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Vector valued DataInterpolations.jl interpolation causes indexing failure in MTK equation #3341

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jbiffl opened this issue Jan 17, 2025 · 0 comments
Open

Vector valued DataInterpolations.jl interpolation causes indexing failure in MTK equation #3341

jbiffl opened this issue Jan 17, 2025 · 0 comments
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bug Something isn't working

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@jbiffl
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jbiffl commented Jan 17, 2025

Describe the bug 🐞

Using matrix u in DataInterpolations as a function in MTK equation causes an error when attempting to index the interpolation function.

Expected behavior

Including index of interpolation function in MTK equation allows for indexing of interpolated point.

julia> interpolation(0.5)
2-element Vector{Float64}:
 2.0
 3.0

julia>[D(u[i]) ~ interpolation(t)[i] for i in 1:2] 

#= 
simplified due to complex LinearInterpolation MTK syntax
LinearInterpolation{Matrix{Int64}, Vector{Int64}, Vector{Int64}, Vector{Vector{Float64}}, Int64, (2,)}([1 3 5; 2 4 6], [0, 1, 2], Int64[], DataInterpolations.LinearParameterCache{Vector{Vector{Float64}}}(Vector{Float64}[]), false, FindFirstFunctions.Guesser{Vector{Int64}}([0, 1, 2], Base.RefValue{Int64}(1), true), false, false)(t)
=#
2-element Vector{Equation}:
[D(u[1] ~ interpolation(t)[1],
D(u[2] ~ interpolation(t)[2]]

Minimal Reproducible Example 👇

Without MRE, we would only be able to help you to a limited extent, and attention to the issue would be limited. to know more about MRE refer to wikipedia and stackoverflow.

using ModelingToolkit, DataInterpolations
using ModelingToolkit: t_nounits as t, D_nounits as D

interp = LinearInterpolation([1 2; 3 4; 5 6]', [0, 1, 2])

@variables c(t)[1:2]

eqs = [D(c[i]) ~ interp(t)[i] for i in 1:2]

Error & Stacktrace ⚠️

BoundsError: attempt to access Num at index [2]
Stacktrace:
  [1] getindex(x::Num, i::Int64)
    @ Base .\number.jl:98
  [2] (::var"#13#14")(i::Int64)
    @ Main .\none:0
  [3] iterate
    @ .\generator.jl:48 [inlined]
  [4] collect_to!(dest::Vector{Equation}, itr::Base.Generator{UnitRange{Int64}, var"#13#14"}, offs::Int64, st::Int64)
    @ Base .\array.jl:849
  [5] collect_to_with_first!(dest::Vector{Equation}, v1::Equation, itr::Base.Generator{UnitRange{Int64}, var"#13#14"}, st::Int64)
    @ Base .\array.jl:827
  [6] collect(itr::Base.Generator{UnitRange{Int64}, var"#13#14"})
    @ Base .\array.jl:801
  [7] top-level scope
    @ Untitled-2:8
  [8] eval
    @ .\boot.jl:430 [inlined]
  [9] include_string(mapexpr::typeof(REPL.softscope), mod::Module, code::String, filename::String)
    @ Base .\loading.jl:2734
 [10] invokelatest(::Any, ::Any, ::Vararg{Any}; kwargs::@Kwargs{})
    @ Base .\essentials.jl:1055
 [11] invokelatest(::Any, ::Any, ::Vararg{Any})
    @ Base .\essentials.jl:1052
 [12] inlineeval(m::Module, code::String, code_line::Int64, code_column::Int64, file::String; softscope::Bool)
    @ VSCodeServer c:\Users\johnb\.vscode\extensions\julialang.language-julia-1.127.2\scripts\packages\VSCodeServer\src\eval.jl:271
 [13] (::VSCodeServer.var"#69#74"{Bool, Bool, Bool, Module, String, Int64, Int64, String, VSCodeServer.ReplRunCodeRequestParams})()
    @ VSCodeServer c:\Users\johnb\.vscode\extensions\julialang.language-julia-1.127.2\scripts\packages\VSCodeServer\src\eval.jl:181
 [14] withpath(f::VSCodeServer.var"#69#74"{Bool, Bool, Bool, Module, String, Int64, Int64, String, VSCodeServer.ReplRunCodeRequestParams}, path::String)
    @ VSCodeServer c:\Users\johnb\.vscode\extensions\julialang.language-julia-1.127.2\scripts\packages\VSCodeServer\src\repl.jl:276
 [15] (::VSCodeServer.var"#68#73"{Bool, Bool, Bool, Module, String, Int64, Int64, String, VSCodeServer.ReplRunCodeRequestParams})()
    @ VSCodeServer c:\Users\johnb\.vscode\extensions\julialang.language-julia-1.127.2\scripts\packages\VSCodeServer\src\eval.jl:179
 [16] hideprompt(f::VSCodeServer.var"#68#73"{Bool, Bool, Bool, Module, String, Int64, Int64, String, VSCodeServer.ReplRunCodeRequestParams})
    @ VSCodeServer c:\Users\johnb\.vscode\extensions\julialang.language-julia-1.127.2\scripts\packages\VSCodeServer\src\repl.jl:38
 [17] #67
    @ c:\Users\johnb\.vscode\extensions\julialang.language-julia-1.127.2\scripts\packages\VSCodeServer\src\eval.jl:150 [inlined]
 [18] with_logstate(f::VSCodeServer.var"#67#72"{Bool, Bool, Bool, Module, String, Int64, Int64, String, VSCodeServer.ReplRunCodeRequestParams}, logstate::Base.CoreLogging.LogState)
    @ Base.CoreLogging .\logging\logging.jl:522
 [19] with_logger
    @ .\logging\logging.jl:632 [inlined]
 [20] (::VSCodeServer.var"#66#71"{VSCodeServer.ReplRunCodeRequestParams})()
    @ VSCodeServer c:\Users\johnb\.vscode\extensions\julialang.language-julia-1.127.2\scripts\packages\VSCodeServer\src\eval.jl:263
 [21] #invokelatest#2
    @ .\essentials.jl:1055 [inlined]
 [22] invokelatest(::Any)
    @ Base .\essentials.jl:1052
 [23] (::VSCodeServer.var"#64#65")()
    @ VSCodeServer c:\Users\johnb\.vscode\extensions\julialang.language-julia-1.127.2\scripts\packages\VSCodeServer\src\eval.jl:34
in expression starting at Untitled-2:8

Environment (please complete the following information):

  • Output of using Pkg; Pkg.status()
Status `\path\Project.toml`
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  [b0b7db55] ComponentArrays v0.15.22
  [a93c6f00] DataFrames v1.7.0
⌃ [82cc6244] DataInterpolations v6.6.0
  [459566f4] DiffEqCallbacks v4.2.2
  [aae7a2af] DiffEqFlux v4.1.0
  [0c46a032] DifferentialEquations v7.15.0
  [31c24e10] Distributions v0.25.117
  [5b8099bc] DomainSets v0.7.14
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  [cfdabe9e] FiniteVolumeMethod1D v1.1.4
  [f6369f11] ForwardDiff v0.10.38
  [7ed4a6bd] LinearSolve v2.38.0
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  [94925ecb] MethodOfLines v0.11.7
  [961ee093] ModelingToolkit v9.60.0
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  [3bd65402] Optimisers v0.4.4
  [7f7a1694] Optimization v4.0.5
  [e4faabce] PProf v3.1.3
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⌅ [e88e6eb3] Zygote v0.6.75
  • Output of using Pkg; Pkg.status(; mode = PKGMODE_MANIFEST)
Status `\path\Manifest.toml`
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  [70df07ce] BracketingNonlinearSolve v1.1.0
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  [861a8166] Combinatorics v1.0.2
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⌃ [82cc6244] DataInterpolations v6.6.0
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  [7c1d4256] DynamicPolynomials v0.6.1
  [06fc5a27] DynamicQuantities v1.4.0
  [4e289a0a] EnumX v1.0.4
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⌅ [6b7a57c9] Expronicon v0.8.5
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  [aea7be01] PrecompileTools v1.2.1
  [21216c6a] Preferences v1.4.3
  [08abe8d2] PrettyTables v2.4.0
  [27ebfcd6] Primes v0.5.6
  [33c8b6b6] ProgressLogging v0.1.4
  [92933f4c] ProgressMeter v1.10.2
  [3349acd9] ProtoBuf v1.0.16
  [43287f4e] PtrArrays v1.3.0
  [1fd47b50] QuadGK v2.11.1
  [79ee0514] RadialBasisFunctions v0.2.4
  [74087812] Random123 v1.7.0
  [e6cf234a] RandomNumbers v1.6.0
  [c84ed2f1] Ratios v0.4.5
  [c1ae055f] RealDot v0.1.0
  [3cdcf5f2] RecipesBase v1.3.4
  [01d81517] RecipesPipeline v0.6.12
  [731186ca] RecursiveArrayTools v3.27.4
  [f2c3362d] RecursiveFactorization v0.2.23
  [189a3867] Reexport v1.2.2
  [2792f1a3] RegistryInstances v0.1.0
  [05181044] RelocatableFolders v1.0.1
  [ae029012] Requires v1.3.0
  [ae5879a3] ResettableStacks v1.1.1
  [37e2e3b7] ReverseDiff v1.15.3
  [79098fc4] Rmath v0.8.0
  [7e49a35a] RuntimeGeneratedFunctions v0.5.13
  [9dfe8606] SCCNonlinearSolve v1.0.0
  [94e857df] SIMDTypes v0.1.0
  [476501e8] SLEEFPirates v0.6.43
  [0bca4576] SciMLBase v2.71.0
  [19f34311] SciMLJacobianOperators v0.1.1
  [c0aeaf25] SciMLOperators v0.3.12
  [1ed8b502] SciMLSensitivity v7.72.0
  [53ae85a6] SciMLStructures v1.6.1
  [7e506255] ScopedValues v1.3.0
  [6c6a2e73] Scratch v1.2.1
  [eb7571c6] SearchSpaces v0.2.0
  [91c51154] SentinelArrays v1.4.8
  [efcf1570] Setfield v1.1.1
  [992d4aef] Showoff v1.0.3
  [777ac1f9] SimpleBufferStream v1.2.0
  [727e6d20] SimpleNonlinearSolve v2.1.0
  [699a6c99] SimpleTraits v0.9.4
  [ce78b400] SimpleUnPack v1.1.0
  [66db9d55] SnoopPrecompile v1.0.3
  [a2af1166] SortingAlgorithms v1.2.1
  [9f842d2f] SparseConnectivityTracer v0.6.9
  [47a9eef4] SparseDiffTools v2.23.1
  [dc90abb0] SparseInverseSubset v0.1.2
  [0a514795] SparseMatrixColorings v0.4.10
  [e56a9233] Sparspak v0.3.9
  [d4ead438] SpatialIndexing v0.1.6
  [276daf66] SpecialFunctions v2.5.0
  [860ef19b] StableRNGs v1.0.2
  [aedffcd0] Static v1.1.1
  [0d7ed370] StaticArrayInterface v1.8.0
  [90137ffa] StaticArrays v1.9.10
  [1e83bf80] StaticArraysCore v1.4.3
  [10745b16] Statistics v1.11.1
  [82ae8749] StatsAPI v1.7.0
  [2913bbd2] StatsBase v0.34.4
  [4c63d2b9] StatsFuns v1.3.2
  [9672c7b4] SteadyStateDiffEq v2.4.1
  [789caeaf] StochasticDiffEq v6.72.1
  [7792a7ef] StrideArraysCore v0.5.7
  [892a3eda] StringManipulation v0.4.0
⌃ [09ab397b] StructArrays v0.6.21
  [53d494c1] StructIO v0.3.1
  [9f78cca6] SummationByPartsOperators v0.5.73
  [c3572dad] Sundials v4.26.1
  [286e6d88] SymRCM v0.2.2
  [2efcf032] SymbolicIndexingInterface v0.3.37
  [19f23fe9] SymbolicLimits v0.2.2
  [d1185830] SymbolicUtils v3.11.0
  [0c5d862f] Symbolics v6.23.0
  [3783bdb8] TableTraits v1.0.1
  [bd369af6] Tables v1.12.0
  [62fd8b95] TensorCore v0.1.1
  [8ea1fca8] TermInterface v2.0.0
  [5d786b92] TerminalLoggers v0.1.7
  [1c621080] TestItems v1.0.0
  [8290d209] ThreadingUtilities v0.5.2
  [a759f4b9] TimerOutputs v0.5.26
  [0796e94c] Tokenize v0.5.29
  [9f7883ad] Tracker v0.2.37
  [3bb67fe8] TranscodingStreams v0.11.3
  [d5829a12] TriangularSolve v0.2.1
  [410a4b4d] Tricks v0.1.10
  [781d530d] TruncatedStacktraces v1.4.0
  [5c2747f8] URIs v1.5.1
  [3a884ed6] UnPack v1.0.2
  [1cfade01] UnicodeFun v0.4.1
  [1986cc42] Unitful v1.22.0
  [45397f5d] UnitfulLatexify v1.6.4
  [a7c27f48] Unityper v0.1.6
  [9602ed7d] Unrolled v0.1.5
  [013be700] UnsafeAtomics v0.3.0
  [41fe7b60] Unzip v0.2.0
  [3d5dd08c] VectorizationBase v0.21.71
  [19fa3120] VertexSafeGraphs v0.2.0
  [897b6980] WeakValueDicts v0.1.0
  [d49dbf32] WeightInitializers v1.1.1
  [efce3f68] WoodburyMatrices v1.0.0
  [fdbf4ff8] XLSX v0.10.4
  [49080126] ZipArchives v2.4.0
  [a5390f91] ZipFile v0.10.1
⌅ [e88e6eb3] Zygote v0.6.75
  [700de1a5] ZygoteRules v0.2.5
  [02a925ec] cuDNN v1.4.1
  [6e34b625] Bzip2_jll v1.0.8+4
⌅ [4ee394cb] CUDA_Driver_jll v0.10.4+0
  [76a88914] CUDA_Runtime_jll v0.15.5+0
  [62b44479] CUDNN_jll v9.4.0+0
  [83423d85] Cairo_jll v1.18.2+1
  [ee1fde0b] Dbus_jll v1.14.10+0
  [7cc45869] Enzyme_jll v0.0.172+0
  [2702e6a9] EpollShim_jll v0.0.20230411+1
  [2e619515] Expat_jll v2.6.4+3
⌅ [b22a6f82] FFMPEG_jll v4.4.4+1
  [f5851436] FFTW_jll v3.3.10+3
  [a3f928ae] Fontconfig_jll v2.15.0+0
  [d7e528f0] FreeType2_jll v2.13.3+1
  [559328eb] FriBidi_jll v1.0.16+0
  [0656b61e] GLFW_jll v3.4.0+2
  [d2c73de3] GR_jll v0.73.10+0
  [78b55507] Gettext_jll v0.21.0+0
  [7746bdde] Glib_jll v2.82.4+0
  [3b182d85] Graphite2_jll v1.3.14+1
  [3c863552] Graphviz_jll v2.50.0+1
  [2e76f6c2] HarfBuzz_jll v8.5.0+0
  [e33a78d0] Hwloc_jll v2.11.2+3
  [1d5cc7b8] IntelOpenMP_jll v2024.2.1+0
  [aacddb02] JpegTurbo_jll v3.1.1+0
  [9c1d0b0a] JuliaNVTXCallbacks_jll v0.2.1+0
  [c1c5ebd0] LAME_jll v3.100.2+0
  [88015f11] LERC_jll v4.0.1+0
  [dad2f222] LLVMExtra_jll v0.0.34+0
  [1d63c593] LLVMOpenMP_jll v18.1.7+0
  [dd4b983a] LZO_jll v2.10.3+0
  [81d17ec3] L_BFGS_B_jll v3.0.1+0
⌅ [e9f186c6] Libffi_jll v3.2.2+2
  [d4300ac3] Libgcrypt_jll v1.11.0+0
  [7e76a0d4] Libglvnd_jll v1.7.0+0
  [7add5ba3] Libgpg_error_jll v1.51.1+0
  [94ce4f54] Libiconv_jll v1.18.0+0
  [4b2f31a3] Libmount_jll v2.40.3+0
  [89763e89] Libtiff_jll v4.7.1+0
  [38a345b3] Libuuid_jll v2.40.3+0
  [856f044c] MKL_jll v2024.2.0+0
  [e98f9f5b] NVTX_jll v3.1.0+2
  [e7412a2a] Ogg_jll v1.3.5+1
  [458c3c95] OpenSSL_jll v3.0.15+3
  [efe28fd5] OpenSpecFun_jll v0.5.6+0
  [91d4177d] Opus_jll v1.3.3+0
  [36c8627f] Pango_jll v1.55.5+0
⌅ [30392449] Pixman_jll v0.43.4+0
⌅ [c0090381] Qt6Base_jll v6.7.1+1
  [629bc702] Qt6Declarative_jll v6.7.1+2
  [ce943373] Qt6ShaderTools_jll v6.7.1+1
  [e99dba38] Qt6Wayland_jll v6.7.1+1
  [f50d1b31] Rmath_jll v0.5.1+0
⌅ [fb77eaff] Sundials_jll v5.2.3+0
  [a44049a8] Vulkan_Loader_jll v1.3.243+0
  [a2964d1f] Wayland_jll v1.21.0+2
  [2381bf8a] Wayland_protocols_jll v1.36.0+0
  [02c8fc9c] XML2_jll v2.13.5+0
  [aed1982a] XSLT_jll v1.1.42+0
  [ffd25f8a] XZ_jll v5.6.4+0
  [f67eecfb] Xorg_libICE_jll v1.1.1+0
  [c834827a] Xorg_libSM_jll v1.2.4+0
  [4f6342f7] Xorg_libX11_jll v1.8.6+3
  [0c0b7dd1] Xorg_libXau_jll v1.0.12+0
  [935fb764] Xorg_libXcursor_jll v1.2.3+0
  [a3789734] Xorg_libXdmcp_jll v1.1.5+0
  [1082639a] Xorg_libXext_jll v1.3.6+3
  [d091e8ba] Xorg_libXfixes_jll v6.0.0+0
  [a51aa0fd] Xorg_libXi_jll v1.8.2+0
  [d1454406] Xorg_libXinerama_jll v1.1.5+0
  [ec84b674] Xorg_libXrandr_jll v1.5.4+0
  [ea2f1a96] Xorg_libXrender_jll v0.9.11+1
  [14d82f49] Xorg_libpthread_stubs_jll v0.1.2+0
  [c7cfdc94] Xorg_libxcb_jll v1.17.0+3
  [cc61e674] Xorg_libxkbfile_jll v1.1.2+1
  [e920d4aa] Xorg_xcb_util_cursor_jll v0.1.4+0
  [12413925] Xorg_xcb_util_image_jll v0.4.0+1
  [2def613f] Xorg_xcb_util_jll v0.4.0+1
  [975044d2] Xorg_xcb_util_keysyms_jll v0.4.0+1
  [0d47668e] Xorg_xcb_util_renderutil_jll v0.3.9+1
  [c22f9ab0] Xorg_xcb_util_wm_jll v0.4.1+1
  [35661453] Xorg_xkbcomp_jll v1.4.6+1
  [33bec58e] Xorg_xkeyboard_config_jll v2.39.0+0
  [c5fb5394] Xorg_xtrans_jll v1.5.1+0
  [3161d3a3] Zstd_jll v1.5.7+0
  [1e29f10c] demumble_jll v1.3.0+0
  [35ca27e7] eudev_jll v3.2.9+0
  [214eeab7] fzf_jll v0.56.3+0
  [1a1c6b14] gperf_jll v3.1.1+1
  [a4ae2306] libaom_jll v3.11.0+0
  [0ac62f75] libass_jll v0.15.2+0
  [1183f4f0] libdecor_jll v0.2.2+0
  [2db6ffa8] libevdev_jll v1.11.0+0
  [f638f0a6] libfdk_aac_jll v2.0.3+0
  [36db933b] libinput_jll v1.18.0+0
  [b53b4c65] libpng_jll v1.6.45+1
  [f27f6e37] libvorbis_jll v1.3.7+2
  [009596ad] mtdev_jll v1.1.6+0
  [1317d2d5] oneTBB_jll v2021.12.0+0
  [cf2c5f97] pprof_jll v1.0.1+0
⌅ [1270edf5] x264_jll v2021.5.5+0
⌅ [dfaa095f] x265_jll v3.5.0+0
  [d8fb68d0] xkbcommon_jll v1.4.1+2
  [0dad84c5] ArgTools v1.1.2
  [56f22d72] Artifacts v1.11.0
  [2a0f44e3] Base64 v1.11.0
  [ade2ca70] Dates v1.11.0
  [8ba89e20] Distributed v1.11.0
  [f43a241f] Downloads v1.6.0
  [7b1f6079] FileWatching v1.11.0
  [9fa8497b] Future v1.11.0
  [b77e0a4c] InteractiveUtils v1.11.0
  [4af54fe1] LazyArtifacts v1.11.0
  [b27032c2] LibCURL v0.6.4
  [76f85450] LibGit2 v1.11.0
  [8f399da3] Libdl v1.11.0
  [37e2e46d] LinearAlgebra v1.11.0
  [56ddb016] Logging v1.11.0
  [d6f4376e] Markdown v1.11.0
  [a63ad114] Mmap v1.11.0
  [ca575930] NetworkOptions v1.2.0
  [44cfe95a] Pkg v1.11.0
  [de0858da] Printf v1.11.0
  [9abbd945] Profile v1.11.0
  [3fa0cd96] REPL v1.11.0
  [9a3f8284] Random v1.11.0
  [ea8e919c] SHA v0.7.0
  [9e88b42a] Serialization v1.11.0
  [1a1011a3] SharedArrays v1.11.0
  [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 v0.8.1+2
  [efcefdf7] PCRE2_jll v10.42.0+1
  [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 1.11.2
Commit 5e9a32e7af (2024-12-01 20:02 UTC)
Build Info:
  Official https://julialang.org/ release
Platform Info:
  OS: Windows (x86_64-w64-mingw32)
  CPU: 12 × AMD Ryzen 5 5600X 6-Core Processor
  WORD_SIZE: 64
  LLVM: libLLVM-16.0.6 (ORCJIT, znver3)
Threads: 12 default, 0 interactive, 6 GC (on 12 virtual cores)
Environment:
  JULIA_EDITOR = code

Additional context
It would be nice to have a single interpolation object rather than a vector of multiple, but a workaround is possible.
Workaround:

u_vals = [1 2; 3 4; 5 6]
t_vals = [0, 1, 2]
interpvec = [LinearInterpolation(u_vals[:,i], t_vals) for i in 1:2]
eqs = [D(c[i]) ~ interpvec[i](t) for i in 1:2]
@jbiffl jbiffl added the bug Something isn't working label Jan 17, 2025
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