# Copyright (c) 2023-2025, Songlin Yang, Yu Zhang import torch import triton import triton.language as tl from fla.ops.utils import prepare_chunk_offsets from fla.ops.utils.op import exp from fla.utils import autotune_cache_kwargs @triton.heuristics({ 'USE_INITIAL_STATE': lambda args: args['h_init'] is not None, 'STORE_FINAL_STATE': lambda args: args['h_final'] is not None, 'IS_VARLEN': lambda args: args['cu_seqlens'] is not None, }) @triton.autotune( configs=[ triton.Config({}, num_warps=num_warps, num_stages=num_stages) for num_warps in [1, 2, 4, 8] for num_stages in [2, 3, 4] ], key=['BT'], **autotune_cache_kwargs, ) @triton.jit(do_not_specialize=['T']) def chunk_mesa_net_fwd_kernel_h( k, v, beta, g, h, h_kv, h_init, h_kv_init, h_final, h_kv_final, cu_seqlens, split_offsets, T, H: tl.constexpr, K: tl.constexpr, V: tl.constexpr, BT: tl.constexpr, BS: tl.constexpr, BK: tl.constexpr, BV: tl.constexpr, USE_INITIAL_STATE: tl.constexpr, STORE_FINAL_STATE: tl.constexpr, IS_VARLEN: tl.constexpr, ): i_k, i_v, i_nh = tl.program_id(0), tl.program_id(1), tl.program_id(2) 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) T = eos - bos NT = tl.cdiv(T, BT) NS = tl.cdiv(T, BS) boh = tl.load(split_offsets + i_n).to(tl.int32) else: bos, eos = i_n * T, i_n * T + T NT = tl.cdiv(T, BT) NS = tl.cdiv(T, BS) boh = i_n * NS # [BK, BV] b_h = tl.zeros([BK, BV], dtype=tl.float32) b_h_kv = tl.zeros([BK, BV], dtype=tl.float32) if USE_INITIAL_STATE: p_h0 = tl.make_block_ptr(h_init + i_nh * K*V, (K, V), (V, 1), (i_k * BK, i_v * BV), (BK, BV), (1, 0)) b_h = tl.load(p_h0, boundary_check=(0, 1)).to(tl.float32) p_h_kv0 = tl.make_block_ptr(h_kv_init + i_nh * K*V, (K, V), (V, 1), (i_k * BK, i_v * BV), (BK, BV), (1, 0)) b_h_kv = tl.load(p_h_kv0, boundary_check=(0, 1)).to(tl.float32) for i_t in range(NT): i_s = i_t // (BS // BT) p_k = tl.make_block_ptr(k + (bos*H + i_h) * K, (T, K), (H*K, 1), (i_t * BT, i_k * BK), (BT, BK), (1, 0)) p_k2 = tl.make_block_ptr(k + (bos*H + i_h) * V, (T, V), (H*V, 1), (i_t * BT, i_v * BV), (BT, BV), (1, 0)) p_v = tl.make_block_ptr(v + (bos*H + i_h) * V, (T, V), (H*V, 1), (i_t * BT, i_v * BV), (BT, BV), (1, 0)) p_beta = tl.make_block_ptr(beta + (bos*H + i_h), (T,), (H,), (i_t * BT,), (BT, ), (0,)) b_beta = tl.load(p_beta, boundary_check=(0,)) o_h = ((boh + i_s) * H + i_h).to(tl.int64) * K*V p_h = tl.make_block_ptr(h + o_h, (K, V), (V, 1), (i_k * BK, i_v * BV), (BK, BV), (1, 0)) p_h_kv = tl.make_block_ptr(h_kv + o_h, (K, V), (V, 1), (i_k * BK, i_v * BV), (BK, BV), (1, 0)) if i_t % (BS // BT) == 0: tl.store(p_h, b_h.to(p_h.dtype.element_ty), boundary_check=(0, 1)) tl.store(p_h_kv, b_h_kv.to(p_h_kv.dtype.element_ty), boundary_check=(0, 1)) # [BK, BT] b_k = tl.load(p_k, boundary_check=(0, 1)) b_k2 = tl.load(p_k2, boundary_check=(0, 1)) # [BT, BV] b_v = tl.load(p_v, boundary_check=(0, 1)) last_idx = min((i_t + 1) * BT, T) - 1 # scalar decay b_g_last = tl.load(g + bos * H + last_idx * H + i_h) p_g = g + bos*H + (i_t * BT + tl.arange(0, BT)) * H + i_h b_h *= exp(b_g_last) b_h_kv *= exp(b_g_last) b_g = tl.load(p_g, mask=(i_t * BT + tl.arange(0, BT) < T), other=0.) b_k_decay = ((b_k * exp(b_g_last - b_g)[:, None]) * b_beta[:, None]).to(b_k2.dtype) b_h += tl.dot(tl.trans(b_k_decay), b_k2) b_h_kv += tl.dot(tl.trans(b_k_decay), b_v.to(b_k2.dtype)) if STORE_FINAL_STATE: p_ht = tl.make_block_ptr(h_final + i_nh * K*V, (K, V), (V, 1), (i_k * BK, i_v * BV), (BK, BV), (1, 0)) tl.store(p_ht, b_h.to(p_ht.dtype.element_ty), boundary_check=(0, 1)) p_h_kv_final = tl.make_block_ptr(h_kv_final + i_nh * K*V, (K, V), (V, 1), (i_k * BK, i_v * BV), (BK, BV), (1, 0)) tl.store(p_h_kv_final, b_h_kv.to(p_h_kv_final.dtype.element_ty), boundary_check=(0, 1)) def chunk_mesa_fwd_h( k: torch.Tensor, v: torch.Tensor, g: torch.Tensor, beta: torch.Tensor, h_init: torch.Tensor, h_kv_init: torch.Tensor, output_final_state: bool, cu_seqlens: torch.Tensor | None = None, chunk_size: int = 64, split_size: int | None = None, states_in_fp32: bool = False, ) -> tuple[torch.Tensor, torch.Tensor]: B, T, H, K, V = *k.shape, v.shape[-1] assert K == V, "K must be equal to V for now" BT = chunk_size BS = BT if split_size is None else split_size assert BS % BT == 0, f"The `split_size` (got {BS}) must be a multiple of `chunk_size` {BT}" # N: the actual number of sequences in the batch with either equal or variable lengths if cu_seqlens is None: N, NS, split_offsets = B, triton.cdiv(T, BS), None else: split_offsets = prepare_chunk_offsets(cu_seqlens, BS) N, NS = len(cu_seqlens) - 1, split_offsets[-1].item() h = k.new_empty(B, NS, H, K, V, dtype=k.dtype if not states_in_fp32 else torch.float) h_kv = k.new_empty(B, NS, H, K, V, dtype=k.dtype if not states_in_fp32 else torch.float) h_final = k.new_empty(N, H, K, V, dtype=torch.float) if output_final_state else None h_kv_final = k.new_empty(N, H, K, V, dtype=torch.float) def grid(meta): return (triton.cdiv(K, 64), triton.cdiv(V, 64), N * H) chunk_mesa_net_fwd_kernel_h[grid]( k=k, v=v, beta=beta, g=g, h=h, h_kv=h_kv, h_init=h_init, h_kv_init=h_kv_init, h_final=h_final, h_kv_final=h_kv_final, cu_seqlens=cu_seqlens, split_offsets=split_offsets, T=T, H=H, K=K, V=V, BT=BT, BS=BS, BK=64, BV=64, ) return h, h_kv, h_final, h_kv_final