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K3/kda/_fla/ops/common/chunk_delta_h.py
T
dela 584f7e9e73 Initial K3 snapshot: 0.5B KDA/MLA/MoE train path 
Standalone tree split from LLMRL/projects/kda. Includes Triton dt_bias
backward fix, train_k3 --preset 0.5b, SFT, Docker runtime, and tests.
2026-08-25 14:43:17 +08:00

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# Copyright (c) 2023-2026, Songlin Yang, Yu Zhang, Zhiyuan Li
#
# This source code is licensed under the MIT license found in the
# LICENSE file in the root directory of this source tree.
# For a list of all contributors, visit:
# https://github.com/fla-org/flash-linear-attention/graphs/contributors
import torch
import triton
import triton.language as tl
from kda._fla.ops.backends import dispatch
from kda._fla.ops.utils import prepare_chunk_indices, prepare_chunk_offsets
from kda._fla.ops.utils.cache import fla_cache_autotune
from kda._fla.ops.utils.op import exp2
from kda._fla.utils import (
IS_INTEL,
IS_NVIDIA_BLACKWELL,
IS_NVIDIA_HOPPER,
autotune_cache_kwargs,
check_shared_mem,
)
NUM_WARPS = [2, 4] if IS_NVIDIA_HOPPER else [2, 4, 8, 16]
# TODO: Triton mainline fixes a Blackwell tl.dot recurrence race.
# Keep this kernel on num_warps=2 for Blackwell until Triton 3.8 is released
# and we re-validate the wider config space.
# Intel needs more warps than NVIDIA here: 8 warps is ~1.5x faster than the best
# config reachable under the [2, 4] cap.
if IS_NVIDIA_BLACKWELL:
GATED_DELTA_RULE_FWD_H_NUM_WARPS = [2]
elif IS_INTEL:
GATED_DELTA_RULE_FWD_H_NUM_WARPS = [2, 4, 8, 16]
else:
GATED_DELTA_RULE_FWD_H_NUM_WARPS = [2, 4]
@triton.heuristics({
'USE_G': lambda args: args['g'] is not None,
'USE_GK': lambda args: args['gk'] is not None,
'USE_INITIAL_STATE': lambda args: args['h0'] is not None,
'STORE_FINAL_STATE': lambda args: args['ht'] is not None,
'SAVE_NEW_VALUE': lambda args: args['v_new'] is not None,
'IS_VARLEN': lambda args: args['cu_seqlens'] is not None,
})
@fla_cache_autotune(
configs=[
triton.Config({'BV': BV}, num_warps=num_warps, num_stages=num_stages)
for num_warps in GATED_DELTA_RULE_FWD_H_NUM_WARPS
for num_stages in ([2, 3, 4] if check_shared_mem('ampere') else [2, 1])
for BV in ([32, 64] if check_shared_mem('ada') else [32])
],
key=['H', 'HV', 'K', 'V', 'BT', 'STATE_V_FIRST'],
**autotune_cache_kwargs,
)
@triton.jit(do_not_specialize=['T'])
def chunk_gated_delta_rule_fwd_kernel_h_blockdim64(
k,
v,
w,
v_new,
g,
gk,
h,
h0,
ht,
cu_seqlens,
chunk_offsets,
T,
H: tl.constexpr,
HV: tl.constexpr,
K: tl.constexpr,
V: tl.constexpr,
BT: tl.constexpr,
BV: tl.constexpr,
USE_G: tl.constexpr,
USE_GK: tl.constexpr,
USE_INITIAL_STATE: tl.constexpr,
STORE_FINAL_STATE: tl.constexpr,
SAVE_NEW_VALUE: tl.constexpr,
STATE_V_FIRST: tl.constexpr,
IS_VARLEN: tl.constexpr,
):
pid = tl.program_id(0)
NV = tl.cdiv(V, BV)
i_v, i_nh = pid % NV, (pid // NV).to(tl.int64)
i_n, i_h = i_nh // HV, i_nh % HV
if IS_VARLEN:
bos, eos = tl.load(cu_seqlens + i_n).to(tl.int64), tl.load(cu_seqlens + i_n + 1).to(tl.int64)
T = eos - bos
NT = tl.cdiv(T, BT)
boh = tl.load(chunk_offsets + i_n).to(tl.int64)
else:
bos, eos = i_n * T, i_n * T + T
NT = tl.cdiv(T, BT)
boh = i_n * NT
if STATE_V_FIRST:
b_h1 = tl.zeros([BV, 64], dtype=tl.float32)
if K > 64:
b_h2 = tl.zeros([BV, 64], dtype=tl.float32)
if K > 128:
b_h3 = tl.zeros([BV, 64], dtype=tl.float32)
if K > 192:
b_h4 = tl.zeros([BV, 64], dtype=tl.float32)
else:
b_h1 = tl.zeros([64, BV], dtype=tl.float32)
if K > 64:
b_h2 = tl.zeros([64, BV], dtype=tl.float32)
if K > 128:
b_h3 = tl.zeros([64, BV], dtype=tl.float32)
if K > 192:
b_h4 = tl.zeros([64, BV], dtype=tl.float32)
# calculate offset
h += (boh * HV + i_h).to(tl.int64) * K*V
v += (bos * HV + i_h).to(tl.int64) * V
k += (bos * H + i_h // (HV // H)).to(tl.int64) * K
w += (bos * HV + i_h).to(tl.int64) * K
if SAVE_NEW_VALUE:
v_new += (bos * HV + i_h).to(tl.int64) * V
if USE_INITIAL_STATE:
h0 = h0 + i_nh * K*V
if STORE_FINAL_STATE:
ht = ht + i_nh * K*V
# load initial state
o_v = i_v * BV + tl.arange(0, BV)
m_v = o_v < V
o_k1 = tl.arange(0, 64)
m_k1 = o_k1 < K
o_k2 = 64 + o_k1
m_k2 = o_k2 < K
o_k3 = 128 + o_k1
m_k3 = o_k3 < K
o_k4 = 192 + o_k1
m_k4 = o_k4 < K
if USE_INITIAL_STATE:
if STATE_V_FIRST:
p_h0_1 = h0 + o_v[:, None] * K + o_k1[None, :]
m_h0_1 = m_v[:, None] & m_k1[None, :]
else:
p_h0_1 = h0 + o_k1[:, None] * V + o_v[None, :]
m_h0_1 = m_k1[:, None] & m_v[None, :]
b_h1 += tl.load(p_h0_1, mask=m_h0_1, other=0.0).to(tl.float32)
if K > 64:
if STATE_V_FIRST:
p_h0_2 = h0 + o_v[:, None] * K + o_k2[None, :]
m_h0_2 = m_v[:, None] & m_k2[None, :]
else:
p_h0_2 = h0 + o_k2[:, None] * V + o_v[None, :]
m_h0_2 = m_k2[:, None] & m_v[None, :]
b_h2 += tl.load(p_h0_2, mask=m_h0_2, other=0.0).to(tl.float32)
if K > 128:
if STATE_V_FIRST:
p_h0_3 = h0 + o_v[:, None] * K + o_k3[None, :]
m_h0_3 = m_v[:, None] & m_k3[None, :]
else:
p_h0_3 = h0 + o_k3[:, None] * V + o_v[None, :]
m_h0_3 = m_k3[:, None] & m_v[None, :]
b_h3 += tl.load(p_h0_3, mask=m_h0_3, other=0.0).to(tl.float32)
if K > 192:
if STATE_V_FIRST:
p_h0_4 = h0 + o_v[:, None] * K + o_k4[None, :]
m_h0_4 = m_v[:, None] & m_k4[None, :]
else:
p_h0_4 = h0 + o_k4[:, None] * V + o_v[None, :]
m_h0_4 = m_k4[:, None] & m_v[None, :]
b_h4 += tl.load(p_h0_4, mask=m_h0_4, other=0.0).to(tl.float32)
# main recurrence
for i_t in range(NT):
i_t_int64 = i_t.to(tl.int64)
o_t = i_t * BT + tl.arange(0, BT)
m_t = o_t < T
if STATE_V_FIRST:
p_h1 = h + i_t_int64 * HV*K*V + o_v[:, None] * K + o_k1[None, :]
m_h1 = m_v[:, None] & m_k1[None, :]
else:
p_h1 = h + i_t_int64 * HV*K*V + o_k1[:, None] * V + o_v[None, :]
m_h1 = m_k1[:, None] & m_v[None, :]
tl.store(p_h1, b_h1.to(p_h1.dtype.element_ty), mask=m_h1)
if K > 64:
if STATE_V_FIRST:
p_h2 = h + i_t_int64 * HV*K*V + o_v[:, None] * K + o_k2[None, :]
m_h2 = m_v[:, None] & m_k2[None, :]
else:
p_h2 = h + i_t_int64 * HV*K*V + o_k2[:, None] * V + o_v[None, :]
m_h2 = m_k2[:, None] & m_v[None, :]
tl.store(p_h2, b_h2.to(p_h2.dtype.element_ty), mask=m_h2)
if K > 128:
if STATE_V_FIRST:
p_h3 = h + i_t_int64 * HV*K*V + o_v[:, None] * K + o_k3[None, :]
m_h3 = m_v[:, None] & m_k3[None, :]
else:
p_h3 = h + i_t_int64 * HV*K*V + o_k3[:, None] * V + o_v[None, :]
m_h3 = m_k3[:, None] & m_v[None, :]
tl.store(p_h3, b_h3.to(p_h3.dtype.element_ty), mask=m_h3)
if K > 192:
if STATE_V_FIRST:
p_h4 = h + i_t_int64 * HV*K*V + o_v[:, None] * K + o_k4[None, :]
m_h4 = m_v[:, None] & m_k4[None, :]
else:
p_h4 = h + i_t_int64 * HV*K*V + o_k4[:, None] * V + o_v[None, :]
m_h4 = m_k4[:, None] & m_v[None, :]
tl.store(p_h4, b_h4.to(p_h4.dtype.element_ty), mask=m_h4)
p_w = w + o_t[:, None] * (HV*K) + o_k1[None, :]
b_w = tl.load(p_w, mask=m_t[:, None] & m_k1[None, :], other=0.0)
if STATE_V_FIRST:
b_v = tl.dot(b_w, tl.trans(b_h1).to(b_w.dtype))
else:
b_v = tl.dot(b_w, b_h1.to(b_w.dtype))
if K > 64:
p_w = w + o_t[:, None] * (HV*K) + o_k2[None, :]
b_w = tl.load(p_w, mask=m_t[:, None] & m_k2[None, :], other=0.0)
if STATE_V_FIRST:
b_v += tl.dot(b_w, tl.trans(b_h2).to(b_w.dtype))
else:
b_v += tl.dot(b_w, b_h2.to(b_w.dtype))
if K > 128:
p_w = w + o_t[:, None] * (HV*K) + o_k3[None, :]
b_w = tl.load(p_w, mask=m_t[:, None] & m_k3[None, :], other=0.0)
if STATE_V_FIRST:
b_v += tl.dot(b_w, tl.trans(b_h3).to(b_w.dtype))
else:
b_v += tl.dot(b_w, b_h3.to(b_w.dtype))
if K > 192:
p_w = w + o_t[:, None] * (HV*K) + o_k4[None, :]
b_w = tl.load(p_w, mask=m_t[:, None] & m_k4[None, :], other=0.0)
if STATE_V_FIRST:
b_v += tl.dot(b_w, tl.trans(b_h4).to(b_w.dtype))
else:
b_v += tl.dot(b_w, b_h4.to(b_w.dtype))
p_v = v + o_t[:, None] * (HV*V) + o_v[None, :]
b_v = tl.load(p_v, mask=m_t[:, None] & m_v[None, :], other=0.0) - b_v
if SAVE_NEW_VALUE:
p_v = v_new + o_t[:, None] * (HV*V) + o_v[None, :]
tl.store(p_v, b_v.to(p_v.dtype.element_ty), mask=m_t[:, None] & m_v[None, :])
last_idx = min((i_t + 1) * BT, T) - 1
if USE_G:
b_g_last = tl.load(g + (bos * HV + last_idx * HV + i_h).to(tl.int64)).to(tl.float32)
p_g = g + (bos * HV + i_h).to(tl.int64) + o_t * HV
b_g = tl.load(p_g, mask=m_t, other=0.0).to(tl.float32)
b_v = b_v * tl.where(m_t, exp2(b_g_last - b_g), 0)[:, None]
b_g_last = exp2(b_g_last)
b_h1 *= b_g_last
if K > 64:
b_h2 *= b_g_last
if K > 128:
b_h3 *= b_g_last
if K > 192:
b_h4 *= b_g_last
if USE_GK:
o_k1 = tl.arange(0, 64)
b_gk_last1 = tl.load(gk + (bos + last_idx) * HV*K + i_h * K + o_k1, mask=(o_k1 < K), other=0.).to(tl.float32)
if STATE_V_FIRST:
b_h1 *= exp2(b_gk_last1)[None, :]
else:
b_h1 *= exp2(b_gk_last1)[:, None]
if K > 64:
o_k2 = 64 + o_k1
b_gk_last2 = tl.load(gk + (bos + last_idx) * HV*K + i_h * K + o_k2, mask=(o_k2 < K), other=0.).to(tl.float32)
if STATE_V_FIRST:
b_h2 *= exp2(b_gk_last2)[None, :]
else:
b_h2 *= exp2(b_gk_last2)[:, None]
if K > 128:
o_k3 = 128 + o_k1
b_gk_last3 = tl.load(gk + (bos + last_idx) * HV*K + i_h * K + o_k3, mask=(o_k3 < K), other=0.).to(tl.float32)
if STATE_V_FIRST:
b_h3 *= exp2(b_gk_last3)[None, :]
else:
b_h3 *= exp2(b_gk_last3)[:, None]
if K > 192:
o_k4 = 192 + o_k1
b_gk_last4 = tl.load(gk + (bos + last_idx) * HV*K + i_h * K + o_k4, mask=(o_k4 < K), other=0.).to(tl.float32)
if STATE_V_FIRST:
b_h4 *= exp2(b_gk_last4)[None, :]
else:
b_h4 *= exp2(b_gk_last4)[:, None]
b_v = b_v.to(k.dtype.element_ty)
p_k = k + o_k1[:, None] + o_t[None, :] * (H*K)
b_k = tl.load(p_k, mask=m_k1[:, None] & m_t[None, :], other=0.0)
if STATE_V_FIRST:
b_h1 += tl.trans(tl.dot(b_k, b_v))
else:
b_h1 += tl.dot(b_k, b_v)
if K > 64:
p_k = k + o_k2[:, None] + o_t[None, :] * (H*K)
b_k = tl.load(p_k, mask=m_k2[:, None] & m_t[None, :], other=0.0)
if STATE_V_FIRST:
b_h2 += tl.trans(tl.dot(b_k, b_v))
else:
b_h2 += tl.dot(b_k, b_v)
if K > 128:
p_k = k + o_k3[:, None] + o_t[None, :] * (H*K)
b_k = tl.load(p_k, mask=m_k3[:, None] & m_t[None, :], other=0.0)
if STATE_V_FIRST:
b_h3 += tl.trans(tl.dot(b_k, b_v))
else:
b_h3 += tl.dot(b_k, b_v)
if K > 192:
p_k = k + o_k4[:, None] + o_t[None, :] * (H*K)
b_k = tl.load(p_k, mask=m_k4[:, None] & m_t[None, :], other=0.0)
if STATE_V_FIRST:
b_h4 += tl.trans(tl.dot(b_k, b_v))
else:
b_h4 += tl.dot(b_k, b_v)
if STORE_FINAL_STATE:
if STATE_V_FIRST:
p_ht = ht + o_v[:, None] * K + o_k1[None, :]
m_ht = m_v[:, None] & m_k1[None, :]
else:
p_ht = ht + o_k1[:, None] * V + o_v[None, :]
m_ht = m_k1[:, None] & m_v[None, :]
tl.store(p_ht, b_h1.to(p_ht.dtype.element_ty), mask=m_ht)
if K > 64:
if STATE_V_FIRST:
p_ht = ht + o_v[:, None] * K + o_k2[None, :]
m_ht = m_v[:, None] & m_k2[None, :]
else:
p_ht = ht + o_k2[:, None] * V + o_v[None, :]
m_ht = m_k2[:, None] & m_v[None, :]
tl.store(p_ht, b_h2.to(p_ht.dtype.element_ty), mask=m_ht)
if K > 128:
if STATE_V_FIRST:
p_ht = ht + o_v[:, None] * K + o_k3[None, :]
m_ht = m_v[:, None] & m_k3[None, :]
else:
p_ht = ht + o_k3[:, None] * V + o_v[None, :]
m_ht = m_k3[:, None] & m_v[None, :]
tl.store(p_ht, b_h3.to(p_ht.dtype.element_ty), mask=m_ht)
if K > 192:
if STATE_V_FIRST:
p_ht = ht + o_v[:, None] * K + o_k4[None, :]
m_ht = m_v[:, None] & m_k4[None, :]
else:
p_ht = ht + o_k4[:, None] * V + o_v[None, :]
m_ht = m_k4[:, None] & m_v[None, :]
tl.store(p_ht, b_h4.to(p_ht.dtype.element_ty), mask=m_ht)
@triton.heuristics({
'USE_G': lambda args: args['g'] is not None,
'USE_GK': lambda args: args['gk'] is not None,
'USE_INITIAL_STATE': lambda args: args['dh0'] is not None,
'USE_FINAL_STATE_GRADIENT': lambda args: args['dht'] is not None,
'IS_VARLEN': lambda args: args['cu_seqlens'] is not None,
})
@fla_cache_autotune(
configs=[
triton.Config({'BV': BV}, num_warps=num_warps, num_stages=num_stages)
for num_warps in [2, 4]
for num_stages in ([2, 3, 4] if check_shared_mem('ampere') else [1])
for BV in ([32, 64] if check_shared_mem('ada') else [32])
],
key=['H', 'HV', 'K', 'V', 'BT', 'BV', 'USE_G', 'STATE_V_FIRST'],
**autotune_cache_kwargs,
)
@triton.jit(do_not_specialize=['T'])
def chunk_gated_delta_rule_bwd_kernel_dhu_blockdim64(
q,
k,
w,
g,
gk,
dht,
dh0,
do,
dh,
dv,
dv2,
cu_seqlens,
chunk_offsets,
scale,
T,
H: tl.constexpr,
HV: tl.constexpr,
K: tl.constexpr,
V: tl.constexpr,
BT: tl.constexpr,
BV: tl.constexpr,
USE_G: tl.constexpr,
USE_GK: tl.constexpr,
USE_INITIAL_STATE: tl.constexpr,
USE_FINAL_STATE_GRADIENT: tl.constexpr,
STATE_V_FIRST: tl.constexpr,
IS_VARLEN: tl.constexpr,
):
pid = tl.program_id(0)
NV = tl.cdiv(V, BV)
i_v, i_nh = pid % NV, (pid // NV).to(tl.int64)
i_n, i_h = i_nh // HV, i_nh % HV
if IS_VARLEN:
bos, eos = tl.load(cu_seqlens + i_n).to(tl.int64), tl.load(cu_seqlens + i_n + 1).to(tl.int64)
T = eos - bos
NT = tl.cdiv(T, BT)
boh = tl.load(chunk_offsets + i_n).to(tl.int64)
else:
bos, eos = i_n * T, i_n * T + T
NT = tl.cdiv(T, BT)
boh = i_n * NT
if STATE_V_FIRST:
b_dh1 = tl.zeros([BV, 64], dtype=tl.float32)
if K > 64:
b_dh2 = tl.zeros([BV, 64], dtype=tl.float32)
if K > 128:
b_dh3 = tl.zeros([BV, 64], dtype=tl.float32)
if K > 192:
b_dh4 = tl.zeros([BV, 64], dtype=tl.float32)
else:
b_dh1 = tl.zeros([64, BV], dtype=tl.float32)
if K > 64:
b_dh2 = tl.zeros([64, BV], dtype=tl.float32)
if K > 128:
b_dh3 = tl.zeros([64, BV], dtype=tl.float32)
if K > 192:
b_dh4 = tl.zeros([64, BV], dtype=tl.float32)
# calculate offset
q += (bos * H + i_h // (HV // H)).to(tl.int64) * K
k += (bos * H + i_h // (HV // H)).to(tl.int64) * K
w += (bos * HV + i_h).to(tl.int64) * K
do += (bos * HV + i_h).to(tl.int64) * V
dv += (bos * HV + i_h).to(tl.int64) * V
dv2 += (bos * HV + i_h).to(tl.int64) * V
dh += (boh * HV + i_h).to(tl.int64) * K*V
if USE_GK:
gk += (bos * HV + i_h).to(tl.int64) * K
if USE_INITIAL_STATE:
dh0 += i_nh * K*V
if USE_FINAL_STATE_GRADIENT:
dht += i_nh * K*V
o_v = i_v * BV + tl.arange(0, BV)
m_v = o_v < V
o_k1 = tl.arange(0, 64)
m_k1 = o_k1 < K
o_k2 = 64 + o_k1
m_k2 = o_k2 < K
o_k3 = 128 + o_k1
m_k3 = o_k3 < K
o_k4 = 192 + o_k1
m_k4 = o_k4 < K
if USE_FINAL_STATE_GRADIENT:
if STATE_V_FIRST:
p_dht1 = dht + o_v[:, None] * K + o_k1[None, :]
m_dht1 = m_v[:, None] & m_k1[None, :]
else:
p_dht1 = dht + o_k1[:, None] * V + o_v[None, :]
m_dht1 = m_k1[:, None] & m_v[None, :]
b_dh1 += tl.load(p_dht1, mask=m_dht1, other=0.0)
if K > 64:
if STATE_V_FIRST:
p_dht2 = dht + o_v[:, None] * K + o_k2[None, :]
m_dht2 = m_v[:, None] & m_k2[None, :]
else:
p_dht2 = dht + o_k2[:, None] * V + o_v[None, :]
m_dht2 = m_k2[:, None] & m_v[None, :]
b_dh2 += tl.load(p_dht2, mask=m_dht2, other=0.0)
if K > 128:
if STATE_V_FIRST:
p_dht3 = dht + o_v[:, None] * K + o_k3[None, :]
m_dht3 = m_v[:, None] & m_k3[None, :]
else:
p_dht3 = dht + o_k3[:, None] * V + o_v[None, :]
m_dht3 = m_k3[:, None] & m_v[None, :]
b_dh3 += tl.load(p_dht3, mask=m_dht3, other=0.0)
if K > 192:
if STATE_V_FIRST:
p_dht4 = dht + o_v[:, None] * K + o_k4[None, :]
m_dht4 = m_v[:, None] & m_k4[None, :]
else:
p_dht4 = dht + o_k4[:, None] * V + o_v[None, :]
m_dht4 = m_k4[:, None] & m_v[None, :]
b_dh4 += tl.load(p_dht4, mask=m_dht4, other=0.0)
for i_t in range(NT - 1, -1, -1):
i_t_int64 = i_t.to(tl.int64)
o_t = i_t * BT + tl.arange(0, BT)
m_t = o_t < T
if STATE_V_FIRST:
p_dh1 = dh + i_t_int64*HV*K*V + o_v[:, None] * K + o_k1[None, :]
m_dh1 = m_v[:, None] & m_k1[None, :]
else:
p_dh1 = dh + i_t_int64*HV*K*V + o_k1[:, None] * V + o_v[None, :]
m_dh1 = m_k1[:, None] & m_v[None, :]
tl.store(p_dh1, b_dh1.to(p_dh1.dtype.element_ty), mask=m_dh1)
if K > 64:
if STATE_V_FIRST:
p_dh2 = dh + i_t_int64*HV*K*V + o_v[:, None] * K + o_k2[None, :]
m_dh2 = m_v[:, None] & m_k2[None, :]
else:
p_dh2 = dh + i_t_int64*HV*K*V + o_k2[:, None] * V + o_v[None, :]
m_dh2 = m_k2[:, None] & m_v[None, :]
tl.store(p_dh2, b_dh2.to(p_dh2.dtype.element_ty), mask=m_dh2)
if K > 128:
if STATE_V_FIRST:
p_dh3 = dh + i_t_int64*HV*K*V + o_v[:, None] * K + o_k3[None, :]
m_dh3 = m_v[:, None] & m_k3[None, :]
else:
p_dh3 = dh + i_t_int64*HV*K*V + o_k3[:, None] * V + o_v[None, :]
m_dh3 = m_k3[:, None] & m_v[None, :]
tl.store(p_dh3, b_dh3.to(p_dh3.dtype.element_ty), mask=m_dh3)
if K > 192:
if STATE_V_FIRST:
p_dh4 = dh + i_t_int64*HV*K*V + o_v[:, None] * K + o_k4[None, :]
m_dh4 = m_v[:, None] & m_k4[None, :]
else:
p_dh4 = dh + i_t_int64*HV*K*V + o_k4[:, None] * V + o_v[None, :]
m_dh4 = m_k4[:, None] & m_v[None, :]
tl.store(p_dh4, b_dh4.to(p_dh4.dtype.element_ty), mask=m_dh4)
last_idx = min((i_t + 1) * BT, T) - 1
if USE_G:
bg_last = tl.load(g + (bos + last_idx) * HV + i_h).to(tl.float32)
p_g = g + bos * HV + i_h + o_t * HV
b_g = tl.load(p_g, mask=m_t, other=0.0).to(tl.float32)
bg_last_exp = exp2(bg_last)
b_g_exp = exp2(b_g)
p_dv = dv + o_t[:, None] * (HV*V) + o_v[None, :]
p_dv2 = dv2 + o_t[:, None] * (HV*V) + o_v[None, :]
p_do = do + o_t[:, None] * (HV*V) + o_v[None, :]
b_do = tl.load(p_do, mask=m_t[:, None] & m_v[None, :], other=0.0)
# Update dv
p_k = k + o_t[:, None] * (H*K) + o_k1[None, :]
b_k = tl.load(p_k, mask=m_t[:, None] & m_k1[None, :], other=0.0)
if USE_GK:
o_k1 = tl.arange(0, 64)
b_gk_last1 = tl.load(gk + last_idx * HV*K + o_k1, mask=(o_k1 < K), other=0.).to(tl.float32)
if STATE_V_FIRST:
b_dv = tl.dot(b_k, tl.trans(b_dh1).to(b_k.dtype))
else:
b_dv = tl.dot(b_k, b_dh1.to(b_k.dtype))
if K > 64:
p_k = k + o_t[:, None] * (H*K) + o_k2[None, :]
b_k = tl.load(p_k, mask=m_t[:, None] & m_k2[None, :], other=0.0)
if USE_GK:
b_gk_last2 = tl.load(gk + last_idx * HV*K + o_k2, mask=(o_k2 < K), other=0.).to(tl.float32)
if STATE_V_FIRST:
b_dv += tl.dot(b_k, tl.trans(b_dh2).to(b_k.dtype))
else:
b_dv += tl.dot(b_k, b_dh2.to(b_k.dtype))
if K > 128:
p_k = k + o_t[:, None] * (H*K) + o_k3[None, :]
b_k = tl.load(p_k, mask=m_t[:, None] & m_k3[None, :], other=0.0)
if USE_GK:
b_gk_last3 = tl.load(gk + last_idx * HV*K + o_k3, mask=(o_k3 < K), other=0.).to(tl.float32)
if STATE_V_FIRST:
b_dv += tl.dot(b_k, tl.trans(b_dh3).to(b_k.dtype))
else:
b_dv += tl.dot(b_k, b_dh3.to(b_k.dtype))
if K > 192:
p_k = k + o_t[:, None] * (H*K) + o_k4[None, :]
b_k = tl.load(p_k, mask=m_t[:, None] & m_k4[None, :], other=0.0)
if USE_GK:
b_gk_last4 = tl.load(gk + last_idx * HV*K + o_k4, mask=(o_k4 < K), other=0.).to(tl.float32)
if STATE_V_FIRST:
b_dv += tl.dot(b_k, tl.trans(b_dh4).to(b_k.dtype))
else:
b_dv += tl.dot(b_k, b_dh4.to(b_k.dtype))
if USE_G:
b_dv *= tl.where(m_t, exp2(bg_last - b_g), 0)[:, None]
b_dv += tl.load(p_dv, mask=m_t[:, None] & m_v[None, :], other=0.0)
tl.store(p_dv2, b_dv.to(p_dv.dtype.element_ty), mask=m_t[:, None] & m_v[None, :])
# Update dh
p_w = w + o_k1[:, None] + o_t[None, :] * (HV*K)
p_q = q + o_k1[:, None] + o_t[None, :] * (H*K)
b_w = tl.load(p_w, mask=m_k1[:, None] & m_t[None, :], other=0.0)
b_q = tl.load(p_q, mask=m_k1[:, None] & m_t[None, :], other=0.0)
if USE_G:
b_dh1 *= bg_last_exp
b_q = b_q * b_g_exp[None, :]
if USE_GK:
if STATE_V_FIRST:
b_dh1 *= exp2(b_gk_last1)[None, :]
else:
b_dh1 *= exp2(b_gk_last1[:, None])
if STATE_V_FIRST:
b_dh1 += tl.trans(tl.dot(b_q.to(b_q.dtype), b_do.to(b_q.dtype)) * scale - tl.dot(b_w, b_dv.to(b_w.dtype)))
else:
b_dh1 += tl.dot(b_q.to(b_q.dtype), b_do.to(b_q.dtype)) * scale - tl.dot(b_w, b_dv.to(b_w.dtype))
if K > 64:
p_q = q + o_k2[:, None] + o_t[None, :] * (H*K)
p_w = w + o_k2[:, None] + o_t[None, :] * (HV*K)
b_q = tl.load(p_q, mask=m_k2[:, None] & m_t[None, :], other=0.0)
b_w = tl.load(p_w, mask=m_k2[:, None] & m_t[None, :], other=0.0)
if USE_G:
b_dh2 *= bg_last_exp
b_q = b_q * b_g_exp[None, :]
if USE_GK:
if STATE_V_FIRST:
b_dh2 *= exp2(b_gk_last2)[None, :]
else:
b_dh2 *= exp2(b_gk_last2[:, None])
if STATE_V_FIRST:
b_dh2 += tl.trans(tl.dot(b_q.to(b_q.dtype), b_do.to(b_q.dtype)) * scale - tl.dot(b_w, b_dv.to(b_w.dtype)))
else:
b_dh2 += tl.dot(b_q.to(b_q.dtype), b_do.to(b_q.dtype)) * scale - tl.dot(b_w, b_dv.to(b_w.dtype))
if K > 128:
p_q = q + o_k3[:, None] + o_t[None, :] * (H*K)
p_w = w + o_k3[:, None] + o_t[None, :] * (HV*K)
b_q = tl.load(p_q, mask=m_k3[:, None] & m_t[None, :], other=0.0)
b_w = tl.load(p_w, mask=m_k3[:, None] & m_t[None, :], other=0.0)
if USE_G:
b_dh3 *= bg_last_exp
b_q = b_q * b_g_exp[None, :]
if USE_GK:
if STATE_V_FIRST:
b_dh3 *= exp2(b_gk_last3)[None, :]
else:
b_dh3 *= exp2(b_gk_last3[:, None])
if STATE_V_FIRST:
b_dh3 += tl.trans(tl.dot(b_q.to(b_q.dtype), b_do.to(b_q.dtype)) * scale - tl.dot(b_w, b_dv.to(b_w.dtype)))
else:
b_dh3 += tl.dot(b_q.to(b_q.dtype), b_do.to(b_q.dtype)) * scale - tl.dot(b_w, b_dv.to(b_w.dtype))
if K > 192:
p_q = q + o_k4[:, None] + o_t[None, :] * (H*K)
p_w = w + o_k4[:, None] + o_t[None, :] * (HV*K)
b_q = tl.load(p_q, mask=m_k4[:, None] & m_t[None, :], other=0.0)
b_w = tl.load(p_w, mask=m_k4[:, None] & m_t[None, :], other=0.0)
if USE_G:
b_dh4 *= bg_last_exp
b_q = b_q * b_g_exp[None, :]
if USE_GK:
if STATE_V_FIRST:
b_dh4 *= exp2(b_gk_last4)[None, :]
else:
b_dh4 *= exp2(b_gk_last4[:, None])
if STATE_V_FIRST:
b_dh4 += tl.trans(tl.dot(b_q.to(b_q.dtype), b_do.to(b_q.dtype)) * scale - tl.dot(b_w, b_dv.to(b_w.dtype)))
else:
b_dh4 += tl.dot(b_q.to(b_q.dtype), b_do.to(b_q.dtype)) * scale - tl.dot(b_w, b_dv.to(b_w.dtype))
if USE_INITIAL_STATE:
if STATE_V_FIRST:
p_dh0 = dh0 + o_v[:, None] * K + o_k1[None, :]
m_dh0 = m_v[:, None] & m_k1[None, :]
else:
p_dh0 = dh0 + o_k1[:, None] * V + o_v[None, :]
m_dh0 = m_k1[:, None] & m_v[None, :]
tl.store(p_dh0, b_dh1.to(p_dh0.dtype.element_ty), mask=m_dh0)
if K > 64:
if STATE_V_FIRST:
p_dh1 = dh0 + o_v[:, None] * K + o_k2[None, :]
m_dh1 = m_v[:, None] & m_k2[None, :]
else:
p_dh1 = dh0 + o_k2[:, None] * V + o_v[None, :]
m_dh1 = m_k2[:, None] & m_v[None, :]
tl.store(p_dh1, b_dh2.to(p_dh1.dtype.element_ty), mask=m_dh1)
if K > 128:
if STATE_V_FIRST:
p_dh2 = dh0 + o_v[:, None] * K + o_k3[None, :]
m_dh2 = m_v[:, None] & m_k3[None, :]
else:
p_dh2 = dh0 + o_k3[:, None] * V + o_v[None, :]
m_dh2 = m_k3[:, None] & m_v[None, :]
tl.store(p_dh2, b_dh3.to(p_dh2.dtype.element_ty), mask=m_dh2)
if K > 192:
if STATE_V_FIRST:
p_dh3 = dh0 + o_v[:, None] * K + o_k4[None, :]
m_dh3 = m_v[:, None] & m_k4[None, :]
else:
p_dh3 = dh0 + o_k4[:, None] * V + o_v[None, :]
m_dh3 = m_k4[:, None] & m_v[None, :]
tl.store(p_dh3, b_dh4.to(p_dh3.dtype.element_ty), mask=m_dh3)
@dispatch('common')
def chunk_gated_delta_rule_fwd_h(
k: torch.Tensor,
w: torch.Tensor,
u: torch.Tensor,
g: torch.Tensor | None = None,
gk: torch.Tensor | None = None,
initial_state: torch.Tensor | None = None,
output_final_state: bool = False,
chunk_size: int = 64,
save_new_value: bool = True,
state_v_first: bool = False,
cu_seqlens: torch.LongTensor | None = None,
cu_seqlens_cpu: torch.LongTensor | None = None,
chunk_indices: torch.LongTensor | None = None,
) -> tuple[torch.Tensor, torch.Tensor, torch.Tensor | None]:
B, T, H, K, V, HV = *k.shape, u.shape[-1], u.shape[2]
BT = chunk_size
if chunk_indices is None and cu_seqlens is not None:
chunk_indices = prepare_chunk_indices(cu_seqlens, chunk_size)
# N: the actual number of sequences in the batch with either equal or variable lengths
if cu_seqlens is None:
N, NT, chunk_offsets = B, triton.cdiv(T, BT), None
else:
N, NT, chunk_offsets = len(cu_seqlens) - 1, len(chunk_indices), prepare_chunk_offsets(cu_seqlens, BT)
assert K <= 256, "current kernel does not support head dimension larger than 256."
if state_v_first:
h = k.new_empty(B, NT, HV, V, K)
final_state = k.new_zeros(N, HV, V, K, dtype=torch.float32) if output_final_state else None
else:
h = k.new_empty(B, NT, HV, K, V)
final_state = k.new_zeros(N, HV, K, V, dtype=torch.float32) if output_final_state else None
v_new = torch.empty_like(u) if save_new_value else None
def grid(meta): return (triton.cdiv(V, meta['BV']) * N * HV, )
chunk_gated_delta_rule_fwd_kernel_h_blockdim64[grid](
k=k,
v=u,
w=w,
v_new=v_new,
g=g,
gk=gk,
h=h,
h0=initial_state,
ht=final_state,
cu_seqlens=cu_seqlens,
chunk_offsets=chunk_offsets,
T=T,
H=H,
HV=HV,
K=K,
V=V,
BT=BT,
STATE_V_FIRST=state_v_first,
)
return h, v_new, final_state
@dispatch('common')
def chunk_gated_delta_rule_bwd_dhu(
q: torch.Tensor,
k: torch.Tensor,
w: torch.Tensor,
do: torch.Tensor,
dv: torch.Tensor,
g: torch.Tensor | None = None,
gk: torch.Tensor | None = None,
h0: torch.Tensor | None = None,
dht: torch.Tensor | None = None,
scale: float | None = None,
state_v_first: bool = False,
cu_seqlens: torch.LongTensor | None = None,
chunk_size: int = 64,
chunk_indices: torch.LongTensor | None = None,
) -> tuple[torch.Tensor, torch.Tensor, torch.Tensor]:
B, T, H, K, V, HV = *q.shape, do.shape[-1], do.shape[2]
# N: the actual number of sequences in the batch with either equal or variable lengths
BT = chunk_size
assert K <= 256, "current kernel does not support head dimension being larger than 256."
if chunk_indices is None and cu_seqlens is not None:
chunk_indices = prepare_chunk_indices(cu_seqlens, chunk_size)
if cu_seqlens is None:
N, NT, chunk_offsets = B, triton.cdiv(T, BT), None
else:
N, NT, chunk_offsets = len(cu_seqlens) - 1, len(chunk_indices), prepare_chunk_offsets(cu_seqlens, BT)
if state_v_first:
dh = q.new_empty(B, NT, HV, V, K)
else:
dh = q.new_empty(B, NT, HV, K, V)
dh0 = torch.empty_like(h0, dtype=torch.float32) if h0 is not None else None
dv2 = torch.empty_like(dv)
def grid(meta): return (triton.cdiv(V, meta['BV']) * N * HV, )
chunk_gated_delta_rule_bwd_kernel_dhu_blockdim64[grid](
q=q,
k=k,
w=w,
g=g,
gk=gk,
dht=dht,
dh0=dh0,
do=do,
dh=dh,
dv=dv,
dv2=dv2,
cu_seqlens=cu_seqlens,
chunk_offsets=chunk_offsets,
scale=scale,
T=T,
H=H,
HV=HV,
K=K,
V=V,
BT=BT,
STATE_V_FIRST=state_v_first,
)
return dh, dh0, dv2
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