refactor: remove MTKHomotopyContinuationExt

Author: AayushSabharwal

Project.toml

@@ -65,7 +65,6 @@ BifurcationKit = "0f109fa4-8a5d-4b75-95aa-f515264e7665"
 ChainRulesCore = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
 DeepDiffs = "ab62b9b5-e342-54a8-a765-a90f495de1a6"
 FMI = "14a09403-18e3-468f-ad8a-74f8dda2d9ac"
-HomotopyContinuation = "f213a82b-91d6-5c5d-acf7-10f1c761b327"
 InfiniteOpt = "20393b10-9daf-11e9-18c9-8db751c92c57"
 LabelledArrays = "2ee39098-c373-598a-b85f-a56591580800"
 
@@ -74,7 +73,6 @@ MTKBifurcationKitExt = "BifurcationKit"
 MTKChainRulesCoreExt = "ChainRulesCore"
 MTKDeepDiffsExt = "DeepDiffs"
 MTKFMIExt = "FMI"
-MTKHomotopyContinuationExt = "HomotopyContinuation"
 MTKInfiniteOptExt = "InfiniteOpt"
 MTKLabelledArraysExt = "LabelledArrays"
 
@@ -110,7 +108,6 @@ FunctionWrappers = "1.1"
 FunctionWrappersWrappers = "0.1"
 FMI = "0.14"
 Graphs = "1.5.2"
-HomotopyContinuation = "2.11"
 InfiniteOpt = "0.5"
 InteractiveUtils = "1"
 JuliaFormatter = "1.0.47"

ext/MTKHomotopyContinuationExt.jl

@@ -527,17 +527,10 @@ end
 
 function DiffEqBase.NonlinearProblem{iip}(sys::NonlinearSystem, u0map,
         parammap = DiffEqBase.NullParameters();
-        check_length = true, use_homotopy_continuation = false, kwargs...) where {iip}
+        check_length = true, kwargs...) where {iip}
     if !iscomplete(sys)
         error("A completed `NonlinearSystem` is required. Call `complete` or `structural_simplify` on the system before creating a `NonlinearProblem`")
     end
-    if use_homotopy_continuation
-        prob = safe_HomotopyContinuationProblem(
-            sys, u0map, parammap; check_length, kwargs...)
-        if prob isa HomotopyContinuationProblem
-            return prob
-        end
-    end
     f, u0, p = process_SciMLProblem(NonlinearFunction{iip}, sys, u0map, parammap;
         check_length, kwargs...)
     pt = something(get_metadata(sys), StandardNonlinearProblem())