1 | // This file is part of Eigen, a lightweight C++ template library |
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2 | // for linear algebra. |
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3 | // |
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4 | // Copyright (C) 2008-2009 Gael Guennebaud <gael.guennebaud@inria.fr> |
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5 | // |
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6 | // This Source Code Form is subject to the terms of the Mozilla |
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7 | // Public License v. 2.0. If a copy of the MPL was not distributed |
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8 | // with this file, You can obtain one at http://mozilla.org/MPL/2.0/. |
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9 | |
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10 | #ifndef EIGEN_PACKET_MATH_SSE_H |
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11 | #define EIGEN_PACKET_MATH_SSE_H |
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12 | |
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13 | namespace Eigen { |
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14 | |
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15 | namespace internal { |
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16 | |
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17 | #ifndef EIGEN_CACHEFRIENDLY_PRODUCT_THRESHOLD |
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18 | #define EIGEN_CACHEFRIENDLY_PRODUCT_THRESHOLD 8 |
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19 | #endif |
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20 | |
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21 | #ifndef EIGEN_ARCH_DEFAULT_NUMBER_OF_REGISTERS |
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22 | #define EIGEN_ARCH_DEFAULT_NUMBER_OF_REGISTERS (2*sizeof(void*)) |
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23 | #endif |
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24 | |
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25 | typedef __m128 Packet4f; |
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26 | typedef __m128i Packet4i; |
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27 | typedef __m128d Packet2d; |
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28 | |
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29 | template<> struct is_arithmetic<__m128> { enum { value = true }; }; |
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30 | template<> struct is_arithmetic<__m128i> { enum { value = true }; }; |
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31 | template<> struct is_arithmetic<__m128d> { enum { value = true }; }; |
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32 | |
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33 | #define vec4f_swizzle1(v,p,q,r,s) \ |
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34 | (_mm_castsi128_ps(_mm_shuffle_epi32( _mm_castps_si128(v), ((s)<<6|(r)<<4|(q)<<2|(p))))) |
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35 | |
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36 | #define vec4i_swizzle1(v,p,q,r,s) \ |
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37 | (_mm_shuffle_epi32( v, ((s)<<6|(r)<<4|(q)<<2|(p)))) |
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38 | |
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39 | #define vec2d_swizzle1(v,p,q) \ |
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40 | (_mm_castsi128_pd(_mm_shuffle_epi32( _mm_castpd_si128(v), ((q*2+1)<<6|(q*2)<<4|(p*2+1)<<2|(p*2))))) |
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41 | |
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42 | #define vec4f_swizzle2(a,b,p,q,r,s) \ |
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43 | (_mm_shuffle_ps( (a), (b), ((s)<<6|(r)<<4|(q)<<2|(p)))) |
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44 | |
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45 | #define vec4i_swizzle2(a,b,p,q,r,s) \ |
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46 | (_mm_castps_si128( (_mm_shuffle_ps( _mm_castsi128_ps(a), _mm_castsi128_ps(b), ((s)<<6|(r)<<4|(q)<<2|(p)))))) |
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47 | |
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48 | #define _EIGEN_DECLARE_CONST_Packet4f(NAME,X) \ |
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49 | const Packet4f p4f_##NAME = pset1<Packet4f>(X) |
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50 | |
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51 | #define _EIGEN_DECLARE_CONST_Packet4f_FROM_INT(NAME,X) \ |
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52 | const Packet4f p4f_##NAME = _mm_castsi128_ps(pset1<Packet4i>(X)) |
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53 | |
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54 | #define _EIGEN_DECLARE_CONST_Packet4i(NAME,X) \ |
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55 | const Packet4i p4i_##NAME = pset1<Packet4i>(X) |
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56 | |
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57 | |
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58 | template<> struct packet_traits<float> : default_packet_traits |
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59 | { |
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60 | typedef Packet4f type; |
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61 | enum { |
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62 | Vectorizable = 1, |
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63 | AlignedOnScalar = 1, |
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64 | size=4, |
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65 | |
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66 | HasDiv = 1, |
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67 | HasSin = EIGEN_FAST_MATH, |
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68 | HasCos = EIGEN_FAST_MATH, |
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69 | HasLog = 1, |
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70 | HasExp = 1, |
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71 | HasSqrt = 1 |
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72 | }; |
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73 | }; |
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74 | template<> struct packet_traits<double> : default_packet_traits |
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75 | { |
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76 | typedef Packet2d type; |
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77 | enum { |
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78 | Vectorizable = 1, |
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79 | AlignedOnScalar = 1, |
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80 | size=2, |
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81 | |
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82 | HasDiv = 1 |
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83 | }; |
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84 | }; |
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85 | template<> struct packet_traits<int> : default_packet_traits |
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86 | { |
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87 | typedef Packet4i type; |
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88 | enum { |
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89 | // FIXME check the Has* |
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90 | Vectorizable = 1, |
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91 | AlignedOnScalar = 1, |
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92 | size=4 |
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93 | }; |
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94 | }; |
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95 | |
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96 | template<> struct unpacket_traits<Packet4f> { typedef float type; enum {size=4}; }; |
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97 | template<> struct unpacket_traits<Packet2d> { typedef double type; enum {size=2}; }; |
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98 | template<> struct unpacket_traits<Packet4i> { typedef int type; enum {size=4}; }; |
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99 | |
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100 | #if defined(_MSC_VER) && (_MSC_VER==1500) |
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101 | // Workaround MSVC 9 internal compiler error. |
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102 | // TODO: It has been detected with win64 builds (amd64), so let's check whether it also happens in 32bits+SSE mode |
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103 | // TODO: let's check whether there does not exist a better fix, like adding a pset0() function. (it crashed on pset1(0)). |
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104 | template<> EIGEN_STRONG_INLINE Packet4f pset1<Packet4f>(const float& from) { return _mm_set_ps(from,from,from,from); } |
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105 | template<> EIGEN_STRONG_INLINE Packet2d pset1<Packet2d>(const double& from) { return _mm_set_pd(from,from); } |
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106 | template<> EIGEN_STRONG_INLINE Packet4i pset1<Packet4i>(const int& from) { return _mm_set_epi32(from,from,from,from); } |
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107 | #else |
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108 | template<> EIGEN_STRONG_INLINE Packet4f pset1<Packet4f>(const float& from) { return _mm_set1_ps(from); } |
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109 | template<> EIGEN_STRONG_INLINE Packet2d pset1<Packet2d>(const double& from) { return _mm_set1_pd(from); } |
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110 | template<> EIGEN_STRONG_INLINE Packet4i pset1<Packet4i>(const int& from) { return _mm_set1_epi32(from); } |
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111 | #endif |
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112 | |
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113 | template<> EIGEN_STRONG_INLINE Packet4f plset<float>(const float& a) { return _mm_add_ps(pset1<Packet4f>(a), _mm_set_ps(3,2,1,0)); } |
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114 | template<> EIGEN_STRONG_INLINE Packet2d plset<double>(const double& a) { return _mm_add_pd(pset1<Packet2d>(a),_mm_set_pd(1,0)); } |
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115 | template<> EIGEN_STRONG_INLINE Packet4i plset<int>(const int& a) { return _mm_add_epi32(pset1<Packet4i>(a),_mm_set_epi32(3,2,1,0)); } |
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116 | |
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117 | template<> EIGEN_STRONG_INLINE Packet4f padd<Packet4f>(const Packet4f& a, const Packet4f& b) { return _mm_add_ps(a,b); } |
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118 | template<> EIGEN_STRONG_INLINE Packet2d padd<Packet2d>(const Packet2d& a, const Packet2d& b) { return _mm_add_pd(a,b); } |
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119 | template<> EIGEN_STRONG_INLINE Packet4i padd<Packet4i>(const Packet4i& a, const Packet4i& b) { return _mm_add_epi32(a,b); } |
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120 | |
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121 | template<> EIGEN_STRONG_INLINE Packet4f psub<Packet4f>(const Packet4f& a, const Packet4f& b) { return _mm_sub_ps(a,b); } |
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122 | template<> EIGEN_STRONG_INLINE Packet2d psub<Packet2d>(const Packet2d& a, const Packet2d& b) { return _mm_sub_pd(a,b); } |
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123 | template<> EIGEN_STRONG_INLINE Packet4i psub<Packet4i>(const Packet4i& a, const Packet4i& b) { return _mm_sub_epi32(a,b); } |
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124 | |
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125 | template<> EIGEN_STRONG_INLINE Packet4f pnegate(const Packet4f& a) |
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126 | { |
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127 | const Packet4f mask = _mm_castsi128_ps(_mm_setr_epi32(0x80000000,0x80000000,0x80000000,0x80000000)); |
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128 | return _mm_xor_ps(a,mask); |
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129 | } |
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130 | template<> EIGEN_STRONG_INLINE Packet2d pnegate(const Packet2d& a) |
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131 | { |
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132 | const Packet2d mask = _mm_castsi128_pd(_mm_setr_epi32(0x0,0x80000000,0x0,0x80000000)); |
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133 | return _mm_xor_pd(a,mask); |
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134 | } |
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135 | template<> EIGEN_STRONG_INLINE Packet4i pnegate(const Packet4i& a) |
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136 | { |
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137 | return psub(_mm_setr_epi32(0,0,0,0), a); |
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138 | } |
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139 | |
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140 | template<> EIGEN_STRONG_INLINE Packet4f pmul<Packet4f>(const Packet4f& a, const Packet4f& b) { return _mm_mul_ps(a,b); } |
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141 | template<> EIGEN_STRONG_INLINE Packet2d pmul<Packet2d>(const Packet2d& a, const Packet2d& b) { return _mm_mul_pd(a,b); } |
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142 | template<> EIGEN_STRONG_INLINE Packet4i pmul<Packet4i>(const Packet4i& a, const Packet4i& b) |
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143 | { |
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144 | #ifdef EIGEN_VECTORIZE_SSE4_1 |
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145 | return _mm_mullo_epi32(a,b); |
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146 | #else |
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147 | // this version is slightly faster than 4 scalar products |
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148 | return vec4i_swizzle1( |
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149 | vec4i_swizzle2( |
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150 | _mm_mul_epu32(a,b), |
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151 | _mm_mul_epu32(vec4i_swizzle1(a,1,0,3,2), |
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152 | vec4i_swizzle1(b,1,0,3,2)), |
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153 | 0,2,0,2), |
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154 | 0,2,1,3); |
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155 | #endif |
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156 | } |
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157 | |
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158 | template<> EIGEN_STRONG_INLINE Packet4f pdiv<Packet4f>(const Packet4f& a, const Packet4f& b) { return _mm_div_ps(a,b); } |
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159 | template<> EIGEN_STRONG_INLINE Packet2d pdiv<Packet2d>(const Packet2d& a, const Packet2d& b) { return _mm_div_pd(a,b); } |
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160 | template<> EIGEN_STRONG_INLINE Packet4i pdiv<Packet4i>(const Packet4i& /*a*/, const Packet4i& /*b*/) |
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161 | { eigen_assert(false && "packet integer division are not supported by SSE"); |
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162 | return pset1<Packet4i>(0); |
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163 | } |
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164 | |
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165 | // for some weird raisons, it has to be overloaded for packet of integers |
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166 | template<> EIGEN_STRONG_INLINE Packet4i pmadd(const Packet4i& a, const Packet4i& b, const Packet4i& c) { return padd(pmul(a,b), c); } |
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167 | |
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168 | template<> EIGEN_STRONG_INLINE Packet4f pmin<Packet4f>(const Packet4f& a, const Packet4f& b) { return _mm_min_ps(a,b); } |
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169 | template<> EIGEN_STRONG_INLINE Packet2d pmin<Packet2d>(const Packet2d& a, const Packet2d& b) { return _mm_min_pd(a,b); } |
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170 | template<> EIGEN_STRONG_INLINE Packet4i pmin<Packet4i>(const Packet4i& a, const Packet4i& b) |
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171 | { |
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172 | // after some bench, this version *is* faster than a scalar implementation |
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173 | Packet4i mask = _mm_cmplt_epi32(a,b); |
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174 | return _mm_or_si128(_mm_and_si128(mask,a),_mm_andnot_si128(mask,b)); |
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175 | } |
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176 | |
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177 | template<> EIGEN_STRONG_INLINE Packet4f pmax<Packet4f>(const Packet4f& a, const Packet4f& b) { return _mm_max_ps(a,b); } |
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178 | template<> EIGEN_STRONG_INLINE Packet2d pmax<Packet2d>(const Packet2d& a, const Packet2d& b) { return _mm_max_pd(a,b); } |
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179 | template<> EIGEN_STRONG_INLINE Packet4i pmax<Packet4i>(const Packet4i& a, const Packet4i& b) |
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180 | { |
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181 | // after some bench, this version *is* faster than a scalar implementation |
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182 | Packet4i mask = _mm_cmpgt_epi32(a,b); |
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183 | return _mm_or_si128(_mm_and_si128(mask,a),_mm_andnot_si128(mask,b)); |
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184 | } |
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185 | |
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186 | template<> EIGEN_STRONG_INLINE Packet4f pand<Packet4f>(const Packet4f& a, const Packet4f& b) { return _mm_and_ps(a,b); } |
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187 | template<> EIGEN_STRONG_INLINE Packet2d pand<Packet2d>(const Packet2d& a, const Packet2d& b) { return _mm_and_pd(a,b); } |
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188 | template<> EIGEN_STRONG_INLINE Packet4i pand<Packet4i>(const Packet4i& a, const Packet4i& b) { return _mm_and_si128(a,b); } |
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189 | |
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190 | template<> EIGEN_STRONG_INLINE Packet4f por<Packet4f>(const Packet4f& a, const Packet4f& b) { return _mm_or_ps(a,b); } |
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191 | template<> EIGEN_STRONG_INLINE Packet2d por<Packet2d>(const Packet2d& a, const Packet2d& b) { return _mm_or_pd(a,b); } |
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192 | template<> EIGEN_STRONG_INLINE Packet4i por<Packet4i>(const Packet4i& a, const Packet4i& b) { return _mm_or_si128(a,b); } |
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193 | |
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194 | template<> EIGEN_STRONG_INLINE Packet4f pxor<Packet4f>(const Packet4f& a, const Packet4f& b) { return _mm_xor_ps(a,b); } |
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195 | template<> EIGEN_STRONG_INLINE Packet2d pxor<Packet2d>(const Packet2d& a, const Packet2d& b) { return _mm_xor_pd(a,b); } |
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196 | template<> EIGEN_STRONG_INLINE Packet4i pxor<Packet4i>(const Packet4i& a, const Packet4i& b) { return _mm_xor_si128(a,b); } |
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197 | |
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198 | template<> EIGEN_STRONG_INLINE Packet4f pandnot<Packet4f>(const Packet4f& a, const Packet4f& b) { return _mm_andnot_ps(a,b); } |
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199 | template<> EIGEN_STRONG_INLINE Packet2d pandnot<Packet2d>(const Packet2d& a, const Packet2d& b) { return _mm_andnot_pd(a,b); } |
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200 | template<> EIGEN_STRONG_INLINE Packet4i pandnot<Packet4i>(const Packet4i& a, const Packet4i& b) { return _mm_andnot_si128(a,b); } |
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201 | |
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202 | template<> EIGEN_STRONG_INLINE Packet4f pload<Packet4f>(const float* from) { EIGEN_DEBUG_ALIGNED_LOAD return _mm_load_ps(from); } |
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203 | template<> EIGEN_STRONG_INLINE Packet2d pload<Packet2d>(const double* from) { EIGEN_DEBUG_ALIGNED_LOAD return _mm_load_pd(from); } |
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204 | template<> EIGEN_STRONG_INLINE Packet4i pload<Packet4i>(const int* from) { EIGEN_DEBUG_ALIGNED_LOAD return _mm_load_si128(reinterpret_cast<const Packet4i*>(from)); } |
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205 | |
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206 | #if defined(_MSC_VER) |
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207 | template<> EIGEN_STRONG_INLINE Packet4f ploadu<Packet4f>(const float* from) { |
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208 | EIGEN_DEBUG_UNALIGNED_LOAD |
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209 | #if (_MSC_VER==1600) |
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210 | // NOTE Some version of MSVC10 generates bad code when using _mm_loadu_ps |
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211 | // (i.e., it does not generate an unaligned load!! |
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212 | // TODO On most architectures this version should also be faster than a single _mm_loadu_ps |
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213 | // so we could also enable it for MSVC08 but first we have to make this later does not generate crap when doing so... |
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214 | __m128 res = _mm_loadl_pi(_mm_set1_ps(0.0f), (const __m64*)(from)); |
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215 | res = _mm_loadh_pi(res, (const __m64*)(from+2)); |
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216 | return res; |
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217 | #else |
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218 | return _mm_loadu_ps(from); |
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219 | #endif |
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220 | } |
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221 | template<> EIGEN_STRONG_INLINE Packet2d ploadu<Packet2d>(const double* from) { EIGEN_DEBUG_UNALIGNED_LOAD return _mm_loadu_pd(from); } |
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222 | template<> EIGEN_STRONG_INLINE Packet4i ploadu<Packet4i>(const int* from) { EIGEN_DEBUG_UNALIGNED_LOAD return _mm_loadu_si128(reinterpret_cast<const Packet4i*>(from)); } |
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223 | #else |
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224 | // Fast unaligned loads. Note that here we cannot directly use intrinsics: this would |
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225 | // require pointer casting to incompatible pointer types and leads to invalid code |
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226 | // because of the strict aliasing rule. The "dummy" stuff are required to enforce |
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227 | // a correct instruction dependency. |
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228 | // TODO: do the same for MSVC (ICC is compatible) |
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229 | // NOTE: with the code below, MSVC's compiler crashes! |
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230 | |
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231 | #if defined(__GNUC__) && defined(__i386__) |
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232 | // bug 195: gcc/i386 emits weird x87 fldl/fstpl instructions for _mm_load_sd |
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233 | #define EIGEN_AVOID_CUSTOM_UNALIGNED_LOADS 1 |
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234 | #elif defined(__clang__) |
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235 | // bug 201: Segfaults in __mm_loadh_pd with clang 2.8 |
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236 | #define EIGEN_AVOID_CUSTOM_UNALIGNED_LOADS 1 |
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237 | #else |
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238 | #define EIGEN_AVOID_CUSTOM_UNALIGNED_LOADS 0 |
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239 | #endif |
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240 | |
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241 | template<> EIGEN_STRONG_INLINE Packet4f ploadu<Packet4f>(const float* from) |
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242 | { |
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243 | EIGEN_DEBUG_UNALIGNED_LOAD |
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244 | #if EIGEN_AVOID_CUSTOM_UNALIGNED_LOADS |
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245 | return _mm_loadu_ps(from); |
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246 | #else |
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247 | __m128d res; |
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248 | res = _mm_load_sd((const double*)(from)) ; |
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249 | res = _mm_loadh_pd(res, (const double*)(from+2)) ; |
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250 | return _mm_castpd_ps(res); |
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251 | #endif |
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252 | } |
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253 | template<> EIGEN_STRONG_INLINE Packet2d ploadu<Packet2d>(const double* from) |
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254 | { |
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255 | EIGEN_DEBUG_UNALIGNED_LOAD |
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256 | #if EIGEN_AVOID_CUSTOM_UNALIGNED_LOADS |
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257 | return _mm_loadu_pd(from); |
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258 | #else |
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259 | __m128d res; |
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260 | res = _mm_load_sd(from) ; |
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261 | res = _mm_loadh_pd(res,from+1); |
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262 | return res; |
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263 | #endif |
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264 | } |
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265 | template<> EIGEN_STRONG_INLINE Packet4i ploadu<Packet4i>(const int* from) |
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266 | { |
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267 | EIGEN_DEBUG_UNALIGNED_LOAD |
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268 | #if EIGEN_AVOID_CUSTOM_UNALIGNED_LOADS |
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269 | return _mm_loadu_si128(reinterpret_cast<const Packet4i*>(from)); |
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270 | #else |
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271 | __m128d res; |
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272 | res = _mm_load_sd((const double*)(from)) ; |
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273 | res = _mm_loadh_pd(res, (const double*)(from+2)) ; |
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274 | return _mm_castpd_si128(res); |
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275 | #endif |
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276 | } |
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277 | #endif |
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278 | |
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279 | template<> EIGEN_STRONG_INLINE Packet4f ploaddup<Packet4f>(const float* from) |
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280 | { |
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281 | return vec4f_swizzle1(_mm_castpd_ps(_mm_load_sd(reinterpret_cast<const double*>(from))), 0, 0, 1, 1); |
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282 | } |
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283 | template<> EIGEN_STRONG_INLINE Packet2d ploaddup<Packet2d>(const double* from) |
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284 | { return pset1<Packet2d>(from[0]); } |
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285 | template<> EIGEN_STRONG_INLINE Packet4i ploaddup<Packet4i>(const int* from) |
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286 | { |
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287 | Packet4i tmp; |
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288 | tmp = _mm_loadl_epi64(reinterpret_cast<const Packet4i*>(from)); |
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289 | return vec4i_swizzle1(tmp, 0, 0, 1, 1); |
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290 | } |
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291 | |
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292 | template<> EIGEN_STRONG_INLINE void pstore<float>(float* to, const Packet4f& from) { EIGEN_DEBUG_ALIGNED_STORE _mm_store_ps(to, from); } |
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293 | template<> EIGEN_STRONG_INLINE void pstore<double>(double* to, const Packet2d& from) { EIGEN_DEBUG_ALIGNED_STORE _mm_store_pd(to, from); } |
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294 | template<> EIGEN_STRONG_INLINE void pstore<int>(int* to, const Packet4i& from) { EIGEN_DEBUG_ALIGNED_STORE _mm_store_si128(reinterpret_cast<Packet4i*>(to), from); } |
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295 | |
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296 | template<> EIGEN_STRONG_INLINE void pstoreu<double>(double* to, const Packet2d& from) { |
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297 | EIGEN_DEBUG_UNALIGNED_STORE |
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298 | _mm_storel_pd((to), from); |
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299 | _mm_storeh_pd((to+1), from); |
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300 | } |
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301 | template<> EIGEN_STRONG_INLINE void pstoreu<float>(float* to, const Packet4f& from) { EIGEN_DEBUG_UNALIGNED_STORE pstoreu(reinterpret_cast<double*>(to), _mm_castps_pd(from)); } |
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302 | template<> EIGEN_STRONG_INLINE void pstoreu<int>(int* to, const Packet4i& from) { EIGEN_DEBUG_UNALIGNED_STORE pstoreu(reinterpret_cast<double*>(to), _mm_castsi128_pd(from)); } |
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303 | |
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304 | // some compilers might be tempted to perform multiple moves instead of using a vector path. |
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305 | template<> EIGEN_STRONG_INLINE void pstore1<Packet4f>(float* to, const float& a) |
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306 | { |
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307 | Packet4f pa = _mm_set_ss(a); |
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308 | pstore(to, vec4f_swizzle1(pa,0,0,0,0)); |
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309 | } |
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310 | // some compilers might be tempted to perform multiple moves instead of using a vector path. |
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311 | template<> EIGEN_STRONG_INLINE void pstore1<Packet2d>(double* to, const double& a) |
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312 | { |
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313 | Packet2d pa = _mm_set_sd(a); |
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314 | pstore(to, vec2d_swizzle1(pa,0,0)); |
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315 | } |
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316 | |
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317 | template<> EIGEN_STRONG_INLINE void prefetch<float>(const float* addr) { _mm_prefetch((const char*)(addr), _MM_HINT_T0); } |
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318 | template<> EIGEN_STRONG_INLINE void prefetch<double>(const double* addr) { _mm_prefetch((const char*)(addr), _MM_HINT_T0); } |
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319 | template<> EIGEN_STRONG_INLINE void prefetch<int>(const int* addr) { _mm_prefetch((const char*)(addr), _MM_HINT_T0); } |
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320 | |
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321 | #if defined(_MSC_VER) && defined(_WIN64) && !defined(__INTEL_COMPILER) |
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322 | // The temporary variable fixes an internal compilation error in vs <= 2008 and a wrong-result bug in vs 2010 |
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323 | // Direct of the struct members fixed bug #62. |
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324 | template<> EIGEN_STRONG_INLINE float pfirst<Packet4f>(const Packet4f& a) { return a.m128_f32[0]; } |
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325 | template<> EIGEN_STRONG_INLINE double pfirst<Packet2d>(const Packet2d& a) { return a.m128d_f64[0]; } |
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326 | template<> EIGEN_STRONG_INLINE int pfirst<Packet4i>(const Packet4i& a) { int x = _mm_cvtsi128_si32(a); return x; } |
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327 | #elif defined(_MSC_VER) && !defined(__INTEL_COMPILER) |
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328 | // The temporary variable fixes an internal compilation error in vs <= 2008 and a wrong-result bug in vs 2010 |
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329 | template<> EIGEN_STRONG_INLINE float pfirst<Packet4f>(const Packet4f& a) { float x = _mm_cvtss_f32(a); return x; } |
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330 | template<> EIGEN_STRONG_INLINE double pfirst<Packet2d>(const Packet2d& a) { double x = _mm_cvtsd_f64(a); return x; } |
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331 | template<> EIGEN_STRONG_INLINE int pfirst<Packet4i>(const Packet4i& a) { int x = _mm_cvtsi128_si32(a); return x; } |
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332 | #else |
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333 | template<> EIGEN_STRONG_INLINE float pfirst<Packet4f>(const Packet4f& a) { return _mm_cvtss_f32(a); } |
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334 | template<> EIGEN_STRONG_INLINE double pfirst<Packet2d>(const Packet2d& a) { return _mm_cvtsd_f64(a); } |
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335 | template<> EIGEN_STRONG_INLINE int pfirst<Packet4i>(const Packet4i& a) { return _mm_cvtsi128_si32(a); } |
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336 | #endif |
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337 | |
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338 | template<> EIGEN_STRONG_INLINE Packet4f preverse(const Packet4f& a) |
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339 | { return _mm_shuffle_ps(a,a,0x1B); } |
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340 | template<> EIGEN_STRONG_INLINE Packet2d preverse(const Packet2d& a) |
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341 | { return _mm_shuffle_pd(a,a,0x1); } |
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342 | template<> EIGEN_STRONG_INLINE Packet4i preverse(const Packet4i& a) |
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343 | { return _mm_shuffle_epi32(a,0x1B); } |
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344 | |
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345 | |
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346 | template<> EIGEN_STRONG_INLINE Packet4f pabs(const Packet4f& a) |
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347 | { |
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348 | const Packet4f mask = _mm_castsi128_ps(_mm_setr_epi32(0x7FFFFFFF,0x7FFFFFFF,0x7FFFFFFF,0x7FFFFFFF)); |
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349 | return _mm_and_ps(a,mask); |
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350 | } |
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351 | template<> EIGEN_STRONG_INLINE Packet2d pabs(const Packet2d& a) |
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352 | { |
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353 | const Packet2d mask = _mm_castsi128_pd(_mm_setr_epi32(0xFFFFFFFF,0x7FFFFFFF,0xFFFFFFFF,0x7FFFFFFF)); |
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354 | return _mm_and_pd(a,mask); |
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355 | } |
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356 | template<> EIGEN_STRONG_INLINE Packet4i pabs(const Packet4i& a) |
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357 | { |
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358 | #ifdef EIGEN_VECTORIZE_SSSE3 |
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359 | return _mm_abs_epi32(a); |
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360 | #else |
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361 | Packet4i aux = _mm_srai_epi32(a,31); |
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362 | return _mm_sub_epi32(_mm_xor_si128(a,aux),aux); |
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363 | #endif |
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364 | } |
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365 | |
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366 | EIGEN_STRONG_INLINE void punpackp(Packet4f* vecs) |
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367 | { |
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368 | vecs[1] = _mm_castsi128_ps(_mm_shuffle_epi32(_mm_castps_si128(vecs[0]), 0x55)); |
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369 | vecs[2] = _mm_castsi128_ps(_mm_shuffle_epi32(_mm_castps_si128(vecs[0]), 0xAA)); |
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370 | vecs[3] = _mm_castsi128_ps(_mm_shuffle_epi32(_mm_castps_si128(vecs[0]), 0xFF)); |
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371 | vecs[0] = _mm_castsi128_ps(_mm_shuffle_epi32(_mm_castps_si128(vecs[0]), 0x00)); |
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372 | } |
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373 | |
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374 | #ifdef EIGEN_VECTORIZE_SSE3 |
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375 | // TODO implement SSE2 versions as well as integer versions |
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376 | template<> EIGEN_STRONG_INLINE Packet4f preduxp<Packet4f>(const Packet4f* vecs) |
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377 | { |
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378 | return _mm_hadd_ps(_mm_hadd_ps(vecs[0], vecs[1]),_mm_hadd_ps(vecs[2], vecs[3])); |
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379 | } |
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380 | template<> EIGEN_STRONG_INLINE Packet2d preduxp<Packet2d>(const Packet2d* vecs) |
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381 | { |
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382 | return _mm_hadd_pd(vecs[0], vecs[1]); |
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383 | } |
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384 | // SSSE3 version: |
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385 | // EIGEN_STRONG_INLINE Packet4i preduxp(const Packet4i* vecs) |
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386 | // { |
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387 | // return _mm_hadd_epi32(_mm_hadd_epi32(vecs[0], vecs[1]),_mm_hadd_epi32(vecs[2], vecs[3])); |
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388 | // } |
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389 | |
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390 | template<> EIGEN_STRONG_INLINE float predux<Packet4f>(const Packet4f& a) |
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391 | { |
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392 | Packet4f tmp0 = _mm_hadd_ps(a,a); |
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393 | return pfirst(_mm_hadd_ps(tmp0, tmp0)); |
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394 | } |
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395 | |
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396 | template<> EIGEN_STRONG_INLINE double predux<Packet2d>(const Packet2d& a) { return pfirst(_mm_hadd_pd(a, a)); } |
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397 | |
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398 | // SSSE3 version: |
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399 | // EIGEN_STRONG_INLINE float predux(const Packet4i& a) |
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400 | // { |
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401 | // Packet4i tmp0 = _mm_hadd_epi32(a,a); |
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402 | // return pfirst(_mm_hadd_epi32(tmp0, tmp0)); |
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403 | // } |
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404 | #else |
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405 | // SSE2 versions |
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406 | template<> EIGEN_STRONG_INLINE float predux<Packet4f>(const Packet4f& a) |
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407 | { |
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408 | Packet4f tmp = _mm_add_ps(a, _mm_movehl_ps(a,a)); |
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409 | return pfirst(_mm_add_ss(tmp, _mm_shuffle_ps(tmp,tmp, 1))); |
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410 | } |
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411 | template<> EIGEN_STRONG_INLINE double predux<Packet2d>(const Packet2d& a) |
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412 | { |
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413 | return pfirst(_mm_add_sd(a, _mm_unpackhi_pd(a,a))); |
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414 | } |
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415 | |
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416 | template<> EIGEN_STRONG_INLINE Packet4f preduxp<Packet4f>(const Packet4f* vecs) |
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417 | { |
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418 | Packet4f tmp0, tmp1, tmp2; |
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419 | tmp0 = _mm_unpacklo_ps(vecs[0], vecs[1]); |
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420 | tmp1 = _mm_unpackhi_ps(vecs[0], vecs[1]); |
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421 | tmp2 = _mm_unpackhi_ps(vecs[2], vecs[3]); |
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422 | tmp0 = _mm_add_ps(tmp0, tmp1); |
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423 | tmp1 = _mm_unpacklo_ps(vecs[2], vecs[3]); |
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424 | tmp1 = _mm_add_ps(tmp1, tmp2); |
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425 | tmp2 = _mm_movehl_ps(tmp1, tmp0); |
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426 | tmp0 = _mm_movelh_ps(tmp0, tmp1); |
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427 | return _mm_add_ps(tmp0, tmp2); |
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428 | } |
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429 | |
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430 | template<> EIGEN_STRONG_INLINE Packet2d preduxp<Packet2d>(const Packet2d* vecs) |
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431 | { |
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432 | return _mm_add_pd(_mm_unpacklo_pd(vecs[0], vecs[1]), _mm_unpackhi_pd(vecs[0], vecs[1])); |
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433 | } |
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434 | #endif // SSE3 |
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435 | |
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436 | template<> EIGEN_STRONG_INLINE int predux<Packet4i>(const Packet4i& a) |
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437 | { |
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438 | Packet4i tmp = _mm_add_epi32(a, _mm_unpackhi_epi64(a,a)); |
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439 | return pfirst(tmp) + pfirst(_mm_shuffle_epi32(tmp, 1)); |
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440 | } |
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441 | |
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442 | template<> EIGEN_STRONG_INLINE Packet4i preduxp<Packet4i>(const Packet4i* vecs) |
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443 | { |
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444 | Packet4i tmp0, tmp1, tmp2; |
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445 | tmp0 = _mm_unpacklo_epi32(vecs[0], vecs[1]); |
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446 | tmp1 = _mm_unpackhi_epi32(vecs[0], vecs[1]); |
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447 | tmp2 = _mm_unpackhi_epi32(vecs[2], vecs[3]); |
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448 | tmp0 = _mm_add_epi32(tmp0, tmp1); |
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449 | tmp1 = _mm_unpacklo_epi32(vecs[2], vecs[3]); |
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450 | tmp1 = _mm_add_epi32(tmp1, tmp2); |
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451 | tmp2 = _mm_unpacklo_epi64(tmp0, tmp1); |
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452 | tmp0 = _mm_unpackhi_epi64(tmp0, tmp1); |
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453 | return _mm_add_epi32(tmp0, tmp2); |
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454 | } |
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455 | |
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456 | // Other reduction functions: |
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457 | |
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458 | // mul |
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459 | template<> EIGEN_STRONG_INLINE float predux_mul<Packet4f>(const Packet4f& a) |
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460 | { |
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461 | Packet4f tmp = _mm_mul_ps(a, _mm_movehl_ps(a,a)); |
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462 | return pfirst(_mm_mul_ss(tmp, _mm_shuffle_ps(tmp,tmp, 1))); |
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463 | } |
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464 | template<> EIGEN_STRONG_INLINE double predux_mul<Packet2d>(const Packet2d& a) |
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465 | { |
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466 | return pfirst(_mm_mul_sd(a, _mm_unpackhi_pd(a,a))); |
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467 | } |
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468 | template<> EIGEN_STRONG_INLINE int predux_mul<Packet4i>(const Packet4i& a) |
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469 | { |
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470 | // after some experiments, it is seems this is the fastest way to implement it |
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471 | // for GCC (eg., reusing pmul is very slow !) |
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472 | // TODO try to call _mm_mul_epu32 directly |
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473 | EIGEN_ALIGN16 int aux[4]; |
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474 | pstore(aux, a); |
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475 | return (aux[0] * aux[1]) * (aux[2] * aux[3]);; |
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476 | } |
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477 | |
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478 | // min |
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479 | template<> EIGEN_STRONG_INLINE float predux_min<Packet4f>(const Packet4f& a) |
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480 | { |
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481 | Packet4f tmp = _mm_min_ps(a, _mm_movehl_ps(a,a)); |
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482 | return pfirst(_mm_min_ss(tmp, _mm_shuffle_ps(tmp,tmp, 1))); |
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483 | } |
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484 | template<> EIGEN_STRONG_INLINE double predux_min<Packet2d>(const Packet2d& a) |
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485 | { |
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486 | return pfirst(_mm_min_sd(a, _mm_unpackhi_pd(a,a))); |
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487 | } |
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488 | template<> EIGEN_STRONG_INLINE int predux_min<Packet4i>(const Packet4i& a) |
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489 | { |
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490 | // after some experiments, it is seems this is the fastest way to implement it |
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491 | // for GCC (eg., it does not like using std::min after the pstore !!) |
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492 | EIGEN_ALIGN16 int aux[4]; |
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493 | pstore(aux, a); |
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494 | register int aux0 = aux[0]<aux[1] ? aux[0] : aux[1]; |
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495 | register int aux2 = aux[2]<aux[3] ? aux[2] : aux[3]; |
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496 | return aux0<aux2 ? aux0 : aux2; |
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497 | } |
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498 | |
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499 | // max |
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500 | template<> EIGEN_STRONG_INLINE float predux_max<Packet4f>(const Packet4f& a) |
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501 | { |
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502 | Packet4f tmp = _mm_max_ps(a, _mm_movehl_ps(a,a)); |
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503 | return pfirst(_mm_max_ss(tmp, _mm_shuffle_ps(tmp,tmp, 1))); |
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504 | } |
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505 | template<> EIGEN_STRONG_INLINE double predux_max<Packet2d>(const Packet2d& a) |
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506 | { |
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507 | return pfirst(_mm_max_sd(a, _mm_unpackhi_pd(a,a))); |
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508 | } |
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509 | template<> EIGEN_STRONG_INLINE int predux_max<Packet4i>(const Packet4i& a) |
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510 | { |
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511 | // after some experiments, it is seems this is the fastest way to implement it |
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512 | // for GCC (eg., it does not like using std::min after the pstore !!) |
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513 | EIGEN_ALIGN16 int aux[4]; |
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514 | pstore(aux, a); |
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515 | register int aux0 = aux[0]>aux[1] ? aux[0] : aux[1]; |
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516 | register int aux2 = aux[2]>aux[3] ? aux[2] : aux[3]; |
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517 | return aux0>aux2 ? aux0 : aux2; |
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518 | } |
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519 | |
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520 | #if (defined __GNUC__) |
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521 | // template <> EIGEN_STRONG_INLINE Packet4f pmadd(const Packet4f& a, const Packet4f& b, const Packet4f& c) |
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522 | // { |
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523 | // Packet4f res = b; |
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524 | // asm("mulps %[a], %[b] \n\taddps %[c], %[b]" : [b] "+x" (res) : [a] "x" (a), [c] "x" (c)); |
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525 | // return res; |
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526 | // } |
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527 | // EIGEN_STRONG_INLINE Packet4i _mm_alignr_epi8(const Packet4i& a, const Packet4i& b, const int i) |
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528 | // { |
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529 | // Packet4i res = a; |
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530 | // asm("palignr %[i], %[a], %[b] " : [b] "+x" (res) : [a] "x" (a), [i] "i" (i)); |
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531 | // return res; |
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532 | // } |
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533 | #endif |
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534 | |
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535 | #ifdef EIGEN_VECTORIZE_SSSE3 |
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536 | // SSSE3 versions |
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537 | template<int Offset> |
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538 | struct palign_impl<Offset,Packet4f> |
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539 | { |
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540 | static EIGEN_STRONG_INLINE void run(Packet4f& first, const Packet4f& second) |
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541 | { |
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542 | if (Offset!=0) |
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543 | first = _mm_castsi128_ps(_mm_alignr_epi8(_mm_castps_si128(second), _mm_castps_si128(first), Offset*4)); |
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544 | } |
---|
545 | }; |
---|
546 | |
---|
547 | template<int Offset> |
---|
548 | struct palign_impl<Offset,Packet4i> |
---|
549 | { |
---|
550 | static EIGEN_STRONG_INLINE void run(Packet4i& first, const Packet4i& second) |
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551 | { |
---|
552 | if (Offset!=0) |
---|
553 | first = _mm_alignr_epi8(second,first, Offset*4); |
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554 | } |
---|
555 | }; |
---|
556 | |
---|
557 | template<int Offset> |
---|
558 | struct palign_impl<Offset,Packet2d> |
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559 | { |
---|
560 | static EIGEN_STRONG_INLINE void run(Packet2d& first, const Packet2d& second) |
---|
561 | { |
---|
562 | if (Offset==1) |
---|
563 | first = _mm_castsi128_pd(_mm_alignr_epi8(_mm_castpd_si128(second), _mm_castpd_si128(first), 8)); |
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564 | } |
---|
565 | }; |
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566 | #else |
---|
567 | // SSE2 versions |
---|
568 | template<int Offset> |
---|
569 | struct palign_impl<Offset,Packet4f> |
---|
570 | { |
---|
571 | static EIGEN_STRONG_INLINE void run(Packet4f& first, const Packet4f& second) |
---|
572 | { |
---|
573 | if (Offset==1) |
---|
574 | { |
---|
575 | first = _mm_move_ss(first,second); |
---|
576 | first = _mm_castsi128_ps(_mm_shuffle_epi32(_mm_castps_si128(first),0x39)); |
---|
577 | } |
---|
578 | else if (Offset==2) |
---|
579 | { |
---|
580 | first = _mm_movehl_ps(first,first); |
---|
581 | first = _mm_movelh_ps(first,second); |
---|
582 | } |
---|
583 | else if (Offset==3) |
---|
584 | { |
---|
585 | first = _mm_move_ss(first,second); |
---|
586 | first = _mm_shuffle_ps(first,second,0x93); |
---|
587 | } |
---|
588 | } |
---|
589 | }; |
---|
590 | |
---|
591 | template<int Offset> |
---|
592 | struct palign_impl<Offset,Packet4i> |
---|
593 | { |
---|
594 | static EIGEN_STRONG_INLINE void run(Packet4i& first, const Packet4i& second) |
---|
595 | { |
---|
596 | if (Offset==1) |
---|
597 | { |
---|
598 | first = _mm_castps_si128(_mm_move_ss(_mm_castsi128_ps(first),_mm_castsi128_ps(second))); |
---|
599 | first = _mm_shuffle_epi32(first,0x39); |
---|
600 | } |
---|
601 | else if (Offset==2) |
---|
602 | { |
---|
603 | first = _mm_castps_si128(_mm_movehl_ps(_mm_castsi128_ps(first),_mm_castsi128_ps(first))); |
---|
604 | first = _mm_castps_si128(_mm_movelh_ps(_mm_castsi128_ps(first),_mm_castsi128_ps(second))); |
---|
605 | } |
---|
606 | else if (Offset==3) |
---|
607 | { |
---|
608 | first = _mm_castps_si128(_mm_move_ss(_mm_castsi128_ps(first),_mm_castsi128_ps(second))); |
---|
609 | first = _mm_castps_si128(_mm_shuffle_ps(_mm_castsi128_ps(first),_mm_castsi128_ps(second),0x93)); |
---|
610 | } |
---|
611 | } |
---|
612 | }; |
---|
613 | |
---|
614 | template<int Offset> |
---|
615 | struct palign_impl<Offset,Packet2d> |
---|
616 | { |
---|
617 | static EIGEN_STRONG_INLINE void run(Packet2d& first, const Packet2d& second) |
---|
618 | { |
---|
619 | if (Offset==1) |
---|
620 | { |
---|
621 | first = _mm_castps_pd(_mm_movehl_ps(_mm_castpd_ps(first),_mm_castpd_ps(first))); |
---|
622 | first = _mm_castps_pd(_mm_movelh_ps(_mm_castpd_ps(first),_mm_castpd_ps(second))); |
---|
623 | } |
---|
624 | } |
---|
625 | }; |
---|
626 | #endif |
---|
627 | |
---|
628 | } // end namespace internal |
---|
629 | |
---|
630 | } // end namespace Eigen |
---|
631 | |
---|
632 | #endif // EIGEN_PACKET_MATH_SSE_H |
---|