# Copyright (c) 2023-2025, Songlin Yang, Yu Zhang import warnings import torch from fla.modules.l2norm import l2norm_bwd, l2norm_fwd from fla.ops.common.chunk_delta_h import chunk_gated_delta_rule_bwd_dhu, chunk_gated_delta_rule_fwd_h from fla.ops.common.chunk_o import chunk_bwd_dqkwg, chunk_bwd_dv_local, chunk_fwd_o from fla.ops.delta_rule.wy_fast import prepare_wy_repr_bwd, prepare_wy_repr_fwd, recompute_w_u_fwd from fla.utils import autocast_custom_bwd, autocast_custom_fwd, input_guard def chunk_delta_rule_fwd( q: torch.Tensor, k: torch.Tensor, v: torch.Tensor, beta: torch.Tensor, scale: float, initial_state: torch.Tensor, output_final_state: bool, cu_seqlens: torch.LongTensor | None = None, ): # obtain WY representation. u is actually the new v. w, u, A = prepare_wy_repr_fwd( k=k, v=v, beta=beta, cu_seqlens=cu_seqlens, ) h, v_new, final_state = chunk_gated_delta_rule_fwd_h( k=k, w=w, u=u, g=None, initial_state=initial_state, output_final_state=output_final_state, cu_seqlens=cu_seqlens, ) o = chunk_fwd_o( q=q, k=k, v=v_new, h=h, g=None, scale=scale, cu_seqlens=cu_seqlens, ) return o, A, final_state def chunk_delta_rule_bwd( q: torch.Tensor, k: torch.Tensor, v: torch.Tensor, beta: torch.Tensor, A: torch.Tensor, scale: float, initial_state: torch.Tensor, do: torch.Tensor, dht: torch.Tensor, cu_seqlens: torch.LongTensor | None = None, ): w, u = recompute_w_u_fwd( k=k, v=v, beta=beta, A=A, cu_seqlens=cu_seqlens, ) h, v_new, _ = chunk_gated_delta_rule_fwd_h( k=k, w=w, u=u, g=None, initial_state=initial_state, output_final_state=False, cu_seqlens=cu_seqlens, ) dv = chunk_bwd_dv_local( q=q, k=k, do=do, g=None, scale=scale, cu_seqlens=cu_seqlens, ) dh, dh0, dv = chunk_gated_delta_rule_bwd_dhu( q=q, k=k, w=w, g=None, h0=initial_state, dht=dht, do=do, dv=dv, scale=scale, cu_seqlens=cu_seqlens, ) dq, dk, dw, _ = chunk_bwd_dqkwg( q=q, k=k, v=v_new, h=h, w=w, dv=dv, do=do, dh=dh, g=None, scale=scale, cu_seqlens=cu_seqlens, ) dk2, dv, db = prepare_wy_repr_bwd( k=k, v=v, beta=beta, A=A, dw=dw, du=dv, cu_seqlens=cu_seqlens, ) dk.add_(dk2) return dq, dk, dv, db, dh0 class ChunkDeltaRuleFunction(torch.autograd.Function): @staticmethod @input_guard @autocast_custom_fwd def forward( ctx, q: torch.Tensor, k: torch.Tensor, v: torch.Tensor, beta: torch.Tensor, scale: float, initial_state: torch.Tensor, output_final_state: bool, use_qk_l2norm_in_kernel: bool = False, cu_seqlens: torch.LongTensor | None = None, ): if use_qk_l2norm_in_kernel: q, q_rstd = l2norm_fwd(q) k, k_rstd = l2norm_fwd(k) else: q_rstd, k_rstd = None, None o, A, final_state = chunk_delta_rule_fwd( q=q, k=k, v=v, beta=beta, scale=scale, initial_state=initial_state, output_final_state=output_final_state, cu_seqlens=cu_seqlens, ) ctx.save_for_backward(q, q_rstd, k, k_rstd, v, beta, A, initial_state) ctx.scale = scale ctx.cu_seqlens = cu_seqlens ctx.use_qk_l2norm_in_kernel = use_qk_l2norm_in_kernel return o.to(q.dtype), final_state @staticmethod @input_guard @autocast_custom_bwd def backward( ctx, do: torch.Tensor, dht: torch.Tensor, ): q, q_rstd, k, k_rstd, v, beta, A, initial_state = ctx.saved_tensors dq, dk, dv, db, dh0 = chunk_delta_rule_bwd( q=q, k=k, v=v, beta=beta, A=A, scale=ctx.scale, initial_state=initial_state, do=do, dht=dht, cu_seqlens=ctx.cu_seqlens, ) if ctx.use_qk_l2norm_in_kernel: dq = l2norm_bwd(q, q_rstd, dq) dk = l2norm_bwd(k, k_rstd, dk) return dq.to(q.dtype), dk.to(k.dtype), dv.to(v.dtype), db.to(beta.dtype), None, dh0, None, None, None, None, None @torch.compiler.disable def chunk_delta_rule( q: torch.Tensor, k: torch.Tensor, v: torch.Tensor, beta: torch.Tensor, scale: float = None, initial_state: torch.Tensor = None, output_final_state: bool = False, use_qk_l2norm_in_kernel: bool = False, cu_seqlens: torch.LongTensor | None = None, head_first: bool = False, ): r""" Args: q (torch.Tensor): queries of shape `[B, T, H, K]`. k (torch.Tensor): keys of shape `[B, T, H, K]`. v (torch.Tensor): values of shape `[B, T, H, V]`. beta (torch.Tensor): betas of shape `[B, T, H]`. scale (Optional[float]): Scale factor for the RetNet attention scores. If not provided, it will default to `1 / sqrt(K)`. Default: `None`. initial_state (Optional[torch.Tensor]): Initial state of shape `[N, H, K, V]` for `N` input sequences. For equal-length input sequences, `N` equals the batch size `B`. Default: `None`. output_final_state (Optional[bool]): Whether to output the final state of shape `[N, H, K, V]`. Default: `False`. use_qk_l2norm_in_kernel (Optional[bool]): Whether to use qk l2norm within the kernel for saving GPU memory. Default: `False`. cu_seqlens (torch.LongTensor): Cumulative sequence lengths of shape `[N+1]` used for variable-length training, consistent with the FlashAttention API. head_first (Optional[bool]): Whether the inputs are in the head-first format. Default: `False`. This argument has been deprecated. Returns: o (torch.Tensor): Outputs of shape `[B, T, H, V]`. final_state (torch.Tensor): Final state of shape `[N, H, K, V]` if `output_final_state=True` else `None`. Examples:: >>> import torch >>> import torch.nn.functional as F >>> from einops import rearrange >>> from fla.ops.delta_rule import chunk_delta_rule # inputs with equal lengths >>> B, T, H, K, V = 4, 2048, 4, 512, 512 >>> q = torch.randn(B, T, H, K, dtype=torch.bfloat16, device='cuda') >>> k = F.normalize(torch.randn(B, T, H, K, dtype=torch.bfloat16, device='cuda'), p=2, dim=-1) >>> v = torch.randn(B, T, H, V, dtype=torch.bfloat16, device='cuda') >>> beta = torch.rand(B, T, H, dtype=torch.bfloat16, device='cuda').sigmoid() >>> h0 = torch.randn(B, H, K, V, dtype=torch.bfloat16, device='cuda') >>> o, ht = chunk_delta_rule( q, k, v, beta, initial_state=h0, output_final_state=True ) # for variable-length inputs, the batch size `B` is expected to be 1 and `cu_seqlens` is required >>> q, k, v, beta = map(lambda x: rearrange(x, 'b t ... -> 1 (b t) ...'), (q, k, v, beta)) # for a batch with 4 sequences, `cu_seqlens` with 5 start/end positions are expected >>> cu_seqlens = q.new_tensor([0, 2048, 4096, 6144, 8192], dtype=torch.long) >>> o, ht = chunk_delta_rule( q, k, v, beta, initial_state=h0, output_final_state=True, cu_seqlens=cu_seqlens ) """ assert q.dtype == k.dtype == v.dtype assert q.dtype != torch.float32, "ChunkDeltaRuleFunction does not support float32. Please use bfloat16." assert len(beta.shape) == 3, "beta must be of shape (batch size, num of head, seq len)." if head_first: raise DeprecationWarning( "head_first is deprecated and will be removed in a future version. " "Please use head_first=False for now instead.", ) if not head_first and q.shape[1] < q.shape[2]: warnings.warn( f"Input tensor shape suggests potential format mismatch: seq_len ({q.shape[1]}) < num_heads ({q.shape[2]}). " "This may indicate the inputs were passed in head-first format [B, H, T, ...] " "when head_first=False was specified. " "Please verify your input tensor format matches the expected shape [B, T, H, ...].", ) if cu_seqlens is not None: if q.shape[0] != 1: raise ValueError( f"The batch size is expected to be 1 rather than {q.shape[0]} when using `cu_seqlens`." f"Please flatten variable-length inputs before processing.", ) if initial_state is not None and initial_state.shape[0] != len(cu_seqlens) - 1: raise ValueError( f"The number of initial states is expected to be equal to the number of input sequences, " f"i.e., {len(cu_seqlens) - 1} rather than {initial_state.shape[0]}.", ) scale = k.shape[-1] ** -0.5 if scale is None else scale o, final_state = ChunkDeltaRuleFunction.apply( q, k, v, beta, scale, initial_state, output_final_state, use_qk_l2norm_in_kernel, cu_seqlens, ) return o, final_state