def _layer_norm_fwd(
x,
weight,
bias,
eps,
z=None,
out=None,
group_size=None,
norm_before_gate=True,
is_rms_norm=False,
):
M, N = x.shape
if group_size is None:
group_size = N
assert N % group_size == 0
ngroups = N // group_size
assert x.stride(-1) == 1
if z is not None:
assert z.stride(-1) == 1
assert z.shape == (M, N)
assert weight.shape == (N,)
assert weight.stride(-1) == 1
if bias is not None:
assert bias.stride(-1) == 1
assert bias.shape == (N,)
# allocate output
if out is not None:
assert out.shape == x.shape
else:
out = torch.empty_like(x)
assert out.stride(-1) == 1
mean = (
torch.empty((ngroups * M,), dtype=torch.float32, device=x.device)
if not is_rms_norm
else None
)
rstd = torch.empty((ngroups * M,), dtype=torch.float32, device=x.device)
# Less than 64KB per feature: enqueue fused kernel
MAX_FUSED_SIZE = 65536 // x.element_size()
BLOCK_N = min(MAX_FUSED_SIZE, triton.next_power_of_2(group_size))
if group_size > BLOCK_N:
raise RuntimeError("This layer norm doesn't support feature dim >= 64KB.")
# heuristics for number of warps
num_warps = min(max(BLOCK_N // 256, 1), 8)
grid = (M, ngroups)
with torch.cuda.device(x.device.index):
_layer_norm_fwd_1pass_kernel[grid](
x,
out,
weight,
bias,
z,
mean,
rstd,
x.stride(0),
out.stride(0),
z.stride(0) if z is not None else 0,
M,
group_size,
eps,
BLOCK_N=BLOCK_N,
NORM_BEFORE_GATE=norm_before_gate,
IS_RMS_NORM=is_rms_norm,
num_warps=num_warps,
)
return out, mean, rstd