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Add Echo-Memory codebase used for this run (CC BY 4.0, JD Echo Team) (part 3)
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# Copyright (c) 2023-2025, Songlin Yang, Yu Zhang
import torch
import triton
import triton.language as tl
from fla.ops.utils.index import prepare_chunk_indices
from fla.utils import autotune_cache_kwargs, check_shared_mem, input_guard
BS_LIST = [32, 64] if check_shared_mem() else [16, 32]
@triton.heuristics({
'HAS_SCALE': lambda args: args['scale'] is not None,
'IS_VARLEN': lambda args: args['cu_seqlens'] is not None,
})
@triton.autotune(
configs=[
triton.Config({}, num_warps=num_warps)
for num_warps in [1, 2, 4, 8]
],
key=['B', 'H', 'BT', 'IS_VARLEN', 'REVERSE'],
**autotune_cache_kwargs,
)
@triton.jit(do_not_specialize=['T'])
def chunk_local_cumsum_scalar_kernel(
s,
o,
scale,
cu_seqlens,
chunk_indices,
T,
B: tl.constexpr,
H: tl.constexpr,
BT: tl.constexpr,
REVERSE: tl.constexpr,
HAS_SCALE: tl.constexpr,
IS_VARLEN: tl.constexpr,
HEAD_FIRST: tl.constexpr,
):
i_t, i_bh = tl.program_id(0), tl.program_id(1)
i_b, i_h = i_bh // H, i_bh % H
if IS_VARLEN:
i_n, i_t = tl.load(chunk_indices + i_t * 2).to(tl.int32), tl.load(chunk_indices + i_t * 2 + 1).to(tl.int32)
bos, eos = tl.load(cu_seqlens + i_n).to(tl.int32), tl.load(cu_seqlens + i_n + 1).to(tl.int32)
T = eos - bos
else:
bos, eos = i_b * T, i_b * T + T
if HEAD_FIRST:
p_s = tl.make_block_ptr(s + bos*H + i_h*T, (T,), (1,), (i_t * BT,), (BT,), (0,))
p_o = tl.make_block_ptr(o + bos*H + i_h*T, (T,), (1,), (i_t * BT,), (BT,), (0,))
else:
p_s = tl.make_block_ptr(s + bos*H + i_h, (T,), (H,), (i_t * BT,), (BT,), (0,))
p_o = tl.make_block_ptr(o + bos*H + i_h, (T,), (H,), (i_t * BT,), (BT,), (0,))
# [BT]
b_s = tl.load(p_s, boundary_check=(0,)).to(tl.float32)
b_o = tl.cumsum(b_s, axis=0)
if REVERSE:
b_z = tl.sum(b_s, axis=0)
b_o = -b_o + b_z[None] + b_s
if HAS_SCALE:
b_o *= scale
tl.store(p_o, b_o.to(p_o.dtype.element_ty), boundary_check=(0,))
@triton.heuristics({
'HAS_SCALE': lambda args: args['scale'] is not None,
'IS_VARLEN': lambda args: args['cu_seqlens'] is not None,
})
@triton.autotune(
configs=[
triton.Config({'BS': BS}, num_warps=num_warps)
for BS in BS_LIST
for num_warps in [2, 4, 8]
],
key=['B', 'H', 'S', 'BT', 'IS_VARLEN', 'REVERSE'],
**autotune_cache_kwargs,
)
@triton.jit(do_not_specialize=['T'])
def chunk_local_cumsum_vector_kernel(
s,
o,
scale,
cu_seqlens,
chunk_indices,
T,
B: tl.constexpr,
H: tl.constexpr,
S: tl.constexpr,
BT: tl.constexpr,
BS: tl.constexpr,
REVERSE: tl.constexpr,
HAS_SCALE: tl.constexpr,
IS_VARLEN: tl.constexpr,
HEAD_FIRST: tl.constexpr,
):
i_s, i_t, i_bh = tl.program_id(0), tl.program_id(1), tl.program_id(2)
i_b, i_h = i_bh // H, i_bh % H
if IS_VARLEN:
i_n, i_t = tl.load(chunk_indices + i_t * 2).to(tl.int32), tl.load(chunk_indices + i_t * 2 + 1).to(tl.int32)
bos, eos = tl.load(cu_seqlens + i_n).to(tl.int32), tl.load(cu_seqlens + i_n + 1).to(tl.int32)
T = eos - bos
else:
bos, eos = i_b * T, i_b * T + T
o_i = tl.arange(0, BT)
if REVERSE:
m_s = tl.where(o_i[:, None] <= o_i[None, :], 1., 0.)
else:
m_s = tl.where(o_i[:, None] >= o_i[None, :], 1., 0.)
if HEAD_FIRST:
p_s = tl.make_block_ptr(s + (bos * H + i_h*T)*S, (T, S), (S, 1), (i_t * BT, i_s * BS), (BT, BS), (1, 0))
p_o = tl.make_block_ptr(o + (bos * H + i_h*T)*S, (T, S), (S, 1), (i_t * BT, i_s * BS), (BT, BS), (1, 0))
else:
p_s = tl.make_block_ptr(s + (bos * H + i_h) * S, (T, S), (H*S, 1), (i_t * BT, i_s * BS), (BT, BS), (1, 0))
p_o = tl.make_block_ptr(o + (bos * H + i_h) * S, (T, S), (H*S, 1), (i_t * BT, i_s * BS), (BT, BS), (1, 0))
# [BT, BS]
b_s = tl.load(p_s, boundary_check=(0, 1)).to(tl.float32)
b_o = tl.dot(m_s, b_s, allow_tf32=False)
if HAS_SCALE:
b_o *= scale
tl.store(p_o, b_o.to(p_o.dtype.element_ty), boundary_check=(0, 1))
@triton.heuristics({
'HAS_SCALE': lambda args: args['scale'] is not None,
'IS_VARLEN': lambda args: args['cu_seqlens'] is not None,
})
@triton.autotune(
configs=[
triton.Config({'BT': BT}, num_warps=num_warps, num_stages=num_stages)
for BT in [32, 64, 128, 256]
for num_warps in [2, 4, 8]
for num_stages in [1, 2, 3, 4]
],
key=['B', 'H', 'IS_VARLEN', 'REVERSE'],
**autotune_cache_kwargs,
)
@triton.jit(do_not_specialize=['T'])
def chunk_global_cumsum_scalar_kernel(
s,
o,
scale,
cu_seqlens,
T,
B: tl.constexpr,
H: tl.constexpr,
BT: tl.constexpr,
REVERSE: tl.constexpr,
HAS_SCALE: tl.constexpr,
IS_VARLEN: tl.constexpr,
HEAD_FIRST: tl.constexpr,
):
i_nh = tl.program_id(0)
i_n, i_h = i_nh // H, i_nh % H
if IS_VARLEN:
bos, eos = tl.load(cu_seqlens + i_n).to(tl.int32), tl.load(cu_seqlens + i_n + 1).to(tl.int32)
else:
bos, eos = i_n * T, i_n * T + T
T = eos - bos
b_z = tl.zeros([], dtype=tl.float32)
NT = tl.cdiv(T, BT)
for i_c in range(NT):
i_t = NT - 1 - i_c if REVERSE else i_c
if HEAD_FIRST:
p_s = tl.make_block_ptr(s + bos*H + i_h*T, (T,), (1,), (i_t * BT,), (BT,), (0,))
p_o = tl.make_block_ptr(o + bos*H + i_h*T, (T,), (1,), (i_t * BT,), (BT,), (0,))
else:
p_s = tl.make_block_ptr(s + bos*H + i_h, (T,), (H,), (i_t * BT,), (BT,), (0,))
p_o = tl.make_block_ptr(o + bos*H + i_h, (T,), (H,), (i_t * BT,), (BT,), (0,))
b_s = tl.load(p_s, boundary_check=(0,)).to(tl.float32)
b_o = tl.cumsum(b_s, axis=0)
b_ss = tl.sum(b_s, 0)
if REVERSE:
b_o = -b_o + b_ss + b_s
b_o += b_z
if i_c >= 0:
b_z += b_ss
if HAS_SCALE:
b_o *= scale
tl.store(p_o, b_o.to(p_o.dtype.element_ty), boundary_check=(0,))
@triton.heuristics({
'HAS_SCALE': lambda args: args['scale'] is not None,
'IS_VARLEN': lambda args: args['cu_seqlens'] is not None,
})
@triton.autotune(
configs=[
triton.Config({'BT': BT}, num_warps=num_warps, num_stages=num_stages)
for BT in [16, 32, 64, 128]
for num_warps in [2, 4, 8]
for num_stages in [1, 2, 3, 4]
],
key=['B', 'H', 'S', 'IS_VARLEN', 'REVERSE'],
**autotune_cache_kwargs,
)
@triton.jit(do_not_specialize=['T'])
def chunk_global_cumsum_vector_kernel(
s,
o,
scale,
cu_seqlens,
T,
B: tl.constexpr,
H: tl.constexpr,
S: tl.constexpr,
BT: tl.constexpr,
BS: tl.constexpr,
REVERSE: tl.constexpr,
HAS_SCALE: tl.constexpr,
IS_VARLEN: tl.constexpr,
HEAD_FIRST: tl.constexpr,
):
i_s, i_nh = tl.program_id(0), tl.program_id(1)
i_n, i_h = i_nh // H, i_nh % H
if IS_VARLEN:
bos, eos = tl.load(cu_seqlens + i_n).to(tl.int32), tl.load(cu_seqlens + i_n + 1).to(tl.int32)
else:
bos, eos = i_n * T, i_n * T + T
T = eos - bos
o_i = tl.arange(0, BT)
if REVERSE:
m_s = tl.where(o_i[:, None] <= o_i[None, :], 1., 0.)
else:
m_s = tl.where(o_i[:, None] >= o_i[None, :], 1., 0.)
b_z = tl.zeros([BS], dtype=tl.float32)
NT = tl.cdiv(T, BT)
for i_c in range(NT):
i_t = NT - 1 - i_c if REVERSE else i_c
if HEAD_FIRST:
p_s = tl.make_block_ptr(s + (bos * H + i_h*T)*S, (T, S), (S, 1), (i_t * BT, i_s * BS), (BT, BS), (1, 0))
p_o = tl.make_block_ptr(o + (bos * H + i_h*T)*S, (T, S), (S, 1), (i_t * BT, i_s * BS), (BT, BS), (1, 0))
else:
p_s = tl.make_block_ptr(s + (bos * H + i_h) * S, (T, S), (H*S, 1), (i_t * BT, i_s * BS), (BT, BS), (1, 0))
p_o = tl.make_block_ptr(o + (bos * H + i_h) * S, (T, S), (H*S, 1), (i_t * BT, i_s * BS), (BT, BS), (1, 0))
# [BT, BS]
b_s = tl.load(p_s, boundary_check=(0, 1)).to(tl.float32)
b_c = b_z[None, :] + tl.dot(m_s, b_s, allow_tf32=False)
if HAS_SCALE:
b_c *= scale
tl.store(p_o, b_c.to(p_o.dtype.element_ty), boundary_check=(0, 1))
b_z += tl.sum(b_s, 0)
def chunk_local_cumsum_scalar(
g: torch.Tensor,
chunk_size: int,
reverse: bool = False,
scale: float = None,
cu_seqlens: torch.Tensor | None = None,
head_first: bool = False,
output_dtype: torch.dtype | None = torch.float,
) -> torch.Tensor:
if head_first:
B, H, T = g.shape
else:
B, T, H = g.shape
assert chunk_size == 2**(chunk_size.bit_length()-1), "chunk_size must be a power of 2"
BT = chunk_size
chunk_indices = prepare_chunk_indices(cu_seqlens, BT) if cu_seqlens is not None else None
NT = triton.cdiv(T, BT) if cu_seqlens is None else len(chunk_indices)
g_org, g = g, torch.empty_like(g, dtype=output_dtype or g.dtype)
grid = (NT, B * H)
chunk_local_cumsum_scalar_kernel[grid](
s=g_org,
o=g,
scale=scale,
cu_seqlens=cu_seqlens,
chunk_indices=chunk_indices,
T=T,
B=B,
H=H,
BT=BT,
HEAD_FIRST=head_first,
REVERSE=reverse,
)
return g
def chunk_local_cumsum_vector(
g: torch.Tensor,
chunk_size: int,
reverse: bool = False,
scale: float = None,
cu_seqlens: torch.Tensor | None = None,
head_first: bool = False,
output_dtype: torch.dtype | None = torch.float,
) -> torch.Tensor:
if head_first:
B, H, T, S = g.shape
else:
B, T, H, S = g.shape
BT = chunk_size
chunk_indices = prepare_chunk_indices(cu_seqlens, chunk_size) if cu_seqlens is not None else None
NT = triton.cdiv(T, BT) if cu_seqlens is None else len(chunk_indices)
assert chunk_size == 2**(chunk_size.bit_length()-1), "chunk_size must be a power of 2"
# --- PyTorch fallback (replaces Triton kernel for driver compat) ---
out_dtype = output_dtype or g.dtype
if cu_seqlens is not None:
# varlen path: fall back to original Triton kernel
g_org, g = g, torch.empty_like(g, dtype=out_dtype)
def grid(meta): return (triton.cdiv(meta['S'], meta['BS']), NT, B * H)
chunk_local_cumsum_vector_kernel[grid](
s=g_org, o=g, scale=scale, cu_seqlens=cu_seqlens,
chunk_indices=chunk_indices, T=T, B=B, H=H, S=S, BT=BT,
HEAD_FIRST=head_first, REVERSE=reverse,
)
return g
pad = BT - (T % BT) if T % BT != 0 else 0
if head_first:
g_f = g.float()
if pad > 0:
g_f = torch.nn.functional.pad(g_f, (0, 0, 0, pad))
g_c = g_f.view(B, H, -1, BT, S)
g_c = g_c.flip(3).cumsum(3).flip(3) if reverse else g_c.cumsum(3)
if scale is not None:
g_c = g_c * scale
return g_c.view(B, H, -1, S)[:, :, :T, :].to(out_dtype)
else:
g_f = g.float()
if pad > 0:
g_f = torch.nn.functional.pad(g_f, (0, 0, 0, 0, 0, pad))
g_c = g_f.view(B, -1, BT, H, S)
g_c = g_c.flip(2).cumsum(2).flip(2) if reverse else g_c.cumsum(2)
if scale is not None:
g_c = g_c * scale
return g_c.view(B, -1, H, S)[:, :T, :, :].to(out_dtype)
@input_guard
def chunk_global_cumsum_scalar(
s: torch.Tensor,
reverse: bool = False,
cu_seqlens: torch.Tensor | None = None,
scale: float = None,
head_first: bool = False,
output_dtype: torch.dtype | None = torch.float,
) -> torch.Tensor:
if head_first:
B, H, T = s.shape
else:
B, T, H = s.shape
N = len(cu_seqlens) - 1 if cu_seqlens is not None else B
z = torch.empty_like(s, dtype=output_dtype or s.dtype)
grid = (N * H,)
chunk_global_cumsum_scalar_kernel[grid](
s=s,
o=z,
scale=scale,
cu_seqlens=cu_seqlens,
T=T,
B=B,
H=H,
HEAD_FIRST=head_first,
REVERSE=reverse,
)
return z
@input_guard
def chunk_global_cumsum_vector(
s: torch.Tensor,
reverse: bool = False,
cu_seqlens: torch.Tensor | None = None,
scale: float = None,
head_first: bool = False,
output_dtype: torch.dtype | None = torch.float,
) -> torch.Tensor:
if head_first:
B, H, T, S = s.shape
else:
B, T, H, S = s.shape
N = len(cu_seqlens) - 1 if cu_seqlens is not None else B
BS = min(32, triton.next_power_of_2(S))
z = torch.empty_like(s, dtype=output_dtype or s.dtype)
grid = (triton.cdiv(S, BS), N * H)
chunk_global_cumsum_vector_kernel[grid](
s=s,
o=z,
scale=scale,
cu_seqlens=cu_seqlens,
T=T,
B=B,
H=H,
S=S,
BS=BS,
HEAD_FIRST=head_first,
REVERSE=reverse,
)
return z
@input_guard
def chunk_global_cumsum(
s: torch.Tensor,
reverse: bool = False,
cu_seqlens: torch.Tensor | None = None,
scale: float = None,
head_first: bool = False,
output_dtype: torch.dtype | None = torch.float,
) -> torch.Tensor:
if cu_seqlens is not None:
assert s.shape[0] == 1, "Only batch size 1 is supported when cu_seqlens are provided"
if len(s.shape) == 3:
return chunk_global_cumsum_scalar(
s=s,
reverse=reverse,
cu_seqlens=cu_seqlens,
scale=scale,
head_first=head_first,
output_dtype=output_dtype,
)
elif len(s.shape) == 4:
return chunk_global_cumsum_vector(
s=s,
reverse=reverse,
cu_seqlens=cu_seqlens,
scale=scale,
head_first=head_first,
output_dtype=output_dtype,
)
else:
raise ValueError(
f"Unsupported input shape {s.shape}, "
f"which should be [B, T, H]/[B, T, H, D] if `head_first=False` "
f"or [B, H, T]/[B, H, T, D] otherwise",
)
@input_guard
def chunk_local_cumsum(
g: torch.Tensor,
chunk_size: int,
reverse: bool = False,
scale: float = None,
cu_seqlens: torch.Tensor | None = None,
head_first: bool = False,
output_dtype: torch.dtype | None = torch.float,
**kwargs,
) -> torch.Tensor:
if cu_seqlens is not None:
assert g.shape[0] == 1, "Only batch size 1 is supported when cu_seqlens are provided"
if len(g.shape) == 3:
return chunk_local_cumsum_scalar(
g=g,
chunk_size=chunk_size,
reverse=reverse,
scale=scale,
cu_seqlens=cu_seqlens,
head_first=head_first,
output_dtype=output_dtype,
)
elif len(g.shape) == 4:
return chunk_local_cumsum_vector(
g=g,
chunk_size=chunk_size,
reverse=reverse,
scale=scale,
cu_seqlens=cu_seqlens,
head_first=head_first,
output_dtype=output_dtype,
)
else:
raise ValueError(
f"Unsupported input shape {g.shape}, "
f"which should be (B, T, H, D) if `head_first=False` "
f"or (B, H, T, D) otherwise",
)