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467 lines
17 KiB
C++
467 lines
17 KiB
C++
// This file is part of Eigen, a lightweight C++ template library
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// for linear algebra.
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//
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// Copyright (C) 2010 Gael Guennebaud <gael.guennebaud@inria.fr>
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//
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// This Source Code Form is subject to the terms of the Mozilla
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// Public License v. 2.0. If a copy of the MPL was not distributed
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// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
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#ifndef EIGEN_COMPLEX_NEON_H
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#define EIGEN_COMPLEX_NEON_H
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namespace Eigen {
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namespace internal {
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static uint32x4_t p4ui_CONJ_XOR = EIGEN_INIT_NEON_PACKET4(0x00000000, 0x80000000, 0x00000000, 0x80000000);
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static uint32x2_t p2ui_CONJ_XOR = EIGEN_INIT_NEON_PACKET2(0x00000000, 0x80000000);
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//---------- float ----------
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struct Packet2cf
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{
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EIGEN_STRONG_INLINE Packet2cf() {}
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EIGEN_STRONG_INLINE explicit Packet2cf(const Packet4f& a) : v(a) {}
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Packet4f v;
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};
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template<> struct packet_traits<std::complex<float> > : default_packet_traits
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{
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typedef Packet2cf type;
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typedef Packet2cf half;
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enum {
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Vectorizable = 1,
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AlignedOnScalar = 1,
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size = 2,
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HasHalfPacket = 0,
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HasAdd = 1,
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HasSub = 1,
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HasMul = 1,
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HasDiv = 1,
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HasNegate = 1,
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HasAbs = 0,
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HasAbs2 = 0,
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HasMin = 0,
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HasMax = 0,
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HasSetLinear = 0
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};
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};
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template<> struct unpacket_traits<Packet2cf> { typedef std::complex<float> type; enum {size=2, alignment=Aligned16}; typedef Packet2cf half; };
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template<> EIGEN_STRONG_INLINE Packet2cf pset1<Packet2cf>(const std::complex<float>& from)
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{
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float32x2_t r64;
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r64 = vld1_f32((float *)&from);
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return Packet2cf(vcombine_f32(r64, r64));
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}
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template<> EIGEN_STRONG_INLINE Packet2cf padd<Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(padd<Packet4f>(a.v,b.v)); }
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template<> EIGEN_STRONG_INLINE Packet2cf psub<Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(psub<Packet4f>(a.v,b.v)); }
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template<> EIGEN_STRONG_INLINE Packet2cf pnegate(const Packet2cf& a) { return Packet2cf(pnegate<Packet4f>(a.v)); }
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template<> EIGEN_STRONG_INLINE Packet2cf pconj(const Packet2cf& a)
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{
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Packet4ui b = vreinterpretq_u32_f32(a.v);
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return Packet2cf(vreinterpretq_f32_u32(veorq_u32(b, p4ui_CONJ_XOR)));
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}
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template<> EIGEN_STRONG_INLINE Packet2cf pmul<Packet2cf>(const Packet2cf& a, const Packet2cf& b)
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{
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Packet4f v1, v2;
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// Get the real values of a | a1_re | a1_re | a2_re | a2_re |
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v1 = vcombine_f32(vdup_lane_f32(vget_low_f32(a.v), 0), vdup_lane_f32(vget_high_f32(a.v), 0));
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// Get the imag values of a | a1_im | a1_im | a2_im | a2_im |
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v2 = vcombine_f32(vdup_lane_f32(vget_low_f32(a.v), 1), vdup_lane_f32(vget_high_f32(a.v), 1));
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// Multiply the real a with b
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v1 = vmulq_f32(v1, b.v);
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// Multiply the imag a with b
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v2 = vmulq_f32(v2, b.v);
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// Conjugate v2
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v2 = vreinterpretq_f32_u32(veorq_u32(vreinterpretq_u32_f32(v2), p4ui_CONJ_XOR));
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// Swap real/imag elements in v2.
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v2 = vrev64q_f32(v2);
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// Add and return the result
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return Packet2cf(vaddq_f32(v1, v2));
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}
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template<> EIGEN_STRONG_INLINE Packet2cf pand <Packet2cf>(const Packet2cf& a, const Packet2cf& b)
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{
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return Packet2cf(vreinterpretq_f32_u32(vandq_u32(vreinterpretq_u32_f32(a.v),vreinterpretq_u32_f32(b.v))));
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}
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template<> EIGEN_STRONG_INLINE Packet2cf por <Packet2cf>(const Packet2cf& a, const Packet2cf& b)
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{
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return Packet2cf(vreinterpretq_f32_u32(vorrq_u32(vreinterpretq_u32_f32(a.v),vreinterpretq_u32_f32(b.v))));
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}
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template<> EIGEN_STRONG_INLINE Packet2cf pxor <Packet2cf>(const Packet2cf& a, const Packet2cf& b)
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{
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return Packet2cf(vreinterpretq_f32_u32(veorq_u32(vreinterpretq_u32_f32(a.v),vreinterpretq_u32_f32(b.v))));
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}
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template<> EIGEN_STRONG_INLINE Packet2cf pandnot<Packet2cf>(const Packet2cf& a, const Packet2cf& b)
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{
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return Packet2cf(vreinterpretq_f32_u32(vbicq_u32(vreinterpretq_u32_f32(a.v),vreinterpretq_u32_f32(b.v))));
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}
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template<> EIGEN_STRONG_INLINE Packet2cf pload<Packet2cf>(const std::complex<float>* from) { EIGEN_DEBUG_ALIGNED_LOAD return Packet2cf(pload<Packet4f>((const float*)from)); }
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template<> EIGEN_STRONG_INLINE Packet2cf ploadu<Packet2cf>(const std::complex<float>* from) { EIGEN_DEBUG_UNALIGNED_LOAD return Packet2cf(ploadu<Packet4f>((const float*)from)); }
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template<> EIGEN_STRONG_INLINE Packet2cf ploaddup<Packet2cf>(const std::complex<float>* from) { return pset1<Packet2cf>(*from); }
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template<> EIGEN_STRONG_INLINE void pstore <std::complex<float> >(std::complex<float> * to, const Packet2cf& from) { EIGEN_DEBUG_ALIGNED_STORE pstore((float*)to, from.v); }
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template<> EIGEN_STRONG_INLINE void pstoreu<std::complex<float> >(std::complex<float> * to, const Packet2cf& from) { EIGEN_DEBUG_UNALIGNED_STORE pstoreu((float*)to, from.v); }
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template<> EIGEN_DEVICE_FUNC inline Packet2cf pgather<std::complex<float>, Packet2cf>(const std::complex<float>* from, Index stride)
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{
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Packet4f res = pset1<Packet4f>(0.f);
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res = vsetq_lane_f32(std::real(from[0*stride]), res, 0);
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res = vsetq_lane_f32(std::imag(from[0*stride]), res, 1);
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res = vsetq_lane_f32(std::real(from[1*stride]), res, 2);
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res = vsetq_lane_f32(std::imag(from[1*stride]), res, 3);
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return Packet2cf(res);
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}
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template<> EIGEN_DEVICE_FUNC inline void pscatter<std::complex<float>, Packet2cf>(std::complex<float>* to, const Packet2cf& from, Index stride)
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{
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to[stride*0] = std::complex<float>(vgetq_lane_f32(from.v, 0), vgetq_lane_f32(from.v, 1));
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to[stride*1] = std::complex<float>(vgetq_lane_f32(from.v, 2), vgetq_lane_f32(from.v, 3));
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}
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template<> EIGEN_STRONG_INLINE void prefetch<std::complex<float> >(const std::complex<float> * addr) { EIGEN_ARM_PREFETCH((float *)addr); }
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template<> EIGEN_STRONG_INLINE std::complex<float> pfirst<Packet2cf>(const Packet2cf& a)
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{
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std::complex<float> EIGEN_ALIGN16 x[2];
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vst1q_f32((float *)x, a.v);
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return x[0];
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}
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template<> EIGEN_STRONG_INLINE Packet2cf preverse(const Packet2cf& a)
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{
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float32x2_t a_lo, a_hi;
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Packet4f a_r128;
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a_lo = vget_low_f32(a.v);
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a_hi = vget_high_f32(a.v);
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a_r128 = vcombine_f32(a_hi, a_lo);
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return Packet2cf(a_r128);
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}
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template<> EIGEN_STRONG_INLINE Packet2cf pcplxflip<Packet2cf>(const Packet2cf& a)
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{
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return Packet2cf(vrev64q_f32(a.v));
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}
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template<> EIGEN_STRONG_INLINE std::complex<float> predux<Packet2cf>(const Packet2cf& a)
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{
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float32x2_t a1, a2;
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std::complex<float> s;
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a1 = vget_low_f32(a.v);
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a2 = vget_high_f32(a.v);
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a2 = vadd_f32(a1, a2);
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vst1_f32((float *)&s, a2);
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return s;
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}
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template<> EIGEN_STRONG_INLINE Packet2cf preduxp<Packet2cf>(const Packet2cf* vecs)
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{
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Packet4f sum1, sum2, sum;
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// Add the first two 64-bit float32x2_t of vecs[0]
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sum1 = vcombine_f32(vget_low_f32(vecs[0].v), vget_low_f32(vecs[1].v));
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sum2 = vcombine_f32(vget_high_f32(vecs[0].v), vget_high_f32(vecs[1].v));
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sum = vaddq_f32(sum1, sum2);
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return Packet2cf(sum);
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}
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template<> EIGEN_STRONG_INLINE std::complex<float> predux_mul<Packet2cf>(const Packet2cf& a)
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{
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float32x2_t a1, a2, v1, v2, prod;
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std::complex<float> s;
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a1 = vget_low_f32(a.v);
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a2 = vget_high_f32(a.v);
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// Get the real values of a | a1_re | a1_re | a2_re | a2_re |
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v1 = vdup_lane_f32(a1, 0);
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// Get the real values of a | a1_im | a1_im | a2_im | a2_im |
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v2 = vdup_lane_f32(a1, 1);
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// Multiply the real a with b
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v1 = vmul_f32(v1, a2);
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// Multiply the imag a with b
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v2 = vmul_f32(v2, a2);
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// Conjugate v2
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v2 = vreinterpret_f32_u32(veor_u32(vreinterpret_u32_f32(v2), p2ui_CONJ_XOR));
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// Swap real/imag elements in v2.
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v2 = vrev64_f32(v2);
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// Add v1, v2
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prod = vadd_f32(v1, v2);
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vst1_f32((float *)&s, prod);
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return s;
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}
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template<int Offset>
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struct palign_impl<Offset,Packet2cf>
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{
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EIGEN_STRONG_INLINE static void run(Packet2cf& first, const Packet2cf& second)
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{
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if (Offset==1)
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{
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first.v = vextq_f32(first.v, second.v, 2);
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}
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}
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};
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template<> struct conj_helper<Packet2cf, Packet2cf, false,true>
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{
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EIGEN_STRONG_INLINE Packet2cf pmadd(const Packet2cf& x, const Packet2cf& y, const Packet2cf& c) const
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{ return padd(pmul(x,y),c); }
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EIGEN_STRONG_INLINE Packet2cf pmul(const Packet2cf& a, const Packet2cf& b) const
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{
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return internal::pmul(a, pconj(b));
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}
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};
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template<> struct conj_helper<Packet2cf, Packet2cf, true,false>
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{
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EIGEN_STRONG_INLINE Packet2cf pmadd(const Packet2cf& x, const Packet2cf& y, const Packet2cf& c) const
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{ return padd(pmul(x,y),c); }
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EIGEN_STRONG_INLINE Packet2cf pmul(const Packet2cf& a, const Packet2cf& b) const
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{
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return internal::pmul(pconj(a), b);
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}
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};
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template<> struct conj_helper<Packet2cf, Packet2cf, true,true>
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{
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EIGEN_STRONG_INLINE Packet2cf pmadd(const Packet2cf& x, const Packet2cf& y, const Packet2cf& c) const
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{ return padd(pmul(x,y),c); }
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EIGEN_STRONG_INLINE Packet2cf pmul(const Packet2cf& a, const Packet2cf& b) const
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{
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return pconj(internal::pmul(a, b));
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}
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};
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template<> EIGEN_STRONG_INLINE Packet2cf pdiv<Packet2cf>(const Packet2cf& a, const Packet2cf& b)
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{
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// TODO optimize it for NEON
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Packet2cf res = conj_helper<Packet2cf,Packet2cf,false,true>().pmul(a,b);
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Packet4f s, rev_s;
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// this computes the norm
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s = vmulq_f32(b.v, b.v);
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rev_s = vrev64q_f32(s);
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return Packet2cf(pdiv(res.v, vaddq_f32(s,rev_s)));
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}
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EIGEN_DEVICE_FUNC inline void
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ptranspose(PacketBlock<Packet2cf,2>& kernel) {
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Packet4f tmp = vcombine_f32(vget_high_f32(kernel.packet[0].v), vget_high_f32(kernel.packet[1].v));
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kernel.packet[0].v = vcombine_f32(vget_low_f32(kernel.packet[0].v), vget_low_f32(kernel.packet[1].v));
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kernel.packet[1].v = tmp;
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}
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//---------- double ----------
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#if EIGEN_ARCH_ARM64 && !EIGEN_APPLE_DOUBLE_NEON_BUG
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static uint64x2_t p2ul_CONJ_XOR = EIGEN_INIT_NEON_PACKET2(0x0, 0x8000000000000000);
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struct Packet1cd
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{
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EIGEN_STRONG_INLINE Packet1cd() {}
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EIGEN_STRONG_INLINE explicit Packet1cd(const Packet2d& a) : v(a) {}
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Packet2d v;
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};
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template<> struct packet_traits<std::complex<double> > : default_packet_traits
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{
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typedef Packet1cd type;
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typedef Packet1cd half;
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enum {
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Vectorizable = 1,
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AlignedOnScalar = 0,
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size = 1,
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HasHalfPacket = 0,
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HasAdd = 1,
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HasSub = 1,
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HasMul = 1,
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HasDiv = 1,
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HasNegate = 1,
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HasAbs = 0,
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HasAbs2 = 0,
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HasMin = 0,
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HasMax = 0,
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HasSetLinear = 0
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};
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};
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template<> struct unpacket_traits<Packet1cd> { typedef std::complex<double> type; enum {size=1, alignment=Aligned16}; typedef Packet1cd half; };
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template<> EIGEN_STRONG_INLINE Packet1cd pload<Packet1cd>(const std::complex<double>* from) { EIGEN_DEBUG_ALIGNED_LOAD return Packet1cd(pload<Packet2d>((const double*)from)); }
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template<> EIGEN_STRONG_INLINE Packet1cd ploadu<Packet1cd>(const std::complex<double>* from) { EIGEN_DEBUG_UNALIGNED_LOAD return Packet1cd(ploadu<Packet2d>((const double*)from)); }
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template<> EIGEN_STRONG_INLINE Packet1cd pset1<Packet1cd>(const std::complex<double>& from)
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{ /* here we really have to use unaligned loads :( */ return ploadu<Packet1cd>(&from); }
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template<> EIGEN_STRONG_INLINE Packet1cd padd<Packet1cd>(const Packet1cd& a, const Packet1cd& b) { return Packet1cd(padd<Packet2d>(a.v,b.v)); }
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template<> EIGEN_STRONG_INLINE Packet1cd psub<Packet1cd>(const Packet1cd& a, const Packet1cd& b) { return Packet1cd(psub<Packet2d>(a.v,b.v)); }
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template<> EIGEN_STRONG_INLINE Packet1cd pnegate(const Packet1cd& a) { return Packet1cd(pnegate<Packet2d>(a.v)); }
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template<> EIGEN_STRONG_INLINE Packet1cd pconj(const Packet1cd& a) { return Packet1cd(vreinterpretq_f64_u64(veorq_u64(vreinterpretq_u64_f64(a.v), p2ul_CONJ_XOR))); }
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template<> EIGEN_STRONG_INLINE Packet1cd pmul<Packet1cd>(const Packet1cd& a, const Packet1cd& b)
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{
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Packet2d v1, v2;
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// Get the real values of a
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v1 = vdupq_lane_f64(vget_low_f64(a.v), 0);
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// Get the imag values of a
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v2 = vdupq_lane_f64(vget_high_f64(a.v), 0);
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// Multiply the real a with b
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v1 = vmulq_f64(v1, b.v);
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// Multiply the imag a with b
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v2 = vmulq_f64(v2, b.v);
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// Conjugate v2
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v2 = vreinterpretq_f64_u64(veorq_u64(vreinterpretq_u64_f64(v2), p2ul_CONJ_XOR));
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// Swap real/imag elements in v2.
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v2 = preverse<Packet2d>(v2);
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// Add and return the result
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return Packet1cd(vaddq_f64(v1, v2));
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}
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template<> EIGEN_STRONG_INLINE Packet1cd pand <Packet1cd>(const Packet1cd& a, const Packet1cd& b)
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{
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return Packet1cd(vreinterpretq_f64_u64(vandq_u64(vreinterpretq_u64_f64(a.v),vreinterpretq_u64_f64(b.v))));
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}
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template<> EIGEN_STRONG_INLINE Packet1cd por <Packet1cd>(const Packet1cd& a, const Packet1cd& b)
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{
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return Packet1cd(vreinterpretq_f64_u64(vorrq_u64(vreinterpretq_u64_f64(a.v),vreinterpretq_u64_f64(b.v))));
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}
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template<> EIGEN_STRONG_INLINE Packet1cd pxor <Packet1cd>(const Packet1cd& a, const Packet1cd& b)
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{
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return Packet1cd(vreinterpretq_f64_u64(veorq_u64(vreinterpretq_u64_f64(a.v),vreinterpretq_u64_f64(b.v))));
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}
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template<> EIGEN_STRONG_INLINE Packet1cd pandnot<Packet1cd>(const Packet1cd& a, const Packet1cd& b)
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{
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return Packet1cd(vreinterpretq_f64_u64(vbicq_u64(vreinterpretq_u64_f64(a.v),vreinterpretq_u64_f64(b.v))));
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}
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template<> EIGEN_STRONG_INLINE Packet1cd ploaddup<Packet1cd>(const std::complex<double>* from) { return pset1<Packet1cd>(*from); }
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template<> EIGEN_STRONG_INLINE void pstore <std::complex<double> >(std::complex<double> * to, const Packet1cd& from) { EIGEN_DEBUG_ALIGNED_STORE pstore((double*)to, from.v); }
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template<> EIGEN_STRONG_INLINE void pstoreu<std::complex<double> >(std::complex<double> * to, const Packet1cd& from) { EIGEN_DEBUG_UNALIGNED_STORE pstoreu((double*)to, from.v); }
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template<> EIGEN_STRONG_INLINE void prefetch<std::complex<double> >(const std::complex<double> * addr) { EIGEN_ARM_PREFETCH((double *)addr); }
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template<> EIGEN_DEVICE_FUNC inline Packet1cd pgather<std::complex<double>, Packet1cd>(const std::complex<double>* from, Index stride)
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{
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Packet2d res = pset1<Packet2d>(0.0);
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res = vsetq_lane_f64(std::real(from[0*stride]), res, 0);
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res = vsetq_lane_f64(std::imag(from[0*stride]), res, 1);
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return Packet1cd(res);
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}
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template<> EIGEN_DEVICE_FUNC inline void pscatter<std::complex<double>, Packet1cd>(std::complex<double>* to, const Packet1cd& from, Index stride)
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{
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to[stride*0] = std::complex<double>(vgetq_lane_f64(from.v, 0), vgetq_lane_f64(from.v, 1));
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}
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template<> EIGEN_STRONG_INLINE std::complex<double> pfirst<Packet1cd>(const Packet1cd& a)
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{
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|
std::complex<double> EIGEN_ALIGN16 res;
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|
pstore<std::complex<double> >(&res, a);
|
|
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|
return res;
|
|
}
|
|
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|
template<> EIGEN_STRONG_INLINE Packet1cd preverse(const Packet1cd& a) { return a; }
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|
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|
template<> EIGEN_STRONG_INLINE std::complex<double> predux<Packet1cd>(const Packet1cd& a) { return pfirst(a); }
|
|
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|
template<> EIGEN_STRONG_INLINE Packet1cd preduxp<Packet1cd>(const Packet1cd* vecs) { return vecs[0]; }
|
|
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|
template<> EIGEN_STRONG_INLINE std::complex<double> predux_mul<Packet1cd>(const Packet1cd& a) { return pfirst(a); }
|
|
|
|
template<int Offset>
|
|
struct palign_impl<Offset,Packet1cd>
|
|
{
|
|
static EIGEN_STRONG_INLINE void run(Packet1cd& /*first*/, const Packet1cd& /*second*/)
|
|
{
|
|
// FIXME is it sure we never have to align a Packet1cd?
|
|
// Even though a std::complex<double> has 16 bytes, it is not necessarily aligned on a 16 bytes boundary...
|
|
}
|
|
};
|
|
|
|
template<> struct conj_helper<Packet1cd, Packet1cd, false,true>
|
|
{
|
|
EIGEN_STRONG_INLINE Packet1cd pmadd(const Packet1cd& x, const Packet1cd& y, const Packet1cd& c) const
|
|
{ return padd(pmul(x,y),c); }
|
|
|
|
EIGEN_STRONG_INLINE Packet1cd pmul(const Packet1cd& a, const Packet1cd& b) const
|
|
{
|
|
return internal::pmul(a, pconj(b));
|
|
}
|
|
};
|
|
|
|
template<> struct conj_helper<Packet1cd, Packet1cd, true,false>
|
|
{
|
|
EIGEN_STRONG_INLINE Packet1cd pmadd(const Packet1cd& x, const Packet1cd& y, const Packet1cd& c) const
|
|
{ return padd(pmul(x,y),c); }
|
|
|
|
EIGEN_STRONG_INLINE Packet1cd pmul(const Packet1cd& a, const Packet1cd& b) const
|
|
{
|
|
return internal::pmul(pconj(a), b);
|
|
}
|
|
};
|
|
|
|
template<> struct conj_helper<Packet1cd, Packet1cd, true,true>
|
|
{
|
|
EIGEN_STRONG_INLINE Packet1cd pmadd(const Packet1cd& x, const Packet1cd& y, const Packet1cd& c) const
|
|
{ return padd(pmul(x,y),c); }
|
|
|
|
EIGEN_STRONG_INLINE Packet1cd pmul(const Packet1cd& a, const Packet1cd& b) const
|
|
{
|
|
return pconj(internal::pmul(a, b));
|
|
}
|
|
};
|
|
|
|
template<> EIGEN_STRONG_INLINE Packet1cd pdiv<Packet1cd>(const Packet1cd& a, const Packet1cd& b)
|
|
{
|
|
// TODO optimize it for NEON
|
|
Packet1cd res = conj_helper<Packet1cd,Packet1cd,false,true>().pmul(a,b);
|
|
Packet2d s = pmul<Packet2d>(b.v, b.v);
|
|
Packet2d rev_s = preverse<Packet2d>(s);
|
|
|
|
return Packet1cd(pdiv(res.v, padd<Packet2d>(s,rev_s)));
|
|
}
|
|
|
|
EIGEN_STRONG_INLINE Packet1cd pcplxflip/*<Packet1cd>*/(const Packet1cd& x)
|
|
{
|
|
return Packet1cd(preverse(Packet2d(x.v)));
|
|
}
|
|
|
|
EIGEN_STRONG_INLINE void ptranspose(PacketBlock<Packet1cd,2>& kernel)
|
|
{
|
|
Packet2d tmp = vcombine_f64(vget_high_f64(kernel.packet[0].v), vget_high_f64(kernel.packet[1].v));
|
|
kernel.packet[0].v = vcombine_f64(vget_low_f64(kernel.packet[0].v), vget_low_f64(kernel.packet[1].v));
|
|
kernel.packet[1].v = tmp;
|
|
}
|
|
#endif // EIGEN_ARCH_ARM64
|
|
|
|
} // end namespace internal
|
|
|
|
} // end namespace Eigen
|
|
|
|
#endif // EIGEN_COMPLEX_NEON_H
|