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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 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_COMPLEX_NEON_H
12#define EIGEN_COMPLEX_NEON_H
13
14namespace Eigen {
15
16namespace internal {
17
18inline uint32x4_t p4ui_CONJ_XOR()
19{
20// See bug 1325, clang fails to call vld1q_u64.
21#if EIGEN_COMP_CLANG || EIGEN_COMP_CASTXML
22 uint32x4_t ret = { 0x00000000, 0x80000000, 0x00000000, 0x80000000 };
23 return ret;
24#else
25 static const uint32_t conj_XOR_DATA[] = { 0x00000000, 0x80000000, 0x00000000, 0x80000000 };
26 return vld1q_u32( conj_XOR_DATA );
27#endif
28}
29
30inline uint32x2_t p2ui_CONJ_XOR()
31{
32 static const uint32_t conj_XOR_DATA[] = { 0x00000000, 0x80000000 };
33 return vld1_u32( conj_XOR_DATA );
34}
35
36//---------- float ----------
37
38struct Packet1cf
39{
40 EIGEN_STRONG_INLINE Packet1cf() {}
41 EIGEN_STRONG_INLINE explicit Packet1cf(const Packet2f& a) : v(a) {}
42 Packet2f v;
43};
44struct Packet2cf
45{
46 EIGEN_STRONG_INLINE Packet2cf() {}
47 EIGEN_STRONG_INLINE explicit Packet2cf(const Packet4f& a) : v(a) {}
48 Packet4f v;
49};
50
51template<> struct packet_traits<std::complex<float> > : default_packet_traits
52{
53 typedef Packet2cf type;
54 typedef Packet1cf half;
55 enum
56 {
57 Vectorizable = 1,
58 AlignedOnScalar = 1,
59 size = 2,
60 HasHalfPacket = 1,
61
62 HasAdd = 1,
63 HasSub = 1,
64 HasMul = 1,
65 HasDiv = 1,
66 HasNegate = 1,
67 HasAbs = 0,
68 HasAbs2 = 0,
69 HasMin = 0,
70 HasMax = 0,
71 HasSetLinear = 0
72 };
73};
74
75template<> struct unpacket_traits<Packet1cf>
76{
77 typedef std::complex<float> type;
78 typedef Packet1cf half;
79 typedef Packet2f as_real;
80 enum
81 {
82 size = 1,
83 alignment = Aligned16,
84 vectorizable = true,
85 masked_load_available = false,
86 masked_store_available = false
87 };
88};
89template<> struct unpacket_traits<Packet2cf>
90{
91 typedef std::complex<float> type;
92 typedef Packet1cf half;
93 typedef Packet4f as_real;
94 enum
95 {
96 size = 2,
97 alignment = Aligned16,
98 vectorizable = true,
99 masked_load_available = false,
100 masked_store_available = false
101 };
102};
103
104template<> EIGEN_STRONG_INLINE Packet1cf pcast<float,Packet1cf>(const float& a)
105{ return Packet1cf(vset_lane_f32(a, vdup_n_f32(0.f), 0)); }
106template<> EIGEN_STRONG_INLINE Packet2cf pcast<Packet2f,Packet2cf>(const Packet2f& a)
107{ return Packet2cf(vreinterpretq_f32_u64(vmovl_u32(vreinterpret_u32_f32(a)))); }
108
109template<> EIGEN_STRONG_INLINE Packet1cf pset1<Packet1cf>(const std::complex<float>& from)
110{ return Packet1cf(vld1_f32(reinterpret_cast<const float*>(&from))); }
111template<> EIGEN_STRONG_INLINE Packet2cf pset1<Packet2cf>(const std::complex<float>& from)
112{
113 const float32x2_t r64 = vld1_f32(reinterpret_cast<const float*>(&from));
114 return Packet2cf(vcombine_f32(r64, r64));
115}
116
117template<> EIGEN_STRONG_INLINE Packet1cf padd<Packet1cf>(const Packet1cf& a, const Packet1cf& b)
118{ return Packet1cf(padd<Packet2f>(a.v, b.v)); }
119template<> EIGEN_STRONG_INLINE Packet2cf padd<Packet2cf>(const Packet2cf& a, const Packet2cf& b)
120{ return Packet2cf(padd<Packet4f>(a.v, b.v)); }
121
122template<> EIGEN_STRONG_INLINE Packet1cf psub<Packet1cf>(const Packet1cf& a, const Packet1cf& b)
123{ return Packet1cf(psub<Packet2f>(a.v, b.v)); }
124template<> EIGEN_STRONG_INLINE Packet2cf psub<Packet2cf>(const Packet2cf& a, const Packet2cf& b)
125{ return Packet2cf(psub<Packet4f>(a.v, b.v)); }
126
127template<> EIGEN_STRONG_INLINE Packet1cf pnegate(const Packet1cf& a) { return Packet1cf(pnegate<Packet2f>(a.v)); }
128template<> EIGEN_STRONG_INLINE Packet2cf pnegate(const Packet2cf& a) { return Packet2cf(pnegate<Packet4f>(a.v)); }
129
130template<> EIGEN_STRONG_INLINE Packet1cf pconj(const Packet1cf& a)
131{
132 const Packet2ui b = Packet2ui(vreinterpret_u32_f32(a.v));
133 return Packet1cf(vreinterpret_f32_u32(veor_u32(b, p2ui_CONJ_XOR())));
134}
135template<> EIGEN_STRONG_INLINE Packet2cf pconj(const Packet2cf& a)
136{
137 const Packet4ui b = Packet4ui(vreinterpretq_u32_f32(a.v));
138 return Packet2cf(vreinterpretq_f32_u32(veorq_u32(b, p4ui_CONJ_XOR())));
139}
140
141template<> EIGEN_STRONG_INLINE Packet1cf pmul<Packet1cf>(const Packet1cf& a, const Packet1cf& b)
142{
143 Packet2f v1, v2;
144
145 // Get the real values of a | a1_re | a1_re |
146 v1 = vdup_lane_f32(a.v, 0);
147 // Get the imag values of a | a1_im | a1_im |
148 v2 = vdup_lane_f32(a.v, 1);
149 // Multiply the real a with b
150 v1 = vmul_f32(v1, b.v);
151 // Multiply the imag a with b
152 v2 = vmul_f32(v2, b.v);
153 // Conjugate v2
154 v2 = vreinterpret_f32_u32(veor_u32(vreinterpret_u32_f32(v2), p2ui_CONJ_XOR()));
155 // Swap real/imag elements in v2.
156 v2 = vrev64_f32(v2);
157 // Add and return the result
158 return Packet1cf(vadd_f32(v1, v2));
159}
160template<> EIGEN_STRONG_INLINE Packet2cf pmul<Packet2cf>(const Packet2cf& a, const Packet2cf& b)
161{
162 Packet4f v1, v2;
163
164 // Get the real values of a | a1_re | a1_re | a2_re | a2_re |
165 v1 = vcombine_f32(vdup_lane_f32(vget_low_f32(a.v), 0), vdup_lane_f32(vget_high_f32(a.v), 0));
166 // Get the imag values of a | a1_im | a1_im | a2_im | a2_im |
167 v2 = vcombine_f32(vdup_lane_f32(vget_low_f32(a.v), 1), vdup_lane_f32(vget_high_f32(a.v), 1));
168 // Multiply the real a with b
169 v1 = vmulq_f32(v1, b.v);
170 // Multiply the imag a with b
171 v2 = vmulq_f32(v2, b.v);
172 // Conjugate v2
173 v2 = vreinterpretq_f32_u32(veorq_u32(vreinterpretq_u32_f32(v2), p4ui_CONJ_XOR()));
174 // Swap real/imag elements in v2.
175 v2 = vrev64q_f32(v2);
176 // Add and return the result
177 return Packet2cf(vaddq_f32(v1, v2));
178}
179
180template<> EIGEN_STRONG_INLINE Packet1cf pcmp_eq(const Packet1cf& a, const Packet1cf& b)
181{
182 // Compare real and imaginary parts of a and b to get the mask vector:
183 // [re(a[0])==re(b[0]), im(a[0])==im(b[0])]
184 Packet2f eq = pcmp_eq<Packet2f>(a.v, b.v);
185 // Swap real/imag elements in the mask in to get:
186 // [im(a[0])==im(b[0]), re(a[0])==re(b[0])]
187 Packet2f eq_swapped = vrev64_f32(eq);
188 // Return re(a)==re(b) && im(a)==im(b) by computing bitwise AND of eq and eq_swapped
189 return Packet1cf(pand<Packet2f>(eq, eq_swapped));
190}
191template<> EIGEN_STRONG_INLINE Packet2cf pcmp_eq(const Packet2cf& a, const Packet2cf& b)
192{
193 // Compare real and imaginary parts of a and b to get the mask vector:
194 // [re(a[0])==re(b[0]), im(a[0])==im(b[0]), re(a[1])==re(b[1]), im(a[1])==im(b[1])]
195 Packet4f eq = pcmp_eq<Packet4f>(a.v, b.v);
196 // Swap real/imag elements in the mask in to get:
197 // [im(a[0])==im(b[0]), re(a[0])==re(b[0]), im(a[1])==im(b[1]), re(a[1])==re(b[1])]
198 Packet4f eq_swapped = vrev64q_f32(eq);
199 // Return re(a)==re(b) && im(a)==im(b) by computing bitwise AND of eq and eq_swapped
200 return Packet2cf(pand<Packet4f>(eq, eq_swapped));
201}
202
203template<> EIGEN_STRONG_INLINE Packet1cf pand<Packet1cf>(const Packet1cf& a, const Packet1cf& b)
204{ return Packet1cf(vreinterpret_f32_u32(vand_u32(vreinterpret_u32_f32(a.v), vreinterpret_u32_f32(b.v)))); }
205template<> EIGEN_STRONG_INLINE Packet2cf pand<Packet2cf>(const Packet2cf& a, const Packet2cf& b)
206{ return Packet2cf(vreinterpretq_f32_u32(vandq_u32(vreinterpretq_u32_f32(a.v), vreinterpretq_u32_f32(b.v)))); }
207
208template<> EIGEN_STRONG_INLINE Packet1cf por<Packet1cf>(const Packet1cf& a, const Packet1cf& b)
209{ return Packet1cf(vreinterpret_f32_u32(vorr_u32(vreinterpret_u32_f32(a.v), vreinterpret_u32_f32(b.v)))); }
210template<> EIGEN_STRONG_INLINE Packet2cf por<Packet2cf>(const Packet2cf& a, const Packet2cf& b)
211{ return Packet2cf(vreinterpretq_f32_u32(vorrq_u32(vreinterpretq_u32_f32(a.v), vreinterpretq_u32_f32(b.v)))); }
212
213template<> EIGEN_STRONG_INLINE Packet1cf pxor<Packet1cf>(const Packet1cf& a, const Packet1cf& b)
214{ return Packet1cf(vreinterpret_f32_u32(veor_u32(vreinterpret_u32_f32(a.v), vreinterpret_u32_f32(b.v)))); }
215template<> EIGEN_STRONG_INLINE Packet2cf pxor<Packet2cf>(const Packet2cf& a, const Packet2cf& b)
216{ return Packet2cf(vreinterpretq_f32_u32(veorq_u32(vreinterpretq_u32_f32(a.v), vreinterpretq_u32_f32(b.v)))); }
217
218template<> EIGEN_STRONG_INLINE Packet1cf pandnot<Packet1cf>(const Packet1cf& a, const Packet1cf& b)
219{ return Packet1cf(vreinterpret_f32_u32(vbic_u32(vreinterpret_u32_f32(a.v), vreinterpret_u32_f32(b.v)))); }
220template<> EIGEN_STRONG_INLINE Packet2cf pandnot<Packet2cf>(const Packet2cf& a, const Packet2cf& b)
221{ return Packet2cf(vreinterpretq_f32_u32(vbicq_u32(vreinterpretq_u32_f32(a.v), vreinterpretq_u32_f32(b.v)))); }
222
223template<> EIGEN_STRONG_INLINE Packet1cf pload<Packet1cf>(const std::complex<float>* from)
224{ EIGEN_DEBUG_ALIGNED_LOAD return Packet1cf(pload<Packet2f>((const float*)from)); }
225template<> EIGEN_STRONG_INLINE Packet2cf pload<Packet2cf>(const std::complex<float>* from)
226{ EIGEN_DEBUG_ALIGNED_LOAD return Packet2cf(pload<Packet4f>(reinterpret_cast<const float*>(from))); }
227
228template<> EIGEN_STRONG_INLINE Packet1cf ploadu<Packet1cf>(const std::complex<float>* from)
229{ EIGEN_DEBUG_UNALIGNED_LOAD return Packet1cf(ploadu<Packet2f>((const float*)from)); }
230template<> EIGEN_STRONG_INLINE Packet2cf ploadu<Packet2cf>(const std::complex<float>* from)
231{ EIGEN_DEBUG_UNALIGNED_LOAD return Packet2cf(ploadu<Packet4f>(reinterpret_cast<const float*>(from))); }
232
233template<> EIGEN_STRONG_INLINE Packet1cf ploaddup<Packet1cf>(const std::complex<float>* from)
234{ return pset1<Packet1cf>(*from); }
235template<> EIGEN_STRONG_INLINE Packet2cf ploaddup<Packet2cf>(const std::complex<float>* from)
236{ return pset1<Packet2cf>(*from); }
237
238template<> EIGEN_STRONG_INLINE void pstore <std::complex<float> >(std::complex<float> *to, const Packet1cf& from)
239{ EIGEN_DEBUG_ALIGNED_STORE pstore((float*)to, from.v); }
240template<> EIGEN_STRONG_INLINE void pstore <std::complex<float> >(std::complex<float> *to, const Packet2cf& from)
241{ EIGEN_DEBUG_ALIGNED_STORE pstore(reinterpret_cast<float*>(to), from.v); }
242
243template<> EIGEN_STRONG_INLINE void pstoreu<std::complex<float> >(std::complex<float> *to, const Packet1cf& from)
244{ EIGEN_DEBUG_UNALIGNED_STORE pstoreu((float*)to, from.v); }
245template<> EIGEN_STRONG_INLINE void pstoreu<std::complex<float> >(std::complex<float> *to, const Packet2cf& from)
246{ EIGEN_DEBUG_UNALIGNED_STORE pstoreu(reinterpret_cast<float*>(to), from.v); }
247
248template<> EIGEN_DEVICE_FUNC inline Packet1cf pgather<std::complex<float>, Packet1cf>(
249 const std::complex<float>* from, Index stride)
250{
251 const Packet2f tmp = vdup_n_f32(std::real(from[0*stride]));
252 return Packet1cf(vset_lane_f32(std::imag(from[0*stride]), tmp, 1));
253}
254template<> EIGEN_DEVICE_FUNC inline Packet2cf pgather<std::complex<float>, Packet2cf>(
255 const std::complex<float>* from, Index stride)
256{
257 Packet4f res = vdupq_n_f32(std::real(from[0*stride]));
258 res = vsetq_lane_f32(std::imag(from[0*stride]), res, 1);
259 res = vsetq_lane_f32(std::real(from[1*stride]), res, 2);
260 res = vsetq_lane_f32(std::imag(from[1*stride]), res, 3);
261 return Packet2cf(res);
262}
263
264template<> EIGEN_DEVICE_FUNC inline void pscatter<std::complex<float>, Packet1cf>(
265 std::complex<float>* to, const Packet1cf& from, Index stride)
266{ to[stride*0] = std::complex<float>(vget_lane_f32(from.v, 0), vget_lane_f32(from.v, 1)); }
267template<> EIGEN_DEVICE_FUNC inline void pscatter<std::complex<float>, Packet2cf>(
268 std::complex<float>* to, const Packet2cf& from, Index stride)
269{
270 to[stride*0] = std::complex<float>(vgetq_lane_f32(from.v, 0), vgetq_lane_f32(from.v, 1));
271 to[stride*1] = std::complex<float>(vgetq_lane_f32(from.v, 2), vgetq_lane_f32(from.v, 3));
272}
273
274template<> EIGEN_STRONG_INLINE void prefetch<std::complex<float> >(const std::complex<float> *addr)
275{ EIGEN_ARM_PREFETCH(reinterpret_cast<const float*>(addr)); }
276
277template<> EIGEN_STRONG_INLINE std::complex<float> pfirst<Packet1cf>(const Packet1cf& a)
278{
279 EIGEN_ALIGN16 std::complex<float> x;
280 vst1_f32(reinterpret_cast<float*>(&x), a.v);
281 return x;
282}
283template<> EIGEN_STRONG_INLINE std::complex<float> pfirst<Packet2cf>(const Packet2cf& a)
284{
285 EIGEN_ALIGN16 std::complex<float> x[2];
286 vst1q_f32(reinterpret_cast<float*>(x), a.v);
287 return x[0];
288}
289
290template<> EIGEN_STRONG_INLINE Packet1cf preverse(const Packet1cf& a) { return a; }
291template<> EIGEN_STRONG_INLINE Packet2cf preverse(const Packet2cf& a)
292{ return Packet2cf(vcombine_f32(vget_high_f32(a.v), vget_low_f32(a.v))); }
293
294template<> EIGEN_STRONG_INLINE Packet1cf pcplxflip<Packet1cf>(const Packet1cf& a)
295{ return Packet1cf(vrev64_f32(a.v)); }
296template<> EIGEN_STRONG_INLINE Packet2cf pcplxflip<Packet2cf>(const Packet2cf& a)
297{ return Packet2cf(vrev64q_f32(a.v)); }
298
299template<> EIGEN_STRONG_INLINE std::complex<float> predux<Packet1cf>(const Packet1cf& a)
300{
301 std::complex<float> s;
302 vst1_f32((float *)&s, a.v);
303 return s;
304}
305template<> EIGEN_STRONG_INLINE std::complex<float> predux<Packet2cf>(const Packet2cf& a)
306{
307 std::complex<float> s;
308 vst1_f32(reinterpret_cast<float*>(&s), vadd_f32(vget_low_f32(a.v), vget_high_f32(a.v)));
309 return s;
310}
311
312template<> EIGEN_STRONG_INLINE std::complex<float> predux_mul<Packet1cf>(const Packet1cf& a)
313{
314 std::complex<float> s;
315 vst1_f32((float *)&s, a.v);
316 return s;
317}
318template<> EIGEN_STRONG_INLINE std::complex<float> predux_mul<Packet2cf>(const Packet2cf& a)
319{
320 float32x2_t a1, a2, v1, v2, prod;
321 std::complex<float> s;
322
323 a1 = vget_low_f32(a.v);
324 a2 = vget_high_f32(a.v);
325 // Get the real values of a | a1_re | a1_re | a2_re | a2_re |
326 v1 = vdup_lane_f32(a1, 0);
327 // Get the real values of a | a1_im | a1_im | a2_im | a2_im |
328 v2 = vdup_lane_f32(a1, 1);
329 // Multiply the real a with b
330 v1 = vmul_f32(v1, a2);
331 // Multiply the imag a with b
332 v2 = vmul_f32(v2, a2);
333 // Conjugate v2
334 v2 = vreinterpret_f32_u32(veor_u32(vreinterpret_u32_f32(v2), p2ui_CONJ_XOR()));
335 // Swap real/imag elements in v2.
336 v2 = vrev64_f32(v2);
337 // Add v1, v2
338 prod = vadd_f32(v1, v2);
339
340 vst1_f32(reinterpret_cast<float*>(&s), prod);
341
342 return s;
343}
344
345EIGEN_MAKE_CONJ_HELPER_CPLX_REAL(Packet1cf,Packet2f)
346EIGEN_MAKE_CONJ_HELPER_CPLX_REAL(Packet2cf,Packet4f)
347
348template<> EIGEN_STRONG_INLINE Packet1cf pdiv<Packet1cf>(const Packet1cf& a, const Packet1cf& b)
349{
350 return pdiv_complex(a, b);
351}
352template<> EIGEN_STRONG_INLINE Packet2cf pdiv<Packet2cf>(const Packet2cf& a, const Packet2cf& b)
353{
354 return pdiv_complex(a, b);
355}
356
357EIGEN_DEVICE_FUNC inline void ptranspose(PacketBlock<Packet1cf, 1>& /*kernel*/) {}
358EIGEN_DEVICE_FUNC inline void ptranspose(PacketBlock<Packet2cf, 2>& kernel)
359{
360 Packet4f tmp = vcombine_f32(vget_high_f32(kernel.packet[0].v), vget_high_f32(kernel.packet[1].v));
361 kernel.packet[0].v = vcombine_f32(vget_low_f32(kernel.packet[0].v), vget_low_f32(kernel.packet[1].v));
362 kernel.packet[1].v = tmp;
363}
364
365template<> EIGEN_STRONG_INLINE Packet1cf psqrt<Packet1cf>(const Packet1cf& a) {
366 return psqrt_complex<Packet1cf>(a);
367}
368
369template<> EIGEN_STRONG_INLINE Packet2cf psqrt<Packet2cf>(const Packet2cf& a) {
370 return psqrt_complex<Packet2cf>(a);
371}
372
373//---------- double ----------
374#if EIGEN_ARCH_ARM64 && !EIGEN_APPLE_DOUBLE_NEON_BUG
375
376inline uint64x2_t p2ul_CONJ_XOR() {
377 static const uint64_t p2ul_conj_XOR_DATA[] = {0x0, 0x8000000000000000};
378 return vld1q_u64(p2ul_conj_XOR_DATA);
379}
380
381struct Packet1cd
382{
383 EIGEN_STRONG_INLINE Packet1cd() {}
384 EIGEN_STRONG_INLINE explicit Packet1cd(const Packet2d& a) : v(a) {}
385 Packet2d v;
386};
387
388template<> struct packet_traits<std::complex<double> > : default_packet_traits
389{
390 typedef Packet1cd type;
391 typedef Packet1cd half;
392 enum
393 {
394 Vectorizable = 1,
395 AlignedOnScalar = 0,
396 size = 1,
397 HasHalfPacket = 0,
398
399 HasAdd = 1,
400 HasSub = 1,
401 HasMul = 1,
402 HasDiv = 1,
403 HasNegate = 1,
404 HasAbs = 0,
405 HasAbs2 = 0,
406 HasMin = 0,
407 HasMax = 0,
408 HasSetLinear = 0
409 };
410};
411
412template<> struct unpacket_traits<Packet1cd>
413{
414 typedef std::complex<double> type;
415 typedef Packet1cd half;
416 typedef Packet2d as_real;
417 enum
418 {
419 size=1,
420 alignment=Aligned16,
421 vectorizable=true,
422 masked_load_available=false,
423 masked_store_available=false
424 };
425};
426
427template<> EIGEN_STRONG_INLINE Packet1cd pload<Packet1cd>(const std::complex<double>* from)
428{ EIGEN_DEBUG_ALIGNED_LOAD return Packet1cd(pload<Packet2d>(reinterpret_cast<const double*>(from))); }
429
430template<> EIGEN_STRONG_INLINE Packet1cd ploadu<Packet1cd>(const std::complex<double>* from)
431{ EIGEN_DEBUG_UNALIGNED_LOAD return Packet1cd(ploadu<Packet2d>(reinterpret_cast<const double*>(from))); }
432
433template<> EIGEN_STRONG_INLINE Packet1cd pset1<Packet1cd>(const std::complex<double>& from)
434{
435 /* here we really have to use unaligned loads :( */
436 return ploadu<Packet1cd>(&from);
437}
438
439template<> EIGEN_STRONG_INLINE Packet1cd padd<Packet1cd>(const Packet1cd& a, const Packet1cd& b)
440{ return Packet1cd(padd<Packet2d>(a.v, b.v)); }
441
442template<> EIGEN_STRONG_INLINE Packet1cd psub<Packet1cd>(const Packet1cd& a, const Packet1cd& b)
443{ return Packet1cd(psub<Packet2d>(a.v, b.v)); }
444
445template<> EIGEN_STRONG_INLINE Packet1cd pnegate(const Packet1cd& a)
446{ return Packet1cd(pnegate<Packet2d>(a.v)); }
447
448template<> EIGEN_STRONG_INLINE Packet1cd pconj(const Packet1cd& a)
449{ return Packet1cd(vreinterpretq_f64_u64(veorq_u64(vreinterpretq_u64_f64(a.v), p2ul_CONJ_XOR()))); }
450
451template<> EIGEN_STRONG_INLINE Packet1cd pmul<Packet1cd>(const Packet1cd& a, const Packet1cd& b)
452{
453 Packet2d v1, v2;
454
455 // Get the real values of a
456 v1 = vdupq_lane_f64(vget_low_f64(a.v), 0);
457 // Get the imag values of a
458 v2 = vdupq_lane_f64(vget_high_f64(a.v), 0);
459 // Multiply the real a with b
460 v1 = vmulq_f64(v1, b.v);
461 // Multiply the imag a with b
462 v2 = vmulq_f64(v2, b.v);
463 // Conjugate v2
464 v2 = vreinterpretq_f64_u64(veorq_u64(vreinterpretq_u64_f64(v2), p2ul_CONJ_XOR()));
465 // Swap real/imag elements in v2.
466 v2 = preverse<Packet2d>(v2);
467 // Add and return the result
468 return Packet1cd(vaddq_f64(v1, v2));
469}
470
471template<> EIGEN_STRONG_INLINE Packet1cd pcmp_eq(const Packet1cd& a, const Packet1cd& b)
472{
473 // Compare real and imaginary parts of a and b to get the mask vector:
474 // [re(a)==re(b), im(a)==im(b)]
475 Packet2d eq = pcmp_eq<Packet2d>(a.v, b.v);
476 // Swap real/imag elements in the mask in to get:
477 // [im(a)==im(b), re(a)==re(b)]
478 Packet2d eq_swapped = vreinterpretq_f64_u32(vrev64q_u32(vreinterpretq_u32_f64(eq)));
479 // Return re(a)==re(b) & im(a)==im(b) by computing bitwise AND of eq and eq_swapped
480 return Packet1cd(pand<Packet2d>(eq, eq_swapped));
481}
482
483template<> EIGEN_STRONG_INLINE Packet1cd pand<Packet1cd>(const Packet1cd& a, const Packet1cd& b)
484{ return Packet1cd(vreinterpretq_f64_u64(vandq_u64(vreinterpretq_u64_f64(a.v),vreinterpretq_u64_f64(b.v)))); }
485
486template<> EIGEN_STRONG_INLINE Packet1cd por<Packet1cd>(const Packet1cd& a, const Packet1cd& b)
487{ return Packet1cd(vreinterpretq_f64_u64(vorrq_u64(vreinterpretq_u64_f64(a.v),vreinterpretq_u64_f64(b.v)))); }
488
489template<> EIGEN_STRONG_INLINE Packet1cd pxor<Packet1cd>(const Packet1cd& a, const Packet1cd& b)
490{ return Packet1cd(vreinterpretq_f64_u64(veorq_u64(vreinterpretq_u64_f64(a.v),vreinterpretq_u64_f64(b.v)))); }
491
492template<> EIGEN_STRONG_INLINE Packet1cd pandnot<Packet1cd>(const Packet1cd& a, const Packet1cd& b)
493{ return Packet1cd(vreinterpretq_f64_u64(vbicq_u64(vreinterpretq_u64_f64(a.v),vreinterpretq_u64_f64(b.v)))); }
494
495template<> EIGEN_STRONG_INLINE Packet1cd ploaddup<Packet1cd>(const std::complex<double>* from)
496{ return pset1<Packet1cd>(*from); }
497
498template<> EIGEN_STRONG_INLINE void pstore <std::complex<double> >(std::complex<double> *to, const Packet1cd& from)
499{ EIGEN_DEBUG_ALIGNED_STORE pstore(reinterpret_cast<double*>(to), from.v); }
500
501template<> EIGEN_STRONG_INLINE void pstoreu<std::complex<double> >(std::complex<double> *to, const Packet1cd& from)
502{ EIGEN_DEBUG_UNALIGNED_STORE pstoreu(reinterpret_cast<double*>(to), from.v); }
503
504template<> EIGEN_STRONG_INLINE void prefetch<std::complex<double> >(const std::complex<double> *addr)
505{ EIGEN_ARM_PREFETCH(reinterpret_cast<const double*>(addr)); }
506
507template<> EIGEN_DEVICE_FUNC inline Packet1cd pgather<std::complex<double>, Packet1cd>(
508 const std::complex<double>* from, Index stride)
509{
510 Packet2d res = pset1<Packet2d>(0.0);
511 res = vsetq_lane_f64(std::real(from[0*stride]), res, 0);
512 res = vsetq_lane_f64(std::imag(from[0*stride]), res, 1);
513 return Packet1cd(res);
514}
515
516template<> EIGEN_DEVICE_FUNC inline void pscatter<std::complex<double>, Packet1cd>(
517 std::complex<double>* to, const Packet1cd& from, Index stride)
518{ to[stride*0] = std::complex<double>(vgetq_lane_f64(from.v, 0), vgetq_lane_f64(from.v, 1)); }
519
520template<> EIGEN_STRONG_INLINE std::complex<double> pfirst<Packet1cd>(const Packet1cd& a)
521{
522 EIGEN_ALIGN16 std::complex<double> res;
523 pstore<std::complex<double> >(&res, a);
524 return res;
525}
526
527template<> EIGEN_STRONG_INLINE Packet1cd preverse(const Packet1cd& a) { return a; }
528
529template<> EIGEN_STRONG_INLINE std::complex<double> predux<Packet1cd>(const Packet1cd& a) { return pfirst(a); }
530
531template<> EIGEN_STRONG_INLINE std::complex<double> predux_mul<Packet1cd>(const Packet1cd& a) { return pfirst(a); }
532
533EIGEN_MAKE_CONJ_HELPER_CPLX_REAL(Packet1cd,Packet2d)
534
535template<> EIGEN_STRONG_INLINE Packet1cd pdiv<Packet1cd>(const Packet1cd& a, const Packet1cd& b)
536{
537 return pdiv_complex(a, b);
538}
539
540EIGEN_STRONG_INLINE Packet1cd pcplxflip/*<Packet1cd>*/(const Packet1cd& x)
541{ return Packet1cd(preverse(Packet2d(x.v))); }
542
543EIGEN_STRONG_INLINE void ptranspose(PacketBlock<Packet1cd,2>& kernel)
544{
545 Packet2d tmp = vcombine_f64(vget_high_f64(kernel.packet[0].v), vget_high_f64(kernel.packet[1].v));
546 kernel.packet[0].v = vcombine_f64(vget_low_f64(kernel.packet[0].v), vget_low_f64(kernel.packet[1].v));
547 kernel.packet[1].v = tmp;
548}
549
550template<> EIGEN_STRONG_INLINE Packet1cd psqrt<Packet1cd>(const Packet1cd& a) {
551 return psqrt_complex<Packet1cd>(a);
552}
553
554#endif // EIGEN_ARCH_ARM64
555
556} // end namespace internal
557
558} // end namespace Eigen
559
560#endif // EIGEN_COMPLEX_NEON_H
Eigen::MatrixBase
Base class for all dense matrices, vectors, and expressions.
Definition MatrixBase.h:50
Eigen::Aligned16
@ Aligned16
Data pointer is aligned on a 16 bytes boundary.
Definition Constants.h:235
Eigen
Namespace containing all symbols from the Eigen library.
Definition LDLT.h:16
Eigen::Index
EIGEN_DEFAULT_DENSE_INDEX_TYPE Index
The Index type as used for the API.
Definition Meta.h:74
std
Definition BFloat16.h:88
Eigen::half
Definition Half.h:140
Eigen::internal::Packet1cf
Definition Complex.h:39
Eigen::internal::Packet2cf
Definition Complex.h:33
Eigen::internal::unpacket_traits
Definition GenericPacketMath.h:133
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