Optimize Blackwell k-means assignment reduction - #22
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Summary
This PR optimizes the score reduction in the Blackwell CuTeDSL k-means assignment kernel. The tcgen05 MMA and existing load/MMA/consumer pipeline remain unchanged; the work focuses on loading score tiles from TMEM, applying centroid norms, and selecting the winning centroid.
The new paths preserve the original numerical behavior and lowest-index tie breaking. All 33 existing B200 k-means tests pass, every sampled benchmark output matched the reference, and adversarial tests covering cross-tile ties, all-equal centroids, NaNs, infinities, and signed zero produced zero mismatches.
Key ideas and contributions
BlackwellFlashKmeansAssignWSILP2BlackwellFlashKmeansAssignWSILP2BlackwellFlashKmeansAssignWSNormBroadcastBlackwellFlashKmeansAssignWSNormBroadcastshuffle_syncto distribute each registered norm across the warp.BlackwellFlashKmeansAssignWSNormBroadcastPerformance
These are checkout-to-checkout production measurements:
mainat81e5deaversus this PR ate4ce568a. Both revisions ran the same external benchmark with the same 13 affected shapes, three rotating input sets, 10 warmup iterations, and the median of 30 timed iterations. No benchmark-only kernel selector was added to the repository.All 13 affected shapes improved, with a 7.77% geometric-mean speedup. Every row matched the numerical reference.
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