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chore: import upstream snapshot with attribution
2026-07-13 13:36:25 +08:00

1260 lines
65 KiB
Python

# Licensed to the Apache Software Foundation (ASF) under one
# or more contributor license agreements. See the NOTICE file
# distributed with this work for additional information
# regarding copyright ownership. The ASF licenses this file
# to you under the Apache License, Version 2.0 (the
# "License"); you may not use this file except in compliance
# with the License. You may obtain a copy of the License at
#
# http://www.apache.org/licenses/LICENSE-2.0
#
# Unless required by applicable law or agreed to in writing,
# software distributed under the License is distributed on an
# "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
# KIND, either express or implied. See the License for the
# specific language governing permissions and limitations
# under the License.
# pylint: disable=invalid-name
# ruff: noqa: E501, F841
"""Operators for tree attention."""
import math
from typing import Any
from tvm import s_tir, tirx
from tvm.runtime import DataType
from tvm.script import tirx as T
from tvm.target import Target
# The helpers below are shared with the main KV-cache kernels. They live in
# ``_kernel_common`` so that ``kv_cache.py``, this file, and the split kernel
# modules can all pull from a single source of truth.
from ._kernel_common import (
_alloc_mha_qkvo_buffers,
_alloc_softmax_state_buffers,
_alloc_tile_walk_state,
_declare_length_info,
_get_kv_chunk_len,
_get_seq_offset,
_rope,
check_thread_limits,
)
# mypy: disable-error-code="attr-defined,valid-type,no-redef"
# pylint: disable=too-many-statements,too-many-locals,too-many-arguments
def _check_tree_order(tree_order_indptr, tree_order, batch, row, col, kv_len, qo_len):
tree_order_len = tree_order_indptr[batch + 1] - tree_order_indptr[batch]
tree_start = kv_len - tree_order_len
child_idx_in_tree = row + tree_order_len - qo_len
parent_idx_in_tree = col - tree_start
return tirx.all(
col < kv_len,
tirx.any(
col < tree_start,
tirx.all(
tree_order[tree_order_indptr[batch] + child_idx_in_tree, 0]
>= tree_order[tree_order_indptr[batch] + parent_idx_in_tree, 0],
tree_order[tree_order_indptr[batch] + child_idx_in_tree, 0]
< tree_order[tree_order_indptr[batch] + parent_idx_in_tree, 1],
),
),
)
def tree_attn_cpu(h_kv, h_q, d, dtype, rope_scaling: dict[str, Any]):
"""Generate tree attention kernel for batched tree attention.
Parameters
----------
h_kv : int
Number of heads for key and value.
h_q : int
Number of heads for query.
d : int
Hidden dimension.
dtype : str
Data type.
target : Target
The target device.
Returns
-------
mod : tvm.IRModule
The generated IR module.
"""
group_size = h_q // h_kv
# fmt: off
@T.prim_func(s_tir=True)
def batch_tree_attn( # pylint: disable=too-many-branches,line-too-long
var_q: T.handle, # [total_len, h_q, d]
var_q_indptr: T.handle, # [batch_size + 1]
var_k: T.handle, # [total_len, h_kv, d]
var_v: T.handle, # [total_len, h_kv, d]
var_kv_indptr: T.handle, # [batch_size + 1], kv_indptr should be the same as q_indptr in this case
var_q_rope_position: T.handle, # [total_q_len]
var_mn_indptr: T.handle, # [batch_size + 1]
var_mask: T.handle, # [mn_indptr[batch_size]]
var_output: T.handle, # [total_len, h_q, d]
var_lse: T.handle, # [total_len, h_q]
rotary_mode: T.int32,
rope_scale: T.float32,
rope_theta: T.float32,
sm_scale: T.float32,
):
qo_len = T.int32()
kv_len = T.int32()
q_indptr_elem_offset = T.int32()
kv_indptr_elem_offset = T.int32()
q_rope_position_elem_offset = T.int32()
mn_indptr_elem_offset = T.int32()
mask_elem_offset = T.int32()
tree_size = T.int32()
batch_size_plus_1 = T.int32()
q = T.match_buffer(var_q, (qo_len, h_q, d), dtype)
q_indptr = T.match_buffer(
var_q_indptr, (batch_size_plus_1,), "int32", elem_offset=q_indptr_elem_offset
)
k = T.match_buffer(var_k, (kv_len, h_kv, d), dtype)
v = T.match_buffer(var_v, (kv_len, h_kv, d), dtype)
kv_indptr = T.match_buffer(
var_kv_indptr, (batch_size_plus_1,), "int32", elem_offset=kv_indptr_elem_offset
)
q_rope_position = T.match_buffer(
var_q_rope_position, (qo_len,), "int32", elem_offset=q_rope_position_elem_offset
)
mn_indptr = T.match_buffer(
var_mn_indptr, (batch_size_plus_1,), "int32", elem_offset=mn_indptr_elem_offset
)
mask = T.match_buffer(var_mask, (tree_size, 2), "int32", elem_offset=mask_elem_offset)
output = T.match_buffer(var_output, (qo_len, h_q, d), dtype)
lse = T.match_buffer(var_lse, (qo_len, h_q), "float32") # pylint: disable=unused-variable
for b in T.serial(batch_size_plus_1 - 1):
with T.sblock("attn"):
softmax_sum = T.sblock_alloc_buffer([h_q], "float32")
m_prev = T.sblock_alloc_buffer([h_q], "float32")
m_new = T.sblock_alloc_buffer([h_q], "float32")
d_prev = T.sblock_alloc_buffer([h_q], "float32")
d_new = T.sblock_alloc_buffer([h_q], "float32")
p_sum = T.sblock_alloc_buffer([d], "float32")
max_score = T.sblock_alloc_buffer([h_q], "float32")
attention_scores = T.sblock_alloc_buffer([kv_len, h_q], "float32")
exp_scores = T.sblock_alloc_buffer([kv_len, h_q], "float32")
attention_score = T.sblock_alloc_buffer(
[
1,
],
"float32",
)
query_val = T.sblock_alloc_buffer(
[
1,
],
"float32",
)
key_val = T.sblock_alloc_buffer(
[
1,
],
"float32",
)
result = T.sblock_alloc_buffer(
[
1,
],
"float32",
)
for q_idx in T.serial(q_indptr[b + 1] - q_indptr[b]):
for i in T.serial(h_q):
max_score[i] = -5e4
m_prev[i] = -5e4
d_prev[i] = 1.0
for k_idx in T.serial(kv_indptr[b + 1] - kv_indptr[b]):
for h in T.serial(h_q):
h_kv_idx: T.let[T.int32] = h // group_size
if _check_tree_order(
row=q_idx,
col=k_idx,
batch=b,
tree_order=mask,
tree_order_indptr=mn_indptr,
kv_len=kv_indptr[b + 1] - kv_indptr[b],
qo_len=q_indptr[b + 1] - q_indptr[b],
):
result[0] = 0.0
for d_idx in T.serial(d):
query_val[0] = T.if_then_else(
rotary_mode == 1,
_rope(
q,
q_rope_position[q_indptr[b] + q_idx],
d,
rope_theta,
rope_scale,
(q_indptr[b] + q_idx, h, d_idx),
dtype,
rope_scaling,
),
q[q_indptr[b] + q_idx, h, d_idx],
)
key_val[0] = T.if_then_else(
rotary_mode == 1,
_rope(
k,
q_rope_position[kv_indptr[b] + k_idx],
d,
rope_theta,
rope_scale,
(kv_indptr[b] + k_idx, h_kv_idx, d_idx),
dtype,
rope_scaling,
),
k[kv_indptr[b] + k_idx, h_kv_idx, d_idx],
)
result[0] += query_val[0] * key_val[0]
attention_score[0] = (
result[0] * math.log2(math.exp(1)) * sm_scale
)
else:
attention_score[0] = -5e4 * math.log2(math.exp(1)) * sm_scale
attention_scores[k_idx, h] = attention_score[0]
max_score[h] = T.max(max_score[h], attention_score[0])
m_new[h] = T.max(m_prev[h], max_score[h])
for h in T.serial(h_q):
d_new[h] = d_prev[h] * T.exp2(m_prev[h] - m_new[h])
for h in T.serial(h_q):
softmax_sum[h] = 0.0
for k_idx in T.serial(kv_indptr[b + 1] - kv_indptr[b]):
exp_scores[k_idx, h] = T.exp2(attention_scores[k_idx, h] - m_new[h])
softmax_sum[h] += exp_scores[k_idx, h]
d_new[h] += softmax_sum[h]
for h in T.serial(h_q):
h_kv_idx: T.let[T.int32] = h // group_size
for i in T.serial(d):
p_sum[i] = 0.0
for v_idx in T.serial(kv_indptr[b + 1] - kv_indptr[b]):
weight: T.let[T.float32] = exp_scores[v_idx, h] / d_new[h]
for i in T.serial(d):
p_sum[i] += v[kv_indptr[b] + v_idx, h_kv_idx, i] * weight
for i in T.serial(d):
output[q_indptr[b] + q_idx, h, i] = p_sum[i]
lse[q_indptr[b] + q_idx, h] = m_new[h] + T.log2(d_new[h])
# fmt: on
# pylint: enable=line-too-long,too-many-branches
return batch_tree_attn
def tree_attn(h_kv, h_q, d, dtype, rope_scaling: dict[str, Any], target: Target): # pylint: disable=unused-argument
"""Generate tree attention kernel for batched tree attention.
Parameters
----------
h_kv : int
Number of heads for key and value.
h_q : int
Number of heads for query.
d : int
Hidden dimension.
dtype : str
Data type.
target : Target
The target device.
Returns
-------
mod : tvm.IRModule
The generated IR module.
"""
# pylint: disable=invalid-name,line-too-long
NUM_BLKS = 16
LOAD_VEC = 8 // ((DataType(dtype).bits + 7) // 8) # 8 bytes
group_size = h_q // h_kv
bdx = 32
num_warps = 4
tile_x, tile_y, tile_z = (
64 // ((DataType(dtype).bits + 7) // 8) // max(d // 128, 1),
d,
64 // ((DataType(dtype).bits + 7) // 8) // max(d // 128, 1),
)
original_tile_y = tile_y
original_tile_z = tile_z
while (tile_x * tile_z) % (bdx * num_warps) != 0:
tile_z += original_tile_z
while (tile_x * tile_y) % (bdx * num_warps) != 0:
tile_y += original_tile_y
# Otherwise we would exceed maxComputeWorkgroupStorageSize
if (
target.kind.name == "webgpu"
and ((d + 127) // 128) * ((DataType(dtype).bits + 15) // 16) >= 4
):
tile_z = 8
num_warps = 2
# fmt: off
@T.prim_func(s_tir=True)
def batch_tree_attn( # pylint: disable=too-many-branches
var_q: T.handle, # [total_len, h_q, d]
var_q_indptr: T.handle, # [batch_size + 1]
var_k: T.handle, # [total_len, h_kv, d]
var_v: T.handle, # [total_len, h_kv, d]
var_kv_indptr: T.handle, # [batch_size + 1], kv_indptr should be the same as q_indptr in this case
var_q_rope_position: T.handle, # [total_q_len]
var_mn_indptr: T.handle, # [batch_size + 1]
var_mask: T.handle, # [mn_indptr[batch_size]]
var_output: T.handle, # [total_len, h_q, d]
var_lse: T.handle, # [total_len, h_q]
rotary_mode: T.int32,
rope_scale: T.float32,
rope_theta: T.float32,
sm_scale: T.float32,
):
qo_len = T.int32()
kv_len = T.int32()
q_indptr_elem_offset = T.int32()
kv_indptr_elem_offset = T.int32()
q_rope_position_elem_offset = T.int32()
mn_indptr_elem_offset = T.int32()
mask_elem_offset = T.int32()
tree_size = T.int32()
batch_size_plus_1 = T.int32()
q = T.match_buffer(var_q, (qo_len, h_q, d), dtype)
q_indptr = T.match_buffer(var_q_indptr, (batch_size_plus_1,), "int32", elem_offset=q_indptr_elem_offset)
k = T.match_buffer(var_k, (kv_len, h_kv, d), dtype)
v = T.match_buffer(var_v, (kv_len, h_kv, d), dtype)
kv_indptr = T.match_buffer(var_kv_indptr, (batch_size_plus_1,), "int32", elem_offset=kv_indptr_elem_offset)
q_rope_position = T.match_buffer(var_q_rope_position, (qo_len,), "int32", elem_offset=q_rope_position_elem_offset)
mn_indptr = T.match_buffer(var_mn_indptr, (batch_size_plus_1,), "int32", elem_offset=mn_indptr_elem_offset)
mask = T.match_buffer(var_mask, (tree_size, 2), "int32", elem_offset=mask_elem_offset)
output = T.match_buffer(var_output, (qo_len, h_q, d), dtype)
lse = T.match_buffer(var_lse, (qo_len, h_q), "float32") # pylint: disable=unused-variable
# kernel code
for lbx in T.thread_binding(NUM_BLKS, thread="blockIdx.x"):
for lby in T.thread_binding(h_kv, thread="blockIdx.y"):
for lty in T.thread_binding(num_warps, thread="threadIdx.y"):
for ltx in T.thread_binding(bdx, thread="threadIdx.x"):
with T.sblock("attn"):
bx, by, ty, tx = T.axis.remap("SSSS", [lbx, lby, lty, ltx])
T.reads()
T.writes()
tile_id, batch_idx, batch_tiles, batch_rows, iterator, kv_chunk_len = _alloc_tile_walk_state()
Q_smem, K_smem, V_smem, O_local = _alloc_mha_qkvo_buffers(tile_x, tile_z, d, d, dtype)
S_smem, S_local, m_smem, m_prev_smem, d_smem, m_new, m_prev, d_new = _alloc_softmax_state_buffers(tile_x, tile_z, bdx, num_warps)
tile_id[0] = bx
batch_idx[0] = 0
batch_rows[0] = (q_indptr[1] - q_indptr[0]) * group_size
batch_tiles[0] = T.ceildiv(batch_rows[0], tile_x)
while T.tvm_thread_invariant(batch_idx[0] < batch_size_plus_1 - 1):
# advance to next tile
while tile_id[0] >= batch_tiles[0] and batch_idx[0] < batch_size_plus_1 - 1:
tile_id[0] -= batch_tiles[0]
batch_idx[0] += 1
if batch_idx[0] < batch_size_plus_1 - 1:
b_idx: T.let[T.int32] = batch_idx[0]
batch_rows[0] = (q_indptr[b_idx + 1] - q_indptr[b_idx]) * group_size
batch_tiles[0] = T.ceildiv(batch_rows[0], tile_x)
if T.tvm_thread_invariant(batch_idx[0] < batch_size_plus_1 - 1):
b_idx: T.let[T.int32()] = batch_idx[0]
LH_start: T.let[T.int32()] = tile_id[0] * tile_x
q_indptr_val: T.let[T.int32] = q_indptr[b_idx]
kv_chunk_len[0] = kv_indptr[b_idx + 1] - kv_indptr[b_idx]
T.tvm_storage_sync("shared")
# init states
for i in T.serial(T.ceildiv(tile_x, bdx * num_warps)):
row: T.let[T.int32] = i * bdx * num_warps + ty * bdx + tx
if row < tile_x:
m_smem[row] = -5e4
d_smem[row] = 1.0
for li, lj in T.grid(tile_x, tile_y):
with T.sblock("O_init"):
i, j = T.axis.remap("SS", [li, lj])
O_local[i, j] = 0.0
T.tvm_storage_sync("shared")
# Load Q from gmem to smem
for li, lj in T.grid(tile_x, tile_y):
with T.sblock("Q_load"):
i, j = T.axis.remap("SS", [li, lj])
T.reads()
T.writes()
cur_L: T.let[T.int32] = q_indptr_val + (LH_start + i) // group_size
cur_H_qo: T.let[T.int32] = by * group_size + (LH_start + i) % group_size
if cur_L < q_indptr[b_idx + 1]:
Q_smem[i, j] = T.if_then_else(
rotary_mode == 1,
_rope(q, q_rope_position[cur_L], d, rope_theta, rope_scale, (cur_L, cur_H_qo, j), dtype, rope_scaling),
q[cur_L, cur_H_qo, j]
)
else:
Q_smem[i, j] = 0.0
T.tvm_storage_sync("shared")
for iterator in T.serial(T.ceildiv(kv_chunk_len[0], tile_z)):
L_kv_start: T.let[T.int32] = iterator * tile_z
L_kv_base: T.let[T.int32] = kv_indptr[b_idx]
for lz, ly in T.grid(tile_z, tile_y):
with T.sblock("KV_load"):
i, j = T.axis.remap("SS", [lz, ly])
T.reads()
T.writes()
cur_L: T.let[T.int32] = L_kv_base + L_kv_start + i
if L_kv_start + i < kv_chunk_len[0]:
K_smem[i, j] = T.if_then_else(
rotary_mode == 1,
_rope(k, q_rope_position[cur_L], d, rope_theta, rope_scale, (cur_L, by, j), dtype, rope_scaling),
k[cur_L, by, j]
)
V_smem[i, j] = v[cur_L, by, j]
else:
K_smem[i, j] = 0.0
V_smem[i, j] = 0.0
T.tvm_storage_sync("shared")
# Compute S
with T.sblock():
for li, lj, lk in T.grid(tile_x, tile_z, tile_y):
with T.sblock("S_gemm"):
i, j, k = T.axis.remap("SSR", [li, lj, lk])
with T.init():
S_local[i, j] = 0.0
S_local[i, j] += T.cast(Q_smem[i, k], "float32") * T.cast(K_smem[j, k], "float32") * sm_scale * math.log2(math.exp(1))
T.tvm_storage_sync("shared")
for li, lj in T.grid(tile_x, tile_z):
with T.sblock("S_store"):
i, j = T.axis.remap("SS", [li, lj])
S_smem[i, j] = S_local[i, j]
T.tvm_storage_sync("shared")
# Update S, m, d
for i in T.serial(T.ceildiv(tile_x, bdx * num_warps)):
row: T.let[T.int32] = i * bdx * num_warps + ty * bdx + tx
if row < tile_x:
with T.sblock("update1"):
m_prev[i] = m_smem[row]
m_new[i] = m_smem[row]
# mask out of kv_chunk_len S
row_: T.let[T.int32] = (LH_start + row) // group_size
for j in T.serial(tile_z):
if _check_tree_order(
row=row_,
col=L_kv_start + j,
batch=b_idx,
tree_order=mask,
tree_order_indptr=mn_indptr,
qo_len=q_indptr[b_idx + 1] - q_indptr[b_idx],
kv_len=kv_chunk_len[0]):
m_new[i] = T.max(m_new[i], S_smem[row, j])
d_new[i] = d_smem[row] * T.exp2(m_prev[i] - m_new[i])
for i in T.serial(T.ceildiv(tile_x, bdx * num_warps)):
row: T.let[T.int32] = i * bdx * num_warps + ty * bdx + tx
with T.sblock("update"):
for j in T.serial(tile_z):
# this is to avoid sync inside condition branch
if row < tile_x:
row_: T.let[T.int32] = (LH_start + row) // group_size
if _check_tree_order(
row=row_,
col=L_kv_start + j,
batch=b_idx,
tree_order=mask,
tree_order_indptr=mn_indptr,
qo_len=q_indptr[b_idx + 1] - q_indptr[b_idx],
kv_len=kv_chunk_len[0]):
S_smem[row, j] = T.exp2(S_smem[row, j] - m_new[i])
else:
S_smem[row, j] = T.exp2(-5e4 - m_new[i])
for i in T.serial(T.ceildiv(tile_x, bdx * num_warps)):
row: T.let[T.int32] = i * bdx * num_warps + ty * bdx + tx
if row < tile_x:
with T.sblock("update"):
for j in T.serial(tile_z):
d_new[i] += S_smem[row, j]
m_smem[row] = m_new[i]
d_smem[row] = d_new[i]
m_prev_smem[row] = m_prev[i]
T.tvm_storage_sync("shared")
# Update O
with T.sblock():
for li, lj, lk in T.grid(tile_x, tile_y, tile_z):
with T.sblock("O_gemm"):
i, j, k = T.axis.remap("SSR", [li, lj, lk])
with T.init():
O_local[i, j] *= T.exp2(m_prev_smem[i] - m_smem[i])
O_local[i, j] += S_smem[i, k] * T.cast(V_smem[k, j], "float32")
# Store O from smem to gmem
for li, lj in T.grid(tile_x, tile_y):
with T.sblock("O_store"):
i, j = T.axis.remap("SS", [li, lj])
cur_L: T.let[T.int32] = q_indptr[b_idx] + (LH_start + i) // group_size
cur_H_qo: T.let[T.int32] = by * group_size + (LH_start + i) % group_size
if cur_L < q_indptr[b_idx + 1]:
output[cur_L, cur_H_qo, j] = O_local[i, j] / d_smem[i]
# Store LSE to gmem
for li in T.grid(tile_x):
with T.sblock("lse_store"):
i = T.axis.remap("S", [li])
cur_L: T.let[T.int32] = q_indptr[b_idx] + (LH_start + i) // group_size
cur_H_qo: T.let[T.int32] = by * group_size + (LH_start + i) % group_size
if cur_L < q_indptr[b_idx + 1]:
lse[cur_L, cur_H_qo] = m_smem[i] + T.log2(d_smem[i])
# move to next tile
tile_id[0] += NUM_BLKS
# fmt: on
# pylint: enable=line-too-long,too-many-branches
sch = s_tir.Schedule(batch_tree_attn)
def get_tile_size(x, y, t):
cnt = (x * y) // t
assert (x * y) % t == 0
tile_y = math.ceil(math.sqrt(cnt))
while (cnt % tile_y != 0 or y % tile_y != 0) and tile_y <= cnt:
tile_y += 1
assert tile_y <= cnt
tile_x = cnt // tile_y
return tile_x, tile_y
def apply_to_qkv_load(sch: s_tir.Schedule, block):
loop_x, loop_y = sch.get_loops(block)[-2:]
loop = sch.fuse(loop_x, loop_y)
_, ty, tx, vec = sch.split(
loop, factors=[None, num_warps, bdx, LOAD_VEC], preserve_unit_iters=True
)
sch.bind(ty, "threadIdx.y")
sch.bind(tx, "threadIdx.x")
sch.vectorize(vec)
def apply_to_so_ewise(sch: s_tir.Schedule, block, tile):
loop_x, loop_y = sch.get_loops(block)[-2:]
xo, xi = sch.split(loop_x, factors=[None, tile[0]])
yo, yi = sch.split(loop_y, factors=[None, tile[1]])
sch.reorder(xo, yo, xi, yi)
t = sch.fuse(xo, yo)
ty, tx = sch.split(t, factors=[None, bdx])
sch.bind(ty, "threadIdx.y")
sch.bind(tx, "threadIdx.x")
def apply_to_gemm( # pylint: disable=unused-argument
sch: s_tir.Schedule, block, tile, read_0, read_1, r_len=8, k_major=False
):
loop_x, loop_y, loop_z = sch.get_loops(block)[-3:]
xo, xi = sch.split(loop_x, factors=[None, tile[0]])
yo, yi = sch.split(loop_y, factors=[None, tile[1]])
sch.reorder(xo, yo, xi, yi)
t = sch.fuse(xo, yo)
ty, tx = sch.split(t, factors=[None, bdx])
sch.bind(ty, "threadIdx.y")
sch.bind(tx, "threadIdx.x")
ko, ki = sch.split(loop_z, factors=[None, r_len])
if k_major:
sch.reorder(ko, xi, yi, ki)
else:
sch.reorder(ko, ki, xi, yi)
sch.decompose_reduction(block, ty)
def apply_to_md(sch, block):
loop = sch.get_loops(block)[-1]
_, ty, tx = sch.split(loop, factors=[None, num_warps, bdx])
sch.bind(ty, "threadIdx.y")
sch.bind(tx, "threadIdx.x")
tile_s = get_tile_size(tile_x, tile_z, bdx * num_warps)
tile_o = get_tile_size(tile_x, tile_y, bdx * num_warps)
apply_to_gemm(sch, sch.get_sblock("S_gemm"), tile_s, 0, 1, k_major=True)
apply_to_gemm(sch, sch.get_sblock("O_gemm"), tile_o, 2, 3, k_major=False)
apply_to_so_ewise(sch, sch.get_sblock("S_store"), tile_s)
apply_to_so_ewise(sch, sch.get_sblock("O_init"), tile_o)
apply_to_so_ewise(sch, sch.get_sblock("O_store"), tile_o)
apply_to_qkv_load(sch, sch.get_sblock("Q_load"))
apply_to_qkv_load(sch, sch.get_sblock("KV_load"))
apply_to_md(sch, sch.get_sblock("lse_store"))
return sch.mod["main"].with_attr("tirx.is_scheduled", True)
def tree_attn_with_paged_kv_cache_cpu(h_kv, h_q, d, dtype, rope_scaling: dict[str, Any]):
"""Generate tree attention kernel for batched tree attention with paged key-value cache.
Parameters
----------
h_kv : int
Number of heads for key and value.
h_q : int
Number of heads for query.
d : int
Hidden dimension.
dtype : str
Data type.
target : Target
The target device.
Returns
-------
mod : tvm.IRModule
The generated IR module.
"""
global_symbol = "tree_attn_paged_kv_cpu"
sliding_window = False
group_size = h_q // h_kv
# pylint: disable=line-too-long,too-many-branches
# fmt: off
@T.prim_func(s_tir=True)
def tree_attn_paged_kv_cpu(
var_q: T.handle, # [total_len, h_q, d]
var_q_indptr: T.handle, # [batch_size + 1]
var_pages: T.handle, # [max_num_pages, 2, h_kv, page_size, d]
var_page_indptr: T.handle, # [batch_size + 1]
var_page_values: T.handle, # [nnz_pages]
var_length_info: T.handle, # [b] when sliding window = False, or otherwise [3, b]
var_k_rope_pos_offset: T.handle, # [b]
var_q_rope_position: T.handle, # [total_len]
var_output: T.handle, # [total_len, h_q, d]
var_lse: T.handle, # [total_len, h_q]
rotary_mode: T.int32,
rope_scale: T.float32,
rope_theta: T.float32,
sm_scale: T.float32,
tree_order_indptr_handle: T.handle, # [batch_size + 1]
tree_order_handle: T.handle, # [total_len, 2]
):
T.func_attr({"global_symbol": global_symbol})
batch_size = T.int32()
total_len = T.int32()
nnz_pages = T.int32()
max_num_pages = T.int32()
q_indptr_elem_offset = T.int32()
page_indptr_elem_offset = T.int32()
page_values_elem_offset = T.int32()
k_rope_pos_offset_elem_offset = T.int32()
q_rope_position_elem_offset = T.int32()
length_info_elem_offset = T.int32()
tree_order_elem_offset = T.int32()
tree_order_indptr_elem_offset = T.int32()
q = T.match_buffer(var_q, (total_len, h_q, d), dtype)
q_indptr = T.match_buffer(var_q_indptr, (batch_size + 1,), "int32", elem_offset=q_indptr_elem_offset)
pages = T.match_buffer(var_pages, (max_num_pages, 2, h_kv, 16, d), dtype)
page_indptr = T.match_buffer(var_page_indptr, (batch_size + 1,), "int32", elem_offset=page_indptr_elem_offset)
page_values = T.match_buffer(var_page_values, (nnz_pages,), "int32", elem_offset=page_values_elem_offset)
k_rope_pos_offset = T.match_buffer(var_k_rope_pos_offset, (batch_size,), "int32", elem_offset=k_rope_pos_offset_elem_offset)
q_rope_position = T.match_buffer(var_q_rope_position, (total_len,), "int32", elem_offset=q_rope_position_elem_offset)
output = T.match_buffer(var_output, (total_len, h_q, d), dtype)
lse = T.match_buffer(var_lse, (total_len, h_q), "float32") # pylint: disable=unused-variable
tree_order_indptr = T.match_buffer(
tree_order_indptr_handle,
(batch_size + 1,),
"int32",
elem_offset=tree_order_indptr_elem_offset,
)
total_tree_order_len = T.int32()
tree_order = T.match_buffer(
tree_order_handle,
(total_tree_order_len, 2),
"int32",
elem_offset=tree_order_elem_offset,
)
# The length information of the sequences.
# - It is in shape `(3, batch_size)` when sliding window is enabled.
# For a sequence "i", location
# - "(0, i)" is the number of KV slots used in the last page of the seq ("last_page_len"),
# - "(1, i)" is the starting offset of the sliding window in the seq,
# - "(2, i)" is the attn sink length of the sequence.
# - It is in shape `(batch_size,)` when sliding window is disabled,
# denoting the "last_page_len".
length_info = _declare_length_info(var_length_info, batch_size, sliding_window, length_info_elem_offset)
T.Assert(
rotary_mode == T.int32(0), "Inline rotary mode is not supported in tree attention."
)
for h_qo in T.serial(h_q):
for b_idx in T.serial(batch_size):
with T.sblock("attn"):
T.reads()
T.writes()
O_local = T.sblock_alloc_buffer((d, ), "float32")
Q_local = T.sblock_alloc_buffer((d, ), "float32")
K_local = T.sblock_alloc_buffer((d, ), "float32")
V_local = T.sblock_alloc_buffer((d, ), "float32")
kv_chunk_len = T.sblock_alloc_buffer((1, ), "int32")
m_val = T.sblock_alloc_buffer((1, ), "float32")
new_m = T.sblock_alloc_buffer((1, ), "float32")
d_val = T.sblock_alloc_buffer((1, ), "float32")
S_val = T.sblock_alloc_buffer((1, ), "float32")
scale_O = T.sblock_alloc_buffer((1, ), "float32")
factor = T.sblock_alloc_buffer((1, ), "float32")
cur_page_indptr_begin: T.let[T.int32] = page_indptr[b_idx]
cur_page_indptr_end: T.let[T.int32] = page_indptr[b_idx + 1]
kv_chunk_len[0] = T.if_then_else(
cur_page_indptr_begin != cur_page_indptr_end,
_get_kv_chunk_len(cur_page_indptr_end - cur_page_indptr_begin, 16, b_idx, length_info, sliding_window),
0
)
for q_idx in T.serial(q_indptr[b_idx + 1] - q_indptr[b_idx]):
#init m, d, O
m_val[0] = -5e4
d_val[0] = 1.0
for d_idx in T.serial(d):
O_local[d_idx] = 0.0
curl_q: T.let[T.int32] = q_indptr[b_idx] + q_idx
for d_idx in T.serial(d):
Q_local[d_idx] = T.if_then_else(
rotary_mode == 1,
_rope(q, q_rope_position[curl_q], d, rope_theta, rope_scale, (curl_q, h_qo, d_idx), dtype, rope_scaling),
q[curl_q, h_qo, d_idx]
)
for row_idx in T.serial(max_num_pages * 16):
if row_idx < kv_chunk_len[0]:
page_no: T.let[T.int32()] = page_values[cur_page_indptr_begin + (_get_seq_offset(row_idx, b_idx, length_info, sliding_window) // 16)]
page_offset: T.let[T.int32()] = _get_seq_offset(row_idx, b_idx, length_info, sliding_window) % 16
# Load KV
for d_idx in T.serial(d):
K_local[d_idx] = T.if_then_else(
rotary_mode == 1,
_rope(pages, k_rope_pos_offset[b_idx] + row_idx, d, rope_theta, rope_scale, (page_no, 0, h_qo // group_size, page_offset, d_idx), dtype, rope_scaling),
pages[page_no, 0, h_qo // group_size, page_offset, d_idx]
)
V_local[d_idx] = pages[page_no, 1, h_qo // group_size, page_offset, d_idx]
# Compute S
S_val[0] = 0.0
for d_idx in T.serial(d):
S_val[0] += Q_local[d_idx] * K_local[d_idx]
S_val[0] *= sm_scale * math.log2(math.exp(1))
# update m_val, d_val , O_local
if _check_tree_order(
tree_order_indptr=tree_order_indptr,
tree_order=tree_order,
batch=b_idx,
row=q_idx,
col=row_idx,
kv_len=kv_chunk_len[0],
qo_len=q_indptr[b_idx + 1] - q_indptr[b_idx],
):
new_m[0] = T.max(m_val[0], S_val[0])
else:
S_val[0] = -5e4
# update d_val
d_val[0] *= T.exp2(m_val[0] - new_m[0])
d_val[0] += T.exp2(S_val[0] - new_m[0])
# restore O_local then update O_local
scale_O[0] = T.exp2(m_val[0] - new_m[0])
m_val[0] = new_m[0]
factor[0] = T.exp2(S_val[0] - m_val[0])
for d_idx in T.serial(d):
O_local[d_idx] = O_local[d_idx] * scale_O[d_idx]
for d_idx in T.serial(d):
O_local[d_idx] += V_local[d_idx] * factor[0]
# Store Output
for d_idx in T.serial(d):
O_local[d_idx] = O_local[d_idx] /d_val[0]
output[curl_q, h_qo, d_idx] = O_local[d_idx]
lse[curl_q, h_qo] = m_val[0] + T.log2(d_val[0])
return tree_attn_paged_kv_cpu
def tree_attn_with_paged_kv_cache(
h_kv, h_q, d, dtype, rope_scaling: dict[str, Any], target: Target
):
"""Generate tree attention kernel for batched tree attention with paged key-value cache.
Parameters
----------
h_kv : int
Number of heads for key and value.
h_q : int
Number of heads for query.
d : int
Hidden dimension.
dtype : str
Data type.
target : Target
The target device.
Returns
-------
mod : tvm.IRModule
The generated IR module.
"""
# pylint: disable=invalid-name, line-too-long
NUM_BLKS = 16
LOAD_VEC = 8 // ((DataType(dtype).bits + 7) // 8) # 8 bytes
group_size = h_q // h_kv
bdx = 32
num_warps = 4
tile_x, tile_y, tile_z = (
64 // ((DataType(dtype).bits + 7) // 8) // max(d // 128, 1),
d,
64 // ((DataType(dtype).bits + 7) // 8) // max(d // 128, 1),
)
original_tile_y = tile_y
original_tile_z = tile_z
while (tile_x * tile_z) % (bdx * num_warps) != 0:
tile_z += original_tile_z
while (tile_x * tile_y) % (bdx * num_warps) != 0:
tile_y += original_tile_y
# Otherwise we would exceed maxComputeWorkgroupStorageSize
if (
target.kind.name == "webgpu"
and ((d + 127) // 128) * ((DataType(dtype).bits + 15) // 16) >= 4
):
tile_z = 8
num_warps = 2
check_thread_limits(target, bdx=bdx, bdy=num_warps, bdz=1, gdz=1)
global_symbol = "tree_attn_paged_kv"
sliding_window = False # Sliding window is not supported in this kernel.
# fmt: off
@T.prim_func(s_tir=True)
def tree_attn_paged_kv(
var_q: T.handle, # [total_len, h_q, d]
var_q_indptr: T.handle, # [batch_size + 1]
var_pages: T.handle, # [max_num_pages, 2, h_kv, page_size, d]
var_page_indptr: T.handle, # [batch_size + 1]
var_page_values: T.handle, # [nnz_pages]
var_length_info: T.handle, # [b] when sliding window = False, or otherwise [3, b]
var_k_rope_pos_offset: T.handle, # [b]
var_q_rope_position: T.handle, # [total_len]
var_output: T.handle, # [total_len, h_q, d]
var_lse: T.handle, # [total_len, h_q]
rotary_mode: T.int32,
rope_scale: T.float32,
rope_theta: T.float32,
sm_scale: T.float32,
tree_order_indptr_handle: T.handle, # [batch_size + 1]
tree_order_handle: T.handle, # [total_len, 2]
):
# pylint: disable=unused-variable, too-many-branches
T.func_attr({"global_symbol": global_symbol})
batch_size = T.int32()
total_len = T.int32()
nnz_pages = T.int32()
max_num_pages = T.int32()
q_indptr_elem_offset = T.int32()
k_rope_pos_offset_elem_offset = T.int32()
q_rope_position_elem_offset = T.int32()
page_indptr_elem_offset = T.int32()
page_values_elem_offset = T.int32()
length_info_elem_offset = T.int32()
tree_order_elem_offset = T.int32()
tree_order_indptr_elem_offset = T.int32()
q = T.match_buffer(var_q, (total_len, h_q, d), dtype)
q_indptr = T.match_buffer(
var_q_indptr, (batch_size + 1,), "int32", elem_offset=q_indptr_elem_offset
)
pages = T.match_buffer(var_pages, (max_num_pages, 2, h_kv, 16, d), dtype)
page_indptr = T.match_buffer(
var_page_indptr, (batch_size + 1,), "int32", elem_offset=page_indptr_elem_offset
)
page_values = T.match_buffer(
var_page_values, (nnz_pages,), "int32", elem_offset=page_values_elem_offset
)
k_rope_pos_offset = T.match_buffer(
var_k_rope_pos_offset, (batch_size,), "int32", elem_offset=k_rope_pos_offset_elem_offset
)
q_rope_position = T.match_buffer(
var_q_rope_position, (total_len,), "int32", elem_offset=q_rope_position_elem_offset
)
output = T.match_buffer(var_output, (total_len, h_q, d), dtype)
lse = T.match_buffer(
var_lse, (total_len, h_q), "float32"
) # pylint: disable=unused-variable
tree_order_indptr = T.match_buffer(
tree_order_indptr_handle,
(batch_size + 1,),
"int32",
elem_offset=tree_order_indptr_elem_offset,
)
total_tree_order_len = T.int32()
tree_order = T.match_buffer(
tree_order_handle,
(total_tree_order_len, 2),
"int32",
elem_offset=tree_order_elem_offset,
)
# The length information of the sequences.
# - It is in shape `(3, batch_size)` when sliding window is enabled.
# For a sequence "i", location
# - "(0, i)" is the number of KV slots used in the last page of the seq ("last_page_len"),
# - "(1, i)" is the starting offset of the sliding window in the seq,
# - "(2, i)" is the attn sink length of the sequence.
# - It is in shape `(batch_size,)` when sliding window is disabled,
# denoting the "last_page_len".
length_info = _declare_length_info(
var_length_info, batch_size, sliding_window, length_info_elem_offset
)
T.Assert(
rotary_mode == T.int32(0), "Inline rotary mode is not supported in tree attention."
)
# kernel code
for lbx in T.thread_binding(NUM_BLKS, thread="blockIdx.x"):
for lby in T.thread_binding(h_kv, thread="blockIdx.y"):
for lty in T.thread_binding(num_warps, thread="threadIdx.y"):
for ltx in T.thread_binding(bdx, thread="threadIdx.x"):
with T.sblock("attn"):
bx, by, ty, tx = T.axis.remap("SSSS", [lbx, lby, lty, ltx])
T.reads()
T.writes()
tile_id, batch_idx, batch_tiles, batch_rows, iterator, kv_chunk_len = _alloc_tile_walk_state()
Q_smem, K_smem, V_smem, O_local = _alloc_mha_qkvo_buffers(tile_x, tile_z, d, d, dtype)
S_smem, S_local, m_smem, m_prev_smem, d_smem, m_new, m_prev, d_new = _alloc_softmax_state_buffers(tile_x, tile_z, bdx, num_warps)
tile_id[0] = bx
batch_idx[0] = 0
batch_rows[0] = (q_indptr[1] - q_indptr[0]) * group_size
batch_tiles[0] = T.ceildiv(batch_rows[0], tile_x)
while T.tvm_thread_invariant(batch_idx[0] < batch_size):
# advance to next tile
while tile_id[0] >= batch_tiles[0] and batch_idx[0] < batch_size:
tile_id[0] -= batch_tiles[0]
batch_idx[0] += 1
if batch_idx[0] < batch_size:
b_idx: T.let[T.int32] = batch_idx[0]
batch_rows[0] = (
q_indptr[b_idx + 1] - q_indptr[b_idx]
) * group_size
batch_tiles[0] = T.ceildiv(batch_rows[0], tile_x)
if T.tvm_thread_invariant(batch_idx[0] < batch_size):
b_idx: T.let[T.int32()] = batch_idx[0]
LH_start: T.let[T.int32()] = tile_id[0] * tile_x
q_indptr_val: T.let[T.int32] = q_indptr[b_idx]
cur_page_indptr_begin: T.let[T.int32] = page_indptr[b_idx]
cur_page_indptr_end: T.let[T.int32] = page_indptr[b_idx + 1]
kv_chunk_len[0] = T.if_then_else(
cur_page_indptr_begin != cur_page_indptr_end,
_get_kv_chunk_len(
cur_page_indptr_end - cur_page_indptr_begin,
16,
b_idx,
length_info,
sliding_window,
),
0,
)
T.tvm_storage_sync("shared")
# init states
for i in T.serial(T.ceildiv(tile_x, bdx * num_warps)):
row: T.let[T.int32] = i * bdx * num_warps + ty * bdx + tx
if row < tile_x:
m_smem[row] = -5e4
d_smem[row] = 1.0
for li, lj in T.grid(tile_x, tile_y):
with T.sblock("O_init"):
i, j = T.axis.remap("SS", [li, lj])
O_local[i, j] = 0.0
T.tvm_storage_sync("shared")
# Load Q from gmem to smem
for li, lj in T.grid(tile_x, tile_y):
with T.sblock("Q_load"):
i, j = T.axis.remap("SS", [li, lj])
T.reads()
T.writes()
cur_L: T.let[T.int32] = q_indptr_val + (LH_start + i) // group_size
cur_H_qo: T.let[T.int32] = by * group_size + (LH_start + i) % group_size
if cur_L < q_indptr[b_idx + 1]:
Q_smem[i, j] = T.if_then_else(
rotary_mode == 1,
_rope(
q,
q_rope_position[cur_L],
d,
rope_theta,
rope_scale,
(cur_L, cur_H_qo, j),
dtype,
rope_scaling,
),
q[cur_L, cur_H_qo, j],
)
else:
Q_smem[i, j] = 0.0
T.tvm_storage_sync("shared")
for iterator in T.serial(T.ceildiv(kv_chunk_len[0], tile_z)):
L_kv_start: T.let[T.int32] = iterator * tile_z
for lz, ly in T.grid(tile_z, tile_y):
with T.sblock("K_load"):
i, j = T.axis.remap("SS", [lz, ly])
T.reads()
T.writes()
cur_L: T.let[T.int32] = L_kv_start + i
if cur_L < kv_chunk_len[0]:
seq_offset: T.let[T.int32()] = _get_seq_offset(cur_L, b_idx, length_info, sliding_window) # type: ignore
page_no: T.let[T.int32()] = page_values[cur_page_indptr_begin + T.floordiv(seq_offset, 16)] # type: ignore
page_offset: T.let[T.int32()] = T.floormod(seq_offset, 16) # type: ignore
K_smem[i, j] = pages[
page_no, 0, by, page_offset, j
]
else:
K_smem[i, j] = 0.0
T.tvm_storage_sync("shared")
for lz, ly in T.grid(tile_z, tile_y):
with T.sblock("V_load"):
i, j = T.axis.remap("SS", [lz, ly])
T.reads()
T.writes()
cur_L: T.let[T.int32] = L_kv_start + i
if cur_L < kv_chunk_len[0]:
seq_offset: T.let[T.int32()] = _get_seq_offset(cur_L, b_idx, length_info, sliding_window) # type: ignore
page_no: T.let[T.int32()] = page_values[cur_page_indptr_begin + T.floordiv(seq_offset, 16)] # type: ignore
page_offset: T.let[T.int32()] = T.floormod(seq_offset, 16) # type: ignore
V_smem[i, j] = pages[
page_no, 1, by, page_offset, j
]
else:
V_smem[i, j] = 0.0
T.tvm_storage_sync("shared")
# Compute S
with T.sblock():
for li, lj, lk in T.grid(tile_x, tile_z, tile_y):
with T.sblock("S_gemm"):
i, j, k = T.axis.remap("SSR", [li, lj, lk])
with T.init():
S_local[i, j] = 0.0
S_local[i, j] += (
T.cast(Q_smem[i, k], "float32")
* T.cast(K_smem[j, k], "float32")
* sm_scale
* math.log2(math.exp(1))
)
T.tvm_storage_sync("shared")
for li, lj in T.grid(tile_x, tile_z):
with T.sblock("S_store"):
i, j = T.axis.remap("SS", [li, lj])
S_smem[i, j] = S_local[i, j]
T.tvm_storage_sync("shared")
# Update S, m, d
for i in T.serial(T.ceildiv(tile_x, bdx * num_warps)):
row: T.let[T.int32] = i * bdx * num_warps + ty * bdx + tx
if row < tile_x:
with T.sblock("update1"):
m_prev[i] = m_smem[row]
m_new[i] = m_smem[row]
# mask out of kv_chunk_len S
row_: T.let[T.int32] = (LH_start + row) // group_size
for j in T.serial(tile_z):
if _check_tree_order(
tree_order_indptr=tree_order_indptr,
tree_order=tree_order,
batch=b_idx,
row=row_,
col=L_kv_start + j,
kv_len=kv_chunk_len[0],
qo_len=q_indptr[b_idx + 1]
- q_indptr[b_idx],
):
m_new[i] = T.max(
m_new[i], S_smem[row, j]
)
d_new[i] = d_smem[row] * T.exp2(
m_prev[i] - m_new[i]
)
for i in T.serial(T.ceildiv(tile_x, bdx * num_warps)):
row: T.let[T.int32] = i * bdx * num_warps + ty * bdx + tx
with T.sblock("update"):
for j in T.serial(tile_z):
# this is to avoid sync inside condition branch
if row < tile_x:
row_: T.let[T.int32] = (
LH_start + row
) // group_size
if _check_tree_order(
tree_order_indptr=tree_order_indptr,
tree_order=tree_order,
batch=b_idx,
row=row_,
col=L_kv_start + j,
kv_len=kv_chunk_len[0],
qo_len=q_indptr[b_idx + 1]
- q_indptr[b_idx],
):
S_smem[row, j] = T.exp2(
S_smem[row, j] - m_new[i]
)
else:
S_smem[row, j] = T.exp2(-5e4 - m_new[i])
for i in T.serial(T.ceildiv(tile_x, bdx * num_warps)):
row: T.let[T.int32] = i * bdx * num_warps + ty * bdx + tx
if row < tile_x:
with T.sblock("update"):
for j in T.serial(tile_z):
d_new[i] += S_smem[row, j]
m_smem[row] = m_new[i]
d_smem[row] = d_new[i]
m_prev_smem[row] = m_prev[i]
T.tvm_storage_sync("shared")
# Update O
with T.sblock():
for li, lj, lk in T.grid(tile_x, tile_y, tile_z):
with T.sblock("O_gemm"):
i, j, k = T.axis.remap("SSR", [li, lj, lk])
with T.init():
O_local[i, j] *= T.exp2(
m_prev_smem[i] - m_smem[i]
)
O_local[i, j] += S_smem[i, k] * T.cast(
V_smem[k, j], "float32"
)
# Store O from smem to gmem
for li, lj in T.grid(tile_x, tile_y):
with T.sblock("O_store"):
i, j = T.axis.remap("SS", [li, lj])
cur_L: T.let[T.int32] = (
q_indptr[b_idx] + (LH_start + i) // group_size
)
cur_H_qo: T.let[T.int32] = (
by * group_size + (LH_start + i) % group_size
)
if cur_L < q_indptr[b_idx + 1]:
output[cur_L, cur_H_qo, j] = (
O_local[i, j] / d_smem[i]
)
# Store LSE to gmem
for li in T.grid(tile_x):
with T.sblock("lse_store"):
i = T.axis.remap("S", [li])
cur_L: T.let[T.int32] = (
q_indptr[b_idx] + (LH_start + i) // group_size
)
cur_H_qo: T.let[T.int32] = (
by * group_size + (LH_start + i) % group_size
)
if cur_L < q_indptr[b_idx + 1]:
lse[cur_L, cur_H_qo] = m_smem[i] + T.log2(d_smem[i])
# move to next tile
tile_id[0] += NUM_BLKS
# fmt: on
# pylint: enable=line-too-long,too-many-branches
sch = s_tir.Schedule(tree_attn_paged_kv)
def get_tile_size(x, y, t):
cnt = (x * y) // t
assert (x * y) % t == 0
tile_y = math.ceil(math.sqrt(cnt))
while (cnt % tile_y != 0 or y % tile_y != 0) and tile_y <= cnt:
tile_y += 1
assert tile_y <= cnt
tile_x = cnt // tile_y
return tile_x, tile_y
def apply_to_qkv_load(sch: s_tir.Schedule, block):
loop_x, loop_y = sch.get_loops(block)[-2:]
loop = sch.fuse(loop_x, loop_y)
_, ty, tx, vec = sch.split(
loop, factors=[None, num_warps, bdx, LOAD_VEC], preserve_unit_iters=True
)
sch.bind(ty, "threadIdx.y")
sch.bind(tx, "threadIdx.x")
sch.vectorize(vec)
def apply_to_so_ewise(sch: s_tir.Schedule, block, tile):
loop_x, loop_y = sch.get_loops(block)[-2:]
xo, xi = sch.split(loop_x, factors=[None, tile[0]])
yo, yi = sch.split(loop_y, factors=[None, tile[1]])
sch.reorder(xo, yo, xi, yi)
t = sch.fuse(xo, yo)
ty, tx = sch.split(t, factors=[None, bdx])
sch.bind(ty, "threadIdx.y")
sch.bind(tx, "threadIdx.x")
def apply_to_gemm( # pylint: disable=unused-argument
sch: s_tir.Schedule, block, tile, read_0, read_1, r_len=8, k_major=False
):
loop_x, loop_y, loop_z = sch.get_loops(block)[-3:]
xo, xi = sch.split(loop_x, factors=[None, tile[0]])
yo, yi = sch.split(loop_y, factors=[None, tile[1]])
sch.reorder(xo, yo, xi, yi)
t = sch.fuse(xo, yo)
ty, tx = sch.split(t, factors=[None, bdx])
sch.bind(ty, "threadIdx.y")
sch.bind(tx, "threadIdx.x")
ko, ki = sch.split(loop_z, factors=[None, r_len])
if k_major:
sch.reorder(ko, xi, yi, ki)
else:
sch.reorder(ko, ki, xi, yi)
sch.decompose_reduction(block, ty)
def apply_to_md(sch, block):
loop = sch.get_loops(block)[-1]
_, ty, tx = sch.split(loop, factors=[None, num_warps, bdx])
sch.bind(ty, "threadIdx.y")
sch.bind(tx, "threadIdx.x")
tile_s = get_tile_size(tile_x, tile_z, bdx * num_warps)
tile_o = get_tile_size(tile_x, tile_y, bdx * num_warps)
apply_to_gemm(sch, sch.get_sblock("S_gemm"), tile_s, 0, 1, k_major=True)
apply_to_gemm(sch, sch.get_sblock("O_gemm"), tile_o, 2, 3, k_major=False)
apply_to_so_ewise(sch, sch.get_sblock("S_store"), tile_s)
apply_to_so_ewise(sch, sch.get_sblock("O_init"), tile_o)
apply_to_so_ewise(sch, sch.get_sblock("O_store"), tile_o)
apply_to_qkv_load(sch, sch.get_sblock("Q_load"))
apply_to_qkv_load(sch, sch.get_sblock("K_load"))
apply_to_qkv_load(sch, sch.get_sblock("V_load"))
apply_to_md(sch, sch.get_sblock("lse_store"))
return sch.mod["main"].with_attr("tirx.is_scheduled", True)