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Let muladd accept arrays #37065

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merged 7 commits into from
Oct 29, 2020
Merged

Let muladd accept arrays #37065

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805eae9
muladd for arrays
Aug 16, 2020
7d0d91a
docstring
Aug 25, 2020
749e953
treat adjoints etc, and add tests
Sep 27, 2020
fc0ca88
remember to save before committing
Sep 27, 2020
191f61d
always use eltype, and add one test
Oct 6, 2020
69a3546
use ndims(number)==0, and add array-of-array tests
Oct 6, 2020
6456bf5
better wording
Oct 9, 2020
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treat adjoints etc, and add tests
  • Loading branch information
Michael Abbott committed Oct 5, 2020
commit 749e953269fb7227754e20d0583befba120c3c49
33 changes: 26 additions & 7 deletions stdlib/LinearAlgebra/src/matmul.jl
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Original file line number Diff line number Diff line change
Expand Up @@ -202,18 +202,37 @@ julia> muladd(A, B, C)
107.0 107.0
```
"""
function Base.muladd(A::AbstractMatrix{TA}, y::AbstractVector{Ty}, z::AbstractVector{Tz}) where {TA, Ty, Tz}
T = promote_type(TA, Ty, Tz)
C = similar(A, T, size(A,1))
function Base.muladd(A::AbstractMatrix{TA}, y::AbstractVector{Ty}, z) where {TA, Ty}
T = promote_type(TA, Ty, z isa AbstractArray ? eltype(z) : typeof(z))
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C = similar(A, T, axes(A,1))
C .= z
mul!(C, A, y, true, true)
end

function Base.muladd(A::AbstractMatrix{TA}, y::AbstractMatrix{Ty}, z::AbstractVecOrMat{Tz}) where {TA, Ty, Tz}
T = promote_type(TA, Ty, Tz)
C = similar(A, T, size(A,1), size(y,2))
function Base.muladd(A::AbstractMatrix{TA}, B::AbstractMatrix{TB}, z) where {TA, TB}
T = promote_type(TA, TB, z isa AbstractArray ? eltype(z) : typeof(z))
C = similar(A, T, axes(A,1), axes(B,2))
C .= z
mul!(C, A, y, true, true)
mul!(C, A, B, true, true)
end

Base.muladd(x::AdjointAbsVec, A::AbstractMatrix, z) = muladd(A', x', z')'
Base.muladd(x::TransposeAbsVec, A::AbstractMatrix, z) = transpose(muladd(transpose(A), transpose(x), transpose(z)))

function Base.muladd(u::AbstractVector, v::AdjOrTransAbsVec, z)
if z isa AbstractArray
ndims(z) > 2 && throw(DimensionMismatch("cannot broadcast array to have fewer dimensions"))
end
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(u .* v) .+ z
end

function Base.muladd(u::AdjOrTransAbsVec, v::AbstractVector, z)
uv = _dot_nonrecursive(u, v)
if z isa AbstractArray
uv isa AbstractArray && ndims(uv) <= ndims(z) ||
throw(DimensionMismatch("cannot broadcast array to have fewer dimensions"))
end
uv .+ z
end

"""
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30 changes: 30 additions & 0 deletions stdlib/LinearAlgebra/test/matmul.jl
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Expand Up @@ -292,6 +292,36 @@ end
end
end

@testset "muladd" begin
A23 = reshape(1:6, 2,3)
B34 = reshape(1:12, 3,4) .+ im
u2 = [10,20]
v3 = [3,5,7] .+ im
w4 = [11,13,17,19im]

@test muladd(A23, B34, 100) == A23 * B34 .+ 100
@test muladd(A23, B34, u2) == A23 * B34 .+ u2
@test muladd(A23, B34, w4') == A23 * B34 .+ w4'
@test_throws DimensionMismatch muladd(B34, A23, 1)
@test_throws DimensionMismatch muladd(A23, B34, ones(2,4,1))

@test muladd(A23, v3, 100) == A23 * v3 .+ 100
@test muladd(A23, v3, u2) == A23 * v3 .+ u2
@test_throws DimensionMismatch muladd(A23, v3, ones(2,2))

@test muladd(v3', B34, 0) isa Adjoint
@test muladd(v3', B34, 2im) == v3' * B34 .+ 2im
@test muladd(v3', B34, w4') == v3' * B34 .+ w4'

@test muladd(u2, v3', 0) isa Matrix
@test muladd(u2, v3', 99) == u2 * v3' .+ 99
@test muladd(u2, v3', A23) == u2 * v3' .+ A23

@test muladd(u2', u2, 0) isa Number
@test muladd(v3', v3, im) == dot(v3,v3) + im
@test_throws DimensionMismatch muladd(v3', v3, [1])
end

# issue #6450
@test dot(Any[1.0,2.0], Any[3.5,4.5]) === 12.5

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