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Altivec port of Complex.h.
Note: For some reason g++ 4.4 is >200% slower than g++ 4.3 on altivec code. The same benchmark (bench_gemm) was tested, on the same hardware/OS (G4/Debian testing), with same CFLAGS. With some code reorganizing I managed to get some minor gain on 4.4, but I just could not reach 4.3 speed. This is most likely a bug, but I'm waiting to see if it's fixed on 4.5. I'll look into this a bit more.
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Eigen/src/Core/arch/AltiVec/Complex.h
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Eigen/src/Core/arch/AltiVec/Complex.h
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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 Packet4ui ei_p4ui_CONJ_XOR = vec_mergeh((Packet4ui)ei_p4i_ZERO, (Packet4ui)ei_p4f_ZERO_);//{ 0x00000000, 0x80000000, 0x00000000, 0x80000000 };
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static Packet16uc ei_p16uc_COMPLEX_RE = vec_sld((Packet16uc) vec_splat((Packet4ui)ei_p16uc_FORWARD, 0), (Packet16uc) vec_splat((Packet4ui)ei_p16uc_FORWARD, 2), 8);//{ 0,1,2,3, 0,1,2,3, 8,9,10,11, 8,9,10,11 };
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static Packet16uc ei_p16uc_COMPLEX_IM = vec_sld((Packet16uc) vec_splat((Packet4ui)ei_p16uc_FORWARD, 1), (Packet16uc) vec_splat((Packet4ui)ei_p16uc_FORWARD, 3), 8);//{ 4,5,6,7, 4,5,6,7, 12,13,14,15, 12,13,14,15 };
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static Packet16uc ei_p16uc_COMPLEX_REV = vec_sld(ei_p16uc_REVERSE, ei_p16uc_REVERSE, 8);//{ 4,5,6,7, 0,1,2,3, 12,13,14,15, 8,9,10,11 };
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static Packet16uc ei_p16uc_COMPLEX_REV2 = vec_sld(ei_p16uc_FORWARD, ei_p16uc_FORWARD, 8);//{ 8,9,10,11, 12,13,14,15, 0,1,2,3, 4,5,6,7 };
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static Packet16uc ei_p16uc_PSET_HI = (Packet16uc) vec_mergeh((Packet4ui) vec_splat((Packet4ui)ei_p16uc_FORWARD, 0), (Packet4ui) vec_splat((Packet4ui)ei_p16uc_FORWARD, 1));//{ 0,1,2,3, 4,5,6,7, 0,1,2,3, 4,5,6,7 };
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static Packet16uc ei_p16uc_PSET_LO = (Packet16uc) vec_mergeh((Packet4ui) vec_splat((Packet4ui)ei_p16uc_FORWARD, 2), (Packet4ui) vec_splat((Packet4ui)ei_p16uc_FORWARD, 3));//{ 8,9,10,11, 12,13,14,15, 8,9,10,11, 12,13,14,15 };
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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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Packet2cf res;
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/* On AltiVec we cannot load 64-bit registers, so wa have to take care of alignment */
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if ((ptrdiff_t)&from % 16 == 0) {
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res.v = ei_pload((const float *)&from);
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res.v = vec_perm(res.v, res.v, ei_p16uc_PSET_HI);
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} else {
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res.v = ei_ploadu((const float *)&from);
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res.v = vec_perm(res.v, res.v, ei_p16uc_PSET_LO);
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}
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return res;
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}
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template<> EIGEN_STRONG_INLINE Packet2cf ei_padd<Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(vec_add(a.v,b.v)); }
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template<> EIGEN_STRONG_INLINE Packet2cf ei_psub<Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(vec_sub(a.v,b.v)); }
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template<> EIGEN_STRONG_INLINE Packet2cf ei_pnegate(const Packet2cf& a) { return Packet2cf(ei_psub<Packet4f>(ei_p4f_ZERO, a.v)); }
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template<> EIGEN_STRONG_INLINE Packet2cf ei_pconj(const Packet2cf& a) { return Packet2cf((Packet4f)vec_xor((Packet4ui)a.v, ei_p4ui_CONJ_XOR)); }
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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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// Permute and multiply the real parts of a and b
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v1 = vec_perm(a.v, a.v, ei_p16uc_COMPLEX_RE);
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// Get the imaginary parts of a
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v2 = vec_perm(a.v, a.v, ei_p16uc_COMPLEX_IM);
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// multiply a_re * b
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v1 = vec_madd(v1, b.v, ei_p4f_ZERO);
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// multiply a_im * b and get the conjugate result
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v2 = vec_madd(v2, b.v, ei_p4f_ZERO);
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v2 = (Packet4f) vec_xor((Packet4ui)v2, ei_p4ui_CONJ_XOR);
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// permute back to a proper order
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v2 = vec_perm(v2, v2, ei_p16uc_COMPLEX_REV);
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return Packet2cf(vec_add(v1, v2));
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}
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template<> EIGEN_STRONG_INLINE Packet2cf ei_pand <Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(vec_and(a.v,b.v)); }
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template<> EIGEN_STRONG_INLINE Packet2cf ei_por <Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(vec_or(a.v,b.v)); }
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template<> EIGEN_STRONG_INLINE Packet2cf ei_pxor <Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(vec_xor(a.v,b.v)); }
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template<> EIGEN_STRONG_INLINE Packet2cf ei_pandnot<Packet2cf>(const Packet2cf& a, const Packet2cf& b) { return Packet2cf(vec_and(a.v, vec_nor(b.v,b.v))); }
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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) { vec_dstt((float *)addr, DST_CTRL(2,2,32), DST_CHAN); }
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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 res[2];
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ei_pstore((float *)&res, a.v);
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return res[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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Packet4f rev_a;
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rev_a = vec_perm(a.v, a.v, ei_p16uc_COMPLEX_REV2);
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return Packet2cf(rev_a);
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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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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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}
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template<> EIGEN_STRONG_INLINE Packet2cf ei_preduxp<Packet2cf>(const Packet2cf* vecs)
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{
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Packet4f b1, b2;
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b1 = (Packet4f) vec_sld(vecs[0].v, vecs[1].v, 8);
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b2 = (Packet4f) vec_sld(vecs[1].v, vecs[0].v, 8);
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b2 = (Packet4f) vec_sld(b2, b2, 8);
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b2 = ei_padd(b1, b2);
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return Packet2cf(b2);
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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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Packet4f b;
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Packet2cf prod;
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b = (Packet4f) vec_sld(a.v, a.v, 8);
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prod = ei_pmul(a, Packet2cf(b));
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return ei_pfirst(prod);
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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 = vec_sld(first.v, second.v, 8);
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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 = vec_madd(b.v, b.v, ei_p4f_ZERO);
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return Packet2cf(ei_pdiv(res.v, vec_add(s,vec_perm(s, s, ei_p16uc_COMPLEX_REV))));
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}
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#endif // EIGEN_COMPLEX_ALTIVEC_H
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