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Commit 50ca2348 authored by Tri Dao's avatar Tri Dao
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Add Triton implementation for benchmarking

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benchmarks/benchmark_causal.py 0 → 100644
View file @ 50ca2348
from functools import partial
import math
import torch
import torch.nn as nn
import torch.nn.functional as F
from einops import rearrange, repeat
from flash_attn.utils.benchmark import benchmark_all, benchmark_forward, benchmark_backward, benchmark_combined
from flash_attn.flash_attn_interface import flash_attn_unpadded_qkvpacked_func
from flash_attn.triton.fused_attention import attention as attention
def attention_pytorch(qkv, dropout_p=0.0, causal=False):
"""
Arguments:
qkv: (batch_size, seqlen, 3, nheads, head_dim)
dropout_p: float
Output:
output: (batch_size, seqlen, nheads, head_dim)
"""
batch_size, seqlen, _, nheads, d = qkv.shape
q, k, v = qkv.unbind(dim=2)
q = rearrange(q, 'b t h d -> (b h) t d')
k = rearrange(k, 'b s h d -> (b h) d s')
softmax_scale = 1.0 / math.sqrt(d)
# Preallocate attn_weights for `baddbmm`
scores = torch.empty(batch_size * nheads, seqlen, seqlen, dtype=qkv.dtype, device=qkv.device)
scores = rearrange(torch.baddbmm(scores, q, k, beta=0, alpha=softmax_scale),
'(b h) t s -> b h t s', h=nheads)
if causal:
# "triu_tril_cuda_template" not implemented for 'BFloat16'
# So we have to construct the mask in float
causal_mask = torch.triu(torch.full((seqlen, seqlen), -10000.0, device=scores.device), 1)
# TD [2022-09-30]: Adding is faster than masked_fill_ (idk why, just better kernel I guess)
scores = scores + causal_mask.to(dtype=scores.dtype)
attention = torch.softmax(scores, dim=-1)
attention_drop = F.dropout(attention, dropout_p)
output = torch.einsum('bhts,bshd->bthd', attention_drop , v)
return output.to(dtype=qkv.dtype)
def attention_triton(q, k, v):
"""
No dropout and only support causal=True.
Triton implementation seems to require q, k, v being contiguous?
Arguments:
q, k, v: (batch_size, nheads, seqlen, head_dim)
Output:
output: (batch_size, nheads, seqlen, head_dim)
"""
softmax_scale = 1.0 / math.sqrt(q.shape[-1])
return attention(q, k, v, softmax_scale)
torch.manual_seed(0)
repeats = 30
batch_size = 2
seqlen = 2048
nheads = 12
headdim = 128
dropout_p = 0.0
causal = True
dtype = torch.bfloat16
device = 'cuda'
qkv = torch.randn(batch_size, seqlen, 3, nheads, headdim, device=device, dtype=dtype,
requires_grad=True)
cu_seqlens = torch.arange(0, (batch_size + 1) * seqlen, step=seqlen, dtype=torch.int32,
device=qkv.device)
benchmark_all(flash_attn_unpadded_qkvpacked_func, rearrange(qkv, 'b s ... -> (b s) ...'),
cu_seqlens, seqlen, dropout_p, causal=causal, repeats=repeats, desc='FlashAttention')
benchmark_all(attention_pytorch, qkv, dropout_p, causal=causal,
repeats=repeats, desc='PyTorch Attention')
q, k, v = [torch.randn(batch_size, nheads, seqlen, headdim, device=device, dtype=dtype,
requires_grad=True) for _ in range(3)]
benchmark_all(attention_triton, q, k, v, repeats=repeats, desc='FlashAttention Triton')
flash_attn/triton/fused_attention.py 0 → 100644
View file @ 50ca2348
# [2022-10-23] Downloaded from https://github.com/openai/triton/blob/master/python/tutorials/06-fused-attention.py
# for benchmarking.
# Fixing some dtype casting to make it work for bfloat16
"""
Fused Attention
===============
This is a Triton implementation of the Flash Attention algorithm
(see: Dao et al., https://arxiv.org/pdf/2205.14135v2.pdf; Rabe and Staats https://arxiv.org/pdf/2112.05682v2.pdf)
"""
import pytest
import torch
import triton
import triton.language as tl
@triton.jit
def _fwd_kernel(
Q, K, V, sm_scale,
TMP, L, M, # NOTE: TMP is a scratchpad buffer to workaround a compiler bug
Out,
stride_qz, stride_qh, stride_qm, stride_qk,
stride_kz, stride_kh, stride_kn, stride_kk,
stride_vz, stride_vh, stride_vk, stride_vn,
stride_oz, stride_oh, stride_om, stride_on,
Z, H, N_CTX,
BLOCK_M: tl.constexpr, BLOCK_DMODEL: tl.constexpr,
BLOCK_N: tl.constexpr,
):
start_m = tl.program_id(0)
off_hz = tl.program_id(1)
# initialize offsets
offs_m = start_m * BLOCK_M + tl.arange(0, BLOCK_M)
offs_n = tl.arange(0, BLOCK_N)
offs_d = tl.arange(0, BLOCK_DMODEL)
off_q = off_hz * stride_qh + offs_m[:, None] * stride_qm + offs_d[None, :] * stride_qk
off_k = off_hz * stride_qh + offs_n[:, None] * stride_kn + offs_d[None, :] * stride_kk
off_v = off_hz * stride_qh + offs_n[:, None] * stride_qm + offs_d[None, :] * stride_qk
# Initialize pointers to Q, K, V
q_ptrs = Q + off_q
k_ptrs = K + off_k
v_ptrs = V + off_v
# initialize pointer to m and l
t_ptrs = TMP + off_hz * N_CTX + offs_m
m_i = tl.zeros([BLOCK_M], dtype=tl.float32) - float("inf")
l_i = tl.zeros([BLOCK_M], dtype=tl.float32)
acc = tl.zeros([BLOCK_M, BLOCK_DMODEL], dtype=tl.float32)
# load q: it will stay in SRAM throughout
q = tl.load(q_ptrs)
# loop over k, v and update accumulator
for start_n in range(0, (start_m + 1) * BLOCK_M, BLOCK_N):
start_n = tl.multiple_of(start_n, BLOCK_N)
# -- compute qk ----
k = tl.load(k_ptrs + start_n * stride_kn)
qk = tl.zeros([BLOCK_M, BLOCK_N], dtype=tl.float32)
qk += tl.dot(q, k, trans_b=True)
qk *= sm_scale
qk += tl.where(offs_m[:, None] >= (start_n + offs_n[None, :]), 0, float("-inf"))
# -- compute m_ij, p, l_ij
m_ij = tl.max(qk, 1)
p = tl.exp(qk - m_ij[:, None])
l_ij = tl.sum(p, 1)
# -- update m_i and l_i
m_i_new = tl.maximum(m_i, m_ij)
alpha = tl.exp(m_i - m_i_new)
beta = tl.exp(m_ij - m_i_new)
l_i_new = alpha * l_i + beta * l_ij
# -- update output accumulator --
# scale p
p_scale = beta / l_i_new
p = p * p_scale[:, None]
# scale acc
acc_scale = l_i / l_i_new * alpha
tl.store(t_ptrs, acc_scale)
acc_scale = tl.load(t_ptrs) # BUG: have to store and immediately load
acc = acc * acc_scale[:, None]
# update acc
v = tl.load(v_ptrs + start_n * stride_vk)
p = p.to(q.dtype)
acc += tl.dot(p, v)
# update m_i and l_i
l_i = l_i_new
m_i = m_i_new
# rematerialize offsets to save registers
start_m = tl.program_id(0)
offs_m = start_m * BLOCK_M + tl.arange(0, BLOCK_M)
# write back l and m
l_ptrs = L + off_hz * N_CTX + offs_m
m_ptrs = M + off_hz * N_CTX + offs_m
tl.store(l_ptrs, l_i)
tl.store(m_ptrs, m_i)
# initialize pointers to output
offs_n = tl.arange(0, BLOCK_DMODEL)
off_o = off_hz * stride_oh + offs_m[:, None] * stride_om + offs_n[None, :] * stride_on
out_ptrs = Out + off_o
tl.store(out_ptrs, acc)
@triton.jit
def _bwd_preprocess(
Out, DO, L,
NewDO, Delta,
BLOCK_M: tl.constexpr, D_HEAD: tl.constexpr,
):
off_m = tl.program_id(0) * BLOCK_M + tl.arange(0, BLOCK_M)
off_n = tl.arange(0, D_HEAD)
# load
o = tl.load(Out + off_m[:, None] * D_HEAD + off_n[None, :]).to(tl.float32)
do = tl.load(DO + off_m[:, None] * D_HEAD + off_n[None, :]).to(tl.float32)
denom = tl.load(L + off_m).to(tl.float32)
# compute
do = do / denom[:, None]
delta = tl.sum(o * do, axis=1)
# write-back
tl.store(NewDO + off_m[:, None] * D_HEAD + off_n[None, :], do)
tl.store(Delta + off_m, delta)
@triton.jit
def _bwd_kernel(
Q, K, V, sm_scale, Out, DO,
DQ, DK, DV,
L, M,
D,
stride_qz, stride_qh, stride_qm, stride_qk,
stride_kz, stride_kh, stride_kn, stride_kk,
stride_vz, stride_vh, stride_vk, stride_vn,
Z, H, N_CTX,
num_block,
BLOCK_M: tl.constexpr, BLOCK_DMODEL: tl.constexpr,
BLOCK_N: tl.constexpr,
):
off_hz = tl.program_id(0)
off_z = off_hz // H
off_h = off_hz % H
# offset pointers for batch/head
Q += off_z * stride_qz + off_h * stride_qh
K += off_z * stride_qz + off_h * stride_qh
V += off_z * stride_qz + off_h * stride_qh
DO += off_z * stride_qz + off_h * stride_qh
DQ += off_z * stride_qz + off_h * stride_qh
DK += off_z * stride_qz + off_h * stride_qh
DV += off_z * stride_qz + off_h * stride_qh
for start_n in range(0, num_block):
lo = start_n * BLOCK_M
# initialize row/col offsets
offs_qm = lo + tl.arange(0, BLOCK_M)
offs_n = start_n * BLOCK_M + tl.arange(0, BLOCK_M)
offs_m = tl.arange(0, BLOCK_N)
offs_k = tl.arange(0, BLOCK_DMODEL)
# initialize pointers to value-like data
q_ptrs = Q + (offs_qm[:, None] * stride_qm + offs_k[None, :] * stride_qk)
k_ptrs = K + (offs_n[:, None] * stride_kn + offs_k[None, :] * stride_kk)
v_ptrs = V + (offs_n[:, None] * stride_qm + offs_k[None, :] * stride_qk)
do_ptrs = DO + (offs_qm[:, None] * stride_qm + offs_k[None, :] * stride_qk)
dq_ptrs = DQ + (offs_qm[:, None] * stride_qm + offs_k[None, :] * stride_qk)
# pointer to row-wise quantities in value-like data
D_ptrs = D + off_hz * N_CTX
m_ptrs = M + off_hz * N_CTX
# initialize dv amd dk
dv = tl.zeros([BLOCK_M, BLOCK_DMODEL], dtype=tl.float32)
dk = tl.zeros([BLOCK_M, BLOCK_DMODEL], dtype=tl.float32)
# k and v stay in SRAM throughout
k = tl.load(k_ptrs)
v = tl.load(v_ptrs)
# loop over rows
for start_m in range(lo, num_block * BLOCK_M, BLOCK_M):
offs_m_curr = start_m + offs_m
# load q, k, v, do on-chip
q = tl.load(q_ptrs)
# recompute p = softmax(qk, dim=-1).T
# NOTE: `do` is pre-divided by `l`; no normalization here
qk = tl.dot(q, k, trans_b=True)
qk = tl.where(offs_m_curr[:, None] >= (offs_n[None, :]), qk, float("-inf"))
m = tl.load(m_ptrs + offs_m_curr)
p = tl.exp(qk * sm_scale - m[:, None])
# compute dv
do = tl.load(do_ptrs)
dv += tl.dot(p.to(q.dtype), do, trans_a=True)
# compute dp = dot(v, do)
Di = tl.load(D_ptrs + offs_m_curr)
dp = tl.zeros([BLOCK_M, BLOCK_N], dtype=tl.float32) - Di[:, None]
dp += tl.dot(do, v, trans_b=True)
# compute ds = p * (dp - delta[:, None])
ds = p * dp * sm_scale
# compute dk = dot(ds.T, q)
dk += tl.dot(ds.to(q.dtype), q, trans_a=True)
# # compute dq
dq = tl.load(dq_ptrs, eviction_policy="evict_last")
dq += tl.dot(ds.to(q.dtype), k)
tl.store(dq_ptrs, dq, eviction_policy="evict_last")
# # increment pointers
dq_ptrs += BLOCK_M * stride_qm
q_ptrs += BLOCK_M * stride_qm
do_ptrs += BLOCK_M * stride_qm
# write-back
dv_ptrs = DV + (offs_n[:, None] * stride_qm + offs_k[None, :] * stride_qk)
dk_ptrs = DK + (offs_n[:, None] * stride_kn + offs_k[None, :] * stride_kk)
tl.store(dv_ptrs, dv)
tl.store(dk_ptrs, dk)
class _attention(torch.autograd.Function):
@staticmethod
def forward(ctx, q, k, v, sm_scale):
BLOCK = 128
# shape constraints
Lq, Lk, Lv = q.shape[-1], k.shape[-1], v.shape[-1]
assert Lq == Lk and Lk == Lv
assert Lk in {16, 32, 64, 128}
o = torch.empty_like(q)
grid = (triton.cdiv(q.shape[2], BLOCK), q.shape[0] * q.shape[1])
tmp = torch.empty((q.shape[0] * q.shape[1], q.shape[2]), device=q.device, dtype=torch.float32)
L = torch.empty((q.shape[0] * q.shape[1], q.shape[2]), device=q.device, dtype=torch.float32)
m = torch.empty((q.shape[0] * q.shape[1], q.shape[2]), device=q.device, dtype=torch.float32)
num_warps = 4 if Lk <= 64 else 8
_fwd_kernel[grid](
q, k, v, sm_scale,
tmp, L, m,
o,
q.stride(0), q.stride(1), q.stride(2), q.stride(3),
k.stride(0), k.stride(1), k.stride(2), k.stride(3),
v.stride(0), v.stride(1), v.stride(2), v.stride(3),
o.stride(0), o.stride(1), o.stride(2), o.stride(3),
q.shape[0], q.shape[1], q.shape[2],
BLOCK_M=BLOCK, BLOCK_N=BLOCK,
BLOCK_DMODEL=Lk, num_warps=num_warps,
num_stages=1,
)
ctx.save_for_backward(q, k, v, o, L, m)
ctx.BLOCK = BLOCK
ctx.grid = grid
ctx.sm_scale = sm_scale
ctx.BLOCK_DMODEL = Lk
return o
@staticmethod
def backward(ctx, do):
q, k, v, o, l, m = ctx.saved_tensors
do = do.contiguous()
dq = torch.zeros_like(q, dtype=torch.float32)
dk = torch.empty_like(k)
dv = torch.empty_like(v)
do_scaled = torch.empty_like(do)
delta = torch.empty_like(l)
_bwd_preprocess[(ctx.grid[0] * ctx.grid[1], )](
o, do, l,
do_scaled, delta,
BLOCK_M=ctx.BLOCK, D_HEAD=ctx.BLOCK_DMODEL,
)
# NOTE: kernel currently buggy for other values of `num_warps`
num_warps = 8
_bwd_kernel[(ctx.grid[1],)](
q, k, v, ctx.sm_scale,
o, do_scaled,
dq, dk, dv,
l, m,
delta,
q.stride(0), q.stride(1), q.stride(2), q.stride(3),
k.stride(0), k.stride(1), k.stride(2), k.stride(3),
v.stride(0), v.stride(1), v.stride(2), v.stride(3),
q.shape[0], q.shape[1], q.shape[2],
ctx.grid[0],
BLOCK_M=ctx.BLOCK, BLOCK_N=ctx.BLOCK,
BLOCK_DMODEL=ctx.BLOCK_DMODEL, num_warps=num_warps,
num_stages=1,
)
return dq, dk, dv, None
attention = _attention.apply
@pytest.mark.parametrize('Z, H, N_CTX, D_HEAD', [(3, 2, 2048, 64)])
def test_op(Z, H, N_CTX, D_HEAD, dtype=torch.float16):
torch.manual_seed(20)
q = torch.empty((Z, H, N_CTX, D_HEAD), dtype=dtype, device="cuda").normal_(mean=0, std=.5).requires_grad_()
k = torch.empty((Z, H, N_CTX, D_HEAD), dtype=dtype, device="cuda").normal_(mean=0, std=.5).requires_grad_()
v = torch.empty((Z, H, N_CTX, D_HEAD), dtype=dtype, device="cuda").normal_(mean=0, std=.5).requires_grad_()
sm_scale = 0.3
dout = torch.randn_like(q)
# reference implementation
M = torch.tril(torch.ones((N_CTX, N_CTX), device="cuda"))
p = torch.matmul(q, k.transpose(2, 3)) * sm_scale
for z in range(Z):
for h in range(H):
p[:, :, M == 0] = float("-inf")
p = torch.softmax(p.float(), dim=-1).half()
ref_out = torch.matmul(p, v)
ref_out.backward(dout)
ref_dv, v.grad = v.grad.clone(), None
ref_dk, k.grad = k.grad.clone(), None
ref_dq, q.grad = q.grad.clone(), None
# triton implementation
tri_out = attention(q, k, v, sm_scale)
tri_out.backward(dout)
tri_dv, v.grad = v.grad.clone(), None
tri_dk, k.grad = k.grad.clone(), None
tri_dq, q.grad = q.grad.clone(), None
# compare
triton.testing.assert_almost_equal(ref_out, tri_out)
triton.testing.assert_almost_equal(ref_dv, tri_dv)
triton.testing.assert_almost_equal(ref_dk, tri_dk)
triton.testing.assert_almost_equal(ref_dq, tri_dq)
try:
from flash_attn.flash_attn_interface import flash_attn_func
HAS_FLASH = True
except BaseException:
HAS_FLASH = False
BATCH, N_HEADS, N_CTX, D_HEAD = 4, 48, 4096, 64
# vary seq length for fixed head and batch=4
configs = [triton.testing.Benchmark(
x_names=['N_CTX'],
x_vals=[2**i for i in range(10, 16)],
line_arg='provider',
line_vals=['triton'] + (['flash'] if HAS_FLASH else []),
line_names=['Triton'] + (['Flash'] if HAS_FLASH else []),
styles=[('red', '-'), ('blue', '-')],
ylabel='ms',
plot_name=f'fused-attention-batch{BATCH}-head{N_HEADS}-d{D_HEAD}-{mode}',
args={'H': N_HEADS, 'BATCH': BATCH, 'D_HEAD': D_HEAD, 'dtype': torch.float16, 'mode': mode}
) for mode in ['bwd']]
@triton.testing.perf_report(configs)
def bench_flash_attention(BATCH, H, N_CTX, D_HEAD, mode, provider, dtype=torch.float16, device="cuda"):
assert mode in ['fwd', 'bwd']
warmup = 25
rep = 100
if provider == "triton":
q = torch.randn((BATCH, H, N_CTX, D_HEAD), dtype=dtype, device="cuda", requires_grad=True)
k = torch.randn((BATCH, H, N_CTX, D_HEAD), dtype=dtype, device="cuda", requires_grad=True)
v = torch.randn((BATCH, H, N_CTX, D_HEAD), dtype=dtype, device="cuda", requires_grad=True)
sm_scale = 1.3
fn = lambda: attention(q, k, v, sm_scale)
if mode == 'bwd':
o = fn()
do = torch.randn_like(o)
fn = lambda: o.backward(do, retain_graph=True)
ms = triton.testing.do_bench(fn, percentiles=None, warmup=warmup, rep=rep)
return ms
if provider == "flash":
lengths = torch.full((BATCH,), fill_value=N_CTX, device=device)
cu_seqlens = torch.zeros((BATCH + 1,), device=device, dtype=torch.int32)
cu_seqlens[1:] = lengths.cumsum(0)
qkv = torch.randn((BATCH * N_CTX, 3, H, D_HEAD), dtype=dtype, device=device, requires_grad=True)
fn = lambda: flash_attn_func(qkv, cu_seqlens, 0., N_CTX, causal=True)
if mode == 'bwd':
o = fn()
do = torch.randn_like(o)
fn = lambda: o.backward(do, retain_graph=True)
ms = triton.testing.do_bench(fn, percentiles=None, warmup=warmup, rep=rep)
return ms
# only works on A100 at the moment
# bench_flash_attention.run(save_path='.', print_data=True)
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