Add ODE test

adrhill · Apr 1, 2024 · 35810e3 · 35810e3
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diff --git a/test/brusselator.jl b/test/brusselator.jl
@@ -0,0 +1,20 @@
+# Brusselator example taken from Gowda et al.
+# "Sparsity Programming: Automated Sparsity-Aware Optimizations in Differentiable Programming"
+# https://openreview.net/pdf?id=rJlPdcY38B
+
+#! format: off
+brusselator_f(x, y, t) = ifelse((((x-0.3)^2 + (y-0.6)^2) <= 0.1^2) && (t >= 1.1), 5., 0.)
+limit(a, N) = a == N+1 ? 1 : a == 0 ? N : a
+function brusselator_2d_loop(du, u, p, t)
+    A, B, alpha, xyd, dx, N = p; alpha = alpha/dx^2
+    @inbounds for I in CartesianIndices((N, N))
+        i, j = Tuple(I)
+        x, y = xyd[I[1]], xyd[I[2]]
+        ip1, im1, jp1, jm1 = limit(i+1, N), limit(i-1, N), limit(j+1, N), limit(j-1, N)
+        du[i,j,1] = alpha*(u[im1,j,1] + u[ip1,j,1] + u[i,jp1,1] + u[i,jm1,1] - 4u[i,j,1]) +
+        B + u[i,j,1]^2*u[i,j,2] - (A + 1)*u[i,j,1] + brusselator_f(x, y, t)
+        du[i,j,2] = alpha*(u[im1,j,2] + u[ip1,j,2] + u[i,jp1,2] + u[i,jm1,2] - 4u[i,j,2]) +
+        A*u[i,j,1] - u[i,j,1]^2*u[i,j,2]
+    end
+end
+#! format: one
diff --git a/test/references/connectivity/Brusselator.txt b/test/references/connectivity/Brusselator.txt
@@ -0,0 +1 @@
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diff --git a/test/runtests.jl b/test/runtests.jl
@@ -58,5 +58,26 @@ using NNlib
             C = connectivity(x -> NNlib.conv(x, w), x)
             @test_reference "references/connectivity/NNlib/conv.txt" BitMatrix(C)
         end
+        @testset "Brusselator" begin
+            include("brusselator.jl")
+            N = 6
+            dims = (N, N, 2)
+            A = 1.0
+            B = 1.0
+            alpha = 1.0
+            xyd = fill(1.0, N)
+            dx = 1.0
+            p = (A, B, alpha, xyd, dx, N)
+
+            u = rand(dims...)
+            du = similar(u, Tracer)
+            function f(u)
+                brusselator_2d_loop(du, u, p, nothing)
+                return du
+            end
+
+            C = connectivity(f, u)
+            @test_reference "references/connectivity/Brusselator.txt" BitMatrix(C)
+        end
     end
 end
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		@@ -0,0 +1 @@
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