-
-
Notifications
You must be signed in to change notification settings - Fork 104
Commit
This commit does not belong to any branch on this repository, and may belong to a fork outside of the repository.
test: separate out adjoint tests, fix adjoint test
- Loading branch information
1 parent
4a48d01
commit ec36819
Showing
3 changed files
with
96 additions
and
34 deletions.
There are no files selected for viewing
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
Original file line number | Diff line number | Diff line change |
---|---|---|
@@ -0,0 +1,92 @@ | ||
using ModelingToolkit, OrdinaryDiffEq, SymbolicIndexingInterface, Zygote, Test | ||
using ModelingToolkit: t_nounits as t, D_nounits as D | ||
|
||
@parameters σ ρ β | ||
@variables x(t) y(t) z(t) | ||
|
||
eqs = [D(x) ~ σ * (y - x), | ||
D(y) ~ x * (ρ - z) - y, | ||
D(z) ~ x * y - β * z] | ||
|
||
@named lorenz1 = ODESystem(eqs, t) | ||
@named lorenz2 = ODESystem(eqs, t) | ||
|
||
@parameters γ | ||
@variables a(t) α(t) | ||
connections = [0 ~ lorenz1.x + lorenz2.y + a * γ, | ||
α ~ 2lorenz1.x + a * γ] | ||
@mtkbuild sys = ODESystem(connections, t, [a, α], [γ], systems = [lorenz1, lorenz2]) | ||
|
||
u0 = [lorenz1.x => 1.0, | ||
lorenz1.y => 0.0, | ||
lorenz1.z => 0.0, | ||
lorenz2.x => 0.0, | ||
lorenz2.y => 1.0, | ||
lorenz2.z => 0.0, | ||
a => 2.0] | ||
|
||
p = [lorenz1.σ => 10.0, | ||
lorenz1.ρ => 28.0, | ||
lorenz1.β => 8 / 3, | ||
lorenz2.σ => 10.0, | ||
lorenz2.ρ => 28.0, | ||
lorenz2.β => 8 / 3, | ||
γ => 2.0] | ||
|
||
tspan = (0.0, 100.0) | ||
prob = ODEProblem(sys, u0, tspan, p) | ||
sol = solve(prob, Rodas4()) | ||
|
||
gs_sym, = Zygote.gradient(sol) do sol | ||
sum(sol[lorenz1.x]) | ||
end | ||
idx_sym = SymbolicIndexingInterface.variable_index(sys, lorenz1.x) | ||
true_grad_sym = zeros(length(ModelingToolkit.unknowns(sys))) | ||
true_grad_sym[idx_sym] = 1.0 | ||
|
||
@test all(map(x -> x == true_grad_sym, gs_sym)) | ||
|
||
gs_vec, = Zygote.gradient(sol) do sol | ||
sum(sum.(sol[[lorenz1.x, lorenz2.x]])) | ||
end | ||
idx_vecsym = SymbolicIndexingInterface.variable_index.(Ref(sys), [lorenz1.x, lorenz2.x]) | ||
true_grad_vecsym = zeros(length(ModelingToolkit.unknowns(sys))) | ||
true_grad_vecsym[idx_vecsym] .= 1.0 | ||
|
||
@test all(map(x -> x == true_grad_vecsym, gs_vec)) | ||
|
||
gs_tup, = Zygote.gradient(sol) do sol | ||
sum(sum.(collect.(sol[(lorenz1.x, lorenz2.x)]))) | ||
end | ||
idx_tupsym = SymbolicIndexingInterface.variable_index.(Ref(sys), [lorenz1.x, lorenz2.x]) | ||
true_grad_tupsym = zeros(length(ModelingToolkit.unknowns(sys))) | ||
true_grad_tupsym[idx_tupsym] .= 1.0 | ||
|
||
@test all(map(x -> x == true_grad_tupsym, gs_tup)) | ||
|
||
gs_ts, = Zygote.gradient(sol) do sol | ||
sum(sum.(sol[[lorenz1.x, lorenz2.x], :])) | ||
end | ||
|
||
@test all(map(x -> x == true_grad_vecsym, gs_ts)) | ||
|
||
# BatchedInterface AD | ||
@variables x(t)=1.0 y(t)=1.0 z(t)=1.0 w(t)=1.0 | ||
@named sys1 = ODESystem([D(x) ~ x + y, D(y) ~ y * z, D(z) ~ z * t * x], t) | ||
sys1 = complete(sys1) | ||
prob1 = ODEProblem(sys1, [], (0.0, 10.0)) | ||
@named sys2 = ODESystem([D(x) ~ x + w, D(y) ~ w * t, D(w) ~ x + y + w], t) | ||
sys2 = complete(sys2) | ||
prob2 = ODEProblem(sys2, [], (0.0, 10.0)) | ||
|
||
bi = BatchedInterface((sys1, [x, y, z]), (sys2, [x, y, w])) | ||
getter = getu(bi) | ||
|
||
p1grad, p2grad = Zygote.gradient(prob1, prob2) do prob1, prob2 | ||
sum(getter(prob1, prob2)) | ||
end | ||
|
||
@test p1grad.u0 ≈ ones(3) | ||
testp2grad = zeros(3) | ||
testp2grad[variable_index(prob2, w)] = 1.0 | ||
@test p2grad.u0 ≈ testp2grad |
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters