Eigen  3.3.9
 
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PacketMath.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_PACKET_MATH_AVX_H
11#define EIGEN_PACKET_MATH_AVX_H
12
13namespace Eigen {
14
15namespace internal {
16
17#ifndef EIGEN_CACHEFRIENDLY_PRODUCT_THRESHOLD
18#define EIGEN_CACHEFRIENDLY_PRODUCT_THRESHOLD 8
19#endif
20
21#ifndef EIGEN_ARCH_DEFAULT_NUMBER_OF_REGISTERS
22#define EIGEN_ARCH_DEFAULT_NUMBER_OF_REGISTERS (2*sizeof(void*))
23#endif
24
25#ifdef __FMA__
26#ifndef EIGEN_HAS_SINGLE_INSTRUCTION_MADD
27#define EIGEN_HAS_SINGLE_INSTRUCTION_MADD
28#endif
29#endif
30
31typedef __m256 Packet8f;
32typedef __m256i Packet8i;
33typedef __m256d Packet4d;
34
35template<> struct is_arithmetic<__m256> { enum { value = true }; };
36template<> struct is_arithmetic<__m256i> { enum { value = true }; };
37template<> struct is_arithmetic<__m256d> { enum { value = true }; };
38
39#define _EIGEN_DECLARE_CONST_Packet8f(NAME,X) \
40 const Packet8f p8f_##NAME = pset1<Packet8f>(X)
41
42#define _EIGEN_DECLARE_CONST_Packet4d(NAME,X) \
43 const Packet4d p4d_##NAME = pset1<Packet4d>(X)
44
45#define _EIGEN_DECLARE_CONST_Packet8f_FROM_INT(NAME,X) \
46 const Packet8f p8f_##NAME = _mm256_castsi256_ps(pset1<Packet8i>(X))
47
48#define _EIGEN_DECLARE_CONST_Packet8i(NAME,X) \
49 const Packet8i p8i_##NAME = pset1<Packet8i>(X)
50
51// Use the packet_traits defined in AVX512/PacketMath.h instead if we're going
52// to leverage AVX512 instructions.
53#ifndef EIGEN_VECTORIZE_AVX512
54template<> struct packet_traits<float> : default_packet_traits
55{
56 typedef Packet8f type;
57 typedef Packet4f half;
58 enum {
59 Vectorizable = 1,
60 AlignedOnScalar = 1,
61 size=8,
62 HasHalfPacket = 1,
63
64 HasDiv = 1,
65 HasSin = EIGEN_FAST_MATH,
66 HasCos = 0,
67 HasLog = 1,
68 HasExp = 1,
69 HasSqrt = 1,
70 HasRsqrt = 1,
71 HasTanh = EIGEN_FAST_MATH,
72 HasBlend = 1,
73 HasRound = 1,
74 HasFloor = 1,
75 HasCeil = 1
76 };
77};
78template<> struct packet_traits<double> : default_packet_traits
79{
80 typedef Packet4d type;
81 typedef Packet2d half;
82 enum {
83 Vectorizable = 1,
84 AlignedOnScalar = 1,
85 size=4,
86 HasHalfPacket = 1,
87
88 HasDiv = 1,
89 HasExp = 1,
90 HasSqrt = 1,
91 HasRsqrt = 1,
92 HasBlend = 1,
93 HasRound = 1,
94 HasFloor = 1,
95 HasCeil = 1
96 };
97};
98#endif
99
100template<> struct scalar_div_cost<float,true> { enum { value = 14 }; };
101template<> struct scalar_div_cost<double,true> { enum { value = 16 }; };
102
103/* Proper support for integers is only provided by AVX2. In the meantime, we'll
104 use SSE instructions and packets to deal with integers.
105template<> struct packet_traits<int> : default_packet_traits
106{
107 typedef Packet8i type;
108 enum {
109 Vectorizable = 1,
110 AlignedOnScalar = 1,
111 size=8
112 };
113};
114*/
115
116template<> struct unpacket_traits<Packet8f> { typedef float type; typedef Packet4f half; enum {size=8, alignment=Aligned32}; };
117template<> struct unpacket_traits<Packet4d> { typedef double type; typedef Packet2d half; enum {size=4, alignment=Aligned32}; };
118template<> struct unpacket_traits<Packet8i> { typedef int type; typedef Packet4i half; enum {size=8, alignment=Aligned32}; };
119
120template<> EIGEN_STRONG_INLINE Packet8f pset1<Packet8f>(const float& from) { return _mm256_set1_ps(from); }
121template<> EIGEN_STRONG_INLINE Packet4d pset1<Packet4d>(const double& from) { return _mm256_set1_pd(from); }
122template<> EIGEN_STRONG_INLINE Packet8i pset1<Packet8i>(const int& from) { return _mm256_set1_epi32(from); }
123
124template<> EIGEN_STRONG_INLINE Packet8f pload1<Packet8f>(const float* from) { return _mm256_broadcast_ss(from); }
125template<> EIGEN_STRONG_INLINE Packet4d pload1<Packet4d>(const double* from) { return _mm256_broadcast_sd(from); }
126
127template<> EIGEN_STRONG_INLINE Packet8f plset<Packet8f>(const float& a) { return _mm256_add_ps(_mm256_set1_ps(a), _mm256_set_ps(7.0,6.0,5.0,4.0,3.0,2.0,1.0,0.0)); }
128template<> EIGEN_STRONG_INLINE Packet4d plset<Packet4d>(const double& a) { return _mm256_add_pd(_mm256_set1_pd(a), _mm256_set_pd(3.0,2.0,1.0,0.0)); }
129
130template<> EIGEN_STRONG_INLINE Packet8f padd<Packet8f>(const Packet8f& a, const Packet8f& b) { return _mm256_add_ps(a,b); }
131template<> EIGEN_STRONG_INLINE Packet4d padd<Packet4d>(const Packet4d& a, const Packet4d& b) { return _mm256_add_pd(a,b); }
132
133template<> EIGEN_STRONG_INLINE Packet8f psub<Packet8f>(const Packet8f& a, const Packet8f& b) { return _mm256_sub_ps(a,b); }
134template<> EIGEN_STRONG_INLINE Packet4d psub<Packet4d>(const Packet4d& a, const Packet4d& b) { return _mm256_sub_pd(a,b); }
135
136template<> EIGEN_STRONG_INLINE Packet8f pnegate(const Packet8f& a)
137{
138 return _mm256_sub_ps(_mm256_set1_ps(0.0),a);
139}
140template<> EIGEN_STRONG_INLINE Packet4d pnegate(const Packet4d& a)
141{
142 return _mm256_sub_pd(_mm256_set1_pd(0.0),a);
143}
144
145template<> EIGEN_STRONG_INLINE Packet8f pconj(const Packet8f& a) { return a; }
146template<> EIGEN_STRONG_INLINE Packet4d pconj(const Packet4d& a) { return a; }
147template<> EIGEN_STRONG_INLINE Packet8i pconj(const Packet8i& a) { return a; }
148
149template<> EIGEN_STRONG_INLINE Packet8f pmul<Packet8f>(const Packet8f& a, const Packet8f& b) { return _mm256_mul_ps(a,b); }
150template<> EIGEN_STRONG_INLINE Packet4d pmul<Packet4d>(const Packet4d& a, const Packet4d& b) { return _mm256_mul_pd(a,b); }
151
152
153template<> EIGEN_STRONG_INLINE Packet8f pdiv<Packet8f>(const Packet8f& a, const Packet8f& b) { return _mm256_div_ps(a,b); }
154template<> EIGEN_STRONG_INLINE Packet4d pdiv<Packet4d>(const Packet4d& a, const Packet4d& b) { return _mm256_div_pd(a,b); }
155template<> EIGEN_STRONG_INLINE Packet8i pdiv<Packet8i>(const Packet8i& /*a*/, const Packet8i& /*b*/)
156{ eigen_assert(false && "packet integer division are not supported by AVX");
157 return pset1<Packet8i>(0);
158}
159
160#ifdef __FMA__
161template<> EIGEN_STRONG_INLINE Packet8f pmadd(const Packet8f& a, const Packet8f& b, const Packet8f& c) {
162#if ( (EIGEN_COMP_GNUC_STRICT && EIGEN_COMP_GNUC<80) || (EIGEN_COMP_CLANG) )
163 // Clang stupidly generates a vfmadd213ps instruction plus some vmovaps on registers,
164 // and even register spilling with clang>=6.0 (bug 1637).
165 // Gcc stupidly generates a vfmadd132ps instruction.
166 // So let's enforce it to generate a vfmadd231ps instruction since the most common use
167 // case is to accumulate the result of the product.
168 Packet8f res = c;
169 __asm__("vfmadd231ps %[a], %[b], %[c]" : [c] "+x" (res) : [a] "x" (a), [b] "x" (b));
170 return res;
171#else
172 return _mm256_fmadd_ps(a,b,c);
173#endif
174}
175template<> EIGEN_STRONG_INLINE Packet4d pmadd(const Packet4d& a, const Packet4d& b, const Packet4d& c) {
176#if ( (EIGEN_COMP_GNUC_STRICT && EIGEN_COMP_GNUC<80) || (EIGEN_COMP_CLANG) )
177 // see above
178 Packet4d res = c;
179 __asm__("vfmadd231pd %[a], %[b], %[c]" : [c] "+x" (res) : [a] "x" (a), [b] "x" (b));
180 return res;
181#else
182 return _mm256_fmadd_pd(a,b,c);
183#endif
184}
185#endif
186
187template<> EIGEN_STRONG_INLINE Packet8f pmin<Packet8f>(const Packet8f& a, const Packet8f& b) { return _mm256_min_ps(a,b); }
188template<> EIGEN_STRONG_INLINE Packet4d pmin<Packet4d>(const Packet4d& a, const Packet4d& b) { return _mm256_min_pd(a,b); }
189
190template<> EIGEN_STRONG_INLINE Packet8f pmax<Packet8f>(const Packet8f& a, const Packet8f& b) { return _mm256_max_ps(a,b); }
191template<> EIGEN_STRONG_INLINE Packet4d pmax<Packet4d>(const Packet4d& a, const Packet4d& b) { return _mm256_max_pd(a,b); }
192
193template<> EIGEN_STRONG_INLINE Packet8f pround<Packet8f>(const Packet8f& a) { return _mm256_round_ps(a, _MM_FROUND_CUR_DIRECTION); }
194template<> EIGEN_STRONG_INLINE Packet4d pround<Packet4d>(const Packet4d& a) { return _mm256_round_pd(a, _MM_FROUND_CUR_DIRECTION); }
195
196template<> EIGEN_STRONG_INLINE Packet8f pceil<Packet8f>(const Packet8f& a) { return _mm256_ceil_ps(a); }
197template<> EIGEN_STRONG_INLINE Packet4d pceil<Packet4d>(const Packet4d& a) { return _mm256_ceil_pd(a); }
198
199template<> EIGEN_STRONG_INLINE Packet8f pfloor<Packet8f>(const Packet8f& a) { return _mm256_floor_ps(a); }
200template<> EIGEN_STRONG_INLINE Packet4d pfloor<Packet4d>(const Packet4d& a) { return _mm256_floor_pd(a); }
201
202template<> EIGEN_STRONG_INLINE Packet8f pand<Packet8f>(const Packet8f& a, const Packet8f& b) { return _mm256_and_ps(a,b); }
203template<> EIGEN_STRONG_INLINE Packet4d pand<Packet4d>(const Packet4d& a, const Packet4d& b) { return _mm256_and_pd(a,b); }
204
205template<> EIGEN_STRONG_INLINE Packet8f por<Packet8f>(const Packet8f& a, const Packet8f& b) { return _mm256_or_ps(a,b); }
206template<> EIGEN_STRONG_INLINE Packet4d por<Packet4d>(const Packet4d& a, const Packet4d& b) { return _mm256_or_pd(a,b); }
207
208template<> EIGEN_STRONG_INLINE Packet8f pxor<Packet8f>(const Packet8f& a, const Packet8f& b) { return _mm256_xor_ps(a,b); }
209template<> EIGEN_STRONG_INLINE Packet4d pxor<Packet4d>(const Packet4d& a, const Packet4d& b) { return _mm256_xor_pd(a,b); }
210
211template<> EIGEN_STRONG_INLINE Packet8f pandnot<Packet8f>(const Packet8f& a, const Packet8f& b) { return _mm256_andnot_ps(a,b); }
212template<> EIGEN_STRONG_INLINE Packet4d pandnot<Packet4d>(const Packet4d& a, const Packet4d& b) { return _mm256_andnot_pd(a,b); }
213
214template<> EIGEN_STRONG_INLINE Packet8f pload<Packet8f>(const float* from) { EIGEN_DEBUG_ALIGNED_LOAD return _mm256_load_ps(from); }
215template<> EIGEN_STRONG_INLINE Packet4d pload<Packet4d>(const double* from) { EIGEN_DEBUG_ALIGNED_LOAD return _mm256_load_pd(from); }
216template<> EIGEN_STRONG_INLINE Packet8i pload<Packet8i>(const int* from) { EIGEN_DEBUG_ALIGNED_LOAD return _mm256_load_si256(reinterpret_cast<const __m256i*>(from)); }
217
218template<> EIGEN_STRONG_INLINE Packet8f ploadu<Packet8f>(const float* from) { EIGEN_DEBUG_UNALIGNED_LOAD return _mm256_loadu_ps(from); }
219template<> EIGEN_STRONG_INLINE Packet4d ploadu<Packet4d>(const double* from) { EIGEN_DEBUG_UNALIGNED_LOAD return _mm256_loadu_pd(from); }
220template<> EIGEN_STRONG_INLINE Packet8i ploadu<Packet8i>(const int* from) { EIGEN_DEBUG_UNALIGNED_LOAD return _mm256_loadu_si256(reinterpret_cast<const __m256i*>(from)); }
221
222// Loads 4 floats from memory a returns the packet {a0, a0 a1, a1, a2, a2, a3, a3}
223template<> EIGEN_STRONG_INLINE Packet8f ploaddup<Packet8f>(const float* from)
224{
225 // TODO try to find a way to avoid the need of a temporary register
226// Packet8f tmp = _mm256_castps128_ps256(_mm_loadu_ps(from));
227// tmp = _mm256_insertf128_ps(tmp, _mm_movehl_ps(_mm256_castps256_ps128(tmp),_mm256_castps256_ps128(tmp)), 1);
228// return _mm256_unpacklo_ps(tmp,tmp);
229
230 // _mm256_insertf128_ps is very slow on Haswell, thus:
231 Packet8f tmp = _mm256_broadcast_ps((const __m128*)(const void*)from);
232 // mimic an "inplace" permutation of the lower 128bits using a blend
233 tmp = _mm256_blend_ps(tmp,_mm256_castps128_ps256(_mm_permute_ps( _mm256_castps256_ps128(tmp), _MM_SHUFFLE(1,0,1,0))), 15);
234 // then we can perform a consistent permutation on the global register to get everything in shape:
235 return _mm256_permute_ps(tmp, _MM_SHUFFLE(3,3,2,2));
236}
237// Loads 2 doubles from memory a returns the packet {a0, a0 a1, a1}
238template<> EIGEN_STRONG_INLINE Packet4d ploaddup<Packet4d>(const double* from)
239{
240 Packet4d tmp = _mm256_broadcast_pd((const __m128d*)(const void*)from);
241 return _mm256_permute_pd(tmp, 3<<2);
242}
243
244// Loads 2 floats from memory a returns the packet {a0, a0 a0, a0, a1, a1, a1, a1}
245template<> EIGEN_STRONG_INLINE Packet8f ploadquad<Packet8f>(const float* from)
246{
247 Packet8f tmp = _mm256_castps128_ps256(_mm_broadcast_ss(from));
248 return _mm256_insertf128_ps(tmp, _mm_broadcast_ss(from+1), 1);
249}
250
251template<> EIGEN_STRONG_INLINE void pstore<float>(float* to, const Packet8f& from) { EIGEN_DEBUG_ALIGNED_STORE _mm256_store_ps(to, from); }
252template<> EIGEN_STRONG_INLINE void pstore<double>(double* to, const Packet4d& from) { EIGEN_DEBUG_ALIGNED_STORE _mm256_store_pd(to, from); }
253template<> EIGEN_STRONG_INLINE void pstore<int>(int* to, const Packet8i& from) { EIGEN_DEBUG_ALIGNED_STORE _mm256_storeu_si256(reinterpret_cast<__m256i*>(to), from); }
254
255template<> EIGEN_STRONG_INLINE void pstoreu<float>(float* to, const Packet8f& from) { EIGEN_DEBUG_UNALIGNED_STORE _mm256_storeu_ps(to, from); }
256template<> EIGEN_STRONG_INLINE void pstoreu<double>(double* to, const Packet4d& from) { EIGEN_DEBUG_UNALIGNED_STORE _mm256_storeu_pd(to, from); }
257template<> EIGEN_STRONG_INLINE void pstoreu<int>(int* to, const Packet8i& from) { EIGEN_DEBUG_UNALIGNED_STORE _mm256_storeu_si256(reinterpret_cast<__m256i*>(to), from); }
258
259// NOTE: leverage _mm256_i32gather_ps and _mm256_i32gather_pd if AVX2 instructions are available
260// NOTE: for the record the following seems to be slower: return _mm256_i32gather_ps(from, _mm256_set1_epi32(stride), 4);
261template<> EIGEN_DEVICE_FUNC inline Packet8f pgather<float, Packet8f>(const float* from, Index stride)
262{
263 return _mm256_set_ps(from[7*stride], from[6*stride], from[5*stride], from[4*stride],
264 from[3*stride], from[2*stride], from[1*stride], from[0*stride]);
265}
266template<> EIGEN_DEVICE_FUNC inline Packet4d pgather<double, Packet4d>(const double* from, Index stride)
267{
268 return _mm256_set_pd(from[3*stride], from[2*stride], from[1*stride], from[0*stride]);
269}
270
271template<> EIGEN_DEVICE_FUNC inline void pscatter<float, Packet8f>(float* to, const Packet8f& from, Index stride)
272{
273 __m128 low = _mm256_extractf128_ps(from, 0);
274 to[stride*0] = _mm_cvtss_f32(low);
275 to[stride*1] = _mm_cvtss_f32(_mm_shuffle_ps(low, low, 1));
276 to[stride*2] = _mm_cvtss_f32(_mm_shuffle_ps(low, low, 2));
277 to[stride*3] = _mm_cvtss_f32(_mm_shuffle_ps(low, low, 3));
278
279 __m128 high = _mm256_extractf128_ps(from, 1);
280 to[stride*4] = _mm_cvtss_f32(high);
281 to[stride*5] = _mm_cvtss_f32(_mm_shuffle_ps(high, high, 1));
282 to[stride*6] = _mm_cvtss_f32(_mm_shuffle_ps(high, high, 2));
283 to[stride*7] = _mm_cvtss_f32(_mm_shuffle_ps(high, high, 3));
284}
285template<> EIGEN_DEVICE_FUNC inline void pscatter<double, Packet4d>(double* to, const Packet4d& from, Index stride)
286{
287 __m128d low = _mm256_extractf128_pd(from, 0);
288 to[stride*0] = _mm_cvtsd_f64(low);
289 to[stride*1] = _mm_cvtsd_f64(_mm_shuffle_pd(low, low, 1));
290 __m128d high = _mm256_extractf128_pd(from, 1);
291 to[stride*2] = _mm_cvtsd_f64(high);
292 to[stride*3] = _mm_cvtsd_f64(_mm_shuffle_pd(high, high, 1));
293}
294
295template<> EIGEN_STRONG_INLINE void pstore1<Packet8f>(float* to, const float& a)
296{
297 Packet8f pa = pset1<Packet8f>(a);
298 pstore(to, pa);
299}
300template<> EIGEN_STRONG_INLINE void pstore1<Packet4d>(double* to, const double& a)
301{
302 Packet4d pa = pset1<Packet4d>(a);
303 pstore(to, pa);
304}
305template<> EIGEN_STRONG_INLINE void pstore1<Packet8i>(int* to, const int& a)
306{
307 Packet8i pa = pset1<Packet8i>(a);
308 pstore(to, pa);
309}
310
311#ifndef EIGEN_VECTORIZE_AVX512
312template<> EIGEN_STRONG_INLINE void prefetch<float>(const float* addr) { _mm_prefetch((SsePrefetchPtrType)(addr), _MM_HINT_T0); }
313template<> EIGEN_STRONG_INLINE void prefetch<double>(const double* addr) { _mm_prefetch((SsePrefetchPtrType)(addr), _MM_HINT_T0); }
314template<> EIGEN_STRONG_INLINE void prefetch<int>(const int* addr) { _mm_prefetch((SsePrefetchPtrType)(addr), _MM_HINT_T0); }
315#endif
316
317template<> EIGEN_STRONG_INLINE float pfirst<Packet8f>(const Packet8f& a) {
318 return _mm_cvtss_f32(_mm256_castps256_ps128(a));
319}
320template<> EIGEN_STRONG_INLINE double pfirst<Packet4d>(const Packet4d& a) {
321 return _mm_cvtsd_f64(_mm256_castpd256_pd128(a));
322}
323template<> EIGEN_STRONG_INLINE int pfirst<Packet8i>(const Packet8i& a) {
324 return _mm_cvtsi128_si32(_mm256_castsi256_si128(a));
325}
326
327
328template<> EIGEN_STRONG_INLINE Packet8f preverse(const Packet8f& a)
329{
330 __m256 tmp = _mm256_shuffle_ps(a,a,0x1b);
331 return _mm256_permute2f128_ps(tmp, tmp, 1);
332}
333template<> EIGEN_STRONG_INLINE Packet4d preverse(const Packet4d& a)
334{
335 __m256d tmp = _mm256_shuffle_pd(a,a,5);
336 return _mm256_permute2f128_pd(tmp, tmp, 1);
337 #if 0
338 // This version is unlikely to be faster as _mm256_shuffle_ps and _mm256_permute_pd
339 // exhibit the same latency/throughput, but it is here for future reference/benchmarking...
340 __m256d swap_halves = _mm256_permute2f128_pd(a,a,1);
341 return _mm256_permute_pd(swap_halves,5);
342 #endif
343}
344
345// pabs should be ok
346template<> EIGEN_STRONG_INLINE Packet8f pabs(const Packet8f& a)
347{
348 const Packet8f mask = _mm256_castsi256_ps(_mm256_setr_epi32(0x7FFFFFFF,0x7FFFFFFF,0x7FFFFFFF,0x7FFFFFFF,0x7FFFFFFF,0x7FFFFFFF,0x7FFFFFFF,0x7FFFFFFF));
349 return _mm256_and_ps(a,mask);
350}
351template<> EIGEN_STRONG_INLINE Packet4d pabs(const Packet4d& a)
352{
353 const Packet4d mask = _mm256_castsi256_pd(_mm256_setr_epi32(0xFFFFFFFF,0x7FFFFFFF,0xFFFFFFFF,0x7FFFFFFF,0xFFFFFFFF,0x7FFFFFFF,0xFFFFFFFF,0x7FFFFFFF));
354 return _mm256_and_pd(a,mask);
355}
356
357// preduxp should be ok
358// FIXME: why is this ok? why isn't the simply implementation working as expected?
359template<> EIGEN_STRONG_INLINE Packet8f preduxp<Packet8f>(const Packet8f* vecs)
360{
361 __m256 hsum1 = _mm256_hadd_ps(vecs[0], vecs[1]);
362 __m256 hsum2 = _mm256_hadd_ps(vecs[2], vecs[3]);
363 __m256 hsum3 = _mm256_hadd_ps(vecs[4], vecs[5]);
364 __m256 hsum4 = _mm256_hadd_ps(vecs[6], vecs[7]);
365
366 __m256 hsum5 = _mm256_hadd_ps(hsum1, hsum1);
367 __m256 hsum6 = _mm256_hadd_ps(hsum2, hsum2);
368 __m256 hsum7 = _mm256_hadd_ps(hsum3, hsum3);
369 __m256 hsum8 = _mm256_hadd_ps(hsum4, hsum4);
370
371 __m256 perm1 = _mm256_permute2f128_ps(hsum5, hsum5, 0x23);
372 __m256 perm2 = _mm256_permute2f128_ps(hsum6, hsum6, 0x23);
373 __m256 perm3 = _mm256_permute2f128_ps(hsum7, hsum7, 0x23);
374 __m256 perm4 = _mm256_permute2f128_ps(hsum8, hsum8, 0x23);
375
376 __m256 sum1 = _mm256_add_ps(perm1, hsum5);
377 __m256 sum2 = _mm256_add_ps(perm2, hsum6);
378 __m256 sum3 = _mm256_add_ps(perm3, hsum7);
379 __m256 sum4 = _mm256_add_ps(perm4, hsum8);
380
381 __m256 blend1 = _mm256_blend_ps(sum1, sum2, 0xcc);
382 __m256 blend2 = _mm256_blend_ps(sum3, sum4, 0xcc);
383
384 __m256 final = _mm256_blend_ps(blend1, blend2, 0xf0);
385 return final;
386}
387template<> EIGEN_STRONG_INLINE Packet4d preduxp<Packet4d>(const Packet4d* vecs)
388{
389 Packet4d tmp0, tmp1;
390
391 tmp0 = _mm256_hadd_pd(vecs[0], vecs[1]);
392 tmp0 = _mm256_add_pd(tmp0, _mm256_permute2f128_pd(tmp0, tmp0, 1));
393
394 tmp1 = _mm256_hadd_pd(vecs[2], vecs[3]);
395 tmp1 = _mm256_add_pd(tmp1, _mm256_permute2f128_pd(tmp1, tmp1, 1));
396
397 return _mm256_blend_pd(tmp0, tmp1, 0xC);
398}
399
400template<> EIGEN_STRONG_INLINE float predux<Packet8f>(const Packet8f& a)
401{
402 return predux(Packet4f(_mm_add_ps(_mm256_castps256_ps128(a),_mm256_extractf128_ps(a,1))));
403}
404template<> EIGEN_STRONG_INLINE double predux<Packet4d>(const Packet4d& a)
405{
406 return predux(Packet2d(_mm_add_pd(_mm256_castpd256_pd128(a),_mm256_extractf128_pd(a,1))));
407}
408
409template<> EIGEN_STRONG_INLINE Packet4f predux_downto4<Packet8f>(const Packet8f& a)
410{
411 return _mm_add_ps(_mm256_castps256_ps128(a),_mm256_extractf128_ps(a,1));
412}
413
414template<> EIGEN_STRONG_INLINE float predux_mul<Packet8f>(const Packet8f& a)
415{
416 Packet8f tmp;
417 tmp = _mm256_mul_ps(a, _mm256_permute2f128_ps(a,a,1));
418 tmp = _mm256_mul_ps(tmp, _mm256_shuffle_ps(tmp,tmp,_MM_SHUFFLE(1,0,3,2)));
419 return pfirst(_mm256_mul_ps(tmp, _mm256_shuffle_ps(tmp,tmp,1)));
420}
421template<> EIGEN_STRONG_INLINE double predux_mul<Packet4d>(const Packet4d& a)
422{
423 Packet4d tmp;
424 tmp = _mm256_mul_pd(a, _mm256_permute2f128_pd(a,a,1));
425 return pfirst(_mm256_mul_pd(tmp, _mm256_shuffle_pd(tmp,tmp,1)));
426}
427
428template<> EIGEN_STRONG_INLINE float predux_min<Packet8f>(const Packet8f& a)
429{
430 Packet8f tmp = _mm256_min_ps(a, _mm256_permute2f128_ps(a,a,1));
431 tmp = _mm256_min_ps(tmp, _mm256_shuffle_ps(tmp,tmp,_MM_SHUFFLE(1,0,3,2)));
432 return pfirst(_mm256_min_ps(tmp, _mm256_shuffle_ps(tmp,tmp,1)));
433}
434template<> EIGEN_STRONG_INLINE double predux_min<Packet4d>(const Packet4d& a)
435{
436 Packet4d tmp = _mm256_min_pd(a, _mm256_permute2f128_pd(a,a,1));
437 return pfirst(_mm256_min_pd(tmp, _mm256_shuffle_pd(tmp, tmp, 1)));
438}
439
440template<> EIGEN_STRONG_INLINE float predux_max<Packet8f>(const Packet8f& a)
441{
442 Packet8f tmp = _mm256_max_ps(a, _mm256_permute2f128_ps(a,a,1));
443 tmp = _mm256_max_ps(tmp, _mm256_shuffle_ps(tmp,tmp,_MM_SHUFFLE(1,0,3,2)));
444 return pfirst(_mm256_max_ps(tmp, _mm256_shuffle_ps(tmp,tmp,1)));
445}
446
447template<> EIGEN_STRONG_INLINE double predux_max<Packet4d>(const Packet4d& a)
448{
449 Packet4d tmp = _mm256_max_pd(a, _mm256_permute2f128_pd(a,a,1));
450 return pfirst(_mm256_max_pd(tmp, _mm256_shuffle_pd(tmp, tmp, 1)));
451}
452
453
454template<int Offset>
455struct palign_impl<Offset,Packet8f>
456{
457 static EIGEN_STRONG_INLINE void run(Packet8f& first, const Packet8f& second)
458 {
459 if (Offset==1)
460 {
461 first = _mm256_blend_ps(first, second, 1);
462 Packet8f tmp1 = _mm256_permute_ps (first, _MM_SHUFFLE(0,3,2,1));
463 Packet8f tmp2 = _mm256_permute2f128_ps (tmp1, tmp1, 1);
464 first = _mm256_blend_ps(tmp1, tmp2, 0x88);
465 }
466 else if (Offset==2)
467 {
468 first = _mm256_blend_ps(first, second, 3);
469 Packet8f tmp1 = _mm256_permute_ps (first, _MM_SHUFFLE(1,0,3,2));
470 Packet8f tmp2 = _mm256_permute2f128_ps (tmp1, tmp1, 1);
471 first = _mm256_blend_ps(tmp1, tmp2, 0xcc);
472 }
473 else if (Offset==3)
474 {
475 first = _mm256_blend_ps(first, second, 7);
476 Packet8f tmp1 = _mm256_permute_ps (first, _MM_SHUFFLE(2,1,0,3));
477 Packet8f tmp2 = _mm256_permute2f128_ps (tmp1, tmp1, 1);
478 first = _mm256_blend_ps(tmp1, tmp2, 0xee);
479 }
480 else if (Offset==4)
481 {
482 first = _mm256_blend_ps(first, second, 15);
483 Packet8f tmp1 = _mm256_permute_ps (first, _MM_SHUFFLE(3,2,1,0));
484 Packet8f tmp2 = _mm256_permute2f128_ps (tmp1, tmp1, 1);
485 first = _mm256_permute_ps(tmp2, _MM_SHUFFLE(3,2,1,0));
486 }
487 else if (Offset==5)
488 {
489 first = _mm256_blend_ps(first, second, 31);
490 first = _mm256_permute2f128_ps(first, first, 1);
491 Packet8f tmp = _mm256_permute_ps (first, _MM_SHUFFLE(0,3,2,1));
492 first = _mm256_permute2f128_ps(tmp, tmp, 1);
493 first = _mm256_blend_ps(tmp, first, 0x88);
494 }
495 else if (Offset==6)
496 {
497 first = _mm256_blend_ps(first, second, 63);
498 first = _mm256_permute2f128_ps(first, first, 1);
499 Packet8f tmp = _mm256_permute_ps (first, _MM_SHUFFLE(1,0,3,2));
500 first = _mm256_permute2f128_ps(tmp, tmp, 1);
501 first = _mm256_blend_ps(tmp, first, 0xcc);
502 }
503 else if (Offset==7)
504 {
505 first = _mm256_blend_ps(first, second, 127);
506 first = _mm256_permute2f128_ps(first, first, 1);
507 Packet8f tmp = _mm256_permute_ps (first, _MM_SHUFFLE(2,1,0,3));
508 first = _mm256_permute2f128_ps(tmp, tmp, 1);
509 first = _mm256_blend_ps(tmp, first, 0xee);
510 }
511 }
512};
513
514template<int Offset>
515struct palign_impl<Offset,Packet4d>
516{
517 static EIGEN_STRONG_INLINE void run(Packet4d& first, const Packet4d& second)
518 {
519 if (Offset==1)
520 {
521 first = _mm256_blend_pd(first, second, 1);
522 __m256d tmp = _mm256_permute_pd(first, 5);
523 first = _mm256_permute2f128_pd(tmp, tmp, 1);
524 first = _mm256_blend_pd(tmp, first, 0xA);
525 }
526 else if (Offset==2)
527 {
528 first = _mm256_blend_pd(first, second, 3);
529 first = _mm256_permute2f128_pd(first, first, 1);
530 }
531 else if (Offset==3)
532 {
533 first = _mm256_blend_pd(first, second, 7);
534 __m256d tmp = _mm256_permute_pd(first, 5);
535 first = _mm256_permute2f128_pd(tmp, tmp, 1);
536 first = _mm256_blend_pd(tmp, first, 5);
537 }
538 }
539};
540
541EIGEN_DEVICE_FUNC inline void
542ptranspose(PacketBlock<Packet8f,8>& kernel) {
543 __m256 T0 = _mm256_unpacklo_ps(kernel.packet[0], kernel.packet[1]);
544 __m256 T1 = _mm256_unpackhi_ps(kernel.packet[0], kernel.packet[1]);
545 __m256 T2 = _mm256_unpacklo_ps(kernel.packet[2], kernel.packet[3]);
546 __m256 T3 = _mm256_unpackhi_ps(kernel.packet[2], kernel.packet[3]);
547 __m256 T4 = _mm256_unpacklo_ps(kernel.packet[4], kernel.packet[5]);
548 __m256 T5 = _mm256_unpackhi_ps(kernel.packet[4], kernel.packet[5]);
549 __m256 T6 = _mm256_unpacklo_ps(kernel.packet[6], kernel.packet[7]);
550 __m256 T7 = _mm256_unpackhi_ps(kernel.packet[6], kernel.packet[7]);
551 __m256 S0 = _mm256_shuffle_ps(T0,T2,_MM_SHUFFLE(1,0,1,0));
552 __m256 S1 = _mm256_shuffle_ps(T0,T2,_MM_SHUFFLE(3,2,3,2));
553 __m256 S2 = _mm256_shuffle_ps(T1,T3,_MM_SHUFFLE(1,0,1,0));
554 __m256 S3 = _mm256_shuffle_ps(T1,T3,_MM_SHUFFLE(3,2,3,2));
555 __m256 S4 = _mm256_shuffle_ps(T4,T6,_MM_SHUFFLE(1,0,1,0));
556 __m256 S5 = _mm256_shuffle_ps(T4,T6,_MM_SHUFFLE(3,2,3,2));
557 __m256 S6 = _mm256_shuffle_ps(T5,T7,_MM_SHUFFLE(1,0,1,0));
558 __m256 S7 = _mm256_shuffle_ps(T5,T7,_MM_SHUFFLE(3,2,3,2));
559 kernel.packet[0] = _mm256_permute2f128_ps(S0, S4, 0x20);
560 kernel.packet[1] = _mm256_permute2f128_ps(S1, S5, 0x20);
561 kernel.packet[2] = _mm256_permute2f128_ps(S2, S6, 0x20);
562 kernel.packet[3] = _mm256_permute2f128_ps(S3, S7, 0x20);
563 kernel.packet[4] = _mm256_permute2f128_ps(S0, S4, 0x31);
564 kernel.packet[5] = _mm256_permute2f128_ps(S1, S5, 0x31);
565 kernel.packet[6] = _mm256_permute2f128_ps(S2, S6, 0x31);
566 kernel.packet[7] = _mm256_permute2f128_ps(S3, S7, 0x31);
567}
568
569EIGEN_DEVICE_FUNC inline void
570ptranspose(PacketBlock<Packet8f,4>& kernel) {
571 __m256 T0 = _mm256_unpacklo_ps(kernel.packet[0], kernel.packet[1]);
572 __m256 T1 = _mm256_unpackhi_ps(kernel.packet[0], kernel.packet[1]);
573 __m256 T2 = _mm256_unpacklo_ps(kernel.packet[2], kernel.packet[3]);
574 __m256 T3 = _mm256_unpackhi_ps(kernel.packet[2], kernel.packet[3]);
575
576 __m256 S0 = _mm256_shuffle_ps(T0,T2,_MM_SHUFFLE(1,0,1,0));
577 __m256 S1 = _mm256_shuffle_ps(T0,T2,_MM_SHUFFLE(3,2,3,2));
578 __m256 S2 = _mm256_shuffle_ps(T1,T3,_MM_SHUFFLE(1,0,1,0));
579 __m256 S3 = _mm256_shuffle_ps(T1,T3,_MM_SHUFFLE(3,2,3,2));
580
581 kernel.packet[0] = _mm256_permute2f128_ps(S0, S1, 0x20);
582 kernel.packet[1] = _mm256_permute2f128_ps(S2, S3, 0x20);
583 kernel.packet[2] = _mm256_permute2f128_ps(S0, S1, 0x31);
584 kernel.packet[3] = _mm256_permute2f128_ps(S2, S3, 0x31);
585}
586
587EIGEN_DEVICE_FUNC inline void
588ptranspose(PacketBlock<Packet4d,4>& kernel) {
589 __m256d T0 = _mm256_shuffle_pd(kernel.packet[0], kernel.packet[1], 15);
590 __m256d T1 = _mm256_shuffle_pd(kernel.packet[0], kernel.packet[1], 0);
591 __m256d T2 = _mm256_shuffle_pd(kernel.packet[2], kernel.packet[3], 15);
592 __m256d T3 = _mm256_shuffle_pd(kernel.packet[2], kernel.packet[3], 0);
593
594 kernel.packet[1] = _mm256_permute2f128_pd(T0, T2, 32);
595 kernel.packet[3] = _mm256_permute2f128_pd(T0, T2, 49);
596 kernel.packet[0] = _mm256_permute2f128_pd(T1, T3, 32);
597 kernel.packet[2] = _mm256_permute2f128_pd(T1, T3, 49);
598}
599
600template<> EIGEN_STRONG_INLINE Packet8f pblend(const Selector<8>& ifPacket, const Packet8f& thenPacket, const Packet8f& elsePacket) {
601 const __m256 zero = _mm256_setzero_ps();
602 const __m256 select = _mm256_set_ps(ifPacket.select[7], ifPacket.select[6], ifPacket.select[5], ifPacket.select[4], ifPacket.select[3], ifPacket.select[2], ifPacket.select[1], ifPacket.select[0]);
603 __m256 false_mask = _mm256_cmp_ps(select, zero, _CMP_EQ_UQ);
604 return _mm256_blendv_ps(thenPacket, elsePacket, false_mask);
605}
606template<> EIGEN_STRONG_INLINE Packet4d pblend(const Selector<4>& ifPacket, const Packet4d& thenPacket, const Packet4d& elsePacket) {
607 const __m256d zero = _mm256_setzero_pd();
608 const __m256d select = _mm256_set_pd(ifPacket.select[3], ifPacket.select[2], ifPacket.select[1], ifPacket.select[0]);
609 __m256d false_mask = _mm256_cmp_pd(select, zero, _CMP_EQ_UQ);
610 return _mm256_blendv_pd(thenPacket, elsePacket, false_mask);
611}
612
613template<> EIGEN_STRONG_INLINE Packet8f pinsertfirst(const Packet8f& a, float b)
614{
615 return _mm256_blend_ps(a,pset1<Packet8f>(b),1);
616}
617
618template<> EIGEN_STRONG_INLINE Packet4d pinsertfirst(const Packet4d& a, double b)
619{
620 return _mm256_blend_pd(a,pset1<Packet4d>(b),1);
621}
622
623template<> EIGEN_STRONG_INLINE Packet8f pinsertlast(const Packet8f& a, float b)
624{
625 return _mm256_blend_ps(a,pset1<Packet8f>(b),(1<<7));
626}
627
628template<> EIGEN_STRONG_INLINE Packet4d pinsertlast(const Packet4d& a, double b)
629{
630 return _mm256_blend_pd(a,pset1<Packet4d>(b),(1<<3));
631}
632
633} // end namespace internal
634
635} // end namespace Eigen
636
637#endif // EIGEN_PACKET_MATH_AVX_H
Eigen::Aligned32
@ Aligned32
Definition Constants.h:231
Eigen
Namespace containing all symbols from the Eigen library.
Definition A05_PortingFrom2To3.dox:1
Eigen::Index
EIGEN_DEFAULT_DENSE_INDEX_TYPE Index
The Index type as used for the API.
Definition Meta.h:65