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vllm.models.deepseek_v41.nvidia.ops.fused_wo_a

DSV4.1 small-batch MXFP8 WO-A with inverse RoPE and quantization.

Classes:

FusedWoAKernel

Bases: VllmCuTeDSLJitKernel['FusedWoAKernel.CompileKey']

Methods:

  • __call__ –

    Return FP8 WO-A output and FlashInfer F8_128x4 scale bytes.

Source code in vllm/models/deepseek_v41/nvidia/ops/fused_wo_a.py
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class FusedWoAKernel(VllmCuTeDSLJitKernel["FusedWoAKernel.CompileKey"]):
    @dataclass(frozen=True)
    class CompileKey:
        # T=1..96 uses at most 46 keys per (n_groups, heads_per_group, o_lora_rank).
        tokens_per_tile: int
        token_tiles: int
        full_tiles: bool
        n_groups: int
        heads_per_group: int
        o_lora_rank: int

    @staticmethod
    def kernel(compile_key: CompileKey) -> Any:
        tokens = compile_key.tokens_per_tile
        token_tiles = compile_key.token_tiles
        full_tiles = compile_key.full_tiles
        acc_cols = 1 << (tokens - 1).bit_length()
        tile_m = max(8, acc_cols)
        tile_n = 128
        tile_k = 128
        # tcgen05 MXFP8 MMA consumes K = 32, one MX block, per instruction.
        mma_k = 32
        # Each group's heads split K across one cluster, one head per CTA.
        heads_per_group = compile_key.heads_per_group
        tiles_per_group = compile_key.o_lora_rank // tile_n
        n_tiles = compile_key.n_groups * tiles_per_group
        # Each CTA keeps one whole head of K in SMEM, one TMA box per stage.
        num_stages = _HEAD_DIM // tile_k
        w_stage_bytes = tile_n * tile_k
        nope_dim = _HEAD_DIM - _ROPE_DIM
        threads_per_token = _HEAD_DIM // 4
        sf_col = max(16, tile_m)
        tmem_cols = sf_col * 2
        threads = min(acc_cols * threads_per_token, 512)
        tokens_per_iter = threads // threads_per_token

        @cute.kernel
        def device_kernel(
            x: cute.Tensor,
            positions: cute.Tensor,
            rope: cute.Tensor,
            w: cpasync.TmaInfo,
            ws: cpasync.TmaInfo,
            q: cute.Tensor,
            qs: cute.Tensor,
            num_tokens: Int32,
        ):
            total_tokens = num_tokens
            if cutlass.const_expr(full_tiles):
                total_tokens = Int32(tokens * token_tiles)
            tid, _, _ = cute.arch.thread_idx()
            bid, token_tile, _ = cute.arch.block_idx()
            token_start = Int32(0)
            if cutlass.const_expr(token_tiles > 1):
                token_start = token_tile * tokens
            warp = cute.arch.make_warp_uniform(tid // 32)
            lane = tid % 32
            split = bid % heads_per_group
            tile = bid // heads_per_group
            group = tile // tiles_per_group
            smem = utils.SmemAllocator()
            sW = smem.allocate_tensor(
                Float8E4M3FN,
                w.smem_layout.outer,
                byte_alignment=128,
                swizzle=w.smem_layout.inner,
            )
            sX = smem.allocate_tensor(
                Float8E4M3FN,
                cute.make_layout(
                    (tile_m, tile_k, num_stages), stride=(tile_k, 1, tile_m * tile_k)
                ),
                byte_alignment=1024,
                swizzle=cute.make_swizzle(3, 4, 3),
            )
            # tcgen05.cp 32x128b.warpx4 order: row r at byte (r % 32) * 16 +
            # (r // 32) * 4, one 4-byte cell of MX-block scales per row.
            sW_SF = smem.allocate_tensor(
                Int32,
                cute.make_layout(((32, 4), num_stages), stride=((4, 1), tile_n)),
                128,
            )
            sW_SF_raw = smem.allocate_tensor(
                Int32, cute.make_layout((tile_n, num_stages)), 128
            )
            sX_SF = smem.allocate_tensor(
                Uint8,
                cute.make_layout(
                    ((32, 4), tile_k // mma_k, num_stages),
                    stride=((16, 4), 1, tile_n * 4),
                ),
                128,
            )
            copy_fp8x4 = cute.make_copy_atom(
                cute.nvgpu.CopyUniversalOp(), Float8E4M3FN, num_bits_per_copy=32
            )
            partial = smem.allocate_tensor(
                Float32,
                cute.make_layout(
                    (tile_n, cute.ceil_div(tokens, heads_per_group), heads_per_group)
                ),
                128,
            )
            mbar_loaded = smem.allocate_array(Int64, num_stages)
            mbar_ws_loaded = smem.allocate_array(Int64, 1)
            mbar_done = smem.allocate_array(Int64, 1)
            mbar_reduced = smem.allocate_array(Int64, 1)
            taddr = smem.allocate(Int32, 4)
            if tid == 0:
                for stage in cutlass.range_constexpr(num_stages):
                    # Wait for weight TMA and this stage's quantization threads.
                    cute.arch.mbarrier_init(mbar_loaded + stage, 1 + threads // 4)
                cute.arch.mbarrier_init(mbar_ws_loaded, 1)
                cute.arch.mbarrier_init(mbar_done, 1)
                cute.arch.mbarrier_init(mbar_reduced, 1)
                cute.arch.mbarrier_init_fence()
            # Local users of the barriers (warp 0's TMA below) need the init too.
            cute.arch.sync_threads()
            # Paired with cluster_wait() below: peers must see mbar_reduced
            # initialized before their st.async; the split hides the barrier.
            cute.arch.cluster_arrive_relaxed()
            if warp == 0:
                # Raw DeepGEMM MN-major scales; the MMA warp transposes them to
                # the UTCCP order, which TMA cannot scatter at 4-byte granularity.
                ws_tiles = cute.zipped_divide(ws.tma_tensor, (tile_n, num_stages))
                with cute.arch.elect_one():
                    mbarrier.arrive_expect_tx(mbar_ws_loaded, tile_n * num_stages * 4)
                simple_tma_copy(
                    ws.atom,
                    ws_tiles[None, (tile % tiles_per_group, split, group)],
                    sW_SF_raw,
                    mbar_ws_loaded,
                )
                tiles = cute.zipped_divide(w.tma_tensor, (tile_n, tile_k))
                for stage in cutlass.range_constexpr(num_stages):
                    with cute.arch.elect_one():
                        mbarrier.arrive_expect_tx(mbar_loaded + stage, w_stage_bytes)
                    simple_tma_copy(
                        w.atom,
                        tiles[None, (tile, split * num_stages + stage)],
                        sW[None, None, stage],
                        mbar_loaded + stage,
                    )
            # x and positions come from the PDL predecessor; everything above
            # only touches weights. Padded sX rows only feed unread MMA columns.
            cute.arch.griddepcontrol_wait()
            # TMEM is allocated at runtime, and a PDL predecessor on this SM may
            # hold it until it exits; allocating earlier can deadlock.
            if warp == 0:
                cute.arch.alloc_tmem(tmem_cols, taddr)
                cute.arch.relinquish_tmem_alloc_permit()
            copy_x = cute.make_copy_atom(
                cute.nvgpu.CopyUniversalOp(), BFloat16, num_bits_per_copy=64
            )
            n_iters = cute.ceil_div(tokens, tokens_per_iter)
            qid = (tid + 32) % threads_per_token
            k = qid * 4
            # Tail rows repeat the last input; their output stores are masked.
            # Issue every token's x load before any math so their latencies overlap.
            x_bf16 = cute.make_rmem_tensor((4, n_iters), BFloat16)
            for iteration in cutlass.range_constexpr(n_iters):
                token = iteration * tokens_per_iter + tid // threads_per_token
                if cutlass.const_expr(tokens % tokens_per_iter == 0) or token < tokens:
                    x_src = cute.local_tile(
                        x[
                            cute.min(token_start + token, total_tokens - 1),
                            group * heads_per_group + split,
                            None,
                        ],
                        (4,),
                        (qid,),
                    )
                    cute.copy(copy_x, x_src, x_bf16[None, iteration])
            # Overlap the RoPE loads across tokens before consuming any of them.
            cos_reg = cute.make_rmem_tensor((2, n_iters), Float32)
            sin_reg = cute.make_rmem_tensor((2, n_iters), Float32)
            if cutlass.const_expr(n_iters > 1):
                copy_rope = cute.make_copy_atom(
                    cute.nvgpu.CopyUniversalOp(), Float32, num_bits_per_copy=32
                )
                if k >= nope_dim:
                    for iteration in cutlass.range_constexpr(n_iters):
                        token = iteration * tokens_per_iter + tid // threads_per_token
                        if (
                            cutlass.const_expr(tokens % tokens_per_iter == 0)
                            or token < tokens
                        ):
                            src_token = cute.min(token_start + token, total_tokens - 1)
                            pos = positions[src_token]
                            freq = (k - nope_dim) // 2
                            rope_row = rope[pos, None]
                            cos_src = cute.local_tile(rope_row, (2,), (freq // 2,))
                            cute.copy(copy_rope, cos_src, cos_reg[None, iteration])
                            sin_tile = (freq + _ROPE_DIM // 2) // 2
                            sin_src = cute.local_tile(rope_row, (2,), (sin_tile,))
                            cute.copy(copy_rope, sin_src, sin_reg[None, iteration])
            for iteration in cutlass.range_constexpr(n_iters):
                token = iteration * tokens_per_iter + tid // threads_per_token
                if cutlass.const_expr(tokens % tokens_per_iter == 0) or token < tokens:
                    x_f32 = cute.make_rmem_tensor((4,), Float32)
                    x_f32.store(x_bf16[None, iteration].load().to(Float32))
                    if k >= nope_dim:
                        # Inverse RoPE on the interleaved pairs (k, k+1) and
                        # (k+2, k+3); each rope row is cos || sin.
                        for pair in cutlass.range_constexpr(2):
                            if cutlass.const_expr(n_iters > 1):
                                cos = cos_reg[pair, iteration]
                                sin = sin_reg[pair, iteration]
                            else:
                                pos = positions[
                                    cute.min(token_start + token, total_tokens - 1)
                                ]
                                freq = (k - nope_dim) // 2 + pair
                                cos = Float32(rope[pos, freq])
                                sin = Float32(rope[pos, freq + _ROPE_DIM // 2])
                            even, odd = x_f32[2 * pair], x_f32[2 * pair + 1]
                            x_f32[2 * pair] = _rope_fma(even, cos, odd, sin)
                            x_f32[2 * pair + 1] = _rope_fma(
                                odd, cos, even, sin, subtract=True
                            )
                    amax = cute.arch.fmax(
                        cute.arch.fmax(cute.abs(x_f32[0]), cute.abs(x_f32[1])),
                        cute.arch.fmax(cute.abs(x_f32[2]), cute.abs(x_f32[3])),
                    )
                    amax = cute.arch.warp_reduction_max(amax, threads_in_group=8)
                    exponent, inv = _scale(cute.arch.fmax(amax, Float32(1e-10)))
                    x_fp8 = cute.make_rmem_tensor((4,), Float8E4M3FN)
                    x_fp8.store((x_f32.load() * inv).to(Float8E4M3FN))
                    cute.copy(
                        copy_fp8x4,
                        x_fp8,
                        cute.local_tile(
                            sX[token, None, k // tile_k], (4,), (qid % 32,)
                        ),
                    )
                    if lane % 8 == 0:
                        sX_SF[token, k % tile_k // mma_k, k // tile_k] = Uint8(exponent)
            cute.arch.fence_proxy("async.shared", space="cta")
            mbarrier.arrive(mbar_loaded + qid // 32, order="release")
            if warp == 0:
                base = cute.make_tensor(taddr, cute.make_layout(1))[0]
                # sW / sX are 128B-swizzled K-major; one stage's K fills the
                # swizzle atom, so the leading byte offset is unused.
                sdesc = _tcgen05.make_sdesc_128B_swizzle(LBO=0)
                # Unswizzled 32 x 16 B scale tiles: SBO = one 8-row core matrix
                # (16 B units at bit 32); bit 46 is the SM100 descriptor version.
                sf_sbo = 8 * 16
                sfdesc = Uint64((sf_sbo >> 4 << 32) | (1 << 46))
                # M = tile_n weight rows (A), N = tile_m token rows (B).
                idesc = _tcgen05.make_mxfp8_idesc(tile_n, tile_m)
                # sW_SF's layout is the UTCCP order, so a plain copy transposes;
                # fence the generic-proxy writes before tcgen05.cp reads them.
                cute.arch.mbarrier_wait(mbar_ws_loaded, 0)
                for stage in cutlass.range_constexpr(num_stages):
                    for i in cutlass.range_constexpr(4):
                        sW_SF[i * 32 + lane, stage] = sW_SF_raw[i * 32 + lane, stage]
                cute.arch.fence_proxy("async.shared", space="cta")
                cute.arch.sync_warp()
                for stage in cutlass.range_constexpr(num_stages):
                    cute.arch.mbarrier_wait(mbar_loaded + stage, 0)
                    _tcgen05.fence_after_thread_sync()
                    if cutlass.const_expr(stage == num_stages - 1):
                        with cute.arch.elect_one():
                            cute.arch.griddepcontrol_launch_dependents()
                    adesc = sdesc | (sW[None, None, stage].iterator.toint() >> 4)
                    bdesc = sdesc | (sX[None, None, stage].iterator.toint() >> 4)
                    _tcgen05.cp(
                        base + sf_col,
                        sfdesc | (sW_SF[None, stage].iterator.toint() >> 4),
                        "32x128b",
                        "warpx4",
                    )
                    _tcgen05.cp(
                        base + sf_col + 4,
                        sfdesc | (sX_SF[None, None, stage].iterator.toint() >> 4),
                        "32x128b",
                        "warpx4",
                    )
                    # Advance mma_k FP8 bytes (16 B units) and pick MX block kk of
                    # each 4-byte scale (B sf_id at bit 4, A sf_id at bit 29).
                    for kk in cutlass.range_constexpr(tile_k // mma_k):
                        _tcgen05.mma_mxfp8(
                            base,
                            adesc + kk * mma_k // 16,
                            bdesc + kk * mma_k // 16,
                            idesc + ((kk << 4) | (kk << 29)),
                            base + sf_col,
                            base + sf_col + 4,
                            stage > 0 or kk > 0,
                        )
                _tcgen05.commit(mbar_done)
                # Only the MMA warp waits; barrier 2 releases the TMEM readers.
                cute.arch.mbarrier_wait(mbar_done, 0)
            if tid < tile_n:
                cute.arch.barrier(barrier_id=2, number_of_threads=tile_n)
            # Tokens t with t % heads_per_group == split arrive from every peer
            # (this CTA included), tile_n Float32 rows each.
            if tid == 0:
                owned = cute.ceil_div(tokens - split, heads_per_group)
                mbarrier.arrive_expect_tx(
                    mbar_reduced, owned * tile_n * heads_per_group * 4
                )
            # Pairs with cluster_arrive_relaxed() above: every peer's
            # mbar_reduced is initialized before the st.async below.
            cute.arch.cluster_wait()
            # quack's process-wide const_expr-if rewrite can leave these unbound
            # after the dynamic path above; bind them so the regions join.
            amax, exponent, inv = Float32(0), Uint32(0), Float32(0)
            if tid < tile_n:
                base = cute.make_tensor(taddr, cute.make_layout(1))[0]
                _tcgen05.fence_after_thread_sync()
                acc = cute.make_rmem_tensor(acc_cols, Float32)
                if cutlass.const_expr(tokens == 1):
                    acc[0] = _tcgen05.ld(warp * 32, base, "32x32b", 1)
                else:
                    acc.store(_tcgen05.ld(warp * 32, base, "32x32b", acc_cols))
                _tcgen05.wait_ld()
                for token in cutlass.range_constexpr(tokens):
                    ptr = cute.domain_offset(
                        (tid, token // heads_per_group, split), partial
                    ).iterator
                    cute.arch.store_async_dsmem(
                        ptr,
                        recast_val(acc[token], Int32),
                        mbar_reduced,
                        token % heads_per_group,
                    )
                if split < tokens:
                    # One warp waits for the peers' bytes; named barrier 1 (0 is
                    # sync_threads) releases the other tile_n epilogue threads.
                    if warp == 0:
                        cute.arch.mbarrier_wait(mbar_reduced, 0)
                    cute.arch.barrier(barrier_id=1, number_of_threads=tile_n)
                    for i in cutlass.range_constexpr(
                        cute.ceil_div(tokens, heads_per_group)
                    ):
                        token = split + i * heads_per_group
                        if cutlass.const_expr(
                            full_tiles
                            and (
                                tokens <= heads_per_group
                                or tokens % heads_per_group == 0
                            )
                        ) or (token < tokens and token_start + token < total_tokens):
                            value = Float32(0)
                            for peer in cutlass.range_constexpr(heads_per_group):
                                value += partial[tid, i, peer]
                            value = Float32(BFloat16(value))
                            amax = cute.arch.warp_redux_sync(value, "max", abs=True)
                            exponent, inv = _scale(amax)
                            q[token_start + token, tile * tile_n + tid] = Float8E4M3FN(
                                value * inv
                            )
                            if lane == 0:
                                row = token_start + token
                                offset = row % 32 * 16 + row // 32 * 4 + warp
                                qs[tile * 512 + offset] = Uint8(exponent)
                # Every scale tile owns its padding, with no second memset kernel.
                for i in cutlass.range_constexpr(4):
                    offset = i * tile_n + tid
                    row = offset // 16 + (offset % 16 // 4) * 32
                    if token_tile == 0 and split == 0 and row >= total_tokens:
                        qs[tile * 512 + offset] = Uint8(0)
            # Each receiver drained all writes into its own inbox. Only local
            # TMEM readers must finish before deallocation; no peer reads SMEM.
            if tid < tile_n:
                cute.arch.barrier(barrier_id=2, number_of_threads=tile_n)
            if warp == 0:
                cute.arch.dealloc_tmem(
                    cute.make_ptr(
                        Float32,
                        cute.make_tensor(taddr, cute.make_layout(1))[0],
                        cute.AddressSpace.tmem,
                    ),
                    tmem_cols,
                )

        @cute.jit
        def host_entrypoint(
            x: cute.Tensor,
            positions: cute.Tensor,
            rope: cute.Tensor,
            w: cute.Tensor,
            ws: cute.Tensor,
            q: cute.Tensor,
            qs: cute.Tensor,
            num_tokens: Int32,
            stream: CUstream,
        ):
            layout = cute.make_composed_layout(
                cute.make_swizzle(3, 4, 3),
                0,
                cute.make_layout(
                    (tile_n, tile_k, num_stages), stride=(tile_k, 1, w_stage_bytes)
                ),
            )
            tma = cpasync.make_tiled_tma_atom(
                cpasync.CopyBulkTensorTileG2SOp(cta_group=tcgen05.CtaGroup.ONE),
                w,
                layout,
                (tile_n, tile_k),
            )
            ws_tma = cpasync.make_tiled_tma_atom(
                cpasync.CopyBulkTensorTileG2SOp(cta_group=tcgen05.CtaGroup.ONE),
                cute.make_tensor(ws.iterator, cute.select(ws.layout, mode=[1, 2, 0])),
                cute.make_layout((tile_n, num_stages)),
                (tile_n, num_stages),
            )
            device_kernel(x, positions, rope, tma, ws_tma, q, qs, num_tokens).launch(
                grid=(n_tiles * heads_per_group, token_tiles, 1),
                block=(threads, 1, 1),
                cluster=(heads_per_group, 1, 1),
                stream=stream,
                use_pdl=True,
            )

        return host_entrypoint

    def dispatch(  # type: ignore[override]
        self, *, tokens: int, n_groups: int, heads_per_group: int, o_lora_rank: int
    ) -> CompileKey:
        token_tiles = (tokens + 31) // 32
        # Host integer arithmetic: balance tiles in multiples of four tokens.
        tile_tokens = (
            tokens
            if token_tiles == 1
            else (tokens + 4 * token_tiles - 1) // (4 * token_tiles) * 4
        )
        return self.CompileKey(
            tokens_per_tile=tile_tokens,
            token_tiles=token_tiles,
            full_tiles=tokens % tile_tokens == 0,
            n_groups=n_groups,
            heads_per_group=heads_per_group,
            o_lora_rank=o_lora_rank,
        )

    def get_warmup_keys(
        self, *, max_tokens: int, n_groups: int, heads_per_group: int, o_lora_rank: int
    ) -> list[CompileKey]:
        # Trace all accepted token counts and deduplicate shared tile shapes.
        return self._trace_dispatch(self.dispatch)(
            tokens=WarmupIntRange(1, max_tokens + 1),
            n_groups=n_groups,
            heads_per_group=heads_per_group,
            o_lora_rank=o_lora_rank,
        )

    def warmup_inputs(self, compile_key: CompileKey) -> tuple[Any, ...]:
        tokens = (
            compile_key.tokens_per_tile * compile_key.token_tiles
            if compile_key.full_tiles
            else cute.sym_int()
        )
        groups = compile_key.n_groups
        rank = compile_key.o_lora_rank
        n = groups * rank
        k = compile_key.heads_per_group * _HEAD_DIM
        return (
            make_fake_tensor(
                BFloat16,
                (tokens, groups * compile_key.heads_per_group, _HEAD_DIM),
                (cute.sym_int(divisibility=8), _HEAD_DIM, 1),
                assumed_align=16,
            ),
            make_fake_tensor(Int64, (tokens,), (1,)),
            make_fake_tensor(Float32, (cute.sym_int(), _ROPE_DIM), (_ROPE_DIM, 1)),
            make_fake_tensor(Float8E4M3FN, (n, k), (k, 1), assumed_align=16),
            make_fake_tensor(
                Int32,
                (groups, rank, k // 128),
                (rank * k // 128, 1, rank),
                assumed_align=16,
            ),
            make_fake_tensor(Float8E4M3FN, (tokens, n), (n, 1)),
            make_fake_tensor(Uint8, (128 * n // 32,), (1,)),
            Int32(0),
        )

    @kernel_launcher
    def __call__(
        self,
        *,
        x: torch.Tensor,
        positions: torch.Tensor,
        rope: torch.Tensor,
        weight: torch.Tensor,
        weight_scale: torch.Tensor,
    ) -> CuTeDSLLaunchSpec["FusedWoAKernel.CompileKey"]:
        """Return FP8 WO-A output and FlashInfer F8_128x4 scale bytes."""
        tokens = x.shape[0]
        groups, rank = weight_scale.shape[:2]
        n = groups * rank
        q = torch.empty((tokens, n), device=x.device, dtype=torch.float8_e4m3fn)
        scales = torch.empty(128 * n // 32, device=x.device, dtype=torch.uint8)
        launch_args = (
            x,
            positions,
            rope,
            weight.view(n, -1),
            weight_scale,
            q,
            scales,
            tokens,
        )
        compile_key = self.dispatch(
            tokens=tokens,
            n_groups=groups,
            heads_per_group=x.shape[1] // groups,
            o_lora_rank=rank,
        )
        return compile_key, launch_args, (q, scales)

__call__(*, x, positions, rope, weight, weight_scale)

Return FP8 WO-A output and FlashInfer F8_128x4 scale bytes.

Source code in vllm/models/deepseek_v41/nvidia/ops/fused_wo_a.py
@kernel_launcher
def __call__(
    self,
    *,
    x: torch.Tensor,
    positions: torch.Tensor,
    rope: torch.Tensor,
    weight: torch.Tensor,
    weight_scale: torch.Tensor,
) -> CuTeDSLLaunchSpec["FusedWoAKernel.CompileKey"]:
    """Return FP8 WO-A output and FlashInfer F8_128x4 scale bytes."""
    tokens = x.shape[0]
    groups, rank = weight_scale.shape[:2]
    n = groups * rank
    q = torch.empty((tokens, n), device=x.device, dtype=torch.float8_e4m3fn)
    scales = torch.empty(128 * n // 32, device=x.device, dtype=torch.uint8)
    launch_args = (
        x,
        positions,
        rope,
        weight.view(n, -1),
        weight_scale,
        q,
        scales,
        tokens,
    )
    compile_key = self.dispatch(
        tokens=tokens,
        n_groups=groups,
        heads_per_group=x.shape[1] // groups,
        o_lora_rank=rank,
    )
    return compile_key, launch_args, (q, scales)

_rope_fma(value, cos, other, sin, *, subtract=False, loc=None, ip=None)

Preserve multiply/FMA rounding when RoPE loads are hoisted.

Source code in vllm/models/deepseek_v41/nvidia/ops/fused_wo_a.py
@dsl_user_op
def _rope_fma(value, cos, other, sin, *, subtract=False, loc=None, ip=None):
    """Preserve multiply/FMA rounding when RoPE loads are hoisted."""
    result = llvm.inline_asm(
        Float32.mlir_type,
        [v.ir_value(loc=loc, ip=ip) for v in (value, cos, other, sin)],
        "{ .reg .f32 product; mul.rn.f32 product, $3, $4; "
        + (
            "neg.f32 product, product; fma.rn.f32 $0, $1, $2, product; }"
            if subtract
            else "fma.rn.f32 $0, $1, $2, product; }"
        ),
        "=f,f,f,f,f",
        has_side_effects=False,
        loc=loc,
        ip=ip,
    )
    return Float32(result)