zZzzZ. — /usr/include/hwy/ops

Editing: generic_ops-inl.h

// Copyright 2021 Google LLC
// Copyright 2023,2024 Arm Limited and/or
// its affiliates <open-source-office@arm.com>
// SPDX-License-Identifier: Apache-2.0
// SPDX-License-Identifier: BSD-3-Clause
//
// Licensed under the Apache License, Version 2.0 (the "License");
// you may not use this file except in compliance with the License.
// You may obtain a copy of the License at
//
//      http://www.apache.org/licenses/LICENSE-2.0
//
// Unless required by applicable law or agreed to in writing, software
// distributed under the License is distributed on an "AS IS" BASIS,
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
// See the License for the specific language governing permissions and
// limitations under the License.

// Target-independent types/functions defined after target-specific ops.

// The "include guards" in this file that check HWY_TARGET_TOGGLE serve to skip
// the generic implementation here if native ops are already defined.

#include "hwy/base.h"

// Define detail::Shuffle1230 etc, but only when viewing the current header;
// normally this is included via highway.h, which includes ops/*.h.
#if HWY_IDE && !defined(HWY_HIGHWAY_INCLUDED)
#include "hwy/detect_targets.h"
#include "hwy/ops/emu128-inl.h"
#endif  // HWY_IDE

// Relies on the external include guard in highway.h.
HWY_BEFORE_NAMESPACE();
namespace hwy {
namespace HWY_NAMESPACE {

// The lane type of a vector type, e.g. float for Vec<ScalableTag<float>>.
template <class V>
using LaneType = decltype(GetLane(V()));

// Vector type, e.g. Vec128<float> for CappedTag<float, 4>. Useful as the return
// type of functions that do not take a vector argument, or as an argument type
// if the function only has a template argument for D, or for explicit type
// names instead of auto. This may be a built-in type.
template <class D>
using Vec = decltype(Zero(D()));

// Mask type. Useful as the return type of functions that do not take a mask
// argument, or as an argument type if the function only has a template argument
// for D, or for explicit type names instead of auto.
template <class D>
using Mask = decltype(MaskFromVec(Zero(D())));

// Returns the closest value to v within [lo, hi].
template <class V>
HWY_API V Clamp(const V v, const V lo, const V hi) {
  return Min(Max(lo, v), hi);
}

// CombineShiftRightBytes (and -Lanes) are not available for the scalar target,
// and RVV has its own implementation of -Lanes.
#if (HWY_TARGET != HWY_SCALAR && HWY_TARGET != HWY_RVV) || HWY_IDE

template <size_t kLanes, class D>
HWY_API VFromD<D> CombineShiftRightLanes(D d, VFromD<D> hi, VFromD<D> lo) {
  constexpr size_t kBytes = kLanes * sizeof(TFromD<D>);
  static_assert(kBytes < 16, "Shift count is per-block");
  return CombineShiftRightBytes<kBytes>(d, hi, lo);
}

#endif

// Returns lanes with the most significant bit set and all other bits zero.
template <class D>
HWY_API Vec<D> SignBit(D d) {
  const RebindToUnsigned<decltype(d)> du;
  return BitCast(d, Set(du, SignMask<TFromD<D>>()));
}

// Returns quiet NaN.
template <class D>
HWY_API Vec<D> NaN(D d) {
  const RebindToSigned<D> di;
  // LimitsMax sets all exponent and mantissa bits to 1. The exponent plus
  // mantissa MSB (to indicate quiet) would be sufficient.
  return BitCast(d, Set(di, LimitsMax<TFromD<decltype(di)>>()));
}

// Returns positive infinity.
template <class D>
HWY_API Vec<D> Inf(D d) {
  const RebindToUnsigned<D> du;
  using T = TFromD<D>;
  using TU = TFromD<decltype(du)>;
  const TU max_x2 = static_cast<TU>(MaxExponentTimes2<T>());
  return BitCast(d, Set(du, max_x2 >> 1));
}

// ------------------------------ MaskedSetOr/MaskedSet

template <class V, typename T = TFromV<V>, typename D = DFromV<V>,
          typename M = MFromD<D>>
HWY_API V MaskedSetOr(V no, M m, T a) {
  D d;
  return IfThenElse(m, Set(d, a), no);
}

template <class D, typename V = VFromD<D>, typename M = MFromD<D>,
          typename T = TFromD<D>>
HWY_API V MaskedSet(D d, M m, T a) {
  return IfThenElseZero(m, Set(d, a));
}

// ------------------------------ ZeroExtendResizeBitCast

// The implementation of detail::ZeroExtendResizeBitCast for the HWY_EMU128
// target is in emu128-inl.h, and the implementation of
// detail::ZeroExtendResizeBitCast for the HWY_SCALAR target is in scalar-inl.h
#if HWY_TARGET != HWY_EMU128 && HWY_TARGET != HWY_SCALAR
namespace detail {

#if HWY_HAVE_SCALABLE
template <size_t kFromVectSize, size_t kToVectSize, class DTo, class DFrom>
HWY_INLINE VFromD<DTo> ZeroExtendResizeBitCast(
    hwy::SizeTag<kFromVectSize> /* from_size_tag */,
    hwy::SizeTag<kToVectSize> /* to_size_tag */, DTo d_to, DFrom d_from,
    VFromD<DFrom> v) {
  const Repartition<uint8_t, DTo> d_to_u8;
  const auto resized = ResizeBitCast(d_to_u8, v);
  // Zero the upper bytes which were not present/valid in d_from.
  const size_t num_bytes = Lanes(Repartition<uint8_t, decltype(d_from)>());
  return BitCast(d_to, IfThenElseZero(FirstN(d_to_u8, num_bytes), resized));
}
#else   // target that uses fixed-size vectors
// Truncating or same-size resizing cast: same as ResizeBitCast
template <size_t kFromVectSize, size_t kToVectSize, class DTo, class DFrom,
          HWY_IF_LANES_LE(kToVectSize, kFromVectSize)>
HWY_INLINE VFromD<DTo> ZeroExtendResizeBitCast(
    hwy::SizeTag<kFromVectSize> /* from_size_tag */,
    hwy::SizeTag<kToVectSize> /* to_size_tag */, DTo d_to, DFrom /*d_from*/,
    VFromD<DFrom> v) {
  return ResizeBitCast(d_to, v);
}

// Resizing cast to vector that has twice the number of lanes of the source
// vector
template <size_t kFromVectSize, size_t kToVectSize, class DTo, class DFrom,
          HWY_IF_LANES(kToVectSize, kFromVectSize * 2)>
HWY_INLINE VFromD<DTo> ZeroExtendResizeBitCast(
    hwy::SizeTag<kFromVectSize> /* from_size_tag */,
    hwy::SizeTag<kToVectSize> /* to_size_tag */, DTo d_to, DFrom d_from,
    VFromD<DFrom> v) {
  const Twice<decltype(d_from)> dt_from;
  return BitCast(d_to, ZeroExtendVector(dt_from, v));
}

// Resizing cast to vector that has more than twice the number of lanes of the
// source vector
template <size_t kFromVectSize, size_t kToVectSize, class DTo, class DFrom,
          HWY_IF_LANES_GT(kToVectSize, kFromVectSize * 2)>
HWY_INLINE VFromD<DTo> ZeroExtendResizeBitCast(
    hwy::SizeTag<kFromVectSize> /* from_size_tag */,
    hwy::SizeTag<kToVectSize> /* to_size_tag */, DTo d_to, DFrom /*d_from*/,
    VFromD<DFrom> v) {
  using TFrom = TFromD<DFrom>;
  constexpr size_t kNumOfFromLanes = kFromVectSize / sizeof(TFrom);
  const Repartition<TFrom, decltype(d_to)> d_resize_to;
  return BitCast(d_to, IfThenElseZero(FirstN(d_resize_to, kNumOfFromLanes),
                                      ResizeBitCast(d_resize_to, v)));
}
#endif  // HWY_HAVE_SCALABLE

}  // namespace detail
#endif  // HWY_TARGET != HWY_EMU128 && HWY_TARGET != HWY_SCALAR

template <class DTo, class DFrom>
HWY_API VFromD<DTo> ZeroExtendResizeBitCast(DTo d_to, DFrom d_from,
                                            VFromD<DFrom> v) {
  return detail::ZeroExtendResizeBitCast(hwy::SizeTag<d_from.MaxBytes()>(),
                                         hwy::SizeTag<d_to.MaxBytes()>(), d_to,
                                         d_from, v);
}

// ------------------------------ SafeFillN

template <class D, typename T = TFromD<D>>
HWY_API void SafeFillN(const size_t num, const T value, D d,
                       T* HWY_RESTRICT to) {
#if HWY_MEM_OPS_MIGHT_FAULT
  (void)d;
  for (size_t i = 0; i < num; ++i) {
    to[i] = value;
  }
#else
  BlendedStore(Set(d, value), FirstN(d, num), d, to);
#endif
}

// ------------------------------ SafeCopyN

template <class D, typename T = TFromD<D>>
HWY_API void SafeCopyN(const size_t num, D d, const T* HWY_RESTRICT from,
                       T* HWY_RESTRICT to) {
#if HWY_MEM_OPS_MIGHT_FAULT
  (void)d;
  for (size_t i = 0; i < num; ++i) {
    to[i] = from[i];
  }
#else
  const Mask<D> mask = FirstN(d, num);
  BlendedStore(MaskedLoad(mask, d, from), mask, d, to);
#endif
}

// ------------------------------ IsNegative
#if (defined(HWY_NATIVE_IS_NEGATIVE) == defined(HWY_TARGET_TOGGLE))
#ifdef HWY_NATIVE_IS_NEGATIVE
#undef HWY_NATIVE_IS_NEGATIVE
#else
#define HWY_NATIVE_IS_NEGATIVE
#endif

template <class V, HWY_IF_NOT_UNSIGNED_V(V)>
HWY_API Mask<DFromV<V>> IsNegative(V v) {
  const DFromV<decltype(v)> d;
  const RebindToSigned<decltype(d)> di;
  return RebindMask(d, MaskFromVec(BroadcastSignBit(BitCast(di, v))));
}

#endif  // HWY_NATIVE_IS_NEGATIVE

// ------------------------------ MaskFalse
#if (defined(HWY_NATIVE_MASK_FALSE) == defined(HWY_TARGET_TOGGLE))
#ifdef HWY_NATIVE_MASK_FALSE
#undef HWY_NATIVE_MASK_FALSE
#else
#define HWY_NATIVE_MASK_FALSE
#endif

template <class D>
HWY_API Mask<D> MaskFalse(D d) {
  return MaskFromVec(Zero(d));
}

#endif  // HWY_NATIVE_MASK_FALSE

// ------------------------------ IfNegativeThenElseZero
#if (defined(HWY_NATIVE_IF_NEG_THEN_ELSE_ZERO) == defined(HWY_TARGET_TOGGLE))
#ifdef HWY_NATIVE_IF_NEG_THEN_ELSE_ZERO
#undef HWY_NATIVE_IF_NEG_THEN_ELSE_ZERO
#else
#define HWY_NATIVE_IF_NEG_THEN_ELSE_ZERO
#endif

template <class V, HWY_IF_NOT_UNSIGNED_V(V)>
HWY_API V IfNegativeThenElseZero(V v, V yes) {
  return IfThenElseZero(IsNegative(v), yes);
}

#endif  // HWY_NATIVE_IF_NEG_THEN_ELSE_ZERO

// ------------------------------ IfNegativeThenZeroElse
#if (defined(HWY_NATIVE_IF_NEG_THEN_ZERO_ELSE) == defined(HWY_TARGET_TOGGLE))
#ifdef HWY_NATIVE_IF_NEG_THEN_ZERO_ELSE
#undef HWY_NATIVE_IF_NEG_THEN_ZERO_ELSE
#else
#define HWY_NATIVE_IF_NEG_THEN_ZERO_ELSE
#endif

template <class V, HWY_IF_NOT_UNSIGNED_V(V)>
HWY_API V IfNegativeThenZeroElse(V v, V no) {
  return IfThenZeroElse(IsNegative(v), no);
}

#endif  // HWY_NATIVE_IF_NEG_THEN_ZERO_ELSE

// ------------------------------ ZeroIfNegative (IfNegativeThenZeroElse)

// ZeroIfNegative is generic for all vector lengths
template <class V, HWY_IF_NOT_UNSIGNED_V(V)>
HWY_API V ZeroIfNegative(V v) {
  return IfNegativeThenZeroElse(v, v);
}

// ------------------------------ BitwiseIfThenElse
#if (defined(HWY_NATIVE_BITWISE_IF_THEN_ELSE) == defined(HWY_TARGET_TOGGLE))
#ifdef HWY_NATIVE_BITWISE_IF_THEN_ELSE
#undef HWY_NATIVE_BITWISE_IF_THEN_ELSE
#else
#define HWY_NATIVE_BITWISE_IF_THEN_ELSE
#endif

template <class V>
HWY_API V BitwiseIfThenElse(V mask, V yes, V no) {
  return Or(And(mask, yes), AndNot(mask, no));
}

#endif  // HWY_NATIVE_BITWISE_IF_THEN_ELSE

// ------------------------------ PromoteMaskTo

#if (defined(HWY_NATIVE_PROMOTE_MASK_TO) == defined(HWY_TARGET_TOGGLE))
#ifdef HWY_NATIVE_PROMOTE_MASK_TO
#undef HWY_NATIVE_PROMOTE_MASK_TO
#else
#define HWY_NATIVE_PROMOTE_MASK_TO
#endif

template <class DTo, class DFrom>
HWY_API Mask<DTo> PromoteMaskTo(DTo d_to, DFrom d_from, Mask<DFrom> m) {
  static_assert(
      sizeof(TFromD<DTo>) > sizeof(TFromD<DFrom>),
      "sizeof(TFromD<DTo>) must be greater than sizeof(TFromD<DFrom>)");
  static_assert(
      IsSame<Mask<DFrom>, Mask<Rebind<TFromD<DFrom>, DTo>>>(),
      "Mask<DFrom> must be the same type as Mask<Rebind<TFromD<DFrom>, DTo>>");

const RebindToSigned<decltype(d_to)> di_to;
  const RebindToSigned<decltype(d_from)> di_from;

return MaskFromVec(BitCast(
      d_to, PromoteTo(di_to, BitCast(di_from, VecFromMask(d_from, m)))));
}

#endif  // HWY_NATIVE_PROMOTE_MASK_TO

// ------------------------------ DemoteMaskTo

#if (defined(HWY_NATIVE_DEMOTE_MASK_TO) == defined(HWY_TARGET_TOGGLE))
#ifdef HWY_NATIVE_DEMOTE_MASK_TO
#undef HWY_NATIVE_DEMOTE_MASK_TO
#else
#define HWY_NATIVE_DEMOTE_MASK_TO
#endif

template <class DTo, class DFrom>
HWY_API Mask<DTo> DemoteMaskTo(DTo d_to, DFrom d_from, Mask<DFrom> m) {
  static_assert(sizeof(TFromD<DTo>) < sizeof(TFromD<DFrom>),
                "sizeof(TFromD<DTo>) must be less than sizeof(TFromD<DFrom>)");
  static_assert(
      IsSame<Mask<DFrom>, Mask<Rebind<TFromD<DFrom>, DTo>>>(),
      "Mask<DFrom> must be the same type as Mask<Rebind<TFromD<DFrom>, DTo>>");

const RebindToSigned<decltype(d_to)> di_to;
  const RebindToSigned<decltype(d_from)> di_from;

return MaskFromVec(
      BitCast(d_to, DemoteTo(di_to, BitCast(di_from, VecFromMask(d_from, m)))));
}

#endif  // HWY_NATIVE_DEMOTE_MASK_TO

// ------------------------------ InsertIntoUpper
#if (defined(HWY_NATIVE_LOAD_HIGHER) == defined(HWY_TARGET_TOGGLE))
#ifdef HWY_NATIVE_LOAD_HIGHER
#undef HWY_NATIVE_LOAD_HIGHER
#else
#define HWY_NATIVE_LOAD_HIGHER
#endif
template <class D, typename T, class V = VFromD<D>(), HWY_IF_LANES_GT_D(D, 1),
          HWY_IF_POW2_GT_D(D, -3)>
HWY_API V InsertIntoUpper(D d, T* p, V a) {
  Half<D> dh;
  const VFromD<decltype(dh)> b = LoadU(dh, p);
  return Combine(d, b, LowerHalf(a));
}
#endif  // HWY_NATIVE_LOAD_HIGHER

// ------------------------------ CombineMasks

#if (defined(HWY_NATIVE_COMBINE_MASKS) == defined(HWY_TARGET_TOGGLE))
#ifdef HWY_NATIVE_COMBINE_MASKS
#undef HWY_NATIVE_COMBINE_MASKS
#else
#define HWY_NATIVE_COMBINE_MASKS
#endif

#if HWY_TARGET != HWY_SCALAR || HWY_IDE
template <class D>
HWY_API Mask<D> CombineMasks(D d, Mask<Half<D>> hi, Mask<Half<D>> lo) {
  const Half<decltype(d)> dh;
  return MaskFromVec(Combine(d, VecFromMask(dh, hi), VecFromMask(dh, lo)));
}
#endif

#endif  // HWY_NATIVE_COMBINE_MASKS

// ------------------------------ LowerHalfOfMask

#if (defined(HWY_NATIVE_LOWER_HALF_OF_MASK) == defined(HWY_TARGET_TOGGLE))
#ifdef HWY_NATIVE_LOWER_HALF_OF_MASK
#undef HWY_NATIVE_LOWER_HALF_OF_MASK
#else
#define HWY_NATIVE_LOWER_HALF_OF_MASK
#endif

template <class D>
HWY_API Mask<D> LowerHalfOfMask(D d, Mask<Twice<D>> m) {
  const Twice<decltype(d)> dt;
  return MaskFromVec(LowerHalf(d, VecFromMask(dt, m)));
}

#endif  // HWY_NATIVE_LOWER_HALF_OF_MASK

// ------------------------------ UpperHalfOfMask

#if (defined(HWY_NATIVE_UPPER_HALF_OF_MASK) == defined(HWY_TARGET_TOGGLE))
#ifdef HWY_NATIVE_UPPER_HALF_OF_MASK
#undef HWY_NATIVE_UPPER_HALF_OF_MASK
#else
#define HWY_NATIVE_UPPER_HALF_OF_MASK
#endif

#if HWY_TARGET != HWY_SCALAR || HWY_IDE
template <class D>
HWY_API Mask<D> UpperHalfOfMask(D d, Mask<Twice<D>> m) {
  const Twice<decltype(d)> dt;
  return MaskFromVec(UpperHalf(d, VecFromMask(dt, m)));
}
#endif

#endif  // HWY_NATIVE_UPPER_HALF_OF_MASK

// ------------------------------ OrderedDemote2MasksTo

#if (defined(HWY_NATIVE_ORDERED_DEMOTE_2_MASKS_TO) == \
     defined(HWY_TARGET_TOGGLE))
#ifdef HWY_NATIVE_ORDERED_DEMOTE_2_MASKS_TO
#undef HWY_NATIVE_ORDERED_DEMOTE_2_MASKS_TO
#else
#define HWY_NATIVE_ORDERED_DEMOTE_2_MASKS_TO
#endif

#if HWY_TARGET != HWY_SCALAR || HWY_IDE
template <class DTo, class DFrom>
HWY_API Mask<DTo> OrderedDemote2MasksTo(DTo d_to, DFrom d_from, Mask<DFrom> a,
                                        Mask<DFrom> b) {
  static_assert(
      sizeof(TFromD<DTo>) == sizeof(TFromD<DFrom>) / 2,
      "sizeof(TFromD<DTo>) must be equal to sizeof(TFromD<DFrom>) / 2");
  static_assert(IsSame<Mask<DTo>, Mask<Repartition<TFromD<DTo>, DFrom>>>(),
                "Mask<DTo> must be the same type as "
                "Mask<Repartition<TFromD<DTo>, DFrom>>>()");

const RebindToSigned<decltype(d_from)> di_from;
  const RebindToSigned<decltype(d_to)> di_to;

const auto va = BitCast(di_from, VecFromMask(d_from, a));
  const auto vb = BitCast(di_from, VecFromMask(d_from, b));
  return MaskFromVec(BitCast(d_to, OrderedDemote2To(di_to, va, vb)));
}
#endif

#endif  // HWY_NATIVE_ORDERED_DEMOTE_2_MASKS_TO

// ------------------------------ RotateLeft
template <int kBits, class V, HWY_IF_NOT_FLOAT_NOR_SPECIAL_V(V)>
HWY_API V RotateLeft(V v) {
  constexpr size_t kSizeInBits = sizeof(TFromV<V>) * 8;
  static_assert(0 <= kBits && kBits < kSizeInBits, "Invalid shift count");

constexpr int kRotateRightAmt =
      (kBits == 0) ? 0 : static_cast<int>(kSizeInBits) - kBits;
  return RotateRight<kRotateRightAmt>(v);
}

// ------------------------------ InterleaveWholeLower/InterleaveWholeUpper
#if (defined(HWY_NATIVE_INTERLEAVE_WHOLE) == defined(HWY_TARGET_TOGGLE))
#ifdef HWY_NATIVE_INTERLEAVE_WHOLE
#undef HWY_NATIVE_INTERLEAVE_WHOLE
#else
#define HWY_NATIVE_INTERLEAVE_WHOLE
#endif

#if HWY_TARGET != HWY_SCALAR || HWY_IDE
template <class D, HWY_IF_V_SIZE_LE_D(D, 16)>
HWY_API VFromD<D> InterleaveWholeLower(D d, VFromD<D> a, VFromD<D> b) {
  // InterleaveWholeLower(d, a, b) is equivalent to InterleaveLower(a, b) if
  // D().MaxBytes() <= 16 is true
  return InterleaveLower(d, a, b);
}
template <class D, HWY_IF_V_SIZE_LE_D(D, 16)>
HWY_API VFromD<D> InterleaveWholeUpper(D d, VFromD<D> a, VFromD<D> b) {
  // InterleaveWholeUpper(d, a, b) is equivalent to InterleaveUpper(a, b) if
  // D().MaxBytes() <= 16 is true
  return InterleaveUpper(d, a, b);
}

// InterleaveWholeLower/InterleaveWholeUpper for 32-byte vectors on AVX2/AVX3
// is implemented in x86_256-inl.h.

// InterleaveWholeLower/InterleaveWholeUpper for 64-byte vectors on AVX3 is
// implemented in x86_512-inl.h.

// InterleaveWholeLower/InterleaveWholeUpper for 32-byte vectors on WASM_EMU256
// is implemented in wasm_256-inl.h.
#endif  // HWY_TARGET != HWY_SCALAR

#endif  // HWY_NATIVE_INTERLEAVE_WHOLE

#if HWY_TARGET != HWY_SCALAR || HWY_IDE
// The InterleaveWholeLower without the optional D parameter is generic for all
// vector lengths.
template <class V>
HWY_API V InterleaveWholeLower(V a, V b) {
  return InterleaveWholeLower(DFromV<V>(), a, b);
}
#endif  // HWY_TARGET != HWY_SCALAR

// ------------------------------ InterleaveEven

#if HWY_TARGET != HWY_SCALAR || HWY_IDE
// InterleaveEven without the optional D parameter is generic for all vector
// lengths
template <class V>
HWY_API V InterleaveEven(V a, V b) {
  return InterleaveEven(DFromV<V>(), a, b);
}
#endif

// ------------------------------ MinNumber/MaxNumber

#if (defined(HWY_NATIVE_FLOAT_MIN_MAX_NUMBER) == defined(HWY_TARGET_TOGGLE))
#ifdef HWY_NATIVE_FLOAT_MIN_MAX_NUMBER
#undef HWY_NATIVE_FLOAT_MIN_MAX_NUMBER
#else
#define HWY_NATIVE_FLOAT_MIN_MAX_NUMBER
#endif

template <class V, HWY_IF_FLOAT_OR_SPECIAL_V(V)>
HWY_API V MinNumber(V a, V b) {
  return Min(a, b);
}

template <class V, HWY_IF_FLOAT_OR_SPECIAL_V(V)>
HWY_API V MaxNumber(V a, V b) {
  return Max(a, b);
}

#endif

template <class V, HWY_IF_NOT_FLOAT_NOR_SPECIAL_V(V)>
HWY_API V MinNumber(V a, V b) {
  return Min(a, b);
}

template <class V, HWY_IF_NOT_FLOAT_NOR_SPECIAL_V(V)>
HWY_API V MaxNumber(V a, V b) {
  return Max(a, b);
}

// ------------------------------ MinMagnitude/MaxMagnitude

#if (defined(HWY_NATIVE_FLOAT_MIN_MAX_MAGNITUDE) == defined(HWY_TARGET_TOGGLE))
#ifdef HWY_NATIVE_FLOAT_MIN_MAX_MAGNITUDE
#undef HWY_NATIVE_FLOAT_MIN_MAX_MAGNITUDE
#else
#define HWY_NATIVE_FLOAT_MIN_MAX_MAGNITUDE
#endif

template <class V, HWY_IF_FLOAT_OR_SPECIAL_V(V)>
HWY_API V MinMagnitude(V a, V b) {
  const V abs_a = Abs(a);
  const V abs_b = Abs(b);
  const V min = Min(IfThenElse(Eq(abs_a, abs_b), a, b), b);
  return IfThenElse(Lt(abs_a, abs_b), a, min);
}

template <class V, HWY_IF_FLOAT_OR_SPECIAL_V(V)>
HWY_API V MaxMagnitude(V a, V b) {
  const V abs_a = Abs(a);
  const V abs_b = Abs(b);
  // This lvalue appears to be necessary to avoid a clang bug on SVE.
  const V max = Max(IfThenElse(Eq(abs_a, abs_b), b, a), a);
  return IfThenElse(Lt(abs_a, abs_b), b, max);
}

#endif  // HWY_NATIVE_FLOAT_MIN_MAX_MAGNITUDE

template <class V, HWY_IF_SIGNED_V(V)>
HWY_API V MinMagnitude(V a, V b) {
  const DFromV<V> d;
  const RebindToUnsigned<decltype(d)> du;
  const auto abs_a = BitCast(du, Abs(a));
  const auto abs_b = BitCast(du, Abs(b));
  return IfThenElse(RebindMask(d, Lt(abs_a, abs_b)), a,
                    Min(IfThenElse(RebindMask(d, Eq(abs_a, abs_b)), a, b), b));
}

template <class V, HWY_IF_SIGNED_V(V)>
HWY_API V MaxMagnitude(V a, V b) {
  const DFromV<V> d;
  const RebindToUnsigned<decltype(d)> du;
  const auto abs_a = BitCast(du, Abs(a));
  const auto abs_b = BitCast(du, Abs(b));
  return IfThenElse(RebindMask(d, Lt(abs_a, abs_b)), b,
                    Max(IfThenElse(RebindMask(d, Eq(abs_a, abs_b)), b, a), a));
}

template <class V, HWY_IF_UNSIGNED_V(V)>
HWY_API V MinMagnitude(V a, V b) {
  return Min(a, b);
}

template <class V, HWY_IF_UNSIGNED_V(V)>
HWY_API V MaxMagnitude(V a, V b) {
  return Max(a, b);
}

// ------------------------------ AddSub

template <class V, HWY_IF_LANES_D(DFromV<V>, 1)>
HWY_API V AddSub(V a, V b) {
  // AddSub(a, b) for a one-lane vector is equivalent to Sub(a, b)
  return Sub(a, b);
}

// AddSub for F32x2, F32x4, and F64x2 vectors is implemented in x86_128-inl.h on
// SSSE3/SSE4/AVX2/AVX3

// AddSub for F32x8 and F64x4 vectors is implemented in x86_256-inl.h on
// AVX2/AVX3

// AddSub for F16/F32/F64 vectors on SVE is implemented in arm_sve-inl.h

// AddSub for integer vectors on SVE2 is implemented in arm_sve-inl.h
template <class V, HWY_IF_ADDSUB_V(V)>
HWY_API V AddSub(V a, V b) {
  using D = DFromV<decltype(a)>;
  using T = TFromD<D>;
  using TNegate = If<!hwy::IsSigned<T>(), MakeSigned<T>, T>;

const D d;
  const Rebind<TNegate, D> d_negate;

// Negate the even lanes of b
  const auto negated_even_b = OddEven(b, BitCast(d, Neg(BitCast(d_negate, b))));

return Add(a, negated_even_b);
}

// ------------------------------ MaskedAddOr etc.
#if (defined(HWY_NATIVE_MASKED_ARITH) == defined(HWY_TARGET_TOGGLE))
#ifdef HWY_NATIVE_MASKED_ARITH
#undef HWY_NATIVE_MASKED_ARITH
#else
#define HWY_NATIVE_MASKED_ARITH
#endif

template <class V, class M>
HWY_API V MaskedMinOr(V no, M m, V a, V b) {
  return IfThenElse(m, Min(a, b), no);
}

template <class V, class M>
HWY_API V MaskedMaxOr(V no, M m, V a, V b) {
  return IfThenElse(m, Max(a, b), no);
}

template <class V, class M>
HWY_API V MaskedAddOr(V no, M m, V a, V b) {
  return IfThenElse(m, Add(a, b), no);
}

template <class V, class M>
HWY_API V MaskedSubOr(V no, M m, V a, V b) {
  return IfThenElse(m, Sub(a, b), no);
}

template <class V, class M>
HWY_API V MaskedMulOr(V no, M m, V a, V b) {
  return IfThenElse(m, Mul(a, b), no);
}

template <class V, class M>
HWY_API V MaskedDivOr(V no, M m, V a, V b) {
  const DFromV<V> d;
  // Avoid division by zero for masked-out lanes.
  const V nonzero = Set(d, TFromD<decltype(d)>{1});
  return IfThenElse(m, Div(a, IfThenElse(m, b, nonzero)), no);
}

template <class V, class M>
HWY_API V MaskedModOr(V no, M m, V a, V b) {
  const DFromV<V> d;
  // Avoid division by zero for masked-out lanes.
  const V nonzero = Set(d, TFromD<decltype(d)>{1});
  return IfThenElse(m, Mod(a, IfThenElse(m, b, nonzero)), no);
}

template <class V, class M>
HWY_API V MaskedSatAddOr(V no, M m, V a, V b) {
  return IfThenElse(m, SaturatedAdd(a, b), no);
}

template <class V, class M>
HWY_API V MaskedSatSubOr(V no, M m, V a, V b) {
  return IfThenElse(m, SaturatedSub(a, b), no);
}
#endif  // HWY_NATIVE_MASKED_ARITH

#if (defined(HWY_NATIVE_ZERO_MASKED_ARITH) == defined(HWY_TARGET_TOGGLE))
#ifdef HWY_NATIVE_ZERO_MASKED_ARITH
#undef HWY_NATIVE_ZERO_MASKED_ARITH
#else
#define HWY_NATIVE_ZERO_MASKED_ARITH
#endif

template <class V, class M>
HWY_API V MaskedMax(M m, V a, V b) {
  return IfThenElseZero(m, (Max(a, b)));
}

template <class V, class M>
HWY_API V MaskedAdd(M m, V a, V b) {
  return IfThenElseZero(m, Add(a, b));
}

template <class V, class M>
HWY_API V MaskedSub(M m, V a, V b) {
  return IfThenElseZero(m, Sub(a, b));
}

template <class V, class M>
HWY_API V MaskedMul(M m, V a, V b) {
  return IfThenElseZero(m, Mul(a, b));
}

template <class V, class M>
HWY_API V MaskedDiv(M m, V a, V b) {
  return IfThenElseZero(m, Div(a, b));
}

template <class V, class M>
HWY_API V MaskedSaturatedAdd(M m, V a, V b) {
  return IfThenElseZero(m, SaturatedAdd(a, b));
}

template <class V, class M>
HWY_API V MaskedSaturatedSub(M m, V a, V b) {
  return IfThenElseZero(m, SaturatedSub(a, b));
}

template <class V, class M, typename D = DFromV<V>, HWY_IF_I16_D(D)>
HWY_API V MaskedMulFixedPoint15(M m, V a, V b) {
  return IfThenElseZero(m, MulFixedPoint15(a, b));
}

template <class V, class M>
HWY_API V MaskedMulAdd(M m, V mul, V x, V add) {
  return IfThenElseZero(m, MulAdd(mul, x, add));
}

template <class V, class M>
HWY_API V MaskedNegMulAdd(M m, V mul, V x, V add) {
  return IfThenElseZero(m, NegMulAdd(mul, x, add));
}

template <class D, class M, HWY_IF_UI32_D(D),
          class V16 = VFromD<RepartitionToNarrow<D>>>
HWY_API VFromD<D> MaskedWidenMulPairwiseAdd(D d32, M m, V16 a, V16 b) {
  return IfThenElseZero(m, WidenMulPairwiseAdd(d32, a, b));
}

template <class DF, class M, HWY_IF_F32_D(DF), class VBF>
HWY_API VFromD<DF> MaskedWidenMulPairwiseAdd(DF df, M m, VBF a, VBF b) {
  return IfThenElseZero(m, WidenMulPairwiseAdd(df, a, b));
}
#endif  // HWY_NATIVE_ZERO_MASKED_ARITH

// ------------------------------ MaskedShift
template <int kShift, class V, class M>
HWY_API V MaskedShiftLeft(M m, V a) {
  return IfThenElseZero(m, ShiftLeft<kShift>(a));
}

template <int kShift, class V, class M>
HWY_API V MaskedShiftRight(M m, V a) {
  return IfThenElseZero(m, ShiftRight<kShift>(a));
}

template <int kShift, class V, class M>
HWY_API V MaskedShiftRightOr(V no, M m, V a) {
  return IfThenElse(m, ShiftRight<kShift>(a), no);
}

template <class V, class M>
HWY_API V MaskedShrOr(V no, M m, V a, V shifts) {
  return IfThenElse(m, Shr(a, shifts), no);
}

// ------------------------------ MaskedEq etc.
#if (defined(HWY_NATIVE_MASKED_COMP) == defined(HWY_TARGET_TOGGLE))
#ifdef HWY_NATIVE_MASKED_COMP
#undef HWY_NATIVE_MASKED_COMP
#else
#define HWY_NATIVE_MASKED_COMP
#endif

template <class V, class M>
HWY_API auto MaskedEq(M m, V a, V b) -> decltype(a == b) {
  return And(m, Eq(a, b));
}

template <class V, class M>
HWY_API auto MaskedNe(M m, V a, V b) -> decltype(a == b) {
  return And(m, Ne(a, b));
}

template <class V, class M>
HWY_API auto MaskedLt(M m, V a, V b) -> decltype(a == b) {
  return And(m, Lt(a, b));
}

template <class V, class M>
HWY_API auto MaskedGt(M m, V a, V b) -> decltype(a == b) {
  return And(m, Gt(a, b));
}

template <class V, class M>
HWY_API auto MaskedLe(M m, V a, V b) -> decltype(a == b) {
  return And(m, Le(a, b));
}

template <class V, class M>
HWY_API auto MaskedGe(M m, V a, V b) -> decltype(a == b) {
  return And(m, Ge(a, b));
}

template <class V, class M, class D = DFromV<V>>
HWY_API MFromD<D> MaskedIsNaN(const M m, const V v) {
  return And(m, IsNaN(v));
}
#endif  // HWY_NATIVE_MASKED_COMP

// ------------------------------ IfNegativeThenNegOrUndefIfZero

#if (defined(HWY_NATIVE_INTEGER_IF_NEGATIVE_THEN_NEG) == \
     defined(HWY_TARGET_TOGGLE))
#ifdef HWY_NATIVE_INTEGER_IF_NEGATIVE_THEN_NEG
#undef HWY_NATIVE_INTEGER_IF_NEGATIVE_THEN_NEG
#else
#define HWY_NATIVE_INTEGER_IF_NEGATIVE_THEN_NEG
#endif

template <class V, HWY_IF_NOT_FLOAT_NOR_SPECIAL_V(V)>
HWY_API V IfNegativeThenNegOrUndefIfZero(V mask, V v) {
#if HWY_HAVE_SCALABLE || HWY_TARGET_IS_SVE
  // MaskedSubOr is more efficient than IfNegativeThenElse on RVV/SVE
  const auto zero = Zero(DFromV<V>());
  return MaskedSubOr(v, Lt(mask, zero), zero, v);
#else
  return IfNegativeThenElse(mask, Neg(v), v);
#endif
}

#endif  // HWY_NATIVE_INTEGER_IF_NEGATIVE_THEN_NEG

template <class V, HWY_IF_FLOAT_V(V)>
HWY_API V IfNegativeThenNegOrUndefIfZero(V mask, V v) {
  return CopySign(v, Xor(mask, v));
}

// ------------------------------ SaturatedNeg

#if (defined(HWY_NATIVE_SATURATED_NEG_8_16_32) == defined(HWY_TARGET_TOGGLE))
#ifdef HWY_NATIVE_SATURATED_NEG_8_16_32
#undef HWY_NATIVE_SATURATED_NEG_8_16_32
#else
#define HWY_NATIVE_SATURATED_NEG_8_16_32
#endif

template <class V, HWY_IF_T_SIZE_ONE_OF_V(V, (1 << 1) | (1 << 2)),
          HWY_IF_SIGNED_V(V)>
HWY_API V SaturatedNeg(V v) {
  const DFromV<decltype(v)> d;
  return SaturatedSub(Zero(d), v);
}

template <class V, HWY_IF_I32(TFromV<V>)>
HWY_API V SaturatedNeg(V v) {
  const DFromV<decltype(v)> d;

#if HWY_TARGET == HWY_RVV || HWY_TARGET_IS_PPC || HWY_TARGET_IS_SVE || \
    HWY_TARGET_IS_NEON
  // RVV/PPC/SVE/NEON have native I32 SaturatedSub instructions
  return SaturatedSub(Zero(d), v);
#else
  // ~v[i] - ((v[i] > LimitsMin<int32_t>()) ? -1 : 0) is equivalent to
  // (v[i] > LimitsMin<int32_t>) ? (-v[i]) : LimitsMax<int32_t>() since
  // -v[i] == ~v[i] + 1 == ~v[i] - (-1) and
  // ~LimitsMin<int32_t>() == LimitsMax<int32_t>().
  return Sub(Not(v), VecFromMask(d, Gt(v, Set(d, LimitsMin<int32_t>()))));
#endif
}
#endif  // HWY_NATIVE_SATURATED_NEG_8_16_32

#if (defined(HWY_NATIVE_SATURATED_NEG_64) == defined(HWY_TARGET_TOGGLE))
#ifdef HWY_NATIVE_SATURATED_NEG_64
#undef HWY_NATIVE_SATURATED_NEG_64
#else
#define HWY_NATIVE_SATURATED_NEG_64
#endif

template <class V, HWY_IF_I64(TFromV<V>)>
HWY_API V SaturatedNeg(V v) {
#if HWY_TARGET == HWY_RVV || HWY_TARGET_IS_SVE || HWY_TARGET_IS_NEON
  // RVV/SVE/NEON have native I64 SaturatedSub instructions
  const DFromV<decltype(v)> d;
  return SaturatedSub(Zero(d), v);
#else
  const auto neg_v = Neg(v);
  return Add(neg_v, BroadcastSignBit(And(v, neg_v)));
#endif
}
#endif  // HWY_NATIVE_SATURATED_NEG_64

// ------------------------------ SaturatedAbs

#if (defined(HWY_NATIVE_SATURATED_ABS) == defined(HWY_TARGET_TOGGLE))
#ifdef HWY_NATIVE_SATURATED_ABS
#undef HWY_NATIVE_SATURATED_ABS
#else
#define HWY_NATIVE_SATURATED_ABS
#endif

template <class V, HWY_IF_SIGNED_V(V)>
HWY_API V SaturatedAbs(V v) {
  return Max(v, SaturatedNeg(v));
}

#endif

// ------------------------------ MaskedAbsOr
template <class V, HWY_IF_SIGNED_V(V), class M>
HWY_API V MaskedAbsOr(V no, M m, V v) {
  return IfThenElse(m, Abs(v), no);
}

// ------------------------------ MaskedAbs
template <class V, HWY_IF_SIGNED_V(V), class M>
HWY_API V MaskedAbs(M m, V v) {
  return IfThenElseZero(m, Abs(v));
}

// ------------------------------ Reductions

// Targets follow one of two strategies. If HWY_NATIVE_REDUCE_SCALAR is toggled,
// they (RVV/SVE/Armv8/Emu128) implement ReduceSum and SumOfLanes via Set.
// Otherwise, they (Armv7/PPC/scalar/WASM/x86) define zero to most of the
// SumOfLanes overloads. For the latter group, we here define the remaining
// overloads, plus ReduceSum which uses them plus GetLane.
#if (defined(HWY_NATIVE_REDUCE_SCALAR) == defined(HWY_TARGET_TOGGLE))
#ifdef HWY_NATIVE_REDUCE_SCALAR
#undef HWY_NATIVE_REDUCE_SCALAR
#else
#define HWY_NATIVE_REDUCE_SCALAR
#endif

namespace detail {

// Allows reusing the same shuffle code for SumOfLanes/MinOfLanes/MaxOfLanes.
struct AddFunc {
  template <class V>
  V operator()(V a, V b) const {
    return Add(a, b);
  }
};

struct MinFunc {
  template <class V>
  V operator()(V a, V b) const {
    return Min(a, b);
  }
};

struct MaxFunc {
  template <class V>
  V operator()(V a, V b) const {
    return Max(a, b);
  }
};

// No-op for vectors of at most one block.
template <class D, class Func, HWY_IF_V_SIZE_LE_D(D, 16)>
HWY_INLINE VFromD<D> ReduceAcrossBlocks(D, Func, VFromD<D> v) {
  return v;
}

// Reduces a lane with its counterpart in other block(s). Shared by AVX2 and
// WASM_EMU256. AVX3 has its own overload.
template <class D, class Func, HWY_IF_V_SIZE_D(D, 32)>
HWY_INLINE VFromD<D> ReduceAcrossBlocks(D /*d*/, Func f, VFromD<D> v) {
  return f(v, SwapAdjacentBlocks(v));
}

// These return the reduction result broadcasted across all lanes. They assume
// the caller has already reduced across blocks.

template <class D, class Func, HWY_IF_LANES_PER_BLOCK_D(D, 2)>
HWY_INLINE VFromD<D> ReduceWithinBlocks(D d, Func f, VFromD<D> v10) {
  return f(v10, Reverse2(d, v10));
}

template <class D, class Func, HWY_IF_LANES_PER_BLOCK_D(D, 4)>
HWY_INLINE VFromD<D> ReduceWithinBlocks(D d, Func f, VFromD<D> v3210) {
  const VFromD<D> v0123 = Reverse4(d, v3210);
  const VFromD<D> v03_12_12_03 = f(v3210, v0123);
  const VFromD<D> v12_03_03_12 = Reverse2(d, v03_12_12_03);
  return f(v03_12_12_03, v12_03_03_12);
}

template <class D, class Func, HWY_IF_LANES_PER_BLOCK_D(D, 8)>
HWY_INLINE VFromD<D> ReduceWithinBlocks(D d, Func f, VFromD<D> v76543210) {
  // The upper half is reversed from the lower half; omit for brevity.
  const VFromD<D> v34_25_16_07 = f(v76543210, Reverse8(d, v76543210));
  const VFromD<D> v0347_1625_1625_0347 =
      f(v34_25_16_07, Reverse4(d, v34_25_16_07));
  return f(v0347_1625_1625_0347, Reverse2(d, v0347_1625_1625_0347));
}

template <class D, class Func, HWY_IF_LANES_PER_BLOCK_D(D, 16), HWY_IF_U8_D(D)>
HWY_INLINE VFromD<D> ReduceWithinBlocks(D d, Func f, VFromD<D> v) {
  const RepartitionToWide<decltype(d)> dw;
  using VW = VFromD<decltype(dw)>;
  const VW vw = BitCast(dw, v);
  // f is commutative, so no need to adapt for HWY_IS_LITTLE_ENDIAN.
  const VW even = And(vw, Set(dw, 0xFF));
  const VW odd = ShiftRight<8>(vw);
  const VW reduced = ReduceWithinBlocks(dw, f, f(even, odd));
#if HWY_IS_LITTLE_ENDIAN
  return DupEven(BitCast(d, reduced));
#else
  return DupOdd(BitCast(d, reduced));
#endif
}

template <class D, class Func, HWY_IF_LANES_PER_BLOCK_D(D, 16), HWY_IF_I8_D(D)>
HWY_INLINE VFromD<D> ReduceWithinBlocks(D d, Func f, VFromD<D> v) {
  const RepartitionToWide<decltype(d)> dw;
  using VW = VFromD<decltype(dw)>;
  const VW vw = BitCast(dw, v);
  // Sign-extend
  // f is commutative, so no need to adapt for HWY_IS_LITTLE_ENDIAN.
  const VW even = ShiftRight<8>(ShiftLeft<8>(vw));
  const VW odd = ShiftRight<8>(vw);
  const VW reduced = ReduceWithinBlocks(dw, f, f(even, odd));
#if HWY_IS_LITTLE_ENDIAN
  return DupEven(BitCast(d, reduced));
#else
  return DupOdd(BitCast(d, reduced));
#endif
}

}  // namespace detail

template <class D, HWY_IF_SUM_OF_LANES_D(D)>
HWY_API VFromD<D> SumOfLanes(D d, VFromD<D> v) {
  const detail::AddFunc f;
  v = detail::ReduceAcrossBlocks(d, f, v);
  return detail::ReduceWithinBlocks(d, f, v);
}
template <class D, HWY_IF_MINMAX_OF_LANES_D(D)>
HWY_API VFromD<D> MinOfLanes(D d, VFromD<D> v) {
  const detail::MinFunc f;
  v = detail::ReduceAcrossBlocks(d, f, v);
  return detail::ReduceWithinBlocks(d, f, v);
}
template <class D, HWY_IF_MINMAX_OF_LANES_D(D)>
HWY_API VFromD<D> MaxOfLanes(D d, VFromD<D> v) {
  const detail::MaxFunc f;
  v = detail::ReduceAcrossBlocks(d, f, v);
  return detail::ReduceWithinBlocks(d, f, v);
}

template <class D, HWY_IF_REDUCE_D(D)>
HWY_API TFromD<D> ReduceSum(D d, VFromD<D> v) {
  return GetLane(SumOfLanes(d, v));
}
template <class D, HWY_IF_REDUCE_D(D)>
HWY_API TFromD<D> ReduceMin(D d, VFromD<D> v) {
  return GetLane(MinOfLanes(d, v));
}
template <class D, HWY_IF_REDUCE_D(D)>
HWY_API TFromD<D> ReduceMax(D d, VFromD<D> v) {
  return GetLane(MaxOfLanes(d, v));
}

#endif  // HWY_NATIVE_REDUCE_SCALAR

// Corner cases for both generic and native implementations:
// N=1 (native covers N=2 e.g. for u64x2 and even u32x2 on Arm)
template <class D, HWY_IF_LANES_D(D, 1)>
HWY_API TFromD<D> ReduceSum(D /*d*/, VFromD<D> v) {
  return GetLane(v);
}
template <class D, HWY_IF_LANES_D(D, 1)>
HWY_API TFromD<D> ReduceMin(D /*d*/, VFromD<D> v) {
  return GetLane(v);
}
template <class D, HWY_IF_LANES_D(D, 1)>
HWY_API TFromD<D> ReduceMax(D /*d*/, VFromD<D> v) {
  return GetLane(v);
}

template <class D, HWY_IF_LANES_D(D, 1)>
HWY_API VFromD<D> SumOfLanes(D /* tag */, VFromD<D> v) {
  return v;
}
template <class D, HWY_IF_LANES_D(D, 1)>
HWY_API VFromD<D> MinOfLanes(D /* tag */, VFromD<D> v) {
  return v;
}
template <class D, HWY_IF_LANES_D(D, 1)>
HWY_API VFromD<D> MaxOfLanes(D /* tag */, VFromD<D> v) {
  return v;
}

// N=4 for 8-bit is still less than the minimum native size.

// ARMv7 NEON/PPC/RVV/SVE have target-specific implementations of the N=4 I8/U8
// ReduceSum operations
#if (defined(HWY_NATIVE_REDUCE_SUM_4_UI8) == defined(HWY_TARGET_TOGGLE))
#ifdef HWY_NATIVE_REDUCE_SUM_4_UI8
#undef HWY_NATIVE_REDUCE_SUM_4_UI8
#else
#define HWY_NATIVE_REDUCE_SUM_4_UI8
#endif

template <class D, HWY_IF_V_SIZE_D(D, 4), HWY_IF_UI8_D(D)>
HWY_API TFromD<D> ReduceSum(D d, VFromD<D> v) {
  const Twice<RepartitionToWide<decltype(d)>> dw;
  return static_cast<TFromD<D>>(ReduceSum(dw, PromoteTo(dw, v)));
}
#endif  // HWY_NATIVE_REDUCE_SUM_4_UI8

// RVV/SVE have target-specific implementations of the N=4 I8/U8
// ReduceMin/ReduceMax operations
#if (defined(HWY_NATIVE_REDUCE_MINMAX_4_UI8) == defined(HWY_TARGET_TOGGLE))
#ifdef HWY_NATIVE_REDUCE_MINMAX_4_UI8
#undef HWY_NATIVE_REDUCE_MINMAX_4_UI8
#else
#define HWY_NATIVE_REDUCE_MINMAX_4_UI8
#endif
template <class D, HWY_IF_V_SIZE_D(D, 4), HWY_IF_UI8_D(D)>
HWY_API TFromD<D> ReduceMin(D d, VFromD<D> v) {
  const Twice<RepartitionToWide<decltype(d)>> dw;
  return static_cast<TFromD<D>>(ReduceMin(dw, PromoteTo(dw, v)));
}
template <class D, HWY_IF_V_SIZE_D(D, 4), HWY_IF_UI8_D(D)>
HWY_API TFromD<D> ReduceMax(D d, VFromD<D> v) {
  const Twice<RepartitionToWide<decltype(d)>> dw;
  return static_cast<TFromD<D>>(ReduceMax(dw, PromoteTo(dw, v)));
}
#endif  // HWY_NATIVE_REDUCE_MINMAX_4_UI8

#if (defined(HWY_NATIVE_MASKED_REDUCE_SCALAR) == defined(HWY_TARGET_TOGGLE))
#ifdef HWY_NATIVE_MASKED_REDUCE_SCALAR
#undef HWY_NATIVE_MASKED_REDUCE_SCALAR
#else
#define HWY_NATIVE_MASKED_REDUCE_SCALAR
#endif

template <class D, class M>
HWY_API TFromD<D> MaskedReduceSum(D d, M m, VFromD<D> v) {
  return ReduceSum(d, IfThenElseZero(m, v));
}
template <class D, class M>
HWY_API TFromD<D> MaskedReduceMin(D d, M m, VFromD<D> v) {
  return ReduceMin(
      d, IfThenElse(m, v, Set(d, hwy::PositiveInfOrHighestValue<TFromD<D>>())));
}
template <class D, class M>
HWY_API TFromD<D> MaskedReduceMax(D d, M m, VFromD<D> v) {
  return ReduceMax(
      d, IfThenElse(m, v, Set(d, hwy::NegativeInfOrLowestValue<TFromD<D>>())));
}

#endif  // HWY_NATIVE_MASKED_REDUCE_SCALAR

// ------------------------------ IsEitherNaN
#if (defined(HWY_NATIVE_IS_EITHER_NAN) == defined(HWY_TARGET_TOGGLE))
#ifdef HWY_NATIVE_IS_EITHER_NAN
#undef HWY_NATIVE_IS_EITHER_NAN
#else
#define HWY_NATIVE_IS_EITHER_NAN
#endif

template <class V, HWY_IF_FLOAT_V(V)>
HWY_API MFromD<DFromV<V>> IsEitherNaN(V a, V b) {
  return Or(IsNaN(a), IsNaN(b));
}

#endif  // HWY_NATIVE_IS_EITHER_NAN

// ------------------------------ IsInf, IsFinite

// AVX3 has target-specific implementations of these.
#if (defined(HWY_NATIVE_ISINF) == defined(HWY_TARGET_TOGGLE))
#ifdef HWY_NATIVE_ISINF
#undef HWY_NATIVE_ISINF
#else
#define HWY_NATIVE_ISINF
#endif

template <class V, class D = DFromV<V>>
HWY_API MFromD<D> IsInf(const V v) {
  using T = TFromD<D>;
  const D d;
  const RebindToUnsigned<decltype(d)> du;
  const VFromD<decltype(du)> vu = BitCast(du, v);
  // 'Shift left' to clear the sign bit, check for exponent=max and mantissa=0.
  return RebindMask(
      d,
      Eq(Add(vu, vu),
         Set(du, static_cast<MakeUnsigned<T>>(hwy::MaxExponentTimes2<T>()))));
}

// Returns whether normal/subnormal/zero.
template <class V, class D = DFromV<V>>
HWY_API MFromD<D> IsFinite(const V v) {
  using T = TFromD<D>;
  const D d;
  const RebindToUnsigned<decltype(d)> du;
  const RebindToSigned<decltype(d)> di;  // cheaper than unsigned comparison
  const VFromD<decltype(du)> vu = BitCast(du, v);
// 'Shift left' to clear the sign bit. MSVC seems to generate incorrect code
// for AVX2 if we instead add vu + vu.
#if HWY_COMPILER_MSVC
  const VFromD<decltype(du)> shl = ShiftLeft<1>(vu);
#else
  const VFromD<decltype(du)> shl = Add(vu, vu);
#endif

// Then shift right so we can compare with the max exponent (cannot compare
  // with MaxExponentTimes2 directly because it is negative and non-negative
  // floats would be greater).
  const VFromD<decltype(di)> exp =
      BitCast(di, ShiftRight<hwy::MantissaBits<T>() + 1>(shl));
  return RebindMask(d, Lt(exp, Set(di, hwy::MaxExponentField<T>())));
}

#endif  // HWY_NATIVE_ISINF

// ------------------------------ CeilInt/FloorInt
#if (defined(HWY_NATIVE_CEIL_FLOOR_INT) == defined(HWY_TARGET_TOGGLE))
#ifdef HWY_NATIVE_CEIL_FLOOR_INT
#undef HWY_NATIVE_CEIL_FLOOR_INT
#else
#define HWY_NATIVE_CEIL_FLOOR_INT
#endif

template <class V, HWY_IF_FLOAT_V(V)>
HWY_API VFromD<RebindToSigned<DFromV<V>>> CeilInt(V v) {
  const DFromV<decltype(v)> d;
  const RebindToSigned<decltype(d)> di;
  return ConvertTo(di, Ceil(v));
}

template <class V, HWY_IF_FLOAT_V(V)>
HWY_API VFromD<RebindToSigned<DFromV<V>>> FloorInt(V v) {
  const DFromV<decltype(v)> d;
  const RebindToSigned<decltype(d)> di;
  return ConvertTo(di, Floor(v));
}

#endif  // HWY_NATIVE_CEIL_FLOOR_INT

// ------------------------------ MulByPow2/MulByFloorPow2

#if (defined(HWY_NATIVE_MUL_BY_POW2) == defined(HWY_TARGET_TOGGLE))
#ifdef HWY_NATIVE_MUL_BY_POW2
#undef HWY_NATIVE_MUL_BY_POW2
#else
#define HWY_NATIVE_MUL_BY_POW2
#endif

template <class V, HWY_IF_FLOAT_V(V)>
HWY_API V MulByPow2(V v, VFromD<RebindToSigned<DFromV<V>>> exp) {
  const DFromV<decltype(v)> df;
  const RebindToUnsigned<decltype(df)> du;
  const RebindToSigned<decltype(df)> di;

using TF = TFromD<decltype(df)>;
  using TI = TFromD<decltype(di)>;
  using TU = TFromD<decltype(du)>;

using VF = VFromD<decltype(df)>;
  using VI = VFromD<decltype(di)>;

constexpr TI kMaxBiasedExp = MaxExponentField<TF>();
  static_assert(kMaxBiasedExp > 0, "kMaxBiasedExp > 0 must be true");

constexpr TI kExpBias = static_cast<TI>(kMaxBiasedExp >> 1);
  static_assert(kExpBias > 0, "kExpBias > 0 must be true");
  static_assert(kExpBias <= LimitsMax<TI>() / 3,
                "kExpBias <= LimitsMax<TI>() / 3 must be true");

#if HWY_TARGET > HWY_AVX3 && HWY_TARGET <= HWY_SSE4
  using TExpMinMax = If<(sizeof(TI) <= 4), TI, int32_t>;
#elif (HWY_TARGET >= HWY_SSSE3 && HWY_TARGET <= HWY_SSE2) || \
    HWY_TARGET == HWY_WASM || HWY_TARGET == HWY_WASM_EMU256
  using TExpMinMax = int16_t;
#else
  using TExpMinMax = TI;
#endif

#if HWY_TARGET == HWY_EMU128 || HWY_TARGET == HWY_SCALAR
  using TExpSatSub = TU;
#elif HWY_TARGET <= HWY_SSE2 || HWY_TARGET == HWY_WASM || \
    HWY_TARGET == HWY_WASM_EMU256
  using TExpSatSub = If<(sizeof(TF) == 4), uint8_t, uint16_t>;
#elif HWY_TARGET_IS_PPC
  using TExpSatSub = If<(sizeof(TF) >= 4), uint32_t, TU>;
#else
  using TExpSatSub = If<(sizeof(TF) == 4), uint8_t, TU>;
#endif

static_assert(kExpBias <= static_cast<TI>(LimitsMax<TExpMinMax>() / 3),
                "kExpBias <= LimitsMax<TExpMinMax>() / 3 must be true");

const Repartition<TExpMinMax, decltype(df)> d_exp_min_max;
  const Repartition<TExpSatSub, decltype(df)> d_sat_exp_sub;

constexpr int kNumOfExpBits = ExponentBits<TF>();
  constexpr int kNumOfMantBits = MantissaBits<TF>();

// The sign bit of BitCastScalar<TU>(a[i]) >> kNumOfMantBits can be zeroed out
  // using SaturatedSub if kZeroOutSignUsingSatSub is true.

// If kZeroOutSignUsingSatSub is true, then val_for_exp_sub will be bitcasted
  // to a vector that has a smaller lane size than TU for the SaturatedSub
  // operation below.
  constexpr bool kZeroOutSignUsingSatSub =
      ((sizeof(TExpSatSub) * 8) == static_cast<size_t>(kNumOfExpBits));

// If kZeroOutSignUsingSatSub is true, then the upper
  // (sizeof(TU) - sizeof(TExpSatSub)) * 8 bits of kExpDecrBy1Bits will be all
  // ones and the lower sizeof(TExpSatSub) * 8 bits of kExpDecrBy1Bits will be
  // equal to 1.

// Otherwise, if kZeroOutSignUsingSatSub is false, kExpDecrBy1Bits will be
  // equal to 1.
  constexpr TU kExpDecrBy1Bits = static_cast<TU>(
      TU{1} - (static_cast<TU>(kZeroOutSignUsingSatSub) << kNumOfExpBits));

VF val_for_exp_sub = v;
  HWY_IF_CONSTEXPR(!kZeroOutSignUsingSatSub) {
    // If kZeroOutSignUsingSatSub is not true, zero out the sign bit of
    // val_for_exp_sub[i] using Abs
    val_for_exp_sub = Abs(val_for_exp_sub);
  }

// min_exp1_plus_min_exp2[i] is the smallest exponent such that
  // min_exp1_plus_min_exp2[i] >= 2 - kExpBias * 2 and
  // std::ldexp(v[i], min_exp1_plus_min_exp2[i]) is a normal floating-point
  // number if v[i] is a normal number
  const VI min_exp1_plus_min_exp2 = BitCast(
      di,
      Max(BitCast(
              d_exp_min_max,
              Neg(BitCast(
                  di,
                  SaturatedSub(
                      BitCast(d_sat_exp_sub, ShiftRight<kNumOfMantBits>(
                                                 BitCast(du, val_for_exp_sub))),
                      BitCast(d_sat_exp_sub, Set(du, kExpDecrBy1Bits)))))),
          BitCast(d_exp_min_max,
                  Set(di, static_cast<TI>(2 - kExpBias - kExpBias)))));

const VI clamped_exp =
      Max(Min(exp, Set(di, static_cast<TI>(kExpBias * 3))),
          Add(min_exp1_plus_min_exp2, Set(di, static_cast<TI>(1 - kExpBias))));

const VI exp1_plus_exp2 = BitCast(
      di, Max(Min(BitCast(d_exp_min_max,
                          Sub(clamped_exp, ShiftRight<2>(clamped_exp))),
                  BitCast(d_exp_min_max,
                          Set(di, static_cast<TI>(kExpBias + kExpBias)))),
              BitCast(d_exp_min_max, min_exp1_plus_min_exp2)));

const VI exp1 = ShiftRight<1>(exp1_plus_exp2);
  const VI exp2 = Sub(exp1_plus_exp2, exp1);
  const VI exp3 = Sub(clamped_exp, exp1_plus_exp2);

const VI exp_bias = Set(di, kExpBias);

const VF factor1 =
      BitCast(df, ShiftLeft<kNumOfMantBits>(Add(exp1, exp_bias)));
  const VF factor2 =
      BitCast(df, ShiftLeft<kNumOfMantBits>(Add(exp2, exp_bias)));
  const VF factor3 =
      BitCast(df, ShiftLeft<kNumOfMantBits>(Add(exp3, exp_bias)));

return Mul(Mul(Mul(v, factor1), factor2), factor3);
}

template <class V, HWY_IF_FLOAT_V(V)>
HWY_API V MulByFloorPow2(V v, V exp) {
  const DFromV<decltype(v)> df;

// MulByFloorPow2 special cases:
  // MulByFloorPow2(v, NaN) => NaN
  // MulByFloorPow2(0, inf) => NaN
  // MulByFloorPow2(inf, -inf) => NaN
  // MulByFloorPow2(-inf, -inf) => NaN
  const auto is_special_case_with_nan_result =
      Or(IsNaN(exp),
         And(Eq(Abs(v), IfNegativeThenElseZero(exp, Inf(df))), IsInf(exp)));

return IfThenElse(is_special_case_with_nan_result, NaN(df),
                    MulByPow2(v, FloorInt(exp)));
}

#endif  // HWY_NATIVE_MUL_BY_POW2

// ------------------------------ GetBiasedExponent
#if (defined(HWY_NATIVE_GET_BIASED_EXPONENT) == defined(HWY_TARGET_TOGGLE))
#ifdef HWY_NATIVE_GET_BIASED_EXPONENT
#undef HWY_NATIVE_GET_BIASED_EXPONENT
#else
#define HWY_NATIVE_GET_BIASED_EXPONENT
#endif

template <class V, HWY_IF_FLOAT_V(V)>
HWY_API VFromD<RebindToUnsigned<DFromV<V>>> GetBiasedExponent(V v) {
  using T = TFromV<V>;

const DFromV<V> d;
  const RebindToUnsigned<decltype(d)> du;

constexpr int kNumOfMantBits = MantissaBits<T>();
  return ShiftRight<kNumOfMantBits>(BitCast(du, Abs(v)));
}

#endif

// ------------------------------ GetExponent

#if (defined(HWY_NATIVE_GET_EXPONENT) == defined(HWY_TARGET_TOGGLE))
#ifdef HWY_NATIVE_GET_EXPONENT
#undef HWY_NATIVE_GET_EXPONENT
#else
#define HWY_NATIVE_GET_EXPONENT
#endif

template <class V, HWY_IF_FLOAT_V(V)>
HWY_API V GetExponent(V v) {
  const DFromV<V> d;
  using T = TFromV<V>;
  const RebindToSigned<decltype(d)> di;

const auto exponent_offset = Set(di, MaxExponentField<T>() >> 1);

// extract exponent bits as integer
  const auto encoded_exponent = GetBiasedExponent(v);
  const auto exponent_int = Sub(BitCast(di, encoded_exponent), exponent_offset);

// convert integer to original type
  return ConvertTo(d, exponent_int);
}

#endif  // HWY_NATIVE_GET_EXPONENT
// ------------------------------ LoadInterleaved2

#if HWY_IDE || \
    (defined(HWY_NATIVE_LOAD_STORE_INTERLEAVED) == defined(HWY_TARGET_TOGGLE))
#ifdef HWY_NATIVE_LOAD_STORE_INTERLEAVED
#undef HWY_NATIVE_LOAD_STORE_INTERLEAVED
#else
#define HWY_NATIVE_LOAD_STORE_INTERLEAVED
#endif

template <class D, HWY_IF_LANES_GT_D(D, 1)>
HWY_API void LoadInterleaved2(D d, const TFromD<D>* HWY_RESTRICT unaligned,
                              VFromD<D>& v0, VFromD<D>& v1) {
  const VFromD<D> A = LoadU(d, unaligned);  // v1[1] v0[1] v1[0] v0[0]
  const VFromD<D> B = LoadU(d, unaligned + Lanes(d));
  v0 = ConcatEven(d, B, A);
  v1 = ConcatOdd(d, B, A);
}

template <class D, HWY_IF_LANES_D(D, 1)>
HWY_API void LoadInterleaved2(D d, const TFromD<D>* HWY_RESTRICT unaligned,
                              VFromD<D>& v0, VFromD<D>& v1) {
  v0 = LoadU(d, unaligned + 0);
  v1 = LoadU(d, unaligned + 1);
}

// ------------------------------ LoadInterleaved3 (CombineShiftRightBytes)

namespace detail {

#if HWY_IDE
template <class V>
HWY_INLINE V ShuffleTwo1230(V a, V /* b */) {
  return a;
}
template <class V>
HWY_INLINE V ShuffleTwo2301(V a, V /* b */) {
  return a;
}
template <class V>
HWY_INLINE V ShuffleTwo3012(V a, V /* b */) {
  return a;
}
#endif  // HWY_IDE

// Default for <= 128-bit vectors; x86_256 and x86_512 have their own overload.
template <class D, HWY_IF_V_SIZE_LE_D(D, 16)>
HWY_INLINE void LoadTransposedBlocks3(D d,
                                      const TFromD<D>* HWY_RESTRICT unaligned,
                                      VFromD<D>& A, VFromD<D>& B,
                                      VFromD<D>& C) {
  constexpr size_t kN = MaxLanes(d);
  A = LoadU(d, unaligned + 0 * kN);
  B = LoadU(d, unaligned + 1 * kN);
  C = LoadU(d, unaligned + 2 * kN);
}

}  // namespace detail

template <class D, HWY_IF_LANES_PER_BLOCK_D(D, 16)>
HWY_API void LoadInterleaved3(D d, const TFromD<D>* HWY_RESTRICT unaligned,
                              VFromD<D>& v0, VFromD<D>& v1, VFromD<D>& v2) {
  const RebindToUnsigned<decltype(d)> du;
  using V = VFromD<D>;
  using VU = VFromD<decltype(du)>;
  // Compact notation so these fit on one line: 12 := v1[2].
  V A;  // 05 24 14 04 23 13 03 22 12 02 21 11 01 20 10 00
  V B;  // 1a 0a 29 19 09 28 18 08 27 17 07 26 16 06 25 15
  V C;  // 2f 1f 0f 2e 1e 0e 2d 1d 0d 2c 1c 0c 2b 1b 0b 2a
  detail::LoadTransposedBlocks3(d, unaligned, A, B, C);
  // Compress all lanes belonging to v0 into consecutive lanes.
  constexpr uint8_t Z = 0x80;
  const VU idx_v0A =
      Dup128VecFromValues(du, 0, 3, 6, 9, 12, 15, Z, Z, Z, Z, Z, Z, Z, Z, Z, Z);
  const VU idx_v0B =
      Dup128VecFromValues(du, Z, Z, Z, Z, Z, Z, 2, 5, 8, 11, 14, Z, Z, Z, Z, Z);
  const VU idx_v0C =
      Dup128VecFromValues(du, Z, Z, Z, Z, Z, Z, Z, Z, Z, Z, Z, 1, 4, 7, 10, 13);
  const VU idx_v1A =
      Dup128VecFromValues(du, 1, 4, 7, 10, 13, Z, Z, Z, Z, Z, Z, Z, Z, Z, Z, Z);
  const VU idx_v1B =
      Dup128VecFromValues(du, Z, Z, Z, Z, Z, 0, 3, 6, 9, 12, 15, Z, Z, Z, Z, Z);
  const VU idx_v1C =
      Dup128VecFromValues(du, Z, Z, Z, Z, Z, Z, Z, Z, Z, Z, Z, 2, 5, 8, 11, 14);
  const VU idx_v2A =
      Dup128VecFromValues(du, 2, 5, 8, 11, 14, Z, Z, Z, Z, Z, Z, Z, Z, Z, Z, Z);
  const VU idx_v2B =
      Dup128VecFromValues(du, Z, Z, Z, Z, Z, 1, 4, 7, 10, 13, Z, Z, Z, Z, Z, Z);
  const VU idx_v2C =
      Dup128VecFromValues(du, Z, Z, Z, Z, Z, Z, Z, Z, Z, Z, 0, 3, 6, 9, 12, 15);
  const V v0L = BitCast(d, TableLookupBytesOr0(A, idx_v0A));
  const V v0M = BitCast(d, TableLookupBytesOr0(B, idx_v0B));
  const V v0U = BitCast(d, TableLookupBytesOr0(C, idx_v0C));
  const V v1L = BitCast(d, TableLookupBytesOr0(A, idx_v1A));
  const V v1M = BitCast(d, TableLookupBytesOr0(B, idx_v1B));
  const V v1U = BitCast(d, TableLookupBytesOr0(C, idx_v1C));
  const V v2L = BitCast(d, TableLookupBytesOr0(A, idx_v2A));
  const V v2M = BitCast(d, TableLookupBytesOr0(B, idx_v2B));
  const V v2U = BitCast(d, TableLookupBytesOr0(C, idx_v2C));
  v0 = Xor3(v0L, v0M, v0U);
  v1 = Xor3(v1L, v1M, v1U);
  v2 = Xor3(v2L, v2M, v2U);
}

// 8-bit lanes x8
template <class D, HWY_IF_LANES_PER_BLOCK_D(D, 8), HWY_IF_T_SIZE_D(D, 1)>
HWY_API void LoadInterleaved3(D d, const TFromD<D>* HWY_RESTRICT unaligned,
                              VFromD<D>& v0, VFromD<D>& v1, VFromD<D>& v2) {
  const RebindToUnsigned<decltype(d)> du;
  using V = VFromD<D>;
  using VU = VFromD<decltype(du)>;
  V A;  // v1[2] v0[2] v2[1] v1[1] v0[1] v2[0] v1[0] v0[0]
  V B;  // v0[5] v2[4] v1[4] v0[4] v2[3] v1[3] v0[3] v2[2]
  V C;  // v2[7] v1[7] v0[7] v2[6] v1[6] v0[6] v2[5] v1[5]
  detail::LoadTransposedBlocks3(d, unaligned, A, B, C);
  // Compress all lanes belonging to v0 into consecutive lanes.
  constexpr uint8_t Z = 0x80;
  const VU idx_v0A =
      Dup128VecFromValues(du, 0, 3, 6, Z, Z, Z, Z, Z, 0, 0, 0, 0, 0, 0, 0, 0);
  const VU idx_v0B =
      Dup128VecFromValues(du, Z, Z, Z, 1, 4, 7, Z, Z, 0, 0, 0, 0, 0, 0, 0, 0);
  const VU idx_v0C =
      Dup128VecFromValues(du, Z, Z, Z, Z, Z, Z, 2, 5, 0, 0, 0, 0, 0, 0, 0, 0);
  const VU idx_v1A =
      Dup128VecFromValues(du, 1, 4, 7, Z, Z, Z, Z, Z, 0, 0, 0, 0, 0, 0, 0, 0);
  const VU idx_v1B =
      Dup128VecFromValues(du, Z, Z, Z, 2, 5, Z, Z, Z, 0, 0, 0, 0, 0, 0, 0, 0);
  const VU idx_v1C =
      Dup128VecFromValues(du, Z, Z, Z, Z, Z, 0, 3, 6, 0, 0, 0, 0, 0, 0, 0, 0);
  const VU idx_v2A =
      Dup128VecFromValues(du, 2, 5, Z, Z, Z, Z, Z, Z, 0, 0, 0, 0, 0, 0, 0, 0);
  const VU idx_v2B =
      Dup128VecFromValues(du, Z, Z, 0, 3, 6, Z, Z, Z, 0, 0, 0, 0, 0, 0, 0, 0);
  const VU idx_v2C =
      Dup128VecFromValues(du, Z, Z, Z, Z, Z, 1, 4, 7, 0, 0, 0, 0, 0, 0, 0, 0);
  const V v0L = BitCast(d, TableLookupBytesOr0(A, idx_v0A));
  const V v0M = BitCast(d, TableLookupBytesOr0(B, idx_v0B));
  const V v0U = BitCast(d, TableLookupBytesOr0(C, idx_v0C));
  const V v1L = BitCast(d, TableLookupBytesOr0(A, idx_v1A));
  const V v1M = BitCast(d, TableLookupBytesOr0(B, idx_v1B));
  const V v1U = BitCast(d, TableLookupBytesOr0(C, idx_v1C));
  const V v2L = BitCast(d, TableLookupBytesOr0(A, idx_v2A));
  const V v2M = BitCast(d, TableLookupBytesOr0(B, idx_v2B));
  const V v2U = BitCast(d, TableLookupBytesOr0(C, idx_v2C));
  v0 = Xor3(v0L, v0M, v0U);
  v1 = Xor3(v1L, v1M, v1U);
  v2 = Xor3(v2L, v2M, v2U);
}

// 16-bit lanes x8
template <class D, HWY_IF_LANES_PER_BLOCK_D(D, 8), HWY_IF_T_SIZE_D(D, 2)>
HWY_API void LoadInterleaved3(D d, const TFromD<D>* HWY_RESTRICT unaligned,
                              VFromD<D>& v0, VFromD<D>& v1, VFromD<D>& v2) {
  const RebindToUnsigned<decltype(d)> du;
  const Repartition<uint8_t, decltype(du)> du8;
  using V = VFromD<D>;
  using VU8 = VFromD<decltype(du8)>;
  V A;  // v1[2] v0[2] v2[1] v1[1] v0[1] v2[0] v1[0] v0[0]
  V B;  // v0[5] v2[4] v1[4] v0[4] v2[3] v1[3] v0[3] v2[2]
  V C;  // v2[7] v1[7] v0[7] v2[6] v1[6] v0[6] v2[5] v1[5]
  detail::LoadTransposedBlocks3(d, unaligned, A, B, C);
  // Compress all lanes belonging to v0 into consecutive lanes. Same as above,
  // but each element of the array contains a byte index for a byte of a lane.
  constexpr uint8_t Z = 0x80;
  const VU8 idx_v0A = Dup128VecFromValues(du8, 0x00, 0x01, 0x06, 0x07, 0x0C,
                                          0x0D, Z, Z, Z, Z, Z, Z, Z, Z, Z, Z);
  const VU8 idx_v0B = Dup128VecFromValues(du8, Z, Z, Z, Z, Z, Z, 0x02, 0x03,
                                          0x08, 0x09, 0x0E, 0x0F, Z, Z, Z, Z);
  const VU8 idx_v0C = Dup128VecFromValues(du8, Z, Z, Z, Z, Z, Z, Z, Z, Z, Z, Z,
                                          Z, 0x04, 0x05, 0x0A, 0x0B);
  const VU8 idx_v1A = Dup128VecFromValues(du8, 0x02, 0x03, 0x08, 0x09, 0x0E,
                                          0x0F, Z, Z, Z, Z, Z, Z, Z, Z, Z, Z);
  const VU8 idx_v1B = Dup128VecFromValues(du8, Z, Z, Z, Z, Z, Z, 0x04, 0x05,
                                          0x0A, 0x0B, Z, Z, Z, Z, Z, Z);
  const VU8 idx_v1C = Dup128VecFromValues(du8, Z, Z, Z, Z, Z, Z, Z, Z, Z, Z,
                                          0x00, 0x01, 0x06, 0x07, 0x0C, 0x0D);
  const VU8 idx_v2A = Dup128VecFromValues(du8, 0x04, 0x05, 0x0A, 0x0B, Z, Z, Z,
                                          Z, Z, Z, Z, Z, Z, Z, Z, Z);
  const VU8 idx_v2B = Dup128VecFromValues(du8, Z, Z, Z, Z, 0x00, 0x01, 0x06,
                                          0x07, 0x0C, 0x0D, Z, Z, Z, Z, Z, Z);
  const VU8 idx_v2C = Dup128VecFromValues(du8, Z, Z, Z, Z, Z, Z, Z, Z, Z, Z,
                                          0x02, 0x03, 0x08, 0x09, 0x0E, 0x0F);
  const V v0L = TableLookupBytesOr0(A, BitCast(d, idx_v0A));
  const V v0M = TableLookupBytesOr0(B, BitCast(d, idx_v0B));
  const V v0U = TableLookupBytesOr0(C, BitCast(d, idx_v0C));
  const V v1L = TableLookupBytesOr0(A, BitCast(d, idx_v1A));
  const V v1M = TableLookupBytesOr0(B, BitCast(d, idx_v1B));
  const V v1U = TableLookupBytesOr0(C, BitCast(d, idx_v1C));
  const V v2L = TableLookupBytesOr0(A, BitCast(d, idx_v2A));
  const V v2M = TableLookupBytesOr0(B, BitCast(d, idx_v2B));
  const V v2U = TableLookupBytesOr0(C, BitCast(d, idx_v2C));
  v0 = Xor3(v0L, v0M, v0U);
  v1 = Xor3(v1L, v1M, v1U);
  v2 = Xor3(v2L, v2M, v2U);
}

template <class D, HWY_IF_LANES_PER_BLOCK_D(D, 4)>
HWY_API void LoadInterleaved3(D d, const TFromD<D>* HWY_RESTRICT unaligned,
                              VFromD<D>& v0, VFromD<D>& v1, VFromD<D>& v2) {
  using V = VFromD<D>;
  V A;  // v0[1] v2[0] v1[0] v0[0]
  V B;  // v1[2] v0[2] v2[1] v1[1]
  V C;  // v2[3] v1[3] v0[3] v2[2]
  detail::LoadTransposedBlocks3(d, unaligned, A, B, C);

const V vxx_02_03_xx = OddEven(C, B);
  v0 = detail::ShuffleTwo1230(A, vxx_02_03_xx);

// Shuffle2301 takes the upper/lower halves of the output from one input, so
  // we cannot just combine 13 and 10 with 12 and 11 (similar to v0/v2). Use
  // OddEven because it may have higher throughput than Shuffle.
  const V vxx_xx_10_11 = OddEven(A, B);
  const V v12_13_xx_xx = OddEven(B, C);
  v1 = detail::ShuffleTwo2301(vxx_xx_10_11, v12_13_xx_xx);

const V vxx_20_21_xx = OddEven(B, A);
  v2 = detail::ShuffleTwo3012(vxx_20_21_xx, C);
}

template <class D, HWY_IF_LANES_PER_BLOCK_D(D, 2)>
HWY_API void LoadInterleaved3(D d, const TFromD<D>* HWY_RESTRICT unaligned,
                              VFromD<D>& v0, VFromD<D>& v1, VFromD<D>& v2) {
  VFromD<D> A;  // v1[0] v0[0]
  VFromD<D> B;  // v0[1] v2[0]
  VFromD<D> C;  // v2[1] v1[1]
  detail::LoadTransposedBlocks3(d, unaligned, A, B, C);
  v0 = OddEven(B, A);
  v1 = CombineShiftRightBytes<sizeof(TFromD<D>)>(d, C, A);
  v2 = OddEven(C, B);
}

template <class D, typename T = TFromD<D>, HWY_IF_LANES_D(D, 1)>
HWY_API void LoadInterleaved3(D d, const T* HWY_RESTRICT unaligned,
                              VFromD<D>& v0, VFromD<D>& v1, VFromD<D>& v2) {
  v0 = LoadU(d, unaligned + 0);
  v1 = LoadU(d, unaligned + 1);
  v2 = LoadU(d, unaligned + 2);
}

// ------------------------------ LoadInterleaved4

namespace detail {

// Default for <= 128-bit vectors; x86_256 and x86_512 have their own overload.
template <class D, HWY_IF_V_SIZE_LE_D(D, 16)>
HWY_INLINE void LoadTransposedBlocks4(D d,
                                      const TFromD<D>* HWY_RESTRICT unaligned,
                                      VFromD<D>& vA, VFromD<D>& vB,
                                      VFromD<D>& vC, VFromD<D>& vD) {
  constexpr size_t kN = MaxLanes(d);
  vA = LoadU(d, unaligned + 0 * kN);
  vB = LoadU(d, unaligned + 1 * kN);
  vC = LoadU(d, unaligned + 2 * kN);
  vD = LoadU(d, unaligned + 3 * kN);
}

}  // namespace detail

template <class D, HWY_IF_LANES_PER_BLOCK_D(D, 16)>
HWY_API void LoadInterleaved4(D d, const TFromD<D>* HWY_RESTRICT unaligned,
                              VFromD<D>& v0, VFromD<D>& v1, VFromD<D>& v2,
                              VFromD<D>& v3) {
  const Repartition<uint64_t, decltype(d)> d64;
  using V64 = VFromD<decltype(d64)>;
  using V = VFromD<D>;
  // 16 lanes per block; the lowest four blocks are at the bottom of vA..vD.
  // Here int[i] means the four interleaved values of the i-th 4-tuple and
  // int[3..0] indicates four consecutive 4-tuples (0 = least-significant).
  V vA;  // int[13..10] int[3..0]
  V vB;  // int[17..14] int[7..4]
  V vC;  // int[1b..18] int[b..8]
  V vD;  // int[1f..1c] int[f..c]
  detail::LoadTransposedBlocks4(d, unaligned, vA, vB, vC, vD);

// For brevity, the comments only list the lower block (upper = lower + 0x10)
  const V v5140 = InterleaveLower(d, vA, vB);  // int[5,1,4,0]
  const V vd9c8 = InterleaveLower(d, vC, vD);  // int[d,9,c,8]
  const V v7362 = InterleaveUpper(d, vA, vB);  // int[7,3,6,2]
  const V vfbea = InterleaveUpper(d, vC, vD);  // int[f,b,e,a]

const V v6420 = InterleaveLower(d, v5140, v7362);  // int[6,4,2,0]
  const V veca8 = InterleaveLower(d, vd9c8, vfbea);  // int[e,c,a,8]
  const V v7531 = InterleaveUpper(d, v5140, v7362);  // int[7,5,3,1]
  const V vfdb9 = InterleaveUpper(d, vd9c8, vfbea);  // int[f,d,b,9]

const V64 v10L = BitCast(d64, InterleaveLower(d, v6420, v7531));  // v10[7..0]
  const V64 v10U = BitCast(d64, InterleaveLower(d, veca8, vfdb9));  // v10[f..8]
  const V64 v32L = BitCast(d64, InterleaveUpper(d, v6420, v7531));  // v32[7..0]
  const V64 v32U = BitCast(d64, InterleaveUpper(d, veca8, vfdb9));  // v32[f..8]

v0 = BitCast(d, InterleaveLower(d64, v10L, v10U));
  v1 = BitCast(d, InterleaveUpper(d64, v10L, v10U));
  v2 = BitCast(d, InterleaveLower(d64, v32L, v32U));
  v3 = BitCast(d, InterleaveUpper(d64, v32L, v32U));
}

template <class D, HWY_IF_LANES_PER_BLOCK_D(D, 8)>
HWY_API void LoadInterleaved4(D d, const TFromD<D>* HWY_RESTRICT unaligned,
                              VFromD<D>& v0, VFromD<D>& v1, VFromD<D>& v2,
                              VFromD<D>& v3) {
  // In the last step, we interleave by half of the block size, which is usually
  // 8 bytes but half that for 8-bit x8 vectors.
  using TW = hwy::UnsignedFromSize<d.MaxBytes() == 8 ? 4 : 8>;
  const Repartition<TW, decltype(d)> dw;
  using VW = VFromD<decltype(dw)>;

// (Comments are for 256-bit vectors.)
  // 8 lanes per block; the lowest four blocks are at the bottom of vA..vD.
  VFromD<D> vA;  // v3210[9]v3210[8] v3210[1]v3210[0]
  VFromD<D> vB;  // v3210[b]v3210[a] v3210[3]v3210[2]
  VFromD<D> vC;  // v3210[d]v3210[c] v3210[5]v3210[4]
  VFromD<D> vD;  // v3210[f]v3210[e] v3210[7]v3210[6]
  detail::LoadTransposedBlocks4(d, unaligned, vA, vB, vC, vD);

const VFromD<D> va820 = InterleaveLower(d, vA, vB);  // v3210[a,8] v3210[2,0]
  const VFromD<D> vec64 = InterleaveLower(d, vC, vD);  // v3210[e,c] v3210[6,4]
  const VFromD<D> vb931 = InterleaveUpper(d, vA, vB);  // v3210[b,9] v3210[3,1]
  const VFromD<D> vfd75 = InterleaveUpper(d, vC, vD);  // v3210[f,d] v3210[7,5]

const VW v10_b830 =  // v10[b..8] v10[3..0]
      BitCast(dw, InterleaveLower(d, va820, vb931));
  const VW v10_fc74 =  // v10[f..c] v10[7..4]
      BitCast(dw, InterleaveLower(d, vec64, vfd75));
  const VW v32_b830 =  // v32[b..8] v32[3..0]
      BitCast(dw, InterleaveUpper(d, va820, vb931));
  const VW v32_fc74 =  // v32[f..c] v32[7..4]
      BitCast(dw, InterleaveUpper(d, vec64, vfd75));

v0 = BitCast(d, InterleaveLower(dw, v10_b830, v10_fc74));
  v1 = BitCast(d, InterleaveUpper(dw, v10_b830, v10_fc74));
  v2 = BitCast(d, InterleaveLower(dw, v32_b830, v32_fc74));
  v3 = BitCast(d, InterleaveUpper(dw, v32_b830, v32_fc74));
}

template <class D, HWY_IF_LANES_PER_BLOCK_D(D, 4)>
HWY_API void LoadInterleaved4(D d, const TFromD<D>* HWY_RESTRICT unaligned,
                              VFromD<D>& v0, VFromD<D>& v1, VFromD<D>& v2,
                              VFromD<D>& v3) {
  using V = VFromD<D>;
  V vA;  // v3210[4] v3210[0]
  V vB;  // v3210[5] v3210[1]
  V vC;  // v3210[6] v3210[2]
  V vD;  // v3210[7] v3210[3]
  detail::LoadTransposedBlocks4(d, unaligned, vA, vB, vC, vD);
  const V v10e = InterleaveLower(d, vA, vC);  // v1[6,4] v0[6,4] v1[2,0] v0[2,0]
  const V v10o = InterleaveLower(d, vB, vD);  // v1[7,5] v0[7,5] v1[3,1] v0[3,1]
  const V v32e = InterleaveUpper(d, vA, vC);  // v3[6,4] v2[6,4] v3[2,0] v2[2,0]
  const V v32o = InterleaveUpper(d, vB, vD);  // v3[7,5] v2[7,5] v3[3,1] v2[3,1]

v0 = InterleaveLower(d, v10e, v10o);
  v1 = InterleaveUpper(d, v10e, v10o);
  v2 = InterleaveLower(d, v32e, v32o);
  v3 = InterleaveUpper(d, v32e, v32o);
}

template <class D, HWY_IF_LANES_PER_BLOCK_D(D, 2)>
HWY_API void LoadInterleaved4(D d, const TFromD<D>* HWY_RESTRICT unaligned,
                              VFromD<D>& v0, VFromD<D>& v1, VFromD<D>& v2,
                              VFromD<D>& v3) {
  VFromD<D> vA, vB, vC, vD;
  detail::LoadTransposedBlocks4(d, unaligned, vA, vB, vC, vD);
  v0 = InterleaveLower(d, vA, vC);
  v1 = InterleaveUpper(d, vA, vC);
  v2 = InterleaveLower(d, vB, vD);
  v3 = InterleaveUpper(d, vB, vD);
}

// Any T x1
template <class D, typename T = TFromD<D>, HWY_IF_LANES_D(D, 1)>
HWY_API void LoadInterleaved4(D d, const T* HWY_RESTRICT unaligned,
                              VFromD<D>& v0, VFromD<D>& v1, VFromD<D>& v2,
                              VFromD<D>& v3) {
  v0 = LoadU(d, unaligned + 0);
  v1 = LoadU(d, unaligned + 1);
  v2 = LoadU(d, unaligned + 2);
  v3 = LoadU(d, unaligned + 3);
}

// ------------------------------ StoreInterleaved2

namespace detail {

// Default for <= 128-bit vectors; x86_256 and x86_512 have their own overload.
template <class D, HWY_IF_V_SIZE_LE_D(D, 16)>
HWY_INLINE void StoreTransposedBlocks2(VFromD<D> A, VFromD<D> B, D d,
                                       TFromD<D>* HWY_RESTRICT unaligned) {
  constexpr size_t kN = MaxLanes(d);
  StoreU(A, d, unaligned + 0 * kN);
  StoreU(B, d, unaligned + 1 * kN);
}

}  // namespace detail

// >= 128 bit vector
template <class D, HWY_IF_V_SIZE_GT_D(D, 8)>
HWY_API void StoreInterleaved2(VFromD<D> v0, VFromD<D> v1, D d,
                               TFromD<D>* HWY_RESTRICT unaligned) {
  const auto v10L = InterleaveLower(d, v0, v1);  // .. v1[0] v0[0]
  const auto v10U = InterleaveUpper(d, v0, v1);  // .. v1[kN/2] v0[kN/2]
  detail::StoreTransposedBlocks2(v10L, v10U, d, unaligned);
}

// <= 64 bits
template <class V, class D, HWY_IF_V_SIZE_LE_D(D, 8)>
HWY_API void StoreInterleaved2(V part0, V part1, D d,
                               TFromD<D>* HWY_RESTRICT unaligned) {
  const Twice<decltype(d)> d2;
  const auto v0 = ZeroExtendVector(d2, part0);
  const auto v1 = ZeroExtendVector(d2, part1);
  const auto v10 = InterleaveLower(d2, v0, v1);
  StoreU(v10, d2, unaligned);
}

// ------------------------------ StoreInterleaved3 (CombineShiftRightBytes,
// TableLookupBytes)

namespace detail {

// Default for <= 128-bit vectors; x86_256 and x86_512 have their own overload.
template <class D, HWY_IF_V_SIZE_LE_D(D, 16)>
HWY_INLINE void StoreTransposedBlocks3(VFromD<D> A, VFromD<D> B, VFromD<D> C,
                                       D d, TFromD<D>* HWY_RESTRICT unaligned) {
  constexpr size_t kN = MaxLanes(d);
  StoreU(A, d, unaligned + 0 * kN);
  StoreU(B, d, unaligned + 1 * kN);
  StoreU(C, d, unaligned + 2 * kN);
}

}  // namespace detail

// >= 128-bit vector, 8-bit lanes
template <class D, HWY_IF_T_SIZE_D(D, 1), HWY_IF_V_SIZE_GT_D(D, 8)>
HWY_API void StoreInterleaved3(VFromD<D> v0, VFromD<D> v1, VFromD<D> v2, D d,
                               TFromD<D>* HWY_RESTRICT unaligned) {
  const RebindToUnsigned<decltype(d)> du;
  using TU = TFromD<decltype(du)>;
  using VU = VFromD<decltype(du)>;
  const VU k5 = Set(du, TU{5});
  const VU k6 = Set(du, TU{6});

// Interleave (v0,v1,v2) to (MSB on left, lane 0 on right):
  // v0[5], v2[4],v1[4],v0[4] .. v2[0],v1[0],v0[0]. We're expanding v0 lanes
  // to their place, with 0x80 so lanes to be filled from other vectors are 0
  // to enable blending by ORing together.
  const VFromD<decltype(du)> shuf_A0 =
      Dup128VecFromValues(du, 0, 0x80, 0x80, 1, 0x80, 0x80, 2, 0x80, 0x80, 3,
                          0x80, 0x80, 4, 0x80, 0x80, 5);
  // Cannot reuse shuf_A0 because it contains 5.
  const VFromD<decltype(du)> shuf_A1 =
      Dup128VecFromValues(du, 0x80, 0, 0x80, 0x80, 1, 0x80, 0x80, 2, 0x80, 0x80,
                          3, 0x80, 0x80, 4, 0x80, 0x80);
  // The interleaved vectors will be named A, B, C; temporaries with suffix
  // 0..2 indicate which input vector's lanes they hold.
  // cannot reuse shuf_A0 (has 5)
  const VU shuf_A2 = CombineShiftRightBytes<15>(du, shuf_A1, shuf_A1);
  const VU vA0 = TableLookupBytesOr0(v0, shuf_A0);  // 5..4..3..2..1..0
  const VU vA1 = TableLookupBytesOr0(v1, shuf_A1);  // ..4..3..2..1..0.
  const VU vA2 = TableLookupBytesOr0(v2, shuf_A2);  // .4..3..2..1..0..
  const VFromD<D> A = BitCast(d, vA0 | vA1 | vA2);

// B: v1[10],v0[10], v2[9],v1[9],v0[9] .. , v2[6],v1[6],v0[6], v2[5],v1[5]
  const VU shuf_B0 = shuf_A2 + k6;  // .A..9..8..7..6..
  const VU shuf_B1 = shuf_A0 + k5;  // A..9..8..7..6..5
  const VU shuf_B2 = shuf_A1 + k5;  // ..9..8..7..6..5.
  const VU vB0 = TableLookupBytesOr0(v0, shuf_B0);
  const VU vB1 = TableLookupBytesOr0(v1, shuf_B1);
  const VU vB2 = TableLookupBytesOr0(v2, shuf_B2);
  const VFromD<D> B = BitCast(d, vB0 | vB1 | vB2);

// C: v2[15],v1[15],v0[15], v2[11],v1[11],v0[11], v2[10]
  const VU shuf_C0 = shuf_B2 + k6;  // ..F..E..D..C..B.
  const VU shuf_C1 = shuf_B0 + k5;  // .F..E..D..C..B..
  const VU shuf_C2 = shuf_B1 + k5;  // F..E..D..C..B..A
  const VU vC0 = TableLookupBytesOr0(v0, shuf_C0);
  const VU vC1 = TableLookupBytesOr0(v1, shuf_C1);
  const VU vC2 = TableLookupBytesOr0(v2, shuf_C2);
  const VFromD<D> C = BitCast(d, vC0 | vC1 | vC2);

detail::StoreTransposedBlocks3(A, B, C, d, unaligned);
}

// >= 128-bit vector, 16-bit lanes
template <class D, HWY_IF_T_SIZE_D(D, 2), HWY_IF_V_SIZE_GT_D(D, 8)>
HWY_API void StoreInterleaved3(VFromD<D> v0, VFromD<D> v1, VFromD<D> v2, D d,
                               TFromD<D>* HWY_RESTRICT unaligned) {
  const Repartition<uint8_t, decltype(d)> du8;
  using VU8 = VFromD<decltype(du8)>;
  const VU8 k2 = Set(du8, uint8_t{2 * sizeof(TFromD<D>)});
  const VU8 k3 = Set(du8, uint8_t{3 * sizeof(TFromD<D>)});

// Interleave (v0,v1,v2) to (MSB on left, lane 0 on right):
  // v1[2],v0[2], v2[1],v1[1],v0[1], v2[0],v1[0],v0[0]. 0x80 so lanes to be
  // filled from other vectors are 0 for blending. Note that these are byte
  // indices for 16-bit lanes.
  const VFromD<decltype(du8)> shuf_A1 =
      Dup128VecFromValues(du8, 0x80, 0x80, 0, 1, 0x80, 0x80, 0x80, 0x80, 2, 3,
                          0x80, 0x80, 0x80, 0x80, 4, 5);
  const VFromD<decltype(du8)> shuf_A2 =
      Dup128VecFromValues(du8, 0x80, 0x80, 0x80, 0x80, 0, 1, 0x80, 0x80, 0x80,
                          0x80, 2, 3, 0x80, 0x80, 0x80, 0x80);

// The interleaved vectors will be named A, B, C; temporaries with suffix
  // 0..2 indicate which input vector's lanes they hold.
  const VU8 shuf_A0 = CombineShiftRightBytes<2>(du8, shuf_A1, shuf_A1);

const VU8 A0 = TableLookupBytesOr0(v0, shuf_A0);
  const VU8 A1 = TableLookupBytesOr0(v1, shuf_A1);
  const VU8 A2 = TableLookupBytesOr0(v2, shuf_A2);
  const VFromD<D> A = BitCast(d, A0 | A1 | A2);

// B: v0[5] v2[4],v1[4],v0[4], v2[3],v1[3],v0[3], v2[2]
  const VU8 shuf_B0 = shuf_A1 + k3;  // 5..4..3.
  const VU8 shuf_B1 = shuf_A2 + k3;  // ..4..3..
  const VU8 shuf_B2 = shuf_A0 + k2;  // .4..3..2
  const VU8 vB0 = TableLookupBytesOr0(v0, shuf_B0);
  const VU8 vB1 = TableLookupBytesOr0(v1, shuf_B1);
  const VU8 vB2 = TableLookupBytesOr0(v2, shuf_B2);
  const VFromD<D> B = BitCast(d, vB0 | vB1 | vB2);

// C: v2[7],v1[7],v0[7], v2[6],v1[6],v0[6], v2[5],v1[5]
  const VU8 shuf_C0 = shuf_B1 + k3;  // ..7..6..
  const VU8 shuf_C1 = shuf_B2 + k3;  // .7..6..5
  const VU8 shuf_C2 = shuf_B0 + k2;  // 7..6..5.
  const VU8 vC0 = TableLookupBytesOr0(v0, shuf_C0);
  const VU8 vC1 = TableLookupBytesOr0(v1, shuf_C1);
  const VU8 vC2 = TableLookupBytesOr0(v2, shuf_C2);
  const VFromD<D> C = BitCast(d, vC0 | vC1 | vC2);

detail::StoreTransposedBlocks3(A, B, C, d, unaligned);
}

// >= 128-bit vector, 32-bit lanes
template <class D, HWY_IF_T_SIZE_D(D, 4), HWY_IF_V_SIZE_GT_D(D, 8)>
HWY_API void StoreInterleaved3(VFromD<D> v0, VFromD<D> v1, VFromD<D> v2, D d,
                               TFromD<D>* HWY_RESTRICT unaligned) {
  const RepartitionToWide<decltype(d)> dw;

const VFromD<D> v10_v00 = InterleaveLower(d, v0, v1);
  const VFromD<D> v01_v20 = OddEven(v0, v2);
  // A: v0[1], v2[0],v1[0],v0[0] (<- lane 0)
  const VFromD<D> A = BitCast(
      d, InterleaveLower(dw, BitCast(dw, v10_v00), BitCast(dw, v01_v20)));

const VFromD<D> v1_321 = ShiftRightLanes<1>(d, v1);
  const VFromD<D> v0_32 = ShiftRightLanes<2>(d, v0);
  const VFromD<D> v21_v11 = OddEven(v2, v1_321);
  const VFromD<D> v12_v02 = OddEven(v1_321, v0_32);
  // B: v1[2],v0[2], v2[1],v1[1]
  const VFromD<D> B = BitCast(
      d, InterleaveLower(dw, BitCast(dw, v21_v11), BitCast(dw, v12_v02)));

// Notation refers to the upper 2 lanes of the vector for InterleaveUpper.
  const VFromD<D> v23_v13 = OddEven(v2, v1_321);
  const VFromD<D> v03_v22 = OddEven(v0, v2);
  // C: v2[3],v1[3],v0[3], v2[2]
  const VFromD<D> C = BitCast(
      d, InterleaveUpper(dw, BitCast(dw, v03_v22), BitCast(dw, v23_v13)));

detail::StoreTransposedBlocks3(A, B, C, d, unaligned);
}

// >= 128-bit vector, 64-bit lanes
template <class D, HWY_IF_T_SIZE_D(D, 8), HWY_IF_V_SIZE_GT_D(D, 8)>
HWY_API void StoreInterleaved3(VFromD<D> v0, VFromD<D> v1, VFromD<D> v2, D d,
                               TFromD<D>* HWY_RESTRICT unaligned) {
  const VFromD<D> A = InterleaveLower(d, v0, v1);
  const VFromD<D> B = OddEven(v0, v2);
  const VFromD<D> C = InterleaveUpper(d, v1, v2);
  detail::StoreTransposedBlocks3(A, B, C, d, unaligned);
}

// 64-bit vector, 8-bit lanes
template <class D, HWY_IF_T_SIZE_D(D, 1), HWY_IF_V_SIZE_D(D, 8)>
HWY_API void StoreInterleaved3(VFromD<D> part0, VFromD<D> part1,
                               VFromD<D> part2, D d,
                               TFromD<D>* HWY_RESTRICT unaligned) {
  // Use full vectors for the shuffles and first result.
  constexpr size_t kFullN = 16 / sizeof(TFromD<D>);
  const Full128<uint8_t> du;
  using VU = VFromD<decltype(du)>;
  const Full128<TFromD<D>> d_full;
  const VU k5 = Set(du, uint8_t{5});
  const VU k6 = Set(du, uint8_t{6});

const VFromD<decltype(d_full)> v0{part0.raw};
  const VFromD<decltype(d_full)> v1{part1.raw};
  const VFromD<decltype(d_full)> v2{part2.raw};

// Interleave (v0,v1,v2) to (MSB on left, lane 0 on right):
  // v1[2],v0[2], v2[1],v1[1],v0[1], v2[0],v1[0],v0[0]. 0x80 so lanes to be
  // filled from other vectors are 0 for blending.
  alignas(16) static constexpr uint8_t tbl_v0[16] = {
      0, 0x80, 0x80, 1, 0x80, 0x80, 2, 0x80, 0x80,  //
      3, 0x80, 0x80, 4, 0x80, 0x80, 5};
  alignas(16) static constexpr uint8_t tbl_v1[16] = {
      0x80, 0, 0x80, 0x80, 1, 0x80,  //
      0x80, 2, 0x80, 0x80, 3, 0x80, 0x80, 4, 0x80, 0x80};
  // The interleaved vectors will be named A, B, C; temporaries with suffix
  // 0..2 indicate which input vector's lanes they hold.
  const VU shuf_A0 = Load(du, tbl_v0);
  const VU shuf_A1 = Load(du, tbl_v1);  // cannot reuse shuf_A0 (5 in MSB)
  const VU shuf_A2 = CombineShiftRightBytes<15>(du, shuf_A1, shuf_A1);
  const VU A0 = TableLookupBytesOr0(v0, shuf_A0);  // 5..4..3..2..1..0
  const VU A1 = TableLookupBytesOr0(v1, shuf_A1);  // ..4..3..2..1..0.
  const VU A2 = TableLookupBytesOr0(v2, shuf_A2);  // .4..3..2..1..0..
  const auto A = BitCast(d_full, A0 | A1 | A2);
  StoreU(A, d_full, unaligned + 0 * kFullN);

// Second (HALF) vector: v2[7],v1[7],v0[7], v2[6],v1[6],v0[6], v2[5],v1[5]
  const VU shuf_B0 = shuf_A2 + k6;  // ..7..6..
  const VU shuf_B1 = shuf_A0 + k5;  // .7..6..5
  const VU shuf_B2 = shuf_A1 + k5;  // 7..6..5.
  const VU vB0 = TableLookupBytesOr0(v0, shuf_B0);
  const VU vB1 = TableLookupBytesOr0(v1, shuf_B1);
  const VU vB2 = TableLookupBytesOr0(v2, shuf_B2);
  const VFromD<D> B{BitCast(d_full, vB0 | vB1 | vB2).raw};
  StoreU(B, d, unaligned + 1 * kFullN);
}

// 64-bit vector, 16-bit lanes
template <class D, HWY_IF_T_SIZE_D(D, 2), HWY_IF_LANES_D(D, 4)>
HWY_API void StoreInterleaved3(VFromD<D> part0, VFromD<D> part1,
                               VFromD<D> part2, D dh,
                               TFromD<D>* HWY_RESTRICT unaligned) {
  const Twice<D> d_full;
  const Full128<uint8_t> du8;
  using VU8 = VFromD<decltype(du8)>;
  const VU8 k2 = Set(du8, uint8_t{2 * sizeof(TFromD<D>)});
  const VU8 k3 = Set(du8, uint8_t{3 * sizeof(TFromD<D>)});

const VFromD<decltype(d_full)> v0{part0.raw};
  const VFromD<decltype(d_full)> v1{part1.raw};
  const VFromD<decltype(d_full)> v2{part2.raw};

// Interleave part (v0,v1,v2) to full (MSB on left, lane 0 on right):
  // v1[2],v0[2], v2[1],v1[1],v0[1], v2[0],v1[0],v0[0]. We're expanding v0 lanes
  // to their place, with 0x80 so lanes to be filled from other vectors are 0
  // to enable blending by ORing together.
  alignas(16) static constexpr uint8_t tbl_v1[16] = {
      0x80, 0x80, 0,    1,    0x80, 0x80, 0x80, 0x80,
      2,    3,    0x80, 0x80, 0x80, 0x80, 4,    5};
  alignas(16) static constexpr uint8_t tbl_v2[16] = {
      0x80, 0x80, 0x80, 0x80, 0,    1,    0x80, 0x80,
      0x80, 0x80, 2,    3,    0x80, 0x80, 0x80, 0x80};

// The interleaved vectors will be named A, B; temporaries with suffix
  // 0..2 indicate which input vector's lanes they hold.
  const VU8 shuf_A1 = Load(du8, tbl_v1);  // 2..1..0.
                                          // .2..1..0
  const VU8 shuf_A0 = CombineShiftRightBytes<2>(du8, shuf_A1, shuf_A1);
  const VU8 shuf_A2 = Load(du8, tbl_v2);  // ..1..0..

const VU8 A0 = TableLookupBytesOr0(v0, shuf_A0);
  const VU8 A1 = TableLookupBytesOr0(v1, shuf_A1);
  const VU8 A2 = TableLookupBytesOr0(v2, shuf_A2);
  const VFromD<decltype(d_full)> A = BitCast(d_full, A0 | A1 | A2);
  StoreU(A, d_full, unaligned);

// Second (HALF) vector: v2[3],v1[3],v0[3], v2[2]
  const VU8 shuf_B0 = shuf_A1 + k3;  // ..3.
  const VU8 shuf_B1 = shuf_A2 + k3;  // .3..
  const VU8 shuf_B2 = shuf_A0 + k2;  // 3..2
  const VU8 vB0 = TableLookupBytesOr0(v0, shuf_B0);
  const VU8 vB1 = TableLookupBytesOr0(v1, shuf_B1);
  const VU8 vB2 = TableLookupBytesOr0(v2, shuf_B2);
  const VFromD<decltype(d_full)> B = BitCast(d_full, vB0 | vB1 | vB2);
  StoreU(VFromD<D>{B.raw}, dh, unaligned + MaxLanes(d_full));
}

// 64-bit vector, 32-bit lanes
template <class D, HWY_IF_T_SIZE_D(D, 4), HWY_IF_LANES_D(D, 2)>
HWY_API void StoreInterleaved3(VFromD<D> v0, VFromD<D> v1, VFromD<D> v2, D d,
                               TFromD<D>* HWY_RESTRICT unaligned) {
  // (same code as 128-bit vector, 64-bit lanes)
  const VFromD<D> v10_v00 = InterleaveLower(d, v0, v1);
  const VFromD<D> v01_v20 = OddEven(v0, v2);
  const VFromD<D> v21_v11 = InterleaveUpper(d, v1, v2);
  constexpr size_t kN = MaxLanes(d);
  StoreU(v10_v00, d, unaligned + 0 * kN);
  StoreU(v01_v20, d, unaligned + 1 * kN);
  StoreU(v21_v11, d, unaligned + 2 * kN);
}

// 64-bit lanes are handled by the N=1 case below.

// <= 32-bit vector, 8-bit lanes
template <class D, HWY_IF_T_SIZE_D(D, 1), HWY_IF_V_SIZE_LE_D(D, 4),
          HWY_IF_LANES_GT_D(D, 1)>
HWY_API void StoreInterleaved3(VFromD<D> part0, VFromD<D> part1,
                               VFromD<D> part2, D d,
                               TFromD<D>* HWY_RESTRICT unaligned) {
  // Use full vectors for the shuffles and result.
  const Full128<uint8_t> du;
  using VU = VFromD<decltype(du)>;
  const Full128<TFromD<D>> d_full;

const VFromD<decltype(d_full)> v0{part0.raw};
  const VFromD<decltype(d_full)> v1{part1.raw};
  const VFromD<decltype(d_full)> v2{part2.raw};

// Interleave (v0,v1,v2). We're expanding v0 lanes to their place, with 0x80
  // so lanes to be filled from other vectors are 0 to enable blending by ORing
  // together.
  alignas(16) static constexpr uint8_t tbl_v0[16] = {
      0,    0x80, 0x80, 1,    0x80, 0x80, 2,    0x80,
      0x80, 3,    0x80, 0x80, 0x80, 0x80, 0x80, 0x80};
  // The interleaved vector will be named A; temporaries with suffix
  // 0..2 indicate which input vector's lanes they hold.
  const VU shuf_A0 = Load(du, tbl_v0);
  const VU shuf_A1 = CombineShiftRightBytes<15>(du, shuf_A0, shuf_A0);
  const VU shuf_A2 = CombineShiftRightBytes<14>(du, shuf_A0, shuf_A0);
  const VU A0 = TableLookupBytesOr0(v0, shuf_A0);  // ......3..2..1..0
  const VU A1 = TableLookupBytesOr0(v1, shuf_A1);  // .....3..2..1..0.
  const VU A2 = TableLookupBytesOr0(v2, shuf_A2);  // ....3..2..1..0..
  const VFromD<decltype(d_full)> A = BitCast(d_full, A0 | A1 | A2);
  alignas(16) TFromD<D> buf[MaxLanes(d_full)];
  StoreU(A, d_full, buf);
  CopyBytes<d.MaxBytes() * 3>(buf, unaligned);
}

// 32-bit vector, 16-bit lanes
template <class D, HWY_IF_T_SIZE_D(D, 2), HWY_IF_LANES_D(D, 2)>
HWY_API void StoreInterleaved3(VFromD<D> part0, VFromD<D> part1,
                               VFromD<D> part2, D d,
                               TFromD<D>* HWY_RESTRICT unaligned) {
  // Use full vectors for the shuffles and result.
  const Full128<uint8_t> du8;
  using VU8 = VFromD<decltype(du8)>;
  const Full128<TFromD<D>> d_full;

const VFromD<decltype(d_full)> v0{part0.raw};
  const VFromD<decltype(d_full)> v1{part1.raw};
  const VFromD<decltype(d_full)> v2{part2.raw};

// Interleave (v0,v1,v2). We're expanding v0 lanes to their place, with 0x80
  // so lanes to be filled from other vectors are 0 to enable blending by ORing
  // together.
  alignas(16) static constexpr uint8_t tbl_v2[16] = {
      0x80, 0x80, 0x80, 0x80, 0,    1,    0x80, 0x80,
      0x80, 0x80, 2,    3,    0x80, 0x80, 0x80, 0x80};
  // The interleaved vector will be named A; temporaries with suffix
  // 0..2 indicate which input vector's lanes they hold.
  const VU8 shuf_A2 = Load(du8, tbl_v2);  // ..1..0..
  const VU8 shuf_A1 =
      CombineShiftRightBytes<2>(du8, shuf_A2, shuf_A2);  // ...1..0.
  const VU8 shuf_A0 =
      CombineShiftRightBytes<4>(du8, shuf_A2, shuf_A2);  // ....1..0
  const VU8 A0 = TableLookupBytesOr0(v0, shuf_A0);       // ..1..0
  const VU8 A1 = TableLookupBytesOr0(v1, shuf_A1);       // .1..0.
  const VU8 A2 = TableLookupBytesOr0(v2, shuf_A2);       // 1..0..
  const auto A = BitCast(d_full, A0 | A1 | A2);
  alignas(16) TFromD<D> buf[MaxLanes(d_full)];
  StoreU(A, d_full, buf);
  CopyBytes<d.MaxBytes() * 3>(buf, unaligned);
}

// Single-element vector, any lane size: just store directly
template <class D, HWY_IF_LANES_D(D, 1)>
HWY_API void StoreInterleaved3(VFromD<D> v0, VFromD<D> v1, VFromD<D> v2, D d,
                               TFromD<D>* HWY_RESTRICT unaligned) {
  StoreU(v0, d, unaligned + 0);
  StoreU(v1, d, unaligned + 1);
  StoreU(v2, d, unaligned + 2);
}

// ------------------------------ StoreInterleaved4

namespace detail {

// Default for <= 128-bit vectors; x86_256 and x86_512 have their own overload.
template <class D, HWY_IF_V_SIZE_LE_D(D, 16)>
HWY_INLINE void StoreTransposedBlocks4(VFromD<D> vA, VFromD<D> vB, VFromD<D> vC,
                                       VFromD<D> vD, D d,
                                       TFromD<D>* HWY_RESTRICT unaligned) {
  constexpr size_t kN = MaxLanes(d);
  StoreU(vA, d, unaligned + 0 * kN);
  StoreU(vB, d, unaligned + 1 * kN);
  StoreU(vC, d, unaligned + 2 * kN);
  StoreU(vD, d, unaligned + 3 * kN);
}

}  // namespace detail

// >= 128-bit vector, 8..32-bit lanes
template <class D, HWY_IF_NOT_T_SIZE_D(D, 8), HWY_IF_V_SIZE_GT_D(D, 8)>
HWY_API void StoreInterleaved4(VFromD<D> v0, VFromD<D> v1, VFromD<D> v2,
                               VFromD<D> v3, D d,
                               TFromD<D>* HWY_RESTRICT unaligned) {
  const RepartitionToWide<decltype(d)> dw;
  const auto v10L = ZipLower(dw, v0, v1);  // .. v1[0] v0[0]
  const auto v32L = ZipLower(dw, v2, v3);
  const auto v10U = ZipUpper(dw, v0, v1);
  const auto v32U = ZipUpper(dw, v2, v3);
  // The interleaved vectors are vA, vB, vC, vD.
  const VFromD<D> vA = BitCast(d, InterleaveLower(dw, v10L, v32L));  // 3210
  const VFromD<D> vB = BitCast(d, InterleaveUpper(dw, v10L, v32L));
  const VFromD<D> vC = BitCast(d, InterleaveLower(dw, v10U, v32U));
  const VFromD<D> vD = BitCast(d, InterleaveUpper(dw, v10U, v32U));
  detail::StoreTransposedBlocks4(vA, vB, vC, vD, d, unaligned);
}

// >= 128-bit vector, 64-bit lanes
template <class D, HWY_IF_T_SIZE_D(D, 8), HWY_IF_V_SIZE_GT_D(D, 8)>
HWY_API void StoreInterleaved4(VFromD<D> v0, VFromD<D> v1, VFromD<D> v2,
                               VFromD<D> v3, D d,
                               TFromD<D>* HWY_RESTRICT unaligned) {
  // The interleaved vectors are vA, vB, vC, vD.
  const VFromD<D> vA = InterleaveLower(d, v0, v1);  // v1[0] v0[0]
  const VFromD<D> vB = InterleaveLower(d, v2, v3);
  const VFromD<D> vC = InterleaveUpper(d, v0, v1);
  const VFromD<D> vD = InterleaveUpper(d, v2, v3);
  detail::StoreTransposedBlocks4(vA, vB, vC, vD, d, unaligned);
}

// 64-bit vector, 8..32-bit lanes
template <class D, HWY_IF_NOT_T_SIZE_D(D, 8), HWY_IF_V_SIZE_D(D, 8)>
HWY_API void StoreInterleaved4(VFromD<D> part0, VFromD<D> part1,
                               VFromD<D> part2, VFromD<D> part3, D /* tag */,
                               TFromD<D>* HWY_RESTRICT unaligned) {
  // Use full vectors to reduce the number of stores.
  const Full128<TFromD<D>> d_full;
  const RepartitionToWide<decltype(d_full)> dw;
  const VFromD<decltype(d_full)> v0{part0.raw};
  const VFromD<decltype(d_full)> v1{part1.raw};
  const VFromD<decltype(d_full)> v2{part2.raw};
  const VFromD<decltype(d_full)> v3{part3.raw};
  const auto v10 = ZipLower(dw, v0, v1);  // v1[0] v0[0]
  const auto v32 = ZipLower(dw, v2, v3);
  const auto A = BitCast(d_full, InterleaveLower(dw, v10, v32));
  const auto B = BitCast(d_full, InterleaveUpper(dw, v10, v32));
  StoreU(A, d_full, unaligned);
  StoreU(B, d_full, unaligned + MaxLanes(d_full));
}

// 64-bit vector, 64-bit lane
template <class D, HWY_IF_T_SIZE_D(D, 8), HWY_IF_LANES_D(D, 1)>
HWY_API void StoreInterleaved4(VFromD<D> part0, VFromD<D> part1,
                               VFromD<D> part2, VFromD<D> part3, D /* tag */,
                               TFromD<D>* HWY_RESTRICT unaligned) {
  // Use full vectors to reduce the number of stores.
  const Full128<TFromD<D>> d_full;
  const VFromD<decltype(d_full)> v0{part0.raw};
  const VFromD<decltype(d_full)> v1{part1.raw};
  const VFromD<decltype(d_full)> v2{part2.raw};
  const VFromD<decltype(d_full)> v3{part3.raw};
  const auto A = InterleaveLower(d_full, v0, v1);  // v1[0] v0[0]
  const auto B = InterleaveLower(d_full, v2, v3);
  StoreU(A, d_full, unaligned);
  StoreU(B, d_full, unaligned + MaxLanes(d_full));
}

// <= 32-bit vectors
template <class D, HWY_IF_V_SIZE_LE_D(D, 4)>
HWY_API void StoreInterleaved4(VFromD<D> part0, VFromD<D> part1,
                               VFromD<D> part2, VFromD<D> part3, D d,
                               TFromD<D>* HWY_RESTRICT unaligned) {
  // Use full vectors to reduce the number of stores.
  const Full128<TFromD<D>> d_full;
  const RepartitionToWide<decltype(d_full)> dw;
  const VFromD<decltype(d_full)> v0{part0.raw};
  const VFromD<decltype(d_full)> v1{part1.raw};
  const VFromD<decltype(d_full)> v2{part2.raw};
  const VFromD<decltype(d_full)> v3{part3.raw};
  const auto v10 = ZipLower(dw, v0, v1);  // .. v1[0] v0[0]
  const auto v32 = ZipLower(dw, v2, v3);
  const auto v3210 = BitCast(d_full, InterleaveLower(dw, v10, v32));
  alignas(16) TFromD<D> buf[MaxLanes(d_full)];
  StoreU(v3210, d_full, buf);
  CopyBytes<d.MaxBytes() * 4>(buf, unaligned);
}

#endif  // HWY_NATIVE_LOAD_STORE_INTERLEAVED

// ------------------------------ PairwiseAdd/PairwiseSub
#if (defined(HWY_NATIVE_PAIRWISE_ADD) == defined(HWY_TARGET_TOGGLE))
#ifdef HWY_NATIVE_PAIRWISE_ADD
#undef HWY_NATIVE_PAIRWISE_ADD
#else
#define HWY_NATIVE_PAIRWISE_ADD
#endif

template <class D, class V = VFromD<D>(), HWY_IF_LANES_GT_D(D, 1)>
HWY_API V PairwiseAdd(D d, V a, V b) {
  return Add(InterleaveEven(d, a, b), InterleaveOdd(d, a, b));
}

#endif

#if (defined(HWY_NATIVE_PAIRWISE_SUB) == defined(HWY_TARGET_TOGGLE))
#ifdef HWY_NATIVE_PAIRWISE_SUB
#undef HWY_NATIVE_PAIRWISE_SUB
#else
#define HWY_NATIVE_PAIRWISE_SUB
#endif

template <class D, class V = VFromD<D>(), HWY_IF_LANES_GT_D(D, 1)>
HWY_API V PairwiseSub(D d, V a, V b) {
  return Sub(InterleaveOdd(d, a, b), InterleaveEven(d, a, b));
}

#endif

// Load/StoreInterleaved for special floats. Requires HWY_GENERIC_IF_EMULATED_D
// is defined such that it is true only for types that actually require these
// generic implementations.
#if HWY_IDE || (defined(HWY_NATIVE_LOAD_STORE_SPECIAL_FLOAT_INTERLEAVED) == \
                    defined(HWY_TARGET_TOGGLE) &&                           \
                defined(HWY_GENERIC_IF_EMULATED_D))
#ifdef HWY_NATIVE_LOAD_STORE_SPECIAL_FLOAT_INTERLEAVED
#undef HWY_NATIVE_LOAD_STORE_SPECIAL_FLOAT_INTERLEAVED
#else
#define HWY_NATIVE_LOAD_STORE_SPECIAL_FLOAT_INTERLEAVED
#endif
#if HWY_IDE
#define HWY_GENERIC_IF_EMULATED_D(D) int
#endif

template <class D, HWY_GENERIC_IF_EMULATED_D(D), typename T = TFromD<D>>
HWY_API void LoadInterleaved2(D d, const T* HWY_RESTRICT unaligned,
                              VFromD<D>& v0, VFromD<D>& v1) {
  const RebindToUnsigned<decltype(d)> du;
  VFromD<decltype(du)> vu0, vu1;
  LoadInterleaved2(du, detail::U16LanePointer(unaligned), vu0, vu1);
  v0 = BitCast(d, vu0);
  v1 = BitCast(d, vu1);
}

template <class D, HWY_GENERIC_IF_EMULATED_D(D), typename T = TFromD<D>>
HWY_API void LoadInterleaved3(D d, const T* HWY_RESTRICT unaligned,
                              VFromD<D>& v0, VFromD<D>& v1, VFromD<D>& v2) {
  const RebindToUnsigned<decltype(d)> du;
  VFromD<decltype(du)> vu0, vu1, vu2;
  LoadInterleaved3(du, detail::U16LanePointer(unaligned), vu0, vu1, vu2);
  v0 = BitCast(d, vu0);
  v1 = BitCast(d, vu1);
  v2 = BitCast(d, vu2);
}

template <class D, HWY_GENERIC_IF_EMULATED_D(D), typename T = TFromD<D>>
HWY_API void LoadInterleaved4(D d, const T* HWY_RESTRICT unaligned,
                              VFromD<D>& v0, VFromD<D>& v1, VFromD<D>& v2,
                              VFromD<D>& v3) {
  const RebindToUnsigned<decltype(d)> du;
  VFromD<decltype(du)> vu0, vu1, vu2, vu3;
  LoadInterleaved4(du, detail::U16LanePointer(unaligned), vu0, vu1, vu2, vu3);
  v0 = BitCast(d, vu0);
  v1 = BitCast(d, vu1);
  v2 = BitCast(d, vu2);
  v3 = BitCast(d, vu3);
}

template <class D, HWY_GENERIC_IF_EMULATED_D(D), typename T = TFromD<D>>
HWY_API void StoreInterleaved2(VFromD<D> v0, VFromD<D> v1, D d,
                               T* HWY_RESTRICT unaligned) {
  const RebindToUnsigned<decltype(d)> du;
  StoreInterleaved2(BitCast(du, v0), BitCast(du, v1), du,
                    detail::U16LanePointer(unaligned));
}

template <class D, HWY_GENERIC_IF_EMULATED_D(D), typename T = TFromD<D>>
HWY_API void StoreInterleaved3(VFromD<D> v0, VFromD<D> v1, VFromD<D> v2, D d,
                               T* HWY_RESTRICT unaligned) {
  const RebindToUnsigned<decltype(d)> du;
  StoreInterleaved3(BitCast(du, v0), BitCast(du, v1), BitCast(du, v2), du,
                    detail::U16LanePointer(unaligned));
}

template <class D, HWY_GENERIC_IF_EMULATED_D(D), typename T = TFromD<D>>
HWY_API void StoreInterleaved4(VFromD<D> v0, VFromD<D> v1, VFromD<D> v2,
                               VFromD<D> v3, D d, T* HWY_RESTRICT unaligned) {
  const RebindToUnsigned<decltype(d)> du;
  StoreInterleaved4(BitCast(du, v0), BitCast(du, v1), BitCast(du, v2),
                    BitCast(du, v3), du, detail::U16LanePointer(unaligned));
}

#endif  // HWY_NATIVE_LOAD_STORE_SPECIAL_FLOAT_INTERLEAVED

// ------------------------------ LoadN

#if (defined(HWY_NATIVE_LOAD_N) == defined(HWY_TARGET_TOGGLE))

#ifdef HWY_NATIVE_LOAD_N
#undef HWY_NATIVE_LOAD_N
#else
#define HWY_NATIVE_LOAD_N
#endif

#if HWY_MEM_OPS_MIGHT_FAULT && !HWY_HAVE_SCALABLE
namespace detail {

template <class DTo, class DFrom>
HWY_INLINE VFromD<DTo> LoadNResizeBitCast(DTo d_to, DFrom d_from,
                                          VFromD<DFrom> v) {
#if HWY_TARGET <= HWY_SSE2
  // On SSE2/SSSE3/SSE4, the LoadU operation will zero out any lanes of v.raw
  // past the first (lowest-index) Lanes(d_from) lanes of v.raw if
  // sizeof(decltype(v.raw)) > d_from.MaxBytes() is true
  (void)d_from;
  return ResizeBitCast(d_to, v);
#else
  // On other targets such as PPC/NEON, the contents of any lanes past the first
  // (lowest-index) Lanes(d_from) lanes of v.raw might be non-zero if
  // sizeof(decltype(v.raw)) > d_from.MaxBytes() is true.
  return ZeroExtendResizeBitCast(d_to, d_from, v);
#endif
}

}  // namespace detail

template <class D, HWY_IF_V_SIZE_LE_D(D, 16), HWY_IF_LANES_D(D, 1),
          HWY_IF_NOT_BF16_D(D)>
HWY_API VFromD<D> LoadN(D d, const TFromD<D>* HWY_RESTRICT p,
                        size_t num_lanes) {
  return (num_lanes > 0) ? LoadU(d, p) : Zero(d);
}

template <class D, HWY_IF_V_SIZE_LE_D(D, 16), HWY_IF_LANES_D(D, 1),
          HWY_IF_NOT_BF16_D(D)>
HWY_API VFromD<D> LoadNOr(VFromD<D> no, D d, const TFromD<D>* HWY_RESTRICT p,
                          size_t num_lanes) {
  return (num_lanes > 0) ? LoadU(d, p) : no;
}

template <class D, HWY_IF_V_SIZE_LE_D(D, 16), HWY_IF_LANES_D(D, 2),
          HWY_IF_NOT_BF16_D(D)>
HWY_API VFromD<D> LoadN(D d, const TFromD<D>* HWY_RESTRICT p,
                        size_t num_lanes) {
  const FixedTag<TFromD<D>, 1> d1;

if (num_lanes >= 2) return LoadU(d, p);
  if (num_lanes == 0) return Zero(d);
  return detail::LoadNResizeBitCast(d, d1, LoadU(d1, p));
}

template <class D, HWY_IF_V_SIZE_LE_D(D, 16), HWY_IF_LANES_D(D, 2),
          HWY_IF_NOT_BF16_D(D)>
HWY_API VFromD<D> LoadNOr(VFromD<D> no, D d, const TFromD<D>* HWY_RESTRICT p,
                          size_t num_lanes) {
  const FixedTag<TFromD<D>, 1> d1;

if (num_lanes >= 2) return LoadU(d, p);
  if (num_lanes == 0) return no;
  return InterleaveLower(ResizeBitCast(d, LoadU(d1, p)), no);
}

template <class D, HWY_IF_V_SIZE_LE_D(D, 16), HWY_IF_LANES_D(D, 4),
          HWY_IF_NOT_BF16_D(D)>
HWY_API VFromD<D> LoadN(D d, const TFromD<D>* HWY_RESTRICT p,
                        size_t num_lanes) {
  const FixedTag<TFromD<D>, 2> d2;
  const Half<decltype(d2)> d1;

if (num_lanes >= 4) return LoadU(d, p);
  if (num_lanes == 0) return Zero(d);
  if (num_lanes == 1) return detail::LoadNResizeBitCast(d, d1, LoadU(d1, p));

// Two or three lanes.
  const VFromD<D> v_lo = detail::LoadNResizeBitCast(d, d2, LoadU(d2, p));
  return (num_lanes == 2) ? v_lo : InsertLane(v_lo, 2, p[2]);
}

template <class D, HWY_IF_V_SIZE_LE_D(D, 16), HWY_IF_LANES_D(D, 4),
          HWY_IF_NOT_BF16_D(D)>
HWY_API VFromD<D> LoadNOr(VFromD<D> no, D d, const TFromD<D>* HWY_RESTRICT p,
                          size_t num_lanes) {
  const FixedTag<TFromD<D>, 2> d2;

if (num_lanes >= 4) return LoadU(d, p);
  if (num_lanes == 0) return no;
  if (num_lanes == 1) return InsertLane(no, 0, p[0]);

// Two or three lanes.
  const VFromD<D> v_lo =
      ConcatUpperLower(d, no, ResizeBitCast(d, LoadU(d2, p)));
  return (num_lanes == 2) ? v_lo : InsertLane(v_lo, 2, p[2]);
}

template <class D, HWY_IF_V_SIZE_LE_D(D, 16), HWY_IF_LANES_D(D, 8),
          HWY_IF_NOT_BF16_D(D)>
HWY_API VFromD<D> LoadN(D d, const TFromD<D>* HWY_RESTRICT p,
                        size_t num_lanes) {
  const FixedTag<TFromD<D>, 4> d4;
  const Half<decltype(d4)> d2;
  const Half<decltype(d2)> d1;

if (num_lanes >= 8) return LoadU(d, p);
  if (num_lanes == 0) return Zero(d);
  if (num_lanes == 1) return detail::LoadNResizeBitCast(d, d1, LoadU(d1, p));

const size_t leading_len = num_lanes & 4;
  VFromD<decltype(d4)> v_trailing = Zero(d4);

if ((num_lanes & 2) != 0) {
    const VFromD<decltype(d2)> v_trailing_lo2 = LoadU(d2, p + leading_len);
    if ((num_lanes & 1) != 0) {
      v_trailing = Combine(
          d4,
          detail::LoadNResizeBitCast(d2, d1, LoadU(d1, p + leading_len + 2)),
          v_trailing_lo2);
    } else {
      v_trailing = detail::LoadNResizeBitCast(d4, d2, v_trailing_lo2);
    }
  } else if ((num_lanes & 1) != 0) {
    v_trailing = detail::LoadNResizeBitCast(d4, d1, LoadU(d1, p + leading_len));
  }

if (leading_len != 0) {
    return Combine(d, v_trailing, LoadU(d4, p));
  } else {
    return detail::LoadNResizeBitCast(d, d4, v_trailing);
  }
}

template <class D, HWY_IF_V_SIZE_LE_D(D, 16), HWY_IF_LANES_D(D, 8),
          HWY_IF_NOT_BF16_D(D)>
HWY_API VFromD<D> LoadNOr(VFromD<D> no, D d, const TFromD<D>* HWY_RESTRICT p,
                          size_t num_lanes) {
  const FixedTag<TFromD<D>, 4> d4;
  const Half<decltype(d4)> d2;
  const Half<decltype(d2)> d1;

if (num_lanes >= 8) return LoadU(d, p);
  if (num_lanes == 0) return no;
  if (num_lanes == 1) return InsertLane(no, 0, p[0]);

const size_t leading_len = num_lanes & 4;
  VFromD<decltype(d4)> v_trailing = ResizeBitCast(d4, no);

if ((num_lanes & 2) != 0) {
    const VFromD<decltype(d2)> v_trailing_lo2 = LoadU(d2, p + leading_len);
    if ((num_lanes & 1) != 0) {
      v_trailing = Combine(
          d4,
          InterleaveLower(ResizeBitCast(d2, LoadU(d1, p + leading_len + 2)),
                          ResizeBitCast(d2, no)),
          v_trailing_lo2);
    } else {
      v_trailing = ConcatUpperLower(d4, ResizeBitCast(d4, no),
                                    ResizeBitCast(d4, v_trailing_lo2));
    }
  } else if ((num_lanes & 1) != 0) {
    v_trailing = InsertLane(ResizeBitCast(d4, no), 0, p[leading_len]);
  }

if (leading_len != 0) {
    return Combine(d, v_trailing, LoadU(d4, p));
  } else {
    return ConcatUpperLower(d, no, ResizeBitCast(d, v_trailing));
  }
}

template <class D, HWY_IF_V_SIZE_LE_D(D, 16), HWY_IF_LANES_D(D, 16),
          HWY_IF_NOT_BF16_D(D)>
HWY_API VFromD<D> LoadN(D d, const TFromD<D>* HWY_RESTRICT p,
                        size_t num_lanes) {
  const FixedTag<TFromD<D>, 8> d8;
  const Half<decltype(d8)> d4;
  const Half<decltype(d4)> d2;
  const Half<decltype(d2)> d1;

if (num_lanes >= 16) return LoadU(d, p);
  if (num_lanes == 0) return Zero(d);
  if (num_lanes == 1) return detail::LoadNResizeBitCast(d, d1, LoadU(d1, p));

const size_t leading_len = num_lanes & 12;
  VFromD<decltype(d4)> v_trailing = Zero(d4);

if (leading_len != 0) {
    if (leading_len >= 8) {
      const VFromD<decltype(d8)> v_hi7 =
          ((leading_len & 4) != 0)
              ? Combine(d8, v_trailing, LoadU(d4, p + 8))
              : detail::LoadNResizeBitCast(d8, d4, v_trailing);
      return Combine(d, v_hi7, LoadU(d8, p));
    } else {
      return detail::LoadNResizeBitCast(d, d8,
                                        Combine(d8, v_trailing, LoadU(d4, p)));
    }
  } else {
    return detail::LoadNResizeBitCast(d, d4, v_trailing);
  }
}

template <class D, HWY_IF_V_SIZE_LE_D(D, 16), HWY_IF_LANES_D(D, 16),
          HWY_IF_NOT_BF16_D(D)>
HWY_API VFromD<D> LoadNOr(VFromD<D> no, D d, const TFromD<D>* HWY_RESTRICT p,
                          size_t num_lanes) {
  const FixedTag<TFromD<D>, 8> d8;
  const Half<decltype(d8)> d4;
  const Half<decltype(d4)> d2;
  const Half<decltype(d2)> d1;

if (num_lanes >= 16) return LoadU(d, p);
  if (num_lanes == 0) return no;
  if (num_lanes == 1) return InsertLane(no, 0, p[0]);

const size_t leading_len = num_lanes & 12;
  VFromD<decltype(d4)> v_trailing = ResizeBitCast(d4, no);

if (leading_len != 0) {
    if (leading_len >= 8) {
      const VFromD<decltype(d8)> v_hi7 =
          ((leading_len & 4) != 0)
              ? Combine(d8, v_trailing, LoadU(d4, p + 8))
              : ConcatUpperLower(d8, ResizeBitCast(d8, no),
                                 ResizeBitCast(d8, v_trailing));
      return Combine(d, v_hi7, LoadU(d8, p));
    } else {
      return ConcatUpperLower(
          d, ResizeBitCast(d, no),
          ResizeBitCast(d, Combine(d8, v_trailing, LoadU(d4, p))));
    }
  } else {
    const Repartition<uint32_t, D> du32;
    // lowest 4 bytes from v_trailing, next 4 from no.
    const VFromD<decltype(du32)> lo8 =
        InterleaveLower(ResizeBitCast(du32, v_trailing), BitCast(du32, no));
    return ConcatUpperLower(d, ResizeBitCast(d, no), ResizeBitCast(d, lo8));
  }
}

#if HWY_MAX_BYTES >= 32

template <class D, HWY_IF_V_SIZE_GT_D(D, 16), HWY_IF_NOT_BF16_D(D)>
HWY_API VFromD<D> LoadN(D d, const TFromD<D>* HWY_RESTRICT p,
                        size_t num_lanes) {
  if (num_lanes >= Lanes(d)) return LoadU(d, p);

const Half<decltype(d)> dh;
  const size_t half_N = Lanes(dh);
  if (num_lanes <= half_N) {
    return ZeroExtendVector(d, LoadN(dh, p, num_lanes));
  } else {
    const VFromD<decltype(dh)> v_lo = LoadU(dh, p);
    const VFromD<decltype(dh)> v_hi = LoadN(dh, p + half_N, num_lanes - half_N);
    return Combine(d, v_hi, v_lo);
  }
}

template <class D, HWY_IF_V_SIZE_GT_D(D, 16), HWY_IF_NOT_BF16_D(D)>
HWY_API VFromD<D> LoadNOr(VFromD<D> no, D d, const TFromD<D>* HWY_RESTRICT p,
                          size_t num_lanes) {
  if (num_lanes >= Lanes(d)) return LoadU(d, p);

const Half<decltype(d)> dh;
  const size_t half_N = Lanes(dh);
  const VFromD<decltype(dh)> no_h = LowerHalf(no);
  if (num_lanes <= half_N) {
    return ConcatUpperLower(d, no,
                            ResizeBitCast(d, LoadNOr(no_h, dh, p, num_lanes)));
  } else {
    const VFromD<decltype(dh)> v_lo = LoadU(dh, p);
    const VFromD<decltype(dh)> v_hi =
        LoadNOr(no_h, dh, p + half_N, num_lanes - half_N);
    return Combine(d, v_hi, v_lo);
  }
}

#endif  // HWY_MAX_BYTES >= 32

template <class D, HWY_IF_BF16_D(D)>
HWY_API VFromD<D> LoadN(D d, const TFromD<D>* HWY_RESTRICT p,
                        size_t num_lanes) {
  const RebindToUnsigned<D> du;
  return BitCast(d, LoadN(du, detail::U16LanePointer(p), num_lanes));
}

template <class D, HWY_IF_BF16_D(D)>
HWY_API VFromD<D> LoadNOr(VFromD<D> no, D d, const TFromD<D>* HWY_RESTRICT p,
                          size_t num_lanes) {
  const RebindToUnsigned<D> du;
  return BitCast(
      d, LoadNOr(BitCast(du, no), du, detail::U16LanePointer(p), num_lanes));
}

#else  // !HWY_MEM_OPS_MIGHT_FAULT || HWY_HAVE_SCALABLE

// For SVE and non-sanitizer AVX-512; RVV has its own specialization.
template <class D>
HWY_API VFromD<D> LoadN(D d, const TFromD<D>* HWY_RESTRICT p,
                        size_t num_lanes) {
#if HWY_MEM_OPS_MIGHT_FAULT
  if (num_lanes <= 0) return Zero(d);
#endif

return MaskedLoad(FirstN(d, num_lanes), d, p);
}

template <class D>
HWY_API VFromD<D> LoadNOr(VFromD<D> no, D d, const TFromD<D>* HWY_RESTRICT p,
                          size_t num_lanes) {
#if HWY_MEM_OPS_MIGHT_FAULT
  if (num_lanes <= 0) return no;
#endif

return MaskedLoadOr(no, FirstN(d, num_lanes), d, p);
}

#endif  // HWY_MEM_OPS_MIGHT_FAULT && !HWY_HAVE_SCALABLE
#endif  // HWY_NATIVE_LOAD_N

// ------------------------------ StoreN
#if (defined(HWY_NATIVE_STORE_N) == defined(HWY_TARGET_TOGGLE))
#ifdef HWY_NATIVE_STORE_N
#undef HWY_NATIVE_STORE_N
#else
#define HWY_NATIVE_STORE_N
#endif

#if HWY_MEM_OPS_MIGHT_FAULT && !HWY_HAVE_SCALABLE
namespace detail {

template <class DH, HWY_IF_V_SIZE_LE_D(DH, 4)>
HWY_INLINE VFromD<DH> StoreNGetUpperHalf(DH dh, VFromD<Twice<DH>> v) {
  constexpr size_t kMinShrVectBytes = HWY_TARGET_IS_NEON ? 8 : 16;
  const FixedTag<uint8_t, kMinShrVectBytes> d_shift;
  return ResizeBitCast(
      dh, ShiftRightBytes<dh.MaxBytes()>(d_shift, ResizeBitCast(d_shift, v)));
}

template <class DH, HWY_IF_V_SIZE_GT_D(DH, 4)>
HWY_INLINE VFromD<DH> StoreNGetUpperHalf(DH dh, VFromD<Twice<DH>> v) {
  return UpperHalf(dh, v);
}

}  // namespace detail

template <class D, HWY_IF_V_SIZE_LE_D(D, 16), HWY_IF_LANES_D(D, 1),
          typename T = TFromD<D>>
HWY_API void StoreN(VFromD<D> v, D d, T* HWY_RESTRICT p,
                    size_t max_lanes_to_store) {
  if (max_lanes_to_store > 0) {
    StoreU(v, d, p);
  }
}

template <class D, HWY_IF_V_SIZE_LE_D(D, 16), HWY_IF_LANES_D(D, 2),
          typename T = TFromD<D>>
HWY_API void StoreN(VFromD<D> v, D d, T* HWY_RESTRICT p,
                    size_t max_lanes_to_store) {
  if (max_lanes_to_store > 1) {
    StoreU(v, d, p);
  } else if (max_lanes_to_store == 1) {
    const FixedTag<TFromD<D>, 1> d1;
    StoreU(LowerHalf(d1, v), d1, p);
  }
}

template <class D, HWY_IF_V_SIZE_LE_D(D, 16), HWY_IF_LANES_D(D, 4),
          typename T = TFromD<D>>
HWY_API void StoreN(VFromD<D> v, D d, T* HWY_RESTRICT p,
                    size_t max_lanes_to_store) {
  const FixedTag<TFromD<D>, 2> d2;
  const Half<decltype(d2)> d1;

if (max_lanes_to_store > 1) {
    if (max_lanes_to_store >= 4) {
      StoreU(v, d, p);
    } else {
      StoreU(ResizeBitCast(d2, v), d2, p);
      if (max_lanes_to_store == 3) {
        StoreU(ResizeBitCast(d1, detail::StoreNGetUpperHalf(d2, v)), d1, p + 2);
      }
    }
  } else if (max_lanes_to_store == 1) {
    StoreU(ResizeBitCast(d1, v), d1, p);
  }
}

template <class D, HWY_IF_V_SIZE_LE_D(D, 16), HWY_IF_LANES_D(D, 8),
          typename T = TFromD<D>>
HWY_API void StoreN(VFromD<D> v, D d, T* HWY_RESTRICT p,
                    size_t max_lanes_to_store) {
  const FixedTag<TFromD<D>, 4> d4;
  const Half<decltype(d4)> d2;
  const Half<decltype(d2)> d1;

if (max_lanes_to_store <= 1) {
    if (max_lanes_to_store == 1) {
      StoreU(ResizeBitCast(d1, v), d1, p);
    }
  } else if (max_lanes_to_store >= 8) {
    StoreU(v, d, p);
  } else if (max_lanes_to_store >= 4) {
    StoreU(LowerHalf(d4, v), d4, p);
    StoreN(detail::StoreNGetUpperHalf(d4, v), d4, p + 4,
           max_lanes_to_store - 4);
  } else {
    StoreN(LowerHalf(d4, v), d4, p, max_lanes_to_store);
  }
}

template <class D, HWY_IF_V_SIZE_LE_D(D, 16), HWY_IF_LANES_D(D, 16),
          typename T = TFromD<D>>
HWY_API void StoreN(VFromD<D> v, D d, T* HWY_RESTRICT p,
                    size_t max_lanes_to_store) {
  const FixedTag<TFromD<D>, 8> d8;
  const Half<decltype(d8)> d4;
  const Half<decltype(d4)> d2;
  const Half<decltype(d2)> d1;

if (max_lanes_to_store <= 1) {
    if (max_lanes_to_store == 1) {
      StoreU(ResizeBitCast(d1, v), d1, p);
    }
  } else if (max_lanes_to_store >= 16) {
    StoreU(v, d, p);
  } else if (max_lanes_to_store >= 8) {
    StoreU(LowerHalf(d8, v), d8, p);
    StoreN(detail::StoreNGetUpperHalf(d8, v), d8, p + 8,
           max_lanes_to_store - 8);
  } else {
    StoreN(LowerHalf(d8, v), d8, p, max_lanes_to_store);
  }
}

#if HWY_MAX_BYTES >= 32
template <class D, HWY_IF_V_SIZE_GT_D(D, 16), typename T = TFromD<D>>
HWY_API void StoreN(VFromD<D> v, D d, T* HWY_RESTRICT p,
                    size_t max_lanes_to_store) {
  const size_t N = Lanes(d);
  if (max_lanes_to_store >= N) {
    StoreU(v, d, p);
    return;
  }

const Half<decltype(d)> dh;
  const size_t half_N = Lanes(dh);
  if (max_lanes_to_store <= half_N) {
    StoreN(LowerHalf(dh, v), dh, p, max_lanes_to_store);
  } else {
    StoreU(LowerHalf(dh, v), dh, p);
    StoreN(UpperHalf(dh, v), dh, p + half_N, max_lanes_to_store - half_N);
  }
}
#endif  // HWY_MAX_BYTES >= 32

#else  // !HWY_MEM_OPS_MIGHT_FAULT || HWY_HAVE_SCALABLE
template <class D, typename T = TFromD<D>>
HWY_API void StoreN(VFromD<D> v, D d, T* HWY_RESTRICT p,
                    size_t max_lanes_to_store) {
  const size_t N = Lanes(d);
  const size_t clamped_max_lanes_to_store = HWY_MIN(max_lanes_to_store, N);
#if HWY_MEM_OPS_MIGHT_FAULT
  if (clamped_max_lanes_to_store == 0) return;
#endif

BlendedStore(v, FirstN(d, clamped_max_lanes_to_store), d, p);

detail::MaybeUnpoison(p, clamped_max_lanes_to_store);
}
#endif  // HWY_MEM_OPS_MIGHT_FAULT && !HWY_HAVE_SCALABLE

#endif  // (defined(HWY_NATIVE_STORE_N) == defined(HWY_TARGET_TOGGLE))

// ------------------------------ TruncateStore
#if (defined(HWY_NATIVE_STORE_TRUNCATED) == defined(HWY_TARGET_TOGGLE))
#ifdef HWY_NATIVE_STORE_TRUNCATED
#undef HWY_NATIVE_STORE_TRUNCATED
#else
#define HWY_NATIVE_STORE_TRUNCATED
#endif

template <class D, class T, HWY_IF_T_SIZE_GT_D(D, sizeof(T)),
          HWY_IF_NOT_FLOAT_NOR_SPECIAL_D(D)>
HWY_API void TruncateStore(VFromD<D> v, const D /*d*/, T* HWY_RESTRICT p) {
  using DTo = Rebind<T, D>;
  DTo dsmall;
  StoreU(TruncateTo(dsmall, v), dsmall, p);
}

#endif  // (defined(HWY_NATIVE_STORE_TRUNCATED) == defined(HWY_TARGET_TOGGLE))

// ------------------------------ Scatter

#if (defined(HWY_NATIVE_SCATTER) == defined(HWY_TARGET_TOGGLE))
#ifdef HWY_NATIVE_SCATTER
#undef HWY_NATIVE_SCATTER
#else
#define HWY_NATIVE_SCATTER
#endif

template <class D, typename T = TFromD<D>>
HWY_API void ScatterOffset(VFromD<D> v, D d, T* HWY_RESTRICT base,
                           VFromD<RebindToSigned<D>> offset) {
  const RebindToSigned<decltype(d)> di;
  using TI = TFromD<decltype(di)>;
  static_assert(sizeof(T) == sizeof(TI), "Index/lane size must match");

HWY_ALIGN T lanes[MaxLanes(d)];
  Store(v, d, lanes);

HWY_ALIGN TI offset_lanes[MaxLanes(d)];
  Store(offset, di, offset_lanes);

uint8_t* base_bytes = reinterpret_cast<uint8_t*>(base);
  for (size_t i = 0; i < MaxLanes(d); ++i) {
    CopyBytes<sizeof(T)>(&lanes[i], base_bytes + offset_lanes[i]);
  }
}

template <class D, typename T = TFromD<D>>
HWY_API void ScatterIndex(VFromD<D> v, D d, T* HWY_RESTRICT base,
                          VFromD<RebindToSigned<D>> index) {
  const RebindToSigned<decltype(d)> di;
  using TI = TFromD<decltype(di)>;
  static_assert(sizeof(T) == sizeof(TI), "Index/lane size must match");

HWY_ALIGN T lanes[MaxLanes(d)];
  Store(v, d, lanes);

HWY_ALIGN TI index_lanes[MaxLanes(d)];
  Store(index, di, index_lanes);

for (size_t i = 0; i < MaxLanes(d); ++i) {
    base[index_lanes[i]] = lanes[i];
  }
}

template <class D, typename T = TFromD<D>>
HWY_API void MaskedScatterIndex(VFromD<D> v, MFromD<D> m, D d,
                                T* HWY_RESTRICT base,
                                VFromD<RebindToSigned<D>> index) {
  const RebindToSigned<decltype(d)> di;
  using TI = TFromD<decltype(di)>;
  static_assert(sizeof(T) == sizeof(TI), "Index/lane size must match");

HWY_ALIGN T lanes[MaxLanes(d)];
  Store(v, d, lanes);

HWY_ALIGN TI index_lanes[MaxLanes(d)];
  Store(index, di, index_lanes);

HWY_ALIGN TI mask_lanes[MaxLanes(di)];
  Store(BitCast(di, VecFromMask(d, m)), di, mask_lanes);

for (size_t i = 0; i < MaxLanes(d); ++i) {
    if (mask_lanes[i]) base[index_lanes[i]] = lanes[i];
  }
}

template <class D, typename T = TFromD<D>>
HWY_API void ScatterIndexN(VFromD<D> v, D d, T* HWY_RESTRICT base,
                           VFromD<RebindToSigned<D>> index,
                           const size_t max_lanes_to_store) {
  const RebindToSigned<decltype(d)> di;
  using TI = TFromD<decltype(di)>;
  static_assert(sizeof(T) == sizeof(TI), "Index/lane size must match");

for (size_t i = 0; i < MaxLanes(d); ++i) {
    if (i < max_lanes_to_store) base[ExtractLane(index, i)] = ExtractLane(v, i);
  }
}
#else
template <class D, typename T = TFromD<D>>
HWY_API void ScatterIndexN(VFromD<D> v, D d, T* HWY_RESTRICT base,
                           VFromD<RebindToSigned<D>> index,
                           const size_t max_lanes_to_store) {
  MaskedScatterIndex(v, FirstN(d, max_lanes_to_store), d, base, index);
}
#endif  // (defined(HWY_NATIVE_SCATTER) == defined(HWY_TARGET_TOGGLE))

// ------------------------------ Gather

#if (defined(HWY_NATIVE_GATHER) == defined(HWY_TARGET_TOGGLE))
#ifdef HWY_NATIVE_GATHER
#undef HWY_NATIVE_GATHER
#else
#define HWY_NATIVE_GATHER
#endif

template <class D, typename T = TFromD<D>>
HWY_API VFromD<D> GatherOffset(D d, const T* HWY_RESTRICT base,
                               VFromD<RebindToSigned<D>> offset) {
  const RebindToSigned<D> di;
  using TI = TFromD<decltype(di)>;
  static_assert(sizeof(T) == sizeof(TI), "Index/lane size must match");

HWY_ALIGN TI offset_lanes[MaxLanes(d)];
  Store(offset, di, offset_lanes);

HWY_ALIGN T lanes[MaxLanes(d)];
  const uint8_t* base_bytes = reinterpret_cast<const uint8_t*>(base);
  for (size_t i = 0; i < MaxLanes(d); ++i) {
    HWY_DASSERT(offset_lanes[i] >= 0);
    CopyBytes<sizeof(T)>(base_bytes + offset_lanes[i], &lanes[i]);
  }
  return Load(d, lanes);
}

template <class D, typename T = TFromD<D>>
HWY_API VFromD<D> GatherIndex(D d, const T* HWY_RESTRICT base,
                              VFromD<RebindToSigned<D>> index) {
  const RebindToSigned<D> di;
  using TI = TFromD<decltype(di)>;
  static_assert(sizeof(T) == sizeof(TI), "Index/lane size must match");

HWY_ALIGN TI index_lanes[MaxLanes(d)];
  Store(index, di, index_lanes);

HWY_ALIGN T lanes[MaxLanes(d)];
  for (size_t i = 0; i < MaxLanes(d); ++i) {
    HWY_DASSERT(index_lanes[i] >= 0);
    lanes[i] = base[index_lanes[i]];
  }
  return Load(d, lanes);
}

template <class D, typename T = TFromD<D>>
HWY_API VFromD<D> MaskedGatherIndex(MFromD<D> m, D d,
                                    const T* HWY_RESTRICT base,
                                    VFromD<RebindToSigned<D>> index) {
  const RebindToSigned<D> di;
  using TI = TFromD<decltype(di)>;
  static_assert(sizeof(T) == sizeof(TI), "Index/lane size must match");

HWY_ALIGN TI index_lanes[MaxLanes(di)];
  Store(index, di, index_lanes);

HWY_ALIGN TI mask_lanes[MaxLanes(di)];
  Store(BitCast(di, VecFromMask(d, m)), di, mask_lanes);

HWY_ALIGN T lanes[MaxLanes(d)];
  for (size_t i = 0; i < MaxLanes(d); ++i) {
    HWY_DASSERT(index_lanes[i] >= 0);
    lanes[i] = mask_lanes[i] ? base[index_lanes[i]] : T{0};
  }
  return Load(d, lanes);
}

template <class D, typename T = TFromD<D>>
HWY_API VFromD<D> MaskedGatherIndexOr(VFromD<D> no, MFromD<D> m, D d,
                                      const T* HWY_RESTRICT base,
                                      VFromD<RebindToSigned<D>> index) {
  const RebindToSigned<D> di;
  using TI = TFromD<decltype(di)>;
  static_assert(sizeof(T) == sizeof(TI), "Index/lane size must match");

HWY_ALIGN TI index_lanes[MaxLanes(di)];
  Store(index, di, index_lanes);

HWY_ALIGN TI mask_lanes[MaxLanes(di)];
  Store(BitCast(di, VecFromMask(d, m)), di, mask_lanes);

HWY_ALIGN T no_lanes[MaxLanes(d)];
  Store(no, d, no_lanes);

HWY_ALIGN T lanes[MaxLanes(d)];
  for (size_t i = 0; i < MaxLanes(d); ++i) {
    HWY_DASSERT(index_lanes[i] >= 0);
    lanes[i] = mask_lanes[i] ? base[index_lanes[i]] : no_lanes[i];
  }
  return Load(d, lanes);
}

template <class D, typename T = TFromD<D>>
HWY_API VFromD<D> GatherIndexN(D d, const T* HWY_RESTRICT base,
                               VFromD<RebindToSigned<D>> index,
                               const size_t max_lanes_to_load) {
  return GatherIndexNOr(Zero(d), d, base, index, max_lanes_to_load);
}

template <class D, typename T = TFromD<D>>
HWY_API VFromD<D> GatherIndexNOr(VFromD<D> no, D d, const T* HWY_RESTRICT base,
                               VFromD<RebindToSigned<D>> index,
                               const size_t max_lanes_to_load) {
  const RebindToSigned<D> di;
  using TI = TFromD<decltype(di)>;
  static_assert(sizeof(T) == sizeof(TI), "Index/lane size must match");

VFromD<D> v = no;
  for (size_t i = 0; i < MaxLanes(d); ++i) {
    if (i < max_lanes_to_load)
      v = InsertLane(v, i, base[ExtractLane(index, i)]);
  }
  return v;
}
#else
template <class D, typename T = TFromD<D>>
HWY_API VFromD<D> GatherIndexN(D d, const T* HWY_RESTRICT base,
                               VFromD<RebindToSigned<D>> index,
                               const size_t max_lanes_to_load) {
  return MaskedGatherIndex(FirstN(d, max_lanes_to_load), d, base, index);
}
template <class D, typename T = TFromD<D>>
HWY_API VFromD<D> GatherIndexNOr(VFromD<D> no, D d, const T* HWY_RESTRICT base,
                               VFromD<RebindToSigned<D>> index,
                               const size_t max_lanes_to_load) {
  return MaskedGatherIndexOr(no, FirstN(d, max_lanes_to_load), d, base, index);
}
#endif  // (defined(HWY_NATIVE_GATHER) == defined(HWY_TARGET_TOGGLE))

// ------------------------------ Integer AbsDiff and SumsOf8AbsDiff

#if (defined(HWY_NATIVE_INTEGER_ABS_DIFF) == defined(HWY_TARGET_TOGGLE))
#ifdef HWY_NATIVE_INTEGER_ABS_DIFF
#undef HWY_NATIVE_INTEGER_ABS_DIFF
#else
#define HWY_NATIVE_INTEGER_ABS_DIFF
#endif

template <class V, HWY_IF_NOT_FLOAT_NOR_SPECIAL_V(V)>
HWY_API V AbsDiff(V a, V b) {
  return Sub(Max(a, b), Min(a, b));
}

#endif  // HWY_NATIVE_INTEGER_ABS_DIFF

#if (defined(HWY_NATIVE_SUMS_OF_8_ABS_DIFF) == defined(HWY_TARGET_TOGGLE))
#ifdef HWY_NATIVE_SUMS_OF_8_ABS_DIFF
#undef HWY_NATIVE_SUMS_OF_8_ABS_DIFF
#else
#define HWY_NATIVE_SUMS_OF_8_ABS_DIFF
#endif

template <class V, HWY_IF_UI8_D(DFromV<V>),
          HWY_IF_V_SIZE_GT_D(DFromV<V>, (HWY_TARGET == HWY_SCALAR ? 0 : 4))>
HWY_API Vec<RepartitionToWideX3<DFromV<V>>> SumsOf8AbsDiff(V a, V b) {
  const DFromV<decltype(a)> d;
  const RebindToUnsigned<decltype(d)> du;
  const RepartitionToWideX3<decltype(d)> dw;

return BitCast(dw, SumsOf8(BitCast(du, AbsDiff(a, b))));
}

#endif  // HWY_NATIVE_SUMS_OF_8_ABS_DIFF

// ------------------------------ SaturatedAdd/SaturatedSub for UI32/UI64

#if (defined(HWY_NATIVE_I32_SATURATED_ADDSUB) == defined(HWY_TARGET_TOGGLE))
#ifdef HWY_NATIVE_I32_SATURATED_ADDSUB
#undef HWY_NATIVE_I32_SATURATED_ADDSUB
#else
#define HWY_NATIVE_I32_SATURATED_ADDSUB
#endif

template <class V, HWY_IF_I32_D(DFromV<V>)>
HWY_API V SaturatedAdd(V a, V b) {
  const DFromV<decltype(a)> d;
  const auto sum = Add(a, b);
  const auto overflow_mask = AndNot(Xor(a, b), Xor(a, sum));
  const auto overflow_result =
      Xor(BroadcastSignBit(a), Set(d, LimitsMax<int32_t>()));
  return IfNegativeThenElse(overflow_mask, overflow_result, sum);
}

template <class V, HWY_IF_I32_D(DFromV<V>)>
HWY_API V SaturatedSub(V a, V b) {
  const DFromV<decltype(a)> d;
  const auto diff = Sub(a, b);
  const auto overflow_mask = And(Xor(a, b), Xor(a, diff));
  const auto overflow_result =
      Xor(BroadcastSignBit(a), Set(d, LimitsMax<int32_t>()));
  return IfNegativeThenElse(overflow_mask, overflow_result, diff);
}

#endif  // HWY_NATIVE_I32_SATURATED_ADDSUB

#if (defined(HWY_NATIVE_I64_SATURATED_ADDSUB) == defined(HWY_TARGET_TOGGLE))
#ifdef HWY_NATIVE_I64_SATURATED_ADDSUB
#undef HWY_NATIVE_I64_SATURATED_ADDSUB
#else
#define HWY_NATIVE_I64_SATURATED_ADDSUB
#endif

template <class V, HWY_IF_I64_D(DFromV<V>)>
HWY_API V SaturatedAdd(V a, V b) {
  const DFromV<decltype(a)> d;
  const auto sum = Add(a, b);
  const auto overflow_mask = AndNot(Xor(a, b), Xor(a, sum));
  const auto overflow_result =
      Xor(BroadcastSignBit(a), Set(d, LimitsMax<int64_t>()));
  return IfNegativeThenElse(overflow_mask, overflow_result, sum);
}

template <class V, HWY_IF_I64_D(DFromV<V>)>
HWY_API V SaturatedSub(V a, V b) {
  const DFromV<decltype(a)> d;
  const auto diff = Sub(a, b);
  const auto overflow_mask = And(Xor(a, b), Xor(a, diff));
  const auto overflow_result =
      Xor(BroadcastSignBit(a), Set(d, LimitsMax<int64_t>()));
  return IfNegativeThenElse(overflow_mask, overflow_result, diff);
}

#endif  // HWY_NATIVE_I64_SATURATED_ADDSUB

#if (defined(HWY_NATIVE_U32_SATURATED_ADDSUB) == defined(HWY_TARGET_TOGGLE))
#ifdef HWY_NATIVE_U32_SATURATED_ADDSUB
#undef HWY_NATIVE_U32_SATURATED_ADDSUB
#else
#define HWY_NATIVE_U32_SATURATED_ADDSUB
#endif

template <class V, HWY_IF_U32_D(DFromV<V>)>
HWY_API V SaturatedAdd(V a, V b) {
  return Add(a, Min(b, Not(a)));
}

template <class V, HWY_IF_U32_D(DFromV<V>)>
HWY_API V SaturatedSub(V a, V b) {
  return Sub(a, Min(a, b));
}

#endif  // HWY_NATIVE_U32_SATURATED_ADDSUB

#if (defined(HWY_NATIVE_U64_SATURATED_ADDSUB) == defined(HWY_TARGET_TOGGLE))
#ifdef HWY_NATIVE_U64_SATURATED_ADDSUB
#undef HWY_NATIVE_U64_SATURATED_ADDSUB
#else
#define HWY_NATIVE_U64_SATURATED_ADDSUB
#endif

template <class V, HWY_IF_U64_D(DFromV<V>)>
HWY_API V SaturatedAdd(V a, V b) {
  return Add(a, Min(b, Not(a)));
}

template <class V, HWY_IF_U64_D(DFromV<V>)>
HWY_API V SaturatedSub(V a, V b) {
  return Sub(a, Min(a, b));
}

#endif  // HWY_NATIVE_U64_SATURATED_ADDSUB

// ------------------------------ Unsigned to signed demotions

template <class DN, HWY_IF_SIGNED_D(DN), class V, HWY_IF_UNSIGNED_V(V),
          HWY_IF_U2I_DEMOTE_FROM_LANE_SIZE_V(V),
          class V2 = VFromD<Rebind<TFromV<V>, DN>>,
          hwy::EnableIf<(sizeof(TFromD<DN>) < sizeof(TFromV<V>))>* = nullptr,
          HWY_IF_LANES_D(DFromV<V>, HWY_MAX_LANES_D(DFromV<V2>))>
HWY_API VFromD<DN> DemoteTo(DN dn, V v) {
  const DFromV<decltype(v)> d;
  const RebindToSigned<decltype(d)> di;
  const RebindToUnsigned<decltype(dn)> dn_u;

// First, do a signed to signed demotion. This will convert any values
  // that are greater than hwy::HighestValue<MakeSigned<TFromV<V>>>() to a
  // negative value.
  const auto i2i_demote_result = DemoteTo(dn, BitCast(di, v));

// Second, convert any negative values to hwy::HighestValue<TFromD<DN>>()
  // using an unsigned Min operation.
  const auto max_signed_val = Set(dn, hwy::HighestValue<TFromD<DN>>());

return BitCast(
      dn, Min(BitCast(dn_u, i2i_demote_result), BitCast(dn_u, max_signed_val)));
}

#if HWY_TARGET != HWY_SCALAR || HWY_IDE
template <class DN, HWY_IF_SIGNED_D(DN), class V, HWY_IF_UNSIGNED_V(V),
          HWY_IF_U2I_DEMOTE_FROM_LANE_SIZE_V(V),
          class V2 = VFromD<Repartition<TFromV<V>, DN>>,
          HWY_IF_T_SIZE_V(V, sizeof(TFromD<DN>) * 2),
          HWY_IF_LANES_D(DFromV<V>, HWY_MAX_LANES_D(DFromV<V2>))>
HWY_API VFromD<DN> ReorderDemote2To(DN dn, V a, V b) {
  const DFromV<decltype(a)> d;
  const RebindToSigned<decltype(d)> di;
  const RebindToUnsigned<decltype(dn)> dn_u;

// Second, convert any negative values to hwy::HighestValue<TFromD<DN>>()
  // using an unsigned Min operation.
  const auto max_signed_val = Set(dn, hwy::HighestValue<TFromD<DN>>());

return BitCast(
      dn, Min(BitCast(dn_u, i2i_demote_result), BitCast(dn_u, max_signed_val)));
}
#endif

// ------------------------------ PromoteLowerTo

// There is no codegen advantage for a native version of this. It is provided
// only for convenience.
template <class D, class V>
HWY_API VFromD<D> PromoteLowerTo(D d, V v) {
  // Lanes(d) may differ from Lanes(DFromV<V>()). Use the lane type from V
  // because it cannot be deduced from D (could be either bf16 or f16).
  const Rebind<TFromV<V>, decltype(d)> dh;
  return PromoteTo(d, LowerHalf(dh, v));
}

// ------------------------------ PromoteUpperTo

#if (defined(HWY_NATIVE_PROMOTE_UPPER_TO) == defined(HWY_TARGET_TOGGLE))
#ifdef HWY_NATIVE_PROMOTE_UPPER_TO
#undef HWY_NATIVE_PROMOTE_UPPER_TO
#else
#define HWY_NATIVE_PROMOTE_UPPER_TO
#endif

// This requires UpperHalf.
#if HWY_TARGET != HWY_SCALAR || HWY_IDE

template <class D, class V>
HWY_API VFromD<D> PromoteUpperTo(D d, V v) {
  // Lanes(d) may differ from Lanes(DFromV<V>()). Use the lane type from V
  // because it cannot be deduced from D (could be either bf16 or f16).
  const Rebind<TFromV<V>, decltype(d)> dh;
  return PromoteTo(d, UpperHalf(dh, v));
}

#endif  // HWY_TARGET != HWY_SCALAR
#endif  // HWY_NATIVE_PROMOTE_UPPER_TO

// ------------------------------ float16_t <-> float

#if (defined(HWY_NATIVE_F16C) == defined(HWY_TARGET_TOGGLE))
#ifdef HWY_NATIVE_F16C
#undef HWY_NATIVE_F16C
#else
#define HWY_NATIVE_F16C
#endif

template <class D, HWY_IF_F32_D(D)>
HWY_API VFromD<D> PromoteTo(D df32, VFromD<Rebind<float16_t, D>> v) {
  const RebindToSigned<decltype(df32)> di32;
  const RebindToUnsigned<decltype(df32)> du32;
  const Rebind<uint16_t, decltype(df32)> du16;
  using VU32 = VFromD<decltype(du32)>;

const VU32 bits16 = PromoteTo(du32, BitCast(du16, v));
  const VU32 sign = ShiftRight<15>(bits16);
  const VU32 biased_exp = And(ShiftRight<10>(bits16), Set(du32, 0x1F));
  const VU32 mantissa = And(bits16, Set(du32, 0x3FF));
  const VU32 subnormal =
      BitCast(du32, Mul(ConvertTo(df32, BitCast(di32, mantissa)),
                        Set(df32, 1.0f / 16384 / 1024)));

const VU32 biased_exp32 = Add(biased_exp, Set(du32, 127 - 15));
  const VU32 mantissa32 = ShiftLeft<23 - 10>(mantissa);
  const VU32 normal = Or(ShiftLeft<23>(biased_exp32), mantissa32);
  const VU32 bits32 = IfThenElse(Eq(biased_exp, Zero(du32)), subnormal, normal);
  return BitCast(df32, Or(ShiftLeft<31>(sign), bits32));
}

template <class D, HWY_IF_F16_D(D)>
HWY_API VFromD<D> DemoteTo(D df16, VFromD<Rebind<float, D>> v) {
  const RebindToSigned<decltype(df16)> di16;
  const Rebind<int32_t, decltype(df16)> di32;
  const RebindToFloat<decltype(di32)> df32;
  const RebindToUnsigned<decltype(df32)> du32;

// There are 23 fractional bits (plus the implied 1 bit) in the mantissa of
  // a F32, and there are 10 fractional bits (plus the implied 1 bit) in the
  // mantissa of a F16

// We want the unbiased exponent of round_incr[i] to be at least (-14) + 13 as
  // 2^(-14) is the smallest positive normal F16 value and as we want 13
  // mantissa bits (including the implicit 1 bit) to the left of the
  // F32 mantissa bits in rounded_val[i] since 23 - 10 is equal to 13

// The biased exponent of round_incr[i] needs to be at least 126 as
  // (-14) + 13 + 127 is equal to 126

// We also want to biased exponent of round_incr[i] to be less than or equal
  // to 255 (which is equal to MaxExponentField<float>())

// The biased F32 exponent of round_incr is equal to
  // HWY_MAX(HWY_MIN(((exp_bits[i] >> 23) & 255) + 13, 255), 126)

// hi9_bits[i] is equal to the upper 9 bits of v[i]
  const auto hi9_bits = ShiftRight<23>(BitCast(du32, v));

const auto k13 = Set(du32, uint32_t{13u});

// Minimum biased F32 exponent of round_incr
  const auto k126 = Set(du32, uint32_t{126u});

// round_incr_hi9_bits[i] is equivalent to
  // (hi9_bits[i] & 0x100) |
  // HWY_MAX(HWY_MIN((hi9_bits[i] & 0xFF) + 13, 255), 126)

#if HWY_TARGET == HWY_SCALAR || HWY_TARGET == HWY_EMU128
  const auto k255 = Set(du32, uint32_t{255u});
  const auto round_incr_hi9_bits = BitwiseIfThenElse(
      k255, Max(Min(Add(And(hi9_bits, k255), k13), k255), k126), hi9_bits);
#else
  // On targets other than SCALAR and EMU128, the exponent bits of hi9_bits can
  // be incremented by 13 and clamped to the [13, 255] range without overflowing
  // into the sign bit of hi9_bits by using U8 SaturatedAdd as there are 8
  // exponent bits in an F32

// U8 Max can be used on targets other than SCALAR and EMU128 to clamp
  // ((hi9_bits & 0xFF) + 13) to the [126, 255] range without affecting the sign
  // bit

const Repartition<uint8_t, decltype(du32)> du32_as_u8;
  const auto round_incr_hi9_bits = BitCast(
      du32,
      Max(SaturatedAdd(BitCast(du32_as_u8, hi9_bits), BitCast(du32_as_u8, k13)),
          BitCast(du32_as_u8, k126)));
#endif

// (round_incr_hi9_bits >> 8) is equal to (hi9_bits >> 8), and
  // (round_incr_hi9_bits & 0xFF) is equal to
  // HWY_MAX(HWY_MIN((round_incr_hi9_bits & 0xFF) + 13, 255), 126)

const auto round_incr = BitCast(df32, ShiftLeft<23>(round_incr_hi9_bits));

// Add round_incr[i] to v[i] to round the mantissa to the nearest F16 mantissa
  // and to move the fractional bits of the resulting non-NaN mantissa down to
  // the lower 10 bits of rounded_val if (v[i] + round_incr[i]) is a non-NaN
  // value
  const auto rounded_val = Add(v, round_incr);

// rounded_val_bits is the bits of rounded_val as a U32
  const auto rounded_val_bits = BitCast(du32, rounded_val);

// rounded_val[i] is known to have the same biased exponent as round_incr[i]
  // as |round_incr[i]| > 2^12*|v[i]| is true if round_incr[i] is a finite
  // value, round_incr[i] and v[i] both have the same sign, and |round_incr[i]|
  // is either a power of 2 that is greater than or equal to 2^-1 or infinity.

// If rounded_val[i] is a finite F32 value, then
  // (rounded_val_bits[i] & 0x00000FFF) is the bit representation of the
  // rounded mantissa of rounded_val[i] as a UQ2.10 fixed point number that is
  // in the range [0, 2].

// In other words, (rounded_val_bits[i] & 0x00000FFF) is between 0 and 0x0800,
  // with (rounded_val_bits[i] & 0x000003FF) being the fractional bits of the
  // resulting F16 mantissa, if rounded_v[i] is a finite F32 value.

// (rounded_val_bits[i] & 0x007FF000) == 0 is guaranteed to be true if
  // rounded_val[i] is a non-NaN value

// The biased exponent of rounded_val[i] is guaranteed to be at least 126 as
  // the biased exponent of round_incr[i] is at least 126 and as both v[i] and
  // round_incr[i] have the same sign bit

// The ULP of a F32 value with a biased exponent of 126 is equal to
  // 2^(126 - 127 - 23), which is equal to 2^(-24) (which is also the ULP of a
  // F16 value with a biased exponent of 0 or 1 as (1 - 15 - 10) is equal to
  // -24)

// The biased exponent (before subtracting by 126) needs to be clamped to the
  // [126, 157] range as 126 + 31 is equal to 157 and as 31 is the largest
  // biased exponent of a F16.

// The biased exponent of the resulting F16 value is equal to
  // HWY_MIN((round_incr_hi9_bits[i] & 0xFF) +
  //         ((rounded_val_bits[i] >> 10) & 0xFF), 157) - 126

#if HWY_TARGET == HWY_SCALAR || HWY_TARGET == HWY_EMU128
  const auto k157Shl10 = Set(du32, static_cast<uint32_t>(uint32_t{157u} << 10));
  auto f16_exp_bits =
      Min(Add(ShiftLeft<10>(And(round_incr_hi9_bits, k255)),
              And(rounded_val_bits,
                  Set(du32, static_cast<uint32_t>(uint32_t{0xFFu} << 10)))),
          k157Shl10);
  const auto f16_result_is_inf_mask =
      RebindMask(df32, Eq(f16_exp_bits, k157Shl10));
#else
  const auto k157 = Set(du32, uint32_t{157});
  auto f16_exp_bits = BitCast(
      du32,
      Min(SaturatedAdd(BitCast(du32_as_u8, round_incr_hi9_bits),
                       BitCast(du32_as_u8, ShiftRight<10>(rounded_val_bits))),
          BitCast(du32_as_u8, k157)));
  const auto f16_result_is_inf_mask = RebindMask(df32, Eq(f16_exp_bits, k157));
  f16_exp_bits = ShiftLeft<10>(f16_exp_bits);
#endif

f16_exp_bits =
      Sub(f16_exp_bits, Set(du32, static_cast<uint32_t>(uint32_t{126u} << 10)));

const auto f16_unmasked_mant_bits =
      BitCast(di32, Or(IfThenZeroElse(f16_result_is_inf_mask, rounded_val),
                       VecFromMask(df32, IsNaN(rounded_val))));

const auto f16_exp_mant_bits =
      OrAnd(BitCast(di32, f16_exp_bits), f16_unmasked_mant_bits,
            Set(di32, int32_t{0x03FF}));

// f16_bits_as_i32 is the F16 bits sign-extended to an I32 (with the upper 17
  // bits of f16_bits_as_i32[i] set to the sign bit of rounded_val[i]) to allow
  // efficient truncation of the F16 bits to an I16 using an I32->I16 DemoteTo
  // operation
  const auto f16_bits_as_i32 =
      OrAnd(f16_exp_mant_bits, ShiftRight<16>(BitCast(di32, rounded_val_bits)),
            Set(di32, static_cast<int32_t>(0xFFFF8000u)));
  return BitCast(df16, DemoteTo(di16, f16_bits_as_i32));
}

#endif  // HWY_NATIVE_F16C

// ------------------------------ F64->F16 DemoteTo
#if (defined(HWY_NATIVE_DEMOTE_F64_TO_F16) == defined(HWY_TARGET_TOGGLE))
#ifdef HWY_NATIVE_DEMOTE_F64_TO_F16
#undef HWY_NATIVE_DEMOTE_F64_TO_F16
#else
#define HWY_NATIVE_DEMOTE_F64_TO_F16
#endif

#if HWY_HAVE_FLOAT64
template <class D, HWY_IF_F16_D(D)>
HWY_API VFromD<D> DemoteTo(D df16, VFromD<Rebind<double, D>> v) {
  const Rebind<double, D> df64;
  const Rebind<uint64_t, D> du64;
  const Rebind<float, D> df32;

// The mantissa bits of v[i] are first rounded using round-to-odd rounding to
  // the nearest F64 value that has the lower 29 bits zeroed out to ensure that
  // the result is correctly rounded to a F16.

const auto vf64_rounded = OrAnd(
      And(v,
          BitCast(df64, Set(du64, static_cast<uint64_t>(0xFFFFFFFFE0000000u)))),
      BitCast(df64, Add(BitCast(du64, v),
                        Set(du64, static_cast<uint64_t>(0x000000001FFFFFFFu)))),
      BitCast(df64, Set(du64, static_cast<uint64_t>(0x0000000020000000ULL))));

return DemoteTo(df16, DemoteTo(df32, vf64_rounded));
}
#endif  // HWY_HAVE_FLOAT64

#endif  // HWY_NATIVE_DEMOTE_F64_TO_F16

// ------------------------------ F16->F64 PromoteTo
#if (defined(HWY_NATIVE_PROMOTE_F16_TO_F64) == defined(HWY_TARGET_TOGGLE))
#ifdef HWY_NATIVE_PROMOTE_F16_TO_F64
#undef HWY_NATIVE_PROMOTE_F16_TO_F64
#else
#define HWY_NATIVE_PROMOTE_F16_TO_F64
#endif

#if HWY_HAVE_FLOAT64
template <class D, HWY_IF_F64_D(D)>
HWY_API VFromD<D> PromoteTo(D df64, VFromD<Rebind<float16_t, D>> v) {
  return PromoteTo(df64, PromoteTo(Rebind<float, D>(), v));
}
#endif  // HWY_HAVE_FLOAT64

#endif  // HWY_NATIVE_PROMOTE_F16_TO_F64

// ------------------------------ F32 to BF16 DemoteTo
#if (defined(HWY_NATIVE_DEMOTE_F32_TO_BF16) == defined(HWY_TARGET_TOGGLE))
#ifdef HWY_NATIVE_DEMOTE_F32_TO_BF16
#undef HWY_NATIVE_DEMOTE_F32_TO_BF16
#else
#define HWY_NATIVE_DEMOTE_F32_TO_BF16
#endif

namespace detail {

// Round a F32 value to the nearest BF16 value, with the result returned as the
// rounded F32 value bitcasted to an U32

// RoundF32ForDemoteToBF16 also converts NaN values to QNaN values to prevent
// NaN F32 values from being converted to an infinity
template <class V, HWY_IF_F32(TFromV<V>)>
HWY_INLINE VFromD<RebindToUnsigned<DFromV<V>>> RoundF32ForDemoteToBF16(V v) {
  const DFromV<decltype(v)> d;
  const RebindToUnsigned<decltype(d)> du32;

const auto is_non_nan = Not(IsNaN(v));
  const auto bits32 = BitCast(du32, v);

const auto round_incr =
      Add(And(ShiftRight<16>(bits32), Set(du32, uint32_t{1})),
          Set(du32, uint32_t{0x7FFFu}));
  return MaskedAddOr(Or(bits32, Set(du32, uint32_t{0x00400000u})),
                     RebindMask(du32, is_non_nan), bits32, round_incr);
}

}  // namespace detail

template <class D, HWY_IF_BF16_D(D)>
HWY_API VFromD<D> DemoteTo(D dbf16, VFromD<Rebind<float, D>> v) {
  const RebindToUnsigned<decltype(dbf16)> du16;
  const Twice<decltype(du16)> dt_u16;

const auto rounded_bits = BitCast(dt_u16, detail::RoundF32ForDemoteToBF16(v));
#if HWY_IS_LITTLE_ENDIAN
  return BitCast(
      dbf16, LowerHalf(du16, ConcatOdd(dt_u16, rounded_bits, rounded_bits)));
#else
  return BitCast(
      dbf16, LowerHalf(du16, ConcatEven(dt_u16, rounded_bits, rounded_bits)));
#endif
}

template <class D, HWY_IF_BF16_D(D)>
HWY_API VFromD<D> OrderedDemote2To(D dbf16, VFromD<Repartition<float, D>> a,
                                   VFromD<Repartition<float, D>> b) {
  const RebindToUnsigned<decltype(dbf16)> du16;

const auto rounded_a_bits32 =
      BitCast(du16, detail::RoundF32ForDemoteToBF16(a));
  const auto rounded_b_bits32 =
      BitCast(du16, detail::RoundF32ForDemoteToBF16(b));
#if HWY_IS_LITTLE_ENDIAN
  return BitCast(dbf16, ConcatOdd(du16, BitCast(du16, rounded_b_bits32),
                                  BitCast(du16, rounded_a_bits32)));
#else
  return BitCast(dbf16, ConcatEven(du16, BitCast(du16, rounded_b_bits32),
                                   BitCast(du16, rounded_a_bits32)));
#endif
}

template <class D, HWY_IF_BF16_D(D)>
HWY_API VFromD<D> ReorderDemote2To(D dbf16, VFromD<Repartition<float, D>> a,
                                   VFromD<Repartition<float, D>> b) {
  const RebindToUnsigned<decltype(dbf16)> du16;

#if HWY_IS_LITTLE_ENDIAN
  const auto a_in_odd = detail::RoundF32ForDemoteToBF16(a);
  const auto b_in_even = ShiftRight<16>(detail::RoundF32ForDemoteToBF16(b));
#else
  const auto a_in_odd = ShiftRight<16>(detail::RoundF32ForDemoteToBF16(a));
  const auto b_in_even = detail::RoundF32ForDemoteToBF16(b);
#endif

return BitCast(dbf16,
                 OddEven(BitCast(du16, a_in_odd), BitCast(du16, b_in_even)));
}

#endif  // HWY_NATIVE_DEMOTE_F32_TO_BF16

// ------------------------------ PromoteInRangeTo
#if (defined(HWY_NATIVE_F32_TO_UI64_PROMOTE_IN_RANGE_TO) == \
     defined(HWY_TARGET_TOGGLE))
#ifdef HWY_NATIVE_F32_TO_UI64_PROMOTE_IN_RANGE_TO
#undef HWY_NATIVE_F32_TO_UI64_PROMOTE_IN_RANGE_TO
#else
#define HWY_NATIVE_F32_TO_UI64_PROMOTE_IN_RANGE_TO
#endif

#if HWY_HAVE_INTEGER64
template <class D64, HWY_IF_UI64_D(D64)>
HWY_API VFromD<D64> PromoteInRangeTo(D64 d64, VFromD<Rebind<float, D64>> v) {
  return PromoteTo(d64, v);
}
#endif

#endif  // HWY_NATIVE_F32_TO_UI64_PROMOTE_IN_RANGE_TO

// ------------------------------ ConvertInRangeTo
#if (defined(HWY_NATIVE_F2I_CONVERT_IN_RANGE_TO) == defined(HWY_TARGET_TOGGLE))
#ifdef HWY_NATIVE_F2I_CONVERT_IN_RANGE_TO
#undef HWY_NATIVE_F2I_CONVERT_IN_RANGE_TO
#else
#define HWY_NATIVE_F2I_CONVERT_IN_RANGE_TO
#endif

template <class DI, HWY_IF_NOT_FLOAT_NOR_SPECIAL_D(DI),
          HWY_IF_T_SIZE_ONE_OF_D(DI, (HWY_HAVE_FLOAT16 ? (1 << 2) : 0) |
                                         (1 << 4) |
                                         (HWY_HAVE_FLOAT64 ? (1 << 8) : 0))>
HWY_API VFromD<DI> ConvertInRangeTo(DI di, VFromD<RebindToFloat<DI>> v) {
  return ConvertTo(di, v);
}

#endif  // HWY_NATIVE_F2I_CONVERT_IN_RANGE_TO

// ------------------------------ DemoteInRangeTo
#if (defined(HWY_NATIVE_F64_TO_UI32_DEMOTE_IN_RANGE_TO) == \
     defined(HWY_TARGET_TOGGLE))
#ifdef HWY_NATIVE_F64_TO_UI32_DEMOTE_IN_RANGE_TO
#undef HWY_NATIVE_F64_TO_UI32_DEMOTE_IN_RANGE_TO
#else
#define HWY_NATIVE_F64_TO_UI32_DEMOTE_IN_RANGE_TO
#endif

#if HWY_HAVE_FLOAT64
template <class D32, HWY_IF_UI32_D(D32)>
HWY_API VFromD<D32> DemoteInRangeTo(D32 d32, VFromD<Rebind<double, D32>> v) {
  return DemoteTo(d32, v);
}
#endif

#endif  // HWY_NATIVE_F64_TO_UI32_DEMOTE_IN_RANGE_TO

// ------------------------------ PromoteInRangeLowerTo/PromoteInRangeUpperTo

template <class D, HWY_IF_UI64_D(D), class V, HWY_IF_F32(TFromV<V>)>
HWY_API VFromD<D> PromoteInRangeLowerTo(D d, V v) {
  // Lanes(d) may differ from Lanes(DFromV<V>()). Use the lane type from V
  // because it cannot be deduced from D (could be either bf16 or f16).
  const Rebind<TFromV<V>, decltype(d)> dh;
  return PromoteInRangeTo(d, LowerHalf(dh, v));
}

#if HWY_TARGET != HWY_SCALAR || HWY_IDE
template <class D, HWY_IF_UI64_D(D), class V, HWY_IF_F32(TFromV<V>)>
HWY_API VFromD<D> PromoteInRangeUpperTo(D d, V v) {
#if (HWY_TARGET <= HWY_SSE2 || HWY_TARGET == HWY_EMU128 || \
     (HWY_TARGET_IS_NEON && !HWY_HAVE_FLOAT64))
  // On targets that provide target-specific implementations of F32->UI64
  // PromoteInRangeTo, promote the upper half of v using PromoteInRangeTo

// Lanes(d) may differ from Lanes(DFromV<V>()). Use the lane type from V
  // because it cannot be deduced from D (could be either bf16 or f16).
  const Rebind<TFromV<V>, decltype(d)> dh;
  return PromoteInRangeTo(d, UpperHalf(dh, v));
#else
  // Otherwise, on targets where F32->UI64 PromoteInRangeTo is simply a wrapper
  // around F32->UI64 PromoteTo, promote the upper half of v to TFromD<D> using
  // PromoteUpperTo
  return PromoteUpperTo(d, v);
#endif
}
#endif  // HWY_TARGET != HWY_SCALAR

// ------------------------------ PromoteInRangeEvenTo/PromoteInRangeOddTo

template <class D, HWY_IF_UI64_D(D), class V, HWY_IF_F32(TFromV<V>)>
HWY_API VFromD<D> PromoteInRangeEvenTo(D d, V v) {
#if HWY_TARGET == HWY_SCALAR
  return PromoteInRangeTo(d, v);
#elif (HWY_TARGET <= HWY_SSE2 || HWY_TARGET == HWY_EMU128 || \
       (HWY_TARGET_IS_NEON && !HWY_HAVE_FLOAT64))
  // On targets that provide target-specific implementations of F32->UI64
  // PromoteInRangeTo, promote the even lanes of v using PromoteInRangeTo

// Lanes(d) may differ from Lanes(DFromV<V>()). Use the lane type from V
  // because it cannot be deduced from D (could be either bf16 or f16).
  const DFromV<decltype(v)> d_from;
  const Rebind<TFromV<V>, decltype(d)> dh;
  return PromoteInRangeTo(d, LowerHalf(dh, ConcatEven(d_from, v, v)));
#else
  // Otherwise, on targets where F32->UI64 PromoteInRangeTo is simply a wrapper
  // around F32->UI64 PromoteTo, promote the even lanes of v to TFromD<D> using
  // PromoteEvenTo
  return PromoteEvenTo(d, v);
#endif  // HWY_TARGET == HWY_SCALAR
}

#if HWY_TARGET != HWY_SCALAR || HWY_IDE
template <class D, HWY_IF_UI64_D(D), class V, HWY_IF_F32(TFromV<V>)>
HWY_API VFromD<D> PromoteInRangeOddTo(D d, V v) {
#if (HWY_TARGET <= HWY_SSE2 || HWY_TARGET == HWY_EMU128 || \
     (HWY_TARGET_IS_NEON && !HWY_HAVE_FLOAT64))
  // On targets that provide target-specific implementations of F32->UI64
  // PromoteInRangeTo, promote the odd lanes of v using PromoteInRangeTo

// Lanes(d) may differ from Lanes(DFromV<V>()). Use the lane type from V
  // because it cannot be deduced from D (could be either bf16 or f16).
  const DFromV<decltype(v)> d_from;
  const Rebind<TFromV<V>, decltype(d)> dh;
  return PromoteInRangeTo(d, LowerHalf(dh, ConcatOdd(d_from, v, v)));
#else
  // Otherwise, on targets where F32->UI64 PromoteInRangeTo is simply a wrapper
  // around F32->UI64 PromoteTo, promote the odd lanes of v to TFromD<D> using
  // PromoteOddTo
  return PromoteOddTo(d, v);
#endif
}
#endif  // HWY_TARGET != HWY_SCALAR

// ------------------------------ SumsOf2

#if HWY_TARGET != HWY_SCALAR || HWY_IDE
namespace detail {

template <class TypeTag, size_t kLaneSize, class V>
HWY_INLINE VFromD<RepartitionToWide<DFromV<V>>> SumsOf2(
    TypeTag /*type_tag*/, hwy::SizeTag<kLaneSize> /*lane_size_tag*/, V v) {
  const DFromV<decltype(v)> d;
  const RepartitionToWide<decltype(d)> dw;
  return Add(PromoteEvenTo(dw, v), PromoteOddTo(dw, v));
}

}  // namespace detail

template <class V>
HWY_API VFromD<RepartitionToWide<DFromV<V>>> SumsOf2(V v) {
  return detail::SumsOf2(hwy::TypeTag<TFromV<V>>(),
                         hwy::SizeTag<sizeof(TFromV<V>)>(), v);
}
#endif  // HWY_TARGET != HWY_SCALAR

// ------------------------------ SumsOf4

namespace detail {

template <class TypeTag, size_t kLaneSize, class V>
HWY_INLINE VFromD<RepartitionToWideX2<DFromV<V>>> SumsOf4(
    TypeTag /*type_tag*/, hwy::SizeTag<kLaneSize> /*lane_size_tag*/, V v) {
  using hwy::HWY_NAMESPACE::SumsOf2;
  return SumsOf2(SumsOf2(v));
}

}  // namespace detail

template <class V>
HWY_API VFromD<RepartitionToWideX2<DFromV<V>>> SumsOf4(V v) {
  return detail::SumsOf4(hwy::TypeTag<TFromV<V>>(),
                         hwy::SizeTag<sizeof(TFromV<V>)>(), v);
}

// ------------------------------ OrderedTruncate2To

#if HWY_IDE || \
    (defined(HWY_NATIVE_ORDERED_TRUNCATE_2_TO) == defined(HWY_TARGET_TOGGLE))

#ifdef HWY_NATIVE_ORDERED_TRUNCATE_2_TO
#undef HWY_NATIVE_ORDERED_TRUNCATE_2_TO
#else
#define HWY_NATIVE_ORDERED_TRUNCATE_2_TO
#endif

// (Must come after HWY_TARGET_TOGGLE, else we don't reset it for scalar)
#if HWY_TARGET != HWY_SCALAR || HWY_IDE
template <class DN, HWY_IF_UNSIGNED_D(DN), class V, HWY_IF_UNSIGNED_V(V),
          HWY_IF_T_SIZE_V(V, sizeof(TFromD<DN>) * 2),
          HWY_IF_LANES_D(DFromV<VFromD<DN>>, HWY_MAX_LANES_D(DFromV<V>) * 2)>
HWY_API VFromD<DN> OrderedTruncate2To(DN dn, V a, V b) {
  return ConcatEven(dn, BitCast(dn, b), BitCast(dn, a));
}
#endif  // HWY_TARGET != HWY_SCALAR
#endif  // HWY_NATIVE_ORDERED_TRUNCATE_2_TO

// -------------------- LeadingZeroCount, TrailingZeroCount, HighestSetBitIndex

#if (defined(HWY_NATIVE_LEADING_ZERO_COUNT) == defined(HWY_TARGET_TOGGLE))
#ifdef HWY_NATIVE_LEADING_ZERO_COUNT
#undef HWY_NATIVE_LEADING_ZERO_COUNT
#else
#define HWY_NATIVE_LEADING_ZERO_COUNT
#endif

namespace detail {

template <class D, HWY_IF_U32_D(D)>
HWY_INLINE VFromD<D> UIntToF32BiasedExp(D d, VFromD<D> v) {
  const RebindToFloat<decltype(d)> df;
#if HWY_TARGET > HWY_AVX3 && HWY_TARGET <= HWY_SSE2
  const RebindToSigned<decltype(d)> di;
  const Repartition<int16_t, decltype(d)> di16;

// On SSE2/SSSE3/SSE4/AVX2, do an int32_t to float conversion, followed
  // by a unsigned right shift of the uint32_t bit representation of the
  // floating point values by 23, followed by an int16_t Min
  // operation as we are only interested in the biased exponent that would
  // result from a uint32_t to float conversion.

// An int32_t to float vector conversion is also much more efficient on
  // SSE2/SSSE3/SSE4/AVX2 than an uint32_t vector to float vector conversion
  // as an uint32_t vector to float vector conversion on SSE2/SSSE3/SSE4/AVX2
  // requires multiple instructions whereas an int32_t to float vector
  // conversion can be carried out using a single instruction on
  // SSE2/SSSE3/SSE4/AVX2.

const auto f32_bits = BitCast(d, ConvertTo(df, BitCast(di, v)));
  return BitCast(d, Min(BitCast(di16, ShiftRight<23>(f32_bits)),
                        BitCast(di16, Set(d, 158))));
#else
  const auto f32_bits = BitCast(d, ConvertTo(df, v));
  return BitCast(d, ShiftRight<23>(f32_bits));
#endif
}

template <class V, HWY_IF_U32_D(DFromV<V>)>
HWY_INLINE V I32RangeU32ToF32BiasedExp(V v) {
  // I32RangeU32ToF32BiasedExp is similar to UIntToF32BiasedExp, but
  // I32RangeU32ToF32BiasedExp assumes that v[i] is between 0 and 2147483647.
  const DFromV<decltype(v)> d;
  const RebindToFloat<decltype(d)> df;
#if HWY_TARGET > HWY_AVX3 && HWY_TARGET <= HWY_SSE2
  const RebindToSigned<decltype(d)> d_src;
#else
  const RebindToUnsigned<decltype(d)> d_src;
#endif
  const auto f32_bits = BitCast(d, ConvertTo(df, BitCast(d_src, v)));
  return ShiftRight<23>(f32_bits);
}

template <class D, HWY_IF_U16_D(D), HWY_IF_LANES_LE_D(D, HWY_MAX_BYTES / 4)>
HWY_INLINE VFromD<D> UIntToF32BiasedExp(D d, VFromD<D> v) {
  const Rebind<uint32_t, decltype(d)> du32;
  const auto f32_biased_exp_as_u32 =
      I32RangeU32ToF32BiasedExp(PromoteTo(du32, v));
  return TruncateTo(d, f32_biased_exp_as_u32);
}

#if HWY_TARGET != HWY_SCALAR || HWY_IDE
template <class D, HWY_IF_U16_D(D), HWY_IF_LANES_GT_D(D, HWY_MAX_BYTES / 4)>
HWY_INLINE VFromD<D> UIntToF32BiasedExp(D d, VFromD<D> v) {
  const Half<decltype(d)> dh;
  const Rebind<uint32_t, decltype(dh)> du32;

const auto lo_u32 = PromoteTo(du32, LowerHalf(dh, v));
  const auto hi_u32 = PromoteTo(du32, UpperHalf(dh, v));

const auto lo_f32_biased_exp_as_u32 = I32RangeU32ToF32BiasedExp(lo_u32);
  const auto hi_f32_biased_exp_as_u32 = I32RangeU32ToF32BiasedExp(hi_u32);
#if HWY_TARGET <= HWY_SSE2
  const RebindToSigned<decltype(du32)> di32;
  const RebindToSigned<decltype(d)> di;
  return BitCast(d,
                 OrderedDemote2To(di, BitCast(di32, lo_f32_biased_exp_as_u32),
                                  BitCast(di32, hi_f32_biased_exp_as_u32)));
#else
  return OrderedTruncate2To(d, lo_f32_biased_exp_as_u32,
                            hi_f32_biased_exp_as_u32);
#endif
}
#endif  // HWY_TARGET != HWY_SCALAR

template <class D, HWY_IF_U8_D(D), HWY_IF_LANES_LE_D(D, HWY_MAX_BYTES / 4)>
HWY_INLINE VFromD<D> UIntToF32BiasedExp(D d, VFromD<D> v) {
  const Rebind<uint32_t, decltype(d)> du32;
  const auto f32_biased_exp_as_u32 =
      I32RangeU32ToF32BiasedExp(PromoteTo(du32, v));
  return U8FromU32(f32_biased_exp_as_u32);
}

#if HWY_TARGET != HWY_SCALAR || HWY_IDE
template <class D, HWY_IF_U8_D(D), HWY_IF_LANES_GT_D(D, HWY_MAX_BYTES / 4),
          HWY_IF_LANES_LE_D(D, HWY_MAX_BYTES / 2)>
HWY_INLINE VFromD<D> UIntToF32BiasedExp(D d, VFromD<D> v) {
  const Half<decltype(d)> dh;
  const Rebind<uint32_t, decltype(dh)> du32;
  const Repartition<uint16_t, decltype(du32)> du16;

const auto lo_u32 = PromoteTo(du32, LowerHalf(dh, v));
  const auto hi_u32 = PromoteTo(du32, UpperHalf(dh, v));

const auto lo_f32_biased_exp_as_u32 = I32RangeU32ToF32BiasedExp(lo_u32);
  const auto hi_f32_biased_exp_as_u32 = I32RangeU32ToF32BiasedExp(hi_u32);

#if HWY_TARGET <= HWY_SSE2
  const RebindToSigned<decltype(du32)> di32;
  const RebindToSigned<decltype(du16)> di16;
  const auto f32_biased_exp_as_i16 =
      OrderedDemote2To(di16, BitCast(di32, lo_f32_biased_exp_as_u32),
                       BitCast(di32, hi_f32_biased_exp_as_u32));
  return DemoteTo(d, f32_biased_exp_as_i16);
#else
  const auto f32_biased_exp_as_u16 = OrderedTruncate2To(
      du16, lo_f32_biased_exp_as_u32, hi_f32_biased_exp_as_u32);
  return TruncateTo(d, f32_biased_exp_as_u16);
#endif
}

template <class D, HWY_IF_U8_D(D), HWY_IF_LANES_GT_D(D, HWY_MAX_BYTES / 2)>
HWY_INLINE VFromD<D> UIntToF32BiasedExp(D d, VFromD<D> v) {
  const Half<decltype(d)> dh;
  const Half<decltype(dh)> dq;
  const Rebind<uint32_t, decltype(dq)> du32;
  const Repartition<uint16_t, decltype(du32)> du16;

const auto lo_half = LowerHalf(dh, v);
  const auto hi_half = UpperHalf(dh, v);

const auto u32_q0 = PromoteTo(du32, LowerHalf(dq, lo_half));
  const auto u32_q1 = PromoteTo(du32, UpperHalf(dq, lo_half));
  const auto u32_q2 = PromoteTo(du32, LowerHalf(dq, hi_half));
  const auto u32_q3 = PromoteTo(du32, UpperHalf(dq, hi_half));

const auto f32_biased_exp_as_u32_q0 = I32RangeU32ToF32BiasedExp(u32_q0);
  const auto f32_biased_exp_as_u32_q1 = I32RangeU32ToF32BiasedExp(u32_q1);
  const auto f32_biased_exp_as_u32_q2 = I32RangeU32ToF32BiasedExp(u32_q2);
  const auto f32_biased_exp_as_u32_q3 = I32RangeU32ToF32BiasedExp(u32_q3);

#if HWY_TARGET <= HWY_SSE2
  const RebindToSigned<decltype(du32)> di32;
  const RebindToSigned<decltype(du16)> di16;

const auto lo_f32_biased_exp_as_i16 =
      OrderedDemote2To(di16, BitCast(di32, f32_biased_exp_as_u32_q0),
                       BitCast(di32, f32_biased_exp_as_u32_q1));
  const auto hi_f32_biased_exp_as_i16 =
      OrderedDemote2To(di16, BitCast(di32, f32_biased_exp_as_u32_q2),
                       BitCast(di32, f32_biased_exp_as_u32_q3));
  return OrderedDemote2To(d, lo_f32_biased_exp_as_i16,
                          hi_f32_biased_exp_as_i16);
#else
  const auto lo_f32_biased_exp_as_u16 = OrderedTruncate2To(
      du16, f32_biased_exp_as_u32_q0, f32_biased_exp_as_u32_q1);
  const auto hi_f32_biased_exp_as_u16 = OrderedTruncate2To(
      du16, f32_biased_exp_as_u32_q2, f32_biased_exp_as_u32_q3);
  return OrderedTruncate2To(d, lo_f32_biased_exp_as_u16,
                            hi_f32_biased_exp_as_u16);
#endif
}
#endif  // HWY_TARGET != HWY_SCALAR

#if HWY_TARGET == HWY_SCALAR
template <class D>
using F32ExpLzcntMinMaxRepartition = RebindToUnsigned<D>;
#elif HWY_TARGET >= HWY_SSSE3 && HWY_TARGET <= HWY_SSE2
template <class D>
using F32ExpLzcntMinMaxRepartition = Repartition<uint8_t, D>;
#else
template <class D>
using F32ExpLzcntMinMaxRepartition =
    Repartition<UnsignedFromSize<HWY_MIN(sizeof(TFromD<D>), 4)>, D>;
#endif

template <class V>
using F32ExpLzcntMinMaxCmpV = VFromD<F32ExpLzcntMinMaxRepartition<DFromV<V>>>;

template <class V>
HWY_INLINE F32ExpLzcntMinMaxCmpV<V> F32ExpLzcntMinMaxBitCast(V v) {
  const DFromV<decltype(v)> d;
  const F32ExpLzcntMinMaxRepartition<decltype(d)> d2;
  return BitCast(d2, v);
}

template <class D, HWY_IF_U64_D(D)>
HWY_INLINE VFromD<D> UIntToF32BiasedExp(D d, VFromD<D> v) {
#if HWY_TARGET == HWY_SCALAR
  const uint64_t u64_val = GetLane(v);
  const float f32_val = static_cast<float>(u64_val);
  const uint32_t f32_bits = BitCastScalar<uint32_t>(f32_val);
  return Set(d, static_cast<uint64_t>(f32_bits >> 23));
#else
  const Repartition<uint32_t, decltype(d)> du32;
  const auto f32_biased_exp = UIntToF32BiasedExp(du32, BitCast(du32, v));
  const auto f32_biased_exp_adj =
      IfThenZeroElse(Eq(f32_biased_exp, Zero(du32)),
                     BitCast(du32, Set(d, 0x0000002000000000u)));
  const auto adj_f32_biased_exp = Add(f32_biased_exp, f32_biased_exp_adj);

return ShiftRight<32>(BitCast(
      d, Max(F32ExpLzcntMinMaxBitCast(adj_f32_biased_exp),
             F32ExpLzcntMinMaxBitCast(Reverse2(du32, adj_f32_biased_exp)))));
#endif
}

template <class V, HWY_IF_UNSIGNED_V(V)>
HWY_INLINE V UIntToF32BiasedExp(V v) {
  const DFromV<decltype(v)> d;
  return UIntToF32BiasedExp(d, v);
}

template <class V, HWY_IF_UNSIGNED_V(V),
          HWY_IF_T_SIZE_ONE_OF_V(V, (1 << 1) | (1 << 2))>
HWY_INLINE V NormalizeForUIntTruncConvToF32(V v) {
  return v;
}

template <class V, HWY_IF_UNSIGNED_V(V),
          HWY_IF_T_SIZE_ONE_OF_V(V, (1 << 4) | (1 << 8))>
HWY_INLINE V NormalizeForUIntTruncConvToF32(V v) {
  // If v[i] >= 16777216 is true, make sure that the bit at
  // HighestSetBitIndex(v[i]) - 24 is zeroed out to ensure that any inexact
  // conversion to single-precision floating point is rounded down.

// This zeroing-out can be accomplished through the AndNot operation below.
  return AndNot(ShiftRight<24>(v), v);
}

}  // namespace detail

template <class V, HWY_IF_NOT_FLOAT_NOR_SPECIAL_V(V)>
HWY_API V HighestSetBitIndex(V v) {
  const DFromV<decltype(v)> d;
  const RebindToUnsigned<decltype(d)> du;
  using TU = TFromD<decltype(du)>;

const auto f32_biased_exp = detail::UIntToF32BiasedExp(
      detail::NormalizeForUIntTruncConvToF32(BitCast(du, v)));
  return BitCast(d, Sub(f32_biased_exp, Set(du, TU{127})));
}

template <class V, HWY_IF_NOT_FLOAT_NOR_SPECIAL_V(V)>
HWY_API V LeadingZeroCount(V v) {
  const DFromV<decltype(v)> d;
  const RebindToUnsigned<decltype(d)> du;
  using TU = TFromD<decltype(du)>;

constexpr TU kNumOfBitsInT{sizeof(TU) * 8};
  const auto f32_biased_exp = detail::UIntToF32BiasedExp(
      detail::NormalizeForUIntTruncConvToF32(BitCast(du, v)));
  const auto lz_count = Sub(Set(du, TU{kNumOfBitsInT + 126}), f32_biased_exp);

return BitCast(d,
                 Min(detail::F32ExpLzcntMinMaxBitCast(lz_count),
                     detail::F32ExpLzcntMinMaxBitCast(Set(du, kNumOfBitsInT))));
}

template <class V, HWY_IF_NOT_FLOAT_NOR_SPECIAL_V(V)>
HWY_API V TrailingZeroCount(V v) {
  const DFromV<decltype(v)> d;
  const RebindToUnsigned<decltype(d)> du;
  const RebindToSigned<decltype(d)> di;
  using TU = TFromD<decltype(du)>;

const auto vi = BitCast(di, v);
  const auto lowest_bit = BitCast(du, And(vi, Neg(vi)));

constexpr TU kNumOfBitsInT{sizeof(TU) * 8};
  const auto f32_biased_exp = detail::UIntToF32BiasedExp(lowest_bit);
  const auto tz_count = Sub(f32_biased_exp, Set(du, TU{127}));

return BitCast(d,
                 Min(detail::F32ExpLzcntMinMaxBitCast(tz_count),
                     detail::F32ExpLzcntMinMaxBitCast(Set(du, kNumOfBitsInT))));
}
#endif  // HWY_NATIVE_LEADING_ZERO_COUNT

// ------------------------------ MaskedLeadingZeroCount
#if (defined(HWY_NATIVE_MASKED_LEADING_ZERO_COUNT) == \
     defined(HWY_TARGET_TOGGLE))
#ifdef HWY_NATIVE_MASKED_LEADING_ZERO_COUNT
#undef HWY_NATIVE_MASKED_LEADING_ZERO_COUNT
#else
#define HWY_NATIVE_MASKED_LEADING_ZERO_COUNT
#endif

template <class V, HWY_IF_NOT_FLOAT_NOR_SPECIAL_V(V), class M>
HWY_API V MaskedLeadingZeroCount(M m, V v) {
  return IfThenElseZero(m, LeadingZeroCount(v));
}
#endif  // HWY_NATIVE_MASKED_LEADING_ZERO_COUNT

// ------------------------------ AESRound

// Cannot implement on scalar: need at least 16 bytes for TableLookupBytes.
#if HWY_TARGET != HWY_SCALAR || HWY_IDE

// Define for white-box testing, even if native instructions are available.
namespace detail {

// Constant-time: computes inverse in GF(2^4) based on "Accelerating AES with
// Vector Permute Instructions" and the accompanying assembly language
// implementation: https://crypto.stanford.edu/vpaes/vpaes.tgz. See also Botan:
// https://botan.randombit.net/doxygen/aes__vperm_8cpp_source.html .
//
// A brute-force 256 byte table lookup can also be made constant-time, and
// possibly competitive on NEON, but this is more performance-portable
// especially for x86 and large vectors.

template <class V>  // u8
HWY_INLINE V SubBytesMulInverseAndAffineLookup(V state, V affine_tblL,
                                               V affine_tblU) {
  const DFromV<V> du;
  const auto mask = Set(du, uint8_t{0xF});

// Change polynomial basis to GF(2^4)
  {
    const VFromD<decltype(du)> basisL =
        Dup128VecFromValues(du, 0x00, 0x70, 0x2A, 0x5A, 0x98, 0xE8, 0xB2, 0xC2,
                            0x08, 0x78, 0x22, 0x52, 0x90, 0xE0, 0xBA, 0xCA);
    const VFromD<decltype(du)> basisU =
        Dup128VecFromValues(du, 0x00, 0x4D, 0x7C, 0x31, 0x7D, 0x30, 0x01, 0x4C,
                            0x81, 0xCC, 0xFD, 0xB0, 0xFC, 0xB1, 0x80, 0xCD);
    const auto sL = And(state, mask);
    const auto sU = ShiftRight<4>(state);  // byte shift => upper bits are zero
    const auto gf4L = TableLookupBytes(basisL, sL);
    const auto gf4U = TableLookupBytes(basisU, sU);
    state = Xor(gf4L, gf4U);
  }

// Inversion in GF(2^4). Elements 0 represent "infinity" (division by 0) and
  // cause TableLookupBytesOr0 to return 0.
  const VFromD<decltype(du)> zetaInv = Dup128VecFromValues(
      du, 0x80, 7, 11, 15, 6, 10, 4, 1, 9, 8, 5, 2, 12, 14, 13, 3);
  const VFromD<decltype(du)> tbl = Dup128VecFromValues(
      du, 0x80, 1, 8, 13, 15, 6, 5, 14, 2, 12, 11, 10, 9, 3, 7, 4);
  const auto sL = And(state, mask);      // L=low nibble, U=upper
  const auto sU = ShiftRight<4>(state);  // byte shift => upper bits are zero
  const auto sX = Xor(sU, sL);
  const auto invL = TableLookupBytes(zetaInv, sL);
  const auto invU = TableLookupBytes(tbl, sU);
  const auto invX = TableLookupBytes(tbl, sX);
  const auto outL = Xor(sX, TableLookupBytesOr0(tbl, Xor(invL, invU)));
  const auto outU = Xor(sU, TableLookupBytesOr0(tbl, Xor(invL, invX)));

const auto affL = TableLookupBytesOr0(affine_tblL, outL);
  const auto affU = TableLookupBytesOr0(affine_tblU, outU);
  return Xor(affL, affU);
}

template <class V>  // u8
HWY_INLINE V SubBytes(V state) {
  const DFromV<V> du;
  // Linear skew (cannot bake 0x63 bias into the table because out* indices
  // may have the infinity flag set).
  const VFromD<decltype(du)> affineL =
      Dup128VecFromValues(du, 0x00, 0xC7, 0xBD, 0x6F, 0x17, 0x6D, 0xD2, 0xD0,
                          0x78, 0xA8, 0x02, 0xC5, 0x7A, 0xBF, 0xAA, 0x15);
  const VFromD<decltype(du)> affineU =
      Dup128VecFromValues(du, 0x00, 0x6A, 0xBB, 0x5F, 0xA5, 0x74, 0xE4, 0xCF,
                          0xFA, 0x35, 0x2B, 0x41, 0xD1, 0x90, 0x1E, 0x8E);
  return Xor(SubBytesMulInverseAndAffineLookup(state, affineL, affineU),
             Set(du, uint8_t{0x63}));
}

template <class V>  // u8
HWY_INLINE V InvSubBytes(V state) {
  const DFromV<V> du;
  const VFromD<decltype(du)> gF2P4InvToGF2P8InvL =
      Dup128VecFromValues(du, 0x00, 0x40, 0xF9, 0x7E, 0x53, 0xEA, 0x87, 0x13,
                          0x2D, 0x3E, 0x94, 0xD4, 0xB9, 0x6D, 0xAA, 0xC7);
  const VFromD<decltype(du)> gF2P4InvToGF2P8InvU =
      Dup128VecFromValues(du, 0x00, 0x1D, 0x44, 0x93, 0x0F, 0x56, 0xD7, 0x12,
                          0x9C, 0x8E, 0xC5, 0xD8, 0x59, 0x81, 0x4B, 0xCA);

// Apply the inverse affine transformation
  const auto b = Xor(Xor3(Or(ShiftLeft<1>(state), ShiftRight<7>(state)),
                          Or(ShiftLeft<3>(state), ShiftRight<5>(state)),
                          Or(ShiftLeft<6>(state), ShiftRight<2>(state))),
                     Set(du, uint8_t{0x05}));

// The GF(2^8) multiplicative inverse is computed as follows:
  // - Changing the polynomial basis to GF(2^4)
  // - Computing the GF(2^4) multiplicative inverse
  // - Converting the GF(2^4) multiplicative inverse to the GF(2^8)
  //   multiplicative inverse through table lookups using the
  //   kGF2P4InvToGF2P8InvL and kGF2P4InvToGF2P8InvU tables
  return SubBytesMulInverseAndAffineLookup(b, gF2P4InvToGF2P8InvL,
                                           gF2P4InvToGF2P8InvU);
}

}  // namespace detail

#endif  // HWY_TARGET != HWY_SCALAR

#if (defined(HWY_NATIVE_AES) == defined(HWY_TARGET_TOGGLE))
#ifdef HWY_NATIVE_AES
#undef HWY_NATIVE_AES
#else
#define HWY_NATIVE_AES
#endif

// (Must come after HWY_TARGET_TOGGLE, else we don't reset it for scalar)
#if HWY_TARGET != HWY_SCALAR || HWY_IDE

namespace detail {

template <class V>  // u8
HWY_INLINE V ShiftRows(const V state) {
  const DFromV<V> du;
  // transposed: state is column major
  const VFromD<decltype(du)> shift_row = Dup128VecFromValues(
      du, 0, 5, 10, 15, 4, 9, 14, 3, 8, 13, 2, 7, 12, 1, 6, 11);
  return TableLookupBytes(state, shift_row);
}

template <class V>  // u8
HWY_INLINE V InvShiftRows(const V state) {
  const DFromV<V> du;
  // transposed: state is column major
  const VFromD<decltype(du)> shift_row = Dup128VecFromValues(
      du, 0, 13, 10, 7, 4, 1, 14, 11, 8, 5, 2, 15, 12, 9, 6, 3);
  return TableLookupBytes(state, shift_row);
}

template <class V>  // u8
HWY_INLINE V GF2P8Mod11BMulBy2(V v) {
  const DFromV<V> du;
  const RebindToSigned<decltype(du)> di;  // can only do signed comparisons
  const auto msb = Lt(BitCast(di, v), Zero(di));
  const auto overflow = BitCast(du, IfThenElseZero(msb, Set(di, int8_t{0x1B})));
  return Xor(Add(v, v), overflow);  // = v*2 in GF(2^8).
}

template <class V>  // u8
HWY_INLINE V MixColumns(const V state) {
  const DFromV<V> du;
  // For each column, the rows are the sum of GF(2^8) matrix multiplication by:
  // 2 3 1 1  // Let s := state*1, d := state*2, t := state*3.
  // 1 2 3 1  // d are on diagonal, no permutation needed.
  // 1 1 2 3  // t1230 indicates column indices of threes for the 4 rows.
  // 3 1 1 2  // We also need to compute s2301 and s3012 (=1230 o 2301).
  const VFromD<decltype(du)> v2301 = Dup128VecFromValues(
      du, 2, 3, 0, 1, 6, 7, 4, 5, 10, 11, 8, 9, 14, 15, 12, 13);
  const VFromD<decltype(du)> v1230 = Dup128VecFromValues(
      du, 1, 2, 3, 0, 5, 6, 7, 4, 9, 10, 11, 8, 13, 14, 15, 12);
  const auto d = GF2P8Mod11BMulBy2(state);  // = state*2 in GF(2^8).
  const auto s2301 = TableLookupBytes(state, v2301);
  const auto d_s2301 = Xor(d, s2301);
  const auto t_s2301 = Xor(state, d_s2301);  // t(s*3) = XOR-sum {s, d(s*2)}
  const auto t1230_s3012 = TableLookupBytes(t_s2301, v1230);
  return Xor(d_s2301, t1230_s3012);  // XOR-sum of 4 terms
}

template <class V>  // u8
HWY_INLINE V InvMixColumns(const V state) {
  const DFromV<V> du;
  // For each column, the rows are the sum of GF(2^8) matrix multiplication by:
  // 14 11 13  9
  //  9 14 11 13
  // 13  9 14 11
  // 11 13  9 14
  const VFromD<decltype(du)> v2301 = Dup128VecFromValues(
      du, 2, 3, 0, 1, 6, 7, 4, 5, 10, 11, 8, 9, 14, 15, 12, 13);
  const VFromD<decltype(du)> v1230 = Dup128VecFromValues(
      du, 1, 2, 3, 0, 5, 6, 7, 4, 9, 10, 11, 8, 13, 14, 15, 12);

const auto sx2 = GF2P8Mod11BMulBy2(state); /* = state*2 in GF(2^8) */
  const auto sx4 = GF2P8Mod11BMulBy2(sx2);   /* = state*4 in GF(2^8) */
  const auto sx8 = GF2P8Mod11BMulBy2(sx4);   /* = state*8 in GF(2^8) */
  const auto sx9 = Xor(sx8, state);          /* = state*9 in GF(2^8) */
  const auto sx11 = Xor(sx9, sx2);           /* = state*11 in GF(2^8) */
  const auto sx13 = Xor(sx9, sx4);           /* = state*13 in GF(2^8) */
  const auto sx14 = Xor3(sx8, sx4, sx2);     /* = state*14 in GF(2^8) */

const auto sx13_0123_sx9_1230 = Xor(sx13, TableLookupBytes(sx9, v1230));
  const auto sx14_0123_sx11_1230 = Xor(sx14, TableLookupBytes(sx11, v1230));
  const auto sx13_2301_sx9_3012 = TableLookupBytes(sx13_0123_sx9_1230, v2301);
  return Xor(sx14_0123_sx11_1230, sx13_2301_sx9_3012);
}

}  // namespace detail

template <class V>  // u8
HWY_API V AESRound(V state, const V round_key) {
  // Intel docs swap the first two steps, but it does not matter because
  // ShiftRows is a permutation and SubBytes is independent of lane index.
  state = detail::SubBytes(state);
  state = detail::ShiftRows(state);
  state = detail::MixColumns(state);
  state = Xor(state, round_key);  // AddRoundKey
  return state;
}

template <class V>  // u8
HWY_API V AESLastRound(V state, const V round_key) {
  // LIke AESRound, but without MixColumns.
  state = detail::SubBytes(state);
  state = detail::ShiftRows(state);
  state = Xor(state, round_key);  // AddRoundKey
  return state;
}

template <class V>
HWY_API V AESInvMixColumns(V state) {
  return detail::InvMixColumns(state);
}

template <class V>  // u8
HWY_API V AESRoundInv(V state, const V round_key) {
  state = detail::InvSubBytes(state);
  state = detail::InvShiftRows(state);
  state = detail::InvMixColumns(state);
  state = Xor(state, round_key);  // AddRoundKey
  return state;
}

template <class V>  // u8
HWY_API V AESLastRoundInv(V state, const V round_key) {
  // Like AESRoundInv, but without InvMixColumns.
  state = detail::InvSubBytes(state);
  state = detail::InvShiftRows(state);
  state = Xor(state, round_key);  // AddRoundKey
  return state;
}

template <uint8_t kRcon, class V, HWY_IF_U8_D(DFromV<V>)>
HWY_API V AESKeyGenAssist(V v) {
  const DFromV<decltype(v)> d;
  const V rconXorMask = Dup128VecFromValues(d, 0, 0, 0, 0, kRcon, 0, 0, 0, 0, 0,
                                            0, 0, kRcon, 0, 0, 0);
  const V rotWordShuffle = Dup128VecFromValues(d, 4, 5, 6, 7, 5, 6, 7, 4, 12,
                                               13, 14, 15, 13, 14, 15, 12);
  const auto sub_word_result = detail::SubBytes(v);
  const auto rot_word_result =
      TableLookupBytes(sub_word_result, rotWordShuffle);
  return Xor(rot_word_result, rconXorMask);
}

// Constant-time implementation inspired by
// https://www.bearssl.org/constanttime.html, but about half the cost because we
// use 64x64 multiplies and 128-bit XORs.
template <class V>
HWY_API V CLMulLower(V a, V b) {
  const DFromV<V> d;
  static_assert(IsSame<TFromD<decltype(d)>, uint64_t>(), "V must be u64");
  const auto k1 = Set(d, 0x1111111111111111ULL);
  const auto k2 = Set(d, 0x2222222222222222ULL);
  const auto k4 = Set(d, 0x4444444444444444ULL);
  const auto k8 = Set(d, 0x8888888888888888ULL);
  const auto a0 = And(a, k1);
  const auto a1 = And(a, k2);
  const auto a2 = And(a, k4);
  const auto a3 = And(a, k8);
  const auto b0 = And(b, k1);
  const auto b1 = And(b, k2);
  const auto b2 = And(b, k4);
  const auto b3 = And(b, k8);

auto m0 = Xor(MulEven(a0, b0), MulEven(a1, b3));
  auto m1 = Xor(MulEven(a0, b1), MulEven(a1, b0));
  auto m2 = Xor(MulEven(a0, b2), MulEven(a1, b1));
  auto m3 = Xor(MulEven(a0, b3), MulEven(a1, b2));
  m0 = Xor(m0, Xor(MulEven(a2, b2), MulEven(a3, b1)));
  m1 = Xor(m1, Xor(MulEven(a2, b3), MulEven(a3, b2)));
  m2 = Xor(m2, Xor(MulEven(a2, b0), MulEven(a3, b3)));
  m3 = Xor(m3, Xor(MulEven(a2, b1), MulEven(a3, b0)));
  return Or(Or(And(m0, k1), And(m1, k2)), Or(And(m2, k4), And(m3, k8)));
}

template <class V>
HWY_API V CLMulUpper(V a, V b) {
  const DFromV<V> d;
  static_assert(IsSame<TFromD<decltype(d)>, uint64_t>(), "V must be u64");
  const auto k1 = Set(d, 0x1111111111111111ULL);
  const auto k2 = Set(d, 0x2222222222222222ULL);
  const auto k4 = Set(d, 0x4444444444444444ULL);
  const auto k8 = Set(d, 0x8888888888888888ULL);
  const auto a0 = And(a, k1);
  const auto a1 = And(a, k2);
  const auto a2 = And(a, k4);
  const auto a3 = And(a, k8);
  const auto b0 = And(b, k1);
  const auto b1 = And(b, k2);
  const auto b2 = And(b, k4);
  const auto b3 = And(b, k8);

auto m0 = Xor(MulOdd(a0, b0), MulOdd(a1, b3));
  auto m1 = Xor(MulOdd(a0, b1), MulOdd(a1, b0));
  auto m2 = Xor(MulOdd(a0, b2), MulOdd(a1, b1));
  auto m3 = Xor(MulOdd(a0, b3), MulOdd(a1, b2));
  m0 = Xor(m0, Xor(MulOdd(a2, b2), MulOdd(a3, b1)));
  m1 = Xor(m1, Xor(MulOdd(a2, b3), MulOdd(a3, b2)));
  m2 = Xor(m2, Xor(MulOdd(a2, b0), MulOdd(a3, b3)));
  m3 = Xor(m3, Xor(MulOdd(a2, b1), MulOdd(a3, b0)));
  return Or(Or(And(m0, k1), And(m1, k2)), Or(And(m2, k4), And(m3, k8)));
}

#endif  // HWY_NATIVE_AES
#endif  // HWY_TARGET != HWY_SCALAR

// ------------------------------ PopulationCount

#if (defined(HWY_NATIVE_POPCNT) == defined(HWY_TARGET_TOGGLE))
#ifdef HWY_NATIVE_POPCNT
#undef HWY_NATIVE_POPCNT
#else
#define HWY_NATIVE_POPCNT
#endif

// This overload requires vectors to be at least 16 bytes, which is the case
// for LMUL >= 2.
#undef HWY_IF_POPCNT
#if HWY_TARGET == HWY_RVV
#define HWY_IF_POPCNT(D) \
  hwy::EnableIf<D().Pow2() >= 1 && D().MaxLanes() >= 16>* = nullptr
#else
// Other targets only have these two overloads which are mutually exclusive, so
// no further conditions are required.
#define HWY_IF_POPCNT(D) void* = nullptr
#endif  // HWY_TARGET == HWY_RVV

template <class V, class D = DFromV<V>, HWY_IF_U8_D(D),
          HWY_IF_V_SIZE_GT_D(D, 8), HWY_IF_POPCNT(D)>
HWY_API V PopulationCount(V v) {
  const D d;
  const V lookup =
      Dup128VecFromValues(d, 0, 1, 1, 2, 1, 2, 2, 3, 1, 2, 2, 3, 2, 3, 3, 4);
  const auto lo = And(v, Set(d, uint8_t{0xF}));
  const auto hi = ShiftRight<4>(v);
  return Add(TableLookupBytes(lookup, hi), TableLookupBytes(lookup, lo));
}

// RVV has a specialization that avoids the Set().
#if HWY_TARGET != HWY_RVV
// Slower fallback for capped vectors.
template <class V, class D = DFromV<V>, HWY_IF_U8_D(D),
          HWY_IF_V_SIZE_LE_D(D, 8)>
HWY_API V PopulationCount(V v) {
  const D d;
  // See https://arxiv.org/pdf/1611.07612.pdf, Figure 3
  const V k33 = Set(d, uint8_t{0x33});
  v = Sub(v, And(ShiftRight<1>(v), Set(d, uint8_t{0x55})));
  v = Add(And(ShiftRight<2>(v), k33), And(v, k33));
  return And(Add(v, ShiftRight<4>(v)), Set(d, uint8_t{0x0F}));
}
#endif  // HWY_TARGET != HWY_RVV

template <class V, class D = DFromV<V>, HWY_IF_U16_D(D)>
HWY_API V PopulationCount(V v) {
  const D d;
  const Repartition<uint8_t, decltype(d)> d8;
  const auto vals = BitCast(d, PopulationCount(BitCast(d8, v)));
  return Add(ShiftRight<8>(vals), And(vals, Set(d, uint16_t{0xFF})));
}

template <class V, class D = DFromV<V>, HWY_IF_U32_D(D)>
HWY_API V PopulationCount(V v) {
  const D d;
  Repartition<uint16_t, decltype(d)> d16;
  auto vals = BitCast(d, PopulationCount(BitCast(d16, v)));
  return Add(ShiftRight<16>(vals), And(vals, Set(d, uint32_t{0xFF})));
}

#if HWY_HAVE_INTEGER64
template <class V, class D = DFromV<V>, HWY_IF_U64_D(D)>
HWY_API V PopulationCount(V v) {
  const D d;
  Repartition<uint32_t, decltype(d)> d32;
  auto vals = BitCast(d, PopulationCount(BitCast(d32, v)));
  return Add(ShiftRight<32>(vals), And(vals, Set(d, 0xFFULL)));
}
#endif

#endif  // HWY_NATIVE_POPCNT

// ------------------------------ 8-bit multiplication

#if (defined(HWY_NATIVE_MUL_8) == defined(HWY_TARGET_TOGGLE)) || HWY_IDE
#ifdef HWY_NATIVE_MUL_8
#undef HWY_NATIVE_MUL_8
#else
#define HWY_NATIVE_MUL_8
#endif

// 8 bit and fits in wider reg: promote
template <class V, HWY_IF_T_SIZE_V(V, 1),
          HWY_IF_V_SIZE_LE_V(V, HWY_MAX_BYTES / 2)>
HWY_API V operator*(const V a, const V b) {
  const DFromV<decltype(a)> d;
  const Rebind<MakeWide<TFromV<V>>, decltype(d)> dw;
  const RebindToUnsigned<decltype(d)> du;    // TruncateTo result
  const RebindToUnsigned<decltype(dw)> dwu;  // TruncateTo input
  const VFromD<decltype(dw)> mul = PromoteTo(dw, a) * PromoteTo(dw, b);
  // TruncateTo is cheaper than ConcatEven.
  return BitCast(d, TruncateTo(du, BitCast(dwu, mul)));
}

// 8 bit full reg: promote halves
template <class V, HWY_IF_T_SIZE_V(V, 1),
          HWY_IF_V_SIZE_GT_V(V, HWY_MAX_BYTES / 2)>
HWY_API V operator*(const V a, const V b) {
  const DFromV<decltype(a)> d;
  const Half<decltype(d)> dh;
  const Twice<RepartitionToWide<decltype(dh)>> dw;
  const VFromD<decltype(dw)> a0 = PromoteTo(dw, LowerHalf(dh, a));
  const VFromD<decltype(dw)> a1 = PromoteTo(dw, UpperHalf(dh, a));
  const VFromD<decltype(dw)> b0 = PromoteTo(dw, LowerHalf(dh, b));
  const VFromD<decltype(dw)> b1 = PromoteTo(dw, UpperHalf(dh, b));
  const VFromD<decltype(dw)> m0 = a0 * b0;
  const VFromD<decltype(dw)> m1 = a1 * b1;
  return ConcatEven(d, BitCast(d, m1), BitCast(d, m0));
}

#endif  // HWY_NATIVE_MUL_8

// ------------------------------ 64-bit multiplication

#if (defined(HWY_NATIVE_MUL_64) == defined(HWY_TARGET_TOGGLE)) || HWY_IDE
#ifdef HWY_NATIVE_MUL_64
#undef HWY_NATIVE_MUL_64
#else
#define HWY_NATIVE_MUL_64
#endif

// Single-lane i64 or u64
template <class V, HWY_IF_T_SIZE_V(V, 8), HWY_IF_V_SIZE_V(V, 8),
          HWY_IF_NOT_FLOAT_V(V)>
HWY_API V operator*(V x, V y) {
  const DFromV<V> d;
  using T = TFromD<decltype(d)>;
  using TU = MakeUnsigned<T>;
  const TU xu = static_cast<TU>(GetLane(x));
  const TU yu = static_cast<TU>(GetLane(y));
  return Set(d, static_cast<T>(xu * yu));
}

template <class V, class D64 = DFromV<V>, HWY_IF_U64_D(D64),
          HWY_IF_V_SIZE_GT_D(D64, 8)>
HWY_API V operator*(V x, V y) {
  RepartitionToNarrow<D64> d32;
  auto x32 = BitCast(d32, x);
  auto y32 = BitCast(d32, y);
  auto lolo = BitCast(d32, MulEven(x32, y32));
  auto lohi = BitCast(d32, MulEven(x32, BitCast(d32, ShiftRight<32>(y))));
  auto hilo = BitCast(d32, MulEven(BitCast(d32, ShiftRight<32>(x)), y32));
  auto hi = BitCast(d32, ShiftLeft<32>(BitCast(D64{}, lohi + hilo)));
  return BitCast(D64{}, lolo + hi);
}
template <class V, class DI64 = DFromV<V>, HWY_IF_I64_D(DI64),
          HWY_IF_V_SIZE_GT_D(DI64, 8)>
HWY_API V operator*(V x, V y) {
  RebindToUnsigned<DI64> du64;
  return BitCast(DI64{}, BitCast(du64, x) * BitCast(du64, y));
}

#endif  // HWY_NATIVE_MUL_64

// ------------------------------ MulRound
template <class V, HWY_IF_FLOAT_V(V)>
HWY_API V MulRound(V a, V b) {
  return Round(Mul(a, b));
}

// ------------------------------ MulAdd / NegMulAdd

#if (defined(HWY_NATIVE_INT_FMA) == defined(HWY_TARGET_TOGGLE))
#ifdef HWY_NATIVE_INT_FMA
#undef HWY_NATIVE_INT_FMA
#else
#define HWY_NATIVE_INT_FMA
#endif

#ifdef HWY_NATIVE_INT_FMSUB
#undef HWY_NATIVE_INT_FMSUB
#else
#define HWY_NATIVE_INT_FMSUB
#endif

template <class V, HWY_IF_NOT_FLOAT_NOR_SPECIAL_V(V)>
HWY_API V MulAdd(V mul, V x, V add) {
  return Add(Mul(mul, x), add);
}

template <class V, HWY_IF_NOT_FLOAT_NOR_SPECIAL_V(V)>
HWY_API V NegMulAdd(V mul, V x, V add) {
  return Sub(add, Mul(mul, x));
}

template <class V, HWY_IF_NOT_FLOAT_NOR_SPECIAL_V(V)>
HWY_API V MulSub(V mul, V x, V sub) {
  return Sub(Mul(mul, x), sub);
}
#endif  // HWY_NATIVE_INT_FMA
// ------------------------------ MulComplex* / MaskedMulComplex*

#if (defined(HWY_NATIVE_CPLX) == defined(HWY_TARGET_TOGGLE))
#ifdef HWY_NATIVE_CPLX
#undef HWY_NATIVE_CPLX
#else
#define HWY_NATIVE_CPLX
#endif

#if HWY_TARGET != HWY_SCALAR || HWY_IDE

template <class V, HWY_IF_NOT_UNSIGNED(TFromV<V>)>
HWY_API V ComplexConj(V a) {
  return OddEven(Neg(a), a);
}

template <class V>
HWY_API V MulComplex(V a, V b) {
  // a = u + iv, b = x + iy
  const auto u = DupEven(a);
  const auto v = DupOdd(a);
  const auto x = DupEven(b);
  const auto y = DupOdd(b);

return OddEven(MulAdd(u, y, Mul(v, x)), Sub(Mul(u, x), Mul(v, y)));
}

template <class V>
HWY_API V MulComplexConj(V a, V b) {
  // a = u + iv, b = x + iy
  const auto u = DupEven(a);
  const auto v = DupOdd(a);
  const auto x = DupEven(b);
  const auto y = DupOdd(b);

return OddEven(Sub(Mul(v, x), Mul(u, y)), MulAdd(u, x, Mul(v, y)));
}

template <class V>
HWY_API V MulComplexAdd(V a, V b, V c) {
  return Add(MulComplex(a, b), c);
}

template <class V>
HWY_API V MulComplexConjAdd(V a, V b, V c) {
  return Add(MulComplexConj(a, b), c);
}

template <class V, class M>
HWY_API V MaskedMulComplexConjAdd(M mask, V a, V b, V c) {
  return IfThenElseZero(mask, MulComplexConjAdd(a, b, c));
}

template <class V, class M>
HWY_API V MaskedMulComplexConj(M mask, V a, V b) {
  return IfThenElseZero(mask, MulComplexConj(a, b));
}

template <class V, class M>
HWY_API V MaskedMulComplexOr(V no, M mask, V a, V b) {
  return IfThenElse(mask, MulComplex(a, b), no);
}
#endif  // HWY_TARGET != HWY_SCALAR

#endif  // HWY_NATIVE_CPLX

// ------------------------------ MaskedMulAddOr
#if (defined(HWY_NATIVE_MASKED_INT_FMA) == defined(HWY_TARGET_TOGGLE))
#ifdef HWY_NATIVE_MASKED_INT_FMA
#undef HWY_NATIVE_MASKED_INT_FMA
#else
#define HWY_NATIVE_MASKED_INT_FMA
#endif

template <class V, class M>
HWY_API V MaskedMulAddOr(V no, M m, V mul, V x, V add) {
  return IfThenElse(m, MulAdd(mul, x, add), no);
}

#endif  // HWY_NATIVE_MASKED_INT_FMA

// ------------------------------ Integer MulSub / NegMulSub
#if (defined(HWY_NATIVE_INT_FMSUB) == defined(HWY_TARGET_TOGGLE))
#ifdef HWY_NATIVE_INT_FMSUB
#undef HWY_NATIVE_INT_FMSUB
#else
#define HWY_NATIVE_INT_FMSUB
#endif

template <class V, HWY_IF_NOT_FLOAT_NOR_SPECIAL_V(V)>
HWY_API V MulSub(V mul, V x, V sub) {
  const DFromV<decltype(mul)> d;
  const RebindToSigned<decltype(d)> di;
  return MulAdd(mul, x, BitCast(d, Neg(BitCast(di, sub))));
}

#endif  // HWY_NATIVE_INT_FMSUB

template <class V, HWY_IF_NOT_FLOAT_NOR_SPECIAL_V(V)>
HWY_API V NegMulSub(V mul, V x, V sub) {
  const DFromV<decltype(mul)> d;
  const RebindToSigned<decltype(d)> di;

return BitCast(d, Neg(BitCast(di, MulAdd(mul, x, sub))));
}

// ------------------------------ MulAddSub

// MulAddSub(mul, x, sub_or_add) for a 1-lane vector is equivalent to
// MulSub(mul, x, sub_or_add)
template <class V, HWY_IF_LANES_D(DFromV<V>, 1)>
HWY_API V MulAddSub(V mul, V x, V sub_or_add) {
  return MulSub(mul, x, sub_or_add);
}

// MulAddSub for F16/F32/F64 vectors with 2 or more lanes on
// SSSE3/SSE4/AVX2/AVX3 is implemented in x86_128-inl.h, x86_256-inl.h, and
// x86_512-inl.h

// MulAddSub for F16/F32/F64 vectors on SVE is implemented in arm_sve-inl.h

// MulAddSub for integer vectors on SVE2 is implemented in arm_sve-inl.h
template <class V, HWY_IF_MULADDSUB_V(V)>
HWY_API V MulAddSub(V mul, V x, V sub_or_add) {
  using D = DFromV<V>;
  using T = TFromD<D>;
  using TNegate = If<!IsSigned<T>(), MakeSigned<T>, T>;

const D d;
  const Rebind<TNegate, D> d_negate;

const auto add =
      OddEven(sub_or_add, BitCast(d, Neg(BitCast(d_negate, sub_or_add))));
  return MulAdd(mul, x, add);
}
// ------------------------------ MulSubAdd

template <class V>
HWY_API V MulSubAdd(V mul, V x, V sub_or_add) {
  using D = DFromV<V>;
  using T = TFromD<D>;
  using TNegate = If<!IsSigned<T>(), MakeSigned<T>, T>;

const D d;
  const Rebind<TNegate, D> d_negate;

return MulAddSub(mul, x, BitCast(d, Neg(BitCast(d_negate, sub_or_add))));
}

// ------------------------------ MaskedConvertTo
template <class D, class V, class M>
HWY_API VFromD<D> MaskedConvertTo(M m, D d, V v) {
  return IfThenElseZero(m, ConvertTo(d, v));
}

// ------------------------------ Integer division
#if (defined(HWY_NATIVE_INT_DIV) == defined(HWY_TARGET_TOGGLE))
#ifdef HWY_NATIVE_INT_DIV
#undef HWY_NATIVE_INT_DIV
#else
#define HWY_NATIVE_INT_DIV
#endif

namespace detail {

// DemoteInRangeTo, PromoteInRangeTo, and ConvertInRangeTo are okay to use in
// the implementation of detail::IntDiv in generic_ops-inl.h as the current
// implementations of DemoteInRangeTo, PromoteInRangeTo, and ConvertInRangeTo
// will convert values that are outside of the range of TFromD<DI> by either
// saturation, truncation, or converting values that are outside of the
// destination range to LimitsMin<TFromD<DI>>() (which is equal to
// static_cast<TFromD<DI>>(LimitsMax<TFromD<DI>>() + 1))

template <class D, class V, HWY_IF_T_SIZE_D(D, sizeof(TFromV<V>))>
HWY_INLINE Vec<D> IntDivConvFloatToInt(D di, V vf) {
  return ConvertInRangeTo(di, vf);
}

template <class D, class V, HWY_IF_T_SIZE_D(D, sizeof(TFromV<V>))>
HWY_INLINE Vec<D> IntDivConvIntToFloat(D df, V vi) {
  return ConvertTo(df, vi);
}

#if !HWY_HAVE_FLOAT64 && HWY_HAVE_INTEGER64
template <class D, class V, HWY_IF_UI64_D(D), HWY_IF_F32(TFromV<V>)>
HWY_INLINE Vec<D> IntDivConvFloatToInt(D df, V vi) {
  return PromoteInRangeTo(df, vi);
}

// If !HWY_HAVE_FLOAT64 && HWY_HAVE_INTEGER64 is true, then UI64->F32
// IntDivConvIntToFloat(df, vi) returns an approximation of
// static_cast<float>(v[i]) that is within 4 ULP of static_cast<float>(v[i])
template <class D, class V, HWY_IF_F32_D(D), HWY_IF_I64(TFromV<V>)>
HWY_INLINE Vec<D> IntDivConvIntToFloat(D df32, V vi) {
  const Twice<decltype(df32)> dt_f32;

auto vf32 =
      ConvertTo(dt_f32, BitCast(RebindToSigned<decltype(dt_f32)>(), vi));

#if HWY_IS_LITTLE_ENDIAN
  const auto lo_f32 = LowerHalf(df32, ConcatEven(dt_f32, vf32, vf32));
  auto hi_f32 = LowerHalf(df32, ConcatOdd(dt_f32, vf32, vf32));
#else
  const auto lo_f32 = LowerHalf(df32, ConcatOdd(dt_f32, vf32, vf32));
  auto hi_f32 = LowerHalf(df32, ConcatEven(dt_f32, vf32, vf32));
#endif

const RebindToSigned<decltype(df32)> di32;

hi_f32 =
      Add(hi_f32, And(BitCast(df32, BroadcastSignBit(BitCast(di32, lo_f32))),
                      Set(df32, 1.0f)));
  return hwy::HWY_NAMESPACE::MulAdd(hi_f32, Set(df32, 4294967296.0f), lo_f32);
}

template <class D, class V, HWY_IF_F32_D(D), HWY_IF_U64(TFromV<V>)>
HWY_INLINE Vec<D> IntDivConvIntToFloat(D df32, V vu) {
  const Twice<decltype(df32)> dt_f32;

auto vf32 =
      ConvertTo(dt_f32, BitCast(RebindToUnsigned<decltype(dt_f32)>(), vu));

#if HWY_IS_LITTLE_ENDIAN
  const auto lo_f32 = LowerHalf(df32, ConcatEven(dt_f32, vf32, vf32));
  const auto hi_f32 = LowerHalf(df32, ConcatOdd(dt_f32, vf32, vf32));
#else
  const auto lo_f32 = LowerHalf(df32, ConcatOdd(dt_f32, vf32, vf32));
  const auto hi_f32 = LowerHalf(df32, ConcatEven(dt_f32, vf32, vf32));
#endif

return hwy::HWY_NAMESPACE::MulAdd(hi_f32, Set(df32, 4294967296.0f), lo_f32);
}
#endif  // !HWY_HAVE_FLOAT64 && HWY_HAVE_INTEGER64

template <size_t kOrigLaneSize, class V, HWY_IF_NOT_FLOAT_NOR_SPECIAL_V(V),
          HWY_IF_T_SIZE_GT(TFromV<V>, kOrigLaneSize)>
HWY_INLINE V IntDivUsingFloatDiv(V a, V b) {
  const DFromV<decltype(a)> d;
  const RebindToFloat<decltype(d)> df;

// If kOrigLaneSize < sizeof(T) is true, then a[i] and b[i] are both in the
  // [LimitsMin<SignedFromSize<kOrigLaneSize>>(),
  // LimitsMax<UnsignedFromSize<kOrigLaneSize>>()] range.

// floor(|a[i] / b[i]|) <= |flt_q| < floor(|a[i] / b[i]|) + 1 is also
  // guaranteed to be true if MakeFloat<T> has at least kOrigLaneSize*8 + 1
  // mantissa bits (including the implied one bit), where flt_q is equal to
  // static_cast<MakeFloat<T>>(a[i]) / static_cast<MakeFloat<T>>(b[i]),
  // even in the case where the magnitude of an inexact floating point division
  // result is rounded up.

// In other words, floor(flt_q) < flt_q < ceil(flt_q) is guaranteed to be true
  // if (a[i] % b[i]) != 0 is true and MakeFloat<T> has at least
  // kOrigLaneSize*8 + 1 mantissa bits (including the implied one bit), even in
  // the case where the magnitude of an inexact floating point division result
  // is rounded up.

// It is okay to do conversions from MakeFloat<TFromV<V>> to TFromV<V> using
  // ConvertInRangeTo if sizeof(TFromV<V>) > kOrigLaneSize as the result of the
  // floating point division is always greater than LimitsMin<TFromV<V>>() and
  // less than LimitsMax<TFromV<V>>() if sizeof(TFromV<V>) > kOrigLaneSize and
  // b[i] != 0.

#if HWY_TARGET_IS_NEON && !HWY_HAVE_FLOAT64
  // On Armv7, do division by multiplying by the ApproximateReciprocal
  // to avoid unnecessary overhead as F32 Div refines the approximate
  // reciprocal using 4 Newton-Raphson iterations

const RebindToSigned<decltype(d)> di;
  const RebindToUnsigned<decltype(d)> du;

const auto flt_b = ConvertTo(df, b);
  auto flt_recip_b = ApproximateReciprocal(flt_b);
  if (kOrigLaneSize > 1) {
    flt_recip_b =
        Mul(flt_recip_b, ReciprocalNewtonRaphsonStep(flt_recip_b, flt_b));
  }

auto q0 = ConvertInRangeTo(d, Mul(ConvertTo(df, a), flt_recip_b));
  const auto r0 = BitCast(di, hwy::HWY_NAMESPACE::NegMulAdd(q0, b, a));

auto r1 = r0;

// Need to negate r1[i] if a[i] < 0 is true
  if (IsSigned<TFromV<V>>()) {
    r1 = IfNegativeThenNegOrUndefIfZero(BitCast(di, a), r1);
  }

// r1[i] is now equal to (a[i] < 0) ? (-r0[i]) : r0[i]

auto abs_b = BitCast(du, b);
  if (IsSigned<TFromV<V>>()) {
    abs_b = BitCast(du, Abs(BitCast(di, abs_b)));
  }

// If (r1[i] < 0 || r1[i] >= abs_b[i]) is true, then set q1[i] to -1.
  // Otherwise, set q1[i] to 0.

// (r1[i] < 0 || r1[i] >= abs_b[i]) can be carried out using a single unsigned
  // comparison as static_cast<TU>(r1[i]) >= TU(LimitsMax<TI>() + 1) >= abs_b[i]
  // will be true if r1[i] < 0 is true.
  auto q1 = BitCast(di, VecFromMask(du, Ge(BitCast(du, r1), abs_b)));

// q1[i] is now equal to (r1[i] < 0 || r1[i] >= abs_b[i]) ? -1 : 0

// Need to negate q1[i] if r0[i] and b[i] do not have the same sign
  auto q1_negate_mask = r0;
  if (IsSigned<TFromV<V>>()) {
    q1_negate_mask = Xor(q1_negate_mask, BitCast(di, b));
  }
  q1 = IfNegativeThenElse(q1_negate_mask, Neg(q1), q1);

// q1[i] is now equal to (r1[i] < 0 || r1[i] >= abs_b[i]) ?
  //                       (((r0[i] ^ b[i]) < 0) ? 1 : -1)

// Need to subtract q1[i] from q0[i] to get the final result
  return Sub(q0, BitCast(d, q1));
#else
  // On targets other than Armv7 NEON, use F16 or F32 division as most targets
  // other than Armv7 NEON have native F32 divide instructions
  return ConvertInRangeTo(d, Div(ConvertTo(df, a), ConvertTo(df, b)));
#endif
}

template <size_t kOrigLaneSize, class V, HWY_IF_NOT_FLOAT_NOR_SPECIAL_V(V),
          HWY_IF_T_SIZE(TFromV<V>, kOrigLaneSize),
          HWY_IF_T_SIZE_ONE_OF_V(V, (1 << 4) | (1 << 8))>
HWY_INLINE V IntDivUsingFloatDiv(V a, V b) {
  // If kOrigLaneSize == sizeof(T) is true, at least two reciprocal
  // multiplication steps are needed as the mantissa of MakeFloat<T> has fewer
  // than kOrigLaneSize*8 + 1 bits

using T = TFromV<V>;

#if HWY_HAVE_FLOAT64
  using TF = MakeFloat<T>;
#else
  using TF = float;
#endif

const DFromV<decltype(a)> d;
  const RebindToSigned<decltype(d)> di;
  const RebindToUnsigned<decltype(d)> du;
  const Rebind<TF, decltype(d)> df;

if (!IsSigned<T>()) {
    // If T is unsigned, set a[i] to (a[i] >= b[i] ? 1 : 0) and set b[i] to 1 if
    // b[i] > LimitsMax<MakeSigned<T>>() is true

const auto one = Set(di, MakeSigned<T>{1});
    a = BitCast(
        d, IfNegativeThenElse(BitCast(di, b),
                              IfThenElseZero(RebindMask(di, Ge(a, b)), one),
                              BitCast(di, a)));
    b = BitCast(d, IfNegativeThenElse(BitCast(di, b), one, BitCast(di, b)));
  }

// LimitsMin<T>() <= b[i] <= LimitsMax<MakeSigned<T>>() is now true

const auto flt_b = IntDivConvIntToFloat(df, b);

#if HWY_TARGET_IS_NEON && !HWY_HAVE_FLOAT64
  auto flt_recip_b = ApproximateReciprocal(flt_b);
  flt_recip_b =
      Mul(flt_recip_b, ReciprocalNewtonRaphsonStep(flt_recip_b, flt_b));
#else
  const auto flt_recip_b = Div(Set(df, TF(1.0)), flt_b);
#endif

// It is okay if the conversion of a[i] * flt_recip_b[i] to T using
  // IntDivConvFloatToInt returns incorrect results in any lanes where b[i] == 0
  // as the result of IntDivUsingFloatDiv(a, b) is implementation-defined in any
  // lanes where b[i] == 0.

// If ScalarAbs(b[i]) == 1 is true, then it is possible for
  // a[i] * flt_recip_b[i] to be rounded up to a value that is outside of the
  // range of T. If a[i] * flt_recip_b[i] is outside of the range of T,
  // IntDivConvFloatToInt will convert any values that are out of the range of T
  // by either saturation, truncation, or wrapping around to LimitsMin<T>().

// It is okay if the conversion of a[i] * flt_recip_b[i] to T using
  // IntDivConvFloatToInt wraps around if ScalarAbs(b[i]) == 1 as r0 will have
  // the correct sign if ScalarAbs(b[i]) == 1, even in the cases where the
  // conversion of a[i] * flt_recip_b[i] to T using IntDivConvFloatToInt is
  // truncated or wraps around.

// If ScalarAbs(b[i]) >= 2 is true, a[i] * flt_recip_b[i] will be within the
  // range of T, even in the cases where the conversion of a[i] to TF is
  // rounded up or the result of multiplying a[i] by flt_recip_b[i] is rounded
  // up.

// ScalarAbs(r0[i]) will also always be less than (LimitsMax<T>() / 2) if
  // b[i] != 0, even in the cases where the conversion of a[i] * flt_recip_b[i]
  // to T using IntDivConvFloatToInt is truncated or is wrapped around.

auto q0 =
      IntDivConvFloatToInt(d, Mul(IntDivConvIntToFloat(df, a), flt_recip_b));
  const auto r0 = BitCast(di, hwy::HWY_NAMESPACE::NegMulAdd(q0, b, a));

// If b[i] != 0 is true, r0[i] * flt_recip_b[i] is always within the range of
  // T, even in the cases where the conversion of r0[i] to TF is rounded up or
  // the multiplication of r0[i] by flt_recip_b[i] is rounded up.

auto q1 =
      IntDivConvFloatToInt(di, Mul(IntDivConvIntToFloat(df, r0), flt_recip_b));
  const auto r1 = hwy::HWY_NAMESPACE::NegMulAdd(q1, BitCast(di, b), r0);

auto r3 = r1;

#if !HWY_HAVE_FLOAT64
  // Need two additional reciprocal multiplication steps for I64/U64 vectors if
  // HWY_HAVE_FLOAT64 is 0
  if (sizeof(T) == 8) {
    const auto q2 = IntDivConvFloatToInt(
        di, Mul(IntDivConvIntToFloat(df, r1), flt_recip_b));
    const auto r2 = hwy::HWY_NAMESPACE::NegMulAdd(q2, BitCast(di, b), r1);

const auto q3 = IntDivConvFloatToInt(
        di, Mul(IntDivConvIntToFloat(df, r2), flt_recip_b));
    r3 = hwy::HWY_NAMESPACE::NegMulAdd(q3, BitCast(di, b), r2);

q0 = Add(q0, BitCast(d, q2));
    q1 = Add(q1, q3);
  }
#endif  // !HWY_HAVE_FLOAT64

auto r4 = r3;

// Need to negate r4[i] if a[i] < 0 is true
  if (IsSigned<TFromV<V>>()) {
    r4 = IfNegativeThenNegOrUndefIfZero(BitCast(di, a), r4);
  }

// r4[i] is now equal to (a[i] < 0) ? (-r3[i]) : r3[i]

auto abs_b = BitCast(du, b);
  if (IsSigned<TFromV<V>>()) {
    abs_b = BitCast(du, Abs(BitCast(di, abs_b)));
  }

// If (r4[i] < 0 || r4[i] >= abs_b[i]) is true, then set q4[i] to -1.
  // Otherwise, set r4[i] to 0.

// (r4[i] < 0 || r4[i] >= abs_b[i]) can be carried out using a single unsigned
  // comparison as static_cast<TU>(r4[i]) >= TU(LimitsMax<TI>() + 1) >= abs_b[i]
  // will be true if r4[i] < 0 is true.
  auto q4 = BitCast(di, VecFromMask(du, Ge(BitCast(du, r4), abs_b)));

// q4[i] is now equal to (r4[i] < 0 || r4[i] >= abs_b[i]) ? -1 : 0

// Need to negate q4[i] if r3[i] and b[i] do not have the same sign
  auto q4_negate_mask = r3;
  if (IsSigned<TFromV<V>>()) {
    q4_negate_mask = Xor(q4_negate_mask, BitCast(di, b));
  }
  q4 = IfNegativeThenElse(q4_negate_mask, Neg(q4), q4);

// q4[i] is now equal to (r4[i] < 0 || r4[i] >= abs_b[i]) ?
  //                       (((r3[i] ^ b[i]) < 0) ? 1 : -1)

// The final result is equal to q0[i] + q1[i] - q4[i]
  return Sub(Add(q0, BitCast(d, q1)), BitCast(d, q4));
}

template <size_t kOrigLaneSize, class V,
          HWY_IF_T_SIZE_ONE_OF_V(V, (1 << 1) | (1 << 2)),
          HWY_IF_V_SIZE_LE_V(
              V, HWY_MAX_BYTES /
                     ((!HWY_HAVE_FLOAT16 && sizeof(TFromV<V>) == 1) ? 4 : 2))>
HWY_INLINE V IntDiv(V a, V b) {
  using T = TFromV<V>;

// If HWY_HAVE_FLOAT16 is 0, need to promote I8 to I32 and U8 to U32
  using TW = MakeWide<
      If<(!HWY_HAVE_FLOAT16 && sizeof(TFromV<V>) == 1), MakeWide<T>, T>>;

const DFromV<decltype(a)> d;
  const Rebind<TW, decltype(d)> dw;

#if HWY_TARGET <= HWY_SSE2
  // On SSE2/SSSE3/SSE4/AVX2/AVX3, promote to and from MakeSigned<TW> to avoid
  // unnecessary overhead
  const RebindToSigned<decltype(dw)> dw_i;

// On SSE2/SSSE3/SSE4/AVX2/AVX3, demote to MakeSigned<T> if
  // kOrigLaneSize < sizeof(T) to avoid unnecessary overhead
  const If<(kOrigLaneSize < sizeof(T)), RebindToSigned<decltype(d)>,
           decltype(d)>
      d_demote_to;
#else
  // On other targets, promote to TW and demote to T
  const decltype(dw) dw_i;
  const decltype(d) d_demote_to;
#endif

return BitCast(
      d, DemoteTo(d_demote_to, IntDivUsingFloatDiv<kOrigLaneSize>(
                                   PromoteTo(dw_i, a), PromoteTo(dw_i, b))));
}

template <size_t kOrigLaneSize, class V,
          HWY_IF_T_SIZE_ONE_OF_V(V,
                                 (HWY_HAVE_FLOAT16 ? (1 << 1) : 0) | (1 << 2)),
          HWY_IF_V_SIZE_GT_V(V, HWY_MAX_BYTES / 2)>
HWY_INLINE V IntDiv(V a, V b) {
  const DFromV<decltype(a)> d;
  const RepartitionToWide<decltype(d)> dw;

#if HWY_TARGET <= HWY_SSE2
  // On SSE2/SSSE3/SSE4/AVX2/AVX3, promote to and from MakeSigned<TW> to avoid
  // unnecessary overhead
  const RebindToSigned<decltype(dw)> dw_i;

// On SSE2/SSSE3/SSE4/AVX2/AVX3, demote to MakeSigned<TFromV<V>> if
  // kOrigLaneSize < sizeof(TFromV<V>) to avoid unnecessary overhead
  const If<(kOrigLaneSize < sizeof(TFromV<V>)), RebindToSigned<decltype(d)>,
           decltype(d)>
      d_demote_to;
#else
  // On other targets, promote to MakeWide<TFromV<V>> and demote to TFromV<V>
  const decltype(dw) dw_i;
  const decltype(d) d_demote_to;
#endif

return BitCast(d, OrderedDemote2To(
                        d_demote_to,
                        IntDivUsingFloatDiv<kOrigLaneSize>(
                            PromoteLowerTo(dw_i, a), PromoteLowerTo(dw_i, b)),
                        IntDivUsingFloatDiv<kOrigLaneSize>(
                            PromoteUpperTo(dw_i, a), PromoteUpperTo(dw_i, b))));
}

#if !HWY_HAVE_FLOAT16
template <size_t kOrigLaneSize, class V, HWY_IF_UI8(TFromV<V>),
          HWY_IF_V_SIZE_V(V, HWY_MAX_BYTES / 2)>
HWY_INLINE V IntDiv(V a, V b) {
  const DFromV<decltype(a)> d;
  const Rebind<MakeWide<TFromV<V>>, decltype(d)> dw;

#if HWY_TARGET <= HWY_SSE2
  // On SSE2/SSSE3, demote from int16_t to TFromV<V> to avoid unnecessary
  // overhead
  const RebindToSigned<decltype(dw)> dw_i;
#else
  // On other targets, demote from MakeWide<TFromV<V>> to TFromV<V>
  const decltype(dw) dw_i;
#endif

return DemoteTo(d,
                  BitCast(dw_i, IntDiv<1>(PromoteTo(dw, a), PromoteTo(dw, b))));
}
template <size_t kOrigLaneSize, class V, HWY_IF_UI8(TFromV<V>),
          HWY_IF_V_SIZE_GT_V(V, HWY_MAX_BYTES / 2)>
HWY_INLINE V IntDiv(V a, V b) {
  const DFromV<decltype(a)> d;
  const RepartitionToWide<decltype(d)> dw;

return OrderedDemote2To(
      d, BitCast(dw_i, IntDiv<1>(PromoteLowerTo(dw, a), PromoteLowerTo(dw, b))),
      BitCast(dw_i, IntDiv<1>(PromoteUpperTo(dw, a), PromoteUpperTo(dw, b))));
}
#endif  // !HWY_HAVE_FLOAT16

template <size_t kOrigLaneSize, class V,
          HWY_IF_T_SIZE_ONE_OF_V(V,
                                 (HWY_HAVE_FLOAT64 ? 0 : (1 << 4)) | (1 << 8))>
HWY_INLINE V IntDiv(V a, V b) {
  return IntDivUsingFloatDiv<kOrigLaneSize>(a, b);
}

#if HWY_HAVE_FLOAT64
template <size_t kOrigLaneSize, class V, HWY_IF_UI32(TFromV<V>),
          HWY_IF_V_SIZE_LE_V(V, HWY_MAX_BYTES / 2)>
HWY_INLINE V IntDiv(V a, V b) {
  const DFromV<decltype(a)> d;
  const Rebind<double, decltype(d)> df64;

// It is okay to demote the F64 Div result to int32_t or uint32_t using
  // DemoteInRangeTo as static_cast<double>(a[i]) / static_cast<double>(b[i])
  // will always be within the range of TFromV<V> if b[i] != 0 and
  // sizeof(TFromV<V>) <= 4.

return DemoteInRangeTo(d, Div(PromoteTo(df64, a), PromoteTo(df64, b)));
}
template <size_t kOrigLaneSize, class V, HWY_IF_UI32(TFromV<V>),
          HWY_IF_V_SIZE_GT_V(V, HWY_MAX_BYTES / 2)>
HWY_INLINE V IntDiv(V a, V b) {
  const DFromV<decltype(a)> d;
  const Half<decltype(d)> dh;
  const Repartition<double, decltype(d)> df64;

const VFromD<decltype(df64)> div1 =
      Div(PromoteUpperTo(df64, a), PromoteUpperTo(df64, b));
  const VFromD<decltype(df64)> div0 =
      Div(PromoteLowerTo(df64, a), PromoteLowerTo(df64, b));
  return Combine(d, DemoteInRangeTo(dh, div1), DemoteInRangeTo(dh, div0));
}
#endif  // HWY_HAVE_FLOAT64

template <size_t kOrigLaneSize, class V, HWY_IF_NOT_FLOAT_NOR_SPECIAL_V(V),
          HWY_IF_T_SIZE_ONE_OF_V(V, ((HWY_TARGET <= HWY_SSE2 ||
                                      HWY_TARGET == HWY_WASM ||
                                      HWY_TARGET == HWY_WASM_EMU256 ||
                                      HWY_TARGET == HWY_LSX ||
                                      HWY_TARGET == HWY_LASX)
                                         ? 0
                                         : (1 << 1)) |
                                        (1 << 2) | (1 << 4) | (1 << 8))>
HWY_INLINE V IntMod(V a, V b) {
  return hwy::HWY_NAMESPACE::NegMulAdd(IntDiv<kOrigLaneSize>(a, b), b, a);
}

#if HWY_TARGET <= HWY_SSE2 || HWY_TARGET == HWY_WASM ||       \
    HWY_TARGET == HWY_WASM_EMU256 || HWY_TARGET == HWY_LSX || \
    HWY_TARGET == HWY_LASX
template <size_t kOrigLaneSize, class V, HWY_IF_UI8(TFromV<V>),
          HWY_IF_V_SIZE_LE_V(V, HWY_MAX_BYTES / 2)>
HWY_INLINE V IntMod(V a, V b) {
  const DFromV<decltype(a)> d;
  const Rebind<MakeWide<TFromV<V>>, decltype(d)> dw;
  return DemoteTo(d, IntMod<kOrigLaneSize>(PromoteTo(dw, a), PromoteTo(dw, b)));
}

template <size_t kOrigLaneSize, class V, HWY_IF_UI8(TFromV<V>),
          HWY_IF_V_SIZE_GT_V(V, HWY_MAX_BYTES / 2)>
HWY_INLINE V IntMod(V a, V b) {
  const DFromV<decltype(a)> d;
  const RepartitionToWide<decltype(d)> dw;
  return OrderedDemote2To(
      d, IntMod<kOrigLaneSize>(PromoteLowerTo(dw, a), PromoteLowerTo(dw, b)),
      IntMod<kOrigLaneSize>(PromoteUpperTo(dw, a), PromoteUpperTo(dw, b)));
}
#endif  // HWY_TARGET <= HWY_SSE2 || HWY_TARGET == HWY_WASM || HWY_TARGET ==
        // HWY_WASM_EMU256 || HWY_TARGET == HWY_LSX || HWY_TARGET == HWY_LASX

}  // namespace detail

#if HWY_TARGET == HWY_SCALAR

template <class T, HWY_IF_NOT_FLOAT_NOR_SPECIAL(T)>
HWY_API Vec1<T> operator/(Vec1<T> a, Vec1<T> b) {
  return detail::IntDiv<sizeof(T)>(a, b);
}
template <class T, HWY_IF_NOT_FLOAT_NOR_SPECIAL(T)>
HWY_API Vec1<T> operator%(Vec1<T> a, Vec1<T> b) {
  return detail::IntMod<sizeof(T)>(a, b);
}

#else  // HWY_TARGET != HWY_SCALAR

template <class T, size_t N, HWY_IF_NOT_FLOAT_NOR_SPECIAL(T)>
HWY_API Vec128<T, N> operator/(Vec128<T, N> a, Vec128<T, N> b) {
  return detail::IntDiv<sizeof(T)>(a, b);
}

template <class T, size_t N, HWY_IF_NOT_FLOAT_NOR_SPECIAL(T)>
HWY_API Vec128<T, N> operator%(Vec128<T, N> a, Vec128<T, N> b) {
  return detail::IntMod<sizeof(T)>(a, b);
}

#if HWY_CAP_GE256
template <class T, HWY_IF_NOT_FLOAT_NOR_SPECIAL(T)>
HWY_API Vec256<T> operator/(Vec256<T> a, Vec256<T> b) {
  return detail::IntDiv<sizeof(T)>(a, b);
}
template <class T, HWY_IF_NOT_FLOAT_NOR_SPECIAL(T)>
HWY_API Vec256<T> operator%(Vec256<T> a, Vec256<T> b) {
  return detail::IntMod<sizeof(T)>(a, b);
}
#endif

#if HWY_CAP_GE512
template <class T, HWY_IF_NOT_FLOAT_NOR_SPECIAL(T)>
HWY_API Vec512<T> operator/(Vec512<T> a, Vec512<T> b) {
  return detail::IntDiv<sizeof(T)>(a, b);
}
template <class T, HWY_IF_NOT_FLOAT_NOR_SPECIAL(T)>
HWY_API Vec512<T> operator%(Vec512<T> a, Vec512<T> b) {
  return detail::IntMod<sizeof(T)>(a, b);
}
#endif

#endif  // HWY_TARGET == HWY_SCALAR

#endif  // HWY_NATIVE_INT_DIV

// ------------------------------ AverageRound

#if (defined(HWY_NATIVE_AVERAGE_ROUND_UI32) == defined(HWY_TARGET_TOGGLE))
#ifdef HWY_NATIVE_AVERAGE_ROUND_UI32
#undef HWY_NATIVE_AVERAGE_ROUND_UI32
#else
#define HWY_NATIVE_AVERAGE_ROUND_UI32
#endif

template <class V, HWY_IF_UI32(TFromV<V>)>
HWY_API V AverageRound(V a, V b) {
  return Sub(Or(a, b), ShiftRight<1>(Xor(a, b)));
}

#endif  // HWY_NATIVE_AVERAGE_ROUND_UI64

#if (defined(HWY_NATIVE_AVERAGE_ROUND_UI64) == defined(HWY_TARGET_TOGGLE))
#ifdef HWY_NATIVE_AVERAGE_ROUND_UI64
#undef HWY_NATIVE_AVERAGE_ROUND_UI64
#else
#define HWY_NATIVE_AVERAGE_ROUND_UI64
#endif

#if HWY_HAVE_INTEGER64
template <class V, HWY_IF_UI64(TFromV<V>)>
HWY_API V AverageRound(V a, V b) {
  return Sub(Or(a, b), ShiftRight<1>(Xor(a, b)));
}
#endif

#endif  // HWY_NATIVE_AVERAGE_ROUND_UI64

// ------------------------------ RoundingShiftRight (AverageRound)

#if (defined(HWY_NATIVE_ROUNDING_SHR) == defined(HWY_TARGET_TOGGLE))
#ifdef HWY_NATIVE_ROUNDING_SHR
#undef HWY_NATIVE_ROUNDING_SHR
#else
#define HWY_NATIVE_ROUNDING_SHR
#endif

template <int kShiftAmt, class V, HWY_IF_NOT_FLOAT_NOR_SPECIAL_V(V)>
HWY_API V RoundingShiftRight(V v) {
  const DFromV<V> d;
  using T = TFromD<decltype(d)>;

static_assert(
      0 <= kShiftAmt && kShiftAmt <= static_cast<int>(sizeof(T) * 8 - 1),
      "kShiftAmt is out of range");

constexpr int kScaleDownShrAmt = HWY_MAX(kShiftAmt - 1, 0);

auto scaled_down_v = v;
  HWY_IF_CONSTEXPR(kScaleDownShrAmt > 0) {
    scaled_down_v = ShiftRight<kScaleDownShrAmt>(v);
  }

HWY_IF_CONSTEXPR(kShiftAmt == 0) { return scaled_down_v; }

return AverageRound(scaled_down_v, Zero(d));
}

template <class V, HWY_IF_NOT_FLOAT_NOR_SPECIAL_V(V)>
HWY_API V RoundingShiftRightSame(V v, int shift_amt) {
  const DFromV<V> d;
  using T = TFromD<decltype(d)>;

const int shift_amt_is_zero_mask = -static_cast<int>(shift_amt == 0);

const auto scaled_down_v = ShiftRightSame(
      v, static_cast<int>(static_cast<unsigned>(shift_amt) +
                          static_cast<unsigned>(~shift_amt_is_zero_mask)));

return AverageRound(
      scaled_down_v,
      And(scaled_down_v, Set(d, static_cast<T>(shift_amt_is_zero_mask))));
}

template <class V, HWY_IF_NOT_FLOAT_NOR_SPECIAL_V(V)>
HWY_API V RoundingShr(V v, V amt) {
  const DFromV<V> d;
  const RebindToUnsigned<decltype(d)> du;
  using T = TFromD<decltype(d)>;
  using TU = MakeUnsigned<T>;

const auto unsigned_amt = BitCast(du, amt);
  const auto scale_down_shr_amt =
      BitCast(d, SaturatedSub(unsigned_amt, Set(du, TU{1})));

const auto scaled_down_v = Shr(v, scale_down_shr_amt);
  return AverageRound(scaled_down_v,
                      IfThenElseZero(Eq(amt, Zero(d)), scaled_down_v));
}

#endif  // HWY_NATIVE_ROUNDING_SHR

// ------------------------------ MulEvenAdd (PromoteEvenTo)

// SVE with bf16 and NEON with bf16 override this.
#if (defined(HWY_NATIVE_MUL_EVEN_BF16) == defined(HWY_TARGET_TOGGLE))
#ifdef HWY_NATIVE_MUL_EVEN_BF16
#undef HWY_NATIVE_MUL_EVEN_BF16
#else
#define HWY_NATIVE_MUL_EVEN_BF16
#endif

template <class DF, HWY_IF_F32_D(DF),
          class VBF = VFromD<Repartition<bfloat16_t, DF>>>
HWY_API VFromD<DF> MulEvenAdd(DF df, VBF a, VBF b, VFromD<DF> c) {
  return MulAdd(PromoteEvenTo(df, a), PromoteEvenTo(df, b), c);
}

template <class DF, HWY_IF_F32_D(DF),
          class VBF = VFromD<Repartition<bfloat16_t, DF>>>
HWY_API VFromD<DF> MulOddAdd(DF df, VBF a, VBF b, VFromD<DF> c) {
  return MulAdd(PromoteOddTo(df, a), PromoteOddTo(df, b), c);
}

#endif  // HWY_NATIVE_MUL_EVEN_BF16

// ------------------------------ ReorderWidenMulAccumulate (MulEvenAdd)

// AVX3_SPR/ZEN4, and NEON with bf16 but not(!) SVE override this.
#if (defined(HWY_NATIVE_REORDER_WIDEN_MUL_ACC_BF16) == \
     defined(HWY_TARGET_TOGGLE))
#ifdef HWY_NATIVE_REORDER_WIDEN_MUL_ACC_BF16
#undef HWY_NATIVE_REORDER_WIDEN_MUL_ACC_BF16
#else
#define HWY_NATIVE_REORDER_WIDEN_MUL_ACC_BF16
#endif

template <class DF, HWY_IF_F32_D(DF),
          class VBF = VFromD<Repartition<bfloat16_t, DF>>>
HWY_API VFromD<DF> ReorderWidenMulAccumulate(DF df, VBF a, VBF b,
                                             VFromD<DF> sum0,
                                             VFromD<DF>& sum1) {
  // Lane order within sum0/1 is undefined, hence we can avoid the
  // longer-latency lane-crossing PromoteTo by using PromoteEvenTo.
  sum1 = MulOddAdd(df, a, b, sum1);
  return MulEvenAdd(df, a, b, sum0);
}

#endif  // HWY_NATIVE_REORDER_WIDEN_MUL_ACC_BF16

// ------------------------------ WidenMulAccumulate

#if (defined(HWY_NATIVE_WIDEN_MUL_ACCUMULATE) == defined(HWY_TARGET_TOGGLE))
#ifdef HWY_NATIVE_WIDEN_MUL_ACCUMULATE
#undef HWY_NATIVE_WIDEN_MUL_ACCUMULATE
#else
#define HWY_NATIVE_WIDEN_MUL_ACCUMULATE
#endif

template<class D, HWY_IF_INTEGER(TFromD<D>),
         class DN = RepartitionToNarrow<D>>
HWY_API VFromD<D> WidenMulAccumulate(D d, VFromD<DN> mul, VFromD<DN> x,
                                     VFromD<D> low, VFromD<D>& high) {
  high = MulAdd(PromoteUpperTo(d, mul), PromoteUpperTo(d, x), high);
  return MulAdd(PromoteLowerTo(d, mul), PromoteLowerTo(d, x), low);
}

#endif  // HWY_NATIVE_WIDEN_MUL_ACCUMULATE

#if 0
#if (defined(HWY_NATIVE_WIDEN_MUL_ACCUMULATE_F16) == defined(HWY_TARGET_TOGGLE))

#ifdef HWY_NATIVE_WIDEN_MUL_ACCUMULATE_F16
#undef HWY_NATIVE_WIDEN_MUL_ACCUMULATE_F16
#else
#define HWY_NATIVE_WIDEN_MUL_ACCUMULATE_F16
#endif

#if HWY_HAVE_FLOAT16

template<class D, HWY_IF_F32_D(D), class DN = RepartitionToNarrow<D>>
HWY_API VFromD<D> WidenMulAccumulate(D d, VFromD<DN> mul, VFromD<DN> x,
                                     VFromD<D> low, VFromD<D>& high) {
  high = MulAdd(PromoteUpperTo(d, mul), PromoteUpperTo(d, x), high);
  return MulAdd(PromoteLowerTo(d, mul), PromoteLowerTo(d, x), low);
}

#endif  // HWY_HAVE_FLOAT16

#endif  // HWY_NATIVE_WIDEN_MUL_ACCUMULATE_F16
#endif  // #if 0

// ------------------------------ SatWidenMulPairwiseAdd

#if (defined(HWY_NATIVE_U8_I8_SATWIDENMULPAIRWISEADD) == \
     defined(HWY_TARGET_TOGGLE))

#ifdef HWY_NATIVE_U8_I8_SATWIDENMULPAIRWISEADD
#undef HWY_NATIVE_U8_I8_SATWIDENMULPAIRWISEADD
#else
#define HWY_NATIVE_U8_I8_SATWIDENMULPAIRWISEADD
#endif

template <class DI16, class VU8, class VI8,
          class VU8_2 = Vec<Repartition<uint8_t, DI16>>, HWY_IF_I16_D(DI16),
          HWY_IF_U8_D(DFromV<VU8>), HWY_IF_I8_D(DFromV<VI8>),
          HWY_IF_LANES_D(DFromV<VU8>, HWY_MAX_LANES_V(VI8)),
          HWY_IF_LANES_D(DFromV<VU8>, HWY_MAX_LANES_V(VU8_2))>
HWY_API Vec<DI16> SatWidenMulPairwiseAdd(DI16 di16, VU8 a, VI8 b) {
  const RebindToUnsigned<decltype(di16)> du16;

const auto a0 = BitCast(di16, PromoteEvenTo(du16, a));
  const auto b0 = PromoteEvenTo(di16, b);

const auto a1 = BitCast(di16, PromoteOddTo(du16, a));
  const auto b1 = PromoteOddTo(di16, b);

return SaturatedAdd(Mul(a0, b0), Mul(a1, b1));
}

#endif

// ------------------------------ SatWidenMulPairwiseAccumulate

#if (defined(HWY_NATIVE_I16_I16_SATWIDENMULPAIRWISEACCUM) == \
     defined(HWY_TARGET_TOGGLE))

#ifdef HWY_NATIVE_I16_I16_SATWIDENMULPAIRWISEACCUM
#undef HWY_NATIVE_I16_I16_SATWIDENMULPAIRWISEACCUM
#else
#define HWY_NATIVE_I16_I16_SATWIDENMULPAIRWISEACCUM
#endif

template <class DI32, HWY_IF_I32_D(DI32)>
HWY_API VFromD<DI32> SatWidenMulPairwiseAccumulate(
    DI32 di32, VFromD<Repartition<int16_t, DI32>> a,
    VFromD<Repartition<int16_t, DI32>> b, VFromD<DI32> sum) {
  // WidenMulPairwiseAdd(di32, a, b) is okay here as
  // a[0]*b[0]+a[1]*b[1] is between -2147418112 and 2147483648 and as
  // a[0]*b[0]+a[1]*b[1] can only overflow an int32_t if
  // a[0], b[0], a[1], and b[1] are all equal to -32768.

const auto product = WidenMulPairwiseAdd(di32, a, b);

const auto mul_overflow =
      VecFromMask(di32, Eq(product, Set(di32, LimitsMin<int32_t>())));

return SaturatedAdd(Sub(sum, And(BroadcastSignBit(sum), mul_overflow)),
                      Add(product, mul_overflow));
}

#endif  // HWY_NATIVE_I16_I16_SATWIDENMULPAIRWISEACCUM

// ------------------------------ SatWidenMulAccumFixedPoint

#if (defined(HWY_NATIVE_I16_SATWIDENMULACCUMFIXEDPOINT) == \
     defined(HWY_TARGET_TOGGLE))

#ifdef HWY_NATIVE_I16_SATWIDENMULACCUMFIXEDPOINT
#undef HWY_NATIVE_I16_SATWIDENMULACCUMFIXEDPOINT
#else
#define HWY_NATIVE_I16_SATWIDENMULACCUMFIXEDPOINT
#endif

template <class DI32, HWY_IF_I32_D(DI32)>
HWY_API VFromD<DI32> SatWidenMulAccumFixedPoint(DI32 di32,
                                                VFromD<Rebind<int16_t, DI32>> a,
                                                VFromD<Rebind<int16_t, DI32>> b,
                                                VFromD<DI32> sum) {
  const Repartition<int16_t, DI32> dt_i16;

const auto vt_a = ResizeBitCast(dt_i16, a);
  const auto vt_b = ResizeBitCast(dt_i16, b);

const auto dup_a = InterleaveWholeLower(dt_i16, vt_a, vt_a);
  const auto dup_b = InterleaveWholeLower(dt_i16, vt_b, vt_b);

return SatWidenMulPairwiseAccumulate(di32, dup_a, dup_b, sum);
}

#endif  // HWY_NATIVE_I16_SATWIDENMULACCUMFIXEDPOINT

// ------------------------------ MaskedSqrt

#if (defined(HWY_NATIVE_MASKED_SQRT) == defined(HWY_TARGET_TOGGLE))

#ifdef HWY_NATIVE_MASKED_SQRT
#undef HWY_NATIVE_MASKED_SQRT
#else
#define HWY_NATIVE_MASKED_SQRT
#endif
template <class V, HWY_IF_FLOAT_V(V), class M>
HWY_API V MaskedSqrt(M m, V v) {
  return IfThenElseZero(m, Sqrt(v));
}

template <class V, HWY_IF_FLOAT_V(V), class M>
HWY_API V MaskedSqrtOr(V no, M m, V v) {
  return IfThenElse(m, Sqrt(v), no);
}
#endif

// ------------------------------ SumOfMulQuadAccumulate

#if (defined(HWY_NATIVE_I8_I8_SUMOFMULQUADACCUMULATE) == \
     defined(HWY_TARGET_TOGGLE))

#ifdef HWY_NATIVE_I8_I8_SUMOFMULQUADACCUMULATE
#undef HWY_NATIVE_I8_I8_SUMOFMULQUADACCUMULATE
#else
#define HWY_NATIVE_I8_I8_SUMOFMULQUADACCUMULATE
#endif

template <class DI32, HWY_IF_I32_D(DI32)>
HWY_API VFromD<DI32> SumOfMulQuadAccumulate(DI32 di32,
                                            VFromD<Repartition<int8_t, DI32>> a,
                                            VFromD<Repartition<int8_t, DI32>> b,
                                            VFromD<DI32> sum) {
  const Repartition<int16_t, decltype(di32)> di16;

const auto a0 = PromoteEvenTo(di16, a);
  const auto b0 = PromoteEvenTo(di16, b);

const auto a1 = PromoteOddTo(di16, a);
  const auto b1 = PromoteOddTo(di16, b);

return Add(sum, Add(WidenMulPairwiseAdd(di32, a0, b0),
                      WidenMulPairwiseAdd(di32, a1, b1)));
}

#endif

#if (defined(HWY_NATIVE_U8_U8_SUMOFMULQUADACCUMULATE) == \
     defined(HWY_TARGET_TOGGLE))

#ifdef HWY_NATIVE_U8_U8_SUMOFMULQUADACCUMULATE
#undef HWY_NATIVE_U8_U8_SUMOFMULQUADACCUMULATE
#else
#define HWY_NATIVE_U8_U8_SUMOFMULQUADACCUMULATE
#endif

template <class DU32, HWY_IF_U32_D(DU32)>
HWY_API VFromD<DU32> SumOfMulQuadAccumulate(
    DU32 du32, VFromD<Repartition<uint8_t, DU32>> a,
    VFromD<Repartition<uint8_t, DU32>> b, VFromD<DU32> sum) {
  const Repartition<uint16_t, decltype(du32)> du16;
  const RebindToSigned<decltype(du16)> di16;
  const RebindToSigned<decltype(du32)> di32;

const auto lo8_mask = Set(di16, int16_t{0x00FF});
  const auto a0 = And(BitCast(di16, a), lo8_mask);
  const auto b0 = And(BitCast(di16, b), lo8_mask);

const auto a1 = BitCast(di16, ShiftRight<8>(BitCast(du16, a)));
  const auto b1 = BitCast(di16, ShiftRight<8>(BitCast(du16, b)));

return Add(sum, Add(BitCast(du32, WidenMulPairwiseAdd(di32, a0, b0)),
                      BitCast(du32, WidenMulPairwiseAdd(di32, a1, b1))));
}

#endif

#if (defined(HWY_NATIVE_U8_I8_SUMOFMULQUADACCUMULATE) == \
     defined(HWY_TARGET_TOGGLE))

#ifdef HWY_NATIVE_U8_I8_SUMOFMULQUADACCUMULATE
#undef HWY_NATIVE_U8_I8_SUMOFMULQUADACCUMULATE
#else
#define HWY_NATIVE_U8_I8_SUMOFMULQUADACCUMULATE
#endif

template <class DI32, HWY_IF_I32_D(DI32)>
HWY_API VFromD<DI32> SumOfMulQuadAccumulate(
    DI32 di32, VFromD<Repartition<uint8_t, DI32>> a_u,
    VFromD<Repartition<int8_t, DI32>> b_i, VFromD<DI32> sum) {
  const Repartition<int16_t, decltype(di32)> di16;
  const RebindToUnsigned<decltype(di16)> du16;

const auto a0 = And(BitCast(di16, a_u), Set(di16, int16_t{0x00FF}));
  const auto b0 = ShiftRight<8>(ShiftLeft<8>(BitCast(di16, b_i)));

const auto a1 = BitCast(di16, ShiftRight<8>(BitCast(du16, a_u)));
  const auto b1 = ShiftRight<8>(BitCast(di16, b_i));

// NOTE: SatWidenMulPairwiseAdd(di16, a_u, b_i) cannot be used in
  // SumOfMulQuadAccumulate as it is possible for
  // a_u[0]*b_i[0]+a_u[1]*b_i[1] to overflow an int16_t if a_u[0], b_i[0],
  // a_u[1], and b_i[1] are all non-zero and b_i[0] and b_i[1] have the same
  // sign.

return Add(sum, Add(WidenMulPairwiseAdd(di32, a0, b0),
                      WidenMulPairwiseAdd(di32, a1, b1)));
}

#endif

#if (defined(HWY_NATIVE_I16_I16_SUMOFMULQUADACCUMULATE) == \
     defined(HWY_TARGET_TOGGLE))

#ifdef HWY_NATIVE_I16_I16_SUMOFMULQUADACCUMULATE
#undef HWY_NATIVE_I16_I16_SUMOFMULQUADACCUMULATE
#else
#define HWY_NATIVE_I16_I16_SUMOFMULQUADACCUMULATE
#endif

#if HWY_HAVE_INTEGER64
template <class DI64, HWY_IF_I64_D(DI64)>
HWY_API VFromD<DI64> SumOfMulQuadAccumulate(
    DI64 di64, VFromD<Repartition<int16_t, DI64>> a,
    VFromD<Repartition<int16_t, DI64>> b, VFromD<DI64> sum) {
  const Repartition<int32_t, decltype(di64)> di32;

// WidenMulPairwiseAdd(di32, a, b) is okay here as
  // a[0]*b[0]+a[1]*b[1] is between -2147418112 and 2147483648 and as
  // a[0]*b[0]+a[1]*b[1] can only overflow an int32_t if
  // a[0], b[0], a[1], and b[1] are all equal to -32768.

const auto i32_pairwise_sum = WidenMulPairwiseAdd(di32, a, b);
  const auto i32_pairwise_sum_overflow =
      VecFromMask(di32, Eq(i32_pairwise_sum, Set(di32, LimitsMin<int32_t>())));

// The upper 32 bits of sum0 and sum1 need to be zeroed out in the case of
  // overflow.
  const auto hi32_mask = Set(di64, static_cast<int64_t>(~int64_t{0xFFFFFFFF}));
  const auto p0_zero_out_mask =
      ShiftLeft<32>(BitCast(di64, i32_pairwise_sum_overflow));
  const auto p1_zero_out_mask =
      And(BitCast(di64, i32_pairwise_sum_overflow), hi32_mask);

const auto p0 =
      AndNot(p0_zero_out_mask,
             ShiftRight<32>(ShiftLeft<32>(BitCast(di64, i32_pairwise_sum))));
  const auto p1 =
      AndNot(p1_zero_out_mask, ShiftRight<32>(BitCast(di64, i32_pairwise_sum)));

return Add(sum, Add(p0, p1));
}
#endif  // HWY_HAVE_INTEGER64
#endif  // HWY_NATIVE_I16_I16_SUMOFMULQUADACCUMULATE

#if (defined(HWY_NATIVE_U16_U16_SUMOFMULQUADACCUMULATE) == \
     defined(HWY_TARGET_TOGGLE))

#ifdef HWY_NATIVE_U16_U16_SUMOFMULQUADACCUMULATE
#undef HWY_NATIVE_U16_U16_SUMOFMULQUADACCUMULATE
#else
#define HWY_NATIVE_U16_U16_SUMOFMULQUADACCUMULATE
#endif

#if HWY_HAVE_INTEGER64
template <class DU64, HWY_IF_U64_D(DU64)>
HWY_API VFromD<DU64> SumOfMulQuadAccumulate(
    DU64 du64, VFromD<Repartition<uint16_t, DU64>> a,
    VFromD<Repartition<uint16_t, DU64>> b, VFromD<DU64> sum) {
  const auto u32_even_prod = MulEven(a, b);
  const auto u32_odd_prod = MulOdd(a, b);

const auto p0 = Add(PromoteEvenTo(du64, u32_even_prod),
                      PromoteEvenTo(du64, u32_odd_prod));
  const auto p1 =
      Add(PromoteOddTo(du64, u32_even_prod), PromoteOddTo(du64, u32_odd_prod));

return Add(sum, Add(p0, p1));
}
#endif  // HWY_HAVE_INTEGER64
#endif  // HWY_NATIVE_U16_U16_SUMOFMULQUADACCUMULATE

// ------------------------------ F64 ApproximateReciprocal

#if (defined(HWY_NATIVE_F64_APPROX_RECIP) == defined(HWY_TARGET_TOGGLE))
#ifdef HWY_NATIVE_F64_APPROX_RECIP
#undef HWY_NATIVE_F64_APPROX_RECIP
#else
#define HWY_NATIVE_F64_APPROX_RECIP
#endif

#if HWY_HAVE_FLOAT64
template <class V, HWY_IF_F64_D(DFromV<V>)>
HWY_API V ApproximateReciprocal(V v) {
  const DFromV<decltype(v)> d;
  return Div(Set(d, 1.0), v);
}
#endif  // HWY_HAVE_FLOAT64

#endif  // HWY_NATIVE_F64_APPROX_RECIP

// ------------------------------ MaskedApproximateReciprocal
template <class V, HWY_IF_FLOAT_V(V), class M>
HWY_API V MaskedApproximateReciprocal(M m, V v) {
  return IfThenElseZero(m, ApproximateReciprocal(v));
}

// ------------------------------ F64 ApproximateReciprocalSqrt

#if (defined(HWY_NATIVE_F64_APPROX_RSQRT) == defined(HWY_TARGET_TOGGLE))
#ifdef HWY_NATIVE_F64_APPROX_RSQRT
#undef HWY_NATIVE_F64_APPROX_RSQRT
#else
#define HWY_NATIVE_F64_APPROX_RSQRT
#endif

#if HWY_HAVE_FLOAT64
template <class V, HWY_IF_F64_D(DFromV<V>)>
HWY_API V ApproximateReciprocalSqrt(V v) {
  const DFromV<decltype(v)> d;
  const RebindToUnsigned<decltype(d)> du;
  const auto half = Mul(v, Set(d, 0.5));
  // Initial guess based on log2(f)
  const auto guess = BitCast(d, Sub(Set(du, uint64_t{0x5FE6EB50C7B537A9u}),
                                    ShiftRight<1>(BitCast(du, v))));
  // One Newton-Raphson iteration
  return Mul(guess, NegMulAdd(Mul(half, guess), guess, Set(d, 1.5)));
}
#endif  // HWY_HAVE_FLOAT64

#endif  // HWY_NATIVE_F64_APPROX_RSQRT

// ------------------------------ MaskedApproximateReciprocalSqrt
template <class V, HWY_IF_FLOAT_V(V), class M>
HWY_API V MaskedApproximateReciprocalSqrt(M m, V v) {
  return IfThenElseZero(m, ApproximateReciprocalSqrt(v));
}

// ------------------------------ Compress*

#if (defined(HWY_NATIVE_COMPRESS8) == defined(HWY_TARGET_TOGGLE))
#ifdef HWY_NATIVE_COMPRESS8
#undef HWY_NATIVE_COMPRESS8
#else
#define HWY_NATIVE_COMPRESS8
#endif

template <class V, class D, typename T, HWY_IF_T_SIZE(T, 1)>
HWY_API size_t CompressBitsStore(V v, const uint8_t* HWY_RESTRICT bits, D d,
                                 T* unaligned) {
  HWY_ALIGN T lanes[MaxLanes(d)];
  Store(v, d, lanes);

const Simd<T, HWY_MIN(MaxLanes(d), 8), 0> d8;
  T* HWY_RESTRICT pos = unaligned;

HWY_ALIGN constexpr T table[2048] = {
      0, 1, 2, 3, 4, 5, 6, 7, /**/ 0, 1, 2, 3, 4, 5, 6, 7,  //
      1, 0, 2, 3, 4, 5, 6, 7, /**/ 0, 1, 2, 3, 4, 5, 6, 7,  //
      2, 0, 1, 3, 4, 5, 6, 7, /**/ 0, 2, 1, 3, 4, 5, 6, 7,  //
      1, 2, 0, 3, 4, 5, 6, 7, /**/ 0, 1, 2, 3, 4, 5, 6, 7,  //
      3, 0, 1, 2, 4, 5, 6, 7, /**/ 0, 3, 1, 2, 4, 5, 6, 7,  //
      1, 3, 0, 2, 4, 5, 6, 7, /**/ 0, 1, 3, 2, 4, 5, 6, 7,  //
      2, 3, 0, 1, 4, 5, 6, 7, /**/ 0, 2, 3, 1, 4, 5, 6, 7,  //
      1, 2, 3, 0, 4, 5, 6, 7, /**/ 0, 1, 2, 3, 4, 5, 6, 7,  //
      4, 0, 1, 2, 3, 5, 6, 7, /**/ 0, 4, 1, 2, 3, 5, 6, 7,  //
      1, 4, 0, 2, 3, 5, 6, 7, /**/ 0, 1, 4, 2, 3, 5, 6, 7,  //
      2, 4, 0, 1, 3, 5, 6, 7, /**/ 0, 2, 4, 1, 3, 5, 6, 7,  //
      1, 2, 4, 0, 3, 5, 6, 7, /**/ 0, 1, 2, 4, 3, 5, 6, 7,  //
      3, 4, 0, 1, 2, 5, 6, 7, /**/ 0, 3, 4, 1, 2, 5, 6, 7,  //
      1, 3, 4, 0, 2, 5, 6, 7, /**/ 0, 1, 3, 4, 2, 5, 6, 7,  //
      2, 3, 4, 0, 1, 5, 6, 7, /**/ 0, 2, 3, 4, 1, 5, 6, 7,  //
      1, 2, 3, 4, 0, 5, 6, 7, /**/ 0, 1, 2, 3, 4, 5, 6, 7,  //
      5, 0, 1, 2, 3, 4, 6, 7, /**/ 0, 5, 1, 2, 3, 4, 6, 7,  //
      1, 5, 0, 2, 3, 4, 6, 7, /**/ 0, 1, 5, 2, 3, 4, 6, 7,  //
      2, 5, 0, 1, 3, 4, 6, 7, /**/ 0, 2, 5, 1, 3, 4, 6, 7,  //
      1, 2, 5, 0, 3, 4, 6, 7, /**/ 0, 1, 2, 5, 3, 4, 6, 7,  //
      3, 5, 0, 1, 2, 4, 6, 7, /**/ 0, 3, 5, 1, 2, 4, 6, 7,  //
      1, 3, 5, 0, 2, 4, 6, 7, /**/ 0, 1, 3, 5, 2, 4, 6, 7,  //
      2, 3, 5, 0, 1, 4, 6, 7, /**/ 0, 2, 3, 5, 1, 4, 6, 7,  //
      1, 2, 3, 5, 0, 4, 6, 7, /**/ 0, 1, 2, 3, 5, 4, 6, 7,  //
      4, 5, 0, 1, 2, 3, 6, 7, /**/ 0, 4, 5, 1, 2, 3, 6, 7,  //
      1, 4, 5, 0, 2, 3, 6, 7, /**/ 0, 1, 4, 5, 2, 3, 6, 7,  //
      2, 4, 5, 0, 1, 3, 6, 7, /**/ 0, 2, 4, 5, 1, 3, 6, 7,  //
      1, 2, 4, 5, 0, 3, 6, 7, /**/ 0, 1, 2, 4, 5, 3, 6, 7,  //
      3, 4, 5, 0, 1, 2, 6, 7, /**/ 0, 3, 4, 5, 1, 2, 6, 7,  //
      1, 3, 4, 5, 0, 2, 6, 7, /**/ 0, 1, 3, 4, 5, 2, 6, 7,  //
      2, 3, 4, 5, 0, 1, 6, 7, /**/ 0, 2, 3, 4, 5, 1, 6, 7,  //
      1, 2, 3, 4, 5, 0, 6, 7, /**/ 0, 1, 2, 3, 4, 5, 6, 7,  //
      6, 0, 1, 2, 3, 4, 5, 7, /**/ 0, 6, 1, 2, 3, 4, 5, 7,  //
      1, 6, 0, 2, 3, 4, 5, 7, /**/ 0, 1, 6, 2, 3, 4, 5, 7,  //
      2, 6, 0, 1, 3, 4, 5, 7, /**/ 0, 2, 6, 1, 3, 4, 5, 7,  //
      1, 2, 6, 0, 3, 4, 5, 7, /**/ 0, 1, 2, 6, 3, 4, 5, 7,  //
      3, 6, 0, 1, 2, 4, 5, 7, /**/ 0, 3, 6, 1, 2, 4, 5, 7,  //
      1, 3, 6, 0, 2, 4, 5, 7, /**/ 0, 1, 3, 6, 2, 4, 5, 7,  //
      2, 3, 6, 0, 1, 4, 5, 7, /**/ 0, 2, 3, 6, 1, 4, 5, 7,  //
      1, 2, 3, 6, 0, 4, 5, 7, /**/ 0, 1, 2, 3, 6, 4, 5, 7,  //
      4, 6, 0, 1, 2, 3, 5, 7, /**/ 0, 4, 6, 1, 2, 3, 5, 7,  //
      1, 4, 6, 0, 2, 3, 5, 7, /**/ 0, 1, 4, 6, 2, 3, 5, 7,  //
      2, 4, 6, 0, 1, 3, 5, 7, /**/ 0, 2, 4, 6, 1, 3, 5, 7,  //
      1, 2, 4, 6, 0, 3, 5, 7, /**/ 0, 1, 2, 4, 6, 3, 5, 7,  //
      3, 4, 6, 0, 1, 2, 5, 7, /**/ 0, 3, 4, 6, 1, 2, 5, 7,  //
      1, 3, 4, 6, 0, 2, 5, 7, /**/ 0, 1, 3, 4, 6, 2, 5, 7,  //
      2, 3, 4, 6, 0, 1, 5, 7, /**/ 0, 2, 3, 4, 6, 1, 5, 7,  //
      1, 2, 3, 4, 6, 0, 5, 7, /**/ 0, 1, 2, 3, 4, 6, 5, 7,  //
      5, 6, 0, 1, 2, 3, 4, 7, /**/ 0, 5, 6, 1, 2, 3, 4, 7,  //
      1, 5, 6, 0, 2, 3, 4, 7, /**/ 0, 1, 5, 6, 2, 3, 4, 7,  //
      2, 5, 6, 0, 1, 3, 4, 7, /**/ 0, 2, 5, 6, 1, 3, 4, 7,  //
      1, 2, 5, 6, 0, 3, 4, 7, /**/ 0, 1, 2, 5, 6, 3, 4, 7,  //
      3, 5, 6, 0, 1, 2, 4, 7, /**/ 0, 3, 5, 6, 1, 2, 4, 7,  //
      1, 3, 5, 6, 0, 2, 4, 7, /**/ 0, 1, 3, 5, 6, 2, 4, 7,  //
      2, 3, 5, 6, 0, 1, 4, 7, /**/ 0, 2, 3, 5, 6, 1, 4, 7,  //
      1, 2, 3, 5, 6, 0, 4, 7, /**/ 0, 1, 2, 3, 5, 6, 4, 7,  //
      4, 5, 6, 0, 1, 2, 3, 7, /**/ 0, 4, 5, 6, 1, 2, 3, 7,  //
      1, 4, 5, 6, 0, 2, 3, 7, /**/ 0, 1, 4, 5, 6, 2, 3, 7,  //
      2, 4, 5, 6, 0, 1, 3, 7, /**/ 0, 2, 4, 5, 6, 1, 3, 7,  //
      1, 2, 4, 5, 6, 0, 3, 7, /**/ 0, 1, 2, 4, 5, 6, 3, 7,  //
      3, 4, 5, 6, 0, 1, 2, 7, /**/ 0, 3, 4, 5, 6, 1, 2, 7,  //
      1, 3, 4, 5, 6, 0, 2, 7, /**/ 0, 1, 3, 4, 5, 6, 2, 7,  //
      2, 3, 4, 5, 6, 0, 1, 7, /**/ 0, 2, 3, 4, 5, 6, 1, 7,  //
      1, 2, 3, 4, 5, 6, 0, 7, /**/ 0, 1, 2, 3, 4, 5, 6, 7,  //
      7, 0, 1, 2, 3, 4, 5, 6, /**/ 0, 7, 1, 2, 3, 4, 5, 6,  //
      1, 7, 0, 2, 3, 4, 5, 6, /**/ 0, 1, 7, 2, 3, 4, 5, 6,  //
      2, 7, 0, 1, 3, 4, 5, 6, /**/ 0, 2, 7, 1, 3, 4, 5, 6,  //
      1, 2, 7, 0, 3, 4, 5, 6, /**/ 0, 1, 2, 7, 3, 4, 5, 6,  //
      3, 7, 0, 1, 2, 4, 5, 6, /**/ 0, 3, 7, 1, 2, 4, 5, 6,  //
      1, 3, 7, 0, 2, 4, 5, 6, /**/ 0, 1, 3, 7, 2, 4, 5, 6,  //
      2, 3, 7, 0, 1, 4, 5, 6, /**/ 0, 2, 3, 7, 1, 4, 5, 6,  //
      1, 2, 3, 7, 0, 4, 5, 6, /**/ 0, 1, 2, 3, 7, 4, 5, 6,  //
      4, 7, 0, 1, 2, 3, 5, 6, /**/ 0, 4, 7, 1, 2, 3, 5, 6,  //
      1, 4, 7, 0, 2, 3, 5, 6, /**/ 0, 1, 4, 7, 2, 3, 5, 6,  //
      2, 4, 7, 0, 1, 3, 5, 6, /**/ 0, 2, 4, 7, 1, 3, 5, 6,  //
      1, 2, 4, 7, 0, 3, 5, 6, /**/ 0, 1, 2, 4, 7, 3, 5, 6,  //
      3, 4, 7, 0, 1, 2, 5, 6, /**/ 0, 3, 4, 7, 1, 2, 5, 6,  //
      1, 3, 4, 7, 0, 2, 5, 6, /**/ 0, 1, 3, 4, 7, 2, 5, 6,  //
      2, 3, 4, 7, 0, 1, 5, 6, /**/ 0, 2, 3, 4, 7, 1, 5, 6,  //
      1, 2, 3, 4, 7, 0, 5, 6, /**/ 0, 1, 2, 3, 4, 7, 5, 6,  //
      5, 7, 0, 1, 2, 3, 4, 6, /**/ 0, 5, 7, 1, 2, 3, 4, 6,  //
      1, 5, 7, 0, 2, 3, 4, 6, /**/ 0, 1, 5, 7, 2, 3, 4, 6,  //
      2, 5, 7, 0, 1, 3, 4, 6, /**/ 0, 2, 5, 7, 1, 3, 4, 6,  //
      1, 2, 5, 7, 0, 3, 4, 6, /**/ 0, 1, 2, 5, 7, 3, 4, 6,  //
      3, 5, 7, 0, 1, 2, 4, 6, /**/ 0, 3, 5, 7, 1, 2, 4, 6,  //
      1, 3, 5, 7, 0, 2, 4, 6, /**/ 0, 1, 3, 5, 7, 2, 4, 6,  //
      2, 3, 5, 7, 0, 1, 4, 6, /**/ 0, 2, 3, 5, 7, 1, 4, 6,  //
      1, 2, 3, 5, 7, 0, 4, 6, /**/ 0, 1, 2, 3, 5, 7, 4, 6,  //
      4, 5, 7, 0, 1, 2, 3, 6, /**/ 0, 4, 5, 7, 1, 2, 3, 6,  //
      1, 4, 5, 7, 0, 2, 3, 6, /**/ 0, 1, 4, 5, 7, 2, 3, 6,  //
      2, 4, 5, 7, 0, 1, 3, 6, /**/ 0, 2, 4, 5, 7, 1, 3, 6,  //
      1, 2, 4, 5, 7, 0, 3, 6, /**/ 0, 1, 2, 4, 5, 7, 3, 6,  //
      3, 4, 5, 7, 0, 1, 2, 6, /**/ 0, 3, 4, 5, 7, 1, 2, 6,  //
      1, 3, 4, 5, 7, 0, 2, 6, /**/ 0, 1, 3, 4, 5, 7, 2, 6,  //
      2, 3, 4, 5, 7, 0, 1, 6, /**/ 0, 2, 3, 4, 5, 7, 1, 6,  //
      1, 2, 3, 4, 5, 7, 0, 6, /**/ 0, 1, 2, 3, 4, 5, 7, 6,  //
      6, 7, 0, 1, 2, 3, 4, 5, /**/ 0, 6, 7, 1, 2, 3, 4, 5,  //
      1, 6, 7, 0, 2, 3, 4, 5, /**/ 0, 1, 6, 7, 2, 3, 4, 5,  //
      2, 6, 7, 0, 1, 3, 4, 5, /**/ 0, 2, 6, 7, 1, 3, 4, 5,  //
      1, 2, 6, 7, 0, 3, 4, 5, /**/ 0, 1, 2, 6, 7, 3, 4, 5,  //
      3, 6, 7, 0, 1, 2, 4, 5, /**/ 0, 3, 6, 7, 1, 2, 4, 5,  //
      1, 3, 6, 7, 0, 2, 4, 5, /**/ 0, 1, 3, 6, 7, 2, 4, 5,  //
      2, 3, 6, 7, 0, 1, 4, 5, /**/ 0, 2, 3, 6, 7, 1, 4, 5,  //
      1, 2, 3, 6, 7, 0, 4, 5, /**/ 0, 1, 2, 3, 6, 7, 4, 5,  //
      4, 6, 7, 0, 1, 2, 3, 5, /**/ 0, 4, 6, 7, 1, 2, 3, 5,  //
      1, 4, 6, 7, 0, 2, 3, 5, /**/ 0, 1, 4, 6, 7, 2, 3, 5,  //
      2, 4, 6, 7, 0, 1, 3, 5, /**/ 0, 2, 4, 6, 7, 1, 3, 5,  //
      1, 2, 4, 6, 7, 0, 3, 5, /**/ 0, 1, 2, 4, 6, 7, 3, 5,  //
      3, 4, 6, 7, 0, 1, 2, 5, /**/ 0, 3, 4, 6, 7, 1, 2, 5,  //
      1, 3, 4, 6, 7, 0, 2, 5, /**/ 0, 1, 3, 4, 6, 7, 2, 5,  //
      2, 3, 4, 6, 7, 0, 1, 5, /**/ 0, 2, 3, 4, 6, 7, 1, 5,  //
      1, 2, 3, 4, 6, 7, 0, 5, /**/ 0, 1, 2, 3, 4, 6, 7, 5,  //
      5, 6, 7, 0, 1, 2, 3, 4, /**/ 0, 5, 6, 7, 1, 2, 3, 4,  //
      1, 5, 6, 7, 0, 2, 3, 4, /**/ 0, 1, 5, 6, 7, 2, 3, 4,  //
      2, 5, 6, 7, 0, 1, 3, 4, /**/ 0, 2, 5, 6, 7, 1, 3, 4,  //
      1, 2, 5, 6, 7, 0, 3, 4, /**/ 0, 1, 2, 5, 6, 7, 3, 4,  //
      3, 5, 6, 7, 0, 1, 2, 4, /**/ 0, 3, 5, 6, 7, 1, 2, 4,  //
      1, 3, 5, 6, 7, 0, 2, 4, /**/ 0, 1, 3, 5, 6, 7, 2, 4,  //
      2, 3, 5, 6, 7, 0, 1, 4, /**/ 0, 2, 3, 5, 6, 7, 1, 4,  //
      1, 2, 3, 5, 6, 7, 0, 4, /**/ 0, 1, 2, 3, 5, 6, 7, 4,  //
      4, 5, 6, 7, 0, 1, 2, 3, /**/ 0, 4, 5, 6, 7, 1, 2, 3,  //
      1, 4, 5, 6, 7, 0, 2, 3, /**/ 0, 1, 4, 5, 6, 7, 2, 3,  //
      2, 4, 5, 6, 7, 0, 1, 3, /**/ 0, 2, 4, 5, 6, 7, 1, 3,  //
      1, 2, 4, 5, 6, 7, 0, 3, /**/ 0, 1, 2, 4, 5, 6, 7, 3,  //
      3, 4, 5, 6, 7, 0, 1, 2, /**/ 0, 3, 4, 5, 6, 7, 1, 2,  //
      1, 3, 4, 5, 6, 7, 0, 2, /**/ 0, 1, 3, 4, 5, 6, 7, 2,  //
      2, 3, 4, 5, 6, 7, 0, 1, /**/ 0, 2, 3, 4, 5, 6, 7, 1,  //
      1, 2, 3, 4, 5, 6, 7, 0, /**/ 0, 1, 2, 3, 4, 5, 6, 7};

for (size_t i = 0; i < Lanes(d); i += 8) {
    // Each byte worth of bits is the index of one of 256 8-byte ranges, and its
    // population count determines how far to advance the write position.
    const size_t bits8 = bits[i / 8];
    const auto indices = Load(d8, table + bits8 * 8);
    const auto compressed = TableLookupBytes(LoadU(d8, lanes + i), indices);
    StoreU(compressed, d8, pos);
    pos += PopCount(bits8);
  }
  return static_cast<size_t>(pos - unaligned);
}

template <class V, class M, class D, typename T, HWY_IF_T_SIZE(T, 1)>
HWY_API size_t CompressStore(V v, M mask, D d, T* HWY_RESTRICT unaligned) {
  uint8_t bits[HWY_MAX(size_t{8}, MaxLanes(d) / 8)];
  (void)StoreMaskBits(d, mask, bits);
  return CompressBitsStore(v, bits, d, unaligned);
}

template <class V, class M, class D, typename T, HWY_IF_T_SIZE(T, 1)>
HWY_API size_t CompressBlendedStore(V v, M mask, D d,
                                    T* HWY_RESTRICT unaligned) {
  HWY_ALIGN T buf[MaxLanes(d)];
  const size_t bytes = CompressStore(v, mask, d, buf);
  BlendedStore(Load(d, buf), FirstN(d, bytes), d, unaligned);
  return bytes;
}

// For reasons unknown, HWY_IF_T_SIZE_V is a compile error in SVE.
template <class V, class M, typename T = TFromV<V>, HWY_IF_T_SIZE(T, 1)>
HWY_API V Compress(V v, const M mask) {
  const DFromV<V> d;
  HWY_ALIGN T lanes[MaxLanes(d)];
  (void)CompressStore(v, mask, d, lanes);
  return Load(d, lanes);
}

template <class V, typename T = TFromV<V>, HWY_IF_T_SIZE(T, 1)>
HWY_API V CompressBits(V v, const uint8_t* HWY_RESTRICT bits) {
  const DFromV<V> d;
  HWY_ALIGN T lanes[MaxLanes(d)];
  (void)CompressBitsStore(v, bits, d, lanes);
  return Load(d, lanes);
}

template <class V, class M, typename T = TFromV<V>, HWY_IF_T_SIZE(T, 1)>
HWY_API V CompressNot(V v, M mask) {
  return Compress(v, Not(mask));
}

#endif  // HWY_NATIVE_COMPRESS8

// ------------------------------ Expand

// Note that this generic implementation assumes <= 128 bit fixed vectors;
// the SVE and RVV targets provide their own native implementations.
#if (defined(HWY_NATIVE_EXPAND) == defined(HWY_TARGET_TOGGLE)) || HWY_IDE
#ifdef HWY_NATIVE_EXPAND
#undef HWY_NATIVE_EXPAND
#else
#define HWY_NATIVE_EXPAND
#endif

namespace detail {

template <size_t N>
HWY_INLINE Vec128<uint8_t, N> IndicesForExpandFromBits(uint64_t mask_bits) {
  static_assert(N <= 8, "Should only be called for half-vectors");
  const Simd<uint8_t, N, 0> du8;
  HWY_DASSERT(mask_bits < 0x100);
  alignas(16) static constexpr uint8_t table[2048] = {
      // PrintExpand8x8Tables
      128, 128, 128, 128, 128, 128, 128, 128,  //
      0,   128, 128, 128, 128, 128, 128, 128,  //
      128, 0,   128, 128, 128, 128, 128, 128,  //
      0,   1,   128, 128, 128, 128, 128, 128,  //
      128, 128, 0,   128, 128, 128, 128, 128,  //
      0,   128, 1,   128, 128, 128, 128, 128,  //
      128, 0,   1,   128, 128, 128, 128, 128,  //
      0,   1,   2,   128, 128, 128, 128, 128,  //
      128, 128, 128, 0,   128, 128, 128, 128,  //
      0,   128, 128, 1,   128, 128, 128, 128,  //
      128, 0,   128, 1,   128, 128, 128, 128,  //
      0,   1,   128, 2,   128, 128, 128, 128,  //
      128, 128, 0,   1,   128, 128, 128, 128,  //
      0,   128, 1,   2,   128, 128, 128, 128,  //
      128, 0,   1,   2,   128, 128, 128, 128,  //
      0,   1,   2,   3,   128, 128, 128, 128,  //
      128, 128, 128, 128, 0,   128, 128, 128,  //
      0,   128, 128, 128, 1,   128, 128, 128,  //
      128, 0,   128, 128, 1,   128, 128, 128,  //
      0,   1,   128, 128, 2,   128, 128, 128,  //
      128, 128, 0,   128, 1,   128, 128, 128,  //
      0,   128, 1,   128, 2,   128, 128, 128,  //
      128, 0,   1,   128, 2,   128, 128, 128,  //
      0,   1,   2,   128, 3,   128, 128, 128,  //
      128, 128, 128, 0,   1,   128, 128, 128,  //
      0,   128, 128, 1,   2,   128, 128, 128,  //
      128, 0,   128, 1,   2,   128, 128, 128,  //
      0,   1,   128, 2,   3,   128, 128, 128,  //
      128, 128, 0,   1,   2,   128, 128, 128,  //
      0,   128, 1,   2,   3,   128, 128, 128,  //
      128, 0,   1,   2,   3,   128, 128, 128,  //
      0,   1,   2,   3,   4,   128, 128, 128,  //
      128, 128, 128, 128, 128, 0,   128, 128,  //
      0,   128, 128, 128, 128, 1,   128, 128,  //
      128, 0,   128, 128, 128, 1,   128, 128,  //
      0,   1,   128, 128, 128, 2,   128, 128,  //
      128, 128, 0,   128, 128, 1,   128, 128,  //
      0,   128, 1,   128, 128, 2,   128, 128,  //
      128, 0,   1,   128, 128, 2,   128, 128,  //
      0,   1,   2,   128, 128, 3,   128, 128,  //
      128, 128, 128, 0,   128, 1,   128, 128,  //
      0,   128, 128, 1,   128, 2,   128, 128,  //
      128, 0,   128, 1,   128, 2,   128, 128,  //
      0,   1,   128, 2,   128, 3,   128, 128,  //
      128, 128, 0,   1,   128, 2,   128, 128,  //
      0,   128, 1,   2,   128, 3,   128, 128,  //
      128, 0,   1,   2,   128, 3,   128, 128,  //
      0,   1,   2,   3,   128, 4,   128, 128,  //
      128, 128, 128, 128, 0,   1,   128, 128,  //
      0,   128, 128, 128, 1,   2,   128, 128,  //
      128, 0,   128, 128, 1,   2,   128, 128,  //
      0,   1,   128, 128, 2,   3,   128, 128,  //
      128, 128, 0,   128, 1,   2,   128, 128,  //
      0,   128, 1,   128, 2,   3,   128, 128,  //
      128, 0,   1,   128, 2,   3,   128, 128,  //
      0,   1,   2,   128, 3,   4,   128, 128,  //
      128, 128, 128, 0,   1,   2,   128, 128,  //
      0,   128, 128, 1,   2,   3,   128, 128,  //
      128, 0,   128, 1,   2,   3,   128, 128,  //
      0,   1,   128, 2,   3,   4,   128, 128,  //
      128, 128, 0,   1,   2,   3,   128, 128,  //
      0,   128, 1,   2,   3,   4,   128, 128,  //
      128, 0,   1,   2,   3,   4,   128, 128,  //
      0,   1,   2,   3,   4,   5,   128, 128,  //
      128, 128, 128, 128, 128, 128, 0,   128,  //
      0,   128, 128, 128, 128, 128, 1,   128,  //
      128, 0,   128, 128, 128, 128, 1,   128,  //
      0,   1,   128, 128, 128, 128, 2,   128,  //
      128, 128, 0,   128, 128, 128, 1,   128,  //
      0,   128, 1,   128, 128, 128, 2,   128,  //
      128, 0,   1,   128, 128, 128, 2,   128,  //
      0,   1,   2,   128, 128, 128, 3,   128,  //
      128, 128, 128, 0,   128, 128, 1,   128,  //
      0,   128, 128, 1,   128, 128, 2,   128,  //
      128, 0,   128, 1,   128, 128, 2,   128,  //
      0,   1,   128, 2,   128, 128, 3,   128,  //
      128, 128, 0,   1,   128, 128, 2,   128,  //
      0,   128, 1,   2,   128, 128, 3,   128,  //
      128, 0,   1,   2,   128, 128, 3,   128,  //
      0,   1,   2,   3,   128, 128, 4,   128,  //
      128, 128, 128, 128, 0,   128, 1,   128,  //
      0,   128, 128, 128, 1,   128, 2,   128,  //
      128, 0,   128, 128, 1,   128, 2,   128,  //
      0,   1,   128, 128, 2,   128, 3,   128,  //
      128, 128, 0,   128, 1,   128, 2,   128,  //
      0,   128, 1,   128, 2,   128, 3,   128,  //
      128, 0,   1,   128, 2,   128, 3,   128,  //
      0,   1,   2,   128, 3,   128, 4,   128,  //
      128, 128, 128, 0,   1,   128, 2,   128,  //
      0,   128, 128, 1,   2,   128, 3,   128,  //
      128, 0,   128, 1,   2,   128, 3,   128,  //
      0,   1,   128, 2,   3,   128, 4,   128,  //
      128, 128, 0,   1,   2,   128, 3,   128,  //
      0,   128, 1,   2,   3,   128, 4,   128,  //
      128, 0,   1,   2,   3,   128, 4,   128,  //
      0,   1,   2,   3,   4,   128, 5,   128,  //
      128, 128, 128, 128, 128, 0,   1,   128,  //
      0,   128, 128, 128, 128, 1,   2,   128,  //
      128, 0,   128, 128, 128, 1,   2,   128,  //
      0,   1,   128, 128, 128, 2,   3,   128,  //
      128, 128, 0,   128, 128, 1,   2,   128,  //
      0,   128, 1,   128, 128, 2,   3,   128,  //
      128, 0,   1,   128, 128, 2,   3,   128,  //
      0,   1,   2,   128, 128, 3,   4,   128,  //
      128, 128, 128, 0,   128, 1,   2,   128,  //
      0,   128, 128, 1,   128, 2,   3,   128,  //
      128, 0,   128, 1,   128, 2,   3,   128,  //
      0,   1,   128, 2,   128, 3,   4,   128,  //
      128, 128, 0,   1,   128, 2,   3,   128,  //
      0,   128, 1,   2,   128, 3,   4,   128,  //
      128, 0,   1,   2,   128, 3,   4,   128,  //
      0,   1,   2,   3,   128, 4,   5,   128,  //
      128, 128, 128, 128, 0,   1,   2,   128,  //
      0,   128, 128, 128, 1,   2,   3,   128,  //
      128, 0,   128, 128, 1,   2,   3,   128,  //
      0,   1,   128, 128, 2,   3,   4,   128,  //
      128, 128, 0,   128, 1,   2,   3,   128,  //
      0,   128, 1,   128, 2,   3,   4,   128,  //
      128, 0,   1,   128, 2,   3,   4,   128,  //
      0,   1,   2,   128, 3,   4,   5,   128,  //
      128, 128, 128, 0,   1,   2,   3,   128,  //
      0,   128, 128, 1,   2,   3,   4,   128,  //
      128, 0,   128, 1,   2,   3,   4,   128,  //
      0,   1,   128, 2,   3,   4,   5,   128,  //
      128, 128, 0,   1,   2,   3,   4,   128,  //
      0,   128, 1,   2,   3,   4,   5,   128,  //
      128, 0,   1,   2,   3,   4,   5,   128,  //
      0,   1,   2,   3,   4,   5,   6,   128,  //
      128, 128, 128, 128, 128, 128, 128, 0,    //
      0,   128, 128, 128, 128, 128, 128, 1,    //
      128, 0,   128, 128, 128, 128, 128, 1,    //
      0,   1,   128, 128, 128, 128, 128, 2,    //
      128, 128, 0,   128, 128, 128, 128, 1,    //
      0,   128, 1,   128, 128, 128, 128, 2,    //
      128, 0,   1,   128, 128, 128, 128, 2,    //
      0,   1,   2,   128, 128, 128, 128, 3,    //
      128, 128, 128, 0,   128, 128, 128, 1,    //
      0,   128, 128, 1,   128, 128, 128, 2,    //
      128, 0,   128, 1,   128, 128, 128, 2,    //
      0,   1,   128, 2,   128, 128, 128, 3,    //
      128, 128, 0,   1,   128, 128, 128, 2,    //
      0,   128, 1,   2,   128, 128, 128, 3,    //
      128, 0,   1,   2,   128, 128, 128, 3,    //
      0,   1,   2,   3,   128, 128, 128, 4,    //
      128, 128, 128, 128, 0,   128, 128, 1,    //
      0,   128, 128, 128, 1,   128, 128, 2,    //
      128, 0,   128, 128, 1,   128, 128, 2,    //
      0,   1,   128, 128, 2,   128, 128, 3,    //
      128, 128, 0,   128, 1,   128, 128, 2,    //
      0,   128, 1,   128, 2,   128, 128, 3,    //
      128, 0,   1,   128, 2,   128, 128, 3,    //
      0,   1,   2,   128, 3,   128, 128, 4,    //
      128, 128, 128, 0,   1,   128, 128, 2,    //
      0,   128, 128, 1,   2,   128, 128, 3,    //
      128, 0,   128, 1,   2,   128, 128, 3,    //
      0,   1,   128, 2,   3,   128, 128, 4,    //
      128, 128, 0,   1,   2,   128, 128, 3,    //
      0,   128, 1,   2,   3,   128, 128, 4,    //
      128, 0,   1,   2,   3,   128, 128, 4,    //
      0,   1,   2,   3,   4,   128, 128, 5,    //
      128, 128, 128, 128, 128, 0,   128, 1,    //
      0,   128, 128, 128, 128, 1,   128, 2,    //
      128, 0,   128, 128, 128, 1,   128, 2,    //
      0,   1,   128, 128, 128, 2,   128, 3,    //
      128, 128, 0,   128, 128, 1,   128, 2,    //
      0,   128, 1,   128, 128, 2,   128, 3,    //
      128, 0,   1,   128, 128, 2,   128, 3,    //
      0,   1,   2,   128, 128, 3,   128, 4,    //
      128, 128, 128, 0,   128, 1,   128, 2,    //
      0,   128, 128, 1,   128, 2,   128, 3,    //
      128, 0,   128, 1,   128, 2,   128, 3,    //
      0,   1,   128, 2,   128, 3,   128, 4,    //
      128, 128, 0,   1,   128, 2,   128, 3,    //
      0,   128, 1,   2,   128, 3,   128, 4,    //
      128, 0,   1,   2,   128, 3,   128, 4,    //
      0,   1,   2,   3,   128, 4,   128, 5,    //
      128, 128, 128, 128, 0,   1,   128, 2,    //
      0,   128, 128, 128, 1,   2,   128, 3,    //
      128, 0,   128, 128, 1,   2,   128, 3,    //
      0,   1,   128, 128, 2,   3,   128, 4,    //
      128, 128, 0,   128, 1,   2,   128, 3,    //
      0,   128, 1,   128, 2,   3,   128, 4,    //
      128, 0,   1,   128, 2,   3,   128, 4,    //
      0,   1,   2,   128, 3,   4,   128, 5,    //
      128, 128, 128, 0,   1,   2,   128, 3,    //
      0,   128, 128, 1,   2,   3,   128, 4,    //
      128, 0,   128, 1,   2,   3,   128, 4,    //
      0,   1,   128, 2,   3,   4,   128, 5,    //
      128, 128, 0,   1,   2,   3,   128, 4,    //
      0,   128, 1,   2,   3,   4,   128, 5,    //
      128, 0,   1,   2,   3,   4,   128, 5,    //
      0,   1,   2,   3,   4,   5,   128, 6,    //
      128, 128, 128, 128, 128, 128, 0,   1,    //
      0,   128, 128, 128, 128, 128, 1,   2,    //
      128, 0,   128, 128, 128, 128, 1,   2,    //
      0,   1,   128, 128, 128, 128, 2,   3,    //
      128, 128, 0,   128, 128, 128, 1,   2,    //
      0,   128, 1,   128, 128, 128, 2,   3,    //
      128, 0,   1,   128, 128, 128, 2,   3,    //
      0,   1,   2,   128, 128, 128, 3,   4,    //
      128, 128, 128, 0,   128, 128, 1,   2,    //
      0,   128, 128, 1,   128, 128, 2,   3,    //
      128, 0,   128, 1,   128, 128, 2,   3,    //
      0,   1,   128, 2,   128, 128, 3,   4,    //
      128, 128, 0,   1,   128, 128, 2,   3,    //
      0,   128, 1,   2,   128, 128, 3,   4,    //
      128, 0,   1,   2,   128, 128, 3,   4,    //
      0,   1,   2,   3,   128, 128, 4,   5,    //
      128, 128, 128, 128, 0,   128, 1,   2,    //
      0,   128, 128, 128, 1,   128, 2,   3,    //
      128, 0,   128, 128, 1,   128, 2,   3,    //
      0,   1,   128, 128, 2,   128, 3,   4,    //
      128, 128, 0,   128, 1,   128, 2,   3,    //
      0,   128, 1,   128, 2,   128, 3,   4,    //
      128, 0,   1,   128, 2,   128, 3,   4,    //
      0,   1,   2,   128, 3,   128, 4,   5,    //
      128, 128, 128, 0,   1,   128, 2,   3,    //
      0,   128, 128, 1,   2,   128, 3,   4,    //
      128, 0,   128, 1,   2,   128, 3,   4,    //
      0,   1,   128, 2,   3,   128, 4,   5,    //
      128, 128, 0,   1,   2,   128, 3,   4,    //
      0,   128, 1,   2,   3,   128, 4,   5,    //
      128, 0,   1,   2,   3,   128, 4,   5,    //
      0,   1,   2,   3,   4,   128, 5,   6,    //
      128, 128, 128, 128, 128, 0,   1,   2,    //
      0,   128, 128, 128, 128, 1,   2,   3,    //
      128, 0,   128, 128, 128, 1,   2,   3,    //
      0,   1,   128, 128, 128, 2,   3,   4,    //
      128, 128, 0,   128, 128, 1,   2,   3,    //
      0,   128, 1,   128, 128, 2,   3,   4,    //
      128, 0,   1,   128, 128, 2,   3,   4,    //
      0,   1,   2,   128, 128, 3,   4,   5,    //
      128, 128, 128, 0,   128, 1,   2,   3,    //
      0,   128, 128, 1,   128, 2,   3,   4,    //
      128, 0,   128, 1,   128, 2,   3,   4,    //
      0,   1,   128, 2,   128, 3,   4,   5,    //
      128, 128, 0,   1,   128, 2,   3,   4,    //
      0,   128, 1,   2,   128, 3,   4,   5,    //
      128, 0,   1,   2,   128, 3,   4,   5,    //
      0,   1,   2,   3,   128, 4,   5,   6,    //
      128, 128, 128, 128, 0,   1,   2,   3,    //
      0,   128, 128, 128, 1,   2,   3,   4,    //
      128, 0,   128, 128, 1,   2,   3,   4,    //
      0,   1,   128, 128, 2,   3,   4,   5,    //
      128, 128, 0,   128, 1,   2,   3,   4,    //
      0,   128, 1,   128, 2,   3,   4,   5,    //
      128, 0,   1,   128, 2,   3,   4,   5,    //
      0,   1,   2,   128, 3,   4,   5,   6,    //
      128, 128, 128, 0,   1,   2,   3,   4,    //
      0,   128, 128, 1,   2,   3,   4,   5,    //
      128, 0,   128, 1,   2,   3,   4,   5,    //
      0,   1,   128, 2,   3,   4,   5,   6,    //
      128, 128, 0,   1,   2,   3,   4,   5,    //
      0,   128, 1,   2,   3,   4,   5,   6,    //
      128, 0,   1,   2,   3,   4,   5,   6,    //
      0,   1,   2,   3,   4,   5,   6,   7};
  return LoadU(du8, table + mask_bits * 8);
}

}  // namespace detail

// Half vector of bytes: one table lookup
template <typename T, size_t N, HWY_IF_T_SIZE(T, 1), HWY_IF_V_SIZE_LE(T, N, 8)>
HWY_API Vec128<T, N> Expand(Vec128<T, N> v, Mask128<T, N> mask) {
  const DFromV<decltype(v)> d;

const uint64_t mask_bits = BitsFromMask(d, mask);
  const Vec128<uint8_t, N> indices =
      detail::IndicesForExpandFromBits<N>(mask_bits);
  return BitCast(d, TableLookupBytesOr0(v, indices));
}

// Full vector of bytes: two table lookups
template <typename T, HWY_IF_T_SIZE(T, 1)>
HWY_API Vec128<T> Expand(Vec128<T> v, Mask128<T> mask) {
  const Full128<T> d;
  const RebindToUnsigned<decltype(d)> du;
  const Half<decltype(du)> duh;
  const Vec128<uint8_t> vu = BitCast(du, v);

const uint64_t mask_bits = BitsFromMask(d, mask);
  const uint64_t maskL = mask_bits & 0xFF;
  const uint64_t maskH = mask_bits >> 8;

// We want to skip past the v bytes already consumed by idxL. There is no
  // instruction for shift-reg by variable bytes. Storing v itself would work
  // but would involve a store-load forwarding stall. We instead shuffle using
  // loaded indices.
  // TODO: MultiRotateRight would also help, but if we have that, we probably
  // also have native 8-bit Expand?
  alignas(16) static constexpr uint8_t iota[32] = {
      0,   1,   2,   3,   4,   5,   6,   7,   8,   9,   10,
      11,  12,  13,  14,  15,  128, 128, 128, 128, 128, 128,
      128, 128, 128, 128, 128, 128, 128, 128, 128, 128};
  const VFromD<decltype(du)> shift = LoadU(du, iota + PopCount(maskL));
  const VFromD<decltype(duh)> vL = LowerHalf(duh, vu);
  const VFromD<decltype(duh)> vH =
      LowerHalf(duh, TableLookupBytesOr0(vu, shift));

const VFromD<decltype(duh)> idxL = detail::IndicesForExpandFromBits<8>(maskL);
  const VFromD<decltype(duh)> idxH = detail::IndicesForExpandFromBits<8>(maskH);

const VFromD<decltype(duh)> expandL = TableLookupBytesOr0(vL, idxL);
  const VFromD<decltype(duh)> expandH = TableLookupBytesOr0(vH, idxH);
  return BitCast(d, Combine(du, expandH, expandL));
}

template <typename T, size_t N, HWY_IF_T_SIZE(T, 2)>
HWY_API Vec128<T, N> Expand(Vec128<T, N> v, Mask128<T, N> mask) {
  const DFromV<decltype(v)> d;
  const RebindToUnsigned<decltype(d)> du;

const Rebind<uint8_t, decltype(d)> du8;
  const uint64_t mask_bits = BitsFromMask(d, mask);

// Storing as 8-bit reduces table size from 4 KiB to 2 KiB. We cannot apply
  // the nibble trick used below because not all indices fit within one lane.
  alignas(16) static constexpr uint8_t table[2048] = {
      // PrintExpand16x8ByteTables
      128, 128, 128, 128, 128, 128, 128, 128,  //
      0,   128, 128, 128, 128, 128, 128, 128,  //
      128, 0,   128, 128, 128, 128, 128, 128,  //
      0,   2,   128, 128, 128, 128, 128, 128,  //
      128, 128, 0,   128, 128, 128, 128, 128,  //
      0,   128, 2,   128, 128, 128, 128, 128,  //
      128, 0,   2,   128, 128, 128, 128, 128,  //
      0,   2,   4,   128, 128, 128, 128, 128,  //
      128, 128, 128, 0,   128, 128, 128, 128,  //
      0,   128, 128, 2,   128, 128, 128, 128,  //
      128, 0,   128, 2,   128, 128, 128, 128,  //
      0,   2,   128, 4,   128, 128, 128, 128,  //
      128, 128, 0,   2,   128, 128, 128, 128,  //
      0,   128, 2,   4,   128, 128, 128, 128,  //
      128, 0,   2,   4,   128, 128, 128, 128,  //
      0,   2,   4,   6,   128, 128, 128, 128,  //
      128, 128, 128, 128, 0,   128, 128, 128,  //
      0,   128, 128, 128, 2,   128, 128, 128,  //
      128, 0,   128, 128, 2,   128, 128, 128,  //
      0,   2,   128, 128, 4,   128, 128, 128,  //
      128, 128, 0,   128, 2,   128, 128, 128,  //
      0,   128, 2,   128, 4,   128, 128, 128,  //
      128, 0,   2,   128, 4,   128, 128, 128,  //
      0,   2,   4,   128, 6,   128, 128, 128,  //
      128, 128, 128, 0,   2,   128, 128, 128,  //
      0,   128, 128, 2,   4,   128, 128, 128,  //
      128, 0,   128, 2,   4,   128, 128, 128,  //
      0,   2,   128, 4,   6,   128, 128, 128,  //
      128, 128, 0,   2,   4,   128, 128, 128,  //
      0,   128, 2,   4,   6,   128, 128, 128,  //
      128, 0,   2,   4,   6,   128, 128, 128,  //
      0,   2,   4,   6,   8,   128, 128, 128,  //
      128, 128, 128, 128, 128, 0,   128, 128,  //
      0,   128, 128, 128, 128, 2,   128, 128,  //
      128, 0,   128, 128, 128, 2,   128, 128,  //
      0,   2,   128, 128, 128, 4,   128, 128,  //
      128, 128, 0,   128, 128, 2,   128, 128,  //
      0,   128, 2,   128, 128, 4,   128, 128,  //
      128, 0,   2,   128, 128, 4,   128, 128,  //
      0,   2,   4,   128, 128, 6,   128, 128,  //
      128, 128, 128, 0,   128, 2,   128, 128,  //
      0,   128, 128, 2,   128, 4,   128, 128,  //
      128, 0,   128, 2,   128, 4,   128, 128,  //
      0,   2,   128, 4,   128, 6,   128, 128,  //
      128, 128, 0,   2,   128, 4,   128, 128,  //
      0,   128, 2,   4,   128, 6,   128, 128,  //
      128, 0,   2,   4,   128, 6,   128, 128,  //
      0,   2,   4,   6,   128, 8,   128, 128,  //
      128, 128, 128, 128, 0,   2,   128, 128,  //
      0,   128, 128, 128, 2,   4,   128, 128,  //
      128, 0,   128, 128, 2,   4,   128, 128,  //
      0,   2,   128, 128, 4,   6,   128, 128,  //
      128, 128, 0,   128, 2,   4,   128, 128,  //
      0,   128, 2,   128, 4,   6,   128, 128,  //
      128, 0,   2,   128, 4,   6,   128, 128,  //
      0,   2,   4,   128, 6,   8,   128, 128,  //
      128, 128, 128, 0,   2,   4,   128, 128,  //
      0,   128, 128, 2,   4,   6,   128, 128,  //
      128, 0,   128, 2,   4,   6,   128, 128,  //
      0,   2,   128, 4,   6,   8,   128, 128,  //
      128, 128, 0,   2,   4,   6,   128, 128,  //
      0,   128, 2,   4,   6,   8,   128, 128,  //
      128, 0,   2,   4,   6,   8,   128, 128,  //
      0,   2,   4,   6,   8,   10,  128, 128,  //
      128, 128, 128, 128, 128, 128, 0,   128,  //
      0,   128, 128, 128, 128, 128, 2,   128,  //
      128, 0,   128, 128, 128, 128, 2,   128,  //
      0,   2,   128, 128, 128, 128, 4,   128,  //
      128, 128, 0,   128, 128, 128, 2,   128,  //
      0,   128, 2,   128, 128, 128, 4,   128,  //
      128, 0,   2,   128, 128, 128, 4,   128,  //
      0,   2,   4,   128, 128, 128, 6,   128,  //
      128, 128, 128, 0,   128, 128, 2,   128,  //
      0,   128, 128, 2,   128, 128, 4,   128,  //
      128, 0,   128, 2,   128, 128, 4,   128,  //
      0,   2,   128, 4,   128, 128, 6,   128,  //
      128, 128, 0,   2,   128, 128, 4,   128,  //
      0,   128, 2,   4,   128, 128, 6,   128,  //
      128, 0,   2,   4,   128, 128, 6,   128,  //
      0,   2,   4,   6,   128, 128, 8,   128,  //
      128, 128, 128, 128, 0,   128, 2,   128,  //
      0,   128, 128, 128, 2,   128, 4,   128,  //
      128, 0,   128, 128, 2,   128, 4,   128,  //
      0,   2,   128, 128, 4,   128, 6,   128,  //
      128, 128, 0,   128, 2,   128, 4,   128,  //
      0,   128, 2,   128, 4,   128, 6,   128,  //
      128, 0,   2,   128, 4,   128, 6,   128,  //
      0,   2,   4,   128, 6,   128, 8,   128,  //
      128, 128, 128, 0,   2,   128, 4,   128,  //
      0,   128, 128, 2,   4,   128, 6,   128,  //
      128, 0,   128, 2,   4,   128, 6,   128,  //
      0,   2,   128, 4,   6,   128, 8,   128,  //
      128, 128, 0,   2,   4,   128, 6,   128,  //
      0,   128, 2,   4,   6,   128, 8,   128,  //
      128, 0,   2,   4,   6,   128, 8,   128,  //
      0,   2,   4,   6,   8,   128, 10,  128,  //
      128, 128, 128, 128, 128, 0,   2,   128,  //
      0,   128, 128, 128, 128, 2,   4,   128,  //
      128, 0,   128, 128, 128, 2,   4,   128,  //
      0,   2,   128, 128, 128, 4,   6,   128,  //
      128, 128, 0,   128, 128, 2,   4,   128,  //
      0,   128, 2,   128, 128, 4,   6,   128,  //
      128, 0,   2,   128, 128, 4,   6,   128,  //
      0,   2,   4,   128, 128, 6,   8,   128,  //
      128, 128, 128, 0,   128, 2,   4,   128,  //
      0,   128, 128, 2,   128, 4,   6,   128,  //
      128, 0,   128, 2,   128, 4,   6,   128,  //
      0,   2,   128, 4,   128, 6,   8,   128,  //
      128, 128, 0,   2,   128, 4,   6,   128,  //
      0,   128, 2,   4,   128, 6,   8,   128,  //
      128, 0,   2,   4,   128, 6,   8,   128,  //
      0,   2,   4,   6,   128, 8,   10,  128,  //
      128, 128, 128, 128, 0,   2,   4,   128,  //
      0,   128, 128, 128, 2,   4,   6,   128,  //
      128, 0,   128, 128, 2,   4,   6,   128,  //
      0,   2,   128, 128, 4,   6,   8,   128,  //
      128, 128, 0,   128, 2,   4,   6,   128,  //
      0,   128, 2,   128, 4,   6,   8,   128,  //
      128, 0,   2,   128, 4,   6,   8,   128,  //
      0,   2,   4,   128, 6,   8,   10,  128,  //
      128, 128, 128, 0,   2,   4,   6,   128,  //
      0,   128, 128, 2,   4,   6,   8,   128,  //
      128, 0,   128, 2,   4,   6,   8,   128,  //
      0,   2,   128, 4,   6,   8,   10,  128,  //
      128, 128, 0,   2,   4,   6,   8,   128,  //
      0,   128, 2,   4,   6,   8,   10,  128,  //
      128, 0,   2,   4,   6,   8,   10,  128,  //
      0,   2,   4,   6,   8,   10,  12,  128,  //
      128, 128, 128, 128, 128, 128, 128, 0,    //
      0,   128, 128, 128, 128, 128, 128, 2,    //
      128, 0,   128, 128, 128, 128, 128, 2,    //
      0,   2,   128, 128, 128, 128, 128, 4,    //
      128, 128, 0,   128, 128, 128, 128, 2,    //
      0,   128, 2,   128, 128, 128, 128, 4,    //
      128, 0,   2,   128, 128, 128, 128, 4,    //
      0,   2,   4,   128, 128, 128, 128, 6,    //
      128, 128, 128, 0,   128, 128, 128, 2,    //
      0,   128, 128, 2,   128, 128, 128, 4,    //
      128, 0,   128, 2,   128, 128, 128, 4,    //
      0,   2,   128, 4,   128, 128, 128, 6,    //
      128, 128, 0,   2,   128, 128, 128, 4,    //
      0,   128, 2,   4,   128, 128, 128, 6,    //
      128, 0,   2,   4,   128, 128, 128, 6,    //
      0,   2,   4,   6,   128, 128, 128, 8,    //
      128, 128, 128, 128, 0,   128, 128, 2,    //
      0,   128, 128, 128, 2,   128, 128, 4,    //
      128, 0,   128, 128, 2,   128, 128, 4,    //
      0,   2,   128, 128, 4,   128, 128, 6,    //
      128, 128, 0,   128, 2,   128, 128, 4,    //
      0,   128, 2,   128, 4,   128, 128, 6,    //
      128, 0,   2,   128, 4,   128, 128, 6,    //
      0,   2,   4,   128, 6,   128, 128, 8,    //
      128, 128, 128, 0,   2,   128, 128, 4,    //
      0,   128, 128, 2,   4,   128, 128, 6,    //
      128, 0,   128, 2,   4,   128, 128, 6,    //
      0,   2,   128, 4,   6,   128, 128, 8,    //
      128, 128, 0,   2,   4,   128, 128, 6,    //
      0,   128, 2,   4,   6,   128, 128, 8,    //
      128, 0,   2,   4,   6,   128, 128, 8,    //
      0,   2,   4,   6,   8,   128, 128, 10,   //
      128, 128, 128, 128, 128, 0,   128, 2,    //
      0,   128, 128, 128, 128, 2,   128, 4,    //
      128, 0,   128, 128, 128, 2,   128, 4,    //
      0,   2,   128, 128, 128, 4,   128, 6,    //
      128, 128, 0,   128, 128, 2,   128, 4,    //
      0,   128, 2,   128, 128, 4,   128, 6,    //
      128, 0,   2,   128, 128, 4,   128, 6,    //
      0,   2,   4,   128, 128, 6,   128, 8,    //
      128, 128, 128, 0,   128, 2,   128, 4,    //
      0,   128, 128, 2,   128, 4,   128, 6,    //
      128, 0,   128, 2,   128, 4,   128, 6,    //
      0,   2,   128, 4,   128, 6,   128, 8,    //
      128, 128, 0,   2,   128, 4,   128, 6,    //
      0,   128, 2,   4,   128, 6,   128, 8,    //
      128, 0,   2,   4,   128, 6,   128, 8,    //
      0,   2,   4,   6,   128, 8,   128, 10,   //
      128, 128, 128, 128, 0,   2,   128, 4,    //
      0,   128, 128, 128, 2,   4,   128, 6,    //
      128, 0,   128, 128, 2,   4,   128, 6,    //
      0,   2,   128, 128, 4,   6,   128, 8,    //
      128, 128, 0,   128, 2,   4,   128, 6,    //
      0,   128, 2,   128, 4,   6,   128, 8,    //
      128, 0,   2,   128, 4,   6,   128, 8,    //
      0,   2,   4,   128, 6,   8,   128, 10,   //
      128, 128, 128, 0,   2,   4,   128, 6,    //
      0,   128, 128, 2,   4,   6,   128, 8,    //
      128, 0,   128, 2,   4,   6,   128, 8,    //
      0,   2,   128, 4,   6,   8,   128, 10,   //
      128, 128, 0,   2,   4,   6,   128, 8,    //
      0,   128, 2,   4,   6,   8,   128, 10,   //
      128, 0,   2,   4,   6,   8,   128, 10,   //
      0,   2,   4,   6,   8,   10,  128, 12,   //
      128, 128, 128, 128, 128, 128, 0,   2,    //
      0,   128, 128, 128, 128, 128, 2,   4,    //
      128, 0,   128, 128, 128, 128, 2,   4,    //
      0,   2,   128, 128, 128, 128, 4,   6,    //
      128, 128, 0,   128, 128, 128, 2,   4,    //
      0,   128, 2,   128, 128, 128, 4,   6,    //
      128, 0,   2,   128, 128, 128, 4,   6,    //
      0,   2,   4,   128, 128, 128, 6,   8,    //
      128, 128, 128, 0,   128, 128, 2,   4,    //
      0,   128, 128, 2,   128, 128, 4,   6,    //
      128, 0,   128, 2,   128, 128, 4,   6,    //
      0,   2,   128, 4,   128, 128, 6,   8,    //
      128, 128, 0,   2,   128, 128, 4,   6,    //
      0,   128, 2,   4,   128, 128, 6,   8,    //
      128, 0,   2,   4,   128, 128, 6,   8,    //
      0,   2,   4,   6,   128, 128, 8,   10,   //
      128, 128, 128, 128, 0,   128, 2,   4,    //
      0,   128, 128, 128, 2,   128, 4,   6,    //
      128, 0,   128, 128, 2,   128, 4,   6,    //
      0,   2,   128, 128, 4,   128, 6,   8,    //
      128, 128, 0,   128, 2,   128, 4,   6,    //
      0,   128, 2,   128, 4,   128, 6,   8,    //
      128, 0,   2,   128, 4,   128, 6,   8,    //
      0,   2,   4,   128, 6,   128, 8,   10,   //
      128, 128, 128, 0,   2,   128, 4,   6,    //
      0,   128, 128, 2,   4,   128, 6,   8,    //
      128, 0,   128, 2,   4,   128, 6,   8,    //
      0,   2,   128, 4,   6,   128, 8,   10,   //
      128, 128, 0,   2,   4,   128, 6,   8,    //
      0,   128, 2,   4,   6,   128, 8,   10,   //
      128, 0,   2,   4,   6,   128, 8,   10,   //
      0,   2,   4,   6,   8,   128, 10,  12,   //
      128, 128, 128, 128, 128, 0,   2,   4,    //
      0,   128, 128, 128, 128, 2,   4,   6,    //
      128, 0,   128, 128, 128, 2,   4,   6,    //
      0,   2,   128, 128, 128, 4,   6,   8,    //
      128, 128, 0,   128, 128, 2,   4,   6,    //
      0,   128, 2,   128, 128, 4,   6,   8,    //
      128, 0,   2,   128, 128, 4,   6,   8,    //
      0,   2,   4,   128, 128, 6,   8,   10,   //
      128, 128, 128, 0,   128, 2,   4,   6,    //
      0,   128, 128, 2,   128, 4,   6,   8,    //
      128, 0,   128, 2,   128, 4,   6,   8,    //
      0,   2,   128, 4,   128, 6,   8,   10,   //
      128, 128, 0,   2,   128, 4,   6,   8,    //
      0,   128, 2,   4,   128, 6,   8,   10,   //
      128, 0,   2,   4,   128, 6,   8,   10,   //
      0,   2,   4,   6,   128, 8,   10,  12,   //
      128, 128, 128, 128, 0,   2,   4,   6,    //
      0,   128, 128, 128, 2,   4,   6,   8,    //
      128, 0,   128, 128, 2,   4,   6,   8,    //
      0,   2,   128, 128, 4,   6,   8,   10,   //
      128, 128, 0,   128, 2,   4,   6,   8,    //
      0,   128, 2,   128, 4,   6,   8,   10,   //
      128, 0,   2,   128, 4,   6,   8,   10,   //
      0,   2,   4,   128, 6,   8,   10,  12,   //
      128, 128, 128, 0,   2,   4,   6,   8,    //
      0,   128, 128, 2,   4,   6,   8,   10,   //
      128, 0,   128, 2,   4,   6,   8,   10,   //
      0,   2,   128, 4,   6,   8,   10,  12,   //
      128, 128, 0,   2,   4,   6,   8,   10,   //
      0,   128, 2,   4,   6,   8,   10,  12,   //
      128, 0,   2,   4,   6,   8,   10,  12,   //
      0,   2,   4,   6,   8,   10,  12,  14};
  // Extend to double length because InterleaveLower will only use the (valid)
  // lower half, and we want N u16.
  const Twice<decltype(du8)> du8x2;
  const Vec128<uint8_t, 2 * N> indices8 =
      ZeroExtendVector(du8x2, Load(du8, table + mask_bits * 8));
  const Vec128<uint16_t, N> indices16 =
      BitCast(du, InterleaveLower(du8x2, indices8, indices8));
  // TableLookupBytesOr0 operates on bytes. To convert u16 lane indices to byte
  // indices, add 0 to even and 1 to odd byte lanes.
  const Vec128<uint16_t, N> byte_indices = Add(
      indices16,
      Set(du, static_cast<uint16_t>(HWY_IS_LITTLE_ENDIAN ? 0x0100 : 0x0001)));
  return BitCast(d, TableLookupBytesOr0(v, byte_indices));
}

template <typename T, size_t N, HWY_IF_T_SIZE(T, 4)>
HWY_API Vec128<T, N> Expand(Vec128<T, N> v, Mask128<T, N> mask) {
  const DFromV<decltype(v)> d;
  const RebindToUnsigned<decltype(d)> du;

const uint64_t mask_bits = BitsFromMask(d, mask);

alignas(16) static constexpr uint32_t packed_array[16] = {
      // PrintExpand64x4Nibble - same for 32x4.
      0x0000ffff, 0x0000fff0, 0x0000ff0f, 0x0000ff10, 0x0000f0ff, 0x0000f1f0,
      0x0000f10f, 0x0000f210, 0x00000fff, 0x00001ff0, 0x00001f0f, 0x00002f10,
      0x000010ff, 0x000021f0, 0x0000210f, 0x00003210};

// For lane i, shift the i-th 4-bit index down to bits [0, 2).
  const Vec128<uint32_t, N> packed = Set(du, packed_array[mask_bits]);
  alignas(16) static constexpr uint32_t shifts[4] = {0, 4, 8, 12};
  Vec128<uint32_t, N> indices = packed >> Load(du, shifts);
  // AVX2 _mm256_permutexvar_epi32 will ignore upper bits, but IndicesFromVec
  // checks bounds, so clear the upper bits.
  indices = And(indices, Set(du, N - 1));
  const Vec128<uint32_t, N> expand =
      TableLookupLanes(BitCast(du, v), IndicesFromVec(du, indices));
  // TableLookupLanes cannot also zero masked-off lanes, so do that now.
  return IfThenElseZero(mask, BitCast(d, expand));
}

template <typename T, HWY_IF_T_SIZE(T, 8)>
HWY_API Vec128<T> Expand(Vec128<T> v, Mask128<T> mask) {
  // Same as Compress, just zero out the mask=false lanes.
  return IfThenElseZero(mask, Compress(v, mask));
}

// For single-element vectors, this is at least as fast as native.
template <typename T>
HWY_API Vec128<T, 1> Expand(Vec128<T, 1> v, Mask128<T, 1> mask) {
  return IfThenElseZero(mask, v);
}

// ------------------------------ LoadExpand
template <class D, HWY_IF_V_SIZE_LE_D(D, 16)>
HWY_API VFromD<D> LoadExpand(MFromD<D> mask, D d,
                             const TFromD<D>* HWY_RESTRICT unaligned) {
  return Expand(LoadU(d, unaligned), mask);
}

#endif  // HWY_NATIVE_EXPAND

// ------------------------------ TwoTablesLookupLanes

template <class D>
using IndicesFromD = decltype(IndicesFromVec(D(), Zero(RebindToUnsigned<D>())));

// RVV/SVE have their own implementations of
// TwoTablesLookupLanes(D d, VFromD<D> a, VFromD<D> b, IndicesFromD<D> idx)
#if HWY_TARGET != HWY_RVV && !HWY_TARGET_IS_SVE
template <class D>
HWY_API VFromD<D> TwoTablesLookupLanes(D /*d*/, VFromD<D> a, VFromD<D> b,
                                       IndicesFromD<D> idx) {
  return TwoTablesLookupLanes(a, b, idx);
}
#endif

// ------------------------------ Reverse2, Reverse4, Reverse8 (8-bit)

#if (defined(HWY_NATIVE_REVERSE2_8) == defined(HWY_TARGET_TOGGLE)) || HWY_IDE
#ifdef HWY_NATIVE_REVERSE2_8
#undef HWY_NATIVE_REVERSE2_8
#else
#define HWY_NATIVE_REVERSE2_8
#endif

#undef HWY_PREFER_ROTATE
// Platforms on which RotateRight is likely faster than TableLookupBytes.
// RVV and SVE anyway have their own implementation of this.
#if HWY_TARGET == HWY_SSE2 || HWY_TARGET <= HWY_AVX3 || \
    HWY_TARGET == HWY_WASM || HWY_TARGET == HWY_PPC8
#define HWY_PREFER_ROTATE 1
#else
#define HWY_PREFER_ROTATE 0
#endif

template <class D, HWY_IF_T_SIZE_D(D, 1)>
HWY_API VFromD<D> Reverse2(D d, VFromD<D> v) {
  // Exclude AVX3 because its 16-bit RotateRight is actually 3 instructions.
#if HWY_PREFER_ROTATE && HWY_TARGET > HWY_AVX3
  const Repartition<uint16_t, decltype(d)> du16;
  return BitCast(d, RotateRight<8>(BitCast(du16, v)));
#else
  const VFromD<D> shuffle = Dup128VecFromValues(d, 1, 0, 3, 2, 5, 4, 7, 6, 9, 8,
                                                11, 10, 13, 12, 15, 14);
  return TableLookupBytes(v, shuffle);
#endif
}

template <class D, HWY_IF_T_SIZE_D(D, 1)>
HWY_API VFromD<D> Reverse4(D d, VFromD<D> v) {
#if HWY_PREFER_ROTATE
  const Repartition<uint16_t, decltype(d)> du16;
  return BitCast(d, Reverse2(du16, BitCast(du16, Reverse2(d, v))));
#else
  const Repartition<uint8_t, decltype(d)> du8;
  const VFromD<decltype(du8)> shuffle = Dup128VecFromValues(
      du8, 3, 2, 1, 0, 7, 6, 5, 4, 11, 10, 9, 8, 15, 14, 13, 12);
  return TableLookupBytes(v, BitCast(d, shuffle));
#endif
}

template <class D, HWY_IF_T_SIZE_D(D, 1)>
HWY_API VFromD<D> Reverse8(D d, VFromD<D> v) {
#if HWY_PREFER_ROTATE
  const Repartition<uint32_t, D> du32;
  return BitCast(d, Reverse2(du32, BitCast(du32, Reverse4(d, v))));
#else
  const Repartition<uint8_t, decltype(d)> du8;
  const VFromD<decltype(du8)> shuffle = Dup128VecFromValues(
      du8, 7, 6, 5, 4, 3, 2, 1, 0, 15, 14, 13, 12, 11, 10, 9, 8);
  return TableLookupBytes(v, BitCast(d, shuffle));
#endif
}

#endif  // HWY_NATIVE_REVERSE2_8

// ------------------------------ ReverseLaneBytes

#if (defined(HWY_NATIVE_REVERSE_LANE_BYTES) == defined(HWY_TARGET_TOGGLE))
#ifdef HWY_NATIVE_REVERSE_LANE_BYTES
#undef HWY_NATIVE_REVERSE_LANE_BYTES
#else
#define HWY_NATIVE_REVERSE_LANE_BYTES
#endif

template <class V, HWY_IF_T_SIZE_V(V, 2)>
HWY_API V ReverseLaneBytes(V v) {
  const DFromV<V> d;
  const Repartition<uint8_t, decltype(d)> du8;
  return BitCast(d, Reverse2(du8, BitCast(du8, v)));
}

template <class V, HWY_IF_T_SIZE_V(V, 4)>
HWY_API V ReverseLaneBytes(V v) {
  const DFromV<V> d;
  const Repartition<uint8_t, decltype(d)> du8;
  return BitCast(d, Reverse4(du8, BitCast(du8, v)));
}

template <class V, HWY_IF_T_SIZE_V(V, 8)>
HWY_API V ReverseLaneBytes(V v) {
  const DFromV<V> d;
  const Repartition<uint8_t, decltype(d)> du8;
  return BitCast(d, Reverse8(du8, BitCast(du8, v)));
}

#endif  // HWY_NATIVE_REVERSE_LANE_BYTES

// ------------------------------ ReverseBits

// On these targets, we emulate 8-bit shifts using 16-bit shifts and therefore
// require at least two lanes to BitCast to 16-bit. We avoid Highway's 8-bit
// shifts because those would add extra masking already taken care of by
// UI8ReverseBitsStep. Note that AVX3_DL/AVX3_ZEN4 support GFNI and use it to
// implement ReverseBits, so this code is not used there.
#undef HWY_REVERSE_BITS_MIN_BYTES
#if ((HWY_TARGET >= HWY_AVX3 && HWY_TARGET <= HWY_SSE2) || \
     HWY_TARGET == HWY_WASM || HWY_TARGET == HWY_WASM_EMU256)
#define HWY_REVERSE_BITS_MIN_BYTES 2
#else
#define HWY_REVERSE_BITS_MIN_BYTES 1
#endif

#if (defined(HWY_NATIVE_REVERSE_BITS_UI8) == defined(HWY_TARGET_TOGGLE))
#ifdef HWY_NATIVE_REVERSE_BITS_UI8
#undef HWY_NATIVE_REVERSE_BITS_UI8
#else
#define HWY_NATIVE_REVERSE_BITS_UI8
#endif

namespace detail {

template <int kShiftAmt, int kShrResultMask, class V,
          HWY_IF_V_SIZE_GT_D(DFromV<V>, HWY_REVERSE_BITS_MIN_BYTES - 1)>
HWY_INLINE V UI8ReverseBitsStep(V v) {
  const DFromV<decltype(v)> d;
  const RebindToUnsigned<decltype(d)> du;
#if HWY_REVERSE_BITS_MIN_BYTES == 2
  const Repartition<uint16_t, decltype(d)> d_shift;
#else
  const RebindToUnsigned<decltype(d)> d_shift;
#endif

const auto v_to_shift = BitCast(d_shift, v);
  const auto shl_result = BitCast(d, ShiftLeft<kShiftAmt>(v_to_shift));
  const auto shr_result = BitCast(d, ShiftRight<kShiftAmt>(v_to_shift));
  const auto shr_result_mask =
      BitCast(d, Set(du, static_cast<uint8_t>(kShrResultMask)));
  return Or(And(shr_result, shr_result_mask),
            AndNot(shr_result_mask, shl_result));
}

#if HWY_REVERSE_BITS_MIN_BYTES == 2
template <int kShiftAmt, int kShrResultMask, class V,
          HWY_IF_V_SIZE_D(DFromV<V>, 1)>
HWY_INLINE V UI8ReverseBitsStep(V v) {
  return V{UI8ReverseBitsStep<kShiftAmt, kShrResultMask>(Vec128<uint8_t>{v.raw})
               .raw};
}
#endif

}  // namespace detail

template <class V, HWY_IF_T_SIZE_V(V, 1)>
HWY_API V ReverseBits(V v) {
  auto result = detail::UI8ReverseBitsStep<1, 0x55>(v);
  result = detail::UI8ReverseBitsStep<2, 0x33>(result);
  result = detail::UI8ReverseBitsStep<4, 0x0F>(result);
  return result;
}

#endif  // HWY_NATIVE_REVERSE_BITS_UI8

#if (defined(HWY_NATIVE_REVERSE_BITS_UI16_32_64) == defined(HWY_TARGET_TOGGLE))
#ifdef HWY_NATIVE_REVERSE_BITS_UI16_32_64
#undef HWY_NATIVE_REVERSE_BITS_UI16_32_64
#else
#define HWY_NATIVE_REVERSE_BITS_UI16_32_64
#endif

template <class V, HWY_IF_T_SIZE_ONE_OF_V(V, (1 << 2) | (1 << 4) | (1 << 8)),
          HWY_IF_NOT_FLOAT_NOR_SPECIAL_V(V)>
HWY_API V ReverseBits(V v) {
  const DFromV<decltype(v)> d;
  const Repartition<uint8_t, decltype(d)> du8;
  return ReverseLaneBytes(BitCast(d, ReverseBits(BitCast(du8, v))));
}
#endif  // HWY_NATIVE_REVERSE_BITS_UI16_32_64

// ------------------------------ Per4LaneBlockShuffle

#if (defined(HWY_NATIVE_PER4LANEBLKSHUF_DUP32) == defined(HWY_TARGET_TOGGLE))
#ifdef HWY_NATIVE_PER4LANEBLKSHUF_DUP32
#undef HWY_NATIVE_PER4LANEBLKSHUF_DUP32
#else
#define HWY_NATIVE_PER4LANEBLKSHUF_DUP32
#endif

#if HWY_TARGET != HWY_SCALAR || HWY_IDE
namespace detail {

template <class D>
HWY_INLINE Vec<D> Per4LaneBlkShufDupSet4xU32(D d, const uint32_t x3,
                                             const uint32_t x2,
                                             const uint32_t x1,
                                             const uint32_t x0) {
#if HWY_TARGET == HWY_RVV
  constexpr int kPow2 = d.Pow2();
  constexpr int kLoadPow2 = HWY_MAX(kPow2, -1);
  const ScalableTag<uint32_t, kLoadPow2> d_load;
#else
  constexpr size_t kMaxBytes = d.MaxBytes();
#if HWY_TARGET_IS_NEON
  constexpr size_t kMinLanesToLoad = 2;
#else
  constexpr size_t kMinLanesToLoad = 4;
#endif
  constexpr size_t kNumToLoad =
      HWY_MAX(kMaxBytes / sizeof(uint32_t), kMinLanesToLoad);
  const CappedTag<uint32_t, kNumToLoad> d_load;
#endif
  return ResizeBitCast(d, Dup128VecFromValues(d_load, x0, x1, x2, x3));
}

}  // namespace detail
#endif

#endif  // HWY_NATIVE_PER4LANEBLKSHUF_DUP32

#if HWY_TARGET != HWY_SCALAR || HWY_IDE
namespace detail {

template <class V>
HWY_INLINE V Per2LaneBlockShuffle(hwy::SizeTag<0> /*idx_10_tag*/, V v) {
  return DupEven(v);
}

template <class V>
HWY_INLINE V Per2LaneBlockShuffle(hwy::SizeTag<1> /*idx_10_tag*/, V v) {
  const DFromV<decltype(v)> d;
  return Reverse2(d, v);
}

template <class V>
HWY_INLINE V Per2LaneBlockShuffle(hwy::SizeTag<2> /*idx_10_tag*/, V v) {
  return v;
}

template <class V>
HWY_INLINE V Per2LaneBlockShuffle(hwy::SizeTag<3> /*idx_10_tag*/, V v) {
  return DupOdd(v);
}

HWY_INLINE uint32_t U8x4Per4LaneBlkIndices(const uint32_t idx3,
                                           const uint32_t idx2,
                                           const uint32_t idx1,
                                           const uint32_t idx0) {
#if HWY_IS_LITTLE_ENDIAN
  return static_cast<uint32_t>((idx3 << 24) | (idx2 << 16) | (idx1 << 8) |
                               idx0);
#else
  return static_cast<uint32_t>(idx3 | (idx2 << 8) | (idx1 << 16) |
                               (idx0 << 24));
#endif
}

template <class D>
HWY_INLINE Vec<D> TblLookupPer4LaneBlkU8IdxInBlk(D d, const uint32_t idx3,
                                                 const uint32_t idx2,
                                                 const uint32_t idx1,
                                                 const uint32_t idx0) {
#if HWY_TARGET == HWY_RVV
  const AdjustSimdTagToMinVecPow2<Repartition<uint32_t, D>> du32;
#else
  const Repartition<uint32_t, D> du32;
#endif

return ResizeBitCast(
      d, Set(du32, U8x4Per4LaneBlkIndices(idx3, idx2, idx1, idx0)));
}

#if HWY_HAVE_SCALABLE || HWY_TARGET_IS_SVE || HWY_TARGET == HWY_EMU128
#define HWY_PER_4_BLK_TBL_LOOKUP_LANES_ENABLE(D) void* = nullptr
#else
#define HWY_PER_4_BLK_TBL_LOOKUP_LANES_ENABLE(D) HWY_IF_T_SIZE_D(D, 8)

template <class V, HWY_IF_T_SIZE_ONE_OF_V(V, (1 << 1) | (1 << 2) | (1 << 4))>
HWY_INLINE V Per4LaneBlkShufDoTblLookup(V v, V idx) {
  const DFromV<decltype(v)> d;
  const Repartition<uint8_t, decltype(d)> du8;
  return BitCast(d, TableLookupBytes(BitCast(du8, v), BitCast(du8, idx)));
}

template <class D, HWY_IF_T_SIZE_D(D, 1)>
HWY_INLINE Vec<D> TblLookupPer4LaneBlkShufIdx(D d, const uint32_t idx3,
                                              const uint32_t idx2,
                                              const uint32_t idx1,
                                              const uint32_t idx0) {
  const Repartition<uint32_t, decltype(d)> du32;
  const uint32_t idx3210 = U8x4Per4LaneBlkIndices(idx3, idx2, idx1, idx0);
  const auto v_byte_idx = Per4LaneBlkShufDupSet4xU32(
      du32, static_cast<uint32_t>(idx3210 + 0x0C0C0C0C),
      static_cast<uint32_t>(idx3210 + 0x08080808),
      static_cast<uint32_t>(idx3210 + 0x04040404),
      static_cast<uint32_t>(idx3210));
  return ResizeBitCast(d, v_byte_idx);
}

template <class D, HWY_IF_T_SIZE_D(D, 2)>
HWY_INLINE Vec<D> TblLookupPer4LaneBlkShufIdx(D d, const uint32_t idx3,
                                              const uint32_t idx2,
                                              const uint32_t idx1,
                                              const uint32_t idx0) {
  const Repartition<uint32_t, decltype(d)> du32;
#if HWY_IS_LITTLE_ENDIAN
  const uint32_t idx10 = static_cast<uint32_t>((idx1 << 16) | idx0);
  const uint32_t idx32 = static_cast<uint32_t>((idx3 << 16) | idx2);
  constexpr uint32_t kLaneByteOffsets{0x01000100};
#else
  const uint32_t idx10 = static_cast<uint32_t>(idx1 | (idx0 << 16));
  const uint32_t idx32 = static_cast<uint32_t>(idx3 | (idx2 << 16));
  constexpr uint32_t kLaneByteOffsets{0x00010001};
#endif
  constexpr uint32_t kHiLaneByteOffsets{kLaneByteOffsets + 0x08080808u};

const auto v_byte_idx = Per4LaneBlkShufDupSet4xU32(
      du32, static_cast<uint32_t>(idx32 * 0x0202u + kHiLaneByteOffsets),
      static_cast<uint32_t>(idx10 * 0x0202u + kHiLaneByteOffsets),
      static_cast<uint32_t>(idx32 * 0x0202u + kLaneByteOffsets),
      static_cast<uint32_t>(idx10 * 0x0202u + kLaneByteOffsets));
  return ResizeBitCast(d, v_byte_idx);
}

template <class D, HWY_IF_T_SIZE_D(D, 4)>
HWY_INLINE Vec<D> TblLookupPer4LaneBlkShufIdx(D d, const uint32_t idx3,
                                              const uint32_t idx2,
                                              const uint32_t idx1,
                                              const uint32_t idx0) {
  const Repartition<uint32_t, decltype(d)> du32;
#if HWY_IS_LITTLE_ENDIAN
  constexpr uint32_t kLaneByteOffsets{0x03020100};
#else
  constexpr uint32_t kLaneByteOffsets{0x00010203};
#endif

const auto v_byte_idx = Per4LaneBlkShufDupSet4xU32(
      du32, static_cast<uint32_t>(idx3 * 0x04040404u + kLaneByteOffsets),
      static_cast<uint32_t>(idx2 * 0x04040404u + kLaneByteOffsets),
      static_cast<uint32_t>(idx1 * 0x04040404u + kLaneByteOffsets),
      static_cast<uint32_t>(idx0 * 0x04040404u + kLaneByteOffsets));
  return ResizeBitCast(d, v_byte_idx);
}
#endif

template <class D, HWY_IF_T_SIZE_D(D, 1)>
HWY_INLINE VFromD<D> TblLookupPer4LaneBlkIdxInBlk(D d, const uint32_t idx3,
                                                  const uint32_t idx2,
                                                  const uint32_t idx1,
                                                  const uint32_t idx0) {
  return TblLookupPer4LaneBlkU8IdxInBlk(d, idx3, idx2, idx1, idx0);
}

#if HWY_TARGET == HWY_RVV
template <class D, HWY_IF_NOT_T_SIZE_D(D, 1)>
HWY_INLINE VFromD<D> TblLookupPer4LaneBlkIdxInBlk(D d, const uint32_t idx3,
                                                  const uint32_t idx2,
                                                  const uint32_t idx1,
                                                  const uint32_t idx0) {
  const Rebind<uint8_t, decltype(d)> du8;
  return PromoteTo(d,
                   TblLookupPer4LaneBlkU8IdxInBlk(du8, idx3, idx2, idx1, idx0));
}
#else
template <class D, HWY_IF_T_SIZE_D(D, 2)>
HWY_INLINE VFromD<D> TblLookupPer4LaneBlkIdxInBlk(D d, const uint32_t idx3,
                                                  const uint32_t idx2,
                                                  const uint32_t idx1,
                                                  const uint32_t idx0) {
  const uint16_t u16_idx0 = static_cast<uint16_t>(idx0);
  const uint16_t u16_idx1 = static_cast<uint16_t>(idx1);
  const uint16_t u16_idx2 = static_cast<uint16_t>(idx2);
  const uint16_t u16_idx3 = static_cast<uint16_t>(idx3);
#if HWY_TARGET_IS_NEON
  constexpr size_t kMinLanesToLoad = 4;
#else
  constexpr size_t kMinLanesToLoad = 8;
#endif
  constexpr size_t kNumToLoad = HWY_MAX(HWY_MAX_LANES_D(D), kMinLanesToLoad);
  const CappedTag<uint16_t, kNumToLoad> d_load;
  return ResizeBitCast(
      d, Dup128VecFromValues(d_load, u16_idx0, u16_idx1, u16_idx2, u16_idx3,
                             u16_idx0, u16_idx1, u16_idx2, u16_idx3));
}

template <class D, HWY_IF_T_SIZE_D(D, 4)>
HWY_INLINE VFromD<D> TblLookupPer4LaneBlkIdxInBlk(D d, const uint32_t idx3,
                                                  const uint32_t idx2,
                                                  const uint32_t idx1,
                                                  const uint32_t idx0) {
  return Per4LaneBlkShufDupSet4xU32(d, idx3, idx2, idx1, idx0);
}

template <class D, HWY_IF_T_SIZE_D(D, 8)>
HWY_INLINE VFromD<D> TblLookupPer4LaneBlkIdxInBlk(D d, const uint32_t idx3,
                                                  const uint32_t idx2,
                                                  const uint32_t idx1,
                                                  const uint32_t idx0) {
  const RebindToUnsigned<decltype(d)> du;
  const Rebind<uint32_t, decltype(d)> du32;
  return BitCast(d, PromoteTo(du, Per4LaneBlkShufDupSet4xU32(du32, idx3, idx2,
                                                             idx1, idx0)));
}
#endif

template <class D, HWY_PER_4_BLK_TBL_LOOKUP_LANES_ENABLE(D)>
HWY_INLINE IndicesFromD<D> TblLookupPer4LaneBlkShufIdx(D d, const uint32_t idx3,
                                                       const uint32_t idx2,
                                                       const uint32_t idx1,
                                                       const uint32_t idx0) {
  const RebindToUnsigned<decltype(d)> du;
  using TU = TFromD<decltype(du)>;
  auto idx_in_blk = TblLookupPer4LaneBlkIdxInBlk(du, idx3, idx2, idx1, idx0);

constexpr size_t kN = HWY_MAX_LANES_D(D);
  if (kN < 4) {
    idx_in_blk = And(idx_in_blk, Set(du, static_cast<TU>(kN - 1)));
  }

#if HWY_TARGET == HWY_RVV
  const auto blk_offsets = AndS(Iota0(du), static_cast<TU>(~TU{3}));
#else
  const auto blk_offsets =
      And(Iota(du, TU{0}), Set(du, static_cast<TU>(~TU{3})));
#endif
  return IndicesFromVec(d, Add(idx_in_blk, blk_offsets));
}

template <class V, HWY_PER_4_BLK_TBL_LOOKUP_LANES_ENABLE(DFromV<V>)>
HWY_INLINE V Per4LaneBlkShufDoTblLookup(V v, IndicesFromD<DFromV<V>> idx) {
  return TableLookupLanes(v, idx);
}

#undef HWY_PER_4_BLK_TBL_LOOKUP_LANES_ENABLE

template <class V>
HWY_INLINE V TblLookupPer4LaneBlkShuf(V v, size_t idx3210) {
  const DFromV<decltype(v)> d;
  const uint32_t idx3 = static_cast<uint32_t>((idx3210 >> 6) & 3);
  const uint32_t idx2 = static_cast<uint32_t>((idx3210 >> 4) & 3);
  const uint32_t idx1 = static_cast<uint32_t>((idx3210 >> 2) & 3);
  const uint32_t idx0 = static_cast<uint32_t>(idx3210 & 3);
  const auto idx = TblLookupPer4LaneBlkShufIdx(d, idx3, idx2, idx1, idx0);
  return Per4LaneBlkShufDoTblLookup(v, idx);
}

// The detail::Per4LaneBlockShuffle overloads that have the extra lane_size_tag
// and vect_size_tag parameters are only called for vectors that have at
// least 4 lanes (or scalable vectors that might possibly have 4 or more lanes)
template <size_t kIdx3210, size_t kLaneSize, size_t kVectSize, class V>
HWY_INLINE V Per4LaneBlockShuffle(hwy::SizeTag<kIdx3210> /*idx_3210_tag*/,
                                  hwy::SizeTag<kLaneSize> /*lane_size_tag*/,
                                  hwy::SizeTag<kVectSize> /*vect_size_tag*/,
                                  V v) {
  return TblLookupPer4LaneBlkShuf(v, kIdx3210);
}

#if HWY_HAVE_FLOAT64
template <class V>
HWY_INLINE VFromD<RepartitionToWide<DFromV<V>>> Per4LaneBlockShufCastToWide(
    hwy::FloatTag /* type_tag */, hwy::SizeTag<4> /* lane_size_tag */, V v) {
  const DFromV<decltype(v)> d;
  const RepartitionToWide<decltype(d)> dw;
  return BitCast(dw, v);
}
#endif

template <size_t kLaneSize, class V>
HWY_INLINE VFromD<RepartitionToWide<RebindToUnsigned<DFromV<V>>>>
Per4LaneBlockShufCastToWide(hwy::FloatTag /* type_tag */,
                            hwy::SizeTag<kLaneSize> /* lane_size_tag */, V v) {
  const DFromV<decltype(v)> d;
  const RebindToUnsigned<decltype(d)> du;
  const RepartitionToWide<decltype(du)> dw;
  return BitCast(dw, v);
}

template <size_t kLaneSize, class V>
HWY_INLINE VFromD<RepartitionToWide<DFromV<V>>> Per4LaneBlockShufCastToWide(
    hwy::NonFloatTag /* type_tag */,
    hwy::SizeTag<kLaneSize> /* lane_size_tag */, V v) {
  const DFromV<decltype(v)> d;
  const RepartitionToWide<decltype(d)> dw;
  return BitCast(dw, v);
}

template <class V>
HWY_INLINE V Per4LaneBlockShuffle(hwy::SizeTag<0x1B> /*idx_3210_tag*/, V v) {
  const DFromV<decltype(v)> d;
  return Reverse4(d, v);
}

template <class V,
          HWY_IF_T_SIZE_ONE_OF_V(V, (1 << 1) | (1 << 2) |
                                        (HWY_HAVE_INTEGER64 ? (1 << 4) : 0))>
HWY_INLINE V Per4LaneBlockShuffle(hwy::SizeTag<0x44> /*idx_3210_tag*/, V v) {
  const DFromV<decltype(v)> d;
  const auto vw = Per4LaneBlockShufCastToWide(
      hwy::IsFloatTag<TFromV<V>>(), hwy::SizeTag<sizeof(TFromV<V>)>(), v);
  return BitCast(d, DupEven(vw));
}

template <class V,
          HWY_IF_T_SIZE_ONE_OF_V(V, (1 << 1) | (1 << 2) |
                                        (HWY_HAVE_INTEGER64 ? (1 << 4) : 0))>
HWY_INLINE V Per4LaneBlockShuffle(hwy::SizeTag<0x4E> /*idx_3210_tag*/, V v) {
  const DFromV<decltype(v)> d;
  const auto vw = Per4LaneBlockShufCastToWide(
      hwy::IsFloatTag<TFromV<V>>(), hwy::SizeTag<sizeof(TFromV<V>)>(), v);
  const DFromV<decltype(vw)> dw;
  return BitCast(d, Reverse2(dw, vw));
}

#if HWY_MAX_BYTES >= 32
template <class V, HWY_IF_T_SIZE_V(V, 8)>
HWY_INLINE V Per4LaneBlockShuffle(hwy::SizeTag<0x4E> /*idx_3210_tag*/, V v) {
  return SwapAdjacentBlocks(v);
}
#endif

template <class V, HWY_IF_LANES_D(DFromV<V>, 4),
          HWY_IF_T_SIZE_ONE_OF_V(V, (1 << 1) | (1 << 2))>
HWY_INLINE V Per4LaneBlockShuffle(hwy::SizeTag<0x50> /*idx_3210_tag*/, V v) {
  const DFromV<decltype(v)> d;
  return InterleaveLower(d, v, v);
}

template <class V, HWY_IF_T_SIZE_V(V, 4)>
HWY_INLINE V Per4LaneBlockShuffle(hwy::SizeTag<0x50> /*idx_3210_tag*/, V v) {
  const DFromV<decltype(v)> d;
  return InterleaveLower(d, v, v);
}

template <class V, HWY_IF_LANES_D(DFromV<V>, 4)>
HWY_INLINE V Per4LaneBlockShuffle(hwy::SizeTag<0x88> /*idx_3210_tag*/, V v) {
  const DFromV<decltype(v)> d;
  return ConcatEven(d, v, v);
}

template <class V>
HWY_INLINE V Per4LaneBlockShuffle(hwy::SizeTag<0xA0> /*idx_3210_tag*/, V v) {
  return DupEven(v);
}

template <class V>
HWY_INLINE V Per4LaneBlockShuffle(hwy::SizeTag<0xB1> /*idx_3210_tag*/, V v) {
  const DFromV<decltype(v)> d;
  return Reverse2(d, v);
}

template <class V, HWY_IF_LANES_D(DFromV<V>, 4)>
HWY_INLINE V Per4LaneBlockShuffle(hwy::SizeTag<0xDD> /*idx_3210_tag*/, V v) {
  const DFromV<decltype(v)> d;
  return ConcatOdd(d, v, v);
}

template <class V>
HWY_INLINE V Per4LaneBlockShuffle(hwy::SizeTag<0xE4> /*idx_3210_tag*/, V v) {
  return v;
}

template <class V,
          HWY_IF_T_SIZE_ONE_OF_V(V, (1 << 1) | (1 << 2) |
                                        (HWY_HAVE_INTEGER64 ? (1 << 4) : 0))>
HWY_INLINE V Per4LaneBlockShuffle(hwy::SizeTag<0xEE> /*idx_3210_tag*/, V v) {
  const DFromV<decltype(v)> d;
  const auto vw = Per4LaneBlockShufCastToWide(
      hwy::IsFloatTag<TFromV<V>>(), hwy::SizeTag<sizeof(TFromV<V>)>(), v);
  return BitCast(d, DupOdd(vw));
}

template <class V>
HWY_INLINE V Per4LaneBlockShuffle(hwy::SizeTag<0xF5> /*idx_3210_tag*/, V v) {
  return DupOdd(v);
}

template <class V, HWY_IF_T_SIZE_V(V, 4)>
HWY_INLINE V Per4LaneBlockShuffle(hwy::SizeTag<0xFA> /*idx_3210_tag*/, V v) {
  const DFromV<decltype(v)> d;
  return InterleaveUpper(d, v, v);
}

template <size_t kIdx3210, class V>
HWY_INLINE V Per4LaneBlockShuffle(hwy::SizeTag<kIdx3210> idx_3210_tag, V v) {
  const DFromV<decltype(v)> d;
  return Per4LaneBlockShuffle(idx_3210_tag, hwy::SizeTag<sizeof(TFromV<V>)>(),
                              hwy::SizeTag<d.MaxBytes()>(), v);
}

}  // namespace detail
#endif  // HWY_TARGET != HWY_SCALAR

template <size_t kIdx3, size_t kIdx2, size_t kIdx1, size_t kIdx0, class V,
          HWY_IF_LANES_D(DFromV<V>, 1)>
HWY_API V Per4LaneBlockShuffle(V v) {
  static_assert(kIdx0 <= 3, "kIdx0 <= 3 must be true");
  static_assert(kIdx1 <= 3, "kIdx1 <= 3 must be true");
  static_assert(kIdx2 <= 3, "kIdx2 <= 3 must be true");
  static_assert(kIdx3 <= 3, "kIdx3 <= 3 must be true");

return v;
}

#if HWY_TARGET != HWY_SCALAR || HWY_IDE
template <size_t kIdx3, size_t kIdx2, size_t kIdx1, size_t kIdx0, class V,
          HWY_IF_LANES_D(DFromV<V>, 2)>
HWY_API V Per4LaneBlockShuffle(V v) {
  static_assert(kIdx0 <= 3, "kIdx0 <= 3 must be true");
  static_assert(kIdx1 <= 3, "kIdx1 <= 3 must be true");
  static_assert(kIdx2 <= 3, "kIdx2 <= 3 must be true");
  static_assert(kIdx3 <= 3, "kIdx3 <= 3 must be true");

constexpr bool isReverse2 = (kIdx0 == 1 || kIdx1 == 0) && (kIdx0 != kIdx1);
  constexpr size_t kPer2BlkIdx0 = (kIdx0 <= 1) ? kIdx0 : (isReverse2 ? 1 : 0);
  constexpr size_t kPer2BlkIdx1 = (kIdx1 <= 1) ? kIdx1 : (isReverse2 ? 0 : 1);

constexpr size_t kIdx10 = (kPer2BlkIdx1 << 1) | kPer2BlkIdx0;
  static_assert(kIdx10 <= 3, "kIdx10 <= 3 must be true");
  return detail::Per2LaneBlockShuffle(hwy::SizeTag<kIdx10>(), v);
}

template <size_t kIdx3, size_t kIdx2, size_t kIdx1, size_t kIdx0, class V,
          HWY_IF_LANES_GT_D(DFromV<V>, 2)>
HWY_API V Per4LaneBlockShuffle(V v) {
  static_assert(kIdx0 <= 3, "kIdx0 <= 3 must be true");
  static_assert(kIdx1 <= 3, "kIdx1 <= 3 must be true");
  static_assert(kIdx2 <= 3, "kIdx2 <= 3 must be true");
  static_assert(kIdx3 <= 3, "kIdx3 <= 3 must be true");

constexpr size_t kIdx3210 =
      (kIdx3 << 6) | (kIdx2 << 4) | (kIdx1 << 2) | kIdx0;
  return detail::Per4LaneBlockShuffle(hwy::SizeTag<kIdx3210>(), v);
}
#endif

// ------------------------------ PairwiseAdd128/PairwiseSub128
//                                (Per4LaneBlockShuffle)
#if (defined(HWY_NATIVE_PAIRWISE_ADD_128) == defined(HWY_TARGET_TOGGLE))
#ifdef HWY_NATIVE_PAIRWISE_ADD_128
#undef HWY_NATIVE_PAIRWISE_ADD_128
#else
#define HWY_NATIVE_PAIRWISE_ADD_128
#endif

namespace detail {

// detail::BlockwiseConcatOddEven(d, v) returns the even lanes of each block of
// v followed by the odd lanes of v
#if HWY_TARGET_IS_NEON || HWY_TARGET_IS_SVE || HWY_TARGET == HWY_RVV || \
    HWY_TARGET == HWY_LSX || HWY_TARGET == HWY_LASX
template <class D, HWY_IF_T_SIZE_ONE_OF_D(D, (1 << 1) | (1 << 2) | (1 << 4)),
          HWY_IF_V_SIZE_GT_D(D, 8)>
static HWY_INLINE HWY_MAYBE_UNUSED Vec<D> BlockwiseConcatOddEven(D d,
                                                                 Vec<D> v) {
#if HWY_TARGET == HWY_RVV
  const ScalableTag<uint64_t, HWY_MAX(HWY_POW2_D(D), 0)> du64;
#else
  const Repartition<uint64_t, DFromV<decltype(v)>> du64;
#endif

const Repartition<TFromD<decltype(d)>, decltype(du64)> d_concat;
  const auto v_to_concat = ResizeBitCast(d_concat, v);

const auto evens = ConcatEven(d, v_to_concat, v_to_concat);
  const auto odds = ConcatOdd(d, v_to_concat, v_to_concat);
  return ResizeBitCast(
      d, InterleaveWholeLower(BitCast(du64, evens), BitCast(du64, odds)));
}

#else  // !(HWY_TARGET_IS_NEON || HWY_TARGET_IS_SVE || HWY_TARGET == HWY_RVV)

template <class D, HWY_IF_T_SIZE_D(D, 1), HWY_IF_V_SIZE_GT_D(D, 8)>
static HWY_INLINE HWY_MAYBE_UNUSED Vec<D> BlockwiseConcatOddEven(D d,
                                                                 Vec<D> v) {
#if HWY_TARGET == HWY_SSE2
  const RebindToUnsigned<decltype(d)> du;
  const RebindToSigned<RepartitionToWide<decltype(du)>> dw;

const auto vu = BitCast(du, v);
  return BitCast(
      d, OrderedDemote2To(du, PromoteEvenTo(dw, vu), PromoteOddTo(dw, vu)));
#else
  const Repartition<uint8_t, decltype(d)> du8;
  const auto idx =
      BitCast(d, Dup128VecFromValues(du8, 0, 2, 4, 6, 8, 10, 12, 14, 1, 3, 5, 7,
                                     9, 11, 13, 15));
  return TableLookupBytes(v, idx);
#endif
}

template <class D, HWY_IF_T_SIZE_D(D, 2), HWY_IF_V_SIZE_GT_D(D, 8)>
static HWY_INLINE HWY_MAYBE_UNUSED Vec<D> BlockwiseConcatOddEven(D d,
                                                                 Vec<D> v) {
#if HWY_TARGET == HWY_SSE2
  const RebindToSigned<decltype(d)> di;
  const RepartitionToWide<decltype(di)> dw;
  const auto vi = BitCast(di, v);
  return BitCast(
      d, OrderedDemote2To(di, PromoteEvenTo(dw, vi), PromoteOddTo(dw, vi)));
#else
  const Repartition<uint8_t, decltype(d)> du8;
  const auto idx = BitCast(d, Dup128VecFromValues(du8, 0, 1, 4, 5, 8, 9, 12, 13,
                                                  2, 3, 6, 7, 10, 11, 14, 15));
  return TableLookupBytes(v, idx);
#endif
}

template <class D, HWY_IF_T_SIZE_D(D, 4), HWY_IF_V_SIZE_GT_D(D, 8)>
static HWY_INLINE HWY_MAYBE_UNUSED Vec<D> BlockwiseConcatOddEven(D /*d*/,
                                                                 Vec<D> v) {
  return Per4LaneBlockShuffle<3, 1, 2, 0>(v);
}
#endif  // HWY_TARGET_IS_NEON || HWY_TARGET_IS_SVE || HWY_TARGET == HWY_RVV

template <class D, HWY_IF_T_SIZE_D(D, 8), HWY_IF_V_SIZE_GT_D(D, 8)>
static HWY_INLINE HWY_MAYBE_UNUSED Vec<D> BlockwiseConcatOddEven(D /*d*/,
                                                                 Vec<D> v) {
  return v;
}

}  // namespace detail

// Pairwise add with output in 128 bit blocks of a and b.
template <class D, HWY_IF_PAIRWISE_ADD_128_D(D)>
HWY_API Vec<D> PairwiseAdd128(D d, Vec<D> a, Vec<D> b) {
  return detail::BlockwiseConcatOddEven(d, PairwiseAdd(d, a, b));
}

// Pairwise sub with output in 128 bit blocks of a and b.
template <class D, HWY_IF_PAIRWISE_SUB_128_D(D)>
HWY_API Vec<D> PairwiseSub128(D d, Vec<D> a, Vec<D> b) {
  return detail::BlockwiseConcatOddEven(d, PairwiseSub(d, a, b));
}

#endif

// ------------------------------ Blocks

template <class D>
HWY_API size_t Blocks(D d) {
  return (d.MaxBytes() <= 16) ? 1 : ((Lanes(d) * sizeof(TFromD<D>) + 15) / 16);
}

// ------------------------------ Block insert/extract/broadcast ops
#if (defined(HWY_NATIVE_BLK_INSERT_EXTRACT) == defined(HWY_TARGET_TOGGLE))
#ifdef HWY_NATIVE_BLK_INSERT_EXTRACT
#undef HWY_NATIVE_BLK_INSERT_EXTRACT
#else
#define HWY_NATIVE_BLK_INSERT_EXTRACT
#endif

template <int kBlockIdx, class V, HWY_IF_V_SIZE_LE_V(V, 16)>
HWY_API V InsertBlock(V /*v*/, V blk_to_insert) {
  static_assert(kBlockIdx == 0, "Invalid block index");
  return blk_to_insert;
}

template <int kBlockIdx, class V, HWY_IF_V_SIZE_LE_V(V, 16)>
HWY_API V ExtractBlock(V v) {
  static_assert(kBlockIdx == 0, "Invalid block index");
  return v;
}

template <int kBlockIdx, class V, HWY_IF_V_SIZE_LE_V(V, 16)>
HWY_API V BroadcastBlock(V v) {
  static_assert(kBlockIdx == 0, "Invalid block index");
  return v;
}

#endif  // HWY_NATIVE_BLK_INSERT_EXTRACT

// ------------------------------ BroadcastLane
#if (defined(HWY_NATIVE_BROADCASTLANE) == defined(HWY_TARGET_TOGGLE))
#ifdef HWY_NATIVE_BROADCASTLANE
#undef HWY_NATIVE_BROADCASTLANE
#else
#define HWY_NATIVE_BROADCASTLANE
#endif

template <int kLane, class V, HWY_IF_V_SIZE_LE_V(V, 16)>
HWY_API V BroadcastLane(V v) {
  return Broadcast<kLane>(v);
}

#endif  // HWY_NATIVE_BROADCASTLANE

// ------------------------------ Slide1Up and Slide1Down
#if (defined(HWY_NATIVE_SLIDE1_UP_DOWN) == defined(HWY_TARGET_TOGGLE))
#ifdef HWY_NATIVE_SLIDE1_UP_DOWN
#undef HWY_NATIVE_SLIDE1_UP_DOWN
#else
#define HWY_NATIVE_SLIDE1_UP_DOWN
#endif

template <class D, HWY_IF_LANES_D(D, 1)>
HWY_API VFromD<D> Slide1Up(D d, VFromD<D> /*v*/) {
  return Zero(d);
}
template <class D, HWY_IF_LANES_D(D, 1)>
HWY_API VFromD<D> Slide1Down(D d, VFromD<D> /*v*/) {
  return Zero(d);
}

#if HWY_TARGET != HWY_SCALAR || HWY_IDE
template <class D, HWY_IF_V_SIZE_LE_D(D, 16), HWY_IF_LANES_GT_D(D, 1)>
HWY_API VFromD<D> Slide1Up(D d, VFromD<D> v) {
  return ShiftLeftLanes<1>(d, v);
}
template <class D, HWY_IF_V_SIZE_LE_D(D, 16), HWY_IF_LANES_GT_D(D, 1)>
HWY_API VFromD<D> Slide1Down(D d, VFromD<D> v) {
  return ShiftRightLanes<1>(d, v);
}
#endif  // HWY_TARGET != HWY_SCALAR

#endif  // HWY_NATIVE_SLIDE1_UP_DOWN

// ------------------------------ SlideUpBlocks

template <int kBlocks, class D, HWY_IF_V_SIZE_LE_D(D, 16)>
HWY_API VFromD<D> SlideUpBlocks(D /*d*/, VFromD<D> v) {
  static_assert(kBlocks == 0, "kBlocks == 0 must be true");
  return v;
}

#if HWY_HAVE_SCALABLE || HWY_TARGET == HWY_SVE_256
template <int kBlocks, class D, HWY_IF_V_SIZE_GT_D(D, 16)>
HWY_API VFromD<D> SlideUpBlocks(D d, VFromD<D> v) {
  static_assert(0 <= kBlocks && static_cast<size_t>(kBlocks) < d.MaxBlocks(),
                "kBlocks must be between 0 and d.MaxBlocks() - 1");
  constexpr size_t kLanesPerBlock = 16 / sizeof(TFromD<D>);
  return SlideUpLanes(d, v, static_cast<size_t>(kBlocks) * kLanesPerBlock);
}
#endif

// ------------------------------ SlideDownBlocks

template <int kBlocks, class D, HWY_IF_V_SIZE_LE_D(D, 16)>
HWY_API VFromD<D> SlideDownBlocks(D /*d*/, VFromD<D> v) {
  static_assert(kBlocks == 0, "kBlocks == 0 must be true");
  return v;
}

#if HWY_HAVE_SCALABLE || HWY_TARGET == HWY_SVE_256
template <int kBlocks, class D, HWY_IF_V_SIZE_GT_D(D, 16)>
HWY_API VFromD<D> SlideDownBlocks(D d, VFromD<D> v) {
  static_assert(0 <= kBlocks && static_cast<size_t>(kBlocks) < d.MaxBlocks(),
                "kBlocks must be between 0 and d.MaxBlocks() - 1");
  constexpr size_t kLanesPerBlock = 16 / sizeof(TFromD<D>);
  return SlideDownLanes(d, v, static_cast<size_t>(kBlocks) * kLanesPerBlock);
}
#endif

// ------------------------------ Slide mask up/down
#if (defined(HWY_NATIVE_SLIDE_MASK) == defined(HWY_TARGET_TOGGLE))

#ifdef HWY_NATIVE_SLIDE_MASK
#undef HWY_NATIVE_SLIDE_MASK
#else
#define HWY_NATIVE_SLIDE_MASK
#endif

template <class D>
HWY_API Mask<D> SlideMask1Up(D d, Mask<D> m) {
  return MaskFromVec(Slide1Up(d, VecFromMask(d, m)));
}

template <class D>
HWY_API Mask<D> SlideMask1Down(D d, Mask<D> m) {
  return MaskFromVec(Slide1Down(d, VecFromMask(d, m)));
}

template <class D>
HWY_API Mask<D> SlideMaskUpLanes(D d, Mask<D> m, size_t amt) {
  return MaskFromVec(SlideUpLanes(d, VecFromMask(d, m), amt));
}

template <class D>
HWY_API Mask<D> SlideMaskDownLanes(D d, Mask<D> m, size_t amt) {
  return MaskFromVec(SlideDownLanes(d, VecFromMask(d, m), amt));
}

#endif  // HWY_NATIVE_SLIDE_MASK

// ------------------------------ SumsOfAdjQuadAbsDiff

#if (defined(HWY_NATIVE_SUMS_OF_ADJ_QUAD_ABS_DIFF) == \
     defined(HWY_TARGET_TOGGLE))
#ifdef HWY_NATIVE_SUMS_OF_ADJ_QUAD_ABS_DIFF
#undef HWY_NATIVE_SUMS_OF_ADJ_QUAD_ABS_DIFF
#else
#define HWY_NATIVE_SUMS_OF_ADJ_QUAD_ABS_DIFF
#endif

#if HWY_TARGET != HWY_SCALAR || HWY_IDE
template <int kAOffset, int kBOffset, class V8, HWY_IF_UI8_D(DFromV<V8>)>
HWY_API Vec<RepartitionToWide<DFromV<V8>>> SumsOfAdjQuadAbsDiff(V8 a, V8 b) {
  static_assert(0 <= kAOffset && kAOffset <= 1,
                "kAOffset must be between 0 and 1");
  static_assert(0 <= kBOffset && kBOffset <= 3,
                "kBOffset must be between 0 and 3");
  using D8 = DFromV<V8>;
  const D8 d8;
  const RebindToUnsigned<decltype(d8)> du8;
  const RepartitionToWide<decltype(d8)> d16;
  const RepartitionToWide<decltype(du8)> du16;

// Ensure that a is resized to a vector that has at least
  // HWY_MAX(Lanes(d8), size_t{8} << kAOffset) lanes for the interleave and
  // CombineShiftRightBytes operations below.
#if HWY_TARGET == HWY_RVV
  // On RVV targets, need to ensure that d8_interleave.Pow2() >= 0 is true
  // to ensure that Lanes(d8_interleave) >= 16 is true.

// Lanes(d8_interleave) >= Lanes(d8) is guaranteed to be true on RVV
  // targets as d8_interleave.Pow2() >= d8.Pow2() is true.
  constexpr int kInterleavePow2 = HWY_MAX(d8.Pow2(), 0);
  const ScalableTag<TFromD<D8>, kInterleavePow2> d8_interleave;
#elif HWY_HAVE_SCALABLE || HWY_TARGET_IS_SVE
  // On SVE targets, Lanes(d8_interleave) >= 16 and
  // Lanes(d8_interleave) >= Lanes(d8) are both already true as d8 is a SIMD
  // tag for a full u8/i8 vector on SVE.
  const D8 d8_interleave;
#else
  // On targets that use non-scalable vector types, Lanes(d8_interleave) is
  // equal to HWY_MAX(Lanes(d8), size_t{8} << kAOffset).
  constexpr size_t kInterleaveLanes =
      HWY_MAX(HWY_MAX_LANES_D(D8), size_t{8} << kAOffset);
  const FixedTag<TFromD<D8>, kInterleaveLanes> d8_interleave;
#endif

// The ResizeBitCast operation below will resize a to a vector that has
  // at least HWY_MAX(Lanes(d8), size_t{8} << kAOffset) lanes for the
  // InterleaveLower, InterleaveUpper, and CombineShiftRightBytes operations
  // below.
  const auto a_to_interleave = ResizeBitCast(d8_interleave, a);

const auto a_interleaved_lo =
      InterleaveLower(d8_interleave, a_to_interleave, a_to_interleave);
  const auto a_interleaved_hi =
      InterleaveUpper(d8_interleave, a_to_interleave, a_to_interleave);

/* a01: { a[kAOffset*4+0], a[kAOffset*4+1], a[kAOffset*4+1], a[kAOffset*4+2],
            a[kAOffset*4+2], a[kAOffset*4+3], a[kAOffset*4+3], a[kAOffset*4+4],
            a[kAOffset*4+4], a[kAOffset*4+5], a[kAOffset*4+5], a[kAOffset*4+6],
            a[kAOffset*4+6], a[kAOffset*4+7], a[kAOffset*4+7], a[kAOffset*4+8] }
   */
  /* a23: { a[kAOffset*4+2], a[kAOffset*4+3], a[kAOffset*4+3], a[kAOffset*4+4],
            a[kAOffset*4+4], a[kAOffset*4+5], a[kAOffset*4+5], a[kAOffset*4+6],
            a[kAOffset*4+6], a[kAOffset*4+7], a[kAOffset*4+7], a[kAOffset*4+8],
            a[kAOffset*4+8], a[kAOffset*4+9], a[kAOffset*4+9], a[kAOffset*4+10]
     } */

// a01 and a23 are resized back to V8 as only the first Lanes(d8) lanes of
  // the CombineShiftRightBytes are needed for the subsequent AbsDiff operations
  // and as a01 and a23 need to be the same vector type as b01 and b23 for the
  // AbsDiff operations below.
  const V8 a01 =
      ResizeBitCast(d8, CombineShiftRightBytes<kAOffset * 8 + 1>(
                            d8_interleave, a_interleaved_hi, a_interleaved_lo));
  const V8 a23 =
      ResizeBitCast(d8, CombineShiftRightBytes<kAOffset * 8 + 5>(
                            d8_interleave, a_interleaved_hi, a_interleaved_lo));

/* b01: { b[kBOffset*4+0], b[kBOffset*4+1], b[kBOffset*4+0], b[kBOffset*4+1],
            b[kBOffset*4+0], b[kBOffset*4+1], b[kBOffset*4+0], b[kBOffset*4+1],
            b[kBOffset*4+0], b[kBOffset*4+1], b[kBOffset*4+0], b[kBOffset*4+1],
            b[kBOffset*4+0], b[kBOffset*4+1], b[kBOffset*4+0], b[kBOffset*4+1] }
   */
  /* b23: { b[kBOffset*4+2], b[kBOffset*4+3], b[kBOffset*4+2], b[kBOffset*4+3],
            b[kBOffset*4+2], b[kBOffset*4+3], b[kBOffset*4+2], b[kBOffset*4+3],
            b[kBOffset*4+2], b[kBOffset*4+3], b[kBOffset*4+2], b[kBOffset*4+3],
            b[kBOffset*4+2], b[kBOffset*4+3], b[kBOffset*4+2], b[kBOffset*4+3] }
   */
  const V8 b01 = BitCast(d8, Broadcast<kBOffset * 2>(BitCast(d16, b)));
  const V8 b23 = BitCast(d8, Broadcast<kBOffset * 2 + 1>(BitCast(d16, b)));

const VFromD<decltype(du16)> absdiff_sum_01 =
      SumsOf2(BitCast(du8, AbsDiff(a01, b01)));
  const VFromD<decltype(du16)> absdiff_sum_23 =
      SumsOf2(BitCast(du8, AbsDiff(a23, b23)));
  return BitCast(d16, Add(absdiff_sum_01, absdiff_sum_23));
}
#endif  // HWY_TARGET != HWY_SCALAR

#endif  // HWY_NATIVE_SUMS_OF_ADJ_QUAD_ABS_DIFF

// ------------------------------ SumsOfShuffledQuadAbsDiff

#if (defined(HWY_NATIVE_SUMS_OF_SHUFFLED_QUAD_ABS_DIFF) == \
     defined(HWY_TARGET_TOGGLE))
#ifdef HWY_NATIVE_SUMS_OF_SHUFFLED_QUAD_ABS_DIFF
#undef HWY_NATIVE_SUMS_OF_SHUFFLED_QUAD_ABS_DIFF
#else
#define HWY_NATIVE_SUMS_OF_SHUFFLED_QUAD_ABS_DIFF
#endif

#if HWY_TARGET != HWY_SCALAR || HWY_IDE
template <int kIdx3, int kIdx2, int kIdx1, int kIdx0, class V8,
          HWY_IF_UI8_D(DFromV<V8>)>
HWY_API Vec<RepartitionToWide<DFromV<V8>>> SumsOfShuffledQuadAbsDiff(V8 a,
                                                                     V8 b) {
  static_assert(0 <= kIdx0 && kIdx0 <= 3, "kIdx0 must be between 0 and 3");
  static_assert(0 <= kIdx1 && kIdx1 <= 3, "kIdx1 must be between 0 and 3");
  static_assert(0 <= kIdx2 && kIdx2 <= 3, "kIdx2 must be between 0 and 3");
  static_assert(0 <= kIdx3 && kIdx3 <= 3, "kIdx3 must be between 0 and 3");

#if HWY_TARGET == HWY_RVV
  // On RVV, ensure that both vA and vB have a LMUL of at least 1/2 so that
  // both vA and vB can be bitcasted to a u32 vector.
  const detail::AdjustSimdTagToMinVecPow2<
      RepartitionToWideX2<DFromV<decltype(a)>>>
      d32;
  const RepartitionToNarrow<decltype(d32)> d16;
  const RepartitionToNarrow<decltype(d16)> d8;

const auto vA = ResizeBitCast(d8, a);
  const auto vB = ResizeBitCast(d8, b);
#else
  const DFromV<decltype(a)> d8;
  const RepartitionToWide<decltype(d8)> d16;
  const RepartitionToWide<decltype(d16)> d32;

const auto vA = a;
  const auto vB = b;
#endif

const RebindToUnsigned<decltype(d8)> du8;

const auto a_shuf =
      Per4LaneBlockShuffle<kIdx3, kIdx2, kIdx1, kIdx0>(BitCast(d32, vA));
  /* a0123_2345: { a_shuf[0], a_shuf[1], a_shuf[2], a_shuf[3],
                   a_shuf[2], a_shuf[3], a_shuf[4], a_shuf[5],
                   a_shuf[8], a_shuf[9], a_shuf[10], a_shuf[11],
                   a_shuf[10], a_shuf[11], a_shuf[12], a_shuf[13] } */
  /* a1234_3456: { a_shuf[1], a_shuf[2], a_shuf[3], a_shuf[4],
                   a_shuf[3], a_shuf[4], a_shuf[5], a_shuf[6],
                   a_shuf[9], a_shuf[10], a_shuf[11], a_shuf[12],
                   a_shuf[11], a_shuf[12], a_shuf[13], a_shuf[14] } */
#if HWY_HAVE_SCALABLE || HWY_TARGET_IS_SVE
  // On RVV/SVE targets, use Slide1Up/Slide1Down instead of
  // ShiftLeftBytes/ShiftRightBytes to avoid unnecessary zeroing out of any
  // lanes that are shifted into an adjacent 16-byte block as any lanes that are
  // shifted into an adjacent 16-byte block by Slide1Up/Slide1Down will be
  // replaced by the OddEven operation.
  const auto a_0123_2345 = BitCast(
      d8, OddEven(BitCast(d32, Slide1Up(d16, BitCast(d16, a_shuf))), a_shuf));
  const auto a_1234_3456 =
      BitCast(d8, OddEven(BitCast(d32, Slide1Up(d8, BitCast(d8, a_shuf))),
                          BitCast(d32, Slide1Down(d8, BitCast(d8, a_shuf)))));
#else
  const auto a_0123_2345 =
      BitCast(d8, OddEven(ShiftLeftBytes<2>(d32, a_shuf), a_shuf));
  const auto a_1234_3456 = BitCast(
      d8,
      OddEven(ShiftLeftBytes<1>(d32, a_shuf), ShiftRightBytes<1>(d32, a_shuf)));
#endif

auto even_sums = SumsOf4(BitCast(du8, AbsDiff(a_0123_2345, vB)));
  auto odd_sums = SumsOf4(BitCast(du8, AbsDiff(a_1234_3456, vB)));

#if HWY_IS_LITTLE_ENDIAN
  odd_sums = ShiftLeft<16>(odd_sums);
#else
  even_sums = ShiftLeft<16>(even_sums);
#endif

const auto sums = OddEven(BitCast(d16, odd_sums), BitCast(d16, even_sums));

#if HWY_TARGET == HWY_RVV
  return ResizeBitCast(RepartitionToWide<DFromV<V8>>(), sums);
#else
  return sums;
#endif
}
#endif  // HWY_TARGET != HWY_SCALAR

#endif  // HWY_NATIVE_SUMS_OF_SHUFFLED_QUAD_ABS_DIFF

// ------------------------------ BitShuffle (Rol)
#if (defined(HWY_NATIVE_BITSHUFFLE) == defined(HWY_TARGET_TOGGLE))
#ifdef HWY_NATIVE_BITSHUFFLE
#undef HWY_NATIVE_BITSHUFFLE
#else
#define HWY_NATIVE_BITSHUFFLE
#endif

#if HWY_HAVE_INTEGER64 && HWY_TARGET != HWY_SCALAR
template <class V, class VI, HWY_IF_UI64(TFromV<V>), HWY_IF_UI8(TFromV<VI>)>
HWY_API V BitShuffle(V v, VI idx) {
  const DFromV<decltype(v)> d64;
  const RebindToUnsigned<decltype(d64)> du64;
  const Repartition<uint8_t, decltype(d64)> du8;

#if HWY_TARGET <= HWY_SSE2 || HWY_TARGET == HWY_WASM || \
    HWY_TARGET == HWY_WASM_EMU256
  const Repartition<uint16_t, decltype(d64)> d_idx_shr;
#else
  const Repartition<uint8_t, decltype(d64)> d_idx_shr;
#endif

#if HWY_IS_LITTLE_ENDIAN
  constexpr uint64_t kExtractedBitsMask =
      static_cast<uint64_t>(0x8040201008040201u);
#else
  constexpr uint64_t kExtractedBitsMask =
      static_cast<uint64_t>(0x0102040810204080u);
#endif

const auto k7 = Set(du8, uint8_t{0x07});

auto unmasked_byte_idx = BitCast(du8, ShiftRight<3>(BitCast(d_idx_shr, idx)));
#if HWY_IS_BIG_ENDIAN
  // Need to invert the lower 3 bits of unmasked_byte_idx[i] on big-endian
  // targets
  unmasked_byte_idx = Xor(unmasked_byte_idx, k7);
#endif  // HWY_IS_BIG_ENDIAN

const auto byte_idx = BitwiseIfThenElse(
      k7, unmasked_byte_idx,
      BitCast(du8, Dup128VecFromValues(du64, uint64_t{0},
                                       uint64_t{0x0808080808080808u})));
  // We want to shift right by idx & 7 to extract the desired bit in `bytes`,
  // and left by iota & 7 to put it in the correct output bit. To correctly
  // handle shift counts from -7 to 7, we rotate.
  const auto rotate_left_bits = Sub(Iota(du8, uint8_t{0}), BitCast(du8, idx));

const auto extracted_bits =
      And(Rol(TableLookupBytes(v, byte_idx), rotate_left_bits),
          BitCast(du8, Set(du64, kExtractedBitsMask)));
  // Combine bit-sliced (one bit per byte) into one 64-bit sum.
  return BitCast(d64, SumsOf8(extracted_bits));
}
#endif  // HWY_HAVE_INTEGER64 && HWY_TARGET != HWY_SCALAR

#endif  // HWY_NATIVE_BITSHUFFLE

template <class V, class M>
HWY_API V MaskedOr(M m, V a, V b) {
  return IfThenElseZero(m, Or(a, b));
}
// ------------------------------ AllBits1/AllBits0
#if (defined(HWY_NATIVE_ALLONES) == defined(HWY_TARGET_TOGGLE))
#ifdef HWY_NATIVE_ALLONES
#undef HWY_NATIVE_ALLONES
#else
#define HWY_NATIVE_ALLONES
#endif

template <class D, class V = VFromD<D>>
HWY_API bool AllBits1(D d, V v) {
  const RebindToUnsigned<decltype(d)> du;
  using TU = TFromD<decltype(du)>;
  return AllTrue(du, Eq(BitCast(du, v), Set(du, hwy::HighestValue<TU>())));
}
#endif  // HWY_NATIVE_ALLONES

#if (defined(HWY_NATIVE_ALLZEROS) == defined(HWY_TARGET_TOGGLE))
#ifdef HWY_NATIVE_ALLZEROS
#undef HWY_NATIVE_ALLZEROS
#else
#define HWY_NATIVE_ALLZEROS
#endif

template <class D, class V = VFromD<D>>
HWY_API bool AllBits0(D d, V v) {
  return AllTrue(d, Eq(v, Zero(d)));
}
#endif  // HWY_NATIVE_ALLZEROS

// ------------------------------ MultiRotateRight
#if (defined(HWY_NATIVE_MULTIROTATERIGHT) == defined(HWY_TARGET_TOGGLE))
#ifdef HWY_NATIVE_MULTIROTATERIGHT
#undef HWY_NATIVE_MULTIROTATERIGHT
#else
#define HWY_NATIVE_MULTIROTATERIGHT
#endif

template <class V, class VI, HWY_IF_UI64(TFromV<V>), HWY_IF_UI8(TFromV<VI>),
          class VI_2 = VFromD<Repartition<TFromV<VI>, DFromV<V>>>,
          HWY_IF_LANES_D(DFromV<VI>, HWY_MAX_LANES_V(VI_2)),
          HWY_IF_V_SIZE_V(V, 8)>
HWY_API V MultiRotateRight(V v, VI idx) {
  const DFromV<V> d64;
  const Twice<decltype(d64)> dt64;
  const Repartition<uint8_t, decltype(d64)> du8;
  const Repartition<uint8_t, decltype(dt64)> dt_u8;
  const Repartition<uint16_t, decltype(dt64)> dt_u16;
  const auto k7 = Set(du8, uint8_t{0x07});
  const auto k63 = Set(du8, uint8_t{0x3F});

const auto masked_idx = And(k63, BitCast(du8, idx));

auto byte_idx = ShiftRight<3>(masked_idx);
#if HWY_IS_LITTLE_ENDIAN
  const auto hi_byte_idx = Add(byte_idx, Set(du8, uint8_t{1}));
#else
  byte_idx = Xor(byte_idx, k7);
  const auto hi_byte_idx = Add(byte_idx, k7);
#endif

const auto idx_shift = And(k7, masked_idx);

// Calculate even lanes
  const auto even_src = DupEven(ResizeBitCast(dt64, v));
  // Expand indexes to pull out 16 bit segments of idx and idx + 1
#if HWY_IS_LITTLE_ENDIAN
  const auto even_idx = InterleaveLower(ResizeBitCast(dt_u8, byte_idx),
                                        ResizeBitCast(dt_u8, hi_byte_idx));
#else
  const auto even_idx = InterleaveLower(ResizeBitCast(dt_u8, hi_byte_idx),
                                        ResizeBitCast(dt_u8, byte_idx));
#endif
  // TableLookupBytes indexes select from within a 16 byte block
  const auto even_segments = TableLookupBytes(even_src, even_idx);
  // Extract unaligned bytes from 16 bit segments
  const auto even_idx_shift = PromoteTo(dt_u16, idx_shift);
  const auto extracted_even_bytes =
      Shr(BitCast(dt_u16, even_segments), even_idx_shift);

// Extract the even bytes of each 128 bit block and pack into lower 64 bits
#if HWY_IS_LITTLE_ENDIAN
  const auto even_lanes = BitCast(
      dt64,
      ConcatEven(dt_u8, Zero(dt_u8), BitCast(dt_u8, extracted_even_bytes)));
#else
  const auto even_lanes = BitCast(
      dt64,
      ConcatOdd(dt_u8, Zero(dt_u8), BitCast(dt_u8, extracted_even_bytes)));
#endif

return LowerHalf(d64, even_lanes);
}

template <class V, class VI, HWY_IF_UI64(TFromV<V>), HWY_IF_UI8(TFromV<VI>),
          class VI_2 = VFromD<Repartition<TFromV<VI>, DFromV<V>>>,
          HWY_IF_LANES_D(DFromV<VI>, HWY_MAX_LANES_V(VI_2)),
          HWY_IF_V_SIZE_GT_V(V, 8)>
HWY_API V MultiRotateRight(V v, VI idx) {
  const DFromV<V> d64;
  const Repartition<uint8_t, decltype(d64)> du8;
  const Repartition<uint16_t, decltype(d64)> du16;
  const auto k7 = Set(du8, uint8_t{0x07});
  const auto k63 = Set(du8, uint8_t{0x3F});

const auto masked_idx = And(k63, BitCast(du8, idx));

const auto idx_shift = And(k7, masked_idx);

// Calculate even lanes
  const auto even_src = DupEven(v);
  // Expand indexes to pull out 16 bit segments of idx and idx + 1
#if HWY_IS_LITTLE_ENDIAN
  const auto even_idx = InterleaveLower(byte_idx, hi_byte_idx);
#else
  const auto even_idx = InterleaveLower(hi_byte_idx, byte_idx);
#endif
  // TableLookupBytes indexes select from within a 16 byte block
  const auto even_segments = TableLookupBytes(even_src, even_idx);
  // Extract unaligned bytes from 16 bit segments
#if HWY_IS_LITTLE_ENDIAN
  const auto even_idx_shift = ZipLower(idx_shift, Zero(du8));
#else
  const auto even_idx_shift = ZipLower(Zero(du8), idx_shift);
#endif
  const auto extracted_even_bytes =
      Shr(BitCast(du16, even_segments), even_idx_shift);

// Calculate odd lanes
  const auto odd_src = DupOdd(v);
  // Expand indexes to pull out 16 bit segments of idx and idx + 1
#if HWY_IS_LITTLE_ENDIAN
  const auto odd_idx = InterleaveUpper(du8, byte_idx, hi_byte_idx);
#else
  const auto odd_idx = InterleaveUpper(du8, hi_byte_idx, byte_idx);
#endif
  // TableLookupBytes indexes select from within a 16 byte block
  const auto odd_segments = TableLookupBytes(odd_src, odd_idx);
  // Extract unaligned bytes from 16 bit segments
#if HWY_IS_LITTLE_ENDIAN
  const auto odd_idx_shift = ZipUpper(du16, idx_shift, Zero(du8));
#else
  const auto odd_idx_shift = ZipUpper(du16, Zero(du8), idx_shift);
#endif
  const auto extracted_odd_bytes =
      Shr(BitCast(du16, odd_segments), odd_idx_shift);

// Extract the even bytes of each 128 bit block and pack into lower 64 bits
#if HWY_IS_LITTLE_ENDIAN
  const auto even_lanes = BitCast(
      d64, ConcatEven(du8, Zero(du8), BitCast(du8, extracted_even_bytes)));
  const auto odd_lanes = BitCast(
      d64, ConcatEven(du8, Zero(du8), BitCast(du8, extracted_odd_bytes)));
#else
  const auto even_lanes = BitCast(
      d64, ConcatOdd(du8, Zero(du8), BitCast(du8, extracted_even_bytes)));
  const auto odd_lanes = BitCast(
      d64, ConcatOdd(du8, Zero(du8), BitCast(du8, extracted_odd_bytes)));
#endif
  // Interleave at 64 bit level
  return InterleaveWholeLower(even_lanes, odd_lanes);
}

#if HWY_TARGET == HWY_RVV

// MultiRotateRight for LMUL=1/2 case on RVV
template <class V, class VI, HWY_IF_UI64(TFromV<V>), HWY_IF_UI8(TFromV<VI>),
          class VI_2 = VFromD<Repartition<TFromV<VI>, DFromV<V>>>,
          HWY_IF_POW2_LE_D(DFromV<V>, 0),
          HWY_IF_LANES_D(DFromV<VI>, HWY_MAX_LANES_V(VI_2) / 2)>
HWY_API V MultiRotateRight(V v, VI idx) {
  return MultiRotateRight(v, ResizeBitCast(Twice<DFromV<VI>>(), idx));
}

#endif

// ================================================== Operator wrapper

// SVE* and RVV currently cannot define operators and have already defined
// (only) the corresponding functions such as Add.
#if (defined(HWY_NATIVE_OPERATOR_REPLACEMENTS) == defined(HWY_TARGET_TOGGLE))
#ifdef HWY_NATIVE_OPERATOR_REPLACEMENTS
#undef HWY_NATIVE_OPERATOR_REPLACEMENTS
#else
#define HWY_NATIVE_OPERATOR_REPLACEMENTS
#endif

template <class V>
HWY_API V Add(V a, V b) {
  return a + b;
}
template <class V>
HWY_API V Sub(V a, V b) {
  return a - b;
}

template <class V>
HWY_API V Mul(V a, V b) {
  return a * b;
}
template <class V>
HWY_API V Div(V a, V b) {
  return a / b;
}
template <class V>
HWY_API V Mod(V a, V b) {
  return a % b;
}

template <class V>
V Shl(V a, V b) {
  return a << b;
}
template <class V>
V Shr(V a, V b) {
  return a >> b;
}

template <class V>
HWY_API auto Eq(V a, V b) -> decltype(a == b) {
  return a == b;
}
template <class V>
HWY_API auto Ne(V a, V b) -> decltype(a == b) {
  return a != b;
}
template <class V>
HWY_API auto Lt(V a, V b) -> decltype(a == b) {
  return a < b;
}

template <class V>
HWY_API auto Gt(V a, V b) -> decltype(a == b) {
  return a > b;
}
template <class V>
HWY_API auto Ge(V a, V b) -> decltype(a == b) {
  return a >= b;
}

template <class V>
HWY_API auto Le(V a, V b) -> decltype(a == b) {
  return a <= b;
}

#endif  // HWY_NATIVE_OPERATOR_REPLACEMENTS

#undef HWY_GENERIC_IF_EMULATED_D

// TODO: remove once callers are updated.
// SVE and RVV do not support DFromM because their masks are loosely typed.
#if HWY_MAX_BYTES <= 64 && !HWY_TARGET_IS_SVE && HWY_TARGET != HWY_RVV
namespace detail {
template <class M>
uint64_t BitsFromMask(M m) {
  const DFromM<M> d;
  return ::hwy::HWY_NAMESPACE::BitsFromMask(d, m);
}
}  // namespace detail
#endif  // !HWY_HAVE_SCALABLE && HWY_MAX_BYTES <= 64

// NOLINTNEXTLINE(google-readability-namespace-comments)
}  // namespace HWY_NAMESPACE
}  // namespace hwy
HWY_AFTER_NAMESPACE();