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Added NEON/Complex.h, ~3.5x faster than scalar std::complex<float>
minor fix in AltiVec Complex.h
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@ -150,7 +150,7 @@ if(CMAKE_COMPILER_IS_GNUCXX)
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option(EIGEN_TEST_NEON "Enable/Disable Neon in tests/examples" OFF)
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if(EIGEN_TEST_NEON)
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set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} -mfloat-abi=softfp -mfpu=neon -mcpu=cortex-a8")
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set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} -mfloat-abi=hard -mfpu=neon -mcpu=cortex-a8")
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message("Enabling NEON in tests/examples")
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endif()
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@ -227,6 +227,7 @@ using std::size_t;
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#include "src/Core/arch/AltiVec/Complex.h"
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#elif defined EIGEN_VECTORIZE_NEON
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#include "src/Core/arch/NEON/PacketMath.h"
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#include "src/Core/arch/NEON/Complex.h"
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#endif
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#include "src/Core/arch/Default/Settings.h"
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@ -132,10 +132,9 @@ template<> EIGEN_STRONG_INLINE Packet2cf ei_preverse(const Packet2cf& a)
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template<> EIGEN_STRONG_INLINE std::complex<float> ei_predux<Packet2cf>(const Packet2cf& a)
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{
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Packet4f b;
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Packet2cf sum;
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b = (Packet4f) vec_sld(a.v, a.v, 8);
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sum = ei_padd(a, Packet2cf(b));
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return ei_pfirst(sum);
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b = ei_padd(a.v, b);
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return ei_pfirst(Packet2cf(sum));
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}
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template<> EIGEN_STRONG_INLINE Packet2cf ei_preduxp<Packet2cf>(const Packet2cf* vecs)
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257
Eigen/src/Core/arch/NEON/Complex.h
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257
Eigen/src/Core/arch/NEON/Complex.h
Normal file
@ -0,0 +1,257 @@
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// 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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// Eigen is free software; you can redistribute it and/or
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// modify it under the terms of the GNU Lesser General Public
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// License as published by the Free Software Foundation; either
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// version 3 of the License, or (at your option) any later version.
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//
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// Alternatively, you can redistribute it and/or
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// modify it under the terms of the GNU General Public License as
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// published by the Free Software Foundation; either version 2 of
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// the License, or (at your option) any later version.
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//
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// Eigen is distributed in the hope that it will be useful, but WITHOUT ANY
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// WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
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// FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License or the
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// GNU General Public License for more details.
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//
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// You should have received a copy of the GNU Lesser General Public
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// License and a copy of the GNU General Public License along with
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// Eigen. If not, see <http://www.gnu.org/licenses/>.
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#ifndef EIGEN_COMPLEX_ALTIVEC_H
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#define EIGEN_COMPLEX_ALTIVEC_H
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static uint32x4_t ei_p4ui_CONJ_XOR = { 0x00000000, 0x80000000, 0x00000000, 0x80000000 };
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static uint32x2_t ei_p2ui_CONJ_XOR = { 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 ei_packet_traits<std::complex<float> > : ei_default_packet_traits
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{
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typedef Packet2cf type;
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enum {
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Vectorizable = 1,
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size = 2,
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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 ei_unpacket_traits<Packet2cf> { typedef std::complex<float> type; enum {size=2}; };
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template<> EIGEN_STRONG_INLINE Packet2cf ei_pset1<std::complex<float> >(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 ei_padd<Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(ei_padd<Packet4f>(a.v,b.v)); }
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template<> EIGEN_STRONG_INLINE Packet2cf ei_psub<Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(ei_psub<Packet4f>(a.v,b.v)); }
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template<> EIGEN_STRONG_INLINE Packet2cf ei_pnegate(const Packet2cf& a) { return Packet2cf(ei_pnegate<Packet4f>(a.v)); }
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template<> EIGEN_STRONG_INLINE Packet2cf ei_pconj(const Packet2cf& a)
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{
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return Packet2cf(vreinterpretq_f32_u32(veorq_u32(vreinterpretq_u32_f32(a.v), ei_p4ui_CONJ_XOR)));
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}
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template<> EIGEN_STRONG_INLINE Packet2cf ei_pmul<Packet2cf>(const Packet2cf& a, const Packet2cf& b)
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{
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Packet4f v1, v2;
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float32x2_t a_lo, a_hi;
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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 real 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), ei_p4ui_CONJ_XOR));
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// Swap real/imag elements in v2.
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a_lo = vrev64_f32(vget_low_f32(v2));
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a_hi = vrev64_f32(vget_high_f32(v2));
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v2 = vcombine_f32(a_lo, a_hi);
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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 ei_pand <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 ei_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 ei_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 ei_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 ei_pload <std::complex<float> >(const std::complex<float>* from) { EIGEN_DEBUG_ALIGNED_LOAD return Packet2cf(ei_pload((const float*)from)); }
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template<> EIGEN_STRONG_INLINE Packet2cf ei_ploadu<std::complex<float> >(const std::complex<float>* from) { EIGEN_DEBUG_UNALIGNED_LOAD return Packet2cf(ei_ploadu((const float*)from)); }
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template<> EIGEN_STRONG_INLINE void ei_pstore <std::complex<float> >(std::complex<float> * to, const Packet2cf& from) { EIGEN_DEBUG_ALIGNED_STORE ei_pstore((float*)to, from.v); }
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template<> EIGEN_STRONG_INLINE void ei_pstoreu<std::complex<float> >(std::complex<float> * to, const Packet2cf& from) { EIGEN_DEBUG_UNALIGNED_STORE ei_pstoreu((float*)to, from.v); }
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template<> EIGEN_STRONG_INLINE void ei_prefetch<std::complex<float> >(const std::complex<float> * addr) { __pld((float *)addr); }
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template<> EIGEN_STRONG_INLINE std::complex<float> ei_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 ei_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 std::complex<float> ei_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 ei_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> ei_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), ei_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 ei_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 ei_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 ei_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 ei_pmul(a, ei_pconj(b));
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}
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};
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template<> struct ei_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 ei_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 ei_pmul(ei_pconj(a), b);
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}
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};
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template<> struct ei_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 ei_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 ei_pconj(ei_pmul(a, b));
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}
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};
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template<> EIGEN_STRONG_INLINE Packet2cf ei_pdiv<Packet2cf>(const Packet2cf& a, const Packet2cf& b)
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{
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// TODO optimize it for AltiVec
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Packet2cf res = ei_conj_helper<Packet2cf,Packet2cf,false,true>().pmul(a,b);
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Packet4f s, rev_s;
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float32x2_t a_lo, a_hi;
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// this computes the norm
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s = vmulq_f32(b.v, b.v);
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a_lo = vrev64_f32(vget_low_f32(s));
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a_hi = vrev64_f32(vget_high_f32(s));
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rev_s = vcombine_f32(a_lo, a_hi);
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return Packet2cf(ei_pdiv(res.v, vaddq_f32(s,rev_s)));
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}
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#endif // EIGEN_COMPLEX_ALTIVEC_H
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@ -63,7 +63,8 @@ template<> struct ei_packet_traits<float> : ei_default_packet_traits
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enum {
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Vectorizable = 1,
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size = 4,
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HasDiv = 1,
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// FIXME check the Has*
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HasSin = 0,
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HasCos = 0,
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@ -174,8 +175,8 @@ template<> EIGEN_STRONG_INLINE Packet4i ei_pandnot<Packet4i>(const Packet4i& a,
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template<> EIGEN_STRONG_INLINE Packet4f ei_pload<float>(const float* from) { EIGEN_DEBUG_ALIGNED_LOAD return vld1q_f32(from); }
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template<> EIGEN_STRONG_INLINE Packet4i ei_pload<int>(const int* from) { EIGEN_DEBUG_ALIGNED_LOAD return vld1q_s32(from); }
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template<> EIGEN_STRONG_INLINE Packet4f ei_ploadu(const float* from) { EIGEN_DEBUG_ALIGNED_LOAD return vld1q_f32(from); }
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template<> EIGEN_STRONG_INLINE Packet4i ei_ploadu(const int* from) { EIGEN_DEBUG_ALIGNED_LOAD return vld1q_s32(from); }
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template<> EIGEN_STRONG_INLINE Packet4f ei_ploadu(const float* from) { EIGEN_DEBUG_UNALIGNED_LOAD return vld1q_f32(from); }
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template<> EIGEN_STRONG_INLINE Packet4i ei_ploadu(const int* from) { EIGEN_DEBUG_UNALIGNED_LOAD return vld1q_s32(from); }
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template<> EIGEN_STRONG_INLINE void ei_pstore<float>(float* to, const Packet4f& from) { EIGEN_DEBUG_ALIGNED_STORE vst1q_f32(to, from); }
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template<> EIGEN_STRONG_INLINE void ei_pstore<int>(int* to, const Packet4i& from) { EIGEN_DEBUG_ALIGNED_STORE vst1q_s32(to, from); }
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