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1 /*
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2 * Copyright (c) 2003, 2007-14 Matteo Frigo
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3 * Copyright (c) 2003, 2007-14 Massachusetts Institute of Technology
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4 *
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5 * Improvements to 256-bit AVX by Erik Lindahl, 2015.
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6 * Erik Lindahl places his modifications in the public domain.
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7 *
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8 * This program is free software; you can redistribute it and/or modify
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9 * it under the terms of the GNU General Public License as published by
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10 * the Free Software Foundation; either version 2 of the License, or
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11 * (at your option) any later version.
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12 *
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13 * This program is distributed in the hope that it will be useful,
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14 * but WITHOUT ANY WARRANTY; without even the implied warranty of
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15 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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16 * GNU General Public License for more details.
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17 *
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18 * You should have received a copy of the GNU General Public License
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19 * along with this program; if not, write to the Free Software
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20 * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
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21 *
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22 */
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23
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24 #if defined(FFTW_LDOUBLE) || defined(FFTW_QUAD)
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25 #error "AVX only works in single or double precision"
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26 #endif
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27
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28 #ifdef FFTW_SINGLE
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29 # define DS(d,s) s /* single-precision option */
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30 # define SUFF(name) name ## s
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31 #else
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32 # define DS(d,s) d /* double-precision option */
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33 # define SUFF(name) name ## d
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34 #endif
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35
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36 #define SIMD_SUFFIX _avx /* for renaming */
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37 #define VL DS(2, 4) /* SIMD complex vector length */
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38 #define SIMD_VSTRIDE_OKA(x) ((x) == 2)
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39 #define SIMD_STRIDE_OKPAIR SIMD_STRIDE_OK
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40
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41 #if defined(__GNUC__) && !defined(__AVX__) /* sanity check */
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42 #error "compiling simd-avx.h without -mavx"
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43 #endif
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44
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45 #ifdef _MSC_VER
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46 #ifndef inline
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47 #define inline __inline
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48 #endif
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49 #endif
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50
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51 #include <immintrin.h>
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52
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53 typedef DS(__m256d, __m256) V;
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54 #define VADD SUFF(_mm256_add_p)
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55 #define VSUB SUFF(_mm256_sub_p)
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56 #define VMUL SUFF(_mm256_mul_p)
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57 #define VXOR SUFF(_mm256_xor_p)
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58 #define VSHUF SUFF(_mm256_shuffle_p)
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59 #define VPERM1 SUFF(_mm256_permute_p)
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60
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61 #define SHUFVALD(fp0,fp1) \
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62 (((fp1) << 3) | ((fp0) << 2) | ((fp1) << 1) | ((fp0)))
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63 #define SHUFVALS(fp0,fp1,fp2,fp3) \
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64 (((fp3) << 6) | ((fp2) << 4) | ((fp1) << 2) | ((fp0)))
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65
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66 #define VDUPL(x) DS(_mm256_movedup_pd(x), _mm256_moveldup_ps(x))
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67 #define VDUPH(x) DS(_mm256_permute_pd(x,SHUFVALD(1,1)), _mm256_movehdup_ps(x))
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68
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69 #define VLIT(x0, x1) DS(_mm256_set_pd(x0, x1, x0, x1), _mm256_set_ps(x0, x1, x0, x1, x0, x1, x0, x1))
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70 #define DVK(var, val) V var = VLIT(val, val)
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71 #define LDK(x) x
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72
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73 static inline V LDA(const R *x, INT ivs, const R *aligned_like)
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74 {
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75 (void)aligned_like; /* UNUSED */
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76 (void)ivs; /* UNUSED */
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77 return SUFF(_mm256_loadu_p)(x);
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78 }
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79
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80 static inline void STA(R *x, V v, INT ovs, const R *aligned_like)
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81 {
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82 (void)aligned_like; /* UNUSED */
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83 (void)ovs; /* UNUSED */
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84 SUFF(_mm256_storeu_p)(x, v);
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85 }
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86
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87 #if FFTW_SINGLE
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88
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89 #define LOADH(addr, val) _mm_loadh_pi(val, (const __m64 *)(addr))
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90 #define LOADL(addr, val) _mm_loadl_pi(val, (const __m64 *)(addr))
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91 #define STOREH(addr, val) _mm_storeh_pi((__m64 *)(addr), val)
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92 #define STOREL(addr, val) _mm_storel_pi((__m64 *)(addr), val)
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93
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94 /* it seems like the only AVX way to store 4 complex floats is to
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95 extract two pairs of complex floats into two __m128 registers, and
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96 then use SSE-like half-stores. Similarly, to load 4 complex
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97 floats, we load two pairs of complex floats into two __m128
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98 registers, and then pack the two __m128 registers into one __m256
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99 value. */
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100 static inline V LD(const R *x, INT ivs, const R *aligned_like)
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101 {
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102 __m128 l0, l1, h0, h1;
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103 (void)aligned_like; /* UNUSED */
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104 #if defined(__ICC) || (__GNUC__ > 4) || (__GNUC__ == 4 && __GNUC_MINOR__ > 8)
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105 l0 = LOADL(x, SUFF(_mm_undefined_p)());
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106 l1 = LOADL(x + ivs, SUFF(_mm_undefined_p)());
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107 h0 = LOADL(x + 2*ivs, SUFF(_mm_undefined_p)());
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108 h1 = LOADL(x + 3*ivs, SUFF(_mm_undefined_p)());
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109 #else
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110 l0 = LOADL(x, l0);
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111 l1 = LOADL(x + ivs, l1);
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112 h0 = LOADL(x + 2*ivs, h0);
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113 h1 = LOADL(x + 3*ivs, h1);
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114 #endif
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115 l0 = SUFF(_mm_movelh_p)(l0,l1);
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116 h0 = SUFF(_mm_movelh_p)(h0,h1);
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117 return _mm256_insertf128_ps(_mm256_castps128_ps256(l0), h0, 1);
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118 }
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119
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120 static inline void ST(R *x, V v, INT ovs, const R *aligned_like)
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121 {
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122 __m128 h = _mm256_extractf128_ps(v, 1);
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123 __m128 l = _mm256_castps256_ps128(v);
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124 (void)aligned_like; /* UNUSED */
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125 /* WARNING: the extra_iter hack depends upon STOREL occurring
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126 after STOREH */
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127 STOREH(x + 3*ovs, h);
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128 STOREL(x + 2*ovs, h);
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129 STOREH(x + ovs, l);
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130 STOREL(x, l);
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131 }
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132
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133 #define STM2(x, v, ovs, aligned_like) /* no-op */
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134 static inline void STN2(R *x, V v0, V v1, INT ovs)
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135 {
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136 V x0 = VSHUF(v0, v1, SHUFVALS(0, 1, 0, 1));
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137 V x1 = VSHUF(v0, v1, SHUFVALS(2, 3, 2, 3));
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138 __m128 h0 = _mm256_extractf128_ps(x0, 1);
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139 __m128 l0 = _mm256_castps256_ps128(x0);
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140 __m128 h1 = _mm256_extractf128_ps(x1, 1);
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141 __m128 l1 = _mm256_castps256_ps128(x1);
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142
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143 *(__m128 *)(x + 3*ovs) = h1;
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144 *(__m128 *)(x + 2*ovs) = h0;
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145 *(__m128 *)(x + 1*ovs) = l1;
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146 *(__m128 *)(x + 0*ovs) = l0;
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147 }
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148
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149 #define STM4(x, v, ovs, aligned_like) /* no-op */
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150 #define STN4(x, v0, v1, v2, v3, ovs) \
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151 { \
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152 V xxx0, xxx1, xxx2, xxx3; \
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153 V yyy0, yyy1, yyy2, yyy3; \
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154 xxx0 = _mm256_unpacklo_ps(v0, v2); \
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155 xxx1 = _mm256_unpackhi_ps(v0, v2); \
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156 xxx2 = _mm256_unpacklo_ps(v1, v3); \
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157 xxx3 = _mm256_unpackhi_ps(v1, v3); \
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158 yyy0 = _mm256_unpacklo_ps(xxx0, xxx2); \
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159 yyy1 = _mm256_unpackhi_ps(xxx0, xxx2); \
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160 yyy2 = _mm256_unpacklo_ps(xxx1, xxx3); \
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161 yyy3 = _mm256_unpackhi_ps(xxx1, xxx3); \
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162 *(__m128 *)(x + 0 * ovs) = _mm256_castps256_ps128(yyy0); \
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163 *(__m128 *)(x + 4 * ovs) = _mm256_extractf128_ps(yyy0, 1); \
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164 *(__m128 *)(x + 1 * ovs) = _mm256_castps256_ps128(yyy1); \
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165 *(__m128 *)(x + 5 * ovs) = _mm256_extractf128_ps(yyy1, 1); \
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166 *(__m128 *)(x + 2 * ovs) = _mm256_castps256_ps128(yyy2); \
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167 *(__m128 *)(x + 6 * ovs) = _mm256_extractf128_ps(yyy2, 1); \
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168 *(__m128 *)(x + 3 * ovs) = _mm256_castps256_ps128(yyy3); \
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169 *(__m128 *)(x + 7 * ovs) = _mm256_extractf128_ps(yyy3, 1); \
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170 }
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171
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172 #else
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173 static inline __m128d VMOVAPD_LD(const R *x)
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174 {
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175 /* gcc-4.6 miscompiles the combination _mm256_castpd128_pd256(VMOVAPD_LD(x))
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176 into a 256-bit vmovapd, which requires 32-byte aligment instead of
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177 16-byte alignment.
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178
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179 Force the use of vmovapd via asm until compilers stabilize.
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180 */
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181 #if defined(__GNUC__)
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182 __m128d var;
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183 __asm__("vmovapd %1, %0\n" : "=x"(var) : "m"(x[0]));
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184 return var;
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185 #else
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186 return *(const __m128d *)x;
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187 #endif
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188 }
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189
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190 static inline V LD(const R *x, INT ivs, const R *aligned_like)
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191 {
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192 V var;
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193 (void)aligned_like; /* UNUSED */
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194 var = _mm256_castpd128_pd256(VMOVAPD_LD(x));
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195 var = _mm256_insertf128_pd(var, *(const __m128d *)(x+ivs), 1);
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196 return var;
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197 }
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198
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199 static inline void ST(R *x, V v, INT ovs, const R *aligned_like)
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200 {
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201 (void)aligned_like; /* UNUSED */
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202 /* WARNING: the extra_iter hack depends upon the store of the low
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203 part occurring after the store of the high part */
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204 *(__m128d *)(x + ovs) = _mm256_extractf128_pd(v, 1);
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205 *(__m128d *)x = _mm256_castpd256_pd128(v);
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206 }
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207
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208
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209 #define STM2 ST
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210 #define STN2(x, v0, v1, ovs) /* nop */
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211 #define STM4(x, v, ovs, aligned_like) /* no-op */
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212
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213 /* STN4 is a macro, not a function, thanks to Visual C++ developers
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214 deciding "it would be infrequent that people would want to pass more
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215 than 3 [__m128 parameters] by value." Even though the comment
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216 was made about __m128 parameters, it appears to apply to __m256
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217 parameters as well. */
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218 #define STN4(x, v0, v1, v2, v3, ovs) \
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219 { \
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220 V xxx0, xxx1, xxx2, xxx3; \
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221 xxx0 = _mm256_unpacklo_pd(v0, v1); \
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222 xxx1 = _mm256_unpackhi_pd(v0, v1); \
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223 xxx2 = _mm256_unpacklo_pd(v2, v3); \
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224 xxx3 = _mm256_unpackhi_pd(v2, v3); \
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225 STA(x, _mm256_permute2f128_pd(xxx0, xxx2, 0x20), 0, 0); \
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226 STA(x + ovs, _mm256_permute2f128_pd(xxx1, xxx3, 0x20), 0, 0); \
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227 STA(x + 2 * ovs, _mm256_permute2f128_pd(xxx0, xxx2, 0x31), 0, 0); \
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228 STA(x + 3 * ovs, _mm256_permute2f128_pd(xxx1, xxx3, 0x31), 0, 0); \
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229 }
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230 #endif
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231
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232 static inline V FLIP_RI(V x)
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233 {
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234 return VPERM1(x,
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235 DS(SHUFVALD(1, 0),
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236 SHUFVALS(1, 0, 3, 2)));
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237 }
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238
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239 static inline V VCONJ(V x)
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240 {
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241 V pmpm = VLIT(-0.0, 0.0);
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242 return VXOR(pmpm, x);
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243 }
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244
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245 static inline V VBYI(V x)
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246 {
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247 return FLIP_RI(VCONJ(x));
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248 }
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249
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250 /* FMA support */
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251 #define VFMA(a, b, c) VADD(c, VMUL(a, b))
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252 #define VFNMS(a, b, c) VSUB(c, VMUL(a, b))
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253 #define VFMS(a, b, c) VSUB(VMUL(a, b), c)
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254 #define VFMAI(b, c) SUFF(_mm256_addsub_p)(c,FLIP_RI(b))
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255 #define VFNMSI(b, c) VSUB(c, VBYI(b))
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256 #define VFMACONJ(b,c) VADD(VCONJ(b),c)
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257 #define VFMSCONJ(b,c) VSUB(VCONJ(b),c)
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258 #define VFNMSCONJ(b,c) SUFF(_mm256_addsub_p)(c,b)
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259
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260 static inline V VZMUL(V tx, V sr)
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261 {
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262 V tr = VDUPL(tx);
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263 V ti = VDUPH(tx);
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264 tr = VMUL(tr, sr);
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265 ti = VMUL(ti, FLIP_RI(sr));
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266 return SUFF(_mm256_addsub_p)(tr,ti);
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267 }
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268
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269 static inline V VZMULJ(V tx, V sr)
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270 {
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271 V tr = VDUPL(tx);
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272 V ti = VDUPH(tx);
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273 tr = VMUL(tr, sr);
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274 sr = VBYI(sr);
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275 return VFNMS(ti, sr, tr);
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276 }
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277
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278 static inline V VZMULI(V tx, V sr)
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279 {
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280 V tr = VDUPL(tx);
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281 V ti = VDUPH(tx);
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282 ti = VMUL(ti, sr);
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283 sr = VBYI(sr);
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284 return VFMS(tr, sr, ti);
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285 }
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286
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287 static inline V VZMULIJ(V tx, V sr)
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288 {
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289 V tr = VDUPL(tx);
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290 V ti = VDUPH(tx);
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291 ti = VMUL(ti, sr);
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292 tr = VMUL(tr, FLIP_RI(sr));
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293 return SUFF(_mm256_addsub_p)(ti,tr);
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294 }
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295
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296 /* twiddle storage #1: compact, slower */
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297 #ifdef FFTW_SINGLE
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298 # define VTW1(v,x) {TW_CEXP, v, x}, {TW_CEXP, v+1, x}, {TW_CEXP, v+2, x}, {TW_CEXP, v+3, x}
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299 #else
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300 # define VTW1(v,x) {TW_CEXP, v, x}, {TW_CEXP, v+1, x}
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301 #endif
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302 #define TWVL1 (VL)
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303
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304 static inline V BYTW1(const R *t, V sr)
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305 {
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306 return VZMUL(LDA(t, 2, t), sr);
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307 }
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308
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309 static inline V BYTWJ1(const R *t, V sr)
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310 {
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311 return VZMULJ(LDA(t, 2, t), sr);
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312 }
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313
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314 /* twiddle storage #2: twice the space, faster (when in cache) */
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315 #ifdef FFTW_SINGLE
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316 # define VTW2(v,x) \
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317 {TW_COS, v, x}, {TW_COS, v, x}, {TW_COS, v+1, x}, {TW_COS, v+1, x}, \
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318 {TW_COS, v+2, x}, {TW_COS, v+2, x}, {TW_COS, v+3, x}, {TW_COS, v+3, x}, \
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319 {TW_SIN, v, -x}, {TW_SIN, v, x}, {TW_SIN, v+1, -x}, {TW_SIN, v+1, x}, \
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320 {TW_SIN, v+2, -x}, {TW_SIN, v+2, x}, {TW_SIN, v+3, -x}, {TW_SIN, v+3, x}
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321 #else
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322 # define VTW2(v,x) \
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323 {TW_COS, v, x}, {TW_COS, v, x}, {TW_COS, v+1, x}, {TW_COS, v+1, x}, \
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324 {TW_SIN, v, -x}, {TW_SIN, v, x}, {TW_SIN, v+1, -x}, {TW_SIN, v+1, x}
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325 #endif
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326 #define TWVL2 (2 * VL)
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327
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328 static inline V BYTW2(const R *t, V sr)
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329 {
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330 const V *twp = (const V *)t;
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331 V si = FLIP_RI(sr);
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332 V tr = twp[0], ti = twp[1];
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333 return VFMA(tr, sr, VMUL(ti, si));
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334 }
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335
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336 static inline V BYTWJ2(const R *t, V sr)
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337 {
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338 const V *twp = (const V *)t;
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339 V si = FLIP_RI(sr);
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340 V tr = twp[0], ti = twp[1];
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341 return VFNMS(ti, si, VMUL(tr, sr));
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342 }
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343
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344 /* twiddle storage #3 */
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345 #define VTW3 VTW1
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346 #define TWVL3 TWVL1
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347
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348 /* twiddle storage for split arrays */
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349 #ifdef FFTW_SINGLE
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350 # define VTWS(v,x) \
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351 {TW_COS, v, x}, {TW_COS, v+1, x}, {TW_COS, v+2, x}, {TW_COS, v+3, x}, \
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352 {TW_COS, v+4, x}, {TW_COS, v+5, x}, {TW_COS, v+6, x}, {TW_COS, v+7, x}, \
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353 {TW_SIN, v, x}, {TW_SIN, v+1, x}, {TW_SIN, v+2, x}, {TW_SIN, v+3, x}, \
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354 {TW_SIN, v+4, x}, {TW_SIN, v+5, x}, {TW_SIN, v+6, x}, {TW_SIN, v+7, x}
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355 #else
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356 # define VTWS(v,x) \
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357 {TW_COS, v, x}, {TW_COS, v+1, x}, {TW_COS, v+2, x}, {TW_COS, v+3, x}, \
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358 {TW_SIN, v, x}, {TW_SIN, v+1, x}, {TW_SIN, v+2, x}, {TW_SIN, v+3, x}
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359 #endif
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360 #define TWVLS (2 * VL)
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361
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362
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363 /* Use VZEROUPPER to avoid the penalty of switching from AVX to SSE.
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364 See Intel Optimization Manual (April 2011, version 248966), Section
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365 11.3 */
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366 #define VLEAVE _mm256_zeroupper
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367
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368 #include "simd-common.h"
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