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Eigen  3.4.0
 
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AltiVec/Complex.h
1// This file is part of Eigen, a lightweight C++ template library
2// for linear algebra.
3//
4// Copyright (C) 2010 Gael Guennebaud <gael.guennebaud@inria.fr>
5// Copyright (C) 2010-2016 Konstantinos Margaritis <markos@freevec.org>
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_COMPLEX32_ALTIVEC_H
12#define EIGEN_COMPLEX32_ALTIVEC_H
13
14namespace Eigen {
15
16namespace internal {
17
18static Packet4ui p4ui_CONJ_XOR = vec_mergeh((Packet4ui)p4i_ZERO, (Packet4ui)p4f_MZERO);//{ 0x00000000, 0x80000000, 0x00000000, 0x80000000 };
19#ifdef __VSX__
20#if defined(_BIG_ENDIAN)
21static Packet2ul p2ul_CONJ_XOR1 = (Packet2ul) vec_sld((Packet4ui) p2d_MZERO, (Packet4ui) p2l_ZERO, 8);//{ 0x8000000000000000, 0x0000000000000000 };
22static Packet2ul p2ul_CONJ_XOR2 = (Packet2ul) vec_sld((Packet4ui) p2l_ZERO, (Packet4ui) p2d_MZERO, 8);//{ 0x8000000000000000, 0x0000000000000000 };
23#else
24static Packet2ul p2ul_CONJ_XOR1 = (Packet2ul) vec_sld((Packet4ui) p2l_ZERO, (Packet4ui) p2d_MZERO, 8);//{ 0x8000000000000000, 0x0000000000000000 };
25static Packet2ul p2ul_CONJ_XOR2 = (Packet2ul) vec_sld((Packet4ui) p2d_MZERO, (Packet4ui) p2l_ZERO, 8);//{ 0x8000000000000000, 0x0000000000000000 };
26#endif
27#endif
28
29//---------- float ----------
30struct Packet2cf
31{
32 EIGEN_STRONG_INLINE explicit Packet2cf() {}
33 EIGEN_STRONG_INLINE explicit Packet2cf(const Packet4f& a) : v(a) {}
34
35 EIGEN_STRONG_INLINE Packet2cf pmul(const Packet2cf& a, const Packet2cf& b)
36 {
37 Packet4f v1, v2;
38
39 // Permute and multiply the real parts of a and b
40 v1 = vec_perm(a.v, a.v, p16uc_PSET32_WODD);
41 // Get the imaginary parts of a
42 v2 = vec_perm(a.v, a.v, p16uc_PSET32_WEVEN);
43 // multiply a_re * b
44 v1 = vec_madd(v1, b.v, p4f_ZERO);
45 // multiply a_im * b and get the conjugate result
46 v2 = vec_madd(v2, b.v, p4f_ZERO);
47 v2 = reinterpret_cast<Packet4f>(pxor(v2, reinterpret_cast<Packet4f>(p4ui_CONJ_XOR)));
48 // permute back to a proper order
49 v2 = vec_perm(v2, v2, p16uc_COMPLEX32_REV);
50
51 return Packet2cf(padd<Packet4f>(v1, v2));
52 }
53
54 EIGEN_STRONG_INLINE Packet2cf& operator*=(const Packet2cf& b) {
55 v = pmul(Packet2cf(*this), b).v;
56 return *this;
57 }
58 EIGEN_STRONG_INLINE Packet2cf operator*(const Packet2cf& b) const {
59 return Packet2cf(*this) *= b;
60 }
61
62 EIGEN_STRONG_INLINE Packet2cf& operator+=(const Packet2cf& b) {
63 v = padd(v, b.v);
64 return *this;
65 }
66 EIGEN_STRONG_INLINE Packet2cf operator+(const Packet2cf& b) const {
67 return Packet2cf(*this) += b;
68 }
69 EIGEN_STRONG_INLINE Packet2cf& operator-=(const Packet2cf& b) {
70 v = psub(v, b.v);
71 return *this;
72 }
73 EIGEN_STRONG_INLINE Packet2cf operator-(const Packet2cf& b) const {
74 return Packet2cf(*this) -= b;
75 }
76 EIGEN_STRONG_INLINE Packet2cf operator-(void) const {
77 return Packet2cf(-v);
78 }
79
80 Packet4f v;
81};
82
83template<> struct packet_traits<std::complex<float> > : default_packet_traits
84{
85 typedef Packet2cf type;
86 typedef Packet2cf half;
87 typedef Packet4f as_real;
88 enum {
89 Vectorizable = 1,
90 AlignedOnScalar = 1,
91 size = 2,
92 HasHalfPacket = 0,
93
94 HasAdd = 1,
95 HasSub = 1,
96 HasMul = 1,
97 HasDiv = 1,
98 HasNegate = 1,
99 HasAbs = 0,
100 HasAbs2 = 0,
101 HasMin = 0,
102 HasMax = 0,
103#ifdef __VSX__
104 HasBlend = 1,
105#endif
106 HasSetLinear = 0
107 };
108};
109
110template<> struct unpacket_traits<Packet2cf> { typedef std::complex<float> type; enum {size=2, alignment=Aligned16, vectorizable=true, masked_load_available=false, masked_store_available=false}; typedef Packet2cf half; typedef Packet4f as_real; };
111
112template<> EIGEN_STRONG_INLINE Packet2cf pset1<Packet2cf>(const std::complex<float>& from)
113{
114 Packet2cf res;
115 if((std::ptrdiff_t(&from) % 16) == 0)
116 res.v = pload<Packet4f>((const float *)&from);
117 else
118 res.v = ploadu<Packet4f>((const float *)&from);
119 res.v = vec_perm(res.v, res.v, p16uc_PSET64_HI);
120 return res;
121}
122
123template<> EIGEN_STRONG_INLINE Packet2cf pload<Packet2cf>(const std::complex<float>* from) { return Packet2cf(pload<Packet4f>((const float *) from)); }
124template<> EIGEN_STRONG_INLINE Packet2cf ploadu<Packet2cf>(const std::complex<float>* from) { return Packet2cf(ploadu<Packet4f>((const float*) from)); }
125template<> EIGEN_STRONG_INLINE Packet2cf ploaddup<Packet2cf>(const std::complex<float>* from) { return pset1<Packet2cf>(*from); }
126
127template<> EIGEN_STRONG_INLINE void pstore <std::complex<float> >(std::complex<float> * to, const Packet2cf& from) { pstore((float*)to, from.v); }
128template<> EIGEN_STRONG_INLINE void pstoreu<std::complex<float> >(std::complex<float> * to, const Packet2cf& from) { pstoreu((float*)to, from.v); }
129
130EIGEN_STRONG_INLINE Packet2cf pload2(const std::complex<float>* from0, const std::complex<float>* from1)
131{
132 Packet4f res0, res1;
133#ifdef __VSX__
134 __asm__ ("lxsdx %x0,%y1" : "=wa" (res0) : "Z" (*from0));
135 __asm__ ("lxsdx %x0,%y1" : "=wa" (res1) : "Z" (*from1));
136#ifdef _BIG_ENDIAN
137 __asm__ ("xxpermdi %x0, %x1, %x2, 0" : "=wa" (res0) : "wa" (res0), "wa" (res1));
138#else
139 __asm__ ("xxpermdi %x0, %x2, %x1, 0" : "=wa" (res0) : "wa" (res0), "wa" (res1));
140#endif
141#else
142 *reinterpret_cast<std::complex<float> *>(&res0) = *from0;
143 *reinterpret_cast<std::complex<float> *>(&res1) = *from1;
144 res0 = vec_perm(res0, res1, p16uc_TRANSPOSE64_HI);
145#endif
146 return Packet2cf(res0);
147}
148
149template<> EIGEN_DEVICE_FUNC inline Packet2cf pgather<std::complex<float>, Packet2cf>(const std::complex<float>* from, Index stride)
150{
151 EIGEN_ALIGN16 std::complex<float> af[2];
152 af[0] = from[0*stride];
153 af[1] = from[1*stride];
154 return pload<Packet2cf>(af);
155}
156template<> EIGEN_DEVICE_FUNC inline void pscatter<std::complex<float>, Packet2cf>(std::complex<float>* to, const Packet2cf& from, Index stride)
157{
158 EIGEN_ALIGN16 std::complex<float> af[2];
159 pstore<std::complex<float> >((std::complex<float> *) af, from);
160 to[0*stride] = af[0];
161 to[1*stride] = af[1];
162}
163
164template<> EIGEN_STRONG_INLINE Packet2cf padd<Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(a.v + b.v); }
165template<> EIGEN_STRONG_INLINE Packet2cf psub<Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(a.v - b.v); }
166template<> EIGEN_STRONG_INLINE Packet2cf pnegate(const Packet2cf& a) { return Packet2cf(pnegate(a.v)); }
167template<> EIGEN_STRONG_INLINE Packet2cf pconj(const Packet2cf& a) { return Packet2cf(pxor<Packet4f>(a.v, reinterpret_cast<Packet4f>(p4ui_CONJ_XOR))); }
168
169template<> EIGEN_STRONG_INLINE Packet2cf pand <Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(pand<Packet4f>(a.v, b.v)); }
170template<> EIGEN_STRONG_INLINE Packet2cf por <Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(por<Packet4f>(a.v, b.v)); }
171template<> EIGEN_STRONG_INLINE Packet2cf pxor <Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(pxor<Packet4f>(a.v, b.v)); }
172template<> EIGEN_STRONG_INLINE Packet2cf pandnot<Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(pandnot<Packet4f>(a.v, b.v)); }
173
174template<> EIGEN_STRONG_INLINE void prefetch<std::complex<float> >(const std::complex<float> * addr) { EIGEN_PPC_PREFETCH(addr); }
175
176template<> EIGEN_STRONG_INLINE std::complex<float> pfirst<Packet2cf>(const Packet2cf& a)
177{
178 EIGEN_ALIGN16 std::complex<float> res[2];
179 pstore((float *)&res, a.v);
180
181 return res[0];
182}
183
184template<> EIGEN_STRONG_INLINE Packet2cf preverse(const Packet2cf& a)
185{
186 Packet4f rev_a;
187 rev_a = vec_perm(a.v, a.v, p16uc_COMPLEX32_REV2);
188 return Packet2cf(rev_a);
189}
190
191template<> EIGEN_STRONG_INLINE std::complex<float> predux<Packet2cf>(const Packet2cf& a)
192{
193 Packet4f b;
194 b = vec_sld(a.v, a.v, 8);
195 b = padd<Packet4f>(a.v, b);
196 return pfirst<Packet2cf>(Packet2cf(b));
197}
198
199template<> EIGEN_STRONG_INLINE std::complex<float> predux_mul<Packet2cf>(const Packet2cf& a)
200{
201 Packet4f b;
202 Packet2cf prod;
203 b = vec_sld(a.v, a.v, 8);
204 prod = pmul<Packet2cf>(a, Packet2cf(b));
205
206 return pfirst<Packet2cf>(prod);
207}
208
209EIGEN_MAKE_CONJ_HELPER_CPLX_REAL(Packet2cf,Packet4f)
210
211template<> EIGEN_STRONG_INLINE Packet2cf pdiv<Packet2cf>(const Packet2cf& a, const Packet2cf& b)
212{
213 // TODO optimize it for AltiVec
214 Packet2cf res = pmul(a, pconj(b));
215 Packet4f s = pmul<Packet4f>(b.v, b.v);
216 return Packet2cf(pdiv(res.v, padd<Packet4f>(s, vec_perm(s, s, p16uc_COMPLEX32_REV))));
217}
218
219template<> EIGEN_STRONG_INLINE Packet2cf pcplxflip<Packet2cf>(const Packet2cf& x)
220{
221 return Packet2cf(vec_perm(x.v, x.v, p16uc_COMPLEX32_REV));
222}
223
224EIGEN_STRONG_INLINE void ptranspose(PacketBlock<Packet2cf,2>& kernel)
225{
226 Packet4f tmp = vec_perm(kernel.packet[0].v, kernel.packet[1].v, p16uc_TRANSPOSE64_HI);
227 kernel.packet[1].v = vec_perm(kernel.packet[0].v, kernel.packet[1].v, p16uc_TRANSPOSE64_LO);
228 kernel.packet[0].v = tmp;
229}
230
231template<> EIGEN_STRONG_INLINE Packet2cf pcmp_eq(const Packet2cf& a, const Packet2cf& b) {
232 Packet4f eq = reinterpret_cast<Packet4f>(vec_cmpeq(a.v,b.v));
233 return Packet2cf(vec_and(eq, vec_perm(eq, eq, p16uc_COMPLEX32_REV)));
234}
235
236#ifdef __VSX__
237template<> EIGEN_STRONG_INLINE Packet2cf pblend(const Selector<2>& ifPacket, const Packet2cf& thenPacket, const Packet2cf& elsePacket) {
238 Packet2cf result;
239 result.v = reinterpret_cast<Packet4f>(pblend<Packet2d>(ifPacket, reinterpret_cast<Packet2d>(thenPacket.v), reinterpret_cast<Packet2d>(elsePacket.v)));
240 return result;
241}
242#endif
243
244template<> EIGEN_STRONG_INLINE Packet2cf psqrt<Packet2cf>(const Packet2cf& a)
245{
246 return psqrt_complex<Packet2cf>(a);
247}
248
249//---------- double ----------
250#ifdef __VSX__
251struct Packet1cd
252{
253 EIGEN_STRONG_INLINE Packet1cd() {}
254 EIGEN_STRONG_INLINE explicit Packet1cd(const Packet2d& a) : v(a) {}
255
256 EIGEN_STRONG_INLINE Packet1cd pmul(const Packet1cd& a, const Packet1cd& b)
257 {
258 Packet2d a_re, a_im, v1, v2;
259
260 // Permute and multiply the real parts of a and b
261 a_re = vec_perm(a.v, a.v, p16uc_PSET64_HI);
262 // Get the imaginary parts of a
263 a_im = vec_perm(a.v, a.v, p16uc_PSET64_LO);
264 // multiply a_re * b
265 v1 = vec_madd(a_re, b.v, p2d_ZERO);
266 // multiply a_im * b and get the conjugate result
267 v2 = vec_madd(a_im, b.v, p2d_ZERO);
268 v2 = reinterpret_cast<Packet2d>(vec_sld(reinterpret_cast<Packet4ui>(v2), reinterpret_cast<Packet4ui>(v2), 8));
269 v2 = pxor(v2, reinterpret_cast<Packet2d>(p2ul_CONJ_XOR1));
270
271 return Packet1cd(padd<Packet2d>(v1, v2));
272 }
273
274 EIGEN_STRONG_INLINE Packet1cd& operator*=(const Packet1cd& b) {
275 v = pmul(Packet1cd(*this), b).v;
276 return *this;
277 }
278 EIGEN_STRONG_INLINE Packet1cd operator*(const Packet1cd& b) const {
279 return Packet1cd(*this) *= b;
280 }
281
282 EIGEN_STRONG_INLINE Packet1cd& operator+=(const Packet1cd& b) {
283 v = padd(v, b.v);
284 return *this;
285 }
286 EIGEN_STRONG_INLINE Packet1cd operator+(const Packet1cd& b) const {
287 return Packet1cd(*this) += b;
288 }
289 EIGEN_STRONG_INLINE Packet1cd& operator-=(const Packet1cd& b) {
290 v = psub(v, b.v);
291 return *this;
292 }
293 EIGEN_STRONG_INLINE Packet1cd operator-(const Packet1cd& b) const {
294 return Packet1cd(*this) -= b;
295 }
296 EIGEN_STRONG_INLINE Packet1cd operator-(void) const {
297 return Packet1cd(-v);
298 }
299
300 Packet2d v;
301};
302
303template<> struct packet_traits<std::complex<double> > : default_packet_traits
304{
305 typedef Packet1cd type;
306 typedef Packet1cd half;
307 typedef Packet2d as_real;
308 enum {
309 Vectorizable = 1,
310 AlignedOnScalar = 0,
311 size = 1,
312 HasHalfPacket = 0,
313
314 HasAdd = 1,
315 HasSub = 1,
316 HasMul = 1,
317 HasDiv = 1,
318 HasNegate = 1,
319 HasAbs = 0,
320 HasAbs2 = 0,
321 HasMin = 0,
322 HasMax = 0,
323 HasSetLinear = 0
324 };
325};
326
327template<> struct unpacket_traits<Packet1cd> { typedef std::complex<double> type; enum {size=1, alignment=Aligned16, vectorizable=true, masked_load_available=false, masked_store_available=false}; typedef Packet1cd half; typedef Packet2d as_real; };
328
329template<> EIGEN_STRONG_INLINE Packet1cd pload <Packet1cd>(const std::complex<double>* from) { return Packet1cd(pload<Packet2d>((const double*)from)); }
330template<> EIGEN_STRONG_INLINE Packet1cd ploadu<Packet1cd>(const std::complex<double>* from) { return Packet1cd(ploadu<Packet2d>((const double*)from)); }
331template<> EIGEN_STRONG_INLINE void pstore <std::complex<double> >(std::complex<double> * to, const Packet1cd& from) { pstore((double*)to, from.v); }
332template<> EIGEN_STRONG_INLINE void pstoreu<std::complex<double> >(std::complex<double> * to, const Packet1cd& from) { pstoreu((double*)to, from.v); }
333
334template<> EIGEN_STRONG_INLINE Packet1cd pset1<Packet1cd>(const std::complex<double>& from)
335{ /* here we really have to use unaligned loads :( */ return ploadu<Packet1cd>(&from); }
336
337template<> EIGEN_DEVICE_FUNC inline Packet1cd pgather<std::complex<double>, Packet1cd>(const std::complex<double>* from, Index)
338{
339 return pload<Packet1cd>(from);
340}
341template<> EIGEN_DEVICE_FUNC inline void pscatter<std::complex<double>, Packet1cd>(std::complex<double>* to, const Packet1cd& from, Index)
342{
343 pstore<std::complex<double> >(to, from);
344}
345
346template<> EIGEN_STRONG_INLINE Packet1cd padd<Packet1cd>(const Packet1cd& a, const Packet1cd& b) { return Packet1cd(a.v + b.v); }
347template<> EIGEN_STRONG_INLINE Packet1cd psub<Packet1cd>(const Packet1cd& a, const Packet1cd& b) { return Packet1cd(a.v - b.v); }
348template<> EIGEN_STRONG_INLINE Packet1cd pnegate(const Packet1cd& a) { return Packet1cd(pnegate(Packet2d(a.v))); }
349template<> EIGEN_STRONG_INLINE Packet1cd pconj(const Packet1cd& a) { return Packet1cd(pxor(a.v, reinterpret_cast<Packet2d>(p2ul_CONJ_XOR2))); }
350
351template<> EIGEN_STRONG_INLINE Packet1cd pand <Packet1cd>(const Packet1cd& a, const Packet1cd& b) { return Packet1cd(pand(a.v,b.v)); }
352template<> EIGEN_STRONG_INLINE Packet1cd por <Packet1cd>(const Packet1cd& a, const Packet1cd& b) { return Packet1cd(por(a.v,b.v)); }
353template<> EIGEN_STRONG_INLINE Packet1cd pxor <Packet1cd>(const Packet1cd& a, const Packet1cd& b) { return Packet1cd(pxor(a.v,b.v)); }
354template<> EIGEN_STRONG_INLINE Packet1cd pandnot<Packet1cd>(const Packet1cd& a, const Packet1cd& b) { return Packet1cd(pandnot(a.v, b.v)); }
355
356template<> EIGEN_STRONG_INLINE Packet1cd ploaddup<Packet1cd>(const std::complex<double>* from) { return pset1<Packet1cd>(*from); }
357
358template<> EIGEN_STRONG_INLINE void prefetch<std::complex<double> >(const std::complex<double> * addr) { EIGEN_PPC_PREFETCH(addr); }
359
360template<> EIGEN_STRONG_INLINE std::complex<double> pfirst<Packet1cd>(const Packet1cd& a)
361{
362 EIGEN_ALIGN16 std::complex<double> res[2];
363 pstore<std::complex<double> >(res, a);
364
365 return res[0];
366}
367
368template<> EIGEN_STRONG_INLINE Packet1cd preverse(const Packet1cd& a) { return a; }
369
370template<> EIGEN_STRONG_INLINE std::complex<double> predux<Packet1cd>(const Packet1cd& a) { return pfirst(a); }
371
372template<> EIGEN_STRONG_INLINE std::complex<double> predux_mul<Packet1cd>(const Packet1cd& a) { return pfirst(a); }
373
374EIGEN_MAKE_CONJ_HELPER_CPLX_REAL(Packet1cd,Packet2d)
375
376template<> EIGEN_STRONG_INLINE Packet1cd pdiv<Packet1cd>(const Packet1cd& a, const Packet1cd& b)
377{
378 // TODO optimize it for AltiVec
379 Packet1cd res = pmul(a,pconj(b));
380 Packet2d s = pmul<Packet2d>(b.v, b.v);
381 return Packet1cd(pdiv(res.v, padd<Packet2d>(s, vec_perm(s, s, p16uc_REVERSE64))));
382}
383
384EIGEN_STRONG_INLINE Packet1cd pcplxflip/*<Packet1cd>*/(const Packet1cd& x)
385{
386 return Packet1cd(preverse(Packet2d(x.v)));
387}
388
389EIGEN_STRONG_INLINE void ptranspose(PacketBlock<Packet1cd,2>& kernel)
390{
391 Packet2d tmp = vec_perm(kernel.packet[0].v, kernel.packet[1].v, p16uc_TRANSPOSE64_HI);
392 kernel.packet[1].v = vec_perm(kernel.packet[0].v, kernel.packet[1].v, p16uc_TRANSPOSE64_LO);
393 kernel.packet[0].v = tmp;
394}
395
396template<> EIGEN_STRONG_INLINE Packet1cd pcmp_eq(const Packet1cd& a, const Packet1cd& b) {
397 // Compare real and imaginary parts of a and b to get the mask vector:
398 // [re(a)==re(b), im(a)==im(b)]
399 Packet2d eq = reinterpret_cast<Packet2d>(vec_cmpeq(a.v,b.v));
400 // Swap real/imag elements in the mask in to get:
401 // [im(a)==im(b), re(a)==re(b)]
402 Packet2d eq_swapped = reinterpret_cast<Packet2d>(vec_sld(reinterpret_cast<Packet4ui>(eq), reinterpret_cast<Packet4ui>(eq), 8));
403 // Return re(a)==re(b) & im(a)==im(b) by computing bitwise AND of eq and eq_swapped
404 return Packet1cd(vec_and(eq, eq_swapped));
405}
406
407template<> EIGEN_STRONG_INLINE Packet1cd psqrt<Packet1cd>(const Packet1cd& a)
408{
409 return psqrt_complex<Packet1cd>(a);
410}
411
412#endif // __VSX__
413} // end namespace internal
414
415} // end namespace Eigen
416
417#endif // EIGEN_COMPLEX32_ALTIVEC_H
@ Aligned16
Definition: Constants.h:235
Namespace containing all symbols from the Eigen library.
Definition: Core:141
EIGEN_DEFAULT_DENSE_INDEX_TYPE Index
The Index type as used for the API.
Definition: Meta.h:74