From abfab7ecea0ff1732cf1f8f15b2c37e38ab9156c Mon Sep 17 00:00:00 2001 From: djukic14 Date: Mon, 5 Oct 2026 13:23:37 +0200 Subject: [PATCH 1/2] Size-relative, allocation-free overlap; fix boundingbox; use anysearchtree --- Project.toml | 2 +- src/boundingbox.jl | 2 +- src/fileio/readmesh.jl | 6 +- src/gpredicates.jl | 22 +- src/overlap.jl | 99 +- test/assets/tetra_star.in | 14755 ++++++++++++++++++++++++++++++++++++ test/test_boundingbox.jl | 25 + test/test_overlap.jl | 377 + 8 files changed, 15238 insertions(+), 50 deletions(-) create mode 100644 test/assets/tetra_star.in diff --git a/Project.toml b/Project.toml index 2b769cf..511f07e 100644 --- a/Project.toml +++ b/Project.toml @@ -27,7 +27,7 @@ PlotlyBaseExt = ["PlotlyBase"] [compat] ClusterTrees = "^0.2" -CollisionDetection = "^0.1.5" +CollisionDetection = "0.2.0" Combinatorics = "^0.6, ^0.7, ^1" Compat = "^1, ^2, ^3, ^4" DataStructures = "^0.17, ^0.18, 0.19" diff --git a/src/boundingbox.jl b/src/boundingbox.jl index a1618d7..40536f6 100644 --- a/src/boundingbox.jl +++ b/src/boundingbox.jl @@ -9,7 +9,7 @@ function boundingbox(p::Simplex{U,D,C,N,T}) where {U,D,C,N,T} # ur = maximum(p.vertices) ll = first(p.vertices); for v in p.vertices; ll = min.(v, ll); end - ur = first(p.vertices); for v in p.vertices; ll = max.(v, ll); end + ur = first(p.vertices); for v in p.vertices; ur = max.(v, ur); end center = (ll + ur) / 2 halfsize = maximum(ur - center) diff --git a/src/fileio/readmesh.jl b/src/fileio/readmesh.jl index c1954e6..8de9c9b 100644 --- a/src/fileio/readmesh.jl +++ b/src/fileio/readmesh.jl @@ -80,7 +80,11 @@ function writemesh(mesh, filename) println(f, v[1], dl, v[2], dl, v[3]) end for c in mesh.faces - println(f, c[1], dl, c[2], dl, c[3]) + for i in 1:length(c) + i > 1 && print(f, dl) + print(f, c[i]) + end + println(f) end end end diff --git a/src/gpredicates.jl b/src/gpredicates.jl index 41f8774..e61223b 100644 --- a/src/gpredicates.jl +++ b/src/gpredicates.jl @@ -43,16 +43,7 @@ function overlap_gpredicate(γ::AbstractMesh) # find all simplices of the small mesh that potentially # collide with this patch c1, s1 = boundingbox(p1) - for box in boxes(tree, (c,s)->boxesoverlap(c,s,c1,s1)) - for i in box - # p2 = chart(γ, γ.faces[i]) - # p2 = chart(γ, cells(γ)[i]) - p2 = chart(γ, i) - overlap(p1,p2) && return true - end - end - - return false + return anysearchtree(i -> overlap(p1, chart(γ, i)), tree, (c1, s1)) end return pred @@ -77,16 +68,7 @@ function inclosure_gpredicate(γ::AbstractMesh) # find all simplices of the small mesh that potentially # collide with this patch c1, s1 = boundingbox(p1) - for box in boxes(tree, (c,s)->boxesoverlap(c,s,c1,s1)) - for i in box - # p2 = simplex(vertices(γ, γ.faces[i])) - # p2 = chart(γ, cells(γ)[i]) - p2 = chart(γ, i) - isinclosure(p2, p1) && return true - end - end - - return false + return anysearchtree(i -> isinclosure(chart(γ, i), p1), tree, (c1, s1)) end return pred diff --git a/src/overlap.jl b/src/overlap.jl index bef6432..de5ff4b 100644 --- a/src/overlap.jl +++ b/src/overlap.jl @@ -1,6 +1,13 @@ import LinearAlgebra.cross cross(a::Pt{2,T}, b::Pt{2,T}) where {T} = a[1]*b[2] - a[2]*b[1] +@inline _overlaptol(::Type{T}) where {T} = sqrt(eps(T)) + +@inline function _overlap_degenerate(length2, scale2) + T = typeof(length2) + return length2 <= eps(T) * max(length2, scale2) +end + """ Compute whether two flat patches of the same dimension overlap or not """ @@ -12,34 +19,42 @@ function overlap(p1::Simplex{U,D,C,N,T}, p2::Simplex{U,D,C,N,T}) where {U,D,C,N, end ### -# Version for points: overlap in this case is taken to mean that points approx conincide +# For points, use the largest coordinate magnitude as the local scale. The unit +# floor keeps the tolerance useful for points close to the origin. ### function overlap(p::Simplex{U,0,C,1,T}, q::Simplex{U,0,C,1,T}) where {T,U,C} - - tol = sqrt(eps(T)) - return norm(p[1]-q[1]) < tol + scale = max(maximum(abs, p[1]), maximum(abs, q[1]), one(T)) + return norm(p[1] - q[1]) < _overlaptol(T) * scale end """ Compute whether two segments in 3D space overlap + +Segments that only share one endpoint are not considered overlapping; a +positive-length intersection is required. """ function overlap(p::Simplex{U,1,C,2,T}, q::Simplex{U,1,C,2,T}) where {T,U,C} - tol = sqrt(eps(T)) + tol = _overlaptol(T) # Are these edges on the same line? o = q.vertices[2] u = p.vertices[1] - o t = q.tangents[1] t2 = dot(t,t) + p2 = dot(p.tangents[1], p.tangents[1]) + (_overlap_degenerate(t2, p2) || _overlap_degenerate(p2, t2)) && return false + qlength = sqrt(t2) + plength = sqrt(p2) + length_scale = max(plength, qlength) e = u - dot(u,t) / t2 * t - abstol = tol * sqrt(t2) + abstol = tol * length_scale # if vertex 1 of p is not in the line defined by q, they do not overlap norm(e) > abstol && return false # if the tangents are not linearly dependent return false - norm(cross(p.tangents[1],q.tangents[1])) > tol*t2 && return false + norm(cross(p.tangents[1],q.tangents[1])) > tol * length_scale^2 && return false # we determined p and q are on the same line. Do standard collision testing a1 = dot(p.vertices[1]-o, t) @@ -47,8 +62,9 @@ function overlap(p::Simplex{U,1,C,2,T}, q::Simplex{U,1,C,2,T}) where {T,U,C} a1 < b1 ? (x1 = a1; y1 = b1) : (x1 = b1; y1 = a1) - y1 - abstol <= zero(T) && return false # p to the left of q - t2 <= x1 + abstol && return false # q to the left of p + intervaltol = tol * length_scale^2 + y1 - intervaltol <= zero(T) && return false # p to the left of q + t2 <= x1 + intervaltol && return false # q to the left of p return true end @@ -58,8 +74,22 @@ Compute whether two triangles in 3D space overlap """ function overlap(p::Simplex{3,2,1,3,T}, q::Simplex{3,2,1,3,T}) where T - # tol = sqrt(eps(T)) - tol = 1e3 * eps(T) + tol = _overlaptol(T) + edge_scale = zero(T) + for i in 1:3, j in (i + 1):3 + edge_scale = max(edge_scale, norm(p.vertices[i] - p.vertices[j])) + edge_scale = max(edge_scale, norm(q.vertices[i] - q.vertices[j])) + end + edge_scale2 = edge_scale * edge_scale + _overlap_degenerate(edge_scale2, edge_scale2) && return false + coplanartol = tol * edge_scale^3 + # `Simplex.normals` are unit normals, so their cross product is + # dimensionless and must not be scaled by the triangle size. + normaltol = tol + # The separating-axis values below are dot products of an edge with a + # cross product of an edge and a unit normal, and therefore scale like + # length^2. + separationtol = tol * edge_scale^2 # Are the patches in the same plane? u1 = q.tangents[1] @@ -67,10 +97,10 @@ function overlap(p::Simplex{3,2,1,3,T}, q::Simplex{3,2,1,3,T}) where T v = p.vertices[1] - q.vertices[2] # if vertex 1 of p is not in q, return false - norm(dot(cross(u1,u2),v)) > tol && return false + abs(dot(cross(u1,u2),v)) > coplanartol && return false # if the two triangles are not coplanar return false - norm(cross(p.normals[1], q.normals[1])) > tol && return false + norm(cross(p.normals[1], q.normals[1])) > normaltol && return false n = p.normals[1] for i in 1:3 @@ -80,29 +110,44 @@ function overlap(p::Simplex{3,2,1,3,T}, q::Simplex{3,2,1,3,T}) where T t = b - a m = cross(t,n) - sp = zeros(T,3); sp[i] = dot(c-a, m) - sq = T[dot(q.vertices[j]-a, m) for j in 1:3] + pvalue = dot(c - a, m) + qvalue1 = dot(q.vertices[1] - a, m) + qvalue2 = dot(q.vertices[2] - a, m) + qvalue3 = dot(q.vertices[3] - a, m) - minp, maxp = extrema(sp) - minq, maxq = extrema(sq) + minp = min(zero(T), pvalue) + maxp = max(zero(T), pvalue) + minq = min(qvalue1, qvalue2, qvalue3) + maxq = max(qvalue1, qvalue2, qvalue3) - maxq <= minp + tol && return false - maxp <= minq + tol && return false + maxq <= minp + separationtol && return false + maxp <= minq + separationtol && return false end return true end +# Whether `x` lies in the closed tetrahedron `q`, shrunk by `tol` in barycentric +# coordinates. Barycentric coordinates are dimensionless, so `tol` needs no +# scaling with the size of the tetrahedron. Uses static arrays throughout. +@inline function _inside_tetrahedron(q::Simplex{3,3,0,4,T}, x, tol) where {T} + t = q.tangents + u = hcat(t[1], t[2], t[3]) \ (x - q.vertices[4]) + w = one(T) - (u[1] + u[2] + u[3]) + return tol <= u[1] <= 1 - tol && tol <= u[2] <= 1 - tol && + tol <= u[3] <= 1 - tol && tol <= w <= 1 - tol +end + +""" +Compute whether two tetrahedra overlap: some vertex of `p`, or the center of `p`, +lies in the interior of `q`. +""" function overlap(p::Simplex{3,3,0,4,T}, q::Simplex{3,3,0,4,T}) where T - tol = sqrt(eps(T)) + tol = _overlaptol(T) for v in p.vertices - u = carttobary(q,v) - u = vcat(u, 1-sum(u)) - all(0+tol .<= u .<= 1-tol) && return true + _inside_tetrahedron(q, v, tol) && return true end - u = carttobary(q, cartesian(center(p))) - u = vcat(u, 1-sum(u)) - all(0+tol .<= u .<= 1-tol) && return true - return false + c = (p.vertices[1] + p.vertices[2] + p.vertices[3] + p.vertices[4]) / 4 + return _inside_tetrahedron(q, c, tol) end diff --git 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1484 1600 1601 +1453 1600 1605 1601 +224 1605 1436 1482 +1605 249 1603 1601 +237 1436 1603 1486 +1482 235 1601 1486 +1482 1605 1436 1603 +1482 1436 1486 1603 +1482 1486 1601 1603 +1482 1601 1605 1603 +224 1436 1456 1482 +1436 237 1480 1486 +230 1456 1480 1488 +1482 235 1486 1488 +1436 1456 1482 1486 +1482 1456 1488 1486 +1488 1456 1480 1486 +1480 1456 1436 1486 diff --git a/test/test_boundingbox.jl b/test/test_boundingbox.jl index fa38d56..d891078 100644 --- a/test/test_boundingbox.jl +++ b/test/test_boundingbox.jl @@ -13,3 +13,28 @@ c, s = boundingbox(p.vertices) c, s = boundingbox(p.vertices[1]) @test c == p.vertices[1] @test s == 0 + +@testset "simplex bounding-box invariants" begin + for T in (Float32, Float64) + q = simplex( + point(T, -2, 1, 3), + point(T, 4, -1, 0), + point(T, 1, 5, 2), + ) + center, halfsize = boundingbox(q) + lower = center .- halfsize + upper = center .+ halfsize + @test all(all(lower .<= vertex .<= upper) for vertex in q.vertices) + @test halfsize >= zero(T) + @test center == (minimum(q.vertices) + maximum(q.vertices)) / 2 + end + + sphere = readmesh(joinpath(@__DIR__, "assets", "sphere8.in")) + for cell in cells(sphere) + patch = chart(sphere, cell) + center, halfsize = boundingbox(patch) + @test all(all(center .- halfsize .<= vertex .<= center .+ halfsize) + for vertex in patch.vertices) + @test halfsize >= zero(coordtype(sphere)) + end +end diff --git a/test/test_overlap.jl b/test/test_overlap.jl index 437fca0..a508d77 100644 --- a/test/test_overlap.jl +++ b/test/test_overlap.jl @@ -58,3 +58,380 @@ pred1 = c -> overlaps(chart(vt,c)) ch1 = simplex(point(1/3,0,0), point(1/3,1/3,0)) ch2 = simplex(point(1/3,1/3,0), point(1/3,2/3,0)) @test !overlap(ch1, ch2) + +@testset "overlap symmetry and boundary cases" begin + a = simplex(point(0.0, 0.0, 0.0), point(1.0, 0.0, 0.0), point(0.0, 1.0, 0.0)) + identical = a + contained = simplex( + point(0.1, 0.1, 0.0), point(0.2, 0.1, 0.0), point(0.1, 0.2, 0.0)) + disjoint = simplex( + point(2.0, 2.0, 0.0), point(3.0, 2.0, 0.0), point(2.0, 3.0, 0.0)) + touching = simplex( + point(1.0, 0.0, 0.0), point(2.0, 0.0, 0.0), point(1.0, 1.0, 0.0)) + + for q in (identical, contained, disjoint, touching) + @test overlap(a, q) == overlap(q, a) + end + @test overlap(a, identical) + @test overlap(a, contained) + @test !overlap(a, disjoint) + + segment = simplex(point(0.0, 0.0, 0.0), point(1.0, 0.0, 0.0)) + segment_overlap = simplex(point(0.5, 0.0, 0.0), point(1.5, 0.0, 0.0)) + segment_touch = simplex(point(1.0, 0.0, 0.0), point(2.0, 0.0, 0.0)) + segment_disjoint = simplex(point(2.0, 0.0, 0.0), point(3.0, 0.0, 0.0)) + @test overlap(segment, segment_overlap) + @test !overlap(segment, segment_touch) + @test !overlap(segment, segment_disjoint) + @test overlap(segment, segment_overlap) == overlap(segment_overlap, segment) +end + +@testset "overlap across geometric scales" begin + for scale in (1e-6, 1.0, 1e6) + separation = max(10scale, 10sqrt(eps(Float64))) + p = simplex( + point(scale, 0.0, 0.0), + point(0.0, scale, 0.0), + point(0.0, 0.0, scale), + ) + q = simplex( + point(scale, 0.0, 0.0), + point(0.0, scale, 0.0), + point(0.0, 0.0, scale), + ) + far = simplex( + point(scale + separation, 0.0, 0.0), + point(0.0, scale + separation, 0.0), + point(0.0, 0.0, scale + separation), + ) + @test overlap(p, q) + @test !overlap(p, far) + @test overlap(p, far) == overlap(far, p) + end +end + +@testset "point overlap tolerance scales with magnitude" begin + for scale in (1.0, 1e6) + shift = scale + p = simplex(point(shift, shift, shift)) + q = simplex(point(shift, shift, shift)) + inside = simplex(point(shift + 0.5sqrt(eps(Float64)) * scale, shift, shift)) + outside = simplex(point(shift + 2sqrt(eps(Float64)) * scale, shift, shift)) + @test overlap(p, q) + @test overlap(p, inside) + @test !overlap(p, outside) + @test overlap(p, outside) == overlap(outside, p) + end +end + +@testset "small positive overlap across scales" begin + for scale in (1e-6, 1.0, 1e6) + delta = 1e-3 + shift = (1 - delta) * scale + + segment = simplex(point(0.0, 0.0, 0.0), point(scale, 0.0, 0.0)) + shifted_segment = simplex(point(shift, 0.0, 0.0), point(shift + scale, 0.0, 0.0)) + @test overlap(segment, shifted_segment) + + triangle = simplex( + point(0.0, 0.0, 0.0), point(scale, 0.0, 0.0), point(0.0, scale, 0.0)) + shifted_triangle = simplex( + point(shift, 0.0, 0.0), point(shift + scale, 0.0, 0.0), + point(shift, scale, 0.0)) + @test overlap(triangle, shifted_triangle) + + tetrahedron = simplex( + point(0.0, 0.0, 0.0), point(scale, 0.0, 0.0), + point(0.0, scale, 0.0), point(0.0, 0.0, scale)) + # A vertex of the shifted tetrahedron lies a small distance inside the + # first one (vertex-in-interior is the tetrahedron overlap criterion). + offset = delta * scale + shifted_tetrahedron = simplex( + point(offset, offset, offset), point(offset + scale, offset, offset), + point(offset, offset + scale, offset), point(offset, offset, offset + scale)) + @test overlap(shifted_tetrahedron, tetrahedron) + @test overlap(tetrahedron, shifted_tetrahedron) + end +end + +@testset "tetrahedron overlap across scales and translations" begin + for scale in (1e-6, 1.0, 1e6) + shift = point(3scale, -2scale, scale) + p = simplex( + shift + point(0.0, 0.0, 0.0), + shift + point(scale, 0.0, 0.0), + shift + point(0.0, scale, 0.0), + shift + point(0.0, 0.0, scale), + ) + q = simplex( + shift + point(0.1scale, 0.1scale, 0.1scale), + shift + point(0.2scale, 0.1scale, 0.1scale), + shift + point(0.1scale, 0.2scale, 0.1scale), + shift + point(0.1scale, 0.1scale, 0.2scale), + ) + # q lies inside p: a vertex of q is in the interior of p. + @test overlap(q, p) + end +end + +@testset "tetrahedron overlap criterion and boundary semantics" begin + # overlap(p, q) is true when a vertex of p, or the center of p, lies in the + # interior of q. It is therefore not symmetric, and contact does not count. + p = simplex( + point(0.0, 0.0, 0.0), + point(2.0, 0.0, 0.0), + point(0.0, 2.0, 0.0), + point(0.0, 0.0, 2.0), + ) + inside = simplex( + point(0.1, 0.1, 0.1), + point(0.5, 0.1, 0.1), + point(0.1, 0.5, 0.1), + point(0.1, 0.1, 0.5), + ) + @test overlap(inside, p) + @test overlap(p, p) + + shared_vertex = simplex( + point(2.0, 0.0, 0.0), + point(3.0, 0.0, 0.0), + point(2.0, 1.0, 0.0), + point(2.0, 0.0, 1.0), + ) + @test !overlap(p, shared_vertex) + @test !overlap(shared_vertex, p) + + shared_face = simplex( + point(0.0, 0.0, 0.0), + point(0.0, 2.0, 0.0), + point(0.0, 0.0, 2.0), + point(-1.0, 0.0, 0.0), + ) + @test !overlap(p, shared_face) + @test !overlap(shared_face, p) + + separated = simplex( + point(2.5, 0.0, 0.0), + point(3.5, 0.0, 0.0), + point(2.5, 1.0, 0.0), + point(2.5, 0.0, 1.0), + ) + @test !overlap(p, separated) + @test !overlap(separated, p) +end + +@testset "triangle overlap symmetry and invariance" begin + for scale in (1e-6, 1.0, 1e6) + shift = point(2scale, -scale, 3scale) + p = simplex( + shift + point(0.0, 0.0, 0.0), + shift + point(scale, 0.0, 0.0), + shift + point(0.0, scale, 0.0), + ) + contained = simplex( + shift + point(0.1scale, 0.1scale, 0.0), + shift + point(0.2scale, 0.1scale, 0.0), + shift + point(0.1scale, 0.2scale, 0.0), + ) + separated = simplex( + shift + point(2scale, 2scale, 0.0), + shift + point(3scale, 2scale, 0.0), + shift + point(2scale, 3scale, 0.0), + ) + + @test overlap(p, contained) + @test overlap(contained, p) + @test overlap(p, contained) == overlap(contained, p) + @test !overlap(p, separated) + @test !overlap(separated, p) + end + + scale = 1e6 + depth = 1e-6 * scale + p = simplex( + point(0.0, 0.0, 0.0), + point(scale, 0.0, 0.0), + point(0.0, scale, 0.0), + ) + slightly_overlapping = simplex( + point(scale - depth, 0.0, 0.0), + point(2scale - depth, 0.0, 0.0), + point(scale - depth, scale, 0.0), + ) + @test overlap(p, slightly_overlapping) + @test overlap(slightly_overlapping, p) +end + +@testset "degenerate overlap inputs" begin + point_a = simplex(point(1.0, 2.0, 3.0)) + point_b = simplex(point(1.0, 2.0, 3.0)) + point_c = simplex(point(1.0 + 1e-6, 2.0, 3.0)) + @test overlap(point_a, point_b) + @test !overlap(point_a, point_c) + + zero_segment = simplex(point(0.0, 0.0, 0.0), point(0.0, 0.0, 0.0)) + segment = simplex(point(0.0, 0.0, 0.0), point(1.0, 0.0, 0.0)) + @test !overlap(zero_segment, segment) + @test !overlap(segment, zero_segment) +end + +@testset "overlap predicates do not allocate" begin + point_patch = simplex(point(0.0, 0.0, 0.0)) + segment_patch = simplex(point(0.0, 0.0, 0.0), point(1.0, 0.0, 0.0)) + triangle_patch = simplex( + point(0.0, 0.0, 0.0), point(1.0, 0.0, 0.0), point(0.0, 1.0, 0.0)) + tetrahedron_patch = simplex( + point(0.0, 0.0, 0.0), point(1.0, 0.0, 0.0), + point(0.0, 1.0, 0.0), point(0.0, 0.0, 1.0)) + + overlap(point_patch, point_patch) + overlap(segment_patch, segment_patch) + overlap(triangle_patch, triangle_patch) + overlap(tetrahedron_patch, tetrahedron_patch) + + @test @allocated(overlap(point_patch, point_patch)) == 0 + @test @allocated(overlap(segment_patch, segment_patch)) == 0 + @test @allocated(overlap(triangle_patch, triangle_patch)) == 0 + @test @allocated(overlap(tetrahedron_patch, tetrahedron_patch)) == 0 +end + +@testset "realistic tetrahedral mesh overlap" begin + mesh = CompScienceMeshes.read_gmsh3d_mesh( + joinpath(@__DIR__, "assets", "cuboid_tetrahedron.msh")) + sample_ids = 1:max(1, cld(numcells(mesh), 100)):numcells(mesh) + + @test all(i -> begin + cell = chart(mesh, i) + overlap(cell, cell) + end, sample_ids) + + # Neighboring cells of a conforming mesh only touch, which is not overlap. + @test all(i -> begin + j = mod1(i + 1, numcells(mesh)) + p = chart(mesh, i) + q = chart(mesh, j) + !overlap(p, q) && !overlap(q, p) + end, sample_ids) + + p = chart(mesh, first(sample_ids)) + c = 0.7 * p.vertices[1] + 0.1 * p.vertices[2] + + 0.1 * p.vertices[3] + 0.1 * p.vertices[4] + contained = simplex((c + 0.1 * (v - c) for v in p.vertices)...) + @test overlap(contained, p) + + far = simplex( + p.vertices[1] + point(100.0, 0.0, 0.0), + p.vertices[2] + point(100.0, 0.0, 0.0), + p.vertices[3] + point(100.0, 0.0, 0.0), + p.vertices[4] + point(100.0, 0.0, 0.0), + ) + @test !overlap(p, far) + @test !overlap(far, p) +end + +@testset "large tetrahedral star overlap" begin + mesh = CompScienceMeshes.readmesh( + joinpath(@__DIR__, "assets", "tetra_star.in")) + @test numcells(mesh) == 12288 + + @test all(i -> begin + cell = chart(mesh, i) + overlap(cell, cell) + end, 1:numcells(mesh)) + + sample_ids = 1:max(1, cld(numcells(mesh), 1000)):numcells(mesh) + @test all(i -> begin + j = mod1(i + 1, numcells(mesh)) + p = chart(mesh, i) + q = chart(mesh, j) + !overlap(p, q) && !overlap(q, p) + end, sample_ids) + + p = chart(mesh, first(sample_ids)) + far = simplex( + p.vertices[1] + point(100.0, 0.0, 0.0), + p.vertices[2] + point(100.0, 0.0, 0.0), + p.vertices[3] + point(100.0, 0.0, 0.0), + p.vertices[4] + point(100.0, 0.0, 0.0), + ) + @test !overlap(p, far) + @test !overlap(far, p) +end + +@testset "large-scale segment mesh" begin + sensitive = simplex(point(-0.5, 0.0, 0.0), point(0.5, 0.0, 0.0)) + short = simplex(point(-0.5, 0.0, 0.0), point(-0.499, 1e-13, 0.0)) + @test overlap(sensitive, short) + @test overlap(short, sensitive) + + # A star of 100000 segments radiating from the origin, generated here + # rather than read from a large fixture file. + nsegments = 100000 + vertices = Vector{typeof(point(0.0, 0.0, 0.0))}(undef, 2 * nsegments) + faces = Vector{CompScienceMeshes.SimplexGraph{2}}(undef, nsegments) + for i in 1:nsegments + theta = 2pi * i / nsegments + phi = pi * mod(i * 0.618033988749895, 1.0) + direction = point(sin(phi) * cos(theta), sin(phi) * sin(theta), cos(phi)) + vertices[2i - 1] = (0.1 + mod(i, 7)) * direction + vertices[2i] = (1.1 + mod(i, 7)) * direction + faces[i] = CompScienceMeshes.SimplexGraph(2i - 1, 2i) + end + mesh = Mesh(vertices, faces) + @test numcells(mesh) == nsegments + + @test all(i -> begin + segment = chart(mesh, i) + overlap(segment, segment) + end, 1:numcells(mesh)) + + # Segments on different rays only touch (at most) and must not overlap. + @test all(i -> begin + !overlap(chart(mesh, i), chart(mesh, mod1(i + 1, numcells(mesh)))) + end, 1:100:numcells(mesh)) +end + +@testset "realistic sphere overlap and predicates" begin + sphere = readmesh(joinpath(@__DIR__, "assets", "sphere8.in")) + overlap_predicate = overlap_gpredicate(sphere) + inclosure_predicate = inclosure_gpredicate(sphere) + + for cell in cells(sphere) + patch = chart(sphere, cell) + @test overlap(patch, patch) + @test overlap_predicate(patch) + end + + for cell in cells(sphere), vertex in vertices(chart(sphere, cell)) + @test inclosure_predicate(vertex) + end + @test !inclosure_predicate(point(0.0, 0.0, 0.0)) + @test !inclosure_predicate(point(10.0, 0.0, 0.0)) + + cells_list = collect(cells(sphere)) + neighboring_pair = nothing + for i in eachindex(cells_list), j in (i+1):length(cells_list) + p = chart(sphere, cells_list[i]) + q = chart(sphere, cells_list[j]) + shared_vertices = count(v -> any(v == w for w in q.vertices), p.vertices) + if shared_vertices >= 2 + neighboring_pair = (p, q) + break + end + end + @test neighboring_pair !== nothing + if neighboring_pair !== nothing + p, q = neighboring_pair + @test overlap(p, q) == overlap(q, p) + end + + first_patch = chart(sphere, first(cells(sphere))) + far_patch = simplex( + first_patch.vertices[1] + point(10.0, 0.0, 0.0), + first_patch.vertices[2] + point(10.0, 0.0, 0.0), + first_patch.vertices[3] + point(10.0, 0.0, 0.0), + ) + @test !overlap(first_patch, far_patch) + @test overlap(first_patch, far_patch) == overlap(far_patch, first_patch) + @test !overlap_predicate(far_patch) +end From 1c3053e9dd957303cf3b5ff6f44842241dce5589 Mon Sep 17 00:00:00 2001 From: CompatHelper Julia Date: Sat, 3 Oct 2026 03:09:35 +0000 Subject: [PATCH 2/2] CompatHelper: bump compat for PlotlyBase in [weakdeps] to 0.10, (keep existing compat) --- Project.toml | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/Project.toml b/Project.toml index 511f07e..a82c681 100644 --- a/Project.toml +++ b/Project.toml @@ -37,7 +37,7 @@ Gmsh = "0.3.1" GmshTools = "^0.5" LinearAlgebra = "1.10.0" Permutations = "0.4.23" -PlotlyBase = "0.8.21" +PlotlyBase = "0.8.21, 0.10" Requires = "^0.5.2, ^1" StaticArrays = "^0.10, ^0.11, ^0.12, ^1" TestItemRunner = "0.2.3, 1"