failed to run `@setup` block in src/math.md ```@setup ex_tri using DelaunayTriangulation, CairoMakie θ = LinRange(0, 2π, 50) θ = collect(θ) θ[end] = θ[begin] g = θ -> cos(θ) - sin(3θ) + sin(5θ) ε = 1 / 10 x = @. (1 + g(θ) * ε) * cos(θ) y = @. (1 + g(θ) * ε) * sin(θ) h = θ -> cos(3θ) - sin(θ) ε = 1 / 5 x2 = @. 0.5(1 + h(θ) * ε) * cos(θ) y2 = @. 0.5(1 + h(θ) * ε) * sin(θ) reverse!(x2) reverse!(y2) boundary_nodes, points = convert_boundary_points_to_indices([[x], [x2]], [[y], [y2]]) tri = triangulate(points; boundary_nodes, delete_ghosts=false) refine!(tri) fig, ax, sc = triplot(tri, show_convex_hull=false, show_constrained_edges=false, show_all_points=true, point_color=:black) hidedecorations!(ax) ``` exception = LoadError: UndefVarError: `triplot` not defined in expression starting at string:18

failed to run `@example` block in src/math.md:46-48 ```@example ex_tri fig #hide ``` value = UndefVarError: `fig` not defined

failed to run `@setup` block in src/math.md ```@setup ex_tri centroids = NTuple{2,Float64}[] linesegments = NTuple{2,Float64}[] for T in each_solid_triangle(tri) i, j, k = indices(T) p, q, r = get_point(tri, i, j, k) cent = DelaunayTriangulation.triangle_centroid(p, q, r) push!(centroids, cent) u, v, w = DelaunayTriangulation.triangle_edge_midpoints(p, q, r) push!(linesegments, cent, u, cent, v, cent, w) end linesegments!(ax, linesegments, color=:blue) scatter!(ax, centroids, color=:red, markersize=8) ``` exception = LoadError: UndefVarError: `ax` not defined in expression starting at string:11

failed to run `@example` block in src/math.md:46-48 ```@example ex_tri fig #hide ``` value = UndefVarError: `fig` not defined

failed to run `@setup` block in src/math.md ```@setup cv_notation using DelaunayTriangulation, CairoMakie, LinearAlgebra a, b, c, d, e, f = (0.0, 0.0), (2.0, 3.0), (4.0, -1.0), (1.0, -4.0), (-4.0, -2.0), (-4.0, 2.0) points = [a, b, c, d, e, f] tri = triangulate(points) centroids = NTuple{2,Float64}[] linesegments = NTuple{2,Float64}[] other_linesegments = NTuple{2,Float64}[] non_cv_midpoints = collect.([ (f .+ b) ./ 2, (b .+ c) ./ 2, (c .+ d) ./ 2, (d .+ e) ./ 2, (e .+ f) ./ 2 ]) for T in each_solid_triangle(tri) i, j, k = indices(T) p, q, r = get_point(tri, i, j, k) cent = DelaunayTriangulation.triangle_centroid(p, q, r) push!(centroids, cent) u, v, w = DelaunayTriangulation.triangle_edge_midpoints(p, q, r) any(≈(collect(u)), non_cv_midpoints) ? push!(other_linesegments, cent, u) : push!(linesegments, cent, u) any(≈(collect(v)), non_cv_midpoints) ? push!(other_linesegments, cent, v) : push!(linesegments, cent, v) any(≈(collect(w)), non_cv_midpoints) ? push!(other_linesegments, cent, w) : push!(linesegments, cent, w) end control_volume_verts = vcat(linesegments, centroids) cv_idx = collect(eachindex(control_volume_verts)) DelaunayTriangulation.sort_convex_polygon!(cv_idx, control_volume_verts) fig, ax, sc = poly(control_volume_verts[cv_idx], color=:lightgreen, axis=(width=400, height=400)) triplot!(tri, show_convex_hull=false, show_constrained_edges=false, show_all_points=true, point_color=:black, markersize=11) scatter!(ax, [a, b, c], color=:cyan, markersize=11, strokecolor=:black, strokewidth=1) linesegments!(ax, linesegments, color=:blue, linewidth=3) linesegments!(ax, other_linesegments, color=(:grey, 0.5)) cidx = findfirst(≈(collect((f .+ a .+ b) ./ 3)), collect.(centroids)) lidx = findfirst(≈(collect((f .+ a) ./ 2)), collect.(linesegments)) u, v = centroids[cidx], linesegments[lidx] rot90_uv = [0 -1; 1 0] * collect(u .- v) rot90_uv = 0.8rot90_uv ./ norm(rot90_uv) m = (u .+ v) ./ 2 p = scatter!(ax, [m], color=:blue, markersize=11, strokecolor=:black, strokewidth=1) arrows!(ax, [m[1]], [m[2]], [rot90_uv[1]], [rot90_uv[2]], color=:black) lines!(ax, [u, v], color=:magenta, linewidth=3) translate!(p, 0, 0, 1) scatter!(ax, centroids, color=:red, markersize=11, strokecolor=:black, strokewidth=1) text!(ax, -0.8, -1.7, text=L"\Omega_i", fontsize=24) text!(ax, -3.2, -1.0, text=L"\partial\Omega_i", fontsize=24) text!(ax, -2.0, 1.1, text=L"\sigma", fontsize=24) text!(ax, -2.4, 1.6, text=L"\hat{\mathbf{n}}_{\sigma}", fontsize=24) text!(ax, -1.4, 0.8, text=L"\mathbf{x}_{\sigma}", fontsize=24) text!(ax, 0.2, 0.0, text=L"\mathbf{x}_{i}", fontsize=24) text!(ax, 0.2, -0.5, text=L"v_{k1}", fontsize=24) text!(ax, 3.1, -1.3, text=L"v_{k2}", fontsize=24) text!(ax, 2.1, 2.9, text=L"v_{k3}", fontsize=24) text!(ax, 1.7, 1.5, text=L"T_k", fontsize=24) hidedecorations!(ax) resize_to_layout!(fig) ``` exception = LoadError: UndefVarError: `triplot!` not defined in expression starting at string:38

failed to run `@setup` block in src/math.md ```@setup ex_focus using DelaunayTriangulation, CairoMakie function get_control_volume(tri, i) is_bnd, bnd_idx = DelaunayTriangulation.is_boundary_node(tri, i) cv = NTuple{2,Float64}[] if is_bnd j = DelaunayTriangulation.get_right_boundary_node(tri, i, bnd_idx) k = get_adjacent(tri, i, j) p = get_point(tri, i) push!(cv, p) while !DelaunayTriangulation.is_boundary_index(k) q, r = get_point(tri, j, k) c = (p .+ q .+ r) ./ 3 m = (p .+ q) ./ 2 push!(cv, m, c) j = k k = get_adjacent(tri, i, j) DelaunayTriangulation.is_boundary_index(k) && push!(cv, (p .+ r) ./ 2) end push!(cv, p) else S = DelaunayTriangulation.get_surrounding_polygon(tri, i) push!(S, S[begin]) j = S[begin] p = get_point(tri, i) q = get_point(tri, j) push!(cv, (p .+ q) ./ 2) for k in S[2:end] r = get_point(tri, k) push!(cv, (p .+ q .+ r) ./ 3) push!(cv, (p .+ r) ./ 2) q = r end end return cv end a, b, c, d, e, f, g, h, i, j, k, ℓ = (0.0, 0.0), (2.0, 3.0), (4.0, -1.0), (1.0, -4.0), (-4.0, -2.0), (-4.0, 2.0), (-1.0, 5.0), (6.0, 3.0), (7.0, -2.0), (4.0, -5.0), (-3.0, -4.0), (-6.0, 0.0) points = [a, b, c, d, e, f, g, h, i, j, k, ℓ] tri = triangulate(points) fig = Figure() ax = Axis(fig[1, 1], width=400, height=400) for i in 1:3 cv = get_control_volume(tri, i) L = lines!(ax, cv, color=:blue, linewidth=3) translate!(L, 0, 0, 1) end poly!(ax, [a, c, b], color=:lightblue) triplot!(tri, show_convex_hull=false, show_constrained_edges=false) scatter!(ax, [a, c, b], color=[:blue, :red, :darkgreen], strokecolor=:black, strokewidth=1) text!(ax, 2.1, -0.3, text=L"\sigma_{br}", fontsize=24) text!(ax, 2.1, 1.0, text=L"\sigma_{rg}", fontsize=24) text!(ax, 1.0, 0.6, text=L"\sigma_{gb}", fontsize=24) br = lines!(ax, [(a .+ c) ./ 2, (a .+ b .+ c) ./ 3], color=:purple, linewidth=3) translate!(br, 0, 0, 1) bg = lines!(ax, [(a .+ b) ./ 2, (a .+ b .+ c) ./ 3], color=:teal, linewidth=3) translate!(bg, 0, 0, 1) rg = lines!(ax, [(b .+ c) ./ 2, (a .+ b .+ c) ./ 3], color=:yellow, linewidth=3) translate!(rg, 0, 0, 1) xlims!(ax, -3, 5.9) ylims!(ax, -3.5, 4.5) fig hidedecorations!(ax) resize_to_layout!(fig) ``` exception = LoadError: UndefVarError: `triplot!` not defined in expression starting at string:60

The following actions uses node12 which is deprecated and will be forced to run on node16: actions/checkout@v2. For more info: https://github.blog/changelog/2023-06-13-github-actions-all-actions-will-run-on-node16-instead-of-node12-by-default/

The following actions uses node12 which is deprecated and will be forced to run on node16: actions/checkout@v2. For more info: https://github.blog/changelog/2023-06-13-github-actions-all-actions-will-run-on-node16-instead-of-node12-by-default/