From 2320ac1ceda35f148b0f7963c83413e98838f5a5 Mon Sep 17 00:00:00 2001
From: Andrew Gibbs <32740541+AndrewGibbs@users.noreply.github.com>
Date: Wed, 18 Mar 2026 21:13:16 +0000
Subject: [PATCH 1/4] Change pointseven from rational to float representation

---
 src/LambertW.jl | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/src/LambertW.jl b/src/LambertW.jl
index 43c7bf6..4af2dcd 100644
--- a/src/LambertW.jl
+++ b/src/LambertW.jl
@@ -133,7 +133,7 @@ end
 # choose initial value inside correct branch for root finding
 function _lambertw(z::Complex{T}, k::Integer, maxits::Integer) where T<:Real
     one_t = one(T)
-    pointseven = 7//10
+    pointseven = 0.7
     if abs(z) <= one_t/convert(T, MathConstants.e)
         if z == 0
             k == 0 && return _no_loop(z)

From 502e5c3db6a39128535199c7810f3915b0638858 Mon Sep 17 00:00:00 2001
From: Andrew Gibbs <32740541+AndrewGibbs@users.noreply.github.com>
Date: Wed, 18 Mar 2026 21:16:52 +0000
Subject: [PATCH 2/4] Add workflow_dispatch trigger to CI workflow

---
 .github/workflows/CI.yml | 1 +
 1 file changed, 1 insertion(+)

diff --git a/.github/workflows/CI.yml b/.github/workflows/CI.yml
index 217a265..7b2ee50 100644
--- a/.github/workflows/CI.yml
+++ b/.github/workflows/CI.yml
@@ -1,5 +1,6 @@
 name: CI
 on:
+  workflow_dispatch:
   push:
     branches:
       - master

From 98b81232bcffc5a4bd1e5c4f233ce064b465dfef Mon Sep 17 00:00:00 2001
From: Andrew Gibbs <32740541+AndrewGibbs@users.noreply.github.com>
Date: Wed, 18 Mar 2026 21:29:10 +0000
Subject: [PATCH 3/4] Add test for small negative real complex in lambertw

Add a test for lambertw function with small negative real complex input to ensure it does not error.
---
 test/small_neg_real_test.jl | 9 +++++++++
 1 file changed, 9 insertions(+)
 create mode 100644 test/small_neg_real_test.jl

diff --git a/test/small_neg_real_test.jl b/test/small_neg_real_test.jl
new file mode 100644
index 0000000..0e28386
--- /dev/null
+++ b/test/small_neg_real_test.jl
@@ -0,0 +1,9 @@
+using LambertW
+
+@testset "does not error for small negative real complex" begin
+  try lambertw(-0.4087512737796557 + 0.038455913083347504im, 0)
+    @test true
+  catch err
+    @test false
+  end
+end

From af4d441eb0807082c223811aa93d1ec22475da4e Mon Sep 17 00:00:00 2001
From: Andrew Gibbs <32740541+AndrewGibbs@users.noreply.github.com>
Date: Wed, 18 Mar 2026 21:33:52 +0000
Subject: [PATCH 4/4] Include small_neg_real_test.jl in runtests

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

diff --git a/test/runtests.jl b/test/runtests.jl
index 02ce8cf..8d3d1af 100644
--- a/test/runtests.jl
+++ b/test/runtests.jl
@@ -4,6 +4,7 @@ using Test
 
 include("lambertw_test.jl")
 include("aqua_test.jl")
+include("small_neg_real_test.jl")
 
 if VERSION >= v"1.7"
     include("jet_test.jl")