diff --git a/test/brusselator.jl b/test/brusselator.jl new file mode 100644 index 00000000..9f56c578 --- /dev/null +++ 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 new file mode 100644 index 00000000..24a82b43 --- /dev/null +++ b/test/references/connectivity/Brusselator.txt @@ -0,0 +1 @@ +Bool[1 1 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0; 1 1 1 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0; 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