| 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: |
| |
| 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): |
| assert mode in ["full", "random", "third"] |
| if mode == "full": |
| lengths = torch.full((batch_size, 1), max_seqlen, device=device, dtype=torch.int32) |
| elif mode == "random": |
| lengths = torch.randint( |
| max(0 if zero_lengths else 1, max_seqlen - 20), |
| max_seqlen + 1, |
| (batch_size, 1), |
| device=device, |
| ) |
| else: |
| lengths = torch.randint( |
| max(0 if zero_lengths else 1, 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, |
| ): |
| 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 local_mask is not None: |
| scores.masked_fill_(local_mask, float("-inf")) |
| if attn_bias is not None: |
| scores = scores + attn_bias |
| 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 |
| ) |
| 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) |
| 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 |
|
|