From 1c51b464bfeb3f1dbf333cf8882d5eca4409896a Mon Sep 17 00:00:00 2001
From: jishnub <jishnub@users.noreply.github.com>
Date: Fri, 30 Apr 2021 17:18:54 +0400
Subject: [PATCH 1/3] implement complex(::Type{<:Dual})

---
 src/dual.jl      | 1 +
 test/runtests.jl | 6 ++++++
 2 files changed, 7 insertions(+)

diff --git a/src/dual.jl b/src/dual.jl
index 0812821..b4badf4 100644
--- a/src/dual.jl
+++ b/src/dual.jl
@@ -179,6 +179,7 @@ Base.hash(z::Dual) = (x = hash(value(z)); epsilon(z)==0 ? x : bitmix(x,hash(epsi
 
 Base.float(z::Union{Dual{T}, Dual{Complex{T}}}) where {T<:AbstractFloat} = z
 Base.complex(z::Dual{<:Complex}) = z
+Base.complex(::Type{Dual{R}}) where {R} = Dual{Complex{R}}
 
 Base.floor(z::Dual) = floor(value(z))
 Base.ceil(z::Dual)  = ceil(value(z))
diff --git a/test/runtests.jl b/test/runtests.jl
index 9ff3071..274d906 100644
--- a/test/runtests.jl
+++ b/test/runtests.jl
@@ -9,3 +9,9 @@ using Test
 module TestAutomaticDifferentiation
 include("automatic_differentiation_test.jl")
 end
+
+@testset "complex" begin
+    for D in [Dual32, Dual64, Dual128]
+        @test typeof(complex(zero(D))) == complex(D)
+    end
+end

From 2b18535e796dbc2f49b9ef5e843f83867e68b999 Mon Sep 17 00:00:00 2001
From: jishnub <jishnub@users.noreply.github.com>
Date: Fri, 30 Apr 2021 17:33:50 +0400
Subject: [PATCH 2/3] use complex function to construct type

---
 src/dual.jl      | 2 +-
 test/runtests.jl | 3 ++-
 2 files changed, 3 insertions(+), 2 deletions(-)

diff --git a/src/dual.jl b/src/dual.jl
index b4badf4..c9ba3ad 100644
--- a/src/dual.jl
+++ b/src/dual.jl
@@ -179,7 +179,7 @@ Base.hash(z::Dual) = (x = hash(value(z)); epsilon(z)==0 ? x : bitmix(x,hash(epsi
 
 Base.float(z::Union{Dual{T}, Dual{Complex{T}}}) where {T<:AbstractFloat} = z
 Base.complex(z::Dual{<:Complex}) = z
-Base.complex(::Type{Dual{R}}) where {R} = Dual{Complex{R}}
+Base.complex(::Type{Dual{R}}) where {R} = Dual{complex(R)}
 
 Base.floor(z::Dual) = floor(value(z))
 Base.ceil(z::Dual)  = ceil(value(z))
diff --git a/test/runtests.jl b/test/runtests.jl
index 274d906..e782bf2 100644
--- a/test/runtests.jl
+++ b/test/runtests.jl
@@ -11,7 +11,8 @@ include("automatic_differentiation_test.jl")
 end
 
 @testset "complex" begin
-    for D in [Dual32, Dual64, Dual128]
+    for T in [Float16, Float32, Float64, BigFloat, Int8, Int16, Int32, Int64, Int128, BigInt, Bool]
+        D = Dual{T}
         @test typeof(complex(zero(D))) == complex(D)
     end
 end

From 3a3c45fdf64d34fd2745245748e0c952bb9904b0 Mon Sep 17 00:00:00 2001
From: jishnub <jishnub@users.noreply.github.com>
Date: Fri, 30 Apr 2021 17:35:55 +0400
Subject: [PATCH 3/3] add tests for complex types

---
 test/runtests.jl | 2 ++
 1 file changed, 2 insertions(+)

diff --git a/test/runtests.jl b/test/runtests.jl
index e782bf2..940337a 100644
--- a/test/runtests.jl
+++ b/test/runtests.jl
@@ -14,5 +14,7 @@ end
     for T in [Float16, Float32, Float64, BigFloat, Int8, Int16, Int32, Int64, Int128, BigInt, Bool]
         D = Dual{T}
         @test typeof(complex(zero(D))) == complex(D)
+        D = Dual{Complex{T}}
+        @test typeof(complex(zero(D))) == complex(D)
     end
 end