Complex.h revision 7faaa9f3f0df9d23790277834d426c3d992ac3ba 
1// This file is part of Eigen, a lightweight C++ template library
2// for linear algebra.
3//
4// Copyright (C) 2010 Gael Guennebaud <gael.guennebaud@inria.fr>
5//
6// This Source Code Form is subject to the terms of the Mozilla
7// Public License v. 2.0. If a copy of the MPL was not distributed
8// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
9
10#ifndef EIGEN_COMPLEX_SSE_H
11#define EIGEN_COMPLEX_SSE_H
12
13namespace Eigen {
14
15namespace internal {
16
17//---------- float ----------
18struct Packet2cf
19{
20  EIGEN_STRONG_INLINE Packet2cf() {}
21  EIGEN_STRONG_INLINE explicit Packet2cf(const __m128& a) : v(a) {}
22  __m128  v;
23};
24
25template<> struct packet_traits<std::complex<float> >  : default_packet_traits
26{
27  typedef Packet2cf type;
28  enum {
29    Vectorizable = 1,
30    AlignedOnScalar = 1,
31    size = 2,
32
33    HasAdd    = 1,
34    HasSub    = 1,
35    HasMul    = 1,
36    HasDiv    = 1,
37    HasNegate = 1,
38    HasAbs    = 0,
39    HasAbs2   = 0,
40    HasMin    = 0,
41    HasMax    = 0,
42    HasSetLinear = 0
43  };
44};
45
46template<> struct unpacket_traits<Packet2cf> { typedef std::complex<float> type; enum {size=2}; };
47
48template<> EIGEN_STRONG_INLINE Packet2cf padd<Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(_mm_add_ps(a.v,b.v)); }
49template<> EIGEN_STRONG_INLINE Packet2cf psub<Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(_mm_sub_ps(a.v,b.v)); }
50template<> EIGEN_STRONG_INLINE Packet2cf pnegate(const Packet2cf& a)
51{
52  const __m128 mask = _mm_castsi128_ps(_mm_setr_epi32(0x80000000,0x80000000,0x80000000,0x80000000));
53  return Packet2cf(_mm_xor_ps(a.v,mask));
54}
55template<> EIGEN_STRONG_INLINE Packet2cf pconj(const Packet2cf& a)
56{
57  const __m128 mask = _mm_castsi128_ps(_mm_setr_epi32(0x00000000,0x80000000,0x00000000,0x80000000));
58  return Packet2cf(_mm_xor_ps(a.v,mask));
59}
60
61template<> EIGEN_STRONG_INLINE Packet2cf pmul<Packet2cf>(const Packet2cf& a, const Packet2cf& b)
62{
63  // TODO optimize it for SSE3 and 4
64  #ifdef EIGEN_VECTORIZE_SSE3
65  return Packet2cf(_mm_addsub_ps(_mm_mul_ps(_mm_moveldup_ps(a.v), b.v),
66                                 _mm_mul_ps(_mm_movehdup_ps(a.v),
67                                            vec4f_swizzle1(b.v, 1, 0, 3, 2))));
68//   return Packet2cf(_mm_addsub_ps(_mm_mul_ps(vec4f_swizzle1(a.v, 0, 0, 2, 2), b.v),
69//                                  _mm_mul_ps(vec4f_swizzle1(a.v, 1, 1, 3, 3),
70//                                             vec4f_swizzle1(b.v, 1, 0, 3, 2))));
71  #else
72  const __m128 mask = _mm_castsi128_ps(_mm_setr_epi32(0x80000000,0x00000000,0x80000000,0x00000000));
73  return Packet2cf(_mm_add_ps(_mm_mul_ps(vec4f_swizzle1(a.v, 0, 0, 2, 2), b.v),
74                              _mm_xor_ps(_mm_mul_ps(vec4f_swizzle1(a.v, 1, 1, 3, 3),
75                                                    vec4f_swizzle1(b.v, 1, 0, 3, 2)), mask)));
76  #endif
77}
78
79template<> EIGEN_STRONG_INLINE Packet2cf pand   <Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(_mm_and_ps(a.v,b.v)); }
80template<> EIGEN_STRONG_INLINE Packet2cf por    <Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(_mm_or_ps(a.v,b.v)); }
81template<> EIGEN_STRONG_INLINE Packet2cf pxor   <Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(_mm_xor_ps(a.v,b.v)); }
82template<> EIGEN_STRONG_INLINE Packet2cf pandnot<Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(_mm_andnot_ps(a.v,b.v)); }
83
84template<> EIGEN_STRONG_INLINE Packet2cf pload <Packet2cf>(const std::complex<float>* from) { EIGEN_DEBUG_ALIGNED_LOAD return Packet2cf(pload<Packet4f>(&numext::real_ref(*from))); }
85template<> EIGEN_STRONG_INLINE Packet2cf ploadu<Packet2cf>(const std::complex<float>* from) { EIGEN_DEBUG_UNALIGNED_LOAD return Packet2cf(ploadu<Packet4f>(&numext::real_ref(*from))); }
86
87template<> EIGEN_STRONG_INLINE Packet2cf pset1<Packet2cf>(const std::complex<float>&  from)
88{
89  Packet2cf res;
90#if EIGEN_GNUC_AT_MOST(4,2)
91  // Workaround annoying "may be used uninitialized in this function" warning with gcc 4.2
92  res.v = _mm_loadl_pi(_mm_set1_ps(0.0f), reinterpret_cast<const __m64*>(&from));
93#elif EIGEN_GNUC_AT_LEAST(4,6)
94  // Suppress annoying "may be used uninitialized in this function" warning with gcc >= 4.6
95  #pragma GCC diagnostic push
96  #pragma GCC diagnostic ignored "-Wuninitialized"
97  res.v = _mm_loadl_pi(res.v, (const __m64*)&from);
98  #pragma GCC diagnostic pop
99#else
100  res.v = _mm_loadl_pi(res.v, (const __m64*)&from);
101#endif
102  return Packet2cf(_mm_movelh_ps(res.v,res.v));
103}
104
105template<> EIGEN_STRONG_INLINE Packet2cf ploaddup<Packet2cf>(const std::complex<float>* from) { return pset1<Packet2cf>(*from); }
106
107template<> EIGEN_STRONG_INLINE void pstore <std::complex<float> >(std::complex<float> *   to, const Packet2cf& from) { EIGEN_DEBUG_ALIGNED_STORE pstore(&numext::real_ref(*to), from.v); }
108template<> EIGEN_STRONG_INLINE void pstoreu<std::complex<float> >(std::complex<float> *   to, const Packet2cf& from) { EIGEN_DEBUG_UNALIGNED_STORE pstoreu(&numext::real_ref(*to), from.v); }
109
110template<> EIGEN_STRONG_INLINE void prefetch<std::complex<float> >(const std::complex<float> *   addr) { _mm_prefetch((const char*)(addr), _MM_HINT_T0); }
111
112template<> EIGEN_STRONG_INLINE std::complex<float>  pfirst<Packet2cf>(const Packet2cf& a)
113{
114  #if EIGEN_GNUC_AT_MOST(4,3)
115  // Workaround gcc 4.2 ICE - this is not performance wise ideal, but who cares...
116  // This workaround also fix invalid code generation with gcc 4.3
117  EIGEN_ALIGN16 std::complex<float> res[2];
118  _mm_store_ps((float*)res, a.v);
119  return res[0];
120  #else
121  std::complex<float> res;
122  _mm_storel_pi((__m64*)&res, a.v);
123  return res;
124  #endif
125}
126
127template<> EIGEN_STRONG_INLINE Packet2cf preverse(const Packet2cf& a) { return Packet2cf(_mm_castpd_ps(preverse(_mm_castps_pd(a.v)))); }
128
129template<> EIGEN_STRONG_INLINE std::complex<float> predux<Packet2cf>(const Packet2cf& a)
130{
131  return pfirst(Packet2cf(_mm_add_ps(a.v, _mm_movehl_ps(a.v,a.v))));
132}
133
134template<> EIGEN_STRONG_INLINE Packet2cf preduxp<Packet2cf>(const Packet2cf* vecs)
135{
136  return Packet2cf(_mm_add_ps(_mm_movelh_ps(vecs[0].v,vecs[1].v), _mm_movehl_ps(vecs[1].v,vecs[0].v)));
137}
138
139template<> EIGEN_STRONG_INLINE std::complex<float> predux_mul<Packet2cf>(const Packet2cf& a)
140{
141  return pfirst(pmul(a, Packet2cf(_mm_movehl_ps(a.v,a.v))));
142}
143
144template<int Offset>
145struct palign_impl<Offset,Packet2cf>
146{
147  static EIGEN_STRONG_INLINE void run(Packet2cf& first, const Packet2cf& second)
148  {
149    if (Offset==1)
150    {
151      first.v = _mm_movehl_ps(first.v, first.v);
152      first.v = _mm_movelh_ps(first.v, second.v);
153    }
154  }
155};
156
157template<> struct conj_helper<Packet2cf, Packet2cf, false,true>
158{
159  EIGEN_STRONG_INLINE Packet2cf pmadd(const Packet2cf& x, const Packet2cf& y, const Packet2cf& c) const
160  { return padd(pmul(x,y),c); }
161
162  EIGEN_STRONG_INLINE Packet2cf pmul(const Packet2cf& a, const Packet2cf& b) const
163  {
164    #ifdef EIGEN_VECTORIZE_SSE3
165    return internal::pmul(a, pconj(b));
166    #else
167    const __m128 mask = _mm_castsi128_ps(_mm_setr_epi32(0x00000000,0x80000000,0x00000000,0x80000000));
168    return Packet2cf(_mm_add_ps(_mm_xor_ps(_mm_mul_ps(vec4f_swizzle1(a.v, 0, 0, 2, 2), b.v), mask),
169                                _mm_mul_ps(vec4f_swizzle1(a.v, 1, 1, 3, 3),
170                                           vec4f_swizzle1(b.v, 1, 0, 3, 2))));
171    #endif
172  }
173};
174
175template<> struct conj_helper<Packet2cf, Packet2cf, true,false>
176{
177  EIGEN_STRONG_INLINE Packet2cf pmadd(const Packet2cf& x, const Packet2cf& y, const Packet2cf& c) const
178  { return padd(pmul(x,y),c); }
179
180  EIGEN_STRONG_INLINE Packet2cf pmul(const Packet2cf& a, const Packet2cf& b) const
181  {
182    #ifdef EIGEN_VECTORIZE_SSE3
183    return internal::pmul(pconj(a), b);
184    #else
185    const __m128 mask = _mm_castsi128_ps(_mm_setr_epi32(0x00000000,0x80000000,0x00000000,0x80000000));
186    return Packet2cf(_mm_add_ps(_mm_mul_ps(vec4f_swizzle1(a.v, 0, 0, 2, 2), b.v),
187                                _mm_xor_ps(_mm_mul_ps(vec4f_swizzle1(a.v, 1, 1, 3, 3),
188                                                      vec4f_swizzle1(b.v, 1, 0, 3, 2)), mask)));
189    #endif
190  }
191};
192
193template<> struct conj_helper<Packet2cf, Packet2cf, true,true>
194{
195  EIGEN_STRONG_INLINE Packet2cf pmadd(const Packet2cf& x, const Packet2cf& y, const Packet2cf& c) const
196  { return padd(pmul(x,y),c); }
197
198  EIGEN_STRONG_INLINE Packet2cf pmul(const Packet2cf& a, const Packet2cf& b) const
199  {
200    #ifdef EIGEN_VECTORIZE_SSE3
201    return pconj(internal::pmul(a, b));
202    #else
203    const __m128 mask = _mm_castsi128_ps(_mm_setr_epi32(0x00000000,0x80000000,0x00000000,0x80000000));
204    return Packet2cf(_mm_sub_ps(_mm_xor_ps(_mm_mul_ps(vec4f_swizzle1(a.v, 0, 0, 2, 2), b.v), mask),
205                                _mm_mul_ps(vec4f_swizzle1(a.v, 1, 1, 3, 3),
206                                           vec4f_swizzle1(b.v, 1, 0, 3, 2))));
207    #endif
208  }
209};
210
211template<> struct conj_helper<Packet4f, Packet2cf, false,false>
212{
213  EIGEN_STRONG_INLINE Packet2cf pmadd(const Packet4f& x, const Packet2cf& y, const Packet2cf& c) const
214  { return padd(c, pmul(x,y)); }
215
216  EIGEN_STRONG_INLINE Packet2cf pmul(const Packet4f& x, const Packet2cf& y) const
217  { return Packet2cf(Eigen::internal::pmul(x, y.v)); }
218};
219
220template<> struct conj_helper<Packet2cf, Packet4f, false,false>
221{
222  EIGEN_STRONG_INLINE Packet2cf pmadd(const Packet2cf& x, const Packet4f& y, const Packet2cf& c) const
223  { return padd(c, pmul(x,y)); }
224
225  EIGEN_STRONG_INLINE Packet2cf pmul(const Packet2cf& x, const Packet4f& y) const
226  { return Packet2cf(Eigen::internal::pmul(x.v, y)); }
227};
228
229template<> EIGEN_STRONG_INLINE Packet2cf pdiv<Packet2cf>(const Packet2cf& a, const Packet2cf& b)
230{
231  // TODO optimize it for SSE3 and 4
232  Packet2cf res = conj_helper<Packet2cf,Packet2cf,false,true>().pmul(a,b);
233  __m128 s = _mm_mul_ps(b.v,b.v);
234  return Packet2cf(_mm_div_ps(res.v,_mm_add_ps(s,_mm_castsi128_ps(_mm_shuffle_epi32(_mm_castps_si128(s), 0xb1)))));
235}
236
237EIGEN_STRONG_INLINE Packet2cf pcplxflip/*<Packet2cf>*/(const Packet2cf& x)
238{
239  return Packet2cf(vec4f_swizzle1(x.v, 1, 0, 3, 2));
240}
241
242
243//---------- double ----------
244struct Packet1cd
245{
246  EIGEN_STRONG_INLINE Packet1cd() {}
247  EIGEN_STRONG_INLINE explicit Packet1cd(const __m128d& a) : v(a) {}
248  __m128d  v;
249};
250
251template<> struct packet_traits<std::complex<double> >  : default_packet_traits
252{
253  typedef Packet1cd type;
254  enum {
255    Vectorizable = 1,
256    AlignedOnScalar = 0,
257    size = 1,
258
259    HasAdd    = 1,
260    HasSub    = 1,
261    HasMul    = 1,
262    HasDiv    = 1,
263    HasNegate = 1,
264    HasAbs    = 0,
265    HasAbs2   = 0,
266    HasMin    = 0,
267    HasMax    = 0,
268    HasSetLinear = 0
269  };
270};
271
272template<> struct unpacket_traits<Packet1cd> { typedef std::complex<double> type; enum {size=1}; };
273
274template<> EIGEN_STRONG_INLINE Packet1cd padd<Packet1cd>(const Packet1cd& a, const Packet1cd& b) { return Packet1cd(_mm_add_pd(a.v,b.v)); }
275template<> EIGEN_STRONG_INLINE Packet1cd psub<Packet1cd>(const Packet1cd& a, const Packet1cd& b) { return Packet1cd(_mm_sub_pd(a.v,b.v)); }
276template<> EIGEN_STRONG_INLINE Packet1cd pnegate(const Packet1cd& a) { return Packet1cd(pnegate(a.v)); }
277template<> EIGEN_STRONG_INLINE Packet1cd pconj(const Packet1cd& a)
278{
279  const __m128d mask = _mm_castsi128_pd(_mm_set_epi32(0x80000000,0x0,0x0,0x0));
280  return Packet1cd(_mm_xor_pd(a.v,mask));
281}
282
283template<> EIGEN_STRONG_INLINE Packet1cd pmul<Packet1cd>(const Packet1cd& a, const Packet1cd& b)
284{
285  // TODO optimize it for SSE3 and 4
286  #ifdef EIGEN_VECTORIZE_SSE3
287  return Packet1cd(_mm_addsub_pd(_mm_mul_pd(vec2d_swizzle1(a.v, 0, 0), b.v),
288                                 _mm_mul_pd(vec2d_swizzle1(a.v, 1, 1),
289                                            vec2d_swizzle1(b.v, 1, 0))));
290  #else
291  const __m128d mask = _mm_castsi128_pd(_mm_set_epi32(0x0,0x0,0x80000000,0x0));
292  return Packet1cd(_mm_add_pd(_mm_mul_pd(vec2d_swizzle1(a.v, 0, 0), b.v),
293                              _mm_xor_pd(_mm_mul_pd(vec2d_swizzle1(a.v, 1, 1),
294                                                    vec2d_swizzle1(b.v, 1, 0)), mask)));
295  #endif
296}
297
298template<> EIGEN_STRONG_INLINE Packet1cd pand   <Packet1cd>(const Packet1cd& a, const Packet1cd& b) { return Packet1cd(_mm_and_pd(a.v,b.v)); }
299template<> EIGEN_STRONG_INLINE Packet1cd por    <Packet1cd>(const Packet1cd& a, const Packet1cd& b) { return Packet1cd(_mm_or_pd(a.v,b.v)); }
300template<> EIGEN_STRONG_INLINE Packet1cd pxor   <Packet1cd>(const Packet1cd& a, const Packet1cd& b) { return Packet1cd(_mm_xor_pd(a.v,b.v)); }
301template<> EIGEN_STRONG_INLINE Packet1cd pandnot<Packet1cd>(const Packet1cd& a, const Packet1cd& b) { return Packet1cd(_mm_andnot_pd(a.v,b.v)); }
302
303// FIXME force unaligned load, this is a temporary fix
304template<> EIGEN_STRONG_INLINE Packet1cd pload <Packet1cd>(const std::complex<double>* from)
305{ EIGEN_DEBUG_ALIGNED_LOAD return Packet1cd(pload<Packet2d>((const double*)from)); }
306template<> EIGEN_STRONG_INLINE Packet1cd ploadu<Packet1cd>(const std::complex<double>* from)
307{ EIGEN_DEBUG_UNALIGNED_LOAD return Packet1cd(ploadu<Packet2d>((const double*)from)); }
308template<> EIGEN_STRONG_INLINE Packet1cd pset1<Packet1cd>(const std::complex<double>&  from)
309{ /* here we really have to use unaligned loads :( */ return ploadu<Packet1cd>(&from); }
310
311template<> EIGEN_STRONG_INLINE Packet1cd ploaddup<Packet1cd>(const std::complex<double>* from) { return pset1<Packet1cd>(*from); }
312
313// FIXME force unaligned store, this is a temporary fix
314template<> EIGEN_STRONG_INLINE void pstore <std::complex<double> >(std::complex<double> *   to, const Packet1cd& from) { EIGEN_DEBUG_ALIGNED_STORE pstore((double*)to, from.v); }
315template<> EIGEN_STRONG_INLINE void pstoreu<std::complex<double> >(std::complex<double> *   to, const Packet1cd& from) { EIGEN_DEBUG_UNALIGNED_STORE pstoreu((double*)to, from.v); }
316
317template<> EIGEN_STRONG_INLINE void prefetch<std::complex<double> >(const std::complex<double> *   addr) { _mm_prefetch((const char*)(addr), _MM_HINT_T0); }
318
319template<> EIGEN_STRONG_INLINE std::complex<double>  pfirst<Packet1cd>(const Packet1cd& a)
320{
321  EIGEN_ALIGN16 double res[2];
322  _mm_store_pd(res, a.v);
323  return std::complex<double>(res[0],res[1]);
324}
325
326template<> EIGEN_STRONG_INLINE Packet1cd preverse(const Packet1cd& a) { return a; }
327
328template<> EIGEN_STRONG_INLINE std::complex<double> predux<Packet1cd>(const Packet1cd& a)
329{
330  return pfirst(a);
331}
332
333template<> EIGEN_STRONG_INLINE Packet1cd preduxp<Packet1cd>(const Packet1cd* vecs)
334{
335  return vecs[0];
336}
337
338template<> EIGEN_STRONG_INLINE std::complex<double> predux_mul<Packet1cd>(const Packet1cd& a)
339{
340  return pfirst(a);
341}
342
343template<int Offset>
344struct palign_impl<Offset,Packet1cd>
345{
346  static EIGEN_STRONG_INLINE void run(Packet1cd& /*first*/, const Packet1cd& /*second*/)
347  {
348    // FIXME is it sure we never have to align a Packet1cd?
349    // Even though a std::complex<double> has 16 bytes, it is not necessarily aligned on a 16 bytes boundary...
350  }
351};
352
353template<> struct conj_helper<Packet1cd, Packet1cd, false,true>
354{
355  EIGEN_STRONG_INLINE Packet1cd pmadd(const Packet1cd& x, const Packet1cd& y, const Packet1cd& c) const
356  { return padd(pmul(x,y),c); }
357
358  EIGEN_STRONG_INLINE Packet1cd pmul(const Packet1cd& a, const Packet1cd& b) const
359  {
360    #ifdef EIGEN_VECTORIZE_SSE3
361    return internal::pmul(a, pconj(b));
362    #else
363    const __m128d mask = _mm_castsi128_pd(_mm_set_epi32(0x80000000,0x0,0x0,0x0));
364    return Packet1cd(_mm_add_pd(_mm_xor_pd(_mm_mul_pd(vec2d_swizzle1(a.v, 0, 0), b.v), mask),
365                                _mm_mul_pd(vec2d_swizzle1(a.v, 1, 1),
366                                           vec2d_swizzle1(b.v, 1, 0))));
367    #endif
368  }
369};
370
371template<> struct conj_helper<Packet1cd, Packet1cd, true,false>
372{
373  EIGEN_STRONG_INLINE Packet1cd pmadd(const Packet1cd& x, const Packet1cd& y, const Packet1cd& c) const
374  { return padd(pmul(x,y),c); }
375
376  EIGEN_STRONG_INLINE Packet1cd pmul(const Packet1cd& a, const Packet1cd& b) const
377  {
378    #ifdef EIGEN_VECTORIZE_SSE3
379    return internal::pmul(pconj(a), b);
380    #else
381    const __m128d mask = _mm_castsi128_pd(_mm_set_epi32(0x80000000,0x0,0x0,0x0));
382    return Packet1cd(_mm_add_pd(_mm_mul_pd(vec2d_swizzle1(a.v, 0, 0), b.v),
383                                _mm_xor_pd(_mm_mul_pd(vec2d_swizzle1(a.v, 1, 1),
384                                                      vec2d_swizzle1(b.v, 1, 0)), mask)));
385    #endif
386  }
387};
388
389template<> struct conj_helper<Packet1cd, Packet1cd, true,true>
390{
391  EIGEN_STRONG_INLINE Packet1cd pmadd(const Packet1cd& x, const Packet1cd& y, const Packet1cd& c) const
392  { return padd(pmul(x,y),c); }
393
394  EIGEN_STRONG_INLINE Packet1cd pmul(const Packet1cd& a, const Packet1cd& b) const
395  {
396    #ifdef EIGEN_VECTORIZE_SSE3
397    return pconj(internal::pmul(a, b));
398    #else
399    const __m128d mask = _mm_castsi128_pd(_mm_set_epi32(0x80000000,0x0,0x0,0x0));
400    return Packet1cd(_mm_sub_pd(_mm_xor_pd(_mm_mul_pd(vec2d_swizzle1(a.v, 0, 0), b.v), mask),
401                                _mm_mul_pd(vec2d_swizzle1(a.v, 1, 1),
402                                           vec2d_swizzle1(b.v, 1, 0))));
403    #endif
404  }
405};
406
407template<> struct conj_helper<Packet2d, Packet1cd, false,false>
408{
409  EIGEN_STRONG_INLINE Packet1cd pmadd(const Packet2d& x, const Packet1cd& y, const Packet1cd& c) const
410  { return padd(c, pmul(x,y)); }
411
412  EIGEN_STRONG_INLINE Packet1cd pmul(const Packet2d& x, const Packet1cd& y) const
413  { return Packet1cd(Eigen::internal::pmul(x, y.v)); }
414};
415
416template<> struct conj_helper<Packet1cd, Packet2d, false,false>
417{
418  EIGEN_STRONG_INLINE Packet1cd pmadd(const Packet1cd& x, const Packet2d& y, const Packet1cd& c) const
419  { return padd(c, pmul(x,y)); }
420
421  EIGEN_STRONG_INLINE Packet1cd pmul(const Packet1cd& x, const Packet2d& y) const
422  { return Packet1cd(Eigen::internal::pmul(x.v, y)); }
423};
424
425template<> EIGEN_STRONG_INLINE Packet1cd pdiv<Packet1cd>(const Packet1cd& a, const Packet1cd& b)
426{
427  // TODO optimize it for SSE3 and 4
428  Packet1cd res = conj_helper<Packet1cd,Packet1cd,false,true>().pmul(a,b);
429  __m128d s = _mm_mul_pd(b.v,b.v);
430  return Packet1cd(_mm_div_pd(res.v, _mm_add_pd(s,_mm_shuffle_pd(s, s, 0x1))));
431}
432
433EIGEN_STRONG_INLINE Packet1cd pcplxflip/*<Packet1cd>*/(const Packet1cd& x)
434{
435  return Packet1cd(preverse(x.v));
436}
437
438} // end namespace internal
439
440} // end namespace Eigen
441
442#endif // EIGEN_COMPLEX_SSE_H
443