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  Packet4f v;
23 };
24 
25 // Use the packet_traits defined in AVX/PacketMath.h instead if we're going
26 // to leverage AVX instructions.
27 #ifndef EIGEN_VECTORIZE_AVX
28 template<> struct packet_traits<std::complex<float> > : default_packet_traits
29 {
30  typedef Packet2cf type;
31  typedef Packet2cf half;
32  enum {
33  Vectorizable = 1,
34  AlignedOnScalar = 1,
35  size = 2,
36  HasHalfPacket = 0,
37 
38  HasAdd = 1,
39  HasSub = 1,
40  HasMul = 1,
41  HasDiv = 1,
42  HasNegate = 1,
43  HasSqrt = 1,
44  HasAbs = 0,
45  HasAbs2 = 0,
46  HasMin = 0,
47  HasMax = 0,
48  HasSetLinear = 0,
49  HasBlend = 1
50  };
51 };
52 #endif
53 
54 template<> struct unpacket_traits<Packet2cf> {
55  typedef std::complex<float> type;
56  typedef Packet2cf half;
57  typedef Packet4f as_real;
58  enum {
59  size=2,
61  vectorizable=true,
64  };
65 };
66 
67 template<> EIGEN_STRONG_INLINE Packet2cf padd<Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(_mm_add_ps(a.v,b.v)); }
68 template<> EIGEN_STRONG_INLINE Packet2cf psub<Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(_mm_sub_ps(a.v,b.v)); }
69 
70 template<> EIGEN_STRONG_INLINE Packet2cf pnegate(const Packet2cf& a)
71 {
72  const __m128 mask = _mm_castsi128_ps(_mm_setr_epi32(0x80000000,0x80000000,0x80000000,0x80000000));
73  return Packet2cf(_mm_xor_ps(a.v,mask));
74 }
75 template<> EIGEN_STRONG_INLINE Packet2cf pconj(const Packet2cf& a)
76 {
77  const __m128 mask = _mm_castsi128_ps(_mm_setr_epi32(0x00000000,0x80000000,0x00000000,0x80000000));
78  return Packet2cf(_mm_xor_ps(a.v,mask));
79 }
80 
81 template<> EIGEN_STRONG_INLINE Packet2cf pmul<Packet2cf>(const Packet2cf& a, const Packet2cf& b)
82 {
83  #ifdef EIGEN_VECTORIZE_SSE3
84  return Packet2cf(_mm_addsub_ps(_mm_mul_ps(_mm_moveldup_ps(a.v), b.v),
85  _mm_mul_ps(_mm_movehdup_ps(a.v),
86  vec4f_swizzle1(b.v, 1, 0, 3, 2))));
87 // return Packet2cf(_mm_addsub_ps(_mm_mul_ps(vec4f_swizzle1(a.v, 0, 0, 2, 2), b.v),
88 // _mm_mul_ps(vec4f_swizzle1(a.v, 1, 1, 3, 3),
89 // vec4f_swizzle1(b.v, 1, 0, 3, 2))));
90  #else
91  const __m128 mask = _mm_castsi128_ps(_mm_setr_epi32(0x80000000,0x00000000,0x80000000,0x00000000));
92  return Packet2cf(_mm_add_ps(_mm_mul_ps(vec4f_swizzle1(a.v, 0, 0, 2, 2), b.v),
93  _mm_xor_ps(_mm_mul_ps(vec4f_swizzle1(a.v, 1, 1, 3, 3),
94  vec4f_swizzle1(b.v, 1, 0, 3, 2)), mask)));
95  #endif
96 }
97 
99 template<> EIGEN_STRONG_INLINE Packet2cf pand <Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(_mm_and_ps(a.v,b.v)); }
100 template<> EIGEN_STRONG_INLINE Packet2cf por <Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(_mm_or_ps(a.v,b.v)); }
101 template<> EIGEN_STRONG_INLINE Packet2cf pxor <Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(_mm_xor_ps(a.v,b.v)); }
102 template<> EIGEN_STRONG_INLINE Packet2cf pandnot<Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(_mm_andnot_ps(b.v,a.v)); }
103 
104 template<> EIGEN_STRONG_INLINE Packet2cf pload <Packet2cf>(const std::complex<float>* from) { EIGEN_DEBUG_ALIGNED_LOAD return Packet2cf(pload<Packet4f>(&numext::real_ref(*from))); }
105 template<> EIGEN_STRONG_INLINE Packet2cf ploadu<Packet2cf>(const std::complex<float>* from) { EIGEN_DEBUG_UNALIGNED_LOAD return Packet2cf(ploadu<Packet4f>(&numext::real_ref(*from))); }
106 
107 template<> EIGEN_STRONG_INLINE Packet2cf pset1<Packet2cf>(const std::complex<float>& from)
108 {
109  Packet2cf res;
110 #ifdef EIGEN_VECTORIZE_SSE3
111  res.v = _mm_castpd_ps(_mm_loaddup_pd(reinterpret_cast<double const*>(&from)));
112 #else
113  res.v = _mm_castpd_ps(_mm_load_sd(reinterpret_cast<double const*>(&from)));
114  res.v = _mm_movelh_ps(res.v, res.v);
115 #endif
116  return res;
117 }
118 
119 template<> EIGEN_STRONG_INLINE Packet2cf ploaddup<Packet2cf>(const std::complex<float>* from) { return pset1<Packet2cf>(*from); }
120 
121 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)); }
122 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)); }
123 
124 
125 template<> EIGEN_DEVICE_FUNC inline Packet2cf pgather<std::complex<float>, Packet2cf>(const std::complex<float>* from, Index stride)
126 {
127  return Packet2cf(_mm_set_ps(std::imag(from[1*stride]), std::real(from[1*stride]),
128  std::imag(from[0*stride]), std::real(from[0*stride])));
129 }
130 
131 template<> EIGEN_DEVICE_FUNC inline void pscatter<std::complex<float>, Packet2cf>(std::complex<float>* to, const Packet2cf& from, Index stride)
132 {
133  to[stride*0] = std::complex<float>(_mm_cvtss_f32(_mm_shuffle_ps(from.v, from.v, 0)),
134  _mm_cvtss_f32(_mm_shuffle_ps(from.v, from.v, 1)));
135  to[stride*1] = std::complex<float>(_mm_cvtss_f32(_mm_shuffle_ps(from.v, from.v, 2)),
136  _mm_cvtss_f32(_mm_shuffle_ps(from.v, from.v, 3)));
137 }
138 
139 template<> EIGEN_STRONG_INLINE void prefetch<std::complex<float> >(const std::complex<float> * addr) { _mm_prefetch((SsePrefetchPtrType)(addr), _MM_HINT_T0); }
140 
141 template<> EIGEN_STRONG_INLINE std::complex<float> pfirst<Packet2cf>(const Packet2cf& a)
142 {
143  #if EIGEN_GNUC_AT_MOST(4,3)
144  // Workaround gcc 4.2 ICE - this is not performance wise ideal, but who cares...
145  // This workaround also fix invalid code generation with gcc 4.3
146  EIGEN_ALIGN16 std::complex<float> res[2];
147  _mm_store_ps((float*)res, a.v);
148  return res[0];
149  #else
150  std::complex<float> res;
151  _mm_storel_pi((__m64*)&res, a.v);
152  return res;
153  #endif
154 }
155 
156 template<> EIGEN_STRONG_INLINE Packet2cf preverse(const Packet2cf& a) { return Packet2cf(_mm_castpd_ps(preverse(Packet2d(_mm_castps_pd(a.v))))); }
157 
158 template<> EIGEN_STRONG_INLINE std::complex<float> predux<Packet2cf>(const Packet2cf& a)
159 {
160  return pfirst(Packet2cf(_mm_add_ps(a.v, _mm_movehl_ps(a.v,a.v))));
161 }
162 
163 template<> EIGEN_STRONG_INLINE std::complex<float> predux_mul<Packet2cf>(const Packet2cf& a)
164 {
165  return pfirst(pmul(a, Packet2cf(_mm_movehl_ps(a.v,a.v))));
166 }
167 
169 {
170  return Packet2cf(vec4f_swizzle1(x.v, 1, 0, 3, 2));
171 }
172 
174 
175 template<> EIGEN_STRONG_INLINE Packet2cf pdiv<Packet2cf>(const Packet2cf& a, const Packet2cf& b)
176 {
177  // TODO optimize it for SSE3 and 4
178  Packet2cf res = pmul(a, pconj(b));
179  __m128 s = _mm_mul_ps(b.v,b.v);
180  return Packet2cf(_mm_div_ps(res.v,_mm_add_ps(s,vec4f_swizzle1(s, 1, 0, 3, 2))));
181 }
182 
183 
184 
185 //---------- double ----------
186 struct Packet1cd
187 {
189  EIGEN_STRONG_INLINE explicit Packet1cd(const __m128d& a) : v(a) {}
190  Packet2d v;
191 };
192 
193 // Use the packet_traits defined in AVX/PacketMath.h instead if we're going
194 // to leverage AVX instructions.
195 #ifndef EIGEN_VECTORIZE_AVX
196 template<> struct packet_traits<std::complex<double> > : default_packet_traits
197 {
198  typedef Packet1cd type;
199  typedef Packet1cd half;
200  enum {
201  Vectorizable = 1,
202  AlignedOnScalar = 0,
203  size = 1,
204  HasHalfPacket = 0,
205 
206  HasAdd = 1,
207  HasSub = 1,
208  HasMul = 1,
209  HasDiv = 1,
210  HasNegate = 1,
211  HasSqrt = 1,
212  HasAbs = 0,
213  HasAbs2 = 0,
214  HasMin = 0,
215  HasMax = 0,
216  HasSetLinear = 0
217  };
218 };
219 #endif
220 
221 template<> struct unpacket_traits<Packet1cd> {
222  typedef std::complex<double> type;
223  typedef Packet1cd half;
224  typedef Packet2d as_real;
225  enum {
226  size=1,
228  vectorizable=true,
229  masked_load_available=false,
231  };
232 };
233 
234 template<> EIGEN_STRONG_INLINE Packet1cd padd<Packet1cd>(const Packet1cd& a, const Packet1cd& b) { return Packet1cd(_mm_add_pd(a.v,b.v)); }
235 template<> EIGEN_STRONG_INLINE Packet1cd psub<Packet1cd>(const Packet1cd& a, const Packet1cd& b) { return Packet1cd(_mm_sub_pd(a.v,b.v)); }
236 template<> EIGEN_STRONG_INLINE Packet1cd pnegate(const Packet1cd& a) { return Packet1cd(pnegate(Packet2d(a.v))); }
237 template<> EIGEN_STRONG_INLINE Packet1cd pconj(const Packet1cd& a)
238 {
239  const __m128d mask = _mm_castsi128_pd(_mm_set_epi32(0x80000000,0x0,0x0,0x0));
240  return Packet1cd(_mm_xor_pd(a.v,mask));
241 }
242 
243 template<> EIGEN_STRONG_INLINE Packet1cd pmul<Packet1cd>(const Packet1cd& a, const Packet1cd& b)
244 {
245  #ifdef EIGEN_VECTORIZE_SSE3
246  return Packet1cd(_mm_addsub_pd(_mm_mul_pd(_mm_movedup_pd(a.v), b.v),
247  _mm_mul_pd(vec2d_swizzle1(a.v, 1, 1),
248  vec2d_swizzle1(b.v, 1, 0))));
249  #else
250  const __m128d mask = _mm_castsi128_pd(_mm_set_epi32(0x0,0x0,0x80000000,0x0));
251  return Packet1cd(_mm_add_pd(_mm_mul_pd(vec2d_swizzle1(a.v, 0, 0), b.v),
252  _mm_xor_pd(_mm_mul_pd(vec2d_swizzle1(a.v, 1, 1),
253  vec2d_swizzle1(b.v, 1, 0)), mask)));
254  #endif
255 }
256 
258 template<> EIGEN_STRONG_INLINE Packet1cd pand <Packet1cd>(const Packet1cd& a, const Packet1cd& b) { return Packet1cd(_mm_and_pd(a.v,b.v)); }
259 template<> EIGEN_STRONG_INLINE Packet1cd por <Packet1cd>(const Packet1cd& a, const Packet1cd& b) { return Packet1cd(_mm_or_pd(a.v,b.v)); }
260 template<> EIGEN_STRONG_INLINE Packet1cd pxor <Packet1cd>(const Packet1cd& a, const Packet1cd& b) { return Packet1cd(_mm_xor_pd(a.v,b.v)); }
261 template<> EIGEN_STRONG_INLINE Packet1cd pandnot<Packet1cd>(const Packet1cd& a, const Packet1cd& b) { return Packet1cd(_mm_andnot_pd(b.v,a.v)); }
262 
263 // FIXME force unaligned load, this is a temporary fix
264 template<> EIGEN_STRONG_INLINE Packet1cd pload <Packet1cd>(const std::complex<double>* from)
265 { EIGEN_DEBUG_ALIGNED_LOAD return Packet1cd(pload<Packet2d>((const double*)from)); }
266 template<> EIGEN_STRONG_INLINE Packet1cd ploadu<Packet1cd>(const std::complex<double>* from)
267 { EIGEN_DEBUG_UNALIGNED_LOAD return Packet1cd(ploadu<Packet2d>((const double*)from)); }
268 template<> EIGEN_STRONG_INLINE Packet1cd pset1<Packet1cd>(const std::complex<double>& from)
269 { /* here we really have to use unaligned loads :( */ return ploadu<Packet1cd>(&from); }
270 
271 template<> EIGEN_STRONG_INLINE Packet1cd ploaddup<Packet1cd>(const std::complex<double>* from) { return pset1<Packet1cd>(*from); }
272 
273 // FIXME force unaligned store, this is a temporary fix
274 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)); }
275 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)); }
276 
277 template<> EIGEN_STRONG_INLINE void prefetch<std::complex<double> >(const std::complex<double> * addr) { _mm_prefetch((SsePrefetchPtrType)(addr), _MM_HINT_T0); }
278 
279 template<> EIGEN_STRONG_INLINE std::complex<double> pfirst<Packet1cd>(const Packet1cd& a)
280 {
281  EIGEN_ALIGN16 double res[2];
282  _mm_store_pd(res, a.v);
283  return std::complex<double>(res[0],res[1]);
284 }
285 
286 template<> EIGEN_STRONG_INLINE Packet1cd preverse(const Packet1cd& a) { return a; }
287 
288 template<> EIGEN_STRONG_INLINE std::complex<double> predux<Packet1cd>(const Packet1cd& a)
289 {
290  return pfirst(a);
291 }
292 
293 template<> EIGEN_STRONG_INLINE std::complex<double> predux_mul<Packet1cd>(const Packet1cd& a)
294 {
295  return pfirst(a);
296 }
297 
299 
300 template<> EIGEN_STRONG_INLINE Packet1cd pdiv<Packet1cd>(const Packet1cd& a, const Packet1cd& b)
301 {
302  // TODO optimize it for SSE3 and 4
303  Packet1cd res = pmul(a,pconj(b));
304  __m128d s = _mm_mul_pd(b.v,b.v);
305  return Packet1cd(_mm_div_pd(res.v, _mm_add_pd(s,_mm_shuffle_pd(s, s, 0x1))));
306 }
307 
308 EIGEN_STRONG_INLINE Packet1cd pcplxflip/* <Packet1cd> */(const Packet1cd& x)
309 {
310  return Packet1cd(preverse(Packet2d(x.v)));
311 }
312 
313 EIGEN_DEVICE_FUNC inline void
314 ptranspose(PacketBlock<Packet2cf,2>& kernel) {
315  __m128d w1 = _mm_castps_pd(kernel.packet[0].v);
316  __m128d w2 = _mm_castps_pd(kernel.packet[1].v);
317 
318  __m128 tmp = _mm_castpd_ps(_mm_unpackhi_pd(w1, w2));
319  kernel.packet[0].v = _mm_castpd_ps(_mm_unpacklo_pd(w1, w2));
320  kernel.packet[1].v = tmp;
321 }
322 
323 template<> EIGEN_STRONG_INLINE Packet2cf pcmp_eq(const Packet2cf& a, const Packet2cf& b)
324 {
325  __m128 eq = _mm_cmpeq_ps(a.v, b.v);
326  return Packet2cf(pand<Packet4f>(eq, vec4f_swizzle1(eq, 1, 0, 3, 2)));
327 }
328 
330 {
331  __m128d eq = _mm_cmpeq_pd(a.v, b.v);
332  return Packet1cd(pand<Packet2d>(eq, vec2d_swizzle1(eq, 1, 0)));
333 }
334 
335 template<> EIGEN_STRONG_INLINE Packet2cf pblend(const Selector<2>& ifPacket, const Packet2cf& thenPacket, const Packet2cf& elsePacket) {
336  __m128d result = pblend<Packet2d>(ifPacket, _mm_castps_pd(thenPacket.v), _mm_castps_pd(elsePacket.v));
337  return Packet2cf(_mm_castpd_ps(result));
338 }
339 
341  return psqrt_complex<Packet1cd>(a);
342 }
343 
344 template<> EIGEN_STRONG_INLINE Packet2cf psqrt<Packet2cf>(const Packet2cf& a) {
345  return psqrt_complex<Packet2cf>(a);
346 }
347 
348 } // end namespace internal
349 } // end namespace Eigen
350 
351 #endif // EIGEN_COMPLEX_SSE_H
Eigen::internal::Packet2cf::v
Packet4f v
Definition: AltiVec/Complex.h:80
Eigen::internal::ploadu< Packet2cf >
EIGEN_STRONG_INLINE Packet2cf ploadu< Packet2cf >(const std::complex< float > *from)
Definition: AltiVec/Complex.h:124
Eigen::internal::pcmp_eq
EIGEN_STRONG_INLINE Packet2cf pcmp_eq(const Packet2cf &a, const Packet2cf &b)
Definition: AltiVec/Complex.h:231
EIGEN_DEVICE_FUNC
#define EIGEN_DEVICE_FUNC
Definition: Macros.h:976
Eigen::internal::packet_traits::HasAbs
@ HasAbs
Definition: GenericPacketMath.h:121
Eigen
Namespace containing all symbols from the Eigen library.
Definition: jet.h:637
EIGEN_MAKE_CONJ_HELPER_CPLX_REAL
#define EIGEN_MAKE_CONJ_HELPER_CPLX_REAL(PACKET_CPLX, PACKET_REAL)
Definition: ConjHelper.h:14
Eigen::internal::unpacket_traits< Packet1cd >::half
Packet1cd half
Definition: SSE/Complex.h:223
Eigen::internal::packet_traits< std::complex< float > >::half
Packet2cf half
Definition: SSE/Complex.h:31
Eigen::internal::unpacket_traits< Packet2cf >::as_real
Packet4f as_real
Definition: SSE/Complex.h:57
Eigen::internal::packet_traits::HasSub
@ HasSub
Definition: GenericPacketMath.h:118
Eigen::internal::pstoreu
EIGEN_DEVICE_FUNC void pstoreu(Scalar *to, const Packet &from)
Definition: GenericPacketMath.h:700
Eigen::internal::packet_traits::size
@ size
Definition: GenericPacketMath.h:112
Eigen::internal::Packet4f
__vector float Packet4f
Definition: AltiVec/PacketMath.h:30
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RealScalar s
Definition: level1_cplx_impl.h:126
Eigen::internal::pmul< Packet1cd >
EIGEN_STRONG_INLINE Packet1cd pmul< Packet1cd >(const Packet1cd &a, const Packet1cd &b)
Definition: MSA/Complex.h:498
Eigen::internal::psqrt< Packet2cf >
EIGEN_STRONG_INLINE Packet2cf psqrt< Packet2cf >(const Packet2cf &a)
Definition: AltiVec/Complex.h:244
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Scalar * b
Definition: benchVecAdd.cpp:17
Eigen::internal::pand< Packet2cf >
EIGEN_STRONG_INLINE Packet2cf pand< Packet2cf >(const Packet2cf &a, const Packet2cf &b)
Definition: AltiVec/Complex.h:169
Eigen::internal::predux_mul< Packet1cd >
EIGEN_STRONG_INLINE std::complex< double > predux_mul< Packet1cd >(const Packet1cd &a)
Definition: MSA/Complex.h:605
Eigen::internal::ploaddup< Packet2cf >
EIGEN_STRONG_INLINE Packet2cf ploaddup< Packet2cf >(const std::complex< float > *from)
Definition: AltiVec/Complex.h:125
Eigen::internal::unpacket_traits< Packet1cd >::type
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Definition: SSE/Complex.h:222
Eigen::internal::pfirst
EIGEN_STRONG_INLINE bfloat16 pfirst(const Packet8bf &a)
Definition: AltiVec/PacketMath.h:1429
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Definition: gnuplot_common_settings.hh:12
Eigen::internal::ptrue< Packet2cf >
EIGEN_STRONG_INLINE Packet2cf ptrue< Packet2cf >(const Packet2cf &a)
Definition: SSE/Complex.h:98
Eigen::internal::predux< Packet2cf >
EIGEN_STRONG_INLINE std::complex< float > predux< Packet2cf >(const Packet2cf &a)
Definition: AltiVec/Complex.h:191
Eigen::internal::pandnot< Packet1cd >
EIGEN_STRONG_INLINE Packet1cd pandnot< Packet1cd >(const Packet1cd &a, const Packet1cd &b)
Definition: MSA/Complex.h:526
Eigen::internal::preverse
EIGEN_STRONG_INLINE Packet2cf preverse(const Packet2cf &a)
Definition: AltiVec/Complex.h:184
real
float real
Definition: datatypes.h:10
Eigen::internal::packet_traits::HasMin
@ HasMin
Definition: GenericPacketMath.h:123
Eigen::internal::packet_traits< std::complex< double > >::type
Packet1cd type
Definition: SSE/Complex.h:198
Eigen::internal::ploadu< Packet2d >
EIGEN_STRONG_INLINE Packet2d ploadu< Packet2d >(const double *from)
Definition: MSA/PacketMath.h:1004
Eigen::internal::pconj
EIGEN_STRONG_INLINE Packet2cf pconj(const Packet2cf &a)
Definition: AltiVec/Complex.h:167
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Definition: PartialRedux_count.cpp:3
Eigen::internal::ploadu< Packet4f >
EIGEN_STRONG_INLINE Packet4f ploadu< Packet4f >(const float *from)
Definition: AltiVec/PacketMath.h:968
Eigen::internal::unpacket_traits::vectorizable
@ vectorizable
Definition: GenericPacketMath.h:140
Eigen::internal::default_packet_traits::HasBlend
@ HasBlend
Definition: GenericPacketMath.h:60
result
Values result
Definition: OdometryOptimize.cpp:8
Eigen::internal::pload< Packet4f >
EIGEN_STRONG_INLINE Packet4f pload< Packet4f >(const float *from)
Definition: AltiVec/PacketMath.h:443
Eigen::internal::Packet2cf::Packet2cf
EIGEN_STRONG_INLINE Packet2cf(const __m128 &a)
Definition: SSE/Complex.h:21
Eigen::internal::ploadu< Packet1cd >
EIGEN_STRONG_INLINE Packet1cd ploadu< Packet1cd >(const std::complex< double > *from)
Definition: MSA/Complex.h:456
Eigen::internal::unpacket_traits< Packet2cf >::type
std::complex< float > type
Definition: SSE/Complex.h:55
Eigen::internal::packet_traits::HasHalfPacket
@ HasHalfPacket
Definition: GenericPacketMath.h:114
EIGEN_DEBUG_UNALIGNED_STORE
#define EIGEN_DEBUG_UNALIGNED_STORE
Definition: GenericPacketMath.h:39
Eigen::internal::unpacket_traits::masked_store_available
@ masked_store_available
Definition: GenericPacketMath.h:142
Eigen::internal::pload< Packet1cd >
EIGEN_STRONG_INLINE Packet1cd pload< Packet1cd >(const std::complex< double > *from)
Definition: MSA/Complex.h:449
Eigen::internal::pand< Packet2d >
EIGEN_STRONG_INLINE Packet2d pand< Packet2d >(const Packet2d &a, const Packet2d &b)
Definition: MSA/PacketMath.h:939
Eigen::internal::padd< Packet1cd >
EIGEN_STRONG_INLINE Packet1cd padd< Packet1cd >(const Packet1cd &a, const Packet1cd &b)
Definition: MSA/Complex.h:470
Eigen::internal::por< Packet1cd >
EIGEN_STRONG_INLINE Packet1cd por< Packet1cd >(const Packet1cd &a, const Packet1cd &b)
Definition: MSA/Complex.h:512
Eigen::internal::vec4f_swizzle1
EIGEN_STRONG_INLINE Packet4f vec4f_swizzle1(const Packet4f &a, int p, int q, int r, int s)
Definition: NEON/PacketMath.h:113
Eigen::internal::unpacket_traits::size
@ size
Definition: GenericPacketMath.h:138
Eigen::internal::unpacket_traits::alignment
@ alignment
Definition: GenericPacketMath.h:139
Eigen::internal::Packet1cd::Packet1cd
EIGEN_STRONG_INLINE Packet1cd()
Definition: SSE/Complex.h:188
Eigen::internal::Packet1cd::Packet1cd
EIGEN_STRONG_INLINE Packet1cd(const __m128d &a)
Definition: SSE/Complex.h:189
Eigen::internal::pfirst< Packet1cd >
EIGEN_STRONG_INLINE std::complex< double > pfirst< Packet1cd >(const Packet1cd &a)
Definition: MSA/Complex.h:584
Eigen::internal::packet_traits< std::complex< float > >::type
Packet2cf type
Definition: SSE/Complex.h:30
x1
Pose3 x1
Definition: testPose3.cpp:663
Eigen::internal::packet_traits::AlignedOnScalar
@ AlignedOnScalar
Definition: GenericPacketMath.h:113
Eigen::internal::pdiv< Packet1cd >
EIGEN_STRONG_INLINE Packet1cd pdiv< Packet1cd >(const Packet1cd &a, const Packet1cd &b)
Definition: MSA/Complex.h:614
Eigen::internal::psub< Packet1cd >
EIGEN_STRONG_INLINE Packet1cd psub< Packet1cd >(const Packet1cd &a, const Packet1cd &b)
Definition: MSA/Complex.h:477
Eigen::internal::padd< Packet2cf >
EIGEN_STRONG_INLINE Packet2cf padd< Packet2cf >(const Packet2cf &a, const Packet2cf &b)
Definition: AltiVec/Complex.h:164
Eigen::internal::pload< Packet2cf >
EIGEN_STRONG_INLINE Packet2cf pload< Packet2cf >(const std::complex< float > *from)
Definition: AltiVec/Complex.h:123
Eigen::internal::pnegate
EIGEN_STRONG_INLINE Packet2cf pnegate(const Packet2cf &a)
Definition: AltiVec/Complex.h:166
Eigen::internal::unpacket_traits< Packet1cd >::as_real
Packet2d as_real
Definition: SSE/Complex.h:224
Eigen::numext::real_ref
EIGEN_DEVICE_FUNC internal::add_const_on_value_type< EIGEN_MATHFUNC_RETVAL(real_ref, Scalar) >::type real_ref(const Scalar &x)
Definition: Eigen/src/Core/MathFunctions.h:1239
Eigen::internal::pset1< Packet2cf >
EIGEN_STRONG_INLINE Packet2cf pset1< Packet2cf >(const std::complex< float > &from)
Definition: AltiVec/Complex.h:112
Eigen::internal::ptranspose
EIGEN_STRONG_INLINE void ptranspose(PacketBlock< Packet2cf, 2 > &kernel)
Definition: AltiVec/Complex.h:224
Eigen::internal::Packet2cf
Definition: AltiVec/Complex.h:30
Eigen::internal::pfirst< Packet2cf >
EIGEN_STRONG_INLINE std::complex< float > pfirst< Packet2cf >(const Packet2cf &a)
Definition: AltiVec/Complex.h:176
vec2d_swizzle1
#define vec2d_swizzle1(v, p, q)
Definition: SSE/PacketMath.h:67
EIGEN_DEBUG_ALIGNED_LOAD
#define EIGEN_DEBUG_ALIGNED_LOAD
Definition: GenericPacketMath.h:27
EIGEN_STRONG_INLINE
#define EIGEN_STRONG_INLINE
Definition: Macros.h:917
Eigen::internal::pmul< Packet2cf >
EIGEN_STRONG_INLINE Packet2cf pmul< Packet2cf >(const Packet2cf &a, const Packet2cf &b)
Definition: MSA/Complex.h:173
x0
static Symbol x0('x', 0)
Eigen::internal::pblend
EIGEN_STRONG_INLINE Packet4i pblend(const Selector< 4 > &ifPacket, const Packet4i &thenPacket, const Packet4i &elsePacket)
Definition: AltiVec/PacketMath.h:2107
Eigen::internal::pset1< Packet1cd >
EIGEN_STRONG_INLINE Packet1cd pset1< Packet1cd >(const std::complex< double > &from)
Definition: MSA/Complex.h:463
Eigen::internal::Packet2cf::Packet2cf
EIGEN_STRONG_INLINE Packet2cf()
Definition: SSE/Complex.h:20
Eigen::internal::default_packet_traits::HasSqrt
@ HasSqrt
Definition: GenericPacketMath.h:66
imag
const EIGEN_DEVICE_FUNC ImagReturnType imag() const
Definition: CommonCwiseUnaryOps.h:109
Eigen::internal::Packet1cd::v
Packet2d v
Definition: MSA/Complex.h:410
Eigen::internal::unpacket_traits< Packet2cf >::half
Packet2cf half
Definition: SSE/Complex.h:56
Eigen::internal::pstore
EIGEN_DEVICE_FUNC void pstore(Scalar *to, const Packet &from)
Definition: GenericPacketMath.h:696
Eigen::internal::por< Packet2cf >
EIGEN_STRONG_INLINE Packet2cf por< Packet2cf >(const Packet2cf &a, const Packet2cf &b)
Definition: AltiVec/Complex.h:170
Eigen::internal::unpacket_traits::masked_load_available
@ masked_load_available
Definition: GenericPacketMath.h:141
Eigen::internal::ptrue< Packet1cd >
EIGEN_STRONG_INLINE Packet1cd ptrue< Packet1cd >(const Packet1cd &a)
Definition: SSE/Complex.h:257
Eigen::Aligned16
@ Aligned16
Definition: Constants.h:235
a
ArrayXXi a
Definition: Array_initializer_list_23_cxx11.cpp:1
Eigen::internal::packet_traits::HasAbs2
@ HasAbs2
Definition: GenericPacketMath.h:122
Eigen::internal::packet_traits< std::complex< double > >::half
Packet1cd half
Definition: SSE/Complex.h:199
Eigen::internal::pmul
EIGEN_DEVICE_FUNC Packet pmul(const Packet &a, const Packet &b)
Definition: GenericPacketMath.h:237
Eigen::internal::Packet2d
v2f64 Packet2d
Definition: MSA/PacketMath.h:820
EIGEN_DEBUG_UNALIGNED_LOAD
#define EIGEN_DEBUG_UNALIGNED_LOAD
Definition: GenericPacketMath.h:31
Eigen::internal::SsePrefetchPtrType
const typedef char * SsePrefetchPtrType
Definition: SSE/PacketMath.h:864
std
Definition: BFloat16.h:88
Eigen::internal::pandnot< Packet2cf >
EIGEN_STRONG_INLINE Packet2cf pandnot< Packet2cf >(const Packet2cf &a, const Packet2cf &b)
Definition: AltiVec/Complex.h:172
Eigen::internal::pand< Packet4f >
EIGEN_STRONG_INLINE Packet4f pand< Packet4f >(const Packet4f &a, const Packet4f &b)
Definition: AltiVec/PacketMath.h:891
Eigen::internal::psqrt< Packet1cd >
EIGEN_STRONG_INLINE Packet1cd psqrt< Packet1cd >(const Packet1cd &a)
Definition: SSE/Complex.h:340
Eigen::internal::packet_traits::HasAdd
@ HasAdd
Definition: GenericPacketMath.h:117
Eigen::internal::pcplxflip
EIGEN_STRONG_INLINE Packet1cd pcplxflip(const Packet1cd &x)
Definition: MSA/Complex.h:620
Eigen::internal::packet_traits::HasMax
@ HasMax
Definition: GenericPacketMath.h:124
Eigen::internal::pxor< Packet1cd >
EIGEN_STRONG_INLINE Packet1cd pxor< Packet1cd >(const Packet1cd &a, const Packet1cd &b)
Definition: MSA/Complex.h:519
Eigen::internal::psub< Packet2cf >
EIGEN_STRONG_INLINE Packet2cf psub< Packet2cf >(const Packet2cf &a, const Packet2cf &b)
Definition: AltiVec/Complex.h:165
Eigen::internal::ploaddup< Packet1cd >
EIGEN_STRONG_INLINE Packet1cd ploaddup< Packet1cd >(const std::complex< double > *from)
Definition: MSA/Complex.h:533
Eigen::internal::packet_traits::HasNegate
@ HasNegate
Definition: GenericPacketMath.h:120
Eigen::internal::default_packet_traits::HasDiv
@ HasDiv
Definition: GenericPacketMath.h:65
EIGEN_ALIGN16
#define EIGEN_ALIGN16
Definition: ConfigureVectorization.h:153
Eigen::internal::pxor< Packet2cf >
EIGEN_STRONG_INLINE Packet2cf pxor< Packet2cf >(const Packet2cf &a, const Packet2cf &b)
Definition: AltiVec/Complex.h:171
internal
Definition: BandTriangularSolver.h:13
Eigen::internal::pand< Packet1cd >
EIGEN_STRONG_INLINE Packet1cd pand< Packet1cd >(const Packet1cd &a, const Packet1cd &b)
Definition: MSA/Complex.h:505
Eigen::internal::predux_mul< Packet2cf >
EIGEN_STRONG_INLINE std::complex< float > predux_mul< Packet2cf >(const Packet2cf &a)
Definition: AltiVec/Complex.h:199
Eigen::internal::Packet1cd
Definition: MSA/Complex.h:341
Eigen::internal::packet_traits::HasMul
@ HasMul
Definition: GenericPacketMath.h:119
Eigen::internal::packet_traits::Vectorizable
@ Vectorizable
Definition: GenericPacketMath.h:111
Eigen::internal::pload< Packet2d >
EIGEN_STRONG_INLINE Packet2d pload< Packet2d >(const double *from)
Definition: MSA/PacketMath.h:967
EIGEN_DEBUG_ALIGNED_STORE
#define EIGEN_DEBUG_ALIGNED_STORE
Definition: GenericPacketMath.h:35
Eigen::internal::ptrue
EIGEN_STRONG_INLINE Packet8h ptrue(const Packet8h &a)
Definition: AVX/PacketMath.h:978
complex
Definition: datatypes.h:12
Eigen::internal::packet_traits::HasSetLinear
@ HasSetLinear
Definition: GenericPacketMath.h:126
Eigen::internal::predux< Packet1cd >
EIGEN_STRONG_INLINE std::complex< double > predux< Packet1cd >(const Packet1cd &a)
Definition: MSA/Complex.h:598
Eigen::internal::pdiv< Packet2cf >
EIGEN_STRONG_INLINE Packet2cf pdiv< Packet2cf >(const Packet2cf &a, const Packet2cf &b)
Definition: AltiVec/Complex.h:211
Eigen::Index
EIGEN_DEFAULT_DENSE_INDEX_TYPE Index
The Index type as used for the API.
Definition: Meta.h:74


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autogenerated on Fri Nov 1 2024 03:32:08