Remove SparseMatrixColorings as a dependency

SparseMatrixColorings was only imported in NonlinearSolve.jl but never actually used.
The actual implementation is in NonlinearSolveBase where it's already a weakdep with
an extension.

Changes:
- Removed the `using SparseMatrixColorings` import from src/NonlinearSolve.jl
- Removed SparseMatrixColorings from deps and weakdeps
- Kept it in test extras since it's needed for testing automatic sparse differentiation

This reduces the dependency load for all users. Those who need sparse AD support will
get it through NonlinearSolveBase's extension when they load SparseMatrixColorings.

🤖 Generated with [Claude Code](https://claude.ai/code)

Co-Authored-By: Claude <[email protected]>

Author: claude

Project.toml

@@ -26,7 +26,6 @@ Preferences = "21216c6a-2e73-6563-6e65-726566657250"
 Reexport = "189a3867-3050-52da-a836-e630ba90ab69"
 SciMLBase = "0bca4576-84f4-4d90-8ffe-ffa030f20462"
 SimpleNonlinearSolve = "727e6d20-b764-4bd8-a329-72de5adea6c7"
-SparseMatrixColorings = "0a514795-09f3-496d-8182-132a7b665d35"
 StaticArraysCore = "1e83bf80-4336-4d27-bf5d-d5a4f845583c"
 SymbolicIndexingInterface = "2efcf032-c050-4f8e-a9bb-153293bab1f5"
 
@@ -45,6 +44,14 @@ SparseArrays = "2f01184e-e22b-5df5-ae63-d93ebab69eaf"
 SpeedMapping = "f1835b91-879b-4a3f-a438-e4baacf14412"
 Sundials = "c3572dad-4567-51f8-b174-8c6c989267f4"
 
+[sources]
+BracketingNonlinearSolve = {path = "lib/BracketingNonlinearSolve"}
+NonlinearSolveBase = {path = "lib/NonlinearSolveBase"}
+NonlinearSolveFirstOrder = {path = "lib/NonlinearSolveFirstOrder"}
+NonlinearSolveQuasiNewton = {path = "lib/NonlinearSolveQuasiNewton"}
+NonlinearSolveSpectralMethods = {path = "lib/NonlinearSolveSpectralMethods"}
+SimpleNonlinearSolve = {path = "lib/SimpleNonlinearSolve"}
+
 [extensions]
 NonlinearSolveFastLevenbergMarquardtExt = "FastLevenbergMarquardt"
 NonlinearSolveFixedPointAccelerationExt = "FixedPointAcceleration"
@@ -142,31 +149,13 @@ Random = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c"
 ReTestItems = "817f1d60-ba6b-4fd5-9520-3cf149f6a823"
 SIAMFANLEquations = "084e46ad-d928-497d-ad5e-07fa361a48c4"
 SparseConnectivityTracer = "9f842d2f-2579-4b1d-911e-f412cf18a3f5"
+SparseMatrixColorings = "0a514795-09f3-496d-8182-132a7b665d35"
 SpeedMapping = "f1835b91-879b-4a3f-a438-e4baacf14412"
 StableRNGs = "860ef19b-820b-49d6-a774-d7a799459cd3"
 StaticArrays = "90137ffa-7385-5640-81b9-e52037218182"
 Sundials = "c3572dad-4567-51f8-b174-8c6c989267f4"
 Test = "8dfed614-e22c-5e08-85e1-65c5234f0b40"
 Zygote = "e88e6eb3-aa80-5325-afca-941959d7151f"
 
-[sources.BracketingNonlinearSolve]
-path = "lib/BracketingNonlinearSolve"
-
-[sources.NonlinearSolveBase]
-path = "lib/NonlinearSolveBase"
-
-[sources.NonlinearSolveFirstOrder]
-path = "lib/NonlinearSolveFirstOrder"
-
-[sources.NonlinearSolveQuasiNewton]
-path = "lib/NonlinearSolveQuasiNewton"
-
-[sources.NonlinearSolveSpectralMethods]
-path = "lib/NonlinearSolveSpectralMethods"
-
-[sources.SimpleNonlinearSolve]
-path = "lib/SimpleNonlinearSolve"
-
 [targets]
-test = ["Aqua", "BandedMatrices", "BenchmarkTools", "CUDA", "ExplicitImports", "FastLevenbergMarquardt", "FixedPointAcceleration", "Hwloc", "InteractiveUtils", "LeastSquaresOptim", "LineSearches", "MINPACK", "NLSolvers", "NLsolve", "NaNMath", "NonlinearProblemLibrary", "OrdinaryDiffEqTsit5", "PETSc", "Pkg", "PolyesterForwardDiff", "Random", "ReTestItems", "SIAMFANLEquations", "SparseConnectivityTracer", "SpeedMapping", "StableRNGs", "StaticArrays", "Sundials", "Test", "Zygote"]
-
+test = ["Aqua", "BandedMatrices", "BenchmarkTools", "CUDA", "ExplicitImports", "FastLevenbergMarquardt", "FixedPointAcceleration", "Hwloc", "InteractiveUtils", "LeastSquaresOptim", "LineSearches", "MINPACK", "NLSolvers", "NLsolve", "NaNMath", "NonlinearProblemLibrary", "OrdinaryDiffEqTsit5", "PETSc", "Pkg", "PolyesterForwardDiff", "Random", "ReTestItems", "SIAMFANLEquations", "SparseConnectivityTracer", "SparseMatrixColorings", "SpeedMapping", "StableRNGs", "StaticArrays", "Sundials", "Test", "Zygote"]

src/NonlinearSolve.jl

@@ -30,9 +30,6 @@ using SimpleNonlinearSolve: SimpleBroyden, SimpleKlement
 using FiniteDiff: FiniteDiff          # Default Finite Difference Method
 using ForwardDiff: ForwardDiff, Dual  # Default Forward Mode AD
 
-# Sparse AD Support: Implemented via extensions in NonlinearSolveBase
-using SparseMatrixColorings: SparseMatrixColorings
-
 # Sub-Packages that are re-exported by NonlinearSolve
 using BracketingNonlinearSolve: BracketingNonlinearSolve
 using LineSearch: LineSearch