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modified: Project.toml DiffEqBase, RecursiveArrayTools, Unitfu only modified: README.md Short explanation modified: src/MechGlueDiffEqBase.jl Drop experiments, norm only. deleted: test/Manifest.toml deleted: test/Project.toml modified: test/runtests.jl Include 1..3 new file: test/test_1.jl First version new file: test/test_2.jl First version new file: test/test_3.jl First version
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/Manifest.toml | ||
/.vscode |
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name = "MechGlueDiffEqBase" | ||
uuid = "2532746b-52b5-4539-9431-8bb183ab067f" | ||
authors = ["hustf <[email protected]> and contributors"] | ||
version = "0.1.31" | ||
version = "0.1.32" | ||
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[deps] | ||
DiffEqBase = "2b5f629d-d688-5b77-993f-72d75c75574e" | ||
MechGluePlots = "03a24088-0a82-4850-846f-2cad5d056ae1" | ||
MechanicalUnits = "e6be9192-89dc-11e9-36e6-5dbcb28f419e" | ||
RecipesBase = "3cdcf5f2-1ef4-517c-9805-6587b60abb01" | ||
SciMLBase = "0bca4576-84f4-4d90-8ffe-ffa030f20462" | ||
RecursiveArrayTools = "731186ca-8d62-57ce-b412-fbd966d074cd" | ||
Unitfu = "5ee08b94-2369-4f4a-b8c7-99333ba35fb0" | ||
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[compat] | ||
julia = "1" | ||
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[extras] | ||
Test = "8dfed614-e22c-5e08-85e1-65c5234f0b40" | ||
MechanicalUnits = "e6be9192-89dc-11e9-36e6-5dbcb28f419e" | ||
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[targets] | ||
test = ["Test"] |
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# MechGlueDiffEqBase | ||
Glue code for making [DiffEqBase](https://github.com/SciML/DiffEqBase.jl) work with units. | ||
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It also includes glue code for [RecursiveArrayTools](https://github.com/SciML/RecursiveArrayTools.jl), which enables type-stable solution of equations with mixed units. | ||
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This defines how to calculate the vector norm when the vector is given in units compatible with [Unitfu.jl](https://github.com/hustf/Unitfu.jl), from registy [M8](https://github.com/hustf/M8). The differential equation algorithms expects the norm to be unitless, as can be seen in e.g. step size estimators: | ||
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err_scaled = **error** / (**abstol** + norm(u) * **reltol**) | ||
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where **bold** indicates unitful objects. | ||
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The functions are adaptions of corresponding code from [DiffEqBase](https://github.com/SciML/DiffEqBase.jl/blob/6bb8830711e729ef513f2b1beb95853e4a691375/src/init.jl). | ||
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module MechGlueDiffEqBase | ||
import Unitfu: AbstractQuantity, Quantity, ustrip | ||
import DiffEqBase: value, ODE_DEFAULT_NORM, UNITLESS_ABS2 | ||
import Unitfu: AbstractQuantity, Quantity, ustrip, norm | ||
import DiffEqBase: value, ODE_DEFAULT_NORM, UNITLESS_ABS2, zero | ||
import DiffEqBase: calculate_residuals, @muladd | ||
using RecursiveArrayTools | ||
export value, ODE_DEFAULT_NORM, UNITLESS_ABS2, Unitfu, AbstractQuantity, Quantity | ||
export norm, ArrayPartition | ||
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import RecipesBase | ||
import RecipesBase.@recipe | ||
import SciMLBase | ||
import SciMLBase: AbstractTimeseriesSolution, RecipesBase | ||
import SciMLBase: AbstractDiscreteProblem, AbstractRODESolution, SensitivityInterpolation | ||
import SciMLBase: getsyms, interpret_vars, cleansyms | ||
import SciMLBase: diffeq_to_arrays, issymbollike, getindepsym_defaultt | ||
import SciMLBase: DEFAULT_PLOT_FUNC | ||
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# This is identical to what DiffEqBase defines for Unitful | ||
function value(x::Type{AbstractQuantity{T,D,U}}) where {T,D,U} | ||
T | ||
end | ||
function value(x::AbstractQuantity) | ||
x.val | ||
end | ||
# This is different from what DiffEqBase defines for Unitful | ||
value(::Type{<:AbstractQuantity{T,D,U}}) where {T,D,U<:Core.TypeofBottom} = Base.undef_ref_str | ||
value(x::Q) where {Q<:AbstractQuantity} = ustrip(x) | ||
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# This is identical to what DiffEqBase defines for Unitful | ||
@inline function ODE_DEFAULT_NORM(u::AbstractArray{<:AbstractQuantity,N},t) where {N} | ||
# Support adaptive errors should be errorless for exponentiation | ||
sqrt(sum(x->ODE_DEFAULT_NORM(x[1],x[2]),zip((value(x) for x in u),Iterators.repeated(t))) / length(u)) | ||
end | ||
# This is identical to what DiffEqBase defines for Unitful | ||
@inline function ODE_DEFAULT_NORM(u::Array{<:AbstractQuantity,N},t) where {N} | ||
sqrt(sum(x->ODE_DEFAULT_NORM(x[1],x[2]),zip((value(x) for x in u),Iterators.repeated(t))) / length(u)) | ||
end | ||
@inline function ODE_DEFAULT_NORM(u::AbstractQuantity,t) | ||
abs(value(u)) | ||
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# This is identical to what DiffEqBase defines for Unitful | ||
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@inline function ODE_DEFAULT_NORM(u::AbstractQuantity, t) | ||
abs(ustrip(u)) | ||
end | ||
# This is slightly different from what DiffEqBase defines for Unitful | ||
@inline function UNITLESS_ABS2(x::AbstractQuantity) | ||
real(abs2(x)/oneunit(x)*oneunit(x)) | ||
real(abs2(x) / (oneunit(x)^2)) | ||
end | ||
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# This recipe is copied from SciMLBase, and only the signature is adopted | ||
# for use with unitful solutions. It can perhaps be deleted now, and the link to RecipesBase be deleted. | ||
@recipe function f(sol::AbstractTimeseriesSolution{T, N, A}; | ||
plot_analytic=false, | ||
denseplot = (sol.dense || | ||
typeof(sol.prob) <: AbstractDiscreteProblem) && | ||
!(typeof(sol) <: AbstractRODESolution) && | ||
!(hasfield(typeof(sol),:interp) && | ||
typeof(sol.interp) <: SensitivityInterpolation), | ||
plotdensity = min(Int(1e5),sol.tslocation==0 ? | ||
(typeof(sol.prob) <: AbstractDiscreteProblem ? | ||
max(1000,100*length(sol)) : | ||
max(1000,10*length(sol))) : | ||
1000*sol.tslocation), | ||
tspan = nothing, axis_safety = 0.1, | ||
vars=nothing) where {T<:Quantity, N, A<:Array{<:Quantity}} | ||
syms = getsyms(sol) | ||
int_vars = interpret_vars(vars,sol,syms) | ||
strs = cleansyms(syms) | ||
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tscale = get(plotattributes, :xscale, :identity) | ||
plot_vecs,labels = diffeq_to_arrays(sol,plot_analytic,denseplot, | ||
plotdensity,tspan,axis_safety, | ||
vars,int_vars,tscale,strs) | ||
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tdir = sign(sol.t[end]-sol.t[1]) | ||
xflip --> tdir < 0 | ||
seriestype --> :path | ||
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# Special case labels when vars = (:x,:y,:z) or (:x) or [:x,:y] ... | ||
if typeof(vars) <: Tuple && (issymbollike(vars[1]) && issymbollike(vars[2])) | ||
xguide --> issymbollike(int_vars[1][2]) ? Symbol(int_vars[1][2]) : strs[int_vars[1][2]] | ||
yguide --> issymbollike(int_vars[1][3]) ? Symbol(int_vars[1][3]) : strs[int_vars[1][3]] | ||
if length(vars) > 2 | ||
zguide --> issymbollike(int_vars[1][4]) ? Symbol(int_vars[1][4]) : strs[int_vars[1][4]] | ||
end | ||
end | ||
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if (!any(issymbollike,getindex.(int_vars,1)) && getindex.(int_vars,1) == zeros(length(int_vars))) || | ||
(!any(issymbollike,getindex.(int_vars,2)) && getindex.(int_vars,2) == zeros(length(int_vars))) || | ||
all(t->Symbol(t)==getindepsym_defaultt(sol),getindex.(int_vars,1)) || all(t->Symbol(t)==getindepsym_defaultt(sol),getindex.(int_vars,2)) | ||
xguide --> "$(getindepsym_defaultt(sol))" | ||
end | ||
if length(int_vars[1]) >= 3 && ((!any(issymbollike,getindex.(int_vars,3)) && getindex.(int_vars,3) == zeros(length(int_vars))) || | ||
all(t->Symbol(t)==getindepsym_defaultt(sol),getindex.(int_vars,3))) | ||
yguide --> "$(getindepsym_defaultt(sol))" | ||
end | ||
if length(int_vars[1]) >= 4 && ((!any(issymbollike,getindex.(int_vars,4)) && getindex.(int_vars,4) == zeros(length(int_vars))) || | ||
all(t->Symbol(t)==getindepsym_defaultt(sol),getindex.(int_vars,4))) | ||
zguide --> "$(getindepsym_defaultt(sol))" | ||
end | ||
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if (!any(issymbollike,getindex.(int_vars,2)) && getindex.(int_vars,2) == zeros(length(int_vars))) || | ||
all(t->Symbol(t)==getindepsym_defaultt(sol),getindex.(int_vars,2)) | ||
if tspan === nothing | ||
if tdir > 0 | ||
xlims --> (sol.t[1],sol.t[end]) | ||
else | ||
xlims --> (sol.t[end],sol.t[1]) | ||
end | ||
else | ||
xlims --> (tspan[1],tspan[end]) | ||
end | ||
else | ||
mins = minimum(sol[int_vars[1][2],:]) | ||
maxs = maximum(sol[int_vars[1][2],:]) | ||
for iv in int_vars | ||
mins = min(mins,minimum(sol[iv[2],:])) | ||
maxs = max(maxs,maximum(sol[iv[2],:])) | ||
end | ||
xlims --> ((1-sign(mins)*axis_safety)*mins,(1+sign(maxs)*axis_safety)*maxs) | ||
end | ||
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# Analytical solutions do not save enough information to have a good idea | ||
# of the axis ahead of time | ||
# Only set axis for animations | ||
if sol.tslocation != 0 && !(typeof(sol) <: AbstractAnalyticalSolution) | ||
if all(getindex.(int_vars,1) .== DEFAULT_PLOT_FUNC) | ||
mins = minimum(sol[int_vars[1][3],:]) | ||
maxs = maximum(sol[int_vars[1][3],:]) | ||
for iv in int_vars | ||
mins = min(mins,minimum(sol[iv[3],:])) | ||
maxs = max(maxs,maximum(sol[iv[3],:])) | ||
end | ||
ylims --> ((1-sign(mins)*axis_safety)*mins,(1+sign(maxs)*axis_safety)*maxs) | ||
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if length(int_vars[1]) >= 4 | ||
mins = minimum(sol[int_vars[1][4],:]) | ||
maxs = maximum(sol[int_vars[1][4],:]) | ||
for iv in int_vars | ||
mins = min(mins,minimum(sol[iv[4],:])) | ||
maxs = max(mins,maximum(sol[iv[4],:])) | ||
end | ||
zlims --> ((1-sign(mins)*axis_safety)*mins,(1+sign(maxs)*axis_safety)*maxs) | ||
end | ||
end | ||
end | ||
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label --> reshape(labels,1,length(labels)) | ||
println("----------------------------------MechGlueDiffEqBase") | ||
(plot_vecs...,) | ||
end | ||
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end |
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