# Hopper Tensor Core WGMMA Lane This directory is reserved for the Hopper-native gap-closing kernel lane. Current state: - `tensor_core_async` is the owned WMMA guardrail lane. - `cuBLASLt` is the control ceiling lane. - `tensor_core_wgmma` is the next implementation lane intended to close the remaining device-side gap. Minimum contract for the first implementation: - target shape: `4096x4096x4096` - dtype: BF16 input, FP32 accumulation - architecture: `sm90` - correctness lane: `512x512x512` with reference enabled - performance lane: `4096x4096x4096` with reference disabled Design goals: - use warpgroup MMA rather than per-warp WMMA - move toward TMA-backed staging for the long-term feed path - preserve a standalone harness so the lane can be benchmarked by `kernel_lab` - keep the first fast path simple: no generalized epilogue work unless it is proven necessary Promotion rule: - only promote a `tensor_core_wgmma` variant if it beats the current owned SM90 baseline without correctness regressions