# ruff: noqa import torch from reference import naive_nsa import tilelang from tilelang import language as T import tilelang.testing tilelang.testing.set_random_seed(0) @tilelang.jit( out_idx=[-1], pass_configs={ tilelang.PassConfigKey.TL_ENABLE_FAST_MATH: True, tilelang.PassConfigKey.TL_DISABLE_TMA_LOWER: True, tilelang.PassConfigKey.TL_DISABLE_WARP_SPECIALIZED: True, }) def native_sparse_attention(batch, heads, seq_len, dim, is_causal, scale=None, block_size=64, groups=1, selected_blocks=16): if scale is None: scale = (1.0 / dim)**0.5 * 1.44269504 # log2(e) else: scale = scale * 1.44269504 # log2(e) head_kv = heads // groups q_shape = [batch, seq_len, heads, dim] kv_shape = [batch, seq_len, head_kv, dim] block_indices_shape = [batch, seq_len, head_kv, selected_blocks] block_indices_dtype = "int32" dtype = "float16" accum_dtype = "float" block_S = block_size block_T = min(128, tilelang.math.next_power_of_2(dim)) NK = tilelang.cdiv(dim, block_T) NV = tilelang.cdiv(dim, block_T) assert NK == 1, "The key dimension can not be larger than 256" S = selected_blocks G = groups BS = block_S BK = BV = block_T num_stages = 2 threads = 32 @T.prim_func def native_sparse_attention( Q: T.Tensor(q_shape, dtype), K: T.Tensor(kv_shape, dtype), V: T.Tensor(kv_shape, dtype), BlockIndices: T.Tensor(block_indices_shape, block_indices_dtype), Output: T.Tensor(q_shape, dtype), ): with T.Kernel(seq_len, NV, batch * head_kv, threads=threads) as (bx, by, bz): Q_shared = T.alloc_shared([G, BK], dtype) K_shared = T.alloc_shared([BS, BK], dtype) V_shared = T.alloc_shared([BS, BV], dtype) O_shared = T.alloc_shared([G, BV], dtype) acc_s = T.alloc_fragment([G, BS], accum_dtype) acc_s_cast = T.alloc_fragment([G, BS], dtype) acc_o = T.alloc_fragment([G, BV], accum_dtype) scores_max = T.alloc_fragment([G], accum_dtype) scores_max_prev = T.alloc_fragment([G], accum_dtype) scores_scale = T.alloc_fragment([G], accum_dtype) scores_sum = T.alloc_fragment([G], accum_dtype) logsum = T.alloc_fragment([G], accum_dtype) i_t, i_v, i_bh = bx, by, bz i_b, i_h = i_bh // head_kv, i_bh % head_kv NS = S T.copy(Q[i_b, i_t, i_h * G:(i_h + 1) * G, :], Q_shared) T.fill(acc_o, 0) T.fill(logsum, 0) T.fill(scores_max, -T.infinity(accum_dtype)) for i in T.Pipelined(NS, num_stages=num_stages): i_s = BlockIndices[i_b, i_t, i_h, i] * BS if i_s <= i_t and i_s >= 0: # [BS, BK] T.copy(K[i_b, i_s:i_s + BS, i_h, :], K_shared) if is_causal: for i, j in T.Parallel(G, BS): acc_s[i, j] = T.if_then_else(i_t >= (i_s + j), 0, -T.infinity(acc_s.dtype)) else: T.clear(acc_s) T.gemm( Q_shared, K_shared, acc_s, transpose_B=True, policy=T.GemmWarpPolicy.FullRow) # Softmax T.copy(scores_max, scores_max_prev) T.fill(scores_max, -T.infinity(accum_dtype)) T.reduce_max(acc_s, scores_max, dim=1, clear=True) for i in T.Parallel(G): scores_scale[i] = T.exp2(scores_max_prev[i] * scale - scores_max[i] * scale) for i, j in T.Parallel(G, BS): acc_s[i, j] = T.exp2(acc_s[i, j] * scale - scores_max[i] * scale) T.reduce_sum(acc_s, scores_sum, dim=1) for i in T.Parallel(G): logsum[i] = logsum[i] * scores_scale[i] + scores_sum[i] T.copy(acc_s, acc_s_cast) # Rescale for i, j in T.Parallel(G, BV): acc_o[i, j] *= scores_scale[i] # V * softmax(Q * K) T.copy(V[i_b, i_s:i_s + BS, i_h, i_v * BV:(i_v + 1) * BV], V_shared) T.gemm(acc_s_cast, V_shared, acc_o, policy=T.GemmWarpPolicy.FullRow) for i, j in T.Parallel(G, BV): acc_o[i, j] /= logsum[i] T.copy(acc_o, O_shared) T.copy(O_shared, Output[i_b, i_t, i_h * G:(i_h + 1) * G, i_v * BV:(i_v + 1) * BV]) return native_sparse_attention def main(): B, SEQ_LEN, H, HQ, D, S, block_size, dtype, scale = 2, 64, 1, 16, 32, 1, 32, torch.float16, 0.1 kernel = native_sparse_attention( batch=B, heads=HQ, seq_len=SEQ_LEN, dim=D, is_causal=True, block_size=block_size, groups=HQ // H, selected_blocks=S, scale=scale, ) print(kernel.get_kernel_source()) torch.random.manual_seed(0) Q = torch.randn((B, SEQ_LEN, HQ, D), dtype=dtype, device='cuda').requires_grad_(True) K = torch.randn((B, SEQ_LEN, H, D), dtype=dtype, device='cuda').requires_grad_(True) V = torch.randn((B, SEQ_LEN, H, D), dtype=dtype, device='cuda').requires_grad_(True) g_slc = torch.ones((B, SEQ_LEN, HQ), dtype=dtype, device='cuda').requires_grad_(True) g_swa = torch.ones((B, SEQ_LEN, HQ), dtype=dtype, device='cuda').requires_grad_(True) DO = torch.randn((B, SEQ_LEN, HQ, D), dtype=dtype, device='cuda') block_indices = torch.full((B, SEQ_LEN, H, S), SEQ_LEN, dtype=torch.long, device='cuda') for b in range(B): for t in range(SEQ_LEN): for h in range(H): i_i = torch.randperm(max(1, (t // block_size)))[:S] block_indices[b, t, h, :len(i_i)] = i_i block_indices = block_indices.sort(-1)[0] block_counts = torch.randint(1, S + 1, (B, SEQ_LEN, H), device='cuda') out = kernel(Q, K, V, block_indices.to(torch.int32)) ref = naive_nsa( q=Q, k=K, v=V, g_slc=g_slc, g_swa=g_swa, block_indices=block_indices, block_counts=block_counts, block_size=block_size, scale=scale, ) print("out", out) print("ref", ref) torch.testing.assert_close(ref, out, atol=1e-2, rtol=1e-2) if __name__ == "__main__": main()