| | import math |
| |
|
| | import torch |
| | from einops import rearrange, repeat |
| |
|
| | from padding import pad_input, unpad_input |
| |
|
| |
|
| | 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 |
| | ) |
| | elif mode == "third": |
| | lengths = torch.randint(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, |
| | ): |
| | """ |
| | Arguments: |
| | q: (batch_size, seqlen_q, nheads, d) |
| | k: (batch_size, seqlen_k, nheads_k, d) |
| | v: (batch_size, seqlen_k, nheads_k, d_v) |
| | query_padding_mask: (batch_size, seqlen), bool |
| | key_padding_mask: (batch_size, seqlen), bool |
| | """ |
| | 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, *rest = 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=(-1, -1), |
| | 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] < 0: |
| | 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 |
| | return torch.logical_or( |
| | col_idx > torch.minimum(row_idx + sk - sq + window_size[1], sk), |
| | 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=(-1, -1), |
| | attention_chunk=0, |
| | sink_token_length=0, |
| | softcap=0.0, |
| | upcast=True, |
| | reorder_ops=False, |
| | intermediate_dtype=None, |
| | ): |
| | """ |
| | Arguments: |
| | q: (batch_size, seqlen_q, nheads, head_dim) |
| | k: (batch_size, seqlen_k, nheads, head_dim) |
| | v: (batch_size, seqlen_k, nheads, head_dim_v) |
| | qv: (batch_size, seqlen_q, nheads, head_dim_v) |
| | query_padding_mask: (batch_size, seqlen_q) |
| | key_padding_mask: (batch_size, seqlen_k) |
| | attn_bias: broadcastable to (batch_size, nheads, seqlen_q, seqlen_k) |
| | dropout_p: float |
| | dropout_mask: (batch_size, nheads, seqlen_q, seqlen_k) |
| | causal: whether to apply causal masking |
| | upcast: whether to cast all inputs to fp32, do all computation in fp32, then cast |
| | output back to fp16/bf16. |
| | reorder_ops: whether to change the order of operations (scaling k instead of scaling k, etc.) |
| | without changing the math. This is to estimate the numerical error from operation |
| | reordering. |
| | Output: |
| | output: (batch_size, seqlen_q, nheads, head_dim_v) |
| | attention: (batch_size, nheads, seqlen_q, seqlen_k), softmax after dropout |
| | """ |
| | 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] >= 0 or window_size[1] >= 0: |
| | 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 |
| | attention = torch.softmax(scores, dim=-1).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) |
| |
|