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00025 #ifndef EIGEN_COMPLEX_SSE_H
00026 #define EIGEN_COMPLEX_SSE_H
00027
00028 namespace internal {
00029
00030
00031 struct Packet2cf
00032 {
00033 EIGEN_STRONG_INLINE Packet2cf() {}
00034 EIGEN_STRONG_INLINE explicit Packet2cf(const __m128& a) : v(a) {}
00035 __m128 v;
00036 };
00037
00038 template<> struct packet_traits<std::complex<float> > : default_packet_traits
00039 {
00040 typedef Packet2cf type;
00041 enum {
00042 Vectorizable = 1,
00043 AlignedOnScalar = 1,
00044 size = 2,
00045
00046 HasAdd = 1,
00047 HasSub = 1,
00048 HasMul = 1,
00049 HasDiv = 1,
00050 HasNegate = 1,
00051 HasAbs = 0,
00052 HasAbs2 = 0,
00053 HasMin = 0,
00054 HasMax = 0,
00055 HasSetLinear = 0
00056 };
00057 };
00058
00059 template<> struct unpacket_traits<Packet2cf> { typedef std::complex<float> type; enum {size=2}; };
00060
00061 template<> EIGEN_STRONG_INLINE Packet2cf padd<Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(_mm_add_ps(a.v,b.v)); }
00062 template<> EIGEN_STRONG_INLINE Packet2cf psub<Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(_mm_sub_ps(a.v,b.v)); }
00063 template<> EIGEN_STRONG_INLINE Packet2cf pnegate(const Packet2cf& a)
00064 {
00065 const __m128 mask = _mm_castsi128_ps(_mm_setr_epi32(0x80000000,0x80000000,0x80000000,0x80000000));
00066 return Packet2cf(_mm_xor_ps(a.v,mask));
00067 }
00068 template<> EIGEN_STRONG_INLINE Packet2cf pconj(const Packet2cf& a)
00069 {
00070 const __m128 mask = _mm_castsi128_ps(_mm_setr_epi32(0x00000000,0x80000000,0x00000000,0x80000000));
00071 return Packet2cf(_mm_xor_ps(a.v,mask));
00072 }
00073
00074 template<> EIGEN_STRONG_INLINE Packet2cf pmul<Packet2cf>(const Packet2cf& a, const Packet2cf& b)
00075 {
00076
00077 #ifdef EIGEN_VECTORIZE_SSE3
00078 return Packet2cf(_mm_addsub_ps(_mm_mul_ps(_mm_moveldup_ps(a.v), b.v),
00079 _mm_mul_ps(_mm_movehdup_ps(a.v),
00080 vec4f_swizzle1(b.v, 1, 0, 3, 2))));
00081
00082
00083
00084 #else
00085 const __m128 mask = _mm_castsi128_ps(_mm_setr_epi32(0x80000000,0x00000000,0x80000000,0x00000000));
00086 return Packet2cf(_mm_add_ps(_mm_mul_ps(vec4f_swizzle1(a.v, 0, 0, 2, 2), b.v),
00087 _mm_xor_ps(_mm_mul_ps(vec4f_swizzle1(a.v, 1, 1, 3, 3),
00088 vec4f_swizzle1(b.v, 1, 0, 3, 2)), mask)));
00089 #endif
00090 }
00091
00092 template<> EIGEN_STRONG_INLINE Packet2cf pand <Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(_mm_and_ps(a.v,b.v)); }
00093 template<> EIGEN_STRONG_INLINE Packet2cf por <Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(_mm_or_ps(a.v,b.v)); }
00094 template<> EIGEN_STRONG_INLINE Packet2cf pxor <Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(_mm_xor_ps(a.v,b.v)); }
00095 template<> EIGEN_STRONG_INLINE Packet2cf pandnot<Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(_mm_andnot_ps(a.v,b.v)); }
00096
00097 template<> EIGEN_STRONG_INLINE Packet2cf pload <Packet2cf>(const std::complex<float>* from) { EIGEN_DEBUG_ALIGNED_LOAD return Packet2cf(pload<Packet4f>(&real_ref(*from))); }
00098 template<> EIGEN_STRONG_INLINE Packet2cf ploadu<Packet2cf>(const std::complex<float>* from) { EIGEN_DEBUG_UNALIGNED_LOAD return Packet2cf(ploadu<Packet4f>(&real_ref(*from))); }
00099
00100 template<> EIGEN_STRONG_INLINE void pstore <std::complex<float> >(std::complex<float> * to, const Packet2cf& from) { EIGEN_DEBUG_ALIGNED_STORE pstore(&real_ref(*to), from.v); }
00101 template<> EIGEN_STRONG_INLINE void pstoreu<std::complex<float> >(std::complex<float> * to, const Packet2cf& from) { EIGEN_DEBUG_UNALIGNED_STORE pstoreu(&real_ref(*to), from.v); }
00102
00103 template<> EIGEN_STRONG_INLINE void prefetch<std::complex<float> >(const std::complex<float> * addr) { _mm_prefetch((const char*)(addr), _MM_HINT_T0); }
00104
00105 template<> EIGEN_STRONG_INLINE Packet2cf pset1<Packet2cf>(const std::complex<float>& from)
00106 {
00107 Packet2cf res;
00108 res.v = _mm_loadl_pi(res.v, (const __m64*)&from);
00109 return Packet2cf(_mm_movelh_ps(res.v,res.v));
00110 }
00111
00112 template<> EIGEN_STRONG_INLINE std::complex<float> pfirst<Packet2cf>(const Packet2cf& a)
00113 {
00114 std::complex<float> res;
00115 _mm_storel_pi((__m64*)&res, a.v);
00116 return res;
00117 }
00118
00119 template<> EIGEN_STRONG_INLINE Packet2cf preverse(const Packet2cf& a) { return Packet2cf(_mm_castpd_ps(preverse(_mm_castps_pd(a.v)))); }
00120
00121 template<> EIGEN_STRONG_INLINE std::complex<float> predux<Packet2cf>(const Packet2cf& a)
00122 {
00123 return pfirst(Packet2cf(_mm_add_ps(a.v, _mm_movehl_ps(a.v,a.v))));
00124 }
00125
00126 template<> EIGEN_STRONG_INLINE Packet2cf preduxp<Packet2cf>(const Packet2cf* vecs)
00127 {
00128 return Packet2cf(_mm_add_ps(_mm_movelh_ps(vecs[0].v,vecs[1].v), _mm_movehl_ps(vecs[1].v,vecs[0].v)));
00129 }
00130
00131 template<> EIGEN_STRONG_INLINE std::complex<float> predux_mul<Packet2cf>(const Packet2cf& a)
00132 {
00133 return pfirst(pmul(a, Packet2cf(_mm_movehl_ps(a.v,a.v))));
00134 }
00135
00136 template<int Offset>
00137 struct palign_impl<Offset,Packet2cf>
00138 {
00139 EIGEN_STRONG_INLINE static void run(Packet2cf& first, const Packet2cf& second)
00140 {
00141 if (Offset==1)
00142 {
00143 first.v = _mm_movehl_ps(first.v, first.v);
00144 first.v = _mm_movelh_ps(first.v, second.v);
00145 }
00146 }
00147 };
00148
00149 template<> struct conj_helper<Packet2cf, Packet2cf, false,true>
00150 {
00151 EIGEN_STRONG_INLINE Packet2cf pmadd(const Packet2cf& x, const Packet2cf& y, const Packet2cf& c) const
00152 { return padd(pmul(x,y),c); }
00153
00154 EIGEN_STRONG_INLINE Packet2cf pmul(const Packet2cf& a, const Packet2cf& b) const
00155 {
00156 #ifdef EIGEN_VECTORIZE_SSE3
00157 return pmul(a, pconj(b));
00158 #else
00159 const __m128 mask = _mm_castsi128_ps(_mm_setr_epi32(0x00000000,0x80000000,0x00000000,0x80000000));
00160 return Packet2cf(_mm_add_ps(_mm_xor_ps(_mm_mul_ps(vec4f_swizzle1(a.v, 0, 0, 2, 2), b.v), mask),
00161 _mm_mul_ps(vec4f_swizzle1(a.v, 1, 1, 3, 3),
00162 vec4f_swizzle1(b.v, 1, 0, 3, 2))));
00163 #endif
00164 }
00165 };
00166
00167 template<> struct conj_helper<Packet2cf, Packet2cf, true,false>
00168 {
00169 EIGEN_STRONG_INLINE Packet2cf pmadd(const Packet2cf& x, const Packet2cf& y, const Packet2cf& c) const
00170 { return padd(pmul(x,y),c); }
00171
00172 EIGEN_STRONG_INLINE Packet2cf pmul(const Packet2cf& a, const Packet2cf& b) const
00173 {
00174 #ifdef EIGEN_VECTORIZE_SSE3
00175 return pmul(pconj(a), b);
00176 #else
00177 const __m128 mask = _mm_castsi128_ps(_mm_setr_epi32(0x00000000,0x80000000,0x00000000,0x80000000));
00178 return Packet2cf(_mm_add_ps(_mm_mul_ps(vec4f_swizzle1(a.v, 0, 0, 2, 2), b.v),
00179 _mm_xor_ps(_mm_mul_ps(vec4f_swizzle1(a.v, 1, 1, 3, 3),
00180 vec4f_swizzle1(b.v, 1, 0, 3, 2)), mask)));
00181 #endif
00182 }
00183 };
00184
00185 template<> struct conj_helper<Packet2cf, Packet2cf, true,true>
00186 {
00187 EIGEN_STRONG_INLINE Packet2cf pmadd(const Packet2cf& x, const Packet2cf& y, const Packet2cf& c) const
00188 { return padd(pmul(x,y),c); }
00189
00190 EIGEN_STRONG_INLINE Packet2cf pmul(const Packet2cf& a, const Packet2cf& b) const
00191 {
00192 #ifdef EIGEN_VECTORIZE_SSE3
00193 return pconj(pmul(a, b));
00194 #else
00195 const __m128 mask = _mm_castsi128_ps(_mm_setr_epi32(0x00000000,0x80000000,0x00000000,0x80000000));
00196 return Packet2cf(_mm_sub_ps(_mm_xor_ps(_mm_mul_ps(vec4f_swizzle1(a.v, 0, 0, 2, 2), b.v), mask),
00197 _mm_mul_ps(vec4f_swizzle1(a.v, 1, 1, 3, 3),
00198 vec4f_swizzle1(b.v, 1, 0, 3, 2))));
00199 #endif
00200 }
00201 };
00202
00203 template<> struct conj_helper<Packet4f, Packet2cf, false,false>
00204 {
00205 EIGEN_STRONG_INLINE Packet2cf pmadd(const Packet4f& x, const Packet2cf& y, const Packet2cf& c) const
00206 { return padd(c, pmul(x,y)); }
00207
00208 EIGEN_STRONG_INLINE Packet2cf pmul(const Packet4f& x, const Packet2cf& y) const
00209 { return Packet2cf(Eigen::internal::pmul(x, y.v)); }
00210 };
00211
00212 template<> struct conj_helper<Packet2cf, Packet4f, false,false>
00213 {
00214 EIGEN_STRONG_INLINE Packet2cf pmadd(const Packet2cf& x, const Packet4f& y, const Packet2cf& c) const
00215 { return padd(c, pmul(x,y)); }
00216
00217 EIGEN_STRONG_INLINE Packet2cf pmul(const Packet2cf& x, const Packet4f& y) const
00218 { return Packet2cf(Eigen::internal::pmul(x.v, y)); }
00219 };
00220
00221 template<> EIGEN_STRONG_INLINE Packet2cf pdiv<Packet2cf>(const Packet2cf& a, const Packet2cf& b)
00222 {
00223
00224 Packet2cf res = conj_helper<Packet2cf,Packet2cf,false,true>().pmul(a,b);
00225 __m128 s = _mm_mul_ps(b.v,b.v);
00226 return Packet2cf(_mm_div_ps(res.v,_mm_add_ps(s,_mm_castsi128_ps(_mm_shuffle_epi32(_mm_castps_si128(s), 0xb1)))));
00227 }
00228
00229 EIGEN_STRONG_INLINE Packet2cf pcplxflip(const Packet2cf& x)
00230 {
00231 return Packet2cf(vec4f_swizzle1(x.v, 1, 0, 3, 2));
00232 }
00233
00234
00235
00236 struct Packet1cd
00237 {
00238 EIGEN_STRONG_INLINE Packet1cd() {}
00239 EIGEN_STRONG_INLINE explicit Packet1cd(const __m128d& a) : v(a) {}
00240 __m128d v;
00241 };
00242
00243 template<> struct packet_traits<std::complex<double> > : default_packet_traits
00244 {
00245 typedef Packet1cd type;
00246 enum {
00247 Vectorizable = 1,
00248 AlignedOnScalar = 0,
00249 size = 1,
00250
00251 HasAdd = 1,
00252 HasSub = 1,
00253 HasMul = 1,
00254 HasDiv = 1,
00255 HasNegate = 1,
00256 HasAbs = 0,
00257 HasAbs2 = 0,
00258 HasMin = 0,
00259 HasMax = 0,
00260 HasSetLinear = 0
00261 };
00262 };
00263
00264 template<> struct unpacket_traits<Packet1cd> { typedef std::complex<double> type; enum {size=1}; };
00265
00266 template<> EIGEN_STRONG_INLINE Packet1cd padd<Packet1cd>(const Packet1cd& a, const Packet1cd& b) { return Packet1cd(_mm_add_pd(a.v,b.v)); }
00267 template<> EIGEN_STRONG_INLINE Packet1cd psub<Packet1cd>(const Packet1cd& a, const Packet1cd& b) { return Packet1cd(_mm_sub_pd(a.v,b.v)); }
00268 template<> EIGEN_STRONG_INLINE Packet1cd pnegate(const Packet1cd& a) { return Packet1cd(pnegate(a.v)); }
00269 template<> EIGEN_STRONG_INLINE Packet1cd pconj(const Packet1cd& a)
00270 {
00271 const __m128d mask = _mm_castsi128_pd(_mm_set_epi32(0x80000000,0x0,0x0,0x0));
00272 return Packet1cd(_mm_xor_pd(a.v,mask));
00273 }
00274
00275 template<> EIGEN_STRONG_INLINE Packet1cd pmul<Packet1cd>(const Packet1cd& a, const Packet1cd& b)
00276 {
00277
00278 #ifdef EIGEN_VECTORIZE_SSE3
00279 return Packet1cd(_mm_addsub_pd(_mm_mul_pd(vec2d_swizzle1(a.v, 0, 0), b.v),
00280 _mm_mul_pd(vec2d_swizzle1(a.v, 1, 1),
00281 vec2d_swizzle1(b.v, 1, 0))));
00282 #else
00283 const __m128d mask = _mm_castsi128_pd(_mm_set_epi32(0x0,0x0,0x80000000,0x0));
00284 return Packet1cd(_mm_add_pd(_mm_mul_pd(vec2d_swizzle1(a.v, 0, 0), b.v),
00285 _mm_xor_pd(_mm_mul_pd(vec2d_swizzle1(a.v, 1, 1),
00286 vec2d_swizzle1(b.v, 1, 0)), mask)));
00287 #endif
00288 }
00289
00290 template<> EIGEN_STRONG_INLINE Packet1cd pand <Packet1cd>(const Packet1cd& a, const Packet1cd& b) { return Packet1cd(_mm_and_pd(a.v,b.v)); }
00291 template<> EIGEN_STRONG_INLINE Packet1cd por <Packet1cd>(const Packet1cd& a, const Packet1cd& b) { return Packet1cd(_mm_or_pd(a.v,b.v)); }
00292 template<> EIGEN_STRONG_INLINE Packet1cd pxor <Packet1cd>(const Packet1cd& a, const Packet1cd& b) { return Packet1cd(_mm_xor_pd(a.v,b.v)); }
00293 template<> EIGEN_STRONG_INLINE Packet1cd pandnot<Packet1cd>(const Packet1cd& a, const Packet1cd& b) { return Packet1cd(_mm_andnot_pd(a.v,b.v)); }
00294
00295
00296 template<> EIGEN_STRONG_INLINE Packet1cd pload <Packet1cd>(const std::complex<double>* from)
00297 { EIGEN_DEBUG_ALIGNED_LOAD return Packet1cd(pload<Packet2d>((const double*)from)); }
00298 template<> EIGEN_STRONG_INLINE Packet1cd ploadu<Packet1cd>(const std::complex<double>* from)
00299 { EIGEN_DEBUG_UNALIGNED_LOAD return Packet1cd(ploadu<Packet2d>((const double*)from)); }
00300 template<> EIGEN_STRONG_INLINE Packet1cd pset1<Packet1cd>(const std::complex<double>& from)
00301 { return ploadu<Packet1cd>(&from); }
00302
00303
00304 template<> EIGEN_STRONG_INLINE void pstore <std::complex<double> >(std::complex<double> * to, const Packet1cd& from) { EIGEN_DEBUG_ALIGNED_STORE pstore((double*)to, from.v); }
00305 template<> EIGEN_STRONG_INLINE void pstoreu<std::complex<double> >(std::complex<double> * to, const Packet1cd& from) { EIGEN_DEBUG_UNALIGNED_STORE pstoreu((double*)to, from.v); }
00306
00307 template<> EIGEN_STRONG_INLINE void prefetch<std::complex<double> >(const std::complex<double> * addr) { _mm_prefetch((const char*)(addr), _MM_HINT_T0); }
00308
00309 template<> EIGEN_STRONG_INLINE std::complex<double> pfirst<Packet1cd>(const Packet1cd& a)
00310 {
00311 EIGEN_ALIGN16 double res[2];
00312 _mm_store_pd(res, a.v);
00313 return std::complex<double>(res[0],res[1]);
00314 }
00315
00316 template<> EIGEN_STRONG_INLINE Packet1cd preverse(const Packet1cd& a) { return a; }
00317
00318 template<> EIGEN_STRONG_INLINE std::complex<double> predux<Packet1cd>(const Packet1cd& a)
00319 {
00320 return pfirst(a);
00321 }
00322
00323 template<> EIGEN_STRONG_INLINE Packet1cd preduxp<Packet1cd>(const Packet1cd* vecs)
00324 {
00325 return vecs[0];
00326 }
00327
00328 template<> EIGEN_STRONG_INLINE std::complex<double> predux_mul<Packet1cd>(const Packet1cd& a)
00329 {
00330 return pfirst(a);
00331 }
00332
00333 template<int Offset>
00334 struct palign_impl<Offset,Packet1cd>
00335 {
00336 EIGEN_STRONG_INLINE static void run(Packet1cd& , const Packet1cd& )
00337 {
00338
00339
00340 }
00341 };
00342
00343 template<> struct conj_helper<Packet1cd, Packet1cd, false,true>
00344 {
00345 EIGEN_STRONG_INLINE Packet1cd pmadd(const Packet1cd& x, const Packet1cd& y, const Packet1cd& c) const
00346 { return padd(pmul(x,y),c); }
00347
00348 EIGEN_STRONG_INLINE Packet1cd pmul(const Packet1cd& a, const Packet1cd& b) const
00349 {
00350 #ifdef EIGEN_VECTORIZE_SSE3
00351 return internal::pmul(a, pconj(b));
00352 #else
00353 const __m128d mask = _mm_castsi128_pd(_mm_set_epi32(0x80000000,0x0,0x0,0x0));
00354 return Packet1cd(_mm_add_pd(_mm_xor_pd(_mm_mul_pd(vec2d_swizzle1(a.v, 0, 0), b.v), mask),
00355 _mm_mul_pd(vec2d_swizzle1(a.v, 1, 1),
00356 vec2d_swizzle1(b.v, 1, 0))));
00357 #endif
00358 }
00359 };
00360
00361 template<> struct conj_helper<Packet1cd, Packet1cd, true,false>
00362 {
00363 EIGEN_STRONG_INLINE Packet1cd pmadd(const Packet1cd& x, const Packet1cd& y, const Packet1cd& c) const
00364 { return padd(pmul(x,y),c); }
00365
00366 EIGEN_STRONG_INLINE Packet1cd pmul(const Packet1cd& a, const Packet1cd& b) const
00367 {
00368 #ifdef EIGEN_VECTORIZE_SSE3
00369 return internal::pmul(pconj(a), b);
00370 #else
00371 const __m128d mask = _mm_castsi128_pd(_mm_set_epi32(0x80000000,0x0,0x0,0x0));
00372 return Packet1cd(_mm_add_pd(_mm_mul_pd(vec2d_swizzle1(a.v, 0, 0), b.v),
00373 _mm_xor_pd(_mm_mul_pd(vec2d_swizzle1(a.v, 1, 1),
00374 vec2d_swizzle1(b.v, 1, 0)), mask)));
00375 #endif
00376 }
00377 };
00378
00379 template<> struct conj_helper<Packet1cd, Packet1cd, true,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 pconj(internal::pmul(a, b));
00388 #else
00389 const __m128d mask = _mm_castsi128_pd(_mm_set_epi32(0x80000000,0x0,0x0,0x0));
00390 return Packet1cd(_mm_sub_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<Packet2d, Packet1cd, false,false>
00398 {
00399 EIGEN_STRONG_INLINE Packet1cd pmadd(const Packet2d& x, const Packet1cd& y, const Packet1cd& c) const
00400 { return padd(c, pmul(x,y)); }
00401
00402 EIGEN_STRONG_INLINE Packet1cd pmul(const Packet2d& x, const Packet1cd& y) const
00403 { return Packet1cd(Eigen::internal::pmul(x, y.v)); }
00404 };
00405
00406 template<> struct conj_helper<Packet1cd, Packet2d, false,false>
00407 {
00408 EIGEN_STRONG_INLINE Packet1cd pmadd(const Packet1cd& x, const Packet2d& y, const Packet1cd& c) const
00409 { return padd(c, pmul(x,y)); }
00410
00411 EIGEN_STRONG_INLINE Packet1cd pmul(const Packet1cd& x, const Packet2d& y) const
00412 { return Packet1cd(Eigen::internal::pmul(x.v, y)); }
00413 };
00414
00415 template<> EIGEN_STRONG_INLINE Packet1cd pdiv<Packet1cd>(const Packet1cd& a, const Packet1cd& b)
00416 {
00417
00418 Packet1cd res = conj_helper<Packet1cd,Packet1cd,false,true>().pmul(a,b);
00419 __m128d s = _mm_mul_pd(b.v,b.v);
00420 return Packet1cd(_mm_div_pd(res.v, _mm_add_pd(s,_mm_shuffle_pd(s, s, 0x1))));
00421 }
00422
00423 EIGEN_STRONG_INLINE Packet1cd pcplxflip(const Packet1cd& x)
00424 {
00425 return Packet1cd(preverse(x.v));
00426 }
00427
00428 }
00429
00430 #endif // EIGEN_COMPLEX_SSE_H