diff --git a/.gitignore b/.gitignore index 8d98f9deb..96215723c 100644 --- a/.gitignore +++ b/.gitignore @@ -1 +1,8 @@ .* + +# Free Pascal / Delphi build artifacts +*.ppu +*.rsj +Delphi/**/*.o +Delphi/Tests/StripeIndexQA/out/ +Delphi/Tests/StripeIndexQA/StripeIndexQA diff --git a/CPP/CMakeLists.txt b/CPP/CMakeLists.txt index bb3625454..e3ad3f7dd 100644 --- a/CPP/CMakeLists.txt +++ b/CPP/CMakeLists.txt @@ -278,6 +278,7 @@ if(CLIPPER2_TESTS) Tests/TestRandomPaths.cpp Tests/TestRectClip.cpp Tests/TestSimplifyPath.cpp + Tests/TestStripeIndex.cpp Tests/TestTrimCollinear.cpp Tests/TestWindows.cpp ) diff --git a/CPP/Clipper2Lib/include/clipper2/clipper.engine.h b/CPP/Clipper2Lib/include/clipper2/clipper.engine.h index 0e9c74798..6a2b4e548 100644 --- a/CPP/Clipper2Lib/include/clipper2/clipper.engine.h +++ b/CPP/Clipper2Lib/include/clipper2/clipper.engine.h @@ -65,6 +65,27 @@ namespace Clipper2Lib { } }; + // Buckets a ring's edges into horizontal Y stripes so a PIP query only scans the + // stripe spanning pt.y (~O(sqrt n) vs O(n)). After KiCad's POLY_YSTRIPES_INDEX. + struct StripeIndex { + void BuildFromPath(const Path64& path); + void BuildFromRing(const OutPt* op); + PointInPolygonResult PointInPolygon(const Point64& pt) const; + size_t EdgeCount() const { return edges_.size(); } + bool Empty() const { return edges_.empty(); } + + private: + struct StripeEdge { Point64 a; Point64 b; }; + void Build(std::vector&& edges); + int YToStripe(int64_t y) const; + + std::vector edges_; + std::vector> stripes_; + int64_t y_min_ = 0; + int64_t stripe_height_ = 1; + int stripe_count_ = 1; + }; + class PolyPath; class PolyPath64; class PolyPathD; @@ -88,6 +109,8 @@ namespace Clipper2Lib { Rect64 bounds = {}; Path64 path; bool is_open = false; + // Lazily built during PolyTree nesting; only valid once pts is stable. + std::unique_ptr pip_index; ~OutRec() { if (splits) delete splits; @@ -261,6 +284,10 @@ namespace Clipper2Lib { int error_code_ = 0; bool has_open_paths_ = false; bool succeeded_ = true; + + // Ring edge count below which index build does not pay off; brute force instead. + // 64 is an empirical break-even. + size_t pip_index_threshold_ = 64; OutRecList outrec_list_; //pointers in case list memory reallocated bool ExecuteInternal(ClipType ct, FillRule ft, bool use_polytrees); void CleanCollinear(OutRec* outrec); @@ -281,6 +308,10 @@ namespace Clipper2Lib { bool PreserveCollinear() const { return preserve_collinear_;} void ReverseSolution(bool val) { reverse_solution_ = val; } bool ReverseSolution() const { return reverse_solution_; } + + // Testing knob. High forces brute-force nesting, low forces stripe indexing. + void PipIndexThreshold(size_t val) { pip_index_threshold_ = val; } + size_t PipIndexThreshold() const { return pip_index_threshold_; } void Clear(); void AddReuseableData(const ReuseableDataContainer64& reuseable_data); #ifdef USINGZ diff --git a/CPP/Clipper2Lib/src/clipper.engine.cpp b/CPP/Clipper2Lib/src/clipper.engine.cpp index 6442c96ad..ad5da7e3e 100644 --- a/CPP/Clipper2Lib/src/clipper.engine.cpp +++ b/CPP/Clipper2Lib/src/clipper.engine.cpp @@ -10,6 +10,7 @@ #include "clipper2/clipper.engine.h" #include "clipper2/clipper.h" #include +#include // https://github.com/AngusJohnson/Clipper2/discussions/334 // #discussioncomment-4248602 @@ -485,6 +486,139 @@ namespace Clipper2Lib { outrec->owner = new_owner; } + int StripeIndex::YToStripe(int64_t y) const + { + const int64_t s = (y - y_min_) / stripe_height_; + + if (s < 0) return 0; + if (s >= stripe_count_) return stripe_count_ - 1; + + return static_cast(s); + } + + void StripeIndex::Build(std::vector&& edges) + { + edges_ = std::move(edges); + stripes_.clear(); + + if (edges_.empty()) + { + y_min_ = 0; + stripe_height_ = 1; + stripe_count_ = 1; + return; + } + + y_min_ = edges_[0].a.y; + int64_t y_max = edges_[0].a.y; + + for (const StripeEdge& e : edges_) + { + y_min_ = std::min(y_min_, std::min(e.a.y, e.b.y)); + y_max = std::max(y_max, std::max(e.a.y, e.b.y)); + } + + stripe_count_ = static_cast(std::sqrt(static_cast(edges_.size()))); + if (stripe_count_ < 1) stripe_count_ = 1; + if (stripe_count_ > 65536) stripe_count_ = 65536; + + const int64_t y_range = y_max - y_min_; + stripe_height_ = (y_range <= 0) ? 1 : (y_range + stripe_count_ - 1) / stripe_count_; + + // Decline rings whose edges each span many stripes (tall "comb" edges); indexing + // loses to brute force there. Empty edges_ signals the fallback to callers. + int64_t total_refs = 0; + + for (const StripeEdge& e : edges_) + total_refs += YToStripe(std::max(e.a.y, e.b.y)) - YToStripe(std::min(e.a.y, e.b.y)) + 1; + + if (total_refs > static_cast(edges_.size()) * 8) + { + edges_.clear(); + return; + } + + stripes_.resize(stripe_count_); + + for (size_t i = 0; i < edges_.size(); ++i) + { + const StripeEdge& e = edges_[i]; + const int s_min = YToStripe(std::min(e.a.y, e.b.y)); + const int s_max = YToStripe(std::max(e.a.y, e.b.y)); + + for (int s = s_min; s <= s_max; ++s) + stripes_[s].push_back(static_cast(i)); + } + } + + void StripeIndex::BuildFromPath(const Path64& path) + { + std::vector edges; + + if (path.size() >= 3) + { + edges.reserve(path.size()); + + for (size_t i = 0, j = path.size() - 1; i < path.size(); j = i++) + if (path[j].x != path[i].x || path[j].y != path[i].y) + edges.push_back({ path[j], path[i] }); + } + + Build(std::move(edges)); + } + + void StripeIndex::BuildFromRing(const OutPt* op) + { + std::vector edges; + + if (op && op->next != op && op->prev != op->next) + { + const OutPt* cur = op; + + do + { + const OutPt* nxt = cur->next; + + if (cur->pt.x != nxt->pt.x || cur->pt.y != nxt->pt.y) + edges.push_back({ cur->pt, nxt->pt }); + + cur = nxt; + } while (cur != op); + } + + Build(std::move(edges)); + } + + PointInPolygonResult StripeIndex::PointInPolygon(const Point64& pt) const + { + if (edges_.empty()) return PointInPolygonResult::IsOutside; + + const std::vector& stripe = stripes_[YToStripe(pt.y)]; + bool inside = false; + + for (int32_t idx : stripe) + { + const StripeEdge& e = edges_[idx]; + const int cross = CrossProductSign(e.a, e.b, pt); + + // On-segment needs the bbox check; collinear (cross == 0) alone catches points + // on the edge's infinite line but off the segment. + if (cross == 0 && + pt.x >= std::min(e.a.x, e.b.x) && pt.x <= std::max(e.a.x, e.b.x) && + pt.y >= std::min(e.a.y, e.b.y) && pt.y <= std::max(e.a.y, e.b.y)) + return PointInPolygonResult::IsOn; + + // Half-open crossing so horizontal edges never affect parity (IsOn only). + if ((e.a.y > pt.y) != (e.b.y > pt.y)) + { + if (e.b.y > pt.y ? cross > 0 : cross < 0) + inside = !inside; + } + } + + return inside ? PointInPolygonResult::IsInside : PointInPolygonResult::IsOutside; + } + static PointInPolygonResult PointInOpPolygon(const Point64& pt, OutPt* op) { if (op == op->next || op->prev == op->next) @@ -598,6 +732,50 @@ namespace Clipper2Lib { return Path2ContainsPath1(GetCleanPath(op1), GetCleanPath(op2)); // (#973) } + // Path2ContainsPath1 variant using a StripeIndex cached on the owner. Small owners + // and the ambiguity fallback defer to the brute-force overload, so results match. + static bool Path2ContainsPath1Indexed(OutPt* op1, OutRec* owner, size_t index_threshold) + { + if (owner->path.size() <= index_threshold) + return Path2ContainsPath1(op1, owner->pts); + + if (!owner->pip_index) + { + // Build into a local first so a throw cannot cache a partial index. + auto index = std::make_unique(); + index->BuildFromRing(owner->pts); + owner->pip_index = std::move(index); + } + + // Empty means the index declined this ring (see StripeIndex::Build). + if (owner->pip_index->Empty()) + return Path2ContainsPath1(op1, owner->pts); + + PointInPolygonResult pip = PointInPolygonResult::IsOn; + OutPt* op = op1; + + do + { + switch (owner->pip_index->PointInPolygon(op->pt)) + { + case PointInPolygonResult::IsOutside: + if (pip == PointInPolygonResult::IsOutside) return false; + pip = PointInPolygonResult::IsOutside; + break; + case PointInPolygonResult::IsInside: + if (pip == PointInPolygonResult::IsInside) return true; + pip = PointInPolygonResult::IsInside; + break; + default: break; + } + + op = op->next; + } while (op != op1); + + // ambiguous, defer to the exact cleaned-path test + return Path2ContainsPath1(GetCleanPath(op1), GetCleanPath(owner->pts)); // (#973) + } + void AddLocMin(LocalMinimaList& list, Vertex& vert, PathType polytype, bool is_open) { @@ -2943,7 +3121,7 @@ namespace Clipper2Lib { return true; if (!CheckBounds(split) || !split->bounds.Contains(outrec->bounds) || - !Path2ContainsPath1(outrec->pts, split->pts)) continue; + !Path2ContainsPath1Indexed(outrec->pts, split, pip_index_threshold_)) continue; if (!IsValidOwner(outrec, split)) // split is owned by outrec! (#957) split->owner = outrec->owner; @@ -2966,7 +3144,7 @@ namespace Clipper2Lib { if (outrec->owner->splits && CheckSplitOwner(outrec, outrec->owner->splits)) break; if (outrec->owner->pts && CheckBounds(outrec->owner) && outrec->owner->bounds.Contains(outrec->bounds) && - Path2ContainsPath1(outrec->pts, outrec->owner->pts)) break; + Path2ContainsPath1Indexed(outrec->pts, outrec->owner, pip_index_threshold_)) break; outrec->owner = outrec->owner->owner; } diff --git a/CPP/Tests/TestStripeIndex.cpp b/CPP/Tests/TestStripeIndex.cpp new file mode 100644 index 000000000..e71c8cecc --- /dev/null +++ b/CPP/Tests/TestStripeIndex.cpp @@ -0,0 +1,554 @@ +#include +#include "clipper2/clipper.h" +#include "clipper2/clipper.engine.h" +#include "clipper2/clipper.core.h" +#include "ClipFileLoad.h" + +#include +#include +#include +#include +#include +#include +#include + +using namespace Clipper2Lib; + +namespace +{ + Path64 MakeSquare(int64_t size) + { + const int64_t z = 0; + return { Point64(z, z), Point64(size, z), Point64(size, size), Point64(z, size) }; + } + + // Many-edged ring so the index spans several stripes. + Path64 MakeCircle(int64_t r, int n) + { + const double pi = 3.14159265358979323846; + Path64 p; + p.reserve(n); + + for (int i = 0; i < n; ++i) + { + const double a = 2.0 * pi * i / n; + p.push_back(Point64(static_cast(std::llround(r * std::cos(a))), + static_cast(std::llround(r * std::sin(a))))); + } + + return p; + } + + // Heap-allocated closed OutPt ring for exercising StripeIndex::BuildFromRing. + struct OutPtRing + { + std::vector nodes; + + explicit OutPtRing(const Path64& path) + { + OutPt* prev = nullptr; + + for (const Point64& pt : path) + { + OutPt* op = new OutPt(pt, nullptr); + nodes.push_back(op); + + if (prev) + { + prev->next = op; + op->prev = prev; + } + + prev = op; + } + + if (!nodes.empty()) + { + nodes.back()->next = nodes.front(); + nodes.front()->prev = nodes.back(); + } + } + + OutPt* head() const { return nodes.empty() ? nullptr : nodes.front(); } + + ~OutPtRing() + { + for (OutPt* op : nodes) delete op; + } + + OutPtRing(const OutPtRing&) = delete; + OutPtRing& operator=(const OutPtRing&) = delete; + }; + + // Independent ground truth for "pt on boundary" so fuzz can assert exact equality + // off-boundary rather than skipping every IsOn (which would mask a spurious IsOn). + bool IsOnAnySegment(const Path64& poly, const Point64& pt) + { + for (size_t i = 0, j = poly.size() - 1; i < poly.size(); j = i++) + { + const Point64& a = poly[j]; + const Point64& b = poly[i]; + + if (CrossProductSign(a, b, pt) != 0) continue; + + if (pt.x >= std::min(a.x, b.x) && pt.x <= std::max(a.x, b.x) && + pt.y >= std::min(a.y, b.y) && pt.y <= std::max(a.y, b.y)) + return true; + } + + return false; + } + + // Deterministic LCG so the fuzz is reproducible. + struct Lcg + { + uint64_t state; + explicit Lcg(uint64_t seed): state(seed) {} + int64_t Next(int64_t lo, int64_t hi) + { + state = state * 6364136223846793005ULL + 1442695040888963407ULL; + const uint64_t span = static_cast(hi - lo + 1); + return lo + static_cast((state >> 33) % span); + } + }; +} + +TEST(StripeIndexTests, InsidePoint) +{ + StripeIndex index; + index.BuildFromPath(MakeSquare(100)); + + EXPECT_EQ(index.PointInPolygon(Point64(50, 50)), PointInPolygonResult::IsInside); +} + +TEST(StripeIndexTests, OutsidePoint) +{ + StripeIndex index; + index.BuildFromPath(MakeSquare(100)); + + EXPECT_EQ(index.PointInPolygon(Point64(150, 50)), PointInPolygonResult::IsOutside); + EXPECT_EQ(index.PointInPolygon(Point64(-10, 50)), PointInPolygonResult::IsOutside); + EXPECT_EQ(index.PointInPolygon(Point64(50, 200)), PointInPolygonResult::IsOutside); + EXPECT_EQ(index.PointInPolygon(Point64(50, -5)), PointInPolygonResult::IsOutside); +} + +TEST(StripeIndexTests, OnEdge) +{ + StripeIndex index; + index.BuildFromPath(MakeSquare(100)); + + EXPECT_EQ(index.PointInPolygon(Point64(50, 0)), PointInPolygonResult::IsOn); // bottom (horizontal) edge + EXPECT_EQ(index.PointInPolygon(Point64(100, 50)), PointInPolygonResult::IsOn); // right (vertical) edge +} + +TEST(StripeIndexTests, OnVertex) +{ + StripeIndex index; + index.BuildFromPath(MakeSquare(100)); + + EXPECT_EQ(index.PointInPolygon(Point64(0, 0)), PointInPolygonResult::IsOn); + EXPECT_EQ(index.PointInPolygon(Point64(100, 100)), PointInPolygonResult::IsOn); +} + +TEST(StripeIndexTests, CollinearExtensionIsNotOn) +{ + // Points on an edge's infinite line but off the segment must not read IsOn, + // even when they share that edge's stripe. + StripeIndex index; + index.BuildFromPath(MakeSquare(100)); + + EXPECT_EQ(index.PointInPolygon(Point64(200, 0)), PointInPolygonResult::IsOutside); + EXPECT_EQ(index.PointInPolygon(Point64(-50, 0)), PointInPolygonResult::IsOutside); + EXPECT_EQ(index.PointInPolygon(Point64(100, 200)), PointInPolygonResult::IsOutside); // above right edge line +} + +TEST(StripeIndexTests, MatchesBruteForceOnConcavePolygon) +{ + // A concave "C" shape exercises the parity logic on a non-convex ring. + const Path64 poly = { + Point64(0, 0), Point64(100, 0), Point64(100, 30), Point64(30, 30), + Point64(30, 70), Point64(100, 70), Point64(100, 100), Point64(0, 100) + }; + + StripeIndex index; + index.BuildFromPath(poly); + + for (int64_t y = -5; y <= 105; y += 3) + { + for (int64_t x = -5; x <= 105; x += 3) + { + const Point64 pt(x, y); + const PointInPolygonResult actual = index.PointInPolygon(pt); + + if (IsOnAnySegment(poly, pt)) + EXPECT_EQ(actual, PointInPolygonResult::IsOn) << "boundary at (" << x << "," << y << ")"; + else + EXPECT_EQ(actual, PointInPolygon(pt, poly)) << "mismatch at (" << x << "," << y << ")"; + } + } +} + +TEST(StripeIndexTests, DegeneratePathsAreOutside) +{ + const int64_t z = 0; + + StripeIndex empty; + empty.BuildFromPath(Path64{}); + EXPECT_TRUE(empty.Empty()); + EXPECT_EQ(empty.PointInPolygon(Point64(z, z)), PointInPolygonResult::IsOutside); + + StripeIndex segment; + segment.BuildFromPath(Path64{ Point64(z, z), Point64(int64_t(10), z) }); + EXPECT_EQ(segment.PointInPolygon(Point64(int64_t(5), z)), PointInPolygonResult::IsOutside); +} + +TEST(StripeIndexTests, MultiStripeMatchesBruteForce) +{ + const Path64 poly = MakeCircle(10000, 256); + ASSERT_GT(poly.size(), 64u); // ensures sqrt(edges) yields several stripes + + StripeIndex index; + index.BuildFromPath(poly); + + Lcg rng(0x9E3779B97F4A7C15ULL); + int checked = 0; + + for (int i = 0; i < 20000; ++i) + { + const Point64 pt(rng.Next(-10200, 10200), rng.Next(-10200, 10200)); + const PointInPolygonResult actual = index.PointInPolygon(pt); + + if (IsOnAnySegment(poly, pt)) + { + ASSERT_EQ(actual, PointInPolygonResult::IsOn) << "boundary at (" << pt.x << "," << pt.y << ")"; + } + else + { + ASSERT_EQ(actual, PointInPolygon(pt, poly)) << "mismatch at (" << pt.x << "," << pt.y << ")"; + ++checked; + } + } + + EXPECT_GT(checked, 1000); // sanity: the loop actually exercised non-boundary points +} + +TEST(StripeIndexTests, AllHorizontalRingHasNoInterior) +{ + // Zero-area ring (all vertices on one row) has no interior; half-open parity keeps + // horizontal edges from fabricating an inside. + const Path64 poly = { + Point64(int64_t(0), int64_t(10)), Point64(int64_t(50), int64_t(10)), + Point64(int64_t(100), int64_t(10)) + }; + + StripeIndex index; + index.BuildFromPath(poly); + + EXPECT_EQ(index.PointInPolygon(Point64(int64_t(50), int64_t(0))), PointInPolygonResult::IsOutside); + EXPECT_EQ(index.PointInPolygon(Point64(int64_t(50), int64_t(20))), PointInPolygonResult::IsOutside); + EXPECT_EQ(index.PointInPolygon(Point64(int64_t(200), int64_t(10))), PointInPolygonResult::IsOutside); +} + +TEST(StripeIndexTests, BoundaryRowPointsMatchBruteForce) +{ + // Points on the y_min, y_max and vertex rows stress half-open parity and clamping. + const Path64 poly = { + Point64(int64_t(0), int64_t(0)), Point64(int64_t(100), int64_t(0)), + Point64(int64_t(60), int64_t(50)), Point64(int64_t(100), int64_t(100)), + Point64(int64_t(0), int64_t(100)), Point64(int64_t(40), int64_t(50)) + }; + + StripeIndex index; + index.BuildFromPath(poly); + + for (int64_t y : { int64_t(0), int64_t(50), int64_t(100) }) + { + for (int64_t x = -10; x <= 110; ++x) + { + const Point64 pt(x, y); + const PointInPolygonResult actual = index.PointInPolygon(pt); + + if (IsOnAnySegment(poly, pt)) + EXPECT_EQ(actual, PointInPolygonResult::IsOn) << "boundary at (" << x << "," << y << ")"; + else + EXPECT_EQ(actual, PointInPolygon(pt, poly)) << "mismatch at (" << x << "," << y << ")"; + } + } +} + +TEST(StripeIndexTests, BuildFromRingMatchesBuildFromPath) +{ + const Path64 poly = MakeCircle(5000, 97); // odd count, ensures distinct edges + OutPtRing ring(poly); + + StripeIndex from_path; + from_path.BuildFromPath(poly); + + StripeIndex from_ring; + from_ring.BuildFromRing(ring.head()); + + EXPECT_EQ(from_path.EdgeCount(), from_ring.EdgeCount()); + + Lcg rng(0xD1B54A32D192ED03ULL); + + for (int i = 0; i < 5000; ++i) + { + const Point64 pt(rng.Next(-5200, 5200), rng.Next(-5200, 5200)); + EXPECT_EQ(from_ring.PointInPolygon(pt), from_path.PointInPolygon(pt)) + << "ring vs path mismatch at (" << pt.x << "," << pt.y << ")"; + } +} + +TEST(StripeIndexTests, AdversarialCombRingDeclinesIndexing) +{ + // Tall zigzag where every edge spans the full Y range, so each lands in every + // stripe. The index declines it (leaves itself empty) rather than lose to brute force. + const int64_t height = 100000; + Path64 comb; + + for (int i = 0; i < 200; ++i) + comb.push_back(Point64(static_cast(i), (i & 1) ? height : static_cast(0))); + + StripeIndex index; + index.BuildFromPath(comb); + + EXPECT_TRUE(index.Empty()); +} + +namespace +{ + // FNV-1a hash of coordinates so the signature distinguishes same-size, different geometry. + uint64_t HashPolygon(const Path64& poly) + { + uint64_t h = 1469598103934665603ULL; + + for (const Point64& pt : poly) + { + h = (h ^ static_cast(pt.x)) * 1099511628211ULL; + h = (h ^ static_cast(pt.y)) * 1099511628211ULL; + } + + return h; + } + + // Depth-first PolyTree signature (level, hole flag, vertex count, coord hash per node). + void SerializeTree(const PolyPath64& node, std::string& out) + { + for (size_t i = 0; i < node.Count(); ++i) + { + const PolyPath64* c = node[i]; + out += std::to_string(c->Level()); + out += c->IsHole() ? "H" : "S"; + out += std::to_string(c->Polygon().size()); + out += ":"; + out += std::to_string(HashPolygon(c->Polygon())); + out += ";"; + SerializeTree(*c, out); + } + } + + std::string UnionTreeSignature(const Paths64& subject, size_t threshold) + { + Clipper64 clipper; + clipper.PipIndexThreshold(threshold); + clipper.AddSubject(subject); + + PolyTree64 tree; + Paths64 open; + clipper.Execute(ClipType::Union, FillRule::EvenOdd, tree, open); + + std::string sig; + SerializeTree(tree, sig); + return sig; + } +} + +TEST(StripeIndexTests, NestedPolyTreeIdenticalWithAndWithoutIndex) +{ + // Concentric circles nest as alternating solids and holes, exercising the + // owner determination the index accelerates. + const Paths64 subject = { + MakeCircle(10000, 220), MakeCircle(7500, 200), + MakeCircle(5000, 180), MakeCircle(2500, 160) + }; + + const std::string brute = UnionTreeSignature(subject, SIZE_MAX); // force brute-force + const std::string indexed = UnionTreeSignature(subject, 1); // force stripe index + + EXPECT_FALSE(brute.empty()); + EXPECT_NE(brute.find('H'), std::string::npos); // sanity: the tree really nests + EXPECT_EQ(indexed, brute); +} + +// Real-world stress cases exercise nesting where one parent owns >1000 children. +// They skip if the data file is absent, and run only in the non-Z build (nesting is +// USINGZ-independent) to keep the suite fast. +#ifndef USINGZ +namespace +{ + struct TreeStats + { + size_t nodes = 0; + size_t max_children = 0; + size_t holes = 0; + }; + + void GatherStats(const PolyPath64& node, TreeStats& s) + { + if (node.Count() > s.max_children) s.max_children = node.Count(); + + for (size_t i = 0; i < node.Count(); ++i) + { + const PolyPath64* c = node[i]; + ++s.nodes; + + if (c->IsHole()) ++s.holes; + + GatherStats(*c, s); + } + } + + bool LoadRealWorld(const std::string& name, Paths64& subj, Paths64& clip, + ClipType& ct, FillRule& fr) + { + std::ifstream ifs(name); + + if (!ifs.good()) return false; + + Paths64 subj_open; + int64_t area = 0, count = 0; + return LoadTestNum(ifs, 1, subj, subj_open, clip, area, count, ct, fr); + } + + std::string TreeSignature(const Paths64& subj, const Paths64& clip, + ClipType ct, FillRule fr, size_t threshold) + { + Clipper64 clipper; + clipper.PipIndexThreshold(threshold); + clipper.AddSubject(subj); + clipper.AddClip(clip); + + PolyTree64 tree; + Paths64 open; + clipper.Execute(ct, fr, tree, open); + + std::string sig; + SerializeTree(tree, sig); + return sig; + } + + // Times only Execute, excluding serialization, to isolate the accelerated path. + double TimeTreeBuildMs(const Paths64& subj, const Paths64& clip, + ClipType ct, FillRule fr, size_t threshold) + { + Clipper64 clipper; + clipper.PipIndexThreshold(threshold); + clipper.AddSubject(subj); + clipper.AddClip(clip); + + PolyTree64 tree; + Paths64 open; + + const auto start = std::chrono::steady_clock::now(); + clipper.Execute(ct, fr, tree, open); + const auto end = std::chrono::steady_clock::now(); + + EXPECT_GT(tree.Count(), 0u); + return std::chrono::duration(end - start).count(); + } +} + +TEST(StripeIndexRealWorld, SubtractTreeIdenticalWithAndWithoutIndex) +{ + Paths64 subj, clip; + ClipType ct = ClipType::NoClip; + FillRule fr = FillRule::NonZero; + + if (!LoadRealWorld("clipper_subtract.txt", subj, clip, ct, fr)) + GTEST_SKIP() << "clipper_subtract.txt not present"; + + Clipper64 clipper; + clipper.PipIndexThreshold(SIZE_MAX); + clipper.AddSubject(subj); + clipper.AddClip(clip); + PolyTree64 brute_tree; + Paths64 open; + clipper.Execute(ct, fr, brute_tree, open); + + TreeStats stats; + GatherStats(brute_tree, stats); + EXPECT_GT(stats.max_children, 1000u); // confirms heavy single-parent nesting + EXPECT_GT(stats.holes, 0u); + + std::string brute; + SerializeTree(brute_tree, brute); + const std::string indexed = TreeSignature(subj, clip, ct, fr, 1); + + EXPECT_FALSE(brute.empty()); + EXPECT_EQ(indexed, brute); +} + +TEST(StripeIndexRealWorld, InflateUnionTreeIdenticalWithAndWithoutIndex) +{ + Paths64 subj, clip; + ClipType ct = ClipType::NoClip; + FillRule fr = FillRule::NonZero; + + if (!LoadRealWorld("clipper_inflate.txt", subj, clip, ct, fr)) + GTEST_SKIP() << "clipper_inflate.txt not present"; + + // The file is an OFFSET case; union its subjects to exercise nesting. + Clipper64 clipper; + clipper.PipIndexThreshold(SIZE_MAX); + clipper.AddSubject(subj); + PolyTree64 brute_tree; + Paths64 open; + clipper.Execute(ClipType::Union, FillRule::NonZero, brute_tree, open); + + TreeStats stats; + GatherStats(brute_tree, stats); + EXPECT_GT(stats.max_children, 500u); // confirms substantial single-parent nesting + EXPECT_GT(stats.holes, 0u); + + std::string brute; + SerializeTree(brute_tree, brute); + // Validate the production default threshold; subtract case covers threshold 1. + const std::string indexed = TreeSignature(subj, {}, ClipType::Union, FillRule::NonZero, 64); + + EXPECT_FALSE(brute.empty()); + EXPECT_EQ(indexed, brute); +} + +TEST(StripeIndexRealWorld, IndexFasterOnLargeNesting) +{ + Paths64 subj, clip; + ClipType ct = ClipType::NoClip; + FillRule fr = FillRule::NonZero; + + if (!LoadRealWorld("clipper_subtract.txt", subj, clip, ct, fr)) + GTEST_SKIP() << "clipper_subtract.txt not present"; + + // Warm up caches and the allocator before timing. + TimeTreeBuildMs(subj, clip, ct, fr, SIZE_MAX); + TimeTreeBuildMs(subj, clip, ct, fr, 64); + + double brute_best = 1e18; + double index_best = 1e18; + + for (int i = 0; i < 3; ++i) + { + brute_best = std::min(brute_best, TimeTreeBuildMs(subj, clip, ct, fr, SIZE_MAX)); + index_best = std::min(index_best, TimeTreeBuildMs(subj, clip, ct, fr, 64)); + } + + std::cout << "[ PERF ] subtract PolyTree brute=" << brute_best + << "ms default-index=" << index_best << "ms" << std::endl; + + // Skip when the baseline is too small to time reliably (noise dominates). + if (brute_best < 20.0) + GTEST_SKIP() << "brute baseline too small to compare reliably"; + + // Require a clear win with margin, best-of-N so the assertion does not flake on noise. + EXPECT_LT(index_best, brute_best * 0.9); +} +#endif // !USINGZ diff --git a/CSharp/Clipper2Lib/Clipper.Engine.cs b/CSharp/Clipper2Lib/Clipper.Engine.cs index 481e723af..ee460e5e2 100644 --- a/CSharp/Clipper2Lib/Clipper.Engine.cs +++ b/CSharp/Clipper2Lib/Clipper.Engine.cs @@ -156,6 +156,163 @@ internal class OutRec public bool isOpen; public List? splits; public OutRec? recursiveSplit; + // Lazy PIP accelerator, valid only once pts is stable (tree-building phase). + public StripeIndex? pipIndex; + } + + // PIP accelerator for one closed ring. Buckets edges into sqrt(n) Y stripes so a + // query scans only its stripe, O(n) -> ~O(sqrt n). After KiCad's POLY_YSTRIPES_INDEX. + public class StripeIndex + { + private struct StripeEdge + { + public Point64 a; + public Point64 b; + } + + private StripeEdge[] _edges = Array.Empty(); + private List[] _stripes = Array.Empty>(); + private long _yMin; + private long _stripeHeight = 1; + private int _stripeCount = 1; + + public int EdgeCount => _edges.Length; + public bool Empty => _edges.Length == 0; + + private int YToStripe(long y) + { + long s = (y - _yMin) / _stripeHeight; + + if (s < 0) return 0; + if (s >= _stripeCount) return _stripeCount - 1; + + return (int) s; + } + + private void Build(List edges) + { + _edges = edges.ToArray(); + _stripes = Array.Empty>(); + + if (_edges.Length == 0) + { + _yMin = 0; + _stripeHeight = 1; + _stripeCount = 1; + return; + } + + _yMin = _edges[0].a.Y; + long yMax = _edges[0].a.Y; + + foreach (StripeEdge e in _edges) + { + _yMin = Math.Min(_yMin, Math.Min(e.a.Y, e.b.Y)); + yMax = Math.Max(yMax, Math.Max(e.a.Y, e.b.Y)); + } + + _stripeCount = (int) Math.Sqrt(_edges.Length); + if (_stripeCount < 1) _stripeCount = 1; + if (_stripeCount > 65536) _stripeCount = 65536; + + long yRange = yMax - _yMin; + _stripeHeight = (yRange <= 0) ? 1 : (yRange + _stripeCount - 1) / _stripeCount; + + // Decline rings whose edges each span many stripes (tall "comb" edges); building + // costs O(n*sqrt n) but queries still scan most edges. Empty index = brute force. + long totalRefs = 0; + + foreach (StripeEdge e in _edges) + totalRefs += YToStripe(Math.Max(e.a.Y, e.b.Y)) - YToStripe(Math.Min(e.a.Y, e.b.Y)) + 1; + + if (totalRefs > (long) _edges.Length * 8) + { + _edges = Array.Empty(); + return; + } + + _stripes = new List[_stripeCount]; + for (int s = 0; s < _stripeCount; s++) + _stripes[s] = new List(); + + for (int i = 0; i < _edges.Length; i++) + { + StripeEdge e = _edges[i]; + int sMin = YToStripe(Math.Min(e.a.Y, e.b.Y)); + int sMax = YToStripe(Math.Max(e.a.Y, e.b.Y)); + + for (int s = sMin; s <= sMax; s++) + _stripes[s].Add(i); + } + } + + public void BuildFromPath(Path64 path) + { + List edges = new List(); + + if (path.Count >= 3) + { + edges.Capacity = path.Count; + + for (int i = 0, j = path.Count - 1; i < path.Count; j = i++) + if (path[j].X != path[i].X || path[j].Y != path[i].Y) + edges.Add(new StripeEdge { a = path[j], b = path[i] }); + } + + Build(edges); + } + + internal void BuildFromRing(OutPt? op) + { + List edges = new List(); + + if (op != null && op.next != op && op.prev != op.next) + { + OutPt cur = op; + + do + { + OutPt nxt = cur.next!; + + if (cur.pt.X != nxt.pt.X || cur.pt.Y != nxt.pt.Y) + edges.Add(new StripeEdge { a = cur.pt, b = nxt.pt }); + + cur = nxt; + } while (cur != op); + } + + Build(edges); + } + + public PointInPolygonResult PointInPolygon(Point64 pt) + { + if (_edges.Length == 0) return PointInPolygonResult.IsOutside; + + List stripe = _stripes[YToStripe(pt.Y)]; + bool inside = false; + + foreach (int idx in stripe) + { + StripeEdge e = _edges[idx]; + int cross = InternalClipper.CrossProductSign(e.a, e.b, pt); + + // On-segment needs the bbox check too; a stripe can hold edges collinear with + // pt's line yet off the actual segment. + if (cross == 0 && + pt.X >= Math.Min(e.a.X, e.b.X) && pt.X <= Math.Max(e.a.X, e.b.X) && + pt.Y >= Math.Min(e.a.Y, e.b.Y) && pt.Y <= Math.Max(e.a.Y, e.b.Y)) + return PointInPolygonResult.IsOn; + + // Half-open crossing, so horizontal edges never affect parity (they reach IsOn only). + if ((e.a.Y > pt.Y) != (e.b.Y > pt.Y)) + { + if (e.b.Y > pt.Y ? cross > 0 : cross < 0) + inside = !inside; + } + } + + return inside ? PointInPolygonResult.IsInside : PointInPolygonResult.IsOutside; + } } internal class HorzSegment @@ -374,6 +531,10 @@ public class ClipperBase public bool PreserveCollinear { get; set; } public bool ReverseSolution { get; set; } + // Owner rings above this vertex count use the StripeIndex during nesting; below it + // a brute-force walk is cheaper than building. Public so tests can force/disable. + public int PipIndexThreshold { get; set; } = 64; + #if USINGZ public delegate void ZCallback64(Point64 bot1, Point64 top1, Point64 bot2, Point64 top2, ref Point64 intersectPt); @@ -2734,6 +2895,49 @@ private static bool Path1InsidePath2(OutPt op1, OutPt op2) return InternalClipper.Path2ContainsPath1(GetCleanPath(op1), GetCleanPath(op2)); // (#973) } + // StripeIndex-accelerated variant of Path1InsidePath2, cached on the owner. Same + // ambiguity fallback, so nesting is unchanged. + private bool Path1InsidePath2Indexed(OutRec inner, OutRec owner) + { + if (owner.path.Count <= PipIndexThreshold) + return Path1InsidePath2(inner.pts!, owner.pts!); + + if (owner.pipIndex == null) + { + // Build into a local so a throw mid-build can't cache a partial index. + StripeIndex index = new StripeIndex(); + index.BuildFromRing(owner.pts); + owner.pipIndex = index; + } + + // Empty means the index declined an adversarial ring; brute force instead. + if (owner.pipIndex.Empty) + return Path1InsidePath2(inner.pts!, owner.pts!); + + PointInPolygonResult pip = PointInPolygonResult.IsOn; + OutPt op = inner.pts!; + + do + { + switch (owner.pipIndex.PointInPolygon(op.pt)) + { + case PointInPolygonResult.IsOutside: + if (pip == PointInPolygonResult.IsOutside) return false; + pip = PointInPolygonResult.IsOutside; + break; + case PointInPolygonResult.IsInside: + if (pip == PointInPolygonResult.IsInside) return true; + pip = PointInPolygonResult.IsInside; + break; + default: break; + } + op = op.next!; + } while (op != inner.pts); + + // result is unclear, so defer to the exact cleaned-path authority + return InternalClipper.Path2ContainsPath1(GetCleanPath(inner.pts!), GetCleanPath(owner.pts!)); // (#973) + } + private static void MoveSplits(OutRec fromOr, OutRec toOr) { if (fromOr.splits == null) return; @@ -3083,7 +3287,7 @@ private bool CheckSplitOwner(OutRec outrec, List? splits) if (!CheckBounds(split) || !split.bounds.Contains(outrec.bounds) || - !Path1InsidePath2(outrec.pts!, split.pts!)) continue; + !Path1InsidePath2Indexed(outrec, split)) continue; if (!IsValidOwner(outrec, split)) // split is owned by outrec (#957) split.owner = outrec.owner; @@ -3105,7 +3309,7 @@ private void RecursiveCheckOwners(OutRec outrec, PolyPathBase polypath) if (outrec.owner.splits != null && CheckSplitOwner(outrec, outrec.owner.splits)) break; if (outrec.owner.pts != null && CheckBounds(outrec.owner) && - Path1InsidePath2(outrec.pts!, outrec.owner.pts!)) break; + Path1InsidePath2Indexed(outrec, outrec.owner)) break; outrec.owner = outrec.owner.owner; } diff --git a/CSharp/Clipper2Lib/PooledList.cs b/CSharp/Clipper2Lib/PooledList.cs index 3388ffb3e..8a2fdaed2 100644 --- a/CSharp/Clipper2Lib/PooledList.cs +++ b/CSharp/Clipper2Lib/PooledList.cs @@ -110,6 +110,7 @@ public OutRec Add() outRec.isOpen = false; outRec.splits?.Clear(); outRec.recursiveSplit = null; + outRec.pipIndex = null; // drop any stale index from a prior Execute } _size++; return outRec; @@ -133,6 +134,7 @@ public override void Clear() active.pts = null; active.polypath = null; active.recursiveSplit = null; + active.pipIndex = null; } } } diff --git a/CSharp/Tests/Tests1/Tests/TestLines.cs b/CSharp/Tests/Tests1/Tests/TestLines.cs index e26e27f2b..78cf4b26e 100644 --- a/CSharp/Tests/Tests1/Tests/TestLines.cs +++ b/CSharp/Tests/Tests1/Tests/TestLines.cs @@ -16,7 +16,7 @@ public void TestOpenPaths() Paths64 subj = new(), subj_open = new(), clip = new(); Paths64 solution = new(), solution_open = new(); - Assert.IsTrue(ClipperFileIO.LoadTestNum("..\\..\\..\\..\\..\\..\\Tests\\Lines.txt", + Assert.IsTrue(ClipperFileIO.LoadTestNum("../../../../../../Tests/Lines.txt", i, subj, subj_open, clip, out ClipType clipType, out FillRule fillrule, out long area, out int count, out _), string.Format("Loading test {0} failed.", i)); diff --git a/CSharp/Tests/Tests1/Tests/TestPolygons.cs b/CSharp/Tests/Tests1/Tests/TestPolygons.cs index 2a0a3535b..8773a2404 100644 --- a/CSharp/Tests/Tests1/Tests/TestPolygons.cs +++ b/CSharp/Tests/Tests1/Tests/TestPolygons.cs @@ -24,7 +24,7 @@ public void TestClosedPaths() Paths64 subj = new(), subj_open = new (), clip = new(); Paths64 solution = new(), solution_open = new(); - if (!ClipperFileIO.LoadTestNum("..\\..\\..\\..\\..\\..\\Tests\\Polygons.txt", + if (!ClipperFileIO.LoadTestNum("../../../../../../Tests/Polygons.txt", testNum, subj, subj_open, clip, out ClipType clipType, out FillRule fillrule, out long storedArea, out int storedCount, out _)) { diff --git a/CSharp/Tests/Tests1/Tests/TestPolytree.cs b/CSharp/Tests/Tests1/Tests/TestPolytree.cs index 0301cfeb9..a469114cc 100644 --- a/CSharp/Tests/Tests1/Tests/TestPolytree.cs +++ b/CSharp/Tests/Tests1/Tests/TestPolytree.cs @@ -61,7 +61,7 @@ public void TestPolytree2() { Paths64 subject = new(), subjectOpen = new(), clip = new(); - Assert.IsTrue(ClipperFileIO.LoadTestNum("..\\..\\..\\..\\..\\..\\Tests\\PolytreeHoleOwner2.txt", + Assert.IsTrue(ClipperFileIO.LoadTestNum("../../../../../../Tests/PolytreeHoleOwner2.txt", 1, subject, subjectOpen, clip, out ClipType cliptype, out FillRule fillrule, out _, out _, out _), "Unable to read PolytreeHoleOwner2.txt"); diff --git a/CSharp/Tests/Tests1/Tests/TestStripeIndex.cs b/CSharp/Tests/Tests1/Tests/TestStripeIndex.cs new file mode 100644 index 000000000..770b982a1 --- /dev/null +++ b/CSharp/Tests/Tests1/Tests/TestStripeIndex.cs @@ -0,0 +1,496 @@ +using System; +using System.Collections.Generic; +using System.IO; +using System.Text; +using Microsoft.VisualStudio.TestTools.UnitTesting; + +#if USINGZ +using Clipper2ZLib; +namespace Clipper2ZLib.UnitTests +#else +using Clipper2Lib; +namespace Clipper2Lib.UnitTests +#endif +{ + [TestClass] + public class TestStripeIndex + { + private static Path64 MakeSquare(long size) + { + return new Path64 + { + new Point64(0, 0), new Point64(size, 0), + new Point64(size, size), new Point64(0, size) + }; + } + + // A many-edged ring so the index spans several stripes (sqrt(edges) > 1). + private static Path64 MakeCircle(long r, int n) + { + Path64 p = new Path64(n); + + for (int i = 0; i < n; i++) + { + double a = 2.0 * Math.PI * i / n; + p.Add(new Point64((long) Math.Round(r * Math.Cos(a)), + (long) Math.Round(r * Math.Sin(a)))); + } + + return p; + } + + // Independent boundary ground truth, so non-boundary points assert exact equality + // rather than skipping on IsOn (which would hide a spurious IsOn). + private static bool IsOnAnySegment(Path64 poly, Point64 pt) + { + for (int i = 0, j = poly.Count - 1; i < poly.Count; j = i++) + { + Point64 a = poly[j]; + Point64 b = poly[i]; + + if (InternalClipper.CrossProductSign(a, b, pt) != 0) continue; + + if (pt.X >= Math.Min(a.X, b.X) && pt.X <= Math.Max(a.X, b.X) && + pt.Y >= Math.Min(a.Y, b.Y) && pt.Y <= Math.Max(a.Y, b.Y)) + return true; + } + + return false; + } + + // Deterministic LCG so the fuzz is reproducible. + private sealed class Lcg + { + private ulong _state; + + public Lcg(ulong seed) { _state = seed; } + + public long Next(long lo, long hi) + { + _state = _state * 6364136223846793005UL + 1442695040888963407UL; + ulong span = (ulong) (hi - lo + 1); + return lo + (long) ((_state >> 33) % span); + } + } + + [TestMethod] + public void InsidePoint() + { + StripeIndex index = new StripeIndex(); + index.BuildFromPath(MakeSquare(100)); + + Assert.AreEqual(PointInPolygonResult.IsInside, index.PointInPolygon(new Point64(50, 50))); + } + + [TestMethod] + public void OutsidePoint() + { + StripeIndex index = new StripeIndex(); + index.BuildFromPath(MakeSquare(100)); + + Assert.AreEqual(PointInPolygonResult.IsOutside, index.PointInPolygon(new Point64(150, 50))); + Assert.AreEqual(PointInPolygonResult.IsOutside, index.PointInPolygon(new Point64(-10, 50))); + Assert.AreEqual(PointInPolygonResult.IsOutside, index.PointInPolygon(new Point64(50, 200))); + Assert.AreEqual(PointInPolygonResult.IsOutside, index.PointInPolygon(new Point64(50, -5))); + } + + [TestMethod] + public void OnEdge() + { + StripeIndex index = new StripeIndex(); + index.BuildFromPath(MakeSquare(100)); + + Assert.AreEqual(PointInPolygonResult.IsOn, index.PointInPolygon(new Point64(50, 0))); // bottom (horizontal) + Assert.AreEqual(PointInPolygonResult.IsOn, index.PointInPolygon(new Point64(100, 50))); // right (vertical) + } + + [TestMethod] + public void OnVertex() + { + StripeIndex index = new StripeIndex(); + index.BuildFromPath(MakeSquare(100)); + + Assert.AreEqual(PointInPolygonResult.IsOn, index.PointInPolygon(new Point64(0, 0))); + Assert.AreEqual(PointInPolygonResult.IsOn, index.PointInPolygon(new Point64(100, 100))); + } + + [TestMethod] + public void CollinearExtensionIsNotOn() + { + // Collinear with an edge's line but past the segment, sharing its stripe: not IsOn. + StripeIndex index = new StripeIndex(); + index.BuildFromPath(MakeSquare(100)); + + Assert.AreEqual(PointInPolygonResult.IsOutside, index.PointInPolygon(new Point64(200, 0))); + Assert.AreEqual(PointInPolygonResult.IsOutside, index.PointInPolygon(new Point64(-50, 0))); + Assert.AreEqual(PointInPolygonResult.IsOutside, index.PointInPolygon(new Point64(100, 200))); + } + + [TestMethod] + public void MatchesBruteForceOnConcavePolygon() + { + // A concave "C" shape exercises the parity logic on a non-convex ring. + Path64 poly = new Path64 + { + new Point64(0, 0), new Point64(100, 0), new Point64(100, 30), new Point64(30, 30), + new Point64(30, 70), new Point64(100, 70), new Point64(100, 100), new Point64(0, 100) + }; + + StripeIndex index = new StripeIndex(); + index.BuildFromPath(poly); + + for (long y = -5; y <= 105; y += 3) + { + for (long x = -5; x <= 105; x += 3) + { + Point64 pt = new Point64(x, y); + PointInPolygonResult actual = index.PointInPolygon(pt); + + if (IsOnAnySegment(poly, pt)) + Assert.AreEqual(PointInPolygonResult.IsOn, actual, $"boundary at ({x},{y})"); + else + Assert.AreEqual(Clipper.PointInPolygon(pt, poly), actual, $"mismatch at ({x},{y})"); + } + } + } + + [TestMethod] + public void DegeneratePathsAreOutside() + { + StripeIndex empty = new StripeIndex(); + empty.BuildFromPath(new Path64()); + Assert.IsTrue(empty.Empty); + Assert.AreEqual(PointInPolygonResult.IsOutside, empty.PointInPolygon(new Point64(0, 0))); + + StripeIndex segment = new StripeIndex(); + segment.BuildFromPath(new Path64 { new Point64(0, 0), new Point64(10, 0) }); + Assert.AreEqual(PointInPolygonResult.IsOutside, segment.PointInPolygon(new Point64(5, 0))); + } + + [TestMethod] + public void MultiStripeMatchesBruteForce() + { + Path64 poly = MakeCircle(10000, 256); + Assert.IsTrue(poly.Count > 64); // ensures sqrt(edges) yields several stripes + + StripeIndex index = new StripeIndex(); + index.BuildFromPath(poly); + + Lcg rng = new Lcg(0x9E3779B97F4A7C15UL); + int checked_ = 0; + + for (int i = 0; i < 20000; i++) + { + Point64 pt = new Point64(rng.Next(-10200, 10200), rng.Next(-10200, 10200)); + PointInPolygonResult actual = index.PointInPolygon(pt); + + if (IsOnAnySegment(poly, pt)) + Assert.AreEqual(PointInPolygonResult.IsOn, actual, $"boundary at ({pt.X},{pt.Y})"); + else + { + Assert.AreEqual(Clipper.PointInPolygon(pt, poly), actual, $"mismatch at ({pt.X},{pt.Y})"); + ++checked_; + } + } + + Assert.IsTrue(checked_ > 1000); // exercised enough non-boundary points + } + + [TestMethod] + public void AllHorizontalRingHasNoInterior() + { + // Zero-area ring (all vertices on one row) has no interior. Half-open convention + // keeps horizontal edges out of parity, so nothing fabricates an inside. + Path64 poly = new Path64 + { + new Point64(0, 10), new Point64(50, 10), new Point64(100, 10) + }; + + StripeIndex index = new StripeIndex(); + index.BuildFromPath(poly); + + Assert.AreEqual(PointInPolygonResult.IsOutside, index.PointInPolygon(new Point64(50, 0))); + Assert.AreEqual(PointInPolygonResult.IsOutside, index.PointInPolygon(new Point64(50, 20))); + Assert.AreEqual(PointInPolygonResult.IsOutside, index.PointInPolygon(new Point64(200, 10))); + } + + [TestMethod] + public void BoundaryRowPointsMatchBruteForce() + { + // Points on the y_min, y_max and vertex rows stress half-open parity and stripe clamping. + Path64 poly = new Path64 + { + new Point64(0, 0), new Point64(100, 0), new Point64(60, 50), + new Point64(100, 100), new Point64(0, 100), new Point64(40, 50) + }; + + StripeIndex index = new StripeIndex(); + index.BuildFromPath(poly); + + foreach (long y in new long[] { 0, 50, 100 }) + { + for (long x = -10; x <= 110; x++) + { + Point64 pt = new Point64(x, y); + PointInPolygonResult actual = index.PointInPolygon(pt); + + if (IsOnAnySegment(poly, pt)) + Assert.AreEqual(PointInPolygonResult.IsOn, actual, $"boundary at ({x},{y})"); + else + Assert.AreEqual(Clipper.PointInPolygon(pt, poly), actual, $"mismatch at ({x},{y})"); + } + } + } + + // BuildFromRing is internal (takes OutPt); the PolyTree differentials below exercise it. + + [TestMethod] + public void AdversarialCombRingDeclinesIndexing() + { + // Every edge spans the full Y range, landing in every stripe, so the index declines + // and stays empty (callers fall back to brute force). + const long height = 100000; + Path64 comb = new Path64(); + + for (int i = 0; i < 200; i++) + comb.Add(new Point64(i, (i & 1) == 1 ? height : 0)); + + StripeIndex index = new StripeIndex(); + index.BuildFromPath(comb); + + Assert.IsTrue(index.Empty); + } + + // --- PolyTree nesting differentials ----------------------------------- + + // FNV-1a hash of a polygon's coordinates, so the tree signature distinguishes + // nodes with the same vertex count and area but different geometry. + private static ulong HashPolygon(Path64 poly) + { + ulong h = 1469598103934665603UL; + + foreach (Point64 pt in poly) + { + h = (h ^ (ulong) pt.X) * 1099511628211UL; + h = (h ^ (ulong) pt.Y) * 1099511628211UL; + } + + return h; + } + + // Depth-first signature (level, hole flag, vertex count, coord hash per node) for + // exact tree comparison. + private static void SerializeTree(PolyPath64 node, StringBuilder sb) + { + for (int i = 0; i < node.Count; i++) + { + PolyPath64 c = node[i]; + sb.Append(c.Level); + sb.Append(c.IsHole ? 'H' : 'S'); + sb.Append(c.Polygon!.Count); + sb.Append(':'); + sb.Append(HashPolygon(c.Polygon!)); + sb.Append(';'); + SerializeTree(c, sb); + } + } + + private static string UnionTreeSignature(Paths64 subject, int threshold) + { + Clipper64 clipper = new Clipper64(); + clipper.PipIndexThreshold = threshold; + clipper.AddSubject(subject); + + PolyTree64 tree = new PolyTree64(); + Paths64 open = new Paths64(); + clipper.Execute(ClipType.Union, FillRule.EvenOdd, tree, open); + + StringBuilder sb = new StringBuilder(); + SerializeTree(tree, sb); + return sb.ToString(); + } + + [TestMethod] + public void NestedPolyTreeIdenticalWithAndWithoutIndex() + { + // Concentric circles under EvenOdd deeply nest solids and holes, exercising owner + // determination. + Paths64 subject = new Paths64 + { + MakeCircle(10000, 220), MakeCircle(7500, 200), + MakeCircle(5000, 180), MakeCircle(2500, 160) + }; + + string brute = UnionTreeSignature(subject, int.MaxValue); // force brute force + string indexed = UnionTreeSignature(subject, 1); // force stripe index + + Assert.IsFalse(string.IsNullOrEmpty(brute)); + Assert.IsTrue(brute.Contains('H')); // confirm the tree really nests + Assert.AreEqual(brute, indexed); + } + + [TestMethod] + public void IndexNotStaleAcrossReusedClipper() + { + // Clipper64 pools OutRec across Execute calls; if the cached index isn't cleared on + // reuse, the second run reads an index built from the first run's geometry. + Paths64 first = new Paths64 + { + MakeCircle(10000, 220), MakeCircle(7500, 200), MakeCircle(5000, 180) + }; + Paths64 second = new Paths64 + { + MakeCircle(8000, 200), MakeCircle(5500, 180), MakeCircle(3000, 160) + }; + + Clipper64 reused = new Clipper64(); + reused.PipIndexThreshold = 1; // force the index on both runs + + PolyTree64 t1 = new PolyTree64(); + Paths64 open1 = new Paths64(); + reused.AddSubject(first); + reused.Execute(ClipType.Union, FillRule.EvenOdd, t1, open1); + + reused.Clear(); + + PolyTree64 t2 = new PolyTree64(); + Paths64 open2 = new Paths64(); + reused.AddSubject(second); + reused.Execute(ClipType.Union, FillRule.EvenOdd, t2, open2); + + StringBuilder reusedSig = new StringBuilder(); + SerializeTree(t2, reusedSig); + + // A fresh clipper on the same second input is the ground truth. + string freshSig = UnionTreeSignature(second, 1); + + Assert.IsFalse(string.IsNullOrEmpty(reusedSig.ToString())); + Assert.AreEqual(freshSig, reusedSig.ToString()); + } + + // --- Real-world stress differentials ---------------------------------- + // Large fractured polygons, one parent owning 1000+ children. Skip if data files absent. + + private sealed class TreeStats + { + public int Nodes; + public int MaxChildren; + public int Holes; + } + + private static void GatherStats(PolyPath64 node, TreeStats s) + { + if (node.Count > s.MaxChildren) s.MaxChildren = node.Count; + + for (int i = 0; i < node.Count; i++) + { + PolyPath64 c = node[i]; + ++s.Nodes; + + if (c.IsHole) ++s.Holes; + + GatherStats(c, s); + } + } + + // Walk up to the repo Tests folder so data files resolve regardless of build layout. + private static string? FindTestFile(string name) + { + DirectoryInfo? dir = new DirectoryInfo(Directory.GetCurrentDirectory()); + + while (dir != null) + { + string candidate = Path.Combine(dir.FullName, "Tests", name); + if (File.Exists(candidate)) return candidate; + + dir = dir.Parent; + } + + return null; + } + + private static string TreeSignature(Paths64 subj, Paths64 clip, + ClipType ct, FillRule fr, int threshold) + { + Clipper64 clipper = new Clipper64(); + clipper.PipIndexThreshold = threshold; + clipper.AddSubject(subj); + clipper.AddClip(clip); + + PolyTree64 tree = new PolyTree64(); + Paths64 open = new Paths64(); + clipper.Execute(ct, fr, tree, open); + + StringBuilder sb = new StringBuilder(); + SerializeTree(tree, sb); + return sb.ToString(); + } + + [TestMethod] + public void SubtractTreeIdenticalWithAndWithoutIndex() + { + string? file = FindTestFile("clipper_subtract.txt"); + if (file == null) Assert.Inconclusive("clipper_subtract.txt not present"); + + Paths64 subj = new Paths64(), subjOpen = new Paths64(), clip = new Paths64(); + Assert.IsTrue(ClipperFileIO.LoadTestNum(file!, 1, subj, subjOpen, clip, + out ClipType ct, out FillRule fr, out _, out _, out _), + "failed to load clipper_subtract.txt"); + + Clipper64 clipper = new Clipper64(); + clipper.PipIndexThreshold = int.MaxValue; + clipper.AddSubject(subj); + clipper.AddClip(clip); + PolyTree64 bruteTree = new PolyTree64(); + Paths64 open = new Paths64(); + clipper.Execute(ct, fr, bruteTree, open); + + TreeStats stats = new TreeStats(); + GatherStats(bruteTree, stats); + Assert.IsTrue(stats.MaxChildren > 1000, $"max_children={stats.MaxChildren}"); // heavy single-parent nesting + Assert.IsTrue(stats.Holes > 0); + + StringBuilder sb = new StringBuilder(); + SerializeTree(bruteTree, sb); + string brute = sb.ToString(); + string indexed = TreeSignature(subj, clip, ct, fr, 1); + + Assert.IsFalse(string.IsNullOrEmpty(brute)); + Assert.AreEqual(brute, indexed); + } + + [TestMethod] + public void InflateUnionTreeIdenticalWithAndWithoutIndex() + { + string? file = FindTestFile("clipper_inflate.txt"); + if (file == null) Assert.Inconclusive("clipper_inflate.txt not present"); + + Paths64 subj = new Paths64(), subjOpen = new Paths64(), clip = new Paths64(); + Assert.IsTrue(ClipperFileIO.LoadTestNum(file!, 1, subj, subjOpen, clip, + out _, out _, out _, out _, out _), + "failed to load clipper_inflate.txt"); + + // OFFSET case; union its subjects to exercise nesting on the large real polygon. + Clipper64 clipper = new Clipper64(); + clipper.PipIndexThreshold = int.MaxValue; + clipper.AddSubject(subj); + PolyTree64 bruteTree = new PolyTree64(); + Paths64 open = new Paths64(); + clipper.Execute(ClipType.Union, FillRule.NonZero, bruteTree, open); + + TreeStats stats = new TreeStats(); + GatherStats(bruteTree, stats); + Assert.IsTrue(stats.MaxChildren > 500, $"max_children={stats.MaxChildren}"); // substantial nesting + Assert.IsTrue(stats.Holes > 0); + + StringBuilder sb = new StringBuilder(); + SerializeTree(bruteTree, sb); + string brute = sb.ToString(); + // Use the production default threshold; the subtract case forces the index (threshold 1). + string indexed = TreeSignature(subj, new Paths64(), ClipType.Union, FillRule.NonZero, 64); + + Assert.IsFalse(string.IsNullOrEmpty(brute)); + Assert.AreEqual(brute, indexed); + } + } +} diff --git a/Delphi/Clipper2Lib/Clipper.Engine.pas b/Delphi/Clipper2Lib/Clipper.Engine.pas index fba641eae..ca81d3115 100644 --- a/Delphi/Clipper2Lib/Clipper.Engine.pas +++ b/Delphi/Clipper2Lib/Clipper.Engine.pas @@ -70,6 +70,7 @@ TReuseableDataContainer64 = class PHorzSegment = ^THorzSegment; PHorzJoin = ^THorzJoin; PActive = ^TActive; + TStripeIndex = class; TPolyPathBase = class; TPolyTree64 = class; TPolyTreeD = class; @@ -87,6 +88,33 @@ TOutPt = record TOutRecArray = array of POutRec; THorzPosition = (hpBottom, hpMiddle, hpTop); + // Buckets a ring's edges into sqrt(n) horizontal Y stripes so a PIP query only + // scans the stripe spanning pt.Y. Amortizes over the many child-vertex tests + // of PolyTree nesting (after KiCad's POLY_YSTRIPES_INDEX). + TStripeEdge = record + a, b: TPoint64; + end; + TStripeEdgeArray = array of TStripeEdge; + TInt32Array = array of Int32; + TStripeArray = array of TInt32Array; + + TStripeIndex = class + {$IFDEF STRICT}strict{$ENDIF} private + FEdges : TStripeEdgeArray; + FStripes : TStripeArray; + FYMin : Int64; + FStripeHeight: Int64; + FStripeCount : Integer; + function YToStripe(y: Int64): Integer; + procedure Build(const edges: TStripeEdgeArray; edgeCount: Integer); + public + procedure BuildFromPath(const path: TPath64); + procedure BuildFromRing(op: POutPt); + function PointInPolygon(const pt: TPoint64): TPointInPolygonResult; + function EdgeCount: Integer; + function IsEmpty: Boolean; + end; + // OutRec: path data structure for clipping solutions TOutRec = record idx : Integer; @@ -100,6 +128,9 @@ TOutRec = record bounds : TRect64; path : TPath64; isOpen : Boolean; + // Lazy PIP accelerator, built during nesting; valid only while pts is stable. + // Owned here, freed in DisposeOutPts and TOutRecList.Clear. + pipIndex : TStripeIndex; end; TOutRecList = class(TListEx) @@ -218,6 +249,9 @@ TClipperBase = class FLocMinListSorted : Boolean; FSucceeded : Boolean; FReverseSolution : Boolean; + // Owner ring vertex count above which nesting builds a StripeIndex instead + // of walking edges per vertex. + FPipIndexThreshold : Integer; {$IFDEF USINGZ} fDefaultZ : Ztype; fZCallback : TZCallback64; @@ -271,6 +305,7 @@ TClipperBase = class procedure FixSelfIntersects(outrec: POutRec); function CheckBounds(outrec: POutRec): Boolean; function CheckSplitOwner(outrec: POutRec; const splits: TOutRecArray): Boolean; + function Path1InsidePath2Indexed(op1: POutPt; owner: POutRec): Boolean; procedure RecursiveCheckOwners(outrec: POutRec; polytree: TPolyPathBase); protected FUsingPolytree : Boolean; @@ -299,6 +334,10 @@ TClipperBase = class FPreserveCollinear write FPreserveCollinear; property ReverseSolution: Boolean read FReverseSolution write FReverseSolution; + // Owner vertex count above which nesting builds a StripeIndex. Exposed so + // tests can force the indexed or brute-force path; default 64. + property PipIndexThreshold: Integer read + FPipIndexThreshold write FPipIndexThreshold; end; TClipper64 = class(TClipperBase) // for integer coordinates @@ -470,6 +509,8 @@ procedure TOutRecList.Clear; for i := 0 to Count -1 do begin por := UnsafeGet(i); + if Assigned(por.pipIndex) then + por.pipIndex.Free; if Assigned(por.pts) then begin op := por.pts; @@ -869,6 +910,228 @@ function GetCleanPath(op: POutPt): TPath64; SetLength(Result, cnt); end; +//------------------------------------------------------------------------------ +// TStripeIndex +//------------------------------------------------------------------------------ + +function TStripeIndex.YToStripe(y: Int64): Integer; +var + s: Int64; +begin + s := (y - FYMin) div FStripeHeight; + if s < 0 then Result := 0 + else if s >= FStripeCount then Result := FStripeCount - 1 + else Result := Integer(s); +end; +//------------------------------------------------------------------------------ + +procedure TStripeIndex.Build(const edges: TStripeEdgeArray; edgeCount: Integer); +var + i, s, sMin, sMax: Integer; + yMax, yRange, totalRefs: Int64; + e: TStripeEdge; + counts: array of Integer; +begin + SetLength(FEdges, edgeCount); + for i := 0 to edgeCount - 1 do + FEdges[i] := edges[i]; + FStripes := nil; + + if edgeCount = 0 then + begin + FYMin := 0; + FStripeHeight := 1; + FStripeCount := 1; + Exit; + end; + + FYMin := FEdges[0].a.Y; + yMax := FEdges[0].a.Y; + for i := 0 to edgeCount - 1 do + begin + e := FEdges[i]; + FYMin := Min(FYMin, Min(e.a.Y, e.b.Y)); + yMax := Max(yMax, Max(e.a.Y, e.b.Y)); + end; + + FStripeCount := Trunc(Sqrt(edgeCount)); + if FStripeCount < 1 then FStripeCount := 1; + if FStripeCount > 65536 then FStripeCount := 65536; + + yRange := yMax - FYMin; + if yRange <= 0 then FStripeHeight := 1 + else FStripeHeight := (yRange + FStripeCount - 1) div FStripeCount; + + // Decline rings whose edges each span many stripes (tall "comb" edges) where + // indexing loses to brute force. Empty FEdges signals callers to fall back. + totalRefs := 0; + for i := 0 to edgeCount - 1 do + begin + e := FEdges[i]; + totalRefs := totalRefs + + (YToStripe(Max(e.a.Y, e.b.Y)) - YToStripe(Min(e.a.Y, e.b.Y)) + 1); + end; + + if totalRefs > Int64(edgeCount) * 8 then + begin + FEdges := nil; + Exit; + end; + + // Two-pass fill (count then place) so each stripe is sized once, not grown + // per element (O(n^2)). + SetLength(FStripes, FStripeCount); + SetLength(counts, FStripeCount); + + for i := 0 to edgeCount - 1 do + begin + e := FEdges[i]; + sMin := YToStripe(Min(e.a.Y, e.b.Y)); + sMax := YToStripe(Max(e.a.Y, e.b.Y)); + for s := sMin to sMax do + Inc(counts[s]); + end; + + for s := 0 to FStripeCount - 1 do + begin + SetLength(FStripes[s], counts[s]); + counts[s] := 0; // reuse as a write cursor + end; + + for i := 0 to edgeCount - 1 do + begin + e := FEdges[i]; + sMin := YToStripe(Min(e.a.Y, e.b.Y)); + sMax := YToStripe(Max(e.a.Y, e.b.Y)); + for s := sMin to sMax do + begin + FStripes[s][counts[s]] := Int32(i); + Inc(counts[s]); + end; + end; +end; +//------------------------------------------------------------------------------ + +procedure TStripeIndex.BuildFromPath(const path: TPath64); +var + edges: TStripeEdgeArray; + i, j, cnt: Integer; +begin + cnt := 0; + if Length(path) >= 3 then + begin + SetLength(edges, Length(path)); + j := Length(path) - 1; + for i := 0 to Length(path) - 1 do + begin + if (path[j].X <> path[i].X) or (path[j].Y <> path[i].Y) then + begin + edges[cnt].a := path[j]; + edges[cnt].b := path[i]; + inc(cnt); + end; + j := i; + end; + end; + Build(edges, cnt); +end; +//------------------------------------------------------------------------------ + +procedure TStripeIndex.BuildFromRing(op: POutPt); +var + edges: TStripeEdgeArray; + cur, nxt: POutPt; + cnt, cap: Integer; +begin + cnt := 0; + if Assigned(op) and (op.next <> op) and (op.prev <> op.next) then + begin + cap := 8; + SetLength(edges, cap); + cur := op; + repeat + nxt := cur.next; + if (cur.pt.X <> nxt.pt.X) or (cur.pt.Y <> nxt.pt.Y) then + begin + if cnt = cap then + begin + cap := cap * 2; + SetLength(edges, cap); + end; + edges[cnt].a := cur.pt; + edges[cnt].b := nxt.pt; + inc(cnt); + end; + cur := nxt; + until cur = op; + end; + Build(edges, cnt); +end; +//------------------------------------------------------------------------------ + +function TStripeIndex.PointInPolygon(const pt: TPoint64): TPointInPolygonResult; +var + i, idx, cross: Integer; + inside: Boolean; + stripe: TInt32Array; + e: TStripeEdge; +begin + if Length(FEdges) = 0 then + begin + Result := pipOutside; + Exit; + end; + + stripe := FStripes[YToStripe(pt.Y)]; + inside := false; + + for i := 0 to High(stripe) do + begin + idx := stripe[i]; + e := FEdges[idx]; + cross := CrossProductSign(e.a, e.b, pt); + + // On-segment needs the bbox check too; collinear alone is not enough since a + // stripe can hold edges collinear with pt's line but off the actual segment. + if (cross = 0) and + (pt.X >= Min(e.a.X, e.b.X)) and (pt.X <= Max(e.a.X, e.b.X)) and + (pt.Y >= Min(e.a.Y, e.b.Y)) and (pt.Y <= Max(e.a.Y, e.b.Y)) then + begin + Result := pipOn; + Exit; + end; + + // Half-open crossing so horizontal edges never flip parity. cross <> 0 here, + // so a straddling edge is a genuine crossing, not a touch. + if (e.a.Y > pt.Y) <> (e.b.Y > pt.Y) then + begin + if (e.b.Y > pt.Y) then + begin + if cross > 0 then inside := not inside; + end + else + begin + if cross < 0 then inside := not inside; + end; + end; + end; + + if inside then Result := pipInside else Result := pipOutside; +end; +//------------------------------------------------------------------------------ + +function TStripeIndex.EdgeCount: Integer; +begin + Result := Length(FEdges); +end; +//------------------------------------------------------------------------------ + +function TStripeIndex.IsEmpty: Boolean; +begin + Result := Length(FEdges) = 0; +end; +//------------------------------------------------------------------------------ + function PointInOpPolygon(const pt: TPoint64; op: POutPt): TPointInPolygonResult; var val: Integer; @@ -1386,6 +1649,7 @@ constructor TClipperBase.Create; FHorzJoinList := THorzJoinList.Create; FPreserveCollinear := true; FReverseSolution := false; + FPipIndexThreshold := 64; end; //------------------------------------------------------------------------------ @@ -2076,6 +2340,12 @@ procedure DisposeOutPts(outrec: POutRec); {$IFDEF INLINING} inline; {$ENDIF} var op, tmpOp: POutPt; begin + // Index is tied to this ring; disposing the ring invalidates it, so free it here. + if Assigned(outrec.pipIndex) then + begin + outrec.pipIndex.Free; + outrec.pipIndex := nil; + end; op := outrec.pts; op.prev.next := nil; while Assigned(op) do @@ -3732,6 +4002,64 @@ function TClipperBase.CheckBounds(outrec: POutRec): Boolean; end; //------------------------------------------------------------------------------ +function TClipperBase.Path1InsidePath2Indexed(op1: POutPt; owner: POutRec): Boolean; +var + op : POutPt; + pip : TPointInPolygonResult; + idx : TStripeIndex; +begin + // Indexed variant of Path1InsidePath2 using a StripeIndex cached on owner. + // Same ambiguity fallback, so nesting results are unchanged. + if Length(owner.path) <= FPipIndexThreshold then + begin + Result := Path1InsidePath2(op1, owner.pts); + Exit; + end; + + if not Assigned(owner.pipIndex) then + begin + // Build into a local first so a mid-build throw leaves no partial index cached. + idx := TStripeIndex.Create; + try + idx.BuildFromRing(owner.pts); + except + idx.Free; + raise; + end; + owner.pipIndex := idx; + end; + + // Index declines adversarial rings (see TStripeIndex.Build); brute force then. + if owner.pipIndex.IsEmpty then + begin + Result := Path1InsidePath2(op1, owner.pts); + Exit; + end; + + Result := false; + pip := pipOn; + op := op1; + repeat + case owner.pipIndex.PointInPolygon(op.pt) of + pipOutside: + begin + if (pip = pipOutside) then Exit; + pip := pipOutside; + end; + pipInside: + begin + if (pip = pipInside) then begin Result := true; Exit; end; + pip := pipInside; + end; + end; + op := op.next; + until (op = op1); + + // result unclear, so defer to the exact cleaned-path authority + Result := Path2ContainsPath1(GetCleanPath(op1), GetCleanPath(owner.pts)); // (#973) +end; +//------------------------------------------------------------------------------ + function TClipperBase.CheckSplitOwner(outrec: POutRec; const splits: TOutRecArray): Boolean; var i : integer; @@ -3759,7 +4087,7 @@ function TClipperBase.CheckSplitOwner(outrec: POutRec; const splits: TOutRecArra if not CheckBounds(split) or not split.bounds.Contains(outrec.bounds) or - not Path1InsidePath2(outrec.pts, split.pts) then Continue; + not Path1InsidePath2Indexed(outrec.pts, split) then Continue; if not IsValidOwner(outrec, split) then // split is owned by outrec (#957) split.owner := outrec.owner; @@ -3787,7 +4115,7 @@ procedure TClipperBase.RecursiveCheckOwners(outrec: POutRec; polytree: TPolyPath if Assigned(outrec.owner.pts) and CheckBounds(outrec.owner) and (outrec.owner.bounds.Contains(outrec.bounds) and - Path1InsidePath2(outrec.pts, outrec.owner.pts)) then break; + Path1InsidePath2Indexed(outrec.pts, outrec.owner)) then break; outrec.owner := outrec.owner.owner; end; diff --git a/Delphi/Tests/StripeIndexQA/StripeIndexQA.dpr b/Delphi/Tests/StripeIndexQA/StripeIndexQA.dpr new file mode 100644 index 000000000..6a2b4af99 --- /dev/null +++ b/Delphi/Tests/StripeIndexQA/StripeIndexQA.dpr @@ -0,0 +1,430 @@ +program StripeIndexQA; + +// QA harness for the Delphi StripeIndex port, mirroring +// CPP/Tests/TestStripeIndex.cpp. Exits 0 on pass, nonzero (printing the failure) +// otherwise. + +{$APPTYPE CONSOLE} +{$I Clipper.inc} + +uses + SysUtils, + Math, + Clipper.Core, + Clipper.Engine; + +var + gFailures: Integer = 0; + +procedure Fail(const msg: string); +begin + Writeln('FAIL: ', msg); + Inc(gFailures); +end; + +procedure CheckTrue(cond: Boolean; const msg: string); +begin + if not cond then Fail(msg); +end; + +procedure CheckPip(actual, expected: TPointInPolygonResult; const msg: string); +const + Names: array[TPointInPolygonResult] of string = ('On', 'Inside', 'Outside'); +begin + if actual <> expected then + Fail(Format('%s expected=%s actual=%s', [msg, Names[expected], Names[actual]])); +end; + +function MakeSquare(size: Int64): TPath64; +begin + SetLength(Result, 4); + Result[0] := Point64(0, 0); + Result[1] := Point64(size, 0); + Result[2] := Point64(size, size); + Result[3] := Point64(0, size); +end; + +// Integer circle with enough vertices that sqrt(edges) yields several stripes. +function MakeCircle(r: Int64; n: Integer): TPath64; +var + i: Integer; + a: Double; +begin + SetLength(Result, n); + for i := 0 to n - 1 do + begin + a := 2.0 * Pi * i / n; + Result[i] := Point64(Round(r * Cos(a)), Round(r * Sin(a))); + end; +end; + +// Independent boundary check so non-boundary points can be asserted exactly. +function IsOnAnySegment(const poly: TPath64; const pt: TPoint64): Boolean; +var + i, j: Integer; + a, b: TPoint64; +begin + Result := false; + j := High(poly); + for i := 0 to High(poly) do + begin + a := poly[j]; + b := poly[i]; + j := i; + if CrossProductSign(a, b, pt) <> 0 then Continue; + if (pt.X >= Min(a.X, b.X)) and (pt.X <= Max(a.X, b.X)) and + (pt.Y >= Min(a.Y, b.Y)) and (pt.Y <= Max(a.Y, b.Y)) then + begin + Result := true; + Exit; + end; + end; +end; + +// Deterministic LCG so the coverage is reproducible. +type + TLcg = record + state: UInt64; + end; + +procedure LcgInit(var g: TLcg; seed: UInt64); +begin + g.state := seed; +end; + +function LcgNext(var g: TLcg; lo, hi: Int64): Int64; +var + span: UInt64; +begin + g.state := g.state * UInt64(6364136223846793005) + UInt64(1442695040888963407); + span := UInt64(hi - lo + 1); + Result := lo + Int64((g.state shr 33) mod span); +end; + +procedure TestBasicSquare; +var + idx: TStripeIndex; +begin + idx := TStripeIndex.Create; + try + idx.BuildFromPath(MakeSquare(100)); + + // inside + CheckPip(idx.PointInPolygon(Point64(50, 50)), pipInside, 'square inside'); + + // outside (all four directions) + CheckPip(idx.PointInPolygon(Point64(150, 50)), pipOutside, 'square outside right'); + CheckPip(idx.PointInPolygon(Point64(-10, 50)), pipOutside, 'square outside left'); + CheckPip(idx.PointInPolygon(Point64(50, 200)), pipOutside, 'square outside above'); + CheckPip(idx.PointInPolygon(Point64(50, -5)), pipOutside, 'square outside below'); + + // on-edge (horizontal + vertical) + CheckPip(idx.PointInPolygon(Point64(50, 0)), pipOn, 'square on bottom edge'); + CheckPip(idx.PointInPolygon(Point64(100, 50)), pipOn, 'square on right edge'); + + // on-vertex + CheckPip(idx.PointInPolygon(Point64(0, 0)), pipOn, 'square on origin vertex'); + CheckPip(idx.PointInPolygon(Point64(100, 100)), pipOn, 'square on far vertex'); + + // collinear-extension-not-On + CheckPip(idx.PointInPolygon(Point64(200, 0)), pipOutside, 'collinear past bottom'); + CheckPip(idx.PointInPolygon(Point64(-50, 0)), pipOutside, 'collinear before bottom'); + CheckPip(idx.PointInPolygon(Point64(100, 200)), pipOutside, 'collinear above right edge'); + finally + idx.Free; + end; +end; + +procedure TestConcaveMatchesBrute; +const + PolyArr: array[0..7] of TPoint64 = ( + (X: 0; Y: 0), (X: 100; Y: 0), (X: 100; Y: 30), (X: 30; Y: 30), + (X: 30; Y: 70), (X: 100; Y: 70), (X: 100; Y: 100), (X: 0; Y: 100)); +var + poly: TPath64; + idx: TStripeIndex; + x, y: Int64; + pt: TPoint64; + i: Integer; +begin + SetLength(poly, Length(PolyArr)); + for i := 0 to High(PolyArr) do poly[i] := PolyArr[i]; + + idx := TStripeIndex.Create; + try + idx.BuildFromPath(poly); + y := -5; + while y <= 105 do + begin + x := -5; + while x <= 105 do + begin + pt := Point64(x, y); + if IsOnAnySegment(poly, pt) then + CheckPip(idx.PointInPolygon(pt), pipOn, + Format('concave boundary at (%d,%d)', [x, y])) + else + CheckPip(idx.PointInPolygon(pt), PointInPolygon(pt, poly), + Format('concave mismatch at (%d,%d)', [x, y])); + Inc(x, 3); + end; + Inc(y, 3); + end; + finally + idx.Free; + end; +end; + +procedure TestMultiStripeMatchesBrute; +var + poly: TPath64; + idx: TStripeIndex; + rng: TLcg; + i, checked: Integer; + pt: TPoint64; +begin + poly := MakeCircle(10000, 256); + CheckTrue(Length(poly) > 64, 'circle needs > 64 vertices for several stripes'); + + idx := TStripeIndex.Create; + try + idx.BuildFromPath(poly); + CheckTrue(not idx.IsEmpty, 'circle index should not bail'); + + LcgInit(rng, UInt64($9E3779B97F4A7C15)); + checked := 0; + for i := 0 to 19999 do + begin + pt := Point64(LcgNext(rng, -10200, 10200), LcgNext(rng, -10200, 10200)); + if IsOnAnySegment(poly, pt) then + CheckPip(idx.PointInPolygon(pt), pipOn, + Format('circle boundary at (%d,%d)', [pt.X, pt.Y])) + else + begin + CheckPip(idx.PointInPolygon(pt), PointInPolygon(pt, poly), + Format('circle mismatch at (%d,%d)', [pt.X, pt.Y])); + Inc(checked); + end; + end; + CheckTrue(checked > 1000, 'circle fuzz should exercise > 1000 non-boundary points'); + finally + idx.Free; + end; +end; + +procedure TestAllHorizontalRing; +var + poly: TPath64; + idx: TStripeIndex; +begin + SetLength(poly, 3); + poly[0] := Point64(0, 10); + poly[1] := Point64(50, 10); + poly[2] := Point64(100, 10); + + idx := TStripeIndex.Create; + try + idx.BuildFromPath(poly); + CheckPip(idx.PointInPolygon(Point64(50, 0)), pipOutside, 'horiz ring below'); + CheckPip(idx.PointInPolygon(Point64(50, 20)), pipOutside, 'horiz ring above'); + CheckPip(idx.PointInPolygon(Point64(200, 10)), pipOutside, 'horiz ring collinear past'); + finally + idx.Free; + end; +end; + +procedure TestDegeneratePaths; +var + empty, seg: TStripeIndex; + path: TPath64; +begin + empty := TStripeIndex.Create; + try + SetLength(path, 0); + empty.BuildFromPath(path); + CheckTrue(empty.IsEmpty, 'empty path index should be empty'); + CheckPip(empty.PointInPolygon(Point64(0, 0)), pipOutside, 'empty path outside'); + finally + empty.Free; + end; + + seg := TStripeIndex.Create; + try + SetLength(path, 2); + path[0] := Point64(0, 0); + path[1] := Point64(10, 0); + seg.BuildFromPath(path); + CheckPip(seg.PointInPolygon(Point64(5, 0)), pipOutside, 'two-point path outside'); + finally + seg.Free; + end; +end; + +procedure TestAdversarialCombDeclines; +var + comb: TPath64; + idx: TStripeIndex; + i: Integer; + height: Int64; +begin + // Tall zigzag where every edge spans the full Y range, so the index must + // decline and leave itself empty. + height := 100000; + SetLength(comb, 200); + for i := 0 to 199 do + if Odd(i) then comb[i] := Point64(i, height) + else comb[i] := Point64(i, 0); + + idx := TStripeIndex.Create; + try + idx.BuildFromPath(comb); + CheckTrue(idx.IsEmpty, 'adversarial comb ring should decline indexing'); + finally + idx.Free; + end; +end; + +// FNV-1a coordinate hash, to tell apart nodes with equal vertex counts. +function HashPolygon(const poly: TPath64): UInt64; +var + i: Integer; + h: UInt64; +begin + h := UInt64(14695981039346656037); + for i := 0 to High(poly) do + begin + h := (h xor UInt64(poly[i].X)) * UInt64(1099511628211); + h := (h xor UInt64(poly[i].Y)) * UInt64(1099511628211); + end; + Result := h; +end; + +// Depth-first PolyTree signature (level, hole flag, vertex count, coord hash). +procedure SerializeTree(node: TPolyPath64; var sb: string); +var + i: Integer; + c: TPolyPath64; +begin + for i := 0 to node.Count - 1 do + begin + c := node.Child[i]; + sb := sb + IntToStr(c.Level); + if c.IsHole then sb := sb + 'H' else sb := sb + 'S'; + sb := sb + IntToStr(Length(c.Polygon)) + ':' + + UIntToStr(HashPolygon(c.Polygon)) + ';'; + SerializeTree(c, sb); + end; +end; + +// Tree shape stats used to prove the union genuinely nests. +procedure GatherStats(node: TPolyPath64; var nodes, holes, maxChildren: Integer); +var + i: Integer; + c: TPolyPath64; +begin + if node.Count > maxChildren then maxChildren := node.Count; + for i := 0 to node.Count - 1 do + begin + c := node.Child[i]; + Inc(nodes); + if c.IsHole then Inc(holes); + GatherStats(c, nodes, holes, maxChildren); + end; +end; + +function UnionTreeSignature(const subject: TPaths64; threshold: Integer; + var nodes, holes, maxChildren: Integer): string; +var + clipper: TClipper64; + tree: TPolyTree64; + open: TPaths64; +begin + clipper := TClipper64.Create; + tree := TPolyTree64.Create; + try + clipper.PipIndexThreshold := threshold; + clipper.AddSubject(subject); + clipper.Execute(ctUnion, frEvenOdd, tree, open); + Result := ''; + SerializeTree(tree, Result); + nodes := 0; holes := 0; maxChildren := 0; + GatherStats(tree, nodes, holes, maxChildren); + finally + tree.Free; + clipper.Free; + end; +end; + +procedure TestNestedPolyTreeDifferential; +var + subject: TPaths64; + brute, indexed: string; + bn, bh, bmc, ixn, ixh, ixmc: Integer; +begin + // Concentric circles under EvenOdd nest into alternating solids and holes, + // exercising the owner determination the index accelerates. + SetLength(subject, 4); + subject[0] := MakeCircle(10000, 220); + subject[1] := MakeCircle(7500, 200); + subject[2] := MakeCircle(5000, 180); + subject[3] := MakeCircle(2500, 160); + + // High threshold forces brute-force; threshold 1 forces the stripe index. + brute := UnionTreeSignature(subject, High(Integer), bn, bh, bmc); + indexed := UnionTreeSignature(subject, 1, ixn, ixh, ixmc); + + CheckTrue(brute <> '', 'union tree signature should be non-empty'); + CheckTrue(bh > 0, 'union tree should contain holes (genuine nesting)'); + CheckTrue(bn > 1, 'union tree should contain multiple nodes'); + CheckTrue(brute = indexed, 'indexed and brute PolyTree signatures must be identical'); +end; + +procedure TestRingMatchesPath; +var + clipper: TClipper64; + subject: TPaths64; + sigA, sigB: string; + n1, n2, h1, h2, m1, m2: Integer; +begin + // Run the same union twice at the default threshold to confirm BuildFromRing + // (used inside Execute) is stable and reproducible. + SetLength(subject, 2); + subject[0] := MakeCircle(8000, 97); // odd vertex count, distinct edges + subject[1] := MakeCircle(4000, 71); + + clipper := nil; + sigA := UnionTreeSignature(subject, 1, n1, h1, m1); + sigB := UnionTreeSignature(subject, 1, n2, h2, m2); + CheckTrue(sigA = sigB, 'repeated indexed union must be deterministic'); + if Assigned(clipper) then clipper.Free; +end; + +begin + try + TestBasicSquare; + TestConcaveMatchesBrute; + TestMultiStripeMatchesBrute; + TestAllHorizontalRing; + TestDegeneratePaths; + TestAdversarialCombDeclines; + TestNestedPolyTreeDifferential; + TestRingMatchesPath; + except + on E: Exception do + begin + Writeln('EXCEPTION: ', E.ClassName, ': ', E.Message); + Halt(2); + end; + end; + + if gFailures = 0 then + begin + Writeln('All StripeIndex QA checks passed.'); + Halt(0); + end + else + begin + Writeln(Format('%d StripeIndex QA check(s) failed.', [gFailures])); + Halt(1); + end; +end. diff --git a/Tests/clipper_inflate.txt b/Tests/clipper_inflate.txt new file mode 100644 index 000000000..a7287e25d --- /dev/null +++ b/Tests/clipper_inflate.txt @@ -0,0 +1,286 @@ +# massive fractured polygon being inflated (slowest Inflate), 195092 pts, offset delta=100600 +CAPTION: 1. +CLIPTYPE: OFFSET +FILLRULE: NONZERO +SOL_AREA: -1 +SOL_COUNT: -1 +SUBJECTS +31427997,169174212, 31534928,169218504, 31545234,169227306, 31534928,169218504, 31545234,169227306, 31545245,169227352, 31542479,169235330, 31541559,169236708, 31537583,169243853, 31535180,169249139, 31475762,169392585, 31472892,169402044, 31447366,169530371, 31440742,169542199, 31447366,169530371, 31440742,169542199, 31432498,169546000, 31208928,169546000, 31198359,169542566, 31201414,169537580, 31198359,169542566, 31201414,169537580, 31250539,169488456, 31256809,169480815, 31344871,169349021, 31349530,169340304, 31403527,169209944, 31408978,169196784, 31410227,169193439, 31411791,169188747, 31412676,169185402, 31419581,169173072, 31412676,169185402, 31419581,169173072, 31419620,169173054 +265584961,169174328, 265588651,169181935, 265589143,169184405, 265592012,169193863, 265609167,169235278, 265651460,169337383, 265652942,169340629, 265655155,169345055, 265658324,169350511, 265693282,169402829, 265797937,169534732, 265693282,169402829, 265745391,169480816, 265751661,169488456, 265797937,169534732, 265802982,169544635, 265797299,169546000, 265573875,169546000, 265560985,169541811, 265573875,169546000, 265560985,169541811, 265555647,169534465, 265529307,169402043, 265526437,169392583, 265509202,169350978, 265461528,169238296, 265509202,169350978, 265465479,169245419, 265461528,169238296, 265458016,169225845, 265457660,169224820, 265464472,169219663, 265540084,169188345, 265571409,169175369, 265584924,169174305, 265571409,169175369, 265584924,169174305 +34243073,40976868, 34287494,41021289, 34295135,41027559, 34358404,41069834, 34420542,41111353, 34425787,41114858, 34420542,41111353, 34423403,41113499, 34425787,41114858, 34435222,41121162, 34444765,41124057, 34511983,41151899, 34574228,41177683, 34511983,41151899, 34511983,41151900, 34574228,41177683, 34577052,41179095, 34580432,41180253, 34586673,41182838, 34589785,41183457, 34589791,41183459, 34747009,41214731, 34756846,41215700, 34915354,41215700, 34925191,41214731, 35080653,41183808, 35090112,41180939, 35236554,41120280, 35245271,41115621, 35377065,41027559, 35384706,41021289, 35425531,40980463, 35432489,40975776, 35425531,40980463, 35429176,40978606, 35432489,40975776, 35434915,40974988, 35442218,40971963, 35447641,40969200, 35489472,40969200, 35513073,40976868, 35489472,40969200, 35513073,40976868, 35557494,41021289, 35565135,41027559, 35628404,41069834, 35690542,41111353, 35695787,41114858, 35690542,41111353, 35693403,41113499, 35695787,41114858, 35705222,41121162, 35714765,41124057, 35781983,41151899, 35844228,41177683, 35781983,41151899, 35781983,41151900, 35844228,41177683, 35847052,41179095, 35850432,41180253, 35856673,41182838, 35859785,41183457, 35859791,41183459, 36017009,41214731, 36026846,41215700, 36185354,41215700, 36195191,41214731, 36350653,41183808, 36360112,41180939, 36506554,41120280, 36515271,41115621, 36647065,41027559, 36654706,41021289, 36695531,40980463, 36702489,40975776, 36695531,40980463, 36699176,40978606, 36702489,40975776, 36704915,40974988, 36712218,40971963, 36717641,40969200, 36759472,40969200, 36783073,40976868, 36759472,40969200, 36783073,40976868, 36827494,41021289, 36835135,41027559, 36898404,41069834, 36960542,41111353, 36965787,41114858, 36960542,41111353, 36963403,41113499, 36965787,41114858, 36975222,41121162, 36984765,41124057, 37051983,41151899, 37114228,41177683, 37051983,41151899, 37051983,41151900, 37114228,41177683, 37117052,41179095, 37120432,41180253, 37126673,41182838, 37129785,41183457, 37129791,41183459, 37287009,41214731, 37296846,41215700, 37455354,41215700, 37465191,41214731, 37620653,41183808, 37630112,41180939, 37776554,41120280, 37785271,41115621, 37917065,41027559, 37924706,41021289, 37965531,40980463, 37972489,40975776, 37965531,40980463, 37969176,40978606, 37972489,40975776, 37974915,40974988, 37982218,40971963, 37987641,40969200, 38029472,40969200, 38053073,40976868, 38029472,40969200, 38053073,40976868, 38097494,41021289, 38105135,41027559, 38168404,41069834, 38230542,41111353, 38235787,41114858, 38230542,41111353, 38233403,41113499, 38235787,41114858, 38245222,41121162, 38254765,41124057, 38321983,41151899, 38384228,41177683, 38321983,41151899, 38321983,41151900, 38384228,41177683, 38387052,41179095, 38390432,41180253, 38396673,41182838, 38399785,41183457, 38399791,41183459, 38557009,41214731, 38566846,41215700, 38725354,41215700, 38735191,41214731, 38890653,41183808, 38900112,41180939, 39046554,41120280, 39055271,41115621, 39187065,41027559, 39194706,41021289, 39235531,40980463, 39242489,40975776, 39235531,40980463, 39239176,40978606, 39242489,40975776, 39244915,40974988, 39252218,40971963, 39257641,40969200, 39299472,40969200, 39323073,40976868, 39299472,40969200, 39323073,40976868, 39367494,41021289, 39375135,41027559, 39438404,41069834, 39500542,41111353, 39505787,41114858, 39500542,41111353, 39503403,41113499, 39505787,41114858, 39515222,41121162, 39524765,41124057, 39591983,41151899, 39654228,41177683, 39591983,41151899, 39591983,41151900, 39654228,41177683, 39657052,41179095, 39660432,41180253, 39666673,41182838, 39669785,41183457, 39669791,41183459, 39827009,41214731, 39836846,41215700, 39995354,41215700, 40005191,41214731, 40160653,41183808, 40170112,41180939, 40316554,41120280, 40325271,41115621, 40457065,41027559, 40464706,41021289, 40505531,40980463, 40512489,40975776, 40505531,40980463, 40509176,40978606, 40512489,40975776, 40514915,40974988, 40522218,40971963, 40527641,40969200, 40569472,40969200, 40593073,40976868, 40569472,40969200, 40593073,40976868, 40637494,41021289, 40645135,41027559, 40708404,41069834, 40770542,41111353, 40775787,41114858, 40770542,41111353, 40773403,41113499, 40775787,41114858, 40785222,41121162, 40794765,41124057, 40837754,41141863, 40837754,41141864, 40922966,41177161, 40933401,41182188, 40922966,41177161, 40931762,41181862, 40933401,41182188, 40945224,41188809, 40945244,41188852, 40944086,41197222, 40884411,41341291, 40881542,41350750, 40845969,41529592, 40845000,41539429, 40845000,41721770, 40845969,41731607, 40881542,41910449, 40884411,41919908, 40950928,42080493, 40967099,42109431, 40950928,42080493, 40953508,42088229, 40965824,42108156, 40967099,42109431, 41060155,42248699, 41066425,42256339, 41195361,42385275, 41203001,42391545, 41307604,42461438, 41375937,42502730, 41307604,42461438, 41307604,42461439, 41354614,42492849, 41363331,42497509, 41375937,42502730, 41383419,42509120, 41377421,42513128, 41306224,42536262, 41298920,42539287, 41116164,42632406, 41108806,42636992, 41105934,42639145, 40944126,42756706, 40938115,42761840, 40793340,42906615, 40788206,42912626, 40670645,43074434, 40668492,43077306, 40663906,43084664, 40572408,43264239, 40570555,43267947, 40567702,43274907, 40505179,43467332, 40504219,43470677, 40503256,43474526, 40502373,43478859, 40470620,43679343, 40470000,43687223, 40470000,43891976, 40470620,43899856, 40502373,44100340, 40503256,44104673, 40504219,44108522, 40505179,44111867, 40567702,44304292, 40570555,44311252, 40572408,44314960, 40663906,44494535, 40668492,44501893, 40670645,44504764, 40788206,44666573, 40793340,44672584, 40938115,44817359, 40944126,44822493, 41003220,44865427, 41105425,44939684, 41003220,44865427, 41105425,44939684, 41105963,44940075, 41108806,44942207, 41116164,44946793, 41295739,45038291, 41299447,45040144, 41306407,45042997, 41496788,45104855, 41500760,45106146, 41496788,45104855, 41500393,45106057, 41500760,45106146, 41504707,45107429, 41508433,45108019, 41508445,45108022, 41579238,45119234, 41586280,45123454, 41579238,45119234, 41586699,45123035, 41586280,45123454, 41576546,45125391, 41567086,45128261, 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77273978,52424162, 77325486,52389746, 77325485,52389745, 77412041,52331911, 77426519,52324533 + diff --git a/Tests/clipper_subtract.txt b/Tests/clipper_subtract.txt new file mode 100644 index 000000000..f413d2f08 --- /dev/null +++ b/Tests/clipper_subtract.txt @@ -0,0 +1,2009 @@ +# big polygon minus many-hole clip (slowest Difference), 286125 input pts +CAPTION: 1. +CLIPTYPE: DIFFERENCE +FILLRULE: NONZERO +SOL_AREA: -1 +SOL_COUNT: -1 +SUBJECTS +29581419,40125813, 29617964,40176113, 29617964,40238287, 29593423,40278335, 29569451,40302306, 29340344,40581473, 29139721,40881726, 29139711,40881744, 28969480,41200225, 28969476,41200233, 28831282,41533864, 28831279,41533872, 28726453,41879439, 28726448,41879456, 28655997,42233640, 28620600,42593033, 28620600,167233598, 28620599,167414164, 28655995,167773559, 28726446,168127744, 28726452,168127767, 28831274,168473325, 28831279,168473338, 28969473,168806971, 28969487,168807001, 29139707,169125460, 29139712,169125469, 29340345,169425740, 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