SSE/Complex.h
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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 
13 namespace Eigen {
14 
15 namespace internal {
16 
17 //---------- float ----------
18 struct Packet2cf
19 {
21  EIGEN_STRONG_INLINE explicit Packet2cf(const __m128& a) : v(a) {}
22  __m128 v;
23 };
24 
25 template<> 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 
46 template<> struct unpacket_traits<Packet2cf> { typedef std::complex<float> type; enum {size=2}; };
47 
48 template<> EIGEN_STRONG_INLINE Packet2cf padd<Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(_mm_add_ps(a.v,b.v)); }
49 template<> EIGEN_STRONG_INLINE Packet2cf psub<Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(_mm_sub_ps(a.v,b.v)); }
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 }
55 template<> 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 
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 
79 template<> EIGEN_STRONG_INLINE Packet2cf pand <Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(_mm_and_ps(a.v,b.v)); }
80 template<> EIGEN_STRONG_INLINE Packet2cf por <Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(_mm_or_ps(a.v,b.v)); }
81 template<> EIGEN_STRONG_INLINE Packet2cf pxor <Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(_mm_xor_ps(a.v,b.v)); }
82 template<> EIGEN_STRONG_INLINE Packet2cf pandnot<Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(_mm_andnot_ps(a.v,b.v)); }
83 
84 template<> EIGEN_STRONG_INLINE Packet2cf pload <Packet2cf>(const std::complex<float>* from) { EIGEN_DEBUG_ALIGNED_LOAD return Packet2cf(pload<Packet4f>(&numext::real_ref(*from))); }
85 template<> EIGEN_STRONG_INLINE Packet2cf ploadu<Packet2cf>(const std::complex<float>* from) { EIGEN_DEBUG_UNALIGNED_LOAD return Packet2cf(ploadu<Packet4f>(&numext::real_ref(*from))); }
86 
87 template<> 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 
105 template<> EIGEN_STRONG_INLINE Packet2cf ploaddup<Packet2cf>(const std::complex<float>* from) { return pset1<Packet2cf>(*from); }
106 
107 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), from.v); }
108 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), from.v); }
109 
110 template<> EIGEN_STRONG_INLINE void prefetch<std::complex<float> >(const std::complex<float> * addr) { _mm_prefetch((const char*)(addr), _MM_HINT_T0); }
111 
112 template<> 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 
127 template<> EIGEN_STRONG_INLINE Packet2cf preverse(const Packet2cf& a) { return Packet2cf(_mm_castpd_ps(preverse(_mm_castps_pd(a.v)))); }
128 
129 template<> 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 
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 
139 template<> 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 
144 template<int Offset>
145 struct 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 
157 template<> 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 
175 template<> 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 
193 template<> 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 
211 template<> 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 
220 template<> 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 
229 template<> 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 
237 EIGEN_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 ----------
244 struct Packet1cd
245 {
247  EIGEN_STRONG_INLINE explicit Packet1cd(const __m128d& a) : v(a) {}
248  __m128d v;
249 };
250 
251 template<> 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 
272 template<> struct unpacket_traits<Packet1cd> { typedef std::complex<double> type; enum {size=1}; };
273 
274 template<> EIGEN_STRONG_INLINE Packet1cd padd<Packet1cd>(const Packet1cd& a, const Packet1cd& b) { return Packet1cd(_mm_add_pd(a.v,b.v)); }
275 template<> EIGEN_STRONG_INLINE Packet1cd psub<Packet1cd>(const Packet1cd& a, const Packet1cd& b) { return Packet1cd(_mm_sub_pd(a.v,b.v)); }
276 template<> EIGEN_STRONG_INLINE Packet1cd pnegate(const Packet1cd& a) { return Packet1cd(pnegate(a.v)); }
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 
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 
298 template<> EIGEN_STRONG_INLINE Packet1cd pand <Packet1cd>(const Packet1cd& a, const Packet1cd& b) { return Packet1cd(_mm_and_pd(a.v,b.v)); }
299 template<> EIGEN_STRONG_INLINE Packet1cd por <Packet1cd>(const Packet1cd& a, const Packet1cd& b) { return Packet1cd(_mm_or_pd(a.v,b.v)); }
300 template<> EIGEN_STRONG_INLINE Packet1cd pxor <Packet1cd>(const Packet1cd& a, const Packet1cd& b) { return Packet1cd(_mm_xor_pd(a.v,b.v)); }
301 template<> 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
304 template<> EIGEN_STRONG_INLINE Packet1cd pload <Packet1cd>(const std::complex<double>* from)
305 { EIGEN_DEBUG_ALIGNED_LOAD return Packet1cd(pload<Packet2d>((const double*)from)); }
306 template<> EIGEN_STRONG_INLINE Packet1cd ploadu<Packet1cd>(const std::complex<double>* from)
307 { EIGEN_DEBUG_UNALIGNED_LOAD return Packet1cd(ploadu<Packet2d>((const double*)from)); }
308 template<> 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 
311 template<> 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
314 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); }
315 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); }
316 
317 template<> EIGEN_STRONG_INLINE void prefetch<std::complex<double> >(const std::complex<double> * addr) { _mm_prefetch((const char*)(addr), _MM_HINT_T0); }
318 
319 template<> 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 
326 template<> EIGEN_STRONG_INLINE Packet1cd preverse(const Packet1cd& a) { return a; }
327 
328 template<> EIGEN_STRONG_INLINE std::complex<double> predux<Packet1cd>(const Packet1cd& a)
329 {
330  return pfirst(a);
331 }
332 
334 {
335  return vecs[0];
336 }
337 
338 template<> EIGEN_STRONG_INLINE std::complex<double> predux_mul<Packet1cd>(const Packet1cd& a)
339 {
340  return pfirst(a);
341 }
342 
343 template<int Offset>
344 struct 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 
353 template<> struct conj_helper<Packet1cd, Packet1cd, false,true>
354 {
356  { return padd(pmul(x,y),c); }
357 
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 
371 template<> struct conj_helper<Packet1cd, Packet1cd, true,false>
372 {
374  { return padd(pmul(x,y),c); }
375 
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 
389 template<> struct conj_helper<Packet1cd, Packet1cd, true,true>
390 {
392  { return padd(pmul(x,y),c); }
393 
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 
407 template<> 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 
413  { return Packet1cd(Eigen::internal::pmul(x, y.v)); }
414 };
415 
416 template<> 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 
422  { return Packet1cd(Eigen::internal::pmul(x.v, y)); }
423 };
424 
426 {
427  // TODO optimize it for SSE3 and 4
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 
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
EIGEN_STRONG_INLINE Packet2cf pmul(const Packet2cf &a, const Packet2cf &b) const
Definition: SSE/Complex.h:198
EIGEN_STRONG_INLINE Packet2cf pmadd(const Packet4f &x, const Packet2cf &y, const Packet2cf &c) const
Definition: SSE/Complex.h:213
static EIGEN_STRONG_INLINE void run(Packet1cd &, const Packet1cd &)
Definition: SSE/Complex.h:346
EIGEN_STRONG_INLINE Packet1cd ploaddup< Packet1cd >(const std::complex< double > *from)
Definition: SSE/Complex.h:311
EIGEN_STRONG_INLINE Packet1cd pmul(const Packet1cd &a, const Packet1cd &b) const
Definition: SSE/Complex.h:358
#define EIGEN_ALIGN16
__vector float Packet4f
EIGEN_STRONG_INLINE Packet2cf(const __m128 &a)
Definition: SSE/Complex.h:21
#define EIGEN_STRONG_INLINE
EIGEN_STRONG_INLINE Packet2cf por< Packet2cf >(const Packet2cf &a, const Packet2cf &b)
EIGEN_STRONG_INLINE Packet2cf preduxp< Packet2cf >(const Packet2cf *vecs)
EIGEN_STRONG_INLINE Packet1cd padd< Packet1cd >(const Packet1cd &a, const Packet1cd &b)
Definition: SSE/Complex.h:274
EIGEN_STRONG_INLINE Packet1cd preduxp< Packet1cd >(const Packet1cd *vecs)
Definition: SSE/Complex.h:333
#define EIGEN_DEBUG_UNALIGNED_LOAD
EIGEN_STRONG_INLINE Packet2cf pmul< Packet2cf >(const Packet2cf &a, const Packet2cf &b)
EIGEN_STRONG_INLINE Packet1cd pmul(const Packet2d &x, const Packet1cd &y) const
Definition: SSE/Complex.h:412
EIGEN_STRONG_INLINE std::complex< double > predux< Packet1cd >(const Packet1cd &a)
Definition: SSE/Complex.h:328
EIGEN_STRONG_INLINE std::complex< double > pfirst< Packet1cd >(const Packet1cd &a)
Definition: SSE/Complex.h:319
EIGEN_STRONG_INLINE Packet1cd pand< Packet1cd >(const Packet1cd &a, const Packet1cd &b)
Definition: SSE/Complex.h:298
EIGEN_STRONG_INLINE Packet2cf ploadu< Packet2cf >(const std::complex< float > *from)
#define EIGEN_DEBUG_ALIGNED_STORE
iterative scaling algorithm to equilibrate rows and column norms in matrices
Definition: matrix.hpp:471
EIGEN_STRONG_INLINE Packet2cf pmadd(const Packet2cf &x, const Packet2cf &y, const Packet2cf &c) const
Definition: SSE/Complex.h:159
EIGEN_STRONG_INLINE Packet2cf pmadd(const Packet2cf &x, const Packet2cf &y, const Packet2cf &c) const
Definition: SSE/Complex.h:177
EIGEN_STRONG_INLINE Packet1cd()
Definition: SSE/Complex.h:246
EIGEN_STRONG_INLINE Packet1cd pdiv< Packet1cd >(const Packet1cd &a, const Packet1cd &b)
Definition: SSE/Complex.h:425
EIGEN_STRONG_INLINE Packet2cf pload< Packet2cf >(const std::complex< float > *from)
EIGEN_STRONG_INLINE Packet2cf pset1< Packet2cf >(const std::complex< float > &from)
EIGEN_STRONG_INLINE Packet1cd pxor< Packet1cd >(const Packet1cd &a, const Packet1cd &b)
Definition: SSE/Complex.h:300
EIGEN_STRONG_INLINE std::complex< float > pfirst< Packet2cf >(const Packet2cf &a)
#define EIGEN_DEBUG_UNALIGNED_STORE
EIGEN_STRONG_INLINE Packet1cd pset1< Packet1cd >(const std::complex< double > &from)
Definition: SSE/Complex.h:308
EIGEN_STRONG_INLINE std::complex< double > predux_mul< Packet1cd >(const Packet1cd &a)
Definition: SSE/Complex.h:338
EIGEN_STRONG_INLINE Packet1cd(const __m128d &a)
Definition: SSE/Complex.h:247
#define EIGEN_DEBUG_ALIGNED_LOAD
EIGEN_STRONG_INLINE Packet2cf pcplxflip(const Packet2cf &x)
Definition: SSE/Complex.h:237
EIGEN_STRONG_INLINE Packet2cf psub< Packet2cf >(const Packet2cf &a, const Packet2cf &b)
void pstore(Scalar *to, const Packet &from)
EIGEN_STRONG_INLINE Packet1cd pmul(const Packet1cd &a, const Packet1cd &b) const
Definition: SSE/Complex.h:394
#define vec2d_swizzle1(v, p, q)
EIGEN_STRONG_INLINE Packet2cf pmul(const Packet2cf &a, const Packet2cf &b) const
Definition: SSE/Complex.h:180
EIGEN_STRONG_INLINE Packet2cf pmadd(const Packet2cf &x, const Packet2cf &y, const Packet2cf &c) const
Definition: SSE/Complex.h:195
void pstoreu(Scalar *to, const Packet &from)
EIGEN_STRONG_INLINE Packet1cd pmadd(const Packet2d &x, const Packet1cd &y, const Packet1cd &c) const
Definition: SSE/Complex.h:409
EIGEN_STRONG_INLINE Packet1cd pmadd(const Packet1cd &x, const Packet1cd &y, const Packet1cd &c) const
Definition: SSE/Complex.h:355
EIGEN_STRONG_INLINE Packet1cd pmadd(const Packet1cd &x, const Packet1cd &y, const Packet1cd &c) const
Definition: SSE/Complex.h:373
EIGEN_STRONG_INLINE Packet4f ploadu< Packet4f >(const float *from)
EIGEN_STRONG_INLINE Packet2cf pmul(const Packet4f &x, const Packet2cf &y) const
Definition: SSE/Complex.h:216
EIGEN_STRONG_INLINE Packet2cf pand< Packet2cf >(const Packet2cf &a, const Packet2cf &b)
#define vec4f_swizzle1(v, p, q, r, s)
EIGEN_STRONG_INLINE Packet2cf()
Definition: SSE/Complex.h:20
EIGEN_STRONG_INLINE Packet1cd pandnot< Packet1cd >(const Packet1cd &a, const Packet1cd &b)
Definition: SSE/Complex.h:301
unpacket_traits< Packet >::type pfirst(const Packet &a)
EIGEN_STRONG_INLINE Packet1cd pload< Packet1cd >(const std::complex< double > *from)
Definition: SSE/Complex.h:304
EIGEN_STRONG_INLINE std::complex< float > predux_mul< Packet2cf >(const Packet2cf &a)
EIGEN_STRONG_INLINE Packet1cd pmul(const Packet1cd &a, const Packet1cd &b) const
Definition: SSE/Complex.h:376
EIGEN_STRONG_INLINE Packet2cf pmul(const Packet2cf &a, const Packet2cf &b) const
Definition: SSE/Complex.h:162
EIGEN_STRONG_INLINE Packet2d ploadu< Packet2d >(const double *from)
EIGEN_STRONG_INLINE Packet2cf pconj(const Packet2cf &a)
EIGEN_STRONG_INLINE Packet2d pload< Packet2d >(const double *from)
EIGEN_STRONG_INLINE Packet1cd pmadd(const Packet1cd &x, const Packet1cd &y, const Packet1cd &c) const
Definition: SSE/Complex.h:391
EIGEN_STRONG_INLINE std::complex< float > predux< Packet2cf >(const Packet2cf &a)
EIGEN_STRONG_INLINE Packet2cf ploaddup< Packet2cf >(const std::complex< float > *from)
EIGEN_STRONG_INLINE Packet1cd pmadd(const Packet1cd &x, const Packet2d &y, const Packet1cd &c) const
Definition: SSE/Complex.h:418
EIGEN_STRONG_INLINE Packet4f pload< Packet4f >(const float *from)
EIGEN_STRONG_INLINE Packet1cd psub< Packet1cd >(const Packet1cd &a, const Packet1cd &b)
Definition: SSE/Complex.h:275
EIGEN_STRONG_INLINE Packet2cf pnegate(const Packet2cf &a)
EIGEN_STRONG_INLINE Packet1cd pmul(const Packet1cd &x, const Packet2d &y) const
Definition: SSE/Complex.h:421
EIGEN_STRONG_INLINE Packet2cf pmadd(const Packet2cf &x, const Packet4f &y, const Packet2cf &c) const
Definition: SSE/Complex.h:222
static EIGEN_STRONG_INLINE void run(Packet2cf &first, const Packet2cf &second)
Definition: SSE/Complex.h:147
EIGEN_STRONG_INLINE Packet2cf pmul(const Packet2cf &x, const Packet4f &y) const
Definition: SSE/Complex.h:225
EIGEN_STRONG_INLINE Packet1cd pmul< Packet1cd >(const Packet1cd &a, const Packet1cd &b)
Definition: SSE/Complex.h:283
EIGEN_STRONG_INLINE Packet1cd ploadu< Packet1cd >(const std::complex< double > *from)
Definition: SSE/Complex.h:306
Packet pmul(const Packet &a, const Packet &b)
EIGEN_STRONG_INLINE Packet1cd por< Packet1cd >(const Packet1cd &a, const Packet1cd &b)
Definition: SSE/Complex.h:299
EIGEN_STRONG_INLINE Packet2cf pxor< Packet2cf >(const Packet2cf &a, const Packet2cf &b)
internal::add_const_on_value_type< EIGEN_MATHFUNC_RETVAL(real_ref, Scalar) >::type real_ref(const Scalar &x)
EIGEN_STRONG_INLINE Packet2cf padd< Packet2cf >(const Packet2cf &a, const Packet2cf &b)
EIGEN_STRONG_INLINE Packet2cf pandnot< Packet2cf >(const Packet2cf &a, const Packet2cf &b)
Packet padd(const Packet &a, const Packet &b)
EIGEN_STRONG_INLINE Packet2cf pdiv< Packet2cf >(const Packet2cf &a, const Packet2cf &b)
EIGEN_STRONG_INLINE Packet2cf preverse(const Packet2cf &a)


acado
Author(s): Milan Vukov, Rien Quirynen
autogenerated on Mon Jun 10 2019 12:34:30