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import math
from contextlib import nullcontext
from functools import wraps
from typing import Optional
import torch
import torch.nn.functional as F
from einops import rearrange, repeat
from torch._guards import active_fake_mode
from torch._subclasses.fake_tensor import FakeTensorMode
class IndexFirstAxis(torch.autograd.Function):
@staticmethod
def forward(ctx, input, indices):
ctx.save_for_backward(indices)
assert input.ndim >= 2
ctx.first_axis_dim, other_shape = input.shape[0], input.shape[1:]
second_dim = other_shape.numel()
return torch.gather(
rearrange(input, "b ... -> b (...)"),
0,
repeat(indices, "z -> z d", d=second_dim),
).reshape(-1, *other_shape)
@staticmethod
def backward(ctx, grad_output):
(indices,) = ctx.saved_tensors
assert grad_output.ndim >= 2
other_shape = grad_output.shape[1:]
grad_output = rearrange(grad_output, "b ... -> b (...)")
grad_input = torch.zeros(
[ctx.first_axis_dim, grad_output.shape[1]],
device=grad_output.device,
dtype=grad_output.dtype,
)
grad_input.scatter_(0, repeat(indices, "z -> z d", d=grad_output.shape[1]), grad_output)
return grad_input.reshape(ctx.first_axis_dim, *other_shape), None
index_first_axis = IndexFirstAxis.apply
class IndexPutFirstAxis(torch.autograd.Function):
@staticmethod
def forward(ctx, values, indices, first_axis_dim):
ctx.save_for_backward(indices)
assert indices.ndim == 1
assert values.ndim >= 2
output = torch.zeros(
first_axis_dim, *values.shape[1:], device=values.device, dtype=values.dtype
)
output[indices] = values
return output
@staticmethod
def backward(ctx, grad_output):
(indices,) = ctx.saved_tensors
grad_values = grad_output[indices]
return grad_values, None, None
index_put_first_axis = IndexPutFirstAxis.apply
def unpad_input(hidden_states, attention_mask, unused_mask=None):
all_masks = (attention_mask + unused_mask) if unused_mask is not None else attention_mask
seqlens_in_batch = all_masks.sum(dim=-1, dtype=torch.int32)
used_seqlens_in_batch = attention_mask.sum(dim=-1, dtype=torch.int32)
in_fake_mode = active_fake_mode() is not None
if not in_fake_mode:
indices = torch.nonzero(all_masks.flatten(), as_tuple=False).flatten()
max_seqlen_in_batch = seqlens_in_batch.max().item()
else:
# torch.nonzero and .item() are not supported in FakeTensorMode
batch_size, seqlen = attention_mask.shape
indices = torch.arange(batch_size * seqlen, device=hidden_states.device)
max_seqlen_in_batch = seqlen
cu_seqlens = F.pad(torch.cumsum(seqlens_in_batch, dim=0, dtype=torch.int32), (1, 0))
return (
index_first_axis(rearrange(hidden_states, "b s ... -> (b s) ..."), indices),
indices,
cu_seqlens,
max_seqlen_in_batch,
used_seqlens_in_batch,
)
def pad_input(hidden_states, indices, batch, seqlen):
output = index_put_first_axis(hidden_states, indices, batch * seqlen)
return rearrange(output, "(b s) ... -> b s ...", b=batch)
def generate_random_padding_mask(
max_seqlen, batch_size, device, mode="random", zero_lengths=False, min_seqlen=None
):
assert mode in ["full", "random", "third"]
min_seqlen = min_seqlen if min_seqlen is not None else 0 if zero_lengths else 1
if mode == "full":
lengths = torch.full((batch_size, 1), max_seqlen, device=device, dtype=torch.int32)
elif mode == "random":
lengths = torch.randint(
max(min_seqlen, max_seqlen - 20),
max_seqlen + 1,
(batch_size, 1),
device=device,
)
else:
lengths = torch.randint(
max(min_seqlen, max_seqlen // 3),
max_seqlen + 1,
(batch_size, 1),
device=device,
)
if zero_lengths:
for i in range(batch_size):
if i % 5 == 0:
lengths[i] = 0
lengths[-1] = 0
padding_mask = (
repeat(torch.arange(max_seqlen, device=device), "s -> b s", b=batch_size) < lengths
)
return padding_mask
def generate_qkv(
q,
k,
v,
query_padding_mask=None,
key_padding_mask=None,
qv=None,
kvpacked=False,
qkvpacked=False,
query_unused_mask=None,
key_unused_mask=None,
):
assert not (kvpacked and qkvpacked)
batch_size, seqlen_q, nheads, d = q.shape
d_v = v.shape[-1]
_, seqlen_k, nheads_k, _ = k.shape
assert k.shape == (batch_size, seqlen_k, nheads_k, d)
assert v.shape == (batch_size, seqlen_k, nheads_k, d_v)
if query_unused_mask is not None or key_unused_mask is not None:
assert not kvpacked
assert not qkvpacked
if query_padding_mask is not None:
q_unpad, indices_q, cu_seqlens_q, max_seqlen_q, seqused_q = unpad_input(
q, query_padding_mask, query_unused_mask
)
output_pad_fn = lambda output_unpad: pad_input(
output_unpad, indices_q, batch_size, seqlen_q
)
qv_unpad = rearrange(qv, "b s ... -> (b s) ...")[indices_q] if qv is not None else None
else:
q_unpad = rearrange(q, "b s h d -> (b s) h d")
cu_seqlens_q = torch.arange(
0, (batch_size + 1) * seqlen_q, step=seqlen_q, dtype=torch.int32, device=q_unpad.device
)
seqused_q = None
max_seqlen_q = seqlen_q
output_pad_fn = lambda output_unpad: rearrange(
output_unpad, "(b s) h d -> b s h d", b=batch_size
)
qv_unpad = rearrange(qv, "b s ... -> (b s) ...") if qv is not None else None
if key_padding_mask is not None:
k_unpad, indices_k, cu_seqlens_k, max_seqlen_k, seqused_k = unpad_input(
k, key_padding_mask, key_unused_mask
)
v_unpad, *_ = unpad_input(v, key_padding_mask, key_unused_mask)
else:
k_unpad = rearrange(k, "b s h d -> (b s) h d")
v_unpad = rearrange(v, "b s h d -> (b s) h d")
cu_seqlens_k = torch.arange(
0, (batch_size + 1) * seqlen_k, step=seqlen_k, dtype=torch.int32, device=k_unpad.device
)
seqused_k = None
max_seqlen_k = seqlen_k
if qkvpacked:
assert (query_padding_mask == key_padding_mask).all()
assert nheads == nheads_k
qkv_unpad = torch.stack([q_unpad, k_unpad, v_unpad], dim=1)
qkv = torch.stack([q, k, v], dim=2)
if query_padding_mask is not None:
dqkv_pad_fn = lambda dqkv_unpad: pad_input(dqkv_unpad, indices_q, batch_size, seqlen_q)
else:
dqkv_pad_fn = lambda dqkv_unpad: rearrange(
dqkv_unpad, "(b s) t h d -> b s t h d", b=batch_size
)
return (
qkv_unpad.detach().requires_grad_(),
cu_seqlens_q,
max_seqlen_q,
qkv.detach().requires_grad_(),
output_pad_fn,
dqkv_pad_fn,
)
elif kvpacked:
kv_unpad = torch.stack([k_unpad, v_unpad], dim=1)
kv = torch.stack([k, v], dim=2)
dq_pad_fn = output_pad_fn
if key_padding_mask is not None:
dkv_pad_fn = lambda dkv_unpad: pad_input(dkv_unpad, indices_k, batch_size, seqlen_k)
else:
dkv_pad_fn = lambda dkv_unpad: rearrange(
dkv_unpad, "(b s) t h d -> b s t h d", b=batch_size
)
return (
q_unpad.detach().requires_grad_(),
kv_unpad.detach().requires_grad_(),
cu_seqlens_q,
cu_seqlens_k,
max_seqlen_q,
max_seqlen_k,
q.detach().requires_grad_(),
kv.detach().requires_grad_(),
output_pad_fn,
dq_pad_fn,
dkv_pad_fn,
)
else:
dq_pad_fn = output_pad_fn
if key_padding_mask is not None:
dk_pad_fn = lambda dk_unpad: pad_input(dk_unpad, indices_k, batch_size, seqlen_k)
else:
dk_pad_fn = lambda dk_unpad: rearrange(dk_unpad, "(b s) h d -> b s h d", b=batch_size)
return (
q_unpad.detach().requires_grad_(),
k_unpad.detach().requires_grad_(),
v_unpad.detach().requires_grad_(),
qv_unpad.detach() if qv is not None else None,
cu_seqlens_q,
cu_seqlens_k,
seqused_q,
seqused_k,
max_seqlen_q,
max_seqlen_k,
q.detach().requires_grad_(),
k.detach().requires_grad_(),
v.detach().requires_grad_(),
qv.detach() if qv is not None else None,
output_pad_fn,
dq_pad_fn,
dk_pad_fn,
)
def construct_local_mask(
seqlen_q,
seqlen_k,
window_size=(None, None),
sink_token_length=0,
query_padding_mask=None,
key_padding_mask=None,
key_leftpad=None,
device=None,
):
row_idx = rearrange(torch.arange(seqlen_q, device=device, dtype=torch.long), "s -> s 1")
col_idx = torch.arange(seqlen_k, device=device, dtype=torch.long)
if key_leftpad is not None:
key_leftpad = rearrange(key_leftpad, "b -> b 1 1 1")
col_idx = repeat(col_idx, "s -> b 1 1 s", b=key_leftpad.shape[0])
col_idx = torch.where(col_idx >= key_leftpad, col_idx - key_leftpad, 2**32)
sk = (
seqlen_k
if key_padding_mask is None
else rearrange(key_padding_mask.sum(-1), "b -> b 1 1 1")
)
sq = (
seqlen_q
if query_padding_mask is None
else rearrange(query_padding_mask.sum(-1), "b -> b 1 1 1")
)
if window_size[0] is None:
return col_idx > row_idx + sk - sq + window_size[1]
else:
sk = torch.full_like(col_idx, seqlen_k) if key_padding_mask is None else sk
if window_size[1] is None:
local_mask_left = col_idx > sk
else:
local_mask_left = col_idx > torch.minimum(row_idx + sk - sq + window_size[1], sk)
return torch.logical_or(
local_mask_left,
torch.logical_and(
col_idx < row_idx + sk - sq - window_size[0], col_idx >= sink_token_length
),
)
def construct_chunk_mask(
seqlen_q,
seqlen_k,
attention_chunk,
query_padding_mask=None,
key_padding_mask=None,
key_leftpad=None,
device=None,
):
row_idx = rearrange(torch.arange(seqlen_q, device=device, dtype=torch.long), "s -> s 1")
col_idx = torch.arange(seqlen_k, device=device, dtype=torch.long)
if key_leftpad is not None:
key_leftpad = rearrange(key_leftpad, "b -> b 1 1 1")
col_idx = repeat(col_idx, "s -> b 1 1 s", b=key_leftpad.shape[0])
col_idx = torch.where(col_idx >= key_leftpad, col_idx - key_leftpad, 2**32)
sk = (
seqlen_k
if key_padding_mask is None
else rearrange(key_padding_mask.sum(-1), "b -> b 1 1 1")
)
sq = (
seqlen_q
if query_padding_mask is None
else rearrange(query_padding_mask.sum(-1), "b -> b 1 1 1")
)
sk = torch.full_like(col_idx, seqlen_k) if key_padding_mask is None else sk
col_limit_left_chunk = row_idx + sk - sq - (row_idx + sk - sq) % attention_chunk
return torch.logical_or(
col_idx < col_limit_left_chunk, col_idx >= col_limit_left_chunk + attention_chunk
)
def attention_ref(
q,
k,
v,
query_padding_mask=None,
key_padding_mask=None,
key_leftpad=None,
attn_bias=None,
dropout_p=0.0,
dropout_mask=None,
causal=False,
qv=None,
q_descale=None,
k_descale=None,
v_descale=None,
window_size=(None, None),
attention_chunk=0,
sink_token_length=0,
learnable_sink: Optional[torch.Tensor] = None,
softcap=0.0,
upcast=True,
reorder_ops=False,
intermediate_dtype=None,
return_lse=False,
gather_kv_indices=None,
):
if causal:
window_size = (window_size[0], 0)
dtype_og = q.dtype
if upcast:
q, k, v = q.float(), k.float(), v.float()
qv = qv.float() if qv is not None else None
if q_descale is not None:
q_descale = repeat(q_descale, "b h -> b 1 (h g) 1", g=q.shape[2] // k.shape[2])
q = (q.float() * q_descale).to(q.dtype)
qv = (qv.float() * q_descale).to(qv.dtype) if qv is not None else None
if k_descale is not None:
k = (k.float() * rearrange(k_descale, "b h -> b 1 h 1")).to(dtype=k.dtype)
if v_descale is not None:
v = (v.float() * rearrange(v_descale, "b h -> b 1 h 1")).to(dtype=v.dtype)
seqlen_q, seqlen_k = q.shape[1], k.shape[1]
k = repeat(k, "b s h d -> b s (h g) d", g=q.shape[2] // k.shape[2])
v = repeat(v, "b s h d -> b s (h g) d", g=q.shape[2] // v.shape[2])
d = q.shape[-1]
dv = v.shape[-1]
softmax_scale = 1.0 / math.sqrt(d if qv is None else d + dv)
if not reorder_ops:
scores = torch.einsum("bthd,bshd->bhts", q * softmax_scale, k)
else:
scores = torch.einsum("bthd,bshd->bhts", q, k * softmax_scale)
if qv is not None:
scores = scores + torch.einsum("bthd,bshd->bhts", qv * softmax_scale, v)
if softcap > 0:
scores = torch.tanh(scores / softcap) * softcap
if key_padding_mask is not None:
scores.masked_fill_(rearrange(~key_padding_mask, "b s -> b 1 1 s"), float("-inf"))
local_mask = None
if window_size[0] is not None or window_size[1] is not None:
local_mask = construct_local_mask(
seqlen_q,
seqlen_k,
window_size,
sink_token_length,
query_padding_mask,
key_padding_mask,
key_leftpad=key_leftpad,
device=q.device,
)
if attention_chunk > 0:
chunk_mask = construct_chunk_mask(
seqlen_q,
seqlen_k,
attention_chunk,
query_padding_mask,
key_padding_mask,
key_leftpad=key_leftpad,
device=q.device,
)
local_mask = (
torch.logical_or(local_mask, chunk_mask) if local_mask is not None else chunk_mask
)
if gather_kv_indices is not None:
batch = q.shape[0]
topk_len = gather_kv_indices.shape[2]
if topk_len < seqlen_k:
topk_index_mask = torch.full(
(batch, seqlen_q, seqlen_k), False, device="cuda"
).scatter_(-1, gather_kv_indices, True)
scores.masked_fill_(rearrange(~topk_index_mask, "b t s -> b 1 t s"), float("-inf"))
if local_mask is not None:
scores.masked_fill_(local_mask, float("-inf"))
if attn_bias is not None:
scores = scores + attn_bias
# After all masks are applied, before softmax:
# scores shape: [b, h, t, s]
lse = torch.logsumexp(scores, dim=-1) # [b, h, t]
if learnable_sink is None:
attention = torch.softmax(scores, dim=-1).to(v.dtype)
else:
scores_fp32 = scores.to(torch.float32)
logits_max = torch.amax(scores_fp32, dim=-1, keepdim=True)
learnable_sink = rearrange(learnable_sink, "h -> h 1 1")
logits_or_sinks_max = torch.maximum(learnable_sink, logits_max)
unnormalized_scores = torch.exp(scores_fp32 - logits_or_sinks_max)
normalizer = unnormalized_scores.sum(dim=-1, keepdim=True) + torch.exp(
learnable_sink - logits_or_sinks_max
)
# LSE with sink: log(Z) = log(normalizer) + max
lse = (torch.log(normalizer.squeeze(-1)) + logits_or_sinks_max.squeeze(-1)).to(dtype_og)
attention = (unnormalized_scores / normalizer).to(v.dtype)
if query_padding_mask is not None:
attention = attention.masked_fill(rearrange(~query_padding_mask, "b s -> b 1 s 1"), 0.0)
if key_padding_mask is not None:
attention = attention.masked_fill(rearrange(~key_padding_mask, "b s -> b 1 1 s"), 0.0)
if local_mask is not None:
attention = attention.masked_fill(torch.all(local_mask, dim=-1, keepdim=True), 0.0)
dropout_scaling = 1.0 / (1 - dropout_p)
if dropout_mask is not None:
attention_drop = attention.masked_fill(~dropout_mask, 0.0)
else:
attention_drop = attention
if intermediate_dtype is not None:
attention_drop = attention_drop.to(intermediate_dtype).to(attention_drop.dtype)
output = torch.einsum("bhts,bshd->bthd", attention_drop, v * dropout_scaling)
if query_padding_mask is not None:
output.masked_fill_(rearrange(~query_padding_mask, "b s -> b s 1 1"), 0.0)
if return_lse:
return output.to(dtype_og), attention.to(dtype_og), lse.to(dtype_og)
return output.to(dtype=dtype_og), attention.to(dtype=dtype_og)
def maybe_fake_tensor_mode(fake: bool = True):
"""
One way to populate/pre-compile cache is to use torch fake tensor mode,
which does not allocate actual GPU tensors but retains tensor shape/dtype
metadata for cute.compile.
"""
def decorator(fn):
@wraps(fn)
def wrapper(*args, **kwargs):
with FakeTensorMode() if fake else nullcontext():
return fn(*args, **kwargs)
return wrapper
return decorator
def is_fake_mode() -> bool:
return active_fake_mode() is not None