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Eigen  3.4.0
 
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AVX/Complex.h
1// This file is part of Eigen, a lightweight C++ template library
2// for linear algebra.
3//
4// Copyright (C) 2014 Benoit Steiner (benoit.steiner.goog@gmail.com)
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_AVX_H
11#define EIGEN_COMPLEX_AVX_H
12
13namespace Eigen {
14
15namespace internal {
16
17//---------- float ----------
18struct Packet4cf
19{
20 EIGEN_STRONG_INLINE Packet4cf() {}
21 EIGEN_STRONG_INLINE explicit Packet4cf(const __m256& a) : v(a) {}
22 __m256 v;
23};
24
25#ifndef EIGEN_VECTORIZE_AVX512
26template<> struct packet_traits<std::complex<float> > : default_packet_traits
27{
28 typedef Packet4cf type;
29 typedef Packet2cf half;
30 enum {
31 Vectorizable = 1,
32 AlignedOnScalar = 1,
33 size = 4,
34 HasHalfPacket = 1,
35
36 HasAdd = 1,
37 HasSub = 1,
38 HasMul = 1,
39 HasDiv = 1,
40 HasNegate = 1,
41 HasSqrt = 1,
42 HasAbs = 0,
43 HasAbs2 = 0,
44 HasMin = 0,
45 HasMax = 0,
46 HasSetLinear = 0
47 };
48};
49#endif
50
51template<> struct unpacket_traits<Packet4cf> {
52 typedef std::complex<float> type;
53 typedef Packet2cf half;
54 typedef Packet8f as_real;
55 enum {
56 size=4,
57 alignment=Aligned32,
58 vectorizable=true,
59 masked_load_available=false,
60 masked_store_available=false
61 };
62};
63
64template<> EIGEN_STRONG_INLINE Packet4cf padd<Packet4cf>(const Packet4cf& a, const Packet4cf& b) { return Packet4cf(_mm256_add_ps(a.v,b.v)); }
65template<> EIGEN_STRONG_INLINE Packet4cf psub<Packet4cf>(const Packet4cf& a, const Packet4cf& b) { return Packet4cf(_mm256_sub_ps(a.v,b.v)); }
66template<> EIGEN_STRONG_INLINE Packet4cf pnegate(const Packet4cf& a)
67{
68 return Packet4cf(pnegate(a.v));
69}
70template<> EIGEN_STRONG_INLINE Packet4cf pconj(const Packet4cf& a)
71{
72 const __m256 mask = _mm256_castsi256_ps(_mm256_setr_epi32(0x00000000,0x80000000,0x00000000,0x80000000,0x00000000,0x80000000,0x00000000,0x80000000));
73 return Packet4cf(_mm256_xor_ps(a.v,mask));
74}
75
76template<> EIGEN_STRONG_INLINE Packet4cf pmul<Packet4cf>(const Packet4cf& a, const Packet4cf& b)
77{
78 __m256 tmp1 = _mm256_mul_ps(_mm256_moveldup_ps(a.v), b.v);
79 __m256 tmp2 = _mm256_mul_ps(_mm256_movehdup_ps(a.v), _mm256_permute_ps(b.v, _MM_SHUFFLE(2,3,0,1)));
80 __m256 result = _mm256_addsub_ps(tmp1, tmp2);
81 return Packet4cf(result);
82}
83
84template <>
85EIGEN_STRONG_INLINE Packet4cf pcmp_eq(const Packet4cf& a, const Packet4cf& b) {
86 __m256 eq = _mm256_cmp_ps(a.v, b.v, _CMP_EQ_OQ);
87 return Packet4cf(_mm256_and_ps(eq, _mm256_permute_ps(eq, 0xb1)));
88}
89
90template<> EIGEN_STRONG_INLINE Packet4cf ptrue<Packet4cf>(const Packet4cf& a) { return Packet4cf(ptrue(Packet8f(a.v))); }
91template<> EIGEN_STRONG_INLINE Packet4cf pand <Packet4cf>(const Packet4cf& a, const Packet4cf& b) { return Packet4cf(_mm256_and_ps(a.v,b.v)); }
92template<> EIGEN_STRONG_INLINE Packet4cf por <Packet4cf>(const Packet4cf& a, const Packet4cf& b) { return Packet4cf(_mm256_or_ps(a.v,b.v)); }
93template<> EIGEN_STRONG_INLINE Packet4cf pxor <Packet4cf>(const Packet4cf& a, const Packet4cf& b) { return Packet4cf(_mm256_xor_ps(a.v,b.v)); }
94template<> EIGEN_STRONG_INLINE Packet4cf pandnot<Packet4cf>(const Packet4cf& a, const Packet4cf& b) { return Packet4cf(_mm256_andnot_ps(b.v,a.v)); }
95
96template<> EIGEN_STRONG_INLINE Packet4cf pload <Packet4cf>(const std::complex<float>* from) { EIGEN_DEBUG_ALIGNED_LOAD return Packet4cf(pload<Packet8f>(&numext::real_ref(*from))); }
97template<> EIGEN_STRONG_INLINE Packet4cf ploadu<Packet4cf>(const std::complex<float>* from) { EIGEN_DEBUG_UNALIGNED_LOAD return Packet4cf(ploadu<Packet8f>(&numext::real_ref(*from))); }
98
99
100template<> EIGEN_STRONG_INLINE Packet4cf pset1<Packet4cf>(const std::complex<float>& from)
101{
102 return Packet4cf(_mm256_castpd_ps(_mm256_broadcast_sd((const double*)(const void*)&from)));
103}
104
105template<> EIGEN_STRONG_INLINE Packet4cf ploaddup<Packet4cf>(const std::complex<float>* from)
106{
107 // FIXME The following might be optimized using _mm256_movedup_pd
108 Packet2cf a = ploaddup<Packet2cf>(from);
109 Packet2cf b = ploaddup<Packet2cf>(from+1);
110 return Packet4cf(_mm256_insertf128_ps(_mm256_castps128_ps256(a.v), b.v, 1));
111}
112
113template<> EIGEN_STRONG_INLINE void pstore <std::complex<float> >(std::complex<float>* to, const Packet4cf& from) { EIGEN_DEBUG_ALIGNED_STORE pstore(&numext::real_ref(*to), from.v); }
114template<> EIGEN_STRONG_INLINE void pstoreu<std::complex<float> >(std::complex<float>* to, const Packet4cf& from) { EIGEN_DEBUG_UNALIGNED_STORE pstoreu(&numext::real_ref(*to), from.v); }
115
116template<> EIGEN_DEVICE_FUNC inline Packet4cf pgather<std::complex<float>, Packet4cf>(const std::complex<float>* from, Index stride)
117{
118 return Packet4cf(_mm256_set_ps(std::imag(from[3*stride]), std::real(from[3*stride]),
119 std::imag(from[2*stride]), std::real(from[2*stride]),
120 std::imag(from[1*stride]), std::real(from[1*stride]),
121 std::imag(from[0*stride]), std::real(from[0*stride])));
122}
123
124template<> EIGEN_DEVICE_FUNC inline void pscatter<std::complex<float>, Packet4cf>(std::complex<float>* to, const Packet4cf& from, Index stride)
125{
126 __m128 low = _mm256_extractf128_ps(from.v, 0);
127 to[stride*0] = std::complex<float>(_mm_cvtss_f32(_mm_shuffle_ps(low, low, 0)),
128 _mm_cvtss_f32(_mm_shuffle_ps(low, low, 1)));
129 to[stride*1] = std::complex<float>(_mm_cvtss_f32(_mm_shuffle_ps(low, low, 2)),
130 _mm_cvtss_f32(_mm_shuffle_ps(low, low, 3)));
131
132 __m128 high = _mm256_extractf128_ps(from.v, 1);
133 to[stride*2] = std::complex<float>(_mm_cvtss_f32(_mm_shuffle_ps(high, high, 0)),
134 _mm_cvtss_f32(_mm_shuffle_ps(high, high, 1)));
135 to[stride*3] = std::complex<float>(_mm_cvtss_f32(_mm_shuffle_ps(high, high, 2)),
136 _mm_cvtss_f32(_mm_shuffle_ps(high, high, 3)));
137
138}
139
140template<> EIGEN_STRONG_INLINE std::complex<float> pfirst<Packet4cf>(const Packet4cf& a)
141{
142 return pfirst(Packet2cf(_mm256_castps256_ps128(a.v)));
143}
144
145template<> EIGEN_STRONG_INLINE Packet4cf preverse(const Packet4cf& a) {
146 __m128 low = _mm256_extractf128_ps(a.v, 0);
147 __m128 high = _mm256_extractf128_ps(a.v, 1);
148 __m128d lowd = _mm_castps_pd(low);
149 __m128d highd = _mm_castps_pd(high);
150 low = _mm_castpd_ps(_mm_shuffle_pd(lowd,lowd,0x1));
151 high = _mm_castpd_ps(_mm_shuffle_pd(highd,highd,0x1));
152 __m256 result = _mm256_setzero_ps();
153 result = _mm256_insertf128_ps(result, low, 1);
154 result = _mm256_insertf128_ps(result, high, 0);
155 return Packet4cf(result);
156}
157
158template<> EIGEN_STRONG_INLINE std::complex<float> predux<Packet4cf>(const Packet4cf& a)
159{
160 return predux(padd(Packet2cf(_mm256_extractf128_ps(a.v,0)),
161 Packet2cf(_mm256_extractf128_ps(a.v,1))));
162}
163
164template<> EIGEN_STRONG_INLINE std::complex<float> predux_mul<Packet4cf>(const Packet4cf& a)
165{
166 return predux_mul(pmul(Packet2cf(_mm256_extractf128_ps(a.v, 0)),
167 Packet2cf(_mm256_extractf128_ps(a.v, 1))));
168}
169
170EIGEN_MAKE_CONJ_HELPER_CPLX_REAL(Packet4cf,Packet8f)
171
172template<> EIGEN_STRONG_INLINE Packet4cf pdiv<Packet4cf>(const Packet4cf& a, const Packet4cf& b)
173{
174 Packet4cf num = pmul(a, pconj(b));
175 __m256 tmp = _mm256_mul_ps(b.v, b.v);
176 __m256 tmp2 = _mm256_shuffle_ps(tmp,tmp,0xB1);
177 __m256 denom = _mm256_add_ps(tmp, tmp2);
178 return Packet4cf(_mm256_div_ps(num.v, denom));
179}
180
181template<> EIGEN_STRONG_INLINE Packet4cf pcplxflip<Packet4cf>(const Packet4cf& x)
182{
183 return Packet4cf(_mm256_shuffle_ps(x.v, x.v, _MM_SHUFFLE(2, 3, 0 ,1)));
184}
185
186//---------- double ----------
187struct Packet2cd
188{
189 EIGEN_STRONG_INLINE Packet2cd() {}
190 EIGEN_STRONG_INLINE explicit Packet2cd(const __m256d& a) : v(a) {}
191 __m256d v;
192};
193
194#ifndef EIGEN_VECTORIZE_AVX512
195template<> struct packet_traits<std::complex<double> > : default_packet_traits
196{
197 typedef Packet2cd type;
198 typedef Packet1cd half;
199 enum {
200 Vectorizable = 1,
201 AlignedOnScalar = 0,
202 size = 2,
203 HasHalfPacket = 1,
204
205 HasAdd = 1,
206 HasSub = 1,
207 HasMul = 1,
208 HasDiv = 1,
209 HasNegate = 1,
210 HasSqrt = 1,
211 HasAbs = 0,
212 HasAbs2 = 0,
213 HasMin = 0,
214 HasMax = 0,
215 HasSetLinear = 0
216 };
217};
218#endif
219
220template<> struct unpacket_traits<Packet2cd> {
221 typedef std::complex<double> type;
222 typedef Packet1cd half;
223 typedef Packet4d as_real;
224 enum {
225 size=2,
226 alignment=Aligned32,
227 vectorizable=true,
228 masked_load_available=false,
229 masked_store_available=false
230 };
231};
232
233template<> EIGEN_STRONG_INLINE Packet2cd padd<Packet2cd>(const Packet2cd& a, const Packet2cd& b) { return Packet2cd(_mm256_add_pd(a.v,b.v)); }
234template<> EIGEN_STRONG_INLINE Packet2cd psub<Packet2cd>(const Packet2cd& a, const Packet2cd& b) { return Packet2cd(_mm256_sub_pd(a.v,b.v)); }
235template<> EIGEN_STRONG_INLINE Packet2cd pnegate(const Packet2cd& a) { return Packet2cd(pnegate(a.v)); }
236template<> EIGEN_STRONG_INLINE Packet2cd pconj(const Packet2cd& a)
237{
238 const __m256d mask = _mm256_castsi256_pd(_mm256_set_epi32(0x80000000,0x0,0x0,0x0,0x80000000,0x0,0x0,0x0));
239 return Packet2cd(_mm256_xor_pd(a.v,mask));
240}
241
242template<> EIGEN_STRONG_INLINE Packet2cd pmul<Packet2cd>(const Packet2cd& a, const Packet2cd& b)
243{
244 __m256d tmp1 = _mm256_shuffle_pd(a.v,a.v,0x0);
245 __m256d even = _mm256_mul_pd(tmp1, b.v);
246 __m256d tmp2 = _mm256_shuffle_pd(a.v,a.v,0xF);
247 __m256d tmp3 = _mm256_shuffle_pd(b.v,b.v,0x5);
248 __m256d odd = _mm256_mul_pd(tmp2, tmp3);
249 return Packet2cd(_mm256_addsub_pd(even, odd));
250}
251
252template <>
253EIGEN_STRONG_INLINE Packet2cd pcmp_eq(const Packet2cd& a, const Packet2cd& b) {
254 __m256d eq = _mm256_cmp_pd(a.v, b.v, _CMP_EQ_OQ);
255 return Packet2cd(pand(eq, _mm256_permute_pd(eq, 0x5)));
256}
257
258template<> EIGEN_STRONG_INLINE Packet2cd ptrue<Packet2cd>(const Packet2cd& a) { return Packet2cd(ptrue(Packet4d(a.v))); }
259template<> EIGEN_STRONG_INLINE Packet2cd pand <Packet2cd>(const Packet2cd& a, const Packet2cd& b) { return Packet2cd(_mm256_and_pd(a.v,b.v)); }
260template<> EIGEN_STRONG_INLINE Packet2cd por <Packet2cd>(const Packet2cd& a, const Packet2cd& b) { return Packet2cd(_mm256_or_pd(a.v,b.v)); }
261template<> EIGEN_STRONG_INLINE Packet2cd pxor <Packet2cd>(const Packet2cd& a, const Packet2cd& b) { return Packet2cd(_mm256_xor_pd(a.v,b.v)); }
262template<> EIGEN_STRONG_INLINE Packet2cd pandnot<Packet2cd>(const Packet2cd& a, const Packet2cd& b) { return Packet2cd(_mm256_andnot_pd(b.v,a.v)); }
263
264template<> EIGEN_STRONG_INLINE Packet2cd pload <Packet2cd>(const std::complex<double>* from)
265{ EIGEN_DEBUG_ALIGNED_LOAD return Packet2cd(pload<Packet4d>((const double*)from)); }
266template<> EIGEN_STRONG_INLINE Packet2cd ploadu<Packet2cd>(const std::complex<double>* from)
267{ EIGEN_DEBUG_UNALIGNED_LOAD return Packet2cd(ploadu<Packet4d>((const double*)from)); }
268
269template<> EIGEN_STRONG_INLINE Packet2cd pset1<Packet2cd>(const std::complex<double>& from)
270{
271 // in case casting to a __m128d* is really not safe, then we can still fallback to this version: (much slower though)
272// return Packet2cd(_mm256_loadu2_m128d((const double*)&from,(const double*)&from));
273 return Packet2cd(_mm256_broadcast_pd((const __m128d*)(const void*)&from));
274}
275
276template<> EIGEN_STRONG_INLINE Packet2cd ploaddup<Packet2cd>(const std::complex<double>* from) { return pset1<Packet2cd>(*from); }
277
278template<> EIGEN_STRONG_INLINE void pstore <std::complex<double> >(std::complex<double> * to, const Packet2cd& from) { EIGEN_DEBUG_ALIGNED_STORE pstore((double*)to, from.v); }
279template<> EIGEN_STRONG_INLINE void pstoreu<std::complex<double> >(std::complex<double> * to, const Packet2cd& from) { EIGEN_DEBUG_UNALIGNED_STORE pstoreu((double*)to, from.v); }
280
281template<> EIGEN_DEVICE_FUNC inline Packet2cd pgather<std::complex<double>, Packet2cd>(const std::complex<double>* from, Index stride)
282{
283 return Packet2cd(_mm256_set_pd(std::imag(from[1*stride]), std::real(from[1*stride]),
284 std::imag(from[0*stride]), std::real(from[0*stride])));
285}
286
287template<> EIGEN_DEVICE_FUNC inline void pscatter<std::complex<double>, Packet2cd>(std::complex<double>* to, const Packet2cd& from, Index stride)
288{
289 __m128d low = _mm256_extractf128_pd(from.v, 0);
290 to[stride*0] = std::complex<double>(_mm_cvtsd_f64(low), _mm_cvtsd_f64(_mm_shuffle_pd(low, low, 1)));
291 __m128d high = _mm256_extractf128_pd(from.v, 1);
292 to[stride*1] = std::complex<double>(_mm_cvtsd_f64(high), _mm_cvtsd_f64(_mm_shuffle_pd(high, high, 1)));
293}
294
295template<> EIGEN_STRONG_INLINE std::complex<double> pfirst<Packet2cd>(const Packet2cd& a)
296{
297 __m128d low = _mm256_extractf128_pd(a.v, 0);
298 EIGEN_ALIGN16 double res[2];
299 _mm_store_pd(res, low);
300 return std::complex<double>(res[0],res[1]);
301}
302
303template<> EIGEN_STRONG_INLINE Packet2cd preverse(const Packet2cd& a) {
304 __m256d result = _mm256_permute2f128_pd(a.v, a.v, 1);
305 return Packet2cd(result);
306}
307
308template<> EIGEN_STRONG_INLINE std::complex<double> predux<Packet2cd>(const Packet2cd& a)
309{
310 return predux(padd(Packet1cd(_mm256_extractf128_pd(a.v,0)),
311 Packet1cd(_mm256_extractf128_pd(a.v,1))));
312}
313
314template<> EIGEN_STRONG_INLINE std::complex<double> predux_mul<Packet2cd>(const Packet2cd& a)
315{
316 return predux(pmul(Packet1cd(_mm256_extractf128_pd(a.v,0)),
317 Packet1cd(_mm256_extractf128_pd(a.v,1))));
318}
319
320EIGEN_MAKE_CONJ_HELPER_CPLX_REAL(Packet2cd,Packet4d)
321
322template<> EIGEN_STRONG_INLINE Packet2cd pdiv<Packet2cd>(const Packet2cd& a, const Packet2cd& b)
323{
324 Packet2cd num = pmul(a, pconj(b));
325 __m256d tmp = _mm256_mul_pd(b.v, b.v);
326 __m256d denom = _mm256_hadd_pd(tmp, tmp);
327 return Packet2cd(_mm256_div_pd(num.v, denom));
328}
329
330template<> EIGEN_STRONG_INLINE Packet2cd pcplxflip<Packet2cd>(const Packet2cd& x)
331{
332 return Packet2cd(_mm256_shuffle_pd(x.v, x.v, 0x5));
333}
334
335EIGEN_DEVICE_FUNC inline void
336ptranspose(PacketBlock<Packet4cf,4>& kernel) {
337 __m256d P0 = _mm256_castps_pd(kernel.packet[0].v);
338 __m256d P1 = _mm256_castps_pd(kernel.packet[1].v);
339 __m256d P2 = _mm256_castps_pd(kernel.packet[2].v);
340 __m256d P3 = _mm256_castps_pd(kernel.packet[3].v);
341
342 __m256d T0 = _mm256_shuffle_pd(P0, P1, 15);
343 __m256d T1 = _mm256_shuffle_pd(P0, P1, 0);
344 __m256d T2 = _mm256_shuffle_pd(P2, P3, 15);
345 __m256d T3 = _mm256_shuffle_pd(P2, P3, 0);
346
347 kernel.packet[1].v = _mm256_castpd_ps(_mm256_permute2f128_pd(T0, T2, 32));
348 kernel.packet[3].v = _mm256_castpd_ps(_mm256_permute2f128_pd(T0, T2, 49));
349 kernel.packet[0].v = _mm256_castpd_ps(_mm256_permute2f128_pd(T1, T3, 32));
350 kernel.packet[2].v = _mm256_castpd_ps(_mm256_permute2f128_pd(T1, T3, 49));
351}
352
353EIGEN_DEVICE_FUNC inline void
354ptranspose(PacketBlock<Packet2cd,2>& kernel) {
355 __m256d tmp = _mm256_permute2f128_pd(kernel.packet[0].v, kernel.packet[1].v, 0+(2<<4));
356 kernel.packet[1].v = _mm256_permute2f128_pd(kernel.packet[0].v, kernel.packet[1].v, 1+(3<<4));
357 kernel.packet[0].v = tmp;
358}
359
360template<> EIGEN_STRONG_INLINE Packet2cd psqrt<Packet2cd>(const Packet2cd& a) {
361 return psqrt_complex<Packet2cd>(a);
362}
363
364template<> EIGEN_STRONG_INLINE Packet4cf psqrt<Packet4cf>(const Packet4cf& a) {
365 return psqrt_complex<Packet4cf>(a);
366}
367
368} // end namespace internal
369
370} // end namespace Eigen
371
372#endif // EIGEN_COMPLEX_AVX_H
@ Aligned32
Definition: Constants.h:236
Namespace containing all symbols from the Eigen library.
Definition: Core:141
EIGEN_DEFAULT_DENSE_INDEX_TYPE Index
The Index type as used for the API.
Definition: Meta.h:74