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Merge pull request #691 from JuliaReach/schillic/exp
Fix Pade approximation and test _exp
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Original file line number | Diff line number | Diff line change |
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eval(load_expokit_pade()) |
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using SparseArrays | ||
using ReachabilityAnalysis: _exp | ||
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@testset "Exponentiation" begin | ||
A = [10.0 0; 0 20] | ||
δ = 0.1 | ||
expAδ = [exp(1) 0; 0 exp(2)] | ||
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# default algorithm | ||
@test _exp(A, δ) == expAδ | ||
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# base algorithm | ||
@test _exp(A, δ, RA.BaseExpAlg()) == expAδ | ||
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# Krylov algorithm | ||
@test _exp(sparse(A), δ, RA.LazyExpAlg()) == expAδ | ||
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# interval matrix | ||
@test all((_exp(A, δ, RA.IntervalExpAlg()) .- IntervalMatrix(expAδ)) .<= 1e-4) | ||
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# Padé approximation | ||
@test_throws ArgumentError _exp(A, δ, RA.PadeExpAlg()) | ||
@test _exp(sparse(A), δ, RA.PadeExpAlg()) ≈ expAδ | ||
end |
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