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Add error hint on implicit Float conversion from Num
```julia using ModelingToolkit, OrdinaryDiffEq @variables t x(t) @parameters y ff(x) = x + y @register_symbolic ff(x) D = Differential(t) eqs = [D(x) ~ ff(x)] @nAmed sys = ODESystem(eqs,t) prob = ODEProblem(sys, [x=>1, y=>1], (0.0,1.0)) sol = solve(prob, Tsit5()) ``` Example: ```julia julia> sol = solve(prob, Tsit5()) ERROR: MethodError: no method matching Float64(::Num) An implict conversion of symbolic Num into a Float64 was encountered. Common causes for this error include: 1. A substitution resulted in numerical values, but is not automatically converted to numerical values. For example: ```julia @variables x y result = [1.0] A = [x x^2 y+x 2x + y] sub = substitute(A, Dict([x=>2.0, y=>2])) result[1] = sub[1] ``` The reason is because the result of `sub` is still symbolic: ```julia julia> sub = substitute(A, Dict([x=>2.0, y=>2])) 2×2 Matrix{Num}: 2.0 4.0 4.0 6.0 ``` Notice that the return is a `Matrix{Num}`, not a `Matrix{Float64}`. To fix this, ensure that the type is converted, i.e. `sub = Symbolics.unwrap.(substitute(A, Dict([x=>2.0, y=>2])))`, or `result[1] = Symbolics.unwrap(sub[1])`. 2. Captured symbolic values inside of registered functions. An example of this version of the error is the following: ```julia @variables x y ff(x) = x + y @register_symbolic ff(x) result = [0.0] result[1] = eval(build_function(ff(x),[x,y]))(1.0) # Error ``` Notice that the is the fact that the generated function call `eval(build_function(ff(x),x))(1.0)` returns a symbolic value (`1.0 + y`), not a numerical value. This is because the value `y` is a global symbol enclosed into `ff`. To fix this, ensure that any symbolic value that is used in registered functions is passed in, i.e. : ```julia ff(x) = x + y @register_symbolic ff(x) ``` Closest candidates are: (::Type{T})(::Real, ::RoundingMode) where T<:AbstractFloat @ Base rounding.jl:207 (::Type{T})(::T) where T<:Number @ Core boot.jl:790 Float64(::IrrationalConstants.Sqrt2π) @ IrrationalConstants ~/.julia/packages/IrrationalConstants/vp5v4/src/macro.jl:112 ... Stacktrace: [1] convert(::Type{Float64}, x::Num) @ Base ./number.jl:7 [2] setindex!(A::Vector{Float64}, x::Num, i1::Int64) @ Base ./array.jl:1019 [3] macro expansion @ RuntimeGeneratedFunctions ~/.julia/packages/SymbolicUtils/ssQsQ/src/code.jl:418 [inlined] [4] macro expansion @ RuntimeGeneratedFunctions ~/.julia/packages/Symbolics/iuV1k/src/build_function.jl:537 [inlined] [5] macro expansion @ RuntimeGeneratedFunctions ~/.julia/packages/SymbolicUtils/ssQsQ/src/code.jl:375 [inlined] [6] macro expansion @ RuntimeGeneratedFunctions ~/.julia/packages/RuntimeGeneratedFunctions/Yo8zx/src/RuntimeGeneratedFunctions.jl:163 [inlined] [7] macro expansion @ RuntimeGeneratedFunctions ./none:0 [inlined] [8] generated_callfunc @ RuntimeGeneratedFunctions ./none:0 [inlined] [9] (::RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋out, :ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x2e3aac43, 0x10974b89, 0xe8b09d5e, 0xdc2870ad, 0xdb6f4094), Nothing})(::Vector{Float64}, ::Vector{Float64}, ::Vector{Float64}, ::Float64) @ RuntimeGeneratedFunctions ~/.julia/packages/RuntimeGeneratedFunctions/Yo8zx/src/RuntimeGeneratedFunctions.jl:150 [10] k @ ModelingToolkit ~/.julia/packages/ModelingToolkit/N1HdY/src/systems/diffeqs/abstractodesystem.jl:371 [inlined] [11] Void @ SciMLBase ~/.julia/dev/SciMLBase/src/utils.jl:475 [inlined] [12] (::FunctionWrappers.CallWrapper{Nothing})(f::SciMLBase.Void{ModelingToolkit.var"#k#545"{RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0xc8306229, 0x6d8f5b56, 0xb3591472, 0x831db891, 0xf82bf59d), Nothing}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋out, :ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x2e3aac43, 0x10974b89, 0xe8b09d5e, 0xdc2870ad, 0xdb6f4094), Nothing}}}, arg1::Vector{Float64}, arg2::Vector{Float64}, arg3::Vector{Float64}, arg4::Float64) @ FunctionWrappers ~/.julia/packages/FunctionWrappers/Q5cBx/src/FunctionWrappers.jl:65 [13] macro expansion @ OrdinaryDiffEq ~/.julia/packages/FunctionWrappers/Q5cBx/src/FunctionWrappers.jl:137 [inlined] [14] do_ccall @ OrdinaryDiffEq ~/.julia/packages/FunctionWrappers/Q5cBx/src/FunctionWrappers.jl:125 [inlined] [15] FunctionWrapper @ OrdinaryDiffEq ~/.julia/packages/FunctionWrappers/Q5cBx/src/FunctionWrappers.jl:144 [inlined] [16] _call @ OrdinaryDiffEq ~/.julia/packages/FunctionWrappersWrappers/9XR0m/src/FunctionWrappersWrappers.jl:12 [inlined] [17] FunctionWrappersWrapper @ OrdinaryDiffEq ~/.julia/packages/FunctionWrappersWrappers/9XR0m/src/FunctionWrappersWrappers.jl:10 [inlined] [18] ODEFunction @ OrdinaryDiffEq ~/.julia/dev/SciMLBase/src/scimlfunctions.jl:2394 [inlined] [19] initialize!(integrator::OrdinaryDiffEq.ODEIntegrator{Tsit5{typeof(OrdinaryDiffEq.trivial_limiter!), typeof(OrdinaryDiffEq.trivial_limiter!), Static.False}, true, Vector{Float64}, Nothing, Float64, Vector{Float64}, Float64, Float64, Float64, Float64, Vector{Vector{Float64}}, ODESolution{Float64, 2, Vector{Vector{Float64}}, Nothing, Nothing, Vector{Float64}, Vector{Vector{Vector{Float64}}}, ODEProblem{Vector{Float64}, Tuple{Float64, Float64}, true, Vector{Float64}, ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, Vector{Float64}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Vector{Symbol}, Symbol, Vector{Any}, ModelingToolkit.var"#649#generated_observed#555"{Bool, ODESystem, Dict{Any, Any}, Vector{Any}}, Nothing, ODESystem}, @kwargs{}, SciMLBase.StandardODEProblem}, Tsit5{typeof(OrdinaryDiffEq.trivial_limiter!), typeof(OrdinaryDiffEq.trivial_limiter!), Static.False}, OrdinaryDiffEq.InterpolationData{ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, Vector{Float64}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Vector{Symbol}, Symbol, Vector{Any}, ModelingToolkit.var"#649#generated_observed#555"{Bool, ODESystem, Dict{Any, Any}, Vector{Any}}, Nothing, ODESystem}, Vector{Vector{Float64}}, Vector{Float64}, Vector{Vector{Vector{Float64}}}, OrdinaryDiffEq.Tsit5Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEq.trivial_limiter!), typeof(OrdinaryDiffEq.trivial_limiter!), Static.False}}, DiffEqBase.Stats, Nothing}, ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, Vector{Float64}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Vector{Symbol}, Symbol, Vector{Any}, ModelingToolkit.var"#649#generated_observed#555"{Bool, ODESystem, Dict{Any, Any}, Vector{Any}}, Nothing, ODESystem}, OrdinaryDiffEq.Tsit5Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEq.trivial_limiter!), typeof(OrdinaryDiffEq.trivial_limiter!), Static.False}, OrdinaryDiffEq.DEOptions{Float64, Float64, Float64, Float64, PIController{Rational{Int64}}, typeof(DiffEqBase.ODE_DEFAULT_NORM), typeof(LinearAlgebra.opnorm), Nothing, CallbackSet{Tuple{}, Tuple{}}, typeof(DiffEqBase.ODE_DEFAULT_ISOUTOFDOMAIN), typeof(DiffEqBase.ODE_DEFAULT_PROG_MESSAGE), typeof(DiffEqBase.ODE_DEFAULT_UNSTABLE_CHECK), DataStructures.BinaryHeap{Float64, DataStructures.FasterForward}, DataStructures.BinaryHeap{Float64, DataStructures.FasterForward}, Nothing, Nothing, Int64, Tuple{}, Tuple{}, Tuple{}}, Vector{Float64}, Float64, Nothing, OrdinaryDiffEq.DefaultInit}, cache::OrdinaryDiffEq.Tsit5Cache{Vector{Float64}, Vector{Float64}, Vector{Float64}, typeof(OrdinaryDiffEq.trivial_limiter!), typeof(OrdinaryDiffEq.trivial_limiter!), Static.False}) @ OrdinaryDiffEq ~/.julia/dev/OrdinaryDiffEq/src/perform_step/low_order_rk_perform_step.jl:792 [20] __init(prob::ODEProblem{Vector{Float64}, Tuple{Float64, Float64}, true, Vector{Float64}, ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, Vector{Float64}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, Vector{Float64}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Vector{Symbol}, Symbol, Vector{Any}, ModelingToolkit.var"#649#generated_observed#555"{Bool, ODESystem, Dict{Any, Any}, Vector{Any}}, Nothing, ODESystem}, @kwargs{}, SciMLBase.StandardODEProblem}, alg::Tsit5{typeof(OrdinaryDiffEq.trivial_limiter!), typeof(OrdinaryDiffEq.trivial_limiter!), Static.False}, timeseries_init::Tuple{}, ts_init::Tuple{}, ks_init::Tuple{}, recompile::Type{Val{true}}; saveat::Tuple{}, tstops::Tuple{}, d_discontinuities::Tuple{}, save_idxs::Nothing, save_everystep::Bool, save_on::Bool, save_start::Bool, save_end::Nothing, callback::Nothing, dense::Bool, calck::Bool, dt::Float64, dtmin::Nothing, dtmax::Float64, force_dtmin::Bool, adaptive::Bool, gamma::Rational{Int64}, abstol::Nothing, reltol::Nothing, qmin::Rational{Int64}, qmax::Int64, qsteady_min::Int64, qsteady_max::Int64, beta1::Nothing, beta2::Nothing, qoldinit::Rational{Int64}, controller::Nothing, fullnormalize::Bool, failfactor::Int64, maxiters::Int64, internalnorm::typeof(DiffEqBase.ODE_DEFAULT_NORM), internalopnorm::typeof(LinearAlgebra.opnorm), isoutofdomain::typeof(DiffEqBase.ODE_DEFAULT_ISOUTOFDOMAIN), unstable_check::typeof(DiffEqBase.ODE_DEFAULT_UNSTABLE_CHECK), verbose::Bool, timeseries_errors::Bool, dense_errors::Bool, advance_to_tstop::Bool, stop_at_next_tstop::Bool, initialize_save::Bool, progress::Bool, progress_steps::Int64, progress_name::String, progress_message::typeof(DiffEqBase.ODE_DEFAULT_PROG_MESSAGE), progress_id::Symbol, userdata::Nothing, allow_extrapolation::Bool, initialize_integrator::Bool, alias_u0::Bool, alias_du0::Bool, initializealg::OrdinaryDiffEq.DefaultInit, kwargs::@kwargs{}) @ OrdinaryDiffEq ~/.julia/dev/OrdinaryDiffEq/src/solve.jl:502 [21] __init (repeats 5 times) @ DiffEqBase ~/.julia/dev/OrdinaryDiffEq/src/solve.jl:10 [inlined] [22] #__solve#740 @ DiffEqBase ~/.julia/dev/OrdinaryDiffEq/src/solve.jl:5 [inlined] [23] __solve @ DiffEqBase ~/.julia/dev/OrdinaryDiffEq/src/solve.jl:1 [inlined] [24] #solve_call#34 @ DiffEqBase ~/.julia/dev/DiffEqBase/src/solve.jl:571 [inlined] [25] solve_call @ DiffEqBase ~/.julia/dev/DiffEqBase/src/solve.jl:537 [inlined] [26] solve_up(prob::ODEProblem{Vector{Float64}, Tuple{Float64, Float64}, true, Vector{Float64}, ODEFunction{true, SciMLBase.AutoSpecialize, ModelingToolkit.var"#k#545"{RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0xc8306229, 0x6d8f5b56, 0xb3591472, 0x831db891, 0xf82bf59d), Nothing}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋out, :ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x2e3aac43, 0x10974b89, 0xe8b09d5e, 0xdc2870ad, 0xdb6f4094), Nothing}}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Vector{Symbol}, Symbol, Vector{Any}, ModelingToolkit.var"#649#generated_observed#555"{Bool, ODESystem, Dict{Any, Any}, Vector{Any}}, Nothing, ODESystem}, @kwargs{}, SciMLBase.StandardODEProblem}, sensealg::Nothing, u0::Vector{Float64}, p::Vector{Float64}, args::Tsit5{typeof(OrdinaryDiffEq.trivial_limiter!), typeof(OrdinaryDiffEq.trivial_limiter!), Static.False}; kwargs::@kwargs{}) @ DiffEqBase ~/.julia/dev/DiffEqBase/src/solve.jl:1033 [27] solve_up @ DiffEqBase ~/.julia/dev/DiffEqBase/src/solve.jl:1006 [inlined] [28] #solve#40 @ DiffEqBase ~/.julia/dev/DiffEqBase/src/solve.jl:943 [inlined] [29] solve(prob::ODEProblem{Vector{Float64}, Tuple{Float64, Float64}, true, Vector{Float64}, ODEFunction{true, SciMLBase.AutoSpecialize, ModelingToolkit.var"#k#545"{RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0xc8306229, 0x6d8f5b56, 0xb3591472, 0x831db891, 0xf82bf59d), Nothing}, RuntimeGeneratedFunctions.RuntimeGeneratedFunction{(:ˍ₋out, :ˍ₋arg1, :ˍ₋arg2, :t), ModelingToolkit.var"#_RGF_ModTag", ModelingToolkit.var"#_RGF_ModTag", (0x2e3aac43, 0x10974b89, 0xe8b09d5e, 0xdc2870ad, 0xdb6f4094), Nothing}}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Vector{Symbol}, Symbol, Vector{Any}, ModelingToolkit.var"#649#generated_observed#555"{Bool, ODESystem, Dict{Any, Any}, Vector{Any}}, Nothing, ODESystem}, @kwargs{}, SciMLBase.StandardODEProblem}, args::Tsit5{typeof(OrdinaryDiffEq.trivial_limiter!), typeof(OrdinaryDiffEq.trivial_limiter!), Static.False}) @ DiffEqBase ~/.julia/dev/DiffEqBase/src/solve.jl:933 [30] top-level scope @ REPL[11]:1 ```
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