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added Logarithmic integral function #500

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added Logarithmic integral function #500

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bb9eeb7
added Logarithmic integral function
Bumblebee00 Jul 17, 2025
5788382
added tests for Logarithmic integral function
Bumblebee00 Jul 18, 2025
ff07c10
minor fixes
Bumblebee00 Jul 19, 2025
bd3fe6e
review suggestions
Bumblebee00 Jul 22, 2025
c3406d3
Update src/expint.jl with review suggestions
Bumblebee00 Aug 28, 2025
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2 changes: 1 addition & 1 deletion src/expint.jl
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Original file line number Diff line number Diff line change
Expand Up @@ -630,7 +630,7 @@ function li(x::Real)
if x < 0
throw(DomainError(x, "negative argument, convert to complex first"))
elseif x == 0
return 0
return zero(typeof(x))
else
return expinti(log(x))
end
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11 changes: 7 additions & 4 deletions test/expint.jl
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Expand Up @@ -247,8 +247,11 @@ expinti_real(x) = invoke(expinti, Tuple{Real}, x)
end

@testset "Logarithmic integral function" begin
@test li(0.0) == 0
@test li(1.0) == -Inf
@test li(Inf) === Inf
@test li(2) ≈ 1.0451637801174927
@test @inferred(li(0.0)) === 0.0 # float 64
@test @inferred(li(0.0f0)) === 0.0f0 # float 32
@test @inferred(li(Float16(0))) === Float16(0) # float 16

@test @inferred(li(1.0)) === -Inf
@test @inferred(li(Inf)) === Inf
@test @inferred(li(2)) ≈ 1.0451637801174927 # this errors idk why
end
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