JuliaArrays / JuliaArrays/BlockArrays.jl

Multiplication of ComplexF64 and Float64 blocked matrices does not dispatch to BLAS

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Dominant language
Julia
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Description

The following leads to extremely long execution times:


using BlockArrays
A = BlockedArray(rand(ComplexF64, 5000, 5000), [2000,2000,1000], [2000,2000,1000])
B = BlockedArray(rand(Float64, 5000, 2000), [2000,2000,1000], [2000])
C = complex(B)

@time A * B
@time A * C

The latter finishes in 1.7 seconds, whereas the first (mixed realness) takes more than 100 times longer.

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Research direction

Start with the provided BlockedArray reproduction and compare the A * B and A * C timings. Trace the blocked matrix multiplication dispatch to identify why mixed ComplexF64 and Float64 inputs avoid BLAS; done when the mixed-realness case dispatches appropriately and no longer has the reported severe slowdown.

Written by the indexing model from the issue text.

Assessment

Tech stack
julia
Domain
performance
Issue type
Bug
Difficulty
4/5
Estimated time
3-5 days
Activity status
Stale
Clarity
Mostly clear
Newbie friendliness
52/100

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