Add intermediate states and exact CP transition prototype - #30
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Summary
S' = S @ A + B) with composition, exclusive prefix scans, and a CP=2 NCCL correctness pathH200 results
Measured on 2x NVIDIA H200 NVL with H=8, D=V=128, and 512 tokens per CP rank:
For CP=2, the current NCCL all-gather plus local prefix composition takes 0.372 ms for a 1 MiB transition per rank. The two-stage FlashKDA comparison against a serial 256-token run has rank-1 output max error
5.72e-4and mean error3.27e-6.Validation
The SM90A extension builds successfully on H200, and
git diff --checkpasses.Scope and limitations
(A, B)transition