },
|
|
{ { 655600,1856960 }, { 652839,1855880 } },
|
|
{ { 652839,1855880 }, { 652019,1855840 } },
|
|
{ { 652019,1855840 }, { 651459,1855060 } },
|
|
{ { 651459,1855060 }, { 652179,1854359 } },
|
|
{ { 652179,1854359 }, { 652019,1849919 } },
|
|
{ { 652019,1849919 }, { 650620,1846920 } },
|
|
{ { 650620,1846920 }, { 647299,1844540 } },
|
|
{ { 647299,1844540 }, { 644500,1843819 } },
|
|
{ { 644500,1843819 }, { 641860,1844859 } },
|
|
{ { 641860,1844859 }, { 641059,1845340 } },
|
|
{ { 641059,1845340 }, { 638860,1845820 } },
|
|
{ { 638860,1845820 }, { 638000,1845820 } },
|
|
{ { 638000,1845820 }, { 636340,1845479 } },
|
|
{ { 636340,1845479 }, { 634980,1844800 } },
|
|
{ { 634980,1844800 }, { 632660,1842979 } },
|
|
{ { 632660,1842979 }, { 631140,1841120 } },
|
|
{ { 631140,1841120 }, { 629140,1839520 } },
|
|
{ { 629140,1839520 }, { 626640,1839540 } },
|
|
{ { 626640,1839540 }, { 624159,1840739 } },
|
|
{ { 624159,1840739 }, { 623820,1841380 } },
|
|
{ { 623820,1841380 }, { 622440,1842719 } },
|
|
{ { 622440,1842719 }, { 622100,1843680 } },
|
|
{ { 622100,1843680 }, { 623780,1846100 } },
|
|
{ { 623780,1846100 }, { 624580,1846920 } },
|
|
{ { 624580,1846920 }, { 626120,1856720 } },
|
|
{ { 626120,1856720 }, { 627440,1860000 } },
|
|
{ { 627440,1860000 }, { 628000,1864299 } },
|
|
{ { 628000,1864299 }, { 627380,1865999 } },
|
|
{ { 627380,1865999 }, { 626260,1867580 } },
|
|
{ { 626260,1867580 }, { 623660,1869520 } },
|
|
{ { 623660,1869520 }, { 618680,1872780 } },
|
|
{ { 618680,1872780 }, { 617699,1873140 } },
|
|
{ { 617699,1873140 }, { 612000,1874160 } },
|
|
{ { 612000,1874160 }, { 609840,1874220 } },
|
|
{ { 609840,1874220 }, { 606940,1873860 } },
|
|
{ { 136680,1926960 }, { 135500,1926360 } },
|
|
{ { 135500,1926360 }, { 137360,1923060 } },
|
|
{ { 137360,1923060 }, { 139500,1918559 } },
|
|
{ { 139500,1918559 }, { 140780,1913239 } },
|
|
{ { 140780,1913239 }, { 139600,1913020 } },
|
|
{ { 139600,1913020 }, { 127380,1923600 } },
|
|
{ { 127380,1923600 }, { 122800,1926059 } },
|
|
{ { 122800,1926059 }, { 118879,1927719 } },
|
|
{ { 118879,1927719 }, { 114420,1928300 } },
|
|
{ { 114420,1928300 }, { 111480,1927020 } },
|
|
{ { 111480,1927020 }, { 110619,1925399 } },
|
|
{ { 110619,1925399 }, { 109620,1924200 } },
|
|
{ { 109620,1924200 }, { 108860,1922780 } },
|
|
{ { 108860,1922780 }, { 108479,1920999 } },
|
|
{ { 108479,1920999 }, { 106600,1918080 } },
|
|
{ { 106600,1918080 }, { 106220,1917740 } },
|
|
{ { 106220,1917740 }, { 105199,1916960 } },
|
|
{ { 105199,1916960 }, { 101460,1914859 } },
|
|
{ { 101460,1914859 }, { 99480,1914379 } },
|
|
{ { 99480,1914379 }, { 97179,1913499 } },
|
|
{ { 97179,1913499 }, { 94900,1911100 } },
|
|
{ { 94900,1911100 }, { 94100,1909639 } },
|
|
{ { 94100,1909639 }, { 93379,1907740 } },
|
|
{ { 93379,1907740 }, { 93960,1898259 } },
|
|
{ { 93960,1898259 }, { 93739,1896460 } },
|
|
{ { 93739,1896460 }, { 94299,1893080 } },
|
|
{ { 94299,1893080 }, { 97240,1883440 } },
|
|
{ { 97240,1883440 }, { 99799,1879780 } },
|
|
{ { 99799,1879780 }, { 100400,1878120 } },
|
|
{ { 100400,1878120 }, { 100199,1877200 } },
|
|
{ { 100199,1877200 }, { 98940,1877460 } },
|
|
{ { 98940,1877460 }, { 96320,1878480 } },
|
|
{ { 96320,1878480 }, { 86020,1881039 } },
|
|
{ { 86020,1881039 }, { 84340,1881080 } },
|
|
{ { 84340,1881080 }, { 76780,1882600 } },
|
|
{ { 76780,1882600 }, { 74380,1883580 } },
|
|
{ { 74380,1883580 }, { 72679,1884019 } },
|
|
{ { 72679,1884019 }, { 70900,1885940 } },
|
|
{ { 70900,1885940 }, { 71240,1888340 } },
|
|
{ { 71240,1888340 }, { 72720,1889940 } },
|
|
{ { 72720,1889940 }, { 74640,1891360 } },
|
|
{ { 74640,1891360 }, { 75620,1893179 } },
|
|
{ { 75620,1893179 }, { 77140,1895340 } },
|
|
{ { 77140,1895340 }, { 81040,1899500 } },
|
|
{ { 81040,1899500 }, { 82760,1900380 } },
|
|
{ { 82760,1900380 }, { 83720,1902300 } },
|
|
{ { 83720,1902300 }, { 85459,1903700 } },
|
|
{ { 85459,1903700 }, { 86960,1905940 } },
|
|
{ { 86960,1905940 }, { 88280,1913020 } },
|
|
{ { 88280,1913020 }, { 88160,1913539 } },
|
|
{ { 88160,1913539 }, { 88020,1913860 } },
|
|
{ { 88020,1913860 }, { 86080,1915200 } },
|
|
{ { 86080,1915200 }, { 85660,1916740 } },
|
|
{ { 85660,1916740 }, { 83899,1918799 } },
|
|
{ { 83899,1918799 }, { 79360,1921160 } },
|
|
{ { 79360,1921160 }, { 76400,1923140 } },
|
|
{ { 76400,1923140 }, { 70800,1926180 } },
|
|
{ { 70800,1926180 }, { 64460,1927659 } },
|
|
{ { 64460,1927659 }, { 60880,1927820 } },
|
|
{ { 60880,1927820 }, { 55780,1925580 } },
|
|
{ { 55780,1925580 }, { 54940,1925040 } },
|
|
{ { 54940,1925040 }, { 52199,1921700 } },
|
|
{ { 52199,1921700 }, { 49680,1916579 } },
|
|
{ { 49680,1916579 }, { 48719,1914180 } },
|
|
{ { 48719,1914180 }, { 48620,1913080 } },
|
|
{ { 48620,1913080 }, { 47640,1909120 } },
|
|
{ { 47640,1909120 }, { 48280,1899319 } },
|
|
{ { 48280,1899319 }, { 49140,1895600 } },
|
|
{ { 49140,1895600 }, { 50320,1892899 } },
|
|
{ { 50320,1892899 }, { 51559,1890640 } },
|
|
{ { 51559,1890640 }, { 52140,1889960 } },
|
|
{ { 52140,1889960 }, { 54640,1887999 } },
|
|
{ { 54640,1887999 }, { 55639,1886500 } },
|
|
{ { 55639,1886500 }, { 55720,1885080 } },
|
|
{ { 55720,1885080 }, { 55439,1883220 } },
|
|
{ { 55439,1883220 }, { 54640,1882159 } },
|
|
{ { 54640,1882159 }, { 54100,1880300 } },
|
|
{ { 54100,1880300 }, { 52479,1874079 } },
|
|
{ { 52479,1874079 }, { 51700,1869000 } },
|
|
{ { 51700,1869000 }, { 51600,1865419 } },
|
|
{ { 51600,1865419 }, { 51720,1859820 } },
|
|
{ { 51720,1859820 }, { 52160,1857260 } },
|
|
{ { 52160,1857260 }, { 52539,1856120 } },
|
|
{ { 52539,1856120 }, { 57240,1845720 } },
|
|
{ { 57240,1845720 }, { 58280,1844400 } },
|
|
{ { 58280,1844400 }, { 60639,1840820 } },
|
|
{ { 60639,1840820 }, { 65580,1835540 } },
|
|
{ { 65580,1835540 }, { 68340,1833340 } },
|
|
{ { 68340,1833340 }, { 71660,1831480 } },
|
|
{ { 71660,1831480 }, { 73460,1829960 } },
|
|
{ { 73460,1829960 }, { 75200,1829319 } },
|
|
{ { 75200,1829319 }, { 77200,1828960 } },
|
|
{ { 77200,1828960 }, { 78640,1828920 } },
|
|
{ { 78640,1828920 }, { 111780,1842700 } },
|
|
{ { 111780,1842700 }, { 112800,1843480 } },
|
|
{ { 112800,1843480 }, { 113879,1844879 } },
|
|
{ { 113879,1844879 }, { 116379,1847379 } },
|
|
{ { 116379,1847379 }, { 116360,1847580 } },
|
|
{ { 116360,1847580 }, { 117100,1848799 } },
|
|
{ { 117100,1848799 }, { 120160,1851799 } },
|
|
{ { 120160,1851799 }, { 121860,1852320 } },
|
|
{ { 121860,1852320 }, { 124280,1852679 } },
|
|
{ { 124280,1852679 }, { 128920,1854659 } },
|
|
{ { 128920,1854659 }, { 130840,1856360 } },
|
|
{ { 130840,1856360 }, { 133520,1859460 } },
|
|
{ { 133520,1859460 }, { 135079,1860860 } },
|
|
{ { 135079,1860860 }, { 137280,1864440 } },
|
|
{ { 137280,1864440 }, { 142980,1872899 } },
|
|
{ { 142980,1872899 }, { 144600,1875840 } },
|
|
{ { 144600,1875840 }, { 147240,1883480 } },
|
|
{ { 147240,1883480 }, { 147460,1886539 } },
|
|
{ { 147460,1886539 }, { 147660,1886920 } },
|
|
{ { 147660,1886920 }, { 148399,1891720 } },
|
|
{ { 148399,1891720 }, { 148820,1896799 } },
|
|
{ { 148820,1896799 }, { 148399,1898880 } },
|
|
{ { 148399,1898880 }, { 148799,1899420 } },
|
|
{ { 148799,1899420 }, { 150520,1898539 } },
|
|
{ { 150520,1898539 }, { 154760,1892760 } },
|
|
{ { 154760,1892760 }, { 156580,1889240 } },
|
|
{ { 156580,1889240 }, { 156940,1888900 } },
|
|
{ { 156940,1888900 }, { 157540,1889540 } },
|
|
{ { 157540,1889540 }, { 156860,1896819 } },
|
|
{ { 156860,1896819 }, { 155639,1903940 } },
|
|
{ { 155639,1903940 }, { 153679,1908100 } },
|
|
{ { 153679,1908100 }, { 152859,1909039 } },
|
|
{ { 152859,1909039 }, { 149660,1915580 } },
|
|
{ { 149660,1915580 }, { 148000,1918600 } },
|
|
{ { 148000,1918600 }, { 141640,1926980 } },
|
|
{ { 141640,1926980 }, { 140060,1927899 } },
|
|
{ { 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, 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));
|
|
}
|
|
|
|
// 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
|
|
|
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// REQUIRE(Arachne::is_voronoi_diagram_planar(vd));
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}
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