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[RFC] Reimplement dormant JuMPArray to work with any cartesian product index sets #590

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merged 1 commit into from
Dec 6, 2015

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joehuchette
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WIP, just opening to solicit comments on the approach.

return d.innerArray[idx...]
end
Base.getindex{T}(d::JuMPArray{T,1}, I) =
d.innerArray[_rev_lookup(d.lookup[1], d.indexsets[1], I[1])]
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d.indexsets[1] cannot be type inferred, I can't see how this would be fast enough in the base case of ranges

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maybe with generated functions?

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How?

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Actually, since it's a tuple, maybe it can?

julia> Base.return_types(getindex, (typeof((1:3,1:4)), Int))
1-element Array{Any,1}:
 UnitRange{Int64}

Might have to change d::NTuple{N} to d::NT parameterized on NT or something.

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That's what the original version has

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How is that any different than what we have now?

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Right now we're generating a type inside of a macro. We might lose some generality by moving away from that. The old JuMPArray code above has NTuple with a uniform element type.

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This approach could get the same behavior by doing the from UnitRange to StepRange conversion inside the constructor if that's all you're concerned about.

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If the index sets have uniform type, then we don't gain much by adding an extra level of method calls, which may or may not be inlined.

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@inline _rev_lookup?

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mlubin commented Sep 27, 2015

What kinds of index sets are we looking to support besides ranges? Is the goal to avoid promoting UnitRange to StepRange when there's a mix?

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The goal is to make the system more modular, so that we deal with each dimension independently. That is a nice side-effect, though.

length(indices) == N || error("Wrong number of indices for ",d.name,", expected ",length(d.indexsets))
idx = Array(Int, N)
function Base.getindex{T,N}(d::JuMPArray{T,N}, I::NTuple{N})
idx = zeros(Int, N)
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The speed issue is really here, we should use a staged function to generate efficient tuple code based on N instead of allocating an array.

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Yes, I just did it this way initially because it's easy. I'm thinking it might be best just to compute the linear index into innerArray and use that.

function Base.getindex{T}(d::JuMPArray{T,1,UnitRange{Int}},index::Real)
@inbounds return d.innerArray[index - start(d.indexsets[1])+1]
function JuMPArray{T,N}(innerArray::Array{T,N}, indexsets::NTuple{N})
JuMPArray(innerArray, indexsets, ntuple(N) do i
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Does type inference work here? The mix of anonymous functions might make it tricky.

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That's a good question. My wishful thinking is that ntuple is sufficiently optimized to make this acceptable.

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Could always become a generated function as well, I guess.

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Yes, that would be the safe way to go

$(esc(instancename)) = JuMPDict{$T,$N}()
)
indexsets = Expr(:tuple, [:($(esc(idxset))) for idxset in idxsets]...)
:($(esc(instancename)) = JuMPArray(Array($T, $sizes), $indexsets))
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In which cases do we use JuMPDict now?

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When there's a conditional and Cartesian indexing doesn't make sense

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Is this logic in @defVar?

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mlubin commented Nov 23, 2015

On master:

julia> m = Model();

julia> @defVar(m, x[1:2,3:4]);

julia> @code_warntype x[1,3]
Variables:
  d::JuMP.JuMPArray##7155{JuMP.Variable}
  x1::Int64
  x2::Int64
  #s4::Int64
  #s5::Int64
  ##I#7363::Tuple{}

Body:
  begin 
      NewvarNode(symbol("#s4"))
      NewvarNode(symbol("#s5"))
      unless (JuMP.isa)(x1::Int64,JuMP.Int)::Bool goto 0
      #s4 = (Base.box)(Base.Int,(Base.add_int)(x1::Int64,0))
      goto 1
      0: 
      #s4 = x1::Int64
      1: 
      unless (JuMP.isa)(x2::Int64,JuMP.Int)::Bool goto 2
      #s5 = (Base.box)(Base.Int,(Base.add_int)(x2::Int64,-2))
      goto 3
      2: 
      #s5 = x2::Int64
      3: 
      return (Base.arrayref)((top(getfield))(d::JuMP.JuMPArray##7155{JuMP.Variable},:innerArray)::Array{JuMP.Variable,2},#s4::Int64,#s5::Int64)::JuMP.Variable
  end::JuMP.Variable

julia> @code_llvm x[1,3]

define %jl_value_t* @julia_getindex_21575(%jl_value_t*, i64, i64) {
top:
  %3 = getelementptr inbounds %jl_value_t* %0, i64 0, i32 0
  %4 = load %jl_value_t** %3, align 8
  %5 = add i64 %1, -1
  %6 = getelementptr inbounds %jl_value_t* %4, i64 3, i32 0
  %7 = bitcast %jl_value_t** %6 to i64*
  %8 = load i64* %7, align 8
  %9 = icmp ult i64 %5, %8
  br i1 %9, label %ib, label %oob

ib:                                               ; preds = %top
  %10 = add i64 %2, -3
  %11 = mul i64 %8, %10
  %12 = add i64 %5, %11
  %13 = getelementptr inbounds %jl_value_t* %4, i64 1
  %14 = bitcast %jl_value_t* %13 to i64*
  %15 = load i64* %14, align 8
  %16 = icmp ult i64 %12, %15
  br i1 %16, label %idxend, label %oob

oob:                                              ; preds = %ib, %top
  %17 = add i64 %2, -2
  %18 = alloca [2 x i64], align 8
  %.sub = getelementptr inbounds [2 x i64]* %18, i64 0, i64 0
  store i64 %1, i64* %.sub, align 8
  %19 = getelementptr [2 x i64]* %18, i64 0, i64 1
  store i64 %17, i64* %19, align 8
  call void @jl_bounds_error_ints(%jl_value_t* %4, i64* %.sub, i64 2)
  unreachable

idxend:                                           ; preds = %ib
  %20 = bitcast %jl_value_t* %4 to i8**
  %21 = load i8** %20, align 8
  %22 = bitcast i8* %21 to %jl_value_t**
  %23 = getelementptr %jl_value_t** %22, i64 %12
  %24 = load %jl_value_t** %23, align 8
  %25 = icmp eq %jl_value_t* %24, null
  br i1 %25, label %fail, label %pass

fail:                                             ; preds = %idxend
  %26 = load %jl_value_t** @jl_undefref_exception, align 8
  call void @jl_throw_with_superfluous_argument(%jl_value_t* %26, i32 -1)
  unreachable

pass:                                             ; preds = %idxend
  ret %jl_value_t* %24
}

On this branch:

julia> @code_warntype x[1,3]
Variables:
  d::JuMP.JuMPArray{JuMP.Variable,2,Tuple{UnitRange{Int64},UnitRange{Int64}}}
  idx::Tuple{Int64,Int64}
  #s3::Bool
  rng::UnitRange{Int64}
  I::Int64
  #s2::Bool
  ##I#7373::Tuple{}

Body:
  begin  # /home/mlubin/.julia/v0.4/JuMP/src/JuMPArray.jl, line 40:
      NewvarNode(symbol("#s3"))
      NewvarNode(symbol("#s2")) # /home/mlubin/.julia/v0.4/JuMP/src/JuMPArray.jl, line 44:
      rng = (Base.getfield)((top(getfield))(d::JuMP.JuMPArray{JuMP.Variable,2,Tuple{UnitRange{Int64},UnitRange{Int64}}},:indexsets)::Tuple{UnitRange{Int64},UnitRange{Int64}},1)::UnitRange{Int64} # /home/mlubin/.julia/v0.4/JuMP/src/JuMPArray.jl, line 45:
      I = (Base.getfield)(idx::Tuple{Int64,Int64},1)::Int64 # /home/mlubin/.julia/v0.4/JuMP/src/JuMPArray.jl, line 46:
      unless (Base.sle_int)((top(getfield))(rng::UnitRange{Int64},:start)::Int64,I::Int64)::Bool goto 0
      #s3 = (Base.sle_int)(I::Int64,(top(getfield))(rng::UnitRange{Int64},:stop)::Int64)::Bool
      goto 1
      0: 
      #s3 = false
      1: 
      unless #s3::Bool goto 2
      goto 3
      2: 
      (JuMP.throw)($(Expr(:new, :((top(getfield))(Core,:BoundsError)::Type{BoundsError}))))::Union{}
      3:  # /home/mlubin/.julia/v0.4/JuMP/src/JuMPArray.jl, line 47:
      GenSym(0) = (Base.box)(Int64,(Base.sub_int)(I::Int64,(Base.box)(Int64,(Base.sub_int)((top(getfield))(rng::UnitRange{Int64},:start)::Int64,1)))) # /home/mlubin/.julia/v0.4/JuMP/src/JuMPArray.jl, line 44:
      rng = (Base.getfield)((top(getfield))(d::JuMP.JuMPArray{JuMP.Variable,2,Tuple{UnitRange{Int64},UnitRange{Int64}}},:indexsets)::Tuple{UnitRange{Int64},UnitRange{Int64}},2)::UnitRange{Int64} # /home/mlubin/.julia/v0.4/JuMP/src/JuMPArray.jl, line 45:
      I = (Base.getfield)(idx::Tuple{Int64,Int64},2)::Int64 # /home/mlubin/.julia/v0.4/JuMP/src/JuMPArray.jl, line 46:
      unless (Base.sle_int)((top(getfield))(rng::UnitRange{Int64},:start)::Int64,I::Int64)::Bool goto 4
      #s2 = (Base.sle_int)(I::Int64,(top(getfield))(rng::UnitRange{Int64},:stop)::Int64)::Bool
      goto 5
      4: 
      #s2 = false
      5: 
      unless #s2::Bool goto 6
      goto 7
      6: 
      (JuMP.throw)($(Expr(:new, :((top(getfield))(Core,:BoundsError)::Type{BoundsError}))))::Union{}
      7:  # /home/mlubin/.julia/v0.4/JuMP/src/JuMPArray.jl, line 47:
      GenSym(1) = (Base.box)(Int64,(Base.sub_int)(I::Int64,(Base.box)(Int64,(Base.sub_int)((top(getfield))(rng::UnitRange{Int64},:start)::Int64,1))))
      return (Base.arrayref)((top(getfield))(d::JuMP.JuMPArray{JuMP.Variable,2,Tuple{UnitRange{Int64},UnitRange{Int64}}},:innerArray)::Array{JuMP.Variable,2},GenSym(0),GenSym(1))::JuMP.Variable
  end::JuMP.Variable

julia> @code_llvm x[1,3]

define %jl_value_t* @julia_getindex_21649(%jl_value_t*, %jl_value_t**, i32) {
top:
  %3 = alloca [3 x %jl_value_t*], align 8
  %.sub = getelementptr inbounds [3 x %jl_value_t*]* %3, i64 0, i64 0
  %4 = getelementptr [3 x %jl_value_t*]* %3, i64 0, i64 2
  store %jl_value_t* inttoptr (i64 2 to %jl_value_t*), %jl_value_t** %.sub, align 8
  %5 = getelementptr [3 x %jl_value_t*]* %3, i64 0, i64 1
  %6 = load %jl_value_t*** @jl_pgcstack, align 8
  %.c = bitcast %jl_value_t** %6 to %jl_value_t*
  store %jl_value_t* %.c, %jl_value_t** %5, align 8
  store %jl_value_t** %.sub, %jl_value_t*** @jl_pgcstack, align 8
  store %jl_value_t* null, %jl_value_t** %4, align 8
  %7 = add i32 %2, -1
  %8 = icmp eq i32 %7, 0
  br i1 %8, label %fail, label %pass

fail:                                             ; preds = %top
  %9 = getelementptr %jl_value_t** %1, i64 1
  call void @jl_bounds_error_tuple_int(%jl_value_t** %9, i64 0, i64 1)
  unreachable

pass:                                             ; preds = %top
  %10 = load %jl_value_t** %1, align 8
  %11 = getelementptr %jl_value_t* %10, i64 1
  %12 = bitcast %jl_value_t* %11 to %UnitRange*
  %13 = load %UnitRange* %12, align 8
  %14 = extractvalue %UnitRange %13, 0
  %15 = getelementptr %jl_value_t** %1, i64 1
  %16 = load %jl_value_t** %15, align 8
  %17 = bitcast %jl_value_t* %16 to i64*
  %18 = load i64* %17, align 16
  %19 = icmp sgt i64 %14, %18
  br i1 %19, label %L4, label %L1

L1:                                               ; preds = %pass
  %20 = extractvalue %UnitRange %13, 1
  %phitmp = icmp sgt i64 %18, %20
  br i1 %phitmp, label %L4, label %L7

L4:                                               ; preds = %L1, %pass
  %21 = call %jl_value_t* @jl_gc_alloc_2w()
  %22 = getelementptr inbounds %jl_value_t* %21, i64 -1, i32 0
  store %jl_value_t* inttoptr (i64 139742921017328 to %jl_value_t*), %jl_value_t** %22, align 8
  %23 = getelementptr inbounds %jl_value_t* %21, i64 0, i32 0
  store %jl_value_t* null, %jl_value_t** %23, align 8
  %24 = getelementptr inbounds %jl_value_t* %21, i64 1, i32 0
  store %jl_value_t* null, %jl_value_t** %24, align 8
  call void @jl_throw_with_superfluous_argument(%jl_value_t* %21, i32 46)
  unreachable

L7:                                               ; preds = %L1
  %25 = icmp ugt i32 %7, 1
  br i1 %25, label %pass9, label %fail8

fail8:                                            ; preds = %L7
  %26 = sext i32 %7 to i64
  call void @jl_bounds_error_tuple_int(%jl_value_t** %15, i64 %26, i64 2)
  unreachable

pass9:                                            ; preds = %L7
  %27 = getelementptr inbounds %jl_value_t* %10, i64 3
  %28 = bitcast %jl_value_t* %27 to %UnitRange*
  %29 = load %UnitRange* %28, align 8
  %30 = extractvalue %UnitRange %29, 0
  %31 = getelementptr %jl_value_t** %1, i64 2
  %32 = load %jl_value_t** %31, align 8
  %33 = bitcast %jl_value_t* %32 to i64*
  %34 = load i64* %33, align 16
  %35 = icmp sgt i64 %30, %34
  br i1 %35, label %L16, label %L13

L13:                                              ; preds = %pass9
  %36 = extractvalue %UnitRange %29, 1
  %phitmp22 = icmp sgt i64 %34, %36
  br i1 %phitmp22, label %L16, label %L19

L16:                                              ; preds = %L13, %pass9
  %37 = call %jl_value_t* @jl_gc_alloc_2w()
  %38 = getelementptr inbounds %jl_value_t* %37, i64 -1, i32 0
  store %jl_value_t* inttoptr (i64 139742921017328 to %jl_value_t*), %jl_value_t** %38, align 8
  %39 = getelementptr inbounds %jl_value_t* %37, i64 0, i32 0
  store %jl_value_t* null, %jl_value_t** %39, align 8
  %40 = getelementptr inbounds %jl_value_t* %37, i64 1, i32 0
  store %jl_value_t* null, %jl_value_t** %40, align 8
  call void @jl_throw_with_superfluous_argument(%jl_value_t* %37, i32 46)
  unreachable

L19:                                              ; preds = %L13
  %.neg38 = sub i64 1, %14
  %41 = add i64 %.neg38, %18
  %.neg40 = sub i64 1, %30
  %42 = add i64 %.neg40, %34
  %43 = getelementptr inbounds %jl_value_t* %10, i64 0, i32 0
  %44 = load %jl_value_t** %43, align 8
  %45 = add i64 %41, -1
  %46 = getelementptr inbounds %jl_value_t* %44, i64 3, i32 0
  %47 = bitcast %jl_value_t** %46 to i64*
  %48 = load i64* %47, align 8
  %49 = icmp ult i64 %45, %48
  br i1 %49, label %ib, label %oob

ib:                                               ; preds = %L19
  %50 = add i64 %42, -1
  %51 = mul i64 %48, %50
  %52 = add i64 %45, %51
  %53 = getelementptr inbounds %jl_value_t* %44, i64 1
  %54 = bitcast %jl_value_t* %53 to i64*
  %55 = load i64* %54, align 8
  %56 = icmp ult i64 %52, %55
  br i1 %56, label %idxend, label %oob

oob:                                              ; preds = %ib, %L19
  %57 = alloca [2 x i64], align 8
  %.sub23 = getelementptr inbounds [2 x i64]* %57, i64 0, i64 0
  store i64 %41, i64* %.sub23, align 8
  %58 = getelementptr [2 x i64]* %57, i64 0, i64 1
  store i64 %42, i64* %58, align 8
  call void @jl_bounds_error_ints(%jl_value_t* %44, i64* %.sub23, i64 2)
  unreachable

idxend:                                           ; preds = %ib
  %59 = bitcast %jl_value_t* %44 to i8**
  %60 = load i8** %59, align 8
  %61 = bitcast i8* %60 to %jl_value_t**
  %62 = getelementptr %jl_value_t** %61, i64 %52
  %63 = load %jl_value_t** %62, align 8
  %64 = icmp eq %jl_value_t* %63, null
  br i1 %64, label %fail20, label %pass21

fail20:                                           ; preds = %idxend
  %65 = load %jl_value_t** @jl_undefref_exception, align 8
  call void @jl_throw_with_superfluous_argument(%jl_value_t* %65, i32 47)
  unreachable

pass21:                                           ; preds = %idxend
  %66 = load %jl_value_t** %5, align 8
  %67 = getelementptr inbounds %jl_value_t* %66, i64 0, i32 0
  store %jl_value_t** %67, %jl_value_t*** @jl_pgcstack, align 8
  ret %jl_value_t* %63
}

@joehuchette
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There's probably optimizations to do, but it's going to be hard to beat one-off codegen that uses the integer literal offsets like #s5 = (Base.box)(Base.Int,(Base.add_int)(x2::Int64,-2))

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mlubin commented Nov 23, 2015

I'm okay with that, but not sure if it accounts for most of the extra instructions. Definitely need to benchmark

end
d.innerArray[idx...] = val
Expr(:call, :getindex, :(d.innerArray), indexing...)
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These can be @inbounds

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mlubin commented Nov 23, 2015

The point of comparison would be something like:

immutable JuMPArray{T,N} <: JuMPContainer{T}
    innerArray::Array{T,N}
    startidx::NTuple{N,Int}
    endidx::NTuple{N,Int}
    meta::Dict{Symbol,Any}
end

which is specialized for each dimension being a unit range. I'm afraid that the julia compiler won't do a good job (anytime soon) of optimizing the current case where there's extra levels of indirection.

@mlubin mlubin force-pushed the JuMPArray-part-deux branch from bf7d904 to 45a5c90 Compare December 2, 2015 02:20
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mlubin commented Dec 2, 2015

Rebased. Actually can't find any performance regressions. Will run some more

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mlubin commented Dec 2, 2015

Hard to tell if there are regressions, but nothing's off by an order of magnitude so I'd say this approach is good enough.

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What were you using to benchmark?

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mlubin commented Dec 2, 2015

speed2.jl and JuMPSupplement/fac

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I'll finish this up in the next few days then

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Not seeing any difference on speed2.jl:

❯ julia4 test/perf/speed2.jl                                                                         JuMP/git/master
PMEDIAN BUILD MIN=0.468367465  MED=0.652082128
PMEDIAN INTRN MIN=0.314920262  MED=0.486272797
CONT5 BUILD   MIN=0.159429089  MED=0.356850123
CONT5 INTRN   MIN=0.435674333  MED=0.516218169

❯ julia4 test/perf/speed2.jl                                                            JuMP/git/JuMPArray-part-deux
PMEDIAN BUILD MIN=0.462158111  MED=0.650677796
PMEDIAN INTRN MIN=0.304085614  MED=0.495764506
CONT5 BUILD   MIN=0.183902944  MED=0.365850971
CONT5 INTRN   MIN=0.444689581  MED=0.506748362

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fac:

master
------
25: 5.85
50: 7.52
100: 31.69

PR
------
25: 6.01
50: 7.42
100: 29.08

@joehuchette joehuchette changed the title Reimplement dormant JuMPArray to work with any cartesian product index sets [RFC] Reimplement dormant JuMPArray to work with any cartesian product index sets Dec 2, 2015
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RFC now

@@ -5,67 +5,79 @@

# This code is unused for now. See issue #192
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Update this comment?

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lol

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mlubin commented Dec 3, 2015

I like the code reduction.

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IainNZ commented Dec 3, 2015

I'll review today

@@ -69,105 +68,16 @@ Base.isempty(d::JuMPContainer) = isempty(_innercontainer(d))
# 0:K -- range with compile-time starting index
# S -- general iterable set
export @gendict
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Can we un-export this?

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There's no reason this needs to be a macro as opposed to a function AFAICT

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Shouldn't be exported, yeah

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IainNZ commented Dec 4, 2015

LGTM, will need to work through it closer to understand everything exactly but should at least start trying it out

joehuchette added a commit that referenced this pull request Dec 6, 2015
[RFC] Reimplement dormant JuMPArray to work with any cartesian product index sets
@joehuchette joehuchette merged commit a274eb5 into master Dec 6, 2015
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mlubin commented Dec 6, 2015

💯

@mlubin mlubin deleted the JuMPArray-part-deux branch February 6, 2017 16:20
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