Quelle PacketMath.h Sprache: C

// This file is part of Eigen, a lightweight C++ template library
// for linear algebra.
//
// Copyright (C) 2008-2009 Gael Guennebaud <gael.guennebaud@inria.fr>
// Copyright (C) 2010 Konstantinos Margaritis <markos@freevec.org>
// Heavily based on Gael's SSE version.
//
// This Source Code Form is subject to the terms of the Mozilla
// Public License v. 2.0. If a copy of the MPL was not distributed
// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.

#ifndef EIGEN_PACKET_MATH_NEON_H
#define EIGEN_PACKET_MATH_NEON_H

namespace Eigen {

namespace internal {

#ifndef EIGEN_CACHEFRIENDLY_PRODUCT_THRESHOLD
#define EIGEN_CACHEFRIENDLY_PRODUCT_THRESHOLD 8
#endif

#ifndef EIGEN_HAS_SINGLE_INSTRUCTION_MADD
#define EIGEN_HAS_SINGLE_INSTRUCTION_MADD
#endif

#ifndef EIGEN_ARCH_DEFAULT_NUMBER_OF_REGISTERS
#if EIGEN_ARCH_ARM64
#define EIGEN_ARCH_DEFAULT_NUMBER_OF_REGISTERS 32
#else
#define EIGEN_ARCH_DEFAULT_NUMBER_OF_REGISTERS 16
#endif
#endif

#if EIGEN_COMP_MSVC_STRICT

// In MSVC's arm_neon.h header file, all NEON vector types
// are aliases to the same underlying type __n128.
// We thus have to wrap them to make them different C++ types.
// (See also bug 1428)
typedef eigen_packet_wrapper<float32x2_t,0>  Packet2f;
typedef eigen_packet_wrapper<float32x4_t,1>  Packet4f;
typedef eigen_packet_wrapper<int32_t    ,2>  Packet4c;
typedef eigen_packet_wrapper<int8x8_t   ,3>  Packet8c;
typedef eigen_packet_wrapper<int8x16_t  ,4>  Packet16c;
typedef eigen_packet_wrapper<uint32_t   ,5>  Packet4uc;
typedef eigen_packet_wrapper<uint8x8_t  ,6>  Packet8uc;
typedef eigen_packet_wrapper<uint8x16_t ,7>  Packet16uc;
typedef eigen_packet_wrapper<int16x4_t  ,8>  Packet4s;
typedef eigen_packet_wrapper<int16x8_t  ,9>  Packet8s;
typedef eigen_packet_wrapper<uint16x4_t ,10> Packet4us;
typedef eigen_packet_wrapper<uint16x8_t ,11> Packet8us;
typedef eigen_packet_wrapper<int32x2_t  ,12> Packet2i;
typedef eigen_packet_wrapper<int32x4_t  ,13> Packet4i;
typedef eigen_packet_wrapper<uint32x2_t ,14> Packet2ui;
typedef eigen_packet_wrapper<uint32x4_t ,15> Packet4ui;
typedef eigen_packet_wrapper<int64x2_t  ,16> Packet2l;
typedef eigen_packet_wrapper<uint64x2_t ,17> Packet2ul;

#else

typedef float32x2_t                          Packet2f;
typedef float32x4_t                          Packet4f;
typedef eigen_packet_wrapper<int32_t    ,2>  Packet4c;
typedef int8x8_t                             Packet8c;
typedef int8x16_t                            Packet16c;
typedef eigen_packet_wrapper<uint32_t   ,5>  Packet4uc;
typedef uint8x8_t                            Packet8uc;
typedef uint8x16_t                           Packet16uc;
typedef int16x4_t                            Packet4s;
typedef int16x8_t                            Packet8s;
typedef uint16x4_t                           Packet4us;
typedef uint16x8_t                           Packet8us;
typedef int32x2_t                            Packet2i;
typedef int32x4_t                            Packet4i;
typedef uint32x2_t                           Packet2ui;
typedef uint32x4_t                           Packet4ui;
typedef int64x2_t                            Packet2l;
typedef uint64x2_t                           Packet2ul;

#endif // EIGEN_COMP_MSVC_STRICT

EIGEN_STRONG_INLINE Packet4f shuffle1(const Packet4f& m, int mask){
  const float* a = reinterpret_cast<const float*>(&m);
  Packet4f res = {*(a + (mask & 3)), *(a + ((mask >> 2) & 3)), *(a + ((mask >> 4) & 3 )), *(a + ((mask >> 6) & 3))};
  return res;
}

// fuctionally equivalent to _mm_shuffle_ps in SSE when interleave
// == false (i.e. shuffle<false>(m, n, mask) equals _mm_shuffle_ps(m, n, mask)),
// interleave m and n when interleave == true. Currently used in LU/arch/InverseSize4.h
// to enable a shared implementation for fast inversion of matrices of size 4.
template<bool interleave>
EIGEN_STRONG_INLINE Packet4f shuffle2(const Packet4f &m, const Packet4f &n, int mask)
{
  const float* a = reinterpret_cast<const float*>(&m);
  const float* b = reinterpret_cast<const float*>(&n);
  Packet4f res = {*(a + (mask & 3)), *(a + ((mask >> 2) & 3)), *(b + ((mask >> 4) & 3)), *(b + ((mask >> 6) & 3))};
  return res;
}

template<>
EIGEN_STRONG_INLINE Packet4f shuffle2<true>(const Packet4f &m, const Packet4f &n, int mask)
{
  const float* a = reinterpret_cast<const float*>(&m);
  const float* b = reinterpret_cast<const float*>(&n);
  Packet4f res = {*(a + (mask & 3)), *(b + ((mask >> 2) & 3)), *(a + ((mask >> 4) & 3)), *(b + ((mask >> 6) & 3))};
  return res;
}

EIGEN_STRONG_INLINE static int eigen_neon_shuffle_mask(int p, int q, int r, int s) {return ((s)<<6|(r)<<4|(q)<<2|(p));}

EIGEN_STRONG_INLINE Packet4f vec4f_swizzle1(const Packet4f& a, int p, int q, int r, int s)
{
  return shuffle1(a, eigen_neon_shuffle_mask(p, q, r, s));
}
EIGEN_STRONG_INLINE Packet4f vec4f_swizzle2(const Packet4f& a, const Packet4f& b, int p, int q, int r, int s)
{
  return shuffle2<false>(a,b,eigen_neon_shuffle_mask(p, q, r, s));
}
EIGEN_STRONG_INLINE Packet4f vec4f_movelh(const Packet4f& a, const Packet4f& b)
{
  return shuffle2<false>(a,b,eigen_neon_shuffle_mask(0, 1, 0, 1));
}
EIGEN_STRONG_INLINE Packet4f vec4f_movehl(const Packet4f& a, const Packet4f& b)
{
  return shuffle2<false>(b,a,eigen_neon_shuffle_mask(2, 3, 2, 3));
}
EIGEN_STRONG_INLINE Packet4f vec4f_unpacklo(const Packet4f& a, const Packet4f& b)
{
  return shuffle2<true>(a,b,eigen_neon_shuffle_mask(0, 0, 1, 1));
}
EIGEN_STRONG_INLINE Packet4f vec4f_unpackhi(const Packet4f& a, const Packet4f& b)
{
  return shuffle2<true>(a,b,eigen_neon_shuffle_mask(2, 2, 3, 3));
}
#define vec4f_duplane(a, p) \
  vdupq_lane_f32(vget_low_f32(a), p)

#define _EIGEN_DECLARE_CONST_Packet4f(NAME,X) \
  const Packet4f p4f_##NAME = pset1<Packet4f>(X)

#define _EIGEN_DECLARE_CONST_Packet4f_FROM_INT(NAME,X) \
  const Packet4f p4f_##NAME = vreinterpretq_f32_u32(pset1<int32_t>(X))

#define _EIGEN_DECLARE_CONST_Packet4i(NAME,X) \
  const Packet4i p4i_##NAME = pset1<Packet4i>(X)

#if EIGEN_ARCH_ARM64
  // __builtin_prefetch tends to do nothing on ARM64 compilers because the
  // prefetch instructions there are too detailed for __builtin_prefetch to map
  // meaningfully to them.
  #define EIGEN_ARM_PREFETCH(ADDR)  __asm__ __volatile__("prfm pldl1keep, [%[addr]]\n" ::[addr] "r"(ADDR) : );
#elif EIGEN_HAS_BUILTIN(__builtin_prefetch) || EIGEN_COMP_GNUC
  #define EIGEN_ARM_PREFETCH(ADDR) __builtin_prefetch(ADDR);
#elif defined __pld
  #define EIGEN_ARM_PREFETCH(ADDR) __pld(ADDR)
#elif EIGEN_ARCH_ARM32
  #define EIGEN_ARM_PREFETCH(ADDR) __asm__ __volatile__ ("pld [%[addr]]\n" :: [addr] "r" (ADDR) : );
#else
  // by default no explicit prefetching
  #define EIGEN_ARM_PREFETCH(ADDR)
#endif

template <>
struct packet_traits<float> : default_packet_traits
{
  typedef Packet4f type;
  typedef Packet2f half;
  enum
  {
    Vectorizable = 1,
    AlignedOnScalar = 1,
    size = 4,
    HasHalfPacket = 1,

    HasAdd       = 1,
    HasSub       = 1,
    HasShift     = 1,
    HasMul       = 1,
    HasNegate    = 1,
    HasAbs       = 1,
    HasArg       = 0,
    HasAbs2      = 1,
    HasAbsDiff   = 1,
    HasMin       = 1,
    HasMax       = 1,
    HasConj      = 1,
    HasSetLinear = 0,
    HasBlend     = 0,

    HasDiv   = 1,
    HasFloor = 1,
    HasCeil = 1,
    HasRint = 1,

    HasSin  = EIGEN_FAST_MATH,
    HasCos  = EIGEN_FAST_MATH,
    HasLog  = 1,
    HasExp  = 1,
    HasSqrt = 1,
    HasRsqrt = 1,
    HasTanh = EIGEN_FAST_MATH,
    HasErf  = EIGEN_FAST_MATH,
    HasBessel = 0,  // Issues with accuracy.
    HasNdtri = 0
  };
};

template <>
struct packet_traits<int8_t> : default_packet_traits
{
  typedef Packet16c type;
  typedef Packet8c half;
  enum
  {
    Vectorizable = 1,
    AlignedOnScalar = 1,
    size = 16,
    HasHalfPacket = 1,

    HasAdd       = 1,
    HasSub       = 1,
    HasShift     = 1,
    HasMul       = 1,
    HasNegate    = 1,
    HasAbs       = 1,
    HasAbsDiff   = 1,
    HasArg       = 0,
    HasAbs2      = 1,
    HasMin       = 1,
    HasMax       = 1,
    HasConj      = 1,
    HasSetLinear = 0,
    HasBlend     = 0
  };
};

template <>
struct packet_traits<uint8_t> : default_packet_traits
{
  typedef Packet16uc type;
  typedef Packet8uc half;
  enum
  {
    Vectorizable = 1,
    AlignedOnScalar = 1,
    size = 16,
    HasHalfPacket = 1,

    HasAdd       = 1,
    HasSub       = 1,
    HasShift     = 1,
    HasMul       = 1,
    HasNegate    = 0,
    HasAbs       = 1,
    HasAbsDiff   = 1,
    HasArg       = 0,
    HasAbs2      = 1,
    HasMin       = 1,
    HasMax       = 1,
    HasConj      = 1,
    HasSetLinear = 0,
    HasBlend     = 0,

    HasSqrt = 1
  };
};

template <>
struct packet_traits<int16_t> : default_packet_traits
{
  typedef Packet8s type;
  typedef Packet4s half;
  enum
  {
    Vectorizable = 1,
    AlignedOnScalar = 1,
    size = 8,
    HasHalfPacket = 1,

    HasAdd       = 1,
    HasSub       = 1,
    HasShift     = 1,
    HasMul       = 1,
    HasNegate    = 1,
    HasAbs       = 1,
    HasAbsDiff   = 1,
    HasArg       = 0,
    HasAbs2      = 1,
    HasMin       = 1,
    HasMax       = 1,
    HasConj      = 1,
    HasSetLinear = 0,
    HasBlend     = 0
  };
};

template <>
struct packet_traits<uint16_t> : default_packet_traits
{
  typedef Packet8us type;
  typedef Packet4us half;
  enum
  {
    Vectorizable = 1,
    AlignedOnScalar = 1,
    size = 8,
    HasHalfPacket = 1,

    HasAdd       = 1,
    HasSub       = 1,
    HasShift     = 1,
    HasMul       = 1,
    HasNegate    = 0,
    HasAbs       = 0,
    HasAbsDiff   = 1,
    HasArg       = 0,
    HasAbs2      = 1,
    HasMin       = 1,
    HasMax       = 1,
    HasConj      = 1,
    HasSetLinear = 0,
    HasBlend     = 0,
    HasSqrt = 1
  };
};

template <>
struct packet_traits<int32_t> : default_packet_traits
{
  typedef Packet4i type;
  typedef Packet2i half;
  enum
  {
    Vectorizable = 1,
    AlignedOnScalar = 1,
    size = 4,
    HasHalfPacket = 1,

    HasAdd       = 1,
    HasSub       = 1,
    HasShift     = 1,
    HasMul       = 1,
    HasNegate    = 1,
    HasAbs       = 1,
    HasArg       = 0,
    HasAbs2      = 1,
    HasAbsDiff   = 1,
    HasMin       = 1,
    HasMax       = 1,
    HasConj      = 1,
    HasSetLinear = 0,
    HasBlend     = 0
  };
};

template <>
struct packet_traits<uint32_t> : default_packet_traits
{
  typedef Packet4ui type;
  typedef Packet2ui half;
  enum
  {
    Vectorizable = 1,
    AlignedOnScalar = 1,
    size = 4,
    HasHalfPacket = 1,

    HasAdd       = 1,
    HasSub       = 1,
    HasShift     = 1,
    HasMul       = 1,
    HasNegate    = 0,
    HasAbs       = 0,
    HasArg       = 0,
    HasAbs2      = 1,
    HasAbsDiff   = 1,
    HasMin       = 1,
    HasMax       = 1,
    HasConj      = 1,
    HasSetLinear = 0,
    HasBlend     = 0,

    HasSqrt = 1
  };
};

template <>
struct packet_traits<int64_t> : default_packet_traits
{
  typedef Packet2l type;
  typedef Packet2l half;
  enum
  {
    Vectorizable = 1,
    AlignedOnScalar = 1,
    size = 2,
    HasHalfPacket = 0,

    HasCmp       = 1,
    HasAdd       = 1,
    HasSub       = 1,
    HasShift     = 1,
    HasMul       = 1,
    HasNegate    = 1,
    HasAbs       = 1,
    HasArg       = 0,
    HasAbs2      = 1,
    HasAbsDiff   = 1,
    HasMin       = 1,
    HasMax       = 1,
    HasConj      = 1,
    HasSetLinear = 0,
    HasBlend     = 0
  };
};

template <>
struct packet_traits<uint64_t> : default_packet_traits
{
  typedef Packet2ul type;
  typedef Packet2ul half;
  enum
  {
    Vectorizable = 1,
    AlignedOnScalar = 1,
    size = 2,
    HasHalfPacket = 0,

    HasCmp       = 1,
    HasAdd       = 1,
    HasSub       = 1,
    HasShift     = 1,
    HasMul       = 1,
    HasNegate    = 0,
    HasAbs       = 0,
    HasArg       = 0,
    HasAbs2      = 1,
    HasAbsDiff   = 1,
    HasMin       = 1,
    HasMax       = 1,
    HasConj      = 1,
    HasSetLinear = 0,
    HasBlend     = 0
  };
};

#if EIGEN_GNUC_AT_MOST(4, 4) && !EIGEN_COMP_LLVM
// workaround gcc 4.2, 4.3 and 4.4 compilation issue
EIGEN_STRONG_INLINE float32x4_t vld1q_f32(const float* x) { return ::vld1q_f32((const float32_t*)x); }
EIGEN_STRONG_INLINE float32x2_t vld1_f32(const float* x) { return ::vld1_f32 ((const float32_t*)x); }
EIGEN_STRONG_INLINE float32x2_t vld1_dup_f32(const float* x) { return ::vld1_dup_f32 ((const float32_t*)x); }
EIGEN_STRONG_INLINE void vst1q_f32(float* to, float32x4_t from) { ::vst1q_f32((float32_t*)to,from); }
EIGEN_STRONG_INLINE void vst1_f32 (float* to, float32x2_t from) { ::vst1_f32 ((float32_t*)to,from); }
#endif

template<> struct unpacket_traits<Packet2f>
{
  typedef float type;
  typedef Packet2f half;
  typedef Packet2i integer_packet;
  enum
  {
    size = 2,
    alignment = Aligned16,
    vectorizable = true,
    masked_load_available = false,
    masked_store_available = false
  };
};
template<> struct unpacket_traits<Packet4f>
{
  typedef float type;
  typedef Packet2f half;
  typedef Packet4i integer_packet;
  enum
  {
    size = 4,
    alignment = Aligned16,
    vectorizable = true,
    masked_load_available = false,
    masked_store_available = false
  };
};
template<> struct unpacket_traits<Packet4c>
{
  typedef int8_t type;
  typedef Packet4c half;
  enum
  {
    size = 4,
    alignment = Unaligned,
    vectorizable = true,
    masked_load_available = false,
    masked_store_available = false
  };
};
template<> struct unpacket_traits<Packet8c>
{
  typedef int8_t type;
  typedef Packet4c half;
  enum
  {
    size = 8,
    alignment = Aligned16,
    vectorizable = true,
    masked_load_available = false,
    masked_store_available = false
  };
};
template<> struct unpacket_traits<Packet16c>
{
  typedef int8_t type;
  typedef Packet8c half;
  enum
  {
    size = 16,
    alignment = Aligned16,
    vectorizable = true,
    masked_load_available = false,
    masked_store_available = false
  };
};
template<> struct unpacket_traits<Packet4uc>
{
  typedef uint8_t type;
  typedef Packet4uc half;
  enum
  {
    size = 4,
    alignment = Unaligned,
    vectorizable = true,
    masked_load_available = false,
    masked_store_available = false
  };
};
template<> struct unpacket_traits<Packet8uc>
{
  typedef uint8_t type;
  typedef Packet4uc half;
  enum
  {
    size = 8,
    alignment = Aligned16,
    vectorizable = true,
    masked_load_available = false,
    masked_store_available = false
  };
};
template<> struct unpacket_traits<Packet16uc>
{
  typedef uint8_t type;
  typedef Packet8uc half;
  enum
  {
    size = 16,
    alignment = Aligned16,
    vectorizable = true,
    masked_load_available = false,
    masked_store_available = false};
};
template<> struct unpacket_traits<Packet4s>
{
  typedef int16_t type;
  typedef Packet4s half;
  enum
  {
    size = 4,
    alignment = Aligned16,
    vectorizable = true,
    masked_load_available = false,
    masked_store_available = false
  };
};
template<> struct unpacket_traits<Packet8s>
{
  typedef int16_t type;
  typedef Packet4s half;
  enum
  {
    size = 8,
    alignment = Aligned16,
    vectorizable = true,
    masked_load_available = false,
    masked_store_available = false
  };
};
template<> struct unpacket_traits<Packet4us>
{
  typedef uint16_t type;
  typedef Packet4us half;
  enum
  {
    size = 4,
    alignment = Aligned16,
    vectorizable = true,
    masked_load_available = false,
    masked_store_available = false
  };
};
template<> struct unpacket_traits<Packet8us>
{
  typedef uint16_t type;
  typedef Packet4us half;
  enum
  {
    size = 8,
    alignment = Aligned16,
    vectorizable = true,
    masked_load_available = false,
    masked_store_available = false
  };
};
template<> struct unpacket_traits<Packet2i>
{
  typedef int32_t type;
  typedef Packet2i half;
  enum
  {
    size = 2,
    alignment = Aligned16,
    vectorizable = true,
    masked_load_available = false,
    masked_store_available = false
  };
};
template<> struct unpacket_traits<Packet4i>
{
  typedef int32_t type;
  typedef Packet2i half;
  enum
  {
    size = 4,
    alignment = Aligned16,
    vectorizable = true,
    masked_load_available = false,
    masked_store_available = false
  };
};
template<> struct unpacket_traits<Packet2ui>
{
  typedef uint32_t type;
  typedef Packet2ui half;
  enum
  {
    size = 2,
    alignment = Aligned16,
    vectorizable = true,
    masked_load_available = false,
    masked_store_available = false
  };
};
template<> struct unpacket_traits<Packet4ui>
{
  typedef uint32_t type;
  typedef Packet2ui half;
  enum
  {
    size = 4,
    alignment = Aligned16,
    vectorizable = true,
    masked_load_available = false,
    masked_store_available = false
  };
};
template<> struct unpacket_traits<Packet2l>
{
  typedef int64_t type;
  typedef Packet2l half;
  enum
  {
    size = 2,
    alignment = Aligned16,
    vectorizable = true,
    masked_load_available = false,
    masked_store_available = false
  };
};
template<> struct unpacket_traits<Packet2ul>
{
  typedef uint64_t type;
  typedef Packet2ul half;
  enum
  {
    size = 2,
    alignment = Aligned16,
    vectorizable = true,
    masked_load_available = false,
    masked_store_available = false
  };
};

template<> EIGEN_STRONG_INLINE Packet2f pset1<Packet2f>(const float& from) { return vdup_n_f32(from); }
template<> EIGEN_STRONG_INLINE Packet4f pset1<Packet4f>(const float& from) { return vdupq_n_f32(from); }
template<> EIGEN_STRONG_INLINE Packet4c pset1<Packet4c>(const int8_t& from)
{ return vget_lane_s32(vreinterpret_s32_s8(vdup_n_s8(from)), 0); }
template<> EIGEN_STRONG_INLINE Packet8c pset1<Packet8c>(const int8_t& from) { return vdup_n_s8(from); }
template<> EIGEN_STRONG_INLINE Packet16c pset1<Packet16c>(const int8_t& from) { return vdupq_n_s8(from); }
template<> EIGEN_STRONG_INLINE Packet4uc pset1<Packet4uc>(const uint8_t& from)
{ return vget_lane_u32(vreinterpret_u32_u8(vdup_n_u8(from)), 0); }
template<> EIGEN_STRONG_INLINE Packet8uc pset1<Packet8uc>(const uint8_t& from) { return vdup_n_u8(from); }
template<> EIGEN_STRONG_INLINE Packet16uc pset1<Packet16uc>(const uint8_t& from) { return vdupq_n_u8(from); }
template<> EIGEN_STRONG_INLINE Packet4s pset1<Packet4s>(const int16_t& from) { return vdup_n_s16(from); }
template<> EIGEN_STRONG_INLINE Packet8s pset1<Packet8s>(const int16_t& from) { return vdupq_n_s16(from); }
template<> EIGEN_STRONG_INLINE Packet4us pset1<Packet4us>(const uint16_t& from) { return vdup_n_u16(from); }
template<> EIGEN_STRONG_INLINE Packet8us pset1<Packet8us>(const uint16_t& from) { return vdupq_n_u16(from); }
template<> EIGEN_STRONG_INLINE Packet2i pset1<Packet2i>(const int32_t& from) { return vdup_n_s32(from); }
template<> EIGEN_STRONG_INLINE Packet4i pset1<Packet4i>(const int32_t& from) { return vdupq_n_s32(from); }
template<> EIGEN_STRONG_INLINE Packet2ui pset1<Packet2ui>(const uint32_t& from) { return vdup_n_u32(from); }
template<> EIGEN_STRONG_INLINE Packet4ui pset1<Packet4ui>(const uint32_t& from) { return vdupq_n_u32(from); }
template<> EIGEN_STRONG_INLINE Packet2l pset1<Packet2l>(const int64_t& from) { return vdupq_n_s64(from); }
template<> EIGEN_STRONG_INLINE Packet2ul pset1<Packet2ul>(const uint64_t& from) { return vdupq_n_u64(from); }

template<> EIGEN_STRONG_INLINE Packet2f pset1frombits<Packet2f>(unsigned int from)
{ return vreinterpret_f32_u32(vdup_n_u32(from)); }
template<> EIGEN_STRONG_INLINE Packet4f pset1frombits<Packet4f>(unsigned int from)
{ return vreinterpretq_f32_u32(vdupq_n_u32(from)); }

template<> EIGEN_STRONG_INLINE Packet2f plset<Packet2f>(const float& a)
{
  const float c[] = {0.0f,1.0f};
  return vadd_f32(pset1<Packet2f>(a), vld1_f32(c));
}
template<> EIGEN_STRONG_INLINE Packet4f plset<Packet4f>(const float& a)
{
  const float c[] = {0.0f,1.0f,2.0f,3.0f};
  return vaddq_f32(pset1<Packet4f>(a), vld1q_f32(c));
}
template<> EIGEN_STRONG_INLINE Packet4c plset<Packet4c>(const int8_t& a)
{ return vget_lane_s32(vreinterpret_s32_s8(vadd_s8(vreinterpret_s8_u32(vdup_n_u32(0x03020100)), vdup_n_s8(a))), 0); }
template<> EIGEN_STRONG_INLINE Packet8c plset<Packet8c>(const int8_t& a)
{
  const int8_t c[] = {0,1,2,3,4,5,6,7};
  return vadd_s8(pset1<Packet8c>(a), vld1_s8(c));
}
template<> EIGEN_STRONG_INLINE Packet16c plset<Packet16c>(const int8_t& a)
{
  const int8_t c[] = {0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15};
  return vaddq_s8(pset1<Packet16c>(a), vld1q_s8(c));
}
template<> EIGEN_STRONG_INLINE Packet4uc plset<Packet4uc>(const uint8_t& a)
{ return vget_lane_u32(vreinterpret_u32_u8(vadd_u8(vreinterpret_u8_u32(vdup_n_u32(0x03020100)), vdup_n_u8(a))), 0); }
template<> EIGEN_STRONG_INLINE Packet8uc plset<Packet8uc>(const uint8_t& a)
{
  const uint8_t c[] = {0,1,2,3,4,5,6,7};
  return vadd_u8(pset1<Packet8uc>(a), vld1_u8(c));
}
template<> EIGEN_STRONG_INLINE Packet16uc plset<Packet16uc>(const uint8_t& a)
{
  const uint8_t c[] = {0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15};
  return vaddq_u8(pset1<Packet16uc>(a), vld1q_u8(c));
}
template<> EIGEN_STRONG_INLINE Packet4s plset<Packet4s>(const int16_t& a)
{
  const int16_t c[] = {0,1,2,3};
  return vadd_s16(pset1<Packet4s>(a), vld1_s16(c));
}
template<> EIGEN_STRONG_INLINE Packet4us plset<Packet4us>(const uint16_t& a)
{
  const uint16_t c[] = {0,1,2,3};
  return vadd_u16(pset1<Packet4us>(a), vld1_u16(c));
}
template<> EIGEN_STRONG_INLINE Packet8s plset<Packet8s>(const int16_t& a)
{
  const int16_t c[] = {0,1,2,3,4,5,6,7};
  return vaddq_s16(pset1<Packet8s>(a), vld1q_s16(c));
}
template<> EIGEN_STRONG_INLINE Packet8us plset<Packet8us>(const uint16_t& a)
{
  const uint16_t c[] = {0,1,2,3,4,5,6,7};
  return vaddq_u16(pset1<Packet8us>(a), vld1q_u16(c));
}
template<> EIGEN_STRONG_INLINE Packet2i plset<Packet2i>(const int32_t& a)
{
  const int32_t c[] = {0,1};
  return vadd_s32(pset1<Packet2i>(a), vld1_s32(c));
}
template<> EIGEN_STRONG_INLINE Packet4i plset<Packet4i>(const int32_t& a)
{
  const int32_t c[] = {0,1,2,3};
  return vaddq_s32(pset1<Packet4i>(a), vld1q_s32(c));
}
template<> EIGEN_STRONG_INLINE Packet2ui plset<Packet2ui>(const uint32_t& a)
{
  const uint32_t c[] = {0,1};
  return vadd_u32(pset1<Packet2ui>(a), vld1_u32(c));
}
template<> EIGEN_STRONG_INLINE Packet4ui plset<Packet4ui>(const uint32_t& a)
{
  const uint32_t c[] = {0,1,2,3};
  return vaddq_u32(pset1<Packet4ui>(a), vld1q_u32(c));
}
template<> EIGEN_STRONG_INLINE Packet2l plset<Packet2l>(const int64_t& a)
{
  const int64_t c[] = {0,1};
  return vaddq_s64(pset1<Packet2l>(a), vld1q_s64(c));
}
template<> EIGEN_STRONG_INLINE Packet2ul plset<Packet2ul>(const uint64_t& a)
{
  const uint64_t c[] = {0,1};
  return vaddq_u64(pset1<Packet2ul>(a), vld1q_u64(c));
}

template<> EIGEN_STRONG_INLINE Packet2f padd<Packet2f>(const Packet2f& a, const Packet2f& b) { return vadd_f32(a,b); }
template<> EIGEN_STRONG_INLINE Packet4f padd<Packet4f>(const Packet4f& a, const Packet4f& b) { return vaddq_f32(a,b); }
template<> EIGEN_STRONG_INLINE Packet4c padd<Packet4c>(const Packet4c& a, const Packet4c& b)
{
  return vget_lane_s32(vreinterpret_s32_s8(vadd_s8(
      vreinterpret_s8_s32(vdup_n_s32(a)),
      vreinterpret_s8_s32(vdup_n_s32(b)))), 0);
}
template<> EIGEN_STRONG_INLINE Packet8c padd<Packet8c>(const Packet8c& a, const Packet8c& b) { return vadd_s8(a,b); }
template<> EIGEN_STRONG_INLINE Packet16c padd<Packet16c>(const Packet16c& a, const Packet16c& b) { return vaddq_s8(a,b); }
template<> EIGEN_STRONG_INLINE Packet4uc padd<Packet4uc>(const Packet4uc& a, const Packet4uc& b)
{
  return vget_lane_u32(vreinterpret_u32_u8(vadd_u8(
      vreinterpret_u8_u32(vdup_n_u32(a)),
      vreinterpret_u8_u32(vdup_n_u32(b)))), 0);
}
template<> EIGEN_STRONG_INLINE Packet8uc padd<Packet8uc>(const Packet8uc& a, const Packet8uc& b) { return vadd_u8(a,b); }
template<> EIGEN_STRONG_INLINE Packet16uc padd<Packet16uc>(const Packet16uc& a, const Packet16uc& b) { return vaddq_u8(a,b); }
template<> EIGEN_STRONG_INLINE Packet4s padd<Packet4s>(const Packet4s& a, const Packet4s& b) { return vadd_s16(a,b); }
template<> EIGEN_STRONG_INLINE Packet8s padd<Packet8s>(const Packet8s& a, const Packet8s& b) { return vaddq_s16(a,b); }
template<> EIGEN_STRONG_INLINE Packet4us padd<Packet4us>(const Packet4us& a, const Packet4us& b) { return vadd_u16(a,b); }
template<> EIGEN_STRONG_INLINE Packet8us padd<Packet8us>(const Packet8us& a, const Packet8us& b) { return vaddq_u16(a,b); }
template<> EIGEN_STRONG_INLINE Packet2i padd<Packet2i>(const Packet2i& a, const Packet2i& b) { return vadd_s32(a,b); }
template<> EIGEN_STRONG_INLINE Packet4i padd<Packet4i>(const Packet4i& a, const Packet4i& b) { return vaddq_s32(a,b); }
template<> EIGEN_STRONG_INLINE Packet2ui padd<Packet2ui>(const Packet2ui& a, const Packet2ui& b) { return vadd_u32(a,b); }
template<> EIGEN_STRONG_INLINE Packet4ui padd<Packet4ui>(const Packet4ui& a, const Packet4ui& b) { return vaddq_u32(a,b); }
template<> EIGEN_STRONG_INLINE Packet2l padd<Packet2l>(const Packet2l& a, const Packet2l& b) { return vaddq_s64(a,b); }
template<> EIGEN_STRONG_INLINE Packet2ul padd<Packet2ul>(const Packet2ul& a, const Packet2ul& b) { return vaddq_u64(a,b); }

template<> EIGEN_STRONG_INLINE Packet2f psub<Packet2f>(const Packet2f& a, const Packet2f& b) { return vsub_f32(a,b); }
template<> EIGEN_STRONG_INLINE Packet4f psub<Packet4f>(const Packet4f& a, const Packet4f& b) { return vsubq_f32(a,b); }
template<> EIGEN_STRONG_INLINE Packet4c psub<Packet4c>(const Packet4c& a, const Packet4c& b)
{
  return vget_lane_s32(vreinterpret_s32_s8(vsub_s8(
      vreinterpret_s8_s32(vdup_n_s32(a)),
      vreinterpret_s8_s32(vdup_n_s32(b)))), 0);
}
template<> EIGEN_STRONG_INLINE Packet8c psub<Packet8c>(const Packet8c& a, const Packet8c& b) { return vsub_s8(a,b); }
template<> EIGEN_STRONG_INLINE Packet16c psub<Packet16c>(const Packet16c& a, const Packet16c& b) { return vsubq_s8(a,b); }
template<> EIGEN_STRONG_INLINE Packet4uc psub<Packet4uc>(const Packet4uc& a, const Packet4uc& b)
{
  return vget_lane_u32(vreinterpret_u32_u8(vsub_u8(
      vreinterpret_u8_u32(vdup_n_u32(a)),
      vreinterpret_u8_u32(vdup_n_u32(b)))), 0);
}
template<> EIGEN_STRONG_INLINE Packet8uc psub<Packet8uc>(const Packet8uc& a, const Packet8uc& b) { return vsub_u8(a,b); }
template<> EIGEN_STRONG_INLINE Packet16uc psub<Packet16uc>(const Packet16uc& a, const Packet16uc& b) { return vsubq_u8(a,b); }
template<> EIGEN_STRONG_INLINE Packet4s psub<Packet4s>(const Packet4s& a, const Packet4s& b) { return vsub_s16(a,b); }
template<> EIGEN_STRONG_INLINE Packet8s psub<Packet8s>(const Packet8s& a, const Packet8s& b) { return vsubq_s16(a,b); }
template<> EIGEN_STRONG_INLINE Packet4us psub<Packet4us>(const Packet4us& a, const Packet4us& b) { return vsub_u16(a,b); }
template<> EIGEN_STRONG_INLINE Packet8us psub<Packet8us>(const Packet8us& a, const Packet8us& b) { return vsubq_u16(a,b); }
template<> EIGEN_STRONG_INLINE Packet2i psub<Packet2i>(const Packet2i& a, const Packet2i& b) { return vsub_s32(a,b); }
template<> EIGEN_STRONG_INLINE Packet4i psub<Packet4i>(const Packet4i& a, const Packet4i& b) { return vsubq_s32(a,b); }
template<> EIGEN_STRONG_INLINE Packet2ui psub<Packet2ui>(const Packet2ui& a, const Packet2ui& b) { return vsub_u32(a,b); }
template<> EIGEN_STRONG_INLINE Packet4ui psub<Packet4ui>(const Packet4ui& a, const Packet4ui& b) { return vsubq_u32(a,b); }
template<> EIGEN_STRONG_INLINE Packet2l psub<Packet2l>(const Packet2l& a, const Packet2l& b) { return vsubq_s64(a,b); }
template<> EIGEN_STRONG_INLINE Packet2ul psub<Packet2ul>(const Packet2ul& a, const Packet2ul& b) { return vsubq_u64(a,b); }

template<> EIGEN_STRONG_INLINE Packet2f pxor<Packet2f>(const Packet2f& a, const Packet2f& b);
template<> EIGEN_STRONG_INLINE Packet2f paddsub<Packet2f>(const Packet2f& a, const Packet2f & b) {
  Packet2f mask = {numext::bit_cast<float>(0x80000000u), 0.0f};
  return padd(a, pxor(mask, b));
}
template<> EIGEN_STRONG_INLINE Packet4f pxor<Packet4f>(const Packet4f& a, const Packet4f& b);
template<> EIGEN_STRONG_INLINE Packet4f paddsub<Packet4f>(const Packet4f& a, const Packet4f& b) {
  Packet4f mask = {numext::bit_cast<float>(0x80000000u), 0.0f, numext::bit_cast<float>(0x80000000u), 0.0f};
  return padd(a, pxor(mask, b));
}

template<> EIGEN_STRONG_INLINE Packet2f pnegate(const Packet2f& a) { return vneg_f32(a); }
template<> EIGEN_STRONG_INLINE Packet4f pnegate(const Packet4f& a) { return vnegq_f32(a); }
template<> EIGEN_STRONG_INLINE Packet4c pnegate(const Packet4c& a)
{ return vget_lane_s32(vreinterpret_s32_s8(vneg_s8(vreinterpret_s8_s32(vdup_n_s32(a)))), 0); }
template<> EIGEN_STRONG_INLINE Packet8c pnegate(const Packet8c& a) { return vneg_s8(a); }
template<> EIGEN_STRONG_INLINE Packet16c pnegate(const Packet16c& a) { return vnegq_s8(a); }
template<> EIGEN_STRONG_INLINE Packet4s pnegate(const Packet4s& a) { return vneg_s16(a); }
template<> EIGEN_STRONG_INLINE Packet8s pnegate(const Packet8s& a) { return vnegq_s16(a); }
template<> EIGEN_STRONG_INLINE Packet2i pnegate(const Packet2i& a) { return vneg_s32(a); }
template<> EIGEN_STRONG_INLINE Packet4i pnegate(const Packet4i& a) { return vnegq_s32(a); }
template<> EIGEN_STRONG_INLINE Packet2l pnegate(const Packet2l& a) {
#if EIGEN_ARCH_ARM64
  return vnegq_s64(a);
#else
  return vcombine_s64(
      vdup_n_s64(-vgetq_lane_s64(a, 0)),
      vdup_n_s64(-vgetq_lane_s64(a, 1)));
#endif
}

template<> EIGEN_STRONG_INLINE Packet2f pconj(const Packet2f& a) { return a; }
template<> EIGEN_STRONG_INLINE Packet4f pconj(const Packet4f& a) { return a; }
template<> EIGEN_STRONG_INLINE Packet4c pconj(const Packet4c& a) { return a; }
template<> EIGEN_STRONG_INLINE Packet8c pconj(const Packet8c& a) { return a; }
template<> EIGEN_STRONG_INLINE Packet16c pconj(const Packet16c& a) { return a; }
template<> EIGEN_STRONG_INLINE Packet4uc pconj(const Packet4uc& a) { return a; }
template<> EIGEN_STRONG_INLINE Packet8uc pconj(const Packet8uc& a) { return a; }
template<> EIGEN_STRONG_INLINE Packet16uc pconj(const Packet16uc& a) { return a; }
template<> EIGEN_STRONG_INLINE Packet4s pconj(const Packet4s& a) { return a; }
template<> EIGEN_STRONG_INLINE Packet8s pconj(const Packet8s& a) { return a; }
template<> EIGEN_STRONG_INLINE Packet4us pconj(const Packet4us& a) { return a; }
template<> EIGEN_STRONG_INLINE Packet8us pconj(const Packet8us& a) { return a; }
template<> EIGEN_STRONG_INLINE Packet2i pconj(const Packet2i& a) { return a; }
template<> EIGEN_STRONG_INLINE Packet4i pconj(const Packet4i& a) { return a; }
template<> EIGEN_STRONG_INLINE Packet2ui pconj(const Packet2ui& a) { return a; }
template<> EIGEN_STRONG_INLINE Packet4ui pconj(const Packet4ui& a) { return a; }
template<> EIGEN_STRONG_INLINE Packet2l pconj(const Packet2l& a) { return a; }
template<> EIGEN_STRONG_INLINE Packet2ul pconj(const Packet2ul& a) { return a; }

template<> EIGEN_STRONG_INLINE Packet2f pmul<Packet2f>(const Packet2f& a, const Packet2f& b) { return vmul_f32(a,b); }
template<> EIGEN_STRONG_INLINE Packet4f pmul<Packet4f>(const Packet4f& a, const Packet4f& b) { return vmulq_f32(a,b); }
template<> EIGEN_STRONG_INLINE Packet4c pmul<Packet4c>(const Packet4c& a, const Packet4c& b)
{
  return vget_lane_s32(vreinterpret_s32_s8(vmul_s8(
      vreinterpret_s8_s32(vdup_n_s32(a)),
      vreinterpret_s8_s32(vdup_n_s32(b)))), 0);
}
template<> EIGEN_STRONG_INLINE Packet8c pmul<Packet8c>(const Packet8c& a, const Packet8c& b) { return vmul_s8(a,b); }
template<> EIGEN_STRONG_INLINE Packet16c pmul<Packet16c>(const Packet16c& a, const Packet16c& b) { return vmulq_s8(a,b); }
template<> EIGEN_STRONG_INLINE Packet4uc pmul<Packet4uc>(const Packet4uc& a, const Packet4uc& b)
{
  return vget_lane_u32(vreinterpret_u32_u8(vmul_u8(
      vreinterpret_u8_u32(vdup_n_u32(a)),
      vreinterpret_u8_u32(vdup_n_u32(b)))), 0);
}
template<> EIGEN_STRONG_INLINE Packet8uc pmul<Packet8uc>(const Packet8uc& a, const Packet8uc& b) { return vmul_u8(a,b); }
template<> EIGEN_STRONG_INLINE Packet16uc pmul<Packet16uc>(const Packet16uc& a, const Packet16uc& b) { return vmulq_u8(a,b); }
template<> EIGEN_STRONG_INLINE Packet4s pmul<Packet4s>(const Packet4s& a, const Packet4s& b) { return vmul_s16(a,b); }
template<> EIGEN_STRONG_INLINE Packet8s pmul<Packet8s>(const Packet8s& a, const Packet8s& b) { return vmulq_s16(a,b); }
template<> EIGEN_STRONG_INLINE Packet4us pmul<Packet4us>(const Packet4us& a, const Packet4us& b) { return vmul_u16(a,b); }
template<> EIGEN_STRONG_INLINE Packet8us pmul<Packet8us>(const Packet8us& a, const Packet8us& b) { return vmulq_u16(a,b); }
template<> EIGEN_STRONG_INLINE Packet2i pmul<Packet2i>(const Packet2i& a, const Packet2i& b) { return vmul_s32(a,b); }
template<> EIGEN_STRONG_INLINE Packet4i pmul<Packet4i>(const Packet4i& a, const Packet4i& b) { return vmulq_s32(a,b); }
template<> EIGEN_STRONG_INLINE Packet2ui pmul<Packet2ui>(const Packet2ui& a, const Packet2ui& b) { return vmul_u32(a,b); }
template<> EIGEN_STRONG_INLINE Packet4ui pmul<Packet4ui>(const Packet4ui& a, const Packet4ui& b) { return vmulq_u32(a,b); }
template<> EIGEN_STRONG_INLINE Packet2l pmul<Packet2l>(const Packet2l& a, const Packet2l& b) {
  return vcombine_s64(
    vdup_n_s64(vgetq_lane_s64(a, 0)*vgetq_lane_s64(b, 0)),
    vdup_n_s64(vgetq_lane_s64(a, 1)*vgetq_lane_s64(b, 1)));
}
template<> EIGEN_STRONG_INLINE Packet2ul pmul<Packet2ul>(const Packet2ul& a, const Packet2ul& b) {
  return vcombine_u64(
    vdup_n_u64(vgetq_lane_u64(a, 0)*vgetq_lane_u64(b, 0)),
    vdup_n_u64(vgetq_lane_u64(a, 1)*vgetq_lane_u64(b, 1)));
}

template<> EIGEN_STRONG_INLINE Packet2f pdiv<Packet2f>(const Packet2f& a, const Packet2f& b)
{
#if EIGEN_ARCH_ARM64
  return vdiv_f32(a,b);
#else
  Packet2f inv, restep, div;

  // NEON does not offer a divide instruction, we have to do a reciprocal approximation
  // However NEON in contrast to other SIMD engines (AltiVec/SSE), offers
  // a reciprocal estimate AND a reciprocal step -which saves a few instructions
  // vrecpeq_f32() returns an estimate to 1/b, which we will finetune with
  // Newton-Raphson and vrecpsq_f32()
  inv = vrecpe_f32(b);

  // This returns a differential, by which we will have to multiply inv to get a better
  // approximation of 1/b.
  restep = vrecps_f32(b, inv);
  inv = vmul_f32(restep, inv);

  // Finally, multiply a by 1/b and get the wanted result of the division.
  div = vmul_f32(a, inv);

  return div;
#endif
}
template<> EIGEN_STRONG_INLINE Packet4f pdiv<Packet4f>(const Packet4f& a, const Packet4f& b)
{
#if EIGEN_ARCH_ARM64
  return vdivq_f32(a,b);
#else
  Packet4f inv, restep, div;

  // NEON does not offer a divide instruction, we have to do a reciprocal approximation
  // However NEON in contrast to other SIMD engines (AltiVec/SSE), offers
  // a reciprocal estimate AND a reciprocal step -which saves a few instructions
  // vrecpeq_f32() returns an estimate to 1/b, which we will finetune with
  // Newton-Raphson and vrecpsq_f32()
  inv = vrecpeq_f32(b);

  // This returns a differential, by which we will have to multiply inv to get a better
  // approximation of 1/b.
  restep = vrecpsq_f32(b, inv);
  inv = vmulq_f32(restep, inv);

  // Finally, multiply a by 1/b and get the wanted result of the division.
  div = vmulq_f32(a, inv);

  return div;
#endif
}

template<> EIGEN_STRONG_INLINE Packet4c pdiv<Packet4c>(const Packet4c& /*a*/, const Packet4c& /*b*/)
{
  eigen_assert(false && "packet integer division are not supported by NEON");
  return pset1<Packet4c>(0);
}
template<> EIGEN_STRONG_INLINE Packet8c pdiv<Packet8c>(const Packet8c& /*a*/, const Packet8c& /*b*/)
{
  eigen_assert(false && "packet integer division are not supported by NEON");
  return pset1<Packet8c>(0);
}
template<> EIGEN_STRONG_INLINE Packet16c pdiv<Packet16c>(const Packet16c& /*a*/, const Packet16c& /*b*/)
{
  eigen_assert(false && "packet integer division are not supported by NEON");
  return pset1<Packet16c>(0);
}
template<> EIGEN_STRONG_INLINE Packet4uc pdiv<Packet4uc>(const Packet4uc& /*a*/, const Packet4uc& /*b*/)
{
  eigen_assert(false && "packet integer division are not supported by NEON");
  return pset1<Packet4uc>(0);
}
template<> EIGEN_STRONG_INLINE Packet8uc pdiv<Packet8uc>(const Packet8uc& /*a*/, const Packet8uc& /*b*/)
{
  eigen_assert(false && "packet integer division are not supported by NEON");
  return pset1<Packet8uc>(0);
}
template<> EIGEN_STRONG_INLINE Packet16uc pdiv<Packet16uc>(const Packet16uc& /*a*/, const Packet16uc& /*b*/)
{
  eigen_assert(false && "packet integer division are not supported by NEON");
  return pset1<Packet16uc>(0);
}
template<> EIGEN_STRONG_INLINE Packet4s pdiv<Packet4s>(const Packet4s& /*a*/, const Packet4s& /*b*/)
{
  eigen_assert(false && "packet integer division are not supported by NEON");
  return pset1<Packet4s>(0);
}
template<> EIGEN_STRONG_INLINE Packet8s pdiv<Packet8s>(const Packet8s& /*a*/, const Packet8s& /*b*/)
{
  eigen_assert(false && "packet integer division are not supported by NEON");
  return pset1<Packet8s>(0);
}
template<> EIGEN_STRONG_INLINE Packet4us pdiv<Packet4us>(const Packet4us& /*a*/, const Packet4us& /*b*/)
{
  eigen_assert(false && "packet integer division are not supported by NEON");
  return pset1<Packet4us>(0);
}
template<> EIGEN_STRONG_INLINE Packet8us pdiv<Packet8us>(const Packet8us& /*a*/, const Packet8us& /*b*/)
{
  eigen_assert(false && "packet integer division are not supported by NEON");
  return pset1<Packet8us>(0);
}
template<> EIGEN_STRONG_INLINE Packet2i pdiv<Packet2i>(const Packet2i& /*a*/, const Packet2i& /*b*/)
{
  eigen_assert(false && "packet integer division are not supported by NEON");
  return pset1<Packet2i>(0);
}
template<> EIGEN_STRONG_INLINE Packet4i pdiv<Packet4i>(const Packet4i& /*a*/, const Packet4i& /*b*/)
{
  eigen_assert(false && "packet integer division are not supported by NEON");
  return pset1<Packet4i>(0);
}
template<> EIGEN_STRONG_INLINE Packet2ui pdiv<Packet2ui>(const Packet2ui& /*a*/, const Packet2ui& /*b*/)
{
  eigen_assert(false && "packet integer division are not supported by NEON");
  return pset1<Packet2ui>(0);
}
template<> EIGEN_STRONG_INLINE Packet4ui pdiv<Packet4ui>(const Packet4ui& /*a*/, const Packet4ui& /*b*/)
{
  eigen_assert(false && "packet integer division are not supported by NEON");
  return pset1<Packet4ui>(0);
}
template<> EIGEN_STRONG_INLINE Packet2l pdiv<Packet2l>(const Packet2l& /*a*/, const Packet2l& /*b*/)
{
  eigen_assert(false && "packet integer division are not supported by NEON");
  return pset1<Packet2l>(0LL);
}
template<> EIGEN_STRONG_INLINE Packet2ul pdiv<Packet2ul>(const Packet2ul& /*a*/, const Packet2ul& /*b*/)
{
  eigen_assert(false && "packet integer division are not supported by NEON");
  return pset1<Packet2ul>(0ULL);
}

#ifdef __ARM_FEATURE_FMA
template<> EIGEN_STRONG_INLINE Packet4f pmadd(const Packet4f& a, const Packet4f& b, const Packet4f& c)
{ return vfmaq_f32(c,a,b); }
template<> EIGEN_STRONG_INLINE Packet2f pmadd(const Packet2f& a, const Packet2f& b, const Packet2f& c)
{ return vfma_f32(c,a,b); }
#else
template<> EIGEN_STRONG_INLINE Packet4f pmadd(const Packet4f& a, const Packet4f& b, const Packet4f& c)
{
  return vmlaq_f32(c,a,b);
}
template<> EIGEN_STRONG_INLINE Packet2f pmadd(const Packet2f& a, const Packet2f& b, const Packet2f& c)
{
  return vmla_f32(c,a,b);
}
#endif

// No FMA instruction for int, so use MLA unconditionally.
template<> EIGEN_STRONG_INLINE Packet4c pmadd(const Packet4c& a, const Packet4c& b, const Packet4c& c)
{
  return vget_lane_s32(vreinterpret_s32_s8(vmla_s8(
      vreinterpret_s8_s32(vdup_n_s32(c)),
      vreinterpret_s8_s32(vdup_n_s32(a)),
      vreinterpret_s8_s32(vdup_n_s32(b)))), 0);
}
template<> EIGEN_STRONG_INLINE Packet8c pmadd(const Packet8c& a, const Packet8c& b, const Packet8c& c)
{ return vmla_s8(c,a,b); }
template<> EIGEN_STRONG_INLINE Packet16c pmadd(const Packet16c& a, const Packet16c& b, const Packet16c& c)
{ return vmlaq_s8(c,a,b); }
template<> EIGEN_STRONG_INLINE Packet4uc pmadd(const Packet4uc& a, const Packet4uc& b, const Packet4uc& c)
{
  return vget_lane_u32(vreinterpret_u32_u8(vmla_u8(
      vreinterpret_u8_u32(vdup_n_u32(c)),
      vreinterpret_u8_u32(vdup_n_u32(a)),
      vreinterpret_u8_u32(vdup_n_u32(b)))), 0);
}
template<> EIGEN_STRONG_INLINE Packet8uc pmadd(const Packet8uc& a, const Packet8uc& b, const Packet8uc& c)
{ return vmla_u8(c,a,b); }
template<> EIGEN_STRONG_INLINE Packet16uc pmadd(const Packet16uc& a, const Packet16uc& b, const Packet16uc& c)
{ return vmlaq_u8(c,a,b); }
template<> EIGEN_STRONG_INLINE Packet4s pmadd(const Packet4s& a, const Packet4s& b, const Packet4s& c)
{ return vmla_s16(c,a,b); }
template<> EIGEN_STRONG_INLINE Packet8s pmadd(const Packet8s& a, const Packet8s& b, const Packet8s& c)
{ return vmlaq_s16(c,a,b); }
template<> EIGEN_STRONG_INLINE Packet4us pmadd(const Packet4us& a, const Packet4us& b, const Packet4us& c)
{ return vmla_u16(c,a,b); }
template<> EIGEN_STRONG_INLINE Packet8us pmadd(const Packet8us& a, const Packet8us& b, const Packet8us& c)
{ return vmlaq_u16(c,a,b); }
template<> EIGEN_STRONG_INLINE Packet2i pmadd(const Packet2i& a, const Packet2i& b, const Packet2i& c)
{ return vmla_s32(c,a,b); }
template<> EIGEN_STRONG_INLINE Packet4i pmadd(const Packet4i& a, const Packet4i& b, const Packet4i& c)
{ return vmlaq_s32(c,a,b); }
template<> EIGEN_STRONG_INLINE Packet2ui pmadd(const Packet2ui& a, const Packet2ui& b, const Packet2ui& c)
{ return vmla_u32(c,a,b); }
template<> EIGEN_STRONG_INLINE Packet4ui pmadd(const Packet4ui& a, const Packet4ui& b, const Packet4ui& c)
{ return vmlaq_u32(c,a,b); }

template<> EIGEN_STRONG_INLINE Packet2f pabsdiff<Packet2f>(const Packet2f& a, const Packet2f& b)
{ return vabd_f32(a,b); }
template<> EIGEN_STRONG_INLINE Packet4f pabsdiff<Packet4f>(const Packet4f& a, const Packet4f& b)
{ return vabdq_f32(a,b); }
template<> EIGEN_STRONG_INLINE Packet4c pabsdiff<Packet4c>(const Packet4c& a, const Packet4c& b)
{
  return vget_lane_s32(vreinterpret_s32_s8(vabd_s8(
      vreinterpret_s8_s32(vdup_n_s32(a)),
      vreinterpret_s8_s32(vdup_n_s32(b)))), 0);
}
template<> EIGEN_STRONG_INLINE Packet8c pabsdiff<Packet8c>(const Packet8c& a, const Packet8c& b)
{ return vabd_s8(a,b); }
template<> EIGEN_STRONG_INLINE Packet16c pabsdiff<Packet16c>(const Packet16c& a, const Packet16c& b)
{ return vabdq_s8(a,b); }
template<> EIGEN_STRONG_INLINE Packet4uc pabsdiff<Packet4uc>(const Packet4uc& a, const Packet4uc& b)
{
  return vget_lane_u32(vreinterpret_u32_u8(vabd_u8(
      vreinterpret_u8_u32(vdup_n_u32(a)),
      vreinterpret_u8_u32(vdup_n_u32(b)))), 0);
}
template<> EIGEN_STRONG_INLINE Packet8uc pabsdiff<Packet8uc>(const Packet8uc& a, const Packet8uc& b)
{ return vabd_u8(a,b); }
template<> EIGEN_STRONG_INLINE Packet16uc pabsdiff<Packet16uc>(const Packet16uc& a, const Packet16uc& b)
{ return vabdq_u8(a,b); }
template<> EIGEN_STRONG_INLINE Packet4s pabsdiff<Packet4s>(const Packet4s& a, const Packet4s& b)
{ return vabd_s16(a,b); }
template<> EIGEN_STRONG_INLINE Packet8s pabsdiff<Packet8s>(const Packet8s& a, const Packet8s& b)
{ return vabdq_s16(a,b); }
template<> EIGEN_STRONG_INLINE Packet4us pabsdiff<Packet4us>(const Packet4us& a, const Packet4us& b)
{ return vabd_u16(a,b); }
template<> EIGEN_STRONG_INLINE Packet8us pabsdiff<Packet8us>(const Packet8us& a, const Packet8us& b)
{ return vabdq_u16(a,b); }
template<> EIGEN_STRONG_INLINE Packet2i pabsdiff<Packet2i>(const Packet2i& a, const Packet2i& b)
{ return vabd_s32(a,b); }
template<> EIGEN_STRONG_INLINE Packet4i pabsdiff<Packet4i>(const Packet4i& a, const Packet4i& b)
{ return vabdq_s32(a,b); }
template<> EIGEN_STRONG_INLINE Packet2ui pabsdiff<Packet2ui>(const Packet2ui& a, const Packet2ui& b)
{ return vabd_u32(a,b); }
template<> EIGEN_STRONG_INLINE Packet4ui pabsdiff<Packet4ui>(const Packet4ui& a, const Packet4ui& b)
{ return vabdq_u32(a,b); }

template<> EIGEN_STRONG_INLINE Packet2f pmin<Packet2f>(const Packet2f& a, const Packet2f& b) { return vmin_f32(a,b); }
template<> EIGEN_STRONG_INLINE Packet4f pmin<Packet4f>(const Packet4f& a, const Packet4f& b) { return vminq_f32(a,b); }

#ifdef __ARM_FEATURE_NUMERIC_MAXMIN
// numeric max and min are only available if ARM_FEATURE_NUMERIC_MAXMIN is defined (which can only be the case for Armv8 systems).
template<> EIGEN_STRONG_INLINE Packet4f pmin<PropagateNumbers, Packet4f>(const Packet4f& a, const Packet4f& b) { return vminnmq_f32(a, b); }
template<> EIGEN_STRONG_INLINE Packet2f pmin<PropagateNumbers, Packet2f>(const Packet2f& a, const Packet2f& b) { return vminnm_f32(a, b); }
#endif

template<> EIGEN_STRONG_INLINE Packet4f pmin<PropagateNaN, Packet4f>(const Packet4f& a, const Packet4f& b) { return pmin<Packet4f>(a, b); }

template<> EIGEN_STRONG_INLINE Packet2f pmin<PropagateNaN, Packet2f>(const Packet2f& a, const Packet2f& b) { return pmin<Packet2f>(a, b); }

template<> EIGEN_STRONG_INLINE Packet4c pmin<Packet4c>(const Packet4c& a, const Packet4c& b)
{
  return vget_lane_s32(vreinterpret_s32_s8(vmin_s8(
      vreinterpret_s8_s32(vdup_n_s32(a)),
      vreinterpret_s8_s32(vdup_n_s32(b)))), 0);
}
template<> EIGEN_STRONG_INLINE Packet8c pmin<Packet8c>(const Packet8c& a, const Packet8c& b) { return vmin_s8(a,b); }
template<> EIGEN_STRONG_INLINE Packet16c pmin<Packet16c>(const Packet16c& a, const Packet16c& b) { return vminq_s8(a,b); }
template<> EIGEN_STRONG_INLINE Packet4uc pmin<Packet4uc>(const Packet4uc& a, const Packet4uc& b)
{
  return vget_lane_u32(vreinterpret_u32_u8(vmin_u8(
      vreinterpret_u8_u32(vdup_n_u32(a)),
      vreinterpret_u8_u32(vdup_n_u32(b)))), 0);
}
template<> EIGEN_STRONG_INLINE Packet8uc pmin<Packet8uc>(const Packet8uc& a, const Packet8uc& b) { return vmin_u8(a,b); }
template<> EIGEN_STRONG_INLINE Packet16uc pmin<Packet16uc>(const Packet16uc& a, const Packet16uc& b) { return vminq_u8(a,b); }
template<> EIGEN_STRONG_INLINE Packet4s pmin<Packet4s>(const Packet4s& a, const Packet4s& b) { return vmin_s16(a,b); }
template<> EIGEN_STRONG_INLINE Packet8s pmin<Packet8s>(const Packet8s& a, const Packet8s& b) { return vminq_s16(a,b); }
template<> EIGEN_STRONG_INLINE Packet4us pmin<Packet4us>(const Packet4us& a, const Packet4us& b) { return vmin_u16(a,b); }
template<> EIGEN_STRONG_INLINE Packet8us pmin<Packet8us>(const Packet8us& a, const Packet8us& b) { return vminq_u16(a,b); }
template<> EIGEN_STRONG_INLINE Packet2i pmin<Packet2i>(const Packet2i& a, const Packet2i& b) { return vmin_s32(a,b); }
template<> EIGEN_STRONG_INLINE Packet4i pmin<Packet4i>(const Packet4i& a, const Packet4i& b) { return vminq_s32(a,b); }
template<> EIGEN_STRONG_INLINE Packet2ui pmin<Packet2ui>(const Packet2ui& a, const Packet2ui& b) { return vmin_u32(a,b); }
template<> EIGEN_STRONG_INLINE Packet4ui pmin<Packet4ui>(const Packet4ui& a, const Packet4ui& b) { return vminq_u32(a,b); }
template<> EIGEN_STRONG_INLINE Packet2l pmin<Packet2l>(const Packet2l& a, const Packet2l& b) {
  return vcombine_s64(
      vdup_n_s64((std::min)(vgetq_lane_s64(a, 0), vgetq_lane_s64(b, 0))),
      vdup_n_s64((std::min)(vgetq_lane_s64(a, 1), vgetq_lane_s64(b, 1))));
}
template<> EIGEN_STRONG_INLINE Packet2ul pmin<Packet2ul>(const Packet2ul& a, const Packet2ul& b) {
  return vcombine_u64(
      vdup_n_u64((std::min)(vgetq_lane_u64(a, 0), vgetq_lane_u64(b, 0))),
      vdup_n_u64((std::min)(vgetq_lane_u64(a, 1), vgetq_lane_u64(b, 1))));
}

template<> EIGEN_STRONG_INLINE Packet2f pmax<Packet2f>(const Packet2f& a, const Packet2f& b) { return vmax_f32(a,b); }
template<> EIGEN_STRONG_INLINE Packet4f pmax<Packet4f>(const Packet4f& a, const Packet4f& b) { return vmaxq_f32(a,b); }

#ifdef __ARM_FEATURE_NUMERIC_MAXMIN
// numeric max and min are only available if ARM_FEATURE_NUMERIC_MAXMIN is defined (which can only be the case for Armv8 systems).
template<> EIGEN_STRONG_INLINE Packet4f pmax<PropagateNumbers, Packet4f>(const Packet4f& a, const Packet4f& b) { return vmaxnmq_f32(a, b); }
template<> EIGEN_STRONG_INLINE Packet2f pmax<PropagateNumbers, Packet2f>(const Packet2f& a, const Packet2f& b) { return vmaxnm_f32(a, b); }
#endif

template<> EIGEN_STRONG_INLINE Packet4f pmax<PropagateNaN, Packet4f>(const Packet4f& a, const Packet4f& b) { return pmax<Packet4f>(a, b); }

template<> EIGEN_STRONG_INLINE Packet2f pmax<PropagateNaN, Packet2f>(const Packet2f& a, const Packet2f& b) { return pmax<Packet2f>(a, b); }

template<> EIGEN_STRONG_INLINE Packet4c pmax<Packet4c>(const Packet4c& a, const Packet4c& b)
{
  return vget_lane_s32(vreinterpret_s32_s8(vmax_s8(
      vreinterpret_s8_s32(vdup_n_s32(a)),
      vreinterpret_s8_s32(vdup_n_s32(b)))), 0);
}
template<> EIGEN_STRONG_INLINE Packet8c pmax<Packet8c>(const Packet8c& a, const Packet8c& b) { return vmax_s8(a,b); }
template<> EIGEN_STRONG_INLINE Packet16c pmax<Packet16c>(const Packet16c& a, const Packet16c& b) { return vmaxq_s8(a,b); }
template<> EIGEN_STRONG_INLINE Packet4uc pmax<Packet4uc>(const Packet4uc& a, const Packet4uc& b)
{
  return vget_lane_u32(vreinterpret_u32_u8(vmax_u8(
      vreinterpret_u8_u32(vdup_n_u32(a)),
      vreinterpret_u8_u32(vdup_n_u32(b)))), 0);
}
template<> EIGEN_STRONG_INLINE Packet8uc pmax<Packet8uc>(const Packet8uc& a, const Packet8uc& b) { return vmax_u8(a,b); }
template<> EIGEN_STRONG_INLINE Packet16uc pmax<Packet16uc>(const Packet16uc& a, const Packet16uc& b) { return vmaxq_u8(a,b); }
template<> EIGEN_STRONG_INLINE Packet4s pmax<Packet4s>(const Packet4s& a, const Packet4s& b) { return vmax_s16(a,b); }
template<> EIGEN_STRONG_INLINE Packet8s pmax<Packet8s>(const Packet8s& a, const Packet8s& b) { return vmaxq_s16(a,b); }
template<> EIGEN_STRONG_INLINE Packet4us pmax<Packet4us>(const Packet4us& a, const Packet4us& b) { return vmax_u16(a,b); }
template<> EIGEN_STRONG_INLINE Packet8us pmax<Packet8us>(const Packet8us& a, const Packet8us& b) { return vmaxq_u16(a,b); }
template<> EIGEN_STRONG_INLINE Packet2i pmax<Packet2i>(const Packet2i& a, const Packet2i& b) { return vmax_s32(a,b); }
template<> EIGEN_STRONG_INLINE Packet4i pmax<Packet4i>(const Packet4i& a, const Packet4i& b) { return vmaxq_s32(a,b); }
template<> EIGEN_STRONG_INLINE Packet2ui pmax<Packet2ui>(const Packet2ui& a, const Packet2ui& b) { return vmax_u32(a,b); }
template<> EIGEN_STRONG_INLINE Packet4ui pmax<Packet4ui>(const Packet4ui& a, const Packet4ui& b) { return vmaxq_u32(a,b); }
template<> EIGEN_STRONG_INLINE Packet2l pmax<Packet2l>(const Packet2l& a, const Packet2l& b) {
  return vcombine_s64(
      vdup_n_s64((std::max)(vgetq_lane_s64(a, 0), vgetq_lane_s64(b, 0))),
      vdup_n_s64((std::max)(vgetq_lane_s64(a, 1), vgetq_lane_s64(b, 1))));
}
template<> EIGEN_STRONG_INLINE Packet2ul pmax<Packet2ul>(const Packet2ul& a, const Packet2ul& b) {
  return vcombine_u64(
      vdup_n_u64((std::max)(vgetq_lane_u64(a, 0), vgetq_lane_u64(b, 0))),
      vdup_n_u64((std::max)(vgetq_lane_u64(a, 1), vgetq_lane_u64(b, 1))));
}

template<> EIGEN_STRONG_INLINE Packet2f pcmp_le<Packet2f>(const Packet2f& a, const Packet2f& b)
{ return vreinterpret_f32_u32(vcle_f32(a,b)); }
template<> EIGEN_STRONG_INLINE Packet4f pcmp_le<Packet4f>(const Packet4f& a, const Packet4f& b)
{ return vreinterpretq_f32_u32(vcleq_f32(a,b)); }
template<> EIGEN_STRONG_INLINE Packet4c pcmp_le<Packet4c>(const Packet4c& a, const Packet4c& b)
{
  return vget_lane_s32(vreinterpret_s32_u8(vcle_s8(
      vreinterpret_s8_s32(vdup_n_s32(a)),
      vreinterpret_s8_s32(vdup_n_s32(b)))), 0);
}
template<> EIGEN_STRONG_INLINE Packet8c pcmp_le<Packet8c>(const Packet8c& a, const Packet8c& b)
{ return vreinterpret_s8_u8(vcle_s8(a,b)); }
template<> EIGEN_STRONG_INLINE Packet16c pcmp_le<Packet16c>(const Packet16c& a, const Packet16c& b)
{ return vreinterpretq_s8_u8(vcleq_s8(a,b)); }
template<> EIGEN_STRONG_INLINE Packet4uc pcmp_le<Packet4uc>(const Packet4uc& a, const Packet4uc& b)
{
  return vget_lane_u32(vreinterpret_u32_u8(vcle_u8(
      vreinterpret_u8_u32(vdup_n_u32(a)),
      vreinterpret_u8_u32(vdup_n_u32(b)))), 0);
}
template<> EIGEN_STRONG_INLINE Packet8uc pcmp_le<Packet8uc>(const Packet8uc& a, const Packet8uc& b)
{ return vcle_u8(a,b); }
template<> EIGEN_STRONG_INLINE Packet16uc pcmp_le<Packet16uc>(const Packet16uc& a, const Packet16uc& b)
{ return vcleq_u8(a,b); }
template<> EIGEN_STRONG_INLINE Packet4s pcmp_le<Packet4s>(const Packet4s& a, const Packet4s& b)
{ return vreinterpret_s16_u16(vcle_s16(a,b)); }
template<> EIGEN_STRONG_INLINE Packet8s pcmp_le<Packet8s>(const Packet8s& a, const Packet8s& b)
{ return vreinterpretq_s16_u16(vcleq_s16(a,b)); }
template<> EIGEN_STRONG_INLINE Packet4us pcmp_le<Packet4us>(const Packet4us& a, const Packet4us& b)
{ return vcle_u16(a,b); }
template<> EIGEN_STRONG_INLINE Packet8us pcmp_le<Packet8us>(const Packet8us& a, const Packet8us& b)
{ return vcleq_u16(a,b); }
template<> EIGEN_STRONG_INLINE Packet2i pcmp_le<Packet2i>(const Packet2i& a, const Packet2i& b)
{ return vreinterpret_s32_u32(vcle_s32(a,b)); }
template<> EIGEN_STRONG_INLINE Packet4i pcmp_le<Packet4i>(const Packet4i& a, const Packet4i& b)
{ return vreinterpretq_s32_u32(vcleq_s32(a,b)); }
template<> EIGEN_STRONG_INLINE Packet2ui pcmp_le<Packet2ui>(const Packet2ui& a, const Packet2ui& b)
{ return vcle_u32(a,b); }
template<> EIGEN_STRONG_INLINE Packet4ui pcmp_le<Packet4ui>(const Packet4ui& a, const Packet4ui& b)
{ return vcleq_u32(a,b); }
template<> EIGEN_STRONG_INLINE Packet2l pcmp_le<Packet2l>(const Packet2l& a, const Packet2l& b)
{
#if EIGEN_ARCH_ARM64
  return vreinterpretq_s64_u64(vcleq_s64(a,b));
#else
  return vcombine_s64(
      vdup_n_s64(vgetq_lane_s64(a, 0) <= vgetq_lane_s64(b, 0) ? numext::int64_t(-1) : 0),
      vdup_n_s64(vgetq_lane_s64(a, 1) <= vgetq_lane_s64(b, 1) ? numext::int64_t(-1) : 0));
#endif
}
template<> EIGEN_STRONG_INLINE Packet2ul pcmp_le<Packet2ul>(const Packet2ul& a, const Packet2ul& b)
{
#if EIGEN_ARCH_ARM64
  return vcleq_u64(a,b);
#else
  return vcombine_u64(
      vdup_n_u64(vgetq_lane_u64(a, 0) <= vgetq_lane_u64(b, 0) ? numext::uint64_t(-1) : 0),
      vdup_n_u64(vgetq_lane_u64(a, 1) <= vgetq_lane_u64(b, 1) ? numext::uint64_t(-1) : 0));
#endif
}

template<> EIGEN_STRONG_INLINE Packet2f pcmp_lt<Packet2f>(const Packet2f& a, const Packet2f& b)
{ return vreinterpret_f32_u32(vclt_f32(a,b)); }
template<> EIGEN_STRONG_INLINE Packet4f pcmp_lt<Packet4f>(const Packet4f& a, const Packet4f& b)
{ return vreinterpretq_f32_u32(vcltq_f32(a,b)); }
template<> EIGEN_STRONG_INLINE Packet4c pcmp_lt<Packet4c>(const Packet4c& a, const Packet4c& b)
{
  return vget_lane_s32(vreinterpret_s32_u8(vclt_s8(
      vreinterpret_s8_s32(vdup_n_s32(a)),
      vreinterpret_s8_s32(vdup_n_s32(b)))), 0);
}
template<> EIGEN_STRONG_INLINE Packet8c pcmp_lt<Packet8c>(const Packet8c& a, const Packet8c& b)
{ return vreinterpret_s8_u8(vclt_s8(a,b)); }
template<> EIGEN_STRONG_INLINE Packet16c pcmp_lt<Packet16c>(const Packet16c& a, const Packet16c& b)
{ return vreinterpretq_s8_u8(vcltq_s8(a,b)); }
template<> EIGEN_STRONG_INLINE Packet4uc pcmp_lt<Packet4uc>(const Packet4uc& a, const Packet4uc& b)
{
  return vget_lane_u32(vreinterpret_u32_u8(vclt_u8(
      vreinterpret_u8_u32(vdup_n_u32(a)),
      vreinterpret_u8_u32(vdup_n_u32(b)))), 0);
}
template<> EIGEN_STRONG_INLINE Packet8uc pcmp_lt<Packet8uc>(const Packet8uc& a, const Packet8uc& b)
{ return vclt_u8(a,b); }
template<> EIGEN_STRONG_INLINE Packet16uc pcmp_lt<Packet16uc>(const Packet16uc& a, const Packet16uc& b)
{ return vcltq_u8(a,b); }
template<> EIGEN_STRONG_INLINE Packet4s pcmp_lt<Packet4s>(const Packet4s& a, const Packet4s& b)
{ return vreinterpret_s16_u16(vclt_s16(a,b)); }
template<> EIGEN_STRONG_INLINE Packet8s pcmp_lt<Packet8s>(const Packet8s& a, const Packet8s& b)
{ return vreinterpretq_s16_u16(vcltq_s16(a,b)); }
template<> EIGEN_STRONG_INLINE Packet4us pcmp_lt<Packet4us>(const Packet4us& a, const Packet4us& b)
{ return vclt_u16(a,b); }
template<> EIGEN_STRONG_INLINE Packet8us pcmp_lt<Packet8us>(const Packet8us& a, const Packet8us& b)
{ return vcltq_u16(a,b); }
template<> EIGEN_STRONG_INLINE Packet2i pcmp_lt<Packet2i>(const Packet2i& a, const Packet2i& b)
{ return vreinterpret_s32_u32(vclt_s32(a,b)); }
template<> EIGEN_STRONG_INLINE Packet4i pcmp_lt<Packet4i>(const Packet4i& a, const Packet4i& b)
{ return vreinterpretq_s32_u32(vcltq_s32(a,b)); }
template<> EIGEN_STRONG_INLINE Packet2ui pcmp_lt<Packet2ui>(const Packet2ui& a, const Packet2ui& b)
{ return vclt_u32(a,b); }
template<> EIGEN_STRONG_INLINE Packet4ui pcmp_lt<Packet4ui>(const Packet4ui& a, const Packet4ui& b)
{ return vcltq_u32(a,b); }
template<> EIGEN_STRONG_INLINE Packet2l pcmp_lt<Packet2l>(const Packet2l& a, const Packet2l& b)
{
#if EIGEN_ARCH_ARM64
  return vreinterpretq_s64_u64(vcltq_s64(a,b));
#else
  return vcombine_s64(
      vdup_n_s64(vgetq_lane_s64(a, 0) < vgetq_lane_s64(b, 0) ? numext::int64_t(-1) : 0),
      vdup_n_s64(vgetq_lane_s64(a, 1) < vgetq_lane_s64(b, 1) ? numext::int64_t(-1) : 0));
#endif
}
template<> EIGEN_STRONG_INLINE Packet2ul pcmp_lt<Packet2ul>(const Packet2ul& a, const Packet2ul& b)
{
#if EIGEN_ARCH_ARM64
  return vcltq_u64(a,b);
#else
  return vcombine_u64(
      vdup_n_u64(vgetq_lane_u64(a, 0) < vgetq_lane_u64(b, 0) ? numext::uint64_t(-1) : 0),
      vdup_n_u64(vgetq_lane_u64(a, 1) < vgetq_lane_u64(b, 1) ? numext::uint64_t(-1) : 0));
#endif
}

template<> EIGEN_STRONG_INLINE Packet2f pcmp_eq<Packet2f>(const Packet2f& a, const Packet2f& b)
{ return vreinterpret_f32_u32(vceq_f32(a,b)); }
template<> EIGEN_STRONG_INLINE Packet4f pcmp_eq<Packet4f>(const Packet4f& a, const Packet4f& b)
{ return vreinterpretq_f32_u32(vceqq_f32(a,b)); }
template<> EIGEN_STRONG_INLINE Packet4c pcmp_eq<Packet4c>(const Packet4c& a, const Packet4c& b)
{
  return vget_lane_s32(vreinterpret_s32_u8(vceq_s8(
      vreinterpret_s8_s32(vdup_n_s32(a)),
      vreinterpret_s8_s32(vdup_n_s32(b)))), 0);
}
template<> EIGEN_STRONG_INLINE Packet8c pcmp_eq<Packet8c>(const Packet8c& a, const Packet8c& b)
{ return vreinterpret_s8_u8(vceq_s8(a,b)); }
template<> EIGEN_STRONG_INLINE Packet16c pcmp_eq<Packet16c>(const Packet16c& a, const Packet16c& b)
{ return vreinterpretq_s8_u8(vceqq_s8(a,b)); }
template<> EIGEN_STRONG_INLINE Packet4uc pcmp_eq<Packet4uc>(const Packet4uc& a, const Packet4uc& b)
{
  return vget_lane_u32(vreinterpret_u32_u8(vceq_u8(
      vreinterpret_u8_u32(vdup_n_u32(a)),
      vreinterpret_u8_u32(vdup_n_u32(b)))), 0);
}
template<> EIGEN_STRONG_INLINE Packet8uc pcmp_eq<Packet8uc>(const Packet8uc& a, const Packet8uc& b)
{ return vceq_u8(a,b); }
template<> EIGEN_STRONG_INLINE Packet16uc pcmp_eq<Packet16uc>(const Packet16uc& a, const Packet16uc& b)
{ return vceqq_u8(a,b); }
template<> EIGEN_STRONG_INLINE Packet4s pcmp_eq<Packet4s>(const Packet4s& a, const Packet4s& b)
{ return vreinterpret_s16_u16(vceq_s16(a,b)); }
template<> EIGEN_STRONG_INLINE Packet8s pcmp_eq<Packet8s>(const Packet8s& a, const Packet8s& b)
{ return vreinterpretq_s16_u16(vceqq_s16(a,b)); }
template<> EIGEN_STRONG_INLINE Packet4us pcmp_eq<Packet4us>(const Packet4us& a, const Packet4us& b)
{ return vceq_u16(a,b); }
template<> EIGEN_STRONG_INLINE Packet8us pcmp_eq<Packet8us>(const Packet8us& a, const Packet8us& b)
{ return vceqq_u16(a,b); }
template<> EIGEN_STRONG_INLINE Packet2i pcmp_eq<Packet2i>(const Packet2i& a, const Packet2i& b)
{ return vreinterpret_s32_u32(vceq_s32(a,b)); }
template<> EIGEN_STRONG_INLINE Packet4i pcmp_eq<Packet4i>(const Packet4i& a, const Packet4i& b)
{ return vreinterpretq_s32_u32(vceqq_s32(a,b)); }
template<> EIGEN_STRONG_INLINE Packet2ui pcmp_eq<Packet2ui>(const Packet2ui& a, const Packet2ui& b)
{ return vceq_u32(a,b); }
template<> EIGEN_STRONG_INLINE Packet4ui pcmp_eq<Packet4ui>(const Packet4ui& a, const Packet4ui& b)
{ return vceqq_u32(a,b); }
template<> EIGEN_STRONG_INLINE Packet2l pcmp_eq<Packet2l>(const Packet2l& a, const Packet2l& b)
{
#if EIGEN_ARCH_ARM64
  return vreinterpretq_s64_u64(vceqq_s64(a,b));
#else
  return vcombine_s64(
      vdup_n_s64(vgetq_lane_s64(a, 0) == vgetq_lane_s64(b, 0) ? numext::int64_t(-1) : 0),
      vdup_n_s64(vgetq_lane_s64(a, 1) == vgetq_lane_s64(b, 1) ? numext::int64_t(-1) : 0));
#endif
}
template<> EIGEN_STRONG_INLINE Packet2ul pcmp_eq<Packet2ul>(const Packet2ul& a, const Packet2ul& b)
{
#if EIGEN_ARCH_ARM64
  return vceqq_u64(a,b);
#else
  return vcombine_u64(
      vdup_n_u64(vgetq_lane_u64(a, 0) == vgetq_lane_u64(b, 0) ? numext::uint64_t(-1) : 0),
      vdup_n_u64(vgetq_lane_u64(a, 1) == vgetq_lane_u64(b, 1) ? numext::uint64_t(-1) : 0));
#endif
}

template<> EIGEN_STRONG_INLINE Packet2f pcmp_lt_or_nan<Packet2f>(const Packet2f& a, const Packet2f& b)
{ return vreinterpret_f32_u32(vmvn_u32(vcge_f32(a,b))); }
template<> EIGEN_STRONG_INLINE Packet4f pcmp_lt_or_nan<Packet4f>(const Packet4f& a, const Packet4f& b)
{ return vreinterpretq_f32_u32(vmvnq_u32(vcgeq_f32(a,b))); }

// Logical Operations are not supported for float, so we have to reinterpret casts using NEON intrinsics
template<> EIGEN_STRONG_INLINE Packet2f pand<Packet2f>(const Packet2f& a, const Packet2f& b)
{ return vreinterpret_f32_u32(vand_u32(vreinterpret_u32_f32(a),vreinterpret_u32_f32(b))); }
template<> EIGEN_STRONG_INLINE Packet4f pand<Packet4f>(const Packet4f& a, const Packet4f& b)
{ return vreinterpretq_f32_u32(vandq_u32(vreinterpretq_u32_f32(a),vreinterpretq_u32_f32(b))); }
template<> EIGEN_STRONG_INLINE Packet4c pand<Packet4c>(const Packet4c& a, const Packet4c& b)
{ return a & b; }
template<> EIGEN_STRONG_INLINE Packet8c pand<Packet8c>(const Packet8c& a, const Packet8c& b)
{ return vand_s8(a,b); }
template<> EIGEN_STRONG_INLINE Packet16c pand<Packet16c>(const Packet16c& a, const Packet16c& b)
{ return vandq_s8(a,b); }
template<> EIGEN_STRONG_INLINE Packet4uc pand<Packet4uc>(const Packet4uc& a, const Packet4uc& b)
{ return a & b; }
template<> EIGEN_STRONG_INLINE Packet8uc pand<Packet8uc>(const Packet8uc& a, const Packet8uc& b)
{ return vand_u8(a,b); }
template<> EIGEN_STRONG_INLINE Packet16uc pand<Packet16uc>(const Packet16uc& a, const Packet16uc& b)
{ return vandq_u8(a,b); }
template<> EIGEN_STRONG_INLINE Packet4s pand<Packet4s>(const Packet4s& a, const Packet4s& b) { return vand_s16(a,b); }
template<> EIGEN_STRONG_INLINE Packet8s pand<Packet8s>(const Packet8s& a, const Packet8s& b) { return vandq_s16(a,b); }
template<> EIGEN_STRONG_INLINE Packet4us pand<Packet4us>(const Packet4us& a, const Packet4us& b)
{ return vand_u16(a,b); }
template<> EIGEN_STRONG_INLINE Packet8us pand<Packet8us>(const Packet8us& a, const Packet8us& b)
{ return vandq_u16(a,b); }
template<> EIGEN_STRONG_INLINE Packet2i pand<Packet2i>(const Packet2i& a, const Packet2i& b) { return vand_s32(a,b); }
template<> EIGEN_STRONG_INLINE Packet4i pand<Packet4i>(const Packet4i& a, const Packet4i& b) { return vandq_s32(a,b); }
template<> EIGEN_STRONG_INLINE Packet2ui pand<Packet2ui>(const Packet2ui& a, const Packet2ui& b)
{ return vand_u32(a,b); }
template<> EIGEN_STRONG_INLINE Packet4ui pand<Packet4ui>(const Packet4ui& a, const Packet4ui& b)
{ return vandq_u32(a,b); }
template<> EIGEN_STRONG_INLINE Packet2l pand<Packet2l>(const Packet2l& a, const Packet2l& b) { return vandq_s64(a,b); }
template<> EIGEN_STRONG_INLINE Packet2ul pand<Packet2ul>(const Packet2ul& a, const Packet2ul& b)
{ return vandq_u64(a,b); }

template<> EIGEN_STRONG_INLINE Packet2f por<Packet2f>(const Packet2f& a, const Packet2f& b)
{ return vreinterpret_f32_u32(vorr_u32(vreinterpret_u32_f32(a),vreinterpret_u32_f32(b))); }
template<> EIGEN_STRONG_INLINE Packet4f por<Packet4f>(const Packet4f& a, const Packet4f& b)
{ return vreinterpretq_f32_u32(vorrq_u32(vreinterpretq_u32_f32(a),vreinterpretq_u32_f32(b))); }
template<> EIGEN_STRONG_INLINE Packet4c por<Packet4c>(const Packet4c& a, const Packet4c& b)
{ return a | b; }
template<> EIGEN_STRONG_INLINE Packet8c por<Packet8c>(const Packet8c& a, const Packet8c& b) { return vorr_s8(a,b); }
template<> EIGEN_STRONG_INLINE Packet16c por<Packet16c>(const Packet16c& a, const Packet16c& b)
{ return vorrq_s8(a,b); }
template<> EIGEN_STRONG_INLINE Packet4uc por<Packet4uc>(const Packet4uc& a, const Packet4uc& b)
{ return a | b; }
template<> EIGEN_STRONG_INLINE Packet8uc por<Packet8uc>(const Packet8uc& a, const Packet8uc& b)
{ return vorr_u8(a,b); }
template<> EIGEN_STRONG_INLINE Packet16uc por<Packet16uc>(const Packet16uc& a, const Packet16uc& b)
{ return vorrq_u8(a,b); }
template<> EIGEN_STRONG_INLINE Packet4s por<Packet4s>(const Packet4s& a, const Packet4s& b)
{ return vorr_s16(a,b); }
template<> EIGEN_STRONG_INLINE Packet8s por<Packet8s>(const Packet8s& a, const Packet8s& b)
{ return vorrq_s16(a,b); }
template<> EIGEN_STRONG_INLINE Packet4us por<Packet4us>(const Packet4us& a, const Packet4us& b)
{ return vorr_u16(a,b); }
template<> EIGEN_STRONG_INLINE Packet8us por<Packet8us>(const Packet8us& a, const Packet8us& b)
{ return vorrq_u16(a,b); }
template<> EIGEN_STRONG_INLINE Packet2i por<Packet2i>(const Packet2i& a, const Packet2i& b) { return vorr_s32(a,b); }
template<> EIGEN_STRONG_INLINE Packet4i por<Packet4i>(const Packet4i& a, const Packet4i& b) { return vorrq_s32(a,b); }
template<> EIGEN_STRONG_INLINE Packet2ui por<Packet2ui>(const Packet2ui& a, const Packet2ui& b)
{ return vorr_u32(a,b); }
template<> EIGEN_STRONG_INLINE Packet4ui por<Packet4ui>(const Packet4ui& a, const Packet4ui& b)
{ return vorrq_u32(a,b); }
template<> EIGEN_STRONG_INLINE Packet2l por<Packet2l>(const Packet2l& a, const Packet2l& b)
{ return vorrq_s64(a,b); }
template<> EIGEN_STRONG_INLINE Packet2ul por<Packet2ul>(const Packet2ul& a, const Packet2ul& b)
{ return vorrq_u64(a,b); }

template<> EIGEN_STRONG_INLINE Packet2f pxor<Packet2f>(const Packet2f& a, const Packet2f& b)
{ return vreinterpret_f32_u32(veor_u32(vreinterpret_u32_f32(a),vreinterpret_u32_f32(b))); }
template<> EIGEN_STRONG_INLINE Packet4f pxor<Packet4f>(const Packet4f& a, const Packet4f& b)
{ return vreinterpretq_f32_u32(veorq_u32(vreinterpretq_u32_f32(a),vreinterpretq_u32_f32(b))); }
template<> EIGEN_STRONG_INLINE Packet4c pxor<Packet4c>(const Packet4c& a, const Packet4c& b)
{ return a ^ b; }
template<> EIGEN_STRONG_INLINE Packet8c pxor<Packet8c>(const Packet8c& a, const Packet8c& b)
{ return veor_s8(a,b); }
--> --------------------

--> maximum size reached

--> --------------------

Messung V0.5

¤ Dauer der Verarbeitung: 0.9 Sekunden (vorverarbeitet) ¤

Wurzel

Suchen

Beweissystem der NASA

Beweissystem Isabelle

NIST Cobol Testsuite

Cephes Mathematical Library

Wiener Entwicklungsmethode

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