Turn DualNumbers into an extension (#662)

Author: jishnub

Project.toml

@@ -11,7 +11,6 @@ Calculus = "49dc2e85-a5d0-5ad3-a950-438e2897f1b9"
 Combinatorics = "861a8166-3701-5b0c-9a16-15d98fcdc6aa"
 DSP = "717857b8-e6f2-59f4-9121-6e50c889abd2"
 DomainSets = "5b8099bc-c8ec-5219-889f-1d9e522a28bf"
-DualNumbers = "fa6b7ba4-c1ee-5f82-b5fc-ecf0adba8f74"
 FFTW = "7a1cc6ca-52ef-59f5-83cd-3a7055c09341"
 FillArrays = "1a297f60-69ca-5386-bcde-b61e274b549b"
 InfiniteArrays = "4858937d-0d70-526a-a4dd-2d5cb5dd786c"
@@ -26,9 +25,11 @@ Statistics = "10745b16-79ce-11e8-11f9-7d13ad32a3b2"
 
 [weakdeps]
 Test = "8dfed614-e22c-5e08-85e1-65c5234f0b40"
+DualNumbers = "fa6b7ba4-c1ee-5f82-b5fc-ecf0adba8f74"
 
 [extensions]
 ApproxFunBaseTestExt = "Test"
+ApproxFunBaseDualNumbersExt = "DualNumbers"
 
 [compat]
 AbstractFFTs = "0.5, 1"
@@ -59,9 +60,10 @@ julia = "1.10"
 
 [extras]
 Aqua = "4c88cf16-eb10-579e-8560-4a9242c79595"
+DualNumbers = "fa6b7ba4-c1ee-5f82-b5fc-ecf0adba8f74"
 Infinities = "e1ba4f0e-776d-440f-acd9-e1d2e9742647"
 Random = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c"
 Test = "8dfed614-e22c-5e08-85e1-65c5234f0b40"
 
 [targets]
-test = ["Aqua", "Random", "Infinities", "Test"]
+test = ["Aqua", "DualNumbers", "Random", "Infinities", "Test"]

ext/ApproxFunBaseDualNumbersExt.jl

@@ -0,0 +1,9 @@
+module ApproxFunBaseDualNumbersExt
+
+using DualNumbers: Dual
+import ApproxFunBase: eps
+
+eps(::Type{Dual{Complex{T}}}) where {T<:Real} = eps(real(T))
+eps(z::Dual{Complex{T}}) where {T<:Real} = eps(abs(z))
+
+end

src/ApproxFunBase.jl

@@ -8,7 +8,6 @@ import Calculus
 import Combinatorics: multiexponents
 using DSP
 using DomainSets
-using DualNumbers
 using FFTW
 using FillArrays
 using InfiniteArrays

src/LinearAlgebra/helper.jl

@@ -74,8 +74,6 @@ eps(::T) where T<:Integer = eps(T)
 
 eps(::Type{Complex{T}}) where {T<:Real} = eps(real(T))
 eps(z::Complex{T}) where {T<:Real} = eps(abs(z))
-eps(::Type{Dual{Complex{T}}}) where {T<:Real} = eps(real(T))
-eps(z::Dual{Complex{T}}) where {T<:Real} = eps(abs(z))
 
 
 eps(::Type{Vector{T}}) where {T<:Number} = eps(T)