shared memory

Separate storage scope from physical backing, then follow a warp through adjacent and strided loads. Count useful bytes and requested sectors before inferring HBM traffic or speed.

Derive a block-level occupancy limit, then compare the extra residency with spill traffic and lost reuse. Use a matched experiment rather than a target percentage.

Derive the bank mapping before and after padding, trace a fixed-tile kernel, and measure whether the saved conflict outweighs other resource costs.

Follow an accumulator across K tiles, count reuse at each memory level, and decide whether a tile improves measured GEMM performance.

Trace how a shared-memory tile turns coalesced input rows into coalesced output rows. Then separate global sector footprints, shared-bank conflicts and measured bandwidth, including the cost of handling edge tiles.

Choose between local candidates, radix selection and sorting from k and the required output. A tested FP32 reference makes ties, signed zero, NaNs and threshold selection explicit.