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add diff tests #62

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2 changes: 2 additions & 0 deletions test/test_continuouspolynomial.jl
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Original file line number Diff line number Diff line change
Expand Up @@ -222,5 +222,7 @@ using ContinuumArrays: plan_grid_transform

f = expand(C,exp)
@test diff(diff(f))[0.1] ≈ exp(0.1)

@test diff(C)[0.1,1:5] ≈ [0,-1.5,1.5,0,0]
end
end
10 changes: 10 additions & 0 deletions test/test_dirichlet.jl
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Expand Up @@ -79,4 +79,14 @@ using PiecewiseOrthogonalPolynomials: ArrowheadMatrix, plan_grid_transform
@test sprint(show, C) == "ContinuousPolynomial{1}(-1:1)"
@test sprint(show, P) == "ContinuousPolynomial{0}(-1:1)"
end

@testset "diff" begin
Q = DirichletPolynomial(range(-1,1; length=4))
@test diff(Q)[0.1,1:5] ≈ [-1,0,1.6,0,-0.92]
u = expand(Q, x -> (1-x^2)*exp(x))
let x = 0.1
@test diff(u)[x] ≈ (1-2x-x^2)*exp(x)
@test diff(diff(u))[x] ≈ (-1-4x-x^2)*exp(x)
end
end
end