Actually, just saw this: https://github.com/JuliaLang/julia/issues/9818 
<https://github.com/JuliaLang/julia/issues/9818>. Ignore the messed up 
@code_typed stuff in my previous reply to this thread.

I believe the type-inference concerns are still there, however, even if 
@code_typed doesn't correctly report them, so the fixes I listed should 
still be useful for patching over inferencing problems with keyword 
arguments.

Best,
Jarrett

On Tuesday, September 1, 2015 at 12:49:02 PM UTC-4, Jarrett Revels wrote:
>
> Related: https://github.com/JuliaLang/julia/issues/9551
>
> Unfortunately, as you've seen, type-variadic keyword arguments can really 
> mess up type-inferencing. It appears that keyword argument types are pulled 
> from the default arguments rather than those actually passed in at runtime:
>
> *julia> f(x; a=1, b=2) = a*x^b*
> *f (generic function with 1 method)*
>
> *julia> f(1)*
> *1*
>
> *julia> f(1, a=(3+im), b=5.15)*
> *3.0 + 1.0im*
>
> *julia> @code_typed f(1, a=(3+im), b=5.15)*
> *1-element Array{Any,1}:*
> * :($(Expr(:lambda, Any[:x], 
> Any[Any[Any[:x,Int64,0]],Any[],Any[Int64],Any[]], :(begin $(Expr(:line, 1, 
> :none, symbol("")))*
> *        GenSym(0) = (Base.power_by_squaring)(x::Int64,2)::Int64*
> *        return (Base.box)(Int64,(Base.mul_int)(1,GenSym(0)))::Int64*
> *    end::Int64))))*
>
> Obviously, that specific call to f does NOT return an Int64.
>
> I know of only two reasonable ways to handle it at the moment:
>
> 1. If you're the method author: Restrict every keyword argument to a 
> declared, concrete type, which ensures that the argument isn't 
> type-variadic. Yichao basically gave an example of this.
> 2. If you're the method caller: Manually assert the return type. You can 
> do this pretty easily in most cases using a wrapper function. 
> Using `f` from above as an example:
>
> *julia> g{X,A,B}(x::X, a::A, b::B) = f(x, a=a, b=b)::promote_type(X, A, B)*
> *g (generic function with 2 methods)*
>
> *julia> @code_typed g(1,2,3)*
> *1-element Array{Any,1}:*
> * :($(Expr(:lambda, Any[:x,:a,:b], 
> Any[Any[Any[:x,Int64,0],Any[:a,Int64,0],Any[:b,Int64,0]],Any[],Any[Int64],Any[:X,:A,:B]],
>  
> :(begin  # none, line 1:*
> *        return 
> (top(typeassert))((top(kwcall))((top(getfield))(Main,:call)::F,2,:a,a::Int64,:b,b::Int64,Main.f,(top(ccall))(:jl_alloc_array_1d,(top(apply_type))(Base.Array,Any,1)::Type{Array{Any,1}},(top(svec))(Base.Any,Base.Int)::SimpleVector,Array{Any,1},0,4,0)::Array{Any,1},x::Int64),Int64)::Int64*
> *    end::Int64))))*
>
> *julia> @code_typed g(1,2,3.0)*
> *1-element Array{Any,1}:*
> * :($(Expr(:lambda, Any[:x,:a,:b], 
> Any[Any[Any[:x,Int64,0],Any[:a,Int64,0],Any[:b,Float64,0]],Any[],Any[Int64],Any[:X,:A,:B]],
>  
> :(begin  # none, line 1:*
> *        return 
> (top(typeassert))((top(kwcall))((top(getfield))(Main,:call)::F,2,:a,a::Int64,:b,b::Float64,Main.f,(top(ccall))(:jl_alloc_array_1d,(top(apply_type))(Base.Array,Any,1)::Type{Array{Any,1}},(top(svec))(Base.Any,Base.Int)::SimpleVector,Array{Any,1},0,4,0)::Array{Any,1},x::Int64),Float64)::Float64*
> *    end::Float64))))*
>
> *julia> @code_typed g(1,2,3.0+im)*
> *1-element Array{Any,1}:*
> * :($(Expr(:lambda, Any[:x,:a,:b], 
> Any[Any[Any[:x,Int64,0],Any[:a,Int64,0],Any[:b,Complex{Float64},0]],Any[],Any[Int64],Any[:X,:A,:B]],
>  
> :(begin  # none, line 1:*
> *        return 
> (top(typeassert))((top(kwcall))((top(getfield))(Main,:call)::F,2,:a,a::Int64,:b,b::Complex{Float64},Main.f,(top(ccall))(:jl_alloc_array_1d,(top(apply_type))(Base.Array,Any,1)::Type{Array{Any,1}},(top(svec))(Base.Any,Base.Int)::SimpleVector,Array{Any,1},0,4,0)::Array{Any,1},x::Int64),Complex{Float64})::Complex{Float64}*
> *    end::Complex{Float64}))))*
>
> Thus, downstream functions can call *f* through *g, *preventing 
> type-instability from "bubbling up" to the calling methods (as it would if 
> they called *f* directly).
>
> Best,
> Jarrett
>
> On Tuesday, September 1, 2015 at 8:39:11 AM UTC-4, Michael Francis wrote:
>>
>> 2) The underlying functions are only stable if the mean passed to them is 
>> of the correct type, e.g. a number. Essentially this is a type inference 
>> issue, if the compiler was able to optimize  the branches then it would be 
>> likely be ok, it looks from the LLVM code that this is not the case today. 
>>
>> FWIW using a type stable version (e.g. directly calling covm) looks to be 
>> about 18% faster for small (100 element) AbstractArray pairs. 
>>
>> On Monday, August 31, 2015 at 9:06:58 PM UTC-4, Sisyphuss wrote:
>>>
>>> IMO:
>>> 1) This is called keyword argument (not named optional argument).
>>> 2) The returned value depends only on `corzm`, and `corm`. If these two 
>>> functions are type stable, then `cor` is type stable.
>>> 3) I'm not sure whether this is the "correct" way to write this function.
>>>
>>> On Monday, August 31, 2015 at 11:48:37 PM UTC+2, Michael Francis wrote:
>>>>
>>>> The following is taken from statistics.jl line 428 
>>>>
>>>>     function cor(x::AbstractVector, y::AbstractVector; mean=nothing)
>>>>         mean == 0 ? corzm(x, y) :
>>>>         mean == nothing ? corm(x, Base.mean(x), y, Base.mean(y)) :
>>>>         isa(mean, (Number,Number)) ? corm(x, mean[1], y, mean[2]) :
>>>>         error("Invalid value of mean.")
>>>>     end
>>>>
>>>> due to the 'mean' initially having a type of 'Nothing' I am unable to 
>>>> inference the return type of the function - the following will return Any 
>>>> for the return type.
>>>>
>>>>     rt = {}
>>>>     for x in Base._methods(f,types,-1)
>>>>         linfo = x[3].func.code
>>>>         (tree, ty) = Base.typeinf(linfo, x[1], x[2])
>>>>         push!(rt, ty)
>>>>     end
>>>>
>>>> Each of the underlying functions are type stable when called directly. 
>>>>
>>>> Code lowered doesn't give much of a pointer to what will actually 
>>>> happen here, 
>>>>
>>>> julia> code_lowered( cor, ( Vector{Float64}, Vector{Float64} ) )
>>>> 1-element Array{Any,1}:
>>>>  :($(Expr(:lambda, {:x,:y}, {{},{{:x,:Any,0},{:y,:Any,0}},{}}, :(begin 
>>>> $(Expr(:line, 429, symbol("statistics.jl"), symbol("")))
>>>>         return __cor#195__(nothing,x,y)
>>>>     end))))
>>>>
>>>>
>>>> If I re-write with a regular optional arg for the mean 
>>>>
>>>> code_lowered( cordf, ( Vector{Float64}, Vector{Float64}, Nothing ) )
>>>> 1-element Array{Any,1}:
>>>>  :($(Expr(:lambda, {:x,:y,:mean}, {{},{{:x,:Any,0},{:y,:Any,0},{:mean,:
>>>> Any,0}},{}}, :(begin  # none, line 2:
>>>>         unless mean == 0 goto 0
>>>>         return corzm(x,y)
>>>>         0: 
>>>>         unless mean == nothing goto 1
>>>>         return corm(x,((top(getfield))(Base,:mean))(x),y,((top(getfield
>>>> ))(Base,:mean))(y))
>>>>         1: 
>>>>         unless isa(mean,(top(tuple))(Number,Number)) goto 2
>>>>         return corm(x,getindex(mean,1),y,getindex(mean,2))
>>>>         2: 
>>>>         return error("Invalid value of mean.")
>>>>     end))))
>>>>
>>>> The LLVM code does not look very clean, If I have a real type for the 
>>>> mean (say Float64 ) it looks better  88 lines vs 140 
>>>>
>>>> julia> code_llvm( cor, ( Vector{Float64}, Vector{Float64}, Nothing ) )
>>>>
>>>>
>>>> define %jl_value_t* @julia_cordf_20322(%jl_value_t*, %jl_value_t*, %
>>>> jl_value_t*) {
>>>> top:
>>>>   %3 = alloca [7 x %jl_value_t*], align 8
>>>>   %.sub = getelementptr inbounds [7 x %jl_value_t*]* %3, i64 0, i64 0
>>>>   %4 = getelementptr [7 x %jl_value_t*]* %3, i64 0, i64 2, !dbg !949
>>>>   store %jl_value_t* inttoptr (i64 10 to %jl_value_t*), %jl_value_t** 
>>>> %.sub, align 8
>>>>   %5 = getelementptr [7 x %jl_value_t*]* %3, i64 0, i64 1, !dbg !949
>>>>   %6 = load %jl_value_t*** @jl_pgcstack, align 8, !
>>>> ...
>>>
>>>

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