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Behavior of mmulStrassen
mmulStrassen
does not compute a matrix multiplication, as its name implies.
new Matrix([[1, 2]]).mmulStrassen(new Matrix([[1,2],[3,4]])).to2DArray()
// returns [[7, 10], [0,0]]
The caller gets back a multiplication result, zero padded to a square matrix. I believe this is done intentionally in embed
, see comment here. It's unclear why the returned result wouldn't be trimmed to the correct dimensions (perhaps it made the recursion easier to implement?).
While this may not be unintentional, I think it's misleading at best; it's not documented anywhere I could find.
Also, it looks like we have no tests on mmulStrassen
for inputs > 512x512, which means this algo is functionally untested.
mmulStrassen
was implemented as an experiment to see if we could optimize the multiplication. It's not well tested and documented because of that.
We should check if any time can still be gained from that implementation. If not, I would suggest to deprecate it in the documentation and keep it as it is (to avoid a breaking change in the API).