Eigen  3.2.10
 
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GenericPacketMath.h
1// This file is part of Eigen, a lightweight C++ template library
2// for linear algebra.
3//
4// Copyright (C) 2008 Gael Guennebaud <gael.guennebaud@inria.fr>
5// Copyright (C) 2006-2008 Benoit Jacob <jacob.benoit.1@gmail.com>
6//
7// This Source Code Form is subject to the terms of the Mozilla
8// Public License v. 2.0. If a copy of the MPL was not distributed
9// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
10
11#ifndef EIGEN_GENERIC_PACKET_MATH_H
12#define EIGEN_GENERIC_PACKET_MATH_H
13
14namespace Eigen {
15
16namespace internal {
17
25
26#ifndef EIGEN_DEBUG_ALIGNED_LOAD
27#define EIGEN_DEBUG_ALIGNED_LOAD
28#endif
29
30#ifndef EIGEN_DEBUG_UNALIGNED_LOAD
31#define EIGEN_DEBUG_UNALIGNED_LOAD
32#endif
33
34#ifndef EIGEN_DEBUG_ALIGNED_STORE
35#define EIGEN_DEBUG_ALIGNED_STORE
36#endif
37
38#ifndef EIGEN_DEBUG_UNALIGNED_STORE
39#define EIGEN_DEBUG_UNALIGNED_STORE
40#endif
41
42struct default_packet_traits
43{
44 enum {
45 HasAdd = 1,
46 HasSub = 1,
47 HasMul = 1,
48 HasNegate = 1,
49 HasAbs = 1,
50 HasAbs2 = 1,
51 HasMin = 1,
52 HasMax = 1,
53 HasConj = 1,
54 HasSetLinear = 1,
55
56 HasDiv = 0,
57 HasSqrt = 0,
58 HasExp = 0,
59 HasLog = 0,
60 HasPow = 0,
61
62 HasSin = 0,
63 HasCos = 0,
64 HasTan = 0,
65 HasASin = 0,
66 HasACos = 0,
67 HasATan = 0
68 };
69};
70
71template<typename T> struct packet_traits : default_packet_traits
72{
73 typedef T type;
74 enum {
75 Vectorizable = 0,
76 size = 1,
77 AlignedOnScalar = 0
78 };
79 enum {
80 HasAdd = 0,
81 HasSub = 0,
82 HasMul = 0,
83 HasNegate = 0,
84 HasAbs = 0,
85 HasAbs2 = 0,
86 HasMin = 0,
87 HasMax = 0,
88 HasConj = 0,
89 HasSetLinear = 0
90 };
91};
92
94template<typename Packet> inline Packet
95padd(const Packet& a,
96 const Packet& b) { return a+b; }
97
99template<typename Packet> inline Packet
100psub(const Packet& a,
101 const Packet& b) { return a-b; }
102
104template<typename Packet> inline Packet
105pnegate(const Packet& a) { return -a; }
106
108template<typename Packet> inline Packet
109pconj(const Packet& a) { return numext::conj(a); }
110
112template<typename Packet> inline Packet
113pmul(const Packet& a,
114 const Packet& b) { return a*b; }
115
117template<typename Packet> inline Packet
118pdiv(const Packet& a,
119 const Packet& b) { return a/b; }
120
122template<typename Packet> inline Packet
123pmin(const Packet& a,
124 const Packet& b) { using std::min; return (min)(a, b); }
125
127template<typename Packet> inline Packet
128pmax(const Packet& a,
129 const Packet& b) { using std::max; return (max)(a, b); }
130
132template<typename Packet> inline Packet
133pabs(const Packet& a) { using std::abs; return abs(a); }
134
136template<typename Packet> inline Packet
137pand(const Packet& a, const Packet& b) { return a & b; }
138
140template<typename Packet> inline Packet
141por(const Packet& a, const Packet& b) { return a | b; }
142
144template<typename Packet> inline Packet
145pxor(const Packet& a, const Packet& b) { return a ^ b; }
146
148template<typename Packet> inline Packet
149pandnot(const Packet& a, const Packet& b) { return a & (!b); }
150
152template<typename Packet> inline Packet
153pload(const typename unpacket_traits<Packet>::type* from) { return *from; }
154
156template<typename Packet> inline Packet
157ploadu(const typename unpacket_traits<Packet>::type* from) { return *from; }
158
164template<typename Packet> inline Packet
165ploaddup(const typename unpacket_traits<Packet>::type* from) { return *from; }
166
168template<typename Packet> inline Packet
169pset1(const typename unpacket_traits<Packet>::type& a) { return a; }
170
172template<typename Scalar> inline typename packet_traits<Scalar>::type
173plset(const Scalar& a) { return a; }
174
176template<typename Scalar, typename Packet> inline void pstore(Scalar* to, const Packet& from)
177{ (*to) = from; }
178
180template<typename Scalar, typename Packet> inline void pstoreu(Scalar* to, const Packet& from)
181{ (*to) = from; }
182
184template<typename Scalar> inline void prefetch(const Scalar* addr)
185{
186#if (!EIGEN_COMP_MSVC) && (EIGEN_COMP_GNUC || EIGEN_COMP_CLANG || EIGEN_COMP_ICC)
187 __builtin_prefetch(addr);
188#endif
189}
190
192template<typename Packet> inline typename unpacket_traits<Packet>::type pfirst(const Packet& a)
193{ return a; }
194
196template<typename Packet> inline Packet
197preduxp(const Packet* vecs) { return vecs[0]; }
198
200template<typename Packet> inline typename unpacket_traits<Packet>::type predux(const Packet& a)
201{ return a; }
202
204template<typename Packet> inline typename unpacket_traits<Packet>::type predux_mul(const Packet& a)
205{ return a; }
206
208template<typename Packet> inline typename unpacket_traits<Packet>::type predux_min(const Packet& a)
209{ return a; }
210
212template<typename Packet> inline typename unpacket_traits<Packet>::type predux_max(const Packet& a)
213{ return a; }
214
216template<typename Packet> inline Packet preverse(const Packet& a)
217{ return a; }
218
219
221template<typename Packet> inline Packet pcplxflip(const Packet& a)
222{
223 // FIXME: uncomment the following in case we drop the internal imag and real functions.
224// using std::imag;
225// using std::real;
226 return Packet(imag(a),real(a));
227}
228
229/**************************
230* Special math functions
231***************************/
232
234template<typename Packet> EIGEN_DECLARE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS
235Packet psin(const Packet& a) { using std::sin; return sin(a); }
236
238template<typename Packet> EIGEN_DECLARE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS
239Packet pcos(const Packet& a) { using std::cos; return cos(a); }
240
242template<typename Packet> EIGEN_DECLARE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS
243Packet ptan(const Packet& a) { using std::tan; return tan(a); }
244
246template<typename Packet> EIGEN_DECLARE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS
247Packet pasin(const Packet& a) { using std::asin; return asin(a); }
248
250template<typename Packet> EIGEN_DECLARE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS
251Packet pacos(const Packet& a) { using std::acos; return acos(a); }
252
254template<typename Packet> EIGEN_DECLARE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS
255Packet pexp(const Packet& a) { using std::exp; return exp(a); }
256
258template<typename Packet> EIGEN_DECLARE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS
259Packet plog(const Packet& a) { using std::log; return log(a); }
260
262template<typename Packet> EIGEN_DECLARE_FUNCTION_ALLOWING_MULTIPLE_DEFINITIONS
263Packet psqrt(const Packet& a) { using std::sqrt; return sqrt(a); }
264
265/***************************************************************************
266* The following functions might not have to be overwritten for vectorized types
267***************************************************************************/
268
270// NOTE: this function must really be templated on the packet type (think about different packet types for the same scalar type)
271template<typename Packet>
272inline void pstore1(typename unpacket_traits<Packet>::type* to, const typename unpacket_traits<Packet>::type& a)
273{
274 pstore(to, pset1<Packet>(a));
275}
276
278template<typename Packet> inline Packet
279pmadd(const Packet& a,
280 const Packet& b,
281 const Packet& c)
282{ return padd(pmul(a, b),c); }
283
286template<typename Packet, int LoadMode>
287inline Packet ploadt(const typename unpacket_traits<Packet>::type* from)
288{
289 if(LoadMode == Aligned)
290 return pload<Packet>(from);
291 else
292 return ploadu<Packet>(from);
293}
294
297template<typename Scalar, typename Packet, int LoadMode>
298inline void pstoret(Scalar* to, const Packet& from)
299{
300 if(LoadMode == Aligned)
301 pstore(to, from);
302 else
303 pstoreu(to, from);
304}
305
307template<int Offset,typename PacketType>
308struct palign_impl
309{
310 // by default data are aligned, so there is nothing to be done :)
311 static inline void run(PacketType&, const PacketType&) {}
312};
313
329template<int Offset,typename PacketType>
330inline void palign(PacketType& first, const PacketType& second)
331{
332 palign_impl<Offset,PacketType>::run(first,second);
333}
334
335/***************************************************************************
336* Fast complex products (GCC generates a function call which is very slow)
337***************************************************************************/
338
339template<> inline std::complex<float> pmul(const std::complex<float>& a, const std::complex<float>& b)
340{ return std::complex<float>(real(a)*real(b) - imag(a)*imag(b), imag(a)*real(b) + real(a)*imag(b)); }
341
342template<> inline std::complex<double> pmul(const std::complex<double>& a, const std::complex<double>& b)
343{ return std::complex<double>(real(a)*real(b) - imag(a)*imag(b), imag(a)*real(b) + real(a)*imag(b)); }
344
345} // end namespace internal
346
347} // end namespace Eigen
348
349#endif // EIGEN_GENERIC_PACKET_MATH_H
350
Eigen::Aligned
@ Aligned
Definition Constants.h:194
Eigen::internal
Definition LDLT.h:18