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Vector ODE duplicating length of intial condition and not shifting equation to observed #2964

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Snowd1n opened this issue Aug 14, 2024 · 1 comment
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@Snowd1n
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Snowd1n commented Aug 14, 2024

Here is 2 bugs that I think are somewhat interlinked. First of when I structural_simplify a model where I set a vector variable to equal 'itself' in a different namespace in a connection, structural_simplify doesn't shift this connection to observed and instead thinks that these are equations it needs to solve. This is in direct contradiction to the expected behaviour and that which happens when the variable is instead a scalar. Below is an MWE I will use for the whole bug report.

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

function eq_factory(length;name)
    @variables y(t)[1:length]

    @named dy = y_eq_template(length)

    connections = [dy.rhs ~ rhs_function_wrapper(length),
                   dy.y ~ y]
    
    compose(ODESystem(connections,t;name),dy)
end

function y_eq_template(length;name)
    @variables y(t)[1:length] rhs(t)[1:length]

    eqs = D(y) ~ rhs

    ODESystem(eqs,t;name)
end

function rhs_function_wrapper(length)
    @variables y(t)[1:length]
    @parameters a b

    return rhs_function(y,a,b,t)
end

function rhs_function(y::AbstractVector,a::Real,b::Real,t::Real)
    return (y*a+b)./(t)
end
@register_array_symbolic rhs_function(y::AbstractVector,a::Num,b::Num,t::Num) begin
    size = (length(y),)
    eltype = eltype(y)
end

@named test_sys = eq_factory(10)
test_simp = structural_simplify(test_sys)
u0 = [test_simp.y=>zeros(10)]
p = [test_simp.a=>2,
     test_simp.b=>5]
tspan=(0.0,10.0)
prob=ODEProblem(test_simp,u0,tspan,p)
#sol = solve(prob,Rosenbrock23();reltol=1e-3,abstol=1e-3)

When I look at the equations for test_simp, the output is as follows: The fact that the variable equals itself remains and there is no observed equations. Though as said earlier, this equation is a simple equality that should be moved to observed as far as I am aware, as is done for scalars.

20-element Vector{Equation}:
 Differential(t)((dy₊y(t))[1]) ~ (dy₊rhs(t))[1]
 Differential(t)((dy₊y(t))[2]) ~ (dy₊rhs(t))[2]
 Differential(t)((dy₊y(t))[3]) ~ (dy₊rhs(t))[3]
 Differential(t)((dy₊y(t))[4]) ~ (dy₊rhs(t))[4]
 Differential(t)((dy₊y(t))[5]) ~ (dy₊rhs(t))[5]
 Differential(t)((dy₊y(t))[6]) ~ (dy₊rhs(t))[6]
 Differential(t)((dy₊y(t))[7]) ~ (dy₊rhs(t))[7]
 
 0 ~ -(dy₊y(t))[4] + (y(t))[4]
 0 ~ -(dy₊y(t))[5] + (y(t))[5]
 0 ~ -(dy₊y(t))[6] + (y(t))[6]
 0 ~ -(dy₊y(t))[7] + (y(t))[7]
 0 ~ -(dy₊y(t))[8] + (y(t))[8]
 0 ~ -(dy₊y(t))[9] + (y(t))[9]
 0 ~ -(dy₊y(t))[10] + (y(t))[10]

This then leads to what I think is a following bug which is once I create the problem, the initial vector length is twice that of the provided one. Which I assume is because of something to do with the presence of the 0 ~ ... equation.

ODEProblem with uType Vector{Float64} and tType Float64. In-place: true
timespan: (0.0, 10.0)
u0: 20-element Vector{Float64}:
 0.0
 0.0
 0.0
 0.0
 0.0
 0.0
 0.0
 
 0.0
 0.0
 0.0
 0.0
 0.0
 0.0
 0.0

This is accompanied by a 'Warning: Internal error: Variable (y(t))[10] was marked as being in 0 ~ -(dy₊rhs(t))[10] + (rhs_function(y(t), a, b, t))[10], but was actually zero' performed n*n times where n is the length of y. This is I think because register symbolic wants the whole vector provided at each solve call. This is of course not required for this example but in my real work, I need the whole array sending for each individual vector point so that is why it is a registerd_symbolic_array like this.

Environment (please complete the following information):

Status `C:\Users\u5522838\OneDrive\PhD\LightMatter.jl\Project.toml`
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  [39dd38d3] Dierckx v0.5.3
  [0c46a032] DifferentialEquations v7.13.0
  [f6369f11] ForwardDiff v0.10.36
  [615f187c] IfElse v0.1.1
  [de52edbc] Integrals v4.4.1
  [961ee093] ModelingToolkit v9.32.0
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  [90137ffa] StaticArrays v1.9.7
⌅ [0c5d862f] Symbolics v5.36.0
  [1986cc42] Unitful v1.21.0
Info Packages marked with ⌅ have new versions available but compatibility constraints restrict them from upgrading. To see why use `status --outdated`
  • Output of using Pkg; Pkg.status(; mode = PKGMODE_MANIFEST)
Status `C:\Users\u5522838\OneDrive\PhD\LightMatter.jl\Manifest.toml`
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⌃ [19f23fe9] SymbolicLimits v0.2.1
⌅ [d1185830] SymbolicUtils v2.1.2
⌅ [0c5d862f] Symbolics v5.36.0
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  [a4ae2306] libaom_jll v3.9.0+0
  [0ac62f75] libass_jll v0.15.1+0
  [1183f4f0] libdecor_jll v0.2.2+0
  [2db6ffa8] libevdev_jll v1.11.0+0
  [f638f0a6] libfdk_aac_jll v2.0.2+0
  [36db933b] libinput_jll v1.18.0+0
  [b53b4c65] libpng_jll v1.6.43+1
  [f27f6e37] libvorbis_jll v1.3.7+2
  [009596ad] mtdev_jll v1.1.6+0
  [1317d2d5] oneTBB_jll v2021.12.0+0
  [1270edf5] x264_jll v2021.5.5+0
  [dfaa095f] x265_jll v3.5.0+0
  [d8fb68d0] xkbcommon_jll v1.4.1+1
  [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
  [9abbd945] Profile
  [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
  [efcefdf7] PCRE2_jll v10.42.0+1
  [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
Info Packages marked with ⌃ and ⌅ have new versions available. Those with ⌃ may be upgradable, but those with ⌅ are restricted by compatibility constraints from upgrading. To see why use `status --outdated -m`
  • Output of versioninfo()
Julia Version 1.10.4
Commit 48d4fd4843 (2024-06-04 10:41 UTC)
Build Info:
  Official https://julialang.org/ release
Platform Info:
  OS: Windows (x86_64-w64-mingw32)
  CPU: 20 × 13th Gen Intel(R) Core(TM) i7-13700H
  WORD_SIZE: 64
  LIBM: libopenlibm
  LLVM: libLLVM-15.0.7 (ORCJIT, goldmont)
Threads: 12 default, 0 interactive, 6 GC (on 20 virtual cores)
Environment:
  JULIA_EDITOR = code
  JULIA_NUM_THREADS = 12
@Snowd1n Snowd1n added the bug Something isn't working label Aug 14, 2024
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Snowd1n commented Aug 16, 2024

The only way I have made this work is to instead of creating and matching the variable 'y' instead you must send dY.y to the function rhs_wrapper

@Snowd1n Snowd1n closed this as completed Aug 16, 2024
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