sparse_attn: split KStats kernel, add README + perf charts

- Split SpargeKStatsKernel/Pipeline out of BlockMap (Kernel A produces
  per-block K stats workspace consumed by Kernel B), removing redundant
  K-stat recomputation across Q-blocks.
- Add example/ck_tile/50_sparse_attn/README.md (status vs upstream pinned
  to ae5b629, unported items, usage, references).
- Add example/ck_tile/50_sparse_attn/docs/{speedup_vs_sparsity,kernel_breakdown}.png
  + reusable plot_sparge_perf.py (b=2 h=32 s=16384 d=128 fp16 perf snapshot).

Co-Authored-By: Claude Opus 4 <noreply@anthropic.com>
This commit is contained in:
Gino Lu
2026-05-05 03:13:24 -04:00
parent eca3cb3e0a
commit b00e5449c8
11 changed files with 839 additions and 96 deletions

View File

@@ -52,7 +52,20 @@ struct SpargeBlockMapKernel
void* lut_ptr;
void* valid_block_num_ptr;
// R20 K-stat workspace from Kernel A
const void* pooled_k_ws_ptr; // [batch, nhead_k, N_k, D] fp32
const void* sim_k_ws_ptr; // [batch, nhead_k, N_k] uint8
index_t N_k;
// R21A Phase 4: optional per-head topk (size = nhead_q floats).
// nullptr => use scalar `topk` for all heads.
const float* topk_per_head;
// R21B: optional per-head cdfthreshd (size = nhead_q floats).
// nullptr => use scalar `cdfthreshd` for all heads.
// Only consulted on topk<=0 path; bench currently always uses topk path.
const float* cdfthreshd_per_head;
};
CK_TILE_HOST static constexpr auto MakeKargs(const void* q_ptr,
@@ -74,7 +87,11 @@ struct SpargeBlockMapKernel
float scale,
void* block_map_ptr,
void* lut_ptr,
void* valid_block_num_ptr)
void* valid_block_num_ptr,
const void* pooled_k_ws_ptr,
const void* sim_k_ws_ptr,
const float* topk_per_head = nullptr,
const float* cdfthreshd_per_head = nullptr)
{
const index_t N_k = integer_divide_ceil(seqlen_k, kN0);
return Kargs{q_ptr,
@@ -97,7 +114,11 @@ struct SpargeBlockMapKernel
block_map_ptr,
lut_ptr,
valid_block_num_ptr,
N_k};
pooled_k_ws_ptr,
sim_k_ws_ptr,
N_k,
topk_per_head,
cdfthreshd_per_head};
}
CK_TILE_HOST static constexpr auto GridSize(index_t batch, index_t nhead_q, index_t seqlen_q)
@@ -174,6 +195,21 @@ struct SpargeBlockMapKernel
// Shared memory
__shared__ char smem[Pipeline::GetSmemSize()];
// R20 K-stat workspace: pre-offset for this (b, hk).
const index_t nhead_k = kargs.nhead_q / kargs.nhead_ratio_qk;
const index_t khead_off = (b * nhead_k + hk) * N_k;
const auto* pooled_k_ws =
reinterpret_cast<const float*>(kargs.pooled_k_ws_ptr) + khead_off * D;
const auto* sim_k_ws =
reinterpret_cast<const uint8_t*>(kargs.sim_k_ws_ptr) + khead_off;
// R21A Phase 4: per-head topk if provided, else scalar broadcast.
const float topk_eff =
(kargs.topk_per_head != nullptr) ? kargs.topk_per_head[hq] : kargs.topk;
// R21B: per-head cdfthreshd if provided, else scalar broadcast.
const float cdfthreshd_eff =
(kargs.cdfthreshd_per_head != nullptr) ? kargs.cdfthreshd_per_head[hq] : kargs.cdfthreshd;
Pipeline{}(q_window,
k_window,
kargs.seqlen_q,
@@ -182,12 +218,14 @@ struct SpargeBlockMapKernel
N_k,
kargs.nhead_ratio_qk,
kargs.simthreshd1,
kargs.cdfthreshd,
kargs.topk,
cdfthreshd_eff,
topk_eff,
kargs.scale,
bmap_ptr,
lut_out,
valid_out,
pooled_k_ws,
sim_k_ws,
static_cast<void*>(smem));
}
};

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@@ -0,0 +1,136 @@
// Copyright (c) Advanced Micro Devices, Inc., or its affiliates.
// SPDX-License-Identifier: MIT
#pragma once
#include "ck_tile/core.hpp"
#include <type_traits>
namespace ck_tile {
// Kernel A wrapper: grid (N_k, nhead_k, batch). Each work-group precomputes
// K-block stats (pooled_k_mean[D], sim_k) for one (b, hk, kb) into a workspace
// that Kernel B (block_map) reads instead of recomputing per Q-block.
template <typename Pipeline_>
struct SpargeKStatsKernel
{
using Pipeline = remove_cvref_t<Pipeline_>;
static constexpr index_t kBlockSize = Pipeline::kBlockSize;
static constexpr index_t kBlockPerCu = Pipeline::kBlockPerCu;
using QDataType = typename Pipeline::QDataType;
using KDataType = typename Pipeline::KDataType;
static constexpr index_t kN0 = Pipeline::kN0;
static constexpr index_t D = Pipeline::D;
static constexpr index_t kAlignment = 16 / sizeof(KDataType);
struct Kargs
{
const void* k_ptr;
index_t seqlen_k;
index_t hdim_q;
index_t nhead_k;
index_t stride_k;
index_t nhead_stride_k;
index_t batch_stride_k;
float simthreshd1;
void* pooled_k_ptr; // [batch, nhead_k, N_k, D] fp32
void* sim_k_ptr; // [batch, nhead_k, N_k] uint8
index_t N_k;
// R21A Phase 4 + R21B fix: optional per-head simthreshd1.
// Buffer is sized [nhead_q] floats to match SpargeAttn upstream contract
// (utils.py:324, Headnum=q.size(1)). Kernel only indexes the first
// nhead_k entries via [hk]. nullptr => use scalar `simthreshd1`.
const float* simthreshd1_per_head;
};
CK_TILE_HOST static constexpr auto MakeKargs(const void* k_ptr,
index_t seqlen_k,
index_t hdim_q,
index_t nhead_k,
index_t stride_k,
index_t nhead_stride_k,
index_t batch_stride_k,
float simthreshd1,
void* pooled_k_ptr,
void* sim_k_ptr,
const float* simthreshd1_per_head = nullptr)
{
const index_t N_k = integer_divide_ceil(seqlen_k, kN0);
return Kargs{k_ptr,
seqlen_k,
hdim_q,
nhead_k,
stride_k,
nhead_stride_k,
batch_stride_k,
simthreshd1,
pooled_k_ptr,
sim_k_ptr,
N_k,
simthreshd1_per_head};
}
CK_TILE_HOST static constexpr auto GridSize(index_t batch, index_t nhead_k, index_t seqlen_k)
{
const index_t N_k = integer_divide_ceil(seqlen_k, kN0);
return dim3(N_k, nhead_k, batch);
}
CK_TILE_HOST static constexpr auto BlockSize() { return dim3(kBlockSize); }
CK_TILE_DEVICE void operator()(Kargs kargs) const
{
const index_t kb = static_cast<index_t>(blockIdx.x);
const index_t hk = static_cast<index_t>(blockIdx.y);
const index_t b = static_cast<index_t>(blockIdx.z);
const auto* k_base = reinterpret_cast<const KDataType*>(kargs.k_ptr) +
b * kargs.batch_stride_k + hk * kargs.nhead_stride_k +
kb * kN0 * kargs.stride_k;
const auto k_dram_naive = make_naive_tensor_view<address_space_enum::global>(
k_base,
make_tuple(kargs.seqlen_k - kb * kN0, D),
make_tuple(kargs.stride_k, 1),
number<kAlignment>{},
number<1>{});
const auto k_dram = pad_tensor_view(
k_dram_naive, make_tuple(number<kN0>{}, number<D>{}), sequence<true, false>{});
auto k_window = make_tile_window(k_dram,
make_tuple(number<kN0>{}, number<D>{}),
{0, 0},
Pipeline::MakeKBlockDistribution());
const index_t N_k = kargs.N_k;
const index_t khead_off = (b * kargs.nhead_k + hk) * N_k;
auto* pooled_k_out = reinterpret_cast<float*>(kargs.pooled_k_ptr) + (khead_off + kb) * D;
auto* sim_k_out = reinterpret_cast<uint8_t*>(kargs.sim_k_ptr) + (khead_off + kb);
__shared__ char smem[Pipeline::GetSmemSize()];
// R21A Phase 4: per-head simthreshd1 if provided, else scalar broadcast.
const float simthreshd1_eff = (kargs.simthreshd1_per_head != nullptr)
? kargs.simthreshd1_per_head[hk]
: kargs.simthreshd1;
Pipeline{}(k_window,
kargs.seqlen_k,
kb,
simthreshd1_eff,
pooled_k_out,
sim_k_out,
static_cast<void*>(smem));
}
};
} // namespace ck_tile

View File

@@ -32,14 +32,22 @@ struct SpargeBlockMapPipeline
static constexpr index_t kMaxKBlocks = 1024;
// LDS layout (non-overlapping, all used simultaneously in Phase 2):
// [0 .. kReduceBytes) cross-warp reduction scratch
// [kScoreOffset ..) scores[N_k]
// [kBmapOffset ..) block_map[N_k]
// [kSmallOffset ..) Phase 3 argmax scratch (2*NumWarps floats)
static constexpr index_t kReduceBytes = NumWarps * D * sizeof(float);
static constexpr index_t kScoreOffset = kReduceBytes;
static constexpr index_t kBmapOffset = kScoreOffset + kMaxKBlocks * sizeof(float);
static constexpr index_t kSmallOffset = kBmapOffset + kMaxKBlocks * sizeof(uint8_t);
// [0 .. kReduceBytes) cross-warp reduction scratch slab 0
// [kReduceBytes .. 2*kReduceBytes) cross-warp reduction scratch slab 1
// (Round 8 b1: ping-pong for K-loop double buffer)
// [kScoreOffset ..) scores[N_k]
// [kBmapOffset ..) block_map[N_k]
// [kSmallOffset ..) Phase 3 argmax scratch (2*NumWarps floats)
// B2.v3 column-stride pad: replace k_idx*KPerThread with k_idx*(KPerThread+1)
// to break the 4-way intra-warp bank conflict. New per-warp slab size:
// KThreads * (KPerThread + 1) floats.
static constexpr index_t kColPaddedStride = KPerThread + 1;
static constexpr index_t kPerWarpFloats = KThreads * kColPaddedStride;
static constexpr index_t kReduceBytes = NumWarps * kPerWarpFloats * sizeof(float);
static constexpr index_t kReduceTotalBytes = 2 * kReduceBytes; // Round 8 b1: 2 slabs
static constexpr index_t kScoreOffset = kReduceTotalBytes;
static constexpr index_t kBmapOffset = kScoreOffset + kMaxKBlocks * sizeof(float);
static constexpr index_t kSmallOffset = kBmapOffset + kMaxKBlocks * sizeof(uint8_t);
CK_TILE_HOST_DEVICE static constexpr index_t GetSmemSize()
{
@@ -98,6 +106,12 @@ struct SpargeBlockMapPipeline
}
// Cross-warp LDS reduction for column sums.
// Round 13f: templated TrailingSync flag. When false, the trailing __syncthreads()
// is dropped — only safe when the next access targets a *different* slab and the
// intervening work does not read smem_reduce. Used at the slab_b call in Phase 2
// K-loop, where the next iter's first cross-warp reduce writes to slab_a (different
// address) and is preceded by its own leading sync.
template <bool TrailingSync = true>
CK_TILE_DEVICE static void column_reduce_cross_warp(float (&col_acc)[KPerThread],
float* __restrict__ smem_reduce)
{
@@ -107,17 +121,21 @@ struct SpargeBlockMapPipeline
const index_t k_idx = lane_id % KThreads;
const index_t m_idx = lane_id / KThreads;
// B2.v3 column-stride pad: stride k_idx by (KPerThread+1)=9 instead of 8,
// changing per-lane bank from (k_idx*8+k)%32 to (k_idx*9+k)%32. For k=0,
// lanes (k_idx={0,4,8,12}) now hit banks {0,4,8,12} instead of all 0.
if(m_idx == 0)
for(index_t k = 0; k < KPerThread; ++k)
smem_reduce[warp_id * D + k_idx * KPerThread + k] = col_acc[k];
smem_reduce[warp_id * kPerWarpFloats + k_idx * kColPaddedStride + k] = col_acc[k];
__syncthreads();
for(index_t k = 0; k < KPerThread; ++k)
col_acc[k] = 0.f;
for(index_t w = 0; w < NumWarps; ++w)
for(index_t k = 0; k < KPerThread; ++k)
col_acc[k] += smem_reduce[w * D + k_idx * KPerThread + k];
__syncthreads();
col_acc[k] += smem_reduce[w * kPerWarpFloats + k_idx * kColPaddedStride + k];
if constexpr(TrailingSync)
__syncthreads();
}
// Compute ||v||^2 per row: sum along KPerThread then xor-shuffle across k_idx.
@@ -162,7 +180,8 @@ struct SpargeBlockMapPipeline
for(index_t m = 0; m < SeqPerThread; ++m)
{
float inv_norm = (row_norms[m] > 0.f) ? (1.0f / __builtin_sqrtf(row_norms[m])) : 0.f;
// Round 12: hardware fast rsqrt (v_rsq_f32, ~1 ULP) replaces sw sqrt+rcp.
float inv_norm = (row_norms[m] > 0.f) ? rsqrtf(row_norms[m]) : 0.f;
index_t gsq = m * (SeqThreadPerWarp * NumWarps) + warp_id * SeqThreadPerWarp + m_idx;
if(gsq < actual_seq)
for(index_t k = 0; k < KPerThread; ++k)
@@ -230,9 +249,9 @@ struct SpargeBlockMapPipeline
// ======================================================================
template <typename QWindowType, typename KWindowType>
CK_TILE_DEVICE void operator()(const QWindowType& q_window_in,
const KWindowType& k_window_in,
const KWindowType& /*k_window_in*/,
index_t seqlen_q,
index_t seqlen_k,
index_t /*seqlen_k*/,
index_t qb,
index_t N_k,
index_t /*nhead_ratio_qk*/,
@@ -243,11 +262,15 @@ struct SpargeBlockMapPipeline
uint8_t* block_map_ptr,
int32_t* lut_ptr,
int32_t* valid_block_num_ptr,
const float* __restrict__ pooled_k_ws_ptr,
const uint8_t* __restrict__ sim_k_ws_ptr,
void* smem_ptr) const
{
const index_t tid = static_cast<index_t>(threadIdx.x);
auto* smem_float = reinterpret_cast<float*>(smem_ptr);
// R20: K-loop no longer reduces, only Phase 1 uses smem_float0.
// smem_float1 slab is allocated for layout compat but unused.
auto* smem_float0 = reinterpret_cast<float*>(smem_ptr);
auto* smem_scores =
reinterpret_cast<float*>(reinterpret_cast<char*>(smem_ptr) + kScoreOffset);
auto* smem_bmap =
@@ -271,16 +294,22 @@ struct SpargeBlockMapPipeline
row_reduce_sq_norm<MPerThread>(q_data, psq, bs_q);
// 1b. Column sum -> mean
// Track F (re-apply R8 b2): drop trailing sync. Next reduce reuses same slab
// (smem_float0) and has its own leading __syncthreads() before reading.
// pooled_q_mean is register-only between reduces.
float pooled_q_mean[KPerThread];
column_reduce_thread_and_warp<MPerThread>(q_data, pooled_q_mean);
column_reduce_cross_warp(pooled_q_mean, smem_float);
column_reduce_cross_warp<false>(pooled_q_mean, smem_float0);
for(index_t k = 0; k < KPerThread; ++k)
pooled_q_mean[k] *= inv_bs_q;
// 1c. Normalised sum_hat
// Track F (re-apply R8 b2): drop trailing sync. Next cross-warp reduce in
// K-loop iter 0 writes slab_a=smem_float0 (kb=0 even). Although same slab,
// its leading __syncthreads() covers the WAR. sum_hat register-only here.
float sum_hat[KPerThread];
column_reduce_normalised<MPerThread>(q_data, psq, sum_hat, bs_q);
column_reduce_cross_warp(sum_hat, smem_float);
column_reduce_cross_warp<false>(sum_hat, smem_float0);
// 1d. sim_q = ||sum_hat||^2 / bs_q^2
float sh_sq = 0.f;
@@ -319,49 +348,34 @@ struct SpargeBlockMapPipeline
smem_bmap[i] = 0;
__syncthreads();
auto k_window = k_window_in;
// R20: K-stats precomputed by Kernel A. Each thread loads its own
// KPerThread-slice of pooled_k_mean from DRAM workspace; sim_k is a single
// byte. No K-tile load, no cross-warp reduce in the K-loop.
const index_t lane_id_kb = tid % WarpSize;
const index_t k_idx_kb = lane_id_kb % KThreads;
for(index_t kb = 0; kb < N_k; ++kb)
{
const index_t bs_k = min(static_cast<index_t>(kN0), seqlen_k - kb * kN0);
const float inv_bs_k = (bs_k > 0) ? (1.0f / static_cast<float>(bs_k)) : 0.f;
auto k_tile = load_tile(k_window);
float k_data[NPerThread * KPerThread];
tile_to_float<NPerThread * KPerThread>(k_tile, k_data);
// K mean
const float* p_kb = pooled_k_ws_ptr + kb * D + k_idx_kb * KPerThread;
float pooled_k_mean[KPerThread];
column_reduce_thread_and_warp<NPerThread>(k_data, pooled_k_mean);
column_reduce_cross_warp(pooled_k_mean, smem_float);
for(index_t k = 0; k < KPerThread; ++k)
pooled_k_mean[k] *= inv_bs_k;
pooled_k_mean[k] = p_kb[k];
// dot(pooled_q_mean, pooled_k_mean)
float dot = 0.f;
for(index_t k = 0; k < KPerThread; ++k)
dot += pooled_q_mean[k] * pooled_k_mean[k];
dot = reduce_across_k(dot);
// K L2 norms + normalised sum_hat
float k_psq[NPerThread];
row_reduce_sq_norm<NPerThread>(k_data, k_psq, bs_k);
float k_sum_hat[KPerThread];
column_reduce_normalised<NPerThread>(k_data, k_psq, k_sum_hat, bs_k);
column_reduce_cross_warp(k_sum_hat, smem_float);
// sim_k
float ksh_sq = 0.f;
for(index_t k = 0; k < KPerThread; ++k)
ksh_sq += k_sum_hat[k] * k_sum_hat[k];
ksh_sq = reduce_across_k(ksh_sq);
const float denom_k = static_cast<float>(bs_k) * static_cast<float>(bs_k);
const bool sim_k = (denom_k > 0.f) && ((ksh_sq / denom_k) > simthreshd1);
const bool sim_k = (sim_k_ws_ptr[kb] != 0);
if(tid == 0)
{
// INVARIANT (mirrors SpargeAttn ref utils.py:175-180):
// ~sim_k blocks are forced ON in the bitmap (final_map[~sim_k]=1)
// AND have score = -inf so Phase 3 selection (topk / cdf) does NOT
// pick them again (would double-count toward topk budget).
// Both writes MUST stay together. Any Phase 3 selection rewrite
// (e.g. iterative argmax → bitonic sort) must keep the -inf write.
if(!sim_k)
{
smem_bmap[kb] = 1;
@@ -372,10 +386,8 @@ struct SpargeBlockMapPipeline
smem_scores[kb] = dot * scale;
}
}
__syncthreads();
move_tile_window(k_window, {kN0, 0});
}
__syncthreads(); // guard Phase 3's reads of smem_bmap / smem_scores
// ==================================================================
// Phase 3: Softmax + Selection
@@ -399,15 +411,24 @@ struct SpargeBlockMapPipeline
}
const float sum_exp = block_reduce_sum(lsum, smem_small);
// normalise
const float inv_sum = (sum_exp > 0.f) ? (1.0f / sum_exp) : 0.f;
for(index_t i = tid; i < N_k; i += kBlockSize)
smem_scores[i] *= inv_sum;
__syncthreads();
// Round 13i: argmax is invariant under positive scaling (inv_sum > 0). When
// topk > 0 we never read normalised values for cdfthreshd, so skip the
// normalise pass entirely (saves N_k LDS writes + 1 __syncthreads). The
// cdfthreshd path (topk <= 0) still requires normalised scores so the
// accumulator `cumulative_prob` matches probabilities.
const bool topk_active = (topk > 0.f);
const float inv_sum =
(!topk_active && sum_exp > 0.f) ? (1.0f / sum_exp) : 0.f;
if(!topk_active)
{
for(index_t i = tid; i < N_k; i += kBlockSize)
smem_scores[i] *= inv_sum;
__syncthreads();
}
// Selection: iterative argmax
index_t num_to_select =
(topk > 0.f)
topk_active
? max(static_cast<index_t>(1), static_cast<index_t>(topk * static_cast<float>(N_k)))
: N_k;
@@ -448,6 +469,11 @@ struct SpargeBlockMapPipeline
}
__syncthreads();
// Round 13g: collapse 2 syncs/round into 1. tid==0 computes the global
// winner AND writes the sentinel (smem_bmap=1, smem_scores=-1) in the same
// critical section, gated by bv>0. All threads then read smem_small[0] for
// the early break / cumulative_prob accumulation. Saves 1 __syncthreads per
// round (~32 syncs @ N_k=64 topk=0.5).
if(tid == 0)
{
float bv = smem_small[0];
@@ -462,24 +488,22 @@ struct SpargeBlockMapPipeline
bi = wi;
}
}
// Write sentinel into bmap/scores in the same critical section.
// Guarded by bv > 0 so we never poison a valid score with -1.
if(bv > 0.f)
{
smem_bmap[bi] = 1;
smem_scores[bi] = -1.f;
}
smem_small[0] = bv;
smem_small[1] = bit_cast<float>(static_cast<int32_t>(bi));
}
__syncthreads();
float g_val = smem_small[0];
index_t g_idx = bit_cast<int32_t>(smem_small[1]);
float g_val = smem_small[0];
if(g_val <= 0.f)
break;
if(tid == 0)
{
smem_bmap[g_idx] = 1;
smem_scores[g_idx] = -1.f;
}
__syncthreads();
if(topk > 0.f)
{
if(round + 1 >= num_to_select)

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@@ -0,0 +1,110 @@
// Copyright (c) Advanced Micro Devices, Inc., or its affiliates.
// SPDX-License-Identifier: MIT
#pragma once
#include "ck_tile/core.hpp"
#include "ck_tile/ops/sparse_attn/pipeline/sparge_blockmap_pipeline.hpp"
namespace ck_tile {
// Kernel A of the K-stat precompute split: one work-group per (b, hk, kb)
// computes pooled_k_mean and sim_k for that K-block once. Kernel B then reads
// from the workspace instead of recomputing per Q-block.
template <typename Problem_>
struct SpargeKStatsPipeline
{
using Problem = remove_cvref_t<Problem_>;
using Base = SpargeBlockMapPipeline<Problem>;
using QDataType = typename Base::QDataType;
using KDataType = typename Base::KDataType;
static constexpr index_t kBlockSize = Base::kBlockSize;
static constexpr index_t kM0 = Base::kM0;
static constexpr index_t kN0 = Base::kN0;
static constexpr index_t D = Base::D;
static constexpr index_t NumWarps = Base::NumWarps;
static constexpr index_t WarpSize = Base::WarpSize;
static constexpr index_t KPerThread = Base::KPerThread;
static constexpr index_t KThreads = Base::KThreads;
static constexpr index_t SeqThreadPerWarp = Base::SeqThreadPerWarp;
static constexpr index_t NPerThread = Base::NPerThread;
static constexpr index_t kBlockPerCu = 1;
static constexpr index_t kColPaddedStride = Base::kColPaddedStride;
static constexpr index_t kPerWarpFloats = Base::kPerWarpFloats;
static constexpr index_t kReduceBytes = NumWarps * kPerWarpFloats * sizeof(float);
CK_TILE_HOST_DEVICE static constexpr index_t GetSmemSize() { return kReduceBytes; }
CK_TILE_HOST_DEVICE static constexpr auto MakeKBlockDistribution()
{
return Base::MakeKBlockDistribution();
}
// operator(): one work-group, one K-block. Writes D fp32 + 1 uint8 to workspace.
template <typename KWindowType>
CK_TILE_DEVICE void operator()(const KWindowType& k_window,
index_t seqlen_k,
index_t kb,
float simthreshd1,
float* __restrict__ pooled_k_out, // D floats
uint8_t* __restrict__ sim_k_out, // 1 byte
void* smem_ptr) const
{
const index_t tid = static_cast<index_t>(threadIdx.x);
auto* smem_reduce = reinterpret_cast<float*>(smem_ptr);
const index_t bs_k = min(static_cast<index_t>(kN0), seqlen_k - kb * kN0);
const float inv_bs_k = (bs_k > 0) ? (1.0f / static_cast<float>(bs_k)) : 0.f;
auto k_tile = load_tile(k_window);
float k_data[NPerThread * KPerThread];
Base::template tile_to_float<NPerThread * KPerThread>(k_tile, k_data);
const index_t warp_id = tid / WarpSize;
const index_t lane_id = tid % WarpSize;
const index_t k_idx = lane_id % KThreads;
const index_t m_idx = lane_id / KThreads;
// pooled_k_mean: column sum then cross-warp reduce.
// R21A: drop trailing sync (next cross_warp_reduce has its own leading sync).
float pooled_k_mean[KPerThread];
Base::template column_reduce_thread_and_warp<NPerThread>(k_data, pooled_k_mean);
Base::template column_reduce_cross_warp<false>(pooled_k_mean, smem_reduce);
for(index_t k = 0; k < KPerThread; ++k)
pooled_k_mean[k] *= inv_bs_k;
// R21A: write pooled_k_mean to global early so its register liveness ends here,
// freeing VGPR before k_sum_hat becomes live.
if(warp_id == 0 && m_idx == 0)
{
for(index_t k = 0; k < KPerThread; ++k)
pooled_k_out[k_idx * KPerThread + k] = pooled_k_mean[k];
}
// K row L2 norms + normalised column sum (k_sum_hat)
float k_psq[NPerThread];
Base::template row_reduce_sq_norm<NPerThread>(k_data, k_psq, bs_k);
float k_sum_hat[KPerThread];
Base::template column_reduce_normalised<NPerThread>(k_data, k_psq, k_sum_hat, bs_k);
// R21A: drop trailing sync (no further smem read; only intra-warp shuffle + global write).
Base::template column_reduce_cross_warp<false>(k_sum_hat, smem_reduce);
// sim_k = (||k_sum_hat||^2 / bs_k^2) > simthreshd1
float ksh_sq = 0.f;
for(index_t k = 0; k < KPerThread; ++k)
ksh_sq += k_sum_hat[k] * k_sum_hat[k];
ksh_sq = Base::reduce_across_k(ksh_sq);
const float denom_k = static_cast<float>(bs_k) * static_cast<float>(bs_k);
const bool sim_k = (denom_k > 0.f) && ((ksh_sq / denom_k) > simthreshd1);
if(tid == 0)
*sim_k_out = sim_k ? static_cast<uint8_t>(1) : static_cast<uint8_t>(0);
}
};
} // namespace ck_tile