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ManifoldProjection for ManifoldProjections.jl Manifolds #50

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ManifoldProjection for ManifoldProjections.jl Manifolds #50

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11 changes: 11 additions & 0 deletions src/manifold.jl
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Original file line number Diff line number Diff line change
@@ -1,3 +1,6 @@
# TODO is this necessary and should it be added to REQUIRE?
using ManifoldProjections

# wrapper for non-autonomous functions
mutable struct NonAutonomousFunction{F,autonomous}
f::F
Expand Down Expand Up @@ -52,4 +55,12 @@ function ManifoldProjection(g; nlsolve=NLSOLVEJL_SETUP(), save=true,
save_positions=save_positions)
end

function ManifoldProjection(M::Mfd; save=true) where {Mfd <: Manifold}
affect!(integrator) = retract!(M, integrator.u)
condition = (u, t, integrator) -> true
save_positions = (false,save)
DiscreteCallback(condition, affect!,
save_positions=save_positions)
end

export ManifoldProjection
30 changes: 29 additions & 1 deletion test/manifold_tests.jl
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Original file line number Diff line number Diff line change
@@ -1,4 +1,4 @@
using OrdinaryDiffEq, Test, DiffEqBase, DiffEqCallbacks, RecursiveArrayTools
using OrdinaryDiffEq, Test, DiffEqBase, DiffEqCallbacks, RecursiveArrayTools, ManifoldProjections

u0 = ones(2,2)
f = function (du,u,p,t)
Expand Down Expand Up @@ -64,3 +64,31 @@ sol[end][1]^2 + sol[end][2]^2 ≈ 2

sol = solve(prob,Vern7(),callback=cb_t_false)
sol[end][1]^2 + sol[end][2]^2 ≈ 2

# Test using ManifoldProjections.jl
# Test the equations above now transformed to the complex plane
u0 = (1+1im) * ones(ComplexF64, 2)
function f(du,u,p,t)
@. du[:] = im * u
end
prob = ODEProblem(f,u0,(0.0,100.0))

# Each of the
S = Sphere(sqrt(2))
M = PowerManifold(S, (1,), (2,))

sol = solve(prob,Vern7())
@test !(abs2(sol[end][1]) ≈ 2)

cb = ManifoldProjection(M)
# @test isautonomous(cb.affect!)
solve(prob,Vern7(),callback=cb)
@time sol=solve(prob,Vern7(),callback=cb)
@test all(abs2.(sol[end]) .≈ 2)

# test array partitions
u₀ = ArrayPartition([1.0+im], [1.0+im])
prob = ODEProblem(f, u₀, (0.0, 100.0))

sol = solve(prob,Vern7(),callback=cb)
@test all(abs2.(sol[end]) .≈ 2)