flash-attention/hopper/heuristics.h

/******************************************************************************
 * Copyright (c) 2024, Jay Shah, Ganesh Bikshandi, Ying Zhang, Vijay Thakkar, Pradeep Ramani, Tri Dao.
 ******************************************************************************/

#pragma once

#include <vector>

inline bool should_pack_gqa(bool varlen_q, int seqlen_q, int qhead_per_khead, int blockM) {
    // If varlen, we don't actually know seqlen_q but only max_seqlen_q.
    if (varlen_q) return true;
    // Heuristic: PackGQA is a bit slower but can help if seqlen_q is small or not near a multiple of kBlockM
    auto round_up = [](int a, int b) { return (a + b - 1) / b * b; };
    float nopack_gqa_efficiency = float(seqlen_q) / float(round_up(seqlen_q, blockM));
    float pack_gqa_efficiency = float(seqlen_q * qhead_per_khead) / float(round_up(seqlen_q * qhead_per_khead, blockM));
    return nopack_gqa_efficiency < 0.9 * pack_gqa_efficiency;
};

// Find the number of splits that maximizes the occupancy. For example, if we have
// batch * n_heads = 48 and we have 108 SMs, having 2 splits (efficiency = 0.89) is
// better than having 3 splits (efficiency = 0.67). However, we also don't want too many
// splits as that would incur more HBM reads/writes.
// So we find the best efficiency, then find the smallest number of splits that gets 85%
// of the best efficiency.
inline int num_splits_heuristic(int batch_nheads_mblocks, int num_SMs, int num_n_blocks, int max_splits) {
    // If we have enough to almost fill the SMs, then just use 1 split
    if (batch_nheads_mblocks >= 0.8f * num_SMs) { return 1; }
    // If num_n_blocks is too small, use 1 split. For example, we never split for hdim = 128 and seqlen_k = 512.
    if (num_n_blocks <= 4) { return 1; }
    max_splits = std::min({max_splits, num_SMs, num_n_blocks});
    float max_efficiency = 0.f;
    std::vector<float> efficiency;
    efficiency.reserve(max_splits);
    for (int num_splits = 1; num_splits <= max_splits; num_splits++) {
        float n_waves = float(batch_nheads_mblocks * num_splits) / num_SMs;
        float eff = n_waves / ceil(n_waves);
        // printf("num_splits = %d, eff = %f\n", num_splits, eff);
        if (eff > max_efficiency) { max_efficiency = eff; }
        efficiency.push_back(eff);
    }
    for (int num_splits = 1; num_splits <= max_splits; num_splits++) {
        if (efficiency[num_splits - 1] >= 0.85 * max_efficiency) {
            // printf("num_splits chosen = %d\n", num_splits);
            return num_splits;
        }
    }
    return 1;
}