Merge pull request #3385 from AayushSabharwal/as/codegen-nlhc

refactor: rewrite `HomotopyContinuationProblem` to target NonlinearSolveHomotopyContinuation.jl

Author: ChrisRackauckas

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"
 
@@ -112,7 +110,6 @@ ForwardDiff = "0.10.3"
 FunctionWrappers = "1.1"
 FunctionWrappersWrappers = "0.1"
 Graphs = "1.5.2"
-HomotopyContinuation = "2.11"
 InfiniteOpt = "0.5"
 InteractiveUtils = "1"
 JuliaFormatter = "1.0.47"