I can't read low level code or tweak with the compiler. Could you try 
giving `mean` the default value `NaN`?



On Tuesday, September 1, 2015 at 7:29:59 PM UTC+2, Michael Francis wrote:
>
> Thanks, that is a good pointer.
>
> In this specific case its unfortunate that there is a keyword arg in the 
> API at all, having two functions one with a mean supplied and one without 
> would avoid this issue and remove the branch logic replacing it with static 
> dispatch. 
>
> On Tuesday, September 1, 2015 at 1:02:17 PM UTC-4, Jarrett Revels wrote:
>>
>> 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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