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import triton
import triton.language as tl
from typing import Optional
BLOCK_M = 128
ALLOW_TF32 = True
@triton.jit
def _compute_expert_block(
E_idx, E_mask,
M_in_idx,
N_block, N_mask,
X_ptr, stride_xm, stride_xk,
W_ptr, stride_we, stride_wk, stride_wn,
K,
acc,
no_k_mask,
BLOCK_K,
allow_tf32=True,
):
K_block = tl.arange(0, BLOCK_K)
X_blk_ptrs = X_ptr + M_in_idx[:, None] * stride_xm + K_block[None, :] * stride_xk
W_blk_ptrs = W_ptr + K_block[:, None] * stride_wk + N_block[None, :] * stride_wn + E_idx * stride_we
iters = tl.cdiv(K, BLOCK_K)
for K_block_id in range(iters):
if no_k_mask:
x = tl.load(X_blk_ptrs, mask=E_mask[:, None])
w = tl.load(W_blk_ptrs, mask=N_mask[None, :])
else:
K_mask = (K_block_id * BLOCK_K + K_block) < K
x = tl.load(X_blk_ptrs, mask=E_mask[:, None] & K_mask[None, :])
w = tl.load(W_blk_ptrs, mask=K_mask[:, None] & N_mask[None, :])
X_blk_ptrs += BLOCK_K * stride_xk
W_blk_ptrs += BLOCK_K * stride_wk
acc = tl.dot(x, w, acc, allow_tf32=allow_tf32)
return acc
def _scatter2scatter_configs():
return [
triton.Config({'BLOCK_N': 128, 'BLOCK_K': 32}, num_stages=4, num_warps=4),
]
@triton.autotune(configs=_scatter2scatter_configs(), key=['M', 'N', 'K'], )
@triton.heuristics({
"NO_K_MASK": lambda args: (args['K'] % args['BLOCK_K']) == 0,
"NO_N_MASK": lambda args: (args['N'] % args['BLOCK_N']) == 0,
})
@triton.jit
def _scatter2scatter(
X_ptr, stride_xm: tl.constexpr, stride_xk: tl.constexpr,
W_ptr, stride_we, stride_wk: tl.constexpr, stride_wn: tl.constexpr,
Y_ptr, stride_ym: tl.constexpr, stride_yn: tl.constexpr,
B_ptr, stride_be: tl.constexpr, stride_bn: tl.constexpr,
grouped_idx_ptr, expert_idxs_ptr,
# block_start_idx_ptr,
FAN_OUT: tl.constexpr,
M, K: tl.constexpr, N: tl.constexpr, E: tl.constexpr,
BLOCK_M: tl.constexpr, BLOCK_N: tl.constexpr, BLOCK_K: tl.constexpr,
ACC_TYPE: tl.constexpr,
# OUT_M,
allow_tf32: tl.constexpr,
x_grouped: tl.constexpr, y_grouped: tl.constexpr,
NO_K_MASK: tl.constexpr, NO_N_MASK: tl.constexpr
):
pid = tl.program_id(axis=0)
N_BLOCK_COUNT = tl.cdiv(N, BLOCK_N)
M_block_id = pid // N_BLOCK_COUNT
N_block_id = pid % N_BLOCK_COUNT
M_block = M_block_id * BLOCK_M + tl.arange(0, BLOCK_M)
N_block = N_block_id * BLOCK_N + tl.arange(0, BLOCK_N)
N_mask = N_block < N
M_boundary_mask = M_block < (FAN_OUT * M)
E_idxs = tl.load(expert_idxs_ptr + M_block, mask=M_boundary_mask, other=E)
no_k_mask = K % BLOCK_K == 0
acc = tl.zeros((BLOCK_M, BLOCK_N), dtype=ACC_TYPE)
E_first_idx = tl.min(E_idxs)
E_last_idx = tl.minimum(tl.max(E_idxs), E - 1)
M_idx = tl.load(grouped_idx_ptr + M_block, mask=M_boundary_mask).to(tl.int32)
for E_idx in range(E_first_idx, E_last_idx + 1):
E_mask = E_idxs == E_idx
E_M_idx = M_idx
if x_grouped:
M_in_idx = M_block
else:
M_in_idx = E_M_idx // FAN_OUT
acc = _compute_expert_block(
E_idx, E_mask,
M_in_idx, N_block, N_mask,
X_ptr, stride_xm, stride_xk,
W_ptr, stride_we, stride_wk, stride_wn,
K,
acc,
no_k_mask,
BLOCK_K,
allow_tf32=allow_tf32,
)
if B_ptr is not None:
B_blk_ptrs = B_ptr + E_idxs[:, None] * stride_be + N_block[None, :] * stride_bn
acc += tl.load(B_blk_ptrs, mask=M_boundary_mask[:, None] & N_mask[None, :])
if y_grouped:
M_out_idx = M_block
else:
M_out_idx = M_idx
Y_blk_ptrs = Y_ptr + (M_out_idx[:, None] * stride_ym + N_block[None, :] * stride_yn)
tl.store(Y_blk_ptrs, acc, mask=M_boundary_mask[:, None] & N_mask[None, :])
def scatter2scatter(X, W, sorted_expert_idxs, sorted_scattered_idxs, k,
b=None,
x_grouped=False, y_grouped=False,
out=None):
assert sorted_scattered_idxs.size(0) == sorted_expert_idxs.size(0)
assert sorted_scattered_idxs.size(0) == X.size(0) * k
# Pre-kernel setup
y_dim = W.size(-1)
L_scattered = sorted_expert_idxs.size(0)
if out is None:
output = torch.empty((L_scattered, y_dim), device=X.device, dtype=X.dtype)
else:
assert out.size(0) == L_scattered and out.size(1) == y_dim
output = out
scatter2scatter_compileable(output, W, X, k, sorted_expert_idxs, sorted_scattered_idxs,
b, x_grouped, y_grouped)
return output
@torch.library.custom_op("scattermoe::scatter2scatter", mutates_args={"output"})
def scatter2scatter_compileable(
output: torch.Tensor,
W: torch.Tensor,
X: torch.Tensor,
k: int,
sorted_expert_idxs: torch.Tensor,
sorted_scattered_idxs: torch.Tensor,
b: Optional[torch.Tensor],
x_grouped: bool, y_grouped: bool) -> None:
def grid(META):
grid_num = (
triton.cdiv(sorted_expert_idxs.size(0), META["BLOCK_M"]) *
triton.cdiv(META['N'], META['BLOCK_N']),
)
return grid_num
if b is None:
b = None
stride_be = stride_bk = 0
else:
stride_be, stride_bk = b.stride()
_scatter2scatter[grid](
# X_ptr, stride_xm, stride_xk,
X, X.stride(0), X.stride(1),
# W_ptr, stride_we, stride_wk, stride_wn,
W, W.stride(0), W.stride(1), W.stride(2),
# Y_ptr, stride_ym, stride_yn,
output, output.stride(0), output.stride(1),
# B_ptr, stride_be, stride_bk
b, stride_be, stride_bk,
grouped_idx_ptr=sorted_scattered_idxs,
expert_idxs_ptr=sorted_expert_idxs,
# block_start_idx_ptr=padded_block_idxs,
FAN_OUT=k,
M=X.size(0),
K=X.size(1),
N=output.size(1), E=W.size(0),
BLOCK_M=BLOCK_M,
ACC_TYPE=tl.float32,
allow_tf32=ALLOW_TF32,
x_grouped=x_grouped, y_grouped=y_grouped,
)
def _config_XtY():
return [
triton.Config({'BLOCK_N': 128, 'BLOCK_K': 128, 'BLOCK_M': 32}, num_stages=4, num_warps=4),
]
def group_bwd_W(DY, X, expert_offsets, E, has_bias=False):
DWt = torch.zeros((E, DY.size(-1), X.size(-1)), device=DY.device, dtype=DY.dtype)
DW = DWt.permute(0, 2, 1)
if has_bias:
Db = torch.zeros((E, DY.size(-1)), device=DY.device, dtype=DY.dtype)
else:
Db = None
groupXtY_compileable(E, DW, Db, DY, X, expert_offsets)
return DW, Db
@torch.library.custom_op("scattermoe::groupXtY", mutates_args={"DW"})
def groupXtY_compileable(
E: int,
DW: torch.Tensor,
Db: Optional[torch.Tensor],
DY: torch.Tensor,
X: torch.Tensor,
expert_offsets: torch.Tensor) -> None:
def grid(META):
grid = (
E * triton.cdiv(META['K'], META['BLOCK_K']),
triton.cdiv(META['N'], META['BLOCK_N']),
)
return grid
if Db is None:
stride_dbe = 0
stride_dbn = 0
else:
stride_dbe, stride_dbn = Db.stride()
_groupXtY[grid](
# DY_ptr, stride_dym, stride_dyk,
DY, DY.stride(0), DY.stride(1),
# X_ptr, stride_xm, stride_xn,
X, X.stride(0), X.stride(1),
# DW_ptr, stride_dwe, stride_dwk, stride_dwn,
DW, DW.stride(0), DW.stride(1), DW.stride(2),
# Db_ptr, stride_dwe, stride_dbn,
Db, stride_dbe, stride_dbn,
# expert_offsets_ptr,
expert_offsets,
# K: tl.constexpr, N: tl.constexpr,
M=DY.size(0), N=DY.size(-1), K=X.size(-1),
# ACC_TYPE: tl.constexpr,
ACC_TYPE=tl.float32,
allow_tf32=ALLOW_TF32
)
@triton.autotune(configs=_config_XtY(), key=['M', 'N', 'K'], )
@triton.heuristics({
"NO_K_MASK": lambda args: (args['K'] % args['BLOCK_K']) == 0,
"NO_N_MASK": lambda args: (args['N'] % args['BLOCK_N']) == 0,
})
@triton.jit
def _groupXtY(
DY_ptr, stride_dym, stride_dyk,
X_ptr, stride_xm, stride_xn,
DW_ptr, stride_dwe, stride_dwk, stride_dwn,
Db_ptr, stride_dbe, stride_dbn,
expert_offsets_ptr,
M, K: tl.constexpr, N: tl.constexpr,
BLOCK_M: tl.constexpr, BLOCK_N: tl.constexpr, BLOCK_K: tl.constexpr,
ACC_TYPE: tl.constexpr,
allow_tf32: tl.constexpr,
NO_K_MASK: tl.constexpr, NO_N_MASK: tl.constexpr
):
pid0 = tl.program_id(axis=0)
pid1 = tl.program_id(axis=1)
num0 = tl.num_programs(0)
num1 = tl.num_programs(1)
# pid1, pid0 = tl.swizzle2d(pid1, pid0, num1, num0, 128)
pid0, pid1 = tl.swizzle2d(pid0, pid1, num0, num1, 4)
K_BLOCK_COUNT = tl.cdiv(K, BLOCK_K)
E_idx = pid0 // K_BLOCK_COUNT
K_block_id = pid0 % K_BLOCK_COUNT
N_block_id = pid1
if E_idx == 0:
start_idx = 0
else:
start_idx = tl.load(expert_offsets_ptr + E_idx - 1).to(tl.int32)
end_idx = tl.load(expert_offsets_ptr + E_idx).to(tl.int32)
if end_idx > start_idx:
M_block = tl.max_contiguous(start_idx + tl.arange(0, BLOCK_M), BLOCK_M)
K_block = K_block_id * BLOCK_K + tl.arange(0, BLOCK_K)
K_mask = K_block < K
K_block = tl.max_contiguous(tl.multiple_of(K_block % K, BLOCK_K), BLOCK_K)
N_block = N_block_id * BLOCK_N + tl.arange(0, BLOCK_N)
N_mask = N_block < N
N_block = tl.max_contiguous(tl.multiple_of(N_block % N, BLOCK_N), BLOCK_N)
M_idxs = M_block
xt_blk_ptrs = X_ptr + K_block[:, None] * stride_xn + M_idxs[None, :] * stride_xm
dy_blk_ptrs = DY_ptr + M_idxs[:, None] * stride_dym + N_block[None, :] * stride_dyk
if (Db_ptr is not None) and (K_block_id == 0):
_xty_and_bias(
E_idx, start_idx, end_idx,
M_block,
K_block, K_mask, N_block, N_mask,
dy_blk_ptrs, stride_dym,
xt_blk_ptrs, stride_xm,
DW_ptr, stride_dwe, stride_dwk, stride_dwn,
Db_ptr, stride_dbe, stride_dbn,
BLOCK_M, BLOCK_N, BLOCK_K, ACC_TYPE,
allow_tf32, NO_K_MASK, NO_N_MASK,
compute_bias=True
)
else:
_xty_and_bias(
E_idx, start_idx, end_idx,
M_block,
K_block, K_mask, N_block, N_mask,
dy_blk_ptrs, stride_dym,
xt_blk_ptrs, stride_xm,
DW_ptr, stride_dwe, stride_dwk, stride_dwn,
Db_ptr, stride_dbe, stride_dbn,
BLOCK_M, BLOCK_N, BLOCK_K, ACC_TYPE,
allow_tf32, NO_K_MASK, NO_N_MASK,
compute_bias=False
)
@triton.jit
def _xty_and_bias(
E_idx, start_idx, end_idx,
M_block,
K_block, K_mask, N_block, N_mask,
dy_blk_ptrs, stride_dym,
xt_blk_ptrs, stride_xm,
DW_ptr, stride_dwe, stride_dwk, stride_dwn,
Db_ptr, stride_dbe, stride_dbn,
BLOCK_M, BLOCK_N, BLOCK_K, ACC_TYPE,
allow_tf32, NO_K_MASK, NO_N_MASK,
compute_bias: tl.constexpr
):
if compute_bias:
db_acc = tl.zeros((BLOCK_N,), dtype=ACC_TYPE)
else:
db_acc = None
acc = tl.zeros((BLOCK_K, BLOCK_N), dtype=ACC_TYPE)
iters = tl.cdiv(end_idx - start_idx, BLOCK_M)
for i in range(0, iters):
M_mask = (i * BLOCK_M + M_block) < end_idx
if NO_K_MASK:
xt = tl.load(xt_blk_ptrs, mask=M_mask[None, :])
else:
xt = tl.load(xt_blk_ptrs, mask=K_mask[:, None] & M_mask[None, :])
if NO_N_MASK:
dy = tl.load(dy_blk_ptrs, mask=M_mask[:, None])
else:
dy = tl.load(dy_blk_ptrs, mask=M_mask[:, None] & N_mask[None, :])
acc += tl.dot(xt, dy, out_dtype=ACC_TYPE, allow_tf32=allow_tf32)
xt_blk_ptrs += BLOCK_M * stride_xm
dy_blk_ptrs += BLOCK_M * stride_dym
if compute_bias:
db_acc += tl.sum(dy, axis=0)
DW_blk_ptrs = DW_ptr + E_idx * stride_dwe + K_block[:, None] * stride_dwk + N_block[None, :] * stride_dwn
acc = acc.to(DW_blk_ptrs.dtype.element_ty)
tl.store(DW_blk_ptrs, acc, mask=K_mask[:, None] & N_mask[None, :])
if compute_bias:
Db_blk_ptrs = Db_ptr + E_idx * stride_dbe + N_block * stride_dbn
tl.store(Db_blk_ptrs, db_acc, mask=N_mask)
def _config_grouping():
return [
triton.Config({'BLOCK_N': 256, 'BLOCK_K': 128}, num_stages=4, num_warps=4),
# triton.Config({'BLOCK_N': 128, 'BLOCK_K': 64}, num_stages=4, num_warps=4),
# triton.Config({'BLOCK_N': 64, 'BLOCK_K': 32}, num_stages=4, num_warps=4),
]
def group(A, sorted_expert_idxs, coeff=None, fan_out=1, out=None):
N = sorted_expert_idxs.size(0)
K = A.size(1)
assert A.size(0) * fan_out == N
if out is not None:
Y = out
else:
Y = torch.empty((N, K), dtype=A.dtype, device=A.device)
group_compileable(A, K, N, Y, coeff, coeff is not None, fan_out, sorted_expert_idxs)
return Y
@torch.library.custom_op("scattermoe::group", mutates_args={"Y"})
def group_compileable(
A: torch.Tensor,
K: int,
N: int,
Y: torch.Tensor,
coeff: torch.Tensor, has_coeff: bool,
fan_out: int,
sorted_expert_idxs: torch.Tensor) -> None:
def grid(META):
grid_num = (triton.cdiv(META['N'], META['BLOCK_N']),)
return grid_num
_group[grid](
# A_ptr, stride_an, stride_ai,
A, A.stride(0), A.stride(1), has_coeff, coeff, fan_out,
# Y_ptr, stride_yn, stride_yk,
Y, Y.stride(0), Y.stride(1),
# grouped_idx_ptr,
sorted_expert_idxs,
# N: tl.constexpr, K: tl.constexpr,
N, K
)
@triton.autotune(configs=_config_grouping(), key=['K'])
@triton.heuristics({
"NO_K_MASK": lambda args: (args['K'] % args['BLOCK_K']) == 0
})
@triton.jit
def _group(
src_ptr, stride_sn, stride_sk, has_coeff: tl.constexpr, coeff_ptr, FAN_OUT: tl.constexpr,
tgt_ptr, stride_tn, stride_ti,
grouped_idx_ptr,
N, K: tl.constexpr,
BLOCK_N: tl.constexpr, BLOCK_K: tl.constexpr,
NO_K_MASK: tl.constexpr
):
pid = tl.program_id(axis=0)
N_block_id = pid
N_blk = N_block_id * BLOCK_N + tl.arange(0, BLOCK_N)
N_mask = N_blk < N
N_blk = tl.max_contiguous(tl.multiple_of(N_blk % N, BLOCK_N), BLOCK_N)
N_idx = tl.load(grouped_idx_ptr + N_blk, mask=N_mask, other=0)
K_blk = tl.arange(0, BLOCK_K)
src_blk_ptrs = src_ptr + (N_idx // FAN_OUT)[:, None] * stride_sn + K_blk[None, :] * stride_sk
tgt_blk_ptrs = tgt_ptr + N_blk[:, None] * stride_tn + K_blk[None, :] * stride_ti
if has_coeff:
c = tl.load(coeff_ptr + N_idx, mask=N_mask)[:, None]
iters = tl.cdiv(K, BLOCK_K)
for i in range(0, iters):
if NO_K_MASK or i < iters - 1:
block = tl.load(src_blk_ptrs, mask=N_mask[:, None])
if has_coeff:
block *= c
tl.store(tgt_blk_ptrs, block, mask=N_mask[:, None])
else:
K_mask = (i * BLOCK_K + K_blk) < K
mask = N_mask[:, None] & K_mask[None, :]
block = tl.load(src_blk_ptrs, mask=mask)
if has_coeff:
block *= c
tl.store(tgt_blk_ptrs, block, mask=mask)
src_blk_ptrs += BLOCK_K * stride_sk
tgt_blk_ptrs += BLOCK_K * stride_ti
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