|
| 1 | +#= |
| 2 | +
|
| 3 | +Let's have a look at the example of broadcasting addition with a vector. |
| 4 | +
|
| 5 | +@less broadcast(+, [1,2,3], 1) |
| 6 | +=== |
| 7 | +broadcast(f::Tf, As...) where {Tf} = materialize(broadcasted(f, As...)) |
| 8 | +
|
| 9 | +
|
| 10 | +@less Base.broadcasted(+, [1,2,3], 1) |
| 11 | +=== |
| 12 | +@inline function broadcasted(f, arg1, arg2, args...) |
| 13 | + arg1′ = broadcastable(arg1) |
| 14 | + arg2′ = broadcastable(arg2) |
| 15 | + args′ = map(broadcastable, args) |
| 16 | + broadcasted(combine_styles(arg1′, arg2′, args′...), f, arg1′, arg2′, args′...) |
| 17 | +end |
| 18 | +@inline broadcasted(::S, f, args...) where S<:BroadcastStyle = Broadcasted{S}(f, args) |
| 19 | +
|
| 20 | +bc = Base.broadcasted(Base.Broadcast.combine_styles(arg1, arg2), +, arg1, arg2) |
| 21 | +Base.Broadcast.Broadcasted(+, ([1, 2, 3], 1)) |
| 22 | +
|
| 23 | +typeof(bc) |
| 24 | +Base.Broadcast.Broadcasted{Base.Broadcast.DefaultArrayStyle{1}, Nothing, typeof(+), Tuple{Vector{Int64}, Int64}} |
| 25 | +
|
| 26 | +
|
| 27 | +@less Base.Broadcast.Broadcasted{Base.Broadcast.DefaultArrayStyle{1}}(+, (arg1, arg2)) |
| 28 | +=== |
| 29 | +function Broadcasted{Style}(f::F, args::Args, axes=nothing) where {Style, F, Args<:Tuple} |
| 30 | + # using Core.Typeof rather than F preserves inferrability when f is a type |
| 31 | + Broadcasted{Style, typeof(axes), Core.Typeof(f), Args}(f, args, axes) |
| 32 | +end |
| 33 | +
|
| 34 | +
|
| 35 | +@less materialize(bc) |
| 36 | +=== |
| 37 | +@inline materialize(bc::Broadcasted) = copy(instantiate(bc)) |
| 38 | +materialize(x) = x |
| 39 | +
|
| 40 | +
|
| 41 | +@less Base.Broadcast.instantiate(bc) |
| 42 | +=== |
| 43 | +@inline function instantiate(bc::Broadcasted{Style}) where {Style} |
| 44 | + if bc.axes isa Nothing # Not done via dispatch to make it easier to extend instantiate(::Broadcasted{Style}) |
| 45 | + axes = combine_axes(bc.args...) |
| 46 | + else |
| 47 | + axes = bc.axes |
| 48 | + check_broadcast_axes(axes, bc.args...) |
| 49 | + end |
| 50 | + return Broadcasted{Style}(bc.f, bc.args, axes) |
| 51 | +end |
| 52 | +
|
| 53 | +
|
| 54 | +@less Base.Broadcast.combine_axes(bc.args...) |
| 55 | +=== |
| 56 | +@inline combine_axes(A, B...) = broadcast_shape(axes(A), combine_axes(B...)) |
| 57 | +@inline combine_axes(A, B) = broadcast_shape(axes(A), axes(B)) |
| 58 | +
|
| 59 | +
|
| 60 | +@less @less Base.Broadcast.broadcast_shape(axes([1,2,3]), axes(1)) |
| 61 | +=== |
| 62 | +broadcast_shape(shape::Tuple) = shape |
| 63 | +broadcast_shape(shape::Tuple, shape1::Tuple, shapes::Tuple...) = broadcast_shape(_bcs(shape, shape1), shapes...) |
| 64 | +
|
| 65 | +
|
| 66 | +@less Base.Broadcast._bcs(axes([1,2,3]), axes(1)) |
| 67 | +=== |
| 68 | +_bcs(shape::Tuple, ::Tuple{}) = (shape[1], _bcs(tail(shape), ())...) |
| 69 | +
|
| 70 | +_bcs consolidates two shapes into a single output shape |
| 71 | +
|
| 72 | +shape = axes([1,2,3]) |
| 73 | +@less Base.Broadcast._bcs(Base.tail(shape), ()) |
| 74 | +=== |
| 75 | +_bcs(::Tuple{}, ::Tuple{}) = () |
| 76 | +() |
| 77 | +
|
| 78 | +(shape[1], _bcs(tail(shape), ())...) |
| 79 | +
|
| 80 | +
|
| 81 | +@less copy(Base.Broadcast.instantiate(bc)) |
| 82 | +=== |
| 83 | +@inline function copy(bc::Broadcasted{Style}) where {Style} |
| 84 | + ElType = combine_eltypes(bc.f, bc.args) |
| 85 | + if Base.isconcretetype(ElType) |
| 86 | + # We can trust it and defer to the simpler `copyto!` |
| 87 | + return copyto!(similar(bc, ElType), bc) |
| 88 | + end |
| 89 | + # When ElType is not concrete, use narrowing. Use the first output |
| 90 | + # value to determine the starting output eltype; copyto_nonleaf! |
| 91 | + # will widen `dest` as needed to accommodate later values. |
| 92 | + bc′ = preprocess(nothing, bc) |
| 93 | + iter = eachindex(bc′) |
| 94 | + y = iterate(iter) |
| 95 | + if y === nothing |
| 96 | + # if empty, take the ElType at face value |
| 97 | + return similar(bc′, ElType) |
| 98 | + end |
| 99 | + # Initialize using the first value |
| 100 | + I, state = y |
| 101 | + @inbounds val = bc′[I] |
| 102 | + dest = similar(bc′, typeof(val)) |
| 103 | + @inbounds dest[I] = val |
| 104 | + # Now handle the remaining values |
| 105 | + # The typeassert gives inference a helping hand on the element type and dimensionality |
| 106 | + # (work-around for #28382) |
| 107 | + ElType′ = ElType === Union{} ? Any : ElType <: Type ? Type : ElType |
| 108 | + RT = dest isa AbstractArray ? AbstractArray{<:ElType′, ndims(dest)} : Any |
| 109 | + return copyto_nonleaf!(dest, bc′, iter, state, 1)::RT |
| 110 | +end |
| 111 | +
|
| 112 | +
|
| 113 | +@less Base.Broadcast.combine_eltypes(bc.f, bc.args) |
| 114 | +=== |
| 115 | +combine_eltypes(f, args::Tuple) = promote_typejoin_union(Base._return_type(f, eltypes(args))) |
| 116 | +
|
| 117 | +@less Base.Broadcast.eltypes(bc.args) |
| 118 | +
|
| 119 | +@less Base._return_type(+, Base.Broadcast.eltypes(bc.args)) |
| 120 | +
|
| 121 | +@less Base.Broadcast.promote_typejoin_union(Base._return_type(+, Base.Broadcast.eltypes(bc.args))) |
| 122 | +=== |
| 123 | +function promote_typejoin_union(::Type{T}) where T |
| 124 | + if T === Union{} |
| 125 | + return Union{} |
| 126 | + elseif T isa UnionAll |
| 127 | + return Any # TODO: compute more precise bounds |
| 128 | + elseif T isa Union |
| 129 | + return promote_typejoin(promote_typejoin_union(T.a), promote_typejoin_union(T.b)) |
| 130 | + elseif T <: Tuple |
| 131 | + return typejoin_union_tuple(T) |
| 132 | + else |
| 133 | + return T |
| 134 | + end |
| 135 | +end |
| 136 | +
|
| 137 | +
|
| 138 | +@less similar(bc, Base.Broadcast.combine_eltypes(bc.f, bc.args)) |
| 139 | +=== |
| 140 | +Base.similar(bc::Broadcasted, ::Type{T}) where {T} = similar(bc, T, axes(bc)) |
| 141 | +Base.similar(::Broadcasted{DefaultArrayStyle{N}}, ::Type{ElType}, dims) where {N,ElType} = similar(Array{ElType}, dims) |
| 142 | +Base.similar(::Broadcasted{DefaultArrayStyle{N}}, ::Type{Bool}, dims) where N = similar(BitArray, dims) |
| 143 | +
|
| 144 | +@less copyto!(similar(bc, Base.Broadcast.combine_eltypes(bc.f, bc.args)), bc) |
| 145 | +
|
| 146 | +
|
| 147 | +
|
| 148 | +=# |
| 149 | + |
| 150 | +Base.broadcastable(x::BioSequence) = x |
| 151 | + |
| 152 | + |
| 153 | + |
| 154 | + |
| 155 | + |
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