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Merge pull request #1107 from mattsignorelli/addgtpsa
Add GTPSA extension
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module DiffEqBaseGTPSAExt | ||
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if isdefined(Base, :get_extension) | ||
using DiffEqBase | ||
import DiffEqBase: value | ||
using GTPSA | ||
else | ||
using ..DiffEqBase | ||
import ..DiffEqBase: value | ||
using ..GTPSA | ||
end | ||
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value(x::TPS) = scalar(x); | ||
value(::Type{TPS{T}}) where {T} = T | ||
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end |
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using OrdinaryDiffEq, ForwardDiff, GTPSA, Test | ||
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f!(du, u, p, t) = du .= p .* u | ||
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# Initial variables and parameters | ||
x = [1.0, 2.0, 3.0] | ||
p = [4.0, 5.0, 6.0] | ||
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prob = ODEProblem(f!, x, (0.0, 1.0), p) | ||
sol = solve(prob, Tsit5(), reltol=1e-16, abstol=1e-16) | ||
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# Parametric GTPSA map | ||
desc = Descriptor(3, 2, 3, 2) # 3 variables 3 parameters, both to 2nd order | ||
dx = vars(desc) | ||
dp = params(desc) | ||
prob_GTPSA = ODEProblem(f!, x .+ dx, (0.0, 1.0), p .+ dp) | ||
sol_GTPSA = solve(prob_GTPSA, Tsit5(), reltol=1e-16, abstol=1e-16) | ||
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@test sol.u[end] ≈ scalar.(sol_GTPSA.u[end]) # scalar gets 0th order part | ||
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# Compare Jacobian against ForwardDiff | ||
J_FD = ForwardDiff.jacobian([x..., p...]) do t | ||
prob = ODEProblem(f!, t[1:3], (0.0, 1.0), t[4:6]) | ||
sol = solve(prob, Tsit5(), reltol=1e-16, abstol=1e-16) | ||
sol.u[end] | ||
end | ||
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@test J_FD ≈ GTPSA.jacobian(sol_GTPSA.u[end], include_params=true) | ||
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# Compare Hessians against ForwardDiff | ||
for i in 1:3 | ||
Hi_FD = ForwardDiff.hessian([x..., p...]) do t | ||
prob = ODEProblem(f!, t[1:3], (0.0, 1.0), t[4:6]) | ||
sol = solve(prob, Tsit5(), reltol=1e-16, abstol=1e-16) | ||
sol.u[end][i] | ||
end | ||
@test Hi_FD ≈ GTPSA.hessian(sol_GTPSA.u[end][i], include_params=true) | ||
end | ||
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