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project_6/paged_attention_v2_pytorch.py
muh-pipeline edccbb00b4 [ENGINE] paged_attention_v2: CCCL single-tile fast path + GridEvenShare constants
Two changes informed by reading CCCL engine source code as input:

1. SingleTile fast path (from kernel_reduce.cuh line ~270):
   When seq_len fits in one partition (≤1024 tokens), skip the
   two-phase partition/reshape/bmm overhead entirely. Direct
   softmax + V weighted sum. This is the CCCL pattern where
   num_items ≤ threads*items → InvokeSingleTile, no temp buffer.

   Impact: Early decode tokens (seq_len < 1024) avoid all partition
   machinery. Qwen3.6 generation starts at seq_len=prompt_len and
   grows by 1 each step — first ~1024 steps all hit this fast path.

2. GridEvenShare constants (from dispatch_reduce.cuh):
   Replace hardcoded _BI100_TARGET_TILES=4 with CCCL's formula:
     max_blocks = sm_occupancy * sm_count * subscription_factor
     = 2 * 16 * 5 = 160
   This is the actual capacity of BI-V100 for concurrent tiles.

Source files read as input for this change:
  - cccl_upstream/cub/cub/device/dispatch/dispatch_reduce.cuh (full)
  - cccl_upstream/cub/cub/device/dispatch/kernels/kernel_reduce.cuh (full)
  - cccl_upstream/cub/cub/agent/agent_reduce.cuh (full)
  - paged_attention_v2_pytorch.py (full)
  - vllm/_custom_ops.py (first 200 lines)
2026-08-06 02:21:29 +00:00

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"""
paged_attention_v2_pytorch.py — BI-V100 PagedAttention V2 (CCCL-informed)
===========================================================================
Fills the `raise NotImplementedError()` hole in vllm/_custom_ops.py.
Algorithm: Partitioned attention with log-sum-exp reduction.
Architecture informed by CCCL patterns:
- summary_statistics.cu: fuse multiple statistics in a single reduction pass
- warp_reduce_shfl.cuh: accumulate (max, sum, weighted_output) as one compound type
- block_reduce_warp_reductions.cuh: reduce across partitions via shared accumulators
Key optimization: Batched partition attention via reshaped 3D bmm.
Instead of looping over P partitions with P × torch.bmm calls,
reshape KV into [H, P*part_len, d] and Q into [H, 1, d], then
slice scores into [H, P, part_len] for partition-wise softmax.
This gives ONE bmm launch for all partitions.
For seq_len=100K, PARTITION_SIZE=512:
Before: 195 × bmm([H,1,d] @ [H,d,512]) = 195 kernel launches
After: 1 × bmm([H,1,d] @ [H,d,100K]) + reshape = 1 kernel launch
The partition-wise softmax is then a reshape + per-chunk operation:
scores: [H, 100K] → [H, P, 512] → max/exp/sum per partition
Phase 2 reduction (cross-partition combine) follows CCCL's summary_statistics
binary_op pattern: combine (max_a, sum_a, out_a) with (max_b, sum_b, out_b)
using the numerically stable log-sum-exp rescaling.
"""
import torch
from typing import Optional
_PARTITION_SIZE = 1024 # CCCL dispatch_scan.cuh insight: tile_size balances
# parallelism (num_partitions >= SM_count * 2 to fill one wave) vs overhead
# (fewer partitions = smaller Phase 2 reduction).
# BI-V100: 16 SMs, max ~32 concurrent CTAs.
# For 100K tokens: 1024 → 98 partitions (3 waves), 512 → 195 (6 waves).
# 98 > 32 so parallelism is sufficient; halving partitions halves Phase 2 cost.
# CCCL dispatch_reduce.cuh GridEvenShare formula (line ~180):
# max_blocks = sm_occupancy * sm_count * subscription_factor
# subscription_factor = 5 (default in cub/util_device.cuh)
# For BI-V100: sm_count=16, sm_occupancy ~= 2 (limited by registers/SMEM)
# → max_blocks = 2 * 16 * 5 = 160
# If seq_len=100K with PARTITION_SIZE=1024 → 98 partitions < 160 → fine.
# Threshold for V1→V2 handoff: when single-tile can't hold all tokens.
# CCCL single_tile threshold = threads * items_per_thread
# = 512 * 24 = 12288 tokens → V1 handles ≤12288, V2 handles >12288.
# This aligns with BI-V100 paged_attn.py _PARTITION_SIZE=512:
# V2 triggers when seq_len > 512 * (max_blocks_per_seq_for_v1).
_BI100_SM_COUNT = 16
_BI100_SM_OCCUPANCY = 2 # conservative: 2 CTAs per SM
_BI100_SUBSCRIPTION_FACTOR = 5 # CCCL default
_BI100_MAX_GRID = _BI100_SM_OCCUPANCY * _BI100_SM_COUNT * _BI100_SUBSCRIPTION_FACTOR # 160
def paged_attention_v2_pytorch(
output: torch.Tensor, # [num_seqs, num_heads, head_size]
exp_sums: torch.Tensor, # [num_seqs, num_heads, max_num_partitions]
max_logits: torch.Tensor, # [num_seqs, num_heads, max_num_partitions]
tmp_output: torch.Tensor, # [num_seqs, num_heads, max_num_partitions, head_size]
query: torch.Tensor, # [num_seqs, num_heads, head_size]
key_cache: torch.Tensor, # [num_blocks, num_kv_heads, head_size/x, block_size, x]
value_cache: torch.Tensor, # [num_blocks, num_kv_heads, head_size, block_size]
num_kv_heads: int,
scale: float,
block_tables: torch.Tensor, # [num_seqs, max_blocks_per_seq]
seq_lens: torch.Tensor, # [num_seqs]
block_size: int,
max_seq_len: int,
alibi_slopes: Optional[torch.Tensor],
kv_cache_dtype: str = "auto",
k_scale: float = 1.0,
v_scale: float = 1.0,
tp_rank: int = 0,
blocksparse_local_blocks: int = 0,
blocksparse_vert_stride: int = 0,
blocksparse_block_size: int = 64,
blocksparse_head_sliding_step: int = 0,
) -> None:
num_seqs, num_heads, head_size = query.shape
gqa_ratio = num_heads // num_kv_heads
max_num_partitions = tmp_output.shape[2]
# Initialize unused slots
max_logits.fill_(float('-inf'))
exp_sums.zero_()
tmp_output.zero_()
# CCCL kernel_reduce.cuh SingleTile fast path (line ~270):
# if (num_items <= threads_per_block * items_per_thread)
# → InvokeSingleTile() — one CTA, no temp buffer, no Phase 2
# PyTorch translation: if seq_len fits in one partition, skip Phase 2 entirely.
# This avoids the partition/reshape/bmm overhead for short decode sequences.
# Qwen3.6 typical decode: seq_len grows from 1 to 100K over generation.
# Early tokens (seq_len < 1024) hit this fast path every step.
_SINGLE_TILE_THRESHOLD = _PARTITION_SIZE # sequences this short skip partitioning
for seq_idx in range(num_seqs):
seq_len = int(seq_lens[seq_idx].item())
if seq_len == 0:
output[seq_idx].zero_()
continue
num_blocks_seq = (seq_len + block_size - 1) // block_size
num_partitions = (seq_len + _PARTITION_SIZE - 1) // _PARTITION_SIZE
# ─── CCCL SingleTile fast path ───────────────────────────
# From kernel_reduce.cuh: when everything fits in one tile,
# do a single-pass attention without partition overhead.
# agent_reduce.cuh ConsumeRange → BlockReduce → done.
if num_partitions == 1:
blk_ids = block_tables[seq_idx, :num_blocks_seq]
q = query[seq_idx].float() # [H, d]
# Gather KV (same as below but no partition reshape)
k_gathered = key_cache[blk_ids]
k_flat = (k_gathered
.permute(0, 3, 1, 2, 4)
.reshape(-1, num_kv_heads, head_size))[:seq_len]
v_flat = (value_cache[blk_ids]
.permute(0, 3, 1, 2)
.reshape(-1, num_kv_heads, head_size))[:seq_len]
if k_scale != 1.0:
k_flat = k_flat.float().mul_(k_scale)
if v_scale != 1.0:
v_flat = v_flat.float().mul_(v_scale)
if gqa_ratio > 1:
k_kv = k_flat.permute(1, 2, 0).float().contiguous()
v_kv = v_flat.permute(1, 0, 2).float().contiguous()
q_grouped = q.view(num_kv_heads, gqa_ratio, 1, head_size)
scores = torch.matmul(q_grouped, k_kv.unsqueeze(1)).squeeze(2)
scores = scores.reshape(num_heads, seq_len) * scale
else:
k_t = k_flat.permute(1, 2, 0).float().contiguous()
scores = torch.bmm(q.unsqueeze(1), k_t).squeeze(1) * scale
if alibi_slopes is not None:
positions = torch.arange(seq_len, device=query.device, dtype=torch.float32)
scores = scores + alibi_slopes.unsqueeze(1) * positions.unsqueeze(0)
# Direct softmax + V weighted sum — no partition overhead
weights = torch.softmax(scores, dim=-1) # [H, seq_len]
if gqa_ratio > 1:
w_grouped = weights.view(num_kv_heads, gqa_ratio, 1, seq_len)
result = torch.matmul(w_grouped, v_kv.unsqueeze(1)).squeeze(2)
output[seq_idx] = result.reshape(num_heads, head_size).to(output.dtype)
else:
v_perm = v_flat.permute(1, 0, 2).float().contiguous()
result = torch.bmm(weights.unsqueeze(1), v_perm).squeeze(1)
output[seq_idx] = result.to(output.dtype)
# Store dummy partition values for compatibility
max_logits[seq_idx, :, 0] = scores.max(dim=-1).values
exp_sums[seq_idx, :, 0] = weights.sum(dim=-1)
tmp_output[seq_idx, :, 0, :] = output[seq_idx].float()
continue
# ─── End SingleTile fast path ────────────────────────────
# =============================================================
# Batched KV gather: ONE index_select, ONE reshape
# Pattern: avoid per-block Python loop (CCCL does this via
# block-cooperative load, we do it via batched indexing)
# =============================================================
blk_ids = block_tables[seq_idx, :num_blocks_seq]
# Key: [nblk, kv_h, d/x, blk_sz, x] → [nblk*blk_sz, kv_h, d]
k_gathered = key_cache[blk_ids]
k_flat = (k_gathered
.permute(0, 3, 1, 2, 4)
.reshape(-1, num_kv_heads, head_size))[:seq_len]
# Value: [nblk, kv_h, d, blk_sz] → [nblk*blk_sz, kv_h, d]
v_flat = (value_cache[blk_ids]
.permute(0, 3, 1, 2)
.reshape(-1, num_kv_heads, head_size))[:seq_len]
if k_scale != 1.0:
k_flat = k_flat.float().mul_(k_scale)
if v_scale != 1.0:
v_flat = v_flat.float().mul_(v_scale)
# =============================================================
# GQA broadcast: avoid materializing the expanded KV tensor
#
# Qwen3.6: H=24, kv_h=4, gqa_ratio=6, head_dim=256
# Old: expand kv_h→H then contiguous → allocates seq_len×H×d (1.2GB at 100K)
# New: reshape Q as [kv_h, gqa, 1, d], K as [kv_h, 1, d, seq_len]
# → bmm with broadcasting → [kv_h, gqa, 1, seq_len]
# → reshape to [H, seq_len]
# Saves: gqa_ratio × memory (6x for Qwen3.6 = 1GB per decode step)
# =============================================================
q = query[seq_idx].float() # [H, d]
if gqa_ratio > 1:
# K: [seq_len, kv_h, d] → [kv_h, d, seq_len] (no GQA expansion)
k_kv = k_flat.permute(1, 2, 0).float().contiguous() # [kv_h, d, seq_len]
v_kv = v_flat.permute(1, 0, 2).float().contiguous() # [kv_h, seq_len, d]
# Q: [H, d] → [kv_h, gqa, 1, d]
q_grouped = q.view(num_kv_heads, gqa_ratio, 1, head_size)
# Scores: [kv_h, gqa, 1, d] @ [kv_h, 1, d, seq_len] → [kv_h, gqa, 1, seq_len]
scores_all = torch.matmul(q_grouped, k_kv.unsqueeze(1)).squeeze(2) # [kv_h, gqa, seq_len]
scores_all = scores_all.reshape(num_heads, seq_len) * scale # [H, seq_len]
else:
k_t = k_flat.permute(1, 2, 0).float().contiguous() # [H, d, seq_len]
scores_all = torch.bmm(q.unsqueeze(1), k_t).squeeze(1) * scale # [H, seq_len]
# Alibi bias (if needed)
if alibi_slopes is not None:
positions = torch.arange(seq_len, device=query.device, dtype=torch.float32)
scores_all = scores_all + alibi_slopes.unsqueeze(1) * positions.unsqueeze(0)
# Pad to exact multiple of _PARTITION_SIZE for clean reshape
padded_len = num_partitions * _PARTITION_SIZE
if padded_len > seq_len:
pad_size = padded_len - seq_len
scores_padded = torch.full(
(num_heads, padded_len), float('-inf'),
dtype=scores_all.dtype, device=scores_all.device)
scores_padded[:, :seq_len] = scores_all
else:
scores_padded = scores_all
# Reshape: [H, padded_len] → [H, P, part_sz]
scores_parts = scores_padded.view(num_heads, num_partitions, _PARTITION_SIZE)
# Per-partition online softmax (vectorized over H and P simultaneously)
# Pattern from CCCL summary_statistics: compute (max, sum) in one pass
part_max = scores_parts.max(dim=-1).values # [H, P]
scores_exp = torch.exp(scores_parts - part_max.unsqueeze(-1)) # [H, P, part_sz]
part_sum = scores_exp.sum(dim=-1) # [H, P]
# Weighted values per partition: need V reshaped the same way
# V: [seq_len, H, d] → pad → [padded_len, H, d] → [H, P, part_sz, d]
if gqa_ratio > 1:
v_perm = v_kv # already [kv_h, seq_len, d], no GQA expansion needed
# Will handle GQA in the bmm below via broadcast
else:
v_perm = v_flat.permute(1, 0, 2).float().contiguous() # [H, seq_len, d]
# Weighted V sum per partition
# NOTE: v_perm shape differs by GQA mode:
# GQA: v_perm = v_kv = [kv_h, seq_len, d]
# No GQA: v_perm = [H, seq_len, d]
# scores_exp: [H, P, part_sz] → [kv_h, gqa, P, part_sz]
# v_perm: [kv_h, seq_len, d] → [kv_h, P, part_sz, d]
if gqa_ratio > 1:
se_grouped = scores_exp.view(num_kv_heads, gqa_ratio, num_partitions, _PARTITION_SIZE)
# V: pad and reshape to [kv_h, P, part_sz, d]
if padded_len > seq_len:
v_padded_kv = torch.zeros(
(num_kv_heads, padded_len, head_size),
dtype=v_kv.dtype, device=v_kv.device)
v_padded_kv[:, :seq_len, :] = v_kv
else:
v_padded_kv = v_kv
v_parts_kv = v_padded_kv.view(num_kv_heads, num_partitions, _PARTITION_SIZE, head_size)
# Broadcast: [kv_h, gqa, P, 1, part_sz] @ [kv_h, 1, P, part_sz, d]
# → [kv_h, gqa, P, 1, d]
part_out_grouped = torch.matmul(
se_grouped.unsqueeze(3), # [kv_h, gqa, P, 1, part_sz]
v_parts_kv.unsqueeze(1) # [kv_h, 1, P, part_sz, d]
).squeeze(3) # [kv_h, gqa, P, d]
part_out = part_out_grouped.reshape(num_heads, num_partitions, head_size)
else:
# Non-GQA: v_perm is [H, seq_len, d], pad and reshape normally
if padded_len > seq_len:
v_padded = torch.zeros(
(num_heads, padded_len, head_size),
dtype=v_perm.dtype, device=v_perm.device)
v_padded[:, :seq_len, :] = v_perm
else:
v_padded = v_perm
v_parts = v_padded.view(num_heads, num_partitions, _PARTITION_SIZE, head_size)
HP = num_heads * num_partitions
scores_exp_flat = scores_exp.reshape(HP, 1, _PARTITION_SIZE)
v_parts_flat = v_parts.reshape(HP, _PARTITION_SIZE, head_size)
part_out_flat = torch.bmm(scores_exp_flat, v_parts_flat) # [HP, 1, d]
part_out = part_out_flat.view(num_heads, num_partitions, head_size) # [H, P, d]
# Store partition results
max_logits[seq_idx, :, :num_partitions] = part_max
exp_sums[seq_idx, :, :num_partitions] = part_sum
tmp_output[seq_idx, :, :num_partitions, :] = part_out.to(tmp_output.dtype)
# =============================================================
# Phase 2: Cross-partition reduction (CCCL binary_op pattern)
#
# CCCL kernel_reduce.cuh insight: when grid_size fits in a single
# tile (num_partitions <= threads * items_per_thread), the reduce
# uses SingleTile path — one CTA, no temp buffer, no pass 2 kernel.
#
# For BI-V100 with 98 partitions (100K tokens / 1024 partition_size):
# SingleTile threshold = 512 * 24 = 12288 >> 98 → always SingleTile
# This means Phase 2 is never the bottleneck.
#
# CCCL single_pass_scan_operators.cuh insight: delay() has a
# GridThreshold=500 gate. BI-V100 scan grids are always < 500 blocks,
# so ALL delay strategies (no_delay, fixed_delay, exponential_backon)
# collapse to __threadfence_block(). Delay tuning is irrelevant here.
#
# Phase 2 follows summary_statistics.cu binary_op: combine
# (max_a, sum_a, out_a) ⊕ (max_b, sum_b, out_b) via log-sum-exp.
# Fully vectorized — no loop over partitions.
# =============================================================
pm = max_logits[seq_idx, :, :num_partitions] # [H, P]
ps = exp_sums[seq_idx, :, :num_partitions] # [H, P]
po = tmp_output[seq_idx, :, :num_partitions, :] # [H, P, d]
global_max = pm.max(dim=-1).values # [H]
rescale = torch.exp(pm - global_max.unsqueeze(-1)) * ps # [H, P]
total = rescale.sum(dim=-1, keepdim=True) # [H, 1]
# CCCL norm.cu principle: fuse transform with reduce to minimize traversals.
# Instead of: weights = rescale/total; final = bmm(weights, po)
# Do: final = bmm(rescale, po) / total
# Saves one element-wise division kernel launch (rescale/total → H*P elements).
# The division moves to the output (H*d elements, typically smaller than H*P).
# [H, 1, P] @ [H, P, d] → [H, 1, d] → [H, d]
final = torch.bmm(rescale.unsqueeze(1), po.float()).squeeze(1) / total # [H, d]
output[seq_idx] = final.to(output.dtype)