Eigen/src/Core/arch/AVX512/Complex.h

// This file is part of Eigen, a lightweight C++ template library
// for linear algebra.
//
// Copyright (C) 2018 Gael Guennebaud <gael.guennebaud@inria.fr>
//
// 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_COMPLEX_AVX512_H
#define EIGEN_COMPLEX_AVX512_H

// IWYU pragma: private
#include "../../InternalHeaderCheck.h"

namespace Eigen {

namespace internal {

//---------- float ----------
struct Packet8cf {
  EIGEN_STRONG_INLINE Packet8cf() {}
  EIGEN_STRONG_INLINE explicit Packet8cf(const __m512& a) : v(a) {}
  __m512 v;
};

template <>
struct packet_traits<std::complex<float> > : default_packet_traits {
  typedef Packet8cf type;
  typedef Packet4cf half;
  enum {
    Vectorizable = 1,
    AlignedOnScalar = 1,
    size = 8,

    HasAdd = 1,
    HasSub = 1,
    HasMul = 1,
    HasDiv = 1,
    HasNegate = 1,
    HasSqrt = 1,
    HasAbs = 0,
    HasAbs2 = 0,
    HasMin = 0,
    HasMax = 0,
    HasSetLinear = 0
  };
};

template <>
struct unpacket_traits<Packet8cf> {
  typedef std::complex<float> type;
  typedef Packet4cf half;
  typedef Packet16f as_real;
  enum {
    size = 8,
    alignment = unpacket_traits<Packet16f>::alignment,
    vectorizable = true,
    masked_load_available = false,
    masked_store_available = false
  };
};

template <>
EIGEN_STRONG_INLINE Packet8cf ptrue<Packet8cf>(const Packet8cf& a) {
  return Packet8cf(ptrue(Packet16f(a.v)));
}
template <>
EIGEN_STRONG_INLINE Packet8cf padd<Packet8cf>(const Packet8cf& a, const Packet8cf& b) {
  return Packet8cf(_mm512_add_ps(a.v, b.v));
}
template <>
EIGEN_STRONG_INLINE Packet8cf psub<Packet8cf>(const Packet8cf& a, const Packet8cf& b) {
  return Packet8cf(_mm512_sub_ps(a.v, b.v));
}
template <>
EIGEN_STRONG_INLINE Packet8cf pnegate(const Packet8cf& a) {
  return Packet8cf(pnegate(a.v));
}
template <>
EIGEN_STRONG_INLINE Packet8cf pconj(const Packet8cf& a) {
  const __m512 mask = _mm512_castsi512_ps(_mm512_setr_epi32(
      0x00000000, 0x80000000, 0x00000000, 0x80000000, 0x00000000, 0x80000000, 0x00000000, 0x80000000, 0x00000000,
      0x80000000, 0x00000000, 0x80000000, 0x00000000, 0x80000000, 0x00000000, 0x80000000));
  return Packet8cf(pxor(a.v, mask));
}

template <>
EIGEN_STRONG_INLINE Packet8cf pmul<Packet8cf>(const Packet8cf& a, const Packet8cf& b) {
  __m512 tmp2 = _mm512_mul_ps(_mm512_movehdup_ps(a.v), _mm512_permute_ps(b.v, _MM_SHUFFLE(2, 3, 0, 1)));
  return Packet8cf(_mm512_fmaddsub_ps(_mm512_moveldup_ps(a.v), b.v, tmp2));
}

template <>
EIGEN_STRONG_INLINE Packet8cf pand<Packet8cf>(const Packet8cf& a, const Packet8cf& b) {
  return Packet8cf(pand(a.v, b.v));
}
template <>
EIGEN_STRONG_INLINE Packet8cf por<Packet8cf>(const Packet8cf& a, const Packet8cf& b) {
  return Packet8cf(por(a.v, b.v));
}
template <>
EIGEN_STRONG_INLINE Packet8cf pxor<Packet8cf>(const Packet8cf& a, const Packet8cf& b) {
  return Packet8cf(pxor(a.v, b.v));
}
template <>
EIGEN_STRONG_INLINE Packet8cf pandnot<Packet8cf>(const Packet8cf& a, const Packet8cf& b) {
  return Packet8cf(pandnot(a.v, b.v));
}

template <>
EIGEN_STRONG_INLINE Packet8cf pcmp_eq(const Packet8cf& a, const Packet8cf& b) {
  __m512 eq = pcmp_eq<Packet16f>(a.v, b.v);
  return Packet8cf(pand(eq, _mm512_permute_ps(eq, 0xB1)));
}

template <>
EIGEN_STRONG_INLINE Packet8cf pload<Packet8cf>(const std::complex<float>* from) {
  EIGEN_DEBUG_ALIGNED_LOAD return Packet8cf(pload<Packet16f>(&numext::real_ref(*from)));
}
template <>
EIGEN_STRONG_INLINE Packet8cf ploadu<Packet8cf>(const std::complex<float>* from) {
  EIGEN_DEBUG_UNALIGNED_LOAD return Packet8cf(ploadu<Packet16f>(&numext::real_ref(*from)));
}

template <>
EIGEN_STRONG_INLINE Packet8cf pset1<Packet8cf>(const std::complex<float>& from) {
  const float re = std::real(from);
  const float im = std::imag(from);
  return Packet8cf(_mm512_set_ps(im, re, im, re, im, re, im, re, im, re, im, re, im, re, im, re));
}

template <>
EIGEN_STRONG_INLINE Packet8cf ploaddup<Packet8cf>(const std::complex<float>* from) {
  return Packet8cf(_mm512_castpd_ps(ploaddup<Packet8d>((const double*)(const void*)from)));
}
template <>
EIGEN_STRONG_INLINE Packet8cf ploadquad<Packet8cf>(const std::complex<float>* from) {
  return Packet8cf(_mm512_castpd_ps(ploadquad<Packet8d>((const double*)(const void*)from)));
}

template <>
EIGEN_STRONG_INLINE void pstore<std::complex<float> >(std::complex<float>* to, const Packet8cf& from) {
  EIGEN_DEBUG_ALIGNED_STORE pstore(&numext::real_ref(*to), from.v);
}
template <>
EIGEN_STRONG_INLINE void pstoreu<std::complex<float> >(std::complex<float>* to, const Packet8cf& from) {
  EIGEN_DEBUG_UNALIGNED_STORE pstoreu(&numext::real_ref(*to), from.v);
}

template <>
EIGEN_DEVICE_FUNC inline Packet8cf pgather<std::complex<float>, Packet8cf>(const std::complex<float>* from,
                                                                           Index stride) {
  return Packet8cf(_mm512_castpd_ps(pgather<double, Packet8d>((const double*)(const void*)from, stride)));
}

template <>
EIGEN_DEVICE_FUNC inline void pscatter<std::complex<float>, Packet8cf>(std::complex<float>* to, const Packet8cf& from,
                                                                       Index stride) {
  pscatter((double*)(void*)to, _mm512_castps_pd(from.v), stride);
}

template <>
EIGEN_STRONG_INLINE std::complex<float> pfirst<Packet8cf>(const Packet8cf& a) {
  return pfirst(Packet2cf(_mm512_castps512_ps128(a.v)));
}

template <>
EIGEN_STRONG_INLINE Packet8cf preverse(const Packet8cf& a) {
  return Packet8cf(_mm512_castsi512_ps(_mm512_permutexvar_epi64(
      _mm512_set_epi32(0, 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, 6, 0, 7), _mm512_castps_si512(a.v))));
}

template <>
EIGEN_STRONG_INLINE std::complex<float> predux<Packet8cf>(const Packet8cf& a) {
  return predux(padd(Packet4cf(extract256<0>(a.v)), Packet4cf(extract256<1>(a.v))));
}

template <>
EIGEN_STRONG_INLINE std::complex<float> predux_mul<Packet8cf>(const Packet8cf& a) {
  return predux_mul(pmul(Packet4cf(extract256<0>(a.v)), Packet4cf(extract256<1>(a.v))));
}

template <>
EIGEN_STRONG_INLINE Packet4cf predux_half_dowto4<Packet8cf>(const Packet8cf& a) {
  __m256 lane0 = extract256<0>(a.v);
  __m256 lane1 = extract256<1>(a.v);
  __m256 res = _mm256_add_ps(lane0, lane1);
  return Packet4cf(res);
}

EIGEN_MAKE_CONJ_HELPER_CPLX_REAL(Packet8cf, Packet16f)

template <>
EIGEN_STRONG_INLINE Packet8cf pdiv<Packet8cf>(const Packet8cf& a, const Packet8cf& b) {
  return pdiv_complex(a, b);
}

template <>
EIGEN_STRONG_INLINE Packet8cf pcplxflip<Packet8cf>(const Packet8cf& x) {
  return Packet8cf(_mm512_shuffle_ps(x.v, x.v, _MM_SHUFFLE(2, 3, 0, 1)));
}

//---------- double ----------
struct Packet4cd {
  EIGEN_STRONG_INLINE Packet4cd() {}
  EIGEN_STRONG_INLINE explicit Packet4cd(const __m512d& a) : v(a) {}
  __m512d v;
};

template <>
struct packet_traits<std::complex<double> > : default_packet_traits {
  typedef Packet4cd type;
  typedef Packet2cd half;
  enum {
    Vectorizable = 1,
    AlignedOnScalar = 0,
    size = 4,

    HasAdd = 1,
    HasSub = 1,
    HasMul = 1,
    HasDiv = 1,
    HasNegate = 1,
    HasSqrt = 1,
    HasAbs = 0,
    HasAbs2 = 0,
    HasMin = 0,
    HasMax = 0,
    HasSetLinear = 0
  };
};

template <>
struct unpacket_traits<Packet4cd> {
  typedef std::complex<double> type;
  typedef Packet2cd half;
  typedef Packet8d as_real;
  enum {
    size = 4,
    alignment = unpacket_traits<Packet8d>::alignment,
    vectorizable = true,
    masked_load_available = false,
    masked_store_available = false
  };
};

template <>
EIGEN_STRONG_INLINE Packet4cd padd<Packet4cd>(const Packet4cd& a, const Packet4cd& b) {
  return Packet4cd(_mm512_add_pd(a.v, b.v));
}
template <>
EIGEN_STRONG_INLINE Packet4cd psub<Packet4cd>(const Packet4cd& a, const Packet4cd& b) {
  return Packet4cd(_mm512_sub_pd(a.v, b.v));
}
template <>
EIGEN_STRONG_INLINE Packet4cd pnegate(const Packet4cd& a) {
  return Packet4cd(pnegate(a.v));
}
template <>
EIGEN_STRONG_INLINE Packet4cd pconj(const Packet4cd& a) {
  const __m512d mask = _mm512_castsi512_pd(_mm512_set_epi32(0x80000000, 0x0, 0x0, 0x0, 0x80000000, 0x0, 0x0, 0x0,
                                                            0x80000000, 0x0, 0x0, 0x0, 0x80000000, 0x0, 0x0, 0x0));
  return Packet4cd(pxor(a.v, mask));
}

template <>
EIGEN_STRONG_INLINE Packet4cd pmul<Packet4cd>(const Packet4cd& a, const Packet4cd& b) {
  __m512d tmp1 = _mm512_shuffle_pd(a.v, a.v, 0x0);
  __m512d tmp2 = _mm512_shuffle_pd(a.v, a.v, 0xFF);
  __m512d tmp3 = _mm512_shuffle_pd(b.v, b.v, 0x55);
  __m512d odd = _mm512_mul_pd(tmp2, tmp3);
  return Packet4cd(_mm512_fmaddsub_pd(tmp1, b.v, odd));
}

template <>
EIGEN_STRONG_INLINE Packet4cd ptrue<Packet4cd>(const Packet4cd& a) {
  return Packet4cd(ptrue(Packet8d(a.v)));
}
template <>
EIGEN_STRONG_INLINE Packet4cd pand<Packet4cd>(const Packet4cd& a, const Packet4cd& b) {
  return Packet4cd(pand(a.v, b.v));
}
template <>
EIGEN_STRONG_INLINE Packet4cd por<Packet4cd>(const Packet4cd& a, const Packet4cd& b) {
  return Packet4cd(por(a.v, b.v));
}
template <>
EIGEN_STRONG_INLINE Packet4cd pxor<Packet4cd>(const Packet4cd& a, const Packet4cd& b) {
  return Packet4cd(pxor(a.v, b.v));
}
template <>
EIGEN_STRONG_INLINE Packet4cd pandnot<Packet4cd>(const Packet4cd& a, const Packet4cd& b) {
  return Packet4cd(pandnot(a.v, b.v));
}

template <>
EIGEN_STRONG_INLINE Packet4cd pcmp_eq(const Packet4cd& a, const Packet4cd& b) {
  __m512d eq = pcmp_eq<Packet8d>(a.v, b.v);
  return Packet4cd(pand(eq, _mm512_permute_pd(eq, 0x55)));
}

template <>
EIGEN_STRONG_INLINE Packet4cd pload<Packet4cd>(const std::complex<double>* from) {
  EIGEN_DEBUG_ALIGNED_LOAD return Packet4cd(pload<Packet8d>((const double*)from));
}
template <>
EIGEN_STRONG_INLINE Packet4cd ploadu<Packet4cd>(const std::complex<double>* from) {
  EIGEN_DEBUG_UNALIGNED_LOAD return Packet4cd(ploadu<Packet8d>((const double*)from));
}

template <>
EIGEN_STRONG_INLINE Packet4cd pset1<Packet4cd>(const std::complex<double>& from) {
  return Packet4cd(_mm512_castps_pd(_mm512_broadcast_f32x4(_mm_castpd_ps(pset1<Packet1cd>(from).v))));
}

template <>
EIGEN_STRONG_INLINE Packet4cd ploaddup<Packet4cd>(const std::complex<double>* from) {
  return Packet4cd(
      _mm512_insertf64x4(_mm512_castpd256_pd512(ploaddup<Packet2cd>(from).v), ploaddup<Packet2cd>(from + 1).v, 1));
}

template <>
EIGEN_STRONG_INLINE void pstore<std::complex<double> >(std::complex<double>* to, const Packet4cd& from) {
  EIGEN_DEBUG_ALIGNED_STORE pstore((double*)to, from.v);
}
template <>
EIGEN_STRONG_INLINE void pstoreu<std::complex<double> >(std::complex<double>* to, const Packet4cd& from) {
  EIGEN_DEBUG_UNALIGNED_STORE pstoreu((double*)to, from.v);
}

template <>
EIGEN_DEVICE_FUNC inline Packet4cd pgather<std::complex<double>, Packet4cd>(const std::complex<double>* from,
                                                                            Index stride) {
  return Packet4cd(_mm512_insertf64x4(
      _mm512_castpd256_pd512(_mm256_insertf128_pd(_mm256_castpd128_pd256(ploadu<Packet1cd>(from + 0 * stride).v),
                                                  ploadu<Packet1cd>(from + 1 * stride).v, 1)),
      _mm256_insertf128_pd(_mm256_castpd128_pd256(ploadu<Packet1cd>(from + 2 * stride).v),
                           ploadu<Packet1cd>(from + 3 * stride).v, 1),
      1));
}

template <>
EIGEN_DEVICE_FUNC inline void pscatter<std::complex<double>, Packet4cd>(std::complex<double>* to, const Packet4cd& from,
                                                                        Index stride) {
  __m512i fromi = _mm512_castpd_si512(from.v);
  double* tod = (double*)(void*)to;
  _mm_storeu_pd(tod + 0 * stride, _mm_castsi128_pd(_mm512_extracti32x4_epi32(fromi, 0)));
  _mm_storeu_pd(tod + 2 * stride, _mm_castsi128_pd(_mm512_extracti32x4_epi32(fromi, 1)));
  _mm_storeu_pd(tod + 4 * stride, _mm_castsi128_pd(_mm512_extracti32x4_epi32(fromi, 2)));
  _mm_storeu_pd(tod + 6 * stride, _mm_castsi128_pd(_mm512_extracti32x4_epi32(fromi, 3)));
}

template <>
EIGEN_STRONG_INLINE std::complex<double> pfirst<Packet4cd>(const Packet4cd& a) {
  __m128d low = extract128<0>(a.v);
  EIGEN_ALIGN16 double res[2];
  _mm_store_pd(res, low);
  return std::complex<double>(res[0], res[1]);
}

template <>
EIGEN_STRONG_INLINE Packet4cd preverse(const Packet4cd& a) {
  return Packet4cd(_mm512_shuffle_f64x2(a.v, a.v, (shuffle_mask<3, 2, 1, 0>::mask)));
}

template <>
EIGEN_STRONG_INLINE std::complex<double> predux<Packet4cd>(const Packet4cd& a) {
  return predux(padd(Packet2cd(_mm512_extractf64x4_pd(a.v, 0)), Packet2cd(_mm512_extractf64x4_pd(a.v, 1))));
}

template <>
EIGEN_STRONG_INLINE std::complex<double> predux_mul<Packet4cd>(const Packet4cd& a) {
  return predux_mul(pmul(Packet2cd(_mm512_extractf64x4_pd(a.v, 0)), Packet2cd(_mm512_extractf64x4_pd(a.v, 1))));
}

EIGEN_MAKE_CONJ_HELPER_CPLX_REAL(Packet4cd, Packet8d)

template <>
EIGEN_STRONG_INLINE Packet4cd pdiv<Packet4cd>(const Packet4cd& a, const Packet4cd& b) {
  return pdiv_complex(a, b);
}

template <>
EIGEN_STRONG_INLINE Packet4cd pcplxflip<Packet4cd>(const Packet4cd& x) {
  return Packet4cd(_mm512_permute_pd(x.v, 0x55));
}

EIGEN_DEVICE_FUNC inline void ptranspose(PacketBlock<Packet8cf, 4>& kernel) {
  PacketBlock<Packet8d, 4> pb;

  pb.packet[0] = _mm512_castps_pd(kernel.packet[0].v);
  pb.packet[1] = _mm512_castps_pd(kernel.packet[1].v);
  pb.packet[2] = _mm512_castps_pd(kernel.packet[2].v);
  pb.packet[3] = _mm512_castps_pd(kernel.packet[3].v);
  ptranspose(pb);
  kernel.packet[0].v = _mm512_castpd_ps(pb.packet[0]);
  kernel.packet[1].v = _mm512_castpd_ps(pb.packet[1]);
  kernel.packet[2].v = _mm512_castpd_ps(pb.packet[2]);
  kernel.packet[3].v = _mm512_castpd_ps(pb.packet[3]);
}

EIGEN_DEVICE_FUNC inline void ptranspose(PacketBlock<Packet8cf, 8>& kernel) {
  PacketBlock<Packet8d, 8> pb;

  pb.packet[0] = _mm512_castps_pd(kernel.packet[0].v);
  pb.packet[1] = _mm512_castps_pd(kernel.packet[1].v);
  pb.packet[2] = _mm512_castps_pd(kernel.packet[2].v);
  pb.packet[3] = _mm512_castps_pd(kernel.packet[3].v);
  pb.packet[4] = _mm512_castps_pd(kernel.packet[4].v);
  pb.packet[5] = _mm512_castps_pd(kernel.packet[5].v);
  pb.packet[6] = _mm512_castps_pd(kernel.packet[6].v);
  pb.packet[7] = _mm512_castps_pd(kernel.packet[7].v);
  ptranspose(pb);
  kernel.packet[0].v = _mm512_castpd_ps(pb.packet[0]);
  kernel.packet[1].v = _mm512_castpd_ps(pb.packet[1]);
  kernel.packet[2].v = _mm512_castpd_ps(pb.packet[2]);
  kernel.packet[3].v = _mm512_castpd_ps(pb.packet[3]);
  kernel.packet[4].v = _mm512_castpd_ps(pb.packet[4]);
  kernel.packet[5].v = _mm512_castpd_ps(pb.packet[5]);
  kernel.packet[6].v = _mm512_castpd_ps(pb.packet[6]);
  kernel.packet[7].v = _mm512_castpd_ps(pb.packet[7]);
}

EIGEN_DEVICE_FUNC inline void ptranspose(PacketBlock<Packet4cd, 4>& kernel) {
  __m512d T0 =
      _mm512_shuffle_f64x2(kernel.packet[0].v, kernel.packet[1].v, (shuffle_mask<0, 1, 0, 1>::mask));  // [a0 a1 b0 b1]
  __m512d T1 =
      _mm512_shuffle_f64x2(kernel.packet[0].v, kernel.packet[1].v, (shuffle_mask<2, 3, 2, 3>::mask));  // [a2 a3 b2 b3]
  __m512d T2 =
      _mm512_shuffle_f64x2(kernel.packet[2].v, kernel.packet[3].v, (shuffle_mask<0, 1, 0, 1>::mask));  // [c0 c1 d0 d1]
  __m512d T3 =
      _mm512_shuffle_f64x2(kernel.packet[2].v, kernel.packet[3].v, (shuffle_mask<2, 3, 2, 3>::mask));  // [c2 c3 d2 d3]

  kernel.packet[3] = Packet4cd(_mm512_shuffle_f64x2(T1, T3, (shuffle_mask<1, 3, 1, 3>::mask)));  // [a3 b3 c3 d3]
  kernel.packet[2] = Packet4cd(_mm512_shuffle_f64x2(T1, T3, (shuffle_mask<0, 2, 0, 2>::mask)));  // [a2 b2 c2 d2]
  kernel.packet[1] = Packet4cd(_mm512_shuffle_f64x2(T0, T2, (shuffle_mask<1, 3, 1, 3>::mask)));  // [a1 b1 c1 d1]
  kernel.packet[0] = Packet4cd(_mm512_shuffle_f64x2(T0, T2, (shuffle_mask<0, 2, 0, 2>::mask)));  // [a0 b0 c0 d0]
}

template <>
EIGEN_STRONG_INLINE Packet4cd psqrt<Packet4cd>(const Packet4cd& a) {
  return psqrt_complex<Packet4cd>(a);
}

template <>
EIGEN_STRONG_INLINE Packet8cf psqrt<Packet8cf>(const Packet8cf& a) {
  return psqrt_complex<Packet8cf>(a);
}

}  // end namespace internal
}  // end namespace Eigen

#endif  // EIGEN_COMPLEX_AVX512_H