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example_linear_attn_fwd.py
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import torch
import tilelang
import tilelang.language as T
from tilelang.profiler import do_bench
import argparse
from fla.ops.linear_attn import fused_chunk_linear_attn # We compare with FLA
from fla.modules.l2norm import l2norm_fwd
from einops import rearrange
from typing import Optional, Tuple
@tilelang.jit(
out_idx=[4],
pass_configs={
tilelang.PassConfigKey.TL_DISABLE_TMA_LOWER: True,
tilelang.PassConfigKey.TL_DISABLE_WARP_SPECIALIZED: True,
},
)
def tl_fused_chunk_fwd_kernel(
B,
S,
H,
DK,
DV,
dtype: T.dtype = T.float16,
scale: float = None,
) -> torch.Tensor:
if scale is None:
scale = DK**-0.5
accum_dtype = T.float32
chunk_size = 64
BK = BV = 64 # Set to 128 can be faster, but has some numerical differences with FLA
assert S % chunk_size == 0 and DK % BK == 0 and DV % BV == 0
NK = tilelang.cdiv(DK, BK)
NV = tilelang.cdiv(DV, BV)
NT = tilelang.cdiv(S, chunk_size)
@T.prim_func
def fused_chunk_linear_attn_fwd(
Q: T.Tensor([B, S, H, DK], dtype), # type: ignore
K: T.Tensor([B, S, H, DK], dtype), # type: ignore
V: T.Tensor([B, S, H, DV], dtype), # type: ignore
O: T.Tensor([B, S, H, DV], accum_dtype), # type: ignore
final_state: T.Tensor([B, H, DK, DV], accum_dtype),
): # type: ignore
with T.Kernel(NV, NK, B * H) as (i_v, i_k, i_bh):
i_b = i_bh // H
i_h = i_bh % H
q = T.alloc_shared([chunk_size, BK], dtype)
k = T.alloc_shared([chunk_size, BK], dtype)
v = T.alloc_shared([chunk_size, BV], dtype)
h = T.alloc_fragment([BK, BV], accum_dtype)
h_shared = T.alloc_shared([BK, BV], dtype)
s = T.alloc_fragment([chunk_size, chunk_size], accum_dtype)
s_shared = T.alloc_shared([chunk_size, chunk_size], dtype)
o = T.alloc_fragment([chunk_size, BV], accum_dtype)
o_shared = T.alloc_shared([chunk_size, BV], accum_dtype)
T.use_swizzle(10)
T.clear(h)
for i in T.Pipelined(0, NT):
for row, col in T.Parallel(chunk_size, BK):
q[row, col] = Q[i_b, i * chunk_size + row, i_h, i_k * BK + col] * scale
T.copy(K[i_b, i * chunk_size : (i + 1) * chunk_size, i_h, i_k * BK : (i_k + 1) * BK], k)
T.copy(V[i_b, i * chunk_size : (i + 1) * chunk_size, i_h, i_v * BV : (i_v + 1) * BV], v)
T.gemm(q, k, s, clear_accum=True, transpose_B=True)
for row, col in T.Parallel(chunk_size, chunk_size):
s_shared[row, col] = T.if_then_else(row >= col, s[row, col], 0)
T.gemm(s_shared, v, o, clear_accum=True)
T.copy(h, h_shared)
T.gemm(k, v, h, transpose_A=True)
T.gemm(q, h_shared, o)
T.copy(o, o_shared)
T.atomic_add(O[i_b, i * chunk_size : (i + 1) * chunk_size, i_h, i_v * BV : (i_v + 1) * BV], o_shared)
# Output final state
T.copy(h, final_state[i_b, i_h, i_k * BK : (i_k + 1) * BK, i_v * BV : (i_v + 1) * BV])
return fused_chunk_linear_attn_fwd
def tl_fused_chunk_fwd(q, k, v):
B, S, H, D = q.shape
kernel = tl_fused_chunk_fwd_kernel(B, S, H, D, D)
print(kernel.get_kernel_source())
o = torch.zeros((B, S, H, D), device="cuda", dtype=torch.float32)
h = kernel(q, k, v, o)
return o, h
def ref_program(q: torch.Tensor, k: torch.Tensor, v: torch.Tensor, scale: Optional[float] = None) -> Tuple[torch.Tensor, torch.Tensor]:
q, k, v = q.float(), k.float(), v.float()
if scale is None:
scale = q.shape[-1] ** -0.5
chunk_size = 64
q = rearrange(q, "b (n c) h d -> b h n c d", c=chunk_size) * scale
k = rearrange(k, "b (n c) h d -> b h n c d", c=chunk_size)
v = rearrange(v, "b (n c) h d -> b h n c d", c=chunk_size)
kv = k.transpose(-1, -2) @ v
kv = kv.cumsum(2)
h = kv[:, :, -1, :, :]
kv = torch.cat([torch.zeros_like(kv[:, :, :1]), kv[:, :, :-1]], dim=2)
inter = q @ kv
intra = (
(q @ k.transpose(-1, -2)).masked_fill_(torch.triu(torch.ones(chunk_size, chunk_size, dtype=bool, device=q.device), diagonal=1), 0)
) @ v
o = inter + intra
return rearrange(o, "b h n c d -> b (n c) h d"), h
def main(B=1, S=512, H=16, D=128):
q = torch.randn((B, S, H, D), device="cuda", dtype=torch.float16)
k = torch.randn((B, S, H, D), device="cuda", dtype=torch.float16)
v = torch.randn((B, S, H, D), device="cuda", dtype=torch.float16)
# qk norm is necessary for linear attn
q, _ = l2norm_fwd(q)
k, _ = l2norm_fwd(k)
o, h = tl_fused_chunk_fwd(q, k, v)
o_ref, h_ref = ref_program(q, k, v)
assert torch.allclose(o, o_ref, atol=1e-2, rtol=1e-2), f"o max err: {(o - o_ref).abs().max()}"
assert torch.allclose(h, h_ref, atol=1e-2, rtol=1e-2), f"h max err: {(h - h_ref).abs().max()}"
print("Passed all tests!✅")
t1 = do_bench(lambda: fused_chunk_linear_attn(q, k, v, output_final_state=True, normalize=False), backend="cupti")
t2 = do_bench(lambda: tl_fused_chunk_fwd(q, k, v), backend="cupti")
print(f"Triton latency: {t1:.3f} ms")
print(f"TileLang latency: {t2:.3f} ms")
print(f"Speedup: {t1 / t2:.3f}x")
def run_regression_perf(B=1, S=512, H=16, D=128):
q = torch.randn((B, S, H, D), device="cuda", dtype=torch.float16)
k = torch.randn((B, S, H, D), device="cuda", dtype=torch.float16)
v = torch.randn((B, S, H, D), device="cuda", dtype=torch.float16)
q, _ = l2norm_fwd(q)
k, _ = l2norm_fwd(k)
B, S, H, D = q.shape
kernel = tl_fused_chunk_fwd_kernel(B, S, H, D, D)
o = torch.zeros((B, S, H, D), device="cuda", dtype=torch.float32)
return do_bench(lambda: kernel(q, k, v, o), backend="cupti")
if __name__ == "__main__":
parser = argparse.ArgumentParser()
parser.add_argument("--B", type=int, default=8, help="Batch size")
parser.add_argument("--S", type=int, default=1024, help="Seq len")
parser.add_argument("--H", type=int, default=32, help="Num heads")
parser.add_argument("--D", type=int, default=128, help="Head dim")
args = parser.parse_args()
main(args.B, args.S, args.H, args.D)