VTimeLLM/flash-attention/flash_attn/cute/utils.py

# Copyright (c) 2025, Tri Dao.

import math
from typing import Type, Callable, Optional, Tuple

import cutlass
import cutlass.cute as cute

from cutlass import Float32, Int32
from cutlass.cutlass_dsl import T, dsl_user_op
from cutlass._mlir.dialects import nvvm, llvm, arith, vector
from cutlass.cute.runtime import from_dlpack


def convert_from_dlpack(x, leading_dim, alignment=16, divisibility=1) -> cute.Tensor:
    return (
        from_dlpack(x, assumed_align=alignment)
        .mark_layout_dynamic(leading_dim=leading_dim)
        .mark_compact_shape_dynamic(
            mode=leading_dim, stride_order=x.dim_order(), divisibility=divisibility
        )
    )


def make_tiled_copy_A(
    copy_atom: cute.CopyAtom, tiled_mma: cute.TiledMma, swapAB: cutlass.Constexpr[bool] = False
) -> cute.TiledCopy:
    if cutlass.const_expr(swapAB):
        return cute.make_tiled_copy_B(copy_atom, tiled_mma)
    else:
        return cute.make_tiled_copy_A(copy_atom, tiled_mma)


def make_tiled_copy_B(
    copy_atom: cute.CopyAtom, tiled_mma: cute.TiledMma, swapAB: cutlass.Constexpr[bool] = False
) -> cute.TiledCopy:
    if cutlass.const_expr(swapAB):
        return cute.make_tiled_copy_A(copy_atom, tiled_mma)
    else:
        return cute.make_tiled_copy_B(copy_atom, tiled_mma)


def mma_make_fragment_A(
    smem: cute.Tensor, thr_mma: cute.core.ThrMma, swapAB: cutlass.Constexpr[bool] = False
) -> cute.Tensor:
    if cutlass.const_expr(swapAB):
        return mma_make_fragment_B(smem, thr_mma)
    else:
        return thr_mma.make_fragment_A(thr_mma.partition_A(smem))


def mma_make_fragment_B(
    smem: cute.Tensor, thr_mma: cute.core.ThrMma, swapAB: cutlass.Constexpr[bool] = False
) -> cute.Tensor:
    if cutlass.const_expr(swapAB):
        return mma_make_fragment_A(smem, thr_mma)
    else:
        return thr_mma.make_fragment_B(thr_mma.partition_B(smem))


def get_smem_store_atom(
    arch: cutlass.Constexpr[int], element_type: Type[cute.Numeric]
) -> cute.CopyAtom:
    if cutlass.const_expr(arch < 90):
        return cute.make_copy_atom(
            cute.nvgpu.CopyUniversalOp(),
            element_type,
            num_bits_per_copy=2 * element_type.width,
        )
    else:
        return cute.make_copy_atom(
            cute.nvgpu.warp.StMatrix8x8x16bOp(transpose=False, num_matrices=4),
            element_type,
        )


@cute.jit
def warp_reduce(
    val: cute.TensorSSA | cute.Numeric,
    op: Callable,
    width: cutlass.Constexpr[int] = cute.arch.WARP_SIZE,
) -> cute.TensorSSA | cute.Numeric:
    if cutlass.const_expr(isinstance(val, cute.TensorSSA)):
        res = cute.make_fragment(val.shape, val.dtype)
        res.store(val)
        for i in cutlass.range_constexpr(cute.size(val.shape)):
            res[i] = warp_reduce(res[i], op, width)
        return res.load()
    else:
        for i in cutlass.range_constexpr(int(math.log2(width))):
            val = op(val, cute.arch.shuffle_sync_bfly(val, offset=1 << i))
    return val


def convert_layout_acc_mn(acc_layout: cute.Layout) -> cute.Layout:
    """
    For Sm80, convert ((2, 2), MMA_M, MMA_N, ...) to ((2, MMA_M), (2, MMA_N), ...).
    For Sm90, convert ((2, 2, V), MMA_M, MMA_N, ...) to ((2, MMA_M), (2, V, MMA_N), ...).
    """
    acc_layout_col_major = cute.make_layout(acc_layout.shape)
    acc_layout_mn = cute.make_layout(
        (
            (acc_layout_col_major.shape[0][1], acc_layout_col_major.shape[1]),  # MMA_M
            (
                acc_layout_col_major.shape[0][0],
                *acc_layout_col_major.shape[0][2:],
                acc_layout_col_major.shape[2],
            ),  # MMA_N
            *acc_layout_col_major.shape[3:],
        ),
        stride=(
            (acc_layout_col_major.stride[0][1], acc_layout_col_major.stride[1]),  # MMA_M
            (
                acc_layout_col_major.stride[0][0],
                *acc_layout_col_major.stride[0][2:],
                acc_layout_col_major.stride[2],
            ),  # MMA_N
            *acc_layout_col_major.stride[3:],
        ),
    )
    return cute.composition(acc_layout, acc_layout_mn)


def make_acc_tensor_mn_view(acc: cute.Tensor) -> cute.Tensor:
    return cute.make_tensor(acc.iterator, convert_layout_acc_mn(acc.layout))


@cute.jit
def convert_layout_acc_frgA(acc_layout: cute.Layout) -> cute.Layout:
    # For back to back gemm, convert layout of acc0 to gemm 1 accept layout.
    # For Sm80, as the mma instruction shape is 16x8x16, we need to convert from (4, MMA_M, MMA_N) to ((4, 2), MMA_M, MMA_N / 2)
    # For Sm90, FP16/BF16, convert acc_layout from ((2, 2, N / 8), MMA_M, MMA_N) to ((2, 2, 2), MMA_M, (N / 16, MMA_N))
    # TODO: Sm90 FP8
    if cutlass.const_expr(cute.rank(acc_layout.shape[0]) == 3):  # Sm90
        l = cute.logical_divide(
            acc_layout, ((None, None, 2), None, None)
        )  # ((2, 2, (2, N / 16)), MMA_M, MMA_N)
        rA_mma_view = cute.make_layout(
            (
                (l.shape[0][0], l.shape[0][1], l.shape[0][2][0]),
                l.shape[1],
                (l.shape[0][2][1], l.shape[2]),
            ),
            stride=(
                (l.stride[0][0], l.stride[0][1], l.stride[0][2][0]),
                l.stride[1],
                (l.stride[0][2][1], l.stride[2]),
            ),
        )
    else:  # Sm80
        # (4, MMA_M, MMA_N) -> (4, MMA_M, (2, MMA_N / 2))
        l = cute.logical_divide(acc_layout, (None, None, 2))
        rA_mma_view = cute.make_layout(
            (
                (l.shape[0], l.shape[2][0]),
                l.shape[1],
                l.shape[2][1],
            ),
            stride=(
                (l.stride[0], l.stride[2][0]),
                l.stride[1],
                l.stride[2][1],
            ),
        )
    return rA_mma_view


def transpose_view(a: cute.Tensor) -> cute.Tensor:
    """Transpose the first two dimensions of a tensor on smem."""
    shape = (a.shape[1], a.shape[0], *a.shape[2:])
    order = (1, 0, *range(2, cute.rank(a)))
    return cute.composition(a, cute.make_ordered_layout(shape, order=order))


@dsl_user_op
def exp2f_asm(a: float | Float32, *, loc=None, ip=None) -> Float32:
    return Float32(
        llvm.inline_asm(
            T.f32(),
            [Float32(a).ir_value(loc=loc, ip=ip)],
            "ex2.approx.ftz.f32 $0, $1;",
            "=f,f",
            has_side_effects=False,
            is_align_stack=False,
            asm_dialect=llvm.AsmDialect.AD_ATT,
        )
    )


@cute.jit
def exp2f(x: cute.TensorSSA | Float32) -> cute.TensorSSA | Float32:
    """exp2f calculation for both vector and scalar.
    :param x: input value
    :type x: cute.TensorSSA or Float32
    :return: exp2 value
    :rtype: cute.TensorSSA or Float32
    """
    if cutlass.const_expr(isinstance(x, cute.TensorSSA)):
        res = cute.make_fragment(x.shape, Float32)
        res.store(x)
        for i in cutlass.range_constexpr(cute.size(x.shape)):
            res[i] = cute.arch.exp2(res[i])
        return res.load()
    else:
        return cute.arch.exp2(x)


@dsl_user_op
def log2f(a: float | Float32, *, loc=None, ip=None) -> Float32:
    return Float32(
        llvm.inline_asm(
            T.f32(),
            [Float32(a).ir_value(loc=loc, ip=ip)],
            "lg2.approx.ftz.f32 $0, $1;",
            "=f,f",
            has_side_effects=False,
            is_align_stack=False,
            asm_dialect=llvm.AsmDialect.AD_ATT,
        )
    )

@dsl_user_op
def logf(a: float | Float32, *, loc=None, ip=None) -> Float32:
    return log2f(a, loc=loc, ip=ip) * math.log(2.0)


@dsl_user_op
def fmax(
    a: float | Float32, b: float | Float32, c: float | Float32 | None = None, *, loc=None, ip=None
) -> Float32:
    return Float32(
        nvvm.fmax(
            T.f32(),
            Float32(a).ir_value(loc=loc, ip=ip),
            Float32(b).ir_value(loc=loc, ip=ip),
            c=Float32(c).ir_value(loc=loc, ip=ip) if c is not None else None,
            loc=loc,
            ip=ip,
        )
    )


@cute.jit
def fmax_reduce(
    x: cute.TensorSSA, init_val: float | Float32 | None = None, arch: cutlass.Constexpr[int] = 80
) -> Float32:
    if cutlass.const_expr(arch < 100 or cute.size(x.shape) % 8 != 0):
        # if cutlass.const_expr(init_val is None):
        #     init_val = -cutlass.Float32.if
        # return x.reduce(cute.ReductionOp.MAX, init_val, 0)
        res = cute.make_fragment(x.shape, Float32)
        res.store(x)
        # local_max = [res[0], res[1]]
        # for i in cutlass.range_constexpr(2, cute.size(x.shape), 2):
        #     local_max[0] = fmax(local_max[0], res[i + 0])
        #     local_max[1] = fmax(local_max[1], res[i + 1])
        # local_max[0] = fmax(local_max[0], local_max[1])
        # return local_max[0] if cutlass.const_expr(init_val is None) else fmax(local_max[0], init_val)
        local_max = [res[0], res[1], res[2], res[3]]
        for i in cutlass.range_constexpr(4, cute.size(x.shape), 4):
            local_max[0] = fmax(local_max[0], res[i + 0])
            local_max[1] = fmax(local_max[1], res[i + 1])
            local_max[2] = fmax(local_max[2], res[i + 2])
            local_max[3] = fmax(local_max[3], res[i + 3])
        local_max[0] = fmax(local_max[0], local_max[1])
        local_max[2] = fmax(local_max[2], local_max[3])
        local_max[0] = fmax(local_max[0], local_max[2])
        return local_max[0] if cutlass.const_expr(init_val is None) else fmax(local_max[0], init_val)
    else:
        # [2025-06-15] x.reduce only seems to use 50% 3-input max and 50% 2-input max
        # We instead force the 3-input max.
        res = cute.make_fragment(x.shape, Float32)
        res.store(x)
        local_max = [
            fmax(init_val, res[0], res[1])
            if cutlass.const_expr(init_val is not None)
            else fmax(res[0], res[1]),
            fmax(res[2], res[3]),
            fmax(res[4], res[5]),
            fmax(res[6], res[7]),
        ]
        for i in cutlass.range_constexpr(8, cute.size(x.shape), 8):
            local_max[0] = fmax(local_max[0], res[i], res[i + 1])
            local_max[1] = fmax(local_max[1], res[i + 2], res[i + 3])
            local_max[2] = fmax(local_max[2], res[i + 4], res[i + 5])
            local_max[3] = fmax(local_max[3], res[i + 6], res[i + 7])
        local_max[0] = fmax(local_max[0], local_max[1])
        return fmax(local_max[0], local_max[2], local_max[3])


@cute.jit
def fadd_reduce(
    x: cute.TensorSSA, init_val: float | Float32 | None = None, arch: cutlass.Constexpr[int] = 80
) -> Float32:
    if cutlass.const_expr(arch < 100 or cute.size(x.shape) % 8 != 0):
        if cutlass.const_expr(init_val is None):
            init_val = Float32.zero
        return x.reduce(cute.ReductionOp.ADD, init_val, 0)
        # res = cute.make_fragment(x.shape, Float32)
        # res.store(x)
        # local_sum = [res[0], res[1], res[2], res[3]]
        # for i in cutlass.range_constexpr(4, cute.size(x.shape), 4):
        #     local_sum[0] += res[i + 0]
        #     local_sum[1] += res[i + 1]
        #     local_sum[2] += res[i + 2]
        #     local_sum[3] += res[i + 3]
        # local_sum[0] += local_sum[1]
        # local_sum[2] += local_sum[3]
        # local_sum[0] += local_sum[2]
        # return local_sum[0] if cutlass.const_expr(init_val is None) else local_sum[0] + init_val
    else:
        res = cute.make_fragment(x.shape, Float32)
        res.store(x)
        local_sum_0 = (
            cute.arch.add_packed_f32x2((init_val, 0.0), (res[0], res[1]))
            # cute.arch.add_packed_f32x2((init_val / 2, init_val / 2), (res[0], res[1]))
            if cutlass.const_expr(init_val is not None)
            else (res[0], res[1])
        )
        local_sum = [local_sum_0, (res[2], res[3]), (res[4], res[5]), (res[6], res[7])]
        for i in cutlass.range_constexpr(8, cute.size(x.shape), 8):
            local_sum[0] = cute.arch.add_packed_f32x2(local_sum[0], (res[i + 0], res[i + 1]))
            local_sum[1] = cute.arch.add_packed_f32x2(local_sum[1], (res[i + 2], res[i + 3]))
            local_sum[2] = cute.arch.add_packed_f32x2(local_sum[2], (res[i + 4], res[i + 5]))
            local_sum[3] = cute.arch.add_packed_f32x2(local_sum[3], (res[i + 6], res[i + 7]))
        local_sum[0] = cute.arch.add_packed_f32x2(local_sum[0], local_sum[1])
        local_sum[2] = cute.arch.add_packed_f32x2(local_sum[2], local_sum[3])
        local_sum[0] = cute.arch.add_packed_f32x2(local_sum[0], local_sum[2])
        return local_sum[0][0] + local_sum[0][1]


@dsl_user_op
def atomic_add_fp32(a: float | Float32, gmem_ptr: cute.Pointer, *, loc=None, ip=None) -> None:
    # gmem_ptr_i64 = gmem_ptr.toint(loc=loc, ip=ip).ir_value()
    # # cache_hint = cutlass.Int64(0x12F0000000000000)
    # llvm.inline_asm(
    #     None,
    #     [gmem_ptr_i64, Float32(a).ir_value(loc=loc, ip=ip)],
    #     # [gmem_ptr_i64, Float32(a).ir_value(loc=loc, ip=ip), cache_hint.ir_value()],
    #     "red.global.add.f32 [$0], $1;",
    #     # "red.global.add.L2::cache_hint.f32 [$0], $1, 0x12F0000000000000;",
    #     # "red.global.add.L2::cache_hint.f32 [$0], $1, $2;",
    #     "l,f",
    #     # "l,f,l",
    #     has_side_effects=True,
    #     is_align_stack=False,
    #     asm_dialect=llvm.AsmDialect.AD_ATT,
    # )
    nvvm.atomicrmw(
        res=T.f32(), op=nvvm.AtomicOpKind.FADD, ptr=gmem_ptr.llvm_ptr, a=Float32(a).ir_value()
    )


@dsl_user_op
def elem_pointer(x: cute.Tensor, coord: cute.Coord, *, loc=None, ip=None) -> cute.Pointer:
    return x.iterator + cute.crd2idx(coord, x.layout, loc=loc, ip=ip)


@dsl_user_op
def elem_pointer_i64(x: cute.Tensor, coord: cute.Coord, *, loc=None, ip=None) -> cute.Pointer:
    flat_coord_i64 = tuple(cutlass.Int64(c) for c in cute.flatten(coord))
    flat_stride = cute.flatten_to_tuple(x.stride)
    assert len(flat_coord_i64) == len(flat_stride), "Coordinate and stride must have the same length"
    offset = sum(c * s for c, s in zip(flat_coord_i64, flat_stride))
    return x.iterator + cute.crd2idx(coord, x.layout, loc=loc, ip=ip)


@cute.jit
def predicate_k(tAcA: cute.Tensor, limit: cutlass.Int32) -> cute.Tensor:
    # Only compute predicates for the "k" dimension. For the mn dimension, we will use "if"
    tApA = cute.make_fragment(
        cute.make_layout(
            (cute.size(tAcA, mode=[0, 1]), cute.size(tAcA, mode=[1]), cute.size(tAcA, mode=[2])),
            stride=(cute.size(tAcA, mode=[2]), 0, 1),
        ),
        cutlass.Boolean,
    )
    for rest_v in cutlass.range_constexpr(tApA.shape[0]):
        for rest_k in cutlass.range_constexpr(tApA.shape[2]):
            tApA[rest_v, 0, rest_k] = cute.elem_less(tAcA[(0, rest_v), 0, rest_k][1], limit)
    return tApA


@dsl_user_op
def cp_async_mbarrier_arrive_shared(
    mbar_ptr: cute.Pointer, noinc: bool = False, *, loc=None, ip=None
) -> None:
    nvvm.cp_async_mbarrier_arrive_shared(
        mbar_ptr.llvm_ptr,
        noinc=noinc,
        loc=loc,
        ip=ip,
    )


def canonical_warp_group_idx(sync: bool = True) -> cutlass.Int32:
    warp_group_idx = cute.arch.thread_idx()[0] // 128
    if cutlass.const_expr(sync):
        warp_group_idx = cute.arch.make_warp_uniform(warp_group_idx)
    return warp_group_idx


# @dsl_user_op
# def warp_vote_any_lt(a: float | Float32, b: float | Float32, *, loc=None, ip=None) -> cutlass.Boolean:
#     mask = cutlass.Int32(-1)
#     return cutlass.Boolean(
#         llvm.inline_asm(
#             T.i32(),
#             [Float32(a).ir_value(loc=loc, ip=ip), Float32(b).ir_value(loc=loc, ip=ip), mask.ir_value(loc=loc, ip=ip)],
#             ".pred p1, p2;\n"
#             "setp.lt.f32 p1, $1, $2;\n"
#             "vote.sync.any.pred p2, p1, $3;\n"
#             "selp.u32 $0, 1, 0, p2;",
#             # "selp.u32 $0, 1, 0, p1;",
#             "=r,f,f,r",
#             has_side_effects=False,
#             is_align_stack=False,
#             asm_dialect=llvm.AsmDialect.AD_ATT,
#         )
#     )


@cute.jit
def shuffle_sync(
    value: cute.Numeric,
    offset: cute.typing.Int,
    width: cutlass.Constexpr[int] = cute.arch.WARP_SIZE,
) -> cute.Numeric:
    assert value.width % 32 == 0, "value type must be a multiple of 32 bits"
    # 1 -> 0b11111, 2 -> 0b11110, 4 -> 0b11100, 8 -> 0b11000, 16 -> 0b10000, 32 -> 0b00000
    mask = cute.arch.WARP_SIZE - width
    clamp = cute.arch.WARP_SIZE - 1
    mask_and_clamp = mask << 8 | clamp
    val = cute.make_fragment(1, type(value))
    val[0] = value
    val_i32 = cute.recast_tensor(val, cutlass.Int32)
    for i in cutlass.range_constexpr(cute.size(val_i32)):
        val_i32[i] = cute.arch.shuffle_sync(val_i32[i], offset, mask_and_clamp=mask_and_clamp)
    return val[0]


@dsl_user_op
def shr_u32(val: cutlass.Uint32, shift: cutlass.Uint32, *, loc=None, ip=None) -> cutlass.Uint32:
    return cutlass.Uint32(
        llvm.inline_asm(
            T.i32(),
            [cutlass.Uint32(val).ir_value(loc=loc, ip=ip), cutlass.Uint32(shift).ir_value(loc=loc, ip=ip)],
            "shr.s32 $0, $1, $2;",
            "=r,r,r",
            has_side_effects=False,
            is_align_stack=False,
            asm_dialect=llvm.AsmDialect.AD_ATT,
        )
    )


@cute.jit
def warp_prefix_sum(val: cutlass.Int32, lane: Optional[cutlass.Int32] = None) -> cutlass.Int32:
    if cutlass.const_expr(lane is None):
        lane = cute.arch.lane_idx()
    # if cute.arch.thread_idx()[0] >= 128 and cute.arch.thread_idx()[0] < 128 + 32 and cute.arch.block_idx()[0] == 0: cute.printf("tidx = %d, val = %d", cute.arch.thread_idx()[0] % 32, val)
    for i in cutlass.range_constexpr(int(math.log2(cute.arch.WARP_SIZE))):
        offset = 1 << i
        # Very important that we set mask_and_clamp to 0
        partial_sum = cute.arch.shuffle_sync_up(val, offset=offset, mask_and_clamp=0)
        if lane >= offset:
            val += partial_sum
        # if cute.arch.thread_idx()[0] >= 128 and cute.arch.thread_idx()[0] < 128 + 32 and cute.arch.block_idx()[0] == 0: cute.printf("tidx = %d, partial_sum = %d, val = %d", cute.arch.thread_idx()[0] % 32, partial_sum, val)
    return val


@dsl_user_op
def cvt_f16x2_f32(a: float | Float32, b: float | Float32, to_dtype: Type, *, loc=None, ip=None) -> cutlass.Int32:
    assert to_dtype in [cutlass.BFloat16, cutlass.Float16], "to_dtype must be BFloat16 or Float16"
    return cutlass.Int32(
        llvm.inline_asm(
            T.i32(),
            [Float32(a).ir_value(loc=loc, ip=ip), Float32(b).ir_value(loc=loc, ip=ip)],
            f"cvt.rn.{'bf16x2' if to_dtype is cutlass.BFloat16 else 'f16x2'}.f32 $0, $2, $1;",
            "=r,f,f",
            has_side_effects=False,
            is_align_stack=False,
            asm_dialect=llvm.AsmDialect.AD_ATT,
        )
    )


@cute.jit
def cvt_f16(src: cute.Tensor, dst: cute.Tensor):
    assert cute.size(dst.shape) == cute.size(src.shape), "dst and src must have the same size"
    assert cute.size(src.shape) % 2 == 0, "src must have an even number of elements"
    assert dst.element_type in [cutlass.BFloat16, cutlass.Float16], "dst must be BFloat16 or Float16"
    assert src.element_type is Float32, "src must be Float32"
    dst_i32 = cute.recast_tensor(dst, cutlass.Int32)
    assert cute.size(dst_i32.shape) * 2 == cute.size(src.shape)
    for i in cutlass.range_constexpr(cute.size(dst_i32)):
        dst_i32[i] = cvt_f16x2_f32(src[2 * i], src[2 * i + 1], dst.element_type)


@dsl_user_op
def e2e_asm2(x: Float32, y: Float32, *, loc=None, ip=None) -> Tuple[Float32, Float32]:
    out_f32x2 = llvm.inline_asm(
        llvm.StructType.get_literal([T.f32(), T.f32()]),
        [Float32(x).ir_value(loc=loc, ip=ip), Float32(y, loc=loc, ip=ip).ir_value()],
        "{\n\t"
        ".reg .f32 f1, f2, f3, f4, f5, f6, f7;\n\t"
        ".reg .b64 l1, l2, l3, l4, l5, l6, l7, l8, l9, l10;\n\t"
        ".reg .s32 r1, r2, r3, r4, r5, r6, r7, r8;\n\t"
        "max.ftz.f32 f1, $2, 0fC2FE0000;\n\t"
        "max.ftz.f32 f2, $3, 0fC2FE0000;\n\t"
        "mov.b64 l1, {f1, f2};\n\t"
        "mov.f32 f3, 0f4B400000;\n\t"
        "mov.b64 l2, {f3, f3};\n\t"
        "add.rm.ftz.f32x2 l7, l1, l2;\n\t"
        "sub.rn.ftz.f32x2 l8, l7, l2;\n\t"
        "sub.rn.ftz.f32x2 l9, l1, l8;\n\t"
        "mov.f32 f7, 0f3D9DF09D;\n\t"
        "mov.b64 l6, {f7, f7};\n\t"
        "mov.f32 f6, 0f3E6906A4;\n\t"
        "mov.b64 l5, {f6, f6};\n\t"
        "mov.f32 f5, 0f3F31F519;\n\t"
        "mov.b64 l4, {f5, f5};\n\t"
        "mov.f32 f4, 0f3F800000;\n\t"
        "mov.b64 l3, {f4, f4};\n\t"
        "fma.rn.ftz.f32x2 l10, l9, l6, l5;\n\t"
        "fma.rn.ftz.f32x2 l10, l10, l9, l4;\n\t"
        "fma.rn.ftz.f32x2 l10, l10, l9, l3;\n\t"
        "mov.b64 {r1, r2}, l7;\n\t"
        "mov.b64 {r3, r4}, l10;\n\t"
        "shl.b32 r5, r1, 23;\n\t"
        "add.s32 r7, r5, r3;\n\t"
        "shl.b32 r6, r2, 23;\n\t"
        "add.s32 r8, r6, r4;\n\t"
        "mov.b32 $0, r7;\n\t"
        "mov.b32 $1, r8;\n\t"
        "}\n",
        "=r,=r,f,f",
        has_side_effects=False,
        is_align_stack=False,
        asm_dialect=llvm.AsmDialect.AD_ATT,
    )
    out0 = Float32(llvm.extractvalue(T.f32(), out_f32x2, [0], loc=loc, ip=ip))
    out1 = Float32(llvm.extractvalue(T.f32(), out_f32x2, [1], loc=loc, ip=ip))
    return out0, out1
@dsl_user_op
def domain_offset_aligned(coord: cute.Coord, tensor: cute.Tensor, *, loc=None, ip=None) -> cute.Tensor:
    assert isinstance(tensor.iterator, cute.Pointer)
    # We assume that applying the offset does not change the pointer alignment
    new_ptr = cute.make_ptr(
        tensor.element_type,
        elem_pointer(tensor, coord).toint(),
        tensor.memspace,
        assumed_align=tensor.iterator.alignment,
    )
    return cute.make_tensor(new_ptr, tensor.layout)


@dsl_user_op
def domain_offset_i64(coord: cute.Coord, tensor: cute.Tensor, *, loc=None, ip=None) -> cute.Tensor:
    flat_coord_i64 = tuple(cutlass.Int64(c) for c in cute.flatten(coord))
    flat_stride = cute.flatten_to_tuple(tensor.stride)
    assert len(flat_coord_i64) == len(
        flat_stride
    ), "Coordinate and stride must have the same length"
    offset = sum(c * s for c, s in zip(flat_coord_i64, flat_stride))
    assert isinstance(tensor.iterator, cute.Pointer)
    # HACK: we assume that applying the offset does not change the pointer alignment
    new_ptr = cute.make_ptr(
        tensor.element_type,
        tensor.iterator.toint() + offset * tensor.element_type.width // 8,
        tensor.memspace,
        assumed_align=tensor.iterator.max_alignment,
    )
    return cute.make_tensor(new_ptr, tensor.layout)


@dsl_user_op
def coord_offset_i64(
    tensor: cute.Tensor, idx: cute.typing.Int, dim: int, *, loc=None, ip=None
) -> cute.Tensor:
    offset = cutlass.Int64(idx) * cute.size(tensor.stride[dim])
    assert isinstance(tensor.iterator, cute.Pointer)
    # HACK: we assume that applying the offset does not change the pointer alignment
    new_ptr = cute.make_ptr(
        tensor.element_type,
        tensor.iterator.toint() + offset * tensor.element_type.width // 8,
        tensor.memspace,
        assumed_align=tensor.iterator.max_alignment,
    )
    new_layout = cute.slice_(tensor.layout, (*[None] * dim, 0, *[None] * (cute.rank(tensor) - dim - 1)))
    return cute.make_tensor(new_ptr, new_layout)