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Start adding broadcasting to compiler #1726

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Summary:
This diff continues the work to add broadcasting semantics to the compiler and BMG. In this diff, I fix a bug in the type analyzer which was incorrectly detecting if two matrix types were broadcastable; it was only working if one of the types was a matrix size strictly bigger than the other, but broadcasting allows an n x 1 matrix to be broadcast with a 1 x m matrix regardless of the size of n and m.

I've added a test case that demonstrates that the existing vectorization algorithm gets as far as generating an incorrect BMG graph; the graph needs to have broadcast nodes added to it. We'll fix that up in some upcoming diffs.

Reviewed By: AishwaryaSivaraman

Differential Revision: D40042673

@facebook-github-bot facebook-github-bot added the CLA Signed This label is managed by the Facebook bot. Authors need to sign the CLA before a PR can be reviewed. label Oct 4, 2022
Summary:
This diff continues the work to add broadcasting semantics to the compiler and BMG. In this diff, I fix a bug in the type analyzer which was incorrectly detecting if two matrix types were broadcastable; it was only working if one of the types was a matrix size strictly bigger than the other, but broadcasting allows an n x 1 matrix to be broadcast with a 1 x m matrix regardless of the size of n and m.

I've added a test case that demonstrates that the existing vectorization algorithm gets as far as generating an incorrect BMG graph; the graph needs to have broadcast nodes added to it.  We'll fix that up in some upcoming diffs.

Reviewed By: AishwaryaSivaraman

Differential Revision: D40042673

fbshipit-source-id: 930002975993cc207382d714ba1a5c0199102409
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This pull request was exported from Phabricator. Differential Revision: D40042673

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