broadcast.jl

# This file is a part of Julia. License is MIT: https://julialang.org/license

using Test, Random

module TestBroadcastInternals

using Base.Broadcast: check_broadcast_axes, check_broadcast_shape, newindex, _bcs
using Base: OneTo
using Test, Random

@test @inferred(_bcs((3,5), (3,5))) == (3,5)
@test @inferred(_bcs((3,1), (3,5))) == (3,5)
@test @inferred(_bcs((3,),  (3,5))) == (3,5)
@test @inferred(_bcs((3,5), (3,)))  == (3,5)
@test_throws DimensionMismatch _bcs((3,5), (4,5))
@test_throws DimensionMismatch _bcs((3,5), (3,4))
@test @inferred(_bcs((-1:1, 2:5), (-1:1, 2:5))) == (-1:1, 2:5)
@test @inferred(_bcs((-1:1, 2:5), (1, 2:5)))    == (-1:1, 2:5)
@test @inferred(_bcs((-1:1, 1),   (1, 2:5)))    == (-1:1, 2:5)
@test @inferred(_bcs((-1:1,),     (-1:1, 2:5))) == (-1:1, 2:5)
@test_throws DimensionMismatch _bcs((-1:1, 2:6), (-1:1, 2:5))
@test_throws DimensionMismatch _bcs((-1:1, 2:5), (2, 2:5))

@test @inferred(Broadcast.combine_axes(zeros(3,4), zeros(3,4))) == (OneTo(3),OneTo(4))
@test @inferred(Broadcast.combine_axes(zeros(3,4), zeros(3)))   == (OneTo(3),OneTo(4))
@test @inferred(Broadcast.combine_axes(zeros(3),   zeros(3,4))) == (OneTo(3),OneTo(4))
@test @inferred(Broadcast.combine_axes(zeros(3), zeros(1,4), zeros(1))) == (OneTo(3),OneTo(4))

check_broadcast_axes((OneTo(3),OneTo(5)), zeros(3,5))
check_broadcast_axes((OneTo(3),OneTo(5)), zeros(3,1))
check_broadcast_axes((OneTo(3),OneTo(5)), zeros(3))
check_broadcast_axes((OneTo(3),OneTo(5)), zeros(3,5), zeros(3))
check_broadcast_axes((OneTo(3),OneTo(5)), zeros(3,5), 1)
check_broadcast_axes((OneTo(3),OneTo(5)), 5, 2)
@test_throws DimensionMismatch check_broadcast_axes((OneTo(3),OneTo(5)), zeros(2,5))
@test_throws DimensionMismatch check_broadcast_axes((OneTo(3),OneTo(5)), zeros(3,4))
@test_throws DimensionMismatch check_broadcast_axes((OneTo(3),OneTo(5)), zeros(3,4,2))
@test_throws DimensionMismatch check_broadcast_axes((OneTo(3),OneTo(5)), zeros(3,5), zeros(2))
check_broadcast_axes((-1:1, 6:9), 1)

check_broadcast_shape((-1:1, 6:9), (-1:1, 6:9))
check_broadcast_shape((-1:1, 6:9), (-1:1, 1))
check_broadcast_shape((-1:1, 6:9), (1, 6:9))
@test_throws DimensionMismatch check_broadcast_shape((-1:1, 6:9), (-1, 6:9))
@test_throws DimensionMismatch check_broadcast_shape((-1:1, 6:9), (-1:1, 6))

ci(x) = CartesianIndex(x)
@test @inferred(newindex(ci((2,2)), (true, true), (-1,-1)))   == ci((2,2))
@test @inferred(newindex(ci((2,2)), (true, false), (-1,-1)))  == ci((2,-1))
@test @inferred(newindex(ci((2,2)), (false, true), (-1,-1)))  == ci((-1,2))
@test @inferred(newindex(ci((2,2)), (false, false), (-1,-1))) == ci((-1,-1))
@test @inferred(newindex(ci((2,2)), (true,), (-1,-1)))   == ci((2,))
@test @inferred(newindex(ci((2,2)), (true,), (-1,)))   == ci((2,))
@test @inferred(newindex(ci((2,2)), (false,), (-1,))) == ci((-1,))
@test @inferred(newindex(ci((2,2)), (), ())) == ci(())

end

function as_sub(x::AbstractVector)
    y = similar(x, eltype(x), tuple(([size(x)...]*2)...))
    y = view(y, 2:2:length(y))
    y[:] = x[:]
    y
end
function as_sub(x::AbstractMatrix)
    y = similar(x, eltype(x), tuple(([size(x)...]*2)...))
    y = view(y, 2:2:size(y,1), 2:2:size(y,2))
    for j=1:size(x,2)
        for i=1:size(x,1)
            y[i,j] = x[i,j]
        end
    end
    y
end
function as_sub(x::AbstractArray{T,3}) where T
    y = similar(x, eltype(x), tuple(([size(x)...]*2)...))
    y = view(y, 2:2:size(y,1), 2:2:size(y,2), 2:2:size(y,3))
    for k=1:size(x,3)
        for j=1:size(x,2)
            for i=1:size(x,1)
                y[i,j,k] = x[i,j,k]
            end
        end
    end
    y
end

bittest(f::Function, a...) = (@test f.(a...) == BitArray(broadcast(f, a...)))
n1 = 21
n2 = 32
n3 = 17
rb = 1:5

for arr in (identity, as_sub)
    @test broadcast(+, arr([1 0; 0 1]), arr([1, 4])) == [2 1; 4 5]
    @test broadcast(+, arr([1 0; 0 1]), arr([1  4])) == [2 4; 1 5]
    @test broadcast(+, arr([1  0]), arr([1, 4])) == [2 1; 5 4]
    @test broadcast(+, arr([1, 0]), arr([1  4])) == [2 5; 1 4]
    @test broadcast(+, arr([1, 0]), arr([1, 4])) == [2, 4]
    @test broadcast(+, arr([1, 0]), 2) == [3, 2]

    @test @inferred(broadcast(+, arr([1 0; 0 1]), arr([1, 4]))) == arr([2 1; 4 5])
    @test arr([1 0; 0 1]) .+ arr([1  4]) == arr([2 4; 1 5])
    @test arr([1  0]) .+ arr([1, 4]) == arr([2 1; 5 4])
    @test arr([1, 0]) .+ arr([1  4]) == arr([2 5; 1 4])
    @test arr([1, 0]) .+ arr([1, 4]) == arr([2, 4])
    @test arr([1]) .+ arr([]) == arr([])

    A = arr([1 0; 0 1]); @test broadcast!(+, A, A, arr([1, 4])) == arr([2 1; 4 5])
    A = arr([1 0; 0 1]); @test broadcast!(+, A, A, arr([1  4])) == arr([2 4; 1 5])
    A = arr([1  0]); @test_throws DimensionMismatch broadcast!(+, A, A, arr([1, 4]))
    A = arr([1  0]); @test broadcast!(+, A, A, arr([1  4])) == arr([2 4])
    A = arr([1  0]); @test broadcast!(+, A, A, 2) == arr([3 2])

    @test arr([ 1    2])   .* arr([3,   4])   == [ 3 6; 4 8]
    @test arr([24.0 12.0]) ./ arr([2.0, 3.0]) == [12 6; 8 4]
    @test arr([1 2]) ./ arr([3, 4]) == [1/3 2/3; 1/4 2/4]
    @test arr([1 2]) .\ arr([3, 4]) == [3 1.5; 4 2]
    @test arr([3 4]) .^ arr([1, 2]) == [3 4; 9 16]
    @test arr(BitArray([true false])) .* arr(BitArray([true, true])) == [true false; true false]
    @test arr(BitArray([true false])) .^ arr(BitArray([false, true])) == [true true; true false]
    @test arr(BitArray([true false])) .^ arr([0, 3]) == [true true; true false]

    M = arr([11 12; 21 22])
    @test getindex.((M,), [2 1; 1 2], arr([1, 2])) == [21 11; 12 22]
    @test_throws BoundsError getindex.((M,), [2 1; 1 2], arr([1, -1]))
    @test_throws BoundsError getindex.((M,), [2 1; 1 2], arr([1, 2]), [2])
    @test getindex.((M,), [2 1; 1 2],arr([2, 1]), [1]) == [22 12; 11 21]

    A = arr(zeros(2,2))
    setindex!.((A,), arr([21 11; 12 22]), [2 1; 1 2], arr([1, 2]))
    @test A == M
    setindex!.((A,), 5, [1,2], [2 2])
    @test A == [11 5; 21 5]
    setindex!.((A,), 7, [1,2], [1 2])
    @test A == fill(7, 2, 2)
    A = arr(zeros(3,3))
    setindex!.((A,), 10:12, 1:3, 1:3)
    @test A == [10 0 0; 0 11 0; 0 0 12]
    @test_throws BoundsError setindex!.((A,), 7, [1,-1], [1 2])

    for f in ((==), (<) , (!=), (<=))
        bittest(f, arr([1 0; 0 1]), arr([1, 4]))
        bittest(f, arr([1 0; 0 1]), arr([1  4]))
        bittest(f, arr([0, 1]), arr([1  4]))
        bittest(f, arr([0  1]), arr([1, 4]))
        bittest(f, arr([1, 0]), arr([1, 4]))
        bittest(f, arr(rand(rb, n1, n2, n3)), arr(rand(rb, n1, n2, n3)))
        bittest(f, arr(rand(rb,  1, n2, n3)), arr(rand(rb, n1,  1, n3)))
        bittest(f, arr(rand(rb,  1, n2,  1)), arr(rand(rb, n1,  1, n3)))
        bittest(f, arr(bitrand(n1, n2, n3)), arr(bitrand(n1, n2, n3)))
    end
end

r1 = 1:1
r2 = 1:5
ratio = [1,1/2,1/3,1/4,1/5]
@test r1.*r2 == [1:5;]
@test r1./r2 == ratio
m = [1:2;]'
@test m.*r2 == [1:5 2:2:10]
@test m./r2 ≈ [ratio 2ratio]
@test m./[r2;] ≈ [ratio 2ratio]

@test @inferred(broadcast(+,[0,1.2],reshape([0,-2],1,1,2))) == reshape([0 -2; 1.2 -0.8],2,1,2)
rt = Base.return_types(broadcast, Tuple{typeof(+), Array{Float64, 3}, Array{Int, 1}})
@test length(rt) == 1 && rt[1] == Array{Float64, 3}
rt = Base.return_types(broadcast!, Tuple{Function, Array{Float64, 3}, Array{Float64, 3}, Array{Int, 1}})
@test length(rt) == 1 && rt[1] == Array{Float64, 3}

# f.(args...) syntax (#15032)
let x = [1, 3.2, 4.7],
    y = [3.5, pi, 1e-4],
    α = 0.2342
    @test sin.(x) == broadcast(sin, x)
    @test sin.(α) == broadcast(sin, α)
    @test sin.(3.2) == broadcast(sin, 3.2) == sin(3.2)
    @test factorial.(3) == broadcast(factorial, 3)
    @test atan.(x, y) == broadcast(atan, x, y)
    @test atan.(x, y') == broadcast(atan, x, y')
    @test atan.(x, α) == broadcast(atan, x, α)
    @test atan.(α, y') == broadcast(atan, α, y')
end

# issue 14725
let a = Number[2, 2.0, 4//2, 2+0im] / 2
    @test eltype(a) == Number
end
let a = Real[2, 2.0, 4//2] / 2
    @test eltype(a) == Real
end
let a = Real[2, 2.0, 4//2] / 2.0
    @test eltype(a) == Float64
end

# issue 16164
let a = broadcast(Float32, [3, 4, 5])
    @test eltype(a) == Float32
end

# broadcasting scalars:
@test sin.(1) === broadcast(sin, 1) === sin(1)
@test (()->1234).() === broadcast(()->1234) === 1234

# issue #4883
@test isa(broadcast(tuple, [1 2 3], ["a", "b", "c"]), Matrix{Tuple{Int,String}})
@test isa(broadcast((x,y)->(x==1 ? 1.0 : x, y), [1 2 3], ["a", "b", "c"]), Matrix{Tuple{Real,String}})
let a = length.(["foo", "bar"])
    @test isa(a, Vector{Int})
    @test a == [3, 3]
end
let a = sin.([1, 2])
    @test isa(a, Vector{Float64})
    @test a ≈ [0.8414709848078965, 0.9092974268256817]
end

# PR #17300: loop fusion
@test (x->x+1).((x->x+2).((x->x+3).(1:10))) == 7:16
let A = [sqrt(i)+j for i = 1:3, j=1:4]
    @test atan.(log.(A), sum(A, dims=1)) == broadcast(atan, broadcast(log, A), sum(A, dims=1))
end
let x = sin.(1:10)
    @test atan.((x->x+1).(x), (x->x+2).(x)) == broadcast(atan, x.+1, x.+2)
    @test sin.(atan.([x.+1,x.+2]...)) == sin.(atan.(x.+1 ,x.+2)) == @. sin(atan(x+1,x+2))
    @test sin.(atan.(x, 3.7)) == broadcast(x -> sin(atan(x,3.7)), x)
    @test atan.(x, 3.7) == broadcast(x -> atan(x,3.7), x) == broadcast(atan, x, 3.7)
end
# Use side effects to check for loop fusion.
let g = Int[]
    f17300(x) = begin; push!(g, x); x+2; end
    f17300.(f17300.(f17300.(1:3)))
    @test g == [1,3,5, 2,4,6, 3,5,7]
    empty!(g)
    @. f17300(f17300(f17300(1:3)))
    @test g == [1,3,5, 2,4,6, 3,5,7]
end
# fusion with splatted args:
let x = sin.(1:10), a = [x]
    @test cos.(x) == cos.(a...)
    @test atan.(x,x) == atan.(a..., a...) == atan.([x, x]...)
    @test atan.(x, cos.(x)) == atan.(a..., cos.(x)) == broadcast(atan, x, cos.(a...)) == broadcast(atan, a..., cos.(a...))
    @test ((args...)->cos(args[1])).(x) == cos.(x) == ((y,args...)->cos(y)).(x)
end
@test atan.(3, 4) == atan(3, 4) == (() -> atan(3, 4)).()
# fusion with keyword args:
let x = [1:4;]
    f17300kw(x; y=0) = x + y
    @test f17300kw.(x) == x
    @test f17300kw.(x, y=1) == f17300kw.(x; y=1) == f17300kw.(x; [(:y,1)]...) == x .+ 1 == [2, 3, 4, 5]
    @test f17300kw.(sin.(x), y=1) == f17300kw.(sin.(x); y=1) == sin.(x) .+ 1
    @test sin.(f17300kw.(x, y=1)) == sin.(f17300kw.(x; y=1)) == sin.(x .+ 1)
end

# issue #23236
let X = [[true,false],[false,true]]
    @test [.!x for x in X] == [[false,true],[true,false]]
end

# splice escaping of @.
let x = [4, -9, 1, -16]
    @test [2, 3, 4, 5] == @.(1 + sqrt($sort(abs(x))))
end

# interaction of @. with let
@test [1,4,9] == @. let x = [1,2,3]; x^2; end

# interaction of @. with for loops
let x = [1,2,3], y = x
    @. for i = 1:3
        y = y^2 # should convert to y .= y.^2
    end
    @test x == [1,256,6561]
end

# interaction of @. with function definitions
let x = [1,2,3]
    @. f(x) = x^2
    @test f(x) == [1,4,9]
end

# Issue #23622: @. with chained comparisons
let x = [1,2,3]
    @test (1 .< x .< 3) == @.(1 < x < 3) == (@. 1 .< x .< 3) == [false, true, false]
    @test (x .=== 1:3 .=== [1,2,3]) == @.(x === 1:3 === [1,2,3]) == [true, true, true]
end

# PR #17510: Fused in-place assignment
let x = [1:4;], y = x
    y .= 2:5
    @test y === x == [2:5;]
    y .= factorial.(x)
    @test y === x == [2,6,24,120]
    y .= 7
    @test y === x == [7,7,7,7]
    y .= factorial.(3)
    @test y === x == [6,6,6,6]
    f17510() = 9
    y .= f17510.()
    @test y === x == [9,9,9,9]
    y .-= 1
    @test y === x == [8,8,8,8]
    @. y -= 1:4          # @. should convert to .-=
    @test y === x == [7,6,5,4]
    x[1:2] .= 1
    @test y === x == [1,1,5,4]
    @. x[1:2] .+= [2,3]  # use .+= to make sure @. works with dotted assignment
    @test y === x == [3,4,5,4]
    @. x[:] .= 0         # use .= to make sure @. works with dotted assignment
    @test y === x == [0,0,0,0]
    @. x[2:end] = 1:3    # @. should convert to .=
    @test y === x == [0,1,2,3]
end
let a = [[4, 5], [6, 7]]
    a[1] .= 3
    @test a == [[3, 3], [6, 7]]
end
let d = Dict(:foo => [1,3,7], (3,4) => [5,9])
    d[:foo] .+= 2
    @test d[:foo] == [3,5,9]
    d[3,4] .-= 1
    @test d[3,4] == [4,8]
end
let identity = error, x = [1,2,3]
    x .= 1 # make sure it goes to broadcast!(Base.identity, ...), not identity
    @test x == [1,1,1]
end

# make sure scalars are inlined, which causes f.(x,scalar) to lower to a "thunk"
import Base.Meta: isexpr
@test isexpr(Meta.lower(Main, :(f.(x,1))), :thunk)
@test isexpr(Meta.lower(Main, :(f.(x,1.0))), :thunk)
@test isexpr(Meta.lower(Main, :(f.(x,$π))), :thunk)
@test isexpr(Meta.lower(Main, :(f.(x,"hello"))), :thunk)
@test isexpr(Meta.lower(Main, :(f.(x,$("hello")))), :thunk)

# PR #17623: Fused binary operators
@test [true] .* [true] == [true]
@test [1,2,3] .|> (x->x+1) == [2,3,4]
let g = Int[], ⊕ = (a,b) -> let c=a+2b; push!(g, c); c; end
    @test [1,2,3] .⊕ [10,11,12] .⊕ [100,200,300] == [221,424,627]
    @test g == [21,221,24,424,27,627] # test for loop fusion
end

# Fused unary operators
@test .√[3,4,5] == sqrt.([3,4,5])
@test .![true, true, false] == [false, false, true]
@test .-[1,2,3] == -[1,2,3] == .+[-1,-2,-3] == [-1,-2,-3]

# PR 16988
@test Base.promote_op(+, Bool) === Int
@test isa(broadcast(+, [true]), Array{Int,1})

# issue #17304
let foo = [[1,2,3],[4,5,6],[7,8,9]]
    @test max.(foo...) == broadcast(max, foo...) == [7,8,9]
end

# Issue 17314
@test broadcast(x->log(log(log(x))), [1000]) == [log(log(log(1000)))]
let f17314 = x -> x < 0 ? false : x
    @test eltype(broadcast(f17314, 1:3)) === Int
    @test eltype(broadcast(f17314, -1:1)) === Integer
    @test eltype(broadcast(f17314, Int[])) == Union{Bool,Int}
end
let io = IOBuffer()
    broadcast(x->print(io,x), 1:5) # broadcast with side effects
    @test take!(io) == [0x31,0x32,0x33,0x34,0x35]
end

# Issue 18176
let f18176(a, b, c) = a + b + c
    @test f18176.(1.0:2, 3, 4) == f18176.(3.0, 1.0:2, 4.0) == broadcast(f18176, 3, 4, 1.0:2)
end

# Issue #17984
let A17984 = []
    @test isa(abs.(A17984), Array{Any,1})
end

# Issue #16966
@test parse.(Int, "1") == 1
@test parse.(Int, ["1", "2"]) == [1, 2]
@test trunc.((Int,), [1.2, 3.4]) == [1, 3]
@test abs.((1, -2)) == (1, 2)
@test broadcast(+, 1.0, (0, -2.0)) == (1.0,-1.0)
@test broadcast(+, 1.0, (0, -2.0), [1]) == [2.0, 0.0]
@test broadcast(*, ["Hello"], ", ", ["World"], "!") == ["Hello, World!"]
let s = "foo"
    @test s .* ["bar", "baz"] == ["foobar", "foobaz"] == "foo" .* ["bar", "baz"]
end

# Ensure that even strange constructors that break `T(x)::T` work with broadcast
struct StrangeType18623 end
StrangeType18623(x) = x
StrangeType18623(x,y) = (x,y)
@test @inferred(broadcast(StrangeType18623, 1:3)) == [1,2,3]
@test @inferred(broadcast(StrangeType18623, 1:3, 4:6)) == [(1,4),(2,5),(3,6)]

@test typeof(Int.(Number[1, 2, 3])) === typeof((x->Int(x)).(Number[1, 2, 3]))

@test @inferred(broadcast(CartesianIndex, 1:2)) == [CartesianIndex(1), CartesianIndex(2)]
@test @inferred(broadcast(CartesianIndex, 1:2, 3:4)) == [CartesianIndex(1,3), CartesianIndex(2,4)]

# Issue 18622
@test @inferred(broadcast(muladd, [1.0], [2.0], [3.0])) == [5.0]
@test @inferred(broadcast(tuple, 1:3, 4:6, 7:9)) == [(1,4,7), (2,5,8), (3,6,9)]

# 19419
@test @inferred(broadcast(round, Int, [1])) == [1]

# https://discourse.julialang.org/t/towards-broadcast-over-combinations-of-sparse-matrices-and-scalars/910
let
    f(A, n) = broadcast(x -> +(x, n), A)
    @test @inferred(f([1.0], 1)) == [2.0]
    g() = (a = 1; Broadcast.combine_eltypes(x -> x + a, (1.0,)))
    @test @inferred(g()) === Float64
end

# Ref as 0-dimensional array for broadcast
@test (-).(C_NULL, C_NULL)::UInt == 0
@test (+).(1, Ref(2)) == 3
@test (+).(Ref(1), Ref(2)) == 3
@test (+).([[0,2], [1,3]], Ref{Vector{Int}}([1,-1])) == [[1,1], [2,2]]

# Check that broadcast!(f, A) populates A via independent calls to f (#12277, #19722),
# and similarly for broadcast!(f, A, numbers...) (#19799).
@test let z = 1; A = broadcast!(() -> z += 1, zeros(2)); A[1] != A[2]; end
@test let z = 1; A = broadcast!(x -> z += x, zeros(2), 1); A[1] != A[2]; end

## broadcasting for custom AbstractArray
abstract type ArrayData{T,N} <: AbstractArray{T,N} end
Base.getindex(A::ArrayData, i::Integer...) = A.data[i...]
Base.setindex!(A::ArrayData, v::Any, i::Integer...) = setindex!(A.data, v, i...)
Base.size(A::ArrayData) = size(A.data)
Base.similar(bc::Broadcast.Broadcasted{Broadcast.ArrayStyle{A}}, ::Type{T}) where {A,T} =
    A(Array{T}(undef, length.(axes(bc))))

struct Array19745{T,N} <: ArrayData{T,N}
    data::Array{T,N}
end
Base.BroadcastStyle(::Type{T}) where {T<:Array19745} = Broadcast.ArrayStyle{Array19745}()

# Two specialized broadcast rules with no declared precedence
struct AD1{T,N} <: ArrayData{T,N}
    data::Array{T,N}
end
Base.BroadcastStyle(::Type{T}) where {T<:AD1} = Broadcast.ArrayStyle{AD1}()
struct AD2{T,N} <: ArrayData{T,N}
    data::Array{T,N}
end
Base.BroadcastStyle(::Type{T}) where {T<:AD2} = Broadcast.ArrayStyle{AD2}()

# Two specialized broadcast rules with explicit precedence
struct AD1P{T,N} <: ArrayData{T,N}
    data::Array{T,N}
end
Base.BroadcastStyle(::Type{T}) where {T<:AD1P} = Broadcast.ArrayStyle{AD1P}()
struct AD2P{T,N} <: ArrayData{T,N}
    data::Array{T,N}
end
Base.BroadcastStyle(::Type{T}) where {T<:AD2P} = Broadcast.ArrayStyle{AD2P}()

Base.BroadcastStyle(a1::Broadcast.ArrayStyle{AD1P}, ::Broadcast.ArrayStyle{AD2P}) = a1

# Two specialized broadcast rules where users unnecessarily
# define `BroadcastStyle` for both argument orders (but do so consistently)
struct AD1B{T,N} <: ArrayData{T,N}
    data::Array{T,N}
end
Base.BroadcastStyle(::Type{T}) where {T<:AD1B} = Broadcast.ArrayStyle{AD1B}()
struct AD2B{T,N} <: ArrayData{T,N}
    data::Array{T,N}
end
Base.BroadcastStyle(::Type{T}) where {T<:AD2B} = Broadcast.ArrayStyle{AD2B}()

Base.BroadcastStyle(a1::Broadcast.ArrayStyle{AD1B}, a2::Broadcast.ArrayStyle{AD2B}) = a1
Base.BroadcastStyle(a2::Broadcast.ArrayStyle{AD2B}, a1::Broadcast.ArrayStyle{AD1B}) = a1

# Two specialized broadcast rules with conflicting precedence
struct AD1C{T,N} <: ArrayData{T,N}
    data::Array{T,N}
end
Base.BroadcastStyle(::Type{T}) where {T<:AD1C} = Broadcast.ArrayStyle{AD1C}()
struct AD2C{T,N} <: ArrayData{T,N}
    data::Array{T,N}
end
Base.BroadcastStyle(::Type{T}) where {T<:AD2C} = Broadcast.ArrayStyle{AD2C}()

Base.BroadcastStyle(a1::Broadcast.ArrayStyle{AD1C}, a2::Broadcast.ArrayStyle{AD2C}) = a1
Base.BroadcastStyle(a2::Broadcast.ArrayStyle{AD2C}, a1::Broadcast.ArrayStyle{AD1C}) = a2

# A Custom type with specific dimensionality
struct AD2Dim{T} <: ArrayData{T,2}
    data::Array{T,2}
end
struct AD2DimStyle <: Broadcast.AbstractArrayStyle{2}; end
AD2DimStyle(::Val{2}) = AD2DimStyle()
AD2DimStyle(::Val{N}) where {N} = Broadcast.DefaultArrayStyle{N}()
Base.similar(bc::Broadcast.Broadcasted{AD2DimStyle}, ::Type{T}) where {T} =
    AD2Dim(Array{T}(undef, length.(axes(bc))))
Base.BroadcastStyle(::Type{T}) where {T<:AD2Dim} = AD2DimStyle()

@testset "broadcasting for custom AbstractArray" begin
    a  = randn(10)
    aa = Array19745(a)
    fadd(aa) = aa .+ 1
    fadd2(aa) = aa .+ 1 .* 2
    fprod(aa) = aa .* aa'
    @test a .+ 1  == @inferred(fadd(aa))
    @test a .+ 1 .* 2  == @inferred(fadd2(aa))
    @test a .* a' == @inferred(fprod(aa))
    @test isa(aa .+ 1, Array19745)
    @test isa(aa .+ 1 .* 2, Array19745)
    @test isa(aa .* aa', Array19745)
    a1 = AD1(rand(2,3))
    a2 = AD2(rand(2))
    @test a1 .+ 1 isa AD1
    @test a2 .+ 1 isa AD2
    @test a1 .+ 1 .* 2 isa AD1
    @test a2 .+ 1 .* 2 isa AD2
    @test a1 .+ a2 isa Array
    @test a2 .+ a1 isa Array
    @test a1 .+ a2 .+ a1 isa Array
    @test a1 .+ a2 .+ a2 isa Array
    a1 = AD1P(rand(2,3))
    a2 = AD2P(rand(2))
    @test a1 .+ 1 isa AD1P
    @test a2 .+ 1 isa AD2P
    @test a1 .+ 1 .* 2 isa AD1P
    @test a2 .+ 1 .* 2 isa AD2P
    @test a1 .+ a2 isa AD1P
    @test a2 .+ a1 isa AD1P
    @test a1 .+ a2 .+ a1 isa AD1P
    @test a1 .+ a2 .+ a2 isa AD1P
    a1 = AD1B(rand(2,3))
    a2 = AD2B(rand(2))
    @test a1 .+ 1 isa AD1B
    @test a2 .+ 1 isa AD2B
    @test a1 .+ 1 .* 2 isa AD1B
    @test a2 .+ 1 .* 2 isa AD2B
    @test a1 .+ a2 isa AD1B
    @test a2 .+ a1 isa AD1B
    @test a1 .+ a2 .+ a1 isa AD1B
    @test a1 .+ a2 .+ a2 isa AD1B
    a1 = AD1C(rand(2,3))
    a2 = AD2C(rand(2))
    @test a1 .+ 1 isa AD1C
    @test a2 .+ 1 isa AD2C
    @test a1 .+ 1 .* 2 isa AD1C
    @test a2 .+ 1 .* 2 isa AD2C
    @test_throws ErrorException a1 .+ a2
    a2d = AD2Dim(rand(2, 3))
    a2 = AD2(rand(2))
    @test a2d .+ 1 isa AD2Dim
    @test a2d .+ a2 isa Matrix
    @test a2d .+ (1:2) isa AD2Dim
    @test a2d .+ ones(2, 3) isa AD2Dim
    @test a2d .+ ones(2, 3, 4) isa Array{Float64, 3}
end

# broadcast should only "peel off" one container layer
@test getindex.([Ref(1), Ref(2)]) == [1, 2]
let io = IOBuffer()
    broadcast(x -> print(io, x), [Ref(1.0)])
    @test String(take!(io)) == "Base.RefValue{Float64}(1.0)"
end

# Test that broadcast's promotion mechanism handles closures accepting more than one argument.
# (See issue #19641 and referenced issues and pull requests.)
let f() = (a = 1; Broadcast.combine_eltypes((x, y) -> x + y + a, (1.0, 1.0)))
    @test @inferred(f()) == Float64
end

@testset "broadcast resulting in BitArray" begin
    let f(x) = x ? true : "false"
        ba = f.([true])
        @test ba isa BitArray
        @test ba == [true]
        a = f.([false])
        @test a isa Array{String}
        @test a == ["false"]
        @test f.([true, false]) == [true, "false"]
    end
end

# Test that broadcast treats type arguments as scalars, i.e. containertype yields Any,
# even for subtypes of abstract array. (https://github.com/JuliaStats/DataArrays.jl/issues/229)
@testset "treat type arguments as scalars, DataArrays issue 229" begin
    @test Broadcast.combine_styles(Broadcast.broadcastable(AbstractArray)) == Base.Broadcast.DefaultArrayStyle{0}()
    @test broadcast(==, [1], AbstractArray) == BitArray([false])
    @test broadcast(==, 1, AbstractArray) == false
end

@testset "broadcasting falls back to iteration (issues #26421, #19577, #23746)" begin
    @test_throws ArgumentError broadcast(identity, Dict(1=>2))
    @test_throws ArgumentError broadcast(identity, (a=1, b=2))
    @test_throws ArgumentError length.(Dict(1 => BitSet(1:2), 2 => BitSet(1:3)))
    @test_throws MethodError broadcast(identity, Base)

    @test broadcast(identity, Iterators.filter(iseven, 1:10)) == 2:2:10
    d = Dict([1,2] => 1.1, [3,2] => 0.1)
    @test length.(keys(d)) == [2,2]
    @test Set(exp.(Set([1,2,3]))) == Set(exp.([1,2,3]))
end

# Test that broadcasting identity where the input and output Array shapes do not match
# yields the correct result, not merely a partial copy. See pull request #19895 for discussion.
let N = 5
    @test iszero(fill(1, N, N) .= zeros(N, N))
    @test iszero(fill(1, N, N) .= zeros(N, 1))
    @test iszero(fill(1, N, N) .= zeros(1, N))
    @test iszero(fill(1, N, N) .= zeros(1, 1))
end

@testset "test broadcast for matrix of matrices" begin
    A = fill([0 0; 0 0], 4, 4)
    A[1:3,1:3] .= [[1 1; 1 1]]
    @test all(A[1:3,1:3] .== [[1 1; 1 1]])
end

# Test that broadcast does not confuse eltypes. See also
# https://github.com/JuliaLang/julia/issues/21325
@testset "eltype confusion (#21325)" begin
    foo(x::Char, y::Int) = 0
    foo(x::String, y::Int) = "hello"
    @test broadcast(foo, "x", [1, 2, 3]) == ["hello", "hello", "hello"]

    @test isequal(
        [Set([1]), Set([2])] .∪ Ref(Set([3])),
        [Set([1, 3]), Set([2, 3])])
end

# A bare bones custom type that supports broadcast
struct Foo26601{T}
    data::T
end
Base.axes(f::Foo26601) = axes(f.data)
Base.getindex(f::Foo26601, i...) = getindex(f.data, i...)
Base.ndims(::Type{Foo26601{T}}) where {T} = ndims(T)
Base.Broadcast.broadcastable(f::Foo26601) = f
@testset "barebones custom object broadcasting" begin
    for d in (rand(Float64, ()), rand(5), rand(5,5), rand(5,5,5))
        f = Foo26601(d)
        @test f .* 2 == d .* 2
        @test f .* (1:5) == d .* (1:5)
        @test f .* reshape(1:25,5,5) == d .* reshape(1:25,5,5)
        @test sqrt.(f) == sqrt.(d)
        @test f .* (1,2,3,4,5) == d .* (1,2,3,4,5)
    end
end

@testset "broadcast resulting in tuples" begin
    # Issue #21291
    let t = (0, 1, 2)
        o = 1
        @test @inferred(broadcast(+, t, o)) == (1, 2, 3)
    end

    # Issue #23647
    @test (1, 2, 3) .+ (1,) == (1,) .+ (1, 2, 3) == (2, 3, 4)
    @test (1,) .+ () == () .+ (1,) == () .+ () == ()
    @test (1, 2) .+ (1, 2) == (2, 4)
    @test_throws DimensionMismatch (1, 2) .+ (1, 2, 3)
end

@testset "scalar .=" begin
    A = [[1,2,3],4:5,6]
    A[1] .= 0
    @test A[1] == [0,0,0]
    @test_throws ErrorException A[2] .= 0
    @test_throws MethodError A[3] .= 0
    A = [[1,2,3],4:5]
    A[1] .= 0
    @test A[1] == [0,0,0]
    @test_throws ErrorException A[2] .= 0
end

# Issue #22180
@test convert.(Any, [1, 2]) == [1, 2]

# Issue #24944
let n = 1
    @test ceil.(Int, n ./ (1,)) == (1,)
    @test ceil.(Int, 1 ./ (1,)) == (1,)
end


# lots of splatting!
let x = [[1, 4], [2, 5], [3, 6]]
    y = .+(x..., .*(x..., x...)..., x[1]..., x[2]..., x[3]...)
    @test y == [14463, 14472]

    z = zeros(2)
    z .= .+(x..., .*(x..., x...)..., x[1]..., x[2]..., x[3]...)
    @test z == Float64[14463, 14472]
end

# Issue #21094
@generated function foo21094(out, x)
    quote
        out .= x .+ x
        out
    end
end
@test foo21094([0.0], [1.0]) == [2.0]

# Issue #22053
struct T22053
    t
end
Broadcast.BroadcastStyle(::Type{T22053}) = Broadcast.Style{T22053}()
Broadcast.broadcast_axes(::T22053) = ()
Broadcast.broadcastable(t::T22053) = t
function Base.copy(bc::Broadcast.Broadcasted{Broadcast.Style{T22053}})
    all(x->isa(x, T22053), bc.args) && return 1
    return 0
end
Base.:*(::T22053, ::T22053) = 2
let x = T22053(1)
    @test x*x == 2
    @test x.*x == 1
end

# Issue https://github.com/JuliaLang/julia/pull/25377#discussion_r159956996
let X = Any[1,2]
    X .= nothing
    @test X[1] == X[2] == nothing
end

# Ensure that broadcast styles with custom indexing work
let X = zeros(2, 3)
    X .= (1, 2)
    @test X == [1 1 1; 2 2 2]
end

# issue #27988: inference of Broadcast.flatten
using .Broadcast: Broadcasted
let
    bc = Broadcasted(+, (Broadcasted(*, (1, 2)), Broadcasted(*, (Broadcasted(*, (3, 4)), 5))))
    @test @inferred(Broadcast.cat_nested(bc)) == (1,2,3,4,5)
    @test @inferred(Broadcast.materialize(Broadcast.flatten(bc))) == @inferred(Broadcast.materialize(bc)) == 62
    bc = Broadcasted(+, (Broadcasted(*, (1, Broadcasted(/, (2.0, 2.5)))), Broadcasted(*, (Broadcasted(*, (3, 4)), 5))))
    @test @inferred(Broadcast.cat_nested(bc)) == (1,2.0,2.5,3,4,5)
    @test @inferred(Broadcast.materialize(Broadcast.flatten(bc))) == @inferred(Broadcast.materialize(bc)) == 60.8
end

# Issue #26127: multiple splats in a fused dot-expression
let f(args...) = *(args...)
    x, y, z = (1,2), 3, (4, 5)
    @test f.(x..., y, z...) == broadcast(f, x..., y, z...) == 120
    @test f.(x..., f.(x..., y, z...), y, z...) == broadcast(f, x..., broadcast(f, x..., y, z...), y, z...) == 120*120
end

@testset "Issue #27911: Broadcasting over collections with big indices" begin
    @test iszero.(Int128(0):Int128(2)) == [true, false, false]
    @test iszero.((Int128(0):Int128(2)) .- 1) == [false, true, false]
    @test iszero.(big(0):big(2)) == [true, false, false]
    @test iszero.((big(0):big(2)) .- 1) == [false, true, false]
end

@testset "Issue #27775: Broadcast!ing over nested scalar operations" begin
    a = zeros(2)
    a .= 1 ./ (1 + 2)
    @test a == [1/3, 1/3]
    a .= 1 ./ (1 .+ 3)
    @test a == [1/4, 1/4]
    a .= sqrt.(1 ./ 2)
    @test a == [sqrt(1/2), sqrt(1/2)]
    rng = MersenneTwister(1234)
    a .= rand.((rng,))
    rng = MersenneTwister(1234)
    @test a == [rand(rng), rand(rng)]
    @test a[1] != a[2]
    rng = MersenneTwister(1234)
    broadcast!(rand, a, (rng,))
    rng = MersenneTwister(1234)
    @test a == [rand(rng), rand(rng)]
    @test a[1] != a[2]
end

# Issue #27446: Broadcasting pair operator
let
    c = ["foo", "bar"]
    d = [1,2]
    @test Dict(c .=> d) == Dict("foo" => 1, "bar" => 2)
end

# Broadcasted iterable/indexable APIs
let
    bc = Broadcast.instantiate(Broadcast.broadcasted(+, zeros(5), 5))
    @test eachindex(bc) === Base.OneTo(5)
    @test length(bc) === 5
    @test ndims(bc) === 1
    @test ndims(typeof(bc)) === 1
    @test bc[1] === bc[CartesianIndex((1,))] === 5.0
    @test copy(bc) == [v for v in bc] == collect(bc)
    @test eltype(copy(bc)) == eltype([v for v in bc]) == eltype(collect(bc))
    @test ndims(copy(bc)) == ndims([v for v in bc]) == ndims(collect(bc)) == ndims(bc)

    bc = Broadcast.instantiate(Broadcast.broadcasted(+, zeros(5), 5*ones(1, 4)))
    @test eachindex(bc) === CartesianIndices((Base.OneTo(5), Base.OneTo(4)))
    @test length(bc) === 20
    @test ndims(bc) === 2
    @test ndims(typeof(bc)) === 2
    @test bc[1,1] == bc[CartesianIndex((1,1))] === 5.0
    @test copy(bc) == [v for v in bc] == collect(bc)
    @test eltype(copy(bc)) == eltype([v for v in bc]) == eltype(collect(bc))
    @test ndims(copy(bc)) == ndims([v for v in bc]) == ndims(collect(bc)) == ndims(bc)
end