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| 1 | +using StochasticDiffEqROCK, DiffEqDevTools, DiffEqNoiseProcess, Test, Random |
| 2 | + |
| 3 | +# Non-diagonal SDE: 2-component system driven by 1 Brownian motion (n=2, m=1) |
| 4 | +# du_i = μ u_i dt + σ u_i dW (same scalar Brownian motion for both components) |
| 5 | +# Weak solution: E[u_i(T)] = u_i(0) exp(μ T) |
| 6 | + |
| 7 | +const μ_test = -0.5 |
| 8 | +const σ_test = 0.1 |
| 9 | + |
| 10 | +f_nd_oop(u, p, t) = μ_test .* u |
| 11 | +g_nd_oop(u, p, t) = σ_test .* reshape(u, length(u), 1) |
| 12 | + |
| 13 | +f_nd_iip!(du, u, p, t) = (du .= μ_test .* u) |
| 14 | +function g_nd_iip!(du, u, p, t) |
| 15 | + for i in axes(du, 1) |
| 16 | + du[i, 1] = σ_test * u[i] |
| 17 | + end |
| 18 | +end |
| 19 | + |
| 20 | +# Analytic (Itô): u_i(t) = u_i(0) exp((μ - σ²/2)t + σ W(t)) |
| 21 | +analytic_nd(u0, p, t, W) = u0 .* exp.((μ_test - σ_test^2 / 2) * t .+ σ_test .* W[1]) |
| 22 | + |
| 23 | +u0 = [1.0, 1.0] |
| 24 | +tspan = (0.0, 1.0) |
| 25 | + |
| 26 | +prob_oop = SDEProblem( |
| 27 | + SDEFunction(f_nd_oop, g_nd_oop; analytic = analytic_nd), |
| 28 | + u0, tspan; |
| 29 | + noise_rate_prototype = zeros(2, 1) |
| 30 | +) |
| 31 | +prob_iip = SDEProblem( |
| 32 | + SDEFunction(f_nd_iip!, g_nd_iip!; analytic = analytic_nd), |
| 33 | + u0, tspan; |
| 34 | + noise_rate_prototype = zeros(2, 1) |
| 35 | +) |
| 36 | + |
| 37 | +Random.seed!(100) |
| 38 | +dts = 1 .// 2 .^ (6:-1:2) |
| 39 | + |
| 40 | +@testset "SROCK2 non-diagonal OOP weak convergence (order ~2)" begin |
| 41 | + sim = test_convergence(dts, prob_oop, SROCK2(), trajectories = Int(5e4), |
| 42 | + save_everystep = false, weak_timeseries_errors = false) |
| 43 | + @test abs(sim.𝒪est[:weak_final] - 2.0) < 0.5 |
| 44 | +end |
| 45 | + |
| 46 | +@testset "SROCK2 non-diagonal IIP weak convergence (order ~2)" begin |
| 47 | + sim = test_convergence(dts, prob_iip, SROCK2(), trajectories = Int(5e4), |
| 48 | + save_everystep = false, weak_timeseries_errors = false) |
| 49 | + @test abs(sim.𝒪est[:weak_final] - 2.0) < 0.5 |
| 50 | +end |
| 51 | + |
| 52 | +# KomBurSROCK2 smoke test: non-diagonal noise must not crash with DimensionMismatch |
| 53 | +@testset "KomBurSROCK2 non-diagonal IIP does not crash" begin |
| 54 | + prob_smoke = SDEProblem(f_nd_iip!, g_nd_iip!, u0, tspan; |
| 55 | + noise_rate_prototype = zeros(2, 1)) |
| 56 | + sol = solve(prob_smoke, KomBurSROCK2(), dt = 0.01) |
| 57 | + @test sol.retcode == ReturnCode.Success |
| 58 | +end |
| 59 | + |
| 60 | +# Smoke test: NoiseWrapper must not crash |
| 61 | +@testset "SROCK2 NoiseWrapper does not crash" begin |
| 62 | + prob_base = SDEProblem(f_nd_iip!, g_nd_iip!, u0, tspan; |
| 63 | + noise_rate_prototype = zeros(2, 1)) |
| 64 | + sol_base = solve(prob_base, SROCK2(), dt = 0.01, save_noise = true) |
| 65 | + W_wrap = NoiseWrapper(sol_base.W) |
| 66 | + prob_wrap = SDEProblem(f_nd_iip!, g_nd_iip!, u0, tspan; |
| 67 | + noise = W_wrap, noise_rate_prototype = zeros(2, 1)) |
| 68 | + sol_wrap = solve(prob_wrap, SROCK2(), dt = 0.01) |
| 69 | + @test sol_wrap.retcode == ReturnCode.Success |
| 70 | +end |
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