AltiVec/PacketMath.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) 2008-2016 Konstantinos Margaritis <markos@freevec.org>
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_ALTIVEC_H
11 #define EIGEN_PACKET_MATH_ALTIVEC_H
12 
13 namespace Eigen {
14 
15 namespace internal {
16 
17 #ifndef EIGEN_CACHEFRIENDLY_PRODUCT_THRESHOLD
18 #define EIGEN_CACHEFRIENDLY_PRODUCT_THRESHOLD 4
19 #endif
20 
21 #ifndef EIGEN_HAS_SINGLE_INSTRUCTION_MADD
22 #define EIGEN_HAS_SINGLE_INSTRUCTION_MADD
23 #endif
24 
25 // NOTE Altivec has 32 registers, but Eigen only accepts a value of 8 or 16
26 #ifndef EIGEN_ARCH_DEFAULT_NUMBER_OF_REGISTERS
27 #define EIGEN_ARCH_DEFAULT_NUMBER_OF_REGISTERS 32
28 #endif
29 
30 typedef __vector float Packet4f;
31 typedef __vector int Packet4i;
32 typedef __vector unsigned int Packet4ui;
33 typedef __vector __bool int Packet4bi;
34 typedef __vector short int Packet8s;
35 typedef __vector unsigned short int Packet8us;
36 typedef __vector signed char Packet16c;
37 typedef __vector unsigned char Packet16uc;
38 typedef eigen_packet_wrapper<__vector unsigned short int,0> Packet8bf;
39 
40 // We don't want to write the same code all the time, but we need to reuse the constants
41 // and it doesn't really work to declare them global, so we define macros instead
42 #define _EIGEN_DECLARE_CONST_FAST_Packet4f(NAME,X) \
43  Packet4f p4f_##NAME = {X, X, X, X}
44 
45 #define _EIGEN_DECLARE_CONST_FAST_Packet4i(NAME,X) \
46  Packet4i p4i_##NAME = vec_splat_s32(X)
47 
48 #define _EIGEN_DECLARE_CONST_FAST_Packet4ui(NAME,X) \
49  Packet4ui p4ui_##NAME = {X, X, X, X}
50 
51 #define _EIGEN_DECLARE_CONST_FAST_Packet8us(NAME,X) \
52  Packet8us p8us_##NAME = {X, X, X, X, X, X, X, X}
53 
54 #define _EIGEN_DECLARE_CONST_FAST_Packet16uc(NAME,X) \
55  Packet16uc p16uc_##NAME = {X, X, X, X, X, X, X, X, X, X, X, X, X, X, X, X}
56 
57 #define _EIGEN_DECLARE_CONST_Packet4f(NAME,X) \
58  Packet4f p4f_##NAME = pset1<Packet4f>(X)
59 
60 #define _EIGEN_DECLARE_CONST_Packet4i(NAME,X) \
61  Packet4i p4i_##NAME = pset1<Packet4i>(X)
62 
63 #define _EIGEN_DECLARE_CONST_Packet2d(NAME,X) \
64  Packet2d p2d_##NAME = pset1<Packet2d>(X)
65 
66 #define _EIGEN_DECLARE_CONST_Packet2l(NAME,X) \
67  Packet2l p2l_##NAME = pset1<Packet2l>(X)
68 
69 #define _EIGEN_DECLARE_CONST_Packet4f_FROM_INT(NAME,X) \
70  const Packet4f p4f_##NAME = reinterpret_cast<Packet4f>(pset1<Packet4i>(X))
71 
72 #define DST_CHAN 1
73 #define DST_CTRL(size, count, stride) (((size) << 24) | ((count) << 16) | (stride))
74 #define __UNPACK_TYPE__(PACKETNAME) typename unpacket_traits<PACKETNAME>::type
75 
76 // These constants are endian-agnostic
77 static _EIGEN_DECLARE_CONST_FAST_Packet4f(ZERO, 0); //{ 0.0, 0.0, 0.0, 0.0}
78 static _EIGEN_DECLARE_CONST_FAST_Packet4i(ZERO, 0); //{ 0, 0, 0, 0,}
79 static _EIGEN_DECLARE_CONST_FAST_Packet4i(ONE,1); //{ 1, 1, 1, 1}
80 static _EIGEN_DECLARE_CONST_FAST_Packet4i(MINUS16,-16); //{ -16, -16, -16, -16}
81 static _EIGEN_DECLARE_CONST_FAST_Packet4i(MINUS1,-1); //{ -1, -1, -1, -1}
82 static _EIGEN_DECLARE_CONST_FAST_Packet4ui(SIGN, 0x80000000u);
83 static _EIGEN_DECLARE_CONST_FAST_Packet4ui(PREV0DOT5, 0x3EFFFFFFu);
84 static _EIGEN_DECLARE_CONST_FAST_Packet8us(ONE,1); //{ 1, 1, 1, 1, 1, 1, 1, 1}
85 static _EIGEN_DECLARE_CONST_FAST_Packet16uc(ONE,1);
86 static Packet4f p4f_MZERO = (Packet4f) vec_sl((Packet4ui)p4i_MINUS1, (Packet4ui)p4i_MINUS1); //{ 0x80000000, 0x80000000, 0x80000000, 0x80000000}
87 #ifndef __VSX__
88 static Packet4f p4f_ONE = vec_ctf(p4i_ONE, 0); //{ 1.0, 1.0, 1.0, 1.0}
89 #endif
90 
91 static Packet4f p4f_COUNTDOWN = { 0.0, 1.0, 2.0, 3.0 };
92 static Packet4i p4i_COUNTDOWN = { 0, 1, 2, 3 };
93 static Packet8s p8s_COUNTDOWN = { 0, 1, 2, 3, 4, 5, 6, 7 };
94 static Packet8us p8us_COUNTDOWN = { 0, 1, 2, 3, 4, 5, 6, 7 };
95 
96 static Packet16c p16c_COUNTDOWN = { 0, 1, 2, 3, 4, 5, 6, 7,
97  8, 9, 10, 11, 12, 13, 14, 15};
98 static Packet16uc p16uc_COUNTDOWN = { 0, 1, 2, 3, 4, 5, 6, 7,
99  8, 9, 10, 11, 12, 13, 14, 15};
100 
101 static Packet16uc p16uc_REVERSE32 = { 12,13,14,15, 8,9,10,11, 4,5,6,7, 0,1,2,3 };
102 static Packet16uc p16uc_REVERSE16 = { 14,15, 12,13, 10,11, 8,9, 6,7, 4,5, 2,3, 0,1 };
103 static Packet16uc p16uc_REVERSE8 = { 15,14,13,12,11,10,9,8,7,6,5,4,3,2,1,0 };
104 
105 static Packet16uc p16uc_DUPLICATE32_HI = { 0,1,2,3, 0,1,2,3, 4,5,6,7, 4,5,6,7 };
106 static Packet16uc p16uc_DUPLICATE16_HI = { 0,1,0,1, 2,3,2,3, 4,5,4,5, 6,7,6,7 };
107 static Packet16uc p16uc_DUPLICATE8_HI = { 0,0, 1,1, 2,2, 3,3, 4,4, 5,5, 6,6, 7,7 };
108 static const Packet16uc p16uc_DUPLICATE16_EVEN= { 0,1 ,0,1, 4,5, 4,5, 8,9, 8,9, 12,13, 12,13 };
109 static const Packet16uc p16uc_DUPLICATE16_ODD = { 2,3 ,2,3, 6,7, 6,7, 10,11, 10,11, 14,15, 14,15 };
110 
111 static Packet16uc p16uc_QUADRUPLICATE16_HI = { 0,1,0,1,0,1,0,1, 2,3,2,3,2,3,2,3 };
112 
113 // Handle endianness properly while loading constants
114 // Define global static constants:
115 #ifdef _BIG_ENDIAN
116 static Packet16uc p16uc_FORWARD = vec_lvsl(0, (float*)0);
117 #ifdef __VSX__
118 static Packet16uc p16uc_REVERSE64 = { 8,9,10,11, 12,13,14,15, 0,1,2,3, 4,5,6,7 };
119 #endif
120 static Packet16uc p16uc_PSET32_WODD = vec_sld((Packet16uc) vec_splat((Packet4ui)p16uc_FORWARD, 0), (Packet16uc) vec_splat((Packet4ui)p16uc_FORWARD, 2), 8);//{ 0,1,2,3, 0,1,2,3, 8,9,10,11, 8,9,10,11 };
121 static Packet16uc p16uc_PSET32_WEVEN = vec_sld(p16uc_DUPLICATE32_HI, (Packet16uc) vec_splat((Packet4ui)p16uc_FORWARD, 3), 8);//{ 4,5,6,7, 4,5,6,7, 12,13,14,15, 12,13,14,15 };
122 static Packet16uc p16uc_HALF64_0_16 = vec_sld((Packet16uc)p4i_ZERO, vec_splat((Packet16uc) vec_abs(p4i_MINUS16), 3), 8); //{ 0,0,0,0, 0,0,0,0, 16,16,16,16, 16,16,16,16};
123 #else
124 static Packet16uc p16uc_FORWARD = p16uc_REVERSE32;
125 static Packet16uc p16uc_REVERSE64 = { 8,9,10,11, 12,13,14,15, 0,1,2,3, 4,5,6,7 };
126 static Packet16uc p16uc_PSET32_WODD = vec_sld((Packet16uc) vec_splat((Packet4ui)p16uc_FORWARD, 1), (Packet16uc) vec_splat((Packet4ui)p16uc_FORWARD, 3), 8);//{ 0,1,2,3, 0,1,2,3, 8,9,10,11, 8,9,10,11 };
127 static Packet16uc p16uc_PSET32_WEVEN = vec_sld((Packet16uc) vec_splat((Packet4ui)p16uc_FORWARD, 0), (Packet16uc) vec_splat((Packet4ui)p16uc_FORWARD, 2), 8);//{ 4,5,6,7, 4,5,6,7, 12,13,14,15, 12,13,14,15 };
128 static Packet16uc p16uc_HALF64_0_16 = vec_sld(vec_splat((Packet16uc) vec_abs(p4i_MINUS16), 0), (Packet16uc)p4i_ZERO, 8); //{ 0,0,0,0, 0,0,0,0, 16,16,16,16, 16,16,16,16};
129 #endif // _BIG_ENDIAN
130 
131 static Packet16uc p16uc_PSET64_HI = (Packet16uc) vec_mergeh((Packet4ui)p16uc_PSET32_WODD, (Packet4ui)p16uc_PSET32_WEVEN); //{ 0,1,2,3, 4,5,6,7, 0,1,2,3, 4,5,6,7 };
132 static Packet16uc p16uc_PSET64_LO = (Packet16uc) vec_mergel((Packet4ui)p16uc_PSET32_WODD, (Packet4ui)p16uc_PSET32_WEVEN); //{ 8,9,10,11, 12,13,14,15, 8,9,10,11, 12,13,14,15 };
133 static Packet16uc p16uc_TRANSPOSE64_HI = p16uc_PSET64_HI + p16uc_HALF64_0_16; //{ 0,1,2,3, 4,5,6,7, 16,17,18,19, 20,21,22,23};
134 static Packet16uc p16uc_TRANSPOSE64_LO = p16uc_PSET64_LO + p16uc_HALF64_0_16; //{ 8,9,10,11, 12,13,14,15, 24,25,26,27, 28,29,30,31};
135 
136 static Packet16uc p16uc_COMPLEX32_REV = vec_sld(p16uc_REVERSE32, p16uc_REVERSE32, 8); //{ 4,5,6,7, 0,1,2,3, 12,13,14,15, 8,9,10,11 };
137 
138 #ifdef _BIG_ENDIAN
139 static Packet16uc p16uc_COMPLEX32_REV2 = vec_sld(p16uc_FORWARD, p16uc_FORWARD, 8); //{ 8,9,10,11, 12,13,14,15, 0,1,2,3, 4,5,6,7 };
140 #else
141 static Packet16uc p16uc_COMPLEX32_REV2 = vec_sld(p16uc_PSET64_HI, p16uc_PSET64_LO, 8); //{ 8,9,10,11, 12,13,14,15, 0,1,2,3, 4,5,6,7 };
142 #endif // _BIG_ENDIAN
143 
144 #if EIGEN_HAS_BUILTIN(__builtin_prefetch) || EIGEN_COMP_GNUC
145  #define EIGEN_PPC_PREFETCH(ADDR) __builtin_prefetch(ADDR);
146 #else
147  #define EIGEN_PPC_PREFETCH(ADDR) asm( " dcbt [%[addr]]\n" :: [addr] "r" (ADDR) : "cc" );
148 #endif
149 
150 template <>
151 struct packet_traits<float> : default_packet_traits {
152  typedef Packet4f type;
153  typedef Packet4f half;
154  enum {
155  Vectorizable = 1,
156  AlignedOnScalar = 1,
157  size = 4,
158  HasHalfPacket = 1,
159 
160  HasAdd = 1,
161  HasSub = 1,
162  HasMul = 1,
163  HasDiv = 1,
164  HasMin = 1,
165  HasMax = 1,
166  HasAbs = 1,
167  HasSin = EIGEN_FAST_MATH,
168  HasCos = EIGEN_FAST_MATH,
169  HasLog = 1,
170  HasExp = 1,
171 #ifdef __VSX__
172  HasSqrt = 1,
173 #if !EIGEN_COMP_CLANG
174  HasRsqrt = 1,
175 #else
176  HasRsqrt = 0,
177 #endif
178 #else
179  HasSqrt = 0,
180  HasRsqrt = 0,
181  HasTanh = EIGEN_FAST_MATH,
182  HasErf = EIGEN_FAST_MATH,
183 #endif
184  HasRound = 1,
185  HasFloor = 1,
186  HasCeil = 1,
187  HasRint = 1,
188  HasNegate = 1,
189  HasBlend = 1
190  };
191 };
192 template <>
193 struct packet_traits<bfloat16> : default_packet_traits {
194  typedef Packet8bf type;
195  typedef Packet8bf half;
196  enum {
197  Vectorizable = 1,
198  AlignedOnScalar = 1,
199  size = 8,
200  HasHalfPacket = 0,
201 
202  HasAdd = 1,
203  HasSub = 1,
204  HasMul = 1,
205  HasDiv = 1,
206  HasMin = 1,
207  HasMax = 1,
208  HasAbs = 1,
209  HasSin = EIGEN_FAST_MATH,
210  HasCos = EIGEN_FAST_MATH,
211  HasLog = 1,
212  HasExp = 1,
213 #ifdef __VSX__
214  HasSqrt = 1,
215 #if !EIGEN_COMP_CLANG
216  HasRsqrt = 1,
217 #else
218  HasRsqrt = 0,
219 #endif
220 #else
221  HasSqrt = 0,
222  HasRsqrt = 0,
223  HasTanh = EIGEN_FAST_MATH,
224  HasErf = EIGEN_FAST_MATH,
225 #endif
226  HasRound = 1,
227  HasFloor = 1,
228  HasCeil = 1,
229  HasRint = 1,
230  HasNegate = 1,
231  HasBlend = 1
232  };
233 };
234 
235 template <>
236 struct packet_traits<int> : default_packet_traits {
237  typedef Packet4i type;
238  typedef Packet4i half;
239  enum {
240  Vectorizable = 1,
241  AlignedOnScalar = 1,
242  size = 4,
243  HasHalfPacket = 0,
244 
245  HasAdd = 1,
246  HasSub = 1,
247  HasShift = 1,
248  HasMul = 1,
249  HasDiv = 0,
250  HasBlend = 1
251  };
252 };
253 
254 template <>
255 struct packet_traits<short int> : default_packet_traits {
256  typedef Packet8s type;
257  typedef Packet8s half;
258  enum {
259  Vectorizable = 1,
260  AlignedOnScalar = 1,
261  size = 8,
262  HasHalfPacket = 0,
263 
264  HasAdd = 1,
265  HasSub = 1,
266  HasMul = 1,
267  HasDiv = 0,
268  HasBlend = 1
269  };
270 };
271 
272 template <>
273 struct packet_traits<unsigned short int> : default_packet_traits {
274  typedef Packet8us type;
275  typedef Packet8us half;
276  enum {
277  Vectorizable = 1,
278  AlignedOnScalar = 1,
279  size = 8,
280  HasHalfPacket = 0,
281 
282  HasAdd = 1,
283  HasSub = 1,
284  HasMul = 1,
285  HasDiv = 0,
286  HasBlend = 1
287  };
288 };
289 
290 template <>
291 struct packet_traits<signed char> : default_packet_traits {
292  typedef Packet16c type;
293  typedef Packet16c half;
294  enum {
295  Vectorizable = 1,
296  AlignedOnScalar = 1,
297  size = 16,
298  HasHalfPacket = 0,
299 
300  HasAdd = 1,
301  HasSub = 1,
302  HasMul = 1,
303  HasDiv = 0,
304  HasBlend = 1
305  };
306 };
307 
308 template <>
309 struct packet_traits<unsigned char> : default_packet_traits {
310  typedef Packet16uc type;
311  typedef Packet16uc half;
312  enum {
313  Vectorizable = 1,
314  AlignedOnScalar = 1,
315  size = 16,
316  HasHalfPacket = 0,
317 
318  HasAdd = 1,
319  HasSub = 1,
320  HasMul = 1,
321  HasDiv = 0,
322  HasBlend = 1
323  };
324 };
325 
326 template<> struct unpacket_traits<Packet4f>
327 {
328  typedef float type;
329  typedef Packet4f half;
330  typedef Packet4i integer_packet;
331  enum {size=4, alignment=Aligned16, vectorizable=true, masked_load_available=false, masked_store_available=false};
332 };
333 template<> struct unpacket_traits<Packet4i>
334 {
335  typedef int type;
336  typedef Packet4i half;
337  enum {size=4, alignment=Aligned16, vectorizable=true, masked_load_available=false, masked_store_available=false};
338 };
339 template<> struct unpacket_traits<Packet8s>
340 {
341  typedef short int type;
342  typedef Packet8s half;
343  enum {size=8, alignment=Aligned16, vectorizable=true, masked_load_available=false, masked_store_available=false};
344 };
345 template<> struct unpacket_traits<Packet8us>
346 {
347  typedef unsigned short int type;
348  typedef Packet8us half;
349  enum {size=8, alignment=Aligned16, vectorizable=true, masked_load_available=false, masked_store_available=false};
350 };
351 
352 template<> struct unpacket_traits<Packet16c>
353 {
354  typedef signed char type;
355  typedef Packet16c half;
356  enum {size=16, alignment=Aligned16, vectorizable=true, masked_load_available=false, masked_store_available=false};
357 };
358 template<> struct unpacket_traits<Packet16uc>
359 {
360  typedef unsigned char type;
361  typedef Packet16uc half;
362  enum {size=16, alignment=Aligned16, vectorizable=true, masked_load_available=false, masked_store_available=false};
363 };
364 
365 template<> struct unpacket_traits<Packet8bf>
366 {
367  typedef bfloat16 type;
368  typedef Packet8bf half;
369  enum {size=8, alignment=Aligned16, vectorizable=true, masked_load_available=false, masked_store_available=false};
370 };
371 inline std::ostream & operator <<(std::ostream & s, const Packet16c & v)
372 {
373  union {
374  Packet16c v;
375  signed char n[16];
376  } vt;
377  vt.v = v;
378  for (int i=0; i< 16; i++)
379  s << vt.n[i] << ", ";
380  return s;
381 }
382 
383 inline std::ostream & operator <<(std::ostream & s, const Packet16uc & v)
384 {
385  union {
386  Packet16uc v;
387  unsigned char n[16];
388  } vt;
389  vt.v = v;
390  for (int i=0; i< 16; i++)
391  s << vt.n[i] << ", ";
392  return s;
393 }
394 
395 inline std::ostream & operator <<(std::ostream & s, const Packet4f & v)
396 {
397  union {
398  Packet4f v;
399  float n[4];
400  } vt;
401  vt.v = v;
402  s << vt.n[0] << ", " << vt.n[1] << ", " << vt.n[2] << ", " << vt.n[3];
403  return s;
404 }
405 
406 inline std::ostream & operator <<(std::ostream & s, const Packet4i & v)
407 {
408  union {
409  Packet4i v;
410  int n[4];
411  } vt;
412  vt.v = v;
413  s << vt.n[0] << ", " << vt.n[1] << ", " << vt.n[2] << ", " << vt.n[3];
414  return s;
415 }
416 
417 inline std::ostream & operator <<(std::ostream & s, const Packet4ui & v)
418 {
419  union {
420  Packet4ui v;
421  unsigned int n[4];
422  } vt;
423  vt.v = v;
424  s << vt.n[0] << ", " << vt.n[1] << ", " << vt.n[2] << ", " << vt.n[3];
425  return s;
426 }
427 
428 template <typename Packet>
429 EIGEN_STRONG_INLINE Packet pload_common(const __UNPACK_TYPE__(Packet)* from)
430 {
431  // some versions of GCC throw "unused-but-set-parameter".
432  // ignoring these warnings for now.
433  EIGEN_UNUSED_VARIABLE(from);
434  EIGEN_DEBUG_ALIGNED_LOAD
435 #ifdef __VSX__
436  return vec_xl(0, const_cast<__UNPACK_TYPE__(Packet)*>(from));
437 #else
438  return vec_ld(0, from);
439 #endif
440 }
441 
442 // Need to define them first or we get specialization after instantiation errors
443 template<> EIGEN_STRONG_INLINE Packet4f pload<Packet4f>(const float* from)
444 {
445  return pload_common<Packet4f>(from);
446 }
447 
448 template<> EIGEN_STRONG_INLINE Packet4i pload<Packet4i>(const int* from)
449 {
450  return pload_common<Packet4i>(from);
451 }
452 
453 template<> EIGEN_STRONG_INLINE Packet8s pload<Packet8s>(const short int* from)
454 {
455  return pload_common<Packet8s>(from);
456 }
457 
458 template<> EIGEN_STRONG_INLINE Packet8us pload<Packet8us>(const unsigned short int* from)
459 {
460  return pload_common<Packet8us>(from);
461 }
462 
463 template<> EIGEN_STRONG_INLINE Packet16c pload<Packet16c>(const signed char* from)
464 {
465  return pload_common<Packet16c>(from);
466 }
467 
468 template<> EIGEN_STRONG_INLINE Packet16uc pload<Packet16uc>(const unsigned char* from)
469 {
470  return pload_common<Packet16uc>(from);
471 }
472 
473 template<> EIGEN_STRONG_INLINE Packet8bf pload<Packet8bf>(const bfloat16* from)
474 {
475  return pload_common<Packet8us>(reinterpret_cast<const unsigned short int*>(from));
476 }
477 
478 template <typename Packet>
479 EIGEN_STRONG_INLINE void pstore_common(__UNPACK_TYPE__(Packet)* to, const Packet& from){
480  // some versions of GCC throw "unused-but-set-parameter" (float *to).
481  // ignoring these warnings for now.
482  EIGEN_UNUSED_VARIABLE(to);
483  EIGEN_DEBUG_ALIGNED_STORE
484 #ifdef __VSX__
485  vec_xst(from, 0, to);
486 #else
487  vec_st(from, 0, to);
488 #endif
489 }
490 
491 template<> EIGEN_STRONG_INLINE void pstore<float>(float* to, const Packet4f& from)
492 {
493  pstore_common<Packet4f>(to, from);
494 }
495 
496 template<> EIGEN_STRONG_INLINE void pstore<int>(int* to, const Packet4i& from)
497 {
498  pstore_common<Packet4i>(to, from);
499 }
500 
501 template<> EIGEN_STRONG_INLINE void pstore<short int>(short int* to, const Packet8s& from)
502 {
503  pstore_common<Packet8s>(to, from);
504 }
505 
506 template<> EIGEN_STRONG_INLINE void pstore<unsigned short int>(unsigned short int* to, const Packet8us& from)
507 {
508  pstore_common<Packet8us>(to, from);
509 }
510 
511 template<> EIGEN_STRONG_INLINE void pstore<bfloat16>(bfloat16* to, const Packet8bf& from)
512 {
513  pstore_common<Packet8us>(reinterpret_cast<unsigned short int*>(to), from);
514 }
515 
516 template<> EIGEN_STRONG_INLINE void pstore<signed char>(signed char* to, const Packet16c& from)
517 {
518  pstore_common<Packet16c>(to, from);
519 }
520 
521 template<> EIGEN_STRONG_INLINE void pstore<unsigned char>(unsigned char* to, const Packet16uc& from)
522 {
523  pstore_common<Packet16uc>(to, from);
524 }
525 
526 template<typename Packet>
527 EIGEN_STRONG_INLINE Packet pset1_size4(const __UNPACK_TYPE__(Packet)& from)
528 {
529  Packet v = {from, from, from, from};
530  return v;
531 }
532 
533 template<typename Packet>
534 EIGEN_STRONG_INLINE Packet pset1_size8(const __UNPACK_TYPE__(Packet)& from)
535 {
536  Packet v = {from, from, from, from, from, from, from, from};
537  return v;
538 }
539 
540 template<typename Packet>
541 EIGEN_STRONG_INLINE Packet pset1_size16(const __UNPACK_TYPE__(Packet)& from)
542 {
543  Packet v = {from, from, from, from, from, from, from, from, from, from, from, from, from, from, from, from};
544  return v;
545 }
546 
547 template<> EIGEN_STRONG_INLINE Packet4f pset1<Packet4f>(const float& from) {
548  return pset1_size4<Packet4f>(from);
549 }
550 
551 template<> EIGEN_STRONG_INLINE Packet4i pset1<Packet4i>(const int& from) {
552  return pset1_size4<Packet4i>(from);
553 }
554 
555 template<> EIGEN_STRONG_INLINE Packet8s pset1<Packet8s>(const short int& from) {
556  return pset1_size8<Packet8s>(from);
557 }
558 
559 template<> EIGEN_STRONG_INLINE Packet8us pset1<Packet8us>(const unsigned short int& from) {
560  return pset1_size8<Packet8us>(from);
561 }
562 
563 template<> EIGEN_STRONG_INLINE Packet16c pset1<Packet16c>(const signed char& from) {
564  return pset1_size16<Packet16c>(from);
565 }
566 
567 template<> EIGEN_STRONG_INLINE Packet16uc pset1<Packet16uc>(const unsigned char& from) {
568  return pset1_size16<Packet16uc>(from);
569 }
570 
571 template<> EIGEN_STRONG_INLINE Packet4f pset1frombits<Packet4f>(unsigned int from) {
572  return reinterpret_cast<Packet4f>(pset1<Packet4i>(from));
573 }
574 
575 template<> EIGEN_STRONG_INLINE Packet8bf pset1<Packet8bf>(const bfloat16& from) {
576  return pset1_size8<Packet8us>(reinterpret_cast<const unsigned short int&>(from));
577 }
578 
579 template<typename Packet> EIGEN_STRONG_INLINE void
580 pbroadcast4_common(const __UNPACK_TYPE__(Packet) *a,
581  Packet& a0, Packet& a1, Packet& a2, Packet& a3)
582 {
583  a3 = pload<Packet>(a);
584  a0 = vec_splat(a3, 0);
585  a1 = vec_splat(a3, 1);
586  a2 = vec_splat(a3, 2);
587  a3 = vec_splat(a3, 3);
588 }
589 
590 template<> EIGEN_STRONG_INLINE void
591 pbroadcast4<Packet4f>(const float *a,
592  Packet4f& a0, Packet4f& a1, Packet4f& a2, Packet4f& a3)
593 {
594  pbroadcast4_common<Packet4f>(a, a0, a1, a2, a3);
595 }
596 template<> EIGEN_STRONG_INLINE void
597 pbroadcast4<Packet4i>(const int *a,
598  Packet4i& a0, Packet4i& a1, Packet4i& a2, Packet4i& a3)
599 {
600  pbroadcast4_common<Packet4i>(a, a0, a1, a2, a3);
601 }
602 
603 template<typename Packet> EIGEN_DEVICE_FUNC inline Packet pgather_common(const __UNPACK_TYPE__(Packet)* from, Index stride)
604 {
605  EIGEN_ALIGN16 __UNPACK_TYPE__(Packet) a[4];
606  a[0] = from[0*stride];
607  a[1] = from[1*stride];
608  a[2] = from[2*stride];
609  a[3] = from[3*stride];
610  return pload<Packet>(a);
611 }
612 
613 template<> EIGEN_DEVICE_FUNC inline Packet4f pgather<float, Packet4f>(const float* from, Index stride)
614 {
615  return pgather_common<Packet4f>(from, stride);
616 }
617 
618 template<> EIGEN_DEVICE_FUNC inline Packet4i pgather<int, Packet4i>(const int* from, Index stride)
619 {
620  return pgather_common<Packet4i>(from, stride);
621 }
622 
623 template<typename Packet> EIGEN_DEVICE_FUNC inline Packet pgather_size8(const __UNPACK_TYPE__(Packet)* from, Index stride)
624 {
625  EIGEN_ALIGN16 __UNPACK_TYPE__(Packet) a[8];
626  a[0] = from[0*stride];
627  a[1] = from[1*stride];
628  a[2] = from[2*stride];
629  a[3] = from[3*stride];
630  a[4] = from[4*stride];
631  a[5] = from[5*stride];
632  a[6] = from[6*stride];
633  a[7] = from[7*stride];
634  return pload<Packet>(a);
635 }
636 
637 template<> EIGEN_DEVICE_FUNC inline Packet8s pgather<short int, Packet8s>(const short int* from, Index stride)
638 {
639  return pgather_size8<Packet8s>(from, stride);
640 }
641 
642 template<> EIGEN_DEVICE_FUNC inline Packet8us pgather<unsigned short int, Packet8us>(const unsigned short int* from, Index stride)
643 {
644  return pgather_size8<Packet8us>(from, stride);
645 }
646 
647 template<> EIGEN_DEVICE_FUNC inline Packet8bf pgather<bfloat16, Packet8bf>(const bfloat16* from, Index stride)
648 {
649  return pgather_size8<Packet8bf>(from, stride);
650 }
651 
652 template<typename Packet> EIGEN_DEVICE_FUNC inline Packet pgather_size16(const __UNPACK_TYPE__(Packet)* from, Index stride)
653 {
654  EIGEN_ALIGN16 __UNPACK_TYPE__(Packet) a[16];
655  a[0] = from[0*stride];
656  a[1] = from[1*stride];
657  a[2] = from[2*stride];
658  a[3] = from[3*stride];
659  a[4] = from[4*stride];
660  a[5] = from[5*stride];
661  a[6] = from[6*stride];
662  a[7] = from[7*stride];
663  a[8] = from[8*stride];
664  a[9] = from[9*stride];
665  a[10] = from[10*stride];
666  a[11] = from[11*stride];
667  a[12] = from[12*stride];
668  a[13] = from[13*stride];
669  a[14] = from[14*stride];
670  a[15] = from[15*stride];
671  return pload<Packet>(a);
672 }
673 
674 
675 template<> EIGEN_DEVICE_FUNC inline Packet16c pgather<signed char, Packet16c>(const signed char* from, Index stride)
676 {
677  return pgather_size16<Packet16c>(from, stride);
678 }
679 
680 template<> EIGEN_DEVICE_FUNC inline Packet16uc pgather<unsigned char, Packet16uc>(const unsigned char* from, Index stride)
681 {
682  return pgather_size16<Packet16uc>(from, stride);
683 }
684 
685 template<typename Packet> EIGEN_DEVICE_FUNC inline void pscatter_size4(__UNPACK_TYPE__(Packet)* to, const Packet& from, Index stride)
686 {
687  EIGEN_ALIGN16 __UNPACK_TYPE__(Packet) a[4];
688  pstore<__UNPACK_TYPE__(Packet)>(a, from);
689  to[0*stride] = a[0];
690  to[1*stride] = a[1];
691  to[2*stride] = a[2];
692  to[3*stride] = a[3];
693 }
694 
695 template<> EIGEN_DEVICE_FUNC inline void pscatter<float, Packet4f>(float* to, const Packet4f& from, Index stride)
696 {
697  pscatter_size4<Packet4f>(to, from, stride);
698 }
699 
700 template<> EIGEN_DEVICE_FUNC inline void pscatter<int, Packet4i>(int* to, const Packet4i& from, Index stride)
701 {
702  pscatter_size4<Packet4i>(to, from, stride);
703 }
704 
705 template<typename Packet> EIGEN_DEVICE_FUNC inline void pscatter_size8(__UNPACK_TYPE__(Packet)* to, const Packet& from, Index stride)
706 {
707  EIGEN_ALIGN16 __UNPACK_TYPE__(Packet) a[8];
708  pstore<__UNPACK_TYPE__(Packet)>(a, from);
709  to[0*stride] = a[0];
710  to[1*stride] = a[1];
711  to[2*stride] = a[2];
712  to[3*stride] = a[3];
713  to[4*stride] = a[4];
714  to[5*stride] = a[5];
715  to[6*stride] = a[6];
716  to[7*stride] = a[7];
717 }
718 
719 
720 template<> EIGEN_DEVICE_FUNC inline void pscatter<short int, Packet8s>(short int* to, const Packet8s& from, Index stride)
721 {
722  pscatter_size8<Packet8s>(to, from, stride);
723 }
724 
725 template<> EIGEN_DEVICE_FUNC inline void pscatter<unsigned short int, Packet8us>(unsigned short int* to, const Packet8us& from, Index stride)
726 {
727  pscatter_size8<Packet8us>(to, from, stride);
728 }
729 
730 template<> EIGEN_DEVICE_FUNC inline void pscatter<bfloat16, Packet8bf>(bfloat16* to, const Packet8bf& from, Index stride)
731 {
732  pscatter_size8<Packet8bf>(to, from, stride);
733 }
734 
735 template<typename Packet> EIGEN_DEVICE_FUNC inline void pscatter_size16(__UNPACK_TYPE__(Packet)* to, const Packet& from, Index stride)
736 {
737  EIGEN_ALIGN16 __UNPACK_TYPE__(Packet) a[16];
738  pstore<__UNPACK_TYPE__(Packet)>(a, from);
739  to[0*stride] = a[0];
740  to[1*stride] = a[1];
741  to[2*stride] = a[2];
742  to[3*stride] = a[3];
743  to[4*stride] = a[4];
744  to[5*stride] = a[5];
745  to[6*stride] = a[6];
746  to[7*stride] = a[7];
747  to[8*stride] = a[8];
748  to[9*stride] = a[9];
749  to[10*stride] = a[10];
750  to[11*stride] = a[11];
751  to[12*stride] = a[12];
752  to[13*stride] = a[13];
753  to[14*stride] = a[14];
754  to[15*stride] = a[15];
755 }
756 
757 template<> EIGEN_DEVICE_FUNC inline void pscatter<signed char, Packet16c>(signed char* to, const Packet16c& from, Index stride)
758 {
759  pscatter_size16<Packet16c>(to, from, stride);
760 }
761 
762 template<> EIGEN_DEVICE_FUNC inline void pscatter<unsigned char, Packet16uc>(unsigned char* to, const Packet16uc& from, Index stride)
763 {
764  pscatter_size16<Packet16uc>(to, from, stride);
765 }
766 
767 template<> EIGEN_STRONG_INLINE Packet4f plset<Packet4f>(const float& a) { return pset1<Packet4f>(a) + p4f_COUNTDOWN; }
768 template<> EIGEN_STRONG_INLINE Packet4i plset<Packet4i>(const int& a) { return pset1<Packet4i>(a) + p4i_COUNTDOWN; }
769 template<> EIGEN_STRONG_INLINE Packet8s plset<Packet8s>(const short int& a) { return pset1<Packet8s>(a) + p8s_COUNTDOWN; }
770 template<> EIGEN_STRONG_INLINE Packet8us plset<Packet8us>(const unsigned short int& a) { return pset1<Packet8us>(a) + p8us_COUNTDOWN; }
771 template<> EIGEN_STRONG_INLINE Packet16c plset<Packet16c>(const signed char& a) { return pset1<Packet16c>(a) + p16c_COUNTDOWN; }
772 template<> EIGEN_STRONG_INLINE Packet16uc plset<Packet16uc>(const unsigned char& a) { return pset1<Packet16uc>(a) + p16uc_COUNTDOWN; }
773 
774 template<> EIGEN_STRONG_INLINE Packet4f padd<Packet4f> (const Packet4f& a, const Packet4f& b) { return a + b; }
775 template<> EIGEN_STRONG_INLINE Packet4i padd<Packet4i> (const Packet4i& a, const Packet4i& b) { return a + b; }
776 template<> EIGEN_STRONG_INLINE Packet4ui padd<Packet4ui> (const Packet4ui& a, const Packet4ui& b) { return a + b; }
777 template<> EIGEN_STRONG_INLINE Packet8s padd<Packet8s> (const Packet8s& a, const Packet8s& b) { return a + b; }
778 template<> EIGEN_STRONG_INLINE Packet8us padd<Packet8us> (const Packet8us& a, const Packet8us& b) { return a + b; }
779 template<> EIGEN_STRONG_INLINE Packet16c padd<Packet16c> (const Packet16c& a, const Packet16c& b) { return a + b; }
780 template<> EIGEN_STRONG_INLINE Packet16uc padd<Packet16uc>(const Packet16uc& a, const Packet16uc& b) { return a + b; }
781 
782 template<> EIGEN_STRONG_INLINE Packet4f psub<Packet4f> (const Packet4f& a, const Packet4f& b) { return a - b; }
783 template<> EIGEN_STRONG_INLINE Packet4i psub<Packet4i> (const Packet4i& a, const Packet4i& b) { return a - b; }
784 template<> EIGEN_STRONG_INLINE Packet8s psub<Packet8s> (const Packet8s& a, const Packet8s& b) { return a - b; }
785 template<> EIGEN_STRONG_INLINE Packet8us psub<Packet8us> (const Packet8us& a, const Packet8us& b) { return a - b; }
786 template<> EIGEN_STRONG_INLINE Packet16c psub<Packet16c> (const Packet16c& a, const Packet16c& b) { return a - b; }
787 template<> EIGEN_STRONG_INLINE Packet16uc psub<Packet16uc>(const Packet16uc& a, const Packet16uc& b) { return a - b; }
788 
789 template<> EIGEN_STRONG_INLINE Packet4f pnegate(const Packet4f& a) { return p4f_ZERO - a; }
790 template<> EIGEN_STRONG_INLINE Packet4i pnegate(const Packet4i& a) { return p4i_ZERO - a; }
791 
792 template<> EIGEN_STRONG_INLINE Packet4f pconj(const Packet4f& a) { return a; }
793 template<> EIGEN_STRONG_INLINE Packet4i pconj(const Packet4i& a) { return a; }
794 
795 template<> EIGEN_STRONG_INLINE Packet4f pmul<Packet4f> (const Packet4f& a, const Packet4f& b) { return vec_madd(a,b, p4f_MZERO); }
796 template<> EIGEN_STRONG_INLINE Packet4i pmul<Packet4i> (const Packet4i& a, const Packet4i& b) { return a * b; }
797 template<> EIGEN_STRONG_INLINE Packet8s pmul<Packet8s> (const Packet8s& a, const Packet8s& b) { return vec_mul(a,b); }
798 template<> EIGEN_STRONG_INLINE Packet8us pmul<Packet8us> (const Packet8us& a, const Packet8us& b) { return vec_mul(a,b); }
799 template<> EIGEN_STRONG_INLINE Packet16c pmul<Packet16c> (const Packet16c& a, const Packet16c& b) { return vec_mul(a,b); }
800 template<> EIGEN_STRONG_INLINE Packet16uc pmul<Packet16uc>(const Packet16uc& a, const Packet16uc& b) { return vec_mul(a,b); }
801 
802 
803 template<> EIGEN_STRONG_INLINE Packet4f pdiv<Packet4f>(const Packet4f& a, const Packet4f& b)
804 {
805 #ifndef __VSX__ // VSX actually provides a div instruction
806  Packet4f t, y_0, y_1;
807 
808  // Altivec does not offer a divide instruction, we have to do a reciprocal approximation
809  y_0 = vec_re(b);
810 
811  // Do one Newton-Raphson iteration to get the needed accuracy
812  t = vec_nmsub(y_0, b, p4f_ONE);
813  y_1 = vec_madd(y_0, t, y_0);
814 
815  return vec_madd(a, y_1, p4f_MZERO);
816 #else
817  return vec_div(a, b);
818 #endif
819 }
820 
821 template<> EIGEN_STRONG_INLINE Packet4i pdiv<Packet4i>(const Packet4i& /*a*/, const Packet4i& /*b*/)
822 { eigen_assert(false && "packet integer division are not supported by AltiVec");
823  return pset1<Packet4i>(0);
824 }
825 
826 // for some weird raisons, it has to be overloaded for packet of integers
827 template<> EIGEN_STRONG_INLINE Packet4f pmadd(const Packet4f& a, const Packet4f& b, const Packet4f& c) { return vec_madd(a,b,c); }
828 template<> EIGEN_STRONG_INLINE Packet4i pmadd(const Packet4i& a, const Packet4i& b, const Packet4i& c) { return a*b + c; }
829 template<> EIGEN_STRONG_INLINE Packet8s pmadd(const Packet8s& a, const Packet8s& b, const Packet8s& c) { return vec_madd(a,b,c); }
830 template<> EIGEN_STRONG_INLINE Packet8us pmadd(const Packet8us& a, const Packet8us& b, const Packet8us& c) { return vec_madd(a,b,c); }
831 
832 template<> EIGEN_STRONG_INLINE Packet4f pmin<Packet4f>(const Packet4f& a, const Packet4f& b)
833 {
834  #ifdef __VSX__
835  // NOTE: about 10% slower than vec_min, but consistent with std::min and SSE regarding NaN
836  Packet4f ret;
837  __asm__ ("xvcmpgesp %x0,%x1,%x2\n\txxsel %x0,%x1,%x2,%x0" : "=&wa" (ret) : "wa" (a), "wa" (b));
838  return ret;
839  #else
840  return vec_min(a, b);
841  #endif
842 }
843 template<> EIGEN_STRONG_INLINE Packet4i pmin<Packet4i>(const Packet4i& a, const Packet4i& b) { return vec_min(a, b); }
844 template<> EIGEN_STRONG_INLINE Packet8s pmin<Packet8s>(const Packet8s& a, const Packet8s& b) { return vec_min(a, b); }
845 template<> EIGEN_STRONG_INLINE Packet8us pmin<Packet8us>(const Packet8us& a, const Packet8us& b) { return vec_min(a, b); }
846 template<> EIGEN_STRONG_INLINE Packet16c pmin<Packet16c>(const Packet16c& a, const Packet16c& b) { return vec_min(a, b); }
847 template<> EIGEN_STRONG_INLINE Packet16uc pmin<Packet16uc>(const Packet16uc& a, const Packet16uc& b) { return vec_min(a, b); }
848 
849 
850 template<> EIGEN_STRONG_INLINE Packet4f pmax<Packet4f>(const Packet4f& a, const Packet4f& b)
851 {
852  #ifdef __VSX__
853  // NOTE: about 10% slower than vec_max, but consistent with std::max and SSE regarding NaN
854  Packet4f ret;
855  __asm__ ("xvcmpgtsp %x0,%x2,%x1\n\txxsel %x0,%x1,%x2,%x0" : "=&wa" (ret) : "wa" (a), "wa" (b));
856  return ret;
857  #else
858  return vec_max(a, b);
859  #endif
860 }
861 template<> EIGEN_STRONG_INLINE Packet4i pmax<Packet4i>(const Packet4i& a, const Packet4i& b) { return vec_max(a, b); }
862 template<> EIGEN_STRONG_INLINE Packet8s pmax<Packet8s>(const Packet8s& a, const Packet8s& b) { return vec_max(a, b); }
863 template<> EIGEN_STRONG_INLINE Packet8us pmax<Packet8us>(const Packet8us& a, const Packet8us& b) { return vec_max(a, b); }
864 template<> EIGEN_STRONG_INLINE Packet16c pmax<Packet16c>(const Packet16c& a, const Packet16c& b) { return vec_max(a, b); }
865 template<> EIGEN_STRONG_INLINE Packet16uc pmax<Packet16uc>(const Packet16uc& a, const Packet16uc& b) { return vec_max(a, b); }
866 
867 template<> EIGEN_STRONG_INLINE Packet4f pcmp_le(const Packet4f& a, const Packet4f& b) { return reinterpret_cast<Packet4f>(vec_cmple(a,b)); }
868 template<> EIGEN_STRONG_INLINE Packet4f pcmp_lt(const Packet4f& a, const Packet4f& b) { return reinterpret_cast<Packet4f>(vec_cmplt(a,b)); }
869 template<> EIGEN_STRONG_INLINE Packet4f pcmp_eq(const Packet4f& a, const Packet4f& b) { return reinterpret_cast<Packet4f>(vec_cmpeq(a,b)); }
870 template<> EIGEN_STRONG_INLINE Packet4f pcmp_lt_or_nan(const Packet4f& a, const Packet4f& b) {
871  Packet4f c = reinterpret_cast<Packet4f>(vec_cmpge(a,b));
872  return vec_nor(c,c);
873 }
874 
875 template<> EIGEN_STRONG_INLINE Packet4i pcmp_le(const Packet4i& a, const Packet4i& b) { return reinterpret_cast<Packet4i>(vec_cmple(a,b)); }
876 template<> EIGEN_STRONG_INLINE Packet4i pcmp_lt(const Packet4i& a, const Packet4i& b) { return reinterpret_cast<Packet4i>(vec_cmplt(a,b)); }
877 template<> EIGEN_STRONG_INLINE Packet4i pcmp_eq(const Packet4i& a, const Packet4i& b) { return reinterpret_cast<Packet4i>(vec_cmpeq(a,b)); }
878 template<> EIGEN_STRONG_INLINE Packet8s pcmp_le(const Packet8s& a, const Packet8s& b) { return reinterpret_cast<Packet8s>(vec_cmple(a,b)); }
879 template<> EIGEN_STRONG_INLINE Packet8s pcmp_lt(const Packet8s& a, const Packet8s& b) { return reinterpret_cast<Packet8s>(vec_cmplt(a,b)); }
880 template<> EIGEN_STRONG_INLINE Packet8s pcmp_eq(const Packet8s& a, const Packet8s& b) { return reinterpret_cast<Packet8s>(vec_cmpeq(a,b)); }
881 template<> EIGEN_STRONG_INLINE Packet8us pcmp_le(const Packet8us& a, const Packet8us& b) { return reinterpret_cast<Packet8us>(vec_cmple(a,b)); }
882 template<> EIGEN_STRONG_INLINE Packet8us pcmp_lt(const Packet8us& a, const Packet8us& b) { return reinterpret_cast<Packet8us>(vec_cmplt(a,b)); }
883 template<> EIGEN_STRONG_INLINE Packet8us pcmp_eq(const Packet8us& a, const Packet8us& b) { return reinterpret_cast<Packet8us>(vec_cmpeq(a,b)); }
884 template<> EIGEN_STRONG_INLINE Packet16c pcmp_le(const Packet16c& a, const Packet16c& b) { return reinterpret_cast<Packet16c>(vec_cmple(a,b)); }
885 template<> EIGEN_STRONG_INLINE Packet16c pcmp_lt(const Packet16c& a, const Packet16c& b) { return reinterpret_cast<Packet16c>(vec_cmplt(a,b)); }
886 template<> EIGEN_STRONG_INLINE Packet16c pcmp_eq(const Packet16c& a, const Packet16c& b) { return reinterpret_cast<Packet16c>(vec_cmpeq(a,b)); }
887 template<> EIGEN_STRONG_INLINE Packet16uc pcmp_le(const Packet16uc& a, const Packet16uc& b) { return reinterpret_cast<Packet16uc>(vec_cmple(a,b)); }
888 template<> EIGEN_STRONG_INLINE Packet16uc pcmp_lt(const Packet16uc& a, const Packet16uc& b) { return reinterpret_cast<Packet16uc>(vec_cmplt(a,b)); }
889 template<> EIGEN_STRONG_INLINE Packet16uc pcmp_eq(const Packet16uc& a, const Packet16uc& b) { return reinterpret_cast<Packet16uc>(vec_cmpeq(a,b)); }
890 
891 template<> EIGEN_STRONG_INLINE Packet4f pand<Packet4f>(const Packet4f& a, const Packet4f& b) { return vec_and(a, b); }
892 template<> EIGEN_STRONG_INLINE Packet4i pand<Packet4i>(const Packet4i& a, const Packet4i& b) { return vec_and(a, b); }
893 template<> EIGEN_STRONG_INLINE Packet4ui pand<Packet4ui>(const Packet4ui& a, const Packet4ui& b) { return vec_and(a, b); }
894 template<> EIGEN_STRONG_INLINE Packet8us pand<Packet8us>(const Packet8us& a, const Packet8us& b) { return vec_and(a, b); }
895 template<> EIGEN_STRONG_INLINE Packet8bf pand<Packet8bf>(const Packet8bf& a, const Packet8bf& b) {
896  return pand<Packet8us>(a, b);
897 }
898 
899 
900 template<> EIGEN_STRONG_INLINE Packet4f por<Packet4f>(const Packet4f& a, const Packet4f& b) { return vec_or(a, b); }
901 template<> EIGEN_STRONG_INLINE Packet4i por<Packet4i>(const Packet4i& a, const Packet4i& b) { return vec_or(a, b); }
902 template<> EIGEN_STRONG_INLINE Packet8s por<Packet8s>(const Packet8s& a, const Packet8s& b) { return vec_or(a, b); }
903 template<> EIGEN_STRONG_INLINE Packet8us por<Packet8us>(const Packet8us& a, const Packet8us& b) { return vec_or(a, b); }
904 template<> EIGEN_STRONG_INLINE Packet8bf por<Packet8bf>(const Packet8bf& a, const Packet8bf& b) {
905  return por<Packet8us>(a, b);
906 }
907 
908 template<> EIGEN_STRONG_INLINE Packet4f pxor<Packet4f>(const Packet4f& a, const Packet4f& b) { return vec_xor(a, b); }
909 template<> EIGEN_STRONG_INLINE Packet4i pxor<Packet4i>(const Packet4i& a, const Packet4i& b) { return vec_xor(a, b); }
910 template<> EIGEN_STRONG_INLINE Packet8bf pxor<Packet8bf>(const Packet8bf& a, const Packet8bf& b) {
911  return pxor<Packet8us>(a, b);
912 }
913 
914 template<> EIGEN_STRONG_INLINE Packet4f pandnot<Packet4f>(const Packet4f& a, const Packet4f& b) { return vec_andc(a, b); }
915 template<> EIGEN_STRONG_INLINE Packet4i pandnot<Packet4i>(const Packet4i& a, const Packet4i& b) { return vec_andc(a, b); }
916 
917 template<> EIGEN_STRONG_INLINE Packet4f pselect(const Packet4f& mask, const Packet4f& a, const Packet4f& b) {
918  return vec_sel(b, a, reinterpret_cast<Packet4ui>(mask));
919 }
920 
921 template<> EIGEN_STRONG_INLINE Packet4f pround<Packet4f>(const Packet4f& a)
922 {
923  Packet4f t = vec_add(reinterpret_cast<Packet4f>(vec_or(vec_and(reinterpret_cast<Packet4ui>(a), p4ui_SIGN), p4ui_PREV0DOT5)), a);
924  Packet4f res;
925 
926 #ifdef __VSX__
927  __asm__("xvrspiz %x0, %x1\n\t"
928  : "=&wa" (res)
929  : "wa" (t));
930 #else
931  __asm__("vrfiz %0, %1\n\t"
932  : "=v" (res)
933  : "v" (t));
934 #endif
935 
936  return res;
937 }
938 template<> EIGEN_STRONG_INLINE Packet4f pceil<Packet4f>(const Packet4f& a) { return vec_ceil(a); }
939 template<> EIGEN_STRONG_INLINE Packet4f pfloor<Packet4f>(const Packet4f& a) { return vec_floor(a); }
940 template<> EIGEN_STRONG_INLINE Packet4f print<Packet4f>(const Packet4f& a)
941 {
942  Packet4f res;
943 
944  __asm__("xvrspic %x0, %x1\n\t"
945  : "=&wa" (res)
946  : "wa" (a));
947 
948  return res;
949 }
950 
951 template<typename Packet> EIGEN_STRONG_INLINE Packet ploadu_common(const __UNPACK_TYPE__(Packet)* from)
952 {
953  EIGEN_DEBUG_ALIGNED_LOAD
954 #ifdef _BIG_ENDIAN
955  Packet16uc MSQ, LSQ;
956  Packet16uc mask;
957  MSQ = vec_ld(0, (unsigned char *)from); // most significant quadword
958  LSQ = vec_ld(15, (unsigned char *)from); // least significant quadword
959  mask = vec_lvsl(0, from); // create the permute mask
960  //TODO: Add static_cast here
961  return (Packet) vec_perm(MSQ, LSQ, mask); // align the data
962 #else
963  EIGEN_DEBUG_UNALIGNED_LOAD
964  return vec_xl(0, const_cast<__UNPACK_TYPE__(Packet)*>(from));
965 #endif
966 }
967 
968 template<> EIGEN_STRONG_INLINE Packet4f ploadu<Packet4f>(const float* from)
969 {
970  return ploadu_common<Packet4f>(from);
971 }
972 template<> EIGEN_STRONG_INLINE Packet4i ploadu<Packet4i>(const int* from)
973 {
974  return ploadu_common<Packet4i>(from);
975 }
976 template<> EIGEN_STRONG_INLINE Packet8s ploadu<Packet8s>(const short int* from)
977 {
978  return ploadu_common<Packet8s>(from);
979 }
980 template<> EIGEN_STRONG_INLINE Packet8us ploadu<Packet8us>(const unsigned short int* from)
981 {
982  return ploadu_common<Packet8us>(from);
983 }
984 template<> EIGEN_STRONG_INLINE Packet8bf ploadu<Packet8bf>(const bfloat16* from)
985 {
986  return ploadu_common<Packet8us>(reinterpret_cast<const unsigned short int*>(from));
987 }
988 template<> EIGEN_STRONG_INLINE Packet16c ploadu<Packet16c>(const signed char* from)
989 {
990  return ploadu_common<Packet16c>(from);
991 }
992 template<> EIGEN_STRONG_INLINE Packet16uc ploadu<Packet16uc>(const unsigned char* from)
993 {
994  return ploadu_common<Packet16uc>(from);
995 }
996 
997 template<typename Packet> EIGEN_STRONG_INLINE Packet ploaddup_common(const __UNPACK_TYPE__(Packet)* from)
998 {
999  Packet p;
1000  if((std::ptrdiff_t(from) % 16) == 0) p = pload<Packet>(from);
1001  else p = ploadu<Packet>(from);
1002  return vec_perm(p, p, p16uc_DUPLICATE32_HI);
1003 }
1004 template<> EIGEN_STRONG_INLINE Packet4f ploaddup<Packet4f>(const float* from)
1005 {
1006  return ploaddup_common<Packet4f>(from);
1007 }
1008 template<> EIGEN_STRONG_INLINE Packet4i ploaddup<Packet4i>(const int* from)
1009 {
1010  return ploaddup_common<Packet4i>(from);
1011 }
1012 
1013 template<> EIGEN_STRONG_INLINE Packet8s ploaddup<Packet8s>(const short int* from)
1014 {
1015  Packet8s p;
1016  if((std::ptrdiff_t(from) % 16) == 0) p = pload<Packet8s>(from);
1017  else p = ploadu<Packet8s>(from);
1018  return vec_perm(p, p, p16uc_DUPLICATE16_HI);
1019 }
1020 
1021 template<> EIGEN_STRONG_INLINE Packet8us ploaddup<Packet8us>(const unsigned short int* from)
1022 {
1023  Packet8us p;
1024  if((std::ptrdiff_t(from) % 16) == 0) p = pload<Packet8us>(from);
1025  else p = ploadu<Packet8us>(from);
1026  return vec_perm(p, p, p16uc_DUPLICATE16_HI);
1027 }
1028 
1029 template<> EIGEN_STRONG_INLINE Packet8s ploadquad<Packet8s>(const short int* from)
1030 {
1031  Packet8s p;
1032  if((std::ptrdiff_t(from) % 16) == 0) p = pload<Packet8s>(from);
1033  else p = ploadu<Packet8s>(from);
1034  return vec_perm(p, p, p16uc_QUADRUPLICATE16_HI);
1035 }
1036 
1037 template<> EIGEN_STRONG_INLINE Packet8us ploadquad<Packet8us>(const unsigned short int* from)
1038 {
1039  Packet8us p;
1040  if((std::ptrdiff_t(from) % 16) == 0) p = pload<Packet8us>(from);
1041  else p = ploadu<Packet8us>(from);
1042  return vec_perm(p, p, p16uc_QUADRUPLICATE16_HI);
1043 }
1044 
1045 template<> EIGEN_STRONG_INLINE Packet8bf ploadquad<Packet8bf>(const bfloat16* from)
1046 {
1047  return ploadquad<Packet8us>(reinterpret_cast<const unsigned short int*>(from));
1048 }
1049 
1050 template<> EIGEN_STRONG_INLINE Packet16c ploaddup<Packet16c>(const signed char* from)
1051 {
1052  Packet16c p;
1053  if((std::ptrdiff_t(from) % 16) == 0) p = pload<Packet16c>(from);
1054  else p = ploadu<Packet16c>(from);
1055  return vec_perm(p, p, p16uc_DUPLICATE8_HI);
1056 }
1057 
1058 template<> EIGEN_STRONG_INLINE Packet16uc ploaddup<Packet16uc>(const unsigned char* from)
1059 {
1060  Packet16uc p;
1061  if((std::ptrdiff_t(from) % 16) == 0) p = pload<Packet16uc>(from);
1062  else p = ploadu<Packet16uc>(from);
1063  return vec_perm(p, p, p16uc_DUPLICATE8_HI);
1064 }
1065 
1066 template<typename Packet> EIGEN_STRONG_INLINE void pstoreu_common(__UNPACK_TYPE__(Packet)* to, const Packet& from)
1067 {
1068  EIGEN_DEBUG_UNALIGNED_STORE
1069 #ifdef _BIG_ENDIAN
1070  // Taken from http://developer.apple.com/hardwaredrivers/ve/alignment.html
1071  // Warning: not thread safe!
1072  Packet16uc MSQ, LSQ, edges;
1073  Packet16uc edgeAlign, align;
1074 
1075  MSQ = vec_ld(0, (unsigned char *)to); // most significant quadword
1076  LSQ = vec_ld(15, (unsigned char *)to); // least significant quadword
1077  edgeAlign = vec_lvsl(0, to); // permute map to extract edges
1078  edges=vec_perm(LSQ,MSQ,edgeAlign); // extract the edges
1079  align = vec_lvsr( 0, to ); // permute map to misalign data
1080  MSQ = vec_perm(edges,(Packet16uc)from,align); // misalign the data (MSQ)
1081  LSQ = vec_perm((Packet16uc)from,edges,align); // misalign the data (LSQ)
1082  vec_st( LSQ, 15, (unsigned char *)to ); // Store the LSQ part first
1083  vec_st( MSQ, 0, (unsigned char *)to ); // Store the MSQ part second
1084 #else
1085  vec_xst(from, 0, to);
1086 #endif
1087 }
1088 template<> EIGEN_STRONG_INLINE void pstoreu<float>(float* to, const Packet4f& from)
1089 {
1090  pstoreu_common<Packet4f>(to, from);
1091 }
1092 template<> EIGEN_STRONG_INLINE void pstoreu<int>(int* to, const Packet4i& from)
1093 {
1094  pstoreu_common<Packet4i>(to, from);
1095 }
1096 template<> EIGEN_STRONG_INLINE void pstoreu<short int>(short int* to, const Packet8s& from)
1097 {
1098  pstoreu_common<Packet8s>(to, from);
1099 }
1100 template<> EIGEN_STRONG_INLINE void pstoreu<unsigned short int>(unsigned short int* to, const Packet8us& from)
1101 {
1102  pstoreu_common<Packet8us>(to, from);
1103 }
1104 template<> EIGEN_STRONG_INLINE void pstoreu<bfloat16>(bfloat16* to, const Packet8bf& from)
1105 {
1106  pstoreu_common<Packet8us>(reinterpret_cast<unsigned short int*>(to), from);
1107 }
1108 template<> EIGEN_STRONG_INLINE void pstoreu<signed char>(signed char* to, const Packet16c& from)
1109 {
1110  pstoreu_common<Packet16c>(to, from);
1111 }
1112 template<> EIGEN_STRONG_INLINE void pstoreu<unsigned char>(unsigned char* to, const Packet16uc& from)
1113 {
1114  pstoreu_common<Packet16uc>(to, from);
1115 }
1116 
1117 template<> EIGEN_STRONG_INLINE void prefetch<float>(const float* addr) { EIGEN_PPC_PREFETCH(addr); }
1118 template<> EIGEN_STRONG_INLINE void prefetch<int>(const int* addr) { EIGEN_PPC_PREFETCH(addr); }
1119 
1120 template<> EIGEN_STRONG_INLINE float pfirst<Packet4f>(const Packet4f& a) { EIGEN_ALIGN16 float x; vec_ste(a, 0, &x); return x; }
1121 template<> EIGEN_STRONG_INLINE int pfirst<Packet4i>(const Packet4i& a) { EIGEN_ALIGN16 int x; vec_ste(a, 0, &x); return x; }
1122 
1123 template<typename Packet> EIGEN_STRONG_INLINE __UNPACK_TYPE__(Packet) pfirst_common(const Packet& a) {
1124  EIGEN_ALIGN16 __UNPACK_TYPE__(Packet) x;
1125  vec_ste(a, 0, &x);
1126  return x;
1127 }
1128 
1129 template<> EIGEN_STRONG_INLINE short int pfirst<Packet8s>(const Packet8s& a) {
1130  return pfirst_common<Packet8s>(a);
1131 }
1132 
1133 template<> EIGEN_STRONG_INLINE unsigned short int pfirst<Packet8us>(const Packet8us& a) {
1134  return pfirst_common<Packet8us>(a);
1135 }
1136 
1137 template<> EIGEN_STRONG_INLINE signed char pfirst<Packet16c>(const Packet16c& a)
1138 {
1139  return pfirst_common<Packet16c>(a);
1140 }
1141 
1142 template<> EIGEN_STRONG_INLINE unsigned char pfirst<Packet16uc>(const Packet16uc& a)
1143 {
1144  return pfirst_common<Packet16uc>(a);
1145 }
1146 
1147 template<> EIGEN_STRONG_INLINE Packet4f preverse(const Packet4f& a)
1148 {
1149  return reinterpret_cast<Packet4f>(vec_perm(reinterpret_cast<Packet16uc>(a), reinterpret_cast<Packet16uc>(a), p16uc_REVERSE32));
1150 }
1151 template<> EIGEN_STRONG_INLINE Packet4i preverse(const Packet4i& a)
1152 {
1153  return reinterpret_cast<Packet4i>(vec_perm(reinterpret_cast<Packet16uc>(a), reinterpret_cast<Packet16uc>(a), p16uc_REVERSE32));
1154 }
1155 template<> EIGEN_STRONG_INLINE Packet8s preverse(const Packet8s& a)
1156 {
1157  return reinterpret_cast<Packet8s>(vec_perm(reinterpret_cast<Packet16uc>(a), reinterpret_cast<Packet16uc>(a), p16uc_REVERSE16));
1158 }
1159 template<> EIGEN_STRONG_INLINE Packet8us preverse(const Packet8us& a)
1160 {
1161  return reinterpret_cast<Packet8us>(vec_perm(reinterpret_cast<Packet16uc>(a), reinterpret_cast<Packet16uc>(a), p16uc_REVERSE16));
1162 }
1163 template<> EIGEN_STRONG_INLINE Packet16c preverse(const Packet16c& a)
1164 {
1165  return vec_perm(a, a, p16uc_REVERSE8);
1166 }
1167 template<> EIGEN_STRONG_INLINE Packet16uc preverse(const Packet16uc& a)
1168 {
1169  return vec_perm(a, a, p16uc_REVERSE8);
1170 }
1171 template<> EIGEN_STRONG_INLINE Packet8bf preverse(const Packet8bf& a)
1172 {
1173  return preverse<Packet8us>(a);
1174 }
1175 
1176 template<> EIGEN_STRONG_INLINE Packet4f pabs(const Packet4f& a) { return vec_abs(a); }
1177 template<> EIGEN_STRONG_INLINE Packet4i pabs(const Packet4i& a) { return vec_abs(a); }
1178 template<> EIGEN_STRONG_INLINE Packet8s pabs(const Packet8s& a) { return vec_abs(a); }
1179 template<> EIGEN_STRONG_INLINE Packet8us pabs(const Packet8us& a) { return a; }
1180 template<> EIGEN_STRONG_INLINE Packet16c pabs(const Packet16c& a) { return vec_abs(a); }
1181 template<> EIGEN_STRONG_INLINE Packet16uc pabs(const Packet16uc& a) { return a; }
1182 template<> EIGEN_STRONG_INLINE Packet8bf pabs(const Packet8bf& a) {
1183  _EIGEN_DECLARE_CONST_FAST_Packet8us(abs_mask,0x7FFF);
1184  return pand<Packet8us>(p8us_abs_mask, a);
1185 }
1186 
1187 template<int N> EIGEN_STRONG_INLINE Packet4i parithmetic_shift_right(const Packet4i& a)
1188 { return vec_sra(a,reinterpret_cast<Packet4ui>(pset1<Packet4i>(N))); }
1189 template<int N> EIGEN_STRONG_INLINE Packet4i plogical_shift_right(const Packet4i& a)
1190 { return vec_sr(a,reinterpret_cast<Packet4ui>(pset1<Packet4i>(N))); }
1191 template<int N> EIGEN_STRONG_INLINE Packet4i plogical_shift_left(const Packet4i& a)
1192 { return vec_sl(a,reinterpret_cast<Packet4ui>(pset1<Packet4i>(N))); }
1193 template<int N> EIGEN_STRONG_INLINE Packet4f plogical_shift_left(const Packet4f& a)
1194 {
1195  const _EIGEN_DECLARE_CONST_FAST_Packet4ui(mask, N);
1196  Packet4ui r = vec_sl(reinterpret_cast<Packet4ui>(a), p4ui_mask);
1197  return reinterpret_cast<Packet4f>(r);
1198 }
1199 
1200 template<int N> EIGEN_STRONG_INLINE Packet4f plogical_shift_right(const Packet4f& a)
1201 {
1202  const _EIGEN_DECLARE_CONST_FAST_Packet4ui(mask, N);
1203  Packet4ui r = vec_sr(reinterpret_cast<Packet4ui>(a), p4ui_mask);
1204  return reinterpret_cast<Packet4f>(r);
1205 }
1206 
1207 template<int N> EIGEN_STRONG_INLINE Packet4ui plogical_shift_right(const Packet4ui& a)
1208 {
1209  const _EIGEN_DECLARE_CONST_FAST_Packet4ui(mask, N);
1210  return vec_sr(a, p4ui_mask);
1211 }
1212 
1213 template<int N> EIGEN_STRONG_INLINE Packet4ui plogical_shift_left(const Packet4ui& a)
1214 {
1215  const _EIGEN_DECLARE_CONST_FAST_Packet4ui(mask, N);
1216  return vec_sl(a, p4ui_mask);
1217 }
1218 
1219 template<int N> EIGEN_STRONG_INLINE Packet8us plogical_shift_left(const Packet8us& a)
1220 {
1221  const _EIGEN_DECLARE_CONST_FAST_Packet8us(mask, N);
1222  return vec_sl(a, p8us_mask);
1223 }
1224 template<int N> EIGEN_STRONG_INLINE Packet8us plogical_shift_right(const Packet8us& a)
1225 {
1226  const _EIGEN_DECLARE_CONST_FAST_Packet8us(mask, N);
1227  return vec_sr(a, p8us_mask);
1228 }
1229 
1230 EIGEN_STRONG_INLINE Packet4f Bf16ToF32Even(const Packet8bf& bf){
1231  return plogical_shift_left<16>(reinterpret_cast<Packet4f>(bf.m_val));
1232 }
1233 
1234 EIGEN_STRONG_INLINE Packet4f Bf16ToF32Odd(const Packet8bf& bf){
1235  const _EIGEN_DECLARE_CONST_FAST_Packet4ui(high_mask, 0xFFFF0000);
1236  return pand<Packet4f>(
1237  reinterpret_cast<Packet4f>(bf.m_val),
1238  reinterpret_cast<Packet4f>(p4ui_high_mask)
1239  );
1240 }
1241 
1242 // Simple interleaving of bool masks, prevents true values from being
1243 // converted to NaNs.
1244 EIGEN_STRONG_INLINE Packet8bf F32ToBf16Bool(Packet4f even, Packet4f odd) {
1245  const _EIGEN_DECLARE_CONST_FAST_Packet4ui(high_mask, 0xFFFF0000);
1246  Packet4f bf_odd, bf_even;
1247  bf_odd = pand(reinterpret_cast<Packet4f>(p4ui_high_mask), odd);
1248  bf_even = plogical_shift_right<16>(even);
1249  return reinterpret_cast<Packet8us>(por<Packet4f>(bf_even, bf_odd));
1250 }
1251 
1252 EIGEN_STRONG_INLINE Packet8bf F32ToBf16(Packet4f p4f){
1253  Packet4ui input = reinterpret_cast<Packet4ui>(p4f);
1254  Packet4ui lsb = plogical_shift_right<16>(input);
1255  lsb = pand<Packet4ui>(lsb, reinterpret_cast<Packet4ui>(p4i_ONE));
1256 
1257  _EIGEN_DECLARE_CONST_FAST_Packet4ui(BIAS,0x7FFFu);
1258  Packet4ui rounding_bias = padd<Packet4ui>(lsb, p4ui_BIAS);
1259  input = padd<Packet4ui>(input, rounding_bias);
1260 
1261  //Test NaN and Subnormal - Begin
1262  const _EIGEN_DECLARE_CONST_FAST_Packet4ui(exp_mask, 0x7F800000);
1263  Packet4ui exp = pand<Packet4ui>(p4ui_exp_mask, reinterpret_cast<Packet4ui>(p4f));
1264 
1265  const _EIGEN_DECLARE_CONST_FAST_Packet4ui(mantissa_mask, 0x7FFFFF);
1266  Packet4ui mantissa = pand<Packet4ui>(p4ui_mantissa_mask, reinterpret_cast<Packet4ui>(p4f));
1267 
1268  const _EIGEN_DECLARE_CONST_FAST_Packet4ui(max_exp, 0x7F800000);
1269  Packet4bi is_max_exp = vec_cmpeq(exp, p4ui_max_exp);
1270  Packet4bi is_zero_exp = vec_cmpeq(exp, reinterpret_cast<Packet4ui>(p4i_ZERO));
1271 
1272  Packet4bi is_mant_zero = vec_cmpeq(mantissa, reinterpret_cast<Packet4ui>(p4i_ZERO));
1273  Packet4ui nan_selector = pandnot<Packet4ui>(
1274  reinterpret_cast<Packet4ui>(is_max_exp),
1275  reinterpret_cast<Packet4ui>(is_mant_zero)
1276  );
1277 
1278  Packet4ui subnormal_selector = pandnot<Packet4ui>(
1279  reinterpret_cast<Packet4ui>(is_zero_exp),
1280  reinterpret_cast<Packet4ui>(is_mant_zero)
1281  );
1282 
1283  const _EIGEN_DECLARE_CONST_FAST_Packet4ui(nan, 0x7FC00000);
1284  input = vec_sel(input, p4ui_nan, nan_selector);
1285  input = vec_sel(input, reinterpret_cast<Packet4ui>(p4f), subnormal_selector);
1286  //Test NaN and Subnormal - End
1287 
1288  input = plogical_shift_right<16>(input);
1289  return reinterpret_cast<Packet8us>(input);
1290 }
1291 
1292 EIGEN_STRONG_INLINE Packet8bf F32ToBf16(Packet4f even, Packet4f odd){
1293  Packet4f bf_odd, bf_even;
1294  bf_odd = reinterpret_cast<Packet4f>(F32ToBf16(odd).m_val);
1295  bf_odd = plogical_shift_left<16>(bf_odd);
1296  bf_even = reinterpret_cast<Packet4f>(F32ToBf16(even).m_val);
1297  return reinterpret_cast<Packet8us>(por<Packet4f>(bf_even, bf_odd));
1298 }
1299 #define BF16_TO_F32_UNARY_OP_WRAPPER(OP, A) \
1300  Packet4f a_even = Bf16ToF32Even(A);\
1301  Packet4f a_odd = Bf16ToF32Odd(A);\
1302  Packet4f op_even = OP(a_even);\
1303  Packet4f op_odd = OP(a_odd);\
1304  return F32ToBf16(op_even, op_odd);\
1305 
1306 #define BF16_TO_F32_BINARY_OP_WRAPPER(OP, A, B) \
1307  Packet4f a_even = Bf16ToF32Even(A);\
1308  Packet4f a_odd = Bf16ToF32Odd(A);\
1309  Packet4f b_even = Bf16ToF32Even(B);\
1310  Packet4f b_odd = Bf16ToF32Odd(B);\
1311  Packet4f op_even = OP(a_even, b_even);\
1312  Packet4f op_odd = OP(a_odd, b_odd);\
1313  return F32ToBf16(op_even, op_odd);\
1314 
1315 #define BF16_TO_F32_BINARY_OP_WRAPPER_BOOL(OP, A, B) \
1316  Packet4f a_even = Bf16ToF32Even(A);\
1317  Packet4f a_odd = Bf16ToF32Odd(A);\
1318  Packet4f b_even = Bf16ToF32Even(B);\
1319  Packet4f b_odd = Bf16ToF32Odd(B);\
1320  Packet4f op_even = OP(a_even, b_even);\
1321  Packet4f op_odd = OP(a_odd, b_odd);\
1322  return F32ToBf16Bool(op_even, op_odd);\
1323 
1324 template<> EIGEN_STRONG_INLINE Packet8bf padd<Packet8bf>(const Packet8bf& a, const Packet8bf& b) {
1325  BF16_TO_F32_BINARY_OP_WRAPPER(padd<Packet4f>, a, b);
1326 }
1327 
1328 template<> EIGEN_STRONG_INLINE Packet8bf pmul<Packet8bf>(const Packet8bf& a, const Packet8bf& b) {
1329  BF16_TO_F32_BINARY_OP_WRAPPER(pmul<Packet4f>, a, b);
1330 }
1331 
1332 template<> EIGEN_STRONG_INLINE Packet8bf pdiv<Packet8bf>(const Packet8bf& a, const Packet8bf& b) {
1333  BF16_TO_F32_BINARY_OP_WRAPPER(pdiv<Packet4f>, a, b);
1334 }
1335 
1336 template<> EIGEN_STRONG_INLINE Packet8bf pnegate<Packet8bf>(const Packet8bf& a) {
1337  BF16_TO_F32_UNARY_OP_WRAPPER(pnegate<Packet4f>, a);
1338 }
1339 
1340 template<> EIGEN_STRONG_INLINE Packet8bf psub<Packet8bf>(const Packet8bf& a, const Packet8bf& b) {
1341  BF16_TO_F32_BINARY_OP_WRAPPER(psub<Packet4f>, a, b);
1342 }
1343 
1344 template<> EIGEN_STRONG_INLINE Packet8bf psqrt<Packet8bf> (const Packet8bf& a){
1345  BF16_TO_F32_UNARY_OP_WRAPPER(vec_sqrt, a);
1346 }
1347 template<> EIGEN_STRONG_INLINE Packet8bf prsqrt<Packet8bf> (const Packet8bf& a){
1348  BF16_TO_F32_UNARY_OP_WRAPPER(prsqrt<Packet4f>, a);
1349 }
1350 template<> EIGEN_STRONG_INLINE Packet8bf pexp<Packet8bf> (const Packet8bf& a){
1351  BF16_TO_F32_UNARY_OP_WRAPPER(pexp_float, a);
1352 }
1353 
1354 template<> EIGEN_STRONG_INLINE Packet4f pldexp<Packet4f>(const Packet4f& a, const Packet4f& exponent) {
1355  return pldexp_generic(a,exponent);
1356 }
1357 template<> EIGEN_STRONG_INLINE Packet8bf pldexp<Packet8bf> (const Packet8bf& a, const Packet8bf& exponent){
1358  BF16_TO_F32_BINARY_OP_WRAPPER(pldexp<Packet4f>, a, exponent);
1359 }
1360 
1361 template<> EIGEN_STRONG_INLINE Packet4f pfrexp<Packet4f>(const Packet4f& a, Packet4f& exponent) {
1362  return pfrexp_generic(a,exponent);
1363 }
1364 template<> EIGEN_STRONG_INLINE Packet8bf pfrexp<Packet8bf> (const Packet8bf& a, Packet8bf& e){
1365  Packet4f a_even = Bf16ToF32Even(a);
1366  Packet4f a_odd = Bf16ToF32Odd(a);
1367  Packet4f e_even;
1368  Packet4f e_odd;
1369  Packet4f op_even = pfrexp<Packet4f>(a_even, e_even);
1370  Packet4f op_odd = pfrexp<Packet4f>(a_odd, e_odd);
1371  e = F32ToBf16(e_even, e_odd);
1372  return F32ToBf16(op_even, op_odd);
1373 }
1374 
1375 template<> EIGEN_STRONG_INLINE Packet8bf psin<Packet8bf> (const Packet8bf& a){
1376  BF16_TO_F32_UNARY_OP_WRAPPER(psin_float, a);
1377 }
1378 template<> EIGEN_STRONG_INLINE Packet8bf pcos<Packet8bf> (const Packet8bf& a){
1379  BF16_TO_F32_UNARY_OP_WRAPPER(pcos_float, a);
1380 }
1381 template<> EIGEN_STRONG_INLINE Packet8bf plog<Packet8bf> (const Packet8bf& a){
1382  BF16_TO_F32_UNARY_OP_WRAPPER(plog_float, a);
1383 }
1384 template<> EIGEN_STRONG_INLINE Packet8bf pfloor<Packet8bf> (const Packet8bf& a){
1385  BF16_TO_F32_UNARY_OP_WRAPPER(pfloor<Packet4f>, a);
1386 }
1387 template<> EIGEN_STRONG_INLINE Packet8bf pceil<Packet8bf> (const Packet8bf& a){
1388  BF16_TO_F32_UNARY_OP_WRAPPER(pceil<Packet4f>, a);
1389 }
1390 template<> EIGEN_STRONG_INLINE Packet8bf pround<Packet8bf> (const Packet8bf& a){
1391  BF16_TO_F32_UNARY_OP_WRAPPER(pround<Packet4f>, a);
1392 }
1393 template<> EIGEN_STRONG_INLINE Packet8bf print<Packet8bf> (const Packet8bf& a){
1394  BF16_TO_F32_UNARY_OP_WRAPPER(print<Packet4f>, a);
1395 }
1396 template<> EIGEN_STRONG_INLINE Packet8bf pmadd(const Packet8bf& a, const Packet8bf& b, const Packet8bf& c) {
1397  Packet4f a_even = Bf16ToF32Even(a);
1398  Packet4f a_odd = Bf16ToF32Odd(a);
1399  Packet4f b_even = Bf16ToF32Even(b);
1400  Packet4f b_odd = Bf16ToF32Odd(b);
1401  Packet4f c_even = Bf16ToF32Even(c);
1402  Packet4f c_odd = Bf16ToF32Odd(c);
1403  Packet4f pmadd_even = pmadd<Packet4f>(a_even, b_even, c_even);
1404  Packet4f pmadd_odd = pmadd<Packet4f>(a_odd, b_odd, c_odd);
1405  return F32ToBf16(pmadd_even, pmadd_odd);
1406 }
1407 
1408 template<> EIGEN_STRONG_INLINE Packet8bf pmin<Packet8bf>(const Packet8bf& a, const Packet8bf& b) {
1409  BF16_TO_F32_BINARY_OP_WRAPPER(pmin<Packet4f>, a, b);
1410 }
1411 
1412 template<> EIGEN_STRONG_INLINE Packet8bf pmax<Packet8bf>(const Packet8bf& a, const Packet8bf& b) {
1413  BF16_TO_F32_BINARY_OP_WRAPPER(pmax<Packet4f>, a, b);
1414 }
1415 
1416 template<> EIGEN_STRONG_INLINE Packet8bf pcmp_lt(const Packet8bf& a, const Packet8bf& b) {
1417  BF16_TO_F32_BINARY_OP_WRAPPER_BOOL(pcmp_lt<Packet4f>, a, b);
1418 }
1419 template<> EIGEN_STRONG_INLINE Packet8bf pcmp_lt_or_nan(const Packet8bf& a, const Packet8bf& b) {
1420  BF16_TO_F32_BINARY_OP_WRAPPER_BOOL(pcmp_lt_or_nan<Packet4f>, a, b);
1421 }
1422 template<> EIGEN_STRONG_INLINE Packet8bf pcmp_le(const Packet8bf& a, const Packet8bf& b) {
1423  BF16_TO_F32_BINARY_OP_WRAPPER_BOOL(pcmp_le<Packet4f>, a, b);
1424 }
1425 template<> EIGEN_STRONG_INLINE Packet8bf pcmp_eq(const Packet8bf& a, const Packet8bf& b) {
1426  BF16_TO_F32_BINARY_OP_WRAPPER_BOOL(pcmp_eq<Packet4f>, a, b);
1427 }
1428 
1429 template<> EIGEN_STRONG_INLINE bfloat16 pfirst(const Packet8bf& a) {
1430  return Eigen::bfloat16_impl::raw_uint16_to_bfloat16((pfirst<Packet8us>(a)));
1431 }
1432 
1433 template<> EIGEN_STRONG_INLINE Packet8bf ploaddup<Packet8bf>(const bfloat16* from)
1434 {
1435  return ploaddup<Packet8us>(reinterpret_cast<const unsigned short int*>(from));
1436 }
1437 
1438 template<> EIGEN_STRONG_INLINE Packet8bf plset<Packet8bf>(const bfloat16& a) {
1439  bfloat16 countdown[8] = { bfloat16(0), bfloat16(1), bfloat16(2), bfloat16(3),
1440  bfloat16(4), bfloat16(5), bfloat16(6), bfloat16(7) };
1441  return padd<Packet8bf>(pset1<Packet8bf>(a), pload<Packet8bf>(countdown));
1442 }
1443 
1444 template<> EIGEN_STRONG_INLINE float predux<Packet4f>(const Packet4f& a)
1445 {
1446  Packet4f b, sum;
1447  b = vec_sld(a, a, 8);
1448  sum = a + b;
1449  b = vec_sld(sum, sum, 4);
1450  sum += b;
1451  return pfirst(sum);
1452 }
1453 
1454 template<> EIGEN_STRONG_INLINE int predux<Packet4i>(const Packet4i& a)
1455 {
1456  Packet4i sum;
1457  sum = vec_sums(a, p4i_ZERO);
1458 #ifdef _BIG_ENDIAN
1459  sum = vec_sld(sum, p4i_ZERO, 12);
1460 #else
1461  sum = vec_sld(p4i_ZERO, sum, 4);
1462 #endif
1463  return pfirst(sum);
1464 }
1465 
1466 template<> EIGEN_STRONG_INLINE bfloat16 predux<Packet8bf>(const Packet8bf& a)
1467 {
1468  float redux_even = predux<Packet4f>(Bf16ToF32Even(a));
1469  float redux_odd = predux<Packet4f>(Bf16ToF32Odd(a));
1470  float f32_result = redux_even + redux_odd;
1471  return bfloat16(f32_result);
1472 }
1473 template<typename Packet> EIGEN_STRONG_INLINE __UNPACK_TYPE__(Packet) predux_size8(const Packet& a)
1474 {
1475  union{
1476  Packet v;
1477  __UNPACK_TYPE__(Packet) n[8];
1478  } vt;
1479  vt.v = a;
1480 
1481  EIGEN_ALIGN16 int first_loader[4] = { vt.n[0], vt.n[1], vt.n[2], vt.n[3] };
1482  EIGEN_ALIGN16 int second_loader[4] = { vt.n[4], vt.n[5], vt.n[6], vt.n[7] };
1483  Packet4i first_half = pload<Packet4i>(first_loader);
1484  Packet4i second_half = pload<Packet4i>(second_loader);
1485 
1486  return static_cast<__UNPACK_TYPE__(Packet)>(predux(first_half) + predux(second_half));
1487 }
1488 
1489 template<> EIGEN_STRONG_INLINE short int predux<Packet8s>(const Packet8s& a)
1490 {
1491  return predux_size8<Packet8s>(a);
1492 }
1493 
1494 template<> EIGEN_STRONG_INLINE unsigned short int predux<Packet8us>(const Packet8us& a)
1495 {
1496  return predux_size8<Packet8us>(a);
1497 }
1498 
1499 template<typename Packet> EIGEN_STRONG_INLINE __UNPACK_TYPE__(Packet) predux_size16(const Packet& a)
1500 {
1501  union{
1502  Packet v;
1503  __UNPACK_TYPE__(Packet) n[16];
1504  } vt;
1505  vt.v = a;
1506 
1507  EIGEN_ALIGN16 int first_loader[4] = { vt.n[0], vt.n[1], vt.n[2], vt.n[3] };
1508  EIGEN_ALIGN16 int second_loader[4] = { vt.n[4], vt.n[5], vt.n[6], vt.n[7] };
1509  EIGEN_ALIGN16 int third_loader[4] = { vt.n[8], vt.n[9], vt.n[10], vt.n[11] };
1510  EIGEN_ALIGN16 int fourth_loader[4] = { vt.n[12], vt.n[13], vt.n[14], vt.n[15] };
1511 
1512  Packet4i first_quarter = pload<Packet4i>(first_loader);
1513  Packet4i second_quarter = pload<Packet4i>(second_loader);
1514  Packet4i third_quarter = pload<Packet4i>(third_loader);
1515  Packet4i fourth_quarter = pload<Packet4i>(fourth_loader);
1516 
1517  return static_cast<__UNPACK_TYPE__(Packet)>(predux(first_quarter) + predux(second_quarter)
1518  + predux(third_quarter) + predux(fourth_quarter));
1519 }
1520 
1521 template<> EIGEN_STRONG_INLINE signed char predux<Packet16c>(const Packet16c& a)
1522 {
1523  return predux_size16<Packet16c>(a);
1524 }
1525 
1526 template<> EIGEN_STRONG_INLINE unsigned char predux<Packet16uc>(const Packet16uc& a)
1527 {
1528  return predux_size16<Packet16uc>(a);
1529 }
1530 
1531 // Other reduction functions:
1532 // mul
1533 template<> EIGEN_STRONG_INLINE float predux_mul<Packet4f>(const Packet4f& a)
1534 {
1535  Packet4f prod;
1536  prod = pmul(a, vec_sld(a, a, 8));
1537  return pfirst(pmul(prod, vec_sld(prod, prod, 4)));
1538 }
1539 
1540 template<> EIGEN_STRONG_INLINE int predux_mul<Packet4i>(const Packet4i& a)
1541 {
1542  EIGEN_ALIGN16 int aux[4];
1543  pstore(aux, a);
1544  return aux[0] * aux[1] * aux[2] * aux[3];
1545 }
1546 
1547 template<> EIGEN_STRONG_INLINE short int predux_mul<Packet8s>(const Packet8s& a)
1548 {
1549  Packet8s pair, quad, octo;
1550 
1551  pair = vec_mul(a, vec_sld(a, a, 8));
1552  quad = vec_mul(pair, vec_sld(pair, pair, 4));
1553  octo = vec_mul(quad, vec_sld(quad, quad, 2));
1554 
1555  return pfirst(octo);
1556 }
1557 
1558 template<> EIGEN_STRONG_INLINE unsigned short int predux_mul<Packet8us>(const Packet8us& a)
1559 {
1560  Packet8us pair, quad, octo;
1561 
1562  pair = vec_mul(a, vec_sld(a, a, 8));
1563  quad = vec_mul(pair, vec_sld(pair, pair, 4));
1564  octo = vec_mul(quad, vec_sld(quad, quad, 2));
1565 
1566  return pfirst(octo);
1567 }
1568 
1569 template<> EIGEN_STRONG_INLINE bfloat16 predux_mul<Packet8bf>(const Packet8bf& a)
1570 {
1571  float redux_even = predux_mul<Packet4f>(Bf16ToF32Even(a));
1572  float redux_odd = predux_mul<Packet4f>(Bf16ToF32Odd(a));
1573  float f32_result = redux_even * redux_odd;
1574  return bfloat16(f32_result);
1575 }
1576 
1577 
1578 template<> EIGEN_STRONG_INLINE signed char predux_mul<Packet16c>(const Packet16c& a)
1579 {
1580  Packet16c pair, quad, octo, result;
1581 
1582  pair = vec_mul(a, vec_sld(a, a, 8));
1583  quad = vec_mul(pair, vec_sld(pair, pair, 4));
1584  octo = vec_mul(quad, vec_sld(quad, quad, 2));
1585  result = vec_mul(octo, vec_sld(octo, octo, 1));
1586 
1587  return pfirst(result);
1588 }
1589 
1590 template<> EIGEN_STRONG_INLINE unsigned char predux_mul<Packet16uc>(const Packet16uc& a)
1591 {
1592  Packet16uc pair, quad, octo, result;
1593 
1594  pair = vec_mul(a, vec_sld(a, a, 8));
1595  quad = vec_mul(pair, vec_sld(pair, pair, 4));
1596  octo = vec_mul(quad, vec_sld(quad, quad, 2));
1597  result = vec_mul(octo, vec_sld(octo, octo, 1));
1598 
1599  return pfirst(result);
1600 }
1601 
1602 // min
1603 template<typename Packet> EIGEN_STRONG_INLINE
1604 __UNPACK_TYPE__(Packet) predux_min4(const Packet& a)
1605 {
1606  Packet b, res;
1607  b = vec_min(a, vec_sld(a, a, 8));
1608  res = vec_min(b, vec_sld(b, b, 4));
1609  return pfirst(res);
1610 }
1611 
1612 
1613 template<> EIGEN_STRONG_INLINE float predux_min<Packet4f>(const Packet4f& a)
1614 {
1615  return predux_min4<Packet4f>(a);
1616 }
1617 
1618 template<> EIGEN_STRONG_INLINE int predux_min<Packet4i>(const Packet4i& a)
1619 {
1620  return predux_min4<Packet4i>(a);
1621 }
1622 
1623 template<> EIGEN_STRONG_INLINE bfloat16 predux_min<Packet8bf>(const Packet8bf& a)
1624 {
1625  float redux_even = predux_min<Packet4f>(Bf16ToF32Even(a));
1626  float redux_odd = predux_min<Packet4f>(Bf16ToF32Odd(a));
1627  float f32_result = (std::min)(redux_even, redux_odd);
1628  return bfloat16(f32_result);
1629 }
1630 
1631 template<> EIGEN_STRONG_INLINE short int predux_min<Packet8s>(const Packet8s& a)
1632 {
1633  Packet8s pair, quad, octo;
1634 
1635  //pair = { Min(a0,a4), Min(a1,a5), Min(a2,a6), Min(a3,a7) }
1636  pair = vec_min(a, vec_sld(a, a, 8));
1637 
1638  //quad = { Min(a0, a4, a2, a6), Min(a1, a5, a3, a7) }
1639  quad = vec_min(pair, vec_sld(pair, pair, 4));
1640 
1641  //octo = { Min(a0, a4, a2, a6, a1, a5, a3, a7) }
1642  octo = vec_min(quad, vec_sld(quad, quad, 2));
1643  return pfirst(octo);
1644 }
1645 
1646 template<> EIGEN_STRONG_INLINE unsigned short int predux_min<Packet8us>(const Packet8us& a)
1647 {
1648  Packet8us pair, quad, octo;
1649 
1650  //pair = { Min(a0,a4), Min(a1,a5), Min(a2,a6), Min(a3,a7) }
1651  pair = vec_min(a, vec_sld(a, a, 8));
1652 
1653  //quad = { Min(a0, a4, a2, a6), Min(a1, a5, a3, a7) }
1654  quad = vec_min(pair, vec_sld(pair, pair, 4));
1655 
1656  //octo = { Min(a0, a4, a2, a6, a1, a5, a3, a7) }
1657  octo = vec_min(quad, vec_sld(quad, quad, 2));
1658  return pfirst(octo);
1659 }
1660 
1661 template<> EIGEN_STRONG_INLINE signed char predux_min<Packet16c>(const Packet16c& a)
1662 {
1663  Packet16c pair, quad, octo, result;
1664 
1665  pair = vec_min(a, vec_sld(a, a, 8));
1666  quad = vec_min(pair, vec_sld(pair, pair, 4));
1667  octo = vec_min(quad, vec_sld(quad, quad, 2));
1668  result = vec_min(octo, vec_sld(octo, octo, 1));
1669 
1670  return pfirst(result);
1671 }
1672 
1673 template<> EIGEN_STRONG_INLINE unsigned char predux_min<Packet16uc>(const Packet16uc& a)
1674 {
1675  Packet16uc pair, quad, octo, result;
1676 
1677  pair = vec_min(a, vec_sld(a, a, 8));
1678  quad = vec_min(pair, vec_sld(pair, pair, 4));
1679  octo = vec_min(quad, vec_sld(quad, quad, 2));
1680  result = vec_min(octo, vec_sld(octo, octo, 1));
1681 
1682  return pfirst(result);
1683 }
1684 // max
1685 template<typename Packet> EIGEN_STRONG_INLINE __UNPACK_TYPE__(Packet) predux_max4(const Packet& a)
1686 {
1687  Packet b, res;
1688  b = vec_max(a, vec_sld(a, a, 8));
1689  res = vec_max(b, vec_sld(b, b, 4));
1690  return pfirst(res);
1691 }
1692 
1693 template<> EIGEN_STRONG_INLINE float predux_max<Packet4f>(const Packet4f& a)
1694 {
1695  return predux_max4<Packet4f>(a);
1696 }
1697 
1698 template<> EIGEN_STRONG_INLINE int predux_max<Packet4i>(const Packet4i& a)
1699 {
1700  return predux_max4<Packet4i>(a);
1701 }
1702 
1703 template<> EIGEN_STRONG_INLINE bfloat16 predux_max<Packet8bf>(const Packet8bf& a)
1704 {
1705  float redux_even = predux_max<Packet4f>(Bf16ToF32Even(a));
1706  float redux_odd = predux_max<Packet4f>(Bf16ToF32Odd(a));
1707  float f32_result = (std::max)(redux_even, redux_odd);
1708  return bfloat16(f32_result);
1709 }
1710 
1711 template<> EIGEN_STRONG_INLINE short int predux_max<Packet8s>(const Packet8s& a)
1712 {
1713  Packet8s pair, quad, octo;
1714 
1715  //pair = { Max(a0,a4), Max(a1,a5), Max(a2,a6), Max(a3,a7) }
1716  pair = vec_max(a, vec_sld(a, a, 8));
1717 
1718  //quad = { Max(a0, a4, a2, a6), Max(a1, a5, a3, a7) }
1719  quad = vec_max(pair, vec_sld(pair, pair, 4));
1720 
1721  //octo = { Max(a0, a4, a2, a6, a1, a5, a3, a7) }
1722  octo = vec_max(quad, vec_sld(quad, quad, 2));
1723  return pfirst(octo);
1724 }
1725 
1726 template<> EIGEN_STRONG_INLINE unsigned short int predux_max<Packet8us>(const Packet8us& a)
1727 {
1728  Packet8us pair, quad, octo;
1729 
1730  //pair = { Max(a0,a4), Max(a1,a5), Max(a2,a6), Max(a3,a7) }
1731  pair = vec_max(a, vec_sld(a, a, 8));
1732 
1733  //quad = { Max(a0, a4, a2, a6), Max(a1, a5, a3, a7) }
1734  quad = vec_max(pair, vec_sld(pair, pair, 4));
1735 
1736  //octo = { Max(a0, a4, a2, a6, a1, a5, a3, a7) }
1737  octo = vec_max(quad, vec_sld(quad, quad, 2));
1738  return pfirst(octo);
1739 }
1740 
1741 template<> EIGEN_STRONG_INLINE signed char predux_max<Packet16c>(const Packet16c& a)
1742 {
1743  Packet16c pair, quad, octo, result;
1744 
1745  pair = vec_max(a, vec_sld(a, a, 8));
1746  quad = vec_max(pair, vec_sld(pair, pair, 4));
1747  octo = vec_max(quad, vec_sld(quad, quad, 2));
1748  result = vec_max(octo, vec_sld(octo, octo, 1));
1749 
1750  return pfirst(result);
1751 }
1752 
1753 template<> EIGEN_STRONG_INLINE unsigned char predux_max<Packet16uc>(const Packet16uc& a)
1754 {
1755  Packet16uc pair, quad, octo, result;
1756 
1757  pair = vec_max(a, vec_sld(a, a, 8));
1758  quad = vec_max(pair, vec_sld(pair, pair, 4));
1759  octo = vec_max(quad, vec_sld(quad, quad, 2));
1760  result = vec_max(octo, vec_sld(octo, octo, 1));
1761 
1762  return pfirst(result);
1763 }
1764 
1765 template<> EIGEN_STRONG_INLINE bool predux_any(const Packet4f& x)
1766 {
1767  return vec_any_ne(x, pzero(x));
1768 }
1769 
1770 template <typename T> EIGEN_DEVICE_FUNC inline void
1771 ptranpose_common(PacketBlock<T,4>& kernel){
1772  T t0, t1, t2, t3;
1773  t0 = vec_mergeh(kernel.packet[0], kernel.packet[2]);
1774  t1 = vec_mergel(kernel.packet[0], kernel.packet[2]);
1775  t2 = vec_mergeh(kernel.packet[1], kernel.packet[3]);
1776  t3 = vec_mergel(kernel.packet[1], kernel.packet[3]);
1777  kernel.packet[0] = vec_mergeh(t0, t2);
1778  kernel.packet[1] = vec_mergel(t0, t2);
1779  kernel.packet[2] = vec_mergeh(t1, t3);
1780  kernel.packet[3] = vec_mergel(t1, t3);
1781 }
1782 
1783 EIGEN_DEVICE_FUNC inline void
1784 ptranspose(PacketBlock<Packet4f,4>& kernel) {
1785  ptranpose_common<Packet4f>(kernel);
1786 }
1787 
1788 EIGEN_DEVICE_FUNC inline void
1789 ptranspose(PacketBlock<Packet4i,4>& kernel) {
1790  ptranpose_common<Packet4i>(kernel);
1791 }
1792 
1793 EIGEN_DEVICE_FUNC inline void
1794 ptranspose(PacketBlock<Packet8s,4>& kernel) {
1795  Packet8s t0, t1, t2, t3;
1796  t0 = vec_mergeh(kernel.packet[0], kernel.packet[2]);
1797  t1 = vec_mergel(kernel.packet[0], kernel.packet[2]);
1798  t2 = vec_mergeh(kernel.packet[1], kernel.packet[3]);
1799  t3 = vec_mergel(kernel.packet[1], kernel.packet[3]);
1800  kernel.packet[0] = vec_mergeh(t0, t2);
1801  kernel.packet[1] = vec_mergel(t0, t2);
1802  kernel.packet[2] = vec_mergeh(t1, t3);
1803  kernel.packet[3] = vec_mergel(t1, t3);
1804 }
1805 
1806 EIGEN_DEVICE_FUNC inline void
1807 ptranspose(PacketBlock<Packet8us,4>& kernel) {
1808  Packet8us t0, t1, t2, t3;
1809  t0 = vec_mergeh(kernel.packet[0], kernel.packet[2]);
1810  t1 = vec_mergel(kernel.packet[0], kernel.packet[2]);
1811  t2 = vec_mergeh(kernel.packet[1], kernel.packet[3]);
1812  t3 = vec_mergel(kernel.packet[1], kernel.packet[3]);
1813  kernel.packet[0] = vec_mergeh(t0, t2);
1814  kernel.packet[1] = vec_mergel(t0, t2);
1815  kernel.packet[2] = vec_mergeh(t1, t3);
1816  kernel.packet[3] = vec_mergel(t1, t3);
1817 }
1818 
1819 
1820 EIGEN_DEVICE_FUNC inline void
1821 ptranspose(PacketBlock<Packet8bf,4>& kernel) {
1822  Packet8us t0, t1, t2, t3;
1823 
1824  t0 = vec_mergeh(kernel.packet[0].m_val, kernel.packet[2].m_val);
1825  t1 = vec_mergel(kernel.packet[0].m_val, kernel.packet[2].m_val);
1826  t2 = vec_mergeh(kernel.packet[1].m_val, kernel.packet[3].m_val);
1827  t3 = vec_mergel(kernel.packet[1].m_val, kernel.packet[3].m_val);
1828  kernel.packet[0] = vec_mergeh(t0, t2);
1829  kernel.packet[1] = vec_mergel(t0, t2);
1830  kernel.packet[2] = vec_mergeh(t1, t3);
1831  kernel.packet[3] = vec_mergel(t1, t3);
1832 }
1833 
1834 EIGEN_DEVICE_FUNC inline void
1835 ptranspose(PacketBlock<Packet16c,4>& kernel) {
1836  Packet16c t0, t1, t2, t3;
1837  t0 = vec_mergeh(kernel.packet[0], kernel.packet[2]);
1838  t1 = vec_mergel(kernel.packet[0], kernel.packet[2]);
1839  t2 = vec_mergeh(kernel.packet[1], kernel.packet[3]);
1840  t3 = vec_mergel(kernel.packet[1], kernel.packet[3]);
1841  kernel.packet[0] = vec_mergeh(t0, t2);
1842  kernel.packet[1] = vec_mergel(t0, t2);
1843  kernel.packet[2] = vec_mergeh(t1, t3);
1844  kernel.packet[3] = vec_mergel(t1, t3);
1845 }
1846 
1847 
1848 EIGEN_DEVICE_FUNC inline void
1849 ptranspose(PacketBlock<Packet16uc,4>& kernel) {
1850  Packet16uc t0, t1, t2, t3;
1851  t0 = vec_mergeh(kernel.packet[0], kernel.packet[2]);
1852  t1 = vec_mergel(kernel.packet[0], kernel.packet[2]);
1853  t2 = vec_mergeh(kernel.packet[1], kernel.packet[3]);
1854  t3 = vec_mergel(kernel.packet[1], kernel.packet[3]);
1855  kernel.packet[0] = vec_mergeh(t0, t2);
1856  kernel.packet[1] = vec_mergel(t0, t2);
1857  kernel.packet[2] = vec_mergeh(t1, t3);
1858  kernel.packet[3] = vec_mergel(t1, t3);
1859 }
1860 
1861 EIGEN_DEVICE_FUNC inline void
1862 ptranspose(PacketBlock<Packet8s,8>& kernel) {
1863  Packet8s v[8], sum[8];
1864 
1865  v[0] = vec_mergeh(kernel.packet[0], kernel.packet[4]);
1866  v[1] = vec_mergel(kernel.packet[0], kernel.packet[4]);
1867  v[2] = vec_mergeh(kernel.packet[1], kernel.packet[5]);
1868  v[3] = vec_mergel(kernel.packet[1], kernel.packet[5]);
1869  v[4] = vec_mergeh(kernel.packet[2], kernel.packet[6]);
1870  v[5] = vec_mergel(kernel.packet[2], kernel.packet[6]);
1871  v[6] = vec_mergeh(kernel.packet[3], kernel.packet[7]);
1872  v[7] = vec_mergel(kernel.packet[3], kernel.packet[7]);
1873  sum[0] = vec_mergeh(v[0], v[4]);
1874  sum[1] = vec_mergel(v[0], v[4]);
1875  sum[2] = vec_mergeh(v[1], v[5]);
1876  sum[3] = vec_mergel(v[1], v[5]);
1877  sum[4] = vec_mergeh(v[2], v[6]);
1878  sum[5] = vec_mergel(v[2], v[6]);
1879  sum[6] = vec_mergeh(v[3], v[7]);
1880  sum[7] = vec_mergel(v[3], v[7]);
1881 
1882  kernel.packet[0] = vec_mergeh(sum[0], sum[4]);
1883  kernel.packet[1] = vec_mergel(sum[0], sum[4]);
1884  kernel.packet[2] = vec_mergeh(sum[1], sum[5]);
1885  kernel.packet[3] = vec_mergel(sum[1], sum[5]);
1886  kernel.packet[4] = vec_mergeh(sum[2], sum[6]);
1887  kernel.packet[5] = vec_mergel(sum[2], sum[6]);
1888  kernel.packet[6] = vec_mergeh(sum[3], sum[7]);
1889  kernel.packet[7] = vec_mergel(sum[3], sum[7]);
1890 }
1891 
1892 EIGEN_DEVICE_FUNC inline void
1893 ptranspose(PacketBlock<Packet8us,8>& kernel) {
1894  Packet8us v[8], sum[8];
1895 
1896  v[0] = vec_mergeh(kernel.packet[0], kernel.packet[4]);
1897  v[1] = vec_mergel(kernel.packet[0], kernel.packet[4]);
1898  v[2] = vec_mergeh(kernel.packet[1], kernel.packet[5]);
1899  v[3] = vec_mergel(kernel.packet[1], kernel.packet[5]);
1900  v[4] = vec_mergeh(kernel.packet[2], kernel.packet[6]);
1901  v[5] = vec_mergel(kernel.packet[2], kernel.packet[6]);
1902  v[6] = vec_mergeh(kernel.packet[3], kernel.packet[7]);
1903  v[7] = vec_mergel(kernel.packet[3], kernel.packet[7]);
1904  sum[0] = vec_mergeh(v[0], v[4]);
1905  sum[1] = vec_mergel(v[0], v[4]);
1906  sum[2] = vec_mergeh(v[1], v[5]);
1907  sum[3] = vec_mergel(v[1], v[5]);
1908  sum[4] = vec_mergeh(v[2], v[6]);
1909  sum[5] = vec_mergel(v[2], v[6]);
1910  sum[6] = vec_mergeh(v[3], v[7]);
1911  sum[7] = vec_mergel(v[3], v[7]);
1912 
1913  kernel.packet[0] = vec_mergeh(sum[0], sum[4]);
1914  kernel.packet[1] = vec_mergel(sum[0], sum[4]);
1915  kernel.packet[2] = vec_mergeh(sum[1], sum[5]);
1916  kernel.packet[3] = vec_mergel(sum[1], sum[5]);
1917  kernel.packet[4] = vec_mergeh(sum[2], sum[6]);
1918  kernel.packet[5] = vec_mergel(sum[2], sum[6]);
1919  kernel.packet[6] = vec_mergeh(sum[3], sum[7]);
1920  kernel.packet[7] = vec_mergel(sum[3], sum[7]);
1921 }
1922 
1923 EIGEN_DEVICE_FUNC inline void
1924 ptranspose(PacketBlock<Packet8bf,8>& kernel) {
1925  Packet8bf v[8], sum[8];
1926 
1927  v[0] = vec_mergeh(kernel.packet[0].m_val, kernel.packet[4].m_val);
1928  v[1] = vec_mergel(kernel.packet[0].m_val, kernel.packet[4].m_val);
1929  v[2] = vec_mergeh(kernel.packet[1].m_val, kernel.packet[5].m_val);
1930  v[3] = vec_mergel(kernel.packet[1].m_val, kernel.packet[5].m_val);
1931  v[4] = vec_mergeh(kernel.packet[2].m_val, kernel.packet[6].m_val);
1932  v[5] = vec_mergel(kernel.packet[2].m_val, kernel.packet[6].m_val);
1933  v[6] = vec_mergeh(kernel.packet[3].m_val, kernel.packet[7].m_val);
1934  v[7] = vec_mergel(kernel.packet[3].m_val, kernel.packet[7].m_val);
1935  sum[0] = vec_mergeh(v[0].m_val, v[4].m_val);
1936  sum[1] = vec_mergel(v[0].m_val, v[4].m_val);
1937  sum[2] = vec_mergeh(v[1].m_val, v[5].m_val);
1938  sum[3] = vec_mergel(v[1].m_val, v[5].m_val);
1939  sum[4] = vec_mergeh(v[2].m_val, v[6].m_val);
1940  sum[5] = vec_mergel(v[2].m_val, v[6].m_val);
1941  sum[6] = vec_mergeh(v[3].m_val, v[7].m_val);
1942  sum[7] = vec_mergel(v[3].m_val, v[7].m_val);
1943 
1944  kernel.packet[0] = vec_mergeh(sum[0].m_val, sum[4].m_val);
1945  kernel.packet[1] = vec_mergel(sum[0].m_val, sum[4].m_val);
1946  kernel.packet[2] = vec_mergeh(sum[1].m_val, sum[5].m_val);
1947  kernel.packet[3] = vec_mergel(sum[1].m_val, sum[5].m_val);
1948  kernel.packet[4] = vec_mergeh(sum[2].m_val, sum[6].m_val);
1949  kernel.packet[5] = vec_mergel(sum[2].m_val, sum[6].m_val);
1950  kernel.packet[6] = vec_mergeh(sum[3].m_val, sum[7].m_val);
1951  kernel.packet[7] = vec_mergel(sum[3].m_val, sum[7].m_val);
1952 }
1953 
1954 EIGEN_DEVICE_FUNC inline void
1955 ptranspose(PacketBlock<Packet16c,16>& kernel) {
1956  Packet16c step1[16], step2[16], step3[16];
1957 
1958  step1[0] = vec_mergeh(kernel.packet[0], kernel.packet[8]);
1959  step1[1] = vec_mergel(kernel.packet[0], kernel.packet[8]);
1960  step1[2] = vec_mergeh(kernel.packet[1], kernel.packet[9]);
1961  step1[3] = vec_mergel(kernel.packet[1], kernel.packet[9]);
1962  step1[4] = vec_mergeh(kernel.packet[2], kernel.packet[10]);
1963  step1[5] = vec_mergel(kernel.packet[2], kernel.packet[10]);
1964  step1[6] = vec_mergeh(kernel.packet[3], kernel.packet[11]);
1965  step1[7] = vec_mergel(kernel.packet[3], kernel.packet[11]);
1966  step1[8] = vec_mergeh(kernel.packet[4], kernel.packet[12]);
1967  step1[9] = vec_mergel(kernel.packet[4], kernel.packet[12]);
1968  step1[10] = vec_mergeh(kernel.packet[5], kernel.packet[13]);
1969  step1[11] = vec_mergel(kernel.packet[5], kernel.packet[13]);
1970  step1[12] = vec_mergeh(kernel.packet[6], kernel.packet[14]);
1971  step1[13] = vec_mergel(kernel.packet[6], kernel.packet[14]);
1972  step1[14] = vec_mergeh(kernel.packet[7], kernel.packet[15]);
1973  step1[15] = vec_mergel(kernel.packet[7], kernel.packet[15]);
1974 
1975  step2[0] = vec_mergeh(step1[0], step1[8]);
1976  step2[1] = vec_mergel(step1[0], step1[8]);
1977  step2[2] = vec_mergeh(step1[1], step1[9]);
1978  step2[3] = vec_mergel(step1[1], step1[9]);
1979  step2[4] = vec_mergeh(step1[2], step1[10]);
1980  step2[5] = vec_mergel(step1[2], step1[10]);
1981  step2[6] = vec_mergeh(step1[3], step1[11]);
1982  step2[7] = vec_mergel(step1[3], step1[11]);
1983  step2[8] = vec_mergeh(step1[4], step1[12]);
1984  step2[9] = vec_mergel(step1[4], step1[12]);
1985  step2[10] = vec_mergeh(step1[5], step1[13]);
1986  step2[11] = vec_mergel(step1[5], step1[13]);
1987  step2[12] = vec_mergeh(step1[6], step1[14]);
1988  step2[13] = vec_mergel(step1[6], step1[14]);
1989  step2[14] = vec_mergeh(step1[7], step1[15]);
1990  step2[15] = vec_mergel(step1[7], step1[15]);
1991 
1992  step3[0] = vec_mergeh(step2[0], step2[8]);
1993  step3[1] = vec_mergel(step2[0], step2[8]);
1994  step3[2] = vec_mergeh(step2[1], step2[9]);
1995  step3[3] = vec_mergel(step2[1], step2[9]);
1996  step3[4] = vec_mergeh(step2[2], step2[10]);
1997  step3[5] = vec_mergel(step2[2], step2[10]);
1998  step3[6] = vec_mergeh(step2[3], step2[11]);
1999  step3[7] = vec_mergel(step2[3], step2[11]);
2000  step3[8] = vec_mergeh(step2[4], step2[12]);
2001  step3[9] = vec_mergel(step2[4], step2[12]);
2002  step3[10] = vec_mergeh(step2[5], step2[13]);
2003  step3[11] = vec_mergel(step2[5], step2[13]);
2004  step3[12] = vec_mergeh(step2[6], step2[14]);
2005  step3[13] = vec_mergel(step2[6], step2[14]);
2006  step3[14] = vec_mergeh(step2[7], step2[15]);
2007  step3[15] = vec_mergel(step2[7], step2[15]);
2008 
2009  kernel.packet[0] = vec_mergeh(step3[0], step3[8]);
2010  kernel.packet[1] = vec_mergel(step3[0], step3[8]);
2011  kernel.packet[2] = vec_mergeh(step3[1], step3[9]);
2012  kernel.packet[3] = vec_mergel(step3[1], step3[9]);
2013  kernel.packet[4] = vec_mergeh(step3[2], step3[10]);
2014  kernel.packet[5] = vec_mergel(step3[2], step3[10]);
2015  kernel.packet[6] = vec_mergeh(step3[3], step3[11]);
2016  kernel.packet[7] = vec_mergel(step3[3], step3[11]);
2017  kernel.packet[8] = vec_mergeh(step3[4], step3[12]);
2018  kernel.packet[9] = vec_mergel(step3[4], step3[12]);
2019  kernel.packet[10] = vec_mergeh(step3[5], step3[13]);
2020  kernel.packet[11] = vec_mergel(step3[5], step3[13]);
2021  kernel.packet[12] = vec_mergeh(step3[6], step3[14]);
2022  kernel.packet[13] = vec_mergel(step3[6], step3[14]);
2023  kernel.packet[14] = vec_mergeh(step3[7], step3[15]);
2024  kernel.packet[15] = vec_mergel(step3[7], step3[15]);
2025 }
2026 
2027 EIGEN_DEVICE_FUNC inline void
2028 ptranspose(PacketBlock<Packet16uc,16>& kernel) {
2029  Packet16uc step1[16], step2[16], step3[16];
2030 
2031  step1[0] = vec_mergeh(kernel.packet[0], kernel.packet[8]);
2032  step1[1] = vec_mergel(kernel.packet[0], kernel.packet[8]);
2033  step1[2] = vec_mergeh(kernel.packet[1], kernel.packet[9]);
2034  step1[3] = vec_mergel(kernel.packet[1], kernel.packet[9]);
2035  step1[4] = vec_mergeh(kernel.packet[2], kernel.packet[10]);
2036  step1[5] = vec_mergel(kernel.packet[2], kernel.packet[10]);
2037  step1[6] = vec_mergeh(kernel.packet[3], kernel.packet[11]);
2038  step1[7] = vec_mergel(kernel.packet[3], kernel.packet[11]);
2039  step1[8] = vec_mergeh(kernel.packet[4], kernel.packet[12]);
2040  step1[9] = vec_mergel(kernel.packet[4], kernel.packet[12]);
2041  step1[10] = vec_mergeh(kernel.packet[5], kernel.packet[13]);
2042  step1[11] = vec_mergel(kernel.packet[5], kernel.packet[13]);
2043  step1[12] = vec_mergeh(kernel.packet[6], kernel.packet[14]);
2044  step1[13] = vec_mergel(kernel.packet[6], kernel.packet[14]);
2045  step1[14] = vec_mergeh(kernel.packet[7], kernel.packet[15]);
2046  step1[15] = vec_mergel(kernel.packet[7], kernel.packet[15]);
2047 
2048  step2[0] = vec_mergeh(step1[0], step1[8]);
2049  step2[1] = vec_mergel(step1[0], step1[8]);
2050  step2[2] = vec_mergeh(step1[1], step1[9]);
2051  step2[3] = vec_mergel(step1[1], step1[9]);
2052  step2[4] = vec_mergeh(step1[2], step1[10]);
2053  step2[5] = vec_mergel(step1[2], step1[10]);
2054  step2[6] = vec_mergeh(step1[3], step1[11]);
2055  step2[7] = vec_mergel(step1[3], step1[11]);
2056  step2[8] = vec_mergeh(step1[4], step1[12]);
2057  step2[9] = vec_mergel(step1[4], step1[12]);
2058  step2[10] = vec_mergeh(step1[5], step1[13]);
2059  step2[11] = vec_mergel(step1[5], step1[13]);
2060  step2[12] = vec_mergeh(step1[6], step1[14]);
2061  step2[13] = vec_mergel(step1[6], step1[14]);
2062  step2[14] = vec_mergeh(step1[7], step1[15]);
2063  step2[15] = vec_mergel(step1[7], step1[15]);
2064 
2065  step3[0] = vec_mergeh(step2[0], step2[8]);
2066  step3[1] = vec_mergel(step2[0], step2[8]);
2067  step3[2] = vec_mergeh(step2[1], step2[9]);
2068  step3[3] = vec_mergel(step2[1], step2[9]);
2069  step3[4] = vec_mergeh(step2[2], step2[10]);
2070  step3[5] = vec_mergel(step2[2], step2[10]);
2071  step3[6] = vec_mergeh(step2[3], step2[11]);
2072  step3[7] = vec_mergel(step2[3], step2[11]);
2073  step3[8] = vec_mergeh(step2[4], step2[12]);
2074  step3[9] = vec_mergel(step2[4], step2[12]);
2075  step3[10] = vec_mergeh(step2[5], step2[13]);
2076  step3[11] = vec_mergel(step2[5], step2[13]);
2077  step3[12] = vec_mergeh(step2[6], step2[14]);
2078  step3[13] = vec_mergel(step2[6], step2[14]);
2079  step3[14] = vec_mergeh(step2[7], step2[15]);
2080  step3[15] = vec_mergel(step2[7], step2[15]);
2081 
2082  kernel.packet[0] = vec_mergeh(step3[0], step3[8]);
2083  kernel.packet[1] = vec_mergel(step3[0], step3[8]);
2084  kernel.packet[2] = vec_mergeh(step3[1], step3[9]);
2085  kernel.packet[3] = vec_mergel(step3[1], step3[9]);
2086  kernel.packet[4] = vec_mergeh(step3[2], step3[10]);
2087  kernel.packet[5] = vec_mergel(step3[2], step3[10]);
2088  kernel.packet[6] = vec_mergeh(step3[3], step3[11]);
2089  kernel.packet[7] = vec_mergel(step3[3], step3[11]);
2090  kernel.packet[8] = vec_mergeh(step3[4], step3[12]);
2091  kernel.packet[9] = vec_mergel(step3[4], step3[12]);
2092  kernel.packet[10] = vec_mergeh(step3[5], step3[13]);
2093  kernel.packet[11] = vec_mergel(step3[5], step3[13]);
2094  kernel.packet[12] = vec_mergeh(step3[6], step3[14]);
2095  kernel.packet[13] = vec_mergel(step3[6], step3[14]);
2096  kernel.packet[14] = vec_mergeh(step3[7], step3[15]);
2097  kernel.packet[15] = vec_mergel(step3[7], step3[15]);
2098 }
2099 
2100 template<typename Packet> EIGEN_STRONG_INLINE
2101 Packet pblend4(const Selector<4>& ifPacket, const Packet& thenPacket, const Packet& elsePacket) {
2102  Packet4ui select = { ifPacket.select[0], ifPacket.select[1], ifPacket.select[2], ifPacket.select[3] };
2103  Packet4ui mask = reinterpret_cast<Packet4ui>(vec_cmpeq(reinterpret_cast<Packet4ui>(select), reinterpret_cast<Packet4ui>(p4i_ONE)));
2104  return vec_sel(elsePacket, thenPacket, mask);
2105 }
2106 
2107 template<> EIGEN_STRONG_INLINE Packet4i pblend(const Selector<4>& ifPacket, const Packet4i& thenPacket, const Packet4i& elsePacket) {
2108  return pblend4<Packet4i>(ifPacket, thenPacket, elsePacket);
2109 }
2110 
2111 template<> EIGEN_STRONG_INLINE Packet4f pblend(const Selector<4>& ifPacket, const Packet4f& thenPacket, const Packet4f& elsePacket) {
2112  return pblend4<Packet4f>(ifPacket, thenPacket, elsePacket);
2113 }
2114 
2115 template<> EIGEN_STRONG_INLINE Packet8s pblend(const Selector<8>& ifPacket, const Packet8s& thenPacket, const Packet8s& elsePacket) {
2116  Packet8us select = { ifPacket.select[0], ifPacket.select[1], ifPacket.select[2], ifPacket.select[3],
2117  ifPacket.select[4], ifPacket.select[5], ifPacket.select[6], ifPacket.select[7] };
2118  Packet8us mask = reinterpret_cast<Packet8us>(vec_cmpeq(select, p8us_ONE));
2119  Packet8s result = vec_sel(elsePacket, thenPacket, mask);
2120  return result;
2121 }
2122 
2123 template<> EIGEN_STRONG_INLINE Packet8us pblend(const Selector<8>& ifPacket, const Packet8us& thenPacket, const Packet8us& elsePacket) {
2124  Packet8us select = { ifPacket.select[0], ifPacket.select[1], ifPacket.select[2], ifPacket.select[3],
2125  ifPacket.select[4], ifPacket.select[5], ifPacket.select[6], ifPacket.select[7] };
2126  Packet8us mask = reinterpret_cast<Packet8us>(vec_cmpeq(reinterpret_cast<Packet8us>(select), p8us_ONE));
2127  return vec_sel(elsePacket, thenPacket, mask);
2128 }
2129 
2130 template<> EIGEN_STRONG_INLINE Packet8bf pblend(const Selector<8>& ifPacket, const Packet8bf& thenPacket, const Packet8bf& elsePacket) {
2131  return pblend<Packet8us>(ifPacket, thenPacket, elsePacket);
2132 }
2133 
2134 template<> EIGEN_STRONG_INLINE Packet16c pblend(const Selector<16>& ifPacket, const Packet16c& thenPacket, const Packet16c& elsePacket) {
2135  Packet16uc select = { ifPacket.select[0], ifPacket.select[1], ifPacket.select[2], ifPacket.select[3],
2136  ifPacket.select[4], ifPacket.select[5], ifPacket.select[6], ifPacket.select[7],
2137  ifPacket.select[8], ifPacket.select[9], ifPacket.select[10], ifPacket.select[11],
2138  ifPacket.select[12], ifPacket.select[13], ifPacket.select[14], ifPacket.select[15] };
2139 
2140  Packet16uc mask = reinterpret_cast<Packet16uc>(vec_cmpeq(reinterpret_cast<Packet16uc>(select), p16uc_ONE));
2141  return vec_sel(elsePacket, thenPacket, mask);
2142 }
2143 
2144 template<> EIGEN_STRONG_INLINE Packet16uc pblend(const Selector<16>& ifPacket, const Packet16uc& thenPacket, const Packet16uc& elsePacket) {
2145  Packet16uc select = { ifPacket.select[0], ifPacket.select[1], ifPacket.select[2], ifPacket.select[3],
2146  ifPacket.select[4], ifPacket.select[5], ifPacket.select[6], ifPacket.select[7],
2147  ifPacket.select[8], ifPacket.select[9], ifPacket.select[10], ifPacket.select[11],
2148  ifPacket.select[12], ifPacket.select[13], ifPacket.select[14], ifPacket.select[15] };
2149 
2150  Packet16uc mask = reinterpret_cast<Packet16uc>(vec_cmpeq(reinterpret_cast<Packet16uc>(select), p16uc_ONE));
2151  return vec_sel(elsePacket, thenPacket, mask);
2152 }
2153 
2154 template <>
2155 struct type_casting_traits<float, int> {
2156  enum {
2157  VectorizedCast = 1,
2158  SrcCoeffRatio = 1,
2159  TgtCoeffRatio = 1
2160  };
2161 };
2162 
2163 template <>
2164 struct type_casting_traits<int, float> {
2165  enum {
2166  VectorizedCast = 1,
2167  SrcCoeffRatio = 1,
2168  TgtCoeffRatio = 1
2169  };
2170 };
2171 
2172 template <>
2173 struct type_casting_traits<bfloat16, unsigned short int> {
2174  enum {
2175  VectorizedCast = 1,
2176  SrcCoeffRatio = 1,
2177  TgtCoeffRatio = 1
2178  };
2179 };
2180 
2181 template <>
2182 struct type_casting_traits<unsigned short int, bfloat16> {
2183  enum {
2184  VectorizedCast = 1,
2185  SrcCoeffRatio = 1,
2186  TgtCoeffRatio = 1
2187  };
2188 };
2189 
2190 template<> EIGEN_STRONG_INLINE Packet4i pcast<Packet4f, Packet4i>(const Packet4f& a) {
2191  return vec_cts(a,0);
2192 }
2193 
2194 template<> EIGEN_STRONG_INLINE Packet4ui pcast<Packet4f, Packet4ui>(const Packet4f& a) {
2195  return vec_ctu(a,0);
2196 }
2197 
2198 template<> EIGEN_STRONG_INLINE Packet4f pcast<Packet4i, Packet4f>(const Packet4i& a) {
2199  return vec_ctf(a,0);
2200 }
2201 
2202 template<> EIGEN_STRONG_INLINE Packet4f pcast<Packet4ui, Packet4f>(const Packet4ui& a) {
2203  return vec_ctf(a,0);
2204 }
2205 
2206 template<> EIGEN_STRONG_INLINE Packet8us pcast<Packet8bf, Packet8us>(const Packet8bf& a) {
2207  Packet4f float_even = Bf16ToF32Even(a);
2208  Packet4f float_odd = Bf16ToF32Odd(a);
2209  Packet4ui int_even = pcast<Packet4f, Packet4ui>(float_even);
2210  Packet4ui int_odd = pcast<Packet4f, Packet4ui>(float_odd);
2211  const _EIGEN_DECLARE_CONST_FAST_Packet4ui(low_mask, 0x0000FFFF);
2212  Packet4ui low_even = pand<Packet4ui>(int_even, p4ui_low_mask);
2213  Packet4ui low_odd = pand<Packet4ui>(int_odd, p4ui_low_mask);
2214 
2215  //Check values that are bigger than USHRT_MAX (0xFFFF)
2216  Packet4bi overflow_selector;
2217  if(vec_any_gt(int_even, p4ui_low_mask)){
2218  overflow_selector = vec_cmpgt(int_even, p4ui_low_mask);
2219  low_even = vec_sel(low_even, p4ui_low_mask, overflow_selector);
2220  }
2221  if(vec_any_gt(int_odd, p4ui_low_mask)){
2222  overflow_selector = vec_cmpgt(int_odd, p4ui_low_mask);
2223  low_odd = vec_sel(low_even, p4ui_low_mask, overflow_selector);
2224  }
2225 
2226  low_odd = plogical_shift_left<16>(low_odd);
2227 
2228  Packet4ui int_final = por<Packet4ui>(low_even, low_odd);
2229  return reinterpret_cast<Packet8us>(int_final);
2230 }
2231 
2232 template<> EIGEN_STRONG_INLINE Packet8bf pcast<Packet8us, Packet8bf>(const Packet8us& a) {
2233  //short -> int -> float -> bfloat16
2234  const _EIGEN_DECLARE_CONST_FAST_Packet4ui(low_mask, 0x0000FFFF);
2235  Packet4ui int_cast = reinterpret_cast<Packet4ui>(a);
2236  Packet4ui int_even = pand<Packet4ui>(int_cast, p4ui_low_mask);
2237  Packet4ui int_odd = plogical_shift_right<16>(int_cast);
2238  Packet4f float_even = pcast<Packet4ui, Packet4f>(int_even);
2239  Packet4f float_odd = pcast<Packet4ui, Packet4f>(int_odd);
2240  return F32ToBf16(float_even, float_odd);
2241 }
2242 
2243 
2244 template<> EIGEN_STRONG_INLINE Packet4i preinterpret<Packet4i,Packet4f>(const Packet4f& a) {
2245  return reinterpret_cast<Packet4i>(a);
2246 }
2247 
2248 template<> EIGEN_STRONG_INLINE Packet4f preinterpret<Packet4f,Packet4i>(const Packet4i& a) {
2249  return reinterpret_cast<Packet4f>(a);
2250 }
2251 
2252 
2253 
2254 //---------- double ----------
2255 #ifdef __VSX__
2256 typedef __vector double Packet2d;
2257 typedef __vector unsigned long long Packet2ul;
2258 typedef __vector long long Packet2l;
2259 #if EIGEN_COMP_CLANG
2260 typedef Packet2ul Packet2bl;
2261 #else
2262 typedef __vector __bool long Packet2bl;
2263 #endif
2264 
2265 static Packet2l p2l_ONE = { 1, 1 };
2266 static Packet2l p2l_ZERO = reinterpret_cast<Packet2l>(p4i_ZERO);
2267 static Packet2ul p2ul_SIGN = { 0x8000000000000000ull, 0x8000000000000000ull };
2268 static Packet2ul p2ul_PREV0DOT5 = { 0x3FDFFFFFFFFFFFFFull, 0x3FDFFFFFFFFFFFFFull };
2269 static Packet2d p2d_ONE = { 1.0, 1.0 };
2270 static Packet2d p2d_ZERO = reinterpret_cast<Packet2d>(p4f_ZERO);
2271 static Packet2d p2d_MZERO = { numext::bit_cast<double>(0x8000000000000000ull),
2272  numext::bit_cast<double>(0x8000000000000000ull) };
2273 
2274 #ifdef _BIG_ENDIAN
2275 static Packet2d p2d_COUNTDOWN = reinterpret_cast<Packet2d>(vec_sld(reinterpret_cast<Packet4f>(p2d_ZERO), reinterpret_cast<Packet4f>(p2d_ONE), 8));
2276 #else
2277 static Packet2d p2d_COUNTDOWN = reinterpret_cast<Packet2d>(vec_sld(reinterpret_cast<Packet4f>(p2d_ONE), reinterpret_cast<Packet4f>(p2d_ZERO), 8));
2278 #endif
2279 
2280 template<int index> Packet2d vec_splat_dbl(Packet2d& a)
2281 {
2282  return vec_splat(a, index);
2283 }
2284 
2285 template<> struct packet_traits<double> : default_packet_traits
2286 {
2287  typedef Packet2d type;
2288  typedef Packet2d half;
2289  enum {
2290  Vectorizable = 1,
2291  AlignedOnScalar = 1,
2292  size=2,
2293  HasHalfPacket = 1,
2294 
2295  HasAdd = 1,
2296  HasSub = 1,
2297  HasMul = 1,
2298  HasDiv = 1,
2299  HasMin = 1,
2300  HasMax = 1,
2301  HasAbs = 1,
2302  HasSin = 0,
2303  HasCos = 0,
2304  HasLog = 0,
2305  HasExp = 1,
2306  HasSqrt = 1,
2307  HasRsqrt = 1,
2308  HasRound = 1,
2309  HasFloor = 1,
2310  HasCeil = 1,
2311  HasRint = 1,
2312  HasNegate = 1,
2313  HasBlend = 1
2314  };
2315 };
2316 
2317 template<> struct unpacket_traits<Packet2d> { typedef double type; enum {size=2, alignment=Aligned16, vectorizable=true, masked_load_available=false, masked_store_available=false}; typedef Packet2d half; };
2318 
2319 inline std::ostream & operator <<(std::ostream & s, const Packet2l & v)
2320 {
2321  union {
2322  Packet2l v;
2323  int64_t n[2];
2324  } vt;
2325  vt.v = v;
2326  s << vt.n[0] << ", " << vt.n[1];
2327  return s;
2328 }
2329 
2330 inline std::ostream & operator <<(std::ostream & s, const Packet2d & v)
2331 {
2332  union {
2333  Packet2d v;
2334  double n[2];
2335  } vt;
2336  vt.v = v;
2337  s << vt.n[0] << ", " << vt.n[1];
2338  return s;
2339 }
2340 
2341 // Need to define them first or we get specialization after instantiation errors
2342 template<> EIGEN_STRONG_INLINE Packet2d pload<Packet2d>(const double* from)
2343 {
2344  EIGEN_DEBUG_ALIGNED_LOAD
2345  return vec_xl(0, const_cast<double *>(from)); // cast needed by Clang
2346 }
2347 
2348 template<> EIGEN_STRONG_INLINE void pstore<double>(double* to, const Packet2d& from)
2349 {
2350  EIGEN_DEBUG_ALIGNED_STORE
2351  vec_xst(from, 0, to);
2352 }
2353 
2354 template<> EIGEN_STRONG_INLINE Packet2d pset1<Packet2d>(const double& from) {
2355  Packet2d v = {from, from};
2356  return v;
2357 }
2358 
2359 template<> EIGEN_STRONG_INLINE Packet2d pset1frombits<Packet2d>(unsigned long from) {
2360  Packet2l v = {static_cast<long long>(from), static_cast<long long>(from)};
2361  return reinterpret_cast<Packet2d>(v);
2362 }
2363 
2364 template<> EIGEN_STRONG_INLINE void
2365 pbroadcast4<Packet2d>(const double *a,
2366  Packet2d& a0, Packet2d& a1, Packet2d& a2, Packet2d& a3)
2367 {
2368  //This way is faster than vec_splat (at least for doubles in Power 9)
2369  a0 = pset1<Packet2d>(a[0]);
2370  a1 = pset1<Packet2d>(a[1]);
2371  a2 = pset1<Packet2d>(a[2]);
2372  a3 = pset1<Packet2d>(a[3]);
2373 }
2374 
2375 template<> EIGEN_DEVICE_FUNC inline Packet2d pgather<double, Packet2d>(const double* from, Index stride)
2376 {
2377  EIGEN_ALIGN16 double af[2];
2378  af[0] = from[0*stride];
2379  af[1] = from[1*stride];
2380  return pload<Packet2d>(af);
2381 }
2382 template<> EIGEN_DEVICE_FUNC inline void pscatter<double, Packet2d>(double* to, const Packet2d& from, Index stride)
2383 {
2384  EIGEN_ALIGN16 double af[2];
2385  pstore<double>(af, from);
2386  to[0*stride] = af[0];
2387  to[1*stride] = af[1];
2388 }
2389 
2390 template<> EIGEN_STRONG_INLINE Packet2d plset<Packet2d>(const double& a) { return pset1<Packet2d>(a) + p2d_COUNTDOWN; }
2391 
2392 template<> EIGEN_STRONG_INLINE Packet2d padd<Packet2d>(const Packet2d& a, const Packet2d& b) { return a + b; }
2393 
2394 template<> EIGEN_STRONG_INLINE Packet2d psub<Packet2d>(const Packet2d& a, const Packet2d& b) { return a - b; }
2395 
2396 template<> EIGEN_STRONG_INLINE Packet2d pnegate(const Packet2d& a) { return p2d_ZERO - a; }
2397 
2398 template<> EIGEN_STRONG_INLINE Packet2d pconj(const Packet2d& a) { return a; }
2399 
2400 template<> EIGEN_STRONG_INLINE Packet2d pmul<Packet2d>(const Packet2d& a, const Packet2d& b) { return vec_madd(a,b,p2d_MZERO); }
2401 template<> EIGEN_STRONG_INLINE Packet2d pdiv<Packet2d>(const Packet2d& a, const Packet2d& b) { return vec_div(a,b); }
2402 
2403 // for some weird raisons, it has to be overloaded for packet of integers
2404 template<> EIGEN_STRONG_INLINE Packet2d pmadd(const Packet2d& a, const Packet2d& b, const Packet2d& c) { return vec_madd(a, b, c); }
2405 
2406 template<> EIGEN_STRONG_INLINE Packet2d pmin<Packet2d>(const Packet2d& a, const Packet2d& b)
2407 {
2408  // NOTE: about 10% slower than vec_min, but consistent with std::min and SSE regarding NaN
2409  Packet2d ret;
2410  __asm__ ("xvcmpgedp %x0,%x1,%x2\n\txxsel %x0,%x1,%x2,%x0" : "=&wa" (ret) : "wa" (a), "wa" (b));
2411  return ret;
2412  }
2413 
2414 template<> EIGEN_STRONG_INLINE Packet2d pmax<Packet2d>(const Packet2d& a, const Packet2d& b)
2415 {
2416  // NOTE: about 10% slower than vec_max, but consistent with std::max and SSE regarding NaN
2417  Packet2d ret;
2418  __asm__ ("xvcmpgtdp %x0,%x2,%x1\n\txxsel %x0,%x1,%x2,%x0" : "=&wa" (ret) : "wa" (a), "wa" (b));
2419  return ret;
2420 }
2421 
2422 template<> EIGEN_STRONG_INLINE Packet2d pcmp_le(const Packet2d& a, const Packet2d& b) { return reinterpret_cast<Packet2d>(vec_cmple(a,b)); }
2423 template<> EIGEN_STRONG_INLINE Packet2d pcmp_lt(const Packet2d& a, const Packet2d& b) { return reinterpret_cast<Packet2d>(vec_cmplt(a,b)); }
2424 template<> EIGEN_STRONG_INLINE Packet2d pcmp_eq(const Packet2d& a, const Packet2d& b) { return reinterpret_cast<Packet2d>(vec_cmpeq(a,b)); }
2425 template<> EIGEN_STRONG_INLINE Packet2d pcmp_lt_or_nan(const Packet2d& a, const Packet2d& b) {
2426  Packet2d c = reinterpret_cast<Packet2d>(vec_cmpge(a,b));
2427  return vec_nor(c,c);
2428 }
2429 
2430 template<> EIGEN_STRONG_INLINE Packet2d pand<Packet2d>(const Packet2d& a, const Packet2d& b) { return vec_and(a, b); }
2431 
2432 template<> EIGEN_STRONG_INLINE Packet2d por<Packet2d>(const Packet2d& a, const Packet2d& b) { return vec_or(a, b); }
2433 
2434 template<> EIGEN_STRONG_INLINE Packet2d pxor<Packet2d>(const Packet2d& a, const Packet2d& b) { return vec_xor(a, b); }
2435 
2436 template<> EIGEN_STRONG_INLINE Packet2d pandnot<Packet2d>(const Packet2d& a, const Packet2d& b) { return vec_and(a, vec_nor(b, b)); }
2437 
2438 template<> EIGEN_STRONG_INLINE Packet2d pround<Packet2d>(const Packet2d& a)
2439 {
2440  Packet2d t = vec_add(reinterpret_cast<Packet2d>(vec_or(vec_and(reinterpret_cast<Packet2ul>(a), p2ul_SIGN), p2ul_PREV0DOT5)), a);
2441  Packet2d res;
2442 
2443  __asm__("xvrdpiz %x0, %x1\n\t"
2444  : "=&wa" (res)
2445  : "wa" (t));
2446 
2447  return res;
2448 }
2449 template<> EIGEN_STRONG_INLINE Packet2d pceil<Packet2d>(const Packet2d& a) { return vec_ceil(a); }
2450 template<> EIGEN_STRONG_INLINE Packet2d pfloor<Packet2d>(const Packet2d& a) { return vec_floor(a); }
2451 template<> EIGEN_STRONG_INLINE Packet2d print<Packet2d>(const Packet2d& a)
2452 {
2453  Packet2d res;
2454 
2455  __asm__("xvrdpic %x0, %x1\n\t"
2456  : "=&wa" (res)
2457  : "wa" (a));
2458 
2459  return res;
2460 }
2461 
2462 template<> EIGEN_STRONG_INLINE Packet2d ploadu<Packet2d>(const double* from)
2463 {
2464  EIGEN_DEBUG_UNALIGNED_LOAD
2465  return vec_xl(0, const_cast<double*>(from));
2466 }
2467 
2468 template<> EIGEN_STRONG_INLINE Packet2d ploaddup<Packet2d>(const double* from)
2469 {
2470  Packet2d p;
2471  if((std::ptrdiff_t(from) % 16) == 0) p = pload<Packet2d>(from);
2472  else p = ploadu<Packet2d>(from);
2473  return vec_splat_dbl<0>(p);
2474 }
2475 
2476 template<> EIGEN_STRONG_INLINE void pstoreu<double>(double* to, const Packet2d& from)
2477 {
2478  EIGEN_DEBUG_UNALIGNED_STORE
2479  vec_xst(from, 0, to);
2480 }
2481 
2482 template<> EIGEN_STRONG_INLINE void prefetch<double>(const double* addr) { EIGEN_PPC_PREFETCH(addr); }
2483 
2484 template<> EIGEN_STRONG_INLINE double pfirst<Packet2d>(const Packet2d& a) { EIGEN_ALIGN16 double x[2]; pstore<double>(x, a); return x[0]; }
2485 
2486 template<> EIGEN_STRONG_INLINE Packet2d preverse(const Packet2d& a)
2487 {
2488  return reinterpret_cast<Packet2d>(vec_perm(reinterpret_cast<Packet16uc>(a), reinterpret_cast<Packet16uc>(a), p16uc_REVERSE64));
2489 }
2490 template<> EIGEN_STRONG_INLINE Packet2d pabs(const Packet2d& a) { return vec_abs(a); }
2491 
2492 // VSX support varies between different compilers and even different
2493 // versions of the same compiler. For gcc version >= 4.9.3, we can use
2494 // vec_cts to efficiently convert Packet2d to Packet2l. Otherwise, use
2495 // a slow version that works with older compilers.
2496 // Update: apparently vec_cts/vec_ctf intrinsics for 64-bit doubles
2497 // are buggy, https://gcc.gnu.org/bugzilla/show_bug.cgi?id=70963
2498 template<>
2499 inline Packet2l pcast<Packet2d, Packet2l>(const Packet2d& x) {
2500 #if EIGEN_GNUC_AT_LEAST(5, 4) || \
2501  (EIGEN_GNUC_AT(6, 1) && __GNUC_PATCHLEVEL__ >= 1)
2502  return vec_cts(x, 0); // TODO: check clang version.
2503 #else
2504  double tmp[2];
2505  memcpy(tmp, &x, sizeof(tmp));
2506  Packet2l l = { static_cast<long long>(tmp[0]),
2507  static_cast<long long>(tmp[1]) };
2508  return l;
2509 #endif
2510 }
2511 
2512 template<>
2513 inline Packet2d pcast<Packet2l, Packet2d>(const Packet2l& x) {
2514  unsigned long long tmp[2];
2515  memcpy(tmp, &x, sizeof(tmp));
2516  Packet2d d = { static_cast<double>(tmp[0]),
2517  static_cast<double>(tmp[1]) };
2518  return d;
2519 }
2520 
2521 
2522 // Packet2l shifts.
2523 // For POWER8 we simply use vec_sr/l.
2524 //
2525 // Things are more complicated for POWER7. There is actually a
2526 // vec_xxsxdi intrinsic but it is not supported by some gcc versions.
2527 // So we need to shift by N % 32 and rearrage bytes.
2528 #ifdef __POWER8_VECTOR__
2529 
2530 template<int N>
2531 EIGEN_STRONG_INLINE Packet2l plogical_shift_left(const Packet2l& a) {
2532  const Packet2ul shift = { N, N };
2533  return vec_sl(a, shift);
2534 }
2535 
2536 template<int N>
2537 EIGEN_STRONG_INLINE Packet2l plogical_shift_right(const Packet2l& a) {
2538  const Packet2ul shift = { N, N };
2539  return vec_sr(a, shift);
2540 }
2541 
2542 #else
2543 
2544 // Shifts [A, B, C, D] to [B, 0, D, 0].
2545 // Used to implement left shifts for Packet2l.
2546 EIGEN_ALWAYS_INLINE Packet4i shift_even_left(const Packet4i& a) {
2547  static const Packet16uc perm = {
2548  0x14, 0x15, 0x16, 0x17, 0x00, 0x01, 0x02, 0x03,
2549  0x1c, 0x1d, 0x1e, 0x1f, 0x08, 0x09, 0x0a, 0x0b };
2550  #ifdef _BIG_ENDIAN
2551  return vec_perm(p4i_ZERO, a, perm);
2552  #else
2553  return vec_perm(a, p4i_ZERO, perm);
2554  #endif
2555 }
2556 
2557 // Shifts [A, B, C, D] to [0, A, 0, C].
2558 // Used to implement right shifts for Packet2l.
2559 EIGEN_ALWAYS_INLINE Packet4i shift_odd_right(const Packet4i& a) {
2560  static const Packet16uc perm = {
2561  0x04, 0x05, 0x06, 0x07, 0x10, 0x11, 0x12, 0x13,
2562  0x0c, 0x0d, 0x0e, 0x0f, 0x18, 0x19, 0x1a, 0x1b };
2563  #ifdef _BIG_ENDIAN
2564  return vec_perm(p4i_ZERO, a, perm);
2565  #else
2566  return vec_perm(a, p4i_ZERO, perm);
2567  #endif
2568 }
2569 
2570 template<int N, typename EnableIf = void>
2571 struct plogical_shift_left_impl;
2572 
2573 template<int N>
2574 struct plogical_shift_left_impl<N, typename enable_if<(N < 32) && (N >= 0)>::type> {
2575  static EIGEN_STRONG_INLINE Packet2l run(const Packet2l& a) {
2576  static const unsigned n = static_cast<unsigned>(N);
2577  const Packet4ui shift = {n, n, n, n};
2578  const Packet4i ai = reinterpret_cast<Packet4i>(a);
2579  static const unsigned m = static_cast<unsigned>(32 - N);
2580  const Packet4ui shift_right = {m, m, m, m};
2581  const Packet4i out_hi = vec_sl(ai, shift);
2582  const Packet4i out_lo = shift_even_left(vec_sr(ai, shift_right));
2583  return reinterpret_cast<Packet2l>(por<Packet4i>(out_hi, out_lo));
2584  }
2585 };
2586 
2587 template<int N>
2588 struct plogical_shift_left_impl<N, typename enable_if<(N >= 32)>::type> {
2589  static EIGEN_STRONG_INLINE Packet2l run(const Packet2l& a) {
2590  static const unsigned m = static_cast<unsigned>(N - 32);
2591  const Packet4ui shift = {m, m, m, m};
2592  const Packet4i ai = reinterpret_cast<Packet4i>(a);
2593  return reinterpret_cast<Packet2l>(shift_even_left(vec_sl(ai, shift)));
2594  }
2595 };
2596 
2597 template<int N>
2598 EIGEN_STRONG_INLINE Packet2l plogical_shift_left(const Packet2l& a) {
2599  return plogical_shift_left_impl<N>::run(a);
2600 }
2601 
2602 template<int N, typename EnableIf = void>
2603 struct plogical_shift_right_impl;
2604 
2605 template<int N>
2606 struct plogical_shift_right_impl<N, typename enable_if<(N < 32) && (N >= 0)>::type> {
2607  static EIGEN_STRONG_INLINE Packet2l run(const Packet2l& a) {
2608  static const unsigned n = static_cast<unsigned>(N);
2609  const Packet4ui shift = {n, n, n, n};
2610  const Packet4i ai = reinterpret_cast<Packet4i>(a);
2611  static const unsigned m = static_cast<unsigned>(32 - N);
2612  const Packet4ui shift_left = {m, m, m, m};
2613  const Packet4i out_lo = vec_sr(ai, shift);
2614  const Packet4i out_hi = shift_odd_right(vec_sl(ai, shift_left));
2615  return reinterpret_cast<Packet2l>(por<Packet4i>(out_hi, out_lo));
2616  }
2617 };
2618 
2619 template<int N>
2620 struct plogical_shift_right_impl<N, typename enable_if<(N >= 32)>::type> {
2621  static EIGEN_STRONG_INLINE Packet2l run(const Packet2l& a) {
2622  static const unsigned m = static_cast<unsigned>(N - 32);
2623  const Packet4ui shift = {m, m, m, m};
2624  const Packet4i ai = reinterpret_cast<Packet4i>(a);
2625  return reinterpret_cast<Packet2l>(shift_odd_right(vec_sr(ai, shift)));
2626  }
2627 };
2628 
2629 template<int N>
2630 EIGEN_STRONG_INLINE Packet2l plogical_shift_right(const Packet2l& a) {
2631  return plogical_shift_right_impl<N>::run(a);
2632 }
2633 #endif
2634 
2635 template<> EIGEN_STRONG_INLINE Packet2d pldexp<Packet2d>(const Packet2d& a, const Packet2d& exponent) {
2636  // Clamp exponent to [-2099, 2099]
2637  const Packet2d max_exponent = pset1<Packet2d>(2099.0);
2638  const Packet2l e = pcast<Packet2d, Packet2l>(pmin(pmax(exponent, pnegate(max_exponent)), max_exponent));
2639 
2640  // Split 2^e into four factors and multiply:
2641  const Packet2l bias = { 1023, 1023 };
2642  Packet2l b = plogical_shift_right<2>(e); // floor(e/4)
2643  Packet2d c = reinterpret_cast<Packet2d>(plogical_shift_left<52>(b + bias));
2644  Packet2d out = pmul(pmul(pmul(a, c), c), c); // a * 2^(3b)
2645  b = psub(psub(psub(e, b), b), b); // e - 3b
2646  c = reinterpret_cast<Packet2d>(plogical_shift_left<52>(b + bias)); // 2^(e - 3b)
2647  out = pmul(out, c); // a * 2^e
2648  return out;
2649 }
2650 
2651 
2652 // Extract exponent without existence of Packet2l.
2653 template<>
2654 EIGEN_STRONG_INLINE
2655 Packet2d pfrexp_generic_get_biased_exponent(const Packet2d& a) {
2656  return pcast<Packet2l, Packet2d>(plogical_shift_right<52>(reinterpret_cast<Packet2l>(pabs(a))));
2657 }
2658 
2659 template<> EIGEN_STRONG_INLINE Packet2d pfrexp<Packet2d> (const Packet2d& a, Packet2d& exponent) {
2660  return pfrexp_generic(a, exponent);
2661 }
2662 
2663 template<> EIGEN_STRONG_INLINE double predux<Packet2d>(const Packet2d& a)
2664 {
2665  Packet2d b, sum;
2666  b = reinterpret_cast<Packet2d>(vec_sld(reinterpret_cast<Packet4f>(a), reinterpret_cast<Packet4f>(a), 8));
2667  sum = a + b;
2668  return pfirst<Packet2d>(sum);
2669 }
2670 
2671 // Other reduction functions:
2672 // mul
2673 template<> EIGEN_STRONG_INLINE double predux_mul<Packet2d>(const Packet2d& a)
2674 {
2675  return pfirst(pmul(a, reinterpret_cast<Packet2d>(vec_sld(reinterpret_cast<Packet4ui>(a), reinterpret_cast<Packet4ui>(a), 8))));
2676 }
2677 
2678 // min
2679 template<> EIGEN_STRONG_INLINE double predux_min<Packet2d>(const Packet2d& a)
2680 {
2681  return pfirst(pmin(a, reinterpret_cast<Packet2d>(vec_sld(reinterpret_cast<Packet4ui>(a), reinterpret_cast<Packet4ui>(a), 8))));
2682 }
2683 
2684 // max
2685 template<> EIGEN_STRONG_INLINE double predux_max<Packet2d>(const Packet2d& a)
2686 {
2687  return pfirst(pmax(a, reinterpret_cast<Packet2d>(vec_sld(reinterpret_cast<Packet4ui>(a), reinterpret_cast<Packet4ui>(a), 8))));
2688 }
2689 
2690 EIGEN_DEVICE_FUNC inline void
2691 ptranspose(PacketBlock<Packet2d,2>& kernel) {
2692  Packet2d t0, t1;
2693  t0 = vec_perm(kernel.packet[0], kernel.packet[1], p16uc_TRANSPOSE64_HI);
2694  t1 = vec_perm(kernel.packet[0], kernel.packet[1], p16uc_TRANSPOSE64_LO);
2695  kernel.packet[0] = t0;
2696  kernel.packet[1] = t1;
2697 }
2698 
2699 template<> EIGEN_STRONG_INLINE Packet2d pblend(const Selector<2>& ifPacket, const Packet2d& thenPacket, const Packet2d& elsePacket) {
2700  Packet2l select = { ifPacket.select[0], ifPacket.select[1] };
2701  Packet2bl mask = reinterpret_cast<Packet2bl>( vec_cmpeq(reinterpret_cast<Packet2d>(select), reinterpret_cast<Packet2d>(p2l_ONE)) );
2702  return vec_sel(elsePacket, thenPacket, mask);
2703 }
2704 
2705 
2706 #endif // __VSX__
2707 } // end namespace internal
2708 
2709 } // end namespace Eigen
2710 
2711 #endif // EIGEN_PACKET_MATH_ALTIVEC_H
Eigen::internal::pbroadcast4< Packet4i >
EIGEN_STRONG_INLINE void pbroadcast4< Packet4i >(const int *a, Packet4i &a0, Packet4i &a1, Packet4i &a2, Packet4i &a3)
Definition: AltiVec/PacketMath.h:597
Eigen::internal::pxor< Packet8us >
EIGEN_STRONG_INLINE Packet8us pxor< Packet8us >(const Packet8us &a, const Packet8us &b)
Definition: NEON/PacketMath.h:1551
gtsam.examples.DogLegOptimizerExample.int
int
Definition: DogLegOptimizerExample.py:111
Eigen::internal::unpacket_traits< Packet16c >::type
signed char type
Definition: AltiVec/PacketMath.h:354
Eigen::internal::Packet4i
__vector int Packet4i
Definition: AltiVec/PacketMath.h:31
Eigen::internal::eigen_packet_wrapper
Definition: GenericPacketMath.h:159
Eigen::internal::pround< Packet4f >
EIGEN_STRONG_INLINE Packet4f pround< Packet4f >(const Packet4f &a)
Definition: AltiVec/PacketMath.h:921
perm
idx_t idx_t idx_t idx_t idx_t * perm
Definition: include/metis.h:223
Eigen::internal::plset< Packet8bf >
EIGEN_STRONG_INLINE Packet8bf plset< Packet8bf >(const bfloat16 &a)
Definition: AltiVec/PacketMath.h:1438
Eigen::internal::pstore_common
EIGEN_STRONG_INLINE void pstore_common(__UNPACK_TYPE__(Packet) *to, const Packet &from)
Definition: AltiVec/PacketMath.h:479
Eigen::internal::pcmp_eq
EIGEN_STRONG_INLINE Packet2cf pcmp_eq(const Packet2cf &a, const Packet2cf &b)
Definition: AltiVec/Complex.h:231
Eigen::internal::pset1< Packet2d >
EIGEN_STRONG_INLINE Packet2d pset1< Packet2d >(const double &from)
Definition: MSA/PacketMath.h:872
Eigen::internal::pcmp_lt< Packet4f >
EIGEN_STRONG_INLINE Packet4f pcmp_lt< Packet4f >(const Packet4f &a, const Packet4f &b)
Definition: NEON/PacketMath.h:1339
Eigen::internal::pdiv< Packet2d >
EIGEN_STRONG_INLINE Packet2d pdiv< Packet2d >(const Packet2d &a, const Packet2d &b)
Definition: MSA/PacketMath.h:923
EIGEN_DEVICE_FUNC
#define EIGEN_DEVICE_FUNC
Definition: Macros.h:976
Eigen::internal::p16uc_FORWARD
static Packet16uc p16uc_FORWARD
Definition: AltiVec/PacketMath.h:124
Eigen::internal::Packet16uc
__vector unsigned char Packet16uc
Definition: AltiVec/PacketMath.h:37
Eigen::internal::packet_traits::HasAbs
@ HasAbs
Definition: GenericPacketMath.h:121
Eigen
Namespace containing all symbols from the Eigen library.
Definition: jet.h:637
Eigen::internal::pset1frombits< Packet4f >
EIGEN_STRONG_INLINE Packet4f pset1frombits< Packet4f >(unsigned int from)
Definition: AltiVec/PacketMath.h:571
Eigen::internal::p16uc_REVERSE32
static Packet16uc p16uc_REVERSE32
Definition: AltiVec/PacketMath.h:101
Eigen::internal::pload_common
EIGEN_STRONG_INLINE Packet pload_common(const __UNPACK_TYPE__(Packet) *from)
Definition: AltiVec/PacketMath.h:429
Eigen::internal::psqrt< Packet8bf >
EIGEN_STRONG_INLINE Packet8bf psqrt< Packet8bf >(const Packet8bf &a)
Definition: AltiVec/PacketMath.h:1344
Eigen::internal::predux_min< Packet16uc >
EIGEN_STRONG_INLINE unsigned char predux_min< Packet16uc >(const Packet16uc &a)
Definition: AltiVec/PacketMath.h:1673
Eigen::internal::pmax< Packet16uc >
EIGEN_STRONG_INLINE Packet16uc pmax< Packet16uc >(const Packet16uc &a, const Packet16uc &b)
Definition: AltiVec/PacketMath.h:865
Eigen::internal::_EIGEN_DECLARE_CONST_FAST_Packet8us
static _EIGEN_DECLARE_CONST_FAST_Packet8us(ONE, 1)
Eigen::internal::pcast< Packet8us, Packet8bf >
EIGEN_STRONG_INLINE Packet8bf pcast< Packet8us, Packet8bf >(const Packet8us &a)
Definition: AltiVec/PacketMath.h:2232
Eigen::internal::pmul< Packet2d >
EIGEN_STRONG_INLINE Packet2d pmul< Packet2d >(const Packet2d &a, const Packet2d &b)
Definition: MSA/PacketMath.h:916
Eigen::internal::pxor< Packet4i >
EIGEN_STRONG_INLINE Packet4i pxor< Packet4i >(const Packet4i &a, const Packet4i &b)
Definition: AltiVec/PacketMath.h:909
Eigen::internal::ploadquad< Packet8bf >
EIGEN_STRONG_INLINE Packet8bf ploadquad< Packet8bf >(const bfloat16 *from)
Definition: AltiVec/PacketMath.h:1045
Eigen::internal::p16uc_DUPLICATE16_HI
static Packet16uc p16uc_DUPLICATE16_HI
Definition: AltiVec/PacketMath.h:106
Eigen::internal::pexp< Packet8bf >
EIGEN_STRONG_INLINE Packet8bf pexp< Packet8bf >(const Packet8bf &a)
Definition: AltiVec/PacketMath.h:1350
Eigen::internal::plset< Packet16c >
EIGEN_STRONG_INLINE Packet16c plset< Packet16c >(const signed char &a)
Definition: AltiVec/PacketMath.h:771
Eigen::internal::pload< Packet4i >
EIGEN_STRONG_INLINE Packet4i pload< Packet4i >(const int *from)
Definition: AltiVec/PacketMath.h:448
Eigen::internal::default_packet_traits::HasLog
@ HasLog
Definition: GenericPacketMath.h:70
Eigen::internal::pfirst< Packet4i >
EIGEN_STRONG_INLINE int pfirst< Packet4i >(const Packet4i &a)
Definition: AltiVec/PacketMath.h:1121
Eigen::internal::pstoreu< signed char >
EIGEN_STRONG_INLINE void pstoreu< signed char >(signed char *to, const Packet16c &from)
Definition: AltiVec/PacketMath.h:1108
Eigen::internal::packet_traits::HasSub
@ HasSub
Definition: GenericPacketMath.h:118
Eigen::internal::pgather_common
EIGEN_DEVICE_FUNC Packet pgather_common(const __UNPACK_TYPE__(Packet) *from, Index stride)
Definition: AltiVec/PacketMath.h:603
Eigen::internal::ploadu< Packet8bf >
EIGEN_STRONG_INLINE Packet8bf ploadu< Packet8bf >(const bfloat16 *from)
Definition: AltiVec/PacketMath.h:984
Eigen::internal::pmul< Packet8us >
EIGEN_STRONG_INLINE Packet8us pmul< Packet8us >(const Packet8us &a, const Packet8us &b)
Definition: AltiVec/PacketMath.h:798
BF16_TO_F32_BINARY_OP_WRAPPER_BOOL
#define BF16_TO_F32_BINARY_OP_WRAPPER_BOOL(OP, A, B)
Definition: AltiVec/PacketMath.h:1315
Eigen::internal::packet_traits::size
@ size
Definition: GenericPacketMath.h:112
Eigen::internal::Packet4f
__vector float Packet4f
Definition: AltiVec/PacketMath.h:30
Eigen::internal::pceil< Packet8bf >
EIGEN_STRONG_INLINE Packet8bf pceil< Packet8bf >(const Packet8bf &a)
Definition: AltiVec/PacketMath.h:1387
Eigen::internal::pstore< short int >
EIGEN_STRONG_INLINE void pstore< short int >(short int *to, const Packet8s &from)
Definition: AltiVec/PacketMath.h:501
s
RealScalar s
Definition: level1_cplx_impl.h:126
e
Array< double, 1, 3 > e(1./3., 0.5, 2.)
Eigen::internal::pand< Packet4i >
EIGEN_STRONG_INLINE Packet4i pand< Packet4i >(const Packet4i &a, const Packet4i &b)
Definition: AltiVec/PacketMath.h:892
d
static const double d[K][N]
Definition: igam.h:11
Eigen::internal::unpacket_traits< Packet16uc >::half
Packet16uc half
Definition: AltiVec/PacketMath.h:361
Eigen::internal::pldexp< Packet4f >
EIGEN_STRONG_INLINE Packet4f pldexp< Packet4f >(const Packet4f &a, const Packet4f &exponent)
Definition: AltiVec/PacketMath.h:1354
Eigen::internal::unpacket_traits< Packet4f >::integer_packet
Packet4i integer_packet
Definition: AltiVec/PacketMath.h:330
Eigen::internal::pset1< Packet16uc >
EIGEN_STRONG_INLINE Packet16uc pset1< Packet16uc >(const unsigned char &from)
Definition: AltiVec/PacketMath.h:567
Eigen::internal::pfloor< Packet4f >
EIGEN_STRONG_INLINE Packet4f pfloor< Packet4f >(const Packet4f &a)
Definition: AltiVec/PacketMath.h:939
Eigen::internal::ploadquad< Packet8us >
EIGEN_STRONG_INLINE Packet8us ploadquad< Packet8us >(const unsigned short int *from)
Definition: AltiVec/PacketMath.h:1037
Eigen::internal::unpacket_traits< Packet4i >::type
int type
Definition: AltiVec/PacketMath.h:335
Eigen::internal::pmax< Packet8us >
EIGEN_STRONG_INLINE Packet8us pmax< Packet8us >(const Packet8us &a, const Packet8us &b)
Definition: AltiVec/PacketMath.h:863
Eigen::internal::pfloor< Packet8bf >
EIGEN_STRONG_INLINE Packet8bf pfloor< Packet8bf >(const Packet8bf &a)
Definition: AltiVec/PacketMath.h:1384
Eigen::internal::predux< Packet16c >
EIGEN_STRONG_INLINE signed char predux< Packet16c >(const Packet16c &a)
Definition: AltiVec/PacketMath.h:1521
Eigen::internal::pgather_size16
EIGEN_DEVICE_FUNC Packet pgather_size16(const __UNPACK_TYPE__(Packet) *from, Index stride)
Definition: AltiVec/PacketMath.h:652
Eigen::internal::predux_max< Packet2d >
EIGEN_STRONG_INLINE double predux_max< Packet2d >(const Packet2d &a)
Definition: MSA/PacketMath.h:1116
Eigen::internal::PacketBlock
Definition: GenericPacketMath.h:1014
Eigen::internal::p16uc_REVERSE8
static Packet16uc p16uc_REVERSE8
Definition: AltiVec/PacketMath.h:103
Eigen::internal::pset1frombits< Packet2d >
EIGEN_STRONG_INLINE Packet2d pset1frombits< Packet2d >(uint64_t from)
Definition: SSE/PacketMath.h:264
Eigen::internal::pgather< float, Packet4f >
EIGEN_DEVICE_FUNC Packet4f pgather< float, Packet4f >(const float *from, Index stride)
Definition: AltiVec/PacketMath.h:613
Eigen::internal::packet_traits< bfloat16 >::type
Packet8bf type
Definition: AltiVec/PacketMath.h:194
Eigen::internal::pcast< Packet4ui, Packet4f >
EIGEN_STRONG_INLINE Packet4f pcast< Packet4ui, Packet4f >(const Packet4ui &a)
Definition: AltiVec/PacketMath.h:2202
c
Scalar Scalar * c
Definition: benchVecAdd.cpp:17
b
Scalar * b
Definition: benchVecAdd.cpp:17
edges
vector< MFAS::KeyPair > edges
Definition: testMFAS.cpp:25
Eigen::internal::pcmp_lt
EIGEN_STRONG_INLINE Packet4f pcmp_lt(const Packet4f &a, const Packet4f &b)
Definition: AltiVec/PacketMath.h:868
Eigen::internal::ploadquad< Packet8s >
EIGEN_STRONG_INLINE Packet8s ploadquad< Packet8s >(const short int *from)
Definition: AltiVec/PacketMath.h:1029
eigen_assert
#define eigen_assert(x)
Definition: Macros.h:1037
Eigen::internal::pstore< bfloat16 >
EIGEN_STRONG_INLINE void pstore< bfloat16 >(bfloat16 *to, const Packet8bf &from)
Definition: AltiVec/PacketMath.h:511
Eigen::internal::por< Packet4ui >
EIGEN_STRONG_INLINE Packet4ui por< Packet4ui >(const Packet4ui &a, const Packet4ui &b)
Definition: NEON/PacketMath.h:1524
Eigen::internal::p4i_COUNTDOWN
static Packet4i p4i_COUNTDOWN
Definition: AltiVec/PacketMath.h:92
Eigen::bfloat16_impl::raw_uint16_to_bfloat16
EIGEN_STRONG_INLINE EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR __bfloat16_raw raw_uint16_to_bfloat16(unsigned short value)
Definition: BFloat16.h:263
Eigen::internal::pfirst
EIGEN_STRONG_INLINE bfloat16 pfirst(const Packet8bf &a)
Definition: AltiVec/PacketMath.h:1429
Eigen::internal::ploaddup< Packet2d >
EIGEN_STRONG_INLINE Packet2d ploaddup< Packet2d >(const double *from)
Definition: MSA/PacketMath.h:1011
Eigen::internal::psub< Packet4f >
EIGEN_STRONG_INLINE Packet4f psub< Packet4f >(const Packet4f &a, const Packet4f &b)
Definition: AltiVec/PacketMath.h:782
Eigen::internal::plset< Packet4i >
EIGEN_STRONG_INLINE Packet4i plset< Packet4i >(const int &a)
Definition: AltiVec/PacketMath.h:768
Eigen::internal::pcast< Packet4i, Packet4f >
EIGEN_STRONG_INLINE Packet4f pcast< Packet4i, Packet4f >(const Packet4i &a)
Definition: AltiVec/PacketMath.h:2198
x
set noclip points set clip one set noclip two set bar set border lt lw set xdata set ydata set zdata set x2data set y2data set boxwidth set dummy x
Definition: gnuplot_common_settings.hh:12
Eigen::internal::pstoreu< unsigned char >
EIGEN_STRONG_INLINE void pstoreu< unsigned char >(unsigned char *to, const Packet16uc &from)
Definition: AltiVec/PacketMath.h:1112
Eigen::internal::p16uc_REVERSE16
static Packet16uc p16uc_REVERSE16
Definition: AltiVec/PacketMath.h:102
Eigen::internal::pexp_float
EIGEN_DEFINE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS EIGEN_UNUSED Packet pexp_float(const Packet _x)
Definition: GenericPacketMathFunctions.h:439
Eigen::internal::pnegate< Packet8bf >
EIGEN_STRONG_INLINE Packet8bf pnegate< Packet8bf >(const Packet8bf &a)
Definition: AltiVec/PacketMath.h:1336
Eigen::internal::Selector
Definition: GenericPacketMath.h:1027
Eigen::internal::pbroadcast4< Packet4f >
EIGEN_STRONG_INLINE void pbroadcast4< Packet4f >(const float *a, Packet4f &a0, Packet4f &a1, Packet4f &a2, Packet4f &a3)
Definition: AltiVec/PacketMath.h:591
ret
DenseIndex ret
Definition: level1_cplx_impl.h:44
Eigen::internal::packet_traits
Definition: GenericPacketMath.h:106
Eigen::internal::pldexp< Packet8bf >
EIGEN_STRONG_INLINE Packet8bf pldexp< Packet8bf >(const Packet8bf &a, const Packet8bf &exponent)
Definition: AltiVec/PacketMath.h:1357
Eigen::internal::parithmetic_shift_right
EIGEN_STRONG_INLINE Packet4i parithmetic_shift_right(const Packet4i &a)
Definition: AltiVec/PacketMath.h:1187
Eigen::internal::pcast< Packet4f, Packet4ui >
EIGEN_STRONG_INLINE Packet4ui pcast< Packet4f, Packet4ui >(const Packet4f &a)
Definition: AltiVec/PacketMath.h:2194
Eigen::internal::predux< Packet8us >
EIGEN_STRONG_INLINE unsigned short int predux< Packet8us >(const Packet8us &a)
Definition: AltiVec/PacketMath.h:1494
Eigen::internal::_EIGEN_DECLARE_CONST_FAST_Packet4f
static _EIGEN_DECLARE_CONST_FAST_Packet4f(ZERO, 0)
Eigen::internal::pfirst< Packet16uc >
EIGEN_STRONG_INLINE unsigned char pfirst< Packet16uc >(const Packet16uc &a)
Definition: AltiVec/PacketMath.h:1142
biased_x_rotation::bias
const Vector3 bias(1, 2, 3)
Eigen::internal::pload< Packet8bf >
EIGEN_STRONG_INLINE Packet8bf pload< Packet8bf >(const bfloat16 *from)
Definition: AltiVec/PacketMath.h:473
Eigen::internal::ploadu< Packet4i >
EIGEN_STRONG_INLINE Packet4i ploadu< Packet4i >(const int *from)
Definition: AltiVec/PacketMath.h:972
Eigen::internal::preverse
EIGEN_STRONG_INLINE Packet2cf preverse(const Packet2cf &a)
Definition: AltiVec/Complex.h:184
Eigen::internal::unpacket_traits< Packet8s >::half
Packet8s half
Definition: AltiVec/PacketMath.h:342
Eigen::internal::packet_traits::type
T type
Definition: GenericPacketMath.h:108
Eigen::internal::pstoreu< short int >
EIGEN_STRONG_INLINE void pstoreu< short int >(short int *to, const Packet8s &from)
Definition: AltiVec/PacketMath.h:1096
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Packet packet[N]
Definition: GenericPacketMath.h:1018
Eigen::internal::packet_traits::HasMin
@ HasMin
Definition: GenericPacketMath.h:123
Eigen::internal::por< Packet8bf >
EIGEN_STRONG_INLINE Packet8bf por< Packet8bf >(const Packet8bf &a, const Packet8bf &b)
Definition: AltiVec/PacketMath.h:904
Eigen::internal::plog_float
EIGEN_DEFINE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS EIGEN_UNUSED Packet plog_float(const Packet _x)
Definition: GenericPacketMathFunctions.h:254
type
Definition: pytypes.h:1525
Eigen::internal::unpacket_traits< Packet4i >::half
Packet4i half
Definition: AltiVec/PacketMath.h:336
Eigen::internal::Bf16ToF32Even
EIGEN_STRONG_INLINE Packet4f Bf16ToF32Even(const Packet8bf &bf)
Definition: AltiVec/PacketMath.h:1230
Eigen::internal::predux_max< Packet16c >
EIGEN_STRONG_INLINE signed char predux_max< Packet16c >(const Packet16c &a)
Definition: AltiVec/PacketMath.h:1741
Eigen::internal::pscatter< bfloat16, Packet8bf >
EIGEN_DEVICE_FUNC void pscatter< bfloat16, Packet8bf >(bfloat16 *to, const Packet8bf &from, Index stride)
Definition: AltiVec/PacketMath.h:730
Eigen::internal::_EIGEN_DECLARE_CONST_FAST_Packet4ui
static _EIGEN_DECLARE_CONST_FAST_Packet4ui(SIGN, 0x80000000u)
Eigen::internal::pfrexp< Packet2d >
EIGEN_STRONG_INLINE Packet2d pfrexp< Packet2d >(const Packet2d &a, Packet2d &exponent)
Definition: SSE/PacketMath.h:918
Eigen::internal::packet_traits< unsigned short int >::half
Packet8us half
Definition: AltiVec/PacketMath.h:275
Eigen::internal::pandnot< Packet4i >
EIGEN_STRONG_INLINE Packet4i pandnot< Packet4i >(const Packet4i &a, const Packet4i &b)
Definition: AltiVec/PacketMath.h:915
Eigen::internal::Selector::select
bool select[N]
Definition: GenericPacketMath.h:1031
Eigen::internal::unpacket_traits< Packet8us >::type
unsigned short int type
Definition: AltiVec/PacketMath.h:347
Eigen::internal::p16uc_DUPLICATE16_ODD
static const Packet16uc p16uc_DUPLICATE16_ODD
Definition: AltiVec/PacketMath.h:109
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
gtsam::internal::align
static Similarity3 align(const Point3Pairs &d_abPointPairs, const Rot3 &aRb, const Point3Pair &centroids)
This method estimates the similarity transform from differences point pairs,.
Definition: Similarity3.cpp:69
Eigen::internal::ploaddup< Packet16c >
EIGEN_STRONG_INLINE Packet16c ploaddup< Packet16c >(const signed char *from)
Definition: AltiVec/PacketMath.h:1050
Eigen::internal::predux_min< Packet8s >
EIGEN_STRONG_INLINE short int predux_min< Packet8s >(const Packet8s &a)
Definition: AltiVec/PacketMath.h:1631
Eigen::internal::pstore< signed char >
EIGEN_STRONG_INLINE void pstore< signed char >(signed char *to, const Packet16c &from)
Definition: AltiVec/PacketMath.h:516
Eigen::internal::predux_max< Packet4f >
EIGEN_STRONG_INLINE float predux_max< Packet4f >(const Packet4f &a)
Definition: AltiVec/PacketMath.h:1693
Eigen::internal::pstoreu< unsigned short int >
EIGEN_STRONG_INLINE void pstoreu< unsigned short int >(unsigned short int *to, const Packet8us &from)
Definition: AltiVec/PacketMath.h:1100
Eigen::internal::packet_traits< float >::half
Packet4f half
Definition: AltiVec/PacketMath.h:153
res
cout<< "Here is the matrix m:"<< endl<< m<< endl;Matrix< ptrdiff_t, 3, 1 > res
Definition: PartialRedux_count.cpp:3
Eigen::internal::ploadu< Packet8us >
EIGEN_STRONG_INLINE Packet8us ploadu< Packet8us >(const unsigned short int *from)
Definition: AltiVec/PacketMath.h:980
Eigen::internal::prefetch< float >
EIGEN_STRONG_INLINE void prefetch< float >(const float *addr)
Definition: AltiVec/PacketMath.h:1117
Eigen::internal::pcmp_le< Packet4f >
EIGEN_STRONG_INLINE Packet4f pcmp_le< Packet4f >(const Packet4f &a, const Packet4f &b)
Definition: NEON/PacketMath.h:1278
exp
const EIGEN_DEVICE_FUNC ExpReturnType exp() const
Definition: ArrayCwiseUnaryOps.h:97
Eigen::internal::preinterpret< Packet4f, Packet4i >
EIGEN_STRONG_INLINE Packet4f preinterpret< Packet4f, Packet4i >(const Packet4i &a)
Definition: AltiVec/PacketMath.h:2248
Eigen::internal::ploadu< Packet4f >
EIGEN_STRONG_INLINE Packet4f ploadu< Packet4f >(const float *from)
Definition: AltiVec/PacketMath.h:968
Eigen::internal::pstoreu< int >
EIGEN_STRONG_INLINE void pstoreu< int >(int *to, const Packet4i &from)
Definition: AltiVec/PacketMath.h:1092
Eigen::internal::packet_traits< signed char >::half
Packet16c half
Definition: AltiVec/PacketMath.h:293
Eigen::internal::padd< Packet8us >
EIGEN_STRONG_INLINE Packet8us padd< Packet8us >(const Packet8us &a, const Packet8us &b)
Definition: AltiVec/PacketMath.h:778
Eigen::internal::unpacket_traits::vectorizable
@ vectorizable
Definition: GenericPacketMath.h:140
Eigen::internal::ploadu_common
EIGEN_STRONG_INLINE Packet ploadu_common(const __UNPACK_TYPE__(Packet) *from)
Definition: AltiVec/PacketMath.h:951
Eigen::internal::pgather< double, Packet2d >
EIGEN_DEVICE_FUNC Packet2d pgather< double, Packet2d >(const double *from, Index stride)
Definition: MSA/PacketMath.h:1033
Eigen::internal::default_packet_traits::HasBlend
@ HasBlend
Definition: GenericPacketMath.h:60
Eigen::internal::default_packet_traits::HasCos
@ HasCos
Definition: GenericPacketMath.h:76
Eigen::internal::predux_max< Packet16uc >
EIGEN_STRONG_INLINE unsigned char predux_max< Packet16uc >(const Packet16uc &a)
Definition: AltiVec/PacketMath.h:1753
Eigen::internal::default_packet_traits
Definition: GenericPacketMath.h:42
Eigen::internal::pand< Packet8us >
EIGEN_STRONG_INLINE Packet8us pand< Packet8us >(const Packet8us &a, const Packet8us &b)
Definition: AltiVec/PacketMath.h:894
result
Values result
Definition: OdometryOptimize.cpp:8
Eigen::internal::pdiv< Packet8bf >
EIGEN_STRONG_INLINE Packet8bf pdiv< Packet8bf >(const Packet8bf &a, const Packet8bf &b)
Definition: AltiVec/PacketMath.h:1332
Eigen::internal::pblend4
EIGEN_STRONG_INLINE Packet pblend4(const Selector< 4 > &ifPacket, const Packet &thenPacket, const Packet &elsePacket)
Definition: AltiVec/PacketMath.h:2101
Eigen::internal::por< Packet8us >
EIGEN_STRONG_INLINE Packet8us por< Packet8us >(const Packet8us &a, const Packet8us &b)
Definition: AltiVec/PacketMath.h:903
Eigen::internal::F32ToBf16Bool
EIGEN_STRONG_INLINE Packet8bf F32ToBf16Bool(Packet4f even, Packet4f odd)
Definition: AltiVec/PacketMath.h:1244
Eigen::internal::predux_mul< Packet16c >
EIGEN_STRONG_INLINE signed char predux_mul< Packet16c >(const Packet16c &a)
Definition: AltiVec/PacketMath.h:1578
Eigen::internal::pldexp< Packet2d >
EIGEN_STRONG_INLINE Packet2d pldexp< Packet2d >(const Packet2d &a, const Packet2d &exponent)
Definition: SSE/PacketMath.h:928
Eigen::internal::pfrexp< Packet4f >
EIGEN_STRONG_INLINE Packet4f pfrexp< Packet4f >(const Packet4f &a, Packet4f &exponent)
Definition: AltiVec/PacketMath.h:1361
Eigen::bfloat16
Definition: BFloat16.h:58
Eigen::internal::pload< Packet4f >
EIGEN_STRONG_INLINE Packet4f pload< Packet4f >(const float *from)
Definition: AltiVec/PacketMath.h:443
Eigen::internal::plog< Packet8bf >
EIGEN_STRONG_INLINE Packet8bf plog< Packet8bf >(const Packet8bf &a)
Definition: AltiVec/PacketMath.h:1381
Eigen::internal::por< Packet2d >
EIGEN_STRONG_INLINE Packet2d por< Packet2d >(const Packet2d &a, const Packet2d &b)
Definition: MSA/PacketMath.h:946
Eigen::internal::Packet4bi
__vector __bool int Packet4bi
Definition: AltiVec/PacketMath.h:33
Eigen::internal::p16uc_PSET32_WEVEN
static Packet16uc p16uc_PSET32_WEVEN
Definition: AltiVec/PacketMath.h:127
Eigen::internal::packet_traits::HasHalfPacket
@ HasHalfPacket
Definition: GenericPacketMath.h:114
Eigen::internal::padd< Packet4f >
EIGEN_STRONG_INLINE Packet4f padd< Packet4f >(const Packet4f &a, const Packet4f &b)
Definition: AltiVec/PacketMath.h:774
Eigen::internal::pstore< unsigned char >
EIGEN_STRONG_INLINE void pstore< unsigned char >(unsigned char *to, const Packet16uc &from)
Definition: AltiVec/PacketMath.h:521
Eigen::internal::unpacket_traits< Packet16uc >::type
unsigned char type
Definition: AltiVec/PacketMath.h:360
EIGEN_DEBUG_UNALIGNED_STORE
#define EIGEN_DEBUG_UNALIGNED_STORE
Definition: GenericPacketMath.h:39
Eigen::internal::pcast< Packet4f, Packet4i >
EIGEN_STRONG_INLINE Packet4i pcast< Packet4f, Packet4i >(const Packet4f &a)
Definition: AltiVec/PacketMath.h:2190
Eigen::internal::p16uc_REVERSE64
static Packet16uc p16uc_REVERSE64
Definition: AltiVec/PacketMath.h:125
Eigen::internal::unpacket_traits::masked_store_available
@ masked_store_available
Definition: GenericPacketMath.h:142
Eigen::internal::padd< Packet4ui >
EIGEN_STRONG_INLINE Packet4ui padd< Packet4ui >(const Packet4ui &a, const Packet4ui &b)
Definition: AltiVec/PacketMath.h:776
Eigen::internal::unpacket_traits< Packet8s >::type
short int type
Definition: AltiVec/PacketMath.h:341
Eigen::internal::pgather< int, Packet4i >
EIGEN_DEVICE_FUNC Packet4i pgather< int, Packet4i >(const int *from, Index stride)
Definition: AltiVec/PacketMath.h:618
Eigen::internal::packet_traits< short int >::type
Packet8s type
Definition: AltiVec/PacketMath.h:256
Eigen::internal::pand< Packet4ui >
EIGEN_STRONG_INLINE Packet4ui pand< Packet4ui >(const Packet4ui &a, const Packet4ui &b)
Definition: AltiVec/PacketMath.h:893
Eigen::internal::padd< Packet16c >
EIGEN_STRONG_INLINE Packet16c padd< Packet16c >(const Packet16c &a, const Packet16c &b)
Definition: AltiVec/PacketMath.h:779
Eigen::internal::Packet8bf
eigen_packet_wrapper< __vector unsigned short int, 0 > Packet8bf
Definition: AltiVec/PacketMath.h:38
Eigen::internal::pand< Packet2d >
EIGEN_STRONG_INLINE Packet2d pand< Packet2d >(const Packet2d &a, const Packet2d &b)
Definition: MSA/PacketMath.h:939
Eigen::internal::pandnot< Packet4f >
EIGEN_STRONG_INLINE Packet4f pandnot< Packet4f >(const Packet4f &a, const Packet4f &b)
Definition: AltiVec/PacketMath.h:914
Eigen::internal::pmul< Packet16c >
EIGEN_STRONG_INLINE Packet16c pmul< Packet16c >(const Packet16c &a, const Packet16c &b)
Definition: AltiVec/PacketMath.h:799
n
int n
Definition: BiCGSTAB_simple.cpp:1
Eigen::internal::psub< Packet4i >
EIGEN_STRONG_INLINE Packet4i psub< Packet4i >(const Packet4i &a, const Packet4i &b)
Definition: AltiVec/PacketMath.h:783
Eigen::internal::pgather< short int, Packet8s >
EIGEN_DEVICE_FUNC Packet8s pgather< short int, Packet8s >(const short int *from, Index stride)
Definition: AltiVec/PacketMath.h:637
shift_left
Definition: array_cwise.cpp:630
Eigen::internal::pcmp_eq< Packet4f >
EIGEN_STRONG_INLINE Packet4f pcmp_eq< Packet4f >(const Packet4f &a, const Packet4f &b)
Definition: NEON/PacketMath.h:1400
Eigen::internal::packet_traits< unsigned char >::type
Packet16uc type
Definition: AltiVec/PacketMath.h:310
Eigen::internal::padd< Packet2d >
EIGEN_STRONG_INLINE Packet2d padd< Packet2d >(const Packet2d &a, const Packet2d &b)
Definition: MSA/PacketMath.h:880
Eigen::internal::pbroadcast4< Packet2d >
EIGEN_STRONG_INLINE void pbroadcast4< Packet2d >(const double *a, Packet2d &a0, Packet2d &a1, Packet2d &a2, Packet2d &a3)
Definition: SSE/PacketMath.h:960
align_3::a1
Point2 a1
Definition: testPose2.cpp:769
Eigen::internal::psub< Packet16c >
EIGEN_STRONG_INLINE Packet16c psub< Packet16c >(const Packet16c &a, const Packet16c &b)
Definition: AltiVec/PacketMath.h:786
Eigen::internal::p4f_ONE
static Packet4f p4f_ONE
Definition: AltiVec/PacketMath.h:88
Eigen::internal::p4f_COUNTDOWN
static Packet4f p4f_COUNTDOWN
Definition: AltiVec/PacketMath.h:91
align_3::a3
Point2 a3
Definition: testPose2.cpp:771
Eigen::internal::pmul< Packet4i >
EIGEN_STRONG_INLINE Packet4i pmul< Packet4i >(const Packet4i &a, const Packet4i &b)
Definition: AltiVec/PacketMath.h:796
Eigen::internal::unpacket_traits::size
@ size
Definition: GenericPacketMath.h:138
Eigen::internal::plogical_shift_left
EIGEN_STRONG_INLINE Packet4i plogical_shift_left(const Packet4i &a)
Definition: AltiVec/PacketMath.h:1191
Eigen::internal::pset1< Packet8bf >
EIGEN_STRONG_INLINE Packet8bf pset1< Packet8bf >(const bfloat16 &from)
Definition: AltiVec/PacketMath.h:575
Eigen::internal::pmax< Packet16c >
EIGEN_STRONG_INLINE Packet16c pmax< Packet16c >(const Packet16c &a, const Packet16c &b)
Definition: AltiVec/PacketMath.h:864
Eigen::internal::unpacket_traits::alignment
@ alignment
Definition: GenericPacketMath.h:139
Eigen::internal::pmin< Packet4f >
EIGEN_STRONG_INLINE Packet4f pmin< Packet4f >(const Packet4f &a, const Packet4f &b)
Definition: AltiVec/PacketMath.h:832
Eigen::internal::padd< Packet16uc >
EIGEN_STRONG_INLINE Packet16uc padd< Packet16uc >(const Packet16uc &a, const Packet16uc &b)
Definition: AltiVec/PacketMath.h:780
Eigen::internal::p16c_COUNTDOWN
static Packet16c p16c_COUNTDOWN
Definition: AltiVec/PacketMath.h:96
Eigen::internal::pmul< Packet8s >
EIGEN_STRONG_INLINE Packet8s pmul< Packet8s >(const Packet8s &a, const Packet8s &b)
Definition: AltiVec/PacketMath.h:797
Eigen::internal::p2d_ONE
static Packet2d p2d_ONE
Definition: ZVector/PacketMath.h:93
Eigen::internal::p16uc_COUNTDOWN
static Packet16uc p16uc_COUNTDOWN
Definition: AltiVec/PacketMath.h:98
Eigen::internal::pstore< double >
EIGEN_STRONG_INLINE void pstore< double >(double *to, const Packet4d &from)
Definition: AVX/PacketMath.h:623
Eigen::internal::pscatter< unsigned char, Packet16uc >
EIGEN_DEVICE_FUNC void pscatter< unsigned char, Packet16uc >(unsigned char *to, const Packet16uc &from, Index stride)
Definition: AltiVec/PacketMath.h:762
Eigen::internal::unpacket_traits::half
T half
Definition: GenericPacketMath.h:135
Eigen::internal::pceil< Packet4f >
EIGEN_STRONG_INLINE Packet4f pceil< Packet4f >(const Packet4f &a)
Definition: AltiVec/PacketMath.h:938
Eigen::internal::ploadu< Packet8s >
EIGEN_STRONG_INLINE Packet8s ploadu< Packet8s >(const short int *from)
Definition: AltiVec/PacketMath.h:976
EIGEN_UNUSED_VARIABLE
#define EIGEN_UNUSED_VARIABLE(var)
Definition: Macros.h:1076
Eigen::internal::pxor< Packet8bf >
EIGEN_STRONG_INLINE Packet8bf pxor< Packet8bf >(const Packet8bf &a, const Packet8bf &b)
Definition: AltiVec/PacketMath.h:910
Eigen::internal::Packet4ui
__vector unsigned int Packet4ui
Definition: AltiVec/PacketMath.h:32
Eigen::internal::p16uc_DUPLICATE32_HI
static Packet16uc p16uc_DUPLICATE32_HI
Definition: AltiVec/PacketMath.h:105
int64_t
signed __int64 int64_t
Definition: ms_stdint.h:94
Eigen::internal::pmin< Packet8us >
EIGEN_STRONG_INLINE Packet8us pmin< Packet8us >(const Packet8us &a, const Packet8us &b)
Definition: AltiVec/PacketMath.h:845
Eigen::internal::default_packet_traits::HasSin
@ HasSin
Definition: GenericPacketMath.h:75
Eigen::internal::pmul< Packet4f >
EIGEN_STRONG_INLINE Packet4f pmul< Packet4f >(const Packet4f &a, const Packet4f &b)
Definition: AltiVec/PacketMath.h:795
BF16_TO_F32_UNARY_OP_WRAPPER
#define BF16_TO_F32_UNARY_OP_WRAPPER(OP, A)
Definition: AltiVec/PacketMath.h:1299
Eigen::internal::packet_traits::AlignedOnScalar
@ AlignedOnScalar
Definition: GenericPacketMath.h:113
Eigen::internal::predux< Packet16uc >
EIGEN_STRONG_INLINE unsigned char predux< Packet16uc >(const Packet16uc &a)
Definition: AltiVec/PacketMath.h:1526
Eigen::internal::plset< Packet16uc >
EIGEN_STRONG_INLINE Packet16uc plset< Packet16uc >(const unsigned char &a)
Definition: AltiVec/PacketMath.h:772
Eigen::internal::prsqrt< Packet8bf >
EIGEN_STRONG_INLINE Packet8bf prsqrt< Packet8bf >(const Packet8bf &a)
Definition: AltiVec/PacketMath.h:1347
Eigen::internal::ptranpose_common
EIGEN_DEVICE_FUNC void ptranpose_common(PacketBlock< T, 4 > &kernel)
Definition: AltiVec/PacketMath.h:1771
Eigen::internal::pxor< Packet2d >
EIGEN_STRONG_INLINE Packet2d pxor< Packet2d >(const Packet2d &a, const Packet2d &b)
Definition: MSA/PacketMath.h:953
Eigen::internal::packet_traits::half
T half
Definition: GenericPacketMath.h:109
Eigen::internal::p16uc_DUPLICATE16_EVEN
static const Packet16uc p16uc_DUPLICATE16_EVEN
Definition: AltiVec/PacketMath.h:108
Eigen::internal::Bf16ToF32Odd
EIGEN_STRONG_INLINE Packet4f Bf16ToF32Odd(const Packet8bf &bf)
Definition: AltiVec/PacketMath.h:1234
Eigen::internal::pnegate
EIGEN_STRONG_INLINE Packet2cf pnegate(const Packet2cf &a)
Definition: AltiVec/Complex.h:166
Eigen::internal::pset1_size4
EIGEN_STRONG_INLINE Packet pset1_size4(const __UNPACK_TYPE__(Packet)&from)
Definition: AltiVec/PacketMath.h:527
Eigen::internal::p16uc_TRANSPOSE64_HI
static Packet16uc p16uc_TRANSPOSE64_HI
Definition: AltiVec/PacketMath.h:133
Eigen::internal::plset< Packet2d >
EIGEN_STRONG_INLINE Packet2d plset< Packet2d >(const double &a)
Definition: MSA/PacketMath.h:887
Eigen::internal::pmax< Packet8s >
EIGEN_STRONG_INLINE Packet8s pmax< Packet8s >(const Packet8s &a, const Packet8s &b)
Definition: AltiVec/PacketMath.h:862
Eigen::internal::unpacket_traits
Definition: GenericPacketMath.h:132
Eigen::internal::pset1< Packet4f >
EIGEN_STRONG_INLINE Packet4f pset1< Packet4f >(const float &from)
Definition: AltiVec/PacketMath.h:547
Eigen::internal::ptranspose
EIGEN_STRONG_INLINE void ptranspose(PacketBlock< Packet2cf, 2 > &kernel)
Definition: AltiVec/Complex.h:224
Eigen::internal::por< Packet4i >
EIGEN_STRONG_INLINE Packet4i por< Packet4i >(const Packet4i &a, const Packet4i &b)
Definition: AltiVec/PacketMath.h:901
Eigen::internal::F32ToBf16
EIGEN_STRONG_INLINE Packet8bf F32ToBf16(Packet4f p4f)
Definition: AltiVec/PacketMath.h:1252
l
static const Line3 l(Rot3(), 1, 1)
Eigen::internal::pselect
EIGEN_STRONG_INLINE Packet4f pselect(const Packet4f &mask, const Packet4f &a, const Packet4f &b)
Definition: AltiVec/PacketMath.h:917
EIGEN_PPC_PREFETCH
#define EIGEN_PPC_PREFETCH(ADDR)
Definition: AltiVec/PacketMath.h:147
Eigen::internal::_EIGEN_DECLARE_CONST_FAST_Packet4i
static _EIGEN_DECLARE_CONST_FAST_Packet4i(ZERO, 0)
Eigen::internal::predux_min< Packet4i >
EIGEN_STRONG_INLINE int predux_min< Packet4i >(const Packet4i &a)
Definition: AltiVec/PacketMath.h:1618
Eigen::internal::psin< Packet8bf >
EIGEN_STRONG_INLINE Packet8bf psin< Packet8bf >(const Packet8bf &a)
Definition: AltiVec/PacketMath.h:1375
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::pgather< signed char, Packet16c >
EIGEN_DEVICE_FUNC Packet16c pgather< signed char, Packet16c >(const signed char *from, Index stride)
Definition: AltiVec/PacketMath.h:675
Eigen::internal::pdiv< Packet4i >
EIGEN_STRONG_INLINE Packet4i pdiv< Packet4i >(const Packet4i &, const Packet4i &)
Definition: AltiVec/PacketMath.h:821
Eigen::internal::predux_mul< Packet4f >
EIGEN_STRONG_INLINE float predux_mul< Packet4f >(const Packet4f &a)
Definition: AltiVec/PacketMath.h:1533
Eigen::internal::psub< Packet8bf >
EIGEN_STRONG_INLINE Packet8bf psub< Packet8bf >(const Packet8bf &a, const Packet8bf &b)
Definition: AltiVec/PacketMath.h:1340
Eigen::internal::por< Packet8s >
EIGEN_STRONG_INLINE Packet8s por< Packet8s >(const Packet8s &a, const Packet8s &b)
Definition: AltiVec/PacketMath.h:902
Eigen::internal::p8s_COUNTDOWN
static Packet8s p8s_COUNTDOWN
Definition: AltiVec/PacketMath.h:93
Eigen::internal::pmax
EIGEN_DEVICE_FUNC Packet pmax(const Packet &a, const Packet &b)
Definition: GenericPacketMath.h:524
Eigen::internal::pcast< Packet8bf, Packet8us >
EIGEN_STRONG_INLINE Packet8us pcast< Packet8bf, Packet8us >(const Packet8bf &a)
Definition: AltiVec/PacketMath.h:2206
Eigen::internal::padd< Packet8s >
EIGEN_STRONG_INLINE Packet8s padd< Packet8s >(const Packet8s &a, const Packet8s &b)
Definition: AltiVec/PacketMath.h:777
Eigen::internal::unpacket_traits< Packet8bf >::half
Packet8bf half
Definition: AltiVec/PacketMath.h:368
Eigen::internal::default_packet_traits::HasErf
@ HasErf
Definition: GenericPacketMath.h:88
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::pscatter< double, Packet2d >
EIGEN_DEVICE_FUNC void pscatter< double, Packet2d >(double *to, const Packet2d &from, Index stride)
Definition: MSA/PacketMath.h:1044
Eigen::internal::pload< Packet8s >
EIGEN_STRONG_INLINE Packet8s pload< Packet8s >(const short int *from)
Definition: AltiVec/PacketMath.h:453
Eigen::internal::pcmp_lt_or_nan
EIGEN_STRONG_INLINE Packet4f pcmp_lt_or_nan(const Packet4f &a, const Packet4f &b)
Definition: AltiVec/PacketMath.h:870
Eigen::internal::default_packet_traits::HasSqrt
@ HasSqrt
Definition: GenericPacketMath.h:66
Eigen::internal::pload< Packet8us >
EIGEN_STRONG_INLINE Packet8us pload< Packet8us >(const unsigned short int *from)
Definition: AltiVec/PacketMath.h:458
Eigen::internal::Packet2l
v2i64 Packet2l
Definition: MSA/PacketMath.h:821
Eigen::internal::predux_mul< Packet8us >
EIGEN_STRONG_INLINE unsigned short int predux_mul< Packet8us >(const Packet8us &a)
Definition: AltiVec/PacketMath.h:1558
Eigen::internal::pand
EIGEN_STRONG_INLINE Packet8h pand(const Packet8h &a, const Packet8h &b)
Definition: AVX/PacketMath.h:1050
Eigen::internal::pscatter< float, Packet4f >
EIGEN_DEVICE_FUNC void pscatter< float, Packet4f >(float *to, const Packet4f &from, Index stride)
Definition: AltiVec/PacketMath.h:695
gtsam.examples.DogLegOptimizerExample.run
def run(args)
Definition: DogLegOptimizerExample.py:21
Eigen::internal::pandnot< Packet4ui >
EIGEN_STRONG_INLINE Packet4ui pandnot< Packet4ui >(const Packet4ui &a, const Packet4ui &b)
Definition: NEON/PacketMath.h:1592
Eigen::internal::packet_traits< float >::type
Packet4f type
Definition: AltiVec/PacketMath.h:152
Eigen::internal::Packet
Definition: ZVector/PacketMath.h:47
Eigen::internal::psub
EIGEN_DEVICE_FUNC Packet psub(const Packet &a, const Packet &b)
Definition: GenericPacketMath.h:222
Eigen::internal::unpacket_traits< Packet4f >::half
Packet4f half
Definition: AltiVec/PacketMath.h:329
Eigen::internal::packet_traits< signed char >::type
Packet16c type
Definition: AltiVec/PacketMath.h:292
m
Matrix3f m
Definition: AngleAxis_mimic_euler.cpp:1
EIGEN_ALWAYS_INLINE
#define EIGEN_ALWAYS_INLINE
Definition: Macros.h:932
Eigen::internal::packet_traits< unsigned char >::half
Packet16uc half
Definition: AltiVec/PacketMath.h:311
Eigen::Triplet< double >
Eigen::internal::unpacket_traits< Packet8us >::half
Packet8us half
Definition: AltiVec/PacketMath.h:348
Eigen::internal::ploaddup< Packet8us >
EIGEN_STRONG_INLINE Packet8us ploaddup< Packet8us >(const unsigned short int *from)
Definition: AltiVec/PacketMath.h:1021
Eigen::internal::default_packet_traits::HasCeil
@ HasCeil
Definition: GenericPacketMath.h:101
Eigen::internal::pandnot< Packet2d >
EIGEN_STRONG_INLINE Packet2d pandnot< Packet2d >(const Packet2d &a, const Packet2d &b)
Definition: MSA/PacketMath.h:960
Eigen::internal::predux_min< Packet4f >
EIGEN_STRONG_INLINE float predux_min< Packet4f >(const Packet4f &a)
Definition: AltiVec/PacketMath.h:1613
Eigen::internal::operator<<
std::ostream & operator<<(std::ostream &s, const Packet16c &v)
Definition: AltiVec/PacketMath.h:371
Eigen::internal::predux_mul< Packet2d >
EIGEN_STRONG_INLINE double predux_mul< Packet2d >(const Packet2d &a)
Definition: MSA/PacketMath.h:1092
Eigen::internal::pscatter< int, Packet4i >
EIGEN_DEVICE_FUNC void pscatter< int, Packet4i >(int *to, const Packet4i &from, Index stride)
Definition: AltiVec/PacketMath.h:700
Eigen::internal::default_packet_traits::HasFloor
@ HasFloor
Definition: GenericPacketMath.h:100
Eigen::internal::plset< Packet8s >
EIGEN_STRONG_INLINE Packet8s plset< Packet8s >(const short int &a)
Definition: AltiVec/PacketMath.h:769
Eigen::internal::pstore
EIGEN_DEVICE_FUNC void pstore(Scalar *to, const Packet &from)
Definition: GenericPacketMath.h:696
Eigen::internal::Packet8s
__vector short int Packet8s
Definition: AltiVec/PacketMath.h:34
Eigen::internal::plset< Packet4f >
EIGEN_STRONG_INLINE Packet4f plset< Packet4f >(const float &a)
Definition: AltiVec/PacketMath.h:767
out
std::ofstream out("Result.txt")
Eigen::internal::pmul< Packet8bf >
EIGEN_STRONG_INLINE Packet8bf pmul< Packet8bf >(const Packet8bf &a, const Packet8bf &b)
Definition: AltiVec/PacketMath.h:1328
Eigen::internal::p8us_COUNTDOWN
static Packet8us p8us_COUNTDOWN
Definition: AltiVec/PacketMath.h:94
Eigen::internal::ploaddup< Packet4f >
EIGEN_STRONG_INLINE Packet4f ploaddup< Packet4f >(const float *from)
Definition: AltiVec/PacketMath.h:1004
Eigen::internal::pset1_size16
EIGEN_STRONG_INLINE Packet pset1_size16(const __UNPACK_TYPE__(Packet)&from)
Definition: AltiVec/PacketMath.h:541
Eigen::internal::print< Packet8bf >
EIGEN_STRONG_INLINE Packet8bf print< Packet8bf >(const Packet8bf &a)
Definition: AltiVec/PacketMath.h:1393
Eigen::internal::default_packet_traits::HasTanh
@ HasTanh
Definition: GenericPacketMath.h:83
Eigen::internal::pload< Packet16uc >
EIGEN_STRONG_INLINE Packet16uc pload< Packet16uc >(const unsigned char *from)
Definition: AltiVec/PacketMath.h:468
Eigen::internal::ploaddup_common
EIGEN_STRONG_INLINE Packet ploaddup_common(const __UNPACK_TYPE__(Packet) *from)
Definition: AltiVec/PacketMath.h:997
Eigen::internal::pgather< unsigned short int, Packet8us >
EIGEN_DEVICE_FUNC Packet8us pgather< unsigned short int, Packet8us >(const unsigned short int *from, Index stride)
Definition: AltiVec/PacketMath.h:642
Eigen::internal::type_casting_traits::SrcCoeffRatio
@ SrcCoeffRatio
Definition: GenericPacketMath.h:151
Eigen::internal::unpacket_traits::masked_load_available
@ masked_load_available
Definition: GenericPacketMath.h:141
Eigen::internal::psub< Packet2d >
EIGEN_STRONG_INLINE Packet2d psub< Packet2d >(const Packet2d &a, const Packet2d &b)
Definition: MSA/PacketMath.h:895
Eigen::internal::predux_any
EIGEN_STRONG_INLINE bool predux_any(const Packet4f &x)
Definition: AltiVec/PacketMath.h:1765
Eigen::internal::p16uc_COMPLEX32_REV2
static Packet16uc p16uc_COMPLEX32_REV2
Definition: AltiVec/PacketMath.h:141
Eigen::internal::pfirst< Packet8us >
EIGEN_STRONG_INLINE unsigned short int pfirst< Packet8us >(const Packet8us &a)
Definition: AltiVec/PacketMath.h:1133
Eigen::internal::pzero
EIGEN_STRONG_INLINE Packet8f pzero(const Packet8f &)
Definition: AVX/PacketMath.h:247
Eigen::internal::__UNPACK_TYPE__
EIGEN_STRONG_INLINE __UNPACK_TYPE__(Packet) pfirst_common(const Packet &a)
Definition: AltiVec/PacketMath.h:1123
Eigen::internal::preinterpret< Packet4i, Packet4f >
EIGEN_STRONG_INLINE Packet4i preinterpret< Packet4i, Packet4f >(const Packet4f &a)
Definition: AltiVec/PacketMath.h:2244
Eigen::internal::pstoreu< bfloat16 >
EIGEN_STRONG_INLINE void pstoreu< bfloat16 >(bfloat16 *to, const Packet8bf &from)
Definition: AltiVec/PacketMath.h:1104
Eigen::internal::pstoreu_common
EIGEN_STRONG_INLINE void pstoreu_common(__UNPACK_TYPE__(Packet) *to, const Packet &from)
Definition: AltiVec/PacketMath.h:1066
Eigen::internal::eigen_packet_wrapper::m_val
T m_val
Definition: GenericPacketMath.h:170
Eigen::Aligned16
@ Aligned16
Definition: Constants.h:235
Eigen::internal::default_packet_traits::HasShift
@ HasShift
Definition: GenericPacketMath.h:49
Eigen::internal::p16uc_PSET32_WODD
static Packet16uc p16uc_PSET32_WODD
Definition: AltiVec/PacketMath.h:126
a
ArrayXXi a
Definition: Array_initializer_list_23_cxx11.cpp:1
Eigen::internal::p16uc_PSET64_HI
static Packet16uc p16uc_PSET64_HI
Definition: AltiVec/PacketMath.h:131
Eigen::internal::predux< Packet4i >
EIGEN_STRONG_INLINE int predux< Packet4i >(const Packet4i &a)
Definition: AltiVec/PacketMath.h:1454
Eigen::internal::p16uc_HALF64_0_16
static Packet16uc p16uc_HALF64_0_16
Definition: AltiVec/PacketMath.h:128
Eigen::internal::unpacket_traits< Packet8bf >::type
bfloat16 type
Definition: AltiVec/PacketMath.h:367
Eigen::internal::predux_max< Packet8us >
EIGEN_STRONG_INLINE unsigned short int predux_max< Packet8us >(const Packet8us &a)
Definition: AltiVec/PacketMath.h:1726
Eigen::internal::default_packet_traits::HasExp
@ HasExp
Definition: GenericPacketMath.h:68
Eigen::internal::packet_traits< int >::type
Packet4i type
Definition: AltiVec/PacketMath.h:237
Eigen::internal::predux
EIGEN_DEVICE_FUNC unpacket_traits< Packet >::type predux(const Packet &a)
Definition: GenericPacketMath.h:875
Eigen::internal::psub< Packet16uc >
EIGEN_STRONG_INLINE Packet16uc psub< Packet16uc >(const Packet16uc &a, const Packet16uc &b)
Definition: AltiVec/PacketMath.h:787
Eigen::internal::pand< Packet8bf >
EIGEN_STRONG_INLINE Packet8bf pand< Packet8bf >(const Packet8bf &a, const Packet8bf &b)
Definition: AltiVec/PacketMath.h:895
Eigen::internal::pmul
EIGEN_DEVICE_FUNC Packet pmul(const Packet &a, const Packet &b)
Definition: GenericPacketMath.h:237
Eigen::internal::pceil< Packet2d >
EIGEN_STRONG_INLINE Packet2d pceil< Packet2d >(const Packet2d &a)
Definition: MSA/PacketMath.h:1182
Eigen::internal::padd< Packet8bf >
EIGEN_STRONG_INLINE Packet8bf padd< Packet8bf >(const Packet8bf &a, const Packet8bf &b)
Definition: AltiVec/PacketMath.h:1324
Eigen::internal::pcos< Packet8bf >
EIGEN_STRONG_INLINE Packet8bf pcos< Packet8bf >(const Packet8bf &a)
Definition: AltiVec/PacketMath.h:1378
Eigen::internal::unpacket_traits::type
T type
Definition: GenericPacketMath.h:134
Eigen::internal::Packet2d
v2f64 Packet2d
Definition: MSA/PacketMath.h:820
Eigen::internal::pfrexp< Packet8bf >
EIGEN_STRONG_INLINE Packet8bf pfrexp< Packet8bf >(const Packet8bf &a, Packet8bf &e)
Definition: AltiVec/PacketMath.h:1364
Eigen::internal::pcos_float
EIGEN_DEFINE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS EIGEN_UNUSED Packet pcos_float(const Packet &x)
Definition: GenericPacketMathFunctions.h:755
EIGEN_DEBUG_UNALIGNED_LOAD
#define EIGEN_DEBUG_UNALIGNED_LOAD
Definition: GenericPacketMath.h:31
Eigen::internal::pmax< Packet2d >
EIGEN_STRONG_INLINE Packet2d pmax< Packet2d >(const Packet2d &a, const Packet2d &b)
Definition: MSA/PacketMath.h:989
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@ HasRsqrt
Definition: GenericPacketMath.h:67
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EIGEN_STRONG_INLINE Packet4f por< Packet4f >(const Packet4f &a, const Packet4f &b)
Definition: AltiVec/PacketMath.h:900
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EIGEN_STRONG_INLINE Packet4i plogical_shift_right(const Packet4i &a)
Definition: AltiVec/PacketMath.h:1189
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@ TgtCoeffRatio
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static _EIGEN_DECLARE_CONST_FAST_Packet16uc(ONE, 1)
Eigen::internal::pbroadcast4_common
EIGEN_STRONG_INLINE void pbroadcast4_common(const __UNPACK_TYPE__(Packet) *a, Packet &a0, Packet &a1, Packet &a2, Packet &a3)
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EIGEN_STRONG_INLINE void pstoreu< double >(double *to, const Packet4d &from)
Definition: AVX/PacketMath.h:627
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EIGEN_STRONG_INLINE Packet8s pset1< Packet8s >(const short int &from)
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@ HasAdd
Definition: GenericPacketMath.h:117
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Definition: AltiVec/PacketMath.h:506
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EIGEN_STRONG_INLINE float predux< Packet4f >(const Packet4f &a)
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Array< int, Dynamic, 1 > v
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@ HasRint
Definition: GenericPacketMath.h:99
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EIGEN_STRONG_INLINE Packet4f pcmp_lt_or_nan< Packet4f >(const Packet4f &a, const Packet4f &b)
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EIGEN_STRONG_INLINE Packet16uc ploaddup< Packet16uc >(const unsigned char *from)
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@ HasMax
Definition: GenericPacketMath.h:124
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EIGEN_STRONG_INLINE unsigned short int predux_min< Packet8us >(const Packet8us &a)
Definition: AltiVec/PacketMath.h:1646
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Definition: AltiVec/PacketMath.h:988
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__vector signed char Packet16c
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Definition: datatypes.h:19
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EIGEN_DEFINE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS EIGEN_UNUSED Packet psin_float(const Packet &x)
Definition: GenericPacketMathFunctions.h:747
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EIGEN_STRONG_INLINE Packet pset1_size8(const __UNPACK_TYPE__(Packet)&from)
Definition: AltiVec/PacketMath.h:534
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EIGEN_DEVICE_FUNC void pscatter_size16(__UNPACK_TYPE__(Packet) *to, const Packet &from, Index stride)
Definition: AltiVec/PacketMath.h:735
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EIGEN_DEFINE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS EIGEN_UNUSED Packet4f prsqrt< Packet4f >(const Packet4f &x)
Definition: Eigen/src/Core/arch/AltiVec/MathFunctions.h:45
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float
Definition: DogLegOptimizerExample.py:113
Eigen::internal::packet_traits::HasNegate
@ HasNegate
Definition: GenericPacketMath.h:120
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EIGEN_STRONG_INLINE short int pfirst< Packet8s >(const Packet8s &a)
Definition: AltiVec/PacketMath.h:1129
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EIGEN_STRONG_INLINE float pfirst< Packet4f >(const Packet4f &a)
Definition: AltiVec/PacketMath.h:1120
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EIGEN_STRONG_INLINE Packet16c pmin< Packet16c >(const Packet16c &a, const Packet16c &b)
Definition: AltiVec/PacketMath.h:846
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EIGEN_STRONG_INLINE Packet8s ploaddup< Packet8s >(const short int *from)
Definition: AltiVec/PacketMath.h:1013
Eigen::internal::pmin< Packet8bf >
EIGEN_STRONG_INLINE Packet8bf pmin< Packet8bf >(const Packet8bf &a, const Packet8bf &b)
Definition: AltiVec/PacketMath.h:1408
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EIGEN_STRONG_INLINE Packet8us pset1< Packet8us >(const unsigned short int &from)
Definition: AltiVec/PacketMath.h:559
Eigen::internal::pfloor< Packet2d >
EIGEN_STRONG_INLINE Packet2d pfloor< Packet2d >(const Packet2d &a)
Definition: MSA/PacketMath.h:1163
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EIGEN_STRONG_INLINE Packet8s pmin< Packet8s >(const Packet8s &a, const Packet8s &b)
Definition: AltiVec/PacketMath.h:844
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@ HasDiv
Definition: GenericPacketMath.h:65
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EIGEN_STRONG_INLINE Packet8bf pround< Packet8bf >(const Packet8bf &a)
Definition: AltiVec/PacketMath.h:1390
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Definition: MSA/PacketMath.h:822
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EIGEN_STRONG_INLINE Packet4f pxor< Packet4f >(const Packet4f &a, const Packet4f &b)
Definition: AltiVec/PacketMath.h:908
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Definition: ConfigureVectorization.h:153
N
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Definition: BandTriangularSolver.h:13
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Definition: AltiVec/PacketMath.h:1088
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Definition: AltiVec/PacketMath.h:725
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EIGEN_STRONG_INLINE Packet4f print< Packet4f >(const Packet4f &a)
Definition: AltiVec/PacketMath.h:940
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static Packet2d p2d_COUNTDOWN
Definition: ZVector/PacketMath.h:114
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EIGEN_STRONG_INLINE short int predux_mul< Packet8s >(const Packet8s &a)
Definition: AltiVec/PacketMath.h:1547
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Definition: AltiVec/PacketMath.h:1540
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EIGEN_STRONG_INLINE Packet8us plset< Packet8us >(const unsigned short int &a)
Definition: AltiVec/PacketMath.h:770
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EIGEN_STRONG_INLINE double predux< Packet2d >(const Packet2d &a)
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EIGEN_STRONG_INLINE Packet4f pdiv< Packet4f >(const Packet4f &a, const Packet4f &b)
Definition: AltiVec/PacketMath.h:803
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EIGEN_STRONG_INLINE bfloat16 predux_max< Packet8bf >(const Packet8bf &a)
Definition: AltiVec/PacketMath.h:1703
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EIGEN_DEVICE_FUNC Packet8bf pgather< bfloat16, Packet8bf >(const bfloat16 *from, Index stride)
Definition: AltiVec/PacketMath.h:647
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EIGEN_STRONG_INLINE bfloat16 predux_mul< Packet8bf >(const Packet8bf &a)
Definition: AltiVec/PacketMath.h:1569
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EIGEN_STRONG_INLINE short int predux< Packet8s >(const Packet8s &a)
Definition: AltiVec/PacketMath.h:1489
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@ VectorizedCast
Definition: GenericPacketMath.h:150
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EIGEN_STRONG_INLINE Packet4i pmax< Packet4i >(const Packet4i &a, const Packet4i &b)
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Definition: AVX/PacketMath.h:743
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EIGEN_STRONG_INLINE signed char predux_min< Packet16c >(const Packet16c &a)
Definition: AltiVec/PacketMath.h:1661
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#define max(a, b)
Definition: datatypes.h:20
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Definition: AltiVec/PacketMath.h:1137
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EIGEN_STRONG_INLINE unsigned char predux_mul< Packet16uc >(const Packet16uc &a)
Definition: AltiVec/PacketMath.h:1590
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Definition: AltiVec/PacketMath.h:355
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Definition: AltiVec/PacketMath.h:274
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EIGEN_STRONG_INLINE Packet4i pmin< Packet4i >(const Packet4i &a, const Packet4i &b)
Definition: AltiVec/PacketMath.h:843
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Definition: AVX/PacketMath.h:692
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Definition: GenericPacketMath.h:119
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EIGEN_STRONG_INLINE Packet4f pcmp_le(const Packet4f &a, const Packet4f &b)
Definition: AltiVec/PacketMath.h:867
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Definition: AltiVec/PacketMath.h:551
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Definition: GenericPacketMath.h:111
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Definition: AltiVec/PacketMath.h:680
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Definition: AltiVec/PacketMath.h:1711
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Definition: AltiVec/PacketMath.h:720
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Definition: AltiVec/PacketMath.h:563
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Definition: AltiVec/PacketMath.h:134
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Definition: MSA/PacketMath.h:967
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Definition: AltiVec/PacketMath.h:491
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Definition: AltiVec/PacketMath.h:35
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Definition: AltiVec/PacketMath.h:775
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EIGEN_STRONG_INLINE Packet8s psub< Packet8s >(const Packet8s &a, const Packet8s &b)
Definition: AltiVec/PacketMath.h:784
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Definition: AltiVec/PacketMath.h:463
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Definition: AltiVec/PacketMath.h:847
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Definition: AltiVec/PacketMath.h:136
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Definition: Meta.h:74
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EIGEN_STRONG_INLINE Packet4i ploaddup< Packet4i >(const int *from)
Definition: AltiVec/PacketMath.h:1008
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Definition: Macros.h:49
Eigen::internal::unpacket_traits< Packet4f >::type
float type
Definition: AltiVec/PacketMath.h:328
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EIGEN_STRONG_INLINE Packet16uc ploadu< Packet16uc >(const unsigned char *from)
Definition: AltiVec/PacketMath.h:992
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Definition: AltiVec/PacketMath.h:685
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EIGEN_DEVICE_FUNC Packet pgather_size8(const __UNPACK_TYPE__(Packet) *from, Index stride)
Definition: AltiVec/PacketMath.h:623
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EIGEN_STRONG_INLINE EIGEN_DEVICE_FUNC Packet pfrexp_generic(const Packet &a, Packet &exponent)
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Definition: GenericPacketMath.h:98
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autogenerated on Sat Nov 16 2024 04:03:14