|  | // This file is part of Eigen, a lightweight C++ template library | 
|  | // for linear algebra. | 
|  | // | 
|  | // Copyright (C) 2010 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_SSE_H | 
|  | #define EIGEN_COMPLEX_SSE_H | 
|  |  | 
|  | namespace Eigen { | 
|  |  | 
|  | namespace internal { | 
|  |  | 
|  | //---------- float ---------- | 
|  | struct Packet2cf | 
|  | { | 
|  | EIGEN_STRONG_INLINE Packet2cf() {} | 
|  | EIGEN_STRONG_INLINE explicit Packet2cf(const __m128& a) : v(a) {} | 
|  | __m128  v; | 
|  | }; | 
|  |  | 
|  | // Use the packet_traits defined in AVX/PacketMath.h instead if we're going | 
|  | // to leverage AVX instructions. | 
|  | #ifndef EIGEN_VECTORIZE_AVX | 
|  | template<> struct packet_traits<std::complex<float> >  : default_packet_traits | 
|  | { | 
|  | typedef Packet2cf type; | 
|  | typedef Packet2cf half; | 
|  | enum { | 
|  | Vectorizable = 1, | 
|  | AlignedOnScalar = 1, | 
|  | size = 2, | 
|  | HasHalfPacket = 0, | 
|  |  | 
|  | HasAdd    = 1, | 
|  | HasSub    = 1, | 
|  | HasMul    = 1, | 
|  | HasDiv    = 1, | 
|  | HasNegate = 1, | 
|  | HasAbs    = 0, | 
|  | HasAbs2   = 0, | 
|  | HasMin    = 0, | 
|  | HasMax    = 0, | 
|  | HasSetLinear = 0, | 
|  | HasBlend = 1 | 
|  | }; | 
|  | }; | 
|  | #endif | 
|  |  | 
|  | template<> struct unpacket_traits<Packet2cf> { typedef std::complex<float> type; enum {size=2, alignment=Aligned16}; typedef Packet2cf half; }; | 
|  |  | 
|  | template<> EIGEN_STRONG_INLINE Packet2cf padd<Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(_mm_add_ps(a.v,b.v)); } | 
|  | template<> EIGEN_STRONG_INLINE Packet2cf psub<Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(_mm_sub_ps(a.v,b.v)); } | 
|  | template<> EIGEN_STRONG_INLINE Packet2cf 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 pconj(const Packet2cf& a) | 
|  | { | 
|  | const __m128 mask = _mm_castsi128_ps(_mm_setr_epi32(0x00000000,0x80000000,0x00000000,0x80000000)); | 
|  | return Packet2cf(_mm_xor_ps(a.v,mask)); | 
|  | } | 
|  |  | 
|  | template<> EIGEN_STRONG_INLINE Packet2cf pmul<Packet2cf>(const Packet2cf& a, const Packet2cf& b) | 
|  | { | 
|  | // TODO optimize it for SSE3 and 4 | 
|  | #ifdef EIGEN_VECTORIZE_SSE3 | 
|  | return Packet2cf(_mm_addsub_ps(_mm_mul_ps(_mm_moveldup_ps(a.v), b.v), | 
|  | _mm_mul_ps(_mm_movehdup_ps(a.v), | 
|  | vec4f_swizzle1(b.v, 1, 0, 3, 2)))); | 
|  | //   return Packet2cf(_mm_addsub_ps(_mm_mul_ps(vec4f_swizzle1(a.v, 0, 0, 2, 2), b.v), | 
|  | //                                  _mm_mul_ps(vec4f_swizzle1(a.v, 1, 1, 3, 3), | 
|  | //                                             vec4f_swizzle1(b.v, 1, 0, 3, 2)))); | 
|  | #else | 
|  | const __m128 mask = _mm_castsi128_ps(_mm_setr_epi32(0x80000000,0x00000000,0x80000000,0x00000000)); | 
|  | return Packet2cf(_mm_add_ps(_mm_mul_ps(vec4f_swizzle1(a.v, 0, 0, 2, 2), b.v), | 
|  | _mm_xor_ps(_mm_mul_ps(vec4f_swizzle1(a.v, 1, 1, 3, 3), | 
|  | vec4f_swizzle1(b.v, 1, 0, 3, 2)), mask))); | 
|  | #endif | 
|  | } | 
|  |  | 
|  | template<> EIGEN_STRONG_INLINE Packet2cf pand   <Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(_mm_and_ps(a.v,b.v)); } | 
|  | template<> EIGEN_STRONG_INLINE Packet2cf por    <Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(_mm_or_ps(a.v,b.v)); } | 
|  | template<> EIGEN_STRONG_INLINE Packet2cf pxor   <Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(_mm_xor_ps(a.v,b.v)); } | 
|  | template<> EIGEN_STRONG_INLINE Packet2cf pandnot<Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(_mm_andnot_ps(a.v,b.v)); } | 
|  |  | 
|  | template<> EIGEN_STRONG_INLINE Packet2cf pload <Packet2cf>(const std::complex<float>* from) { EIGEN_DEBUG_ALIGNED_LOAD return Packet2cf(pload<Packet4f>(&numext::real_ref(*from))); } | 
|  | template<> EIGEN_STRONG_INLINE Packet2cf ploadu<Packet2cf>(const std::complex<float>* from) { EIGEN_DEBUG_UNALIGNED_LOAD return Packet2cf(ploadu<Packet4f>(&numext::real_ref(*from))); } | 
|  |  | 
|  | template<> EIGEN_STRONG_INLINE Packet2cf pset1<Packet2cf>(const std::complex<float>&  from) | 
|  | { | 
|  | Packet2cf res; | 
|  | #if EIGEN_GNUC_AT_MOST(4,2) | 
|  | // Workaround annoying "may be used uninitialized in this function" warning with gcc 4.2 | 
|  | res.v = _mm_loadl_pi(_mm_set1_ps(0.0f), reinterpret_cast<const __m64*>(&from)); | 
|  | #elif EIGEN_GNUC_AT_LEAST(4,6) | 
|  | // Suppress annoying "may be used uninitialized in this function" warning with gcc >= 4.6 | 
|  | #pragma GCC diagnostic push | 
|  | #pragma GCC diagnostic ignored "-Wuninitialized" | 
|  | res.v = _mm_loadl_pi(res.v, (const __m64*)&from); | 
|  | #pragma GCC diagnostic pop | 
|  | #else | 
|  | res.v = _mm_loadl_pi(res.v, (const __m64*)&from); | 
|  | #endif | 
|  | return Packet2cf(_mm_movelh_ps(res.v,res.v)); | 
|  | } | 
|  |  | 
|  | template<> EIGEN_STRONG_INLINE Packet2cf ploaddup<Packet2cf>(const std::complex<float>* from) { return pset1<Packet2cf>(*from); } | 
|  |  | 
|  | template<> EIGEN_STRONG_INLINE void pstore <std::complex<float> >(std::complex<float> *   to, const Packet2cf& from) { EIGEN_DEBUG_ALIGNED_STORE pstore(&numext::real_ref(*to), Packet4f(from.v)); } | 
|  | template<> EIGEN_STRONG_INLINE void pstoreu<std::complex<float> >(std::complex<float> *   to, const Packet2cf& from) { EIGEN_DEBUG_UNALIGNED_STORE pstoreu(&numext::real_ref(*to), Packet4f(from.v)); } | 
|  |  | 
|  |  | 
|  | template<> EIGEN_DEVICE_FUNC inline Packet2cf pgather<std::complex<float>, Packet2cf>(const std::complex<float>* from, Index stride) | 
|  | { | 
|  | return Packet2cf(_mm_set_ps(std::imag(from[1*stride]), std::real(from[1*stride]), | 
|  | std::imag(from[0*stride]), std::real(from[0*stride]))); | 
|  | } | 
|  |  | 
|  | template<> EIGEN_DEVICE_FUNC inline void pscatter<std::complex<float>, Packet2cf>(std::complex<float>* to, const Packet2cf& from, Index stride) | 
|  | { | 
|  | to[stride*0] = std::complex<float>(_mm_cvtss_f32(_mm_shuffle_ps(from.v, from.v, 0)), | 
|  | _mm_cvtss_f32(_mm_shuffle_ps(from.v, from.v, 1))); | 
|  | to[stride*1] = std::complex<float>(_mm_cvtss_f32(_mm_shuffle_ps(from.v, from.v, 2)), | 
|  | _mm_cvtss_f32(_mm_shuffle_ps(from.v, from.v, 3))); | 
|  | } | 
|  |  | 
|  | template<> EIGEN_STRONG_INLINE void prefetch<std::complex<float> >(const std::complex<float> *   addr) { _mm_prefetch((const char*)(addr), _MM_HINT_T0); } | 
|  |  | 
|  | template<> EIGEN_STRONG_INLINE std::complex<float>  pfirst<Packet2cf>(const Packet2cf& a) | 
|  | { | 
|  | #if EIGEN_GNUC_AT_MOST(4,3) | 
|  | // Workaround gcc 4.2 ICE - this is not performance wise ideal, but who cares... | 
|  | // This workaround also fix invalid code generation with gcc 4.3 | 
|  | EIGEN_ALIGN16 std::complex<float> res[2]; | 
|  | _mm_store_ps((float*)res, a.v); | 
|  | return res[0]; | 
|  | #else | 
|  | std::complex<float> res; | 
|  | _mm_storel_pi((__m64*)&res, a.v); | 
|  | return res; | 
|  | #endif | 
|  | } | 
|  |  | 
|  | template<> EIGEN_STRONG_INLINE Packet2cf preverse(const Packet2cf& a) { return Packet2cf(_mm_castpd_ps(preverse(Packet2d(_mm_castps_pd(a.v))))); } | 
|  |  | 
|  | template<> EIGEN_STRONG_INLINE std::complex<float> predux<Packet2cf>(const Packet2cf& a) | 
|  | { | 
|  | return pfirst(Packet2cf(_mm_add_ps(a.v, _mm_movehl_ps(a.v,a.v)))); | 
|  | } | 
|  |  | 
|  | template<> EIGEN_STRONG_INLINE Packet2cf 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> predux_mul<Packet2cf>(const Packet2cf& a) | 
|  | { | 
|  | return pfirst(pmul(a, Packet2cf(_mm_movehl_ps(a.v,a.v)))); | 
|  | } | 
|  |  | 
|  | template<int Offset> | 
|  | struct palign_impl<Offset,Packet2cf> | 
|  | { | 
|  | static EIGEN_STRONG_INLINE 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); | 
|  | } | 
|  | } | 
|  | }; | 
|  |  | 
|  | template<> struct conj_helper<Packet2cf, Packet2cf, false,true> | 
|  | { | 
|  | EIGEN_STRONG_INLINE Packet2cf pmadd(const Packet2cf& x, const Packet2cf& y, const Packet2cf& c) const | 
|  | { return padd(pmul(x,y),c); } | 
|  |  | 
|  | EIGEN_STRONG_INLINE Packet2cf pmul(const Packet2cf& a, const Packet2cf& b) const | 
|  | { | 
|  | #ifdef EIGEN_VECTORIZE_SSE3 | 
|  | return internal::pmul(a, pconj(b)); | 
|  | #else | 
|  | const __m128 mask = _mm_castsi128_ps(_mm_setr_epi32(0x00000000,0x80000000,0x00000000,0x80000000)); | 
|  | return Packet2cf(_mm_add_ps(_mm_xor_ps(_mm_mul_ps(vec4f_swizzle1(a.v, 0, 0, 2, 2), b.v), mask), | 
|  | _mm_mul_ps(vec4f_swizzle1(a.v, 1, 1, 3, 3), | 
|  | vec4f_swizzle1(b.v, 1, 0, 3, 2)))); | 
|  | #endif | 
|  | } | 
|  | }; | 
|  |  | 
|  | template<> struct conj_helper<Packet2cf, Packet2cf, true,false> | 
|  | { | 
|  | EIGEN_STRONG_INLINE Packet2cf pmadd(const Packet2cf& x, const Packet2cf& y, const Packet2cf& c) const | 
|  | { return padd(pmul(x,y),c); } | 
|  |  | 
|  | EIGEN_STRONG_INLINE Packet2cf pmul(const Packet2cf& a, const Packet2cf& b) const | 
|  | { | 
|  | #ifdef EIGEN_VECTORIZE_SSE3 | 
|  | return internal::pmul(pconj(a), b); | 
|  | #else | 
|  | const __m128 mask = _mm_castsi128_ps(_mm_setr_epi32(0x00000000,0x80000000,0x00000000,0x80000000)); | 
|  | return Packet2cf(_mm_add_ps(_mm_mul_ps(vec4f_swizzle1(a.v, 0, 0, 2, 2), b.v), | 
|  | _mm_xor_ps(_mm_mul_ps(vec4f_swizzle1(a.v, 1, 1, 3, 3), | 
|  | vec4f_swizzle1(b.v, 1, 0, 3, 2)), mask))); | 
|  | #endif | 
|  | } | 
|  | }; | 
|  |  | 
|  | template<> struct conj_helper<Packet2cf, Packet2cf, true,true> | 
|  | { | 
|  | EIGEN_STRONG_INLINE Packet2cf pmadd(const Packet2cf& x, const Packet2cf& y, const Packet2cf& c) const | 
|  | { return padd(pmul(x,y),c); } | 
|  |  | 
|  | EIGEN_STRONG_INLINE Packet2cf pmul(const Packet2cf& a, const Packet2cf& b) const | 
|  | { | 
|  | #ifdef EIGEN_VECTORIZE_SSE3 | 
|  | return pconj(internal::pmul(a, b)); | 
|  | #else | 
|  | const __m128 mask = _mm_castsi128_ps(_mm_setr_epi32(0x00000000,0x80000000,0x00000000,0x80000000)); | 
|  | return Packet2cf(_mm_sub_ps(_mm_xor_ps(_mm_mul_ps(vec4f_swizzle1(a.v, 0, 0, 2, 2), b.v), mask), | 
|  | _mm_mul_ps(vec4f_swizzle1(a.v, 1, 1, 3, 3), | 
|  | vec4f_swizzle1(b.v, 1, 0, 3, 2)))); | 
|  | #endif | 
|  | } | 
|  | }; | 
|  |  | 
|  | template<> struct conj_helper<Packet4f, Packet2cf, false,false> | 
|  | { | 
|  | EIGEN_STRONG_INLINE Packet2cf pmadd(const Packet4f& x, const Packet2cf& y, const Packet2cf& c) const | 
|  | { return padd(c, pmul(x,y)); } | 
|  |  | 
|  | EIGEN_STRONG_INLINE Packet2cf pmul(const Packet4f& x, const Packet2cf& y) const | 
|  | { return Packet2cf(Eigen::internal::pmul<Packet4f>(x, y.v)); } | 
|  | }; | 
|  |  | 
|  | template<> struct conj_helper<Packet2cf, Packet4f, false,false> | 
|  | { | 
|  | EIGEN_STRONG_INLINE Packet2cf pmadd(const Packet2cf& x, const Packet4f& y, const Packet2cf& c) const | 
|  | { return padd(c, pmul(x,y)); } | 
|  |  | 
|  | EIGEN_STRONG_INLINE Packet2cf pmul(const Packet2cf& x, const Packet4f& y) const | 
|  | { return Packet2cf(Eigen::internal::pmul<Packet4f>(x.v, y)); } | 
|  | }; | 
|  |  | 
|  | template<> EIGEN_STRONG_INLINE Packet2cf pdiv<Packet2cf>(const Packet2cf& a, const Packet2cf& b) | 
|  | { | 
|  | // TODO optimize it for SSE3 and 4 | 
|  | Packet2cf res = conj_helper<Packet2cf,Packet2cf,false,true>().pmul(a,b); | 
|  | __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))))); | 
|  | } | 
|  |  | 
|  | EIGEN_STRONG_INLINE Packet2cf pcplxflip/*<Packet2cf>*/(const Packet2cf& x) | 
|  | { | 
|  | return Packet2cf(vec4f_swizzle1(x.v, 1, 0, 3, 2)); | 
|  | } | 
|  |  | 
|  |  | 
|  | //---------- double ---------- | 
|  | struct Packet1cd | 
|  | { | 
|  | EIGEN_STRONG_INLINE Packet1cd() {} | 
|  | EIGEN_STRONG_INLINE explicit Packet1cd(const __m128d& a) : v(a) {} | 
|  | __m128d  v; | 
|  | }; | 
|  |  | 
|  | // Use the packet_traits defined in AVX/PacketMath.h instead if we're going | 
|  | // to leverage AVX instructions. | 
|  | #ifndef EIGEN_VECTORIZE_AVX | 
|  | template<> struct packet_traits<std::complex<double> >  : default_packet_traits | 
|  | { | 
|  | typedef Packet1cd type; | 
|  | typedef Packet1cd half; | 
|  | enum { | 
|  | Vectorizable = 1, | 
|  | AlignedOnScalar = 0, | 
|  | size = 1, | 
|  | HasHalfPacket = 0, | 
|  |  | 
|  | HasAdd    = 1, | 
|  | HasSub    = 1, | 
|  | HasMul    = 1, | 
|  | HasDiv    = 1, | 
|  | HasNegate = 1, | 
|  | HasAbs    = 0, | 
|  | HasAbs2   = 0, | 
|  | HasMin    = 0, | 
|  | HasMax    = 0, | 
|  | HasSetLinear = 0 | 
|  | }; | 
|  | }; | 
|  | #endif | 
|  |  | 
|  | template<> struct unpacket_traits<Packet1cd> { typedef std::complex<double> type; enum {size=1, alignment=Aligned16}; typedef Packet1cd half; }; | 
|  |  | 
|  | template<> EIGEN_STRONG_INLINE Packet1cd padd<Packet1cd>(const Packet1cd& a, const Packet1cd& b) { return Packet1cd(_mm_add_pd(a.v,b.v)); } | 
|  | template<> EIGEN_STRONG_INLINE Packet1cd psub<Packet1cd>(const Packet1cd& a, const Packet1cd& b) { return Packet1cd(_mm_sub_pd(a.v,b.v)); } | 
|  | template<> EIGEN_STRONG_INLINE Packet1cd pnegate(const Packet1cd& a) { return Packet1cd(pnegate(Packet2d(a.v))); } | 
|  | template<> EIGEN_STRONG_INLINE Packet1cd pconj(const Packet1cd& a) | 
|  | { | 
|  | const __m128d mask = _mm_castsi128_pd(_mm_set_epi32(0x80000000,0x0,0x0,0x0)); | 
|  | return Packet1cd(_mm_xor_pd(a.v,mask)); | 
|  | } | 
|  |  | 
|  | template<> EIGEN_STRONG_INLINE Packet1cd pmul<Packet1cd>(const Packet1cd& a, const Packet1cd& b) | 
|  | { | 
|  | // TODO optimize it for SSE3 and 4 | 
|  | #ifdef EIGEN_VECTORIZE_SSE3 | 
|  | return Packet1cd(_mm_addsub_pd(_mm_mul_pd(vec2d_swizzle1(a.v, 0, 0), b.v), | 
|  | _mm_mul_pd(vec2d_swizzle1(a.v, 1, 1), | 
|  | vec2d_swizzle1(b.v, 1, 0)))); | 
|  | #else | 
|  | const __m128d mask = _mm_castsi128_pd(_mm_set_epi32(0x0,0x0,0x80000000,0x0)); | 
|  | return Packet1cd(_mm_add_pd(_mm_mul_pd(vec2d_swizzle1(a.v, 0, 0), b.v), | 
|  | _mm_xor_pd(_mm_mul_pd(vec2d_swizzle1(a.v, 1, 1), | 
|  | vec2d_swizzle1(b.v, 1, 0)), mask))); | 
|  | #endif | 
|  | } | 
|  |  | 
|  | template<> EIGEN_STRONG_INLINE Packet1cd pand   <Packet1cd>(const Packet1cd& a, const Packet1cd& b) { return Packet1cd(_mm_and_pd(a.v,b.v)); } | 
|  | template<> EIGEN_STRONG_INLINE Packet1cd por    <Packet1cd>(const Packet1cd& a, const Packet1cd& b) { return Packet1cd(_mm_or_pd(a.v,b.v)); } | 
|  | template<> EIGEN_STRONG_INLINE Packet1cd pxor   <Packet1cd>(const Packet1cd& a, const Packet1cd& b) { return Packet1cd(_mm_xor_pd(a.v,b.v)); } | 
|  | template<> EIGEN_STRONG_INLINE Packet1cd pandnot<Packet1cd>(const Packet1cd& a, const Packet1cd& b) { return Packet1cd(_mm_andnot_pd(a.v,b.v)); } | 
|  |  | 
|  | // FIXME force unaligned load, this is a temporary fix | 
|  | template<> EIGEN_STRONG_INLINE Packet1cd pload <Packet1cd>(const std::complex<double>* from) | 
|  | { EIGEN_DEBUG_ALIGNED_LOAD return Packet1cd(pload<Packet2d>((const double*)from)); } | 
|  | template<> EIGEN_STRONG_INLINE Packet1cd ploadu<Packet1cd>(const std::complex<double>* from) | 
|  | { EIGEN_DEBUG_UNALIGNED_LOAD return Packet1cd(ploadu<Packet2d>((const double*)from)); } | 
|  | template<> EIGEN_STRONG_INLINE Packet1cd pset1<Packet1cd>(const std::complex<double>&  from) | 
|  | { /* here we really have to use unaligned loads :( */ return ploadu<Packet1cd>(&from); } | 
|  |  | 
|  | template<> EIGEN_STRONG_INLINE Packet1cd ploaddup<Packet1cd>(const std::complex<double>* from) { return pset1<Packet1cd>(*from); } | 
|  |  | 
|  | // FIXME force unaligned store, this is a temporary fix | 
|  | template<> EIGEN_STRONG_INLINE void pstore <std::complex<double> >(std::complex<double> *   to, const Packet1cd& from) { EIGEN_DEBUG_ALIGNED_STORE pstore((double*)to, Packet2d(from.v)); } | 
|  | template<> EIGEN_STRONG_INLINE void pstoreu<std::complex<double> >(std::complex<double> *   to, const Packet1cd& from) { EIGEN_DEBUG_UNALIGNED_STORE pstoreu((double*)to, Packet2d(from.v)); } | 
|  |  | 
|  | template<> EIGEN_STRONG_INLINE void prefetch<std::complex<double> >(const std::complex<double> *   addr) { _mm_prefetch((const char*)(addr), _MM_HINT_T0); } | 
|  |  | 
|  | template<> EIGEN_STRONG_INLINE std::complex<double>  pfirst<Packet1cd>(const Packet1cd& a) | 
|  | { | 
|  | EIGEN_ALIGN16 double res[2]; | 
|  | _mm_store_pd(res, a.v); | 
|  | return std::complex<double>(res[0],res[1]); | 
|  | } | 
|  |  | 
|  | template<> EIGEN_STRONG_INLINE Packet1cd preverse(const Packet1cd& a) { return a; } | 
|  |  | 
|  | template<> EIGEN_STRONG_INLINE std::complex<double> predux<Packet1cd>(const Packet1cd& a) | 
|  | { | 
|  | return pfirst(a); | 
|  | } | 
|  |  | 
|  | template<> EIGEN_STRONG_INLINE Packet1cd preduxp<Packet1cd>(const Packet1cd* vecs) | 
|  | { | 
|  | return vecs[0]; | 
|  | } | 
|  |  | 
|  | template<> EIGEN_STRONG_INLINE std::complex<double> predux_mul<Packet1cd>(const Packet1cd& a) | 
|  | { | 
|  | return pfirst(a); | 
|  | } | 
|  |  | 
|  | template<int Offset> | 
|  | struct palign_impl<Offset,Packet1cd> | 
|  | { | 
|  | static EIGEN_STRONG_INLINE void run(Packet1cd& /*first*/, const Packet1cd& /*second*/) | 
|  | { | 
|  | // FIXME is it sure we never have to align a Packet1cd? | 
|  | // Even though a std::complex<double> has 16 bytes, it is not necessarily aligned on a 16 bytes boundary... | 
|  | } | 
|  | }; | 
|  |  | 
|  | template<> struct conj_helper<Packet1cd, Packet1cd, false,true> | 
|  | { | 
|  | EIGEN_STRONG_INLINE Packet1cd pmadd(const Packet1cd& x, const Packet1cd& y, const Packet1cd& c) const | 
|  | { return padd(pmul(x,y),c); } | 
|  |  | 
|  | EIGEN_STRONG_INLINE Packet1cd pmul(const Packet1cd& a, const Packet1cd& b) const | 
|  | { | 
|  | #ifdef EIGEN_VECTORIZE_SSE3 | 
|  | return internal::pmul(a, pconj(b)); | 
|  | #else | 
|  | const __m128d mask = _mm_castsi128_pd(_mm_set_epi32(0x80000000,0x0,0x0,0x0)); | 
|  | return Packet1cd(_mm_add_pd(_mm_xor_pd(_mm_mul_pd(vec2d_swizzle1(a.v, 0, 0), b.v), mask), | 
|  | _mm_mul_pd(vec2d_swizzle1(a.v, 1, 1), | 
|  | vec2d_swizzle1(b.v, 1, 0)))); | 
|  | #endif | 
|  | } | 
|  | }; | 
|  |  | 
|  | template<> struct conj_helper<Packet1cd, Packet1cd, true,false> | 
|  | { | 
|  | EIGEN_STRONG_INLINE Packet1cd pmadd(const Packet1cd& x, const Packet1cd& y, const Packet1cd& c) const | 
|  | { return padd(pmul(x,y),c); } | 
|  |  | 
|  | EIGEN_STRONG_INLINE Packet1cd pmul(const Packet1cd& a, const Packet1cd& b) const | 
|  | { | 
|  | #ifdef EIGEN_VECTORIZE_SSE3 | 
|  | return internal::pmul(pconj(a), b); | 
|  | #else | 
|  | const __m128d mask = _mm_castsi128_pd(_mm_set_epi32(0x80000000,0x0,0x0,0x0)); | 
|  | return Packet1cd(_mm_add_pd(_mm_mul_pd(vec2d_swizzle1(a.v, 0, 0), b.v), | 
|  | _mm_xor_pd(_mm_mul_pd(vec2d_swizzle1(a.v, 1, 1), | 
|  | vec2d_swizzle1(b.v, 1, 0)), mask))); | 
|  | #endif | 
|  | } | 
|  | }; | 
|  |  | 
|  | template<> struct conj_helper<Packet1cd, Packet1cd, true,true> | 
|  | { | 
|  | EIGEN_STRONG_INLINE Packet1cd pmadd(const Packet1cd& x, const Packet1cd& y, const Packet1cd& c) const | 
|  | { return padd(pmul(x,y),c); } | 
|  |  | 
|  | EIGEN_STRONG_INLINE Packet1cd pmul(const Packet1cd& a, const Packet1cd& b) const | 
|  | { | 
|  | #ifdef EIGEN_VECTORIZE_SSE3 | 
|  | return pconj(internal::pmul(a, b)); | 
|  | #else | 
|  | const __m128d mask = _mm_castsi128_pd(_mm_set_epi32(0x80000000,0x0,0x0,0x0)); | 
|  | return Packet1cd(_mm_sub_pd(_mm_xor_pd(_mm_mul_pd(vec2d_swizzle1(a.v, 0, 0), b.v), mask), | 
|  | _mm_mul_pd(vec2d_swizzle1(a.v, 1, 1), | 
|  | vec2d_swizzle1(b.v, 1, 0)))); | 
|  | #endif | 
|  | } | 
|  | }; | 
|  |  | 
|  | template<> struct conj_helper<Packet2d, Packet1cd, false,false> | 
|  | { | 
|  | EIGEN_STRONG_INLINE Packet1cd pmadd(const Packet2d& x, const Packet1cd& y, const Packet1cd& c) const | 
|  | { return padd(c, pmul(x,y)); } | 
|  |  | 
|  | EIGEN_STRONG_INLINE Packet1cd pmul(const Packet2d& x, const Packet1cd& y) const | 
|  | { return Packet1cd(Eigen::internal::pmul<Packet2d>(x, y.v)); } | 
|  | }; | 
|  |  | 
|  | template<> struct conj_helper<Packet1cd, Packet2d, false,false> | 
|  | { | 
|  | EIGEN_STRONG_INLINE Packet1cd pmadd(const Packet1cd& x, const Packet2d& y, const Packet1cd& c) const | 
|  | { return padd(c, pmul(x,y)); } | 
|  |  | 
|  | EIGEN_STRONG_INLINE Packet1cd pmul(const Packet1cd& x, const Packet2d& y) const | 
|  | { return Packet1cd(Eigen::internal::pmul<Packet2d>(x.v, y)); } | 
|  | }; | 
|  |  | 
|  | template<> EIGEN_STRONG_INLINE Packet1cd pdiv<Packet1cd>(const Packet1cd& a, const Packet1cd& b) | 
|  | { | 
|  | // TODO optimize it for SSE3 and 4 | 
|  | Packet1cd res = conj_helper<Packet1cd,Packet1cd,false,true>().pmul(a,b); | 
|  | __m128d s = _mm_mul_pd(b.v,b.v); | 
|  | return Packet1cd(_mm_div_pd(res.v, _mm_add_pd(s,_mm_shuffle_pd(s, s, 0x1)))); | 
|  | } | 
|  |  | 
|  | EIGEN_STRONG_INLINE Packet1cd pcplxflip/*<Packet1cd>*/(const Packet1cd& x) | 
|  | { | 
|  | return Packet1cd(preverse(Packet2d(x.v))); | 
|  | } | 
|  |  | 
|  | EIGEN_DEVICE_FUNC inline void | 
|  | ptranspose(PacketBlock<Packet2cf,2>& kernel) { | 
|  | __m128d w1 = _mm_castps_pd(kernel.packet[0].v); | 
|  | __m128d w2 = _mm_castps_pd(kernel.packet[1].v); | 
|  |  | 
|  | __m128 tmp = _mm_castpd_ps(_mm_unpackhi_pd(w1, w2)); | 
|  | kernel.packet[0].v = _mm_castpd_ps(_mm_unpacklo_pd(w1, w2)); | 
|  | kernel.packet[1].v = tmp; | 
|  | } | 
|  |  | 
|  | template<>  EIGEN_STRONG_INLINE Packet2cf pblend(const Selector<2>& ifPacket, const Packet2cf& thenPacket, const Packet2cf& elsePacket) { | 
|  | __m128d result = pblend<Packet2d>(ifPacket, _mm_castps_pd(thenPacket.v), _mm_castps_pd(elsePacket.v)); | 
|  | return Packet2cf(_mm_castpd_ps(result)); | 
|  | } | 
|  |  | 
|  | } // end namespace internal | 
|  |  | 
|  | } // end namespace Eigen | 
|  |  | 
|  | #endif // EIGEN_COMPLEX_SSE_H |