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Stabilized RK methods do not work with UnitfulΒ #2858

@yaccos

Description

@yaccos

Describe the bug 🐞

I discovered that the family of stabilized RK methods do not work when the time is given by a Unitful quantity.

Expected behavior

ODE problem is solved successfully as it does when using certain solvers such as RK4() and Tsit5().

Minimal Reproducible Example πŸ‘‡

using Unitful
using DifferentialEquations
f(u, p, t) = u ./ u"s"
f!(du,u, p, t) = (du .= u ./ u"s")
u0 = [0.0]
t_span = (0.0u"s", 1.0u"s")
problem_const = ODEProblem(f, u0, t_span)
problem_mut = ODEProblem(f!, u0, t_span)
solve(problem_const, ESERK5())
solve(problem_mut, ESERK5())

Error & Stacktrace ⚠️
For solve(problem_const, ESERK5()):

ERROR: DimensionError: 1.0 and 1.4901161193847656e-8 s^-1 are not dimensionally compatible.
Stacktrace:
  [1] +(x::Quantity{Float64, NoDims, Unitful.FreeUnits{…}}, y::Quantity{Float64, 𝐓^-1, Unitful.FreeUnits{…}} )
    @ Unitful .julia\packages\Unitful\sxiHA\src\quantities.jl:137
  [2] +(x::Float64, y::Quantity{Float64, 𝐓^-1, Unitful.FreeUnits{(s^-1,), 𝐓^-1, nothing}}  )
    @ Base .\promotion.jl:429
  [3] _broadcast_getindex_evalf
    @ .\broadcast.jl:678 [inlined]
  [4] _broadcast_getindex
    @ .\broadcast.jl:651 [inlined]
  [5] getindex
    @ .\broadcast.jl:610 [inlined]
  [6] copy
    @ .\broadcast.jl:911 [inlined]
  [7] materialize
    @ .\broadcast.jl:872 [inlined]
  [8] broadcast_preserving_zero_d
    @ .\broadcast.jl:861 [inlined]
  [9] +
    @ .\arraymath.jl:16 [inlined]
 [10] maxeig!(integrator::OrdinaryDiffEqCore.ODEIntegrator{…}, cache::OrdinaryDiffEqStabilizedRK.ESERK5ConstantCache{…})
    @ OrdinaryDiffEqStabilizedRK .julia\packages\OrdinaryDiffEqStabilizedRK\tx1Qo\src\rkc_utils.jl:34
 [11] perform_step!(integrator::OrdinaryDiffEqCore.ODEIntegrator{…}, cache::OrdinaryDiffEqStabilizedRK.ESERK5ConstantCache{…}, repeat_step::Bool)
    @ OrdinaryDiffEqStabilizedRK .julia\packages\OrdinaryDiffEqStabilizedRK\tx1Qo\src\rkc_perform_step.jl:774
 [12] perform_step!(integrator::OrdinaryDiffEqCore.ODEIntegrator{…}, cache::OrdinaryDiffEqStabilizedRK.ESERK5ConstantCache{…})
    @ OrdinaryDiffEqStabilizedRK .julia\packages\OrdinaryDiffEqStabilizedRK\tx1Qo\src\rkc_perform_step.jl:771
 [13] solve!(integrator::OrdinaryDiffEqCore.ODEIntegrator{…})
    @ OrdinaryDiffEqCore .julia\packages\OrdinaryDiffEqCore\oFTse\src\solve.jl:610
 [14] #__solve#62
    @ .julia\packages\OrdinaryDiffEqCore\oFTse\src\solve.jl:7 [inlined]
 [15] __solve
    @ .julia\packages\OrdinaryDiffEqCore\oFTse\src\solve.jl:1 [inlined]
 [16] #solve_call#36
    @ .julia\packages\DiffEqBase\0oXZq\src\solve.jl:657 [inlined]
 [17] solve_call
    @ .julia\packages\DiffEqBase\0oXZq\src\solve.jl:614 [inlined]
 [18] #solve_up#45
    @ .julia\packages\DiffEqBase\0oXZq\src\solve.jl:1211 [inlined]
 [19] solve_up
    @ .julia\packages\DiffEqBase\0oXZq\src\solve.jl:1188 [inlined]
 [20] #solve#43
    @ .julia\packages\DiffEqBase\0oXZq\src\solve.jl:1083 [inlined]
 [21] solve(prob::ODEProblem{…}, args::ESERK5{…})
    @ .julia\packages\DiffEqBase\0oXZq\src\solve.jl:1073
 [22] top-level scope
    @ repex.jl:9

For solve(problem_mut, ESERK5()):

ERROR: DimensionError:  and s^-1 are not dimensionally compatible.
Stacktrace:
  [1] #s104#131
    @ .julia\packages\Unitful\sxiHA\src\conversion.jl:7 [inlined]
  [2] var"#s104#131"(::Any, s::Any, t::Any)
    @ Unitful .\none:0
  [3] (::Core.GeneratedFunctionStub)(::UInt64, ::LineNumberNode, ::Any, ::Vararg{Any})
    @ Core .\boot.jl:707
  [4] convfact(::Type{Float64}, s::Unitful.FreeUnits{(), NoDims, nothing}, t::Unitful.FreeUnits{(s^-1,), 𝐓^-1, nothing} )
    @ Unitful .julia\packages\Unitful\sxiHA\src\conversion.jl:54
  [5] uconvert(a::Unitful.FreeUnits{(), NoDims, nothing}, x::Quantity{Float64, 𝐓^-1, Unitful.FreeUnits{…}} )
    @ Unitful .julia\packages\Unitful\sxiHA\src\conversion.jl:102
  [6] convert(::Type{Float64}, y::Quantity{Float64, 𝐓^-1, Unitful.FreeUnits{(s^-1,), 𝐓^-1, nothing}}  )
    @ Unitful .julia\packages\Unitful\sxiHA\src\conversion.jl:167
  [7] setindex!
    @ .\genericmemory.jl:243 [inlined]
  [8] unsafe_copyto!(dest::Memory{Float64}, doffs::Int64, src::Memory{Quantity{…}}, soffs::Int64, n::Int64)
    @ Base .\genericmemory.jl:153
  [9] unsafe_copyto!
    @ .\genericmemory.jl:133 [inlined]
 [10] _copyto_impl!
    @ .\array.jl:308 [inlined]
 [11] copyto!
    @ .\array.jl:294 [inlined]
 [12] copyto!
    @ .\array.jl:319 [inlined]
 [13] fast_materialize!
    @ .julia\packages\FastBroadcast\wfdTr\src\FastBroadcast.jl:220 [inlined]
 [14] maxeig!(integrator::OrdinaryDiffEqCore.ODEIntegrator{…}, cache::OrdinaryDiffEqStabilizedRK.ESERK5Cache{…})
    @ OrdinaryDiffEqStabilizedRK .julia\packages\OrdinaryDiffEqStabilizedRK\tx1Qo\src\rkc_utils.jl:103
 [15] perform_step!(integrator::OrdinaryDiffEqCore.ODEIntegrator{…}, cache::OrdinaryDiffEqStabilizedRK.ESERK5Cache{…}, repeat_step::Bool)
    @ OrdinaryDiffEqStabilizedRK .julia\packages\OrdinaryDiffEqStabilizedRK\tx1Qo\src\rkc_perform_step.jl:853
 [16] perform_step!(integrator::OrdinaryDiffEqCore.ODEIntegrator{…}, cache::OrdinaryDiffEqStabilizedRK.ESERK5Cache{…})
    @ OrdinaryDiffEqStabilizedRK .julia\packages\OrdinaryDiffEqStabilizedRK\tx1Qo\src\rkc_perform_step.jl:848
 [17] solve!(integrator::OrdinaryDiffEqCore.ODEIntegrator{…})
    @ OrdinaryDiffEqCore .julia\packages\OrdinaryDiffEqCore\oFTse\src\solve.jl:610
 [18] #__solve#62
    @ .julia\packages\OrdinaryDiffEqCore\oFTse\src\solve.jl:7 [inlined]
 [19] __solve
    @ .julia\packages\OrdinaryDiffEqCore\oFTse\src\solve.jl:1 [inlined]
 [20] #solve_call#36
    @ .julia\packages\DiffEqBase\0oXZq\src\solve.jl:657 [inlined]
 [21] solve_call
    @ .julia\packages\DiffEqBase\0oXZq\src\solve.jl:614 [inlined]
 [22] #solve_up#45
    @ .julia\packages\DiffEqBase\0oXZq\src\solve.jl:1211 [inlined]
 [23] solve_up
    @ .julia\packages\DiffEqBase\0oXZq\src\solve.jl:1188 [inlined]
 [24] #solve#43
    @ .julia\packages\DiffEqBase\0oXZq\src\solve.jl:1083 [inlined]
 [25] solve(prob::ODEProblem{…}, args::ESERK5{…})
    @ DiffEqBase .julia\packages\DiffEqBase\0oXZq\src\solve.jl:1073
 [26] top-level scope
    @ repex.jl:10

Environment (please complete the following information):

  • Output of using Pkg; Pkg.status()
Status `Project.toml`
  [6e4b80f9] BenchmarkTools v1.6.0
βŒ… [f68482b8] Cthulhu v2.16.5
  [0c46a032] DifferentialEquations v7.16.1
  [31c24e10] Distributions v0.25.120
  [5ad8b20f] PhysicalConstants v0.2.4
βŒƒ [c3e4b0f8] Pluto v0.20.15
βŒƒ [731186ca] RecursiveArrayTools v3.37.0
βŒƒ [295af30f] Revise v3.8.0
  [1986cc42] Unitful v1.24.0
  • Output of using Pkg; Pkg.status(; mode = PKGMODE_MANIFEST)
Status `Manifest.toml`
  [47edcb42] ADTypes v1.17.0
  [1520ce14] AbstractTrees v0.4.5
  [7d9f7c33] Accessors v0.1.42
  [79e6a3ab] Adapt v4.3.0
  [66dad0bd] AliasTables v1.1.3
  [a95523ee] AlmostBlockDiagonals v0.1.10
  [ec485272] ArnoldiMethod v0.4.0
  [4fba245c] ArrayInterface v7.19.0
  [4c555306] ArrayLayouts v1.11.2
  [aae01518] BandedMatrices v1.9.4
  [6e4b80f9] BenchmarkTools v1.6.0
  [d1d4a3ce] BitFlags v0.1.9
  [62783981] BitTwiddlingConvenienceFunctions v0.1.6
  [764a87c0] BoundaryValueDiffEq v5.18.0
  [7227322d] BoundaryValueDiffEqAscher v1.8.0
  [56b672f2] BoundaryValueDiffEqCore v1.11.1
  [85d9eb09] BoundaryValueDiffEqFIRK v1.9.0
  [1a22d4ce] BoundaryValueDiffEqMIRK v1.9.0
  [9255f1d6] BoundaryValueDiffEqMIRKN v1.8.0
  [ed55bfe0] BoundaryValueDiffEqShooting v1.9.0
  [70df07ce] BracketingNonlinearSolve v1.3.0
  [fa961155] CEnum v0.5.0
  [2a0fbf3d] CPUSummary v0.2.7
  [49dc2e85] Calculus v0.5.2
  [d360d2e6] ChainRulesCore v1.26.0
  [fb6a15b2] CloseOpenIntervals v0.1.13
βŒ… [da1fd8a2] CodeTracking v1.3.9
  [944b1d66] CodecZlib v0.7.8
  [38540f10] CommonSolve v0.2.4
  [bbf7d656] CommonSubexpressions v0.3.1
  [f70d9fcc] CommonWorldInvalidations v1.0.0
  [34da2185] Compat v4.18.0
  [807dbc54] Compiler v0.1.1
  [b0b7db55] ComponentArrays v0.15.29
  [a33af91c] CompositionsBase v0.1.2
  [2569d6c7] ConcreteStructs v0.2.3
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  [5218b696] Configurations v0.17.6
  [187b0558] ConstructionBase v1.6.0
  [adafc99b] CpuId v0.3.1
βŒ… [f68482b8] Cthulhu v2.16.5
  [9a962f9c] DataAPI v1.16.0
βŒ… [864edb3b] DataStructures v0.18.22
  [e2d170a0] DataValueInterfaces v1.0.0
  [bcd4f6db] DelayDiffEq v5.58.0
βŒƒ [2b5f629d] DiffEqBase v6.183.0
  [459566f4] DiffEqCallbacks v4.9.0
  [77a26b50] DiffEqNoiseProcess v5.24.1
  [163ba53b] DiffResults v1.1.0
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  [0c46a032] DifferentialEquations v7.16.1
βŒƒ [a0c0ee7d] DifferentiationInterface v0.7.4
  [b4f34e82] Distances v0.10.12
  [31c24e10] Distributions v0.25.120
  [ffbed154] DocStringExtensions v0.9.5
  [4e289a0a] EnumX v1.0.5
  [f151be2c] EnzymeCore v0.8.12
  [460bff9d] ExceptionUnwrapping v0.1.11
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  [e2ba6199] ExprTools v0.1.10
  [21656369] ExpressionExplorer v1.1.3
  [55351af7] ExproniconLite v0.10.14
  [9d29842c] FastAlmostBandedMatrices v0.1.5
  [7034ab61] FastBroadcast v0.3.5
  [9aa1b823] FastClosures v0.3.2
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  [a4df4552] FastPower v1.1.3
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βŒƒ [6a86dc24] FiniteDiff v2.28.0
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βŒƒ [86223c79] Graphs v1.13.0
  [cd3eb016] HTTP v1.10.17
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  [82899510] IteratorInterfaceExtensions v1.0.0
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  [682c06a0] JSON v0.21.4
  [ae98c720] Jieko v0.2.1
βŒƒ [aa1ae85d] JuliaInterpreter v0.10.3
βŒ… [70703baa] JuliaSyntax v0.4.10
  [ccbc3e58] JumpProcesses v9.17.0
  [ba0b0d4f] Krylov v0.10.1
  [8ac3fa9e] LRUCache v1.6.2
  [10f19ff3] LayoutPointers v0.1.17
  [0e77f7df] LazilyInitializedFields v1.3.0
  [5078a376] LazyArrays v2.6.2
  [2d8b4e74] LevyArea v1.0.0
  [87fe0de2] LineSearch v0.1.4
  [d3d80556] LineSearches v7.4.0
βŒƒ [7ed4a6bd] LinearSolve v3.28.0
  [2ab3a3ac] LogExpFunctions v0.3.29
  [e6f89c97] LoggingExtras v1.1.0
βŒƒ [6f1432cf] LoweredCodeUtils v3.4.2
  [6c6e2e6c] MIMEs v1.1.0
  [1914dd2f] MacroTools v0.5.16
  [36869731] Malt v1.2.0
  [d125e4d3] ManualMemory v0.1.8
  [a3b82374] MatrixFactorizations v3.0.1
  [bb5d69b7] MaybeInplace v0.1.4
  [739be429] MbedTLS v1.1.9
  [eff96d63] Measurements v2.14.0
  [e1d29d7a] Missings v1.2.0
  [2e0e35c7] Moshi v0.3.7
  [99f44e22] MsgPack v1.2.1
  [46d2c3a1] MuladdMacro v0.2.4
  [d41bc354] NLSolversBase v7.10.0
  [2774e3e8] NLsolve v4.5.1
  [77ba4419] NaNMath v1.1.3
  [8913a72c] NonlinearSolve v4.10.0
  [be0214bd] NonlinearSolveBase v1.14.0
  [5959db7a] NonlinearSolveFirstOrder v1.7.0
  [9a2c21bd] NonlinearSolveQuasiNewton v1.8.0
  [26075421] NonlinearSolveSpectralMethods v1.3.0
  [4d8831e6] OpenSSL v1.5.0
  [429524aa] Optim v1.13.2
  [bac558e1] OrderedCollections v1.8.1
  [1dea7af3] OrdinaryDiffEq v6.101.0
  [89bda076] OrdinaryDiffEqAdamsBashforthMoulton v1.5.0
  [6ad6398a] OrdinaryDiffEqBDF v1.10.1
  [bbf590c4] OrdinaryDiffEqCore v1.30.0
  [50262376] OrdinaryDiffEqDefault v1.8.0
  [4302a76b] OrdinaryDiffEqDifferentiation v1.14.0
  [9286f039] OrdinaryDiffEqExplicitRK v1.4.0
  [e0540318] OrdinaryDiffEqExponentialRK v1.8.0
  [becaefa8] OrdinaryDiffEqExtrapolation v1.8.0
  [5960d6e9] OrdinaryDiffEqFIRK v1.16.0
  [101fe9f7] OrdinaryDiffEqFeagin v1.4.0
  [d3585ca7] OrdinaryDiffEqFunctionMap v1.5.0
  [d28bc4f8] OrdinaryDiffEqHighOrderRK v1.5.0
  [9f002381] OrdinaryDiffEqIMEXMultistep v1.7.0
  [521117fe] OrdinaryDiffEqLinear v1.6.0
  [1344f307] OrdinaryDiffEqLowOrderRK v1.6.0
  [b0944070] OrdinaryDiffEqLowStorageRK v1.6.0
  [127b3ac7] OrdinaryDiffEqNonlinearSolve v1.14.1
  [c9986a66] OrdinaryDiffEqNordsieck v1.4.0
  [5dd0a6cf] OrdinaryDiffEqPDIRK v1.6.0
  [5b33eab2] OrdinaryDiffEqPRK v1.4.0
  [04162be5] OrdinaryDiffEqQPRK v1.4.0
  [af6ede74] OrdinaryDiffEqRKN v1.5.0
  [43230ef6] OrdinaryDiffEqRosenbrock v1.16.1
  [2d112036] OrdinaryDiffEqSDIRK v1.7.0
  [669c94d9] OrdinaryDiffEqSSPRK v1.6.0
  [e3e12d00] OrdinaryDiffEqStabilizedIRK v1.6.0
  [358294b1] OrdinaryDiffEqStabilizedRK v1.4.0
  [fa646aed] OrdinaryDiffEqSymplecticRK v1.7.0
  [b1df2697] OrdinaryDiffEqTsit5 v1.5.0
  [79d7bb75] OrdinaryDiffEqVerner v1.6.0
  [90014a1f] PDMats v0.11.35
  [d96e819e] Parameters v0.12.3
  [69de0a69] Parsers v2.8.3
  [5ad8b20f] PhysicalConstants v0.2.4
βŒƒ [c3e4b0f8] Pluto v0.20.15
  [72656b73] PlutoDependencyExplorer v1.2.2
  [e409e4f3] PoissonRandom v0.4.6
  [f517fe37] Polyester v0.7.18
  [1d0040c9] PolyesterWeave v0.2.2
  [85a6dd25] PositiveFactorizations v0.2.4
βŒƒ [d236fae5] PreallocationTools v0.4.31
  [91cefc8d] PrecompileSignatures v3.0.3
βŒ… [aea7be01] PrecompileTools v1.2.1
  [21216c6a] Preferences v1.5.0
  [43287f4e] PtrArrays v1.3.0
  [1fd47b50] QuadGK v2.11.2
  [74087812] Random123 v1.7.1
  [e6cf234a] RandomNumbers v1.6.0
  [3cdcf5f2] RecipesBase v1.3.4
βŒƒ [731186ca] RecursiveArrayTools v3.37.0
  [189a3867] Reexport v1.2.2
  [2792f1a3] RegistryInstances v0.1.0
  [05181044] RelocatableFolders v1.0.1
  [ae029012] Requires v1.3.1
  [ae5879a3] ResettableStacks v1.1.1
βŒƒ [295af30f] Revise v3.8.0
  [79098fc4] Rmath v0.8.0
βŒƒ [f2b01f46] Roots v2.2.8
  [7e49a35a] RuntimeGeneratedFunctions v0.5.15
  [94e857df] SIMDTypes v0.1.0
βŒƒ [0bca4576] SciMLBase v2.108.0
  [19f34311] SciMLJacobianOperators v0.1.8
  [c0aeaf25] SciMLOperators v1.5.0
  [53ae85a6] SciMLStructures v1.7.0
  [6c6a2e73] Scratch v1.3.0
  [efcf1570] Setfield v1.1.2
  [777ac1f9] SimpleBufferStream v1.2.0
  [727e6d20] SimpleNonlinearSolve v2.7.0
  [699a6c99] SimpleTraits v0.9.5
  [ce78b400] SimpleUnPack v1.1.0
  [a2af1166] SortingAlgorithms v1.2.2
  [9f842d2f] SparseConnectivityTracer v1.0.0
  [0a514795] SparseMatrixColorings v0.4.21
  [276daf66] SpecialFunctions v2.5.1
  [aedffcd0] Static v1.2.0
  [0d7ed370] StaticArrayInterface v1.8.0
  [90137ffa] StaticArrays v1.9.14
  [1e83bf80] StaticArraysCore v1.4.3
  [10745b16] Statistics v1.11.1
  [82ae8749] StatsAPI v1.7.1
  [2913bbd2] StatsBase v0.34.6
  [4c63d2b9] StatsFuns v1.5.0
  [9672c7b4] SteadyStateDiffEq v2.5.0
  [789caeaf] StochasticDiffEq v6.81.0
βŒƒ [7792a7ef] StrideArraysCore v0.5.7
  [c3572dad] Sundials v4.28.0
  [2efcf032] SymbolicIndexingInterface v0.3.43
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βŒ… [fb77eaff] Sundials_jll v5.2.3+0
  [1317d2d5] oneTBB_jll v2022.0.0+0
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  [8f399da3] Libdl v1.11.0
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  [56ddb016] Logging v1.11.0
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  [44cfe95a] Pkg v1.11.0
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  [9e88b42a] Serialization v1.11.0
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  [6462fe0b] Sockets v1.11.0
  [2f01184e] SparseArrays v1.11.0
  [f489334b] StyledStrings v1.11.0
  [4607b0f0] SuiteSparse
  [fa267f1f] TOML v1.0.3
  [a4e569a6] Tar v1.10.0
  [8dfed614] Test v1.11.0
  [cf7118a7] UUIDs v1.11.0
  [4ec0a83e] Unicode v1.11.0
  [e66e0078] CompilerSupportLibraries_jll v1.1.1+0
  [deac9b47] LibCURL_jll v8.6.0+0
  [e37daf67] LibGit2_jll v1.7.2+0
  [29816b5a] LibSSH2_jll v1.11.0+1
  [c8ffd9c3] MbedTLS_jll v2.28.6+0
  [14a3606d] MozillaCACerts_jll v2023.12.12
  [4536629a] OpenBLAS_jll v0.3.27+1
  [05823500] OpenLibm_jll v0.8.5+0
  [bea87d4a] SuiteSparse_jll v7.7.0+0
  [83775a58] Zlib_jll v1.2.13+1
  [8e850b90] libblastrampoline_jll v5.11.0+0
  [8e850ede] nghttp2_jll v1.59.0+0
  [3f19e933] p7zip_jll v17.4.0+2
  • Output of versioninfo()
Julia Version 1.11.5
Commit 760b2e5b73 (2025-04-14 06:53 UTC)
Build Info:
  Official https://julialang.org/ release
Platform Info:
  OS: Windows (x86_64-w64-mingw32)
  CPU: 14 Γ— Intel(R) Core(TM) Ultra 7 165U
  WORD_SIZE: 64
  LLVM: libLLVM-16.0.6 (ORCJIT, alderlake)
Threads: 1 default, 0 interactive, 1 GC (on 14 virtual cores)
Environment:
  JULIA_EDITOR = code
  JULIA_VSCODE_REPL = 1

Additional context

For the mutable example, I notice that the type of fsalfirst is rateType (in this case Vector{Quantity{Float64, 𝐓 ^-1, FreeUnits{(s^-1,), 𝐓 ^-1, nothing}}}), whereas the array z is of type uType (Vector{Float64}). This does of course cause trouble when the contents of fsalfirst is copied into z:


The constant example seems to have a similar dimension problem.

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