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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 * 128-bit AVX2 support by Erik Lindahl, 2015.
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6 * Erik Lindahl hereby 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 "AVX2 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 _avx2_128 /* for renaming */
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37 #define VL DS(1,2) /* SIMD vector length, in term of complex numbers */
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38 #define SIMD_VSTRIDE_OKA(x) DS(1,((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(__AVX2__) /* sanity check */
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42 #error "compiling simd-avx2-128.h without avx2 support"
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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(__m128d,__m128) V;
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54 #define VADD SUFF(_mm_add_p)
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55 #define VSUB SUFF(_mm_sub_p)
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56 #define VMUL SUFF(_mm_mul_p)
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57 #define VXOR SUFF(_mm_xor_p)
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58 #define SHUF SUFF(_mm_shuffle_p)
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59 #define VPERM1 SUFF(_mm_permute_p)
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60 #define UNPCKL SUFF(_mm_unpacklo_p)
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61 #define UNPCKH SUFF(_mm_unpackhi_p)
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62
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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(_mm_permute_pd(x,0), _mm_moveldup_ps(x))
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67 #define VDUPH(x) DS(_mm_permute_pd(x,3), _mm_movehdup_ps(x))
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68 #define LOADH(addr, val) _mm_loadh_pi(val, (const __m64 *)(addr))
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69 #define LOADL(addr, val) _mm_loadl_pi(val, (const __m64 *)(addr))
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70 #define STOREH(a, v) DS(_mm_storeh_pd(a, v), _mm_storeh_pi((__m64 *)(a), v))
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71 #define STOREL(a, v) DS(_mm_storel_pd(a, v), _mm_storel_pi((__m64 *)(a), v))
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72
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73 #define VLIT(x0, x1) DS(_mm_set_pd(x0, x1), _mm_set_ps(x0, x1, x0, x1))
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74 #define DVK(var, val) V var = VLIT(val, val)
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75 #define LDK(x) x
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76
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77 static inline V LDA(const R *x, INT ivs, const R *aligned_like)
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78 {
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79 (void)aligned_like; /* UNUSED */
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80 (void)ivs; /* UNUSED */
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81 return *(const V *)x;
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82 }
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83
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84 static inline void STA(R *x, V v, INT ovs, const R *aligned_like)
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85 {
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86 (void)aligned_like; /* UNUSED */
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87 (void)ovs; /* UNUSED */
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88 *(V *)x = v;
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89 }
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90
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91 #ifdef FFTW_SINGLE
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92
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93 # ifdef _MSC_VER
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94 /* Temporarily disable the warning "uninitialized local variable
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95 'name' used" and runtime checks for using a variable before it is
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96 defined which is erroneously triggered by the LOADL0 / LOADH macros
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97 as they only modify VAL partly each. */
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98 # ifndef __INTEL_COMPILER
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99 # pragma warning(disable : 4700)
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100 # pragma runtime_checks("u", off)
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101 # endif
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102 # endif
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103 # ifdef __INTEL_COMPILER
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104 # pragma warning(disable : 592)
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105 # endif
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106
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107 static inline V LD(const R *x, INT ivs, const R *aligned_like)
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108 {
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109 __m128 l0, l1;
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110 (void)aligned_like; /* UNUSED */
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111 #if defined(__ICC) || (__GNUC__ > 4) || (__GNUC__ == 4 && __GNUC_MINOR__ > 8)
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112 l0 = LOADL(x, SUFF(_mm_undefined_p)());
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113 l1 = LOADL(x + ivs, SUFF(_mm_undefined_p)());
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114 #else
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115 l0 = LOADL(x, l0);
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116 l1 = LOADL(x + ivs, l1);
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117 #endif
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118 return SUFF(_mm_movelh_p)(l0,l1);
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119 }
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120
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121 # ifdef _MSC_VER
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122 # ifndef __INTEL_COMPILER
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123 # pragma warning(default : 4700)
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124 # pragma runtime_checks("u", restore)
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125 # endif
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126 # endif
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127 # ifdef __INTEL_COMPILER
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128 # pragma warning(default : 592)
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129 # endif
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130
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131 static inline void ST(R *x, V v, INT ovs, const R *aligned_like)
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132 {
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133 (void)aligned_like; /* UNUSED */
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134 /* WARNING: the extra_iter hack depends upon STOREL occurring
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135 after STOREH */
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136 STOREH(x + ovs, v);
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137 STOREL(x, v);
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138 }
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139
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140 #else /* ! FFTW_SINGLE */
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141 # define LD LDA
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142 # define ST STA
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143 #endif
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144
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145 #define STM2 DS(STA,ST)
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146 #define STN2(x, v0, v1, ovs) /* nop */
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147
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148 #ifdef FFTW_SINGLE
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149 # define STM4(x, v, ovs, aligned_like) /* no-op */
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150 /* STN4 is a macro, not a function, thanks to Visual C++ developers
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151 deciding "it would be infrequent that people would want to pass more
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152 than 3 [__m128 parameters] by value." 3 parameters ought to be enough
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153 for anybody. */
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154 # define STN4(x, v0, v1, v2, v3, ovs) \
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155 { \
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156 V xxx0, xxx1, xxx2, xxx3; \
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157 xxx0 = UNPCKL(v0, v2); \
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158 xxx1 = UNPCKH(v0, v2); \
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159 xxx2 = UNPCKL(v1, v3); \
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160 xxx3 = UNPCKH(v1, v3); \
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161 STA(x, UNPCKL(xxx0, xxx2), 0, 0); \
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162 STA(x + ovs, UNPCKH(xxx0, xxx2), 0, 0); \
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163 STA(x + 2 * ovs, UNPCKL(xxx1, xxx3), 0, 0); \
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164 STA(x + 3 * ovs, UNPCKH(xxx1, xxx3), 0, 0); \
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165 }
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166 #else /* !FFTW_SINGLE */
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167 static inline void STM4(R *x, V v, INT ovs, const R *aligned_like)
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168 {
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169 (void)aligned_like; /* UNUSED */
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170 STOREL(x, v);
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171 STOREH(x + ovs, v);
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172 }
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173 # define STN4(x, v0, v1, v2, v3, ovs) /* nothing */
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174 #endif
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175
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176 static inline V FLIP_RI(V x)
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177 {
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178 return VPERM1(x, DS(1, SHUFVALS(1, 0, 3, 2)));
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179 }
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180
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181 static inline V VCONJ(V x)
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182 {
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183 /* Produce a SIMD vector[VL] of (0 + -0i).
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184
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185 We really want to write this:
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186
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187 V pmpm = VLIT(-0.0, 0.0);
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188
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189 but historically some compilers have ignored the distiction
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190 between +0 and -0. It looks like 'gcc-8 -fast-math' treats -0
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191 as 0 too.
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192 */
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193 union uvec {
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194 unsigned u[4];
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195 V v;
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196 };
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197 static const union uvec pmpm = {
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198 #ifdef FFTW_SINGLE
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199 { 0x00000000, 0x80000000, 0x00000000, 0x80000000 }
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200 #else
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201 { 0x00000000, 0x00000000, 0x00000000, 0x80000000 }
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202 #endif
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203 };
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204 return VXOR(pmpm.v, x);
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205 }
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206
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207 static inline V VBYI(V x)
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208 {
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209 x = VCONJ(x);
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210 x = FLIP_RI(x);
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211 return x;
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212 }
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213
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214 /* FMA support */
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215 #define VFMA(a, b, c) SUFF(_mm_fmadd_p)(a,b,c)
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216 #define VFNMS(a, b, c) SUFF(_mm_fnmadd_p)(a,b,c)
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217 #define VFMS(a, b, c) SUFF(_mm_fmsub_p)(a,b,c)
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218 #define VFMAI(b, c) SUFF(_mm_addsub_p)(c,FLIP_RI(b))
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219 #define VFNMSI(b, c) VSUB(c, VBYI(b))
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220 #define VFMACONJ(b,c) VADD(VCONJ(b),c)
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221 #define VFMSCONJ(b,c) VSUB(VCONJ(b),c)
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222 #define VFNMSCONJ(b,c) SUFF(_mm_addsub_p)(c,b)
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223
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224
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225 static inline V VZMUL(V tx, V sr)
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226 {
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227 V tr = VDUPL(tx);
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228 V ti = VDUPH(tx);
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229 ti = VMUL(ti, FLIP_RI(sr));
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230 return SUFF(_mm_fmaddsub_p)(tr,sr,ti);
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231 }
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232
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233 static inline V VZMULJ(V tx, V sr)
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234 {
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235 V tr = VDUPL(tx);
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236 V ti = VDUPH(tx);
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237 ti = VMUL(ti, FLIP_RI(sr));
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238 return SUFF(_mm_fmsubadd_p)(tr,sr,ti);
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239 }
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240
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241 static inline V VZMULI(V tx, V sr)
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242 {
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243 V tr = VDUPL(tx);
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244 V ti = VDUPH(tx);
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245 ti = VMUL(ti, sr);
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246 sr = VBYI(sr);
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247 return VFMS(tr, sr, ti);
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248 }
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249
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250 static inline V VZMULIJ(V tx, V sr)
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251 {
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252 V tr = VDUPL(tx);
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253 V ti = VDUPH(tx);
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254 tr = VMUL(tr, FLIP_RI(sr));
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255 return SUFF(_mm_fmaddsub_p)(ti,sr,tr);
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256 }
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257
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258 /* twiddle storage #1: compact, slower */
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259 #ifdef FFTW_SINGLE
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260 # define VTW1(v,x) \
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261 {TW_COS, v, x}, {TW_COS, v+1, x}, {TW_SIN, v, x}, {TW_SIN, v+1, x}
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262 static inline V BYTW1(const R *t, V sr)
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263 {
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264 const V *twp = (const V *)t;
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265 V tx = twp[0];
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266 V tr = UNPCKL(tx, tx);
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267 V ti = UNPCKH(tx, tx);
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268 ti = VMUL(ti, FLIP_RI(sr));
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269 return SUFF(_mm_fmaddsub_p)(tr,sr,ti);
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270 }
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271 static inline V BYTWJ1(const R *t, V sr)
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272 {
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273 const V *twp = (const V *)t;
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274 V tx = twp[0];
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275 V tr = UNPCKL(tx, tx);
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276 V ti = UNPCKH(tx, tx);
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277 ti = VMUL(ti, FLIP_RI(sr));
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278 return SUFF(_mm_fmsubadd_p)(tr,sr,ti);
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279 }
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280 #else /* !FFTW_SINGLE */
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281 # define VTW1(v,x) {TW_CEXP, v, x}
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282 static inline V BYTW1(const R *t, V sr)
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283 {
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284 V tx = LD(t, 1, t);
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285 return VZMUL(tx, sr);
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286 }
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287 static inline V BYTWJ1(const R *t, V sr)
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288 {
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289 V tx = LD(t, 1, t);
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290 return VZMULJ(tx, sr);
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291 }
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292 #endif
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293 #define TWVL1 (VL)
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294
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295 /* twiddle storage #2: twice the space, faster (when in cache) */
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296 #ifdef FFTW_SINGLE
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297 # define VTW2(v,x) \
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298 {TW_COS, v, x}, {TW_COS, v, x}, {TW_COS, v+1, x}, {TW_COS, v+1, x}, \
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299 {TW_SIN, v, -x}, {TW_SIN, v, x}, {TW_SIN, v+1, -x}, {TW_SIN, v+1, x}
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300 #else /* !FFTW_SINGLE */
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301 # define VTW2(v,x) \
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302 {TW_COS, v, x}, {TW_COS, v, x}, {TW_SIN, v, -x}, {TW_SIN, v, x}
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303 #endif
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304 #define TWVL2 (2 * VL)
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305 static inline V BYTW2(const R *t, V sr)
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306 {
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307 const V *twp = (const V *)t;
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308 V si = FLIP_RI(sr);
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309 V tr = twp[0], ti = twp[1];
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310 return VFMA(tr, sr, VMUL(ti, si));
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311 }
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312 static inline V BYTWJ2(const R *t, V sr)
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313 {
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314 const V *twp = (const V *)t;
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315 V si = FLIP_RI(sr);
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316 V tr = twp[0], ti = twp[1];
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317 return VFNMS(ti, si, VMUL(tr, sr));
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318 }
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319
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320 /* twiddle storage #3 */
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321 #ifdef FFTW_SINGLE
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322 # define VTW3(v,x) {TW_CEXP, v, x}, {TW_CEXP, v+1, x}
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323 # define TWVL3 (VL)
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324 #else
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325 # define VTW3(v,x) VTW1(v,x)
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326 # define TWVL3 TWVL1
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327 #endif
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328
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329 /* twiddle storage for split arrays */
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330 #ifdef FFTW_SINGLE
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331 # define VTWS(v,x) \
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332 {TW_COS, v, x}, {TW_COS, v+1, x}, {TW_COS, v+2, x}, {TW_COS, v+3, x}, \
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333 {TW_SIN, v, x}, {TW_SIN, v+1, x}, {TW_SIN, v+2, x}, {TW_SIN, v+3, x}
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334 #else
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335 # define VTWS(v,x) \
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336 {TW_COS, v, x}, {TW_COS, v+1, x}, {TW_SIN, v, x}, {TW_SIN, v+1, x}
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337 #endif
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338 #define TWVLS (2 * VL)
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339
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340 #define VLEAVE() /* nothing */
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341
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342 #include "simd-common.h"
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