DeepSeek V4.1

def get_window_topk_idxs(window_size: int, bsz: int, seqlen: int, start_pos: int):
    """Which sliding-window cache slots each query attends to; -1 marks a slot holding nothing.

    The cache is a ring of `window_size` slots. Prefill needs one row per query, each seeing its own
    causal window. A decode step has a single query that sees the whole ring, listed oldest first.
    Order within a row does not matter to `sparse_attn`, which handles every slot independently.
    """
    if start_pos == 0:
        end = torch.arange(seqlen).unsqueeze(1)
        idxs = (end - window_size + 1).clamp(0) + torch.arange(min(seqlen, window_size))
        idxs = torch.where(idxs > end, -1, idxs)  # before the sequence started
    else:
        oldest = start_pos % window_size + 1
        idxs = torch.cat([torch.arange(oldest, window_size), torch.arange(oldest)])
        idxs = torch.where(idxs > start_pos, -1, idxs)  # ring still filling
    # sparse_attn needs real [b, m, topk] int32 memory, hence the materializing expand
    return idxs.int().unsqueeze(0).expand(bsz, -1, -1).contiguous()

    def forward(self, x: torch.Tensor, start_pos: int):
        bsz, seqlen, _ = x.size()
        freqs_cis = self.freqs_cis[start_pos : start_pos + seqlen]
        rd = self.rope_head_dim

        qr = self.q_norm(self.wq_a(x))
        q = self.wq_b(qr).unflatten(-1, (self.n_local_heads, self.head_dim))
        apply_rotary_emb(q[..., -rd:], freqs_cis)

        kv, topk_idxs = self._window_kv(x, freqs_cis, start_pos)
        if self.compress_ratio:
            compress_kv, compress_idxs = self._compress_kv(x, qr, start_pos, kv.size(1))
            kv = torch.cat([kv, compress_kv], dim=1)
            topk_idxs = torch.cat([topk_idxs, compress_idxs], dim=-1)

        o = sparse_attn(q, kv, self.attn_sink, topk_idxs, self.softmax_scale)
        apply_rotary_emb(o[..., -rd:], freqs_cis, True)

        # wo_a is block-diagonal over groups (each projects only its own heads), hence einsum not
        # Linear. convert.py dequantizes it to bf16; an fp8 grouped GEMM would halve the memory.
        o = o.view(bsz, seqlen, self.n_local_groups, -1)
        wo_a = self.wo_a.weight.view(self.n_local_groups, self.o_lora_rank, -1)
        o = torch.einsum("bsgd,grd->bsgr", o, wo_a)
        x = self.wo_b(o.flatten(2))
        return x

class Indexer(torch.nn.Module):
    """Keeps the `index_topk` best compressed positions per query.

    A small side attention: fp4 query heads against one shared key per compressed position, scores
    rectified then combined by `weights_proj`. With a candidate source this is the second of two
    levels; `select_candidate_blocks` is the first.
    """

    def __init__(self, args: ModelArgs, layer_id: int):
        super().__init__()
        # the index keys are derived from the compressor's latent, so only a layer that compresses
        # its own KV can produce them; every other indexer reads them from that layer's cache
        self.owns_k = layer_id in args.kv_source_layers
        self.compress_ratio = args.compress_ratios[layer_id]
        self.is_candidate_source = layer_id == args.candidate_source_layer
        self.uses_candidates = 0 <= args.candidate_source_layer < layer_id
        self.candidate_topk_blocks = args.candidate_topk_blocks
        self.candidate_block_size = args.candidate_block_size
        self.dim = args.dim
        self.n_heads = args.index_n_heads
        self.n_local_heads = args.index_n_heads // world_size
        self.index_head_dim = args.index_head_dim
        self.rope_head_dim = args.rope_head_dim
        self.index_topk = args.index_topk
        self.q_lora_rank = args.q_lora_rank
        self.softmax_scale = self.index_head_dim**-0.5
        self.wq_b = ColumnParallelLinear(self.q_lora_rank, self.n_heads * self.index_head_dim)
        self.weights_proj = ColumnParallelLinear(self.dim, self.n_heads, dtype=torch.bfloat16)
        self.freqs_cis: torch.Tensor | None = None
        if self.owns_k:
            self.wk = Linear(args.head_dim, self.index_head_dim, dtype=torch.bfloat16)
            self.k_norm = RMSNorm(self.index_head_dim, args.norm_eps)
            self.k_cache: torch.Tensor
            self.register_buffer(
                "k_cache",
                torch.zeros(args.max_batch_size, args.max_seq_len // self.compress_ratio, args.index_head_dim),
                persistent=False,
            )

    def forward(self, x: torch.Tensor, qr: torch.Tensor, latent: torch.Tensor, start_pos: int, offset: int):
        """`latent` is this layer's RoPE-free compressed latent, None when this layer does not
        compress or when its current group is still incomplete. An index-key owner turns it into
        index keys here, which has to happen before Attention overwrites that same storage with
        the RoPE'd, quantized values."""
        assert self.freqs_cis is not None
        bsz, seqlen, _ = x.size()
        ratio, rd, end_pos = self.compress_ratio, self.rope_head_dim, start_pos + seqlen

        # latent is None while a group is still filling up, so there is nothing to publish yet
        if self.owns_k and latent is not None:
            # a latent stands for the first token of its group, so group j takes position j * ratio
            freqs = (
                self.freqs_cis[: seqlen - seqlen % ratio : ratio]
                if start_pos == 0
                else self.freqs_cis[start_pos + 1 - ratio].unsqueeze(0)
            )
            k = self.k_norm(self.wk(latent))
            apply_rotary_emb(k[..., -rd:], freqs)
            fp4_act_quant(k, fp4_block_size, True)
            self.k_cache[:bsz, start_pos // ratio : start_pos // ratio + k.size(1)] = k
            shared_attn.index_k = self.k_cache

        q = self.wq_b(qr).unflatten(-1, (self.n_local_heads, self.index_head_dim))
        apply_rotary_emb(q[..., -rd:], self.freqs_cis[start_pos:end_pos])
        fp4_act_quant(q, fp4_block_size, True)

        index_k = shared_attn.index_k[:bsz, : end_pos // ratio]
        weights = self.weights_proj(x) * (self.softmax_scale * self.n_heads**-0.5)
        index_score = torch.einsum("bshd,btd->bsht", q, index_k)
        index_score = (index_score.relu_() * weights.unsqueeze(-1)).sum(dim=2)
        if world_size > 1:
            dist.all_reduce(index_score)

        # how many compressed positions each query can see: a block becomes visible once the query
        # has passed its last token. One query per decode step, so there it is just a number.
        if start_pos == 0:
            compress_lens = (torch.arange(1, seqlen + 1, device=x.device) // ratio).unsqueeze(-1)
            index_score.masked_fill_(torch.arange(seqlen // ratio, device=x.device) >= compress_lens, -torch.inf)
        else:
            compress_lens = end_pos // ratio

        if self.is_candidate_source:
            shared_attn.candidates = select_candidate_blocks(
                index_score, compress_lens, self.candidate_topk_blocks, self.candidate_block_size
            )
        elif self.uses_candidates:
            # level two: score with our own weights, but only inside the source's candidate blocks
            index_score = index_score.masked_fill(~shared_attn.candidates, -torch.inf)

        # top-k by score, re-sorted into position order; unreachable -> -1, rest shifted by offset
        topk = min(self.index_topk, end_pos // ratio)
        idxs = index_score.topk(topk, dim=-1, sorted=False).indices.sort(dim=-1).values
        return torch.where(idxs < compress_lens, idxs + offset, -1).int()

@tilelang.jit(pass_configs=pass_configs)
def sparse_attn_kernel(h: int, d: int, scale=None):
    """Sparse multi-head attention via index gathering + online softmax (FlashAttention-style).
    For each (batch, seq_pos), gathers top-k KV positions by index, computes attention
    with numerically stable running max/sum, and includes a learnable attn_sink bias."""
    b = T.symbolic("b")
    m = T.symbolic("m")
    n = T.symbolic("n")
    topk = T.symbolic("topk")
    if scale is None:
        scale = (1.0 / d) ** 0.5

    num_stages = 2
    threads = 256
    block = 64
    num_blocks = tilelang.cdiv(topk, block)

    @T.prim_func
    def sparse_attn_kernel_(
        q: T.Tensor[(b, m, h, d), BF16],
        kv: T.Tensor[(b, n, d), BF16],
        o: T.Tensor[(b, m, h, d), BF16],
        attn_sink: T.Tensor[(h,), FP32],
        topk_idxs: T.Tensor[(b, m, topk), INT32],
    ):
        with T.Kernel(m, b, threads=threads) as (bx, by):
            q_shared = T.alloc_shared((h, d), BF16)
            kv_shared = T.alloc_shared((block, d), BF16)
            o_shared = T.alloc_shared((h, d), BF16)
            acc_s_cast = T.alloc_shared((h, block), BF16)

            idxs = T.alloc_fragment(block, INT32)
            acc_s = T.alloc_fragment((h, block), FP32)
            acc_o = T.alloc_fragment((h, d), FP32)
            scores_max = T.alloc_fragment(h, FP32)
            scores_max_prev = T.alloc_fragment(h, FP32)
            scores_scale = T.alloc_fragment(h, FP32)
            scores_sum = T.alloc_fragment(h, FP32)
            sum_exp = T.alloc_fragment(h, FP32)

            T.clear(acc_o)
            T.clear(sum_exp)
            # Finite lower bound instead of -inf: a row with no valid index (all -1) would otherwise
            # produce exp(-inf - (-inf)) = NaN. With a finite bound such rows yield an all-zero output,
            # matching the training kernel's convention.
            T.fill(scores_max, -1e30)
            T.copy(q[by, bx, :, :], q_shared)

            for t in T.Pipelined(num_blocks, num_stages=num_stages):
                for i in T.Parallel(block):
                    idxs[i] = T.if_then_else(t * block + i < topk, topk_idxs[by, bx, t * block + i], -1)
                for i, j in T.Parallel(block, d):
                    kv_shared[i, j] = T.if_then_else(idxs[i] != -1, kv[by, idxs[i], j], 0)
                for i, j in T.Parallel(h, block):
                    acc_s[i, j] = T.if_then_else(idxs[j] != -1, 0, -T.infinity(FP32))
                T.gemm(q_shared, kv_shared, acc_s, transpose_B=True, policy=T.GemmWarpPolicy.FullRow)
                for i, j in T.Parallel(h, block):
                    acc_s[i, j] *= scale
                T.copy(scores_max, scores_max_prev)
                T.reduce_max(acc_s, scores_max, dim=1, clear=False)
                for i in T.Parallel(h):
                    scores_scale[i] = T.exp(scores_max_prev[i] - scores_max[i])
                for i, j in T.Parallel(h, block):
                    acc_s[i, j] = T.exp(acc_s[i, j] - scores_max[i])
                T.reduce_sum(acc_s, scores_sum, dim=1)
                for i in T.Parallel(h):
                    sum_exp[i] = sum_exp[i] * scores_scale[i] + scores_sum[i]
                T.copy(acc_s, acc_s_cast)
                for i, j in T.Parallel(h, d):
                    acc_o[i, j] *= scores_scale[i]
                T.gemm(acc_s_cast, kv_shared, acc_o, policy=T.GemmWarpPolicy.FullRow)

            for i in T.Parallel(h):
                sum_exp[i] += T.exp(attn_sink[i] - scores_max[i])
            for i, j in T.Parallel(h, d):
                acc_o[i, j] /= sum_exp[i]
            T.copy(acc_o, o_shared)
            T.copy(o_shared, o[by, bx, :, :])

    return sparse_attn_kernel_


def sparse_attn(q: torch.Tensor, kv: torch.Tensor, attn_sink: torch.Tensor, topk_idxs: torch.Tensor, softmax_scale: float) -> torch.Tensor:
    b, s, h, d = q.size()
    # Pad heads to 16 for kernel efficiency (stripped after)
    if h < 16:
        q = torch.cat([q, q.new_zeros(b, s, 16 - h, d)], dim=2)
        attn_sink = torch.cat([attn_sink, attn_sink.new_zeros(16 - h)])
    o = torch.empty_like(q)
    kernel = sparse_attn_kernel(q.size(2), d, softmax_scale)
    kernel(q, kv, o, attn_sink, topk_idxs)
    if h < 16:
        o = o.narrow(2, 0, h).contiguous()
    return o

class Attention(nn.Module):
    """Latent attention over two KV sources at once, concatenated into one `sparse_attn` call: a
    sliding window of raw KV, plus -- when compress_ratio > 0 -- `index_topk` compressed positions
    reaching further back. Q and the output projection are both low-rank, the latter grouped.

    compress_ratio > 0 does not mean the layer compresses its own KV: only kv_source_layers do,
    the rest read that same cache.
    """

    def __init__(self, layer_id: int, args: ModelArgs):
        super().__init__()
        self.layer_id = layer_id
        self.dim = args.dim
        self.n_heads = args.n_heads
        self.n_local_heads = args.n_heads // world_size
        self.q_lora_rank = args.q_lora_rank
        self.o_lora_rank = args.o_lora_rank
        self.head_dim = args.head_dim
        self.rope_head_dim = args.rope_head_dim
        self.nope_head_dim = args.head_dim - args.rope_head_dim
        self.n_groups = args.o_groups
        self.n_local_groups = self.n_groups // world_size
        self.window_size = args.window_size
        self.compress_ratio = args.compress_ratios[layer_id]
        self.eps = args.norm_eps

        self.attn_sink = nn.Parameter(torch.empty(self.n_local_heads, dtype=torch.float32))
        self.wq_a = Linear(self.dim, self.q_lora_rank)
        self.q_norm = RMSNorm(self.q_lora_rank, self.eps)
        self.wq_b = ColumnParallelLinear(self.q_lora_rank, self.n_heads * self.head_dim)
        self.wkv = Linear(self.dim, self.head_dim)
        self.kv_norm = RMSNorm(self.head_dim, self.eps)
        self.wo_a = ColumnParallelLinear(
            self.n_heads * self.head_dim // self.n_groups,
            self.n_groups * args.o_lora_rank,
            dtype=torch.bfloat16,
        )
        self.wo_b = RowParallelLinear(self.n_groups * args.o_lora_rank, self.dim)
        self.softmax_scale = self.head_dim**-0.5

        is_backbone = layer_id < args.n_layers
        self.is_kv_source = is_backbone and layer_id in args.kv_source_layers
        self.is_index_source = is_backbone and layer_id in args.index_source_layers
        self.compressor: Compressor | None = None
        self.indexer: Indexer | None = None
        if self.is_kv_source:
            self.compressor = Compressor(args, layer_id)
        if self.is_index_source:
            self.indexer = Indexer(args, layer_id)

        self.window_kv_cache: torch.Tensor
        self.register_buffer(
            "window_kv_cache",
            torch.zeros(args.max_batch_size, args.window_size, self.head_dim),
            persistent=False,
        )
        if self.is_kv_source:
            self.compress_kv_cache: torch.Tensor
            self.register_buffer(
                "compress_kv_cache",
                torch.zeros(
                    args.max_batch_size,
                    args.max_seq_len // self.compress_ratio,
                    self.head_dim,
                ),
                persistent=False,
            )
        if self.compress_ratio:
            original_seq_len, rope_theta = (
                args.original_seq_len,
                args.compress_rope_theta,
            )
        else:
            # disable YaRN and use base rope_theta in pure sliding-window attention
            original_seq_len, rope_theta = 0, args.rope_theta
        freqs_cis = precompute_freqs_cis(
            self.rope_head_dim,
            args.max_seq_len,
            original_seq_len,
            rope_theta,
            args.rope_factor,
            args.beta_fast,
            args.beta_slow,
        )
        self.freqs_cis: torch.Tensor
        self.register_buffer("freqs_cis", freqs_cis, persistent=False)

def precompute_freqs_cis(dim, seqlen, original_seq_len, base, factor, beta_fast, beta_slow) -> torch.Tensor:
    """Rotary frequencies as complex exponentials, one row per position.

    With original_seq_len > 0 this applies YaRN: dimensions whose wavelength already fits inside the
    training context keep their frequency, those far beyond it are divided by `factor`, and the
    `beta_fast`..`beta_slow` band in between is faded across with a linear ramp.
    """
    freqs = 1.0 / (base ** (torch.arange(0, dim, 2, dtype=torch.float32) / dim))
    if original_seq_len > 0:
        # the dim whose wavelength completes `rotations` turns over the training context
        def corrected_dim(rotations):
            return dim * math.log(original_seq_len / (rotations * 2 * math.pi)) / (2 * math.log(base))

        low = max(math.floor(corrected_dim(beta_fast)), 0)
        high = min(math.ceil(corrected_dim(beta_slow)), dim - 1)
        ramp = ((torch.arange(dim // 2, dtype=torch.float32) - low) / max(high - low, 1e-3)).clamp(0, 1)
        smooth = 1 - ramp
        freqs = freqs / factor * (1 - smooth) + freqs * smooth

    freqs = torch.outer(torch.arange(seqlen), freqs)
    return torch.polar(torch.ones_like(freqs), freqs)


def apply_rotary_emb(x: torch.Tensor, freqs_cis: torch.Tensor, inverse: bool = False) -> torch.Tensor:
    """Rotate `x` in place, taking adjacent element pairs as complex numbers. Accepts [b, s, d] and
    [b, s, h, d]; `inverse` conjugates the rotation, which is how the attention output gets the
    query's rotation removed again so the cache can stay in one shared rotated form."""
    y = x
    x = torch.view_as_complex(x.float().unflatten(-1, (-1, 2)))
    if inverse:
        freqs_cis = freqs_cis.conj()
    if x.ndim == 3:
        freqs_cis = freqs_cis.view(1, x.size(1), x.size(-1))
    else:
        freqs_cis = freqs_cis.view(1, x.size(1), 1, x.size(-1))
    x = torch.view_as_real(x * freqs_cis).flatten(-2)
    y.copy_(x)
    return y