import torch import triton import triton.language as tl from fla.ops.utils import prepare_chunk_indices @triton.heuristics({ "USE_G": lambda args: args['g_cumsum'] is not None, "IS_VARLEN": lambda args: args['offsets'] is not None, }) @triton.jit(do_not_specialize=['T']) def intra_chunk_preprocess_fwd_kernel( q, k, v, w, beta, g_cumsum, o, A, L, M, w2, q_new, k_new, scale, indices, # varlen helper offsets, # varlen helper T, H: tl.constexpr, G: tl.constexpr, HQ: tl.constexpr, K: tl.constexpr, V: tl.constexpr, BK: tl.constexpr, BV: tl.constexpr, BT: tl.constexpr, IS_VARLEN: tl.constexpr, USE_G: tl.constexpr, ): i_t, i_nh = tl.program_id(0), tl.program_id(1) i_n, i_hq = i_nh // HQ, i_nh % HQ i_h = i_hq // G if IS_VARLEN: i_n, i_t = tl.load(indices + i_t * 2).to(tl.int32), tl.load(indices + i_t * 2 + 1).to(tl.int32) bos, eos = tl.load(offsets + i_n).to(tl.int32), tl.load(offsets + i_n + 1).to(tl.int32) T = eos - bos else: bos, eos = i_n * T, i_n * T + T sm_scale = scale * 1.44269504 # offset calculations A += (bos*H + i_h) * BT q += (bos*HQ + i_hq) * K q_new += (bos*HQ + i_hq) * K k += (bos*H + i_h) * K k_new += (bos*H + i_h) * K w2 += (bos*H + i_h) * K w += (bos*H + i_h) * K v += (bos*H + i_h) * V o += (bos*HQ + i_hq) * V beta += (bos*H + i_h) if USE_G: g_cumsum += (bos*HQ + i_hq) L += (bos*HQ + i_hq) M += (bos*HQ + i_hq) p_q = tl.make_block_ptr(q, (T, K), (HQ*K, 1), (i_t * BT, 0), (BT, BK), (1, 0)) p_k = tl.make_block_ptr(k, (K, T), (1, H*K), (0, i_t * BT), (BK, BT), (0, 1)) p_w = tl.make_block_ptr(w, (T, K), (H*K, 1), (i_t * BT, 0), (BT, BK), (1, 0)) p_v = tl.make_block_ptr(v, (T, V), (H*V, 1), (i_t * BT, 0), (BT, BV), (1, 0)) p_beta = tl.make_block_ptr(beta, (T, ), (H, ), (i_t * BT, ), (BT, ), (0, )) p_T = tl.make_block_ptr(A, (T, BT), (BT*H, 1), (i_t * BT, 0), (BT, BT), (1, 0)) b_beta = tl.load(p_beta, boundary_check=(0, )) b_q = tl.load(p_q, boundary_check=(0, 1)) b_kt = tl.load(p_k, boundary_check=(0, 1)) b_v = tl.load(p_v, boundary_check=(0, 1)) b_w = tl.load(p_w, boundary_check=(0, 1)) b_T = tl.load(p_T, boundary_check=(0, 1)) b_T = b_T * b_beta[None, :] o_i = tl.arange(0, BT) m_t = o_i[:, None] >= o_i[None, :] b_qw = tl.where(m_t, tl.dot(b_q, tl.trans(b_w.to(b_q.dtype))), 0).to(b_q.dtype) b_qwT = tl.dot(b_qw, b_T.to(b_q.dtype)).to(b_q.dtype) b_wbk = tl.where(o_i[:, None] > o_i[None, :], tl.dot(b_w.to(b_q.dtype), b_kt), 0).to(b_q.dtype) b_A = tl.where(m_t, tl.dot(b_q, b_kt) - tl.dot(b_qwT.to(b_q.dtype), b_wbk), 0) b_q = b_q.to(tl.float32) - tl.dot(b_qwT, b_w.to(b_q.dtype)) p_q_new = tl.make_block_ptr(q_new, (T, K), (K*HQ, 1), (i_t * BT, 0), (BT, K), (1, 0)) tl.store(p_q_new, b_q.to(p_q_new.dtype.element_ty), boundary_check=(0, 1)) if i_hq % G == 0: b_Twb = tl.dot(b_T, b_w) p_w2 = tl.make_block_ptr(w2, (T, K), (K*H, 1), (i_t * BT, 0), (BT, BK), (1, 0)) tl.store(p_w2, b_Twb.to(p_w2.dtype.element_ty), boundary_check=(0, 1)) b_T_wbk = tl.dot(b_T.to(b_kt.dtype), b_wbk).to(b_kt.dtype) p_k_new = tl.make_block_ptr(k_new, (K, T), (1, K*H), (0, i_t * BT), (BK, BT), (0, 1)) tl.store(p_k_new, (b_kt - tl.dot(tl.trans(b_w.to(b_kt.dtype)), b_T_wbk)).to(p_k_new.dtype.element_ty), boundary_check=(0, 1)) if USE_G: p_g_cumsum = tl.make_block_ptr(g_cumsum, (T, ), (HQ, ), (i_t * BT, ), (BT, ), (0, )) b_g_cumsum = tl.load(p_g_cumsum, boundary_check=(0, )) b_A = b_A + (b_g_cumsum[:, None] - b_g_cumsum[None, :]) b_A = tl.where((i_t * BT + tl.arange(0, BT) < T)[:, None], b_A, float("-inf")) # avoid nan b_qkT_softmax = tl.where(o_i[:, None] >= o_i[None, :], b_A * sm_scale, float("-inf")) m_i = tl.max(b_qkT_softmax, 1) b_qkT_softmax = tl.math.exp2(b_qkT_softmax - m_i[:, None]) l_i = tl.sum(b_qkT_softmax, 1) b_o = tl.dot(b_qkT_softmax.to(b_v.dtype), b_v) p_o = tl.make_block_ptr(o, (T, V), (V*HQ, 1), (i_t * BT, 0), (BT, BV), (1, 0)) tl.store(p_o, b_o.to(p_o.dtype.element_ty), boundary_check=(0, 1)) p_l = tl.make_block_ptr(L, (T, ), (HQ, ), (i_t * BT, ), (BT, ), (0, )) p_m = tl.make_block_ptr(M, (T, ), (HQ, ), (i_t * BT, ), (BT, ), (0, )) tl.store(p_m, m_i.to(p_m.dtype.element_ty), boundary_check=(0,)) tl.store(p_l, l_i.to(p_l.dtype.element_ty), boundary_check=(0,)) def intra_chunk_preprocess_fwd_fn(q, k, v, w, beta, g_cumsum, A, scale, BT, cu_seqlens): HQ = q.shape[-2] B, T, H, K = k.shape V = v.shape[-1] q_new = torch.empty_like(q, dtype=torch.float32) # for stability k_new = torch.empty_like(k) o = torch.empty(B, T, HQ, V, device=q.device, dtype=torch.float32) indices = prepare_chunk_indices(cu_seqlens, BT) if cu_seqlens is not None else None NT = triton.cdiv(T, BT) if cu_seqlens is None else len(indices) grid = (NT, B*HQ) L = torch.empty(B, T, HQ, dtype=torch.float32, device=q.device) M = torch.empty(B, T, HQ, dtype=torch.float32, device=q.device) w2 = torch.empty_like(w) G = HQ//H intra_chunk_preprocess_fwd_kernel[grid]( q=q, k=k, v=v, w=w, beta=beta, g_cumsum=g_cumsum, o=o, A=A, L=L, M=M, w2=w2, q_new=q_new, k_new=k_new, scale=scale, offsets=cu_seqlens, indices=indices, T=T, H=H, G=G, HQ=HQ, K=K, V=V, BK=triton.next_power_of_2(K), BV=triton.next_power_of_2(V), BT=BT, num_warps=4 if BT == 64 else 2, ) return q_new, k_new, w2, o, L, M