11#ifndef EIGEN_COMPLEX_AVX512_H
12#define EIGEN_COMPLEX_AVX512_H
15#include "../../InternalHeaderCheck.h"
21EIGEN_GCC_FAST_MATH_COMPLEX_VECTORIZE_WORKAROUND_PUSH
25 EIGEN_STRONG_INLINE Packet8cf() {}
26 EIGEN_STRONG_INLINE
explicit Packet8cf(
const __m512& a) : v(a) {}
31struct packet_traits<std::complex<float> > : default_packet_traits {
32 typedef Packet8cf type;
33 typedef Packet4cf half;
56struct unpacket_traits<Packet8cf> {
57 typedef std::complex<float> type;
58 typedef Packet4cf half;
59 typedef Packet16f as_real;
62 alignment = unpacket_traits<Packet16f>::alignment,
64 masked_load_available =
false,
65 masked_store_available =
false
70EIGEN_STRONG_INLINE Packet8cf ptrue<Packet8cf>(
const Packet8cf& a) {
71 return Packet8cf(ptrue(Packet16f(a.v)));
74EIGEN_STRONG_INLINE Packet8cf padd<Packet8cf>(
const Packet8cf& a,
const Packet8cf& b) {
75 return Packet8cf(_mm512_add_ps(a.v, b.v));
78EIGEN_STRONG_INLINE Packet8cf psub<Packet8cf>(
const Packet8cf& a,
const Packet8cf& b) {
79 return Packet8cf(_mm512_sub_ps(a.v, b.v));
82EIGEN_STRONG_INLINE Packet8cf pnegate(
const Packet8cf& a) {
83 return Packet8cf(pnegate(a.v));
86EIGEN_STRONG_INLINE Packet8cf pconj(
const Packet8cf& a) {
87 const __m512 mask = _mm512_castsi512_ps(_mm512_setr_epi32(
88 0x00000000, SIGN_MASK_I32, 0x00000000, SIGN_MASK_I32, 0x00000000, SIGN_MASK_I32, 0x00000000, SIGN_MASK_I32,
89 0x00000000, SIGN_MASK_I32, 0x00000000, SIGN_MASK_I32, 0x00000000, SIGN_MASK_I32, 0x00000000, SIGN_MASK_I32));
90 return Packet8cf(pxor(a.v, mask));
94EIGEN_STRONG_INLINE Packet8cf pmul<Packet8cf>(
const Packet8cf& a,
const Packet8cf& b) {
95 __m512 tmp2 = _mm512_mul_ps(_mm512_movehdup_ps(a.v), _mm512_permute_ps(b.v, _MM_SHUFFLE(2, 3, 0, 1)));
96 return Packet8cf(_mm512_fmaddsub_ps(_mm512_moveldup_ps(a.v), b.v, tmp2));
100EIGEN_STRONG_INLINE Packet8cf pand<Packet8cf>(
const Packet8cf& a,
const Packet8cf& b) {
101 return Packet8cf(pand(a.v, b.v));
104EIGEN_STRONG_INLINE Packet8cf por<Packet8cf>(
const Packet8cf& a,
const Packet8cf& b) {
105 return Packet8cf(por(a.v, b.v));
108EIGEN_STRONG_INLINE Packet8cf pxor<Packet8cf>(
const Packet8cf& a,
const Packet8cf& b) {
109 return Packet8cf(pxor(a.v, b.v));
112EIGEN_STRONG_INLINE Packet8cf pandnot<Packet8cf>(
const Packet8cf& a,
const Packet8cf& b) {
113 return Packet8cf(pandnot(a.v, b.v));
117EIGEN_STRONG_INLINE Packet8cf pcmp_eq(
const Packet8cf& a,
const Packet8cf& b) {
118 __m512 eq = pcmp_eq<Packet16f>(a.v, b.v);
119 return Packet8cf(pand(eq, _mm512_permute_ps(eq, 0xB1)));
123EIGEN_STRONG_INLINE Packet8cf pload<Packet8cf>(
const std::complex<float>* from) {
124 EIGEN_DEBUG_ALIGNED_LOAD
return Packet8cf(pload<Packet16f>(&numext::real_ref(*from)));
127EIGEN_STRONG_INLINE Packet8cf ploadu<Packet8cf>(
const std::complex<float>* from) {
128 EIGEN_DEBUG_UNALIGNED_LOAD
return Packet8cf(ploadu<Packet16f>(&numext::real_ref(*from)));
132EIGEN_STRONG_INLINE Packet8cf pset1<Packet8cf>(
const std::complex<float>& from) {
133 const float re = std::real(from);
134 const float im = std::imag(from);
135 return Packet8cf(_mm512_set_ps(im, re, im, re, im, re, im, re, im, re, im, re, im, re, im, re));
139EIGEN_STRONG_INLINE Packet8cf ploaddup<Packet8cf>(
const std::complex<float>* from) {
140 return Packet8cf(_mm512_castpd_ps(ploaddup<Packet8d>((
const double*)(
const void*)from)));
143EIGEN_STRONG_INLINE Packet8cf ploadquad<Packet8cf>(
const std::complex<float>* from) {
144 return Packet8cf(_mm512_castpd_ps(ploadquad<Packet8d>((
const double*)(
const void*)from)));
148EIGEN_STRONG_INLINE
void pstore<std::complex<float> >(std::complex<float>* to,
const Packet8cf& from) {
149 EIGEN_DEBUG_ALIGNED_STORE pstore(&numext::real_ref(*to), from.v);
152EIGEN_STRONG_INLINE
void pstoreu<std::complex<float> >(std::complex<float>* to,
const Packet8cf& from) {
153 EIGEN_DEBUG_UNALIGNED_STORE pstoreu(&numext::real_ref(*to), from.v);
157EIGEN_DEVICE_FUNC
inline Packet8cf pgather<std::complex<float>, Packet8cf>(
const std::complex<float>* from,
159 return Packet8cf(_mm512_castpd_ps(pgather<double, Packet8d>((
const double*)(
const void*)from, stride)));
163EIGEN_DEVICE_FUNC
inline void pscatter<std::complex<float>, Packet8cf>(std::complex<float>* to,
const Packet8cf& from,
165 pscatter((
double*)(
void*)to, _mm512_castps_pd(from.v), stride);
169EIGEN_STRONG_INLINE std::complex<float> pfirst<Packet8cf>(
const Packet8cf& a) {
170 return pfirst(Packet2cf(_mm512_castps512_ps128(a.v)));
174EIGEN_STRONG_INLINE Packet8cf preverse(
const Packet8cf& a) {
175 return Packet8cf(_mm512_castsi512_ps(_mm512_permutexvar_epi64(
176 _mm512_set_epi32(0, 0, 0, 1, 0, 2, 0, 3, 0, 4, 0, 5, 0, 6, 0, 7), _mm512_castps_si512(a.v))));
180EIGEN_STRONG_INLINE std::complex<float> predux<Packet8cf>(
const Packet8cf& a) {
181 return predux(padd(Packet4cf(extract256<0>(a.v)), Packet4cf(extract256<1>(a.v))));
185EIGEN_STRONG_INLINE std::complex<float> predux_mul<Packet8cf>(
const Packet8cf& a) {
186 return predux_mul(pmul(Packet4cf(extract256<0>(a.v)), Packet4cf(extract256<1>(a.v))));
190EIGEN_STRONG_INLINE Packet4cf predux_half<Packet8cf>(
const Packet8cf& a) {
191 __m256 lane0 = extract256<0>(a.v);
192 __m256 lane1 = extract256<1>(a.v);
193 __m256 res = _mm256_add_ps(lane0, lane1);
194 return Packet4cf(res);
197EIGEN_MAKE_CONJ_HELPER_CPLX_REAL(Packet8cf, Packet16f)
200EIGEN_STRONG_INLINE Packet8cf pdiv<Packet8cf>(
const Packet8cf& a,
const Packet8cf& b) {
201 return pdiv_complex(a, b);
205EIGEN_STRONG_INLINE Packet8cf pcplxflip<Packet8cf>(
const Packet8cf& x) {
206 return Packet8cf(EIGEN_AVX512_SHUFFLE_PS(x.v, x.v, _MM_SHUFFLE(2, 3, 0, 1)));
211 EIGEN_STRONG_INLINE Packet4cd() {}
212 EIGEN_STRONG_INLINE
explicit Packet4cd(
const __m512d& a) : v(a) {}
217struct packet_traits<std::complex<double> > : default_packet_traits {
218 typedef Packet4cd type;
219 typedef Packet2cd half;
242struct unpacket_traits<Packet4cd> {
243 typedef std::complex<double> type;
244 typedef Packet2cd half;
245 typedef Packet8d as_real;
248 alignment = unpacket_traits<Packet8d>::alignment,
250 masked_load_available =
false,
251 masked_store_available =
false
256EIGEN_STRONG_INLINE Packet4cd padd<Packet4cd>(
const Packet4cd& a,
const Packet4cd& b) {
257 return Packet4cd(_mm512_add_pd(a.v, b.v));
260EIGEN_STRONG_INLINE Packet4cd psub<Packet4cd>(
const Packet4cd& a,
const Packet4cd& b) {
261 return Packet4cd(_mm512_sub_pd(a.v, b.v));
264EIGEN_STRONG_INLINE Packet4cd pnegate(
const Packet4cd& a) {
265 return Packet4cd(pnegate(a.v));
268EIGEN_STRONG_INLINE Packet4cd pconj(
const Packet4cd& a) {
270 _mm512_castsi512_pd(_mm512_set_epi32(SIGN_MASK_I32, 0x0, 0x0, 0x0, SIGN_MASK_I32, 0x0, 0x0, 0x0, SIGN_MASK_I32,
271 0x0, 0x0, 0x0, SIGN_MASK_I32, 0x0, 0x0, 0x0));
272 return Packet4cd(pxor(a.v, mask));
276EIGEN_STRONG_INLINE Packet4cd pmul<Packet4cd>(
const Packet4cd& a,
const Packet4cd& b) {
277 __m512d tmp1 = _mm512_shuffle_pd(a.v, a.v, 0x0);
278 __m512d tmp2 = _mm512_shuffle_pd(a.v, a.v, 0xFF);
279 __m512d tmp3 = _mm512_shuffle_pd(b.v, b.v, 0x55);
280 __m512d odd = _mm512_mul_pd(tmp2, tmp3);
281 return Packet4cd(_mm512_fmaddsub_pd(tmp1, b.v, odd));
285EIGEN_STRONG_INLINE Packet4cd ptrue<Packet4cd>(
const Packet4cd& a) {
286 return Packet4cd(ptrue(Packet8d(a.v)));
289EIGEN_STRONG_INLINE Packet4cd pand<Packet4cd>(
const Packet4cd& a,
const Packet4cd& b) {
290 return Packet4cd(pand(a.v, b.v));
293EIGEN_STRONG_INLINE Packet4cd por<Packet4cd>(
const Packet4cd& a,
const Packet4cd& b) {
294 return Packet4cd(por(a.v, b.v));
297EIGEN_STRONG_INLINE Packet4cd pxor<Packet4cd>(
const Packet4cd& a,
const Packet4cd& b) {
298 return Packet4cd(pxor(a.v, b.v));
301EIGEN_STRONG_INLINE Packet4cd pandnot<Packet4cd>(
const Packet4cd& a,
const Packet4cd& b) {
302 return Packet4cd(pandnot(a.v, b.v));
306EIGEN_STRONG_INLINE Packet4cd pcmp_eq(
const Packet4cd& a,
const Packet4cd& b) {
307 __m512d eq = pcmp_eq<Packet8d>(a.v, b.v);
308 return Packet4cd(pand(eq, _mm512_permute_pd(eq, 0x55)));
312EIGEN_STRONG_INLINE Packet4cd pload<Packet4cd>(
const std::complex<double>* from) {
313 EIGEN_DEBUG_ALIGNED_LOAD
return Packet4cd(pload<Packet8d>((
const double*)from));
316EIGEN_STRONG_INLINE Packet4cd ploadu<Packet4cd>(
const std::complex<double>* from) {
317 EIGEN_DEBUG_UNALIGNED_LOAD
return Packet4cd(ploadu<Packet8d>((
const double*)from));
321EIGEN_STRONG_INLINE Packet4cd pset1<Packet4cd>(
const std::complex<double>& from) {
322 return Packet4cd(_mm512_castps_pd(_mm512_broadcast_f32x4(_mm_castpd_ps(pset1<Packet1cd>(from).v))));
326EIGEN_STRONG_INLINE Packet4cd ploaddup<Packet4cd>(
const std::complex<double>* from) {
328 _mm512_insertf64x4(_mm512_castpd256_pd512(ploaddup<Packet2cd>(from).v), ploaddup<Packet2cd>(from + 1).v, 1));
332EIGEN_STRONG_INLINE
void pstore<std::complex<double> >(std::complex<double>* to,
const Packet4cd& from) {
333 EIGEN_DEBUG_ALIGNED_STORE pstore((
double*)to, from.v);
336EIGEN_STRONG_INLINE
void pstoreu<std::complex<double> >(std::complex<double>* to,
const Packet4cd& from) {
337 EIGEN_DEBUG_UNALIGNED_STORE pstoreu((
double*)to, from.v);
341EIGEN_DEVICE_FUNC
inline Packet4cd pgather<std::complex<double>, Packet4cd>(
const std::complex<double>* from,
343 return Packet4cd(_mm512_insertf64x4(
344 _mm512_castpd256_pd512(_mm256_insertf128_pd(_mm256_castpd128_pd256(ploadu<Packet1cd>(from + 0 * stride).v),
345 ploadu<Packet1cd>(from + 1 * stride).v, 1)),
346 _mm256_insertf128_pd(_mm256_castpd128_pd256(ploadu<Packet1cd>(from + 2 * stride).v),
347 ploadu<Packet1cd>(from + 3 * stride).v, 1),
352EIGEN_DEVICE_FUNC
inline void pscatter<std::complex<double>, Packet4cd>(std::complex<double>* to,
const Packet4cd& from,
354 __m512i fromi = _mm512_castpd_si512(from.v);
355 double* tod = (
double*)(
void*)to;
356 _mm_storeu_pd(tod + 0 * stride, _mm_castsi128_pd(_mm512_extracti32x4_epi32(fromi, 0)));
357 _mm_storeu_pd(tod + 2 * stride, _mm_castsi128_pd(_mm512_extracti32x4_epi32(fromi, 1)));
358 _mm_storeu_pd(tod + 4 * stride, _mm_castsi128_pd(_mm512_extracti32x4_epi32(fromi, 2)));
359 _mm_storeu_pd(tod + 6 * stride, _mm_castsi128_pd(_mm512_extracti32x4_epi32(fromi, 3)));
363EIGEN_STRONG_INLINE std::complex<double> pfirst<Packet4cd>(
const Packet4cd& a) {
364 __m128d low = extract128<0>(a.v);
365 EIGEN_ALIGN16
double res[2];
366 _mm_store_pd(res, low);
367 return std::complex<double>(res[0], res[1]);
371EIGEN_STRONG_INLINE Packet4cd preverse(
const Packet4cd& a) {
372 return Packet4cd(_mm512_shuffle_f64x2(a.v, a.v, (shuffle_mask<3, 2, 1, 0>::mask)));
376EIGEN_STRONG_INLINE std::complex<double> predux<Packet4cd>(
const Packet4cd& a) {
377 return predux(padd(Packet2cd(_mm512_extractf64x4_pd(a.v, 0)), Packet2cd(_mm512_extractf64x4_pd(a.v, 1))));
381EIGEN_STRONG_INLINE std::complex<double> predux_mul<Packet4cd>(
const Packet4cd& a) {
382 return predux_mul(pmul(Packet2cd(_mm512_extractf64x4_pd(a.v, 0)), Packet2cd(_mm512_extractf64x4_pd(a.v, 1))));
385EIGEN_MAKE_CONJ_HELPER_CPLX_REAL(Packet4cd, Packet8d)
388EIGEN_STRONG_INLINE Packet4cd pdiv<Packet4cd>(
const Packet4cd& a,
const Packet4cd& b) {
389 return pdiv_complex(a, b);
393EIGEN_STRONG_INLINE Packet4cd pcplxflip<Packet4cd>(
const Packet4cd& x) {
394 return Packet4cd(_mm512_permute_pd(x.v, 0x55));
397EIGEN_DEVICE_FUNC
inline void ptranspose(PacketBlock<Packet8cf, 4>& kernel) {
398 PacketBlock<Packet8d, 4> pb;
400 pb.packet[0] = _mm512_castps_pd(kernel.packet[0].v);
401 pb.packet[1] = _mm512_castps_pd(kernel.packet[1].v);
402 pb.packet[2] = _mm512_castps_pd(kernel.packet[2].v);
403 pb.packet[3] = _mm512_castps_pd(kernel.packet[3].v);
405 kernel.packet[0].v = _mm512_castpd_ps(pb.packet[0]);
406 kernel.packet[1].v = _mm512_castpd_ps(pb.packet[1]);
407 kernel.packet[2].v = _mm512_castpd_ps(pb.packet[2]);
408 kernel.packet[3].v = _mm512_castpd_ps(pb.packet[3]);
411EIGEN_DEVICE_FUNC
inline void ptranspose(PacketBlock<Packet8cf, 8>& kernel) {
412 PacketBlock<Packet8d, 8> pb;
414 pb.packet[0] = _mm512_castps_pd(kernel.packet[0].v);
415 pb.packet[1] = _mm512_castps_pd(kernel.packet[1].v);
416 pb.packet[2] = _mm512_castps_pd(kernel.packet[2].v);
417 pb.packet[3] = _mm512_castps_pd(kernel.packet[3].v);
418 pb.packet[4] = _mm512_castps_pd(kernel.packet[4].v);
419 pb.packet[5] = _mm512_castps_pd(kernel.packet[5].v);
420 pb.packet[6] = _mm512_castps_pd(kernel.packet[6].v);
421 pb.packet[7] = _mm512_castps_pd(kernel.packet[7].v);
423 kernel.packet[0].v = _mm512_castpd_ps(pb.packet[0]);
424 kernel.packet[1].v = _mm512_castpd_ps(pb.packet[1]);
425 kernel.packet[2].v = _mm512_castpd_ps(pb.packet[2]);
426 kernel.packet[3].v = _mm512_castpd_ps(pb.packet[3]);
427 kernel.packet[4].v = _mm512_castpd_ps(pb.packet[4]);
428 kernel.packet[5].v = _mm512_castpd_ps(pb.packet[5]);
429 kernel.packet[6].v = _mm512_castpd_ps(pb.packet[6]);
430 kernel.packet[7].v = _mm512_castpd_ps(pb.packet[7]);
433EIGEN_DEVICE_FUNC
inline void ptranspose(PacketBlock<Packet4cd, 4>& kernel) {
435 _mm512_shuffle_f64x2(kernel.packet[0].v, kernel.packet[1].v, (shuffle_mask<0, 1, 0, 1>::mask));
437 _mm512_shuffle_f64x2(kernel.packet[0].v, kernel.packet[1].v, (shuffle_mask<2, 3, 2, 3>::mask));
439 _mm512_shuffle_f64x2(kernel.packet[2].v, kernel.packet[3].v, (shuffle_mask<0, 1, 0, 1>::mask));
441 _mm512_shuffle_f64x2(kernel.packet[2].v, kernel.packet[3].v, (shuffle_mask<2, 3, 2, 3>::mask));
443 kernel.packet[3] = Packet4cd(_mm512_shuffle_f64x2(T1, T3, (shuffle_mask<1, 3, 1, 3>::mask)));
444 kernel.packet[2] = Packet4cd(_mm512_shuffle_f64x2(T1, T3, (shuffle_mask<0, 2, 0, 2>::mask)));
445 kernel.packet[1] = Packet4cd(_mm512_shuffle_f64x2(T0, T2, (shuffle_mask<1, 3, 1, 3>::mask)));
446 kernel.packet[0] = Packet4cd(_mm512_shuffle_f64x2(T0, T2, (shuffle_mask<0, 2, 0, 2>::mask)));
449EIGEN_INSTANTIATE_COMPLEX_MATH_FUNCS(Packet4cd)
450EIGEN_INSTANTIATE_COMPLEX_MATH_FUNCS(Packet8cf)
459struct has_packet_segment<Packet8cf> : std::true_type {};
462inline Packet8cf ploaduSegment<Packet8cf>(
const std::complex<float>* from, Index begin, Index count) {
464 _mm512_maskz_loadu_ps(
static_cast<__mmask16
>(segment_kmask(2 * begin, 2 * count)), &numext::real_ref(*from)));
468inline void pstoreuSegment<std::complex<float>, Packet8cf>(std::complex<float>* to,
const Packet8cf& from, Index begin,
470 _mm512_mask_storeu_ps(&numext::real_ref(*to),
static_cast<__mmask16
>(segment_kmask(2 * begin, 2 * count)), from.v);
476struct has_packet_segment<Packet4cd> : std::true_type {};
479inline Packet4cd ploaduSegment<Packet4cd>(
const std::complex<double>* from, Index begin, Index count) {
481 _mm512_maskz_loadu_pd(
static_cast<__mmask8
>(segment_kmask(2 * begin, 2 * count)), &numext::real_ref(*from)));
485inline void pstoreuSegment<std::complex<double>, Packet4cd>(std::complex<double>* to,
const Packet4cd& from,
486 Index begin, Index count) {
487 _mm512_mask_storeu_pd(&numext::real_ref(*to),
static_cast<__mmask8
>(segment_kmask(2 * begin, 2 * count)), from.v);
490#ifdef EIGEN_VECTORIZE_AVX512VL
495inline Packet4cf ploaduSegment<Packet4cf>(
const std::complex<float>* from, Index begin, Index count) {
497 _mm256_maskz_loadu_ps(
static_cast<__mmask8
>(segment_kmask(2 * begin, 2 * count)), &numext::real_ref(*from)));
501inline void pstoreuSegment<std::complex<float>, Packet4cf>(std::complex<float>* to,
const Packet4cf& from, Index begin,
503 _mm256_mask_storeu_ps(&numext::real_ref(*to),
static_cast<__mmask8
>(segment_kmask(2 * begin, 2 * count)), from.v);
507inline Packet2cf ploaduSegment<Packet2cf>(
const std::complex<float>* from, Index begin, Index count) {
509 _mm_maskz_loadu_ps(
static_cast<__mmask8
>(segment_kmask(2 * begin, 2 * count)), &numext::real_ref(*from)));
513inline void pstoreuSegment<std::complex<float>, Packet2cf>(std::complex<float>* to,
const Packet2cf& from, Index begin,
515 _mm_mask_storeu_ps(&numext::real_ref(*to),
static_cast<__mmask8
>(segment_kmask(2 * begin, 2 * count)), from.v);
519inline Packet2cd ploaduSegment<Packet2cd>(
const std::complex<double>* from, Index begin, Index count) {
521 _mm256_maskz_loadu_pd(
static_cast<__mmask8
>(segment_kmask(2 * begin, 2 * count)), &numext::real_ref(*from)));
525inline void pstoreuSegment<std::complex<double>, Packet2cd>(std::complex<double>* to,
const Packet2cd& from,
526 Index begin, Index count) {
527 _mm256_mask_storeu_pd(&numext::real_ref(*to),
static_cast<__mmask8
>(segment_kmask(2 * begin, 2 * count)), from.v);
534EIGEN_GCC_FAST_MATH_COMPLEX_VECTORIZE_WORKAROUND_POP