Eigen  3.3.0
 
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ZVector/PacketMath.h
1// This file is part of Eigen, a lightweight C++ template library
2// for linear algebra.
3//
4// Copyright (C) 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_ZVECTOR_H
11#define EIGEN_PACKET_MATH_ZVECTOR_H
12
13#include <stdint.h>
14
15namespace Eigen {
16
17namespace internal {
18
19#ifndef EIGEN_CACHEFRIENDLY_PRODUCT_THRESHOLD
20#define EIGEN_CACHEFRIENDLY_PRODUCT_THRESHOLD 4
21#endif
22
23#ifndef EIGEN_HAS_SINGLE_INSTRUCTION_MADD
24#define EIGEN_HAS_SINGLE_INSTRUCTION_MADD
25#endif
26
27#ifndef EIGEN_HAS_SINGLE_INSTRUCTION_CJMADD
28#define EIGEN_HAS_SINGLE_INSTRUCTION_CJMADD
29#endif
30
31// NOTE Altivec has 32 registers, but Eigen only accepts a value of 8 or 16
32#ifndef EIGEN_ARCH_DEFAULT_NUMBER_OF_REGISTERS
33#define EIGEN_ARCH_DEFAULT_NUMBER_OF_REGISTERS 32
34#endif
35
36typedef __vector int Packet4i;
37typedef __vector unsigned int Packet4ui;
38typedef __vector __bool int Packet4bi;
39typedef __vector short int Packet8i;
40typedef __vector unsigned char Packet16uc;
41typedef __vector double Packet2d;
42typedef __vector unsigned long long Packet2ul;
43typedef __vector long long Packet2l;
44
45typedef union {
46 int32_t i[4];
47 uint32_t ui[4];
48 int64_t l[2];
49 uint64_t ul[2];
50 double d[2];
51 Packet4i v4i;
52 Packet4ui v4ui;
53 Packet2l v2l;
54 Packet2ul v2ul;
55 Packet2d v2d;
56} Packet;
57
58// We don't want to write the same code all the time, but we need to reuse the constants
59// and it doesn't really work to declare them global, so we define macros instead
60
61#define _EIGEN_DECLARE_CONST_FAST_Packet4i(NAME,X) \
62 Packet4i p4i_##NAME = reinterpret_cast<Packet4i>(vec_splat_s32(X))
63
64#define _EIGEN_DECLARE_CONST_FAST_Packet2d(NAME,X) \
65 Packet2d p2d_##NAME = reinterpret_cast<Packet2d>(vec_splat_s64(X))
66
67#define _EIGEN_DECLARE_CONST_FAST_Packet2l(NAME,X) \
68 Packet2l p2l_##NAME = reinterpret_cast<Packet2l>(vec_splat_s64(X))
69
70#define _EIGEN_DECLARE_CONST_Packet4i(NAME,X) \
71 Packet4i p4i_##NAME = pset1<Packet4i>(X)
72
73#define _EIGEN_DECLARE_CONST_Packet2d(NAME,X) \
74 Packet2d p2d_##NAME = pset1<Packet2d>(X)
75
76#define _EIGEN_DECLARE_CONST_Packet2l(NAME,X) \
77 Packet2l p2l_##NAME = pset1<Packet2l>(X)
78
79// These constants are endian-agnostic
80//static _EIGEN_DECLARE_CONST_FAST_Packet4i(ZERO, 0); //{ 0, 0, 0, 0,}
81static _EIGEN_DECLARE_CONST_FAST_Packet4i(ONE, 1); //{ 1, 1, 1, 1}
82
83static _EIGEN_DECLARE_CONST_FAST_Packet2d(ZERO, 0);
84static _EIGEN_DECLARE_CONST_FAST_Packet2l(ZERO, 0);
85static _EIGEN_DECLARE_CONST_FAST_Packet2l(ONE, 1);
86
87static Packet2d p2d_ONE = { 1.0, 1.0 };
88static Packet2d p2d_ZERO_ = { -0.0, -0.0 };
89
90static Packet4i p4i_COUNTDOWN = { 0, 1, 2, 3 };
91static Packet2d p2d_COUNTDOWN = reinterpret_cast<Packet2d>(vec_sld(reinterpret_cast<Packet16uc>(p2d_ZERO), reinterpret_cast<Packet16uc>(p2d_ONE), 8));
92
93static Packet16uc p16uc_PSET64_HI = { 0,1,2,3, 4,5,6,7, 0,1,2,3, 4,5,6,7 };
94static Packet16uc p16uc_DUPLICATE32_HI = { 0,1,2,3, 0,1,2,3, 4,5,6,7, 4,5,6,7 };
95
96// Mask alignment
97#define _EIGEN_MASK_ALIGNMENT 0xfffffffffffffff0
98
99#define _EIGEN_ALIGNED_PTR(x) ((ptrdiff_t)(x) & _EIGEN_MASK_ALIGNMENT)
100
101// Handle endianness properly while loading constants
102// Define global static constants:
103
104static Packet16uc p16uc_FORWARD = { 0,1,2,3, 4,5,6,7, 8,9,10,11, 12,13,14,15 };
105static Packet16uc p16uc_REVERSE32 = { 12,13,14,15, 8,9,10,11, 4,5,6,7, 0,1,2,3 };
106static Packet16uc p16uc_REVERSE64 = { 8,9,10,11, 12,13,14,15, 0,1,2,3, 4,5,6,7 };
107
108static 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 };
109static 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 };
110/*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};
111
112static 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 };*/
113static 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 };
114/*static Packet16uc p16uc_TRANSPOSE64_HI = vec_add(p16uc_PSET64_HI, p16uc_HALF64_0_16); //{ 0,1,2,3, 4,5,6,7, 16,17,18,19, 20,21,22,23};
115static Packet16uc p16uc_TRANSPOSE64_LO = vec_add(p16uc_PSET64_LO, p16uc_HALF64_0_16); //{ 8,9,10,11, 12,13,14,15, 24,25,26,27, 28,29,30,31};*/
116static Packet16uc p16uc_TRANSPOSE64_HI = { 0,1,2,3, 4,5,6,7, 16,17,18,19, 20,21,22,23};
117static Packet16uc p16uc_TRANSPOSE64_LO = { 8,9,10,11, 12,13,14,15, 24,25,26,27, 28,29,30,31};
118
119//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 };
120
121//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 };
122
123
124#if EIGEN_HAS_BUILTIN(__builtin_prefetch) || EIGEN_COMP_GNUC
125 #define EIGEN_ZVECTOR_PREFETCH(ADDR) __builtin_prefetch(ADDR);
126#else
127 #define EIGEN_ZVECTOR_PREFETCH(ADDR) asm( " pfd [%[addr]]\n" :: [addr] "r" (ADDR) : "cc" );
128#endif
129
130template<> struct packet_traits<int> : default_packet_traits
131{
132 typedef Packet4i type;
133 typedef Packet4i half;
134 enum {
135 // FIXME check the Has*
136 Vectorizable = 1,
137 AlignedOnScalar = 1,
138 size = 4,
139 HasHalfPacket = 0,
140
141 // FIXME check the Has*
142 HasAdd = 1,
143 HasSub = 1,
144 HasMul = 1,
145 HasDiv = 1,
146 HasBlend = 1
147 };
148};
149
150template<> struct packet_traits<double> : default_packet_traits
151{
152 typedef Packet2d type;
153 typedef Packet2d half;
154 enum {
155 Vectorizable = 1,
156 AlignedOnScalar = 1,
157 size=2,
158 HasHalfPacket = 1,
159
160 // FIXME check the Has*
161 HasAdd = 1,
162 HasSub = 1,
163 HasMul = 1,
164 HasDiv = 1,
165 HasMin = 1,
166 HasMax = 1,
167 HasAbs = 1,
168 HasSin = 0,
169 HasCos = 0,
170 HasLog = 0,
171 HasExp = 1,
172 HasSqrt = 1,
173 HasRsqrt = 1,
174 HasRound = 1,
175 HasFloor = 1,
176 HasCeil = 1,
177 HasNegate = 1,
178 HasBlend = 1
179 };
180};
181
182template<> struct unpacket_traits<Packet4i> { typedef int type; enum {size=4, alignment=Aligned16}; typedef Packet4i half; };
183template<> struct unpacket_traits<Packet2d> { typedef double type; enum {size=2, alignment=Aligned16}; typedef Packet2d half; };
184
185inline std::ostream & operator <<(std::ostream & s, const Packet4i & v)
186{
187 Packet vt;
188 vt.v4i = v;
189 s << vt.i[0] << ", " << vt.i[1] << ", " << vt.i[2] << ", " << vt.i[3];
190 return s;
191}
192
193inline std::ostream & operator <<(std::ostream & s, const Packet4ui & v)
194{
195 Packet vt;
196 vt.v4ui = v;
197 s << vt.ui[0] << ", " << vt.ui[1] << ", " << vt.ui[2] << ", " << vt.ui[3];
198 return s;
199}
200
201inline std::ostream & operator <<(std::ostream & s, const Packet2l & v)
202{
203 Packet vt;
204 vt.v2l = v;
205 s << vt.l[0] << ", " << vt.l[1];
206 return s;
207}
208
209inline std::ostream & operator <<(std::ostream & s, const Packet2ul & v)
210{
211 Packet vt;
212 vt.v2ul = v;
213 s << vt.ul[0] << ", " << vt.ul[1] ;
214 return s;
215}
216
217inline std::ostream & operator <<(std::ostream & s, const Packet2d & v)
218{
219 Packet vt;
220 vt.v2d = v;
221 s << vt.d[0] << ", " << vt.d[1];
222 return s;
223}
224
225template<int Offset>
226struct palign_impl<Offset,Packet4i>
227{
228 static EIGEN_STRONG_INLINE void run(Packet4i& first, const Packet4i& second)
229 {
230 switch (Offset % 4) {
231 case 1:
232 first = vec_sld(first, second, 4); break;
233 case 2:
234 first = vec_sld(first, second, 8); break;
235 case 3:
236 first = vec_sld(first, second, 12); break;
237 }
238 }
239};
240
241template<int Offset>
242struct palign_impl<Offset,Packet2d>
243{
244 static EIGEN_STRONG_INLINE void run(Packet2d& first, const Packet2d& second)
245 {
246 if (Offset == 1)
247 first = reinterpret_cast<Packet2d>(vec_sld(reinterpret_cast<Packet4i>(first), reinterpret_cast<Packet4i>(second), 8));
248 }
249};
250
251template<> EIGEN_STRONG_INLINE Packet4i pload<Packet4i>(const int* from)
252{
253 // FIXME: No intrinsic yet
254 EIGEN_DEBUG_ALIGNED_LOAD
255 Packet *vfrom;
256 vfrom = (Packet *) from;
257 return vfrom->v4i;
258}
259
260template<> EIGEN_STRONG_INLINE Packet2d pload<Packet2d>(const double* from)
261{
262 // FIXME: No intrinsic yet
263 EIGEN_DEBUG_ALIGNED_LOAD
264 Packet *vfrom;
265 vfrom = (Packet *) from;
266 return vfrom->v2d;
267}
268
269template<> EIGEN_STRONG_INLINE void pstore<int>(int* to, const Packet4i& from)
270{
271 // FIXME: No intrinsic yet
272 EIGEN_DEBUG_ALIGNED_STORE
273 Packet *vto;
274 vto = (Packet *) to;
275 vto->v4i = from;
276}
277
278template<> EIGEN_STRONG_INLINE void pstore<double>(double* to, const Packet2d& from)
279{
280 // FIXME: No intrinsic yet
281 EIGEN_DEBUG_ALIGNED_STORE
282 Packet *vto;
283 vto = (Packet *) to;
284 vto->v2d = from;
285}
286
287template<> EIGEN_STRONG_INLINE Packet4i pset1<Packet4i>(const int& from)
288{
289 return vec_splats(from);
290}
291
292template<> EIGEN_STRONG_INLINE Packet2d pset1<Packet2d>(const double& from) {
293 return vec_splats(from);
294}
295
296template<> EIGEN_STRONG_INLINE void
297pbroadcast4<Packet4i>(const int *a,
298 Packet4i& a0, Packet4i& a1, Packet4i& a2, Packet4i& a3)
299{
300 a3 = pload<Packet4i>(a);
301 a0 = vec_splat(a3, 0);
302 a1 = vec_splat(a3, 1);
303 a2 = vec_splat(a3, 2);
304 a3 = vec_splat(a3, 3);
305}
306
307template<> EIGEN_STRONG_INLINE void
308pbroadcast4<Packet2d>(const double *a,
309 Packet2d& a0, Packet2d& a1, Packet2d& a2, Packet2d& a3)
310{
311 a1 = pload<Packet2d>(a);
312 a0 = vec_splat(a1, 0);
313 a1 = vec_splat(a1, 1);
314 a3 = pload<Packet2d>(a+2);
315 a2 = vec_splat(a3, 0);
316 a3 = vec_splat(a3, 1);
317}
318
319template<> EIGEN_DEVICE_FUNC inline Packet4i pgather<int, Packet4i>(const int* from, Index stride)
320{
321 int EIGEN_ALIGN16 ai[4];
322 ai[0] = from[0*stride];
323 ai[1] = from[1*stride];
324 ai[2] = from[2*stride];
325 ai[3] = from[3*stride];
326 return pload<Packet4i>(ai);
327}
328
329template<> EIGEN_DEVICE_FUNC inline Packet2d pgather<double, Packet2d>(const double* from, Index stride)
330{
331 double EIGEN_ALIGN16 af[2];
332 af[0] = from[0*stride];
333 af[1] = from[1*stride];
334 return pload<Packet2d>(af);
335}
336
337template<> EIGEN_DEVICE_FUNC inline void pscatter<int, Packet4i>(int* to, const Packet4i& from, Index stride)
338{
339 int EIGEN_ALIGN16 ai[4];
340 pstore<int>((int *)ai, from);
341 to[0*stride] = ai[0];
342 to[1*stride] = ai[1];
343 to[2*stride] = ai[2];
344 to[3*stride] = ai[3];
345}
346
347template<> EIGEN_DEVICE_FUNC inline void pscatter<double, Packet2d>(double* to, const Packet2d& from, Index stride)
348{
349 double EIGEN_ALIGN16 af[2];
350 pstore<double>(af, from);
351 to[0*stride] = af[0];
352 to[1*stride] = af[1];
353}
354
355template<> EIGEN_STRONG_INLINE Packet4i padd<Packet4i>(const Packet4i& a, const Packet4i& b) { return (a + b); }
356template<> EIGEN_STRONG_INLINE Packet2d padd<Packet2d>(const Packet2d& a, const Packet2d& b) { return (a + b); }
357
358template<> EIGEN_STRONG_INLINE Packet4i psub<Packet4i>(const Packet4i& a, const Packet4i& b) { return (a - b); }
359template<> EIGEN_STRONG_INLINE Packet2d psub<Packet2d>(const Packet2d& a, const Packet2d& b) { return (a - b); }
360
361template<> EIGEN_STRONG_INLINE Packet4i pmul<Packet4i>(const Packet4i& a, const Packet4i& b) { return (a * b); }
362template<> EIGEN_STRONG_INLINE Packet2d pmul<Packet2d>(const Packet2d& a, const Packet2d& b) { return (a * b); }
363
364template<> EIGEN_STRONG_INLINE Packet4i pdiv<Packet4i>(const Packet4i& a, const Packet4i& b) { return (a / b); }
365template<> EIGEN_STRONG_INLINE Packet2d pdiv<Packet2d>(const Packet2d& a, const Packet2d& b) { return (a / b); }
366
367template<> EIGEN_STRONG_INLINE Packet4i pnegate(const Packet4i& a) { return (-a); }
368template<> EIGEN_STRONG_INLINE Packet2d pnegate(const Packet2d& a) { return (-a); }
369
370template<> EIGEN_STRONG_INLINE Packet4i pconj(const Packet4i& a) { return a; }
371template<> EIGEN_STRONG_INLINE Packet2d pconj(const Packet2d& a) { return a; }
372
373template<> EIGEN_STRONG_INLINE Packet4i pmadd(const Packet4i& a, const Packet4i& b, const Packet4i& c) { return padd<Packet4i>(pmul<Packet4i>(a, b), c); }
374template<> EIGEN_STRONG_INLINE Packet2d pmadd(const Packet2d& a, const Packet2d& b, const Packet2d& c) { return vec_madd(a, b, c); }
375
376template<> EIGEN_STRONG_INLINE Packet4i plset<Packet4i>(const int& a) { return padd<Packet4i>(pset1<Packet4i>(a), p4i_COUNTDOWN); }
377template<> EIGEN_STRONG_INLINE Packet2d plset<Packet2d>(const double& a) { return padd<Packet2d>(pset1<Packet2d>(a), p2d_COUNTDOWN); }
378
379template<> EIGEN_STRONG_INLINE Packet4i pmin<Packet4i>(const Packet4i& a, const Packet4i& b) { return vec_min(a, b); }
380template<> EIGEN_STRONG_INLINE Packet2d pmin<Packet2d>(const Packet2d& a, const Packet2d& b) { return vec_min(a, b); }
381
382template<> EIGEN_STRONG_INLINE Packet4i pmax<Packet4i>(const Packet4i& a, const Packet4i& b) { return vec_max(a, b); }
383template<> EIGEN_STRONG_INLINE Packet2d pmax<Packet2d>(const Packet2d& a, const Packet2d& b) { return vec_max(a, b); }
384
385template<> EIGEN_STRONG_INLINE Packet4i pand<Packet4i>(const Packet4i& a, const Packet4i& b) { return vec_and(a, b); }
386template<> EIGEN_STRONG_INLINE Packet2d pand<Packet2d>(const Packet2d& a, const Packet2d& b) { return vec_and(a, b); }
387
388template<> EIGEN_STRONG_INLINE Packet4i por<Packet4i>(const Packet4i& a, const Packet4i& b) { return vec_or(a, b); }
389template<> EIGEN_STRONG_INLINE Packet2d por<Packet2d>(const Packet2d& a, const Packet2d& b) { return vec_or(a, b); }
390
391template<> EIGEN_STRONG_INLINE Packet4i pxor<Packet4i>(const Packet4i& a, const Packet4i& b) { return vec_xor(a, b); }
392template<> EIGEN_STRONG_INLINE Packet2d pxor<Packet2d>(const Packet2d& a, const Packet2d& b) { return vec_xor(a, b); }
393
394template<> EIGEN_STRONG_INLINE Packet4i pandnot<Packet4i>(const Packet4i& a, const Packet4i& b) { return pand<Packet4i>(a, vec_nor(b, b)); }
395template<> EIGEN_STRONG_INLINE Packet2d pandnot<Packet2d>(const Packet2d& a, const Packet2d& b) { return vec_and(a, vec_nor(b, b)); }
396
397template<> EIGEN_STRONG_INLINE Packet2d pround<Packet2d>(const Packet2d& a) { return vec_round(a); }
398template<> EIGEN_STRONG_INLINE Packet2d pceil<Packet2d>(const Packet2d& a) { return vec_ceil(a); }
399template<> EIGEN_STRONG_INLINE Packet2d pfloor<Packet2d>(const Packet2d& a) { return vec_floor(a); }
400
401template<> EIGEN_STRONG_INLINE Packet4i ploadu<Packet4i>(const int* from) { return pload<Packet4i>(from); }
402template<> EIGEN_STRONG_INLINE Packet2d ploadu<Packet2d>(const double* from) { return pload<Packet2d>(from); }
403
404
405template<> EIGEN_STRONG_INLINE Packet4i ploaddup<Packet4i>(const int* from)
406{
407 Packet4i p = pload<Packet4i>(from);
408 return vec_perm(p, p, p16uc_DUPLICATE32_HI);
409}
410
411template<> EIGEN_STRONG_INLINE Packet2d ploaddup<Packet2d>(const double* from)
412{
413 Packet2d p = pload<Packet2d>(from);
414 return vec_perm(p, p, p16uc_PSET64_HI);
415}
416
417template<> EIGEN_STRONG_INLINE void pstoreu<int>(int* to, const Packet4i& from) { pstore<int>(to, from); }
418template<> EIGEN_STRONG_INLINE void pstoreu<double>(double* to, const Packet2d& from) { pstore<double>(to, from); }
419
420template<> EIGEN_STRONG_INLINE void prefetch<int>(const int* addr) { EIGEN_ZVECTOR_PREFETCH(addr); }
421template<> EIGEN_STRONG_INLINE void prefetch<double>(const double* addr) { EIGEN_ZVECTOR_PREFETCH(addr); }
422
423template<> EIGEN_STRONG_INLINE int pfirst<Packet4i>(const Packet4i& a) { int EIGEN_ALIGN16 x[4]; pstore(x, a); return x[0]; }
424template<> EIGEN_STRONG_INLINE double pfirst<Packet2d>(const Packet2d& a) { double EIGEN_ALIGN16 x[2]; pstore(x, a); return x[0]; }
425
426template<> EIGEN_STRONG_INLINE Packet4i preverse(const Packet4i& a)
427{
428 return reinterpret_cast<Packet4i>(vec_perm(reinterpret_cast<Packet16uc>(a), reinterpret_cast<Packet16uc>(a), p16uc_REVERSE32));
429}
430
431template<> EIGEN_STRONG_INLINE Packet2d preverse(const Packet2d& a)
432{
433 return reinterpret_cast<Packet2d>(vec_perm(reinterpret_cast<Packet16uc>(a), reinterpret_cast<Packet16uc>(a), p16uc_REVERSE64));
434}
435
436template<> EIGEN_STRONG_INLINE Packet4i pabs(const Packet4i& a) { return vec_abs(a); }
437template<> EIGEN_STRONG_INLINE Packet2d pabs(const Packet2d& a) { return vec_abs(a); }
438
439template<> EIGEN_STRONG_INLINE int predux<Packet4i>(const Packet4i& a)
440{
441 Packet4i b, sum;
442 b = vec_sld(a, a, 8);
443 sum = padd<Packet4i>(a, b);
444 b = vec_sld(sum, sum, 4);
445 sum = padd<Packet4i>(sum, b);
446 return pfirst(sum);
447}
448
449template<> EIGEN_STRONG_INLINE double predux<Packet2d>(const Packet2d& a)
450{
451 Packet2d b, sum;
452 b = reinterpret_cast<Packet2d>(vec_sld(reinterpret_cast<Packet4i>(a), reinterpret_cast<Packet4i>(a), 8));
453 sum = padd<Packet2d>(a, b);
454 return pfirst(sum);
455}
456
457template<> EIGEN_STRONG_INLINE Packet4i preduxp<Packet4i>(const Packet4i* vecs)
458{
459 Packet4i v[4], sum[4];
460
461 // It's easier and faster to transpose then add as columns
462 // Check: http://www.freevec.org/function/matrix_4x4_transpose_floats for explanation
463 // Do the transpose, first set of moves
464 v[0] = vec_mergeh(vecs[0], vecs[2]);
465 v[1] = vec_mergel(vecs[0], vecs[2]);
466 v[2] = vec_mergeh(vecs[1], vecs[3]);
467 v[3] = vec_mergel(vecs[1], vecs[3]);
468 // Get the resulting vectors
469 sum[0] = vec_mergeh(v[0], v[2]);
470 sum[1] = vec_mergel(v[0], v[2]);
471 sum[2] = vec_mergeh(v[1], v[3]);
472 sum[3] = vec_mergel(v[1], v[3]);
473
474 // Now do the summation:
475 // Lines 0+1
476 sum[0] = padd<Packet4i>(sum[0], sum[1]);
477 // Lines 2+3
478 sum[1] = padd<Packet4i>(sum[2], sum[3]);
479 // Add the results
480 sum[0] = padd<Packet4i>(sum[0], sum[1]);
481
482 return sum[0];
483}
484
485template<> EIGEN_STRONG_INLINE Packet2d preduxp<Packet2d>(const Packet2d* vecs)
486{
487 Packet2d v[2], sum;
488 v[0] = padd<Packet2d>(vecs[0], reinterpret_cast<Packet2d>(vec_sld(reinterpret_cast<Packet4ui>(vecs[0]), reinterpret_cast<Packet4ui>(vecs[0]), 8)));
489 v[1] = padd<Packet2d>(vecs[1], reinterpret_cast<Packet2d>(vec_sld(reinterpret_cast<Packet4ui>(vecs[1]), reinterpret_cast<Packet4ui>(vecs[1]), 8)));
490
491 sum = reinterpret_cast<Packet2d>(vec_sld(reinterpret_cast<Packet4ui>(v[0]), reinterpret_cast<Packet4ui>(v[1]), 8));
492
493 return sum;
494}
495
496// Other reduction functions:
497// mul
498template<> EIGEN_STRONG_INLINE int predux_mul<Packet4i>(const Packet4i& a)
499{
500 EIGEN_ALIGN16 int aux[4];
501 pstore(aux, a);
502 return aux[0] * aux[1] * aux[2] * aux[3];
503}
504
505template<> EIGEN_STRONG_INLINE double predux_mul<Packet2d>(const Packet2d& a)
506{
507 return pfirst(pmul(a, reinterpret_cast<Packet2d>(vec_sld(reinterpret_cast<Packet4i>(a), reinterpret_cast<Packet4i>(a), 8))));
508}
509
510// min
511template<> EIGEN_STRONG_INLINE int predux_min<Packet4i>(const Packet4i& a)
512{
513 Packet4i b, res;
514 b = pmin<Packet4i>(a, vec_sld(a, a, 8));
515 res = pmin<Packet4i>(b, vec_sld(b, b, 4));
516 return pfirst(res);
517}
518
519template<> EIGEN_STRONG_INLINE double predux_min<Packet2d>(const Packet2d& a)
520{
521 return pfirst(pmin<Packet2d>(a, reinterpret_cast<Packet2d>(vec_sld(reinterpret_cast<Packet4i>(a), reinterpret_cast<Packet4i>(a), 8))));
522}
523
524// max
525template<> EIGEN_STRONG_INLINE int predux_max<Packet4i>(const Packet4i& a)
526{
527 Packet4i b, res;
528 b = pmax<Packet4i>(a, vec_sld(a, a, 8));
529 res = pmax<Packet4i>(b, vec_sld(b, b, 4));
530 return pfirst(res);
531}
532
533// max
534template<> EIGEN_STRONG_INLINE double predux_max<Packet2d>(const Packet2d& a)
535{
536 return pfirst(pmax<Packet2d>(a, reinterpret_cast<Packet2d>(vec_sld(reinterpret_cast<Packet4i>(a), reinterpret_cast<Packet4i>(a), 8))));
537}
538
539EIGEN_DEVICE_FUNC inline void
540ptranspose(PacketBlock<Packet4i,4>& kernel) {
541 Packet4i t0 = vec_mergeh(kernel.packet[0], kernel.packet[2]);
542 Packet4i t1 = vec_mergel(kernel.packet[0], kernel.packet[2]);
543 Packet4i t2 = vec_mergeh(kernel.packet[1], kernel.packet[3]);
544 Packet4i t3 = vec_mergel(kernel.packet[1], kernel.packet[3]);
545 kernel.packet[0] = vec_mergeh(t0, t2);
546 kernel.packet[1] = vec_mergel(t0, t2);
547 kernel.packet[2] = vec_mergeh(t1, t3);
548 kernel.packet[3] = vec_mergel(t1, t3);
549}
550
551EIGEN_DEVICE_FUNC inline void
552ptranspose(PacketBlock<Packet2d,2>& kernel) {
553 Packet2d t0 = vec_perm(kernel.packet[0], kernel.packet[1], p16uc_TRANSPOSE64_HI);
554 Packet2d t1 = vec_perm(kernel.packet[0], kernel.packet[1], p16uc_TRANSPOSE64_LO);
555 kernel.packet[0] = t0;
556 kernel.packet[1] = t1;
557}
558
559template<> EIGEN_STRONG_INLINE Packet4i pblend(const Selector<4>& ifPacket, const Packet4i& thenPacket, const Packet4i& elsePacket) {
560 Packet4ui select = { ifPacket.select[0], ifPacket.select[1], ifPacket.select[2], ifPacket.select[3] };
561 Packet4ui mask = vec_cmpeq(select, reinterpret_cast<Packet4ui>(p4i_ONE));
562 return vec_sel(elsePacket, thenPacket, mask);
563}
564
565template<> EIGEN_STRONG_INLINE Packet2d pblend(const Selector<2>& ifPacket, const Packet2d& thenPacket, const Packet2d& elsePacket) {
566 Packet2ul select = { ifPacket.select[0], ifPacket.select[1] };
567 Packet2ul mask = vec_cmpeq(select, reinterpret_cast<Packet2ul>(p2l_ONE));
568 return vec_sel(elsePacket, thenPacket, mask);
569}
570
571} // end namespace internal
572
573} // end namespace Eigen
574
575#endif // EIGEN_PACKET_MATH_ZVECTOR_H
@ Aligned16
Definition: Constants.h:230
Namespace containing all symbols from the Eigen library.
Definition: Core:287
EIGEN_DEFAULT_DENSE_INDEX_TYPE Index
The Index type as used for the API.
Definition: Meta.h:33