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MethodError: anyeltypedual(::Type{Union{}}) when passing ODEProblem as a parameter #440

@EllissoideRotondo

Description

@EllissoideRotondo

I am trying to implement a shooting method using a NonlinearProblem. An ODEProblem is passed as a parameter to the NonlinearProblem (to avoid recreating a new ODEProblem at each iteration), and during evaluation of the nonlinear function the properties of the ODEProblem (u0, tspan, p, etc.) are modified. However, when passing the ODEProblem as a parameter, I get the error MethodError: anyeltypedual(::Type{Union{}}) is ambiguous. Everything works correctly if the ODEProblem is created inside the nonlinear function, but being able to pass it as a parameter would be more convenient.

Minimal Reproducible Example

using OrdinaryDiffEq, NonlinearSolve, StaticArrays

# ODE problem
f(u, p, t) = SA[u[2], 1.5u[1]^2]
ode = ODEProblem(f, SA[0.0, 0.0], (0, 1))

## Example 1: ODE is not passed as a parameter, no errors
fun_no_ode(u, _) = begin
    ode = ODEProblem(f, SA[4.0; u], (0, 1))
    sol = solve(ode, Tsit5(); reltol = 1e-8, abstol = 1e-9)
    return sol[end][1] - 1
end
prob1 = NonlinearProblem(fun_no_ode, -2.0)
sol = solve(prob1, TrustRegion(), show_trace = Val(true))

## Example 2: ODE is passed as a parameter, error is thrown
fun_with_ode(u, ode) = begin
    ode = remake(ode, u0 = SA[4.0; u])
    sol = solve(ode, Tsit5(); reltol = 1e-8, abstol = 1e-9)
    return sol[end][1] - 1
end
prob2 = NonlinearProblem(objective, -2.0, ode)
sol = solve(prob2, TrustRegion())

Error & Stacktrace

ERROR: MethodError: anyeltypedual(::Type{Union{}}) is ambiguous.

Candidates:
  anyeltypedual(::Type{T}) where T<:(Tuple{Vararg{T, N}} where {N, T})
    @ DiffEqBase C:\Users\alexp\.julia\packages\DiffEqBase\PBhFc\src\forwarddiff.jl:180
  anyeltypedual(::Type{T}) where T<:ForwardDiff.Dual
    @ DiffEqBase C:\Users\alexp\.julia\packages\DiffEqBase\PBhFc\src\forwarddiff.jl:161
  anyeltypedual(x::Type{T}) where T<:DiffResults.DiffResult
    @ DiffEqBase C:\Users\alexp\.julia\packages\DiffEqBase\PBhFc\src\forwarddiff.jl:129
  anyeltypedual(::Type{T}) where T<:Union{Set, AbstractArray}
    @ DiffEqBase C:\Users\alexp\.julia\packages\DiffEqBase\PBhFc\src\forwarddiff.jl:165
  anyeltypedual(x::Type{T}) where T<:ForwardDiff.AbstractConfig
    @ DiffEqBase C:\Users\alexp\.julia\packages\DiffEqBase\PBhFc\src\forwarddiff.jl:120

Possible fix, define
  anyeltypedual(::Type{Union{}})

Stacktrace:
  [1] (::Base.MappingRF{typeof(DiffEqBase.anyeltypedual), Base.BottomRF{typeof(DiffEqBase.promote_dual)}})(acc::Type, x::Type)
    @ Base .\reduce.jl:100
  [2] _foldl_impl(op::Base.MappingRF{typeof(DiffEqBase.anyeltypedual), Base.BottomRF{…}}, init::Type, itr::Core.SimpleVector)
    @ Base .\reduce.jl:62
  [3] foldl_impl
    @ .\reduce.jl:48 [inlined]
  [4] mapfoldl_impl
    @ .\reduce.jl:44 [inlined]
  [5] mapfoldl
    @ .\reduce.jl:175 [inlined]
  [6] mapreduce
    @ .\reduce.jl:307 [inlined]
  [7] __anyeltypedual(::Type{@Kwargs{}})
    @ DiffEqBase C:\Users\alexp\.julia\packages\DiffEqBase\PBhFc\src\forwarddiff.jl:153
  [8] anyeltypedual(::Type{@Kwargs{}}, ::Type{Val{1}})
    @ DiffEqBase C:\Users\alexp\.julia\packages\DiffEqBase\PBhFc\src\forwarddiff.jl:159
  [9] (::DiffEqBase.var"#80#81"{Int64})(x::Type)
    @ DiffEqBase C:\Users\alexp\.julia\packages\DiffEqBase\PBhFc\src\forwarddiff.jl:102
 [10] (::Base.MappingRF{DiffEqBase.var"#80#81"{Int64}, Base.BottomRF{typeof(DiffEqBase.promote_dual)}})(acc::Type, x::Type)
    @ Base .\reduce.jl:100
 [11] _foldl_impl(op::Base.MappingRF{DiffEqBase.var"#80#81"{…}, Base.BottomRF{…}}, init::Type, itr::Core.SimpleVector)
    @ Base .\reduce.jl:62
 [12] foldl_impl
    @ .\reduce.jl:48 [inlined]
 [13] mapfoldl_impl
    @ .\reduce.jl:44 [inlined]
 [14] mapfoldl
    @ .\reduce.jl:175 [inlined]
 [15] mapreduce
    @ .\reduce.jl:307 [inlined]
 [16] diffeqmapreduce(f::DiffEqBase.var"#80#81"{Int64}, op::typeof(DiffEqBase.promote_dual), x::Core.SimpleVector)
    @ DiffEqBase C:\Users\alexp\.julia\packages\DiffEqBase\PBhFc\src\forwarddiff.jl:55
 [17] #s86#79
    @ C:\Users\alexp\.julia\packages\DiffEqBase\PBhFc\src\forwarddiff.jl:102 [inlined]
 [18] var"#s86#79"(counter::Any, ::Any, x::Any, ::Any)
    @ DiffEqBase .\none:0
 [19] (::Core.GeneratedFunctionStub)(::UInt64, ::LineNumberNode, ::Any, ::Vararg{Any})
    @ Core .\boot.jl:602
 [20] anyeltypedual
    @ C:\Users\alexp\.julia\packages\DiffEqBase\PBhFc\src\forwarddiff.jl:95 [inlined]
 [21] promote_u0
    @ C:\Users\alexp\.julia\packages\DiffEqBase\PBhFc\src\forwarddiff.jl:269 [inlined]
 [22] get_concrete_problem(prob::NonlinearProblem{…}, isadapt::Bool; kwargs::@Kwargs{})
    @ DiffEqBase C:\Users\alexp\.julia\packages\DiffEqBase\PBhFc\src\solve.jl:1141
 [23] get_concrete_problem
    @ C:\Users\alexp\.julia\packages\DiffEqBase\PBhFc\src\solve.jl:1139 [inlined]
 [24] solve_up(prob::NonlinearProblem{…}, sensealg::Nothing, u0::Float64, p::ODEProblem{…}, args::GeneralizedFirstOrderAlgorithm{…}; kwargs::@Kwargs{})
    @ DiffEqBase C:\Users\alexp\.julia\packages\DiffEqBase\PBhFc\src\solve.jl:1070
 [25] solve_up
    @ C:\Users\alexp\.julia\packages\DiffEqBase\PBhFc\src\solve.jl:1066 [inlined]
 [26] solve(prob::NonlinearProblem{…}, args::GeneralizedFirstOrderAlgorithm{…}; sensealg::Nothing, u0::Nothing, p::Nothing, wrap::Val{…}, kwargs::@Kwargs{})
    @ DiffEqBase C:\Users\alexp\.julia\packages\DiffEqBase\PBhFc\src\solve.jl:1060
 [27] solve(prob::NonlinearProblem{…}, args::GeneralizedFirstOrderAlgorithm{…})
    @ DiffEqBase C:\Users\alexp\.julia\packages\DiffEqBase\PBhFc\src\solve.jl:1050
 [28] top-level scope
    @ c:\Users\alexp\test\mwe.jl:23

Environment:

  • Output of using Pkg; Pkg.status()
Status `C:\Users\alexp\test\Project.toml`
  [8913a72c] NonlinearSolve v3.12.3
  [1dea7af3] OrdinaryDiffEq v6.80.1
  [90137ffa] StaticArrays v1.9.4
  • Output of using Pkg; Pkg.status(; mode = PKGMODE_MANIFEST)
Status `C:\Users\alexp\test\Manifest.toml`
  [47edcb42] ADTypes v1.2.1
  [7d9f7c33] Accessors v0.1.36
  [79e6a3ab] Adapt v4.0.4
  [ec485272] ArnoldiMethod v0.4.0
  [4fba245c] ArrayInterface v7.10.0
  [4c555306] ArrayLayouts v1.9.3
  [62783981] BitTwiddlingConvenienceFunctions v0.1.5
  [2a0fbf3d] CPUSummary v0.2.5
  [d360d2e6] ChainRulesCore v1.23.0
  [fb6a15b2] CloseOpenIntervals v0.1.12
  [38540f10] CommonSolve v0.2.4
  [bbf7d656] CommonSubexpressions v0.3.0
  [34da2185] Compat v4.15.0
  [a33af91c] CompositionsBase v0.1.2
  [2569d6c7] ConcreteStructs v0.2.3
  [187b0558] ConstructionBase v1.5.5
  [adafc99b] CpuId v0.3.1
  [9a962f9c] DataAPI v1.16.0
  [864edb3b] DataStructures v0.18.20
  [e2d170a0] DataValueInterfaces v1.0.0
  [2b5f629d] DiffEqBase v6.151.2
  [163ba53b] DiffResults v1.1.0
  [b552c78f] DiffRules v1.15.1
⌅ [a0c0ee7d] DifferentiationInterface v0.4.2
  [ffbed154] DocStringExtensions v0.9.3
  [4e289a0a] EnumX v1.0.4
  [f151be2c] EnzymeCore v0.7.3
  [d4d017d3] ExponentialUtilities v1.26.1
  [e2ba6199] ExprTools v0.1.10
  [7034ab61] FastBroadcast v0.3.0
  [9aa1b823] FastClosures v0.3.2
  [29a986be] FastLapackInterface v2.0.4
  [1a297f60] FillArrays v1.11.0
  [6a86dc24] FiniteDiff v2.23.1
  [f6369f11] ForwardDiff v0.10.36
  [069b7b12] FunctionWrappers v1.1.3
  [77dc65aa] FunctionWrappersWrappers v0.1.3
  [46192b85] GPUArraysCore v0.1.6
  [c145ed77] GenericSchur v0.5.4
  [86223c79] Graphs v1.11.0
  [3e5b6fbb] HostCPUFeatures v0.1.16
  [615f187c] IfElse v0.1.1
  [d25df0c9] Inflate v0.1.5
  [3587e190] InverseFunctions v0.1.14
  [92d709cd] IrrationalConstants v0.2.2
  [82899510] IteratorInterfaceExtensions v1.0.0
  [692b3bcd] JLLWrappers v1.5.0
  [ef3ab10e] KLU v0.6.0
  [ba0b0d4f] Krylov v0.9.6
  [10f19ff3] LayoutPointers v0.1.15
  [5078a376] LazyArrays v2.0.2
  [d3d80556] LineSearches v7.2.0
  [7ed4a6bd] LinearSolve v2.30.1
  [2ab3a3ac] LogExpFunctions v0.3.27
  [bdcacae8] LoopVectorization v0.12.170
  [1914dd2f] MacroTools v0.5.13
  [d125e4d3] ManualMemory v0.1.8
  [bb5d69b7] MaybeInplace v0.1.3
  [46d2c3a1] MuladdMacro v0.2.4
  [d41bc354] NLSolversBase v7.8.3
  [77ba4419] NaNMath v1.0.2
  [8913a72c] NonlinearSolve v3.12.3
  [6fe1bfb0] OffsetArrays v1.14.0
  [bac558e1] OrderedCollections v1.6.3
  [1dea7af3] OrdinaryDiffEq v6.80.1
  [65ce6f38] PackageExtensionCompat v1.0.2
  [d96e819e] Parameters v0.12.3
  [f517fe37] Polyester v0.7.14
  [1d0040c9] PolyesterWeave v0.2.1
  [d236fae5] PreallocationTools v0.4.21
  [aea7be01] PrecompileTools v1.2.1
  [21216c6a] Preferences v1.4.3
  [3cdcf5f2] RecipesBase v1.3.4
  [731186ca] RecursiveArrayTools v3.20.0
  [f2c3362d] RecursiveFactorization v0.2.23
  [189a3867] Reexport v1.2.2
  [ae029012] Requires v1.3.0
  [7e49a35a] RuntimeGeneratedFunctions v0.5.13
  [94e857df] SIMDTypes v0.1.0
  [476501e8] SLEEFPirates v0.6.42
  [0bca4576] SciMLBase v2.39.0
  [c0aeaf25] SciMLOperators v0.3.8
  [53ae85a6] SciMLStructures v1.2.0
  [efcf1570] Setfield v1.1.1
  [727e6d20] SimpleNonlinearSolve v1.9.0
  [699a6c99] SimpleTraits v0.9.4
  [ce78b400] SimpleUnPack v1.1.0
  [47a9eef4] SparseDiffTools v2.19.0
  [0a514795] SparseMatrixColorings v0.3.2
  [e56a9233] Sparspak v0.3.9
  [276daf66] SpecialFunctions v2.4.0
  [aedffcd0] Static v0.8.10
  [0d7ed370] StaticArrayInterface v1.5.0
  [90137ffa] StaticArrays v1.9.4
  [1e83bf80] StaticArraysCore v1.4.2
  [7792a7ef] StrideArraysCore v0.5.6
  [2efcf032] SymbolicIndexingInterface v0.3.22
  [3783bdb8] TableTraits v1.0.1
  [bd369af6] Tables v1.11.1
  [8290d209] ThreadingUtilities v0.5.2
  [a759f4b9] TimerOutputs v0.5.24
  [d5829a12] TriangularSolve v0.2.0
  [410a4b4d] Tricks v0.1.8
  [781d530d] TruncatedStacktraces v1.4.0
  [3a884ed6] UnPack v1.0.2
  [3d5dd08c] VectorizationBase v0.21.68
  [19fa3120] VertexSafeGraphs v0.2.0
  [1d5cc7b8] IntelOpenMP_jll v2024.1.0+0
  [856f044c] MKL_jll v2024.1.0+0
  [efe28fd5] OpenSpecFun_jll v0.5.5+0
  [1317d2d5] oneTBB_jll v2021.12.0+0
  [0dad84c5] ArgTools v1.1.1
  [56f22d72] Artifacts
  [2a0f44e3] Base64
  [ade2ca70] Dates
  [8ba89e20] Distributed
  [f43a241f] Downloads v1.6.0
  [7b1f6079] FileWatching
  [9fa8497b] Future
  [b77e0a4c] InteractiveUtils
  [4af54fe1] LazyArtifacts
  [b27032c2] LibCURL v0.6.4
  [76f85450] LibGit2
  [8f399da3] Libdl
  [37e2e46d] LinearAlgebra
  [56ddb016] Logging
  [d6f4376e] Markdown
  [a63ad114] Mmap
  [ca575930] NetworkOptions v1.2.0
  [44cfe95a] Pkg v1.10.0
  [de0858da] Printf
  [3fa0cd96] REPL
  [9a3f8284] Random
  [ea8e919c] SHA v0.7.0
  [9e88b42a] Serialization
  [1a1011a3] SharedArrays
  [6462fe0b] Sockets
  [2f01184e] SparseArrays v1.10.0
  [10745b16] Statistics v1.10.0
  [4607b0f0] SuiteSparse
  [fa267f1f] TOML v1.0.3
  [a4e569a6] Tar v1.10.0
  [8dfed614] Test
  [cf7118a7] UUIDs
  [4ec0a83e] Unicode
  [e66e0078] CompilerSupportLibraries_jll v1.1.1+0
  [deac9b47] LibCURL_jll v8.4.0+0
  [e37daf67] LibGit2_jll v1.6.4+0
  [29816b5a] LibSSH2_jll v1.11.0+1
  [c8ffd9c3] MbedTLS_jll v2.28.2+1
  [14a3606d] MozillaCACerts_jll v2023.1.10
  [4536629a] OpenBLAS_jll v0.3.23+4
  [05823500] OpenLibm_jll v0.8.1+2
  [bea87d4a] SuiteSparse_jll v7.2.1+1
  [83775a58] Zlib_jll v1.2.13+1
  [8e850b90] libblastrampoline_jll v5.8.0+1
  [8e850ede] nghttp2_jll v1.52.0+1
  [3f19e933] p7zip_jll v17.4.0+2
  • Output of versioninfo()
Julia Version 1.10.3
Commit 0b4590a550 (2024-04-30 10:59 UTC)
Build Info:
  Official https://julialang.org/ release
Platform Info:
  OS: Windows (x86_64-w64-mingw32)
  CPU: 32 × AMD Ryzen 9 5950X 16-Core Processor
  WORD_SIZE: 64
  LIBM: libopenlibm
  LLVM: libLLVM-15.0.7 (ORCJIT, znver3)
Threads: 16 default, 0 interactive, 8 GC (on 32 virtual cores)
Environment:
  JULIA_EDITOR = code
  JULIA_NUM_THREADS = 16

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