eigen/Eigen/src/Core/arch/SSE/Complex.h

// This file is part of Eigen, a lightweight C++ template library
// for linear algebra.
//
// Copyright (C) 2010 Gael Guennebaud <gael.guennebaud@inria.fr>
//
// Eigen is free software; you can redistribute it and/or
// modify it under the terms of the GNU Lesser General Public
// License as published by the Free Software Foundation; either
// version 3 of the License, or (at your option) any later version.
//
// Alternatively, you can redistribute it and/or
// modify it under the terms of the GNU General Public License as
// published by the Free Software Foundation; either version 2 of
// the License, or (at your option) any later version.
//
// Eigen is distributed in the hope that it will be useful, but WITHOUT ANY
// WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
// FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License or the
// GNU General Public License for more details.
//
// You should have received a copy of the GNU Lesser General Public
// License and a copy of the GNU General Public License along with
// Eigen. If not, see <http://www.gnu.org/licenses/>.

#ifndef EIGEN_COMPLEX_SSE_H
#define EIGEN_COMPLEX_SSE_H

struct Packet2cf
{
  EIGEN_STRONG_INLINE Packet2cf() {}
  EIGEN_STRONG_INLINE explicit Packet2cf(const __m128& a) : v(a) {}
  __m128  v;
};

typedef __m128d Packet1cd;

template<> struct ei_packet_traits<std::complex<float> >  : ei_default_packet_traits
{
  typedef Packet2cf type; enum {size=2};
};

template<> struct ei_unpacket_traits<Packet2cf> { typedef std::complex<float> type; enum {size=2}; };

template<> EIGEN_STRONG_INLINE Packet2cf ei_pset1<std::complex<float> >(const std::complex<float>&  from)
{
  Packet2cf res;
  res.v = _mm_loadl_pi(res.v, (const __m64*)&from);
  return Packet2cf(_mm_movelh_ps(res.v,res.v));
}

// template<> EIGEN_STRONG_INLINE Packet4f ei_plset<std::complex<float> >(const std::complex<float> & a) { }

template<> EIGEN_STRONG_INLINE Packet2cf ei_padd<Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(_mm_add_ps(a.v,b.v)); }
template<> EIGEN_STRONG_INLINE Packet2cf ei_psub<Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(_mm_sub_ps(a.v,b.v)); }
template<> EIGEN_STRONG_INLINE Packet2cf ei_pnegate(const Packet2cf& a)
{
  const __m128 mask = _mm_castsi128_ps(_mm_setr_epi32(0x80000000,0x80000000,0x80000000,0x80000000));
  return Packet2cf(_mm_xor_ps(a.v,mask));

}

template<> EIGEN_STRONG_INLINE Packet2cf ei_pmul<Packet2cf>(const Packet2cf& a, const Packet2cf& b)
{
  // TODO optimize it for SSE3 and 4
  const __m128 mask = _mm_castsi128_ps(_mm_setr_epi32(0x80000000,0x00000000,0x80000000,0x00000000));
  return Packet2cf(_mm_add_ps(_mm_mul_ps(_mm_castsi128_ps(_mm_shuffle_epi32(_mm_castps_si128(a.v), 0xa0)), b.v),
                              _mm_xor_ps(_mm_mul_ps(_mm_castsi128_ps(_mm_shuffle_epi32(_mm_castps_si128(a.v), 0xf5)),
                                                    _mm_castsi128_ps(_mm_shuffle_epi32(_mm_castps_si128(b.v), 0xb1  ))), mask)));
}

// template<> EIGEN_STRONG_INLINE Packet2cf ei_pmadd<Packet2cf>(const Packet2cf& a, const Packet2cf& b, const Packet2cf& c)
// {std::cerr << __LINE__ << "\n";
//   // TODO optimize it for SSE3 and 4
//   const __m128 mask = _mm_castsi128_ps(_mm_setr_epi32(0x80000000,0x00000000,0x80000000,0x00000000));
//   return Packet2cf(_mm_add_ps(c.v,
//                               _mm_add_ps(_mm_mul_ps(_mm_castsi128_ps(_mm_shuffle_epi32(_mm_castps_si128(a.v), 0xa0)), b.v),
//                               _mm_xor_ps(_mm_mul_ps(_mm_castsi128_ps(_mm_shuffle_epi32(_mm_castps_si128(a.v), 0xf5)),
//                                                     _mm_castsi128_ps(_mm_shuffle_epi32(_mm_castps_si128(b.v), 0xb1  ))), mask))));
// }

template<> EIGEN_STRONG_INLINE Packet2cf ei_pdiv<Packet2cf>(const Packet2cf& a, const Packet2cf& b)
{
  // TODO optimize it for SSE3 and 4
  const __m128 mask = _mm_castsi128_ps(_mm_setr_epi32(0x00000000,0x80000000,0x00000000,0x80000000));
  Packet2cf res(_mm_add_ps(_mm_mul_ps(a.v, _mm_castsi128_ps(_mm_shuffle_epi32(_mm_castps_si128(b.v), 0xa0))),
                              _mm_xor_ps(_mm_mul_ps(_mm_castsi128_ps(_mm_shuffle_epi32(_mm_castps_si128(a.v), 0xb1)),
                                                    _mm_castsi128_ps(_mm_shuffle_epi32(_mm_castps_si128(b.v), 0xf5  ))), mask)));
  __m128 s = _mm_mul_ps(b.v,b.v);
  return Packet2cf(_mm_div_ps(res.v,_mm_add_ps(s,_mm_castsi128_ps(_mm_shuffle_epi32(_mm_castps_si128(s), 0xb1)))));
}

template<> EIGEN_STRONG_INLINE Packet2cf ei_pand   <Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(_mm_and_ps(a.v,b.v)); }
template<> EIGEN_STRONG_INLINE Packet2cf ei_por    <Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(_mm_or_ps(a.v,b.v)); }
template<> EIGEN_STRONG_INLINE Packet2cf ei_pxor   <Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(_mm_xor_ps(a.v,b.v)); }
template<> EIGEN_STRONG_INLINE Packet2cf ei_pandnot<Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(_mm_andnot_ps(a.v,b.v)); }

template<> EIGEN_STRONG_INLINE Packet2cf ei_pload <std::complex<float> >(const std::complex<float>* from) { EIGEN_DEBUG_ALIGNED_LOAD return Packet2cf(_mm_load_ps((const float*)from)); }
template<> EIGEN_STRONG_INLINE Packet2cf ei_ploadu<std::complex<float> >(const std::complex<float>* from) { EIGEN_DEBUG_ALIGNED_LOAD return Packet2cf(ei_ploadu((const float*)from)); }

template<> EIGEN_STRONG_INLINE void ei_pstore <std::complex<float> >(std::complex<float> *   to, const Packet2cf& from) { EIGEN_DEBUG_ALIGNED_STORE _mm_store_ps((float*)to, from.v); }
template<> EIGEN_STRONG_INLINE void ei_pstoreu<std::complex<float> >(std::complex<float> *   to, const Packet2cf& from) { EIGEN_DEBUG_ALIGNED_STORE ei_pstoreu((float*)to, from.v); }

template<> EIGEN_STRONG_INLINE void ei_prefetch<std::complex<float> >(const std::complex<float> *   addr) { _mm_prefetch((const char*)(addr), _MM_HINT_T0); }

template<> EIGEN_STRONG_INLINE std::complex<float>  ei_pfirst<Packet2cf>(const Packet2cf& a)
{
  std::complex<float> res;
  _mm_storel_pi((__m64*)&res, a.v);
  return res;
}

template<> EIGEN_STRONG_INLINE Packet2cf ei_preverse(const Packet2cf& a) { return Packet2cf(_mm_castpd_ps(ei_preverse(_mm_castps_pd(a.v)))); }

// template<> EIGEN_STRONG_INLINE Packet2cf ei_pabs(const Packet2cf& a) {}

template<> EIGEN_STRONG_INLINE std::complex<float> ei_predux<Packet2cf>(const Packet2cf& a)
{
  return ei_pfirst(Packet2cf(_mm_add_ps(a.v, _mm_movehl_ps(a.v,a.v))));
}

template<> EIGEN_STRONG_INLINE Packet2cf ei_preduxp<Packet2cf>(const Packet2cf* vecs)
{
  return Packet2cf(_mm_add_ps(_mm_movelh_ps(vecs[0].v,vecs[1].v), _mm_movehl_ps(vecs[1].v,vecs[0].v)));
}

template<> EIGEN_STRONG_INLINE std::complex<float> ei_predux_mul<Packet2cf>(const Packet2cf& a)
{
  return ei_pfirst(ei_pmul(a, Packet2cf(_mm_movehl_ps(a.v,a.v))));
}

template<int Offset>
struct ei_palign_impl<Offset,Packet2cf>
{
  EIGEN_STRONG_INLINE static void run(Packet2cf& first, const Packet2cf& second)
  {
    if (Offset==1)
    {
      first.v = _mm_movehl_ps(first.v, first.v);
      first.v = _mm_movelh_ps(first.v, second.v);
    }
  }
};

#endif // EIGEN_COMPLEX_SSE_H