fix: stop using deprecated API in default solvers

Author: avik-pal

src/default.jl

@@ -364,7 +364,9 @@ function RobustMultiNewton(::Type{T} = Float64; concrete_jac = nothing, linsolve
                 radius_update_scheme = RadiusUpdateSchemes.Bastin),
             NewtonRaphson(; concrete_jac, linsolve, precs, autodiff),
             NewtonRaphson(; concrete_jac, linsolve, precs,
-                linesearch = LineSearchesJL(; method = BackTracking()), autodiff),
+                linesearch = LineSearch.LineSearchesJL(;
+                    method = LineSearches.BackTracking()),
+                autodiff),
             TrustRegion(; concrete_jac, linsolve, precs,
                 radius_update_scheme = RadiusUpdateSchemes.NLsolve, autodiff),
             TrustRegion(; concrete_jac, linsolve, precs,
@@ -405,7 +407,8 @@ function FastShortcutNonlinearPolyalg(
         else
             algs = (NewtonRaphson(; concrete_jac, linsolve, precs, autodiff),
                 NewtonRaphson(; concrete_jac, linsolve, precs,
-                    linesearch = LineSearchesJL(; method = LineSearches.BackTracking()),
+                    linesearch = LineSearch.LineSearchesJL(;
+                        method = LineSearches.BackTracking()),
                     autodiff),
                 TrustRegion(; concrete_jac, linsolve, precs, autodiff),
                 TrustRegion(; concrete_jac, linsolve, precs,
@@ -427,7 +430,8 @@ function FastShortcutNonlinearPolyalg(
                     SimpleKlement(),
                     NewtonRaphson(; concrete_jac, linsolve, precs, autodiff),
                     NewtonRaphson(; concrete_jac, linsolve, precs,
-                        linesearch = LineSearchesJL(; method = LineSearches.BackTracking()),
+                        linesearch = LineSearch.LineSearchesJL(;
+                            method = LineSearches.BackTracking()),
                         autodiff),
                     TrustRegion(; concrete_jac, linsolve, precs,
                         radius_update_scheme = RadiusUpdateSchemes.Bastin, autodiff))
@@ -441,12 +445,14 @@ function FastShortcutNonlinearPolyalg(
             else
                 # TODO: This number requires a bit rigorous testing
                 start_index = u0_len !== nothing ? (u0_len ≤ 25 ? 4 : 1) : 1
-                algs = (Broyden(; autodiff),
+                algs = (
+                    Broyden(; autodiff),
                     Broyden(; init_jacobian = Val(:true_jacobian), autodiff),
                     Klement(; linsolve, precs, autodiff),
                     NewtonRaphson(; concrete_jac, linsolve, precs, autodiff),
                     NewtonRaphson(; concrete_jac, linsolve, precs,
-                        linesearch = LineSearchesJL(; method = LineSearches.BackTracking()),
+                        linesearch = LineSearch.LineSearchesJL(;
+                            method = LineSearches.BackTracking()),
                         autodiff),
                     TrustRegion(; concrete_jac, linsolve, precs, autodiff),
                     TrustRegion(; concrete_jac, linsolve, precs,
@@ -483,7 +489,8 @@ function FastShortcutNLLSPolyalg(
                 linsolve, precs, disable_geodesic = Val(true), autodiff, kwargs...),
             TrustRegion(; concrete_jac, linsolve, precs, autodiff, kwargs...),
             GaussNewton(; concrete_jac, linsolve, precs,
-                linesearch = LineSearchesJL(; method = BackTracking()),
+                linesearch = LineSearch.LineSearchesJL(;
+                    method = LineSearches.BackTracking()),
                 autodiff, kwargs...),
             TrustRegion(; concrete_jac, linsolve, precs,
                 radius_update_scheme = RadiusUpdateSchemes.Bastin, autodiff, kwargs...),