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Optimize real matrix * complex matrix by using real matmul #44074

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merged 3 commits into from Feb 8, 2022
Merged

Optimize real matrix * complex matrix by using real matmul #44074

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98791b1
Optimize real matrix * complex matrix by using real matmul
jishnub Feb 8, 2022
3364366
Broadcast Complex instead of +
jishnub Feb 8, 2022
84375b2
reduce allocations
jishnub Feb 8, 2022
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9 changes: 5 additions & 4 deletions stdlib/LinearAlgebra/src/matmul.jl
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Expand Up @@ -175,10 +175,11 @@ function (*)(A::AdjOrTransStridedMat{<:BlasComplex}, B::StridedMaybeAdjOrTransMa
end
# the following case doesn't seem to benefit from the translation A*B = (B' * A')'
function (*)(A::StridedMatrix{<:BlasReal}, B::StridedMatrix{<:BlasComplex})
TS = promote_type(eltype(A), eltype(B))
mul!(similar(B, TS, (size(A, 1), size(B, 2))),
convert(AbstractArray{TS}, A),
convert(AbstractArray{TS}, B))
temp = real(B)
R = A * temp
temp .= imag.(B)
I = A * temp
Complex.(R, I)
end
(*)(A::AdjOrTransStridedMat{<:BlasReal}, B::StridedMatrix{<:BlasComplex}) = copy(transpose(transpose(B) * parent(A)))
(*)(A::StridedMaybeAdjOrTransMat{<:BlasReal}, B::AdjOrTransStridedMat{<:BlasComplex}) = copy(wrapperop(B)(parent(B) * transpose(A)))
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