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* faster matrix-matrix and matrix-vector products (especially for not aligned cases) * faster tridiagonalization (make it using our matrix-vector impl.) Others: * fix Flags of Map * split the test_product to two smaller ones
205 lines
8.6 KiB
C++
205 lines
8.6 KiB
C++
// This file is part of Eigen, a lightweight C++ template library
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// for linear algebra. Eigen itself is part of the KDE project.
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//
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// Copyright (C) 2008 Gael Guennebaud <g.gael@free.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_PACKET_MATH_SSE_H
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#define EIGEN_PACKET_MATH_SSE_H
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#ifndef EIGEN_CACHEFRIENDLY_PRODUCT_THRESHOLD
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#define EIGEN_CACHEFRIENDLY_PRODUCT_THRESHOLD 16
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#endif
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template<> struct ei_packet_traits<float> { typedef __m128 type; enum {size=4}; };
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template<> struct ei_packet_traits<double> { typedef __m128d type; enum {size=2}; };
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template<> struct ei_packet_traits<int> { typedef __m128i type; enum {size=4}; };
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template<> struct ei_unpacket_traits<__m128> { typedef float type; enum {size=4}; };
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template<> struct ei_unpacket_traits<__m128d> { typedef double type; enum {size=2}; };
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template<> struct ei_unpacket_traits<__m128i> { typedef int type; enum {size=4}; };
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template<> inline __m128 ei_padd(const __m128& a, const __m128& b) { return _mm_add_ps(a,b); }
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template<> inline __m128d ei_padd(const __m128d& a, const __m128d& b) { return _mm_add_pd(a,b); }
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template<> inline __m128i ei_padd(const __m128i& a, const __m128i& b) { return _mm_add_epi32(a,b); }
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template<> inline __m128 ei_psub(const __m128& a, const __m128& b) { return _mm_sub_ps(a,b); }
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template<> inline __m128d ei_psub(const __m128d& a, const __m128d& b) { return _mm_sub_pd(a,b); }
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template<> inline __m128i ei_psub(const __m128i& a, const __m128i& b) { return _mm_sub_epi32(a,b); }
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template<> inline __m128 ei_pmul(const __m128& a, const __m128& b) { return _mm_mul_ps(a,b); }
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template<> inline __m128d ei_pmul(const __m128d& a, const __m128d& b) { return _mm_mul_pd(a,b); }
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template<> inline __m128i ei_pmul(const __m128i& a, const __m128i& b)
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{
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return _mm_or_si128(
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_mm_and_si128(
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_mm_mul_epu32(a,b),
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_mm_setr_epi32(0xffffffff,0,0xffffffff,0)),
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_mm_slli_si128(
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_mm_and_si128(
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_mm_mul_epu32(_mm_srli_si128(a,4),_mm_srli_si128(b,4)),
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_mm_setr_epi32(0xffffffff,0,0xffffffff,0)), 4));
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}
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template<> inline __m128 ei_pdiv(const __m128& a, const __m128& b) { return _mm_div_ps(a,b); }
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template<> inline __m128d ei_pdiv(const __m128d& a, const __m128d& b) { return _mm_div_pd(a,b); }
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template<> inline __m128i ei_pdiv(const __m128i& /*a*/, const __m128i& /*b*/)
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{ ei_assert(false && "packet integer division are not supported by SSE"); }
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// for some weird raisons, it has to be overloaded for packet integer
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template<> inline __m128i ei_pmadd(const __m128i& a, const __m128i& b, const __m128i& c) { return ei_padd(ei_pmul(a,b), c); }
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template<> inline __m128 ei_pmin(const __m128& a, const __m128& b) { return _mm_min_ps(a,b); }
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template<> inline __m128d ei_pmin(const __m128d& a, const __m128d& b) { return _mm_min_pd(a,b); }
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// FIXME this vectorized min operator is likely to be slower than the standard one
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template<> inline __m128i ei_pmin(const __m128i& a, const __m128i& b)
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{
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__m128i mask = _mm_cmplt_epi32(a,b);
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return _mm_or_si128(_mm_and_si128(mask,a),_mm_andnot_si128(mask,b));
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}
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template<> inline __m128 ei_pmax(const __m128& a, const __m128& b) { return _mm_max_ps(a,b); }
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template<> inline __m128d ei_pmax(const __m128d& a, const __m128d& b) { return _mm_max_pd(a,b); }
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// FIXME this vectorized max operator is likely to be slower than the standard one
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template<> inline __m128i ei_pmax(const __m128i& a, const __m128i& b)
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{
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__m128i mask = _mm_cmpgt_epi32(a,b);
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return _mm_or_si128(_mm_and_si128(mask,a),_mm_andnot_si128(mask,b));
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}
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template<> inline __m128 ei_pload(const float* from) { return _mm_load_ps(from); }
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template<> inline __m128d ei_pload(const double* from) { return _mm_load_pd(from); }
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template<> inline __m128i ei_pload(const int* from) { return _mm_load_si128(reinterpret_cast<const __m128i*>(from)); }
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template<> inline __m128 ei_ploadu(const float* from) { return _mm_loadu_ps(from); }
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template<> inline __m128d ei_ploadu(const double* from) { return _mm_loadu_pd(from); }
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template<> inline __m128i ei_ploadu(const int* from) { return _mm_loadu_si128(reinterpret_cast<const __m128i*>(from)); }
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template<> inline __m128 ei_pset1(const float& from) { return _mm_set1_ps(from); }
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template<> inline __m128d ei_pset1(const double& from) { return _mm_set1_pd(from); }
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template<> inline __m128i ei_pset1(const int& from) { return _mm_set1_epi32(from); }
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template<> inline void ei_pstore(float* to, const __m128& from) { _mm_store_ps(to, from); }
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template<> inline void ei_pstore(double* to, const __m128d& from) { _mm_store_pd(to, from); }
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template<> inline void ei_pstore(int* to, const __m128i& from) { _mm_store_si128(reinterpret_cast<__m128i*>(to), from); }
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template<> inline void ei_pstoreu(float* to, const __m128& from) { _mm_storeu_ps(to, from); }
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template<> inline void ei_pstoreu(double* to, const __m128d& from) { _mm_storeu_pd(to, from); }
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template<> inline void ei_pstoreu(int* to, const __m128i& from) { _mm_storeu_si128(reinterpret_cast<__m128i*>(to), from); }
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template<> inline float ei_pfirst(const __m128& a) { return _mm_cvtss_f32(a); }
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template<> inline double ei_pfirst(const __m128d& a) { return _mm_cvtsd_f64(a); }
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template<> inline int ei_pfirst(const __m128i& a) { return _mm_cvtsi128_si32(a); }
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#ifdef __SSE3__
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// TODO implement SSE2 versions as well as integer versions
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inline __m128 ei_preduxp(const __m128* vecs)
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{
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return _mm_hadd_ps(_mm_hadd_ps(vecs[0], vecs[1]),_mm_hadd_ps(vecs[2], vecs[3]));
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}
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inline __m128d ei_preduxp(const __m128d* vecs)
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{
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return _mm_hadd_pd(vecs[0], vecs[1]);
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}
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// SSSE3 version:
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// inline __m128i ei_preduxp(const __m128i* vecs)
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// {
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// return _mm_hadd_epi32(_mm_hadd_epi32(vecs[0], vecs[1]),_mm_hadd_epi32(vecs[2], vecs[3]));
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// }
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inline float ei_predux(const __m128& a)
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{
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__m128 tmp0 = _mm_hadd_ps(a,a);
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return ei_pfirst(_mm_hadd_ps(tmp0, tmp0));
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}
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inline double ei_predux(const __m128d& a) { return ei_pfirst(_mm_hadd_pd(a, a)); }
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// SSSE3 version:
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// inline float ei_predux(const __m128i& a)
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// {
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// __m128i tmp0 = _mm_hadd_epi32(a,a);
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// return ei_pfirst(_mm_hadd_epi32(tmp0, tmp0));
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// }
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#else
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// SSE2 versions
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inline float ei_predux(const __m128& a)
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{
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__m128 tmp = _mm_add_ps(a, _mm_movehl_ps(a,a));
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return ei_pfirst(_mm_add_ss(tmp, _mm_shuffle_ps(tmp,tmp, 1)));
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}
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inline double ei_predux(const __m128d& a)
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{
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return ei_pfirst(_mm_add_sd(a, _mm_unpackhi_pd(a,a)));
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}
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inline __m128 ei_preduxp(const __m128* vecs)
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{
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__m128 tmp0, tmp1, tmp2;
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tmp0 = _mm_unpacklo_ps(vecs[0], vecs[1]);
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tmp1 = _mm_unpackhi_ps(vecs[0], vecs[1]);
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tmp2 = _mm_unpackhi_ps(vecs[2], vecs[3]);
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tmp0 = _mm_add_ps(tmp0, tmp1);
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tmp1 = _mm_unpacklo_ps(vecs[2], vecs[3]);
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tmp1 = _mm_add_ps(tmp1, tmp2);
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tmp2 = _mm_movehl_ps(tmp1, tmp0);
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tmp0 = _mm_movelh_ps(tmp0, tmp1);
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return _mm_add_ps(tmp0, tmp2);
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}
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inline __m128d ei_preduxp(const __m128d* vecs)
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{
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return _mm_add_pd(_mm_unpacklo_pd(vecs[0], vecs[1]), _mm_unpackhi_pd(vecs[0], vecs[1]));
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}
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#endif // SSE3
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inline int ei_predux(const __m128i& a)
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{
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__m128i tmp = _mm_add_epi32(a, _mm_unpackhi_epi64(a,a));
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return ei_pfirst(tmp) + ei_pfirst(_mm_shuffle_epi32(tmp, 1));
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}
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inline __m128i ei_preduxp(const __m128i* vecs)
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{
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__m128i tmp0, tmp1, tmp2;
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tmp0 = _mm_unpacklo_epi32(vecs[0], vecs[1]);
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tmp1 = _mm_unpackhi_epi32(vecs[0], vecs[1]);
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tmp2 = _mm_unpackhi_epi32(vecs[2], vecs[3]);
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tmp0 = _mm_add_epi32(tmp0, tmp1);
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tmp1 = _mm_unpacklo_epi32(vecs[2], vecs[3]);
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tmp1 = _mm_add_epi32(tmp1, tmp2);
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tmp2 = _mm_unpacklo_epi64(tmp0, tmp1);
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tmp0 = _mm_unpackhi_epi64(tmp0, tmp1);
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return _mm_add_epi32(tmp0, tmp2);
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}
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#if (defined __GNUC__)
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// template <> inline __m128 ei_pmadd(const __m128& a, const __m128& b, const __m128& c)
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// {
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// __m128 res = b;
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// asm("mulps %[a], %[b] \n\taddps %[c], %[b]" : [b] "+x" (res) : [a] "x" (a), [c] "x" (c));
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// return res;
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// }
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#endif
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#endif // EIGEN_PACKET_MATH_SSE_H
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