Define real and imag

[ogauthe]

This PR defines real and imag for a FusionTensor.

The default implementation relies on Broadcast and errors on some axis convention.

[codecov]

Codecov Report

All modified and coverable lines are covered by tests ✅

Project coverage is 91.52%. Comparing base (3e9ee17) to head (063a4c3).
Report is 1 commits behind head on main.

Additional details and impacted files

@@            Coverage Diff             @@
##             main      #62      +/-   ##
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+ Coverage   91.47%   91.52%   +0.04%     
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  Files          11       11              
  Lines         575      578       +3     
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+ Hits          526      529       +3     
  Misses         49       49              

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[lkdvos]

Just double checking since I might be misunderstanding this:

There are a couple lines that look to me like you are returning the same object in cases where I would expect this to not be possible. Note that the Base behavior is to return an array with a real eltype as well, therefore it is never possible to have an in-place operation for complex arrays:

julia> A = rand(ComplexF64, 2, 2)
2×2 Matrix{ComplexF64}:
   0.374141+0.728543im  0.531899+0.0731709im
 0.00277646+0.134685im  0.501756+0.906939im

julia> real(A)
2×2 Matrix{Float64}:
 0.374141    0.531899
 0.00277646  0.501756

julia> imag(A)
2×2 Matrix{Float64}:
 0.728543  0.0731709
 0.134685  0.906939