Add benchmark script

test/bench.jl

@@ -0,0 +1,67 @@
+using Quickhull
+using BenchmarkTools
+using Profile
+using Random
+using QHull
+
+using GLMakie
+
+include("utils.jl")
+
+SPHERE_POLY = GLMakie.GeometryBasics.Polygon(
+    decompose(Point2f, Circle(Point2f(0), .5)),
+    [decompose(Point2f, Circle(Point2f(0), 0.3))]
+)
+
+MARKER_DICT = Dict(
+    samplebox => :rect,
+    sampleball => :circle,
+    samplesphere => SPHERE_POLY
+)
+
+function bench()
+    sample_ranges = Dict(
+        samplebox => [100, 1000, 10_000, 100_000, 1_000_000, 10_000_000],
+        sampleball => [100, 1000, 10_000, 100_000, 1_000_000, 10_000_000],
+        samplesphere => [100, 1000, 10_000, 100_000, 1_000_000] # much harder
+    )
+
+    fig = Figure()
+    ax1 = Axis(fig[1, 1], title="2 Dimensions", xscale=log10)
+
+    ax2 = Axis(fig[2, 1], title="3 Dimensions", xscale=log10)
+
+    for (D, ax) in zip((2, 3), (ax1, ax2))
+
+        for (sample_func, Ns) in sample_ranges
+            println("Running $(D)D $sample_func with $Ns points")
+            data_mine_inexact = map(Ns) do N
+                opts = Quickhull.Options(kernel=Quickhull.HyperplaneKernelInexact)
+                res = @benchmark quickhull(pts, $opts) setup=(Random.seed!(1738); pts=$sample_func($N, $D))
+                median(res).time / 1e9
+            end
+            data_mine_exact = map(Ns) do N
+                opts = Quickhull.Options(kernel=Quickhull.HyperplaneKernelExactSIMD)
+                res = @benchmark quickhull(pts, $opts) setup=(Random.seed!(1738); pts=$sample_func($N, $D))
+                median(res).time / 1e9
+            end
+            data_qhull = map(Ns) do N
+                res = @benchmark QHull.chull(pts) setup=(Random.seed!(1738); pts=Matrix($sample_func($N, $D)') )
+                median(res).time / 1e9
+            end
+
+            marker = MARKER_DICT[sample_func]
+            line = scatterlines!(ax, Ns, data_qhull ./ data_mine_inexact, label="$(string(sample_func)[7:end]) (inexact)", marker=marker)
+            scatterlines!(ax, Ns, data_qhull ./ data_mine_exact, label="$(string(sample_func)[7:end]) (exact)", color=line.color, linestyle=:dot, marker=marker)
+        end
+        hlines!(ax, [1], color=:gray)
+    end
+
+    Label(fig[1:2,0], "Speedup relative to QHull", rotation=pi/2)
+    Label(fig[3,:], "Number of points")
+    fig[1:2,2] = Legend(fig, ax1, "Test case")
+
+    fig
+end
+
+bench()