Use dispatch instead of adding Scalar* solvers

Author: YingboMa

src/NonlinearSolve.jl

@@ -27,7 +27,6 @@ module NonlinearSolve
 
   # DiffEq styled algorithms
   export Bisection, Falsi, NewtonRaphson
-  export ScalarBisection, ScalarNewton
 
   export reinit!
 end # module

src/scalar.jl

@@ -1,11 +1,4 @@
-"""
-ScalarNewton
-
-Fast Newton Raphson for scalar problems.
-"""
-struct ScalarNewton <: AbstractNonlinearSolveAlgorithm end
-
-function DiffEqBase.solve(prob::NonlinearProblem{uType, false}, ::ScalarNewton, args...; xatol = nothing, xrtol = nothing, maxiters = 1000, kwargs...) where {uType}
+function DiffEqBase.solve(prob::NonlinearProblem{<:Number}, ::NewtonRaphson, args...; xatol = nothing, xrtol = nothing, maxiters = 1000, kwargs...)
   f = Base.Fix2(prob.f, prob.p)
   x = float(prob.u0)
   T = typeof(x)
@@ -26,15 +19,7 @@ function DiffEqBase.solve(prob::NonlinearProblem{uType, false}, ::ScalarNewton,
   return oftype(x, NaN)
 end
 
-"""
-  ScalarBisection
-
-Fast Bisection for scalar problems. Note that it doesn't returns exact solution, but returns
-the best left limit of the exact solution.
-"""
-struct ScalarBisection <: AbstractNonlinearSolveAlgorithm end
-
-function DiffEqBase.solve(prob::NonlinearProblem{uType, false}, ::ScalarBisection, args...; maxiters = 1000, kwargs...) where {uType}
+function DiffEqBase.solve(prob::NonlinearProblem{<:Number}, ::Bisection, args...; maxiters = 1000, kwargs...)
   f = Base.Fix2(prob.f, prob.p)
   left, right = prob.u0
   fl, fr = f(left), f(right)

src/solve.jl

@@ -12,7 +12,7 @@ function DiffEqBase.init(prob::NonlinearProblem{uType, iip}, alg::AbstractBracke
     immutable = (prob.u0 isa StaticArray || prob.u0 isa Number),
     kwargs...
   ) where {uType, iip}
-  
+
   if !(prob.u0 isa Tuple)
     error("You need to pass a tuple of u0 in bracketing algorithms.")
   end

test/runtests.jl

@@ -17,7 +17,7 @@ end
 
 function benchmark_scalar(f, u0)
     probN = NonlinearProblem{false}(f, u0)
-    sol = (solve(probN, ScalarNewton()))
+    sol = (solve(probN, NewtonRaphson()))
 end
 
 f, u0 = (u,p) -> u .* u .- 2, @SVector[1.0, 1.0]