Eigen  3.3.3
Complex.h
00001 // This file is part of Eigen, a lightweight C++ template library
00002 // for linear algebra.
00003 //
00004 // Copyright (C) 2010 Gael Guennebaud <gael.guennebaud@inria.fr>
00005 //
00006 // This Source Code Form is subject to the terms of the Mozilla
00007 // Public License v. 2.0. If a copy of the MPL was not distributed
00008 // with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
00009 
00010 #ifndef EIGEN_COMPLEX_SSE_H
00011 #define EIGEN_COMPLEX_SSE_H
00012 
00013 namespace Eigen {
00014 
00015 namespace internal {
00016 
00017 //---------- float ----------
00018 struct Packet2cf
00019 {
00020   EIGEN_STRONG_INLINE Packet2cf() {}
00021   EIGEN_STRONG_INLINE explicit Packet2cf(const __m128& a) : v(a) {}
00022   __m128  v;
00023 };
00024 
00025 // Use the packet_traits defined in AVX/PacketMath.h instead if we're going
00026 // to leverage AVX instructions.
00027 #ifndef EIGEN_VECTORIZE_AVX
00028 template<> struct packet_traits<std::complex<float> >  : default_packet_traits
00029 {
00030   typedef Packet2cf type;
00031   typedef Packet2cf half;
00032   enum {
00033     Vectorizable = 1,
00034     AlignedOnScalar = 1,
00035     size = 2,
00036     HasHalfPacket = 0,
00037 
00038     HasAdd    = 1,
00039     HasSub    = 1,
00040     HasMul    = 1,
00041     HasDiv    = 1,
00042     HasNegate = 1,
00043     HasAbs    = 0,
00044     HasAbs2   = 0,
00045     HasMin    = 0,
00046     HasMax    = 0,
00047     HasSetLinear = 0,
00048     HasBlend = 1
00049   };
00050 };
00051 #endif
00052 
00053 template<> struct unpacket_traits<Packet2cf> { typedef std::complex<float> type; enum {size=2, alignment=Aligned16}; typedef Packet2cf half; };
00054 
00055 template<> EIGEN_STRONG_INLINE Packet2cf padd<Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(_mm_add_ps(a.v,b.v)); }
00056 template<> EIGEN_STRONG_INLINE Packet2cf psub<Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(_mm_sub_ps(a.v,b.v)); }
00057 template<> EIGEN_STRONG_INLINE Packet2cf pnegate(const Packet2cf& a)
00058 {
00059   const __m128 mask = _mm_castsi128_ps(_mm_setr_epi32(0x80000000,0x80000000,0x80000000,0x80000000));
00060   return Packet2cf(_mm_xor_ps(a.v,mask));
00061 }
00062 template<> EIGEN_STRONG_INLINE Packet2cf pconj(const Packet2cf& a)
00063 {
00064   const __m128 mask = _mm_castsi128_ps(_mm_setr_epi32(0x00000000,0x80000000,0x00000000,0x80000000));
00065   return Packet2cf(_mm_xor_ps(a.v,mask));
00066 }
00067 
00068 template<> EIGEN_STRONG_INLINE Packet2cf pmul<Packet2cf>(const Packet2cf& a, const Packet2cf& b)
00069 {
00070   #ifdef EIGEN_VECTORIZE_SSE3
00071   return Packet2cf(_mm_addsub_ps(_mm_mul_ps(_mm_moveldup_ps(a.v), b.v),
00072                                  _mm_mul_ps(_mm_movehdup_ps(a.v),
00073                                             vec4f_swizzle1(b.v, 1, 0, 3, 2))));
00074 //   return Packet2cf(_mm_addsub_ps(_mm_mul_ps(vec4f_swizzle1(a.v, 0, 0, 2, 2), b.v),
00075 //                                  _mm_mul_ps(vec4f_swizzle1(a.v, 1, 1, 3, 3),
00076 //                                             vec4f_swizzle1(b.v, 1, 0, 3, 2))));
00077   #else
00078   const __m128 mask = _mm_castsi128_ps(_mm_setr_epi32(0x80000000,0x00000000,0x80000000,0x00000000));
00079   return Packet2cf(_mm_add_ps(_mm_mul_ps(vec4f_swizzle1(a.v, 0, 0, 2, 2), b.v),
00080                               _mm_xor_ps(_mm_mul_ps(vec4f_swizzle1(a.v, 1, 1, 3, 3),
00081                                                     vec4f_swizzle1(b.v, 1, 0, 3, 2)), mask)));
00082   #endif
00083 }
00084 
00085 template<> EIGEN_STRONG_INLINE Packet2cf pand   <Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(_mm_and_ps(a.v,b.v)); }
00086 template<> EIGEN_STRONG_INLINE Packet2cf por    <Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(_mm_or_ps(a.v,b.v)); }
00087 template<> EIGEN_STRONG_INLINE Packet2cf pxor   <Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(_mm_xor_ps(a.v,b.v)); }
00088 template<> EIGEN_STRONG_INLINE Packet2cf pandnot<Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(_mm_andnot_ps(a.v,b.v)); }
00089 
00090 template<> EIGEN_STRONG_INLINE Packet2cf pload <Packet2cf>(const std::complex<float>* from) { EIGEN_DEBUG_ALIGNED_LOAD return Packet2cf(pload<Packet4f>(&numext::real_ref(*from))); }
00091 template<> EIGEN_STRONG_INLINE Packet2cf ploadu<Packet2cf>(const std::complex<float>* from) { EIGEN_DEBUG_UNALIGNED_LOAD return Packet2cf(ploadu<Packet4f>(&numext::real_ref(*from))); }
00092 
00093 template<> EIGEN_STRONG_INLINE Packet2cf pset1<Packet2cf>(const std::complex<float>&  from)
00094 {
00095   Packet2cf res;
00096 #if EIGEN_GNUC_AT_MOST(4,2)
00097   // Workaround annoying "may be used uninitialized in this function" warning with gcc 4.2
00098   res.v = _mm_loadl_pi(_mm_set1_ps(0.0f), reinterpret_cast<const __m64*>(&from));
00099 #elif EIGEN_GNUC_AT_LEAST(4,6)
00100   // Suppress annoying "may be used uninitialized in this function" warning with gcc >= 4.6
00101   #pragma GCC diagnostic push
00102   #pragma GCC diagnostic ignored "-Wuninitialized"
00103   res.v = _mm_loadl_pi(res.v, (const __m64*)&from);
00104   #pragma GCC diagnostic pop
00105 #else
00106   res.v = _mm_loadl_pi(res.v, (const __m64*)&from);
00107 #endif
00108   return Packet2cf(_mm_movelh_ps(res.v,res.v));
00109 }
00110 
00111 template<> EIGEN_STRONG_INLINE Packet2cf ploaddup<Packet2cf>(const std::complex<float>* from) { return pset1<Packet2cf>(*from); }
00112 
00113 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)); }
00114 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)); }
00115 
00116 
00117 template<> EIGEN_DEVICE_FUNC inline Packet2cf pgather<std::complex<float>, Packet2cf>(const std::complex<float>* from, Index stride)
00118 {
00119   return Packet2cf(_mm_set_ps(std::imag(from[1*stride]), std::real(from[1*stride]),
00120                               std::imag(from[0*stride]), std::real(from[0*stride])));
00121 }
00122 
00123 template<> EIGEN_DEVICE_FUNC inline void pscatter<std::complex<float>, Packet2cf>(std::complex<float>* to, const Packet2cf& from, Index stride)
00124 {
00125   to[stride*0] = std::complex<float>(_mm_cvtss_f32(_mm_shuffle_ps(from.v, from.v, 0)),
00126                                      _mm_cvtss_f32(_mm_shuffle_ps(from.v, from.v, 1)));
00127   to[stride*1] = std::complex<float>(_mm_cvtss_f32(_mm_shuffle_ps(from.v, from.v, 2)),
00128                                      _mm_cvtss_f32(_mm_shuffle_ps(from.v, from.v, 3)));
00129 }
00130 
00131 template<> EIGEN_STRONG_INLINE void prefetch<std::complex<float> >(const std::complex<float> *   addr) { _mm_prefetch((const char*)(addr), _MM_HINT_T0); }
00132 
00133 template<> EIGEN_STRONG_INLINE std::complex<float>  pfirst<Packet2cf>(const Packet2cf& a)
00134 {
00135   #if EIGEN_GNUC_AT_MOST(4,3)
00136   // Workaround gcc 4.2 ICE - this is not performance wise ideal, but who cares...
00137   // This workaround also fix invalid code generation with gcc 4.3
00138   EIGEN_ALIGN16 std::complex<float> res[2];
00139   _mm_store_ps((float*)res, a.v);
00140   return res[0];
00141   #else
00142   std::complex<float> res;
00143   _mm_storel_pi((__m64*)&res, a.v);
00144   return res;
00145   #endif
00146 }
00147 
00148 template<> EIGEN_STRONG_INLINE Packet2cf preverse(const Packet2cf& a) { return Packet2cf(_mm_castpd_ps(preverse(Packet2d(_mm_castps_pd(a.v))))); }
00149 
00150 template<> EIGEN_STRONG_INLINE std::complex<float> predux<Packet2cf>(const Packet2cf& a)
00151 {
00152   return pfirst(Packet2cf(_mm_add_ps(a.v, _mm_movehl_ps(a.v,a.v))));
00153 }
00154 
00155 template<> EIGEN_STRONG_INLINE Packet2cf preduxp<Packet2cf>(const Packet2cf* vecs)
00156 {
00157   return Packet2cf(_mm_add_ps(_mm_movelh_ps(vecs[0].v,vecs[1].v), _mm_movehl_ps(vecs[1].v,vecs[0].v)));
00158 }
00159 
00160 template<> EIGEN_STRONG_INLINE std::complex<float> predux_mul<Packet2cf>(const Packet2cf& a)
00161 {
00162   return pfirst(pmul(a, Packet2cf(_mm_movehl_ps(a.v,a.v))));
00163 }
00164 
00165 template<int Offset>
00166 struct palign_impl<Offset,Packet2cf>
00167 {
00168   static EIGEN_STRONG_INLINE void run(Packet2cf& first, const Packet2cf& second)
00169   {
00170     if (Offset==1)
00171     {
00172       first.v = _mm_movehl_ps(first.v, first.v);
00173       first.v = _mm_movelh_ps(first.v, second.v);
00174     }
00175   }
00176 };
00177 
00178 template<> struct conj_helper<Packet2cf, Packet2cf, false,true>
00179 {
00180   EIGEN_STRONG_INLINE Packet2cf pmadd(const Packet2cf& x, const Packet2cf& y, const Packet2cf& c) const
00181   { return padd(pmul(x,y),c); }
00182 
00183   EIGEN_STRONG_INLINE Packet2cf pmul(const Packet2cf& a, const Packet2cf& b) const
00184   {
00185     #ifdef EIGEN_VECTORIZE_SSE3
00186     return internal::pmul(a, pconj(b));
00187     #else
00188     const __m128 mask = _mm_castsi128_ps(_mm_setr_epi32(0x00000000,0x80000000,0x00000000,0x80000000));
00189     return Packet2cf(_mm_add_ps(_mm_xor_ps(_mm_mul_ps(vec4f_swizzle1(a.v, 0, 0, 2, 2), b.v), mask),
00190                                 _mm_mul_ps(vec4f_swizzle1(a.v, 1, 1, 3, 3),
00191                                            vec4f_swizzle1(b.v, 1, 0, 3, 2))));
00192     #endif
00193   }
00194 };
00195 
00196 template<> struct conj_helper<Packet2cf, Packet2cf, true,false>
00197 {
00198   EIGEN_STRONG_INLINE Packet2cf pmadd(const Packet2cf& x, const Packet2cf& y, const Packet2cf& c) const
00199   { return padd(pmul(x,y),c); }
00200 
00201   EIGEN_STRONG_INLINE Packet2cf pmul(const Packet2cf& a, const Packet2cf& b) const
00202   {
00203     #ifdef EIGEN_VECTORIZE_SSE3
00204     return internal::pmul(pconj(a), b);
00205     #else
00206     const __m128 mask = _mm_castsi128_ps(_mm_setr_epi32(0x00000000,0x80000000,0x00000000,0x80000000));
00207     return Packet2cf(_mm_add_ps(_mm_mul_ps(vec4f_swizzle1(a.v, 0, 0, 2, 2), b.v),
00208                                 _mm_xor_ps(_mm_mul_ps(vec4f_swizzle1(a.v, 1, 1, 3, 3),
00209                                                       vec4f_swizzle1(b.v, 1, 0, 3, 2)), mask)));
00210     #endif
00211   }
00212 };
00213 
00214 template<> struct conj_helper<Packet2cf, Packet2cf, true,true>
00215 {
00216   EIGEN_STRONG_INLINE Packet2cf pmadd(const Packet2cf& x, const Packet2cf& y, const Packet2cf& c) const
00217   { return padd(pmul(x,y),c); }
00218 
00219   EIGEN_STRONG_INLINE Packet2cf pmul(const Packet2cf& a, const Packet2cf& b) const
00220   {
00221     #ifdef EIGEN_VECTORIZE_SSE3
00222     return pconj(internal::pmul(a, b));
00223     #else
00224     const __m128 mask = _mm_castsi128_ps(_mm_setr_epi32(0x00000000,0x80000000,0x00000000,0x80000000));
00225     return Packet2cf(_mm_sub_ps(_mm_xor_ps(_mm_mul_ps(vec4f_swizzle1(a.v, 0, 0, 2, 2), b.v), mask),
00226                                 _mm_mul_ps(vec4f_swizzle1(a.v, 1, 1, 3, 3),
00227                                            vec4f_swizzle1(b.v, 1, 0, 3, 2))));
00228     #endif
00229   }
00230 };
00231 
00232 template<> struct conj_helper<Packet4f, Packet2cf, false,false>
00233 {
00234   EIGEN_STRONG_INLINE Packet2cf pmadd(const Packet4f& x, const Packet2cf& y, const Packet2cf& c) const
00235   { return padd(c, pmul(x,y)); }
00236 
00237   EIGEN_STRONG_INLINE Packet2cf pmul(const Packet4f& x, const Packet2cf& y) const
00238   { return Packet2cf(Eigen::internal::pmul<Packet4f>(x, y.v)); }
00239 };
00240 
00241 template<> struct conj_helper<Packet2cf, Packet4f, false,false>
00242 {
00243   EIGEN_STRONG_INLINE Packet2cf pmadd(const Packet2cf& x, const Packet4f& y, const Packet2cf& c) const
00244   { return padd(c, pmul(x,y)); }
00245 
00246   EIGEN_STRONG_INLINE Packet2cf pmul(const Packet2cf& x, const Packet4f& y) const
00247   { return Packet2cf(Eigen::internal::pmul<Packet4f>(x.v, y)); }
00248 };
00249 
00250 template<> EIGEN_STRONG_INLINE Packet2cf pdiv<Packet2cf>(const Packet2cf& a, const Packet2cf& b)
00251 {
00252   // TODO optimize it for SSE3 and 4
00253   Packet2cf res = conj_helper<Packet2cf,Packet2cf,false,true>().pmul(a,b);
00254   __m128 s = _mm_mul_ps(b.v,b.v);
00255   return Packet2cf(_mm_div_ps(res.v,_mm_add_ps(s,_mm_castsi128_ps(_mm_shuffle_epi32(_mm_castps_si128(s), 0xb1)))));
00256 }
00257 
00258 EIGEN_STRONG_INLINE Packet2cf pcplxflip/* <Packet2cf> */(const Packet2cf& x)
00259 {
00260   return Packet2cf(vec4f_swizzle1(x.v, 1, 0, 3, 2));
00261 }
00262 
00263 
00264 //---------- double ----------
00265 struct Packet1cd
00266 {
00267   EIGEN_STRONG_INLINE Packet1cd() {}
00268   EIGEN_STRONG_INLINE explicit Packet1cd(const __m128d& a) : v(a) {}
00269   __m128d  v;
00270 };
00271 
00272 // Use the packet_traits defined in AVX/PacketMath.h instead if we're going
00273 // to leverage AVX instructions.
00274 #ifndef EIGEN_VECTORIZE_AVX
00275 template<> struct packet_traits<std::complex<double> >  : default_packet_traits
00276 {
00277   typedef Packet1cd type;
00278   typedef Packet1cd half;
00279   enum {
00280     Vectorizable = 1,
00281     AlignedOnScalar = 0,
00282     size = 1,
00283     HasHalfPacket = 0,
00284 
00285     HasAdd    = 1,
00286     HasSub    = 1,
00287     HasMul    = 1,
00288     HasDiv    = 1,
00289     HasNegate = 1,
00290     HasAbs    = 0,
00291     HasAbs2   = 0,
00292     HasMin    = 0,
00293     HasMax    = 0,
00294     HasSetLinear = 0
00295   };
00296 };
00297 #endif
00298 
00299 template<> struct unpacket_traits<Packet1cd> { typedef std::complex<double> type; enum {size=1, alignment=Aligned16}; typedef Packet1cd half; };
00300 
00301 template<> EIGEN_STRONG_INLINE Packet1cd padd<Packet1cd>(const Packet1cd& a, const Packet1cd& b) { return Packet1cd(_mm_add_pd(a.v,b.v)); }
00302 template<> EIGEN_STRONG_INLINE Packet1cd psub<Packet1cd>(const Packet1cd& a, const Packet1cd& b) { return Packet1cd(_mm_sub_pd(a.v,b.v)); }
00303 template<> EIGEN_STRONG_INLINE Packet1cd pnegate(const Packet1cd& a) { return Packet1cd(pnegate(Packet2d(a.v))); }
00304 template<> EIGEN_STRONG_INLINE Packet1cd pconj(const Packet1cd& a)
00305 {
00306   const __m128d mask = _mm_castsi128_pd(_mm_set_epi32(0x80000000,0x0,0x0,0x0));
00307   return Packet1cd(_mm_xor_pd(a.v,mask));
00308 }
00309 
00310 template<> EIGEN_STRONG_INLINE Packet1cd pmul<Packet1cd>(const Packet1cd& a, const Packet1cd& b)
00311 {
00312   #ifdef EIGEN_VECTORIZE_SSE3
00313   return Packet1cd(_mm_addsub_pd(_mm_mul_pd(_mm_movedup_pd(a.v), b.v),
00314                                  _mm_mul_pd(vec2d_swizzle1(a.v, 1, 1),
00315                                             vec2d_swizzle1(b.v, 1, 0))));
00316   #else
00317   const __m128d mask = _mm_castsi128_pd(_mm_set_epi32(0x0,0x0,0x80000000,0x0));
00318   return Packet1cd(_mm_add_pd(_mm_mul_pd(vec2d_swizzle1(a.v, 0, 0), b.v),
00319                               _mm_xor_pd(_mm_mul_pd(vec2d_swizzle1(a.v, 1, 1),
00320                                                     vec2d_swizzle1(b.v, 1, 0)), mask)));
00321   #endif
00322 }
00323 
00324 template<> EIGEN_STRONG_INLINE Packet1cd pand   <Packet1cd>(const Packet1cd& a, const Packet1cd& b) { return Packet1cd(_mm_and_pd(a.v,b.v)); }
00325 template<> EIGEN_STRONG_INLINE Packet1cd por    <Packet1cd>(const Packet1cd& a, const Packet1cd& b) { return Packet1cd(_mm_or_pd(a.v,b.v)); }
00326 template<> EIGEN_STRONG_INLINE Packet1cd pxor   <Packet1cd>(const Packet1cd& a, const Packet1cd& b) { return Packet1cd(_mm_xor_pd(a.v,b.v)); }
00327 template<> EIGEN_STRONG_INLINE Packet1cd pandnot<Packet1cd>(const Packet1cd& a, const Packet1cd& b) { return Packet1cd(_mm_andnot_pd(a.v,b.v)); }
00328 
00329 // FIXME force unaligned load, this is a temporary fix
00330 template<> EIGEN_STRONG_INLINE Packet1cd pload <Packet1cd>(const std::complex<double>* from)
00331 { EIGEN_DEBUG_ALIGNED_LOAD return Packet1cd(pload<Packet2d>((const double*)from)); }
00332 template<> EIGEN_STRONG_INLINE Packet1cd ploadu<Packet1cd>(const std::complex<double>* from)
00333 { EIGEN_DEBUG_UNALIGNED_LOAD return Packet1cd(ploadu<Packet2d>((const double*)from)); }
00334 template<> EIGEN_STRONG_INLINE Packet1cd pset1<Packet1cd>(const std::complex<double>&  from)
00335 { /* here we really have to use unaligned loads :( */ return ploadu<Packet1cd>(&from); }
00336 
00337 template<> EIGEN_STRONG_INLINE Packet1cd ploaddup<Packet1cd>(const std::complex<double>* from) { return pset1<Packet1cd>(*from); }
00338 
00339 // FIXME force unaligned store, this is a temporary fix
00340 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)); }
00341 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)); }
00342 
00343 template<> EIGEN_STRONG_INLINE void prefetch<std::complex<double> >(const std::complex<double> *   addr) { _mm_prefetch((const char*)(addr), _MM_HINT_T0); }
00344 
00345 template<> EIGEN_STRONG_INLINE std::complex<double>  pfirst<Packet1cd>(const Packet1cd& a)
00346 {
00347   EIGEN_ALIGN16 double res[2];
00348   _mm_store_pd(res, a.v);
00349   return std::complex<double>(res[0],res[1]);
00350 }
00351 
00352 template<> EIGEN_STRONG_INLINE Packet1cd preverse(const Packet1cd& a) { return a; }
00353 
00354 template<> EIGEN_STRONG_INLINE std::complex<double> predux<Packet1cd>(const Packet1cd& a)
00355 {
00356   return pfirst(a);
00357 }
00358 
00359 template<> EIGEN_STRONG_INLINE Packet1cd preduxp<Packet1cd>(const Packet1cd* vecs)
00360 {
00361   return vecs[0];
00362 }
00363 
00364 template<> EIGEN_STRONG_INLINE std::complex<double> predux_mul<Packet1cd>(const Packet1cd& a)
00365 {
00366   return pfirst(a);
00367 }
00368 
00369 template<int Offset>
00370 struct palign_impl<Offset,Packet1cd>
00371 {
00372   static EIGEN_STRONG_INLINE void run(Packet1cd& /*first*/, const Packet1cd& /*second*/)
00373   {
00374     // FIXME is it sure we never have to align a Packet1cd?
00375     // Even though a std::complex<double> has 16 bytes, it is not necessarily aligned on a 16 bytes boundary...
00376   }
00377 };
00378 
00379 template<> struct conj_helper<Packet1cd, Packet1cd, false,true>
00380 {
00381   EIGEN_STRONG_INLINE Packet1cd pmadd(const Packet1cd& x, const Packet1cd& y, const Packet1cd& c) const
00382   { return padd(pmul(x,y),c); }
00383 
00384   EIGEN_STRONG_INLINE Packet1cd pmul(const Packet1cd& a, const Packet1cd& b) const
00385   {
00386     #ifdef EIGEN_VECTORIZE_SSE3
00387     return internal::pmul(a, pconj(b));
00388     #else
00389     const __m128d mask = _mm_castsi128_pd(_mm_set_epi32(0x80000000,0x0,0x0,0x0));
00390     return Packet1cd(_mm_add_pd(_mm_xor_pd(_mm_mul_pd(vec2d_swizzle1(a.v, 0, 0), b.v), mask),
00391                                 _mm_mul_pd(vec2d_swizzle1(a.v, 1, 1),
00392                                            vec2d_swizzle1(b.v, 1, 0))));
00393     #endif
00394   }
00395 };
00396 
00397 template<> struct conj_helper<Packet1cd, Packet1cd, true,false>
00398 {
00399   EIGEN_STRONG_INLINE Packet1cd pmadd(const Packet1cd& x, const Packet1cd& y, const Packet1cd& c) const
00400   { return padd(pmul(x,y),c); }
00401 
00402   EIGEN_STRONG_INLINE Packet1cd pmul(const Packet1cd& a, const Packet1cd& b) const
00403   {
00404     #ifdef EIGEN_VECTORIZE_SSE3
00405     return internal::pmul(pconj(a), b);
00406     #else
00407     const __m128d mask = _mm_castsi128_pd(_mm_set_epi32(0x80000000,0x0,0x0,0x0));
00408     return Packet1cd(_mm_add_pd(_mm_mul_pd(vec2d_swizzle1(a.v, 0, 0), b.v),
00409                                 _mm_xor_pd(_mm_mul_pd(vec2d_swizzle1(a.v, 1, 1),
00410                                                       vec2d_swizzle1(b.v, 1, 0)), mask)));
00411     #endif
00412   }
00413 };
00414 
00415 template<> struct conj_helper<Packet1cd, Packet1cd, true,true>
00416 {
00417   EIGEN_STRONG_INLINE Packet1cd pmadd(const Packet1cd& x, const Packet1cd& y, const Packet1cd& c) const
00418   { return padd(pmul(x,y),c); }
00419 
00420   EIGEN_STRONG_INLINE Packet1cd pmul(const Packet1cd& a, const Packet1cd& b) const
00421   {
00422     #ifdef EIGEN_VECTORIZE_SSE3
00423     return pconj(internal::pmul(a, b));
00424     #else
00425     const __m128d mask = _mm_castsi128_pd(_mm_set_epi32(0x80000000,0x0,0x0,0x0));
00426     return Packet1cd(_mm_sub_pd(_mm_xor_pd(_mm_mul_pd(vec2d_swizzle1(a.v, 0, 0), b.v), mask),
00427                                 _mm_mul_pd(vec2d_swizzle1(a.v, 1, 1),
00428                                            vec2d_swizzle1(b.v, 1, 0))));
00429     #endif
00430   }
00431 };
00432 
00433 template<> struct conj_helper<Packet2d, Packet1cd, false,false>
00434 {
00435   EIGEN_STRONG_INLINE Packet1cd pmadd(const Packet2d& x, const Packet1cd& y, const Packet1cd& c) const
00436   { return padd(c, pmul(x,y)); }
00437 
00438   EIGEN_STRONG_INLINE Packet1cd pmul(const Packet2d& x, const Packet1cd& y) const
00439   { return Packet1cd(Eigen::internal::pmul<Packet2d>(x, y.v)); }
00440 };
00441 
00442 template<> struct conj_helper<Packet1cd, Packet2d, false,false>
00443 {
00444   EIGEN_STRONG_INLINE Packet1cd pmadd(const Packet1cd& x, const Packet2d& y, const Packet1cd& c) const
00445   { return padd(c, pmul(x,y)); }
00446 
00447   EIGEN_STRONG_INLINE Packet1cd pmul(const Packet1cd& x, const Packet2d& y) const
00448   { return Packet1cd(Eigen::internal::pmul<Packet2d>(x.v, y)); }
00449 };
00450 
00451 template<> EIGEN_STRONG_INLINE Packet1cd pdiv<Packet1cd>(const Packet1cd& a, const Packet1cd& b)
00452 {
00453   // TODO optimize it for SSE3 and 4
00454   Packet1cd res = conj_helper<Packet1cd,Packet1cd,false,true>().pmul(a,b);
00455   __m128d s = _mm_mul_pd(b.v,b.v);
00456   return Packet1cd(_mm_div_pd(res.v, _mm_add_pd(s,_mm_shuffle_pd(s, s, 0x1))));
00457 }
00458 
00459 EIGEN_STRONG_INLINE Packet1cd pcplxflip/* <Packet1cd> */(const Packet1cd& x)
00460 {
00461   return Packet1cd(preverse(Packet2d(x.v)));
00462 }
00463 
00464 EIGEN_DEVICE_FUNC inline void
00465 ptranspose(PacketBlock<Packet2cf,2>& kernel) {
00466   __m128d w1 = _mm_castps_pd(kernel.packet[0].v);
00467   __m128d w2 = _mm_castps_pd(kernel.packet[1].v);
00468 
00469   __m128 tmp = _mm_castpd_ps(_mm_unpackhi_pd(w1, w2));
00470   kernel.packet[0].v = _mm_castpd_ps(_mm_unpacklo_pd(w1, w2));
00471   kernel.packet[1].v = tmp;
00472 }
00473 
00474 template<>  EIGEN_STRONG_INLINE Packet2cf pblend(const Selector<2>& ifPacket, const Packet2cf& thenPacket, const Packet2cf& elsePacket) {
00475   __m128d result = pblend<Packet2d>(ifPacket, _mm_castps_pd(thenPacket.v), _mm_castps_pd(elsePacket.v));
00476   return Packet2cf(_mm_castpd_ps(result));
00477 }
00478 
00479 template<> EIGEN_STRONG_INLINE Packet2cf pinsertfirst(const Packet2cf& a, std::complex<float> b)
00480 {
00481   return Packet2cf(_mm_loadl_pi(a.v, reinterpret_cast<const __m64*>(&b)));
00482 }
00483 
00484 template<> EIGEN_STRONG_INLINE Packet1cd pinsertfirst(const Packet1cd&, std::complex<double> b)
00485 {
00486   return pset1<Packet1cd>(b);
00487 }
00488 
00489 template<> EIGEN_STRONG_INLINE Packet2cf pinsertlast(const Packet2cf& a, std::complex<float> b)
00490 {
00491   return Packet2cf(_mm_loadh_pi(a.v, reinterpret_cast<const __m64*>(&b)));
00492 }
00493 
00494 template<> EIGEN_STRONG_INLINE Packet1cd pinsertlast(const Packet1cd&, std::complex<double> b)
00495 {
00496   return pset1<Packet1cd>(b);
00497 }
00498 
00499 } // end namespace internal
00500 
00501 } // end namespace Eigen
00502 
00503 #endif // EIGEN_COMPLEX_SSE_H
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